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)*z**(3/7)*z*z*z/((z/z**0*z)/z) assuming z is positive.
z**(-15/14)
Simplify q**11/q*q*q/q**(-2)*q assuming q is positive.
q**15
Simplify (n/(n**(-2/11)/n)*n**(-7/3))**(-23) assuming n is positive.
n**(115/33)
Simplify h**7/(h*h*h/(h**(1/6)*h)) assuming h is positive.
h**(31/6)
Simplify w**(-37/2)/(w**(-3/4)*w*w) assuming w is positive.
w**(-79/4)
Simplify (u**0)**2*(u*(u*u*u*u**0*u)/u)**48 assuming u is positive.
u**192
Simplify i/(i**(-2/13)/i)*i*i**(11/6)*i assuming i is positive.
i**(467/78)
Simplify (k/(k*k**(-2/65)/k*k))/k**(-17/2) assuming k is positive.
k**(1109/130)
Simplify (j**3*j/(j*j**7*j))**(-1/21) assuming j is positive.
j**(5/21)
Simplify (y**10/y)/(y*y**(-17)/y*y) assuming y is positive.
y**25
Simplify (((o*o**(-1))/o)/o**(-4))/(o**2/o**5) assuming o is positive.
o**6
Simplify ((q*q/q**4)/q**(-2))/((q/(q/q**3)*q*q)/q*q*q**(5/4)) assuming q is positive.
q**(-25/4)
Simplify (y**1)**20*(y/y**1)**(3/44) assuming y is positive.
y**20
Simplify (m**(2/3)*m)**(3/2)/(m/(m/(m*m/(m**3*m)))*m**(-1/4)/m) assuming m is positive.
m**(23/4)
Simplify ((j**(3/4)*j)/j*j)**6 assuming j is positive.
j**(21/2)
Simplify (n**(5/7))**(-1/2) assuming n is positive.
n**(-5/14)
Simplify z**(-9)*(z/z**(2/29))/z assuming z is positive.
z**(-263/29)
Simplify (s/s**(3/7))/s*s*s**(-2/25)/s*(s*s/(s**(-5)*s)*s*s)/(s*(s*s**(5/2)/s)/s) assuming s is positive.
s**(1747/350)
Simplify (w/((w/(w/(w/w**6*w)*w))/w))/(w**(-1/32)*w) assuming w is positive.
w**(193/32)
Simplify (n**(2/5))**(-2/11)*n*n**(-6)*n/n**(-2/3) assuming n is positive.
n**(-562/165)
Simplify (s/((s**(-10)*s)/s)*s**(-9/2))**(-21/4) assuming s is positive.
s**(-273/8)
Simplify (c/(c/(c*c/c**4))*c**(5/3))**(22/7) assuming c is positive.
c**(-22/21)
Simplify ((h/((h**(-10)/h)/h*h))/h)**(3/22) assuming h is positive.
h**(3/2)
Simplify (v**(2/3)/v*v*v)**40*v**(-3/4)/v**(-1/3) assuming v is positive.
v**(265/4)
Simplify s*s**0*s**4*(s*s/s**1)**(-27) assuming s is positive.
s**(-22)
Simplify ((j/((j*j/(j/((j**(2/3)*j)/j*j*j)))/j))/j)**(2/93)/(j**0)**(2/29) assuming j is positive.
j**(-16/279)
Simplify ((v/(v/v**(-9/2))*v)/(v*v/(v/v**(-3/14))))**(-47) assuming v is positive.
v**(1410/7)
Simplify c**(1/15)*c**44 assuming c is positive.
c**(661/15)
Simplify ((g*((g**(-4)/g*g)/g)/g)/g*g)/g*g*g**(2/25) assuming g is positive.
g**(-123/25)
Simplify (z**(-1/4))**13*(z*z**0*z)**(-7/4) assuming z is positive.
z**(-27/4)
Simplify (((q**(2/19)/q)/q)/q**(-1))/(q/(q**(-5/6)/q*q)*q**(1/3)) assuming q is positive.
q**(-349/114)
Simplify (a*a/a**4)/(a*((a/(a**(-3/2)/a))/a)/a*a) assuming a is positive.
a**(-11/2)
Simplify (i/(i*i**(2/7)/i)*i*i/(i**(-4)*i))**(1/30) assuming i is positive.
i**(4/21)
Simplify b**(-1/6)*b*b**2*b**7/(b**6/b*b) assuming b is positive.
b**(23/6)
Simplify (f/(f/((f**(-1/5)*f)/f)))**39 assuming f is positive.
f**(-39/5)
Simplify ((t*t*t**1)/t)**(-3/44)/(t**(-1/3)/t*t)**(26/3) assuming t is positive.
t**(545/198)
Simplify (v**(-4/5)*(v*((v/v**(-1/6))/v)/v)/v)/((v*v/(v*v/(v/(v**(-10/7)/v))))/(v**(2/7)/v)) assuming v is positive.
v**(-1213/210)
Simplify (n**(-3))**(-30/13) assuming n is positive.
n**(90/13)
Simplify ((n*n*n*n**(-2)*n)**(-2/57))**44 assuming n is positive.
n**(-176/57)
Simplify (j**(1/3))**(-22)/((j*j/(j/(j*j**7)))/(j*j**(1/12)*j*j)) assuming j is positive.
j**(-53/4)
Simplify f*f*f*f/(f/(f/(f*f/f**(2/7)*f*f)))*f*f*f*f**2 assuming f is positive.
f**(37/7)
Simplify (r**12*r**(-4/13))**(-2/45) assuming r is positive.
r**(-304/585)
Simplify (g**(1/2)*g**(-10))**(-36/5) assuming g is positive.
g**(342/5)
Simplify ((u*u**(-4/7))/((u*u/(u**(-2)/u))/u))/((u*u/(u/(u*((u*u**(-2)*u)/u)/u))*u)/(u/u**(-1/3))) assuming u is positive.
u**(-68/21)
Simplify z**(-2/15)*z*z*z/(z*z**(-3/11)*z)*(z*z**11/z)/z**(2/21) assuming z is positive.
z**(4637/385)
Simplify (j**(1/4)*j**(-6))/(j*j*j**(-3)*j*(j*j**0)/j) assuming j is positive.
j**(-23/4)
Simplify (w/(w*(w/(w/w**(9/7)))/w))/w**(10/9) assuming w is positive.
w**(-88/63)
Simplify (x**(-3)/x**(3/8))**(-1/23) assuming x is positive.
x**(27/184)
Simplify ((s*s**(-1))**(-10/17))**(4/17) assuming s is positive.
1
Simplify (v**2*(v/v**(-1))/v)**(4/7) assuming v is positive.
v**(12/7)
Simplify (z/(z/z**0))**10*(z*z**0)**(-48) assuming z is positive.
z**(-48)
Simplify (p**(-1/5)*p/(p/(p*p*(p**(-2/9)*p)/p))*p)/((p**(-3/7)/p)/(p**1*p)) assuming p is positive.
p**(1892/315)
Simplify (f**12)**(-42) assuming f is positive.
f**(-504)
Simplify ((q/((q*q*q**(1/25)/q)/q))/q)/q**(1/15) assuming q is positive.
q**(-8/75)
Simplify (y*y**(-8)*y)/y**(-1/6)*(y*y*y/y**(2/9)*y)**4 assuming y is positive.
y**(167/18)
Simplify (y**8*y)**(-1/76) assuming y is positive.
y**(-9/76)
Simplify a**14*a**14 assuming a is positive.
a**28
Simplify (o**(4/9))**(-2/123) assuming o is positive.
o**(-8/1107)
Simplify ((g**(2/5))**(6/11))**(13/6) assuming g is positive.
g**(26/55)
Simplify ((k/(k/((k*k*(k/(k**(1/4)/k)*k*k)/k*k)/k)))**(4/7))**(1/57) assuming k is positive.
k**(1/21)
Simplify (((o/(o/(o**(-2/9)/o*o*o)*o))/o*o)**(-31/2))**(3/22) assuming o is positive.
o**(31/66)
Simplify ((y*y*y**(2/3)*y*y)/y)**31*((((y*y/y**(-1/6))/y)/y)/y)/(y/y**0) assuming y is positive.
y**(671/6)
Simplify a**(-3/29)*a**(2/11)*a*a assuming a is positive.
a**(663/319)
Simplify (u**(-2)/u)**44*((((u*u**(-1)*u)/u)/u)/u)**(-26) assuming u is positive.
u**(-80)
Simplify (z*z**(4/5)*z*z)/z**16 assuming z is positive.
z**(-61/5)
Simplify n/(n**(-7)*n)*n**(2/7)*(n*((n/(n/n**0))/n)/n*n)/n*n**(-1) assuming n is positive.
n**(37/7)
Simplify ((z**(-1))**(-9/8))**(3/11) assuming z is positive.
z**(27/88)
Simplify d/(d/d**(1/8))*d/(d**(-19)/d*d) assuming d is positive.
d**(161/8)
Simplify (d**(1/4)/(d/d**(-1/6)*d))/(d**(-1))**15 assuming d is positive.
d**(157/12)
Simplify (c**(-12))**(5/6) assuming c is positive.
c**(-10)
Simplify (z/z**3*z)/(z*z*z**(-3)/z)*z**(-1/3)/z**(-3) assuming z is positive.
z**(11/3)
Simplify ((t*t/((t/(t**6*t))/t))/(t/(t*t**(5/4))))/(t**(-2)/((t/((t**(-2/9)*t)/t))/t)) assuming t is positive.
t**(449/36)
Simplify (z**(-1/4)/z**3)**(-1/58) assuming z is positive.
z**(13/232)
Simplify j/j**(2/19)*j**(4/15) assuming j is positive.
j**(331/285)
Simplify y**(-3/13)*((y/(y*y*y/(y**(-1/6)*y*y)*y))/y)/y assuming y is positive.
y**(-265/78)
Simplify (((p*p/p**(-2/11)*p*p)/p)/p**(-2/5))**2 assuming p is positive.
p**(394/55)
Simplify (s**(-3))**16 assuming s is positive.
s**(-48)
Simplify g**(-4/7)*g**(-4)/g*g assuming g is positive.
g**(-32/7)
Simplify (y**(-2))**(-10)*(y**(1/5))**(-2/7) assuming y is positive.
y**(698/35)
Simplify ((((m/m**(1/5))/m)/m)**(-1/16))**14 assuming m is positive.
m**(21/20)
Simplify ((j*j/j**(-1/3)*j)/j*j)/(j/(j*(j*j*j/((j*((j*j**(2/5)*j)/j)/j*j)/j*j))/j))*(j*j/(j/j**5))/j**(2/5) assuming j is positive.
j**(128/15)
Simplify (u**(-5/3)*u*u*u*u**5)/((u/(u*u**(2/11)))/(u**(-4)*u)) assuming u is positive.
u**(116/33)
Simplify w**(-4/3)/w**(-2/55) assuming w is positive.
w**(-214/165)
Simplify b*b/(b**(-12/11)/b*b)*b/(b/((b*(b*b**(-8)*b)/b)/b))*b assuming b is positive.
b**(-32/11)
Simplify (p*p**(-2/5))**46/((((p/p**(-5))/p)/p*p)/p**(2/15)) assuming p is positive.
p**(341/15)
Simplify (g**(-3/10)/g**1)/(g/g**2)**(3/14) assuming g is positive.
g**(-38/35)
Simplify (y*(y*((y*y**4)/y)/y*y)/y*y*y/(y**(-1)/y))/(y*y**(-2/7)*y*y)**(3/13) assuming y is positive.
y**(762/91)
Simplify u/(u*u/((u/(u*u**(-42)))/u))*u**(2/51)/u assuming u is positive.
u**(1991/51)
Simplify f*f**(-41)*f**(-2)/f assuming f is positive.
f**(-43)
Simplify v/(v/(v*v*(v**(2/7)*v)/v*v)*v)*v*v**(2/47)/v assuming v is positive.
v**(766/329)
Simplify ((g*g*g**(2/25)*g)/(g/(g*g*g**(2/5)/g)))/(g**(-1/2)/(g/(g*g/(g**(-5)/g)))) assuming g is positive.
g**(-151/50)
Simplify (t*t**(2/13))/t*t/(t**(2/7)*t)*t**8*t*(t/t**3)/t assuming t is positive.
t**(534/91)
Simplify (f**7*f*(f/((f/(f*f*((f/f**6)/f)/f))/f))/f)**(-13) assuming f is positive.
f**(-39)
Simplify w**(-2)/(w**(-2/11)/w) assuming w is positive.
w**(-9/11)
Simplify n**(-5/3)/n*n*(n/(n/n**(-16))*n*n)/n assuming n is positive.
n**(-50/3)
Simplify (u**7/(u*u**(-9)/u))**(-29/3) assuming u is positive.
u**(-464/3)
Simplify (n/(n**2/n))**(-8/15)*n**(-6)*n**(-2/25)/n assuming n is positive.
n**(-177/25)
Simplify (m/m**7)**(-2/23) assuming m is positive.
m**(12/23)
Simplif | {
"pile_set_name": "DM Mathematics"
} |
rom {e: 2, x: 1, w: 5, y: 1}. Give prob of picking 1 w and 1 y.
5/36
What is prob of picking 1 n and 1 g when two letters picked without replacement from {g: 4, t: 8, n: 8}?
16/95
Calculate prob of picking 2 a and 2 z when four letters picked without replacement from qzaaqzaqaa.
1/21
Three letters picked without replacement from {t: 6, o: 1, m: 4, k: 3, y: 2}. Give prob of picking 2 k and 1 t.
9/280
Four letters picked without replacement from {l: 9}. What is prob of picking 4 l?
1
Three letters picked without replacement from hhhhhhhhh. Give prob of picking 3 h.
1
What is prob of picking 3 l and 1 k when four letters picked without replacement from klkkllkk?
1/14
Three letters picked without replacement from {d: 2, c: 3}. Give prob of picking 3 c.
1/10
Calculate prob of picking 2 c when two letters picked without replacement from scsssscsssssssscsc.
2/51
Two letters picked without replacement from {w: 4, e: 2}. Give prob of picking 1 w and 1 e.
8/15
What is prob of picking 3 x when three letters picked without replacement from xxx?
1
What is prob of picking 1 c and 1 i when two letters picked without replacement from {p: 1, i: 5, m: 2, c: 2, b: 4, g: 1}?
2/21
What is prob of picking 1 j and 3 s when four letters picked without replacement from {j: 1, d: 9, s: 9}?
7/323
Two letters picked without replacement from {u: 1, m: 4, h: 2, q: 2, r: 3}. Give prob of picking 1 m and 1 h.
4/33
Two letters picked without replacement from {e: 1, m: 2, d: 1}. What is prob of picking 1 m and 1 d?
1/3
Calculate prob of picking 1 k, 1 r, 1 d, and 1 t when four letters picked without replacement from kkddkrrktdykktyr.
27/455
Two letters picked without replacement from yaa. Give prob of picking 1 a and 1 y.
2/3
Calculate prob of picking 3 f when three letters picked without replacement from lftttftftftftltt.
1/56
Calculate prob of picking 2 c and 1 r when three letters picked without replacement from scryzczcc.
1/14
What is prob of picking 2 y, 1 f, and 1 w when four letters picked without replacement from wywwfufiyiiiuyiwif?
1/85
Two letters picked without replacement from {c: 4, l: 1, n: 2, j: 2}. Give prob of picking 2 j.
1/36
What is prob of picking 2 o and 2 q when four letters picked without replacement from {o: 10, q: 4}?
270/1001
Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {g: 1, z: 1, i: 1, y: 1, f: 1}.
1/10
What is prob of picking 1 n and 2 e when three letters picked without replacement from ddeneqqeddeeeq?
15/364
Three letters picked without replacement from {f: 10, u: 4}. Give prob of picking 2 u and 1 f.
15/91
What is prob of picking 2 a, 1 k, and 1 b when four letters picked without replacement from {t: 1, k: 1, m: 2, b: 1, a: 12}?
33/1190
Two letters picked without replacement from {z: 6, e: 6}. What is prob of picking 1 e and 1 z?
6/11
Two letters picked without replacement from {q: 1, a: 17, e: 1}. What is prob of picking 1 q and 1 e?
1/171
What is prob of picking 1 z and 1 p when two letters picked without replacement from pkfqwqpwzkfpfp?
4/91
Four letters picked without replacement from llevvlxllzlllevzzxx. Give prob of picking 3 z and 1 v.
1/1292
Four letters picked without replacement from {t: 3, j: 3, g: 4, z: 3, w: 3}. Give prob of picking 1 w, 2 z, and 1 j.
27/1820
What is prob of picking 1 z and 2 l when three letters picked without replacement from lzzzqllllzzll?
105/286
Calculate prob of picking 1 x and 1 b when two letters picked without replacement from bxbxxx.
8/15
Calculate prob of picking 1 s and 1 h when two letters picked without replacement from htebs.
1/10
Calculate prob of picking 4 n when four letters picked without replacement from {b: 3, n: 5}.
1/14
Three letters picked without replacement from nyjsnjunnjunsyn. What is prob of picking 1 s and 2 n?
6/91
Four letters picked without replacement from {f: 1, r: 2, b: 2, z: 1, s: 1, l: 2}. Give prob of picking 2 r, 1 f, and 1 z.
1/126
Three letters picked without replacement from ajjjjan. Give prob of picking 1 a and 2 j.
12/35
Three letters picked without replacement from qqeeeeqeqqqq. Give prob of picking 1 q and 2 e.
7/22
Three letters picked without replacement from {u: 4, b: 3}. Give prob of picking 2 b and 1 u.
12/35
Four letters picked without replacement from {c: 9, i: 1, k: 1}. Give prob of picking 1 i and 3 c.
14/55
Two letters picked without replacement from {q: 11, h: 9}. Give prob of picking 2 h.
18/95
Four letters picked without replacement from hpcbpplbhlpbppiihc. What is prob of picking 1 p, 1 b, and 2 l?
1/170
Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {p: 1, f: 2, z: 1}.
1/3
Four letters picked without replacement from {e: 3, n: 3}. Give prob of picking 1 n and 3 e.
1/5
What is prob of picking 1 a, 1 m, and 2 s when four letters picked without replacement from smsssmaaaasmaam?
16/91
Calculate prob of picking 1 h and 1 o when two letters picked without replacement from fffhffhoo.
1/9
What is prob of picking 2 c when two letters picked without replacement from {c: 5}?
1
What is prob of picking 1 d and 2 e when three letters picked without replacement from eeddddd?
1/7
Three letters picked without replacement from lxlllllxxxxxxlxx. What is prob of picking 2 l and 1 x?
27/80
Calculate prob of picking 3 u and 1 k when four letters picked without replacement from pkspkpkksukukkuks.
2/595
Calculate prob of picking 1 l, 1 j, 1 f, and 1 y when four letters picked without replacement from llrbybjf.
1/35
Four letters picked without replacement from {b: 1, u: 1, a: 2, f: 1, r: 3, s: 5}. Give prob of picking 1 f and 3 r.
1/715
Two letters picked without replacement from mftxc. What is prob of picking 1 m and 1 f?
1/10
What is prob of picking 2 h and 1 b when three letters picked without replacement from {b: 2, h: 2, t: 4, r: 1}?
1/42
Two letters picked without replacement from {k: 1, w: 1, e: 4, h: 5, i: 4}. What is prob of picking 1 e and 1 h?
4/21
Three letters picked without replacement from {i: 11, k: 5}. Give prob of picking 1 k and 2 i.
55/112
Two letters picked without replacement from {n: 2, e: 6, y: 1, f: 3}. Give prob of picking 1 f and 1 n.
1/11
Calculate prob of picking 1 u and 3 q when four letters picked without replacement from {u: 1, q: 12}.
4/13
What is prob of picking 2 y when two letters picked without replacement from fyfyyffffyfffy?
10/91
Two letters picked without replacement from wnbsbhn. What is prob of picking 1 h and 1 b?
2/21
Calculate prob of picking 1 g and 1 d when two letters picked without replacement from {v: 2, g: 2, d: 1}.
1/5
Two letters picked without replacement from rktakkaeteeektree. What is prob of picking 1 r and 1 e?
3/34
What is prob of picking 4 a when four letters picked without replacement from {a: 7, p: 7}?
5/143
Four letters picked without replacement from {v: 1, b: 8, j: 10}. Give prob of picking 3 j and 1 v.
10/323
Four letters picked without replacement from uiuvuviiiixxivivxixi. What is prob of picking 1 u and 3 v?
4/1615
What is prob of picking 1 k, 1 j, and 1 n when three letters picked without replacement from nnkjnkjjkkjj?
3/11
Calculate prob of picking 3 o and 1 s when four letters picked without replacement from {b: 1, o: 1, v: 1, s: 10}.
0
Calculate prob of picking 2 j when two letters picked without replacement from kkgjkjajkjkkbkkkjf.
10/153
What is prob of picking 1 g and 1 c when two letters picked without replacement from qgc?
1/3
What is prob of picking 2 u and 2 h when four letters picked without replacement from {u: 7, i: 3, h: 3}?
63/715
Four letters picked without replacement from fllqkklqkllqk. What is prob of picking 4 k?
1/715
Two letters picked without replacement from jwr. What is prob of picking 1 w and 1 j?
1/3
Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {g: 6, j: 1, a: 2, y: 1, d: 3, e: 2}.
2/35
What is prob of picking 2 e and 1 c when three letters picked without replacement from {c: 2, e: 3, h: 6, x: 2, w: 2}?
6/455
Calculate prob of picking 1 p and 1 z when two letters picked without replacement from tttttzzpzzoi.
2/33
What is prob of picking 1 t and 1 r when two letters picked without replacement from {v: 1, t: 1, m: 1, e: 3, r: 1, q: 6}?
1/78
Three letters pi | {
"pile_set_name": "DM Mathematics"
} |
6). Which is smaller: f or z?
z
Let a = -0.734 - -30.004. Let z = 29 - a. Are 1 and z unequal?
True
Suppose 9 + 0 = 3*v. Suppose 2*j = -5*n + 16, 2*n - 5 + v = -3*j. Which is greater: -1 or j?
-1
Let j be 230/8 + (-7)/(-28). Let k = -30 + j. Is k < 1/4?
True
Suppose 3*m - 49 - 44 = -w, 0 = 3*w + 5*m - 283. Suppose 5*v - w = 2*n, -2*v - v = -5*n - 50. Let f be (-28)/v - (0 - 1). Which is smaller: 1 or f?
f
Let b = -4 + 4. Let c = -17.5 + 16.3. Which is greater: b or c?
b
Let o(u) = -u**2 - 6*u + 3. Let b be o(-6). Suppose 0 = b*d - 5*d. Is d greater than -2/11?
True
Let u = -774 + 775. Let x be (-178)/(-92) + (1 - 3). Are x and u non-equal?
True
Let m(i) = 2*i**3 + 6*i - 11. Let u be m(2). Which is bigger: 0.09 or u?
u
Suppose 3*x + 4*q - 28 = 0, x + q = -4*x + 24. Suppose x*a - 21 = -5*p, 0*a + 17 = p + 4*a. Which is smaller: p or 23/3?
p
Suppose 2*o = 3*o - 5. Suppose -9*m + 5*m + 3*b + 2 = 0, -5*b = 3*m - 16. Suppose o = m*q + 9. Is -3 greater than q?
False
Let a be (-10)/(-6)*22/407. Let j = a - -1444/1221. Which is smaller: j or 1?
1
Let d = -243.01 - -243. Is d >= -20/9?
True
Suppose 1 + 44 = 5*g. Suppose -13 = -2*u + g. Which is smaller: 1/3 or u?
1/3
Let o = -4 - -4. Suppose o = v + 10 + 2. Let q be v/22*8/(-12). Which is smaller: -1 or q?
-1
Let y = 850 + -879. Is y >= -26?
False
Suppose 0 = k - 5*g + 17, -33*k + 12 = -34*k + 4*g. Which is greater: k or 170/23?
k
Let r = -1.143 - -0.143. Let b = 11 - 7. Let o = b - r. Which is greater: o or 1?
o
Let p = -1.42 - -1.52. Is p less than or equal to 8/29?
True
Let i = 10 - 36. Let q = -25.96 - i. Is q greater than -1?
True
Let x = -8.99 + 0.89. Let g = -8 - x. Which is smaller: -0.2 or g?
-0.2
Let m(t) = 23*t + 161. Let p be m(-7). Is p not equal to 1/35?
True
Let y = 24888/19 + -1310. Which is smaller: 0.1 or y?
y
Let h be 1322/(-22) + -6 + 8 + -3. Let s = -141770/2321 - h. Which is smaller: -1 or s?
-1
Let g = -12.7 - -6.8. Let n = g - -1.9. Is n not equal to 2?
True
Let f = -3 - -4. Let r be 2/3*3/f. Do 2 and r have the same value?
True
Let l be 8349/(-48) - 0/(-2). Let h(w) = w**3 + 4*w**2 - w - 34. Let o be h(-7). Let p = l - o. Which is smaller: 0 or p?
0
Let f(q) = q**2 - 6*q - 4. Let l be f(6). Let h be (-488)/18 - l/(-18). Let p = h + 245/9. Is 0 greater than or equal to p?
True
Let l be -4*(3 - (-3)/4). Let h = 13 + l. Let c(k) = -k**3 - 2*k**2 + k. Let n be c(h). Which is greater: n or 0.01?
0.01
Let u = -2.75 + 2.75. Are -60 and u nonequal?
True
Let t = -11.866 + -0.234. Let s = t + 0.1. Let a = s - -11. Which is bigger: 10 or a?
10
Suppose 4*h + 3*u - 13 = 0, 2*h + 0*u + 3*u = 5. Suppose h*o = -39 + 7. Let s(b) = b**2 + 8*b. Let x be s(-7). Which is bigger: o or x?
x
Let t(s) be the third derivative of -s**5/60 + s**4/4 + 2*s**2. Let v be t(6). Suppose v = -19*b + 22*b - 12. Is 5 >= b?
True
Let d(z) = z**3 + 12*z**2 - 11*z + 14. Let p be d(-13). Let i be p/16 + (-1)/4. Which is smaller: i or -11/6?
-11/6
Let y = -493 - -2025/4. Which is smaller: y or 1?
1
Let c(m) = -m**3 - 24*m**2 - 22*m + 22. Let q be c(-23). Does q = -2/87?
False
Let m be 2 - 0*(-3)/(-3). Suppose 1 - m = -v. Let s be -2*v/30*-2. Which is smaller: s or -1?
-1
Let x = 219 - 224. Is -5 greater than x?
False
Let f = -9495 + 3807498/401. Is 0 less than or equal to f?
True
Let y = -11 + 11.17. Let s = y - 0.11. Let g = s + -4.06. Are g and 0 non-equal?
True
Let c = 34 + 25. Let p = -473/8 + c. Is -0.1 < p?
False
Let l(i) = i**2 + i - 2. Let g be l(-9). Let r be (-42)/g*(-10)/3. Which is greater: 1/2 or r?
r
Let x = -13 + 10. Let j be (10/x + 3)*33. Let b be -1 + (-4)/1*54/24. Do b and j have different values?
True
Suppose -2*l - 6 + 18 = 0. Suppose 2*g - 2 = -0*k + k, 0 = -5*g + 3*k + l. Is 2 smaller than g?
False
Let f be (-9)/12*1024/72. Is f greater than or equal to -10?
False
Let y(i) = 6*i - 1. Let h(s) = 11*s - 3. Let l(n) = -4*h(n) + 7*y(n). Let t be l(2). Which is smaller: t or 1/10?
1/10
Let t(o) = 4*o**3 - o**2 + 3*o - 2. Let k be t(1). Suppose -k*f = 6*f - 480. Which is bigger: f or 50?
50
Let l = -932 + 899. Which is smaller: -35 or l?
-35
Let t(h) = -h**2 - 8*h + 21. Let j be t(-10). Which is smaller: -2/121 or j?
-2/121
Let f(l) be the second derivative of -l**3/6 + 15*l**2/2 - 7*l. Let s be f(12). Let u = -9 + s. Is -6 smaller than u?
False
Let q = -21 + 26. Let s(b) = -3*b + 13. Let c be s(q). Let x = -4 - -4.07. Which is greater: c or x?
x
Let h = -218 - -220. Is 18/7 greater than or equal to h?
True
Let z = 28/19 - 93/76. Let m = -1.9 + 2.94. Let g = -0.04 + m. Which is smaller: z or g?
z
Suppose 10 + 15 = -5*m, 0 = 4*q - 3*m - 511. Suppose 13*h = 9*h + q. Is h greater than 31?
False
Let f be -3 + (-67)/(-6) - 4/24. Let u be (-4)/(f/6)*6/(-66). Which is greater: -0.3 or u?
u
Let v(r) = r - 1. Let f be v(5). Which is greater: f or -4?
f
Let t = 9.19 - 8.19. Which is bigger: t or 1.58?
1.58
Let d be (-7)/15*(-9)/(-2). Suppose -17*s - 26 = -9. Is s >= d?
True
Suppose 4*v - 3*i + 3030 = v, 3*v + 5*i + 3038 = 0. Is v at most as big as -1010?
True
Let b(a) = -a**3 + 8*a**2 - 11*a - 6. Let v = 137 + -131. Let o be b(v). Is -7/20 smaller than o?
True
Let c(g) be the first derivative of -g**3/3 - 4*g**2 - 3*g - 7. Let p be c(-7). Suppose -5*a + 6 + p = 0. Which is smaller: 3/5 or a?
3/5
Let j be (1 - 2) + 2 - 7. Let d = 10 + j. Let q be (-3 - -2) + (d - 3). Which is smaller: -2/5 or q?
-2/5
Let k = -446583050/621 + 719135. Let h = -7/27 - k. Is 1 smaller than h?
False
Let o(c) = 3*c - 7 - 2 - 6*c - 1. Let q be o(-5). Suppose 0 = q*p - 3*p + 2. Does p = -1/8?
False
Let t be (-2)/27 + (-2203)/27. Which is smaller: -83 or t?
-83
Let r(g) = g**2 - 12*g + 4. Let l be r(12). Suppose 2 = -2*i + l*i, -4*y = 2*i + 70. Are y and -16 non-equal?
True
Suppose -9*s = -6*s. Let i = 7 - 4. Let z be 1*s/(i + -1). Is 0 > z?
False
Suppose -o + 5 = 4*o. Let u be (-1 + 19)*o/3. Let b be 3 - u/5*2. Which is smaller: 0 or b?
0
Let k(f) = -36*f + 386. Let p be k(7). Which is smaller: 135 or p?
p
Let s be -7 - (-6)/(-4)*(-150)/45. Which is smaller: s or -45/31?
s
Let f = -1.5298 - -0.0298. Let b = -0.2 - -0.2. Which is smaller: b or f?
f
Let h = 21.16 - 27. Which is smaller: h or 0?
h
Let g = 2 - 3. Let q be (-1 - 13/(-5))*60/80. Which is greater: g or q?
q
Let s be (-6)/14 - (-6 - (-1349)/(-77)). Let z = s - 6317/275. Is z greater than 2/5?
False
Let o = -8132/49 - -166. Which is smaller: o or -1?
-1
Let x be 54/6 + 2301/(-260). Which is smaller: x or 1?
x
Suppose -14*v + 10*v = 0. Suppose 10 = -2*i - 5*x - 12, -3*i - 2*x - 22 = v. Which is bigger: i or -5?
-5
Let k = 141 - 249. Let s = 100 + k. Suppose 8 = 4*d, 2*d + 11 + 9 = -3*o. Is s bigger than o?
False
Let y be 33/4*280/15. Let i be 16/y + 14/77. Which is smaller: i or -2?
-2
Suppose 0 = -0*f - 3*f + 27. Suppose f = -6*i - 69. Which is smaller: i or -14?
-14
Let u be 5/2 + (-3)/6. Let p(g) = -g**2 + 4*g - 3. Let f be p(u). Let t be (-2)/(3/1 - 1). Which is smaller: f or t?
t
Suppose -46*q - 25*q + 3692 = 0. Is 62 bigger than q?
True
Let p = -27.5696 + -0.0304. Which is bigger: p or 0?
0
Suppose 2486 = 12*t + 38. Are t and 208 unequal?
True
Suppose -4*q - q = -15. Suppose q*a + 3 - 18 = -s, 0 = -5*a + 4*s + 42. Let p be (-1)/a + (-78)/36. Are -2 and p unequal?
True
Let d = -33 - -35. Suppose 12 = -5*m + d. Let s be m + (-4)/((-12)/3). Which is smaller: s or -3?
-3
Let h = -788.09 - -788. Which is bigger: -0.15 or h?
h
Let b = 25.55 - 25.5. Which is smaller: -2/13 or b?
-2/13
Let n = -2850 + 2848. Let s be 3*6*(-8)/(-9). Which is bigger: n or s?
s
Let i be 26/(0 + 2 + 0). Let g = i - 8. Suppose 8*b = 4*b - 2*o - 8, -20 = g*o. Is b >= 1/10?
False
Let p = -217.31 + 217.3. Which is greater: p or -22?
p
Let y = 43 - 45. Let c be ((-6)/y - 8)*(-20)/25. Which is greater: 14/3 or c?
14/3
Let q = 1.05 + -86.05. Let f = q - -84.8. Is -1.2 at most as big as f?
True
Let u(f) = -3*f**3 - 10*f**2 + 8*f - 17. Let h be u(-6). Does h = 221?
False
Let z = -21/17 - -749/510. Which is smaller: 0 or z?
0
Let f = 251 - 239. Let x = 0.01 + -0.11. Which is greater: f or x?
f
Suppose 56*u - 27*u - 116 = 0. Let z(c) = c**2 - c - 4. Let n be z(3). Which is bigger: n or u?
u
Let c(b) be the first derivative of -b**4/4 - 5*b**3/3 + 9*b**2/2 + 7*b + 11. Let r be c(-6). Are r and -11 equal?
True
Let | {
"pile_set_name": "DM Mathematics"
} |
-465*b
Let h(m) = 4*m**2 - 2*m - 6220. Let v(o) = 20*o. Give h(v(r)).
1600*r**2 - 40*r - 6220
Let g(z) = -z. Let x(b) = b. Let t(j) = -g(j) - 2*x(j). Let s(r) be the first derivative of -23*r**3/3 + r**2/2 + 4518. Determine t(s(c)).
23*c**2 - c
Let d(y) = -3940*y. Let g(r) = -26*r**2 + 18*r - 30. Let n(v) = 4*v**2 - 3*v + 5. Let z(h) = g(h) + 6*n(h). Give z(d(a)).
-31047200*a**2
Let z(i) = -21*i. Let n(a) = -2*a**2 + 204615. Calculate n(z(t)).
-882*t**2 + 204615
Let n(d) = 6*d - 3112. Let g(x) = -541*x**2. Determine n(g(f)).
-3246*f**2 - 3112
Let h(w) = -w. Let o(z) = -3255052*z. What is h(o(g))?
3255052*g
Let y(o) = -217*o + 918*o + 124*o. Let v(x) = -4*x. Determine y(v(c)).
-3300*c
Let u(t) = -t**2 - 192638. Let f(y) = 9*y**2. Give u(f(n)).
-81*n**4 - 192638
Let b(w) = w. Let d be 1/6 - 964/24. Let f be -3 + d/15*-3. Let x(c) = f*c + 2*c + 2*c. Determine b(x(y)).
9*y
Let m(x) be the first derivative of -10*x**3/3 + 2*x**2 + 3384. Let h(t) = 4*t**2. Calculate h(m(g)).
400*g**4 - 320*g**3 + 64*g**2
Let k(a) = 20173435*a. Let h(s) = -2*s. What is k(h(d))?
-40346870*d
Let l(p) = 2*p**2 + 278*p. Let x(i) = 12055*i - 7. Calculate x(l(a)).
24110*a**2 + 3351290*a - 7
Let h(x) be the third derivative of -7*x**4/2 + 76*x**2 + 4*x. Let n(z) = 27*z**2. What is n(h(p))?
190512*p**2
Let m(r) = -2*r**2. Let c(h) = -399*h**2 - 48. Let b(v) = -5585*v**2 - 660. Let d(z) = 4*b(z) - 55*c(z). Determine m(d(o)).
-312050*o**4
Let y(a) = 32*a**2. Let k(g) = -70*g**2 + 52061. Give k(y(i)).
-71680*i**4 + 52061
Let t(s) = 1028*s - 1. Let h(z) = 3409*z. Determine t(h(m)).
3504452*m - 1
Let y(p) = 45*p - 140*p + 83*p. Let v(x) be the first derivative of -x**3/3 + 11. What is v(y(o))?
-144*o**2
Let n(v) = 15*v. Suppose y - 9 = 228*c - 225*c, -c - 14 = -4*y. Let z(h) be the second derivative of 0*h**y + 0 - 4*h + 0*h**2 + 1/6*h**4. Give z(n(t)).
450*t**2
Let v(y) be the third derivative of 19*y**5/10 - 134*y**2. Let q(o) = 6*o**2. Give q(v(m)).
77976*m**4
Let b(a) = -534474*a**2. Let x(f) = 21*f. Calculate b(x(u)).
-235703034*u**2
Let b(v) = -5*v + 22. Let r(k) = -10897*k + 1. Calculate b(r(m)).
54485*m + 17
Let l(c) = 8*c. Suppose -32*v = 9*v - 82. Let p(g) = -69*g**2 - 7 + 123*g**2 + 7 - 68*g**v. Determine l(p(r)).
-112*r**2
Let z(p) = 11*p**2 + 143*p + 8. Let h(f) = 5*f**2 + 66*f + 4. Let l(i) = -13*h(i) + 6*z(i). Let w(j) = -2*j. Determine w(l(a)).
-2*a**2 + 8
Let o(j) = j - 8. Let l(a) be the first derivative of 36*a**2 + 1943. Give o(l(r)).
72*r - 8
Let c(s) = -s. Let a(w) = 8408017*w. Calculate c(a(d)).
-8408017*d
Let g(o) = -2*o**2. Let h(y) = -3. Suppose f = 3*f - m + 1371, 0 = 2*f + 3*m + 1367. Let v(x) = 137*x - 2055. Let j(d) = f*h(d) + v(d). Calculate g(j(t)).
-37538*t**2
Let t(l) = -99 - 2246*l**2 + 2248*l**2 + 99. Let h(n) = -5*n**2 + 18*n**2 + 9*n**2. Give h(t(g)).
88*g**4
Let v(t) = 14018095*t**2. Let f(o) = 2*o. Give f(v(c)).
28036190*c**2
Let y(s) = -s**2. Let c(n) = 43*n + 14. Let h be c(6). Let x be (6/(-4))/(2*(-4)/h). Let i(o) = -53*o**2 - x*o**2 + 105*o**2. Determine i(y(a)).
a**4
Let h(n) = n**2. Let b(g) = -9 - 655*g + 47 + 659*g. Give h(b(u)).
16*u**2 + 304*u + 1444
Let q(h) = -29*h - 21. Let z(t) = -12*t - 9. Let g(i) = -3*q(i) + 7*z(i). Let a(k) = 2*k + 5. Let u(b) = 1. Let n(x) = a(x) - 5*u(x). What is g(n(o))?
6*o
Let h(n) = 8*n**2 + 8*n + 1. Let j(d) = -110*d. Give j(h(x)).
-880*x**2 - 880*x - 110
Let o(h) = -2175*h. Let u(j) = 5*j + 60. Calculate o(u(w)).
-10875*w - 130500
Let q(f) = -392*f**2. Let r(z) = 123303*z**2 - 61655*z**2 - 61653*z**2. What is q(r(c))?
-9800*c**4
Let c(a) = 2442387*a**2. Let n(l) = -13*l**2. What is n(c(k))?
-77548305350997*k**4
Let x(g) = 3*g**2 + 1118927 - 2237872 + 1118924. Let j(a) be the first derivative of a**3/3 - 1. Give x(j(u)).
3*u**4 - 21
Let t(f) = 2464*f + 2452*f - 4227*f. Let b(v) = 2*v. Give t(b(c)).
1378*c
Let d(m) = 906*m. Let j(k) be the third derivative of -5*k**4/24 - 9239*k**2. What is d(j(t))?
-4530*t
Let c(g) = -7*g. Let q(m) = -51890*m. Calculate c(q(b)).
363230*b
Let i(v) = -80162*v - 22648. Let x(j) = 1479*j + 418. Let r(w) = 11*i(w) + 596*x(w). Let h(y) = -13*y. Calculate h(r(z)).
3874*z
Let s(j) = -38*j. Let w(l) = 1553059*l**2. What is w(s(q))?
2242617196*q**2
Let c(p) = 85*p**2. Suppose -25*s - 4*x = -24*s - 58, 3*x = -3*s + 165. Let q(a) = -s*a + 33*a + 23*a. Determine c(q(n)).
340*n**2
Suppose 6*m = 7*m - 29. Let t(j) = -m*j + 68*j - 41*j. Let g(u) = 7*u. What is g(t(c))?
-14*c
Let s(l) = 4*l - 3. Let j(h) be the third derivative of 11*h**4/12 + 566*h**2. What is s(j(a))?
88*a - 3
Let x(r) = -2*r**2 + 24*r. Let a(n) = -106*n + 2. Let y(g) = -3960*g + 75. Let h(j) = -150*a(j) + 4*y(j). What is x(h(c))?
-7200*c**2 + 1440*c
Let y(n) = -40*n**2 + 42. Let a(z) = -6955*z. Determine y(a(l)).
-1934881000*l**2 + 42
Let c(o) = 2*o. Let b(j) = j - 6. Suppose -6*s - 4 = -10*s. Let q(p) = 1. Let i(h) = s*b(h) - 5*q(h). Let l(v) = 2. Let k(n) = -2*i(n) - 11*l(n). Give c(k(y)).
-4*y
Let v(t) = -28*t**2 + 42*t**2 + 79*t - 79*t - 17*t**2. Let h(j) = j**2 - 13*j + 15. Let s be h(12). Let r(b) = -s + 30*b - 1 + 4. What is v(r(c))?
-2700*c**2
Let m(i) = 6*i + 6. Let y(q) = -2*q**2 + 2*q + 23394. What is y(m(t))?
-72*t**2 - 132*t + 23334
Let t(s) = -6377*s**2. Let k(c) = -12*c + 12. What is k(t(v))?
76524*v**2 + 12
Let f(n) = -6*n**2. Let x be ((-324)/(-72))/(2/72). Let c(w) = -81*w - 81*w - 14*w**2 + x*w. Determine c(f(r)).
-504*r**4
Let t(j) = -j**3 - 14*j**2 - 11*j + 28. Let w be t(-13). Let z(u) = -5*u**w + 24*u**2 - 17*u**2. Let n(y) = 2*y**2 + 58*y. What is n(z(p))?
8*p**4 + 116*p**2
Let f(q) = -9*q. Let b(k) = 2 - 2 - 1. Let u be 6/(-12) - (-2)/(-4). Let l(i) = 3*i - 1. Let m(y) = u*b(y) + l(y). Calculate m(f(r)).
-27*r
Let k(a) = 2*a. Let s(z) be the second derivative of 137*z**3/6 - 34*z + 12. Calculate s(k(l)).
274*l
Let d(x) = -7*x - 1. Let j(p) = 6125*p + 1375. Let f(v) = -2750*d(v) - 2*j(v). Let z(u) = u. Give z(f(n)).
7000*n
Let m(s) = s - s - 2*s**2. Let l(z) = -3*z + 10. Let n(g) = -2. Suppose 9*o - 17*o - 40 = 0. Let r(v) = o*n(v) - l(v). Determine m(r(f)).
-18*f**2
Let z(p) = -p**2. Suppose -2*m - 3 = -7. Let o = -889 + 909. Let i(q) = -2*q**2 - o*q**m + 3*q**2. Calculate z(i(y)).
-361*y**4
Let t(k) = -2*k - 7. Suppose -15 = -5*g + v - 0, 4*g = 2*v + 18. Let j(u) = -1114*u + 0*u**g + 1114*u - u**2. What is j(t(w))?
-4*w**2 - 28*w - 49
Let f(z) = 5*z. Let i(k) = -65*k. Let c(r) = 40*f(r) + 3*i(r). Let o(j) = 112*j - 19. Let h(y) = -68*y + 11. Let b(q) = -5*h(q) - 3*o(q). Determine c(b(w)).
20*w + 10
Let g(a) be the first derivative of -19*a**4/12 - 19*a + 200. Let f(p) be the first derivative of g(p). Let z(h) = -7*h. Determine z(f(t)).
133*t**2
Let d(a) be the third derivative of -7*a**5/10 + 1491*a**2 - 1. Let f(q) = 34*q + 2. Calculate d(f(g)).
-48552*g**2 - 5712*g - 168
Let i(b) = 1416*b**2. Let s(d) = -148*d - 7 + 7 + 292*d - 145*d. Calculate i(s(f)).
1416*f**2
Let m(x) = -x**2 + 29959596*x. Let o(k) = -k. Determine o(m(c)).
c**2 - 29959596*c
Let k(w) = 2*w. Let v = -14 + 17. Suppose 3*t + v = -5*m - 7, 5 = 3*t + 2*m. Let y(r) = 20*r - 20*r - 4*r**2 - t*r**2. Give y(k(a)).
-36*a**2
Let j(b) be the third derivative of 211*b**4/24 - b**3/3 - 69*b**2 + 45*b. Let f(u) = 2*u**2. Give f(j(s)).
89042*s**2 - 1688*s + 8
Let x(k) = 2*k - 11. Let q(y) = 153*y - 5. Let h(d) = -66*d + 2. Let v(n) = 5*h(n) + 2*q(n). What is v(x(j))?
-48*j + 264
Let a(c) = 1033*c**2. Let x(i) = -1241*i**2. Give x(a(y)).
-1324257449*y**4
Let v(x) = -59*x**2. Let s(q) = -9*q + 178*q**2 - 198*q**2 + 9*q. Give v(s(h)).
-23600*h**4
Let s(a) = 2*a**2 - 3*a. Let m(w) be the third derivative of 1/8*w**4 + 0*w**3 - 2*w + 0 + 71*w**2. Give s(m(b)).
18*b**2 - 9*b
Let x(y) = -60*y**2. Let r(k) be the first derivative of -6*k**3 + 841. What is r(x(p))?
-64800*p**4
Let d(g) = -155*g + 468*g - 165*g - 165*g. Let b(c) = 91*c. What is b(d(w))?
-1547*w
Let c(n) = -2*n + 888. Let v(p) = -421*p**2 + 10*p - 1. What is c(v(x))?
842*x**2 - 20*x + 890
Let u(y) = -14*y + 1 - 2 + 3 - y. Let j = -16 - -22. Let t(n) = 8*n - 6. Let x(r) = -17*r + 13. Let s(v) = j*x(v) + 13*t(v). Determine s(u(i)).
-30*i + 4
Let i(q) be the second derivative of q**3/3 - 24861*q. Let f(b) be the second derivative of -23*b**3/6 - 2*b. Determine i(f(g)).
-4 | {
"pile_set_name": "DM Mathematics"
} |
-9
16 + 5 + -2 + -9 + -8
2
What is 0 - ((-6 - (-3 + 9 + -6)) + -6)?
12
Evaluate 3 + 3 + 0 + (-15 - -8 - -12).
11
Evaluate -2 + (-29 - -22 - (0 + 0 - -4)).
-13
Calculate (0 - -2) + -48 + 34.
-12
Calculate 0 + 16 + -8 - (21 + -1).
-12
Calculate 88 + -87 + 6 + 1.
8
Calculate 2 - ((-5 - (-9 - -13)) + -10).
21
Evaluate -5 + -12 + 9 - -15.
7
Calculate 0 + 19 - (-8 + 30 + -19) - -3.
19
Calculate 13 + (34 - 46) + 1.
2
What is 17 - 12 - (-18 - -2)?
21
Evaluate 64 + (86 - 125) - (16 - 0).
9
What is (29 - 65) + -36 + 44?
-28
Evaluate (-4 - (29 + -23 + 1 + -6)) + 15.
10
Evaluate -8 + (11 - 5 - 6).
-8
What is the value of 1 + 3 - (6 - (-3 - -11))?
6
3 + -7 - (-6 - (-10 - -8)) - 6
-6
What is the value of 10 + -1 - (2 - -11) - -12?
8
Calculate (-9 - -11 - 9) + -3 + 5 + -2.
-7
Evaluate 20 + -14 + (4 - 1 - -20).
29
Evaluate -4 + (6 - 3) + -8 + 4 + -12.
-17
Evaluate (235 - 276) + (-3 - -14).
-30
Evaluate 8 + -12 - (-4 + -4).
4
What is 497 - 517 - (-6 + (3 - 2 - 1))?
-14
Calculate (-13 - -2) + -19 + -5 + 17 - 10.
-28
What is -1 - (8 + (4 - (10 + 1)) + 1)?
-3
Evaluate -12 - (-19 + 8 + -5).
4
Evaluate -22 + (17 - (-6 + -18)).
19
Calculate (14 - (-7 + (4 - 16) + 24)) + -22.
-13
What is -27 + -21 + (54 - 9)?
-3
What is the value of (-5 - -3) + 6 + (-2 - 6) + 9?
5
Calculate (-3 - (0 - 0)) + 15.
12
What is 2 + -1 + 148 + -172 - (6 - -1)?
-30
What is 0 + 0 - ((21 - 24) + 4)?
-1
-2 - 2 - (7 - (2 + (5 - 13)))
-17
What is -7 + 4 + 2 + 1 - (-4 - 7)?
11
Calculate 1 + (-39 - -17) - -10.
-11
Calculate (15 - 3 - -3) + -6 + 2 + -2.
9
4 - (30 + (-14 - -9) + 3 + -3)
-21
-1 - 2 - (3 + 3 + 13 + -11)
-11
Evaluate 8 + -12 + 2 + 8 + 0.
6
Calculate 0 - (-5 + 11) - 1 - -1.
-6
What is the value of 1 - (144 + -142 + 1 + 7)?
-9
What is the value of (2 - -11 - 12) + 6?
7
Calculate (8 - 15) + -2 + (-4 - -1).
-12
Evaluate -13 - (-1 - 3 - (455 - 476)).
-30
4 - (-1 - -7) - (-11 - -13)
-4
Evaluate (9 - 6 - -5 - 3) + 0.
5
Calculate (31 - (19 - -31)) + 0 + -1 + 7.
-13
Evaluate -30 + (-1 + 25 - -2).
-4
Evaluate -19 + -10 + 30 + 0 + 1 + -11.
-9
What is -23 - 0 - ((27 - (11 - -3)) + -10)?
-26
Evaluate -2 + 1 + 0 + 0 - (86 + -78).
-9
What is the value of 14 + 1 + (26 - 28)?
13
-10 + 1 - (-16 - -36 - 16)
-13
Evaluate -34 + 22 + (-22 - -33).
-1
Evaluate -23 + 34 - (1 - -9).
1
What is 23 - 8 - 18 - -4?
1
Calculate (-2 - 3) + -26 + 40.
9
Evaluate 2 - (-6 - ((4 - (-1 - -16)) + 5)).
2
Calculate (-4 - 4) + (14 - 17).
-11
Calculate -1 + 1 - ((-17 - 12) + 23).
6
(-4 + (-4 - 1) - (-43 + 28)) + -9
-3
What is (7 - -1) + -6 + 3 + (67 - 60)?
12
What is (1 - -5) + -3 + -16 + 13?
0
What is the value of -9 + (23 + 10 - (-2 + 6))?
20
Calculate -9 - (-34 - 0 - (0 + 5 + -13)).
17
-13 + 33 - (23 - 8)
5
Evaluate -9 - -29 - (-2 - (-12 + 15)).
25
Evaluate (-1 - 5) + 7 - (11 - 15).
5
6 + 0 + -3 + 3 + (4 - 10)
0
Calculate -3 + -3 + (1 - -7).
2
What is -21 - ((5 + -26 - -14) + 7 + 0)?
-21
What is the value of (11 - (-3 + 3)) + (-118 - -116)?
9
Evaluate 9 + 3 + -11 + (-1 - -1) - 5.
-4
Evaluate -7 + 1 - (-83 + 46 - -31).
0
Calculate 9 + -16 - (-5 + 14 - -17).
-33
What is (-66 - -86) + (-21 - -1)?
0
Calculate 0 - (-3 - (-19 + 33)).
17
What is the value of 6 + 18 + -27 + (2 - -2)?
1
-29 - -2 - (162 - 176)
-13
What is the value of -5 - (13 - (5 - 5))?
-18
What is 112 + -110 - (1 + -2 + (-3 - -1))?
5
Calculate (3 + -7 - 4 - -23) + -1 + 1.
15
Evaluate 4 + (-23 - -22) - (21 - 0).
-18
2 + (8 + -9 - -1) - (-3 - 3)
8
What is (3 - -1) + 5 + 7 + -10 + -12?
-6
Evaluate 59 - (73 + -27) - 3.
10
What is -6 + -1 - ((22 - 9) + (3 - -2))?
-25
-9 + 2 + 10 + -14
-11
What is -17 + 2 + (-14 - (13 - 35))?
-7
Evaluate -1 + -6 + -6 + 6 + 5 + 4.
2
What is the value of -16 - (-8 - (-15 + -1 + 55))?
31
Calculate 36 - (17 + 22) - (-3 - 1 - 1).
2
Evaluate 14 - 12 - (15 - 28).
15
What is the value of 11 + (51 - 55) + (-2 + 0 - -9)?
14
Calculate (0 - -3) + (15 - 12) - 22.
-16
What is 3 - -1 - (-31 + 21 + 15)?
-1
Calculate -18 - 4 - (83 - 104).
-1
Calculate -7 + -19 + (72 - 24).
22
What is the value of (16 - 11) + 17 + -11 - (-4 - 1)?
16
Evaluate 16 + (-17 - -17) - 3.
13
What is the value of 124 + -126 + (-14 - 1)?
-17
What is 6 - 3 - (-5 + 27) - -11?
-8
Evaluate -724 + 732 - (3 - (11 + 0) - 2).
18
Calculate -8 + (152 - 132) + (1 - 0 - 4).
9
What is the value of (2 - (9 - 4)) + 4?
1
What is the value of -1 + 7 + (-143 - -135) - 4?
-6
What is the value of (4 - (-14 + 2)) + -4 + -2 + -25?
-15
What is -4 - ((7 - 6) + -9) - 8?
-4
Evaluate (3 - 2) + (12 - (-10 - (-12 - 6))).
5
What is the value of (12 - 3 - 6) + -9?
-6
Calculate -7 + 0 + (-23 - -9 - -17) + -18.
-22
What is the value of -8 + 14 + -6 + 0 + -2 + 1?
-1
Evaluate 8 + (26 + -39 - (-1 - -1)) + -8.
-13
What is the value of 695 - 718 - (-1 + -15)?
-7
Evaluate 7 + -2 + (31 + -19 - 18) + 20.
19
Evaluate 2 - 4 - (28 + -26) - -26.
22
-57 + -34 + 66 - 4
-29
Evaluate -17 + 12 - (-4 + 1 + -9) - 2.
5
What is the value of -2 + 25 + (236 - 259)?
0
-3 + -70 + 21 - -28
-24
Evaluate (-10 - (-13 + 8)) + (13 - -5).
13
Evaluate (2 - 0) + 7 + -20 + 18.
7
What is -13 - -1 - (8 + -4 - 18)?
2
What is -1 - 0 - (-5 - (6 - 3) - 0)?
7
What is 0 + 20 + (-18 - (29 + -49))?
22
What is 46 - 57 - (-20 - 0)?
9
What is the value of -19 + 4 + -12 + -6 + 10?
-23
What is (18 - 18) + -21 - -15?
-6
What is the value of -5 - (1 - 8) - (3 - -4 - -3)?
-8
What is the value of (-8 - (-13 + 20 + -9)) + -4?
-10
What is (-6 + 10 - 14 - 4) + 8 + -4?
-10
1 + 15 + 0 + 32 + -28 + 6
26
Evaluate 7 + (-8 - (35 + -9 - 7)) - 0.
-20
Calculate 86 + -83 + (4 + 4 + 1 - -1).
13
What is the value of 5 + -19 + 22 + -25 - -23?
6
What is the value of -1 - (10 + (1 - (9 - 2)) - 2)?
-3
Evaluate (4 - -2 - (-1 + (1 - 4))) + 13.
23
Calculate (-5 - (6 + -11)) + (-28 - (15 - 17)).
-26
20 + 17 + -27 + 5
15
Evaluate 15 + (4 + -12 + (18 - 6) - 4).
15
What is -1 - (12 + -13 + (-9 - 27))?
36
What is the value of 5 + (30 - 15) + (3 - 3 - 8)?
12
What is -101 + 35 + 52 - (0 - 0)?
-14
What is the value of 2 - ((7 - -11 - 18) + 3 + 2)?
-3
What is the value of -14 + 2 + -32 + -2 + 46?
0
Calculate -1 - -8 - (0 + -10 + 20).
-3
6 + (8 - 4) + 1 - -3
14
What is 0 - -26 - (-478 - -502)?
2
Evaluate (5 - -4 - (3 - -16)) + 2.
-8
What is the value of -24 + (-8 - 2) + -9 + 25?
-18
-9 + (-9 - (15 + -37))
4
4 + -22 - -45 - (12 - (8 + -4))
19
What is 16 + (1 - 8) + -18 + -3?
-12
Evaluate (22 - (17 - 0)) + 2 + 5.
12
What is the value of (0 - 10) + -7 + -7?
-24
Calculate (-5 - -3) + -2 - (-3 - (11 + -24)).
-14
What is the value of 22 + (8 - 9) + -9 + 2?
14
What is the value of 735 + -716 - (36 - -1)?
-18
Calculate (3 - 1 - 3 - (2 - 1)) + -4.
-6
What is the value of (32 - (8 + 36)) + (1 - 0)?
-11
What is the value of 11 - (-3 - -15) - -13 - -3?
15
Calculate 153 + -148 + 1 + -6.
0
What is (150 - 138) + (-3 - 11)?
-2
20 + (-15 - 16) - (0 - -5)
-16
(-19 + 21 - -1 - -7) + 26
36
-4 - (0 + (6 - 2) + (-10 - -16))
-14
-2 - (-2 - -7) - -8 - (-1 + -6)
8
Evaluate 25 - (10 - (20 - (-3 - (-12 + 1)))).
27
What is 21 + (5 + -11 - -8 - 5)?
18
7 + -85 + 85 + -4 + (-2 - 2)
-1
What is -2 + (15 + (-32 - -11) - (2 + -10))?
0
Calculate -60 - (27 - 18 - 45).
-24
What is (-5 - 1) + -4 + 4 + 3 + 4?
1
Evaluate -12 - ((10 - 5) + -4).
-13
3 + (-7 + 9 - (1 - -6))
-2
Evaluate -12 - (-86 + 44 + 42).
-12
Evaluate (26 - -14) + 5 + -34.
11
Evaluate (-19 - (-31 - -15)) + (0 - -4).
1
(-3 - (15 + -7)) + -19 + 8
-22
4 + -10 + -6 + (-6 - -5) + -2
-15
Evaluate (3 - 19) + 37 + -14.
7
Evaluate -18 - 1 - (352 + -342).
-29
Calculate (-2 - (-15 - -4)) + 2.
11
Evaluate -2 + 23 + (253 - 254).
20
What is (14 - 3) + -244 + 235?
2
Calculate (19 - 23 - 9) + 22.
9
Calculate -3 - (-43 + -35 + 65).
10
(-4 - (1 - 3)) + 6 + -12 + -2
-10
-13 - -7 - 10 - -30
14
Calculate (156 - 150) + (-17 - -1).
-10
What is -4 + -25 - (73 + -96)?
-6
Calculate -15 - (-6 - 11 - -10 - 5).
-3
What is the value of 10 + (22 - 23) + -4 + 8?
13
Calculate 3 + (13 - (-29 + 51)) + (-1 - -12).
5
(6 - (-11 - (2 - 37)) - 2) + -9
-29
What is the value of -1 + -3 + 2 + -9 - -4 - 5?
-12
What is 7 - (-2 - (-1 + (8 - 6))) - -2?
12
Evaluate (-2 - 2) + (-15 + -28 - -31).
-16
Evaluate -52 + 58 - ((10 - -3) + (-2 - 0)).
-5
What is (-56 - -57) + 3 + 1 + (-12 - 0)?
-7
What is -1 - ((-5 - -4) + (0 - -4) + -6)?
2
Evaluate 3 + (-42 - -47) - 21.
-13
(3 - -13) + (-38 - -2)
-20
What is -42 - -2 - (-860 | {
"pile_set_name": "DM Mathematics"
} |
tive of -s**5/10 + 7*s**4/4 - 22*s**3/3 - 55*s**2/2 + 525*s/2 + 1092. Find n such that d(n) = 0.
-3, 5, 7
Let -4/7*u**4 + 32/7*u**3 - 200/7*u + 0 - 20/7*u**2 = 0. What is u?
-2, 0, 5
Let s(i) be the first derivative of 4*i**6/3 - 622*i**5/5 - 519*i**4 - 2416*i**3/3 - 566*i**2 - 162*i + 570. Find b such that s(b) = 0.
-1, -1/4, 81
Suppose 81 = 15*i + 12*i. Find k such that -91*k**2 - 8*k**i + 24*k**2 + 33*k**2 + 22*k**2 + 4*k**4 = 0.
-1, 0, 3
Let k(i) be the second derivative of i**6/6 - 37*i**5/2 + 365*i**4/12 - 1095*i. Let k(j) = 0. Calculate j.
0, 1, 73
Suppose -4*b + 67 + 13 = 0. Suppose 8*z = 13*z - b. Solve j**4 - 25*j**3 - 4*j**4 + j**4 - z*j**2 + 31*j**3 = 0.
0, 1, 2
Suppose -5*r - 171 = -4*j, 23*r - 21*r = -j + 33. Suppose u - 39 = -j. Find b such that 9/2*b + u + 1/2*b**2 = 0.
-9, 0
Let a(l) be the first derivative of 1/10*l**4 - 2/5*l**3 - 2/5*l - 137 + 3/5*l**2. Factor a(d).
2*(d - 1)**3/5
Let o be (-2)/12 - ((-20)/((-480)/(-924)) - -38). Factor -o*w**2 - 8 - 14/3*w.
-(w + 2)*(w + 12)/3
Let -6*g**3 + 0*g**3 + 7*g**3 + 15*g**2 - 39*g + 23*g - 38*g = 0. Calculate g.
-18, 0, 3
Let z be -1*(-1)/((-2)/(-22)). Let p(h) = 5 - 4 - 4*h + 14*h - z*h. Let l(v) = -v**2 - v + 2. Let w(i) = l(i) - 2*p(i). Factor w(g).
-g*(g - 1)
Let i be 3/(-3) + (-47 - -3). Let p = -44 - i. Factor -16*y + 28*y - 5 - 18*y**2 - 3*y**3 + 3*y**4 + 30 - p.
3*(y - 2)**2*(y + 1)*(y + 2)
Let u be 36*12/54 - 10 - (-84)/33. Factor -u - 2/11*g**2 + 8/11*g.
-2*(g - 3)*(g - 1)/11
Let m = 1331645/6 - 222829. Let x = -888 - m. Factor -13/6*a**2 - 6 - x*a**4 + 5/3*a**3 - 10*a.
-(a - 6)**2*(a + 1)**2/6
Factor 28 + 1/2*r**4 - 13/2*r**3 - 46*r + 27*r**2.
(r - 7)*(r - 2)**3/2
Let a be 91/21 - 44/33. Let w(i) be the second derivative of 0 - 5/48*i**4 + 0*i**2 + 1/12*i**3 + 1/80*i**5 + 1/24*i**6 + a*i - 1/56*i**7. Solve w(y) = 0.
-1, 0, 2/3, 1
Let 1/10*k**4 + 144/5*k**2 - 64 - 152/5*k - 47/10*k**3 = 0. What is k?
-1, 4, 40
Let b(p) = -2*p**2 + 4*p + 6. Let d be b(3). Suppose d = 3*r - 19 - 5. Factor r*u**2 - 6*u**2 - u - 5*u.
2*u*(u - 3)
Let s(c) be the second derivative of 115*c**4/12 + 20*c**3 + 5*c**2/2 - 196*c + 4. Factor s(j).
5*(j + 1)*(23*j + 1)
Solve -2*w**5 + 29*w**2 + 56*w**3 + 42*w - 52*w**2 - 69*w**2 - 4*w**4 + 0*w**5 = 0 for w.
-7, 0, 1, 3
Let r(k) be the first derivative of -44/5*k**2 - 484/5*k - 4/15*k**3 - 7. Factor r(u).
-4*(u + 11)**2/5
Let x(w) be the third derivative of -15*w**2 - 9/140*w**5 + 0*w + 0*w**6 + 6/7*w**3 + 1/490*w**7 + 0 + 1/14*w**4. Factor x(a).
3*(a - 2)**2*(a + 1)*(a + 3)/7
Let p = 110737/5 + -331931/15. Let 200 - 88*s**3 + 140/3*s - 4/3*s**5 - 416/3*s**2 - p*s**4 = 0. Calculate s.
-5, -3, -2, 1
Let k = -5037458/7 + 719650. Solve 16*u + 32/7*u**3 - k*u**2 - 48/7 - 4/7*u**4 = 0 for u.
1, 2, 3
Let k = -653659/140 + 4669. Let v(a) be the third derivative of -1/280*a**6 - 1/168*a**4 + 0*a**3 - 1/1470*a**7 + 0*a - k*a**5 + 0 + 4*a**2. Factor v(i).
-i*(i + 1)**3/7
Let b be 1/3*(17 - 17). Let n(r) be the third derivative of 8*r**2 - 1/60*r**6 + 0*r**5 + b + 0*r**3 - 2/315*r**7 + 0*r + 1/36*r**4. Factor n(x).
-2*x*(x + 1)**2*(2*x - 1)/3
Let l(k) be the first derivative of 2*k**3/3 + 7*k**2 - 36*k + 1228. Factor l(u).
2*(u - 2)*(u + 9)
Let v = 9165/12308 + 33/6154. Suppose 33/4*n + 0 + v*n**2 = 0. Calculate n.
-11, 0
Let y be (-4)/(-10) + (-638)/(-55). Suppose y*k - 27 = 9. Factor 3*f**3 + 0*f**2 - 4*f**2 - 11*f - 6*f**k + 4*f**3 - 6.
(f - 6)*(f + 1)**2
Suppose 218 - 208 = 5*w. Let r(z) be the third derivative of 1/42*z**7 + 2*z**5 + 0 + 20/3*z**4 + 0*z + 6*z**w + 40/3*z**3 + 1/3*z**6. Factor r(x).
5*(x + 2)**4
Let a(j) be the second derivative of -j**4/6 - 614*j**3/3 + 10879*j. Suppose a(f) = 0. Calculate f.
-614, 0
Suppose 6531 = -16*z + 20627. Let w = z - 881. Factor 0 + 0*q - 5/2*q**5 + w*q**2 - 5*q**4 - 5/2*q**3.
-5*q**3*(q + 1)**2/2
Let n = -227499 + 227507. Solve -8/9*o**2 + 290/9*o - n = 0 for o.
1/4, 36
Let y(h) = -46*h**2 + 301*h - 440. Let r(o) = -174*o**2 + 1203*o - 1758. Let t(g) = 4*r(g) - 15*y(g). Let t(s) = 0. Calculate s.
3/2, 48
Factor -1189/2*m - 1413721/4 - 1/4*m**2.
-(m + 1189)**2/4
Let v(x) be the second derivative of -x**4/3 - 232*x**3/3 + 1210*x**2 + 10587*x. Solve v(h) = 0 for h.
-121, 5
Suppose 803 = 5*c - 1032. Factor 12 - 114*p**2 - 118*p**2 - 121*p**2 + 22*p + c*p**2 + 64*p.
2*(p + 6)*(7*p + 1)
Let c(g) be the first derivative of g**5/35 - g**4/28 - 19*g**3/7 + 145*g**2/14 + 200*g/7 - 1992. Factor c(l).
(l - 5)**2*(l + 1)*(l + 8)/7
Let x(v) be the first derivative of v**3/3 + 67*v**2 - 411*v - 525. Determine a so that x(a) = 0.
-137, 3
Let u(f) be the third derivative of f**7/105 + 2*f**6/15 + 2*f**5/3 + 4*f**4/3 - 2248*f**2. Factor u(d).
2*d*(d + 2)**2*(d + 4)
Let j = -188943/56 - -3374. Let v(f) be the third derivative of 14*f**2 + 0*f**3 - j*f**4 + 1/280*f**6 + 0 + 0*f + 0*f**5. Suppose v(o) = 0. Calculate o.
-1, 0, 1
Suppose -5*o = 148*j - 145*j - 40, 4*o - 32 = -2*j. Let m be (-1)/2 - 25/(-10). Factor j*p + 2/5*p**m - 2/5.
2*(p - 1)*(p + 1)/5
Let u(p) be the third derivative of p**8/20160 - p**7/1260 - p**6/60 - 13*p**5/30 + 2*p**2 + 8. Let t(v) be the third derivative of u(v). Factor t(o).
(o - 6)*(o + 2)
Find j such that -7/9*j + 0 - 5/9*j**3 - 13/9*j**2 + 1/9*j**4 = 0.
-1, 0, 7
Let g(m) be the first derivative of -3*m**3 + 33*m**2/2 - 24*m + 1844. Let g(n) = 0. Calculate n.
1, 8/3
Let v(r) = -r**2 - 75*r - 4. Let b(s) = -75*s - 3. Suppose -2*p - 11*h = -14*h + 9, -5*h + 16 = -3*p. Let l(u) = p*v(u) - 4*b(u). Find o such that l(o) = 0.
0, 25
Let o**2 + 204*o - 3*o**2 - 2*o**2 - 86*o + 5*o**2 + 3481 = 0. What is o?
-59
Suppose 7 - 47 = -4*w. Suppose -21*y - 65 = -128. Suppose -10*b**2 - 5*b + 8*b**5 - y*b**5 + 20*b**4 - w*b**4 = 0. Calculate b.
-1, 0, 1
Suppose -8*q + 25 = -3*q. Suppose -2*c - 9 = -q*c. Solve -8*s**2 - 58*s**3 + 38*s**c + 0*s**2 = 0.
-2/5, 0
Factor 40/3*s + 2/3*s**2 - 14.
2*(s - 1)*(s + 21)/3
Let t = 527/4 - 2323/20. Let b = 16 - t. Solve 2/5*y**2 + 4/5*y + b = 0 for y.
-1
Factor -26/3*d + 5/3*d**2 + 5/3.
(d - 5)*(5*d - 1)/3
Let i(y) be the first derivative of -y**3/3 - 773*y**2 - 597529*y - 7739. Factor i(j).
-(j + 773)**2
Let v = -3311 - -3326. Let w(k) be the third derivative of 0*k + 0*k**3 + 1/12*k**6 - 1/12*k**5 + 0 + 1/42*k**7 + v*k**2 - 5/12*k**4. Factor w(j).
5*j*(j - 1)*(j + 1)*(j + 2)
Let f(a) = -6*a**3 + 15*a**2 + 22*a + 5. Let z be (6 + -4)/(2 + (-8)/5). Let k(j) = -7*j**3 + 15*j**2 + 21*j + 4. Let m(q) = z*f(q) - 4*k(q). Solve m(b) = 0.
-1, -1/2, 9
Let f be 1424/216 + 122/1647. Solve 2/9*v**2 + f*v - 62/9 = 0 for v.
-31, 1
Suppose 12 = -3*w + 21. Suppose 3*u + 4*o + 2 = 0, w*o + o = u - 10. Solve 6*m**u + 4 - 52*m + 87*m**2 + 40*m**2 + 36*m**2 = 0 for m.
2/13
Find j such that 322*j + 32*j**3 - 1028*j - 4 - 133*j**3 + 1424*j**2 - 613*j**3 = 0.
-2/357, 1
Let v(i) be the second derivative of -i**6/180 - 3*i**5/10 + 13*i**4/24 + 37*i**3/18 - 387*i. Solve v(w) = 0.
-37, -1, 0, 2
Let y(g) be the first derivative of -g**5/15 + 5*g**4/2 - 28*g**3/3 + 41*g**2/3 - 9*g - 584. Factor y(j).
-(j - 27)*(j - 1)**3/3
Let p(q) be the first derivative of -q**3/27 + 257*q**2/9 - 66049*q/9 - 2346. Factor p(r).
-(r - 257)**2/9
Let v = -96787/18 - -48398/9. Find y, given that 0 + 11/4*y**2 + v*y**3 - 1/4*y**4 - 3*y = 0.
-3, 0, 1, 4
Determine o so that -4/5*o**2 + 3668/5*o + 0 = 0.
0, 917
Let z(n) = -11*n - 432. Let t be z(-75). Let u = t + -4319/11. Factor -u + 1/11*v**3 + 0*v + 3/11*v**2.
(v - 1)*(v + 2)**2/11
Let g(d) = 18*d**3 + 181*d**2 + 962*d + 784. Let y(c) = -44*c**3 - 452*c**2 - 2404*c - 1960. Let u(j) = 12*g(j) + 5*y(j). What is n in u(n) = 0?
-14, -7, -1
Let p(g) = -g**3 + 486*g**2 + 15666*g - 33646. Let q(b) = 500*b**2 + 15665*b - 33645. Let d(w) = 5*p(w) - 6*q(w). Factor d(i).
-5*(i - 2)*(i + 58)**2
Factor -7*x**5 - 14*x**5 + 19*x**5 + 742504*x - 1076*x**4 - 181948*x**3 - 11275200*x**2 - 10292*x**3 + 22585496*x.
-2*x*(x - 2)*(x + 180)**3
Suppose -3*h + 2 = -4*l, 12*h - 1 = 11*h + l. Suppose 0 = -5*n - 2*w + 4, -4*n + 2*n + h*w = -10. Suppose -4/3*z**n - 2*z + 2/3*z**3 + 0 = 0. What is z?
-1, 0, 3
Let v(k) be the first derivative of 50*k - 150 + 2*k**3 - 1/10*k**4 - 15*k**2. Factor v(m).
-2*(m - 5)**3/5
Let f(b) be the first derivative of -b**4/2 + 988*b**3 - 732108*b**2 + 241107568*b - 1568. Facto | {
"pile_set_name": "DM Mathematics"
} |
d to three dps?
0.088
Round -0.0001179041 to six decimal places.
-0.000118
Round -308832.8 to the nearest one hundred.
-308800
Round 0.0000005208521 to seven decimal places.
0.0000005
What is -21321593 rounded to the nearest one hundred thousand?
-21300000
Round 50096 to the nearest one hundred thousand.
100000
What is -11.15445 rounded to 2 decimal places?
-11.15
What is 6.94553 rounded to two decimal places?
6.95
What is -293.57 rounded to the nearest integer?
-294
Round 12904050 to the nearest one million.
13000000
What is -123.43626 rounded to zero decimal places?
-123
What is -56849460 rounded to the nearest one hundred thousand?
-56800000
What is 1040.98 rounded to the nearest one hundred?
1000
What is 0.269767 rounded to three decimal places?
0.27
Round -2732.2083 to the nearest ten.
-2730
What is 15817.86 rounded to the nearest 100?
15800
What is -0.004605116 rounded to four dps?
-0.0046
Round -926813 to the nearest one hundred thousand.
-900000
Round 0.000751381 to 6 dps.
0.000751
What is -0.00005532378 rounded to 5 dps?
-0.00006
What is -222.514 rounded to the nearest ten?
-220
What is -19146.508 rounded to the nearest 10?
-19150
Round -134697.4 to the nearest one thousand.
-135000
Round 0.000454278 to 4 dps.
0.0005
Round -287.6858 to the nearest one hundred.
-300
What is -0.0010850347 rounded to 5 decimal places?
-0.00109
What is -8.84808 rounded to 2 dps?
-8.85
What is 1263925 rounded to the nearest 10000?
1260000
Round -23334.28 to the nearest 10000.
-20000
What is -0.8917948 rounded to one decimal place?
-0.9
What is 111.3231 rounded to the nearest ten?
110
What is 193.688 rounded to the nearest ten?
190
What is -628629 rounded to the nearest 100000?
-600000
What is 1.595951 rounded to 1 decimal place?
1.6
What is -311389800 rounded to the nearest 1000000?
-311000000
What is -4343.276 rounded to the nearest one hundred?
-4300
Round 6.198987 to the nearest integer.
6
What is -0.00000409056 rounded to 7 decimal places?
-0.0000041
Round 616161 to the nearest 10000.
620000
What is -2.1193248 rounded to 2 dps?
-2.12
What is 13.772573 rounded to three decimal places?
13.773
What is -8478910 rounded to the nearest 100000?
-8500000
What is -1610977.6 rounded to the nearest one hundred thousand?
-1600000
Round 0.000666049 to five dps.
0.00067
What is -341456.3 rounded to the nearest 1000?
-341000
What is 1.43354 rounded to one decimal place?
1.4
What is 0.00009819953 rounded to six decimal places?
0.000098
What is 15800848 rounded to the nearest one hundred thousand?
15800000
What is -1.62627 rounded to 1 dp?
-1.6
Round 4799.862 to the nearest 100.
4800
What is 1.069185 rounded to 3 dps?
1.069
What is 4466.378 rounded to the nearest one hundred?
4500
What is -0.2054826 rounded to four decimal places?
-0.2055
What is 0.0000107715 rounded to six decimal places?
0.000011
Round -0.00000209883 to 7 decimal places.
-0.0000021
What is -6.31202 rounded to 2 dps?
-6.31
Round -0.00009890811 to seven decimal places.
-0.0000989
Round 0.01086437 to 4 decimal places.
0.0109
Round 941582 to the nearest 1000.
942000
Round -876.8318 to the nearest integer.
-877
Round 0.000035908407 to five decimal places.
0.00004
What is -21151.6 rounded to the nearest one thousand?
-21000
Round -0.000006320088 to seven decimal places.
-0.0000063
What is 850244.8 rounded to the nearest 100000?
900000
Round 0.7054706 to 2 dps.
0.71
What is -18.540998 rounded to 0 dps?
-19
What is 64422.9 rounded to the nearest 1000?
64000
Round 0.1196017 to three decimal places.
0.12
What is -44.834392 rounded to 1 decimal place?
-44.8
Round -0.000478001 to four dps.
-0.0005
What is 733796700 rounded to the nearest one hundred thousand?
733800000
Round 3273.7226 to the nearest one thousand.
3000
What is 40.11772 rounded to the nearest integer?
40
What is 39900840 rounded to the nearest 1000000?
40000000
What is -947.729 rounded to the nearest ten?
-950
What is 0.00044658106 rounded to five decimal places?
0.00045
Round -4.07025 to 2 dps.
-4.07
What is 45588.2 rounded to the nearest 10000?
50000
What is 110430260 rounded to the nearest one million?
110000000
What is -0.00007886429 rounded to 6 decimal places?
-0.000079
What is -6280.85 rounded to the nearest one thousand?
-6000
What is -2.0317863 rounded to three decimal places?
-2.032
Round -31.0661 to the nearest integer.
-31
Round 26.81835 to zero dps.
27
What is -22675 rounded to the nearest one hundred?
-22700
Round 0.28501 to 4 dps.
0.285
What is 0.03953368 rounded to four decimal places?
0.0395
What is 0.12389035 rounded to four decimal places?
0.1239
What is 36664460 rounded to the nearest 1000000?
37000000
Round 250265.1 to the nearest 100000.
300000
Round -42.459 to the nearest 10.
-40
What is -106.2062 rounded to the nearest 10?
-110
What is -0.00003246316 rounded to 5 dps?
-0.00003
What is -0.00008571886 rounded to five decimal places?
-0.00009
What is -387626 rounded to the nearest 100000?
-400000
What is 15.15168 rounded to two decimal places?
15.15
Round -1176966 to the nearest 10000.
-1180000
What is -50.85827 rounded to the nearest ten?
-50
Round -8.9254 to 0 dps.
-9
What is -22326.51 rounded to the nearest 100?
-22300
What is 477764.5 rounded to the nearest 1000?
478000
Round 336600.43 to the nearest 100.
336600
Round 0.3250311 to four decimal places.
0.325
What is -40.3347 rounded to one decimal place?
-40.3
Round 0.1168399 to 4 decimal places.
0.1168
Round 0.68636 to one decimal place.
0.7
Round 1949510 to the nearest ten thousand.
1950000
Round 0.16188658 to 3 decimal places.
0.162
Round -55058400 to the nearest one million.
-55000000
Round -0.00000133818 to six dps.
-0.000001
Round -0.5265662 to 4 decimal places.
-0.5266
Round 0.00000843674 to 7 dps.
0.0000084
What is 0.30937 rounded to two decimal places?
0.31
What is 9.089664 rounded to one decimal place?
9.1
What is 7372.607 rounded to the nearest one thousand?
7000
Round 20237.44 to the nearest 100.
20200
What is 0.004137051 rounded to 6 dps?
0.004137
Round -95027.9 to the nearest 1000.
-95000
What is 29.8427 rounded to the nearest ten?
30
Round 0.280005 to three dps.
0.28
Round -0.00001922678 to 7 decimal places.
-0.0000192
Round -207.672 to the nearest 10.
-210
What is 0.00010355 rounded to 3 dps?
0
What is 0.0664208 rounded to 2 dps?
0.07
What is -0.0260986 rounded to 2 dps?
-0.03
Round 106296790 to the nearest 1000000.
106000000
Round 834069.6 to the nearest one hundred thousand.
800000
What is 2.3381907 rounded to 3 decimal places?
2.338
What is -4882300 rounded to the nearest 1000000?
-5000000
Round -54.49175 to 1 dp.
-54.5
What is -0.000155873 rounded to five decimal places?
-0.00016
What is 7.92542 rounded to 2 dps?
7.93
What is 68410610 rounded to the nearest 100000?
68400000
What is 40594.48 rounded to the nearest one thousand?
41000
Round -0.00004462159 to 7 dps.
-0.0000446
Round -0.00001199054 to 7 dps.
-0.000012
What is 0.000256904 rounded to 6 decimal places?
0.000257
What is -50330.09 rounded to the nearest 10?
-50330
What is -8035.423 rounded to the nearest one hundred?
-8000
What is -0.012349631 rounded to five dps?
-0.01235
Round 379593000 to the nearest one million.
380000000
What is -7233 rounded to the nearest 100000?
0
Round -0.027897 to 4 decimal places.
-0.0279
Round 0.0000012047007 to 7 dps.
0.0000012
Round -30458.215 to the nearest one thousand.
-30000
What is 0.0021871 rounded to four dps?
0.0022
What is -42.63378 rounded to 2 decimal places?
-42.63
Round 23719620 to the nearest 100000.
23700000
What is 0.0008802531 rounded to four dps?
0.0009
What is 12912.71 rounded to the nearest ten?
12910
What is -0.13572136 rounded to two dps?
-0.14
What is 1263940 rounded to the nearest 100000?
1300000
Round -80600 to the nearest 100000.
-100000
Round -0.000213009 to five dps.
-0.00021
What is 0.01303004 rounded to four dps?
0.013
What is 551.26 rounded to the nearest 100?
600
Round 1997.338 to the nearest one hundred.
2000
What is -0.00001648392 rounded to 7 dps?
-0.0000165
What is 6114600 rounded to the nearest one hundred thousand?
6100000
What is -0.0006929228 rounded to 6 dps?
-0.000693
What is -0.0000410905 rounded to 5 dps?
-0.00004
What is -0.000579223 rounded to four dps?
-0.0006
Round -29909 to the nearest ten.
-29910
What is 8645230 | {
"pile_set_name": "DM Mathematics"
} |
Simplify ((b/(b*b**(1/5))*b)/b*b**(-10)*b)/((b/b**(-7))/b*b/b**6) assuming b is positive.
b**(-56/5)
Simplify (s/(s/(s*s/(s*s**2))*s*s))**(-2/31) assuming s is positive.
s**(6/31)
Simplify (a*a**(2/9)/a)**(-1/16) assuming a is positive.
a**(-1/72)
Simplify (x/(x*x*x**(-7)*x))/((((x*x**(1/5))/x*x)/x)/x) assuming x is positive.
x**(29/5)
Simplify ((q/(q*q**(-14)*q))/q)**(-1/2) assuming q is positive.
q**(-6)
Simplify (u**(-15/2)/(u**9/u))**(-37) assuming u is positive.
u**(1147/2)
Simplify (f/(f*f*f**(2/5)/f*f)*f*f)**(-3/29)*f*f**(2/41)*f*f**(2/17) assuming f is positive.
f**(212677/101065)
Simplify (k**(-12)*k**(-11))**(-39) assuming k is positive.
k**897
Simplify (h**0/h*h*h**(3/10))/(h/(h*h/(h/(h/(h**(2/9)*h)))*h)*h)**(-18) assuming h is positive.
h**(43/10)
Simplify ((i*i**4*i)/i)/i*i*(i/(i*i/(i*(i**(-2/3)/i)/i)))/i*(i**(-2/7))**(-21) assuming i is positive.
i**(22/3)
Simplify (j**(-9)/(j*j**(-4)))/(j/(j/j**(-2))*(j/((j**(-7)*j)/j))/j*j) assuming j is positive.
j**(-12)
Simplify (z/(((z/(z/(z/z**(1/2)*z)))/z*z)/z))**(2/45)*z**(-5)/z*z**(2/3)*z assuming z is positive.
z**(-194/45)
Simplify h**(-7)/(h*h**(-3)*h)*(h**(-2/5)/h)**(3/7) assuming h is positive.
h**(-33/5)
Simplify (n/(n*n**(12/11)))/(n/(n*n**(-12))) assuming n is positive.
n**(-144/11)
Simplify (c**(-1)/c)**(5/2)*c**(-3/4)/(c/c**(-3/5)*c) assuming c is positive.
c**(-167/20)
Simplify ((t*(t/((t/t**(-1/4))/t*t))/t*t)**(-50))**12 assuming t is positive.
t**(-450)
Simplify (((y*y*y**17/y*y*y)/y)/y)/(y/(y/(y**(1/10)/y*y)*y*y)) assuming y is positive.
y**(199/10)
Simplify c/(c**(3/2)/c)*c**(-1/3) assuming c is positive.
c**(1/6)
Simplify (v**(-1/2)*v)**(4/7)/(v**(-3)/(v/(v*v/(v*v*v*v**(4/11)*v))*v)) assuming v is positive.
v**(589/77)
Simplify (s**0/(((s/(s/(s**3/s)))/s*s*s)/s))**(-26/5) assuming s is positive.
s**(52/5)
Simplify ((g/(g*g/g**(-2/9)))/(g*(g**(-3/11)*g)/g))**(-8/15) assuming g is positive.
g**(1544/1485)
Simplify (f**0)**(-44)*(f/(f**(-1/6)*f))/(f*f**(-3/5)) assuming f is positive.
f**(-7/30)
Simplify v**29*v/(v/v**(22/5)) assuming v is positive.
v**(167/5)
Simplify (q*q*q*q/((q**(2/3)*q)/q)*q)**(-2/11)*q*q*(q*q*q*q**(-3)*q)/q*q**2 assuming q is positive.
q**(106/33)
Simplify (q**3*q)/q*q**(-18)*q assuming q is positive.
q**(-14)
Simplify (c**(2/13)*c*c*c**(-6)*c)/((c/(c*c**(-4)))/c**8) assuming c is positive.
c**(15/13)
Simplify (z**(-1/5)*z)**(8/13) assuming z is positive.
z**(32/65)
Simplify ((t*t/(t/(t*t*t**(-4))))/t*t**(-2))**(-7/4) assuming t is positive.
t**7
Simplify o**(-2)*o**5 assuming o is positive.
o**3
Simplify (y**(-1/7)/(y/(y/y**(-9))*y*y))**38 assuming y is positive.
y**(1824/7)
Simplify (q**(-10/9))**(-24) assuming q is positive.
q**(80/3)
Simplify (i**(-1))**(-48)*(i/(i*(i**(-5/4)*i*i)/i))/(i*i/(i/(i/i**(-7))*i)) assuming i is positive.
i**(161/4)
Simplify ((((p/(p/p**(-9)))/p)/p)/p)**(-1/3) assuming p is positive.
p**4
Simplify ((p**(-2)*p)**(3/2))**(-28) assuming p is positive.
p**42
Simplify (k*k/k**(-4/13))**(-15) assuming k is positive.
k**(-450/13)
Simplify r**3*r**(-2/11)*r*r**(-1/6)*r**(1/5) assuming r is positive.
r**(1271/330)
Simplify ((o**0)**(-35))**37 assuming o is positive.
1
Simplify ((t**(-17)*t)/(t*t/(t*t*t**3/t*t)))**(1/75) assuming t is positive.
t**(-13/75)
Simplify ((n*n*n/(n/(n/((n/n**1)/n)*n)))**(-6))**(-3) assuming n is positive.
n**90
Simplify (i*i*i/i**5*i*i**(2/5))**(-22) assuming i is positive.
i**(66/5)
Simplify (y**(-11))**(-2/45) assuming y is positive.
y**(22/45)
Simplify (l**(-1)/(l*l**(1/11)*l))**(-1/23) assuming l is positive.
l**(34/253)
Simplify u*u**(-15)*u**(-1)/u*u assuming u is positive.
u**(-15)
Simplify (a*a**(1/4)/a)**(-5/4)*(a*a/(a**(-5/3)*a))/(a**(1/6)/a) assuming a is positive.
a**(51/16)
Simplify (s/(s**3/s)*s*s/(s/s**(-10))*s*s)**(-49) assuming s is positive.
s**392
Simplify (c*c*c**2)/c*c/c**(2/15)*c assuming c is positive.
c**(73/15)
Simplify ((s/(s*s**(-1)))/s**(2/7))**(1/48) assuming s is positive.
s**(5/336)
Simplify ((c/((c**9*c)/c))/(c/(c/(((c**(5/4)*c)/c*c)/c))))/(c**(-4)*c*c**(-8/7)*c) assuming c is positive.
c**(-171/28)
Simplify (((d*d*d**(-2/7)*d)/d)**(-41/4))**(1/7) assuming d is positive.
d**(-123/49)
Simplify ((d**(1/3)/d)/d**(6/7))/(d**(1/5)*d*d**6*d) assuming d is positive.
d**(-1021/105)
Simplify ((j/((j**0/j*j)/j))/j)**34*j**6*j*j/(j/(j*(j/((((j/(j/(j*(j*j/(j*j**(1/5)))/j)*j))/j)/j)/j*j))/j)) assuming j is positive.
j**(221/5)
Simplify (t/t**(-3)*t*t**(-3/7)*t)**(9/4) assuming t is positive.
t**(351/28)
Simplify (r*(r*r**(-6/5))/r)/(r**15/r) assuming r is positive.
r**(-71/5)
Simplify (h/(h**(-3/7)*h)*h**5/h)**(4/29) assuming h is positive.
h**(124/203)
Simplify v/v**(-2)*v*v*v**(-5)*(v*v**(-1)*v*v)**(12/5) assuming v is positive.
v**(24/5)
Simplify b*b**(-6)*b**(-21) assuming b is positive.
b**(-26)
Simplify (r**(1/2)/(r/r**4))/(r*r*r**1*r*r)**(12/13) assuming r is positive.
r**(-29/26)
Simplify (s*s*s**6*s)**(-24/7) assuming s is positive.
s**(-216/7)
Simplify x/(x**(-1/25)/x)*x**(9/5) assuming x is positive.
x**(96/25)
Simplify (j*j*j**(-47))/j**39 assuming j is positive.
j**(-84)
Simplify x**2/(x/x**2)*x**(-2)/(x/(x*x*x**5)) assuming x is positive.
x**7
Simplify (t/t**(1/4))**(-1/60) assuming t is positive.
t**(-1/80)
Simplify (y*(y**(-2/11)*y)/y)/y**1*(y*(y*y**(1/3)/y*y)/y*y*y)/y*y*((y/(y**(-2/5)/y*y))/y)/y assuming y is positive.
y**(421/165)
Simplify (g**14/(((g*g/(g*g**(2/11)/g))/g)/g))**(-5) assuming g is positive.
g**(-780/11)
Simplify ((d**(-1/6))**(-21/4))**(-27) assuming d is positive.
d**(-189/8)
Simplify (y*(y**0/y)/y*y)**22/(y**(-7)*y**(-4/9)*y) assuming y is positive.
y**(58/9)
Simplify (f*f**(1/32)/f)/((f*f**(-2/25))/f) assuming f is positive.
f**(89/800)
Simplify (l/(l*l*((l*(l**(6/17)/l)/l*l)/l)/l*l))/(l/(l**(8/13)*l)) assuming l is positive.
l**(58/221)
Simplify a**(4/23)*a/(a/(a**(-1/44)/a*a))*a assuming a is positive.
a**(1165/1012)
Simplify b**(2/5)/b*b/((b**6*b)/b)*b*b*b**10/((b/b**4)/b) assuming b is positive.
b**(52/5)
Simplify (x**(2/3))**26 assuming x is positive.
x**(52/3)
Simplify (j**(-41)*j)/((j/(j**(6/7)/j))/j) assuming j is positive.
j**(-281/7)
Simplify ((a**(-2/5))**(3/7))**(-19) assuming a is positive.
a**(114/35)
Simplify (z/(z/z**(-21)*z))/z**(-20) assuming z is positive.
z**(-2)
Simplify q**(-3/2)/q**(2/7)*(q/q**2)**(-8/7) assuming q is positive.
q**(-9/14)
Simplify z/z**3*z*(z**4/z)/z*(z*z**(-2/5)*z*z)/(z*z**(-1/3)*z) assuming z is positive.
z**(29/15)
Simplify (y**5*y**(-2)/y)**42 assuming y is positive.
y**84
Simplify ((w**(-5)*w)/(w*w**(1/15)/w*w))**(-23) assuming w is positive.
w**(1748/15)
Simplify ((y/(y*(y/y**(2/9))/y))/y**(-1/5))/(y/y**(-10)*y*y*y/(y*y**8)) assuming y is positive.
y**(-206/45)
Simplify l/(l/((l/(l/(l**(-16)/l*l)))/l)*l)*l/l**11 assuming l is positive.
l**(-28)
Simplify l**(-5)*l**1*l**(-1/4)*l*l**(-6) assuming l is positive.
l**(-37/4)
Simplify (x*x**(2/15))/(x*x*x*x**(2/11)*x*x) assuming x is positive.
x**(-668/165)
Simplify (x**(2/9)/x*x/x**(1/11))**17 assuming x is positive.
x**(221/99)
Simplify (j*j*j**5/j)/j**(-4/7)*(j/j**1)**35 assuming j is positive.
j**(46/7)
Simplify ((r/r**(2/5)*r)/r)**(-48)/((r**(2/3)*r)/r)**(-3/4) assuming r is positive.
r**(-283/10)
Simplify (((m**1/m)/m)/m**7)/(m**(2/11))**(-4/3) assuming m is positive.
m**(-256/33)
Simplify ((z*z**(-4/7)/z)/(z/(z**(-8)/z)))/(z**1*z/z**1) assuming z is positive.
z**(-81/7)
Simplify ((o**(-1/4)/o)/o)**(-1/8) assuming o is positive.
o**(9/32)
Simplify f*f**(2/7)*f**(1/2)*f assuming f is positive.
f**(39/14)
Simplify (h**(6/19)*h)/(h**(-3/16)/h) assuming h is positive.
h**(761/304)
Simplify w**(1/10)/(w/(w**2*w)) assuming w is positive.
w**(21/10)
Simplify y**(3/10)/y*y*y**(2/13)*(y*y**(1/14))/(y*y*y**(1/11)) assuming y is positive.
y**(-2831/5005)
Simplify ((p*p**(15/7))/p)**(17/4) assuming p is positive.
p**(255/28)
Simplify ((b**32*b*b)/b)**(1/2) assuming b is positive.
b**(33/2)
Simplify (l**4*l*l*l*l**5*l)/(l**(-2/5)/l)**(1/8) assuming l is positive.
l**(527/40)
Simplify x**3/(x/x**(-7))*(x/(x*((x**(-1)*x*x*x)/x)/x))**(-13/6) assuming x is positive.
x**(-5)
Simplify (r**(3/2)/((r**(-3)*r)/r))/(r**(-1/4)/(r**(-8)*r)) assuming r is positive.
r**(-9/4)
Simplify (c**4*c**1*c*c)/(c**4/c**3) assuming c is positive.
c**6
Simplify (t/(t/(t**(8/5)/t*t)*t*t) | {
"pile_set_name": "DM Mathematics"
} |
et n = 4065 + -4012. Are 0 and n non-equal?
True
Let h(z) = -z**2 - 4*z - 4. Suppose v - 4*q - 14 = 0, -33 = -3*v - 0*q + 3*q. Suppose -v*r - 52 = 8. Let n be h(r). Is n greater than -15?
False
Let k be (75/(-30))/(3/6). Let l be (-4 + (0 - k))*-13. Let b = 19 - 31. Are l and b equal?
False
Suppose 174*u + 168 = 167*u. Suppose 21 = -2*a + 5*a. Suppose -3*i + 88 = -a*i. Which is greater: i or u?
i
Let y(f) = 95*f**3 + f**2 - 3*f + 2. Let b be y(1). Let q = b - 109. Which is smaller: q or -5?
q
Let l(b) = -20*b**2 + 22*b + 24. Let t be l(-1). Let p be (-34 + ((-48)/t - 3))/3. Are -12 and p unequal?
True
Let q = -9 + 1. Let j be 345/(-230)*20/3. Which is smaller: j or q?
j
Let l(s) = -s**2 + 2*s + 6. Let n be l(4). Let c(i) be the third derivative of -i**6/120 - i**5/30 + i**4/12 + i**3/2 + 3*i**2. Let u be c(n). Is u >= 8?
False
Let m be 0/7 + (-412)/(-18). Let i(h) = -h**3 - 223*h**2 - 220*h + 466. Let t be i(-222). Is t at least as big as m?
False
Suppose 2105*y = 2110*y - 1165. Which is smaller: y or 225?
225
Suppose 0 = -72*u + 128*u - 3 + 3. Is u not equal to -3/8812?
True
Suppose -28*t - 102 = -45*t. Let y be (4*(-60)/144)/(8/t). Is 0 bigger than y?
True
Let a(f) = -38*f**3 + 11*f**2 - 21*f - 6. Let d be a(3). Let c = -997 - d. Let t be (1/29)/(1/(-3)). Is t less than or equal to c?
False
Let a be (-4 - -3)*1*3/2*38. Let f = 16 - 12. Suppose 283 = -5*l + o + 2*o, 0 = -f*o + 4. Which is smaller: l or a?
a
Let n = 0.3 + 0.4. Let r = -107.117 + 107.017. Is r >= n?
False
Suppose 3*j + 6 = 24. Let h = -9398 + 37605/4. Is h not equal to j?
True
Suppose 0 = 4*o - 2*b + 13838, 4*b + 13844 = -31*o + 27*o. Which is smaller: o or -3459?
o
Let g(y) = 2*y + 33 - 67 + y**3 + 11*y**2 + 35. Let o be g(-10). Which is smaller: 82 or o?
o
Let y = -4230 - -4229. Which is smaller: y or -1/535?
y
Let l be (-6)/10 - 3*2/(-10). Suppose 4*a = 3*p + 5*a - 25, 4*a - 16 = l. Let t be 2/108*10*30. Are t and p non-equal?
True
Let d(x) = -x**3 + 8*x**2 - 12*x + 2. Let f be d(6). Suppose m - 7 = -4. Suppose 0 = f*h + 3*v + 160, 131 = -m*h - 3*v - 109. Is h > -80?
False
Let u = -68.1 + 0.1. Let j = u + 67.99. Let z = -11 - -12. Is j equal to z?
False
Suppose -5*m = 2*w + 96, 3*m + 26*w - 23*w = -45. Let i(u) = -u**3 - 4*u**2 + 7*u - 1. Let b be i(-5). Is m smaller than b?
True
Let r be 3/(2*4/(-8)). Let s be 3 + r - 144/(-44). Let g = 1 - -1. Which is bigger: s or g?
s
Let y = 211 + -190. Suppose 516 = y*r - 9*r. Is r >= 43?
True
Suppose -3*p - 1371 = -5*x, 376*p - 538 = -2*x + 372*p. Which is greater: 265 or x?
x
Let o = 148 + -146. Suppose 0 = 5*c + 3*y - 123, -39 = -2*c - o*y + 11. Do c and 22 have the same value?
False
Let p be 4 - (3 + (-41 - -2 - 0)). Let v be 13/21 - p/(-60). Which is smaller: v or 1?
1
Let w = 193074 + -83987246/435. Is -1 bigger than w?
False
Suppose -5*i = 3*w + 907, 5*i - 2*i - 321 = w. Let z = 352 + w. Which is bigger: z or 0?
z
Let c = 0.33 + -0.407. Let h = 0.007 + c. Let o = 8 - 12. Which is smaller: h or o?
o
Let w = -2409 - -2408.9767. Which is bigger: w or -6?
w
Let t be (22456/70 - -13)/((-4)/10). Which is greater: -836 or t?
t
Let h = -1984156/42465 + -25/2831. Which is smaller: h or -48?
-48
Let b = 2206/5 - 444. Let d = -169/30 - b. Is d less than -2?
True
Let p be 4/14*(0 - -7). Suppose p*z + 19 = 3*r, -5*r + r = 5*z - 10. Let c = 12410 + -86875/7. Which is bigger: z or c?
c
Let c = 65 + -65. Let j be (-3)/(-7)*13/((-25974)/12). Which is smaller: j or c?
j
Let b = 44.24 + -44. Let r = 9.34 - b. Let l = r + -5.6. Are 0 and l unequal?
True
Let q be (-27)/(-90) - (7715/50 - 7). Is q at least as big as -1024/7?
False
Let i(b) = 1106*b + 10. Let g be i(13). Let z = g + -791312/55. Which is smaller: 1 or z?
z
Let k be (0 - 3 - -2)/(4/(-84)). Suppose 2*u = -v - k + 3, -4*v = -4*u + 60. Let b be 4*(-4)/(v/10) - 3. Is b < 7?
False
Let h(s) = 19 - 36 + 11 + 13 - s. Let k be h(3). Suppose 0 = -4*p + 4*q + 8, -5*p - 6 = -6*p + 2*q. Is k bigger than p?
True
Let j = 123 - 87. Let m = 13 + -40. Let x = 26 + m. Which is greater: j or x?
j
Let j be 60/(-50)*(3 + 44/(-8)). Suppose -y - 2*y + 4*t = -26, -y + 3*t = -2. Suppose y*b = 11*b + j. Which is smaller: 5/21 or b?
5/21
Let b = -632 - -578. Is -55 != b?
True
Let a = 4870 - 4870. Which is bigger: 3070 or a?
3070
Suppose -7*o + 5*o - 7 = -5*z, 0 = o - 3*z + 5. Suppose -4*j = 2*v - 176, -17*v = -15*v - o*j - 200. Which is greater: v or 93?
v
Let a = -240.2 - -240.1. Is 3799 smaller than a?
False
Let w(m) = -m**3 - 39*m**2 - 25*m - 20. Let j be w(-38). Let f = j - -566. Which is bigger: 56 or f?
56
Let j = -3670 + 3394. Which is greater: -278 or j?
j
Let m = -699.1601 + 0.1601. Let v = -702 - m. Which is bigger: v or -4/59?
-4/59
Suppose 5 = 5*q + n, 3*q = -0*n - 2*n + 10. Let a(s) = 23*s**3 + 13*s**2 - 5*s - 8. Let o be a(-4). Let j be o/(-1092)*7 + -8. Is j smaller than q?
False
Let p be (-237)/(-996) + 2/(-8). Let r = 270 - 273. Let t be 4/r - (-16)/24. Which is bigger: t or p?
p
Let q = -125/363 + 15797/46343. Which is smaller: q or 1?
q
Suppose 0 = 2*k + 5*f - 32483, k + 0*k - 2*f - 16219 = 0. Let n = k - 111352/7. Let c = 321 - n. Which is smaller: c or 3?
c
Suppose -262*g + 2242 = -243*g. Are 233/2 and g nonequal?
True
Let v(j) = j**3 - 2*j**2 + 4*j - 3. Let y be v(2). Suppose -2*b = 3*x - 0*b + y, -b - 4 = 2*x. Let g be (4 + 121/(-33))/(-2 - -1). Is x at most g?
True
Let g = -14 - -12. Suppose 3*m = -83 - 88. Let v = -181/3 - m. Which is smaller: g or v?
v
Let z be 4/5*(-30)/(-12). Suppose z*l - l = 2*l. Suppose l = 4*x - 5*x - 13. Which is bigger: -25/2 or x?
-25/2
Suppose 4 + 1 = 2*l + d, -2*l + 2*d + 2 = 0. Let t be ((99/l)/(-3))/(1/(-2)). Is t > 33?
False
Let i = 1657 - 1657.1. Which is smaller: 14/3289 or i?
i
Suppose 0 = -9*u + 7*u. Let m be 2/1 + (7 - 11). Let o be 1*203/280 + m/20. Do u and o have different values?
True
Suppose 293 = -3*n + 4*n. Suppose 31 = 6*w - n. Let b = 4514 - 4459. Are b and w equal?
False
Let m = -318.15 - -13801.15. Is m <= -1/3?
False
Let r be 1/1*(-4 - 1 - -1278). Suppose -5*y + 25*p - 29*p = r, 4*p = -3*y - 767. Are -505/2 and y unequal?
True
Let a(x) = -7*x + 16. Let d(l) = -l - 1. Let f(m) = a(m) - 6*d(m). Let v be f(0). Let n(h) = h**2 + 9*h + 22. Let g be n(-9). Is g greater than v?
False
Suppose -3*y + 12 = 0, 0*g = -3*g - 2*y + 14. Suppose 0 = -5*m - 3*f + 127, -4*f = g*m - 3*m + 7. Let n = m - 46. Is n >= -24?
True
Let k = 48 - 44. Suppose 2*o + 2 = -k. Is o less than -24/13?
True
Let j = 0.1329 + -0.2329. Let o = 1011 + -999.89. Let y = o + -0.11. Which is bigger: y or j?
y
Let s be (-602)/21 - (15/(-9) + 2). Which is bigger: s or -17?
-17
Suppose -n - 28*x - 16 = -30*x, -3*n = 5*x + 48. Is -177/11 at most as big as n?
True
Let o = 9410/29 - 266228/377. Is -382 smaller than o?
True
Suppose 680*i - 348*i - 350*i = 18. Which is smaller: -4/4325 or i?
i
Let m(k) = 16*k**2 + 38*k + 32. Let d be m(-16). Let f be 2 + ((-7515)/d - 10/(-55)). Is 0 >= f?
False
Let p be (-19434)/(-205) + 2/10. Let h = 93 - p. Which is smaller: -20/23 or h?
h
Let s be (11/6 - (-27)/(-18))*0. Which is smaller: 48/223 or s?
s
Let q = -230 - -228. Let x be 3 - q/(-24)*39. Does 84 = x?
False
Suppose 381*t - 344*t + 168239 = 0. Do -4547 and t have the same value?
True
Let g = 25141496/21 + -1196627. Let m = g + -1685/3. Which is smaller: m or 26?
m
Let v = -37/2522 + 649/1261. Let b = 141 - 64. Are b and v equal?
False
Suppose 16*h = 5221 + 9771. Let o be (2 + h)*(-7)/105. Which is smaller: o or -62?
o
Suppose -83*s - 894 = -84*s. Which is smaller: 896 or s?
s
Let a = -5689/9 + 633. Let z = 201 + -200. Is a less than or equal to z?
True
Let m be 2/(-8) + (-25)/(-148). Let v be 2/((-5)/4*(8 + -4)). Which is smaller: v or m?
v
Let t(h) = h**3 - 5*h**2 - 34*h + 205. Let o be t(13). Let d be (-10)/(-15) - o/(-150). Which is smaller: d or 8?
8
Let n be 2 + 0 + -3 - 4. Let d(q) = 201*q + 6425. Let i be d(-32). Is n < i?
False
Let d(m) = 8*m + 4. Let a be d(6). Let y = -4 + a. Suppose -7*w + y = -w. Is w greater than 9?
False
Suppose -3*u = 2*a - 2280, 51*u - 3450 = -3*a + 54*u. Are 1148 and a nonequal?
True
Let g(x) = 12*x - 34. Let b be g(3). Let t be (4/20)/((-6)/(-15))*b. Is -1/56 < t?
True
Suppose 0 = 2*s + 3*z - 148 + 537, s + 3*z + 196 = 0. Let n(m) = 192*m**3 + m + 1. Let r b | {
"pile_set_name": "DM Mathematics"
} |
hird derivative of -47*i**6 + 2*i**3 - 288*i**2 wrt i?
-5640*i**3 + 12
What is the first derivative of -q**2*u**2 - 4*q*u**2 - 2*q*u + q - 48*u**2 - 6*u - 2 wrt q?
-2*q*u**2 - 4*u**2 - 2*u + 1
Differentiate -272*n**3 + 460.
-816*n**2
Find the second derivative of -399*l**2*t + l**2 + 4*l*t - 12*l - 2 wrt l.
-798*t + 2
Find the third derivative of 2*h**4*v**2 + 2*h**4*v - 60*h**3*v**2 - 3*h**2*v**2 + 7*h**2*v wrt h.
48*h*v**2 + 48*h*v - 360*v**2
Find the first derivative of 1357*s - 1777.
1357
What is the third derivative of -15523*b**5 - 147*b**2 - 12*b + 2 wrt b?
-931380*b**2
What is the second derivative of 746*c*h**3 + 1104*c*h - 5*h**3 + h**2 + 3*h wrt h?
4476*c*h - 30*h + 2
What is the first derivative of -5*s*u**2 - 1663*s - 173*u wrt u?
-10*s*u - 173
Find the third derivative of -o**4*p + 383*o**3*p + 1405*o**2*p - 2*o*p wrt o.
-24*o*p + 2298*p
What is the second derivative of -3*q**3 - 939*q**2 - 464*q + 2?
-18*q - 1878
What is the third derivative of -314*f**3 + 947*f**2 wrt f?
-1884
What is the third derivative of -2*g*v**3 - 12*g*v**2 - 7*v**3 - 5*v**2 wrt v?
-12*g - 42
Find the second derivative of -1272*w**5 - w - 134 wrt w.
-25440*w**3
What is the first derivative of j**3*o + 16*j**2*o - j**2 + 122*o wrt j?
3*j**2*o + 32*j*o - 2*j
Find the second derivative of 300*f**2 - 2769*f.
600
Find the second derivative of 1636*v**2 + 2101*v wrt v.
3272
What is the third derivative of 1475*w**3 + 1150*w**2?
8850
Find the third derivative of 361*o**4 + 777*o**2 - 2 wrt o.
8664*o
What is the derivative of -f*g**2*h - 101*f*g*h**2 + 54*g**2*h**2 - g**2*h - h**2 wrt f?
-g**2*h - 101*g*h**2
Find the third derivative of 4*h**2*k**3 + 32*h**2*k**2 + 7*h**2 - 10*k**3 wrt k.
24*h**2 - 60
What is the second derivative of -139*h**3*j**2 - h**3*j - 52*h**2*j*w + h*j*w - 17*j**2*w - 4*j wrt j?
-278*h**3 - 34*w
Differentiate 3*d**3*l**3 - 11*d**3 + 2*l**3 + 70*l wrt d.
9*d**2*l**3 - 33*d**2
What is the third derivative of 87*w**3*y**3 - 2*w**3*y - 19*w**2*y**3 - w**2*y - y**3 wrt w?
522*y**3 - 12*y
What is the third derivative of -7*r**6 - 4*r**4 - 2*r**2 - 203?
-840*r**3 - 96*r
Find the first derivative of -20265*h + 18076 wrt h.
-20265
Differentiate c*w*y**2 + 2*c*w*y + 9*c + 66*w*y - 4*w + y with respect to y.
2*c*w*y + 2*c*w + 66*w + 1
What is the second derivative of -162*q*u**5 - q*u**3 - 2*q*u - 24*q - 5*u wrt u?
-3240*q*u**3 - 6*q*u
Find the first derivative of 3969*p**3 - 300.
11907*p**2
Find the third derivative of -18*h**5 + 16*h**4 + 1015*h**2.
-1080*h**2 + 384*h
Differentiate 1689*c**2*i**3 - 4*c**2*i + c**2 - 4*c - 278 wrt i.
5067*c**2*i**2 - 4*c**2
What is the first derivative of -58*c**2*t**3*x - 18*c**2 - c*t**3*x + 40*t**3*x + 29*t**3 wrt c?
-116*c*t**3*x - 36*c - t**3*x
What is the second derivative of 2299*a**2*n*o**2 + a**2*n*o - 2*a*n*o + 2*a*o**2 - 3*n*o**2 + 52*n*o wrt a?
4598*n*o**2 + 2*n*o
Find the second derivative of l**5 + 7*l**3*x + l*x - 87*x - 2 wrt l.
20*l**3 + 42*l*x
Find the second derivative of 83*b**3*m**5 - 25*b**3*m - b**2*m**5 + b*m - m wrt m.
1660*b**3*m**3 - 20*b**2*m**3
What is the derivative of -2*a**4 - 13*a*i**2 + i**2 - 2 wrt a?
-8*a**3 - 13*i**2
What is the first derivative of -162*a**2 + 677 wrt a?
-324*a
What is the second derivative of -c**4 + 34*c**3 - 260*c?
-12*c**2 + 204*c
Find the second derivative of -45*v**5 - 84*v**2 + 7587*v wrt v.
-900*v**3 - 168
What is the derivative of 12*b*l**2*o**2 + 329*b*l**2 + 12*l**2*o**2 + 896 wrt b?
12*l**2*o**2 + 329*l**2
What is the second derivative of 2*a*c*s**3 + a*c*s**2 - 596*a*c*s - 2*c*s - 46*s**3 wrt s?
12*a*c*s + 2*a*c - 276*s
What is the third derivative of 2*g**2*t**6 + 165*g**2*t**3 - 97*g**2*t**2 wrt t?
240*g**2*t**3 + 990*g**2
Find the third derivative of 2*n**2*s**3 - 120*n**2*s**2*y**2 + 36*n**2*s*y**3 + 2*n*s**3*y - 27*s**3*y**3 - s**2*y**2 + 2*s*y wrt y.
216*n**2*s - 162*s**3
Find the second derivative of 50*o**3 - 144*o**2 + 19428*o.
300*o - 288
What is the derivative of 831*o**3 + o**2 - 2035 wrt o?
2493*o**2 + 2*o
Differentiate -696*j**2 - j + 2009.
-1392*j - 1
What is the second derivative of -12*b**2*v**2 + 3*b**2*v + 14*b*q**2*v**2 + b*q**2*v + 284*v wrt v?
-24*b**2 + 28*b*q**2
Differentiate -5*j**3*l + 3*j**3*n - 2*j*l*n + 4*j + 2*l*n + l wrt n.
3*j**3 - 2*j*l + 2*l
What is the second derivative of 3*s**4 + 2*s**3*y**2 + 176*s**3 + 3712*s*y**2 + s + 2*y wrt s?
36*s**2 + 12*s*y**2 + 1056*s
Find the first derivative of -7*f*s**3 + 123*f*s - 9*f - 22 wrt s.
-21*f*s**2 + 123*f
What is the third derivative of -3*z**5 - 318*z**3 - 150*z**2?
-180*z**2 - 1908
Find the third derivative of 5*l**4 + 1392*l**3 - l**2 + 2*l + 251.
120*l + 8352
What is the third derivative of -35*d**5 - 142*d**2?
-2100*d**2
What is the second derivative of 237*j**4 - 476*j wrt j?
2844*j**2
Find the second derivative of 4376*s**2*w - 161*s*w - s - w + 2 wrt s.
8752*w
Differentiate -15203*g**4 - 6679.
-60812*g**3
What is the third derivative of 3451*i**3 + 4858*i**2?
20706
What is the third derivative of 10*s**4 + 138*s**3 - 6*s**2 + s - 44?
240*s + 828
Find the third derivative of -35*x**5 - 10*x**4 + 843*x**2 wrt x.
-2100*x**2 - 240*x
Find the second derivative of 3*i**4*v**2 + 35*i**2*m*v**2 - 3*i*m + m*v**2 + 3*m*v wrt i.
36*i**2*v**2 + 70*m*v**2
Differentiate m**2*u**3 - m**2*u**2*y - m**2*u**2 + 19*m*u**2 + 14*u**3*y wrt y.
-m**2*u**2 + 14*u**3
What is the derivative of 2404*h**4 - 1124 wrt h?
9616*h**3
What is the derivative of 2*d**3*i**3*k + 260*d*i**3*k + d + 95*i**3*k - 4*i**3 + 2*k wrt d?
6*d**2*i**3*k + 260*i**3*k + 1
What is the derivative of 16*d**2*y - 34*d**2 + 2*d*y - 2*d - 6249*y wrt d?
32*d*y - 68*d + 2*y - 2
Differentiate -d**3*v + 126*d*m*v - m - 6*v - 12 wrt d.
-3*d**2*v + 126*m*v
What is the derivative of 1541*o*x**3 - 265*x**3 wrt o?
1541*x**3
What is the second derivative of 2*t**5*u**2 - 108*t**4*u**2 - 944*t*u**2 wrt t?
40*t**3*u**2 - 1296*t**2*u**2
What is the third derivative of -2750*j**6*q**2 + 12*j**2*q**2 + 8*j**2*q - j**2 wrt j?
-330000*j**3*q**2
Find the second derivative of 11*f**2*v**3 + 8*f**2*v**2 + 11*f**2*v + 269*f*v - 2*v**2 wrt v.
66*f**2*v + 16*f**2 - 4
What is the second derivative of -10*h**3*q - 54*h**3 - 2*h*q + 1287*h + q + 3 wrt h?
-60*h*q - 324*h
Find the first derivative of -48*q*s**2 - 2*q*v - 83*q - s**2*v + 3*s*v wrt s.
-96*q*s - 2*s*v + 3*v
What is the second derivative of 7*k**2*o**3 + 2*k**2*o + 29*k*o - 22*o**3 - o wrt o?
42*k**2*o - 132*o
Find the third derivative of -439*i**5 - 1181*i**2.
-26340*i**2
What is the first derivative of -3*b**2*c**3 + 51*b**2*c**2 - 3*b**2*c + 6*c**3 - 38 wrt b?
-6*b*c**3 + 102*b*c**2 - 6*b*c
Find the third derivative of -2*l**6 - 93*l**3 - 502*l**2 + 2 wrt l.
-240*l**3 - 558
Find the first derivative of -c*d**3*k + 13*c*d*k**3 + 591*c*k**3 - 3*k wrt d.
-3*c*d**2*k + 13*c*k**3
What is the third derivative of 16*l**6 - 5*l**5 + 2*l**2 + 1?
1920*l**3 - 300*l**2
Differentiate 2*g**2*w - g*w + 116*g - 4*w - 501 wrt g.
4*g*w - w + 116
What is the third derivative of -12*d*j**6 - 56*d*j**3 + d*j**2 - 45*d*j + 5*j**2 wrt j?
-1440*d*j**3 - 336*d
What is the second derivative of 6*d**2*s**2 - 2*d**2*s*z**3 - 2*d**2*z**3 - d*s**2*z**2 + d*s - 18*d*z**3 + s*z**2 wrt d?
12*s**2 - 4*s*z**3 - 4*z**3
Find the second derivative of 121*s**4*x - 5*s**3*x**2 - 2*s**3 - 6*s*x**2 - s + 4*x**2 + 4 wrt s.
1452*s**2*x - 30*s*x**2 - 12*s
What is the derivative of -79*h**4 - 61*h**3 + 14873 wrt h?
-316*h**3 - 183*h**2
What is the first derivative of 28983*g*m**3 - 994*m**3 - m**2 + 2*m wrt g?
28983*m**3
Find the third derivative of -413*v**5 - 809*v**2 wrt v.
-24780*v**2
Differentiate 2549*p**3 + p + 4790 wrt p.
7647*p**2 + 1
Find the first derivative of 14*q**4 + 8*q**2 + 6*q - 4719.
56*q**3 + 16*q + 6
Find the third derivative of -2*b**2*n**3 - b**2*n**2 - 47*b**2 + 11*b*n**3 - 13*b*n**2 + 17*n**3 - 2*n**2 wrt n.
-12*b**2 + 66*b + 102
What is the third derivative of 31*k**3 - 19*k**2 + 7?
186
Find the third derivative of -o**2*y**4 + 221*o**2*y**2 - 297*o*y**4 wrt y.
-24*o**2*y - 7128*o*y
Find the second derivative of -1058*g**3*t**3 + 2065*g**3*t - 2*g*t**4 wrt t.
-6348*g**3*t - 24*g*t**2
Find the second derivative of -4454*i**4 - 3667*i wrt i.
-53448*i**2
Find the second derivative of -89*d**3*p**2 - | {
"pile_set_name": "DM Mathematics"
} |
+ 5 - 2)*(1 + 8 - 4)*(5*k**2 - k**2 - 2*k**2).
-4530*k**3
Expand (0 - 3 + 2)*(3*p + 0*p + 0*p)*(10 + 6227*p + 47 + 6 - 63).
-18681*p**2
Expand 128*u**2 - 268*u**2 + 139*u**2 - 863*u**3 + (u**2 + u - u)*(u - u - 2*u).
-865*u**3 - u**2
Expand -1 + 4*q**5 - 478*q**3 + 478*q**3 + (0*q**3 - q**3 + 3*q**3)*(-152 + 152 + 13*q**2).
30*q**5 - 1
Expand -3*y - 3*y - 16*y + (-3 + 3 + y)*(-2 + 4 - 4) - 35*y + 3*y + 6*y.
-50*y
Expand (0 - 4 - 1)*(-73 + 73 + 7*z + (0 + 0 + 2)*(-4*z + 520 - 4*z - 524)).
45*z + 40
Expand (-1 + 1 - 4)*(548 + 959 + 395)*((-5 - 1 + 4)*(4*c - 2*c - 3*c) + 1 - 1 - c - 3*c + c + 5*c).
-30432*c
Expand -4*c**3 + 2*c**3 - 2*c**3 + (-4 + 1 + 0)*(-15*c**3 + 30*c**3 - 30*c**3) - c**2 - 2*c**3 + c**2.
39*c**3
Expand (-4*v**2 - 2*v**2 + 2*v**2)*(64*v**2 + 13*v**3 - 64*v**2) - 6*v**5 + 5*v**5 - 2*v**5.
-55*v**5
Expand (10 - 65 - 4)*(8 - 96 - 1 + 16)*(0*g**2 - 2*g**2 + 5*g**2).
12921*g**2
Expand (3*f**4 - 3 + 3)*(5*f + 0*f - 4*f) + 24*f**5 + 17*f**5 - 7*f**5 + (3*f - f**3 - 3*f)*(-7 - 6*f**2 + 7).
43*f**5
Expand (-4*g**2 + g**2 + 0*g**2)*(566*g + 1540*g - 240*g).
-5598*g**3
Expand (-3 + 3*w + 2 + 2)*(-852 + 2175 - 1093).
690*w + 230
Expand (-v**3 + v - v)*(2*v**2 - 5*v**2 + 7*v**2) + (-18*v**4 - 8*v**4 + 2*v**4)*(2*v - 8*v - 3*v).
212*v**5
Expand (o - 4*o + o)*(69 + 28 + 12)*(5*o + o - o) + 50 + 4*o**2 - 50 - o.
-1086*o**2 - o
Expand (-1750 + 5680 + 111)*(k**3 + 0*k**3 - 2*k**3).
-4041*k**3
Expand -1 - 24*i**4 + 1 - 2*i**4 + 0*i**4 + i**4 + (-3*i**2 + i**2 - i**2)*(3*i**2 + 0*i + 0*i).
-34*i**4
Expand (-1 - 9 - 4)*(2*z + z - z)*(-6 + 0 + 3)*(-2*z + 11 - 11)*(2820 - 2820 + z**3 + 8*z).
-168*z**5 - 1344*z**3
Expand (17*o - 9*o - 32*o)*(4 + 14 + 7)*(6*o - 3 + 3).
-3600*o**2
Expand (-26330*m + 7622*m + 5073*m + 4303*m)*(3 - 3 - 2*m).
18664*m**2
Expand (2 + 3 - 1)*(3*u + u + 0*u) + (3 - 5 - 1)*(1 - u - 1) - 6 + 4*u + 6.
23*u
Expand (2*k**3 + k**3 - 4*k**3)*(12*k**2 - 17*k**2 + 99*k**2) + (5*k - 5*k + 2*k**2)*(-k**3 - 1 + 1) - 5 + 5 + k**5 - 4 + 2*k**5 + 4 + 8*k**5 + 35 - 35.
-85*k**5
Expand (-4652*m**4 + 74*m**3 - 74*m**3 - 827*m**4)*(-2*m - m + m).
10958*m**5
Expand (22 + 44 - h**2 + 0*h**2)*(4*h - 4*h + 12*h).
-12*h**3 + 792*h
Expand (1 - 2 + 2)*(-23*k - 66*k + 30*k + (3 - 7 + 3)*(0*k + 2*k + 3*k)).
-64*k
Expand -199 + 199 - 5*r + (1 - 1 + 1)*(2*r + 13 - 13) + 4*r - 6*r + r.
-4*r
Expand (-3*v**3 + v**3 + 3*v**3)*(121*v - 178*v + 4*v**2 - 58*v).
4*v**5 - 115*v**4
Expand -2*g + 5*g - 4*g + (g - 2*g + 2*g)*(83 - 6764 - 59) - g + 0*g - g.
-6743*g
Expand 736*x**5 + 739*x**5 + 1077*x**3 - 1477*x**5 + (-2*x + 2*x + 2*x**2)*(2*x**3 + x**3 - 4*x**3).
-4*x**5 + 1077*x**3
Expand (2*c - c - 2*c)*(2*c + 2 - 2) + 29*c**2 - 26*c**2 + 45*c**2 - 11*c - 4*c + 1410*c**2 - 1406*c**2.
50*c**2 - 15*c
Expand (-4*z**2 - 5*z**2 + 4*z**2)*(33 - 33 + 16*z) + 8*z**3 - 2*z**3 + 2*z**3 + 0*z**3 - z**3 + 2*z**3 + (-3 + 5 - 3)*(2*z**3 + 0*z**3 - 4*z**3).
-69*z**3
Expand (415 - 698 + 357)*(-3*z**4 + 5 - 5 + (3*z - 2*z**2 - 3*z)*(z**2 + 0*z**2 - 2*z**2)).
-74*z**4
Expand (-1 - 3 + 0)*(0 + 2 - 2*w + 4*w)*(-6*w - 5*w + w) + (-3*w - 3*w + 4*w)*(-w - 2*w + w).
84*w**2 + 80*w
Expand (-2 + 2 - 3*y**2)*(-y**2 + 10*y**2 - 2*y**2) + (-127*y + 273*y - 131*y)*(-1 - y**3 + 1) - y**3 + y**3 - 2*y**4.
-38*y**4
Expand (-50*o**3 - 24*o**3 + 19*o**3)*(21*o**2 - 44*o**2 - 68*o**2).
5005*o**5
Expand (-2940*u + 632*u - 401*u - 1205*u)*(-1 - u**2 - 2*u + 1).
3914*u**3 + 7828*u**2
Expand ((-3*u - 4*u + 4*u)*(0 + 5 - 6) - 4*u - 2*u + 4*u)*(1 + 2 - 1)*(3*u + 20*u + 10*u)*(0 - 4 - 1 - 1 - 1 - 1 + (-3 - 1 + 2)*(2 + 1 - 1) + 5 + 0 - 6).
-858*u**2
Expand -17*s**2 + 9*s**2 - 30*s**2 + (-2*s**2 + 4*s**2 + 3*s**2)*(-3 + 0 + 1) + 4*s**2 + 0*s**2 - 3*s**2.
-47*s**2
Expand (-2*y + 3*y + y)*(-73 + 162 - 35)*(1 + 1 - 4).
-216*y
Expand -j**2 + 2*j**2 - 4*j**2 + (0*j + j - 6*j)*(-3*j + j - j) - j + j - 4*j**2.
8*j**2
Expand (-3*x + 0*x + 2*x)*((-1 + 4 - 4)*(4379 + 756 - 887) - 1 - 3 + 5).
4247*x
Expand (-4*k + 3*k - k)*(k**2 + 17*k**2 + 7*k**2) + (5*k - 3*k - k)*(-15*k**2 - 6*k**2 + 85*k**2) + 2*k**3 - 8*k**3 + 2*k**3.
10*k**3
Expand (-2 - 1 + 2 - 3 + 0 + 1 + (-2 + 1 + 0)*(-4 + 3 + 0) + 6 + 102 - 22)*(-36*d**2 - 2 + 5*d + 4*d**2 - d**2).
-2772*d**2 + 420*d - 168
Expand (-10*y**2 + 1166 - 1067 + 0*y**2)*(-4*y - 2*y + 4*y).
20*y**3 - 198*y
Expand -5*j**5 + 3*j**5 + 3*j**5 + (-5805*j**3 + 5805*j**3 - 60*j**4)*(6*j - j - 2*j + (-1 + 1 - 1)*(3*j - 2*j - 2*j) + j - 2*j + 0*j).
-179*j**5
Expand (16*s + 142 - 142)*(3*s - 3 + 3) + 1775*s**2 - 1619*s**2 + 2*s - 2*s.
204*s**2
Expand s**4 - 2*s + 2*s + (-2*s**3 + 2*s**3 + 3*s**3)*(3 - 3 - s) + 255267*s**2 + 264*s**4 - 255267*s**2.
262*s**4
Expand (6*d**2 + 2*d**2 - 84*d**2)*(-41 + 7 - 23).
4332*d**2
Expand 4*g**4 - 61 - 131 + 88 + (0*g - 2*g + 0*g)*(2*g**3 - 4*g**3 - 7*g**3).
22*g**4 - 104
Expand (-4 + 3 - 4)*(-13*u + 3*u - 2*u) + (0*u + 0*u + u)*(-4 - 2 + 4) + 5*u - 11*u - 9*u.
43*u
Expand (2*q**3 - 8*q**3 + 3*q**3)*(3 - 7 - 8) + (-6*q**2 + 10*q**2 + q**2)*(0*q + q - 2*q).
31*q**3
Expand -1 + 3*v**3 + 1 + (4 - 3*v - 4)*(1 + 2*v**2 - 1) - 4*v**3 - 42*v**2 + 39*v**2 + 2*v**3 + 2*v**3 - 2*v**2 + 2*v**2.
-3*v**3 - 3*v**2
Expand ((4 + 0 - 3)*(3*g + 0*g - 4*g) - g + 2 - 2 - 1698*g + 32442 - 32442)*(4*g - 2*g - g).
-1700*g**2
Expand (-3*f**3 + 3*f**3 + f**4 + (f**4 - f**4 + 2*f**4)*(-1 + 1 - 1))*((11 - 2 + 1)*(-2*f + 3*f + 4*f) - f + 3*f - 4*f).
-48*f**5
Expand (-1445*h + 591*h + 12*h)*(-7*h - 3 + 3).
5894*h**2
Expand -80*p**2 + 59*p**4 - 89*p**2 + 181*p**2 + (-p + p + p)*(-p**3 - p**3 + 4*p**3).
61*p**4 + 12*p**2
Expand (2*f**2 - f**2 - 2*f**2)*((6 - 2 - 3)*(-6 + 2 + 2) - 126 + 3 + 49).
76*f**2
Expand (15*x**3 + 485*x**3 - 76*x**3)*(0*x**2 + x**2 - 3*x**2) + 4*x**3 - x**5 - 4*x**3 + 5*x**5 + 0*x**5 - 4*x**5 - 15*x**5.
-863*x**5
Expand (-17556 - 11404 + 998 - 2990)*(i**5 - 4*i**5 + i**5).
61904*i**5
Expand (51 + 26 - 4 + 16 + 24)*(1113*i**2 + 605 - 605).
125769*i**2
Expand (51*z + 46 - 46)*(3351*z + z**2 - 3351*z - 68).
51*z**3 - 3468*z
Expand (-4*m + 2*m + 0*m)*(-44 + 19 - 8)*(-77*m**2 - 149 + 149).
-5082*m**3
Expand (3*q + 0*q - q)*((-24 + 16 - 9)*(20 - 1 + 4) + 1 - 2 + 2 + (2 + 0 - 4)*(3 + 2 - 4))*(-3 + 5 - 1)*(1 - 2 + 9).
-6272*q
Expand (-22 + 15 + 28)*(-58*o**2 + 65*o**2 + 2*o**3 + 2*o**3).
84*o**3 + 147*o**2
Expand (-125 + 250 - 122 + m)*(4 - 2*m - 4) + (-7*m + 2*m - m)*(-m - 4*m + 0*m).
28*m**2 - 6*m
Expand (4*i - 5*i + 3*i)*(-3 + 1 + 5) + ((-4 + 3 + 3)*(-1 + 1 - i) + (-1 + 3 + 0)*(-i + 3 - 3) - 44*i + 0 + 0)*(-6 + 2 + 2).
102*i
Expand (i**3 + 27*i**3 + 84*i**3 + 4*i - 4*i - 2*i**3 + (0*i**2 + i**2 - 2*i**2)*(-8 + 9*i + 8))*(i**2 + 0*i**2 + i**2).
202*i**5
Expand (-1 - 1 + 0)*(28*k + 184*k + 250*k) + 2 - 2 + 4*k.
-920*k
Expand (y - 5 + y + 7072*y**2 - 7074*y**2)*(-4 + 6 + 6).
-16*y**2 + 16*y - 40
Expand (-128 + 14*z + 128)*(-3*z + 4*z + 2*z)*(8 - 13*z**3 - 8).
-546*z**5
Expand (-80*z**3 - 38*z**3 - 8*z**3)*(-5*z**2 + 4*z**2 + 16*z**2 + 2*z**2 + 0*z + 0*z + 4*z**2 - 4*z**2 + z**2 + (0*z - 4*z + 3*z)*(3*z - z - 4*z)).
-2520*z**5
Expand (-118*y + 20*y**3 + 118*y)*(141*y + 217*y - 104*y).
5080*y**4
Expand (20 + 331 - 203)*(-3*n + 6*n - 2*n)*(-n**3 + n**3 - 2*n**3) - 5*n**4 - 7*n + 7*n + (-2 - n + 2)*(0*n + 0*n - n**3) - 2*n**4 + 0*n**4 - n**4.
-303*n**4
Expand (-68 + 8 + 30)*(-8*a + 19 - 19)*(2 + 2 - 2).
480*a
Expand (44*q**2 + 56*q**2 + 13*q**2)*((0 + 4 - 2)*(-q - 4*q + 4*q) - 2*q + 5*q - 4*q).
-339*q**3
Expand (-19 + 32 + 45)*(2*x + x - x - 5*x + 4*x + 3*x - 3*x - 3*x + 4*x + (4 + 0 - 3)*(-4*x + x + x) + 1 - 1 + x + x + 2 - 2)*(-6 + 0 + 0)*(-1 + 2*x + 1).
-1392*x**2
Expand (-153 + 43 + 60)*(-2*z**2 - 2*z**2 + 2*z**2)*(-8 + 119 - 10)*(0*z + 3*z - 2*z).
10100*z**3
Expand (-8*x + 7*x + 11*x)*(0*x + 0*x - x) + 3*x**2 - 4*x**2 + 3*x**2 - 3*x**2 - 4*x**2 + 2*x**2.
-13*x**2
Expand -30 + 15 + 13 - 53*l**2 + 2*l**2 + l**2 - l**2 + (-l**2 + l**2 - 3*l**2)*(3 - 5 + 0) - 2*l**2 - 1 + 1.
-47*l**2 - 2
Expand (0 + 6 - 2*f - 1)*(-14*f + 4*f - 11*f) - f**2 + 7*f**2 + 21 - 20.
48*f**2 - 105*f + 1
Expand (34*l**4 - 3 + 9*l**4 + 0*l**4)*(2 - 3 - 4)*(2 + 0 + 0)*(4 - 4 - l).
430*l**5 - 30*l
Expand (y**2 + 3*y - 3*y)*(2*y - 4*y + 6*y) + 1207*y**3 + 1433*y**3 + 487*y**3.
3131*y**3
Expand (-2*w + 2*w**2 + 2*w)*(-2 - 22 - 10) - 8*w**2 - 3 + 3 + (0*w + 3*w - 4*w)*(2 - 2 + 3*w) + w**2 + w - w.
-78*w** | {
"pile_set_name": "DM Mathematics"
} |
at is 570 minutes after 11:46 PM?
9:16 AM
What is 103 minutes after 5:15 AM?
6:58 AM
How many minutes are there between 8:52 PM and 5:19 AM?
507
What is 408 minutes after 11:30 PM?
6:18 AM
What is 424 minutes before 9:24 PM?
2:20 PM
What is 681 minutes before 2:29 AM?
3:08 PM
What is 386 minutes after 8:24 AM?
2:50 PM
How many minutes are there between 7:25 PM and 5:14 AM?
589
How many minutes are there between 8:49 AM and 6:34 PM?
585
What is 217 minutes before 12:07 AM?
8:30 PM
What is 457 minutes before 5:35 AM?
9:58 PM
What is 588 minutes before 1:46 PM?
3:58 AM
How many minutes are there between 2:18 PM and 9:14 PM?
416
How many minutes are there between 9:21 AM and 7:55 PM?
634
How many minutes are there between 9:35 PM and 10:35 PM?
60
How many minutes are there between 7:12 PM and 6:57 AM?
705
How many minutes are there between 9:52 PM and 10:45 PM?
53
How many minutes are there between 6:18 AM and 9:55 AM?
217
What is 610 minutes before 7:57 PM?
9:47 AM
How many minutes are there between 5:42 AM and 4:57 PM?
675
How many minutes are there between 4:30 PM and 7:59 PM?
209
What is 584 minutes after 9:32 AM?
7:16 PM
How many minutes are there between 9:45 PM and 5:57 AM?
492
How many minutes are there between 8:29 AM and 5:27 PM?
538
What is 454 minutes after 3:17 AM?
10:51 AM
How many minutes are there between 11:50 AM and 9:23 PM?
573
What is 60 minutes after 8:52 AM?
9:52 AM
What is 203 minutes before 11:06 PM?
7:43 PM
What is 4 minutes before 6:25 AM?
6:21 AM
What is 77 minutes after 12:00 PM?
1:17 PM
How many minutes are there between 10:28 AM and 8:01 PM?
573
What is 97 minutes before 8:05 AM?
6:28 AM
How many minutes are there between 6:17 AM and 10:17 AM?
240
What is 142 minutes before 9:26 AM?
7:04 AM
What is 535 minutes after 11:56 PM?
8:51 AM
What is 159 minutes before 7:28 PM?
4:49 PM
What is 538 minutes before 1:26 AM?
4:28 PM
How many minutes are there between 6:08 PM and 9:23 PM?
195
What is 587 minutes before 12:51 AM?
3:04 PM
What is 414 minutes after 1:04 PM?
7:58 PM
What is 123 minutes after 7:12 AM?
9:15 AM
What is 430 minutes after 3:12 AM?
10:22 AM
How many minutes are there between 5:02 AM and 8:06 AM?
184
What is 186 minutes before 1:03 PM?
9:57 AM
How many minutes are there between 5:40 AM and 10:29 AM?
289
How many minutes are there between 8:15 PM and 5:14 AM?
539
How many minutes are there between 10:25 AM and 12:46 PM?
141
How many minutes are there between 7:00 AM and 10:04 AM?
184
How many minutes are there between 11:13 PM and 9:43 AM?
630
How many minutes are there between 5:51 PM and 6:16 PM?
25
How many minutes are there between 8:34 AM and 10:34 AM?
120
What is 391 minutes before 6:53 PM?
12:22 PM
What is 52 minutes before 7:11 PM?
6:19 PM
What is 501 minutes after 6:18 AM?
2:39 PM
How many minutes are there between 3:24 AM and 5:27 AM?
123
How many minutes are there between 9:44 AM and 9:54 AM?
10
What is 98 minutes after 2:43 PM?
4:21 PM
How many minutes are there between 5:28 AM and 11:44 AM?
376
What is 617 minutes before 11:19 AM?
1:02 AM
What is 682 minutes after 2:28 PM?
1:50 AM
What is 38 minutes before 1:21 AM?
12:43 AM
How many minutes are there between 11:01 AM and 3:47 PM?
286
What is 685 minutes after 5:09 AM?
4:34 PM
How many minutes are there between 4:13 PM and 12:01 AM?
468
How many minutes are there between 9:41 AM and 3:47 PM?
366
What is 264 minutes before 7:16 AM?
2:52 AM
How many minutes are there between 4:00 PM and 6:47 PM?
167
How many minutes are there between 1:37 PM and 3:07 PM?
90
What is 293 minutes after 1:58 AM?
6:51 AM
What is 657 minutes after 10:58 AM?
9:55 PM
What is 318 minutes after 8:16 AM?
1:34 PM
What is 625 minutes after 8:50 AM?
7:15 PM
How many minutes are there between 8:11 AM and 12:54 PM?
283
How many minutes are there between 2:49 AM and 11:12 AM?
503
How many minutes are there between 9:22 PM and 12:53 AM?
211
How many minutes are there between 12:21 AM and 12:01 PM?
700
How many minutes are there between 12:50 PM and 3:35 PM?
165
What is 587 minutes after 11:06 AM?
8:53 PM
What is 578 minutes before 8:29 AM?
10:51 PM
How many minutes are there between 5:46 AM and 5:13 PM?
687
How many minutes are there between 3:56 AM and 5:18 AM?
82
What is 240 minutes after 6:32 AM?
10:32 AM
How many minutes are there between 11:58 AM and 7:02 PM?
424
How many minutes are there between 1:14 PM and 4:28 PM?
194
How many minutes are there between 5:54 PM and 3:27 AM?
573
What is 719 minutes before 7:20 AM?
7:21 PM
How many minutes are there between 10:59 AM and 12:56 PM?
117
How many minutes are there between 2:10 PM and 3:57 PM?
107
How many minutes are there between 11:21 AM and 6:22 PM?
421
How many minutes are there between 2:09 AM and 1:41 PM?
692
What is 672 minutes before 8:56 AM?
9:44 PM
How many minutes are there between 3:08 PM and 3:10 PM?
2
What is 557 minutes before 7:23 PM?
10:06 AM
What is 700 minutes before 12:55 PM?
1:15 AM
What is 481 minutes after 3:56 AM?
11:57 AM
How many minutes are there between 4:23 PM and 11:02 PM?
399
How many minutes are there between 5:58 AM and 6:08 AM?
10
What is 624 minutes after 6:16 PM?
4:40 AM
How many minutes are there between 6:08 AM and 8:59 AM?
171
What is 328 minutes before 10:42 PM?
5:14 PM
What is 71 minutes after 4:14 PM?
5:25 PM
What is 320 minutes after 12:34 PM?
5:54 PM
How many minutes are there between 8:28 PM and 3:28 AM?
420
What is 104 minutes before 12:02 AM?
10:18 PM
How many minutes are there between 4:15 AM and 9:11 AM?
296
How many minutes are there between 3:32 AM and 9:43 AM?
371
How many minutes are there between 12:46 PM and 7:42 PM?
416
What is 669 minutes before 8:25 PM?
9:16 AM
How many minutes are there between 5:16 PM and 6:08 PM?
52
What is 592 minutes after 11:50 AM?
9:42 PM
How many minutes are there between 8:49 AM and 2:48 PM?
359
How many minutes are there between 8:17 AM and 4:05 PM?
468
What is 543 minutes after 6:46 PM?
3:49 AM
What is 33 minutes before 12:41 AM?
12:08 AM
What is 104 minutes after 3:39 PM?
5:23 PM
How many minutes are there between 10:45 AM and 7:06 PM?
501
What is 609 minutes before 11:56 AM?
1:47 AM
What is 92 minutes after 4:09 PM?
5:41 PM
What is 176 minutes after 8:58 PM?
11:54 PM
How many minutes are there between 5:13 PM and 9:11 PM?
238
What is 121 minutes after 5:21 PM?
7:22 PM
How many minutes are there between 11:36 AM and 8:35 PM?
539
How many minutes are there between 8:29 AM and 5:41 PM?
552
How many minutes are there between 7:10 PM and 10:15 PM?
185
What is 616 minutes before 7:36 PM?
9:20 AM
How many minutes are there between 2:16 PM and 12:25 AM?
609
How many minutes are there between 3:23 PM and 10:35 PM?
432
How many minutes are there between 1:46 AM and 2:11 AM?
25
What is 328 minutes after 11:10 PM?
4:38 AM
What is 359 minutes after 1:54 AM?
7:53 AM
What is 315 minutes after 7:00 PM?
12:15 AM
How many minutes are there between 7:35 AM and 4:15 PM?
520
What is 618 minutes before 6:37 AM?
8:19 PM
How many minutes are there between 6:18 PM and 12:29 AM?
371
How many minutes are there between 3:54 AM and 5:23 AM?
89
What is 136 minutes before 2:21 AM?
12:05 AM
How many minutes are there between 1:37 AM and 7:02 AM?
325
What is 235 minutes after 4:54 AM?
8:49 AM
How many minutes are there between 7:18 AM and 8:20 AM?
62
What is 165 minutes before 2:22 AM?
11:37 PM
What is 277 minutes before 12:04 PM?
7:27 AM
What is 634 minutes before 4:58 AM?
6:24 PM
How many minutes are there between 2:26 PM and 1:31 AM?
665
What is 710 minutes after 10:38 AM?
10:28 PM
How many minutes are there between 8:01 AM and 12:12 PM?
251
How many minutes are there between 5:02 PM and 2:34 AM?
572
How many minutes are there between 10:48 AM and 2:02 PM?
194
What is 132 minutes after 9:22 PM?
11:34 PM
What is 296 minutes before 9:52 AM?
4:56 AM
What is 360 minutes before 9:21 PM?
3:21 PM
What is 197 minutes before 5:18 AM?
2:01 AM
What is 202 minutes after 9:59 PM?
1:21 AM
How many minutes are there between 5:21 PM and 2:05 AM?
524
How many minutes are there between 5:32 PM and 12:31 AM?
419
What is 309 minutes before 5:33 AM?
12:24 AM
How many minutes are there between 8:36 PM and 12:47 AM?
251
How many minutes are there between 5:32 PM and 3:39 AM?
607
What is 186 mi | {
"pile_set_name": "DM Mathematics"
} |
-138222001
-6
Divide 132 by -4964.
-33/1241
What is -47 divided by 401115?
-47/401115
Divide -705614 by -50401.
14
What is -83408868 divided by -27802956?
3
Divide -96672740 by 955.
-101228
259 divided by 7740
259/7740
Calculate -110727225 divided by 24045.
-4605
20515 divided by 789
20515/789
What is -1972425 divided by -1785?
1105
Calculate -2877729 divided by -2099.
1371
Calculate 11588934 divided by -48693.
-238
2745317 divided by 48
2745317/48
-61668090 divided by 6
-10278015
Divide -897152 by 139.
-897152/139
What is 90605937 divided by -30201979?
-3
Calculate 109283 divided by -855.
-109283/855
What is 377145 divided by 75?
25143/5
Calculate -58492975 divided by 2339719.
-25
-53409350 divided by 5
-10681870
What is -5545393 divided by -7?
792199
Divide 3896478770 by -5.
-779295754
-255262825 divided by 79
-3231175
-1 divided by 337673059
-1/337673059
Divide -14103132 by 5.
-14103132/5
Calculate -439003079 divided by 113.
-3884983
8250445 divided by 277
29785
-3687800 divided by 18439
-200
What is 226397458 divided by -113198729?
-2
Divide 74270412 by 3.
24756804
Divide 55452732 by 55452732.
1
What is 2955854 divided by -638?
-4633
750 divided by 163900
15/3278
-712053 divided by -28
712053/28
Calculate 2623168 divided by 327896.
8
What is -2215663 divided by 31?
-71473
Divide -19691298 by -4.
9845649/2
Calculate -69785800 divided by 1246175.
-56
What is -11950800 divided by 5?
-2390160
Divide -265650 by 1288.
-825/4
Calculate -23520 divided by 157.
-23520/157
Divide 59987346 by -29993673.
-2
-603315362 divided by 635738
-949
What is 85201734 divided by 3?
28400578
Divide 75547602 by 968559.
78
Calculate 3948738 divided by 4.
1974369/2
What is 194306940 divided by 4?
48576735
Divide 57378916 by 2773.
20692
What is 3896084 divided by -1948042?
-2
-556191 divided by 261
-2131
What is -1550723 divided by 23?
-1550723/23
Calculate -80736116 divided by 58.
-1392002
Divide 742092210 by -306270.
-2423
What is 6452950 divided by 4475?
1442
Calculate -832226276 divided by 2.
-416113138
Divide 3779360 by 208.
18170
-43427508 divided by 4
-10856877
Calculate -1 divided by -5123773.
1/5123773
Calculate 2199568 divided by -164.
-13412
What is -19155396 divided by -17?
1126788
Calculate -12732432 divided by -55844.
228
Calculate 25915824 divided by -261776.
-99
What is -5400748 divided by 1?
-5400748
Divide -15 by -463711.
15/463711
Calculate 247976732 divided by 337.
735836
Divide 1061852 by 42.
530926/21
Divide 775979 by 36.
775979/36
Calculate -1653790446 divided by -2.
826895223
5961 divided by -1179
-1987/393
Calculate -49 divided by 145591.
-49/145591
What is 186114824 divided by 6003704?
31
Calculate 15862680 divided by 120.
132189
What is 1 divided by -19578454?
-1/19578454
Divide -159 by -30974.
159/30974
Calculate 5 divided by 176805.
1/35361
Calculate 412391 divided by 1.
412391
11 divided by 30745821
11/30745821
Divide -4965792 by -1241448.
4
Calculate -7541840 divided by 1508368.
-5
Calculate 573819 divided by -13.
-573819/13
What is 370 divided by -32592?
-185/16296
Divide 2 by -1138691.
-2/1138691
Calculate 3 divided by 113101024.
3/113101024
Calculate -7505116 divided by 1604.
-4679
Divide -279814 by 16.
-139907/8
What is -3015263290 divided by 5?
-603052658
0 divided by -8393154
0
What is -29 divided by -551418?
29/551418
-94536927 divided by 4383
-21569
What is -98 divided by 1084575?
-98/1084575
27 divided by 4112519
27/4112519
Calculate 116932046 divided by -22.
-5315093
What is 4837060 divided by 1209265?
4
What is 111 divided by -6743664?
-37/2247888
Divide 9138913 by 1305559.
7
Divide -108333814 by -54166907.
2
Divide 41704435 by 41704435.
1
What is -16151932 divided by -8075966?
2
What is -81128893 divided by 1?
-81128893
Divide -37875320 by -3706.
10220
What is 18214 divided by -156?
-9107/78
-955539 divided by 365
-955539/365
-2527 divided by -62222
2527/62222
Divide -17588 by 49.
-17588/49
Divide 93217 by -251.
-93217/251
Calculate -917196 divided by -84.
10919
Calculate -12078917 divided by -3.
12078917/3
Calculate -26395117 divided by 3770731.
-7
What is 7318 divided by 285?
7318/285
Calculate -273378 divided by -55.
273378/55
Calculate 268063906 divided by 1733.
154682
What is -323 divided by -2981822?
17/156938
445952 divided by -1
-445952
Calculate -4 divided by -16067994.
2/8033997
Divide 2309440 by -16496.
-140
Divide -51494 by 86.
-25747/43
-21324072 divided by -1694
12588
What is 33395391 divided by -258879?
-129
Calculate 286316928 divided by -8128.
-35226
Divide 71268126 by 38.
1875477
-41425 divided by -279
41425/279
-109843290 divided by 405
-271218
Calculate -2 divided by -4259308.
1/2129654
What is -34 divided by 235937?
-34/235937
Calculate 0 divided by -53157811.
0
What is -11901344 divided by -488?
24388
56240932 divided by 18
28120466/9
Calculate 43193508 divided by 14397836.
3
Calculate -140983485 divided by 46994495.
-3
100019136 divided by -3
-33339712
Divide -3 by -85087339.
3/85087339
639511 divided by -8
-639511/8
Divide 2004 by 174657.
668/58219
Calculate -28521578 divided by -14260789.
2
What is 10100628 divided by -18?
-561146
Calculate -190110024 divided by 15842502.
-12
Divide -96958 by -1.
96958
Calculate 448884312 divided by 3.
149628104
Divide -4853911 by 255469.
-19
Calculate -93122300 divided by 2060.
-45205
25546581 divided by -639
-39979
What is -128393404 divided by -32098351?
4
-920 divided by 27371
-920/27371
Divide -72 by -6245368.
9/780671
What is 20333724 divided by 5757?
3532
Divide 51063 by -276.
-17021/92
Calculate -988733852 divided by -2.
494366926
Divide -2328006 by 22.
-1164003/11
Calculate 502664165 divided by -3373585.
-149
What is 4 divided by 10437418?
2/5218709
Calculate -39959128 divided by -2.
19979564
What is 885990 divided by -14?
-63285
Divide -660482 by 249.
-660482/249
What is 0 divided by 53795684?
0
Calculate 232184399 divided by -4.
-232184399/4
Divide 150 by 93239.
150/93239
Calculate 6078960 divided by -360.
-16886
-210340668 divided by -93986
2238
Calculate -205964682 divided by -316382.
651
Calculate 923907 divided by -689.
-923907/689
What is 4558 divided by 13831?
4558/13831
Divide 82 by 1447007.
82/1447007
Calculate 56746842 divided by 2.
28373421
Calculate 2 divided by -17800865.
-2/17800865
What is -109348 divided by -3880?
27337/970
Divide -1923613464 by 6.
-320602244
What is 557 divided by -17801?
-557/17801
-20847224 divided by -2
10423612
Calculate -35268174 divided by 6.
-5878029
488499984 divided by -2531088
-193
What is -2560902 divided by 2?
-1280451
Divide 0 by 3244794.
0
Divide 7031377 by -17.
-7031377/17
Divide -2 by -4850930.
1/2425465
Divide 7897240 by -4.
-1974310
What is 161734899 divided by -161734899?
-1
-556 divided by -110768
139/27692
Calculate 3174 divided by -61.
-3174/61
1961394 divided by 233
8418
-496 divided by -45426
248/22713
What is 33744 divided by 7?
33744/7
Calculate 5587 divided by 1728.
5587/1728
Divide 437 by 1196.
19/52
What is -2 divided by -7674369?
2/7674369
Divide 16425105 by -1095007.
-15
What is 580 divided by -28361?
-580/28361
193096980 divided by 6
32182830
What is 72707724 divided by -9?
-8078636
-27 divided by 29937761
-27/29937761
What is 13242495 divided by 4414165?
3
Calculate 26379 divided by -25550.
-26379/25550
180865672 divided by 2858
63284
What is -12 divided by 29262?
-2/4877
29112211 divided by 21677
1343
What is -143813724 divided by 5?
-143813724/5
What is 7628 divided by 176?
1907/44
-20268 divided by 1289
-20268/1289
6119814 divided by 1
6119814
Calculate -2804490 divided by 18.
-155805
-6 divided by 57389978
-3/28694989
Calculate 1441083950 divided by 2.
720541975
Calculate -41 divided by 943623.
-41/943623
-3 divided by 1266915
-1/422305
Divide -417824595 by -592659.
705
2 divided by -446148268
-1/223074134
Calculate -2322740 divided by 28.
-82955
What is 3 divided by 3860912?
3/3860912
-24 divided by 12450005
-24/12450005
-599573 divided by -22
599573/22
What is -1 divided by 1058532?
-1/1058532
Calculate -6 divided by 41558738.
-3/20779369
Divide 71842508 by -17774.
-4042
3267 divided by 2731
3267/2731
-120608 divided by 173
-120608/173
1234580852 divided by 4
308645213
76116516 divided by -28
-2718447
Calculate -161466665 divided by 4.
-161466665/4
Calculate -975132 divided by -10 | {
"pile_set_name": "DM Mathematics"
} |
rounded to the nearest ten thousand?
21290000
What is -368082.3556 rounded to the nearest ten?
-368080
Round -0.000001127519808 to seven dps.
-0.0000011
What is -866507.44 rounded to the nearest one million?
-1000000
Round 0.150333701 to 5 dps.
0.15033
What is 1703817.124 rounded to the nearest 10000?
1700000
Round -0.03837681349 to five dps.
-0.03838
What is -20169.2063 rounded to the nearest one hundred?
-20200
What is 0.0000005740126 rounded to 7 dps?
0.0000006
What is 0.368910432 rounded to 2 dps?
0.37
What is 323116.5407 rounded to the nearest 100?
323100
Round 496.131838 to the nearest one hundred.
500
What is -0.00080791227 rounded to seven decimal places?
-0.0008079
Round -0.00609585508 to three dps.
-0.006
Round 3268694.74 to the nearest 10000.
3270000
Round 0.000000583544964 to six dps.
0.000001
Round 11304.8925 to the nearest 10.
11300
What is 1955946.38 rounded to the nearest one hundred?
1955900
Round 142092730 to the nearest 10000.
142090000
What is 2128728.1 rounded to the nearest one hundred thousand?
2100000
Round 0.000105010877 to 5 decimal places.
0.00011
What is -0.000000177755692 rounded to seven decimal places?
-0.0000002
What is -107412308 rounded to the nearest 1000000?
-107000000
What is 0.0187467143 rounded to 5 decimal places?
0.01875
Round -606.599868 to two decimal places.
-606.6
What is -2413647.95 rounded to the nearest 1000000?
-2000000
What is -874308.14 rounded to the nearest 1000?
-874000
Round -0.0088329933 to 3 dps.
-0.009
What is 0.000239286292 rounded to seven dps?
0.0002393
Round -0.00559819648 to seven dps.
-0.0055982
Round -2083702720 to the nearest one hundred thousand.
-2083700000
Round -7.72018525 to one dp.
-7.7
What is -0.0000227842578 rounded to seven decimal places?
-0.0000228
Round -0.000061400483 to seven decimal places.
-0.0000614
What is -13.5646943 rounded to one dp?
-13.6
What is 39856.178 rounded to the nearest ten?
39860
Round 0.0245052564 to 3 decimal places.
0.025
Round 1231.472606 to the nearest integer.
1231
Round -0.000012664143 to 6 dps.
-0.000013
Round 36.4114224 to 3 decimal places.
36.411
Round 0.043919778 to 3 dps.
0.044
What is -1.045365033 rounded to 4 decimal places?
-1.0454
What is 1264170.1 rounded to the nearest 1000?
1264000
What is 0.039692134 rounded to three decimal places?
0.04
What is -4.2099198 rounded to one decimal place?
-4.2
Round 9458151900 to the nearest one million.
9458000000
Round -13.0579423 to one dp.
-13.1
Round -1463361930 to the nearest 1000000.
-1463000000
Round -427.900561 to the nearest ten.
-430
What is -0.0498376569 rounded to 4 decimal places?
-0.0498
Round -11.17088037 to zero dps.
-11
Round -2.2852104 to 2 decimal places.
-2.29
What is -8206952600 rounded to the nearest one million?
-8207000000
What is -1980426876 rounded to the nearest 1000000?
-1980000000
Round -3752404640 to the nearest one hundred thousand.
-3752400000
What is 395725310 rounded to the nearest one million?
396000000
Round -0.021598548 to 5 decimal places.
-0.0216
Round 13750.5008 to the nearest ten.
13750
Round -3.87464722 to 0 decimal places.
-4
Round 1.481961072 to four dps.
1.482
Round 0.0108255326 to seven decimal places.
0.0108255
What is -249328.426 rounded to the nearest one hundred?
-249300
Round -0.000001064899387 to seven dps.
-0.0000011
What is 0.00824829519 rounded to five dps?
0.00825
Round -1229.50775 to the nearest 100.
-1200
Round 0.00001920216615 to 7 dps.
0.0000192
What is 0.33343501 rounded to 1 dp?
0.3
Round -23.6821762 to one dp.
-23.7
What is -4.04112962 rounded to two dps?
-4.04
What is -3320.7981 rounded to the nearest integer?
-3321
What is -68.6886065 rounded to 1 decimal place?
-68.7
What is 43973.872 rounded to the nearest 1000?
44000
What is 6881.0402 rounded to the nearest 100?
6900
Round 5645.1093 to the nearest one thousand.
6000
Round 0.00320492992 to 7 decimal places.
0.0032049
What is -23.2196407 rounded to one dp?
-23.2
Round 20.3771611 to 1 dp.
20.4
Round 5374.338 to the nearest 10.
5370
What is -6118331.8 rounded to the nearest ten thousand?
-6120000
What is -3604.38736 rounded to 0 decimal places?
-3604
Round 147.816156 to one dp.
147.8
Round -0.036482765 to four decimal places.
-0.0365
Round -0.00002408033 to five dps.
-0.00002
What is -30.5296836 rounded to the nearest integer?
-31
Round 29.655661 to zero decimal places.
30
Round 356373.4408 to the nearest one hundred thousand.
400000
Round -26050495.4 to the nearest 100000.
-26100000
Round 0.001122765853 to six decimal places.
0.001123
What is 0.00004124192096 rounded to six decimal places?
0.000041
Round 220.929656 to one decimal place.
220.9
Round 26164113 to the nearest 100000.
26200000
Round 0.0048476749 to 5 dps.
0.00485
Round 0.0063050678 to 3 decimal places.
0.006
Round 0.000148088422 to 5 decimal places.
0.00015
Round 110329.2597 to the nearest 10000.
110000
What is 5702.2965 rounded to the nearest one hundred?
5700
Round 1601.0656134 to the nearest 100.
1600
Round 20.3011051 to zero dps.
20
Round -4831297104 to the nearest 100000.
-4831300000
Round 0.90320301 to three decimal places.
0.903
What is 0.0116430459 rounded to five decimal places?
0.01164
What is -242429.619 rounded to the nearest 10?
-242430
What is -21062287 rounded to the nearest 100000?
-21100000
What is 0.00039103476 rounded to four dps?
0.0004
What is 0.0166802398 rounded to five dps?
0.01668
What is 83.0812309 rounded to the nearest ten?
80
What is 31656491 rounded to the nearest one million?
32000000
What is 646.75235 rounded to the nearest 100?
600
What is -0.00003985256418 rounded to 7 dps?
-0.0000399
What is -0.00000170161848 rounded to seven decimal places?
-0.0000017
What is -58656.02002 rounded to the nearest 1000?
-59000
Round -0.0033765498 to four dps.
-0.0034
What is 0.0001570178771 rounded to six decimal places?
0.000157
What is -32.137309772 rounded to the nearest integer?
-32
What is -1276530.4539 rounded to the nearest 100?
-1276500
What is -0.044636115 rounded to 3 dps?
-0.045
Round 70724.16064 to the nearest 10000.
70000
What is -0.184878295 rounded to five decimal places?
-0.18488
What is -7.6262156 rounded to two decimal places?
-7.63
What is 0.000094757366 rounded to six dps?
0.000095
Round 13.6513639 to 1 dp.
13.7
Round 0.0136309045 to four dps.
0.0136
Round -5227291710 to the nearest 1000000.
-5227000000
Round 408.623659 to the nearest one hundred.
400
Round 5.7346216 to two dps.
5.73
Round 0.00000611338 to four decimal places.
0
Round -6.82766478 to zero dps.
-7
Round -1.244688397 to 3 dps.
-1.245
What is 1171528457.7 rounded to the nearest 10000?
1171530000
What is -0.00000580475545 rounded to six dps?
-0.000006
Round 0.39521181 to three dps.
0.395
Round 0.01529005372 to three dps.
0.015
What is 757.8259584 rounded to the nearest one hundred?
800
Round 333631.79 to the nearest one hundred.
333600
What is 1.35950694 rounded to 1 dp?
1.4
What is -598.97274 rounded to 1 dp?
-599
What is 0.000067532876 rounded to seven decimal places?
0.0000675
Round 0.000116264448 to seven decimal places.
0.0001163
Round -8.376526 to zero decimal places.
-8
What is 0.025210594 rounded to 4 dps?
0.0252
What is -0.017420575 rounded to 3 decimal places?
-0.017
Round 0.0000669103757 to 6 dps.
0.000067
What is 0.077290511 rounded to two decimal places?
0.08
What is 1394396.45 rounded to the nearest 100?
1394400
Round -0.0000008814232 to 7 dps.
-0.0000009
Round -6.4569327 to 3 dps.
-6.457
Round 247.5496977 to 2 dps.
247.55
Round 514567.144 to the nearest 10000.
510000
Round 19289696900 to the nearest one million.
19290000000
Round 0.0021601806 to 4 dps.
0.0022
What is 30141480500 rounded to the nearest 1000000?
30141000000
What is 0.0031310073 rounded to 6 dps?
0.003131
What is -5174580802 rounded to the nearest 1000000?
-5175000000
What is -84.59266195 rounded to 2 dps?
-84.59
Round -12738218 to the nearest 10000.
-12740000
Round -0.00001404619085 to six decimal places.
-0.000014
What is -0.0306205 rounded to 2 decimal places?
-0.03
Round 62.572097 to the nearest ten.
60
Round -1314.672305 to the nearest integer.
-1315
What is -0.05236527634 rounded to 6 decimal places?
-0.052365
Round 0.00730553635 to 4 dps.
0.0073
What is -0.001898994151 rounded to 7 decimal places?
-0.001899
What is -1.46896248 roun | {
"pile_set_name": "DM Mathematics"
} |
**6 + 0*f**2. Find the second derivative of h(o) wrt o.
24*o**2
Let b = 14 - 9. Suppose -3*w = -k + 2, -b*k + w + 10 = 5*w. What is the first derivative of n**4 + 0*n**4 - 1 - k*n**4 wrt n?
-4*n**3
Let q be (2/3)/((-6)/(-27)). Let m(d) be the first derivative of -2/3*d**q + 0*d**2 + 3/4*d**4 + 0*d + 1. What is the third derivative of m(c) wrt c?
18
Let h be 1 + (-1 - 16/(-4)). Differentiate h*y + 1 + 1 + 2 - 10*y wrt y.
-6
Suppose 2*a - 3*u = 8, u + 12 + 0 = 3*a. Let p(y) be the first derivative of 1 - 1/2*y**a - 2/3*y**3 + 0*y**2 + 0*y. Find the third derivative of p(h) wrt h.
-12
Let b(o) = -15*o**3 + 3*o**2 + 14*o - 3. Let u(l) = -16*l**3 + 4*l**2 + 15*l - 4. Let h(x) = -4*b(x) + 3*u(x). What is the second derivative of h(a) wrt a?
72*a
Let u(k) be the third derivative of -k**5/20 + k**4/6 + k**2. What is the second derivative of u(g) wrt g?
-6
Let y(c) be the third derivative of c**6/15 + c**4/24 + 3*c**2. Find the second derivative of y(h) wrt h.
48*h
Let y be 1 + (-2)/6*-9. What is the second derivative of -6*d - 5*d**2 + 6*d**2 + y*d**2 wrt d?
10
What is the derivative of -2 + 4 + 0 - 3 + 6*k**2 wrt k?
12*k
Let h(s) be the first derivative of -5*s**4/4 - 7*s - 1. Find the first derivative of h(p) wrt p.
-15*p**2
Let n = 35 - 35. Let q(z) be the third derivative of 0*z**3 + 3*z**2 + 0*z**5 + 0*z + 1/12*z**4 - 1/40*z**6 + n. What is the second derivative of q(l) wrt l?
-18*l
Let b(o) be the second derivative of 3*o**6/10 + 5*o**2 - 12*o. Find the first derivative of b(v) wrt v.
36*v**3
What is the third derivative of 9*g**2 - 3*g**4 + g**2 - 6*g**4 + 16*g**4 wrt g?
168*g
Let v(w) = 2*w**4 - 4*w**3 + 11*w**2 - 4. Let o(m) = 3*m**4 - 3*m**3 + 11*m**2 - 3. Let r(n) = 4*o(n) - 3*v(n). Find the third derivative of r(k) wrt k.
144*k
Let r(f) be the first derivative of 25*f**4/4 - 23*f - 12. Differentiate r(x) with respect to x.
75*x**2
Let t(f) = -8*f**2 - 1. Let z be t(1). Let b(p) = p**3 + 9*p**2 + 4. Let d be b(z). Find the third derivative of 3*s**4 - 3*s**d + 2*s**5 - s**2 wrt s.
120*s**2
Let y(n) be the third derivative of -5/336*n**8 - 2*n**2 + 0*n**7 + 0*n**4 + 0*n**3 - 1/15*n**5 + 0*n**6 + 0*n + 0. Find the third derivative of y(z) wrt z.
-300*z**2
Let d(q) = -53*q + 22. Let g(r) = 51*r - 22. Let v(p) = 5*d(p) + 6*g(p). Find the first derivative of v(i) wrt i.
41
What is the second derivative of -10 + 3*j**4 + 10 - 9*j + 3*j**4 wrt j?
72*j**2
Find the second derivative of -3*g - 17*g**2 + 2*g**2 - 5*g + 13*g wrt g.
-30
Let x(h) be the third derivative of -2*h**6/15 + 13*h**3/6 - 9*h**2. Differentiate x(v) with respect to v.
-48*v**2
Let y be (8/(-10))/(3/(-45)). Suppose 0 = -2*m - 2*m + y. What is the third derivative of 3*f**4 - 2*f**2 + m*f**4 - 5*f**4 wrt f?
24*f
Let n be (1 + 0)*(-18)/(-54). Let z(q) be the second derivative of 0 + 1/12*q**4 + 0*q**2 + n*q**3 - q. What is the second derivative of z(j) wrt j?
2
Let z(i) = -7*i**4 + 3*i. Let f = 8 - 10. Let v(u) = 6*u**4 - 3*u. Let d(b) = f*z(b) - 3*v(b). What is the second derivative of d(k) wrt k?
-48*k**2
Find the second derivative of 32*o - 229*o**5 + 427*o**5 - 216*o**5 wrt o.
-360*o**3
Let c = -2 + 8. Let g(v) = -7*v**4 - 6*v**3 - v. Let h(z) = z**4 + z**3. Let i(b) = c*h(b) + g(b). What is the second derivative of i(a) wrt a?
-12*a**2
Suppose 5*a - 3*r - 25 = 0, -4*a - 6 = -2*a + 2*r. What is the second derivative of k - a*k**4 + k - 2*k**3 + 2*k**3 wrt k?
-24*k**2
Suppose 0*i = -3*i - 3, 8 = q - 3*i. Suppose q*h = 12 + 3. What is the first derivative of -h + 0*a - 7*a**2 + 10*a**2 + 0*a wrt a?
6*a
Let s(n) be the second derivative of 7/6*n**3 + 5/12*n**4 + 0*n**2 + 0 + 5*n. What is the second derivative of s(j) wrt j?
10
Let w be -1 + 8*2/4. What is the derivative of -7*u**3 + 2 - 1 + 9*u**w wrt u?
6*u**2
What is the third derivative of 3*b - 79*b**2 - 23*b**6 + 74*b**2 - 8*b wrt b?
-2760*b**3
Let y(j) = j**2 + 2*j - 1. Let w be 2/4*(-3 - 3). Let v be y(w). Differentiate -8*b - v*b**2 + 8*b + 1 wrt b.
-4*b
Let g(w) be the second derivative of 0 + 8*w + 0*w**5 - 1/3*w**3 + 0*w**2 + 0*w**4 - 2/15*w**6. What is the second derivative of g(i) wrt i?
-48*i**2
Let f(s) be the first derivative of -2*s**7/21 - s**3/2 - 3*s + 2. Let a(h) be the first derivative of f(h). Find the second derivative of a(z) wrt z.
-80*z**3
Let n(p) = -6*p**3 + 5*p**2 + 5*p + 6. Let u(j) = -5*j**3 + 4*j**2 + 4*j + 5. Let b = -2 - -7. Let v(f) = b*u(f) - 4*n(f). What is the derivative of v(w) wrt w?
-3*w**2
Let i(n) = 11*n**3 + 5*n**2 + 9*n + 5. Let h(s) = 12*s**3 + 6*s**2 + 8*s + 6. Let c(d) = 5*h(d) - 6*i(d). What is the second derivative of c(o) wrt o?
-36*o
What is the third derivative of -18*v**5 - 28*v**2 - 13*v**5 + 63*v**5 wrt v?
1920*v**2
Let y(p) = -5*p**4 - 4*p**3 - 5. Let m(v) = -14*v**4 - 11*v**3 - 15. Let q(u) = 4*m(u) - 11*y(u). Differentiate q(x) with respect to x.
-4*x**3
Let x(s) be the third derivative of -s**7/1008 - s**6/720 + 2*s**5/15 + 5*s**2. Let j(q) be the third derivative of x(q). What is the derivative of j(o) wrt o?
-5
Let p be 3/(2*2/16). Suppose -2*r - r = -p. What is the derivative of 4*o - r - o + 0*o wrt o?
3
Let n be (1 - 2)/((-10)/(-4) + -3). Let h(x) = x**3 - 6*x**2 + 2. Let a be h(6). Find the third derivative of t**n - 10 - t**3 + 10 - a*t**2 wrt t.
-6
Let h(p) be the first derivative of 3*p**5/5 - 3*p + 5. Differentiate h(m) with respect to m.
12*m**3
Find the third derivative of 6*d**5 + 13*d**6 + 5*d**6 - 9*d**2 - 6*d**5 wrt d.
2160*d**3
Let y(x) = -4*x - 5. Let k(q) = -q - 1. Let t(j) = -3*k(j) - y(j). Find the first derivative of t(c) wrt c.
7
Let r(k) = -2*k - 2. Let n(v) = -v - 1. Let m(b) = -8*n(b) + 3*r(b). Let q(c) = -c**4 - 3*c + 7*c - 3*c. Let u(a) = m(a) - 2*q(a). Differentiate u(h) wrt h.
8*h**3
Let j = -54 - -58. Let o(r) be the first derivative of 1 + 0*r**j + 3*r + 2/5*r**5 + 0*r**3 + 0*r**2. What is the derivative of o(z) wrt z?
8*z**3
Let g = 1 - 7. Let a(u) = 5*u**3 - 8*u**2 + 6*u. Let o(y) = y**2 - y**3 + 3 - 3 - y. Let d(f) = g*o(f) - a(f). Find the third derivative of d(s) wrt s.
6
Let i(l) = -l**3 + l**2 + l + 1. Let t(d) = 9*d**3 - 5*d - 5. Let h(k) = 5*i(k) + t(k). What is the third derivative of h(b) wrt b?
24
Let b(s) be the first derivative of 27*s**5/5 + 35*s - 24. What is the first derivative of b(y) wrt y?
108*y**3
What is the second derivative of -44*b**3 - 25*b + 19*b**3 + 21*b**3 wrt b?
-24*b
Let j(d) be the first derivative of 11*d**3/3 + 18*d + 18. What is the derivative of j(h) wrt h?
22*h
Let l(w) be the third derivative of -w**2 + 0 - 1/120*w**6 + 0*w**5 - 1/12*w**4 + 0*w**3 + 0*w. What is the second derivative of l(u) wrt u?
-6*u
Let h(y) = y**2 + 6*y - 4. Let k be (7/4)/((-3)/12). Let t be h(k). What is the second derivative of s + t*s**2 - 2*s - 5*s**2 wrt s?
-4
Let u be (4/1)/(-5 + 7). Let t = 2 + 0. What is the third derivative of -32*n + 32*n - 2*n**3 - t*n**u wrt n?
-12
Let c = -6 - -10. Differentiate 2 + 0*d**3 - d**3 - c*d**3 with respect to d.
-15*d**2
Let n be 1 - (2 + -2)/(-3). Let g(q) = 2*q**2 - q + 1. Let a be g(n). Find the second derivative of h - a*h + 4*h**2 - 3*h**2 wrt h.
2
Suppose -4*y - 5*k + 4 = 0, 3*y - k - 9 = 13. Suppose -3*a + 12 = 3*a. Find the second derivative of -o**5 - a*o**5 + y*o - 2*o - o**5 wrt o.
-80*o**3
Let u(b) be the third derivative of 1/3*b**3 + 0*b + 0 + 1/24*b**4 - 3*b**2. What is the first derivative of u(g) wrt g?
1
Let g(i) = 10*i**3 - 5*i**2 - 5*i - 3. Let p(x) = -10*x**3 + 4*x**2 + 4*x + 4. Let j(c) = 4*g(c) + 5*p(c). What is the first derivative of j(v) wrt v?
-30*v**2
Let d(q) be the first derivative of 0*q**2 + 3*q + 2 + 1/4*q**4 + 0*q**3. What is the derivative of d(v) wrt v?
3*v**2
Let z(h) be the third derivative of 4*h**5/15 + h**4 - 4*h**2. Find the second derivative of z(o) wrt o.
32
Let m(b) be the second derivative of b**7/14 + b**3/2 - 10*b. Find the second derivative of m(k) wrt k.
60*k**3
Let u(n) be the third derivative of 0*n**4 + 0*n**3 + 0*n + 0*n**6 + 0 - 1/60*n**5 + 1/210*n**7 - 4*n**2. What is the third derivative of u(x) wrt x?
24*x
Suppose 13*g = 16*g - 15. Let r(o) be the first derivative of -2*o + 0*o**2 + 0*o**3 - 1/5*o**g + 0*o**4 - 2. Differentiate r(b) with respect to b.
-4*b**3
Suppose -2*s = z - 2*z + 6, 5*z + 3*s - 4 = 0. Suppose 0 = -3*f + 6 | {
"pile_set_name": "DM Mathematics"
} |
d derivative of j(i). Differentiate c(l) wrt l.
-39*l**2
Let h(o) be the first derivative of 169*o**4/2 - 219*o**2 - 2*o - 484. Find the second derivative of h(m) wrt m.
2028*m
Let x(n) be the first derivative of 0*n**2 - 3*n - 12 - 22/3*n**3. Differentiate x(y) wrt y.
-44*y
Let d(a) be the second derivative of 21*a + 0*a**2 + 4*a**3 - 11/12*a**4 + 0. What is the second derivative of d(t) wrt t?
-22
Let z(u) = 4. Let n(y) = 8*y + 130. Let f(s) = n(s) + z(s). What is the first derivative of f(i) wrt i?
8
Let g be ((-15)/10)/((-1)/2). Let t = -8 + 8. What is the third derivative of -x**6 + t*x**2 + g*x**2 - 3*x**2 - 2*x**2 wrt x?
-120*x**3
Let q = 139 - 133. Let o(n) = -48*n**3 + 6*n**2 - 6*n + 9. Let f(a) = -a**3 + a**2 - a. Let w(k) = q*f(k) - o(k). Differentiate w(x) with respect to x.
126*x**2
Let a = 38 + -26. Suppose 5*x = 2*x + a. Find the first derivative of 6*d**3 - x*d**3 + 0*d**3 - 6 wrt d.
6*d**2
Let z = 2 + -2. Suppose y + z - 5 = 0. Find the third derivative of -2*j**3 + 2*j**3 - 16*j**4 + 18*j**4 + y*j**2 wrt j.
48*j
Let c(v) = -161*v**4 + 2*v**2 + 13*v - 13. Let l(g) = 81*g**4 - g**2 - 7*g + 7. Let i(p) = -3*c(p) - 5*l(p). What is the second derivative of i(q) wrt q?
936*q**2 - 2
Let h(j) = -1407*j**4 + 7*j**2 - 8*j - 358. Let y(z) = 937*z**4 - 5*z**2 + 6*z + 239. Let x(r) = -5*h(r) - 7*y(r). What is the second derivative of x(u) wrt u?
5712*u**2
Let p(l) be the first derivative of l**5/12 - 7*l**4/24 - 8*l**3 - 20. Let i(y) be the third derivative of p(y). What is the derivative of i(j) wrt j?
10
Let u be 2/(-15) - 436/(-120). Let b(x) be the first derivative of -u*x**2 - 5*x - 8. What is the first derivative of b(o) wrt o?
-7
Let b = 141 + -128. What is the third derivative of -b*r**5 - 12*r**2 + 84*r**2 - 17*r**2 wrt r?
-780*r**2
Find the first derivative of -y + 22*y - 30*y + 140*y - 124 wrt y.
131
Let b(x) = -x**2 + x - 1. Let r = -19 + 20. Let f(j) = 12*j**2 - 3*j + 4. Let w(s) = r*f(s) + 3*b(s). Find the first derivative of w(m) wrt m.
18*m
Suppose 17*z = 15*z + 18. What is the third derivative of -z*c**4 - 9*c**4 + 17*c**4 + 9*c**2 wrt c?
-24*c
Let p(b) = b**3 - 15*b**2 - 34*b. Let n be p(17). Let h be ((-1)/(-2) + 1)*2. Find the third derivative of -4*r**h + 0*r**3 + r**2 + n*r**3 - r**3 wrt r.
-30
What is the second derivative of 412*y + 423*y**2 - 710*y + 193*y + 196*y + 425*y wrt y?
846
Let z(q) be the second derivative of q**9/15120 + q**5/6 - 5*q**4/4 + 18*q. Let g(w) be the third derivative of z(w). Differentiate g(p) wrt p.
4*p**3
Suppose -u = -5*q - 15, -5*q = -0*u + 2*u + 30. Let g(j) = j**3 + 3*j**2 - 6*j - 2. Let k be g(q). Differentiate -2*i - k + 4*i - 3*i - 3*i with respect to i.
-4
Let t(y) = 89*y**3 - 132*y**2 - 5*y + 3. Let s(z) = -91*z**3 + 131*z**2 + 7*z - 4. Let l(b) = 3*s(b) + 4*t(b). What is the third derivative of l(x) wrt x?
498
Let m(c) be the third derivative of c**7/210 + 8*c**5/3 + 269*c**4/24 + 37*c**2 + 3*c. Find the second derivative of m(p) wrt p.
12*p**2 + 320
Let m(c) = -54*c**3 + 2*c + 217. Let n(i) = -2*i**3 + i**2 - i. Let z(b) = m(b) + 2*n(b). Differentiate z(j) with respect to j.
-174*j**2 + 4*j
Let m(b) = -b**3 - b**2 - b. Let u(o) = -o**2 + 22*o**3 + 12*o + o**2 + 6*o**2 - 33*o. Let n(d) = -6*m(d) - u(d). What is the second derivative of n(q) wrt q?
-96*q
Suppose -17*w + 27 = -24. What is the first derivative of j**4 - 14*j**4 + 7*j**4 + 39 - 2*j**w wrt j?
-24*j**3 - 6*j**2
Suppose -8*i = -28 - 20. What is the third derivative of -i*w**2 + 13*w**6 + 12*w**2 + 4*w**3 - 4*w**3 wrt w?
1560*w**3
What is the third derivative of -13*v**2 - 182*v**5 - 2 - 24*v**2 + 16*v**2 + v**4 - 24*v**2 wrt v?
-10920*v**2 + 24*v
Let i = -6 + 8. Suppose 0 = -7*b + 2*b + 3*a + 35, -i*b + 18 = -2*a. What is the derivative of 0 + 2*l**4 - 2*l**4 - 3 - 4*l**b wrt l?
-16*l**3
Let n(t) = 85*t**2 - 76*t + 10. Let x(s) = -2*s**2 - s + 2. Let p(i) = n(i) - 5*x(i). Find the second derivative of p(q) wrt q.
190
Let q be ((-2)/4)/(2/(-76)). Suppose -3*x - 2*f + q = 0, 0*f - 3*f = 5*x - 33. What is the second derivative of 202*o**5 + x*o - 199*o**5 + 3*o wrt o?
60*o**3
Let k be ((-12*1)/3)/(14/(-49)). What is the second derivative of -k*w - 4*w**5 + 54*w**3 - 54*w**3 wrt w?
-80*w**3
Let o(n) be the first derivative of 6*n**4 + 14*n**3/3 - 10. Find the third derivative of o(m) wrt m.
144
Suppose 319 = -32*t + 703. Let o(p) be the first derivative of 0*p**2 + 0*p**3 - t*p + 1 - 3/4*p**4. What is the first derivative of o(b) wrt b?
-9*b**2
Let j(p) = 358*p**3 + 332*p**2 - 3*p. Let d(n) = -358*n**3 - 332*n**2 + 2*n. Let r(u) = 3*d(u) + 2*j(u). What is the third derivative of r(i) wrt i?
-2148
Find the third derivative of 82*x**6 + 24*x**2 - 106*x**2 - 49*x**2 wrt x.
9840*x**3
What is the first derivative of 122 - 85*r**3 + 82 + 136 - 4 wrt r?
-255*r**2
What is the second derivative of -153*o + 66*o**4 - 52*o**4 + 136*o**4 wrt o?
1800*o**2
Let r(a) be the second derivative of 17*a**7/42 + a**5/10 + 67*a**3/6 - 22*a. What is the second derivative of r(y) wrt y?
340*y**3 + 12*y
Differentiate 4 - 17*f**2 + 56*f**2 + 17*f**2 - 123 wrt f.
112*f
Let g(k) be the first derivative of 0*k**2 + 0*k**5 + 0*k**4 + 14/3*k**3 + 58 + 49/6*k**6 + 0*k. What is the third derivative of g(a) wrt a?
2940*a**2
Let l(h) = -89*h + 52. Let s(y) = 87*y - 52. Let n(a) = -6*l(a) - 5*s(a). What is the derivative of n(d) wrt d?
99
Let s(a) be the second derivative of -17*a**8/4 + 35*a**4/2 + 179*a. Find the third derivative of s(r) wrt r.
-28560*r**3
Suppose 0*o + 3*o = 6. Differentiate -8*g - 52 + 5*g**o + 10 + 8*g wrt g.
10*g
Let u(f) be the first derivative of -47*f**6/6 + 2*f**3/3 - 97*f**2/2 + 127. Find the second derivative of u(d) wrt d.
-940*d**3 + 4
Let y(w) = -9*w**4 - 4*w**3 + 12*w - 1. Let n(t) = -9*t**4 - 5*t**3 + 13*t - 2. Let k(g) = -4*n(g) + 5*y(g). Find the second derivative of k(a) wrt a.
-108*a**2
Let h = -85 + 87. What is the third derivative of 29*w**3 - 45*w**2 + 15*w**2 + 7*w**h wrt w?
174
Let z(b) be the third derivative of -b**7/15 - b**4/12 - 463*b**3/6 - 283*b**2 - b. Differentiate z(s) wrt s.
-56*s**3 - 2
Suppose -w = -2*g + 8, 0 = -5*g - 0*w + 4*w + 23. Let d(s) = -3*s + 11. Let b be d(g). Find the first derivative of -19*f**3 + 13*f**3 + 13*f**3 - b wrt f.
21*f**2
Let w = 3991/6 + -665. Let o(b) be the second derivative of 9*b + w*b**3 + 9/20*b**5 + 0*b**4 + 0*b**2 + 0. What is the second derivative of o(p) wrt p?
54*p
Let b be (-158)/(-14) - (24/(-14) - -2). What is the third derivative of 2*q**6 - b*q**6 + 9*q**2 - 14*q**2 - 12*q**6 wrt q?
-2520*q**3
Let w(g) = 2*g**3 - 2*g**2 + g - 1. Let b(h) = 8*h**3 + 83*h**2 - h + 1. Let o(z) = -b(z) - w(z). What is the third derivative of o(d) wrt d?
-60
Let x(l) be the second derivative of 43*l**5/4 - 20*l**2 - l - 166. Differentiate x(a) with respect to a.
645*a**2
Find the first derivative of 116 - 233 + 97 + 352*k**2 wrt k.
704*k
Let q = 41 - -6. Differentiate 10 + 23*m + 9*m - q*m wrt m.
-15
Let i(y) = -2*y**2 + 9*y - 7. Let n be i(3). What is the derivative of -41*r**4 - 28 - 4810*r**n + 4810*r**2 wrt r?
-164*r**3
What is the second derivative of 1243*i - 32*i**5 - 83*i**5 - 1218*i wrt i?
-2300*i**3
Let i(m) be the third derivative of -9*m**2 - 1/20*m**6 + 0*m**3 + 0*m + 0*m**4 + 0 - 11/60*m**5. Find the third derivative of i(t) wrt t.
-36
Suppose 3*w - 15 = -0. Let x be (-22)/(-7) + w/(-35). Find the first derivative of -3*c**3 + 8*c**3 - 4*c**3 - 2 + 4*c**x wrt c.
15*c**2
Let i(v) = 2*v + 2. Let s be i(0). Find the third derivative of -17*z**4 + 16*z**6 + 17*z**4 + 3*z**s wrt z.
1920*z**3
Suppose -4*n - 3*m = -6*m - 267, 4*n + 5*m = 291. What is the second derivative of -12*b + 39*b - n*b**2 + 31*b**2 wrt b?
-76
Let z(l) = -12*l**5 - 11*l**2 + 0*l**4 + 6*l**5 - 4*l**4. Let p(s) = s**5 + s**4. Let w(y) = 4*p(y) + z(y). Find the third derivative of w(a) wrt a.
-120*a**2
Let w(d) be the second derivative of 17/3*d**3 - 9/5*d**5 + 0*d**2 + 0 - 15*d + 0*d**4. Find the second derivative of w(t) wrt t.
-216*t
Let r(j) be the second derivative of j**6/5 - 5*j**4/6 + 6*j**2 - 31*j + 1. What is the first derivative of r(f) wrt f?
24*f**3 - 20*f
Let n(h) be the third derivative of 37*h**6/120 + 11*h**4/24 + h**2 - 94. Find the second derivative of n(z) wrt z.
222*z
Find the thi | {
"pile_set_name": "DM Mathematics"
} |
picking 2 l, 1 z, and 1 s when four letters picked without replacement from rzrwsll.
1/35
What is prob of picking 1 x and 2 u when three letters picked without replacement from {x: 2, u: 8}?
7/15
Calculate prob of picking 3 u when three letters picked without replacement from {u: 11, f: 3}.
165/364
Calculate prob of picking 2 t and 1 q when three letters picked without replacement from tctqctctctctccqqc.
9/136
Calculate prob of picking 2 o and 1 v when three letters picked without replacement from vvvovvvvoovoov.
45/182
Three letters picked without replacement from {c: 7, d: 5}. Give prob of picking 1 d and 2 c.
21/44
Two letters picked without replacement from ngnenmnln. Give prob of picking 1 n and 1 e.
5/36
Four letters picked without replacement from {c: 3, k: 5, f: 1, p: 3, z: 6}. Give prob of picking 1 p, 1 z, 1 f, and 1 k.
1/34
What is prob of picking 2 h and 2 v when four letters picked without replacement from {h: 4, v: 3}?
18/35
What is prob of picking 1 z and 2 y when three letters picked without replacement from {v: 7, y: 3, z: 8}?
1/34
Calculate prob of picking 1 u and 1 s when two letters picked without replacement from shsshsusshsuhhhh.
7/60
Two letters picked without replacement from {q: 1, h: 2, m: 2, d: 1, p: 1}. What is prob of picking 2 m?
1/21
Calculate prob of picking 2 n and 2 f when four letters picked without replacement from fffffnfffffnfnnfnfn.
195/646
What is prob of picking 1 s and 2 h when three letters picked without replacement from shssshsshsss?
27/220
Three letters picked without replacement from {b: 2, t: 1, y: 1, o: 1}. Give prob of picking 2 b and 1 t.
1/10
What is prob of picking 1 h and 1 e when two letters picked without replacement from aerhy?
1/10
Calculate prob of picking 1 g, 1 t, and 1 j when three letters picked without replacement from {g: 5, t: 3, q: 1, j: 1, x: 4, d: 1}.
3/91
Calculate prob of picking 1 h and 1 y when two letters picked without replacement from qmhmhhmqhhmyy.
5/39
Calculate prob of picking 4 u when four letters picked without replacement from yuyu.
0
Two letters picked without replacement from {o: 3, z: 1, y: 4, b: 4, g: 2}. Give prob of picking 1 g and 1 z.
2/91
Four letters picked without replacement from flxmlscf. Give prob of picking 1 m, 2 f, and 1 s.
1/70
Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {d: 2, x: 2, c: 7, n: 2, g: 4, k: 2}.
4/171
Two letters picked without replacement from fhnhfudqnhuu. Give prob of picking 2 n.
1/66
Two letters picked without replacement from yzymxyzxxx. Give prob of picking 2 y.
1/15
Three letters picked without replacement from {p: 7, d: 5}. What is prob of picking 3 d?
1/22
What is prob of picking 3 v when three letters picked without replacement from vvuvvvuuuuvuvvuvvvv?
220/969
Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {k: 1, t: 1, v: 1, d: 1, g: 1}.
1/10
What is prob of picking 3 f and 1 q when four letters picked without replacement from rqfqrrrfrrqrqrrf?
1/455
Three letters picked without replacement from hbhehxxhhkbbxh. Give prob of picking 1 x, 1 e, and 1 h.
9/182
Two letters picked without replacement from enlneeacenenaeeeen. Give prob of picking 2 a.
1/153
Four letters picked without replacement from nxxxn. What is prob of picking 4 x?
0
Four letters picked without replacement from ozzccccm. Give prob of picking 1 m, 1 o, and 2 c.
3/35
What is prob of picking 1 k, 1 v, and 2 n when four letters picked without replacement from {n: 2, k: 1, v: 3, x: 6}?
1/165
What is prob of picking 4 i when four letters picked without replacement from {i: 6}?
1
Calculate prob of picking 1 b and 1 i when two letters picked without replacement from nbeih.
1/10
Calculate prob of picking 2 f and 1 w when three letters picked without replacement from fkkwmfkfbkksk.
3/286
Four letters picked without replacement from yspppsypsps. What is prob of picking 2 s and 2 p?
2/11
What is prob of picking 2 m and 1 o when three letters picked without replacement from {o: 6, f: 7, e: 2, m: 2, t: 1}?
1/136
Two letters picked without replacement from gboyl. What is prob of picking 1 o and 1 y?
1/10
What is prob of picking 2 a and 1 m when three letters picked without replacement from {e: 3, a: 12, m: 2}?
33/170
Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {j: 1, p: 1, m: 2}.
1/6
Three letters picked without replacement from arhhmha. What is prob of picking 1 m and 2 a?
1/35
Four letters picked without replacement from {d: 17, k: 3}. What is prob of picking 4 d?
28/57
Four letters picked without replacement from {i: 4, v: 6, z: 3}. Give prob of picking 2 i and 2 v.
18/143
What is prob of picking 1 t and 1 j when two letters picked without replacement from {b: 3, t: 1, g: 2, j: 1, w: 2, e: 8}?
1/136
Three letters picked without replacement from {g: 1, m: 6, w: 1, z: 6, f: 5}. Give prob of picking 1 z, 1 f, and 1 g.
10/323
Two letters picked without replacement from {r: 4, v: 6, a: 2}. What is prob of picking 2 a?
1/66
Four letters picked without replacement from {e: 1, t: 1, u: 4, x: 1, c: 6}. Give prob of picking 2 u and 2 e.
0
Two letters picked without replacement from {c: 5, v: 4, a: 1}. Give prob of picking 1 a and 1 c.
1/9
What is prob of picking 2 p when two letters picked without replacement from lilspfpw?
1/28
Four letters picked without replacement from {o: 1, d: 1, f: 1, t: 2, q: 2, k: 2}. What is prob of picking 1 o, 1 f, and 2 t?
1/126
Four letters picked without replacement from chiccciicimcicihiiii. What is prob of picking 1 c, 1 h, and 2 i?
42/323
Two letters picked without replacement from {w: 4, p: 3, d: 2, u: 2, a: 2, g: 1}. Give prob of picking 1 w and 1 d.
8/91
Three letters picked without replacement from hroziow. What is prob of picking 1 z, 1 i, and 1 r?
1/35
Three letters picked without replacement from ggggggrgrr. What is prob of picking 2 g and 1 r?
21/40
What is prob of picking 3 r when three letters picked without replacement from rtrtrrttrrrrtrrr?
33/112
Four letters picked without replacement from {e: 10, j: 2, k: 6}. What is prob of picking 1 j and 3 k?
2/153
Two letters picked without replacement from xxtet. Give prob of picking 1 x and 1 e.
1/5
What is prob of picking 2 l and 1 a when three letters picked without replacement from llalllal?
15/28
Calculate prob of picking 2 u and 1 p when three letters picked without replacement from {j: 3, x: 9, p: 3, u: 5}.
1/38
Four letters picked without replacement from {u: 12, s: 7}. Give prob of picking 1 u and 3 s.
35/323
Four letters picked without replacement from uhsvccvccwvvwvv. What is prob of picking 1 s, 1 h, 1 u, and 1 w?
2/1365
Three letters picked without replacement from {p: 1, a: 1, y: 5, s: 5}. What is prob of picking 3 s?
1/22
What is prob of picking 1 b and 1 c when two letters picked without replacement from {h: 1, k: 5, y: 4, c: 1, b: 1}?
1/66
Four letters picked without replacement from {e: 10, m: 10}. What is prob of picking 3 e and 1 m?
80/323
What is prob of picking 1 v, 1 s, and 1 p when three letters picked without replacement from {p: 2, v: 1, s: 2}?
2/5
Two letters picked without replacement from {s: 4, l: 2}. What is prob of picking 2 s?
2/5
Two letters picked without replacement from nevellbg. What is prob of picking 1 l and 1 n?
1/14
Calculate prob of picking 1 l and 1 w when two letters picked without replacement from lwwguck.
2/21
Two letters picked without replacement from bzejw. What is prob of picking 1 j and 1 e?
1/10
What is prob of picking 1 c, 1 h, and 2 d when four letters picked without replacement from cdhd?
1
What is prob of picking 3 a when three letters picked without replacement from {e: 5, x: 1, a: 3, z: 1}?
1/120
Three letters picked without replacement from {r: 1, i: 1, m: 1, o: 1, n: 1}. What is prob of picking 1 i, 1 o, and 1 r?
1/10
Two letters picked without replacement from {u: 3, n: 1, y: 4, j: 2, e: 1}. What is prob of picking 1 e and 1 j?
2/55
Calculate prob of picking 2 u and 2 f when four letters picked without replacement from eeunuuepuepfupefu.
3/476
Three letters picked without replacement from {l: 1, k: 11, g: 1, v: 4, a: 2}. What is prob of picking 1 a, 1 g, and 1 k?
22/969
Two letters picked without repl | {
"pile_set_name": "DM Mathematics"
} |
5 + h = -o. Let z(s) = 88*s**2 + s + 1. What is the tens digit of z(o)?
8
Let x(d) = 6914*d - 266. What is the ten thousands digit of x(3)?
2
Suppose -48 = -0*l - 12*l. What is the tens digit of (2/l)/((-5)/(-2330))?
3
Suppose 17*f - 3438 = 3039. Let m = -7 + f. What is the hundreds digit of m?
3
Let q(x) be the first derivative of 29*x**2 + 8*x + 15. Let w be q(3). Suppose 2*o = 4*h - 2*h + w, 1 = -h. What is the units digit of o?
0
Suppose r - 854 = 2*g, -g + 0*g - 427 = -4*r. Let i = -300 - g. Let t = i - -16. What is the tens digit of t?
4
Suppose -3*g - 5 = 4*n + 8, 2*g - 2*n - 10 = 0. Let j(q) = -15*q. Let y be j(g). What is the tens digit of ((-50)/y + -4)*-24?
1
Suppose 12*a - 106168 - 136862 = -89478. What is the hundreds digit of a?
7
Let q(l) = 5*l**3 - 4*l**2 - 5*l + 5. Suppose -5*k - 4*j - 162 + 39 = 0, 2 = -j. Let o be 0 - 1 - 115/k. What is the hundreds digit of q(o)?
2
Let w(r) = 10*r**2 - 82*r + 14. Let m(h) = 4*h**2 - 27*h + 5. Let d(c) = 11*m(c) - 4*w(c). What is the units digit of d(-8)?
7
Suppose -n - 417 = -2*n - 3*m, -3*n = -3*m - 1251. Suppose -4*q + q = -l + 77, 5*l - n = -q. Suppose -2*w + 13 = -l. What is the units digit of w?
8
Let r(i) = 2*i**3 - 5*i**2 + 6*i + 4. Let k be r(3). Let j = k - -194. Suppose 5*g - 4*u = j, 0*g + 2*g - 5*u = 107. What is the units digit of g?
1
Let q(t) = -t**3 + 16*t**2 - 16*t + 17. Let w be q(15). Suppose 2*n - 4*d - 783 = -d, 0 = w*d + 6. What is the tens digit of n?
8
Suppose 14*v + 16*v - 213150 = 0. What is the hundreds digit of v?
1
Let v(r) = r**3 - 7*r**2 + 5*r + 12. Let b be v(6). What is the tens digit of (-330)/(-20)*(2 + 448/b)?
6
Suppose 28*y - 150253 = 138315. What is the units digit of y?
6
Let n = 12 + -7. Suppose o + 2*z - 2 = 0, -5*o - 5*z + 15 = -0*o. Suppose -x - 407 = -n*l + x, o = -4*x. What is the units digit of l?
1
Suppose 3*n + 2*p = -0*n, p = -2*n. Let s(v) = v. Let b(j) = j + 39. Let w(g) = b(g) - 5*s(g). What is the units digit of w(n)?
9
Suppose 79*m - 80*m = 3*u - 43675, -3*m = 2*u - 131011. What is the units digit of m?
9
Let n be 6/(-9)*(-5)/((-20)/(-534)). Let q = -34 + n. What is the units digit of q?
5
Let q(j) = -j**2 + 52*j + 121. Let b(l) = -l**2 + 51*l + 120. Let p(w) = -5*b(w) + 6*q(w). What is the hundreds digit of p(55)?
2
Suppose 14*r - 10*r - 340 = 0. Let y = 171 + r. What is the hundreds digit of y?
2
Let u = -475 + 792. Suppose 3589 = 9*g - u. What is the units digit of g?
4
Let h = -33573 + 38092. What is the tens digit of h?
1
Let v = -4932 + 8431. What is the tens digit of v?
9
Let k = -3982 + 6517. Suppose -5*p - 3*l = -4*l - k, l + 1521 = 3*p. What is the units digit of p?
7
Suppose -30 + 61 = -2*v - 3*w, 2*v - 5*w - 9 = 0. What is the units digit of ((-2511)/108)/(2/v)?
3
Suppose -3*q + q = c - 678, -5*q + 4*c = -1708. Let z = 446 - q. What is the tens digit of z?
0
Let n(r) = 2*r**3 - 22*r**2 + 34*r + 20. Let i be n(9). Let s(v) = v**2 + 3*v**2 - 2*v**2 + 1 + v. What is the units digit of s(i)?
1
Suppose -2*u - 678240 = -29*u. Suppose -77840 = -40*q - u. What is the units digit of q?
8
Let z = 168 - 166. Suppose -q - 4*y = -z*q + 757, 2*q - 1502 = 2*y. What is the tens digit of q?
4
Suppose 6*l = 9*l - 216. Let f be 2 - -1 - 10/(-5). Suppose 0 = f*p - 223 - l. What is the units digit of p?
9
Let g be (-8)/6 - (-2 + 46/(-3)). Let i be 0 + g + (-1 - (8 - 6)). Suppose i*r - 212 - 1166 = 0. What is the hundreds digit of r?
1
Suppose 3*x + 12 = 6*x. Suppose 5*a - 765 = 2*a - 2*b, -4*a = -x*b - 1000. Suppose 3*d + 5*j = j + a, 2*j - 168 = -2*d. What is the tens digit of d?
8
Let r be 11290/6 - ((-16)/3 + 5). Let g = r - 1244. What is the tens digit of g?
3
Suppose g = 3*t - 20510, 281*t - 282*t - g = -6838. What is the hundreds digit of t?
8
Let o = -1221 + 11349. What is the ten thousands digit of o?
1
Suppose -4*h - 3*z + 22 = 0, 0 = 3*h - 0*h - 5*z - 2. Let m be 2 + (-8)/h + 3 + 0. Suppose 3*w + 300 = m*a, 5*w + 380 + 25 = 4*a. What is the tens digit of a?
9
Let g = 9756 + 6630. What is the units digit of g?
6
Suppose 0 = 5*q + 3*p - 697 - 500, -5*q - 2*p = -1193. Suppose 5*y + q = 4*u, 0*y = 4*y + 4. Let r = u - -18. What is the units digit of r?
6
Suppose -3*c - 1971 = -b - 0*b, 9875 = 5*b - 5*c. Suppose -g = 3*x - 1189, 3*x = -2*x - 4*g + b. What is the hundreds digit of x?
3
Suppose -50*q - 175 = -55*q. What is the tens digit of (-30546)/(-42) - (80/q - 2)?
2
Suppose 5*s = -5*v + 2*v + 269, -5*s + 4*v + 318 = 0. What is the units digit of s?
8
Let x(a) = 71*a**2 - 21*a - 76. Let j be x(-7). Suppose 0 = 34*y - j - 20318. What is the hundreds digit of y?
7
Suppose -189*z + 3166326 + 2355256 = 1026406. What is the ten thousands digit of z?
2
Let j be 2/4*(-1 - -1). Let v be 2/1 + 1572/(2 - j). Suppose v = 6*l - 34. What is the units digit of l?
7
What is the units digit of (619605/(-562))/(6/(-80))?
0
Let l = -61293 + 89066. What is the tens digit of l?
7
Let f = 62 - 43. Let z(c) = 2*c - 37. Let j be z(f). What is the tens digit of (1 - 130)/(j - 2)?
2
Let l be ((-3 - -4)*0)/2. Suppose -5*m - 1 = -2*j + 5*j, l = -3*m - 15. Let x(s) = s**2 - s + 6. What is the units digit of x(j)?
2
Let q(b) be the second derivative of b**4/6 + b**3/6 + 6*b**2 + 58*b. What is the tens digit of q(4)?
4
Suppose 4*s - 18*h + 31 = -13*h, s - 2*h = -10. Let j be 2/6 + 110/3. Let t = j - s. What is the tens digit of t?
4
Suppose 13*d = 30*d + 51. Let f(j) = -157*j - 77. What is the units digit of f(d)?
4
Suppose -2*r = -d + 9320, -49*d + 44*d + 4*r + 46618 = 0. What is the hundreds digit of d?
3
Let d(o) = -134*o**2 + 4*o + 57. Let y(c) = 67*c**2 - 2*c - 28. Let n(g) = 4*d(g) + 9*y(g). What is the thousands digit of n(-4)?
1
Suppose -7*r + 868 = -854. Let g(k) = 37*k**2 + 10*k - 24. Let j be g(-6). Suppose 5*q = m + j, 2*m = q - 0*m - r. What is the tens digit of q?
5
Let o be (2/4)/(18/900). Suppose -2*u = 2*g + 22, u + u + o = g. What is the tens digit of (-15)/(-12) + (-657)/u?
5
Let g(c) = 12*c**2 - 778*c + 89. What is the tens digit of g(76)?
7
Let i(a) = 946*a**2 - 35*a - 75. What is the units digit of i(-3)?
4
What is the thousands digit of ((-68)/102)/((-6)/203265)?
2
Let z = -2574 - -3407. What is the hundreds digit of z?
8
Suppose 0 = -3*w + x + 24, -2*w + 5*w - 36 = -3*x. Let o = 3081 - 1974. Suppose w*n - o = -171. What is the hundreds digit of n?
1
Let i = 439 - 419. Suppose 2*y = 3*k + 923, -4*k + i + 0 = 0. What is the units digit of y?
9
Suppose -4*p + 1289 = 5*g, -345 = 5*p - g - 1949. Let f(w) = w**3 + 6*w**2 + 2*w - 10. Let r be f(-8). Let x = p + r. What is the units digit of x?
7
Let s be 6/(-10) + 1917/(-5). Suppose 5*c = -4*v - 872, 60*v = -c + 65*v - 186. Let l = c - s. What is the tens digit of l?
0
What is the hundreds digit of 7 + -13 + 7*926 + 0/2?
4
Let w(j) = -j**2 + 9*j - 9. Let s be w(7). Suppose y = -g + 1401, -s*y + 7005 = 5*g - y. What is the tens digit of g?
0
Suppose -5*d = -9*d - 16, -5*y = -2*d - 42693. What is the thousands digit of y?
8
Let s(g) = 375*g**2 - 3*g + 3. Let x be s(1). What is the tens digit of 1 + (-34)/30 - (-177050)/x?
7
What is the units digit of (-5)/(-25) - ((-207536)/10)/7?
5
Let d(k) = 1826*k + 1271. What is the ten thousands digit of d(13)?
2
Suppose -4*c = -w + 13404, 25*w - 24*w + 3*c = 13369. What is the hundreds digit of w?
3
Suppose -2*n + 20952 = -9*v, -3*n + 6*v - 7*v = -31457. What is the units digit of n?
5
Let f = -64 + 70. Suppose 3*d = -f, 3*d - 4*d + 32 = n. Let r = 76 + n. What is the tens digit of r?
1
Suppose -307*t + 318*t = 89738. What is the units digit of t?
8
Let n = -215 - -13. Let v = n + 291. What is the units digit of v?
9
Let s be -1 + (-7)/((-42)/8496). Suppose -2*y + 7*y = 4*a + s, -3*y = -5*a - 836. What is the units digit of y?
7
Suppose -2*k - 26*k + 1614116 = 0. What is the thousands digit of k?
7
Let b(n) = -n**2 - 3*n + 3. Suppose -3 = k + 3*m, -k - 3*m = -2*m + 3. Let w be b(k). What is the units digit of (2 + (-4)/w)/((-18)/(-81))?
3
What is the tens digit of (-28203)/9*1170/52*(-12)/15?
0
Suppose -21718 = -2*d - 9*m, 59 = -m + 55. What is the units digit of d?
7
Let d be (5 - (-68)/(-12))/(1/(-954)). Let x = d + -431. What is the tens digit of x?
0
Suppose h - 23150 = 4*w, 3*w = 4*h - 27812 - 64853. What is the thousands digit of h?
3
Let z = 25 - 6. Let | {
"pile_set_name": "DM Mathematics"
} |
s x in -2*x**2/3 - 606676*x/3 - 8290118 = 0?
-303297, -41
Find p, given that -2*p**3/5 - 3681988*p**2/5 + 7363984*p/5 = 0.
-1840996, 0, 2
Suppose -c**2/5 - 26718*c - 17483129/5 = 0. Calculate c.
-133459, -131
Factor -4*x**3 + 5144*x**2 - 312572*x - 317720.
-4*(x - 1222)*(x - 65)*(x + 1)
Determine h, given that h**4/9 - 2408*h**3/9 + 14408*h**2/9 + 9632*h/9 - 19216/3 = 0.
-2, 2, 6, 2402
Factor j**2/5 - 14223149*j/5 + 28446294/5.
(j - 14223147)*(j - 2)/5
Factor -2*q**2 + 29698*q + 5288800.
-2*(q - 15025)*(q + 176)
Factor 1849*k**2/3 - 763766*k/3 + 78872161/3.
(43*k - 8881)**2/3
What is a in -2*a**4 - 2518*a**3 + 2761094*a**2 - 5514626*a + 2756052 = 0?
-1963, 1, 702
Factor 2*w**2 - 1555158*w + 35767576.
2*(w - 777556)*(w - 23)
Factor -2*t**3 + 146906*t**2 - 1468860*t.
-2*t*(t - 73443)*(t - 10)
What is r in -5*r**3 + 7725*r**2 - 2800170*r + 11077400 = 0?
4, 571, 970
Factor 27*w**4 - 13518882*w**3 + 1692219294903*w**2 + 1128150702900*w + 188025367500.
3*(w - 250350)**2*(3*w + 1)**2
Factor -3*h**4 - 24366*h**3 - 69775524*h**2 - 79502326050*h - 26189924448009.
-3*(h + 541)*(h + 2527)**3
Solve 2*s**2 - 224552*s - 224554 = 0 for s.
-1, 112277
Find k, given that k**5/6 - 113*k**4/3 + 1268*k**3 - 29815*k**2/3 + 135575*k/6 = 0.
0, 5, 29, 187
Let 55*n**4 + 11485*n**3 - 622600*n**2 + 6396020*n - 1142400 = 0. Calculate n.
-255, 2/11, 14, 32
Factor 5*w**2 - 88525*w + 82503330.
5*(w - 16718)*(w - 987)
Factor o**3/5 + 161*o**2/5 + 576*o/5 - 31824/5.
(o - 12)*(o + 17)*(o + 156)/5
Factor l**3/4 + 75*l**2/2 + 6743*l/4 + 43953/2.
(l + 23)*(l + 49)*(l + 78)/4
Suppose 42*r**4 + 513*r**3 - 5577*r**2 - 73872*r - 67824 = 0. Calculate r.
-12, -157/14, -1, 12
Factor -5*q**3/4 + 627595*q**2/4 - 4927128600*q + 231228584640.
-5*(q - 62736)**2*(q - 47)/4
Let -1915690*s**2/11 - 5747054*s/11 + 48/11 = 0. What is s?
-3, 8/957845
Solve -2*k**5 - 7244*k**4 - 131754*k**3 + 44373728*k**2 - 88323208*k + 44088480 = 0 for k.
-3602, -90, 1, 68
Solve 136898*y**3/11 - 1232072*y**2/11 - 3011846*y/11 - 20 = 0 for y.
-2, -5/68449, 11
Solve -4*v**3/5 - 10925264*v**2/5 - 7460087091856*v/5 = 0 for v.
-1365658, 0
Factor 4*v**2 + 224332*v - 4039272.
4*(v - 18)*(v + 56101)
Factor 2*m**3 + 10296818*m**2 - 61780962*m + 92671470.
2*(m - 3)**2*(m + 5148415)
Factor -b**3/9 - 68*b**2/3 - 759*b - 24124/9.
-(b + 4)*(b + 37)*(b + 163)/9
What is s in 16*s**4 - 15798620*s**3 - 82943080*s**2 - 114540580*s - 23698056 = 0?
-3, -2, -1/4, 987419
Let -4*x**2 + 3365768*x - 708024639364 = 0. What is x?
420721
Factor 2*c**2/5 - 6916492*c/5 - 12449718.
2*(c - 3458255)*(c + 9)/5
Suppose -4*n**2/5 - 71856208*n/5 + 71856212/5 = 0. What is n?
-17964053, 1
Factor -2*d**2/5 + 8490658*d/5 - 16981308/5.
-2*(d - 4245327)*(d - 2)/5
What is k in 22*k**4 - 320734*k**3 + 2505982*k**2 + 3351294*k + 524556 = 0?
-1, -2/11, 9, 14571
Let -t**4/6 - 3871*t**3/6 + 7745*t**2/6 - 1291*t/2 = 0. What is t?
-3873, 0, 1
Factor -2*a**4/5 + 301976*a**3/5 - 603944*a**2/5.
-2*a**2*(a - 150986)*(a - 2)/5
Determine t so that -5*t**4 - 2085*t**3 + 7152675*t**2 - 7146395*t - 14301150 = 0.
-1423, -1, 2, 1005
Determine i so that -2*i**4 + 358*i**3 + 5362*i**2 + 8538*i - 83376 = 0.
-9, -8, 3, 193
Factor -196520*s**4 - 34327420*s**3 - 255793050*s**2 - 647944245*s - 549850005.
-5*(s + 167)*(34*s + 87)**3
Factor -4*x**2 - 85219380*x - 85219376.
-4*(x + 1)*(x + 21304844)
Let 3*h**5 - 4368*h**4 - 215049*h**3 - 2293242*h**2 - 5062464*h = 0. Calculate h.
-34, -11, -3, 0, 1504
Let -3*r**2/5 - 84492*r + 1689888/5 = 0. What is r?
-140824, 4
Find c such that -7*c**4 + 22286*c**3 + 658411*c**2 + 816046*c + 179928 = 0.
-28, -1, -2/7, 3213
Suppose 2*b**5/5 - 172*b**4 + 35784*b**3/5 - 88396*b**2 + 2083382*b/5 - 633864 = 0. What is b?
3, 7, 28, 385
Solve -4*z**2 + 33175768*z - 33175764 = 0 for z.
1, 8293941
Find r, given that -5*r**5 - 65280*r**4 - 5847180*r**3 - 161887360*r**2 - 928419840*r + 12746096640 = 0.
-12966, -32, 6
Suppose q**3 - 3129291*q**2 + 12517152*q - 12517148 = 0. Calculate q.
2, 3129287
Solve 5450*k**3/3 - 172052240*k**2/3 + 1357890261442*k/3 - 24915359716/3 = 0.
2/109, 78923/5
Suppose 5*a**4 + 3810*a**3 - 622415*a**2 - 1271400*a + 1890000 = 0. What is a?
-900, -3, 1, 140
Solve -a**2/4 - 92403*a/2 - 1016312 = 0 for a.
-184784, -22
Determine x, given that -147*x**3/2 - 18809229*x**2/2 - 601678158177*x/2 + 36837508761/2 = 0.
-63977, 3/49
Factor -x**2 + 169008190*x - 7140942071769025.
-(x - 84504095)**2
Solve 10*k**3/7 - 4151354*k**2/7 + 61548893632*k + 258506847744/7 = 0.
-3/5, 207568
Let 2331*h**4 - 149892*h**3 + 2348352*h**2 - 700272*h + 11856 = 0. Calculate h.
2/111, 2/7, 26, 38
Solve -2*i**4/3 + 5264*i**3/3 + 630278*i**2/3 + 4206244*i/3 + 1977840 = 0.
-108, -5, -2, 2747
Factor 2*r**2 - 1628*r - 1288702.
2*(r - 1307)*(r + 493)
Determine w, given that w**4/4 - 48315*w**3/2 + 483133*w**2/4 - 193251*w + 96625 = 0.
1, 2, 96625
Suppose 32*w**5/9 + 6638000*w**4/3 + 23232886*w**3/3 + 31115456*w**2/9 + 1244618*w/3 = 0. Calculate w.
-622309, -3, -1/4, 0
Solve -3*g**3/5 - 239334108*g**2/5 + 478668228*g/5 = 0 for g.
-79778038, 0, 2
What is c in -c**4/10 + 1166*c**3/5 - 667968*c**2/5 - 2765952*c = 0?
-20, 0, 1176
Solve 7450*z**5/11 + 706160*z**4/11 + 17009002*z**3/11 + 13049252*z**2/11 + 2454904*z/11 - 35344/11 = 0 for z.
-47, -2/5, 2/149
Solve -2*n**5/3 - 790*n**4/3 - 3098*n**3 - 39242*n**2/3 - 67504*n/3 - 12256 = 0 for n.
-383, -4, -3, -1
Let 4*q**5 + 99868*q**4 + 621800484*q**3 - 19366100588*q**2 + 36244200232*q = 0. Calculate q.
-12499, 0, 2, 29
Factor 2*w**3 + 14012*w**2 + 26822274*w + 7792526016.
2*(w + 352)*(w + 3327)**2
Let -14*k**2/9 - 13294*k/9 + 67520/3 = 0. Calculate k.
-6752/7, 15
Suppose -n**4/9 - 108677*n**3/9 + 6524281*n**2/9 + 6632957*n/9 = 0. What is n?
-108737, -1, 0, 61
Factor 8*w**4 + 4247364*w**3 + 751677243792*w**2 + 44344196703845056*w + 199533664090153728.
4*(w + 176972)**3*(2*w + 9)
Find h such that 2*h**5/5 + 124*h**4/5 - 20714*h**3/5 - 915052*h**2/5 + 8824968*h - 8637840 = 0.
-90, 1, 31, 86
Factor -3*v**3/5 + 269250*v**2 - 1346247*v/5.
-3*v*(v - 448749)*(v - 1)/5
Suppose x**4 + 795*x**3 + 78597*x**2 - 493155*x + 750546 = 0. Calculate x.
-678, -123, 3
Find r, given that 882*r**4/19 + 3423756*r**3/19 - 149511718*r**2/19 + 28385256*r/19 - 1350200/19 = 0.
-3925, 2/21, 43
Determine q, given that 3*q**2/2 - 51927351*q + 898816593959067/2 = 0.
17309117
Factor -1957531536*i**3 + 2773822363488*i**2 - 250774996*i + 5668.
-4*(i - 1417)*(22122*i - 1)**2
What is s in -8*s**5/15 + 34286*s**4/5 - 147239948*s**3/5 + 637426356112*s**2/15 - 5473696713212*s/5 - 4224852104382/5 = 0?
-3/4, 27, 4277
Factor -2*r**2 + 22231010*r.
-2*r*(r - 11115505)
Determine j so that -j**2/2 + 214*j - 45675/2 = 0.
203, 225
Let -3*h**5/4 + 309*h**4/4 + 52926*h**3 + 520785*h**2 = 0. What is h?
-213, -10, 0, 326
Factor 2*w**2 + 167063128*w/7 + 95464640/7.
2*(w + 11933080)*(7*w + 4)/7
Find n, given that -n**4/3 + 782358*n**3 - 1377221949013*n**2/3 + 12853611501276*n - 269922621379684/3 = 0.
14, 1173523
Find z such that 3*z**2 + 99729*z - 2295354 = 0.
-33266, 23
Factor 2*s**2 + 132986*s + 132984.
2*(s + 1)*(s + 66492)
Determine k so that 2*k**3 - 18687260*k**2 + 43651729475704*k - 87303384202384 = 0.
2, 4671814
Let -o**2 - 56317027*o + 56317028 = 0. Calculate o.
-56317028, 1
Solve 23*b**4 + 668*b**3 + 3756*b**2 - 16000*b + 11264 = 0.
-16, 22/23, 2
Find x such that 2*x**2/7 - 279618*x + 9786580/7 = 0.
5, 978658
Factor -3*k**2 + 1453720542*k - 176108617852731147.
-3*(k - 242286757)**2
Factor p**2/4 - 489*p + 165137.
(p - 1522)*(p - 434)/4
Find d, given that -8*d**5 - 2980*d**4 - 150220*d**3 + 248560*d**2 + 842160*d - 464256 = 0.
-312, -62, -2, 1/2, 3
What is k in -101*k**4 - 165*k**3/2 + 1281*k**2/2 - 95*k - 96 = 0?
-3, -32/101, 1/2, 2
Find z such that -3*z**5 + 1434*z**4 - 119295*z**3 - 13002012*z**2 - 74635020*z - 110224800 = 0.
-56, -3, 270
Solve 4*f**3 - 630356*f**2 + 1891040*f - 1260688 = 0 for f.
1, 2, 157586
Determine d so that 2*d**3/11 + 12615146*d**2/11 + 1808431352976*d + 19892732267592/11 = 0.
-3153786, -1
Suppose 4*g**5/5 + 8032816*g**4/5 - 16065651*g**3/5 - 6024613*g**2/5 + 10041032*g/5 + 4016412/5 = 0. Calculate g.
-2008206, -1/2, 1, 2
Find u, given that -2*u**3/19 - 34*u**2 + 2798786*u/19 + 2799430/19 = 0.
-1355, -1, 1033
Factor -2*r**2/3 + 1784090*r/3 + 178409 | {
"pile_set_name": "DM Mathematics"
} |
ommon factor of x and d?
8
Let v be (32 + -27)/(10/22). Calculate the greatest common factor of 1331 and v.
11
Let b be (-6)/(-4) + 872/16. Let x = b + -34. Calculate the highest common factor of 33 and x.
11
Let d = -88 - -92. Let u(c) = -2*c + 19. Let m be u(d). What is the highest common divisor of 121 and m?
11
Suppose -c + 0 = 2. Let b be 1/(-2)*40/c. Suppose -30 = -18*o + 6. Calculate the greatest common factor of o and b.
2
Let n(g) = -2*g**2 + 13*g - 2. Let w be n(6). Calculate the highest common factor of 2 and w.
2
Let w(x) = -x**2 - 5*x - 3 - 11*x + 6. Let n = 11 - 18. Let d be w(n). What is the highest common factor of 6 and d?
6
Suppose 5*l = -w - 12, 6 = -2*l - 0. Suppose -n - w = -15. Let p be (1 - 1)/(-2) + 3. Calculate the highest common factor of n and p.
3
Let k be (32/(-20))/((-2)/50*-1). Let o be (-10)/k - 251/(-4). What is the greatest common factor of o and 7?
7
Let a be (-8)/(-48) - 3026/12. Let x be a/(-15)*10/3. What is the greatest common divisor of x and 7?
7
Let n(t) = 6*t + 484. Let g be n(-41). What is the highest common factor of 70 and g?
14
Let a(s) = s**3 + s**2 - 4*s + 11. Let p be a(3). Calculate the highest common divisor of 77 and p.
7
Let b = 1345 - 1169. What is the highest common divisor of b and 80?
16
Let k be 292/16 - (-1)/(-4). Let v(b) = -6*b + 2. Let g be v(-1). Let t be 72/4*12/g. What is the greatest common factor of k and t?
9
Suppose 9 = 2*q - 3*o, 0 = 4*q + 27*o - 24*o - 63. Calculate the highest common divisor of q and 498.
6
Suppose b = 585 - 25. Suppose -4*o + b = -4*g, 0 = 3*g - 6*g - 12. Calculate the highest common factor of 17 and o.
17
Suppose -91 + 1 = -5*f. Suppose -8*d + 461 - 101 = 0. Calculate the greatest common divisor of f and d.
9
Let s be (4 - 104/20)/(12/(-520)). What is the highest common factor of s and 2158?
26
Suppose -a - 2*q = -32, 4*a - 2*a - 19 = 5*q. Let o(n) = -n - 12. Let x be o(-11). Let z = x + a. Calculate the highest common factor of 7 and z.
7
Let x be ((-1)/2)/(-1) + (-180)/(-24). What is the highest common divisor of x and 888?
8
Let b = -20 + 20. Suppose b = -12*a + 7*a + 30. What is the highest common divisor of a and 6?
6
Let b(j) = -7*j**2 + 31*j + 10*j**2 - j**3 + 3*j + 9*j**2. Let y be b(14). Calculate the greatest common divisor of 12 and y.
12
Suppose 18*t - 940 + 220 = 0. Calculate the greatest common factor of t and 2440.
40
Let u = -112 - -115. Calculate the greatest common factor of u and 10.
1
Let k be 272 - 0/(5 + -2). Suppose 23*p - 34 = 22*p. Calculate the greatest common divisor of k and p.
34
Let x = 4 - -43. Let u = -1 + x. Calculate the highest common divisor of 322 and u.
46
Let t = -419 + 457. What is the greatest common factor of t and 4?
2
Suppose 20*d - 27*d = -91. What is the greatest common divisor of 377 and d?
13
Let z = -9 + 1. Let i(r) = r**3 + 9*r**2 + 6*r - 11. Let k be i(z). Let h be (0 + (-6)/9)*-3. Calculate the highest common divisor of k and h.
1
Let c be ((-2)/(-4))/((-1)/(-18)). Let a be (3 - (-1 - -4))/2. Let h be (9 - a)*(-4 + 5). What is the highest common factor of c and h?
9
Suppose 0 = -8*i + 4300 + 44. What is the highest common divisor of i and 3?
3
Let z = 13 + -8. Suppose z*p + 5 = 6*p. Suppose -p*h - 38 = -278. Calculate the greatest common divisor of h and 6.
6
Let f = 16 + -12. Suppose 12 = -0*i + f*i. Let u = 21 - 12. Calculate the highest common factor of i and u.
3
Let w = 1187 + -1176. What is the greatest common factor of 143 and w?
11
Let r(p) = 2*p - 12. Let f be r(12). What is the greatest common factor of 12 and f?
12
Suppose 43*t - 2133 = 1307. Let s = -10 - -70. What is the greatest common divisor of t and s?
20
Let v = 310 - 286. Calculate the greatest common divisor of 40 and v.
8
Let t be 24 - -4 - (-2 + 7). What is the highest common divisor of t and 207?
23
Suppose 7*r - 6*r = 5*h + 811, 3134 = 4*r + 2*h. Suppose 13*w - 189 = r. Calculate the greatest common divisor of w and 45.
15
Let y = 233 - 203. Let q be 6/((-4)/16*-4). What is the highest common factor of y and q?
6
Let w be (-28)/(-6 - -2) + 13. Calculate the greatest common factor of 60 and w.
20
Suppose g + 7 = 2*g. Let r = g + -6. Let o = 43 + r. Calculate the highest common factor of o and 110.
22
Suppose -2*p + 10 = -0*p - 4*o, 5*o - 26 = -3*p. Let d be 310/7 + (-2)/p. Calculate the highest common divisor of 33 and d.
11
Let j = 676 + -595. Calculate the greatest common factor of 108 and j.
27
Suppose 18*r - 35846 = 4906. What is the highest common divisor of 8 and r?
8
Let t = 73 - 50. Let b be 10302/39 + 4/(-26). Suppose 4*p + 3*i - b = 0, -4*p + 4*i + 0*i + 292 = 0. What is the greatest common divisor of p and t?
23
Let j(z) = -z**3 + z. Let x = -1 + 1. Let i = -3 + x. Let t be j(i). What is the highest common factor of t and 8?
8
Let m = 66 - -54. Calculate the highest common factor of m and 72.
24
Let z(h) = -h**3 - 9*h**2 - 3*h + 3. Let s be z(-9). Suppose -3*i = 3*i - s. Calculate the greatest common factor of 40 and i.
5
Suppose 4*u - 594 = -426. Suppose 3*f + 4*g + 3 = 41, 0 = -4*f - 4*g + 44. Calculate the greatest common factor of f and u.
6
Suppose -2*r - 15 = 4*h - 3, -4*h = 0. Let p be 1/(-2)*r/(-3). Let d be (27 - p)*(7 + -5). Calculate the highest common divisor of d and 7.
7
Let n(d) = 114*d**3 + d**2 - 2*d + 6. Let f be n(2). What is the greatest common divisor of 18 and f?
18
Let z = -258 + 328. Calculate the highest common factor of 98 and z.
14
Suppose -z + 3*z + 2*g - 10 = 0, -2*g = 8. Suppose 10*f + z - 79 = 0. Calculate the highest common factor of 21 and f.
7
Let i be (-228)/(-14) - 2/7. Let l(f) = 30*f**2 + 4*f. Let j be l(-2). Calculate the greatest common factor of j and i.
16
Let f = 55 - 43. Suppose -f = -2*d + 58. Calculate the greatest common factor of d and 5.
5
Let l = 512 - 500. What is the greatest common factor of l and 924?
12
Suppose -2*o + 7*o - 2*k - 198 = 0, 0 = -5*o + 3*k + 197. Calculate the greatest common divisor of o and 40.
40
Let o = -14 + 22. Let s = o + 4. What is the greatest common divisor of s and 60?
12
Suppose 4*g + 4*s - 248 = 28, 4*g = 2*s + 306. Calculate the highest common factor of 111 and g.
37
Let x(o) = 11*o + 4. Let s(y) = -6*y - 2. Let p(d) = 5*s(d) + 2*x(d). Let j be p(-7). What is the highest common divisor of 6 and j?
6
Suppose -4*f + 70 = -8*v + 5*v, -2*v - 4 = 0. Calculate the highest common factor of 3 and f.
1
Let d = 99 + 342. What is the greatest common factor of 126 and d?
63
Let s be (-188)/(-4) - 6*4/6. Suppose 37*d - s*d + 18 = 0. Calculate the greatest common factor of d and 18.
3
Let d(m) = m**2 - 11*m + 42. Let i be d(14). What is the highest common divisor of 294 and i?
42
Suppose r + 3*r = 0. Let j(p) = 8 - p + 0*p**2 + 2 + p**2 + r. Let a be j(0). What is the greatest common divisor of 20 and a?
10
Let s = 35 + 9. Let v = 278 + -212. What is the highest common factor of s and v?
22
Suppose -4*l = -f - 512, 0 = -4*f + 2 + 14. Let h = -60 + l. Suppose 0 = -p + 4*w - 11, -4*p - w = -h + 28. What is the highest common factor of p and 1?
1
Let m = 18 - 11. Let s be (318/(-795))/(2/(-5)). Calculate the greatest common factor of m and s.
1
Suppose -176*k + 182*k - 126 = 0. Let d(s) = s**3 - 4*s**2 - 4. Let n be (-5)/(-1) + (-1 - -1). Let z be d(n). What is the greatest common divisor of z and k?
21
Suppose -12 + 2 = -10*s. Let k(c) = 396*c**2 + 5*c - 5. Let j be k(s). What is the greatest common factor of j and 36?
36
Let m be (0 - -2)*(-11)/(-2). Let n(u) = 124*u**2 + 6*u + 3. Let q be n(-1). What is the greatest common divisor of q and m?
11
Suppose -41*x + 72 = 4*h - 37*x, -4*x - 96 = -4*h. What is the highest common factor of h and 399?
21
Let k(y) = y**2 + 4*y - 16. Let p be k(-6). Let s be (p/(-8) + -1)*-30. What is the highest common divisor of s and 5?
5
Let q(g) = g + 28. Let w be q(0). Let j = -102 + 410. Calculate the greatest common divisor of j and w.
28
Let f = 1087 + -1078. Calculate the highest common divisor of 23 and f.
1
Let q be 2/4*138 + (2 - 3). What is the highest common divisor of q and 4?
4
Let f(s) = 4*s**2 - s - 2. Let w be f(-1). Suppose w*i + 108 = 6*i. Calculate the greatest common divisor of i and 180.
36
Let r(s) = s**2 + 17*s + 86. Let n be r(-15). Calculate the greatest common divisor of n and 16.
8
Let c(m) = | {
"pile_set_name": "DM Mathematics"
} |
e -50*u + 286 = -14 for u.
6
Solve n - 2 = -7 for n.
-5
Solve -42 = -398*r + 384*r for r.
3
Solve -3*b - 2*b = 0 for b.
0
Solve -5*z - 37 = -37 for z.
0
Solve -5*c = 4*c - 27 for c.
3
Solve -3*d + 98 = 113 for d.
-5
Solve 3*p - 23*p - 100 = 0 for p.
-5
Solve -25*j - 44 = 19*j for j.
-1
Solve 16*o + 42 + 6 = 0 for o.
-3
Solve 0 = n + 20 - 16 for n.
-4
Solve -2*n = 7*n + 9 for n.
-1
Solve -5*t + 2*t + 6 = 0 for t.
2
Solve -32*z = -28*z - 4 for z.
1
Solve 47*u = 58*u + 66 for u.
-6
Solve 16 - 16 = 3*l for l.
0
Solve -174*l = -162*l - 72 for l.
6
Solve 63*v - 71*v + 48 = 0 for v.
6
Solve 3 - 27 = 8*f for f.
-3
Solve -2*a + 12 - 16 = 0 for a.
-2
Solve 1 = 9*p - 26 for p.
3
Solve -13 = 3*x - 25 for x.
4
Solve 8 = -11*k - 47 for k.
-5
Solve 5*r - 13 = 7 for r.
4
Solve 11*a = 33 - 44 for a.
-1
Solve 19*u = 41*u - 154 for u.
7
Solve -10*j = -26*j - 48 for j.
-3
Solve 102*c = 98*c for c.
0
Solve -2*w - 2*w = -8 for w.
2
Solve -4*r + 162 = 182 for r.
-5
Solve 54 = -f + 54 for f.
0
Solve 0*p = 6*p for p.
0
Solve 60 = -36*p + 24 for p.
-1
Solve -108*c + 25 = -113*c for c.
-5
Solve -2766*x = -2769*x - 27 for x.
-9
Solve -46*f = -48*f + 12 for f.
6
Solve -6*f + 4*f - 8 = 0 for f.
-4
Solve 0 = 29*g - 10 - 77 for g.
3
Solve -34 + 14 = -5*t for t.
4
Solve 11*p + 4*p = 60 for p.
4
Solve -8*r = -2*r - 6 for r.
1
Solve 2 = 7*f + 16 for f.
-2
Solve -3*c + 10 = -8*c for c.
-2
Solve 7*m = 36*m - 58 for m.
2
Solve 12 = 119*q - 123*q for q.
-3
Solve 3 = -12*j + 11*j for j.
-3
Solve 22*i - 479 + 545 = 0 for i.
-3
Solve 0 = 7*l + 48 - 55 for l.
1
Solve s - 13 = -8 for s.
5
Solve -16*p + 44 = -52 for p.
6
Solve -11*o + 2355 = 2366 for o.
-1
Solve 0*w + 65 = -13*w for w.
-5
Solve 9*c = -9*c + 36 for c.
2
Solve -14*g = -11*g + 9 for g.
-3
Solve -6*u = 91 - 43 for u.
-8
Solve -3 = 5*l + 7 for l.
-2
Solve 0 = -2*u + 7*u - 15 for u.
3
Solve 62*l + 33 = -29 for l.
-1
Solve -8 - 16 = -12*z for z.
2
Solve -3*m + 140 - 152 = 0 for m.
-4
Solve -x + 5*x = -5*x for x.
0
Solve -2*w = -4*w + 8 for w.
4
Solve -20 = 21*n - n for n.
-1
Solve 0 = -4*j - 0 + 4 for j.
1
Solve -20*k + 8 = -16*k for k.
2
Solve 5*d + 332 = 302 for d.
-6
Solve 26*d + 29*d = 52*d for d.
0
Solve -42*v + 28*v = -28 for v.
2
Solve -13*z - 107 = -81 for z.
-2
Solve 0 = 5*y - y + 8 for y.
-2
Solve 0 = -27*z + 28*z - 8 for z.
8
Solve 0 = 183*h - 179*h - 4 for h.
1
Solve -8 = -4*r - 24 for r.
-4
Solve -4471 = 3*f - 4444 for f.
-9
Solve 330*z = 329*z - 4 for z.
-4
Solve 6*a + 10 = a for a.
-2
Solve -3 - 1 = -m for m.
4
Solve 52 = 15*d - 23 for d.
5
Solve 0 = 3*h + 3 for h.
-1
Solve -17*l + 34*l + 8*l = 0 for l.
0
Solve 0 = -6*b + 5*b - 2 for b.
-2
Solve 18*a - 211 = -247 for a.
-2
Solve 136*l - 33*l = 412 for l.
4
Solve -6*m = -10*m - 20 for m.
-5
Solve 0 = 2*g + 101 - 95 for g.
-3
Solve -35*h - 2*h = -259 for h.
7
Solve -2*z - 14*z = 16 for z.
-1
Solve 15 = 12*u - 33 for u.
4
Solve -513 = -62*p + 5*p for p.
9
Solve 140*y - 6 = 141*y for y.
-6
Solve 8*f + 37 = -3 for f.
-5
Solve -15 = -50*k + 53*k for k.
-5
Solve 27 - 27 = -4*i for i.
0
Solve 19 = -22*j - 47 for j.
-3
Solve -13*b = -170 + 79 for b.
7
Solve -27*m - 137 - 25 = 0 for m.
-6
Solve 0 = -3*r - 10*r + 13 for r.
1
Solve 68*a = 86*a - 18 for a.
1
Solve -19 = -5*j + 6 for j.
5
Solve -5*a + 11 = 6*a for a.
1
Solve 19*t - 168 = 47*t for t.
-6
Solve -8*j - 7 = -j for j.
-1
Solve 0 = -62*n + 61*n - 7 for n.
-7
Solve -5*q - 15 = -2*q for q.
-5
Solve -23*a = a - 120 for a.
5
Solve 124*r = 85*r for r.
0
Solve 0 = -13*s - 81 + 16 for s.
-5
Solve -210*z + 205*z = 0 for z.
0
Solve 0 = -61*a + 42*a - 152 for a.
-8
Solve 0 = -15*u + 50*u for u.
0
Solve -16*z = -18*z + 8 for z.
4
Solve -11*g - 12 = 10 for g.
-2
Solve -51*k + 36 = -47*k for k.
9
Solve -47*h + 52*h + 20 = 0 for h.
-4
Solve -38*y = -19*y + 95 for y.
-5
Solve 19*z = 49 - 11 for z.
2
Solve 10*v - 2 = 8*v for v.
1
Solve -182 = 4*p - 202 for p.
5
Solve -o - o = -10 for o.
5
Solve 12*d + 40 = 28 for d.
-1
Solve 0 = -7*t + 27 - 62 for t.
-5
Solve -28*h - 174 = h for h.
-6
Solve d + 9*d = -30 for d.
-3
Solve 0 = 23*v - 18*v + 10 for v.
-2
Solve -54*q + 88 = -98*q for q.
-2
Solve 35*v = 11*v + 72 for v.
3
Solve -60*c + 21*c + 195 = 0 for c.
5
Solve -42*a = -40*a + 10 for a.
-5
Solve 24 - 134 = 11*g for g.
-10
Solve -2*c = -c - 3 for c.
3
Solve -64*y - 210 = -34*y for y.
-7
Solve -59*u - 26 = -46*u for u.
-2
Solve 22*m = 3*m - 57 for m.
-3
Solve 515 - 452 = -7*q for q.
-9
Solve -5*j - 17 + 42 = 0 for j.
5
Solve 0 = -7*n + 52 - 73 for n.
-3
Solve 451*a = 450*a + 9 for a.
9
Solve -18*c = -21*c + 3 for c.
1
Solve -23*c + 25 = -18*c for c.
5
Solve 0 = 32*z - 45 - 83 for z.
4
Solve 81 = 2*b + 7*b for b.
9
Solve 24 = -7*d + 52 for d.
4
Solve -31 = -17*d - 116 for d.
-5
Solve 68*t - 26*t = -126 for t.
-3
Solve -16*o = -11*o - 25 for o.
5
Solve 2*b - 6 = -10 for b.
-2
Solve 2*p - 16 = -16 for p.
0
Solve 0 = 21*l - 12 + 33 for l.
-1
Solve b = -4 - 4 for b.
-8
Solve 4*z = 10 - 6 for z.
1
Solve -2*x + 8*x = -24 for x.
-4
Solve -4*s - 118 = -106 for s.
-3
Solve -223 - 71 = -42*i for i.
7
Solve 5*g + 15 - 35 = 0 for g.
4
Solve 10*w - 7 - 3 = 0 for w.
1
Solve 8*b = 2*b - 24 for b.
-4
Solve 245*t - 255*t = 100 for t.
-10
Solve 48 = 31*k - 15*k for k.
3
Solve 0*t = 8*t + 8 for t.
-1
Solve -35 + 51 = -4*n for n.
-4
Solve 11 = -2*r + 5 for r.
-3
Solve -401*m = -400*m - 2 for m.
2
Solve -14*y + 188 = 230 for y.
-3
Solve 0 + 30 = -6*n for n.
-5
Solve 54*n + 15 = 57*n for n.
5
Solve 0 = -3*g - 27 for g.
-9
Solve 556*d - 5 = 561*d for d.
-1
Solve v = 17*v - 64 for v.
4
Solve -11 = -w - 7 for w.
4
Solve 20*r - 26*r = -12 for r.
2
Solve -17 = -4*a - 1 for a.
4
Solve -21 + 27 = 2*q for q.
3
Solve -152 = 40*o + 88 for o.
-6
Solve -2*s + 3 = 5 for s.
-1
Solve 0 = 7*i - 23*i + 48 for i.
3
Solve 397 = -50*p + 197 for p.
-4
Solve 22*i = 17 + 5 for i.
1
Solve -33 = -5*p - 28 for p.
1
Solve 21*y + 118 = -50 for y.
-8
Solve 2693 - 2675 = -9*d for d.
-2
Solve -6*s = 2*s + 48 for s.
-6
Solve 15 + 97 = 16*o for o.
7
Solve 0*r = -6*r + r for r.
0
Solve -8*o + 368 = 360 for o.
1
Solve 0 = 10*b - 207 + 277 for b.
-7
Solve 0 = -2*t - 28 + 18 for t.
-5
Solve -25*o + 28*o = -3 for o.
-1
Solve -15*d - 15 = 45 for d.
-4
Solve -19 - 133 = 38*h for h.
-4
Solve 72 = -23*s + 210 for s.
6
Solve -6*o + 36 = 30*o for o.
1
Solve 2*b = -20*b + 22 for b.
1
Solve -201 = -69*k - 63 for k.
2
Solve 43 = -5*s + 18 for s.
-5
Solve -6 = -11*a + 49 for a.
5
Solve 15*r - 16*r - 1 = 0 for r.
-1
Solve -42*f + 21 = -49*f for f.
-3
Solve 8*v + 10 = 10*v for v.
5
Solve -36*b + 105 = -39 for b.
4
Solve -u + 10 = u for u.
5
Solve 24*y - 32 = 8*y for y.
2
Solve 0 = -3*d + 4*d + 4 for d.
-4
Solve -901*f - 42 = -908*f for f.
6
Solve 1 - 55 = -27*k for k.
2
Solve 0 = -3*c - 4*c + 4*c for c.
0
Solve 34*y - 6*y = -0*y for y.
0
Solve 4*d = 212 - 252 for d.
-10
Solve 0*y = 5*y - 20 for y.
4
Solve 0 = 7*j + 19 + 16 for j.
-5
Solve 0 = 27*h - 76*h for h.
0
Solve -9*x + 28 = -16*x for x.
-4
Solve 0 = 352*z - 317*z - 350 for z.
10
Solve 723 = -58*l + 143 for l.
-10
Solve -2*b - 4*b = -18 for b.
3
Solve 14*c - 51 = 5 for c.
4
Solve -6*m + 4 = -7*m for m.
-4
Solve -4*r + 5 = 1 for r.
1
Solve 160 = 6*g - 26*g for g.
-8
Solve 1570*j = 1546*j - 48 for j.
-2
Solve -25 = -41*b + 98 for b.
3
Solve -21 = 19*k - 2 for k.
-1
Solve 3 = 6*j - 3 for j.
1
Solve 5*r = 44 - 29 for r.
3
Solve 0*w = 40*w - 280 for w.
7
Solve 2*n - 8*n = -24 for n.
4
Solve 6*s = 15 + 9 for s.
4
Solve 7 = 7*u - 7 for u.
2
Solve 2*x = -111 + 125 for x.
7
Solve 0 = -11*x + 45 - 12 for x.
3
Solve 23*z = 19*z - 32*z for z.
0
Solve -2185*c = -2176*c - 72 for c.
8
Solve -13*k + 20 = -33*k for k.
-1
Solve -6*x + 7 = x for x.
1
Solve -26 = -5*p - 11 for p.
3
Solve 25 = -0*p - 5*p for p.
-5
Solve -25*k = -23*k + 6 for k.
-3
Solve 0 = o + o - 4 for o.
2
Solve -151*b + 146*b + 50 = 0 for b.
10
Solve 0 = 6*q - 0*q for q.
0
Solve -5*s - 7*s - 24 = 0 for s.
-2
Solve -13*j = 8*j - 105 for j.
5
Solve 179*p + 56 = 171*p for p.
-7
Solve 23*g = -4 - 19 for g.
-1
Solve 8*x - 3 = 7*x for x.
3
Solve 14*z = 19*z - 15 for z.
3
Solve -50*g + 47*g = 9 for g.
-3
Solve -2*c = 2*c - 4 for c.
1
Solve -13*n + 120 = 16 for n.
8
Solve 17*x + 7 = 10*x for x.
-1
Solve 15*t + 44 - 119 = 0 for t.
5
Solve -2*w + 4*w = 2 for w.
1
Solve 9*y - 601 = -637 for y.
-4
Solve 0 = 3 | {
"pile_set_name": "DM Mathematics"
} |
3).
-25/4
What is ((-10010)/150150)/((-8)/(-20)*(-3)/(-4))?
-2/9
What is the value of 16/180*(-8)/((-2048)/288)?
1/10
Calculate (-114)/(-11172)*-56 + ((-151)/(-7) - 1).
20
(1*(-4)/36)/((3420/288)/95)
-8/9
What is (8 - 14 - -45) + (-2065)/63?
56/9
Evaluate (-12)/(-24) + (-1320)/1936.
-2/11
What is (-73440)/560 + 824/(-309)*9/28?
-132
What is the value of (1738/5214)/(2/(-618))?
-103
Calculate (0 - 5/(-20))*(-6 - -7) - (-1357)/92.
15
12/(-27)*220/(-88)*3/6
5/9
What is 308/(-22) + 54180/3906?
-4/31
Evaluate (56/132)/(-1) + (-63)/(-84546)*122.
-1/3
Calculate 516/(-247981) - (-62)/2263.
2/79
-2 + (-984)/51 - (-63840)/3040
-5/17
(1296/(-2340))/(((-40)/(-440))/(5*1/11))
-36/13
What is the value of (4 + ((-336)/(-54) + -6)*3)/(904/339)?
7/4
What is the value of (794725/10458 - 41) + -35?
-1/126
Evaluate 12/(-21)*(-53466)/(-4020).
-38/5
What is ((-374)/102)/((-385)/(-21)) + (223/90 - 2)?
5/18
What is 12351/20585 + (-518)/21*(-2)/((-40)/(-6))?
8
55/187*1020/(-425)
-12/17
Calculate (78 + 47 + -126)*(1 - 8*12).
95
Evaluate (479560/587461)/(-1 - 5/(-7)).
-20/7
Calculate (-56)/1155*300/(-240).
2/33
Evaluate ((-28)/(-28455))/((-6)/(-60))*((-3375)/(-60))/(-75).
-2/271
What is 35 + 10944/(-570) - 4/5?
15
Evaluate (-88 - (7 + -27)) + 120.
52
What is 2493 - 2511 - 1*(-6845)/380?
1/76
(-15)/(-70)*(175958/(-1164) - -151)
-1/28
Calculate (-27 + (-27346)/(-990))*50/20.
14/9
Evaluate (6/(-18))/((-10)/60) + ((-1665)/(-54))/(-5).
-25/6
What is ((-64032)/(-609))/(-92) + (-423)/(-21)?
19
What is the value of ((-126844)/2185 - -58)*(-60)/(-108)?
-2/69
-21*(-29)/34104*(5 + 3)
1/7
Evaluate (399/38 - (-4)/(-32))*(20 + -12).
83
(1326/(-168) - -5*(-24)/(-160)) + 6
-8/7
Evaluate ((-136)/(-6))/(11312/909 - 12).
51
3504/(-16206)*(-10 - 64)
16
What is the value of 5/(-15)*(-216)/(-40)*90/(-513)?
6/19
(-2 - -24)/(-3*(-36)/(-162) - 0)
-33
What is the value of (-2)/35*-39 - ((-96664)/(-6020))/(-281)?
16/7
Evaluate (-141 - (-1137131)/8051)/(10 - 0).
2/83
What is (0 + (-3)/(-4))*2076/17127 - 0?
1/11
What is the value of (-101 - -109) + -4 + (-15)/3 + -6 + 0?
-7
What is the value of (-108)/1863*-92 - (0/23 - 4/6)?
6
Evaluate ((-2)/532)/((-32362)/111796).
1/77
Evaluate 1310*(-30)/(-900) - (2 - 2/6).
42
701645/(-28665) + 24 - (174/(-39) - -4)
-1/63
100192/212908 - (-3495)/(-51)*-1
69
What is the value of 31977/627 + 20692/(-406)?
1/29
25*(-80)/(-19000) - (2 + (-1842)/190)
39/5
(644*18/63)/8
23
What is (3984/3320*5*1)/((-6)/20)?
-20
(8 - 3)/(80/(-672))
-42
What is -38*(6/18)/(6*5/90)?
-38
Evaluate (0 - 152/26)*(-105612)/5416.
114
Evaluate (-87 - (74 + -142)) + 59/3.
2/3
What is the value of -348*(-40 + 2068/132 + 24)?
116
What is -37 + 67/((-4020)/(-720))?
-25
What is (525/(-210)*2/5)/((-7421)/(-41))?
-1/181
What is the value of 259*(-9398)/31598 + 77?
-2/61
What is the value of (0 + 6/(-5))/(((-754)/(-975))/29)?
-45
Calculate 68/(-714)*(-29 - (2 - -4)).
10/3
-57*(-6 + 5) - 2079/63
24
What is 1 + 20/(-120)*24 - (-5)/((-75)/(-9))?
-12/5
What is (-371)/((-938630)/345) + 2285/22?
104
What is -8*((-12)/(-480))/(1/(-2)) - (-432)/(-105)?
-26/7
Evaluate 10*(1/(-10) + ((-4)/20)/1).
-3
Calculate (424/(-16) + (-1)/(-6))*(19229 - 19232).
79
Evaluate (((-2)/24)/(142/1278))/(10/4).
-3/10
Evaluate (8/(-14))/((-4)/(-2842)*(99 - (137 + -31))).
58
What is 3/2*((-6)/1554)/((-141)/(-329))?
-1/74
Calculate (1940 + -1944)/(((-476)/(-236) + -2)*-2).
118
What is the value of (((-4)/42)/(8/12))/(((-9579)/(-50127))/(-103))?
77
(40/(-14))/(4/(-56))*(-308)/(-2464)
5
Calculate ((-16)/(-3536)*17)/((-63)/630).
-10/13
9/28 - (-10 - (-273)/28) - 5940/9660
-1/23
What is the value of (305/915)/(4 - (-291)/(-72))?
-8
What is the value of 6762/(-1176) + (-230)/(-40)?
0
2/((-16)/15) + 434/3472
-7/4
Evaluate 10*16*(-31)/220720.
-2/89
(-4900)/812 - (5 + -19 + 8)
-1/29
(2 - (81 + -48)) + (-4515)/(-168)
-33/8
Calculate (((-32769)/2772)/331)/((-11)/((-154)/20)).
-1/40
Calculate (30/40)/((-3)/17*27*(-16)/(-5184)).
-51
(-15 - 1092/(-70))/((-24)/(-36)*(-6)/340)
-51
What is the value of 7/14*600/(-108) + ((-6)/3 - -7)?
20/9
Calculate (3/((-30)/(-695)))/(7/56*-4).
-139
Calculate 90/(-135) + (-41)/(-3) + 3*-13.
-26
(4 + 1)/((-4998)/(-4284))
30/7
Evaluate (0 + 1 - -2)/((-11)/(-44) + 432/(-1216)).
-57/2
(340/20 + -20)/(18/12) - 4/(-3)
-2/3
What is (1586/(-260))/((-3)/30) + -15 + -1?
45
What is the value of 22/(-3)*(((-2)/10)/1)/((-1832)/27480)?
-22
What is the value of ((-5)/(-250))/(293/5860)?
2/5
Calculate ((-51)/12 + 5 + (-3055)/260)*10/(-2255).
2/41
Evaluate 1 + -36 - (3344 + -3321).
-58
What is ((28 + (-11850)/425)*(2 - 3))/2?
-1/17
-9*(1/((-15)/40))/(6/(-9) + 0)
-36
2220 - 2240 - (-996)/50
-2/25
What is the value of 1 - (-2938)/140 - 38346/1743?
-1/70
What is the value of 150*3*30/270?
50
Evaluate (-3084)/378 - -6 - (6 + 414/126 + -9).
-22/9
Evaluate 1/((-20)/(-924))*1 + 16*47/940.
47
(-2)/8 - 189/56 - ((-67 - -29) + 34)
3/8
148/35 - (-139)/((-26271)/(-108))
24/5
Calculate ((-850)/(-210) + -4)/(5/35)*-51.
-17
-14 + (-273)/(-70) - 7/(-70)
-10
What is the value of ((-17316)/(-2664))/((-39)/(-20))?
10/3
Evaluate -117 - 92667/(-790) - 33/10.
-3
4/(-54) - (-70)/((336960/(-75))/(-64))
12/13
24 - (18894/871 + 2)
4/13
Calculate (-16479882)/(-1553670) - (-8)/(-1132).
53/5
Calculate 4461/(-37175)*(1 - 5/3) - 3354/50.
-67
(-53 + 5)/(-3) - 161785/10127
1/41
What is (280/75)/(912/6840)?
28
9/4*(2 - -38 - 11696/129)
-114
What is (2/(16/6) + -1)/((-42)/(-336)*-63)?
2/63
What is (2/(-3))/((82 + -72)*((-27)/(-12) - 2))?
-4/15
Calculate ((-15)/(-45))/((-12)/18) - (6 - (-675)/(-126)).
-8/7
What is 7018/(-484)*(-2)/(-1)?
-29
Evaluate 18/(-4773) + 31060/(-740) + 42.
1/43
Calculate -61 - (2329/(-1096))/((-2)/16).
-78
356/160734*-43 + 1 + 2188/42
53
What is (-18)/3 + (125 + -128)*(-2 + 2 + -2)?
0
What is (-6)/(((-1776)/(-390) - 4) + (-10)/25)?
-39
Evaluate ((-140)/(-270))/14 + (-485)/2160.
-3/16
(168/406)/(1770/5133)
6/5
Calculate ((-44)/(-22) - 3)*(-5 - (-138)/10).
-44/5
((-16)/1 + (-17174)/(-1085))*10/(-18)
2/21
Evaluate 2 + 6 + -20 + (-25 - (-10 + -16)).
-11
What is 2/17 - (7716/9002)/((-1411)/(-154))?
2/83
Evaluate 2/(-5) + 9411/(-135) - (63 - 47712/756).
-70
What is (-2636 + 2368)*-1*(-1)/4?
-67
Calculate 14/105*3*-15 - (-255)/60.
-7/4
Calculate ((-1302)/(-8))/((-36876)/(-21072)).
93
What is (39525/(-310))/((-10)/(-4))?
-51
130/50 + (192/(-80))/(-3)*103
85
Evaluate (8*(-42)/1120*(-61 + -1))/(9/30).
62
Calculate 274 + -268 - -7*3.
27
Evaluate (280 - 277)/(6*(-8)/1888).
-118
What is the value of 628/(-28) - (7 - 1380/46)?
4/7
What is 13 + (-220)/33*(-3)/2?
23
((-11)/(-21))/(25014/6822)
1/7
(-8 - (-5 - 8))*259/35
37
What is the value of (-218)/18 - (342 - 353)?
-10/9
What is 9450/(-585) - 39 - -55?
-2/13
(-109 + -1)/(42/22 + (-16416)/(-528) + -31)
-55
Calculate -9*(-1)/(-2)*(-9 - (-50)/(60/(-6))).
63
Calculate (-16473)/(-255) + 18*3/135.
65
Calculate -8*(277178/(-5544) + 50).
-2/63
Evaluate 28/(-35) - 45/(7200/752).
-11/2
Calculate -19 + 24 - (-1 + (-6 - -16)).
-4
What is the value of 1/(-14)*(-10 + -9 + 23)?
-2/7
What is the value of ((-510)/(-340))/((-75)/10)?
-1/5
What is (-24)/3 + 60 + 0 + -16*(-24)/(-32)?
40
What is ((-1860)/7440)/(1/(-212))?
53
(-289)/4 - 24926/9064
-75
What is (62868/6084)/((-124)/12)?
-1
Calculate (-6116)/264 + 748/34.
-7/6
(-3 + (-674)/(-120) + (-9)/12)*10005/2001
28/3
Calculate (2/(-18) - 1)*((-10)/9 + 4213503/3864105).
2/87
What is the value of 7*(-14 + (-1950)/(-91) - (0 - -7))?
3
(24 + (-1329768)/54395 + 2/43)*65
-26
Calculate 88/(-15)*(-585)/1482*19.
44
Evaluate (34 - (-15950)/(-464))/((-10)/(-4) + 4/(-4)).
-1/4
What is the value of (-316332)/7272 - (4/(-2) - 2/(-4))?
-42
Evaluate 143/5 - (275/375)/((-22)/(-18)).
28
(-14970)/97305 - (-1 - (-1202)/1482)
2/57
Calculate 18/8*(1008/(-54) + 20) - 53.
-50
Evaluate (-2634)/102 - -26 - 24628/(-799).
31
1776/(-555) - (4851/(-55) + 11)
74
Calculate 69*68/119646 - 552/(-9333).
6/61
(((-4)/184)/(18/(-120)*-10))/(1/(-6))
2/23
190*(-442)/(-816) - 4/(-48)
103
What is the value of (39/(-4))/(18837/(-25116))?
13
Calculate 248/(-66) + ((-11)/(-3))/((-2004)/(-2004)).
-1/11
What is (7/182*4 + 25668/468)*1?
55
(-10)/(-4)*-4 - 767/(-30 + -29)
3
What is the value of 45 - 1575/(-231) - 6/(-33)?
52
What is (-2091078)/(-46728) + 1/(-3)*(-9)/12?
45
What is ((6/14)/(32/(-14)))/(10570 - 10572)?
3 | {
"pile_set_name": "DM Mathematics"
} |
109 for w.
19
Solve 1497 = 152*v + 12134 + 1371 for v.
-79
Solve 0 = 5329*c - 5423*c - 4982 for c.
-53
Solve 1784 = -96*c - 1576 for c.
-35
Solve -490*r - 396*r - 1538 = 176*r + 1648 for r.
-3
Solve -194*o + 49*o = -57*o - 54*o - 204 for o.
6
Solve 164*p + 44*p + 3691 = 2*p + 13991 for p.
50
Solve 700*n - 4698*n + 17787 + 35873 = 1368*n for n.
10
Solve 0 = -513*f + 6168 + 501 for f.
13
Solve 2509704*c - 2509517*c - 20570 = 0 for c.
110
Solve 96*w - 27*w - 35*w - 130 = 312 for w.
13
Solve -681*u - 4776 = -3414 for u.
-2
Solve -61*h + 14 = 26 + 63 + 47 for h.
-2
Solve 0 = -1178518*s + 1178320*s + 9900 for s.
50
Solve 14241 + 14079 + 2051 = -934*u - 2319 for u.
-35
Solve 74*a + 1394 = 147*a - 39*a for a.
41
Solve -812 - 2354 - 9884 = -209*f - 92 for f.
62
Solve 1184 + 6230 - 230 + 796 = -399*n for n.
-20
Solve 1576*v - 2004*v = -41088 for v.
96
Solve 0*t + 373*t + 49690 = -794*t - 5159 for t.
-47
Solve 3161*o + 8480 + 80047 = -60040 for o.
-47
Solve -63*g + 107*g + 17190 = 388*g + 38*g for g.
45
Solve 255147581 - 255158167 = -79*r for r.
134
Solve 47627 + 100876 = 2517*p for p.
59
Solve 3890*g + 111130 + 79460 = -21445 - 1915 for g.
-55
Solve -324 = 4075*k - 4093*k for k.
18
Solve 235*g + 191*g = -169*g + 12495 for g.
21
Solve 79629 = -11059*c + 8663*c - 73715 for c.
-64
Solve 10962 = 426*z + 345*z + 898*z - 103*z for z.
7
Solve 327*b - 2778 - 31192 = 516*b + 601*b for b.
-43
Solve -43217 = 152*p - 2031*p for p.
23
Solve 0 = -36*v + 20377311 - 20378247 for v.
-26
Solve 2185*p + 1315*p + 2291*p + 503006 = -2322*p for p.
-62
Solve 56546*l - 56871*l + 3900 = 0 for l.
12
Solve -127*s + 2562 = -6488 + 795 for s.
65
Solve -2385*b - 355*b - 170039 = -33039 for b.
-50
Solve -2477*r - 92003 = 78909 + 34679 for r.
-83
Solve -171*s = 12774 - 12432 for s.
-2
Solve -73*j + 1 = 85*j + 357 + 118 for j.
-3
Solve 207684 = 12404*p + 62585 + 393134 + 508609 for p.
-61
Solve 76*m + 487 = 39*m + 99*m - 1125 for m.
26
Solve 441*x - 237*x = 1020 for x.
5
Solve 8146*y - 418316 + 29123 - 115859 = 0 for y.
62
Solve 184*c + 4744 = 355*c - 1583 for c.
37
Solve -19*o = 11647 - 11533 for o.
-6
Solve 1092*i - 442*i = -10251 + 2390 + 62461 for i.
84
Solve -21*j - 15*j + 49*j = 20*j + 42 for j.
-6
Solve 212*h = 58*h - 470*h + 15469 - 493 for h.
24
Solve 1308428 = -64*l + 1305164 for l.
-51
Solve -25609*o + 25627*o + 373 = -275 for o.
-36
Solve -275*s - 3066 - 7112 = -553 for s.
-35
Solve 0 = -700*f + 837*f - 2740 for f.
20
Solve -255*a + 500*a = 273*a - 364 for a.
13
Solve -246*f = -13040 - 1874 - 6734 for f.
88
Solve 281 - 1378 = 460*w + 283 for w.
-3
Solve -297*n - 6*n + 1822 = -147*n + 10090 for n.
-53
Solve -1047783*i - 66 = -1047762*i + 648 for i.
-34
Solve 119*k + 616*k = 206*k - 28037 for k.
-53
Solve 632*f - 29102 = 21458 for f.
80
Solve 13454 = -51143452*j + 51143018*j for j.
-31
Solve 1009 + 2217 = 256*n - 178*n + 886 for n.
30
Solve -1335*w - 32752 = -88484 - 60191 - 222 for w.
87
Solve -4331*j + 4103*j = -10488 for j.
46
Solve -7*a - 151810 = -3237*a for a.
47
Solve 3304*p + 3168 = 3376*p for p.
44
Solve 591*q = -103*q - 30536 for q.
-44
Solve -4040*d = 18760 - 20283 - 79277 for d.
20
Solve 371*h + 603664 = -4091*h - 5946*h for h.
-58
Solve -28797 = -2035*z - 8129 + 11892 for z.
16
Solve -548*z + 2444 = -595*z for z.
-52
Solve -3162*f - 358935 = 1643*f - 70635 for f.
-60
Solve -2676*j - 95504 - 121252 = 0 for j.
-81
Solve 699 + 103 = -66*t + 112 - 1752 for t.
-37
Solve -23*x - 3945 = -4037 for x.
4
Solve 369264 - 85392 = -2957*p for p.
-96
Solve -18*w - 1320 = -31*w - 18*w - 9*w for w.
33
Solve -97*p - 6382 + 8389 = -582*p + 23832 for p.
45
Solve 279*y = -613*y - 198*y - 49050 for y.
-45
Solve 57*g + 96*g + 100*g - 10176 = 61*g for g.
53
Solve 16085 + 16082 - 32185 = -9*g for g.
2
Solve -5980 - 36618 = -308*s - 365*s - 2218 for s.
60
Solve -4527*p = -888*p - 189228 for p.
52
Solve 0 = 17808*k - 17723*k + 1615 for k.
-19
Solve -149*z + 8390 + 13762 = 239*z + 424 for z.
56
Solve 4247 - 2074 = -57*p + 976 for p.
-21
Solve -1753*y + 5201 + 4546 = 2569 - 6846 for y.
8
Solve 0 = 874*m - 103*m + 17733 for m.
-23
Solve -169068546*z + 11016 = -169068342*z for z.
54
Solve 93*w + 1132*w - 40888 = 149*w for w.
38
Solve -2038*i - 1967*i - 1992*i + 6071*i = -5476 for i.
-74
Solve -18925 + 5619 = 85*u - 7866 for u.
-64
Solve -4535*y - 98*y + 436*y - 20327 = 67810 for y.
-21
Solve -100345*h + 100515*h = 1190 for h.
7
Solve -3133*r - 15682*r - 12501*r = -4745*r + 318852 for r.
-12
Solve 408*q + 5591 + 62811 = -1079*q for q.
-46
Solve -1452*i + 33345 = 1113*i for i.
13
Solve -159*r - 49*r = 115*r - 212*r + 12099 for r.
-109
Solve 173*r - 367*r = 2612*r + 168360 for r.
-60
Solve -220*q - 2197*q + 171700 = 1154*q - 137*q for q.
50
Solve 1048*s = 2401*s - 13530 for s.
10
Solve -874*l - 1458*l + 26191 = -69202 - 23539 for l.
51
Solve -2188*p - 1573*p = 5479*p - 887040 for p.
96
Solve 228*s - 10226 - 3256 = -414*s for s.
21
Solve -431*m - 355*m = -96*m - 60030 for m.
87
Solve -11424*f + 313234 - 121778 = -448288 for f.
56
Solve 580*c - 209*c = 192*c + 504 - 15898 for c.
-86
Solve -707*b + 11144 - 29526 = 0 for b.
-26
Solve 5244 = -3118202*b + 3117765*b for b.
-12
Solve -93*w - 106*w - 410*w + 29232 = 0 for w.
48
Solve -34*y - 672*y = -53*y - 17803 - 57945 for y.
116
Solve -442 = -112*s + 103 - 4 + 579 for s.
10
Solve -3283*j - 27430 = -652*j + 127799 for j.
-59
Solve 108*z = 22144 - 19984 for z.
20
Solve 1556 = 2059*g - 749*g + 57886 for g.
-43
Solve 1377*a - 3964 + 45824 = -2204 for a.
-32
Solve 73*o + 27 - 165 = 106 + 194 for o.
6
Solve -3*w = 87*w + 41*w - 3144 for w.
24
Solve 1542*q - 37095 = 43089 for q.
52
Solve -276*z + 50*z = 58*z + 635 - 3191 for z.
9
Solve -720 = 38*u - 89*u + 33*u for u.
40
Solve -561*k + 32667 = 1082*k + 15102 - 31725 for k.
30
Solve -5302*w + 234*w - 75924 = 3368*w for w.
-9
Solve 0 = 889*q + 1304*q + 24123 for q.
-11
Solve -109*q + 1075 = 312 for q.
7
Solve -71*y = 5 + 335 + 125 + 742 for y.
-17
Solve 0 = -20*y + 910072 - 911512 for y.
-72
Solve -452*h - 486 = -461*h for h.
54
Solve 50715 = -940*j + 2123*j + 4128*j + 324*j for j.
9
Solve 6004*s + 61908 = 3056*s for s.
-21
Solve -105400331*m + 105400022*m - 4944 = 0 for m.
-16
Solve 74*c - 457 = 2 + 207 for c.
9
Solve 115*m - 13395*m - 2068200 = 5870*m for m.
-108
Solve 0 = 483*o - 421*o - 8469 + 5803 for o.
43
Solve -1890*j + 1712 + 56441 = -26897 for j.
45
Solve -439*o + 318495 = 286009 for o.
74
Solve -56*w + 1503 = 2*w + 9*w - 3589 for w.
76
Solve -783*r + 25133 - 50366 = 37407 for r.
-80
Solve 105*v - 129*v = 58*v + 132 + 2000 for v.
-26
Solve 612*q - 325 = 1191*q - 604*q for q.
13
Solve 0 = 179*v - 75*v + 221*v - 2925 for v.
9
Solve -2062*t = 14133 + 41541 for t.
-27
Solve -492*h = -2303 - 11473 for h.
28
Solve -162936*o - 162994*o - 20544 = -325716*o for o.
-96
Solve -2*o + 45 - 19 = -2 - 46 for o.
37
Solve 94*d - 1229 = -3767 for d.
-27
Solve -121095 = 1911089*g - 1912142*g for g.
115
Solve -114*a + 184*a - 1092 = 96*a for a.
-42
Solve -3176*g - 3466*g = -7030*g + 11252 for g.
29
Solve -10*f - 23 = 56 - 145 - 324 for f.
39
Solve -2325596 = 79*x - 2326860 for x.
16
Solve -260*j = -154*j + 44*j + 450 for j.
-3
Solve 88*v - 10094 + 1223 = -18727 for v.
-112
Solve 1554*a = 3438*a - 1004*a - 132880 for a.
151
Solve -1670*l - 409*l + 40*l + 124928 = -87*l for l.
64
Solve 319*m - 122153 = -762*m for m.
113
Solve 28870385 = 156*h + 28887545 for h.
-110
Solve -1668*p - 2803*p - 45262 = 22078 + 236688 for p.
-68
Solve -1232*m - 44683 = 7061 for m.
-42
Solve -38504*m + 19305*m + 501 = -19327*m + 117 for m.
-3
Solve 360*f - 32224 = -488*f for f.
38
Solve -268*l - 1233 = 296 + 797 - 450 for l.
-7
Solve 453*t = -2280 - 6780 for t.
-20
Solve -66680 = -650*b - 1017*b for b.
40
Solve 2219*o = 24673 - 184441 for o.
-72
Solve -5946*r + 837320 = 804*r + 862*r for r.
110
Solve 93933 = 304*z - 63*z + 89113 for z.
20
Solve -49315 = -123*r - 52636 for r.
-27
Solve 149*v + 73*v = -452*v - 339*v + 115482 for v.
114
Solve 383*q + 366*q - 822*q + 1460 = 0 for q.
20
Solve -1535*a + 2091*a = 37808 for a.
68
Solve 24*g - 534 - 745 = 65*g - 254 for g.
-25
Solve 7*d + 34*d + 19*d - 2760 = 0 for d.
46
Solve -23*q - 18*q - 13*q + 10864 = 7948 for q.
54
Solve 165603 = -3064*h - 143861 for h.
-101
Solve 781*u + 335*u = 26*u - 39240 f | {
"pile_set_name": "DM Mathematics"
} |
t i = 20 - 23. Let t = 8 + i. Suppose -t = -q - 6. Are q and 0 nonequal?
True
Let v be (665/10)/(-7)*-2. Let f be v*4/(-12) - -4 - -1. Let r(y) = y**3 - 5*y**2 - 2*y + 9. Let p be r(5). Is f not equal to p?
True
Let q be (-10)/6*(-5)/((-25)/(-315)). Let v = q + -106. Let a be (-6)/(-8) + v*(1 + 0). Which is greater: a or -1?
a
Let h(d) = 2*d**2 + 36*d - 487. Let w be h(9). Is -84/733 not equal to w?
True
Let m(n) = 66*n**3 - 18*n**2 - 32*n - 97. Let y be m(-3). Is y > -1939?
False
Suppose -104 = -4719*h + 4721*h. Let c(d) = -8*d**3 + 2*d**2 + d. Let t be c(2). Which is smaller: t or h?
t
Let j = -134 - 88. Let p be 63/22*(-740)/j. Which is bigger: 11 or p?
11
Let q = 7.3 - 5.3. Let i = -0.0295 - -3.3295. Which is greater: q or i?
i
Let p = -433.6 + 433.6. Is p less than 798?
True
Suppose 4*k - 3*k - 5*f - 8 = 0, 4*f = -k - 1. Let a(m) = -m + 21. Let z be a(13). Let b be 43/12 + (-2)/z. Which is bigger: k or b?
b
Let c = 12967 + -14933. Which is greater: -1968 or c?
c
Let s be 12/(-36) - 458/(-6). Suppose t - 113 = 2*w, 3*t - 2*w = 263 + s. Which is smaller: t or 1/2?
1/2
Let a = -19608 - -19586. Is -0.4 != a?
True
Let v = 2.325 + 0.015. Let b = v + -5.34. Which is bigger: b or -0.43?
-0.43
Let g = -636 - -817. Suppose -175*n = -g*n. Is -1/153 at least n?
False
Suppose -2 = z, -5*p = -4*p - z + 319. Which is smaller: p or -318?
p
Suppose 642*t = 661*t - 19. Which is smaller: -4/3723 or t?
-4/3723
Suppose 0 = n + 8 - 5. Let y be (-1738)/2370 + (-4)/15. Is y <= n?
False
Let v be (4 + (-10)/3)*(-4 + -2). Let t = 4525/8 + -566. Which is smaller: v or t?
v
Let t = -4124 + 3639. Which is greater: t or -3405/7?
t
Suppose -36426 = -31*o - 47*o. Is 468 != o?
True
Suppose -68*q + 15652 = 3653 - 46345. Which is smaller: q or 862?
q
Let o = -220.51 + 222.57. Which is greater: o or -1/3?
o
Let x(z) = 1 - 12*z - 4 + 15. Let c be x(1). Is c smaller than 1?
True
Suppose -1 - 4 = -5*k. Let g be (-4*3/488)/(14 + -11). Is g bigger than k?
False
Let v = 0.54 + -0.3. Let z = 0.2 - v. Let f be (-2)/(-5) + (-1)/(-10). Which is greater: f or z?
f
Let f = -7035 - -597976/85. Is f at least as big as -0.52?
True
Let w = -15385 + 15462. Which is smaller: w or 20?
20
Let z = 133 + -131. Suppose 0*i + 22 = z*i. Is 56/5 at most i?
False
Let y = 278.21 - 292.9. Let i = 14.09 + y. Let r be ((-3)/(-6))/(1/1). Are r and i equal?
False
Let z be 2220946/185081 - 12/1. Is z <= 0?
True
Let u be ((-6)/(-4))/(36/3872) + 20/(-60). Which is smaller: u or 158?
158
Let l be -8 + (3 - 2) + -1. Let o(i) = i**3 + 6*i**2 - 5*i - 3. Let z be o(-6). Suppose -4*t = -4*p + t - 49, z = -2*p + 3*t. Is p > l?
True
Suppose 0 = g - 1, -88*g = -4*x - 92*g + 8. Is x < 3/16760?
False
Let v = 3226 - 11266. Is -8040 at most v?
True
Let h be ((-21)/3 + 11)*(-1010)/(-4). Is 1009 greater than or equal to h?
False
Let n be 520487/(-65054) - 40/(-5). Which is smaller: n or -1?
-1
Let f = 22 + -109. Suppose 7167 = -100*u - 1633. Is f at most u?
False
Let a be 8/(-276)*-3*8/24. Let q(p) = -p**3 - 4*p**2 + 5*p + 1. Let z be q(-5). Let l = z - 1. Which is bigger: l or a?
a
Let q = 17441 + -7451. Let t be ((q/63)/5)/(8/42). Which is smaller: t or 168?
t
Let w = -8026222/1495 + 69890/13. Let n = -37/5 + w. Let c = -51/115 + n. Are c and 1.5 nonequal?
True
Let t = -49 + 67. Suppose -27*j = -33*j + t. Let q be (j/10)/((-5)/(-40)*-2). Is -2 < q?
True
Let a be (-6)/4*(-8 + 10). Let d be 9*a*175/15. Let u be (-60)/(-72)*(-12)/d. Is u < 1?
True
Let o = 1320 - 1319. Is -20 greater than or equal to o?
False
Let i = 1213.15067 - 0.15067. Which is bigger: i or 0?
i
Let t = -35104573311/2050846 + -12937525/2462. Let r = 22372 + t. Is r at least 0?
False
Let d be 25/(-10)*(-60)/50. Suppose 0 = 5*n + 5*g - 55, -5*n + 9 + 43 = 4*g. Is n <= d?
False
Suppose -x - 3*k - 177 + 549 = 0, x - k - 384 = 0. Are x and 3 nonequal?
True
Let l(y) = 47*y - 70. Let o be l(8). Let g be (12/(-5))/(o/45 - 3). Is g > -1?
True
Let t be ((-2)/(-10))/(28/175)*88/275. Which is smaller: t or -2670?
-2670
Suppose 4*c - 2*a + 98 = 0, -a = 4*c + 2950 - 2849. Is -1974/79 <= c?
False
Let t = 47.729 - 4.729. Is -2/5 at least as big as t?
False
Let p = 251915 + -2769031/11. Is p equal to 184?
False
Suppose -11*s + 16*s - 30 = 0. Suppose 2*i = 3*a + 19, 7 = -5*i + 4*a + 51. Is s < i?
True
Let m be (((-6)/(-13))/(4560/3705))/(38/8). Is -0.049 greater than m?
False
Let k be (-8 - 1748/(-133))/((-4)/(-42)). Is k smaller than 35?
False
Let l = 131.04 + -139.04. Which is smaller: -316/9 or l?
-316/9
Let c be (41/(0 + -1))/((-4)/108). Suppose -2*q - 5*k = -c, 0 = -4*q + 3*k + 1860 + 419. Let l = q + -1783/3. Which is smaller: -29 or l?
-29
Suppose 7*f + 83 = 2*i + 8*f, 5*f = -5. Suppose 4*u = -2*r + i, -4*u + 3*r + r = -12. Is 10 smaller than u?
False
Suppose -17*f - 31233 = -3*a - 20*f, a = -5*f + 10395. Which is greater: 31241/3 or a?
a
Let z be (-784)/(-3024)*(-18)/(-21). Is z at most as big as 7/120?
False
Let k = 6.788 - 19.461. Let h = k - 0.227. Let b = -12 - h. Do b and 2/3 have the same value?
False
Let g(t) = 46*t + 2530. Let v be g(-55). Which is bigger: v or 4906?
4906
Suppose 35067 = -36*k - 14685. Which is smaller: -1385 or k?
-1385
Suppose 4*g = -v + 788, -773 = -v - 2*g + 3*g. Let y = v - 776. Is y at most 12/91?
True
Suppose -241 = -15*t - 196. Is t bigger than 122/51?
True
Suppose 0 = 4*f + 20*v - 25*v + 6765, 2*v - 3382 = 2*f. Let s = -999 - f. Is 690 > s?
False
Suppose 56*a + 6532 = -15*a. Suppose -2*p + 4*p = 902. Suppose i - 2*q - 19 = -102, 5*i = q - p. Is i at most a?
False
Let h(r) = 2*r + 38. Let k be h(-18). Suppose -x = k*d + 45, 3*d + 0*d + 92 = -2*x. Let o = x + 48. Does -6/13 = o?
False
Let i(z) = 82*z + 85. Let s be i(-1). Which is bigger: 47/13 or s?
47/13
Suppose -5*d = -20, -t - 5*d + 24 = -0*t. Suppose -3*r = k - 1 - t, 0 = -2*r - 3*k + 8. Does r = 8/31?
False
Suppose -6*l + 345 + 2775 = 0. Let c be l/(-18) + -57 + 51. Is -34 less than c?
False
Let v be -5 + 25/(-5 + 10). Suppose v = -6*m - 12 - 12. Let r be (m/6)/(-3 + (-16)/(-3)). Is -6 smaller than r?
True
Let y(k) = k**3 + 12*k**2 - 5*k - 51. Let j be y(-12). Let h be (-598)/234 + 6/j + -1. Which is smaller: -2 or h?
h
Let h = -47 - -53. Suppose 3*m - h = -0. Suppose -m*n + 76 = 80. Is n > -2?
False
Let g be (5/((-40)/(-12)))/(72/53376). Does 12222/11 = g?
False
Let u = -186 - -192. Let x be u/10*(2/(-3))/1. Which is smaller: 1 or x?
x
Let w be 2950/(-30)*(-9 - 3). Is w less than or equal to 1184?
True
Let o(d) = 364*d**2 - 25*d - 52. Let g be o(-2). Is 1454 less than or equal to g?
True
Let a = -73 - -72. Let v be 2/169*15/(-10)*1. Which is greater: v or a?
v
Let j = 9049 + -8926. Is 46 greater than j?
False
Let m(a) = 65 + 49 + 159*a - 173*a. Let i be m(5). Is 1 smaller than i?
True
Let o = 3817265/39 + -97891. Are o and -12 unequal?
True
Let a be 4/14 - 68/14. Suppose -40 = 3*p + 23. Let b be (p + 18)/((-1)/8*-6). Which is smaller: a or b?
a
Suppose 0*i = -5*f + 4*i + 178, 0 = -5*f - 3*i + 164. Suppose f*o - 43*o = -54. Is o > 11?
False
Let b = -29163 + 29164. Is 18/517 less than or equal to b?
True
Suppose 5*h = 3*o - 55 - 372, 0 = -3*h - 6. Suppose 11*t + 260 - o = 0. Which is greater: -38 or t?
t
Let l be 346/28 + (-640)/(-256). Does l = -2/11?
False
Let q = 52 + -53.6. Let c = -1.35 - q. Suppose 0 = -4*v + 16, -j - 9 = -2*j - 2*v. Is j equal to c?
False
Let j be 5/10*(6 + (-8862)/1505). Do j and 1 have different values?
True
Suppose -3*q + w + 7 = 0, 2*q - 4*w = -w. Suppose y - 14 + 16 = -k, 2*y + 5 = -q*k. Which is bigger: 6/17 or k?
6/17
Let q = 0 + -0.1. Let o = 0.9 - q. Suppose -2*r + 3*z - 39 = -55, 5*z + 29 = r. Which is greater: o or r?
o
Suppose 66*m = 27881 + 29341. Is 863 greater than or equal to m?
False
Let q = 7742 + -7806. Do -1220/19 and q have the same value?
False
Let s = 61/201 + 2/67. Suppose -69*x + 86*x - 204 = 0. Let y be 18/22*(88/x - 7). Which is smaller: y or s?
y
Suppose 0 = -46*z + 21*z - 3475. Is 7/3 equal to z?
False
Let l = -18 + 27. Let k = -193 - -404. Let r = 211 - k. Which is smaller: l or r?
r
Let d = 17 + -21. Let l be d/(-150)*5/3. Let j(z) = z**3 + 14*z**2 - 31*z + 17. Let u be j(-16). Is l equal to u?
False
Let k be (-10*4/2)/(-16 - 10). Is -21 at least as big as k?
False
Let v be -3 - 34786*(-2)/23192. Let c = v + -1519071/2899 | {
"pile_set_name": "DM Mathematics"
} |
-4*p - 3*b + 8 = 0 for p.
-1
Solve -a - b - 5 = -6*a, a - 67 = -13*b for a.
2
Solve 5*z - 4*h = -31, -5*h = -z - 11461 + 11396 for z.
5
Solve -5*l + 50 - 77 = 3*u, -3*l + 31 = -10*u for l.
-3
Solve -6*k + 5*l = 31, 21 = 111*k - 112*k + 4*l for k.
-1
Solve -650*a - 25 = -5*m - 648*a, 2*a = -3*m + 31 for m.
7
Solve 29 = -3*y + 5*d, -11*y + 33 = 2*d - 3 for y.
2
Solve 3*a + 20 = -4*k, 184*a - 5 = k + 183*a for k.
-5
Solve -160*l + 161*l - 5*r - 9 = 0, r = 2*l for l.
-1
Solve 0 = 2*s - 2*k + 8, -3*s + 84*k + 36 = 89*k for s.
2
Solve q - 3*i = -4, 5*q - 73*i + 77*i = -1 for q.
-1
Solve 0 = 3*q - 38*b + 37*b - 16, -7*b = 4*q - 13 for q.
5
Solve c = 3*d - 2, 0 = 13*c + 5*c - 6*d - 60 for c.
4
Solve 4*b = 0, -4782*b = 3*h - 4777*b + 15 for h.
-5
Solve 5*v + 43 = 8*g, 2468*g - 2464*g = -2*v + 26 for v.
1
Solve -3*p + 17 = 2*h + 2, -2*h + 220 = -8*p + 238 for h.
3
Solve 20 = -4*b + 2*k, 0 = 2*k + 317 + 316 - 633 for b.
-5
Solve 4*u - 692*x + 695*x - 54 = 0, -2*u = 3*x - 48 for u.
3
Solve 5*p + 3 = 3*x, -4*p - 1782*x = -1779*x - 3 for p.
0
Solve 4*g = -20, -5*g + 2488 - 2504 = -w for w.
-9
Solve -5*b - c = -21, -301*b + 4*c - 39 = -306*b for b.
3
Solve 686*h - 681*h = 3*j + 23, 0 = h - 2*j + 5*j - 1 for h.
4
Solve -a = -5*i + 24, -3*a = 298*i - 302*i + 17 for i.
5
Solve -5*w + 2*f - 3 = 0, 2*w + w - 22*f = -19*f for w.
-1
Solve 43*w + 0*c = 48*w - c - 14, 2*w - 5*c + 22 = 0 for w.
4
Solve -x = -o - 0*o + 4, -5 = 5*o + 15 for x.
-8
Solve 2*w - 2*r = 18, -9*r + 6*r - 51 = -5*w for w.
12
Solve 3*v - 9 = 273*r - 276*r, -2*r = 4*v - 10 for v.
2
Solve -3*f = 4*k - 834 + 819, 2*k = -2*f + 8 for f.
1
Solve 2*t + 2 = l, -3*t - 5*l - 363 = -334 for t.
-3
Solve 0 = 2*t + 3*g - 9, -t + 400 - 401 = -4*g for t.
3
Solve 2731*h - 4*q = 2735*h, 4*q = 5*h - 27 for h.
3
Solve 43*y - 36 = 47*y - 4*r, 2*y - 6 = -6*r for y.
-6
Solve -5*z - 228*j + 85 = -232*j, 0 = -4*z + 4*j + 72 for z.
13
Solve -k - 5841*a + 5843*a = -9, 0 = -2*k + a + 9 for k.
3
Solve 99*d - 2 = 98*d - 2*l, 0 = 8*l + 7 - 31 for d.
-4
Solve g = 7*f - 23, 0 = 2*g - 2383*f + 2385*f - 2 for g.
-2
Solve 27 = -285*o + 286*o - 8*d, 0 = 2*o + 5*d + 30 for o.
-5
Solve 2*q + 1 = 3*w, w - 3 = 2*w for q.
-5
Solve 15 = 2*g + 7, 30 = 5*h - 5*g for h.
10
Solve -u = 6, 10*x + 2*u = 6*x + 8*x for x.
-3
Solve 0 = -4*g + 2*q + 1116 - 1090, 0 = 4*g + 3*q - 1 for g.
4
Solve 12 = 4*l - 2*j, 4*l - 1980 = -4*j - 1968 for l.
3
Solve -44*k - 65 = -51*k + 5*m, -2*k + 5*m = -15 for k.
10
Solve 4*a = -3*x + 48, 168*x + 32 = 170*x + 3*a for x.
16
Solve -5*j + 4*v + 41 = 0, 644*j - 649*j - v + 21 = 0 for j.
5
Solve -4*s + 17 = -3*x, 4*s = -12*x - 71 - 77 for s.
-4
Solve i - 5 - 3 = -3*k, -4*k + 4*i = -5*i + 13*i for k.
4
Solve 43 = -5*c - 2*a, 18*a = 3*c + 17*a + 17 for c.
-7
Solve -3*b + 1086*j + 51 = 1081*j, 2*b = -j - 5 for b.
2
Solve 4*t - 2*f = 18, -24*t - 3*f - 24 = -29*t for t.
3
Solve 9798*v + 5*w = 9793*v - 15, -v + 1 = -w for v.
-1
Solve 0 = z + 4, 5*s - 53 = -6*z - 97 for s.
-4
Solve 0 = -3*c, -31*c + 24 = 4*f - 27*c for f.
6
Solve 86 - 58 = 3*c + 4*j, -c + 5*j - 16 = 0 for c.
4
Solve -568*h + 3 = -571*h - 2*j, 1 = -h - 5*j for h.
-1
Solve 30 = 3*r - b + 8, r - 4 = b for r.
9
Solve 2*c + 2*c + 70 = -5*b, -b = -3*c - 5 for c.
-5
Solve 2*s - 7 = -9*r + 10*r, s = 3*r + 11 for s.
2
Solve -2*z = 3*u - 11, -10*z + 5*u = -z - 68 for z.
7
Solve 3*p + 8 = -4*n, -3*p + 67*n + 8 = 63*n for p.
0
Solve -8 = -r + b, 516*r - 511*r - 3*b - 30 = 0 for r.
3
Solve -3*o = d - 8, -119*o + 115*o + 15 = -3*d for o.
3
Solve 0 = 9*j - 23*c + 29*c + 24, 0 = 5*j - 3*c + 45 for j.
-6
Solve 2*p = 5*r - 6, -r - 155*p + 6 = -157*p for r.
0
Solve 129 = -4*m - 11*a, -407 = 2*m + 4*a - 359 for m.
-2
Solve -5*p - 21 = -18*k, 2*p - 116*k = -120*k + 14 for p.
3
Solve 3*r = -5*y + 44, 14*y - 25*r - 40 = -23*r for y.
4
Solve -4*n + 4*z = -12, 0 = 1526*z - 1522*z for n.
3
Solve -2*p + 1 = y, -40414*p + 22 = -40410*p - 2*y for p.
3
Solve 14*c - 37 = -11658*g + 11655*g, 5*c + 5 = 5*g for g.
3
Solve -3*o - 341 + 335 = 0, 0*m + 2*m - 10 = 3*o for m.
2
Solve 5*v + 229*f = 232*f + 48, -5*v + 84 = 6*f for v.
12
Solve -9*w = -5*w - 3*n + 13, -16 = w - 5*n for w.
-1
Solve -g - 2*a = -0*a + 5, -11 = -734*g + 735*g + 5*a for g.
-1
Solve -2*i = 4*k - 146 + 158, 5*i + 18 = -7*k for k.
-4
Solve -18*a = -2*y - 17*a, -5*y + 5*a = 0 for y.
0
Solve 4*t - 87 = -75*w, 0 = -4*w - 2*t + 23 - 13 for w.
1
Solve 31*t - 28*t - u = 4, 4*t - 16 = 4*u for t.
0
Solve 0 = 4*s + 86*x - 81*x + 9, 3*x = 5*s - 35 for s.
4
Solve -130*j + 128*j + 20 = -3*d, 10*j = -3*d + 100 for d.
0
Solve -d = 5*l - 12, -21 = -3*l + 16*d - 12*d for l.
3
Solve 232*t - 228*t + 4*b - 16 = 0, 2*t - 43 = -9*b for t.
-1
Solve -1 = -5*j + q, 7*j - 3*j + 8 = -8*q for j.
0
Solve 1956*s = 1951*s - 5*r + 15, -5*r = s + 13 for s.
7
Solve -1 = 6*h + 5*r, -5*h - 87*r = -89*r + 7 for h.
-1
Solve -2 = 2*m, -3*m + 2 = 69*u - 64*u for u.
1
Solve -5*a + 4*c + 48 = 0, -8 = 2*a + 3*c + 5 for a.
4
Solve -5*c = 3*u + 10, -1094*u + 9 = 4*c - 1095*u for c.
1
Solve -54*s - 18 = 2*y - 56*s, -3*s = 3*y - 3 for y.
-4
Solve n = 3*b - 9, -117*n + 115*n = 3*b - 18 for b.
4
Solve 4*g = 2*g - 10, -4*x + 4*g = -56 for x.
9
Solve 5*m - 54 = 5*s - 59, 3*s + 13 = -m for m.
-4
Solve 7*w - 3330*q + 3325*q - 45 = 0, -3*w + 7 = 4*q for w.
5
Solve -5*d = -5*t - 40, 2*d + 53005 = -2*t + 53029 for d.
10
Solve 4*x = 12, 162*z = 159*z + x + 3 for z.
2
Solve -61*r + 2*w = -65*r + 20, 6*w = 2*r + 8*w - 8 for r.
6
Solve 619 = -5*m + 4*f + 639, -3*f = -3*m + 18 for m.
-4
Solve 3*a = -2*j, -113*a + 108*a - 4*j + 6*j = 0 for a.
0
Solve -82*k - 571 = v, 2*v - 5*k = 25 + 16 for v.
3
Solve -3*m + 7 + 59 = 0, -53 = -3*g - 2*m - 9 for g.
0
Solve -h = 6*t + 1002 - 985, -5*t - 15 = 0 for h.
1
Solve -50*j + 52*j = -s - 20, -s - 17 = 5*j for j.
1
Solve 0 = g - 4*u + 37, 3*g - 68*u = -69*u - 59 for g.
-21
Solve w + 4*m + 1 = 0, 2 = -w - 20613*m + 20608*m for w.
3
Solve 3*p = -y + 18, 40*p - 44*p + 10*y - 10 = 0 for p.
5
Solve 107*j - 103*j - 3 = -5*t, -2*t - 10 = -4*j for j.
2
Solve -13 = 5*i - 4*x, -2*x = -4*i - 126 + 112 for i.
-5
Solve 5*d - 84 = -3*a, -33 = -2*d + 2*a - 9 for d.
15
Solve -s + 74*k - 76*k = -1, -4*s - 3*k = -4 for s.
1
Solve -3 = 5*w + n + 2, 3*w + 4*n - 14 = 0 for w.
-2
Solve 0 = j + 5*k - 261 + 258, -10 = 4*j - 2*k for j.
-2
Solve 0 = -v - 21*g + 26*g + 27, 3*g - 23 = -5*v for v.
7
Solve -138*r + v - 8 = -139*r, 4*v = 8 for r.
6
Solve 3*o + 17 + 0 = -2*b, 0 = 4*o + 4*b + 36 for o.
1
Solve 29*a - 58 = -2*i + 19*a, 0 = -4*a + 24 for i.
-1
Solve u - 20509*o + 20507*o + 6 = 0, 5*o + 199 = -51*u for u.
-4
Solve t = -3*g - 7, -3016*g + 3015*g - t = 1 for g.
-3
Solve -126*u + 4 = -125*u + 2*v, -5*u = 5*v - 10 for u.
0
Solve b + 235*x + 3 = 233*x, 3*b = x - 16 for b.
-5
Solve m - 4 = -4*q + 15, 2*q + 54*m - 27 = 51*m for q.
3
Solve -3*c - 7 = -2*a, -11*c + 10*c - 91*a + 361 = -19*a for c.
1
Solve 0 = -3*c + 5*x - 11, -c - 2637*x + 2639*x - 4 = 0 for c.
-2
Solve 5*t - 17 = -3*b + 5, 5*t - b - 6 = 0 for t.
2
Solve 5*b = 4*i + 17, 3*b + 1602 = 3*i + 1614 for i.
-3
Solve m + 7*u + 23 = 0, 3*m = -5*u + 7 - 12 for m.
5
Solve 0 = 4*i + d - 12, 2*d + 13 = -4*i + 21 for i.
4
Solve 0 = -2*c - 5*j - 79, 2*j + 26 = -228*c + 230*c for c.
-2
Solve -4*a = 34*v - 16*v + 440, -5*v = 3*a + 126 for a.
-2
Solve 18 = 4*i - 2*z, 2*i - 22*z - 6 = -24*z for i.
4
Solve 11*l = -9*g + 16*l + 76, 46 = 5*g - 3*l for g.
-1
Solve -39 = -5*l - 4*t - 11, 2*l - 7*t = -6 for l.
4
Solve -2*z - 12 = 518*v - 516*v, 9 = -2*z + v for z.
-5
Solve -3*x + 20*a + 8 = 15*a, -5*a = -4*x + 4 for x.
-4
Solve -8*v - 9*v = -5*t - 16*v + 11, 2 = -t - 4*v for t.
2
Solve -9439*u - 10 = -2*h - 9444*u, -2*h + 4*u - 8 = 0 for h.
0
Solve w + 3*n - 7*n = -9, 0 = -5*w + 22*n - 47 for w.
-5
Solve 2*b - 26*x - 7 = -31*x, 0 = -3*x + 3 for b.
1
Solve -741*c + 736*c = 25, -c - 8 = -3*l for l.
1
Solve 5*s = 5*d + 50, -163*d + 5 = s - 159*d for s.
9
Solve 2*y + 3340*h - 3335*h = -21, -47 = 4*y + 5*h for y.
-13
Solve -3*c + 111*z = 106*z + 55, -35 = 4*c + z for c.
-10
Solve 0 = -h + 14, -18*o + 23*o = 5*h - 85 for o.
-3
Solve -7*i = -2*y + 37, 108*i - 106*i + 6 = -4*y for y.
1
Solve -32*x - 16 = -54*x + 19*x - 5*w, 3*x + 3*w - 24 = 0 for x.
12
Solve -7*o - p = -2*p + 40, 3*o + 4*p + 4873 = 4878 for o.
-5
Solve -j = -3, 43*z - | {
"pile_set_name": "DM Mathematics"
} |
-6261*i**2 + i - 151
What is the u'th term of -3609, -10751, -22659, -39333, -60773, -86979, -117951?
-2383*u**2 + 7*u - 1233
What is the a'th term of 29131, 34196, 39261, 44326, 49391, 54456?
5065*a + 24066
What is the o'th term of 222, -4849, -13300, -25131, -40342, -58933, -80904?
-1690*o**2 - o + 1913
What is the p'th term of 108159888, 216319775, 324479662, 432639549, 540799436, 648959323?
108159887*p + 1
What is the v'th term of 241, 736, 1569, 2746, 4273, 6156?
v**3 + 163*v**2 - v + 78
What is the f'th term of -5157, 2408, 15005, 32628, 55271?
-f**3 + 2522*f**2 + 6*f - 7684
What is the w'th term of -20261401, -40522797, -60784193, -81045589, -101306985?
-20261396*w - 5
What is the o'th term of 19179, 32225, 45271, 58317, 71363, 84409?
13046*o + 6133
What is the z'th term of 77433, 309712, 696835, 1238796, 1935589, 2787208, 3793647?
-z**3 + 77428*z**2 + 2*z + 4
What is the s'th term of 2692, 5350, 7936, 10414, 12748, 14902, 16840?
-6*s**3 + 2700*s - 2
What is the h'th term of -23679, -49382, -75085?
-25703*h + 2024
What is the g'th term of -10910, -10839, -10754, -10649, -10518, -10355, -10154, -9909?
g**3 + g**2 + 61*g - 10973
What is the v'th term of -45672774, -45672784, -45672794, -45672804?
-10*v - 45672764
What is the g'th term of 11600, 46396, 104382, 185558, 289924?
11595*g**2 + 11*g - 6
What is the t'th term of -625, -2380, -5231, -9166, -14173, -20240, -27355?
2*t**3 - 560*t**2 - 89*t + 22
What is the x'th term of 21497, 42990, 64545, 86192, 107961?
5*x**3 + x**2 + 21455*x + 36
What is the b'th term of 37, 398, 1135, 2362, 4193, 6742?
19*b**3 + 74*b**2 + 6*b - 62
What is the q'th term of -6487, -6161, -5835, -5509, -5183, -4857?
326*q - 6813
What is the d'th term of 362290207, 362290204, 362290199, 362290192?
-d**2 + 362290208
What is the a'th term of 49183, 49323, 49463, 49603, 49743?
140*a + 49043
What is the n'th term of 1251768, 2503548, 3755330, 5007114, 6258900, 7510688?
n**2 + 1251777*n - 10
What is the r'th term of -5825831, -5825829, -5825825, -5825819?
r**2 - r - 5825831
What is the d'th term of -3040, -6484, -10646, -15526?
-359*d**2 - 2367*d - 314
What is the y'th term of -109255, -204932, -300609, -396286?
-95677*y - 13578
What is the x'th term of 161715, 646874, 1455473, 2587512, 4042991?
161720*x**2 - x - 4
What is the n'th term of -39848, -79421, -118996, -158573?
-n**2 - 39570*n - 277
What is the t'th term of -68548, -137102, -205652, -274198?
2*t**2 - 68560*t + 10
What is the o'th term of 3216210, 3216028, 3215846, 3215664?
-182*o + 3216392
What is the o'th term of -1936, -1866, -1616, -1096, -216, 1114, 2984?
15*o**3 - 35*o - 1916
What is the n'th term of 4873951, 4873965, 4873979?
14*n + 4873937
What is the u'th term of -9268, -10920, -13672, -17524, -22476?
-550*u**2 - 2*u - 8716
What is the v'th term of -5666, -14377, -26134, -40937, -58786, -79681, -103622?
-1523*v**2 - 4142*v - 1
What is the w'th term of 147658, 295320, 442956, 590554, 738102, 885588?
-2*w**3 - w**2 + 147679*w - 18
What is the g'th term of -18897, -20658, -22419, -24180, -25941?
-1761*g - 17136
What is the x'th term of -2018318, -4036649, -6054992, -8073347, -10091714, -12110093?
-6*x**2 - 2018313*x + 1
What is the o'th term of -78980081, -78980084, -78980087?
-3*o - 78980078
What is the r'th term of -5032, -10136, -15318, -20578, -25916?
-39*r**2 - 4987*r - 6
What is the x'th term of -12913, -13440, -13983, -14542, -15117?
-8*x**2 - 503*x - 12402
What is the r'th term of 587, 732, 987, 1370, 1899?
3*r**3 + 37*r**2 + 13*r + 534
What is the m'th term of 2659, 10889, 24729, 44173, 69215, 99849?
-m**3 + 2811*m**2 - 196*m + 45
What is the m'th term of 2465, 5675, 10395, 17381, 27389, 41175?
126*m**3 - m**2 + 2331*m + 9
What is the q'th term of -138875, -279587, -420299, -561011, -701723?
-140712*q + 1837
What is the t'th term of 3411, 4292, 7021, 12522, 21719, 35536, 54897, 80726?
154*t**3 - 197*t + 3454
What is the i'th term of 31250, 31044, 30838, 30632, 30426?
-206*i + 31456
What is the n'th term of -39596, -74389, -109182?
-34793*n - 4803
What is the o'th term of -197997, -396276, -594555?
-198279*o + 282
What is the q'th term of 76744, 75893, 75042, 74191, 73340, 72489?
-851*q + 77595
What is the k'th term of -2166497, -4332987, -6499481, -8665979, -10832481, -12998987?
-2*k**2 - 2166484*k - 11
What is the h'th term of -17630055, -17630057, -17630059, -17630061, -17630063?
-2*h - 17630053
What is the f'th term of -6826, -13663, -20488, -27301?
6*f**2 - 6855*f + 23
What is the y'th term of -312504, -312500, -312496?
4*y - 312508
What is the o'th term of 1994, 3050, 4270, 5660, 7226, 8974, 10910?
o**3 + 76*o**2 + 821*o + 1096
What is the x'th term of 33738, 33910, 34082, 34254, 34426, 34598?
172*x + 33566
What is the g'th term of -8794953, -8794963, -8794973, -8794983, -8794993?
-10*g - 8794943
What is the w'th term of -45923513, -91847029, -137770545, -183694061, -229617577?
-45923516*w + 3
What is the f'th term of -1332, -2656, -3978, -5298?
f**2 - 1327*f - 6
What is the v'th term of 86365, 86319, 86271, 86221, 86169, 86115, 86059?
-v**2 - 43*v + 86409
What is the y'th term of 8029, 32053, 72085, 128137, 200221, 288349, 392533?
2*y**3 + 7992*y**2 + 34*y + 1
What is the j'th term of -106, -2098, -5496, -10300, -16510, -24126, -33148?
-703*j**2 + 117*j + 480
What is the j'th term of -8230, -8290, -8350, -8410, -8470?
-60*j - 8170
What is the n'th term of 1921136, 3842264, 5763392, 7684520, 9605648?
1921128*n + 8
What is the z'th term of -13388, -27991, -42582, -57155, -71704?
z**3 - 14610*z + 1221
What is the d'th term of -1777, -1915, -2149, -2485, -2929?
-d**3 - 42*d**2 - 5*d - 1729
What is the s'th term of 14966, 59907, 134820, 239705, 374562, 539391, 734192?
14986*s**2 - 17*s - 3
What is the n'th term of -35, 394, 1885, 5038, 10453?
100*n**3 - 69*n**2 - 64*n - 2
What is the t'th term of -2005, -7647, -17053, -30223?
-1882*t**2 + 4*t - 127
What is the t'th term of -135, -598, -1275, -2166, -3271, -4590?
-107*t**2 - 142*t + 114
What is the g'th term of -7164159, -14328342, -21492525?
-7164183*g + 24
What is the v'th term of 112719, 100208, 87685, 75144, 62579, 49984, 37353, 24680?
-v**3 - 12504*v + 125224
What is the n'th term of -81997, -81924, -81851?
73*n - 82070
What is the i'th term of -38292, -149182, -333998, -592740, -925408, -1332002, -1812522?
-36963*i**2 - i - 1328
What is the w'th term of 3714, 14765, 33092, 58695?
3638*w**2 + 137*w - 61
What is the m'th term of -19652, -78412, -176348, -313460, -489748, -705212?
-19588*m**2 + 4*m - 68
What is the n'th term of -13433, -24983, -36533, -48083, -59633, -71183?
-11550*n - 1883
What is the w'th term of 2091119, 2091143, 2091185, 2091245, 2091323, 2091419, 2091533?
9*w**2 - 3*w + 2091113
What is the i'th term of -584627, -1169753, -1754889, -2340041, -2925215, -3510417, -4095653?
-i**3 + i**2 - 585122*i + 495
What is the t'th term of 6940206, 6940244, 6940280, 6940314, 6940346?
-t**2 + 41*t + 6940166
What is the z'th term of -97, -437, -1025, -1879, -3017, -4457, -6217, -8315?
-3*z**3 - 106*z**2 - z + 13
What is the i'th term of 450799, 901570, 1352305, 1802998, 2253643, 2704234?
-i**3 - 12*i**2 + 450814*i - 2
What is the k'th term of 50156245, 100312491, 150468737?
50156246*k - 1
What is the r'th term of 196, 497, 898, 1387, 1952, 2581?
-2*r**3 + 62*r**2 + 129*r + 7
What is the k'th term of 61867752, 61867754, 61867756, 61867758?
2*k + 61867750
What is the v'th term of 338274, 676458, 1014632, 1352796, 1690950, 2029094?
-5*v**2 + 338199*v + 80
What is the o'th term of 20946, 83884, 188776, 335616, 524398, 755116, 1027764, 1342336?
-o**3 + 20983*o**2 - 4*o - 32
What is the w'th term of 69, 97, 109, 105, 85?
-8*w**2 + 52*w + 25
What is the z'th term of -170512, -170514, -170516, -170518, -170520, -170522?
-2*z - 170510
What is the c'th term of -811375, -811820, -812555, -813574, -814871, -816440, -818275, -820370?
c**3 - 151*c**2 + c - 811226
What is the y'th term of 549305, 549582, 549859, 550136, 550413?
277*y + 549028
What is the m'th term of 70764988, 141529962, 212294936, 283059910, 353824884?
70764974*m + 14
What is the a'th term of -31765, -63665, -95623, -127669, -159833, -192145, -224635, -257333?
-5*a**3 + a**2 - 31868*a + 107
What is the a'th term of -9301, -37166, | {
"pile_set_name": "DM Mathematics"
} |
vbb. Give prob of sequence fbb.
1/12
Calculate prob of sequence ltii when four letters picked without replacement from litfiim.
1/140
Four letters picked without replacement from {f: 1, g: 7, x: 5, j: 1, z: 5}. Give prob of sequence xfzz.
25/23256
Three letters picked without replacement from qqygkyq. Give prob of sequence qkq.
1/35
Two letters picked without replacement from izy. Give prob of sequence yi.
1/6
Calculate prob of sequence efff when four letters picked without replacement from ehcfhfefahtfeh.
3/1001
What is prob of sequence kfk when three letters picked without replacement from kkkqqfkq?
1/28
What is prob of sequence st when two letters picked without replacement from {r: 4, s: 1, t: 1, l: 1, v: 2}?
1/72
Calculate prob of sequence qbbx when four letters picked without replacement from {b: 10, o: 1, x: 2, q: 1, u: 3}.
3/952
Two letters picked without replacement from {o: 1, d: 2, n: 1, f: 1, h: 2}. What is prob of sequence hd?
2/21
Four letters picked without replacement from {s: 11, d: 1}. Give prob of sequence sdss.
1/12
Two letters picked without replacement from bllhslgllllgggl. Give prob of sequence hg.
2/105
What is prob of sequence ibbh when four letters picked without replacement from hhiihhbbbhbbhbh?
1/78
Three letters picked without replacement from nnwannwnnww. Give prob of sequence aww.
2/165
Calculate prob of sequence zfer when four letters picked without replacement from rezezbeeefzrerfr.
3/910
Three letters picked without replacement from ffsfzefzsssffezfze. Give prob of sequence zff.
7/204
Four letters picked without replacement from {b: 1, n: 18}. Give prob of sequence bnnn.
1/19
What is prob of sequence yd when two letters picked without replacement from ddyddyddtdt?
7/55
Calculate prob of sequence hum when three letters picked without replacement from uqphm.
1/60
What is prob of sequence oddo when four letters picked without replacement from qodotoodoqooooveveee?
2/1615
Three letters picked without replacement from {n: 1, a: 1, z: 2, d: 1}. What is prob of sequence adz?
1/30
Calculate prob of sequence ypty when four letters picked without replacement from {y: 5, g: 5, p: 4, t: 6}.
4/969
What is prob of sequence dll when three letters picked without replacement from bmbdsldlbsblssbdsd?
1/204
What is prob of sequence iqa when three letters picked without replacement from iwqqviiwibwia?
5/858
What is prob of sequence pa when two letters picked without replacement from {a: 2, j: 2, t: 7, p: 1, i: 7}?
1/171
Calculate prob of sequence uuc when three letters picked without replacement from {u: 2, c: 2}.
1/6
Three letters picked without replacement from emiiameiaaiiaiiam. What is prob of sequence aia?
7/204
What is prob of sequence sivv when four letters picked without replacement from wwdwwwwiiwsibvvwd?
1/9520
What is prob of sequence wus when three letters picked without replacement from {s: 3, w: 1, g: 1, p: 1, u: 5, m: 1}?
1/88
What is prob of sequence qpt when three letters picked without replacement from tthttpptqhtt?
7/660
Two letters picked without replacement from {w: 2, j: 1, o: 7, q: 8}. What is prob of sequence qw?
8/153
Four letters picked without replacement from {f: 8, j: 3, d: 7, q: 2}. What is prob of sequence qjdf?
14/4845
Three letters picked without replacement from nenpeeeen. What is prob of sequence nne?
5/84
Calculate prob of sequence dsmd when four letters picked without replacement from {s: 1, m: 1, d: 3}.
1/20
What is prob of sequence xx when two letters picked without replacement from {y: 9, x: 9}?
4/17
What is prob of sequence oyyo when four letters picked without replacement from {o: 3, y: 9}?
2/55
What is prob of sequence ylss when four letters picked without replacement from {y: 3, l: 2, d: 10, s: 3}?
1/2040
Three letters picked without replacement from {v: 3, w: 13, a: 3}. What is prob of sequence vav?
1/323
What is prob of sequence ty when two letters picked without replacement from {v: 1, t: 2, l: 3, w: 4, y: 4}?
4/91
Three letters picked without replacement from {j: 12, h: 3}. What is prob of sequence jhj?
66/455
Three letters picked without replacement from izzfqrf. What is prob of sequence ffr?
1/105
Two letters picked without replacement from sppsppppspppps. Give prob of sequence ss.
6/91
Three letters picked without replacement from vvovokkrvvov. Give prob of sequence kkv.
1/110
Four letters picked without replacement from hbehuhbhhhhuhbhhuu. Give prob of sequence ubeh.
1/612
Three letters picked without replacement from aqxrrqagrquq. What is prob of sequence arx?
1/220
Calculate prob of sequence qcix when four letters picked without replacement from {x: 3, q: 6, i: 2, c: 4}.
2/455
Four letters picked without replacement from ppmjvjvgxpj. Give prob of sequence vvgj.
1/1320
Two letters picked without replacement from xhxoxxxxx. Give prob of sequence oh.
1/72
What is prob of sequence bab when three letters picked without replacement from aaahbaabbaaaaaaabaab?
7/171
Three letters picked without replacement from {c: 11, b: 5}. Give prob of sequence cbb.
11/168
Two letters picked without replacement from iaiaiiarracipaeeer. What is prob of sequence ac?
5/306
Calculate prob of sequence ytzz when four letters picked without replacement from {t: 4, y: 1, l: 2, z: 2}.
1/378
Calculate prob of sequence ybyb when four letters picked without replacement from {y: 11, b: 7, d: 1}.
385/7752
What is prob of sequence cpc when three letters picked without replacement from cccppcpc?
5/28
Two letters picked without replacement from qooorqooqr. Give prob of sequence or.
1/9
What is prob of sequence hhhc when four letters picked without replacement from {c: 5, h: 14}?
455/3876
Three letters picked without replacement from yttjtyttttjttttttytt. What is prob of sequence yyt?
1/76
Calculate prob of sequence buuq when four letters picked without replacement from qffiffuqiqiiub.
1/4004
Two letters picked without replacement from nuogkron. What is prob of sequence rk?
1/56
Three letters picked without replacement from {k: 15, w: 3}. What is prob of sequence kkw?
35/272
Three letters picked without replacement from {m: 1, t: 3, v: 5}. What is prob of sequence mvt?
5/168
Three letters picked without replacement from pwsspss. What is prob of sequence psw?
4/105
Calculate prob of sequence oq when two letters picked without replacement from {y: 2, o: 1, s: 1, c: 4, q: 1}.
1/72
Two letters picked without replacement from aahaaahhaahiq. What is prob of sequence ah?
7/39
Four letters picked without replacement from eeyykkkfehyiykiff. What is prob of sequence eefy?
3/2380
Two letters picked without replacement from huuuduuduwhfuhhhhud. What is prob of sequence wh?
1/57
Two letters picked without replacement from xbqeqih. What is prob of sequence xh?
1/42
Four letters picked without replacement from yyyyykyyyyyyyyyykkyy. What is prob of sequence kkky?
1/1140
Four letters picked without replacement from {d: 2, l: 1, u: 4}. Give prob of sequence udlu.
1/35
Three letters picked without replacement from llllll. What is prob of sequence lll?
1
Two letters picked without replacement from {e: 1, w: 1, c: 3, l: 3, a: 1, p: 2}. What is prob of sequence pc?
3/55
Calculate prob of sequence uro when three letters picked without replacement from oortwouottrorwo.
3/455
Calculate prob of sequence iwt when three letters picked without replacement from {y: 2, q: 2, w: 3, t: 4, i: 1}.
1/110
Two letters picked without replacement from ihihagdasaii. Give prob of sequence id.
1/33
Three letters picked without replacement from ezezrzrzenzssrznzzz. Give prob of sequence ezn.
3/323
Two letters picked without replacement from {a: 3, c: 2}. Give prob of sequence cc.
1/10
Two letters picked without replacement from {e: 1, q: 1, n: 1}. What is prob of sequence nn?
0
Four letters picked without replacement from {z: 2, u: 3, i: 2, t: 1, o: 4, y: 2}. Give prob of sequence ztzu.
1/4004
Three letters picked without replacement from fddffdkdfffff. What is prob of sequence kdf?
8/429
What is prob of sequence ivv when three letters picked without replacement from vkikvkv?
1/35
Calculate prob of sequence xp when two letters picked without replacement from dpngnpnndx.
1/45
What is prob of sequence naa when three letters picked without replacement from | {
"pile_set_name": "DM Mathematics"
} |
ositive.
w**(-1703/1155)
Simplify (p**18*p)**(-2/35)*p**(-2/41)/p**(-19) assuming p is positive.
p**(25637/1435)
Simplify (t**14*t*t**14)/((t/t**(1/4))/(t*t/(t**1*t*t)*t)) assuming t is positive.
t**(113/4)
Simplify (m*m/m**(-1/8)*m/m**(2/37))/(m**(2/9))**(-1/26) assuming m is positive.
m**(106649/34632)
Simplify ((r*r**9)/(r*r/r**0))/(r*r*(r/((r/(r*r/r**(-19)*r))/r))/r*r*r*r**(2/33)) assuming r is positive.
r**(-596/33)
Simplify (g**(2/65)*g**(-11/6)/g*g)/(g**2)**47 assuming g is positive.
g**(-37363/390)
Simplify (r**(-11/5)/r*r*(r*r*r/r**(-15/8)*r)/r*r)/((r*r**(-25))/(((r*r**(1/2))/r)/r)) assuming r is positive.
r**(1087/40)
Simplify (m/m**(-23/5)*(m*m/m**(-2/93))/m)**3 assuming m is positive.
m**(3079/155)
Simplify (v/(v/(v**13*v))*v**26)/(v**14*v*v**(-1/5)) assuming v is positive.
v**(126/5)
Simplify c*c**9*(c**(-1/5)/c)/c*c**(-1)/c**0 assuming c is positive.
c**(34/5)
Simplify ((j**(1/4))**(-20)/((j**(-7)/j)/j**11))**(7/5) assuming j is positive.
j**(98/5)
Simplify (j/(j*j/(j**(-5/6)/j)))**32/(j**(-1/11)/j)**(-2/65) assuming j is positive.
j**(-194552/2145)
Simplify ((z*z**(-3/4)*z/(z*z**(-1/3)))**39)**(1/4) assuming z is positive.
z**(91/16)
Simplify ((i**(-1/2))**(-16)*i*(i*i*i**6/i)/i*i*i/(i/((i*(i/i**1)/i)/i)))**(4/3) assuming i is positive.
i**20
Simplify (f*f*f*f*f**(-37)*f*f*f*f*f)/f*f*f*f**(-19)*(f/f**(-2/37))**8 assuming f is positive.
f**(-1390/37)
Simplify (w/w**(-1)*w)**(-2/45)/(w**(-5/2))**(1/4) assuming w is positive.
w**(59/120)
Simplify ((z/(z*z**13)*z*z**(-1/2))**(-17))**(-10/9) assuming z is positive.
z**(-2125/9)
Simplify ((v*v**(-2))/v*v)**(-38)*(v/(v*v**(-2/21)))/(v**5*v) assuming v is positive.
v**(674/21)
Simplify ((l**(1/8)*l)**(-16))**(-21/8) assuming l is positive.
l**(189/4)
Simplify ((w/(w*w**3))**(-33))**21 assuming w is positive.
w**2079
Simplify (c/(c**1*c)*c*c**(-1/10)*(c*(c*c*(c/(c/c**(-2/7)))/c)/c)/c**(-5))**32 assuming c is positive.
c**(6288/35)
Simplify ((b*b/b**(7/3))/(b*b**(-2/5)))/((b*b**(11/2)*b)/b*(b*b**(2/11)*b)/b) assuming b is positive.
b**(-2843/330)
Simplify (i**(-1)*i*i**(-3))/(i**12/(i**(-4/3)*i)) assuming i is positive.
i**(-46/3)
Simplify ((t**9*t**3)/((t/(t**3*t))/(t/(t*t*t**(-4)*t*t)*t)))**(1/3) assuming t is positive.
t**(17/3)
Simplify ((d**(4/9)*d*d**(-3))/((d**1*d)/d)**(-17))**(-13) assuming d is positive.
d**(-1807/9)
Simplify (a*a/(a**(3/5)*a)*a**(-1/32))/(a/a**10)**(1/4) assuming a is positive.
a**(419/160)
Simplify m**22/m**(-11/2)*m**(2/17)*m*m/(m/((m/m**(4/7))/m))*m assuming m is positive.
m**(6913/238)
Simplify (j/j**15*j**(1/11))/(j**20)**5 assuming j is positive.
j**(-1253/11)
Simplify (b*(b**39*b)/b*b**(-42)/b*b)**(-1/4) assuming b is positive.
sqrt(b)
Simplify ((l/((l*(l**(1/17)/l)/l)/l))/l*l*(l*l**(2/5)/l)/l)/(l/l**(-2/3))**(2/15) assuming l is positive.
l**(1621/765)
Simplify (i**(3/7)*i*i*i*i/(i*(i/(i*i/i**(-10)))/i)*i)/(i/i**2*i)**29 assuming i is positive.
i**(115/7)
Simplify ((c/((c**(-2/7)/c)/c))**(-9/4))**(3/13) assuming c is positive.
c**(-621/364)
Simplify ((w/w**(4/5))/(w*w**(-2/41)*w))/((w**(2/27)*w)/w)**(-3/37) assuming w is positive.
w**(-119137/68265)
Simplify (u/(u*u*u/u**(-2)))/u*u*u**(-14)*((u/(u*u**(-2/25)/u))/u)/(u*u**(-4/7)*u) assuming u is positive.
u**(-3386/175)
Simplify (m*m/(m**(-1/14)/m*m))/m*m/m**(12/7)*(m**(-2/13)*m)**(5/8) assuming m is positive.
m**(645/728)
Simplify (a**23/a*a)/(a/a**(-11))*(a**(9/7)/a)**(-1/20) assuming a is positive.
a**(769/70)
Simplify (b**(-2/27)/b**(8/3))/(b**(-14)*b*b)**3 assuming b is positive.
b**(898/27)
Simplify (b**(-5/8)/((b**5*b)/b))/(b/b**(-5/2))**28 assuming b is positive.
b**(-829/8)
Simplify ((x**8/x)/x**(-8))/(x**(-4)*x*x**(-11)) assuming x is positive.
x**29
Simplify (m*m**(-2))**(3/13)/(m/((m*m**(3/2))/m)*m*m*((m*m/(m/m**7)*m)/m)/m) assuming m is positive.
m**(-227/26)
Simplify (j*j*j**4/j*j)**(1/26)/(j/j**(-3))**(-19) assuming j is positive.
j**(991/13)
Simplify ((f*(f/(f/(f/(((f*f/f**(-3/8)*f*f)/f)/f))))/f*f)/(f/((f*f**14*f)/f)))/(f**(-1/3)/f*(f/f**14)/f) assuming f is positive.
f**(695/24)
Simplify l**(-7)/(l**(5/6)*l)*(l**1)**31 assuming l is positive.
l**(133/6)
Simplify (t/((t/t**(-15)*t)/t)*t*t*t**(2/13))/(((t**27*t)/t)/(t/((t/(t*(t*t*t*t**(2/13)*t*t)/t))/t))) assuming t is positive.
t**(-438/13)
Simplify ((p*p**(-1/3))/p*p**(2/5)/p)/((p*p**(5/3))/p**(-11)) assuming p is positive.
p**(-73/5)
Simplify (r**(-6)*r**(-27)*r*r)**(-30) assuming r is positive.
r**930
Simplify (i/(i*i**0*i))**(-37)/(i**1)**(-34) assuming i is positive.
i**71
Simplify c*c**4*c**(-14)/c*(c**20*c*c*c)/c**6 assuming c is positive.
c**7
Simplify (v/((v*v**(-1/7))/v*v))/((v*v**(-1/24))/v)*(v/((v*v**(3/5))/v))**(2/77) assuming v is positive.
v**(1801/9240)
Simplify (a**(-5)*a*a*a*a*a)**(-6)*(a/(a/((a/(a*a**(4/3)))/a)))**(-25) assuming a is positive.
a**(175/3)
Simplify (f**(1/12))**(-42)*(f/((f*f*f/f**(-9))/f))/f**(-10) assuming f is positive.
f**(-7/2)
Simplify o**(-1/5)*o*o**(-6/7)/o*(o*(o*o**(-4)/o*o)/o*o)/o*o**(-14) assuming o is positive.
o**(-632/35)
Simplify ((p**(-1/4))**(-43)*(p*(p*p**(-6)*p*p*p)/p)/(p/(p**(-1)/p)))**3 assuming p is positive.
p**(69/4)
Simplify (s**(-7)*s*s**2*(s**(-1/4))**28)**(-2/11) assuming s is positive.
s**2
Simplify ((z/z**(-1/6)*z**(-2/9))**(-7))**(37/5) assuming z is positive.
z**(-4403/90)
Simplify ((p**(-18))**(-34))**3 assuming p is positive.
p**1836
Simplify (p**(3/2)/p)**(-34)*(p**(-2/11)/p)**(-31) assuming p is positive.
p**(216/11)
Simplify v**(-1/3)*v*v**15*v**(-10)*v/(v/v**(3/11)*v) assuming v is positive.
v**(163/33)
Simplify (y*y**(-12)/y*y**(-7/2))/(y**(7/5)*y*(y/(y/(y*y*y/y**(-8)*y)))/y) assuming y is positive.
y**(-289/10)
Simplify ((b*b**(-9))/b)/b*b/(b/b**(-2/7))*(b**(-4/5)*b)/(b*b**2) assuming b is positive.
b**(-458/35)
Simplify (k**4)**(2/79)/(k*k**(4/9))**(-48) assuming k is positive.
k**(16456/237)
Simplify (v**12)**(-2/25)/(v**16*v**(-6)) assuming v is positive.
v**(-274/25)
Simplify q**(-1/6)*q*q**(-5)*q**11/(q**(-2/63)*q) assuming q is positive.
q**(739/126)
Simplify (w*((w/(w*w**(-13)*w))/w)/w)/(((w*w/(((w/(w**(-1/2)/w))/w)/w))/w)/w)*(w**(1/2))**(22/3) assuming w is positive.
w**(91/6)
Simplify ((a/(a*a**(7/5)*a*a)*a*a*a*a)/a*a)**(-1/48)/(a**18/a**(-3)) assuming a is positive.
a**(-1681/80)
Simplify ((z**(1/4))**(-1/30)*(z/(z*z**(3/4)))/(z/(z*(z/(z**(-2/9)*z))/z*z)))**(-7/5) assuming z is positive.
z**(1351/1800)
Simplify (((w*w**(-9))/(w/(w*w*(w/(w/w**4))/w*w)))**(2/41))**(-15/2) assuming w is positive.
w**(45/41)
Simplify (a/(a**(-7)*a))**(-16)/(a**3)**37 assuming a is positive.
a**(-223)
Simplify ((a*a**(-1)/a*a*a)/a**(-22))/(a**(-22/5)*a**(2/27)) assuming a is positive.
a**(3689/135)
Simplify (p**18*p/(p**14/p))/((p**18*p)/p**(-2/3)) assuming p is positive.
p**(-41/3)
Simplify (u/u**(-2/5))**17*(u**3)**24 assuming u is positive.
u**(479/5)
Simplify (((y*y**(-11))/y*y**(-10))/(y/(y*y**(1/4)*y))**(-8/5))**(-28) assuming y is positive.
y**644
Simplify (l**(-18)/l**(-5/2))/((l**(3/10)/l)/(l*l/l**3*l)) assuming l is positive.
l**(-74/5)
Simplify ((s*s**(4/5)/s)/s)/(s*s/s**(-7/3))*(s**(-1/2))**27 assuming s is positive.
s**(-541/30)
Simplify ((s*s/s**0)**(2/11)*(s*s**(1/3)/s)**(-6/13))**(22/7) assuming s is positive.
s**(60/91)
Simplify ((y/(y**23/y))/(y/(y/(y**25/y))))/(y**(-10)*y**1*y*y) assuming y is positive.
y**(-38)
Simplify ((p**(-12/11)*p/(p**(-2/29)*p))**35)**(3/2) assuming p is positive.
p**(-17115/319)
Simplify (((v*v*v/(v*v*v**(-17)))/(v**20*v))**(11/5))**(2/21) assuming v is positive.
v**(-22/35)
Simplify (i*(i*i/i**(-3/2))/i)**38*(i*i**(-4)*i)/(i*i**(-12)) assuming i is positive.
i**142
Simplify ((d**5/d**3)**(-3/7))**27 assuming d is positive.
d**(-162/7)
Simplify f**(-10)/(f/(f/(f/((f/f**(-20)*f)/f))))*f/f**(-3/11)*f**(1/13)/f assuming f is positive.
f**(1480/143)
Simplify (y**(-10/3))**(-11)*y**(2/23)*y/y**(-21/5) assuming y is positive.
y**(14474/345)
Simplify (((s*s/(s/s**(-5)))/((s*s**(-3/5))/s))**(-4/27))**27 assuming s is positive.
s**(68/5)
Simplify (r**(-1/11)*r/(r*r/(r*r**11)*r)*r*r)/(r/r**36*r**30/r*r) assuming r is positive.
r**(186/11)
Simplify ((z/z**(4/5))/(z**(-8)*z)*(z/((z/z**(-7))/z))/z*z*z*z*z*z**(-4))**(7/5) assuming z is positive.
z**(7/25)
Simplify ((g/(g*g*g*g/((g*g**(4/3))/g)*g)*(g/g**5)/g)**(-2/49))**(15/4) assuming g is posi | {
"pile_set_name": "DM Mathematics"
} |
20 for f.
-4
Solve -15*z + 20*z - 35 = 5*k, -4*z + 49 = 3*k for k.
3
Solve 16*d - 104*b + 73 = -99*b, 2*d + 31 = 5*b for d.
-3
Solve -5*l = 5*o - 10, -486*o + 527*o - 166 = l for l.
-2
Solve -2*u + 3*w + 15 = 0, -20 = -38*u + 36*u + 4*w for u.
0
Solve 24*a = u + 20*a + 9, -30 = -12*u + 2*a for u.
3
Solve -4*m + 40 = 3*o, 969*m + o - 20 = 966*m for m.
4
Solve 4*x + 5*r + 248 = 184, -85 = 7*x + 2*r for x.
-11
Solve -2 = -3*z - 8*f, 12 = -2*z - 5*f + 3*f for z.
-10
Solve -o + 8 = 5*h, -55*o + 47*o + 3*h + 21 = 0 for o.
3
Solve 3*b + 12 = -6*x, -5*b - 67*x + 71*x = -36 for b.
4
Solve -10*k - 16*k = -5*l - 25*k, 0 = 4*k + 20 for l.
-1
Solve u = -4*o + 37, -5*u - 149392*o + 65 = -149387*o for u.
5
Solve 0 = -p + 5*d + 29, 2*p - d + 920 = 933 for p.
4
Solve -3*o + 143 = 155, -2*o - 28 = -0*w + 5*w for w.
-4
Solve -5*j - 5*x + 10 = 0, -15*j + 13*j + 14 = -3*x for j.
4
Solve -5*t + 15 = 0, -j + 892*t - 897*t + 11 = -1 for j.
-3
Solve 0 = 2*q - 3*b - 11, -13 = -2*q - b - 22 for q.
-2
Solve d - 1 = -z, 40*z - 31*z + 5*d + 11 = 0 for z.
-4
Solve -34 + 22 = 3*d, 6 = 5*b - 4*d for b.
-2
Solve v - 3*v - 8 = 0, 3*u - 286 + 289 = 4*u - 2*v for u.
-5
Solve 2*b + 5*t - 54 = -34, 0 = 6*b - 3*t - 24 for b.
5
Solve -3*r - 9 = -s, -4*r + 24*s + 106 = 118 for r.
-3
Solve -2*j = 4*p - 10, -5*p + 630 = 3*j + 615 for p.
0
Solve 4*q = 2*f + 2, -3*q + 15 = 30*f - 45*f for f.
-1
Solve 2*c + 2*n + 4 = 0, 232*n = 227*n + 15 for c.
-5
Solve -3*n + 18 = -19*i + 22*i, 3*i = -2*n - 3*n + 26 for i.
2
Solve -v - 7184 = 2*d - 7196, 0 = 3*d - 12*v + 63 for d.
3
Solve 30 = 4*k + 3*w, 44*k - 82 = 48*k - 5*w for k.
-3
Solve 3*o - 5*z + 29 = 0, 37*z = 36*z + 4 for o.
-3
Solve -3*y - 25*m = -16*m + 6, y = -2*m - 3 for y.
-5
Solve -17 = 2*y + 3*z, -3*y - 22 - 1 = 4*z for y.
-1
Solve -4*p = 3*t + 29, -19665*p = -19662*p - 2*t + 9 for p.
-5
Solve 117*w - 115*w = 3*a + 29, 4*a - 108 = -4*w for a.
5
Solve -5 = 11*a - 12*a + 5*z, 5 = -3*a + 5*z for a.
-5
Solve 3*b = -3*p - 84, -2*p - 221*b = -224*b - 69 for p.
-3
Solve -2 = -4*t + 5*n + 5, 0 = 4*t + 37*n - 49 for t.
3
Solve -2*h = q - 11, 13 = 4*q - 2*h + 49 for q.
-5
Solve 28 = -l - 2*i + 27, 5*l + 6*i - 3 = 0 for l.
3
Solve 5*i - 4*m + 68 + 9 = 0, 94*m + 9 = 97*m for i.
-13
Solve -25*s + 30*s - 8 = 13*p - 12*p, -3*p - 9 = 0 for s.
1
Solve 0 = -3*f - 4*s + 5, -f + 4*s = -10185 + 10210 for f.
-5
Solve -3*y = 21*v - 24*v, -9*y = 4*v - 13 for v.
1
Solve -16*v - 15*v - 3*r = -36*v + 28, -4*r - 8 = -3*v for v.
8
Solve 5*r = 3*t - 2, -4*r = -t + 338 - 335 for t.
-1
Solve 3*b - 3*x + 27 = 0, -452*b = -449*b + 4*x - 1 for b.
-5
Solve -45*k + 42*k + 4*j + 15 = 0, -5*k - 9*j - 22 = 0 for k.
1
Solve 5*b = 2*m + 27, -1296*m - b = -1299*m - 8 for m.
-1
Solve h = k - 6, -5*h - 209 + 200 = 2*k for k.
3
Solve 4*w + x + 15 = 0, -61*w = -60*w - 5*x - 33 for w.
-2
Solve -2*i - 29 = 3*n, -3*n + 3*i + 20 = -2*i for n.
-5
Solve -146*g - 10 = -151*g + 5*c, 4*g + 5*c = 8 for g.
2
Solve -5*i - 10 = -2*q, 17*i - 4*q - 2 = 18*i for i.
-2
Solve -104*x = -103*x - 5*m - 27, -2*m = 5*x for x.
2
Solve y - 7 = -29*b + 30*b, 23 = 2*y - 5*b for y.
4
Solve -12 = -4*t, 84*f - 86*f = -4*t + 18 for f.
-3
Solve 2*a + 763 = 2*f + 755, -10 = -3*f + 5*a for f.
5
Solve 7*o - 34*h + 39*h - 83 = 0, -4*h + 28 = -4*o for o.
4
Solve 848*m = 843*m + 60, -3*k = -4*m + 42 for k.
2
Solve 0 = -17*f - 3*i - 32, -1697*f = -1695*f + i + 3*i + 22 for f.
-1
Solve -516 + 515 = -2*w + 3*a, 2*w - 4*a = 4 for w.
-4
Solve 0 = 5*t + 5*d - 30, 130*d - 40 = 5*t + 128*d for t.
-4
Solve 4*n - 60 = -969*y + 973*y, 8*n = 2*y + 120 for y.
0
Solve -8*t = -3*t + 5*j, -t = -0*t + 11*j + 50 for t.
5
Solve 4*n = -3*s + 169 - 209, -4*n = 5*s + 48 for n.
-7
Solve -2*b = 5*u - 10, -6 = -800*u + 797*u - 4*b for u.
2
Solve 19*r = -6*v + 22*r + 24, 5*v = 3*r + 24 for v.
0
Solve 0 = -2*q + 4*n - 14, -5*q - 50 = 5*n - 30 for q.
-5
Solve -l + 15 = 5*i, 11 = -3*i + l + 36 for i.
5
Solve 4*q + 14*f + 38 = 0, -2*q + 4*f - 3990 + 4004 = 0 for q.
1
Solve 3*m + 4*q = -12, 17580*m + 6 = 17578*m - 2*q for m.
0
Solve g - 8 = -n - 7, 5*g = 5*n + 25 for n.
-2
Solve 5*k = -78*h + 83*h + 20, 3*k = -4*h - 16 for h.
-4
Solve 5*f - 58*c + 56*c - 12 = 0, 0 = -3*c + 12 for f.
4
Solve 71*q = 76*q - 7*g + 5, -5*q + 6*g = 5 for q.
-1
Solve 3*z - 22 = 2*g, 4*g + 676 - 682 = z for g.
4
Solve 0 = -l - u, -41*u - 24 = 2*l - 45*u for l.
-4
Solve -12 = 4*x - 4*k, -76*x + 27 = -80*x + k for x.
-8
Solve 67*w - 62*w + 5*d = 20, 2*w - 2*d - 12 = 0 for w.
5
Solve -120*v + 54*v - 10 = -61*v, 16 = j - 5*v for j.
6
Solve 0 = 4*t - 8, 871*t + 1 = f + 872*t for f.
-1
Solve -4*y + 5 = n, y - n + 460 - 460 = 0 for y.
1
Solve -3*q + 6 = 2*h, -h + 56*q - 59*q = -6 for h.
0
Solve -5*p + 78 + 132 = -3*y + 149, -3*y = 2*p + 26 for y.
-12
Solve 4*z = -k + 5, -k + 32 = -z + 37 for k.
-3
Solve 3*l = -4*b + 9, -3*b + l + 0*l = -23 for b.
6
Solve 2*g + 3*g + 5*w - 10 = 0, -602 + 588 = -g - 4*w for g.
-2
Solve 762*x - 758*x + 5*d = 98, 0 = 4*x + 4*d - 76 for x.
-3
Solve -t = -163*u + 162*u + 7, -5*u = -t - 15 for t.
-5
Solve -4*m + 30*w = -26*w + 52*w + 8, 5*w = -2*m - 4 for m.
-2
Solve -5*j + 171*k = 169*k + 62, -2*j - 50 = -2*k for j.
-4
Solve 5*l = -5*o + 60, 16*o - 2*l - 81 = 11*o for o.
15
Solve -619*u = -620*u - 3*z + 8, 2*u - 5 = 5*z for u.
5
Solve 5*v + 18*o - 102 = 0, -87*o + 32 = 2*v - 82*o for v.
6
Solve 0 = -3*i, 3*b + 17*i - 19*i - 18 = -0*b for b.
6
Solve 0 = -3*b - 3*g - 15, -106 = 17*b - 4*g - 63 for b.
-3
Solve -34*d - 4 = -6*c - 36*d, 0 = 2*c + 2*d for c.
1
Solve -4*m - 195 = -8*r - 239, -3*r = 2*m - 1 for r.
-3
Solve 7*t = u - 30, 3*u - 49*t = -50*t - 20 for u.
-5
Solve 0 = -2*m + 2*k - 2, 0 = m + 535*k - 526*k - 9 for m.
0
Solve -4*w - 12 = -4*x, -20 = -137*x + 142*x for w.
-7
Solve 244*t - 13 = -5*y + 241*t, 0 = -y - 2*t + 4 for y.
2
Solve -3*i - 21 = -4*k, 5*k = 3*i - 1018 + 1042 for k.
3
Solve 4*a + 29*g + 522 = 0, 0 = -a + 3*g - 3158 + 3212 for a.
0
Solve 5*s - 218*q = -219*q + 81, -67 = -3*s + 4*q for s.
17
Solve 0 = 2*f + 5*p - 7, -19*f - 4*p + 8 = -18*f for f.
-4
Solve 3*h - 3*q + 5 = -2*h, q = -13*h - 57 for h.
-4
Solve 175*z - 174*z + 4*p + 17 = 0, 3*z = -3*p - 6 for z.
3
Solve 5*t + 3*w = 0, 0 = 5*w - 0*w - 25 for t.
-3
Solve 5*j = -4*l - 6, -4*j - 3 = -l + 6*l for l.
1
Solve 2*f - 8 = 2*t, 109160*f + 2*t = 109156*f + 16 for f.
4
Solve 3*b + 669 = 3*r + 627, 67 = 2*r - 5*b for r.
1
Solve -10*o - u + 325 - 333 = 0, 5*o - 5*u - 40 = 0 for o.
0
Solve 0 = 2*a - 2*f + 26, -4*a + 1868*f = 1873*f - 101 for a.
4
Solve 5*i = 9*f + 172 - 213, 24 = 5*f - 4*i for f.
4
Solve 8*h + 1 = 3*v, -164*v - 11 = -5*h - 166*v for h.
1
Solve 4*k - 5785*w + 5787*w + 6 = 0, -4*k + w = 21 for k.
-4
Solve -5*v = -5*x + 15, -1393*v + 1387*v = -x + 13 for x.
1
Solve 0 = -3*c + 5*s + 80, 3*c = -2982*s + 2986*s + 67 for c.
5
Solve -3*h + 33*b - 34*b = 0, 2*h + 5*b = 0 for h.
0
Solve -5*f = -3*w - 30, -3*f + 4*w - 74 = -103 for f.
3
Solve 3*t + p + 19 = -0*p, 4*t = -42*p + 28*p for t.
-7
Solve 1221*j - 8 = 1225*j + 3*o, -5*j + 5*o + 25 = 0 for j.
1
Solve -2*c = 5*g - 212 + 211, -c = -8 for g.
-3
Solve -2*o - 8 = -6*r + 12, -5752*r + 5748*r + 3*o = -10 for r.
4
Solve 2*s - 16 = 2*d, 21*s + 4*d + 5688 = 5706 for s.
2
Solve -2*r + 109 - 79 = -4*u, 0 = -2*r - 3*u + 16 for r.
11
Solve -4*f = 2*c + 2, 58 = 2*c + 60 for f.
0
Solve -829*k = 5*g - 828*k + 12, 0 = 4*k - 12 for g.
-3
Solve 22 = -4*r + 2*a, 2*a + 221 = -2*r + 219 for r.
-4
Solve 0 = -15*z + 11*z + 5*k + 27, -3*z + 6 = 183*k - 182*k for z.
3
Solve 0 = -2*d - 3048*u + 3045*u - 34, 5*u + 51 = -9*d for d.
1
Solve 5 = -9*g + 8*g - 2*h, 12 = -4*h + h for g.
3
Solve 4*r - 18 = -5*y, 5*r + 1163 = -5*y + 1178 for y.
6
Solve 2*i - 10 = -3*d, -18 = -5*i - d + 7 for i.
5
Solve z + 3*w + 8 = 0, 5*z + w + 105 - 107 = 0 for z.
1
Solve 123*j - 120*j = 5*n - 45, 3*j + 27 = 3*n for n.
9
Solve -10*h + 5*o = 30, -20*o + 18*o = 0 for h.
-3
Solve 33 = -5*k + 2*h, 2*k - 5*h + 50 - 20 = 0 for k.
-5
Solve -4*d + 2*q = -0*d, 0 = 2*d + 4*q for d.
0
Solve 4*v + 2*j = -4, -5*v + 19 = 5*j + 34 for v.
1
Solve 2*l = m, -106*l + 102*l = -5*m - 6 for l.
-1
Solve -y + 3*o - 12 = 0, -18 = 266*y - 262*y - 2*o for y.
-3
Solve -5*k + 10 = -a, -2*a - 18*k + 6 = -58 for a.
5
Solve -f = -5*j + 9, j + 3*f + 9232 - 9253 = 0 for j.
3
Solve -5751*i + 5754*i - 14 = | {
"pile_set_name": "DM Mathematics"
} |
/3
Factor -523*q**3/5 + 74786*q**2/5 + 429*q/5.
-q*(q - 143)*(523*q + 3)/5
Factor -x**3/4 - 431*x**2/4 - 20159*x/2 - 38610.
-(x + 4)*(x + 130)*(x + 297)/4
Suppose 3*w**4 - 285*w**3 + 8613*w**2 - 92907*w + 208656 = 0. Calculate w.
3, 21, 23, 48
Solve -2*w**5/5 - 308*w**4/5 - 3174*w**3/5 + 69788*w**2/5 + 51296*w/5 - 207552 = 0.
-141, -23, -4, 4, 10
Suppose u**3/5 - 847678*u**2 + 4490970494417*u/5 + 35928035212808/5 = 0. Calculate u.
-8, 2119199
Suppose -d**5/3 - 5103*d**4 - 48110563*d**3/3 + 27841078711*d**2 - 166902079336*d/3 + 27808989692 = 0. Calculate d.
-8266, 1, 1221
Solve -k**4 + 13*k**3 + 678*k**2 - 5040*k = 0.
-24, 0, 7, 30
Suppose -5*a**5/4 + 1575*a**4/4 - 90485*a**3/2 + 4487715*a**2/2 - 171120465*a/4 + 816422355/4 = 0. Calculate a.
7, 29, 93
Let 4*p**4/11 + 2942*p**3/11 - 773660*p**2/11 + 4172934*p/11 - 1893420/11 = 0. Calculate p.
-942, 1/2, 5, 201
Determine r, given that -2*r**2/11 + 393258*r/11 = 0.
0, 196629
Factor -2*y**2 + 9086*y - 9412220.
-2*(y - 2945)*(y - 1598)
Solve -i**4 - 46*i**3 - 143*i**2 + 10726*i + 42504 = 0.
-33, -23, -4, 14
Factor -y**3/6 + 4667243*y**2/3 - 10891527270670*y/3 - 239615858905676/3.
-(y - 4667254)**2*(y + 22)/6
Solve i**2 + 110016*i + 3025880064 = 0 for i.
-55008
Find z, given that z**2/5 + 28123502*z/5 - 28123503/5 = 0.
-28123503, 1
What is x in 49*x**4/3 - 2673818*x**3/3 + 12158550731*x**2 + 10421778616*x/3 + 744416656/3 = 0?
-1/7, 27284
Factor g**2/4 - 6843519*g + 46833752303361.
(g - 13687038)**2/4
What is d in -3*d**2 + 47992551*d + 335948004 = 0?
-7, 15997524
Factor -5*a**5 - 12219855*a**4 - 7466224481250*a**3 + 22398746762930*a**2 - 22398771202665*a + 7466261140845.
-5*(a - 1)**3*(a + 1221987)**2
Factor -2*n**2 - 1218934*n.
-2*n*(n + 609467)
Solve -4*p**5 + 54896*p**4 - 3606476*p**3 + 10435216*p**2 - 6883632*p = 0 for p.
0, 1, 2, 63, 13658
What is n in 5*n**2 + 6032850*n + 18098505 = 0?
-1206567, -3
Factor 4*n**2 - 87106032*n - 87106036.
4*(n - 21776509)*(n + 1)
Find n, given that -2*n**2 - 1996*n + 684720 = 0.
-1268, 270
Suppose -11*x**3 - 759229*x**2 - 59772556*x + 10892836 = 0. What is x?
-68942, -79, 2/11
Determine h, given that -3*h**4 + 3558789*h**3 + 17794038*h**2 - 21352824*h = 0.
-6, 0, 1, 1186268
Find p, given that p**2/2 - 364218*p = 0.
0, 728436
Suppose -4*n**2 - 1074328*n + 49427552 = 0. Calculate n.
-268628, 46
Suppose 26679813*d**2/5 + 26679814*d/5 + 1/5 = 0. Calculate d.
-1, -1/26679813
Determine y so that -28*y**3/5 - 9515516*y**2/5 + 20390512*y/5 - 2718736/5 = 0.
-339842, 1/7, 2
Solve 4*m**2 - 144932*m + 5357008 = 0.
37, 36196
Find s, given that -4*s**3/3 - 252144*s**2 + 252145*s - 189109/3 = 0.
-189109, 1/2
Solve -5*a**3 - 4201315*a**2 - 8402615*a - 4201305 = 0 for a.
-840261, -1
Suppose 2*s**5 - 142388*s**4 - 1566476*s**3 - 2420992*s**2 + 1566474*s + 2563380 = 0. Calculate s.
-9, -2, -1, 1, 71205
What is w in 2*w**4/3 - 4137422*w**3/3 - 5516570*w**2 - 20687146*w/3 - 8274860/3 = 0?
-2, -1, 2068715
Suppose 2*t**5/13 - 1850*t**4/13 + 465524*t**3/13 - 13318644*t**2/13 - 1624847670*t/13 - 1611061650/13 = 0. Calculate t.
-43, -1, 99, 435
Find i such that 94*i**3/3 - 16846*i**2/3 + 20312*i/3 - 3560/3 = 0.
10/47, 1, 178
Factor d**5/9 + 1762*d**4/9 + 779677*d**3/9 + 1032532*d**2/3 + 343396*d.
d*(d + 2)**2*(d + 879)**2/9
Factor -b**3 - 226253*b**2 + 2036428*b + 15838340.
-(b - 14)*(b + 5)*(b + 226262)
What is x in 2*x**3 + 980502*x**2 + 2941492*x + 1960992 = 0?
-490248, -2, -1
Determine c so that 21*c**3 - 7449537*c**2 + 660653941071*c + 1415721223845 = 0.
-15/7, 177371
Solve -t**3/3 + 6394*t**2 + 1367035*t/3 - 462072 = 0 for t.
-72, 1, 19253
Suppose g**5 - 828*g**4 - 73127*g**3 + 103530186*g**2 + 14007123676*g - 285160499208 = 0. Calculate g.
-206, 18, 611
Factor -2*y**2/13 - 1342106*y/13 + 2684220/13.
-2*(y - 2)*(y + 671055)/13
Factor -68*d**2 - 36420*d + 236312.
-4*(d + 542)*(17*d - 109)
Determine x, given that 2*x**3 + 8522359*x**2/3 - 2367327*x - 15624334/3 = 0.
-1420394, -1, 11/6
Let -3*y**5/4 + 1671*y**4/4 + 163245*y**3/4 - 144562803*y**2/4 + 713831265*y/2 = 0. Calculate y.
-279, 0, 10, 413
Factor -2*n**2/3 + 13218*n + 3291972.
-2*(n - 20073)*(n + 246)/3
What is z in 5*z**2 - 26628845*z - 106515460 = 0?
-4, 5325773
Suppose 143*g**4 - 411604*g**3/7 - 1582331*g**2/7 + 317914*g/7 - 9960/7 = 0. What is g?
-4, 3/77, 2/13, 415
Solve 2*n**3 - 1392*n**2 + 3982*n + 121968 = 0 for n.
-8, 11, 693
Find o, given that 2*o**5/5 + 712*o**4/5 + 11472*o**3/5 - 19332*o**2/5 - 69930*o - 622404/5 = 0.
-339, -17, -3, 6
Find v such that -v**2 + 544682*v + 37587819 = 0.
-69, 544751
Let r**2 + 123489*r - 1111482 = 0. Calculate r.
-123498, 9
Suppose 2*u**3 + 31368*u**2 - 125496*u + 125504 = 0. What is u?
-15688, 2
Factor 3*r**2 + 113916*r - 4903935.
3*(r - 43)*(r + 38015)
Suppose 2*k**3/7 - 10756980*k**2/7 + 2066295226152*k + 4132596599152 = 0. Calculate k.
-2, 2689246
Solve t**3/2 - 2677*t**2/2 + 38291*t + 278040 = 0 for t.
-6, 35, 2648
Factor x**3/2 - 1414265*x**2/2 - 2828536*x - 2828538.
(x - 1414269)*(x + 2)**2/2
Factor -4*m**2 - 103854072*m - 674104266936324.
-4*(m + 12981759)**2
Determine q so that -5*q**4 + 830000*q**3 + 1660055*q**2 - 5810090*q + 3320040 = 0.
-4, 1, 166002
Let -5*l**4 - 3720*l**3 + 145410*l**2 + 718120*l - 3362205 = 0. Calculate l.
-781, -7, 3, 41
Factor -v**2/4 + 127429*v/2 - 3439854.
-(v - 254804)*(v - 54)/4
Find f, given that -f**5/3 - 3319*f**4/3 - 92360*f**3/3 - 697532*f**2/3 + 177120*f + 5265600 = 0.
-3291, -12, -10, 4
What is o in -5*o**2 - 58086500*o - 168702074112500 = 0?
-5808650
Determine f so that 18*f**3/5 - 379*f**2 + 39333*f/5 - 2156 = 0.
5/18, 28, 77
Find i such that 16*i**4 - 79252*i**3 - 932956*i**2 - 2303888*i + 635520 = 0.
-8, -4, 1/4, 4965
Factor -2*g**2/13 + 1492282*g/13 - 7461360/13.
-2*(g - 746136)*(g - 5)/13
Solve 17298*w**4 + 144508236*w**3 + 301810112426*w**2 + 12980879608*w + 139578632 = 0.
-4177, -2/93
Determine r so that 6*r**3/5 - 537783*r**2/5 + 12050036448*r/5 + 18076264704/5 = 0.
-3/2, 44816
Factor 25834*d**3 + 25843*d**2 - 51659*d - 18.
(d - 1)*(d + 2)*(25834*d + 9)
Factor 2*w**2/7 - 150678*w/7 + 11891080/7.
2*(w - 75260)*(w - 79)/7
Suppose -3*w**5/5 + 243*w**4/5 - 6498*w**3/5 + 61986*w**2/5 - 58779*w/5 - 930069/5 = 0. Calculate w.
-3, 7, 19, 21, 37
Let -5*k**2 + 247895*k + 46780980 = 0. What is k?
-188, 49767
Determine w so that w**3 + 3030*w**2 + 90144*w + 432000 = 0.
-3000, -24, -6
Let 2*y**3/3 + 9047914*y**2/3 - 180958880*y/3 + 904795400/3 = 0. What is y?
-4523977, 10
Find h, given that 578*h**5 - 8757754*h**4/3 + 33234424478*h**3/9 - 152531271130*h**2/9 - 21216748000*h/3 - 707281000 = 0.
-10/51, 5, 2523
Factor 6099*r**4/7 + 24387*r**3/7 - 36*r**2/7.
3*r**2*(r + 4)*(2033*r - 3)/7
What is t in 91*t**3/5 - 241448*t**2/5 + 548829*t/5 - 190872/5 = 0?
3/7, 24/13, 2651
Solve -23*t**4/10 + 27771*t**3/5 + 44544*t**2 + 445808*t/5 = 0.
-4, 0, 55726/23
What is d in -14*d**5 - 4474*d**4/3 + 20822*d**3/3 - 5254*d**2/3 - 5460*d + 1776 = 0?
-111, -6/7, 1/3, 1, 4
Solve u**4 + 1101*u**3 - 174169*u**2 - 532389*u = 0.
-1241, -3, 0, 143
Suppose -4*i**5/3 + 4276*i**4 + 701792*i**3 + 118386400*i**2/3 + 862440000*i + 5049000000 = 0. What is i?
-50, -9, 3366
Let -4*i**5 - 8836*i**4 - 304476*i**3 - 251516*i**2 + 1451824*i - 886992 = 0. What is i?
-2174, -34, -3, 1
Let -185*j**5 - 4985*j**4 - 6575*j**3 + 58645*j**2 - 49400*j + 2500 = 0. What is j?
-25, -5, 2/37, 1, 2
Factor -3*y**2/4 - 5379447*y/4 + 2689725/2.
-3*(y - 1)*(y + 1793150)/4
What is x in x**3/3 - 11248*x**2/3 + 22493*x/3 - 11246/3 = 0?
1, 11246
Let 5*v**3 - 103745*v**2 + 10542975*v - 268514235 = 0. What is v?
51, 20647
Solve -3*m**3/4 - 52641*m**2/4 - 54520920*m + 28542424512 = 0.
-9008, 469
Factor -k**2/3 + 22995377*k/3 + 7665126.
-(k - 22995378)*(k + 1)/3
Factor -3*b**2 - 97372536*b - 790117563922608.
-3*(b + 16228756)**2
Suppose -2*c**4 + 1534*c**3 + 130292*c**2 - 266704*c = 0. What is c?
-79, 0, 2, 844
What is q in -2*q**4/15 + 12768*q**3/5 + 76632*q**2/5 + 64*q/15 - 408704/5 = 0?
-4, 2, 19158
Suppose -s**2 - 189540984*s = 0. Calculate s.
-189540984, 0
Find a such that 4*a**3/3 - 4365836*a**2/3 + 69852208*a/3 + 52389264 = 0.
-2, 18, 1091443
Determine f so that -2*f**2/7 + 3361994*f/7 - 13447944/7 = 0.
4, 1680993
Let -1300*j**4 - 446035*j**3 + 849050*j**2 - 474165*j + 72450 = 0. What is j?
-345, 1 | {
"pile_set_name": "DM Mathematics"
} |
32, 274, 480?
2*i**3 + 2*i**2 + 2*i - 36
What is the s'th term of 64, 65, 66, 67, 68, 69?
s + 63
What is the d'th term of 37, 270, 889, 2086, 4053, 6982, 11065, 16494?
32*d**3 + d**2 + 6*d - 2
What is the x'th term of -24, -62, -124, -216, -344, -514, -732?
-x**3 - 6*x**2 - 13*x - 4
What is the o'th term of 69, 229, 497, 873, 1357, 1949?
54*o**2 - 2*o + 17
What is the f'th term of 1, 16, 55, 130, 253, 436, 691?
2*f**3 + f - 2
What is the h'th term of 105, 118, 131, 144?
13*h + 92
What is the t'th term of 13612, 27222, 40832?
13610*t + 2
What is the d'th term of 31, 100, 169, 238, 307, 376?
69*d - 38
What is the s'th term of 33, 25, 19, 21, 37, 73, 135, 229?
s**3 - 5*s**2 + 37
What is the q'th term of 133, 126, 107, 70, 9, -82?
-q**3 + 134
What is the j'th term of 130, 138, 146, 154, 162?
8*j + 122
What is the w'th term of -17, -202, -711, -1706, -3349?
-27*w**3 + 4*w + 6
What is the b'th term of -272, 2, 266, 514, 740, 938, 1102?
-b**3 + b**2 + 278*b - 550
What is the v'th term of 939, 1878, 2817?
939*v
What is the h'th term of 71, 73, 75, 77, 79?
2*h + 69
What is the v'th term of -15, -5, 3, 9, 13?
-v**2 + 13*v - 27
What is the h'th term of 841, 814, 765, 688, 577, 426, 229, -20?
-h**3 - 5*h**2 - 5*h + 852
What is the j'th term of 251, 500, 749?
249*j + 2
What is the y'th term of 34, 9, -44, -131, -258?
-y**3 - 8*y**2 + 6*y + 37
What is the m'th term of 3, 0, -3, 0, 15, 48, 105?
m**3 - 6*m**2 + 8*m
What is the m'th term of 169, 168, 167, 166, 165, 164?
-m + 170
What is the p'th term of -40, -66, -108, -172, -264, -390, -556?
-p**3 - 2*p**2 - 13*p - 24
What is the z'th term of 18, 15, 10, 3, -6, -17?
-z**2 + 19
What is the c'th term of 4, -2, -6, -8, -8, -6?
c**2 - 9*c + 12
What is the k'th term of 520, 1041, 1562, 2083?
521*k - 1
What is the r'th term of -8, -28, -90, -218, -436, -768, -1238?
-4*r**3 + 3*r**2 - r - 6
What is the a'th term of -150, -142, -146, -168, -214, -290, -402?
-a**3 + 15*a - 164
What is the w'th term of -66, -46, -10, 48, 134, 254, 414, 620?
w**3 + 2*w**2 + 7*w - 76
What is the v'th term of -20, -82, -192, -374, -652, -1050, -1592?
-4*v**3 - 34*v + 18
What is the d'th term of 8, -7, -38, -91, -172, -287?
-d**3 - 2*d**2 - 2*d + 13
What is the r'th term of 20, 19, 16, 11, 4?
-r**2 + 2*r + 19
What is the w'th term of 3783, 7567, 11351, 15135, 18919?
3784*w - 1
What is the l'th term of 6, 63, 158, 291, 462, 671, 918?
19*l**2 - 13
What is the r'th term of 15, -7, -23, -33, -37, -35?
3*r**2 - 31*r + 43
What is the c'th term of -26, -114, -270, -500, -810?
-c**3 - 28*c**2 + 3*c
What is the u'th term of 294, 302, 310, 318?
8*u + 286
What is the i'th term of -49, -47, -45, -43, -41?
2*i - 51
What is the c'th term of 21, 177, 431, 777, 1209?
-c**3 + 55*c**2 - 2*c - 31
What is the j'th term of -400, -401, -402?
-j - 399
What is the a'th term of 247, 251, 257, 265, 275, 287, 301?
a**2 + a + 245
What is the b'th term of 1282, 1268, 1256, 1246, 1238, 1232, 1228?
b**2 - 17*b + 1298
What is the q'th term of 110, 109, 108, 107, 106?
-q + 111
What is the h'th term of -1338, -1339, -1342, -1347, -1354?
-h**2 + 2*h - 1339
What is the f'th term of -279, -264, -241, -210, -171, -124, -69?
4*f**2 + 3*f - 286
What is the h'th term of 74, 151, 228, 305, 382?
77*h - 3
What is the j'th term of -157, -318, -479, -640, -801, -962?
-161*j + 4
What is the r'th term of -8, -12, -28, -62, -120, -208?
-r**3 + 3*r - 10
What is the j'th term of -55, -70, -79, -82, -79, -70, -55?
3*j**2 - 24*j - 34
What is the o'th term of -26, -14, 4, 28, 58?
3*o**2 + 3*o - 32
What is the g'th term of -19, 19, 57, 95, 133?
38*g - 57
What is the r'th term of 249, 501, 755, 1011, 1269, 1529?
r**2 + 249*r - 1
What is the j'th term of -26, -12, 24, 94, 210, 384, 628, 954?
2*j**3 - j**2 + 3*j - 30
What is the s'th term of 32, 61, 90?
29*s + 3
What is the i'th term of 11738, 23473, 35210, 46949, 58690, 70433, 82178?
i**2 + 11732*i + 5
What is the h'th term of -1170, -2332, -3494, -4656, -5818?
-1162*h - 8
What is the d'th term of 251, 509, 769, 1031, 1295, 1561?
d**2 + 255*d - 5
What is the o'th term of 44, 55, 74, 101, 136, 179, 230?
4*o**2 - o + 41
What is the l'th term of 37, 89, 153, 235, 341?
l**3 + 45*l - 9
What is the x'th term of 110, 245, 382, 521?
x**2 + 132*x - 23
What is the q'th term of 18, 31, 42, 51, 58, 63?
-q**2 + 16*q + 3
What is the r'th term of -369, -637, -915, -1209, -1525, -1869, -2247?
-r**3 + r**2 - 264*r - 105
What is the j'th term of -75, -101, -141, -195?
-7*j**2 - 5*j - 63
What is the m'th term of -109, -122, -143, -172, -209?
-4*m**2 - m - 104
What is the i'th term of -4, -16, -34, -58?
-3*i**2 - 3*i + 2
What is the m'th term of 120, 240, 360, 480, 600, 720?
120*m
What is the y'th term of 104, 125, 174, 263, 404, 609, 890?
2*y**3 + 2*y**2 + y + 99
What is the g'th term of 3220, 6438, 9656?
3218*g + 2
What is the f'th term of -4, -57, -146, -289, -504, -809?
-3*f**3 - 32*f + 31
What is the i'th term of -18, -63, -156, -321, -582, -963, -1488, -2181?
-4*i**3 - 17*i + 3
What is the v'th term of -218, -439, -660?
-221*v + 3
What is the z'th term of -88, -55, -8, 59, 152, 277, 440, 647?
z**3 + z**2 + 23*z - 113
What is the c'th term of 12385, 12386, 12387, 12388, 12389?
c + 12384
What is the g'th term of 1, -2, 3, 22, 61, 126, 223, 358?
g**3 - 2*g**2 - 4*g + 6
What is the j'th term of -291, -298, -303, -306, -307, -306?
j**2 - 10*j - 282
What is the g'th term of 218, 221, 224, 227?
3*g + 215
What is the g'th term of -2, 14, 16, -2, -46, -122?
-g**3 - g**2 + 26*g - 26
What is the j'th term of -1, -21, -45, -67, -81, -81?
j**3 - 8*j**2 - 3*j + 9
What is the w'th term of 21, 49, 101, 183, 301?
w**3 + 6*w**2 + 3*w + 11
What is the g'th term of -6, 4, 14, 24?
10*g - 16
What is the u'th term of -201, -217, -243, -279, -325?
-5*u**2 - u - 195
What is the x'th term of 501, 502, 503, 504, 505, 506?
x + 500
What is the g'th term of -1522, -1518, -1514, -1510, -1506?
4*g - 1526
What is the h'th term of 10, 18, 16, -2, -42, -110?
-h**3 + h**2 + 12*h - 2
What is the m'th term of -161, -269, -385, -515, -665, -841, -1049?
-m**3 + 2*m**2 - 107*m - 55
What is the r'th term of 89, 41, -9, -61, -115?
-r**2 - 45*r + 135
What is the j'th term of -201, -400, -599, -798, -997, -1196?
-199*j - 2
What is the m'th term of -43, -160, -355, -628, -979, -1408, -1915?
-39*m**2 - 4
What is the o'th term of 1256, 1222, 1138, 980, 724, 346, -178, -872?
-4*o**3 - o**2 - 3*o + 1264
What is the c'th term of -39, -69, -93, -111, -123?
3*c**2 - 39*c - 3
What is the n'th term of 248, 491, 734, 977?
243*n + 5
What is the j'th term of 130, 137, 148, 163, 182?
2*j**2 + j + 127
What is the m'th term of -15, -41, -61, -69, -59, -25, 39, 139?
m**3 - 3*m**2 - 24*m + 11
What is the j'th term of -9, -2, 25, 84, 187, 346?
2*j**3 - 2*j**2 - j - 8
What is the a'th term of 348, 696, 1044, 1392?
348*a
What is the n'th term of -11, 6, 37, 82, 141, 214?
7*n**2 - 4*n - 14
What is the x'th term of -16, -58, -116, -184, -256, -326?
x**3 - 14*x**2 - 7*x + 4
What is the o'th term of -13, -6, 1?
7*o - 20
What is the u'th term of -3087, -3091, -3089, -3075, -3043, -2987, -2901?
u**3 - 3*u**2 - 2*u - 3083
What is the s'th term of 2700, 2695, 2690, 2685, 2680?
-5*s + 2705
What is the k'th term of -67, -56, -31, 14, 85, 188, 329, 514?
k**3 + k**2 + k - 70
What is the i'th term of 15283, 15281, 15279, 15277, 15275, 15273?
-2*i + 15285
What is the i'th term of 361, 724, 1087, 1450, 1813, 2176?
363*i - 2
What is the t'th term of -103, -131, -175, -235, -311?
-8*t**2 - 4*t - 91
What is the v'th term of -213, -1646, -5539, -13122, -25625, -44278?
-205*v**3 + 2*v - 10
What is the i'th term of -6174, -12346, -18518, -24690, -30862, -37034?
-6172*i - 2
What is the p'th term of 5, 24, 57, 104, 165, 240, 329?
7*p**2 - 2*p
What is the y'th term of -39, -201, -471, -849, -1335, -1929?
-54*y**2 + 15
What is the q'th term of -750, -1500, -2250, -3000, -3750, -4500?
-750*q
What is the c'th term of -61, -113, -163, -211, -257, -301?
c**2 - 55*c - 7
What is the k'th term of -74, -73, -72, -71?
k - 75
What is the n'th term of -23523, -23524, -23525?
-n - 23522
What is the l'th term of 2571, 5137, 7703, 10269, 12835?
2566*l + 5
What is the v'th term of 10888, 21777, 32666, 43555, 54444, 65333?
10889*v - 1
What is the l'th term of | {
"pile_set_name": "DM Mathematics"
} |
aad. What is prob of picking 4 a?
6/13
Two letters picked without replacement from {s: 1, w: 1, j: 2, y: 5, o: 1}. Give prob of picking 1 o and 1 s.
1/45
What is prob of picking 2 m when two letters picked without replacement from {y: 4, m: 2, b: 2}?
1/28
Calculate prob of picking 4 x when four letters picked without replacement from {b: 6, x: 4}.
1/210
Two letters picked without replacement from {i: 10, c: 2, u: 2, q: 5, m: 1}. Give prob of picking 1 u and 1 c.
2/95
What is prob of picking 1 e and 1 p when two letters picked without replacement from pse?
1/3
What is prob of picking 2 s when two letters picked without replacement from {i: 5, j: 3, s: 3}?
3/55
Three letters picked without replacement from vvccgvsvfvvcgcfgc. What is prob of picking 1 s, 1 v, and 1 c?
3/68
Calculate prob of picking 2 c when two letters picked without replacement from {c: 7, n: 3, l: 4, d: 1, k: 1}.
7/40
Three letters picked without replacement from {v: 12, e: 7}. Give prob of picking 2 v and 1 e.
154/323
Calculate prob of picking 1 t, 1 b, and 1 u when three letters picked without replacement from {a: 1, u: 8, b: 4, t: 7}.
56/285
Calculate prob of picking 2 h when two letters picked without replacement from hhhhh.
1
Two letters picked without replacement from {w: 7, a: 5}. Give prob of picking 2 w.
7/22
Two letters picked without replacement from {i: 7, o: 2, t: 3, m: 6, v: 1}. What is prob of picking 1 i and 1 t?
7/57
Three letters picked without replacement from {f: 5, c: 1, r: 1, e: 2}. What is prob of picking 3 f?
5/42
Two letters picked without replacement from {f: 3, y: 7, q: 2, p: 5, b: 1, k: 2}. Give prob of picking 1 y and 1 k.
7/95
Calculate prob of picking 2 d when two letters picked without replacement from {d: 7, k: 9}.
7/40
Two letters picked without replacement from {y: 7, v: 4, r: 2, j: 5}. Give prob of picking 1 j and 1 y.
35/153
Three letters picked without replacement from {a: 12, t: 1}. What is prob of picking 3 a?
10/13
Three letters picked without replacement from {f: 2, t: 11, b: 3, s: 3}. What is prob of picking 1 f, 1 s, and 1 b?
6/323
Four letters picked without replacement from {y: 4}. Give prob of picking 4 y.
1
Four letters picked without replacement from {u: 3, p: 2, i: 2, z: 5}. What is prob of picking 1 u, 1 z, and 2 i?
1/33
Two letters picked without replacement from yyyyybubyy. What is prob of picking 2 y?
7/15
Three letters picked without replacement from {f: 1, i: 4, c: 1, o: 8, q: 2, w: 4}. What is prob of picking 2 w and 1 f?
1/190
Calculate prob of picking 1 h and 1 j when two letters picked without replacement from hhmjhhhhhhhhhhjhham.
28/171
What is prob of picking 4 r when four letters picked without replacement from {r: 5, g: 7, b: 4}?
1/364
Four letters picked without replacement from fnfnnfffffffff. What is prob of picking 4 f?
30/91
Two letters picked without replacement from {v: 2, k: 3, i: 1, c: 3, u: 4, y: 3}. Give prob of picking 1 u and 1 i.
1/30
Two letters picked without replacement from {r: 4, y: 3, f: 3, w: 4}. What is prob of picking 1 f and 1 w?
12/91
Two letters picked without replacement from {n: 7, l: 1, m: 7, e: 2}. What is prob of picking 1 n and 1 l?
7/136
What is prob of picking 2 z when two letters picked without replacement from llllllzllz?
1/45
Three letters picked without replacement from ejtteyyyyetetyeyyy. What is prob of picking 3 y?
7/102
Four letters picked without replacement from tittittiizt. Give prob of picking 1 t, 1 z, and 2 i.
6/55
Three letters picked without replacement from dodmmdmodmmddmdod. What is prob of picking 2 o and 1 m?
9/340
What is prob of picking 2 r when two letters picked without replacement from jrarrjrarjrajar?
1/5
Calculate prob of picking 2 h, 1 l, and 1 w when four letters picked without replacement from lffwlnhwlannw.
0
Three letters picked without replacement from {g: 3, v: 7}. What is prob of picking 3 v?
7/24
Two letters picked without replacement from kkponpknmmonkkm. Give prob of picking 2 k.
2/21
Four letters picked without replacement from pcpmrcogm. What is prob of picking 1 m, 1 p, 1 o, and 1 c?
4/63
Calculate prob of picking 2 w when two letters picked without replacement from zzwkckwqzzzkbkqwbkzq.
3/190
What is prob of picking 2 x and 1 h when three letters picked without replacement from {p: 3, u: 3, h: 4, w: 3, x: 2, c: 1}?
1/140
Calculate prob of picking 2 p and 2 d when four letters picked without replacement from pwzppwddwwwdpppp.
9/260
Two letters picked without replacement from qmqccrrcxgrc. What is prob of picking 1 m and 1 x?
1/66
Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {f: 2, i: 9}.
18/55
Three letters picked without replacement from lllltlltttltl. What is prob of picking 1 l and 2 t?
40/143
Four letters picked without replacement from wuywgykewegegkyueek. What is prob of picking 1 y, 1 g, and 2 k?
9/1292
Three letters picked without replacement from lunuuluul. Give prob of picking 1 u and 2 l.
5/28
Two letters picked without replacement from {r: 2, f: 1, l: 1, h: 3, o: 6}. Give prob of picking 1 o and 1 h.
3/13
Three letters picked without replacement from ikkyykykvyvkv. What is prob of picking 1 i and 2 k?
5/143
What is prob of picking 2 t and 1 o when three letters picked without replacement from fiitbtobbtbiftitif?
5/408
Calculate prob of picking 4 c when four letters picked without replacement from kkckkckkkckckckkck.
1/204
Two letters picked without replacement from {x: 6, k: 5, p: 1, f: 7}. What is prob of picking 1 f and 1 x?
14/57
Four letters picked without replacement from uuuukukuuuuu. What is prob of picking 2 k and 2 u?
1/11
What is prob of picking 1 y and 1 p when two letters picked without replacement from plffyp?
2/15
What is prob of picking 1 j and 1 f when two letters picked without replacement from jfyyjffgf?
2/9
Calculate prob of picking 2 f when two letters picked without replacement from fffffffhfffhffh.
22/35
Four letters picked without replacement from zykfkfyyzyffy. Give prob of picking 4 y.
1/143
Four letters picked without replacement from {q: 1, z: 8, u: 2, v: 7, w: 1}. What is prob of picking 1 w, 1 u, 1 q, and 1 v?
7/1938
Four letters picked without replacement from {s: 15, q: 3}. What is prob of picking 2 q and 2 s?
7/68
Calculate prob of picking 1 g and 1 q when two letters picked without replacement from ittuitgqttin.
1/66
Two letters picked without replacement from pmmpmfjpuww. Give prob of picking 1 f and 1 p.
3/55
Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, h: 2, q: 10}.
1/91
What is prob of picking 1 v and 3 c when four letters picked without replacement from ccjnxnnnjncnjvcvn?
2/595
Four letters picked without replacement from kkkkokkkkoooo. What is prob of picking 3 k and 1 o?
56/143
What is prob of picking 2 d when two letters picked without replacement from dzhzzdpdpdithzz?
2/35
Calculate prob of picking 3 x and 1 g when four letters picked without replacement from xgxxgxgxxxxxxxxx.
33/70
What is prob of picking 1 v, 1 b, and 1 a when three letters picked without replacement from {v: 1, r: 2, q: 1, a: 1, b: 2}?
2/35
Two letters picked without replacement from fffffwffffww. What is prob of picking 2 f?
6/11
Calculate prob of picking 2 n when two letters picked without replacement from {f: 3, o: 4, k: 1, n: 2}.
1/45
Three letters picked without replacement from kzzmzzkzkmm. What is prob of picking 1 m, 1 z, and 1 k?
3/11
Calculate prob of picking 3 z when three letters picked without replacement from gzzzggzggggggg.
1/91
Four letters picked without replacement from ttbttgtssbtuttbtbtth. What is prob of picking 3 t and 1 s?
22/323
What is prob of picking 1 h, 1 i, and 1 a when three letters picked without replacement from ijaaooojjajaaha?
6/455
What is prob of picking 2 t and 1 u when three letters picked without replacement from {v: 2, u: 7, t: 4}?
21/143
What is prob of picking 2 v and 1 a when three letters picked without replacement from {c: 2, v: 2, a: 1, k: 1, g: 2, n: 1}?
1/84
Four letters picked without replacement from {l: 6, r: 3, g: 8, q: 2}. What is prob of picking 2 g, 1 r, and 1 l?
42/323
Four letters picked without replacement from wlawukwwkkwwkwlw. Give prob of picking 2 w, 1 a, and 1 u.
1/65
Tw | {
"pile_set_name": "DM Mathematics"
} |
of -255, -533, -811?
-278*k + 23
What is the t'th term of -65, -76, -109, -176, -289, -460, -701, -1024?
-2*t**3 + t**2 - 64
What is the b'th term of 18, 30, 42, 54, 66?
12*b + 6
What is the r'th term of 29, 56, 83?
27*r + 2
What is the u'th term of -2400, -4803, -7206, -9609, -12012?
-2403*u + 3
What is the m'th term of -788, -792, -796, -800, -804, -808?
-4*m - 784
What is the r'th term of -57, -23, 41, 141, 283, 473, 717?
r**3 + 9*r**2 - 67
What is the n'th term of 35, 64, 81, 80, 55?
-n**3 + 36*n
What is the f'th term of -132, -249, -392, -573, -804, -1097, -1464?
-2*f**3 - f**2 - 100*f - 29
What is the y'th term of -62, -125, -188, -251, -314?
-63*y + 1
What is the o'th term of 105, 414, 921, 1620, 2505, 3570, 4809, 6216?
-o**3 + 105*o**2 + o
What is the w'th term of 95, 90, 85, 80, 75, 70?
-5*w + 100
What is the o'th term of -183, -194, -219, -264, -335?
-o**3 - o**2 - o - 180
What is the a'th term of -556, -555, -554, -553?
a - 557
What is the v'th term of 136, 271, 402, 529, 652, 771, 886?
-2*v**2 + 141*v - 3
What is the h'th term of -16, 19, 84, 185, 328, 519, 764, 1069?
h**3 + 9*h**2 + h - 27
What is the h'th term of -12, -63, -150, -273?
-18*h**2 + 3*h + 3
What is the v'th term of -27, -37, -61, -105, -175?
-v**3 - v**2 - 25
What is the o'th term of -13, -14, -15, -16?
-o - 12
What is the s'th term of 2, -4, -24, -64, -130, -228?
-s**3 - s**2 + 4*s
What is the x'th term of 101, 98, 95?
-3*x + 104
What is the a'th term of 561, 1128, 1697, 2268, 2841, 3416?
a**2 + 564*a - 4
What is the d'th term of 406, 435, 492, 583, 714?
d**3 + 8*d**2 - 2*d + 399
What is the n'th term of -180, -178, -166, -138, -88, -10?
n**3 - n**2 - 2*n - 178
What is the s'th term of -46, -179, -398, -703, -1094, -1571, -2134?
-43*s**2 - 4*s + 1
What is the o'th term of -2, -15, -32, -53, -78, -107?
-2*o**2 - 7*o + 7
What is the t'th term of -49, -42, -31, -16, 3, 26?
2*t**2 + t - 52
What is the n'th term of -73, -89, -117, -163, -233, -333, -469?
-n**3 - 9*n - 63
What is the j'th term of -19, -24, -15, 14, 69, 156, 281, 450?
j**3 + j**2 - 15*j - 6
What is the d'th term of -16, -35, -58, -85, -116, -151?
-2*d**2 - 13*d - 1
What is the f'th term of 143, 259, 363, 449, 511?
-f**3 + 123*f + 21
What is the f'th term of -17, -90, -215, -392, -621?
-26*f**2 + 5*f + 4
What is the c'th term of -62, -65, -68?
-3*c - 59
What is the t'th term of 93, 91, 89, 87?
-2*t + 95
What is the c'th term of -489, -486, -473, -444, -393?
c**3 - c**2 - c - 488
What is the p'th term of -2552, -2574, -2604, -2648, -2712, -2802, -2924, -3084?
-p**3 + 2*p**2 - 21*p - 2532
What is the j'th term of 11, 42, 75, 110, 147, 186, 227?
j**2 + 28*j - 18
What is the d'th term of -901, -886, -873, -862, -853, -846?
-d**2 + 18*d - 918
What is the d'th term of 43, 124, 337, 748, 1423, 2428?
11*d**3 + 4*d + 28
What is the t'th term of 14, 53, 120, 215, 338, 489, 668?
14*t**2 - 3*t + 3
What is the c'th term of 2002, 2004, 2008, 2014?
c**2 - c + 2002
What is the s'th term of 125, 119, 103, 71, 17, -65, -181, -337?
-s**3 + s**2 - 2*s + 127
What is the s'th term of -79, -80, -81, -82, -83, -84?
-s - 78
What is the p'th term of -15, -8, -1, 6?
7*p - 22
What is the o'th term of 27, 127, 297, 537?
35*o**2 - 5*o - 3
What is the i'th term of 93, 167, 283, 435, 617, 823, 1047?
-i**3 + 27*i**2 + 67
What is the r'th term of -39575, -79150, -118725, -158300, -197875?
-39575*r
What is the d'th term of -304, -1411, -3264, -5869, -9232, -13359, -18256, -23929?
-d**3 - 367*d**2 + d + 63
What is the x'th term of 782, 785, 788, 791, 794?
3*x + 779
What is the f'th term of -12, -12, -10, -6, 0, 8?
f**2 - 3*f - 10
What is the u'th term of 1410, 1419, 1442, 1485, 1554, 1655?
u**3 + u**2 - u + 1409
What is the f'th term of -122, -246, -370, -494?
-124*f + 2
What is the o'th term of 22, 47, 72, 97?
25*o - 3
What is the g'th term of -5, -8, -13, -20, -29?
-g**2 - 4
What is the b'th term of 207, 432, 807, 1332, 2007, 2832, 3807?
75*b**2 + 132
What is the d'th term of 139, 281, 417, 547, 671, 789, 901?
-3*d**2 + 151*d - 9
What is the z'th term of -279, -560, -847, -1146, -1463?
-z**3 + 3*z**2 - 283*z + 2
What is the x'th term of 33, 18, -19, -90, -207, -382, -627?
-2*x**3 + x**2 - 4*x + 38
What is the n'th term of -24, -43, -82, -147, -244, -379, -558, -787?
-n**3 - 4*n**2 - 19
What is the k'th term of 103, 110, 129, 166, 227?
k**3 + 102
What is the j'th term of -13, -14, -15, -16, -17?
-j - 12
What is the s'th term of -25, -29, -33, -37, -41?
-4*s - 21
What is the k'th term of -778, -1549, -2320, -3091?
-771*k - 7
What is the m'th term of -212, -252, -318, -410, -528, -672, -842?
-13*m**2 - m - 198
What is the w'th term of 171, 176, 191, 222, 275, 356, 471, 626?
w**3 - w**2 + w + 170
What is the c'th term of 54, 112, 170?
58*c - 4
What is the h'th term of 25, 2, -21, -32, -19, 30, 127?
2*h**3 - 12*h**2 - h + 36
What is the q'th term of -94, -127, -180, -253, -346?
-10*q**2 - 3*q - 81
What is the x'th term of -4145, -4142, -4137, -4130, -4121, -4110?
x**2 - 4146
What is the r'th term of -16, -33, -64, -115, -192, -301, -448, -639?
-r**3 - r**2 - 7*r - 7
What is the l'th term of -152, -151, -142, -119, -76, -7, 94?
l**3 - 2*l**2 - 151
What is the h'th term of 16, 17, 18, 19, 20?
h + 15
What is the u'th term of 46, 13, -50, -149, -290?
-u**3 - 9*u**2 + u + 55
What is the p'th term of -47, -44, -37, -26, -11?
2*p**2 - 3*p - 46
What is the q'th term of -23, -32, -41?
-9*q - 14
What is the f'th term of 0, 87, 254, 507, 852?
f**3 + 34*f**2 - 22*f - 13
What is the k'th term of -232, -935, -2106, -3745, -5852?
-234*k**2 - k + 3
What is the h'th term of 21, 44, 65, 84, 101, 116, 129?
-h**2 + 26*h - 4
What is the n'th term of -56, -80, -120, -176, -248?
-8*n**2 - 48
What is the b'th term of 9, 16, 21, 24?
-b**2 + 10*b
What is the h'th term of -770, -735, -714, -713, -738, -795, -890, -1029?
-h**3 - h**2 + 45*h - 813
What is the x'th term of 2434, 2411, 2352, 2239, 2054, 1779, 1396?
-3*x**3 - 2*x + 2439
What is the k'th term of -63, -134, -201, -258, -299?
k**3 - 4*k**2 - 66*k + 6
What is the n'th term of -492, -1984, -4476, -7968, -12460?
-500*n**2 + 8*n
What is the i'th term of -51, -70, -89, -108, -127?
-19*i - 32
What is the x'th term of 91, 240, 389, 538, 687?
149*x - 58
What is the p'th term of -41, -35, -27, -17, -5?
p**2 + 3*p - 45
What is the y'th term of 18, 61, 166, 363, 682, 1153, 1806?
5*y**3 + y**2 + 5*y + 7
What is the l'th term of 795, 1587, 2379?
792*l + 3
What is the g'th term of 5677, 5675, 5671, 5665, 5657, 5647?
-g**2 + g + 5677
What is the s'th term of -541, -1083, -1611, -2119, -2601?
s**3 + s**2 - 552*s + 9
What is the t'th term of -17, -18, -19?
-t - 16
What is the m'th term of -1404, -2810, -4224, -5652, -7100, -8574, -10080, -11624?
-m**3 + 2*m**2 - 1405*m
What is the f'th term of -1906, -1925, -1942, -1957, -1970?
f**2 - 22*f - 1885
What is the k'th term of 104, 114, 140, 188, 264, 374?
k**3 + 2*k**2 - 3*k + 104
What is the l'th term of 92, 72, 52, 32, 12, -8?
-20*l + 112
What is the y'th term of 9606, 9605, 9604, 9603?
-y + 9607
What is the q'th term of -65, -87, -123, -173, -237?
-7*q**2 - q - 57
What is the x'th term of -29, -90, -169, -266?
-9*x**2 - 34*x + 14
What is the w'th term of 3, -11, -25, -39, -53, -67?
-14*w + 17
What is the b'th term of 6306, 12615, 18924, 25233?
6309*b - 3
What is the w'th term of 2058, 4118, 6178, 8238?
2060*w - 2
What is the x'th term of 307, 320, 367, 466, 635, 892?
3*x**3 - x**2 - 5*x + 310
What is the s'th term of 3, 4, 3, 0?
-s**2 + 4*s
What is the r'th term of -105, -126, -165, -222, -297, -390, -501?
-9*r**2 + 6*r - 102
What is the l'th term of 728, 1458, 2186, 2912, 3636, 4358, 5078?
-l**2 + 733*l - 4
What is the m'th term of -115, -125, -125, -109, -71?
m**3 - m**2 - 14*m - 101
What is the i'th term of 76, 78, 80?
2*i + 74
What is the a'th term of -417, -416, -415, -414, -413, -412?
a - 418
What is the p'th term of 775, 776, 777, 778, 779, 780?
p + 774
What is the r'th term of 134, 136, 138, 140, 142?
2*r + 132
What is the b'th term of -7, 4, 15, 26?
11*b - 18
What is the r'th term of 1887, 1895, 1915, 1953, 2015, 2107, 2235, 2405?
r**3 + r + 1885
What is the l'th term of -5, -2, 9, 34, 79, 150, 253?
l**3 - 2*l**2 + 2*l - 6
What is the y'th term of 17, 82, 189, 338, 5 | {
"pile_set_name": "DM Mathematics"
} |
term of 12, -6, -40, -84, -132?
n**3 - 14*n**2 + 17*n + 8
What is the j'th term of 5, 17, 39, 77, 137, 225?
j**3 - j**2 + 8*j - 3
What is the y'th term of -12, -9, -4, 3, 12, 23, 36?
y**2 - 13
What is the k'th term of 44, 40, 38, 38?
k**2 - 7*k + 50
What is the q'th term of 703, 697, 687, 673, 655, 633?
-2*q**2 + 705
What is the c'th term of 58, 58, 52, 34, -2, -62, -152, -278?
-c**3 + 3*c**2 - 2*c + 58
What is the p'th term of -200, -789, -1762, -3113, -4836, -6925?
p**3 - 198*p**2 - 2*p - 1
What is the x'th term of -1166, -1160, -1144, -1112, -1058?
x**3 - x**2 + 2*x - 1168
What is the t'th term of 45, 164, 283?
119*t - 74
What is the b'th term of 108, 106, 104, 102?
-2*b + 110
What is the d'th term of -706, -1418, -2132, -2848, -3566, -4286?
-d**2 - 709*d + 4
What is the o'th term of 32, 113, 242, 419, 644?
24*o**2 + 9*o - 1
What is the j'th term of 600, 599, 598, 597, 596?
-j + 601
What is the x'th term of 3, -2, -7, -12?
-5*x + 8
What is the v'th term of 3, 1, 5, 21, 55, 113, 201?
v**3 - 3*v**2 + 5
What is the c'th term of -16, 11, 62, 143, 260, 419, 626, 887?
c**3 + 6*c**2 + 2*c - 25
What is the v'th term of 174, 700, 1574, 2796, 4366, 6284, 8550?
174*v**2 + 4*v - 4
What is the d'th term of 4185, 8364, 12533, 16686, 20817, 24920, 28989?
-d**3 + d**2 + 4183*d + 2
What is the k'th term of 119, 124, 133, 146, 163, 184?
2*k**2 - k + 118
What is the x'th term of 906, 898, 900, 918, 958?
x**3 - x**2 - 12*x + 918
What is the h'th term of 59025, 59019, 59003, 58971, 58917, 58835?
-h**3 + h**2 - 2*h + 59027
What is the i'th term of -884, -877, -870?
7*i - 891
What is the d'th term of -36, -136, -320, -600, -988, -1496, -2136, -2920?
-2*d**3 - 30*d**2 + 4*d - 8
What is the o'th term of -247, -241, -245, -265, -307, -377, -481?
-o**3 + o**2 + 10*o - 257
What is the r'th term of 1674, 1673, 1670, 1665, 1658, 1649, 1638?
-r**2 + 2*r + 1673
What is the c'th term of 223, 450, 677?
227*c - 4
What is the v'th term of 251, 514, 791, 1088, 1411, 1766, 2159, 2596?
v**3 + v**2 + 253*v - 4
What is the f'th term of -1815, -3628, -5441, -7254, -9067, -10880?
-1813*f - 2
What is the v'th term of 11, 30, 51, 74, 99, 126?
v**2 + 16*v - 6
What is the t'th term of 266, 265, 264?
-t + 267
What is the t'th term of 48, 170, 362, 618, 932, 1298, 1710?
-t**3 + 41*t**2 + 6*t + 2
What is the i'th term of -176, -187, -198, -203, -196, -171?
i**3 - 6*i**2 - 171
What is the z'th term of 32, 39, 36, 17, -24, -93, -196?
-z**3 + z**2 + 11*z + 21
What is the r'th term of -2, -16, -34, -50, -58, -52?
r**3 - 8*r**2 + 3*r + 2
What is the k'th term of 6, -7, -28, -57?
-4*k**2 - k + 11
What is the r'th term of 1119, 2239, 3359, 4479, 5599?
1120*r - 1
What is the n'th term of -1028, -1027, -1026?
n - 1029
What is the v'th term of 2819, 5638, 8457, 11276?
2819*v
What is the u'th term of 76, 70, 50, 10, -56, -154, -290, -470?
-u**3 - u**2 + 4*u + 74
What is the y'th term of 483, 959, 1435, 1911, 2387, 2863?
476*y + 7
What is the a'th term of -12, -19, -24, -27?
a**2 - 10*a - 3
What is the t'th term of -753, -751, -749, -747, -745, -743?
2*t - 755
What is the i'th term of -405, -396, -373, -330, -261?
i**3 + i**2 - i - 406
What is the t'th term of -279, -559, -839, -1119, -1399?
-280*t + 1
What is the p'th term of 370, 738, 1106?
368*p + 2
What is the q'th term of 2334, 2329, 2322, 2313, 2302, 2289?
-q**2 - 2*q + 2337
What is the y'th term of 1, -16, -53, -116, -211, -344, -521, -748?
-y**3 - 4*y**2 + 2*y + 4
What is the h'th term of -2969, -2970, -2971, -2972?
-h - 2968
What is the o'th term of 1220, 1221, 1222, 1223, 1224?
o + 1219
What is the g'th term of 395, 849, 1299, 1745, 2187?
-2*g**2 + 460*g - 63
What is the k'th term of 108, 219, 326, 429, 528, 623, 714?
-2*k**2 + 117*k - 7
What is the x'th term of 5395, 5394, 5393, 5392?
-x + 5396
What is the p'th term of -6, -10, -26, -60, -118, -206?
-p**3 + 3*p - 8
What is the s'th term of 50, 102, 154, 206?
52*s - 2
What is the z'th term of 104, 123, 164, 233, 336?
z**3 + 5*z**2 - 3*z + 101
What is the f'th term of -32, -113, -248, -437, -680?
-27*f**2 - 5
What is the n'th term of 30, 13, -22, -81, -170, -295?
-n**3 - 3*n**2 - n + 35
What is the v'th term of 7, -11, -29, -47, -65, -83?
-18*v + 25
What is the r'th term of 212, 219, 226, 233, 240?
7*r + 205
What is the q'th term of 823, 3286, 7391, 13138, 20527, 29558, 40231?
821*q**2 + 2
What is the w'th term of -24, -34, -60, -108, -184, -294?
-w**3 - 2*w**2 + 3*w - 24
What is the s'th term of -292, -293, -296, -301, -308, -317?
-s**2 + 2*s - 293
What is the o'th term of 188, 181, 162, 125, 64, -27?
-o**3 + 189
What is the i'th term of -3143, -3152, -3161, -3170?
-9*i - 3134
What is the s'th term of -12, -17, -32, -63, -116, -197?
-s**3 + s**2 - s - 11
What is the h'th term of 64, 284, 650, 1162, 1820?
73*h**2 + h - 10
What is the a'th term of -40, -46, -56, -70?
-2*a**2 - 38
What is the n'th term of -10, -41, -112, -241, -446?
-3*n**3 - 2*n**2 - 4*n - 1
What is the a'th term of 31, 28, 21, 10?
-2*a**2 + 3*a + 30
What is the v'th term of -15, -48, -109, -204, -339, -520, -753, -1044?
-v**3 - 8*v**2 - 2*v - 4
What is the n'th term of -66, -61, -56, -51, -46, -41?
5*n - 71
What is the t'th term of 290, 288, 286?
-2*t + 292
What is the p'th term of 1294, 2580, 3844, 5074, 6258, 7384?
-2*p**3 + p**2 + 1297*p - 2
What is the f'th term of -13, 14, 31, 32, 11, -38, -121, -244?
-f**3 + f**2 + 31*f - 44
What is the x'th term of 115, 194, 273?
79*x + 36
What is the w'th term of -42, -82, -122, -162, -202, -242?
-40*w - 2
What is the q'th term of 286, 281, 276, 271?
-5*q + 291
What is the q'th term of 936, 952, 970, 984, 988, 976, 942?
-q**3 + 7*q**2 + 2*q + 928
What is the o'th term of -6, -7, 2, 27, 74, 149?
o**3 - o**2 - 5*o - 1
What is the z'th term of -1073, -2151, -3231, -4313, -5397, -6483?
-z**2 - 1075*z + 3
What is the a'th term of 23, 30, 39, 50?
a**2 + 4*a + 18
What is the l'th term of -5377, -5379, -5383, -5389, -5397, -5407, -5419?
-l**2 + l - 5377
What is the s'th term of -9, -37, -65?
-28*s + 19
What is the i'th term of -13, -1, 31, 83, 155?
10*i**2 - 18*i - 5
What is the g'th term of 355, 352, 347, 340, 331?
-g**2 + 356
What is the b'th term of 90, 177, 262, 345, 426?
-b**2 + 90*b + 1
What is the u'th term of 21, 70, 151, 264?
16*u**2 + u + 4
What is the b'th term of 217, 212, 207, 202, 197?
-5*b + 222
What is the q'th term of -1237, -1236, -1235?
q - 1238
What is the i'th term of 7568, 7570, 7572, 7574?
2*i + 7566
What is the y'th term of -19, -43, -57, -55, -31, 21, 107, 233?
y**3 - y**2 - 28*y + 9
What is the v'th term of 468, 924, 1380, 1836, 2292, 2748?
456*v + 12
What is the o'th term of 530, 556, 582, 608?
26*o + 504
What is the i'th term of 19, 45, 71, 97, 123, 149?
26*i - 7
What is the k'th term of 4487, 4486, 4485, 4484, 4483, 4482?
-k + 4488
What is the x'th term of 670, 672, 674?
2*x + 668
What is the l'th term of -86, -100, -138, -212, -334, -516, -770, -1108?
-2*l**3 - 84
What is the q'th term of 24, 43, 64, 81, 88?
-q**3 + 7*q**2 + 5*q + 13
What is the t'th term of 35633, 35634, 35635?
t + 35632
What is the b'th term of -47, -99, -151, -203, -255?
-52*b + 5
What is the x'th term of -232, -233, -234, -235?
-x - 231
What is the j'th term of -63, -132, -203, -276?
-j**2 - 66*j + 4
What is the s'th term of -1244, -1242, -1238, -1232, -1224?
s**2 - s - 1244
What is the s'th term of -2, -18, -40, -62, -78, -82, -68?
s**3 - 9*s**2 + 4*s + 2
What is the m'th term of -69, -117, -163, -207?
m**2 - 51*m - 19
What is the l'th term of -521, -520, -511, -488, -445, -376, -275?
l**3 - 2*l**2 - 520
What is the l'th term of -2104, -2102, -2100, -2098, -2096?
2*l - 2106
What is the o'th term of 1486, 5912, 13288, 23614, 36890, 53116, 72292?
1475*o**2 + o + 10
What is the v'th term of 199, 205, 221, 253, 307, 389, 505, 661?
v**3 - v**2 + 2*v + 197
What is the c'th term of -1841, -3683, -5525, -7367, -9209, -11051?
-1842*c + 1
What is the q'th term of -14, -12, -8, -2, 6, 16, 28?
q**2 - q - 14
What is the h'th term of 198, 212, 226, 240, 254, 268?
14*h + 184
What is the i'th term of 26, 124, 386, 896, 1738, 2996?
14*i**3 - 2*i**2 + 6*i + 8
What is the b'th term of 17, 12, 19, 44, 93, 172, 287?
b**3 - 12*b + 28
What is the p'th term of 9, 6, 3, 0, -3?
-3*p + 12
What is the h'th term of | {
"pile_set_name": "DM Mathematics"
} |
88510 is divided by 1772.
1682
What is the remainder when 2008 is divided by 339?
313
Calculate the remainder when 72094 is divided by 346.
126
What is the remainder when 6409 is divided by 278?
15
Calculate the remainder when 540267 is divided by 405.
402
What is the remainder when 3903 is divided by 292?
107
What is the remainder when 28772997 is divided by 1000?
997
Calculate the remainder when 13867 is divided by 7.
0
What is the remainder when 159063 is divided by 3180?
63
What is the remainder when 359 is divided by 66?
29
What is the remainder when 44381 is divided by 78?
77
Calculate the remainder when 22410 is divided by 265.
150
What is the remainder when 4956 is divided by 513?
339
Calculate the remainder when 315432 is divided by 751.
12
What is the remainder when 92159 is divided by 120?
119
What is the remainder when 247942 is divided by 95?
87
Calculate the remainder when 10179 is divided by 767.
208
Calculate the remainder when 3003 is divided by 1495.
13
Calculate the remainder when 5679 is divided by 194.
53
What is the remainder when 1111 is divided by 93?
88
What is the remainder when 2279 is divided by 568?
7
Calculate the remainder when 202854 is divided by 10.
4
What is the remainder when 376194 is divided by 79?
75
Calculate the remainder when 72614 is divided by 1770.
44
What is the remainder when 1209455 is divided by 888?
887
Calculate the remainder when 40059 is divided by 413.
411
Calculate the remainder when 28971 is divided by 964.
51
What is the remainder when 3461 is divided by 68?
61
What is the remainder when 96040 is divided by 15?
10
What is the remainder when 5058 is divided by 52?
14
What is the remainder when 3400 is divided by 84?
40
Calculate the remainder when 7969 is divided by 129.
100
Calculate the remainder when 3503 is divided by 318.
5
Calculate the remainder when 992156 is divided by 32.
28
What is the remainder when 1733 is divided by 552?
77
What is the remainder when 1280 is divided by 408?
56
Calculate the remainder when 338 is divided by 103.
29
Calculate the remainder when 352406 is divided by 248.
246
Calculate the remainder when 1595 is divided by 618.
359
What is the remainder when 1662 is divided by 1565?
97
Calculate the remainder when 13471 is divided by 7.
3
Calculate the remainder when 4210 is divided by 105.
10
What is the remainder when 5237 is divided by 220?
177
Calculate the remainder when 224587 is divided by 31.
23
What is the remainder when 4009 is divided by 335?
324
Calculate the remainder when 1240 is divided by 79.
55
What is the remainder when 12479 is divided by 1039?
11
What is the remainder when 180477 is divided by 376?
373
What is the remainder when 2729 is divided by 97?
13
What is the remainder when 3699 is divided by 3585?
114
Calculate the remainder when 17559 is divided by 501.
24
What is the remainder when 19533 is divided by 9687?
159
Calculate the remainder when 5062458 is divided by 20.
18
Calculate the remainder when 2055 is divided by 21.
18
What is the remainder when 160170 is divided by 119?
115
Calculate the remainder when 80710 is divided by 40.
30
Calculate the remainder when 27256 is divided by 58.
54
Calculate the remainder when 1273 is divided by 232.
113
Calculate the remainder when 60580 is divided by 166.
156
What is the remainder when 116574 is divided by 348?
342
Calculate the remainder when 676234 is divided by 338113.
8
Calculate the remainder when 2196975 is divided by 61.
60
What is the remainder when 253386 is divided by 84459?
9
Calculate the remainder when 5702 is divided by 1799.
305
What is the remainder when 4958528 is divided by 1652842?
2
What is the remainder when 5689 is divided by 70?
19
Calculate the remainder when 68151 is divided by 68088.
63
Calculate the remainder when 10289 is divided by 5.
4
Calculate the remainder when 9195 is divided by 4.
3
Calculate the remainder when 1905 is divided by 1293.
612
Calculate the remainder when 2432 is divided by 600.
32
What is the remainder when 133461 is divided by 161?
153
What is the remainder when 4944 is divided by 99?
93
What is the remainder when 1389 is divided by 6?
3
Calculate the remainder when 738 is divided by 382.
356
Calculate the remainder when 5226 is divided by 146.
116
What is the remainder when 1936 is divided by 490?
466
What is the remainder when 12939 is divided by 121?
113
What is the remainder when 169376 is divided by 60?
56
Calculate the remainder when 220338 is divided by 1191.
3
Calculate the remainder when 203791 is divided by 589.
586
Calculate the remainder when 161226 is divided by 241.
238
Calculate the remainder when 635 is divided by 252.
131
Calculate the remainder when 2118 is divided by 704.
6
What is the remainder when 3774 is divided by 1836?
102
Calculate the remainder when 122267 is divided by 24447.
32
Calculate the remainder when 38718 is divided by 9669.
42
What is the remainder when 68249 is divided by 72?
65
Calculate the remainder when 7397 is divided by 68.
53
Calculate the remainder when 337259 is divided by 2248.
59
Calculate the remainder when 87891 is divided by 53.
17
Calculate the remainder when 7152 is divided by 56.
40
What is the remainder when 6011 is divided by 352?
27
What is the remainder when 131160 is divided by 3974?
18
What is the remainder when 318658 is divided by 45?
13
What is the remainder when 654 is divided by 214?
12
What is the remainder when 22201 is divided by 493?
16
What is the remainder when 24846 is divided by 828?
6
Calculate the remainder when 16800 is divided by 290.
270
What is the remainder when 4355 is divided by 522?
179
Calculate the remainder when 6524 is divided by 6386.
138
Calculate the remainder when 78789 is divided by 588.
585
Calculate the remainder when 960782 is divided by 22.
20
Calculate the remainder when 56639 is divided by 180.
119
What is the remainder when 23981 is divided by 11980?
21
Calculate the remainder when 5309 is divided by 331.
13
Calculate the remainder when 1869762 is divided by 41.
39
What is the remainder when 1062601 is divided by 4765?
6
Calculate the remainder when 804 is divided by 137.
119
What is the remainder when 29622 is divided by 29590?
32
Calculate the remainder when 9035 is divided by 705.
575
Calculate the remainder when 1408 is divided by 19.
2
Calculate the remainder when 146895 is divided by 9.
6
Calculate the remainder when 487 is divided by 215.
57
What is the remainder when 17748 is divided by 40?
28
What is the remainder when 47761 is divided by 11937?
13
What is the remainder when 148353 is divided by 1279?
1268
What is the remainder when 7521 is divided by 175?
171
Calculate the remainder when 6557 is divided by 2173.
38
Calculate the remainder when 40297 is divided by 1087.
78
What is the remainder when 73510 is divided by 327?
262
Calculate the remainder when 69412 is divided by 12.
4
What is the remainder when 1993 is divided by 637?
82
What is the remainder when 14087 is divided by 6?
5
Calculate the remainder when 5241 is divided by 1026.
111
Calculate the remainder when 9445 is divided by 103.
72
Calculate the remainder when 30494 is divided by 2063.
1612
Calculate the remainder when 181897 is divided by 761.
18
What is the remainder when 99552 is divided by 26?
24
What is the remainder when 524139 is divided by 5?
4
Calculate the remainder when 14929 is divided by 648.
25
Calculate the remainder when 100051 is divided by 488.
11
Calculate the remainder when 341208 is divided by 17.
1
What is the remainder when 35045 is divided by 366?
275
Calculate the remainder when 81380 is divided by 5.
0
What is the remainder when 142789 is divided by 438?
1
What is the remainder when 6318 is divided by 3154?
10
What is the remainder when 123531 is divided by 355?
346
Calculate the remainder when 9389 is divided by 4568.
253
What is the remainder when 27042 is divided by 15?
12
Calculate the remainder when 9778 is divided by 813.
22
Calculate the remainder when 30879 is divided by 10291.
6
What is the remainder when 5691 is divided by 234?
75
Calculate the remainder when 2213 is divided by 170.
3
Calculate the remainder when 52751 is divided by 42.
41
What is the remainder when 113821 is divided by 346?
333
Calculate the remainder when 8004 | {
"pile_set_name": "DM Mathematics"
} |
00040124752 rounded to seven decimal places?
0.0000401
What is 0.0000009762807 rounded to seven decimal places?
0.000001
Round -4.450351 to the nearest integer.
-4
Round 0.0639708 to 4 dps.
0.064
Round -0.022312 to three dps.
-0.022
Round 62026683 to the nearest one million.
62000000
What is 181872.99 rounded to the nearest ten thousand?
180000
Round 174299.7 to the nearest 10000.
170000
What is -7894.2 rounded to the nearest 10?
-7890
What is -186.975 rounded to zero dps?
-187
Round -1587110 to the nearest 10000.
-1590000
What is 43626.26 rounded to the nearest one thousand?
44000
What is -0.0024614783 rounded to six decimal places?
-0.002461
Round -6.94586 to the nearest integer.
-7
What is -0.00020503593 rounded to seven decimal places?
-0.000205
What is -82.4482 rounded to the nearest ten?
-80
What is -0.00635331 rounded to five decimal places?
-0.00635
What is -0.0000019253619 rounded to seven decimal places?
-0.0000019
Round 8568.32 to the nearest 100.
8600
What is 0.000005319419 rounded to 7 dps?
0.0000053
What is 0.00021178612 rounded to 6 dps?
0.000212
What is 4.82703 rounded to one decimal place?
4.8
Round -0.0000020376449 to six decimal places.
-0.000002
What is 0.4132743 rounded to 2 decimal places?
0.41
Round -1177308.2 to the nearest one hundred thousand.
-1200000
Round 958.91 to the nearest 10.
960
Round 0.004826644 to 3 decimal places.
0.005
Round 53230789 to the nearest ten thousand.
53230000
Round 0.00049905 to seven decimal places.
0.0004991
What is -31.42619 rounded to the nearest integer?
-31
Round 0.451955 to 3 dps.
0.452
Round 89415.4 to the nearest ten thousand.
90000
What is -142.7636 rounded to 1 dp?
-142.8
Round 0.015486905 to 4 decimal places.
0.0155
What is 0.00738609 rounded to four dps?
0.0074
What is 0.000122306 rounded to 7 dps?
0.0001223
What is -287.085 rounded to the nearest integer?
-287
Round -44.81789 to the nearest 10.
-40
What is -27.655 rounded to one decimal place?
-27.7
What is -54.4439 rounded to zero dps?
-54
What is 0.78904377 rounded to two dps?
0.79
What is 0.0147599 rounded to 5 decimal places?
0.01476
What is 65418270 rounded to the nearest one million?
65000000
What is 24.9905 rounded to the nearest ten?
20
Round -0.00000263359 to 6 decimal places.
-0.000003
Round 0.00000018329079 to 7 decimal places.
0.0000002
What is 3302.99 rounded to the nearest 10?
3300
Round -0.0000072442686 to seven dps.
-0.0000072
What is 183609800 rounded to the nearest one hundred thousand?
183600000
What is 40866.2 rounded to the nearest one hundred?
40900
What is -19093.7 rounded to the nearest one thousand?
-19000
Round -0.0341552 to 3 dps.
-0.034
Round 39164400 to the nearest 100000.
39200000
Round -48.97535 to one dp.
-49
What is -0.0244039 rounded to 3 decimal places?
-0.024
What is -115520200 rounded to the nearest one million?
-116000000
What is -194982.9 rounded to the nearest 1000?
-195000
What is -16.259518 rounded to 1 dp?
-16.3
What is -8214620 rounded to the nearest 100000?
-8200000
What is 0.003208127 rounded to five dps?
0.00321
Round -49.778338 to 2 dps.
-49.78
What is -232183 rounded to the nearest 100000?
-200000
Round -0.0013526925 to five decimal places.
-0.00135
What is 1868.851 rounded to the nearest 100?
1900
Round 1.927666 to two dps.
1.93
Round -0.000047093577 to 5 dps.
-0.00005
Round 55019900 to the nearest 1000000.
55000000
What is 0.00832945 rounded to five dps?
0.00833
What is -0.001008541 rounded to four dps?
-0.001
What is -0.0000698618 rounded to six decimal places?
-0.00007
What is -10784427 rounded to the nearest 100000?
-10800000
Round -0.000015481873 to 7 decimal places.
-0.0000155
Round -6451.578 to the nearest ten.
-6450
Round -1070281.2 to the nearest one thousand.
-1070000
What is 0.06865895 rounded to 2 decimal places?
0.07
Round 0.00012597881 to 6 decimal places.
0.000126
What is -0.11345784 rounded to four dps?
-0.1135
Round 0.0702909 to four dps.
0.0703
Round 34658 to the nearest 10000.
30000
What is -0.0008798651 rounded to 4 dps?
-0.0009
What is -0.0002013537 rounded to 7 dps?
-0.0002014
What is -550755600 rounded to the nearest 100000?
-550800000
What is 0.00000950329 rounded to six dps?
0.00001
Round -85470 to the nearest ten thousand.
-90000
Round -0.2734749 to three decimal places.
-0.273
What is 9665.761 rounded to the nearest 1000?
10000
Round 0.000781609 to 5 decimal places.
0.00078
Round -0.000328314 to four decimal places.
-0.0003
What is 0.00011963058 rounded to 5 dps?
0.00012
Round 862.76 to the nearest ten.
860
What is 4.79458 rounded to 2 decimal places?
4.79
What is -202910 rounded to the nearest 100000?
-200000
What is -0.0155133 rounded to 4 decimal places?
-0.0155
What is -0.0006343894 rounded to five dps?
-0.00063
What is 39104450 rounded to the nearest 1000000?
39000000
Round -0.000000904853 to 7 decimal places.
-0.0000009
Round -4062.581 to the nearest 10.
-4060
What is -1790380 rounded to the nearest ten thousand?
-1790000
What is 31492.54 rounded to the nearest one thousand?
31000
What is -3619.48 rounded to the nearest 1000?
-4000
What is -0.646479 rounded to three dps?
-0.646
What is -1493.39 rounded to the nearest 100?
-1500
What is -0.0979892 rounded to two decimal places?
-0.1
What is 0.0351077 rounded to two decimal places?
0.04
Round 0.000000386586 to seven dps.
0.0000004
Round 0.0596767 to two decimal places.
0.06
What is -215.7373 rounded to the nearest 100?
-200
Round 1784.247 to the nearest 100.
1800
What is 0.08001419 rounded to five decimal places?
0.08001
Round 36.4974 to 1 dp.
36.5
Round -10647628000 to the nearest one million.
-10648000000
Round -9692.5 to the nearest 100.
-9700
Round -0.012673423 to six dps.
-0.012673
What is -22007.095 rounded to the nearest one hundred?
-22000
What is -2922.901 rounded to the nearest ten?
-2920
Round -0.00006300341 to six dps.
-0.000063
Round 0.447759 to 1 dp.
0.4
Round 0.00010521191 to 6 decimal places.
0.000105
Round -0.0017049682 to 6 decimal places.
-0.001705
What is 15800.5 rounded to the nearest 1000?
16000
Round -0.0036881 to 3 dps.
-0.004
What is -4.893448 rounded to the nearest integer?
-5
What is -0.46677 rounded to two dps?
-0.47
Round 36.1559 to the nearest 10.
40
Round 0.0000041604911 to 7 decimal places.
0.0000042
What is 597394.5 rounded to the nearest one hundred thousand?
600000
What is 0.5036001 rounded to four decimal places?
0.5036
What is -0.000052305 rounded to five dps?
-0.00005
What is -0.00000058533 rounded to seven dps?
-0.0000006
Round -22.8264 to 0 dps.
-23
Round -0.0341936 to four dps.
-0.0342
Round 59107.21 to the nearest ten.
59110
What is -0.00159725 rounded to 5 decimal places?
-0.0016
What is -0.00009354731 rounded to 5 decimal places?
-0.00009
Round 142613.94 to the nearest one hundred.
142600
Round -17.81503 to 1 decimal place.
-17.8
Round 7.409972 to 3 decimal places.
7.41
Round 0.00190549 to 5 decimal places.
0.00191
Round -0.00000178711 to 7 decimal places.
-0.0000018
What is 0.0007555493 rounded to 4 dps?
0.0008
Round -11614.7999 to the nearest integer.
-11615
Round 0.90918 to 3 dps.
0.909
What is -11.965117 rounded to one dp?
-12
Round -0.09305932 to four dps.
-0.0931
What is -0.3576693 rounded to four dps?
-0.3577
What is 50672 rounded to the nearest one hundred thousand?
100000
Round -333089 to the nearest one thousand.
-333000
Round -22.3727 to two dps.
-22.37
Round -25149720 to the nearest 1000000.
-25000000
Round 89.0679 to one dp.
89.1
What is 0.047083 rounded to three dps?
0.047
What is -0.953304 rounded to three dps?
-0.953
What is -436131 rounded to the nearest one thousand?
-436000
Round -4.5764 to 0 dps.
-5
What is 0.0255129 rounded to 3 dps?
0.026
Round -20.31796 to one dp.
-20.3
What is -841.62 rounded to the nearest one hundred?
-800
What is 0.00670081 rounded to 4 decimal places?
0.0067
What is -0.7238793 rounded to three decimal places?
-0.724
What is -0.01052381 rounded to 5 decimal places?
-0.01052
What is 0.0000271396 rounded to 6 decimal places?
0.000027
What is 0.249691 rounded to two decimal places?
0.25
What is 0.004282941 rounded to three decimal places?
0.004
What is 0.00005488809 rounded to 7 decimal places?
0.0000549
What is -99886.5 rounded to the nearest ten thousand?
-100000
What is 0.00008908254 rounded to seven decimal | {
"pile_set_name": "DM Mathematics"
} |
, 3, m
Let m(q) = 5*q**3 - q**2. Let r be m(1). Put r, -2, 5 in decreasing order.
5, r, -2
Let m = 26 - 183/7. Put -3, 4, m in descending order.
4, m, -3
Let j = 0.2 - 0.3. Sort j, -3/5, -0.3 in descending order.
j, -0.3, -3/5
Let f be 10*(-2)/(-10)*2. Let t = 3 + -5. Put t, f, 3 in decreasing order.
f, 3, t
Let f = 20.5 + 4.5. Let s = -21 + f. Let o be (-2)/(-24) + (-4)/(-6). Put o, s, 1/4 in ascending order.
1/4, o, s
Let h = -5 + 5.3. Let t be 1/3 + 33/9. Put t, 3/2, h in ascending order.
h, 3/2, t
Let r be 2/24*24/27. Let q = 0.17 + 0.83. Sort r, -5, q in decreasing order.
q, r, -5
Let a be (-9)/(-6)*32/12. Suppose -a*f + 19 = 15. Put f, 8, 0 in increasing order.
0, f, 8
Let s = 171/55 - 21/11. Sort -0.5, s, -1/3 in ascending order.
-0.5, -1/3, s
Let o be 27/((-5)/(-3) + (-3)/18). Put -0.4, o, -1 in increasing order.
-1, -0.4, o
Let r(h) = -2*h**2 - 2*h + 12. Let z be r(-4). Sort 5, -5, -2, z.
z, -5, -2, 5
Let y = -19.7 - -20. Put -5, y, -6, -0.1 in decreasing order.
y, -0.1, -5, -6
Let f = -26 + 30. Sort f, 3, -8 in descending order.
f, 3, -8
Let b(t) = t**3 + 4*t**2 + 4*t + 4. Let x be b(-3). Suppose -4*k + 7 = 23. Let a = k + 7. Sort x, a, -2 in increasing order.
-2, x, a
Let b(i) = i - 5. Let w be b(7). Put w, 3, -5, -1 in increasing order.
-5, -1, w, 3
Let m(q) = q**3 - 8*q**2 + 6*q + 14. Let j be m(7). Sort -3/5, j, 4.
-3/5, 4, j
Let j = -1 + 1. Let g = -465/4 - -117. Let o = 0.5 + -0.3. Sort j, o, g.
j, o, g
Suppose 4*s + 3*z + 15 = 3*s, 2*z = -2. Let y be (-8)/(-3)*(-18)/s. Suppose 2 - y = 2*p. Sort p, 1, 4.
p, 1, 4
Suppose 0 = -p + y - 2, -11 = 2*p + p - 4*y. Let g(w) = -2*w - 1. Let u be g(p). Let l = u + 22/3. Put l, 2/3, 3 in increasing order.
l, 2/3, 3
Suppose -5*t = h - 3*h + 8, 3*t = -h + 4. Let b = -12.1 - -12. Put b, t, -1 in increasing order.
-1, b, t
Let x = -89/6 - -1145/78. Suppose 0 = b - 2*b + 5. Suppose -2*u = -2*z + 6, -b*u - 5*z = -z + 24. Sort u, 3/8, x.
u, x, 3/8
Let r be ((-24)/20)/3 - 0. Sort 3, 6, r, -2/3 in descending order.
6, 3, r, -2/3
Let h = -41 - -21. Let w = h - -20.5. Let k = 4 + -2. Sort -0.4, w, k.
-0.4, w, k
Suppose -26 = -a - 21. Sort -0.5, a, -4 in increasing order.
-4, -0.5, a
Let c = -0.1 - -0.04. Let a = c - 0.24. Sort 4, a, 2.
a, 2, 4
Let u(d) = -d - 11. Let p be u(-11). Suppose -2 = -p*o - 2*o. Sort -1, -5, o in descending order.
o, -1, -5
Let u = 2.4 - 1.4. Let g = -1.1 + u. Put g, -0.2, 6 in descending order.
6, g, -0.2
Let p(l) = l**3 + 8*l**2 - 8*l + 13. Let a be p(-9). Sort 0.5, -1/5, a in decreasing order.
a, 0.5, -1/5
Let s(m) = m + 5. Let y be s(-8). Suppose 2*n = -n + 24. Suppose n = -5*x - 2. Sort x, y, 2.
y, x, 2
Suppose -2*h + 7 + 21 = 0. Sort -1, 2, h.
-1, 2, h
Let n be (-104)/(-16) + 6/(-4). Put -1, n, 0 in decreasing order.
n, 0, -1
Let m = -0.15 - -0.25. Sort m, 0, -1/3 in decreasing order.
m, 0, -1/3
Let t = 42.9 + -43. Sort 4/3, 0.4, t in descending order.
4/3, 0.4, t
Suppose -4*y = 11 + 45. Let r be (-2)/(-7) - 24/y. Let t(z) = -z**3 + 6*z**2. Let g be t(6). Put 1, g, r in decreasing order.
r, 1, g
Suppose -3*n + 15 - 6 = 0. Suppose -n*x + 0 - 3 = 0. Sort -0.2, x, 2/7 in decreasing order.
2/7, -0.2, x
Let i = 0.35 + -0.05. Let m = 3 + -3.6. Let u = -1 - m. Sort u, i, -2 in descending order.
i, u, -2
Let k = -2 + 2.1. Let w = 6 - 9. Put w, 4, k in decreasing order.
4, k, w
Let j = -1 - 2.8. Let p = j - -4. Let q = -0.2 - p. Sort 2/13, q, -5 in increasing order.
-5, q, 2/13
Let x(f) = f**3 + 7*f**2 + 7*f + 4. Let r be x(-6). Let i be (r - -1) + 18/(-6). Let a = -1 - -4. Sort i, -5, a in decreasing order.
a, i, -5
Let v = 193 - 194. Suppose -2*o = s + 4 + 7, 4*o + 16 = 0. Sort 1, s, v in decreasing order.
1, v, s
Suppose s - 3*z = 8, -6 = s + 4*z - 0. Let k(y) = y**3 - 7*y**2 + 3*y - 23. Let x be k(7). Put s, x, 5 in decreasing order.
5, s, x
Let r be (9/18)/(2/(-6)). Put 11, 1, r in ascending order.
r, 1, 11
Let m = -61 + 56. Sort 0.4, m, 1/5, 5 in descending order.
5, 0.4, 1/5, m
Let d = -6 + 4. Suppose 3*t - 5*q = -37, -3*t + 2*q - 27 = -q. Put t, -1, d in ascending order.
t, d, -1
Suppose -5*d - 2*m = -13, d + 2 = -m - 4*m. Let a(s) = s**3 + 4*s**2 + 4*s + 2. Let q be a(-2). Sort d, q, -4 in descending order.
d, q, -4
Let w = -1 - -1.1. Sort 0.2, -5, w in ascending order.
-5, w, 0.2
Let w = -2 + 1.6. Let d = w - -4.4. Let l = 5 + -5.1. Sort d, 0.4, l in descending order.
d, 0.4, l
Let y be (-22)/(-35) + (-8)/40. Let z(x) = 2*x + 3. Let t be z(-3). Sort 1, t, y.
t, y, 1
Let a = -0.5 - 1.5. Let w be (-48)/70 + (-2)/(-7). Sort w, a, 2 in increasing order.
a, w, 2
Let c(q) = -q**2 - 7*q + 10. Let w be c(-8). Sort 4, -3, w in ascending order.
-3, w, 4
Let p = 2 + -8. Let x = p - -4. Let t be -1 + 8 - (0 - x). Put -1, t, 1 in ascending order.
-1, 1, t
Let g = -1.4 - -2.5. Let i = g + 1.9. Sort i, 1/9, -0.3.
-0.3, 1/9, i
Suppose 0 = w + 2 - 3. Let x(d) = -2*d**2 + d. Suppose 5*r - 2*l = -0*r - 9, 0 = 3*r - 5*l + 13. Let y be x(r). Sort w, y, -1 in descending order.
w, -1, y
Let d = -139/12 - -45/4. Sort 0.1, d, -3, -4.
-4, -3, d, 0.1
Let c(y) = 2*y - 6. Let w be c(4). Suppose 3*p = -q - q + 9, 4*q = -p + 13. Suppose s = -6 + q. Sort s, -4, w in descending order.
w, s, -4
Suppose -2*m - 16 = -26. Sort m, -4, -6.
-6, -4, m
Let n = 30.041 + -0.041. Let f = n - 27.2. Let y = 0.8 - f. Put y, 2, 1/2 in descending order.
2, 1/2, y
Let g = 0.07 - 0.37. Let l = 0.06 - -1.94. Put -1/2, l, g in descending order.
l, g, -1/2
Let x = -9 + 15. Let m = -7 + x. Let h = -3 - 0. Put -5, m, h in ascending order.
-5, h, m
Let h = 0.06 - -0.02. Let q = -0.38 + h. Sort q, 4, 3/5 in increasing order.
q, 3/5, 4
Let s be (3 + 18)*(-2)/6. Let u be (2 - s)/(-3) + 7. Sort u, 1, -2 in descending order.
u, 1, -2
Let h(l) = 3*l + 4. Let q be h(-3). Let k(t) = t**2 + 4*t - 5. Let p be k(-5). Put q, 3, p in decreasing order.
3, p, q
Suppose 15*i = 7*i - 64. Put -2, -5, i in ascending order.
i, -5, -2
Let v = 0.3 - 0.39. Let u = v + 0.09. Sort 4, 0.1, u in ascending order.
u, 0.1, 4
Suppose -5*k + 22 = -2*y, 3*y - 17 = -4*k - 4. Sort -1, 10, k.
-1, k, 10
Suppose -5*t - 2*i - 14 - 7 = 0, -5*t = i + 23. Sort t, 0, 5 in decreasing order.
5, 0, t
Let k = -29.44 + 29. Let u = k - -0.04. Let q be (1 + 1)*(-3)/8. Put 2/9, q, u in increasing order.
q, u, 2/9
Let q(s) = 5*s + 6. Let k be q(-3). Let y be 4*(k/(-4) - 1). Put 2, 1, y in descending order.
y, 2, 1
Let n be 3/(-2)*6 - 2. Let m = n + 6. Sort -2, m, 17.
m, -2, 17
Let c be (34/(-85))/((-2)/20). Put c, 12, 0.4 in ascending order.
0.4, c, 12
Suppose -9 = b + 11. Let h = -8 - b. Let i be h/(-42) + 102/14. Sort 0, 3, i in decreasing order.
i, 3, 0
Let i(s) = 2*s**2 + 7*s. Let q be i(-5). Let r = -10 + q. Let u(k) = k**3 + 4. Let b be u(0). Sort -3, r, b in increasing order.
-3, b, r
Let s = 0.28 + -0.08. Let h = 1 + -1. Let u = s + h. Put u, -0.5, 1 in ascending order.
-0.5, u, 1
Suppose 25*p = 20*p - 20. Suppose u + 2 + 3 = 0. Put p, u, -2 in descending order.
-2, p, u
Let l be 6 + -6 - (-2)/(-8). Put -0.4, l, 4 in ascending order.
-0.4, l, 4
Let t = -194 + 2912/15. Sort t, 0.1, -0.2.
-0.2, 0.1, t
Suppose -8 = 4*u - 4. Put 5, u, 4 in decreasing order.
5, 4, u
Let y be (0 - (-4)/2) + -1. Suppose n + 2*n = c + 6, 0 = -5*c. Suppose -3*p + 20 = n*p. Sort -1, p, y.
-1, y, p
Let w be (2*12/40)/((-1)/(-1)). Let j = -0.086 - -2.136. Let a = -0.05 + j. Sort -1/2, a, w in descending order.
a, w, -1/2
Let d = -1.01 - -1. Let j = d + -4.99. Let w be 14/(-6) + (-2)/(-6). Put 0, w, j in descending order.
0, w, j
Let q be 6/(-2 - 12/(-4)). Suppose 0 = -5*u + q*u. Sort -0.2, u, 3 in decreasing order.
3, u, -0.2
Let d = -0.501 - 21.399. Let u = d - -22. Put -3/5, -5, u in decreasing order.
u, -3/5, -5
Let z(m) = m**3 - 6*m**2 + 7*m - 5. Let f be z(5). Suppose -l - 26 + 2 = 5*b, -20 = l + 4*b. Put l, 3, f in ascending order.
l, 3, f
Let w be -1 - (72/42)/(4/14). Let p = 0.11 + -4.11. Sort w, -1/5, p.
w, p, -1/5
Let f = -0.5 + 1. Suppose 2*b - 4*b + 6 = -4*n, -12 = -4*b - 4*n. Let r = b + -8. Sort -3, f, r.
r, -3, f
Let x(o) = o**2 + 2*o + 3. Let h be x(-2). Sort 0, -4/5, h in decreasing order.
h, 0, -4/5
Let l = -0.4 + 0.4. Let n = -5 + l. Sort -3/2, n, 1/6 in decreasing order.
1/6, -3/2, n
Let c = 119/18 + -85/9. Let u = c + 4/3. Let g = 0.01 + 0.09. Sort g, 1, u.
u, g, 1
Suppo | {
"pile_set_name": "DM Mathematics"
} |
8*u**2 + 9*u + 2. Let v be -3*(4 + 4) - 0. What is the remainder when (-4)/v + 138/36 is divided by l(9)?
0
Let w be (-24)/7*112/(-24). Calculate the remainder when 25 is divided by (42/12 + -3)*w.
1
Let m(g) = -2*g**2 - 23*g - 3. Let s be m(-11). Calculate the remainder when (0 + 4)*(s + -2) is divided by 14.
10
Let f = 780 - 639. What is the remainder when f is divided by 15?
6
Let i(p) = 24*p**2 + 4*p + 4. Calculate the remainder when 104 is divided by i(-1).
8
Let r = -85 + 357. What is the remainder when r is divided by 39?
38
Suppose 4*l - 996 = -44. Suppose 0 = -2*z, -2*i - z + l = -0*z. Calculate the remainder when i is divided by 24.
23
Suppose 2*h - 1 = 3*h - 2*f, 4*f = -3*h + 47. Let x(g) = -g + 33. Calculate the remainder when x(11) is divided by h.
4
Let u be 1*24/(0 + -3). Let d = u + 32. Let m = -13 + 26. Calculate the remainder when d is divided by m.
11
Let i = -13 + 30. Let c(y) = y**2 - y - 55. Let n be c(0). Let x = n - -88. What is the remainder when x is divided by i?
16
Suppose -84 = 58*k - 61*k. What is the remainder when 110 is divided by k?
26
Let u be -104 + -14 + 6 + 6. Let x(w) = -69*w**3 + w**2 - w. Let f be x(1). Let m = f - u. What is the remainder when m is divided by 13?
11
Let i = 27 - 27. Suppose 12*s - 13*s + 10 = i. What is the remainder when 59 is divided by s?
9
Let r(x) = 2*x - 1. Suppose -z - 1 = -b + 3, 4*z + 3*b + 9 = 0. Let c be r(z). Let g = 16 + c. Calculate the remainder when 25 is divided by g.
7
Let g(z) = z**2 - z. Let a be g(-1). Suppose a*h - 116 = -0*h. Suppose -2*u + 3*u - h = 0. What is the remainder when u is divided by 15?
13
Suppose -22*a + 90 + 372 = 0. Calculate the remainder when 117 is divided by a.
12
Suppose -3*p + 81 = 5*a + 17, 5*a = -4*p + 82. Suppose -3*o = -p + 3. Let j(u) = -2*u**2 - 27*u + 63. Calculate the remainder when j(-15) is divided by o.
3
Let g(l) = 13*l**2 + 15*l + 1. Let r(y) = -y**3 - 1. Let s(q) = g(q) + r(q). Calculate the remainder when 27 is divided by s(14).
13
Suppose 4*j - j = -5*a + 29, 2*a - j - 16 = 0. Suppose 2 = u - a. Calculate the remainder when (-4)/(-18) - 232/(-9) is divided by u.
8
Calculate the remainder when (-32)/3*(-57)/2 is divided by 48.
16
Let n = -524 + 568. Calculate the remainder when 303 is divided by n.
39
Suppose 0 = z + 433 - 1295. Calculate the remainder when z is divided by 36.
34
Let t(r) = -r**2 + 0*r**2 + 2*r**2 - 2*r**2 + 36. Suppose 5*k + 15 = -q - 0, 2*q = -5*k - 15. Calculate the remainder when t(q) is divided by 13.
10
Let c(u) = -2*u + 11. Let y be c(-4). Let t = y - 13. Suppose -4*o = 5*g - 104, -g = -o - 22 - t. Calculate the remainder when 45 is divided by g.
21
Let d(i) = -i**3 + 6*i**2 - 4*i - 4. What is the remainder when d(-6) is divided by 13?
10
Suppose z = 2*z + j - 29, 0 = 5*z + j - 137. Let b = 62 - z. Calculate the remainder when b is divided by 6.
5
Let h = -8 + 13. Suppose 26 = 3*c - 0*x - h*x, -x - 4 = 0. What is the remainder when 9 is divided by c?
1
What is the remainder when -11 + -5 + -3 + 85 is divided by 17?
15
Let k(g) = 3*g**3 + 71*g**2 + 32*g + 18. What is the remainder when k(-23) is divided by 86?
82
Let d = 27 + -25. Calculate the remainder when 10/35 + 12/7 is divided by d.
0
Calculate the remainder when 65 is divided by (77 + -2)/3 + -2.
19
Calculate the remainder when 79 is divided by (-14208)/(-336) - 4/14.
37
Suppose -14*s = -9*s - 40. Suppose -42 = s*v - 194. Calculate the remainder when v is divided by 3.
1
Let j = -53 - -108. Calculate the remainder when (j/(-44))/(2/(-8)) is divided by 2.
1
Let x = 7 - -3. Suppose l + a - 19 = 0, -a = -2*l - 2*a + 41. Calculate the remainder when l is divided by x.
2
Let o = 34 + 0. Let t be (0 + 2)*264/16. Let z = t + -14. What is the remainder when o is divided by z?
15
Suppose -2*s = 2*s + 4. Calculate the remainder when (-89)/(4 + (s - 4)) is divided by 15.
14
Let j = 417 + -783. What is the remainder when j/(-10) - 16/(-40) is divided by 19?
18
Let g(v) = 2*v - 34. Let k be g(14). Calculate the remainder when 13*2 - (2 - 3) is divided by ((-75)/20)/(2*k/32).
7
Suppose 0 = -6*n + 9 + 45. Let x = n + 37. Suppose i + 5*u + 3 = 0, -3*i - 6*u = -3*u - 27. What is the remainder when x is divided by i?
10
Suppose 3*l = -2*l. Let j = l - -11. Calculate the remainder when (42/5)/(1/5) is divided by j.
9
Suppose -2*b = 3*b - 65. Let i = 2957 - 2910. What is the remainder when i is divided by b?
8
Suppose -6*z + z = -2*m - 796, -3*z - 2*m + 468 = 0. What is the remainder when z is divided by 84?
74
Suppose 3*n - 85 = 2. What is the remainder when n is divided by (0 - -8 - 14) + 14?
5
Let z = -767 + 784. What is the remainder when 56 is divided by z?
5
Suppose 0 = -2*s + 4, -x + 9*s - 13*s = -172. What is the remainder when x is divided by 57?
50
Suppose -3*l - 35 = -7*u + 2*u, 4*u = -l + 11. What is the remainder when 82 is divided by u?
2
Let l be 18/(-22) + 4/(-22). Let r = 5 - l. Let u = 107 - 86. Calculate the remainder when u is divided by r.
3
Suppose -2*j = 4*h - 526, 0 = 5*h + j + 3*j - 656. Calculate the remainder when h is divided by 37.
21
Let u(a) = 10*a - 48. Let y be u(14). Suppose 0 = y*o - 94*o + 32. What is the remainder when 43 is divided by o?
11
Let k(c) = 47*c - 808. Suppose v + 5 = 3*r, r = -5*v + 2*r + 45. What is the remainder when k(18) is divided by v?
8
Let c(l) = -l**3 - 5*l**2 - 4*l + 1. Let d be c(-4). Calculate the remainder when (-44 - 10)/(-2 - (-3)/6) is divided by d/2*(39 + -1).
17
Let h(r) = -25*r - 36. Calculate the remainder when h(-4) is divided by 31.
2
Suppose -4*u + 460 = -5*m, 244 = -4*u + 6*u + m. What is the remainder when u is divided by 63?
57
Let b(w) = w**3 - 8*w**2 + 4*w - 16. What is the remainder when 190 is divided by b(8)?
14
Let n(d) = d**3 - 34*d**2 + 70*d - 94. Suppose 5*q - 6 = -56. What is the remainder when n(32) is divided by q/((-1 + -1)/4)?
18
Let i(v) = -3*v + 5. Let p be i(1). Suppose -5*b + 24 = -b - 5*j, -2*b - 14 = 4*j. Calculate the remainder when (-15)/20*p/1*-2 is divided by b.
0
Suppose -7*l + 9*l = 26. Let x(c) = c**3 - 12*c**2 - 10*c - 15. Calculate the remainder when x(l) is divided by 5.
4
Suppose b - 2 = -4*g + 8, 3*g - 9 = -b. Suppose 0 = b*i - 184 - 830. Calculate the remainder when i is divided by 58.
53
Suppose -2*m = 2*c - 18, 32 = 4*c + 12. Let w be (6 - m)/(4/16). Calculate the remainder when 5 is divided by ((-6)/w)/((-3)/12).
2
Let b(n) = -4*n + 2. Let v(m) = -m + 1. Let c(x) = -3*b(x) + 3*v(x). Suppose -28*t = -2*t - 130. What is the remainder when c(t) is divided by 22?
20
Let x = -633 - -650. What is the remainder when 66 is divided by x?
15
Let c(g) = 10*g**2 + 2*g + 9. Let l be (-2)/(-9) - ((-80)/9)/(-4). What is the remainder when c(l) is divided by 12?
9
What is the remainder when 173 is divided by -12*(5 - 84/18)*-2?
5
Let n = -1200 - -1595. Calculate the remainder when n is divided by 80.
75
Let z = 226 + -211. Calculate the remainder when 47 is divided by z.
2
Let a = 539 - 529. What is the remainder when 47 is divided by a?
7
Let z = -1762 + 2518. What is the remainder when z is divided by 11?
8
Let c(h) = 4*h - 17. Let o be c(-7). What is the remainder when 71 is divided by o/60 + ((-594)/(-8))/3?
23
Suppose 506 = 5*n + 4*s, -3*n + 13*s + 282 = 10*s. Let j = -52 + 90. Suppose -4*m + n = -j. What is the remainder when m is divided by 7?
6
Suppose 32*v - k + 46 = 33*v, -v + 41 = -4*k. Suppose 2*q - m - 26 = 0, -3*q = -q - 5*m - 34. Calculate the remainder when v is divided by q.
9
Let y = -8 - -23. Suppose -3*l + y + 0 = 0. Calculate the remainder when l is divided by 3.
2
Suppose 2*s + 4*u + 24 = 232, -5*u + 545 = 5*s. Calculate the remainder when s is divided by 39.
36
Let b(c) = c**2 + c - 4. What is the remainder when 50 is divided by b(3)?
2
Let n be 333/117 - (-2)/13. Suppose n*s - 6 = 0, -2*l - 2*l + s = -522. Calculate the remainder when l is divided by 44.
43
Let w = 15 + -14. Let b = -16 - -30. What is the remainder when b is divided by 16/(w + (-2)/(-2))?
6
Suppose -7*b + 40 = -303. Calculate the remainder when b is divided by (-2 + (-9)/2)*-2.
10
Let t(c) = c**3 + 16*c**2 + 14*c - 16. Let y be t(-15). Let o = 120 + y. Calculate the remainder when o is divided by 30.
29
Let d(c) = -c**3 + 3*c**2 - 2*c + 2. Let r(l) = -5*l - 1. Let q be r(-1). | {
"pile_set_name": "DM Mathematics"
} |
4))) + -5?
1
Calculate 3 - (5 + -5) - (3 - (1 + 19)).
20
What is 14 - (7 + 13) - (3 + -5 + 6)?
-10
What is the value of (25 - 18) + 9 + 2?
18
What is 1 + -6 - (-1 - 0 - (17 - 21))?
-8
Calculate 5 + 0 + -4 - (13 - (10 + -2)).
-4
What is 0 + 2 + 7 + -6 - (48 - 56)?
11
What is the value of 5 - (10 + -5) - (-7 + 3)?
4
16 - 24 - (-13 - -2)
3
(-886 - -860) + (17 - 1)
-10
What is the value of -1 + 1 + -5 + -3 + 7 - 7?
-8
Calculate (-13 - -25) + 2 + -14 + 6 + -3.
3
Evaluate -15 - (0 + -14) - 19 - -40.
20
What is -43 + 59 + -3 + -22?
-9
Calculate ((1 - -3) + -12 - -2) + -27 + 45.
12
Calculate 2 + -1 + 0 + 2 + 3 + 2.
8
Evaluate 6 - (-8 - (-35 + 9 + -3)) - 5.
-20
What is -24 + 14 + -20 + (0 - 3) + 8?
-25
Evaluate 25 + -19 + (-1 - 3) - (-71 + 52).
21
What is the value of -24 + 3 + 9 + -2 + 2?
-12
What is the value of (-7 + -1 - -12) + 2 + 5?
11
Calculate -2 + -2 + 1 - (-93 - (118 + -202)).
6
Evaluate -2 + -9 - (5 + (-10 - -9) + -10).
-5
What is the value of (-20 - (0 + -17)) + (2 - -25)?
24
Evaluate 4 - (-6 - -10) - (-9 - -2) - 8.
-1
Calculate 7 + -11 - (-6 + 31).
-29
What is -57 - (3 - (76 + -42))?
-26
What is the value of (2 - (8 + 2 + -1)) + -1132 + 1146?
7
What is 19 - ((6 - -6) + 14)?
-7
What is 25 + 6 + -44 + 33?
20
Evaluate -2 + 8 - (5 + -29 + 30).
0
What is (4 - 2) + 0 - (8 - (10 + 4))?
8
-18 - (-24 + 21 - 6)
-9
Calculate (8 - (-11 + 1)) + -4 + -4.
10
What is the value of -7 + 5 + 9 - 4 - (11 + -1)?
-7
What is -10 + 19 + (7 - 8)?
8
19 + 0 - (447 + -464) - -2
38
4 + 3 + -4 + -2 + -7 - 2
-8
Evaluate -7 + 9 + 3 + (-5 - (-16 + 3)).
13
Calculate 22 + -4 + -5 + -4 - 14.
-5
Evaluate -2 + (5 - 2) + (-6 - -17).
12
Calculate -1 + -10 + 7 + 5 + -7.
-6
What is the value of 63 + -83 - (-11 - (7 + -1))?
-3
Calculate -11 + -6 + -56 + 98.
25
What is the value of -30 - -34 - -6 - 1?
9
Calculate 3 + (4 - 3) - (-237 - -225).
16
7 + (1 - (11 + (3 - 9)))
3
Calculate 2 - -6 - (2 - 11 - -6 - 2).
13
Calculate (7 - (-7 + 16)) + (-2 - -17).
13
What is the value of (-1 - 10) + 0 + 0 - (-63 + 62)?
-10
4 + (0 - 8) + (13 + -19 - -6)
-4
Evaluate 63 + -50 - 25 - (1 + -5).
-8
Evaluate -3 - -6 - 10 - (-4 - (2 - 4)).
-5
What is the value of -10 + -5 + 25 + 3?
13
What is the value of (29 - 35 - (-1 - 2)) + 15?
12
1 + -1 - (52 - 46) - (0 + -1)
-5
What is the value of -7 + -30 + -32 + 54?
-15
What is -1 + (-10 - (-15 + 20)) - -25?
9
Calculate -2 + 13 + (-6 - -1) - 9.
-3
What is 19 + -24 + 14 + -1?
8
What is the value of -11 + -23 + -2 + (101 - 88)?
-23
Evaluate 17 - (-25 + 28) - 11.
3
4 + (-4 - (4 + (-10 - -4)))
2
Calculate (-3 - -6) + (-4 - (0 - 2)).
1
What is the value of (-15 + 17 - (0 - 5)) + (40 - 67)?
-20
Calculate (21 - (-16 - -39)) + 15.
13
Evaluate (10 - 27) + 13 - -1 - (-15 - -1).
11
What is (-15 + 7 - -19) + -9 - (5 - 1)?
-2
Evaluate -26 + (0 - -3 - -20).
-3
Calculate 89 + -82 + (-12 - 1) + -7.
-13
Calculate (15 - -10) + (3 + 2 - 20).
10
What is -4 + -1 - (-20 + -10 + 28)?
-3
What is the value of -6 + (28 - 8 - 17)?
-3
Calculate 0 + -1 + 3 + -39 + 29.
-8
Calculate (3 - (-1 - -2)) + (-738 - -727).
-9
What is (10 - 13) + (11 - (8 + -14 + 13))?
1
Calculate (-9 - -2 - -5) + (-13 - 0) - -5.
-10
Calculate 43 + -87 - -41 - (18 + -1).
-20
Calculate 81 + -54 - 23 - (-27 + 0).
31
Calculate -7 + -1 + -2 + 15 + (-6 - 19).
-20
Calculate 803 - 826 - (1 + (-15 - 3)).
-6
Evaluate -38 + 21 + 70 + -80.
-27
What is 1 - 11 - (-221 + 200 + -1 + 15)?
-3
Evaluate 492 - 519 - (-47 - 0).
20
-30 + -5 + 70 + -29
6
What is the value of (-5 - -14 - 21) + 27 - 43?
-28
Calculate 14 + (-16 - -4 - 5) + 3.
0
23 - 0 - (-15 - 20 - -43)
15
Calculate 2 - ((22 - 34) + (1 - (1 + 0))).
14
Evaluate -10 + (1 - (7 - 18)).
2
What is the value of -53 + 33 + (-7 - -26)?
-1
0 + 1 - ((-11 - 11) + 9 + 9)
5
Evaluate (-4 - 13 - (-31 - -26)) + 14.
2
(7 - -1) + -12 + -4 + (-1 - -3)
-6
Calculate -84 + 82 + (-3 - -14 - 3).
6
Evaluate -3 + (-1 + -9 - -35) + -10.
12
What is the value of 0 + 3 + 33 - 20?
16
What is 8 + -1 + (-3 - (18 - 20)) + 21?
27
What is the value of -5 + -5 + -2 + 0 - -6 - 5?
-11
Calculate 0 + 6 - -3 - (-28 - -48).
-11
What is the value of -18 + (3 + -1 - (38 - 29 - 6))?
-19
21 + -9 + -13 + -9
-10
What is -10 + (13 + -1 + 0 - (-54 - -15))?
41
What is the value of -5 + -23 + -4 + (2 - (4 - 11))?
-23
Calculate -15 + (-2 - 1 - (-2 + (1 - 4))).
-13
32 + 15 - (-7 + -5 + 21)
38
What is the value of (-183 + 181 - (-6 - (1 + -1))) + -5?
-1
What is 3 + 0 + -3 + -2 + (-42 - -47)?
3
What is the value of -34 - -1 - (67 - 118)?
18
3 + (51 - 71 - (-6 + 1)) + 3
-9
What is the value of 0 - 7 - (2 + (19 - (-19 - -38)))?
-9
Evaluate -1 + -5 + -360 + 363.
-3
What is -4 + (11 - (40 - 18)) + 1 + 5?
-9
Evaluate -237 + 256 - (48 - 2).
-27
Calculate -13 + (-20 - (-3 - 21)).
-9
What is -13 + 39 - 22 - (1 - 1)?
4
What is the value of -9 - ((16 - 5) + -31)?
11
What is (-3 + 24 - (34 + -24)) + -8?
3
-3 + (-5 - -5 - 5 - -17 - 5)
4
What is -4 + -5 + -2 + -1 + (-20 - -19)?
-13
8 + (-8 - (-3 - -6))
-3
Evaluate -5 + 5 + -2 + 7 - (7 - 0).
-2
4 + 6 + -9 - (-1 - -8)
-6
What is -16 - -5 - (-1 + -4 + -2)?
-4
-10 - (-20 - (22 - 22)) - (-4 + 1)
13
Evaluate -16 + (1 - (-22 + 9) - 7) + 25.
16
(5 - -2) + 14 + -43 - (-2 + 11)
-31
Calculate 5 + -35 + 16 + 15 - 14.
-13
What is 32 + 4 + 0 + -2 + -4 + -4?
26
Evaluate (-4 - 0) + (-18 - (0 - 21)) - 18.
-19
What is the value of (20 - 37 - -21) + (22 - 6)?
20
-9 - -1 - ((1 - 0 - 13) + -6)
10
Evaluate 9 + (-22 + 24 - 20).
-9
(1 + 5 - 0) + (-18 - -9) - 6
-9
Evaluate 19 - 8 - -3 - 9 - (-1 + 2).
4
What is the value of (1 - -12) + -31 + 18 - 12?
-12
-1 + 1 + 5 - (1941 - 1914)
-22
What is -2 + (-2 + -8 - (-2 + 0)) - -3?
-7
Calculate 22 + -10 + -8 + (-8 - -3) + 6.
5
0 - (6 + -2 + 0 + -1 + 4)
-7
What is (176 - 179) + -1 + -1?
-5
19 + -12 + (-13 - (-13 + 8))
-1
What is the value of (-6 + 9 - (-6 - 5)) + -9?
5
What is -8 + 12 + -9 - (0 - 15)?
10
Calculate (5 - (25 - -8)) + 13.
-15
Calculate (53 - 25) + (-2 - 10) - 1.
15
What is the value of (-8 - -2) + -6 + 20 + -7 + 6?
7
Evaluate 19 + -13 + 20 + -12.
14
-10 + 13 + 1 + (10 - -1)
15
What is -9 + -33 + 52 + (-3 - 24)?
-17
What is (32 - 40) + (-1 - -19) + 2?
12
Evaluate (3 - 2) + -7 - (2 + (2 - 20)).
10
What is -7 + 25 + -21 + 1?
-2
Evaluate (-3 - 8) + (28 - 18 - (9 - 2)).
-8
Calculate 193 + -179 - (1 + -2).
15
What is 2 - (7 + -15 - (-9 + 2))?
3
-1 + -2 - (-28 + 56)
-31
Calculate 6 - (7 + -12 + (-5 - -5)).
11
Evaluate (-13 - 2) + (1 - (2 + -2 + -3)).
-11
Calculate 4 + (-3 - -7 - 5 - -6) - 5.
4
Evaluate (13 - 15) + -6 + -20 + (-8 - -9).
-27
Evaluate 6 + 14 + -1 + (-13 - -4) + -36.
-26
What is the value of -12 + 22 + (1 - 0)?
11
Calculate (0 - -4) + -3 + -1 + -5.
-5
(13 - (-5 - -14)) + 0 + -2
2
What is -230 - -249 - (17 + -2)?
4
What is the value of 5 - (-12 + 11 + 11 + -22 + 11)?
6
Calculate 62 - 50 - (2 - -33) - (-12 - -4).
-15
What is -41 + 24 + 25 + -36?
-28
6 + -26 + 48 + -10
18
What is (-1 - 8 - -18) + -15 + (0 - 1)?
-7
25 + 0 + -15 + 0
10
What is the value of 9 + (-71 - 11) + 38?
-35
Calculate 0 + (-163 - -159) + -7 + 0.
-11
What is the value of -17 + 0 + 14 + 5 + 2?
4
Evaluate 10 - (8 + -9 + 4).
7
(-7 - -4) + -23 - -28
2
(10 - 0 - (30 + -2 + -26)) + -30
-22
-1 + -2 - (3 + 11 + -22) - 44
-39
What is the value of 0 + -18 - (-11 - 0 - (-178 + 172))?
-13
Calculate 2 - 32 - (200 + -212).
-18
What is (-13 - -17 - 3) + -3?
-2
What is the value of 2 + -24 - (-1 + 5 + -18 + 4)?
-12
(9 - 3) + 7 + (6 - 0)
19
Calculate (93 - 93) + (-3 - -1).
-2
What is the value of -32 + ((18 - 10) + -8 - -10)?
-22
What is the value of 8 + 2 - (19 + (-19 - (-22 + 10)))?
-2
Calculate -119 + 97 + (-1 - -19).
-4
Calculate (-5 - -5 - (5 + 1 + 7)) + -4.
-17
Calculate -12 + (24 - (20 - 26)).
18
What is -8 - -6 - (10 - -8 - 10)?
-10
Evaluate (-25 - -11) + 26 + (3 + 0 - 11).
4
What is -6 - (10 + 23 + -26)?
-13
Evaluate 2 - 3 - (-5 + -17).
21
118 - 71 - 68 - (-9 + 1)
-13
Evaluate 18 + 13 + -41 + (0 - (1 - -12)).
-23
What is the value of -15 - 0 - ((-35 - -76) + -37)?
-19
Evaluate 1 + 0 - -5 - (4 - 1 - 4).
7
Calculate 14 - (35 + (2 - 8) + -15).
0
Calculate -23 - (-19 - (-29 + 20)).
-13
Evaluate 2 + -9 - (0 + -2 - 6) - -4.
5
(-1 - (11 - 16)) + 9 + -1
12
(6 + -3 + -1 - 4) + 10 + 1
9
Calculate -30 - -14 - (-11 + 3).
-8
Calculate (5 - (9 - (-8 - -12))) + -7.
-7
Evaluate (9 - 10) + 8 - 16 - 4.
-13
What is | {
"pile_set_name": "DM Mathematics"
} |
*2 + 77*o**2 + 5*o + 47*o**2. Calculate l(a(r)).
164*r**4 - 5*r**2
Let x(f) = -478*f**2 + 973*f**2 - 480*f**2. Let y(q) = 40*q**2. Determine x(y(g)).
24000*g**4
Let k(v) = 2*v**2. Suppose 12*m - 892 = 2804. Let d(u) = -m + 155 + 7*u + 153. What is k(d(w))?
98*w**2
Let z(n) = -335*n - 70. Let j(b) = 24*b + 5. Let u(l) = 55*j(l) + 4*z(l). Let x be u(-1). Let a(o) = -29*o + x*o + 16*o + 8. Let p(q) = -2*q. Give a(p(i)).
-4*i + 8
Let y(k) = 21*k**2. Let r(o) = o**2 + 2*o. Let n(q) = -q**2 - 5 + 5 - q. Let f = 925 + -924. Let t(p) = f*r(p) + 2*n(p). What is y(t(a))?
21*a**4
Let s(w) = 13838*w + 3. Let b(c) = 4*c**2. Determine s(b(p)).
55352*p**2 + 3
Let x(f) = 79*f + 3. Let u be x(1). Let g(p) = -7 + u*p + 7 - 78*p. Let n(r) = r + 4. Determine g(n(y)).
4*y + 16
Let z(m) = m**2. Suppose 6*k - 2*p = 2*k + 54, 0 = 5*p + 15. Let g(b) = 2*b - 13*b + 2 + k*b - 12*b. Calculate g(z(y)).
-11*y**2 + 2
Let u(x) = 1363*x + 4176. Let w(k) = 39*k + 120. Let p(c) = 5*u(c) - 174*w(c). Let m(n) = 9*n + 2*n + 0*n + 0*n. Determine m(p(l)).
319*l
Let b(y) = -2*y**2. Let k be (22/110)/(2/20). Let z(t) = 177*t**k - 108*t**2 - 97*t**2. Give z(b(a)).
-112*a**4
Let d(s) = 59197*s**2. Let o(t) = -884*t. Determine d(o(b)).
46259850832*b**2
Let u(p) = p**2 + 23*p - 46. Let t be u(2). Let x(c) = 15016 - 15016 - t*c. Let j(d) = 24*d. Calculate x(j(a)).
-96*a
Let c(f) = -7*f**2 + 3*f - 3341. Let b(v) = -3*v**2 - 31. Determine c(b(x)).
-63*x**4 - 1311*x**2 - 10161
Let u(m) = -12*m. Let p(z) = -z + 3. Let c(q) = -4*q + 16. Let v(h) = -4*h - 4. Let w be v(-6). Let l = w - 23. Let x(i) = l*c(i) + 16*p(i). Calculate u(x(j)).
48*j
Let o(w) = -w**2. Let v(b) = 25*b**2 + 3*b + 3. Let d = -186 + 189. Let k(z) = -51*z**2 - 7*z - 7. Let l(h) = d*k(h) + 7*v(h). Give o(l(y)).
-484*y**4
Let b(r) = -3991*r**2. Let c(h) be the first derivative of -h**3/3 + 5038. Calculate c(b(u)).
-15928081*u**4
Let g(s) = 2769*s**2 - 10*s - 33. Let j(i) = -3*i. Calculate g(j(k)).
24921*k**2 + 30*k - 33
Let k(h) = 5*h**2 - 7*h + 9. Let j(f) = f**2 + 7*f - 9. Let o(b) = -4*j(b) - 4*k(b). Let p(t) = 48*t. Calculate p(o(r)).
-1152*r**2
Let p(i) be the first derivative of i**2/2 + 1. Let z(k) = 35*k + 386. Let n(b) = -40*b - 464. Let s(g) = 5*n(g) + 6*z(g). Calculate s(p(v)).
10*v - 4
Let j(p) = -2*p. Let k = -4001 + 4001. Let v(t) be the third derivative of k*t + 1/6*t**4 + 0*t**3 - 14*t**2 + 0. Calculate j(v(z)).
-8*z
Let t(h) = 10*h. Let y(r) = r**2 - 1258901. What is y(t(p))?
100*p**2 - 1258901
Let l(h) = 4*h. Let a(q) be the third derivative of 533*q**5/15 - 2*q**2 - 324*q. Give l(a(o)).
8528*o**2
Let j(v) = -198 - 2*v + 46 + 151. Let y(u) = -7*u. Give j(y(f)).
14*f - 1
Let i(q) = 24*q. Let z be (-858404)/(-28) + 18/(-63). Let c(y) = -30657 + y + z. Calculate c(i(j)).
24*j
Let u(q) = 4575939*q**2. Let w(k) = 10*k. Determine w(u(c)).
45759390*c**2
Let y(x) = -3*x**2. Let d(l) be the first derivative of -4537*l**3/3 - 5052. Calculate y(d(b)).
-61753107*b**4
Let a(n) = -789 + 1578 - 127*n - 787. Let s(i) = -3*i**2. What is s(a(p))?
-48387*p**2 + 1524*p - 12
Let a(f) be the first derivative of 17*f**2/2 - 317. Let r(s) = s - 1. Let u(t) = -25*t + 20. Let b(j) = -20*r(j) - u(j). Calculate a(b(d)).
85*d
Let l(z) = z - 5. Let h be l(6). Let v(q) = 156*q - 1 - 154*q + h. Let x(s) = 13*s**2. Give x(v(f)).
52*f**2
Let w(u) = -u**2. Let q(o) = -2078321*o. What is w(q(k))?
-4319418179041*k**2
Let u(c) be the first derivative of 49*c**3/3 + c**2 + 1. Let p(r) = 12*r + 12*r - 50*r - 4*r + 11*r + 21*r. Give p(u(d)).
98*d**2 + 4*d
Let r(q) = -12055*q**2 - 25. Let d(j) = -4*j. What is r(d(h))?
-192880*h**2 - 25
Let g(n) = -6*n**2. Let u be (15/3)/(2 + -1). Suppose 6 + 9 = u*h. Let m(r) = -3*r + 0*r + 3*r + h*r. Give g(m(j)).
-54*j**2
Let j(l) = l**2 - 103*l - 3. Let r(h) = -18838*h**2 + 37667*h**2 - 18827*h**2. Give j(r(s)).
4*s**4 - 206*s**2 - 3
Let p(t) = t**2 - 11869176. Let a(b) = 2*b. Give p(a(y)).
4*y**2 - 11869176
Let q(c) = -2126867*c. Let f(r) = 2*r. Determine f(q(i)).
-4253734*i
Let t(d) be the first derivative of d**3/3 + 279. Let m(c) = -2*c + 1287. Calculate m(t(n)).
-2*n**2 + 1287
Suppose 116 + 84 = 40*j. Let m(s) = -35 + 19 + 4*s + 16 + j*s. Let x(v) = -v - 18. Determine x(m(l)).
-9*l - 18
Let t(g) = -2*g**2. Suppose 0 = 13*a + 8*a - 315. Let u(s) = -4*s + 22 + 9 + 3 - a. Give t(u(f)).
-32*f**2 + 304*f - 722
Let r = -48 + 62. Suppose 10 = -9*u + r*u. Let k(v) = -13*v**2 + 9*v**u - 4*v**2. Let f(l) = -9*l**2. Give f(k(c)).
-576*c**4
Let s(j) = -102*j**2. Let m(i) = 93*i**2 - 2. Let w(p) = 61004*p**2 - 1313. Let g(t) = -1313*m(t) + 2*w(t). Determine s(g(x)).
-1040502*x**4
Let w(j) = 11*j - 1. Let f(n) = n**2 - n - 19. Let g(m) = 21*m**2 - 15*m - 285. Let x(a) = 15*f(a) - g(a). Determine x(w(b)).
-726*b**2 + 132*b - 6
Let z(r) = -3*r**2 + 4*r. Let v(o) = 15*o**2. Let k(b) = -b**2. Let w(l) = -40*k(l) - v(l). Give z(w(n)).
-1875*n**4 + 100*n**2
Let t(m) = 7 - 4 - 1 - 26*m. Let r(w) = 34*w**2 + 3*w + 1. Let p be r(2). Let x(y) = -p*y - 134*y + 279*y. Calculate x(t(q)).
-52*q + 4
Let f(q) be the third derivative of -q**7/2520 - 5*q**4/12 + 26*q**2. Let b(w) be the second derivative of f(w). Let v(k) = 3 - 3 + 2*k**2. Give v(b(s)).
2*s**4
Let s(j) = 11*j + 17. Let n(f) = 4*f + 6. Let o(d) = 17*n(d) - 6*s(d). Suppose 8*t = 417 - 401. Let g(v) = -100*v**2 - 83*v**2 + 215*v**t. Calculate g(o(q)).
128*q**2
Let k = 127 + -125. Let f(i) = -3 + 7 - 4 + k*i. Let o(b) = -3*b + 33*b - b. What is o(f(r))?
58*r
Let j(c) = -c**2 - 16*c - 2742. Let q(z) = 39*z. What is q(j(f))?
-39*f**2 - 624*f - 106938
Let s(o) = -9*o + 15*o - 78*o + 187*o. Let v(m) = -m. Calculate v(s(g)).
-115*g
Let k(z) = 7*z**2 + z**2 + z**2. Let h(q) = 5*q**2 - 4*q. Let y(t) = 70*t**2 - 55*t. Suppose -12*w + 1 = -47. Let l(n) = w*y(n) - 55*h(n). Determine k(l(x)).
225*x**4
Let k(d) = -109670*d**2. Let p(f) = -16*f. Give k(p(a)).
-28075520*a**2
Let t(c) be the third derivative of 37*c**5/60 - 136*c**2 - 4*c + 3. Let v(s) = 485*s. Determine v(t(n)).
17945*n**2
Let c(p) = -4974*p + 700. Let x(h) = -5*h. Calculate c(x(d)).
24870*d + 700
Let o(l) be the first derivative of l**4/12 + 88*l - 26. Let v(a) be the first derivative of o(a). Let w(c) = -85*c. Determine v(w(f)).
7225*f**2
Let q(t) = 25*t**2. Let u(s) be the second derivative of -109*s**4/12 + 3324*s. Calculate u(q(r)).
-68125*r**4
Let r(w) = 14*w**2. Let p(d) be the first derivative of 17*d**2 + 2*d + 1504. Calculate p(r(c)).
476*c**2 + 2
Let l(r) = -56554 - 11*r + 56554. Let x(t) = 5*t. Determine x(l(a)).
-55*a
Let t = -7783 + 7786. Let h(x) be the first derivative of 0*x + 0*x**2 + 13 - 2/3*x**t. Let n(i) = 14*i**2. Calculate h(n(y)).
-392*y**4
Let h = -71 + 83. Suppose h = 3*g, 24 = -0*j + 4*j - g. Let x(c) = j*c + 82 - 82. Let s(r) = -3*r**2. Calculate s(x(v)).
-147*v**2
Let c(a) be the first derivative of -4*a**3 - 3297. Let l(r) = r - 51. Determine c(l(s)).
-12*s**2 + 1224*s - 31212
Let w(g) = -g**2. Suppose 3*q - 1 + 7 = -4*i, q + 2 = -5*i. Let a(y) = i*y - 85*y**2 + 52*y**2 + 0*y. Determine w(a(k)).
-1089*k**4
Let f(c) = -3*c + 1. Suppose 8*k + 15 = 7*k + 4*d, 0 = -3*k + 4*d - 5. Let x(p) = -22*p + 7. Let m(n) = k*x(n) - 35*f(n). Let j(g) = 26*g**2. What is j(m(u))?
650*u**2
Let d = 342 - 334. Suppose -1 = -2*u + 3. Let p(x) = 12*x - d - u*x - 6*x. Let k(w) = w**2. Calculate p(k(i)).
4*i**2 - 8
Let z(s) = -83*s**2 - 74*s**2 + 55*s + 8*s - 63*s. Let x(f) = -4*f**2. Determine x(z(d)).
-98596*d**4
Let m(y) = -6*y**2 + 2*y. Let f(r) be the first derivative of 17*r**3/3 + 1293. Determine f(m(d)).
612*d**4 - 408*d**3 + 68*d**2
Let q(a) = 4 + 5 - 9 - 17*a. Let g(u) be the second derivative of 7*u**3/3 - 4177*u. Give q(g(l)).
-238*l
Let g(f) be the first derivative of -2*f**2 + 9766. Let t(y) be the second derivative of 3*y**3/2 - 2*y. Calculate t(g(q)).
-36*q
Let b(m) = 935*m - 198. Let i(a) = -19*a + 4. Let g(x) = 4*b(x) + 198*i(x). Let t(z) = -191*z. What is t(g(c))?
4202*c
Let d = -150 - -145. Let r be (0/((-3)/(-1)))/(d - -1). Let j(y) = 23*y**2 + r + 0 - 25*y**2. Let m(o) = -2*o. Give m(j(s)).
4*s**2
Let z(k) = -2714*k - 582. Let u(c) = 6*c. What is u(z(d))?
-16284*d - 3492
Let v(p) be the first derivative of 2*p**2 - 2595. Let z(j) = 104*j**2 + j. Give v(z(k)).
416*k**2 + 4*k
Let t(j) = -143803 | {
"pile_set_name": "DM Mathematics"
} |
10572, -18856, -29512, -42534, -57916?
j**3 - 1198*j**2 + 65*j - 12
What is the p'th term of -45719, -182867, -411453, -731483, -1142963, -1645899, -2240297, -2926163?
-p**3 - 45713*p**2 - 2*p - 3
What is the h'th term of -489, -991, -1493, -1995?
-502*h + 13
What is the a'th term of -9006, -35891, -80700, -143433, -224090, -322671, -439176?
-8962*a**2 + a - 45
What is the y'th term of 2158, 4291, 6424, 8557?
2133*y + 25
What is the q'th term of -399, 9, 1115, 3267, 6813?
58*q**3 + q**2 - q - 457
What is the y'th term of 6020, 6018, 6016, 6014, 6012, 6010?
-2*y + 6022
What is the y'th term of 1089782, 2179560, 3269338, 4359116, 5448894, 6538672?
1089778*y + 4
What is the a'th term of -9745, -9740, -9733, -9724?
a**2 + 2*a - 9748
What is the q'th term of 4, 6, 6, 4, 0, -6, -14?
-q**2 + 5*q
What is the h'th term of -1969587, -3939174, -5908761?
-1969587*h
What is the t'th term of 67221, 134446, 201675, 268908, 336145?
2*t**2 + 67219*t
What is the b'th term of 15421, 61577, 138493, 246163, 384581?
-b**3 + 15386*b**2 + 5*b + 31
What is the q'th term of 7233, 7241, 7255, 7275, 7301, 7333?
3*q**2 - q + 7231
What is the y'th term of 345, 682, 1005, 1308, 1585, 1830, 2037?
-y**3 - y**2 + 347*y
What is the q'th term of 39, 423, 809, 1197, 1587, 1979?
q**2 + 381*q - 343
What is the v'th term of -11435, -22902, -34333, -45710, -57015, -68230, -79337, -90318?
3*v**3 - 11488*v + 50
What is the o'th term of -195, -283, -145, 333, 1265?
19*o**3 - o**2 - 218*o + 5
What is the m'th term of 16533, 16530, 16527, 16524?
-3*m + 16536
What is the w'th term of 46574, 93145, 139716?
46571*w + 3
What is the o'th term of -7665, -30739, -69217, -123099, -192385, -277075, -377169?
-7702*o**2 + 32*o + 5
What is the g'th term of 3685, 7376, 11075, 14782, 18497, 22220?
4*g**2 + 3679*g + 2
What is the y'th term of -33474, -66950, -100428, -133908, -167390?
-y**2 - 33473*y
What is the v'th term of -131508, -263015, -394526, -526041?
-2*v**2 - 131501*v - 5
What is the c'th term of -1413, -2828, -4241, -5652, -7061, -8468, -9873?
c**2 - 1418*c + 4
What is the c'th term of -32127, -32121, -32115, -32109, -32103?
6*c - 32133
What is the t'th term of -1634328, -3268655, -4902982?
-1634327*t - 1
What is the d'th term of 320, 705, 1090?
385*d - 65
What is the d'th term of -215, -330, -513, -764, -1083?
-34*d**2 - 13*d - 168
What is the k'th term of 589, 892, 1205, 1534, 1885, 2264, 2677?
k**3 - k**2 + 299*k + 290
What is the a'th term of -4335, -4143, -3951, -3759?
192*a - 4527
What is the g'th term of 4705, 9408, 14109, 18808, 23505, 28200?
-g**2 + 4706*g
What is the k'th term of -126194, -126198, -126202, -126206, -126210, -126214?
-4*k - 126190
What is the x'th term of -35397, -35398, -35399?
-x - 35396
What is the y'th term of -40835, -40843, -40865, -40907, -40975, -41075, -41213, -41395?
-y**3 - y**2 + 2*y - 40835
What is the q'th term of 24370, 48740, 73110, 97480, 121850?
24370*q
What is the c'th term of -721628, -721629, -721630, -721631, -721632, -721633?
-c - 721627
What is the j'th term of 2976, 6187, 9648, 13365, 17344, 21591, 26112?
j**3 + 119*j**2 + 2847*j + 9
What is the x'th term of -478526, -957043, -1435562, -1914083?
-x**2 - 478514*x - 11
What is the w'th term of -383, -296, -211, -128, -47, 32?
-w**2 + 90*w - 472
What is the l'th term of 1812, 7327, 16508, 29349, 45844, 65987?
-l**3 + 1839*l**2 + 5*l - 31
What is the d'th term of -21, -126, -401, -930, -1797, -3086?
-14*d**3 - d**2 - 4*d - 2
What is the w'th term of -5, -44, -153, -368, -725, -1260, -2009, -3008?
-6*w**3 + w**2
What is the l'th term of -3612, -3599, -3578, -3549, -3512, -3467?
4*l**2 + l - 3617
What is the a'th term of -492, -1112, -1760, -2442, -3164, -3932?
-a**3 - 8*a**2 - 589*a + 106
What is the s'th term of 1218, 1175, 1060, 837, 470, -77, -840, -1855?
-6*s**3 - s + 1225
What is the j'th term of -1275, -5315, -12055, -21501, -33659, -48535?
-j**3 - 1344*j**2 - j + 71
What is the u'th term of 564, 456, 288, 60?
-30*u**2 - 18*u + 612
What is the b'th term of -109523, -109503, -109469, -109421?
7*b**2 - b - 109529
What is the h'th term of -157, -248, -345, -454, -581, -732?
-h**3 + 3*h**2 - 93*h - 66
What is the s'th term of 304, 1163, 2600, 4615, 7208, 10379, 14128?
289*s**2 - 8*s + 23
What is the n'th term of 413058, 413052, 413046, 413040, 413034, 413028?
-6*n + 413064
What is the p'th term of -151, -130, -55, 110, 401, 854, 1505, 2390?
6*p**3 - 9*p**2 + 6*p - 154
What is the u'th term of -1, -19, -61, -139, -265, -451?
-2*u**3 - 4*u + 5
What is the f'th term of 223, 291, 329, 325, 267, 143, -59, -351?
-2*f**3 - 3*f**2 + 91*f + 137
What is the o'th term of 2531, 2308, 1937, 1418, 751?
-74*o**2 - o + 2606
What is the g'th term of 2348, 2166, 1662, 674, -960, -3402, -6814?
-27*g**3 + g**2 + 4*g + 2370
What is the f'th term of -2697886, -5395772, -8093658, -10791544, -13489430, -16187316?
-2697886*f
What is the w'th term of -1359, -484, 981, 3042, 5705, 8976, 12861?
w**3 + 289*w**2 + w - 1650
What is the k'th term of 1492230, 2984458, 4476684, 5968908, 7461130, 8953350?
-k**2 + 1492231*k
What is the j'th term of -175404, -350807, -526210, -701613?
-175403*j - 1
What is the i'th term of 1167, 808, 447, 84, -281?
-i**2 - 356*i + 1524
What is the y'th term of -27827, -27823, -27819, -27815, -27811?
4*y - 27831
What is the r'th term of 970, 2154, 3338, 4522, 5706, 6890?
1184*r - 214
What is the y'th term of -9305, -9305, -9307, -9311, -9317, -9325, -9335?
-y**2 + 3*y - 9307
What is the t'th term of 122980, 122963, 122930, 122875, 122792, 122675, 122518, 122315?
-t**3 - 2*t**2 - 4*t + 122987
What is the c'th term of 1536, 3038, 4540, 6042, 7544?
1502*c + 34
What is the f'th term of -6730, -11916, -17104, -22294, -27486, -32680, -37876?
-f**2 - 5183*f - 1546
What is the y'th term of -16737, -33504, -50271, -67038?
-16767*y + 30
What is the c'th term of 77, 657, 2215, 5231, 10185, 17557?
80*c**3 + 9*c**2 - 7*c - 5
What is the u'th term of 1156, 1149, 1142, 1141, 1152, 1181?
u**3 - 6*u**2 + 4*u + 1157
What is the g'th term of -727, -3221, -7377, -13195?
-831*g**2 - g + 105
What is the b'th term of -376, -1490, -3350, -5956, -9308, -13406, -18250?
-373*b**2 + 5*b - 8
What is the t'th term of -8, 2, 36, 94, 176, 282?
12*t**2 - 26*t + 6
What is the k'th term of 195, 364, 521, 666, 799, 920?
-6*k**2 + 187*k + 14
What is the u'th term of 1729, 7042, 15897, 28294, 44233, 63714?
1771*u**2 - 42
What is the s'th term of -132, -224, -294, -342, -368, -372?
11*s**2 - 125*s - 18
What is the s'th term of -2552, -10211, -22984, -40877, -63896?
-s**3 - 2551*s**2 + s - 1
What is the w'th term of -630, -1685, -2686, -3627, -4502, -5305?
w**3 + 21*w**2 - 1125*w + 473
What is the c'th term of -257670, -515350, -773030, -1030710, -1288390, -1546070?
-257680*c + 10
What is the m'th term of -124, -665, -2094, -4855, -9392, -16149?
-74*m**3 - 23*m - 27
What is the c'th term of 685, 2246, 4849, 8494, 13181?
521*c**2 - 2*c + 166
What is the l'th term of -112117, -112118, -112119, -112120?
-l - 112116
What is the h'th term of 552, 1128, 1726, 2346, 2988, 3652, 4338?
11*h**2 + 543*h - 2
What is the m'th term of 10117, 10052, 9987?
-65*m + 10182
What is the w'th term of -470, -814, -1148, -1466, -1762, -2030?
w**3 - w**2 - 348*w - 122
What is the y'th term of -724, -1485, -2294, -3169, -4128, -5189?
-3*y**3 - 6*y**2 - 722*y + 7
What is the c'th term of 1433, 2675, 3917, 5159, 6401?
1242*c + 191
What is the r'th term of 2043, 4124, 6201, 8274, 10343?
-2*r**2 + 2087*r - 42
What is the w'th term of -2687, -2659, -2631, -2603?
28*w - 2715
What is the i'th term of -197458, -197457, -197454, -197449, -197442, -197433?
i**2 - 2*i - 197457
What is the v'th term of 3046, 3016, 2984, 2950, 2914, 2876, 2836?
-v**2 - 27*v + 3074
What is the v'th term of 1080, 3921, 8520, 14877, 22992, 32865, 44496?
879*v**2 + 204*v - 3
What is the y'th term of 1589, 1584, 1569, 1538, 1485?
-y**3 + y**2 - y + 1590
What is the f'th term of -535, -774, -1013, -1252, -1491, -1730?
-239*f - 296
What is the p'th term of -142, -507, -1086, -1879, -2886?
-107*p**2 - 44*p + 9
What is the f'th term of 873, 7020, 23691, 56148, 109653, 189468, 300855, 449076?
877*f**3 + 8*f - 12
What is the n'th term of -6484, -12966, -19444, -25918, -32388, -38854, -45316?
2*n**2 | {
"pile_set_name": "DM Mathematics"
} |
f) = -f**3 - 3*f**2 - 3*f. Let s = -88 - -102. Let g(n) = -15 + s - n + 1 - n**2. Give 3*g(v) - i(v).
v**3
Let a(r) = 4*r - 1. Let u(s) = s**2 + s + 1. Let k(b) = -10*b + 45. Let i be k(3). Let h(d) = -d**3 + 15*d**2 - 1. Let m be h(i). What is m*u(g) - a(g)?
-g**2 - 5*g
Let s(a) = 9*a + 723. Let o(g) = -10*g - 721. Calculate 8*o(j) + 9*s(j).
j + 739
Let s be 1*-2 - 1*-1. Let z(n) = n - 3. Suppose 4*v = 14 + 10. Let p(m) = 4 - v*m - 3 + 3*m + 3*m + m. Give s*z(h) - p(h).
-2*h + 2
Let t(a) = 22*a**2 + 1460*a. Let b(z) = -8*z**2 - 487*z. Calculate 17*b(d) + 6*t(d).
-4*d**2 + 481*d
Let v(c) = -579*c + 287*c - 5 + 287*c. Let y be (2/3)/(16/24). Let h(p) = p + 1. Determine y*v(i) + 3*h(i).
-2*i - 2
Let z(o) = 4*o + 91. Let v(q) = 11*q + 251. Calculate 3*v(y) - 8*z(y).
y + 25
Let u = -14 - -19. Let l(p) = -3*p**3 + 4*p**2 - 4*p. Let q(z) = -5*z - 2*z**3 + 5*z**2 + 1566258 - 1566258. What is u*l(i) - 4*q(i)?
-7*i**3
Let b(y) = -19*y**3 + 17*y**2 + 13. Let t(x) = -x**2 + 29*x + 552. Let m be t(-13). Let f(q) = -8*q**2 - 10 + 87*q**3 + 4 - 78*q**3. Determine m*b(d) + 13*f(d).
3*d**3 - 2*d**2
Let a(s) = 6*s**2 - 131*s + 12. Let y(q) = -11*q**2 + 228*q - 22. Let u(l) = -7*a(l) - 4*y(l). Let x(k) = 7*k**2 + 21*k + 17. What is 9*u(h) - 2*x(h)?
4*h**2 + 3*h + 2
Let j(h) = -64*h - 27. Let m(i) = i - 15. Let f(t) = j(t) - 2*m(t). Let d(b) = 133*b - 5. Determine -3*d(k) - 5*f(k).
-69*k
Let f(j) = 2*j**3 + 7*j**2 + 8*j. Suppose -2*d + 15 = s + 8, 0 = s + 4*d - 21. Let i(v) = 3*v**3 + 10*v**2 + 12*v. Give s*f(b) + 5*i(b).
b**3 + b**2 + 4*b
Let i(y) = -7*y + 16*y - 6*y. Let a(r) = -9*r - 8*r + 21*r - 5*r. Calculate 2*a(f) + i(f).
f
Let o(t) = 9*t**2 - 3*t. Let l be (-6)/(-15)*(19 - -1)/4. Let u(x) = -5*x**2 + 25*x**2 - 10*x**l + x - 13*x**2. What is 3*o(b) + 8*u(b)?
3*b**2 - b
Let t(v) = -41*v**2. Let m be (-640)/112 + (270/(-63) - -4). Let c(a) = 2625*a**2. What is m*c(l) - 385*t(l)?
35*l**2
Let x(p) = -5*p + 50. Let f(l) be the third derivative of l**4/12 - 25*l**3/6 - 165*l**2 + 8*l. Determine -9*f(w) - 4*x(w).
2*w + 25
Let c(n) be the first derivative of 7*n**3 - 3*n**2/2 + 3*n + 1454. Let h(i) = -i + 1. Determine c(z) - 3*h(z).
21*z**2
Let q(m) = 153118 + 0*m**3 + 19*m**3 - 153120. Let o(c) = -18*c**3 + 3. Give -4*o(g) - 6*q(g).
-42*g**3
Let h(q) = -q**3 - 11*q**2 + 123*q + 5. Let l(g) = -3*g**3 - 36*g**2 + 363*g + 16. What is -13*h(x) + 4*l(x)?
x**3 - x**2 - 147*x - 1
Let m(o) = -10*o - 1. Let v(w) = 29*w - 1689. What is -3*m(i) - v(i)?
i + 1692
Let w(t) = 17. Let v(o) = 1203*o - 306765. Calculate 2*v(j) + 36090*w(j).
2406*j
Let a(w) = -91*w**2 - 5*w. Let k(x) = -43*x - 774*x**2 - 11 - 8 - 37 + 56. Calculate -43*a(g) + 5*k(g).
43*g**2
Let m(b) = -11*b - 14*b - b**3 - 3*b + 5*b**2 + 3 + 29*b. Let s be m(5). Let n(z) = z**2 + z + 1. Let y(d) = 6*d**2 + 10*d + 8. Determine s*n(c) - y(c).
2*c**2 - 2*c
Let l(o) = -o**3 - o**2 - o + 1. Let p(t) = 24*t**2 + 132*t - 60. Let n(q) = 7*q**2 + 37*q - 17. Let j(h) = -18*n(h) + 5*p(h). Give j(s) - 6*l(s).
6*s**3
Let f(c) = 2*c + 11. Let y(j) be the third derivative of -j**4/24 - j**3 + 6*j**2 + 251*j. Determine 6*f(u) + 10*y(u).
2*u + 6
Let w(q) = 498*q**3 + 4*q**2 + 4*q - 246*q**3 + 0*q**2 - 255*q**3. Let o(g) be the second derivative of -g**4/12 - g**3/6 - g. Determine -2*o(m) - w(m).
3*m**3 - 2*m**2 - 2*m
Let l(k) = -1491*k. Let j(c) = 5976*c + 1. Determine 2*j(p) + 9*l(p).
-1467*p + 2
Let c(x) = 70*x - 26*x - 70*x + 6 - 2. Let y(z) = 26*z - 3. Give -3*c(g) - 4*y(g).
-26*g
Let m(t) = -2407*t + 7. Let l(j) = -2409*j + 11. Determine -2*l(w) + 3*m(w).
-2403*w - 1
Let i(t) = -10*t. Let g(b) = -56*b - 21. Give g(l) - 6*i(l).
4*l - 21
Let o(l) = 9 - 5*l**2 - 2*l + 8*l - l**2 + 4*l**3. Let t be 1/(1/(-6))*(11 + 5265/(-486)). Let x(g) = -g**3 + g**2 - g - 1. Calculate t*o(a) - 6*x(a).
2*a**3 - 3
Let b(p) = -17*p - 5. Let j(c) be the first derivative of -2*c**2 - c - 1080. Let y be 83/9 - (-6)/(-27). Give y*j(f) - 2*b(f).
-2*f + 1
Let o(r) = 17*r**3 - 5*r**2 - 5*r. Let t(d) = -8*d**3 + 3*d**2 + 3*d. Let g be (11 + (-459)/34)/((3/(-4))/3). Calculate g*t(u) + 6*o(u).
22*u**3
Let r(t) = 3*t**2 + 7*t + 17. Let o(w) = -12*w**2 - 37*w - 64. Determine -2*o(z) - 9*r(z).
-3*z**2 + 11*z - 25
Let n(q) = 70*q**3 - 17*q**2 - 5*q - 2. Let a(p) = -71*p**3 + 20*p**2 + 5*p + 2. Give 5*a(i) + 6*n(i).
65*i**3 - 2*i**2 - 5*i - 2
Suppose 8*z - 291 - 133 = 0. Suppose -z*h = -63*h - 30. Let l(w) = 3*w + 1. Let q(p) = -4 + 5*p + 5 - 2*p. Determine h*l(j) + 2*q(j).
-3*j - 1
Let m(t) = -3*t**3 - t**2 - 2*t + 1. Let h(l) = 10*l**3 + 2*l**2 - 23*l - 3. Determine -h(k) - 3*m(k).
-k**3 + k**2 + 29*k
Suppose -r + 25 = 4*r. Let p(m) = m - 6 + r + 0*m. Let s(n) be the first derivative of -n**4/4 - 3*n**2/2 + 7*n + 337. Give 5*p(y) + s(y).
-y**3 + 2*y + 2
Let j(g) = 451*g - 36. Let a(u) = 4*u - 19. Calculate -2*a(r) + j(r).
443*r + 2
Let d(u) = 429*u**3 + 20*u**2 + 4*u - 4. Let g(k) = -22306*k**3 - 1045*k**2 - 209*k + 209. Determine 209*d(n) + 4*g(n).
437*n**3
Let j(u) be the first derivative of -14*u**3 - 3*u**2/2 - 3*u + 919. Let q(s) = 43*s**2 + 2*s + 2. Calculate 2*j(z) + 3*q(z).
45*z**2
Let d(q) = -q**2 - 14*q - 52. Let k = -225 - -217. Let c be d(k). Let f(x) = -6*x + 6. Let t(w) = -13*w + 13. Give c*t(b) + 9*f(b).
-2*b + 2
Let q(i) = -188*i**2 + 18*i - 1. Let c(b) = -126*b**2 + 13*b. Give -7*c(v) + 5*q(v).
-58*v**2 - v - 5
Let t be (1/(-2))/(25/300). Let c(x) = -4*x**2 - 6*x - 6. Let r(q) = 2*q - 7. Let j(f) = f - 3. Let h(u) = 9*j(u) - 4*r(u). Calculate t*h(i) - c(i).
4*i**2
Let t(j) = -55*j - 4. Let a(z) = 67*z + 9. Calculate 2*a(o) + 5*t(o).
-141*o - 2
Suppose 21 = -4*y - 3. Let n(z) = -1. Let k = 154 + -151. Let s(l) = 3*l - 5. Let w(q) = k*n(q) - s(q). Let m(a) = 9*a - 6. Determine y*m(o) - 17*w(o).
-3*o + 2
Let d(g) = -25710508*g**3 + 48072*g**2 - 32048*g + 16024. Let t(m) = -8022*m**3 + 15*m**2 - 10*m + 5. Determine 5*d(l) - 16024*t(l).
-8012*l**3
Suppose 24 = -3*o - n - 18, -3*o - 24 = -5*n. Let h(f) = -22*f - 5 + 2 + 9 + 1 + 37*f. Let v(i) = -7*i - 3. Determine o*v(m) - 6*h(m).
m - 3
Suppose -155 = 6*m + 205. Let g = m - -64. Suppose 5*p - 3*n - 16 = 0, -3*n + 19 = -3*p + 5*p. Let q(w) = 2*w - 3. Let y(u) = -2*u + 4. Give g*y(l) + p*q(l).
2*l + 1
Let b(c) = -5*c + 11. Let m(k) = 2*k - 5. Let o(z) = 23*z**3 + 11*z**2 + 15*z + 14. Let s be o(-1). Give s*m(l) - 6*b(l).
4*l - 1
Let p(u) be the third derivative of -5*u**4/12 - 2*u**3 - 8025*u**2. Let j(g) = -13*g - 8. Let s(t) = t. Let x(w) = j(w) + 6*s(w). Determine -5*p(i) + 7*x(i).
i + 4
Let g(t) = 167*t + 22. Let z(m) = 177*m + 23. Determine 3*g(f) - 4*z(f).
-207*f - 26
Let k(y) = 7*y + 6. Let l(g) be the first derivative of -7*g**2/2 - 5*g + 2719. Give -2*k(z) - 3*l(z).
7*z + 3
Let r(u) be the first derivative of 2*u + 206 + 1/2*u**2. Let i(z) = 1 - 4 + 0. Calculate -2*i(l) - 3*r(l).
-3*l
Let f = 456 + -320. Let w(n) = 7*n**3 - 142*n - f*n - 4 + 274*n - 4*n**2. Let j(u) = -u**3 + u**2 + u + 1. Determine 4*j(z) + w(z).
3*z**3
Let n(h) = -8*h**2 + 87*h + 16. Let v(y) = -y**2 + y + 2. Give -n(x) + 6*v(x).
2*x**2 - 81*x - 4
Let r(j) = j**2 - 2*j - 3. Let l(p) = -281*p. Let i(b) = 282*b + 1. Let s(w) = -i(w) - l(w). Let t(g) = g + 1. Let f be t(-7). Calculate f*s(d) + 2*r(d).
2*d**2 + 2*d
Let r(m) = m**3 - 13*m**2 + 21*m + 13. Let y be r(11). Let x(h) = 29*h**2 - 76*h**2 + 3*h**3 + 45*h**y. Let n(s) = -65*s**3 + 45*s**2. What is 2*n(w) + 45*x(w)?
5*w**3
Let z(t) = -t**2 - t + 1. Let m(s) = -9*s**2 - 5*s + 5. Let v = -37 + 56. Suppose -8*q + 5 + v = 0. Suppose q*u + 13 = 10. Calculate u*m(a) + 5*z(a).
4*a**2
Let s(c) = 5*c**3 - 13*c**2 - 7*c + 14. Let f(a) = 5*a**3 - 12*a**2 - 8*a + 17. What is -4*f(t) + 5*s(t)?
5*t**3 - 17*t**2 - 3*t + 2
Let s(w) be the third derivative of -w**4/12 + 25*w**3/3 + 4*w**2 - 165. Let n(g) = 2*g - 51. Determine 5*n(x) + 6*s(x).
-2*x + 45
Let w be (-355)/(-35) + 6/(-42). Let a be (w/25 - (-2)/(-5)) + 5. Let v(s) = 4*s**2 + 3*s + 2. Let b(z) = -z**2 - z. Calculate a*b(c) + v(c).
-c**2 - 2*c + 2
Let v(t) = -4*t**3 - 3*t**2 - 3*t - 3. Suppose 3*r + 68 = -2*g + 74, -r - 11 = 5*g. Let q(z) = 4*z**3 + 2*z**2 + 2*z + 2. What is g*q(a) - 2*v(a)?
-4*a**3
Let j(v) = -15*v**2 - 45*v + 54. Let r(g) = 26*g**2 + 75*g - 90. What is -12*j(y) - 7*r(y)?
-2*y**2 + 15*y - 18
Let o(d) = | {
"pile_set_name": "DM Mathematics"
} |
plify 4*(((-3*(-1 + sqrt(108)))**2 - sqrt(108) - sqrt(108)) + (-1 + sqrt(108) + sqrt(108) + -4)**2) + 4.
-960*sqrt(3) + 5756
Simplify (-1*sqrt(18) + -5 + sqrt(18) - (0 + sqrt(2178)) - ((sqrt(108)*-3)/sqrt(6) + -1))**2.
192*sqrt(2) + 1168
Simplify -2*(((-1 + sqrt(125))*1)**2 + (sqrt(125) + -1*sqrt(125) - sqrt(125))**2*-5 + -4).
20*sqrt(5) + 1006
Simplify (4 + sqrt(272) + -2*sqrt(272) + (-3*sqrt(170))/sqrt(10))*-2.
-8 + 14*sqrt(17)
Simplify ((sqrt(91) - sqrt(91)*-1)*1)/(sqrt(14)/(sqrt(14)/sqrt(7))).
2*sqrt(13)
Simplify 2 + ((4*(1*sqrt(25) - sqrt(25)) + sqrt(25))/(-5*sqrt(40)/sqrt(8)))**2.
11/5
Simplify (sqrt(175) - (-3 + 1*sqrt(175)))**2 - ((sqrt(175) - (sqrt(175) + 3)) + 4)**2.
8
Simplify ((sqrt(1700) - 2*(sqrt(1700) + 1) - (0 + sqrt(1700))*-6) + (sqrt(1700) - (-4 + sqrt(1700) + 1*sqrt(1700))) + 1)**2.
240*sqrt(17) + 27209
Simplify -4 + (-1 + sqrt(833) + -1)**2 + 5 + (0 + sqrt(833)*-2 - -3*(-2*sqrt(833))**2).
-42*sqrt(17) + 10834
Simplify (-1*(sqrt(304) - (sqrt(304) + sqrt(304) + (1*sqrt(304) - sqrt(304)))*6 - sqrt(304))*-5)**2 + -3.
1094397
Simplify 1 + (((sqrt(22) + (-1*sqrt(22) - sqrt(22)))*-4)/(sqrt(539) - (-1*sqrt(539) - sqrt(539))))**2 + 5 + 2.
3560/441
Simplify ((5*sqrt(429)/sqrt(539))/(-2*sqrt(36)/(sqrt(12) + sqrt(60)/sqrt(5))))**2.
325/49
Simplify -3*(sqrt(9)/(-1*sqrt(3)) - sqrt(21)/(-1*sqrt(7)) - (sqrt(75)*2 + sqrt(3) + -5)).
-15 + 33*sqrt(3)
Simplify (-5*(2*(sqrt(272) - (sqrt(272) + (sqrt(272) - sqrt(272)*-3))*1 - sqrt(272)) + -5) + -4)**2.
8400*sqrt(17) + 680441
Simplify (-3 + (sqrt(99)*-1*-5 - -3*(sqrt(99) - (sqrt(99) - -2*sqrt(99) - sqrt(99))))**2)*-5 + 5.
-1960
Simplify 3 + (2*sqrt(672) + sqrt(168)*1)/(-2*sqrt(54) - sqrt(48)/(sqrt(16)/sqrt(2))).
-10*sqrt(7)/7 + 3
Simplify (sqrt(70)/sqrt(360) - (3 + sqrt(700)) - (sqrt(448) + -1 + sqrt(7) - sqrt(7) - sqrt(14)/(sqrt(8) + sqrt(2))))**2.
70*sqrt(7) + 8591/4
Simplify 4*(3 + (sqrt(1088) + 2)**2*-4).
-17460 - 512*sqrt(17)
Simplify -2*(sqrt(605)*-3*-4 + 2)**2.
-174248 - 1056*sqrt(5)
Simplify sqrt(539) + (sqrt(539) - (sqrt(539) + (-3 + sqrt(539)*-4 - sqrt(539)) + sqrt(539)) - sqrt(539))**2 + 2*(-3 + sqrt(539))**2 + 0.
49*sqrt(11) + 5956
Simplify -3*((-2 + -1 + sqrt(1377) - 1*(sqrt(1377) + (sqrt(1377) - (sqrt(1377) - (sqrt(1377)*4 - sqrt(1377)))))) + 3)**2.
-37179
Simplify -4*-6*(sqrt(34)/sqrt(2) + 4)**2 - ((-2*sqrt(119) + sqrt(119) + sqrt(119) + sqrt(119) - sqrt(119))/sqrt(7) - ((-1*sqrt(170))/sqrt(10))**2).
192*sqrt(17) + 809
Simplify (sqrt(48)/sqrt(12)*5)/(-6*sqrt(32)).
-5*sqrt(2)/24
Simplify (-3 + sqrt(1584))*3 - ((4 + sqrt(1584))*-3 - sqrt(1584))**2.
-25497 - 1116*sqrt(11)
Simplify (sqrt(2904)*-2 - sqrt(2904) - sqrt(48)/sqrt(8))/(-3*(sqrt(972) + -2*sqrt(972)) - sqrt(972) - sqrt(972)).
-67*sqrt(2)/18
Simplify (sqrt(39)*-1*-1 + (2*sqrt(312))/sqrt(8))/(sqrt(6)/(sqrt(6)/sqrt(3))*1)*4.
12*sqrt(13)
Simplify (1*sqrt(190)*4*-1)/(5*sqrt(490)*-2).
2*sqrt(19)/35
Simplify -5*2*sqrt(19)*1 + 6*(sqrt(19) + -1 + 1).
-4*sqrt(19)
Simplify (-5*(sqrt(68) - -1*sqrt(68)))/((sqrt(12) + sqrt(24)/sqrt(2))/sqrt(3)) + -4*sqrt(187)/(sqrt(176) - (sqrt(176) + sqrt(176) + sqrt(176)*2 + sqrt(176))).
-19*sqrt(17)/4
Simplify ((sqrt(132) + 3*(sqrt(132) - 2*sqrt(132)))*2)/(-6*(-1*sqrt(768) - sqrt(768)) + sqrt(768)).
-sqrt(11)/26
Simplify -2*sqrt(30)/sqrt(250) + 3*sqrt(432)*-1.
-182*sqrt(3)/5
Simplify -6*(6*(sqrt(2268) + (1*sqrt(2268) - sqrt(2268))))/(6*(sqrt(324) - -1*sqrt(324))).
-3*sqrt(7)
Simplify (4 + ((-2 + 4 + sqrt(19))**2 - sqrt(19)) + 3*sqrt(19)*3)*1.
27 + 12*sqrt(19)
Simplify -4*(-3 + sqrt(512) + (sqrt(56) - (sqrt(1400) + sqrt(56)))/sqrt(7)).
-24*sqrt(2) + 12
Simplify (sqrt(88)*-2*2 + sqrt(88))/sqrt(8) - sqrt(77)/((sqrt(42) + sqrt(672) - sqrt(42))/sqrt(6)).
-13*sqrt(11)/4
Simplify -1 + sqrt(26)/sqrt(200) - (2 + -1*sqrt(832)).
-3 + 81*sqrt(13)/10
Simplify ((sqrt(170)*-1)/sqrt(10) + sqrt(17) - sqrt(17) - (sqrt(1377) + sqrt(1377)*2) - (3 + sqrt(17)*2*2))**2.
192*sqrt(17) + 17417
Simplify (-3 + 4*((sqrt(304) - (3*sqrt(304) + sqrt(304) + -1)) + 1 + sqrt(304)*2))**2.
-160*sqrt(19) + 4889
Simplify ((sqrt(198) - (sqrt(198)*-3 + sqrt(198)))/sqrt(9)*-5)/(6*sqrt(8)/sqrt(4)*5).
-sqrt(11)/2
Simplify 4 + ((sqrt(114) + -2*sqrt(114) + sqrt(114))*-1)/(sqrt(54)*-1)*6 + -4.
0
Simplify 5*(sqrt(7)*-1)**2 + -4 + (sqrt(567) + (sqrt(567) - (sqrt(567) + 1) - sqrt(567))**2 + sqrt(567) + -1 + sqrt(567) - sqrt(567)).
36*sqrt(7) + 598
Simplify (sqrt(66)/sqrt(147))/(sqrt(99)/sqrt(225)).
5*sqrt(2)/7
Simplify ((5*(sqrt(132) + -2*-1*sqrt(132)))/(-3*2*sqrt(1728)))**2.
275/576
Simplify (1*sqrt(121)*-3)/((-3*sqrt(121))/sqrt(11)) + -3.
-3 + sqrt(11)
Simplify 6*(3*2*(sqrt(832) + (sqrt(832) - (sqrt(832) + 0 + sqrt(832))) + sqrt(832)))**2*6.
1078272
Simplify (sqrt(2058)*2)/(sqrt(864) + (sqrt(864) + sqrt(864) + -1*sqrt(864) - sqrt(864)) + sqrt(864))*2.
7*sqrt(7)/6
Simplify (-2 + -5 + -4*sqrt(200))**2.
560*sqrt(2) + 3249
Simplify -4*((sqrt(2299) + 2*sqrt(2299)*-1)**2 + 1)*1.
-9200
Simplify (-5*(1 + sqrt(171)))**2 - ((sqrt(19) + -2)*-3 - (sqrt(19) - (-1 + sqrt(19) + 0))).
153*sqrt(19) + 4295
Simplify 3*((sqrt(13) - sqrt(13)*2*-1)**2*1 + (sqrt(117) + 5)**2 + (sqrt(832) + 0)**2)*-4.
-13092 - 360*sqrt(13)
Simplify ((sqrt(234)/sqrt(6))/sqrt(3) - sqrt(104)/(sqrt(24)/sqrt(3)))*-6.
0
Simplify (sqrt(320) - (sqrt(320) - (sqrt(320) + 2*sqrt(320) + -1)) - sqrt(320) - ((sqrt(320) + -1)*-3 - sqrt(320)))**2 - (-1*sqrt(90))/(sqrt(2)*-2*-2).
-1533*sqrt(5)/4 + 11536
Simplify ((sqrt(3) - 1*sqrt(147)) + -4)**2 + (-2*sqrt(243))**2*-5.
-4736 + 48*sqrt(3)
Simplify (-3 + (sqrt(49) + (sqrt(49) - -3*4*sqrt(49)))/sqrt(7) + -1)**2*-6.
-8328 + 672*sqrt(7)
Simplify (-5 + ((sqrt(208) + -3)*-4 + sqrt(208) - sqrt(208)))**2 - 6*(sqrt(208) + 1 + -3*sqrt(208)).
-176*sqrt(13) + 3371
Simplify (2*sqrt(7)*1 + (0 + sqrt(175) - sqrt(7)) - (-4 + sqrt(7)*-2 + (sqrt(28) - sqrt(7)) + -2)**2)*6*4.
-1032 - 144*sqrt(7)
Simplify 4 + 6*(sqrt(60)/(sqrt(8)/sqrt(4)))/(sqrt(490) - -3*sqrt(490)).
3*sqrt(3)/14 + 4
Simplify (-3*(2 + 5*(sqrt(5) + sqrt(5) + 1) + sqrt(5) + sqrt(5) + 4 + 2))**2.
2808*sqrt(5) + 8001
Simplify -4*(2 + sqrt(13) + 1) - 4*(1 + sqrt(13) + -1).
-8*sqrt(13) - 12
Simplify ((6*-5*sqrt(45))**2 + -4*sqrt(245)*-1)*1.
28*sqrt(5) + 40500
Simplify (sqrt(133) - 1*sqrt(133)*6 - sqrt(133))/(sqrt(21)/(sqrt(3)*6)).
-36*sqrt(19)
Simplify 4 + (6*sqrt(136)*-2 - sqrt(136))/sqrt(8) + (6*(0 + sqrt(1700)) + -4)**2.
-493*sqrt(17) + 61220
Simplify ((5 + 1 + sqrt(99))**2 + sqrt(99) - ((-2*sqrt(44))**2 + -3))*2.
-76 + 78*sqrt(11)
Simplify ((sqrt(480) + (1*sqrt(480) + sqrt(480))*1)/sqrt(12))/(((sqrt(64)*2 + sqrt(64))*1 - sqrt(64))/sqrt(8)).
3*sqrt(5)/2
Simplify -4 + 0 + -3 + 3 + sqrt(720) + 1.
-3 + 12*sqrt(5)
Simplify 1*(((0 + sqrt(1216))*2)**2 - sqrt(1216) - (-4 + 0 + sqrt(1216))**2 - (-6*(sqrt(1216) + 3*sqrt(1216)*2))**2).
-2141392 + 56*sqrt(19)
Simplify 3 + ((sqrt(22) - sqrt(220)/(sqrt(20)/sqrt(2)))/(sqrt(539) - sqrt(539)*2))**2.
3
Simplify (-3 + (sqrt(700) + 1 + -3 - -1*sqrt(28)*4))**2.
-180*sqrt(7) + 2293
Simplify -1*(3 + (sqrt(2448) - 3*(1*sqrt(2448))**2 - (3 + sqrt(2448) + 1)**2)) + -4.
84*sqrt(17) + 9801
Simplify ((sqrt(2106) - (sqrt(2106) - 1*sqrt(2106))*-5)/((1*sqrt(14))/sqrt(7) - (sqrt(2)*-2 + sqrt(2) + sqrt(2))*-6))**2.
1053
Simplify (-6*sqrt(99)*-4*5)/(sqrt(18)/(sqrt(18)*4)).
1440*sqrt(11)
Simplify 2 + -6*((sqrt(77)/((sqrt(44)/sqrt(4) + sqrt(11))*-3))**2 + (-1*-1*sqrt(28))/sqrt(4)).
-6*sqrt(7) + 5/6
Simplify (-5 + ((sqrt(300)*-2 + sqrt(300))*-4 - sqrt(300))*1 + -5)**2.
-600*sqrt(3) + 2800
Simplify ((-1*sqrt(65) + sqrt(65))*-1 - (4*(sqrt(65)*1 - sqrt(65)) + sqrt(65)))/(sqrt(720) - (sqrt(720) - 6*1*sqrt(720))).
-sqrt(13)/72
Simplify -1*(((sqrt(27) - sqrt(243)*-5) + sqrt(54)/(sqrt(2) + sqrt(6)/sqrt(3)))/((1*sqrt(108))/sqrt(12) + (sqrt(126)/sqrt(2))/sqrt(7)))**2.
-3267/16
Simplify 2*-1*((sqrt(325) + 0 + sqrt(325) + sqrt(325) + sqrt(325))*2)**2*-3.
124800
Simplify sqrt(80)/sqrt(4)*4 + 2 - -1*(sqrt(80))**2*-5.
-398 + 8*sqrt(5)
Simplify (-1 + -1 + sqrt(19)*4 + 6*(sqrt(19)*1 - sqrt(19)) + sqrt(19))*4*4.
-32 + 80*sqrt(19)
Simplify sqrt(288) + 0 + (sqrt(2)*2)**2 + 3 + (2*sqrt(2)*1 - (sqrt(10)/(sqrt(5)*2) + sqrt(2))).
11 + 25*sqrt(2)/2
Simplify ((-2*(sqrt(2662) - (sqrt(2662) + (sqrt(2662)*-1 - sqrt(2662)))) + sqrt(2662))/((sqrt(99)*2 + sqrt(99))*-6))**2.
121/162
Simplify 3 + ((2 + sqrt(11)*-2)**2*6 - ((sqrt | {
"pile_set_name": "DM Mathematics"
} |
- 1. What is b(-9)?
-46
Let t(b) = b**3 - 5*b**2 + 4*b + 3. What is t(4)?
3
Let f(m) = -m**2 + 8*m + 1. Determine f(7).
8
Let k(h) = 35*h - 141. Give k(4).
-1
Let f(v) = -v**3 + 9*v**2 - 7*v - 9. Determine f(7).
40
Let r(t) = -10*t + 62. What is r(6)?
2
Let x(h) = -h**3 - 19*h**2 + 2*h + 45. Calculate x(-19).
7
Let n(a) = 5*a**2 + 15. Determine n(-5).
140
Let s(g) = 2*g**2 - 7*g + 8. Calculate s(4).
12
Let n(q) = -q**3 + 3*q**2 + 8*q - 3. Give n(5).
-13
Let z(j) = j**3 - 7*j**2 + 3. What is z(7)?
3
Let v(m) = 3*m**2 + 82*m + 17. What is v(-27)?
-10
Let v(l) = -2*l**3 - 19*l**2 - 5*l + 31. Give v(-9).
-5
Let j(z) = z - 2. Determine j(-6).
-8
Let z(d) = 5*d**3 + 2*d**2 + d. Determine z(-1).
-4
Let t(w) = w**3 - 2*w + 1. What is t(-2)?
-3
Let j(p) = -4*p**2 + 15*p - 1. What is j(4)?
-5
Let s(b) = -b + 5. Calculate s(8).
-3
Let j(i) = -i**3 + 9*i**2 - 3*i - 20. Determine j(6).
70
Let i(j) = -3*j**2 + 18*j - 39. Calculate i(4).
-15
Let d(q) = -33*q - 198. Calculate d(-6).
0
Let c(v) = 2*v**2 + 46*v + 39. Calculate c(-22).
-5
Let h(r) = -r**2 + 10*r - 7. Determine h(8).
9
Let k(j) = -40*j**2 + 84*j - 7. Give k(2).
1
Let c(g) = -g**2 - 13*g - 16. Give c(-11).
6
Let i(c) = -4*c**2 - 7*c - 8. Calculate i(-2).
-10
Let v(r) = -5*r + 218. Give v(39).
23
Let w(q) = -15*q**3 - q**2 - 1. Calculate w(-1).
13
Let d(b) = -b**2 - 7*b - 10. What is d(-6)?
-4
Let g(k) = k**2 - 6*k - 3. What is g(7)?
4
Let q(n) = 16*n**2 + 2*n. Determine q(-1).
14
Let u(p) = p**2 - 9*p - 18. Give u(11).
4
Let f(q) = 14*q + 96. Give f(-8).
-16
Let b(w) = w**3 - 3*w**2 - 11*w - 6. Give b(-4).
-74
Let c(q) = 2*q - 37. Determine c(18).
-1
Let f(y) = -y**2 + 22*y - 21. Determine f(21).
0
Let o(n) = -6*n - 22. Give o(14).
-106
Let v(t) = -t**3 - 11*t**2 + t - 5. Calculate v(-11).
-16
Let u(h) = 2*h + 29. What is u(-15)?
-1
Let m(b) = -b**2 + 10*b - 9. What is m(6)?
15
Let t(q) = 3*q**2 - q + 6. Calculate t(3).
30
Let w(f) = f**2 + 2*f - 3. Determine w(3).
12
Let n(j) = 4*j - 5. What is n(2)?
3
Let w(n) = -n**3 + 38*n**2 + n - 4. Determine w(0).
-4
Let y(d) = d - 55. What is y(13)?
-42
Let b(c) = c**3 + 6*c**2 - 3*c + 2. Determine b(-6).
20
Let s(o) = -o**2 + 20*o - 79. Give s(14).
5
Let j(u) = -u**3 + 9*u**2 + 9*u. What is j(10)?
-10
Let j(y) = 2*y + 27. Give j(-10).
7
Let p(a) = a**2 - 14*a + 1. Determine p(10).
-39
Let a(f) = -14*f + 76. What is a(4)?
20
Let h(o) = o**2 + 8*o + 12. Calculate h(-6).
0
Let g(q) = q**3 - 4*q**2 + 2*q - 21. Calculate g(4).
-13
Let m(y) = -4*y - 8. Determine m(-6).
16
Let v(t) = -11*t**3 + 2*t**2 - 4*t + 3. Determine v(2).
-85
Let d(s) = s + 17. Determine d(-4).
13
Let j(u) = 16*u - 200. Give j(13).
8
Let w(f) = -f**2 - 17*f + 14. What is w(-14)?
56
Let b(n) = -n - 27. Determine b(-5).
-22
Let x(l) = -l + 13. What is x(-3)?
16
Let c(d) = d**3 + 6*d**2 - 11*d + 1. Give c(-8).
-39
Let x(j) = -j**2 + 3*j + 8. Give x(4).
4
Let f(w) = 2*w**3 - 19*w**2 + 10*w - 4. Determine f(9).
5
Let l(i) = -i**3 + 11*i**2 - 2*i - 11. Determine l(5).
129
Let z(k) = 2*k**2 - 3*k. What is z(0)?
0
Let t(y) = -y - 3. Calculate t(-9).
6
Let x(w) = 2*w**3 + 2*w**2 + 2*w. Calculate x(-2).
-12
Let b(r) = -110*r + 325. Determine b(3).
-5
Let q(p) = 3*p - 12. What is q(-7)?
-33
Let w(s) = -s**2 + 5*s + 18. Determine w(8).
-6
Let q(o) = 3*o**2 + 4*o + 9. What is q(-3)?
24
Let w(k) = -26*k - 22. Give w(-1).
4
Let m(k) = -k**2 - k + 1. Give m(-3).
-5
Let m(c) = 99*c - 1196. Calculate m(12).
-8
Let z(h) = -6*h - 60. Give z(-6).
-24
Let v(x) = x**3 + 3*x**2 - 5*x. Determine v(-5).
-25
Let k(u) = 10*u - 9. Determine k(3).
21
Let z(k) = k**2 + 52*k + 134. What is z(-49)?
-13
Let v(z) = 2*z**2 + 27*z + 78. Calculate v(-8).
-10
Let x(d) = -9*d**3 - 2*d**2 + 2*d - 2. Give x(2).
-78
Let p(c) = -c**2 + 19*c + 48. Give p(22).
-18
Let x(h) = 57*h + 162. Calculate x(-4).
-66
Let x(n) = 52*n + 58. What is x(-1)?
6
Let k(h) = h**2 - 11*h + 2. Determine k(13).
28
Let i(r) = -2*r**2 + 61*r - 394. Give i(21).
5
Let h(f) = -35*f - 24. Give h(-1).
11
Let u(d) = -d**2 + 22*d + 22. Give u(9).
139
Let c(x) = -x**3 - 4*x**2 + 14*x + 10. Calculate c(-6).
-2
Let c(g) = -5*g + 1. Calculate c(-5).
26
Let p(h) = h**2 + 8*h - 28. Determine p(-9).
-19
Let a(m) = -m**2 + 11*m - 8. Calculate a(9).
10
Let n(j) = -25*j - 25. Determine n(-4).
75
Let n(h) = -24*h + 186. Determine n(8).
-6
Let y(x) = x**3 - 16*x**2 + 25*x + 32. Determine y(14).
-10
Let m(i) = -i**3 + 10*i**2 + i - 18. Determine m(10).
-8
Let m(d) = 3*d + 47. Determine m(-20).
-13
Let r(t) = -t**3 - 8*t**2 + 10*t + 13. What is r(-9)?
4
Let y(l) = l**2 + 4*l + 3. What is y(-4)?
3
Let f(x) = -2*x + 12. Give f(6).
0
Let r(t) = 3*t**3 + 6*t**2 + 2. Determine r(-2).
2
Let z(t) = -2*t**3 + 25*t**2 + 13*t + 10. Give z(13).
10
Let t(x) = 2*x**2 - 43*x + 38. Give t(22).
60
Let f(z) = z**2 - 12*z + 4. Calculate f(14).
32
Let q(d) = 11*d**2 - d - 3. What is q(2)?
39
Let z(s) = s**3 + 19*s**2 - 24*s - 75. Determine z(-20).
5
Let g(i) = 2*i**2 - 8*i - 2. Give g(6).
22
Let x(b) = -b**2 - 2*b - 7. Give x(-3).
-10
Let z(m) = -25*m + 44. Give z(2).
-6
Let f(q) = q**2 - 8*q + 22. Calculate f(3).
7
Let y(u) = u**3 + 4*u**2 + u - 17. Calculate y(-4).
-21
Let h(o) = o**3 + 13*o**2 - 31*o - 15. Calculate h(-15).
0
Let h(d) = d**2 - 7*d - 2. Calculate h(8).
6
Let c(f) = f**2 + 2*f - 35. Calculate c(-8).
13
Let s(o) = -o**2 + 2*o - 2. Determine s(0).
-2
Let b(d) = d**3 - 11*d**2 - 6*d + 2. Determine b(11).
-64
Let t(q) = -q**3 - 2*q**2 + 2*q - 5. Calculate t(-4).
19
Let c(h) = -2*h - 14. Give c(-7).
0
Let y(i) = i**3 - 3*i**2 - 4*i - 1. Determine y(-3).
-43
Let u(m) = m**3 - 3*m**2 - 5*m + 1. What is u(4)?
-3
Let p(b) = b**2 + 12*b - 5. Give p(-11).
-16
Let j(o) = -o**3 - 40*o**2 + 45*o + 171. Give j(-41).
7
Let r(b) = 9*b**2 + b. Determine r(1).
10
Let q(x) = -3*x + 5. What is q(4)?
-7
Let b(i) = -5*i + 1. Give b(-1).
6
Let r(i) = -4*i**2 + 136*i + 4. Calculate r(34).
4
Let f(g) = 3*g**2 + 6*g - 62. What is f(4)?
10
Let a(f) = -5*f**2 - 95*f. Determine a(-19).
0
Let u(m) = m - 23. Give u(9).
-14
Let v(j) = j**3 - j**2 - 3*j + 3. What is v(2)?
1
Let z(n) = 133*n + 671. Calculate z(-5).
6
Let n(f) = f**3 + 8*f**2 - 18*f + 14. What is n(-10)?
-6
Let o(m) = 2*m**2 + 84*m + 90. What is o(-41)?
8
Let t(n) = -2*n**2 - 11*n. What is t(-8)?
-40
Let m(f) = f**2 + 3. Give m(3).
12
Let d(n) = -n - 12. Determine d(-4).
-8
Let j(y) = -y**2 + y + 54. Give j(8).
-2
Let s(v) = 20*v + 133. What is s(-7)?
-7
Let r(a) = -2*a + 32. Give r(-8).
48
Let a(m) = -18*m - 2. Determine a(-4).
70
Let i(o) = o**2 + o - 8. Calculate i(4).
12
Let q(x) = x + 3. Calculate q(7).
10
Let s(t) = 2*t**2 + 10*t + 9. Give s(-6).
21
Let q(p) = -p**3 - 13*p**2 - 24*p - 16. Give q(-11).
6
Let c(o) = o**2 + 17*o + 43. Determine c(-15).
13
Let m(o) = -5*o + 81. Calculate m(15).
6
Let j(y) = -3*y + 3. Determine j(2).
-3
Let r(t) = -t**3 - 9*t**2 + 10*t + 2. Determine r(-10).
2
Let n(g) = -3*g. What is n(-6)?
18
Let x(l) = l**2 + 69*l + 731. Determine x(-56).
3
Let l(r) = r**3 - 7*r**2 + 5*r - 4. Determine l(6).
-10
Let f(b) = 2*b + 1. Determine f(-3).
-5
Let x(y) = -y**2 + 5*y - 7. What is x(4)?
-3
Let c(w) = -2*w**2 - 13*w + 14. What is c(-7)?
7
Let w(k) = k**3 + k**2 + 8*k + 23. What is w(-2)?
3
Let o(v) = -64*v + 410. Determine o(6).
26
Let z(y) = -y**3 - 2*y**2 + 24*y - 6. Determine z(4).
-6
Let c(n) = -5*n**2. What is c(2)?
-20
Let t(g) = -g**3 - 6*g**2 - 11*g - 10. Determine t(-4).
2
Let g(b) = -b**3 + 15*b**2 - 7*b - 45. Calculate g(14).
53
Let d(i) = -i**2 - 6*i. Calculate d(-3).
9
Let b(d) = -3*d - 102. Give b(-39).
15
Let k(f) = f**3 - 5*f**2 - 14*f + 33. Determine k(6).
-15
Let t(i) = -i**3 - 7*i**2 - 5*i - 7. Determine t(-5).
-32
Let p(s) = -5*s - 43. What is p(-8)?
-3
Let j(f) = f**2 - 7*f - 3. Determine j(5).
-13
Let b(m) = m**3 - m**2 - 5. Calculate b(0).
-5
Let l(v) = -3*v**2 + v + 6. Give l(3).
-18
Let j(b) = -2*b**2 + 63*b - 30. Give j(31).
1
Let f(h) = h**2 - 18*h + 5. What is f(17)?
-12
Let g(m) = 9*m + 36. Give g(-4).
0
Let g(d) = -2*d**2 - 6*d - 6. What is g(-3)?
-6
Let s(o) = -3*o**2 - 32*o + 3. Determine s(-10).
23
Let u(t) = -43*t**2 - 15*t - 2. Determine u(-1).
-30
Let b(g) = -8*g - 191. What is b(-27)?
25
Let f(y) = -3*y**2. Determine f(-1).
-3
Let c(g) = -g**2 - 6*g + 20. What is c(-9)?
-7
Let u(g) | {
"pile_set_name": "DM Mathematics"
} |
base 8, what is -11 - 52400261?
-52400272
In base 13, what is -5305b - c4?
-53152
In base 14, what is -200d - -4?
-2009
In base 2, what is 11 + 1001001011011100010010?
1001001011011100010101
In base 7, what is 303 - 130101506?
-130101203
In base 5, what is -4 + -2424133140?
-2424133144
In base 6, what is -31213 - -24115?
-3054
In base 12, what is -1 - 71498b7?
-71498b8
In base 8, what is 1 - -63327244?
63327245
In base 9, what is 4206 + 11805?
16112
In base 3, what is 20000112 - 122011202?
-102011020
In base 16, what is -521 + 52b8?
4d97
In base 4, what is 100100333 - -20123?
100121122
In base 2, what is 1000 + -100111100000100001110101?
-100111100000100001101101
In base 15, what is -2957a - 1b6?
-29741
In base 9, what is -125 + -55530?
-55655
In base 4, what is -13332 - 100021001?
-100100333
In base 11, what is -1a81 + 837?
-1245
In base 12, what is -5 - -1670412?
1670409
In base 11, what is 2 - -67536294?
67536296
In base 10, what is 159967 - 1?
159966
In base 9, what is 1634171 + 40?
1634221
In base 6, what is -14225424002 + 4?
-14225423554
In base 9, what is -36 + 287324?
287277
In base 15, what is -77d64 - 18b?
-78000
In base 16, what is -436f6 - 0?
-436f6
In base 11, what is 11a36337 - -15?
11a36351
In base 16, what is c2e1b + -12?
c2e09
In base 3, what is -22 + 2002101221210101?
2002101221210002
In base 7, what is 2236312154 - 3?
2236312151
In base 12, what is -78954 + -21?
-78975
In base 14, what is 110c898 + -32?
110c866
In base 12, what is 5 + 3750640?
3750645
In base 15, what is d7283 + 3c8?
d765b
In base 4, what is 200110 - 1210202?
-1010032
In base 4, what is -11 - -12301022121?
12301022110
In base 14, what is 2d5214 + -1a?
2d51d8
In base 13, what is -9aaa8c93 + 5?
-9aaa8c8b
In base 5, what is 4110 - -2342?
12002
In base 2, what is 101100000100000100100011 - -111101?
101100000100000101100000
In base 14, what is 16b9 - 944d?
-7b74
In base 13, what is -184711 + -30?
-184741
In base 12, what is 385b7 - 6355?
32262
In base 9, what is -72534 - -118?
-72415
In base 16, what is 2111 - -12b?
223c
In base 6, what is 2455 + -311434?
-304535
In base 16, what is b27 + 4c8c?
57b3
In base 7, what is 131552 - 321?
131231
In base 15, what is -e3 + -6440?
-6533
In base 16, what is 38c502 - -3f?
38c541
In base 12, what is 630ab9 - 13?
630aa6
In base 15, what is -3652 - -a1?
-35a1
In base 8, what is 220 + 46336?
46556
In base 13, what is -2cb72 + 12c?
-2ca43
In base 3, what is -2202122 + -10202202120?
-10212112012
In base 2, what is -101 - 10110010010000110010010?
-10110010010000110010111
In base 15, what is 4d + 1aa90?
1aadd
In base 3, what is 10000210102020211 - 0?
10000210102020211
In base 14, what is -3 + 31b5b87?
31b5b84
In base 4, what is 1131 - 22330322002?
-22330320211
In base 5, what is -13421401 - 114134?
-14041040
In base 8, what is 3475 + 2110?
5605
In base 16, what is -267398 + 0?
-267398
In base 15, what is -6 + -166b68?
-166b6e
In base 9, what is -40854811 + -4?
-40854815
In base 11, what is -40a505 + -a?
-40a514
In base 16, what is -17 + 15113?
150fc
In base 13, what is -4c5b35c - -1?
-4c5b35b
In base 9, what is -3 - -125120270?
125120266
In base 9, what is -10218447 + 6?
-10218441
In base 8, what is 316260 - 711?
315347
In base 8, what is -5300615 + -573?
-5301410
In base 16, what is 150c - 1c0?
134c
In base 7, what is 212653 + -243?
212410
In base 7, what is 5006 - -565?
5604
In base 9, what is -10248 + -423?
-10672
In base 14, what is b582 + 75?
b617
In base 9, what is -7658 + 5057?
-2601
In base 3, what is -10 + -110102122010?
-110102122020
In base 16, what is 13 - 5e88f?
-5e87c
In base 11, what is -5 - -2459a67?
2459a62
In base 11, what is -138 - 35419?
-35556
In base 4, what is 23303301011303 - -11?
23303301011320
In base 9, what is -835718 + -4?
-835723
In base 15, what is -4a - -9075?
902a
In base 13, what is 1 + -26b9678?
-26b9677
In base 2, what is 101100011 + 101101010110?
110010111001
In base 10, what is 259 + -12541?
-12282
In base 13, what is 11a81434 - 0?
11a81434
In base 6, what is -2012322230 - 3?
-2012322233
In base 2, what is 10111100000 - -10000111100111000?
10001010100011000
In base 3, what is 201210 + -101101222?
-100200012
In base 13, what is -113104c + c3?
-1130c59
In base 3, what is -11020021112200112 + 100?
-11020021112200012
In base 13, what is 8772a5 + 4?
8772a9
In base 9, what is -455082 + 11?
-455071
In base 13, what is 221 + -22074?
-21b53
In base 7, what is 5 + 21265252?
21265260
In base 2, what is 1001 + 11000010100000101?
11000010100001110
In base 6, what is 2443554052 - -10?
2443554102
In base 12, what is -5612a6183 - -3?
-5612a6180
In base 2, what is 110010000111011010 - 1100101?
110010000101110101
In base 10, what is 51177 + 83?
51260
In base 16, what is 41443f2 - -12?
4144404
In base 15, what is 8c4d - 8?
8c45
In base 11, what is -6 + -367182?
-367188
In base 10, what is 13 + 472724?
472737
In base 5, what is 1333443 + 302020?
2141013
In base 16, what is -47fb82c - -5?
-47fb827
In base 13, what is 12930a7 - -3?
12930aa
In base 12, what is 48270139 + 5?
48270142
In base 14, what is -30d4547 + 1?
-30d4546
In base 10, what is 2985 - 15643?
-12658
In base 8, what is 1 + -543655614?
-543655613
In base 8, what is 72 + 10342?
10434
In base 7, what is 204 - 1423663?
-1423456
In base 9, what is 17 + -3712856?
-3712838
In base 6, what is 3150431121 + -2?
3150431115
In base 8, what is -6270231 + 434?
-6267575
In base 14, what is -17 + 5723a9?
572392
In base 4, what is -130220202100 + 3?
-130220202031
In base 9, what is 2551 + -30505?
-26844
In base 2, what is 101100011 - -100110111110100?
100111101010111
In base 10, what is -5 - 23711320?
-23711325
In base 7, what is -5 - 431155232?
-431155240
In base 6, what is -2 - 1021503113?
-1021503115
In base 11, what is -503 + 12310a?
122707
In base 4, what is 1302 + 1012310?
1020212
In base 13, what is 4 + -2099bc?
-2099b8
In base 15, what is -50173 + -245?
-503b8
In base 7, what is 51321321 + 0?
51321321
In base 8, what is 17257 + 2314?
21573
In base 16, what is -a1 - -755a?
74b9
In base 11, what is -20 - 1166468?
-1166488
In base 11, what is 8 - -1a177803?
1a177810
In base 14, what is 369 + 798b?
7d16
In base 12, what is 3 - 43b76992?
-43b7698b
In base 6, what is -200413503 + 112?
-200413351
In base 4, what is -103321 - -2020230?
1310303
In base 6, what is -10211025514 - -1?
-10211025513
In base 7, what is -115166 + 156515?
41316
In base 8, what is -265166306 + -4?
-265166312
In base 7, what is -4444 + 1643024?
1635250
In base 16, what is 1d8 + 9bfd3?
9c1ab
In base 13, what is 7047 - -1b63?
8baa
In base 4, what is -233113 - 330222?
-1230001
In base 4, what is 212222021332 - 0?
212222021332
In base 5, what is -1112412144 - 121?
-1112412320
In base 6, what is 332 + -431555?
-431223
In base 2, what is -100011110111011 + 101111011101110?
1011100110011
In base 11, what is -55 + 390844?
39079a
In base 9, what is 32785630 + -4?
32785625
In base 15, what is -54ce + 9b4?
-4a1a
In base 16, what is ba51c6 + 1?
ba51c7
In base 6, what is 11542032 + -4051?
11533541
In base 14, what is -9 + 1b50485?
1b5047a
In base 13, what is 1 + -130b69b7?
-130b69b6
In base 4, what is 10300102003 - -10?
10300102013
In base 7, what is -454 + -61520?
-62304
In base 3, what is -12211022 + 2021012?
-10120010
In base 7, what is 4 - 164665414?
-164665410
In base 2, what is -1100 - 1010110001100000001?
-1010110001100001101
In base 11, what is 1 + 1800267?
1800268
In base 3, what is 120111221 - 102210020?
10201201
In base 3, what is 111012012 - -210201?
111222220
In base 14, what is 16583 + 33b9?
1995c
In base 6, what is -2321 + 503104?
500343
In base 8, what is -70637 - -770?
-67647
In base 7, what is 1006033464 + 1?
1006033465
In base 16, what is -674 - 1ac?
-820
In base 8, what is -1126 - -772?
-134
In base 7, what is 3 + -101445643?
-101445640
In base 3, what is 120110211122001 - 0?
120110211122001
In base 15, what is -799 + -1060?
-1809
In base 15, what is -257c - -1e8?
-2384
In base 8, what is -205674 + 3536?
-202136
In base 3, what is -1021 + -101202221202?
-101210000000
In base 14, what is -32a0b92 - -2?
-32a0b90
In base 14, what is -13 + -54b902?
-54b915
In base 14, what is -28 - 8ba49?
-8ba73
In base 3, what is 11012000212220020 - 12?
11012000212220001
In base 7, what is 4244055 + -10? | {
"pile_set_name": "DM Mathematics"
} |
for f.
4
Let d be ((-7)/2)/(3/(-6)). Let p be 26/d + 16/56. Solve -p*w = -4*n + 4, -4 = -5*n + 16 for w.
3
Let b = 1 - -11. Let p(q) = -q**3 + 3*q**2 + 5*q - 1. Let m be p(4). Solve -m*c = -3*g + b, 0 = -g + 2*c + 8 - 2 for g.
2
Suppose 0 = -3*x + 22 + 29. Solve 7 = 4*l + 4*h - x, 0 = 2*l - 3*h + 8 for l.
2
Let g(o) = -6*o**2 - 2*o + 1. Let b be g(1). Let u = b + 10. Solve 4*n = 2*j, 3*j = u*n - 2*n + 5 for n.
1
Suppose 0 = 2*l - 4*l + 8. Suppose 5*j - 8 = -t, 7*j + 4 = 4*j - 5*t. Suppose -5*u = d + 23 + 2, 4*d = -j*u - 10. Solve 2*o + 5*c - 16 = d, l*o + 3*c = c for o.
-2
Let j(s) = -s**3 + s**2 + 3. Let m = 5 + -5. Let v be j(m). Solve -v*r = 5*h + 30 + 7, 0 = 4*r - 2*h + 6 for r.
-4
Suppose p - 5*p = 2*t - 66, -3*t + 67 = 4*p. Solve 3*o + 2*k + 9 = 0, 4*o + k = -3*k - p for o.
-1
Suppose 3*o = 4*q + 5, -4*o - 3*q + 8*q + 7 = 0. Suppose o*b = b - 2. Let u(v) = -11*v + 1. Let j be u(b). Solve -19 + 4 = 5*f - n, 0 = -4*f - 3*n - j for f.
-3
Let d = -38 - -41. Solve a - d = -3*a - 5*g, 4*a + 2*g - 6 = 0 for a.
2
Let u(m) = -3*m**2 + m + 1. Let o be u(-2). Let l = -8 - o. Solve p - 3*k = -4*k, -3*p - l = 4*k for p.
5
Suppose -5*c + 0*c - 4*y = -18, 4 = -2*c + 4*y. Solve 8 = -4*d - 2*f - 6, c*d + 3*f + 5 = 0 for d.
-4
Suppose -d = -0*d - 2. Suppose -2*x - 8 = 3*r - 7*r, -d*r = -5*x - 12. Let q be 1 - (2/(-2) - r). Solve -3*i - 2*a - 9 = -0*i, -i - q = 2*a for i.
-3
Let f be (-6)/8*(6 + -10). Suppose -f*q - 4 = -19. Solve 3*r + q*a - 7 - 5 = 0, r = -2*a + 5 for r.
-1
Let k = 9 - 4. Suppose -k*n + 2 = -18. Suppose -5*z + 0*p + 3*p + 37 = 0, n*z - p = 24. Solve -4*b + 4 = -l + 1, -2*l + 20 = z*b for b.
2
Suppose u - 7 = -j - j, j + 3*u - 11 = 0. Solve g + q - j = 0, 0*g = -2*g + 5*q - 31 for g.
-3
Suppose 25 = 9*u - 4*u. Solve 0 = 5*k + 5, -10 = u*v + 4*k + 4 for v.
-2
Let u(m) = -5*m - 1. Let o be u(-1). Suppose -15 = -3*r - 3*h, -5*r - 2*h - 3 + 28 = 0. Solve o*j - 3*y = -16, -r*y + 14 = -2*j - 2*y for j.
-1
Suppose 0 = u - 4*c - 10, -5*u = -2*c + 3*c - 8. Suppose 0 = -2*y - u + 8. Suppose y*q = -15 + 54. Solve 3*x = j - q, x + 0*x = -5*j + 1 for x.
-4
Suppose 2*t = 3*q + 20, -t - 2*q + 5 = 2. Let m = 3 - -21. Suppose -4*y = 5*v - m, -4*v - 3*y + 19 = -0*y. Solve -d = 3*d + v*j + 12, -t = -3*d + j for d.
1
Suppose 0 = -4*l + 22 - 6. Let s(f) = -l*f + 1 + 2*f - 5. Let u be s(-3). Solve -4*v - 4 + 0 = b, 0 = -3*b + u*v - 12 for b.
-4
Let v(a) = -3*a - 4. Let o be v(-3). Suppose -o*w + 0*w = -2*g - 70, 4*w = -2*g + 38. Solve 4*i - w = 0, 3*t - 5*i = -6 - 0 for t.
3
Let r = 11 + -3. Suppose 27 + r = -5*l. Let g = -5 - l. Solve 0 = -2*h - 5*p + 19, 3*p - 11 = g*h - 2*p for h.
2
Let h = 6 - 4. Suppose 8*d - 5 = 3*d, 19 = 5*i - d. Solve i*f - 4*u = 24, -h - 2 = 2*u for f.
4
Let t be (1 - -89)/6 + (-1 - -1). Solve -2*d + 9 = -2*w + 5*w, 5*d = -5*w + t for d.
0
Let s(f) = -f + 18. Let m be s(12). Suppose j = m*j. Solve j = -2*q - o + 5, q - 4*o + 2*o - 5 = 0 for q.
3
Let t = -38 - -58. Suppose -5*u = -t, -f = -2*f - 5*u + 25. Suppose 2*y + 4*i + 8 = 4*y, 8 = y - 4*i. Solve -x - 20 = 5*j - 1, y = -f*x + j - 17 for x.
-4
Suppose 5*c = c. Solve c = 4*m + 16, -3*s + s + 4*m + 10 = 0 for s.
-3
Let u = 6 - 1. Let l = u - 3. Solve -6 = -2*d - 0*d + 3*c, 0 = -d + l*c + 3 for d.
3
Suppose -l = -2*h - 8, -12 = l - h - 20. Solve -2*w = 2*t + l, w = 4*t + 6*w + 16 for t.
-4
Let h be (-10)/(-4)*8/10. Suppose -3*b + 0*b = 2*o + 1, h*b + 6 = 0. Solve 3*t - 23 = o*s, -2*s = t + 12 - 3 for t.
1
Let o = -16 + 18. Solve 4*v - 7 - 16 = 3*d, 0 = v - o for d.
-5
Let b(v) = -6*v - 6 + 3 + 2 + 3*v + v**2. Let c be b(4). Solve -c*y - d + 15 = 0, 3*d - 7*d = 5*y - 32 for y.
4
Suppose 0 = -5*o, 51 = 5*l + 3*o + 11. Suppose -4*n + 24 - l = 0. Let f be (2/n*0)/2. Solve -3*x = 0, -8*z + 4*z - x - 20 = f for z.
-5
Suppose p + 4 = 3, -4*w + 24 = 4*p. Solve k + 2 = -4*z, 10 = 2*z - w*z - 5*k for z.
0
Let u be 4/(1*(-1 - -2)). Suppose -k = 3*k + 36. Let s = k - -14. Solve -s*c + 9 = -2*v, -u*c = -3*c + 4*v + 7 for c.
1
Let d(a) = -a**3 + 4*a**2 - 2*a + 5. Let i be d(4). Let j be 3*i*8/(-12). Solve -2*n = 2*x + j, 0*n + 2*n - 9 = x for n.
2
Let d = 9 + -5. Suppose 0*w - 2*s + 97 = 5*w, 0 = -2*s + 2. Let b = -14 + w. Solve -b*g - 3*y = -1, -2*g + d*y - 2 + 18 = 0 for g.
2
Let y(q) = q**2 - 11*q + 17. Let s be y(10). Let k = 4 + -1. Solve k*d = 4*l - 13 - s, -4*l = -5*d - 20 for d.
0
Let m(a) = -2*a**3 - 2*a**2 + 2*a - 1. Let v be m(-2). Suppose -2*y = -10 + 4. Let u = 1 + y. Solve -v*t = -2*r - 2, -u*r + 0*r + 2*t = -12 for r.
5
Suppose 10 = -n + 3*n. Let i(s) = s - 5. Let b be i(9). Suppose -b*m - 27 = -n*m. Solve -4*u - 5 - 3 = 0, 5*c - u = m for c.
5
Let y = 8 - 4. Suppose y*u + j = -27, -4*u + 3*j + j - 32 = 0. Let q = u - -8. Solve -3*s + q = -2*a + 2, -4*s + 5*a + 1 = 0 for s.
-1
Let a(x) = -7*x + 2. Let o be a(-2). Let f = o - 14. Solve l + 2*r - 2 = -3, f*l - r = -12 for l.
-5
Let n = -4 + 7. Suppose -4*r = k + n*k + 4, -k + 1 = 3*r. Let a be 8*1*r/2. Solve 2 = c - a*q - 1, 0 = -5*c + q - 23 for c.
-5
Let z be 2 - -9*(3 + -2). Suppose -12*p = -z*p - 3. Solve 0 = -5*r + 3*q + 40, p*r = -2*r - 5*q for r.
5
Let i be (-4)/(-7) + (-376)/(-28). Let v = 4 + 2. Let f = v + i. Solve 3*o + o + 15 = -3*u, 3*o = -4*u - f for o.
0
Let n(b) = -b**2 + 5*b + 10. Let d be n(6). Solve -2*s + 4 + 8 = 5*v, -3*s = 2*v + d for v.
4
Suppose -5*n = -2*n - 6. Suppose 0 = -n*k - 2*k + 4. Solve -2*q + k = -4*s - 3*q, 3*s = q + 8 for s.
1
Let o be ((-28)/7)/(2/(-8)). Suppose -o = -3*f - f. Solve f*s = 4*c - 4, 3*c + s - 5 = c for c.
2
Suppose 4*i - 46 - 14 = 0. Let f = i + -13. Let j(x) = -2*x - 3. Let c be j(-3). Solve -f*o + c*u + 13 = 0, -2*u - 14 = -2*o + 2*u for o.
5
Let i = -3 + 5. Let g be -1 - (i + 1 + 1). Let w be (-2)/((-6)/g)*-3. Solve 35 = 2*v + 5*k - 0*k, w*k - 25 = 0 for v.
5
Suppose 2 = y - 0. Solve y*c - x = -2, -x - 3 = 3*c - 5 for c.
0
Let t(x) = x + 1. Let d = 0 + 4. Let n = d + -5. Let i be t(n). Solve -3*u - 4*w + 1 = i, -2*u - 2*w = -0*w + 2 for u.
-5
Suppose 0 = -3*n + n. Let r(i) = -7*i + 1. Let c be r(-1). Suppose n*u - c = -2*u. Solve u*s = 16, -3*s = 5*h - s - 33 for h.
5
Suppose d - 2*l - 28 + 6 = 0, 3*l = 5*d - 75. Let k = 11 + -8. Let h(p) = p**2 - 15*p. Let u be h(15). Solve -4*s = -5*w - 3 + d, s - k*w + 11 = u for s.
4
Let m(w) = w**2 + 5*w + 8. Let t be m(-3). Solve 20 = -t*a + 4*b, 9*a + 23 = 4*a + b for a.
-4
Suppose 3*m = 3*k - k - 3, 3*k - 4*m = 4. Solve -2*v = 2*b - 10, 0 = -3*b - k*b + v + 11 for b.
4
Let r be 1 + 2/((-2)/(-13)). Let n = -10 + r. Let t be (-2)/(-2) + (-2 - -1). Solve 3*y = -5*v + 20, -y = -v - t*y + n for v.
4
Let k be (1/3)/(3/36). Let j be 6/(-21) + k/14. Solve -5*v + 19 = 2*z - 4, 2*v + 5*z - 5 = j for v.
5
Suppose -10 = -4*m + 2. Suppose -m*n + 2*n = -6. Let r be (4/n)/(2/12). Solve y - r*x = 3 - 2, 2*y - 5 = 5*x for y.
5
Let y(s) = -s + 4. Let j be y(4). Let r(v) = -v + 12. Let x be r(10). Let f be 22 + (2 - 2 - x). Solve j = 5*u - f, -3*u + 10 = 3*n - 5 for n.
1
Suppose 3*r - 5*h + 14 = 0, -r + 3*r = -4*h + 20. Solve g + p + 7 = 0, -5*g + r - 1 = -4*p for g.
-3
Let z(a) = a**3 - 11*a**2 + 4. Let v be z(11). Solve 0 = 5*y + 5*l - 25, -1 = -5*l + v for y.
4
Let a be (13 + -8)/((-5)/(-2)). Let d = -35 + 58. Solve -4*m - 16 = a*r, 4*r + 0*m - 3*m = d for r.
2
Let d = 6 - 9. Let r = d - -7. Solve -2*y + 0*k - r*k + 6 = 0, 2*y - 5*k = 6 for y.
3
Let t be (3/2)/((-7)/(-14)). Let q be (1 - 1)*(0 + -1). Solve 5*u - 4*b - 15 = -q*b, -u = 2*b - t for u.
3
Suppose -4*i = 2*k - 48, 2*i + i - 29 = -k. Solve 5*c - k = p, -c - p - 2 = -0*p for c.
2
Let a(u) be the third derivative of -u**4/12 - u**3 - u**2. Let x be a(-7). Let k(p) = p + 3. Let g be k(0). Solve g*n - x = -4*j, -j - 5 = 2*j + 5*n for j.
5
Let z(b) = 5*b. Suppose -4*t = -2*t - 14. Let k = 8 - t. Let c be z(k). Solve -4*p - 2*d = -10, 9*p + 4*d = 4*p + c for p.
5
Suppose 4*k - 5*b = 13, -4*k + b = -0*b - 9. Solve d + 2*p = -1, -k*d + 3 = -d + 4*p for d.
-5
Let d(a) = 3*a + 0*a + 2 - a - 3*a. Let h be d(-5). Solve -5*g - 5*n - 7 = -8*g, 5*g + h = -n for g.
-1
Let r = 6 - -9. Solve 4*s = b - 0*b + 6, -5*s = -5*b - r for s.
1
Suppose 5*k - 16 = -f, 4*k + 32 = 8*k - 4*f. Let x = 8 - k. Solve 5*y - 2*h + 3 = 0, x*y + 0*h + 2 = 2*h for y.
-1
Let k(h) = -4*h**3. Let z be k(-1). Let c = z - 10. Let n(j) | {
"pile_set_name": "DM Mathematics"
} |
sqrt(3025))/(sqrt(50)/sqrt(250)).
110*sqrt(5)
Simplify sqrt(45) + -3 + sqrt(5) - (sqrt(80) + sqrt(5) + 2)**2.
-132 - 16*sqrt(5)
Simplify (-3 + (1 + sqrt(171) + -2 - sqrt(171)))**2.
16
Simplify sqrt(9)/(sqrt(3) - sqrt(96)/sqrt(2)) + 4.
-sqrt(3)/3 + 4
Simplify ((-2*sqrt(15) - sqrt(15))/sqrt(5))**2 + sqrt(75)*-2.
-10*sqrt(3) + 27
Simplify 4*(sqrt(153))**2 - (2*sqrt(612) + sqrt(17) + sqrt(17)).
-14*sqrt(17) + 612
Simplify (-3 + sqrt(18) + sqrt(32)*4)**2.
-114*sqrt(2) + 731
Simplify sqrt(704) + 1 - sqrt(704) - 1*-1*sqrt(11).
1 + sqrt(11)
Simplify (sqrt(825)*-1)/(sqrt(147) + 2*sqrt(147) + sqrt(147)).
-5*sqrt(11)/28
Simplify (sqrt(784)*2)/sqrt(128).
7*sqrt(2)/2
Simplify ((2*sqrt(441) - sqrt(441))/sqrt(7))/(sqrt(108)/(-1*sqrt(12))).
-sqrt(7)
Simplify (sqrt(96)/sqrt(8)*3)/sqrt(6).
3*sqrt(2)
Simplify (sqrt(1539) + 4 + sqrt(1539))**2 + 3 + -4.
144*sqrt(19) + 6171
Simplify (sqrt(153)/sqrt(225) + (sqrt(17) - (sqrt(17) + 2 + -5)) + -4)**2.
-2*sqrt(17)/5 + 42/25
Simplify (sqrt(200)*6 + sqrt(50))/(-2*sqrt(90)).
-13*sqrt(5)/6
Simplify -1*-1*sqrt(5)*-2.
-2*sqrt(5)
Simplify 4*(sqrt(147) - (sqrt(147) + -2)).
8
Simplify ((2*sqrt(143) + sqrt(143))/sqrt(11) - ((sqrt(65) + (sqrt(65)*-2 - sqrt(65)))/sqrt(5) - sqrt(13)))**2*-4.
-1872
Simplify (5*2*sqrt(3) - (0 + sqrt(75)))**2.
75
Simplify ((sqrt(171) - (sqrt(171) + 2 + sqrt(171)))*-6 - (2 + sqrt(171))*6)**2.
0
Simplify sqrt(7) + sqrt(28)/sqrt(4)*5 - (-5 + 2 + sqrt(7)).
3 + 5*sqrt(7)
Simplify sqrt(228)/sqrt(48) - (sqrt(1216) + sqrt(1216)*-1) - (1*sqrt(76)/sqrt(4) + 2).
-sqrt(19)/2 - 2
Simplify -4*(5 + sqrt(320)/sqrt(10))*-5.
100 + 80*sqrt(2)
Simplify -5 + (-4*(sqrt(76) + sqrt(19)))**2*4*-4.
-43781
Simplify 4*sqrt(14)/sqrt(7)*-2.
-8*sqrt(2)
Simplify ((-5*(sqrt(77) + (sqrt(77) - 1*sqrt(77) - sqrt(77) - sqrt(77) - sqrt(77)) + sqrt(77) + sqrt(77)))/sqrt(7))**2.
0
Simplify (sqrt(143) - (sqrt(143) - sqrt(143)*-6) - sqrt(143))/sqrt(11) - -4*(sqrt(13) + -3).
-12 - 3*sqrt(13)
Simplify ((sqrt(475) + -1)*5 - (2 + sqrt(475) + sqrt(475)*1))*-4.
-60*sqrt(19) + 28
Simplify ((5*(sqrt(13) - sqrt(39)/sqrt(3) - sqrt(13)))**2 - (sqrt(91) - sqrt(91)*-2)/sqrt(7)) + 2.
-3*sqrt(13) + 327
Simplify sqrt(34)/(1*-3*sqrt(2)).
-sqrt(17)/3
Simplify -1*(0 + sqrt(19))**2*-3*-1.
-57
Simplify (-2*sqrt(72)*3 - (-5 + sqrt(72) + 1))**2 + -2.
-336*sqrt(2) + 3542
Simplify ((sqrt(216)*5)/sqrt(8))**2.
675
Simplify 0 + ((sqrt(77)*2 - sqrt(77)) + sqrt(77))/sqrt(7)*-1.
-2*sqrt(11)
Simplify (sqrt(7920)*-2)/sqrt(5) + (sqrt(396) + sqrt(396) + -1 - 6*(sqrt(44))**2).
-265 - 12*sqrt(11)
Simplify sqrt(22)/((sqrt(539) - sqrt(539)*1 - sqrt(539) - sqrt(11)) + sqrt(11)) + 3*(sqrt(72) + (sqrt(72) + 0)**2).
125*sqrt(2)/7 + 216
Simplify (sqrt(320) + 2*sqrt(320) + -4)**2 - (-4 + (sqrt(320)*-2 - sqrt(320))).
-168*sqrt(5) + 2900
Simplify (sqrt(99) - (2*sqrt(99) + sqrt(99) - sqrt(99))*-4 - sqrt(99))/sqrt(9) + (0 + sqrt(1100)*2)**2.
8*sqrt(11) + 4400
Simplify (-6*(-2*sqrt(88) + sqrt(88) + sqrt(88)) - sqrt(88))/sqrt(8).
-sqrt(11)
Simplify (-1*sqrt(7) + -5)**2 + -4.
10*sqrt(7) + 28
Simplify (sqrt(99) - (sqrt(99) + -5))**2 + (6*sqrt(77))/sqrt(7).
6*sqrt(11) + 25
Simplify -3*(sqrt(256)*-2)/sqrt(8) + -4.
-4 + 24*sqrt(2)
Simplify ((1*sqrt(35))/sqrt(5) - sqrt(7))*3 - (sqrt(112) - ((sqrt(112) - -2*sqrt(112))*-6 + sqrt(112) + sqrt(112))**2).
-4*sqrt(7) + 28672
Simplify ((sqrt(132) - (sqrt(132) + sqrt(132)*2 - sqrt(132)))*4)/(-1*sqrt(588)) + 3.
4*sqrt(11)/7 + 3
Simplify (4 + sqrt(28)/sqrt(4) - (2 + 2*sqrt(7)))**2.
-4*sqrt(7) + 11
Simplify (-1*sqrt(272)*-1)**2.
272
Simplify 3*(sqrt(162) + -2)**2 - (sqrt(162) - (sqrt(162) + sqrt(162)*2*5))**2.
-15702 - 108*sqrt(2)
Simplify -2*(sqrt(833)*2*5)**2.
-166600
Simplify ((sqrt(156) - 1*sqrt(156))/sqrt(6))/(-2*sqrt(6)/sqrt(3)).
0
Simplify (sqrt(204)*-1)/sqrt(12) - (1 + sqrt(153)).
-4*sqrt(17) - 1
Simplify (sqrt(5) - sqrt(10)/(sqrt(2) + sqrt(72)))*5.
30*sqrt(5)/7
Simplify -3 + (-2 + sqrt(175))*-1.
-5*sqrt(7) - 1
Simplify -6*(sqrt(117) + -5)**2.
-852 + 180*sqrt(13)
Simplify -4 + 5*sqrt(6)/sqrt(3).
-4 + 5*sqrt(2)
Simplify ((sqrt(99) + -1*sqrt(99) + sqrt(99))*-2 - sqrt(99))/sqrt(9).
-3*sqrt(11)
Simplify 2 + (sqrt(3) + 1)**2 - (4 + sqrt(27)).
-sqrt(3) + 2
Simplify (1*(sqrt(7) + sqrt(21)/(sqrt(6)/sqrt(2)) + sqrt(35)/sqrt(5) + -3))**2.
-18*sqrt(7) + 72
Simplify (sqrt(288) - (sqrt(288) - -5*(-1*sqrt(288))**2)) + -2.
-1442
Simplify sqrt(171)*4 - (sqrt(19) - ((-1 + sqrt(19))*-3)**2).
-7*sqrt(19) + 180
Simplify 2 + 6*sqrt(65)/(-2*sqrt(5)).
-3*sqrt(13) + 2
Simplify ((sqrt(27) + sqrt(54)/(sqrt(50) + sqrt(2)) + sqrt(27))/(sqrt(225) - (sqrt(225)*1 + sqrt(225))))**2.
169/300
Simplify 4 + (sqrt(25)/sqrt(5)*5 - ((sqrt(40)/sqrt(72) - sqrt(5)) + sqrt(5))).
4 + 14*sqrt(5)/3
Simplify (-4 + sqrt(128))**2 + -3.
-64*sqrt(2) + 141
Simplify (-3*sqrt(144))/sqrt(8).
-9*sqrt(2)
Simplify (-3 + sqrt(75)*-1 + -5)**2.
80*sqrt(3) + 139
Simplify sqrt(209)/((sqrt(891) - (sqrt(891)*3 + sqrt(891))) + sqrt(891)).
-sqrt(19)/18
Simplify -4*sqrt(11)*-2 + -2.
-2 + 8*sqrt(11)
Simplify ((sqrt(3) - (sqrt(3) + sqrt(12)/sqrt(4))) + 3)*-4 + 0.
-12 + 4*sqrt(3)
Simplify (2*sqrt(931)*1 - sqrt(931))**2.
931
Simplify sqrt(3) + (-5*sqrt(3)*1)**2 + sqrt(30)/(sqrt(40) + sqrt(10)).
4*sqrt(3)/3 + 75
Simplify -1*1*sqrt(363) + sqrt(363) - sqrt(363).
-11*sqrt(3)
Simplify sqrt(28)/((sqrt(112)/sqrt(4))/sqrt(7)).
sqrt(7)
Simplify (5*sqrt(19) + 2 - (sqrt(19) - (sqrt(684) + 0) - sqrt(19)))**2.
44*sqrt(19) + 2303
Simplify -1*sqrt(76) + sqrt(171)*-6.
-20*sqrt(19)
Simplify 0 + sqrt(180) + 1 + sqrt(180) + 2.
3 + 12*sqrt(5)
Simplify (sqrt(20) + (sqrt(200)/(sqrt(10) + sqrt(80)/sqrt(8)) - sqrt(20)))**2.
5
Simplify (sqrt(272) + (sqrt(272) + (sqrt(272) - (sqrt(272) - sqrt(272)*-3)) + 1 - sqrt(272) - sqrt(272)) + sqrt(272))**2.
-16*sqrt(17) + 1089
Simplify (-2*sqrt(1539))**2*-1.
-6156
Simplify 5 + (0 + sqrt(11))**2 + (sqrt(99) + -1)**2.
-6*sqrt(11) + 116
Simplify (5*(-3 + sqrt(48))*-4)**2.
-9600*sqrt(3) + 22800
Simplify -2*2*sqrt(19) + (sqrt(19) - (0 + sqrt(171))).
-6*sqrt(19)
Simplify (sqrt(91)/sqrt(252) - 6*sqrt(52)) + 1.
-71*sqrt(13)/6 + 1
Simplify 3 + sqrt(11) + -1 - -3*(-1*sqrt(11))**2.
sqrt(11) + 35
Simplify sqrt(14)/(sqrt(7) + (-3*sqrt(700) - sqrt(7))).
-sqrt(2)/30
Simplify (sqrt(10) + sqrt(30)/sqrt(48))/sqrt(2).
5*sqrt(5)/4
Simplify (-6*2*sqrt(117))**2.
16848
Simplify ((-3*sqrt(72))/((sqrt(4) - sqrt(8)/sqrt(32)) + sqrt(4)))**2*1.
2592/49
Simplify 5*(sqrt(1500) - 2*sqrt(1500))/sqrt(12).
-25*sqrt(5)
Simplify sqrt(30)/sqrt(160) + (-5*(2 + sqrt(3)))**2.
401*sqrt(3)/4 + 175
Simplify sqrt(363) + -2 + sqrt(363) - ((3*sqrt(9))/sqrt(3))**2.
-29 + 22*sqrt(3)
Simplify (1*sqrt(110)*1)/sqrt(640).
sqrt(11)/8
Simplify 0 + (sqrt(65)*1 - sqrt(65))/sqrt(5).
0
Simplify 5*sqrt(15)/sqrt(3)*4 - (-1 + sqrt(5))*6*-4.
-24 + 44*sqrt(5)
Simplify (2*sqrt(117)*1)/sqrt(324).
sqrt(13)/3
Simplify ((sqrt(130)*3 + sqrt(130))/sqrt(10) - (2 + sqrt(52)/sqrt(4)))**2.
-12*sqrt(13) + 121
Simplify (sqrt(300) + sqrt(300)*3*6)**2.
108300
Simplify 5 + sqrt(396) + 5.
10 + 6*sqrt(11)
Simplify -2 + (sqrt(343)*-2 + sqrt(343) + 5 - sqrt(343) - (sqrt(343) + -5 + (sqrt(343) - (sqrt(343) - 1*sqrt(343)))))**2.
-560*sqrt(7) + 5586
Simplify sqrt(196)/sqrt(847).
2*sqrt(7)/11
Simplify 1 + (6*sqrt(15)/sqrt(3) - sqrt(5)*3*-6).
1 + 24*sqrt(5)
Simplify (sqrt(1088) + -1 + sqrt(1088) + sqrt(1088)*-2)**2.
1
Simplify -2 + (-1*sqrt(272))**2.
270
Simplify -2*(-2 + 4*sqrt(1900)).
-80*sqrt(19) + 4
Simplify (sqrt(187)/(sqrt(55)/sqrt(5)) - ((sqrt(136)*1)/sqrt(8))**2)*2.
-34 + 2*sqrt(17)
Simplify -4 + (sqrt(5) + 1*sqrt(25)/sqrt(5) + (-5 + (sqrt(245) - sqrt(5)) - sqrt(5)))**2.
-70*sqrt(5) + 266
Simplify (sqrt(68) + (sqrt(68) - (-2*sqrt(68) - sqrt(68)))*-4 - (sqrt(68) - (-5 + sqrt(68) + -1 + sqrt(68))))**2.
336*sqrt(17) + 13364
Simplify 4*(sqrt(17) + sqrt(17)*4) - sqrt(136)/sqrt(800).
199*sqrt(17)/10
Simplify (sqrt(304)*2 - sqrt(304))**2 + -1 + sqrt(304) + 2.
4*sqrt(19) + 305
Simplify -5 + sqrt(76)*-5.
-10*sqrt(19) - 5
Simplify sqrt(6)/(sqrt(96)/sqrt(3) - sqrt(2)).
sqrt(3)/3
Simplify (-2*sqrt(1377) - sqrt(1377)) + -3 + -4.
-27*sqrt(17) - 7
Simplify 4 + -4*(1 + sqrt(13)).
-4*sqrt(13)
Simplify (sqrt(21) + sqrt(21) + (sqrt(231)/sqrt(275) - sqrt(21)))/sqrt(3).
6*sqrt(7)/5
Simplify 1 + sqrt(1008) + (sqrt(1008) + 1)**2 + sqrt(1008) + sqrt(1008) - (1*(0 + sqrt(7))**2 + (sqrt(7) - 2*sqrt(112))**2 | {
"pile_set_name": "DM Mathematics"
} |
+ 16*m - 5. Calculate n(8).
-5
Let d(v) = 4*v - 3. Give d(-6).
-27
Let o(m) = m**3 + 10*m**2 - 39*m - 313. Determine o(-11).
-5
Let d(g) = 3*g**3 + 4*g**2 + g - 4. Give d(-2).
-14
Let q(r) = 8*r**3 - 4*r**2 - 2*r + 3. Calculate q(2).
47
Let r(d) = -10*d**3 - 4*d**2 - 2*d - 8. What is r(-2)?
60
Let n(k) = -k**2 - 14*k + 1. Give n(-9).
46
Let o(a) = 11*a. Determine o(4).
44
Let a(w) = 25*w + 128. Determine a(-5).
3
Let k(t) = -t**3 - 8*t**2 + 9*t + 6. What is k(-9)?
6
Let p(b) = -2*b + 9. Calculate p(5).
-1
Let r(i) = i**3 + 3*i**2 - 2*i + 1. What is r(-3)?
7
Let a(s) = s**2 + 11*s + 11. Give a(-5).
-19
Let a(h) = h**2 - 10*h + 7. Calculate a(10).
7
Let f(s) = -24*s - 146. Determine f(-8).
46
Let y(a) = -8*a**3 - a**2 - a + 1. What is y(1)?
-9
Let t(b) = -b**2 - 10*b - 2. What is t(-10)?
-2
Let g(b) = -b**3 + 26*b**2 - 72*b + 18. Give g(23).
-51
Let a(r) = -r**3 + 3*r**2 + 4*r + 1. Calculate a(3).
13
Let d(t) = t**3 + 6*t**2 - 35*t - 177. Give d(-8).
-25
Let f(k) = k**2 - 3*k - 112. What is f(-9)?
-4
Let o(x) = 8*x + 10. Determine o(-6).
-38
Let n(u) = u**3 - 8*u**2 + 6*u - 8. Determine n(6).
-44
Let o(j) = j**2 - 12*j + 2. Give o(10).
-18
Let u(y) = -7*y + 6. Calculate u(2).
-8
Let j(l) = 79*l + 1. Determine j(1).
80
Let n(p) = -p**3 - 14*p**2 - 24*p - 3. Calculate n(-12).
-3
Let g(p) = p**3 - 7*p**2 + 2*p - 5. Determine g(7).
9
Let x(n) = -n**3 - 19*n**2 + 16*n - 67. What is x(-20)?
13
Let b(i) = -i**3 + 2*i**2 + i + 3. What is b(3)?
-3
Let l(m) = 3*m + 24. Calculate l(-8).
0
Let g(v) = -v**2 - 18*v - 9. Calculate g(-16).
23
Let x(k) = k - 9. What is x(10)?
1
Let b(f) = 2*f - 23. Give b(3).
-17
Let x(f) = f**3 - f**2 + 10. Give x(0).
10
Let i(l) = -l**2 - 10*l - 3. Give i(-8).
13
Let l(p) = -p**2 + 4*p + 26. What is l(10)?
-34
Let k(y) = y**3 + y**2 - y - 20. Calculate k(0).
-20
Let h(m) = -m**3 + 35*m**2 - 33*m - 37. What is h(34)?
-3
Let m(u) = -u**3 + 3*u - 1. What is m(-5)?
109
Let r(t) = -t**2 - 7*t - 17. Give r(-7).
-17
Let s(c) = 6*c + 4. What is s(2)?
16
Let l(m) = -m**3 - 8*m**2 - 19*m - 15. Calculate l(-5).
5
Let d(s) = s + 36. Calculate d(-17).
19
Let u(c) = -13*c**3 - 2*c + 2. Calculate u(2).
-106
Let v(i) = -2*i + 12. Give v(10).
-8
Let s(g) = -8*g - 51. Calculate s(5).
-91
Let y(c) = 3*c - 2. What is y(-6)?
-20
Let r(m) = -m**2 - 15*m - 14. Determine r(-7).
42
Let b(z) = -z - 7. Calculate b(-9).
2
Let c(z) = -z**2 + 12*z + 32. Give c(14).
4
Let u(d) = 13*d**2 + 5*d - 2. Give u(2).
60
Let x(h) = -5*h**2 + h + 2. Give x(-1).
-4
Let q(f) = -f**3 + 12*f**2 - 2*f + 18. Calculate q(12).
-6
Let j(b) = -b**3 - 10*b**2 - 17*b + 2. What is j(-8)?
10
Let s(x) = x**3 + 9*x**2 - 8. Calculate s(-8).
56
Let m(n) = -4*n**3 + 28*n**2 + 4*n + 1. Calculate m(7).
29
Let n(d) = -d**3 + 9*d**2 - 14*d + 16. Give n(7).
16
Let t(w) = w**3 + 2*w**2 - 2*w + 7. Give t(-4).
-17
Let v(a) = -2*a**2 + 8*a + 71. What is v(-5)?
-19
Let p(l) = l**2 - 3*l - 14. What is p(6)?
4
Let m(l) = -2*l**2 + 4. Calculate m(-4).
-28
Let z(f) = 2*f**2 + 83*f + 46. Give z(-41).
5
Let t(w) = w**2 - 10*w - 9. Calculate t(11).
2
Let d(p) = -5*p - 6. Calculate d(-5).
19
Let y(b) = b**3 - 7*b**2 + 7*b - 1. Give y(6).
5
Let i(g) = -g**3 + 19*g**2 - 20*g + 42. What is i(18)?
6
Let h(j) = -17*j + 34. What is h(3)?
-17
Let p(o) = o**2 + 10*o - 12. Determine p(-10).
-12
Let t(m) = 2*m**2 - 8*m + 11. What is t(3)?
5
Let y(q) = q**3 - 6*q**2 - 9*q + 22. What is y(7)?
8
Let w(f) = 3*f**2 - f. Determine w(-1).
4
Let v(o) = o + 3. Give v(3).
6
Let c(b) = b**2 - 18*b - 12. Give c(17).
-29
Let p(g) = -2*g**2 - 8*g + 36. Determine p(-9).
-54
Let t(f) = -5*f + 20. Determine t(6).
-10
Let t(m) = -13*m + 3. Calculate t(-2).
29
Let k(m) = m**2 + 11*m + 15. Calculate k(-8).
-9
Let u(d) = d**2 - d - 5. Determine u(-3).
7
Let i(w) = 11*w - 35. Determine i(5).
20
Let h(a) = a**2 - 2*a - 3. Give h(2).
-3
Let p(i) = -i**2 - 5*i + 15. Determine p(-7).
1
Let b(n) = -n**3 - 17*n**2 - 15*n + 17. Calculate b(-16).
1
Let j(s) = -s**3 - 6*s**2 - 6*s. Calculate j(-6).
36
Let y(s) = -s**3 - 4*s**2 + s + 2. Calculate y(-4).
-2
Let r(q) = -2*q**2 - 10*q + 14. Determine r(-6).
2
Let g(x) = -2*x + 1. Calculate g(5).
-9
Let c(n) = n**2 - 7*n - 7. Calculate c(8).
1
Let u(c) = 5*c**2 - 7*c - 17. Give u(-2).
17
Let n(p) = p - 23. Give n(16).
-7
Let q(h) = 76*h - 2. Calculate q(0).
-2
Let l(h) = -h**2 - 32*h - 202. What is l(-24)?
-10
Let f(h) = h**2 - h. What is f(4)?
12
Let h(t) = -12*t + 3. Calculate h(5).
-57
Let j(p) = -p**3 - 15*p**2 + 17*p + 11. What is j(-16)?
-5
Let y(a) = -4*a**3 + a**2 + a + 1. Calculate y(-1).
5
Let u(k) = -k**2 - 12*k - 9. Give u(-9).
18
Let y(m) = -m**3 - m**2 + 3*m - 3. Determine y(-3).
6
Let l(p) = -2*p**2 + 2*p - 3. Determine l(-4).
-43
Let d(y) = -y**2 + 13*y - 1. Determine d(6).
41
Let b(x) = -4*x**3 + x**2 + 4*x + 3. Calculate b(-2).
31
Let h(m) = -8*m - 157. Determine h(-22).
19
Let v(r) = 3*r**3 + 4*r**2 + r - 6. What is v(-3)?
-54
Let c(g) = -g**2 - 2*g. What is c(-1)?
1
Let w(f) = -9*f + 7. Give w(3).
-20
Let m(u) = u**3 + 9*u**2 + 9*u - 13. Calculate m(-7).
22
Let f(y) = -5*y**3 + y**2 + 3*y - 2. Calculate f(2).
-32
Let b(x) = -x**3 + 8*x**2 + 8*x - 4. Give b(9).
-13
Let h(z) = 2*z**3 - 26*z**2 + z + 7. Calculate h(13).
20
Let p(k) = k**3 + 3*k**2 - 3*k - 10. What is p(-3)?
-1
Let t(a) = -a**3 - 10*a**2 - 22*a - 51. Give t(-8).
-3
Let l(j) = 4*j**3 - j**2 - 6. Give l(2).
22
Let y(c) = -3*c**2 + 6*c - 6. Give y(1).
-3
Let p(c) = c**3 - 11*c**2 + 31*c - 14. What is p(5)?
-9
Let o(s) = -s**3 - 3*s**2 + 6*s + 1. What is o(-2)?
-15
Let j(d) = -18*d - 56. What is j(-4)?
16
Let t(d) = d**3 - 5*d**2 + 9*d - 13. Give t(6).
77
Let z(i) = i**3 + 6*i**2 - 7*i + 1. Give z(-7).
1
Let b(n) = -2*n**3 - 2*n**2 - n - 2. Determine b(-3).
37
Let y(d) = 29*d + 2. Determine y(-1).
-27
Let z(b) = 12*b + 20. Determine z(-2).
-4
Let o(p) = 5*p + 76. Determine o(-16).
-4
Let h(o) = o**3 - o**2 + 6. Determine h(3).
24
Let b(v) = v**3 + v - 10. Determine b(0).
-10
Let o(i) = -i + 5. What is o(9)?
-4
Let m(n) = -n + 16. Determine m(12).
4
Let h(v) = v**3 + 8*v**2 + 14*v + 6. Give h(-6).
-6
Let b(q) = -9*q - 8. Give b(-2).
10
Let y(c) = -10*c + 80. Give y(8).
0
Let c(y) = 7*y + 19. Determine c(-4).
-9
Let l(y) = -y**3 + 2*y**2 + y. Calculate l(3).
-6
Let c(g) = g**2 + 7*g - 48. Calculate c(-11).
-4
Let r(y) = -y**3 + 10*y**2 + 1. Give r(10).
1
Let v(t) = t**2 + 9*t + 6. Calculate v(-9).
6
Let o(w) = -w**2 - 29*w - 165. Give o(-20).
15
Let n(q) = -14*q**2 - 105*q - 48. What is n(-7)?
1
Let i(b) = 10*b + 15. What is i(-2)?
-5
Let i(a) = -3*a + 14. Determine i(-10).
44
Let w(u) = 3*u + 18. What is w(-7)?
-3
Let g(q) = 5*q**3 - 2*q**2 - 2*q + 3. Calculate g(2).
31
Let w(k) = k**3 + 4*k**2 + 8*k + 7. Give w(-2).
-1
Let j(w) = -w**2 + 5*w - 9. Calculate j(3).
-3
Let n(s) = -s**2 + 7*s + 18. Calculate n(8).
10
Let s(n) = 6*n + 4. Calculate s(3).
22
Let f(y) = 21*y**3 - 3*y**2 + 4*y - 2. Determine f(1).
20
Let x(k) = 41*k + 131. Calculate x(-3).
8
Let c(y) = -y**2 + 11*y + 8. Determine c(10).
18
Let x(q) = -q**2 - 10*q - 9. Give x(-4).
15
Let g(z) = -21*z + 9. Give g(0).
9
Let r(n) = 27*n - 408. Calculate r(15).
-3
Let q(t) = -12*t - 11. Determine q(0).
-11
Let w(m) = m - 42. Give w(7).
-35
Let b(h) = 11*h + 423. Calculate b(-38).
5
Let v(u) = 12*u - 44. Give v(6).
28
Let m(r) = r**2 + 12*r - 27. Give m(-14).
1
Let q(n) = n**2 + 12*n + 6. Give q(-12).
6
Let s(d) = -d**3 - 3*d**2 + 3*d + 5. What is s(-5)?
40
Let z(h) = 10*h + 45. Determine z(-10).
-55
Let m(o) = o**2 - 2*o + 10. What is m(6)?
34
Let v(a) = -a - 27. Determine v(-17).
-10
Let q(t) = -2*t**2 - 70*t - 195. Determine q(-32).
-3
Let q(t) = 3*t**2 - 7*t - 1. Determine q(5).
39
Let x(r) = 7*r + 18. Calculate x(-5).
-17
Let j(i) = -i**3 - 7*i**2 - i + 10. Give j(-7).
17
Let w(t) = t**2 + 12*t + 14. Determine w(-4).
-18
Let a(w) = 2*w + 33. Give a(-18).
-3
Let f(p) = -p**3 - 12*p**2 - 10*p + 44. Give f(-10).
-56
Let h(g) = g**3 - 18*g**2 - 18*g + 21. What is h(19)?
40
Let t(a) = 2*a - 1. Give t(0).
-1
Let y(w) = -w**3 + 4*w**2 + 8*w - 8. Give y(6).
-32
Let u(v) = v + 5. Determine u(1).
6
Let r(l) = -3*l**2 + 38*l + 31. What is r(13)?
18
Let v(c) = c**3 + 8*c**2 - 5*c + 34. Give v(-9).
-2
Let g(p) = -p**3 - 4*p**2 - 16. Give g(-6).
56
Let m(a) = 2*a**3 - 4*a* | {
"pile_set_name": "DM Mathematics"
} |
digit of 55401471?
4
What is the billions digit of 1739640798?
1
What is the millions digit of 40878636?
0
What is the hundred millions digit of 1643035223?
6
What is the units digit of 76766472?
2
What is the millions digit of 122386719?
2
What is the hundred millions digit of 396125426?
3
What is the billions digit of 3883459919?
3
What is the thousands digit of 1860476531?
6
What is the tens digit of 470795971?
7
What is the thousands digit of 4958726586?
6
What is the thousands digit of 311162219?
2
What is the hundred thousands digit of 87418389?
4
What is the hundred millions digit of 1995833939?
9
What is the thousands digit of 5352846475?
6
What is the millions digit of 7609198?
7
What is the ten thousands digit of 155735438?
3
What is the hundred thousands digit of 338544115?
5
What is the units digit of 966994392?
2
What is the hundreds digit of 15285101?
1
What is the tens digit of 1176837829?
2
What is the hundreds digit of 861344049?
0
What is the millions digit of 47870542?
7
What is the hundreds digit of 82868356?
3
What is the hundred thousands digit of 380306493?
3
What is the tens digit of 15470373?
7
What is the units digit of 125625029?
9
What is the millions digit of 38102900?
8
What is the billions digit of 1160289218?
1
What is the units digit of 4635139775?
5
What is the hundred millions digit of 118503903?
1
What is the ten millions digit of 47146417?
4
What is the units digit of 4705071237?
7
What is the billions digit of 5371584639?
5
What is the hundred thousands digit of 471605159?
6
What is the tens digit of 1304617683?
8
What is the ten millions digit of 168653324?
6
What is the tens digit of 93005462?
6
What is the tens digit of 11117541?
4
What is the millions digit of 23859516?
3
What is the hundred millions digit of 5683421776?
6
What is the hundreds digit of 916294459?
4
What is the hundred millions digit of 2216749187?
2
What is the tens digit of 881031571?
7
What is the hundred thousands digit of 2789184?
7
What is the hundred thousands digit of 363115672?
1
What is the hundred thousands digit of 861111953?
1
What is the hundreds digit of 1858446397?
3
What is the ten thousands digit of 93388995?
8
What is the thousands digit of 545623534?
3
What is the millions digit of 376256383?
6
What is the thousands digit of 163836303?
6
What is the ten millions digit of 91646494?
9
What is the units digit of 27899493?
3
What is the tens digit of 1647015003?
0
What is the hundreds digit of 97737477?
4
What is the tens digit of 2348264001?
0
What is the ten millions digit of 690587851?
9
What is the tens digit of 580666176?
7
What is the units digit of 2897212651?
1
What is the thousands digit of 389309381?
9
What is the ten thousands digit of 318806363?
0
What is the ten millions digit of 159831127?
5
What is the tens digit of 1237874698?
9
What is the hundred thousands digit of 360979333?
9
What is the hundreds digit of 1051485150?
1
What is the thousands digit of 25822111?
2
What is the millions digit of 4748253802?
8
What is the ten thousands digit of 373972226?
7
What is the ten thousands digit of 474643130?
4
What is the ten thousands digit of 99114123?
1
What is the hundred thousands digit of 46462590?
4
What is the ten millions digit of 1439245182?
3
What is the ten millions digit of 11771953?
1
What is the ten thousands digit of 1290549918?
4
What is the ten thousands digit of 785342461?
4
What is the millions digit of 33124107?
3
What is the hundred millions digit of 280386731?
2
What is the tens digit of 89368880?
8
What is the ten millions digit of 2332235152?
3
What is the hundreds digit of 142360847?
8
What is the hundreds digit of 226754081?
0
What is the tens digit of 134722425?
2
What is the thousands digit of 167516151?
6
What is the hundreds digit of 574019041?
0
What is the thousands digit of 29754182?
4
What is the tens digit of 879652527?
2
What is the hundred thousands digit of 629134019?
1
What is the millions digit of 1503927108?
3
What is the ten thousands digit of 545004099?
0
What is the hundred thousands digit of 9954674?
9
What is the hundreds digit of 1038779244?
2
What is the hundreds digit of 12654525?
5
What is the ten thousands digit of 199728281?
2
What is the hundred thousands digit of 1452694180?
6
What is the ten thousands digit of 502778352?
7
What is the millions digit of 1084102725?
4
What is the hundred thousands digit of 162758504?
7
What is the ten millions digit of 1250607265?
5
What is the tens digit of 35594877?
7
What is the hundred thousands digit of 17684033?
6
What is the hundred millions digit of 1137561546?
1
What is the hundreds digit of 4658353701?
7
What is the hundreds digit of 765688295?
2
What is the thousands digit of 117760436?
0
What is the hundreds digit of 965737337?
3
What is the ten thousands digit of 3771078075?
7
What is the hundreds digit of 65455807?
8
What is the ten millions digit of 5200875357?
0
What is the units digit of 132044679?
9
What is the millions digit of 44927321?
4
What is the units digit of 182262441?
1
What is the hundred thousands digit of 49289723?
2
What is the ten millions digit of 323530187?
2
What is the units digit of 752568296?
6
What is the tens digit of 1972436?
3
What is the millions digit of 296963553?
6
What is the hundreds digit of 84287798?
7
What is the thousands digit of 194819344?
9
What is the millions digit of 2543637725?
3
What is the thousands digit of 93596801?
6
What is the ten millions digit of 49012439?
4
What is the hundreds digit of 193901667?
6
What is the hundreds digit of 296848057?
0
What is the thousands digit of 955852?
5
What is the ten millions digit of 61032310?
6
What is the hundreds digit of 951025155?
1
What is the ten millions digit of 2054719871?
5
What is the ten thousands digit of 7479131266?
3
What is the hundred millions digit of 2858820488?
8
What is the tens digit of 814330828?
2
What is the millions digit of 2337490786?
7
What is the thousands digit of 198760075?
0
What is the hundred thousands digit of 4761979453?
9
What is the thousands digit of 44506313?
6
What is the millions digit of 50925232?
0
What is the ten millions digit of 33216619?
3
What is the tens digit of 20501326?
2
What is the tens digit of 930027423?
2
What is the hundred thousands digit of 99222295?
2
What is the ten thousands digit of 54962662?
6
What is the units digit of 167308246?
6
What is the millions digit of 513637751?
3
What is the ten thousands digit of 40873878?
7
What is the ten thousands digit of 1333059714?
5
What is the thousands digit of 26304484?
4
What is the hundred millions digit of 2921311179?
9
What is the hundreds digit of 10759777?
7
What is the thousands digit of 22869382?
9
What is the units digit of 61451225?
5
What is the thousands digit of 920038986?
8
What is the units digit of 1085867945?
5
What is the hundreds digit of 197834683?
6
What is the hundreds digit of 78400865?
8
What is the thousands digit of 161049973?
9
What is the tens digit of 941041129?
2
What is the millions digit of 291186575?
1
What is the hundred millions digit of 2169496404?
1
What is the tens digit of 1227244986?
8
What is the units digit of 5195533?
3
What is the ten millions digit of 1202887778?
0
What is the units digit of 4863945?
5
What is the units digit of 265553584?
4
What is the hundreds digit of 2486986588?
5
What is the units digit of 287603424?
4
What is the hundred thousands digit of 365439765?
4
What is the thousands digit of 4863967755?
7
What is the millions digit of 5093142555?
3
What is the tens digit of 197792588?
8
What is the millions digit of 1619735930?
9
What is the ten millions digit of 446353356?
4
What is the thousands digit of 1509032343?
2
What is the tens digit of 42494523?
2
What is the units digit of 71974965?
5
What is the ten thousands digit of 2352320251?
2
What is the thousands digit of 450362320?
2
What is the units digit of 32932254?
4
What is the ten millions digit of 1279735780?
7
What is the ten millions digit of 292697611?
9
What is the tens digit of 76594959?
5
What is the units digit of 153879570?
0
What is the ten millions digit of 685174500?
8
What is the units digit of 120739944?
4
What is the ten millions digit of 307875764?
0
What is the hundred thousands d | {
"pile_set_name": "DM Mathematics"
} |
.2
Add together -33554.22 and -5041.
-38595.22
2747 - -24799
27546
What is 591 minus 6976807?
-6976216
Work out -2.13 - 1618.76.
-1620.89
Work out 16290.1 + -22445.
-6154.9
-0.1 + 16961906012
16961906011.9
Add together 3380 and -0.1798.
3379.8202
10 - 10408099
-10408089
What is -43253998 - -0.087?
-43253997.913
-4009.3518+0.21
-4009.1418
What is -56 plus 65.471?
9.471
What is 627 minus -68345343?
68345970
Add together 2999 and -82242.
-79243
Calculate 2449 + 14712.
17161
Add together -8461 and 3715.
-4746
Subtract 2 from -28.068786.
-30.068786
What is the distance between -38740.5 and -3?
38737.5
Put together 107.4 and -0.070265.
107.329735
Subtract -46 from -33773392.
-33773346
What is -491 - -6.159128?
-484.840872
What is -3065 take away -118.3914?
-2946.6086
What is -6651.12 minus -5145?
-1506.12
Calculate 0.11 + 771532337.
771532337.11
What is the difference between 70012 and -100?
70112
Subtract 60155 from -45.
-60200
Sum -6888.82 and 178.
-6710.82
Calculate 461623483 + -0.5.
461623482.5
Put together -11.963 and -25739.
-25750.963
What is -571.76 minus 0.0211?
-571.7811
What is the distance between 9624.376 and -0.02?
9624.396
Subtract 2845.1609 from -4.
-2849.1609
What is -7465684 plus 85.1?
-7465598.9
What is -25893 less than -6.5?
25886.5
-1630+4907387
4905757
What is -459.5 + 0.667603?
-458.832397
Work out 21249.7 - -1.2.
21250.9
4477.16+-0.1
4477.06
Work out -16893 - 364663.
-381556
Work out 63654.799 + 0.
63654.799
Calculate -102.3 - 0.14015227.
-102.44015227
What is 3092 + -77804?
-74712
What is -22192 minus 53393?
-75585
What is -140191013 plus 3?
-140191010
Calculate -3565352 + -152.5.
-3565504.5
Put together -48206734 and 263.
-48206471
What is -14395 minus 241345?
-255740
Total of 488.37402 and 0.1.
488.47402
Calculate -5 - 21129326120.
-21129326125
Work out 0.014 + 2.00573087.
2.01973087
Work out -1857839 - 1649.
-1859488
0.088562 + 245.9
245.988562
What is the difference between -33.6951192 and 0?
33.6951192
Add 303 and 2804741.
2805044
Work out 44.76 + 0.690063.
45.450063
Work out -432.6 - 28.
-460.6
Work out -221261414 - -0.1.
-221261413.9
Calculate 11 - 17659653.23.
-17659642.23
Calculate 37608.63 - 94.
37514.63
Work out 0.0598 + -825949.
-825948.9402
Sum 0.13734 and -799.
-798.86266
Put together 2.09 and -187008.
-187005.91
38084247 + -4
38084243
Total of 257348 and 0.345.
257348.345
Subtract -33.2 from -11.4672.
21.7328
Total of -8686.8 and 0.06666.
-8686.73334
Sum 0 and 2.59174.
2.59174
What is the distance between 1602 and -31296.1?
32898.1
Calculate -44530 - 27091.
-71621
What is the difference between 72.816 and -9381.8?
9454.616
What is the distance between -0.2 and 0.045380417?
0.245380417
Work out -3061423 + -0.005.
-3061423.005
What is 15 less than -2258184?
-2258199
Put together -81.64 and -334671.
-334752.64
What is 1378 less than 1988?
610
Sum -236991335 and 1.
-236991334
0.3+21184
21184.3
Sum -211 and -148673.479.
-148884.479
1066+12757
13823
Calculate -1395131919 - -2.
-1395131917
Work out -53129830 - -0.3.
-53129829.7
Add 0.1 and -25637112.
-25637111.9
-26483.86724 - -7
-26476.86724
Subtract -0.12 from 18094.91499.
18095.03499
-12 - 2322408
-2322420
What is the difference between 2899.382 and -0.03?
2899.412
Work out 0.5 - -10392639991.
10392639991.5
What is 73379813834 plus -0.3?
73379813833.7
Work out 1.2 + -288436.
-288434.8
Total of 4231 and 16473.2.
20704.2
Add 0.2 and -408770379.
-408770378.8
-0.4 - 10020424
-10020424.4
Put together 0.004 and 1052160539.
1052160539.004
-1 - -162380.98
162379.98
Calculate 102.1 + -104466.
-104363.9
What is the distance between -0.085539 and -85.2?
85.114461
Add together 1999 and -232058.
-230059
What is -2822 plus -0.40593?
-2822.40593
Sum -5028 and -27621.
-32649
What is -281.527 - -20.2?
-261.327
What is -567977 + 0.212?
-567976.788
Calculate -3111294404 + 0.
-3111294404
Subtract 320779 from -1381.
-322160
-50.079737+26
-24.079737
Work out -0.033953 + -6293.5.
-6293.533953
What is the distance between 3858 and 2510?
1348
What is 3 - -11616.18?
11619.18
Calculate 1740828.98 + -0.3.
1740828.68
What is -33.266 plus 694439?
694405.734
What is 134 - 24027105?
-24026971
Calculate 119.612 + 133673.
133792.612
Calculate -3932.99 - -1.22.
-3931.77
3938 - 13054.35
-9116.35
What is 42260723 take away -0.91?
42260723.91
What is the difference between 9944940 and 5?
9944935
Subtract -98251256 from -0.3.
98251255.7
What is 38985437 take away 0.548?
38985436.452
Calculate 13 - 701708.
-701695
What is -0.13 plus -5097281.331?
-5097281.461
Put together -246966 and -464693.
-711659
Add together -119.843 and 3837.
3717.157
Calculate -11108.548 - -31.
-11077.548
Sum 3520 and 1893244.
1896764
Subtract -91165261 from 1.7.
91165262.7
40+171115297.2
171115337.2
6+897998043
897998049
What is -25 + -480509?
-480534
Work out 477924 + -326.7.
477597.3
Sum -12.2 and 298611.
298598.8
What is -24.1771 + -0.307?
-24.4841
Total of -1.27 and 37.5.
36.23
Work out 0.03 + 14269.27709.
14269.30709
What is 19681160.88 - 19?
19681141.88
What is the difference between -87085.55 and -914?
86171.55
Add together -4 and 313795909.
313795905
Calculate 0.074 - -0.6736.
0.7476
Total of 1.8 and 6198450.
6198451.8
Sum -0.4 and 1.24451036.
0.84451036
Calculate 1510634.93 - 324.
1510310.93
Add together 0.11445 and 821.5.
821.61445
What is the difference between 457893 and -130?
458023
Total of -28.3 and 4.79172.
-23.50828
1294 - 9481066
-9479772
Work out -5590.8 + 0.1785.
-5590.6215
What is the distance between -89392 and -237.621?
89154.379
What is -245.3504 take away 6.413?
-251.7634
What is 49472 plus -22883.5?
26588.5
Add together -839.68 and -0.4.
-840.08
Calculate 1804653236 - 2.
1804653234
Calculate 1 - 694408387.
-694408386
Add together -1546828687 and 0.4.
-1546828686.6
What is 1108695 minus -0.028268?
1108695.028268
Put together -48897683 and 0.78.
-48897682.22
0.1 - 6055.52568
-6055.42568
What is 240979149 minus 0.074?
240979148.926
Calculate 0.49064 - -3139.
3139.49064
Calculate -1 + 616.1296.
615.1296
Calculate 2822 - 4577.
-1755
Subtract -2845 from 0.140521.
2845.140521
Calculate 5205.2913 - -21.
5226.2913
What is -63.62097 take away 1?
-64.62097
Add -15048 and -534487.
-549535
What is 12402818458 less than -0.2?
-12402818458.2
Add -1678 and -1503330.
-1505008
What is 571.7 plus 1466151?
1466722.7
Work out -2175085.3 + 5.
-2175080.3
Work out 2901 + 0.86593.
2901.86593
What is 0.04483 take away -13.05?
13.09483
Subtract 1.57 from -1191819.
-1191820.57
Subtract 0.3544828 from -0.3.
-0.6544828
Sum 32594589002 and -5.
32594588997
-76208795+-37
-76208832
-1841.2649+-5.5
-1846.7649
What is -75993346 - -2?
-75993344
Put together -5 and 828457468.
828457463
Work out 32.168509 - 22.
10.168509
Work out 22025 - -12306.9.
34331.9
46 + 0.2485007
46.2485007
-184 - 773805
-773989
Work out -20219581 - 3.
-20219584
Sum -864302.181 and -4.
-864306.181
What is -426932958 take away -0.4?
-426932957.6
What is 1.78 plus -897520?
-897518.22
What is the distance between -27.64138876 and -0.2?
27.44138876
What is -1967484 minus -0.029?
-1967483.971
5.010064 - -675
680.010064
-231940611+29
-231940582
-0.5+16890836.99
16890836.49
What is -291 + 12661?
12370
-8 + -3250013089
-3250013097
What is 3469 less than -9797?
-13266
What is 416.1 + -61290?
-60873.9
Calculate -1413 + -3077148.
-3078561
Subtract 988822440 from -3.
-988822443
What is 2678 take away 13075.5?
-10397.5
Put together 2405 and 11997.
14402
What is -0.8 plus 1.1143831?
0.3143831
What is the difference between -1.2 and -138651345?
138651343.8
Subtract 262 from 299.3719.
37.3719
What is 16510347 plus 70.8?
16510417.8
What is 155194 take away 0.273281?
155193.726719
What is the difference between -248 and 2887.4?
3135.4
Total of 0 and 22719942344.
22719942344
What is -18 - 3173008?
-3173026
What is -448218 - 68023?
-516241
What is -1.3 - -0.04510484?
-1.25489516
Calculate 12458963.8 + 28.2.
12458992
What is 0.03586355 plus -4?
-3.96413645
-647 + -30.21355
-677.21355
Sum -10291.8 and 7495.
-2796.8
Add 387253 and 0.79095.
387253.79095
-63201 - -0.3344
-63200.6656
Subtract 5 from 4.4416149.
-0.5583851
What is the distance between 1.11769149 and -0.054?
1.17169149
What is 1020.3 plus -2354.55?
-1334.25
-0.0143538 - -137
136.9856462
What is 825 + -0.09692?
824.90308
What | {
"pile_set_name": "DM Mathematics"
} |
0879016?
7
What is the tens digit of 119540?
4
What is the tens digit of 153666?
6
What is the hundred thousands digit of 906354?
9
What is the hundreds digit of 423286?
2
What is the units digit of 21968?
8
What is the hundreds digit of 9429164?
1
What is the ten thousands digit of 32148?
3
What is the units digit of 11113383?
3
What is the ten thousands digit of 465517?
6
What is the hundred thousands digit of 503308?
5
What is the units digit of 2602215?
5
What is the hundreds digit of 4267122?
1
What is the ten thousands digit of 490733?
9
What is the units digit of 3966350?
0
What is the hundred thousands digit of 237782?
2
What is the millions digit of 4164590?
4
What is the millions digit of 19931417?
9
What is the thousands digit of 1713667?
3
What is the tens digit of 2570290?
9
What is the tens digit of 1980477?
7
What is the ten thousands digit of 2016042?
1
What is the ten millions digit of 10271222?
1
What is the tens digit of 203107?
0
What is the ten thousands digit of 705901?
0
What is the thousands digit of 658136?
8
What is the hundreds digit of 9662170?
1
What is the ten thousands digit of 2175231?
7
What is the hundred thousands digit of 263591?
2
What is the thousands digit of 13440476?
0
What is the units digit of 7435087?
7
What is the millions digit of 13614543?
3
What is the hundred thousands digit of 369566?
3
What is the hundred thousands digit of 1391625?
3
What is the hundred thousands digit of 3467355?
4
What is the thousands digit of 374254?
4
What is the ten thousands digit of 3338751?
3
What is the tens digit of 1664064?
6
What is the hundred thousands digit of 24825245?
8
What is the units digit of 138148?
8
What is the thousands digit of 33578392?
8
What is the ten thousands digit of 162294?
6
What is the hundred thousands digit of 214011?
2
What is the hundreds digit of 449582?
5
What is the thousands digit of 32156552?
6
What is the hundreds digit of 1870299?
2
What is the units digit of 79225?
5
What is the thousands digit of 313558?
3
What is the thousands digit of 486738?
6
What is the tens digit of 29240482?
8
What is the ten thousands digit of 537875?
3
What is the thousands digit of 274144?
4
What is the hundreds digit of 63123?
1
What is the units digit of 35704?
4
What is the thousands digit of 1735530?
5
What is the units digit of 91953?
3
What is the units digit of 8701116?
6
What is the units digit of 652941?
1
What is the thousands digit of 107247?
7
What is the millions digit of 2205005?
2
What is the ten thousands digit of 91021?
9
What is the hundred thousands digit of 2263433?
2
What is the millions digit of 4924680?
4
What is the hundreds digit of 3929042?
0
What is the units digit of 21956716?
6
What is the units digit of 1484808?
8
What is the tens digit of 6851844?
4
What is the ten thousands digit of 9716840?
1
What is the thousands digit of 304538?
4
What is the hundreds digit of 224718?
7
What is the tens digit of 7463056?
5
What is the millions digit of 6848125?
6
What is the tens digit of 208619?
1
What is the ten thousands digit of 6636975?
3
What is the units digit of 342760?
0
What is the tens digit of 6244661?
6
What is the ten thousands digit of 440539?
4
What is the hundreds digit of 6692551?
5
What is the ten thousands digit of 567964?
6
What is the tens digit of 11734102?
0
What is the ten thousands digit of 10928314?
2
What is the millions digit of 1045169?
1
What is the hundred thousands digit of 5844498?
8
What is the tens digit of 96133?
3
What is the hundred thousands digit of 9575657?
5
What is the ten thousands digit of 8215077?
1
What is the thousands digit of 19394288?
4
What is the ten thousands digit of 17504712?
0
What is the millions digit of 2082927?
2
What is the tens digit of 388083?
8
What is the hundreds digit of 13601109?
1
What is the hundred thousands digit of 6958523?
9
What is the tens digit of 465591?
9
What is the ten millions digit of 31221898?
3
What is the thousands digit of 203827?
3
What is the millions digit of 2322741?
2
What is the thousands digit of 1002995?
2
What is the units digit of 613995?
5
What is the hundreds digit of 19137673?
6
What is the ten thousands digit of 19833370?
3
What is the ten thousands digit of 69414?
6
What is the tens digit of 962596?
9
What is the ten thousands digit of 1336761?
3
What is the hundreds digit of 4036776?
7
What is the thousands digit of 5208698?
8
What is the ten thousands digit of 6375151?
7
What is the units digit of 9925598?
8
What is the thousands digit of 4598257?
8
What is the tens digit of 2262509?
0
What is the hundred thousands digit of 390828?
3
What is the tens digit of 94414?
1
What is the ten thousands digit of 1929872?
2
What is the tens digit of 74655?
5
What is the ten thousands digit of 227494?
2
What is the tens digit of 11728005?
0
What is the hundreds digit of 1082509?
5
What is the ten thousands digit of 5101605?
0
What is the ten thousands digit of 32557796?
5
What is the tens digit of 107502?
0
What is the tens digit of 15835431?
3
What is the thousands digit of 20530025?
0
What is the ten thousands digit of 8532595?
3
What is the ten thousands digit of 22964?
2
What is the hundred thousands digit of 205031?
2
What is the thousands digit of 9526?
9
What is the hundreds digit of 9839884?
8
What is the hundred thousands digit of 395127?
3
What is the units digit of 72475?
5
What is the hundreds digit of 2759194?
1
What is the hundreds digit of 3122505?
5
What is the hundred thousands digit of 988391?
9
What is the hundreds digit of 1456366?
3
What is the ten thousands digit of 2222552?
2
What is the ten thousands digit of 1415870?
1
What is the tens digit of 457125?
2
What is the hundred thousands digit of 682015?
6
What is the thousands digit of 169938?
9
What is the ten thousands digit of 20577235?
7
What is the tens digit of 2576638?
3
What is the units digit of 5160825?
5
What is the hundreds digit of 62175?
1
What is the ten thousands digit of 1439913?
3
What is the units digit of 567159?
9
What is the thousands digit of 9021751?
1
What is the units digit of 1168215?
5
What is the hundred thousands digit of 253771?
2
What is the ten thousands digit of 4925565?
2
What is the hundreds digit of 1271383?
3
What is the millions digit of 7735312?
7
What is the thousands digit of 7879825?
9
What is the tens digit of 1770054?
5
What is the tens digit of 364972?
7
What is the thousands digit of 11570721?
0
What is the ten thousands digit of 162532?
6
What is the hundred thousands digit of 816529?
8
What is the hundreds digit of 107621?
6
What is the ten thousands digit of 10057012?
5
What is the hundreds digit of 2169546?
5
What is the hundred thousands digit of 4166280?
1
What is the hundred thousands digit of 16102534?
1
What is the units digit of 586243?
3
What is the units digit of 1074150?
0
What is the thousands digit of 4370837?
0
What is the millions digit of 2047097?
2
What is the hundred thousands digit of 248850?
2
What is the millions digit of 3626145?
3
What is the units digit of 2300313?
3
What is the hundreds digit of 356938?
9
What is the hundreds digit of 1902862?
8
What is the units digit of 88377?
7
What is the ten thousands digit of 397196?
9
What is the millions digit of 11192382?
1
What is the millions digit of 5665488?
5
What is the hundreds digit of 1007790?
7
What is the ten thousands digit of 34816?
3
What is the hundreds digit of 284442?
4
What is the hundred thousands digit of 3954164?
9
What is the tens digit of 150352?
5
What is the hundred thousands digit of 464901?
4
What is the tens digit of 688346?
4
What is the tens digit of 591775?
7
What is the hundred thousands digit of 5476486?
4
What is the thousands digit of 1489504?
9
What is the tens digit of 438503?
0
What is the ten millions digit of 12701116?
1
What is the hundreds digit of 1219437?
4
What is the tens digit of 322718?
1
What is the hundreds digit of 950506?
5
What is the ten thousands digit of 8728763?
2
What is the tens digit of 213487?
8
What is the millions digit of 1097463?
1
What is the hundreds digit of 2915288?
2
What is the ten thousands digit of 605446?
0
What is the tens digit of 340522?
2
What is the tens digit of 774771?
7
What is the thousands digit of 1328946?
8
What is | {
"pile_set_name": "DM Mathematics"
} |
digit of p?
7
Let n(u) = u + 7. What is the units digit of n(8)?
5
Let z(o) = 4*o**2 - o. Let m be z(1). Suppose 5*q = 15, -q = -2*a + m*q - 2. What is the units digit of a?
5
Suppose 6*y - 651 = -y. What is the tens digit of y?
9
Suppose 5*r - 12 - 193 = 0. What is the units digit of r?
1
Suppose 3*w = 3*n - 113 - 187, 0 = 5*n + 3*w - 500. What is the tens digit of n?
0
Let q(a) = a**3 + 2*a. Let z = -2 - -4. Let v be q(z). Suppose 3*i - v = -0*i. What is the units digit of i?
4
Suppose -2*h - 5*k = -215, -k = -2*h - 11 + 208. What is the hundreds digit of h?
1
Suppose 3*x + 165 = 3*r, 219 = 4*r - 2*x + 5. What is the units digit of r?
2
Suppose -2*i = i - 180. What is the tens digit of i?
6
Suppose -3*t = 2*a - 30, -3*a - t + 27 + 11 = 0. Suppose -n + 3*s = -a, 4*s + 4 = -5*n + 3*s. What is the units digit of (n + 4 - 2) + 1?
3
Let m(a) = -a**3 + 7*a**2 - a + 7. Let u be m(7). Suppose 3*q + 6 = 2*f + 5*q, -3*f - q + 13 = u. Let w = -2 + f. What is the units digit of w?
3
Let z(a) be the third derivative of -a**6/120 - 3*a**5/20 + 3*a**4/8 - 2*a**3/3 - 2*a**2. Suppose 2*x + 40 = -2*x. What is the units digit of z(x)?
6
Suppose -5*c - 39 = -129. Suppose -3*d = -3*j + c, 4*d - 5*d = -5*j + 22. What is the units digit of j?
4
Suppose -263 - 77 = -5*l. What is the tens digit of l?
6
Suppose 3 = -2*q - 3*w, 2*w = 5*w + 9. Suppose -q = -3*a + 6. Suppose 0 = a*c + 3*n + 3, 4*c - 3*n = 18 - 1. What is the units digit of c?
2
Let y(t) = -t - 1. Let r be y(0). Let u(f) = -22*f**3 - f**2 + f + 1. Let n be u(r). Suppose 14 + 10 = 4*c - 4*o, -5*c = 4*o - n. What is the units digit of c?
5
Let y(g) = -g**3 + 9*g**2 - g + 10. Let b be y(9). Suppose -2*d = -d - b. What is the units digit of -2 - d - (-12 + -1)?
0
Suppose i = 5*i + 3*k, 0 = 5*i + 2*k. Suppose i = r - 0*r. Suppose r = -4*p - 2 + 6. What is the units digit of p?
1
Let u(l) = -2*l + 6. Let b be u(4). Let i be 68/(-8) - (-1)/b. Let y = 3 - i. What is the units digit of y?
2
Let l = 7 - 0. Let g = l - 1. What is the units digit of g?
6
Let m(u) = -32*u**3. Suppose 3*w + 2 + 1 = 0. What is the units digit of m(w)?
2
Let c be (-6)/4*4/(-3). Let i be ((-1 - -1) + c)*3. Let q(t) = -t**2 + 8*t - 5. What is the units digit of q(i)?
7
Let w(p) = 0 + 4*p - 2 - 3*p. Suppose d = -3 + 6. What is the units digit of w(d)?
1
Suppose 1 = u, 0 = 2*n - 3*n + 2*u. Suppose -3*q - n*q = -60. What is the units digit of q?
2
Let z(x) = -2*x + x + 1 + 0*x**2 + x**2 - 5*x. Let h be z(6). Let r = 8 - h. What is the units digit of r?
7
Let c = 7 + -4. Let r = c - 0. What is the units digit of r?
3
Suppose -5*t + 58 = a, -t + a = -15 + 1. Suppose t = -4*p + 7*p. Suppose -p*y + 35 = 3. What is the units digit of y?
8
Suppose 5*c + 2*k - 6*k = 155, -3*c + 91 = -2*k. What is the tens digit of c?
2
Suppose -3*c + 3 = 9. Let h = 3 + c. What is the units digit of h?
1
Suppose 2*n = 5*n + 2*g - 20, 0 = 5*n - 2*g - 44. Suppose 5*s - s = -n, 3*f + 6 = -3*s. Let u(c) = -c**2 + c + 5. What is the units digit of u(f)?
5
Let d(k) = k**3 + 21*k**2 - 5*k + 5. What is the units digit of d(-21)?
0
Let c be 2/7 + (-12)/(-7). Suppose -3*z = -2*w - 0*w - 43, -4*w = -c*z + 18. What is the tens digit of z?
1
What is the units digit of 504/9 + (-3)/(-3)?
7
Let a(x) = x. Let m(s) be the second derivative of -s**3/6 + 2*s. Let v(w) = -2*a(w) - m(w). What is the units digit of v(-8)?
8
Let h(t) = t + 7. Let o be h(-5). Let v(b) = -b**2 - 7 + 11*b**o - 9*b + 17 - b**3. What is the units digit of v(9)?
0
Let a = 108 + -49. What is the units digit of a?
9
Let d(g) = 0 + 1 - 5 - g + 2*g + g**2. What is the units digit of d(-4)?
8
Let r(c) = -c - 4. Let x(p) = 1. Let f(m) = -r(m) - x(m). Let v be -2 + 0 - 8/(-4). What is the units digit of f(v)?
3
Let y = -4 + -8. What is the units digit of (2/4)/((-1)/y)?
6
Suppose 2*d - 6*d = -44. Let c be -1 + 0 + d + 2. What is the units digit of c*(16/6 + -2)?
8
Let m(d) be the third derivative of d**6/120 - 7*d**5/30 + 7*d**4/12 + 3*d**3 + 8*d**2. What is the units digit of m(13)?
1
Suppose 2 = -5*d + 32. Suppose 24 = -5*c - d. Let l(s) = s**3 + 7*s**2 + 5*s - 2. What is the units digit of l(c)?
4
What is the hundreds digit of 14/(-6)*(-1386)/14?
2
Suppose 18 = -4*d - 14. Let n be (-76)/(-6) - d/(-12). Let i = n + -3. What is the units digit of i?
9
Let c = 64 + -29. What is the units digit of 2/4 + c/10?
4
Suppose 0*b = -b + 1. What is the units digit of -1*((-1 - b) + -1)?
3
Let p(d) = -d + 5. Let x be p(5). Suppose 0 = t - x*t - 13. What is the tens digit of t?
1
Let s(h) be the third derivative of 0 - 5/6*h**3 + 0*h - h**2 + 1/24*h**4. What is the units digit of s(8)?
3
Let u(i) be the third derivative of 1/30*i**5 - 1/24*i**4 + 1/3*i**3 + 0 + 2*i**2 + 0*i. What is the units digit of u(2)?
8
Let f be (13/(-3))/(((-6)/(-18))/(-1)). Let x(v) be the second derivative of v**3/3 - 5*v**2 - v. What is the tens digit of x(f)?
1
Let i be 1/2*(0 - -10). Let s = -7 + i. What is the tens digit of 1/(s + 29/14)?
1
Suppose 0*i - 1313 = -4*f + 5*i, 5*f - 1645 = 5*i. What is the units digit of f?
2
Let s(b) = 4*b + 3. Let j be s(-2). Let i(o) = o**3 + 5*o**2 - 4*o + 5. What is the units digit of i(j)?
5
Let z be (42/(-8))/(3/(-16)). Suppose 0 = -3*p + 3 + 33. Let x = z - p. What is the tens digit of x?
1
Suppose 0 = -r - 2*c + 74, -5*r + 2*c + 370 = -0*c. Suppose -6 = -4*w + r. What is the units digit of w?
0
Let u(b) = -3*b**2 - 1 + 18*b**2 + 7*b**2. What is the units digit of u(-1)?
1
Suppose 4*y - 2*y + 12 = 0. What is the tens digit of 0 + 27 + y/6?
2
Let b = 37 + -27. Let f = b + 19. What is the units digit of f?
9
Suppose -4*p = -9*p - 4*w + 12, 6 = -p + 2*w. Suppose 3*u = q + q - 38, 4*u + 16 = p. What is the tens digit of q?
1
Suppose -3*x + 4*n + 16 = 0, 2*n + 0*n = 3*x - 8. Let g = x + -1. Let b = g + 2. What is the units digit of b?
1
Let q be 78/4*(-4)/(-6). What is the units digit of q/2*(-4)/(-2)?
3
Suppose 4*n = n. Suppose n = -h - 5*m - 14, -6*m = -5*h - 2*m + 46. What is the units digit of h?
6
Let k(b) = -b + 1. Let r(v) = 2*v - 8. Let q(d) = 5*k(d) + r(d). Let t be q(-6). Suppose -3*y + 4*y = 4*i - t, -2*y = -2. What is the units digit of i?
4
What is the tens digit of ((-21)/(-84))/(1302/(-1304) - -1)?
6
Suppose 0 = -3*t + 4*g + 580, 3*t - 2*g + 118 - 690 = 0. What is the tens digit of t?
8
Let i(y) = y**2 + y - 4. Let w be i(5). Let x = w - 13. What is the units digit of x?
3
Let u = 315 + -73. What is the tens digit of u?
4
Suppose 0 = -2*z + 77 - 7. Suppose -z = -5*d + 3*m + m, 4*m - 35 = -5*d. Let q = d + 0. What is the units digit of q?
7
Let x(d) be the first derivative of 3*d**2/2 + 9*d - 9. What is the units digit of x(9)?
6
Suppose -2*w - 2*j = -112, 2*w - 114 = -0*j - 3*j. What is the tens digit of w?
5
Let j be (5 + -3)/(1/2). Suppose j*f = 2*f. Let x = 4 - f. What is the units digit of x?
4
Let i = -107 - -218. What is the tens digit of i?
1
Suppose -9 = 3*q - 3*l, 0 = -0*q + q - 4*l + 18. Let u = 42 - 39. Suppose -q*s = -3*r - 21, 23 = -4*r + u. What is the units digit of s?
3
Let v(g) = g**3 - g + 5. Suppose -3*j + 9 = 5*q, -4*q - 5*j + 4 = -11. Let f be v(q). Suppose f*i = 3*i + 8. What is the units digit of i?
4
Let q(l) be the first derivative of l**3/3 + l**2 - l + 1. Let o be q(-3). Suppose -2*g + 3*v + 1 = 0, -5*v - 5 = -o*g - 3*g. What is the units digit of g?
2
Let a = -52 - -90. What is the tens digit of a?
3
Let i(v) = v**3 - 2*v**2 - 2*v + 1. Let r be i(2). Let a = -7 - r. What is the units digit of (-10)/a + 1/(-2)?
2
Let o = -2 + 11. Suppose 6*m = 3*m + 3*q - o, 5*m = -4*q + 12. Suppose 0 = 5*d - 5, m*w + d = -w + 4. What is the units digit of w?
3
Let b be (220/15)/((-4)/(-6)). Suppose -2*d = -4*d + b. What is the units digit of d?
1
Let a = 16 + 6. What is the units digit of a?
2
Let a(q) = 4*q**2 + 10*q - q**3 + 0*q**2 - 5 - 4. Let c be a(6). What is the tens digit of (c/1)/((-9)/6)?
1
Suppose -3*r - 13 = v + r, -5*v = -r + 2. Let h be v/3 - 4/6. What is the units digit of (4 - h) + 10/5?
7
What is the units digit of 98/4 - 1/2?
4
Suppose -5*o + 39 = -2*x, 0 = -5*o + 2*x - x + 37. Let i = o - 2. Let y = i - 3. What is the units digit of y?
2
Let v = 6 + -6. Suppose -4*a - 13 = -3*o + 8, v = 2*a - 6. What is the units digit of o?
1
Suppose 2*f = 138 + 8. What is the tens d | {
"pile_set_name": "DM Mathematics"
} |
000829
Round 9031.13 to the nearest one thousand.
9000
Round 1205435.3 to the nearest one hundred thousand.
1200000
Round -8270060 to the nearest one million.
-8000000
What is -66751.5 rounded to the nearest 10?
-66750
Round 21.72387 to 1 decimal place.
21.7
Round -8.206356 to three dps.
-8.206
What is 3.4309715 rounded to 3 dps?
3.431
Round 32534.06 to the nearest ten.
32530
What is -131349000 rounded to the nearest 1000000?
-131000000
What is 24376.6 rounded to the nearest 1000?
24000
Round 0.03137797 to five decimal places.
0.03138
What is 7.339826 rounded to 3 dps?
7.34
What is -0.0000502115 rounded to 6 decimal places?
-0.00005
What is -0.00007994182 rounded to six decimal places?
-0.00008
What is 0.0006992745 rounded to four decimal places?
0.0007
What is -926490 rounded to the nearest ten thousand?
-930000
Round -213635.6 to the nearest ten thousand.
-210000
What is 503850 rounded to the nearest 1000000?
1000000
Round 0.000003489176 to seven dps.
0.0000035
Round 2602139.1 to the nearest one thousand.
2602000
What is -747330 rounded to the nearest one hundred thousand?
-700000
What is -4324.74 rounded to the nearest one hundred?
-4300
What is -291258 rounded to the nearest 1000?
-291000
What is 1.405509 rounded to three decimal places?
1.406
Round -0.0003220393 to 6 decimal places.
-0.000322
What is 149978.8 rounded to the nearest 1000?
150000
What is 1.112535 rounded to three decimal places?
1.113
Round 2411328.4 to the nearest one thousand.
2411000
What is 0.000007058491 rounded to seven decimal places?
0.0000071
Round 622.723 to the nearest 100.
600
Round -351.71569 to 1 decimal place.
-351.7
What is 0.076046 rounded to 1 dp?
0.1
Round 0.01004355 to five dps.
0.01004
Round 1952035.2 to the nearest one hundred thousand.
2000000
Round -0.0002017756 to 4 dps.
-0.0002
What is -11991.74 rounded to the nearest 1000?
-12000
What is 46575750 rounded to the nearest 1000000?
47000000
What is 0.000688033 rounded to 5 decimal places?
0.00069
What is -0.0032708927 rounded to 4 decimal places?
-0.0033
Round -518.2255 to the nearest one hundred.
-500
Round 0.0000130587 to six decimal places.
0.000013
What is -0.00000074411857 rounded to seven decimal places?
-0.0000007
Round 0.000576439 to 6 dps.
0.000576
What is 0.0002686102 rounded to seven dps?
0.0002686
What is -0.01434968 rounded to four dps?
-0.0143
What is 1846934600 rounded to the nearest 100000?
1846900000
What is 1182153 rounded to the nearest ten thousand?
1180000
What is -7.06238 rounded to zero decimal places?
-7
What is 8772.3 rounded to the nearest 10000?
10000
What is -1358.669 rounded to the nearest one hundred?
-1400
Round 5105709 to the nearest one million.
5000000
Round 43306070 to the nearest 100000.
43300000
What is 0.0001620874 rounded to six dps?
0.000162
What is -0.000029768 rounded to 6 decimal places?
-0.00003
What is 0.03998089 rounded to 2 decimal places?
0.04
What is -0.014025293 rounded to 4 dps?
-0.014
Round 0.0005806736 to 5 decimal places.
0.00058
Round -6129.9 to the nearest 100.
-6100
Round -99.5377 to 0 decimal places.
-100
What is -324.014 rounded to zero dps?
-324
What is 0.01484956 rounded to five dps?
0.01485
What is 0.000011679995 rounded to 6 dps?
0.000012
Round -0.03715367 to three dps.
-0.037
What is 0.000040265 rounded to 5 dps?
0.00004
What is 0.0009486751 rounded to 4 decimal places?
0.0009
Round -21726360 to the nearest ten thousand.
-21730000
What is 111.7275 rounded to the nearest one hundred?
100
Round 955843780 to the nearest 100000.
955800000
Round -0.002160559 to two decimal places.
0
Round -0.8917374 to three decimal places.
-0.892
What is -0.00018278698 rounded to five dps?
-0.00018
Round 301.56 to the nearest one hundred.
300
What is -145181200 rounded to the nearest one hundred thousand?
-145200000
Round 5.08731 to zero dps.
5
Round 0.0000282 to 5 dps.
0.00003
What is -3120111400 rounded to the nearest one million?
-3120000000
Round 970.9156 to the nearest one hundred.
1000
What is 487.3731 rounded to the nearest 10?
490
What is -0.1581874 rounded to four dps?
-0.1582
What is 0.412217 rounded to 3 decimal places?
0.412
Round -3100390 to the nearest 1000000.
-3000000
Round 213305300 to the nearest 100000.
213300000
Round -2.67626 to one dp.
-2.7
What is 0.0000888219 rounded to five dps?
0.00009
What is -717321000 rounded to the nearest 100000?
-717300000
Round 211275000 to the nearest one hundred thousand.
211300000
What is -0.00000292777 rounded to six decimal places?
-0.000003
Round 1485881 to the nearest one hundred thousand.
1500000
What is 202.13587 rounded to 2 decimal places?
202.14
What is -10.8325 rounded to the nearest 10?
-10
Round -720.6051 to the nearest 10.
-720
Round 637.18566 to the nearest 100.
600
What is -0.0001985253 rounded to 5 decimal places?
-0.0002
Round -0.000051067951 to seven decimal places.
-0.0000511
Round 0.0000026738 to 7 decimal places.
0.0000027
Round 3583.3 to the nearest one thousand.
4000
What is 0.0000229468 rounded to 7 dps?
0.0000229
What is -53583 rounded to the nearest one thousand?
-54000
What is -613.578 rounded to the nearest ten?
-610
What is 5412004 rounded to the nearest 1000000?
5000000
What is 278208.4 rounded to the nearest 1000?
278000
Round 0.0000395 to six dps.
0.00004
Round 0.09182878 to 3 decimal places.
0.092
Round -0.574773 to three decimal places.
-0.575
What is -702.8535 rounded to 1 dp?
-702.9
What is 0.02262433 rounded to two dps?
0.02
What is -24.41293 rounded to one dp?
-24.4
What is -0.1006535 rounded to two decimal places?
-0.1
Round 0.06503002 to 4 dps.
0.065
Round -945304 to the nearest one hundred thousand.
-900000
What is -0.00237629 rounded to four dps?
-0.0024
What is 31943296 rounded to the nearest 1000000?
32000000
What is -2359.927 rounded to the nearest 100?
-2400
Round -0.46709 to 2 dps.
-0.47
Round -1812100 to the nearest one million.
-2000000
Round 504560 to the nearest one million.
1000000
What is -0.000000685 rounded to 6 decimal places?
-0.000001
What is 0.00005690748 rounded to five dps?
0.00006
Round -0.029514665 to 3 decimal places.
-0.03
What is -0.00011751439 rounded to five decimal places?
-0.00012
Round 624.5691 to 1 decimal place.
624.6
Round 2078.198 to the nearest 100.
2100
Round -0.0000302843 to seven decimal places.
-0.0000303
What is 0.09764694 rounded to 3 decimal places?
0.098
Round -1.796732 to one dp.
-1.8
What is -0.015892735 rounded to 5 decimal places?
-0.01589
Round 0.0004885707 to six dps.
0.000489
Round -1.4350855 to 2 dps.
-1.44
Round 962533 to the nearest one thousand.
963000
Round 0.0001206273 to five dps.
0.00012
What is 10.8176 rounded to 0 decimal places?
11
What is 24222.81 rounded to the nearest 10000?
20000
What is -0.0565028 rounded to 2 dps?
-0.06
Round 0.000000697795 to seven decimal places.
0.0000007
What is -98.4785 rounded to one decimal place?
-98.5
Round 0.000017197 to 6 decimal places.
0.000017
What is 660.14 rounded to the nearest 100?
700
What is -0.0004905847 rounded to five decimal places?
-0.00049
What is -207308.73 rounded to the nearest ten thousand?
-210000
What is -0.0000960065 rounded to 5 dps?
-0.0001
What is 562363000 rounded to the nearest one million?
562000000
Round -3.85276 to 1 dp.
-3.9
Round -23337.464 to the nearest 10.
-23340
What is 3999474 rounded to the nearest one million?
4000000
What is 833.9919 rounded to the nearest integer?
834
What is 45111600 rounded to the nearest one hundred thousand?
45100000
What is -0.00238281 rounded to four decimal places?
-0.0024
Round -71885 to the nearest ten thousand.
-70000
Round -4.377988 to one decimal place.
-4.4
Round 11957290 to the nearest one million.
12000000
Round -976472.1 to the nearest 1000.
-976000
Round 0.000338573 to 4 decimal places.
0.0003
What is 0.00365045 rounded to five dps?
0.00365
Round 939190.2 to the nearest one thousand.
939000
Round -44.689966 to 1 decimal place.
-44.7
What is -335.8372 rounded to 0 decimal places?
-336
What is 0.000002856993 rounded to 7 decimal places?
0.0000029
What is 0.00001327254 rounded to six decimal places?
0.000013
Round 50393.81 to the nearest ten thousand.
50000
Round 309132000 to the nearest one million.
309000000
Round 0.0027447817 to 4 decimal places.
0.0027
Round -1222450 to the nearest one hundred | {
"pile_set_name": "DM Mathematics"
} |
9 + 9. Let x = s + 11. Put -3, x, 3 in increasing order.
-3, x, 3
Suppose 3 - 1 = 2*i. Let p be i + (1 - (-3)/1). Suppose -p*s = 4*t - 9 + 1, 5*s = -t + 17. Put -5, s, 6 in descending order.
6, s, -5
Let u(x) = -6*x**2 + 22*x - 9. Let t be u(3). Let r = 6 - 1. Suppose -v + 0*p - 9 = -p, p - 29 = r*v. Put v, t, -2 in decreasing order.
t, -2, v
Let v be (-1)/(1/(-6) - 21/(-18)). Suppose 0*g = 2*g - 6. Put v, 4, g, -4 in increasing order.
-4, v, g, 4
Suppose -3 = -r, -b = -0*b + 2*r - 6. Let f(n) = -21*n + 213. Let m be f(10). Sort 5/2, b, m, -3/7 in ascending order.
-3/7, b, 5/2, m
Let f be 9/(-4)*(88/(-12) + 6). Suppose -u + 0*u + 1 = 0. Let c be (0*u/2)/(-1). Sort c, f, -3 in decreasing order.
f, c, -3
Let s = -42 + 44. Suppose -5*t - s = -7. Sort t, 2, -5 in ascending order.
-5, t, 2
Let n(w) = 3*w + 32. Suppose -16*u + 48 = -20*u. Let c be n(u). Sort c, -3, -2 in descending order.
-2, -3, c
Let l = 18 + -13. Let z = 94 + -96. Sort l, z, 0.5.
z, 0.5, l
Let v = -0.06 + 1.66. Let p = 1.68 - v. Let a = p + -4.08. Sort -2, a, -2/7 in increasing order.
a, -2, -2/7
Let p = 1.73 + -1.43. Let t = -104 - -94.7. Let g = t - -9. Put p, g, 8 in decreasing order.
8, p, g
Let m = 0.61 + -8.41. Let u = m - -4.8. Put 2, u, -5/6, -1/7 in increasing order.
u, -5/6, -1/7, 2
Let a be ((-12)/54 - (-2)/9)*-1. Sort 1, a, -6, -1 in increasing order.
-6, -1, a, 1
Let g = 185.4 + -50.9. Let y = g + -135. Sort y, 0, -0.24, -2 in ascending order.
-2, y, -0.24, 0
Suppose -2*j + 10 = -4*b, 3*j - 8*j + 4*b + 19 = 0. Let s = 46 + -31. Suppose -2*i = -5*i - s. Sort j, i, 1 in increasing order.
i, 1, j
Suppose 3*k + k - 21 = -5*j, -k + 4*j = 0. Suppose -3*y - d + 13 = 0, -k*y = -y + 4*d - 25. Let n be (-7 - -8)/(y*1). Sort 2, n, 0 in increasing order.
0, n, 2
Let j(p) = -p**2 + 14*p - 43. Let x be j(6). Let z be (-2)/8 + (-9)/(-36). Sort z, -5, 4, x in decreasing order.
x, 4, z, -5
Let z = -0.3 + 7.3. Let n = z - 6.6. Let k = 6 - 10. Put n, k, -5 in increasing order.
-5, k, n
Let j = 250/461 + -416861/2766. Let b = j + 150. Sort -0.2, b, 12 in ascending order.
-0.2, b, 12
Let l = 2/75 - -16/25. Let a = -8 - -8.3. Let t = -3 - -4. Put a, l, t in increasing order.
a, l, t
Let j = 400 - 404. Let x = 0 + -2. Sort -5, j, x in decreasing order.
x, j, -5
Let m be 6 - (81/(-9))/(-9). Sort -2/25, m, -5, 1/3 in decreasing order.
m, 1/3, -2/25, -5
Let c = -141 - -226. Sort -3/4, 1, -1/3, c.
-3/4, -1/3, 1, c
Suppose 3*u - 5*t + 10 = 0, 0 = 2*u - 0*t - t + 2. Sort 2, -1, u, -23 in descending order.
2, u, -1, -23
Let c = 19 - 19. Suppose x - 3*x = 0. Suppose m + d + 1 = -x, 3 = -3*m + 5*d. Sort m, 1, c in ascending order.
m, c, 1
Let w be ((-2)/10)/(9/(-135)). Sort 0, -3, -1, w in descending order.
w, 0, -1, -3
Suppose 2*f - 5*f = -3*k + 9, 4*f - 2*k + 2 = 0. Sort -17, f, -1, -3 in increasing order.
-17, -3, -1, f
Let k(i) = -16*i + 102. Let p be k(8). Put -2, 4, p, 2 in ascending order.
p, -2, 2, 4
Let x = 816 - 821. Sort x, -1, 2, 1 in increasing order.
x, -1, 1, 2
Let p = 464 - 459. Sort p, 58, 2, 3 in descending order.
58, p, 3, 2
Suppose -12*b - 15 = -10*b + 5*w, -w = -b + 10. Put b, 3, -111, -5 in increasing order.
-111, -5, 3, b
Let h = 2.3 + -1.9. Let u be 1/(-2) + (-143)/(-130). Sort 0, h, u.
0, h, u
Let s = 4.557 + -0.557. Sort -3, s, -3/8 in decreasing order.
s, -3/8, -3
Let w = -0.5 - -0.48. Let y = 0.08 - w. Put -5, -0.4, y in increasing order.
-5, -0.4, y
Let c(s) = -3*s**2 + s + 42. Let p be c(4). Let g = 5 + -9. Sort g, -3, p, 2 in increasing order.
g, -3, p, 2
Let p = 1.123 - 1.223. Sort 2/11, 0.17, p.
p, 0.17, 2/11
Suppose 7 = 2*l - q, -15 = -4*l + 2*q + q. Let n = 2127 - 2130. Put l, -4, 3/2, n in increasing order.
-4, n, 3/2, l
Let g be ((-2)/2 - -2)*-9. Let h = 13 + g. Let a be (6/8)/(2/8). Put h, a, -1 in decreasing order.
h, a, -1
Let o(n) = -n**3 + 8*n**2 + 4*n + 42. Let f be o(9). Put 7, f, 0, -10 in decreasing order.
7, 0, f, -10
Let s = -36194 + 36197. Let o = 1 - -1. Sort o, 5, -2, s in descending order.
5, s, o, -2
Suppose 0*h + 180 = 5*h. Suppose -4*k + 5*t + h = t, -3*k - 5*t + 43 = 0. Let x = 20 - k. Put x, -3, -4 in ascending order.
-4, -3, x
Let j(s) = -s**3 - 14*s**2 + 40*s + 130. Let q be j(-16). Put 5, q, -23, -5 in descending order.
5, q, -5, -23
Let j = -17/6 + 2. Let f = -62 + 57. Let p = 3 - 2.9. Sort p, j, f in increasing order.
f, j, p
Let w = -185 + 187. Let j be (-18)/(-8) - 2/8. Let b be j/1 - (-3)/3. Sort b, -1/5, w in descending order.
b, w, -1/5
Suppose -14*u = -139 + 13. Put -2, u, -4, -3 in increasing order.
-4, -3, -2, u
Suppose -2 = -2*m, 4*u - 11*m + 14 = -13*m. Sort -3, 1, u, 70 in increasing order.
u, -3, 1, 70
Let j be (-4)/((-16)/(-12)) + (1 - 4). Let q be (-7)/(-21) + -3 - 4/j. Let t be ((-1)/2)/(2/(-48)). Sort q, t, -4 in descending order.
t, q, -4
Suppose 4*t + 14 = n, -4*t + 0*n - 16 = -2*n. Suppose -8*o + 6*o = -6. Suppose 0*k - 22 = -2*q - 3*k, o*k - 17 = -q. Put q, t, 1 in decreasing order.
q, 1, t
Let t = 1623 + -1620. Let z = -4.94 - 0.06. Sort z, -1, 2, t.
z, -1, 2, t
Let l(m) = -3*m + 12. Let r be l(3). Sort -0.8, -1/8, r, -5 in ascending order.
-5, -0.8, -1/8, r
Suppose -2*h - 3*k + 28 = 0, h + 108 = 6*h - 2*k. Suppose 16*f - 20 = h*f. Put f, 4, 0 in descending order.
4, 0, f
Let c = -108 + 107.992. Sort -3, c, 2, -4 in decreasing order.
2, c, -3, -4
Let a = -0.4 + -0.1. Let w = 85.7 - 133.8. Let f = w - -48. Put a, -5, f in ascending order.
-5, a, f
Let y = 186 - 181. Put 2/15, 0.09, y in ascending order.
0.09, 2/15, y
Suppose 156*m - 3*p = 155*m - 8, 0 = -2*p - 4. Let d = -4/21 - -86/231. Sort d, 2, m in ascending order.
m, d, 2
Let m = -0.1 + 0.3. Let l = 2608 + -2607.6. Put m, l, 0, -1 in descending order.
l, m, 0, -1
Let g be 18/((-6)/(-2)) - -1. Let b = 14 + -14. Sort -4, b, g in decreasing order.
g, b, -4
Suppose -2 - 2 = -4*z. Let n(b) = 2*b**2 - 14*b + 4. Let d be n(7). Sort -1, z, d.
-1, z, d
Suppose 176 = -16*o + 128. Suppose 0 = u - 3*u. Put u, o, -1, 2 in descending order.
2, u, -1, o
Let a = -200/1253 - -3/179. Put 190, 1, a in decreasing order.
190, 1, a
Let g be 7042/105 + 2/(-5). Let c = -68 + g. Let p = -0.184 - -0.084. Sort p, c, 0.2.
c, p, 0.2
Let z(u) = -u**2 + 6*u + 5. Let f be z(6). Let p = -66 + 64. Let x = p - -3. Sort f, -8, x in decreasing order.
f, x, -8
Suppose -6*i - 49 = -229. Sort 4, -2, -5, i in decreasing order.
i, 4, -2, -5
Let z(c) be the first derivative of c**2/2 + 3*c + 5. Let k be z(-5). Put k, 3, 1/5 in ascending order.
k, 1/5, 3
Let s be (10/8)/((-4)/((-112)/(-7))). Sort 5, s, -1, 0 in descending order.
5, 0, -1, s
Let i = -338 + 340.01. Let d = i + -0.01. Let c = -896 + 895.9. Sort c, d, -0.5 in ascending order.
-0.5, c, d
Let t(l) = -l**3 - 7*l**2 - 9*l - 3. Let g be t(-6). Suppose y = 4*y - 9. Put y, g, -1 in ascending order.
-1, y, g
Let u be -1 - ((-21)/(-18) - 2). Let s = 3.4 + -3.4. Put 0.1, u, s in decreasing order.
0.1, s, u
Let x be (13/(91/(-4)))/((-45)/21 + 2). Let n(p) = p - 1. Let c be n(3). Put c, x, -4, -3 in decreasing order.
x, c, -3, -4
Let m(j) = -j**2 - 4*j + 16. Let f = -25 - -19. Let x be m(f). Sort -3, x, -6.
-6, -3, x
Let d = 40.5 + -39. Let h = d + -1. Sort 1, 0.01, h in ascending order.
0.01, h, 1
Let u = 8 - 5. Suppose 5*t = -y + 21, -2*y + 9 = 2*t - y. Suppose 36 = -t*w + 4*l + 12, 4 = l. Put u, -3/2, w in ascending order.
w, -3/2, u
Suppose 199*y - 104 = 195*y. Put -3, 0, -5, y in descending order.
y, 0, -3, -5
Suppose 0 = -3*v + 3*c - 3, -5*v + c - 5 = 4. Suppose 127 = 5*t + d, 121 = 5*t + d - 3*d. Let y = 22 - t. Put -4, v, y in ascending order.
-4, y, v
Suppose 5*h - 3*h - 132 = 0. Let w be (h/(-9))/(2/3). Let l be -2 + 5*3/15. Put w, l, -5 in ascending order.
w, -5, l
Suppose -6 = 3*p + 3, 4*p = w - 17. Suppose w = -4*n - n. Sort 3, -5, n.
-5, n, 3
Let f = 0.279 - -4.721. Sort f, -3, -0.2, 2 in descending order.
f, 2, -0.2, -3
Let z = 11 - 13. Let p(r) = r**2 - 5*r. Suppose 0*q + 20 = 5*q. Let v be p(q). Sort 0, z, v.
v, z, 0
Let a = 514 - 366. Sort 3, 1, a in increasing order.
1, 3, a
Let z(f) = 13*f - 1. Let w be z(1). Suppose -w = 3*l, 2*b + 4*l = -0 - 24. Put 1, b, 4, -1 in descending order.
4, 1, -1, b
Let i be (-14)/180 - (110/90 - 1). Sort -4/5, 4, 0.4, i.
-4/5, i, 0.4, 4
Suppose g = s + 2, -g = -0*g - 1. Sort 1, 0, s, 2 in descending | {
"pile_set_name": "DM Mathematics"
} |
ivisor of g and 11?
11
Suppose -3*p - 52 = r, -3*p + r = -4*r + 64. Let d = p - -21. Calculate the greatest common factor of d and 1.
1
Let b(u) = 7*u**2 + u. Let m be b(1). Let i = m + -3. Calculate the highest common factor of 5 and i.
5
Suppose t + u = -3*u - 5, 3*t = 2*u - 29. Let m = -7 - t. Let k be (-1)/m - 57/(-6). Calculate the highest common factor of 6 and k.
3
Let u(j) = j - 2. Suppose -5*z + 30 = -5*q, -2*q - 2*q = 2*z - 24. Let w be u(z). Calculate the greatest common divisor of w and 30.
6
Let h = 44 - 14. Calculate the highest common divisor of h and 270.
30
Suppose -4*b + 40 = 4*p, -7*b + 10 = -3*b - 2*p. Suppose i - 60 = -3*q + 6*q, i - 5*q - 70 = 0. Calculate the highest common factor of i and b.
5
Suppose 3*s + 4 = 4*s. Let j be (-2)/(-6) - 258/(-9). Suppose 35 = 4*a - j. What is the greatest common factor of a and s?
4
Let k(h) = -2*h - 15. Let v be k(-12). Calculate the greatest common factor of 3 and v.
3
Suppose s - u - 2*u - 14 = 0, 2*s = u + 18. Calculate the greatest common divisor of s and 88.
8
Suppose 102 + 74 = 4*r. What is the highest common divisor of 4 and r?
4
Let k = 16 + -13. Suppose -5*h + k*g = -0*g - 60, -2*g = 0. Calculate the highest common factor of h and 2.
2
Let v = -6 + 21. Let b(y) = 3*y**2 + 3*y. Let l be b(-2). Suppose -2*n = -l*n + 240. Calculate the greatest common divisor of v and n.
15
Let p = -21 + 12. Let l(j) = -2*j - 11. Let c be l(p). Calculate the highest common factor of c and 49.
7
Suppose -4*h + 5*h - 4 = 0. Suppose h*s - 20 - 4 = 0. Calculate the highest common divisor of s and 42.
6
Suppose 0 = 4*j, d + 3*j = 2*d - 8. What is the greatest common divisor of 64 and d?
8
Let t = -54 - -59. Calculate the greatest common factor of 15 and t.
5
Let v be (-18)/4*((-27 - 2) + 3). Suppose -3*g + 0*i = 3*i - 36, 2*g - 27 = i. What is the highest common factor of v and g?
13
Let c be 26/(-39)*57/(-2). Calculate the highest common divisor of 38 and c.
19
Let w = 3 + 1. Suppose -n = t - 6, 3*n - w = n + 2*t. Suppose 3 = -n*f + 219. What is the highest common factor of f and 6?
6
Suppose -61 - 563 = -3*w. Let f be (w/(-6))/((-2)/15). Suppose -292 = -5*i - 3*v, -5*i - 2*v + 7*v = -f. What is the highest common divisor of i and 7?
7
Suppose 0*s + 200 = 10*s. What is the greatest common divisor of 4 and s?
4
Suppose -12*i + 548 = 68. Calculate the highest common factor of 5 and i.
5
Let q be (-1)/4 + (-2)/(-8). Suppose 2*u - 140 = -q*u. Suppose 4*d + 3*y = -d + 41, 0 = d - 4*y - 22. What is the highest common divisor of d and u?
10
Let g be 10/35 + (-54)/(-7). Calculate the greatest common factor of 72 and g.
8
Let l be (-2)/(-6) + (-16)/(-6). Suppose -5*w = -m - 416, -l*m + 32 = -3*w + 284. Suppose w = 4*v + 23. What is the greatest common divisor of v and 10?
5
Let a(p) = 8*p**2 - 3*p - 4. Let b be a(4). Let q = -33 - -47. Calculate the highest common factor of q and b.
14
Suppose 3*o - 4*d + 4 = 2*o, 5*d - 14 = -o. What is the greatest common divisor of 12 and o?
4
Let c = -116 - -193. Suppose o - 2*o + c = 0. What is the greatest common divisor of 11 and o?
11
Let m = 12 - 10. Suppose -b = 3*b + m*v - 18, 0 = 4*b - v - 21. Calculate the highest common factor of 35 and b.
5
Suppose -2*b = -4*d + 132, b - 125 = -3*d - 16. Let f = 7 + 0. Calculate the highest common factor of d and f.
7
Suppose -21*c + 2*c = -798. What is the greatest common factor of 56 and c?
14
Suppose 3*x + 122 = 2*k - 195, -k - 3*x + 145 = 0. What is the greatest common divisor of 14 and k?
14
Suppose 0 = -3*v - 20 - 10. Let z = v - -19. What is the highest common factor of 72 and z?
9
Let h = -9 - -1. Let a = h + 17. Let c = 1 - -44. Calculate the greatest common divisor of c and a.
9
Let w be 2 + -1 + 25 + -1. Suppose 6*f - 22 = -y + 2*f, y + 5*f - w = 0. Let h = 31 - y. Calculate the greatest common factor of 14 and h.
7
Let b(v) = v**2 - 15*v + 18. Let j be b(14). What is the highest common divisor of 6 and j?
2
Suppose 3*x - x = -o + 144, -2*x - 156 = -o. What is the highest common divisor of o and 30?
30
Suppose 0 = -2*x - 3*j + 3 + 11, 0 = -3*x - 5*j + 20. Let u(h) = 3*h**2 + 2*h + 2. Let l = -2 - 0. Let m be u(l). What is the highest common divisor of x and m?
10
Let d be (-72)/(-2)*(-60)/(-18). Suppose -2*w + 4*p = -22, 5*p = 3*p + 4. Calculate the greatest common factor of w and d.
15
Suppose -167 = -5*n + 3*i, 2*n - 3*i - 64 = i. Calculate the greatest common divisor of n and 17.
17
Suppose -2*s + 0*g + 3*g + 237 = 0, 485 = 4*s + 5*g. Calculate the highest common factor of 15 and s.
15
Suppose 3*j + 46 = 5*l + 6*j, -4*l + 2*j + 28 = 0. Suppose -1 = -f + l. Calculate the highest common factor of 1 and f.
1
Let g(c) = 6*c**2 + c + 1. Let x be g(2). Let v(j) = -9*j - 5 + 5. Let s be v(-1). What is the highest common factor of s and x?
9
Let k be 1/(-3) + (-32)/(-6). Let u = 8 - k. Let v(t) = -t + 4. Let a be v(-5). Calculate the greatest common factor of u and a.
3
Suppose 10 = 2*o, 3*b - 2*o - 57 = 11. Let u = -36 + 49. What is the greatest common factor of b and u?
13
Suppose -25 = -2*x - 1. Calculate the highest common divisor of x and 36.
12
Let c(y) = y**3 - 2*y**2 - 16*y - 8. Let s be c(6). Calculate the highest common factor of 10 and s.
10
Let s be (1 - 8)*(-4 + 3). Let d = s - -1. Calculate the greatest common divisor of d and 8.
8
Let z be (5 - 1)/(3/15). Calculate the greatest common factor of z and 140.
20
Let g(t) = -t**2 - 10*t - 7. Let v be g(-4). Let p(h) = -h + 17. Let z be p(0). Calculate the highest common divisor of z and v.
17
Let a = 5 - -9. Suppose 13 - 5 = -2*b. Let x(j) = -j**3 - 2*j**2 - j - 1. Let t be x(b). What is the highest common factor of t and a?
7
Suppose 4*u - 151 = -3*w, -33 = -4*u - 2*w + 121. What is the highest common divisor of 10 and u?
10
Suppose 8*u - 45 = 3*u. What is the greatest common factor of 9 and u?
9
Let z be 1*(31 - 1 - 3). Suppose 2*j + 6 - 24 = 0. Calculate the greatest common divisor of j and z.
9
Let s = -90 + 110. Calculate the greatest common factor of s and 80.
20
Suppose 4 = r - 132. Let c be 12*((-15)/(-6) - 2). Suppose -h = -2*q + 41 - c, 22 = q - 5*h. What is the greatest common factor of r and q?
17
Let r(c) = -24*c + 2. Let k be (5 + -3 - 6)/1. Let w be r(k). What is the highest common factor of 14 and w?
14
Let g(j) = -j**3 - 8*j**2 + 2*j + 17. Let b be g(-8). What is the highest common divisor of b and 13?
1
Let u = -29 + 49. Calculate the greatest common divisor of u and 5.
5
Suppose -5*j - 9 = -2*c, -3*c = -0*c - 6. Let s be -1 + (44 - (j - 1)). What is the greatest common divisor of 30 and s?
15
Suppose 0*d - 4 = 4*d, -d = 4*a - 987. What is the greatest common divisor of 19 and a?
19
Let d(i) = i**2 - 7*i + 6. Let w(a) = -a**3 + 7*a**2 - a + 1. Let q be w(7). Let c be d(q). What is the greatest common divisor of c and 56?
28
Let t be (5/10)/(2/8). Let z = t + 0. Let k be (-117)/18*z*-1. What is the greatest common divisor of 91 and k?
13
Let z(i) = i**2 - 3*i - 2. Let a be z(4). Suppose 2*g - 4*l - 36 = 0, a*g = 2*l + 16 + 12. Calculate the greatest common factor of g and 30.
10
Let x be (-40)/(-6)*(-3)/2. Let s be (9/3)/((-6)/x). What is the greatest common factor of 10 and s?
5
Suppose 0*h = 4*l - 3*h - 108, 0 = -3*l + 5*h + 70. Calculate the greatest common factor of 45 and l.
15
Let b(f) = -2 + 6 + 2*f - 4*f. Let y be b(-7). Let k(n) = -n**3 + 6*n**2 + 4*n - 3. Let s be k(3). Calculate the greatest common factor of s and y.
18
Let h be (0 + 1)/(4/116). Let k = h + -16. Let q = 27 - k. Calculate the highest common factor of 35 and q.
7
Suppose -48 = 8*j - 192. Suppose -5*y + o + 130 = 0, -21 - 1 = -y + o. Calculate the greatest common factor of j and y.
9
Suppose 33 = 4*y - 5*r, -y + r = -0 - 8. What is the highest common factor of 3 and y?
1
Let a = -3 + 3. Let f = 3 + a. Suppose 0 = -g - f + 36. What is the highest common factor of 22 and g?
11
Suppose 3*q - 1 - 8 = 0. Let v = -3 + 4. Suppose 3*d = -4*w + 2*d + 10, -v = 3*w + 5*d. Calculate the highest common factor of w and q.
3
Let v(o) = 16*o - 5. Let h be v(10). What is the highest common factor of h and 31?
31
Let t(m) = -m - 2*m + 4*m + 2. Let o = 34 - 25. Let z be t(o). What is the greatest common divisor of z and 11?
11
Let d be 2/(-3)*(-6 - 0). Let n be d/(-14) - (-107)/7. What | {
"pile_set_name": "DM Mathematics"
} |
+ sqrt(2448))*2)).
-12244 + 252*sqrt(17)
Simplify -4 + -6*(-1 + sqrt(1700) + 0)**2 - ((5 + sqrt(68) + (3*(sqrt(68) - -2*sqrt(68)) - sqrt(68)))*-5)**2.
-148535 - 4380*sqrt(17)
Simplify (sqrt(32)/sqrt(2)*-3)/(sqrt(24)/(sqrt(15)/sqrt(5))) + (sqrt(2) + sqrt(2) + 3 + -3 - sqrt(2)) + sqrt(18)*-1.
-5*sqrt(2)
Simplify 1*(5 + -5 + (-2*-3*sqrt(119) + sqrt(119))/(sqrt(343)*4)).
sqrt(17)/4
Simplify (sqrt(65)/(sqrt(180)*-4 + sqrt(5)))**2 + 0 + (3 + (sqrt(52) - sqrt(156)/sqrt(3)) + -5)**2.
2129/529
Simplify (((-5 + 2 + sqrt(12))*-6 - (2 + ((sqrt(147) - sqrt(147)*2) + sqrt(147))*-1)) + 1)**2.
-408*sqrt(3) + 721
Simplify 3 + (-4 + (sqrt(112) + (-4 + sqrt(112))*4)*-4 + -4)**2.
-8960*sqrt(7) + 47939
Simplify (1*sqrt(1573) + -5 + -2 + (-2*(sqrt(1573) - -1*sqrt(1573)) + sqrt(1573) - (-1 + sqrt(1573))*-2)**2)*-5.
-7850 - 275*sqrt(13)
Simplify -1 + -4*(5 + -4 + -3 + ((0 + sqrt(325))**2*-3 - (sqrt(325) - -6*-2*sqrt(325))**2)).
161207
Simplify 6*(0 + ((-4 + (sqrt(128)*1*3 + sqrt(128) + (sqrt(128) - sqrt(128)*-2) + -1)*5 + 0)*2)**2).
-120960*sqrt(2) + 3765144
Simplify (sqrt(1152) + 2*sqrt(1152))/(sqrt(99)/sqrt(176) + sqrt(9)) - (((sqrt(18) + -5)**2 - (-2*sqrt(16))/sqrt(8)) + -4).
-39 + 236*sqrt(2)/5
Simplify (((-5 + (sqrt(117) - (sqrt(117) + -2)))*-1)**2 + (5 + sqrt(117) + 0)**2 + -3 + 1*sqrt(117))*-3.
-444 - 99*sqrt(13)
Simplify ((sqrt(75)*1 + sqrt(75) + -1)*5 + 2 + (sqrt(75) - (2 + sqrt(75) + -2)) + -1)**2.
-400*sqrt(3) + 7516
Simplify (3 + -5 + ((sqrt(180) + 1)**2 + -5)*-1*-2 + 4)*-4.
-1416 - 96*sqrt(5)
Simplify 4*(2 + (3*(sqrt(88) - sqrt(88)*-2) + (sqrt(88) - (-4*-2*sqrt(88) + sqrt(88) + sqrt(88))))/(sqrt(128)*3*-4)).
8
Simplify (1*(sqrt(2057) + -4*sqrt(2057)) + -4 + (sqrt(85) + (sqrt(85) - sqrt(85)*-2)*4)/(sqrt(5)*-2*-4))**2.
251*sqrt(17) + 1072041/64
Simplify ((-3 + (sqrt(700) - -2*sqrt(700)*2 - sqrt(700)) + sqrt(700))*-6)**2 + (sqrt(700)*-2*-5 - (sqrt(700)*1 + -3))*-3.
-11070*sqrt(7) + 630315
Simplify (-4*(sqrt(300) + 4*1*sqrt(300) + 5 + 5 + 0 + sqrt(300) + 0))**2 + 3.
19200*sqrt(3) + 174403
Simplify (((sqrt(119) - (sqrt(119) - sqrt(119)*2)*6) + (sqrt(119)*-5*-1 - sqrt(119)) + sqrt(119))/(sqrt(7)*3*4 - -1*sqrt(448)))**2.
153/25
Simplify (sqrt(468)/(sqrt(18)/sqrt(32)))**2 + (1*sqrt(52) + 3 - (1 + sqrt(1300))).
-8*sqrt(13) + 834
Simplify (sqrt(108) + (0 + sqrt(108) + -5)**2 + -1 - 2*(3 + -2*sqrt(108))) + 5.
-30*sqrt(3) + 131
Simplify 0 + ((sqrt(275) - (sqrt(275) + (sqrt(275)*4 - sqrt(275)) + sqrt(275) + sqrt(275))*2)/sqrt(5))/(sqrt(55)/(sqrt(55)/sqrt(5)*-5)).
55*sqrt(11)
Simplify ((sqrt(1782) - sqrt(1782)*-2)/((sqrt(12)*-1)/sqrt(6)) - 3*(((2*sqrt(132) - sqrt(132))*-3)/sqrt(12))**2)*-6.
162*sqrt(11) + 1782
Simplify sqrt(171)*-2*4*6*1 + (-3*(-4 + (sqrt(171) - (sqrt(171) + 1)) + sqrt(171) - ((-2*sqrt(171) + 0 - sqrt(171)) + sqrt(171))))**2.
-954*sqrt(19) + 14076
Simplify ((-1*2*sqrt(117) - -4*(sqrt(117) + sqrt(117)*-1))*4)/((2*sqrt(36)/sqrt(2))/(sqrt(22)/(sqrt(11) - sqrt(176)))).
4*sqrt(13)/3
Simplify (6*(sqrt(85) - -5*sqrt(85)*-2 - (sqrt(85) + (1*sqrt(85) - sqrt(85))*-1)))/(5*(sqrt(50) - (sqrt(450) + sqrt(450)*4))/sqrt(10)).
6*sqrt(17)/7
Simplify -6*((-2 + sqrt(75) + 0)**2 - (sqrt(75) - 5*sqrt(75)*1) - (-4 + (sqrt(189)/sqrt(7) - (sqrt(6)/sqrt(2) + 2)))).
-510 + 12*sqrt(3)
Simplify (-2*(sqrt(3840) + (5*(1*sqrt(3840) + sqrt(3840)) - sqrt(3840))))/((((sqrt(108)*1 - sqrt(108) - sqrt(108)) + sqrt(108) + sqrt(108))*-5)/(-5*sqrt(9)*2)).
-320*sqrt(5)
Simplify (1*sqrt(200)*-1 + -4 - (sqrt(200)*2 + 0 + sqrt(200) - (3 + -1 + sqrt(200) + sqrt(200) + sqrt(200))))**2 + 3.
40*sqrt(2) + 207
Simplify ((-2*sqrt(784)*-2*-2)/(-3*sqrt(28) - -4*(sqrt(7) + sqrt(35)/sqrt(5))))**2.
1792
Simplify 2*6*3*(4 + (2*sqrt(143)*3 + sqrt(143))/(-3*sqrt(11)*-1))**2.
672*sqrt(13) + 3124
Simplify (-1*sqrt(2058) - sqrt(42))/(sqrt(36)/sqrt(96)) - ((sqrt(7)*-2*-3)**2 - -6*(0 + sqrt(7))**2).
-294 - 32*sqrt(7)
Simplify 5 + (((sqrt(800) + 1*sqrt(800) + sqrt(800))*3)/((4*sqrt(500))/sqrt(5)))**2 + 1.
93/2
Simplify (sqrt(77) + sqrt(77)*-1*4 + -1*(sqrt(77) - (sqrt(77) - -2*sqrt(77))) + sqrt(77))/((2*sqrt(77)*1)/(sqrt(11) + sqrt(396)/sqrt(4))).
0
Simplify (3 + (3*(sqrt(1053) - (2*sqrt(1053) + -2)) - 4*(sqrt(1053)*-1*-6 - sqrt(1053))) + -1)**2.
-3312*sqrt(13) + 557101
Simplify ((-3*(sqrt(720) + 1) + 5 + 1*sqrt(720))*-4 - -3*(-4 + -1 + sqrt(720) + 5))**2 + 1.
-2112*sqrt(5) + 87185
Simplify (-3 + -1 + -3 + 2 + -3 + sqrt(80)*-2 + 1 + sqrt(80) + 1)**2.
48*sqrt(5) + 116
Simplify 0 + 3 + (sqrt(931) - (5 + sqrt(931)*-1)) + -3 + (sqrt(1216) + -1 + sqrt(1216))**2 + sqrt(209)/sqrt(176) + 3.
-71*sqrt(19)/4 + 4863
Simplify (sqrt(1260) + 2*sqrt(1260) + sqrt(35) + sqrt(35) - sqrt(315)*-2)/((sqrt(180)/(sqrt(12)*5 + sqrt(12)))/sqrt(3)).
156*sqrt(7)
Simplify ((-2 + (3*sqrt(12))/sqrt(6))*1 + (sqrt(162)*-3 + -4 + 3)**2)*-1.
-1457 - 57*sqrt(2)
Simplify -5*(-6*((-1*sqrt(432) - sqrt(432) - sqrt(432) - sqrt(432)) + sqrt(432)))/(sqrt(486)/sqrt(9) - sqrt(54)/(sqrt(9) + sqrt(81))).
-2160*sqrt(2)/11
Simplify 4 + (((sqrt(33) + -3*sqrt(33)*-3)*-4)/(2*-3*sqrt(18)/sqrt(6)))**2.
4436/9
Simplify 0 + 1*((-4 + sqrt(1539) + -2)**2 - (-3*(sqrt(228) - -2*sqrt(228)))/sqrt(12)) + 5.
-99*sqrt(19) + 1580
Simplify -1 + -2 + (2*sqrt(2299)*-6 + (sqrt(2299) - (-3*(sqrt(2299) - (sqrt(2299) + 0 + sqrt(2299))))**2) + 2)*5*-2 + -5.
1210*sqrt(19) + 206882
Simplify 3 + (-1 + 6*(0 + (sqrt(245) - (sqrt(245) - (sqrt(245)*5 + sqrt(245)))) + ((-3 + sqrt(245) - sqrt(245) - sqrt(245)) + sqrt(245) + 4 - sqrt(245))))**2.
2100*sqrt(5) + 220528
Simplify -5 + (sqrt(153) + 4*sqrt(153))/sqrt(9)*-6 + sqrt(51)/(3*sqrt(3)*2).
-179*sqrt(17)/6 - 5
Simplify ((4*(sqrt(84) + (sqrt(84) - -2*sqrt(84) - sqrt(84))) - ((sqrt(84) - (-1*sqrt(84)*5 - sqrt(84))) + sqrt(84)))*1)/(4*sqrt(108)*4*3).
sqrt(7)/36
Simplify (3*(sqrt(114) + (sqrt(114) - -5*(-1*sqrt(114) - sqrt(114))) + sqrt(114))*2)/(sqrt(294)*1*3 - (sqrt(294) + 2*sqrt(294)*4)) + 4.
4 + sqrt(19)
Simplify ((sqrt(119) - sqrt(119)*-2 - sqrt(119))*-3 + sqrt(119))/sqrt(7)*-3*2 + -2*((sqrt(1088) + 2*sqrt(1088))**2 + 3) + 5.
-19585 + 30*sqrt(17)
Simplify ((1 + -1*(sqrt(1300) - sqrt(1300)*1))*5 - (3 + (sqrt(468) + (sqrt(468) + 0)*1 - (-1 + sqrt(468) + -3 + sqrt(468)))))**2.
4
Simplify -4 + 1*(sqrt(704) + -1)**2*-2 + (-2 + (sqrt(1100) - 3*sqrt(1100) - sqrt(1100)))**2 + (0 + sqrt(1100))*4.
192*sqrt(11) + 8490
Simplify (sqrt(99)*-2 - (sqrt(22)/sqrt(2)*-6 - sqrt(11))) + -2*(sqrt(11) + 2 + sqrt(44)/sqrt(4))*2.
-7*sqrt(11) - 8
Simplify 1*((4 + sqrt(325) + -1)**2 + (-1 + sqrt(325) - sqrt(325))**2*2)*-3*3*5*-6 + -5.
8100*sqrt(13) + 90715
Simplify (1*(sqrt(5) + -1) - (1*sqrt(720))**2) + sqrt(15)/sqrt(3)*6 + ((sqrt(35)*2)/sqrt(7))**2.
-701 + 7*sqrt(5)
Simplify (-2 + (sqrt(1216) - sqrt(1216)*-2) + -4 + 0 + -1*sqrt(304) + 3)**2*-1.
-7609 + 120*sqrt(19)
Simplify -3*(0 + 0 + (sqrt(3) + 3 - sqrt(3))*6 - ((0 + sqrt(108))*6 - (sqrt(108) - (sqrt(108)*2 + 2))**2)).
-390 + 36*sqrt(3)
Simplify 2 + ((-4*sqrt(17)*-3)**2 + -3 + sqrt(2448) - (5*(sqrt(68)*-2 - sqrt(68)))/(-2*sqrt(16))).
33*sqrt(17)/4 + 2447
Simplify (-1 + sqrt(432) + -4 + sqrt(432) + 4 + -2 + sqrt(432))**2 - (-3*(sqrt(432) - ((-1*sqrt(432) - sqrt(432)) + 2)))**2*1.
-31131 + 1080*sqrt(3)
Simplify (-3*(sqrt(108))**2 - (sqrt(12) + -3 - sqrt(3)) - ((-2 + sqrt(432))*4 + -2)) + -3.
-314 - 49*sqrt(3)
Simplify (sqrt(384) + -5*-2*sqrt(384) - (sqrt(384) + 2*sqrt(384) + sqrt(384))*-3)/(sqrt(24)/sqrt(18) + -2*sqrt(12)*1) + -5.
-276*sqrt(2)/5 - 5
Simplify (1 + 2*sqrt(1377))**2 - (sqrt(1088) - (sqrt(1088) - (1 + -2*sqrt(1088))**2)) - (sqrt(204)/sqrt(144))/(sqrt(3) - sqrt(6)/sqrt(72)).
339*sqrt(17)/5 + 1156
Simplify ((sqrt(130)/(sqrt(10) - (sqrt(10) + sqrt(80)/sqrt(2) - sqrt(10))) + -5*-2*sqrt(13) + sqrt(91)/sqrt(28))*5)**2 + -4.
117309/4
Simplify 2 + (-2 + sqrt(243))*-5 - (6*(sqrt(192) + 1) + 0)**2.
-6936 - 621*sqrt(3)
Simplify (3*(sqrt(1408) + ((-2*sqrt(1408) - sqrt(1408)) + sqrt(1408))*-6))/((-2*sqrt(512))/(sqrt(48)/sqrt(3))) + -1.
-39*sqrt(11) - 1
Simplify (sqrt(252)/(sqrt(192)*1)*4)/(sqrt(288)/sqrt(6) + sqrt(108)/sqrt(9)).
sqrt(7)/6
Simplify ((6*(1 + sqrt(272) + 0) + sqrt(272) + 1*sqrt(272)*-1 + 1 + 3)*-1)**2 + 3.
480*sqrt(17) + 9895
Simplify (1 + (-5 + sqrt(147) + (sqrt(147) + -4)**2 + -4 + (-1 + sqrt(147))*1)*-6)*6.
-5502 + 1512*sqrt(3)
Simplify (((sqrt(95) - 4*(sqrt(95)*3 + sqrt(95))) + sqrt(95)*2*1)/(sqrt | {
"pile_set_name": "DM Mathematics"
} |
z is divided by 8.
6
What is the remainder when 97/(-1)*(3 + -4) is divided by 25?
22
Let b(y) = 13*y - 4. Suppose -8 = -4*f, -2*f = -2*x - f - 2. Suppose -r + 18 = -x. What is the remainder when b(3) is divided by r?
17
Suppose 11 = 3*x - 2*g - 0, x = 2*g + 1. Let p = x - -6. Let i(l) = -32*l**3 - l**2 - l - 1. What is the remainder when i(-1) is divided by p?
9
Let i(y) = y**3 + 3*y - 3. Calculate the remainder when -42*(-2)/(-9 + -1)*-5 is divided by i(2).
9
Let p = -64 - -41. Let g = 6 - p. Calculate the remainder when g is divided by 8.
5
Let l = -20 - -33. Let w = 202 + -133. Let o = w - 31. What is the remainder when o is divided by l?
12
Let k = -40 + 61. Let w = -10 - -21. Calculate the remainder when k is divided by w.
10
Let z = -28 - -47. Calculate the remainder when z is divided by 7.
5
Suppose 0 = -5*a + 6*a - 5. What is the remainder when 13 is divided by 2/a - (-66)/10?
6
Let o = -51 - -112. Calculate the remainder when o is divided by (3 - (-15)/(-10))*14.
19
Calculate the remainder when 47 is divided by (2/(-1 - 0))/(-2) + 15.
15
Suppose -3*p + 125 = -223. What is the remainder when p is divided by 40?
36
Suppose 3*x + 97 + 69 = 5*y, 0 = -3*y + 4*x + 93. What is the remainder when y is divided by 13?
9
Let s(g) = -g**3 - 8*g**2 - 8*g + 1. Let o be s(-7). Calculate the remainder when (-12)/(-9)*348/o is divided by 15.
13
Suppose 3*c + 1 + 6 = 2*s, 3*c - 1 = s. Let r = s + -2. Calculate the remainder when (-57)/(-5) - (-2)/(-5) is divided by r.
5
Suppose 29 = -3*i + 4*i - 4*x, 5*x + 25 = 0. Calculate the remainder when 3/(1/(2 + i)) is divided by 9.
6
Let l = 74 + -29. Suppose 3*n + t = -2*t - l, 99 = -5*n + 3*t. Let r = 11 - n. What is the remainder when r is divided by 10?
9
Let v be (-3)/(2/(8/(-6))). Calculate the remainder when 29 is divided by -4 - (4*-4 + v).
9
What is the remainder when 19 is divided by 203/21 - 2/(-6)?
9
Suppose 4*y - 65 - 87 = 0. Suppose -5*b + 55 = -5*o, -2*b + o + y = 2*b. Let l(q) = -q**3 + 6*q**2 - 1. What is the remainder when l(5) is divided by b?
6
Let x = 52 + -1. What is the remainder when x is divided by 13?
12
Let k = -10 + 18. Suppose 4*g + 5*v = v - 4, -5*v = -4*g + 32. Suppose -3*u = -5*d + 3*d + 1, -4*d = -g*u - 11. Calculate the remainder when k is divided by d.
3
Let b be (-2 - -2*1) + 4. Let v = -3 + b. What is the remainder when 15 is divided by 12/((-3)/v)*-2?
7
Let b be (-156)/(-5) + (-6)/30. Let l = -15 + b. Calculate the remainder when 62 is divided by l.
14
What is the remainder when 18/8*(-336)/(-18) is divided by 11?
9
Let a(g) be the first derivative of -g**2/2 + 3*g + 3. Let j be a(-4). Suppose j*t - 2*t = 45. What is the remainder when 16 is divided by t?
7
Suppose -3*f = -4*z - 6*f + 25, -2*f = 2. What is the remainder when z is divided by 5?
2
Let g(f) = -f**2 + 13*f - 2. Calculate the remainder when 133 is divided by g(4).
31
Suppose 2*j + 3*t = 6*t + 28, -4*j + 4*t + 60 = 0. Suppose -32 = -f - 5*u + 25, 0 = f + 2*u - 42. What is the remainder when f is divided by j?
15
Calculate the remainder when (2 - 5)/((-3)/22) is divided by 1 - 1*(0 - 4).
2
Let n(u) = u**2 + 6*u + 7. Let h = -10 - -5. Calculate the remainder when 5 is divided by n(h).
1
Suppose 2*s + 34 - 102 = 0. What is the remainder when s is divided by 12?
10
Let z(a) = 6*a**2 - 9*a + 14. What is the remainder when z(3) is divided by 9?
5
Let s = 18 - 12. What is the remainder when 7 is divided by s?
1
Let d(n) = -4*n**2 - 2*n - n**3 + 0*n - 10 - 8*n**2 + n. Let u be d(-12). Suppose m = u + 28. What is the remainder when m is divided by 8?
6
Let a(j) = -2*j - 7. Let k be a(-6). Let m(u) = 9*u + 1. Calculate the remainder when m(k) is divided by 12.
10
Let b(v) = -v**3 - 9*v**2 - 18*v - 14. What is the remainder when b(-7) is divided by 6?
2
Let h = 6 + 3. Suppose 0 = h*o - 5*o - 84. What is the remainder when o is divided by 11?
10
Suppose -5*a = 4*x - 6*x, 5*x - 62 = -3*a. What is the remainder when 38 is divided by x?
8
Let w(d) = -2*d + 58. Calculate the remainder when 174 is divided by w(7).
42
Let c be (8/5)/((-6)/(-15)). Suppose -2*g - 3*m = -35, -g - c*m - 6 = -31. Calculate the remainder when g is divided by 4.
1
Let s = 107 - 94. What is the remainder when 35 - 0/(0 + 2) is divided by s?
9
Let p(c) = -c - 1. What is the remainder when 64/(-24)*33/(-4) is divided by p(-7)?
4
Let q = -17 + 30. What is the remainder when 50 is divided by q?
11
Let z be (2 - 4)*(-50)/4. Suppose -4*l + 100 = 2*g, 0*g = -l - g + z. What is the remainder when l is divided by 14?
11
Suppose 0*d + 2*d + 4 = -3*q, 0 = 4*d - 3*q + 26. Let v = 6 + d. What is the remainder when v is divided by 1?
0
Suppose -3 = -o + 33. Let k(x) = 2*x - 2. Let u be k(3). Suppose -4*i - u = -o. Calculate the remainder when 22 is divided by i.
6
Let h = -214 - -318. Calculate the remainder when h/6 - 6/(-9) is divided by 10.
8
Suppose -2*k = -6*k + 24. Calculate the remainder when 10 is divided by k.
4
Suppose -10 = 5*a, -4*a - 41 = -s - 0*a. Calculate the remainder when s is divided by 7.
5
Suppose h = -g + 17, -g + 42 = g + 4*h. What is the remainder when 40 + (4/8)/((-1)/8) is divided by g?
10
Suppose a - 1 = 1. Let h = 4 - a. Let x = 6 + -4. What is the remainder when x is divided by h?
0
Let t(c) = -4*c**2 + 2*c - 3. Let g(w) = -13*w**2 + 5*w - 10. Let b(y) = 2*g(y) - 7*t(y). Calculate the remainder when b(3) is divided by (-65)/(-15) - 1/3.
3
Calculate the remainder when 43 is divided by (4/(-6))/(-2)*27.
7
Suppose -5*j = 2*n + 7 + 4, 0 = 2*j + 10. What is the remainder when 3 - n*(2 - 3) is divided by 4?
2
Let s = -3 - -23. Calculate the remainder when s is divided by 6.
2
Let o(v) = v**3 + 4*v**2 - 4*v + 7. Let w be o(-5). Suppose w*z - 12 = -3*l, 0*z + 3*z + 2*l = 18. Calculate the remainder when 17 is divided by z.
5
Let u = 6 + -11. Let x(p) = p + 7. Let d(a) = a**3 - a**2 - a - 1. Calculate the remainder when x(u) is divided by d(2).
0
What is the remainder when (-12)/48 + (-473)/(-4) is divided by 20?
18
What is the remainder when 98 is divided by (0 + (-5)/2)*-10?
23
Let m(x) = 10*x - 1. What is the remainder when m(3) is divided by 11?
7
Suppose 5*j + 0*n = -2*n - 2, 4*n = -2*j + 12. Suppose -r + 5 = 3*g - 3, g = -3*r + 24. Calculate the remainder when r is divided by 9 + -2 + j + 0.
3
Suppose 5 - 10 = l. Let p = l + 52. Calculate the remainder when p is divided by 12.
11
Let q(t) = 6 + 3*t - 3 - 1. Let b = -40 - -44. What is the remainder when q(4) is divided by b?
2
Let y = 7 + 5. Calculate the remainder when 23 is divided by y.
11
Suppose o = 5*o - 20. Suppose 2*u - 48 = k, u - o*k = -4 + 37. What is the remainder when u is divided by 13?
10
Suppose 376 = 3*x - 2*v + 132, 4*x - 2*v - 326 = 0. Suppose -x + 10 = -4*r. Calculate the remainder when 52 is divided by r.
16
Suppose -2*f + 78 = 24. Suppose -2*s = 2*w - 220, -2*w = -6*w - 3*s + 437. Calculate the remainder when w is divided by f.
26
Suppose 44 = 4*r - 4*q, -2*r - r + 36 = -2*q. What is the remainder when ((-123)/2)/3*-2 is divided by r?
13
Let r(t) = -2*t**2 + 5*t**2 - 2*t**2 + 8*t + 3. Let c be r(-8). Suppose -g = -5*u - 31 + c, 5*g = -3*u + 56. What is the remainder when g is divided by 5?
3
Suppose -19 = -4*n + 9. Let b be 167/5 + (-2)/5. Suppose 4*o - b - 19 = 0. Calculate the remainder when o is divided by n.
6
Suppose 5*x - 6 = 2*x. What is the remainder when ((-36)/(-14))/(-3)*-7 is divided by x?
0
Let z(y) = -4*y - 5. What is the remainder when 29 is divided by z(-5)?
14
Let l = 45 + -14. Let r = l + 16. Suppose -3*n - 19 = -67. Calculate the remainder when r is divided by n.
15
Let y(b) = -b**3 - 11*b**2 - 24*b + 4. What is the remainder when 26 is divided by y(-8)?
2
What is the remainder when 53 is divided by (-3 - (-2 + -1)) + 14?
11
Let t be (-2)/9 + (-330)/(-27). Suppose -15 = -4*z + 41. Calculate the remainder when z is divided by 62/8 + 3/t.
6
Let k(z) = -z**3 - 2*z**2 + 2*z. Let i(f) = 4*f**3 + 6*f**2 - 6*f. Let v(b) = 2*i(b) + 7*k(b). What is the remainder when v(3) is divided by 6?
3
Suppose -4*l = 12, -2*u - 8 = -l + 3*l. Calculate the remainder when (7/(-2) - 0)*-4 is divided by 1 - u - -1*6.
6
Let n(c) = -9*c**3 + 2*c**2 - 4*c + 2. Let w be n(2). Let a = w + 121. Let p = 23 - 10. Calculate the remainder when a is divided by p.
12
Let h(r) = -6*r | {
"pile_set_name": "DM Mathematics"
} |
ssuming u is positive.
u**(-1218)
Simplify (y/(y*y**(-3/38)*y))**(-2/195) assuming y is positive.
y**(7/741)
Simplify (((p/p**(-3/4))/p)/p)/(p/(p**(-4)/p))*p/(p*p/(p*p**0))*p**6/p assuming p is positive.
p**(-5/4)
Simplify ((j*j*j**(2/5))/j*(j*j**(2/9))/j)/(j**(-1/3))**48 assuming j is positive.
j**(793/45)
Simplify (f*f**(-3))**(-1/21) assuming f is positive.
f**(2/21)
Simplify o**(-17)*o**6/o*o assuming o is positive.
o**(-11)
Simplify (y**(3/2)*y*y)/(y*y**(2/17)*y*y*y) assuming y is positive.
y**(-21/34)
Simplify (((m**(-1/41)/m)/m*m)/m)/(m**(-1/5)/m) assuming m is positive.
m**(-169/205)
Simplify ((b*b**(-2/3))/(b*b**6))/(b**(-3)*b*b*b**(2/13)*b) assuming b is positive.
b**(-266/39)
Simplify j**(-16/5)*j**(-2/15) assuming j is positive.
j**(-10/3)
Simplify ((t**(-4/7)/t)/(t/t**(-2/15)))**41 assuming t is positive.
t**(-11644/105)
Simplify (((h**2/h)/h)/h)**19*h**(3/4)/(h*h**(-3)) assuming h is positive.
h**(-65/4)
Simplify (j/(j**(2/17)/j*j)*j*j*j/((j*j*(j/(j*j*j**(-2/7)*j*j)*j)/j*j)/j))**(15/4) assuming j is positive.
j**(8205/476)
Simplify x**6/x**19 assuming x is positive.
x**(-13)
Simplify (o*o/o**(1/12))/(((o**(-8/9)/o)/o)/o*o) assuming o is positive.
o**(173/36)
Simplify ((j*(j*j*j*(j/j**(-3/7))/j)/j*j)/(j/j**9*j))**(2/13) assuming j is positive.
j**(160/91)
Simplify (d**(-2/5))**(-41)*d**(2/3)/d*d**5 assuming d is positive.
d**(316/15)
Simplify (u**(-2))**(1/30)*u**8*u**(1/2)*u*u assuming u is positive.
u**(313/30)
Simplify (l**(-9/5))**(-32/5) assuming l is positive.
l**(288/25)
Simplify (t/(t/(t/t**33)))/(t/t**26) assuming t is positive.
t**(-7)
Simplify (f*f/((f**(-1)*f)/f)*f)/f**(-2/11)*(f/(f*(f*f**(-1))/f*f))**(-2/105) assuming f is positive.
f**(46/11)
Simplify s**(-2/17)*(s*s**(2/15))/s*s**(-6)*(s/(s**(4/3)*s))/s assuming s is positive.
s**(-707/85)
Simplify (g*g**5/g)**(-47) assuming g is positive.
g**(-235)
Simplify v*v*v*v/(v**(-1/3)*v)*v*v*v**(5/7) assuming v is positive.
v**(127/21)
Simplify ((q**(-3/2)*q)**46)**2 assuming q is positive.
q**(-46)
Simplify ((k/k**(-29))/k)**(-9/2) assuming k is positive.
k**(-261/2)
Simplify (y**(1/4)/(y*y**(2/9)/y))**(1/2) assuming y is positive.
y**(1/72)
Simplify (t/((t**9/t)/t)*(t/(t*(t/(t/(t/(t**5*t)*t))*t*t*t)/t))/t)/(t**(1/6))**(-17) assuming t is positive.
t**(-13/6)
Simplify ((p**(-1/13)*p)/p)/p*p**0*(p*p*p/p**(-1/2))**(7/8) assuming p is positive.
p**(413/208)
Simplify (p/(p*p**4))**(4/29) assuming p is positive.
p**(-16/29)
Simplify v*v**12/v*v**(-2) assuming v is positive.
v**10
Simplify (r**(2/15)/r**(-6/7))/(r**(1/2))**28 assuming r is positive.
r**(-1366/105)
Simplify (a*a**25)/(a**(-2/11)*a) assuming a is positive.
a**(277/11)
Simplify (y*y/(y*y/y**5)*y)/y**(-10) assuming y is positive.
y**16
Simplify (l**(-5)/l**(4/3))**(2/27) assuming l is positive.
l**(-38/81)
Simplify (t/(t/t**(-1))*t/t**5)/(t**(-6)/(t/(((t*t**0)/t)/t)*t)) assuming t is positive.
t**4
Simplify (p*(p/(p*p**(-16)*p))/p*p)**(-14/13) assuming p is positive.
p**(-224/13)
Simplify (r/(r*r**(-1)))/r*r*r/(r*r*r**(4/3))*r/(r**(-2/5)/r)*r**(2/11) assuming r is positive.
r**(206/165)
Simplify ((s*s/s**(-4/5))/(s**(1/3)/s*s))/(s*s**(1/3)*s*s*s)**(-4/11) assuming s is positive.
s**(667/165)
Simplify x**3*x/x**6*(x/(x*x/(x/x**(-1)*x))*x)/(x/(x*x**6)) assuming x is positive.
x**7
Simplify h/(h**20*h)*((h*(h**(-3/11)*h*h)/h*h)/h)/h assuming h is positive.
h**(-212/11)
Simplify (a*a/(a**2*a))/(a/a**(2/21))*(a**1)**1 assuming a is positive.
a**(-19/21)
Simplify (d/d**(2/43))/(d*d*d*d**(-1/2)) assuming d is positive.
d**(-133/86)
Simplify b**(2/9)/b*b/(b/b**(-2)*b)*(b**(2/7)/b)**21 assuming b is positive.
b**(-169/9)
Simplify m**(1/9)/(m*m**(1/51)/m) assuming m is positive.
m**(14/153)
Simplify ((h*h/h**(-3))/h)/h**(10/7) assuming h is positive.
h**(18/7)
Simplify (c**11/c)/c*c*c**(-38)*c assuming c is positive.
c**(-27)
Simplify (f*f**(-2)*f)**31*f/((f/((f/f**9)/f)*f)/f)*f/f**9 assuming f is positive.
f**(-17)
Simplify r**(-3)*r*r*r/(r/r**(-3))*r**(-7)/r**9 assuming r is positive.
r**(-20)
Simplify ((g/g**(1/11))/g)**(-20) assuming g is positive.
g**(20/11)
Simplify (q*q**(3/7))**(-31/5) assuming q is positive.
q**(-62/7)
Simplify v/(v**(2/3)/v*v)*v**(1/8)*(v**0)**(-30) assuming v is positive.
v**(11/24)
Simplify (z/z**(-1))**(2/9)*z**(-3)/z**(-3) assuming z is positive.
z**(4/9)
Simplify (r*r**(-4)/r*r**(-1)*r)**(-22) assuming r is positive.
r**88
Simplify (f**(-2/5)/f*f)**23*((f*f**0)/f*f)**(-12/11) assuming f is positive.
f**(-566/55)
Simplify (u/(u*u**(-3/4)))/u**(-9) assuming u is positive.
u**(39/4)
Simplify v**(7/6)/(v/(v/((v*v*v**9)/v))) assuming v is positive.
v**(-53/6)
Simplify (p*(p*p*p/((p**1/p)/p*p)*p)/p)**(-9/4)*p**(3/5)*p*p/(p**(-1/3)/p*p) assuming p is positive.
p**(-91/15)
Simplify ((d/(d/(((d*d/(d*d*d/d**(-1/2)*d))/d)/d)))**(-2/3))**32 assuming d is positive.
d**96
Simplify (((v**(-2)*v)/v)/(v/(v/(v*v*v*v*v/(v*v**(-2/5)))*v)))/((v/v**(-3/10)*v)/v**(-4/7)) assuming v is positive.
v**(-579/70)
Simplify (r**(-2/5)/((r**(-2/3)/r)/r))/(r*(r*r/(r*r**1*r))/r*r)**34 assuming r is positive.
r**(34/15)
Simplify (o*o**(-14/3))/o*o**(-1/6) assuming o is positive.
o**(-29/6)
Simplify s**(5/4)/s*s*s**21 assuming s is positive.
s**(89/4)
Simplify ((j*((j/(((j**(-1/61)/j)/j)/j))/j)/j*j)/j)/(j**(-1/19)*j) assuming j is positive.
j**(2398/1159)
Simplify ((g*g**8)/g)/((g**8*g)/g)*g**(-4)/g*g**(-2/13) assuming g is positive.
g**(-67/13)
Simplify ((p*p**(-2/3))**23)**(2/29) assuming p is positive.
p**(46/87)
Simplify l**(7/6)/l**(-3/13) assuming l is positive.
l**(109/78)
Simplify p/((p/p**(2/19))/p)*p**(-9) assuming p is positive.
p**(-150/19)
Simplify (d**(-2/23))**(1/43) assuming d is positive.
d**(-2/989)
Simplify (a*a**(3/5)*a*a/(a/(a*a**2)))/(a/(a*a**(1/4)/a)*a**(2/5)) assuming a is positive.
a**(89/20)
Simplify (s*s*s/((s*(s*s/((s*s**(1/4)*s)/s))/s*s*s)/s)*s*s)**22*(s/s**(-1/5))/(s**(-2/13)/s*s) assuming s is positive.
s**(9471/130)
Simplify (y/y**4)**(-14) assuming y is positive.
y**42
Simplify q**(7/3)/q**(-14/9) assuming q is positive.
q**(35/9)
Simplify t**(-1/2)/t*t*t*t*t/t**(-1/9)*t*t assuming t is positive.
t**(83/18)
Simplify (t**(-4)*t*t)**(-10/3) assuming t is positive.
t**(20/3)
Simplify j**(3/10)/j**25 assuming j is positive.
j**(-247/10)
Simplify (w**(-9)/(w/((w*w**4)/w)))/((w**(-2/11)/w)/(w**0*w)) assuming w is positive.
w**(-42/11)
Simplify q*q**6*q*((q*q/(q/(q**4*q)*q))/q*q*q)/q*q**(-5)*q*q**(5/3) assuming q is positive.
q**(32/3)
Simplify (c*c*c*c**(1/2)*c*c*c)/((c/(c/((c/(c*c**12/c*c)*c)/c)*c*c))/c) assuming c is positive.
c**(43/2)
Simplify (p**(-1/5)/p)/p**(-1/4)*(p**(2/3))**36 assuming p is positive.
p**(461/20)
Simplify (p*p*p*p**(-13))/(p**(-13)/p*p) assuming p is positive.
p**3
Simplify (n**10*n*n**8)/(n**(-10)*n*(n*((n**2/n)/n)/n)/n) assuming n is positive.
n**29
Simplify g/((g/(((g/(g/g**26))/g*g)/g)*g*g)/g)*g**13 assuming g is positive.
g**37
Simplify g**(-2/11)*g*g**(-3/5) assuming g is positive.
g**(12/55)
Simplify a**(10/3)*a/(a/a**(-2/7)) assuming a is positive.
a**(64/21)
Simplify (q*q*q/(q/((q/(q*q*q**8/q*q))/q)*q)*q*q/(q/(q**(-1)/q*q)))**(-31) assuming q is positive.
q**279
Simplify (((o*o**5)/o*o)**47)**(14/3) assuming o is positive.
o**1316
Simplify ((l**(-7)*l)/l)/(l*(l**4*l)/l)*l**(1/5)/l**(-1/6) assuming l is positive.
l**(-349/30)
Simplify (x*x**39)/(x/(x**(-1)/x)*x) assuming x is positive.
x**36
Simplify (g*g**(-5)*g*g**(-3/7))**(-4/5) assuming g is positive.
g**(96/35)
Simplify ((y**(1/3)*y*y)/y**(-3))**(-1) assuming y is positive.
y**(-16/3)
Simplify ((j**(-1/4)*j)**(3/2))**(2/5) assuming j is positive.
j**(9/20)
Simplify i*i**(-33)*i/i**(-16) assuming i is positive.
i**(-15)
Simplify (d**(18/13))**25 assuming d is positive.
d**(450/13)
Simplify (g**(-1/2)/g**(-7))**(15/7) assuming g is positive.
g**(195/14)
Simplify p**(-4/5)*p*p**(2/25) assuming p is positive.
p**(7/25)
Simplify (h*h/h**14)**(-12) assuming h is positive.
h**144
Simplify (v**(-1/12)*v*v**0)/(v**(1/2)/v**(-1/2)) assuming v is positive.
v**(-1/12)
Simplify (d**(-1))**(2/47)*(d**(1/3)*d)**(-39) assuming d is positive.
d**(-2446/47)
Simplify ((k*k*k**0)**(-18/13))**(-2/35) assuming k is positive.
k**(72/455)
Simplify (m**(-6/7)/m)**(3/34) assuming m is positive.
m**(-39/238)
Simplify r**(-13)*r**5 assumi | {
"pile_set_name": "DM Mathematics"
} |
-2*f = -3*l - 6, d*f - l - l = 26. Solve -f*c = -c for c.
0
Suppose 4013 = 92*b + 1989. Solve -b = s - 20 for s.
-2
Suppose 2*l - 502 = 4*j, 0 = 2*l - 3*j - 307 - 192. Let i = l + -240. Solve i*r = -4 - 6 for r.
-2
Let w(q) = -3*q + 3. Let x be w(0). Suppose -4*c + 24 = 7*k - 9*k, -4*c + 32 = 2*k. Solve x*u = c*u for u.
0
Let f be (4/5)/((-2)/(-15)). Suppose 472369*c = 472391*c. Solve c = -h + f*h for h.
0
Let t be 17 - (-1305)/(-75) - 4/(-10). Solve 51*m - 48*m = t for m.
0
Suppose -g - 87 = 8*a - 13*a, -g = 2. Suppose 3*h = -9, -x = -3*x + 5*h + a. Solve 7*w - 6*w = x for w.
1
Let h be (-1071)/102*(1 + 0 - (-3)/(-1)). Solve 45 - h = 4*y for y.
6
Let c(k) = 21*k**2 + 12*k + 10. Let u be c(-1). Suppose 30*j = u*j. Solve j = 4*a - 4 for a.
1
Suppose -4*m = 15*m - 1330. Suppose 3*t - m = -37. Solve 20 = -6*y + t*y for y.
4
Suppose -4*j = 3*n - 60, n - 7 + 101 = 5*j. Let v = j + -15. Suppose -2*f = v*b - 12, 0 = 5*b + 6*f - 4*f - 20. Solve -3*g - b = -g for g.
-2
Let z = -3121 + 3215. Solve z*d = 86*d - 56 for d.
-7
Let z(h) = -71*h**3 + 3*h**2 - h - 3. Let r be z(-1). Let l be (-6 - -2)*(-54)/r. Let f be 4/(-16) + 37/4. Solve 0 = -l*y + 12 - f for y.
1
Suppose 3*v - 2 = t, 3 = 4*t - t. Suppose v = p - 2*y - 1, -3*y = -4*p + 13. Suppose 0 = p*m - 2*m - 24. Solve -4 = 2*c - m for c.
4
Suppose -2*s - s - 8 = -5*f, 0 = -4*s + 16. Let o be (-1)/10 - (-505)/50. Suppose -5*d + 5*p = -o*d + 10, 0 = -d + 2*p - 4. Solve 0*l + 2*l + f = d for l.
-2
Let n = -78 + 74. Let m be (4/5)/n - (-360)/50. Suppose 3*p - 8 = m. Solve 5*y + 0 - p = 0 for y.
1
Let c be 9*(6/2)/9. Let t be (2/(1 + 0))/((-4)/110). Let h = 56 + t. Solve h - 7 = c*l for l.
-2
Let u be (-672)/192*20/(-7). Solve u*v = 9*v + 7 for v.
7
Let l(q) = 1341*q - 5360. Let x be l(4). Solve -2*c - x = -8 for c.
2
Suppose 0 = 3*v - 19*v + 64. Suppose -v*u = -52 + 32. Solve 1 = 4*b + u for b.
-1
Let z = -1 - -1. Let y(f) = -f**2 + 0*f - 15*f - 119 + 74. Let a be y(-10). Solve z = x - a*x for x.
0
Suppose -642*i + 378 = -600*i. Let p = 8 - -35. Solve -16 = i*o - p for o.
3
Let p be (-88)/(-12) - (-1)/(-3). Suppose 5*l - p*l = 28. Let h(b) = b**3 + 14*b**2 + 2*b + 33. Let r be h(l). Solve 0 = r*m - 2 - 8 for m.
2
Let m(s) = 4*s + 53. Let a be 7/(14/6) + (-13 - 2). Let k be m(a). Solve -k*g + 4 = -7*g for g.
-2
Suppose 3*k - 240 = -2*w + 7*k, -5*k = -13*w + 1686. Solve -8*x = 108 - w for x.
3
Let c be (-17)/(-4) + (-11 - 517/(-44)). Let t(u) = u**3 + 10*u**2 - 10*u + 14. Let m be t(-11). Solve c*d = m*d for d.
0
Let g = -8080 - -8093. Solve -2*r = -g*r + 66 for r.
6
Suppose -3*b - 6 = 0, -182*g + 178*g + 2*b + 112 = 0. Solve -11*v - g - 6 = 0 for v.
-3
Let w(g) be the second derivative of -5*g**3/6 - 6*g**2 + 19*g. Let h be w(-5). Suppose -h*r = -11*r - 14. Solve 2*s = 3 - r for s.
-2
Let l(n) = -13*n**3 + n**2. Let w be l(-2). Let t = 112 - w. Solve h + t = 8 for h.
4
Suppose -12*j = -35*j + 115. Let w(k) = -k**3 + 5*k**2 + 3*k - 5. Let r be w(j). Solve 0*i = 2*i + r for i.
-5
Let h = 1015133 - 1015130. Let w be 4/(-6) - (-35)/3. Solve -h*o - w = 4 for o.
-5
Let f = 488 + -461. Let a = f - 10. Solve 13*q = a*q - 12 for q.
3
Let f(g) = g**3 + 16*g**2 - 17*g + 2. Let x = 2 + -19. Let o be f(x). Let b(v) = 3*v**2 - 7*v + 5. Let l be b(o). Solve -l*z = 2*z for z.
0
Suppose -25*n + 6318 = -51*n. Let h = n - -247. Solve g + 3 = h*g for g.
1
Suppose -23 = -4*q + z - 0, -z - 8 = -q. Let n be q/(100/(-15))*(-16)/12. Solve 29 - n = 7*d for d.
4
Suppose 0 = 3*c - 11 + 2. Suppose 1 = -2*o - 5*y - 3, c*o - 8 = -4*y. Let m be (-57)/(-12) - (-5 - 114/(-24)). Solve -m*s + 12 = -o for s.
4
Let r be ((-15)/9)/(105/126). Suppose -d + 10 + 17 = -5*v, -4*d - v = -3. Let c be 10 + (-5 - r) + d. Solve -c - 7 = 4*l for l.
-4
Suppose -f + 3214 = -10*p + 14*p, -3*p - f + 2412 = 0. Solve 17*d = -p + 666 for d.
-8
Suppose -3*n - 3*i + 83 = 38, -15 = 5*i. Solve -o - n = -17 for o.
-1
Let l(b) = 6*b**2 + 16*b - 10. Let q be l(1). Solve -d - q = -18 for d.
6
Let h(d) = -3*d**2 - 10*d + 1. Let u be h(-3). Suppose 0 = -4*s + u*j + 4, 0 = 5*s - 2*j - 10 - 1. Solve s*r = -r + 16 for r.
4
Let j = 13 - 40. Let v be (4/(-10))/(j/(-15) + -2). Solve v*k = 6 - 14 for k.
-4
Let i(n) = -52*n - 1142. Let l be i(-22). Solve -4 - l = -3*k for k.
2
Let j be (4/(-1))/(97/(-194)). Solve j = -5*r - 17 for r.
-5
Let v be 660/(-36)*(-30)/50. Solve 0 = v*q + 8 - 19 for q.
1
Let z = 894 - 837. Solve z = -j + 51 for j.
-6
Let q = -1 - -9. Suppose 4*d - 16 = 0, -3*d + 135 = 5*f - q*d. Let z = f + -27. Solve 7 = i + z for i.
3
Let l be ((-3)/(-2))/(36/264). Let c(a) = -a**2 + 14*a - 22. Let k be c(l). Solve 4*y = k*y for y.
0
Suppose -k = -3*q, q + 10 - 6 = k. Suppose 0 = 38*u - 40*u + k. Solve u*l - 25 = 8*l for l.
-5
Let i = 1 + 1. Let x(a) = a**2 + 7*a + 6. Let j = -215 + 215. Let h be x(j). Solve h = z + i for z.
4
Suppose 0 = 5*s + c - 21, -s - 3*c = -5*s + 32. Solve -s*h + 75 = 10*h for h.
5
Let h = 449 + -299. Let z be h/90 + (-10)/6. Solve z = 4*l - l + 3 for l.
-1
Suppose 146*h + 65 = 151*h. Suppose -u - 36 = -h*u. Solve 0*t = -3*t - u for t.
-1
Suppose 204 = -7*m + 13*m. Let n = -102 - m. Let v = 139 + n. Solve 0 = v*i - 9 - 6 for i.
5
Let x be -2 + -1 + (9 - 2). Let r = 3 - 2. Let d = 269 + -266. Solve d*q = r - x for q.
-1
Suppose 0 = 22*k - 434 - 556. Suppose -5*s + 125 = 5*v, 3*s + v - k = s. Solve s*b = 17*b for b.
0
Let p be (1 + 0 + -2)*-3. Let l be (-1888)/(-20) + (-12)/(-20). Suppose -l = -b - 89. Solve -b = 3*u - p for u.
-1
Let p(r) = 6*r + 1. Let j(g) = -g - 1. Let x(v) = 4*j(v) + p(v). Let o be x(9). Suppose 0 = 5*l - 2*l - o. Solve l*u + 4 = -6 for u.
-2
Let j be (-1581)/(-221) - (-16)/(-104) - (1 - 8). Solve 384*i - 386*i = -j for i.
7
Let x = -7242 + 7266. Solve x*g + 52 = 37*g for g.
4
Suppose -25*t + 1632 = 357. Solve -57 = t*a - 6 for a.
-1
Let y(p) = -p**3 - 35*p**2 - 187*p - 2. Let b be y(-5). Solve 27 = -35*l - b for l.
-6
Let x = -9121 + 9135. Solve -x = -13*r + 64 for r.
6
Let n = 26 + -23. Let u be (n + -3)*(3 + -4). Suppose u = -2*k + 3*y + 1, 4*y = -5*k + 6*y + 8. Solve j + k = -j for j.
-1
Suppose 2*r + 56 = 9*r. Let s = 5094 - 5091. Solve -f = -s*f - r for f.
-4
Let o(z) = z**3 - 6*z**2 + 19*z - 18. Let q be o(3). Solve q*r = -80 + 188 for r.
9
Let o = 31 + -20. Let b(g) = -g**3 - 9*g**2 - 15*g + 1. Let w be b(-3). Let m = w + o. Solve 16 = -h - m*h for h.
-4
Let z be 5/10 + 5341/(-14). Let y = z - -386. Solve -6*l = -7*l - y for l.
-5
Let c(n) be the third derivative of -5/24*n**4 + 21*n**2 - 1/120*n**6 + 2/15*n**5 + 0*n + 0 + 1/3*n**3. Let t be c(7). Solve 3*h - t = -h for h.
4
Let j(v) = -v**2 + 11*v - 5. Let u be j(10). Suppose 100 = -0*k + 4*k + u*a, -3*a = -12. Solve -25*y + k*y - 10 = 0 for y.
-2
Let j be (-154)/165*-5*60/8. Solve 0 = -12*d + 107 - j for d.
6
Let a(s) = -4*s**2 + 9*s + 11. Let k be a(3). Let f be (k/15*-3)/((-5)/50). Solve 0 = f*x + 4 - 16 for x.
3
Let i = 1301 + -808. Let d = -481 + i. Solve 0 = -6*l + d*l + 6 for l.
-1
Let t be 0/2*2/(1 - 5). Let a be (-76)/190 - 12/(-5). Solve t = a*g - 2 + 6 for g.
-2
Suppose 18*l + 31*l = 343. Suppose 2*c = -0*c + 12. Suppose 15 + c = l*d. Solve -d*q - 12 = -6*q for q.
4
Let g(z) = -11*z - 51. Let q(p) = -5*p - 25. Let i(s) = 2*g(s) - 5*q(s). Let w be i(-6). Suppose -10 = w*t + 5*k, 3*t + 3*k = 8*k + 18. Solve 0 = -a + t for a.
1
Let a = -193 + 202. Let k be (6/(-10))/(a/(-90)). Solve k*w - 10 = 2 for w.
2
Let l be (-1)/(-2 - (-164)/80). Let p be (((-36)/30)/(-1))/((-6)/l). Suppose 3*k + 3*b - 1 - 2 = 0, 2*k - p = -b. Solve -k*s = s + 16 for s.
-4
Let h be 80/8 - -1464 - 15. Solve 9 = -h*i + 1456*i for i.
-3
Suppose 11 = 4*p + 3*y, -4*p - p - 3*y + 13 = 0. Let w be (-153)/(-18)*(-84)/(-357). Solve p = w*a + 4 for a.
-1
Let n = 161 + -78. Suppose 5*r = 4*w + 56 + n, r - 29 = 2*w. Solve 0 = 5*f + r - 12 for f.
-3
Suppose -78*f + 1007 - 851 = 0. Solve 24 = f*r + 18 for r.
3
Let h(u) = -31*u**3 - 4*u**2 + 81*u + 81. Let o be h(-1). Solve -o - 30 = 19*q for q.
-3
Let v be 2/(-1) + 9 + -7. Let u = 128 + -98. Suppose v*q + u = 6*q. Solve w = q*w for w.
0
Let h be (418 - -22)/((1/1)/1). Suppose 8*y - 488 = -h. Solve j + 3 - y = 0 for j.
3
Let x be (362/10)/1 + (-74)/370. Suppose -x*n = -4*n. Solve n = 3*l - 9 + 12 for l.
-1
Suppose 0 = -5*b + 3*o + 28, 4*b - 17 = 4 | {
"pile_set_name": "DM Mathematics"
} |
(3/5)*p**(1/4)))/((p*p**(-2))/p*p/((p*p*p**10/p*p*p*p)/p))**(-4/27) assuming p is positive.
p**(581/540)
Simplify (b**(3/5)/(b/(b*(b/(b*b*b**5))/b)))**(2/33)*(((b**(-3/2)/b)/b)/b*b*b**(-1/4))/(b**1*b/(b**(-3)*b)) assuming b is positive.
b**(-5371/660)
Simplify (i**(-3/31)*i)**(-49)*(i**(-11))**(-9) assuming i is positive.
i**(1697/31)
Simplify ((w/(w/w**0))**(-1/20))**37/(w**(1/10)/w**(2/31)*w*w*w/w**(-2)*((w/(w**(3/8)*w))/w)/w) assuming w is positive.
w**(-3299/1240)
Simplify ((n*n**2)/n**(2/5)*n/(n/(n**(-2)*n)*n)*n**(4/5))/(n**(-2/25)/n*n/n**7*(n**(2/5))**(-2/9)) assuming n is positive.
n**(1928/225)
Simplify (((k**1*k)/k*k*k*k**23)**(2/117))**6 assuming k is positive.
k**(8/3)
Simplify (((w/(w**(-7)/w))/(w**(-4/3)*w))/(w**1)**37)/((w*(w/w**(-1/2))/w)**(-15/7)*((w**4/w)/w)/(w*w**(-3))) assuming w is positive.
w**(-1195/42)
Simplify (a/(a*a**3)*a**6)/((a/(a*a**0)*a)/a**4)*(a**(1/4)/(((a/((a*a**(2/3))/a)*a)/a*a)/a))**(21/5) assuming a is positive.
a**(113/20)
Simplify (g**16/(g*g*g/((g/g**(-23)*g)/g)*g)*g/(g*g**(5/7))*g*g**(-7/8))**37 assuming g is positive.
g**(73371/56)
Simplify ((f*f**(-3/16))**27*f**(-11)*f/(f*(f**(-5)*f)/f*f))**(7/2) assuming f is positive.
f**(1673/32)
Simplify n**(3/2)*n**3*(n*n**(4/9))/n**(-2/5)*(n/(n**(2/17)/n))/n*n*n/(n**(-2/7)*n)*n*(n**2*n*n)/n*n*n/n**(2/5) assuming n is positive.
n**(30229/2142)
Simplify (d**1)**(-4/5)*d/(d/(d**(-2/13)/d))*d**8*(d**0/d)**(1/11)/(d/d**1)**(1/49) assuming d is positive.
d**(4258/715)
Simplify (((q/q**(-1/12)*q)/(q/(q/q**0)))/(q**(-2/9)*q)**(5/8))/((q**0)**(5/3))**(2/29) assuming q is positive.
q**(115/72)
Simplify ((g**(-1))**(-20/9)/(g**7/g*g**(-2)))/((g*g**(-2/7)*g)**35*(g**3*g)/g**6) assuming g is positive.
g**(-538/9)
Simplify ((c*(c/(c/(c**1/c))*c)/c*c)/(c*((c/c**1)/c*c)/c))/((c/c**(1/7))/c**(3/7))*((c/(c*c*(c**(4/11)/c)/c*c))/(c**0*c))**34 assuming c is positive.
c**(-3449/77)
Simplify ((((z**(1/3))**(-2/103))**(-1/8))**20)**(-3/35) assuming z is positive.
z**(-1/721)
Simplify a*a**0*(a*a/(a/((a*a*a/a**(-1)*a*a)/a))*a)/a*(a**(1/3))**(-3)*(a**(1/3)*a**6)/(a/a**5*a*a**(2/17)) assuming a is positive.
a**(776/51)
Simplify ((x/(x*x/x**(1/3))*x)/(x*x**(-1/8)))/(((x*x*x**(1/5)*x)/x)/x**(-3/7))*(x**(6/11)*((x**(4/3)*x)/x)/x*x)**(2/67) assuming x is positive.
x**(-642637/206360)
Simplify (n**(-19)/(n/(n*n/n**5))*(n**(1/2))**(-2/57))**20 assuming n is positive.
n**(-26240/57)
Simplify ((p**(2/7)*p*p)**(-24)*(p**1)**22)/(p**(3/7)/(p/(p/(p**(-1/7)/p))*p*p))**(3/26) assuming p is positive.
p**(-853/26)
Simplify ((m/(m**37/m)*m*(m*m**(-11))/m)/((m/(m**(-2/75)*m))/(m**33*m)))**(-22) assuming m is positive.
m**(18194/75)
Simplify ((x*x**(2/19)*x/((x*x**19)/x))/(x**8*x*x*(x*x/(x*x/(x/x**(3/4))))/x))**(-30) assuming x is positive.
x**(29805/38)
Simplify ((i**(5/3)*i*i)/(i*i*i*i**(-5)))**29/((i*(i*i*(i/(i/((i**(-2/7)/i)/i)*i))/i*i)/i)**(-41))**(-5/18) assuming i is positive.
i**(7517/42)
Simplify (b/b**(-2/3))**(-37)/(b**0)**(-2/31)*(b**(-2/3)/b**(2/13))**(7/3) assuming b is positive.
b**(-7439/117)
Simplify ((t/t**(-17))/t*t**(-20)/t*t*(t*t**(-2/25))/t*t**(-9))**(-4) assuming t is positive.
t**(1208/25)
Simplify (u**1)**(8/17)/(u*u**(1/4)*u)**(-3/5)*(u**(-1)/(u*(u**(3/5)/u)/u*u*u))/(u**1)**21 assuming u is positive.
u**(-1481/68)
Simplify ((((w*w*w**(-3/7)*w)/w)/(w/(w/w**(-2/9))*w))/((w/(w*w**6*w))/((w*w**(1/5))/w)))/((w/w**(1/3))**33/(w**(-1))**44) assuming w is positive.
w**(-18272/315)
Simplify ((i**(5/3)/i**(-1/2))/(i**(5/7)/i*i*i*i*i**(-10)))**27 assuming i is positive.
i**(3573/14)
Simplify ((((x**0)**(-26))**42)**(-9))**(-19) assuming x is positive.
1
Simplify ((u**(1/6)*u**4/u)/(u/u**(-1))**46)/(((u*u/(u/(u/(u**0/u))))/u)**(2/5)*u**(-1)/(u/(u**2*u))) assuming u is positive.
u**(-2719/30)
Simplify (((m*m**(-2/15)*m)/m)/m*m**(-3/8)*(m**(4/11)*m)/(m/(m/m**(-20))))**(29/5) assuming m is positive.
m**(798341/6600)
Simplify ((n**1)**(3/14)/((((n**13/n)/n)/n)/(n**(5/3)/n)))**(-16) assuming n is positive.
n**(3064/21)
Simplify (g**1*g)**(-1/24)/(g*g*(g*g**(2/3)*g)/g)**32*(g*g*g**(1/5)/g*g*((g**5*g)/g*g)/g)**(-9) assuming g is positive.
g**(-10933/60)
Simplify (j*j/(j/(((j**(2/3)/j*j)/j)/j)))**(-1/25)/(j*j**(2/5)*j*j**(-2))*((j**6/j)/j**(1/7))/(j*j**1*j*j**(1/3)) assuming j is positive.
j**(199/175)
Simplify (((g/((g*g/(g/g**4))/g))/g)**(7/10)/((g**(1/12)*g)/g*g**14))**21 assuming g is positive.
g**(-7091/20)
Simplify ((((d**(-3)*d*d)/d)/(d/(d*d**(-6)/d)))/(d**(-2/9)/(d*d/(d/d**(-8)))))/((d**4)**(16/7))**(1/35) assuming d is positive.
d**(-35366/2205)
Simplify ((f**(-2/5)/f**6)/(f/f**(-6/5)*f/(f/f**(-2))))/(((f/((f*f/(f*f**(-5/4)/f))/f*f))/f**6)/(f**(-1))**50) assuming f is positive.
f**(-967/20)
Simplify (((g**(-7)/g**(-2))**10)**(-50))**(1/6) assuming g is positive.
g**(1250/3)
Simplify ((f**(-2/15)*f*f*(f*f/(f/(f/(f**38/f))))/f)/(f/f**(-1/3)*f*f**42*f))**(-5/11) assuming f is positive.
f**(1192/33)
Simplify (r/r**4)/(r*r**(-8))*r**(-2/3)/(r/r**(3/4))*((r/(((r*r**6)/r)/r))/((r/((r**(1/11)/r)/r*r*r))/r))**(-47) assuming r is positive.
r**(24659/132)
Simplify ((((z**(-2/7))**47)**(3/26))**(-22))**31 assuming z is positive.
z**(96162/91)
Simplify (q**(-16))**27/(q*q*q**(-42)*q*q)**28 assuming q is positive.
q**632
Simplify (((i**(-2/5))**(2/47)/((i/(i*i**(4/5)))/(i/i**3*i)))**19)**(-1/4) assuming i is positive.
i**(969/940)
Simplify ((y**(-2))**(1/2))**18*((y*y/(y*y/y**(-6/5)))/y**(-2/11))/(y**(-1)*y*y*y**(-4/3)/y*y) assuming y is positive.
y**(-3083/165)
Simplify (((i**8*i/(i/i**(-3))*i)/(i**(-1)/((i*i**8)/i)))**(1/5))**(-41) assuming i is positive.
i**(-123)
Simplify ((z*z**7)/z**(4/9))**43*(z**5/z**(-7))**32 assuming z is positive.
z**(6380/9)
Simplify (((t**(-1/8)*t**(-2)/t)**16)**9)**16 assuming t is positive.
t**(-7200)
Simplify (z**(-4)*z*z**(-4))/(z**(-2)/(z*z*z/(z/(z*z*z*z**8*z))))*(((z*z*z/(z*z/(z/z**(3/4))*z))/z*z)/z**(-5/3))**(2/27) assuming z is positive.
z**(1481/162)
Simplify (n/n**(-6/7)*n*n*n**(-5))**(-34)*(n**2/n**(1/2))/(n**(-4/7)/n*n/(((n**2*n)/n)/n*n)) assuming n is positive.
n**(601/14)
Simplify (((s**(1/25)*(((s/(s*s**(-1/15)))/s)/s)/s)/(s**(-11)/((s*s*s**(-6))/s)))**35)**(-7/5) assuming s is positive.
s**(-11417/75)
Simplify (((n**(-4)/n**(-3/2))/((n**(4/5)/n*n)/n*n**(-1/2)))**(-35))**(-4/15) assuming n is positive.
n**(-84/5)
Simplify (z**(-10)/(z/(z/z**(1/3))*z))**15*((z/z**0)/z*z)**21/((z*z**(4/9))/(z/(z/z**(3/4)*z*z)*z)) assuming z is positive.
z**(-5425/36)
Simplify (c**(-4)*c*c)/(c**(2/13)*c)*(c/(c**6*c))/c**(2/17)*((c/c**(4/5))/(c*c*c*c**(-3/5)))**(1/3) assuming c is positive.
c**(-33166/3315)
Simplify ((c*c**2/c)**(2/17))**(1/22)/((c/(c/c**(2/9)))**30)**(3/10) assuming c is positive.
c**(-372/187)
Simplify ((m*m**(-8))/(m**(-7)*m*m)*m**(-1/4)*m**(1/5))/((m**(2/7))**(-23))**16 assuming m is positive.
m**(14433/140)
Simplify (((t*t*t/(t*t/(t**(2/9)*t)))**(-8/13)/(t**(-1/3))**(-27))**(-3/14))**(1/36) assuming t is positive.
t**(1213/19656)
Simplify (((q**(-2/31)*q)/q*q)/(q/(q*q**9*q))*(q*q**(1/5)*q)**4)**43 assuming q is positive.
q**(131537/155)
Simplify (((r**(-2/9)/r)/r)**35)**(2/31)/(((((((r**(-8)/r)/r*r)/r)/r)/r)/r)/(r/(r/r**6))*r*r*r/r**8*r**(-4)) assuming r is positive.
r**(6412/279)
Simplify ((x*(x*x/(x/(x/x**(-1))))/x)**(-2/7))**(-2/97)/((x**0*x)/(x*(x**(-4/7)*x)/x*x)*x/x**(-1/11)*x*(x**(-5)*x)/x) assuming x is positive.
x**(25061/7469)
Simplify (((t/t**(-3)*t*t)/t)**(-25)*t**1/(t/(t*t/(t*t**(-2/13)))))**(10/7) assuming t is positive.
t**(-2300/13)
Simplify ((s**(-1)/s)/s)**(2/39)/(s**(-4)/(s**(1/3)/s*s))*(s**(-3/5)/(s/(s*s**(-5))))/(s*s**(1/3))**(-18) assuming s is positive.
s**(4403/195)
Simplify ((i/((i*i**(-1/11)*i*i)/i*i))**(-11)/(i*(i/i**(10/9))/i*i*i*i*i*i*i*i**(-2)*i*i))**(-2/5) assuming i is positive.
i**(-272/45)
Simplify (((f/(f*f**(-1/2)))/f**5)/((f/(f*f**(-4/9))*f*f)/f*f*f**(-1/10)/f*f*f))/(((f*f**0)/f)**(-6/7))**(-27) assuming f is positive.
f**(-353/45)
Simplify (((h**(2/11)/h)/(h*h*(h*h**13*h)/h*h*h))/(h*h**(-2))**12)**37 assuming h is positive.
h**(-2775/11)
Simplify ((d/(d/(d/d**(1/5))))/(d/d**(1/6)))/((d*d**0)/d**(-1/2))*((d/(d/(d**4/d*d*d)*d))**(-8))**41 assuming d is positive.
d**(-19703/15)
Simplify ((a**(8/9))**(-31)*(a/a**(1/59))/(a*a**(9/5)/a*a*a))**12 assuming a is positive.
a**(-322556/885)
Simplify (((q**(-1)/q)**19*q**(2/11)*q | {
"pile_set_name": "DM Mathematics"
} |
))).
-sqrt(2)/12
Simplify -2 + (((sqrt(88) - -2*sqrt(88)) + sqrt(88))*5)/sqrt(8).
-2 + 20*sqrt(11)
Simplify (-4*-1*sqrt(15))/sqrt(5)*4.
16*sqrt(3)
Simplify (sqrt(360)/sqrt(250))/(sqrt(432)*2).
sqrt(3)/60
Simplify (sqrt(1539) + (sqrt(1539) - (sqrt(1539) + 2 + -2)))**2.
1539
Simplify 5*sqrt(52) - (sqrt(13) + 0 + -5).
5 + 9*sqrt(13)
Simplify 3 + ((-2*sqrt(459))/sqrt(9))/((sqrt(3) + sqrt(3) + sqrt(12))*6).
-sqrt(17)/12 + 3
Simplify ((3*(sqrt(49) + sqrt(441)) - sqrt(49))/sqrt(7))**2.
847
Simplify (1 + sqrt(3) + (-4 + sqrt(3))*3 + sqrt(3))**2.
-110*sqrt(3) + 196
Simplify (5*(4 + (sqrt(7) - 1*sqrt(7))) + 1)**2.
441
Simplify (-1*(sqrt(52) + -1*sqrt(52)))/((sqrt(64) - (1*sqrt(64) - sqrt(64) - sqrt(64))) + sqrt(64) + sqrt(64)).
0
Simplify -2*(sqrt(68) + -1*sqrt(68))**2 - -3*(sqrt(17) + (sqrt(17) + 0)**2 + 0).
3*sqrt(17) + 51
Simplify -3 + (3*sqrt(624))/sqrt(12).
-3 + 6*sqrt(13)
Simplify (sqrt(75) - (sqrt(75) + 0))*-5.
0
Simplify (sqrt(72) + 1*sqrt(72) - sqrt(18))/((sqrt(60)/sqrt(2))/sqrt(5)).
3*sqrt(3)
Simplify (sqrt(81)/sqrt(3) - sqrt(27))**2 + sqrt(18)/sqrt(96) + 2.
sqrt(3)/4 + 2
Simplify -5 + (sqrt(55)/(sqrt(5) + sqrt(45)) - sqrt(11) - sqrt(11)).
-7*sqrt(11)/4 - 5
Simplify ((sqrt(1100) + 4*sqrt(1100))*1)**2.
27500
Simplify sqrt(100)/sqrt(5)*-1.
-2*sqrt(5)
Simplify (sqrt(70) + 5*(sqrt(70) + sqrt(70)*2 - sqrt(70)))/(sqrt(20)/sqrt(2)*1).
11*sqrt(7)
Simplify sqrt(24)/sqrt(128) - ((-2*sqrt(300))**2 - sqrt(300)).
-1200 + 41*sqrt(3)/4
Simplify ((sqrt(95) - sqrt(95)*1)*-5)/sqrt(5).
0
Simplify 5 + ((sqrt(34) + sqrt(136))/sqrt(2))**2*4.
617
Simplify 4 + (sqrt(343) - ((3*sqrt(343)*1)**2 + sqrt(343))) + sqrt(343).
-3083 + 7*sqrt(7)
Simplify -4*(1 + sqrt(405))**2*5.
-8120 - 360*sqrt(5)
Simplify (3*-2*sqrt(539) - (1 + sqrt(539) + -2))**2.
-98*sqrt(11) + 26412
Simplify -1*(1 + sqrt(363)) + sqrt(363) + (sqrt(363) + 0 + -2)**2 + sqrt(363).
-33*sqrt(3) + 366
Simplify (sqrt(200)*2 + sqrt(200))**2*-1 + sqrt(16)/(sqrt(80)/(sqrt(30)/sqrt(3))).
-1800 + sqrt(2)
Simplify (sqrt(110)/(2*sqrt(160)))**2.
11/64
Simplify (sqrt(102)/sqrt(6)*-2 + 5)**2*-6.
-558 + 120*sqrt(17)
Simplify (1*sqrt(1872)*-6)**2 + -3*sqrt(832)*2.
-48*sqrt(13) + 67392
Simplify 5*-1*sqrt(98) - -5*(3*sqrt(98))**2.
-35*sqrt(2) + 4410
Simplify (sqrt(315) - sqrt(315)*1)/(sqrt(112)*-4 - sqrt(7)).
0
Simplify -4*(-5*(0 + sqrt(833)) - sqrt(833)).
168*sqrt(17)
Simplify (sqrt(364)/sqrt(7) - (sqrt(117) + -1 - sqrt(13)))**2.
1
Simplify (1 + sqrt(272) + -2)**2 - sqrt(272)*2*3.
-32*sqrt(17) + 273
Simplify 2*sqrt(2) + 0 + -2.
-2 + 2*sqrt(2)
Simplify (sqrt(132) + sqrt(132) + -5*sqrt(132)*1 + sqrt(132))/(1*sqrt(768)).
-sqrt(11)/4
Simplify (-2*sqrt(117)*-2 - sqrt(117))/(sqrt(54)/(sqrt(6)*-1)).
-3*sqrt(13)
Simplify -4*3*(sqrt(1300)*-2 + sqrt(1300) - sqrt(156)/(sqrt(36)/sqrt(3))).
132*sqrt(13)
Simplify sqrt(18)/(-4*(sqrt(6) - sqrt(96))).
sqrt(3)/12
Simplify sqrt(121)/sqrt(176) + ((sqrt(44) + (sqrt(88)/sqrt(2) - sqrt(44)))/sqrt(4) - sqrt(88)/(sqrt(24)/sqrt(3))).
sqrt(11)/4
Simplify -2*(sqrt(1377) - (sqrt(1377)*1 - sqrt(1377)))*6.
-108*sqrt(17)
Simplify (sqrt(165)/(sqrt(5)*-3))/sqrt(3) + 2.
-sqrt(11)/3 + 2
Simplify (sqrt(35)*-1*1)/(sqrt(14)/sqrt(32)).
-4*sqrt(5)
Simplify sqrt(44)/(sqrt(28)/(sqrt(35)/sqrt(5))).
sqrt(11)
Simplify (sqrt(34)/sqrt(2) + -1 - sqrt(119)/sqrt(175))**2.
-8*sqrt(17)/5 + 297/25
Simplify (sqrt(187) + sqrt(187)*2*-4)/(-6*((sqrt(11) - sqrt(33)/sqrt(3)) + sqrt(11))).
7*sqrt(17)/6
Simplify -3*(sqrt(1216) + 0 + -3)**2.
-3675 + 144*sqrt(19)
Simplify sqrt(176) - (sqrt(176)*1 + -4 - sqrt(176)).
4 + 4*sqrt(11)
Simplify -2*sqrt(3)*-6 + (-1 + sqrt(48))**2.
4*sqrt(3) + 49
Simplify (3*sqrt(95)*3)/(sqrt(5) + sqrt(125) + -1*sqrt(125)).
9*sqrt(19)
Simplify sqrt(720) + -2*sqrt(720) + -3 + -1.
-12*sqrt(5) - 4
Simplify sqrt(204)/(1*sqrt(1200)) - -4*(sqrt(1700) + sqrt(1700)*-1).
sqrt(17)/10
Simplify (sqrt(190)/(sqrt(10) + sqrt(10)*1))**2 + (-3*-2*sqrt(19))**2.
2755/4
Simplify (-3*sqrt(931) + sqrt(19))**2*-4.
-30400
Simplify -5*(4 + -1*sqrt(68)/sqrt(4)).
-20 + 5*sqrt(17)
Simplify ((-1*sqrt(34)/sqrt(2))**2 - sqrt(68)/sqrt(64)) + -4.
-sqrt(17)/4 + 13
Simplify (sqrt(14)/((sqrt(32)/sqrt(8))/sqrt(2)))**2.
7
Simplify -4*(sqrt(567) - sqrt(567)*-1)*-4.
288*sqrt(7)
Simplify (sqrt(6897)*2)/(sqrt(48)*4).
11*sqrt(19)/8
Simplify -2 + ((-2*sqrt(204))/sqrt(12))**2.
66
Simplify (-5 + 3 + 0 + sqrt(2299))**2.
-44*sqrt(19) + 2303
Simplify (4*(sqrt(1053) + (sqrt(1053) + 1)*3))**2.
3456*sqrt(13) + 269712
Simplify (4*(0 + sqrt(2448) + 0))**2.
39168
Simplify (-2 + sqrt(108) + sqrt(3) - 3*sqrt(12)/sqrt(4))**2.
-16*sqrt(3) + 52
Simplify ((sqrt(171) + -1*sqrt(171)*-6 + sqrt(171) + sqrt(171)*-2 + sqrt(171) + sqrt(171) + 5)*-3)**2.
2160*sqrt(19) + 98721
Simplify (sqrt(300)*2*6 + sqrt(300))**2.
50700
Simplify -6*(-2*sqrt(672))/(sqrt(6) - (sqrt(72) - (sqrt(72) - 2*sqrt(72)))/sqrt(12)).
-48*sqrt(7)
Simplify ((sqrt(68) + sqrt(68) + (-2*sqrt(68) + sqrt(68) - sqrt(68)) - sqrt(68))*-5)/(sqrt(4) - (sqrt(4) + (-3*sqrt(16) - sqrt(16))/sqrt(4)) - sqrt(4)).
5*sqrt(17)/3
Simplify (sqrt(704) + 1*(sqrt(704) + -2) + -4 + (-2*sqrt(704) - sqrt(704)) + sqrt(704))**2.
36
Simplify -6*(sqrt(4)/sqrt(18))**2*6.
-8
Simplify (((4*(sqrt(136) - sqrt(136)*-2) - sqrt(136)) + sqrt(136) - sqrt(136))/sqrt(8))**2.
2057
Simplify -1*(3*(1 + sqrt(13)) - sqrt(13) - sqrt(13)) - ((sqrt(52)/sqrt(4))**2 + -2 + sqrt(13) + -1).
-13 - 2*sqrt(13)
Simplify sqrt(15)/sqrt(3) + -5 + -2*(sqrt(5) + 0).
-5 - sqrt(5)
Simplify -5 + (sqrt(6) + sqrt(30)/(sqrt(20)/sqrt(4)))/sqrt(3).
-5 + 2*sqrt(2)
Simplify (sqrt(432) + 0)**2 + -4.
428
Simplify 1*(-1*sqrt(1100)*-2)**2.
4400
Simplify sqrt(228)/(-1*sqrt(768)).
-sqrt(19)/8
Simplify (sqrt(12)*-2*-4)/(-1*sqrt(216)).
-4*sqrt(2)/3
Simplify (3*1*sqrt(171) - sqrt(171))/(sqrt(9) + sqrt(972)/sqrt(3)).
2*sqrt(19)/7
Simplify -2*(sqrt(152)/(1*sqrt(8)) + sqrt(19)).
-4*sqrt(19)
Simplify (sqrt(20) + -1 + sqrt(1280))**2 + -5.
-36*sqrt(5) + 1616
Simplify ((2*sqrt(80))/sqrt(4))/sqrt(4).
2*sqrt(5)
Simplify (sqrt(77) - (sqrt(77) + sqrt(77) + sqrt(77)*-1 + sqrt(77))*6)/sqrt(11).
-11*sqrt(7)
Simplify (sqrt(88)/sqrt(11))**2 + sqrt(6)/(sqrt(9)/sqrt(3) + sqrt(3)) + -4*(sqrt(4)/sqrt(2)*-6)**2.
-280 + sqrt(2)/2
Simplify ((sqrt(121)/(sqrt(33)/sqrt(3)) + 4)*-1)**2.
8*sqrt(11) + 27
Simplify sqrt(1800) + -2 + 3.
1 + 30*sqrt(2)
Simplify sqrt(2205) + 2 + sqrt(2205) + sqrt(2205) + -2.
63*sqrt(5)
Simplify (sqrt(1331) + 3)*5 + -4.
11 + 55*sqrt(11)
Simplify 4 + (sqrt(300) + 1*sqrt(300))*-5 + (0 + sqrt(300) + 0)**2.
-100*sqrt(3) + 304
Simplify (-2 + sqrt(320) + -4)**2.
-96*sqrt(5) + 356
Simplify -3*sqrt(15)/(2*sqrt(5)).
-3*sqrt(3)/2
Simplify (1*(3 + sqrt(10)/sqrt(2) - (-3 + -1*sqrt(5))))**2.
24*sqrt(5) + 56
Simplify sqrt(3) - sqrt(432) - (3*(-1 + sqrt(3)) - sqrt(3))**2.
-21 + sqrt(3)
Simplify (3 + sqrt(13)*-3 + 4)**2.
-42*sqrt(13) + 166
Simplify (sqrt(99) - (sqrt(99) + -1*(sqrt(99) - -2*sqrt(99))))/sqrt(9).
3*sqrt(11)
Simplify (-6*((2 + sqrt(1872))*5 + sqrt(1872) - sqrt(1872)))**2*-6.
-10130400 - 259200*sqrt(13)
Simplify (5*(sqrt(114) - -2*sqrt(114)))/sqrt(6).
15*sqrt(19)
Simplify -2*(-1 + sqrt(7))*-5.
-10 + 10*sqrt(7)
Simplify (sqrt(128) - ((sqrt(128) - (sqrt(128) + -2))**2 + sqrt(128))) + sqrt(128) - -3*sqrt(32).
-4 + 20*sqrt(2)
Simplify -4 + (sqrt(605) + 3 + sqrt(605) + sqrt(5))**2.
138*sqrt(5) + 2650
Simplify (sqrt(4900) - (sqrt(4900) + sqrt(4900) + 1*sqrt(4900)))/(sqrt(35)/sqrt(5)*5).
-4*sqrt(7)
Simplify sqrt(3) - (1*sqrt(27))/sqrt(9) - (1 + sqrt(108)).
-6*sqrt(3) - 1
Simplify (sqrt(63)/(sqrt(9) + sqrt(18)/sqrt(2)) - sqrt(49)/(-2*sqrt(7))) + (sqrt(56)/(-6*(sqrt(8) + (sqrt(24)/sqrt(3) - sqrt(8)))))**2.
7/36 + sqrt(7)
Simplify -1*(sqrt(304) + -2 - sqrt(19)).
-3*sqrt(19) + 2
Simplify (sqrt(136)*-4)/sqrt(8) - sqrt(34)/(sqrt(72) - sqrt(2)).
-21*sqrt(17)/5
Simplify -6*(sqrt(12) + -3 + -2 + 3).
-12*sqrt(3) + 12
Simplify ((2 + sqrt(275))*-6 + sqrt(275) - (-1*sqrt(275) + sqrt(275) + 4))**2.
800*sqrt(11) + 7131
Simplify ((sqrt(143)/(sqrt(33)/sqrt(3)) - (sqrt(13) + -1 + -2 - sqrt(13)))*5 + 3)**2.
180*sqrt(13) + 649
Simplify ((sqrt(256) + sqrt(256)*-1)*-6)/sqrt(8).
0
Simplify ((sqrt(280)/(-5*sqrt(8)))/sqrt(7))**2.
1/5
Simplify sqrt(125)*2 + 2.
2 + 10*sqrt(5)
Simplify (sqrt(308)/sqrt(44))/sqrt(4).
sqrt(7)/2
Simplify ((3 + sqrt(125) - sqrt(125))**2 - sqrt(125) - sqrt(125)) + -4.
-10*sqrt(5) + 5
Simplify 1*sq | {
"pile_set_name": "DM Mathematics"
} |
- 5*x + 5*x. Let f be w(2). Let m(s) = 8*s - f*s + 4*s. Let n(j) = 13*j**2. Give m(n(i)).
13*i**2
Let z(r) = -3515*r**2. Let f(h) = 231*h - 22. Calculate f(z(o)).
-811965*o**2 - 22
Let f be 233 + (8/(-10))/((-17)/(-85)). Let w(s) = -f - 237 + 466 - s. Let p(m) = 28*m. What is p(w(a))?
-28*a
Let l(y) = -42 - 2*y - 99*y**2 + 5*y + 45. Let n(o) = 2080*o**2 - 64*o - 64. Let w(q) = -64*l(q) - 3*n(q). Let f(v) = v. Calculate w(f(c)).
96*c**2
Let w(f) = -31*f**2 - 5*f + 3*f + 2*f. Let p(d) = 9*d + 8542 - 8542. Calculate p(w(l)).
-279*l**2
Let b(g) = -4*g + 36. Let z(s) be the second derivative of 1/3*s**3 + 0*s**2 + 0 - 215*s. What is z(b(d))?
-8*d + 72
Let u be ((-75)/(-10))/((-132)/(-88)). Let b(h) be the third derivative of 1/30*h**u + 0 + 0*h + 0*h**3 + 0*h**4 + 5*h**2. Let j(n) = 9*n. What is b(j(x))?
162*x**2
Let s(f) be the third derivative of f**5/60 - 7990*f**2. Let o(y) = 57*y**2 - 9*y**2 - 5*y**2. Determine s(o(p)).
1849*p**4
Let m(t) = -3*t + 1. Let p(c) be the third derivative of c**5/20 + 1542*c**2. Determine p(m(s)).
27*s**2 - 18*s + 3
Let l(d) = -187*d**2. Suppose w - 23 = 2*g - 30, 2*w - 3*g + 11 = 0. Let c(x) = 2*x + 1. Let y(s) = -8*s - 3. Let v(k) = w*y(k) - 3*c(k). Calculate v(l(z)).
-374*z**2
Let y(h) = 15*h**2 - 5*h - 5. Let i(r) = 46*r**2 - 16*r - 16. Let d(w) = 5*i(w) - 16*y(w). Let z(b) be the first derivative of -b**2/2 + 757. What is d(z(s))?
-10*s**2
Let o(l) = -4*l + 78692. Let w(b) = 4*b + 27. Calculate o(w(i)).
-16*i + 78584
Let x(v) = 3*v + 1. Let l(z) = -4347*z**2 - 1. Calculate x(l(u)).
-13041*u**2 - 2
Let o(j) = 1460*j + 3. Let l(w) = 1695*w. Give o(l(s)).
2474700*s + 3
Let p(x) = -x**2. Let w(y) = -1386*y**2 - 3864*y. Let r(n) = 2*n**2 - 23*n. Let t(v) = -168*r(v) + w(v). What is p(t(u))?
-2965284*u**4
Let i(a) = -28*a + 65. Let t be i(2). Let d(b) = t*b + 4*b + 5*b - 21*b. Let j(m) = 24*m. Determine j(d(w)).
-72*w
Let f(h) = h**2 - 5*h. Let r be f(6). Let n(w) = -w - w - 2*w + r*w. Let b(u) = -4606 + 9218 - 4612 - 28*u**2. Calculate b(n(i)).
-112*i**2
Let j(b) = -b**2 + 25*b**2 - 25*b**2. Let c(x) = -7*x + 2. Let v(k) = -6*k + 1. Suppose 5*i - 9 = 8*i. Let m(p) = i*c(p) + 4*v(p). Determine j(m(f)).
-9*f**2 - 12*f - 4
Let u(z) = -2746*z. Let p(k) = -2*k**2 - 8*k + 2. Let v(d) = 4*d**2 + 20*d - 5. Let s(i) = -5*p(i) - 2*v(i). Determine s(u(c)).
15081032*c**2
Let j(q) = -2*q. Let p(h) = 7309*h + 6888*h + 2317*h. Determine j(p(a)).
-33028*a
Let z(k) be the second derivative of 5*k**3/2 + 40*k - 4. Let p(r) = r**2 - 2*r**2 + 4*r**2. What is p(z(c))?
675*c**2
Let g(h) = -14*h**2 - 3. Let o(u) = -15542*u. Give o(g(k)).
217588*k**2 + 46626
Suppose -w + 4*c = -200, 5*w + 14*c = 15*c + 1095. Let f(q) = -w*q + 4*q**2 + q**2 + 220*q. Let n(p) = p. Give f(n(r)).
5*r**2
Let d(i) = 3*i**2 + 2*i - 399. Let l(j) = 208*j + 23. Let a(p) = -36*p - 4. Let f(t) = -23*a(t) - 4*l(t). Give d(f(b)).
48*b**2 - 8*b - 399
Suppose -3*a + 12 = 6. Let i(w) = 73*w**a - 20*w**2 - 25*w**2 - 21*w**2. Let g(n) = 0*n + 3*n - 3*n - n**2. Calculate g(i(l)).
-49*l**4
Let b(k) be the first derivative of -k**2/2 - 8*k - 218. Let y(g) = 112*g - 33. Let i(z) = 4*b(z) - y(z). Let f(j) = -2*j. Determine i(f(n)).
232*n + 1
Let w(i) = -24*i**2 - 34*i**2 - 28*i**2 + 84*i**2. Let g(k) = -2*k + 269. What is g(w(o))?
4*o**2 + 269
Let v(c) = -c. Let d(i) = -i - 1350231. What is v(d(t))?
t + 1350231
Let j(u) be the third derivative of -u**5/60 + 1450*u**2. Let q(y) = 26*y + 24. Give j(q(h)).
-676*h**2 - 1248*h - 576
Let o(l) = -4*l**2 + 6*l + 6. Let a(n) = n**2 - n - 1. Let h(t) = 6*a(t) + o(t). Let i(j) = 714*j - 2. Calculate i(h(g)).
1428*g**2 - 2
Let p(m) = -16*m. Let g(h) = -32*h**2 - 12. Let u(a) be the third derivative of -13*a**5/60 - 5*a**3/6 + 3*a**2. Let o(i) = 5*g(i) - 12*u(i). Calculate o(p(r)).
-1024*r**2
Let r(t) = -2*t**2. Let h(w) = -1379*w - 55. Calculate h(r(u)).
2758*u**2 - 55
Let y(l) = -20*l. Let b(q) = -4*q. Let u(j) = 28*b(j) - 6*y(j). Let p(s) = -8*s**2. Calculate p(u(v)).
-512*v**2
Let b(z) = 88*z + 121. Let v(a) be the second derivative of a**3/2 + 2*a**2 + 8*a + 3. Let k(m) = 4*b(m) - 121*v(m). Let d(r) = 3*r. Calculate k(d(j)).
-33*j
Let w(x) = 21984*x - 43994*x + 21997*x. Let f(k) = -11*k - 45. Give f(w(h)).
143*h - 45
Let f(y) = -18*y**2. Let u(j) = -127*j + 70. Let q(r) = 1820*r - 1001. Let d(m) = 10*q(m) + 143*u(m). What is f(d(k))?
-27378*k**2
Let c(b) be the second derivative of -33*b + 0*b**2 + 0 - 1/3*b**3. Let s(z) = -13*z**2 + 1. What is s(c(a))?
-52*a**2 + 1
Let y(n) = -2*n. Let d(j) = 409 - 810 + 1352*j + 401. What is d(y(t))?
-2704*t
Let h(i) = 20*i**2 - 695. Let t(x) = -4*x + 120. Calculate h(t(j)).
320*j**2 - 19200*j + 287305
Let o(q) = 16*q + 4. Let v(d) = 89777*d - 1. Give o(v(m)).
1436432*m - 12
Let j(m) = 555*m. Let r(w) = -178*w**2. Determine r(j(i)).
-54828450*i**2
Let m(h) = 7*h + 1. Let g(p) = -32041*p. Determine m(g(v)).
-224287*v + 1
Let q(f) = -211025*f + 4. Let y(o) = -o. Determine y(q(d)).
211025*d - 4
Let w(d) = 2*d. Let q(s) be the second derivative of -31*s + 4*s**2 + 13/6*s**3 + 1. What is q(w(t))?
26*t + 8
Let u(v) = 7*v. Suppose -3*l = -f + 2*f - 26, -4*l + f = -23. Suppose -l + 5 = -t. Let n(s) = 2*s + t*s - 2*s - 4*s. Give n(u(o)).
-14*o
Let m(h) be the second derivative of 7*h**4/6 + 1145*h. Let r(k) = -3*k + 4. Let z(s) = -5*s + 7. Let a(y) = 7*r(y) - 4*z(y). Give m(a(j)).
14*j**2
Let m(y) = -3*y**2 - y. Let u(s) = -91*s**2 - 28*s. Let l(p) = 28*m(p) - u(p). Let t(a) = 9*a + 14*a - a + 5*a. Determine l(t(d)).
5103*d**2
Let q(u) = -2 - 2*u + 2. Let z(d) be the second derivative of -d**3 + 6*d**3 - 3*d**3 - 10 + d + 5*d + 3*d**3. Determine z(q(x)).
-60*x
Suppose 101 + 29 = v. Let y = v - 57. Let s(x) = -y + 2*x + 73. Let p(k) = -10*k**2. Give p(s(b)).
-40*b**2
Let c(n) = -423*n - 2. Let z(d) = 2554*d + 13. Let j(w) = -13*c(w) - 2*z(w). Let x(p) = -p**2. Give j(x(b)).
-391*b**2
Let z(x) be the first derivative of -926*x**2 + 6502. Let k(s) = -4*s. Determine z(k(a)).
7408*a
Let n(d) = -374*d**2. Let j(i) be the first derivative of -i**3 + 2132. What is n(j(g))?
-3366*g**4
Let b(z) = 230*z. Let j(h) = -199*h - 203*h - 206*h + 612*h. What is j(b(i))?
920*i
Let a(t) = -3*t**2. Let p(c) = -2*c**3 - 12*c**2 - 2*c - 1. Let o be p(-6). Let m(l) = 10*l + 11*l - 7*l - o*l. Calculate m(a(s)).
-9*s**2
Let o(k) = 15*k**2 - 88*k. Let q(h) = -h - 989. Determine o(q(w)).
15*w**2 + 29758*w + 14758847
Let r(l) = -l + 1. Let j(k) = 10*k - 7. Suppose -19 = 2*n - 5*f, -7*n + 4*n + 4 = -f. Let t(v) = n*j(v) + 21*r(v). Let q(d) = 10*d. Calculate t(q(o)).
90*o
Let x(v) be the first derivative of -v**2 + 1. Let y be (4/(-10))/((-27)/(-15) + -2). Let q(z) = 990*z**2 + 983*z**y - 1967*z**2. Determine q(x(u)).
24*u**2
Let b(o) = 7838*o**2. Let v(a) = -10*a**2 + 28*a - 7. Let r(l) = -3*l**2 + 8*l - 2. Let z(u) = -7*r(u) + 2*v(u). What is b(z(y))?
7838*y**4
Let n(b) = 18*b**2. Let p = -91 + 93. Let a(x) be the first derivative of 3*x**2 + 42 - 4*x**p - 76. Determine a(n(f)).
-36*f**2
Let k(j) = 315*j. Let c(f) = 247416*f**2 - 123706*f**2 - 123707*f**2. Give k(c(h)).
945*h**2
Let x(l) = l**2. Let p(w) = -4*w - 5. Let j(n) = -2*n. Let k(z) = 3*j(z) - p(z). Let h(m) = -m + 3. Let f(a) = 5*h(a) - 2*k(a). What is x(f(i))?
i**2 - 10*i + 25
Let n(f) = -6*f + 9*f + 9*f. Let c(z) = -13*z. Let i(w) be the first derivative of 3*w**2 + 17. Let y(t) = -4*c(t) - 9*i(t). Calculate n(y(r)).
-24*r
Let o(w) = 2*w**2. Suppose -30 = 20*p - 21*p - a, 0 = -p + 4*a + 45. Let z(h) = -117*h + p*h + 114*h + 130*h. What is o(z(f))?
51200*f**2
Let m(d) = -4*d**2. Let k(o) = -124274920*o. Determine k(m(f)).
497099680*f**2
Let c(r) = 3*r. Let s(x) be the second derivative of -x**5/10 + x**4/24 - x**3/2 + 11*x**2/2 - 7*x. Let b(k) be the second derivative of s(k). What is c(b(z))?
-36*z + 3
Let s(t) = -7*t**2. Let a(k) = -47553800*k. Calculate a(s(r)).
332876600*r**2
Let s(o) be the first derivative of o**2/2 + 8105. Let d(y) = -391*y**2. Calculate s(d(g)).
-391*g**2
Let s(v) = 78*v**2 - 4*v + 105*v**2 + 4*v - 123*v**2. Let n(z) = -5*z - 3. Determine s(n(j)).
1500*j**2 + 1800*j + 540
Let y(l) = -5924*l**2. Let z(b) = 858*b. Calculate z(y(s)).
-5082792*s**2
Let j(n) = -229*n + 3555. Let r(q) = -q. What is r(j(v))?
229*v - 3555
Let m(c) = 2*c**2. Let t(d) = 4 + | {
"pile_set_name": "DM Mathematics"
} |
*2. Let o(a) = 11*a - 6. Let l(g) = -6*b(g) - 65*o(g). What is l(t(w))?
-5*w
Let p(q) = 2*q**2. Let a(t) = -20209*t**2. Determine a(p(g)).
-80836*g**4
Suppose 0*p - 5 = -p. Let n(z) = -2 + p*z**2 + 2. Let w(t) = -2*t + 8360 - 8360. Determine w(n(l)).
-10*l**2
Let m(i) = 30*i. Let c(d) = -21 - 8*d + 64 - 20 - 23. What is m(c(s))?
-240*s
Let h(u) = -6*u**2. Let j(r) be the second derivative of 7*r**4/6 + 88*r. Give j(h(l)).
504*l**4
Let g be -2 - 23/(207/(-36)). Let y(n) be the first derivative of 0*n + 13 + 1/2*n**g. Let r(z) = 7*z**2. Calculate r(y(h)).
7*h**2
Let u(j) = -2018*j + 31. Let d(o) = 21*o. Give d(u(x)).
-42378*x + 651
Let b(x) = 2*x**2. Let q(n) = -n - 20054. Calculate q(b(u)).
-2*u**2 - 20054
Let a(l) = 416411*l. Let k(h) = -9*h. Determine a(k(f)).
-3747699*f
Let j(s) = 2*s**2. Let x(t) = t**2 - 11260*t - 15. Determine x(j(c)).
4*c**4 - 22520*c**2 - 15
Let z(d) = 118*d - 86. Let a(m) = -2*m. Determine a(z(k)).
-236*k + 172
Let m(x) = -6*x**2. Let j(r) = 2*r**2 + 10*r. Let w(f) = 3*f. Let y(a) = 2*a. Let h(o) = -5*w(o) + 7*y(o). Let u(s) = 10*h(s) + j(s). Give u(m(p)).
72*p**4
Let a(k) = 9*k**2. Let q(n) be the first derivative of -7*n**2/2 + 167. Give q(a(i)).
-63*i**2
Suppose p = -p + 4. Let h(k) = 148*k**2 - 311*k**p + 147*k**2. Let j(f) = f**2. Give j(h(b)).
256*b**4
Let j(z) = 26*z**2. Suppose -96*m + 111*m - 30 = 0. Let d(y) be the first derivative of -7 + 0*y - 1/2*y**m. Give j(d(u)).
26*u**2
Let w(z) be the first derivative of -3*z**2 - 224. Let g(x) = -4*x + 5*x + 3*x. Calculate g(w(o)).
-24*o
Let r(s) = 2496171*s**2. Let u(y) = -2*y**2. Determine r(u(q)).
9984684*q**4
Let g(l) = -2*l. Let m be (3 + -15)*2/(-8). Let u(j) = 5*j - m*j - j. Let c(w) = -3*w. Let a(n) = 4*c(n) + 9*u(n). Calculate g(a(v)).
6*v
Let t(q) = 522004*q**2. Let n(u) = -2*u. Determine n(t(c)).
-1044008*c**2
Let v(i) = i. Let q(j) = -123*j**2 - j - 3*j + 4*j. What is q(v(f))?
-123*f**2
Suppose -4*g = 5*u - 3, 4*u + 9 = 4*g + 3*u. Let d(v) = v + v - g*v - 7*v. Let q(t) = -3*t**2. What is q(d(i))?
-147*i**2
Let h be (-2)/(-6) + 118/6. Let k = h + -11. Let f(v) = v - 3 + k - 6. Let m(t) = -6*t**2. Give m(f(z)).
-6*z**2
Let i(o) = -19*o. Let m(n) = 24*n. Let r(b) = -5*i(b) - 4*m(b). Let k(z) = -351*z. Calculate r(k(a)).
351*a
Let o(f) = f. Let t(a) = -9*a. Let y(m) = -m - 3*m - 2*m + 4*m. Let h(x) = 4*t(x) - 22*y(x). Give o(h(b)).
8*b
Let v(r) be the second derivative of 0*r**3 - 5/12*r**4 - 27*r + 0*r**2 + 0. Let g(k) be the second derivative of k**4/4 - k. Give v(g(o)).
-45*o**4
Let z(i) be the third derivative of -5*i**4/6 + 255*i**2. Let f(d) = -10*d**2. What is f(z(r))?
-4000*r**2
Let u(v) = 3088*v**2. Let s(k) = 8*k**2. Determine s(u(b)).
76285952*b**4
Let u(s) = -26*s. Let c(v) be the first derivative of v**5/120 + 5*v**3/3 + 9. Let m(n) be the third derivative of c(n). Calculate m(u(j)).
-26*j
Let m(i) = -2*i**2 - 1 + 1. Suppose -5*l = -2*n, 8 = l + n + 1. Let c(w) = -l*w**2 - 78*w - w**2 + 78*w. Determine c(m(s)).
-12*s**4
Let c be (0 - 1)/(4/(4 + -8)). Let k(x) = -17 + x + 4 - c. Let r(h) = -2*h. Give r(k(t)).
-2*t + 28
Let j(t) = -t - 1. Let a(b) = -4 + 0 + 5*b + 7 - b. Let c(h) = a(h) + 3*j(h). Let v(w) = 10*w. Calculate c(v(i)).
10*i
Let f(s) = s. Let m be (-8 - 4) + 4 - -8. Let q(t) be the third derivative of 0*t + 0 + 0*t**4 + 1/30*t**5 - 3*t**2 + m*t**3. Determine q(f(k)).
2*k**2
Let i(d) = 24*d - 12. Let a(m) = m. Let w(b) = -54*a(b) + 2*i(b). Let s(v) = -2*v. What is w(s(c))?
12*c - 24
Let q(w) = -126*w**2. Let d(g) = 24*g - 1. Give q(d(j)).
-72576*j**2 + 6048*j - 126
Let t(a) = -21*a - 19*a + 9 - 9. Let c(g) = 9*g. Calculate c(t(x)).
-360*x
Let p(b) = 1566*b**2 + 1. Let d(w) = 10*w. What is p(d(n))?
156600*n**2 + 1
Let s(q) = 54*q. Let o(k) = -k**2 + 4*k + 23. Let b be o(7). Let h(r) = -21*r + 2*r**b + 21*r. Give h(s(x)).
5832*x**2
Let n(v) = 3*v + 18. Let x(l) = 3*l + 15. Let z(q) = 5*n(q) - 6*x(q). Let o(a) = -45*a. Calculate o(z(y)).
135*y
Let k(j) be the third derivative of j**4/24 + 69*j**2. Let m(w) = -2*w + 2. Calculate k(m(t)).
-2*t + 2
Let z(f) = 12134 + 12139 - 24273 + 3*f. Let d(c) = -18*c. Let t(a) = -a. Let k(o) = 2*d(o) - 30*t(o). Determine k(z(m)).
-18*m
Let v(u) = -333*u. Let s(o) = -o - 5. Let y(t) = -t**2 + t + 5. Let m(a) = -2*s(a) - 2*y(a). Calculate v(m(d)).
-666*d**2
Let w(b) = 2*b. Let f(n) = n - 2. Let z = -13 + 16. Let q be f(z). Let u(g) = -5*g + 0 - q + 1. What is u(w(k))?
-10*k
Let i(o) = 525*o. Let u(b) be the third derivative of b**5/60 + 420*b**2. Determine i(u(y)).
525*y**2
Let z(o) = -o**2 + 3 + 2 - 5. Let s(g) = g**2. Let i(y) = 5*y + 6*y - 11*y - 8*y**2. Let f(k) = 3*i(k) + 21*s(k). Calculate f(z(p)).
-3*p**4
Let r(k) = 95942*k**2. Let j(t) = -10*t. Give r(j(o)).
9594200*o**2
Let g(s) be the third derivative of s**4/8 - 44*s**2. Let i(w) = 0*w + 0*w + 2*w**2 - 10*w**2. Calculate g(i(p)).
-24*p**2
Let n(y) be the second derivative of -7*y**3/6 + 185*y + 1. Let c(s) = 94*s. Calculate c(n(z)).
-658*z
Let z(q) = 416*q**2. Let p(h) = -3*h**2 + 0*h**2 + 2*h**2. Calculate z(p(o)).
416*o**4
Let k(r) = 10*r - 325. Let n(s) = -s**2. Give n(k(q)).
-100*q**2 + 6500*q - 105625
Let x(l) = -29*l. Let n(r) = 17*r**2 - 24. Let d(m) = 392*m**2 - 560. Let f(v) = 3*d(v) - 70*n(v). Determine f(x(b)).
-11774*b**2
Let n(u) = 2*u + 7. Let k(o) = o + 3. Let f(z) = -7*k(z) + 3*n(z). Let d(s) = -18*s - 120. Let p(r) = r + 5. Let x(j) = -3*d(j) - 72*p(j). Determine x(f(a)).
18*a
Let l(b) be the second derivative of 29*b**4/12 + 3*b. Let c(z) be the third derivative of -z**4/24 + 29*z**2. What is l(c(p))?
29*p**2
Let t(j) be the first derivative of -j**2 + 233. Let y(a) = -5*a - 6. Determine y(t(q)).
10*q - 6
Let a(o) = 112 - 5*o + 3*o + 2. Let q(k) = 2*k**2. What is q(a(l))?
8*l**2 - 912*l + 25992
Let g(k) = 5970*k**2. Let a(l) = -2*l**2. Calculate a(g(c)).
-71281800*c**4
Let v(l) = l**2 - 28. Let o(z) = 1001*z + z**2 + 3*z**2 - 2*z**2 - 1001*z. Determine o(v(p)).
2*p**4 - 112*p**2 + 1568
Let r(l) = -2163*l**2. Let d(k) = -87*k. Give d(r(t)).
188181*t**2
Let t(y) = -670*y. Let n(p) = -p - 25152 + 25152. What is n(t(f))?
670*f
Let r(k) = k**2 + 0*k**2 + k**2 - 4*k**2. Let y(h) be the first derivative of h**4/12 + h**2 - 1. Let p(a) be the second derivative of y(a). Determine r(p(s)).
-8*s**2
Let l(w) = -w - 14. Let j(y) = -85*y**2 - 2*y. Calculate l(j(d)).
85*d**2 + 2*d - 14
Let d = -123 - -121. Let p(z) = z**2 - z + 1. Let n(r) = 30*r**2 - 35*r + 35. Let v(q) = d*n(q) + 70*p(q). Let y(m) = 2*m - 4*m + 3*m. Determine v(y(i)).
10*i**2
Let l(y) = 10*y. Let f(u) = -333*u + 3. Give l(f(g)).
-3330*g + 30
Let o(p) = -9*p**2. Let j = 568 + -566. Let u(m) be the first derivative of 0*m + 1/2*m**j + 3. Determine u(o(n)).
-9*n**2
Let n(f) be the first derivative of 6*f**3 + 238. Let b(l) be the first derivative of -3*l**2/2 + 3. Calculate n(b(y)).
162*y**2
Let g(d) be the first derivative of d**4/2 + 12*d - 7. Let w(f) be the first derivative of g(f). Let k(p) = 6*p**2. What is k(w(z))?
216*z**4
Let m(s) be the second derivative of 0*s**3 + 0 + 4*s - 13/2*s**2 - 5/24*s**4. Let z(w) be the first derivative of m(w). Let y(p) = 2*p**2. What is y(z(j))?
50*j**2
Let s(q) = 6*q**2. Let z(r) be the first derivative of 15*r**2/2 + 231. Calculate z(s(w)).
90*w**2
Let o(u) = -2*u. Let z(m) = 22*m - 17. Let y(q) = 3*q + 1. Let k(x) = 6*y(x) - z(x). Determine k(o(a)).
8*a + 23
Let j(m) = 121*m**2 - 15*m. Let z(i) = 119*i**2 - 12*i. Let a(q) = -4*j(q) + 5*z(q). Let r(w) = w**2. What is r(a(y))?
12321*y**4
Let l(y) = -3*y + 2. Let f(m) = 27*m**2 - 3*m. Calculate l(f(b)).
-81*b**2 + 9*b + 2
Let d(x) = -10*x**2 + 24*x - 8. Let v(m) = m**2 - 3*m + 1. Let s(h) = 3*d(h) + 24*v(h). Let u(n) = -4*n**2. What is s(u(y))?
-96*y**4
Let f(r) = r**2. Suppose 0*v + 372 = 4*v. Suppose 15 - 84 = -3*m. Let l(j) = -93 + m*j + 6*j + v. Determine f(l(a)).
841*a**2
Let u(r) = 4*r. Let x(g) = -5*g. Let n(m) = -6*u(m) - 5*x(m). Let s(b) = 14*b + 7*b**2 - 14*b. Calculate s(n(o)).
7*o**2
Let m(k) = 3*k. Let b(d) = -35658*d**2. Give m(b(o)).
-106974*o**2
Let j(b) = -9*b. Let m(a) = 8299*a**2. Determine j(m(t)).
-74691*t**2
Suppose 0 = 2*l + l - 12. Let f(p) = -4*p + p + l*p. Let s(x) = -46*x. Let w(h) = -4*h. Let d(o) = 4*s(o) - 44*w(o). Determine d(f(u)).
-8*u
Let x(m) = 338*m | {
"pile_set_name": "DM Mathematics"
} |
Let o be d(0). Suppose -5*w - 4*v + 2083 = 423, o = 5*w + v - 1660. What is the hundreds digit of w?
3
What is the hundreds digit of 1916 - 2*2/(-4)*(100 + -95)?
9
Let z(o) = 91*o**3 - 19*o**2 + 141*o + 16. What is the units digit of z(8)?
0
Let n = 15898 + -2462. What is the thousands digit of n?
3
Let l be 0/((-3)/6*4)*1. Let f(t) = -13*t + 226. What is the hundreds digit of f(l)?
2
Suppose -3*p - 2*r + 4*r + 21 = 0, 2*p - 4*r - 22 = 0. Suppose 3*x + 1964 = p*k, -725 = 5*k - 2*x - 2691. What is the units digit of k?
4
Let i(m) = 240*m + 2000. What is the tens digit of i(72)?
8
Let k(a) = a**3 + 9*a**2 - 9*a - 8. Let q(h) = -h**2 - 5*h - 9. Let j be q(-4). Let o be (-9)/(j/(-4 + -1)). What is the tens digit of k(o)?
7
Let q be (-460)/(-15) + 4/12. Let l = q + -3. Let n = l - -36. What is the units digit of n?
4
What is the ten thousands digit of 3649228/55 + 2 + (0 - 8/5)?
6
Let g(z) = 6984*z**2 - 4*z + 11. What is the hundreds digit of g(1)?
9
Let s be (-26)/(-22) + (-4)/22. Let g be 1 - 4191/(-9) - s/(-3). Suppose 126 = f + 4*i, -4*f + g = 5*i - 26. What is the tens digit of f?
2
Suppose 58*k = -26764 + 213872. What is the tens digit of k?
2
What is the hundreds digit of 26/442 - (-240548)/34?
0
Suppose 0 = -4*c + 5*o + 1040 - 159, -o + 218 = c. Suppose 2*h - 5*h + c = 0. Suppose 0 = -s - 2*s + m + 195, 3*m = s - h. What is the units digit of s?
4
Suppose -58*o = -65*o + 21. Suppose 3*t + 72 - 2708 = a, -7914 = -9*t - o*a. What is the units digit of t?
9
Suppose -4437 = -3*s + 5604. Suppose -c + 5*a + 824 = 0, -16*c + 12*c + s = -3*a. What is the units digit of c?
9
Let p be (-2)/15 + 7024/30. Let x = p - 147. What is the tens digit of x?
8
What is the hundreds digit of 140/60 + 160216/24?
6
Let w(a) = 17*a - 7. Let x be (-6*1/1)/(4 - 6). Suppose -13 = -x*y - 2*y + 3*m, -3*m + 12 = 0. What is the tens digit of w(y)?
7
Let o(t) = -50*t + 197. Let u(l) = 52*l - 198. Let q(g) = 4*o(g) + 5*u(g). What is the units digit of q(18)?
8
What is the tens digit of (48/(-14))/((2/9968)/(11/(-22)))?
4
Let o(w) = -10*w - 179. Let d be o(-35). Let c = 261 + d. What is the hundreds digit of c?
4
Suppose -n + 5 = 0, 2*b - 3*n = -0*b - 13. Suppose -3*r - b + 13 = 0, -r = -5*z + 1631. What is the hundreds digit of z?
3
Let k = 37210 - 18492. What is the tens digit of k/13 + (-7)/((-1456)/32)?
4
Let l(i) = 78*i**2 - i + 302. What is the units digit of l(-15)?
7
Suppose 4*a = -14 + 46. Let w be (-3 + 4)/(4/a) + 86. Let x = 194 - w. What is the hundreds digit of x?
1
Suppose 4*n = -2*b + 218268, -28972 = n - 3*b - 83560. What is the hundreds digit of n?
5
Let m(x) be the second derivative of -x**5/20 + 5*x**4/12 + 5*x**3/3 - 11*x**2/2 - 2*x + 11. What is the units digit of m(6)?
3
Let f(j) = 32*j - 1. Let t be f(-1). Let v = 40 + t. Suppose -v*r + 705 = -2*r. What is the units digit of r?
1
Let r(j) = 72*j**2 - 15*j - 32. Let g = -405 + 402. What is the hundreds digit of r(g)?
6
What is the units digit of -5 + 1644/324 + 6466380/162 + -6?
0
Let v be (-3)/((-1)/4*-6). Let k(r) = 32*r - 7. Let b(s) = s. Let q(i) = b(i) - k(i). What is the tens digit of q(v)?
6
Let a be 0/((30/20)/(6/(-8))). Suppose -j - 71 = -76. Suppose a = -j*p + p + 668. What is the tens digit of p?
6
Suppose -2*t - 71979 = -4*x + 36495, -5*t = -x + 27105. What is the units digit of x?
0
Let d(p) = -3*p**2 - 6*p + 4. Let u be d(-5). Suppose 4*r + 447 = 8*r - 5*q, -5*r + 4*q + 570 = 0. Let s = u + r. What is the tens digit of s?
7
Suppose 4*l + 5*b + 8 = 0, -2*l - l + b = 6. Let p be 1*l/((-2)/(-3)). Let h = 93 - p. What is the tens digit of h?
9
Let d(y) = -11*y**3 + 2*y**2 - 14*y + 12. What is the hundreds digit of d(-8)?
8
Let p = 1273 + -478. What is the units digit of ((-3)/((-30)/8))/(6/p)?
6
Suppose 4*y - 145 = 3*n, -3*n - 111 = -3*y - 0*n. Let x(p) = 0*p**2 + 21 + y*p + 5*p**2 - 43*p. What is the tens digit of x(5)?
0
Let c = 151 - 151. What is the thousands digit of c + 2 + (6 - -1600)?
1
Let r = 12 + 12. Let b = 2431 + -2440. Let k = b + r. What is the units digit of k?
5
Suppose 20*p = 21*p + 15. Let s(y) = y**2 + 12*y - 34. Let w be s(p). Suppose -w*h = -h - 50. What is the units digit of h?
5
Let z(l) = 8*l**3 + 4*l - 2 + l**2 + 28*l**2 - 6*l**3 - 17. What is the tens digit of z(-14)?
2
Let c = -1015 - -1478. Suppose z + 4*u - 219 = 0, -4*z - c + 1313 = 3*u. What is the tens digit of z?
1
What is the tens digit of (-1130)/6*-15 - -2 - 3?
2
Let o(u) = u - 20. Let r be o(15). Let l(d) = -63*d - 13. What is the units digit of l(r)?
2
Suppose -2*t + 2*h = -h - 36, -3*t - 2*h + 67 = 0. Suppose -1880 = 11*a - t*a. What is the hundreds digit of a?
1
What is the hundreds digit of ((-18877940)/161)/20*(-14)/2?
0
Suppose -5*a + 5*j - 81 = -16, -4*a + j - 52 = 0. Let x(d) = -7*d**3 - 14*d**2 - 10*d + 1. Let w be x(-2). Let t = w - a. What is the units digit of t?
4
Let s be (-6)/6 + 1 - -13. Suppose -12*z = -s*z + 143. What is the hundreds digit of z?
1
Suppose -213 = -b + 4*u, -23 = b + 5*u - 191. Let t = b + 98. What is the units digit of t?
1
Suppose 2*q + 40571 = 5*r - 22305, 12583 = r - 3*q. What is the units digit of r?
4
Let b(t) = -7532*t - 12653. What is the units digit of b(-10)?
7
Let z(w) = 2*w**2 + 4*w - 39. Let t be z(-9). Let m = 449 - t. What is the tens digit of m?
6
What is the hundreds digit of 1 - (-12692 + (-4)/((-2)/12*4))?
6
Let j be 6/15 + 5/((-50)/5144). Let d = j - -288. What is the hundreds digit of (-4)/8*d - 0?
1
Let l be (319/33)/(3/342). Suppose -5*n + 1473 = -3*d - 1298, -2*n - 2*d = -l. What is the tens digit of n?
5
Suppose 0 = 7*d + d - 1200. Suppose -z + 150 + d = 0. Suppose 4*t + 2*t = z. What is the units digit of t?
0
Let d(o) = o**2 + 13*o + 14. Let y be d(-12). Suppose -y*l + 6*l - 52 = 0. What is the units digit of l/(-3)*(3 + -12)?
9
Let o(j) = -j**3 + 5*j**2 - 2*j - 4. Let g be o(4). Suppose 6*s - 1920 = g*s - 5*b, 2*s - 1928 = -3*b. What is the tens digit of s?
7
Let n(d) = -112*d - 110. Let t = 315 + -321. What is the units digit of n(t)?
2
Let q(w) = 9*w - 102. Let a = 79 - 63. What is the units digit of q(a)?
2
Let z = -811 - -14861. What is the ten thousands digit of z?
1
Suppose -4*r + 5*i - 31145 = -9*r, 2*i + 2 = 0. What is the thousands digit of r?
6
Let f = 281 - 278. Suppose q - 3*w - 455 = -6*w, 0 = f*q + w - 1405. What is the tens digit of q?
7
Suppose -22*d - 3 - 151 = 0. What is the units digit of 6/(-42)*6*d?
6
Suppose 11*t = 35 - 2. Suppose 2*u - 908 = -19*j + 21*j, j = t*u - 1354. What is the hundreds digit of u?
4
Let k = -10 + 62. Let p = 59 - k. Let u = p - -14. What is the tens digit of u?
2
Let r be ((-2)/8)/(6/(-48)). Let u = 332 - 298. Suppose 0 = -5*n + 2*j + 424, -r*n + 126 = -4*j - u. What is the units digit of n?
6
What is the ten thousands digit of 399222/20 + (-15)/75*(-8)/(-16)?
1
Suppose 2*j + 0*j - 4 = 0. Let o(s) = 16*s**2 - 20*s - 4*s**2 + s**3 - 5 - j*s**3. What is the units digit of o(9)?
8
Suppose -5*d - 136648 = -5*d - 19*d. What is the units digit of d?
2
Let x(d) = -10 - 3*d**2 + 9 + 2*d**2 + 75 - 4*d. What is the tens digit of x(6)?
1
Suppose -3*x + 4*m = -3773, 2*m + 1965 + 1816 = 3*x. What is the thousands digit of x?
1
Let x(p) = 2*p**3 - 47*p**2 - 26*p + 67. Let z be x(24). Suppose z*i = 1208 + 3162. What is the units digit of i?
0
Suppose 1587*w - 1580*w = 55895. Suppose -2*z = 2*x - 3182, x = -5*z + 2*x + w. What is the hundreds digit of z?
5
Suppose 245 = 14*a - 119. Let q(x) = -5*x + x**3 - 31 - 41*x**2 + a*x**2 + 10*x. What is the tens digit of q(15)?
4
Suppose t = -s + 517, 3*s + t - 1602 = -47. Suppose 7*p - s - 881 = 0. What is the units digit of p?
0
Let v = 1440 + -355. What is the tens digit of 20/(-7)*v/(-10)?
1
Let z(a) = 2*a**3 + 9*a**2 + 9*a + 3. Let u be z(-5). Let y = -65 - u. What is the tens digit of (-31*9/12)/(y/(-8))?
9
Let h be ((-28)/((-6)/(-3)*-1))/1. Let r(f) = 2*f**3 - 26*f**2 - 28*f + 8. Let c be r(h). Suppose -13*t = -c*t - 350. What is the units digit of t?
0
What is the hundreds digit of -4 + 1 - 222924/(-52)?
2
Let h(b) = b - 2. Let t(f) = -f + 1. Let x(v) = -5*h(v) - 4*t(v). Let s be x(4). Suppose l - 6 = -l, s*y = l + 217. What is the hundreds digit of y?
1
Let y = 44 + -42. Let h be 0*(-3)/6*y/(-2). Let p(c) = -c**3 + c + 74. What is the tens digit of p(h)?
7
Suppo | {
"pile_set_name": "DM Mathematics"
} |
11)/((-44)/(-40)). List the prime factors of (95/(-3))/(-5)*b.
3, 19
Suppose -d = -u - 602, 5*d + 15*u - 17*u = 3010. What are the prime factors of d?
2, 7, 43
Let m = 173 + -90. Let s = 154 - m. List the prime factors of s.
71
Let o be (3 - 13)/(4/(-2)). Suppose -o = 2*a - 29. What are the prime factors of (a/(-8))/((-6)/88)?
2, 11
Let y be 0/((-2)/((-3)/(-3))). Suppose -4*p + 6*p - 4 = y. Suppose 6*s + 72 = p*l + 2*s, 34 = l - s. What are the prime factors of l?
2
Let c(t) = -t + 31. Let u be c(21). Suppose -554 - 796 = -u*f. List the prime factors of f.
3, 5
Let r = -171 + 310. What are the prime factors of r?
139
Let l = -466 + 1253. Suppose -3*f = -5*i + l, 11*i + 5*f - 795 = 6*i. What are the prime factors of i?
2, 79
Let t = 86 - -616. Suppose -14*g + t = -5*g. What are the prime factors of g?
2, 3, 13
Let q = -62 - -69. Suppose 10 = 4*o - 2*a + q*a, 0 = o - 2*a - 9. What are the prime factors of o?
5
Suppose -2*k - 1 + 3 = 2*n, -3*k + 3 = -4*n. Suppose 0*t - 4*t + 136 = -2*m, -t - 4*m + 43 = n. List the prime factors of t.
5, 7
Suppose 3*o = -o + 92. Suppose -4 = 21*y - o*y. Suppose 0 = -2*r + y, w + 65 = 3*w + 3*r. What are the prime factors of w?
31
Let b = 9 + -7. Suppose 0 = b*s - 7*s. Suppose 3*p = 3*g - 57, 4*g - p - 73 = -s*p. List the prime factors of g.
2, 3
Let p(n) = n**3 - 36*n**2 + 70*n + 45. List the prime factors of p(34).
113
Let g(x) = 35*x + 78. List the prime factors of g(7).
17, 19
Let t be (4/(-16))/(-2*2/32). Let r(k) = 63*k - 11. List the prime factors of r(t).
5, 23
Let p(r) = -r**2 - 11*r + 15. Let h(y) = -y + 11. Let t be h(20). List the prime factors of p(t).
3, 11
Suppose 4*r + m + 1176 = 6*r, -3*r + 1763 = -m. What are the prime factors of r?
587
Suppose 28 = 8*a + 4. Suppose 163 = a*q + 40. What are the prime factors of q?
41
Let n(f) = -f**2 + 19*f + 20. Let q be n(12). Let h = q + -47. List the prime factors of h.
3, 19
Suppose 0 = k - 5*b + 23, 4*k - k + 4*b - 26 = 0. Suppose 0 = o - k - 56. What are the prime factors of o?
2, 29
Let v be -2*((-12)/(-8) - 2). Let o = 76 + v. List the prime factors of o.
7, 11
Let k(b) = -82*b - 25. List the prime factors of k(-6).
467
Let l be ((-1)/2)/(2/(-32)). Suppose 0 = -l*b + 3*b + 40. What are the prime factors of b?
2
Let l(f) = 4*f**2 + 107*f - 17. What are the prime factors of l(-33)?
2, 101
Let n(p) = 6*p + 9. Let v be n(7). Suppose 0 = -7*l + 376 + v. Suppose 5*d - 451 = -l. List the prime factors of d.
2, 3, 13
Suppose 5*m + 31 = 4*g + 1, 3*g = 5*m + 25. Suppose 14 = 2*s - g*v + v, 0 = -s + 4*v + 5. What are the prime factors of s?
3
Suppose 0 = 3*q + 5*m + 5, q + 4*m + 4 = -0*q. Suppose 3*v - 180 = 4*j, q = -4*v + 3*j - 5*j + 240. List the prime factors of v.
2, 3, 5
Suppose -4*p + 4*c + 2143 = -8397, 4 = -2*c. What are the prime factors of p?
2633
Let j(h) = 6*h**2 - 7*h - 8. Let g be j(6). Suppose 0 = 5*l - g - 164. What are the prime factors of l?
2, 3, 11
Let r(y) be the second derivative of y**4/12 - y**3/2 - 11*y**2/2 + 2*y. What are the prime factors of r(6)?
7
Let s(a) = 33*a - 114. List the prime factors of s(18).
2, 3, 5
Let p be (-3)/(-9)*(1 - 1). Suppose 966 = -p*u + 4*u - j, 0 = -u - j + 239. List the prime factors of u.
241
Let m(q) = 16*q**2 - 3*q - 204. What are the prime factors of m(-12)?
2, 3, 89
Suppose -16905 = -6*f - 2811. What are the prime factors of f?
3, 29
Suppose 4*n + 938 - 4622 = -5*s, 5*s - 3679 = n. What are the prime factors of s?
2, 23
Suppose -1006 = -10*f + 934. What are the prime factors of f?
2, 97
Let o be (44/(-10))/((-4)/(-20)). Let m be (-5)/25 + o/(-10). List the prime factors of m + 0 + 2 - -3.
7
Let g be 50/13 - 14/(-91). Suppose 478 = 4*z - 5*x, -476 = -5*z + z + g*x. List the prime factors of 1*(z/3 + 0).
3, 13
Suppose -q + 156 = -3*s, 8*q = 4*q - 2*s + 666. What are the prime factors of q?
3, 5, 11
Suppose 45582 = 26*a + 4632. What are the prime factors of a?
3, 5, 7
Suppose 2*c - 3*c = 2. Let o be c/(-7) + (-45)/35. What are the prime factors of (-3)/o*(-1 - -9)?
2, 3
Suppose 5*c - 2443 = 392. Suppose 24*a = 17*a + c. What are the prime factors of a?
3
Let o = 0 - -4. Let p(z) = z**3 + z - 3. Let t be p(4). Suppose -o*i + t = i. What are the prime factors of i?
13
Let c = 453 + -316. List the prime factors of c.
137
What are the prime factors of 783*(6 + -7)*-1?
3, 29
Suppose 5 = d + 4. Suppose -d - 1 = f. List the prime factors of 156/9 + f/(-3).
2, 3
Let w(o) = o**2 + 4*o - 6. Let d be w(-7). Let v be 4/10 + (-6)/d. Suppose v*p - 3*p + 57 = 0. What are the prime factors of p?
19
Suppose -2*x - 33 + 667 = -4*s, s + 625 = 2*x. List the prime factors of x.
311
Suppose -3*j + 836 = 3*w - 8*j, -w + 292 = j. Suppose 0 = 6*n - 115 - w. What are the prime factors of n?
67
Suppose 3*l - 15351 = 3*u, 3818 = 3*l + 3*u - 11533. List the prime factors of l.
7, 17, 43
Let j = 9947 - 5620. List the prime factors of j.
4327
Suppose -3*a + 1987 - 165 = -2*n, 0 = a + 3*n - 622. List the prime factors of a.
2, 5, 61
Suppose 2 - 8 = 6*g. What are the prime factors of (g + 2)*(-6 + 90)?
2, 3, 7
Let h(y) = 5*y**2 - 7*y + 4. Let n(f) = -7*f - 9. Let w be n(-2). What are the prime factors of h(w)?
2, 47
Let r = 592 - 398. What are the prime factors of r?
2, 97
Suppose 5*q - 3*q - 4 = 0. Suppose 0 = 3*z + q - 17. Suppose z*j + 2*s = 245, 2*s + 147 = 3*j + 3*s. List the prime factors of j.
7
Let k be (-435)/39 + 4/26. Let b = k + 10. What are the prime factors of b*155/(-10)*2?
31
Let c(z) = -8 - 3*z + 13 + 0 + 10. What are the prime factors of c(-2)?
3, 7
Suppose -9456 = -5*i - 3*u + 1492, -4*i = 4*u - 8760. What are the prime factors of i?
11, 199
Let k = 43 - 40. Suppose -3*l + 42 = k*l. List the prime factors of l.
7
Suppose 3*k + 5*z = 34 + 129, 0 = k + 5*z - 41. Suppose -59*r - k = -60*r. List the prime factors of r.
61
Suppose 6 = -4*n + 7*n. Let q(b) = -6*b**3 + 2*b**2 - b - 1. Let a be q(-2). Suppose a = 4*i + 5*j, -5*i - n*j = -i - 54. What are the prime factors of i?
13
Suppose k + 6 = 4*k. Suppose -g + 258 = k*g. List the prime factors of g.
2, 43
Let i be 3952/64 + 6/(-8). Let c = 105 - i. What are the prime factors of c?
2, 11
Let z = -3 + -3. Let l(b) = -2*b - 6. Let u be l(z). Suppose -3*c - u = -18. What are the prime factors of c?
2
Suppose -4 = -6*r + 8. Let w(p) = 8*p**3 + p**2 + 2*p - 1. What are the prime factors of w(r)?
71
Suppose 0 = -0*p - 2*p + 24. Suppose -8*r = -p*r. Suppose -5*t - h + 211 = r, -2*t + 2*h = 2*t - 166. List the prime factors of t.
2, 3, 7
Suppose 0 = 3*j - 6*j. Suppose -3*s + 2*h + 330 = j, -6*s = -s - h - 543. Suppose 0 = v + 2*v - s. List the prime factors of v.
2, 3
Let t = 1124 + -452. What are the prime factors of t?
2, 3, 7
Suppose 0 = 5*r + r - 24. Suppose -r*g = -l + 70, -2*g = -4 + 6. What are the prime factors of l?
2, 3, 11
Suppose 0 = 56*u - 58*u + 20. What are the prime factors of (-15)/u + (-585)/(-2)?
3, 97
Suppose 8285 = 2*p - 5*s, 5*p - 2304 = 2*s + 18356. List the prime factors of p.
2, 5, 7, 59
Let g be (3/(-9))/(3/(-18)). Let h be (16/(-2))/g + 46. Suppose -3*z = 4*c - 131, -4*c = -z + 23 + h. List the prime factors of z.
7
Let v(h) = -h**3 - 5*h**2 + 6*h - 7. Let i be v(-8). Let g = i + -62. What are the prime factors of 140/g + 2/15?
2
Let b be 9/(-27)*(-45 - 0). Let c be (-1632)/(-10) - (-12)/b. Suppose c + 44 = 4*p. List the prime factors of p.
2, 13
Suppose -13*o + 3*a = -15*o + 2714, -a + 2710 = 2*o. What are the prime factors of o?
2, 677
What are the prime factors of (-7082920)/(-1352) + (-2)/(-13)?
13, 31
Let a = -15 + 22. Let n(t) = -t**3 + 7*t**2 + t. What are the prime factors of n(a)?
7
Let t = -21 - -23. Suppose -2*l + 153 = r, -7*l + t*l - 638 = -4*r. Let w = r + -106. List the prime factors of w.
3, 17
List the prime factors of 2 + (18/8)/((-66)/(-26048)).
2, 5, 89
Suppose 9 = -8*p - 7. Let x(d) = -30*d - 3. List the prime factors of x(p).
3, 19
Let s(t) = t**3 - 7*t**2 - 45*t + 19. List the prime factors of s(13).
2, 7
Suppose -28655 = -355*o + 344*o. What are the prime factors of o?
5, 521
Let q be (-4 + 11)/((-4)/248). Let z be q/(-4) + 8/(-16). What are the prime factors of -3*9/(z/(-80))?
2, 5
Suppose 2*h + 145 = 3*q, -q + 21 + 29 = h. List the prime factors of q.
7
Let l = 9 - 10. Let m be (10/15)/(l/(-51)). Let b = 48 - m. What are the prim | {
"pile_set_name": "DM Mathematics"
} |
001
Let b = -974 + 973.999999834. Round b to seven dps.
-0.0000002
Let g = -3 - 1. Let p be g*-2*(-3)/(-6). Let m be (p - 2 - 6800003) + 1. Round m to the nearest 1000000.
-7000000
Let v = -4.3909 - -0.0109. Round v to the nearest integer.
-4
Suppose -17850 = -2*h + 5*i, 0 = -9*h + 4*h + 4*i + 44608. Suppose -g + 5*g = -h. What is g rounded to the nearest 100?
-2200
Let h = -25.62 - -49.43. Round h to zero decimal places.
24
Let d be (13 - 13)*(0 - -1). Suppose d = -c - 2*y, -7*y = c - 3*y. Suppose -5*t + 1650000 = -c*t. What is t rounded to the nearest 100000?
300000
Suppose 41*a - 15*a - 3101800 = 0. Round a to the nearest 10000.
120000
Let l = -16.968 - -17. Let u = 30.968 + l. Let f = -24.9 + u. Round f to the nearest integer.
6
Let q = 5.07 + 127.93. Let k = 6650.037 + -6783.1. Let h = q + k. Round h to 2 dps.
-0.06
Let q be (12/4)/(9/(-6)). Let i = q + -10. Let w be i/(3/6450*3). Round w to the nearest one thousand.
-9000
Let q be (-17520)/(-4) + (1 - 1). Let u = q - -48620. What is u rounded to the nearest ten thousand?
50000
Let c(n) = 14220*n**2 - 11*n + 8. Suppose 40 = 2*u + 3*u. Let h be c(u). Round h to the nearest one hundred thousand.
900000
Suppose -2*d = 5*z - 15 - 20, -2*d + 26 = 2*z. Let x be (74955/225 + 2/d)*1119. What is x rounded to the nearest 10000?
370000
Let a = 6.405 - 4.404. Let m = -2 + a. Round m to three decimal places.
0.001
Let c = 438 + -437.41. What is c rounded to 1 decimal place?
0.6
Let q = -374120 - -232120. Round q to the nearest one hundred thousand.
-100000
Let h = -35.3 + -1.7. Let i = -855221 + 855183.9993. Let c = h - i. What is c rounded to three decimal places?
0.001
Let a = 0.366447 - 0.3646. Round a to four dps.
0.0018
Let x be -2 + (-12894020)/(-15) - 6/(-9). Round x to the nearest ten thousand.
860000
Let l = -0.07378725 + 0.0738. Round l to seven decimal places.
0.0000128
Let t = 41 - 14. Let u = t - 27.000031. Round u to 5 dps.
-0.00003
Let f = 114.01 - -15.79. Let p = f - 130.499. Let b = 0.61 + p. What is b rounded to two decimal places?
-0.09
Let r(y) = 258*y**2 - 22*y - 60. Let w be r(14). What is w rounded to the nearest 10000?
50000
Let u = -200545.274 + 200563.2739994. Let w = u - 18. What is w rounded to seven dps?
-0.0000006
Let q = 0.06784 + -0.071. Round q to four dps.
-0.0032
Let k = 24 - 7. Let x = k - 16.78. Let q = 0.22000022 - x. What is q rounded to seven decimal places?
0.0000002
Suppose -2*s = 3 - 13. Suppose -s*r + 37035 = -1965. Round r to the nearest one thousand.
8000
Let u = -856.71 + 848. Round u to 1 decimal place.
-8.7
Let f = 533560824782.9629979 + -533560796120. Let j = f - 28663. Let n = j - -0.037. Round n to 6 dps.
-0.000002
Let w = 0.5 - 0.3. Let g = 22.5 - 13.8. Let j = w + g. Round j to 0 decimal places.
9
Let q be (23890/3)/(-5)*(-3090)/4. Suppose 6*s - q = -3570335. What is s rounded to the nearest 100000?
-400000
Let w = 6.86 - 5.1. Let p = -3.18 + w. Let l = p + 1.420138. Round l to 5 dps.
0.00014
Let o = 54.072 + -45.79. Let k = o - 0.082. What is k rounded to the nearest integer?
8
Let n = -835409 - 2592591. What is n rounded to the nearest one million?
-3000000
Let z = -1.32896 - -1.338. What is z rounded to 4 decimal places?
0.009
Suppose -84812 = -915*c + 901*c. What is c rounded to the nearest 100?
6100
Let c be (-6)/(-12)*0/(-2) - -8742. Suppose -2758 - c = -w. Round w to the nearest 1000.
12000
Let g = 119 + -119.1115. Let c = g + 0.1768. Let a = c + -0.062. Round a to three decimal places.
0.003
Let h = 254 + -254.026. Round h to 3 decimal places.
-0.026
Let x = -0.006 - 0.00423. Round x to 4 dps.
-0.0102
Let w = 590.212 - 6.112. Round w to the nearest 10.
580
Let w = -68 + 69.8. Let a = 1.79999965 - w. Round a to 7 dps.
-0.0000004
Let o = -15.060005922 + 15.06. What is o rounded to 7 dps?
-0.0000059
Suppose -36*b = -39*b + 855. Suppose s = -n + b, s + 3*n = 127 + 152. Round s to the nearest 100.
300
Let c = -5008352.2399833 + 5008353. Let a = c + -0.76. Round a to 6 decimal places.
0.000017
Let s = 52 + -116. Let m = -64.084 - s. Round m to two dps.
-0.08
Let c = -0.59 - -0.01. Let z = -0.57999982 - c. What is z rounded to seven decimal places?
0.0000002
Let r = 22 + -21.33. Let h = -3.57 + r. Let c = 2.805 + h. Round c to 2 dps.
-0.1
Let g = -27.9999743 + 28. What is g rounded to six decimal places?
0.000026
Let t = -15 - 80. Let c = t + 64. Let p = c - -66. Round p to the nearest 10.
40
Let j be (-4368838)/(-5) + (-3)/5. Let h = -2473767 + j. Round h to the nearest one million.
-2000000
Let w = -56311 + 80786. Let k = w + -24491.969. Let o = 17 + k. What is o rounded to two dps?
0.03
Let h(s) = -2*s - 3. Let f be h(-3). Suppose -4*y - 14 = -2*r, f*r + 2*y - 4*y - 13 = 0. Let i be (-1)/(r/576012) + 4. What is i rounded to the nearest 10000?
-190000
Let u = -612.998 + 625.78293. Let p = u - 12.885. Let c = p + 0.1. Round c to 5 dps.
-0.00007
Suppose 352000 = -97*p + 92*p. What is p rounded to the nearest ten thousand?
-70000
Let u(q) be the first derivative of 67348*q**3/3 + 3*q**2 - 10*q + 4. Let k be u(-7). Round k to the nearest 1000000.
3000000
Let m be (1/(-2))/(4/(-8)). Suppose 3*x - 24571059 = -2*g, 2*g - m = 5. Suppose 3*b = 11609649 + x. What is b rounded to the nearest one million?
7000000
Let d = 26360 - 38076. Let h = d + 11716.9634. Let t = -0.98 + h. Round t to three dps.
-0.017
Let m = 1.26609 + -1.302. What is m rounded to 3 dps?
-0.036
Let y = 4.986 - -0.014. Let t = -12.6 + y. What is t rounded to zero dps?
-8
Let i = -2.6399539 + 2.64. What is i rounded to 6 decimal places?
0.000046
Let g = -176404.387 + 176674. Let c = g + -0.613. Let y = -256.7 + c. Round y to zero decimal places.
12
Let f be (-4)/6 - (-84)/18. Suppose -f*d - 15 = -9*d. Let z be 2/(1 - d) - 6099. Round z to the nearest 1000.
-6000
Let r = -0.0422 - -13.2022. Let f = -13 + r. Let m = f - 0.15999958. What is m rounded to seven decimal places?
0.0000004
Let v = -51.02 - -47. What is v rounded to zero decimal places?
-4
Let k = 5127.5947 - -420.3033. Let l = k + -5540. Let n = -8 + l. What is n rounded to two decimal places?
-0.1
Let t = 72165318266 + -72165752554.810003. Let s = 434289 + t. Let c = s - 0.19. Round c to six decimal places.
-0.000003
Let f = 6.6 - 3.2. Let i = f + 11.6. Let l = i + -14.99975. Round l to 4 decimal places.
0.0003
Let f = 944.00000183 + -944. What is f rounded to 7 decimal places?
0.0000018
Let w = 1.071 - 1.07102438. What is w rounded to six dps?
-0.000024
Let g = 0.042 + 0.758. Let j = g + -0.65. What is j rounded to one decimal place?
0.2
Let t = 2384 + -2383.97662. Round t to 3 dps.
0.023
Suppose 5*q + 4941010 = -3*p, 3*p - 2*q + 6963611 = 2022615. What is p rounded to the nearest 100000?
-1600000
Let h = -4412.23 + 4433. Let b = -21 + h. Round b to one dp.
-0.2
Suppose t = -3*l + 18606, 4*l - 10554 = -t + 8054. Round t to the nearest one thousand.
19000
Let q = -85.79 - -86.3417. What is q rounded to 2 dps?
0.55
Let f = -2.53 - -2.3. Let w = -0.2278 - f. Let n = w - 0. What is n rounded to three dps?
0.002
Suppose -281990 = -2*p - 5*n, 18*n = 20*n + 4. Round p to the nearest 10000.
140000
Let s(r) = 35*r + 41410. Let o be s(0). Round o to the nearest 10000.
40000
Suppose 3*u + u - 1280 = -n, -n - u = -1295. Let i be (29992 + 8)*1/(3/n). What is i rounded to the nearest 1000000?
13000000
Let q = -0.25060804 + 152.24989804. Let z = 62 + -214. Let o = z + q. What is o rounded to four decimal places?
-0.0007
Let p = 1567 + -1566.999994765. Round p to 6 decimal places.
0.000005
Suppose 304 = 5*l + 284, 4*r - 2*l - 8 = 0. Let k(a) = -435373*a - 1 + 5 + 75372*a. Let i be k(r). What is i rounded to the nearest 100000?
-1400000
Suppose 0*i + 10 = 5*i. Let w be (1432/(-16))/(i/12). Let n = w - -1537. Round n to the nearest 100.
1000
Let t = -0.05 + 0.02. Let r = t - 0.17. Let l = -0.20012 - r. What is l rounded to four decimal places?
-0.0001
Let x = 1906.0873 - 1906. Let w = -0.081 + x. Round w to two dps.
0.01
Let f = -17371.3489 + 2.3489. Let i = -17371.9972 - f. Let b = i - -3. What is b rounded to 3 decimal places?
0.003
Let m = 0.423994658 + -5.523994188. Let t = -9.9 + 15. Let r = t + m. What is r rounded to 7 decimal places?
0.0000005
Let d = -840 - -600. Let r be (8/2 - d)*10/(-4). What is r rounded to the nearest 1000?
- | {
"pile_set_name": "DM Mathematics"
} |
101*s + 252. Suppose -60*c + 138 = -s*c. Sort -5, c, -3, -26 in descending order.
c, -3, -5, -26
Let w be (0 + -42 - 4) + 4. Let d be 1*-4*w/(-56). Let a be (-1824)/(-608) - 5*(1 + 0). Sort -4, 6, a, d.
-4, d, a, 6
Let t be (2/21)/((-30)/135). Let m = -44 + 40.04. Let c = m + -0.04. Sort c, 1/2, t, -3 in decreasing order.
1/2, t, -3, c
Let q = 147 - 65. Suppose -8*a = q + 14. Sort 1, a, -5.
a, -5, 1
Suppose -4914 = d - 14*d. Let l = -342 + d. Put -4, -2, l in ascending order.
-4, -2, l
Suppose -3*p + k = -6, 50*k - 129 = 171. Sort -2, -1, p, -202, 0 in descending order.
p, 0, -1, -2, -202
Suppose -3*y - 281 = 4*j + 2, 0 = 3*j - y + 222. Put 5, 0, 4, j, 1 in decreasing order.
5, 4, 1, 0, j
Let p(t) = -5*t - 4. Let a be p(-2). Let c be (2 + a)/(2/1). Suppose -3*x - 2*j = 16, 4*x - 2*j = -c*j - 20. Put -2, x, -1, 5 in descending order.
5, -1, -2, x
Let z be 1 - (-21 + (19 - 10)). Sort -1, -49, -2, z.
-49, -2, -1, z
Suppose -8*v = 794 - 74. Let m = 88 + v. Let k(l) = -l**3 - 3*l**2 - 2*l - 3. Let y be k(-3). Sort y, -3, m.
-3, m, y
Suppose -15*p = 13273 - 2668. Let g = p + 709. Sort -1/2, g, 1 in ascending order.
-1/2, 1, g
Let n = -150 - -146. Let b be 0 - 1*(n + -1). Put -4, b, -10 in increasing order.
-10, -4, b
Let o(t) = t**3 + 11*t**2 + 23*t. Let d be o(-8). Let g = -0.75 - -0.55. Sort d, -5, g, 2/11 in descending order.
d, 2/11, g, -5
Let y = 5.6 + -2. Let m = 0.6 - y. Let x be 4 - (0 + 256/56). Sort x, m, -2, 0.
m, -2, x, 0
Let o = -7886 + 7885. Sort 24, 3, -3, -5, o in ascending order.
-5, -3, o, 3, 24
Let w be -2 - (1 + -5) - 12. Suppose -666*i + 65 = -669*i + 5*b, 4*i - b = -30. Sort w, i, 0.
w, i, 0
Let m = 34/3 - 11. Let v be 2/8*(-88)/77. Put v, -1, m in decreasing order.
m, v, -1
Let c = 1115/7 - 159. Let w = -0.117 + 3.047. Let a = w - 2.9. Sort a, c, 0 in descending order.
c, a, 0
Let l = -372 - -4824/13. Put -3, 3, l, 0 in descending order.
3, 0, l, -3
Let p = -2 - -6. Suppose -352*q + 2140*q + 12366 - 1638 = 0. Sort -2, -1, p, q.
q, -2, -1, p
Let w = -0.3 + 0.4. Let p = -163.89 + 156.89. Put -2, w, p in decreasing order.
w, -2, p
Let q = 35765/71538 + 2/35769. Put 64, q, -15 in ascending order.
-15, q, 64
Let v = 427 + -297. Let w = v + -129.6. Suppose -4 = a - 8. Sort 0.1, a, w, 1.2 in ascending order.
0.1, w, 1.2, a
Let o be (-38 - (-1554)/42)*-2*(-10)/(-4). Sort -17, -200, o in decreasing order.
o, -17, -200
Let f = -9875 + 9874. Let s = 0.01 - -0.25. Put f, 0, s in decreasing order.
s, 0, f
Suppose 403*d = 398*d + 120. Suppose -228*n = -236*n - d. Sort -2, n, 15, 1 in descending order.
15, 1, -2, n
Suppose -5*t = c - 15, -t - 6 - 7 = -3*c. Suppose 10*r - 8*r - 6 = -2*q, -2*q + 12 = c*r. Sort 43, 1, r in increasing order.
1, r, 43
Suppose 687 + 106 = -61*j. Put 5, -4, j, 0 in decreasing order.
5, 0, -4, j
Suppose 95*r = -112*r + 743 + 85. Put 1, -6, r, -125 in decreasing order.
r, 1, -6, -125
Suppose -4*z - v - 22 = -5*z, -2*z = 5*v - 23. Sort z, 0, 20 in descending order.
20, z, 0
Suppose 2*c = y - 6 + 10, y + 7 = 3*c. Suppose 0 = 4*x + 5*p + 20, 6*p - 3*p = -5*x - 25. Sort -2, 8, x, c in decreasing order.
8, c, -2, x
Let y(m) = -12*m - 2. Let p be y(-2). Suppose -d + 11 = 4*j, d = 3*j - d - p. Sort 64, j, 2 in ascending order.
2, j, 64
Let z = -3979 + 3981. Sort -2, -4, 0, 3, z in descending order.
3, z, 0, -2, -4
Suppose 0 = -147*k - 149*k - 2054 - 1318402. Sort 5, k, 0.
k, 0, 5
Suppose 7*r - 2*r = 5. Let i(l) = 153 - 2*l**2 + 153 - 9*l - 312. Let c be i(-3). Put r, c, 2 in decreasing order.
c, 2, r
Let b(s) = s**2 + 11*s - 1. Let z be b(-7). Let d = -71 - z. Let u be (-6 + 4)*(d/(-45) + -1). Sort 2, 4, u, -2 in increasing order.
-2, u, 2, 4
Let v be (4 + (-110)/4)*(26 - 28). Sort -7, -4, v.
-7, -4, v
Suppose 4*j + 5*m = 15, 0 = -4*m + 37 - 9. Suppose 1 - 21 = -4*z. Sort z, 1, -2, j.
j, -2, 1, z
Let z = 1/51146 - 36722837/460314. Let h = 80 + z. Let p = -3/88 - 29/440. Sort -5, h, p.
-5, p, h
Let j = 187.75 + -1.75. Let s = -185 + j. Sort -2/7, s, 0.6.
-2/7, 0.6, s
Let g = -7629 + 7624. Put 5, 57, g, 2, 3 in ascending order.
g, 2, 3, 5, 57
Let f = 162 - -281. Let s = 442 - f. Let q(n) = n**2 + 10*n + 11. Let m be q(-8). Put s, -3, m, 2 in descending order.
2, s, -3, m
Let w(s) = 3*s**2 - 46*s + 161. Let l be w(5). Put -0.3, -3, 0.108, l in decreasing order.
l, 0.108, -0.3, -3
Let g = -5816 - -5814. Put -3, g, 0.41 in increasing order.
-3, g, 0.41
Let o = -8 + 10. Suppose 0*v - o*u = -4*v + 10, -v - 2*u = 0. Suppose 0 = x - 1, -v*a - x + 13 = 2*x. Put -4, a, -1 in descending order.
a, -1, -4
Let z = 0.4 - -4.6. Let h be 22/6 + 8/(-12). Let x = 13/535 + -1109/1605. Sort x, z, h in ascending order.
x, h, z
Let b be 5/((-7)/2 - -6). Let u(i) = -3*i + 3. Let n be u(-4). Let q be b/40 + -5 + 78/n. Put q, 4/5, 1/2 in ascending order.
q, 1/2, 4/5
Suppose 5*w - 368 = -4*k + 28, 0 = -w + 4*k + 60. Put 5, w, -4 in decreasing order.
w, 5, -4
Let q = 2 - 4. Let f be (-112)/(-308) - (1/4 - (-1350)/264). Sort q, f, 7.
f, q, 7
Let p be (3/(-21))/(12/(-14)). Let b = 411 + -586. Let v = b - -172. Put p, v, 4/9 in increasing order.
v, p, 4/9
Let c = -3644.8 - -3645. Put c, -1, -5/2, -2/3 in decreasing order.
c, -2/3, -1, -5/2
Suppose 21*x + 75*x - 288 = 0. Put 0.03, 1/7, x in decreasing order.
x, 1/7, 0.03
Let q = -188 + -20. Let y = q - -208.5. Let j = -37/4 - -9. Put j, y, 3/2 in increasing order.
j, y, 3/2
Suppose 0 = -4*s - 3*b - 23, -2*s + b + 5 = 14. Put -9, s, 296 in increasing order.
-9, s, 296
Suppose -14*z - 5320 = -0*z. Let k = -374 - z. Put 1, -9, k in descending order.
k, 1, -9
Let f = 2 - -3. Let m = -0.01 + -0.3. Let l = m + 2.31. Sort -4/5, f, l in increasing order.
-4/5, l, f
Let o(u) = 6*u**2 - 831*u + 409. Let r be o(138). Suppose 5*h + 3*d + 22 = -0*d, 2*h + 8 = -d. Let l = -9 + 5. Put l, r, h in decreasing order.
h, l, r
Let p be 612/60 - 11 - ((-12)/10 + 0). Put p, -0.4, 0.334, 3 in increasing order.
-0.4, 0.334, p, 3
Let k(b) = -b**3 + 4*b**2 - 6*b. Let y be k(4). Suppose 770*a - 833*a = -189. Sort 5, y, a, -3.
y, -3, a, 5
Let j = 89 - 89.039. Let h = 0.291 - j. Let r = h + 4.67. Sort r, 2/5, -3/5 in descending order.
r, 2/5, -3/5
Let l be -36*(1 - 6)/10. Suppose 5*m - 25 = -3*x, 2*x + 5*m - l = m. Put -16, x, 4 in increasing order.
-16, 4, x
Let i = -5744 + 5745. Put 0, -2, i, -2/17, 0.11 in increasing order.
-2, -2/17, 0, 0.11, i
Let p = -9248 - -9258. Sort 7, p, -12 in decreasing order.
p, 7, -12
Let m = -0.4336 - -0.6336. Put -1.8, 0.1, 5, m in descending order.
5, m, 0.1, -1.8
Let s be (4/78)/((-14)/(-9 + -33)). Put s, 2/11, 1, -2/11, -3 in increasing order.
-3, -2/11, s, 2/11, 1
Suppose 177*c - 179*c + 9 = -3*p, -2*p + 4*c - 22 = 0. Put 21, -1, p, 20 in ascending order.
-1, p, 20, 21
Let b(r) = 3*r**2 + 119*r + 25. Let v be b(-44). Let y = v - 594. Put y, -20, 5 in increasing order.
-20, y, 5
Suppose -37 = 4*r - 17, 46 = 2*i - 2*r. Suppose i*x + 209 = 3035. Put x, 4, 0.3 in increasing order.
0.3, 4, x
Let h(t) = 3*t**3 + 38*t**2 + 18*t - 59. Let g be h(-12). Suppose 4*m - 12 = 8. Sort m, g, -2, 0 in descending order.
g, m, 0, -2
Let g = -40717 + 40721. Let p = 8 + -7.7. Sort p, 62, 0.2, g in ascending order.
0.2, p, g, 62
Suppose 15*h - 220 = 9*h - 38*h. Let q = -5 + 2. Sort 0, h, 3, q in decreasing order.
h, 3, 0, q
Let z be (138/230)/(2/(3 + -1)). Let q(c) = -c**3 - 9*c**2 + 1. Let u be q(-9). Put z, 0.2, 0.04, u in ascending order.
0.04, 0.2, z, u
Let y(r) = r + 27. Let d be y(-10). Let p = 22 - d. Suppose 0 = -p*w + 1 + 9. Put w, -1, 1 in increasing order.
-1, 1, w
Let m be (24/(-70))/((-8)/20). Let c = 3449/230 - 699/46. Sort -1, c, 9, m in descending order.
9, m, c, -1
Let f(c) = -c**2 - 3*c + 6. Let n be f(-5). Suppose 55*w = 59*w + 3*p + 5, -3*w - 110 = -19*p. Put n, w, 0 in increasing order.
w, n, 0
Let c = -11174 - -11176. Sort -3, -33, 3, c.
-33, -3, c, 3
Let x(o) = o**2 + 19*o + 50. Suppose 12*l = -12*l - 384. Let w be x(l). Sort w, -2, -3, -1 in increasing order.
-3, -2, -1, w
Let c(h) = -h**2 + 61*h - 824. Let v be c(38). Sort v, 4, 0, 1 in decreasing order.
v, 4, 1, 0
Let h(c) = -51*c + 712. Let z be h(14). Sort 25, -1, 1, -3, z in descending order.
25, 1, -1, z, -3
Let t = -5.3 - 0.7. Let j = t + 1. Let r = -544.7 + 510.7. Put r, j, 0.4 in descending order.
0.4, j, r
Let o = 61.4 - 61. Let y | {
"pile_set_name": "DM Mathematics"
} |
(q**(-5/2))**(-39)*q*q*q**(7/11)*q*q**29 assuming q is positive.
q**(2863/22)
Simplify ((((z**(-1/2))**14)**(-28))**(4/33))**37 assuming z is positive.
z**(29008/33)
Simplify (y*(y/((y**6/y)/y))/y*y*y**(2/13)*(y**(2/5)*y)/y*y**(3/7))/((y/y**0)**6)**(-4) assuming y is positive.
y**(10457/455)
Simplify (k/k**0*((k*k*(k*(k/k**(2/19)*k)/k)/k*k)/k*k)/k*k)**(-6/23)/((k**6*k/k**0)/(k*k/(k**1/k))**(-1/7)) assuming k is positive.
k**(-26193/3059)
Simplify s**(-2/9)*s*s/s**2*(s/(s/s**1))**(1/8)*(((s/(s**(-3/7)/s*s)*s)/s*s)/(s/(s/(s/s**4)*s)*s*s))/(s**(-7)*(s**(-7)/s)/s) assuming s is positive.
s**(10247/504)
Simplify (u**3/(u/(u/(u/u**(1/5)))*u)*(u*u**(-2))**(-25))/(u**0*u/u**(-7)*(u**(-1/2))**(-37)) assuming u is positive.
u**(-3/10)
Simplify ((r**0)**(1/4))**(-3/17)/(((r**(-1/2)/r)/r)**32)**0 assuming r is positive.
1
Simplify ((b**(2/9)/b)/b**(2/9))/(b**(4/9)/(b*b**1*b))*((b**(-2)*b)/b*b/(b**(-3)*b))/(b**(-2/7)/b**6) assuming b is positive.
b**(557/63)
Simplify (k**(-2/9)/k*k**(5/2)/k*k**(1/14)*k*k*(k/((k/k**(1/8)*k)/k)*k)/k)/(k**6*k**4*k*(k**2)**17) assuming k is positive.
k**(-21433/504)
Simplify ((q*q**6*q**(-2/7))/(q*q*q**(-3)*q*q**5))**(-40) assuming q is positive.
q**(-480/7)
Simplify (p**(-1/7)*p*p/(p/p**(-1))*((p*((p*(p**1*p)/p)/p)/p)/p)**(-8))/(p**(-1/4)/p**(-1/2)*(p**(2/3))**(-2/37)) assuming p is positive.
p**(-1109/3108)
Simplify (g**(-1/13)*g**(2/33)/g)**1/((g*g**1*g*g*g)**(2/81)*g**(-2/13)/g**(-8)) assuming g is positive.
g**(-104084/11583)
Simplify ((y**(2/21)/y)/(((y/y**6)/y)/y))**(2/89)*y*(y**1*y)/y*y*y**(3/7)*y/y**(2/3)*y**(-2/3) assuming y is positive.
y**(863/267)
Simplify ((a/((a*a*a**(-2/3))/a))/((a*a/((a**(-2/5)/a)/a))/a))/((a*(a*a*a**(-1))/a)/a**3)*((a**2*a)**(8/7))**28 assuming a is positive.
a**(1429/15)
Simplify (m**(-1/9)/(m*m*m**3/m)*(m/(m/m**(2/9)))/(m/(m*m**3)*m*m))/((m**(-6)*m**(-2))/(m*m**(1/3)*m*m/m**2)) assuming m is positive.
m**(58/9)
Simplify v**(-3)*v/v**3*v*((v/((((v/v**8)/v*v)/v)/v))/v)/(v*v**8)*(v**(1/8)*v*v**(2/13))**(12/7) assuming v is positive.
v**(-47/26)
Simplify z*(z*z**(3/20)*z)/z*z**(-1/53)*z*(z*z*z**(-48))**(-5/12) assuming z is positive.
z**(70907/3180)
Simplify ((s**(-4/3)*s**(-3/10)/s*s**(-1)*s/(s*s**7*s))**(26/5))**(-10) assuming s is positive.
s**(9074/15)
Simplify (k**(1/4)/(k/(((k**(4/5)*k)/k)/k)))/(k**(4/3)*k*(k/k**(-1))/k)*(k*k**(2/17)*(k**(-2/9)/k*k)/k)/(k**(-1)*k*k**(-3)*k) assuming k is positive.
k**(-7307/3060)
Simplify ((s**(2/3)*s)/s)**(-20)*s**3/(s*s*s*s**(-1/2)*s*s)*s*s**3*s/s**(4/3)*(s**5/s)/s*s**(-4) assuming s is positive.
s**(-73/6)
Simplify ((((j**(-2/7)/j)/j)/j)/j**7*j**(-6/7)/(j**(4/9)*j))/((j**(-2)/j)/j*j*j/(j/j**(-2)*j)*j*j*j*j**4*j*j*j/j**(-3)) assuming j is positive.
j**(-1234/63)
Simplify ((((f*f**(-1)/f*f)**16)**(2/5))**(-21))**(-18) assuming f is positive.
1
Simplify ((((a**(2/25))**(1/2))**8)**(11/6))**(2/3) assuming a is positive.
a**(88/225)
Simplify (l**(3/10)/l*l/(l/(l**(3/4)/l))*l*l*(l/l**(-8)*l*l)/(l/(l/(l*l/l**(3/4)))))**(-1/3) assuming l is positive.
l**(-18/5)
Simplify (x/x**(3/8)*(x/x**(2/7)*x*x)/x)/(x**(-1)*x*x*(x**(-6/11)*x)/x*x)*(((x*x*x/(x*x**(2/5)))/x)**(-10))**(2/9) assuming x is positive.
x**(-829/1848)
Simplify (((r**14*(r/r**10)/r)/(r**8*r**(-6/5)))**39)**(2/35) assuming r is positive.
r**(-156/25)
Simplify (s**1*s/s**5)**(-1)*(s*s**(-4)*s*s**9)**(-4) assuming s is positive.
s**(-25)
Simplify (f*f**4)/((f/(f**(5/6)/f))/f)*f**(2/3)*f**(1/6)*(f*f/((f/(f*f**(-2/7)))/f))**(1/66)/(f/(f*f*f**(1/2))*f)**(-1/37) assuming f is positive.
f**(16223/2849)
Simplify ((m**3*m)**(-40))**24*(m**(8/9)*m*(m*m/(m*m*m**9))/m*m)**(-1/4) assuming m is positive.
m**(-34544/9)
Simplify ((o**(1/2)/o)**(4/23))**(-13)/(((o*o*o**(-2/3)/o)/o)**46)**(-30) assuming o is positive.
o**(-21134/23)
Simplify (((x/(x*x*x/x**(-1))*x)/x)**(-2/73))**10/(((x*x**(1/4)/x)/x**(-2))/(x**0*x*x*x/x**(-1))) assuming x is positive.
x**(751/292)
Simplify (y**(-1)*y/y**(1/27)*(y**(-4)/y)/(y**7*y))**33 assuming y is positive.
y**(-3872/9)
Simplify ((w*w/(w/(w**(-2/3)/w)))**24*(w/w**(-2))/w*w*w**(-1/5)*w)**(-12) assuming w is positive.
w**(732/5)
Simplify ((s*s*s**(-1/3)*s)**(-48)/(s**1)**(-1/3))/((s*s*(s/s**(-5))/s)/s*s*s**(-4)/s*s)**(-13/2) assuming s is positive.
s**(-649/6)
Simplify ((g*g*g**(1/3)*g)/g*g)**(1/3)*(g**(-2/3)*g)**(-15/8)*((g*g**(-1/8))**(2/3))**31 assuming g is positive.
g**(1337/72)
Simplify ((((n**3/n)/n*n)/(n/(n/(n*n/n**25))))/(n*n**(-9/7))**17)**(-5/9) assuming n is positive.
n**(-1045/63)
Simplify ((h**(-1/2)/h**1)/((h/(h/(h**(2/5)*h)))/h**(-4/3)))/(h**5/h*h*h**(-2)*(h/(h/(h**(-7)*h)))/h*h**(-5/3)) assuming h is positive.
h**(43/30)
Simplify ((j**2*(j*j**7)/j*j*j)/(j**(2/9)*j/j**(1/3)))/((j*(j/j**(2/9))/j)/(j**(-2/11)*j))**(-1/28) assuming j is positive.
j**(7006/693)
Simplify ((t/(t*t**0*t))/(((t**(6/7)*t)/t)/t))/(((t*t*t**(-17))/t)/(t**0/t)) assuming t is positive.
t**(99/7)
Simplify n*n**(-1)*n**5*((n*n**1)/n)**(-1)*(n/(n**(-1/3)/n))**(-5/7)/(n**(2/11))**(-22/9) assuming n is positive.
n**(25/9)
Simplify ((g/(g*(g**(1/4)*g)/g*g))**(-44))**(-48)*(g**(2/3))**(-48)/(g*(g*g/(g/g**(-1/3)))/g*g**(2/15)/g) assuming g is positive.
g**(-13359/5)
Simplify (v**(-23)*v*v*v/v**(5/9)*v**(1/11)/(v*((v**(-4/13)/v*v)/v)/v))**(-37) assuming v is positive.
v**(912235/1287)
Simplify ((v/(v*(v/v**(1/4)*v)/v))**(-30/11)/(v**1)**(4/11))/(((v**(-2/5)*v)/v*v)**26*(((v*v**(2/3)*v)/v)/v)**(2/65)) assuming v is positive.
v**(-59797/4290)
Simplify (w**22/w)/w**36*(w**(-13/4)*w)/w**41 assuming w is positive.
w**(-233/4)
Simplify (i**1*i*i**(-26)*i*i*(i**(-6/29))**(-34/5))**(1/33) assuming i is positive.
i**(-2986/4785)
Simplify (d**4/(d/d**(-16))*(d**9)**(-15/7))**(2/5) assuming d is positive.
d**(-452/35)
Simplify (((((h**0*h)/h)/h)**(-8)*(h**(-3))**49)**(-24/11))**(-6/5) assuming h is positive.
h**(-20016/55)
Simplify (c**13)**(-18/5)*c**(5/14)/c*c/c**(-8/3) assuming c is positive.
c**(-9193/210)
Simplify (l/(l/(l/l**0)))**39*(l*l/(l/(l*(l/((l**0*l*l)/l*l))/l)))/l*l/l**(-1)*(l**(-1)*l)**(16/7)*(l**0/l)**(-2/17) assuming l is positive.
l**(682/17)
Simplify ((f**(-1/2)*f*f*f**(-2/3)*f*f*f)/((f*f/f**(2/7))/f)**(-12/7))/((f**(2/7))**(1/29)/(f*f**(2/3))**46) assuming f is positive.
f**(232233/2842)
Simplify ((h**(-2/63))**(-5/6)/((h*h*h**(1/2))/(((h*h/(h/(h*h**19)*h))/h)/h)))**(-2/99) assuming h is positive.
h**(-5869/18711)
Simplify (l**(10/7)*l*(l/(l/l**(17/6)))/l*l*((l*l*(l/l**18*l)/l)/l)**(5/2))**34 assuming l is positive.
l**(-24803/21)
Simplify f**3/(((f**7*f)/f)/f)*(f/f**5)/(f*f**(-3/2))*((f*f**0*f)/((f**(7/5)*f)/f))**45 assuming f is positive.
f**(41/2)
Simplify ((u*u**(-1/4)*u)**(-8))**35/(u**8*u**(-6/11))**2 assuming u is positive.
u**(-5554/11)
Simplify (f**(3/32)/(f*(f/(f**(-33)*f))/f))/(f**(2/73)*f/(f/(f*f*f/(f**(-15/7)/f)))) assuming f is positive.
f**(-638979/16352)
Simplify x**(1/4)/((x/(x*(x*x**(-4))/x))/x)*x**1*x*x**(-2)*(x**(-1/4))**27*x**(-3)*(x**(2/23)/x)/x*x assuming x is positive.
x**(-617/46)
Simplify ((d*d**(-4)/d)/((d**(8/5)*d)/d))**(-4/15)/((d*(d/((d**1*d)/d))/d)**(-34)*d**(-6)/d*d/(d*d**(1/4)*d)) assuming d is positive.
d**(2923/300)
Simplify (j*j*j**(-23)*(j**(-1/5)*j)/j*j**(4/15)/j**(17/3))**(-49) assuming j is positive.
j**(6517/5)
Simplify (((o*o*o**(-2/23)*o)/o*o)/((o**(-2/5)/o*o)/o))**(-7/6)*(o/(o**(2/7)*o*o*o))**(2/7)*(o*o**(-1/2)/o)/o**3 assuming o is positive.
o**(-310543/33810)
Simplify (d**(-1/6)/(d/((((d*d/d**4)/d)/d)/d)))**(-1/12)/(d**(2/17)/d*d*(d/d**(2/7))/d*d)**(-2/9) assuming d is positive.
d**(5987/8568)
Simplify ((d**(-2/3)/d)**(13/4)/(d*d**(-4)*d*d/(d**(-4)/d)))/((d*d/d**(1/11))/(d*d**(2/5)))**(-16) assuming d is positive.
d**(-839/660)
Simplify (((b**(-17)/b)/b**35)/(((b/(b*b/(b**9/b*b*b)))/b)/((b*(b**(-24)*b)/b*b)/b*b)))**(2/41) assuming b is positive.
b**(-166/41)
Simplify (w**7*w*w/(w*w**(4/11))*w**(-1/6)/w*w**(-2/5)/w)/(w**(7/3)*w**(-2)*w)**(-39) assuming w is positive.
w**(18833/330)
Simplify ((a/a**4)/(a**(-26/3)*a))/(a**(-25)/(a*a/a**40)) assuming a is positive.
a**(-25/3)
Simplify (((p**19)**(-2/25))**(-7))**(-45) assuming p is positive.
p**(-2394/5)
Simplify (m**(-9)/m**(-1/4))**(-27)/((m/(((m**(2/7)/m*m*m)/m)/m)*m)**(2/167)/((m*m**4*m*m)/m**(2/17))) assuming m is positive.
m**(19324493/79492)
Simplify ((u**6/((u*u**(-2/3))/u*u)*u*u/u**(-2)*u**(2 | {
"pile_set_name": "DM Mathematics"
} |
9787844 and 20?
1798939220
What is the smallest common multiple of 176904 and 165?
9729720
What is the smallest common multiple of 203259320 and 26840?
203259320
Calculate the common denominator of -163/42 and 85/1859706.
13017942
Find the common denominator of -53/27125064 and -151/16932.
27125064
Calculate the common denominator of 77/1178 and 58/333265.
392586170
What is the lowest common multiple of 25 and 379155940?
1895779700
What is the lowest common multiple of 21588 and 173732?
3648372
What is the lowest common multiple of 5338596 and 2669298?
5338596
Calculate the smallest common multiple of 4312392 and 49794.
185432856
Find the common denominator of 23/6024 and -73/2673150.
10692600
What is the common denominator of -30/303239081 and 23/5?
1516195405
Calculate the least common multiple of 11813895 and 765.
11813895
Find the common denominator of -20/7599097 and 141/4070.
75990970
What is the common denominator of -21/4075910 and 55/6?
12227730
What is the smallest common multiple of 16248672 and 31878?
113740704
Find the common denominator of 23/1160 and -163/2662200.
2662200
Calculate the smallest common multiple of 2133810 and 10364220.
72549540
What is the lowest common multiple of 72648 and 157324?
2857318488
What is the lowest common multiple of 7560 and 57060?
2396520
Find the common denominator of -107/31410 and -49/81912045.
491472270
Calculate the common denominator of 121/7020 and 55/13806.
414180
Calculate the lowest common multiple of 78966784 and 66560.
394833920
What is the common denominator of 32/7541947 and -14/261813303?
1832693121
Calculate the smallest common multiple of 4208007 and 3016359.
340848567
What is the common denominator of 59/1770972 and -41/145?
8854860
Find the common denominator of 83/413868 and -20/2451.
338130156
What is the common denominator of 25/5236 and 137/1619590?
35630980
Calculate the least common multiple of 1536 and 96612.
12366336
Find the common denominator of -1/2010 and 91/2540.
510540
Calculate the least common multiple of 158 and 10534729.
21069458
Calculate the least common multiple of 534 and 3628174.
10884522
What is the least common multiple of 386916 and 39108?
1260959244
What is the lowest common multiple of 1005 and 1026225?
68757075
Calculate the lowest common multiple of 718725 and 128205.
23717925
Calculate the least common multiple of 2181870 and 450.
10909350
What is the common denominator of -75/269348 and 41/5291896?
89962232
What is the lowest common multiple of 715 and 176894575?
176894575
What is the common denominator of 21/5282176 and 103/13865712?
110925696
What is the smallest common multiple of 18418 and 2836372?
2836372
What is the common denominator of -41/9030 and 151/21672?
108360
Calculate the least common multiple of 20 and 205487178.
2054871780
What is the least common multiple of 420 and 170358?
11925060
What is the common denominator of 26/111252981 and 37/333758943?
333758943
Calculate the smallest common multiple of 30230420 and 42322588.
211612940
What is the common denominator of -127/2160 and -101/486144?
7292160
What is the common denominator of 151/30 and 113/1726248?
8631240
Calculate the lowest common multiple of 19617200 and 550.
215789200
Calculate the lowest common multiple of 9504256 and 38017024.
38017024
Find the common denominator of 73/557102 and 8/2041.
87465014
What is the common denominator of -149/253260 and 59/366?
15448860
Find the common denominator of -8/147 and -71/1996353.
97821297
Calculate the common denominator of -9/188 and 29/1393940.
65515180
Calculate the common denominator of 119/412308 and -125/3848208.
11544624
Find the common denominator of 7/1116 and -131/1010898.
62675676
What is the smallest common multiple of 25868268 and 432?
103473072
What is the lowest common multiple of 77 and 9751?
107261
What is the common denominator of -85/32952 and 21/35698?
428376
What is the lowest common multiple of 2837 and 1577?
4473949
What is the lowest common multiple of 11061558 and 270?
165923370
Find the common denominator of -107/43776 and 7/417148800.
2502892800
Find the common denominator of 101/1194480 and 173/10800.
5972400
Calculate the smallest common multiple of 4031352 and 296088.
52407576
Calculate the common denominator of -87/172208 and -37/19712.
212160256
Find the common denominator of -55/46644 and -5/130806.
6017076
What is the smallest common multiple of 712602 and 2?
712602
What is the lowest common multiple of 345345156 and 20?
1726725780
What is the smallest common multiple of 89241 and 570315?
86117565
Calculate the common denominator of -115/11530596 and 38/262059.
11530596
Calculate the lowest common multiple of 3815 and 49050.
343350
Find the common denominator of 103/414 and -67/154400.
31960800
Calculate the common denominator of 99/32 and 77/15780066.
252481056
What is the smallest common multiple of 734318 and 3332674?
43324762
What is the lowest common multiple of 2333580 and 1760420?
100343940
What is the smallest common multiple of 16706928 and 2660?
83534640
What is the least common multiple of 801150 and 2478?
47267850
Find the common denominator of -55/78306116 and 47/12856228.
861367276
What is the least common multiple of 436137 and 11473758?
149158854
What is the common denominator of 33/14 and -95/52430642?
367014494
What is the smallest common multiple of 33072784 and 212906047?
3406496752
What is the smallest common multiple of 110 and 16489165?
32978330
What is the common denominator of -19/955296 and -5/803356?
1793090592
Calculate the least common multiple of 490014 and 882.
3430098
Calculate the smallest common multiple of 21535855 and 11401335.
193822695
What is the common denominator of -8/9782363 and -139/12?
117388356
Calculate the lowest common multiple of 1366181 and 91690.
13661810
Find the common denominator of -23/7767968 and -93/1613768.
458310112
What is the common denominator of -211/210 and -89/437970?
3065790
What is the least common multiple of 971012 and 2427530?
4855060
Calculate the lowest common multiple of 27 and 6595212.
59356908
What is the common denominator of 7/9 and 52/113799?
341397
Calculate the lowest common multiple of 4755 and 523050.
523050
Calculate the common denominator of -19/26863044 and 79/390.
134315220
Calculate the common denominator of -23/177765960 and -113/32280.
177765960
Find the common denominator of 61/170010 and -97/11562.
327609270
Calculate the smallest common multiple of 4 and 1640948.
1640948
What is the lowest common multiple of 640 and 8543760?
68350080
What is the lowest common multiple of 32197 and 7524?
22022748
Find the common denominator of -17/18264 and 73/644805.
3925572840
What is the least common multiple of 39987136 and 328?
39987136
Calculate the common denominator of -33/379642 and -133/658656.
54668448
What is the common denominator of 175/269620032 and 61/429?
3505060416
Calculate the smallest common multiple of 835329 and 792.
20047896
What is the least common multiple of 26274 and 17652?
77298108
Calculate the smallest common multiple of 300216 and 9757020.
19514040
What is the smallest common multiple of 7935368 and 3128?
134901256
What is the lowest common multiple of 88942 and 28266?
179573898
What is the lowest common multiple of 5055530 and 121820?
10111060
What is the least common multiple of 787660 and 610?
48047260
Find the common denominator of -55/165340353 and -29.
165340353
Calculate the smallest common multiple of 8672 and 97984.
26553664
What is the least common multiple of 98196 and 19873?
1669332
Find the common denominator of -181/618030 and -86/20601.
618030
Calculate the common denominator of 113/2710860 and -123/9036200.
27108600
What is the lowest common multiple of 16602978 and 45065226?
315456582
Calculate the common denominator of -27/4702000 and 109/1750.
32914000
What is the smallest common multiple of 556416 and 1536?
2225664
What is the smallest common multiple of 56 and 71898544?
503289808
What is the common denominator of -34/2095347 and -42/434171?
48192981
What is the least common multiple of 97794 and 472671?
2836026
What is the common denominator of 29/9916 and -109/297480?
297480
Calculate the least common multiple of 1195053 and 5137.
13145583
Calculate the common deno | {
"pile_set_name": "DM Mathematics"
} |
z(f). Give k(2).
-1
Let a = 7 + -1. Let s(g) = 2*g - 9. Calculate s(a).
3
Let g(p) be the first derivative of p**3/3 - 3*p**2/2 - 3*p - 10. Let u be g(-2). Let o(w) = -w**3 + 6*w**2 + 6*w + 5. Calculate o(u).
-2
Let j(g) be the second derivative of 5/6*g**3 - 1/24*g**4 - 1/120*g**6 - g**2 + 1/12*g**5 + 0 - 2*g. Let w(v) be the first derivative of j(v). Calculate w(5).
0
Let h(b) = b**2 - 4*b - 4. Let p(o) = o + 1. Let n(m) = h(m) - 3*p(m). Determine n(8).
1
Let f(v) = -v**3 - 3*v**2 - 2*v + 2. Let x be f(-2). Suppose 0 = 5*q - w - 18, -6*q + x*w + 21 = -q. Let c(n) = n**2 - 3*n - 3. Determine c(q).
-3
Suppose -2 = p - 4. Let v(l) = -5*l + 0*l**2 + 5*l**p - 6*l**2 + 0*l**2 - 4. Suppose 0*n = -4*n - 20. Give v(n).
-4
Let o(m) = 20*m**2 - 11*m + 11. Suppose 6*q = q + 30. Let t(v) = 7*v**2 - 4*v + 4. Let n(k) = q*o(k) - 17*t(k). Determine n(-4).
6
Let l(z) = -5*z + 4. Let x(p) = p**3 - 4*p**2 + 3*p + 3. Let o be x(3). Determine l(o).
-11
Let r = -1 + 4. Let f(j) = 2*j + 4*j + r - j. Let p = -5 - -3. Give f(p).
-7
Let d(b) = b**2 + 3*b - 37. Let h be d(-8). Let l(f) = 2*f**3 - 2*f**2 - 3*f + 3. Give l(h).
30
Let l(i) = -3*i + 2*i + 6*i**2 + 6*i**2 + 2 - 11*i**2. Give l(0).
2
Let g(y) be the first derivative of y**4/4 + 5*y**3/3 + 5*y**2/2 + y + 15. Let d(b) = -3 - 5*b + 2*b - 1 + b**2. Let q be d(3). Determine g(q).
-3
Let s(m) = m**2 + m - 5. Let n be s(0). Let z(c) be the second derivative of -c + 1/2*c**4 + 1/20*c**5 + 0 - 5/2*c**2 + 1/2*c**3. Give z(n).
5
Let o be (2/8)/(14/84). Let q(l) be the second derivative of 1/20*l**5 + 2*l + 0 - o*l**2 + l**3 - 5/12*l**4. What is q(4)?
5
Suppose -t + 7 = -5*y, -4*y - 1 - 1 = t. Suppose 0 = t*g + 5*q, q = -g - 3*q. Let w(f) = f**3 - f**2 + f - 7. Determine w(g).
-7
Let v be 4/(-30) - (-4)/30. Let u(b) = b**3. Give u(v).
0
Let f(p) = -2*p**2 - 3*p - 1. Suppose -5*r - q = -10, -2*r + 4*q = 10 - 36. Suppose r*v - 2 = -4*w, 2*v - v - 2*w + 6 = 0. What is f(v)?
-3
Let k(g) = -g**2 - 7*g - 6. Let t be k(-6). Suppose t = -2*r + 6 + 6. Let h(s) = 0*s + 6*s + r - 8 - s**2. Determine h(4).
6
Let r(x) = 6 + 2*x - 2*x - x**2 - x + 6*x. What is r(7)?
-8
Let h(v) = -v + 4. Let o be h(6). Let x(w) = 23336 + 2*w**2 - 23334 - w**2 + 2*w**3 - w. What is x(o)?
-8
Let l be (4/10)/(3/(-15)). Let n be 3/(2*1/l). Let v = 2 - n. Let j(z) = z**2 - 4*z - 7. What is j(v)?
-2
Let n be (-18)/(-8)*(-80)/(-30). Let f(h) = 2*h - 5. Give f(n).
7
Suppose 2*a + 15 - 3 = 0. Let g = -3 - -7. Let q = a + g. Let b(w) = w**3 + w**2 + w. Give b(q).
-6
Let c(b) = -25*b - 5. Let j(p) = -6*p - 1. Let m(r) = 2*c(r) - 9*j(r). Let x(k) be the third derivative of -k**4/24 - k**3/3 + 4*k**2. Let q be x(0). Give m(q).
-9
Let o = -3 + 30. Suppose 0 = -3*f + y - 11, o = -5*y + 7. Let i(j) = j**2 + 3*j - 3. Give i(f).
7
Let x be 46/(1/(-2*1)). Suppose -2*j + 4*j = 40. Let v be x/j - (-2)/(-5). Let h(s) = -s**2 - 5*s - 1. Determine h(v).
-1
Let j(t) = -4*t**3 - t**2 + t - 1. Let a(w) = -w**2 + 6*w - 4. Let y be a(2). Suppose 8*u = y*u + 4. Calculate j(u).
-5
Let o = 0 + -5. Let i(t) = t + 7. Determine i(o).
2
Let q(b) be the first derivative of -b**4/2 - b**2 - b - 16. Determine q(-1).
3
Let v(o) be the second derivative of -o**6/120 - 7*o**5/60 - 5*o**4/24 - o**3/2 - o**2 - 5*o. Let q(m) be the first derivative of v(m). What is q(-6)?
-9
Let d(l) = -l - 5 + 0 + 6. Calculate d(-5).
6
Suppose 4*l - u + 2*u = 14, l + 5*u = 13. Let a(j) = j**3 - 4*j**2 - 2*j + 4. What is a(l)?
-11
Let z(p) = -2 - 3*p - 2*p**2 - 4 + 4. Let y(n) = -n**2 + 1. Let k(t) = -3*y(t) + z(t). Let v(o) = -5*o. Let i be v(-1). Determine k(i).
5
Suppose -5*g + 2*u - 5 - 1 = 0, 0 = 3*u + 6. Let s(a) = a**2 - a - 1. Calculate s(g).
5
Let i(t) be the first derivative of -t**3/6 + t**2 + t - 1. Let z(l) be the first derivative of i(l). Let g(n) = n**2 - 8*n - 9. Let b be g(9). Determine z(b).
2
Let t be (8 - (-16)/(-4)) + 1. Let z = 4 - 4. Suppose z = j + 2*s - 15, -t*j + s + 16 = -4. Let y(m) = m - 1. What is y(j)?
4
Let h = -3 - -7. Suppose 2*a + 2*x = -0*x + 14, x - h = 0. Let m(t) = -t. Give m(a).
-3
Suppose -4 = -0*q + 4*q, 5 = -5*l + 5*q. Let s(z) = -3 + 3 - 1 + 0 - 4*z**2 - 2*z. What is s(l)?
-13
Let t(f) be the third derivative of -f**5/60 + f**4/4 + f**3/6 - 6*f**2. What is t(6)?
1
Let u(n) = -3*n + 4. Let f(b) = b + 1. Let d(z) = -2*f(z) + u(z). Suppose 12 = -6*m + 2*m. Let x be 10/8 + m/(-4). Give d(x).
-8
Let j(h) = h + 1. Suppose -x + 300 = 3*x. Suppose -3*n = 2*n + x. Let s be (-2 - n/6)*-4. Determine j(s).
-1
Suppose 0 = 10*n - 5*n + 20. Let v(w) = w**3 + 4*w**2 - 3*w - 4. Give v(n).
8
Suppose -4*o = 2 + 2. Let j = 9 + -6. Let u(r) = -j*r - 3 + 6*r + 2. Give u(o).
-4
Let y(i) be the second derivative of 0 + 0*i**2 + 1/6*i**3 + i. Let h be 21/(-9)*3 - -3. What is y(h)?
-4
Let p(f) be the second derivative of -f**4/12 - 5*f**3/3 + 15*f**2/2 - f. Let o be p(-11). Let s(h) be the first derivative of -2*h**2 + 3*h - 3. Give s(o).
-13
Suppose -2*d = -4*n - 22, -d - 5*n = 11 + 6. Let r be (0 - 3)/((-3)/d). Suppose -3 = -3*v, -5 - 6 = -r*j + v. Let f(t) = t**2 - 5*t - 2. Calculate f(j).
-6
Let d(x) = -25*x**2 - 100*x + 3*x**2 + 99*x. What is d(-1)?
-21
Let h(t) = 3*t**3 + 15*t**2 + 9*t - 7. Let s(j) = 4*j**3 + 22*j**2 + 14*j - 10. Let i(c) = -7*h(c) + 5*s(c). What is i(6)?
5
Let m be ((-48)/(-4))/(-4) - 1. Let r(j) = -j**2 - 3*j + 4. Determine r(m).
0
Let x be (-1)/(-3) - (-16)/(-3). Let l = 13 + -7. Let g(m) = 1 - l*m**2 - 1 - 6*m - m**3. Calculate g(x).
5
Let j(m) = -2*m - 8. Let n be j(-6). Suppose 36 = -n*d - 5*l, -2*d + 7*d = -5*l - 40. Let a(h) = h**2 + h - 5. Calculate a(d).
7
Let g be 4 - (0 - -1)*-1. Suppose -2*r = r + 2*o + 14, -5*r + 4*o = -6. Let s = g + r. Let w(b) = 2*b - 3. Determine w(s).
3
Let g(t) = t**3 + 3*t**2 + 2*t - 2. Let c(p) = -3*p**2 - 2*p - 1. Let y be c(-1). Calculate g(y).
-2
Suppose 0 = -2*x + 2 + 2. Suppose -3*h + 2*w = -4*h + 2, 0 = -5*w. Let q(j) = -1 - 3*j**3 + h + j + 2*j**3. Calculate q(x).
-5
Let w(a) = a**2 + a + 1. Let m(v) = -v**3 + 5*v**2 + 2*v - 7. Let g be m(5). Suppose -c = 4*y - 7, g*c - 49 = 3*y - y. Suppose -2*z = 3*z + c. Give w(z).
7
Let t(d) = -6*d**2 - 4*d + 5. Let j(x) = -x + 1. Let h(p) = 4*j(p) - t(p). Give h(1).
5
Let d(y) = 8*y - 5*y + 0*y + 3. What is d(-5)?
-12
Suppose 3*j + 2 + 5 = i, 5*j = 4*i. Let a(b) = b**3 + 3*b**2 - 3*b. Give a(j).
-4
Suppose -l + 5*l = 8. Let i = l - 1. Let q(v) = -3*v + 2*v - i - 4. Calculate q(4).
-9
Suppose 4*w + 7 = 3*h + 5*w, -5*w = -2*h + 16. Let m(z) = -h - 2*z + 0 + 4. Let f be -3*2*(-1)/3. Calculate m(f).
-3
Let y(u) = 3*u**2. Suppose 2*s + 6 = -4*k, 0*s - 27 = -4*s + 5*k. Suppose -s*c - 6 = -6*c. What is y(c)?
12
Let b(z) be the first derivative of -z**4/4 - 4*z**3/3 + 7*z**2/2 + 4*z + 1. Let d be -5 - ((-4)/(-2) - 2). Determine b(d).
-6
Let v(u) = 3 - 4*u**2 - 6 - 5*u + 2. Let c(m) = 177*m - 178*m + 3*m**2 - 4*m**2. Let o(l) = -9*c(l) + 2*v(l). Calculate o(2).
0
Let c = 18 + -16. Let s(p) = c*p**2 - 4*p**2 + 3*p**2. Calculate s(1).
1
Let l(s) = -s - 4. Suppose -3*h + 3*p + 45 = 0, 29 = -h + 3*h - p. Let i be (21/h)/((-6)/20). Calculate l(i).
1
Let l = -7 - -12. Suppose -2*x + l*z - 23 = 0, -3*x - 4*z = -31 + 8. Let w(u) = 12*u**3. What is w(x)?
12
Let a(b) be the second derivative of b**5/20 - b**4/3 - 5*b**3/6 - 7*b. What is a(5)?
0
Let j(m) = -2*m**2 + 2*m - 4*m + m**2. Suppose 0 = -v - 4*i + 11, -8*v + 14 = -4*v + i. Suppose 0 = -2*o - 5 + v. Calculate j(o).
1
Let b(r) = r + 7. Let g be b(-4). Let s(y) = 5*y + 1. Give s(g).
16
Let p(u) = -u + 4. Let f be p(6). Let w = 1 + -4. Let b be (f/w)/((-2)/6). Let m(v) = 2*v - 1. Calculate m(b).
-5
Suppose 4*m + a - 24 = 5*a, 3*a = 2*m - 15. Let n(o) = -2*o + 4. Calculate n(m).
-2
Let h be (-7)/(7/3) + -1. Let z(a) = a**2 + 5*a + 2. Determine z(h).
-2
Suppose -2*p - 15 = -7*p. Suppose -p*j = -6*j + 6. Let t(r) = 8 + 2*r**j - 2*r**2 + 4 + r**2 - r**3. Give t(0).
12
Let g(s) = 12 - 10*s - 2 - 6 + 7*s. Give g(5).
-11
Let h(n) = -3*n**2 - 3*n + 0*n + 2*n**2. Let u(z) = z. Let m(p) = 7*p + 1. Let y(d) = m(d) - 6*u(d). Let w be y(-4). What is h(w)?
0
Let c(y) = -3*y**2 - 4*y - 4. Let w(h) = -2*h**2 - 3*h - 4. Let i(x) = 3*c(x) - 4*w(x). Suppose -8 = -4*q - 4*n, 7*q - 3*q = 5*n - 10. What is i(q)?
4
Let o(j) = j**3 + 7*j**2 - 8*j - 11. Let a be (-52)/6 | {
"pile_set_name": "DM Mathematics"
} |
v**d + 1 + 3 wrt v?
-3*v**2
Let q(s) be the first derivative of 7*s**5/60 + 15*s**3/2 - 31*s**2/2 + 8. Let y(w) be the second derivative of q(w). What is the derivative of y(t) wrt t?
14*t
Differentiate 2*u**2 + 291 - 87 - 29*u**2 - 4*u**2 + 484*u - 486*u with respect to u.
-62*u - 2
Let p(s) be the first derivative of 7/2*s**6 + 0*s**4 + 0*s + 43 + 3*s**2 + 0*s**5 + 0*s**3. What is the second derivative of p(n) wrt n?
420*n**3
Let n(y) = 268*y + 279. Let u(c) = -178*c - 186. Let f(p) = 5*n(p) + 7*u(p). What is the derivative of f(q) wrt q?
94
Suppose 3*k + 24 = 2*s, 4*k - 4 + 32 = 2*s. Let a be (-5)/(10/5 - 3). What is the second derivative of 24*n**3 - 24*n**3 - s*n + a*n**4 wrt n?
60*n**2
Let j(n) be the second derivative of -7*n**4/12 + 55*n**3/6 - 3*n**2/2 + 6*n - 1. What is the second derivative of j(g) wrt g?
-14
What is the second derivative of 2*k**2 + 356*k + 639*k**3 - 54*k - 70*k - 26*k wrt k?
3834*k + 4
Let h(g) = 15*g**2 - 6*g + 36. Let j(z) = -2*z**2 + 0*z**2 + z - 1 + 3*z**2. Let w(d) = h(d) + 6*j(d). What is the derivative of w(i) wrt i?
42*i
Let f(j) = -j**2 + 4*j. Let y be f(4). Let n be 18/3 - (0 - y). What is the third derivative of -5*d**6 + 7*d**6 - 2*d**2 + 6*d**n wrt d?
960*d**3
Suppose 5*a - 21 - 4 = 0. Find the second derivative of -12*m**a + 397*m**4 - 28*m - 397*m**4 wrt m.
-240*m**3
Let s(z) be the third derivative of 95*z**8/336 - 27*z**5/5 + 161*z**2. What is the third derivative of s(q) wrt q?
5700*q**2
Let m(u) = -274*u**3 - 13*u**2 + 477*u + 26. Let q(p) = -137*p**3 - 6*p**2 + 238*p + 12. Let f(z) = 6*m(z) - 13*q(z). Find the second derivative of f(l) wrt l.
822*l
Let k(n) = 189*n**2 - 133*n. Let w(c) = 570*c**2 - 401*c. Let t(j) = -17*k(j) + 6*w(j). What is the second derivative of t(y) wrt y?
414
Suppose t + 3*t - 12 = 0. What is the second derivative of -5*g - 13*g**t + g - 2*g wrt g?
-78*g
Let p(q) = 35*q**3 - 2*q**2 - 6*q + 12. Let n(j) = -69*j**3 + 3*j**2 + 11*j - 22. Let x(v) = 6*n(v) + 11*p(v). What is the third derivative of x(l) wrt l?
-174
Suppose l - 28 = 65. What is the third derivative of -l*z**2 - 5*z**3 - z**3 + 91*z**2 wrt z?
-36
Let h(p) be the first derivative of 6 - p + 0*p**2 - 1/3*p**3. Let a(f) = 2*f**2 + 6. Let b(z) = 2*a(z) + 10*h(z). What is the derivative of b(l) wrt l?
-12*l
Let h = -3 - 3. Let k(z) = 5*z**2 - 5*z**2 - 3 - 3 - 5*z**3. Let x(y) = -4*y**3 - 7. Let q(s) = h*k(s) + 5*x(s). Find the first derivative of q(j) wrt j.
30*j**2
What is the third derivative of -3*p**4 + 21592*p**5 + 24*p**2 - 21551*p**5 + 3*p**4 wrt p?
2460*p**2
Let l(w) = w**2 + 5*w + 9. Let t be l(-6). Let c be (t/12)/((-2)/(-16)). Find the second derivative of 6*b - c*b + 4*b**4 + 2 - 2 wrt b.
48*b**2
Let p(v) = -v**3 + 6*v**2 - 2*v - 1. Let s be p(4). Let c = s - 20. What is the first derivative of -8*h + c - 1 - 3 + 0 wrt h?
-8
Let h(p) = -35*p - 18. Let y(f) be the third derivative of 53*f**4/12 + 53*f**3/6 + 35*f**2. Let l(k) = 7*h(k) + 2*y(k). Differentiate l(a) wrt a.
-33
Suppose 5*p = -3*x + 12, 2*x + 4 + 7 = 3*p. Suppose -7*y - 4 = 4*o - p*y, -3*o = -4*y - 32. What is the second derivative of -m**5 + o*m - m**5 + 9*m**5 wrt m?
140*m**3
Let s(n) be the first derivative of 0*n**4 + 0*n + 2/5*n**5 - 13/3*n**3 - 4 + 0*n**2. Find the third derivative of s(j) wrt j.
48*j
Let r be (2/(-6))/((-16)/192). Let z(j) be the first derivative of -6 + 0*j + 0*j**3 - 3*j**2 + 5/4*j**r. What is the second derivative of z(l) wrt l?
30*l
Let z(x) be the second derivative of 159*x**5/20 - 13*x**4/12 - x - 24. What is the third derivative of z(h) wrt h?
954
Let d(p) = -46*p**2 + 2*p - 82. Let b(u) = -1. Let m(l) = 3*b(l) + d(l). Find the first derivative of m(c) wrt c.
-92*c + 2
Suppose -3*j = 3*h - 6, 0*h = -h - 2*j + 1. Suppose -g - 4*g = h*w - 6, -2*w - g = -11. Find the third derivative of -2*z**6 - w*z**2 + z**2 + 4*z**2 wrt z.
-240*z**3
What is the second derivative of -2*a**2 - 2*a**2 - 184*a + 30*a + 11*a**3 + 3*a**2 - 96*a**3 wrt a?
-510*a - 2
Suppose 48 = 3*h - 3*c, h - 75 = -4*h + 4*c. Suppose -2*j = m - h, 2*m - m + 1 = 2*j. What is the first derivative of -8 - r**4 - 102*r**3 + 102*r**j wrt r?
-4*r**3
Let t(k) be the second derivative of -221*k**5/20 - k**4/6 + 4*k**3/3 - 91*k. Find the third derivative of t(a) wrt a.
-1326
Let h(a) be the first derivative of 19*a**3/3 + a**2 - 116*a - 52. What is the second derivative of h(z) wrt z?
38
Let d(l) = 442*l**2 - 11*l + 150. Let j(g) = -221*g**2 + 6*g - 76. Let r(t) = -6*d(t) - 11*j(t). What is the first derivative of r(v) wrt v?
-442*v
Let z(c) = -c**3 + 17*c**2 - c + 21. Let v be z(17). Differentiate v - 3*o + 5 + 1 with respect to o.
-3
Let m = -76 + 97. What is the derivative of -34*o**3 + 5 - 1 + 2 + m wrt o?
-102*o**2
Let t(j) be the second derivative of -j**5/20 + 19*j**4/12 + 11*j**3/2 + 3*j**2/2 - 54*j - 1. What is the second derivative of t(w) wrt w?
-6*w + 38
Let b(a) be the second derivative of -4/21*a**7 + 0*a**5 - 16*a + 0 + 0*a**6 + 0*a**4 + 0*a**2 - 5/3*a**3. What is the second derivative of b(o) wrt o?
-160*o**3
Let f(u) be the third derivative of -41*u**7/210 + u**5/6 + 13*u**2 - u. What is the third derivative of f(l) wrt l?
-984*l
Let p = -60 + 62. What is the second derivative of -9*b - 16*b**2 + p*b - 21*b - 2*b**2 wrt b?
-36
Let n(d) be the first derivative of d**6/10 + 13*d**5/60 - 2*d**2 + 11. Let j(u) be the second derivative of n(u). What is the third derivative of j(x) wrt x?
72
Suppose 2*w - 4*w = 10, -l = -w - 8. Suppose 0 = b - 2*b + 3. Differentiate -2*m + 2*m - 1 + 4*m**b - 10*m**l wrt m.
-18*m**2
What is the derivative of 113 + 83 - 362*z**2 - 19 + z - 5*z**2 wrt z?
-734*z + 1
What is the second derivative of -38452 - 262*a + 59*a**2 + 67*a**2 + 38452 wrt a?
252
Let i(m) be the first derivative of -57*m**5/5 - m**4/4 + 111*m**2 + 143. What is the second derivative of i(v) wrt v?
-684*v**2 - 6*v
Let b(x) = x + 4. Let v be b(0). Suppose 0 = -v*f - 0*f. Find the first derivative of -u**4 - 1 + 2*u**4 + 2*u**4 + f*u**4 wrt u.
12*u**3
Let i be (-1 - -3) + (-2)/1 + 3. Find the first derivative of -193*j**2 - 13*j**i + 193*j**2 + 14 wrt j.
-39*j**2
Let l(k) be the first derivative of 0*k + 11 + 0*k**4 - 13/6*k**6 + 0*k**5 + 2*k**2 + 0*k**3. Find the second derivative of l(p) wrt p.
-260*p**3
Let y = -139 + 143. What is the second derivative of 18*h**4 + 31*h**y - 23*h - 66*h**2 + 66*h**2 wrt h?
588*h**2
Let k be 112/40 + (-2 - (-11)/5). Find the second derivative of -16*a**2 - 201 + 201 + k*a wrt a.
-32
Let g(y) be the first derivative of -241*y**6/6 + 64*y**3/3 + 5. Find the third derivative of g(n) wrt n.
-14460*n**2
Let b(y) be the third derivative of -371*y**5/60 - y**4/12 + 13*y**3 - 75*y**2 - 2*y. What is the second derivative of b(i) wrt i?
-742
Suppose 0*o - 15 = -3*o, 14 = -v + 3*o. Find the second derivative of v - 113*f**3 + 107*f**3 + 8*f - 1 wrt f.
-36*f
Let l(y) = -48 + y**2 + 28 + 30 - 8*y. Let s be l(7). What is the second derivative of 3*f**3 - f**s - 4*f - 15*f**3 - 4*f wrt f?
-78*f
Find the second derivative of 41*a**2 - 153*a**2 - 1 + 42*a - 166*a**2 + 35*a**2 wrt a.
-486
Let a(g) = -31*g**2 + 3*g + 169. Let l(b) = 59*b**2 - 7*b - 336. Let c(h) = -7*a(h) - 4*l(h). Find the first derivative of c(f) wrt f.
-38*f + 7
Let b(d) = 127*d**4 + 13*d**3 - 198*d. Let w(l) = -63*l**4 - 6*l**3 + 98*l. Let s(z) = 6*b(z) + 13*w(z). What is the second derivative of s(j) wrt j?
-684*j**2
Let c(d) = d**2 - 2*d + 1. Let x(o) = 2*o**3 - 49*o**2 + 5*o - 3. Let a(j) = -2*c(j) - x(j). What is the second derivative of a(s) wrt s?
-12*s + 94
Let r(f) be the first derivative of -f**3 + 0*f**6 + 0*f**2 + 0*f**5 + 8/7*f**7 - 27 + 0*f + 0*f**4. What is the third derivative of r(h) wrt h?
960*h**3
Let k(q) = 2*q**2 + 3*q. Let h(x) = -153*x**2 + 9*x. Let p(s) = h(s) - k(s). What is the second derivative of p(f) wrt f?
-310
Let b(s) be the third derivative of 3*s**8/1120 - s**5/15 + 3*s**4/8 + 10*s**2. Let j(l) be the second derivative of b(l). Differentiate j(q) with respect to q.
54*q**2
Suppose 5*w - 15 = m + 4, 0 = -2*m - 8. Let k be (-22)/(-10) - w/15. What is the third derivative of -3*q**k + 2*q**2 - 4*q**3 - 2*q**2 + 3*q**3 wrt q?
-6
Let v(u) = -34*u**2 + 5*u + 101. Let q(a) = 76 - 18*a**2 + 0*a + 0*a + 3*a - 25. Let l(i) = 5*q(i) - 3* | {
"pile_set_name": "DM Mathematics"
} |
6 and 2700?
108
What is the greatest common factor of 16896 and 1221?
33
Calculate the greatest common divisor of 3281 and 2123.
193
What is the greatest common divisor of 639729 and 36?
9
Calculate the highest common divisor of 4992 and 50752.
832
Calculate the highest common factor of 847 and 4278197.
847
What is the highest common divisor of 4551 and 8856?
123
What is the greatest common factor of 2089036 and 4?
4
What is the highest common divisor of 3515616 and 39?
39
Calculate the greatest common factor of 8 and 18488.
8
What is the highest common divisor of 30564 and 3186?
54
Calculate the highest common divisor of 810 and 2132730.
810
Calculate the highest common factor of 44 and 115126.
22
Calculate the highest common factor of 1807 and 21047.
13
Calculate the greatest common divisor of 959010 and 3510.
390
What is the greatest common factor of 6 and 1382817?
3
Calculate the highest common factor of 11115 and 78.
39
Calculate the highest common factor of 1116 and 2916.
36
What is the highest common divisor of 981390 and 30?
30
Calculate the highest common divisor of 627 and 31559.
209
Calculate the highest common divisor of 1440 and 155.
5
Calculate the greatest common divisor of 144 and 124808.
8
What is the highest common factor of 3540168 and 216?
72
What is the highest common factor of 882 and 1422?
18
Calculate the highest common divisor of 456 and 366776.
152
Calculate the greatest common divisor of 239 and 9355177.
239
Calculate the highest common factor of 12 and 44706.
6
Calculate the highest common factor of 186 and 129022.
62
What is the greatest common divisor of 261 and 3075972?
87
Calculate the highest common divisor of 1560 and 17496.
24
What is the highest common divisor of 1442 and 97335?
721
What is the highest common factor of 31856 and 136836?
724
Calculate the highest common divisor of 3160 and 200.
40
Calculate the highest common divisor of 36 and 6282.
18
What is the highest common divisor of 95 and 154318?
19
What is the highest common divisor of 5207 and 19024?
41
What is the highest common divisor of 1724 and 2312?
4
What is the highest common divisor of 7809 and 3553?
19
Calculate the highest common divisor of 6794 and 89569.
43
Calculate the highest common factor of 64 and 17.
1
What is the highest common divisor of 21 and 3647?
7
What is the highest common factor of 40518 and 24?
6
Calculate the greatest common divisor of 982748 and 624.
52
Calculate the highest common factor of 340 and 4680.
20
Calculate the greatest common divisor of 303345 and 229635.
2835
Calculate the greatest common divisor of 46 and 15594.
46
What is the greatest common divisor of 118260 and 108?
108
What is the highest common divisor of 2673 and 6732?
99
What is the highest common factor of 9105 and 135?
15
Calculate the greatest common divisor of 11 and 109.
1
Calculate the greatest common factor of 532203 and 168.
21
What is the greatest common divisor of 2280 and 513285?
285
What is the highest common divisor of 1410 and 510?
30
What is the greatest common divisor of 172998 and 126?
126
What is the greatest common factor of 776010 and 60?
30
What is the highest common divisor of 119803 and 188?
47
Calculate the highest common factor of 167895 and 910.
455
Calculate the greatest common factor of 54 and 75246.
6
What is the greatest common factor of 99780 and 120?
60
What is the highest common divisor of 1592450 and 60?
10
What is the greatest common divisor of 8330 and 2450?
490
What is the greatest common factor of 227710 and 70?
70
What is the greatest common factor of 363 and 568821?
363
Calculate the greatest common divisor of 4 and 172022.
2
What is the greatest common divisor of 429 and 91962?
39
Calculate the greatest common divisor of 6760 and 906685.
845
What is the highest common divisor of 74 and 50098?
74
Calculate the greatest common divisor of 6488291 and 2337.
779
Calculate the greatest common factor of 46843 and 278.
139
Calculate the greatest common factor of 220 and 1295635.
55
What is the highest common factor of 6924 and 4?
4
What is the greatest common factor of 267 and 299841?
267
What is the highest common divisor of 1230861 and 615?
123
What is the highest common divisor of 20 and 9782080?
20
Calculate the highest common factor of 81442 and 86.
86
What is the highest common factor of 58 and 18721?
1
Calculate the greatest common divisor of 150 and 52710.
30
Calculate the highest common factor of 564 and 116748.
564
What is the greatest common factor of 402 and 38458?
134
Calculate the greatest common factor of 11058 and 17328.
114
What is the highest common divisor of 32805 and 63?
9
Calculate the highest common factor of 433654 and 3380.
338
What is the highest common factor of 71838 and 338?
26
Calculate the highest common factor of 574938 and 52.
26
Calculate the greatest common divisor of 68280 and 9600.
120
What is the highest common divisor of 11118 and 9078?
102
Calculate the greatest common divisor of 104 and 299624.
104
What is the greatest common factor of 484 and 4334?
22
What is the greatest common factor of 666 and 192807?
333
What is the greatest common divisor of 7327960 and 1097?
1097
Calculate the greatest common divisor of 51939 and 116.
29
What is the greatest common divisor of 7104 and 4144?
592
What is the greatest common factor of 252 and 1236186?
126
Calculate the highest common factor of 279 and 30101.
31
What is the greatest common divisor of 853 and 21?
1
What is the highest common divisor of 13764 and 45198?
186
Calculate the greatest common divisor of 184 and 608.
8
Calculate the highest common factor of 148 and 30266.
74
What is the greatest common divisor of 3 and 16917?
3
Calculate the greatest common divisor of 2012586 and 2636.
1318
What is the greatest common divisor of 290 and 258854?
58
Calculate the highest common divisor of 555 and 335035.
185
What is the greatest common factor of 1026 and 12825?
513
Calculate the greatest common divisor of 318 and 2317478.
106
Calculate the greatest common factor of 9427152 and 28.
28
What is the greatest common divisor of 5 and 1329805?
5
Calculate the greatest common divisor of 1313 and 221.
13
What is the greatest common factor of 248 and 64?
8
Calculate the highest common divisor of 257129 and 3890.
389
What is the greatest common factor of 9345 and 3210?
15
Calculate the highest common factor of 11 and 1052535.
11
Calculate the greatest common factor of 12772 and 372.
124
Calculate the greatest common factor of 116 and 22069.
29
What is the highest common divisor of 2225 and 1225?
25
What is the greatest common factor of 324 and 1092366?
162
Calculate the greatest common divisor of 619960 and 220.
220
What is the greatest common divisor of 1846 and 840853?
923
What is the highest common factor of 8132 and 5853007?
2033
Calculate the greatest common factor of 989 and 1118.
43
Calculate the greatest common divisor of 115121 and 49932.
1387
What is the highest common factor of 273669 and 209?
11
What is the highest common factor of 216528 and 120?
24
Calculate the greatest common factor of 26 and 126386.
26
Calculate the highest common divisor of 187880 and 528.
88
What is the greatest common factor of 2596 and 327391?
59
Calculate the greatest common factor of 8988 and 23540.
428
What is the highest common factor of 267109 and 655?
131
What is the highest common factor of 7657 and 6851?
403
Calculate the highest common factor of 215 and 158885.
215
What is the highest common factor of 4947 and 61983?
291
Calculate the greatest common factor of 2394912 and 104.
104
What is the highest common divisor of 26 and 7396?
2
What is the highest common factor of 99 and 204567?
33
Calculate the greatest common divisor of 135 and 219645.
135
What is the greatest common divisor of 24563 and 164318?
847
Calculate the greatest common divisor of 39517 and 1032.
43
Calculate the greatest common divisor of 3419334 and 162.
162
Calculate the greatest common factor of 496 and 1190896.
496
Calculate the greatest common divisor of 50721 and 29.
29
Calculate the highest common divisor of 1780 and 35244.
356
What is the greatest common factor of 593780 and 100?
20
What is the highest common divisor of 3777 and 96?
3
What is the highest common divisor | {
"pile_set_name": "DM Mathematics"
} |
irst derivative of d(z). What is x(j(h))?
-2*h
Let v(a) be the second derivative of -1/3*a**4 + 0*a**2 + 0 + 0*a**3 - a. Let r(p) be the first derivative of p**3/3 - 3. Give v(r(h)).
-4*h**4
Let c(f) be the third derivative of f**5/40 + f**3/3 - 3*f**2. Let q(l) be the first derivative of c(l). Let a(n) = 5*n - n - 2*n. What is a(q(s))?
6*s
Let x(w) = 15*w**2. Let k(a) = -a + 25. What is k(x(d))?
-15*d**2 + 25
Let l(c) = 3*c. Let k(o) be the second derivative of 0*o**2 + 1/6*o**3 + 0 + 2*o. What is l(k(f))?
3*f
Let n(q) = 3*q**2. Let b(z) be the third derivative of z**6/144 - z**4/8 - 2*z**2. Let w(d) be the second derivative of b(d). Calculate n(w(f)).
75*f**2
Let q(y) = 24*y**2 + 11. Let t(l) = 8*l**2 + 4. Let i(j) = -4*q(j) + 11*t(j). Let z(n) = 8*n. Give i(z(h)).
-512*h**2
Let h(a) = 5*a**2 + 4*a + 4. Let k be (4/1)/(1 + -2). Let y(l) = 6*l**2 + 5*l + 5. Let n(f) = k*y(f) + 5*h(f). Let j(b) = -2*b. Determine n(j(r)).
4*r**2
Let d(c) = -2*c**2. Let w(q) = 0*q + 2*q - 2*q + 6*q**2. What is d(w(x))?
-72*x**4
Let p(c) = 4*c**2. Let j(l) = -99*l**2. Determine j(p(d)).
-1584*d**4
Let b(l) = l - 3. Let h be b(3). Let i(m) = h*m - 6*m + m. Let d(o) = -8*o + 6. Let p(v) = -17*v + 13. Let z(t) = 13*d(t) - 6*p(t). Determine z(i(x)).
10*x
Let w(y) = -21*y**2. Let t(i) be the second derivative of i**4/6 - 2*i. Give w(t(u)).
-84*u**4
Let g(m) = 13*m**2 + 4*m. Let t(x) = -4*x**2. Give g(t(w)).
208*w**4 - 16*w**2
Let p(n) = -113*n**2. Let b(l) = l**2. What is b(p(u))?
12769*u**4
Let o(i) = 11*i - 532 + 532. Let d(t) = -t**2. Calculate d(o(b)).
-121*b**2
Let g(s) = 10*s + 4. Let w(f) = 60*f + 25. Let r(c) = -25*g(c) + 4*w(c). Let k(z) = -z. Calculate k(r(h)).
10*h
Let v(c) = -2*c**2 + 13. Let t(x) = -2*x. Give t(v(b)).
4*b**2 - 26
Let k(t) = -4*t**2. Let w(j) = j - 1021. Calculate w(k(m)).
-4*m**2 - 1021
Let i(k) = -43*k. Let r(u) = 57*u**2 + 33*u. Let m(c) = -7*c**2 - 4*c. Let w(v) = -33*m(v) - 4*r(v). What is w(i(s))?
5547*s**2
Let c(g) be the first derivative of g**2/2 + 2. Let f(x) be the second derivative of -x**3/3 - x + 25. Give c(f(z)).
-2*z
Let a(c) = 2*c. Let d(w) = -328*w**2 + 369. Let s(o) = o**2 - 1. Let t(b) = -2*d(b) - 738*s(b). What is a(t(q))?
-164*q**2
Let t(x) = -7*x. Let d be (-16)/(-5) - (-4)/(-20). Let o(r) = -2*r**2 + d*r**2 + 3*r**2 - 5*r**2. What is t(o(n))?
7*n**2
Let a = 14 + -5. Let p(g) = -g**3 + 5*g**2 + 2*g - 4. Let h be p(5). Let c(z) = h*z**2 + 9 - a. Let i(j) = j. Determine c(i(r)).
6*r**2
Let p be (-4)/(-6)*(-6)/(-2). Let c(n) = -3*n**p - n + n. Let m(q) be the second derivative of q**4/6 - q. Give c(m(k)).
-12*k**4
Let y(a) = -2*a**2. Let g(z) = 4*z + 9. What is g(y(h))?
-8*h**2 + 9
Let m(j) = j**2. Let y(t) = 193*t**2. Calculate y(m(w)).
193*w**4
Let m(u) = 3*u**2. Suppose 3*t - 7 = -s - 17, s - t - 6 = 0. Let g(c) = -c**2 + 3*c + 1. Let w be g(3). Let j(l) = -1 + l**s + w. Determine j(m(f)).
9*f**4
Let y(s) = -3*s. Let r(q) = q. Let z(c) = -9*c. Let k(d) = 51*r(d) + 6*z(d). Determine y(k(p)).
9*p
Let k(h) = -2*h**2. Suppose o = 6*o - 20. Let q(p) = p - o*p + 5*p. Give k(q(x)).
-8*x**2
Let j(o) = 5*o**2. Let y(t) = 11*t**2. What is y(j(z))?
275*z**4
Let i(s) = 3*s. Let m(f) = -2*f**2 - 2*f - 2. Let a(c) = -2*c**2 - 3*c - 3. Let u(h) = 2*a(h) - 3*m(h). Give i(u(o)).
6*o**2
Let o(j) = 2*j. Let w(h) = 1912*h**2. Calculate w(o(t)).
7648*t**2
Let h(q) = 11*q. Let u(z) = 100*z. Let n(d) = -28*h(d) + 3*u(d). Let t(o) = 3*o**2. What is n(t(m))?
-24*m**2
Let z(s) be the second derivative of -s**4/4 - s. Suppose -5*k = -2*a - 9, 2*k + 4*a + 3 = 21. Let i(g) = -k*g**2 + 0*g**2 + g**2. Determine i(z(n)).
-18*n**4
Let f(v) = v + 5. Let l(x) = 2*x + 6. Let q(d) = -6*f(d) + 5*l(d). Let u(h) be the second derivative of h**4/4 - 21*h. Calculate u(q(y)).
48*y**2
Let p(o) = 292*o. Let l(m) = -2*m. Determine l(p(i)).
-584*i
Let j(n) = -n**2. Let i(k) = 2*k**2 + 34*k + 8. What is i(j(t))?
2*t**4 - 34*t**2 + 8
Let m(i) = 104*i**2. Let h(d) = 4*d. Determine m(h(c)).
1664*c**2
Let s(n) = -8*n + 1. Let d(c) = 28*c + 2. Determine d(s(a)).
-224*a + 30
Let d(o) = -17*o + 2 + 32*o - 13. Let g(n) = -2*n - 1 + 7 - 6*n. Let s(r) = -6*d(r) - 11*g(r). Let a(k) = -k**2. Determine a(s(y)).
-4*y**2
Let a(z) = -4*z**2 + 58*z. Let w(h) = 4*h**2. Calculate a(w(o)).
-64*o**4 + 232*o**2
Let n(l) = 5*l. Suppose 0 = 7*u - 3*u - 20. Let j(d) = -15*d**2 + 9*d**2 + u*d**2. What is j(n(h))?
-25*h**2
Let c(o) = 3*o**2. Suppose -x = x - 22. Let q(j) = -3*j + 0*j - 4*j + x*j. Give c(q(h)).
48*h**2
Let d(f) = 0*f**2 + 0*f**2 - f**2. Let s(o) = -10*o. Give s(d(t)).
10*t**2
Let m(t) be the first derivative of t**4/12 + 5*t**2/2 + 2. Let k(c) be the second derivative of m(c). Let l(b) = -2*b**2 + 0*b**2 - 3*b**2. Calculate k(l(o)).
-10*o**2
Let o(j) = -7*j - 25*j + 2*j + 13*j. Let u(t) = -t**2 + t**2 + t**2. Determine u(o(n)).
289*n**2
Let q(v) = 2*v**2. Let p be (-2 - 2)*(-4)/8. Let t(s) = -192 + 192 - 21*s**p. What is q(t(o))?
882*o**4
Let v(a) = 2*a**2 + 15*a. Let j(h) = -4*h. Determine j(v(b)).
-8*b**2 - 60*b
Let b(t) = 3*t. Let z(m) = -8*m - 14. Determine b(z(w)).
-24*w - 42
Let k(c) = 2*c**2. Let h = -7 + 10. Suppose 0 = 4*t - 2*r - 30, 3*t - 27 = -0*r + h*r. Let d(n) = 3*n**2 + 6 - t. Calculate k(d(a)).
18*a**4
Let g(a) = -17*a**2. Let z(m) = -7*m**2. Give z(g(x)).
-2023*x**4
Let h(l) = -2*l. Let y be ((-6)/(-2) - -1) + 1. Suppose y*f - 11 - 4 = 0. Let v(m) = -4*m + f*m + 3*m. Determine h(v(a)).
-4*a
Let n = -18 + 20. Let v(z) be the second derivative of 1/6*z**4 + 0*z**n + 0*z**3 + 0 - 4*z. Let g(m) = -m**2. What is v(g(t))?
2*t**4
Let u(f) be the first derivative of 7*f**4/12 + 3*f - 2. Let j(n) be the first derivative of u(n). Let b(k) = -1 + 1 + 10*k**2 - 8*k**2. Determine b(j(m)).
98*m**4
Let u(b) = b. Let w(n) be the second derivative of n**3/6 - 3*n. Let g(y) = -2*u(y) + 4*w(y). Let s(a) = 4*a**2. Calculate g(s(x)).
8*x**2
Let b(l) = -21*l + 15. Let g(o) = 3*o - 2. Let z(n) = 2*b(n) + 15*g(n). Let d(h) be the first derivative of -h**2/2 - 1. What is z(d(m))?
-3*m
Let u(v) = 2*v - 8. Let m(y) = 7*y. What is m(u(q))?
14*q - 56
Let i(s) = -411*s. Let a(p) = -2*p**2. What is i(a(n))?
822*n**2
Suppose 1 = 5*g - 9. Let k(o) = g*o - 2*o + 2*o. Let l(s) = 7 - 2*s**2 - 4 - 3. Give l(k(b)).
-8*b**2
Let d(u) = 2*u**2. Let k(m) = -2345 + 3*m - 32*m + 2345. Calculate d(k(z)).
1682*z**2
Let j(l) = 2*l**2. Let i = 2 + 3. Let b(a) = 4*a - i*a - 6*a. Calculate b(j(u)).
-14*u**2
Let s(n) = -n**2 + 3*n**2 + 0*n**2. Suppose g - 5*c - 6 = -3*c, 5*c = -10. Let v(h) = -2*h**g + 0*h - 4*h + 4*h. Give s(v(k)).
8*k**4
Let b(x) = -x. Let l(v) = v**3 + 5*v**2 + 2. Let t be l(-5). Let m(g) = 5*g + 0*g - t*g. Calculate m(b(q)).
-3*q
Let x(l) = -6*l. Let m(s) = -48*s + 2. Determine x(m(z)).
288*z - 12
Let x(f) = -2*f**2. Suppose 0 = 2*g - 26 - 22. Let n(v) = -3. Let k(s) = s + 24. Let o(p) = g*n(p) + 3*k(p). Determine x(o(r)).
-18*r**2
Let c(k) = -65*k**2. Let b(f) = -f**2. Determine c(b(y)).
-65*y**4
Let d(z) = 1 - 3 - 3 + 4. Let w(a) = a - 3. Let t(q) = 3*d(q) - w(q). Let p(l) = -3*l. What is p(t(n))?
3*n
Let o(a) be the third derivative of 13*a**5/60 - 15*a**2. Let n(f) = 6*f - f - 3*f. Calculate n(o(u)).
26*u**2
Let v(s) = s**2. Let i(z) be the first derivative of 53*z**2/2 - 21. Give i(v(r)).
53*r**2
Let g(x) = -2*x. Let l(w) = 2*w - 6. Let b be l(4). Let m(y) = -y + 4*y**b + y. Calculate m(g(u)).
16*u**2
Let i(c) be the second derivative of 4*c**4/3 + 28*c. Let t(y) = 4*y. Give i(t(d)).
256*d**2
Let w(g) = -42*g**2 + 12*g - 12. Let l(a) = -17*a**2 + 5*a - 5. Let z(x) = 12*l(x) - 5*w(x). Let m(o) = -6*o. Calculate m(z(b)).
-36*b**2
Let r(y) = -3*y**2 - 2*y. Let f(t) = -16*t + 28 - 25*t**2 - 28 - t. Let j(c) = 6*f(c) - 51*r(c). Let q(g) = 2*g. Give q(j(n)).
6*n**2
Let v(k) = 118*k**2. Let f(r) be the third derivative of -r**4/24 + r**2 + 52*r. Calculate v(f(g)).
118*g**2
Let u(f) = -f. Let d(c) = -2*c - 203. Give u(d(w)).
2*w + 203
Let w(r) = -2*r. Suppose 5*p - 5*l - 5 = 0, -4*p + 0*l + 2*l = -6. Let a(v) = 3*v**p + 0*v**2 + 0*v**2. Determine a(w(u)).
12*u**2
Let s(x) = -47 + 4*x**2 + 47. Let h(c) = 4*c - 2. Let i(k) = -21*k + 11. Let n(j) = 11*h(j) + 2*i(j). Determine s(n(g)).
16*g**2
Let s(q) be the third derivative of q**5/30 - 5*q**2. Let z(c) = -6*c**2 + 16. Let l(i) = i**2 - | {
"pile_set_name": "DM Mathematics"
} |
*a - 6*a + a**2. Calculate w(-9).
-2
Let b = 61 - 59. Let u(t) = -2*t**2 + 2*t - 2. Determine u(b).
-6
Suppose x = 1 + 2. Let y(h) = -5*h**3 - 2*h**2 - 7*h - 1. Suppose 3*w - 22 + 1 = 0. Let l(z) = 2*z**3 + z**2 + 3*z. Let m(a) = w*l(a) + x*y(a). Calculate m(0).
-3
Let m(a) = -4*a**2 + a + 1. Let n(x) = -x**3 - 2*x**2 + 2*x - 1. Let w be n(1). Let z be 2*w*(-3)/(-12). Calculate m(z).
-4
Let p(k) = 4*k**2 - 4*k + 3. Let o(v) = v**2 - 7*v + 8. Let d be o(6). Let w be p(d). Suppose 1 - w = 2*f. Let j(i) = -i**2 - 4*i + 4. Calculate j(f).
-1
Let d(r) = -6 - 3*r - r**2 + 0*r**2 + 8*r**3 - 4*r. Let x(i) = -7*i**3 + i**2 + 6*i + 5. Let p(s) = 4*d(s) + 5*x(s). Determine p(-1).
3
Suppose 18 = j + 5*q, 11*j + 4 = 15*j + 3*q. Let r(x) = 5*x**2 + 3*x + 3. Determine r(j).
17
Let b(d) = -9*d**2 + 4*d - 1. Let l(z) = 18*z**2 - 9*z + 3. Let g(v) = 5*b(v) + 2*l(v). What is g(-1)?
-10
Let i = -6 + 10. Let c(g) be the second derivative of -1/4*g**4 - 2/3*g**3 + 1/20*g**5 + 0 + 3*g**2 + 4*g. What is c(i)?
6
Let y(q) = q - 2. Suppose 5*h + d - 37 = 18, 0 = -4*d. Suppose 5*g = 4 + h. Let p be y(g). Let a(k) = -6*k**3 + k**2 + k - 1. Determine a(p).
-5
Let a(i) = 8*i**3 - i + 1. Let x be ((-9)/(-6))/((-3)/(-2)). Determine a(x).
8
Let s(m) = -4*m**3 - 10*m**2 - 4*m + 2. Let c(z) = z**3 + z**2 + z. Let i(l) = 5*c(l) + s(l). What is i(2)?
-8
Let q(x) = 5*x + 4. Suppose -8*v - 22 = 10. Give q(v).
-16
Let l = 0 - -1. Let a be (-2)/(0 - (l - -1)). Let o(p) = 3*p**3 + p. Let n be o(a). Let j(y) = 3*y - 5. Determine j(n).
7
Let o(b) be the first derivative of b**5/12 - b**3/6 - b**2/2 - 1. Let p(u) be the second derivative of o(u). Let t = 3 + -2. Give p(t).
4
Let w(p) = p**3 + 6*p**2 - 4. Let o = -27 - -16. Let g = o + 5. Determine w(g).
-4
Let y(m) be the first derivative of 1/4*m**4 - 7*m - 2*m**3 + 8 + 1/2*m**2. Give y(6).
-1
Let m(z) = -7*z**2 + 20*z**2 + 7 + z - 12*z**2. Determine m(0).
7
Let o(a) = 2*a**2 + 2*a + 1. Suppose -i + 10 = 4*x + i, 0 = 5*x - i + 5. Suppose -3*v - 2*v - 10 = x. What is o(v)?
5
Suppose -2*x + 5*x = 12. Let m(v) = 6*v**2 + v - 9. Let r(g) = 7*g**2 + 2*g - 10. Let y(z) = 6*m(z) - 5*r(z). Calculate y(x).
-4
Let y(u) = -u. Let z = 7 + -7. Let w = z + -3. Give y(w).
3
Suppose 2*u = 10 + 212. Let k be 4/14 - u/21. Let o(a) = -a**2 - 7*a - 6. What is o(k)?
4
Let f(r) = -r**3 - 8*r**2 + 9*r - 4. Let d(s) = 2*s**3 + 15*s**2 - 17*s + 8. Let m(x) = 4*d(x) + 7*f(x). Give m(-5).
4
Let r be 8/3*(-66)/44. Let p(s) = -4*s + 1. Let h(a) be the second derivative of 5*a**3/6 - a**2/2 + a. Let w(i) = -5*h(i) - 6*p(i). Calculate w(r).
3
Let t(j) = -1 + 3 + 3*j - 3 + j**2. Let q be t(-4). Let x be (2 - q)*(-5)/1. Let i(d) = -d - 2. Calculate i(x).
-7
Let s(z) be the first derivative of -z**6/360 - z**4/8 - z**3 - 5. Let j(t) be the third derivative of s(t). Give j(0).
-3
Let b(n) = n**2 + 6*n + 1. Suppose 4*t - 2*t + 22 = 0. Let k = t - -5. Let a = k - -3. Calculate b(a).
-8
Let j be (-2 - -4) + (-4)/2. Let o(m) = 5 - m + 1 + 0. Calculate o(j).
6
Let p(j) = 1 + 3*j - 4*j + 23*j**2 - 14*j**2 - 2. What is p(-1)?
9
Let h(m) = -m + 13. Let r be 1 - 4 - 1 - -1. Let f be (9/(-6))/(r/14). Calculate h(f).
6
Let l = -6 + 11. Let g = l + -5. Suppose -u - 1 + 0 = f, u - 5 = g. Let o(i) = i**3 + 6*i**2 - i - 4. Determine o(f).
2
Let z be -22*((-5)/(-2) + -3) + -3. Let d(g) = g**2 - 7*g. What is d(z)?
8
Suppose 5*z = -23 - 2. Let j(k) = -k**2 - 6*k + 1. Calculate j(z).
6
Let w be -1*(-1)/(-3)*-3. Let n(x) = -7*x**2 - 4*x + 3. Let u(a) = a**2 - a + 1. Let t(o) = -n(o) + 2*u(o). Give t(w).
10
Let r(t) = -t**3 + 6*t**2 - 2. Let w be r(6). Let a(j) = -j**3 - 4*j**2 + 3*j + 3. What is a(w)?
-11
Let j(f) = -11*f**2 - 7*f + 6. Let c(h) = -5*h**2 - 3*h + 3. Let p(i) = -9*c(i) + 4*j(i). Determine p(3).
3
Let k(v) = v**3 - 3*v**2 + 5*v - 3. Let a(l) = -14*l - 14. Let y(w) = 5*w + 5. Let h(o) = 6*a(o) + 17*y(o). Let q be h(2). What is k(q)?
12
Let m(w) = w**2 - 7*w + 6. Let y be 2 - ((-6)/(-4)*4)/(-1). Give m(y).
14
Suppose k - 3 = 4*k. Let q(j) = -7*j. What is q(k)?
7
Let k(g) be the second derivative of g**4/4 - g**3/3 - g**2/2 - 6*g. Calculate k(-1).
4
Let m be -1 - -1 - 0/(-1). Let r(o) = 7*o + 17. Let b(l) = -20*l - 50. Let i(p) = p**2 + 7*p - 5. Let n be i(-4). Let s(k) = n*r(k) - 6*b(k). Give s(m).
11
Let y = -115 - -119. Let c(b) = b**2 - 6*b. Give c(y).
-8
Let q(m) be the second derivative of m**3/6 - 2*m**2 - 5*m. Let r(x) = -x - 2. Let c be r(-8). Calculate q(c).
2
Let v(i) = -4*i**3 - 4*i**2 + 5. Let w(l) be the third derivative of -l**6/120 - l**5/60 + 4*l**2. Let t(f) = -v(f) + 3*w(f). Let u = 2 + -2. Determine t(u).
-5
Let t(i) = -i - 4. Let s = -19 + 29. Suppose -3*o = -o + s. What is t(o)?
1
Let r be (2 - 0)/((-3)/96). Suppose -6*g + 3*g + 3 = 0. Let p be g/(-3) + r/(-12). Let x(t) = t**3 - 4*t**2 - 5*t - 7. Determine x(p).
-7
Let i(b) = 2 - b**2 + 2*b**2 + 0. Suppose -w = -w - 3*w. What is i(w)?
2
Let s(b) = b**2 + 2*b + 2. Let p(n) = n**3 + 10*n**2 + 8*n - 11. Let h be p(-9). Let i be s(h). Let j(x) = 4*x + i + 1 + x**2 + x. Give j(-3).
-3
Let k = -10 + 13. Let r(o) = 2*o - o + 8*o + 2 - k. What is r(1)?
8
Let a be (1/4)/(2/8). Let r = a + 2. Let s(y) = 2*y**3 - 3*y + 2*y**r + 5*y**2 - 5*y**3. Calculate s(4).
4
Let b be 12*(10/4 + -2). Let z(f) be the first derivative of f**3/3 - 2*f**2 - 2*f + 7. Determine z(b).
10
Let a(j) = 7*j**2 + 5*j + 1. Let d(w) = 6*w**2 + 5*w. Let x(n) = 5*a(n) - 6*d(n). Suppose c + 3*c = -24. Determine x(c).
-1
Let o = -4 + -2. Let x(p) = -p**3 - 7*p**2 - 7*p - 5. Calculate x(o).
1
Let v(g) = -g**3 + 6*g**2 - 6*g + 2. Let j be ((-18)/(-24))/(6/40). Determine v(j).
-3
Let x(t) = -21*t - 25*t + 49*t + 3. Suppose -q + 5 - 1 = 0. Suppose -5*m - q*s = 16, 10 + 11 = -4*m + 5*s. Calculate x(m).
-9
Let g = 139/3 - 46. Let f(l) be the first derivative of 4*l - 1 - g*l**3 - 2*l**2. Give f(-5).
-1
Let w(c) = 0 - c**2 + 6*c - 8 + 1 + 2. Give w(4).
3
Let h(m) = 5*m**2 - 5. Let x(g) = -6*g**2 - g + 6. Let n(k) = 5*h(k) + 4*x(k). Calculate n(5).
4
Suppose -j - 4 + 19 = 0. Let i(c) = j*c + 5 - 2*c**2 + 3*c**2 - 8*c. Calculate i(-5).
-5
Let t(h) = -h. Let z(o) = -o**3 + 5*o**2 + 3. Let r be z(5). Let w = 4 - r. Let j(c) = -c**2 - 3*c + 3. Let q(x) = w*j(x) + t(x). What is q(2)?
-9
Let b(n) = n**3 + 6*n**2 + 6*n. Let a be b(-5). Let h(x) = -3*x**3 - 5*x**2 + 2. Let t(c) = -4*c**3 - 5*c**2 + 3. Let l(k) = a*h(k) + 4*t(k). Determine l(5).
2
Let c be 0 - 2 - 1*2. Let s(d) = 2*d**2 + 11*d - 5. Let z(w) = -2*w**2 - 12*w + 6. Let v(r) = 6*s(r) + 5*z(r). Calculate v(c).
8
Let z(i) = -i**3 + i**2 - i + 6. Let o be (1 - (2 - 1)) + -2. Let f be o + (18/3)/3. Give z(f).
6
Suppose -t = -2 - 4. Let f(r) = -9*r - 13. Let h(b) = -5*b - 6. Let g(d) = t*f(d) - 11*h(d). Suppose 0*a = -3*a. What is g(a)?
-12
Let d(v) = -v**2 + v + 5. Let f = 5 - 2. Suppose j = -f*j. Give d(j).
5
Suppose -48 = -5*b - 13. Suppose 0 = -3*l - 5*q + q + b, -5*q = 2*l - 14. Let u(t) = t - 2. Determine u(l).
-5
Let y(r) be the first derivative of r**4/4 + 4*r**3/3 - 3*r**2/2 + 5*r - 1. Let o(w) = 13 + 3*w**2 + 33*w - 22*w - 2*w**2. Let j be o(-9). Give y(j).
-5
Let m(q) = -q + 1. Suppose 2*n - 6 = -0. Calculate m(n).
-2
Let s(m) = m**3 - 2*m**2 - m - 2. Suppose -12 = -3*i, 5*o = -4*i + 5 + 36. Suppose 0 = -4*r - r + o. Let a be -1 + 5 + (r - 2). Determine s(a).
4
Let k(m) = 4*m**2 - 2*m - 5 + 10 - 8*m**2 + m**3 + m. Determine k(4).
1
Let r(n) = 6*n**3 + n - 1. Suppose 0 = -6*u + 3*u + 15. Suppose -3 = 2*q - u. Let l be r(q). Let o(f) = f - 3. What is o(l)?
3
Suppose 0 = 4*d - 2 + 14. Suppose -3*j = 2*j - 35. Let q(x) = 2*x - 9. Let s(w) = -5*w + 19. Let t(c) = j*q(c) + 3*s(c). Determine t(d).
-3
Let n = -3 - 4. Let h(z) = -5 - z + 2*z + z**2 + 4*z - 1. Let p(s) = -s**2 - 5*s + 7. Let d(i) = n*h(i) - 6*p(i). Determine d(-5).
0
Let r be 3/(-6) + (-2)/4. Let b(y) = -y**2 - y. Let i(q) = 3*q**2 + 11*q. Let m(u) = r*i(u) - 4*b(u). Give m(4).
-12
Let p = -29 + 30. Let m(x) = -x - 7 + 4 - p. Suppose -5*i - 4*s = 1 - 28, -3*s + 18 = 3*i. Give m(i).
-7
Suppose 2*w - 4*w = -d - 5, -10 = w - 3*d. Let m(y) = -y**3 + 6*y**2 - 5*y + 1. Give m(w).
1
Let g(u) = -u**2 + 11*u + 12. Let m be g(9). Suppose -5*t + 10*t - m = 0. Let k(h) = 0*h**3 - t*h**2 - h**3 + h - 2 + 3*h**2. Calculate k(-3).
-5
Let o(t) be the th | {
"pile_set_name": "DM Mathematics"
} |
(-6)/(-7)*(28/6 + -5). What is the second smallest value in w, c, y?
y
Let j = -156 - -156. Which is the smallest value? (a) 3 (b) 4 (c) j
c
Let s = 15.3 - 16. Let a = s - -0.4. Let h = 1/320 + 63/320. What is the second smallest value in 1, a, h?
h
Let g(i) = -i**3 - 3*i**2 + 3*i - 4. Let r be g(-4). Let s = -589/70 - -41/5. Which is the second smallest value? (a) 0.4 (b) s (c) r
c
Let l be ((-4 + 4)/2)/(-4). Let h be l/3 + -4 + 9. Let g be h + (3 - 12/3). Which is the biggest value? (a) g (b) 0.5 (c) -4
a
Let q be (-1)/3*0 - 36/18. What is the biggest value in 13/6, 5, q?
5
Let o be -2*(-8)/(-18)*(-6)/(-8). What is the smallest value in 4/5, 5, -40, o?
-40
Let o be 1 + 0 + (2 - 59). Let p be 1/3 + o/24. Let n be (7/21)/(2/p). Which is the third smallest value? (a) n (b) -1/10 (c) -2
b
Let v be 3*(-3 + (264/(-9))/(-8)). Let n = 7 - 6. Which is the biggest value? (a) v (b) -0.2 (c) n
a
Let j = -249 - -239.4. What is the third biggest value in -0.5, j, -4?
j
Suppose u + 607 = -2*j, -2990 = 5*u - 3*j - 2*j. Which is the biggest value? (a) u (b) -1 (c) 0.2
c
Let i be (-80)/(-140)*(-21)/(-6). Which is the second biggest value? (a) i (b) -22 (c) -3
c
Let w = -112/3 + 37. Let q = 0.801 + -0.301. What is the third smallest value in q, 1/6, w?
q
Let z be (738/1312)/(-1 + (-2)/4). Which is the third biggest value? (a) -0.4 (b) z (c) 19
a
Let v = -0.7 - -1. Let d = 0.4 - 6. Let j = d + 0.6. Which is the biggest value? (a) j (b) 0.5 (c) v
b
Let l = 0.243 - -0.157. What is the smallest value in -1, l, -8?
-8
Let p(j) = -j**3 - 12*j**2 + 80*j - 88. Let w be p(-17). Let k = 0.2 - 0. Which is the second smallest value? (a) k (b) w (c) -5/7
c
Let o = 2358 + -2353. What is the second biggest value in -3, 1/15, o, 4?
4
Let p = 1156 + -1158. Let w = -0.36 + 0.06. Let o = w - -0.1. Which is the third smallest value? (a) o (b) 3/5 (c) p
b
Let d = -2 + 34. Let o = 36 - d. What is the fourth smallest value in -3/4, 1/2, -4, o?
o
Let o = -20.4 + 19. Let a = -0.4 - o. What is the smallest value in -2, a, -2/15?
-2
Let b be ((-16)/30)/(76/(-190)). What is the third smallest value in -60, b, -1/6?
b
Let t = -44 + 44.148. Let a = -5.068 + t. Let z = a + -0.08. What is the biggest value in 0.4, z, 0.2?
0.4
Let o = -39 - -38.66. Let l = -0.04 - o. Let q = -1.8 + -0.2. What is the third smallest value in l, q, -5?
l
Let g = 1.3 - 0.8. Let k = g + -0.1. Let d = -0.03 - 0.37. Which is the third biggest value? (a) d (b) k (c) 2
a
Let m = 0.73 - -80.27. Let f = m + -80.5. Which is the third smallest value? (a) -2 (b) f (c) 0.08 (d) 2/9
d
Let d = -93 + 92.9. Suppose 15 + 39 = -3*w. What is the third biggest value in d, w, 2?
w
Let l = 2 + -2.5. Let y = 30 + -16. Let n = 10 - y. Which is the biggest value? (a) n (b) 1/3 (c) l
b
Let x = -89.5 - -89. Let z = -0.01 - -0.01. Which is the smallest value? (a) z (b) -3 (c) x
b
Let q be (-320)/(-25)*(-5)/(-2). Let t = q - 35. What is the second smallest value in t, -4, -1/8?
t
Let x = -1.9 + 0.6. Let s = 0 + 0. What is the third smallest value in -1, x, s?
s
Let s = 0.27 + -2.87. Let c = s + 3. Let u = 1160.4 - 1161. What is the biggest value in c, u, -4?
c
Let u be 1/(2 - 10/4). What is the smallest value in -5/2, u, -1/6?
-5/2
Suppose 0 = 4*g + 4*p - 12, -5*g + 3*p + 5 = -g. Let j be 0 + g - (-11)/(-6). Let f = 448 - 454. What is the second biggest value in 3, f, j?
j
Let l = -1195 + 1192. Which is the fourth biggest value? (a) -1/6 (b) -77 (c) l (d) -5
b
Let i be 14 + (-9 + 10)/(1 - 0). Suppose 9*q = -i - 12. Which is the third biggest value? (a) 0.4 (b) q (c) -2 (d) -0.03
c
Let g be (7 + (-75)/10)*0. What is the biggest value in 7, g, 0.4, -3/2?
7
Let k = 301 - 278. Which is the second smallest value? (a) k (b) 2/19 (c) -5/3
b
Let y = -59 - -1241/21. What is the fourth smallest value in y, -2/17, -2/9, 0.4?
0.4
Let h = 174.2 - 174. Which is the third smallest value? (a) 19 (b) -5 (c) h
a
Let g = -0.0085 - -0.0085. Which is the biggest value? (a) 3 (b) g (c) -9 (d) 2
a
Let m = -44 - -41.7. Let s = 2.1 + m. Let q = -27/2 + 13. Which is the smallest value? (a) q (b) s (c) -2
c
Let l = -348.9 + 349. Which is the second biggest value? (a) 0.2 (b) -0.005 (c) l (d) 0
c
Let r be -4*(-2)/(-2) + 110/45. What is the second biggest value in r, -0.04, 2/9?
-0.04
Let s = -246 - -246.1. Which is the third biggest value? (a) s (b) 4 (c) -1.8
c
Let q(n) = -n**2 - 4. Let f be q(0). Let s be (-11)/(-2) - 4/8. Which is the third smallest value? (a) f (b) s (c) 0
b
Let y = 0.5 + -0.1. Let s be (-7)/(-14) + (-23)/2 + 3. Let v be (2/s)/(385/120 + -3). Which is the third smallest value? (a) y (b) v (c) -2
a
Let o = -6 - -6.1. Let i = -1.1 + o. Let x = 2 - i. Which is the second smallest value? (a) 1 (b) x (c) -1/8
a
Suppose -5*z = 2*n - 7*n - 30, -n = 5*z - 6. Let c = -105 - -106. What is the second smallest value in 2/9, z, c?
c
Let u = -11/3 - -10/3. Let v = 93 - 51. Let p be 14/24 - 14/v. Which is the second smallest value? (a) u (b) p (c) -0.5
a
Let r = 2591/346 + 2/173. What is the second smallest value in 0.5, r, 0.1, -3/7?
0.1
Let b = -0.02 - -1.02. Let i = -74/5 + 15. Let n = 7/15 + i. What is the biggest value in b, n, -0.4?
b
Let g = 0.2 + -0.5. Let x be -4*-1*2/4. Let k be (1/5)/(1/x). Which is the biggest value? (a) g (b) k (c) 5
c
Suppose -53*x = -86*x + 33. What is the second smallest value in 0.1, -0.2, x, -2/11?
-2/11
Let u = 0.399 - -1.831. Let h = u + -0.23. Let i = -0.1 - 3.9. What is the smallest value in 1/12, h, i?
i
Let w = 4.5 - 7.2. Let h = -5.7 - w. Let v = 5.6 - 6. What is the third smallest value in v, -6, h?
v
Let f = 20 + -21. Let g be 1 + f + (22/4 - 4). Which is the second smallest value? (a) g (b) 6 (c) -0.5
a
Let r = -103/69 + 42/23. Let j = 0.36 + -0.46. What is the biggest value in r, -8, j?
r
Let o = -0.09 + -0.01. Let n = o + -0.7. Suppose 0 = -7*c + 3*c. What is the second biggest value in c, n, -2/5?
-2/5
Let x = -1.072 - -0.072. Let j be (52/78)/((-14)/(-6)). Which is the third smallest value? (a) j (b) -6/5 (c) x
a
Let w be ((-8)/(-6))/(((-8)/(-1668))/1). Let l be 6/4 - (w/52 - 4). Which is the biggest value? (a) 0.2 (b) -13 (c) l
a
Let y = -3.97 + -0.03. Suppose 244 = 4*s - 232. Let t be -1*4 + 442/s. What is the second smallest value in 0.4, y, t?
t
Let u = 0.06 + -2.06. Which is the smallest value? (a) u (b) 1/3 (c) 46 (d) -1
a
Suppose -26*t + 152 = -22*t - 5*r, -r = -3*t + 103. Which is the third biggest value? (a) t (b) 0.4 (c) 0.3
c
Let t = -6.7 - -7. Let j = 5561 - 5559. Which is the fourth biggest value? (a) t (b) 0.4 (c) j (d) -5
d
Let o = -0.023 + 33.023. Let x = -32.6 + o. Which is the biggest value? (a) -0.4 (b) 4 (c) x
b
Let t be 2/(-8) - 1/2. Let l be 0 - (1 - 0 - -51). Let j be 7/35 - l/(-10). Which is the biggest value? (a) j (b) -1 (c) t
c
Let d = -45.1 + 47.1. What is the third biggest value in -10/3, d, 2/5, 0?
0
Let c = 6.9 - 7. Suppose -q + 5 = -6*q. Let y = -74 - -78. What is the smallest value in c, y, q?
q
Suppose 0 = -3*f - u + 7, -3*u + 7 = 2*f - 7. What is the third smallest value in 2/53, f, -5?
f
Let m be (-1)/6*80/120. Which is the fourth smallest value? (a) 2/7 (b) m (c) 1 (d) -0.5
c
Let k(m) = -m**2 + 17*m - 1. Let l be k(0). Which is the smallest value? (a) -0.053 (b) 1 (c) l (d) 0.1
c
Let q = -39.06 - 0.94. Let w = q - -42. What is the third biggest value in w, -6, -4?
-6
Let b(j) = j**3 - 3*j**2 + 4*j - 3. Let t be b(2). Let u = 2.0689 - 1.9689. What is the fourth biggest value in 1/3, u, t, 0.18?
u
Let v = -43/150 + 3/25. Which is the third smallest value? (a) 3 (b) -5 (c) v
a
Suppose -10 = -5*k - 0. Suppose 33 - 9 = k*l. Suppose 10 = -5*f - 3*y, 4*f + 3*y - 1 = -l. What is the second smallest value in -2/19, f, -4?
-2/19
Let j = 425 + -429. What is the third smallest value in -2/7, j, 0.005?
0.005
Let t = 63 - 62.92. Let u = t - 0.48. What is the fourth biggest value in 2, u, 0.1, 1/5?
u
Let r = -21.9 - 2.5. Let x = -24 - r. Which is the third biggest value? (a) -0.02 (b) x (c) 4
a
Let v be 1/(10/(-4) + -2). Suppose 0 = -3*w + 2*d + 583, 0 = -3*w - 0*d + d + 578. Let o = w - 2100/11. Which is the third biggest value? (a) 0 (b) o (c) v
c
Let i = | {
"pile_set_name": "DM Mathematics"
} |
ors of b(-3)?
2
List the prime factors of (1/(-4))/((-6)/552).
23
Let p = -26 + 37. List the prime factors of p.
11
Let b be 150/35 - (-2)/(-7). Let q be (1 + -2)/(b/(-12)). Suppose q*p + 2 - 29 = 0. What are the prime factors of p?
3
Suppose 0 = -2*k + k + 4. Suppose 0 = -5*w - k*h + 102, -10 = -3*w - 3*h + 53. What are the prime factors of ((-4)/(-12))/(2/w)?
3
Let t be 3/(-4) - 95/(-20). Suppose t*n - 2*n + 650 = 0. What are the prime factors of n/(-35) + (-4)/14?
3
Suppose -6*o = 4*o - 1610. What are the prime factors of o?
7, 23
Let g(i) = -i**3 + 2*i**2 - i - 1. Let z be g(2). Let x be 0/(z/1)*1. List the prime factors of (-9 + 0)/(-1 + x).
3
Suppose -2*w - 2*l = 3*w - 293, 3*l = 5*w - 273. What are the prime factors of 6/(-15) + w/5?
11
Let d = 6 + -12. Let t(f) = -f**3 - 2 + 6*f + f - 5*f**2 - 2*f. What are the prime factors of t(d)?
2
Suppose -4*f - o + 40 = 0, 2*o - 7 = -f + o. Suppose -5*g - f = -3*x - x, g - 50 = -5*x. Let v = -6 + x. What are the prime factors of v?
3
Suppose -11*x - 294 = -13*x. What are the prime factors of x?
3, 7
Let h(c) = -29*c - 5. Suppose -4*i + 0 = 8. List the prime factors of h(i).
53
Let p(h) = h**3 + 7*h**2 + 2*h + 2. Let v be p(-7). What are the prime factors of (-159)/(-12) - (-3)/v?
13
Suppose 5*s + 16 - 1 = -g, 5*g + 75 = s. What are the prime factors of (-1)/((g/(-24))/(-5))?
2
What are the prime factors of 2/3*(-477)/(-6)?
53
Let q(f) = f**3 - 15*f**2 - 12*f - 4. List the prime factors of q(16).
2, 3, 5
Suppose -4*t + 1316 = 3*o, 0*t + 2*o = 3*t - 1004. Let r be ((-2)/4)/((-2)/t). Suppose 5*w = r - 3. List the prime factors of w.
2
Let o = -11 + 13. Suppose -o*v = 4*q - v - 105, v = 2*q - 51. What are the prime factors of q?
2, 13
Suppose 0 = b - 165 + 53. What are the prime factors of b?
2, 7
Suppose -4*n - 80 = n. Let b = 33 + n. List the prime factors of b.
17
Let v(n) = 25*n - 4. Let p(m) = -25*m + 5. Let t(w) = -3*p(w) - 4*v(w). What are the prime factors of t(-1)?
2, 13
Suppose 9 = -2*m + 3*m. Suppose -y + 6 = 5*j, -2*y + 3 = 2*j - m. What are the prime factors of (-3)/y + (-46)/(-4)?
11
Let y = -9 - -13. Suppose 0 = 3*k + 5 + y. List the prime factors of (0/(-1) - k)*2.
2, 3
Let b(t) = t**2 - 12. Let z(q) = 2*q**2 - 24. Let g(v) = -13*b(v) + 6*z(v). What are the prime factors of g(0)?
2, 3
What are the prime factors of 1 - (-1 + (0 - 21))?
23
Let g(n) = -n**2 + 5*n + 7. Let q be g(6). Let s = q + 3. Suppose -4*v - s = -48. What are the prime factors of v?
11
Let b = 132 - -21. What are the prime factors of b?
3, 17
Let n(i) = i**2 + 5. Suppose g = -p - 1, -2 = 3*g - p + 1. Let w = 1 + g. What are the prime factors of n(w)?
5
Suppose -2*a + 2*i = 0, -5*a - 2*i + 6*i - 1 = 0. Let n(g) = -14*g + 1. What are the prime factors of n(a)?
3, 5
Let w(r) = r + 9. Let u be w(-7). Let c(a) = 3*a - u*a - 6 + 4*a. List the prime factors of c(4).
2, 7
Let l(w) = -w**2 + 7*w + 21. Let y be l(7). Let j = y - 0. What are the prime factors of j?
3, 7
Suppose 0 = v + 3*p + 9, 4*v + 8*p - 3*p + 57 = 0. Let u = -13 - v. List the prime factors of u.
5
Let g(l) = 2*l**3 - 7*l**2 - 2*l + 18. List the prime factors of g(6).
2, 3, 31
Suppose -8*r = -3*r - 40. Suppose 3*h + r = 7*h. Suppose -3*a = 2*b - 25, -5*b = -5*a + h*a + 32. What are the prime factors of a?
3
Let r = -6 + 8. Let p = 1 + r. List the prime factors of p.
3
Suppose 2*r - 118 = 2*n, -n = -5*r + 322 - 27. What are the prime factors of r?
59
Suppose o = 2*u + 62, o - 2*u - 224 = -3*o. List the prime factors of o.
2, 3
Let p be 0*(-3)/(-9) + 6. Suppose 3*x - 45 = -p. List the prime factors of x.
13
Let b be 6/15 - (-96)/10. Let q = b + -5. Suppose -53 = -q*y + y - 5*u, 4*y + 2*u = 38. What are the prime factors of y?
7
Suppose -9*o = -0*o - 54. What are the prime factors of o?
2, 3
Let k be 12/(-15)*10/(-4). Suppose 2*r + k = 3*r. Suppose -h + 36 = 4*g, r*h + 2*g = 6*g + 24. What are the prime factors of h?
2, 5
Let y be (-1 - 11)*(-2)/4. What are the prime factors of 12 - ((y - 3) + -2)?
11
Let m(k) = -5*k + 4. List the prime factors of m(-6).
2, 17
Let f be (12/8)/(2/12). Let x = 17 - f. What are the prime factors of x?
2
Let h = -9 - -44. List the prime factors of h.
5, 7
Suppose -2*q - 50 = -4*q. Suppose -4*k = 4*i - q - 35, -3 = -k - 4*i. What are the prime factors of k?
19
Suppose 5*k = 2*k + 180. Suppose -3*t + 3*x = -k, t + x + 0*x - 26 = 0. What are the prime factors of t?
23
Suppose 25 = -0*i - 5*i. Let b be ((-2)/i)/(3/15). List the prime factors of b + -2*(-22)/4.
13
Let m be (0*2/6)/(-2). Suppose m = -4*g + 3*s - 4 + 64, 0 = -4*g + s + 52. What are the prime factors of g?
2, 3
Let k(u) = -u - 1. List the prime factors of k(-3).
2
Let h = 304 + -761. What are the prime factors of h/(-8) - (-1)/(-8)?
3, 19
Let f(c) = -c**3 + 6*c**2 + 13*c - 6. Let x be f(9). What are the prime factors of x/15*10/(-4)?
2, 11
Let w(u) = 11*u**2 - u - 4. Let o be w(2). Let x = o - 16. List the prime factors of x.
2, 11
Suppose 4*p + 2*r = 82, 3*p = 3*r + 42 + 15. Let a = 42 - p. What are the prime factors of a?
2, 11
Suppose 3*m - 6*m + 5*i + 177 = 0, -335 = -5*m - 5*i. What are the prime factors of m?
2
Let y(h) = -h**2 - 4*h + 4. Let o be y(-4). Suppose -2*d - d + 221 = 5*b, -o*b = -d - 170. What are the prime factors of b?
43
Suppose -2*j + 50 = 3*j. What are the prime factors of j?
2, 5
Let t(b) = -b**2 + 12*b + 14. List the prime factors of t(10).
2, 17
Suppose -7 = 5*v + 4*z - 2, 4*v + 3*z = -5. Let m be (v/(-2))/(2/4). Suppose -5*u + m = -15. List the prime factors of u.
2
Let o = -11 - -20. Suppose 5*g = 4*g + 2. Suppose -q - g*h + 17 = 0, o*h = -q + 4*h + 29. List the prime factors of q.
3
Let z(p) be the first derivative of p**3/3 + p**2 - 4*p + 1. Let c be z(6). Suppose 0 = -3*s - 5 + c. List the prime factors of s.
13
Let x(k) = -6*k - 1. Let l be 3*1*1/(-3). Let p be x(l). Suppose -1 = -g - 5*b, 0*g + p*g = -5*b + 85. List the prime factors of g.
3, 7
Let c = 9 + 25. What are the prime factors of c?
2, 17
Let l = -221 + 434. What are the prime factors of l?
3, 71
Suppose g = 9 + 67. What are the prime factors of g?
2, 19
Let s be 6/1*(3 + -1). Let p = -4 + s. List the prime factors of p.
2
Suppose -3*k = n - 4*k - 58, 5*k + 184 = 3*n. What are the prime factors of n?
53
Suppose -3*v = 3*i - 189, -317 = -5*v - 6*i + 3*i. Let f = 93 - v. What are the prime factors of f?
29
Let f(j) = -j**3 - 7*j**2 + 5*j - 1. Let b = -11 - -4. Let q be f(b). Let w = 55 + q. List the prime factors of w.
19
Let j = -37 - -21. Let f = 22 + j. What are the prime factors of f?
2, 3
Suppose -6*m + 125 = -m. What are the prime factors of m?
5
Let g(j) = -j**2 + 6*j - 3. Let i be g(5). Suppose 0 = i*y - y. Suppose y*w + 7 = w. List the prime factors of w.
7
Let n = 0 - -3. Let p be ((-4)/5)/(n/(-30)). What are the prime factors of (-16)/p*5/(-1)?
2, 5
Suppose 4*j + 0*a - 5*a - 33 = 0, 0 = 5*j + a - 5. Suppose -28 = -j*f - 0*f. What are the prime factors of f?
2, 7
Let k(q) = -2*q - 12. Suppose 2*b + 14 = -2. Let s be k(b). List the prime factors of s*5/((-10)/(-3)).
2, 3
Suppose y - 58 = b, 0 = -3*y - 4*b - b + 134. List the prime factors of y.
53
Suppose -2 = -3*q + 1, 25 = 4*s + 5*q. Let i = s + -4. Let c(g) = 7*g**2 - g. What are the prime factors of c(i)?
2, 3
Let c be (1 + 2)/3*-7. Let w = -2 - c. What are the prime factors of w?
5
Suppose 0*c - a - 16 = 3*c, -7 = 2*c - 3*a. Let v be (0 + -1 - -1) + c. Let b(h) = -h**3 - 5*h**2 + 5. What are the prime factors of b(v)?
5
Suppose -3*q + 2*q = -2. Let w(o) = -2*o**q - 4*o**2 - 9 - 2*o - 3*o + 7*o**2. List the prime factors of w(8).
3, 5
Let l be (-4)/(-2) + (-90)/(-1). List the prime factors of 12/28 - l/(-14).
7
Let j be (1 - -13) + 2*1. Suppose -2*u = 2*v - j, 0*u + v = 5*u - 64. List the prime factors of u.
2, 3
Suppose -5*i - 2*s + 6*s + 73 = 0, 4*i + 5*s = 83. List the prime factors of i.
17
Let n be 1 - 11*(-2 + 1). Suppose 2*u = 3*u - n. List the prime factors of (-3)/u - 34/(-8).
2
Suppose 4*s = 2*q - 52, 5*s - 8 - 17 = 0. List the prime factors of q.
2, 3
Let x be -1 + 58 + 1 + 2. What are the prime factors of ((-16)/(-5))/(8/x)?
2, 3
Let k(j) = j**3 + 13*j**2 + 10. List the prime factors of k(-13).
2, 5
What are the prime factors of ((-17)/(-2)*12)/1?
2, 3, 17
Let p be 1 - (1*75 - -2). Let y = 1 + 8. List th | {
"pile_set_name": "DM Mathematics"
} |
m - u + 389. List the prime factors of m.
3, 5, 13
Suppose -5*a - 51992 = -g, -48*g - 103984 = -50*g + a. What are the prime factors of g?
2, 67, 97
Let u = 22381 + 9510. List the prime factors of u.
31891
Suppose 3*q + 0*r = 2*r + 3065, 0 = 2*q - 2*r - 2042. Suppose -q = -3*b - 0*b. What are the prime factors of b?
11, 31
Let p be 176/33 + 4/(-3). Suppose -12*b - 533 = -14*b - 3*f, p*f - 274 = -b. What are the prime factors of b?
2, 131
Let w(s) = -19*s + 63. Let h be w(6). Let l = h + 92. Let g = 238 - l. List the prime factors of g.
197
Let l = -391 - -799. Let h(a) = -a**3 - 3*a**2 + 2*a - 3. Let n be h(-4). Suppose -n*b - l = -4*p, -5*p + 408 = -p + 2*b. What are the prime factors of p?
2, 3, 17
List the prime factors of (149535/(-6))/((-171)/114).
5, 3323
Suppose -4*r = 91*o - 96*o - 3356, 2*o = 5*r - 4212. What are the prime factors of r?
2, 211
Let n(a) = 78*a - 80*a + 7 - 3*a**2 + 0*a**2 + 4*a**2. What are the prime factors of n(6)?
31
Let q = 11299 + 3349. List the prime factors of q.
2, 1831
Let l = 3976 + 223. Suppose -9*v + l = 10*v. What are the prime factors of v?
13, 17
Let a(h) = 11*h - 1 + 2*h**2 - 3*h**2 - 23*h - 39*h**3 + 9*h. What are the prime factors of a(-2)?
313
Let m(g) = -g**2 + 2*g + 31. Let s be m(7). Let t be 2/((s/(-61))/2). Suppose b - t = -0*b. What are the prime factors of b?
61
Let o = 30 - 15. Suppose 38 = -15*s + 158. Let r = o - s. List the prime factors of r.
7
List the prime factors of (-122)/2196 - 2128540/(-72).
17, 37, 47
Suppose 3*g + 5*l + 344 = 0, 0*l = -3*g + 4*l - 335. Let p = -90 - g. List the prime factors of p.
23
Let y = 82 + -94. Let n be (-24)/20*2910/y. Suppose -6*x = -3*x - n. What are the prime factors of x?
97
Let i be -88*(2 - (1 - -2)). Let n = 55 - i. Let g = 208 + n. List the prime factors of g.
5, 7
Let g(u) = -1172*u - 181. List the prime factors of g(-5).
3, 631
Suppose -6*w + 2*w - 124 = 0. Let m be (-11)/(1 - (-40)/(-36)). Let h = w + m. What are the prime factors of h?
2, 17
Let c(y) = -y**2 + 9*y + 3. Let h be c(9). Let t(z) = 49*z**3 + z**2 + 5*z - 1. Let p be t(2). Suppose -h*l + 183 = -p. List the prime factors of l.
2, 7
Let h(t) = -11*t**3 + 3*t**2 + 23*t + 19. List the prime factors of h(-8).
5659
Suppose 53*t + 20*t = -30*t + 5763365. What are the prime factors of t?
5, 19, 31
Let g = 12851 + -6055. List the prime factors of g.
2, 1699
Let i = 4065 + -966. What are the prime factors of i?
3, 1033
Let f(u) = -10*u + 7. Suppose -3*s = 3*s - 348. Suppose 14 = -4*p - s. What are the prime factors of f(p)?
11, 17
Let r(l) = -9*l - 157. Let v be r(-18). Suppose m - h = 63, -4*h - 54 - 261 = -v*m. List the prime factors of m.
3, 7
Suppose 13*o - 19*o - 2022 = 0. List the prime factors of -4*(-6)/(-24)*o.
337
Let a(u) = -12*u**3 - 70*u**2 + 19*u + 90. What are the prime factors of a(-19)?
56767
Suppose 42*w = 41*w + 99. Let q = 168 - w. List the prime factors of q.
3, 23
Let y = 68209 + -43092. List the prime factors of y.
25117
Let n(a) = 124*a**2 - 11*a + 35. List the prime factors of n(-7).
2, 7, 13, 17
Let l = -357 + 254. Let h = 105 + l. Suppose 2*i - 59 = -f, -i = -h*i + 4*f + 25. List the prime factors of i.
29
Let v(o) = -1669*o**3 + 2*o**2 + 3*o - 3. List the prime factors of v(-2).
13, 79
Let h(l) = -22*l + 2. Let o be h(3). Let f = -1134 + 1233. Let z = f + o. List the prime factors of z.
5, 7
What are the prime factors of (-5 + 10 - 2) + (4300 - 4)?
3, 1433
Let t = -1402 + 926. List the prime factors of ((-4)/(-5))/(48/120) - t.
2, 239
Let j(f) = -f + 12. Let r be j(-17). Suppose -r*y + 9218 = -7*y. List the prime factors of y.
419
Let x = -555 + 318. Let a = x + 454. What are the prime factors of a?
7, 31
Let v be (35 - 15)*(-330)/(-8). Suppose 0 = 26*f - 2671 + v. What are the prime factors of f?
71
Suppose 2*p = -3*b + b + 20, -3*b = 2*p - 24. Let v(c) be the third derivative of 11*c**4/24 + 14*c**3/3 - 2*c**2. What are the prime factors of v(p)?
2, 47
Let m(s) = 28*s**3 - 3*s - 13. Let w be m(4). Suppose w = 4*l + 5*a, 2*a - 206 = -l + 238. List the prime factors of l.
2, 3, 73
Let t(b) = -49*b - 9. Let v(o) = -o**3 + 15*o**2 - 14*o - 2. Suppose -2*j + 25 = 3*x, -5*j - 4*x + 38 = -2*j. Let g be v(j). What are the prime factors of t(g)?
89
Let a(z) = 2*z**2 - 5*z - 8. Let b(u) = 3*u**2 - 3*u - 8. Let h(y) = -4*a(y) + 3*b(y). What are the prime factors of h(-18)?
2, 67
Let i(a) = 2*a**3 + 35*a**2 + 20*a - 15. Let z be i(-16). Let c = -228 + z. What are the prime factors of c?
5, 41
Suppose 4*i = 40*u - 38*u - 2122, -4*i + 20 = 0. Suppose -4*a - 5*w = -a - 3281, u = a - 4*w. List the prime factors of a.
1087
Let u = 45 + 11. Let s = u - 54. Suppose 68 = s*j + 26. List the prime factors of j.
3, 7
Suppose 0 = 3*s + 6, -r + 58502 = -267*s + 269*s. List the prime factors of r.
2, 3, 7, 199
Let m = 11285 - 5080. What are the prime factors of m?
5, 17, 73
Let q(n) = -18 - 2*n + 22 + 27. Let w be q(14). List the prime factors of (-98)/(-6) - (-2)/w.
17
Suppose 21*f - 99103 = 63626. List the prime factors of f.
3, 7, 41
Let y = -339 - -45. Suppose 113 = f - 436. Let d = y + f. List the prime factors of d.
3, 5, 17
Let k(l) = -l**2 + 16*l + 2. Let r be -3 - (-22)/6 - (-26)/6. Let n(i) = -i + 12. Let a be n(r). List the prime factors of k(a).
5, 13
List the prime factors of (-5466)/((-16)/(-128)*-12).
2, 911
Let x be (56/(-12) - -4) + 772/(-3). Let r = x - -843. What are the prime factors of r?
3, 5, 13
Let t = -236 + 240. Let r(a) = 40*a + 73. List the prime factors of r(t).
233
Let b(p) = -p**3 + 9*p**2 - 6*p - 16. Let r be b(8). Suppose -7*i + 6*i + 25 = r. What are the prime factors of i - 0 - -4 - -1?
2, 3, 5
Suppose 19999 = v + 5*t, t = 1120*v - 1117*v - 59869. List the prime factors of v.
3, 6653
Let z be 1 + 2 - -1 - 2. Let u be z*4/(-40) + (-3873)/(-15). Let h = u - 28. What are the prime factors of h?
2, 5, 23
Let u = 60 - 60. Suppose 5*o - 3*v - 14 = 0, -5*o + u*v = -v - 18. Suppose -11*p = -o*p - 1099. List the prime factors of p.
157
Suppose 0 = -5*u + 4*f - 3, 3*u + 4*f + 2 = -19. Let v(c) = 89*c**2 + c + 14. Let w be v(u). Suppose w = 11*t + 97. What are the prime factors of t?
5, 13
Suppose -5*u + 308 = -3*u. Suppose -14*r + 1364 = 384. Let s = u - r. List the prime factors of s.
2, 3, 7
Suppose 1280 + 90 = b. Let g = b - 953. What are the prime factors of g?
3, 139
What are the prime factors of 2751*(-25)/40*(-96)/36?
5, 7, 131
List the prime factors of 67874/4 + 2 - (-1374)/916.
2, 4243
Let k(q) = -7 - 2*q + 2*q + 8*q**2. Let l = 727 + -730. What are the prime factors of k(l)?
5, 13
Let f(r) = 4*r - 27. Let d be f(8). Suppose 9*y - d*y = 1192. Suppose -32 = -15*q + y. List the prime factors of q.
2, 11
Suppose -46780 = 13*h - 160*h + 1001771. List the prime factors of h.
7, 1019
Suppose 26*k + 4290 = -13*k. List the prime factors of (k + -1)*120/(-18).
2, 5, 37
Let i(t) = t**3 - 7*t**2 - 20*t + 6. Let u be i(9). What are the prime factors of 532/5 - u/(-30)?
2, 53
Let p = -38906 + 60325. List the prime factors of p.
21419
Let k = 6690 + -3953. List the prime factors of k.
7, 17, 23
Let b = -15698 + 22953. List the prime factors of b.
5, 1451
Let r(y) = y**2 + 10*y + 7. Let l be r(-6). Let g = l + 24. List the prime factors of (-2)/4*g*-20.
2, 5, 7
Suppose 0 = 56*o + 6*o + 45*o - 824863. List the prime factors of o.
13, 593
Let p = -259 - -261. Suppose -4*k - 78 + 510 = p*s, 0 = s + 4*k - 212. List the prime factors of s.
2, 5, 11
Suppose 48*c = -135*c + 2122434. What are the prime factors of c?
2, 3, 1933
Suppose 241*p + 315*p = 25553760. What are the prime factors of p?
2, 3, 5, 383
List the prime factors of ((-822564)/52)/(-3) + (-4)/52*-2.
5273
Let l(g) = g. Let p(y) = 25*y + 21. Let z(x) = 5*l(x) - p(x). What are the prime factors of z(-5)?
79
List the prime factors of (70182/(-567))/(1/6*12/(-18)).
2, 557
Let k = -891 - -1399. Suppose 0 = p + p - k. What are the prime factors of p?
2, 127
Suppose 5*v = 6018*q - 6021*q + 191459, 0 = -5*q - 10. What are the prime factors of v?
149, 257
Let g(d) = 174*d + 21. Let c = -41 + 51. Let s be g(c). What are the prime factors of 1 + s/27 + 14/(-63)?
2, 3, 11
Let c = 9387 - 5969. What are the prime factors of c?
2, 1709
Let f = 97476 - 68888. List the prime factors of f.
2, 7, 1021
What are the prime factor | {
"pile_set_name": "DM Mathematics"
} |
5, 5643, 5679, 5739, 5829?
5955
What is next in 142, 1062, 3552, 8392, 16362?
28242
What comes next: -70904, -141767, -212630, -283493?
-354356
What is the next term in -1042, -1212, -1406, -1624?
-1866
What comes next: 141, 1438, 4919, 11676, 22801, 39386, 62523, 93304?
132821
What comes next: 2937, 11850, 26739, 47604?
74445
What is next in -30643, -61284, -91925?
-122566
What is the next term in -48728, -97456, -146184?
-194912
What comes next: -6, 105, 302, 591, 978, 1469, 2070, 2787?
3626
What comes next: 19639, 39280, 58921, 78562?
98203
What comes next: -20106, -40213, -60318, -80421?
-100522
What is next in 24045, 24040, 24035, 24030?
24025
What is next in 16745, 16743, 16739, 16733, 16725, 16715?
16703
What comes next: -288, -2154, -7216, -17070, -33312, -57538, -91344, -136326?
-194080
What is the next term in -43, -778, -2069, -3922, -6343, -9338, -12913, -17074?
-21827
What comes next: -76, -178, -366, -682, -1168, -1866, -2818, -4066?
-5652
What is the next term in -182, -270, -488, -902, -1578, -2582?
-3980
What is the next term in -5815, -6450, -7099, -7768, -8463, -9190, -9955?
-10764
What is next in -40774, -81548, -122322, -163096, -203870?
-244644
What is next in 1798, 1843, 1888, 1933, 1978, 2023?
2068
What comes next: 45501, 45481, 45461, 45441, 45421?
45401
What comes next: 134, 297, 480, 695, 954, 1269?
1652
What comes next: -533, -1796, -3059, -4322?
-5585
What is the next term in -260, -518, -758, -968, -1136, -1250, -1298?
-1268
What is the next term in 1701, 1555, 1311, 969?
529
What is the next term in 718, 737, 782, 865, 998, 1193, 1462, 1817?
2270
What is the next term in 77, 325, 771, 1439, 2353?
3537
What comes next: 3177, 6351, 9523, 12693, 15861, 19027, 22191?
25353
What is the next term in -600, -4797, -16184, -38355, -74904, -129425, -205512?
-306759
What is next in 373803, 373811, 373825, 373845, 373871?
373903
What comes next: 13958, 13845, 13732, 13619?
13506
What is next in -214, -1759, -5946, -14095, -27526, -47559?
-75514
What is next in 7433, 14848, 22275, 29720, 37189, 44688, 52223?
59800
What is the next term in 2049, 2031, 2013, 1995, 1977, 1959?
1941
What is next in 1411, 2860, 4309, 5758, 7207, 8656?
10105
What comes next: 243, 406, 485, 480, 391, 218?
-39
What is next in -131, -137, -165, -215?
-287
What is next in 177, 357, 563, 807, 1101, 1457?
1887
What is next in -340504, -681014, -1021524, -1362034?
-1702544
What is next in 7, 50, 141, 292, 515, 822, 1225?
1736
What is the next term in 1881, 1846, 1803, 1752, 1693?
1626
What comes next: -1199, -977, -607, -89?
577
What is the next term in -63, -122, -177, -228, -275?
-318
What comes next: -2060, -2051, -2036, -2015, -1988?
-1955
What comes next: 155948, 155954, 155970, 156002, 156056?
156138
What is the next term in -6499, -6406, -6313, -6220, -6127, -6034?
-5941
What comes next: -2283, -2232, -2181, -2130, -2079?
-2028
What is next in 45815, 45819, 45825, 45833, 45843, 45855, 45869?
45885
What is next in -92719, -185444, -278169, -370894?
-463619
What comes next: -186, -394, -660, -984, -1366, -1806?
-2304
What comes next: 23058, 92234, 207528, 368940, 576470, 830118?
1129884
What comes next: -1275, -2679, -4083, -5487, -6891, -8295?
-9699
What comes next: 802, 1019, 1238, 1459, 1682, 1907, 2134?
2363
What comes next: -750, -735, -714, -687, -654, -615, -570?
-519
What is the next term in 15, 136, 377, 750, 1267, 1940, 2781?
3802
What comes next: 1365, 2738, 4111?
5484
What is the next term in -166504, -166505, -166506, -166507, -166508, -166509?
-166510
What is the next term in 113082, 113081, 113080, 113079?
113078
What is next in 439, 3498, 11791, 27934, 54543?
94234
What comes next: -1217877, -1217879, -1217881, -1217883?
-1217885
What comes next: 43, 105, 179, 259, 339?
413
What is next in 10193, 10200, 10211, 10226, 10245?
10268
What is the next term in -632, -2443, -5476, -9743, -15256?
-22027
What comes next: 1084993, 1084992, 1084981, 1084954, 1084905, 1084828?
1084717
What is the next term in 8136, 8071, 8006?
7941
What is the next term in -389, -856, -1391, -1988, -2641, -3344, -4091, -4876?
-5693
What comes next: 360, 913, 1466, 2019?
2572
What is the next term in 5861, 11713, 17563, 23411, 29257, 35101?
40943
What is next in -292335, -292334, -292333, -292332, -292331?
-292330
What is the next term in -305138, -305143, -305148, -305153, -305158?
-305163
What is next in 486, 487, 496, 513, 538, 571, 612?
661
What is next in -62828, -125692, -188558, -251426?
-314296
What is the next term in -64, -177, -380, -679, -1080, -1589, -2212, -2955?
-3824
What comes next: -64154, -64173, -64204, -64253, -64326, -64429?
-64568
What is next in -207, -1021, -2381, -4281, -6715, -9677, -13161, -17161?
-21671
What is the next term in -256, -2012, -6802, -16144, -31556, -54556?
-86662
What is next in 17291, 17291, 17289, 17285, 17279?
17271
What is next in -192, -434, -874, -1542, -2468?
-3682
What is the next term in 13, -70, -245, -506, -847, -1262, -1745, -2290?
-2891
What comes next: 178, 302, 420, 538, 662, 798?
952
What is next in -88314, -88314, -88306, -88284, -88242, -88174, -88074?
-87936
What comes next: -7, 104, 215, 332, 461, 608, 779, 980?
1217
What is next in -123163, -246325, -369487, -492649, -615811?
-738973
What is the next term in -6, 33, 98, 189?
306
What comes next: 171287, 342572, 513857, 685142, 856427, 1027712?
1198997
What comes next: 797, 3321, 7535, 13445, 21057?
30377
What is next in 656002, 656003, 656004, 656005?
656006
What is the next term in -94, -291, -604, -1033, -1578, -2239?
-3016
What is next in 254767, 254760, 254753, 254746, 254739, 254732?
254725
What comes next: 238, 2222, 7578, 17992, 35150, 60738?
96442
What comes next: -14647, -29283, -43905, -58507, -73083, -87627?
-102133
What comes next: 158454, 316905, 475356, 633807, 792258, 950709?
1109160
What is next in 227490, 454978, 682464, 909948, 1137430, 1364910?
1592388
What comes next: 86, 51, -20, -145, -342, -629?
-1024
What is next in -360, -174, 12, 198, 384?
570
What is the next term in -1027, -1016, -989, -940, -863?
-752
What comes next: 779, 1554, 2331, 3110, 3891?
4674
What comes next: 4323, 8651, 12979, 17307?
21635
What is the next term in -40142, -40138, -40134?
-40130
What comes next: 244429, 244432, 244435, 244438, 244441?
244444
What is next in 46, 376, 1266, 2998, 5854, 10116?
16066
What is next in 5823782, 5823784, 5823786?
5823788
What is the next term in -376719, -753447, -1130175, -1506903, -1883631, -2260359?
-2637087
What is the next term in -26266, -52533, -78802, -105073, -131346, -157621?
-183898
What comes next: 3762, 15086, 33954, 60354, 94274?
135702
What is next in 6, 117, 404, 951, 1842, 3161?
4992
What comes next: 4894152, 4894153, 4894154, 4894155, 4894156, 4894157?
4894158
What comes next: 92, 552, 1316, 2384, 3756, 5432?
7412
What comes next: -5761, -5751, -5719, -5659, -5565, -5431, -5251?
-5019
What is next in 13146, 52557, 118242, 210201, 328434?
472941
What is next in -1980, -7880, -17708, -31458, -49124, -70700, -96180?
-125558
What is next in -5327, -21257, -47793, -84935, -132683, -191037?
-259997
What is the next term in 397, 691, 997, 1321, 1669, 2047, 2461, 2917?
3421
What is next in -15394, -30786, -46178, -61570, -76962, -92354?
-107746
What comes next: 42706, 85413, 128124, 170839, 213558, 256281, 299008?
341739
What is the next term in 3981, 3279, 2575, 1869, 1161?
451
What is the next term in 42986, 42976, 42952, 42908, 42838, 42736?
42596
What comes next: 402, 671, 796, 771, 590, 247, -264, -949?
-1814
What is the next term in -309, -328, -357, -402, -469, -564?
-693
What is the next term in 197787, 197785, 197783, 197781?
197779
What is the next term in -3828731, -3828734, -3828737, -3828740, -3828743, -3828746?
-3828749
What comes next: -6640, -6610, -6580, -6550, -6520?
-6490
What comes next: 11728, 11752, 11788, 11830, 11872?
11908
What is the next term in 68, 149, 188, 173, 92, -67, -316?
-667
What is the next term in -802, -3358, -7618, -13582, -21250, -30622, -41698?
-54478
What is the next term in 49, 201, 481, 907, 1497, 2269, 3241?
4431
What is the next term in 71, 869, 2207, 4091, 6527?
9521
What is next in 15512, 31081, 46656, 62237, 77824, 93417, 109016?
124621
What is next in -544 | {
"pile_set_name": "DM Mathematics"
} |
(d) 2
d
Let y = -2913614/7 + 417314. Let u = y + -1083. Let o = 0 + 2. Which is the closest to o? (a) 15/2 (b) u (c) 0
b
Let f(u) = 6*u + 4. Let n be f(-1). Let x = 0.03891 + 0.06109. Which is the closest to x? (a) -5 (b) -6 (c) n (d) 1
d
Let j = 19/70 - -1/70. Let g be (-3)/(-2)*((-303)/99 + 3). What is the nearest to j in -0.1, -0.2, g, -4/9?
g
Let o(w) = 1349*w - 4042. Let p be o(3). Which is the closest to 96? (a) p (b) -2/17 (c) 0
a
Let c = 5.3 - 6.3. Let o = -696 + 712. What is the closest to 0.1 in 3, -3, c, o?
c
Let f = 19.0514 - 0.0514. Let l = f + -33. What is the nearest to l in 1/2, 0.2, -0.1, 3?
-0.1
Let s = -0.3476 + -7.6524. What is the closest to -2 in 0.1, s, 0.2?
0.1
Let h = 7.56 - 997.56. What is the closest to 2/3 in 5, -0.1, h?
-0.1
Let n = 151 + -150.4. Which is the closest to -1? (a) 3 (b) 82 (c) n
c
Let g = 2364 + -2363.9. What is the nearest to -2/3 in 0.2, g, -8, -11?
g
Let q be 7 + -10 - 11/(-4). Let z(v) = v**3 + 11*v**2 - v - 4. Let o be z(-11). Suppose p - o*p = -p. What is the closest to q in 0.4, p, -3/8?
-3/8
Let d = -57.5 - -57.49. Which is the nearest to 0? (a) -5.1 (b) d (c) -0.3
b
Let l = -44.56 + 41.46. Which is the nearest to -1? (a) 1/3 (b) l (c) 0.1
c
Let j be 2/(-5) - 17610/225. Let u = 79 + j. Suppose 2*q - 3*y + 5 = 0, 0*q - 3*y = -3*q - 6. What is the nearest to u in 4, q, 0.4?
0.4
Suppose 24*z + 335 = 29*z. Let h = -537/8 + z. Which is the closest to 1? (a) 0.4 (b) 0.1 (c) h
a
Let f be (32/(-192))/((-6)/4). Let w = -0.18 - -0.18. Let s be 24/(-60) + 24/110. What is the closest to f in w, s, -3?
w
Suppose -5*d + d = 20. Let q be (-2)/(-10) + (d - (-186)/(-5)). Let p = q - -48. Which is the nearest to -0.1? (a) p (b) -0.4 (c) -2/7
c
Let x = -4391 - -4392.1. What is the nearest to 0 in x, -0.3, 4, 11?
-0.3
Let s be (2/(-9) + (-32)/(-63))/((-842)/5894). What is the nearest to 33 in 0.4, s, 0.6?
0.6
Let j(q) be the first derivative of 8*q**2 - 101*q + 15. Let h be j(6). Which is the nearest to 1/2? (a) -4 (b) 3 (c) h
b
Suppose 6*d + 3 = 3*d. Let f = -2.2 + 1.5. Let t = -0.7 - f. Which is the nearest to 2? (a) 3 (b) t (c) d
a
Let w be -255*(-6 + 6 + (1 - 0)). Let k = 769/3 + w. Which is the nearest to -5? (a) 1/3 (b) -0.3 (c) k
b
Let f be 12/(-9) + -31 + 11900/375. Let p = 0.31 + -0.3. Which is the closest to 0? (a) 0.3 (b) f (c) p
c
Let r = 7606 + -7653. What is the nearest to -0.1 in 10/9, r, 3, -0.2?
-0.2
Let x be -2 - (0/3)/((-174)/(-29)). What is the closest to -0.1 in -1/8, x, -100, 0?
-1/8
Let o = 29/33 + -211/165. What is the nearest to 1 in o, -5, 0.15, -2.4?
0.15
Let y = -12453 - -12454. Let s = 15 - 11. Let z = 1 - s. Which is the closest to -0.1? (a) y (b) z (c) 2/3
c
Let s = 0.24574 + -2.24574. Let u be 12/16 - 2/8. Which is the nearest to u? (a) s (b) -0.5 (c) 0.3 (d) 20
c
Let j = -352/9 + 116/3. Let p be (0/((-44)/4))/3. Which is the nearest to 3/26? (a) p (b) 1/4 (c) j
a
Let h = 1 - 1. Let u = -377649/10 - -37765. Which is the nearest to h? (a) -4 (b) u (c) -0.4
b
Let f = 1650 - 1651. Let v = -311 + 3418/11. Which is the closest to f? (a) 1/4 (b) -2 (c) v
c
Let p = 338 - 339. Let z = -93 - -95. Which is the closest to p? (a) z (b) 8/7 (c) -9
b
Suppose 6*h - 13 = -5*a + 5, -a = 0. What is the closest to h in -2, 1.3, 2/15, -2/7?
1.3
Let s be (-90)/(-133) + (-8)/76. Suppose -2*a - 3*a + t = 93, 3*a = t - 55. Let h be (-33)/44 - a/20. What is the closest to -2 in s, h, 3?
h
Let r be -1 - (-6 + 0)/6. Let x be (-29)/(-58)*((-2)/4 - r). Which is the closest to -2/7? (a) 48 (b) x (c) -0.5
b
Let z = -18720.3 + 18720. Let q = 5.8 + -0.8. Which is the closest to -1? (a) z (b) q (c) 0 (d) 3
a
Let q = 6079/7728 + -1/1104. Let y = -9/7 + q. Let k be 1/(-5)*(12 + (-119)/17). Which is the closest to y? (a) 1 (b) k (c) -5
b
Suppose -5*z + 5*j = 15, 5*j - j = 20. Let f = 338 + -335. Which is the nearest to z? (a) f (b) -19 (c) -5
a
Let j be 164547/23547*(0 - -1) + -7. Which is the nearest to 0.1? (a) j (b) 0.1 (c) -0.3
b
Let i be (-8)/90 - (665/(-75) - (-54)/6). Which is the nearest to i? (a) 3 (b) -7/206 (c) 0
b
Let m(x) be the first derivative of -x**3 - 9*x**2/2 + 2*x + 65. Let g be m(-3). Which is the closest to g? (a) 5/2 (b) -0.07 (c) 1
a
Let l = 304/115 + -24/23. Let w be ((-1)/1)/((-118)/590). What is the nearest to l in -5/2, 0.1, w?
0.1
Let s = 4 - 2. Let v = 1 - s. Let a(f) = f**2 - 197*f - 3179. Let h be a(-15). What is the nearest to h in 2/5, 1, v?
1
Let g = 82.8 - 84.8. Which is the nearest to 1/3? (a) 3 (b) g (c) -5/7 (d) 1
d
Let p be ((-1)/3)/(20/12 + -2). Let o be -1 - -1 - 11/(-11 + 66). Which is the closest to 0.1? (a) -0.43 (b) o (c) p (d) -2/7
b
Let z = -403451/36 + 11207. What is the closest to 1 in z, -6/7, -0.1?
z
Suppose -4 = q - 0*q - x, -11 = 5*q + 4*x. Let o = 41 - 42.65. Let j = o + -0.35. Which is the closest to -4? (a) 4 (b) q (c) j
b
Let w = 1639 - 1638. What is the nearest to w in -5, -2, -32/3, -4?
-2
Let k = -4/3 - -1. Let n be (-5)/15*453/1. Let z = 452/3 + n. Which is the nearest to k? (a) -0.2 (b) z (c) 7
b
Let q = 48 + -15. Suppose 2*y + 9*y = -q. Let v = -1/20 - 11/180. What is the closest to -1/3 in v, y, -2?
v
Let h be (-32 - (-35 + 1))/(-2). Let l = 0.9 - 1. Suppose -1 = -2*m - 13. What is the closest to h in l, 2/3, m?
l
Let z = 3534 + -3530. Which is the closest to 1? (a) z (b) -0.01 (c) -0.1 (d) 0.4
d
Let d be 1/(10/(-16)) + 0. Let u be (-1 - 46/(-10)) + -3*1. Let w = -1.4 - -1.4. What is the closest to w in u, 0, d?
0
Let o = -142 - -142.38. Let y = o - -0.62. Which is the closest to y? (a) -0.4 (b) -3 (c) -0.2
c
Let d = -18/211 - 34195/2321. Let i = d + 15. Let g = -7/37 + -173/259. Which is the closest to 2/5? (a) 0 (b) g (c) i
c
Let z be (-9)/54 - 17/(-17). Let v be (18/(-12) + 1)/(1/(-6)). What is the closest to 0.11 in 0, 2/9, z, v?
0
Let v = 0.005 - 0.055. Let m = 1.27 + v. Let j = m - 2.22. What is the nearest to 0.1 in j, 0.4, -16?
0.4
Let u be (-36)/(-19872)*46 + (-10)/56. What is the nearest to 237 in -3, 1, u, 18/7?
18/7
Let l = 10.9 - 10.5. Let q = 39 + -59. Let t = -39/2 - q. What is the nearest to t in 3, l, 0?
l
Let f = 42 + -37. Let s = 198 + -196. What is the nearest to f in 2/5, -0.1, s?
s
Let d be ((-50)/3)/((-429)/54 - -8). Let s be (24/d)/((-8)/(-10)). Which is the closest to 1? (a) 1/4 (b) s (c) 1/5
a
Let d = -1.94 + -0.06. Let f = 1 + d. Let o be (60400/(-180))/(-20) - 17. Which is the nearest to f? (a) 1 (b) o (c) 2/5
b
Let k = -10.17 - -10.2. Let v = 0.02 - -0.48. Let c = -22 - -24. What is the nearest to c in -0.2, v, k?
v
Let n = -0.24 + -0.26. Let t = -4937.17 - -4937. Which is the closest to 0.1? (a) n (b) -0.4 (c) t
c
Suppose 12 = 3*g + 3*m, -6*m = 3*g - 5*m - 8. Suppose 4 = -l - g. Which is the closest to 0.1? (a) -4 (b) l (c) 0.5
c
Suppose -12*m + 79 = -5. Let u be (-1)/m*551/152. Let z = -3/8 - u. Which is the nearest to 17? (a) 0.5 (b) -2/3 (c) z
a
Let b = -22 + 25. Let y = -249.9 + 231. Let g = -18.9 - y. What is the nearest to 1 in b, 4, g?
g
Let j = 3555 - 3559. Which is the closest to -1? (a) j (b) 1 (c) 6/7 (d) 4
c
Suppose 3*i - 8 = -v, 5*i - 9 = 2*v + 8. Let c = 4204 + -67265/16. What is the closest to -2/11 in 0.2, v, c?
c
Let u be (-45)/(-60) - (1 + 21/(-4)). Let q = -46.86 - -47. Suppose -3 = -4*o - 4*k + 13, -2*o + 4*k = 16. Which is the closest to o? (a) 0.4 (b) q (c) u
b
Let k = -470 - -469.94. What is the nearest to -0.1 in -1, -0.4, 5, k?
k
Let h be 108520/(-76000) - (1 - 7/4). Let q = -13/25 - h. Let c = -28/57 + q. What is the nearest to -1/3 in c, 4, 0.1?
c
Let o(w) = -941*w - 5633. Let y be o(-6). Let p = -0.2 - 2.8. Which is the nearest to -2? (a) p (b) -0.1 (c) y
a
Let v = -74.006 + 0.006. Let j = 73.695 + v. Let f = j - 0.095. Which is the nearest to 1? (a) f (b) -5 (c) 0
c
Let s = -157 - -157.968. Let z = 0.99 - s. Let k = z + 0.088. Which is the nearest to k? (a) 5/4 (b) 0 (c) 0.5
b
Suppose -4*w = -105*z + 109*z - 32, w = z - 10. What is the closest to w in -49, -0.5, -3/8?
-0.5
Let m = -102.77 - -102.85. Which is the closest to m? (a) -2.4 (b) 0 (c) 0.1 (d) -1/7
c
Let f = 86.07 + -86. Let n = f + 28.93. Let k = -29.1 + n. Which is the closest to 1? (a) 1/3 (b | {
"pile_set_name": "DM Mathematics"
} |
2*u, 5*u - h = -5*k. Is k a composite number?
False
Let s be ((-9462)/(-15))/(4/20). Suppose 0 = -9*c + s + 2957. Is c prime?
False
Let k(b) = 71*b + 158. Is k(13) a composite number?
True
Let u = -3 + 8. Suppose -u*j = -i + 171, -i - 828 = -6*i - 2*j. Suppose f - i = 205. Is f composite?
True
Suppose -3*j - 4*q + 36550 = -j, -3*q = 4*j - 73085. Is j composite?
False
Let y = 7465 + -2815. Suppose 4*p + t = 3717, -2*t + y = 5*p + 3*t. Is p prime?
True
Let g(p) be the third derivative of p**5/60 - p**4/24 + 2*p**3/3 - 5*p**2. Let v be g(0). Suppose 2555 = h + v*h. Is h a prime number?
False
Let y(c) = 21*c + 88. Let h be y(-10). Let k be 59 + 2 + -3 - 1. Let r = k - h. Is r prime?
True
Let m be -2 + -3 - 2*-1. Suppose -3*x = -5*t + 3*t - 69, 4*x - 92 = 3*t. Is x/(-5 - -3 - m) a prime number?
True
Let a(r) = r**2 - 3*r. Let z be (3/(-5))/((-9)/45). Let f be a(z). Suppose f = 4*o - 435 - 49. Is o a prime number?
False
Is 252/140 - (-399772)/10 a prime number?
True
Suppose -8*p = -13*p + 97655. Is p prime?
True
Let p be (-4)/(-10) - (-92)/20. Suppose 2*w = p*w - 561. Is w a composite number?
True
Let u(w) = -w**3 + 10*w**2 - 6*w + 5. Let b be u(6). Let j = 276 - b. Is j a composite number?
False
Let a(s) = s**3 - 20*s**2 - 6*s - 38. Let c be a(18). Suppose -5*i - 3*w = 5970, -5*i + 2*w = 2005 + 3940. Let j = c - i. Is j a composite number?
False
Let l be (-4)/(1*2/(-2)). Suppose -c - 5*r = -28, 5 = l*c + 2*r - 17. Is 0/c - (-2 - 140) prime?
False
Let o = 2487 - -1412. Suppose -r = 6*r - o. Is r a composite number?
False
Let v = -124 + 82. Let l be (-3)/15 + v/(-10). Suppose 2*q = l*y - 130, 3*y = -y + 3*q + 125. Is y a composite number?
True
Suppose c + 2 = -0, -3*f - 1424 = -2*c. Let j = -339 - f. Suppose j + 67 = 4*n. Is n composite?
True
Suppose -12 = u + 5*g, -2*g + 3 = -3*u - 6*g. Suppose 4*w = 2*w - o + 133, u*w - 206 = 5*o. Is w composite?
False
Let s(p) = -p**3 + 7*p**2 - 4*p - 5. Let l be s(6). Let x be -2 + 1 - (-28)/l. Suppose 0 = -6*o + x*o + 2*m + 931, 1557 = 5*o + 2*m. Is o a composite number?
False
Let h(s) = s**2 + 14*s - 17. Let p be h(-13). Let v = 65 + p. Is 15/v + 726/21 a composite number?
True
Let k(i) = -8*i + 3. Let g = 66 + -70. Is k(g) a prime number?
False
Let n = -500 + 1135. Suppose -5*p = -4*p - 4*s - n, -4*p + s = -2495. Is p a composite number?
True
Let x(r) = 31*r**2 + 14*r - 151. Is x(12) prime?
True
Suppose -5*h = 2*v - 2841 - 604, 3*h + 5*v = 2086. Is h a prime number?
False
Suppose -5*d - 78 = -3*y, -2*d - 58 = -4*y + 46. Let t = y + 25. Suppose -284 = -3*o + 2*u + t, -3*u = -2*o + 220. Is o composite?
False
Let z(q) = -112*q**2 + 5*q + 6. Let u = 14 - 17. Let g be z(u). Let j = -524 - g. Is j a composite number?
True
Let j be 64/(-24)*(-3)/2. Suppose -4*a - 4*u - 172 = 0, -4*u = -j*a - 117 - 95. Let h = a - -85. Is h a prime number?
True
Let w(q) = 18*q**2 - 26*q + 195. Is w(-29) a composite number?
False
Suppose -16*w + 0*w = -474992. Is w composite?
True
Let p = 189 - 58. Is p a prime number?
True
Let o be ((-6)/5)/((-7)/70). Suppose -2*z = -3*c + 515, -3*z - o = -0*z. Is c a prime number?
False
Suppose 16*u + 7*u = 50002. Is u a prime number?
False
Let a(b) = -b**2 + 2*b**2 + 4 + b - 2 - b**3. Let f be a(2). Suppose 4*p - 4*v - 828 = f, 3*p + 3*v + 1039 = 8*p. Is p a composite number?
True
Let u(x) = 42*x**3 + 4*x**2 - 2*x - 1. Is u(3) a composite number?
False
Let q(k) = 102*k - 41. Let p(f) = 1. Let l(i) = 2*p(i) - q(i). Is l(-14) a prime number?
True
Let y(s) = -s + 8. Let x be y(-14). Suppose 2 + x = 4*t. Is 3 + (t*-21)/(-1) prime?
False
Let d be 94874 + 11 - (3 - 0). Suppose -4*g = 5*r - d, -2*r + 2*g + 19862 + 18098 = 0. Is r/90 + (-4)/(-30) prime?
True
Let z(c) be the second derivative of 20*c**3 - 5*c**2/2 + 9*c. Is z(11) a composite number?
True
Suppose 14*v - 28*v + 10066 = 0. Is v a prime number?
True
Let h(b) = -1. Let m(f) = 2*f - 21. Suppose 2*z = v - 4*v + 4, -2*v = -z - 12. Let i(q) = v*h(q) - m(q). Is i(-15) composite?
False
Let r = 304 + 103. Is r prime?
False
Let m(o) be the second derivative of -4*o**5/5 + 5*o**4/12 + 4*o**3/3 + o**2/2 + 5*o. Is m(-4) prime?
False
Let j be (3/(-2))/((-21)/28). Suppose -5*s + 42 = -2*u, 0*s + j*s = -4*u + 12. Is 210/4 - s/(-16) a prime number?
True
Let b = 13 - 11. Suppose 0*p - b*p - 16 = -5*o, -3*p = -3*o + 15. Suppose o*w + 14 = 3*w. Is w composite?
True
Let k = -2099 + 3878. Is k a prime number?
False
Suppose 3*a = 514 + 3125. Suppose 3*y - a = -244. Is y a prime number?
False
Let b = -20 + 24. Suppose -b*w + 0 = 3*k + 4, 0 = 2*w + 5*k + 16. Suppose -2*f = -o + 34, -f = -w*o - 3*f + 68. Is o prime?
False
Let m = 21 + -10. Suppose -2*w - 19 - m = 0. Is (-20)/(-8)*(-1818)/w composite?
True
Suppose 4*x + 7612 = 4*a, -5*a - 4*x = 1028 - 10525. Is a a composite number?
False
Is -293*(-3)/(6 - 3) prime?
True
Suppose -6*w = -3879 - 58263. Is w a composite number?
False
Let f(s) = 3*s - 8. Let p be f(4). Let x = p + -1. Suppose -v - 2*i + 173 = 0, 0 = -x*v - 0*i + i + 533. Is v composite?
True
Suppose 5*u = -4*a + u + 8, -2*a = -u - 13. Suppose a*j = 9*j - 1440. Suppose 0*d + 5*d = -2*w + j, -d = 2. Is w prime?
False
Is (-108)/36 + (-224)/(-1) composite?
True
Suppose 22*l - 75772 = -6758. Is l composite?
False
Suppose -19*o = -21*o + 894. Is o prime?
False
Suppose 7*g - 40 = 2*g. Suppose -g*d + 4723 + 2389 = 0. Is d a prime number?
False
Suppose -10 = s - 0*s. Is 2/s - (-2 - (-2212)/(-10)) a composite number?
False
Let r = 16 + -6. Suppose -r*i + 378 = -11*i. Let b = i + 563. Is b composite?
True
Let s(y) = y**3 + 8*y**2 + 9*y - 5. Let v be s(-7). Let u(d) = 2*d**2 + 18*d + 2. Is u(v) prime?
False
Let d = -24 + 28. Suppose d*l = -l + 11585. Is l a composite number?
True
Let t = -10064 + 23707. Is t a prime number?
False
Let h = -130296 + 206525. Is h a composite number?
True
Let x(z) = -93381*z - 74. Is x(-1) a composite number?
False
Let c(t) be the first derivative of 1/3*t**3 - 5/2*t**2 - 1/4*t**4 + 4*t + 1. Is c(-5) a composite number?
False
Is 18152 + (114/(-6) - -10) prime?
True
Suppose t + 29 = -4*p - 0*p, -3*t + 49 = -5*p. Let d be 1781*1 - (p + 9). Suppose -2*j - 1616 = -5*b + 609, 5*j = -4*b + d. Is b composite?
True
Suppose -4*y + 2523 = w, -6*w - 3*y + 2525 = -5*w. Is w a prime number?
True
Let x(w) = 2*w**2 + 6*w. Let d be x(6). Let a = 4 - d. Let p = a - -267. Is p a composite number?
False
Let c(o) = 15 + 5*o - 5*o - o. Let u be c(8). Let j = u - -304. Is j prime?
True
Let t(d) = -7*d - 11. Let x be t(-11). Let l be x/16 - (-3)/(-24). Suppose 0 = 4*n + 4*s - 748, -l*n + 662 = -4*s - 118. Is n prime?
True
Suppose 0 = c + c + 230. Let o = 200 + -281. Let w = o - c. Is w prime?
False
Let h = 23 + -18. Suppose 3*b + 15 = -0*b, -2*g + h*b = -919. Suppose 4*u - g = u. Is u a composite number?
False
Let v = -3387 + 9686. Is v composite?
False
Let z = 4713 + 3536. Let q = z + -5674. Suppose -q = -3*c - 4*u, -u + 3*u = 3*c - 2605. Is c composite?
True
Let n(u) be the second derivative of 11*u**3/6 + 3*u**2/2 + 104*u. Suppose 3*w - 5 = 4*w, -g + w + 11 = 0. Is n(g) composite?
True
Suppose 3*k - 944 = 7501. Suppose -5*l + 0*l + 3*s = -k, 0 = -3*l + s + 1689. Is l a composite number?
False
Let o(g) = 1123*g**2 - 63*g - 347. Is o(-5) composite?
True
Let m(p) = -p**2 + 7*p - 2. Suppose -5 = -5*y + 25. Let c be m(y). Suppose 2*q = 3*g + 7, -4*q + 7 + 17 = -c*g. Is q composite?
False
Let b(d) = 200*d**2 + 7*d - 9. Let l be b(2). Let x = 2986 - l. Is x a prime number?
False
Suppose -4*y - 2*v = -40, 32 = 5*y - 0*v - 2*v. Let b(u) = 15*u**2 + 7. Is b(y) a prime number?
True
Suppose -2*c = -2*x - 18, 0 = -4*c + c - x + 15. Is (8984/c)/((-4)/(-6)) a composite number?
True
Is 0 + 1/6 + 9747455/258 composite?
False
Let u(p) = -806*p - 13. Let c(k) = -1. Let j(r) = 4*c(r) - u(r). Is j(5) prime?
False
Let p(o) be the second derivative of 0 + 4*o + 61/6*o**3 - 3/2*o**2. Is p(2) prime?
False
Suppose -5*p + 13*p - 43768 = 0. Is p composite?
False
Let f = -11 + 11. Let b(m) = -m - 3*m**2 + 5*m + 4 - 6*m**3 + f. Is b(-3) composite?
False
Let f = -31 - -27. Let q(t) = 12*t**2 - 5*t - 13. Is q(f) a prime number?
True
Suppose 4*m + 2*u = -m, -3*u = -2*m. Suppose m = 4*j - 31 - 5. Is 2261/j - (-2)/(-9) prime?
True
Let n be (160/100)/(2/220). Suppose -3*t + n = -61. Is t p | {
"pile_set_name": "DM Mathematics"
} |
*2 + 634*y - 46. Let c be u(-8). Which is greater: c or -103?
c
Let y be (-114)/(-4)*14276/498. Are y and 815 equal?
False
Let s(z) = -2*z**2 + z + 31. Let l(t) = 26*t**2 - 49*t**2 + 22*t**2. Let y(c) = l(c) - s(c). Let g be y(6). Which is smaller: 1/4 or g?
g
Let c = -39991499/522 + 76612. Are c and -1 non-equal?
True
Suppose -2*i = -10, -6*m + 90*i - 1594 = 88*i. Which is bigger: m or -249?
-249
Let v be 1*((-1)/2 - (-114)/12). Let f be 3 - (2/(-1) - -5) - -8. Suppose 5*m = -5*n + 40, n + 2 = m + f. Does n = v?
False
Let l = -201 - -243. Let r = 3989/92 + -37/23. Is r <= l?
True
Let u = -13165 + 12085. Is u at least as big as -1079?
False
Suppose -3*b = -9, 2*s + 4*b = 3*s + 9. Suppose -s*g = -2*m - 169, -134 = -2*g - 5*m + m. Suppose -3*r + 13 = -g. Is r greater than 24?
False
Let t(x) = 13 - 17 - 6*x + 4*x. Let v be t(-4). Suppose 3*h = -3*d - d + 85, v*h + 70 = 2*d. Which is smaller: d or -0.1?
-0.1
Let m = 12095711/539 - 22441. Which is bigger: -1 or m?
m
Suppose -9 = -5*o - 3*h + 2*h, -4*o = h - 7. Let d be (15/(-20))/(o/(-18)). Let j = -201/28 + d. Is 2/3 less than j?
False
Let c = 53804911/131 - 410727. Which is greater: c or -3?
c
Let p be 85608/106128 + ((-96)/(-44))/(-4). Is p less than -1?
False
Let f be 386210/340 + (-3)/1. Let v = f + -1133. Is 1 >= v?
True
Let n be ((-12)/(-4) - 17) + 7. Let d(c) be the first derivative of c**3/3 + 11*c**2/2 + 23*c + 13. Let t be d(n). Which is smaller: t or -6?
-6
Let x(j) = 2*j + 4. Let n be x(0). Let f = -485.24 + 485. Which is smaller: f or n?
f
Suppose -2*h = -3*v - 6*h - 9, -4*v + 19 = -5*h. Is -7/185 less than v?
True
Let b be 11704/(-66)*(-1425)/(-38). Which is greater: b or -6648?
-6648
Let f(h) = -h**3 + 38*h**2 - 35*h + 65. Let l be f(37). Let p = 201 - l. Is 62 > p?
False
Suppose 2883*k - 2858*k = 38850. Which is greater: k or 1556?
1556
Suppose 0 = -10*z + 12*z - 4*y + 84, 2*z + 2*y + 114 = 0. Let n be (210/11)/(117/z + 3). Which is bigger: n or 24?
n
Let r(t) = -t - 6. Let q be r(-5). Let v(y) = 61*y**2 - 3*y - 2. Let o be v(q). Which is greater: 63 or o?
63
Let g = -290/3751 - -14172/86273. Let d = 1.91 - 2. Is g != d?
True
Suppose -4*y + 10 = -3*y + 3*z, -3*z + 5 = -4*y. Let i be (3/(-14))/(-1)*484/66. Do i and y have different values?
True
Let y be (3/8 + 0)/(-3). Let m(s) = -7*s - 66. Let k be m(-10). Suppose 3*p + k*p = 7. Do y and p have the same value?
False
Suppose -4*c + 158 = 5*z, 70 = -2*z + 4*z + 5*c. Let b = 70 + -70. Suppose -3*a + b*a + 90 = 0. Is a at most as big as z?
True
Suppose 2*t - 574 = 152. Let s = t - 361. Is 0 greater than s?
False
Let c = -0.8636 - -1.1636. Which is smaller: c or -17?
-17
Suppose -7*a = -1 + 1. Suppose 2*i + 12 = -3*f, a = -8*i + 3*i + 2*f - 11. Let u be i/(-12)*-2 + 1/8. Which is smaller: u or -1?
-1
Let h be 434/196*-7*(-6 + 0). Which is bigger: 375/4 or h?
375/4
Let w(b) = 8*b - 13. Let o be (-8)/20*(-32 + -3). Suppose 0 = -o*h + 12*h - 10. Let d be w(h). Is d at most -53?
True
Let u(g) = -135*g - 1590. Let v be u(-12). Which is bigger: 372/13 or v?
v
Let c be (-13)/(-7) + -2 + -5*(-90)/(-525). Which is smaller: c or -9/1552?
c
Let d = 11.589 + -11.489. Which is bigger: 10528 or d?
10528
Let w = 1/14724 - 29453/73620. Which is smaller: 5305 or w?
w
Suppose -9*h - 10 = 4*k - 4*h, 5*k = 5*h + 10. Are 2/267 and k nonequal?
True
Let j be 210/213 - 2/2. Let t be (-2)/4*1 + 3/6. Suppose -c - c - 3*c = t. Is j at most as big as c?
True
Let b = 913 - 913. Let n = -1114/5 + 217. Which is greater: n or b?
b
Suppose 0 = -b + 2*v - 405, -45*v = -3*b - 41*v - 1215. Let i be (-90)/b + 2 + (-1722)/783. Is 1 >= i?
True
Let p = 243487/233 - 1045. Suppose 4*s = 6 - 2. Which is greater: s or p?
s
Let j = -2/10159 + -10153/30477. Do -854/11 and j have different values?
True
Suppose 352 = 3*m - 8. Let i = 264 - m. Let h be (i/(-15))/(-4) + (-2)/5. Which is smaller: 1 or h?
1
Let l be ((-1081)/(-94) - 12)*(-4)/67. Suppose m + 3*n + 6 = 21, 2*m - 3*n + 15 = 0. Which is greater: m or l?
l
Let f = -17 - -10. Let y = -2842 + 2842. Which is bigger: f or y?
y
Let l be (-1)/6 + (-85)/30. Let c = 256 + -264. Let a be c/(-16) + l/(-2). Is 2 > a?
False
Suppose b = -3*o + 6364, 4*b - 12766 = -3*o + 12753. Which is smaller: b or 6386?
b
Let j be 18345/281945 + (-4)/62. Which is bigger: 0 or j?
j
Suppose -5*k - 4905 = 4*q, -278*q + 280*q + 2491 = 3*k. Which is bigger: q or -1231?
-1231
Let n(h) = -4*h**2 + 23*h + 6. Let z be n(6). Suppose -3*j + 2*b + 386 = z, 0 = -b - 4 + 3. Suppose -57 = -5*t + j. Which is smaller: t or 36?
36
Suppose 5*d = 10*d + 15. Let y(l) = -2*l**2 - 6*l + 1. Let u be y(d). Let o(b) = 3*b - 2. Let t be o(u). Is t >= 1/18?
True
Suppose 0 = k - 5*j + 11, -7 = -2*k - 2*j + 7. Suppose 4*h + 4*c = -0*c + 180, 0 = -h + k*c + 65. Which is smaller: 191/4 or h?
191/4
Let l = -756 + 756.0121. Which is smaller: l or 8?
l
Let r be ((-24)/20)/2 + 54125/(-1250). Do -44 and r have different values?
True
Let z = 26 + -27.1. Let t = -1 - z. Let o = 3138 + -3160. Is t equal to o?
False
Let p be (2740/15)/(-6 + 3070/510). Which is smaller: p or 1?
1
Let p = -17.072 + 17. Let m = 418276 - 418274. Which is smaller: p or m?
p
Let d = -3465473/129 - -26864. Are 1 and d equal?
False
Suppose -747 + 797 = 2*d. Let u be (-5)/d - (-1)/5. Which is smaller: u or 8/13?
u
Suppose -10 = -2*p, 0 = 3*l - 4*p - 8 - 2. Let i(r) = -r**3 + 7*r**2 + 16*r + 24. Let g be i(l). Which is smaller: -115 or g?
g
Let v be (-3100)/(-248)*9304/10. Which is smaller: v or 11629?
11629
Let p = 11179 + -12973. Is 1/2 <= p?
False
Let x be (5/(90/(-16)))/(12/(-8)). Let g = x - 235/351. Let d = -33/91 - g. Which is bigger: -12/17 or d?
d
Let z = 459 - -66. Let n = -452 + z. Is 76 at least as big as n?
True
Let p be 156/((-243)/36 + 6). Let w be (288/p)/6*2/6. Which is smaller: -1.5 or w?
-1.5
Let y be (3 + -8)*(2 + 64/(-20)). Let b be (-5)/6*3*-2. Suppose 0 = t + 2*u - u + 1, b*u + 29 = t. Which is greater: t or y?
y
Let j = -19606/387 + 457/9. Which is bigger: j or -0.41?
j
Let a = 4401.07 - 4401. Is a less than or equal to 2/281?
False
Let j = -10.834 + 9.914. Which is greater: j or 28?
28
Let r = 1651 + -1649. Let f be (-5254)/(-14)*(-1)/1. Let s = 376 + f. Which is bigger: s or r?
r
Let t(c) = 49*c + 365. Let w be t(-7). Let s(i) = -i + 12. Let a be s(10). Suppose -2*d + 4*l = w, -4*d - 8 = -a*l + 6. Is d >= -5/13?
False
Let m = 24 + -86. Let n = m + 71. Let x = n + -9. Is 11 greater than or equal to x?
True
Let p be (-3)/((-3)/13) - 1. Let i(r) = -r**3 + 2*r**2 + 9*r + 1. Let c be i(5). Let t be -6 - c/5 - 66/(-5). Is p > t?
False
Let u(i) = -5*i**2 - 28*i + 55. Let q be u(-7). Is 73/15 at most as big as q?
True
Let t = 63.23381 + -0.19781. Let j = t + -63. Let a = -5.964 - j. Which is smaller: 0.3 or a?
a
Let r(h) = 119*h - 1734. Let s be r(14). Which is bigger: -53 or s?
-53
Let l = 14706 - 14706. Which is smaller: 2/18565 or l?
l
Let f be 15 + -118*(-90)/(-705). Is -2/31 at least f?
False
Let i(s) = s**3 + s**2 - 71*s - 71. Let q be i(-1). Which is bigger: q or -43/358?
q
Suppose 3*s = 6*s + 39. Let c(l) = -l**2 + 89*l + 665. Let o be c(-7). Are s and o non-equal?
True
Suppose -4*d = -28 + 4. Suppose -g + d*g = 2*g. Let b be ((-165)/(-6) + g)*-2. Is b bigger than -55?
False
Let p = -23341 + 163385/7. Is p smaller than 15576?
True
Let o(z) = -852*z - 322. Let q be o(5). Which is greater: q or -4583?
q
Suppose -2*z + 4 = -4*v, -4*z - 23 = 5*v - 5. Let r be v/(-6) - (1 + 0). Let u = 4.3387 - 4.9387. Which is smaller: r or u?
r
Let t = 0.29 + 12.51. Let p = -0.0578 + -12.5422. Let b = p + t. Which is smaller: 25 or b?
b
Let k(t) = 3*t**2 + 29*t - 10. Let s be k(-10). Is s >= -3/1036?
True
Suppose 22*c = 26*c + b + 801, 995 = -5*c + 5*b. Suppose 121 - 724 = 3*t. Does t = c?
False
Let f = 30 - 49. Let r = -14.5 + f. Let x = -4.5 - r. Which is greater: 0.1 or x?
x
Let f = 3316 - 3313.3. Which is smaller: 27 or f?
f
Suppose -h + 2 = -5*i - 13, 5*i + 10 = 0. Suppose 5*j = -2*k - 89, h*k + 41*j + 238 = 44*j. Which is bigger: k or -43?
-43
Let x = -4437 + 1637255/369. Which is bigger: x or 1?
1
Let m = -3232 + 12927/4. Which is greater: m or 615?
615
Let g = 63564 + -63562.9. Let f = -1460/9 + 162. Are g and f unequal?
True
Suppose -3*p + 11 = -4*k, 0 = -3*p - 4*k - 4 - 1. Let g be (-1 + 8/12)/(p/(- | {
"pile_set_name": "DM Mathematics"
} |
5706 wrt c.
1004300*c**3 + 24*c**2 + 20
Find the second derivative of -4*q**3*t**2 - q**3*t + 15*q**3 - 4*q**2*t**2 - 2*q**2 + 11*q*t**2 + 249*t**2 - 3*t - 168 wrt t.
-8*q**3 - 8*q**2 + 22*q + 498
Find the second derivative of 60*o**3 - 8255*o**2 - 607*o + 1012 wrt o.
360*o - 16510
Differentiate 2*d*t**2 - 2504*d*t - 2*d - 4801*t**2 wrt d.
2*t**2 - 2504*t - 2
Find the third derivative of -78*j**3*x - 398*j**3 - 245*j**2 - 2*j*x + 103 wrt j.
-468*x - 2388
Find the third derivative of d**5 - 768971*d**4 + 4*d**2 - 215898.
60*d**2 - 18455304*d
Find the third derivative of -10*a*d*p**2 - 1892*a*p**3 - a + 684*d**2*p**3 + d**2*p**2 - 16*d**2*p + 86*p**2 wrt p.
-11352*a + 4104*d**2
Find the third derivative of -23210*o**2*v**4 - 64*o**2*v**2 + 8*o*v**4 - 22 wrt v.
-557040*o**2*v + 192*o*v
What is the second derivative of 965387*u**4 - 144453*u - 4?
11584644*u**2
What is the third derivative of 950854*i**5*m - 680*i**2*m - 78*i**2 wrt i?
57051240*i**2*m
Find the second derivative of 49*y**5 + 200*y**2 - 44929*y + 2.
980*y**3 + 400
Find the second derivative of -6*j**3*y + 655*j**3 + 4*j*y - 2247*j - 2*y wrt j.
-36*j*y + 3930*j
What is the second derivative of -2195463*r**2 + 931953*r wrt r?
-4390926
Find the third derivative of -1635*b**4 + 2*b**3*k**2 + 12*b**3 + 2*b**2*k - 5408*b*k**2 wrt b.
-39240*b + 12*k**2 + 72
Find the first derivative of 950581*q**2 + 216990.
1901162*q
Differentiate 14*i*n**2 - 2*i*n + 57977*i + 3622080*n**2 with respect to i.
14*n**2 - 2*n + 57977
What is the first derivative of 14390*d**2*q + 2*d**2 - 46933*d wrt q?
14390*d**2
Find the first derivative of -4*o**2 + 181144*o - 2068634.
-8*o + 181144
What is the first derivative of -4194*u**4 - 262*u**3 + 244505 wrt u?
-16776*u**3 - 786*u**2
Find the second derivative of -159*s**3 - 23*s**2 + 2090*s - 4 wrt s.
-954*s - 46
What is the second derivative of 2*s*w**3 + 1663*s*w + 113658*w**3 + w**2 - 268*w wrt w?
12*s*w + 681948*w + 2
What is the third derivative of -30453*y**3 + 6014*y**2?
-182718
What is the third derivative of 2557080*m**4 - 2425722*m**2?
61369920*m
What is the derivative of o**3 + 6814*o**2 + o*x + 395*x + 11 wrt o?
3*o**2 + 13628*o + x
Find the first derivative of 3859593*m**2 - 3330333 wrt m.
7719186*m
What is the third derivative of 768728*j**3 + 2153887*j**2 wrt j?
4612368
What is the derivative of -363499*d**3 - d**2 - 2*d + 856006?
-1090497*d**2 - 2*d - 2
What is the first derivative of 15*j**4 + 17*j**2 - 111*j - 102934?
60*j**3 + 34*j - 111
Find the first derivative of -55019*m**4 + 190955 wrt m.
-220076*m**3
Find the second derivative of -1257450*i**4 + 66183*i wrt i.
-15089400*i**2
What is the third derivative of -25157*h**6*s + 10*h**4*s*w - h**2*s*w + 50*h**2*s - 243*h**2*w + h*s + 2*s*w wrt h?
-3018840*h**3*s + 240*h*s*w
What is the derivative of 86462*i**2 - 31787 wrt i?
172924*i
Find the third derivative of -32*f**5 + 2*f**4 - 487*f**3 + 315*f**2 - 3*f - 129.
-1920*f**2 + 48*f - 2922
What is the third derivative of 865*b*x**4*y - 16*b*x**4 - 7*b*x**2*y + 2*b*x*y - 9*b*x - 59*b - 4*x**4 - x**2*y + 2*x**2 wrt x?
20760*b*x*y - 384*b*x - 96*x
What is the third derivative of -58880*l**5 - 41193*l**2?
-3532800*l**2
Differentiate 23836*f**3 - 19*f**2 + 2312850 wrt f.
71508*f**2 - 38*f
Find the second derivative of 3*c**2*y**3 - 4925*c**2*y**2 - 5332*c**2*y + 8*c*y**2 wrt y.
18*c**2*y - 9850*c**2 + 16*c
Differentiate -14268*g + 11027 with respect to g.
-14268
Find the third derivative of -156235*j**3*o**2 + 2*j**2*o**2 - 3*j**2 - 187*o**2 + 2 wrt j.
-937410*o**2
Find the second derivative of 119*o**3*v - 21*o**3 - 2180*o*v - 3*o + 7*v wrt o.
714*o*v - 126*o
What is the third derivative of 60177*z**4 - 110*z**2 - 89*z - 3 wrt z?
1444248*z
What is the derivative of -106*w**3 + w**2 + 70*w + 91237?
-318*w**2 + 2*w + 70
Find the second derivative of 282592*v**3 - 2*v**2 + 527*v - 185.
1695552*v - 4
Find the third derivative of -202882*h**5 - 13*h**2 - 3*h - 5437 wrt h.
-12172920*h**2
What is the first derivative of 2*y**2 - 4585*y - 159817 wrt y?
4*y - 4585
Find the second derivative of 467409*o**2 - o - 74032.
934818
Find the third derivative of -7*a**4 - 41286*a**3*m**3 - 1626*a**2*m**3 - 149*m**3 wrt a.
-168*a - 247716*m**3
What is the first derivative of -6*k**2*t - 376*k**2 - 8*k*t - 1058024*t wrt k?
-12*k*t - 752*k - 8*t
What is the second derivative of -2497287*a**4 + 13*a - 77734 wrt a?
-29967444*a**2
Differentiate 94623*q - 2799656 wrt q.
94623
What is the third derivative of 311712*m**3 - 2*m**2 + 168440?
1870272
What is the second derivative of -4072*b**2*g**4 - 3*b**2*g**3 + 2*b**2*g + 5576*b**2 wrt g?
-48864*b**2*g**2 - 18*b**2*g
Differentiate 38*h**2*p**2 - 3*h**2*r - 683*h**2 + 6*h*p**2 + 38600*p**2*r + p - r wrt r.
-3*h**2 + 38600*p**2 - 1
Find the second derivative of -3250*w**4 - w**3 - 100630*w.
-39000*w**2 - 6*w
What is the first derivative of 4*n**3 + 6763*n**2 - 122487 wrt n?
12*n**2 + 13526*n
What is the second derivative of 6413706*s**3 + 22057*s + 47?
38482236*s
Differentiate -8*d*l*m**3*u + 10*d*l + 53*d*m**3*u + d*m**2*u - 16*d*m*u - 88*l*m**2*u with respect to l.
-8*d*m**3*u + 10*d - 88*m**2*u
What is the derivative of -127363*g - 49822?
-127363
What is the third derivative of -1101*y**4 - 741*y**3 + y**2 + 75207*y wrt y?
-26424*y - 4446
What is the second derivative of 62*u**5 + 217*u**2*v**2 - 31*u*v**2 + 12*u*v + 2*v wrt u?
1240*u**3 + 434*v**2
What is the first derivative of -918*v**4 - 12*v**3 - 41744 wrt v?
-3672*v**3 - 36*v**2
What is the derivative of 14866*r + 65867?
14866
What is the second derivative of 819*c**2*r**2 + 2*c**2*r + 22*c**2 + 9*c*r**2 + 1422*c - 24*r wrt c?
1638*r**2 + 4*r + 44
Find the third derivative of -7281*c**3*y + 30*c**3 - 193*c**2*y + 1639*c**2 - 2*y wrt c.
-43686*y + 180
Find the second derivative of l**3*w + 161*l**2*w - 11*l*w - l + 3*w - 14 wrt l.
6*l*w + 322*w
Find the third derivative of 2021*i**4 + 2*i**3 - 8795*i**2 wrt i.
48504*i + 12
What is the third derivative of 146484*f**3 + 127283*f**2 wrt f?
878904
Find the second derivative of 705591*i*u**5 + 629313*i*u + i wrt u.
14111820*i*u**3
What is the third derivative of 2*f**2*m**5 + 21972*f**2*m**4 - 4*f**2*m**2 + 154*m**2 wrt m?
120*f**2*m**2 + 527328*f**2*m
Find the third derivative of -12242*q**6 - 2*q**5 + 2*q**3 - 245*q**2 + 3*q - 46.
-1469040*q**3 - 120*q**2 + 12
Find the first derivative of -116512*g - 168420.
-116512
Find the second derivative of -15*a**5 - 5741*a**3 - 12412*a + 22.
-300*a**3 - 34446*a
What is the third derivative of -2839*j**2*t**3 - 6*j**2*t**2 + 6*j**2*t + j*t**3 + j + 34*t**4 + 985*t wrt t?
-17034*j**2 + 6*j + 816*t
Find the second derivative of 2*u*x**2 + 19*u*x + 2311*u + 56687*x**2 wrt x.
4*u + 113374
What is the third derivative of 43*f*l**5 - 2*f*l + 1016*l**6 + 7*l**2 + 2797*l wrt l?
2580*f*l**2 + 121920*l**3
What is the third derivative of 4608*r**3*t**4 + 8092*r**3*t**2 + 2*r*t**3 + 27*r*t - 2*t**4 + 1 wrt t?
110592*r**3*t + 12*r - 48*t
What is the derivative of 141228*p**3 - 1513890?
423684*p**2
Find the first derivative of -z**4 + 7*z**3 - 3*z**2 - 79*z + 2125224 wrt z.
-4*z**3 + 21*z**2 - 6*z - 79
What is the third derivative of -77846*w**6 - w**4 + 29*w**2 + 562*w + 1 wrt w?
-9341520*w**3 - 24*w
Find the second derivative of -72*a**2*h*x**3 + 164*a**2*h*x**2 + 122*a*h*x - 4*a*x**3 + 6*a*x**2 + 5*h + 1 wrt a.
-144*h*x**3 + 328*h*x**2
What is the derivative of -2*a**3 - 1046751*a**2 + a - 1647930?
-6*a**2 - 2093502*a + 1
Find the first derivative of -h**3*n**3*v - 34*h**3 - 115*h**2*n**3 + 46775*h*n**3*v wrt v.
-h**3*n**3 + 46775*h*n**3
Differentiate -1631*c*w**2 + 688*c*w + 567108*w**2 wrt c.
-1631*w**2 + 688*w
What is the derivative of 152080*b - 1678194 wrt b?
152080
Differentiate 2194*n*s**3 - 15*n*s**2 - 2*n*s - 7*n + 1536*s**3 - 817 with respect to n.
2194*s**3 - 15*s**2 - 2*s - 7
Find the second derivative of 26138*r**4 + 449*r + 8.
313656*r**2
What is the derivative of -293863*p**4 - 2*p + 5853318 wrt p?
-1175452*p**3 - 2
Differentiate 479*h*p**3 - 12627*h + 37*p**3 with respect to p.
1437*h*p**2 + 111*p**2
Find the first derivative of -2*b**4 - 81*b**3 - 95*b + 102987 wrt b.
-8*b**3 - 243*b**2 - 95
Find the third derivative of -2*b*s**4 - 38*b*s**3 + 10*b*s**2 - 5*s**4 + 45*s**3 - 117 | {
"pile_set_name": "DM Mathematics"
} |
76/39 and -77/2829.
36777
Calculate the common denominator of -73/157390 and -71/10.
157390
Calculate the smallest common multiple of 202316 and 16.
809264
Calculate the smallest common multiple of 6 and 350626.
1051878
What is the least common multiple of 7884 and 657?
7884
Calculate the lowest common multiple of 49 and 686.
686
Find the common denominator of -18/2483 and -83/6448.
1231568
What is the lowest common multiple of 5 and 33480?
33480
Find the common denominator of -29/8592 and 109/2148.
8592
Find the common denominator of 61/6 and 32/388633.
2331798
What is the common denominator of -34/1754739 and 60/2144681?
19302129
Calculate the common denominator of -54/50141 and -77/1482.
300846
Calculate the common denominator of -79/5770 and -167/17310.
17310
Calculate the common denominator of 113/10 and -77/8782.
43910
Find the common denominator of -5/77694 and 35/3.
77694
Find the common denominator of 17/3630 and -16/9075.
18150
Calculate the common denominator of -107/258 and 44/10019.
60114
Calculate the common denominator of 101/1764 and -69/2092.
922572
Calculate the common denominator of 127/2380 and 127/5880.
99960
Find the common denominator of -52/30345 and -157/43350.
303450
What is the smallest common multiple of 1793 and 539?
87857
Find the common denominator of -68/46179 and -73/205240.
1847160
What is the lowest common multiple of 42 and 66906?
66906
Calculate the lowest common multiple of 1314400 and 5200.
17087200
Calculate the smallest common multiple of 341285 and 9751.
341285
What is the smallest common multiple of 63140 and 98?
441980
Find the common denominator of 37/158096 and 113/492.
474288
Calculate the common denominator of 117/220 and -89/410.
9020
Calculate the lowest common multiple of 510 and 25194.
125970
Calculate the smallest common multiple of 96726 and 7896.
386904
What is the common denominator of 23/36358 and 107/2058?
109074
Find the common denominator of 46/139881 and 87/26644.
559524
Calculate the common denominator of -77/16146 and -25/12.
32292
Find the common denominator of -7/17390 and -62/8319.
3078030
Calculate the common denominator of 17/3195 and 19/10.
6390
Calculate the common denominator of 71/8 and 15/8626.
34504
Calculate the smallest common multiple of 4818 and 3066.
33726
What is the lowest common multiple of 14 and 13580?
13580
What is the smallest common multiple of 40 and 855700?
1711400
Calculate the least common multiple of 172470 and 38.
3276930
What is the common denominator of 117/1630280 and 61/67672?
17933080
Find the common denominator of 53/87024 and -53/480.
870240
Calculate the common denominator of 87/102316 and 79/12.
306948
Find the common denominator of -107/2922 and -83/953546.
2860638
Find the common denominator of 14/82875 and 153/9100.
2320500
What is the common denominator of -101/9288 and -113/648?
27864
Calculate the smallest common multiple of 280 and 1232.
6160
Calculate the common denominator of 43/363975 and -39/10.
727950
What is the smallest common multiple of 37364 and 74728?
74728
Calculate the common denominator of -43/41584 and -105/4048.
457424
Find the common denominator of -43/988 and -10/1121.
58292
What is the smallest common multiple of 118440 and 1260?
118440
Calculate the common denominator of 15/163112 and 137/122334.
489336
Calculate the common denominator of 8/387 and 105/946.
8514
Calculate the smallest common multiple of 44 and 261.
11484
What is the smallest common multiple of 1757 and 179465?
1256255
Find the common denominator of -19/143994 and 29/294.
7055706
What is the least common multiple of 356 and 19224?
19224
Calculate the smallest common multiple of 3088 and 81832.
163664
Find the common denominator of -21/188848 and 97/348.
566544
What is the common denominator of 117/29060 and -137/156?
1133340
What is the lowest common multiple of 327933 and 83?
327933
Find the common denominator of 107/120 and -131/1236.
12360
What is the least common multiple of 46844 and 42?
140532
What is the smallest common multiple of 34 and 30922?
525674
What is the common denominator of -13/99894 and 7/6?
99894
Calculate the lowest common multiple of 13468 and 26.
13468
What is the common denominator of -139/1086 and -9/1546?
839478
Calculate the smallest common multiple of 96 and 1089.
34848
What is the smallest common multiple of 6 and 8097?
16194
Calculate the common denominator of 3/220 and 111/34760.
34760
What is the least common multiple of 175 and 1135?
39725
Calculate the common denominator of -6/11063 and -29/148.
44252
Calculate the smallest common multiple of 12042 and 72252.
72252
What is the least common multiple of 7889 and 588?
94668
Calculate the common denominator of 8/5231 and 7/824.
4310344
Calculate the common denominator of 97/216 and -49/12216.
109944
Calculate the least common multiple of 570 and 18.
1710
What is the smallest common multiple of 2584 and 10778?
819128
Calculate the common denominator of 67/734 and 107/114.
41838
What is the least common multiple of 855 and 2736?
13680
Calculate the common denominator of 91/6 and 17/431219.
2587314
What is the lowest common multiple of 27082 and 220?
270820
What is the least common multiple of 317960 and 160?
1271840
Calculate the least common multiple of 3996 and 740.
19980
Find the common denominator of -173/546 and 73/378.
4914
Calculate the lowest common multiple of 77 and 74987.
524909
What is the least common multiple of 15180 and 191130?
4204860
What is the least common multiple of 248 and 11222?
44888
Calculate the least common multiple of 30846 and 11.
339306
Find the common denominator of 83/49532 and 73/580.
247660
Calculate the smallest common multiple of 1309 and 34111.
579887
What is the lowest common multiple of 20 and 427946?
4279460
Calculate the common denominator of 97/1098 and -93/107482.
967338
What is the common denominator of 37/21133 and 26/35?
105665
What is the common denominator of 61/20408 and -45/88?
224488
What is the lowest common multiple of 124 and 51056?
1582736
Calculate the smallest common multiple of 46024 and 598312.
598312
What is the common denominator of 139/22350 and -157/232440?
1162200
Find the common denominator of 73/490 and -71/375683.
3756830
What is the smallest common multiple of 733850 and 146770?
733850
Calculate the common denominator of -30/8303 and -41/7942.
182666
What is the lowest common multiple of 44452 and 5?
222260
Find the common denominator of 21/5738 and -33/5738.
5738
What is the common denominator of 5/11 and 17/4224?
4224
What is the least common multiple of 9470 and 9470?
9470
Find the common denominator of -61/43340 and 69/19700.
216700
Find the common denominator of -61/21805 and -11/4984.
174440
Calculate the common denominator of -59/117 and 73/201.
7839
What is the common denominator of 37/1300 and 61/460?
29900
Calculate the common denominator of 95/2862 and 53/45.
14310
Calculate the lowest common multiple of 114465 and 153.
5837715
Calculate the lowest common multiple of 156 and 1248.
1248
What is the least common multiple of 9936 and 30544?
824688
Calculate the common denominator of -151/8364 and -83/7872.
133824
Calculate the common denominator of -69/1295 and 86/3885.
3885
Find the common denominator of 8/13079 and 43/91553.
91553
Calculate the smallest common multiple of 282 and 221934.
221934
What is the smallest common multiple of 362366 and 7?
2536562
What is the lowest common multiple of 9480 and 1580?
9480
Calculate the common denominator of -43/75 and -61/34225.
102675
Find the common denominator of -38/2433 and 125/18.
14598
Calculate the smallest common multiple of 8303 and 456.
199272
Calculate the least common multiple of 51048 and 264.
561528
What is the common denominator of 16/12735 and 49/14150?
127350
What is the least common multiple of 117382 and 19?
117382
What is the common denominator of -39/561454 and -91/2672?
4491632
What is the least common multiple of 8190 and 198?
90090
Calculate the lowest common multiple of 1830 and 165.
20130
Calculate the common denominator of -97/29414 and 53/432806.
3029642
Find the common denominator of 101/403378 and 103/18.
3630402
What is the smallest common multiple of 46124 and 7096?
92248
Calculate the common denominator of -173/300 | {
"pile_set_name": "DM Mathematics"
} |
plify (t**(-3)/t*t**4*t)/((t/t**(-2))/t*t*t*(t*t*t/t**(-3))/t) assuming t is positive.
t**(-8)
Simplify i/(i**(1/19)/i*i*i)*i**18 assuming i is positive.
i**(341/19)
Simplify (i*i**(-2/67))/i**(-11/3) assuming i is positive.
i**(932/201)
Simplify d/d**13*d*d**(4/3) assuming d is positive.
d**(-29/3)
Simplify (z*z/(z**22*z))/z*z**(2/49) assuming z is positive.
z**(-1076/49)
Simplify g**(-9/2)/g*g*(g/g**(-6)*g)/g assuming g is positive.
g**(5/2)
Simplify (y**(2/11)*y)**(-2/163) assuming y is positive.
y**(-26/1793)
Simplify (g*g/(g/g**(-2/9)))**(-4/9)*g**(-1/5)*g/(g/(g*g/(g**1/g)*g)) assuming g is positive.
g**(994/405)
Simplify ((((l*(l/(l*l*l**(3/14)*l))/l)/l)/l*l)/l*l**(-2/9)*l)**(2/21) assuming l is positive.
l**(-433/1323)
Simplify (g/g**(1/12))**(-11/8) assuming g is positive.
g**(-121/96)
Simplify (q**(1/2))**(5/2)/((q/(q/(q**(1/10)/q)))/q**7) assuming q is positive.
q**(183/20)
Simplify (k**(-1)/(k*k**0*k))/(k**0)**(-13) assuming k is positive.
k**(-3)
Simplify (i*i**(-4))/i**(-9)*i/((i/(i*i**(-1/2)))/i)*i/(i*i**(-7)) assuming i is positive.
i**(29/2)
Simplify (((h/h**(-5/6))/h)/((h*h/h**(-7)*h)/h))/(h/((h/((h*h**(1/2)/h)/h))/h))**(-5/3) assuming h is positive.
h**(-22/3)
Simplify (m*m/(m*m**(3/13)))**(-3) assuming m is positive.
m**(-30/13)
Simplify (a**(24/5))**(-36) assuming a is positive.
a**(-864/5)
Simplify (a**(-1/2))**(-49)/(a**4/a**(-4)) assuming a is positive.
a**(33/2)
Simplify (t*t**(3/20)*t)**12 assuming t is positive.
t**(129/5)
Simplify j**(-25)/(j*((j*j**(2/19)/j*j)/j)/j) assuming j is positive.
j**(-477/19)
Simplify ((x*(x/x**(2/17))/x)/(x*x**6))/(x**(-2/7)/(x*x*x/(x/x**(1/2)))) assuming x is positive.
x**(-793/238)
Simplify ((x**(4/7)/x)/x*x*(x*x**0*x)/x*x*x*x)**39 assuming x is positive.
x**(975/7)
Simplify (k**1)**(-22)*(k**(1/3))**45 assuming k is positive.
k**(-7)
Simplify (f**(-37))**(-2/101) assuming f is positive.
f**(74/101)
Simplify j**37/(j*j**26*j) assuming j is positive.
j**9
Simplify ((o/(o*o*o*(o*o**(2/9))/o))/(o**(1/6)*o*o))/(o**(-2/3)*o**4) assuming o is positive.
o**(-139/18)
Simplify ((a*a**(-1))/a**(7/5))**0 assuming a is positive.
1
Simplify (z**(-1/11)*z)**2 assuming z is positive.
z**(20/11)
Simplify m**8/((m*m**(-11)*m)/m) assuming m is positive.
m**18
Simplify c**(2/69)*c*c*c**0*c assuming c is positive.
c**(209/69)
Simplify (t**(-7)/t*t*t**(-2/5))**(1/26) assuming t is positive.
t**(-37/130)
Simplify u/(u*(u*u*u**(-24)*u*u)/u)*u*u**(1/15) assuming u is positive.
u**(331/15)
Simplify ((n**(6/11)*n)/(n**(-4)/n))**(-1/22) assuming n is positive.
n**(-36/121)
Simplify c*c/c**(10/7)*c*(c/((c**(-13)*c)/c))/c assuming c is positive.
c**(102/7)
Simplify (k**(-3/2)/k*k/k**(-4/3))/(k**(-1/4)*k*k)**(-2/25) assuming k is positive.
k**(-2/75)
Simplify (r*((r**(-1/4)*r)/r)/r*r*r)**7*(r*r**(-1/2)/r*r)/r**(3/10) assuming r is positive.
r**(249/20)
Simplify (j/j**(-1/2))**(9/4)*(j*j*j**(-2/3)*j)/(j**(-2/13)/j*j) assuming j is positive.
j**(1829/312)
Simplify p*p**7*p/(p*p**(-1/3))*p**(1/7)/(p/(p**(-2/7)*p*p)) assuming p is positive.
p**(193/21)
Simplify (a**(4/5))**(-9/2) assuming a is positive.
a**(-18/5)
Simplify (p/(p/p**0))**45 assuming p is positive.
1
Simplify (z**(3/22)*z*z)/(z/(z/z**(-30))) assuming z is positive.
z**(707/22)
Simplify ((s**(-2/9))**(-8))**(-19/5) assuming s is positive.
s**(-304/45)
Simplify (o**(-6))**(-2/11) assuming o is positive.
o**(12/11)
Simplify s*s/(s/s**26)*s**(-28) assuming s is positive.
1/s
Simplify o**(-5)/o*o*o**(2/21)*(o/(o*o*o*(o/(o/(o*o/((o/o**3)/o))))/o*o)*o)/o*o/((o*o**(-3))/o) assuming o is positive.
o**(-166/21)
Simplify (r/(((r*r**32/r*r)/r)/r)*r)/(r/(r/r**(-26))) assuming r is positive.
r**(-3)
Simplify (z/(z*z/(z/(((z*z**(2/13))/z*z)/z)*z)))/(z/(z**(-2/13)/z))*z**5/z**3 assuming z is positive.
z**(9/13)
Simplify (o**(2/9)/o)/(o**(-1/9)/o)*(o**(-5)*o)/(o**(6/7)*o) assuming o is positive.
o**(-116/21)
Simplify ((s*s/((s/(s**(-8)/s))/s)*s)/(s**(-2/3)/s))**(-32/7) assuming s is positive.
s**(416/21)
Simplify (u/((u**(3/20)/u)/u*u)*u)/(u*u*((u/u**21)/u)/u*u) assuming u is positive.
u**(437/20)
Simplify (c/(c/c**(11/4)))/c*(c**(-14)*c)/c assuming c is positive.
c**(-49/4)
Simplify p*p*p/p**(-22)*(p**(-2/5)/p)/p assuming p is positive.
p**(113/5)
Simplify n/(n*n**(-1)*n*n*n)*(n*n**21)/n assuming n is positive.
n**19
Simplify (v/v**1)**(-1/12)/(v**(-5)/v*v**(2/7)/v) assuming v is positive.
v**(47/7)
Simplify ((m**(2/5)/m)**44)**(-2/67) assuming m is positive.
m**(264/335)
Simplify z**(-2/3)*z*(z*z/z**0*z)/z*z*z**(-1/3)*(z**4/z)/z assuming z is positive.
z**5
Simplify i**21*i/(i/(i/i**25)*i) assuming i is positive.
i**(-4)
Simplify (x**6)**(-4/5) assuming x is positive.
x**(-24/5)
Simplify (o**(-1/3)/o*o)**37/((o/o**(-1/5)*o)/((o/(o*o**(-1/9)))/o)) assuming o is positive.
o**(-694/45)
Simplify (w*w*w**(9/4)*w*w/(w/(((w**(-1/2)/w)/w)/w)))**(-27) assuming w is positive.
w**(-189/4)
Simplify v**(2/51)*v**(14/9) assuming v is positive.
v**(244/153)
Simplify ((i*i**(1/17)/i*i)/i)/(i/(i**(-29)/i*i)) assuming i is positive.
i**(-509/17)
Simplify z**(-26)/z**(-2/13) assuming z is positive.
z**(-336/13)
Simplify (p*p*p*p**(-5)*p/(p*p*p*((p/p**4)/p*p)/p*p)*p)**(-30) assuming p is positive.
1
Simplify b**(1/17)/((b**15/b)/b) assuming b is positive.
b**(-220/17)
Simplify (v*v**11)**(-1/8) assuming v is positive.
v**(-3/2)
Simplify (n/n**(1/3))**2*(n/(n*n**(2/5)))**19 assuming n is positive.
n**(-94/15)
Simplify (j*j**(-10)*j*j/(j*j**(-3)))**45 assuming j is positive.
j**(-225)
Simplify (g*g*(g/(g/(g*g/(g/g**0*g))*g))/g)**(-2/49)*g/(((g*g/g**(5/3))/g*g)/g)*g**(-2/9) assuming g is positive.
g**(13/9)
Simplify (a**(-2))**(1/34)*(a**1)**(7/3) assuming a is positive.
a**(116/51)
Simplify ((u**(-2/17)/u*u)/u**(1/4))**(-14) assuming u is positive.
u**(175/34)
Simplify ((p*p/p**(3/14)*p*p)/p**(-2))**10 assuming p is positive.
p**(405/7)
Simplify g/(g/g**15)*g*g*g*g**(-36) assuming g is positive.
g**(-18)
Simplify g**(8/3)/g*g*g**22 assuming g is positive.
g**(74/3)
Simplify ((r*r/((r/r**(-4/5))/r)*r)/r*r**(-3)/r)/(r*(r/(r/(r*r**(2/7))))/r*r*r)**46 assuming r is positive.
r**(-5388/35)
Simplify v**(1/7)/(v*v**(4/7)*v)*v**(1/11)/v*v/(v*v*v**8) assuming v is positive.
v**(-950/77)
Simplify (q/(q**(-4/5)/q))**(3/7) assuming q is positive.
q**(6/5)
Simplify f**(2/3)*f*((f*(f/(f/((f/(f/(f/f**(1/6)*f*f)))/f*f))*f)/f*f)/f)/f*f*f/(f/(f**(3/10)/f))*f**(-3/4) assuming f is positive.
f**(81/20)
Simplify (b**6*(b/b**(2/27)*b)/b)/(b**(-1/2)/(b**7*b)) assuming b is positive.
b**(833/54)
Simplify (t**(-3)*t*t/(t/(t/(t*t*t**5))))/(t*t**0*t**(-2/5)*t) assuming t is positive.
t**(-48/5)
Simplify (f*f**(2/3)/f)**12 assuming f is positive.
f**8
Simplify (k**(-2))**(4/5)/(k*(k*k/(k/(k*k/(k*k*k**(-4)*k)))*k*k*k*k)/k*k*(k/(k/(k*(k**6*k)/k))*k)/k) assuming k is positive.
k**(-88/5)
Simplify (w*w**(-2)/w*w**(-2))**26 assuming w is positive.
w**(-104)
Simplify (y**(1/2))**0*(((y/(y/((y**6/y)/y)*y))/y)/y)/y**5 assuming y is positive.
y**(-4)
Simplify t*t*t/(t**(-23)/t)*t*t**(-16)/t assuming t is positive.
t**11
Simplify (v/((v**3/v*v)/v))**(4/5) assuming v is positive.
v**(-4/5)
Simplify (y**(-1/5))**(-1) assuming y is positive.
y**(1/5)
Simplify i**(-15)*(i*i**(1/9))/i*i assuming i is positive.
i**(-125/9)
Simplify d/d**25*d*d**(-8) assuming d is positive.
d**(-31)
Simplify (t**(-3)*t/t**(2/5)*t)/(t**(-5)/t**0) assuming t is positive.
t**(18/5)
Simplify (x**(4/11)/x*x**(2/7))/(x**(-3/2)*x**(-5)) assuming x is positive.
x**(947/154)
Simplify ((w/(w/(w*w/(w*w*w**(-3/7)))))/((w/((w*w**(-5))/w)*w)/w))**(-2/3) assuming w is positive.
w**(26/7)
Simplify (k**(-2/17)*k)/k*k*k/(k*k**2*k) assuming k is positive.
k**(-36/17)
Simplify ((p**(4/5)/p)**(-30))**(-1/27) assuming p is positive.
p**(-2/9)
Simplify (s/s**(-3/4)*s)/(s/(s/(s*s**16*s))*s) assuming s is positive.
s**(-65/4)
Simplify (j*j/(j/(j/(j**2/j))))**(-1/16)/((j*(j*j*j/((j/(j**(-2)/j)*j*j)/j))/j)/(j/(((j*j*j**(-4))/j)/j)*j)) assuming j is positive.
j**(127/16)
Simplify (((v/(v/((v/v**8)/v)))/v)/(v**(-1/4)/v))/((v**(-4)/v*v)/v**(-2/7)) assuming v is positive.
v**(-113/28)
Simplify (l**(-10))**29 assuming l is positive.
l**(-290)
Simplify (f**(-6))**(1/31) assuming f is positive.
f**(-6/31)
Simplify (a*a/(a**0/a)*a**(-8))/(((a*a**(-5)*a)/a*a)/a**(1/2)) assuming a is | {
"pile_set_name": "DM Mathematics"
} |
e 2*i - 2*k = 6*i - 12, d*i + 5*k - 9 = 0 for i.
3
Let h = -95 - -95. Solve 0*j - 17 = -j - 3*v, -4*j + v + 3 = h for j.
2
Let i(m) = 3*m**3 + m**2 - m + 1. Let q be (7/(-28))/((-2)/8). Let f be i(q). Solve f*h = -0*j + 3*j - 1, 2*h + 13 = -j for h.
-4
Let y be (-790)/25 - (-4)/(-10). Let g be 4/(-12) - y/6. Solve 2*w + 5*c + g = 7*w, 0 = w + 4*c + 24 for w.
-4
Let y = -23 + 28. Solve -y*o - 3 = 12, -3*f - 4*o = 24 for f.
-4
Suppose 14 = 3*c + 5. Solve 9 + 6 = -c*m - 3*d, -d = 0 for m.
-5
Let b(n) = -n**3 - 3*n**2 - 3*n - 2. Let x be b(-2). Suppose -r + 4 = -x. Solve -3*a + 13 = -4*k, -7*k = -2*k - r*a + 16 for k.
-4
Let r(z) = z**2 - 7*z + 11. Let s be r(8). Solve -5*f - 2*x = -s, 2*f + 2*x + 2 = 6 for f.
5
Suppose 0*q = 3*q. Suppose 2*a - a - 4 = q. Suppose -4*w + 1 = 3*k, -3*k - a*w - 1 = w. Solve t + r + 5 = 0, 0 = 5*t + k*r - 4*r - 5 for t.
0
Suppose 22*r - 50 = 12*r. Solve r*j = 20, -2*w - 3*j - 18 = -6*j for w.
-3
Let a = -13 + 15. Solve 2*m + a = 2*o - 12, o - 2*m - 12 = 0 for o.
2
Suppose -1 = 4*r - 9. Suppose 3*g + 24 = 3*i, 5*i + r*g = -0*i + 19. Let s(u) = u**2 - 7*u - 4. Let x be s(8). Solve -x*a + 2*m + 8 = -2*m, i*m - 2 = 2*a for a.
4
Let o(p) = -p**3 - 14*p**2 - 14*p - 8. Let h be o(-13). Solve -4 = h*d - 2*v + 5*v, 3*v - 6 = 0 for d.
-2
Suppose -3*i - 3 = 2*u, -3*u - 2*u = -3*i - 24. Solve -u*p - 14 = -p + 2*a, 0 = p - 3*a - 9 for p.
-3
Let d = 18 + -14. Let l = -4 + d. Solve l = o - 4*c - 1, o - 2*c = -4*o - 13 for o.
-3
Let i be ((-18)/(-15))/((-6)/(-20)). Solve 3*d = -4*t - 6, -d = -2*t + i*d - 16 for t.
-3
Let d = 11 - 5. Solve 5*f + d + 7 = -3*s, -3*s + f = 1 for s.
-1
Let b = 96 - 93. Solve 3*w = 4*o + 23, b*o + 4*w + 4 = -7 for o.
-5
Suppose r - 4 = -3*r. Let j be (2/6)/(r/3). Solve -4*i = 5*a - j + 9, 3 = i for a.
-4
Let p be (-18)/(-8)*(0 + 4). Let f be p/6*(-1 - -3). Suppose 4*w - 11 = -u, 9 = w - 3*u + 3. Solve 3*n - 5 = 5*d, 0 = 4*n - w*d + 6*d + f for n.
0
Suppose -12*q + 29 - 5 = 0. Solve -2*y - 8 = -2*j, q*y + 5 = j + 4*j for y.
-5
Suppose 0 = -5*p - 5, -4*z + p + 14 + 3 = 0. Solve 3*v + k - 12 = 0, z*k = 2*v - 5*v + 3 for v.
5
Let r(l) = l**2 + l - 1. Let y be r(0). Let i = 3 - y. Solve 4*z + 30 = 2*z + 5*f, i*z - 4*f = -36 for z.
-5
Let a(z) = -z + 0 + 3 - 2 + 1. Let t be a(-10). Solve -4*g + 11 = -3*l, 2*g + 3*g - t = 2*l for g.
2
Let n = -34 - -36. Solve 3*s - 12 = n*x + 2*s, -4*s = -3*x - 23 for x.
-5
Suppose -5*f - 5 = -5*n - 145, -5*n = 4*f - 67. Suppose k + 5*d + f - 3 = 0, 2*d + 10 = 0. Suppose -40 = -i - 3*i. Solve -i = -k*v, -3*b - 14 = -b - 3*v for b.
-4
Let m be 1*5/((-15)/(-6)). Let o = m - -1. Let c(y) = -y**3 - 3*y**2 - 4*y - 2. Let h be c(-2). Solve -o*s - 19 = 2*z, -s + 2*s - z = h for s.
-3
Suppose -4*b - 5 + 29 = -2*t, -5*t - 10 = 0. Solve 0 = 3*c + b*j + 28, -3*c + j + 4 = 2 for c.
-1
Suppose -3*j + 12 = 0, -5*c - 2*j = -7*j + 50. Suppose 0 = u + 4*s - 22, 5*u - 35 = 3*s + 2*s. Let w = u + c. Solve -4*a - l - 1 = 15, -2*l + w = -a for a.
-4
Let a(t) = -3 - 5 + 6 - t. Let s be a(-12). Solve -p = -4*m - 10, 0 = 4*m + 4*p + 10 + s for m.
-3
Let j be (1 + (-1)/3)*6. Let d(x) = -38*x - 33. Let w be d(-1). Solve 0 = -b + u - w*u - 18, -13 = -j*b + u for b.
2
Let u(d) = -d**2 - 9*d + 2. Let k be u(-8). Let c = 17 + 3. Let g be (-1)/(56/c - 3). Solve s + 3*m = -10 - k, 0 = s - g*m - 20 for s.
-5
Let r be (-3)/2 - (-15)/2. Let l be ((-4)/r)/((-6)/18). Solve -4*p - 5 = 5*d + 7, 6 = -l*p - 5*d for p.
-3
Suppose 0*q - 3*q = -21. Solve -4*y - a - q = 0, 7 = -5*y - a - 2*a for y.
-2
Let y = 21 - 17. Solve -5*a + 11 = -2*w, 0*w - y*w = 2*a + 10 for a.
1
Let p(l) = l**2 - 5*l. Suppose -4*i = -3*z - 3 - 20, -2*i + z = -11. Let m be p(i). Suppose m*g = g. Solve -3*o = -g*o + 3*y - 24, -3*y = -5*o for o.
3
Suppose -4*f + f = -15. Suppose 3*n - f*r - 22 = 0, -4*r = 2*n - 3*r + 7. Let o = 3 + n. Solve 2*t - o*h = -2*t - 14, -4*t - 20 = -4*h for t.
-2
Suppose -5*h + 2*h - 3 = 0. Let l be 2/(-3)*3*h. Let w = 10 - 6. Solve f - l = 5*v, -2*f = -5*f - w*v + 6 for f.
2
Let b be (0/(-1))/(-4*9/36). Solve 16 = 5*o - 0*a + 4*a, b = 3*o + 4*a - 16 for o.
0
Let z(d) = d**2 - 6*d - 11. Let p = 15 - 7. Let c be z(p). Suppose -81 = -c*l - 2*r, -3 = -4*r + 9. Solve -4*q = -0*t + 2*t + 18, 5*t = 2*q + l for q.
-5
Suppose -5*i + 4 = -4*c - 4, i - 1 = c. Solve 5*o + 27 = -y, -30 + 5 = 5*y + c*o for y.
-2
Suppose 3*w = 2*z + 2*w + 47, -5*w = -25. Let l be (-12)/(-7) - 6/z. Solve 5*i - g - 4*g = -25, 10 = -3*i - l*g for i.
-4
Let q = 39 - 37. Let g = 5 + -3. Let x(a) = -a**3 - 5*a**2 - 2*a - 7. Let y be x(-5). Solve -y*k + 3*l + 22 = q*k, -l = g*k for k.
2
Let l(b) = -b**3 - 18*b**2 - 31*b + 16. Let z be l(-16). Solve -3*r = -5*t + 19, -2*t + 12 = r - z for t.
5
Let k(r) = -r**2 - 9*r - 5. Let p be k(-7). Solve 3*g - 5*q = 23, -3*q - p = -2*g + 5*g for g.
1
Suppose 0*v = 4*v. Suppose v = -4*n - 2*y - 2, -n + 5 = 4*n + y. Solve 10 = 5*r - n*r + 2*s, -25 = 4*r - 5*s for r.
0
Let r(c) = 4 - 5 - c - 2. Suppose 4*y = -12*y - 80. Let f be r(y). Solve n + 7 = -0*n + 2*m, 0 = -f*n + 2*m - 12 for n.
-5
Let i(n) = -n**2 + 12*n + 3. Let s(l) = l**2 - 11*l - 4. Let p(t) = 6*i(t) + 7*s(t). Let a be p(7). Solve -1 = a*o + 3*u + 2*u, 0 = -2*o - 4*u - 2 for o.
1
Let v be -2 - (-3 + 2 + -11). Let l be v*3*(-2)/4. Let x = l + 52. Solve -16 = -5*t + 3*r, 5*t + r - x = -3*r for t.
5
Let a(g) = -19*g**3 - g**2. Let w be a(-1). Suppose w = 2*n - 4*b, -2*n - b - 3 = -1. Solve p + j = -0*p - n, -j - 21 = 5*p for p.
-5
Let d be (-2)/7 + (-4)/(-14) + 1. Solve -3*m + 2 = -4*m, 3*i + 4*m = d for i.
3
Let t be (24 + 0)/((-6)/4). Let d = -10 - t. Solve b + 19 = -2*r + 4*b, 2*b - d = 0 for r.
-5
Let l be (12/4)/(1/(-6)). Let q be -1 - 1*l/3. Solve 0 = -5*o + q*z - 2 - 8, 2*z - 8 = 3*o for o.
-4
Let f = -11 + 11. Solve -3*z + 3*y + 14 = -13, f = -z - 3*y - 7 for z.
5
Suppose -3*a = 2*a. Solve 5*c = -4*g + 1, a*g - 2*c = 2*g for g.
-1
Let a be (-12)/(-15)*15/2. Suppose a*o = 8*o - 50. Suppose 6*u + 12 = 2*u, 2*r - 15 = 3*u. Solve -5*d = 2*s - o, d + 0*s - 5 = r*s for d.
5
Let c(s) = s**2 + 5*s - 5. Let n be c(-6). Suppose 1 = d - n. Suppose x - 6 = 2*z + z, 5*z = -2*x + 1. Solve 0 = x*f + 3, d*u - 4*f + 8 = -u for u.
-4
Let n be (-2)/5*(-16 - -1). Let a be (-2 - n/2)*-1. Solve -l = -a*m + 14, 0*l - 2*l - 2 = 3*m for m.
2
Let m = -73 + 76. Solve 2*h + 3*z + 15 = 0, -5*z - 25 = m*h - h for h.
0
Let q be 30/45 - 7/(-3). Solve 2*r + 4*d = 10, 2*r = -d - 5 + q for r.
-3
Let k(m) be the second derivative of 1/2*m**2 - 7/20*m**5 + 0 + 0*m**4 + 2*m + 0*m**3. Let v be k(-1). Solve v*l = 4*l - z - 2, -4*l - 10 = -3*z for l.
-1
Suppose 25 = -j + 6*j. Suppose 3*o - 5 + 15 = 4*s, j*o = 5*s - 10. Solve w + o*x = 5, -4*w - 2*x = -x - 20 for w.
5
Suppose -2*p = -3*i - 22, -9 - 13 = -3*p - i. Suppose 0*r - 4*r = -p. Solve r*l - 4 - 2 = 2*o, 1 = -5*l - 3*o for l.
1
Let m(b) = b**3 - 5*b**2 + 6*b. Suppose 3*o - 3 - 9 = 0. Let q be m(o). Let g be 1/3*(2 + 13). Solve q = -k - g*c, -4*c = 5*k + 11 + 8 for k.
-3
Let t(d) = -2*d + 14. Let n be t(6). Solve 5*l - 5*h - 40 = 0, -h - 5 = -n*l + 8 for l.
5
Let t be (-7)/(-1) + 0 + -4. Solve 2*q - t = a, -2*q - 5 = a + 2 for q.
-1
Let b be 3*2 - (-16)/(-8). Suppose 2 = b*n - 10. Solve -n*i - p + 15 = 0, -2 + 15 = 4*i - p for i.
4
Let o be (-9)/(-21) - (-32)/7. Solve 4*p - 7 - 1 = -v, -v - o*p = -9 for v.
4
Let j(a) = -a + 1. Let g be j(-2). Solve f = -3*q - 3*f - 23, -g*f - 26 = 4*q for q.
-5
Let b(t) = -t**3 - 8*t**2 - 6*t + 9. Let k be b(-7). Let u be (-10)/4*(-10)/5. Solve -n + 20 = -u*h, -3*h = -h + k*n + 20 for h.
-5
Let h = 3 - -9. Let v be 3/4*16/4. Solve g = 4*g - h, -5*g = -v*t - 17 for t.
1
Let o(i) = -13*i**2 + 13*i - 2*i + 55*i**3 - 54*i**3 + 12. Let d be o(12). Solve 5*n - 2*r + 12 = d, 5*n - 3*n + 2*r = -2 for n.
-2
Suppose -3*t + 0 = -6. Suppose 3*r = -5*j - 2 - 6, -r = t*j + 4. Solve -r*a - f - 7 = -5*a, 5*f = -3*a - 3 for a.
4
Suppose 4*f = 5*x + 9 - 33, -4*f - 24 = -2*x. Let u be 2 - (f - (-3)/1). Solve -v - 17 = 4*w, 0*v + 4*v + u = 5*w for v.
-5
Suppose 0 = -2*t + 2 + 4. Let w(l) = 3*l + 10 + l - t*l. Let x be w(-7). Solve 4*c = -3*r - c - 18, -c - x = 0 for r.
-1
Suppose -q - 2*q = 0. Suppose 0 = y - 0*y - 2*h, q = 2*h. Solve -5*n = y, 0*d + 4*n = 2*d - 2 for d.
1
Suppose -3*m - 4*w = -13, -3*m + 2*w - 4 = -11. Let i( | {
"pile_set_name": "DM Mathematics"
} |
.
158
Calculate the remainder when 175837 is divided by 56.
53
Calculate the remainder when 1112 is divided by 581.
531
What is the remainder when 394180 is divided by 8?
4
What is the remainder when 1490 is divided by 467?
89
What is the remainder when 36109 is divided by 122?
119
What is the remainder when 33702 is divided by 16724?
254
Calculate the remainder when 1109019 is divided by 675.
669
What is the remainder when 115856 is divided by 332?
320
Calculate the remainder when 9259 is divided by 1321.
12
Calculate the remainder when 52428 is divided by 364.
12
What is the remainder when 214 is divided by 208?
6
What is the remainder when 1105957 is divided by 10?
7
What is the remainder when 17373 is divided by 90?
3
Calculate the remainder when 36958 is divided by 36.
22
What is the remainder when 28838 is divided by 40?
38
Calculate the remainder when 80638 is divided by 252.
250
Calculate the remainder when 45786 is divided by 654.
6
Calculate the remainder when 26575 is divided by 97.
94
What is the remainder when 7990 is divided by 127?
116
What is the remainder when 498100 is divided by 81?
31
Calculate the remainder when 17846 is divided by 33.
26
What is the remainder when 46241 is divided by 340?
1
Calculate the remainder when 216153 is divided by 108.
45
What is the remainder when 12221 is divided by 126?
125
Calculate the remainder when 601109 is divided by 45.
44
Calculate the remainder when 2374 is divided by 2365.
9
Calculate the remainder when 8459 is divided by 4196.
67
Calculate the remainder when 2778 is divided by 100.
78
Calculate the remainder when 12109 is divided by 1859.
955
What is the remainder when 63873 is divided by 159?
114
Calculate the remainder when 309 is divided by 309.
0
What is the remainder when 5470 is divided by 1087?
35
What is the remainder when 2904 is divided by 1448?
8
What is the remainder when 2822 is divided by 91?
1
Calculate the remainder when 842351 is divided by 336.
335
What is the remainder when 19025 is divided by 110?
105
What is the remainder when 66540 is divided by 2377?
2361
What is the remainder when 105435 is divided by 13178?
11
What is the remainder when 70746 is divided by 64?
26
Calculate the remainder when 2100754 is divided by 34.
30
What is the remainder when 2975 is divided by 732?
47
Calculate the remainder when 6934 is divided by 126.
4
What is the remainder when 86794 is divided by 62?
56
Calculate the remainder when 4141161 is divided by 62.
57
What is the remainder when 76997 is divided by 64?
5
Calculate the remainder when 6535 is divided by 486.
217
Calculate the remainder when 25905 is divided by 53.
41
What is the remainder when 4897 is divided by 42?
25
Calculate the remainder when 5023367 is divided by 252.
251
Calculate the remainder when 7711 is divided by 9.
7
What is the remainder when 4035 is divided by 805?
10
Calculate the remainder when 62451 is divided by 1301.
3
Calculate the remainder when 6286 is divided by 630.
616
What is the remainder when 454378 is divided by 14?
8
Calculate the remainder when 4973 is divided by 1285.
1118
Calculate the remainder when 12575 is divided by 16.
15
What is the remainder when 2568 is divided by 828?
84
Calculate the remainder when 3007 is divided by 162.
91
What is the remainder when 58251 is divided by 8316?
39
What is the remainder when 300508 is divided by 53?
51
What is the remainder when 86968 is divided by 85?
13
Calculate the remainder when 317199 is divided by 1220.
1219
Calculate the remainder when 6475 is divided by 190.
15
What is the remainder when 379704 is divided by 41?
3
Calculate the remainder when 226828 is divided by 226819.
9
What is the remainder when 31244 is divided by 93?
89
Calculate the remainder when 1566 is divided by 897.
669
Calculate the remainder when 45236 is divided by 119.
16
Calculate the remainder when 1280997 is divided by 71.
15
Calculate the remainder when 744903 is divided by 109.
106
Calculate the remainder when 615 is divided by 25.
15
Calculate the remainder when 23903 is divided by 649.
539
Calculate the remainder when 21479 is divided by 40.
39
What is the remainder when 56238 is divided by 1105?
988
Calculate the remainder when 338137 is divided by 220.
217
What is the remainder when 10173 is divided by 1402?
359
What is the remainder when 326152 is divided by 32?
8
What is the remainder when 108024 is divided by 2348?
16
Calculate the remainder when 16111 is divided by 129.
115
Calculate the remainder when 3262 is divided by 204.
202
What is the remainder when 8217 is divided by 685?
682
Calculate the remainder when 574 is divided by 271.
32
Calculate the remainder when 885181 is divided by 49.
45
Calculate the remainder when 29258 is divided by 27.
17
Calculate the remainder when 4826 is divided by 245.
171
Calculate the remainder when 21305 is divided by 2367.
2
What is the remainder when 6353 is divided by 120?
113
Calculate the remainder when 205815 is divided by 27.
21
What is the remainder when 19749 is divided by 267?
258
What is the remainder when 4175 is divided by 823?
60
What is the remainder when 27198 is divided by 33?
6
Calculate the remainder when 812561 is divided by 74.
41
Calculate the remainder when 34609 is divided by 3460.
9
Calculate the remainder when 2135 is divided by 711.
2
Calculate the remainder when 125425 is divided by 3.
1
Calculate the remainder when 25277 is divided by 43.
36
What is the remainder when 71255 is divided by 11811?
389
What is the remainder when 9060 is divided by 88?
84
Calculate the remainder when 3992 is divided by 3839.
153
Calculate the remainder when 24267 is divided by 18.
3
Calculate the remainder when 36651 is divided by 12216.
3
What is the remainder when 15290 is divided by 566?
8
What is the remainder when 8199 is divided by 1267?
597
Calculate the remainder when 15441 is divided by 642.
33
What is the remainder when 13160 is divided by 528?
488
What is the remainder when 183965 is divided by 61318?
11
What is the remainder when 291936 is divided by 441?
435
Calculate the remainder when 529613 is divided by 17.
12
Calculate the remainder when 63217 is divided by 614.
589
What is the remainder when 81063 is divided by 27012?
27
Calculate the remainder when 1479 is divided by 308.
247
Calculate the remainder when 168835 is divided by 1897.
2
Calculate the remainder when 22076 is divided by 166.
164
What is the remainder when 170765 is divided by 821?
818
What is the remainder when 21988 is divided by 204?
160
Calculate the remainder when 133936 is divided by 151.
150
Calculate the remainder when 142 is divided by 32.
14
Calculate the remainder when 78314 is divided by 2060.
34
Calculate the remainder when 2681 is divided by 62.
15
Calculate the remainder when 31229 is divided by 64.
61
What is the remainder when 1134 is divided by 144?
126
Calculate the remainder when 15843 is divided by 117.
48
Calculate the remainder when 4817 is divided by 140.
57
What is the remainder when 68635 is divided by 110?
105
Calculate the remainder when 2126 is divided by 425.
1
What is the remainder when 15918 is divided by 20?
18
What is the remainder when 1509 is divided by 1285?
224
Calculate the remainder when 8256 is divided by 1576.
376
Calculate the remainder when 39721 is divided by 4964.
9
What is the remainder when 40687 is divided by 1564?
23
What is the remainder when 5101 is divided by 2545?
11
What is the remainder when 89172 is divided by 2785?
52
Calculate the remainder when 855 is divided by 344.
167
What is the remainder when 135273 is divided by 239?
238
What is the remainder when 1144 is divided by 84?
52
What is the remainder when 999993 is divided by 125?
118
Calculate the remainder when 872 is divided by 272.
56
Calculate the remainder when 246005 is divided by 28.
25
What is the remainder when 186 is divided by 47?
45
What is the remainder when 126486 is divided by 17?
6
What is the remainder when 97090 is divided by 151?
148
What is the remainder when 144645 is divided by 246?
243
Calculate the remainder when 2419 is divided by 271.
251
What is the remainder when 18059 is divided by 10?
9
Calculate the remainder when 2445743 is divided by 157.
154
What is the remainder when 4786 is divided by 339?
40
| {
"pile_set_name": "DM Mathematics"
} |
+ 2*p - 1 + (2*p - p + p)*(1 - 2 - 1))*(-3 + 1 + 1)) to the form o*p + f*p**3 + y + r*p**2 and give f.
2
Rearrange (-2 - h**2 + 2)*(h - 4*h + 4*h) + (4*h**2 - 3*h**2 - 3*h**2)*(-5*h + 4*h + 3*h) to s*h**2 + b + n*h**3 + i*h and give n.
-5
Rearrange 5*f**2 - 9*f**2 - 46*f**2 to the form m*f**2 + l*f + h and give m.
-50
Rearrange (1 - 1 - 1)*(o - 5*o + 5*o - 3*o - 2*o + 7*o + (1 + 0 + 1)*(-o - 2*o - 3*o)) to the form k*o + a and give a.
0
Rearrange -14*t**2 - 12 + 6 + 6 to the form i + a*t + q*t**2 and give q.
-14
Rearrange -6*o + o - 12*o to d + a*o and give a.
-17
Express 8*k + 23*k - 20*k + 3*k**2 in the form q + l*k**2 + a*k and give q.
0
Express (-1 + 1 + 3)*(-3*a + a + a)*(a + 2 + 0*a + a) in the form w*a**2 + c*a + y and give c.
-6
Rearrange 576*h + 3 - 608*h - 3 to the form t*h + p and give t.
-32
Rearrange -5*c**4 + 49*c**2 + 56*c**2 - 2 - 106*c**2 - 3*c**3 to o*c + j*c**3 + r*c**2 + v + l*c**4 and give l.
-5
Express -11*b - 429 + 429 as r*b + l and give r.
-11
Express 5 - 12 + 7 - 5*y + 4*y**2 in the form m*y**2 + l + t*y and give m.
4
Rearrange (-5 - 1 + 5)*(26*f - 62*f - 29*f) to the form w + l*f and give l.
65
Rearrange 15*l - 22 + 22 + (0 - 4 + 3)*(3 - 5 + 0)*(2 - l - 2) to the form o*l + d and give o.
13
Express h**3 + 9641*h**2 - 9641*h**2 + 19 + 2*h in the form s*h**3 + p*h + m + x*h**2 and give m.
19
Rearrange (-3 + 3 + k**3)*(k - 4*k + 5*k) - 11*k**4 + k**4 - 2*k**4 to the form j + o*k + y*k**2 + b*k**3 + m*k**4 and give m.
-10
Express -18*m**3 + 2*m + 123 - 2*m - 121 as w*m**2 + o*m**3 + u + f*m and give u.
2
Rearrange (10*a + 2*a**2 - 6*a + a**2)*(-2 + 3 + 1)*(-4*a**2 - 2 + 2) to c*a + v*a**2 + o + g*a**3 + m*a**4 and give m.
-24
Rearrange (0 + 2 + 0)*(-4*k**4 - k**4 + 7*k**4) + 10*k**3 - 10*k**3 - 56*k**4 to d*k + c*k**4 + s + g*k**3 + f*k**2 and give c.
-52
Express -k**2 + 2*k**3 + k**2 + k**4 - 5*k + 2*k in the form a*k**4 + j + i*k**2 + p*k + q*k**3 and give q.
2
Express (19*q + 348 - 348)*(-4*q + 0 + 2*q + 3) as c*q**2 + t + k*q and give k.
57
Express (2*t**3 + 0*t**3 + t**3)*((2 - 1 + 1)*(3*t - 4*t + 0*t) - t + 5*t - t) as a*t**2 + y*t**3 + q*t + v + n*t**4 and give n.
3
Express -301*x + 149*x + 153*x - 2 + 5 in the form a + l*x and give a.
3
Rearrange (-36*q - 7*q + 7*q)*((1 - 2 - 1)*(-q - 2*q + 5*q) + 2*q + 1 - 1) to the form t + h*q + m*q**2 and give m.
72
Express 41*l + 2 + 1 - 3 as k + q*l and give q.
41
Rearrange ((-b + 0*b + 3*b)*(-1 + 3 - 4) + 2*b - 2*b - b)*(-1 - 3 + 6) to l*b + f and give l.
-10
Rearrange 55 - 55 - 176*c to the form a + o*c and give o.
-176
Rearrange -6*o - 6*o + 5*o to a*o + v and give a.
-7
Express (-6*h**3 + 3*h**3 + 0*h**3)*(7*h + 0*h - 5*h) as x*h**4 + n*h**2 + b + y*h + u*h**3 and give x.
-6
Rearrange (3 - 1 + 0)*(-l**2 - 3*l**2 + 3*l**2) + l**2 - 2 + 2 + 1593*l - 1593*l + 49*l**2 to the form w + u*l**2 + q*l and give u.
48
Rearrange 62*g + 14*g + 8*g - 29*g to u*g + q and give u.
55
Rearrange -8*b**3 - 4*b**2 + 1 + 3*b**2 - b + 2*b**4 + 9*b**3 + 0*b to l*b**2 + x*b + z + c*b**4 + u*b**3 and give z.
1
Express (3*i + 3 + 4*i - 6*i)*(-3*i + 5*i - 4*i)*(0 - 2 + 5) as h*i**2 + k*i + o and give k.
-18
Express 22*u + 0*u + 35*u + 3*u in the form f*u + o and give f.
60
Rearrange (-b + 3*b + 2*b + (4 - 4 + 2*b)*(-4 + 4 + 1))*(-3 + 4 - 10) to the form c + o*b and give o.
-54
Express -2*w**3 + 4*w**3 - 5*w**2 + 3*w**2 + 3 in the form z*w**2 + j*w + h*w**3 + l and give z.
-2
Rearrange (-2*v + v + 2*v)*((-v + 4*v - v)*(-5 + 5*v**2 + 5) + 3*v**3 + 0*v**3 - 2*v**2 + 0*v**2) to the form j*v + q*v**4 + a*v**3 + k*v**2 + w and give k.
0
Rearrange -2*k**2 - 2*k + 0 - 7 + 4 to f*k**2 + z + v*k and give v.
-2
Express -6*d + 7*d**2 + 2*d + 6*d as p*d + t*d**2 + a and give a.
0
Rearrange (-2*p + 2*p - 2*p)*(-21 + 10 - 11)*((-1 - 2 + 4)*(0 + 0 - 2*p) + p - 3*p + 0*p + p + 3*p - 2*p) to l*p + c + g*p**2 and give g.
-88
Rearrange (5*o - 2*o - o)*(-279*o + 74*o**3 + 279*o) to the form c*o**4 + i*o**2 + g + x*o + w*o**3 and give c.
148
Express 2*z**2 + 23 + 4*z - 51 + 30 as u*z**2 + b + t*z and give b.
2
Express 28*t + 2*t + 4*t**2 - 7*t**2 + t**2 as j + m*t**2 + f*t and give f.
30
Express -19 + m**2 + 19 + 7*m**3 as h*m**3 + c*m**2 + o + q*m and give h.
7
Express 13*h + 7*h + 4 - 4 as b*h + z and give b.
20
Rearrange -2*w**4 - 3*w**4 + 3*w**4 + (12*w**4 - 14*w**4 + 25*w**4)*(-1 - 1 + 3) to the form d*w**3 + c*w**4 + u + v*w + g*w**2 and give g.
0
Express (7 + 8*n**3 - 7)*(-2 + 1 + 2*n - 8*n) as j + r*n**2 + b*n**3 + o*n + y*n**4 and give y.
-48
Express 2*j + 15*j + 17*j + 0*j in the form d + c*j and give d.
0
Express (7*d - 7*d - 4*d**2)*(-1 - 2 + 1)*(-1 + 1 - 7*d) as q*d**3 + w + k*d**2 + o*d and give q.
-56
Express 1658 + 12*j - 1658 as t*j + w and give t.
12
Rearrange ((4 - 3 - 3)*(4 - 3 - 3) + 1 + 2 - 5)*(-27*f + 71*f - 29*f)*(-f + f - 2*f**3) to a*f**2 + s*f + q*f**4 + b + v*f**3 and give q.
-60
Rearrange (0 - 2 + 0)*(20*o**3 - 18*o**3 - 10*o**3) + (o + 0*o - 6*o)*(-1 + 1 - 3*o**2) to m*o**2 + z*o + x + p*o**3 and give p.
31
Rearrange -3 - 2*u**2 - 2 + 7 to the form k*u + s*u**2 + b and give b.
2
Rearrange (6*t**2 - 4*t**2 + 0*t**2)*(4*t - 5*t + 2*t)*(1 + 3 - 6) to the form q*t**2 + l*t + m*t**3 + h and give m.
-4
Express (-l**4 + l + 6 - 4 + l)*(10 + 2 + 1) in the form n*l**3 + t*l**4 + x*l**2 + k*l + b and give b.
26
Rearrange -58 - 15*q**4 + 58 + q - 3*q**3 to the form w*q**4 + b*q + f*q**3 + g*q**2 + k and give w.
-15
Rearrange 18*g**2 - 7*g - 1 + 1 + 4*g to the form u + b*g + r*g**2 and give r.
18
Express (x**3 + 4*x**3 - 2*x**3)*(-3 + 3 + 2*x) + 5*x**4 + 9*x**4 + 2*x - 11*x**4 as v*x**4 + z*x**3 + t*x + i + w*x**2 and give v.
9
Express 6 + 3 + x**2 - 8 - x as o*x + d + p*x**2 and give o.
-1
Rearrange -1 + 5*t**2 + t**3 + 2*t**4 - 6*t**2 - 4*t**4 to x*t**3 + d*t**2 + l*t**4 + r + a*t and give r.
-1
Express -4 + 22*t**2 + 5 - 1 in the form d*t**2 + c + o*t and give d.
22
Express -2*y**2 + 0*y + 0*y + (4 + 2*y**2 - 4)*(-4 + 3 + 3) + 41*y**2 + 165 - 165 in the form l*y**2 + b*y + h and give l.
43
Rearrange -2408 + 3*t**2 - 4*t**3 + 2408 + t**3 - 5*t**3 + 3*t**3 + (0 + t + 0)*(-2*t**2 + 0*t**2 + 0*t**2) to f*t**3 + z + o*t**2 + i*t and give f.
-7
Rearrange (7*b - 7*b + 2*b)*(-b**3 + 5*b**3 - 2*b**3) - 4*b**4 + 2*b**4 + 3*b**4 to the form a + r*b + x*b**2 + s*b**4 + i*b**3 and give s.
5
Express -3*j**2 + 4*j + 3*j - 4*j in the form v*j**2 + n + b*j and give v.
-3
Express 0*c**2 - 6*c**2 - 4 + c**2 + 4*c**2 - 5*c**2 - c**2 + (c - 1 + 1)*(0*c - c - c) in the form j*c**2 + t*c + x and give j.
-9
Express -3*n**2 + 4*n**2 - 4 + 0*n**2 + 0*n**4 + n - 2*n**4 as c*n + h + z*n**2 + k*n**4 + y*n**3 and give c.
1
Rearrange (1 - y - 1)*(-4*y**3 + y**3 + 0*y**3) to the form v*y**2 + a*y**4 + w*y + t + k*y**3 and give a.
3
Express (4*g + 3*g**2 - 4*g)*(1 - 5*g + 3*g + 17*g) in the form o + j*g + m*g**2 + u*g**3 and give u.
45
Rearrange (-3*h + 4*h + 2*h)*(-2*h**2 + h**2 + 30*h**2) to i*h + r + d*h**3 + s*h**2 and give d.
87
Rearrange -9*i**2 + 11*i**2 + 19*i + 105*i to the form w*i**2 + r*i + s and give w.
2
Rearrange 0*l**2 - l**4 + l**3 + 0*l**4 - 4*l + 2*l**2 to the form i*l**3 + y*l**2 + o*l + j + m*l**4 and give o.
-4
Rearrange 33*d**2 + 26*d**2 - 60*d**2 to the form a*d**2 + s + z*d and give a.
-1
Rearrange o**3 + 2*o**3 + o - 2*o**3 + o**4 - 3*o**2 to l + f*o**2 + w*o**3 + v*o**4 + y*o and give v.
1
Express (-3 + 3 - 2*o)*(2 - 4 + 4)*(4 - 1 - 4) in the form b + q*o and give b.
0
Express 1 + 5277*w**2 - 2*w**3 - 5277*w**2 - 31*w in the form c*w**3 + u*w**2 + v*w + f and give f.
1
Rearrange -4 + 2*z + 0*z**3 - 2*z**2 - 4*z**2 + z**3 + 5*z**2 to the form j*z**2 + g*z**3 + d + c*z and give j.
-1
Rearrange (1 + 2 - 4 + (3 - 3 + 2)*(-3 - 2 + 3) + 2 - 3 + 3)*(57*f + 28*f + f**2 - 6*f) to the form m + s*f + c*f**2 and give m.
0
Express 5*v + 2*v**3 - 2*v - 11 + v**3 - v in the form u + f*v**3 + y*v + d*v**2 and give f.
3
Express 7*i + 7*i - 5*i + ((-2 + 2*i + 2)*(-2 + 4 - 4) - i - i + 4*i - 2*i + 0*i + 0*i)*(1 + 3 - 5) as s + j*i and give j.
13
Rearrange -18 - 2*c + 12 + 4*c**2 - 3*c**2 + c**4 to v*c**3 + x + p*c + h*c**4 + i*c**2 and give p.
-2
Rearrange 6 + 2*y**3 - y**3 - 3 + 0*y**3 + y**3 - 2*y**3 + (-y + y + 2*y**2)*(0*y + 4*y - 6*y) to the form m*y**3 + h*y**2 + b*y + r and give b.
0
Rearrange 15*t - 53*t - 14* | {
"pile_set_name": "DM Mathematics"
} |
-22 = -5*z + 3. Suppose -z = v - 0. Let c(l) = l**3 + 6*l**2 + 5*l + 6. Determine c(v).
6
Let x = -1 - 0. Let n(s) = 4*s + 7. Let r(c) = 4*c + 6. Let z(o) = 6*n(o) - 7*r(o). Calculate z(x).
4
Let l be (-3)/(-2) + 28/(-8). Let k(n) = -4*n - 3. Give k(l).
5
Let w(p) = p - 4. Suppose 8*d = 4*d. What is w(d)?
-4
Let o(h) = -4*h - 3. Let j = -4 - -6. Suppose 0 = m - 0*m - 4*z + 6, 2*z - 6 = j*m. What is o(m)?
5
Let i(y) = 4*y + 71. Let p be i(-19). Let r(w) = -5 - w + 2 - 1. Determine r(p).
1
Let x(k) = 4*k + 7. Let z(t) = -7*t - 13. Let r(c) = 11*x(c) + 6*z(c). Suppose 4*p - 5*v = 18 - 7, -2*p + 2*v + 4 = 0. Give r(p).
-3
Let j(s) be the second derivative of -s**4/6 + s**3/2 + s. Suppose 6*c + 5*z = c, 3*z + 10 = -c. Suppose c*i = -5*l - 5, -i + 3 = 3*l - 0. Calculate j(l).
-2
Let c be (-21)/(-3) + -2 + -1. Let p = -9 + c. Let h(f) = -f + 3 - 3. What is h(p)?
5
Let m(k) = -7*k - 2. Let b(x) = -16*x - 5. Let v(t) = 4*b(t) - 9*m(t). Suppose 4*q - 3*p - 18 = 0, -2*p = 5*q + p - 36. Give v(q).
-8
Let u(d) = 2*d**3 - 3*d**2 - 3*d**3 - 1 + 0*d**3 + 4*d. Suppose 5*j - 4*g = -5*g - 23, 3*g = 2*j - 1. Let w be u(j). Let p(h) = h - 1. What is p(w)?
-2
Let s(m) = 8*m - 3. Let j(k) = 24*k - 8. Suppose -5*w + 8 = -3*w. Let x(r) = w*j(r) - 11*s(r). Suppose -4*d - 2*z - 4 = 0, -2*d - 3*d = -3*z + 5. What is x(d)?
-7
Let g(z) = z**2 - 6*z + 5. Suppose 0 = -3*m - 4 - 5. Let p = 0 - m. Suppose -2*a + 2*v - 18 = -7*a, 9 = p*a + 3*v. Calculate g(a).
-3
Suppose -33 = -0*j - 3*j. Let y = 17 - j. Let x(t) = t**2 - 7*t + 5. Give x(y).
-1
Let k(p) = p**2 - 2*p - 1. Let t(y) = 3*y**2 - 3*y - 3. Let w(h) = 5*k(h) - 2*t(h). Let f(l) = l**3 - 3. Let c be f(0). Calculate w(c).
4
Let p(q) = q. Let m be (10/3)/((-16)/(-24)). What is p(m)?
5
Let a(q) = 5*q - 3. Let v(l) = -6*l + 3. Let g(k) = -7*a(k) - 6*v(k). Let s(n) = n**3 - 10*n**2 + 8*n + 5. Let f be s(9). What is g(f)?
-1
Let g(l) be the second derivative of l**3/6 + l**2/2 + 7*l. Let v be g(3). Let k(r) = r**2 - 2*r. Give k(v).
8
Let k(w) be the third derivative of -5*w**4/12 - w**3/6 + 4*w**2. Calculate k(-1).
9
Suppose -5*n + 3 = -3*c + 2*c, 0 = -3*c - 3*n - 9. Suppose 3*s - 5*l + 2*l = 6, -2*l = -3*s + 4. Let i(b) = -3*b + s + 7*b + 0 + 3. Determine i(c).
-9
Let a(n) = -n**3 - n**2 + 2. Let o be a(0). Suppose -o*u = 2*u. Let d(z) = -z**2 - 9. What is d(u)?
-9
Let v(l) be the second derivative of l**5/20 + 7*l**4/12 + 4*l**3/3 + 3*l**2/2 + 3*l. What is v(-6)?
-9
Suppose 3*p = 13 + 11. Let a(v) = -v**2 + 10*v - 11. Let t be a(p). Let f(x) = -x + 2. Give f(t).
-3
Let p(g) be the third derivative of -g**5/120 + g**4/12 + 5*g**3/6 + 5*g**2. Let a(w) be the first derivative of p(w). Determine a(-5).
7
Let i(m) = m + 8. Suppose 7 - 37 = 5*z. Calculate i(z).
2
Suppose 12 = -2*r + 2*d, 5*r = d - 0*d - 50. Let t = r + 7. Let c(k) be the first derivative of k**4/4 + 5*k**3/3 + 3*k**2 + 5*k - 1. Calculate c(t).
-3
Let h = 18 - 13. Let g(r) = r**3 - 6*r**2 + 5*r - 6. Give g(h).
-6
Let a(k) be the first derivative of -k**2/2 + k + 90. Suppose -7*b + 4*b = 0. Let i be 0 + (-2 + 3)*b. Give a(i).
1
Let c(t) = t**2 + 5*t - 7. Suppose 5*x = x + 3*p - 30, -5*x = -5*p + 40. What is c(x)?
-1
Let b(t) = -t**2 + t - 1. Let f(q) = 3 + 4*q**2 + 0*q + 0*q**3 - 3*q + q**3. Let m(n) = 5*b(n) + f(n). What is m(2)?
6
Let g = 9 + -11. Let u = -1 - g. Let v be 3*u*(-4)/(-4). Let w(d) = -2*d + 2. Calculate w(v).
-4
Let m(h) = -h**2 - 5*h - 3. Let b = 11 - 9. Suppose 3*q + 5 = b*q. What is m(q)?
-3
Let f(q) = q**2 + 5*q - 2. Let v(z) = z - 1. Let n(g) = g - 11. Let m(u) = -n(u) + 2*v(u). Let y be m(-7). Suppose 8 + 0 = -y*t. Determine f(t).
-6
Suppose -3*m - 5 = 1, 0 = 2*z + 4*m - 2. Let o(i) be the second derivative of i**4/12 - 5*i**3/6 + 3*i**2/2 - i. Calculate o(z).
3
Let b = 2 - 0. Let h(s) = -3 - 2 - s + b. Let f(j) = -j + 4. Let y be f(4). Calculate h(y).
-3
Let a = -17 + 23. Let z(w) = w**2 - 7*w + 4. Determine z(a).
-2
Let d(l) = l**3 + 4*l**2 + 3*l + 1. Suppose -2*u - 2 = 4*m - 4, 0 = -5*u + 5*m - 25. What is d(u)?
1
Let u(g) be the third derivative of g**4/12 + g**3/6 - g**2. Suppose c - 12 = 2*s, 0 = s - 5*c + 15 + 9. Give u(s).
-7
Let y(q) be the first derivative of -q**6/360 + q**5/30 - 5*q**4/24 - q**3/3 + 3. Let l(t) be the third derivative of y(t). Calculate l(5).
-10
Let m = 11 - 5. Let u(g) = 2*g + m - g - 4*g + 4*g. Determine u(-3).
3
Let i(b) = 2*b**3 + 4*b**2 - b + 1. Suppose 0 = -2*r + r - 3. Calculate i(r).
-14
Let l(b) = -9*b + 1. Let a = -9 - -11. Calculate l(a).
-17
Let p(i) be the second derivative of -i**4/12 - i**3 - i**2/2 - 10*i. Give p(-6).
-1
Let o(x) = -10*x - 13. Let y(b) = 7*b + 9. Let v(u) = -5*o(u) - 7*y(u). Give v(-2).
0
Let m(c) = -c**2 + 1. Let j(x) = 3*x - 19. Let l be j(7). Determine m(l).
-3
Let r(q) = -7*q**2 - 2*q - 1. Let v(a) = a. Let x be v(3). Suppose 6 = 3*j + x*b, 2*j + 11 = 3*j + 4*b. Calculate r(j).
-6
Let y(r) = 13*r**2 + 2 - 3 - 16*r**2 - 5*r**2. Calculate y(-1).
-9
Let i(g) be the first derivative of 5*g**2/2 - 2*g - 3. Calculate i(2).
8
Let p(k) = -2*k**2 + 5*k + 8. Let r(d) = -3*d**2 + 10*d + 15. Let v(j) = -5*p(j) + 3*r(j). Let w(i) = -2*i. Let a be w(2). Determine v(a).
1
Let j(y) = 2*y - 2*y**2 - y**2 + 0*y. Let g(m) = m**2 + 3*m + 2. Let f be g(-3). What is j(f)?
-8
Suppose 0*w - 2*w = 12. Let m(x) = 3*x**3 - 23*x**2 - 8*x - 9. Let u(q) = q**3 - 8*q**2 - 3*q - 3. Let h(i) = w*m(i) + 17*u(i). What is h(2)?
-3
Suppose 0 = z - 6*z + 5. Let y(u) = 31*u - 11*u - 14*u. Give y(z).
6
Let g(s) be the second derivative of -s**4/12 - s**3 - 2*s**2 + 4*s. Determine g(-3).
5
Let u(f) = -f - 5. Suppose -2*c = 3*b + 4, -3*b - c = -0*c + 2. Suppose 0 = -b*x + 5*x. What is u(x)?
-5
Let k(m) = m - 3. Suppose v = 4*f + f, 4*v = -2*f. What is k(f)?
-3
Let k(l) = -3*l**2. Let v(x) be the third derivative of x**4/24 + 5*x**3/6 - 2*x**2. Let o be v(-6). Give k(o).
-3
Suppose 11*h - 15*h = 4. Let i(b) = -5*b + 0*b + 5 - 4. Determine i(h).
6
Let z(g) = 15 - 26 + g + 14. Determine z(-5).
-2
Let s(w) = -w + 3. Let y be s(-3). Let q(i) = -i**2 + 5*i + 3. Calculate q(y).
-3
Let a = 1 - -2. Suppose -20 = -5*i, -2*i + 10 = a*r + 2*i. Let u(c) = 2*c - 2 - c + 0*c. Give u(r).
-4
Suppose -22*t = -27*t - 20. Let o(i) = -i**3 - 5*i**2 - 4*i - 6. What is o(t)?
-6
Let c(v) = -6*v + 2. Let t(x) be the third derivative of 7*x**4/24 - x**3/2 + x**2. Let n(s) = 6*c(s) + 5*t(s). Suppose 5*i - 14 - 11 = 0. Give n(i).
-8
Suppose -5*p - 33 = 4*t, -t + 3 = -p - 0. Let s(a) = -4 + 3*a - 3*a + 3*a - 5*a. Let r(n) = 3*n + 5. Let w(u) = -3*r(u) - 4*s(u). Determine w(p).
6
Suppose -3*o + 5*v = -17, o + 2*v - 2 + 0 = 0. Let h(d) = d - 6. Calculate h(o).
-2
Suppose -4*i + 20 = -4*f + f, -3*f = 2*i - 10. Suppose f*x + x - 2 = 0. Let u(g) = -g**3 - 2*g**2 + 2*g + 2. What is u(x)?
-10
Let p(h) = 2*h + 5. Let z(k) = 4*k + 9. Let f(i) = 7*p(i) - 4*z(i). What is f(4)?
-9
Let t(r) = -4*r - r + 1 + 0 - 2*r - r**2. What is t(-6)?
7
Let g(s) be the second derivative of -s**3/6 - s**2/2 + 2*s. Suppose 0 = -2*c - 8. Calculate g(c).
3
Let x be (1 + -1)/((-2)/2). Let r(k) = k + x - 5 + 3 - 2*k. Give r(-1).
-1
Let x(u) = -u**2 - 8*u - 6. Let o be x(-6). Let i(b) = -b**3 + 6*b**2 + 2*b - 6. Determine i(o).
6
Let t(d) = -6*d**3 - 30*d**2 + 15. Let g(y) = -y**3 - 6*y**2 + 3. Let r(z) = 11*g(z) - 2*t(z). Give r(6).
3
Let r(o) = -5*o - 4. Let l(n) = -4*n - 5. Let z(s) = -4*l(s) + 3*r(s). Let t(a) = -a**2 - 7*a + 3. Let x be t(-7). Suppose 0 = -v + x - 9. Calculate z(v).
2
Let u(o) be the second derivative of 7*o**5/20 + o**4/6 - o**3/3 + o**2/2 - 6*o. What is u(1)?
8
Let p(k) be the second derivative of -k**6/20 - k**5/60 + k**4/24 + k**3/6 + 2*k**2 + 2*k. Let x(z) be the first derivative of p(z). Give x(-1).
5
Suppose -4*n - 12 = -4*z, -3*n + 7*n + 44 = -4*z. Let x = -2 - n. Let f(m) = m**2 - 3*m - 1. Give f(x).
9
Let h(o) = -3*o + 2. Let u(b) = -b**2 + 5*b - 2. Let s be u(4). Determine h(s).
-4
Let p be (0 - -2) + 6 + -1. Let s(n) = -n**3 + 6*n**2 + 6*n + 2. Determine s(p).
-5
Let a(r) be the third derivative of r**5/60 - r**4/24 + 7*r**3/2 - r**2 - 26. What is a(0)?
21
Let z(x) = -3 - 2*x - 3 + 3. Let k = -1 + 5. Let o = 0 - k. Give z(o).
5
Let r(l) = l**2 - 2. Suppose 3*x + 10 = 8*x. Suppose 0 = -3*h + 4*h - x. Suppose -w + 1 = 2*o - 3, -w = -h*o. Calcula | {
"pile_set_name": "DM Mathematics"
} |
+ z**2 - t*z**c - 7 wrt z?
-6
Let y(n) be the first derivative of 3*n**4 + 10*n - 96. Let j(k) = k**2 + 24*k**3 - k**2 + 19. Let g(f) = 3*j(f) - 5*y(f). Differentiate g(u) wrt u.
36*u**2
Let c(u) be the second derivative of 8*u**6/15 - u**5/4 - 313*u**4/12 + 3*u - 87. Find the third derivative of c(w) wrt w.
384*w - 30
Let p = 0 + 8. Let j = 11 - p. Differentiate -3*t + 4*t + t - 2 - j*t with respect to t.
-1
Let y = -32 + 47. Find the first derivative of 16*i - i + 2 - y - 2 wrt i.
15
Find the third derivative of 179*m - 179*m - 1078*m**3 + 137*m**2 wrt m.
-6468
Let c(y) be the first derivative of 0*y**2 + 0*y**4 + 0*y**3 + 3 + 3/5*y**5 - 11*y. Differentiate c(m) with respect to m.
12*m**3
Let b = -24 - -29. What is the third derivative of 22*y + 20*y**b + 17*y**2 - 22*y wrt y?
1200*y**2
Let g(u) = u**2 + 17*u. Let l(h) = -2*h**2 - h**2 + 4*h**2 - 3*h**2 - 18*h. Let d(o) = 7*g(o) + 6*l(o). What is the second derivative of d(r) wrt r?
-10
Suppose -12 = -8*c + 5*c. What is the second derivative of 2*f + 7*f**c + 34*f**4 - 42*f wrt f?
492*f**2
Let s(b) = -b**2 - b + 1. Let l(y) = -16*y**2 - 9*y - 8. Let m = 52 + -51. Let f(d) = m*l(d) + 5*s(d). Find the second derivative of f(j) wrt j.
-42
Let w(m) be the third derivative of -m**8/42 + m**5/20 - 59*m**4/24 + 13*m**2 + 9*m. What is the second derivative of w(k) wrt k?
-160*k**3 + 6
Let m(z) be the third derivative of -31*z**4/24 + 47*z**3/3 - 85*z**2. What is the derivative of m(w) wrt w?
-31
Let u(j) = -j**2 + 14*j + 11. Let r be u(14). Differentiate -r*h - 36 + 29*h - 15*h - 9 wrt h.
3
Let c(m) = -87*m**4 - 2*m**2 + 7*m + 4. Let a(n) = 173*n**4 + 3*n**2 - 15*n - 9. Let s(r) = -4*a(r) - 9*c(r). What is the third derivative of s(o) wrt o?
2184*o
Suppose -3*f + i = -0*f + 4, f = i. Let t be (-1)/(-2 + 3)*f. What is the third derivative of 4 - 4 + 6*o**5 + 0*o**t - o**2 wrt o?
360*o**2
Let k = 32 + -33. Let j(g) = -g**4 - g**3 - 8*g**2. Let v(n) = n**6 + n**4 + n**3. Let y(o) = k*v(o) - j(o). What is the third derivative of y(x) wrt x?
-120*x**3
Let u be 3*(-1 + 40/15). What is the third derivative of 0*z**2 + 5*z**6 + u*z**2 + 4*z**6 wrt z?
1080*z**3
Let y(p) = 63*p - 70. Let k(d) = 3*d + 1. Let g(c) = 4*k(c) + y(c). Differentiate g(u) with respect to u.
75
Suppose 0 = j - 14 - 8. Find the third derivative of -21*l**2 + 37*l**3 - 42*l**2 + j*l**2 wrt l.
222
Let s(k) = k**3 - k**2 + k. Let t(y) = -38*y**3 + 3*y**2 - 3*y + 9. Let b(r) = 3*s(r) + t(r). Find the first derivative of b(q) wrt q.
-105*q**2
Let y(h) be the third derivative of -97*h**7/210 + 27*h**3/2 + 25*h**2. Differentiate y(v) with respect to v.
-388*v**3
What is the first derivative of 505*g**2 - 505*g**2 - 3*g - 5*g**3 - 61 wrt g?
-15*g**2 - 3
Let g(y) be the first derivative of y**3 + 12*y**2 - 72*y + 21. Differentiate g(d) wrt d.
6*d + 24
Let u(v) be the first derivative of -65*v**6/6 + v**2/2 + 7*v - 26. What is the second derivative of u(k) wrt k?
-1300*k**3
Let b = -76 - -78. Find the second derivative of s + 14*s**b + 4*s**2 - 16*s wrt s.
36
Let i(n) be the second derivative of 3*n**5/20 + n**4/6 - 30*n**2 - 9*n - 9. What is the derivative of i(u) wrt u?
9*u**2 + 4*u
What is the second derivative of -733*y**3 - 56 + 600*y + 28 + 28 wrt y?
-4398*y
Let l(b) be the third derivative of 23*b**6/24 + 151*b**4/24 + b**2 - 13*b. Find the second derivative of l(u) wrt u.
690*u
Let d(n) be the third derivative of 17*n**7/105 + n**6/40 + n**5/30 + 13*n**4/3 - 100*n**2 - 1. What is the third derivative of d(f) wrt f?
816*f + 18
What is the second derivative of 3 - 324*x**3 - 2 + 181*x**2 - 395*x + 322*x**3 wrt x?
-12*x + 362
Let i = -16 - -56. Suppose y - i = -y. What is the first derivative of 9 - 20*w + y*w - w**4 + 0*w**4 wrt w?
-4*w**3
Let i(f) = -9*f**4 - 47*f**3 + 71*f**2 + 1. Let h(u) = 5*u**4 + 23*u**3 - 35*u**2 - 1. Let n(d) = 7*h(d) + 4*i(d). What is the third derivative of n(l) wrt l?
-24*l - 162
Suppose -22*u + 39 = -71. Let y(t) be the second derivative of 1/6*t**3 - 1/20*t**5 + 0 + 0*t**2 - u*t + 0*t**4. Find the second derivative of y(r) wrt r.
-6*r
Let z(r) = -r + 3. Let p(m) = -31*m - 34. Let o(g) = -p(g) - 2*z(g). Find the first derivative of o(v) wrt v.
33
What is the second derivative of -18*r**2 + 8*r + 29*r - 17*r**2 - 16*r**2 + 3 - 5*r**2 wrt r?
-112
Let m = -48 + 74. Suppose -2 + 0 = h + n, 5*h - 4*n - m = 0. What is the derivative of -h*b**4 + 3*b**4 + 7 - 4 wrt b?
4*b**3
Suppose -3*w + 8 + 4 = 0. What is the second derivative of -24*r**5 + 7*r**5 - 3*r - w*r wrt r?
-340*r**3
What is the first derivative of 21 + 0 - 7 + 160*o + 18 + 56*o wrt o?
216
Let i(b) be the first derivative of -249*b**2/2 + 629*b - 249. Differentiate i(g) with respect to g.
-249
Find the second derivative of -28*y + 6421 - 6421 + 266*y**4 wrt y.
3192*y**2
Let g(a) = a - 3. Let n be 144/14 - 6/21. Let c be g(n). Differentiate 2*h**4 - c*h**4 + 4*h**4 - 1 + 3 wrt h.
-4*h**3
Let j(m) be the third derivative of -11*m**9/168 - m**5/15 - 95*m**2. Find the third derivative of j(z) wrt z.
-3960*z**3
Let a = 20 - 4. Find the first derivative of -30 - a*t + 0*t + 40 + 0*t wrt t.
-16
Let f(t) = 181*t**3 - 270*t**2 + 7. Let a(r) = 60*r**3 - 90*r**2 + 2. Let c(s) = 7*a(s) - 2*f(s). Find the third derivative of c(x) wrt x.
348
Let s(l) be the third derivative of -l**7/210 - l**6/20 - l**5/6 + 62*l**2. Find the third derivative of s(y) wrt y.
-24*y - 36
What is the third derivative of -13*g**5 + 128*g**2 - 7*g**4 + 183*g**2 + 4*g**4 - 123*g**2 + g**4 wrt g?
-780*g**2 - 48*g
Let t(c) be the third derivative of c**5/60 + c**4/2 + 5*c**2. Let v be t(-12). What is the third derivative of v*l**2 + 2*l**6 + l**2 + 6*l**6 - 2*l**6 wrt l?
720*l**3
Let f(p) be the first derivative of -283*p**2 + 340*p + 221. Differentiate f(g) wrt g.
-566
Let l(u) be the second derivative of -1/3*u**3 - 4*u**2 + 0 - 12*u. What is the derivative of l(g) wrt g?
-2
Differentiate 699 + 3616*a**2 + 6*a - 1811*a**2 - 1803*a**2 with respect to a.
4*a + 6
What is the derivative of -311 + 38*g**3 + 493*g**2 + 85*g**4 - 86*g**4 - 493*g**2 wrt g?
-4*g**3 + 114*g**2
Let x(w) be the second derivative of -17*w**4/4 - 49*w**3 + 380*w. What is the second derivative of x(k) wrt k?
-102
Find the first derivative of 8*z + 83 + z - 276 - 4*z**4 wrt z.
-16*z**3 + 9
Find the third derivative of -2*j**6 + 19*j**4 + 22*j**2 + 141*j**4 - 3*j**4 wrt j.
-240*j**3 + 3768*j
Let h(g) be the second derivative of 14*g**6/15 + 5*g**3 - 3*g**2 + 406*g. What is the second derivative of h(w) wrt w?
336*w**2
Suppose 5 = 5*t - 4*v - 1, -2*v = -t. Suppose t*u - 3*u = -3. Differentiate -20*z**3 + 7*z**4 + 20*z**u + 7 with respect to z.
28*z**3
Let n(d) be the second derivative of -149*d**4/12 + d**3/2 + 39*d**2/2 + 82*d + 3. Find the second derivative of n(k) wrt k.
-298
Suppose 10*g - 42 + 2 = 0. Differentiate 282*y**3 - 8 + 31*y**g - 282*y**3 with respect to y.
124*y**3
Let p be 4*(-22)/(-28) + 19/(-133). What is the third derivative of 2*b**3 - 11*b**p - 10*b**2 + 6*b**3 + b**3 wrt b?
-12
Let f be 1 - (1 - (3 + 0)). What is the third derivative of -h**2 - h**2 - 3*h**f + 5*h**2 + 6*h**2 wrt h?
-18
Let l(h) = 2*h**3 + 51*h**2. Let n(a) = -2*a**3 - 51*a**2. Let w(q) = -5*l(q) - 6*n(q). Find the third derivative of w(b) wrt b.
12
Suppose 2*f = f + 65. Suppose 3*b - f = -2*b. What is the derivative of 0 + b + 8*u**4 - 5 wrt u?
32*u**3
Suppose -5*v + 7*v + 4 = 0. Let r = -2 - v. What is the second derivative of 2*p**3 + 4*p + r*p + 2*p**3 - p**3 wrt p?
18*p
Let g(p) be the second derivative of 39*p**7/7 - 65*p**4/3 - 122*p - 1. Find the third derivative of g(k) wrt k.
14040*k**2
Let u(v) be the third derivative of v**8/112 - 43*v**5/60 + 17*v**4/8 + v**3/6 + 18*v**2 - 7. What is the second derivative of u(b) wrt b?
60*b**3 - 86
Let l(y) = 13*y**4 - 115*y**3 + 5*y**2 - 14*y. Let m(s) = 2*s**4 - s**3 + s**2. Let c(g) = -l(g) + 5*m(g). What is the second derivative of c(u) wrt u?
-36*u**2 + 660*u
Let p be (-9)/11 + 1 - 2/11. Let k(s) be the third derivative of 0 + p*s + 0*s**4 + 1/60*s**5 + s**2 - 2/3*s**3. Differentiate k(z) with respect to z.
2*z
Suppose 13 + 53 = 2*d. Let o = 37 - d. Find the second derivative of 5*f**4 + o*f + 3*f**5 - 5*f**4 + 5*f**5 wrt f.
160*f**3
Let t(w) = 90*w - 1. Let j be t(3). Suppose 9*m = | {
"pile_set_name": "DM Mathematics"
} |
42.
9009*i**3
Collect the terms in 125*j**3 + 104*j**3 + 7451*j**2 - 7451*j**2.
229*j**3
Collect the terms in -53279*j + 1894*j**3 + 53279*j.
1894*j**3
Collect the terms in 201427*w**2 - 100711*w**2 - 100710*w**2.
6*w**2
Collect the terms in 108*g**3 + 46*g**3 - 1 + 1.
154*g**3
Collect the terms in 1770*f**3 + 0 + 3 + 2*f - 1 + 1.
1770*f**3 + 2*f + 3
Collect the terms in 2*l - 84*l**2 + 5*l + 98*l**2 - 7*l.
14*l**2
Collect the terms in 0*l + 644*l**2 - 317*l**2 - 322*l**2 - 4*l + 4*l.
5*l**2
Collect the terms in -44689*k**2 - 85 + 85.
-44689*k**2
Collect the terms in -84474 + 84474 - 3*i.
-3*i
Collect the terms in -149 - 860 - 79*c + 3*c**3 - 5*c**3 + 79*c.
-2*c**3 - 1009
Collect the terms in 5775*t - 21*t**2 - 41*t**2 + 5782*t - 11557*t.
-62*t**2
Collect the terms in 2*s + 50954 - 50954.
2*s
Collect the terms in -1035 + 6*d - 1299 + 2334.
6*d
Collect the terms in 996 - 996 + 63*w + 22*w.
85*w
Collect the terms in 10*m**3 + 72417*m - 72425*m - 3*m**3.
7*m**3 - 8*m
Collect the terms in -3446 - 157*o + 3446 + 794*o.
637*o
Collect the terms in -5187 + 6*g**2 + 1726 + 1731 + 1730.
6*g**2
Collect the terms in -13021*a - 1 + 16847*a + 1.
3826*a
Collect the terms in 5*h - 44 - 3*h + 71 - 207.
2*h - 180
Collect the terms in -22*v - 22 + 22 + 12*v - 12*v.
-22*v
Collect the terms in 2*i**2 - 117*i - 115*i - 4*i**2 - 135*i + 329*i.
-2*i**2 - 38*i
Collect the terms in -143*g + 210*g - 129*g + 4*g**2 - 5*g**2.
-g**2 - 62*g
Collect the terms in 57*f + 175*f + 28*f.
260*f
Collect the terms in 40*p - 151*p + 33*p + 34*p + 30*p.
-14*p
Collect the terms in -1 + 15*s**3 - 723*s**2 - 712*s**2 + 1435*s**2 - 2.
15*s**3 - 3
Collect the terms in 0*r**3 + 4 + 28 - 8*r**3 + 9*r**3 - 8*r**3 + 8*r**3.
r**3 + 32
Collect the terms in 11241 + 11240 - 169*f - 22481 - 273*f.
-442*f
Collect the terms in -415 - 641 + 1056 + 3*s**3.
3*s**3
Collect the terms in -76*r**2 - 83*r**2 + 162*r**2.
3*r**2
Collect the terms in -2044687533 + 2044687533 - 5*b.
-5*b
Collect the terms in 21*t**2 - 27*t**2 - t**2.
-7*t**2
Collect the terms in -9*x**2 - 232 + 655 - 423.
-9*x**2
Collect the terms in 1055 - 16*s - 1056 + 6*s.
-10*s - 1
Collect the terms in -107*a**2 - 109*a**2 + 219*a**2.
3*a**2
Collect the terms in -7693*q**3 - 3799*q**3 - 611*q**3 + 26 - 25.
-12103*q**3 + 1
Collect the terms in 108*r - 18*r**2 + 101*r - 208*r.
-18*r**2 + r
Collect the terms in -15 - 813*s + 401*s + 409*s + 26.
-3*s + 11
Collect the terms in -14121*m**2 + 4935*m**2 - 18914*m**2.
-28100*m**2
Collect the terms in -p - 3 + 261*p**2 + 355*p**3 + 3 - 260*p**2.
355*p**3 + p**2 - p
Collect the terms in -10*b - 36 + 8*b - 89 - 5*b.
-7*b - 125
Collect the terms in 3*k - 4*k - 479*k**3 - 34 - 28 + 0*k.
-479*k**3 - k - 62
Collect the terms in 1468 - 2945 + 26*y**3 - 11*y**3 + 1477.
15*y**3
Collect the terms in u - 2015476 + 2015476.
u
Collect the terms in 225*g - 608*g + 212*g + 217*g.
46*g
Collect the terms in 11218*h**2 + 11226*h**2 + h**3 - 22444*h**2.
h**3
Collect the terms in -162113*p - 3*p**2 + 324228*p - 162115*p.
-3*p**2
Collect the terms in 2*r**2 - 25*r + 106*r**3 + 9*r + 3*r + 13*r.
106*r**3 + 2*r**2
Collect the terms in 3*x + 135*x + x - 2.
139*x - 2
Collect the terms in 15*u**2 - 35*u**2 + 0*u**3 - 15*u**3.
-15*u**3 - 20*u**2
Collect the terms in -7960*t - 3 + 7959*t + 3 + 0.
-t
Collect the terms in -54*l + 13*l - 39*l - 61*l - 1.
-141*l - 1
Collect the terms in -2961*j - 17*j**2 - 2869*j + 5830*j.
-17*j**2
Collect the terms in -g**2 - 222*g + 4*g**2 + 222*g.
3*g**2
Collect the terms in 8*h + 6*h + 4*h + 19*h - 27*h.
10*h
Collect the terms in -38*y + 16*y + 19*y - 870*y**3.
-870*y**3 - 3*y
Collect the terms in 12833*y - 2678 + 2678.
12833*y
Collect the terms in 250*r**3 + 182*r**3 + 148*r**3.
580*r**3
Collect the terms in 11*z**3 - 43*z**3 + 10*z**3 + 18*z**3.
-4*z**3
Collect the terms in -1 + 246*n**3 + n**2 - 81*n**3 + 2*n**2 - 4*n**2 - 7*n**2.
165*n**3 - 8*n**2 - 1
Collect the terms in 893*r - 2242*r + 717*r.
-632*r
Collect the terms in -3*w**3 - 2*w**3 - 811*w - 2 + 17*w**3.
12*w**3 - 811*w - 2
Collect the terms in 39*v - 50*v + 7*v.
-4*v
Collect the terms in 311*x + 2732*x + 2152*x + x**3 + 2228*x.
x**3 + 7423*x
Collect the terms in -n + 5*n**3 + 4032662*n**2 + n - 4032662*n**2.
5*n**3
Collect the terms in -4596*s + 0 + 1651*s + 1.
-2945*s + 1
Collect the terms in -9*i**3 - 12*i**3 - 8*i**3 + 35*i**3 - 4*i**3 - 11*i**3.
-9*i**3
Collect the terms in -2840202*i - 3*i**3 + 2840202*i.
-3*i**3
Collect the terms in -566063 + 8*d + 566063 - 12*d.
-4*d
Collect the terms in -7 + 3 + 0 + 8 + 6*u - 10.
6*u - 6
Collect the terms in -134 - 8*c**3 + 130 - 12*c**3.
-20*c**3 - 4
Collect the terms in 1578*s + 1730*s - 3294*s.
14*s
Collect the terms in -546849*o**3 + 273424*o**3 + 273426*o**3 + 6*o**2.
o**3 + 6*o**2
Collect the terms in 47*q**2 - 301*q + 2*q**3 - 1088*q - 47*q**2.
2*q**3 - 1389*q
Collect the terms in -2*w**2 + 43780957804*w - 43780957804*w.
-2*w**2
Collect the terms in 5*i**2 + 8*i**2 - 10*i**2 - 27*i**2 - 12*i**2.
-36*i**2
Collect the terms in -339*f - 2 - 1744*f + 2.
-2083*f
Collect the terms in 4723*g**2 - 2370*g**2 - 2417*g**2.
-64*g**2
Collect the terms in 18*x**3 - 11*x**3 + 61*x**3 + 63*x**3.
131*x**3
Collect the terms in -390*c**2 + 496*c**2 - 807*c**2.
-701*c**2
Collect the terms in -1889*r + 7658*r + 1988*r + 3677*r.
11434*r
Collect the terms in 179*i**3 + 177*i**3 - 534*i**3 + 176*i**3.
-2*i**3
Collect the terms in 1133*q**2 + 15*q + 2*q + 2*q.
1133*q**2 + 19*q
Collect the terms in -5473*v**2 + 2769*v**2 + 2701*v**2.
-3*v**2
Collect the terms in -77*x**3 + 147*x**2 - 35*x**2 - 112*x**2.
-77*x**3
Collect the terms in -4 - 166*x + 700*x + 4 + 978*x.
1512*x
Collect the terms in 3 - 1 + 2167*b - 2167*b - 11*b**2 - 2.
-11*b**2
Collect the terms in 2752*u - 2*u**3 + 3318*u - 6070*u.
-2*u**3
Collect the terms in 41*g**3 - g**2 - 94*g**3 - 2*g**2 + 3*g**2.
-53*g**3
Collect the terms in 67*p + 0 + 2 - 2.
67*p
Collect the terms in j**3 - 261114*j**2 + 261114*j**2.
j**3
Collect the terms in 2*f**3 + 10*f**3 - 14*f**3 - 19*f**3 - 8*f**3 + 2*f**3.
-27*f**3
Collect the terms in 11 + 2*g**2 - 6021*g + 6021*g.
2*g**2 + 11
Collect the terms in 641*r**2 - 641*r**2 - 742*r**3 + 770*r**3.
28*r**3
Collect the terms in 8*w**3 + 27 - 753*w**2 - 27 + 750*w**2 + 5*w**3 + 20*w**3.
33*w**3 - 3*w**2
Collect the terms in 216*w + 29047 - 29047.
216*w
Collect the terms in -201 + 32*m + 201.
32*m
Collect the terms in -63 - 11*q**3 + 111 - 57.
-11*q**3 - 9
Collect the terms in -1 - 38*b**2 - 492*b**2 + 1.
-530*b**2
Collect the terms in 264 + 308 - 840 + 270 + 29*j.
29*j + 2
Collect the terms in 2 - 7*f + f - 1 + 104*f**3.
104*f**3 - 6*f + 1
Collect the terms in -3*i**3 + 7*i**3 + 0*i**3 - 9*i**3 - 17*i**3.
-22*i**3
Collect the terms in 1006*v**2 - 5321*v**2 + 859*v**2.
-3456*v**2
Collect the terms in -f - 54*f - 1979*f.
-2034*f
Collect the terms in u + 334447 - 334447.
u
Collect the terms in 69*m**2 - m + 29 + m + 70*m**2 - 142*m**2.
-3*m**2 + 29
Collect the terms in -331*y + 11*y + 338*y.
18*y
Collect the terms in -2 + 2 + 1 - 1 + 1509*s**3.
1509*s**3
Collect the terms in 791*p**3 + 799*p**3 - 1564*p**3.
26*p**3
Collect the terms in -964*x - 260 - 967*x + 260 + 1927*x.
-4*x
Collect the terms in 2*p**3 + 3319 - 1657 + 3*p**3 - 1665.
5*p**3 - 3
Collect the terms in -148*x**3 - 3155*x**2 + 9*x**3 + 3155*x**2.
-139*x**3
Collect the terms in 7*k - 3*k - 14*k - 857286 + 857283.
-10*k - 3
Collect the terms in 10*j + 51*j - 12*j - 3*j + 4*j**2.
4*j**2 + 46*j
Collect the terms in -30*f**3 - 19677*f**2 - 19689*f**2 + 39366*f**2.
-30*f**3
Collect the terms in -15*i + 22723 - 22721 + 31*i + 14*i + 7*i.
37*i + 2
Collect the terms in -272 + 2280 + 0*x + x**3 - 7*x.
x**3 - 7*x + 2008
Collect the terms in -348*r + 0*r**2 + 0*r**2 + 128*r**3 - 121*r**3 + 348*r.
7*r**3
Collect the terms in 469*t + 315*t - 76*t + 472*t + 239*t.
1419*t
Collect the terms in 1 + 1 - 389597*m**3 + 389659*m**3.
62*m**3 + 2
Collect the terms in 12654 + 12660 - 25313 + 49*p**2.
49*p**2 + 1
Collect the terms in 8*a + 15*a - 37360*a**3 - 23*a + 37365*a**3.
5*a**3
Collect the terms in -3*y**2 + y + 4918 - y.
-3*y**2 + 4918
Collect the terms in 18692 + 13*d - 3*d - 18692 + 31*d.
41*d
Collect the terms in 314*b**2 - 549*b**2 + 235*b**2 - 66*b**3.
-66*b**3
Collect th | {
"pile_set_name": "DM Mathematics"
} |
207/68 - r/(-4) a multiple of 6?
True
Suppose g + v - 265 = 0, -v - 9 + 8 = 0. Is g a multiple of 19?
True
Suppose -2*t + 3*l + 143 = 0, -3*t - t = -2*l - 290. Is t a multiple of 24?
False
Let n(x) = 27*x**2 - 2*x - 3. Is 13 a factor of n(3)?
True
Suppose m - 9 = 39. Does 24 divide m?
True
Let a(j) = -j**3 + 9*j**2 + 3*j + 12. Does 20 divide a(9)?
False
Let p = 2 - 1. Let g = -4 - -6. Is 4 a factor of g/(-4)*(p + -15)?
False
Suppose -7*j + 3*j - 36 = 0. Let r be 6/27 + (-754)/j. Suppose 0*o = 3*o - r. Is 14 a factor of o?
True
Let l(k) = k**2 + 7. Suppose -y = -3*y. Let q be l(y). Is 3 a factor of (0 - 0) + q + -1?
True
Let u be 44/(-77) + 22/14. Does 10 divide (1 + u)*245/14?
False
Suppose -4*p + 15 = 5*m, -4*p - 4*m + m + 9 = 0. Suppose -2*j - 4 = 0, p = 4*h + 3*j - 128 - 2. Is 34 a factor of h?
True
Let u(a) = a**3 - 11*a**2 + 11*a. Let m be u(10). Let y be ((-4)/(-10))/(2/m). Is (-14)/(0 - y) - -2 a multiple of 4?
False
Suppose -2*c + 7 = -1. Let v = c - -1. Suppose -2*g + v = -g. Does 4 divide g?
False
Does 12 divide -1*24/28*-42?
True
Let b(a) = -a**3 - a**2 + 2*a - 7. Let i be b(-3). Suppose 382 + 23 = i*n. Is n a multiple of 15?
False
Let u be (-5)/(-10) + 5/2. Let i = u + 0. Suppose 0*n - 156 = -i*n. Is 14 a factor of n?
False
Let t(u) be the first derivative of u**4/4 - 4*u**3 + 3*u**2/2 - 18*u + 9. Does 18 divide t(12)?
True
Let h(n) = n**3 + n + 5. Let c(r) = 0*r + r + 0*r - r**2. Let i be c(1). Is h(i) a multiple of 3?
False
Let w(v) = 2*v - 6. Let t be w(4). Suppose 3*j + 18 = 5*s - 167, -t*s + 3*j + 74 = 0. Is s a multiple of 10?
False
Let l(i) = i**2. Let v(x) = 6*x**2 + 13*x + 9. Let o(m) = 5*l(m) - v(m). Is o(-8) a multiple of 12?
False
Suppose 2*y = 4 + 4. Suppose 3*u = 2*n + 52, -n = -4*u - y*n + 41. Suppose 70 + u = 4*m. Does 16 divide m?
False
Let n(z) = 3*z - 1. Let p be n(2). Let a be 0 + 3/(-6)*-78. Suppose a - p = f. Does 17 divide f?
True
Suppose 4*f - 2*f + 2 = 0. Let g = f - -3. Is g/(-8) - 207/(-12) a multiple of 16?
False
Let a(c) = -c**2 - 5*c - 3. Let s be a(-3). Suppose s*n = n + 4*p + 130, -3*n = -5*p - 194. Does 21 divide n?
True
Suppose v + 26 = n, n - 2*v = -4*v + 20. Suppose -3*b + 4*x + 12 = -5*b, 3*x - n = 4*b. Let f(z) = 2*z**2 + 8*z + 4. Is 14 a factor of f(b)?
True
Let y(r) = 2*r**3 + 5*r**2 - 12*r + 2. Let z(q) = -q**3 + q**2 + q + 1. Let a(f) = y(f) + 3*z(f). Is a(6) a multiple of 10?
False
Let m(s) = -s + 9. Let h be m(7). Suppose 2 = -h*z - 0. Is (7 - z) + (3 - 1) a multiple of 5?
True
Let h = 9 + 64. Is h a multiple of 16?
False
Let h = -5 + 7. Is 11 a factor of (76/2 - h) + 2?
False
Does 13 divide (5 - -2*1)/((-10)/(-130))?
True
Let j = -4 + 3. Let f be (j/(-2))/(5/(-30)). Is (-3)/f + (1 - -28) a multiple of 15?
True
Let o(g) = -8*g**2 - 3*g - 2. Let f(a) = -15*a**2 - 6*a - 4. Let u(s) = 6*f(s) - 11*o(s). Let y be u(-2). Does 7 divide 128/9 - y/(-18)?
True
Suppose -4*n + 20 = 0, -2*v + n + 163 - 10 = 0. Suppose -m + v = 8. Is m a multiple of 27?
False
Let y = -1 + -1. Let l = 22 - 11. Let z = y + l. Is z a multiple of 8?
False
Let a = 8 + 3. Let l be (-3 - 0 - 3) + -1. Let k = l + a. Is k a multiple of 3?
False
Let d be 0 + (-2)/((-6)/(-159)). Let a = -38 - d. Is a a multiple of 11?
False
Is 5 a factor of (-978)/(-66) + (-2)/(-11)?
True
Let s be 2/2 + (4 - 3). Suppose 0 = o - s*o. Suppose -122 = -3*z - j, o*j - 102 = -3*z + 3*j. Is z a multiple of 10?
False
Suppose j = -3*j. Suppose -4*o - 2*i - 98 = 0, 3*o - 5*i + 106 = -j*o. Let y = 45 + o. Is 9 a factor of y?
True
Suppose 5 = -q + 46. Let f = q - 15. Is f a multiple of 12?
False
Suppose 2*u = -0*u - 8. Does 5 divide (10/15)/(u/(-42))?
False
Let o(r) = -r**3 - 2*r**2 + r - 4. Let i = -2 - 1. Let f be o(i). Does 2 divide (f/(-6))/(2/(-24))?
True
Let y(a) = 7*a**2 + a + 1. Does 9 divide y(1)?
True
Let d = 3 + 0. Suppose 0 = -5*l - d*m + 5 + 3, 5*m = -4*l - 4. Is 3 a factor of l?
False
Let h(r) = 2*r**2 + 3*r - 3. Let a be h(-3). Suppose 3*w + 2*w + 5*t = -20, -3*w - 5*t = 20. Let d = a - w. Is 6 a factor of d?
True
Is 25 a factor of (27 + -2)/(5/5)?
True
Let s(v) = v**3 + 12*v**2 + v + 12. Let x be s(-12). Does 13 divide (-4 - -30) + x + -3?
False
Suppose -3*f = -f. Suppose -l + 10 + 1 = f. Let y(w) = w**2 - 11*w + 11. Does 5 divide y(l)?
False
Let d be 6/(-10) + (-9)/(-15). Suppose 85 = 5*u - d*u. Is 14 a factor of u?
False
Let d = -1 - -3. Suppose -262 = -2*s + 4*u, d*s = 2*u - 6 + 276. Suppose -117 = -3*n - j, s - 10 = 3*n - 3*j. Is 15 a factor of n?
False
Let p = -23 + 83. Is 15 a factor of p?
True
Is (-15)/((-27)/(-10) + -3) a multiple of 31?
False
Suppose -6*p + 137 = -667. Does 24 divide p?
False
Let x(r) = -r**3 - 10*r**2 - 11*r - 13. Let h be x(-9). Suppose 3*w - 5*m + 90 = h*w, 0 = -2*w - m + 82. Is 11 a factor of w?
False
Let q(f) = -f**2 + 6 + 19*f + 11*f - 28*f. Is q(0) a multiple of 3?
True
Suppose -21 - 23 = 4*m. Let n = 32 + m. Is 10 a factor of n?
False
Let s = 15 - 42. Suppose -5*t + 39 = -4*t. Let w = t + s. Is 6 a factor of w?
True
Suppose -4*b - 3 + 15 = 0. Suppose -5*j + 2*z + 160 = -3*z, -4*j = b*z - 100. Is j a multiple of 14?
True
Let x = 0 + -20. Let d be (5 - 1)/((-8)/x). Is 12 a factor of (-20)/(-6)*36/d?
True
Does 7 divide 224/3 + 1*(-2)/(-6)?
False
Suppose -3*a + 498 = -111. Is 15 a factor of a?
False
Suppose -4*p - 5*z + 6 = -56, 28 = 2*p + 4*z. Does 6 divide p?
True
Let n = 35 - 97. Let a = -30 - n. Is 16 a factor of a?
True
Let x = -133 - -253. Is 30 a factor of x?
True
Let z(a) = 11*a. Is 11 a factor of z(1)?
True
Suppose 4*a = -z + 9, 4*a - 3*z - 1 = 4. Suppose a + 11 = c. Suppose 0 = -3*s - 4*q + 55, -s + 2*q = -2*q - c. Does 11 divide s?
False
Suppose 2 = 2*p - 0. Let v = -1 - p. Is 4 a factor of (-7)/(-2) + (-1)/v?
True
Suppose 0*r - 4*z = -4*r + 36, -4*r + 21 = -z. Let j = 3 + r. Is j a multiple of 3?
False
Is 190/5 - (2 + (5 - 3)) a multiple of 7?
False
Let h(d) = -61*d - 10. Let v be h(-4). Let w = 332 - v. Does 15 divide w?
False
Let d(i) = -i + 21. Suppose x = 3*x - 18. Is d(x) a multiple of 12?
True
Let j(n) = -n**2 - 27*n - 48. Does 13 divide j(-21)?
True
Let q = 32 + -56. Let k = -9 - q. Is k a multiple of 8?
False
Let t(n) = 31*n**2 - n + 1. Let d be t(1). Suppose 2*h = v - 10 - 7, h + d = 5*v. Is 14 a factor of h/2 - (9 - 26)?
True
Let a be 1/(-1*(-1)/(-1)). Is a/(-4) + (-111)/(-4) a multiple of 14?
True
Suppose 0 = d, j = -j - 5*d. Suppose -x + 12 = -24. Does 13 divide -1 + 1*x + j?
False
Let w(m) = m - 1. Let y(b) = b**2 + 5*b + 13. Let v(h) = -5*w(h) + y(h). Is v(0) a multiple of 9?
True
Suppose 17 + 8 = 5*u, 3*u = -2*x + 3. Let c be (-4)/x - 65/(-15). Suppose -7*d = -3*d + 3*s - 56, -c*d + 5*s + 35 = 0. Does 11 divide d?
True
Is (0 - (1 - 1)) + 3 a multiple of 2?
False
Let p(d) = 12*d**2 + 2*d + 2. Does 12 divide p(-1)?
True
Let r = -128 + 191. Does 12 divide r?
False
Let k(u) = u**3 + 6*u**2 + 3*u - 3. Let m be k(-3). Suppose 3*a = -m, r - 60 = 2*a + 10. Does 11 divide r?
False
Let v(x) = -x**2 - 5*x - 4. Let c be v(-4). Suppose m - 3*n = 30, -76 = -2*m - c*m - 2*n. Is m a multiple of 18?
True
Suppose -2*l - 132 = -4*l. Suppose l = n + n. Suppose -n = -3*m - 3*y, 3*y = -m - 0*m + 19. Is m a multiple of 3?
False
Suppose 0 = 2*u + u + 2*p - 14, -5*u + p = -19. Does 20 divide u/18 - (-349)/9?
False
Does 27 divide (3/9)/(2/174)?
False
Suppose -2*t - 1 + 13 = 0. Let i = 9 + t. Suppose -15 = -3*y + i. Is y a multiple of 5?
True
Let i(q) = -4*q**2 + 2*q - 2 + q**3 + 0 - 2. Let d be i(4). Let j(w) = -w**2 + 6*w - 3. Is 5 a factor of j(d)?
True
Let h = 3 - -25. Is 7 a factor of h?
True
Let u(z) = 35*z - 1. Let i = -5 - -5. Suppose i = -5*x + 5. Is u(x) a multiple of 12?
False
Let a(c) = c**2 - 6*c + 3. Is 25 a factor of a(-6)?
True
Let m(b) = b**3 - 3*b**2 - 4*b + 4. Let h be m(4). Suppose h*i = -0*i + 180. Suppose 4*j + 5 = i. Does 5 divide j?
True
Suppose 4*k + 2*z - 230 = 0, 2*z = k - 6*k + 290. Let n = k + -6. Does 18 divide n?
True
Suppose 0 = -u + 4*v + 8, 4*u - v - 4 = v. Suppose 0 = -3*k - 4*w + 138, 3*k + 2*w - 210 + 72 = u. Is k a multiple of 16?
False
Suppose 4*b - 120 = -32. Is 11 a factor of b?
True
Let k(g) be the third derivative of g**4/24 + g**3/3 - 4*g**2. Suppose -3*z + 6 = 0, 2*m - 5*z + 15 = 3*m. Is k(m) a multiple of 4?
False
Let k(z) = -z**2 + 12*z. Let r be k(10). Let b be | {
"pile_set_name": "DM Mathematics"
} |
ulate the remainder when z(-12) is divided by r.
3
Let x(c) = -c**2 - 7*c - 14. Let y be x(-4). Calculate the remainder when y/((-3)/(-810)*-4) is divided by 46.
43
Suppose -1 = 2*v - 39. Let k(z) = 3*z - 30. Let d be k(10). Suppose 5*w = -d*w + 180. Calculate the remainder when w is divided by v.
17
What is the remainder when 4/((-12)/(-9)) - -84 is divided by 28?
3
Let h = -163 - -473. Suppose -4*d = -n - h - 252, 4*d + 2714 = -5*n. Calculate the remainder when n/(-22) - (-4)/22 is divided by 13.
12
Let a(i) = 2*i**2 + 24*i - 4. Calculate the remainder when 113 is divided by a(-13).
3
Let m = 2250 - 2005. Calculate the remainder when m is divided by 41.
40
Suppose 2*a - 622 = -4*t, 0 = -28*a + 23*a - t + 1564. Calculate the remainder when a is divided by 16.
9
Let s(i) = -2*i**2 + 8*i + 13. Let q be s(6). Let z = 0 - q. Calculate the remainder when 19 is divided by z.
8
Let d(w) = 14*w**3 - w**2 - w + 1. Let f be d(1). Suppose f*y - 6*y = 49. What is the remainder when y is divided by 5?
2
Let i = -21 - -25. Suppose -2*k + 10 = v - 4, -i*k = -5*v - 42. What is the remainder when 15 is divided by k?
7
Suppose 5*s = -19 + 69. Suppose 0 = -r - 4, 3*j - s = 2*r + 34. Suppose 3*b + 3*o - 96 = 0, 5*b + 3*o = o + 169. Calculate the remainder when b is divided by j.
11
Calculate the remainder when 218 is divided by -4 - -21*(-4 - -5).
14
Let g(c) = -c**3 - 3*c**2 - 3*c. Let l be g(-2). Suppose f - 3*w = -l*f + 45, 2*f + w - 36 = 0. Calculate the remainder when f is divided by 7.
3
Suppose 5*c - 5*q = -0*q + 65, 2*q - 76 = -4*c. Let n = -8 + 38. What is the remainder when n is divided by c?
13
Let m = 990 - 671. Calculate the remainder when m is divided by 32.
31
Suppose 0 = -z + 8*z - 1169. Let h = -135 + z. What is the remainder when h is divided by 11?
10
Let o = 10 - 1. Calculate the remainder when 136 is divided by 255/o - 1/3.
24
Suppose -18 = k + 2*k. Calculate the remainder when (153/k)/(1/(-2)) is divided by (-124 - -142) + -3*1 + -2.
12
Let h be (-186)/(-12)*(-4)/6*3. Let s = h - -92. What is the remainder when s is divided by 13?
9
Suppose 0 = 2*b - 4*c + 9*c - 33, -3*b + 27 = 3*c. Suppose 3*s + 84 = 7*s + b*d, 3*s - 63 = -2*d. What is the remainder when 57 is divided by s?
15
Suppose -4*x + 5*n - 4*n = -721, 915 = 5*x - 4*n. Calculate the remainder when x is divided by 51.
26
Let a = 22 - 15. Suppose 0 = 9*x - 14*x + 100. Let s = x - -5. What is the remainder when s is divided by a?
4
Let q = -1710 - -1864. Calculate the remainder when q is divided by 78.
76
Let z(k) = -k**3 + k**2 - 1. Let n be z(1). Let w be -3 + 8 - 1 - -6. Let f = w + n. Calculate the remainder when f is divided by 4.
1
Let y(f) = 3*f**3 - 3*f**2 + 3*f - 3. Suppose 5*w + 52 = 37. What is the remainder when y(2) is divided by ((-36 - (w + -1))/(-2))/2?
7
Suppose 0 = 4*m - x - 152 + 993, 0 = 2*m - 4*x + 424. Calculate the remainder when 117 is divided by 60/m + (-424)/(-14).
27
Suppose -t = 2*t - 54. Calculate the remainder when 276/t + 4/6 is divided by 6.
4
Suppose 0 = 2*p - 4. Suppose -p*j - 3*j = -350. What is the remainder when j is divided by 18?
16
Let n = 392 - 378. What is the remainder when 62 is divided by n?
6
Let h be -4*(65/20 - 4). What is the remainder when 73 is divided by (16 + h)/(-4 - -5)?
16
Let x(p) = -2*p**3 - 7*p**2 + 6*p - 11. What is the remainder when x(-6) is divided by 14?
7
Suppose -4*a - 4*h = -56, 0 = 3*a - a + h - 31. Let n = 1815 - 1807. What is the remainder when a is divided by n?
1
Suppose 0 = 3*n - n + 6. What is the remainder when (-1 + 3)*1 + 29 is divided by (-1)/n - (-161)/21?
7
Suppose 3*d - 3*b = 183, 0 = -5*d - 7*b + 323 + 42. What is the remainder when 153 is divided by d?
21
Calculate the remainder when 6 + -7 + 194 + -8 is divided by 10.
5
Suppose 66 = 4*f + 3*p, 2*f - p = -3*p + 34. Suppose 4*y - 12 = 2*y. Suppose -2 - y = -o. What is the remainder when f is divided by o?
7
Let c = -450 - -473. Calculate the remainder when 214 is divided by c.
7
Suppose 16 = n - 28. Let k be (-3 + 17/5)*5. Suppose k*l - 9 = -s + 6, 0 = 4*s + l - 60. Calculate the remainder when n is divided by s.
14
Let r = -1 - -28. Let n = 6 - -9. What is the remainder when r is divided by (-10)/(-4)*42/n?
6
Let t = -1 - -13. Let p(y) = 3*y + 9. Suppose -15 = -5*r, z + 21 = 4*z - r. What is the remainder when p(z) is divided by t?
9
Let n = 821 - 817. Let u(o) = o - 1. Calculate the remainder when u(8) is divided by n.
3
Let y(c) be the first derivative of -c + 2. Let p(a) = a + 7. Let r(h) = p(h) + 2*y(h). What is the remainder when 23 is divided by r(7)?
11
Let a be (-1 + (-36)/(-20))/(4/(-40)). Calculate the remainder when 158 is divided by (-540)/8*a/10.
50
Let m(d) be the second derivative of -d**4/12 - 2*d**3 + 3*d**2/2 - 8*d. Let t be m(-12). What is the remainder when -4 - (-4 - 260)/t is divided by 17?
16
Let g = 11 - -12. Suppose 5 = -5*u + 155. Calculate the remainder when g is divided by 176/u - 10/(-75).
5
Let s(p) = -3*p + 25. Let l = -27 - -41. Calculate the remainder when s(0) is divided by l.
11
Suppose -3*v - 38 = -3*f + 25, -5*f - 4*v + 78 = 0. What is the remainder when 195 is divided by f?
15
Suppose 461 = 17*y - 253. Let p = 1 + 8. Calculate the remainder when y is divided by p.
6
Let x = -104 + 149. Calculate the remainder when 8/(-10) - (-100128)/560 is divided by x.
43
Suppose u = 2*k - 3*u - 360, -5*k + u + 900 = 0. Calculate the remainder when k is divided by 62.
56
Let d = 1733 - 666. Calculate the remainder when d is divided by 21.
17
Let t(n) = n**2 - n + 5*n - 2*n. Let s(k) = -k**2 - 2*k - 5. Let f be s(0). Calculate the remainder when t(f) is divided by 9.
6
Suppose 7*g + k = 4*g + 12, -2*g - 3*k = -15. Let u(p) = -20*p**2 + 8*p - 6. Let r be u(2). Let c = 74 + r. Calculate the remainder when c is divided by g.
1
Let h = 12 - -34. Let d(x) = -x**3 - 9*x**2 - 9*x - 5. Let t be d(-8). Suppose -t*j - h = -193. Calculate the remainder when j is divided by 25.
24
Suppose 0*n + 2*n = -5*r + 8, -3*r - 16 = -4*n. Suppose r = 8*s + 217 - 777. What is the remainder when s is divided by 18?
16
Let q = -26 + 57. Let f = q + -16. Calculate the remainder when f is divided by 3.
0
Suppose 2*g - 115 = 2*h + 79, 2*g - h = 199. What is the remainder when g is divided by 38?
26
Suppose 0 = 4*i + 3*j - 239, -j + 179 = 3*i + j. What is the remainder when 211 is divided by i?
34
Let w = 107 - 51. Suppose -3*v + 31 = -29. Calculate the remainder when w is divided by (-1*(-1 + v))/(-1).
18
Suppose -2*p + 134 = 2*w, -5*w + 0*w = p - 343. Let h(o) = o**2 + 10*o + 25. Calculate the remainder when w is divided by h(-11).
33
Let w = 217 + -174. Calculate the remainder when 128 is divided by w.
42
Let l(c) = -2*c**2 + 3*c + 3. Let h be l(6). Let s = h - -59. What is the remainder when 37 is divided by s?
5
Let g = 77 - 72. Suppose 28 = g*m - 2. What is the remainder when 15 is divided by m?
3
Let j = -883 - -917. Calculate the remainder when 231 is divided by j.
27
Suppose 319 = 4*w + 199. Let k(i) = -30*i - 1. Let c be (7/5 + -1)*-5. Calculate the remainder when k(c) is divided by w.
29
Let i be (19/(-7) - -3)*14. Suppose 0*g - 24 = -i*g. Suppose 47 = 3*p - 4*x, -5*p + 40 = -3*x - 42. What is the remainder when p is divided by g?
5
Let d be 4 + -1 - 7 - -9. What is the remainder when (-5)/(-25) - (-2 + (-284)/d) is divided by 4?
3
Let o be (-1 + -1 + 2)*1. Suppose o = -t + 2 + 14. Calculate the remainder when 29 is divided by t.
13
Let z(b) = 34*b - 361. What is the remainder when z(15) is divided by 22?
17
Let n be (2 + 26)/4 + -4 - -213. Suppose -n = -9*h + 5*h. What is the remainder when 161 is divided by h?
53
Let h(m) = -2*m**2 - 28*m - 35. Calculate the remainder when h(-11) is divided by 26.
5
Let k = 17 + -13. Let m be 1*(52/k + 3). Suppose 3*i - m = 20. What is the remainder when 33 is divided by i?
9
Suppose 3*f = 3*x - 114, -2*x - 4*f + 23 = -x. Suppose -14 = 62*k - 63*k. What is the remainder when x is divided by k?
7
Let d = 908 + -596. What is the remainder when 2/(-4)*-5*d/20 is divided by (-2)/(-3)*21/2?
4
Let a be ((-4)/(-16))/(3/(-12)). Let h(m) = 7*m**2 - m - 2. Let j be h(a). Suppose -q - 185 = -j*q. Calculate the remainder when q is divided by 10.
7
Suppose 3*a + 4*s + 11 = 76, 5*s = -2*a + 55. What is the remainder when 162 | {
"pile_set_name": "DM Mathematics"
} |
. Let l = w + h. What is l rounded to the nearest integer?
-5
Let q = 528.00485032 - -0.09844968. Let g = q - 528. What is g rounded to two dps?
0.1
Suppose 4*l = 4*g - 217084, 2*g - 6*l = 112136 - 3582. What is g rounded to the nearest ten thousand?
50000
Let q = -3929.08 + 3897. What is q rounded to 0 dps?
-32
Let d = -0.095 - -0.1529. Let t = -244.9421 - d. Let w = t + 245.0000418. Round w to six decimal places.
0.000042
Let k be 7/(-21)*8*-321. Suppose 2*l + 1048 = r, 4*l + 1240 = -5*r - k. What is l rounded to the nearest one hundred?
-500
Let u be (-2)/(-4)*60/(1 - -5). Suppose -25*i + 22*i = -5*j + 221700010, 295600010 = -4*i + u*j. Round i to the nearest one million.
-74000000
Let o = 9138 + -9138.7694. Let j = o + 0.823621. Let t = j + -0.054. What is t rounded to five decimal places?
0.00022
Let d = -67 + 67. Suppose 0 = 5*s + 25, 3*u + s - 3383 + 553 = d. Let n = u + 655. Round n to the nearest one thousand.
2000
Let g = -1673 - -1066. Let k = g + 606.999999317. Round k to seven decimal places.
-0.0000007
Suppose 0 = 5*j - 249 + 264, -4*w + 4*j = -429256012. Round w to the nearest one million.
107000000
Let g(t) = 2951*t + 745. Let s be g(11). Let v(f) = 7708*f**2 + 7*f + 6. Let j be v(-4). Let d = j - s. What is d rounded to the nearest ten thousand?
90000
Suppose -2*d + 4*z = 0, 1 + 7 = d + 2*z. Suppose 7*v - 720010 = d*v + 5*f, -2*v - 2*f = -479996. Round v to the nearest one hundred thousand.
200000
Suppose 3*g = g - 4*r - 40, 5*g - 4*r = -72. Let z be (-4295990)/40 + 4/g. Round z to the nearest ten thousand.
-110000
Let i = 11676.23 - 11669.98993. Let t = -6.185 + i. Round t to 2 dps.
0.06
Suppose 217412 = -4*v - 340600. Suppose -38*r = -31*r - 521521. Let y = v + r. What is y rounded to the nearest 10000?
-70000
Let m = -8810 + 8808.8122. What is m rounded to 1 dp?
-1.2
Let l = -0.0225501736 - -0.02255. Round l to 7 dps.
-0.0000002
Let b = 3644295687.0000914 + -3644295299. Let h = -388 + b. What is h rounded to 5 decimal places?
0.00009
Let p = 0.81302 - 0.812980299. Round p to seven dps.
0.0000397
Let d = -27.621 - -27.3. Let m = d - -0.035. Let k = -0.285881 - m. Round k to four dps.
0.0001
Let a = -3.1406 + 3.1443741. Round a to 3 decimal places.
0.004
Let z = 625 + -290. Let d = z + -334.9878. Round d to two decimal places.
0.01
Let n = -2698 + 2686.328. Let w = -0.072 - n. Let f = w + -11.6000047. Round f to 6 dps.
-0.000005
Let b = 215 + -104. Let r = -109.6 + b. Let v = 1.399562 - r. What is v rounded to 5 decimal places?
-0.00044
Let a = 0.39 - 0.15. Let p = a + -0.286. Round p to 2 dps.
-0.05
Let y = -2.66176869 + 2.6616. What is y rounded to 5 decimal places?
-0.00017
Let q be 8*1/8*-1. Let r be (-1250000)/10*240/q. What is r rounded to the nearest one million?
30000000
Let f(i) = -1871*i + 13. Let r be f(3). Let h be (-27452 + 2)/(4/(r/6)). Suppose 7*z = 22*z - h. What is z rounded to the nearest 100000?
400000
Let y = -59634.7 + 82992. What is y rounded to the nearest 100?
23400
Suppose -5*u + 7725 = -2*s, 3*u - 4*u + 2*s = -1537. Suppose i - 12*b + 10*b + 390 = 0, 0 = -4*i - 5*b - u. What is i rounded to the nearest one hundred?
-400
Suppose 2*w + 1277692 = 2*g, 0 = 2*w - 87*g + 86*g + 1277686. Round w to the nearest one hundred thousand.
-600000
Let d = 6994467 + 325558. Suppose -4*k + d = 5*r, k = -5*r + 1506168 + 323857. Round k to the nearest one hundred thousand.
1800000
Let t(d) = d**3 + 6*d**2 - 17*d - 4. Let m be t(-8). Suppose -1120000 = -m*c - c. What is c rounded to the nearest 10000?
220000
Let f = -132 + 132.071. What is f rounded to zero dps?
0
Let k = 227.9433 + 0.0567. Let v = k + -228.001288. What is v rounded to 4 dps?
-0.0013
Let b = -28743470 + 45550470. What is b rounded to the nearest one million?
17000000
Let d = 413655 + -413653.25623. Let w = 1.3 - -0.44. Let s = w - d. What is s rounded to 4 dps?
-0.0038
Let x = 31202.648851 - -0.471149. Let u = x + -31420.1289. Let r = -217 - u. Round r to three decimal places.
0.009
Let u = -15426.0023618 + 15426. Round u to four dps.
-0.0024
Let o = 4.71 + -5. Let y = -27.33113 - -27.04113075. Let t = y - o. Round t to seven decimal places.
0.0000008
Let w = -4774 + 4774.0003569. Round w to five dps.
0.00036
Suppose 22*u = -32*u - 368658000. What is u rounded to the nearest one hundred thousand?
-6800000
Let f = -1265.00219 + 1265. Round f to three dps.
-0.002
Let x be 4415*((-28)/(-20))/7*-1713. Let q = x + 3019579. What is q rounded to the nearest one hundred thousand?
1500000
Suppose 0 = -4*y - 4*u + 36, -4*y = 5*u - 3*u - 30. Suppose x + y*r - r = 5399995, -4*r - 4 = 0. What is x rounded to the nearest one million?
5000000
Let k = 10189.47 + -10127.4709. Let o = k - 62. What is o rounded to three dps?
-0.001
Let z = -33337.420344 + 33335.5. Let p = 1.92 + z. Round p to five dps.
-0.00034
Let x = -12133.9 - -12023.226. Let d = 112 + x. What is d rounded to the nearest integer?
1
Let t = 178.17 + -177.81444. What is t rounded to three decimal places?
0.356
Let n = -253 - -680. Let b = n + -426.9999883. What is b rounded to five decimal places?
0.00001
Suppose 0 = -r - g + 35249 - 4870, -60743 = -2*r - 5*g. Let i = -19944 + r. What is i rounded to the nearest 1000?
10000
Let o = 84.06 + -84.4323. Let m = -0.042 - -0.398. Let q = m + o. What is q rounded to three dps?
-0.016
Let f = -1875 + 1097. Let y = 778.0727 + f. Round y to 2 dps.
0.07
Let a = 27201220 - 27201269.999991. Let g = a - -50. Round g to six dps.
0.000009
Let m = 3465 - 3491.57. Let r = m - -26.570001703. What is r rounded to seven dps?
0.0000017
Let u = -92.058125 + 92. Let b = u + 0.058. Round b to five dps.
-0.00013
Let t = 10740263 + -6157016. Let o be 383247 - 0/(-7 + 3). Let c = t - o. Round c to the nearest one million.
4000000
Let s = 0.1485872 - 0.14139. Round s to 4 decimal places.
0.0072
Let j = -34.93174 - 6.1841. Let h = j - 0.02416. Round h to the nearest 10.
-40
Let j = 4480.4952 - 4480. What is j rounded to 2 dps?
0.5
Let g = 2.09 + -1.8325. Let q = -0.236 + g. Round q to 3 dps.
0.022
Let d = 492 - 699. Let b = 561 + d. Let g = 414.8 - b. Round g to the nearest 10.
60
Let k = -3.35 + -307.65. Let d = k - -310.9979. Round d to four dps.
-0.0021
Let l(j) be the second derivative of j**4/12 + 7*j**3/6 - 14*j**2 + 16*j. Let i be l(-14). Suppose -x + 32 = -i. What is x rounded to the nearest ten?
100
Suppose 120209 - 3621009 = 8*q. What is q rounded to the nearest 100000?
-400000
Let w = 0.4266927448 - 0.4267. Round w to 7 dps.
-0.0000073
Suppose 3*z - 77001 = 6*z. Let n be (z/2)/(12/(-144)). Let y be (4 + 4)/4 - n. Round y to the nearest ten thousand.
-150000
Let f = -6498750 - -4374050. Round f to the nearest 10000.
-2120000
Let i = 1526 - 1669.1. What is i rounded to the nearest one hundred?
-100
Let k be (180/50)/((-9)/(-2469030)). Suppose 0 = b - 5*b + 3*d + k, 740708 = 3*b - 2*d. Round b to the nearest one hundred thousand.
200000
Let y = 7362950.8599692 - 7362955. Let z = 4.14 + y. Round z to 5 decimal places.
-0.00003
Let i = -200125.21881 - -509956.21788. Let u = -309835 + i. Let t = u - -4. Round t to 4 decimal places.
-0.0009
Let w = 23.721 + -23.721014447. Round w to six decimal places.
-0.000014
Suppose 312 = 8*i - 104. Suppose -152 + i = -10*v. Suppose -1206412 + 5836412 = -v*s. What is s rounded to the nearest 10000?
-460000
Let t = 1199.25 + -1378. Let u = -0.25 + t. Let z = 178.99671 + u. Round z to 4 dps.
-0.0033
Let s = -3533 - -3532.638. What is s rounded to one decimal place?
-0.4
Let k(u) be the third derivative of 0*u - 9*u**2 - 1/3*u**4 - 1/10*u**5 + 0 + 1/30*u**6 - 5/3*u**3. Let d be k(11). Round d to the nearest one thousand.
5000
Let o = -4976 + 4975.7202. What is o rounded to one dp?
-0.3
Let m = -13968 - -13967.9999990549. Round m to 6 dps.
-0.000001
Let p = -1406908070 - -1406907392.9999876. Let d = 677 + p. Round d to five dps.
-0.00001
Let r = 776 + -776.701. Let n = r + 1.004. Let s = n - 0.604. Round s to two decimal places.
-0.3
Let n = 0.047843 - 0.04828249. What is n rounded to 5 decimal places?
-0.00044
Let c = 7396 - 7276.46. Let z = 12.66 + c. Let x = z - 151. What is x rounded to 0 dps?
-19
Let u = 236158013 - 19501013. Suppose 110*h - u = 91*h. What is h rounded to the nearest 1000000?
11000000
Let w = 302.34 + -0.34. Let d = -30 | {
"pile_set_name": "DM Mathematics"
} |
9586217*v**2.
-34*v**3
Collect the terms in -1524*b**3 - 9*b - 718*b**3 + 9*b.
-2242*b**3
Collect the terms in 18*v - 6 - 7 - 6 + 7*v + 28 - 26*v.
-v + 9
Collect the terms in -2*d**2 + 3*d - 224*d - d + 6*d + 213*d + 3*d.
-2*d**2
Collect the terms in 560529 + 0*t - t + 167423 + 657833.
-t + 1385785
Collect the terms in -8*k**3 + 21*k + 17*k - 68*k + 20*k**3 + 12*k + 15*k.
12*k**3 - 3*k
Collect the terms in 38 + 42 + 2*z - 49 - 45.
2*z - 14
Collect the terms in -7*r**2 - 2 + 10*r**2 + 7*r**2 + 333*r + 4*r**2.
14*r**2 + 333*r - 2
Collect the terms in 13634*g - 13634*g - 25933*g**2.
-25933*g**2
Collect the terms in -53*k**2 + 208*k**2 - 37*k**2 - 29 - 44*k**2 + 29 - 73*k**2.
k**2
Collect the terms in 697873*y - 348934*y - 3 + 3 - 153*y**2 - 348939*y.
-153*y**2
Collect the terms in 13 - 13 - 55*q**2 - 2190777*q + 2190777*q.
-55*q**2
Collect the terms in 4 - 82057*g - 35518*g - 4.
-117575*g
Collect the terms in -88*r**3 - 953*r**3 + 1453*r**3 - 146*r**3.
266*r**3
Collect the terms in -46*v**2 + v + 20*v**2 - 5*v**2 + 25*v + 25*v**2.
-6*v**2 + 26*v
Collect the terms in -424594*a - 634196*a + 329665*a - 640494*a.
-1369619*a
Collect the terms in 103*b + 7*b**2 + 34*b - 15*b**2 + 279*b + 6*b**2.
-2*b**2 + 416*b
Collect the terms in -2843*f**3 - 1763*f**3 - 3128*f**3 - 2851*f**3.
-10585*f**3
Collect the terms in -207*g + 41*g**2 - 204 + 107 + 97 - 24*g**2 + 207*g.
17*g**2
Collect the terms in 4*n + 12*n**3 - 221 - 4*n**3 + 307 - 86.
8*n**3 + 4*n
Collect the terms in -369*q**2 - 41*q**3 - 104 + 162*q**2 + 104 + 207*q**2.
-41*q**3
Collect the terms in 15*u + 21 + 121 - 6*u - 35*u - 17.
-26*u + 125
Collect the terms in -6146934*x - 6146650*x + 2*x**3 + 12293584*x.
2*x**3
Collect the terms in -757*j**3 + 0*j**2 + 743*j**3 - 8*j**2 - 9738 + 9738 + 8*j**2.
-14*j**3
Collect the terms in 241*j - 217*j + 7*j**3 + 6 - 24*j.
7*j**3 + 6
Collect the terms in -2*n**3 + 20 - 9*n**3 - 2*n**2 + 6*n - 4*n**3 + 4*n**3.
-11*n**3 - 2*n**2 + 6*n + 20
Collect the terms in -166*u + 7*u**2 + 80*u - u + 45*u**2 + 85*u.
52*u**2 - 2*u
Collect the terms in 678 - 4317*r**2 - 680 + 4311*r**2.
-6*r**2 - 2
Collect the terms in -27*k + 6 - 16*k - 3 - 17*k + 49*k.
-11*k + 3
Collect the terms in 44*x + 49*x + 41*x + 32*x + 40*x + 18*x - 228*x.
-4*x
Collect the terms in -1214*w**3 + 589*w**3 + 912*w + 918*w + 610*w**3 - 1830*w.
-15*w**3
Collect the terms in -2*i**2 - 15*i**3 - 29*i**3 - 1669 - 1773 + 3442.
-44*i**3 - 2*i**2
Collect the terms in 48*o + 1312 - 1312 + 52*o - 96*o.
4*o
Collect the terms in -65668*t**2 + 330660*t**2 + 2259865*t**2.
2524857*t**2
Collect the terms in -2066*f + 1095*f + 1416*f.
445*f
Collect the terms in 161*v**2 + 380*v**2 - 15*v**2 + 476*v**2 - 91*v**2.
911*v**2
Collect the terms in -43*j - 107*j - 2*j**2 - 49*j + 345*j - 3*j.
-2*j**2 + 143*j
Collect the terms in -24*r - 31*r + 5*r**2 + 106*r + 5*r - 56*r.
5*r**2
Collect the terms in -528*r - 841461 + 841461.
-528*r
Collect the terms in 1 - 2641*v**2 + 5321*v**2 - 2680*v**2 + 115*v**3.
115*v**3 + 1
Collect the terms in 486 - 2*a**2 + a**2 - 464 + a**2 - 30*a**2 + 2*a**2 + 30*a**2.
2*a**2 + 22
Collect the terms in -c**2 + 759 - 1242 + 0*c**2 + 483 + 3*c**2.
2*c**2
Collect the terms in 22*w**2 - 3*w + 10 - 9*w - 7*w + 32*w - 9*w.
22*w**2 + 4*w + 10
Collect the terms in -2*r**3 + 81*r**2 - 458 + 81*r**2 - 245*r**2 + 83*r**2 + 25*r.
-2*r**3 + 25*r - 458
Collect the terms in 100 + 3623*l**3 - 3618*l**3 + 137 - 237.
5*l**3
Collect the terms in -230005666 - 230005668 + 460011334 + g**3.
g**3
Collect the terms in 266 + 480 + 2*m + 1068 - 88.
2*m + 1726
Collect the terms in -475*g - 692447*g**2 - 3250114*g**2 + 475*g.
-3942561*g**2
Collect the terms in 390 - 129 + 2234*m - 126 - 135.
2234*m
Collect the terms in 431 + 224 - 1083 + 434 + 42*y.
42*y + 6
Collect the terms in 2 - 17284*n**3 + 51807*n**3 - 2 - 17240*n**3 - 17284*n**3.
-n**3
Collect the terms in 12842*j - 12842*j - 611*j**2 + 20 - 22.
-611*j**2 - 2
Collect the terms in -64597*y + 14574*y - 10313*y - 40411*y - 1087*y.
-101834*y
Collect the terms in -228*y - 123*y - 540*y + 336*y.
-555*y
Collect the terms in -605728512 - 3919*m + 605728512.
-3919*m
Collect the terms in 34 + 5*t + 11 - 112 + 40 - 13 + 40.
5*t
Collect the terms in -1406 - 4481*h + 8965*h - 4485*h.
-h - 1406
Collect the terms in -191*b**2 + 90*b**2 + 36*b**2 + 6*b**3 - 2*b + 65*b**2.
6*b**3 - 2*b
Collect the terms in -5 - 153178*j**2 + 176*j - 176*j + 2.
-153178*j**2 - 3
Collect the terms in 67132*s**2 - 22353*s**2 - 22457*s**2 - 22357*s**2.
-35*s**2
Collect the terms in 7851*f**3 + 6732*f**3 + 1358*f - 1356*f.
14583*f**3 + 2*f
Collect the terms in r**2 + 118406792134 - 118406792134.
r**2
Collect the terms in -614549*c + 0*c**2 + 2*c**2 + 2612578*c + 1754277*c.
2*c**2 + 3752306*c
Collect the terms in -143948*s**3 - 197 + 143517*s**3 + 197.
-431*s**3
Collect the terms in 20220*h + 18242*h - 38463*h.
-h
Collect the terms in 9 - 37353*a**2 - 4211*a + 4211*a - 9.
-37353*a**2
Collect the terms in 32 - 58 + 30 + 8523*n**3.
8523*n**3 + 4
Collect the terms in -115435*k**3 + 58432*k**3 + 57004*k**3.
k**3
Collect the terms in -25756*a**3 + 10665*a**3 + 13058*a**3 - 2.
-2033*a**3 - 2
Collect the terms in -194*j**2 + 4957079*j - 4957079*j.
-194*j**2
Collect the terms in 4*w**3 + 76213642354*w**2 + 28*w**3 - 76213642354*w**2.
32*w**3
Collect the terms in -2398*h - 198*h**2 - 4978*h + 7376*h.
-198*h**2
Collect the terms in 8219*p**2 + 53091*p**2 + 76784*p**2.
138094*p**2
Collect the terms in 9449374 - 9449374 + 2*w**2.
2*w**2
Collect the terms in 2*m + 13*m - 241 - 23*m + 62*m - 2*m.
52*m - 241
Collect the terms in 56*w**2 - 413*w**2 + 57*w**2 - 23*w**2 - 32*w**2 + 51*w**2.
-304*w**2
Collect the terms in -824038107 + 824038107 - 1250*b.
-1250*b
Collect the terms in 968*b - 968*b - 43585*b**3.
-43585*b**3
Collect the terms in -2231*w**3 - 7536*w**3 - 7992*w**3.
-17759*w**3
Collect the terms in 302*j + 8*j**3 - 1306*j - 776*j + 2*j**2.
8*j**3 + 2*j**2 - 1780*j
Collect the terms in -24762*g + 19321*g - 7852*g - 62119*g.
-75412*g
Collect the terms in 785 + 43*o + 11*o**2 - 464 - 324.
11*o**2 + 43*o - 3
Collect the terms in -46560169498191 + 3*m + 46560169498191.
3*m
Collect the terms in -103 + 36 + 29 + 27*c**2 + 27*c**2 + 37 + 29*c**2.
83*c**2 - 1
Collect the terms in -268 + 49 - 115*q + 106*q - 257.
-9*q - 476
Collect the terms in 47840*u**3 + 3852*u**3 - 11*u + 11*u.
51692*u**3
Collect the terms in 511676*f**2 + 18988*f**2 - 58242*f**2.
472422*f**2
Collect the terms in -4*u - 15781 + 16373 + 4*u + 6*u**2.
6*u**2 + 592
Collect the terms in -423*o**2 + 4300*o**2 - 3498*o**2.
379*o**2
Collect the terms in -2 - 4 + 32 - 11 + 3 - 38*o - 5.
-38*o + 13
Collect the terms in 83*g**3 - 40904 + 11*g**3 + 40903.
94*g**3 - 1
Collect the terms in -q - 404 - 87 + 3564.
-q + 3073
Collect the terms in 35443 - 4*f**3 + f - 5*f**3 + 8*f**3 + 3053.
-f**3 + f + 38496
Collect the terms in 19 - 2662110*b + 2662153*b - 19.
43*b
Collect the terms in -38*g - 63*g - 53*g + 66*g - 65*g.
-153*g
Collect the terms in 0*x - 18*x - 7*x - 7896167 + 7896167.
-25*x
Collect the terms in -13983*w + 7356*w**2 - 7369*w**2 + 13964*w.
-13*w**2 - 19*w
Collect the terms in 8360 - 4632 - 15*h - 3730.
-15*h - 2
Collect the terms in 1257*s + 2984*s - 35 - 794*s + 1430*s.
4877*s - 35
Collect the terms in 22*y + 282*y**2 + 8*y + 471*y**2.
753*y**2 + 30*y
Collect the terms in 1241*c + 993*c + 93*c.
2327*c
Collect the terms in 18*k**2 + 635*k - 635*k - 15*k**2 - 35 + 35.
3*k**2
Collect the terms in 62 - 173 + 310*r + 55 + 56.
310*r
Collect the terms in 132224*c**2 - 6*c**3 - 264433*c**2 + 132209*c**2 + 7*c**3 + 9*c**3 - 2*c**3.
8*c**3
Collect the terms in -382*m + 55*m + 65*m + 61*m + 57*m + 61*m + 78*m.
-5*m
Collect the terms in 181074*b**2 + 7067*b - 7067*b.
181074*b**2
Collect the terms in -318127*q**3 + 636345*q**3 - q**2 - 318080*q**3.
138*q**3 - q**2
Collect the terms in -14455*b + 25378*b - 5516*b - 5406*b.
b
Collect the terms in 116*s**2 + 323*s**2 + 5*s + 8 - 3*s.
439*s**2 + 2*s + 8
Collect the terms in 981 - 2*j + 1120 - 272 + 860 + 46.
-2*j + 2735
Collect the terms in -55617*q**2 - 8*q + 56555*q**2 - 2 + q.
938*q**2 - 7*q - 2
Collect the terms in -106*b - 171*b - 180*b + 608*b - 158*b.
-7*b
Collect the terms in -1663*f**3 + 11*f + 5753*f**3 + 17 + | {
"pile_set_name": "DM Mathematics"
} |
rt(475) + 1)**2 + (-4 + sqrt(19)*-1*5)**2.
20*sqrt(19) + 2392
Simplify (sqrt(39)/(sqrt(108)*-1 + sqrt(108) + sqrt(108)))**2 + (3 + 1 + sqrt(39)/sqrt(3))**2.
8*sqrt(13) + 1057/36
Simplify 6*(-3*-2*sqrt(720))/(5*sqrt(360)/sqrt(4)).
72*sqrt(2)/5
Simplify ((-2*sqrt(14)*1 - (1*sqrt(168))/sqrt(12))/(sqrt(16)/sqrt(8)))**2.
63
Simplify 1 + (sqrt(32) - (sqrt(192)/sqrt(6) + 2)) - (-5*sqrt(384)*2)/sqrt(12).
-1 + 40*sqrt(2)
Simplify (sqrt(49)/sqrt(112))**2 + -5 - (sqrt(14)/sqrt(2)*-1 + -2).
-41/16 + sqrt(7)
Simplify 4*(sqrt(19) + (2*sqrt(19))**2 + 4) - (-2 + sqrt(19) + 1 + (-1*sqrt(304))**2).
3*sqrt(19) + 17
Simplify (2 + (sqrt(704) + (sqrt(704) - 1*sqrt(704)) + sqrt(704) - sqrt(704) - sqrt(704)) + 5 + -2 + -3)**2.
4
Simplify 5*(sqrt(11) - sqrt(99)) + -4 + sqrt(11)*-2 + (sqrt(198) - (sqrt(198) + 1*sqrt(198)) - sqrt(22))/sqrt(2).
-16*sqrt(11) - 4
Simplify (sqrt(12) + -2 + (sqrt(72)/sqrt(3))/sqrt(8))**2 - ((2*sqrt(33))/sqrt(11) + sqrt(6)/sqrt(2) + -1)**2.
-6*sqrt(3) + 3
Simplify ((sqrt(11)*-2)**2 + 2)*3 - (((-2*sqrt(121))/sqrt(11))**2 + (sqrt(11) + -1)*-4).
4*sqrt(11) + 90
Simplify ((2*(2*sqrt(156) + sqrt(156)))/(sqrt(12) - (sqrt(12) - 2*sqrt(60)/sqrt(5))))**2.
117
Simplify -2*((sqrt(1331) + 3 + sqrt(1331) + -1 - (-2 + (sqrt(1331) - (1 + sqrt(1331)) - sqrt(1331))))*-3)**2.
-216072 - 5940*sqrt(11)
Simplify (2*sqrt(77)*4*3)/(1*1*sqrt(7)*1).
24*sqrt(11)
Simplify 5 + (0 + -3 + sqrt(425) + sqrt(425) - sqrt(34)/((sqrt(128)*4 - sqrt(128)) + sqrt(2))).
2 + 249*sqrt(17)/25
Simplify -2 + sqrt(1053) + 0 - sqrt(78)/((2*sqrt(66))/sqrt(11)).
-2 + 17*sqrt(13)/2
Simplify -4*(2*-3*sqrt(225))/((sqrt(147) - (sqrt(147) - sqrt(147)*-2))*3).
-20*sqrt(3)/7
Simplify (-1*(1*sqrt(288)*1*-3 + 0))**2*-2.
-5184
Simplify 2 + sqrt(143)/(sqrt(11) - (sqrt(11) - sqrt(11)*-3)) - (2*sqrt(208)*3)**2.
-7486 - sqrt(13)/3
Simplify (sqrt(48)/(3*sqrt(2)))/(6*sqrt(300))*1.
sqrt(2)/90
Simplify ((sqrt(243)*2 + -3 - (sqrt(243) + -2*sqrt(243))*4 - -6*((sqrt(243) + -1 - sqrt(243)) + 2))*2)**2.
1296*sqrt(3) + 35028
Simplify -3 + 3 + (5 + -4*(0 + sqrt(1300)))**2.
-400*sqrt(13) + 20825
Simplify -1*(-2 + (3*sqrt(7) + -3 + -2)**2).
-86 + 30*sqrt(7)
Simplify -5 + (6*-5*sqrt(500)*1)**2*-1*-5.
2249995
Simplify 3*(-3 + sqrt(2))**2*-5 + 1 + (sqrt(20)/sqrt(10) + 2)**2.
-158 + 94*sqrt(2)
Simplify sqrt(117) + (sqrt(117) + -2)**2 + -1*(-1 + sqrt(13)) + (sqrt(78)/(sqrt(12)/sqrt(2)) - sqrt(13))**2 + (1*sqrt(52) + sqrt(52))**2.
-10*sqrt(13) + 330
Simplify 3*(2 + (-4*(-3 + sqrt(1700)) + sqrt(1700) + sqrt(1700))**2 + sqrt(1700)).
-1410*sqrt(17) + 20838
Simplify (-1*(0 + sqrt(1200)))**2 + (-2 + 0 + sqrt(75))*3.
15*sqrt(3) + 1194
Simplify (5 + (-1*sqrt(39)*-5*4)/(sqrt(12)/sqrt(16) + (sqrt(3) - ((sqrt(243) + 2*sqrt(243) + sqrt(243) - sqrt(243)) + sqrt(3)))))**2.
-400*sqrt(13)/53 + 91025/2809
Simplify (sqrt(1872)*1 + 1 + 1 + (sqrt(1872) - -1*(sqrt(1872) + 0))*5)**2.
528*sqrt(13) + 226516
Simplify 5 + 2*sqrt(15)/(sqrt(3)*-3)*-1.
2*sqrt(5)/3 + 5
Simplify (1 + (sqrt(117) - (sqrt(117)*2 - sqrt(117))*3)/(sqrt(81)*5 - sqrt(9)))**2*-5.
-310/49 + 10*sqrt(13)/7
Simplify (3*(-2*sqrt(117)*-4 - sqrt(117)))/(sqrt(63)/(sqrt(7) + (sqrt(7) - (sqrt(7) + 4*sqrt(21)/sqrt(3))) - sqrt(7))).
-84*sqrt(13)
Simplify ((sqrt(240)/sqrt(3) + sqrt(20))/sqrt(10) + (sqrt(200) + (sqrt(200) + sqrt(200) + 2)**2 + sqrt(200) - (-4 + -1*sqrt(2))))*2.
208*sqrt(2) + 1616
Simplify (2 + sqrt(1300) + sqrt(1300)*2 + (sqrt(1300) + 0)*-2 - (((sqrt(1300) + 0)*-5 - sqrt(1300)) + sqrt(1300) - (sqrt(1300) + 0 + sqrt(1300) + -1)))**2.
160*sqrt(13) + 83201
Simplify -1 + (sqrt(98) + -1)**2 - -5*(-2 + 2*sqrt(2))**2.
-54*sqrt(2) + 158
Simplify ((sqrt(65) + sqrt(65) + sqrt(65) + sqrt(65) + (sqrt(65) - sqrt(65)*1))*3)/((sqrt(5)*2 - sqrt(5))*-3)*1.
-4*sqrt(13)
Simplify (sqrt(1088) - (sqrt(1088) + 2*(0 + sqrt(1088))**2)) + (sqrt(17) + 0 + sqrt(272) + sqrt(17))*3.
-2176 + 18*sqrt(17)
Simplify (-1*(1*sqrt(77) + sqrt(77) + sqrt(77)) - sqrt(77) - sqrt(77) - (sqrt(77) + -2*sqrt(77))*3)/(5*sqrt(275) - sqrt(11) - 1*sqrt(11)*2).
-sqrt(7)/11
Simplify ((sqrt(45) + -4*sqrt(4500) - sqrt(45))*-5)/(sqrt(45)/(sqrt(80)*4)).
3200*sqrt(5)
Simplify (-2 + 0 + (5 + -3 + sqrt(128) + -2)*6)**2.
-192*sqrt(2) + 4612
Simplify (sqrt(112) + -2)*-5 + -5.
-20*sqrt(7) + 5
Simplify (-2*sqrt(104)*3)/(-5*sqrt(56)/sqrt(7)).
6*sqrt(13)/5
Simplify 4 + (sqrt(162) - 3*(sqrt(162) + -3))**2 + 4.
-324*sqrt(2) + 737
Simplify 6*2*(2 + sqrt(1331)) + 1.
25 + 132*sqrt(11)
Simplify (4*sqrt(180)*-1*6*5 + 1)**2 + -2.
-1440*sqrt(5) + 2591999
Simplify sqrt(204)/(sqrt(12)*3) + (-2*sqrt(1088))**2 - ((sqrt(153) + 0 + 4 + sqrt(153) - sqrt(153))**2 - sqrt(153) - sqrt(153))*-4.
217*sqrt(17)/3 + 5028
Simplify 2 + -4*((sqrt(243) + 3 + sqrt(243) + sqrt(243))*-3 + sqrt(243)).
38 + 288*sqrt(3)
Simplify -3*(sqrt(20) - (sqrt(20) + (sqrt(200) + sqrt(200)*-1 + sqrt(200))/sqrt(10)))/(sqrt(4) + (sqrt(4) - sqrt(8)/sqrt(18)))*6.
54*sqrt(5)/5
Simplify (sqrt(32)*4*-4 + sqrt(32) + sqrt(64)/(sqrt(2)*4) + -1)**2.
118*sqrt(2) + 6963
Simplify (sqrt(42)/(sqrt(600)*-1 - sqrt(6))*-4 + (sqrt(7) - (sqrt(28)/(sqrt(4)*-3) - sqrt(7)) - (sqrt(21)/sqrt(3) + -5)))**2.
560*sqrt(7)/33 + 49177/1089
Simplify ((sqrt(156) + 4*sqrt(156))*2)/(sqrt(216)/sqrt(2)).
10*sqrt(13)/3
Simplify -5 + (sqrt(20)*5 - sqrt(20))/sqrt(10) - (sqrt(8)/sqrt(324) + 1)**2.
-488/81 + 34*sqrt(2)/9
Simplify (0 + (sqrt(88)/sqrt(2))/sqrt(4))**2 + ((3 + sqrt(1584))*-6)**2.
2592*sqrt(11) + 57359
Simplify -5*sqrt(35)/(sqrt(120)/sqrt(6))*4.
-10*sqrt(7)
Simplify (sqrt(156) - 4*((sqrt(156) - (sqrt(156) - sqrt(156)*1)) + sqrt(156)))/(sqrt(192)*-3).
7*sqrt(13)/12
Simplify (((sqrt(180) - sqrt(180)*-2 - sqrt(180) - sqrt(180))*3)/sqrt(4))/(sqrt(27)/((-1*sqrt(18))/sqrt(6))).
-3*sqrt(5)
Simplify 0 + 1*(3 + sqrt(891)) + 4.
7 + 9*sqrt(11)
Simplify 6*sqrt(25)/(sqrt(5)*3) + 3 + -1.
2 + 2*sqrt(5)
Simplify -1*(1 + sqrt(1152) + -1 + 0 + sqrt(2178) + sqrt(2178) + -4)**2.
-16216 + 720*sqrt(2)
Simplify (5*sqrt(84)*-1 + 2*sqrt(84)*-2)/((sqrt(12) + sqrt(108)*-1)*6).
3*sqrt(7)/4
Simplify (-1*(sqrt(45) + 0))**2 + ((-2*sqrt(315) - sqrt(315))/sqrt(7) + sqrt(45))**2 + (-2*sqrt(120)/sqrt(2))/(sqrt(972)*2).
-sqrt(5)/9 + 225
Simplify -2 + 5 + (5*1*sqrt(1573))**2*-2 + 3.
-78644
Simplify (sqrt(75)*3 + -1 + sqrt(75))**2 + 1 + -3 + -2*sqrt(75) + 0 + (sqrt(75) - -2*sqrt(75)).
-35*sqrt(3) + 1199
Simplify 2*(-4 + sqrt(432) + sqrt(432))**2 + 5*(sqrt(210)/sqrt(7))/sqrt(10).
-379*sqrt(3) + 3488
Simplify (-4*(sqrt(140) + sqrt(35)))/((sqrt(405) - sqrt(45))/sqrt(9)) - ((-1 + sqrt(252) + -4 + sqrt(252) - sqrt(252)) + 3).
-12*sqrt(7) + 2
Simplify 4*sqrt(104)/sqrt(2) - 4*(sqrt(208) + (sqrt(208) - (sqrt(208) - (sqrt(208) + sqrt(208) + 1))))**2.
-7492 - 88*sqrt(13)
Simplify (sqrt(117) - (sqrt(117) - 2*sqrt(117))*-2)/sqrt(9)*3 - (2 + (2*sqrt(13) + sqrt(13))*-4)*-3.
-39*sqrt(13) + 6
Simplify sqrt(176)*1*5 + sqrt(275)*2 + (sqrt(539)*2)**2 + -5.
30*sqrt(11) + 2151
Simplify (-3*(sqrt(567) + (3*sqrt(567)*-1 - sqrt(567)) - (0 + sqrt(567))*4) + 2)**2.
756*sqrt(7) + 250051
Simplify (sqrt(264)/((-2*sqrt(11) - sqrt(11)) + sqrt(11)))/(sqrt(48)*6) - ((sqrt(128)*-4 - sqrt(8)) + sqrt(8))/(sqrt(8)/(sqrt(6)/sqrt(3))).
383*sqrt(2)/24
Simplify 3*3*((3 + 2*sqrt(2057))*-4)**2.
19008*sqrt(17) + 1186128
Simplify (sqrt(133) - 3*(2*sqrt(133) + sqrt(133)))/(sqrt(56)/sqrt(800)).
-80*sqrt(19)
Simplify (-1*sqrt(243))**2*-1 - ((sqrt(24) + sqrt(72)/sqrt(3))/sqrt(8) + (0 + sqrt(3) + -3)**2).
-255 + 4*sqrt(3)
Simplify (1*sqrt(192)*2)/(sqrt(120)/(1*sqrt(5))).
4*sqrt(2)
Simplify 2*(-1 + sqrt(99)*2)*-5*6.
-360*sqrt(11) + 60
Simplify (5 + -3*sqrt(9)/sqrt(3) + 2*sqrt(3)*-2 - (3 + -2*sqrt(432)*6))**2.
548*sqrt(3) + 56311
Simplify sqrt(35)/(sqrt(7)*-1) + -1 - (2 + sqrt(125)*2)**2.
-505 - 41*sqrt(5)
Simplify ((sqrt(1200)*-2 - sqrt(1200) - sqrt(1200))/sqrt(4) + 5 + sqrt(243) + -1 + sqrt(243) + 3)**2.
-308*sqrt(3) + 1501
Simplify (sqrt(2100) + -2*1*sqrt(2100) - sqrt(2100))/(sqrt(300) + -5*-2*sqrt(300)).
-2*sqrt(7)/11
Simplify ((sqrt(55) + sqrt(6655)*3 + sqrt(6655) + sqrt(6655))/sqrt(5) - ((sqrt(44)/(sqrt(20)/sqrt(5) + sqrt(4)) - sqrt(11)) + -1*sqrt(891)))**2.
188771/4
Simplify (-3*1*sqrt(30)/sqrt(3))/(-1*6*(sqrt(180) - sqrt(5))).
sqrt(2)/10
Simplify -5 + ((sqrt(500) + sqrt(500) + 1 + 3)**2 + -2)*5.
800*sqrt(5) + 10065
Simplify (-6*(sqrt(1700) + 6*-2*sqrt(1700) - (-4 + (sqrt(1700) - (sqrt(1700) | {
"pile_set_name": "DM Mathematics"
} |
0 + 1) + 5*z + 0*z - 3*z) + (1 - 1 - z)*(-3 - 2*z + 3) + z - z + 2*z**2 - 4*z + 4*z + z**2.
71*z**2
Expand (3*l + 17 + 30 + 6)*(-1 + 1 + 1).
3*l + 53
Expand 3*a**2 - 5*a + 5*a + a**2 + 3*a**2 + 4*a**2 + (3*a - 3*a - 2*a)*(5*a + 0*a - 3*a).
7*a**2
Expand (0*a**2 + 3*a**2 - 2*a - 5*a**2)*(-65*a**2 - 70*a**2 + 141*a**2).
-12*a**4 - 12*a**3
Expand -h - 1 + h + h + 1 - h - 1 + 6*h + 0 + 0 + (3*h + h - 5*h)*(0 - 4 + 2).
8*h - 1
Expand (2 - u**3 - 2)*(1 - 1 - 3)*(3 - 4 + 2)*(0 + 0 + 1)*(4 + 0 + 11).
45*u**3
Expand (-2 + 38*y + 3 - 39*y)*(y - 7*y + 4*y).
2*y**2 - 2*y
Expand (l**2 - 1048*l - 2 + 0*l**2 + 1053*l)*(-3*l + 2*l - l).
-2*l**3 - 10*l**2 + 4*l
Expand -u**5 + 3*u**5 + 0*u**5 + (5*u**4 + u**4 - 2*u**4)*(4*u + 0*u - 2*u) + 2*u**5 - 2*u**5 - 2*u**5 + u**5 + 0*u + 0*u.
9*u**5
Expand (2 - 1 - 3)*(2*k + k - 5*k) + 2*k - k + 0*k + 2*k + 0 + 0 + (4*k - 5*k - k)*(-1 + 3 + 0) + k + k - k + 2*k - 2 + 2 + (-1 + 0 - 2)*(4*k - 6*k - 15*k).
57*k
Expand (-7 + 5 - 2)*(-2*t**3 + 2*t**3 - 2*t**4).
8*t**4
Expand (-l**2 - 3*l + 2*l**2 + 0*l**2)*(l - 4*l + 7*l).
4*l**3 - 12*l**2
Expand (1 + 4 - 6)*(-4 + 4 + i) + (3 + 1 - 3)*(-2*i + 4*i - 4*i) + 0*i - i + 2*i + i + 2*i - i + (-2*i + 5*i + 3*i)*(-3 + 3 + 1).
6*i
Expand (4 - 4 - 1)*(-8*g + 2*g - 8*g).
14*g
Expand 2*q**2 - q + q + 57*q - 57*q - 9*q**2 + 2*q**2 - 3*q**2 - q**2 + (-4 + 1 + 2)*(-1 + 1 + 2*q**2).
-11*q**2
Expand (-5 + 4 + 2)*(0*f - 3*f + 4*f) + 1 - 1 - 2*f + (f - f - f)*(-3 + 5 + 1) - 3*f - 3 + 3.
-7*f
Expand (-2 - 1 - 1)*(g + g - 3*g)*(-1 + 0 + 5).
16*g
Expand ((2*w + 4*w - 5*w)*(2*w - 1 + 1) + 3*w**2 - 2*w**2 + w**2 - 9*w**2 + 5*w**2 - 36*w**2)*(3 + 0 - 1).
-72*w**2
Expand (-2 - 2 + 3)*(-1 + 3 - 1)*(2*t - 4*t - 2*t).
4*t
Expand (-4*g**2 + 6*g**2 - 3*g**2)*(2*g**2 - 5*g**2 + g**2) + 7*g**4 + 3*g**4 + 5*g**4.
17*g**4
Expand (2*c + 3*c - 4*c)*(2 - 2 + 1)*(1 - 1 - 2)*(c - c - 2*c).
4*c**2
Expand (a + 3 - 3)*(2*a**2 + a**2 + 0*a**2) + 3 - 3 + 2*a**3 + (a**3 - 5*a**3 + 3*a**3)*(2 - 6 + 2) + a**3 - 3*a + 3*a.
8*a**3
Expand (-107 + 107 - 10*g)*(2*g**2 - g**2 + 0*g**2).
-10*g**3
Expand (1 + 3*u - 1)*(3*u**2 + 4*u**2 - 5*u**2)*(-3*u + 4*u + 2*u).
18*u**4
Expand (-3*w**3 - 2*w + 2*w)*(3 - 6 + 1 + (-3 + 1 + 3)*(-3 + 6 - 2) - 2 + 1 + 2 + 1 - 1 + 2).
-6*w**3
Expand (r**2 + 3*r**2 - 3*r**2)*(2*r - 398 + 407 - r).
r**3 + 9*r**2
Expand (2*n**3 + 0*n**3 + n**3)*(-2 + 3*n - 3*n + 6*n).
18*n**4 - 6*n**3
Expand (-2*z + 4 - 5 + 10)*(2*z - 1 + 1).
-4*z**2 + 18*z
Expand 4*j**3 + 5 - 5 + (0*j - j + 4*j)*(1 - 1 - 2*j**2)*(-3 + 4 + 3).
-20*j**3
Expand -7*s**2 + 7*s**2 - 9*s**4 + (0*s - s**2 + 0*s)*(-s**2 + 2*s**2 - 3*s**2) - s**4 - 3*s**4 + 5*s**4.
-6*s**4
Expand (36 - 35 + 24)*(-4*p + 4*p + p).
25*p
Expand (6*u**3 + 6*u**3 - u**3)*(u**2 + 0*u**2 - 4*u**2) + 2*u**5 - 3*u**5 + 2*u**5.
-32*u**5
Expand (w + 2*w - 2*w)*(2*w**3 + 9*w - 3 - 9*w).
2*w**4 - 3*w
Expand (3*z**3 - z**3 - z**3)*(158 - 20*z - 158).
-20*z**4
Expand (n - 5*n - n)*(-4*n**2 + 0*n**2 + 5*n**2).
-5*n**3
Expand (-5*h + h + 2*h)*(0 + 2 + 0) + 4*h + 0*h - 3*h + 1 - 1 - 2*h - 2*h - 4*h + 5*h + (3 + 2*h - 3)*(-5 - 12 + 21).
2*h
Expand (-3*t + 5*t - t - 2*t + 3*t - 3*t + 2 + 2*t - 2 + (3*t + 4*t - 6*t)*(-2 + 2 - 1) + 3*t - 5*t - 4*t)*(6 - 3 - 4).
6*t
Expand -24*r**3 + 5*r**3 + 0*r**3 + (-r - r**2 + r)*(0 + 0 - r).
-18*r**3
Expand (-3 - 2*n**2 + 3)*(2*n**2 + n**2 + 0*n**2 + 2).
-6*n**4 - 4*n**2
Expand (0 - 1 - 1)*(-1 - 3 + 6)*(17*v**5 - 21*v + 21*v).
-68*v**5
Expand (11 - 11 + 3*y)*(-2*y - 3*y + 6*y).
3*y**2
Expand (-5 - 3*g + 5)*(-7 + 3 - 4).
24*g
Expand 4*i**4 - 4*i**4 - 2*i**5 + (i**3 + 37*i**5 - i**3)*(0 + 1 + 1).
72*i**5
Expand (-2 - 2 + 0)*(-1 - 2 + 1)*(-2 + 2*h**3 + 2).
16*h**3
Expand (2*f - f + 0*f)*(13*f**2 + 15*f**2 - 25*f**2).
3*f**3
Expand (-15*h + 39 - 39 + (-4 + 3 + 2)*(-h - 2 + 2))*(-1 - 3 + 3).
16*h
Expand (4*x**4 - 4*x**4 + 3*x**5)*(3 - 1 + 0 + (-3 + 2 + 2)*(3 - 1 - 3)).
3*x**5
Expand 3*g**4 + 0*g**4 - g**4 - 3*g**4 + g**4 + 3*g**4 + (-g**3 - 2*g**3 + 4*g**3)*(-1 + 1 + 3*g) + 0*g**4 - 3*g**4 - g**4.
2*g**4
Expand (1 + 3 - 6)*(j - 4*j + 2*j)*(-j**2 - j**2 + 0*j**2)*(-4*j + j + 4*j).
-4*j**4
Expand (2*m - m - 2*m)*(-3 + 1 + 1) + 3*m + 2*m - 2*m + 3*m - 4*m + 4*m.
7*m
Expand 3*m**4 - 2*m + 2*m + (-5*m**3 + 4*m**3 - 4*m**3)*(2*m - m + 0*m).
-2*m**4
Expand (-2*x + 2*x + x)*(x - 5*x + 3*x) - 6*x**2 + 5*x - 5*x.
-7*x**2
Expand (4*a**2 - a**2 - a**2)*(17 - 1 + 2)*(a + 5*a - 4*a).
72*a**3
Expand (4*f + 5 + 2 - 5*f)*(-2 + 2 + 2*f).
-2*f**2 + 14*f
Expand (19 - 48 + 22)*(0*c - 3*c + 2*c).
7*c
Expand (-g - g + g)*(0*g**4 + 0*g**4 - 2*g**4 - 2*g**4 + 6*g**4 - 2*g**4 + (-3 + g + 3)*(4*g**2 - 4*g**2 - g**3)) + (-3*g + g + g)*(-4*g**4 + 5*g**4 + 2*g**4).
-2*g**5
Expand (y - 3*y + 0*y)*(0*y**2 + 0*y**2 + y**2 + (0 + 1 + 0)*(4*y**2 + y**2 - 2*y**2)).
-8*y**3
Expand (7*n + 8 - 8)*(-3 + 0 + 1).
-14*n
Expand 4*n**2 - 3*n**2 - 3*n**2 + (-2*n + 0*n + 0*n)*(-5*n - 5*n + 3*n).
12*n**2
Expand (0 + 3 - 5)*(0*g + 0*g + 2*g**4) + 4*g**4 - 6*g**4 + 3*g**4 + (g - 2 + 2)*(3*g**3 - 2*g**3 + 0*g**3).
-2*g**4
Expand (-3 + 0 + 5)*(2*r + 3*r - 16 - 3*r).
4*r - 32
Expand (-4*q**2 + q**2 + 2*q**2)*(-q + q - 5*q + (-3 + 0 + 5)*(-q + 0*q + 0*q)).
7*q**3
Expand (3*t**2 - t**2 - 3*t**2)*(-8*t + 13*t**3 + 8*t).
-13*t**5
Expand -16*w + 4 - 4 + 2*w + 2*w - 2*w + (0 - 1 - 1)*(5*w - 4*w + w) + w - 3*w + w.
-19*w
Expand 6 - 2*x**4 - 6 + (7*x - 5*x + 2 - 4*x)*(-2*x + 2*x + 3*x**3).
-8*x**4 + 6*x**3
Expand (-5*q**2 + 0*q**2 + 4*q**2 + (-5*q**2 - q**2 + q**2)*(-3 + 5 - 3))*(0*q - 3*q + q).
-8*q**3
Expand 1 - 1 - 2*i**2 + (3*i - i - i)*(0 + 0 - 2*i) + (3*i - 3*i + i)*(2*i - 2*i - 5*i).
-9*i**2
Expand (5*t + 10*t - 7*t)*((-2 + 2 - 2*t)*(-3 + 1 - 1) + 0*t - 4*t + 2*t).
32*t**2
Expand 3*z**3 + 2*z**3 + z**3 + (4*z + 3*z - 5*z)*(-z**2 + z**2 - z**2) + (-z**3 + 2*z**3 + z**3)*(-2 + 0 + 1).
2*z**3
Expand ((2*y + 5 - 5)*(4 - 1 - 5) + 0*y + 4*y - 3*y)*(4*y**2 - y**2 - y**2).
-6*y**3
Expand (3*z**4 - z**4 - z**4)*(-4 - 3 + 2).
-5*z**4
Expand s**5 + 2*s**2 - 2*s**2 + (-2*s**2 + 0*s + 0*s)*(3*s**3 - 2*s**3 + s**3) - 3*s**5 - 6*s**4 + 0*s**4 + 4*s**4.
-6*s**5 - 2*s**4
Expand (-55*t**3 - 18 + 15 + 4)*(5*t - 2*t - t).
-110*t**4 + 2*t
Expand (-3*f + 5*f - f)*(-7 + 1 + 2).
-4*f
Expand -2*d**4 + 0*d**4 + 0*d**4 + (-d - 2*d + 0*d)*(2*d - 2*d**3 - 2*d) + (2*d**3 - 3*d**3 - 2*d**3)*(-4*d + 2*d + 3*d).
d**4
Expand (0*w**3 + 4*w**3 - 5*w**3)*(-w - w + 0*w) + 0 + 4*w**4 + 5 - 3*w**4.
3*w**4 + 5
Expand (1 + 2 - 1)*(-4*d + 3*d - d)*(5*d + 0*d - 4*d)*(-d**2 - 2*d**2 + 5*d**2).
-8*d**4
Expand (2*n + 0*n - 4*n)*(-4 - 2 + 5) + 0*n + n + 0*n.
3*n
Expand 44 + 16*q**4 - 44 + (-q + 4*q - q)*(-5*q**3 + 3*q**3 - q**3) + q**4 + 0*q**4 + q**4.
12*q**4
Expand (-y + 2*y + 7*y)*(-3*y**2 + 3*y**2 + y**2)*(1 + 0 - 2*y + 3).
-16*y**4 + 32*y**3
Expand (f - f - f)*(f + 2*f - 8*f) + 0*f**2 + 2*f**2 - f**2 + 3*f**2 - 3*f**2 - f**2 + (0*f + f - 3*f)*(4*f - 6*f + 0*f) - f**2 + 2*f**2 + 0*f**2.
10*f**2
Expand (2*w + 3 - 3)*(-5*w**4 + 3*w**4 + 3*w**4) - w**5 + 0*w**4 + 0*w**4 + (3*w - w + 0*w)*(13*w**4 - 104 + 104).
27*w**5
Expand (-13*z**2 + z**3 + 13*z**2)*(0*z + 2*z - 3*z)*(2 + 1 - 2).
-z**4
Expand (b**2 + b**3 - b**2)*(-4*b - 3*b + 6*b) - 6*b**4 + 3 - 3.
-7*b**4
Expand (2*u + u + 0*u)*((4 + 2*u - 4)*(u**3 + u**3 - 4*u**3) - 2*u**4 + u**4 - u**4).
-18*u**5
Expand (2 + 0 - 3)*(-2*h**2 + 2*h**2 + 2*h**2) + 3*h**2 + 3*h**2 - 2*h**2.
2*h**2
Expand (1 - 1 + 2*f)*(-2*f**3 + 4*f**3 - 4*f**3) + (5*f**3 + 4*f**3 + 4*f**3)*(3 - 3 - 2*f).
-30*f**4
Expand 0 + 2*b**5 + 0 + (-b**4 + 3*b - 3*b)*(12*b - 4*b + 4*b).
-10*b**5
Expand (-3*t**2 + 0*t**2 + 2*t + 2*t**2)*(-2 + 0 + 0).
2*t**2 - 4*t
Expand (2 + 16 + 5)*(-2*w + 2*w - w**2) + w**2 + w - w.
-22*w**2
Expand (r**2 - r**2 + r**2)*(7 - 2 + 1)*(0*r + 0*r + 4*r) + (-5*r**2 + r**2 + 2*r**2)*(-2 + 2 - 2*r).
28*r**3
Expand (-i**2 + 0*i**2 + 0*i**2)*(4*i + 0*i - 5*i) + (1 + 3 - 5)*(2*i**2 - 2*i**2 + 2*i**3) + 14*i**3 + 10*i**3 - 10*i**3.
13*i**3
Expand (1 - 1 + m)*(-m**3 - 3*m**3 + 7*m**3).
3*m**4
Expand (4*a**3 + 3*a**4 - 4*a**3)*(-1 + 1 - 1)*(3*a + 0 + 0 + (2 - 3 - 1)*(0*a - 3*a + a)).
-21*a**5
Expand (4 - 3 + 3)*(-4 + 0 + 2*w + 3).
8*w - 4
Expand (-o**5 - 2*o**3 + 2*o**3)*(119 - 61 - 61).
3*o**5
Expand (1807*r**3 + r - 15*r - 1810*r**3)*(-3*r**2 + 0*r**2 + r**2).
6*r**5 + 28*r**3
Expand (0*i - 3*i + i)*(9*i**3 + 7*i**3 | {
"pile_set_name": "DM Mathematics"
} |
tors of n.
11
Suppose -2*w = -33 + 1. Let q be w*(-1 - (-3)/2). Let x(t) = 6*t + 5. List the prime factors of x(q).
53
Let n(v) = v**3 - 16*v**2 + 5*v + 30. Suppose 162 = 12*u - 30. List the prime factors of n(u).
2, 5, 11
Suppose 0 = -3*c + 5*u + 27 - 9, 0 = -2*u. Suppose c*k = 8*k - 178. List the prime factors of k.
89
Suppose -5*v + 2374 + 851 = 0. What are the prime factors of v?
3, 5, 43
Let u(y) be the third derivative of -y**6/120 - 2*y**5/15 - 5*y**4/12 - y**3/6 - 45*y**2. List the prime factors of u(-7).
2, 5
Let w(u) = 7*u - 6. Let f be w(13). Suppose -3*z + 109 - f = 0. List the prime factors of z.
2
Suppose 153*f - 134*f - 27037 = 0. List the prime factors of f.
1423
Suppose -3*l + 394 = -5*t, 37 = l + 2*t - 98. Suppose 26 = -2*n - 3*i - 150, 2*n - 4*i + 176 = 0. Let h = n + l. List the prime factors of h.
3, 5
Suppose 24*j = 34338 + 28614. List the prime factors of j.
43, 61
Suppose a = 1180 + 1875. List the prime factors of a.
5, 13, 47
Let r = 4274 - 1382. What are the prime factors of r?
2, 3, 241
Suppose -159*l + 11010 = -153*l. Suppose l - 358 = 7*b. What are the prime factors of b?
211
Let f(g) = 80*g - 8. Let y be f(-5). List the prime factors of ((-3)/6)/(3/y).
2, 17
Let p(y) = 5*y**2 + 2*y + 2. Let i(f) = -f + 12. Let s be i(0). Let b = s + -15. What are the prime factors of p(b)?
41
Let c(t) = -3*t**3 - 3*t**2 + 2. Let s be c(-1). Let i be (-81)/15 - 3/5. List the prime factors of s + i + (40 - 0).
2, 3
Suppose -8 = 2*h - 6. Let p be (-4)/(-4) - (h + 2). What are the prime factors of -44*(p - (-1)/(-2))?
2, 11
Let d(v) = 3*v + 4. Let t be (-4)/6*(-9 + 0). Let p be d(t). Suppose f + 3*f = -2*l + 14, -l + 3*f + p = 0. List the prime factors of l.
13
Let b = 226 + -10. List the prime factors of (-6)/33 + b/99.
2
Let z(f) = -f**2 + 10*f + 5. Let o(i) = i**3 + 14*i**2 - 2*i - 18. Let a be o(-14). Let t be z(a). List the prime factors of ((-108)/12)/((-1)/t).
3, 5
Suppose t = -4*o - 241, 3*t - t + 2 = 0. Let i be 89 - (1*4)/2. Let g = o + i. List the prime factors of g.
3
Let n = 28 - 24. Suppose -5*r + 200 = 2*i, 3*r + 3*i = n*r - 40. What are the prime factors of r?
2, 5
Let n be 63/(-18)*8/14. What are the prime factors of 2 - n/2*34?
2, 3
Let r be (4 - 1)/1 - -1. Let v(x) = -r*x + 16 - 7*x + 12*x. What are the prime factors of v(-11)?
5
List the prime factors of (118/(-236))/((14/17616)/(-7)).
2, 3, 367
Let t(p) be the second derivative of p**3/3 + 11*p**2/2 - p. Let z be 34/(-68)*(-10)/3*3. What are the prime factors of t(z)?
3, 7
Suppose 3*x = -5*h + 279 + 2485, 0 = -4*x - 2*h + 3690. What are the prime factors of x?
13, 71
Suppose 4*r - 34 = 2. Let p = -9 + r. Suppose p*o = 2*o - 26. List the prime factors of o.
13
Let h(n) = 5*n**2 + 8*n + 10. Let m be h(-5). Suppose -k = 2*l - 4*k - m, -k = -4*l + 175. List the prime factors of l.
43
Let m = 3920 - 1475. List the prime factors of m.
3, 5, 163
Suppose -1885 + 10045 = 3*d. What are the prime factors of d?
2, 5, 17
Suppose -3*i - 54 = 5*t - 218, 3*i - t = 158. Suppose 50*m + 921 = i*m. List the prime factors of m.
307
Let n = -5850 + 8597. What are the prime factors of n?
41, 67
Let s = 3 + 2. Suppose 0 = -s*j + 2*j + 48. Let d = 30 - j. What are the prime factors of d?
2, 7
Let q = 860 + -418. List the prime factors of q.
2, 13, 17
Let l(w) = w**3 - w**2 + w - 3. Let x be l(0). Suppose 237 = -2*h + 33. List the prime factors of 1/(x/h) - -4.
2, 19
Suppose -3*h + 50 + 51 = 2*x, 4*x - 3*h = 211. List the prime factors of (1 + -2)/((-4)/x).
13
Suppose -4*l - 3*h + 18 = -79, -2*h = -5*l + 127. What are the prime factors of l?
5
Suppose -4*t = 0, b + 4*t + 65 = -121. What are the prime factors of 21/(-6) + 4 + b/(-4)?
47
Let f(t) = t**3 - 4*t**2 + 3*t. Let d be f(3). List the prime factors of 0 - (d - (-1 + 279)).
2, 139
Suppose 2905 = i + 2542. List the prime factors of i.
3, 11
Let h(v) = v**3 + 13*v**2 + v - 10. Let d be h(-10). Suppose 2*g = -2*g + d. Suppose 170 = 5*w - g. What are the prime factors of w?
2, 3
Let a(d) = -d**3 + 3*d**2 + 3*d + 2. Let c be a(4). Let n be (c - -3)*(2 - -3). Suppose 3*v - 5*f = 65, 2*f = 5*v + n*f - 131. List the prime factors of v.
5
Suppose 95*p - 86*p - 12960 = 0. What are the prime factors of p?
2, 3, 5
Let s = -150 - -34. Let d = 59 - s. List the prime factors of d.
5, 7
Let x(n) = -49 - 4*n + 30 - 5 - 2*n. What are the prime factors of x(-6)?
2, 3
Suppose -9 + 54 = 3*v. Let a = v + -13. Suppose 135 = 3*o - 3*p, a*p = 4*p - 10. What are the prime factors of o?
2, 5
Let i = 2 - -60. List the prime factors of i/4 + (-3)/2.
2, 7
Let k = -132 + 36. Let c = k - -161. List the prime factors of c.
5, 13
Suppose 11*f = 15885 - 4643. List the prime factors of f.
2, 7, 73
Suppose -3*t + 0 = -6. Suppose 4*s - 5*w = 4, -2*s + t*w + 2 = w. List the prime factors of (0 - s)/(4/(-68)).
17
Suppose -4*h = -4*u + 264, -5*h - 146 = 4*u - 428. List the prime factors of (u/3)/((-1)/(-6)).
2, 17
Suppose 0 = 49*k - 53*k + 20, -2*k = 4*m - 2726. What are the prime factors of m?
7, 97
Suppose 0*u + 143 = 3*u + m, 0 = -4*u - 3*m + 189. Suppose i + o - 10 = u, 0 = -4*i + 5*o + 223. What are the prime factors of i?
3, 19
Let q = -12 + 14. Let o be (1 + (q - -1))*1. Suppose o*d - 2*c = 24, -1 + 7 = d + c. List the prime factors of d.
2, 3
Let y be (-4)/((-25)/5 - -4). Suppose h = -y*h - 3*u + 89, -2*h + 4*u + 46 = 0. List the prime factors of h.
19
Let q(l) = -l**3 + 18*l**2 + 9*l - 7. Let u be q(6). Suppose 4*s + 5*t = -0*s + u, 5*s - 604 = -t. What are the prime factors of s?
11
Let s = 132 + -60. Suppose -s = -z - 5*j, -230 = -3*z - j + 42. Suppose -q + 5*v + z = 0, -3*q - q - 4*v = -248. What are the prime factors of q?
67
Let b = 8 + -11. Let n be (-16)/b*-2*-6. Suppose m - n = -m. List the prime factors of m.
2
Suppose 0 = 3*s + 9 + 9. Let t = 60 - s. List the prime factors of t.
2, 3, 11
Suppose 0*r + 9*r - 45 = 0. Suppose -3*v = -0*v - 2*c - 67, -r*v + 3*c + 113 = 0. What are the prime factors of v?
5
Let n(w) = 13*w - 8 + 4 - 1. What are the prime factors of n(5)?
2, 3, 5
Let m(a) = -59*a**3 + a + 1. Let v be m(-1). Suppose -2*w - 159 + v = 0. Let k = w - -71. What are the prime factors of k?
3, 7
Let z = -399 - -601. What are the prime factors of z?
2, 101
Suppose 3407 = 2*f - 5*v, 21*f = 20*f - v + 1714. List the prime factors of f.
29, 59
Let d = -18 - -18. Suppose 2*y - 27 - 25 = d. What are the prime factors of y?
2, 13
Let z(p) = -2*p**3 + 42*p**2 + 36*p + 93. List the prime factors of z(19).
2221
Suppose -48*a = -51*a. Suppose a = 9*q + 90 + 9. What are the prime factors of -4 - (q - 2) - 2?
7
Let i = -57 - -498. What are the prime factors of i?
3, 7
Suppose -4*v - 15 = -9*v - j, 0 = 4*j + 20. Let p be 18/24 - 123/v. List the prime factors of (-9)/15 + (-978)/p.
2
Suppose 0 = 5*y - 2*y - 3*z + 99, 4*y - 5*z + 133 = 0. Let x = 54 + y. Suppose -j = -t + x, 9*t - 106 = 4*t + 4*j. List the prime factors of t.
2, 3
Let g be -1*(-1)/3*6. Suppose 0 = i - 4*c - 15, g*i - 6 = -c - 3. Suppose -4*b - 110 = -6*b + 4*w, -4*w + 125 = i*b. What are the prime factors of b?
47
Let w(r) = -31*r**2 - 8 + 5*r + 13*r**2 + 11*r**2 + r**3. What are the prime factors of w(7)?
3
Let m(q) = -q**2 - 29*q + 3042. What are the prime factors of m(0)?
2, 3, 13
Let l be (-883)/(-2) + (-6)/4. Suppose -4*n + 88 + 66 = 2*o, 0 = 5*o - n - l. Suppose -5*a = -g - 4*g - 125, 3*g - o = -3*a. What are the prime factors of a?
3
Suppose d - 5 = 6*d. List the prime factors of 1485/33 - 0/(0 + d).
3, 5
Let r = -1928 + 2731. List the prime factors of r.
11, 73
Suppose -230 = -3*x + x - 4*s, s = -3. Suppose -5*i + x = 2*m - m, -3*i - 3*m = -75. What are the prime factors of i?
2, 3
Let x = -8 + 13. Suppose -x*w + 259 = -131. What are the prime factors of w?
2, 3, 13
Let m = 11 - 13. Let q(i) = 4*i**2 - i. Let z be q(m). Let x = 9 + z. List the prime factors of x.
3
Suppose 3*l - 6 = 9. Suppose -2*s + l*x = s + 17, -s = -2*x + 7. What are the prime factors of 45 - 8 - (-2)/s?
3, 13
Let q(c) be the second derivative of -11/6*c**3 + 0 + 2*c + 1/2*c**2 - 1/12*c**4. List the prime factors of q(-9).
19
Suppose 3*b - 5*l = 4, 2*l = 2*b - 4*b + 24. Suppose 0 = -13*o + b*o + 10. List the prime factors of o.
2
Let s(w) = w**3 + w**2 + 14*w - 30. Let r(o) = o**3 - 2*o**2 + 4*o - 2. Let z be r(2). Wh | {
"pile_set_name": "DM Mathematics"
} |
4/15)/((-6)/(-45)). Let f = 22 - c. List the prime factors of f - 3*1/1.
7
Suppose 0 = -4*c, 5*c = 5*w - 10 - 10. Suppose w*k + 32 = 2*u, -1 + 16 = -3*k. Suppose -3*g = -4*i - 21, u*i - 4*i - 14 = -2*g. What are the prime factors of g?
7
Suppose i - 3*u = -2*i + 12, 2 = u. Let y = 21 - i. What are the prime factors of y?
3, 5
Let u(k) = -4 + 40*k - 34*k + 11*k**2 - 5*k**2 + 5*k**2. List the prime factors of u(-3).
7, 11
Let t(p) = p**3 - 4*p**2 - 2*p - 4. Let r be t(5). Let w = r - -222. List the prime factors of w.
233
Let c = -315 + 489. What are the prime factors of c?
2, 3, 29
Suppose t = -2*v + 5, 7*t - 4*t = -3*v + 9. Let f(k) = -2*k**2 + 1. Let w be f(t). List the prime factors of (w - -5)*(6 - 2).
2
Suppose 14 = -2*q + m, 4*q + 22 + 12 = 5*m. Let x(a) = -21*a - 14. What are the prime factors of x(q)?
2, 7
What are the prime factors of (-552)/(-18)*6*5?
2, 5, 23
Let a(f) = -f**2 + 22*f + 4. Let v be a(27). What are the prime factors of (12 - 5)*(v/(-7) + 1)?
2, 3, 23
Let l be (-2)/6 - 10/(-3). Suppose b + 15 = 5*j - 3*b, -4*b - 9 = -3*j. Suppose -j*d - l*p + 18 = 0, 4*d - 13 - 2 = 5*p. List the prime factors of d.
5
Let g(t) = t - 5. Let h be g(-10). Let u be 2/(-10) - 3/h. Suppose 62 = 5*x - 3*n, u*x - 22 = -2*x + 4*n. List the prime factors of x.
13
Suppose 0 = -3*u - 5*j + 7726, 2*u + 0*j + j = 5146. What are the prime factors of u?
2, 643
Suppose 4*h + 1603 = 3*r, 6*r = 2*r + 4*h + 2140. What are the prime factors of r?
3, 179
Suppose 5*v = v. Suppose v = 3*x + m - 0*m - 70, -25 = 5*m. Suppose 2*k - x = k. List the prime factors of k.
5
Let y(t) = 61*t**3 - 1 - 12*t**2 + t + 12*t**2. Let g be y(1). Let f = 99 - g. List the prime factors of f.
2, 19
List the prime factors of (-237732)/(-484) - 2/11.
491
Suppose 4*j - 17 - 3 = 0. Suppose -o - t = -57, j*t - 119 = -2*o + 2*t. What are the prime factors of o?
2, 13
Suppose -5 = t + 2*v, -3*v + 7*v + 4 = 0. Let a be (-10)/15 - 14/t. Suppose 5*f = a*l - 94, 3*l - 4*f + 6*f - 59 = 0. What are the prime factors of l?
3, 7
Let k = 17 - 14. Let r be -17 + 1 - 6/6. List the prime factors of -3 + k - (r + -4).
3, 7
Let d = 1497 + -846. List the prime factors of d.
3, 7, 31
Suppose 135 = 3*u - 297. What are the prime factors of u?
2, 3
Suppose 8*t - 3156 = -228. What are the prime factors of t?
2, 3, 61
Suppose -11*o = -15037 - 8294. List the prime factors of o.
3, 7, 101
Suppose 2*n - 2*r + r + 20 = 0, -64 = 4*n + 4*r. List the prime factors of n/(((-108)/(-208))/(-9)).
2, 13
Let g(r) = 150*r - 168. List the prime factors of g(8).
2, 3, 43
Suppose -7*j + 4*j + 231 = 0. Let v = j + -43. What are the prime factors of v?
2, 17
Suppose -925 = -14*x + 1175. What are the prime factors of x?
2, 3, 5
Suppose -5*v + 4*x = -825, 4*x = -v - v + 302. Let f = 228 - v. What are the prime factors of f?
67
Let x(m) = -m**2 + m + 1. Suppose -g + 3 = -0, 2*u + 15 = 5*g. Let y be x(u). Suppose 3*w - 10 = -y. What are the prime factors of w?
3
Let m(b) = b**3 - 3*b**2 - b + 3. Let c be m(3). Suppose 4*k - 650 + 126 = c. List the prime factors of k.
131
Let s = 322 - 88. Let c = s + -96. List the prime factors of c.
2, 3, 23
Let g(s) = -27*s - 96. Let b(u) = -7*u - 24. Let c(n) = 21*b(n) - 5*g(n). List the prime factors of c(-18).
2, 3
Suppose 2*k + 9515 = 5*j + 3*k, 5709 = 3*j - 3*k. List the prime factors of j.
11, 173
Suppose -p + 345 - 10 = 4*n, 0 = 4*n - 2*p - 326. Suppose -n - 66 = -c. What are the prime factors of c?
149
Let t(u) = 6 - 5 + 2*u + 3 + 5. Let i be t(5). Let v = 29 - i. What are the prime factors of v?
2, 5
Let u be 0/2 + 1 - -6. Suppose -u*v + 4*v + 378 = 0. List the prime factors of (-1)/4 + v/24.
5
Suppose -3*r + 8 = -4. Suppose 20 + 0 = r*o. Suppose 5*t + 36 = -0*d + d, 0 = -o*t - 15. List the prime factors of d.
3, 7
Suppose -2*k + d - 1091 = -3*k, 4*k = 2*d + 4376. What are the prime factors of k?
1093
Let n be 2 + 4*2/8. Suppose -3*f = -4*l + 121, n*l - 5*f + 24 = 123. Suppose l = 4*s + r - 0*r, 3*s = 2*r + 32. List the prime factors of s.
2
Suppose -10*u = -7*u - 228. List the prime factors of u.
2, 19
Let n = -1383 + 3172. List the prime factors of n.
1789
Suppose 6*v - v = -185. Suppose -2*r - 3 - 3 = 3*a, r - 3*a - 15 = 0. List the prime factors of r/6 - v/2.
19
Let k(a) = 587*a + 113. List the prime factors of k(3).
2, 937
Let z = -17 - -19. Suppose -6*a = z*l - a - 206, -a = -4*l + 434. What are the prime factors of (l/(-126))/(2/(-70))?
2, 3, 5
Let m = -91 - -55. Let q = m - -36. Let i(f) = 2*f + 62. List the prime factors of i(q).
2, 31
Suppose b - 12 = 6. Let o = b + 43. What are the prime factors of o?
61
Let r(k) = 104*k + 28. Let a be r(5). Suppose -387 - a = -5*l. What are the prime factors of l?
11, 17
Let y(x) = -x**3 - 69*x**2 - 240*x - 96. What are the prime factors of y(-66)?
2, 3, 223
Suppose -2*n + 7*k - 2*k = -120, -20 = 5*k. Let p = 191 - n. List the prime factors of p.
3, 47
Let j = -7 + 15. Suppose 5*d = -j + 78. Suppose 10*a + 100 = d*a. List the prime factors of a.
5
Let m(c) be the second derivative of 5*c**3/2 - 2*c**2 + 2*c. What are the prime factors of m(10)?
2, 73
Suppose -5*j + 164 = -4*q - 606, -5*j = 2*q - 770. What are the prime factors of j?
2, 7, 11
Suppose -7*x + 3*x = -3*b - 19, 4*b + 4*x - 12 = 0. List the prime factors of b/1*(-17)/(34/48).
2, 3
Let t = 142 + -134. Let q(m) = m**3 - 2*m**2 - 14*m + 20. List the prime factors of q(t).
2, 73
Suppose -2*q = 8*d - 5*d - 4429, q = -5*d + 2197. List the prime factors of q.
2, 11, 101
Let q(n) = -n**3 + n**2 + n + 1. Let c(t) = -2*t**3 + 15*t**2 + 6*t + 4. Let a(s) = c(s) - 3*q(s). List the prime factors of a(-10).
3, 19
Let s(p) = 5*p - 7. Let t be -16 + 21 - (-1 - -4). Suppose t + 3 = h. List the prime factors of s(h).
2, 3
Suppose 6*i + 962 = 3110. Let v = -81 + i. List the prime factors of v.
277
Let l(d) = -d + 7. Let j be l(4). Suppose j*q - 5*i = 89, -4*i - 32 = -3*q + 56. Suppose w - 46 = -2*x + 5*w, -x - 3*w = -q. List the prime factors of x.
5
Let c be 130/6 - 2/3. Let m(q) = q - 6. Let u be m(-7). Let d = c + u. What are the prime factors of d?
2
List the prime factors of 40 + 1536 + 3/(-1).
11, 13
Let m(l) = -2 + 8*l**3 - 3*l**3 - 2*l - 2*l**2 + 6*l. Let r be m(4). What are the prime factors of (-14)/(-119) - r/(-34)?
3
Let f be 6 + (-3)/(-2 + 5). Suppose -5*r - 35 = j, -2*j = r - f*r + 112. What are the prime factors of (-1 - (j - -4)) + 0?
3, 5
Let m(z) = 9*z + 35. What are the prime factors of m(-2)?
17
Suppose 64*a = 67*a - 18. List the prime factors of a - -2 - 0/(-2 + 3).
2
Let x(k) = 184*k**2 + 3*k - 2. List the prime factors of x(1).
5, 37
Suppose -15*v + 16*v - 4 = 0. Suppose -4 = -v*c + 136. What are the prime factors of c?
5, 7
Suppose 0 = c + 3*m + 23 - 4, 5*c + 95 = -2*m. Let v = 18 + c. Let n = 7 - v. What are the prime factors of n?
2
Suppose -3*x + 3*r = r - 27, 67 = 5*x + 4*r. Let p(c) = -2*c - 1. Let a be p(-4). Suppose -a - x = -i. List the prime factors of i.
2, 3
Let u(y) = y + 1. Let g be u(-1). Suppose -4*t - 5 + 9 = g. What are the prime factors of (t - -1)/((-2)/(-38))?
2, 19
Suppose -10*f = 42 - 102. List the prime factors of f.
2, 3
Suppose 9*g - 4*g - 3*q - 985 = 0, 4*g - q - 795 = 0. What are the prime factors of g?
2, 5
Let r be (-5 - (-12 + -4))*55. Suppose -3*z + 0*c + 380 = -c, 0 = 5*z + 4*c - r. What are the prime factors of z?
5
Let d = -43 + 47. Suppose -d*v - 174 = 5*k - 617, -2*k - v + 176 = 0. List the prime factors of k.
3, 29
Let p(b) = -b - 2. Let u be p(-7). Suppose 5*n - 25 - 20 = -u*a, -4*n + 6 = -2*a. Suppose 46 = 3*r - j, -4*r + 52 = -3*j + n*j. What are the prime factors of r?
2, 7
Let t be 445/3 - (-2)/(-6). Suppose t = v + 3*g, v + 32 - 187 = 4*g. List the prime factors of v.
151
Let s = 25 + -29. List the prime factors of (-126)/s + (-15)/10.
2, 3, 5
Let u(n) = 16*n + 5. Let q(l) = -1. Let o(t) = 2*q(t) - u(t). Let j(p) = -47*p - 20. Let h(r) = -6*j(r) + 17*o(r). What are the prime factors of h(2)?
3, 7
Let r = 1043 - -1397. What are the prime factors of r?
2, 5, 61
Let n = -7 + 13. Let o be -1 - (-12)/3 - n. What are the prime factors of (-104)/(-6)*o/(-2)?
2, 13
Let x = 319 - 174. What are the prime factors of (-2)/(-2)*3/(15/x)?
29
Suppose 0 = 36*j - 23*j - 6123. What are the prime factors of j?
3, 157
Let l(v) = -8*v**3 + 5*v**2 + 4* | {
"pile_set_name": "DM Mathematics"
} |
. What is the closest to 0 in g, v, -5?
v
Let s = -0.69 - -1.09. Let z = 0.4 - 0.2. Let d be (1/(-3))/(2/(-6)). What is the nearest to d in z, -5, s?
s
Let k = 3049 + -3049.4. Let g be 16/(-10)*1/2. What is the closest to g in k, 4/7, 0.3?
k
Let z = -74 - -73.33. Let c = z + 1.07. What is the closest to -0.1 in -4, c, 0.8?
c
Let k = 0.26217 - -0.03783. Let l = -0.5 - -1. Let i = 0 - l. Which is the closest to 1? (a) -1 (b) i (c) k
c
Let z = -149 - -153. What is the closest to 10 in 3, 0.5, z?
z
Let x = 0 - 0.2. Let d be ((-15)/(-6) + -2)/(34/68). Which is the closest to d? (a) -0.8 (b) -1/7 (c) x
b
Let o = 1.28 + -1.08. Which is the nearest to o? (a) -4 (b) 5 (c) -3 (d) -0.4
d
Let p = 17 + 11. Let y = p - 28. What is the closest to 2 in 2, y, -1/2?
2
Let k = 119 + -117. What is the nearest to k in -20, -3, -0.1?
-0.1
Let u = 6 + 11. Let l = u + -16.9. What is the closest to l in -4, 0, -0.3?
0
Let n = 99 - 91. Suppose 16 = n*r - 24. What is the closest to 1/2 in -3, -4/5, r?
-4/5
Let n = 797.2 + -930. Let z = -133 - n. Let d = 0.2 + -0.3. What is the closest to 1 in 3, z, d?
d
Suppose 46*j - 20 = 36*j. Which is the nearest to 0? (a) -4 (b) 11 (c) j
c
Let g = -32 - -32.23. Let z = g + -0.13. Let r = -0.6 + 1. What is the nearest to 1 in r, -5/3, z?
r
Let k = 89 - 85. Which is the closest to -0.1? (a) k (b) 1/4 (c) -5
b
Let o = 10.5 + -10.7. What is the closest to o in 0, 0.6, -1/5?
-1/5
Let f = 110147/7 + -15735. Suppose 3*w - 4*g = -19, -3*w + 21 = -8*w - 4*g. What is the nearest to 2/3 in 0.2, w, f?
f
Let j(k) = -k + 5. Let m be j(4). Let s be 3 - (-2 - (-76)/16). Which is the closest to -1/3? (a) s (b) m (c) 2
a
Let z = 45 + -50.4. Let n = -5.9 - z. What is the nearest to 0 in -2/21, -2, n?
-2/21
Let c = -1289.5 - -1290. What is the nearest to -32 in 1/5, c, -0.5?
-0.5
Let q = 39/86 + 2/43. What is the nearest to 0 in q, 6, -11?
q
Let c be ((-4)/(-42))/((-15)/35). Let m be -8 + (-1 - -16 - 8). What is the nearest to m in -2, 2, c?
c
Let l(g) = -189*g - 1. Let u be l(-1). Suppose 4*o - 12 = -u. Let z be (-2)/(-3 - o/8). What is the nearest to -1 in z, -2/3, 2?
z
Let b = 0.4 - -1.6. Let n(v) = -7 - 7*v - 16 + 3*v - v. Let g be n(-5). What is the nearest to g in -0.5, 2/3, b?
b
Let n = -9.5 + 14. Let x = -12660 - -12659. What is the nearest to x in -0.4, n, 5/4?
-0.4
Let t = 36.216 + 0.184. Let n = -35 + t. Which is the closest to 0.1? (a) 0 (b) n (c) -3
a
Let r = -80 - -84. Which is the closest to 1? (a) -19 (b) r (c) -1/3
c
Let l = -20 - -18. Let w be (3/(-9))/(l/6). Let z be (-3)/2 - (-1 - 1). What is the nearest to -0.1 in z, w, -4?
z
Let t = 6.22 + -7.22. What is the nearest to -0.2 in t, -5, -17?
t
Let s = -6.75 - -6.65. What is the closest to s in -5, -4, 14?
-4
Let u be 1/(-3 - (-4)/2). Let p = 20 + -24. What is the closest to p in u, 3/8, -1/6?
u
Let v be -5 + (-65)/30*-2. What is the closest to 0.2 in 3, -2/9, v?
-2/9
Let w = -130 + 128. What is the nearest to -0.5 in -2/7, w, -4?
-2/7
Let z = 24 + -49/2. Let w = 1789/7 - 256. Let q be (-2)/2 + (-105)/(-140). Which is the closest to q? (a) -2 (b) z (c) w
c
Let i = -30.1 + 30. Let h = 0.05 - 9.05. Let d = 8 + h. What is the closest to d in -0.4, i, -1/3?
-0.4
Let h = 1816 + -1816.1. What is the closest to -1/20 in -2/3, h, 3?
h
Let a = 120 + -119. Let h = 9.7 - -3.3. Let y = h - 8. What is the nearest to 0 in a, y, 0?
0
Suppose -33 = 6*m - m - 3*t, 0 = 5*m - t + 31. Which is the nearest to -0.2? (a) m (b) 0.3 (c) 1
b
Suppose 75 = 10*c + 175. What is the nearest to 1 in -1/4, c, 0.4?
0.4
Let z = 7937/22 + -721/2. Which is the closest to z? (a) 0 (b) -4 (c) 1/3 (d) 1/7
c
Let a = 17.82 + -10.82. What is the closest to a in 0.1, -3, 0.9?
0.9
Suppose 2*z - 32 = 2*j + 32, 0 = -2*j + z - 61. Let f = j - -29. What is the nearest to -2 in 2, -3, f?
-3
Let u = -162.3 - -184. Let o = u + -3.7. Let i = o - 20. Which is the closest to i? (a) -5 (b) 5 (c) -2
c
Let l(a) = 8*a - 6. Let k be l(0). Let i(w) = 2*w**2 + 2*w + 1. Let b be i(-1). Let r be 4/((-4 + b)*1). What is the closest to -0.2 in r, k, -2/9?
-2/9
Let t = -8 + 8. Let x = t - 0.07. Let n = x + 5.07. What is the closest to 4 in -0.1, 2/7, n?
n
Let d = 1927.7 - 1925. What is the nearest to d in 1/4, 0.1, 0.2?
1/4
Let l(h) = -h**3 - 10*h**2 + h + 1. Let c be l(-10). Let x = 124.1 + -124. What is the closest to -1/3 in x, c, -1?
x
Let s = 0.97 + 0.03. Let f(v) = -v**3 + 9*v**2 - 2*v + 18. Let z be f(9). Let o = 3/46 + -199/230. Which is the closest to -0.3? (a) o (b) s (c) z
c
Let i = -8 - -7.9. Let h be 4/(-18) + (-35)/(-90). What is the nearest to 0.1 in h, i, 2?
h
Let q = 55/188 + -2/47. Let o = 67 - 66. Which is the closest to q? (a) o (b) 2/7 (c) -2/9
b
Let p = 7.7 + 24.3. Let r = 34 - p. Which is the nearest to r? (a) -0.5 (b) 4 (c) 0.2
c
Let i = -75.5 + 75.6. Which is the nearest to i? (a) 10 (b) -2/3 (c) -4 (d) 2
b
Let p be (-4)/3*13/(-52)*-2. Which is the nearest to 5? (a) 2/15 (b) p (c) 5
c
Let o = 4.1 + -3.1. Let d = 0.58 - 0.08. Which is the nearest to 1? (a) -1/2 (b) o (c) d
b
Let d = -0.0336 - -5.0336. What is the nearest to 0 in 2, 12, d?
2
Let w be 9*(-1 + -1 - 56/(-24)). Let k be (1 - 3)*1 + w. Let t = 0.1 + 0. Which is the nearest to k? (a) 2 (b) t (c) -0.8
b
Let k = 14.55 + -15.55. Which is the nearest to k? (a) 0.39 (b) 2 (c) -5
a
Let r be (-2)/(-3) - (-7)/3. Let o be -1 + (r - (4 - 0)). Which is the nearest to -1? (a) 2/7 (b) 2/5 (c) o
c
Let p = 46 - 90. Let z = p - -134/3. Let q = -17 - -20. Which is the nearest to z? (a) q (b) 2/3 (c) -2/7
b
Let r = 13 + -48. Let u = 37 + r. What is the nearest to 0.1 in -1, u, 0.1?
0.1
Let a = -0.46 - -2.46. What is the nearest to -1 in 11, 3/8, a?
3/8
Let b = -3.561 + -0.039. Let k = b - -4.6. What is the closest to k in -3/2, 3/5, -9/5?
3/5
Let t = -5 + 6. Let x = -132 - -128. Which is the closest to x? (a) -2 (b) 0.4 (c) t
a
Let d = -3.1 + 3. Let m be (7/((-189)/(-18)))/((12/9)/1). Which is the closest to 0? (a) -1/7 (b) m (c) d
c
Let j = -23.9 + 26. Let c = j + -4.1. Let x = 4 + -7. What is the nearest to 0.4 in 1, c, x?
1
Let t = -254 - -256.11. Let n = t - 2. Let w = -0.19 - n. What is the nearest to -1 in 0.5, -1, w?
-1
Let t = 4 - 7. Let u = t + 3.5. Suppose -290 + 280 = -5*y. Which is the closest to 1? (a) y (b) u (c) 5
b
Let l = 187 + -187.2. What is the nearest to 2/17 in 5, l, 3?
l
Let k = -137/2 - -70. Let u(p) = 2*p**3 + p**2 - p. Suppose -17 = 3*r - 5*n, 0*n + 15 = 3*r + 3*n. Let v be u(r). What is the nearest to v in 1, k, 1/3?
k
Let x = 159/4 - 40. Let c be (-1 - -2) + 1 - 2. Let p be (-2)/(-2)*(3 + c). What is the nearest to x in p, 5, 0.3?
0.3
Suppose 3*u = -4*v - 35, 9*u = 4*u + 3*v - 10. Which is the nearest to 5? (a) u (b) 1/8 (c) -1
b
Let m = 180.8 - 181. Which is the closest to 0? (a) 3 (b) m (c) 12
b
Let j = -71 - -67. Let g = -23.5 + 23. Which is the closest to -1? (a) j (b) g (c) -2
b
Let q = 122.2 + -122.3. Which is the nearest to q? (a) 12 (b) -0.5 (c) -4
b
Let a = 169.8 + -169.7. Let o = 0.5 - 2.5. Let n = o + 2.2. What is the nearest to a in 2/11, 0.1, n?
0.1
Let p = 2 - 12. Let f = p + 29. Let g = f + -24. What is the closest to 0 in -4, -2/13, g?
-2/13
Let y = -5/43 + -33/86. Let m be (-2)/7 - (-18)/14. Let k = 5 + -10. Which is the nearest to m? (a) y (b) -2 (c) k
a
Let i(l) = -l**3 + 5*l**2 - 18*l + 36. Let r be i(3). Which is the closest to 0.1? (a) 9/7 (b) r (c) 0.03 (d) -1/5
c
Let v be (0 - -2) + (-48)/(-4). Let q = -1 - -12. Let m be v - q - 23/7. What is the nearest to 1 in m, -4, 4?
m
Let d = 0.2 + 0. Let k = -1135 - -1136. What is the nearest to k in -5, d, -2/5?
d
Suppose -3*r - 4*p + 13 = 0, 16 = -4*r + 5*p - 2*p. Let z be r/(6/(-8) + 1). Let k = -111.9 - -112.3. What is the closest to -1 in z, k, -0.2?
-0.2
Let b = 0.013 - 3.013. Let q be (-5)/((-100)/(-28)) - -1. What is the closest to 0 in q, b, -1?
q
Let d = -179/682 - -5/62. Let v = -211 - -1901/9. Let l = -7.6 - -8. Which is the closest to v? (a) d (b) l (c) 4
b
Suppose p - 4*l = -18 - 15, 0 = -2*p - 5*l - 79. Let g = -37 - p. Let m = 1 + -1. What is the closest to m in g, -0.2, 1?
g
Let z = 5.128 - 0.128. Which is the closest to 0.1? (a) 19 (b) 4 (c) z
b
Let q = -167 - -167.08. | {
"pile_set_name": "DM Mathematics"
} |
149*j**2 + 278
What is the y'th term of -34276, -68554, -102832, -137110?
-34278*y + 2
What is the b'th term of 518, 1732, 3762, 6614, 10294?
b**3 + 402*b**2 + b + 114
What is the n'th term of -24056, -48110, -72164?
-24054*n - 2
What is the x'th term of -14324, -28634, -42962, -57314, -71696, -86114, -100574, -115082?
-x**3 - 3*x**2 - 14294*x - 26
What is the d'th term of 4813, 4836, 4875, 4930?
8*d**2 - d + 4806
What is the r'th term of 30237, 30218, 30193, 30162, 30125?
-3*r**2 - 10*r + 30250
What is the v'th term of -738, -1423, -2106, -2787, -3466?
v**2 - 688*v - 51
What is the q'th term of 86, -15, -274, -691, -1266, -1999, -2890?
-79*q**2 + 136*q + 29
What is the g'th term of 1852487, 1852485, 1852483, 1852481, 1852479?
-2*g + 1852489
What is the n'th term of -345150, -690297, -1035444, -1380591, -1725738, -2070885?
-345147*n - 3
What is the r'th term of -1807, -3631, -5475, -7351, -9271?
-2*r**3 + 2*r**2 - 1816*r + 9
What is the l'th term of -2753, -5555, -8363, -11177?
-3*l**2 - 2793*l + 43
What is the o'th term of -670, -1245, -1816, -2383?
2*o**2 - 581*o - 91
What is the o'th term of 532, 1140, 1748, 2356, 2964?
608*o - 76
What is the q'th term of -1443, -2906, -4369, -5832?
-1463*q + 20
What is the h'th term of 1233, 4915, 11047, 19629?
1225*h**2 + 7*h + 1
What is the y'th term of 2795, 5530, 8265?
2735*y + 60
What is the a'th term of 1271, 1276, 1281, 1286?
5*a + 1266
What is the a'th term of -16618, -33279, -50022, -66889, -83922?
-7*a**3 + a**2 - 16615*a + 3
What is the b'th term of -2915, -11714, -26405, -46988, -73463, -105830?
-2946*b**2 + 39*b - 8
What is the g'th term of -1913, -3830, -5749, -7670, -9593?
-g**2 - 1914*g + 2
What is the r'th term of 4728, 4731, 4734, 4737?
3*r + 4725
What is the u'th term of -8473, -34016, -76587, -136186, -212813?
-8514*u**2 - u + 42
What is the a'th term of 88, 329, 708, 1207, 1808, 2493, 3244, 4043?
-3*a**3 + 87*a**2 + a + 3
What is the h'th term of 5, -93, -293, -595, -999, -1505, -2113?
-51*h**2 + 55*h + 1
What is the c'th term of 2378164, 2378166, 2378168, 2378170, 2378172?
2*c + 2378162
What is the a'th term of -296, -323, -350, -377?
-27*a - 269
What is the v'th term of 21796, 43559, 65322, 87085?
21763*v + 33
What is the l'th term of 2923, 2926, 2929, 2932, 2935?
3*l + 2920
What is the l'th term of -312, -626, -944, -1278, -1640, -2042?
-2*l**3 + 10*l**2 - 330*l + 10
What is the z'th term of -14700, -14774, -14848, -14922?
-74*z - 14626
What is the m'th term of -1131626, -2263256, -3394884, -4526510?
m**2 - 1131633*m + 6
What is the s'th term of 144, 224, 360, 552, 800?
28*s**2 - 4*s + 120
What is the u'th term of 1624, 1763, 1980, 2263, 2600, 2979, 3388?
-2*u**3 + 51*u**2 + 1575
What is the p'th term of 584, 1097, 1610?
513*p + 71
What is the h'th term of -498888, -498892, -498896, -498900?
-4*h - 498884
What is the z'th term of -12909973, -12909976, -12909981, -12909988, -12909997, -12910008?
-z**2 - 12909972
What is the f'th term of 65077, 65085, 65099, 65119, 65145?
3*f**2 - f + 65075
What is the m'th term of -309, -522, -657, -714, -693?
39*m**2 - 330*m - 18
What is the x'th term of 396, 387, 378?
-9*x + 405
What is the p'th term of -7592, -60735, -204992, -485921, -949080, -1640027?
-7593*p**3 + p**2 + 5*p - 5
What is the p'th term of -18817, -18819, -18809, -18781, -18729, -18647, -18529, -18369?
p**3 - 9*p - 18809
What is the x'th term of -5033, -5000, -4967, -4934, -4901, -4868?
33*x - 5066
What is the p'th term of -23142, -23144, -23148, -23154, -23162, -23172?
-p**2 + p - 23142
What is the f'th term of -126680, -126684, -126688, -126692, -126696?
-4*f - 126676
What is the b'th term of 7, 6, 11, 28, 63, 122, 211?
b**3 - 3*b**2 + b + 8
What is the a'th term of 100993, 100995, 100997, 100999, 101001?
2*a + 100991
What is the w'th term of -14, -35, -62, -95, -134, -179?
-3*w**2 - 12*w + 1
What is the j'th term of 2064731, 2064730, 2064729, 2064728, 2064727, 2064726?
-j + 2064732
What is the s'th term of -98, -432, -994, -1784, -2802, -4048, -5522?
-114*s**2 + 8*s + 8
What is the n'th term of -116, -94, -72, -50?
22*n - 138
What is the a'th term of -19008, -38020, -57032, -76044?
-19012*a + 4
What is the b'th term of 2158, 8669, 19516, 34693, 54194, 78013?
-b**3 + 2174*b**2 - 4*b - 11
What is the q'th term of -7, -68, -179, -340?
-25*q**2 + 14*q + 4
What is the n'th term of -472, -972, -1472, -1972, -2472?
-500*n + 28
What is the i'th term of -49609, -49606, -49601, -49594?
i**2 - 49610
What is the s'th term of -217, -706, -1457, -2476, -3769, -5342?
-s**3 - 125*s**2 - 107*s + 16
What is the l'th term of -146369, -146365, -146361?
4*l - 146373
What is the d'th term of -2530, -5065, -7600?
-2535*d + 5
What is the k'th term of -49142, -98266, -147390?
-49124*k - 18
What is the l'th term of -6937, -6854, -6771?
83*l - 7020
What is the d'th term of -1510454, -1510458, -1510462, -1510466, -1510470?
-4*d - 1510450
What is the o'th term of -6155, -12341, -18527, -24713?
-6186*o + 31
What is the w'th term of 141454, 141436, 141406, 141358, 141286, 141184, 141046, 140866?
-w**3 - 11*w + 141466
What is the z'th term of 40802, 40756, 40708, 40658?
-z**2 - 43*z + 40846
What is the h'th term of -172, -609, -1336, -2353, -3660, -5257?
-145*h**2 - 2*h - 25
What is the d'th term of 841, 1008, 1279, 1654, 2133, 2716?
52*d**2 + 11*d + 778
What is the g'th term of 2233, 4472, 6713, 8956?
g**2 + 2236*g - 4
What is the f'th term of 1362, 1369, 1376, 1383, 1390?
7*f + 1355
What is the x'th term of -10, -1, 26, 83, 182, 335, 554?
2*x**3 - 3*x**2 + 4*x - 13
What is the w'th term of -11, 29, 171, 463, 953, 1689, 2719, 4091?
8*w**3 + 3*w**2 - 25*w + 3
What is the t'th term of 93, 107, 143, 213, 329, 503, 747?
2*t**3 - t**2 + 3*t + 89
What is the z'th term of 16931, 33856, 50777, 67694, 84607, 101516?
-2*z**2 + 16931*z + 2
What is the d'th term of -149040, -149071, -149102, -149133, -149164?
-31*d - 149009
What is the r'th term of 9324, 18658, 27992, 37326, 46660, 55994?
9334*r - 10
What is the t'th term of -552, -1117, -1692, -2277, -2872?
-5*t**2 - 550*t + 3
What is the s'th term of -2677, -10722, -24137, -42922, -67077, -96602, -131497?
-2685*s**2 + 10*s - 2
What is the x'th term of -6671, -6663, -6655?
8*x - 6679
What is the d'th term of -1560, -1506, -1434, -1344, -1236, -1110, -966?
9*d**2 + 27*d - 1596
What is the d'th term of -2326, -2187, -2048, -1909?
139*d - 2465
What is the q'th term of -8525, -17039, -25569, -34115?
-8*q**2 - 8490*q - 27
What is the a'th term of -55, -109, -167, -229, -295, -365, -439?
-2*a**2 - 48*a - 5
What is the i'th term of 254, 230, 182, 104, -10, -166, -370, -628?
-i**3 - 6*i**2 + i + 260
What is the g'th term of -630, -4947, -16640, -39393, -76890?
-614*g**3 - 4*g**2 - 7*g - 5
What is the j'th term of 7510188, 7510187, 7510186?
-j + 7510189
What is the d'th term of 401298, 802591, 1203886, 1605183, 2006482, 2407783, 2809086?
d**2 + 401290*d + 7
What is the a'th term of 63477, 507756, 1713651, 4061970, 7933521, 13709112?
63468*a**3 + 3*a + 6
What is the i'th term of 519, 1908, 4169, 7302, 11307?
436*i**2 + 81*i + 2
What is the j'th term of -72171, -72173, -72175, -72177, -72179, -72181?
-2*j - 72169
What is the z'th term of -66033, -132065, -198097, -264129, -330161?
-66032*z - 1
What is the k'th term of -23, 6, 79, 196?
22*k**2 - 37*k - 8
What is the n'th term of 787564, 787565, 787552, 787519, 787460?
-n**3 - n**2 + 11*n + 787555
What is the v'th term of -574, -664, -766, -886, -1030?
-v**3 - 83*v - 490
What is the x'th term of 361, 2586, 8609, 20326, 39633, 68426, 108601, 162054?
316*x**3 + 3*x**2 + 4*x + 38
What is the j'th term of 39, 78, 167, 324, 567, 914, 1383, 1992?
3*j**3 + 7*j**2 - 3*j + 32
What is the o'th term of 42, -322, -930, -1782, -2878, -4218?
-122*o**2 + 2*o + 162
What is the w'th term of 2900, 3165, 3598, 4193, 4944, 5845?
-w**3 + 90*w**2 + 2*w + 2809
What is the o'th term of -32256, -32241, -32224, -32205, -32184, -32161, -32136?
o**2 + 12*o - 32269
What is the o'th term of 303, 2287, 7629, 18009, 35107?
280*o**3 - o**2 + 27*o - 3
What is the o'th term of 10614, 21224, 31834?
10610*o + 4
What is the w'th term of -469, -921, -1353, -1765?
10*w**2 - 482*w + 3
What is the a'th term of 15427, 15440, 15455, 15472, 15491, 15512, 15535?
a**2 + 10* | {
"pile_set_name": "DM Mathematics"
} |
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