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(-8/13)
Simplify b**(-22/5)*b**(-2/71)/b*(b*b/(b*b/((b/(b*(((b**27*b)/b)/b*b)/b))/b)*b)*b*b)/(b/(b/b**14*b*b)) assuming b is positive.
b**(-15417/355)
Simplify (s**(-9)/(s/(s**(2/17)/s*s)))/(s*s*s**(-1/16)/s*s)**(2/15) assuming s is positive.
s**(-20687/2040)
Simplify (((v**(-8)*v)/v)/(v*v**(-3/5)/v))/(v**13*v/((v/(v/v**(-6)))/v)) assuming v is positive.
v**(-142/5)
Simplify (k**(2/55)/(k*k*k*k**20*k))/(k**(1/5)/k*k*k*k*k/k**(-16)) assuming k is positive.
k**(-2374/55)
Simplify (q/q**(-32)*q**27)**(-43) assuming q is positive.
q**(-2580)
Simplify (q*q**(-3)/q*q)**(-12)/(q/q**12)**(-48) assuming q is positive.
q**(-504)
Simplify (q**16*q**(-1/19))/((q**(3/4)/q*q)/q**17) assuming q is positive.
q**(2447/76)
Simplify (b**(-14))**(-1/74)*b**18/(b**(2/11)*b) assuming b is positive.
b**(6922/407)
Simplify (d/(d*d/(d*(d*d**10)/d)*d)*d**(1/2))/(d**(-8)*d**13*d*d) assuming d is positive.
d**(5/2)
Simplify b*(b/(b/b**10))/b*b**1*(b/(b/(b/(b*(b/b**(-6))/b)*b*b*b)))/b*b/(b*b/(b**1*b))*b assuming b is positive.
b**9
Simplify j**(1/22)*j*j**(-3/13)*(j**(-2))**(-2/93) assuming j is positive.
j**(22813/26598)
Simplify ((s/(s**(-3/10)*s))**24)**(1/4) assuming s is positive.
s**(9/5)
Simplify (s**(-11)/s*s/(s**6*s))/((s/s**(-2))/s)**6 assuming s is positive.
s**(-30)
Simplify (m*m**4*(m/m**(2/13))/m)/(m**(-1/12)/m*m**(-14)) assuming m is positive.
m**(3109/156)
Simplify ((t*t*t**(-7/3))/(t**(-4/19)*t))**(-23) assuming t is positive.
t**(1472/57)
Simplify ((c/(c*c**(5/2)/c*c)*c**4)/(((c**11/c)/c)/c**(6/11)))**39 assuming c is positive.
c**(-5967/22)
Simplify ((x*x/(x/x**(-19))*x**8)**(-19))**(-46) assuming x is positive.
x**(-8740)
Simplify ((a*a**(-1)*a)**(-5/11)*(a/((a*((a**1/a)/a)/a)/a))**(10/11))**18 assuming a is positive.
a**(450/11)
Simplify ((h/(h/(h*h**(-12)*h)))/h**7*((h/(h*h*h**(-3)))/h)**(-8/15))**(-10) assuming h is positive.
h**(526/3)
Simplify ((((k**1*k)/k)/k)/k)**25*(k**(11/3)*k)/(k/k**22) assuming k is positive.
k**(2/3)
Simplify ((n*n*(n/(n*n**(3/5)))/n)/n**1)/(n*n**7*n**(-2/11)*n) assuming n is positive.
n**(-518/55)
Simplify ((d/(d**(-10/9)*d*d*d))/d**6)/((d/(d/(d/(d/d**(-2/11)*d)*d*d)*d*d)*d)/d**2) assuming d is positive.
d**(-466/99)
Simplify (z/((z**15/z)/z))/z*z*z**(-11)*z*(z*z**(2/15)*z)**42 assuming z is positive.
z**(338/5)
Simplify (o**1*o**(-25))/(o/(o/(o**14/o))*o*o**(-19/3)) assuming o is positive.
o**(-95/3)
Simplify (z**(-1/20)/z**(-21))/((z/z**(-3))/z*(z*z**(-3/4))/z) assuming z is positive.
z**(187/10)
Simplify ((o**(1/3)*o*o**2)**6)**(-45) assuming o is positive.
o**(-900)
Simplify (w**2/w**(-3/7)*w**(3/5)*w*w**(-1/4))**(-25) assuming w is positive.
w**(-2645/28)
Simplify (x*x**(2/27)*x**6)/((x*x**(-4/9))/(x**4/x)) assuming x is positive.
x**(257/27)
Simplify x**(-9/7)/x*x*x/(x**(-12)/x)*((x*(x*x**(5/8)*x)/x)/x)/x*x**(-9/5) assuming x is positive.
x**(3231/280)
Simplify (s*s**5)**(1/66)/((s/s**(-23))/s**17) assuming s is positive.
s**(-76/11)
Simplify (s**0)**(-1/5)/((s**(-13)/s)/s**(19/5)) assuming s is positive.
s**(89/5)
Simplify (m*(m*m*m/m**(-2/3))/m*m**(-20)*m)/((m/(m*m**(-10)/m*m))/m**(-5)) assuming m is positive.
m**(-91/3)
Simplify (g**1/g*g*g**(1/7))/(g**11*g*(g/(g/((g/g**(-6/5))/g)))/g*g) assuming g is positive.
g**(-422/35)
Simplify (q*q**8)**(-44)/(q/(q**(-7)*q))**(7/3) assuming q is positive.
q**(-1237/3)
Simplify (x*x/(x/(x**(8/7)*x)))/((x/(x*x/x**13))/x)*(x**(-3/5))**(1/54) assuming x is positive.
x**(-4957/630)
Simplify ((l/(l/l**8))**(-1/5))**(-6/7) assuming l is positive.
l**(48/35)
Simplify (l/(l**(-3/7)/l))**(10/7)/((l*l**(-9)*l)/l**10) assuming l is positive.
l**(1003/49)
Simplify (((b/b**(-4/7))**26)**(-46))**(-3/13) assuming b is positive.
b**(3036/7)
Simplify (l*l*l*l/(l**(-4/7)*l))**(7/5)/(l**(-10)/(l*l*l**(-12)*l)) assuming l is positive.
l**6
Simplify (((l**(-15)*l)/l*l)/l)**(1/4)*((l**(-3/8)/l)/l)/(l**(2/13)/l) assuming l is positive.
l**(-549/104)
Simplify g**11/(g*g**(-9))*(g**(2/5))**(2/9) assuming g is positive.
g**(859/45)
Simplify (l*l/((l*l/l**(-3))/l))**(-5/11)/(l*l**(7/6)*l*l*l**(-1/11)) assuming l is positive.
l**(-19/6)
Simplify (f/f**(-12))**(-8/5)/(f*f**(-8/5)*f*f**(-6)) assuming f is positive.
f**(-76/5)
Simplify (z**(-12)/(z/z**(-17)))/(z**(-6)/z)**(3/8) assuming z is positive.
z**(-219/8)
Simplify (r**(-1/5)*r)**(-44)/(r*r**(-3/5))**(-2/97) assuming r is positive.
r**(-17068/485)
Simplify (b**(-4/7)*b**(-2/19)/b*b)/(b**(2/3)/(b*b**(26/9))) assuming b is positive.
b**(3047/1197)
Simplify v/v**(10/7)*v**6*(v**(-5/3)*v)**31 assuming v is positive.
v**(-317/21)
Simplify x*x**(2/11)/x*x*x**(-28)*((x/((x*x**(9/5)*x)/x))/x*x)**(-1/2) assuming x is positive.
x**(-2851/110)
Simplify (d*d**(2/5)*d**(4/7)*d)/(d/(d**(-3)/d))**(-13) assuming d is positive.
d**(2379/35)
Simplify s**2*s*(s/s**(-14))/s*s*s**(-1/6)*s**(-1/13) assuming s is positive.
s**(1385/78)
Simplify (a**(1/9)*a**(1/2)*a**(4/7)/(a**(-3/4)*a))**(-1) assuming a is positive.
a**(-235/252)
Simplify (b*b/(b*b**(1/8)))/(b/b**(-1))*(b**(-2))**(2/17) assuming b is positive.
b**(-185/136)
Simplify (i**3/i**(-3/8))/(i**(-13)/i**(-3/5)) assuming i is positive.
i**(631/40)
Simplify (s*((s**5/s)/s)/s*s**(-10/9))**(1/4) assuming s is positive.
s**(17/36)
Simplify ((t*t**(-1/30))/(t/(t*(t/(t**20/t))/t)))**(5/12) assuming t is positive.
t**(-541/72)
Simplify (x**(2/25)/x)**(-43)/((x/(x/(x/x**(-19))))/(x*x**(3/19))) assuming x is positive.
x**(9841/475)
Simplify z/((z**9/z)/z*z)*z*(z/z**32)/z*z**22*(z**(-2/19)*z)/z assuming z is positive.
z**(-306/19)
Simplify (d*(d*d**(-6/5))/d)/(d/(d**(-8)*d)*d)*(((d/(d**12/d))/d)/d)/(d*d/((d**(-6/13)/d*d)/d)) assuming d is positive.
d**(-1603/65)
Simplify (f/f**(1/5)*f)**(-2/55)/(f/f**(-7/2)*f)**27 assuming f is positive.
f**(-81711/550)
Simplify (((y/(y*y**15*y*y)*y)/y)/(y*y/(y*y**24)))/(y**(1/22)/y**(1/27)) assuming y is positive.
y**(3559/594)
Simplify (r**2/(r**(-3/5)/r))/((r/(r*r**(2/9))*r)/r**10) assuming r is positive.
r**(577/45)
Simplify (k**(-25)/k)/k**(-22/9)*(k/(k**(1/7)*k))/k**(2/65) assuming k is positive.
k**(-97171/4095)
Simplify ((o*(o*o/o**(1/4))/o*o*o**(-7))/(o**(-7)/o**(-4/3)))**(-34) assuming o is positive.
o**(-289/6)
Simplify ((y*y*y**7)/y**(-22))**(3/5) assuming y is positive.
y**(93/5)
Simplify (m/(m/m**(2/3)))**(-27)/((m/(m*m**1/m)*m*m)/m)**3 assuming m is positive.
m**(-21)
Simplify (z**9/(z/z**(-1/14)))/(z**27/z**(1/6)) assuming z is positive.
z**(-397/21)
Simplify ((j**0*j)**(-48)*(j*j**(-1))**(-2))**(-1/16) assuming j is positive.
j**3
Simplify r**(1/11)*r**(2/49)*r*(r**(-7/5))**(-1) assuming r is positive.
r**(6823/2695)
Simplify (v*v*v**(-1/6)/v)/v**0*(v**0)**(25/3) assuming v is positive.
v**(5/6)
Simplify (l**0/l)/(l**(1/4)/l*l)*l**(-19)*l**(-3/13)*l assuming l is positive.
l**(-1013/52)
Simplify ((o*o/o**4)/o*o**(-2)*(o/o**(-1))**22)**7 assuming o is positive.
o**273
Simplify o**28*o*o*(o*o**(1/10)*o)/o*o**(-3/7)/(o/(o*o**(-31))) assuming o is positive.
o**(-23/70)
Simplify (b**(-7))**(-1/29)/(b**10/b**(-1/20)) assuming b is positive.
b**(-5689/580)
Simplify ((g*g**1)**(-23)*(g/((g*g*g**(-1/2))/g))/g**4)**(7/4) assuming g is positive.
g**(-693/8)
Simplify (n/(n/(n/(n/(n*n**(1/6)))))*n)/n*n/(n/(n**(1/5)*n))*n**(-2/23)/(n/(n**(-2/9)/n)) assuming n is positive.
n**(119/2070)
Simplify (o**(-2/11)*o*(o/o**(1/4))/o)/(o**(-11)/(o/(o/o**(1/3)))) assuming o is positive.
o**(1571/132)
Simplify (z**(2/39)*(z/((((z**(-39)/z)/z)/z)/z*z)*z)/z)**(1/55) assuming z is positive.
z**(1679/2145)
Simplify (b/b**13)/b**(-2/57)*(b/(b*b**(-2/33)))**18 assuming b is positive.
b**(-6818/627)
Simplify y**(-10)/((y**0*y*y)/y)*y**(-8)*y/y**(3/8) assuming y is positive.
y**(-147/8)
Simplify (m**25*m*m/(m/(m**(1/25)*m))*m)/(m**(-12))**(-2/17) assuming m is positive.
m**(11317/425)
Simplify (p**(-10/11)*p**(-4/11)/p*p)**(1/2) assuming p is positive.
p**(-7/11)
Simplify (((d/(d/d**(-22)))/d)/d**(-3/10))/(d*d**(-27)/d*d*d**(-11)/d) assuming d is positive.
d**(153/10)
Simplify d**2*d*(d/((d/d**(-2/13))/d)*d)/d*d*d*d*d*d/(d**(-12)/d)*d/d**(-7)*d assuming d is positive.
d**(401/13)
Simplify (c*c**(1/5)*c*c)**18/(c**(1/12)/((c*c/c**1*c)/c*c)) assuming c is positive.
c**(3571/60)
Simplify (d**3)**(-3)/(d**(1/7)/(d*d/(((d**6/d*d)/d)/d*d)*d)) assuming d is positive.
d**(-78/7)
Simplify (b**(-2)/((b**(1/6)/b)/ | {
"pile_set_name": "DM Mathematics"
} |
et v(l) = l**3 - 29*l**2 - 28*l - 95. Calculate v(30).
-35
Let a(c) = -41*c + 478. What is a(0)?
478
Let z(u) = 2*u**3 + 22*u**2 + 9*u - 9. What is z(-9)?
234
Let w(m) = -108*m - 129. Determine w(-5).
411
Let v(t) = -9*t**2 + 215*t - 89. Determine v(23).
95
Let v(g) = 51*g**2 - 1933*g - 189. Calculate v(38).
1
Let d(o) = -18*o + 564. Determine d(30).
24
Let x(y) = y**3 + 10*y**2 + 12*y + 62. Determine x(-9).
35
Let p(s) = -769*s - 243777. Calculate p(-317).
-4
Let o(z) = 5*z**3 + 6*z**2 - 12*z + 17. Calculate o(4).
385
Let k(b) = -3*b**2 - 7098*b + 35568. Determine k(5).
3
Let x(a) = 404*a**3 + a**2 - 3*a + 1. Calculate x(1).
403
Let x(a) = -2*a**3 - 32*a**2 - 36*a - 79. What is x(-15)?
11
Let l(y) = -3*y**2 - 24*y + 35. Determine l(-11).
-64
Let t(a) = -6*a**3 + 2*a + 23. Calculate t(-3).
179
Let i(r) = r**3 + 4*r**2 + 21*r + 39. Determine i(-4).
-45
Let a(o) = o**3 + 13*o**2 + 36*o + 3. Calculate a(-4).
3
Let d(f) = -f**2 + 7*f - 31. Calculate d(4).
-19
Let p(o) = o**3 - 12*o**2 - 35*o - 118. Calculate p(15).
32
Let c(f) = -9*f - 291. What is c(-39)?
60
Let d(p) = -15*p + 122. Give d(9).
-13
Let b(i) = -i**3 + 24*i**2 - 183*i + 439. Determine b(10).
9
Let s(x) = 22*x**2 + 5*x + 9. What is s(-3)?
192
Let d(v) = -2*v**2 - 28*v + 82. Give d(3).
-20
Let l(f) = f**2 + 26*f - 664. Give l(17).
67
Let m(b) = 56*b - 162. Calculate m(2).
-50
Let i(z) = z**3 + 33*z**2 + z + 42. Give i(-33).
9
Let d(o) = 916*o + 6415. Give d(-7).
3
Let n(f) = -2*f**2 + 39*f - 165. Give n(5).
-20
Let l(o) = -3*o**2 - 77*o - 31. Determine l(-25).
19
Let c(v) = 4*v + 44. What is c(-13)?
-8
Let v(w) = w**2 - 38*w + 112. Determine v(47).
535
Let x(y) = -21*y + 851. What is x(31)?
200
Let r(l) = 2*l**2 + 64*l - 71. Give r(-34).
65
Let y(w) = 34*w**2 - 251*w + 126. Calculate y(7).
35
Let i(g) = -g**3 - 19*g**2 - 18*g - 69. Determine i(-18).
-69
Let x(p) = 14*p + 207. Give x(-24).
-129
Let j(n) = -3*n**3 - 45*n**2 - n + 45. Give j(-14).
-529
Let x(n) = -32*n + 3028. Give x(95).
-12
Let x(t) = 2*t**3 - 4*t**2 - 19*t - 41. Calculate x(5).
14
Let c(q) = -2*q**2 + 89*q - 434. Give c(5).
-39
Let w(v) = -229*v**2 - 1144*v + 9. Calculate w(-5).
4
Let z(t) = -t**3 - 10*t**2 + 83*t + 718. What is z(-12)?
10
Let y(s) = -3*s**2 + 97*s + 160. Give y(31).
284
Let a(i) = 131*i + 175. Determine a(0).
175
Let t(m) = -m**3 - 29*m**2 + 42*m - 60. Give t(-31).
560
Let q(t) = -634*t + 4439. Give q(7).
1
Let y(o) = 5*o**3 - 85*o**2 + 8*o - 127. What is y(17)?
9
Let b(m) = 3*m**2 - 1544*m + 19564. What is b(13)?
-1
Let y(u) = u**3 + 49*u**2 - 3*u - 4. Determine y(-49).
143
Let d(w) = -w**2 - 338*w + 3063. What is d(9)?
-60
Let f(h) = -147*h + 4724. Calculate f(32).
20
Let t(a) = a**3 + 30*a**2 - 6*a - 130. Determine t(-30).
50
Let n(x) = -69*x + 4067. Calculate n(59).
-4
Let y(l) = -91*l - 3942. Calculate y(-43).
-29
Let n(v) = 454*v - 1360. Determine n(3).
2
Let d(u) = -5*u**2 + 88*u - 468. Calculate d(19).
-601
Let k(j) = 42*j + 1244. Determine k(-30).
-16
Let s(p) = -p**2 + 96*p - 656. Calculate s(8).
48
Let r(d) = 5*d**3 + 281*d**2 - 199*d + 1645. What is r(-57)?
-8
Let y(g) = 2*g**2 - 407*g + 2366. Determine y(6).
-4
Let n(y) = 2*y**2 - 24*y + 8. What is n(-7)?
274
Let s(k) = -136*k + 1471. Calculate s(11).
-25
Let q(o) = -3*o**3 - 16*o**2 + 5*o + 28. Give q(-6).
70
Let r(n) = -3*n**2 + 367*n - 1185. Determine r(119).
5
Let g(r) = 3*r**3 - 20*r**2 - 31*r + 172. Give g(7).
4
Let c(p) = -577*p**2 + 42*p - 42. Determine c(1).
-577
Let b(p) = 13157*p - 144727. Determine b(11).
0
Let f(w) = 8*w - 174. Determine f(26).
34
Let u(r) = 6*r**2 - 108*r + 84. Calculate u(17).
-18
Let c(l) = l**3 + 10*l**2 - 59*l - 577. Calculate c(-10).
13
Let g(u) = -32*u - 744. Determine g(-24).
24
Let s(c) = -c**3 - 103*c**2 - 2343*c + 200. Give s(-69).
-7
Let h(u) = -u**2 + 59*u - 390. Calculate h(52).
-26
Let u(x) = 9*x**2 + 349*x - 75. What is u(-39)?
3
Let l(v) = -2*v**3 - 37*v**2 + 9*v - 5. Give l(-19).
185
Let x(f) = -193*f + 4052. What is x(21)?
-1
Let r(d) = 3*d**3 - 76*d**2 + 30*d + 22. Calculate r(25).
147
Let u(v) = 3*v - 68. Determine u(22).
-2
Let s(l) = -l**3 - l**2 + 4*l - 9. Determine s(-5).
71
Let q(a) = 44*a**3 + 3*a**2 + 31*a + 29. Determine q(-1).
-43
Let b(y) = 150*y + 561. Determine b(-3).
111
Let w(l) = 2*l + 138. Give w(-31).
76
Let x(i) = 39*i - 37. Calculate x(-5).
-232
Let l(g) = -2*g**2 - 8*g + 42. Calculate l(0).
42
Let t(m) = m**3 + 5*m**2 + 46*m + 695. Calculate t(-9).
-43
Let g(i) = i**2 - 52*i + 251. Give g(7).
-64
Let w(g) = 2*g**3 + 24*g**2 - 147*g - 361. Determine w(-16).
-57
Let j(s) = s**3 - 3*s**2 + 2*s + 25. Calculate j(4).
49
Let a(b) = b**3 - 30*b**2 + 23*b + 117. Determine a(29).
-57
Let m(l) = 2*l**3 - 62*l**2 + 36*l - 1103. Determine m(31).
13
Let j(m) = 13*m + 651. Give j(-52).
-25
Let k(p) = -p**3 + 7*p**2 - 18*p + 177. Give k(11).
-505
Let c(b) = -b**3 + 145*b**2 + 149*b - 404. Calculate c(146).
34
Let o(r) = r**2 - 35*r + 151. What is o(28)?
-45
Let s(b) = b**3 - 6*b**2 - 1154*b + 258. Determine s(37).
-1
Let n(v) = -12*v**2 - 62*v - 4. Give n(-5).
6
Let o(p) = -4*p + 36. Determine o(25).
-64
Let n(l) = l**3 - 15*l**2 + 18*l. Give n(7).
-266
Let v(t) = -t**2 + 79*t + 9153. Determine v(143).
1
Let p(k) = 99*k + 1387. Give p(-14).
1
Let c(y) = -y**2 - 2*y + 39. What is c(10)?
-81
Let i(m) = -54*m**2 + 72*m + 77. Calculate i(-1).
-49
Let x(g) = 142*g + 11369. What is x(-80)?
9
Let u(h) = h**3 + 1189*h**2 + 7096*h - 14. Calculate u(-6).
-2
Let u(c) = c**3 - 10*c**2 - 7*c - 51. Determine u(0).
-51
Let l(w) = -5*w**2 - 179*w + 178. Determine l(1).
-6
Let z(m) = -3304*m - 118940. Give z(-36).
4
Let x(m) = 166*m - 1011. Give x(8).
317
Let g(p) = 6*p**2 - 6935. Determine g(-34).
1
Let x(r) = 2788*r - 142185. Calculate x(51).
3
Let w(m) = -249*m + 520. Give w(2).
22
Let n(l) = 2*l**2 + 62*l - 813. Calculate n(9).
-93
Let r(j) = j**2 + 37*j + 2. Calculate r(0).
2
Let y(p) = p**3 + 163*p**2 - 2*p - 256. Calculate y(-163).
70
Let j(r) = 8*r**2 + 89*r - 796. Give j(-17).
3
Let w(f) = -244*f + 737. What is w(3)?
5
Let y(o) = 3*o**2 + 116*o - 280. Calculate y(3).
95
Let p(q) = -4*q**2 - 217*q - 28. Determine p(-54).
26
Let b(v) = 16*v + 559. Give b(-26).
143
Let j(f) = -959*f + 6718. Calculate j(7).
5
Let b(k) = -30*k**2 + 1886*k + 258. What is b(63)?
6
Let t(i) = -26*i - 440. Calculate t(-22).
132
Let a(q) = q**3 - 6*q**2 - 13*q + 102. Give a(5).
12
Let x(c) = 23*c + 507. What is x(-19)?
70
Let p(q) = 8*q**2 + 21*q - 3. Determine p(-3).
6
Let r(u) = 6*u - 45. Calculate r(6).
-9
Let z(l) = 106*l - 1001. What is z(10)?
59
Let t(w) = 369*w - 105164. Determine t(285).
1
Let z(w) = -9*w - 87. Give z(-2).
-69
Let p(o) = -o**3 - 46*o**2 + 58*o + 63. Give p(-47).
-454
Let q(y) = -y**2 + 133*y - 632. Calculate q(5).
8
Let r(q) = -q**3 + 39*q**2 - 249*q - 2. What is r(8)?
-10
Let z(u) = -185*u - 1306. Give z(-6).
-196
Let a(w) = -153*w - 9118. Calculate a(-61).
215
Let x(d) = 83*d + 1328. Give x(-10).
498
Let a(w) = 12*w**2 + 9*w + 37. What is a(0)?
37
Let p(o) = -19*o - 912. Give p(-19).
-551
Let d(z) = 18*z**2 - 1262*z + 129. Calculate d(70).
-11
Let j(b) = -1163*b - 89560. Determine j(-77).
-9
Let a(i) = -i**3 - 24*i**2 + 105*i - 36. Determine a(-28).
160
Let l(t) = t**2 + 47*t + 143. Determine l(-3).
11
Let j(t) = -136*t - 41073. Give j(-302).
-1
Let y(t) = -120*t - 3383. Give y(-28).
-23
Let t(n) = 18*n**2 - 5*n + 13. Determine t(4).
281
Let g(u) = -3*u + 102. Calculate g(14).
60
Let a(p) = p**3 - 14*p**2 - 290*p + 3281. Determine a(10).
-19
Let g(z) = -3*z - 66. Calculate g(-6).
-48
Let y(h) = -2*h**3 - 158*h**2 + 4*h + 278. Determine y(-79).
-38
Let l(a) = -11*a + 23. What is l(2)?
1
Let v(c) = 5*c**2 + 11*c + 17. Calculate v(6).
263
Let z(o) = 107*o + 2264. Calculate z(-21).
17
Let f(n) = -n**2 + 320*n - 12143. What is f(44)?
1
Let o(r) = 5*r + 141. Give o(-28).
1
Let k(p) = 634*p**2 - 6*p - 5. Give k(-1).
635
Let z(l) = 34*l**2 - 442*l - 25. What is z(13)?
-25
Let z(h) = 8*h**2 + 7*h + 87. What is z(-7)?
430
Let w(n) = -820*n - 3321. Determine w(-4).
-41
Let b(n) = 31*n + 866. Give b(-28).
-2
Let a(s) = 241*s + 3395. Determine a(-14).
21
Let g(w) = -10*w - 115. Calculate g(0).
-115
Let t(i) = -601*i - 6006. What is t(-10)?
4
Let h(b) = -120*b - 4607. Calculate h(-38).
-47
Let f(c) = | {
"pile_set_name": "DM Mathematics"
} |
1/5
Evaluate ((-2)/(-5))/(30/50*2).
1/3
What is the value of (14/(-35))/((-10)/(-15))?
-3/5
Evaluate (-1)/((18/63)/(-2)).
7
What is the value of 90/5*2*2/(-12)?
-6
Evaluate (4/(-10))/(6/(-15)).
1
-2*6/(-72)*(-147)/7
-7/2
Evaluate (-14)/(-21)*-4*9/(-84).
2/7
What is 5/(-40)*(-12)/((-6)/(-2))?
1/2
(-18)/(-12)*(-4)/3
-2
What is the value of (-8)/24*9*6/(-9)?
2
8/5*(-1)/(-4)
2/5
What is the value of ((-280)/(-210))/((-4)/6)?
-2
Calculate -1*((-24)/(-6))/(-8)*-8.
-4
What is 1134/42*-2*(-1)/6?
9
Evaluate -4*6*(-5)/360.
1/3
Evaluate (111/(-1110))/((-6)/(-10)).
-1/6
Evaluate ((22/(-20))/(-11))/((-5)/(-20)).
2/5
Calculate (25/((-4400)/99))/((-6)/8).
3/4
Calculate 69/23*-2*(-1)/(-51).
-2/17
Calculate (50/8)/(105/84).
5
Calculate 1/(((-1)/1)/3)*-1.
3
What is (40/35)/((-12)/(-42))?
4
Calculate (-13)/(-26)*(-10)/1.
-5
What is ((-12)/8)/(684/48)?
-2/19
What is 40/54*(-48)/(-32)?
10/9
What is ((-104)/(-130))/((-66)/(-15))?
2/11
What is ((-50)/(-225))/(4/9)*-8?
-4
What is the value of 24/32*(-8)/(-12)*-1?
-1/2
Calculate ((-2)/15*1)/(34/(-170)).
2/3
What is the value of (2/12)/(62/(-93))?
-1/4
(-36)/15*(-60)/(-18)
-8
((0/8)/9)/(-5)
0
What is 415/498*8*1/10?
2/3
What is ((264/(-18))/11)/((-2)/(-6))?
-4
Evaluate (104/156)/(2/15).
5
What is -13*(-24)/5460*-10*1?
-4/7
What is the value of (2*(-9)/378)/((-1)/9)?
3/7
What is (21/30*-5)/(-14)?
1/4
Evaluate (2/(-44))/(((-210)/(-24))/(-35)).
2/11
(18/(-28))/(6/(-7))
3/4
Evaluate (10/(-4))/(1/2).
-5
What is the value of (-70)/98*-1*7?
5
4*(6/(-8))/((-39)/(-91))
-7
What is -1*(-3)/(-12)*-8?
2
8/2*1/(16/20)
5
What is ((-16)/(-12))/(152/(-12))?
-2/19
Calculate (1/2)/(-1*(-6)/(-36)).
-3
What is (0*3/(-30))/((-2)/1)?
0
What is ((-5)/(-2))/((-3)/(-2))?
5/3
What is the value of (-1)/((25/(-55))/5)?
11
19/(513/18)*3/11
2/11
(-99)/(-5940)*10/2
1/12
What is the value of ((-1)/((-4)/(-3)))/((-6)/(-24))?
-3
(3/2)/((-273)/(-56)*-2)
-2/13
Calculate 1/(2*1/2).
1
What is (3/(-4))/((-9)/(-48))?
-4
(15/40*-1)/((-21)/(-7))
-1/8
What is the value of (6/(-16))/(4*(-3)/96)?
3
Calculate (-432)/(-32)*8/18.
6
Evaluate (16/(32/18))/((-1)/1).
-9
Calculate (-52)/234*(-3)/(-6).
-1/9
What is ((-1)/4)/(13*(-9)/(-702))?
-3/2
Calculate (18/9)/(2/3).
3
Evaluate (-72)/(-48)*2*1.
3
What is (-60)/(-4)*50/75?
10
Calculate 39/(-117)*(-15)/1.
5
Evaluate (-19)/57*3/2.
-1/2
Evaluate (1/(9/1))/(12/36).
1/3
Calculate ((-4)/(-1))/(13/104*8).
4
What is (28/84)/(6/(-4))?
-2/9
What is the value of (4/(-6))/((64/(-168))/4)?
7
((-7)/(-3))/(210/450)
5
What is the value of 1*30/6*1?
5
What is the value of (4/14)/((-152)/133)?
-1/4
What is the value of -2*(-3)/15*5?
2
What is the value of ((-24)/(-256)*8)/(2/8)?
3
What is the value of (5/1)/((-9)/9)?
-5
Calculate ((-4)/(-6))/((285/9)/5).
2/19
What is the value of (-10)/(((-2)/(-2))/(1/(-2)))?
5
((-3)/4)/((-1)/4)
3
(8/10)/((-4)/(-1))
1/5
(306/51)/((-2)/3)
-9
What is (9*1/(-8))/(36/(-48))?
3/2
Evaluate -1*(-6)/(-4)*696/(-261).
4
Calculate 5*((-24)/10)/4.
-3
Evaluate ((-1)/3)/(12/72).
-2
5/(((-30)/(-5))/6)
5
What is the value of 72/48*3*(-8)/(-18)?
2
What is the value of (-6)/(-3)*(-9)/18?
-1
Calculate 1*((-36)/9)/4.
-1
(-12)/(-18)*(-105)/(-14)
5
Evaluate ((-45)/(-24))/(63/28).
5/6
Evaluate (-13)/13*9*-1.
9
What is the value of ((-2)/(-114)*19)/(2/30)?
5
Evaluate (1*24/(-8))/(-9).
1/3
What is the value of (4/(-25))/(20/400*-4)?
4/5
Evaluate 1/(-3)*(-9)/7.
3/7
What is the value of (-1)/((32/48)/(4/(-39)))?
2/13
What is the value of ((-330)/132)/(10/(-16))?
4
Evaluate (6/(-8))/((-156)/1872).
9
What is (-28)/36*(-2)/(-7)?
-2/9
Evaluate (-3)/(12/(-20))*6/10.
3
What is (165/132)/(1/4)?
5
What is 1/(((-10)/(-4))/((-11)/(-11)))?
2/5
Calculate (-3)/4*(-48)/12.
3
What is the value of ((-26)/78)/((-2)/12)?
2
Evaluate ((-10)/14)/(5/2).
-2/7
What is the value of (4/(-14))/(6/(-63)*-18)?
-1/6
4/(-72)*2*(-6)/5
2/15
Evaluate 6/15*30/3.
4
What is the value of ((-2)/7)/(9/(-63))?
2
Evaluate 21/126*4*9/(-2).
-3
Calculate (2/(-3))/1*(-84)/(-728).
-1/13
((-2)/(-6))/(92/(-207))
-3/4
Evaluate (3*(-8)/48)/(2/1).
-1/4
(5/5*-1)/((-6)/(-6))
-1
What is ((-116)/(-58))/(1/(-2))?
-4
What is the value of 22/121*11/3?
2/3
(-2)/(-18)*18/15*5
2/3
(132/242)/(2/11)
3
What is ((-4)/5)/((-1)/(-5))?
-4
What is the value of 1*(-2)/(-2)*(-3)/1?
-3
What is the value of (3/6)/((-13)/26)?
-1
What is -6*2/(-8)*(-120)/(-36)?
5
(2*(-1)/1)/(-4)
1/2
0/(-2*9/6)
0
Evaluate (6*(-2)/4)/1*3.
-9
10/6*(-49)/(-245)
1/3
Evaluate 108/24*(-8)/(-12).
3
Calculate (3/2)/(81/36).
2/3
What is the value of (18/18)/(1/(-1))?
-1
30/975*-5*1
-2/13
Evaluate ((-64)/(-3))/16*(-9)/(-2).
6
Calculate (50/10)/((-1)/1).
-5
What is the value of 2/(-40)*-4*3/1?
3/5
Calculate (2/4)/(-3*18/(-24)).
2/9
Calculate ((-12)/48)/((-2)/(-40)).
-5
Calculate (-10)/(-25)*6/(-12)*-1.
1/5
-5*(-14)/(-60)*(-1)/7
1/6
Evaluate ((-20)/30)/((-1)/(-3)).
-2
Calculate (9/(-6))/(54/6).
-1/6
Evaluate -2*(12/(-6))/(24/(-4)).
-2/3
Calculate ((-12)/(-16))/((462/24)/(-11)).
-3/7
What is (-8)/30*117/(-390)?
2/25
What is (-3)/(1*(-12)/16)?
4
Calculate ((-18)/(-27))/(4/(-6)).
-1
(1/3)/((-5)/3)
-1/5
What is the value of (-72)/270*-2*6/(-8)?
-2/5
What is 6*((-2)/25)/(136/(-170))?
3/5
What is the value of 8/40*(-5)/(-3)?
1/3
What is (9/(-15))/((-54)/30)?
1/3
What is (4/10)/((66/15)/2)?
2/11
What is the value of (21/(-84))/(1*6/8)?
-1/3
Calculate (-1)/4*4*6/(-2).
3
3/(-7)*14/((-2)/1)
3
Calculate 3*(64/(-24))/8.
-1
Calculate -2*(16/(-30))/(2/3).
8/5
What is ((-1)/2)/(45/(-36))?
2/5
What is ((-9)/(-45))/(((-4)/1)/8)?
-2/5
3/(-42)*(-217)/(-62)
-1/4
What is ((-3)/(-2))/((-144)/384)?
-4
(118/177)/((-16)/3*1)
-1/8
What is the value of (-120)/140*(-3)/(-6)?
-3/7
Calculate (-1)/2*((-60)/(-3))/5.
-2
What is the value of ((-108)/792)/(4/(-44))?
3/2
Evaluate (3/5)/((-7)/(-35)).
3
Calculate 816/(-102)*1/44.
-2/11
Calculate 10*1*(-4)/(-8).
5
Calculate 0/(-10)*1*1/(-2).
0
Evaluate 1*3/(-2)*(-11)/(-33).
-1/2
Calculate ((-10)/(-4))/((-3)/6)*1.
-5
Evaluate -10*4/40*5.
-5
Calculate (-12)/(-3)*5/20.
1
(-12)/(-15)*(-9)/24*2
-3/5
Calculate (1/((-1)/(-2)))/(31/62).
4
Calculate 14/4*(-9)/(27/(-6)).
7
What is (-6)/(-4)*(12/9)/4?
1/2
((-10)/(-25))/((-3)/30)
-4
What is the value of (1/(-4))/((-22)/440)?
5
Evaluate -1*1/((-12)/(-4)).
-1/3
Evaluate 270/(-54)*(-2)/(-5).
-2
((-40)/12)/10*-3
1
Calculate (-30)/(-9)*-2*3/(-5).
4
Calculate (-2)/(-3)*3*195/78.
5
Calculate 10/350*-6*-7.
6/5
Evaluate (0/83)/((2/2)/(-1)).
0
Evaluate (2/8*2)/((-9)/(-72)).
4
What is ((-60)/(-35))/(-6)*1/1?
-2/7
What is (2*2/8)/(8/(-32))?
-2
What is the value of (-2*(-1)/6)/((-12)/(-9))?
1/4
What is ((-2)/(-6))/(7/63)?
3
Evaluate 6/12*(-40)/(-70).
2/7
What is ((-2)/1)/((-18)/(-9))?
-1
Evaluate (0/(3/(-3)))/(16/(-4)).
0
Calculate 12/(-14)*23/(138/(-28)).
4
What is (-3)/135*(-54)/9?
2/15
Evaluate 3/(-1)*(14/(-2))/7.
3
3/198*4*-3
-2/11
What is 45/3*5/(-45)*1?
-5/3
Evaluate (-28)/21*24/16.
-2
What is the value of 63/252*1/(1/24)?
6
What is 2*2/60*-2?
-2/15
What is (10/(-2))/(1/1)?
-5
What is (153/255)/(3/25)?
5
(-6)/(((-10)/(-35))/((-33)/77))
9
Evaluate ((9/(-6))/3)/((-4)/(-3)).
-3/8
What is the value of 4/24*1*-9?
-3/2
Evaluate ((-9)/((-45)/(-10)))/(-10).
1/5
Evaluate (-20)/30*(-6)/(-16).
-1/4
Calculate (-6)/8*(-20)/(-30).
-1/2
(-11)/(-11)*44/(-4)
-11
Calculate (-6)/5*(-19)/(228/40).
4
(-66)/99*18/48
-1/4
Calculate (-1)/9*(-2)/(-2)*6.
-2/3
Evaluate (8/(-16))/((-57)/(-12)).
-2/19
(5/30)/(3/(-4))
-2/9
Calculate ((-24)/(-6))/((-3)/((-15)/(-10))).
-2
Calculate -8*10*6/120.
-4
What is -1*(-2)/(-5)*-5?
2
((2/6)/((-9)/27))/1
-1
What is -4*5/(-6)*(-306)/(-255)?
4
Calculate (-1)/(6*14/(-21)).
1/4
Calculate 12/(-10)*(-39)/234.
1/5
Evaluate -2*3*(-4)/(-12)*-4.
8
Evaluate (6/2)/(13/((-13)/2)).
-3/2
Evaluate 2*(-3)/4*50/75.
-1
Evaluate 1*(36/18)/(1*3).
2/3
Evaluate (16/6)/((-28)/42).
-4
Calculate 9/3*(11/(-2))/(-11).
3/2
0/5*(-3)/(-3)
0
Evaluate ((-20)/(-5))/(40/(-60)).
-6
What is the value of 15/(-75)*140/(-4)?
7
What is the value of (320/(-768))/(5/(-2)*1)?
1/6
Calculate (-6)/(-10*8/(-20)).
-3/2
(-3)/(-6)*4/11
2/11
What is the value of -5*((-22)/30)/11*2?
2/3
3*(4/(-3))/((-135)/(-27))
-4/5
What is -5*(216/(-20))/9?
6
(2/(-5))/(-12*7/(-140))
-2/3
Evaluate (4/(-10))/(30/75)*0.
0
What is the value of 160/200*10/(-4)?
-2
Evaluate 5*1/30*-4.
-2/3
Evaluate (22/(-154))/(5/35).
-1
What is the value of 4/(-7)*91/ | {
"pile_set_name": "DM Mathematics"
} |
d = 0.
-3, -1/2, 0, 1
Solve 3*w**5/2 - 33*w**4/2 + 75*w**3/2 - 15*w**2/2 - 39*w + 24 = 0 for w.
-1, 1, 2, 8
Factor 27*y**2 + 15033*y - 3342.
3*(y + 557)*(9*y - 2)
Let -3*c**2 + 18*c = 0. Calculate c.
0, 6
Determine k so that -k**2/6 - 25*k/6 - 23/3 = 0.
-23, -2
Factor 5*o**4 + 60*o**3 + 50*o**2 - 60*o - 55.
5*(o - 1)*(o + 1)**2*(o + 11)
Suppose 3*a**4/2 - 63*a**3 + 1191*a**2/2 + 1386*a + 726 = 0. What is a?
-1, 22
Find v such that 166*v**5 + 174*v**4 + 8*v**3 = 0.
-1, -4/83, 0
Let z**4/3 - 2*z**3/3 - 19*z**2/3 + 20*z/3 = 0. What is z?
-4, 0, 1, 5
Factor -2*x**4/17 + 4*x**3/17.
-2*x**3*(x - 2)/17
Factor -2*o**3 + 26*o**2 - 68*o - 96.
-2*(o - 8)*(o - 6)*(o + 1)
Factor -n**4/10 + 3*n**3/2 - 24*n**2/5 + 22*n/5.
-n*(n - 11)*(n - 2)**2/10
Factor -w**5/4 - 5*w**4/2 - 9*w**3 - 29*w**2/2 - 43*w/4 - 3.
-(w + 1)**3*(w + 3)*(w + 4)/4
Factor 3*a**3 + 873*a**2 + 63945*a + 63075.
3*(a + 1)*(a + 145)**2
Factor 2*u**4 + 2*u**3 - 4*u**2.
2*u**2*(u - 1)*(u + 2)
Factor 3*b**3/8 - 129*b**2/8 + 231*b - 2205/2.
3*(b - 15)*(b - 14)**2/8
Solve -l**3/3 + 523*l**2/3 + l/3 - 523/3 = 0 for l.
-1, 1, 523
Factor 5*z**4 + 105*z**3 - 5*z**2 - 105*z.
5*z*(z - 1)*(z + 1)*(z + 21)
Factor 2*g**4/17 - 62*g**3/17 - 64*g**2/17.
2*g**2*(g - 32)*(g + 1)/17
Solve -3*k**3 - 4*k**2 + 28*k - 16 = 0.
-4, 2/3, 2
Factor 5*d**4 - 95*d**3 + 175*d**2 - 85*d.
5*d*(d - 17)*(d - 1)**2
Factor 3*l**3/8 + 69*l**2/8 - 144*l + 945/2.
3*(l - 6)**2*(l + 35)/8
Suppose -4*f**2 + 2424*f + 2428 = 0. Calculate f.
-1, 607
Suppose -l**5/6 - 7*l**4/6 + 115*l**3/6 - 125*l**2/6 - 125*l = 0. Calculate l.
-15, -2, 0, 5
What is g in 3*g**5/5 + 6*g**4 + 48*g**3/5 = 0?
-8, -2, 0
Determine k so that -3*k**4 + 156*k**3 - 729*k**2 + 1140*k - 564 = 0.
1, 2, 47
Factor 3*u**2 + 450*u + 1752.
3*(u + 4)*(u + 146)
What is w in -9*w**5/4 + 15*w**4 + 21*w**3/4 - 81*w**2 - 27*w = 0?
-2, -1/3, 0, 3, 6
Factor p**2/9 + 8*p/9 + 16/9.
(p + 4)**2/9
Let 2*z**3/11 + 218*z**2/11 + 5600*z/11 - 18816/11 = 0. Calculate z.
-56, 3
Suppose -2*r**4 - 10*r**3 + 94*r**2 + 210*r + 108 = 0. Calculate r.
-9, -1, 6
Let -9*l**4/8 - 39*l**3/8 - 3*l**2 + 9*l/2 = 0. What is l?
-3, -2, 0, 2/3
What is j in -84*j**4/11 - 2950*j**3/11 - 5988*j**2/11 - 3782*j/11 - 60 = 0?
-33, -1, -5/6, -2/7
Factor 9*n**2/2 + 141*n/8 - 3/2.
3*(n + 4)*(12*n - 1)/8
Factor 3*a**4 + 891*a**3 + 7776*a**2.
3*a**2*(a + 9)*(a + 288)
What is h in 3*h**4 - 36*h**3 + 351*h**2/4 - 249*h/4 + 27/2 = 0?
1/2, 2, 9
Solve -2*g**5/3 + 8*g**4 - 94*g**3/3 + 40*g**2 = 0 for g.
0, 3, 4, 5
Let 2*y**4/5 - 1104*y**3/5 + 154544*y**2/5 - 604992*y/5 + 600608/5 = 0. Calculate y.
2, 274
Factor -5*b**4 + 25*b**3 - 45*b**2 + 35*b - 10.
-5*(b - 2)*(b - 1)**3
Factor -2*d**3/5 + 12*d**2/5 - 2*d.
-2*d*(d - 5)*(d - 1)/5
Find o such that -o**2 + 39*o + 126 = 0.
-3, 42
Determine w, given that -4*w**3/3 - 56*w**2/3 + 80*w/3 + 800 = 0.
-10, 6
Factor 5*i**2 - 24900*i + 31000500.
5*(i - 2490)**2
Determine f, given that 3*f**2/5 - 3294*f/5 + 904203/5 = 0.
549
Factor -7*o**3 + 712*o**2 - 503*o - 202.
-(o - 101)*(o - 1)*(7*o + 2)
Factor -100*u**2 - 16*u.
-4*u*(25*u + 4)
Find p such that -p**2/4 + 2*p + 9/4 = 0.
-1, 9
Solve 28*j**2 - 20*j - 152 = 0 for j.
-2, 19/7
Determine s so that 5*s**3 + 810*s**2 + 5425*s = 0.
-155, -7, 0
Suppose 5*a**2 + 5*a - 30 = 0. Calculate a.
-3, 2
Factor -2*i**2/3 - 8*i/3 - 2.
-2*(i + 1)*(i + 3)/3
Let 10*h**5 + 32*h**4 - 202*h**3/5 - 128*h**2/5 + 152*h/5 - 32/5 = 0. Calculate h.
-4, -1, 2/5, 1
Factor 2*r**4/5 + 16*r**3/5 - 48*r**2/5 - 576*r/5 - 864/5.
2*(r - 6)*(r + 2)*(r + 6)**2/5
Solve -5*h**3 - 795*h**2 - 1575*h - 785 = 0 for h.
-157, -1
Find s, given that 5*s**5 + 175*s**4 + 590*s**3 - 1110*s**2 - 5715*s - 4185 = 0.
-31, -3, -1, 3
Suppose i**2/6 - 13*i/6 + 6 = 0. Calculate i.
4, 9
Factor -l**3/2 + 193*l**2 + 388*l.
-l*(l - 388)*(l + 2)/2
Find l, given that 3*l**2/7 - 13*l/7 + 4/7 = 0.
1/3, 4
Determine m, given that -270*m**2 - 545*m - 10 = 0.
-2, -1/54
Factor -2*x**4 + 30*x**3 + 36*x**2 - 64*x.
-2*x*(x - 16)*(x - 1)*(x + 2)
Factor -2*i**2/7 - 6*i/7 - 4/7.
-2*(i + 1)*(i + 2)/7
Factor 2*m**3 - 2*m**2 - 34*m - 30.
2*(m - 5)*(m + 1)*(m + 3)
Let 2*u**3/9 - 12*u**2 + 192*u - 960 = 0. What is u?
12, 30
Factor -8*z**4 + 6*z**3 + 12*z**2 - 10*z.
-2*z*(z - 1)**2*(4*z + 5)
Factor -5*c**3 + 14360*c**2 - 10310480*c.
-5*c*(c - 1436)**2
Let -2*w**4/7 + 128*w**3/7 + 534*w**2/7 + 676*w/7 + 272/7 = 0. Calculate w.
-2, -1, 68
Factor -q**2/2 + 90*q + 182.
-(q - 182)*(q + 2)/2
Factor -5*k**2/3 - 10*k + 35/3.
-5*(k - 1)*(k + 7)/3
Find s such that 5*s**3 - 975*s**2 + 63375*s - 1373125 = 0.
65
Factor 4*t**3 - 80*t**2 + 464*t - 640.
4*(t - 10)*(t - 8)*(t - 2)
Factor -4*a**3 - 381*a**2 - 2879*a - 696.
-(a + 8)*(a + 87)*(4*a + 1)
Factor 6*b**2 - 1563*b - 783.
3*(b - 261)*(2*b + 1)
Let 3*q**2/4 + 42*q - 171/4 = 0. Calculate q.
-57, 1
Factor -4*b**2 + 628*b + 1272.
-4*(b - 159)*(b + 2)
Factor -2*c**2/5 + 604*c/5 - 45602/5.
-2*(c - 151)**2/5
Suppose -o**2 - 71*o + 632 = 0. Calculate o.
-79, 8
Factor -s**2/4 + 21*s/2 - 405/4.
-(s - 27)*(s - 15)/4
Factor t**4/3 - 8*t**3/3 - 10*t**2/3 + 8*t/3 + 3.
(t - 9)*(t - 1)*(t + 1)**2/3
Solve 2*y**2/3 - 212*y/3 + 5618/3 = 0 for y.
53
Let -2*t**4 + 4*t**3 + 30*t**2 + 8*t - 40 = 0. Calculate t.
-2, 1, 5
Factor -9*d**4/5 + 53*d**3/5 - 39*d**2/5 - d.
-d*(d - 5)*(d - 1)*(9*d + 1)/5
Factor 3*l**3 - 18*l**2 + 9*l + 30.
3*(l - 5)*(l - 2)*(l + 1)
Solve 2*a**5/11 - 96*a**4/11 + 1534*a**3/11 - 736*a**2 - 1536*a/11 + 8192/11 = 0.
-1, 1, 16
Determine q, given that -4*q**4/3 - 80*q**3/3 - 104*q**2 + 880*q/3 - 484/3 = 0.
-11, 1
Let 4*x**5/3 + 94*x**4/3 - 2590*x**3/3 - 6850*x**2/3 - 1858*x - 468 = 0. Calculate x.
-39, -1, -1/2, 18
Factor -s**4 - 6*s**3.
-s**3*(s + 6)
Suppose 5*m**5 - 920*m**4 + 7160*m**3 - 21280*m**2 + 28240*m - 14080 = 0. Calculate m.
2, 176
Factor 2*k**5 + 16*k**4 - 38*k**3 + 20*k**2.
2*k**2*(k - 1)**2*(k + 10)
Factor 438*a**3 + 872*a**2 - 1322*a + 12.
2*(a - 1)*(a + 3)*(219*a - 2)
Solve 15*z**5 - 130*z**4 - 70*z**3 + 220*z**2 + 55*z - 90 = 0 for z.
-1, 2/3, 1, 9
Let -p**5 - p**4 + 11*p**3 - 7*p**2 - 10*p + 8 = 0. What is p?
-4, -1, 1, 2
Factor j**4/4 + 5*j**3/4 + 3*j**2/4 - 9*j/4.
j*(j - 1)*(j + 3)**2/4
Suppose 3*n**2/5 - 27/5 = 0. What is n?
-3, 3
Factor -p**2 - 767*p - 766.
-(p + 1)*(p + 766)
Solve 3*l**2 - 876*l - 6279 = 0 for l.
-7, 299
Let -4*l**4 - 80*l**3 + 576*l**2 - 1216*l + 832 = 0. Calculate l.
-26, 2
Determine y, given that 14*y**5/5 + 4*y**4/5 - 84*y**3/5 + 88*y**2/5 - 2*y - 12/5 = 0.
-3, -2/7, 1
Factor -a**2 + 112*a - 3136.
-(a - 56)**2
Let 2*a**4/5 + 5942*a**3/5 + 11878*a**2/5 + 5938*a/5 = 0. Calculate a.
-2969, -1, 0
Factor 5*c**3/2 + 96*c**2 + 1881*c/2 + 361.
(c + 19)**2*(5*c + 2)/2
Suppose 2*u**3/7 - 2*u**2/7 - 4*u/7 = 0. Calculate u.
-1, 0, 2
Factor 5*q**3 + 10*q**2 - 80*q - 160.
5*(q - 4)*(q + 2)*(q + 4)
Let 3*r**2/5 - 1560*r + 1014000 = 0. What is r?
1300
Factor -2*h**4 - 1272*h**3 - 202248*h**2.
-2*h**2*(h + 318)**2
Determine f, given that 6*f**4 - 38*f**3 + 60*f**2 - 16*f = 0.
0, 1/3, 2, 4
Let 2*k**3/5 + 186*k**2 + 28830*k + 1489550 = 0. Calculate k.
-155
Factor -2*t**2/11 - 428*t/11 + 1302/11.
-2*(t - 3)*(t + 217)/11
Let -g**5/5 + 121*g**4/5 - 237*g**3/5 - 121*g**2/5 + 238*g/5 = 0. Calculate g.
-1, 0, 1, 2, 119
Solve 3*a**2 - 183*a = 0 for a.
0, 61
Factor -3*m**4 + 63*m**3 + 486*m**2 + 96*m - 2592.
-3*(m - 27)*(m - 2)*(m + 4)**2
What is b in 4*b**5 + 12*b**4 + 12*b**3 + 4*b**2 = 0?
-1, 0
Solve -3*a**5/2 + 21*a**4/4 + 3*a**3/4 - 39*a**2/2 + 21*a - 6 = 0 for a.
-2, 1/2, 1, 2
Factor -3*m**3/4 + 429*m**2/4 + 108*m.
-3*m*(m - 144)*(m + 1)/4
Factor 2*a**3/7 - 20*a**2/7 + 66*a/7 - 72/7.
2*(a - 4)*(a - 3)**2/7
Find h, given that -h**2 + 10*h - 21 = 0.
3, 7
Let -55*g**4 + 320*g**3 - 435*g**2 + 130*g + 40 = 0. Calculate g.
-2/11, 1, 4
What is c in 2*c**5 - 6*c**3 - 4*c**2 = 0?
-1, 0, 2
Let -k**2 - 16*k - 48 = 0. What is k?
-12, -4
Determine r so that -r**5/4 - r**4/4 + 51*r**3/4 + 149*r**2/4 + 73*r/2 + 12 = 0.
-6, -1, 8
Factor -4*h**3 + 28*h**2 + 68*h + 36.
-4*(h - 9)*(h + 1)**2
Factor f**4 + 2968*f**3 + 2196312*f**2 - 8820896*f + 8832784.
(f - 2)**2*(f + 1486)**2
What is u in 4*u**2 - 396*u - 2080 = 0?
-5, 104
Let 3*x**4/7 + 9*x**3/7 + 6*x**2/7 = 0. What is x?
-2, -1, 0
Solve -3*m**5 + 84*m**4 - 792*m**3 + 2496*m**2 + 1680*m - 14400 = 0.
-2, 4, 6, 10
Factor 2*k* | {
"pile_set_name": "DM Mathematics"
} |
he second derivative of 74*k**3*n**2 + k**3*n - 2*k**3 - 2*k**2*n**2 - 611*k*n**2 + 2*k*n - 3*n**2 + 9*n - 220000 wrt n.
148*k**3 - 4*k**2 - 1222*k - 6
What is the third derivative of 7322884*i**5 + i**2 - 1135447*i?
439373040*i**2
Find the second derivative of -48*b**4 + 262672*b**2 - 84993326*b.
-576*b**2 + 525344
What is the second derivative of -4923772*u**2 + 25088*u + 27?
-9847544
Find the second derivative of -198*t**5 + 647*t**4 - t**3 - 472*t + 42.
-3960*t**3 + 7764*t**2 - 6*t
Differentiate -648941249*w + 718300743 with respect to w.
-648941249
Find the second derivative of -13*h**4 + 511492*h**3 + 385141*h + 23 wrt h.
-156*h**2 + 3068952*h
What is the second derivative of -68570*s**3 - 1554*s**2 + 211*s - 1585209?
-411420*s - 3108
Find the second derivative of -4178167*r**2 - 1682169*r + 5 wrt r.
-8356334
What is the second derivative of -597742*f**2*o**3 + 973*f**2*v**2 - 71*f*o**3*v**3 + 17*o*v**3 + 96*o*v**2 wrt o?
-3586452*f**2*o - 426*f*o*v**3
Find the second derivative of 29309*h**2*k**2 - 2*h**2*k - 3*h**2 + 35*h*k**4 + 17015*h*k - 4*k + 3 wrt k.
58618*h**2 + 420*h*k**2
Differentiate 112727062*k + 135997126.
112727062
What is the second derivative of 6221465*t**5 + 3*t**3 + 8*t - 97082?
124429300*t**3 + 18*t
Find the third derivative of 247119*a*f**3 - 4*a*f**2 + 4*a*f + 10*a - 197*f**3 - f**2 + 2*f + 25 wrt f.
1482714*a - 1182
What is the second derivative of 13619377*p**2 + 43722*p + 36?
27238754
Find the third derivative of -14890025*y**4 - 6521676*y**2 + 4 wrt y.
-357360600*y
Find the third derivative of -11268038*f**5 - 270*f**2 - 7967*f wrt f.
-676082280*f**2
Find the second derivative of 150691328*w**4 - 2118815*w - 80.
1808295936*w**2
What is the third derivative of 15146377*c**3*r**3 + 856*c**2*r**2 + 3*c**2*r + 523*c*r**3 wrt c?
90878262*r**3
Find the third derivative of 35964406*b**4 - 7*b**2 - 313796 wrt b.
863145744*b
Find the third derivative of -5547*b**3*l**3 + 11662*b**3 + 112*b**2 + 168*b*l - 27*l**3 + l**2 wrt b.
-33282*l**3 + 69972
What is the third derivative of 5*c*x*z**3 - 10*c*x*z**2 - 39*c*x*z - 16*c*x - c*z**3 - 2*c*z**2 + 2*c*z - 5*x*z**3 + 2*x*z**2 + 125*z**3 wrt z?
30*c*x - 6*c - 30*x + 750
Find the second derivative of 177423706*c*s**2 - 750730*c*s - c + 4*s wrt s.
354847412*c
What is the first derivative of 3709528*c**2*l**2 - 2*l**2 - 6363*l - 5 wrt c?
7419056*c*l**2
What is the first derivative of -78183811*o**2*x**3 + o*x**3 + 51545039*x**3 wrt o?
-156367622*o*x**3 + x**3
What is the first derivative of 190*d**2*x**3 - 9059*d*k*x**3 - 3*k*x**2 + 888*k*x + 2*x**3 + 318 wrt d?
380*d*x**3 - 9059*k*x**3
What is the second derivative of -213*h**4 - 14230*h**3 + 20260841*h wrt h?
-2556*h**2 - 85380*h
Find the third derivative of -5310102*a**4 + 4718*a**2 + 8222 wrt a.
-127442448*a
Find the third derivative of -812*a**4 - 129*a**3 + 604*a**2 - 3*a - 2616 wrt a.
-19488*a - 774
Find the first derivative of 65049007*a**4 - 56348397.
260196028*a**3
What is the third derivative of 640678541*x**5 - 29*x**2 - 11982123 wrt x?
38440712460*x**2
Differentiate 2*a*j**2 + 5*a*j + 92919*a - 7754782*j**2 with respect to a.
2*j**2 + 5*j + 92919
Find the first derivative of -6*r*v**2 + 6654276*r*v - 208710812*v**2 wrt r.
-6*v**2 + 6654276*v
Find the second derivative of 23149421*g**2*u**2 - 4*g*u**2 - 2657*g*u - 354 wrt g.
46298842*u**2
Find the second derivative of 2*l**3 - 730809601*l**2 + 5911790*l + 20 wrt l.
12*l - 1461619202
What is the derivative of x**2 - 68774792*x + 624655530 wrt x?
2*x - 68774792
What is the second derivative of 9973245*b*l**3 + 2*b*l**2 + 2*b*l + 422485000*b - 4*l**2 wrt l?
59839470*b*l + 4*b - 8
Find the second derivative of 9438945*q**2*s**2 + 711*q*s**2 + 8*q*s + 9*q + 3*s**2 + 1 wrt q.
18877890*s**2
What is the third derivative of 2*l**4*s**2 - 651377*l**3*s - 26761589*l**2*s**2 wrt l?
48*l*s**2 - 3908262*s
What is the derivative of -12*b**2*p + 33*b**2 + 128760*b*p - b + 960294683*p wrt b?
-24*b*p + 66*b + 128760*p - 1
Differentiate 26*g**3*o**2 + 23980165*g**3 - 112501*g*o**3 with respect to o.
52*g**3*o - 337503*g*o**2
Differentiate 2*n**3 + 4137*n**2 + 1789*n + 146441498 wrt n.
6*n**2 + 8274*n + 1789
What is the third derivative of -126597566*m**3*r**2 - 8*m**2*r**2 + 12*m**2*r + 16*m**2 - 8*r**2 wrt m?
-759585396*r**2
Find the second derivative of 19*b*h**2*z + 54*b*h**2 + b*h*z - 2*b*h + b*z - 299*h**2*z + h**2 + 20*h*z - z - 5 wrt h.
38*b*z + 108*b - 598*z + 2
Find the second derivative of 2*f**2*l**2 + 349373*f**2*l + 5*f*l**2 + 17304*f*l + 2*l + 2 wrt f.
4*l**2 + 698746*l
Find the second derivative of 68843*j**4*u - 13*j**2*u - 285*j + 17583*u wrt j.
826116*j**2*u - 26*u
What is the third derivative of 3795*g**2*r**3 + 50*g**2 + 3*g*r**3 + 3*g*r**2 - 907*r**3 - 31671*r**2 - 1 wrt r?
22770*g**2 + 18*g - 5442
Differentiate 12295692*h + 656153.
12295692
Find the third derivative of 23*f**3*x**2 - 58078*f**3*x + 2*f**2*x**2 + 2*f**2*x - 4*f*x + 73022 wrt f.
138*x**2 - 348468*x
Find the first derivative of 2*i**4 + 2*i**3 + 23*i**2 + 3602*i + 3455709.
8*i**3 + 6*i**2 + 46*i + 3602
Differentiate 30*d**3 + 2*d**2 - 344389*d - 407032732.
90*d**2 + 4*d - 344389
What is the third derivative of -2596548*x**3 - 716*x**2 - 2*x - 10262?
-15579288
Find the second derivative of 54924*i**4 + 41*i**3 - 42*i**2 - 606614054*i.
659088*i**2 + 246*i - 84
Differentiate 15*k**3*u - 2224*k**3 + 44*k**2 - 1477472*u + 159 with respect to k.
45*k**2*u - 6672*k**2 + 88*k
What is the second derivative of 2*l**3 + 29273036*l**2 + 73755525*l wrt l?
12*l + 58546072
Differentiate 1075319*a*j**3 + 4*a*j**2 + 2678631*j**3 wrt a.
1075319*j**3 + 4*j**2
Find the second derivative of -768*i**2*u**2 + 6*i**2*u + 9127*i**2 + 2932*i*u**2 - 40*i*u wrt u.
-1536*i**2 + 5864*i
What is the second derivative of 75255758*l**2*v + 61*l + 175027*v wrt l?
150511516*v
What is the second derivative of -21694*d**4 - 4*d**3 + 50*d**2 - 10713*d - 4437 wrt d?
-260328*d**2 - 24*d + 100
What is the second derivative of -23477615*p**2 + 11235137*p?
-46955230
What is the first derivative of -925*q**4 + 153230*q**2 - 26401124?
-3700*q**3 + 306460*q
Differentiate -8*j*k - 17*j*u**2 + 2*j*u - 5*j + 32*k*u**2 - 222*u**2 + u + 6 with respect to j.
-8*k - 17*u**2 + 2*u - 5
Find the third derivative of 1390*m**4*s + 1263*m**4 - m**3*s - m**2*s - 15*m**2 + 10*m*s + 15*s - 9 wrt m.
33360*m*s + 30312*m - 6*s
Differentiate -11550214*m - 24338316 with respect to m.
-11550214
What is the third derivative of -4081887*m**2*t**3*x**3 - 101*m**2*t**2*x**2 + 5*m**2*x**2 + 3*m*t**2*x**3 - m*t*x + 2*t**3*x**3 - 4*t**2*x**2 - 6*t*x**3 wrt t?
-24491322*m**2*x**3 + 12*x**3
Find the third derivative of -15827632*o**3 - 8710627*o**2 - 3 wrt o.
-94965792
Find the second derivative of -22119563*c**2 + 245655323*c wrt c.
-44239126
What is the third derivative of 2*t**5 + 3215*t**4 - 488*t**3 + 57309976*t**2?
120*t**2 + 77160*t - 2928
Find the third derivative of 36272*c**5 + 8*c**4 + 20*c**3 - 31087998*c**2.
2176320*c**2 + 192*c + 120
Find the third derivative of 7*m**6 - 49371*m**5 + 4*m**4 - 2192*m**2 + 202 wrt m.
840*m**3 - 2962260*m**2 + 96*m
Find the second derivative of 2*g**3*y**2 + g**3*y + 16*g**2*y**2 + 27*g**2 - 191*g*y**2 + 2*g*y - 1018658*g + 430*y**2 wrt y.
4*g**3 + 32*g**2 - 382*g + 860
Find the first derivative of 431454630*h**3 + 148774675.
1294363890*h**2
What is the second derivative of 203641841*f**2 + 180026541*f?
407283682
Differentiate -161832*a*w**2 + a*w + a - 26*w**2 + 6*w - 12381472 with respect to w.
-323664*a*w + a - 52*w + 6
Find the first derivative of -19599127*t + 22682753 wrt t.
-19599127
Find the second derivative of -8*o**4 - 33*o**3 - 792*o**2 + 101*o + 8787.
-96*o**2 - 198*o - 1584
Find the third derivative of -1118152920*j*p**3 - 565*j*p**2 - 13*j*p - 7*j + 3*p**2 - p - 1 wrt p.
-6708917520*j
Find the third derivative of -3807*h**5 + 941*h**4 + 16*h**2 + 3508*h + 22.
-228420*h**2 + 22584*h
Find the first derivative of 3357875*y - 7550659.
3357875
Find the first derivative of -12987405*p*r**3 + r**3 - 4*r**2 - 34589*r - 120 wrt p.
-12987405*r**3
Differentiate 21347*f**2*s + 239229*f**2 + 57*f - 613*s with respect to s.
21347*f**2 - 613
What is the third derivative of -1424*q**6 - 40*q**5 - 2*q**3 + q**2 - 1360132*q?
-170880 | {
"pile_set_name": "DM Mathematics"
} |
ce px?
1/3
Four letters picked without replacement from irgugurwru. Give prob of sequence wirg.
1/840
Four letters picked without replacement from wwvwvddrwrvawvrv. What is prob of sequence ardv?
1/1456
Three letters picked without replacement from ccsgsogp. What is prob of sequence gco?
1/84
Two letters picked without replacement from {r: 2, m: 6, g: 3, j: 1}. What is prob of sequence gm?
3/22
Calculate prob of sequence xnn when three letters picked without replacement from xxxxxxxxxnxnnn.
5/91
Calculate prob of sequence du when two letters picked without replacement from uuuddddouuuudo.
5/26
Four letters picked without replacement from eeleellllg. What is prob of sequence elle?
1/21
Calculate prob of sequence ot when two letters picked without replacement from {o: 1, q: 2, n: 4, t: 3}.
1/30
What is prob of sequence qjmj when four letters picked without replacement from wjmqj?
1/60
Three letters picked without replacement from ggxxkkogoxgxgxgxgx. Give prob of sequence gko.
7/1224
Four letters picked without replacement from {c: 1, i: 4, v: 1, o: 2, u: 2, r: 2}. Give prob of sequence roco.
1/2970
Four letters picked without replacement from tpppkkidppdpikddppk. Give prob of sequence kidt.
1/2907
Three letters picked without replacement from {r: 3, m: 3, t: 2, b: 1, h: 2, z: 4}. Give prob of sequence brh.
1/455
Two letters picked without replacement from {l: 2, u: 1, w: 2, t: 1, v: 1, r: 1}. What is prob of sequence uv?
1/56
Three letters picked without replacement from bygyybbjyjyjby. What is prob of sequence yjb?
3/91
Calculate prob of sequence xs when two letters picked without replacement from xxxsxxxsxxx.
9/55
Calculate prob of sequence hhxh when four letters picked without replacement from xkhxhxxxhhxkxxhxxh.
5/306
Two letters picked without replacement from {v: 4, w: 1, d: 2}. What is prob of sequence dd?
1/21
What is prob of sequence dddd when four letters picked without replacement from {d: 5, w: 7}?
1/99
Calculate prob of sequence es when two letters picked without replacement from {c: 2, e: 7, s: 5, h: 4, v: 2}.
7/76
Two letters picked without replacement from {j: 1, o: 1, i: 2}. Give prob of sequence oi.
1/6
Four letters picked without replacement from kqbkhq. What is prob of sequence qhqb?
1/180
What is prob of sequence mvvm when four letters picked without replacement from mmmmvvvmmmmmmmm?
11/455
Calculate prob of sequence uu when two letters picked without replacement from uuuuumumnuubbbn.
4/15
Two letters picked without replacement from {q: 2, w: 1, o: 11}. What is prob of sequence qo?
11/91
Three letters picked without replacement from {u: 1, t: 1, f: 2, z: 2, q: 2, r: 4}. What is prob of sequence zzt?
1/660
Calculate prob of sequence bcf when three letters picked without replacement from {c: 1, b: 1, f: 1}.
1/6
Two letters picked without replacement from {c: 3, x: 4, r: 1}. What is prob of sequence xc?
3/14
Four letters picked without replacement from eteesettmteteette. What is prob of sequence smte?
1/1020
Two letters picked without replacement from {y: 1, p: 5, w: 4, j: 1, r: 4}. What is prob of sequence jp?
1/42
Two letters picked without replacement from {n: 9, u: 3, z: 4, t: 4}. What is prob of sequence zu?
3/95
Three letters picked without replacement from etut. Give prob of sequence utt.
1/12
Four letters picked without replacement from {z: 3, b: 3, d: 4, v: 4, p: 6}. Give prob of sequence bpvb.
2/1615
Calculate prob of sequence pp when two letters picked without replacement from ppppeppp.
3/4
Two letters picked without replacement from sssssmssssss. What is prob of sequence ms?
1/12
What is prob of sequence sppc when four letters picked without replacement from qcpqscpupcpu?
1/330
Four letters picked without replacement from {i: 3, q: 1, a: 9, l: 3, g: 2}. What is prob of sequence qggl?
1/12240
Calculate prob of sequence ootr when four letters picked without replacement from otrrtotototoo.
5/286
What is prob of sequence nnk when three letters picked without replacement from {k: 2, n: 2}?
1/6
Calculate prob of sequence kocb when four letters picked without replacement from ccoibccccckccococckc.
13/19380
What is prob of sequence nnn when three letters picked without replacement from bnnndhbndnnb?
1/11
What is prob of sequence de when two letters picked without replacement from dnhooey?
1/42
Two letters picked without replacement from ennan. Give prob of sequence ae.
1/20
Calculate prob of sequence oror when four letters picked without replacement from {o: 4, r: 14}.
91/3060
Three letters picked without replacement from {t: 2, z: 1}. Give prob of sequence tzt.
1/3
Two letters picked without replacement from {m: 7, q: 4, t: 4}. What is prob of sequence tt?
2/35
Two letters picked without replacement from {w: 3, i: 5}. Give prob of sequence ii.
5/14
What is prob of sequence wexw when four letters picked without replacement from lxzwwzazwex?
1/660
Three letters picked without replacement from ffqqqqqqfqf. Give prob of sequence qff.
14/165
Three letters picked without replacement from {p: 7, q: 1, m: 1, e: 3, s: 2}. Give prob of sequence mpm.
0
Three letters picked without replacement from {s: 1, z: 4, p: 2, a: 2, c: 1, f: 4}. What is prob of sequence azz?
1/91
Calculate prob of sequence bb when two letters picked without replacement from {b: 8, r: 5}.
14/39
Calculate prob of sequence sc when two letters picked without replacement from xxscxnsnxc.
2/45
Three letters picked without replacement from zzcdcccdccczcczz. What is prob of sequence czd?
3/112
Three letters picked without replacement from uyaujuauuyujy. Give prob of sequence yja.
1/143
Two letters picked without replacement from {e: 2, l: 5, u: 3}. Give prob of sequence lu.
1/6
Calculate prob of sequence wwuw when four letters picked without replacement from uwuwouwwwuttuuuu.
1/91
Four letters picked without replacement from fhhhhf. What is prob of sequence hhhf?
2/15
Two letters picked without replacement from qooosoqqoqsos. Give prob of sequence qo.
2/13
What is prob of sequence wwk when three letters picked without replacement from wkywkwwkkykk?
3/55
Two letters picked without replacement from {m: 1, l: 9, j: 1}. What is prob of sequence mm?
0
What is prob of sequence di when two letters picked without replacement from kskdsdiwwduiuuksi?
9/272
What is prob of sequence ue when two letters picked without replacement from {o: 1, e: 7, u: 2, f: 4, i: 1, g: 2}?
7/136
Calculate prob of sequence rk when two letters picked without replacement from rripirrrks.
1/18
Two letters picked without replacement from {h: 2, x: 2, i: 5, z: 4}. Give prob of sequence iz.
5/39
Two letters picked without replacement from {h: 4, z: 1, f: 5, a: 1, r: 1, n: 1}. What is prob of sequence zf?
5/156
Calculate prob of sequence gmm when three letters picked without replacement from {h: 4, m: 4, g: 11}.
22/969
Calculate prob of sequence dt when two letters picked without replacement from cdt.
1/6
Calculate prob of sequence zzy when three letters picked without replacement from {z: 2, x: 1, t: 8, n: 1, i: 2, y: 1}.
1/1365
Four letters picked without replacement from {b: 3, q: 3, a: 2, r: 3, l: 4, s: 1}. Give prob of sequence rqra.
3/3640
Three letters picked without replacement from mmpmkammmlmmmm. Give prob of sequence kap.
1/2184
Three letters picked without replacement from {a: 3, o: 5, h: 1}. What is prob of sequence aoo?
5/42
What is prob of sequence ios when three letters picked without replacement from iiooooooso?
7/360
What is prob of sequence sker when four letters picked without replacement from fqrkeereerfqsqeeses?
7/10336
Two letters picked without replacement from {t: 7, x: 1}. What is prob of sequence xt?
1/8
Calculate prob of sequence yo when two letters picked without replacement from {t: 2, y: 4, o: 1, n: 4, z: 3}.
2/91
Calculate prob of sequence fvv when three letters picked without replacement from {e: 3, f: 2, v: 4, j: 8}.
1/170
Three letters picked without replacement from jjtjjjjjt. Give prob of sequence tjj.
1/6
Calculate prob of sequence rgi when three letters picked without replacement from giirriiuiiir.
7/440
Calculate prob of sequence gqq when three letters picked without replacement from {d: 4, g: 1, x: 1, q: 2}.
1/168
Calculate prob of sequence re when two letters p | {
"pile_set_name": "DM Mathematics"
} |
- 15*b - 11. Let q(z) be the first derivative of x(z). Factor q(p).
-2*(p - 1)**3/11
Let j(x) be the second derivative of 0 - 15/16*x**4 + 13*x - 375/8*x**2 + 3/80*x**5 + 75/8*x**3. Factor j(r).
3*(r - 5)**3/4
Let j = 1276/3 + -424. Solve -10/3*y**3 - 6*y + j + 8*y**2 = 0.
2/5, 1
Suppose 293 + 12*y**2 + 3*y**3 - 293 - 15*y = 0. Calculate y.
-5, 0, 1
Let j = -2/9393 + 9397/18786. Find t, given that -1/8*t**3 + 1/8*t + j*t**2 - 1/2 = 0.
-1, 1, 4
Factor w**2 + 10*w - 76*w + 3*w**2 + 76 - 14*w.
4*(w - 19)*(w - 1)
Let b(p) be the first derivative of 3*p**5/5 - 21*p**4/4 + 15*p**3 - 27*p**2/2 + 517. Find h such that b(h) = 0.
0, 1, 3
Solve 0 + g**4 - 7*g**3 + 0 + 11*g**2 - 4 + 7*g + 0*g**4 - 8 = 0 for g.
-1, 1, 3, 4
Let x be (4521/4110)/(-1 + (-18)/(-16)). Determine h, given that -2/5*h**2 - 242/5 - x*h = 0.
-11
Let n(h) be the first derivative of -h**4/24 - 139*h**3/18 - 1633*h**2/4 - 1587*h/2 + 435. Factor n(l).
-(l + 1)*(l + 69)**2/6
Let h be 2 + ((-4)/(-9))/((-22)/(-99)). Find c such that -1/3 - 2/3*c + 2/3*c**2 - 2/3*c**5 - 1/3*c**h + 4/3*c**3 = 0.
-1, -1/2, 1
Factor -45 - 5*v + 40*v**2 - 9*v + 54*v**2 - 95*v**2.
-(v + 5)*(v + 9)
Factor 13 + 13*s + 5*s**2 - 13 - 48*s - 20*s.
5*s*(s - 11)
Let i be 754/(-14) - (-8)/(-2). Let v = i + 58. Factor -2/7*u**3 + v*u**4 + 2/7*u - 1/7 + 0*u**2.
(u - 1)**3*(u + 1)/7
Let u = 25805/2 - 12901. Factor 3/4*h**4 + 0*h**2 - u*h**3 + 0*h + 0.
3*h**3*(h - 2)/4
Let o be 4/10*70/182. Let z = 37 + -479/13. Factor 0 + z*i**4 - o*i**2 - 2/13*i**3 + 2/13*i.
2*i*(i - 1)**2*(i + 1)/13
Factor -75/8 + 7/8*o**2 - 5/8*o + 1/8*o**3.
(o - 3)*(o + 5)**2/8
Let y(j) be the first derivative of 1/12*j**3 - 1/4*j**2 + 3 - 1/160*j**5 + 3*j + 1/96*j**4. Let n(d) be the first derivative of y(d). Let n(t) = 0. What is t?
-2, 1, 2
Let r(k) be the third derivative of k**6/160 + k**5/40 - k**4/32 - k**3/4 + 95*k**2. Solve r(x) = 0.
-2, -1, 1
Let g(p) be the first derivative of 0*p**2 - 2/9*p**4 - 2/27*p**3 + 0*p - 8/45*p**5 - 27. Let g(q) = 0. Calculate q.
-1/2, 0
Let v(m) be the third derivative of 0 + 3*m**2 - 11/4*m**4 - 23/15*m**5 + 0*m - 3/35*m**7 - 1/2*m**6 - 1/168*m**8 - 3*m**3. Let v(x) = 0. Calculate x.
-3, -1
Factor -15 - 59*p**2 + 12 - 58 + p**3 - 121*p.
(p - 61)*(p + 1)**2
Let z(j) = j**3 + j**2 + j. Let v(c) = c**2 + 4*c. Let l be v(-4). Let w be z(l). Factor 2*i**4 + 2*i**3 + 0*i**3 + i**2 + w*i**2 - i**4.
i**2*(i + 1)**2
Let a(x) be the first derivative of -x**5/15 + 2*x**4/3 + x**3 - 548. Determine o so that a(o) = 0.
-1, 0, 9
Let f be (-1 - (2 - 3))/(48/168*7). Factor 0 + f*x + 1/4*x**3 + 1/4*x**2.
x**2*(x + 1)/4
Let c(q) be the third derivative of -q**6/120 - 3*q**5/40 + 13*q**3/6 + 16*q**2. Let p(f) be the first derivative of c(f). Find t, given that p(t) = 0.
-3, 0
Let x(l) be the second derivative of l**4/3 - 10*l**3 + 52*l**2 + 240*l. Let x(h) = 0. What is h?
2, 13
Suppose 15 - 179 = -4*i. Let r = 125/3 - i. Find t such that r*t**3 + 4/3 + 10/3*t + 8/3*t**2 = 0.
-2, -1
Let a(m) = -15*m**2 - 22*m + 25. Let b(x) = 26*x**2 + 44*x - 49. Let l(w) = 7*a(w) + 4*b(w). Solve l(i) = 0.
1, 21
Find n, given that -23*n**2 - 5*n**4 - 59*n**2 - 26*n**3 + 2*n**2 - 4*n**3 - 55*n**3 = 0.
-16, -1, 0
Suppose -4*t = -6*t + 24. Solve 10 + 128*q - 7*q**3 + t*q**2 - 13*q**3 + 38 = 0.
-2, -2/5, 3
Factor -9*w - 3/2*w**4 - 33/2*w**2 + 0 - 9*w**3.
-3*w*(w + 1)*(w + 2)*(w + 3)/2
Let i(m) be the third derivative of 1/360*m**6 - 1/72*m**4 + 0 + 1/9*m**3 - 27*m**2 - 1/90*m**5 + 0*m. Find a such that i(a) = 0.
-1, 1, 2
Let c(s) be the first derivative of 3/4*s**4 - 5*s**3 + 0*s + 9*s**2 + 45. Factor c(j).
3*j*(j - 3)*(j - 2)
Let w be (86/21)/((-132)/198) - -13. Suppose w*b**3 + 600/7*b - 375/7 - 270/7*b**2 - 3/7*b**4 = 0. Calculate b.
1, 5
Let r(j) be the second derivative of j**8/5040 - j**7/360 - j**6/135 - 37*j**3/6 - j - 2. Let c(i) be the second derivative of r(i). Factor c(a).
a**2*(a - 8)*(a + 1)/3
Let j(h) be the second derivative of -h**6/90 + 2*h**5/15 - 2*h**4/3 - 5*h**3/2 + 12*h. Let l(s) be the second derivative of j(s). Factor l(x).
-4*(x - 2)**2
Let h(p) be the third derivative of -3*p**6/100 + 17*p**5/75 + 2*p**4/15 + 84*p**2. Factor h(a).
-2*a*(a - 4)*(9*a + 2)/5
Let p(z) be the first derivative of 4*z**5 - 65*z**4/4 + 40*z**3/3 + 35*z**2/2 - 30*z + 48. Suppose p(d) = 0. What is d?
-3/4, 1, 2
Factor -451 - g**2 - 44*g + 3*g**2 - 6*g**2 + 411.
-4*(g + 1)*(g + 10)
Let b(o) be the third derivative of o**5/100 - 271*o**4/60 - 181*o**3/30 + 124*o**2. Factor b(x).
(x - 181)*(3*x + 1)/5
Suppose j - 2 = 1. Suppose -j = -w, 5*d + 2*w - 14 = d. Suppose -15*q**4 + q**d + 14*q**4 - q**5 - q**2 = 0. Calculate q.
-1, 0
Let s = -170 - -170. Let n(a) be the third derivative of 1/6*a**4 + 1/105*a**7 + 0 + s*a**3 + 2*a**2 + 0*a + 1/15*a**6 + 1/6*a**5. Let n(x) = 0. Calculate x.
-2, -1, 0
Let h be (3/9)/(2 + 34/(-18)). Factor 11*y + 2*y**4 + 12*y**h + 24*y**2 + 13*y - 4*y + 6 + 0*y.
2*(y + 1)**3*(y + 3)
Let z(k) = -2*k**2 - 28*k + 32. Let v(n) = -n**2 - n - 2. Let y(c) = 4*v(c) - z(c). Find o, given that y(o) = 0.
2, 10
Let o(p) be the second derivative of -64/9*p**3 - 20/3*p**2 - 19/6*p**4 - 16*p + 0 - 3/10*p**5. Determine d so that o(d) = 0.
-5, -2/3
Let n = -3/257 + 557/25700. Let d(u) be the third derivative of -1/40*u**4 + 0*u**3 + 2*u**2 + 0 + 0*u - n*u**5. Let d(s) = 0. Calculate s.
-1, 0
Find s such that 4/15*s - 4/15*s**4 + 14/15*s**3 - 14/15*s**2 + 0 = 0.
0, 1/2, 1, 2
Factor 74*c + 50*c - 13411*c**2 - 64 + 13419*c**2.
4*(c + 16)*(2*c - 1)
Let n = 69 - 9. Factor 121 - n - 4*h**3 - 61 + 12*h**2.
-4*h**2*(h - 3)
Suppose 3396*j = 3388*j. Factor -3/4*s**4 - 3/4*s + 3/4*s**2 + j + 3/4*s**3.
-3*s*(s - 1)**2*(s + 1)/4
Let h(c) be the third derivative of 1/3*c**5 - 7/30*c**6 + 0*c + 8/3*c**4 + 10*c**2 + 8/3*c**3 + 0. What is f in h(f) = 0?
-1, -2/7, 2
Suppose 5*f - 5 = 0, 54*a - 3*f - 7 = 49*a. Let i(o) be the second derivative of -4/15*o**3 + 0 + 1/30*o**4 - 7*o + 4/5*o**a. Solve i(l) = 0 for l.
2
Let c(m) be the second derivative of -10/3*m**4 + 0 + 1/8*m**5 + 0*m**2 + 80/3*m**3 + 17*m. Factor c(p).
5*p*(p - 8)**2/2
Let z be -1*2/(-2) - (-75)/(-90). Suppose 3*x = -2*r + 18, -3*r = -4*x + 2 + 5. Factor -1/6*y + 0*y**r + 0 + 1/3*y**4 + z*y**5 - 1/3*y**2.
y*(y - 1)*(y + 1)**3/6
Let y be 5*(26/30 + (-16)/(-120)). Let p(l) be the first derivative of 2 + 0*l + 0*l**4 + 0*l**2 - l**3 + 3/5*l**y. Factor p(d).
3*d**2*(d - 1)*(d + 1)
Let h(b) = -b - 19. Let a be h(-21). Let o(k) be the third derivative of -1/60*k**5 + 0 + 0*k - 4*k**a + 1/24*k**4 - 1/120*k**6 + 1/6*k**3. Factor o(w).
-(w - 1)*(w + 1)**2
Let p(o) be the second derivative of 1/10*o**3 + 9/100*o**5 + 0*o**2 - 1/50*o**6 + 0 - 3/20*o**4 - o. Factor p(y).
-3*y*(y - 1)**3/5
Let c(f) be the first derivative of 5*f**6/6 - 5*f**5 + 35*f**4/4 + 5*f**3/3 - 20*f**2 + 20*f - 205. What is b in c(b) = 0?
-1, 1, 2
Let m(q) be the third derivative of q**7/63 + 7*q**6/60 + 2*q**5/9 - q**4/3 - 16*q**3/9 + 208*q**2. Determine a, given that m(a) = 0.
-2, -1, 4/5
Let a(c) be the third derivative of 5*c**8/84 - 3*c**7/14 + c**6/12 + 2*c**5/3 - 5*c**4/4 + 5*c**3/6 + 256*c**2. Suppose a(f) = 0. Calculate f.
-1, 1/4, 1
Let h(n) be the first derivative of 23 + 0*n + 2/27*n**3 + 2/9*n**2. Factor h(s).
2*s*(s + 2)/9
Factor -3/4*t**2 + 0*t + 3.
-3*(t - 2)*(t + 2)/4
Let f(w) be the second derivative of -w**6/3 + 4*w**5/5 + 2*w**4/3 - 82*w. Factor f(m).
-2*m**2*(m - 2)*(5*m + 2)
Factor 8/13 + 1226/13*z**2 + 1682/13*z**4 - 3132/13*z**3 + 216/13*z.
2*(z - 1)**2*(29*z + 2)**2/13
Let j(a) be the second derivative of a**5/135 - a**4/6 - 20*a**3/27 - a**2 - 21*a. Let v(p) be the first derivative of j(p). Factor v(h).
4*(h - 10)*(h + 1)/9
Let u(c) be the third derivative of c**5/120 - c**4/24 - 5*c**3/4 + 37*c**2 + 5. Suppose u(o) = 0. Calculate o.
-3, 5
Suppose -18*x - 5*x = -13*x + 8*x. Factor x - 6/7*u + 2/7*u**3 + 4/7*u**2.
2*u*(u - 1)*(u + 3)/7
Let q = 1604 - 1601. Let k(i) be the second derivative of 0*i**2 + 0 - 2/15*i**6 + 1/3*i**4 - 1/5*i**5 - 3*i + 2/3*i**q. Suppose k(s) = 0. Calculate s.
-1, 0, 1
Let r(p) be the second derivative of p**4/42 + 2*p**3/7 + 9*p**2/7 + 140*p. Determine s, given that r(s) = 0.
-3
Let t(f) be the third derivative of -f**5/100 - 27*f**4/40 - 6*f**2 - 3*f. Factor t(i).
-3*i*(i + 27)/5
Solve -6 | {
"pile_set_name": "DM Mathematics"
} |
ppose 10*f = 207 + 1193. Does 28 divide f?
True
Suppose -3*u + 9 = -18. Let s be u/36 + (-11)/(-4). Suppose -s*d - d = -96. Does 8 divide d?
True
Suppose 3*d = -3*z + 144, -2*d + 0*z = -4*z - 78. Is d a multiple of 12?
False
Suppose 2*l - 9 - 3 = 0. Let z be (2 - -1) + -4 + 4. Does 5 divide z/(1*3/l)?
False
Let a(p) = p**3 - 4*p**2 - 2*p + 7. Suppose -10 = z + z, -4*c = 4*z. Suppose -b = 3*h - c*b + 5, 0 = -2*h - 5*b + 35. Is 22 a factor of a(h)?
True
Let v = 10 + -12. Let c(r) = 18*r**2 + 1. Does 17 divide c(v)?
False
Let z be (-1)/(-1 - (-288)/291). Suppose -215 = -5*i + 4*a, -4*a = 2*i + i - z. Is i a multiple of 16?
False
Is 5 a factor of 1 - -2 - (6 + -6 + -17)?
True
Let q = -33 - -56. Does 16 divide q?
False
Suppose -g = -5*d + 18, 0 = -2*g + 3*d + 2*d - 11. Suppose 3*r = 1 + 5. Suppose -51 = -r*p - g. Is 10 a factor of p?
False
Is 11 a factor of (427/(-122))/(1 - (-14)/(-12))?
False
Let m = 146 - 24. Is m a multiple of 20?
False
Is 31 a factor of -4 + 6 + 1398/6?
False
Let t(k) = -k**3 + k**2. Let i(g) = -g**3 - g. Let p(a) = 4*i(a) - 5*t(a). Let d = -41 - -47. Is p(d) a multiple of 4?
True
Suppose 0 = -5*y + q, -5*y + 4*q = -10*y. Is 6 a factor of -3 - -28 - y - 0?
False
Is 22/(-143) + 732/26 a multiple of 7?
True
Let l = 43 - 67. Let m = l - -36. Does 4 divide m?
True
Suppose -26 = -4*h - 10. Suppose 2*o + 2 = h*v, -7*o = -4*v - 2*o + 17. Is (47 + v)*6/10 a multiple of 9?
True
Let n(y) = 71*y**2 - y + 1. Let a be n(1). Suppose -v + a = -7. Is 21 a factor of v?
False
Let x be 2*(117/2 + -4). Let s = -76 + x. Does 12 divide s?
False
Let u(f) = f - 4*f**3 - 2*f**2 + 3*f**3 + 3 - 1. Is u(-4) a multiple of 20?
False
Let i = 107 + -57. Does 10 divide i?
True
Let a be (8 - 1)*(-6 - -4). Let k = a + 21. Does 7 divide k?
True
Let v = -2 - -2. Suppose v = 5*a + 3*h + 12, -3*a + 0*h = 5*h + 4. Is 18 a factor of 122/(a - (-10)/2)?
False
Suppose -2*r = -2*a + 2*r + 148, -4*a + 2*r + 296 = 0. Let u = -34 + a. Is u a multiple of 22?
False
Suppose 0 = -s - 3 - 7. Let n be s/(-3)*(-3 - -6). Suppose -a + n = 4*a, -l + 26 = 3*a. Is l a multiple of 10?
True
Suppose 77 + 108 = 5*j. Let q = j + -22. Suppose 5*z - 2*z = 3*n - q, 5*n + 3*z - 17 = 0. Is n even?
True
Let p(k) be the first derivative of 5/3*k**3 + 1/2*k**2 + k - 2. Is p(2) a multiple of 8?
False
Let z(q) = -5*q - 19. Let y(f) = 2*f + 9. Let t(x) = -13*y(x) - 6*z(x). Is t(10) a multiple of 22?
False
Suppose -4 = 2*h - 6, -4*o = -2*h + 58. Let f = 23 + o. Does 2 divide f?
False
Let o(y) = 7*y - 2. Let m be o(4). Suppose -m = -2*j - 4*k, k - 24 = -3*j - j. Is 2 a factor of j?
False
Let q(d) = 9 + 0*d + 2*d + d**2 + 5*d. Is 17 a factor of q(-8)?
True
Let h be (-1)/((-2)/10) - -1. Let z be (-2)/6 + 20/h. Suppose 5*m - 22 = z*m. Is 11 a factor of m?
True
Let t(j) = j + 14. Let c be t(-9). Suppose 2*g - 3*h - 127 = -15, -2*g - 3*h = -100. Suppose b + 3*b = 3*p + 61, c*p = -3*b + g. Is 16 a factor of b?
True
Is (66/(-10))/((-17)/85) a multiple of 11?
True
Suppose 9*x - 7*x = l + 53, -3*l + 93 = 3*x. Is 7 a factor of x?
True
Is 29 a factor of 25/125 + 34/(-20)*-34?
True
Suppose 2*h + 22 = 3*h. Suppose r = -2*r - 6, 2*a - r = h. Does 7 divide a?
False
Suppose 5*v + 47 = 3*y - 80, 4*y + 3*v - 121 = 0. Let q = -17 + y. Is 6 a factor of q?
False
Let q(s) = s**2 + 3*s**3 - 4*s**3 + 3 - 3*s**3 - 2*s + 6*s**3. Does 19 divide q(2)?
True
Let x be -49 - (3/(-3) - 0). Let i = x + -51. Does 12 divide (4/12)/((-1)/i)?
False
Suppose 0 = 3*w + 3*n - 45, n = -6 + 3. Is 24 a factor of ((-24)/(-9))/(2/w)?
True
Let i(p) = -p**3 - p + 1. Let f be i(0). Let r = f - -3. Suppose -r*s = -s - 6. Is s a multiple of 2?
True
Suppose -c = 2*c + 18. Let k be 24/(-9) - (-4)/6. Does 12 divide k/((-4)/c) - -27?
True
Suppose -4*d = 3*q - 247, -3*q - 163 = -5*q - d. Does 29 divide q?
False
Let f = -3 - -5. Suppose f*s - 124 = -3*r + 17, s - 93 = -2*r. Is r a multiple of 15?
True
Let o = 499 + -346. Does 6 divide o?
False
Let c = 3 - 0. Suppose -2*m + 220 = -0*m + 4*l, -4*m - 3*l + 425 = 0. Suppose -c*g + 43 = -m. Is g a multiple of 18?
False
Let r(z) = z**3 + 3*z**2 - z - 1. Let w be r(2). Let u = w - 12. Suppose 2*q = -u + 37. Does 8 divide q?
True
Let s(r) = r**3 - 3*r**2 + 2*r. Let b = -5 - -7. Let h be s(b). Suppose 5*g = -2*a + 70, -4*g + 12 + 4 = h. Is a a multiple of 16?
False
Suppose 0 = t + 2*t - 9, y + 3*t - 39 = 0. Suppose 2 = 2*z - y. Does 16 divide z?
True
Let z(m) = -m**3 + 8*m**2 + 8*m - 8. Does 14 divide z(8)?
True
Suppose 34 = 3*w + 7. Let q = w + 22. Suppose 5*u - q - 89 = 0. Is 12 a factor of u?
True
Suppose -24 = -4*n - 8. Suppose -n*p - p + 75 = 5*y, -5*y = -3*p - 67. Does 11 divide y?
False
Let g = -27 - -37. Is 5 a factor of g?
True
Let c(n) be the second derivative of n**3/3 - 3*n**2 - n. Let x be c(6). Suppose 4*l - 4*z = 68, 4*z = -4*l + x*z + 76. Is l a multiple of 21?
True
Let m(s) be the first derivative of -s**4/4 + 7*s**3/3 + 5*s**2 - 7*s + 1. Suppose 15 = 4*v - 17. Is 9 a factor of m(v)?
True
Suppose -3*m + 128 = -2*j, 3*m - 75 = -4*j + 83. Let z be (m/(-3))/(5/15). Let x = z - -68. Is x a multiple of 8?
False
Let z = 21 - 27. Suppose 0*h = 2*h - 38. Let c = h + z. Does 13 divide c?
True
Suppose -3*s + 30 = 3. Suppose 1 = 5*u - t - s, -2*u - 2*t - 8 = 0. Is 10 a factor of (2 - -7) + (u - 0)?
True
Let b(j) be the first derivative of -j**4/4 + j**2/2 + 72*j - 2. Let u be b(0). Suppose 0*r = 3*r - u. Is 21 a factor of r?
False
Suppose -31 = -a + 2*f, -a + 3 = 2*f - 8. Is a a multiple of 5?
False
Is 13 a factor of (6/(-8) - (-69)/(-4))*-1?
False
Is 55 a factor of (2 - -53)*(0 + 5)?
True
Suppose -27 = 2*w + s + 4*s, 0 = 5*s - 25. Let z = -8 - w. Is 6 a factor of z?
True
Let k be 12*(-4)/((-8)/11). Let r = k - 36. Is r a multiple of 17?
False
Let c be 2*-1*40/(-16). Suppose -304 = -4*a + 5*h, -c = -2*a - 5*h + 147. Does 16 divide a?
False
Let r = -14 - -34. Suppose 3*v = 2*v + r. Let q = v - 10. Is q a multiple of 10?
True
Suppose 5*l = -d + 11, -5*d - 8 = 5*l - l. Let i(o) = 2*o**l + 4*o**2 - 3 + 3*o + o - 8*o**2. Is i(3) a multiple of 9?
True
Let u(b) be the first derivative of 3*b**3 - b**2/2 - 2*b - 4. Is u(2) a multiple of 8?
True
Is 1 - 4 - (-3 + -14) a multiple of 6?
False
Is 4 a factor of (-10)/25 - 126/(-15)?
True
Let d be (6/(-10))/(2/(-10)). Suppose o = -d*o. Suppose -2*r - 130 = -5*h + r, -2*h + r + 51 = o. Is 11 a factor of h?
False
Let k(v) = v**3 - 10*v**2 + 12*v - 15. Is k(10) a multiple of 15?
True
Suppose -a = 2*j + j + 54, -j + 2*a - 18 = 0. Let p be 1*3 - (j - -4). Let l = p + -1. Is l a multiple of 8?
True
Let u(h) = 3*h - 8. Let q(y) = 0*y**2 - 3*y**2 + y**2 + 8*y + y**2 + 6. Let o be q(8). Does 8 divide u(o)?
False
Let r(s) = s**3 - 5*s**2 + 3*s + 5. Let n be r(4). Is 13 a factor of (-1 - n)*65/(-2)?
True
Does 17 divide -1 + 2/9 + 592/9?
False
Let n(h) = h**3 + 5*h**2 - 8*h - 9. Let g be n(-6). Suppose 132 = g*d + d. Is d a multiple of 12?
False
Suppose 5*x + t - 504 = 0, -4*x - 2*t + 408 = -0*x. Suppose -2*s = q - 5*q - x, 5*q = -10. Suppose 4*l - s = -3*g - 5, 4*l - 20 = 0. Is g a multiple of 2?
False
Let f(b) = -3*b + 1 + 4*b + b + 34*b**2 - b. Is 17 a factor of f(-1)?
True
Is ((-108)/(-63))/(4/98) a multiple of 8?
False
Let s be (-9)/3 - (2 - 115). Is 18 a factor of (-6)/(s/38 - 3)?
False
Let w(u) = u**3 - u**2 - 4. Let f be (-3)/(-6)*-3*-2. Does 7 divide w(f)?
True
Let z be (-16 - (-3)/(-3)) + 1. Let u = z - -39. Is u a multiple of 14?
False
Suppose 34*k - 37*k + 1092 = 0. Does 43 divide k?
False
Suppose -6*a + 605 = -445. Does 9 divide a?
False
Suppose -5*j + 235 + 140 = 0. Is 10 a factor of j?
False
Let z(f) = 2*f**3 - 3*f**2 + 2*f - 1. Let q be z(2). Let v = q + 1. Is 8 a factor of v?
True
Is (826/(-42))/(0 + 2/(-6)) a multiple of 26?
False
Let n(i) = 5*i**2 - 4*i + 6. Let l be n(4). Does 2 divide (-20)/l - (-23)/7?
False
Is (-92)/(-8) + (-4)/8 a multiple of 8?
False
Let x be 1/3 - (-115)/(-3). Let t = -27 - x. Is 9 a factor of t?
False
Let z be (-2)/(-4) - (-46)/4. Suppose 0 = h - 0*h - z. Let i = 44 - h. Is i a multiple of 10?
False
Let n = -12 + 19. Is n a multiple of 7?
True
Let h(n) = -n**2 + 6*n + 7. Let l be h(7). Suppose -x + l*x + 100 = 5*p, 5*p - 2*x - 100 = 0. Suppose -6*i + i = -u + 6, 5*i = p. Is u a multiple of 13?
True
Let t(g) be the third derivative of 7*g**4/ | {
"pile_set_name": "DM Mathematics"
} |
the third derivative of d**6/1260 + 23*d**5/210 + 15*d**4/28 + 101*d**3/3 + 4*d**2 + 3. Let k(v) be the first derivative of r(v). Factor k(z).
2*(z + 1)*(z + 45)/7
Let m(x) be the second derivative of 2*x**6/45 - 12*x**5/5 + 358*x**4/9 - 136*x**3 + 578*x**2/3 - 5*x - 53. Determine q, given that m(q) = 0.
1, 17
Solve 5*b**2 - 5*b**3 + 16*b**2 + 74*b + 11*b + 75 - 16*b**2 = 0.
-3, -1, 5
Let w be (-13)/(572/24) + 1552/264. Solve 8/3*y + w - 20/3*y**2 + 2*y**3 = 0.
-2/3, 2
Let w = -385 + 587. Suppose -4*i - w = -4*c + i, -5*i - 154 = -3*c. Let -211*q**3 - 112*q**2 - c*q**4 - 92*q**4 - 16*q - 10*q**3 - 15*q**3 = 0. What is q?
-1, -2/5, -2/7, 0
Let d = 7 + -5. Let r = 2884 + -2789. Factor 53*h**2 - r*h**d + 45*h**2.
3*h**2
Let z(d) be the second derivative of -5/6*d**4 + 9/4*d**5 + 0*d**3 - 2*d**6 + 25/42*d**7 + 32*d + 0*d**2 + 0. Suppose z(g) = 0. What is g?
0, 2/5, 1
Suppose 0 = -3*l + 2*l + 16. Factor 192 - 11*s + l*s + 54*s - 11*s + 3*s**2.
3*(s + 8)**2
Let t(y) be the third derivative of y**5/15 + 35*y**4/3 - 1274*y**3 - y**2 - 195*y - 3. Suppose t(l) = 0. Calculate l.
-91, 21
Let n be (26/(-39)*(-10)/(-9))/((-33)/99). Find s, given that -2*s**2 - 2/9 + n*s = 0.
1/9, 1
Let m be ((-7052)/287)/43*(-7)/6. Factor -2/3*j + 4/3*j**3 - 2/3 - m*j**5 - 2/3*j**4 + 4/3*j**2.
-2*(j - 1)**2*(j + 1)**3/3
Let s = -99581 - -99586. Determine o so that -o**s + 0*o - 5/4*o**4 + 0 + 0*o**2 - 1/4*o**3 = 0.
-1, -1/4, 0
Let f(b) be the second derivative of -b**6/180 - b**5/24 + 13*b**4/72 - 7*b**3/36 + 10*b + 6. Find q, given that f(q) = 0.
-7, 0, 1
Factor 1314/5*j**2 - 3036/5*j + 132/5*j**3 + 3/5*j**4 + 1587/5.
3*(j - 1)**2*(j + 23)**2/5
Let q(h) be the first derivative of 0*h**2 + 0*h + 5/3*h**3 + 5/2*h**4 + h**5 - 22. Find p, given that q(p) = 0.
-1, 0
Let w = 18131/2 + -9065. Let s(t) be the first derivative of 3/4*t**3 - 1/20*t**5 + 17 + 0*t**4 - w*t**2 - 3*t. Solve s(g) = 0 for g.
-3, -1, 2
Suppose 72*n - 436 + 4 = -4*n - 140*n. Factor 3/7*s**n + 78/7*s + 0.
3*s*(s + 26)/7
Let z(r) be the third derivative of -27*r**6/10 + 1284*r**5 + 4283*r**4/6 + 476*r**3/3 + 2*r**2 + 28*r + 7. Determine k, given that z(k) = 0.
-1/9, 238
Let f(a) be the third derivative of -a**5/15 - a**4 + 14*a**3/3 - 467*a**2. Factor f(n).
-4*(n - 1)*(n + 7)
Let b(v) be the third derivative of -1/100*v**5 - 4/5*v**3 - 3/20*v**4 + 7*v + 3*v**2 + 0. Solve b(f) = 0 for f.
-4, -2
Solve 0 + 5/4*x**2 + 195/4*x = 0.
-39, 0
Let k(n) be the second derivative of -n**4/24 + 85*n**3/12 - 273*n**2/2 - 3*n + 127. Factor k(o).
-(o - 78)*(o - 7)/2
Factor 1515/2*v + 3/2*v**2 - 759.
3*(v - 1)*(v + 506)/2
Let v(h) be the third derivative of h**6/20 + 607*h**5/20 + 303*h**4/8 + 383*h**2. Let v(t) = 0. What is t?
-303, -1/2, 0
Let n(r) = -3*r**2 + 15836*r - 12561127. Let p(i) = 23*i**2 - 126681*i + 100489017. Let d(w) = 17*n(w) + 2*p(w). Suppose d(l) = 0. What is l?
1585
Suppose -3111*d + 3086*d = -50. Factor -2 + 2/3*o + 2*o**d - 2/3*o**3.
-2*(o - 3)*(o - 1)*(o + 1)/3
Find d such that 220/17*d + 2/17*d**2 + 218/17 = 0.
-109, -1
Let m(v) be the second derivative of -v**5/10 + 73*v**4/3 - 6097*v**3/3 + 53868*v**2 - 4310*v. Suppose m(f) = 0. Calculate f.
12, 67
Let u(s) = 8*s - 54. Let j be u(7). Factor -18 - 2048*k**4 + 508*k**2 - 348*k - 41*k**2 - 1765*k**j + 3712*k**3.
-2*(k - 1)**2*(32*k + 3)**2
Factor -1106/5 + 146/5*a**2 + 2/5*a**3 - 962/5*a.
2*(a - 7)*(a + 1)*(a + 79)/5
Let w be 0/(-13)*(-2)/(-4) - -4. Let h(z) be the first derivative of -z**w + 0*z + 0*z**2 + 4/3*z**3 - 2. Factor h(c).
-4*c**2*(c - 1)
Let y(o) be the second derivative of 0*o**3 - 1/90*o**5 + 1/72*o**4 + 1/360*o**6 + 0 + 1/2*o**2 - 8*o. Let h(a) be the first derivative of y(a). Factor h(u).
u*(u - 1)**2/3
Let m = 730/873 - 4237/6111. Factor 1/7*w + 0 + 2/7*w**2 + m*w**3.
w*(w + 1)**2/7
Let b(j) be the first derivative of 2*j**3 - 123 - 54*j**2 + 21*j + 11*j - 2*j**2 + 7*j**2. Solve b(n) = 0.
1/3, 16
Let l(v) be the third derivative of -v**6/120 - 19*v**5/60 + 145*v**4/24 - 125*v**3/6 - 1422*v**2. Determine q, given that l(q) = 0.
-25, 1, 5
Suppose 39*m + 39*m - 4*m = 222. Let p(l) be the first derivative of -l**2 + 8*l - 1/3*l**m - 11. Factor p(k).
-(k - 2)*(k + 4)
Let j(t) be the first derivative of -4*t**4 - 64/3*t**3 + 4*t**5 + 64*t**2 - 64*t - 12 - 2/3*t**6. Factor j(x).
-4*(x - 2)**3*(x - 1)*(x + 2)
Let g(s) be the second derivative of 1/90*s**6 + 49/36*s**4 + 122*s + 0 + 1/4*s**5 + 19/6*s**3 + 11/3*s**2. What is u in g(u) = 0?
-11, -2, -1
Suppose -11*y + 44*y + 100*y + 55*y = 5*y. Determine i so that 2/5*i**2 - 8/5*i**4 - 6/5*i**3 + y + 0*i = 0.
-1, 0, 1/4
Let w be (-42904)/(-5190) - (14 - -2)*3/6. Let m(p) be the first derivative of 27 + 16/9*p**3 + 0*p**2 - 1/9*p**6 + 2/3*p**4 + 0*p - w*p**5. Factor m(i).
-2*i**2*(i - 2)*(i + 2)**2/3
Solve 9/5*w**2 - 36/5 - 32*w = 0 for w.
-2/9, 18
Let l(s) be the third derivative of -s**5/15 - 215*s**4/3 - 1094*s**2. Find y, given that l(y) = 0.
-430, 0
Let c(u) = -15*u**3 - 2*u**2 - 14*u - 11. Let p be c(-1). Suppose 10 = 5*i - 10. What is s in 3*s**4 - 2*s**4 - 5*s**i + 12*s**3 - p*s = 0?
-1, 0, 2
Let h(d) be the second derivative of -7/12*d**3 + 7/40*d**5 + 1/4*d**2 - 41*d - 1/24*d**4 + 0. Find c such that h(c) = 0.
-1, 1/7, 1
Let q(b) be the first derivative of 0*b + 59 - 4/3*b**3 + 26*b**2. Factor q(n).
-4*n*(n - 13)
Suppose 53*y - 12832 = -12726. Suppose 1/2*q**3 - 9 + 2*q**y - 3/2*q = 0. Calculate q.
-3, 2
Let v(b) be the first derivative of -2*b**3/9 - 436*b**2 - 5758. Suppose v(t) = 0. Calculate t.
-1308, 0
Let s(n) be the second derivative of 3/4*n**3 + 1/20*n**6 + 0 + 0*n**2 + 42*n - 1/8*n**4 - 9/40*n**5. Factor s(b).
3*b*(b - 3)*(b - 1)*(b + 1)/2
Let u be (-12)/30 - ((-111)/15 + 2). Factor -13983*h - 13039*h - 3465*h + 3550*h - 732*h**2 - 10658 - u*h**3.
-(h + 73)**2*(5*h + 2)
Factor -216/7 - 150/7*i**2 + 316/7*i + 3*i**3 + 1/7*i**4.
(i - 2)**3*(i + 27)/7
Factor 0*p**2 - 6*p**3 - 1/6*p**5 + 13/6*p**4 + 0 + 0*p.
-p**3*(p - 9)*(p - 4)/6
Let m(v) = -v**3 + 20*v**2 - 27*v + 154. Let f be m(19). Let g(o) be the first derivative of 6*o**f + 0*o + 8/3*o**3 + 7 - o**4. Factor g(i).
-4*i*(i - 3)*(i + 1)
Let c be (-2412)/(-21440) + 3/16. Let r(o) be the first derivative of 24 + c*o**2 + 0*o + 3/20*o**4 + 2/5*o**3. Factor r(y).
3*y*(y + 1)**2/5
Suppose 314928 - 1296*y + 4/3*y**2 = 0. What is y?
486
Let n(a) be the first derivative of -2*a**3/11 + 210*a**2/11 - 1206*a/11 + 5251. Find i such that n(i) = 0.
3, 67
Factor -1198*a - 128 + 5 - 59 + a**2 + 1109*a.
(a - 91)*(a + 2)
Let k(l) = 2*l**3 + 21*l**2 + 9*l - 9. Let w be k(-10). Let t be (w/4)/(220/528). Solve 0 + 6/5*h**2 + 3/5*h**3 + t*h = 0 for h.
-1, 0
Let y(f) be the second derivative of -f**4/48 - 145*f**3/24 + 4194*f. Factor y(i).
-i*(i + 145)/4
Let t(c) be the first derivative of -54 - 961/2*c - 1/6*c**3 - 31/2*c**2. Factor t(m).
-(m + 31)**2/2
Factor -317394/5*n + 154551/5*n**2 + 2748/5*n**3 + 12/5*n**4 + 160083/5.
3*(n - 1)**2*(2*n + 231)**2/5
Let j(s) = 6*s**3 + 268*s**2 + 166*s - 90. Let n(g) = -6*g**3 - 266*g**2 - 166*g + 89. Let l(q) = -5*j(q) - 6*n(q). Solve l(m) = 0.
-42, -1, 1/3
Let q(r) = -31*r**2 + 107 + 11*r + 2*r**3 - 13*r**3 - 88. Let v(m) = 23*m**3 + 63*m**2 - 23*m - 37. Let w(k) = -13*q(k) - 6*v(k). Factor w(d).
5*(d - 1)*(d + 1)*(d + 5)
Let p be -17 + 17 - 2/(-8). Let o = -211/4 + 53. Solve -o*a**2 + p*a + 0 = 0 for a.
0, 1
Suppose 4*m - 4 = 0, -3*m + 8 + 10 = 5*a. Factor 0*d**5 - 80*d - 125*d**2 + 8*d**5 - 6 - 14 - 35*d**4 - 13*d**5 - 95*d**a.
-5*(d + 1)**3*(d + 2)**2
Let p = 33077/21 - 1575. Let w(h) be the second derivative of 0*h**2 - p*h**3 + 0 - 1/21*h**4 + 27*h. Factor w(j).
-4*j*(j + 1)/7
Find n, given that 47916 + 2178*n + 33*n**2 + 1/6*n**3 = 0.
-66
Let w(c) be the third derivative of c**7/42 - 3*c**6 + 851*c**5/6 - 3045*c**4 + 206045*c**3/6 - 5181*c**2. Factor w(x).
5*(x - 29)**2*(x - 7)**2
Let c(f) be the first derivative of 96/7*f**2 - 25/21*f**6 + 36 + 38/7*f**4 - 18/7*f**5 + 352/21*f**3 + 32/7*f. Let c(h) = 0. What is h?
-2, -1, -2/5, 2
Let w = -6742/45 - -1352/9. Let d(c) be the first derivative of w*c**3 + 0*c + 0*c**2 - 1/10*c**4 - 11. Factor d(i).
-2*i**2*(i - 3)/5
Suppose -2*m - 5*a + 19 = 0, m = -4*m - a + 36. Suppose 3*u - 8*u = m*u. Factor 0*k + 0*k**2 + 2/9*k**3 + u.
2*k**3/9
Let x(o) be the th | {
"pile_set_name": "DM Mathematics"
} |
, -4*o = -2*g. Solve -3*i = 2*s + o, 4*i + 7*s = 3*s - 4 for i.
0
Let q = 29 - 23. Solve q = -2*h, -4*l + l = -2*h - 3 for l.
-1
Let b = 4 - 7. Let j(m) = -m**3 - 3*m**2 + 2. Let f be j(b). Suppose -4*x + 1 + 15 = -f*i, 4*x - 14 = i. Solve -c = x*v - 4 - 2, 0 = -3*v + 4*c - 9 for v.
1
Let i = 2 + -2. Solve 2*j + 1 + i = -r, 1 = 3*j - r for j.
0
Suppose t + 3*t + 84 = -4*v, 4*v + 108 = -5*t. Let p = t - -26. Solve -r = p*w - 9, 0*w - 5*w + r = -26 for w.
5
Suppose -5*a + 2 + 8 = 0. Let k be 2/10 - 2496/(-20). Suppose -4*g + a*g - 5*d + 50 = 0, 5*g = 3*d + k. Solve 5*h = -g, o + 2*h + 12 = -0*h for o.
-2
Suppose 3*o + 35 = 2*g, -3*g + 5*o = -2*g - 21. Solve 0 = -n + 4*h - g, -2*h + 4 = -4*n - 6*h for n.
-4
Let k be (99/(-22))/((-3)/8). Solve 7 = -5*r - t - 6, k = -4*t for r.
-2
Suppose 0 = 2*j - 0*j + 4. Let l be 2 + (-12 - 1*j). Let h = 11 + l. Solve -h*f + 5*v = -12, f + 0*f - 4 = 5*v for f.
4
Suppose 2*n - n = 16. Solve 3*a - 2*o - n = 5*a, 0 = -o - 4 for a.
-4
Let p(x) = 6*x + 2 + 9*x - 14*x - 5. Let i be p(6). Let g = 7 - 4. Solve -3*o - 6 = u + g, 0 = 3*u - i*o + 3 for u.
-3
Let t = -3 - 2. Let h = 18 - 25. Let y = t - h. Solve -5*b - 18 = 3*g, -3*g - 10 - y = 3*b for b.
-3
Let i be (-2)/5*(-53 + 3). Solve k - 5*c = 15, -k - k + 5*c = -i for k.
5
Let a(q) = q - 2. Let z be a(6). Suppose 4*t + o = t + 2, 2*t + z = 2*o. Solve d - 5*k - 23 = t, 3*d - k + 1 = -0*d for d.
-2
Let m(o) = -7*o**2 - 15*o - 13. Let l(t) = -6*t**2 - 15*t - 12. Let i(f) = -6*l(f) + 5*m(f). Let v be i(-16). Solve 0 = -y - 4*h - 8, -h - v = 5*y + 2*h for y.
-4
Let p be (-9)/(-6)*(1 - -1). Suppose 0 = p*w + b - 45, 3*b + b + 16 = 2*w. Let m be 74/14 - 4/w. Solve -4*d = -d + a + 13, m*d = 5*a - 15 for d.
-4
Let r be (2/6)/(9/81). Solve o - 17 + 5 = -3*s, -4*s = r*o - 16 for s.
4
Suppose 0 = -2*a + 8 + 2. Let o be -2 + ((-1)/1 - -63). Let v be (8/(-20))/((-3)/o). Solve 2*n = a*w, -w = 4*n + 14 + v for n.
-5
Let d be 216/21 + (-2)/7. Let b(s) = -s**2 + 11*s - 8. Let o be b(d). Solve -5*r - 10 = 4*y, -5*y + o*r + 2 = -2 for y.
0
Let d = 168 - 139. Solve -2*k + m - 5*m - 12 = 0, 0 = -k + 5*m + d for k.
4
Suppose 5*x = 2*x + 15. Let k = 18 + -7. Suppose 3*o - 77 + k = 0. Solve 2*v + 9 = x*w + 39, 3*w = 2*v - o for v.
5
Let y be ((-2)/(-4))/((-2)/24). Let m(d) = -d**3 - 5*d**2 + 6*d + 3. Let s be m(y). Suppose -5*h + 125 = -0*h. Solve 0 = -5*j - h, -s*j - 4 = -4*n + 11 for n.
0
Let f = 7 + -5. Solve -4*p + 17 = m - 4*m, -8 = -p + f*m for p.
2
Suppose -18 = -i + 3*i. Let j = 9 + i. Solve j*a = -3*m - 2*a - 11, 4 = 2*a for m.
-5
Let u be (-190)/(-6)*(11 - 8). Suppose 5*k + 4*t - 3*t - 127 = 0, -3*t = 4*k - u. Solve 0 = -i - 3*y - 8, -4*i - k = i + y for i.
-5
Suppose 7 + 1 = 2*p. Suppose -28 = -p*t + r - 2*r, r + 4 = 0. Solve w = 2*s + 7, -4*s - t = -3*s + 4*w for s.
-4
Suppose -a + 4*h - 20 + 64 = 0, 5 = -h. Let s = a + -16. Suppose s*f - 4*f - 8 = 0. Solve -f*z - m = m, z = -3*m - 2 for z.
1
Suppose -k = -2*k + 2. Suppose -s + 5 = -0*s. Suppose s*u = -4*p + 2*p + 18, u - 14 = -3*p. Solve -5*b + p*y = 12, 4*b - k = 3*y - 12 for b.
-4
Let c = 11 - 7. Suppose -10*z - 47 + 47 = 0. Solve 4*k - p + 10 = z, 4*k = -c*p - 6 - 14 for k.
-3
Suppose -8 + 23 = 5*r. Solve -v = -2*d - 2*d + r, 2*d = 5*v - 21 for v.
5
Let k be (-32)/(-56) - 48/(-14). Solve -5*g = k*c - 2*g - 6, 8 = -4*g for c.
3
Let a = -30 - -18. Let o be (-16)/6*18/a. Solve 25 = -l - o*i, 0 = -0*i - i - 5 for l.
-5
Suppose -j + 12 = -0*j - 3*a, j + 2*a = 27. Solve -5*k = -4*o - j, 22 + 6 = 5*k + 3*o for k.
5
Let b = 29 - 49. Let i = b - -23. Solve -5*y + 30 = -i*n - 2*n, -3*y = 5*n + 6 for n.
-3
Let y(d) = -d**3 + 7*d**2 - 7*d + 9. Let f be y(6). Suppose -3*b + 5 = 29. Let k be (f/(-2))/(3/b). Solve -v = w - 0*w - k, -2 = -3*v + 2*w for v.
2
Let f be (3 - 1/1) + 2. Solve w + f*v + 14 = -w, 0 = -4*w - 3*v - 8 for w.
1
Suppose -w - z - 16 = 0, 0*w + 49 = -4*w - z. Let o = -11 - w. Let k = 7 + -2. Solve -4*t - 2*h + 10 = o, 11 = t + k*h - 14 for t.
0
Suppose 4*r + 8 = 0, 5*g - 14 + 2 = r. Solve -g*n + 22 = -7*n + 4*v, -2*n - 5*v = -11 for n.
-2
Suppose 2*h = 5*h + 69. Let r = 36 + h. Let t = r + -7. Solve -v + 4 = -n, 3*v - t = -0 for n.
-2
Let i = 16 - 10. Let v = i - 3. Solve -v*m = z - 3, 0*z + 5*m = -z + 7 for z.
-3
Suppose 19 = 4*a + 7. Solve 5*f = -j + 4, a*f + 20 = 4*j + j for f.
0
Suppose -4*u + 31 = -5*o + 8*o, 5*u = 4*o. Solve -6 = 2*z, -u*l - z + 3*z = -26 for l.
5
Let l = 3 - -4. Solve 0*q - 26 = q + 5*x, 0 = 3*q - 2*x - l for q.
-1
Let r(n) = 6*n + 27. Let a be r(-4). Solve k + a*k + 12 = -4*b, -5*b + k = 3 for b.
-1
Suppose k + 3*k - 24 = 0. Let g be ((-6)/k)/(-1*1). Let m be (-2)/3*(-2 - g). Solve 0 = 5*j + 3*v - 9, -4*j + m*v - 5*v + 6 = 0 for j.
3
Let i(u) = u**2 - 8*u - 3. Let q be i(8). Let p = 5 + q. Solve p*r = 2*h + 3*h - 18, -h - 2 = r for r.
-4
Let v be (-5)/((-15)/(-36))*-1 + 0. Solve -y - v = 3*k, -6*k + 5*k + 2*y + 3 = 0 for k.
-3
Let k(f) = f**2 + 1. Let q be k(2). Let b be 8/12 - 4/6. Solve b = -w, 2 = -q*c - 3*w - 13 for c.
-3
Let n = 1 + 15. Solve -f - 2*l = 1, 4 - n = 5*f + 3*l for f.
-3
Let v(l) = -l**2 - 2*l + 3. Let t be v(0). Solve t*u = -u - 2*g + 10, 4*u = -3*g + 15 for u.
0
Suppose -2*k = -2*r + 6 + 142, 3*k = -r + 82. Let m = -51 + r. Solve 3*t + c = 3 + 5, -m = -5*c for t.
1
Let f(u) = 2*u**2 - 8*u - 23. Let c be f(6). Solve 3*d + d = -b + c, 0 = 5*b - 4*d - 29 for b.
5
Let w(t) = -t**2 + 9*t - 2. Let j be w(8). Suppose -j*y - 40 = -y. Let i be 8/y - 16/(-2). Solve h = g + 3, -3*h - 8 = -i*h for g.
-1
Let b(y) = -2*y**3 + 2*y**2 - 1. Let u be b(1). Let z = u - -1. Suppose z = 5*t - 2 - 8. Solve 4*r + 8 = 3*p, -p + r = 1 - t for p.
-4
Let l be (-3)/(45/(-12))*-5. Let a(h) = h**3 + 4*h**2 - h - 1. Let b be a(l). Solve -2*o + 5*o = 5*c, -b*c = 0 for o.
0
Suppose -8*t + 28 = 4. Solve 0 = -3*f + 3*z - 15, 4*z = -4*f - t + 15 for f.
-1
Suppose -2*s - 6 = -4*s, 2 = -a + 2*s. Solve d - 21 = a*f - 0*d, 2*d = 2 for f.
-5
Let w = 37 + -35. Solve 0*z + w*z = 2*y + 6, 5*z - 3*y - 11 = 0 for z.
1
Suppose 2*q + 5*t - 9 = 0, -4*q + 5*q - 4*t = -2. Suppose q*b = -0*b. Solve -3*s - 3*l - 2*l - 15 = b, 2*l + 6 = s for s.
0
Let u(v) = v**2 + 1. Let t be u(1). Let b be ((-2)/(-8))/(t/16). Solve -b*h + 3 = 2*p - 3, -5*p - 3*h + 17 = 0 for p.
4
Let t(c) = -c**3 - 8*c**2 - 9*c - 10. Let z be t(-7). Let l = 3 - 0. Solve 3*i = z*q + 6*i - 11, -10 = -l*q - 4*i for q.
2
Let f be (26/(-4))/(5/(-10)). Suppose 2*c - 2*i = -1 - 1, 3*c + i - f = 0. Let m be (-7 + 4)/(6/(-16)). Solve 2*v - m = 4*z, 3*v + c = -2*z + 3*z for z.
-3
Let p(s) = s + 1. Let m be p(1). Suppose 0 = 5*o - 22 + m. Solve 2*c - o = 4*r - 2, 6 = -4*c + 3*r for c.
-3
Let f be (-465)/(-20) - (-2)/(-8). Suppose -f = -5*t - 3. Solve 4*n + 20 = -t*p, -4*p + 3 = -4*n + 23 for n.
0
Suppose -10 = -4*n + 6. Solve s - 6 = n*s + 5*v, 3*v = -9 for s.
3
Let w(m) = -2*m**3 - 4*m**2 + m - 2. Let k be w(-3). Solve -7 = 2*f + 1, 3*s = f + k for s.
3
Suppose 2 = 4*z + 3*v, 3*z - 16 + 0 = 5*v. Let x be (-3 + 1 + z)*-1. Solve 2*b - 3*f + 9 = -x*b, -5*b + 3 = f for b.
0
Let i = -2 - -7. Let x = -4 + 4. Let t = 15 + -9. Solve t*g + 5*w - 8 = 3*g, i*w - 20 = x for g.
-4
Suppose 2*b - 24 = -2*n, 2*b + b - 5*n = 60. Let m = 30 - b. Solve -i - 14 = -3*w, -4*w = -6*i + i - m for i.
1
Suppose 5*k - 12 + 2 = 0. Suppose -k*j = -7*j - 30. Let c = 0 - j. Solve 0 = o - 4*p - 2, c*o - p + 5 = 3*o for o.
-2
Suppose 10 = 5*i - 10. Let c(n) = n**2 - 4*n. Let l be c(i). Solve l = 5*h + 3*v + 1, 2 - 1 = 3*h + v for h.
1
Suppose -q - 1 - 3 = h, -13 = 2*q + 3*h. Solve -5*c + 10 = 5*p, -q = p - 0*p + 2*c for p.
5
Suppose 0 = 8*a - 11*a + 6. Suppose 0 = -3*z + 9, 0*h - 15 = -h - 4*z. Solve 10 = u + 4*v, -h*u - 7 = -v + a for u.
-2
Let m = -17 - -20. Solve -21 = -5*g - 3*t, 3*g - 4 + m = 4*t for g.
3
Let a = 10 - 7. Let s(j) = 28*j + 202. Let u be s(-7). Solve 4*g - 12 = -n, a*n + 2*g = -0*n + u for n.
0
Let i(b) = b**3 + 6*b**2 - 8*b - 7. Let y be i(-7). Suppose 3*r + 4*l - 2 = 7, y = -3*l. Solve r*s - 6*s - 9 = 0, -2*a + s = -13 for a.
5
Let k = -6 - -12. Let p = -3 + k. Solve -p*v + 18 = -2*s, -3*s + 0 - 5 = v for s.
-3
Let n be 4 - (3 + 2 + 0). Let s be n + (2 - -5) + -3. Solve -s*d + 10 = r, -5 = d - 3*d + r for d.
3
Suppose -2*k + 4*b = -2 - 30, 5*b = 0. Solve k = -4*a + 4*u, -3*a - | {
"pile_set_name": "DM Mathematics"
} |
Let v be (-6)/(-4) + (-10)/(100/(-105)). Suppose 7*j - 3*j - v = 0. Solve 1 = -j*x - 5 for x.
-2
Suppose -9 = -2*g + 1. Suppose -u - 4*u = -g. Let w = -1447 + 1454. Solve -4*x - w = u for x.
-2
Let u(q) = -q + 9. Let w be u(7). Let y(h) = -1 + 4*h - 4 - h - w*h. Let i be y(7). Solve -n - n - i = 0 for n.
-1
Suppose 286*u - 281*u - 30 = 0. Let l be -1 + 2 + (-2 - -6). Solve -l*q + u = 1 for q.
1
Suppose 106 = -4*m + 26. Let c = m - -26. Solve c + 0 = -3*l for l.
-2
Suppose 4*w = 2*w + 6. Suppose w*t = 4*t + 2. Let b be (t/3)/(1/(-6)). Solve h = -0*h - b for h.
-4
Let w(x) = -x**3 + 6*x**2 - 4*x + 3. Let k(y) = y**3 - 5*y**2 + 5. Let m be k(5). Let q be w(m). Solve 5*c = c + q for c.
2
Let o = 13 + -20. Let z = 13 + o. Let c(w) = w**2 - 6*w + 2. Let b be c(z). Solve 0 = 2*x - 10 + b for x.
4
Let n(d) = d**3 + 26*d**2 - 3*d - 62. Let o be n(-26). Solve 0 = o*q - 9*q + 21 for q.
-3
Suppose 0 = 5*y - 10*y + 60. Suppose -y = -4*x - 4. Solve -2*m + x = 12 for m.
-5
Suppose 0 = 3*r + r - 16. Suppose -40*b = -38*b - 2*a - 30, 0 = 4*b + 3*a - 60. Solve r*j + b + 1 = 0 for j.
-4
Suppose -2 = -l - 3*c + 2*c, -2*l + 10 = 5*c. Solve l = -26*a + 9*a - 34 for a.
-2
Let a(y) = y**2 - 4*y + 2. Let r be a(4). Let g = 15 + -6. Let w be (-8)/4 + 2 + g. Solve w = -r*i + 5*i for i.
3
Let q(w) = w + 1. Let c(j) = -j. Let a(z) = -3*z - 2. Let h(x) = -a(x) + 2*c(x). Let v(p) = 7*h(p) - 6*q(p). Let f be v(-4). Solve -f = 3*d - d for d.
-2
Let y(i) = -5*i - 2. Let a(v) = -2*v**2 - 2*v + 2. Let l be a(-2). Let r be y(l). Suppose z - 7 = r. Solve -2*t = -5*t + z for t.
5
Suppose 4*i = 4*b, -3 = -2*i - 1. Suppose 5*z = 3*w + b + 3, -4*w = 3*z - 14. Suppose -2*m = -4*q + 2*m, -w*m = 4*q - 18. Solve 0 = -0*g + q*g + 6 for g.
-2
Suppose -c - 24 = -3*c. Let d be 5 - 0/(c/4). Let g be (4/(-3))/((-4)/6). Solve -g*w - 5 = d for w.
-5
Suppose -7*c - 354 = -60. Let v = 42 + c. Let n(f) = f + 8. Let t be n(-5). Solve v*y = -t*y for y.
0
Suppose 0 = d + 182 - 187. Suppose 10*y - d*y = 0, -2*x = 4*y. Solve x*i + 25 = 5*i for i.
5
Let s(t) = 2*t + 11. Let d be s(-5). Let u be 0*2*d/(-2). Suppose -4*z - 27 = -q, -5*q + 25 = 3*z - z. Solve 4*a + q + 9 = u for a.
-4
Let m = 43 - 37. Suppose -m*u = -1 + 1. Solve u*p = p - 5 for p.
5
Let f(g) = -g**2 + 49*g - 406. Let x be f(11). Suppose l + 2*l - 18 = 0. Let b = -3 + l. Solve 3*j + x - b = 0 for j.
-3
Suppose 4*s - 5*r + 3 = 2*s, 90 = -5*s - 4*r. Let i = -12 - s. Solve t + i*t - 6 = 0 for t.
2
Suppose q + 4 = -2*s, -6*s + 9*s = -3*q. Solve -4 = 2*i - q*i for i.
2
Let n(h) = h**2 - 8*h + 5. Let r be n(7). Let l(u) = -2*u**2 + 2. Let x be l(r). Let z = -4 - x. Solve 7 + 1 = -z*s for s.
-4
Let f(q) = -q - 13. Let h be f(-14). Let k be (-3 - -3)*(h - 3/2). Solve b + 5 = -k*b for b.
-5
Suppose 10*x = 7*x. Suppose -3*j + 5*j - 4 = x. Solve -j*f + 3*f = 4 for f.
4
Suppose 6 = 6*y - 0*y. Solve y + 2 = -3*f for f.
-1
Let m be (-1 - 5)*(-2)/6. Let d(q) = 3 + 3*q**2 + m*q**2 - 3*q - 2*q**2. Let w be d(3). Solve w = -5*o + 6 for o.
-3
Let m = 15 - -7. Let f = -21 + m. Suppose -o + f + 1 = 0. Solve -z + 4 = o for z.
2
Let x = -291 - -291. Solve -r + 2*r = x for r.
0
Suppose -5*y = -3*x - 3, 0*x + 3 = 2*x - 5*y. Let i(z) = 2*z + 19. Let p be i(x). Solve p - 4 = -f for f.
-3
Suppose -32*o + 962 = -19*o. Solve o*c - 71*c - 12 = 0 for c.
4
Suppose -7*v = -4658 + 4518. Solve 16*w - 11*w + v = 0 for w.
-4
Let l = 2 - 12. Let y be 4/l - 162/(-30). Let f = 17 - y. Solve -f = 4*s - s for s.
-4
Let w(u) = 5*u + 30. Let n be w(-6). Let d be n*(-4)/12 + 5. Solve -2*q + 7*q + d = 0 for q.
-1
Let f(b) = -b**3 - 6*b**2 + 7*b + 3. Let t be f(-7). Suppose 2*z - 4*q = 1 + 5, 3*q + 12 = t*z. Solve -o + 0 = -z for o.
5
Let h(p) = 5*p - 15. Let f be h(3). Let n be (-1)/(4/(-16)*-4)*f. Solve n = -3*y - 2*y + 10 for y.
2
Suppose 25 - 19 = 6*a. Solve 7 = 6*r + a for r.
1
Let t be (-3)/24*-6*4. Let x = 16 + 4. Suppose -x = -0*b + 4*b, t*s + 9 = -3*b. Solve 3*z + 5 = -s*z for z.
-1
Suppose -3*s + 5*j + 37 = 0, -3*j + 0 = -3. Solve 6*k + 24 = s*k for k.
3
Suppose -109*b + 888 = 2*b. Solve 20*n = 24*n + b for n.
-2
Let f(x) = -48*x + 193. Let c be f(4). Solve 13*i - 14*i - c = 0 for i.
-1
Let x = 110 + -103. Solve x*j + 3 - 10 = 0 for j.
1
Let k(m) = 24 - 5*m + 2*m + 6*m. Let x be k(-7). Solve -x*g + 12 = -0*g for g.
4
Suppose 3*z - 2*u - 23 = -6*u, u = -3*z + 26. Let f be 10/(-6)*168/(-8). Suppose -15 = 4*h - f. Solve -h*r = -z + 34 for r.
-5
Let o(z) = -z**2 + 9*z + 12. Let w be o(10). Suppose 0 = 5*x, -w*x = g - 6*g + 25. Solve -d - 1 = -g for d.
4
Suppose -2 = 21*n - 22*n. Solve 2 = n*f - 0 for f.
1
Let h be -3 - (5 + 0 - 17). Let r be h - (5 + -1 + 1). Solve -k + 5 = r*k for k.
1
Let p(g) = g + 9. Let w be p(-5). Suppose 0 = w*j + 27 - 35. Solve -j*x = -3 - 5 for x.
4
Let z = -1586 + 1592. Solve 0 + z = -3*r for r.
-2
Let s be 8 + 5 + 2 + -5. Let i = 13 - s. Let q be (39/i - 0)/1. Solve -3 + q = 2*c for c.
5
Let h(v) = v**2 - 17*v - 4. Let d be h(17). Let q(n) = n**2 - 16. Let r be q(d). Solve r = -0*p + 4*p for p.
0
Let s be (-4 + 3)/(3/(-6)). Suppose -19 = -3*m - 10. Let i(v) = v - 1. Let p be i(1). Solve p = -s*d - m + 7 for d.
2
Suppose 68 = -3*d + 77. Let s(r) = r + 13. Let u be s(-3). Suppose 0 = -0*i - i. Solve i = -d*h - 2*h - u for h.
-2
Let v be -2*5/((-50)/(-5)). Let u(c) = 11*c. Let h be u(v). Let o be (h - -17) + (1 - -1). Solve -3*a - a = -o for a.
2
Suppose -9*t - 359 - 172 = 0. Let y = t - -63. Solve 5*c + 24 = y for c.
-4
Let y = -69 + 72. Suppose -2*b - y*t = -23, 3*b - 3*t = 2*b - 2. Solve 0 = -2*w + b*w for w.
0
Let l(r) = r + 16. Let b be l(-12). Suppose -4*s - b = 4*p, -2*s - 3*s + 4*p = -40. Let q = 6 - 6. Solve q = -2*w + s*w for w.
0
Let w be (-8)/(3 + -6 + 5). Let v be (w/16*0)/(-2). Solve 8 = -v*j - 2*j for j.
-4
Suppose 3*r + 14 = 2*i + 4, -r + 10 = 2*i. Let k be r/2 - 3 - -5. Suppose 2 = -3*j - k*o, -3*j - 3*o = -0*j + 3. Solve 2*z + 4 + 0 = j for z.
-2
Let c(s) = -s**2 - 25*s - 102. Let t be c(-17). Solve t*n = 42*n + 32 for n.
-4
Suppose -3*z = 4*t - 9 - 26, 30 = 2*t + 4*z. Suppose 0 = -3*h + 6*h - 81. Suppose t*f - 3 = h. Solve -f - 2 = -2*i for i.
4
Let r be (4/2)/(-12) + 515/(-6). Let o = 87 + r. Solve 2*v - o = -9 for v.
-4
Suppose 3*u = -5*m + 4*u + 26, 0 = 5*m + 3*u - 22. Suppose 0 = -4*p + m*i + 31, 5*p + 0*i - 46 = -i. Solve -p + 3 = -2*w for w.
3
Suppose -25 = -5*s - 3*u, -u = s + 1 - 6. Solve -12*p + 17 = s*p for p.
1
Suppose 3*f - 8 + 3 = -2*t, -2*t - f = 1. Let q = 5 + t. Solve 3*b = 4*b - q for b.
3
Suppose 4*s + 245 = -n, -2*s + 0*n - n - 121 = 0. Let h = s + 69. Solve -2*a - h = 3 for a.
-5
Suppose -4*w = -2*a - 3*w + 10, -5*w = -4*a + 32. Suppose -2*u = j + 46, -u - a*j - 19 + 6 = 0. Let i = -17 - u. Solve -i = -0*r + 2*r for r.
-4
Suppose 3*j - 30 = -87. Let f = -10 - j. Let w be 5/((-6)/f + 1). Solve x = 4*x - w for x.
5
Let d = -92 - -34. Let u = -55 - d. Solve -m = u + 1 for m.
-4
Let h(x) = x**2 - 14*x + 41. Let c(k) = -k**2 + k. Let a(z) = -2*c(z) - h(z). Let g be a(-15). Solve -b + g*b = 9 for b.
3
Suppose 4*r = 14 + 6. Suppose 0 = 4*j - 9*j + 100. Suppose 5*x - 3*x = -r*b + j, -5*b = -2*x - 40. Solve b*t = t + 10 for t.
2
Let t be (3 - 6/(-3)) + -3. Suppose 6 = -2*w, 0 = -t*o + w - 1 + 12. Suppose o*y - 9 = y. Solve -4*g + 1 = -y for g.
1
Suppose -5*w - 15 = 3*v, 5*w + 15 = v + 2*v. Let t = 1 + 4. Suppose -2*n + 3*h + 0*h = 5, 2*n - 19 = -t*h. Solve -2*o = -v*o + n for o.
-1
Let t be (3 - 20/6)/(4/(-96)). Solve 6*p - t = 2*p for p.
2
Suppose 9*c - 7 = 11. Let n(x) = -x**3 - 5*x**2 - 6*x - 4. Let y be n(-4). Solve 0 = -2*f + y - c for f.
1
Let u(z) = 4*z**3 - 18*z**2 - 18*z + 42. Let k be u(5). Solve 7*p = -k*p + 45 for p.
5
Suppose 5*j - 16 = -1. Let m(i) = 2*i**2 + 60*i. Let r be m(-30). Let v be ((-1)/((-4)/16 - r))/2. Solve 0 = -v*p + j*p for p.
0
Suppose -6 + 116 = 2*n. Suppose -4*b = -f - 34 - 10, n = 5*b - 4*f. Let j be 110/25 + (-24)/10 + 2. Solve -j*d = 5 + b for d.
-4
Suppose -2*t + 3*w = 2*t + 50, 2*t + 32 = 5*w. Let v = -11 - t. Solve 3*m + 3 = -v*m for m.
-1
Let m(h) = h**3 + 8*h**2 + 7*h. Let b be m(-7). Solve b = 4*p + 5 + 11 for p.
-4
Let d(x) = x**3 + 9*x**2 + x + 6. Let t be d(-9). Let h = t - -1. Let w be ((-26)/65)/(h/5). Solve w = -2*l - 7 for l.
-4
Let s(w) = -w**3 - 3*w**2 + 12*w + 99. Let a be | {
"pile_set_name": "DM Mathematics"
} |
**43)/(r**(9/4)/r**(-2/5))**28 assuming r is positive.
r**(-1279/20)
Simplify ((f*f*f*f**(1/3)*f*f)**(-4/17))**(3/22)/((f/f**(1/2))/f**3)**(-34) assuming f is positive.
f**(-15927/187)
Simplify ((x/(x/x**(4/3))*x)/(x*x**(-9)))**36/((x**(3/2)/x)/((x**(2/15)*x)/x)*x/x**8*x**(7/4)) assuming x is positive.
x**(22613/60)
Simplify ((o**(-2/5)*o*o/(o*o**1))/(o**(-1))**(-23))/(o**(-3)*o**(4/3)*o/o**5*o**1) assuming o is positive.
o**(-281/15)
Simplify (n**(22/3)*n*n**(8/5)*n*(n**(5/2))**(-38/7))**(-22) assuming n is positive.
n**(6094/105)
Simplify ((v*v**(-4/7))/v**9*(v*v/(v**(-2)/v)*v*v)**35)/(v/(v**(-8)*v)*v*v/(v**(-3)*v)*(v**(-1))**(-8)) assuming v is positive.
v**(1515/7)
Simplify ((n**5/n*n*(n**(-1/3)*n)/n)/(n**1*n)**(-1/14))/(n/n**(-5)*n/(((n*n**2/n*n)/n)/n)*n**(1/5)*n*n**(-3)) assuming n is positive.
n**(64/105)
Simplify (o**(-42/11))**(-41)*o**11*((o/o**34)/o)/o assuming o is positive.
o**(1458/11)
Simplify ((a**(6/7)*a*a**(2/5))/(a*a*a**(1/6)*a/(a*a**(-1/7)*a)))/(a/a**(-1)*((a*a/(a*(a/a**(-5))/a)*a)/a)/a*a)**48 assuming a is positive.
a**(20359/210)
Simplify (((((g**(2/13)*g)/g)/(g/(g*g/(g**1*g)*g)))/(g/(g*g/g**(-1/3)*g)*g*g**(4/7)))**(2/69))**(-12/5) assuming g is positive.
g**(-400/6279)
Simplify s*s**(-3/4)*s*s*s**(-2/5)/s*s*s**(1/6)*(s**(2/15)/s)/s*s*(s**1)**(-46)*(s**(-1))**46 assuming s is positive.
s**(-1817/20)
Simplify (((t**5/t**(-6/13))**(-23/5))**44)**(-2/25) assuming t is positive.
t**(143704/1625)
Simplify (i*i/(i*i*i*i*i**(-2/11)*i*i*i)*i/(i**0*i))/(i**(1/6)*i**(-2/7))*((i/(i**(6/7)/i))/(i**(-2/3)*i))**(-4) assuming i is positive.
i**(-3667/462)
Simplify ((p**(-6))**(-37)*(p**(-3)/p)/(p/(p/(p**(-7)*p))*p))**31 assuming p is positive.
p**6913
Simplify (k**4/(k*k*k**(-2/3))*k**(1/6)*k**(-6))/(k**0/(k**(-2/3)*k)*(((k*k**(-2))/k)/k)**(-35/2)) assuming k is positive.
k**(-166/3)
Simplify (d**0)**31/(d/(d/(d/(d**(1/2)/d*d))))**(5/12)*(d/d**(-3)*d**6*d)/(d*d*d**(1/2)*d*d)**38 assuming d is positive.
d**(-3845/24)
Simplify (o**6*o*o*o**(2/7)*o*o)**(-8/5)*((o**0)**40)**(-2/9) assuming o is positive.
o**(-576/35)
Simplify (p*p*(p/(p**(-33)*p))/p*p*p*p)**(-34/7)/(p**34*p*p**(3/23)) assuming p is positive.
p**(-34590/161)
Simplify (b**(-12)*b*b**8/b*(b*b/b**(-5))**(-12))**(6/41) assuming b is positive.
b**(-528/41)
Simplify ((v/(v/(v*v**(-5/11)/v)))**(-1/12)/(v/(v*(v/(v*(v**(-19)/v*v)/v))/v))**(-17))**3 assuming v is positive.
v**(-42631/44)
Simplify (((o**(-2/7))**(-40)*(o**(2/3))**(4/7))**(-1/5))**36 assuming o is positive.
o**(-2976/35)
Simplify ((y/y**(2/11))/y**(2/31))/(y**5*(y*(y/(y*y**0))/y*y)/y)*(y**(-2/5))**(-34)*(((y**(3/4)/y)/y)/y)/y*y**(-1/3) assuming y is positive.
y**(118061/20460)
Simplify ((o*o**(-9/2)*o**(-1/8)*(o*o/((o*o**0*o*o)/o))/o**(7/6))**(2/59))**49 assuming o is positive.
o**(-5635/708)
Simplify ((m/(m**3/m))/m)/m**8*m**(-2)*(m**(-4)/m)/m*m**(-1/7)*m**5/m*(m*m*m**(1/7)/m*m)/(m**(-2)*m) assuming m is positive.
m**(-11)
Simplify ((u*u**(1/6))/((u/u**(-4))/u))**(-1/32)/(((u*u**(-6))/(u/((u*u*u**2)/u)))/(u/(u**1/u))**(35/3)) assuming u is positive.
u**(2833/192)
Simplify ((((z**(3/7)*z*z)/z*z)/z**3)/(((z*(z*z*((z/(z/(((z**(3/5)*z)/z)/z)))/z*z*z*z)/z)/z*z*z*z)/z)/(z*z/(z/(z**(-8)*z))*z)))**(3/5) assuming z is positive.
z**(-1068/175)
Simplify ((q*q/q**(1/3))/(q*q/(q**(4/7)*q)))**39*(((q*q/(q*q**0))/q)/(q*q**(-1/3)*q))**(-2/97) assuming q is positive.
q**(98428/2037)
Simplify (((w/(w**(-2/7)/w))/w)**(2/55))**(2/47)/(((w*w*(w*w**(1/3))/w*w*w)/w)**(4/15))**(-20) assuming w is positive.
w**(2895524/162855)
Simplify (s**5*s**(1/10)*s)**39/((s**(-2/9))**(9/11)*(s/(s*s/s**(-3/4)))/s*s**5/s) assuming s is positive.
s**(52103/220)
Simplify (o**(-2/5))**(-2/27)*(o**(1/2))**(-3/44)*(((o**0/o)/o)/o**(2/11))**37 assuming o is positive.
o**(-959093/11880)
Simplify b**0/b*b/(b/b**(4/11))*b*(b**1)**(-22)*b**1*b*b*b*b**(-2)*(b*b**(-5))/b**0 assuming b is positive.
b**(-260/11)
Simplify ((r/(r**(-36)*r)*r**(-31)*r)/(r*r**(-4/9))**(10/11))**(2/155) assuming r is positive.
r**(1088/15345)
Simplify (n**(-1/3))**(23/4)/((n/n**5)/((n**7/n)/n))*(n**(-2/9)/(n**(-2)/n))/(n**(-2/13)/n**(3/4)) assuming n is positive.
n**(2519/234)
Simplify ((r**(1/2))**(-23)/(r/(r/((r/(r**(-2)/r))/r))*r/(r/r**(3/7))))/(r**6*r/(r**(-1/9)/r))**23 assuming r is positive.
r**(-25387/126)
Simplify (((q/(q*q**(1/3)))**35/(q**(2/7)*q)**(-7/2))**14)**3 assuming q is positive.
q**(-301)
Simplify ((v**(-2/9)*v)**(-5/3))**(-3/17)*(v*v**1)**(-3/41)*v**(-3/7)*v*v*v/(v*v**5/v)*v assuming v is positive.
v**(-59111/43911)
Simplify (l**4/l*l*l**(-2))/(l/(l**(2/3)/l))**(-2/17)*(l**1*l*l*l*l)**(2/135)/(l**(-1))**(8/3) assuming l is positive.
l**(2248/459)
Simplify j/j**1*j*j**6*(j**(1/14)*j*j)/j*j**(-1)/j*(j**(-2/13)*j/(j*j*j/((j*j**(-9))/j)*j*j)*j)**20 assuming j is positive.
j**(-43135/182)
Simplify (u/u**(-39)*u)**(1/4)*(u/(u/(u*(u*u/u**(-1))/u)))/(u/(u*(u**(24/7)/u)/u)) assuming u is positive.
u**(411/28)
Simplify (h**(-3/2)*h**(3/5))**23*((h*h*h/((h**(4/5)*h)/h))/((h/h**(-2/3))/h))/(h/h**0)**(-22) assuming h is positive.
h**(17/6)
Simplify ((g**(8/5))**48*(g*g/g**(-1/4))**(-2/107))**(39/4) assuming g is positive.
g**(3203109/4280)
Simplify ((((x*x/x**(-8))/(x**(1/4)*x*x*x))/(x/((x**(2/5)/x*x)/x*x))**48)**(-3/23))**32 assuming x is positive.
x**(10584/115)
Simplify ((s*s**(-2)*s)**(-1/54))**(1/47)/(s**(-2)*s/(s**(-2)*s)*(s/s**(1/5))**1) assuming s is positive.
s**(-4/5)
Simplify ((q*q/(q/q**(-19)))**(-5)*q**9/q*q/q**(-3/19))**(-1/28) assuming q is positive.
q**(-471/133)
Simplify ((h**(-10)*h/h**(11/5))/(h**(-9))**(4/19))**15 assuming h is positive.
h**(-2652/19)
Simplify (l**1/l**2)**(-45)/(l**(-1/7)*l**(3/2))**(-26/7) assuming l is positive.
l**(2452/49)
Simplify (((a**3*a*a*a**5)/(a**(2/7)/((a/(a**(-5)*a*a))/a)))**(-23))**(-14) assuming a is positive.
a**4094
Simplify ((((k*k/(k/k**(-2/7)))**27)**(-37))**(1/2))**(13/3) assuming k is positive.
k**(-21645/14)
Simplify ((v*v/v**(-1/7)*v)**12*v**13*v*v**(-6))**(-1/17) assuming v is positive.
v**(-320/119)
Simplify ((c/c**(-1/34))/c**(-4/33))/(c**(2/7)*c**(3/10)) assuming c is positive.
c**(11092/19635)
Simplify ((q**(-1/4)/q)**1/(q/q**7)**(-20/9))**(-2/35) assuming q is positive.
q**(5/6)
Simplify ((((y**(-2/5))**(-23))**(-2/47))**10)**(-9/5) assuming y is positive.
y**(1656/235)
Simplify (j**(1/4)/j*(j**(-4)*j*j)/j*(j**(-1)/j)**48)/((j**(1/2)/j*j)**(12/11)/(j**1)**(-32)) assuming j is positive.
j**(-5821/44)
Simplify (y/(y/(y*y**(-1/10))*y)*y*y**(2/19)*(y*y**15)**(-34))**(-16) assuming y is positive.
y**(825352/95)
Simplify (p**(-14/5)*p*p*p*p**34/p)/(p**(-2/3)/p**(-30)) assuming p is positive.
p**(58/15)
Simplify ((v**42*v)/v**(1/7))/(v**8*v*v*v/v**(-5/17)) assuming v is positive.
v**(3756/119)
Simplify (p*p/p**2*p)/(p*(p*p/p**(1/2)*p)/p)*(p/p**(-2/7))/(p*p**4)*(((p*p/(p**(1/2)/p))/p)**(-2/65))**(4/9) assuming p is positive.
p**(-14291/2730)
Simplify ((v**(22/7)/(v**(-27)*v))**(1/23))**(-5/9) assuming v is positive.
v**(-340/483)
Simplify (s*s**(-7))**(-2/25)/((s/((s/s**(-4)*s)/s*s))/s**(-37)) assuming s is positive.
s**(-788/25)
Simplify ((w/(w*w**1))**(-15/2)*(w**(-1)*w)**(-31))/((w**1)**(4/17))**(-1) assuming w is positive.
w**(263/34)
Simplify (v*v**(2/5))/(v*v**(-1/5)*v)*v**(2/9)/v*v**(-5)*((v/v**1)/v)**(-34/7)*(v**0)**7 assuming v is positive.
v**(-416/315)
Simplify (u*u/u**(-1/9)*u/(u**(-2/87)/u*u)*u**4/(u*u**13/u))**(28/9) assuming u is positive.
u**(-42868/2349)
Simplify (c*c**4*c*c*c**(-2/35)*c*c**(-3)*c*c*c**(-3))/(c**(-4/5)/(((c**0*c)/c)/c)*(c*c/c**(-2)*c)**(-2/139)) assuming c is positive.
c**(18559/4865)
Simplify (v*v**(-7))/(v**(2/11)*v)*(v**(-1))**(-5)*(((v*v**(-7))/v*v*v)/(v*v**(4/5)))**(-2/95) assuming v is positive.
v**(-10652/5225)
Simplify (u**(-1/8)*u*u*u/u**(2/5)*u*u*u)**(2/37)*((u**(-2/11))**32)**(19/3) assuming u is positive.
u**(-892613/24420)
Simplify ((a**(2/33))**(-2/39)*(a*a**(-1/4))**(-22))**(-1/30) assuming a is positive.
a**(42479/77220)
Simplify (g*g**(1/74)*(g*g/g**(-28/3))/g)/(g**(-17/3)*g*g/((g**41*g*g)/g)*g) assuming g is positive.
g**(4145/74)
Simplify ((y/y**0)**(-2/35))**(-27)*(y**(-1/3)*y/(y*y*(y*(y/(y**(-1/7)/y))/y*y*y*y)/y))/((y*y**1)/y*y/(y/(y*y**(2/13)*y))) assuming y is positive.
y**(-1382/195)
Simplify ((y**(1/5)*y)/y)/y**(3/5)*(y*y*(((y**(-4)*y)/y*y)/y)/y*y)/(y*y**5)*(y/((y | {
"pile_set_name": "DM Mathematics"
} |
ps.
-0.000002
Let c = -9.4479 + 9.51. Let h = -2.4 + 2.341. Let w = h + c. Round w to 3 decimal places.
0.003
Let k = 7054 - 16254. What is k rounded to the nearest one thousand?
-9000
Let t = 0.269 + 0.821. What is t rounded to one decimal place?
1.1
Suppose -4*f = l - 209920, 3*f - 157445 = -0*l - 2*l. Suppose -4*d + f + 59521 = 0. Round d to the nearest ten thousand.
30000
Let b(u) = -2*u - 13. Let x be b(-12). Let c = 15 - x. Suppose -8906 = g - 3*d, 0*d + 8 = c*d. Round g to the nearest one thousand.
-9000
Let d = 158 + -157.911. Let j = d + -0.089102. Round j to 5 dps.
-0.0001
Let c(i) = 383*i - 7. Let y be c(-3). Let s be -1372*(1 - (-2)/(-4)). Let l = y - s. What is l rounded to the nearest one hundred?
-500
Suppose 0 = 5*f + 2*o - 7*o + 2949975, f - 5*o = -589975. What is f rounded to the nearest 100000?
-600000
Let p = 50.9177878 + -2.9178088. Let x = p + -48. Round x to 5 dps.
-0.00002
Let a = 35.5 - 12.4. What is a rounded to 0 dps?
23
Let a = 17 - 59. Let f = 2.475888055 + -44.475887375. Let o = f - a. What is o rounded to 7 decimal places?
0.0000007
Let q = 11.853 + -11.9. Let l = -3 + 2.99. Let r = q - l. Round r to two decimal places.
-0.04
Let q(f) = -f**2 + 6*f. Let d be q(6). Suppose d = -4*v + 5*v. Round v to six decimal places.
0
Let d(f) = -491997*f. Let p be d(1). Let c be p/12 - (-3)/(-12). Round c to the nearest 10000.
-40000
Let b = 1.82 - 1.820182. Round b to 5 decimal places.
-0.00018
Let t = 41 - 31.6. What is t rounded to the nearest integer?
9
Suppose 0 = -4*s + 69331 + 970669. Round s to the nearest one hundred thousand.
300000
Let o(z) = -z**2 + 9*z + 3. Let p be o(9). What is p rounded to 0 decimal places?
3
Let n = 1458374 + 331626. Round n to the nearest 100000.
1800000
Let h = -15 - -27.4. Let m = h - 0.4. Let p = 11.63 - m. What is p rounded to one dp?
-0.4
Suppose 2*i + 0*i - 22 = 0. Let u = i - 8. Let b be (-1299998)/(-1 + u) + -1. Round b to the nearest one hundred thousand.
-700000
Let h be 12199997 - (-18)/12*(-1 - -3). What is h rounded to the nearest 1000000?
12000000
Let z be (-1)/5 + (-122)/(-10). Let a = z - 7. Suppose 3*q - 4*p + 230 = 0, 0*p + p = a*q + 355. What is q rounded to the nearest 10?
-70
Let f = -0.46 - -0.4600048. Round f to five decimal places.
0
Suppose -3*q - u + 134996 = 0, 4*u + 6 = -10. Round q to the nearest ten thousand.
50000
Let a = -164.857 - -166. Let j = -1.1 + a. Round j to 2 dps.
0.04
Let q = -1990.0999 + 1990. Let j = 0.092 + q. What is j rounded to 3 dps?
-0.008
Let t = 183797 - -56193. Suppose -70285 = n + 3*o + 9721, 0 = 3*n - 5*o + t. What is n rounded to the nearest ten thousand?
-80000
Let r = -0.087 + 98.087. Let g = 97.879 - r. Round g to 2 decimal places.
-0.12
Suppose 5*o + 9 = -1. Let m be (1 - o)/1 + 1. Suppose 5*w = -4*z - 2 - 22, m*z = w. What is w rounded to zero dps?
-4
Let s = 0.1455 - 0.22761. Let z = 0.028 - 0.111. Let d = z - s. Round d to 4 dps.
-0.0009
Let b = 14 - 13. Let j(z) be the first derivative of -25000*z**2 + 2. Let d be j(b). Round d to the nearest 100000.
-100000
Let y be 2 + -43*(-1 + -1384). Let m = y - -4040443. Round m to the nearest one million.
4000000
Let m = 2237458 + -1476610. Let v = m - 80077. Suppose -2*g + 5*o = -231985, 4*o - 216783 = 4*g - v. Round g to the nearest 10000.
120000
Let k = -0.82 - 24.38. Let o = k - -25.19999897. What is o rounded to 7 decimal places?
-0.000001
Let v be (0 - -900)*(-24 - -4). What is v rounded to the nearest 10000?
-20000
Let u(b) = 2*b. Let w be u(-5). Let d = -16 - w. Let z be (7/3)/((-2)/d). Round z to the nearest 10.
10
Let g = -20 - -19.7. Let q = g + -0.5. What is q rounded to one dp?
-0.8
Let u = -8.437 - -8.4. Let n = -0.773 + u. Let k = 0.81000043 + n. What is k rounded to 7 decimal places?
0.0000004
Suppose 5*n + 1 = 11. Suppose n*f + 33608148 = 11408148. Round f to the nearest one million.
-11000000
Let x = 3484.1 - 3483.71954. Let u = -0.38 + x. What is u rounded to four decimal places?
0.0005
Suppose -3*c - 4 = 11, -2*g + 188020 = -4*c. What is g rounded to the nearest 10000?
90000
Suppose -3*v - 24 = -5*v. Let f = v - 8. Suppose 4915 = f*s - 3085. What is s rounded to the nearest ten thousand?
0
Let g(z) = z**3 - 9*z**2 + 8*z + 3. Let x be g(8). Suppose -n + c - 30900003 = 2*n, 30899991 = -3*n - x*c. What is n rounded to the nearest 1000000?
-10000000
Let d = -4.2 + 67.2. Let z = -69.2 + d. What is z rounded to zero dps?
-6
Suppose c - 5*s + 5060 = 3*c, -2*c - s + 5076 = 0. What is c rounded to the nearest one hundred?
2500
Let c(k) = 93*k**2 + 3*k - 1. Let z be c(2). What is z rounded to the nearest 100?
400
Let i(m) be the first derivative of -2899999*m**4/4 - 2*m**3/3 + m**2/2 - 1. Let f be i(1). Round f to the nearest 1000000.
-3000000
Suppose 0 = -4*z + 4*g + 91 - 15, -11 = -z + 5*g. Let w be 2/(-7) - 10494/z. Round w to the nearest one hundred.
-500
Let n = 11 + -10.96. Let t = n - 0.03999952. What is t rounded to seven dps?
0.0000005
Let s = -47 - 33. What is s rounded to the nearest ten?
-80
Suppose 3*k = 6*k - 6. Suppose -2*m - k*s = -4*m + 94, 0 = -2*m - s + 91. Suppose l = -0*l - z + m, -2*z - 237 = -5*l. What is l rounded to the nearest 10?
50
Let q = 4342.955 - 4321. Let j = -22 + q. Round j to 2 dps.
-0.05
Let x(c) = -3*c + 8*c - 2*c + 639*c**2 + 2. Let k be x(3). Suppose 0 = j + 3238 + k. What is j rounded to the nearest 1000?
-9000
Let u = 6 + -4. Let r = -2.075 + u. What is r rounded to two decimal places?
-0.08
Let z = 5 + -3. Let x = z + -40. Let r be 8*1/(4/x). Round r to the nearest ten.
-80
Let m = -2 - -2.03. Let s = 0.02999964 - m. What is s rounded to 7 dps?
-0.0000004
Let b(f) = f**3 + 8*f**2 + 6*f - 4. Let s be b(-7). Let g(z) = -z**2 + 6*z - 2. Let o be g(5). Suppose 6*l = o*l + s. What is l rounded to the nearest ten?
0
Suppose -i - i = -2540000. What is i rounded to the nearest 100000?
1300000
Let z = -0.755 + -0.155. Round z to 0 dps.
-1
Let a = -0.01 - 5.99. Let o = -3.5 - a. Let d = o + -2.500022. What is d rounded to five dps?
-0.00002
Let b = 2.7 + -2.70034. Round b to four decimal places.
-0.0003
Suppose -4*t - 2*h - 110 = 0, 0*t - 4*t = h + 105. Let n = -13 - t. What is n rounded to the nearest ten?
10
Let u = 163.0076 - 170. Let s = -16 - -9. Let r = u - s. What is r rounded to 3 dps?
0.008
Suppose -3*a + k = -70, a + k - 15 = 3. Suppose 5*h + 10 = -2*s, -5*h - 3*s - 2*s = -5. Let m be 1561996/22 - h/a. Round m to the nearest ten thousand.
70000
Let i(s) = -125078*s - 1. Let d be i(3). Let k = -93162 - d. Let r = k + -187073. What is r rounded to the nearest 10000?
100000
Let d = 1.42 - 1.4199887. Round d to 6 decimal places.
0.000011
Let o = 31 - 35.8. Let j = o - -4.99. Round j to one dp.
0.2
Let z = -367 - -1034. Let i = -669.71 + z. What is i rounded to 1 dp?
-2.7
Let i = 0.6 - 0.9. Let u = -0.25 - i. Let x = 0.04987 - u. Round x to 4 dps.
-0.0001
Let v = 108969.7 - 108932.70042. Let r = v - 37. Round r to four dps.
-0.0004
Let i = -7 + 8. Let r = i - 1.07. Let h = r - -0.069925. What is h rounded to 5 dps?
-0.00008
Let a(w) = -521*w**3 - 4*w**2 + 6*w + 5. Suppose 0 = -2*b - b - 15. Let g be a(b). Round g to the nearest 10000.
70000
Let v = -186.999921 + 187. Round v to 5 dps.
0.00008
Let p = -28.97505 - -29.06505034. Let s = p + -0.09. What is s rounded to 7 decimal places?
0.0000003
Let z = 0.2396 - 0.23. What is z rounded to 3 dps?
0.01
Let i = -3553666 + 3553666.27000063. Let q = i - 0.27. Round q to 7 dps.
0.0000006
Let u = 2.1 + -0.8. Let s = u - 3.2. Let q = s + 1.89999916. Round q to 7 dps.
-0.0000008
Let a = 11.28 - -1.52. Let z = a + -26. Round z to the nearest integer.
-13
Let c = 294863.300015 + -294864. Let p = c + 0.7. Let l = 0 - p. What is l rounded to 6 decimal places?
-0.000015
Let h = -4.166 + 0.056. Let x = -26 - -26.19. Let i = x - h. Round i to the nearest integer.
4
Let w = 0 - 1. Let g = -7.672 - -6.6722. Let z = w - g. What is z rounded to 3 dps?
0
Suppose 9 = 5*u - 1. Suppose -4*a + b + 179997 = 0, -u*b = -b - 3. What is a rounded to the nearest 10000?
50000
Let r = 3 - -2. Let t = r + -2. Suppose 95998 = -t*n - y, -32008 = 3*n - 2*n - 4*y. Round n to the nearest ten thousand.
-30000
Suppose 2 = -0*h + 2*h. Let v(n) = -23*n**3 + n**2 - 2*n + 1. Let q be v(h). Let m = q - 37. What is m rounded to the near | {
"pile_set_name": "DM Mathematics"
} |
- 3*s to m*s + y and give y.
206
Express 137*s - 4*s**2 - 47*s + 17*s**2 - 14*s**2 - 6*s**2 - 3 as n*s + l*s**2 + d and give d.
-3
Rearrange (218 + 89 - 92)*(3 - 5 - 1 - 1)*(5*x + 0*x + 5*x) to j + i*x and give j.
0
Rearrange (-2*l + 2*l + l)*(-5 + 5 - 2*l) - 2*l**2 + l - l + (0 + 1 + 1 - 5*l)*(-2*l + 30*l - 5*l) + 0*l + 0*l - 2*l**2 to m + v*l**2 + i*l and give i.
46
Rearrange -16*v**4 - 8*v**2 + 8*v**2 + (v**3 + 0*v**3 + 0*v**3)*(2 - 2 + 3*v) - 38*v + 38*v - 30*v**4 to the form f*v + p + r*v**3 + l*v**4 + b*v**2 and give l.
-43
Rearrange (-24*x - 9*x + 15*x - 24*x - 13*x)*(-34*x - 15*x + 102*x) to k*x**2 + z + q*x and give z.
0
Express -3 + 1655*d**2 - 1569*d**2 - 9*d + 0*d in the form v*d**2 + r*d + c and give v.
86
Rearrange -34 + 19*v + 75 - 43 + 2*v - 4*v + 4*v + (-2 + 3 + 0)*(v - 4*v + 2*v) - 84 + 12*v + 84 to m + g*v and give g.
32
Express 107*s**2 + 63*s**3 - 30*s**3 - 24*s**3 + 5 - 7*s**3 as m*s**3 + a*s + q*s**2 + t and give q.
107
Express ((-2 + 0 + 1)*(5*t - 5*t - t) + 972*t - 41138 + 41138)*(3 + 0 - 2) as d*t + v and give d.
973
Express -2 - 3888*s - 1448*s - 1193*s in the form y*s + u and give y.
-6529
Rearrange -19180*a - 5169*a + 44*a - 3791*a to the form m + x*a and give x.
-28096
Rearrange -127*s + 34 - 1000*s - 35 to z + n*s and give n.
-1127
Express (-137*j**3 + 2*j - 1478*j**2 + 1478*j**2)*(3 + 11 + 3) in the form w + c*j**2 + l*j**3 + y*j and give y.
34
Rearrange -199 - 3*w**2 - 13 - 754 + 0*w**2 to h*w**2 + d*w + c and give h.
-3
Express -2*p - 3*p + 4*p + 0 + 2*p + 0 + (0*p + 0*p + p)*(3 + 0 - 4) - 1220 + 1220 - 145*p + (-5 + 5 - 2*p)*(4 - 2 - 4) as l*p + v and give l.
-141
Rearrange 5777 - 4603*i**3 - 2944 - 2835 to r + p*i + u*i**2 + l*i**3 and give r.
-2
Rearrange -35*h**2 - 48*h + 48*h + 0*h**2 + 0*h**2 + 3*h**2 + (h**2 + 4*h**2 - 3*h**2)*(2 - 3 + 6) to the form y + a*h + f*h**2 and give f.
-22
Express (-1 + 2 + 0)*(0 + 4 - 1)*(8*p**3 + p - p) + 16*p**3 + 18*p**3 - 7*p**3 as o*p**2 + z + w*p**3 + r*p and give w.
51
Rearrange (-f + 3 - 3 + 0*f - 3*f + 4*f + (0 - 2 - 1)*(f + f - 4*f) - 11 + 85*f - 161*f - 391*f + 11)*(0*f + 0*f - 2*f) to x*f**2 + v + u*f and give x.
922
Express (-2*l + 1 - 1)*(l**2 - 2*l + 34*l**2 - 3 + 5*l**2) + 9*l**3 - 8*l**3 - 12*l**3 in the form v*l**3 + p*l**2 + u + y*l and give y.
6
Rearrange -2496*c - 3607*c - 1236*c to a + n*c and give n.
-7339
Rearrange (-15 + 33 - 5)*(-18*h - 332 + 99 + 218) to i*h + w and give i.
-234
Rearrange (27*o - o**2 - 26*o - o**2)*(-370 - 453 + 472)*(1 - 1 - o) to m*o + i*o**2 + c*o**3 + z and give c.
-702
Rearrange (62 + 59 - 129 + 23*i**2)*(-6*i + 30*i + 18*i) to the form t*i**3 + v + y*i + u*i**2 and give t.
966
Express (0*g - 6*g - 3*g)*(-51 + 133 + 337) as f + z*g and give z.
-3771
Rearrange 70*l**3 - 2 - 2*l**2 - 1099*l + 543*l + 554*l - 2*l**4 to the form d*l + q*l**3 + n*l**2 + b*l**4 + k and give n.
-2
Rearrange (-12849*u + 4895*u + 5604*u)*(-4*u + 3*u + 0*u) + 7*u - 7*u - 3*u**2 to the form t*u**2 + b*u + j and give t.
2347
Rearrange -5*b**3 - 6*b**4 - b**3 + 2*b**3 + 2*b**2 + 223 - 221 + 15*b + 2*b**3 to c*b**3 + t*b**2 + l*b + n*b**4 + f and give f.
2
Express 92 - 78 - 250*t - 227*t - 95*t in the form v + o*t and give v.
14
Express 292 - 7*q - 272 + 7*q + 73*q + 43*q in the form t + u*q and give u.
116
Rearrange 22*h**4 - 2 - 9953*h + 10185*h + 2*h**2 + 6*h**3 - 20*h**4 to the form d*h + o + v*h**4 + g*h**3 + x*h**2 and give x.
2
Express -10*t**4 - 242*t - 119 - 233*t + 473*t in the form o*t**2 + s*t**4 + m*t + y*t**3 + b and give b.
-119
Rearrange y + 100*y**2 - 99*y**2 + 493 + 5004 + 1382 to q + o*y**2 + i*y and give o.
1
Express -6*t + 5*t + 7*t**4 - 3*t**4 + 11*t**2 - 2*t**3 + 48 + 10 - 14 in the form p + s*t + r*t**3 + q*t**2 + z*t**4 and give p.
44
Rearrange 11476*w + 990*w + 1256*w to p*w + t and give p.
13722
Rearrange ((-19 + 2 + 0)*(5 - 3 - 3) - 2 - 1 + 5 + 1 - 4 + 4)*(14*y**3 - 3*y**3 - y**3) to the form b*y + v*y**2 + z + q*y**3 and give q.
200
Rearrange -38 - 33265*j + 131 - 57 - 36 + (5*j - 2*j - 2*j)*(-4 + 6 + 0) to x*j + n and give x.
-33263
Rearrange -14309*h**3 + 12 + 2*h**2 + 7153*h**3 + 7148*h**3 + 3*h**2 + h to g + w*h**2 + b*h**3 + p*h and give w.
5
Rearrange 21*l - 4*l**3 - 15*l**3 + 13 - 11 + 12*l**2 + 7*l**2 - 20*l**2 to the form o + t*l + r*l**3 + v*l**2 and give r.
-19
Express 36*t - 7*t**2 + 4*t - 29 - 36*t - t**4 - 4*t**3 + 6*t**2 in the form u*t**4 + p + i*t**3 + l*t**2 + j*t and give j.
4
Rearrange -672082*g - 22*g**2 - 1 + 1344091*g - 672047*g to the form x*g + l + n*g**2 and give x.
-38
Express 2*c**4 - c - 216*c**3 + 231*c**3 + 1 + 0*c - 14*c**3 + 55*c**2 as j + o*c + d*c**3 + m*c**4 + w*c**2 and give m.
2
Rearrange -20903*p**2 + 282*p - 603*p - 812*p**2 + 321*p to the form o*p**2 + r + f*p and give o.
-21715
Express w**3 - 5*w**3 + 5*w**3 + (4*w - 4*w - 2*w**2)*(-102 - 70 + 174 + 45*w) in the form v*w + s + a*w**3 + c*w**2 and give c.
-4
Express 2 - 2*m + 3*m - 12 - 5*m + m**4 + 7 - 40*m**3 as k*m**3 + y + z*m**4 + h*m + t*m**2 and give y.
-3
Rearrange -22*a**2 + 32*a**2 - 18*a**2 - 11 + 10*a**2 + 66*a to the form x*a + c + t*a**2 and give c.
-11
Express 1992 + 2206 + 2410 - 31*c + 1757 + 29*c in the form r + u*c and give r.
8365
Express -11 + 2*s**4 + 22*s**2 - 14*s**3 - 51*s**3 + 2*s + 64*s**3 as r*s**3 + w + d*s**2 + j*s + p*s**4 and give r.
-1
Rearrange 2*b**2 - 2*b**2 - 16*b**2 + (2*b - 7*b - b)*(16 + 4*b - 3 - 10) to j + t*b + u*b**2 and give j.
0
Rearrange 5655 - 5653 + 1585*c**2 - 227*c**2 to y*c + v*c**2 + p and give v.
1358
Rearrange (3*u - 6*u + u)*(-6*u**2 + 60 - 57 + 21*u**2) + (-2*u**2 - 2*u**2 + 11*u**2)*(-6*u + 2*u + 2*u) to the form b*u**2 + r*u**3 + a*u + z and give r.
-44
Express (250*h - 32*h + 77*h)*(-h - 3 + 3) - 9*h**2 + h**2 + 16*h**2 as x + u*h + w*h**2 and give u.
0
Rearrange -1706*l + 215*l - 1179*l - 1001*l to the form i + h*l and give h.
-3671
Express 88 - 52 - 36 + 8*r - 154*r**2 + 533*r**2 in the form i + m*r + v*r**2 and give v.
379
Rearrange (-10 + 7*b - 12*b + 8*b)*(-44 - 13 - 20) to the form o + z*b and give z.
-231
Rearrange (3*y - y - y)*(2*y**3 - 2*y**3 + y**3) + 6108 - 442*y**4 - 6108 to the form b*y**4 + i*y**2 + t + h*y**3 + f*y and give b.
-441
Rearrange 4 + 11 - 130*c**2 - 53*c**2 + 2 - 18 to s*c**2 + v*c + i and give i.
-1
Express 2230 + 903 - o**3 - 478 + 2*o**3 in the form s*o**3 + b + j*o**2 + h*o and give b.
2655
Rearrange -2631*b**2 + 17*b - 64*b + 3*b**3 + 2632*b**2 to y*b**2 + p*b**3 + n + l*b and give l.
-47
Rearrange (o - o + o + (-4*o + 0*o + 2*o)*(0 + 2 - 3) - 1 + 1 - 2*o + o + o + 0*o)*(-72 + 72 + 4*o)*(-92 - 80 + 155) to n*o**2 + c + k*o and give n.
-204
Express 356774*a + 6 - 349373*a - 6 as s*a + o and give s.
7401
Rearrange 12*c - 11*c - 8*c + (-4 + 0 + 1)*(-44 + 44 + 6*c) - 12*c - 10*c - 44*c to the form j*c + d and give j.
-91
Rearrange t**4 - 1 + 2 - 36520*t + 36545*t - 2 + 2*t**3 to the form h*t**2 + p*t**4 + o + m*t + f*t**3 and give m.
25
Rearrange ((i - 2*i**2 - i)*(0 - 3 + 2) - 3*i + 3*i + i**2 + 1048*i**2 + 893*i**2 - 596*i**2)*(-1 - 6*i + 1) to a + t*i + q*i**2 + s*i**3 and give s.
-8088
Express -5 + 6 + 1772*j - 4699*j**3 - 1774*j - 1 as a*j + v*j**2 + u + o*j**3 and give a.
-2
Rearrange (-6 + 3 + 1)*(3*n + 17*n + n) + 0*n + n + n + (-7 + 1 + 1)*(0*n - 5*n + 4*n) to the form w*n + u and give w.
-35
Rearrange (2*p**3 + 2 - 2)*((1 + 1 - 3)*(722 + 72 + 34) - 3 + 1 - 1 + (-2 - 3 + 7)*(3 - 5 + 1)) to o + x*p**2 + u*p + n*p**3 and give n.
-1666
Rearrange (-1183032*a + 4 + 2366103*a - 1184239*a)*(a**3 + 2*a - 2*a) to the form v*a**4 + t*a**2 + m + f*a**3 + g*a and give f.
4
Rearrange (d**2 - 2*d + 2*d)*(75 - d - 24 - 93) + (-4*d + 80 - 80)*(-2 + 2 - 3*d**2) to g*d**3 + x*d + q + u*d**2 and give u.
-42
Rearrange 1743 - 584 - 592 - 577 - 267*t to the form o*t + p and give p.
-10
Express ((-3*d + 2*d + 3*d)*(0*d**2 - 1 + d + d**2 + 4) + 25*d**3 - 8*d**3 - 23*d**3 - 4*d**2)*(-1 - 4 + 1) in the form s*d + f*d**3 + t + b*d**2 and give f.
16
Rearrange -3*v**4 + 0*v**4 + 4*v**4 + (8 - 5 - 1)*(25*v**4 - 7*v**4 + 6*v**4) to the form c + g*v + k*v**2 + j*v**3 + a*v**4 and give a.
49
Express (4*y**2 + 0*y**2 - 2*y**2)*(1152 + 770 + 19)*(0*y + y + 0*y) as i*y + q + k*y**2 + j*y**3 and give j.
3882
Rearrange (-1 - 173*x**4 + 3*x - x**3 - 60*x**4 + 227*x**4)*(0 + | {
"pile_set_name": "DM Mathematics"
} |
-5
(-2)/(-36)*((-112)/64 + 1)
-1/24
Calculate -25*22/(-5500)*(-8)/(-6).
2/15
Calculate (-1 - (-42)/38) + 508/(-4826).
0
What is the value of (-55 - -63 - 156/(-75)) + 10/(-125)?
10
What is 45/165 - (-387)/33?
12
Calculate (-8)/3*(-1695)/12430.
4/11
430/(-700)*5 - (28/(-8) - -3)
-18/7
What is the value of (-32 - -28)*(-10)/8 - 3/1?
2
What is ((-1)/((-20)/(-7)) + 267/(-1068))*-5?
3
Calculate (22/7 - 3)*-93 + 14/49.
-13
-7 + 489/39 + -6
-6/13
What is 1533/(-3285)*(-20)/(-6)?
-14/9
(-48697)/1254 + (-2 - -41)
1/6
16/(-12) + (-3 - -1) + (-80)/(-30)
-2/3
((-40)/(-140))/(18/105)
5/3
What is the value of (12/(-2) + 13 + 3)*(-18)/(-30)?
6
Evaluate (-6 - -7) + (36/21)/((-21)/(-343)).
29
What is the value of (-116)/12 - 130/(-195)?
-9
((-2)/(-5))/((-49)/(2744/16))
-7/5
What is 4/26*(-852 - -846)?
-12/13
What is the value of (-29)/((-725)/(-250)) - 10?
-20
What is the value of (5*45/(-75))/1?
-3
49950/6216 - 1/28
8
(386/1930)/(1/115)
23
0/15 - 11 - ((-10)/2 + 2)
-8
What is (-6 - -3)/(((-6)/16)/((-29)/(-1044)))?
2/9
Evaluate (-525)/(-1400)*160/(-132).
-5/11
Calculate ((-16)/(-8))/(((-14)/(-3))/1).
3/7
What is the value of (-8 - (-416)/24)*(66/12 + -7)?
-14
Calculate (-1 + 5/4)*2912/(-9828).
-2/27
(-315)/1200 + (-2)/(-10) - (-13)/(-104)
-3/16
What is the value of (-51 - (-6399)/135)/((-6)/20)?
12
What is the value of ((-15)/135)/(28/(-672))?
8/3
25 + (-17 - -2) + -6*4
-14
What is the value of (14/(-4) - (-8897)/2214)*(-4)/(-14)?
4/27
(-442)/(-39)*(-9)/88 - 5/(-4)
1/11
120/(-7) - (-928)/812
-16
Calculate -28*(572/(-91))/(-22).
-8
Evaluate (1/(-11))/((330/45)/22).
-3/11
What is (27/(-15))/(-3)*-36*(-160)/128?
27
What is the value of (-1815)/1089*(6 + 0)?
-10
Calculate ((-10)/(-10) + 3)*(-65)/(-20).
13
What is 45/50*1*56/36?
7/5
Calculate 14 - 1917/144 - (-2)/(-4).
3/16
(-11)/(11/(-6)) + (-148)/10 - -8
-4/5
What is 12 + (-21)/(-42)*-10?
7
What is the value of (-17 - 366/(-21))*7/5?
3/5
Calculate (61/(-12) - (341/(-44) + 8)) + 6.
2/3
(-126)/(-22) + ((-17 - -12) + 4 - 5)
-3/11
What is the value of 48/8 + -15 - -9?
0
Evaluate (21/15*16/112)/((-2)/(-18)).
9/5
What is ((-14)/(-35))/((28/525)/(1/(-10)))?
-3/4
(-94 - -88)*4/(-12)*2
4
(-46 - -43) + 27/36
-9/4
Calculate ((-8)/12*3)/((-350)/(-75)).
-3/7
What is the value of (-3)/4 - 135/972?
-8/9
What is 26/1820*42 + 3/(240/(-53))?
-1/16
Evaluate 11 - 2/(62/(-279)).
20
What is 69/12 + 1*(-63)/(-9)*-1?
-5/4
What is the value of -3*(((-636)/(-1431))/(1/12) - 2)?
-10
Calculate (-19)/(152/48) - 2.
-8
Evaluate (3 - 1)*-2*(1/(-4) + 1).
-3
-3*(-10)/18*(-1998)/(-1110)
3
Calculate -13 + 55 - (-14 - (-38 - -14)).
32
Evaluate (-222)/(-32) + 1 + (40 + -40 - 8).
-1/16
What is 21/((-7497)/34)*-42?
4
What is ((-8)/14)/(1 + (-270)/105)?
4/11
Calculate ((-85)/765)/(1/(-6)).
2/3
What is the value of (11 - 1119/102)/(4/(-8))?
-1/17
What is the value of ((-332)/(-8964))/(3/18)?
2/9
What is the value of (-12)/(-6)*((-26)/(-195))/(4/(-6))?
-2/5
What is the value of (-605)/(-77) + 6/(-14)*(-10)/30?
8
Evaluate (1 - 21) + (400/(-80))/(1/1).
-25
Calculate 3 + -18 - -8 - (-1827)/259.
2/37
(-2*((-4)/(-5))/1)/(408/(-1530))
6
(462/55 - 8)/((-124)/120 + 1)
-12
Evaluate 0 + 72/(-135)*5/2.
-4/3
-4 - 444/(-84) - (1 + 0)
2/7
What is (-4)/(-12)*0 - (40 + -14)?
-26
Evaluate ((26/884)/(7/(-28)))/(6/9).
-3/17
What is the value of ((-1)/(-9))/((-149)/(-14751))?
11
Evaluate (6 - 14 - -6)/33.
-2/33
Evaluate ((-188)/(-987))/(3 - 7*5/15).
2/7
Evaluate (-164)/(-246) - 195/9.
-21
What is the value of 4 + 72/48 + 9/(-6)?
4
What is the value of 40/(-3) - 1157/(-89)?
-1/3
Calculate ((-18)/(-22))/3 + (85696/176)/26.
19
What is the value of 6 - 2 - 6 - ((24 - 1) + -3)?
-22
What is the value of ((-412)/7)/4 - (20 + (-1932)/98)?
-15
Calculate 4*(-5 + ((-114)/(-24) - 2)).
-9
What is the value of 144/(-960)*55/33?
-1/4
Calculate 3 - 5 - (40/35)/(5/35).
-10
((-40)/75)/(3 - (18/30 + 2))
-4/3
Calculate 35/5 - (6/(-45) + 1908/135).
-7
(12 + 8261/(-693))/((-24)/(-168))
5/9
2/5 + (6/(-4))/((-2010)/(-576))
-2/67
What is 140/2310 + (-155)/(-165)?
1
What is ((-12)/36)/((-22)/(-636)) + 12/(-33)?
-10
What is ((-228)/(-24))/(-19)*-10?
5
What is (54/(-21))/((-75)/350)?
12
Evaluate (-66)/(10 - 4) + 5 + 32/4.
2
((-5)/(-675)*36)/(1/12)
16/5
Evaluate (153/(-27))/(-17) - (-460)/69.
7
What is (6/((-216)/(-30)))/(-3 + 133/21)?
1/4
Evaluate (-2)/15 - (36366/1305 + -13 + 0).
-15
What is (0 + (-6)/20)*3990/19152?
-1/16
Calculate ((-9)/14)/((-234)/546) + (-50)/44.
4/11
What is the value of ((-5)/2*(-8)/15)/4?
1/3
Calculate (-39 + 24)*((-12)/(-45))/(-4)*6.
6
What is the value of (-41)/(2583/27)*5?
-15/7
Evaluate 4/(544/(-956)) + (24 - (-22 + 39)).
-1/34
What is (2 - 1)/((-386)/(-48) + (-18)/48)?
3/23
Evaluate 192/21 - (-4)/(76/(-171)).
1/7
What is (1638/(-936))/(7/(-6))?
3/2
What is the value of -2*4/192*(-711)/79?
3/8
What is the value of 5 - -2 - ((-13)/260 - 6084/(-880))?
3/22
What is 28/(-882)*-18 - 1/(-210)*-106?
1/15
What is the value of 2/8*-2*(-6 - 130/(-21))?
-2/21
Calculate ((-16 - -5) + -5)*1.
-16
Calculate (-10)/3 + 184/(-69).
-6
Calculate 10010/(-4719) + 42/(-77).
-8/3
What is the value of 2 + -4*345/600?
-3/10
Calculate 8/22 + ((-126)/(-49))/(440/6440).
38
Evaluate -25 - (-38 - (-36 + 15)).
-8
Calculate (-5 - -5)*22/(-132).
0
Evaluate 4/49*((-1189)/58 + 24).
2/7
Evaluate 8/((-112)/126) + 5 + 2 - -2.
0
What is the value of -3*16/1224*(45/(-10) - -3)?
1/17
What is the value of (-126)/286 - (-56)/154?
-1/13
(-30)/25*(-390)/(-4368)
-3/28
What is (-1313)/65 + 64 + -44?
-1/5
Calculate 2/28 + (-702)/(-1638).
1/2
What is (-1 - 8/(-11)) + 27/99 + -1?
-1
25/(-14)*(-198)/27 - 2/21
13
What is 17 + 8 + (-616)/24?
-2/3
Evaluate ((-2)/10)/((-105)/(-7875)).
-15
Evaluate ((1098/(-78) - -16) + -2)*(-3 + 0).
3/13
(14/10 - (-248)/(-186)) + 5/300
1/12
6/7*(-4)/12
-2/7
Calculate (594/(-16) - -6) + (-520)/(-64) + -8.
-31
What is the value of 106/38 - (-17 + 780/48)*-4?
-4/19
What is the value of (44 + (-378)/7)*((-12)/(-5))/4?
-6
Calculate (-52)/39*(-6 - (-477)/78).
-2/13
What is 10/(80/(-24)) - -36?
33
Evaluate ((-16)/(-21)*(-6)/4)/((-630)/441).
4/5
7396/(-1849)*((-27)/(-4))/(3/1)
-9
(-3770)/(-2175)*((-4)/10)/((-16)/(-60))
-13/5
((-76)/(-57))/(-3 + 32/12)
-4
Evaluate (4 + -3*(-70)/(-6))/(-1).
31
What is 408/(-1020) - (-46)/(-10)?
-5
What is 14*(974/3212 - 11/121) + -3?
-2/73
What is (2 - 5/(-45)*-15) + 50/(-6)?
-8
What is 6/(-21)*-7 - 39/15?
-3/5
Evaluate (-20)/(-3)*((-42687)/(-372))/(-153).
-5
23*-1 - (-117)/((-377)/(-29))
-14
Evaluate (-287)/13 - (25 - (-978)/(-39)).
-22
Calculate (-7)/(-8) - (1/(-3))/((-264)/(-99)).
1
What is the value of (-3 - 2340/126) + 1*(-4)/(-7)?
-21
Evaluate (-36)/(-990) - (-26360)/1100.
24
Calculate (425/34 - 12)/(1 - 3 - -1).
-1/2
What is the value of ((-42)/(-48))/(80/(-320))?
-7/2
What is (-58)/4 - (-2505)/(-1670)?
-16
Evaluate 70/92 - (-151)/(-302).
6/23
Evaluate (-120)/57 + 2 - (18 + (-2076)/228).
-9
What is the value of ((-2380)/(-1904))/(30/32 - 1)?
-20
20/125*(-5)/(-6) - 939/(-45)
21
What is the value of 117/(-130)*(-30)/(-18)?
-3/2
Evaluate (-4)/(((-16)/(-4))/(-4))*18/(-18).
-4
What is ((-396)/(-495))/((-4)/30)?
-6
What is 106710/(-3720) + 29 + 2/(-31)?
1/4
Evaluate (53/(-12) - -4)*(-1 - 6/(-10)).
1/6
What is the value of -4*444/(-8448) - (-6)/(-22)?
-1/16
What is the value of (-376)/705*(-15)/6?
4/3
What is (2 - 0/8)*7/(-14)?
-1
What is (-6)/4*(30/45 - -1)?
-5/2
Calculate (-4053)/12495 + 42/119.
1/35
Evaluate 24/(-80)*8/(-12).
1/5
What is the value of 95/(-70) + 54/36?
1/7
578/29 - (-43)/11223*18
20
What is the value of (-8)/(-6) - 68/60 - (-129)/(-495)?
-2/33
(-8 - 2) + (0 - -4) + 437/76
-1/4
What is (2772/30)/7*120/72?
22
Calculate 84/(10 - -4) + -14.
-8
(-2 - 3/(-1))/(6 - 316/52)
-13
49/(-14) + 279/78
1/13
Evaluate (7 - 2/2)*67/266526*-34.
-2/39
-4 - ((-8988)/308 + 25)
2/11
Evaluate (60/168)/((-88)/(-308)).
5/4
Calculate 4/6*-12*(-35)/2380.
2/17
Evaluate (-1)/3 + 80/(-6) + 22/33.
-13
Calculate (-71 + (-28594)/(-406))/((-5)/7).
4/5
145010/(-5971) + (-18)/(-14)
-23
What is (75/975)/((-1)/(-13)) - -1?
2
What is the value of 0 + 7 + 15 + 356/(-16)?
-1/4
Calculate 215/(-100) - 164/(-41)*1/10.
-7/4
What is ((-4)/(-42))/((-48)/(-224))?
4/9
Calculate ((-448)/(-24))/14*39/(-2).
-26
What is (-24 - -18)*(-12)/(-9)?
-8
Evaluate (5*(-6)/12)/((-10)/24).
6
Evaluate 6/(-10)*110 | {
"pile_set_name": "DM Mathematics"
} |
- 2 + 4*s - 6*s**2. Suppose 5*o = -l + o + 22, -2*o + 2 = -4*l. Does 12 divide i(l)?
True
Let j(l) = -3*l + 19. Let r be j(4). Suppose 108 = -3*v + r*v. Is v a multiple of 5?
False
Suppose -4*t = 8 - 24. Let o be (3 + t)*3/7. Suppose -7*k = -o*k - 52. Is 7 a factor of k?
False
Suppose 5*q + 4*y = 6*y + 577, -q + 116 = -y. Is 41 a factor of q?
False
Let l be 8/20 + 43/5. Let t(c) = -c**3 + 10*c**2 - 4*c - 15. Is t(l) a multiple of 22?
False
Let h(g) = -g + 7. Let n be h(8). Let l(w) = -78*w + 2. Is l(n) a multiple of 8?
True
Let k(x) = 2*x**2 + 27*x + 181. Does 4 divide k(-18)?
False
Suppose -5*b = -5*v - 1535, v + 1223 = 4*b + 2*v. Let c = b - 209. Is 14 a factor of c?
False
Let j(a) = -a**2 + a + 12. Let p be j(0). Let g = -20 + p. Let r = 4 - g. Is r a multiple of 3?
True
Let l be 8/(-40) + (-22)/(-10). Suppose 3*p - 5*b + 41 = 176, -l*p + 90 = b. Does 9 divide p?
True
Suppose -114 = 315*l - 318*l. Is l a multiple of 38?
True
Let q(k) = -6*k - 20. Let i be q(-5). Suppose -6*d - i*d = -2080. Is 26 a factor of d?
True
Does 20 divide ((-212)/(-6) + -2)*(-192)/(-40)?
True
Let k(h) = 166*h - 37. Is 10 a factor of k(1)?
False
Let z = -9 + 9. Is 8 a factor of (1 - z - 0 - 2) + 21?
False
Let r be 365 + -1 - (-1 - -4). Suppose -5*y + 4*j + r = 0, 0 = -y - y + j + 142. Does 13 divide y?
False
Let j(o) = -o**2 + 47*o - 6. Let m be j(39). Suppose 0*f + 5*f - 15 = -5*s, 5*s - 23 = 3*f. Does 34 divide (s + -1)*m/9?
True
Let s(n) = -n**3 + 17*n**2 - 5*n - 48. Is s(16) a multiple of 16?
True
Suppose 22*c + 290 = 1280. Is 9 a factor of c?
True
Suppose -5*c + 4*j + 269 = -71, -3*j = -3*c + 204. Is 11 a factor of c?
False
Suppose 456 = -5*x + 1741. Let w = x - 169. Is w a multiple of 44?
True
Let y = 31 + -17. Let g = 8 - y. Is (g*(-4)/(-2))/(-2) even?
True
Let u be (0 + 10)/(2*1). Suppose -h + 4 = 0, h - 22 - 292 = -u*t. Let n = 92 - t. Is n a multiple of 15?
True
Let d(o) be the third derivative of o**6/120 - 17*o**5/60 - 5*o**4/8 + o**3/6 + 36*o**2. Is 11 a factor of d(18)?
True
Suppose g + 5*n = 62, 3*g - 4*n = 43 + 124. Is 19 a factor of g?
True
Let s = 43 - 38. Let y = 17 - s. Is y a multiple of 9?
False
Let h be (-4)/1*518/8. Let o = -111 - h. Is 18 a factor of o?
False
Let p(g) = -14*g**2 + 3*g - 4. Let m be p(-4). Let q = 338 + m. Is q a multiple of 16?
False
Let c(j) = j**3 - 7*j**2 + 5*j + 11. Let l be c(6). Let d = l - 8. Is 150/5*(-2 - d) a multiple of 9?
False
Let u(l) = 19*l - 1. Let n be u(2). Suppose 0 = -0*p + 3*p - o - n, -o + 35 = 3*p. Suppose 2*h - 2*d - 28 = 0, -p = -h + 4*d + 11. Is 3 a factor of h?
False
Is 5 a factor of (-6)/(-2)*(630/27 + -12)?
False
Let l(n) = n - 1. Let p(v) be the first derivative of v**3/3 + 7*v**2 - 5*v + 3. Let r(c) = 5*l(c) - p(c). Is r(-8) a multiple of 3?
False
Let c(z) = -z**3 + 3*z**2 + 3*z + 3. Let j be c(4). Is 2/(-2) + (j - -25) a multiple of 3?
False
Let j(g) be the first derivative of 4*g**2 + 15*g + 19. Does 7 divide j(6)?
True
Let a = -3 - -5. Suppose 3*h + a*h = -10. Let i(n) = n**2. Is 4 a factor of i(h)?
True
Let p(v) = -9*v + 5 + 5 + 3 + 15*v. Does 27 divide p(4)?
False
Let v(a) = -a + 9. Let t be v(8). Suppose 5 = 3*k - t. Suppose -4*w = -4*p - 156, -k*w + p + 110 = 31. Is w a multiple of 6?
False
Suppose 0 = 91*b - 78*b - 8034. Does 6 divide b?
True
Let g be -3*8/(-12)*1. Let n(s) = 6*s**2 + 25*s + 1. Let p(o) = -o**2 - 5*o. Let d(t) = g*n(t) + 11*p(t). Does 5 divide d(6)?
False
Is 42 a factor of 2/((-70)/(-21)) + (-15351)/(-15)?
False
Suppose 83 - 1063 = -10*z. Suppose -3*o + 2*x + z = 0, 0 = 5*o + 2*x + 3*x - 155. Is o a multiple of 16?
True
Suppose 3*b - x - 46 = 0, -2 = b + 3*x - 4. Let y be (-218)/b - (-8)/14. Does 5 divide ((-48)/(-10))/(-4)*y?
False
Suppose -2*f + 7*f = 985. Suppose -2*a - 2*c + 126 = 0, f = -0*a + 3*a - c. Is a a multiple of 7?
False
Let p = -249 - -151. Let c = -62 - p. Is c a multiple of 6?
True
Let p(v) = -3*v. Let y be p(-5). Let t = y + -12. Suppose -t*a + 72 = -a. Does 10 divide a?
False
Let l(h) = 4*h**2 + 6*h + 6. Let n(p) = 3*p**2 + 7*p + 7. Let z(f) = -2*l(f) + 3*n(f). Let q be z(-7). Is 7/(-2)*(q + -3) a multiple of 25?
False
Suppose 0 = -5*i - 3*j - 2*j + 190, 2*i - j = 70. Is 9 a factor of i?
True
Suppose 194 = 138*g - 137*g. Suppose -5*c = -2*f - 172, -5*c - 5*f - 29 + g = 0. Is c a multiple of 11?
False
Suppose 3*j + 8*j = 22. Suppose 4*a - 5*l + 10 = 158, -j*a + 48 = 4*l. Is 8 a factor of a?
True
Suppose 5*d + 4*c + 5183 + 23 = 0, -5*d - 3*c = 5207. Does 27 divide (-268)/52 + 5 - d/13?
False
Is ((-35)/(-15))/(28/12)*1289 a multiple of 45?
False
Let v = -1407 - -1913. Is v a multiple of 67?
False
Suppose -q = -3*q - 146. Let w = 142 + q. Is 11 a factor of w?
False
Suppose 5*k + 5872 = 9*k. Does 21 divide k?
False
Let k(o) = 20*o**2 + o - 2. Let t be k(1). Suppose 134 = -17*c + t*c. Is 14 a factor of c?
False
Suppose -6*f + 142 + 1028 = 0. Suppose -9*g + f = -4*g. Does 13 divide g?
True
Is 9 a factor of 20/((3 - 1) + 441/(-222))?
False
Let i = 1110 + -737. Is i a multiple of 36?
False
Suppose -3*j = -9, 4*l - j + 0*j = 533. Suppose -3*b + l + 145 = 0. Is b a multiple of 13?
False
Is 8 a factor of ((-982)/4)/((-14)/28)?
False
Suppose -3*p = -4*m - 1287, 6*p - 10*p + 3*m + 1716 = 0. Is 25 a factor of p?
False
Let k(a) = 6*a + 566. Is k(0) a multiple of 23?
False
Suppose 5*g - 13 - 22 = 0. Let k(f) = f**3 - 8*f**2 + 8*f - 3. Let a be k(g). Suppose -142 - 34 = -a*h. Is h a multiple of 12?
False
Suppose -1360 = -12*h - 172. Does 34 divide h?
False
Suppose -6320 = -563*c + 559*c. Is c a multiple of 20?
True
Let o(j) = 32*j + 20. Let g be o(5). Suppose -4*f - q + 150 = q, -5*f = q - g. Does 7 divide f?
True
Suppose 40 = -5*n - 0*n. Let w(r) = -9*r - 9. Does 14 divide w(n)?
False
Let d(j) = 6*j - 1. Let p(r) = -r**3 + 4*r**2 - 2*r - 1. Let x be p(3). Suppose m + x + 3 = -4*y, -95 = -5*m + 4*y. Does 22 divide d(m)?
False
Let s(w) = 192*w - 212. Is s(5) a multiple of 4?
True
Suppose 161 = t - 3*f, -t - 4*t + 853 = f. Does 29 divide t?
False
Let m be 10/8*(5 - 1). Let k(r) = 4*r**2 + r - 1. Let u be k(m). Suppose u = -3*a + 5*a. Is a a multiple of 13?
True
Let t(k) = 4*k**2 - 2*k + 1. Let s be t(1). Suppose 3*r + 92 = s*c + 17, -110 = -4*c + 2*r. Is c a multiple of 10?
True
Suppose -2*d + y = -359, 4*d - 601 = -y + 120. Is d a multiple of 20?
True
Suppose -8068 = -17*q + 14*q + 4*x, -q - 2*x + 2686 = 0. Does 56 divide q?
True
Let a(f) = f + 13. Let h be a(-11). Suppose 0 = -h*y + 53 + 77. Does 13 divide y?
True
Suppose -8162 - 4105 = -29*a. Is 9 a factor of a?
True
Let r(f) = -f**2 + 12*f + 17. Suppose -4*w - g = -52, 2*w = -0*w - 5*g + 26. Let v be r(w). Is ((-39)/v)/(12/(-32)) a multiple of 20?
False
Let h = 0 + -3. Let u(j) be the first derivative of 5*j**3/3 + 2*j**2 + 4*j - 19. Does 11 divide u(h)?
False
Suppose 0 = -4*x + 3*g - 2*g + 2307, g + 1731 = 3*x. Suppose 0 = -4*r - 5*a + 572, -2*a = -4*r - 6*a + x. Is r a multiple of 37?
True
Let a(c) = 38*c + 8. Let m(y) = -y**2 - 11*y - 20. Let k be m(-8). Is 13 a factor of a(k)?
False
Suppose -7*b - 2335 = -12*b. Is b a multiple of 24?
False
Suppose 25*i - 24*i = -2, 3*i - 1349 = -5*y. Does 52 divide y?
False
Suppose -c + 3*c - 14 = 5*d, -5*c - 3*d = -4. Suppose -4 = -c*i - 0*i, 0 = l - 3*i + 4. Suppose -41 = -3*q + 4*w, -q + l*w - 6*w = -35. Is 14 a factor of q?
False
Suppose 5*w + 2*t + 45 = 0, 0 = -3*w - 0*w + 2*t - 43. Let z = w + 13. Suppose -z*s = 5*q - 57, -s - 4*q + q + 30 = 0. Is 6 a factor of s?
False
Suppose 3*b + 2*b - 255 = 0. Suppose -55 = -n - 5*d + b, 106 = n + 3*d. Is 24 a factor of n?
False
Let g = 10 + -5. Suppose 3*x - 3*o - 2 + g = 0, -21 = -3*x - 5*o. Suppose -x*y = -3*y + 16. Is 7 a factor of y?
False
Suppose 5*r - 5 = -5*u, 2*r - 4 = 4*r + 5*u. Let d be 37/r - (-2)/(-6). Suppose -4 = -a - 3*l, -5*l = 4*a - 11 - d. Is 2 a factor of a?
False
Let o(j) = j + 4. Let z be o(-7). Let s be z/(-5 - 1)*4. Suppose s*l = 6*l - 60. Does 15 divide l?
True
Suppose 5*a = 3*a + 772. Suppose -2*w + 12 = -5*w, 5*n + w = a. Is 26 a factor of n?
True
Let y be -124 - -10 - 1*2. Let o = -48 - y. Does 34 divide o?
True
Suppose -2*j + 3*w = -2*w - 50, 3*j - 37 = -2*w. Let i = 18 - j. Suppose -i*c = -10*c + 98. Does 9 divide c?
False
Let y = -2411 + 3633. Does 62 divide y?
False
Suppose 2*a - 3 = -1. Let j be (a | {
"pile_set_name": "DM Mathematics"
} |
*a).
-187*a**5 - 2*a**4
Expand (6*n + 17 + 16 - 30 - 18*n**2)*(-2*n + 3*n + n).
-36*n**3 + 12*n**2 + 6*n
Expand (-42 + 86268*w - 3*w**2 - 86268*w)*(3 - 2 - 3 + (-5 - 1 + 4)*(-2 + 2 - 1) - 2 - 2 + 3).
3*w**2 + 42
Expand (-v + 0*v - 7*v)*(-4 + 1 - 3).
48*v
Expand (-61 - 79 - 30 + 22)*(3*a**2 - a**2 + 0*a**2).
-296*a**2
Expand -3 + 3 - 15*m**3 + (-5*m**2 - 2*m**2 + 4*m**2)*(12*m - 2 - 23*m + 0).
18*m**3 + 6*m**2
Expand (-1 + 1 + 4)*(0 - 3 + 4)*(2 - 1 + 2)*(6*n + 0*n - 8*n)*(-4*n**2 + 2*n**2 + 4*n**2).
-48*n**3
Expand (1 - 3 + 1)*(-50*q - 17 + 48*q - 29).
2*q + 46
Expand (4 - 4 + 7*q**2)*(-3*q**3 + 0*q**3 + 2*q**3) + (2 - 2*q**4 - 2)*(22 - 22 - 9*q) + 4*q**5 - 2*q**5 + 0*q**5.
13*q**5
Expand (3*c - 4 + 4)*(-1 + 1 - 2)*(-58*c + 58*c + 23*c**2 + (-c + 2*c + 2*c)*(2 - 2 + 2*c)).
-174*c**3
Expand -2*d**2 - d + d + d + (-5 + 5*d + 5)*(-2*d + 13 + 4 - 2).
-12*d**2 + 76*d
Expand (132*b - 262*b + 77 + 129*b)*(3*b**2 + 0*b**2 - 4*b**2).
b**3 - 77*b**2
Expand 37*j**2 + 23*j**3 - 37*j**2 + (5 + 13 - 6)*(-2*j**3 - j**3 + 4*j**3).
35*j**3
Expand -2*j + 3 - 3 + 2*j - j + j + (-2 - 2*j + 2)*(1 - 3 + 0) + 4*j - j - j - 5*j - 5*j + 5*j - 21 + 21 + 15*j + (-2 - 5 + 2)*(2 + j - 2).
11*j
Expand (-3*t**3 - t + 4*t**3 + 0*t)*(404 + 402 - 805 + 347*t).
347*t**4 + t**3 - 347*t**2 - t
Expand (1 - 4 + 1)*(-3*k + 3*k - k) + 4*k - 5*k + 5*k - k - 1 + 1 + 1.
5*k + 1
Expand (-1 + 2 + 5)*(57*c - 111*c + 96*c).
252*c
Expand -2*d - 2 + 0*d**3 + d**3 - 3*d**3 + 2*d**3 + 2*d**3 + d**3 + (0*d**2 - 3*d**2 + 5*d**2)*(-3 + 2*d + 3).
7*d**3 - 2*d - 2
Expand (7*l**4 + 9*l - 9*l)*(-5 + 2 + 6) + l**4 + 8*l**4 - 11*l**4.
19*l**4
Expand (10 - 1 + 0)*(9*m**2 - 12*m**2 + 6*m**2 + (-3*m + m + m)*(-5*m + 6*m + 0*m))*(0*m + m - 3*m).
-36*m**3
Expand (5*s**3 - 3*s**3 - s**3)*(1 + s**2 - 1) + (s**4 + 5*s**4 + s**4)*(3*s - 5*s + 0*s).
-13*s**5
Expand (3*s**2 + 0*s**2 - 5*s**2)*(15*s - 26*s + 4*s**3 - s**3).
-6*s**5 + 22*s**3
Expand (3*n**3 + 7*n**3 + 40*n**3)*(0 + 1 + 0)*(-4 - 2 + 2).
-200*n**3
Expand (-a**3 + 3*a**3 + 0*a**3)*(37 - 169 + 69 + 61 - 757*a).
-1514*a**4 - 4*a**3
Expand 2*p**5 + 0*p**5 + 0*p**5 + (-p**2 + 3*p**2 - 4*p**2)*(-p**3 + 0 + 0) - 3*p**5 + 3*p**5 - p**5 + (-1 + 1 + p**3)*(-4 + 8 + 1)*(4*p**2 - p**2 - 4*p**2).
-2*p**5
Expand (5 + 6 - 23)*(-29*o - 4*o**2 + 29*o).
48*o**2
Expand -c**5 - 5*c**5 + 3*c**5 + (-2*c**2 + 1 - 1)*(0*c**3 - 2*c**3 + 4*c**3) + 161*c**4 - 2*c**2 + 5*c**5 - 161*c**4 + 2*c**3.
-2*c**5 + 2*c**3 - 2*c**2
Expand (3*p + 63 - 91 - 59)*(-2*p**2 + 5*p**2 - p**2).
6*p**3 - 174*p**2
Expand 2*l - l - 3*l + 3 - 3 + l + (-5 - 2*l + 5)*(-4 + 1 + 2) - 1 + 1 - 2*l - l + 3 - 3 - 4*l - 29*l - 2*l + 0*l + 0*l + 2*l.
-35*l
Expand (-4*j + 2*j + 0*j)*(-j - 3*j + 0*j) - 3*j**2 + 0*j**2 + 5*j**2 + (0*j + 0*j + 2*j)*(0*j + 4*j - 2*j).
14*j**2
Expand (-7 + 7 - 2*i)*(3*i - i - 3*i) + (-2*i + 2*i + i)*(3*i - i - i).
3*i**2
Expand (-k + k - 3*k)*(-4 + 6 + 0 - 5 + 1 + 6 - 1 + 2 - 3 + (-3 - 3 + 5)*(-5 + 2 + 5) + 0 - 1 + 2 - 3 + 3 - 2)*(-112 - 77 + 18).
-513*k
Expand (-1 + 3 - 4)*(-14 - 10 - 22)*(-3*v + 5*v + 5*v)*(v**2 - v**2 + 2*v**2).
1288*v**3
Expand (3*q - 109 + 109)*(6*q**3 + 12*q**3 - 7*q**3).
33*q**4
Expand (-z + 4 - 4)*(4*z - 2*z + 55 + 2*z**4 - 39).
-2*z**5 - 2*z**2 - 16*z
Expand (u + 6*u + 6*u)*(2*u**2 - 2*u**3 - 2*u**2)*(-4 + 0 + 2)*(7 - 5 + 9).
572*u**4
Expand (134 + 52 - 24)*(2 + 4*j - 2).
648*j
Expand (-51 + 24*s + 51)*(-9*s**2 + 4*s**2 + 4*s + 4*s**2).
-24*s**3 + 96*s**2
Expand (5*f + 5*f - 11*f + 2)*(0 + 0 - f).
f**2 - 2*f
Expand (-9*c + 8*c + 165*c**4 + 59*c**4)*(-1 + 2 + 0) + 4*c**4 - 3*c**4 + c**4.
226*c**4 - c
Expand (-2*n - 3*n + n)*(-2*n + 2*n + 2*n**2) + (0*n - 2*n**2 + 0*n)*(-2 + n + 2) - 15*n**3 - 11*n**3 - 4*n**3.
-40*n**3
Expand (-5 + 3 + 4 - 2 + 0 + 3 + (3 + 2 - 3)*(-4 - 3 + 5) + 5402 - 1965 - 2621)*(-1 + 1 + o**3).
815*o**3
Expand (4 + 1 - 6)*((5*l - 4*l - 3*l)*(-2 - 1 + 1) - 4 - l + 4 - l - 1 + 1).
-2*l
Expand 0*k + 0*k - 2*k**5 + (4 - k**3 - 4)*(48*k**2 + 37*k**2 + 19*k**2).
-106*k**5
Expand -a**3 + 0 + 0 + (0*a + 2*a + 0*a)*(2*a - 2*a + a**2) + (37 - 37 + 3*a**3)*(1 + 2 + 0) - a**3 + 0*a + 0*a.
9*a**3
Expand (-2253*g**3 + 2252*g**3 + 2 - 6*g + 5*g**2 - 8*g**2)*(6 + 3 - 7).
-2*g**3 - 6*g**2 - 12*g + 4
Expand -1 - x + 1 + (-5 + 4 + 0)*(1498*x + 1414*x - 2831*x).
-82*x
Expand (4*k + k - 4*k)*(-316*k + 284*k - 71*k - 581*k).
-684*k**2
Expand (-b + 0 + 0)*(-b + 2*b + b) + 6*b**2 - 3*b**2 - 4*b**2 - b**2 - 3*b**2 + 3*b**2 + 146*b + 2598 - 2598 + 3*b**2.
-b**2 + 146*b
Expand ((-2 - y + 2)*(4 + 0 - 2) - y + 4 - 4 + 3*y + 5*y - 6*y + 46 - 9*y - 46)*(-4*y**2 - 2*y**2 + 5*y**2)*(3 + 1 - 3)*(-1 + 2*y**2 + 1).
20*y**5
Expand -h**3 + h**3 + 2*h**5 + (144 - 8 - 70)*(4*h**5 + 0*h**5 - 2*h**5).
134*h**5
Expand (-2 - 1 - 6)*(-5*j - 8*j - 2*j + 5*j + j - 4*j + (-3 - 2*j + 3)*(2 - 1 + 0) + 2 - 2 - 2*j).
153*j
Expand (1 + 2 - 6)*(0*y + 5*y - 3*y) + 0 - 4 + 2 + 25*y.
19*y - 2
Expand ((0 + 0 - 3*p)*(-13 - 9 + 9) + p - 3*p + 42*p)*(0 - 2 + 3 + (1 - 1 - 2)*(3 - 1 - 1)).
-79*p
Expand (101 + 115 - 182)*(-q**2 + 3*q**2 - q**2).
34*q**2
Expand -113*z**3 + 260*z**2 - 260*z**2 + z**3 + z**3 - 9*z**3 + ((2*z - 2*z + z**2)*(4 - 3 - 3) - 3 + 3 + z**2 - z**2 - z**2 + 0*z**2)*(z - 2*z - z).
-114*z**3
Expand (-4*t - 4 + 4)*(-4 + 2 - 1) - 69 + 69 - 41*t + (0 + t + 0)*(0 - 2 + 0).
-31*t
Expand (-2 - 3 + 3)*(-57*w**2 - 49*w**2 - 89*w + 108*w**2 - 12*w**3).
24*w**3 - 4*w**2 + 178*w
Expand (-41*d - 53*d + 44*d)*(d - d**2 - d + (3*d - 5*d + 0*d)*(3 + 2*d - 3) + 2*d**2 + 0*d**2 - 3*d**2 + d**2 + 0*d**2 + 0*d**2 + 3*d**2 - 6*d**2 + 0*d**2).
400*d**3
Expand (2*b**2 + 0*b**2 - b**2)*(0*b + b**2 + 0*b) - 276284*b**4 + 276365*b**4 - 6 + 2.
82*b**4 - 4
Expand (-27*i**2 - 3*i**2 + 3*i**2)*(i - 4*i + i)*(0*i - i**2 + 0*i).
-54*i**5
Expand (-11*p + 5*p - 16*p)*(-3*p**2 + 2*p**2 - 6*p**2).
154*p**3
Expand (-p + 2*p - 3*p)*(-12 + 6 - 4) + 2 + p - 4*p + 2*p.
19*p + 2
Expand (-224 + 224 - 23*p)*(1 - p - p - 2).
46*p**2 + 23*p
Expand (1847*l + 848 - 848)*(-1 + 0 + 3).
3694*l
Expand (0*i + 0*i - i)*(-3 + 0 + 4) - 3*i + 3*i - 2*i + (-9*i + 18*i + 2*i)*(2 + 0 - 4) - i - 1 + 1 + 2 - 2 + i.
-25*i
Expand (-4 - 3 + 4)*(-6*l - l + 0*l)*((-2*l + 7*l - 3*l)*(2*l + 2*l - 2*l) - 7 + 7 - 3*l**2 - 3*l**2 - 1 + 1).
-42*l**3
Expand (5*g - g - 3*g)*(2 - 1 + 4) + 1355*g - 19 - 1356*g + 0.
4*g - 19
Expand 3*d - 975*d**2 + 975*d**2 - 57*d**5 - 2*d**5 + 2*d**5 + d**5 + d**3 + 2*d**5 - d**3 + (3*d**3 + 2*d**4 - 3*d**3)*(d + 3*d - 6*d).
-58*d**5 + 3*d
Expand (-6*y + 22*y + 0*y)*(5*y - y - 2*y) - 2*y**2 - 2*y**2 + 5*y**2.
33*y**2
Expand ((3 - 2 + 0)*(6*g - 3*g - g) - 4*g - g + 4*g)*(-g + 0*g - 4*g)*(148*g - 134*g**2 - 148*g).
670*g**4
Expand ((-3 + 1 + 4)*(-3 - 2 + 3) - 229 + 75 - 363)*(-4 + 1 + 2)*(3*s - 2*s - 2*s).
-521*s
Expand -321*i - 8 + 18 + 271*i - 10 + (-3 + 2 + 2)*(-2 - 2*i + 2).
-52*i
Expand 3041*y**2 - 182*y**4 - 3041*y**2 + (y - 3*y + y)*(-y**3 + y**3 + y**3) + y**4 + 0*y**2 + 0*y**2.
-182*y**4
Expand (-2*c + 2*c - 2*c)*(2 - 2*c - 2) + 126*c**2 - 56*c**2 - 71*c**2 + 3 + 30*c.
3*c**2 + 30*c + 3
Expand (52 - 25 + 182)*((m**2 + 0*m**2 + 0*m**2)*(3*m - 4*m + 0*m) + 2*m**3 - 4*m**3 + m**3 + (-4*m - 3*m**2 + 4*m)*(-2*m + 3*m - 2*m)).
209*m**3
Expand 2*l - 2*l - l**2 - 1 + (12*l**2 + 7*l**2 + 7*l**2)*(0 + 1 + 1) + 2*l - 4*l**2 - 2*l.
47*l**2 - 1
Expand (-5*a**2 - 2*a**2 - 2 + 5*a**2)*(3*a + 2*a - 7*a) - 152*a**3 + 956*a - 956*a + a - a - 2*a**3.
-150*a**3 + 4*a
Expand ((-3 + 2 + 0)*(-3 + 0 + 4) + (5 + 2 - 4)*(-1 - 3 + 2) - 3 - 3 - 1)*(p**2 + p**2 - 5*p**2) - p + p - 2*p**2.
40*p**2
Expand -s - s + s + (34*s + 4*s - 12*s)*(-1 + 2 + 2).
77*s
Expand (138*b - 138*b + 64*b**4)*(-3*b + 0*b + b - 4*b + 5*b - 2*b - b - 1 + 1 + (0 + 4 - 6)*(2 - 2 + 2*b) - 2*b + 1 - 1 + 2*b + 1 - 1).
-512*b**5
Expand (4 - 1 - 4)*(584 - 3*f**3 - 586 + 5*f**3 - f**2 - 9*f).
-2*f**3 + f**2 + 9*f + 2
Expand (597*l + 1563*l - 150*l)*(-2*l**4 - l**4 + 5*l**4).
4020*l**5
Expand ((h**2 + 4*h**2 - 3*h**2)*(5 - 3 - 4) + 0*h**2 + 0*h**2 - h**2 + 121 - 121 + 19*h**2)*(4 - 2 + 3)*(-2*h + 0 + 0).
-140*h**3
Expand (-g + 5*g - 2*g)*(0*g**3 - g**3 + 2*g**3) + 19*g**4 + 813*g**3 - 802*g**3 + 9*g**4.
30*g**4 + 11*g**3
Expand 1413*l - 1412*l + 10 - 73 - 2 + 2 - l + 3 - 2*l - 3 - 3 - l + 3 - 1 + 1 - 2*l + 2*l + 2 - 2 + (-l - 2*l + l)*(2 + 0 - 4) + 2*l - 1 + 1.
3*l - 63
Expan | {
"pile_set_name": "DM Mathematics"
} |
rob of sequence ad when two letters picked without replacement from {d: 5, a: 8}?
10/39
Calculate prob of sequence nj when two letters picked without replacement from {a: 2, n: 2, j: 3, v: 4}.
3/55
Three letters picked without replacement from gggvkgbgbevgv. What is prob of sequence kkg?
0
What is prob of sequence yy when two letters picked without replacement from {r: 2, y: 4, p: 1, w: 2}?
1/6
Four letters picked without replacement from {f: 2, g: 4, s: 6}. What is prob of sequence gfss?
2/99
Four letters picked without replacement from fpppffppfpppfp. What is prob of sequence fppf?
60/1001
What is prob of sequence uj when two letters picked without replacement from {u: 4, j: 2, i: 2, f: 2}?
4/45
Four letters picked without replacement from {i: 6}. What is prob of sequence iiii?
1
Two letters picked without replacement from {k: 1, a: 1, z: 2, i: 1, b: 1, j: 1}. What is prob of sequence ib?
1/42
What is prob of sequence dddd when four letters picked without replacement from kdddddddddddddd?
11/15
Calculate prob of sequence oo when two letters picked without replacement from {f: 6, o: 2}.
1/28
Calculate prob of sequence kl when two letters picked without replacement from baanwklbbllalbbb.
1/60
Four letters picked without replacement from {f: 4, m: 2}. Give prob of sequence ffmf.
2/15
Four letters picked without replacement from qktvkq. What is prob of sequence qkqk?
1/90
What is prob of sequence vvvj when four letters picked without replacement from {j: 3, v: 1}?
0
What is prob of sequence eej when three letters picked without replacement from {e: 3, p: 1, u: 11, j: 2, a: 1}?
1/408
Three letters picked without replacement from dzbrudc. Give prob of sequence ucr.
1/210
Two letters picked without replacement from {a: 4, p: 1, i: 4, t: 5, u: 1, f: 3}. What is prob of sequence up?
1/306
Calculate prob of sequence aw when two letters picked without replacement from aqnwq.
1/20
Three letters picked without replacement from {h: 6, b: 1, o: 3, x: 3}. Give prob of sequence hxh.
15/286
What is prob of sequence umm when three letters picked without replacement from uuumuuumuummuu?
5/91
Two letters picked without replacement from emeccmgeemcccc. What is prob of sequence gm?
3/182
Calculate prob of sequence yjnk when four letters picked without replacement from {n: 1, y: 2, k: 6, f: 1, j: 9}.
3/2584
Three letters picked without replacement from {b: 1, o: 1, i: 2, y: 2, c: 2}. What is prob of sequence iyy?
1/84
Two letters picked without replacement from pkakmkmkkamak. What is prob of sequence am?
3/52
Two letters picked without replacement from {u: 5, t: 2, f: 2}. Give prob of sequence fu.
5/36
Calculate prob of sequence vv when two letters picked without replacement from {v: 11, u: 3}.
55/91
What is prob of sequence ne when two letters picked without replacement from eeettan?
1/14
Two letters picked without replacement from mwemwnlmmcmwnmn. Give prob of sequence lw.
1/70
Four letters picked without replacement from mmedapmpdppemm. What is prob of sequence pmed?
10/3003
Three letters picked without replacement from qnnnqqnnnnnqnnnnnnn. What is prob of sequence nqn?
140/969
Three letters picked without replacement from uxxxuuuu. Give prob of sequence uxu.
5/28
Two letters picked without replacement from {h: 3, k: 1, i: 2, d: 1, e: 6}. Give prob of sequence id.
1/78
Three letters picked without replacement from spsssspissssppppsps. What is prob of sequence pip?
7/969
Three letters picked without replacement from mawaawa. Give prob of sequence aaw.
4/35
Calculate prob of sequence rr when two letters picked without replacement from {e: 2, r: 3}.
3/10
What is prob of sequence jj when two letters picked without replacement from bzzjjjcczczczcckz?
3/136
Two letters picked without replacement from xkqqqqokikkq. Give prob of sequence io.
1/132
What is prob of sequence ot when two letters picked without replacement from eeetgtgtetetgto?
1/35
Two letters picked without replacement from {n: 1, u: 11}. Give prob of sequence nu.
1/12
What is prob of sequence blql when four letters picked without replacement from {q: 3, l: 2, a: 5, c: 3, b: 5}?
1/2448
Four letters picked without replacement from ypsoydos. Give prob of sequence sdyy.
1/420
What is prob of sequence nn when two letters picked without replacement from nnattntnatat?
1/11
What is prob of sequence sft when three letters picked without replacement from {f: 1, i: 1, c: 5, s: 1, t: 1}?
1/504
What is prob of sequence xl when two letters picked without replacement from zxzllzzlxlll?
1/11
Three letters picked without replacement from wwbq. What is prob of sequence qwb?
1/12
What is prob of sequence ror when three letters picked without replacement from hououhxrxhooourr?
1/112
What is prob of sequence sm when two letters picked without replacement from usmstumapsammuu?
2/35
What is prob of sequence hvd when three letters picked without replacement from {x: 4, y: 7, d: 1, h: 4, v: 2}?
1/612
Calculate prob of sequence ujjq when four letters picked without replacement from {q: 1, j: 7, a: 1, u: 8}.
1/170
What is prob of sequence dekd when four letters picked without replacement from {e: 9, k: 8, d: 2, n: 1}?
2/1615
What is prob of sequence osd when three letters picked without replacement from dodcccccscsdsc?
3/728
Two letters picked without replacement from {m: 1, q: 2}. Give prob of sequence qq.
1/3
What is prob of sequence eke when three letters picked without replacement from {k: 3, x: 2, e: 4, i: 9}?
1/136
Three letters picked without replacement from mfum. Give prob of sequence umm.
1/12
Three letters picked without replacement from {m: 4, u: 2, j: 4}. Give prob of sequence mjj.
1/15
Two letters picked without replacement from gmmmhmahbb. Give prob of sequence mm.
2/15
What is prob of sequence bbo when three letters picked without replacement from aobooboodb?
1/24
Calculate prob of sequence oqto when four letters picked without replacement from ttoqtoqtot.
1/84
Two letters picked without replacement from {b: 1, e: 2, z: 2}. What is prob of sequence zb?
1/10
Four letters picked without replacement from {f: 1, y: 1, k: 1, q: 2, a: 1, g: 1}. What is prob of sequence gayf?
1/840
Two letters picked without replacement from jrhhlmm. What is prob of sequence lr?
1/42
Calculate prob of sequence bup when three letters picked without replacement from {c: 1, u: 5, q: 1, b: 2, p: 1}.
1/72
Calculate prob of sequence aa when two letters picked without replacement from {a: 15, d: 4}.
35/57
Four letters picked without replacement from {u: 3, a: 2, g: 4, n: 1, c: 1, k: 1}. What is prob of sequence unag?
1/495
What is prob of sequence ggg when three letters picked without replacement from {x: 2, g: 3, b: 6, i: 1, k: 2}?
1/364
Three letters picked without replacement from tnonnnntnnlnnnln. Give prob of sequence nno.
11/336
Calculate prob of sequence vxx when three letters picked without replacement from sxvvsssvxvlvssxvxxs.
20/969
Two letters picked without replacement from emeeeeem. What is prob of sequence em?
3/14
What is prob of sequence ee when two letters picked without replacement from {e: 2, j: 1, g: 2, m: 2, a: 1, r: 1}?
1/36
Calculate prob of sequence fffq when four letters picked without replacement from {q: 9, f: 9}.
21/340
What is prob of sequence nln when three letters picked without replacement from {l: 3, n: 8}?
28/165
Three letters picked without replacement from ncnnxxxgnn. What is prob of sequence cnn?
1/36
Calculate prob of sequence bba when three letters picked without replacement from {b: 2, a: 1, n: 2}.
1/30
Calculate prob of sequence tarr when four letters picked without replacement from aannrrnrarnntnrn.
1/728
Calculate prob of sequence xq when two letters picked without replacement from {f: 3, c: 8, x: 3, q: 2}.
1/40
Three letters picked without replacement from {o: 7, z: 1, k: 3, q: 5, h: 2}. Give prob of sequence qqh.
5/612
What is prob of sequence sjjd when four letters picked without replacement from {e: 5, j: 4, s: 1, d: 3}?
3/1430
Four letters picked without replacement from ozzsyfosfzoeseof. What is prob of sequence fsoe?
3/1820
What is prob of sequence al when two letters picked without replacement from {a: 5, l: 8}?
10/39
Three letters picked without replacement from dhdkodouho. What is prob of | {
"pile_set_name": "DM Mathematics"
} |
5*l. Solve 3*x = -4*v - 2*x - h, -5*v - t = -2*x for v.
-5
Suppose 5*d = -a + 45, 3*d - 4 - 8 = 0. Suppose a = -7*r + 60. Solve -3*z + 10 + r = 0, -2*z = 2*j - 8 for j.
-1
Let r(v) = 6*v**2 - 2*v - 12 + 32 + v**3 - 3*v**2 - 22. Let f be -1*2*3/2. Let o be r(f). Solve -o*w + u + 13 = 0, 5*u + 2 = -4*w + 3*w for w.
3
Suppose -2*l + 3*j + 116 = 2*l, -86 = -3*l + 2*j. Suppose 0*i = 2*i - l. Suppose -5*p = -22 - i. Solve p*o - 2*a + 26 = 3*o, -a + 28 = -5*o for o.
-5
Let d(r) = -r**3 - 3*r**2 + 8*r + 19. Let b be d(-4). Let u be 1 - 0 - (0 + (-12)/b). Solve 2*m - 2*j + 2 = u*m, -14 = -5*m + 2*j for m.
2
Suppose -2*l + 16 = 5*c, 9*c - 10*c + 2 = 0. Solve -2*y = -2, 4*t - l*y - 1 = -0 for t.
1
Let a(z) = z**3 - 6*z**2 + 5*z - 4. Let y be a(4). Let g be 204/10 + y/40. Solve h = -5*w + 3*w, 2*w - g = 4*h for h.
-4
Let f(l) = -l**2 - 2*l + 5. Let k be f(-3). Suppose -v + k = 5, 48 = 3*b - 5*v. Solve 0 = -j + 2*d - 12, 16 = -j + 5*d - b for j.
-2
Suppose -41*h = -35*h - 36. Suppose -h*b + 7*b - 9 = 0. Solve -4*u - b = 5*l, -u + 3*u + 3 = -l for u.
-1
Suppose 3*m - 137 = -125. Solve -m*k = -4*r, 4 = k - 1 for r.
5
Suppose 0 = -3136*u + 3144*u. Solve n + 11*d - 2 = 12*d, u = -2*d for n.
2
Let a = 14 + -9. Let h = 7 - a. Suppose 4*i - 2*w = 3*w + 31, -3*w = h*i + 1. Solve 0 = -0*q - 5*q - i*j - 4, -3 = 3*j for q.
0
Suppose 18 = -12*o + 11*o. Let n be (-40)/(-18) + -2 + (-140)/o. Solve 2*w + n = 0, -4 + 3 = z - w for z.
-5
Suppose -4*x + 5*h = -32 - 68, -3*x + 5*h + 70 = 0. Let a be 4 + (-1)/((-2)/x). Solve -3*t + 0*t = j - 15, t + 5*j = a for t.
4
Let b = -11 + 39. Suppose p + 12 = -4*t, t - b = -5*p + 3*t. Solve -4*n + 4 = -o + 2*o, -5 = p*o - 5*n for o.
0
Let j = -25 + 29. Let w = 0 + j. Solve 5 = -w*o - m, 0 = -2*o - 2*m - m - 5 for o.
-1
Suppose 0 = -d - 3*d - 3*l + 107, 0 = d - 5*l - 44. Let a = -24 + d. Solve 3*p + 4 = 5*x, a*p + 7*x - 2*x + 20 = 0 for p.
-3
Let w = 5 + -2. Let y(s) = w*s - 12 - 4*s - s. Let n be y(-9). Solve -3*j + 4 = -j + 2*t, 3*j + 2*t - n = 0 for j.
2
Let y = 771 - 771. Solve 4*s + 3*r = -y*r - 4, 0 = -2*r for s.
-1
Suppose 4*d = 2*y + 8, -2*y - 2 + 0 = -d. Suppose 3*g - 6 = -a - 4, -d*g - 17 = -3*a. Solve 3*i + 2*l + 2 = 3, i + 2*l = -a for i.
3
Let a(l) = -l**3 + 10*l**2 - 16*l + 4. Let y be a(8). Suppose -44 = -2*g - 2*x + 4*x, 2*g - 52 = y*x. Solve 2 = 5*m - 2*u, -2*u - 3*u + g = -m for m.
2
Let o(w) = -3*w**2 - 44*w + 18. Let j be o(-15). Solve 4*b - 32 = 4*r, j*r - 11 + 0 = -4*b for r.
-3
Let q = 7 + 12. Let o = 22 + -32. Let z = q + o. Solve -2*j + 3*v = -z, v + 3 = -4*j - 0*v for j.
0
Suppose 4*c + 3*c - 196 = 0. Suppose 5*q - 15 = 0, c = 3*p - 2*q + 10. Solve 3*i - z = p, -4*z + z = 15 for i.
1
Suppose -2*h - 10 = -5*q, 2*q - 4*h = 7*q + 20. Suppose -d = -q*d. Solve d = 3*n, 0*n = 5*j - n - 15 for j.
3
Let a = -36 - -57. Let i be (2 - (-120)/a)*(-42)/(-9). Solve -5*k - i = 4*r, r - 7 + 23 = -3*k for k.
-4
Suppose 9 = -5*c - 1, 3*m - 5*c + 104 = 0. Let l = m + 38. Solve -4*k - 5*f - 29 = l, 2*k + 9 = -4*f - 13 for k.
-1
Let s(j) = -2*j**2 - 36*j + 133. Let n be s(-21). Let m = 16 + -11. Let a = -3 + m. Solve 0 = -2*k + 4*i - 14, 2*k = n*k + i + a for k.
-1
Suppose -4*u + 1 = -19. Suppose 5*k + 7 = 4*w - 0*w, 25 = 5*k. Suppose 4*g + 0 = 76. Solve -4*o + g = -5*n, u*n + 3 = -4*o - w for n.
-3
Suppose 2*c + 4*h + 134 = 0, -7 - 127 = 2*c - 5*h. Let r = 102 + c. Let i = r + -34. Solve -2*l - g = 11, 3*g - 2 - i = 3*l for l.
-4
Let n = -5 + 11. Let t be n/27 - (-438)/(-27). Let q = -14 - t. Solve 3*s + q + 4 = -3*f, 3*s = -3 for f.
-1
Suppose 0 = 4*q + 2*u - 18, -13*u = 4*q - 8*u - 33. Solve f = -2*d + 2*f - 6, -5*d + q*f - 17 = 0 for d.
-5
Suppose -12*w + 13*w - 2 = 0. Solve 4*s + w*a = 0, -2*a + 4 = -2*s - 2 for s.
-1
Let t = -556 - -556. Solve -4*u + 4*i - 5*i = -21, t = -u + 4*i - 16 for u.
4
Suppose -85*w + 97*w = 0. Solve -2*h + 2*y + 16 = w, -5*y - 28 = -0*h - 2*h for h.
4
Suppose 7*l + 216 = 13*l. Solve -5*u = -4*k - 17, -4*k = 5*u - l + 3 for u.
5
Let l be (-5 + 1 - -12)*1/2. Solve l*g - 20 = 0, 6*g - g = -2*k + 19 for k.
-3
Suppose -2*f = -5*a + 16, 0*a - 14 = -3*a - f. Solve a = 4*u, -2*w + 2*u = -0*u + 8 for w.
-3
Suppose 0 = -4*w + 15 + 1. Let u(m) = 3*m. Let x be u(6). Solve 2 = 4*z + 2*t, -4*z + x = w*t + 6 for z.
-2
Let i be (-130)/13*(-2)/5. Solve -10 = 5*w, 5*p - w + i*w + 11 = 0 for p.
-1
Suppose 0 = -2*v - 3*v + 20. Suppose 8 = -v*p - 20. Let b = p - -12. Solve 5*i - 5 = -b*k, -5*i + 31 = -4*k + 8 for k.
-2
Let g(z) = -z**3 - 4*z**2 + 1. Let w be g(-4). Solve w = -4*l + c - 7, 0 = 2*l + 5*c + 4 for l.
-2
Let o = 61 + -49. Suppose 5*z - o = 23. Solve t + 2*r = 4*r - z, 4*r = -5*t + 7 for t.
-1
Suppose 0 = -195*d + 207*d - 72. Solve 4*p + 0 = o + d, -3*o = p - 8 for p.
2
Let q be (-88)/11*7/(-28). Solve -q*p - 3*p + 36 = 4*t, -4*t + p + 12 = 0 for t.
4
Let h be -4 - (-8 + 4 + -12). Suppose 4*d = -5*q + 49 + 23, -q - 2*d = -12. Solve -2*g = -2*u + 2*g + q, -u - h = 3*g for u.
0
Suppose -6 = 3*w - 5*w. Suppose -w*t - 23 = -4*x, -2*t + 1 = 4*x + 3. Let c = 5 + t. Solve c = 4*m + 5*u - 17 - 11, -2*m - 3*u + 16 = 0 for m.
2
Suppose 0 = -96*l + 89*l. Solve 5*x - 3*a - 11 = l, -10 = 2*x - 4*x + 4*a for x.
1
Let l = 461 - 449. Solve -o + 14 = -3*i, -o + 9*i - 16 = l*i for o.
-1
Suppose -683 = -5*x - 2*s - 547, -3*x + 94 = -5*s. Solve -2*a = 5*b + 31, -a = b + 4*b + x for b.
-5
Let o(b) = -b**3 - 8*b**2 - 3*b - 20. Let s be o(-8). Suppose 5*g + 2*m = g + 116, -104 = -s*g + m. Solve -5 = q, 4*t + 0*q + 3*q + g = 0 for t.
-3
Let a = -206 + 206. Solve a = 3*p + 6, 2*p = -4*i - 3 - 9 for i.
-2
Let s(u) = -2*u - 8. Let y be s(8). Let j = y + 29. Solve -z - 4*f - 20 = 0, -j + 0 = 3*z + f for z.
0
Suppose 0 = 3*y - 35*y + 96. Solve 0 = 3*a + a + 2*r + 18, 11 = -y*a + r for a.
-4
Let c = -543 + 546. Solve c*g = -4*w + w + 21, g - 4*w = -13 for g.
3
Let q = -661 + 667. Solve 4*s + 5*v = -41, 32 = -3*s + 2*v - q*v for s.
-4
Suppose 0 = 3*j - 4*a + 10, -18 = -5*j - 8*a + 6*a. Solve -2*w + j*d - 10 = -d, d = 0 for w.
-5
Suppose z - 29 = -17. Suppose 4*j + 4*n - 4 = n, -2*n + z = 5*j. Solve l = -k + 6, j*l - 5*k = -0*l - 12 for l.
2
Suppose 8*u = 16*u - 24. Solve 4*b = 2*r - 20, u*b = -4*r + 3 - 18 for r.
0
Let u(d) = d**2 + 2*d + 8. Let r(x) = -x**2 - 1. Let m(k) = -6*r(k) - u(k). Let g be m(-2). Solve -2*y - g = p - 7*y, 12 = -2*p + 2*y for p.
-2
Let u(r) = -r**3 - 9*r**2 - 10*r + 10. Let a be u(-8). Let s = -48 + 48. Let y(x) = 3*x. Let t be y(s). Solve 5*j - a = 3*c - t*c, -3*c = -3*j + 18 for c.
-2
Let r be (-2 + (-2 - -91))*(3 + -2). Let q = -66 + r. Solve -4*v + q = 5*g, 4*g - 3*v - v = -12 for g.
1
Let l(n) = -20*n**3 + n**2 + 2*n + 1. Let p be l(-1). Let h = -343 - -346. Solve 4*y + h*j = -2*j + 24, 0 = 5*j - p for y.
1
Suppose 2*s = -48 + 174. Let a = s - 60. Solve -a*j + 2*i = 3*i + 7, 4*i + 12 = 4*j for j.
-1
Suppose 2*h + 2*w + 0 = -4, -15 = 3*w. Suppose -4*p - 2 = -2*p, 4*p - 2 = -h*u. Solve 0 = -u*l + 2*i + 3*i - 10, 2*i = 0 for l.
-5
Let n(f) = 2*f**2 - 3*f - 3. Let t be n(-3). Let d = -102 + 105. Solve -5*l - 5 = -8*i + 3*i, 0 = 4*i + d*l + t for i.
-3
Let y(u) = u**2 - 4. Let w be y(-6). Let f = w - 27. Suppose -f*m + 50 = -0*m. Solve 4*l - c - c - m = 0, c = -5*l + 2 for l.
1
Let k be 5246/(-6) - 1/(-3). Let a = 489 + k. Let b be ((-8)/10)/(22/a). Solve 0 = -5*x - 2*n + b, 0*x - 5*n + 5 = 5*x for x.
4
Let c be (-2)/6*(-660)/44. Solve c*h = -4*x + 21, 0 = 25*h - 23*h - 10 for x.
-1
Let t be (-3 - -1)/(3/(-6)). Suppose 0*h + 5*l - 50 = -5*h, -5*l = -t*h + 67. Let u = h - 11. Solve 3*w + n = -u*w - 23, 4*w + 25 = -3*n for w.
-4
Let v = 144 + -129. Let y = 18 - v. Solve y*j - 2 = 4*n - 5, 2*n - 9 = -j for j.
3
Let k be 27 - ((-24)/84 + 6/21). Solve 3*f + 25 = -4*z, -8*f - 3*z = -3*f + k for f.
-3
Suppose -l - 2*a + 53 = 0, 2*a = 2*l - 51 - 55. Let s = l - 42. Solve -z - 3*o + 6 = 2*z, 0 = 5*z + 4*o - s for z.
3
Let q(j) = -j**3 + 13*j**2 - 33*j - 9. Let c be q(4). Solve 2*v - 5*m = 19, -v + 4*m = c*m - 5 for v.
2
Let b(p) = p**3 + 6*p**2 + 8*p + 3. Suppose -5*h = -4*a + a - 37, 0 = -2*h + 10. Let k be b(a). Solve c - 5*c = w + 8, -w - k = -c for c.
-1
Suppose 4*a = p - 5, 5*a - 25 = -0*p - 5*p. Suppose -20*c + 22*c - 6 = a. Solve -d - 10 = c*u + 3*d, -d = 5*u + 11 for u.
-2
Suppose -5*q = -q + u - 69, -5*u - 15 | {
"pile_set_name": "DM Mathematics"
} |
- 5 + 8 + 67*l in the form t + h*l and give t.
2
Express 2 - 8 - b - 3 as w*b + n and give n.
-9
Express (2*p - 7*p - 4*p)*(1 + 2 + 0) as f + g*p and give g.
-27
Express 2 + 5 + 4*p - 1 in the form o*p + x and give x.
6
Express 2*p**2 + 5*p - 12*p**3 + 21*p**3 - 15*p**3 as o + r*p**3 + g*p**2 + j*p and give r.
-6
Express (4 - 3 - 2 + (-1 + 3 - 3)*(6 - 1 + 0))*(-2*y + 0*y + 0*y) in the form r + g*y and give g.
12
Rearrange (2 + 3*j - 2)*(1 - 2*j - 1) + 2*j**2 - 2 + 2 - 3*j**2 + 4*j**2 + 4*j**2 to r*j**2 + q*j + a and give r.
1
Express -17*b - 16*b - 23*b - 18*b in the form k + f*b and give f.
-74
Express 3*y + 1 - 1 + 1 + (2*y + 4 - 4)*(-1 - 3 + 1) + (4*y - 4*y + 2*y)*(0 + 1 + 1) + 2 - 2 - y + 5*y + 0*y - 4*y - y + 0*y - y as u + c*y and give u.
1
Rearrange 3*t**2 - 2*t**2 - 3*t**2 - t**2 to the form o + r*t**2 + l*t and give r.
-3
Express 2*w - 17*w + 0*w**2 + w**2 as s + y*w**2 + i*w and give y.
1
Rearrange -5*r**3 + 0 + 2*r**3 - 1 + r**3 to the form s*r**2 + y*r**3 + h + n*r and give y.
-2
Rearrange -5*b + 3*b**2 + 4*b + b - 1 to y + c*b + m*b**2 and give y.
-1
Rearrange (24*s**2 + 248 - 248)*(0*s**2 + 2*s**2 + 0*s**2) to the form x*s**4 + p*s**2 + n + g*s**3 + q*s and give x.
48
Express 11*i - 12*i + 3*i**3 + i**2 + 4*i + i**2 as g*i**2 + t*i + n*i**3 + f and give t.
3
Rearrange (2*t - t + 0*t)*(2 - 3 + 0) + (-1 - 1 - 6)*(-8*t + 2*t + 5*t) to the form v*t + m and give m.
0
Express -6*v**4 + v**3 + 4*v**2 - 4*v**2 - 2*v + v**3 in the form a*v**3 + y*v + c*v**4 + p + f*v**2 and give a.
2
Rearrange -5 - 16*h**2 + 5 + 0 to q*h + s*h**2 + v and give s.
-16
Express (12*y + 58*y - 19*y)*(2 - 6 + 3)*(1 + 1 - 1) as n + r*y and give r.
-51
Express 33*j + 12*j + 2*j in the form n + w*j and give w.
47
Rearrange (4*w**3 - w**3 - 5*w**3)*(-4 + 10 + 4) to the form z*w**3 + n*w**2 + g + u*w and give z.
-20
Express 63*u**3 - 2 - 31*u**3 - 5*u - 31*u**3 as c*u**2 + d*u**3 + q + p*u and give d.
1
Rearrange (1 - 2 + 2)*(-4*y + 4*y + 2*y**2)*(4 + 0 - 1) to m*y**2 + j*y + n and give m.
6
Express -18*o + 2*o**2 + 8*o - 19*o - 12*o in the form x*o**2 + i + r*o and give x.
2
Rearrange -7 - 3*w**3 - 11*w**4 + 10*w**4 + 2*w + 3*w**3 to the form q*w + x + s*w**2 + l*w**4 + h*w**3 and give x.
-7
Rearrange 44*b - 16*b - 25*b to the form j*b + g and give j.
3
Express ((-3 - 2 + 7)*(-q - q + 0*q) - 14*q + q + 5*q - q + 4*q - q)*(-2 + 2 - 2*q**2) as n*q**2 + p*q**3 + l*q + s and give p.
20
Express 0*c**3 + c**2 - 3 + 5*c**3 - 3*c**3 + 0*c**3 as x*c**2 + f*c + l + a*c**3 and give a.
2
Rearrange -u**3 + 0*u**3 + 3*u**3 + (5*u - 5*u - u**2)*(5*u - 2*u - 4*u) + 0*u**3 - 2*u**3 + 3*u**3 to the form p*u**3 + c + q*u + k*u**2 and give p.
4
Rearrange (4*z + 4 - 4 + (3 - 5 + 3)*(0*z - 4*z + 5*z))*(2*z - 5 + 8 - 4*z) to t*z + r*z**2 + b and give t.
15
Express (4*t - 4*t + 2*t**2)*(-3 - 13*t + 6*t + 1) as z*t**2 + o*t + v*t**3 + y and give z.
-4
Express -2*l**2 - 5*l**2 + 8*l**2 + 2*l + l**4 as b + y*l**2 + s*l**3 + v*l**4 + t*l and give t.
2
Express 0*o - 6*o**3 + 4*o**3 + o + o**2 - 4*o as h*o**3 + d*o**2 + f + r*o and give r.
-3
Express (2 + 0 - 1)*(10*l - 19*l + 92*l) in the form o*l + u and give o.
83
Express (v**3 + 3 - 3)*(6 - 3 - 1)*(-v + 2*v - 2*v) - 5*v**4 + 8*v**4 + 6*v**4 in the form z*v + n*v**2 + x + p*v**4 + d*v**3 and give p.
7
Rearrange (-25 - 49 + 26)*(3*k - 3*k + k) to the form g + a*k and give a.
-48
Rearrange u + 15 - 4 - 28 to the form h + v*u and give v.
1
Rearrange (-4 + 4 - 2*n**2)*(-n**2 + n - n) + (-5*n**2 + 8*n**2 + 0*n**2)*(2 + n - 2)*(n + n - 4*n) to s*n + c*n**2 + i + g*n**3 + w*n**4 and give w.
-4
Express -27*z**3 - 6*z**4 + 28*z**3 - 30*z**4 + 2*z + 2 in the form k*z**3 + p*z**4 + u*z**2 + n*z + h and give p.
-36
Express l**2 - 4*l**2 - 3*l**2 in the form n + v*l + h*l**2 and give h.
-6
Rearrange (-46*n - 9*n**3 + 46*n)*(1 + 0 - 3)*(-2 + 4 + 0) to the form q*n**3 + t*n + z*n**2 + k and give q.
36
Express (-4 + 2 + 3)*(177 - 177 - 14*v**2) in the form p*v + d*v**2 + g and give g.
0
Rearrange 2*k**3 + 50*k - k**3 - 31*k to the form t*k + a + n*k**2 + g*k**3 and give g.
1
Rearrange 47*z - 22*z + 119 + 43*z - 118 to the form i*z + j and give i.
68
Express 3*f**2 - f**2 - f**2 + 2 + (0*f + 3*f - 5*f)*(-3*f + 3*f - f) + 11 - 5*f**2 - 11 + 0*f**2 - 4*f**2 + 5*f**2 in the form i*f + c*f**2 + b and give b.
2
Express 3*o - 6*o + 3*o - 32*o**2 in the form u + s*o**2 + l*o and give u.
0
Rearrange ((2*c + 2*c - 3*c)*(-1 + 4 - 1) + 3*c - 5*c + 4*c + 4*c + 1 - 1)*(-2 - 2 + 1 + (-2 + 5 - 1)*(-2 + 2 + 2)) to the form a*c + j and give a.
8
Express (-2*l**2 - 2*l**2 + 3*l**2)*(1 - 1 - 2*l) + 3*l**3 + l**3 - 5*l**3 - 3 + 3 + 3*l**3 in the form x + p*l + o*l**3 + k*l**2 and give o.
4
Rearrange -17*d**3 + 24*d**3 - 11*d**3 + 5*d**4 - 2*d + 4*d - 2*d**2 to r*d + n*d**3 + m + q*d**2 + g*d**4 and give g.
5
Rearrange -2460*c**3 - 2*c**4 + 2460*c**3 - 2*c**2 + 11 to p + t*c + u*c**2 + q*c**3 + g*c**4 and give g.
-2
Express (2*j - 6*j + 3*j)*((j - 2*j + 18*j)*(-3 + 3*j**2 + 1 - 2*j**2) - 3*j**3 - j**3 + j**3) as u*j + y*j**4 + r*j**3 + k*j**2 + p and give y.
-14
Rearrange (j**2 + 3*j - 4*j + 2*j)*(3*j - 14*j - 2*j)*(0 - 2 + 0) to h + r*j + c*j**3 + w*j**2 and give c.
26
Rearrange -2*y**3 + 5*y - 7*y**4 - 11*y**2 + 11*y**2 to l*y**2 + q*y**3 + w*y + t*y**4 + c and give t.
-7
Express -j**2 + 0 + 0 - 2 + 8*j**3 in the form z*j + o*j**3 + n + i*j**2 and give z.
0
Express 256 + 2*k + 3*k**4 - k**4 - 253 + 2*k**3 + k**2 in the form t*k**3 + j*k + r*k**2 + z + y*k**4 and give r.
1
Express -2*s**4 + 0*s**4 + s - 4*s**3 + 2*s**3 + 0*s in the form y*s**4 + d*s + o*s**3 + j*s**2 + p and give o.
-2
Express (180 - 97 - 119)*(-3*f + 5*f + 0*f) as y + n*f and give n.
-72
Express (-2 + 3 - 2)*(2 - 2 - 2*n**3) + (n**2 - 4*n**2 + n**2)*(9*n - 25*n - 20*n) as w*n + l + a*n**3 + m*n**2 and give a.
74
Rearrange -2*r**2 - 3*r**3 + 3*r + 0*r + 0*r**3 + r**4 - 4*r to the form n*r**3 + t + u*r + c*r**4 + w*r**2 and give c.
1
Express 90*s + 47*s - 105*s in the form p*s + z and give p.
32
Express -2*j + 2*j - 32 + 2*j as q*j + p and give q.
2
Rearrange 8 + 0*n**4 + 10*n**4 - 3*n**3 - n - 10 + 2*n**3 to j*n**4 + b*n**2 + s + c*n + q*n**3 and give c.
-1
Rearrange d**3 - 94*d**4 + 93*d**4 - 4*d**3 + d to s*d**2 + i + p*d**4 + g*d**3 + z*d and give p.
-1
Express (-16*q**3 + 22*q**3 - 5*q**3)*(-3*q - q + 2*q) + 0*q**4 - 4*q**4 + 2*q**4 in the form u + b*q**2 + n*q + c*q**3 + z*q**4 and give z.
-4
Rearrange -12*w - 5*w + 19*w + 4*w**2 to s + y*w**2 + g*w and give g.
2
Express -1 - 26*f + 1 in the form h*f + u and give h.
-26
Rearrange (4*c + 0*c - 7*c)*(3 + 0 - 5)*(-4 + 3*c**3 + 4) to the form x*c**2 + u*c + b + j*c**4 + i*c**3 and give j.
18
Express -1 + c**2 - c**2 - 34 + c**2 in the form j + k*c**2 + n*c and give k.
1
Rearrange -3*t**3 - t**4 + 5*t**3 - t**4 + 5 - 3*t**3 to the form o*t + l*t**2 + f*t**3 + b*t**4 + c and give f.
-1
Rearrange -3 + 5*p - 1 - 4*p + 5*p**3 + 2*p**2 - 6*p**3 to c*p**3 + i*p**2 + b*p + n and give c.
-1
Express -v + 14*v**3 - 19*v**3 + 11*v**3 - 2*v**2 - 3 + 4*v**2 in the form d + q*v**2 + t*v + g*v**3 and give t.
-1
Rearrange -2*t - 2*t - 3*t**4 + 0*t**4 + 36*t**3 - 35*t**3 to the form b*t**3 + u*t**4 + x*t + l + q*t**2 and give u.
-3
Rearrange -t**2 + 406 + 2*t - 3*t**3 + 4*t**3 + t**3 - 404 to q*t + p*t**3 + s*t**2 + m and give q.
2
Rearrange (1 + i - 5 - 2)*(i + 0*i + 0*i) to k*i**2 + o + h*i and give k.
1
Express ((2 - 2 + 2)*(-2 + 1 + 2) + 4 - 2 + 0)*(o + 2 - 2)*(-3 - 2 + 8) in the form z + u*o and give u.
12
Rearrange 2 - 5*o**4 + 9*o**4 + o - o**2 + 5*o**3 - 3*o**4 to c*o**2 + q*o**4 + d*o**3 + m*o + a and give c.
-1
Rearrange -12*m + 7*m - 17*m**2 + 5*m to c*m**2 + y + w*m and give c.
-17
Rearrange (5*j + 0*j + 4 - 3*j)*((-3 - 2 + 7)*(-11*j - 15 + 15) - 3*j + 1 - 1) to the form r*j + s*j**2 + f and give r.
-100
Express -3*x**2 + x**3 - 6*x + 6*x + (4*x + 3*x - 4*x)*(-4*x**2 - x**2 + 2*x**2) - 2*x**3 - 6*x + 6*x in the form q*x + p + y*x**3 + n*x**2 and give n.
-3
Express -7*u - u**4 + 17*u**2 + 4*u**2 + 0*u**4 - 17*u**2 as y*u**3 + n*u**2 + b*u + k + f*u**4 and give f.
-1
Rearrange (0 - 3 + 4 + (2 - 3 - 2)*(-4 - 3 + 6))*(2*k - k**2 - 2*k)*(0*k + 4*k - 2*k) to the form x*k + r*k**3 + i*k**2 + u and give u.
0
Express 4*c**3 + 0*c**3 + 14 - 3*c**3 + 4 as f + j*c + v*c** | {
"pile_set_name": "DM Mathematics"
} |
-4/5 (c) -4 (d) -2/23
b
Which is the biggest value? (a) 0.1 (b) -0.7 (c) -0.3 (d) 0
a
What is the fourth smallest value in -0.2, -2/5, 0.2, -1, -3?
-0.2
Which is the smallest value? (a) 0.91 (b) -0.2 (c) 0
b
Which is the fifth biggest value? (a) -2 (b) -3/11 (c) -0.3 (d) 2 (e) 3
a
Which is the third biggest value? (a) -0.9 (b) 0.4 (c) -5/7
a
What is the second smallest value in -5, 1, 0.5, 1/5?
1/5
What is the fourth smallest value in -0.3, 0.213, 5/4, 0.4?
5/4
Which is the fourth smallest value? (a) -1 (b) 0.02 (c) -0.1 (d) 0
b
What is the second smallest value in 1, -24, 4, -0.9?
-0.9
What is the smallest value in 0.5, 6, -1/7, 1/5?
-1/7
What is the fourth biggest value in -0.3, 2, -2/3, -90?
-90
Which is the smallest value? (a) -1/3 (b) 16 (c) -2 (d) 0
c
Which is the second smallest value? (a) -1 (b) -2/5 (c) 0.2 (d) -0.5
d
Which is the biggest value? (a) -2 (b) -2/3 (c) 2694
c
Which is the biggest value? (a) 4 (b) -2/3 (c) -31
a
What is the second smallest value in -0.3, 8/3, 4?
8/3
Which is the third smallest value? (a) -4 (b) -0.2 (c) -5 (d) 0.1 (e) -2.9
e
Which is the second biggest value? (a) -2/59 (b) -4 (c) 1
a
Which is the second smallest value? (a) -3/2 (b) 1.4 (c) -0.1 (d) 0.3
c
Which is the smallest value? (a) -1/4 (b) -2/9 (c) 6 (d) 21
a
Which is the third smallest value? (a) 1/6 (b) 1 (c) 7.9 (d) 0.037 (e) -1
a
What is the second biggest value in 173/6, 0.4, 1/4, -1?
0.4
What is the fourth biggest value in -1, 34, 0, -0.5?
-1
What is the third biggest value in -1, 3.2, 0?
-1
What is the smallest value in 0.2, 74, -2?
-2
Which is the fourth smallest value? (a) -0.1 (b) 5 (c) 4 (d) -5
b
Which is the second biggest value? (a) 10 (b) 3/4 (c) -3/8 (d) 0.05
b
What is the fourth biggest value in 0.1, 0.007, 0.4, -2/17?
-2/17
What is the biggest value in -1, 0.4, -2/9?
0.4
Which is the smallest value? (a) 0 (b) -0.2 (c) 30 (d) 1/2
b
What is the third smallest value in -0.4, 0.2, -1/200, -2/3?
-1/200
Which is the smallest value? (a) 5 (b) -0.516 (c) -1/4
b
What is the biggest value in 0.05, 4/9, 2/5, 4/7?
4/7
Which is the third biggest value? (a) 2 (b) -2/7 (c) 1/3 (d) -0.07 (e) -0.5
d
What is the smallest value in -0.9, -2/7, 4, -1/8?
-0.9
What is the biggest value in -1.4, -3, 58?
58
Which is the smallest value? (a) -4 (b) 0.4 (c) 0.08
a
What is the second biggest value in -444, -2, -0.2?
-2
Which is the third smallest value? (a) 0.5 (b) 3 (c) -6
b
What is the second smallest value in -1, -3, 69?
-1
Which is the third smallest value? (a) -0.2 (b) -2 (c) -1/28 (d) -0.05
d
Which is the third smallest value? (a) 2 (b) -3 (c) 0.1 (d) 0
c
What is the smallest value in 1, -2/7, 0.14, 0.9, -4?
-4
Which is the fourth biggest value? (a) -1 (b) 0.4 (c) -2/17 (d) 4 (e) 2.9
c
Which is the second smallest value? (a) -1 (b) 0 (c) 28
b
Which is the fourth biggest value? (a) -14 (b) 3 (c) -1/2 (d) 0.5 (e) 6
c
What is the second biggest value in -10/3, 0.3, 76?
0.3
What is the fourth biggest value in 8, 1/9, -6, 4?
-6
What is the biggest value in -1.97, -20, 2/5?
2/5
Which is the smallest value? (a) -2/3 (b) 7.12 (c) 2/11
a
Which is the second biggest value? (a) 3 (b) -5/3 (c) 125
a
What is the fourth smallest value in 0.12, -3, 0.19, 0.08, 0.2?
0.19
What is the biggest value in 2, 4, -243?
4
Which is the second biggest value? (a) -7/33 (b) 0.4 (c) -1
a
What is the smallest value in -19/4, -4, -11?
-11
What is the fourth biggest value in 0.03, 3, 29/3, 0.1, 4?
0.1
What is the fifth smallest value in 0.3, 4, 1/3, 1/10, -5?
4
What is the fourth smallest value in 2/15, -11/2, 2, -4?
2
Which is the third smallest value? (a) 0.4 (b) -61/6 (c) -4
a
What is the second smallest value in -191, -13, -0.4?
-13
Which is the second biggest value? (a) -5 (b) -0.3 (c) 1.78 (d) -1 (e) -2
b
Which is the second smallest value? (a) -339 (b) -1/3 (c) 0 (d) 0.1
b
What is the fourth biggest value in 18, 0.13, -0.04, -2?
-2
What is the fourth biggest value in -0.4, 12, -2, 126?
-2
Which is the second smallest value? (a) 3 (b) -1/4 (c) 0.01 (d) -3
b
What is the second smallest value in -5, 0.4, -1, 2/15, -4862?
-5
What is the third smallest value in -2/11, 1/2, -120?
1/2
What is the third biggest value in 0, -2/3, -43?
-43
Which is the smallest value? (a) -5 (b) -1/2 (c) 1 (d) 4 (e) -10/9
a
Which is the second biggest value? (a) 3 (b) 0.4 (c) -53 (d) 0.3
b
Which is the third smallest value? (a) 0 (b) -4 (c) -0.1 (d) -1/6 (e) -33
d
What is the smallest value in -3/73, -0.1, 0.14?
-0.1
What is the third biggest value in 5, 9/2, -2/15?
-2/15
Which is the smallest value? (a) -0.1 (b) 0 (c) -1 (d) 1/22
c
What is the second biggest value in 30, 3, -3?
3
What is the second smallest value in 1/5, -2/7, -3, -1?
-1
Which is the second smallest value? (a) 0.2311 (b) -4 (c) -3
c
Which is the second smallest value? (a) -4/17 (b) 3 (c) 0 (d) -2
a
Which is the fourth biggest value? (a) -0.1 (b) 1.9 (c) 2/7 (d) 3
a
Which is the third smallest value? (a) 10 (b) -15 (c) 1/7
a
What is the fourth biggest value in -5, 1, 0.1, -0.4?
-5
What is the second biggest value in -0.5, -4.3, -0.2?
-0.5
Which is the fourth biggest value? (a) 0.3 (b) 0.071 (c) -2/9 (d) -2/3
d
What is the second biggest value in -0.1, 13, -0.2?
-0.1
Which is the biggest value? (a) 9 (b) -80/9 (c) 3
a
What is the second smallest value in -8, -13/10, -3?
-3
Which is the third smallest value? (a) -16 (b) -11 (c) -1/4 (d) 0
c
What is the fourth smallest value in 0.5, 1/5, 3/2, -3?
3/2
Which is the second smallest value? (a) 2 (b) 0.06 (c) -0.3
b
What is the third biggest value in -1, -0.05, -1/9, 3?
-1/9
What is the second smallest value in 1/3, -8, 0.5, 1, -0.1?
-0.1
What is the smallest value in 4/9, 3/7, 0, 1?
0
Which is the second smallest value? (a) -0.3 (b) -1 (c) -27 (d) 0.1 (e) 0.3
b
What is the smallest value in -2, 0.5, -5/12, -1?
-2
Which is the second biggest value? (a) 1/4 (b) 4 (c) -0.1 (d) -1
a
What is the third smallest value in 597, -5, -1/2?
597
Which is the biggest value? (a) -0.2 (b) 2/7 (c) -1791 (d) 3
d
What is the third smallest value in 1, 3, 0, -5/29?
1
What is the second biggest value in 1, 1/3, -0.23, -0.4?
1/3
Which is the fourth smallest value? (a) 0 (b) -1 (c) 4/3 (d) 12
d
Which is the second smallest value? (a) 86 (b) 3/7 (c) 3/2
c
Which is the second smallest value? (a) -1 (b) 3 (c) -0.4 (d) -22
a
What is the second biggest value in 0.3, -1, 5?
0.3
Which is the second smallest value? (a) 72 (b) -3 (c) -65
b
Which is the biggest value? (a) 0.5 (b) 40.38 (c) 3
b
What is the third smallest value in -2, 1.2, 0?
1.2
What is the second smallest value in 5, -1/127, 1/4?
1/4
Which is the second biggest value? (a) -91 (b) 0.3 (c) 0.5
b
What is the second smallest value in 1/8, 1.51, 1?
1
Which is the third biggest value? (a) 0 (b) 2 (c) -1/29
c
Which is the fifth smallest value? (a) 18 (b) -2 (c) -0.1 (d) 2/25 (e) -1/5
a
Which is the smallest value? (a) -2 (b) -4/5 (c) -13
c
What is the third smallest value in 0.268, 0.2, -2?
0.268
Which is the third smallest value? (a) -5 (b) 2 (c) -4 (d) 2/1785 (e) -3/7
e
Which is the fourth biggest value? (a) 2/13 (b) -10 (c) -0.3 (d) -0.1
b
Which is the second biggest value? (a) 2 (b) 11899 (c) 2/23 (d) -2
a
Which is the second biggest value? (a) 3 (b) 2.5 (c) -0.2 (d) -2/19
b
What is the second biggest value in 2047, -3/2, -3/5?
-3/5
Which is the second biggest value? (a) 2 (b) -6/167 (c) -2/3
b
Which is the biggest value? (a) -0.1 (b) -2/3 (c) 4/9
c
Which is the third biggest value? (a) -116 (b) 4 (c) -3
a
Which is the fifth smallest value? (a) -1 (b) -2 (c) -0.07 (d) 0 (e) 31/2
e
What is the smallest value in -3/8, -5, 41?
-5
What is the biggest value in 1, -1/2, -1, -0.4, -5?
1
What is the second biggest value in 5, -32, 3?
3
What is the third biggest value in -10, 26, 5?
-10
Which is the fourth smallest value? (a) -18 (b) -1 (c) -3 (d) 9 (e) -2
b
What is the second biggest value in -1, 7, -3, 4?
4
What is the fifth smallest value in -0.05, -3/4, -1/4, -1, -0.3?
-0.05
What is the fourth smallest value in 2, 0. | {
"pile_set_name": "DM Mathematics"
} |
63*i**2 - 66*i + 24 = 0. What is i?
1, 2, 4
Suppose -3*r**5 - 87*r**4 = 0. Calculate r.
-29, 0
Find c, given that -c**5/11 + 13*c**4/11 - 43*c**3/11 + 19*c**2/11 + 4*c - 32/11 = 0.
-1, 1, 4, 8
Suppose 5*a**3 - 1430*a**2 - 1445*a + 2870 = 0. Calculate a.
-2, 1, 287
Determine t, given that 4*t**2/5 + 4376*t/5 - 876 = 0.
-1095, 1
Solve -2*t**3/3 + 24*t**2 - 216*t = 0.
0, 18
Let 3*a**5 + 19*a**4 - 6*a**3 - 76*a**2 - 24*a = 0. Calculate a.
-6, -2, -1/3, 0, 2
What is l in -2*l**2/7 - 348*l/7 - 15138/7 = 0?
-87
Factor -x**4 + x**3 + 7*x**2 - 13*x + 6.
-(x - 2)*(x - 1)**2*(x + 3)
Find x, given that -2*x**5/11 + 14*x**3/11 + 4*x**2/11 - 24*x/11 - 16/11 = 0.
-2, -1, 2
Find d, given that -3*d**5 + 276*d**4 + 573*d**3 - 834*d**2 - 1140*d + 1128 = 0.
-2, 1, 94
Factor -51*b**3 - 771*b**2 - 90*b.
-3*b*(b + 15)*(17*b + 2)
Find j such that -2*j**5/5 + 12*j**4/5 - 14*j**3/5 - 12*j**2/5 + 16*j/5 = 0.
-1, 0, 1, 2, 4
Find c, given that 130*c**4/3 + 24*c**3 + 8*c**2/3 = 0.
-2/5, -2/13, 0
Find h, given that 2*h**2/5 - 42*h/5 = 0.
0, 21
What is b in 15*b**2/4 - 55*b + 35 = 0?
2/3, 14
Solve -q**4/2 + 7*q**3/2 - 15*q**2/2 + 13*q/2 - 2 = 0 for q.
1, 4
What is p in 4*p**4 + 48*p**3 - 12*p**2 - 152*p - 96 = 0?
-12, -1, 2
Determine h, given that -h**5/2 + h**4/2 + 19*h**3/2 - 49*h**2/2 + 15*h = 0.
-5, 0, 1, 2, 3
Factor -4*w**4 + 76*w**2 + 24*w - 288.
-4*(w - 4)*(w - 2)*(w + 3)**2
Solve 4*s**4/9 + 10*s**3/9 - 10*s**2/9 - 10*s/9 + 2/3 = 0.
-3, -1, 1/2, 1
Factor -2*i**2 + 130*i - 128.
-2*(i - 64)*(i - 1)
Factor -y**2 - 36*y - 224.
-(y + 8)*(y + 28)
Factor m**3 - 4*m.
m*(m - 2)*(m + 2)
Factor -g**3/5 - 14*g**2 + g/5 + 14.
-(g - 1)*(g + 1)*(g + 70)/5
Find n such that 3*n**2/5 + 3144*n/5 + 823728/5 = 0.
-524
Determine m, given that 72*m**5 - 860*m**4 + 22784*m**3/9 + 2656*m**2/9 - 1408*m/3 + 64 = 0.
-1/2, 2/9, 6
Factor -2*q**2 + 20292*q - 51470658.
-2*(q - 5073)**2
Factor 4*n**4 + 24*n**3 - 5180*n**2 + 10272*n - 5120.
4*(n - 32)*(n - 1)**2*(n + 40)
Find y such that 32*y**4 + 2540*y**3 + 49588*y**2 - 32960*y - 19200 = 0.
-40, -3/8, 1
Find f such that 20*f**5 + 176*f**4 + 544*f**3 + 664*f**2 + 204*f - 72 = 0.
-3, -2, -1, 1/5
Factor 4*z**4 + 36*z**3 - 240*z**2 - 832*z + 3840.
4*(z - 4)**2*(z + 5)*(z + 12)
Factor -i**2 + 60*i - 116.
-(i - 58)*(i - 2)
Solve 2*t**4/11 - 20*t**3/11 + 18*t**2/11 + 320*t/11 - 800/11 = 0 for t.
-4, 4, 5
Suppose -2*r**2/13 + 12*r/13 - 16/13 = 0. Calculate r.
2, 4
Find l, given that -l**2/8 - 105*l/8 + 107/4 = 0.
-107, 2
Solve -4*y**4/3 + 28*y**3/3 + 100*y**2/3 - 604*y/3 + 160 = 0.
-5, 1, 3, 8
What is m in m**5 + 10*m**4 - 39*m**3 = 0?
-13, 0, 3
Determine p so that 3*p**5/5 + 3*p**4 - 33*p**3/5 - 111*p**2/5 + 246*p/5 - 24 = 0.
-5, -4, 1, 2
Suppose -4*g**4 - 896*g**3 - 51932*g**2 - 196240*g - 145200 = 0. What is g?
-110, -3, -1
Solve -63*i**5 - 59*i**4 + 260*i**3 + 240*i**2 - 32*i - 16 = 0 for i.
-2, -1, -2/9, 2/7, 2
Factor -c**3/3 + 10*c**2/3 + 88*c/3 + 128/3.
-(c - 16)*(c + 2)*(c + 4)/3
Suppose -3*k**3/2 + 63*k**2/2 + 36*k - 66 = 0. What is k?
-2, 1, 22
Factor -2*h**2/9 + 62*h/9 - 140/3.
-2*(h - 21)*(h - 10)/9
Factor -2*x**2/9 + 190*x/9 - 184/3.
-2*(x - 92)*(x - 3)/9
Factor 4*w**3 + 80*w**2 + 512*w + 1024.
4*(w + 4)*(w + 8)**2
Solve 18*w**5 + 276*w**4 + 1226*w**3 + 1288*w**2 + 392*w = 0.
-7, -2/3, 0
Factor -13*g**3/3 - 1091*g**2/6 - 1904*g + 147/2.
-(g + 21)**2*(26*g - 1)/6
Factor 12*q**3 + 645*q**2/2 + 1647*q/2 - 108.
3*(q + 3)*(q + 24)*(8*q - 1)/2
Solve 3*d**4 + 9*d**3 - 3*d**2 - 9*d = 0.
-3, -1, 0, 1
What is m in m**3/5 + 464*m**2/5 + 53357*m/5 - 108578/5 = 0?
-233, 2
Factor -3*s**2 - 33*s - 54.
-3*(s + 2)*(s + 9)
Solve k**4/9 + 1759*k**3/9 + 586*k**2/3 = 0.
-1758, -1, 0
Factor i**4 + 3*i**3 - 40*i**2.
i**2*(i - 5)*(i + 8)
Suppose 10*v**3 - 26*v**2 - 12*v = 0. What is v?
-2/5, 0, 3
Suppose -5*f**4/4 + 5*f**3/4 + 5*f**2 - 5*f = 0. What is f?
-2, 0, 1, 2
Suppose -k**5/5 + 24*k**4/5 + 8*k**3/5 - 192*k**2/5 - 16*k/5 + 384/5 = 0. What is k?
-2, 2, 24
Find r such that -5*r**5 + 60*r**4 - 170*r**3 + 60*r**2 + 175*r - 120 = 0.
-1, 1, 3, 8
Let -20*d**5 - 64*d**4 + 24*d**3 + 112*d**2 - 4*d - 48 = 0. Calculate d.
-3, -1, 4/5, 1
Factor -j**2/3 + 128*j/3.
-j*(j - 128)/3
Determine n so that 180*n**5 + 276*n**4 + 80*n**3 - 16*n**2 = 0.
-1, -2/3, 0, 2/15
Solve -2*k**4/7 + 124*k**3/7 - 2370*k**2/7 + 1768*k + 14872/7 = 0 for k.
-1, 11, 26
Factor -3*x**3/8 + 15*x**2/4 + 3*x/2 - 15.
-3*(x - 10)*(x - 2)*(x + 2)/8
Solve -2*q**3/3 - 140*q**2 - 832*q/3 = 0.
-208, -2, 0
Factor 4*m**4 - 24*m**3 - 36*m**2 + 56*m.
4*m*(m - 7)*(m - 1)*(m + 2)
Solve 2*m**2/5 - 6*m + 112/5 = 0.
7, 8
Factor -2*x**3 - 30*x**2 - 52*x.
-2*x*(x + 2)*(x + 13)
Factor -y**3/4 + 549*y**2/2 - 100467*y + 12256974.
-(y - 366)**3/4
Factor 4*v**2 + 64*v.
4*v*(v + 16)
Let -51*i**4/7 - 6*i**3 + 9*i**2/7 = 0. What is i?
-1, 0, 3/17
Factor -z**2/3 - 77*z + 232/3.
-(z - 1)*(z + 232)/3
What is d in 2*d**5 + 52*d**4 + 430*d**3 + 1220*d**2 + 168*d - 1872 = 0?
-13, -6, -2, 1
Solve -5*d**5 - 20*d**4 + 60*d**3 + 160*d**2 - 320*d = 0 for d.
-4, 0, 2
Factor 5*o**3 - 1110*o**2 + 62700*o - 121000.
5*(o - 110)**2*(o - 2)
Factor -2*h**3 + 182*h**2 - 176*h - 360.
-2*(h - 90)*(h - 2)*(h + 1)
Factor -4*r**2 + 2980*r - 5944.
-4*(r - 743)*(r - 2)
Let -4*m**2 + 336*m + 2944 = 0. Calculate m.
-8, 92
Factor 3*r**5 + 57*r**4 - 333*r**3 + 627*r**2 - 498*r + 144.
3*(r - 2)*(r - 1)**3*(r + 24)
Let -36*a**2 + 620*a - 136 = 0. What is a?
2/9, 17
Factor -4*y**2 + 316*y - 312.
-4*(y - 78)*(y - 1)
Let 21*m**3/2 - 99*m**2 + 216*m = 0. Calculate m.
0, 24/7, 6
Let -3*q**3/2 + 693*q**2 - 106722*q + 5478396 = 0. What is q?
154
Suppose -w**2/2 + 7*w/2 + 9 = 0. Calculate w.
-2, 9
Factor -2*p**3 + 22*p**2/9 - 4*p/9.
-2*p*(p - 1)*(9*p - 2)/9
Suppose -4*j**5 - 14*j**4 + 20*j**2 + 4*j - 6 = 0. What is j?
-3, -1, 1/2, 1
Factor 2*p**4/13 - 32*p**3/13 + 84*p**2/13 - 80*p/13 + 2.
2*(p - 13)*(p - 1)**3/13
Determine p so that -4*p**2/7 + 8*p + 380/7 = 0.
-5, 19
Solve 4*p**2 - 21*p + 5 = 0.
1/4, 5
Factor -t**3/4 + 3*t**2/4 - t/2.
-t*(t - 2)*(t - 1)/4
Find f, given that 2*f**2 + 748*f - 1504 = 0.
-376, 2
Factor -2*r**5/5 + 26*r**4/5 - 44*r**3/5.
-2*r**3*(r - 11)*(r - 2)/5
Factor -3*u**5/8 + 27*u**4/2 + 171*u**3/4 + 87*u**2/2 + 117*u/8.
-3*u*(u - 39)*(u + 1)**3/8
Solve -4*i**5 - 260*i**4 - 508*i**3 - 252*i**2 = 0 for i.
-63, -1, 0
Solve -3*n**2/7 - 183*n/7 + 54 = 0.
-63, 2
Factor -o**4 + 3*o**2 - 2*o.
-o*(o - 1)**2*(o + 2)
Factor 2*x**2/9 - 4*x/3 - 32/9.
2*(x - 8)*(x + 2)/9
Factor y**3 - 2*y**2 - 8*y.
y*(y - 4)*(y + 2)
Determine z so that 2*z**4/7 - 18*z**3/7 - 22*z**2/7 + 18*z/7 + 20/7 = 0.
-1, 1, 10
Suppose -9*b**5/4 + 3*b**4/2 + 81*b**3 - 126*b**2 - 384*b + 288 = 0. Calculate b.
-6, -2, 2/3, 4
Determine s so that 2*s**5/7 + 2*s**4 - 106*s**3/7 + 162*s**2/7 - 72*s/7 = 0.
-12, 0, 1, 3
Factor q**4 - 22*q**3 + 141*q**2 - 220*q + 100.
(q - 10)**2*(q - 1)**2
Factor -u**2/3 + 5*u/3 + 12.
-(u - 9)*(u + 4)/3
Solve r**4 - 4*r**3 - 125*r**2 + 1068*r - 2340 = 0 for r.
-13, 5, 6
Factor -6*h**2 - 345*h + 174.
-3*(h + 58)*(2*h - 1)
Find s such that -5*s**3/4 + 155*s**2/4 = 0.
0, 31
Determine s so that 8*s**2/3 - 167*s/3 - 7 = 0.
-1/8, 21
Suppose -4*c**5 - 20*c**4 - 20*c**3 + 20*c**2 + 24*c = 0. Calculate c.
-3, -2, -1, 0, 1
Solve d**3 + 22*d**2 - d - 22 = 0 for d.
-22, -1, 1
Suppose 5*a**2 - 435*a + 850 = 0. What is a?
2, 85
Suppose -68*t**2/7 + 2*t/7 = 0. What is t?
0, 1/34
Factor -2*m**3/5 - 8*m**2/5 + 114*m.
-2*m*(m - 15)*(m + 19)/5
What is s in 16*s**5 - 548*s**4 - 21768*s**3 - 15868*s**2 + 5336*s = 0?
-23, -1, 0, 1/4, 58
Solve -3*f**5 + 42*f**4 - 195*f**3 + 372*f**2 - 252*f = 0 for f.
0, 2, 3, 7
Factor 2*u**3 + 366*u**2 + 22326*u + 453962.
2*(u + 61)**3
Suppose -3*j**3 - 12*j**2 + 15*j = 0. What is j?
-5, 0, 1
Factor 2*m**4/5 + 22*m**3/5 + 44*m**2/5 - 24*m - 144/5.
2*(m - 2)*(m + 1)*(m + 6)**2/5
Determine x so that 42*x**3 + 380*x**2 - 392*x + 80 = 0.
-10, 2/7, 2/3
Solve -35*t**5/4 - 225*t**4/4 - 55*t**3/4 + 225*t**2/4 + 45*t/2 = 0.
-6, -1, -3/7, 0, 1
Factor 2*r**4 - 1536*r**2 + 16384*r.
2*r*(r - 16)**2*(r + 32)
Let y**5/4 - 27*y**4 + 1403*y**3/2 + 1485*y**2 + 3025*y/4 = 0. Calculate y.
-1, 0, 55
Suppose -5*c**5 + 70*c**4 - 260*c**3 + 330*c**2 - 135*c = 0. Calculate c.
0, 1, 3, 9
What is a in a**4/3 + 57*a**3 = 0?
-171, 0
Let -5*g**2 - 7210*g - 2599205 = 0. Calculate g | {
"pile_set_name": "DM Mathematics"
} |
t o be c(-150). Solve -o*y = 2*l + 14, 15*y = 19*y + 5*l + 1 for y.
-4
Suppose 8*y + 92 = 28. Let p(d) = -13*d - 102. Let b be p(y). Solve r + 2 = b*s - 0, 35 = 5*r + 5*s for r.
4
Let f be 16/10*(-100)/(-80). Solve -19*v + 22*v - f*d = 19, 2*d - 2 = -4*v for v.
3
Let q(s) = s**3 + 29*s**2 + 54*s + 9. Let n be q(-27). Let w be ((-3)/n)/(2*(-4)/24). Solve p + 2*c = 11, c + w = 3*p - 4 for p.
3
Let m = -239 - -257. Let q be -2 + 1/((-2)/24). Let n = q + m. Solve -j - a = n*j - 23, -3*a + 9 = 0 for j.
4
Let r(m) = -m**2 + 1. Let h(w) = w**3 - 11*w**2 + 16*w - 34. Let b(s) = -h(s) - 4*r(s). Let g be b(14). Solve d = -2*d - n + 7, n - 5 = -g*d for d.
2
Suppose 24*d - 12*d = 264. Suppose -26 = -12*v + d. Solve -3*f - o = -0*o + 4, -4*o = v*f for f.
-2
Let q(p) = -1 + 6*p + 25 + 9. Let c be q(-5). Solve -5*t = v + 40 - 15, -c*v = 0 for t.
-5
Let r(v) = 171*v - 18. Let k be r(-1). Let j = 194 + k. Suppose 2*p = -2*p + 48. Solve 0 = -2*l + 5*l - 4*s - 3, j*l + p = s for l.
-3
Suppose 3*l = 3*z - 72, -57 - 84 = 5*l + 2*z. Let u = 382 - 409. Let s = u - l. Solve s = 3*x - 3, -1 = 4*y + 4*x + 11 for y.
-4
Suppose 10*f - 28 - 102 = 0. Suppose -p + 49 = -7*v + 3*v, 4*p = -2*v - 20. Let u = v - -15. Solve 5*j - 4*t = -f, u*j - 5*t = -2*j - 15 for j.
-1
Let k(v) = 6*v - 18. Let u be k(3). Solve u = 2*x + 6*o - o + 7, -2*x - 3*o - 5 = 0 for x.
-1
Let d(w) = w**2 + 113*w - 2288. Let l be d(-131). Solve 0 = 4*n, 3*k = -2*n - 58 + l for k.
4
Let p = -45 - -101. Suppose -5*m = 3*m - 448. Let j = p - m. Solve 2*a - 3*h - 3 = -7, j = h - 4 for a.
4
Let c = -139 + 159. Suppose -2*f + c = 4*h, 4*h + 4 = -27*f + 31*f. Solve -3*d + 2*k = 4*k - 14, -4*k = -h*d - 10 for d.
2
Let v(h) = -4*h - 73 - 16*h + h. Let d be v(-4). Solve -3*m + d*c = 18, 1 + 3 = c for m.
-2
Let f(q) = 29*q + 163. Let k be f(-5). Solve 0 = 5*h + 4*x - k, 0 = h + h - 2*x for h.
2
Suppose 50*u = 41*u + 126. Solve -26 = 4*b + 4*m + u, -m = 5 for b.
-5
Suppose -127*v + 24 = -115*v. Solve 0 = 4*y - 2*b - 22, 0*y = -2*y + v*b + 14 for y.
4
Let x = 6 + -1. Let j = 169 - 166. Suppose 3*t = -t, -t = j*z - 15. Solve h - 2*v + z = 0, -x*v = -4*h + 6 - 23 for h.
-3
Suppose 7*c = 8*c - 4*x - 9, -3*c + 11 = 4*x. Solve c*h = -5*f, -5*f = -4*h - 8*f + 5 for h.
5
Let d(l) be the third derivative of -11*l**4/24 - 13*l**3/2 + 73*l**2. Let s be d(-4). Solve 0 = -x + 2*a + s, -3*x + 4 = -3*a - 2 for x.
-1
Suppose 38*x - 34 = 21*x. Let s = -17 - -21. Suppose -3*m - 9 = -r, 5*r + 5*m = -11 - s. Solve 0*q - 8 = x*f - 5*q, r = 3*f + 3*q + 12 for f.
-4
Let f(a) = a**3 - 7*a**2 + 10*a - 1. Let w be f(5). Let d be 21/9*2 - w/3. Solve -4*o + q = -18, -o + d*q = o for o.
5
Let l(m) = 3*m + 10. Let j be (6/(-4))/((-15)/6 - -3). Let z be l(j). Suppose -3*n = -4*b - 12, 4*b = n - 3 - z. Solve -5*q - 4 = 2*v + v, b = v - q - 4 for v.
2
Suppose -132*l + 33*l + 71 = -226. Solve 0*d + 4*v - 3 = -3*d, d + l*v = 1 for d.
1
Let u be 300/(-70)*1*(7 + 0). Let r be (-3)/(u/(-11) + -3). Let a = 209 + -206. Solve -a*f + 0*x - 2*x + r = 0, 20 = 5*x for f.
1
Let k(t) = -t**2 + 20*t. Let w be k(20). Suppose w = -3*s + 10 + 23. Solve -3*m + 0*a = -a + s, -4*a = -m for m.
-4
Suppose 0 = 27*q - 38*q + 55. Solve h = -3*c + 5, -22*c + 21*c = -3*h + q for c.
1
Let n be (-3 - 48/(-15)) + 1272/40. Suppose -115 = -n*g - 19. Solve -4*j + g*b - 6*b = -12, 12 = 4*j + b for j.
3
Suppose 69 = 2*c + 31. Suppose c*l - 15*l - 14 = 3*f, 0 = 3*l - 4*f - 7. Solve d - 2*q + 1 = -0, -6 = -l*d - q for d.
1
Let r be 6*((-4)/(-6) - (-2)/(-12)). Let m be (-11)/(-44) - (r + (-124)/16). Solve 0*i - 3*i = -2*f + 20, -m*i = -f + 24 for i.
-4
Suppose 4*i + 2*x + 229 = 257, -2*x - 20 = -4*i. Solve -2*q + i = -c, 0 = -3*q - 28 + 43 for c.
4
Let h(v) = -9*v**2 - 17*v + 36. Let c be h(-3). Solve -3*b - c = 0, -z + 10 = -5*b - 5 for z.
5
Let a be (-5 + 5)/(8 + -7). Solve a = 3*w + w - 3*l, -w - 7 = l for w.
-3
Let p = -4607 - -4613. Solve -5*t = 10, 0 = -4*d - 5*t - 16 - p for d.
-3
Let k = 32607 - 32600. Suppose 2*s = 5*f - 13, 4*f + 3*s - 15 = -0*f. Solve -v + k + 5 = -f*p, 4*v - p = -7 for v.
-3
Let g be 1*13*(-4 - -5). Suppose -121 = -g*w + 2*w. Solve 4*t - 2*u + 3 = w, 4*t + 2*u = 8 for t.
2
Let b = -3143 - -3148. Solve -79*u - 11 = -4*m - 84*u, -b*m - 2*u + 18 = 0 for m.
4
Let j(n) = 31*n + 1025. Let g be j(-33). Solve g - 3 = w + m, -3*w = 2*m for w.
2
Let m(o) = o**3 + 7*o**2 - 9*o + 8. Let r be m(-8). Let h = -140 - -158. Suppose 0 = -h*x + r*x. Solve z - 5*l = -4, 3*z + 2*l + 3*l + 12 = x for z.
-4
Suppose -o = -24*s + 26*s - 12, -2*s - 5*o + 28 = 0. Solve 8 = d + 5*y, -24*y = -s*d - 20*y - 16 for d.
-2
Let y be 27/(-45) - 88/20. Let v be (y/(-15))/(6/(-36)) + 7. Solve v*g = -2*c - 20 - 3, -3*g - 16 = -c for c.
1
Let c(q) = 2*q**3 - 8*q**2 - 7*q - 10. Let u be c(5). Suppose -u*h = -2*j + 10, 2*h - j + 3 = -2. Solve 5 = 2*a - 3*p, h = 5*a - 3*p - 8 for a.
1
Suppose 13*t - 52 - 13 = 0. Let x be -3*t/15 + 5. Solve 5*m + 21 = -x*l, -3*l - 6 = m + 7 for m.
-1
Let w = -223 - -203. Let g be (w/(-18))/(-5) + 6/27. Solve -4*l + 2*l - 10 = -4*y, g = -y + l + 3 for y.
2
Suppose -6*f = -2*f - 12. Let i be ((-6)/8 - (-14)/8)*f. Let w be (3 - 0)/(3/i). Solve -4*y = -3*q + 8, 3*q - w = -y - 5 for y.
-2
Suppose 0 = -5*x + 4*c + 236 + 17, x = 2*c + 53. Solve 47*n = -3*o + x*n + 12, -4*n - 10 = o for o.
2
Suppose -16*g = -48*g - 15 + 79. Solve 5*k - 2*x + 4 + 0 = 0, -3*k - x = -g for k.
0
Let y = 0 + 3. Suppose -4*s = -5*s - 3, -504 = -4*o - 4*s. Let d = -126 + o. Solve -4*m - 22 = -5*a, -y*a + d*m + m = -18 for a.
2
Suppose -j = 3 + 1. Let i be (-2)/((1/(-35))/(j/10)). Let h = i - -28. Solve 2*m + h = 10, -a - 2*m = -7 for a.
-3
Suppose 0 = -29*t + 10*t. Suppose t = -5*a + 4*w + 95, -4*a - 21 + 103 = -2*w. Solve -x + 3*j = 9, -2*j - 6 + a = 3*x for x.
3
Let y = 5011 - 5007. Solve -16 = -4*b - 4*g - 4, -g = y*b - 3 for b.
0
Let o be 6/(-4)*-1*-2. Suppose -2*s + 20*s = -108. Let l be o + (-2)/s + (-23)/(-3). Solve 2*c = c + 2*n + 5, 3*c - l*n = 12 for c.
-1
Suppose -4*d = -5*d. Let h = 16 - 11. Let t = -339 + 344. Solve 2*y = -d*y + t*x + h, 3*x + 3 = 4*y for y.
0
Let u = -22475 + 22500. Solve 0 = 5*d + 2*g - 13, 16 = 5*d - 26*g + u*g for d.
3
Let v be (8/(-6))/(28/(-21)). Solve -f - 3*k - 4 = 0, v = 3*f - 4*k - 0*k for f.
-1
Let j = 2 - 1. Let x be j/((4 + -3)*(-3)/(-15)). Solve -5*f + 3*v = 12, 4*v + 11 = -x*f - 8 for f.
-3
Let n = -475 + 525. Let l be (n/(-125) - (-26)/(-10)) + 6. Solve 4*p - 2*b = 0, -2*p - l*b - b = 10 for p.
-1
Let p(l) = 3*l**3 + 2*l**2 - 24*l. Let r be p(0). Solve r = m + 5, 5*u + m + 20 = 10*u for u.
3
Let s = -36 - -46. Let z(j) = -j**2 + 4*j - 13. Let a be z(s). Let m = -73 - a. Solve m = -4*d - 20, -q - 17 = 3*d - 0*d for q.
-2
Let o = 45 - -43. Let j be (-14)/(-2*4/o). Let i be (-1)/(-3) + j/33. Solve 0 = -3*l + 3*c - 21, 2*c - 30 = i*l - 2*c for l.
-2
Let i be (-27)/(-12)*2*20/45. Suppose -3*x - 67 + 186 = i*o, 0 = -o + 4. Solve 2*n + 3*n = 3*j - x, 5*n + 9 = -4*j for j.
4
Let x be (12/(-4))/((-4)/60). Suppose a = 43*d - x*d + 25, 61 = 5*d + a. Let n = -2 - -4. Solve -n*b - 2*z - d = -b, 0 = 2*b + 5*z + 29 for b.
-2
Suppose 0 = 154*z - 85 - 377. Solve 65*a - 63*a + z*u - 16 = 0, -3*a - 2*u + 19 = 0 for a.
5
Let i be (6/1 + (-528)/96)*0. Solve a + 5*s - 3 = 5*a, i = -4*s - 4 for a.
-2
Let i = 6909 + -6903. Let r(a) be the first derivative of 2*a**3/3 + a**2 - 2. Let l be r(-2). Solve i + l = y + 2*h, 4*y = 4*h - 8 for y.
2
Let g(c) = 162*c + 1307. Let a be g(-8). Solve -5*y = 5*n - 11 - 14, 0 = y + 3*n - a for y.
2
Let f = -1236 - -1257. Solve -19 = 4*i - w - f, -5*i - 2*w = 17 for i.
-1
Let n(l) be the first derivative of l**3/3 - 136*l - 164. Let x be n(12). Solve 0 = 3*s - r - x, 4*s - 2 = -3*r for s.
2
Suppose h + 15 = 4*h. Let d(t) = -t**2 + 5*t + 6. Let i be d(0). Solve h*y + 26 = 3*u - i*u, -6 = 3*u for y.
-4
Let r = 82 + -68. Let z(g) = -g**2 + 16*g - 6. Let q be z(r). Suppose q*x - 20*x = 4. Solve 4*s = -5*u + 8, -s - 2*u = x*u - 2 for s.
2
Let v = -2025 - -2027. Solve 5*a = -15, 3*z - v*a + 15 = -4*a for z.
-3
Suppose 4*d + 108 + 36 = 5*v, 116 = 4*v - 3*d. Suppose -55*t + 63*t = v. Solve -25 = -4*s - q, 0 = 5*s + q - t*q - 10 for s.
5
Let i be ((-24)/16)/((-3)/8)*(-18)/(-36). Solve 3*o - i*w + 43 = 50, 0 = -2*o - w for o.
1
Let k(h) = 5*h - 22. L | {
"pile_set_name": "DM Mathematics"
} |
34?
True
Does 30 divide 2430?
True
Does 33 divide 561?
True
Is 9741 a multiple of 191?
True
Is 80218 a multiple of 210?
False
Is 33 a factor of 32056?
False
Is 349 a multiple of 5?
False
Does 6 divide 1314?
True
Does 14 divide 7222?
False
Is 59 a factor of 16461?
True
Is 2964 a multiple of 78?
True
Is 11954 a multiple of 86?
True
Is 18 a factor of 5269?
False
Does 139 divide 9591?
True
Is 8 a factor of 310?
False
Is 8 a factor of 13270?
False
Is 119 a factor of 5242?
False
Is 57155 a multiple of 28?
False
Is 139 a factor of 14873?
True
Is 4788 a multiple of 109?
False
Is 52 a factor of 1456?
True
Is 39261 a multiple of 185?
False
Does 6 divide 245?
False
Is 1519 a multiple of 10?
False
Does 12 divide 150?
False
Is 275 a multiple of 10?
False
Is 1848 a multiple of 56?
True
Is 7 a factor of 8494?
False
Is 248 a multiple of 13?
False
Does 2 divide 661?
False
Does 9 divide 48668?
False
Is 41 a factor of 6861?
False
Is 63 a factor of 1899?
False
Is 21 a factor of 11473?
False
Does 63 divide 4221?
True
Does 93 divide 18042?
True
Does 264 divide 14364?
False
Is 88 a factor of 7376?
False
Is 1194 a multiple of 16?
False
Is 385 a multiple of 35?
True
Does 90 divide 77592?
False
Is 60 a factor of 5335?
False
Does 41 divide 1025?
True
Is 31 a factor of 403?
True
Is 21 a factor of 3066?
True
Is 201 a factor of 72443?
False
Is 448 a multiple of 56?
True
Is 1264 a multiple of 176?
False
Is 24 a factor of 136?
False
Does 32 divide 1984?
True
Is 16 a factor of 2212?
False
Does 8 divide 5925?
False
Is 31611 a multiple of 41?
True
Is 43 a factor of 10937?
False
Is 70 a factor of 280?
True
Does 38 divide 2964?
True
Is 63 a factor of 8820?
True
Does 12 divide 6240?
True
Is 20 a factor of 840?
True
Is 13 a factor of 29887?
True
Is 8 a factor of 8072?
True
Is 27 a factor of 405?
True
Does 27 divide 7722?
True
Is 915 a multiple of 49?
False
Is 2251 a multiple of 24?
False
Does 16 divide 240?
True
Is 21412 a multiple of 53?
True
Is 150 a factor of 22500?
True
Does 8 divide 1761?
False
Is 1585 a multiple of 25?
False
Is 144 a multiple of 3?
True
Does 25 divide 1920?
False
Is 5834 a multiple of 41?
False
Is 7 a factor of 693?
True
Does 13 divide 338?
True
Does 26 divide 2680?
False
Is 480 a multiple of 24?
True
Is 2015 a multiple of 13?
True
Is 114 a factor of 792?
False
Is 13279 a multiple of 61?
False
Is 32175 a multiple of 9?
True
Is 24674 a multiple of 10?
False
Is 25 a factor of 11492?
False
Is 18669 a multiple of 8?
False
Is 55 a factor of 10230?
True
Is 95 a factor of 2280?
True
Is 39544 a multiple of 25?
False
Is 2156 a multiple of 11?
True
Is 10 a factor of 257?
False
Is 256 a multiple of 8?
True
Is 40416 a multiple of 16?
True
Is 23885 a multiple of 17?
True
Is 6304 a multiple of 67?
False
Is 539 a multiple of 12?
False
Does 20 divide 1032?
False
Is 535 a multiple of 8?
False
Is 5523 a multiple of 27?
False
Is 3 a factor of 132?
True
Does 36 divide 13608?
True
Is 376 a multiple of 2?
True
Is 80296 a multiple of 13?
False
Is 99 a factor of 9624?
False
Is 4760 a multiple of 4?
True
Does 194 divide 43068?
True
Is 11 a factor of 101236?
False
Is 5 a multiple of 3?
False
Is 6410 a multiple of 45?
False
Is 32354 a multiple of 14?
True
Does 64 divide 1984?
True
Is 13 a factor of 9087?
True
Is 1348 a multiple of 4?
True
Is 220 a factor of 22440?
True
Is 36 a factor of 11016?
True
Does 13 divide 260?
True
Does 13 divide 2275?
True
Does 14 divide 20071?
False
Is 19908 a multiple of 79?
True
Is 54 a factor of 481?
False
Is 5664 a multiple of 24?
True
Does 21 divide 26634?
False
Is 56 a multiple of 4?
True
Is 114296 a multiple of 52?
True
Is 1310 a multiple of 6?
False
Is 13 a factor of 1557?
False
Is 64 a factor of 23168?
True
Is 33 a factor of 23256?
False
Is 2471 a multiple of 3?
False
Is 994 a multiple of 7?
True
Does 7 divide 530?
False
Is 3 a factor of 110?
False
Is 55 a factor of 9576?
False
Is 17 a factor of 3548?
False
Is 30297 a multiple of 5?
False
Is 16 a factor of 7707?
False
Is 27 a factor of 648?
True
Is 25 a factor of 10675?
True
Is 561 a multiple of 17?
True
Is 28 a factor of 5348?
True
Does 3 divide 1101?
True
Is 19602 a multiple of 33?
True
Does 25 divide 450?
True
Is 130 a factor of 15470?
True
Is 2640 a multiple of 48?
True
Is 142 a factor of 13348?
True
Does 6 divide 3168?
True
Does 13 divide 741?
True
Does 15 divide 1260?
True
Does 83 divide 1826?
True
Is 2 a factor of 817?
False
Is 31 a factor of 4061?
True
Does 16 divide 10704?
True
Does 23 divide 1702?
True
Does 30 divide 3330?
True
Is 18 a factor of 1116?
True
Is 98 a factor of 10682?
True
Is 8 a factor of 40585?
False
Does 34 divide 952?
True
Does 21 divide 460?
False
Is 25 a factor of 3970?
False
Is 3068 a multiple of 13?
True
Is 13 a factor of 2224?
False
Does 113 divide 3277?
True
Does 7 divide 67548?
False
Is 191 a multiple of 17?
False
Is 4 a factor of 13530?
False
Is 4041 a multiple of 9?
True
Is 17 a factor of 1258?
True
Does 35 divide 28630?
True
Is 6 a factor of 295?
False
Is 120 a factor of 20760?
True
Does 22 divide 678?
False
Is 138295 a multiple of 31?
False
Is 30 a factor of 1103?
False
Does 10 divide 533?
False
Is 335 a multiple of 67?
True
Is 1352 a multiple of 71?
False
Is 10 a factor of 7000?
True
Is 286 a multiple of 11?
True
Is 28259 a multiple of 367?
True
Does 13 divide 574?
False
Does 11 divide 5267?
False
Does 40 divide 9320?
True
Does 35 divide 7467?
False
Does 40 divide 40?
True
Does 9 divide 594?
True
Is 57 a factor of 2524?
False
Is 325 a multiple of 25?
True
Is 10260 a multiple of 54?
True
Does 4 divide 6696?
True
Does 26 divide 47172?
False
Is 85 a factor of 4143?
False
Does 37 divide 6280?
False
Does 9 divide 1593?
True
Does 9 divide 270?
True
Does 95 divide 1154?
False
Is 2200 a multiple of 12?
False
Is 121 a factor of 2662?
True
Does 25 divide 207?
False
Is 7257 a multiple of 41?
True
Does 9 divide 1584?
True
Is 627 a multiple of 57?
True
Is 22482 a multiple of 12?
False
Is 33 a factor of 523?
False
Is 27 a factor of 1377?
True
Is 153 a multiple of 17?
True
Is 20 a factor of 23873?
False
Is 60 a factor of 1414?
False
Does 89 divide 6141?
True
Is 23 a factor of 521?
False
Is 11442 a multiple of 9?
False
Is 18 a factor of 558?
True
Is 61 a factor of 2318?
True
Does 103 divide 35306?
False
Is 88274 a multiple of 38?
True
Is 15 a factor of 28890?
True
Is 5 a factor of 283?
False
Is 26 a factor of 1612?
True
Is 7 a factor of 27818?
True
Is 11 a factor of 1527?
False
Is 6 a factor of 78?
True
Is 3087 a multiple of 49?
True
Does 27 divide 21463?
False
Does 9 divide 1017?
True
Is 3 a factor of 110?
False
Does 8 divide 176?
True
Is 39 a factor of 45474?
True
Does 12 divide 58082?
False
Is 15261 a multiple of 16?
False
Is 290 a multiple of 29?
True
Does 235 divide 16685?
True
Is 913 a multiple of 11?
True
Is 2420 a multiple of 14?
False
Is 90 a multiple of 18?
True
Is 14 a factor of 2226?
True
Does 34 divide 2074?
True
Is 32 a factor of 634?
False
Does 337 divide 9290?
False
Is 54 a factor of 7649?
False
Is 2 a factor of 1627?
False
Is 148096 a multiple of 32?
True
Does 17 divide 2642?
False
Does 77 divide 352?
False
Is 89 a factor of 2848?
True
Is 53159 a multiple of 53?
True
Does 9 divide 2043?
True
Is 6 a factor of 258?
True
Is 28 a factor of 6404?
False
Is 13150 a multiple of 157?
False
Does 12 divide 5376?
True
Is 548 a multiple of 4?
True
Is 46 a factor of 4056?
False
Does 17 divide 510?
True
Is 5939 a multiple of 12?
False
Is 48 a factor of 921?
False
Is 22 a factor of 13669?
False
Is 24 a factor of 3048?
True
Does 27 divide 702?
True
Is 3 a factor of 1935?
True
Is 184 a factor of 3864?
True
Does 11 divide 1592?
False
Is 5 a factor of 3575?
True
Is 30 a factor of 480?
True
Is 9 a factor of 63?
True
Does 102 divide 4692?
True
Is 4032 a multiple of 48?
True
Does 15 divide 25303?
False
Is 8820 a multiple of 21?
True
Is 3152 a multiple of 79?
False
Is 13 a factor of 2046?
False
Does 7 divide 3789?
False
Is 56 a factor of 3589?
False
Is 6 a factor of 2994?
True
Does 7 divide 79187?
False
Does 60 divide 16003?
False
Is 9315 a multiple of 45?
True
Is 96252 a multiple of 52?
True
Is 1023 a multiple of 13?
False
Is 21 a factor of 845?
False
Is 580 a multiple of 7?
False
Is 273 a multiple of 13?
True
Does 17 divide 289?
True
Does 3 divide 102?
True
Is 6361 a multiple o | {
"pile_set_name": "DM Mathematics"
} |
- 20*n + 99*n, -4*n - 53 = -5*x for x.
1
Solve -10365*w - 545 = -5*a - 10325*w, 0 = 2*a + 5*w + 76 for a.
-3
Solve 857*r + 4*s = 856*r + 23, 3*s = -5*r + 13 for r.
-1
Solve 0 = -5*j - 4*s - 163, 0*j - j - 630 + 353 = 6*s for j.
5
Solve 5100*z - 5102*z = -3*n + 53, -12*n - z = 94 for n.
-5
Solve 15 = -5*b + 3162*y - 3157*y, 3*b - 2*b - 4*y = -0*b - 27 for b.
5
Solve -165*w + 3*v + 1633677 - 1633983 = 0, -4*w - 5*v + 14 - 62 = 0 for w.
-2
Solve 17 = -7*u + 2*g, -634*u - 5*g - 90 = -625*u for u.
-5
Solve 2*g - 4*g = 13*w - g + 4*g + 83, -6*g = 3*w + 24 for w.
-6
Solve 5*h + 45 = 2113*c - 2116*c - 12, -4*h = 3*c + 60 for h.
3
Solve -376*o - 11 = 2*v - 377*o, -49 = -10*v - 3*o for v.
1
Solve 54*c + 3*i + 20 = 111*c - 55*c, 0 = -4*c + 8*i + 36 for c.
13
Solve 0 = -5*x + 5, 986 = 13*n + 2*x - 576 for n.
120
Solve 2*q + 16 - 2 - 34 = 6*x, -28 = 5*x + 4*q for x.
-4
Solve -3*t - 53 = -3*j - j, -4*t = 5*j + 2*j - 0*j - 102 for j.
14
Solve -k = 7*w + w - 11*w - 52, 28*w = -k + 16*w + 37 for k.
49
Solve -5*q + 3*m + 86 = -0*m + 95, 6*m + 2*m - 64 = 0 for q.
3
Solve -4*y - 5*n = -42, -51760*y - 5*n + 48 = -51759*y for y.
-2
Solve 3*g = 3*u - 2*u - 2, 5*g - 7 + 15 = 2*u for g.
4
Solve -c = -16*m + 225, -3*c - 3*m + 362 = -2*m + 351 for c.
-1
Solve -12*s - 88415 = -2*r - 88441, 0 = s - r - 3*r - 121 for s.
-3
Solve 0 = -4*w + 4*c + 86 - 114, 2*c = -330*w + 336*w + 5*c - 3 for w.
-2
Solve z = 5*y - 107, -177 = -16*y + 2*z + 169 for y.
22
Solve -7*z = -3*g + 557 - 19, 5*g - 846 = 11*z for g.
2
Solve -3*k = v + 36, -18182*v + 18177*v - 57*k - 726 = 0 for v.
3
Solve 3*f + 4*v = -87, -123*f - 8233*v + 8230*v = 877 - 208 for f.
-5
Solve -q + 4423 - 4492 = -5*a, 2*q + a = 4 + 1 for q.
-4
Solve 0 = 117*p + 3*h + 3168, -9*p - h = -4*p + h + 141 for p.
-27
Solve 119*t - 5*q = 124*t + 52 + 13, 21*t = -3*q - 309 for t.
-15
Solve -45*l - 37 - 126 - 60 = -2*v + 10*l + 5, 0 = 6*l + 24 for v.
4
Solve 4*c - 77*u - 77*u + 321 = -159*u, 18*c - 2*u = 15*c + 133 for c.
1
Solve -3*g - 5*j = 25, 2*g + j + 187 = -35*j + 7 for g.
0
Solve -10 = -7445*a + 7450*a + 3*s, a = -10*a + 5*s - 22 for a.
-2
Solve 6*d + 436 - 868 = 5*i - 456, -i + 4 = -d for d.
-4
Solve 0 = -6*s - 5*f + 165, 0 = -2*f + 18977 - 18923 for s.
5
Solve -2*a + 2511 - 2694 = 3*q, 2*a - 8*a = -q - 41 for a.
-3
Solve 4*w = b + 18153 - 18107, 5*b + 155 = -5*w for b.
-34
Solve -5*n - 6*x + 11 = 212, -13*x = n - 0*n + 465 for n.
3
Solve -f + 127*o + 49 = 122*o, -f + 22*o + 219 = 0 for f.
-1
Solve 0 = 37*j - 38*j + 8*q + 124, -2*j + 11 = -2*q - 27 for j.
4
Solve 17*i - 156 = -3*h, -130*i = 3*h - 126*i - 117 for h.
35
Solve 38*q = -13*p - 45*q + 82*q - 125, 20 = 4*q for p.
-10
Solve 0 = 7*m - 3*m - 2*m + 3*m + 3*k + 30, -25 - 10 = 7*k for m.
-3
Solve 109*o + 39 = 3*l + 113*o, -o - 18 = -3*o - 2*o + o for l.
5
Solve 160 = -2*v - y + 184, -56 = -2*v - 3*y for v.
4
Solve 0*w - w - 3*m = -9, -5*m = -3*w - 0*m - 8*m + 15 for w.
3
Solve 16*t - 18*t + 0*v + 43 = v, -t = -5*v + 237 for t.
-2
Solve 4*a - 2*p = 214, -199*a - 1328 = -224*a + 3*p for a.
53
Solve 0 = -5*r - 12*v + 15*v + 9 + 53, r - 221 = 30*v + 350 for r.
1
Solve 5*i = 6*o + 61, -5*i - 3*o - 6535 = -6632 for i.
17
Solve 2*t = -5*p + 84, -t + 18 = 15990*p - 15989*p for t.
2
Solve g + 33 - 1 = -6*n, 2*g + g = -106 + 46 for n.
-2
Solve -4*f = 6*q - 184, -132*f + 2*q = -136*f + 56 for f.
-2
Solve -5*k = 58278123*s - 58278128*s - 80, -2*k - 3*s - 33 = 0 for k.
3
Solve -52*x + z + 663 = 90, 320 - 128 = 109*x - 92*x - 5*z for x.
11
Solve 2*j - 91794*o = 4*j - 91796*o - 22, -2*j = 4*o + 14 for j.
5
Solve g - 22 = 5*t, -108*t - 227*g - 552 = -223*g for t.
-5
Solve 2*p - p + 5*w = -p + 65, p + 5 = 7*w + 9 for p.
25
Solve 7*g - 5*g - a - 13*a - 9 = 7*g, 5*a - 20 = 0 for g.
-13
Solve -5*z + 59 = 2*l + 33, -7*l + 5*z + 4 = l for l.
3
Solve 0 = k + 2*b + 2, 115469*b = -2*k + 115466*b - 8 for k.
-10
Solve s + 129 - 211 = -2*k - 109, 2*s + 36 = 5*k for s.
-23
Solve -23476*z = -2*x - 23472*z - 154, 2*x - 5*z = -157 for x.
-71
Solve 4*g = 3*h + 2*h - 38 - 58, 4*g - 60*h + 39*h + 416 = 0 for g.
1
Solve -h + l = 9, -4*h - 3*l = -10192 + 10214 for h.
-7
Solve 3*w - 20*t - 30 = 19*t - 36*t, -1298*w + 10390 = -3*t for w.
8
Solve -i + 2*j - 20 = 5*j, 4*i = -4*j + 120 - 144 for i.
1
Solve -118*i = -115*i - 17*s + 34, -4*s + 2 = 3*i - 6 for i.
0
Solve -46 = a + 5*x, -48 = 2*a - 856*x + 855*x for a.
-26
Solve -8*i + b = -12*i + 5, 76 = 79*i + 3*b - 73 for i.
2
Solve -11*q + 5 + 100 = -16*q - 2*v + 3*v, 26*v - 63 = 3*q for q.
-21
Solve -5*r + 24*w - 23*w = 0, 3*r + 35*w + 189*w + 1123 = 0 for r.
-1
Solve -3*z - 55 = 15320*k - 15315*k + 40, 40 + 87 = -3*z - 7*k for z.
-5
Solve -2*o + 2*k = -5*o + 5*k - 153, -4*o = -7*k + 219 for o.
-46
Solve -j = -6*h + 58, -4*h - 392*j + 146 = -395*j for h.
2
Solve m - 2*m - 5*v - 102 = 3*m - 2*v, 17*m + 2*v + 111 = 0 for m.
-3
Solve -2*c + 147206*h = 147207*h + 31, 4*c - 4*h = 112 for c.
-1
Solve j + n = -n - 1, 4*n - 3 = j + 2*j for j.
-1
Solve -z + 13 - 2 = -11*i, 15*z - 10*z + 4*i - 232 = 0 for z.
44
Solve 290 = -10*l + 4*d, 3*l - 182*d + 108 = -185*d for l.
-31
Solve -19*x = -5*n - 125, -2*n + 66*x - 65*x = 17 for n.
-6
Solve -4*s - 4 = 4*x, -3*x + 17*s = 18*s + 9 for x.
-4
Solve p - 17 + 19 + 58 = -9*p + 2*j, 25*j - 47*j - 15 = -23*j for p.
-3
Solve -83614 + 83580 = 3*m - j, 0 = -4*m + 3*j - 8*j + 151 for m.
-1
Solve 5*d + 109 = q, 5*q - 5 + 76 = -3*d for d.
-22
Solve 2*m = 20*x - 190, -3239*m - x = -3242*m + 5 for m.
5
Solve -4*t - 16535 + 16725 = 5*h, -3*t + 27 = h for h.
42
Solve 3*n - 3236*b = -3235*b - 39, -2*n = 25*b + 103 for n.
-14
Solve -5*i - 3*a = -85, 4*i + 2183198 = 7*a + 2183219 for i.
14
Solve -5*o - 85*i + 90*i = -3*o - 44, 7*o + 13*i - 215 = 0 for o.
27
Solve 3*t + 33 = 3*n, 7*n - 4565*t + 49 = -4576*t for n.
4
Solve -13*x - p + 442 = 0, 46*p = -2*x + 49*p + 68 for x.
34
Solve a + 191*q = 189*q - 139, 3*a - 248 = -a + 4*q for a.
-5
Solve 11*m - 18 = -28*b + 51, 0*m + 11*b - 31 = m + 44 for m.
-9
Solve 47 = -5*g + 2*o - 13, -447 + 465 = -2*g + 2*o for g.
-14
Solve -5160*n + 36 = -4*j - 5158*n, -j - 3*n + 2 + 17 = 0 for j.
-5
Solve 4*c = -4*a - 4, 2*a - 7*c + 3079723 - 3079703 = 0 for a.
-3
Solve -8602 = -5*p - x - 8619, 733*x = -3*p + 2187 for p.
-4
Solve 50 + 30 = 5*l + 8*k + 12, k + 31 - 49 = -3*l for l.
4
Solve -5*p - 5*a = 0, -3*p - 5*a + 23*a = 20*a - 4 for p.
4
Solve -5*c = 4*h + 159, 0 = -8948*h + 8949*h - c + 33 for h.
-36
Solve -734*y + 1900 = -772*y, m = 3*y + 155 for m.
5
Solve -2*j = -2*d + 14, -17*j + 19*j - 1113*d + 18 = -1109*d for j.
-5
Solve 3*a + i = -4*i + 26, -14*a - 14*a + 26*a = -i for a.
2
Solve 2*f = -r + 3*f - 1, 4*r + 5*f = 2*r + r + 23 for r.
3
Solve -3*n - 39 = 3*y, -n - 6*y - 71*y = -4*n - 39 for n.
-13
Solve 0 = -5*z + 3*a + 10, 12*z - 3*a + 676 = 721 for z.
5
Solve -653938*h - 3*y - 94 = -653934*h, 0 = -2*h + 4*y - 36 for h.
-22
Solve 0 = 5*j - 8*a + 7*a - 3*a - 45, 2*j - 19 = 5*a + 33 for j.
1
Solve 0 = 2*o - 3*i - 29, 10*i = 4*o + 2*o + 11*i + 43 for o.
-5
Solve 51 = -4*p - 3*a, -61 = 4*p + 6*a + 102 - 121 for p.
-15
Solve 69 = -18*o - c, o = 4*c - 100 + 157 for o.
-3
Solve 281*a - 5*t = 278*a + 4, 8*a + 18 = -6*a - 18*t + 23*t for a.
-2
Solve 2*k - 299 + 203 = 0, 0 = 3*h + 67*k - 3210 for h.
-2
Solve -5*r + 5 = -0*r - 2*f, 23 = -433*r + 430*r - 4*f for r.
-1
Solve 0 = -3*y - 3*r - 150, -293*y - 177 - 38 = -292*y + 4*r for y.
5
Solve -5*i - 5261 = -2*x - 5220, -2*x - 121 = 13*i for i.
-9
Solve 55 = 5*l + 5*h, -9311*h + 9270*h = 5*l - 55 for l.
11
Solve 3*g - 39*f + 12 = 0, 62*g - 23*g = 17*g + 19*g + 3*f - 13 + 1 for g.
-4
Solve 46*z - 14*z + b - 14 = 27*z, 2*z - 168 = -41*b for z.
2
Solve 48*t = 2*b + 62, b + 2 = 4*t - 18 - 11 for t.
0
Solve 5*q + 14 = -13*d - 16*d + 144, d + 472*q = 484*q + 41 for d.
5
Solve 23 = -540*m + 535*m - 2*p, m - 22 = -28*p + 29*p for m.
3
Solve 20*p - 2*l + 46 = 10*p, 0*p + 0 = 5*p - 3*l + 19 for p.
-5
Solve 17936 - 17962 = -4*b + 2*r, -4*r - 22 - 10 = -5*b - 17 + 28 for b.
3
Solve k + 73 = 5*y, 17*y + 5*k + 68749 = 69014 for y.
15
Solve -171*h + 166*h = -n + 6, 5*n = -46*h - 254 for h.
-4
Solve 3*s = 36*z - 792, -132 = -6*z + 25*s + 35*s - 55*s for z.
22
Solve -2 = -15*f + 14*f - 10*q, -f - 2207*q + 2202*q = -2 for f.
2
Solve 32 = 128*j - 150*j - 0*r - 2*r, 0 = j + 2*r + 11 | {
"pile_set_name": "DM Mathematics"
} |
- 510. Determine g(65).
-120
Let m(c) = 4*c**2 - 7*c + 62. Calculate m(8).
262
Let k(f) = -5*f - 110. Give k(-25).
15
Let j(d) = d**3 - 27*d**2 + 11*d + 889. Give j(25).
-86
Let z(f) = -229*f**2 + 5728*f - 75. What is z(25)?
0
Let q(f) = -237*f + 11133. What is q(47)?
-6
Let b(x) = -878*x + 6178. Determine b(7).
32
Let j(v) = -18*v - 121. Determine j(-7).
5
Let u(g) = -4*g**2 + 48*g - 400. Determine u(14).
-512
Let f(h) = -35*h - 2246. Determine f(-64).
-6
Let t(u) = 131*u**2 + 1963*u - 21. What is t(-15)?
9
Let z(i) = i**3 - 47*i**2 + 137*i - 23. What is z(3)?
-8
Let p(i) = 62*i - 1377. Give p(21).
-75
Let n(d) = -d**3 + 24*d**2 - 123*d + 29. Give n(17).
-39
Let d(w) = w**3 + w**2 - 57*w + 24. What is d(7)?
17
Let a(i) = -i**2 + 51*i - 527. What is a(39)?
-59
Let z(n) = -26*n**2 + 161*n - 9. Give z(6).
21
Let a(s) = -7*s**2 - 31*s + 172. Determine a(8).
-524
Let p(c) = 155*c - 88. What is p(3)?
377
Let k(m) = -525*m - 4333. What is k(-9)?
392
Let r(c) = -11*c**3 + 9*c**2 + 21*c + 28. Give r(-2).
110
Let p(s) = 77*s + 4854. Give p(-63).
3
Let o(x) = x**3 - 14*x**2 + 17*x + 20. Give o(8).
-228
Let b(o) = -13*o + 77. Give b(6).
-1
Let x(s) = -s**3 + 9*s**2 + 73*s - 657. Calculate x(9).
0
Let u(t) = -t**2 + 49*t + 97. Determine u(-4).
-115
Let s(m) = -m**2 + 82*m + 599. Give s(89).
-24
Let n(c) = -2*c**2 - 27*c - 126. Calculate n(-10).
-56
Let u(w) = 4*w**3 + 166*w**2 + 84*w + 90. Give u(-41).
8
Let t(h) = -2*h**3 - 5*h**2 + 7*h - 5. Calculate t(2).
-27
Let r(m) = -23*m - 677. What is r(-49)?
450
Let d(v) = 62*v - 302. Give d(5).
8
Let d(o) = -9762*o + 48807. Give d(5).
-3
Let p(b) = -318*b**3 + 3*b**2 - 5*b + 3. Calculate p(1).
-317
Let f(z) = 82*z - 270. Determine f(7).
304
Let z(m) = -1037*m - 5173. Calculate z(-5).
12
Let a(j) = -3*j**2 - 143*j + 659. Determine a(-52).
-17
Let x(r) = -5*r**2 + 614*r + 3335. Give x(128).
7
Let l(d) = -19348*d + 96742. Give l(5).
2
Let z(a) = -a + 53. Determine z(-18).
71
Let d(h) = 28*h + 161. Give d(-6).
-7
Let a(c) = -c**3 + 6*c**2 - 4*c + 34. Calculate a(6).
10
Let t(c) = -c**2 - 7*c + 373. Calculate t(16).
5
Let o(p) = -2*p**3 - 21*p**2 - 53*p + 8. Calculate o(-5).
-2
Let v(l) = -2*l**3 + 12*l**2 + 331*l - 1962. Determine v(6).
24
Let z(f) = 247*f - 5805. Determine z(23).
-124
Let p(j) = -j**2 - 6239*j + 56236. Calculate p(9).
4
Let j(t) = 282*t**2 + 53*t - 54. What is j(1)?
281
Let f(k) = k**2 - 34*k - 105. Determine f(-3).
6
Let k(q) = 20*q**2 + 32*q + 22. What is k(-1)?
10
Let r(y) = y**2 + 44*y + 217. What is r(-6)?
-11
Let k(q) = q**3 + 37*q**2 - 167*q - 83. Calculate k(-41).
40
Let z(p) = 7*p**2 + 433*p + 1195. Determine z(-59).
15
Let c(n) = 7*n + 27. Calculate c(-11).
-50
Let k(l) = -9*l**2 - 135*l + 6. What is k(-15)?
6
Let c(t) = -t**3 - 15*t**2 - 30*t + 2. Give c(-9).
-214
Let p(q) = -23*q + 404. Determine p(52).
-792
Let y(t) = t**3 - 39*t**2 - 136*t + 6610. Determine y(38).
-2
Let p(a) = -56*a - 714. Give p(-13).
14
Let g(p) = -2*p**3 + 622*p**2 + 1253*p - 323. Calculate g(313).
-10
Let m(t) = 7*t**3 - 91*t**2 + 179*t + 4. What is m(2)?
54
Let b(h) = 14*h + 186. Calculate b(-14).
-10
Let w(z) = -z**2 - 1608*z + 88029. What is w(53)?
-4
Let l(g) = 40*g + 201. Calculate l(-6).
-39
Let b(q) = q**3 + q**2 - 5. Calculate b(-3).
-23
Let d(x) = -49*x + 14. Determine d(1).
-35
Let q(i) = -2*i**2 + 66*i + 175. Determine q(36).
-41
Let h(n) = -146*n - 8168. What is h(-56)?
8
Let x(y) = y**3 + 5*y**2 + 2*y - 11. Determine x(-4).
-3
Let q(d) = 870*d - 3317. Give q(4).
163
Let s(p) = -p**2 + 35*p - 318. Calculate s(7).
-122
Let r(u) = -u**3 + 73*u**2 - 269*u - 18. Determine r(4).
10
Let d(z) = 13*z - 294. Calculate d(27).
57
Let b(q) = -2*q**3 - 23*q**2 + 12*q + 62. Give b(-13).
413
Let w(j) = -22*j - 717. Give w(-25).
-167
Let r(k) = -45*k - 523. Calculate r(-5).
-298
Let n(h) = 11937*h - 83554. Calculate n(7).
5
Let v(t) = t**2 - 32*t + 12. Determine v(37).
197
Let g(n) = -4*n**2 - 28*n + 7. What is g(-2)?
47
Let j(a) = 2*a**3 + 107*a**2 - 49*a + 95. What is j(-54)?
-175
Let d(x) = -13*x**2 - 7*x + 7. Give d(-1).
1
Let d(k) = -126*k + 5163. What is d(41)?
-3
Let y(r) = r**2 - 75*r - 42. Give y(0).
-42
Let y(u) = -6517*u - 26067. What is y(-4)?
1
Let i(w) = -9*w**3 + 18*w**2 + 7*w - 11. Determine i(2).
3
Let l(s) = s**3 - 66*s**2 - 148*s + 832. Determine l(68).
16
Let n(q) = q**2 + 3722*q - 26101. Give n(7).
2
Let z(k) = -38*k - 159. Calculate z(0).
-159
Let c(r) = 2*r**3 - 18*r**2 + 30*r - 199. Give c(8).
-87
Let s(o) = o**3 + 27*o**2 + 59*o + 1602. Give s(-27).
9
Let j(g) = 211*g + 1296. Give j(-6).
30
Let g(h) = -h**3 - 2*h**2 + 27*h - 8. Calculate g(4).
4
Let z(u) = 4*u**3 + 11*u**2 - 65*u - 2. Determine z(5).
448
Let i(r) = 18*r**2 + 40*r + 1. Determine i(-3).
43
Let s(z) = -5*z**3 + 69*z**2 - 18*z + 450. Calculate s(14).
2
Let x(u) = u**3 - 2*u**2 - 37*u + 8. Calculate x(7).
-6
Let i(r) = 3*r**2 + 191*r + 488. What is i(-61)?
0
Let a(p) = -p - 50. Determine a(7).
-57
Let p(r) = -3*r**3 - 3*r**2 + 4*r + 5. Determine p(3).
-91
Let p(b) = -151*b - 553. What is p(-4)?
51
Let f(b) = b**2 + 6*b - 76. Determine f(12).
140
Let p(h) = 114*h + 8. Determine p(0).
8
Let s(g) = g**3 - 7*g**2 - 18*g + 100. What is s(6)?
-44
Let m(r) = -r**2 - 33*r + 93. Determine m(-34).
59
Let c(n) = n**3 + 22*n**2 + 24*n - 20. Give c(-21).
-83
Let o(h) = 4*h**3 + 249*h**2 + 537*h - 166. Give o(-60).
14
Let i(c) = -c**3 - 35*c**2 + 162*c + 237. What is i(-39)?
3
Let a(k) = 3*k**3 - 3*k**2 - 20*k + 63. Determine a(5).
263
Let h(c) = -c**3 - 29*c**2 - 81*c + 30. What is h(-26)?
108
Let k(v) = -v**3 - 42*v**2 + 294*v - 19. Determine k(-48).
-307
Let j(c) = -66*c + 3161. Calculate j(48).
-7
Let t(i) = -i**2 + 9*i + 101. Calculate t(21).
-151
Let m(b) = -139*b + 247. What is m(2)?
-31
Let q(m) = 678*m + 13573. Calculate q(-20).
13
Let h(y) = 81*y - 976. What is h(12)?
-4
Let z(o) = -42*o + 51. Give z(2).
-33
Let z(s) = -s**3 + 28*s**2 + 117*s + 1589. Calculate z(33).
5
Let d(p) = -2*p**2 + 20*p - 44. Determine d(8).
-12
Let g(q) = q**3 + q**2 - 258*q - 756. Give g(-3).
0
Let c(d) = d**2 + 44*d + 152. Determine c(-26).
-316
Let w(k) = -k**3 - 33*k**2 - 47*k - 48. Calculate w(-32).
432
Let s(a) = 5*a**2 + 462*a + 628. Calculate s(-91).
-9
Let j(k) = -9*k**3 - 4*k**2 + 2*k + 6. Give j(3).
-267
Let c(b) = -165*b - 676. Calculate c(-4).
-16
Let t(p) = 852*p + 3405. Calculate t(-4).
-3
Let u(j) = 3*j**2 + 13*j - 230. Calculate u(7).
8
Let s(f) = 2*f**2 - 976*f + 28330. Give s(31).
-4
Let j(f) = -2308*f**2 - 11540*f - 1. What is j(-5)?
-1
Let f(h) = 2*h**2 - 5*h - 222. Determine f(-11).
75
Let s(r) = 3*r**2 + 31*r + 24. Determine s(-7).
-46
Let m(a) = -174*a**3 - 4*a**2 + 2*a + 6. Give m(-1).
174
Let s(x) = -31*x**2 - 189*x - 20. Give s(-6).
-2
Let o(f) = f**3 - 6*f**2 - 84*f + 498. Determine o(6).
-6
Let p(c) = 249*c**2 + 284*c - 285. Determine p(1).
248
Let m(n) = -n**2 + 119*n - 2742. Determine m(88).
-14
Let i(b) = -1739*b + 17378. What is i(10)?
-12
Let x(f) = 34*f**3 - 9*f**2 - 13*f - 3. What is x(-1)?
-33
Let z(f) = -2*f**3 + 104*f**2 - 4*f + 177. What is z(52)?
-31
Let b(c) = -c**2 + 36*c + 76. Determine b(-2).
0
Let p(u) = -u**3 - 18*u**2 - 8*u - 184. Calculate p(-18).
-40
Let s(v) = v**3 - 48*v**2 + v - 115. What is s(48)?
-67
Let s(r) = 135*r + 8. Calculate s(3).
413
Let m(z) = -42*z**2 - 8*z - 17. What is m(-2)?
-169
Let j(f) = -f**3 + 25*f**2 - 48*f - 57. Determine j(23).
-103
Let k(r) = -2*r - 270. What is k(-6)?
-258
Let j(f) = 26*f + 155. Calculate j(-4).
51
Let p(r) = -r**3 + 12*r**2 - 39*r + 53. Calculate p(9).
-55
Let m(h) = -h**3 - 12*h**2 - 50*h - 655. Give m(-12).
-55
Let x(d) = -d**3 - 10*d**2 - 36*d - 224. Determine x(-9).
19
Let m(h) = 3*h**3 - 300*h**2 - 302*h - 98. What is m(101)?
3
Let l(w) = -72*w + 2230. What is l(31)?
-2
Let i(z) = 43*z + 529. Give i(-8).
185
Let s(o) = -113*o - 2385. Determine s(-21).
-12
Let v(s) = -159*s**2 + 11*s + 4. Determine v(-2).
-654
Let c(z) = -z**3 + 63*z**2 + 341*z - 142. What is c(68)?
-74
Let k(x) = 5*x**2 - 295*x - 7. Calculate k(59).
-7
Let a(d) = 2646*d + 2604. Determine a(-1).
-42
Let t(r) = 2*r**2 - 98*r - 3497. What is t(-24)?
7
Let n(c) = -2*c**2 + 48*c - 76. What is n(25)?
-126
Let u(w) = 3*w**2 + 5*w + 4. Give u(-7).
116
Let r(w) = -w**2 + 24*w - 143. Calculate r(1 | {
"pile_set_name": "DM Mathematics"
} |
et a = -855 + 2524. Find the second derivative of -819*o**4 - 33*o + 2*o**2 + a*o**4 - 3 - 758*o**4 wrt o.
1104*o**2 + 4
Let x be 10/(-3)*18/(-12). Suppose -148 + 58 = -15*b. What is the second derivative of -v**4 + b*v**x + 35*v + v**4 - 48*v wrt v?
120*v**3
Suppose 0 = -3*z + 4*s + 22, z - 9 + 3 = 2*s. What is the third derivative of 109*l**5 - 17*l**2 - 10*l - z*l**2 - 26*l**5 + 23*l**2 wrt l?
4980*l**2
Let q(u) be the third derivative of -1 - 31/3*u**3 + 14*u**2 + 0*u + 29/6*u**4. What is the derivative of q(i) wrt i?
116
Find the second derivative of 6033*w**3 - 196*w + 197*w - 5521 - 3133 wrt w.
36198*w
Let t(f) be the third derivative of f**6/6 - f**5/12 + f**4/12 + 799*f**3/2 - 8*f**2 - 2*f - 19. What is the derivative of t(c) wrt c?
60*c**2 - 10*c + 2
Let h(c) be the third derivative of 17*c**5/60 + 9*c**4/2 - 6385*c**3/6 - 7337*c**2. Differentiate h(t) wrt t.
34*t + 108
Let u(g) be the first derivative of g**5/8 + g**4/12 - 18*g**3 - 42. Let n(r) be the third derivative of u(r). Find the first derivative of n(d) wrt d.
15
Let b(n) = -4501*n**4 - 2*n**3 - 94*n + 3672. Let c(f) = 9002*f**4 + 5*f**3 + 235*f - 7344. Let k(d) = -10*b(d) - 4*c(d). Differentiate k(x) wrt x.
36008*x**3
Let n(h) be the third derivative of 383*h**7/21 + 4669*h**3/6 - 5481*h**2. Differentiate n(y) with respect to y.
15320*y**3
Let o(b) = 64*b**3 + 6*b**2 - b - 276. Let l(t) = 62*t**3 + 8*t**2 - 274. Let y(r) = 3*l(r) - 4*o(r). Find the second derivative of y(n) wrt n.
-420*n
Let w(n) be the first derivative of -49/3*n**3 - 3/2*n**2 - 27 + 2*n. Find the second derivative of w(m) wrt m.
-98
Let i(u) be the first derivative of 0*u**4 - u**5 - 23/3*u**3 + 186 + 0*u**2 + 298*u. What is the derivative of i(a) wrt a?
-20*a**3 - 46*a
Let d(k) be the second derivative of -577*k**5/20 + 289*k**3/2 + 128*k - 2. What is the second derivative of d(a) wrt a?
-3462*a
Let n(g) be the first derivative of -60*g**2 + 0*g**3 + 85/2*g**4 + g + 151. What is the second derivative of n(m) wrt m?
1020*m
Suppose -7*q - q + 32 = 0. What is the second derivative of -8*h - 12*h**5 - 6 + 123*h**5 + 5*h + q*h wrt h?
2220*h**3
Suppose 39 = -q - 19. Let c = q + 62. Differentiate 5*p - 50 - 5*p + 13*p**c + 57 wrt p.
52*p**3
What is the first derivative of 389*p + 5 - 972*p - 86 - 1347*p - 749*p wrt p?
-2679
Suppose -j + 27 = -z + 2*z, 2*z + 81 = 3*j. Let x = j - 22. What is the third derivative of 32*g**x - g**2 + 19*g**2 - 17*g**5 wrt g?
900*g**2
Let q(k) = -17593*k + 1061. Let g(z) = 26390*z - 1556. Let m(b) = 5*g(b) + 7*q(b). Differentiate m(c) wrt c.
8799
Let b be 18/4 - (-33)/(-22)*-1. What is the third derivative of 32*p**4 + 60*p**2 - 3*p**3 + 96*p**2 - 14*p**b - 32*p**4 - p**3 wrt p?
-1680*p**3 - 24
Let s = -263 - -263. Let a(z) be the third derivative of 0*z + 19/60*z**5 + 3/8*z**4 - 22*z**2 + 0*z**3 + s. Find the second derivative of a(n) wrt n.
38
Let l be 1 + (6 - 6) + 2*-10. Let d = l + 24. Differentiate -42 + 24 + 10*o + d*o wrt o.
15
Suppose -2*c = 5*w - 15, c = 4*c + 15. Suppose -5*v = w*g + 10, -4*g - 10 = 3*v - 0*g. Find the first derivative of 3*k**v + 1 - 2*k + 1 - 10 wrt k.
6*k - 2
Let b(q) = 14679*q**2 - 33646. Let c(s) = -17615*s**2 + 40375. Let i(v) = 17*b(v) + 14*c(v). Differentiate i(t) with respect to t.
5866*t
Let b(l) = 6646*l**3 + 2132*l**2 + 50*l + 21. Let r(s) = 1329*s**3 + 426*s**2 + 9*s + 4. Let f(i) = 2*b(i) - 11*r(i). Find the third derivative of f(w) wrt w.
-7962
What is the derivative of 314*a - 1138*a**2 + 938*a**2 - 312*a - 2396 wrt a?
-400*a + 2
Let i(z) be the first derivative of z**3 + 0*z**5 + 0*z - 1/4*z**4 - 11/2*z**2 + 7/6*z**6 + 37. What is the third derivative of i(g) wrt g?
420*g**2 - 6
What is the third derivative of 77*x**2 - 528*x**2 - 142*x**2 - 1311*x**3 + 98*x**2 - 838*x**2 wrt x?
-7866
What is the second derivative of 7*h**5 - 1 + 260*h - 2*h**5 - 2 - 16*h**3 - 110*h wrt h?
100*h**3 - 96*h
What is the second derivative of -3*c + 72178*c**4 + 4*c - 2*c**2 + 1869 - 71724*c**4 + 4*c**5 wrt c?
80*c**3 + 5448*c**2 - 4
Let z(m) be the second derivative of 0*m**2 + 0 + 0*m**5 + 10/7*m**8 - 65/12*m**4 + 43*m + 0*m**3 + 0*m**7 + 0*m**6. What is the third derivative of z(x) wrt x?
9600*x**3
Find the third derivative of 2*w**2 + 301*w + 139 - 1008*w**5 - 584*w + 283*w wrt w.
-60480*w**2
Let x(l) = 3140*l**2 + 1428*l + 3. Let m(c) = 9390*c**2 + 4282*c + 8. Let i(z) = -3*m(z) + 8*x(z). Find the second derivative of i(q) wrt q.
-6100
Suppose -4*k + 294 - 286 = 0. What is the third derivative of 4*g**6 + 2*g**3 + 12*g**4 - 17*g**4 - 2*g**3 - 2*g**k wrt g?
480*g**3 - 120*g
Let v(o) = -880*o + 1513. Let q(i) = -878*i + 1512. Let a(t) = -4*q(t) + 3*v(t). Differentiate a(b) wrt b.
872
Find the third derivative of -1208*d**2 - 216*d**2 - 29*d**2 + 160*d**2 + 538*d**3 wrt d.
3228
Let x be 6/10*(6 - 11) - -6. Suppose -x*w = 4*i - 22, -3*i + i = -4*w. Find the third derivative of 10*z**2 + w*z**3 - 6*z**3 - 12*z**3 - 6*z**3 wrt z.
-132
Let u(q) = -1322*q**2 + 8*q - 913. Let n(g) = 5286*g**2 - 36*g + 3654. Let r(p) = 2*n(p) + 9*u(p). What is the derivative of r(f) wrt f?
-2652*f
Let u(h) be the second derivative of -347*h**4/3 + 61*h**3/6 - 194*h. Find the second derivative of u(b) wrt b.
-2776
Let h be (-5 + 18)*12/52. Let g(w) be the second derivative of -18*w + 10/3*w**4 + 0*w**2 + 0 - 19/6*w**h. What is the second derivative of g(m) wrt m?
80
Let z(b) be the first derivative of 7712*b**5/5 - 6252*b - 7408. Differentiate z(g) with respect to g.
30848*g**3
Let l = -31 + 231. Suppose -4*h - 192 = -8*h + 4*y, 0 = 4*h - 2*y - l. Find the third derivative of -9*n**4 - 9*n**2 + h*n**2 + n**2 wrt n.
-216*n
Let s(m) be the first derivative of 5*m**2/2 + 58*m - 72. Let o(z) = 2*z + 19. Let g(t) = -14*o(t) + 4*s(t). Differentiate g(w) wrt w.
-8
Let n = -198 + 357. What is the third derivative of 16*b**5 + n*b**2 + 10*b - 5*b - 5*b + 139*b**5 wrt b?
9300*b**2
Let b(u) = -1002*u**3 + 6*u**2 - 3*u + 689. Let a(z) = -z**3 + 2*z**2 - z - 2. Let l(q) = 3*a(q) - b(q). Differentiate l(t) with respect to t.
2997*t**2
Let b(x) = -1161*x**2 - 185*x + 4. Let c(h) = 1163*h**2 + 182*h - 5. Let t(u) = -6*b(u) - 5*c(u). What is the second derivative of t(z) wrt z?
2302
Let f(j) be the first derivative of 2899*j**5/5 + 1545*j**2 - 79. What is the second derivative of f(q) wrt q?
34788*q**2
Let o(y) = -y**2 + y + 1. Let n(f) = -29*f + 14*f**5 - 22*f**5 - 6*f**2 + 4 + 9*f**5. Let m(g) = n(g) - 3*o(g). Find the second derivative of m(u) wrt u.
20*u**3 - 6
Suppose 3*f - i - 2*i = 18, -3*i = -6. Find the first derivative of 34*s - 74 + 131 + f*s wrt s.
42
Let s(r) = -7*r + 9. Let t be ((-21)/(-7) - 8) + (0 - -6). Let i(p) = -p. Let h = 2 - -1. Let x(j) = h*i(j) + t*s(j). Differentiate x(f) with respect to f.
-10
Let i(a) = 1058*a**3 - 2005*a - 5. Let u(x) = -3174*x**3 + 6013*x + 16. Let q(c) = 16*i(c) + 5*u(c). What is the second derivative of q(z) wrt z?
6348*z
Let q(h) = 40*h**3 + 7*h**2 + 12*h - 426. Let k(f) = -19*f**3 - 4*f**2 - 7*f + 213. Let j(i) = -7*k(i) - 4*q(i). What is the derivative of j(u) wrt u?
-81*u**2 + 1
Let q(r) be the second derivative of -1681*r**5/20 + 815*r**4/12 + 268*r - 1. What is the third derivative of q(x) wrt x?
-10086
Let l(m) be the third derivative of m**8/336 + 9*m**5/20 + 181*m**4/24 - m**3/3 + 925*m**2. What is the second derivative of l(t) wrt t?
20*t**3 + 54
Let j = -765 - -769. What is the second derivative of -8*h**j + 0*h**4 - 23*h - 103*h + 24*h**4 - 4*h**4 wrt h?
144*h**2
Let u be (19/38)/((-2)/(-4)). Let y be (u/(-3))/((-6)/90). What is the second derivative of 4*g + 29*g**y + 13*g - 8*g**5 - 9*g**5 wrt g?
240*g**3
Let v(c) be the third derivative of 5861*c**9/504 + c**5/60 + 5*c**4/4 + c**3/2 - 15*c**2 + 44*c + 3. What is the third derivative of v(j) wrt j?
703320*j**3
Find the third derivative of -3036*s**2 + 47428*s**3 + 446*s**4 - 47429*s**3 + 238*s**4 wrt s.
16416*s - 6
Let i(b) be the second derivative of -45*b**2 - 90*b + 0*b**3 + 0 + 1/12*b**4. What is the derivative of i(x) wrt x?
2*x
Let v(x) = 103*x**4 + 6*x**3 + 9*x**2 - 3645. Let f(u) = 310*u**4 + 20*u**3 + 29*u**2 - 10933. Let r(s) = -3*f(s) + 10*v(s). Differentiate r(k) wrt k.
400*k**3 + 6*k
Let o be (-8)/14 + (26752/112)/19. Let q(u) = u**2 - u - 3. Let r be q(-3). Differenti | {
"pile_set_name": "DM Mathematics"
} |
- f for l.
0
Let m be 16/6*39/26. Solve -2*x = 3*s + 1 + m, 5*x + 4*s = 5 for x.
5
Let t(n) = -n**3 - 3*n**2 + 4*n - 1. Let m be t(-4). Let s(j) = j. Let k be s(1). Let o be 2 - k*(1 + m). Solve o*y - 2*r = -0*y - 14, 2*r = -5*y - 21 for y.
-5
Let a = 47 + -18. Let p = -29 + a. Solve p*m + m + 1 = -2*g, 7 = -2*g + m for g.
-2
Let o(r) = -4*r**3 - 2*r**2 + r. Let p(n) = -4*n**3 - 2*n**2 + n. Let g(x) = -5*o(x) + 4*p(x). Let k be g(1). Solve 4*s - v - 25 = -0*v, k = -s - 2*v for s.
5
Let v be ((-10)/(-6))/((-5)/(-15)). Suppose 0 = -c - 3 + v. Suppose -c*a + 4*a = 90. Solve -4*x + 2*w = 30, 4*x + a = -x + 4*w for x.
-5
Let l = 38 + -25. Suppose 2*r + 1 = 5. Let u = l - r. Solve s + 4*y + u = 0, -4*s + y + 2 = 12 for s.
-3
Let a be (-10)/14 - 6/21. Let p be (-4)/4 + (-9)/a. Let b be (-1 - -4 - -6) + -3. Solve l - g = 7, 2*g - p = b*g for l.
5
Suppose -3*a + 2 = -7. Solve -2*w + 2 = 5*x, -5*x + 0*w = -a*w - 22 for x.
2
Suppose -3*f + 24 = -f. Let r = -7 + f. Solve -2*y + 0*t - 16 = 4*t, 0 = -4*y + r*t + 33 for y.
2
Let b(s) = -s**2 - 7. Let l be b(0). Let p be l*(-2 + (-11)/(-7)). Solve -p*t = 3*o + 2*t - 1, -4*o + 5 = 3*t for o.
2
Suppose -7*m = -5*m - 4. Suppose -4*w + 6 = -2. Solve m*q + 4*p = 0, q + w*p = p for q.
0
Let u = -128 - -131. Solve -u*n - 3*y = -24, 0*n - 2*y + 13 = n for n.
3
Let q = 11 + -1. Suppose 2 = 3*d - q. Let u(w) = w + 6. Let r be u(0). Solve 2*n = -2*f - r - 4, d*f + 16 = 0 for n.
-1
Let z be (12/(-10))/(1/(-5)). Let t be (4/z)/((-2)/(-15)). Let b = 6 - 3. Solve -3*g = -b, 2*s - g + t = -2*s for s.
-1
Let z be 1*(2 + 2 + -2). Suppose 8 = -z*h, 5*h + 10 = -4*l + 2*l. Suppose -16 = r - l*r. Solve 0 = -5*q + r*n - 9, 5*q - 2 = -4*n - 3 for q.
-1
Suppose y + 120 = 5*z, 4*y = 4*z + 3*y - 95. Solve 3*h + p + p + z = 0, p + 20 = -3*h for h.
-5
Let g = 15 + -23. Let r be -3*-1*g/(-6). Solve -5*h - r*f + 17 = 0, 3*h - 5*f - 4 + 16 = 0 for h.
1
Let d be 175 - ((0 - 0) + 0). Suppose 0 = 5*x - y - 175, 5*x + 0*y = 2*y + d. Solve -2*q - 20 = 2*a, -a - 4*q - x = 2*a for a.
-5
Suppose 0 = 6*g - 3*g - 9. Solve d = h - 1, g*h - 7 = d + 4 for h.
5
Suppose 2*h - 55 = 7*h. Let q = -9 - h. Solve -2 = -q*w - 4*x - 20, 4*w - 4*x - 12 = 0 for w.
-1
Suppose 8 + 22 = 5*k. Suppose 2*l + 2*l - 2*b + 22 = 0, 0 = 4*l + b + 7. Let r = k + l. Solve -13 = -r*t - 5*c, c = 5*t + 5*c for t.
-4
Let b be 19/((4 + -1)/3). Solve 2*u = -2*w + 3*u + 9, 3*u + b = 4*w for w.
4
Let q(r) = -r**2 + 3*r. Let w be q(2). Solve 0 = 2*a + k + 10, -5*a = w*k - 4 + 28 for a.
-4
Suppose 5*v + s - 30 = -3*s, -v + s = -6. Let l be 1/2 - 2/4. Solve l = 4*p + o - v, 3*o = -p + 3*p + 4 for p.
1
Suppose -6*r = -3*r - 30. Suppose -19 - 14 = -4*b - 5*c, -r = -2*c. Solve 5*i = 17 - b, -4 = h - i for h.
-1
Let u(j) be the third derivative of j**6/120 - 3*j**5/20 + 5*j**4/12 - j**3/6 + 2*j**2. Let p be u(8). Solve 3*l + 3*n = p, 4*n - 22 + 2 = 3*l for l.
0
Suppose 0 = 2*w - 5*w + 21. Suppose 3 = 4*l + w. Let n be 0 + l/((-1)/3). Solve n*a = 3*c + 1 - 4, -3*a - 4*c - 24 = 0 for a.
-4
Let l = 55 + -51. Let o(w) = -w. Let k be o(0). Let g = 0 - k. Solve -4*y - 2*c + 16 = 0, 3*c - 18 = -l*y - g*c for y.
3
Let m = -16 + 20. Solve 0 = 5*t + m*c + 16, -t = -4*t + 3*c - 15 for t.
-4
Suppose -5*d + 20 = -15. Suppose -4*o - d = 1, 5*o = 5*f - 15. Let r be (-1)/2*(f - 51). Solve 4*l + r = 5*g, 4*l + 15 = 4*g - g for g.
5
Let k(r) = 3*r - 12. Let y be k(6). Solve -5*t = y*h - 3*h + 25, -h - 13 = 4*t for t.
-2
Let u(n) = 1. Let w(l) = l - 8. Let y(c) = 2*u(c) - w(c). Let t be y(8). Let h be 85/15 + t/(-3). Solve 4*r = 3*z - 5, 3*r = 5*z + h*r + 9 for z.
-1
Let w(o) = o**3 + 7*o**2 - 8*o + 6. Let c be w(-8). Let x be 2 - (c/2 - 1). Solve 3*g = -5*v + 21, x*g + 2*g = -4*v + 16 for v.
3
Suppose -5*t + t + o = -13, 4*t = 2*o + 10. Suppose 3*p - t = 2*p. Solve -5*q = -3*z - 25, 3*z - 26 = -p*q - 6 for q.
5
Let p(o) = 2*o + 4. Let c(m) = -m - 5. Let y(w) = -3*c(w) - 4*p(w). Let q be y(-1). Solve -3*b - g - 7 = -2, q = -b + 2*g for b.
-2
Let s(p) = 0*p - 3*p**2 + p**3 + 8 - p - 3*p**2. Let l be (18/(-10))/(6/(-20)). Let j be s(l). Solve -5*f + 4 = -2*b - 1, 2 = j*f for b.
0
Let j(g) = g**2 - g - 2. Let u be j(-2). Solve -4*z + 12 = -4*c, u*z + 0*c - 2 = -c for z.
1
Let o = -7 - -10. Suppose d = o*d. Solve 3*g - 4*k - 15 = d, 5*g + k - 2*k - 8 = 0 for g.
1
Suppose -11 = j - 26. Solve 0 = -c + 4*r + 5, 5*c - 3*r - j = 2*c for c.
5
Let t be 2/4 + 21/(-6). Let k = t + 5. Suppose -k*n - 20 = -4*n. Solve -5*x + m + n = 5*m, -4*x + 8 = -2*m for x.
2
Suppose 0 = -3*b - 17 - 4. Let v(d) = d**2 + 7*d + 2. Let z be v(b). Solve 4*q - 4 = 4*a, -5*q + z*a + 4 = -4 for q.
2
Suppose -5*o = -2*x - 61, 4*o - 2*x = -0*x + 50. Let a = o + -7. Suppose 3*y + a = 5*y. Solve 18 = 2*g - 2*j, g + y*j + 7 - 1 = 0 for g.
4
Let b be (-1 - 3)/(2 + -6 + 2). Solve b = n + 3*u - 9, 0 = n - 5*u + 29 for n.
-4
Let n = -37 - -15. Let t = 24 + n. Solve 4*a = -z + 7, 2*z + t*a + 7 = 5*z for z.
3
Let w(j) = j - 2. Let u be w(-6). Let z be (-2 - u)*(-2)/(-6). Let x be (-3)/(((-3)/4)/3). Solve k + 4 - x = -v, -z*k - 4*v + 26 = 0 for k.
3
Suppose -4*m - 60 = -9*m. Let l be m - (1 + -4)/1. Solve 4*i + 3*v = -i + 5, l = 5*i + v for i.
4
Let p = -7 - 1. Let s(b) = b**3 + 7*b**2 - 9*b - 8. Let x be s(p). Solve -5*r - 2 = 3*v + 9, 2*r + 4*v - 4 = x for r.
-4
Suppose 0 = -0*p + 2*p - 6. Suppose -y + 8 = p*y. Let o(s) = -s + 8. Let g be o(6). Solve 3*a + 9 = -r, -4*r = -y*a + 6 + g for a.
-2
Suppose -5*v - 4*n = -1349, 2*n + 61 + 1039 = 4*v. Let u be v/6 + 1/2. Solve 4*r + 2*k + 12 = 0, -u = 4*r - 3*k - 14 for r.
-5
Let i = -4 + 31. Let h(b) = -b**2 + 9*b + 5. Let a be h(9). Suppose 3*n - 2*n - 10 = 5*z, 10 = -3*n - a*z. Solve 5*y + r + 1 = n, -8 = -3*y + 4*r - i for y.
-1
Suppose -2*p = -p + 1. Let k be (2 + 1*-2)/2. Let y be 0 - 2*p - k. Solve -2*q + 11 = 4*a - a, 0 = -a - y*q + 9 for a.
1
Suppose -5*s + r + 2 + 20 = 0, 0 = -4*s + 3*r + 11. Suppose -s = -k - 4. Solve a + 2*d = d - k, 3*d = 0 for a.
-1
Suppose -f = -4*f - 6. Let a be 4 - ((2 - 0) + f). Solve 2*z + 0*i + a*i + 8 = 0, 0 = -i - 1 for z.
-2
Let v(l) = -l**3 - 4*l**2 + 4*l. Let f be v(-5). Solve 2*d + 3*c - 22 = -3*d, -3*d - 14 = -f*c for d.
2
Let z be ((-2)/4)/((-1)/(-6)). Let o be -2 + (z/1 - -5). Solve 0 = q + 2*q - 6, o = -3*s - 5*q + 4 for s.
-2
Suppose -49 = -5*z + 4*l, 0 = l - 1 - 3. Suppose -5*h = -z + 3. Solve h*d - 14 = 3*j, -2*d - 3*j - 10 = -0*j for d.
1
Let f = 12 + -26. Let k = f - -19. Suppose 0 + 1 = -r, 5*m + 3*r - 17 = 0. Solve -m*j = -k*n - 18 + 6, -2*n = -5*j + 15 for n.
0
Let m(o) = o**3 + 8*o**2 - 9*o. Let a be m(-9). Let r be 0 + a + 1 + -51. Let l = r + 85. Solve 5*i + 3*u + 2*u = l, 10 = -5*i + 4*u for i.
2
Let b be ((-10)/(-6))/((-2)/6). Let i(r) = -5 + 0 + 7*r**2 + 12*r**2 - 18*r**2 + 4*r. Let j be i(b). Solve j*n + 5*n - 4*z = -24, 0 = -5*n + z - 21 for n.
-4
Let m(z) = z**2 + 13*z - 9. Let p be m(-14). Suppose -6*o + o + 20 = 0. Solve -w - c = -2, -o*w - p*c + 4 = -w for w.
3
Let y(g) = g**2 - g - 1. Let n be y(0). Let q = 13 + n. Let a = q + -7. Solve 2*z = -i - 2*z - 15, 5*z + 30 = -a*i for i.
-3
Let u be 2 + (2 + 2)*(-6)/(-8). Solve 4*v - u*v + z = 0, -5*v - 2*z + 35 = 0 for v.
5
Let o(k) = -k + 2. Let s be o(-2). Let p(h) = h**3 - 11*h**2 + 6*h - 61. Let c be p(11). Solve 24 = d + c*i, 2*d - i + 3 = s*d for d.
-1
Let m(r) = -r**3 - 6*r**2 - 8*r - 2. Let j be m(-4). Let q be j/(-5) + 207/45. Solve -5*x - 35 = 4*t, -4*t - 4 = -q*x + 1 for t.
-5
Let v(r) = r**2 + 3*r + 3. Let x be v(-3). Suppose -x*u = -11 - 1. Solve 3*t - 4*g + 18 = 0, 2*g - 5*g = -u*t - 17 for t.
-2
Suppose 3*x + 23 = 2. Let z = 10 + x. Solve z*u - 9 = 0, 4*u - 6*u = -5*h - 16 for h.
-2
Suppose 18 = 4*t - 18. Let j = t + -9. Solve -q + j*q - 4*f = -14, -5*q - f = -13 for q.
2
Let k = -9 - -12. Solve 2*f + 10 = 0, -3*f - 31 = -k*h + 2*f for h.
2
Let j(n) = n**3 - 6*n + 3. Let u(i) = -i**2. Let o(a) = j(a) + 5*u(a). Let x be o(6). Solve m - 7 = -x*q, 2*m = -m - 4*q + 16 for m.
4
Let z be (-11)/9 - (-6)/27. Let h be (-2 - (z - -1)) + 2. Suppose -l + 8 + 0 = 0. Solve -3*y - 4*q = -y + l, -4*q = h for y.
-4
Let k(w) = w**2 - 4*w + 1. Suppose 4 + 4 = 2*p - s, 0 = -p - 4*s - 5. Suppose 0 = z - p*z + 8. Let c be k(z). Solve 2*x + g - 2 + 3 = 0, -g = -3*x + c for x.
0
Suppose 0 = -2*h + 12 - 6. Sol | {
"pile_set_name": "DM Mathematics"
} |
s positive.
l**(29681/44)
Simplify (((l**(-2/5))**36/((l*l*l**(-1/11)*l*l)/(l*l*l*l**(3/2)*l)))**(-2/95))**(2/117) assuming l is positive.
l**(2818/611325)
Simplify ((n/(n*n**(7/2))*n*n*n**(-15))/((n/(n**24/n))/(n**15/n)))**(1/36) assuming n is positive.
n**(13/24)
Simplify (p**(5/3)/((p*p/p**(-1/20))/p)*(p**(1/7))**(9/7))**(-21) assuming p is positive.
p**(-2353/140)
Simplify (h**(-2)*h/h**(-1/5)*h*h*h*h**2/h*h*h*h**(-4/3))/((h*((h/(h*h**5))/h)/h*(h/(h*h*h/h**(-1/2)))/h)/(h**(-2/7)*h**4*h*h)) assuming h is positive.
h**(4007/210)
Simplify (w**(-7)*w*(w**(-6)/w)/w*(w**(-1/4))**35)/(w**(1/6)/(w/(w**2/w)))**19 assuming w is positive.
w**(-311/12)
Simplify ((y/(y**(-2)/y)*(y/y**(2/7)*y)/y)/((y/y**(-2/21))/y**(-6)))/((y/y**(-2/23))/y**(-6)*y**5*y/(y**(-7/2)*y)) assuming y is positive.
y**(-17357/966)
Simplify ((u*u**9)/(u/(u*u/(u**(-1/7)*u))*u*u))**(-21/2)*(u**(-2/9)*u)**12/(u/(u/u**(-2/9)))**(-13) assuming u is positive.
u**(-1423/18)
Simplify (((c*c/c**(1/2)*c*c**4)/(c*(c*c**(-1)*c)/c*c*c*c*c**4*c))**(-14/3))**20 assuming c is positive.
c**(700/3)
Simplify ((t**(-9/13)*t*t**(-5/6))**(-29/3))**(9/7) assuming t is positive.
t**(1189/182)
Simplify ((z**(-1/3)/(z/(z/z**(8/3))))/(z**(-1)*z**(2/5)/z*z))**(-37) assuming z is positive.
z**(444/5)
Simplify (v**(-17/5)/((v/v**21)/v))/(v*v*(v*v**(-3)/v)/v)**1 assuming v is positive.
v**(98/5)
Simplify (a*a**38/a*a*a*a/(a/(a/(a*a**(-4/7)/a))))/((a**11/a)/(a**(-19)*a)) assuming a is positive.
a**(95/7)
Simplify ((z*z**(-3))/(z/z**(-9)*z*z)*(z**(5/2))**6)**9 assuming z is positive.
z**9
Simplify (((d/d**(-2/5))/(d**(-1/7)*d))/(d**(1/5)/(d/(d**(-1/4)/d)*d)))/((d**1/d)**(2/11)*(d/(((d*d**(-3/7)*d*d)/d*d)/d*d))/d*d*d**(-6)) assuming d is positive.
d**(1563/140)
Simplify (o**6*o*o**(-2/13))**(-2/25)/(o**(1/3)*(o**(-1/2)/o)/o)**(-24) assuming o is positive.
o**(-17078/325)
Simplify ((h/h**(-2/9))**(-21))**(-2/5)/((h/(h*(h/((h/h**(3/8))/h)*h)/h))/((h*h/(h**2/h))/h)*(h/(h/(h*h*h/h**(1/3)*h*h)))**(-1/2)) assuming h is positive.
h**(559/40)
Simplify (r/r**(-2/9)*(r*r/(r*r**(2/103)))/r)/(r**(2/17)*r)**(-11/2) assuming r is positive.
r**(231653/31518)
Simplify k/(k**(-6)/k)*k**(-2/21)*(k/k**(1/4))**(-13)*(k/(k*((k/(k*k*(k**(1/3)/k)/k*k*k*k*k))/k)/k*k))**(-15)*(k**(-2/5))**49 assuming k is positive.
k**(-36307/420)
Simplify (((n*n**(2/21))/n*n**14)/((n/n**12)/(n*n**10*n*n*n)))**(2/43) assuming n is positive.
n**(1642/903)
Simplify (((j*j**2*j*((j/(j**(2/5)*j))/j)/j*j)/(j**5/j**4))**32)**(-6/13) assuming j is positive.
j**(-1536/65)
Simplify ((u**(6/17)*u)/u)**(-10/9)*((u*u**7)/u)**(-18) assuming u is positive.
u**(-6446/51)
Simplify ((l**(-2/7))**(-35)/(l**(2/7))**(-4/17))/(((l*l*l/(l/l**(-3)))/l)/(l*l**(-2/3))*(l**(-6)/l)/(l/(l*l**(-3)))) assuming l is positive.
l**(7997/357)
Simplify ((i/i**0)**46*(i**1)**(5/14))/((i**(-1))**(-3/5))**25 assuming i is positive.
i**(439/14)
Simplify ((a*a**0)**(-10/13))**(-11/6)*(a*a**(2/21)*a*a**(-11)*a)**20 assuming a is positive.
a**(-42775/273)
Simplify ((j**(-1))**20/((j*j**(3/5))/j*j*(j/(j/((j**(-1)/j)/j)))/j))/(((j*j/j**6)/((j*j/(j**(1/6)*j))/j))/(j**(1/3)*j**(2/7))) assuming j is positive.
j**(-2761/210)
Simplify (((((x*x*(x/(x*x**(-6))*x)/x*x)/x)/x**(2/17))/(x*x**(-1/4)*x)**(-2/131))**(-10))**(-2/15) assuming x is positive.
x**(70454/6681)
Simplify ((y*y**(-7)*y)/y*y*y*(y**(-7)*y*y)/y*y**(-2/3)/(y*(y/y**(-4))/y))**(2/115) assuming y is positive.
y**(-94/345)
Simplify ((h**40/h)/(h/h**7))/(h**(-2/75)*h)**(2/19) assuming h is positive.
h**(63979/1425)
Simplify (y**(3/4)*y*y**(-4))**(-21)*(((y/(y/((y/(y*y**(-4)))/y)*y)*y*y*y*y)/y)/y*y)/(y/((y/y**1)/y))*((y/(y**(2/7)/y))/y)**8 assuming y is positive.
y**(1567/28)
Simplify ((n/(n*n/(n/((n*(n*n**(2/13))/n)/n*n*n))))**35/((n*n**(1/5))/((n/(n/n**(2/27)))/n*n*n)))**(24/7) assuming n is positive.
n**(-1060168/4095)
Simplify ((q*q*q**1)**(-4/5))**(-8/7)*(q**(-2/9)/(q/(q/(q/q**(1/3)))))/((q**4/q*q)/(q/(q*q*q*q*q*(q*q/(q*q**(6/5)))/q*q))) assuming q is positive.
q**(-1873/315)
Simplify ((w**(-2/9)/w**(-1/11))/((w**(-1/2)*w)/w)**(-3/23))/((w**(1/8)/(w*w**(2/5)*w))/(w/(w*w*(w**1*w*w*w*w)/w)*w)**27) assuming w is positive.
w**(-9647333/91080)
Simplify ((p**(-5)/p)/(p*p/(p*p**(-7))*p*p*p))**(-35)/(((p**(-2/9)/p)/p**1)/(p/p**3*p**(1/7))) assuming p is positive.
p**(37508/63)
Simplify ((i/i**1)/(i/((i/(i**30*i))/i)*i)*(i**(-9))**(-4/3))**(1/33) assuming i is positive.
i**(-7/11)
Simplify (j**(-46)*j**(-3/5)*j)/(j/j**(3/5)*j**(-10)*j) assuming j is positive.
j**(-37)
Simplify (((s**(-2/15)/s)**14/(s**13*(s/s**14)/s))**(-3/4))**(-47) assuming s is positive.
s**(-10481/20)
Simplify ((a/(a/a**2))**16*((a/(a*a**(3/7)/a))/a*a)**(2/43))**(-10/9) assuming a is positive.
a**(-96400/2709)
Simplify (f*f**21*f*f**15/f*f/f**11*f/(f*f**(3/2))*f)**(-4/3) assuming f is positive.
f**(-106/3)
Simplify (((j*j**(-1)/j)/j)/j**(-1))**(3/19)/((((j*j**(-3))/j)/(j/(j**(-1)*j)*j))/(j*j*j*j/((j**(1/2)/j)/j)*j)**(-13)) assuming j is positive.
j**(-3027/38)
Simplify ((((d*d/(d**5*d*d))/d)/d)/d**(-1/6))**46*d**(3/5)/(d*d**4)*(d/(d*((d/(d/d**2))/d)/d))/(d/(d/(d*d**(-1/5)*d)*d*d)) assuming d is positive.
d**(-4778/15)
Simplify l**(-1/4)*l/(l*l**4*l)*l*(l*l*l*l/l**(2/5))**(-5/13)*(l**(2/5)/(l*l/(l**(-2)*l)))/(l**0)**48 assuming l is positive.
l**(-2141/260)
Simplify ((c**7/(c/(c/c**(3/5)*c)))/(c/c**(6/7)*c**(-1/3)))/(c**(4/7)*c*c**(-7))**(14/3) assuming c is positive.
c**(3457/105)
Simplify ((u**(-3/2)/u)/u**(-3/5))**(7/5)/(u**(-1/2)*u*u**(-3/7)*u*u)**(-19/3) assuming u is positive.
u**(5491/525)
Simplify (((x*x/x**(-4)*(x*x*x/x**3*x)/x)**(1/25))**(-3/5))**17 assuming x is positive.
x**(-306/125)
Simplify (r**5/r**(-6)*(r*r**(-1/4)*r)/((r**(-2/3)/r)/r*r))/(r**(-1/8)/(r**(-3)*r))**4 assuming r is positive.
r**(83/12)
Simplify (s*s/((s*s*s**(1/36)/s)/s)*s*s*s**(-11/3))/(s**42/((s*s*s**(-33)*s*s)/s)) assuming s is positive.
s**(-2581/36)
Simplify (r**24/r**(-22))/((r**(3/17)*r)/r**14) assuming r is positive.
r**(1000/17)
Simplify ((m**0)**6/(m**(2/7))**(5/9))/((m**0)**(4/19)/(m**0*m**(-1/10)/m)) assuming m is positive.
m**(-793/630)
Simplify ((s**6*s)**(-1/71)/(s**1)**(-4/7))**34 assuming s is positive.
s**(7990/497)
Simplify ((v/((v/v**(-2/7))/v))/v)**(-3/7)/(v**(-4/3)/(v**6*v))*(v/(v*v/(v/((v*v**(2/7)*v)/v))))**(-34)*(v*v/(v/v**1))**(-2/11) assuming v is positive.
v**(83771/1617)
Simplify ((g*g**1*g)**(-22))**43*(g**(-1))**(-20)*g**(-4/7)/g**(-4) assuming g is positive.
g**(-19702/7)
Simplify ((q/((q**3/q)/q))**(-38))**(-22)/(q**8*q/((q/(q*q**(-3/8)))/q)*(q*q*q**(-3))/(q**(4/5)/q)) assuming q is positive.
q**(-353/40)
Simplify (((o/o**(-33))/(o*o**(-5/13)))/(o**18)**(-47))**(-7) assuming o is positive.
o**(-80024/13)
Simplify ((k**(2/5))**47/(k/k**(2/5))**(8/7))/(k**(-4)/(k**(-3)*k))**(-6/5) assuming k is positive.
k**(110/7)
Simplify (n**(2/29)/(n**(-38)*n))/(n**(2/49))**(-10/9) assuming n is positive.
n**(474655/12789)
Simplify (a/(a*a/(a*a**1)))/(a/(a**(-2/13)*a))*(a/a**3)/(a**(2/3)*a)*((a**8/a)/(a*a*a/a**0))/(a**2*a*a*a**(-7)*a) assuming a is positive.
a**(124/39)
Simplify (n/(n**(-7/6)/n)*n*n*((n*n*n**(2/21))/n)/n*n*(n**(-17)/n)/(n/(n/(n*n**1*n))))**(-26) assuming n is positive.
n**(8047/21)
Simplify (((r**(-11)/r)/r*(r/(r**(-18)/r))/r)/(r**(-2/3))**21)**(-3/10) assuming r is positive.
r**(-6)
Simplify (q*q*q**(-1/5)/q*q*q*q*q**(1/7)/q)**21*((q*q/q**6)/((q/(q**(-5)*q))/q))**(-6/7) assuming q is positive.
q**(2403/35)
Simplify ((w/(w**(2/7)/w)*w*w)**(-41))**(-42)*((w**1)**(-17))**(18/7) assuming w is positive.
w**(44466/7)
Simplify ((t*t/t**(-1))/t*t*t**(1/2)*t)**(-18)*(t/(t**(-7)/t*t)*t*t)/(t/(t**(2/15)*t))*t*(t/(t*t**0))/t*t*t**(-3) assuming t is positive.
t**(-1093/15)
Simplify (p**(-15/2))**(-1)/(p**(-8)/p*(p**(-14)/p*p)/p) assuming p is positive.
p**(63/2)
Simplify n**(-14/5)*(n/n**21)/n*(n**(-19/5)*n)/(n/(n*n**(-28)/n)) assuming n is positive.
n**(-278/5)
Simplify ((((n/(n**5/n*n))/((n/(n**(4/5)/n)*n*n)/n))/(n**(-2/7))**(9/2))**(14/3))**(-17) assuming n is positive.
n**(5848/15)
Simplify ((s**(-2/3)/s*s)**(-6)*(s*s**(-1))/s*s/(s*(((s*s*s**(-3/10))/s*s)/s)/s*s))/(s**(-2/3)*s*s**(-6)/s*s**(-4)/(s**3/s)) assuming s is positive.
s**(449/30)
Simplify ((x*x**(-26)*x/(x**20/x))/(x*x**(-1/3))**(-13))**(-19) assuming x is positive.
x**(1957/3)
Simplify ((d/(d**(-1/3)*d))**(- | {
"pile_set_name": "DM Mathematics"
} |
ithout replacement from yptzqky. What is prob of sequence qpyk?
1/420
What is prob of sequence nnn when three letters picked without replacement from {n: 3, e: 1}?
1/4
Four letters picked without replacement from eezezvhezezeh. What is prob of sequence vhzh?
1/2145
Calculate prob of sequence ai when two letters picked without replacement from iaiia.
3/10
Calculate prob of sequence mzm when three letters picked without replacement from {z: 3, m: 11}.
55/364
Calculate prob of sequence grd when three letters picked without replacement from {d: 1, u: 2, z: 3, g: 1, r: 12}.
2/969
Calculate prob of sequence iqq when three letters picked without replacement from {l: 3, i: 3, q: 5}.
2/33
Calculate prob of sequence jraz when four letters picked without replacement from kjkrazyay.
1/1512
Calculate prob of sequence aa when two letters picked without replacement from {a: 5, k: 2}.
10/21
What is prob of sequence rrrr when four letters picked without replacement from {j: 4, r: 14}?
1001/3060
What is prob of sequence sq when two letters picked without replacement from {q: 7, o: 9, s: 3}?
7/114
Three letters picked without replacement from {k: 5, a: 2, f: 1, e: 4, d: 2}. Give prob of sequence fee.
1/182
Four letters picked without replacement from ogogogor. Give prob of sequence ooro.
1/70
Calculate prob of sequence xaa when three letters picked without replacement from {k: 1, x: 1, a: 2}.
1/12
What is prob of sequence ddu when three letters picked without replacement from {u: 4, d: 3, z: 3, k: 1, b: 1, e: 6}?
1/204
Two letters picked without replacement from zkmmkmmmmzmmmkjmjzmm. What is prob of sequence jj?
1/190
Three letters picked without replacement from {x: 1, b: 2, g: 9, k: 1}. What is prob of sequence xbb?
1/858
Calculate prob of sequence qll when three letters picked without replacement from qqqqqlqqqlqqll.
5/91
Calculate prob of sequence pzfp when four letters picked without replacement from zpzfpf.
1/45
What is prob of sequence dsr when three letters picked without replacement from lrytdds?
1/105
Calculate prob of sequence fll when three letters picked without replacement from fll.
1/3
Two letters picked without replacement from hnvehpnlv. What is prob of sequence le?
1/72
Calculate prob of sequence heb when three letters picked without replacement from {b: 1, n: 1, h: 1, d: 1, e: 1, y: 2}.
1/210
Two letters picked without replacement from {t: 2, j: 1}. Give prob of sequence jt.
1/3
Calculate prob of sequence vii when three letters picked without replacement from ivivviiviviiiivivvv.
45/323
Four letters picked without replacement from {q: 1, x: 3}. Give prob of sequence xqqx.
0
Three letters picked without replacement from ptpttppp. What is prob of sequence ttt?
1/56
What is prob of sequence uc when two letters picked without replacement from {h: 2, c: 1, w: 2, r: 2, u: 1}?
1/56
Two letters picked without replacement from jaqlyloljyqj. Give prob of sequence qo.
1/66
Calculate prob of sequence dzdd when four letters picked without replacement from zzddzzzddz.
1/35
What is prob of sequence joko when four letters picked without replacement from zzjfjzojzccojzfkzc?
1/9180
Three letters picked without replacement from vzvzkckkzzzkzkzkkkzk. Give prob of sequence kkz.
8/95
Calculate prob of sequence ejjj when four letters picked without replacement from kekkekjejeejkkjk.
1/364
What is prob of sequence iioi when four letters picked without replacement from {p: 2, i: 6, o: 2, k: 3}?
2/143
Four letters picked without replacement from awifawcaefiwieeai. What is prob of sequence wcaf?
1/2380
Three letters picked without replacement from {h: 3, e: 8}. What is prob of sequence hee?
28/165
Two letters picked without replacement from {s: 2, i: 1, r: 1}. What is prob of sequence sr?
1/6
What is prob of sequence hu when two letters picked without replacement from {u: 6, h: 7}?
7/26
Three letters picked without replacement from {v: 5, r: 5}. Give prob of sequence vvv.
1/12
Four letters picked without replacement from hawhghhgkhhhtghwhhk. Give prob of sequence agwh.
5/7752
Calculate prob of sequence irj when three letters picked without replacement from {j: 1, r: 2, i: 2, w: 1}.
1/30
What is prob of sequence mmgm when four letters picked without replacement from {m: 10, g: 2, v: 4}?
3/91
Four letters picked without replacement from wwssbwbwbbbbwbwwsb. What is prob of sequence wsss?
7/12240
What is prob of sequence baq when three letters picked without replacement from {k: 1, q: 1, a: 2, b: 1}?
1/30
Calculate prob of sequence yyyy when four letters picked without replacement from {y: 9}.
1
Calculate prob of sequence hb when two letters picked without replacement from {t: 1, h: 4, l: 4, b: 1, r: 2, g: 3}.
2/105
What is prob of sequence ww when two letters picked without replacement from wwxxxxxxwwtytxxtxwy?
10/171
What is prob of sequence vcc when three letters picked without replacement from {c: 10, v: 10}?
5/38
Calculate prob of sequence ttt when three letters picked without replacement from {k: 3, t: 4, x: 5, q: 1}.
2/143
What is prob of sequence mm when two letters picked without replacement from smkkskskmkmss?
1/26
What is prob of sequence uv when two letters picked without replacement from ususaduavdazsuv?
4/105
What is prob of sequence wwgq when four letters picked without replacement from {q: 1, w: 2, g: 3, b: 6}?
1/1980
What is prob of sequence ly when two letters picked without replacement from {v: 3, l: 4, u: 6, h: 1, y: 1}?
2/105
Two letters picked without replacement from {m: 2, u: 1, g: 1, w: 1, q: 1, r: 1}. What is prob of sequence gm?
1/21
Three letters picked without replacement from {q: 5}. What is prob of sequence qqq?
1
Two letters picked without replacement from {f: 1, s: 1, n: 1, w: 2}. What is prob of sequence ws?
1/10
Two letters picked without replacement from {d: 3, f: 8}. Give prob of sequence dd.
3/55
Three letters picked without replacement from fqkfpfpqfqfffkk. Give prob of sequence qqf.
1/65
Three letters picked without replacement from {p: 3, z: 2, c: 7, y: 5}. What is prob of sequence cpy?
7/272
Three letters picked without replacement from vvvbbvb. Give prob of sequence bvb.
4/35
Calculate prob of sequence ddd when three letters picked without replacement from {d: 3, a: 4, v: 1}.
1/56
Four letters picked without replacement from {c: 1, b: 1, w: 1, o: 6}. What is prob of sequence boco?
5/504
Three letters picked without replacement from lusueuevuuuvvu. What is prob of sequence esu?
1/156
Calculate prob of sequence lttt when four letters picked without replacement from {t: 7, l: 9}.
9/208
Three letters picked without replacement from llzr. Give prob of sequence rzl.
1/12
Four letters picked without replacement from xghzgxqxzxgkxgxxk. Give prob of sequence kxqg.
1/1020
Two letters picked without replacement from {h: 1, o: 1, a: 4, y: 1, n: 1}. What is prob of sequence ah?
1/14
Calculate prob of sequence mgg when three letters picked without replacement from gmmmmgmmgmgmg.
40/429
What is prob of sequence bbbv when four letters picked without replacement from {b: 7, v: 7}?
35/572
What is prob of sequence jy when two letters picked without replacement from {e: 1, y: 1, j: 1}?
1/6
Two letters picked without replacement from kkkquoooooxkkkk. What is prob of sequence kk?
1/5
Two letters picked without replacement from zlww. What is prob of sequence lw?
1/6
What is prob of sequence fffj when four letters picked without replacement from {f: 3, j: 1}?
1/4
Four letters picked without replacement from dpewpov. What is prob of sequence evdw?
1/840
Calculate prob of sequence djj when three letters picked without replacement from zdjjz.
1/30
Four letters picked without replacement from bbzzz. What is prob of sequence zbzz?
1/10
Three letters picked without replacement from {e: 7, n: 4, x: 2, g: 4, j: 1}. What is prob of sequence gnn?
1/102
What is prob of sequence lrn when three letters picked without replacement from {n: 3, r: 4, l: 4}?
8/165
Four letters picked without replacement from {c: 12, y: 3}. Give prob of sequence yycy.
1/455
Calculate prob of sequence mg when two letters picked without replacement from ggumggu.
2/21
Two letters picked without replacement from {i: 1, k: 1, t: 1}. Give prob of sequence ik.
1/6
Two letters picked without r | {
"pile_set_name": "DM Mathematics"
} |
4
What is the y'th term of -17, 40, 195, 496, 991, 1728, 2755?
8*y**3 + y**2 - 2*y - 24
What is the f'th term of -147, -295, -443, -591, -739, -887?
-148*f + 1
What is the c'th term of 8785, 8787, 8789, 8791, 8793, 8795?
2*c + 8783
What is the u'th term of -12, -6, 0?
6*u - 18
What is the p'th term of 254, 509, 764, 1019?
255*p - 1
What is the k'th term of -8, -19, -36, -59, -88, -123?
-3*k**2 - 2*k - 3
What is the f'th term of 202, 403, 604, 805, 1006?
201*f + 1
What is the m'th term of -292, -304, -316?
-12*m - 280
What is the c'th term of 16, 14, 2, -26, -76, -154, -266?
-c**3 + c**2 + 2*c + 14
What is the o'th term of 36, 69, 102, 135?
33*o + 3
What is the p'th term of 1624, 1626, 1628?
2*p + 1622
What is the m'th term of 27, 73, 121, 171, 223, 277, 333?
m**2 + 43*m - 17
What is the i'th term of 156, 158, 160, 162, 164?
2*i + 154
What is the g'th term of 520, 2015, 4506, 7993, 12476, 17955, 24430?
498*g**2 + g + 21
What is the d'th term of -136, -266, -384, -484, -560, -606?
d**3 - 137*d
What is the a'th term of -69, -165, -261, -357, -453, -549?
-96*a + 27
What is the p'th term of 12, 15, 14, 9, 0?
-2*p**2 + 9*p + 5
What is the x'th term of -93, -359, -627, -897?
-x**2 - 263*x + 171
What is the o'th term of 226, 229, 232, 235?
3*o + 223
What is the h'th term of 41585, 41581, 41575, 41567?
-h**2 - h + 41587
What is the r'th term of 4, 25, 60, 115, 196, 309?
r**3 + r**2 + 11*r - 9
What is the r'th term of 13, 14, 7, -14, -55, -122?
-r**3 + 2*r**2 + 2*r + 10
What is the x'th term of 69, 79, 95, 117, 145?
3*x**2 + x + 65
What is the j'th term of -268, -537, -806?
-269*j + 1
What is the y'th term of -2723, -5430, -8137, -10844, -13551, -16258?
-2707*y - 16
What is the o'th term of 48, 60, 72?
12*o + 36
What is the x'th term of -2, 0, 2, 4?
2*x - 4
What is the c'th term of 716, 711, 696, 665, 612, 531, 416?
-c**3 + c**2 - c + 717
What is the r'th term of 44, 68, 92, 116?
24*r + 20
What is the j'th term of -22, -16, -6, 8, 26?
2*j**2 - 24
What is the b'th term of 385, 742, 1099, 1456, 1813, 2170?
357*b + 28
What is the o'th term of 181, 358, 535, 712, 889?
177*o + 4
What is the a'th term of -74, -81, -98, -131, -186, -269, -386?
-a**3 + a**2 - 3*a - 71
What is the o'th term of -254, -255, -256, -257?
-o - 253
What is the u'th term of -36, -111, -198, -303, -432, -591?
-u**3 - 68*u + 33
What is the o'th term of 341, 340, 337, 332, 325, 316, 305?
-o**2 + 2*o + 340
What is the l'th term of 13, 88, 285, 664, 1285, 2208, 3493?
10*l**3 + l**2 + 2*l
What is the w'th term of 6, 52, 170, 396, 766, 1316?
6*w**3 + 4*w - 4
What is the y'th term of 308, 328, 344, 356, 364?
-2*y**2 + 26*y + 284
What is the s'th term of -1431, -1433, -1435, -1437, -1439, -1441?
-2*s - 1429
What is the c'th term of -137, -142, -147, -152, -157?
-5*c - 132
What is the o'th term of 71, 143, 215, 287?
72*o - 1
What is the r'th term of -22, -33, -52, -79, -114?
-4*r**2 + r - 19
What is the n'th term of -87, -264, -549, -936, -1419?
n**3 - 60*n**2 - 4*n - 24
What is the l'th term of 1781, 3563, 5345, 7127, 8909, 10691?
1782*l - 1
What is the s'th term of 3423, 6844, 10265?
3421*s + 2
What is the r'th term of 113, 121, 151, 215, 325, 493, 731, 1051?
2*r**3 - r**2 - 3*r + 115
What is the x'th term of -12280, -12275, -12268, -12259, -12248, -12235, -12220?
x**2 + 2*x - 12283
What is the z'th term of -11, 25, 123, 313, 625, 1089, 1735, 2593?
5*z**3 + z**2 - 2*z - 15
What is the w'th term of -3042, -3044, -3046, -3048, -3050, -3052?
-2*w - 3040
What is the q'th term of -63, -130, -197, -264?
-67*q + 4
What is the f'th term of -8, 44, 170, 400, 764, 1292, 2014, 2960?
5*f**3 + 7*f**2 - 4*f - 16
What is the o'th term of 18, 6, -10, -30, -54, -82, -114?
-2*o**2 - 6*o + 26
What is the t'th term of -86, -103, -132, -173, -226, -291, -368?
-6*t**2 + t - 81
What is the x'th term of 24, 29, 32, 33?
-x**2 + 8*x + 17
What is the r'th term of 44, 70, 82, 74, 40, -26, -130, -278?
-r**3 - r**2 + 36*r + 10
What is the l'th term of 972, 971, 970, 969, 968?
-l + 973
What is the x'th term of -1, -17, -57, -133, -257, -441?
-2*x**3 - 2*x + 3
What is the n'th term of 25, 15, -1, -23, -51?
-3*n**2 - n + 29
What is the s'th term of -305, -299, -291, -281, -269, -255?
s**2 + 3*s - 309
What is the p'th term of -64, -102, -116, -106, -72, -14, 68?
12*p**2 - 74*p - 2
What is the g'th term of 26, 29, 32, 35, 38?
3*g + 23
What is the y'th term of -229, -425, -621, -817, -1013, -1209?
-196*y - 33
What is the b'th term of 12, 25, 38, 45, 40, 17, -30?
-b**3 + 6*b**2 + 2*b + 5
What is the w'th term of -38, -67, -114, -179, -262, -363?
-9*w**2 - 2*w - 27
What is the z'th term of -6430, -12864, -19298, -25732, -32166?
-6434*z + 4
What is the k'th term of -158, -303, -446, -587, -726, -863?
k**2 - 148*k - 11
What is the r'th term of -56, -15, 12, 19, 0, -51, -140, -273?
-r**3 - r**2 + 51*r - 105
What is the l'th term of -977, -1948, -2919, -3890, -4861?
-971*l - 6
What is the d'th term of -10, -69, -224, -523, -1014, -1745, -2764?
-8*d**3 - 3*d + 1
What is the a'th term of 1960, 7836, 17628, 31336, 48960, 70500?
1958*a**2 + 2*a
What is the r'th term of -201, -405, -615, -831, -1053, -1281, -1515?
-3*r**2 - 195*r - 3
What is the h'th term of -169, -1392, -4713, -11182, -21849, -37764, -59977, -89538?
-175*h**3 + h**2 - h + 6
What is the u'th term of -16033, -16032, -16031, -16030?
u - 16034
What is the g'th term of -360, -600, -854, -1128, -1428, -1760?
-g**3 - g**2 - 230*g - 128
What is the l'th term of -10, -34, -76, -136?
-9*l**2 + 3*l - 4
What is the y'th term of -103, -212, -319, -424, -527, -628?
y**2 - 112*y + 8
What is the h'th term of -2038, -2041, -2044, -2047, -2050, -2053?
-3*h - 2035
What is the g'th term of 367, 373, 383, 397, 415, 437?
2*g**2 + 365
What is the w'th term of -13, -32, -87, -196, -377, -648, -1027, -1532?
-3*w**3 + 2*w - 12
What is the h'th term of 1602, 1602, 1592, 1566, 1518, 1442?
-h**3 + h**2 + 4*h + 1598
What is the c'th term of -31789, -31799, -31823, -31867, -31937?
-c**3 - c**2 - 31787
What is the y'th term of -159, -147, -119, -69, 9, 121?
y**3 + 2*y**2 - y - 161
What is the p'th term of -31, -39, -47, -55?
-8*p - 23
What is the l'th term of 37, 31, 21, 7, -11, -33?
-2*l**2 + 39
What is the c'th term of 6, 99, 366, 897, 1782?
15*c**3 - 3*c**2 - 3*c - 3
What is the k'th term of -526, -512, -494, -472, -446?
2*k**2 + 8*k - 536
What is the b'th term of 16, 15, 12, 7, 0, -9, -20?
-b**2 + 2*b + 15
What is the d'th term of -25, -52, -79?
-27*d + 2
What is the c'th term of -99, -130, -175, -228, -283, -334?
c**3 - 13*c**2 + c - 88
What is the m'th term of -13, 39, 125, 245, 399, 587, 809?
17*m**2 + m - 31
What is the s'th term of 594, 2317, 5182, 9183, 14314, 20569, 27942?
-s**3 + 577*s**2 - s + 19
What is the u'th term of 10, 11, 22, 49, 98, 175, 286?
u**3 - u**2 - 3*u + 13
What is the k'th term of 2143, 2148, 2153?
5*k + 2138
What is the c'th term of -122, -158, -194, -230, -266?
-36*c - 86
What is the k'th term of -39, -145, -253, -363, -475?
-k**2 - 103*k + 65
What is the j'th term of 24, 40, 58, 78, 100, 124?
j**2 + 13*j + 10
What is the k'th term of -676, -675, -662, -631, -576, -491, -370?
k**3 - 6*k - 671
What is the q'th term of -96, -76, -56, -36, -16, 4?
20*q - 116
What is the a'th term of -9, -7, -17, -51, -121, -239, -417?
-2*a**3 + 6*a**2 - 2*a - 11
What is the y'th term of 74, 76, 78, 80, 82, 84?
2*y + 72
What is the k'th term of -134, -190, -250, -314, -382, -454, -530?
-2*k**2 - 50*k - 82
What is the r'th term of -84, -102, -126, -156, -192, -234?
-3*r**2 - 9*r - 72
What is the w'th term of 55, 108, 161, 214?
53*w + 2
What is the y'th term of -16, -31, -44, -55, -64, -71, -76?
y**2 - 18*y + 1
What is the v'th term of -30, -155, -366, -663?
-43*v**2 + 4*v + 9
What is the w'th term of -60, -85, -122, -177, -256, -365, -510, -697?
-w**3 - 18*w - 41
What is the h'th term of 7, -1, -31, -95, -205?
-2*h**3 + h**2 + 3*h + 5
What is the v'th term of -1815, -1814, -1813, -1812?
v - 1816
What is the k'th term of 5, -23, -121, -325, -671, -1195?
-6*k**3 + k**2 + 11*k - 1
What is the s'th term of 34, 80, 144, 220, 302?
-s**3 + 15*s**2 + 8*s + 12
What is the a'th term of 4017, 8032, 12047, 16062?
4015*a + 2
What is the x'th term of -100, -147, -192, -235, -276, -315?
x**2 - 50*x - 5 | {
"pile_set_name": "DM Mathematics"
} |
(3/(-9)). Which is the closest to -1? (a) -0.4 (b) q (c) -1/6
b
Let l be 10/(-15)*(-1)/(-6). Which is the closest to 2/3? (a) 0.4 (b) -0.4 (c) l
a
Let y(c) = -c**2 + c + 28. Let r be y(6). What is the closest to 0 in r, 5/6, 0.1?
0.1
Let l = 1.935 + 0.065. Which is the nearest to l? (a) 5 (b) -0.2 (c) -1/2
b
Let w = 0 + 0.12. Let a = 0.02 - w. What is the nearest to a in -0.3, 2/11, -2?
-0.3
Let k(w) = -4*w**3 + w**2 - w + 1. Let f be k(1). Let t = -0.195 - -0.255. Which is the closest to 2/7? (a) 2/5 (b) t (c) f
a
Let j = -2 - 0.7. Let l = -3 - j. Let d = 338/249 + -2/83. Which is the closest to 1? (a) -3 (b) l (c) d
c
Let o = 1039/33 - 95/3. Let y = 0.403 - 0.003. Which is the nearest to 0? (a) o (b) -4/3 (c) y
a
Let t = 18 + -18. Which is the closest to -0.1? (a) t (b) 0.3 (c) -3
a
Let s be 2/4*(-6)/(-5). What is the nearest to 2/5 in -2, s, 1/4?
1/4
Let c = 0.013 - 0.013. What is the closest to c in -0.5, 4, -1/3?
-1/3
Let g = -71 + 72. Let r = 0.2 + -0.6. What is the closest to -2/5 in r, -1, g?
r
Let f = 0.9 - 1. Which is the nearest to f? (a) 2 (b) 0.3 (c) 0.2
c
Let y be (-2)/4 - (-2)/4. Suppose 3*q + 2*q + 100 = y. Let n = q - -61/3. What is the nearest to n in -0.2, 0.5, -5/6?
0.5
Let l = 23 - 163/7. Let k = 1.8 - 2. Let n = -6 + 4. What is the nearest to k in -5, l, n?
l
Let s = -0.07 - -0.1. Let k = -0.03 + s. What is the closest to k in 5, -4, 0.3?
0.3
Let s = 28.7 + -29. Let j be ((-1)/6)/((-2)/(-4)). Which is the nearest to j? (a) 5 (b) 4 (c) s
c
Let m = 4.8 - 5. Let v = 2.3 - 3.2. Let g = 1 + v. What is the closest to g in -1/3, -3, m?
m
Let o be ((-15)/(-6) - 2)*2. Suppose -3*d = o + 2. Let h = 211/3 - 71. What is the closest to -1 in h, d, -2/9?
d
Let l = 34 - 34.3. Let w = -0.5 + 0. Which is the closest to 3? (a) 1/3 (b) l (c) w
a
Suppose -9 = 3*p - 0. Let h be (56/(-6))/(2/p). Let u be ((-2)/h)/(2/(-4)). Which is the closest to -1/2? (a) u (b) -5 (c) 2/3
a
Let u = 83 + -83.1. Let p = 3.4 + 0.6. Which is the nearest to -1? (a) u (b) -3 (c) p
a
Let f be (-27)/(-63) + (-202)/406. What is the nearest to 1 in 1, f, -1/7?
1
Let z be (-6)/9 - (-3 - -3). Which is the closest to z? (a) 0 (b) 1.9 (c) 3
a
Let g = -2.4 + 20.4. Let l = 16 - g. What is the closest to -0.1 in 5, 2, l?
l
Let t = -123/4 - -30. What is the closest to -0.7 in t, 1, -4?
t
Let y = -12.6 + 13. What is the closest to 1 in 1/10, y, -0.1?
y
Let h = -47/333 - 3/37. Let z = -3/2 + -1. Which is the nearest to 1? (a) h (b) z (c) -2
a
Let j = -205/7 + 29. Let d = -3.1 - -3.6. Which is the nearest to j? (a) -0.5 (b) d (c) 2/15
a
Let i be (-26)/(-12) - (1 + 0). Let g = i + -1/2. Which is the nearest to g? (a) -0.04 (b) -1 (c) -3
a
Let m be (9 + 4 - 3)/2. Which is the closest to -5? (a) 1/2 (b) 4 (c) m
a
Let d = -0.7 + 0.8. Which is the nearest to 2/3? (a) 1/8 (b) d (c) 0
a
Let v be (-2)/(-12) + 4/(-24). Let w = -0.089 - 2.991. Let f = 0.08 + w. What is the closest to v in f, -1/3, 2/5?
-1/3
Let d = 34 + -14. Let u be (-12)/(-2)*(-2)/d. Suppose -3*k = -4 + 1. What is the nearest to k in -4, u, -0.1?
-0.1
Let d = -2.7 + -0.5. Let w = 0.3 + -3.3. Let p = w - d. Which is the closest to 1? (a) p (b) -0.2 (c) 3
a
Let s = 2 - 3. Let t be ((-168)/(-7))/((-6)/4). Let u = t + 15. What is the nearest to s in 2, -2, u?
u
Let x = -26 + 23. Let o be 4/x*13/(-26). What is the nearest to 1/2 in o, 5, 3?
o
Let s = 1.1 - 1. Let f = 320 - 180. Let x = f + -1542/11. Which is the closest to s? (a) -1/3 (b) 4 (c) x
c
Suppose -4*w = -5*q - w + 9, -2*w = -5*q + 11. Suppose q*x = x - 8. Which is the closest to -2? (a) x (b) -2 (c) 0.1
b
Let g = -14 - -12. Let t = 1.9 + g. What is the closest to -3 in 3, t, 4?
t
Let v = -3 + 2.7. Suppose -13*c + 16*c = -3. What is the closest to 1 in c, v, 2/13?
2/13
Let y = -365 - -364. Suppose -u + 3*u = -6. What is the nearest to 0 in y, 2/3, u?
2/3
Let x = -30 - -26.9. Let p = 0.1 + x. Which is the closest to 0.1? (a) -5 (b) p (c) 0.3
c
Let l be 16/264*3/(-1). Which is the nearest to 0.2? (a) 2 (b) l (c) -0.5
b
Let x = -3 + 2.7. Suppose -2*n + 15 = 3*h, -24 = -2*h - 3*h - 3*n. Let l be ((-9)/6)/(h/(-2)). What is the nearest to l in -0.2, 5, x?
-0.2
Let d = -0.05 + 0.35. What is the closest to 1/2 in -3, -0.5, d?
d
Let p be -2 + 3/(-1) - (-20 + 21). Which is the closest to p? (a) 5 (b) -1 (c) -3
c
Let d = -4.96 - 0.04. Let w = d - -4. Let p = 0.3 - 0.2. Which is the closest to p? (a) 0.3 (b) w (c) 3
a
Let q = -1.9 - 0.1. Let p = 4 + q. Let c = -22.7 - -21.7. What is the nearest to -1/3 in c, -0.4, p?
-0.4
Let j be (-2)/(2 - 3 - -3). Let p be (7 + -8)*j/(-4). What is the nearest to -1 in 1, -1, p?
-1
Let l = -30 - -149/5. Let b = -425/2 - -2973/14. What is the nearest to -1/3 in -2, b, l?
l
Suppose -2 - 8 = -2*h. Let r be h/(-10) + 22/28. Let y be 3/(-8)*2/3. What is the nearest to 0 in r, -2, y?
y
Let z = 13 + -13.02. Let c = -0.12 - z. Let x = 3.7 - 0.7. What is the nearest to c in -2, 1/2, x?
1/2
Let o(t) = -t**2 + 5*t - 5. Let q be o(5). Let w(m) = m + 6. Let i be w(q). Let z be (1/4)/(i/(-6)). Which is the closest to 2? (a) -1/4 (b) z (c) 1
c
Let v = 0.06 + -0.03. Let s = v - 0.13. What is the closest to s in 0.2, 3, 2?
0.2
Let s = 0.6 - -0.2. Let w = 1 - s. What is the closest to -1 in w, -1, 1?
-1
Let s = -20.1 - -20. Which is the closest to 0.1? (a) 2/9 (b) s (c) -4
a
Let b be 4/(-2) - 28/(-10). What is the nearest to -1 in 0, b, 0.2?
0
Let m = 4 + -1. Let n be -4 + 0 - 1755/(-455). What is the closest to -0.1 in n, m, -2?
n
Let h = 49 + -48.5. Suppose m + 2 = -2. Which is the nearest to m? (a) h (b) -1 (c) -5
c
Let h = -3.3 - -3.5. What is the closest to 0.1 in 1, 5, h?
h
Let m(v) = -3*v + 6. Let j be m(1). What is the nearest to 1 in 0.5, 2/67, j?
0.5
Let r = 46.1 + -42. Let v = 3.9 + 0.1. Let u = v - r. What is the nearest to u in 5, -3, -1/4?
-1/4
Suppose 18 + 7 = n - s, 3*n - 50 = -2*s. Let t be ((-2)/5)/((-32)/n). Let y = 1 - 0. Which is the nearest to -1? (a) -2/3 (b) y (c) t
a
Let v = -12 + 11.8. Which is the closest to -1? (a) 1/4 (b) -1/3 (c) v
b
Let g = 0.2 - -0.1. Let l = -4.2 - -4. Let q be (-144)/(-280) + (-8)/10. Which is the nearest to q? (a) 6/11 (b) l (c) g
b
Let i = 45 - 89/2. Let k = 1 + 5. Let j be 0 - (-1 + k/9). Which is the nearest to j? (a) i (b) -1/3 (c) 2/5
c
Let c = -0.4 - -0.1. Let s = c - 0.2. Let k = 21/11 + -95/44. What is the nearest to -1 in s, k, -0.4?
s
Let l = 2.038 - 0.038. Let f(w) = -w - 4. Let r be f(-3). Which is the nearest to -1? (a) r (b) l (c) 1/5
a
Let x = 19 - 20. What is the nearest to -1 in x, 1, 5?
x
Let i = -3/20 + -1/10. What is the closest to 1/2 in 3/4, i, 0.3?
0.3
Suppose -43 + 11 = 16*w. Which is the nearest to w? (a) -0.4 (b) -0.5 (c) -2/3
c
Let g = -1419/217 - -46/7. Let u = g + 29/62. What is the nearest to u in 0, 3, 5?
0
Let l = 21 - 17. Which is the nearest to -0.1? (a) -0.1 (b) -3 (c) l
a
Let o = -1.6 - -9.6. Let j = o + -6. What is the closest to 0 in j, -5, -1/4?
-1/4
Let a = 6 + -22. What is the closest to 0.1 in 4, a, 3/4?
3/4
Let h = 107 + -101.3. Let i = 6 - h. Let v = -16 + 11. Which is the nearest to -0.1? (a) 0.2 (b) i (c) v
a
Let w = 1.8 - 2. Let p = -26.9 + 27. Which is the nearest to p? (a) -4 (b) 0.1 (c) w
b
Let l = -3 - -2.7. Which is the closest to -1/2? (a) -5 (b) -1 (c) l
c
Let h = 0 - 0.2. Let i = -0.212 - 0.188. Which is the nearest to h? (a) i (b) 2/11 (c) -4
a
Let p = 0.06 + 0.04. Which is the nearest to 0.1? (a) p (b) -6 (c) 2/21
a
Suppose l = -4*l. Suppose k - 2*k + 1 = l. Let y be (-1)/((k*-3)/(-3)). Which is the nearest to 1? (a) y (b) -0.2 (c) 1
c
Let t = -0.004 + 0.004. What is the closest to 0 in 1, t, -2/5?
t
Let t = -0.12 - -0.02. Which is the nearest to 2? (a) 5 (b) t (c) -0.4
b
Let g = -2/49 + 116/441. Which is the closest to g? (a) 4 (b) 3 (c) 5
b
Let l be 3 + (-11)/(33/4). Which is the nearest to -1? (a) 2/17 (b) 1/4 (c) l
a
Let h(l) = -l**2 + 4*l + 3. Let c be h(5). Let b = 0.3 + -0.3. Let x = -0.1 + b. What is the nearest to x in -2/13, c, 0.1?
-2/13
Let k = 9 + -5. Which is the nearest to 1/2? (a) k (b) 1 (c) 0.2
c
Let s = -7.2 - -5. Let b = s - -2. Let i be ((-3)/16)/(2/4). What is the nearest to 1 in 2/7, b, i?
2/7
L | {
"pile_set_name": "DM Mathematics"
} |
5 - d = 0.
-1, 0, 1
Let i(a) be the first derivative of -47*a**3/3 - 46*a**2 + 4*a - 306. Determine t, given that i(t) = 0.
-2, 2/47
Solve -14/5*k**2 + 2/5*k**3 - 88/5*k + 0 = 0 for k.
-4, 0, 11
Factor -4/3*z**2 + 4*z + 40/3.
-4*(z - 5)*(z + 2)/3
Let d be (-39)/(-18) - (-106)/(-53). Factor -1/3*r + 1/6 + d*r**2.
(r - 1)**2/6
Let x(u) = u**3 + 14*u**2 - 2*u - 31. Let s be x(-14). Let p be s/(-132)*(8 + 0). Factor 4/11*v + p*v**2 + 0.
2*v*(v + 2)/11
Let j be ((-50)/8 + 4)/(-2 - 1). Factor -j*s**3 + 0*s**2 + 3/2*s**4 + 0 + 0*s - 3/4*s**5.
-3*s**3*(s - 1)**2/4
Let d = 1/12293 + 73751/86051. Factor 15/7*w**3 + 0 - d*w**2 + 0*w.
3*w**2*(5*w - 2)/7
Let 4*g**3 + 8/9*g**2 + 2/9*g**5 - 8/3 - 38/9*g + 16/9*g**4 = 0. Calculate g.
-4, -3, -1, 1
Find l such that 1/4*l**2 - 25/2*l + 49/4 = 0.
1, 49
Let m(d) be the second derivative of -d**7/14 - d**6/30 + 9*d**5/20 - d**4/4 - d**3/3 - 5*d + 7. Solve m(s) = 0 for s.
-2, -1/3, 0, 1
Determine v so that 40/3*v - 20/3 - 35/3*v**5 + 115/3*v**2 - 95/3*v**4 - 5/3*v**3 = 0.
-2, -1, 2/7, 1
Suppose 0 = 3*q - 5*l, 0*l = q + 4*l. Let t = 10 - 6. Factor 0*b + 0*b**t + 2/13*b**5 + q + 0*b**3 + 0*b**2.
2*b**5/13
Let y(g) = -99*g - 1778. Let n be y(-18). Factor 8/7*p**n + 10/7*p**3 + 0*p + 0 + 4/7*p**2 + 2/7*p**5.
2*p**2*(p + 1)**2*(p + 2)/7
Let x(b) be the third derivative of b**6/240 + b**5/48 - b**4/32 + 103*b**2. Let x(w) = 0. Calculate w.
-3, 0, 1/2
Let t(r) be the second derivative of 5*r**5/4 + 35*r**4/6 + 35*r**3/6 - 5*r**2 - 8*r. Factor t(u).
5*(u + 1)*(u + 2)*(5*u - 1)
Factor 6/13*x + 0 + 8/13*x**2 + 2/13*x**3.
2*x*(x + 1)*(x + 3)/13
Let z(h) be the third derivative of -5*h**8/1848 - h**7/1155 + h**6/132 + h**5/330 + 52*h**2. Find s, given that z(s) = 0.
-1, -1/5, 0, 1
Let m(c) be the second derivative of -7*c**5/30 + 25*c**4/9 - 83*c**3/9 + 40*c**2/3 + 182*c + 1. Factor m(r).
-2*(r - 5)*(r - 1)*(7*r - 8)/3
Factor -3/7*r**2 + r**3 + 0 + 0*r + 1/7*r**5 - 5/7*r**4.
r**2*(r - 3)*(r - 1)**2/7
Suppose -191*q - 24 = -195*q. Let i(j) be the second derivative of 0*j**3 + 0 + 1/70*j**5 - 1/105*j**6 + 1/42*j**4 + q*j + 0*j**2 - 1/147*j**7. Factor i(g).
-2*g**2*(g - 1)*(g + 1)**2/7
Let z(t) be the second derivative of -9*t**6/80 + 3*t**5/20 + 5*t**4/4 + 2*t**3 - 3*t**2/2 - 46*t. Let n(m) be the first derivative of z(m). Factor n(s).
-3*(s - 2)*(3*s + 2)**2/2
Let o be 4*(3 + 12/(-8)). Suppose 0 = r - 0*r - o. Find k, given that r*k + 2 + 2*k**2 - 2 + 4 = 0.
-2, -1
Suppose 6*p - 24 = 30. Suppose o + 4*k + 11 = 0, p*o + 4*k = 5*o + 4. Determine c so that -8/3*c - 98/3*c**o + 106/3*c**3 + 8/3 - 106/3*c**2 + 98/3*c**4 = 0.
-1, -2/7, 2/7, 1
Let a(g) = 28*g**2 + 13*g**4 + 2*g**2 + 31*g**3 + 0*g**2 + 12*g. Let x(c) = 9*c**4 + 21*c**3 + 20*c**2 + 8*c. Let m(h) = -5*a(h) + 7*x(h). Factor m(t).
-2*t*(t + 1)**2*(t + 2)
Let j(o) = o**3 + 30*o**2 - 48*o - 27. Let p(a) = 15*a**2 - 24*a - 14. Let w be (-5 + 7)/(3/(-6)). Let b(f) = w*j(f) + 10*p(f). Factor b(u).
-2*(u - 4)**2*(2*u + 1)
Let w(j) be the first derivative of -j**5/5 + j**4/4 + j**3 - 5*j**2/2 + 2*j - 103. What is h in w(h) = 0?
-2, 1
Let u(z) be the first derivative of -25*z - 1/3*z**3 - 30 - 5*z**2. Factor u(h).
-(h + 5)**2
Let g(k) be the third derivative of k**7/70 + k**6/10 - k**5/4 + 462*k**2. Factor g(d).
3*d**2*(d - 1)*(d + 5)
Suppose -4*t + 3*d - 1 = 0, 60 - 23 = -3*t - 5*d. Let a = 4 + t. Let i**4 - i**5 + 4*i + 2*i**3 + 1 + a - 2*i**2 - 5*i = 0. Calculate i.
-1, 1
Let x(l) be the third derivative of -l**6/40 - 7*l**5/10 - 11*l**4/2 - 20*l**3 + 106*l**2. Solve x(d) = 0.
-10, -2
Let s(z) be the first derivative of -2*z**5/5 + 2*z**4 + 2*z**3 - 10*z**2 - 16*z - 590. Determine p, given that s(p) = 0.
-1, 2, 4
Let d(q) = 2*q**2 - 10*q + 4. Let y(f) = -f**2 - f. Let p be (-45)/30*(-8)/6. Let k(o) = p*y(o) - d(o). Determine a so that k(a) = 0.
1
Let s(z) = -z**3 + 9*z**2 - 14*z - 25. Let o be s(5). Factor 2/9*q**3 - 2/9*q**o + 2/9*q**4 + 0 - 2/9*q**2 + 0*q.
-2*q**2*(q - 1)**2*(q + 1)/9
Suppose 32*p - 30*p = 4. Let o(s) be the second derivative of -1/12*s**4 + 0 - s + 0*s**p - 1/15*s**3. Solve o(t) = 0.
-2/5, 0
Suppose -8*b = -6*b - 5*z - 45, 0 = b - 3*z - 21. Let u be 1*2 + 3*(-14)/b. Find q such that -12/5*q**5 + 0 - 3/5*q**4 + 0*q + 12/5*q**3 + u*q**2 = 0.
-1, -1/4, 0, 1
Factor -527*j**3 - 60*j + 1087*j**3 - 525*j**3 + 125*j**2.
5*j*(j + 4)*(7*j - 3)
What is g in -8*g**2 - 14/5*g - 22/5*g**3 + 4/5 = 0?
-1, 2/11
Suppose -2*t + 24 + 12 = 4*c, 0 = -2*t + 5*c. Let g = t - -2. Factor -g*s**4 + 11*s**2 - 18*s**3 - 5*s**2 - 3*s**3.
-3*s**2*(s + 2)*(4*s - 1)
Suppose -2*q + 20 = 10. Factor -g + 5*g + q - 9 - 2 + 2*g**2.
2*(g - 1)*(g + 3)
Let j(c) be the first derivative of c**7/3360 - c**6/96 + 5*c**5/32 - 125*c**4/96 - 16*c**3/3 - 4. Let p(u) be the third derivative of j(u). Factor p(f).
(f - 5)**3/4
Let i be 1/(-44) - (-81)/297. Let w(q) be the second derivative of 1/60*q**6 - 1/12*q**4 + i*q**2 - 4*q + 0 + 0*q**3 + 0*q**5. What is n in w(n) = 0?
-1, 1
Suppose -54*s + 168 = 60. Let f(a) be the second derivative of -4/105*a**6 + 0 + 0*a**3 - 1/14*a**5 + 0*a**s - 8*a - 1/21*a**4 - 1/147*a**7. Factor f(m).
-2*m**2*(m + 1)**2*(m + 2)/7
Let a(u) be the second derivative of -u**6/15 - 6*u**5/5 - 35*u**4/6 - 8*u**3 + u - 119. Factor a(q).
-2*q*(q + 1)*(q + 3)*(q + 8)
Suppose -2 = b, -4*v + 2*v - 4*b = 16. Let k(s) = 3*s + 12. Let n be k(v). Factor 0*f + 0*f**2 + 0*f**3 - 4/5*f**4 + n + 14/5*f**5.
2*f**4*(7*f - 2)/5
Let c(f) be the first derivative of f**5/45 - f**4/27 - 2*f**3/27 + 2*f**2/9 + 2*f + 1. Let d(o) be the first derivative of c(o). Factor d(k).
4*(k - 1)**2*(k + 1)/9
Let c = 7424/3 + -2474. Factor 0 + 0*d - 4/9*d**2 + 10/9*d**3 - c*d**4.
-2*d**2*(d - 1)*(3*d - 2)/9
Let g(l) be the third derivative of -l**6/420 + 2*l**5/105 + l**4/12 - 10*l**3/21 - 288*l**2. Solve g(x) = 0 for x.
-2, 1, 5
Let m be 8/(-3)*(440/224 + 8 - 10). Factor 4/21 - m*s**2 + 2/21*s.
-2*(s - 2)*(s + 1)/21
Factor 0*z + 10/3*z**3 - 5/6*z**4 + 0*z**2 + 0.
-5*z**3*(z - 4)/6
Suppose -j + 14 = 3*b - 2*j, 2*j = -2*b + 20. Let n be (-1)/2 + 5/2. Factor -b*p - 2 - 2 - 2*p - 4*p**n.
-4*(p + 1)**2
Let l(f) be the third derivative of -f**6/60 + f**5/30 + 5*f**4/6 + 8*f**3/3 + 427*f**2. Determine z so that l(z) = 0.
-2, -1, 4
Let u(q) be the first derivative of -8*q**2 - 17 + 0*q - 16/3*q**3 - q**4. Factor u(v).
-4*v*(v + 2)**2
Let z(y) be the first derivative of -5*y**4/12 + 5*y**3/2 + 10*y**2 - 14*y + 7. Let p(o) be the first derivative of z(o). Factor p(q).
-5*(q - 4)*(q + 1)
Let p = -827 - -831. Let c(o) be the first derivative of 0*o - 10 + 1/14*o**p + 1/7*o**2 + 4/21*o**3. Factor c(a).
2*a*(a + 1)**2/7
Let t(q) = q**2 + 7*q + 17. Let k(a) = a - 1. Suppose -f - 6 - 5 = 5*p, 2*f = 5*p - 7. Let v = -7 - f. Let l(b) = v*k(b) - t(b). Find i, given that l(i) = 0.
-4
Let o(k) = 2*k**4 + 2*k**3 + 2*k**2 + 3*k. Let z(f) = 2*f**4 + 4*f**3 + 2*f**2 + 4*f. Let p(v) = -4*o(v) + 3*z(v). Find i, given that p(i) = 0.
0, 1
Let j(s) = 4*s**2 + 2*s - 44. Let u be j(-4). Factor u*h + 18 - 11/2*h**2 + 1/2*h**3.
(h - 6)**2*(h + 1)/2
Let u(l) be the second derivative of l**6/120 + l**5/5 + 2*l**4 - 2*l**3/3 + 8*l. Let a(x) be the second derivative of u(x). Solve a(j) = 0 for j.
-4
Let t(f) be the first derivative of -15 - 2/3*f**3 + 24*f - f**2. Factor t(v).
-2*(v - 3)*(v + 4)
Let q(p) = 8*p**2 - 9*p + 16. Let c(x) = 10*x**2 - 8*x + 16. Let n(z) = -3*c(z) + 4*q(z). Find r, given that n(r) = 0.
2, 4
Let r(y) = -23*y**2 + 45*y - 88. Let s(g) = -12*g**2 + 22*g - 48. Let a(o) = 6*r(o) - 11*s(o). Suppose a(k) = 0. Calculate k.
0, 14/3
Suppose -5*q + 5*i - 19 = -2*q, -3*i = -q - 13. Solve 5*g - 5*g**q - 12*g + g - 9*g = 0.
-3, 0
Suppose -m + 4 = m. Let u(l) = -2*l + 1. Let p be u(-1). Find f such that -2*f**3 + 2*f**3 - 54 + 2*f**p - 18*f**m + 54*f = 0.
3
Find y such that -244*y - y**3 - 8 + 127*y + 115*y + 5*y**2 = 0.
-1, 2, 4
Let n(d) be the third derivative of 4*d**7/357 - 13*d**6/1020 - d**5/34 - 84*d**2. Solve n(j) = 0 for j.
-3/5, 0, 5/4
Suppose 269*v + 451*v = 7*v. Suppose k - 3*o = 0, -4*k + 6*o = 2*o - 8. Factor 0*x**4 + v*x + 1/2*x**2 + 3/4*x**k + 0 - 1/4*x**5.
-x**2*(x - 2)*(x + 1)**2/4
Let g = -7567 + 7569. Suppose 36/5*p**g - 96/5*p + 64/5 - 4/5*p**3 = 0. Calculate p.
1, 4
Let d be 1*-2 - (-8 - -6). Let w be ((-68)/4 + d)*-1. | {
"pile_set_name": "DM Mathematics"
} |
4/7*a**2 + 4/21*a**3 + 15 - 1/42*a**4. Let h(o) be the first derivative of m(o). Factor h(c).
-2*(c - 2)*(c + 1)*(c + 2)/7
Factor -68/13 + 2/13*u**2 + 30/13*u.
2*(u - 2)*(u + 17)/13
Let x be (-786)/2620*(75/27 + -5). Factor 20/3*l - x*l**2 + 22/3.
-2*(l - 11)*(l + 1)/3
Find r such that 2/5*r**2 - 888/5*r + 0 = 0.
0, 444
Let t(r) be the first derivative of -1/12*r**6 + 1/8*r**4 + 0*r + 0*r**5 + 0*r**2 + 0*r**3 - 24. Factor t(l).
-l**3*(l - 1)*(l + 1)/2
Suppose -57*w + 37*w + 25 = -15. Let h(g) be the first derivative of 0*g + 3/4*g**4 - 27 + 0*g**3 - 3/2*g**w. Factor h(n).
3*n*(n - 1)*(n + 1)
Suppose 5*i + 2*c - 10 = 0, -2*i - 18 = c - 21. Let h(f) be the first derivative of 3*f**2 + i*f + 2/3*f**3 + 5. What is g in h(g) = 0?
-2, -1
Let u(y) be the second derivative of -35152*y**2 - 13/2*y**4 - 676*y**3 - 3 + 6*y - 1/40*y**5. Factor u(l).
-(l + 52)**3/2
Let y be (-19 - (-1089)/57)*(-19)/(-1). Let b(r) be the second derivative of 23*r + 0 + 5*r**y + 1/50*r**5 + r**3 - 3/10*r**4. Solve b(m) = 0 for m.
-1, 5
Let p(d) be the third derivative of -13*d**7/126 - 275*d**6/72 + 595*d**5/36 + 4975*d**4/72 + 115*d**3/3 - 10576*d**2. Find c such that p(c) = 0.
-23, -1, -2/13, 3
Let i(q) = -q**2 - 21*q - 31. Let d be (-1)/(3 - (-20)/(-7)). Let g be i(d). Factor -140*f**2 + 20*f + g*f**2 + 69*f**2.
-4*f*(f - 5)
Let p = 180 - 167. Let s(d) = 2*d**2 - 32*d + 81. Let r be s(p). Factor 4/5*u**r + 8/5 + 4*u + 16/5*u**2.
4*(u + 1)**2*(u + 2)/5
Let s(k) = -k**3 - k**2 - 1. Let n be s(-2). Factor 1479*r**4 - 1499*r**4 - 28*r**2 - 36*r**n - 4*r**5 + 0*r**5 - 8*r.
-4*r*(r + 1)**3*(r + 2)
Suppose 21*f - 194 - 37 = 0. Factor -f*s - 2633*s**3 + 26*s + 2628*s**3 - 10*s**2.
-5*s*(s - 1)*(s + 3)
Let w be ((-92)/(-14))/((-8)/(-56)). Suppose y = d - 12, -5*d + w = y + y. What is m in 4*m**2 - 12*m**2 - d*m - 25 + 7*m**2 = 0?
-5
Determine g so that -2/13*g**5 - 1208/13*g**3 - 1670/13*g + 248/13*g**4 + 2156/13*g**2 + 476/13 = 0.
1, 2, 119
Suppose 251*m - 454 - 299 = 0. Let n(u) be the third derivative of -5/24*u**4 + 0*u - 1/42*u**7 + 1/24*u**6 + 0*u**m - 25*u**2 + 1/12*u**5 + 0. Factor n(z).
-5*z*(z - 1)**2*(z + 1)
Let b(z) = z**3 - 62*z**2 + 69*z. Let w(o) be the second derivative of 3*o**5/20 - 41*o**4/4 + 23*o**3 + o + 13. Let v(a) = 9*b(a) - 4*w(a). Factor v(c).
-3*c*(c - 1)*(c + 23)
Let o(x) be the second derivative of -x**7/560 + x**6/120 - x**5/80 + x**3/6 + 31*x**2 - 14*x + 2. Let u(p) be the second derivative of o(p). Solve u(w) = 0.
0, 1
Suppose 2/3*l**3 + 120 + 56/3*l**2 + 138*l = 0. What is l?
-15, -12, -1
Find s such that -3993 - 224*s + 1174 - s**2 - 9725 = 0.
-112
Let l = 2018475/11 - 183497. Determine z, given that l*z**2 + 2/11*z**5 - 8/11*z + 0 + 6/11*z**3 - 8/11*z**4 = 0.
-1, 0, 1, 2
Let g be ((-16)/(-90))/(4 + 72/(-20)). Let l(k) = -2*k**2 + 65*k + 35. Let s be l(33). Factor -g*c - 2/9*c**s + 0.
-2*c*(c + 2)/9
Let j be 1655 - 1709 - (-975)/18. Factor -5/6*b**2 - 2/3*b + 10/3 + j*b**3.
(b - 5)*(b - 2)*(b + 2)/6
Let s be 8/(-12)*-3*2. Suppose 2*z = -3*f + 12, -20*z = -16*z - 2*f - 8. Factor 8*a**3 + 3*a + 7*a**z - 11*a**2 + 26*a**2 + 5*a**s + 2*a.
5*a*(a + 1)**3
Let x be (-23)/5 - 16/((-480)/150). Determine p, given that 2/5*p**4 + 0 + x*p**2 - 4/5*p**5 + 12/5*p**3 - 4/5*p = 0.
-1, 0, 1/2, 2
Factor -5*u**3 - 134*u + 1199*u - 1210*u**2 + 2816*u**2 - 1266*u**2.
-5*u*(u - 71)*(u + 3)
Suppose 38988/5 + 2223*l + 3/5*l**3 + 354/5*l**2 = 0. What is l?
-57, -4
Let h = 1109/23 - 5269/115. Let 3/5*g**5 - 3/5*g**4 + h*g**2 - 18/5*g**3 + 0 + 24/5*g = 0. What is g?
-2, -1, 0, 2
Suppose -24*s + 39 = -11*s. Factor 6 + 6*p**s + 16 - 10 - 6*p**2 - 14*p + 2*p**4.
2*(p - 1)**2*(p + 2)*(p + 3)
Let i(l) be the first derivative of -10/3*l**3 + 1/2*l**5 + 5/4*l**4 - 10*l**2 - 1/6*l**6 + 13 + 37*l. Let x(w) be the first derivative of i(w). Factor x(z).
-5*(z - 2)**2*(z + 1)**2
Let a = -52 - -66. Suppose 8 = 2*f + 34*m - 35*m, 0 = -2*f + 4*m + a. Factor 6/13*p**2 - 6/13 - 2/13*p**f + 2/13*p.
-2*(p - 3)*(p - 1)*(p + 1)/13
Let n be (-708)/(-8)*8/9. Let d = n - 1640/21. Determine t, given that 2/7*t**5 + 4/7*t**2 + 0 - d*t**4 - 2/7*t + 0*t**3 = 0.
-1, 0, 1
Let g(m) be the third derivative of -m**5/480 - 59*m**4/192 + 1559*m**2. Factor g(s).
-s*(s + 59)/8
Let h(n) be the first derivative of n**5/150 - n**4/36 - 2*n**3/45 + n**2/2 + 17*n - 128. Let f(l) be the second derivative of h(l). Find b such that f(b) = 0.
-1/3, 2
Suppose -4*j = 5*o - 2769, o = -j + 6*o + 711. Let z be (1 + (-5)/2)*j/(-18). Factor -60*a**4 + z*a**4 + 3*a**2 - a**3 + 5*a**2 - 5*a**3.
-2*a**2*(a - 1)*(a + 4)
Let z = 34666 + -34662. Factor -2900/3*t**2 - 5000 - 11000/3*t - 1/6*t**5 - 120*t**3 - 43/6*t**z.
-(t + 3)*(t + 10)**4/6
Suppose 0 + 125/4*g**4 - 175*g - 5/4*g**5 - 435/4*g**3 - 1265/4*g**2 = 0. What is g?
-1, 0, 7, 20
Let a be (18 - 4768/336) + 8/(-7). Factor -3/2*x**4 - 5/6*x**2 + 0 + a*x**3 - 1/3*x.
-x*(x - 1)**2*(9*x + 2)/6
Let d(u) = -u**3 - 7*u**2. Let h be d(-7). Suppose -12*o + 19*o - 14 = h. Factor -4 - 1/4*g**2 - o*g.
-(g + 4)**2/4
Suppose 276*w - 274*w - 8 = 0. Let s(v) be the first derivative of 5/8*v**w + 1/2*v**3 + 2*v - 3*v**2 - 35. Factor s(o).
(o - 1)*(o + 2)*(5*o - 2)/2
Factor 2/3*a - 140/9 + 2/9*a**2.
2*(a - 7)*(a + 10)/9
Let z(s) be the first derivative of s**6/6 + 56*s**5/5 + 1048. Determine j, given that z(j) = 0.
-56, 0
Let l = -55 - -79. Suppose l + 16 = 10*i. Determine y, given that -2660*y**i + 2658*y**4 + 0*y**3 + 12*y**3 = 0.
0, 6
Let s(m) be the first derivative of 56 - 4/25*m**5 - 32/5*m**3 - 8/5*m**4 - 64/5*m**2 - 64/5*m. Find b, given that s(b) = 0.
-2
Let o = 840308 - 840306. Factor 1 - 1/3*g**o + 2/3*g.
-(g - 3)*(g + 1)/3
Let u = 2125/42 - -955/42. Determine g so that u*g**2 - 14/3*g**3 - 832/3*g - 256/3 = 0.
-2/7, 8
Let x be (-150)/(-19) + -8 - 87465/(-76). Let z = x - 1150. Factor -z*f**2 + 0*f + 3/4.
-3*(f - 1)*(f + 1)/4
Let j(d) = 3*d**2 - 3*d - 8*d**3 + 0 - 11*d**2 + 3. Let q(i) = i**3 + i**2 + i - 1. Let r(z) = j(z) + 3*q(z). Let r(s) = 0. What is s?
-1, 0
Let v(i) be the first derivative of -5*i**4/4 - 74*i**3/3 + 285*i**2/2 - 54*i + 6868. Factor v(w).
-(w - 3)*(w + 18)*(5*w - 1)
Let i(b) = -131*b**3 + 1185*b**2 + 82*b - 8. Let t(c) = -785*c**3 + 7105*c**2 + 490*c - 50. Let p(a) = -25*i(a) + 4*t(a). Factor p(l).
5*l*(l - 9)*(27*l + 2)
Factor -2/17*s**3 + 74/17*s**2 + 1440/17 + 688/17*s.
-2*(s - 45)*(s + 4)**2/17
Let i(s) be the second derivative of -1/90*s**6 + 4/9*s**3 + 1/6*s**4 + 0 + 0*s**5 - 5/2*s**2 + 17*s. Let g(n) be the first derivative of i(n). Solve g(k) = 0.
-1, 2
Let y(h) = -11*h**3 - 26*h**2 + 111*h - 192. Let o(c) = -31*c**3 - 77*c**2 + 334*c - 571. Let i(d) = -6*o(d) + 17*y(d). Suppose i(s) = 0. Calculate s.
2, 9
Let -310*b - 2/3*b**3 - 932/3*b**2 + 0 = 0. Calculate b.
-465, -1, 0
Let y = 181 + -190. Let o(j) = j**2 + 16*j + 63. Let g be o(y). Solve g + 8/9*c - 10/9*c**3 + 16/9*c**2 = 0 for c.
-2/5, 0, 2
Factor 0*s + 0 - 60*s**2 - 2/5*s**4 - 302/5*s**3.
-2*s**2*(s + 1)*(s + 150)/5
Let c(z) = 4*z**2 - 63*z + 47. Let o be c(15). Factor 23*f**o + 16*f + 29*f**2 - 16 + f - 53*f**2.
-(f - 16)*(f - 1)
Suppose 8 = -22*k + 26*k. Determine a, given that -27*a**2 + 12 - 1175*a**3 + 16*a**4 - 1178*a**3 - 21*a**k + 14*a + 2359*a**3 = 0.
-2, -3/8, 1
Let k = 3833 + -3833. Let i(f) be the first derivative of 0*f - 4/7*f**2 + 0*f**3 - 1/21*f**6 + 5/14*f**4 + 22 + k*f**5. Determine p so that i(p) = 0.
-2, -1, 0, 1, 2
Let x(d) be the second derivative of d**5/170 + 3*d**4/34 + 2*d**3/17 - 16*d**2/17 - 1256*d. Factor x(m).
2*(m - 1)*(m + 2)*(m + 8)/17
Let i(x) be the third derivative of x**6/24 + 15*x**5/2 - 635*x**4/8 - 1175*x**3/3 - 2707*x**2. What is c in i(c) = 0?
-94, -1, 5
Determine v, given that -291*v**3 + 294*v**3 - 105*v + 147*v**2 - 108*v + 108 - 45*v**2 = 0.
-36, 1
Let s(d) = -3*d**3 - 2 + 157*d - 324*d + 154*d - 6*d**2. Let n(o) = -4*o**3 - 6*o**2 - 14*o. Let b(r) = -2*n(r) + 3*s(r). Factor b(c).
-(c + 1)*(c + 2)*(c + 3)
Let y(n) be the first derivative of 2*n**5/5 - 55*n**4/2 + 726*n**3 - 9317*n**2 + 58564*n + 1572. What is s in y(s) = 0?
11, 22
Let z(w) be the second derivative of 11*w**6/10 + 49*w**5/2 + 275*w**4/4 + 70*w**3 + 26*w**2 - 18*w - 28. Solve z(p) = 0 for p.
-13, -1, -2/3, -2/11
Suppose -34*r**4 + 11*r**4 + 37*r**5 - 138*r - 191*r**2 + 8 + 101*r | {
"pile_set_name": "DM Mathematics"
} |
+ c**4 + 0*c + 2*c + c + 0*c**3 - 8 + 8*c**3 wrt c.
12*c**2 + 48*c
Let g(j) = -21*j**4 - 3*j**3 + 141*j - 1. Let z(k) = -64*k**4 - 8*k**3 + 424*k - 3. Let q(c) = 8*g(c) - 3*z(c). What is the second derivative of q(r) wrt r?
288*r**2
Let g(a) be the second derivative of -a**8/420 - a**4/6 + 7*a**3/6 + 4*a. Let t(i) be the second derivative of g(i). Find the first derivative of t(z) wrt z.
-16*z**3
What is the third derivative of -60 - 65 - 221*n**2 - 292*n**6 - 7*n**2 + 185 - 59 wrt n?
-35040*n**3
Let p(a) = 557*a**3 - 167*a**2 - 5*a - 11. Let j(k) = -279*k**3 + 84*k**2 + 3*k + 6. Let z(q) = -5*j(q) - 3*p(q). Find the third derivative of z(b) wrt b.
-1656
Let h(u) = 3*u - 10. Let b be h(14). Let d = b + -29. What is the first derivative of -2 - x**3 - 2*x**d - 2*x**3 + 8 wrt x?
-15*x**2
Suppose -2*u + 4*y - 1 = -17, 0 = -y - 3. What is the third derivative of 13*n**2 + 6*n**u + 4*n**6 - 9*n**2 wrt n?
480*n**3
Let l(r) be the first derivative of 271*r**5/5 + 89*r**3 - r**2 - 525. Find the third derivative of l(s) wrt s.
6504*s
Differentiate -349 - 97*a**2 + 16*a**2 + 409 with respect to a.
-162*a
Find the first derivative of 96*d - 12 - 33 - 16 wrt d.
96
Let q(h) be the third derivative of -17*h**4/6 - 30*h**3 - 23*h**2. Differentiate q(t) wrt t.
-68
Let p(r) be the third derivative of -2*r**2 + 0*r**6 + 0*r**4 + 0*r**7 + 0 + 1/48*r**8 + 0*r**3 + 3/20*r**5 + 0*r. Find the third derivative of p(v) wrt v.
420*v**2
Let i be 42/8 - (-2)/(-8). What is the second derivative of 0*b**5 + 81*b - 74*b - 20*b**i wrt b?
-400*b**3
What is the second derivative of -77*t**4 - 5*t + 77*t**4 + 216 + 4*t - 791*t**5 wrt t?
-15820*t**3
Differentiate -2*n - 85 - 32*n**4 - 148 + 0*n - 20*n**4 - 261 with respect to n.
-208*n**3 - 2
Let w(k) = -35*k**3 - 30*k + 5. Suppose 24*s = 20*s - 16. Let x(f) = 36*f**3 + 31*f - 4. Let p(r) = s*w(r) - 5*x(r). Find the second derivative of p(b) wrt b.
-240*b
Let m(n) = -111*n**3 + 5*n**2 + 5*n + 195. Let j(h) = 334*h**3 - 14*h**2 - 14*h - 586. Let p(z) = -5*j(z) - 14*m(z). What is the derivative of p(u) wrt u?
-348*u**2
Let j be (-32)/(-10) + (-16)/(-20). Suppose 2*o - 3*g + j = -3, 2*g = 10. Find the second derivative of 5*n - 5*n**4 + 3*n**o + n**4 + 4*n**4 wrt n.
36*n**2
Suppose 7*s = 2*s + 20. Let p(h) = -h**3 - 7*h**2. Let t be p(-7). Find the third derivative of t + 4*d**3 + 0 - s*d**2 + 12*d**2 wrt d.
24
Let d(k) be the second derivative of 40*k**4/3 - k**3 - 171*k. What is the second derivative of d(a) wrt a?
320
Let x(c) = -51*c**3 + 10*c**2 - 5*c - 212. Let u(z) = -51*z**3 + 12*z**2 - 6*z - 214. Let y(q) = -5*u(q) + 6*x(q). Differentiate y(a) wrt a.
-153*a**2
Let v(n) be the third derivative of 133*n**4/24 + 26*n**3/3 - 3*n**2 + 19*n. What is the first derivative of v(w) wrt w?
133
Let y be ((-5)/(-10))/(1/8). Let c(z) be the first derivative of 0*z + 0*z**5 + 0*z**y - z**6 + 0*z**3 + 3 + 3/2*z**2. Find the second derivative of c(p) wrt p.
-120*p**3
Let u(v) be the first derivative of 51*v**2 - 27*v + 50. What is the first derivative of u(x) wrt x?
102
Suppose -6*x + 147 = 129. Differentiate -p + 3 - 480*p**x + 448*p**3 - 9 with respect to p.
-96*p**2 - 1
Let y(v) = 9*v + 56. Let f(j) = 9*j + 61. Let s(q) = -6*f(q) + 7*y(q). Differentiate s(b) with respect to b.
9
Let u(y) = y**3 + 15*y**2 - 16*y - 3. Let l be u(-16). Let k be 6/4*(-28)/l. Find the third derivative of -3*m**2 - 6*m**2 - 6*m**6 + k*m**2 wrt m.
-720*m**3
Let w(k) = -k**3 - 23*k**2 - 23*k - 20. Let p be w(-22). Suppose -j + 3 = -3. What is the third derivative of -t**4 - 6*t**4 + j*t**4 + p*t**2 - t**4 wrt t?
-48*t
Differentiate -29*x**2 - 55 - 21*x**2 - 2*x + 93*x**2 - 32*x**2 with respect to x.
22*x - 2
Find the third derivative of 7788*s - 7788*s - 908*s**2 - 359*s**5 wrt s.
-21540*s**2
Find the second derivative of 25*x**3 + 79*x - 13*x**2 + 14*x**2 + 349*x wrt x.
150*x + 2
Let k(o) = -25*o**4 - 4*o**3 - 3*o + 91. Let r(m) = 2*m**4 - 2*m**3. Let f(c) = k(c) - 2*r(c). Find the second derivative of f(z) wrt z.
-348*z**2
Find the second derivative of -515*w**3 + 0*w - 41*w**3 + 45*w**3 + 93 + 0*w - w wrt w.
-3066*w
Let n(i) be the first derivative of 13*i**8/840 + 3*i**4/4 - 32*i**3/3 - 9. Let x(y) be the third derivative of n(y). Differentiate x(f) wrt f.
104*f**3
Let n(q) = -8*q + 4*q**2 + 4 - q**3 - 6*q**2 + 0*q**3 - 7*q**2. Let p be n(-8). What is the second derivative of 0*w**2 - p*w + 0*w**2 - 3*w**2 + 7*w wrt w?
-6
Let t(j) = 86*j**2 - 6*j - 67. Let s(h) = -85*h**2 + 9*h + 66. Let q(n) = 2*s(n) + 3*t(n). What is the first derivative of q(x) wrt x?
176*x
Let h be (-5)/(-4)*(-3)/5*-4. Find the second derivative of f**h + 10*f - 2*f**3 + 2*f**3 wrt f.
6*f
Let z(a) = 6*a - 18 + a - 3*a + 1. Let t be z(7). Differentiate 11*w - t*w - 12 + 2 + 7*w**2 with respect to w.
14*w
Let u(c) be the second derivative of 83*c**4/12 + 125*c**2/2 - 117*c. What is the first derivative of u(h) wrt h?
166*h
Let p(d) be the third derivative of 223*d**6/40 - d**5/60 - 155*d**4/24 - 3*d**2 - 40*d. Find the third derivative of p(j) wrt j.
4014
Let a be ((-5)/(-10))/(-1) - 9/(-2). Differentiate 3 - 37*v**4 + 48*v**4 - a with respect to v.
44*v**3
Let p(z) be the first derivative of -z**5/5 + z**4/4 - 40*z + 12. Differentiate p(u) with respect to u.
-4*u**3 + 3*u**2
Differentiate -202 + k - 15 + 38 - 91 + k**2 wrt k.
2*k + 1
Suppose -a + 3*f = 6, -f - 3 = -3*a + 3. Suppose -u = -a*u. Find the third derivative of u + r**2 + 0 - 5*r**6 - 6*r**2 wrt r.
-600*r**3
Let n(x) = 661*x**2 + 5*x - 9. Let j(z) = -661*z**2 - 7*z + 10. Let s(v) = 4*j(v) + 5*n(v). What is the second derivative of s(g) wrt g?
1322
Let x(t) be the second derivative of 2/5*t**6 + 0*t**2 - 11*t + 0 + 0*t**3 + 0*t**5 + 3/4*t**4. What is the third derivative of x(c) wrt c?
288*c
Let p(o) be the first derivative of -2*o**7/7 + 3*o**4/2 - 4*o**3/3 + 4*o - 82. What is the third derivative of p(u) wrt u?
-240*u**3 + 36
Find the second derivative of 3*w + 1 - 18*w**2 - 2 - 9*w - 51*w**2 wrt w.
-138
Let w(j) = -13*j**3 + j**2 - 5*j - 93. Let d(p) = -p**2 + 3*p. Let s(m) = -d(m) - w(m). What is the derivative of s(x) wrt x?
39*x**2 + 2
Let a(d) = 20*d**5 - 2*d**3 - d**2 + 2*d. Let z(t) = -t**5 + t**3 - t. Suppose 5*v + 2 = 7. Let s(n) = v*a(n) + 2*z(n). Find the third derivative of s(u) wrt u.
1080*u**2
Let g(a) be the second derivative of 83*a**5/20 - 3*a**3/2 + 3*a**2/2 - 21*a - 3. What is the second derivative of g(t) wrt t?
498*t
Let h(t) be the first derivative of 7/2*t**2 - 5*t + 5. Find the first derivative of h(d) wrt d.
7
Let p be -9 + 11 - 17/1. Let g = p + 26. Find the second derivative of -24 - 7*l + g*l**2 + 24 wrt l.
22
Let y(z) be the first derivative of -5*z**6/24 + z**5/10 - 19*z**2 - 10. Let d(p) be the second derivative of y(p). Find the third derivative of d(q) wrt q.
-150
Let d(t) = 703*t**4 + 4*t**3 - 8*t**2 + 6*t + 92. Let p(s) = -s**4 + s**3 - 2*s**2 + s + 1. Let k(u) = d(u) - 4*p(u). Find the second derivative of k(q) wrt q.
8484*q**2
Let c(k) be the first derivative of 3/2*k**4 - 10 + 0*k + 0*k**3 + 9*k**2. What is the second derivative of c(a) wrt a?
36*a
Let w(r) = -4*r**2 - r - 1. Let v(m) = 100*m**2 + 5*m - 28. Let s(o) = -v(o) - 4*w(o). What is the first derivative of s(u) wrt u?
-168*u - 1
Let w(d) be the second derivative of -369*d**5/10 - 55*d**2/2 + 2*d + 230. What is the derivative of w(l) wrt l?
-2214*l**2
Let q be (-1)/(-5) - 168/(-60). What is the first derivative of -q - 3 - 2*g**3 - g**3 - 17 wrt g?
-9*g**2
Let p(c) = -c**5 + c**2 + 1. Let m(v) = 5*v**5 + 18*v**3 + 243*v**2. Let t(j) = m(j) + 2*p(j). What is the third derivative of t(k) wrt k?
180*k**2 + 108
Let r(s) = -s**2 - 14*s - 23. Let c be r(-11). Find the third derivative of -62*z**2 + c*z**3 + 15*z**2 - 5*z**3 + 22*z**2 wrt z.
30
Let u be 2*((-43)/(-6))/(8/24). Differentiate 0*h**2 - 21*h**3 - 27 - 2*h**2 + u*h**3 - 34*h**3 with respect to h.
-36*h**2 - 4*h
Let l(u) be the first derivative of 160*u**3/3 - 111*u**2 + 84. What is the second derivative of l(y) wrt y?
320
Suppose 0 = 38*d - 64 - 126. Let f(c) be the third derivative of -11*c**2 + 0*c - 3/20*c**d + 0 + 0*c**3 + 1/8*c**4. Find the second derivative of f(g) wrt g.
-18
Let x(g) = -2*g**2 - 24*g + 15. Let m be x(-12). What is the first derivative of 11 + 8 + m* | {
"pile_set_name": "DM Mathematics"
} |
itre in millilitres?
240
What is 1/20 of a decade in months?
6
What is 847605.2ng in grams?
0.0008476052
How many seconds are there in 1/45 of a week?
13440
Convert 66818.94 weeks to days.
467732.58
How many centimeters are there in 1/20 of a kilometer?
5000
What is 3.3764458 days in weeks?
0.4823494
Convert 888.9635 millennia to decades.
88896.35
How many millimeters are there in 27.1262m?
27126.2
How many nanometers are there in 3/50 of a millimeter?
60000
Convert 58555.58 litres to millilitres.
58555580
What is 24656.9373 microseconds in days?
0.00000028538121875
What is 85882.4 micrometers in nanometers?
85882400
How many kilograms are there in 3210.365ug?
0.000003210365
Convert 0.3725643ml to litres.
0.0003725643
How many millilitres are there in 17/4 of a litre?
4250
How many centuries are there in 0.8379791 decades?
0.08379791
How many micrograms are there in 6.833033 milligrams?
6833.033
What is 149083.3ml in litres?
149.0833
How many nanometers are there in thirteen quarters of a micrometer?
3250
What is fourty-five quarters of a microgram in nanograms?
11250
What is nine sixteenths of a minute in milliseconds?
33750
What is 1.090488 litres in millilitres?
1090.488
How many microseconds are there in 218530.2 minutes?
13111812000000
What is 8498676.6 nanoseconds in hours?
0.0000023607435
How many litres are there in 2717.411ml?
2.717411
What is 3476.053 minutes in seconds?
208563.18
What is 13.74007 weeks in minutes?
138499.9056
How many millilitres are there in eleven quarters of a litre?
2750
Convert 3.441568 weeks to seconds.
2081460.3264
How many millimeters are there in twenty-five quarters of a meter?
6250
What is 20.2666185 milliseconds in days?
0.00000023456734375
How many milligrams are there in 9754.377 micrograms?
9.754377
What is 319.2723 millilitres in litres?
0.3192723
What is 1/63 of a week in minutes?
160
What is twenty-nine halves of a millimeter in micrometers?
14500
Convert 8.619318 nanometers to micrometers.
0.008619318
What is thirty-two fifths of a decade in years?
64
What is 17/4 of a millisecond in microseconds?
4250
Convert 0.9586277 days to seconds.
82825.43328
How many milliseconds are there in one fifth of a minute?
12000
What is 3617.127 minutes in hours?
60.28545
How many grams are there in 0.1928856 nanograms?
0.0000000001928856
How many millilitres are there in 7195.718 litres?
7195718
What is twenty-one fifths of a century in months?
5040
What is 2/21 of a week in minutes?
960
What is 60.34768 years in months?
724.17216
What is seven quarters of a gram in milligrams?
1750
Convert 13.75007 weeks to seconds.
8316042.336
Convert 0.2644302 weeks to microseconds.
159927384960
Convert 4.483556 days to microseconds.
387379238400
What is 3918.35s in milliseconds?
3918350
How many millilitres are there in nine tenths of a litre?
900
What is 42731.48 hours in microseconds?
153833328000000
How many microseconds are there in seven eighths of a millisecond?
875
How many kilograms are there in 810137.8 tonnes?
810137800
What is 1.731789um in millimeters?
0.001731789
Convert 21356.72kg to milligrams.
21356720000
How many micrograms are there in 19.4159 nanograms?
0.0194159
What is one fifteenth of a week in seconds?
40320
How many milliseconds are there in eight fifteenths of a minute?
32000
How many centimeters are there in 3987.13nm?
0.000398713
How many litres are there in 96451.2 millilitres?
96.4512
What is 4629.46 meters in micrometers?
4629460000
How many meters are there in three fifths of a kilometer?
600
Convert 436492.4 tonnes to grams.
436492400000
What is 1.253389mm in centimeters?
0.1253389
Convert 997.1886 milligrams to micrograms.
997188.6
Convert 31710.36 millennia to decades.
3171036
What is 3.037453kg in grams?
3037.453
What is twenty-one eighths of a kilometer in meters?
2625
What is seventeen tenths of a milligram in micrograms?
1700
What is 0.4105452g in milligrams?
410.5452
What is 4815.147 months in centuries?
4.0126225
Convert 54.15422 days to hours.
1299.70128
How many centuries are there in 90.83691 months?
0.075697425
How many months are there in 5/6 of a decade?
100
What is 122.2592 centuries in decades?
1222.592
Convert 276.453 months to years.
23.03775
What is 2081017.71 nanoseconds in days?
0.000000024085853125
How many months are there in five sixths of a century?
1000
How many millilitres are there in one tenth of a litre?
100
Convert 853.9143 decades to millennia.
8.539143
Convert 752766.2 millennia to months.
9033194400
How many seconds are there in 0.9298767 microseconds?
0.0000009298767
How many nanometers are there in 1.04316mm?
1043160
What is 27470.04 micrometers in kilometers?
0.00002747004
Convert 0.7879562m to micrometers.
787956.2
Convert 21446680.5 minutes to weeks.
2127.646875
What is 24.29948ug in kilograms?
0.00000002429948
Convert 5758.33 nanograms to kilograms.
0.00000000575833
Convert 561547.1 weeks to minutes.
5660394768
Convert 0.6187746 centuries to decades.
6.187746
What is 6814.934 nanometers in millimeters?
0.006814934
What is twenty ninths of a day in minutes?
3200
What is three tenths of a litre in millilitres?
300
How many milliseconds are there in 48.1016 minutes?
2886096
What is 81536.37 decades in years?
815363.7
What is 34.44113nm in kilometers?
0.00000000003444113
How many nanograms are there in 11/2 of a microgram?
5500
What is 327880.3 hours in milliseconds?
1180369080000
How many microseconds are there in 5.620586 weeks?
3399330412800
What is 6.136762 millennia in years?
6136.762
How many millimeters are there in one tenth of a kilometer?
100000
What is 4.036576 centuries in millennia?
0.4036576
What is seven sixths of a minute in milliseconds?
70000
What is 1/5 of a week in minutes?
2016
Convert 3466.144 kilograms to grams.
3466144
How many micrometers are there in 21/4 of a centimeter?
52500
How many millimeters are there in 52/5 of a centimeter?
104
How many litres are there in 903240.9ml?
903.2409
How many millimeters are there in 1/4 of a meter?
250
What is 463091.1 grams in tonnes?
0.4630911
How many nanograms are there in 1/20 of a microgram?
50
What is 3/25 of a micrometer in nanometers?
120
What is 1/4 of a litre in millilitres?
250
What is 27733.53 litres in millilitres?
27733530
Convert 0.7214373 litres to millilitres.
721.4373
How many millilitres are there in 9.04475l?
9044.75
What is seven halves of a meter in millimeters?
3500
What is 1/4 of a millennium in months?
3000
How many milligrams are there in 1/20 of a kilogram?
50000
What is 11/2 of a litre in millilitres?
5500
Convert 3.286648 millennia to years.
3286.648
What is 5/6 of a millennium in months?
10000
How many litres are there in 615.3304 millilitres?
0.6153304
How many months are there in 0.8653047 years?
10.3836564
How many micrometers are there in twenty-five quarters of a millimeter?
6250
How many grams are there in fifteen quarters of a kilogram?
3750
Convert 1.543314 kilograms to grams.
1543.314
How many centimeters are there in 91.83141um?
0.009183141
Convert 619248.3 litres to millilitres.
619248300
Convert 51895.3 years to millennia.
51.8953
How many micrometers are there in 37/5 of a centimeter?
74000
How many months are there in 401.2111 decades?
48145.332
What is 41044.41 decades in years?
410444.1
How many months are there in 3/10 of a millennium?
3600
How many millilitres are there in 13/5 of a litre?
2600
How many months are there in 51541.3 decades?
6184956
How many minutes are there in three fifths of a week?
6048
How many months are there in 21/8 of a decade?
315
What is twenty-five quarters of a decade in months?
750
What is 2/9 of a day in minutes?
320
What is 3/25 of a litre in millilitres?
120
How many millilitres are there in one tenth of a litre?
100
What is 43/2 of a year in months?
258
What is one fifth of a decade in months?
24
What is 0.2203159 centimeters in millimeters?
2.203159
How many seconds are there in seven eighths of a hour?
3150
What is seven halves of a meter in centimeters?
350
What is 18/5 of a millennium in years?
3600
What is 7/4 of a millennium in years?
1750
What is 21/2 of a century in decades?
105
What is 2596547.7 seconds in minutes?
43275.795
How many centuries are there in 865232.4 decades?
86523.24
How many seconds are | {
"pile_set_name": "DM Mathematics"
} |
t value? (a) -4332 (b) 3 (c) -1/2 (d) 0.2 (e) 0.5 (f) -4
d
Which is the third biggest value? (a) 0.7 (b) -180/49 (c) -5/4 (d) 5/3
c
Which is the fourth smallest value? (a) -0.04 (b) -11 (c) 0 (d) 3 (e) 0.5
e
Which is the third smallest value? (a) -4/3 (b) 6/5 (c) -246731
b
What is the smallest value in -1, 0.4, -8, -0.0729?
-8
Which is the third biggest value? (a) -12 (b) -3 (c) 1/2 (d) 1/5 (e) -15
b
What is the sixth biggest value in 0.34, -1/5, 1/16, 0.4, 1/3, 1?
-1/5
What is the second smallest value in -3, 5, 3, 8, -178, 1?
-3
What is the fourth biggest value in -0.11, -2, 3, -4.3?
-4.3
What is the sixth biggest value in -2/5, 1/3, -3, 1/11, 2/7, -1/7?
-3
Which is the second smallest value? (a) -125 (b) -0.688 (c) -2/29
b
Which is the third biggest value? (a) 11/2 (b) -0.5 (c) 1 (d) -1/3 (e) -0.1
e
What is the sixth biggest value in -1/6, 2/7, -9/5, -1, -0.5, -1/3?
-9/5
Which is the smallest value? (a) -0.4 (b) 3.711 (c) -12 (d) 0
c
What is the sixth biggest value in -9/5, -2, 3, 0.1, 1057, -1/3?
-2
Which is the fifth biggest value? (a) -4 (b) -1 (c) 8/37 (d) 922 (e) 2
a
What is the third smallest value in -0.8, -105, 3/2?
3/2
Which is the second smallest value? (a) -2 (b) -5 (c) 0.2 (d) -0.2 (e) -6 (f) 1/110
b
Which is the second biggest value? (a) 208 (b) 10 (c) 2
b
What is the second biggest value in 2, -0.9, 0, -384, 30?
2
Which is the third biggest value? (a) -1 (b) 1/896 (c) 1.1
a
What is the smallest value in -64, 59, -1?
-64
What is the fifth smallest value in 1/2, -0.2, -5, -0.07, -1/3?
1/2
What is the second smallest value in -0.3, 32, -1.955?
-0.3
What is the biggest value in 4, 0.05, 6, 97, -2/13?
97
Which is the biggest value? (a) -2/9 (b) 0.9 (c) 1.07 (d) 0.144
c
What is the biggest value in -85217, -1/5, -4?
-1/5
What is the third smallest value in -0.4, 10/13, 5/4, 1/2, -1/9, 1.8?
1/2
Which is the sixth biggest value? (a) 2 (b) 0.5 (c) -0.16 (d) 5/2 (e) -62 (f) 3
e
Which is the sixth smallest value? (a) -0.07 (b) -2/21 (c) 81/4 (d) 3 (e) -1/2 (f) 6
c
Which is the third smallest value? (a) 2 (b) -134.33 (c) -1
a
Which is the fifth smallest value? (a) 0.4 (b) -9 (c) -3/7 (d) 6/37 (e) 29 (f) 1/6
a
Which is the second biggest value? (a) 15740/3 (b) 1/4 (c) 12
c
Which is the biggest value? (a) 0.1 (b) 20/399 (c) 0.2 (d) -3 (e) 3
e
What is the fourth biggest value in -50, 1, 0.5, 2/3?
-50
What is the biggest value in 2/211, 4, -116?
4
Which is the third biggest value? (a) -8 (b) 1/3 (c) -4 (d) 1/154
c
What is the second smallest value in -3.2, -0.01, -2/5, -21, 1?
-3.2
Which is the biggest value? (a) -0.3 (b) 5/4 (c) 6 (d) -3.38
c
Which is the fourth smallest value? (a) 4.4 (b) -1/2 (c) 0.2 (d) -389 (e) 0
c
Which is the third smallest value? (a) -1155 (b) 5 (c) -2/11 (d) 0 (e) -0.5 (f) -0.4
f
What is the fourth biggest value in 17/32, 1/11, -114, -2/7?
-114
Which is the third smallest value? (a) -1/4 (b) 2 (c) 5110 (d) 3 (e) 0
b
Which is the fourth biggest value? (a) 0 (b) -1665 (c) 2/9 (d) 1/4
b
What is the smallest value in 1.45, -0.4, 3/5, -3/4, 0.07, -2?
-2
What is the biggest value in 16, 2/25, 4, 5, -1/7?
16
Which is the smallest value? (a) -0.196 (b) 130 (c) 1/4 (d) -2
d
What is the second smallest value in -247, -2, -9, -1/2?
-9
Which is the third biggest value? (a) 49 (b) -0.151 (c) -31
c
Which is the biggest value? (a) 0.3 (b) -4/5 (c) -88 (d) -2/19
a
Which is the biggest value? (a) -7/4 (b) 5 (c) -37 (d) 2/7
b
Which is the fourth smallest value? (a) -0.08 (b) 0.2 (c) -12/7 (d) -0.15
b
What is the fifth smallest value in 1/3, 7, -2, 44, 27, 1/4?
27
What is the fourth smallest value in -0.3, 1/51, 0.1, 0.3, -1/9?
0.1
Which is the biggest value? (a) -227 (b) 3 (c) 558
c
Which is the fifth biggest value? (a) -11 (b) 2/9 (c) 0.5 (d) -3 (e) 0 (f) -0.05
d
What is the second biggest value in 0.2, -1/30, 4, -3/5, -0.7, 4/5?
4/5
Which is the second smallest value? (a) -0.4 (b) 60 (c) -370
a
Which is the third smallest value? (a) -2/9 (b) 3/4 (c) 4.6 (d) -0.036
b
Which is the fourth biggest value? (a) 17 (b) -4 (c) 3 (d) -45 (e) -2/11 (f) -0.4
f
What is the second smallest value in -2/9, 306, 2, 0.4, -1, -1.8?
-1
What is the fourth smallest value in 0, -2/3, 1/6, 464/19, 4?
4
What is the second smallest value in -4/5, -0.5, 8/3, 15.4?
-0.5
Which is the smallest value? (a) 1/4 (b) -1/17379 (c) -0.1 (d) -13
d
Which is the biggest value? (a) 705.4 (b) 3/2 (c) 1 (d) 4
a
What is the second smallest value in 979, 0, 16?
16
Which is the fourth smallest value? (a) 27 (b) 0 (c) 0.4 (d) -0.05 (e) -2/11 (f) -0.07
b
What is the second biggest value in 4, 3/7, -11771/16?
3/7
Which is the fourth biggest value? (a) 0.4 (b) 0.05 (c) -0.046 (d) 7
c
Which is the fourth smallest value? (a) 11/6 (b) 1/489 (c) 0.2 (d) 1/8 (e) 2/7 (f) 2
e
What is the fifth biggest value in -1/5, 0.5, -2, -1/15, -30?
-30
Which is the smallest value? (a) -2/7 (b) 20 (c) -0.28 (d) 0.6 (e) -3
e
Which is the sixth smallest value? (a) -5/2 (b) -1.4 (c) 1/5 (d) -1 (e) 0.7 (f) 16
f
What is the second biggest value in 0, 98, -1, -13/6?
0
What is the smallest value in 2, 0.8, -3/5, -51, -0.3?
-51
What is the smallest value in -4/5, -1/486, -2/27, -0.5?
-4/5
Which is the third biggest value? (a) -2/9 (b) 26359 (c) 0.5 (d) 3 (e) -2 (f) -4
c
What is the third biggest value in -1/9, 3/4, -9/4, -2/7, 3/2?
-1/9
What is the third biggest value in -4/5, -20514, -5/3?
-20514
What is the second biggest value in -2/11, 6, -57, -9489?
-2/11
Which is the third biggest value? (a) -2213 (b) -6 (c) -1
a
Which is the third biggest value? (a) -0.1 (b) -18168 (c) -1/4
b
Which is the second biggest value? (a) 6/61 (b) -5 (c) 539 (d) 5
d
Which is the third biggest value? (a) -14 (b) 193 (c) -1/2 (d) 0.1 (e) 0.2 (f) 1/3
e
Which is the second biggest value? (a) -0.5 (b) -174 (c) -0.4 (d) 5 (e) -0.2
e
What is the third biggest value in 3, -1.4758, -0.4, -0.2, -1, -2/17?
-0.2
Which is the third biggest value? (a) 4 (b) 222/47 (c) 3/5
c
Which is the second biggest value? (a) -1 (b) -5 (c) 5 (d) -0.05 (e) 0.037
e
What is the biggest value in 125, 2/37, -6, -1, -3/4?
125
Which is the second biggest value? (a) 0.09 (b) 3/1583 (c) 1
a
What is the smallest value in 11/7, -1, -6?
-6
Which is the second smallest value? (a) -1/5 (b) -15761 (c) -2/55 (d) -4
d
Which is the third biggest value? (a) 1.9 (b) 4/753 (c) 4
b
What is the third smallest value in -4, 4, 32/3, 3/61?
4
Which is the smallest value? (a) -5 (b) -0.2 (c) -1/3 (d) 5.6 (e) 1007
a
Which is the fifth smallest value? (a) -1/6 (b) -25 (c) 2 (d) 6/7 (e) 2/7
c
Which is the third biggest value? (a) 4 (b) -0.3 (c) 0.2 (d) 43 (e) -65 (f) 0.02
c
Which is the third smallest value? (a) -0.6 (b) 0 (c) -2 (d) 6 (e) -0.5
e
Which is the third biggest value? (a) 2 (b) -2 (c) 8 (d) 7 (e) 1/25
a
What is the second biggest value in -0.3, -109, 1.567?
-0.3
What is the second biggest value in 1/24, -116, -6/11?
-6/11
Which is the biggest value? (a) 0.4 (b) 0.5 (c) 6 (d) 1/14 (e) 0.3
c
Which is the third smallest value? (a) -1/14 (b) 16 (c) 6 (d) 5/3
c
Which is the second smallest value? (a) -0.1 (b) 10 (c) -4 (d) 4 (e) 1124
a
What is the third biggest value in 17, -1, 0.08, -1/4, -3/2?
-1/4
Which is the third smallest value? (a) 3/326 (b) 0.27 (c) -23
b
Which is the third biggest value? (a) 3/2 (b) 17 (c) -1.01 (d) 4 (e) -4 (f) -4/5
a
What is the fourth smallest value in -1.5, -3/5, -2/45, -4?
-2/45
Which is the third biggest value? (a) 1 (b) -428 (c) -3 (d) -0.1 (e) -5 (f) -0.2
f
Which is the third biggest value? (a) -5 (b) 1878 (c) -1
a
Which is the second biggest value? (a) 1/2 (b) -3 (c) 0.32 (d) 2 (e) 6
d
What is the fourth biggest value in -1/181, 1, -0.5, -4/5, -2?
-4/5
Which is the second smallest value? (a) 0.04007 (b) -1/2 (c) 4 (d) 146 (e) 2/7 (f) 5
a
What is the third biggest value in -4.4, 215, 7?
-4.4
What is the second biggest value in -12, 0.2, 0, -6, -569, -3/4?
0
What is the biggest value in -0.3, -3/5, -4, 235?
235
What is the second smallest valu | {
"pile_set_name": "DM Mathematics"
} |
Let r(w) = -4*w**3 + 5*w**2 + 6. Let a(c) = 5*c**3 - 6*c**2 - 7. Determine k*a(t) + 7*r(t).
2*t**3 - t**2
Let y = 7 + -5. Let q be 0 + -1 - 6/(-2). Let a(f) = -q*f**2 + f**2 + y*f**2. Let w(i) = -2*i**3 + 10*i**2 + 2*i. What is -10*a(t) + w(t)?
-2*t**3 + 2*t
Let y(s) = s - 4. Let u(h) = 21 - 39 + 16. Let v(p) = -p**2 + p + 4. Let b be v(3). Calculate b*y(d) + 3*u(d).
-2*d + 2
Let u(t) = 9 + 3*t - 11 - 3*t**2 - 4*t**2 + 5*t**2. Let x(n) = n**2 - n. Let z(f) = f**3 + f**2 - 1. Let c be z(1). Give c*u(i) + x(i).
-i**2 + 2*i - 2
Let f(o) = 170*o + 51. Let w(x) = 17*x + 5. Give -5*f(b) + 51*w(b).
17*b
Let a(l) = 4*l**2 - l + 5. Let c(j) = 13*j**2 - 4*j + 16. Give -7*a(s) + 2*c(s).
-2*s**2 - s - 3
Let u(z) = z + 1. Let x(v) = 3*v + 6. Let o = 11 - 4. Let k = o + -8. Give k*x(t) + 4*u(t).
t - 2
Let w(c) = 10*c + 7*c - 10*c. Let l(n) = 6*n + 1. Let a(i) = -5*l(i) + 4*w(i). Let x = 9 + -13. Let t(v) = 1. Determine x*t(k) - a(k).
2*k + 1
Let k(b) = b**3 + b**2 - b - 1. Let r(h) = -h**3 + 5*h**2 - 5*h - 5. What is -5*k(x) + r(x)?
-6*x**3
Let r(q) = 1. Let f(z) = -z**3 - 4*z**2 - 2*z - 5. Let o be f(-4). Let w(a) = o*a + 2*a - 6*a + 4. Give 6*r(x) - 2*w(x).
2*x - 2
Let m(t) be the second derivative of -3*t**4/4 - 2*t**2 - 5*t. Let y(r) = 8*r**2 + 3. Determine -3*m(s) - 4*y(s).
-5*s**2
Let w be 144/16*(-4)/6. Let i(o) = 9*o**3 - 11*o. Let b(d) = -d**3 - d. Let r(p) = 8*p**3 - 3*p. Let f(u) = 3*b(u) + r(u). Give w*i(k) + 11*f(k).
k**3
Let i(d) = -8*d**2 - 11*d - 15. Let p(h) = -2*h**2 - 3*h - 4. Let u(n) = -n**2 + 7*n - 28. Let s be u(6). Give s*p(m) + 6*i(m).
-4*m**2 - 2
Let w(t) be the second derivative of -4*t**3/3 + 3*t**2 - 2*t. Let p(m) = 7*m - 5. Let d = -16 - -22. Let q be ((-5)/(-4))/(1/4). What is d*p(o) + q*w(o)?
2*o
Let y(d) = -5*d + 9. Let x be -18 - (3 - 2 - 1). Let m(w) = -w**3 + 5*w**2 + 2*w - 6. Let v be m(5). Let u(h) = 15 - 25 + 12 - h. What is v*y(g) + x*u(g)?
-2*g
Let n(d) = -8*d**3 - 2*d**2 + 3*d - 2. Let l(b) = -b**2 + b - 1. Calculate 4*l(q) - 2*n(q).
16*q**3 - 2*q
Let b(w) = 5*w + 15. Let q(c) = -11*c - 31. Calculate -5*b(o) - 2*q(o).
-3*o - 13
Suppose 3*c - 41 = 13. Let p(m) = 8*m + 9. Suppose 5*l - f + 5 = -0*f, l - 5*f + 25 = 0. Let b = l - 2. Let g(j) = j + 1. Give b*p(h) + c*g(h).
2*h
Let a(c) = -c**3 + c**2. Let m(z) = -56*z**3 - 2*z**2. Give -2*a(i) - m(i).
58*i**3
Let w(h) = -h - 1. Suppose -5 = 2*t - 7*t. Suppose y - 4 = -t. Let i(x) = -x - 5. Calculate y*w(v) - i(v).
-2*v + 2
Let m(a) = -a**3 + 6*a**2 - 8*a - 6. Let p(j) = 2*j**3 - 17*j**2 + 23*j + 17. Determine -17*m(t) - 6*p(t).
5*t**3 - 2*t
Let q(u) = -7*u**2 - 3. Let f(o) be the second derivative of -2*o**4/3 - 2*o**2 + 23*o. Calculate -3*f(g) + 4*q(g).
-4*g**2
Let c(w) = 2*w - 15. Let h(r) = 2*r - 15. Give -3*c(t) + 4*h(t).
2*t - 15
Let a(z) = -4*z - 3*z**3 - z**3 - 2 + z**3. Let n be 0 + -1*1 - 0. Let q(y) = 3*y**3 + 1 + y - 2*y**3 + 2*y**3 - 2*y**3. Calculate n*a(i) - 2*q(i).
i**3 + 2*i
Let s(v) = -1. Let h(z) = -3*z + 3. Let q(j) = -j**3 - 4*j**2 - 4*j - 2. Let r be q(-2). Calculate r*s(w) - h(w).
3*w - 1
Suppose -2*n - 17*n + 57 = 0. Let w(u) = 4*u**2 + 2*u + 5. Let c(z) = 8*z**2 + 3*z + 9. Calculate n*c(a) - 5*w(a).
4*a**2 - a + 2
Let f(z) = -2*z - 5. Suppose 3*a - 4*s - 1 = 0, 0*a - 4*s - 9 = 5*a. Let y = a + -2. Let o(h) = -h - 3. Calculate y*f(i) + 5*o(i).
i
Let g(f) = 17*f**2 - 6. Let i(v) = 220*v**2 - 77. Calculate -77*g(d) + 6*i(d).
11*d**2
Let z(d) = 6*d**3 - 6*d + 6. Let b(i) = i - 1. Give 6*b(k) + z(k).
6*k**3
Let j(v) = -13*v**2 + 5*v + 17. Let r(o) = 3*o**2 - o - 4. Calculate -2*j(c) - 9*r(c).
-c**2 - c + 2
Let f(p) be the third derivative of -p**5/12 - p**4/24 + p**3/2 + 25*p**2. Let i(z) = 4*z**2 + z - 3. What is -3*f(g) - 4*i(g)?
-g**2 - g + 3
Let j = 5 + 0. Let h(l) = -l**3 + 5*l**2 + 5. Let w(a) = 2 + 2*a**2 - 5 + 5. Suppose 5*b - 27 = y, y = 5*y - 4*b + 28. Give j*w(m) + y*h(m).
2*m**3
Let l(g) = g + 1. Let x = -5 + 6. Let v(a) = 4*a + 7. Give x*v(h) - 5*l(h).
-h + 2
Let a(l) = 5*l**3 - 6*l**2 + 3*l. Let d(s) = -9*s**3 + 11*s**2 - 5*s + 1. Give -5*a(g) - 3*d(g).
2*g**3 - 3*g**2 - 3
Let c(b) = 18*b. Let q(s) = -9*s. Calculate -3*c(v) - 7*q(v).
9*v
Let q(u) = -u**3 - 2*u**2 + u + 1. Let v(p) = 3*p**3 + 5*p**2 - p - 1. What is 5*q(s) + 2*v(s)?
s**3 + 3*s + 3
Let x(w) be the third derivative of w**4/8 - w**2. Suppose -13 = 4*g - 5*d, -3*d + 0*d = 4*g - 27. Let k(l) = -2*l + g*l + l. Calculate -5*k(t) + 3*x(t).
-t
Let f(p) = p**2 + p + 1. Let k(a) = -8*a**2 - 3*a - 5. Calculate -5*f(i) - k(i).
3*i**2 - 2*i
Let r(q) = -q**3 + 3*q - 3. Let v(j) = -8*j - 10*j + 2*j**3 + 11*j + 7. Calculate 14*r(u) + 6*v(u).
-2*u**3
Let l(w) be the second derivative of 7*w**5/20 - w**4/12 - w**2/2 - 11*w. Let a(u) = -u**3 + u**2. Determine 5*a(k) + l(k).
2*k**3 + 4*k**2 - 1
Suppose 4*b + 4*a - 6 = 2, 0 = 5*b - 5*a - 20. Let j(t) = -7*t**3 + 2*t**2 - 3. Let f(n) = -13*n**3 + 4*n**2 - 5. Determine b*f(k) - 5*j(k).
-4*k**3 + 2*k**2
Let g(u) = u**3 - u**2 + u + 1. Let m(h) = 30*h**3 - 8*h**2 + 10*h + 10. Give -10*g(s) + m(s).
20*s**3 + 2*s**2
Let d(v) = 3*v**3 + 2*v**2 - 2*v + 2. Suppose -b = -3*b, -4*f + 3*b = -8. Let l(q) = -7*q**3 - 5*q**2 + 5*q - 5. Determine f*l(c) + 5*d(c).
c**3
Let t(l) = 2*l**3 - l**2 + 3*l + 8. Let z(h) = 3*h**3 - 2*h**2 + 4*h + 8. What is 4*t(g) - 3*z(g)?
-g**3 + 2*g**2 + 8
Let w(b) = 2*b**3 - 5*b**2 + b. Let j(t) = -t**3 + t**2. Let l(k) = -3*j(k) - w(k). Let i(c) = 3*c**3 + 7*c**2 - 3*c - 1. Calculate -2*i(z) + 7*l(z).
z**3 - z + 2
Let g(u) = -2*u**3 + 2*u**2 - 5*u + 11. Let w(t) = t**3 - t**2 + 2*t - 5. What is -2*g(o) - 5*w(o)?
-o**3 + o**2 + 3
Let v(f) = f**2 + f - 1. Let i(d) = 5*d**2 + 4*d - 38. Determine -i(j) + 3*v(j).
-2*j**2 - j + 35
Let k(r) = -r**2 - 1. Let m be (12/(-21))/((-2)/7). Let a(n) be the second derivative of -n**5/20 - n**4/12 - n**2 - 3*n. Determine m*k(j) - a(j).
j**3 - j**2
Let z(d) = 4*d - 9. Let j(n) = 7*n - 17. Calculate 3*j(o) - 5*z(o).
o - 6
Let b(s) = 5*s**2 + 2 + 10*s**3 + 6*s**3 + 5*s - 18*s**3. Let t(l) = -l**3 + 2*l**2 + 2*l + 1. What is 2*b(k) - 5*t(k)?
k**3 - 1
Let v(k) = 4*k**2 - 5*k + 5*k - 6. Let d(i) = 7*i**2 - 11. Let c(a) = a**3 + 6*a**2 - 9*a - 1. Let o be c(-7). Suppose o - 2 = -g. What is g*v(x) + 6*d(x)?
-2*x**2
Let s(f) = 5*f - 2. Let m(u) = u**2 + 21*u - 7. Let y(l) = 2*m(l) - 9*s(l). Let w(z) = -2*z**2 + 4*z - 5. What is -5*w(h) - 6*y(h)?
-2*h**2 - 2*h + 1
Let g be 3 + -3*(-2)/(-3). Let a(h) = h - 4. Let u(y) = 1. Give g*a(t) + 2*u(t).
t - 2
Let q(g) = -5*g**3 + 4*g**2 - 3*g. Let m(z) = 5*z**3 - 3*z**2 + 2*z. Calculate -3*m(h) - 2*q(h).
-5*h**3 + h**2
Let r(q) = q + 8. Let u be r(-5). Let l(w) = u*w - w + 0 - 5. Let s(f) = 1. Let n(k) = k**3 + 9*k**2 - 11*k - 5. Let y be n(-10). Give y*s(h) + l(h).
2*h
Suppose 4*c + 70 = 22. Let x(m) = 10*m - 2. Let d(a) be the third derivative of a**4/24 + a**2. What is c*d(r) + x(r)?
-2*r - 2
Let d(c) = 19*c - 1. Let y(u) = -5*u. Determine -2*d(z) - 9*y(z).
7*z + 2
Let w(d) = -8*d - 5. Let v(p) = p + 1. Calculate -4*v(b) - w(b).
4*b + 1
Let t(j) = 7*j**2 - 9. Let n(g) = -3*g**2 + 5. Give 5*n(r) + 2*t(r).
-r**2 + 7
Let k(p) = 46*p**2 - 26*p. Let t(v) = -45*v**2 + 27*v. Let c(n) = -6*k(n) - 5*t(n). Let f(a) = -4 - 2*a - 21*a**2 + 26*a**2 + 4. Calculate 2*c(q) + 21*f(q).
3*q**2
Let p(n) = 0 + 3 - 2 + n - 2*n. Let d(z) = -4*z + 6. Let r(s) = d(s) - 5*p(s). Let x(b) = -b - 1. Determine 2*r(j) + 3*x(j).
-j - 1
Let x(z) be the second derivative of -z**3/6 + z**2/2 - 3*z. Let h(u) = 4. Let a = -7 + 14. Suppose -5*d = 5, 4*j + a - 1 = -2*d. Determine j*h(n) + 2*x(n).
-2*n - 2
Let f = 3 - 16. Let d(v) = -4*v**2 - 5*v + 7. Let b(y) = 1 - 11*y + 5 + 9 - 9*y**2. Suppose 45 = 2*u + 3*u + 5*r, 0 = u + 5*r - 21. Calculate f*d(g) + u*b(g).
-2*g**2 - g - 1
Let c(k) = 4*k - 2. Let g(j) = -7*j + 3. Suppose 10*o - 15*o = -95. Let q = -14 + o. What is q*c(d) + 3*g(d)?
-d - 1
Let s(j) = 2*j**3 - 2*j**2 + 5*j. Let t = 3 + 0. Let o(m) = m - 2*m**3 - 5*m - 3*m**2 + 5*m**2. Let a = 11 + -7. Calculate a*o(y) + t*s(y).
-2*y**3 + 2*y**2 - y
Let b(h) = -8*h**2 + 5. Let l(i) = 9*i**2 - 4. Calculate 4*b(w) + 5*l(w).
13*w**2
Let s(d) = -d**3 + 4*d - 1. Let o(c) = -c**3 + 7*c - 2. Calculate -3*o(t) + 5*s(t).
-2*t**3 - t + 1
Let c(t) = 5. Let j(l) = -l - 11. Determine 5*c(n) + 2*j(n).
-2*n + | {
"pile_set_name": "DM Mathematics"
} |
/13 + 16 + (-2520)/182. Let p(z) = 10722 - 10721 - h*z + 6*z. Determine p(-3).
-11
Let b(o) = -o**2. Let i(c) = 8. Let x(m) = -2*b(m) - i(m). Suppose 24*p + s = -81, 0 = -p - s + 11 - 23. What is x(p)?
10
Let u(l) = 57*l**2 + 16*l - 62. Let w(a) = 556*a**2 + 159*a - 621. Let r(c) = -39*u(c) + 4*w(c). Give r(-19).
67
Suppose u - 6*u + 15 = 0. Let q(d) = 3 + d**2 - 1 - 5*d**2 + d + 2*d**2 - 5. Calculate q(u).
-18
Let p(y) = -y**3 + 7*y**2 - 10*y + 8. Let q(t) = 6*t**2 - 137*t + 116. Let r be q(22). Calculate p(r).
-16
Let h(k) be the third derivative of -k**5/60 + k**4/24 - 2*k**3 - 280*k**2 + 6*k - 2. What is h(-4)?
-32
Let p(s) = -s**3 + 7*s**2 - 6*s + 9. Let b be (-100)/(-18) - ((-1290)/(-135) + -10). Calculate p(b).
9
Let h(b) = -113*b**3 - 34*b**2 + 24*b + 129. Let q(a) = 22*a**3 + 7*a**2 - 5*a - 25. Let i(j) = 6*h(j) + 31*q(j). Give i(1).
5
Let u be (10/4)/(1255/(-2008)). Let k(j) = -j**3 - 13*j**2 - 37*j - 5. Determine k(u).
-1
Let l(d) = d**3 - 4*d**2 + d + 3. Suppose 9*g + q - 274 = 13*g, 4*g + 3*q + 282 = 0. Let v(n) = 3*n**2 - 6*n. Let b be v(6). Let t = b + g. Calculate l(t).
-3
Let m(o) = -3*o + 49. Let p = -11573 - -11588. Determine m(p).
4
Let g(v) be the first derivative of v**5/30 + v**4/3 + v**3 - 34*v**2 + 309. Let q(y) be the second derivative of g(y). What is q(-3)?
0
Let u = -107 + 109. Let z(w) = -23 - 6*w**u + 44 - 23 - w**3 + 2*w. Calculate z(-6).
-14
Let o(s) be the second derivative of -s**3/6 + 9*s**2/2 + s. Let n be (5*10/25)/((-462)/(-1617)). Determine o(n).
2
Suppose u - d = 9, 6*u = u - 4*d + 72. Let w be (-1 - u/(-3))*(41 - 0). Let c = -118 + w. Let x(t) = -2*t - 2. Give x(c).
-12
Let h(n) = 5*n**2 - 2*n - 103. Let i be h(5). Let m(c) = c**3 - 13*c**2 + 23*c - 127. Calculate m(i).
5
Suppose 4*w - 4*q = 36, -3*w - 4*q + 246 = 240. Let x(f) = -2*f**3 + 12*f**2 + 6*f - 5. What is x(w)?
31
Let y(c) = -2*c. Let x(z) = 4*z + 19. Let g(p) = 13*p + 59. Let o(h) = 2*g(h) - 7*x(h). Let l be o(-6). Calculate y(l).
6
Suppose 0 = -5*m + 2*v + 16, -m + 3 = -4*v - 11. Let w(c) = c**3 - 12*c + 9*c + 6*c**m - 4 - 6*c. Suppose -2*n - 4 = 2*j, -6*n + 5*j = -8*n + 11. Give w(n).
10
Let q(m) be the first derivative of m**3/3 + 33*m**2/2 + 75*m + 1083. Determine q(-30).
-15
Suppose -31 = 2*g - 33. Let q(p) be the second derivative of 17*p**3/3 - 39*p + 4. Determine q(g).
34
Let k(l) = -l**2 - 28*l - 195. Let i be k(-15). Let y(o) = 4*o - 41 - 3*o - 38 - o**3 + 77. What is y(i)?
-2
Let y(g) = -3*g**2 + 1. Let a be 10/8 - (-49)/(-196). Let i be (-1)/a*15/15. What is y(i)?
-2
Let v(w) = 646*w - 8 - 326*w - 321*w. Let f(s) = -s**2 + s - 7. Suppose -h = 6*h. Let u be f(h). Determine v(u).
-1
Let r(y) = 1 + 19*y + 4*y - 3. Let t(l) = -l**3 - 26*l**2 - 91*l - 68. Let j be t(-22). Determine r(j).
-48
Let u = 260 + -254. Let g(o) = 3*o**2 + 26 - 23 - 4*o**2 + u*o. Determine g(6).
3
Let t = -29 - -19. Let c = t - -13. Let b(q) = 0*q**2 + 3*q**2 + 4*q**2 + c - 2. Determine b(1).
8
Let a(f) = -16*f**3 + 2*f**2 - 5*f - 1. Suppose 3 = -12*p - 21. Let h(z) = 3*z**3 + z. Let b(d) = p*a(d) - 11*h(d). Determine b(-4).
6
Let d(c) = 2*c**3 + 6*c**2 + 5*c + 4. Let y(g) = -3*g**2 + 3*g + 2. Let v be y(2). Calculate d(v).
-48
Let u(y) = y**3 - 4*y**2 - 4*y - 7. Let m = 4141 + -4136. Determine u(m).
-2
Let v(f) be the second derivative of -1/20*f**5 - 3/2*f**2 + 0 - 7/12*f**4 - 2*f + 1/6*f**3. Let u(r) = r - 11. Let t be u(4). What is v(t)?
-10
Let r(d) = 9*d - 7. Let x(p) = -2*p. Let w(k) = r(k) + 5*x(k). Let a(y) = -y**2 + 9*y - 14. Let u be a(7). Let i be (2 + 1)*(-2 + u). Calculate w(i).
-1
Let r(j) = 3*j - 17. Suppose -2*k - b - 10 = 0, 4*k - 2*b - b + 10 = 0. Let q be (-25)/k + -1*(-9)/(-36). Determine r(q).
1
Let z(p) = 39*p**3 - p**2. Let n be 14/35 - ((-1993)/5 - 3). Let f = 403 - n. Determine z(f).
38
Let v(n) = n**3 + 8*n**2 - n - 5. Suppose -t + 0*t = 1, -4*t = -2*i - 12. Let b be v(i). Let f(y) = -y - 1. Calculate f(b).
-4
Suppose 67 = y + 2*i, i = 4*y + 2*i - 261. Let p(c) = -1 - 2 - y*c + 0 + 68*c + 3*c**2. Calculate p(-3).
15
Suppose -t = -8*t + 14. Let f(x) = -3*x**t + 0*x**3 + 6*x + 1139 - x**2 - x**3 - 1141. Determine f(-5).
-7
Suppose 4078 = 20*n + 3918. Let r(w) be the second derivative of -w**5/20 + 3*w**4/4 - 7*w**3/6 - 19*w**2/2 - 2*w. What is r(n)?
-11
Let z(d) = -9*d + 9. Let m(q) = -5*q + 5. Let j(k) = 5*m(k) - 3*z(k). Let i(b) = b**3 + 5*b**2 + 5*b + 1. Let w be i(-4). Give j(w).
-8
Let o be ((-12)/(-5))/(6/15). Let t(m) = -1. Let r(a) = -2*a**2 - 12*a + 3. Let n(u) = o*t(u) + r(u). Calculate n(-6).
-3
Let m(g) = -g**2 + 4*g + 9. Let d(l) = -2*l**2 + 9*l + 17. Let v(q) = -4*d(q) + 7*m(q). Let r(y) = -28*y - 778. Let x be r(-28). Give v(x).
-17
Let z(v) = 2*v**2 + 1. Suppose 0*x - 2*x + y = -98, 0 = -5*x - y + 252. Let a be ((-1)/(-2))/((-25)/x). Give z(a).
3
Suppose 0 = 5*o - 2*n - 10 - 1, -4*o = -2*n - 8. Suppose 0 = -5*x - 0 + 10. Let q(v) = -212 + 0*v**x + 210 - v**2 - 3*v + v**3. Give q(o).
7
Let b(d) be the second derivative of -d**3/3 + 19*d**2 - 136*d + 1. Give b(15).
8
Let l(f) = f**3 - 9*f**2 + 9*f + 7. Suppose -3*m = -8 - 1, 0 = 2*b + 5*m - 67. Suppose 0 = -5*w + 3*w - 2*t + b, 0 = -t + 5. Calculate l(w).
15
Let x = 82 - 80. Let t be (-422)/(-4) + x - 12/(-24). Let y(k) = 2 - 106*k**2 + 212*k**2 - k - t*k**2. Give y(-3).
-13
Let z(t) = 6*t**2 + 17*t + 1. Let b be z(-3). Let a(h) = -h + 23. Let q(m) = -13. Let c(n) = b*a(n) + 7*q(n). What is c(7)?
-27
Let x(p) be the first derivative of p**3/3 + 13*p**2/2 + 7*p - 4317. Determine x(-8).
-33
Let y(j) = 3*j - 10. Let o(l) = l - 3. Let r(q) = -7*o(q) + 2*y(q). Let c be r(-1). Let b(s) = 5*s**2 - 3*s + 2. What is b(c)?
16
Let f(r) be the first derivative of -r**3/6 + 3*r**2/2 - 35*r - 43. Let c(v) be the first derivative of f(v). What is c(5)?
-2
Let c = 223 - 223. Let x(r) be the third derivative of c + 1/60*r**5 - 5*r**2 + 0*r**4 + 19/6*r**3 + 0*r. Give x(0).
19
Suppose 0 = -5*f + 9*f - 2*d + 18, -2*d = 4*f + 30. Let t(p) = 2*p - 16. Let i(l) = 5*l - 33. Let s(b) = f*i(b) + 13*t(b). What is s(-4)?
6
Let y(t) = t - 6. Let o(f) = -2*f**3 + 11*f**2 + 6*f + 15. Let p be o(6). Suppose -p = 13*k - 171. Calculate y(k).
6
Let b(c) be the second derivative of 5*c**4/12 + c**3/6 - c**2 - 1960*c. Calculate b(1).
4
Let y = -75 + 105. Suppose 4*i + q - 24 = 0, -4*i - i - q = -y. Let j(u) = -4*u + u**2 - i + 0 + 4 - 2. Determine j(5).
1
Suppose 3*n = 2*d - 7, d = -2*d - 5*n + 39. Suppose -28 = -d*f + 4. Let g(i) = -5*i. Give g(f).
-20
Let g = -3829 - -3833. Let b(c) = -3*c**2 - 2*c - 10. Determine b(g).
-66
Let u(c) = -c**3 + 4*c**2 - 4*c + 3. Let j be (11 + -13 + 9)*20/7. Suppose -36 = -32*l + j*l. Calculate u(l).
0
Suppose 5*p + 7 = -4*s, -5*p - 4*s + 3*s = 13. Let g(j) = -5*j - 3. Let b be g(p). Let c(u) = 5*u**2 - u**3 + b - 114*u + 121*u - 4. Give c(6).
14
Let k = -18 + 25. Let q(n) = -n**3 + 8*n**2 - 14*n - 6. Let w be q(4). Let v(x) = 5*x**3 - k*x**w + 2*x**3 - 9*x**3 + x + 3*x**3 - 9. Give v(7).
-2
Let x(i) be the second derivative of 0 + 5/2*i**2 - 1/6*i**3 + 33*i. What is x(9)?
-4
Suppose 0 = -28*i + 24*i + 456. Let t = i + -80. Let v = t - 41. Let g(r) = -r - 3. Give g(v).
4
Let a(b) = -29*b**2 - 4*b + 22. Let o(c) = 6*c**2 - c - 2. Let d(s) = a(s) + 5*o(s). What is d(4)?
-8
Let c(i) = -248*i - 195. Let r(o) = 88*o + 65. Let w(x) = 6*c(x) + 17*r(x). Calculate w(9).
7
Let x(h) = 261*h + 229*h + 14*h**2 - 459*h + 3*h**3 - 2*h**3 - 2*h**3 + 13. What is x(16)?
-3
Let u(g) = -g**2 + 12*g + 95. Let p(m) = -29*m + 75. Let j be p(2). Determine u(j).
10
Let w(r) = -r**2 - 8*r - 16. Suppose 0 = 2*h + 4*p + 54, 2*h - 11*p + 13*p = -40. What is w(h)?
-81
Let g = -2 - -2. Let s(t) be the second derivative of t**4/12 + t**3/6 + 5*t**2/2 + t + 56. Give s(g).
5
Let q(t) = -13*t**3 + t**2 + 141*t + 140. Let m be q(-1). Let s(n) = -9*n + 129. What is s(m)?
12
Let u(x) be the first derivative of 7*x**2/2 + 75*x + 3170. What is u(-8)?
19
Let j(c) be the third derivative of -c**6/120 - 11*c**5/60 + c**4/4 + c**3 - 1378*c**2 + 2*c. What is j(-11)?
-60
Let y(z) = 28*z + 2061. Let x be y(-73). Let u(k) = k**3 - 17*k**2 - k + 11. What is u(x)?
-6
Let p(s) = 11*s**2 + 2*s + s**3 - 2 - 20*s**2 + 0*s + 14*s**2 + 9. Determine p(-5).
-3
Let t(d) be the first derivative of -d**5/10 + d**2/2 + 65*d + 12. | {
"pile_set_name": "DM Mathematics"
} |
9*g + 15*g - 2*d, 0 = 9*g + 5*d - d + 40 for g.
0
Solve -4*l - 4*y - 220 = 0, -1912*y - 110 = 3*l - 1920*y for l.
-50
Solve 4*m - 4*h = 16, 0 = 495*m - 586*m + h + 814 for m.
9
Solve -11*z + 16*z - 3*h - 557 = -473, -3*h - 9 = 0 for z.
15
Solve -2*l + 7*r - 8*r = -14*r + 15*r + 28, 0 = -3*r - 27 for l.
-5
Solve -5*o - 5396 = -84*r, 6*o - 2*o - 278*r - 112 = -280*r for o.
-4
Solve 11*o - 675 = -4*o - 12*o + 5*u, -5*o + 5*u + 125 = 0 for o.
25
Solve 2*k - 4*f + 8 = 0, -4*f + 21 + 24 - 62 = -4*k - 25 for k.
0
Solve -88*h + 42*h + 44*h = -5*v - 108, -67*h + 3943 = -5*v for v.
2
Solve -3*a + 3*v + 3 - 33 = 0, -4*a + 3*a + 1953 = -5*v + 1963 for a.
-10
Solve -6*q - 2*u + 5 + 3 = -3*q + 11, 0 = 3*u for q.
-1
Solve -168*o = 3*c - 173*o + 288, -c = 4*o - 227 for c.
-1
Solve 57 = -3*j + 4*m, 646*j + m - 38 = 648*j - m for j.
-19
Solve -4*v + 491838 = -3*o + 492098, 206 = 5*o - 2*v - v for o.
4
Solve 2233*b = -6*w + 2244*b - 42, -5*b = w - 3*b + 7 for w.
-7
Solve 2*n = -2*p + 88, 0 = 3*p - 2*n - 51418 + 51501 for p.
1
Solve 13*t - 3*j + 5*j + 91 = -2*j, -4*t - 3*j + 13 - 41 = 0 for t.
-7
Solve -4*h = -4*i + 152, -4*h + 2146 = -9*i + 2468 for i.
34
Solve -4*s - 4*z + 3*z + 66 = -0*z, 0 = 58*s - 93*s - 3*z + 566 for s.
16
Solve -3*j = 3*h + 2*h + 53, -21661*h + 21657*h - 77*j = 1236 for h.
-1
Solve 3*u + u + 39 - 35 = 2*u + 2*f, 137*u - 3*f + 810 = 0 for u.
-6
Solve -2628*t + 2632*t = 2*w - 72, 20*t - 2*w + 40 = 0 for t.
2
Solve i + 2 + 1 = 0, 24*j + 27*j + 0*i = 3*i - 807 for j.
-16
Solve 26 = 14*g - 18*g + 2*i, 2*g + 22 = -g + 2*i for g.
-4
Solve -10 = -4*l + 3*v, -767 = 4*l - 4*v - 3*v - 769 for l.
4
Solve -10080*p + 10084*p - 6*b + 40 = 0, -3*p - 15*b + 4 = -11*b for p.
-4
Solve -x + 19 = 4*p - 4*x, 157*p - x = 147*p + 41 for p.
4
Solve -8995379*j - 4*t = -8995377*j - 28, -j + 35 = 5*t for j.
0
Solve 2*b - 10*z = 2*b + 14*z - 29*z - 15, 5*b - 30*z = 365 for b.
55
Solve -26 = 9*x + 2*h, 5*x - 1169*h + 3496*h + 25 = 1161*h + 1167*h for x.
-4
Solve 4*h = 21*g + 6*h + 27, h + 4*h - 102 = 4*g for g.
-3
Solve -p - 8*d - 12 = -5*d, 119*p - 123*p - 2*d = 8 for p.
0
Solve 3*q - 700*x - 10 - 9 = -701*x, -5*x + 5 = -3*q for q.
5
Solve 2*h - 2*r - 48 = 0, 25522*h = 25519*h - 2*r - 23 for h.
5
Solve 0 = -10*t + 10*t + o + 3, -22*o + 27*o + 207 = -6*t for t.
-32
Solve 4*v + 83 = -p, -141 + 15 = 28*v + 2*p for v.
2
Solve -3*z - 50 + 26 + 45 = -2*j, -4*j + 5*z = z + 44 for j.
-12
Solve i - 6*q - 1 + 34 - 19 = 0, 5*i - 2*q = 14 for i.
4
Solve 2*y = -15*l + 2*l - 56, 3*y + 8 = -2*l - 6 for y.
-2
Solve -3470*j = -3467*j + 4*x - 23, -2*x + 412 = 46*j for j.
9
Solve 4*t = -2*c - 222, -279*c + 275*c - 43 = -4*t - 295 for c.
5
Solve 0 = 5*m + 4*g - 75, 483*g - 486*g + 12 + 39 = 4*m - 5 for m.
-1
Solve -2*w - 21*l - 40 + 80 = 198 + 220, 2*w + 2*l + 36 = 0 for w.
0
Solve 0 = -4*m - 255*c - 1481 - 7719, 2*m - 2*c - 62 = 0 for m.
-5
Solve -5*z = 3*k + 53, 4*k - k + 81 = 12*k - 9*z for k.
-1
Solve 0 = 5*k - 5*f + 7444 - 7489, -2*f = -k + 9 for k.
9
Solve 36*x - d + 4 + 3 = 38*x, 4*x + 3*x - 3*d = 5 for x.
2
Solve 29*r - 28*r - 21*f + 19*f - 14 = 0, 0 = -2*r - f - 12 for r.
-2
Solve 0 = -2*i - 4, -573*n + 64 = -578*n - 2*i for n.
-12
Solve 4*q - 3*q + 0*q - 3*n + 0*n = 0, -3*q - 2*q - 22*n + 185 = 0 for q.
15
Solve 3*q = -2*v + 15, -16*q - 30 = -21*q - q + 3*v for q.
5
Solve 320*n = -k - 958, -n + 2*k + 3 = -0*n + 6*k - k for n.
-3
Solve -6032*k + 4*q = -6035*k + 90 - 63 - 50, -q + 4 = 4*k for k.
3
Solve -3*b = 16*g - 785, 8475*g - 8471*g + 3*b - 185 = 0 for g.
50
Solve 3*n = 5099*h - 5104*h + 6, -n - 4*h = 5 for n.
7
Solve 257 = 7*v + 3*f, -121*f - 466 = v - 126*f - 101 for v.
5
Solve 8*o + 7058*f - 7061*f + 29 = 0, -2*f = 2 for o.
-4
Solve -v + 0*v + 3*x - 25 = 0, 6*v - x + 286 - 87 - 100 = 0 for v.
-16
Solve 2*q + 0*k = k + 22 - 12 + 19, 3*k = 26 - 119 for q.
-1
Solve 0*s - 4*s - 7*o = -36, 4*s + o + 1423 - 2864 = -1405 for s.
9
Solve 0 = -3*x + 5*y + 229, 38229*y = -4*x + 38233*y + 300 for x.
73
Solve 6*t - 243 = -5*p, -4*t - 2*p + 259 - 46 = 47 for t.
43
Solve 14*g + g - j = -13544 + 13625, 0 = -5*g + 3*j + 43 for g.
5
Solve -159*g - 3*v = -184*g + 794, -5*g - 2*v = -164 for g.
32
Solve -253*y - 32*m + 27*m = -999, -4*m + 2*m = 2*m - 192 for y.
3
Solve -2*p + 6*q - 48 - 20 = 0, q + 3 + 26 = 38 for p.
-7
Solve 6*x = -338*q + 339*q - 29, 28 = -2*x + 4*q for x.
-4
Solve 6 = 3*w, 4186*w + 65 = -3*s + 4181*w for s.
-25
Solve -2*n + 8 = -i, -i = 3*n + 424481 - 424493 for n.
4
Solve j - 10*t - t - 8 + 14 = 0, 0 = 16*j - 3*t - 77 for j.
5
Solve -6*a + 18 - 15 = -5*k - 69, 37*a - 24*k = -27*k + 241 for a.
7
Solve 4*p + 6363 = -h + 6366, -28*p = 4*h for h.
7
Solve f - 3 = -u, 0 = -3*u - 1204 + 1222 for f.
-3
Solve -5*q - 30 = 5*u - 5*u - 2*u + 21, 19*q + 161 = 4*q + 7*u for q.
-7
Solve -3*n + 10439 = -2*x + 10431, 5*n + 24*x + 14 = 0 for n.
2
Solve 5*s + 260*v - 124 = -305*v + 524*v, -3*s = -4*v + 40 for s.
-8
Solve 175141*p + 23 = 175139*p + 3*b, -39 = 4*p - 5*b for p.
-1
Solve -j = 1863*b - 1866*b + 8, 0 = 2*b + 23*j + 42 for b.
2
Solve -14*g = -28, -8*p + 7*p + 2*g - 514 = 4*g - 529 for p.
11
Solve 0 = 3*o - 144*p + 134*p - 3 - 27, 3*o = 4*p + 12 for o.
0
Solve 4*q + 125*c - 4 = -q + 127*c, -c - 2 = 107*q for q.
0
Solve 2*o + 2*x + 110 = -30*x, -2*x + 2 = -12*o + 11*o + 1 for o.
-7
Solve -160827*g - 9 = 3*z - 160831*g, 3*z = -5*g + 45 for z.
5
Solve 22*p + 22 = -4*a, 3*a = -15406*p + 15410*p + 45 for a.
11
Solve 0 = t + 21*h - 251 + 315, -6*h = 4*t + 22 for t.
-1
Solve 0 = i + 2*o + 16, 11*i - 3063 = -o - 3071 for i.
0
Solve -5*s - k - 831 + 783 = 0, -12 = 2*s + 4*k for s.
-10
Solve -5*v + 0*v + 0 = -5*v + 8*r - 376, 0 = 16*v + 4*r - 156 for v.
-2
Solve 3*q - 5 = -t, -49*q + 12*q = -t - 27 - 48 for q.
2
Solve -11*n + 6*w - 21*w = 23*w + 44, 5*n + 20 = -5*w - 0*w for n.
-4
Solve 64*z - 2*b + 19 = 63*z, -33*z + 47*z + 2*b = -296 for z.
-21
Solve -25*s + 2*k = 86, -12*s - 10*s + 13 = -20*s - 3*k for s.
-4
Solve -3*q = -12, 7602*x - 7599*x + 5*q - 20 = 0 for x.
0
Solve -h - 3*m + 16 = 0, -m + 42 = -1655651*h + 1655655*h for h.
10
Solve -7*l - 5*q + 77 - 35 - 30 = 0, 0 = -2*l + 19*q - 160 for l.
-4
Solve -5*k + 835 = -33*o, 9*k - 13*k = 4*o + 92 for k.
2
Solve u - 12*u + 206 = -5*m, m - 4*u = 3272 - 3351 for m.
5
Solve 131*d + 3*u = 128*d + 15, 21*d + 34*u - 105 = 31*u for d.
5
Solve -149*f + 147*f - 7 = 3*q, 3*q = -3*f + 4*q + 6 for f.
1
Solve -11*p = -5*f + 7887 - 7954, p - 13 = -3*f for p.
7
Solve 4*o = 4*c + 180, 1079*o + 4*c + 220 = 1084*o for o.
40
Solve 11*m = -c - 0*m - 6, c = -3*c - 311*m + 314*m - 24 for c.
-6
Solve 30 = 2*c, -6*c + 53 = a - 36 + 35 - 33 for a.
-3
Solve -28*g = -418*g + 780, 3*u - 6*u - 2*u - 160 = 5*g for u.
-34
Solve w = -w - 2*l - 10, -86*w - 30 = -81*w - l - 47 for w.
2
Solve -93*w = -4*h + 2588, 26*w - 51*w + 12 = 4*h - 26*w for h.
-4
Solve 5*g + 2*w - 16 = 0, g + 10 = 139893*w - 139889*w for g.
2
Solve 0 = -5*u - 5*q - 105, 0 = 132*q - 62*q - 67*q + 6 for u.
-19
Solve 2*b = 4*h + 22, -381*h + 377*h = 2*b + 2 for h.
-3
Solve 0 = 49*m - 3*v + 144 - 689, 2*m = -0*m + 3*v + 28 for m.
11
Solve -11*k - 65 = 812*l - 816*l, -2*l = -k + 9*l - 91 for k.
-3
Solve 0 = 977*y - 983*y + 30, 3*i = -7*y - 0*y + 56 for i.
7
Solve 55*q + 3*f + 816 = 0, -2*q - 6737 = -3*f - 6698 for q.
-15
Solve 36*n - 41*n + 188 = -33*y, 4 = y - 3*y + 4*n for y.
-6
Solve -10*i + 0*i = -4*g - 320, -i + 49 = 3*g for g.
5
Solve 392*b - 9 = -2*f + 390*b + 1, 5*f - 3*b - 9 = 0 for f.
3
Solve 0 = 4*c + l + 10, 286*c = 145*c + 143*c - 2*l for c.
-2
Solve 35 = -106*z + 110*z + s, -2*z - 6*s + 274 = 4*s for z.
2
Solve 0*b - b - 34 = 0, -35*p + 38 = -31*p - b for p.
1
Solve 10*w + 16*u - 203 = -449, 8*w - 3*w + 4*u + 119 = 0 for w.
-23
Solve 2*c + n = -710 + 715, -4*c + 5*n + 14 = 11*n for c.
2
Solve 5*v = 3*a - 80, 2792*v = 4*a + 2787*v - 115 for a.
35
Solve -1281*a - 26*r = -1282*a + 5, -3*a = 4*r - 15 for a.
5
Solve 2 = -g, 5*w = 217166*g - 217163*g + 26 for w.
4
Solve 0 = -d + 184*h - 180*h - 19, -h - 29 = 2*d for d.
-15
Solve -5*s = -3*t + 48509 - 48249, 0 = 4*s - 2*t + 172 for s.
2
Solve -6*h - 1281*m = -1280*m - 34, 4*h = 4*m + 32 for h.
6
Solve 2*y - 214 = 7*t - 154, -5*t - 180 = 26*y for t.
-10
Solve 268*j + 2*o + 86 = 272*j, 52 = 2*j - 4*o for j.
20
Solve 1012*p - m = 1001*p - 106, -4* | {
"pile_set_name": "DM Mathematics"
} |
7, 13, 167
List the prime factors of 79882.
2, 11, 3631
What are the prime factors of 622743?
3, 11, 113, 167
What are the prime factors of 22834852?
2, 199, 28687
List the prime factors of 8117092.
2, 17, 79, 1511
List the prime factors of 652695.
3, 5, 53, 821
What are the prime factors of 5433294?
2, 3, 47, 19267
What are the prime factors of 5659475?
5, 226379
List the prime factors of 161172.
2, 3, 11, 37
What are the prime factors of 47508?
2, 3, 37, 107
What are the prime factors of 1641706?
2, 11, 74623
List the prime factors of 2671995.
3, 5, 53, 3361
List the prime factors of 1679842.
2, 839921
What are the prime factors of 10543484?
2, 7, 61, 6173
What are the prime factors of 1766954?
2, 7, 126211
What are the prime factors of 56757?
3, 18919
What are the prime factors of 10623487?
7, 17, 89273
What are the prime factors of 14522057?
11, 120017
What are the prime factors of 166327?
7, 23761
List the prime factors of 214079.
97, 2207
What are the prime factors of 1552553?
1552553
What are the prime factors of 309417?
3, 17, 6067
List the prime factors of 2551990.
2, 5, 7, 36457
What are the prime factors of 53240?
2, 5, 11
What are the prime factors of 328626?
2, 3, 18257
What are the prime factors of 2251385?
5, 450277
What are the prime factors of 9349078?
2, 29, 359, 449
What are the prime factors of 392501?
389, 1009
List the prime factors of 183900.
2, 3, 5, 613
What are the prime factors of 33045?
3, 5, 2203
What are the prime factors of 1147969?
1147969
What are the prime factors of 265786?
2, 132893
List the prime factors of 14432197.
13, 349, 3181
List the prime factors of 832195.
5, 7, 13, 31, 59
What are the prime factors of 125439?
3, 41813
List the prime factors of 1239760.
2, 5, 15497
List the prime factors of 1296161.
19, 68219
What are the prime factors of 1232267?
421, 2927
What are the prime factors of 351776?
2, 10993
List the prime factors of 43979164.
2, 10994791
List the prime factors of 686111.
29, 59, 401
List the prime factors of 7509141.
3, 239, 3491
What are the prime factors of 303861?
3, 101287
List the prime factors of 139724.
2, 13, 2687
List the prime factors of 1110324.
2, 3, 67, 1381
List the prime factors of 7555064.
2, 11, 85853
List the prime factors of 3844537.
3844537
List the prime factors of 219138.
2, 3, 36523
What are the prime factors of 225701?
7, 19, 1697
What are the prime factors of 7160743?
7160743
List the prime factors of 19460920.
2, 5, 17, 28619
List the prime factors of 26711195.
5, 7, 157, 4861
List the prime factors of 6478519.
6478519
List the prime factors of 26295085.
5, 1283, 4099
What are the prime factors of 7747091?
11, 704281
List the prime factors of 796073.
281, 2833
List the prime factors of 27877311.
3, 7, 11, 23, 53
List the prime factors of 218203.
113, 1931
List the prime factors of 284504.
2, 11, 53, 61
List the prime factors of 8619450.
2, 3, 5, 7, 8209
List the prime factors of 225404.
2, 37, 1523
List the prime factors of 90958.
2, 7, 73, 89
What are the prime factors of 10716?
2, 3, 19, 47
List the prime factors of 724227.
3, 7, 34487
What are the prime factors of 235585?
5, 7, 53, 127
List the prime factors of 676545.
3, 5, 23, 37, 53
List the prime factors of 13860621.
3, 97, 15877
List the prime factors of 1434269.
67, 21407
List the prime factors of 5518091.
23, 29, 8273
List the prime factors of 135111.
3, 29, 1553
What are the prime factors of 1812136?
2, 31, 7307
List the prime factors of 489761.
489761
What are the prime factors of 316592?
2, 47, 421
What are the prime factors of 1687994?
2, 7, 11, 97, 113
What are the prime factors of 6629813?
17, 389989
What are the prime factors of 11811?
3, 31, 127
List the prime factors of 4458775.
5, 178351
What are the prime factors of 4704179?
4704179
What are the prime factors of 120661?
120661
What are the prime factors of 780906?
2, 3, 7, 18593
List the prime factors of 104727.
3, 7, 4987
List the prime factors of 410696.
2, 11, 13, 359
List the prime factors of 23463.
3, 11, 79
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3, 431, 5309
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2, 79, 89
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3, 163, 317
List the prime factors of 243883.
47, 5189
List the prime factors of 3265437.
3, 7, 131, 1187
What are the prime factors of 2138311?
7, 17, 151
List the prime factors of 43064348.
2, 1523, 7069
What are the prime factors of 539977?
197, 2741
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2, 7, 641
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3, 13, 7333
List the prime factors of 308505.
3, 5, 131, 157
List the prime factors of 3265886.
2, 13, 59, 2129
What are the prime factors of 1445308?
2, 361327
What are the prime factors of 18336696?
2, 3, 7, 109147
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2, 11, 196247
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2, 3, 32563
What are the prime factors of 1033296?
2, 3, 11, 19, 103
What are the prime factors of 3138690?
2, 3, 5, 104623
What are the prime factors of 5770214?
2, 2885107
What are the prime factors of 605704?
2, 11, 6883
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233, 5881
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29, 43, 347
List the prime factors of 90068.
2, 11, 23, 89
What are the prime factors of 795069?
3, 11, 2677
What are the prime factors of 202421?
71, 2851
List the prime factors of 7831298.
2, 167, 23447
List the prime factors of 298026.
2, 3, 5519
List the prime factors of 530092.
2, 132523
List the prime factors of 4026561.
3, 7, 11, 17431
What are the prime factors of 956839?
13, 89, 827
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3, 13, 1699
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2, 3, 19, 373
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2, 61, 1459
List the prime factors of 1279986.
2, 3, 383, 557
What are the prime factors of 14664017?
3719, 3943
What are the prime factors of 260527?
260527
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2, 5, 23, 59
List the prime factors of 108448.
2, 3389
List the prime factors of 2374141.
7, 11, 2803
List the prime factors of 2568702.
2, 3, 127, 3371
What are the prime factors of 400779?
3, 44531
What are the prime factors of 27314615?
5, 5462923
List the prime factors of 464128.
2, 7, 37
List the prime factors of 471887.
13, 36299
List the prime factors of 600605.
5, 120121
What are the prime factors of 920588?
2, 19, 12113
What are the prime factors of 15457984?
2, 41, 43, 137
List the prime factors of 527143.
527143
What are the prime factors of 6816035?
5, 1363207
What are the prime factors of 5704806?
2, 3, 31, 30671
What are the prime factors of 72259?
11, 6569
What are the prime factors of 254982?
2, 3, 7, 13, 467
What are the prime factors of 92869?
7, 13267
What are the prime factors of 691602?
2, 3, 73, 1579
List the prime factors of 244501.
139, 1759
What are the prime factors of 405330?
2, 3, 5, 59, 229
What are the prime factors of 492816?
2, 3, 10267
List the prime factors of 19977588.
2, 3, 19, 29207
What are the prime factors of 2090115?
3, 5, 46447
List the prime factors of 2733939.
3, 13, 7789
List the prime factors of 36859.
29, 31, 41
What are the prime factors of 347730?
2, 3, 5, 67, 173
What are the prime factors of 2350077?
3, 783359
What are the prime factors of 817680?
2, 3, 5, 3407
What are the prime factors of 1695754?
2, 97, 8741
What are the prime factors of 160276?
2, 17, 2357
List the prime factors of 2696041.
277, 9733
List the prime factors of 3585392.
2, 331, 677
What are the prime factors of 57209?
19, 3011
What are the prime factors of 195888?
2, 3, 7, 11, 53
What are the prime factors of 7891857?
3, 29, 10079
What are the prime factors of 364662?
2, 3, 2251
What are the prime factors of 8302?
2, 7, 593
What are the prime factors of 20003515?
5, 7, 81647
List the prime factors of 783092.
2, 137, 1429
What are the prime factors of 208660?
2, 5, 10433
List the prime factors of 938039.
41, 137, 167
What are the prime factors of 76271?
13, 5867
What are the prime factors of 201875?
5, 17, 19
What are the prime factors of 835314?
2, 3, 23, 6053
What are the prime factors of 7809909?
3, 947, 2749
What are the prime factors of 378817?
378817
What are the prime factors of 205685?
5, 31, 1327
What are the prime factors of 788106?
2, 3, 11, 11941
What are the prime factors of 13537?
13537
What are the prime factors of 45 | {
"pile_set_name": "DM Mathematics"
} |
6?
2, 3, 277, 599
What are the prime factors of 2252773?
19, 139, 853
List the prime factors of 608955.
3, 5, 40597
List the prime factors of 12258294.
2, 3, 127, 16087
List the prime factors of 248149.
11, 17, 1327
List the prime factors of 228929.
228929
What are the prime factors of 3383937?
3, 41777
List the prime factors of 46135.
5, 9227
List the prime factors of 318424.
2, 53, 751
What are the prime factors of 236423?
11, 21493
List the prime factors of 3838611.
3, 7, 26113
List the prime factors of 3850.
2, 5, 7, 11
What are the prime factors of 332668?
2, 7, 109
List the prime factors of 2369692.
2, 13, 199, 229
What are the prime factors of 301456?
2, 83, 227
What are the prime factors of 234190?
2, 5, 11, 2129
List the prime factors of 797912.
2, 17, 5867
What are the prime factors of 8276667?
3, 7, 73, 5399
What are the prime factors of 1257727?
157, 8011
What are the prime factors of 539630?
2, 5, 7, 13, 593
List the prime factors of 255910.
2, 5, 157, 163
List the prime factors of 185010.
2, 3, 5, 7, 881
What are the prime factors of 933416?
2, 11, 10607
What are the prime factors of 2356126?
2, 137, 8599
List the prime factors of 188171.
188171
What are the prime factors of 9372008?
2, 241, 4861
List the prime factors of 906954.
2, 3, 71, 2129
List the prime factors of 241691.
241691
List the prime factors of 8661366.
2, 3, 7, 53, 1297
List the prime factors of 38415377.
7, 11, 13, 38377
List the prime factors of 72952.
2, 11, 829
What are the prime factors of 95783?
95783
List the prime factors of 12596960.
2, 5, 131, 601
What are the prime factors of 334785?
3, 5, 11, 2029
What are the prime factors of 1590851?
19, 101, 829
List the prime factors of 4290579.
3, 17, 29, 967
List the prime factors of 6961239.
3, 19, 40709
What are the prime factors of 20534073?
3, 7, 977813
List the prime factors of 3842236.
2, 71, 83, 163
List the prime factors of 2700146.
2, 1350073
What are the prime factors of 13293?
3, 7, 211
List the prime factors of 2581893.
3, 41, 6997
List the prime factors of 644041.
47, 71, 193
List the prime factors of 4488438.
2, 3, 181, 4133
What are the prime factors of 1256176?
2, 78511
What are the prime factors of 19728586?
2, 31, 318203
List the prime factors of 4998722.
2, 647, 3863
List the prime factors of 1253416.
2, 156677
List the prime factors of 9830770.
2, 5, 191, 5147
What are the prime factors of 40242533?
40242533
List the prime factors of 399735.
3, 5, 7, 47
List the prime factors of 8275110.
2, 3, 5, 275837
What are the prime factors of 2858792?
2, 357349
List the prime factors of 30278627.
1459, 20753
List the prime factors of 424677.
3, 11, 17, 757
What are the prime factors of 106580?
2, 5, 73
What are the prime factors of 580801?
13, 43, 1039
List the prime factors of 3524622.
2, 3, 587437
What are the prime factors of 985511?
19, 51869
List the prime factors of 22376.
2, 2797
List the prime factors of 497598.
2, 3, 239, 347
List the prime factors of 7320186.
2, 3, 135559
List the prime factors of 19831522.
2, 83, 193, 619
List the prime factors of 2125516.
2, 691, 769
What are the prime factors of 194727?
3, 13, 4993
List the prime factors of 10233333.
3, 11, 9397
What are the prime factors of 796367?
11, 13, 5569
List the prime factors of 15958273.
31, 514783
What are the prime factors of 6043258?
2, 13, 232433
What are the prime factors of 61124?
2, 7, 37, 59
What are the prime factors of 413019?
3, 5099
What are the prime factors of 946596?
2, 3, 7, 59, 191
What are the prime factors of 147698?
2, 73849
What are the prime factors of 8923792?
2, 443, 1259
What are the prime factors of 9693146?
2, 43, 269, 419
What are the prime factors of 6229273?
419, 14867
What are the prime factors of 5724343?
397, 14419
List the prime factors of 234128.
2, 14633
List the prime factors of 11248047.
3, 887, 1409
List the prime factors of 1915096.
2, 239387
List the prime factors of 10760823.
3, 398549
List the prime factors of 431557.
7, 61651
What are the prime factors of 34634271?
3, 7, 1649251
What are the prime factors of 37136520?
2, 3, 5, 43, 2399
List the prime factors of 1664626.
2, 59, 14107
List the prime factors of 1764368.
2, 110273
What are the prime factors of 329718?
2, 3, 179, 307
What are the prime factors of 441506?
2, 13, 16981
List the prime factors of 424690.
2, 5, 7, 6067
List the prime factors of 2455012.
2, 7, 87679
What are the prime factors of 485660?
2, 5, 7, 3469
List the prime factors of 77084.
2, 7, 2753
List the prime factors of 3654830.
2, 5, 17, 21499
What are the prime factors of 17517076?
2, 23, 190403
List the prime factors of 574036.
2, 143509
What are the prime factors of 769476?
2, 3, 64123
What are the prime factors of 5641?
5641
What are the prime factors of 6159612?
2, 3, 37, 13873
What are the prime factors of 1678177?
83, 20219
What are the prime factors of 4566942?
2, 3, 9397
What are the prime factors of 3983489?
241, 16529
What are the prime factors of 1240417?
29, 42773
List the prime factors of 2148.
2, 3, 179
List the prime factors of 1206869.
1206869
List the prime factors of 137781.
3, 7
List the prime factors of 710536.
2, 88817
List the prime factors of 13584592.
2, 7, 121291
List the prime factors of 11802610.
2, 5, 19, 62119
What are the prime factors of 5839?
5839
List the prime factors of 166022.
2, 17, 19, 257
What are the prime factors of 30340208?
2, 1896263
What are the prime factors of 92788?
2, 23197
List the prime factors of 20608.
2, 7, 23
What are the prime factors of 2250877?
47, 83, 577
List the prime factors of 14065100.
2, 5, 7, 71, 283
List the prime factors of 4219854.
2, 3, 703309
List the prime factors of 2117472.
2, 3, 7, 23, 137
What are the prime factors of 5630709?
3, 7, 73, 3673
What are the prime factors of 18106074?
2, 3, 7, 143699
What are the prime factors of 331843?
331843
What are the prime factors of 312512?
2, 19, 257
List the prime factors of 5509376.
2, 21521
List the prime factors of 3436067.
3436067
List the prime factors of 421015.
5, 7, 23, 523
What are the prime factors of 165036?
2, 3, 17, 809
What are the prime factors of 171848?
2, 21481
What are the prime factors of 37149?
3, 7, 29, 61
What are the prime factors of 2832058?
2, 1416029
What are the prime factors of 3969846?
2, 3, 23, 43, 223
What are the prime factors of 199080?
2, 3, 5, 7, 79
List the prime factors of 125727.
3, 7, 5987
List the prime factors of 6536230.
2, 5, 653623
List the prime factors of 5107818.
2, 3, 851303
What are the prime factors of 40702?
2, 47, 433
List the prime factors of 445349.
17, 23, 67
What are the prime factors of 123992?
2, 11, 1409
List the prime factors of 2150075.
5, 17, 5059
What are the prime factors of 103792?
2, 13, 499
What are the prime factors of 296161?
73, 4057
List the prime factors of 335882.
2, 19, 8839
What are the prime factors of 299276?
2, 23, 3253
What are the prime factors of 1756077?
3, 43, 13613
List the prime factors of 7634008.
2, 83, 11497
List the prime factors of 296009.
7, 863
What are the prime factors of 147608?
2, 18451
What are the prime factors of 2417272?
2, 11, 13, 2113
What are the prime factors of 308101?
308101
List the prime factors of 4228207.
41, 281, 367
What are the prime factors of 4451613?
3, 73, 20327
List the prime factors of 363929.
23, 15823
List the prime factors of 9322.
2, 59, 79
List the prime factors of 388623.
3, 281, 461
What are the prime factors of 454409?
454409
List the prime factors of 532758.
2, 3, 88793
What are the prime factors of 17648?
2, 1103
What are the prime factors of 1022288?
2, 181, 353
List the prime factors of 11324214.
2, 3, 11, 57193
List the prime factors of 140208.
2, 3, 23, 127
What are the prime factors of 155481?
3, 51827
What are the prime factors of 337365?
3, 5, 7, 17
What are the prime factors of 9017073?
3, 13, 77069
List the prime factors of 1220490.
2, 3, 5, 71, 191
What are the prime factors of 12492665?
5, 79, 31627
What are the prime factors of 1002276?
2, 3, 11, 2531
What are the prime factors of 661389?
3, 113, 1951
What are the prime factors of 45448?
2, 13, 19, 23
What are the prime factors of 72485?
5, 7, 19, 109
What are the prime factors of 619569?
3, 7649
What are the prime factors of 1372489?
101, 107, 127
List t | {
"pile_set_name": "DM Mathematics"
} |
-7/6. Suppose -v - 11 = -0*z + 5*z, -3*z = -3*v + 21. Let x be v/(-6) - 57/(-45). Put x, -2, q in increasing order.
-2, q, x
Let l = 67 - 67.3. Sort l, -2/25, 1/2, 1 in decreasing order.
1, 1/2, -2/25, l
Suppose -2 = 3*b + 1. Let d be 165/(-35) + 4/(-14). Sort d, b, 3.
d, b, 3
Let k(s) = -s + 15. Let h be k(11). Let o(z) = -z**3 + 5*z**2 - 3*z. Let m be o(h). Suppose y = m*y + 3. Put 3, -2, y in increasing order.
-2, y, 3
Suppose 0 = -5*s + 7*s + 6. Sort 5, s, 1 in descending order.
5, 1, s
Suppose -r - 16 = 4*r + 3*j, -4*r = -4*j. Put 2, -3, r in decreasing order.
2, r, -3
Let i = -13 + 21. Sort -4, 0, i in descending order.
i, 0, -4
Suppose -4*l - 20 = 0, 2*x - 2*l - 15 = 3*l. Let b be x/(-10) - 3/(-2). Sort b, -2, -3 in descending order.
b, -2, -3
Let m be (-2)/((-4)/(-2)) + -4. Let v = 0.02 + -0.42. Sort v, -2/9, m.
m, v, -2/9
Let x = -0.08 + 0.28. Put x, 1, -3, 1/2 in ascending order.
-3, x, 1/2, 1
Suppose 0 = -4*f + 7 - 19. Let m be 3 + (0 - (-75)/(-27)). Sort 3, m, f.
f, m, 3
Let t = 1.01 - 1.04. Sort 5/3, 2, t in decreasing order.
2, 5/3, t
Suppose 2 = -2*t - 4*u, -4 = -4*t + 2*t - u. Put 2, -2, t in ascending order.
-2, 2, t
Let z = -8 + 14. Suppose -z*c = -c. Suppose -5*f + 24 = f. Sort f, 5, c.
c, f, 5
Let z = 2 + -1.8. Let t = -0.7 + z. Let m = 237/5 - 47. Sort t, -4, m in decreasing order.
m, t, -4
Let d(u) be the third derivative of -u**5/12 + u**4/24 - u**3/6 + 7*u**2. Let q be d(1). Let h = -7 - -12. Sort h, q, 4.
q, 4, h
Let i = 10 - 8. Let a be (0 - -1)*(0 + -4). Sort i, -2, a in decreasing order.
i, -2, a
Let f be (4/6)/((-2)/(-6)). Suppose 4*h + 5*y + 11 = 0, 0 = -h + 5*h - y + 17. Put f, -2, h in descending order.
f, -2, h
Let y be ((-2)/(-3))/(3 + 52/(-18)). Put -5, y, -2/3 in increasing order.
-5, -2/3, y
Let l(q) = 5*q. Let b be l(1). Sort 1/5, b, -1 in increasing order.
-1, 1/5, b
Let j be 6/(-2 + 5 + -1). Suppose -4*t = q - j*t - 22, -2*t = -5*q + 131. Suppose 2*g + q = 7*g. Sort 4, g, -5 in descending order.
g, 4, -5
Let s(a) = -2*a**3 - 3*a**2 - 7*a + 8. Let n(l) = l**3 + 2*l**2 + 4*l - 4. Let p(x) = 7*n(x) + 4*s(x). Let r be p(3). Sort r, -1, 2 in descending order.
2, -1, r
Let c = 0.01 + 1.19. Let f = c + -1.2. Sort -5, f, 0.5 in increasing order.
-5, f, 0.5
Let j be (-2 + 8/3)*-3. Let n be ((-1)/(-2))/((-13)/(-26)). Let i = j + n. Sort i, 2, 3 in descending order.
3, 2, i
Let o(g) = -g**2 + 8*g + 2. Let y be o(7). Suppose -34 = 5*d - y. Put -3, -4, d in descending order.
-3, -4, d
Suppose -o = -30 + 29. Sort 5, 2, 6, o in descending order.
6, 5, 2, o
Let j = 4 + -5. Let u be j*((-5)/2 + 2). Let y = -6 + 5. Sort y, u, -2/5.
y, -2/5, u
Suppose -2*z - 3*z = 25. Let q be (-39)/13*(-8)/6. Put q, z, 1 in decreasing order.
q, 1, z
Let p = 0.1 + -0.3. Let y = p - 0.2. Suppose 5*x + 21 = 6. Put y, x, 5 in decreasing order.
5, y, x
Let x = -167 - -167. Sort x, -2, -8/7.
-2, -8/7, x
Let v be (6/(-24))/(1/(-44)). Let j = 13 - v. Suppose 3*w + 14 = -0*w + g, -5*w = -5*g + 40. Sort j, w, 3.
w, j, 3
Suppose 19 = -5*y - c, -2*y + c = 3*y + 11. Put -5, y, 1 in increasing order.
-5, y, 1
Let m = -24.6 - -25. Let d = 0 - 0. Let j = d - -1. Put j, -2, m in increasing order.
-2, m, j
Let n = 9.8 - -1.2. Let o = n + -11.5. Put -3/7, -4, o in decreasing order.
-3/7, o, -4
Let m be (0 + 0)*(2 - 3). Put m, -20, -1 in decreasing order.
m, -1, -20
Suppose 3*f = 5*b - 8 - 23, -4*b = -3*f - 26. Let w(m) = -m. Let l be w(-3). Suppose -3*t - y = 17, 5*y + 10 = l*y. Sort t, b, -3 in descending order.
b, -3, t
Suppose -3*b + 2*d = 2, -2*b - d + 12 = 2*b. Put 1/8, b, -5 in decreasing order.
b, 1/8, -5
Let j = -3 - -8. Let y(h) = 5*h + 13. Let p be y(-2). Let f be ((-2)/4)/(2/12). Put p, j, f in decreasing order.
j, p, f
Let b = 8 - 10. Let j = -5 + 9. Let x = -3 + 3. Put b, x, j in decreasing order.
j, x, b
Let w be 1 + 2*(-1 - 1). Sort -12, w, 0 in decreasing order.
0, w, -12
Suppose -2*f + 5*f = m - 24, -3*f + 66 = 5*m. Suppose 7*n = 2*n - m, -4*n + 6 = 3*d. Sort d, -4, 0.1 in descending order.
d, 0.1, -4
Suppose 5*f + 3*d + 1 = 0, -4*d + 1 = f + 8. Let a(t) = 3*t**2 + 2*t - 1. Let l be a(1). Sort f, l, 2 in descending order.
l, 2, f
Let w = -8 + 11. Put 5, 4, w in decreasing order.
5, 4, w
Let w = 0.089 + 3.911. Sort 4/3, w, 0 in increasing order.
0, 4/3, w
Let p(b) be the first derivative of b**4/2 - 2*b**3/3 - b**2 - b + 7. Let c be p(-1). Sort 3, c, -4 in decreasing order.
3, c, -4
Let l = 57 - 58. Let h be (-2 - -4) + 26/(-10). Sort l, h, -3 in decreasing order.
h, l, -3
Let q be (-6 - -7)/(-3 - -2) - 0. Sort -2, q, -5, 0 in ascending order.
-5, -2, q, 0
Let h(d) = d**2 + 5*d + 6. Let s be h(-4). Let y be ((-2)/(-2))/((-1)/5*-5). Put y, 5, s in decreasing order.
5, s, y
Let u = -17 + 20. Suppose 0 = -6*l + u - 21. Put l, 8, 5 in decreasing order.
8, 5, l
Let m be 34/(-8) - 1/(-4). Let i = m + 2. Suppose -8 = -2*o - 0*o. Sort 0, o, i in descending order.
o, 0, i
Suppose -3*a + 4*t = 2*a - 11, -6 = -a - 3*t. Put 2, 1, a, -2 in descending order.
a, 2, 1, -2
Let a(t) = t**3 + 6*t**2 - 3*t + 8. Let b be a(-6). Suppose 5*w - b = -1. Sort 4, w, 2 in decreasing order.
w, 4, 2
Let k be 3*(-1 + 3)/(-6). Let t be k/5 - 6/(-30). Let w be (-3)/(-33)*(2 - t). Put w, 4, -1/3 in descending order.
4, w, -1/3
Let a(i) = 8*i - 12. Let f be a(1). Let n be (-52)/(-14) - (-4)/14. Put n, f, -3 in decreasing order.
n, -3, f
Let p = 87/4 - 22. Put -0.4, p, -5 in descending order.
p, -0.4, -5
Let t be ((-3)/4)/(60/(-8)). Sort t, -3, -5 in descending order.
t, -3, -5
Let a be (-2)/5 + 8/(-30). Let v = -70 - -349/5. Sort -1/2, v, a in descending order.
v, -1/2, a
Let f = -1.8 + 0.8. Put -0.2, 1/2, f in descending order.
1/2, -0.2, f
Let i(u) = u**2 - 9*u + 18. Let f be i(5). Let n = 6.05 - 0.05. Let h = n - 11. Sort f, 5, h in ascending order.
h, f, 5
Suppose 2*h = 4*d - 12, -3*h - 7 - 6 = -d. Sort d, 20, 2 in descending order.
20, 2, d
Let t(b) be the second derivative of -b**4/12 + b**3/3 + 3*b. Let z be t(3). Let i be (-6)/(-9)*(-4 + 1). Put -1, i, z in descending order.
-1, i, z
Let p = -107/164 - 4/41. Let q = 0.09 + -0.13. Let v = q + -0.26. Put v, p, 0.3 in increasing order.
p, v, 0.3
Suppose -16 = b - 3*m, -3*m = -5*b + 2*m - 40. Put 0.3, 5, b, 42 in increasing order.
b, 0.3, 5, 42
Let b = 966376/385 + -12548/5. Let m = b + -2/7. Let j = -0.1 - -0.1. Sort 0.2, j, m in increasing order.
j, m, 0.2
Let f = 23 - 23.1. Sort 0.5, f, 7.
f, 0.5, 7
Let i(m) = -m**2 - 5*m - 4. Let h be i(-4). Let c be 4/(-10)*692/2. Let l = 138 + c. Sort 6/7, h, l.
l, h, 6/7
Let v = -12 - -20. Suppose 0*u = -2*u + v. Sort 5, u, -3 in increasing order.
-3, u, 5
Suppose -7*z + 24 = -15*z. Let v(a) = a**3 + 8*a**2 - 7*a + 8. Let p be v(-9). Put p, -2, z in ascending order.
p, z, -2
Let m(v) = -v - 4. Let t be m(-7). Let p(b) = b - 2 - 2 - t. Let w be p(5). Sort 0, -0.1, w.
w, -0.1, 0
Suppose 2*h = 3*h + 126. Suppose 5*i + 1 = 6*i. Let x be 3/h*(i + -5). Put 0.5, 0, x in increasing order.
0, x, 0.5
Let x(a) = -3*a + 7. Let h(k) = -k + 7. Let t be h(4). Let v(y) = -2*y + 4. Let d(f) = t*x(f) - 5*v(f). Let q be d(-5). Sort 2/3, -2/13, q in increasing order.
q, -2/13, 2/3
Suppose 18 = 2*y + 3*j, 0 = y - 2*y + 4*j - 13. Sort y, 1, 4, 7 in descending order.
7, 4, y, 1
Let l = -2.7 + 3.2. Sort l, -3/8, 6 in increasing order.
-3/8, l, 6
Suppose -4*l = 0, -m - 5*l = 5 - 4. Let i = 42 - 42. Sort -3, m, i in descending order.
i, m, -3
Let o = -15 - -18. Put -9, 5, 0, o in ascending order.
-9, 0, o, 5
Let g = -4 + 2. Suppose -5*s - k + 19 = 0, k + 3 = 5*s - 2*k. Let i = 2 - s. Put -5, g, i in descending order.
i, g, -5
Suppose o + 9 = u - 2*o, -2*u + 5*o = -14. Sort 2/9, 0.5, u.
u, 2/9, 0.5
Let a be 8/(2 + 0/(-3)). Let p = a - 5. Sort 0, p, -2 in ascending order.
-2, p, 0
Let k be -4 + ((-1)/2 - 21/(-14)). Put k, 6, 4 in ascending order.
k, 4, 6
Let u be (-1 - 3/(-6))*(-6 + -10). Put u, 2, 3, 4 in decreasing order.
u, 4, 3, 2
Let o = -39 - -49. Sort 5, 4, 3, o in descending order.
o, 5, 4, 3
Let i = -1.9 + 0.1. Let k = -1.84 - i. Put k, 4/9, 0.3 in descending order.
4/9, 0.3, k
Let w(r) be the third derivative of -r**6/120 - 3*r**5/20 + r**4/24 + 7*r**3/6 + 4*r**2. Let b be w(-9). Sort 1, -3, b in ascending order.
-3, b, 1
Let m = 5.3 + -0.3. Let p = m + -4. Put -0.5, 3/4, p in ascending order. | {
"pile_set_name": "DM Mathematics"
} |
9996, -2, 1/5, 2/3, 16.
-2, 1/5, 2/3, 16, 9996
Sort -10, 8, 0.21, -4 in ascending order.
-10, -4, 0.21, 8
Put -12, -9, -3, -1, 2 in decreasing order.
2, -1, -3, -9, -12
Sort 2/7, -5, -0.3, 160, -2/13 in increasing order.
-5, -0.3, -2/13, 2/7, 160
Sort -3, 61, 4/5, 0 in descending order.
61, 4/5, 0, -3
Put -4, -39, 0, -5, 2 in decreasing order.
2, 0, -4, -5, -39
Sort 146, 0, 4, -4, -3 in descending order.
146, 4, 0, -3, -4
Sort 4, -54, 10, -2, 1, 3.
-54, -2, 1, 3, 4, 10
Put 2, -39, -5, -3, -25 in increasing order.
-39, -25, -5, -3, 2
Put 15, 0, -7, 3, 21 in descending order.
21, 15, 3, 0, -7
Put 0.96, 5, -315/4 in decreasing order.
5, 0.96, -315/4
Sort -4, -13, -3, -69, 0, -5 in descending order.
0, -3, -4, -5, -13, -69
Put -3/5, -4, -2, -172, 34 in ascending order.
-172, -4, -2, -3/5, 34
Sort 1, -8, 5, -113, 2 in decreasing order.
5, 2, 1, -8, -113
Put 2, 8, -1/7, 19 in increasing order.
-1/7, 2, 8, 19
Put -1/5, 0.1, -311, -3, -3/2 in ascending order.
-311, -3, -3/2, -1/5, 0.1
Sort 4, 24, -4, 1, 133, 0 in increasing order.
-4, 0, 1, 4, 24, 133
Put 38, -11/74, -3 in descending order.
38, -11/74, -3
Sort 3, -56, -2, 0.09, -4, -5.
-56, -5, -4, -2, 0.09, 3
Put 67, 7, -5, -14, 1 in increasing order.
-14, -5, 1, 7, 67
Sort 4, 14, 122, -0.3, 1 in ascending order.
-0.3, 1, 4, 14, 122
Sort 13, -4/5, -0.13 in increasing order.
-4/5, -0.13, 13
Put -83, 68, -5, 3 in descending order.
68, 3, -5, -83
Sort 5, 4, -4, 18, 9 in descending order.
18, 9, 5, 4, -4
Sort -126, -4, -9, 3, -1 in ascending order.
-126, -9, -4, -1, 3
Sort -12, 1, 207.
-12, 1, 207
Put -0.86, 2/17, -0.4, -0.6 in increasing order.
-0.86, -0.6, -0.4, 2/17
Sort -7, -3/5, 2/7, 1/31, -0.3, 21.
-7, -3/5, -0.3, 1/31, 2/7, 21
Sort 3, 2, -681, -1, 0, 5 in increasing order.
-681, -1, 0, 2, 3, 5
Put 9, 130, -44 in ascending order.
-44, 9, 130
Put -8352, -5, -1 in decreasing order.
-1, -5, -8352
Sort 5/439, 0.2, 24, 2/3.
5/439, 0.2, 2/3, 24
Sort -5, 1, 542, -2.2, 2 in descending order.
542, 2, 1, -2.2, -5
Sort -2, -79, 2, 3, 187, -3 in increasing order.
-79, -3, -2, 2, 3, 187
Sort -184, -1/3, 2, -14 in decreasing order.
2, -1/3, -14, -184
Sort -2/11, -3, -40 in ascending order.
-40, -3, -2/11
Sort -2/15, 0.4, -599.4, 4, -3, -2 in descending order.
4, 0.4, -2/15, -2, -3, -599.4
Sort -0.3, 633, -3, 0, 0.46, 3/2.
-3, -0.3, 0, 0.46, 3/2, 633
Sort 0.048, -0.0432, -0.18 in decreasing order.
0.048, -0.0432, -0.18
Put 26564, -2, 17 in decreasing order.
26564, 17, -2
Sort -5, -2, -3, -48, 3.
-48, -5, -3, -2, 3
Sort -18, 0, 851, 2 in decreasing order.
851, 2, 0, -18
Sort -12, 601, -46.
-46, -12, 601
Sort -3.58, -1/9, 1/11 in decreasing order.
1/11, -1/9, -3.58
Sort -4, -6, 4, 2, 18 in decreasing order.
18, 4, 2, -4, -6
Put 3/2, -360, -3/2, 0.09, -3, 5 in ascending order.
-360, -3, -3/2, 0.09, 3/2, 5
Sort -2101, 0, 51, 5 in increasing order.
-2101, 0, 5, 51
Sort 0, -3/5, 6160.
-3/5, 0, 6160
Sort 1, 379, -3, -1, 14 in decreasing order.
379, 14, 1, -1, -3
Sort -26, -4, 0.1089, 0.07 in decreasing order.
0.1089, 0.07, -4, -26
Sort -3, 449, 2, 10 in descending order.
449, 10, 2, -3
Put 13, 4.3, 8/9 in increasing order.
8/9, 4.3, 13
Put -5, -723, -3, 56 in increasing order.
-723, -5, -3, 56
Sort -14, 8, -1, 0, -25, -8.
-25, -14, -8, -1, 0, 8
Sort 2, 24, -109, -2.
-109, -2, 2, 24
Put 94, 36, -5 in decreasing order.
94, 36, -5
Sort -5039, 2, 0, -3 in descending order.
2, 0, -3, -5039
Sort -3, -2, -1174, -69.
-1174, -69, -3, -2
Put 0.05, -342.1, -3 in decreasing order.
0.05, -3, -342.1
Sort -3, 6327, 4.
-3, 4, 6327
Put 2, 4, -69, 231 in decreasing order.
231, 4, 2, -69
Put 11, -4, 2337 in ascending order.
-4, 11, 2337
Put 4, -140, 0, 5, 55 in decreasing order.
55, 5, 4, 0, -140
Put -29, -2/7, 17, 60, 0.1 in descending order.
60, 17, 0.1, -2/7, -29
Sort 40, 2, 1, -4, 6, -5.
-5, -4, 1, 2, 6, 40
Put 0.7, 4, 5/123, -0.5, 2 in decreasing order.
4, 2, 0.7, 5/123, -0.5
Sort -33, 0, 261.
-33, 0, 261
Sort 3, -2/3, -74.56, 0.4, 12 in descending order.
12, 3, 0.4, -2/3, -74.56
Sort -3, -11, 30, -32, 0, 5.
-32, -11, -3, 0, 5, 30
Put 3476, 3, 106 in ascending order.
3, 106, 3476
Put 3/10, 0.4, -3/20, 3/4, 1/3 in increasing order.
-3/20, 3/10, 1/3, 0.4, 3/4
Put 49, -0.5, -2/5, -4/27, 1/3 in descending order.
49, 1/3, -4/27, -2/5, -0.5
Sort -1, -48, -57, 0 in descending order.
0, -1, -48, -57
Sort -1/4, 31, -2/43, 9 in increasing order.
-1/4, -2/43, 9, 31
Put -14/25, -6.02, 5 in increasing order.
-6.02, -14/25, 5
Put 2/5, 2, 0.3, -3/2, 146 in decreasing order.
146, 2, 2/5, 0.3, -3/2
Put 6, -2, -105, 4 in decreasing order.
6, 4, -2, -105
Sort 3, 8, -263 in descending order.
8, 3, -263
Sort 5, 12, 8, -6, -7, -4 in decreasing order.
12, 8, 5, -4, -6, -7
Sort 0, 6, -6, -3, 14.
-6, -3, 0, 6, 14
Sort 2, -80, 4, -1 in descending order.
4, 2, -1, -80
Sort -1/5, 12, -5/3, 0.09, -0.28 in descending order.
12, 0.09, -1/5, -0.28, -5/3
Put 3, -1, 1, -4, -2 in increasing order.
-4, -2, -1, 1, 3
Put 30, -2, 19, 3, -5 in ascending order.
-5, -2, 3, 19, 30
Sort 3/2, -2/5, 3, -119 in increasing order.
-119, -2/5, 3/2, 3
Put 1/5, -1.6, 67, -0.3, -9 in ascending order.
-9, -1.6, -0.3, 1/5, 67
Sort 2, -1, -4700, -2, 5 in decreasing order.
5, 2, -1, -2, -4700
Put 1, 8, -3, -38, 2 in increasing order.
-38, -3, 1, 2, 8
Put 170, 14, 0, -22 in descending order.
170, 14, 0, -22
Sort -164, -5, -100, -4 in decreasing order.
-4, -5, -100, -164
Put 3244, -21, -3, 1 in descending order.
3244, 1, -3, -21
Sort 3, 142, -1, -6, -9, 6 in descending order.
142, 6, 3, -1, -6, -9
Sort 1/3, -7, -537/8, 1, 2/5 in ascending order.
-537/8, -7, 1/3, 2/5, 1
Sort 0, 4, -3, 1, 8, -1.
-3, -1, 0, 1, 4, 8
Put -87, 1/8, -2/7, -7 in decreasing order.
1/8, -2/7, -7, -87
Put -2, 5, 44, 1 in ascending order.
-2, 1, 5, 44
Sort 0.1, 5, -1, 5.57, -2 in increasing order.
-2, -1, 0.1, 5, 5.57
Sort 1, -91, -1, -17.
-91, -17, -1, 1
Sort -15, 60, -3, -4, 4 in descending order.
60, 4, -3, -4, -15
Sort 33/2, -279, 6 in ascending order.
-279, 6, 33/2
Put 0.508, -2, 0 in ascending order.
-2, 0, 0.508
Put 5, -17, 218, -2 in descending order.
218, 5, -2, -17
Put -15, 70, -34 in descending order.
70, -15, -34
Sort 0.19, 1, 1/9, 184, 2.
1/9, 0.19, 1, 2, 184
Put 23.2, 4/9, 0.3, 1, 2/51 in ascending order.
2/51, 0.3, 4/9, 1, 23.2
Put -363, -2, 42 in ascending order.
-363, -2, 42
Sort 5, 17044, -3.
-3, 5, 17044
Sort -2/15, -60, 5, 0.4 in descending order.
5, 0.4, -2/15, -60
Sort 10, 66, 3, -4, 2.
-4, 2, 3, 10, 66
Put -182, 55, 5.1, 2 in descending order.
55, 5.1, 2, -182
Put 3.9, 1/5, 2/9, -0.178 in increasing order.
-0.178, 1/5, 2/9, 3.9
Sort -674, -4, -5, 3 in descending order.
3, -4, -5, -674
Sort 0, -1192, 5 in increasing order.
-1192, 0, 5
Put 3, 1, -5, 36, 13, -2 in descending order.
36, 13, 3, 1, -2, -5
Sort 2, -185, -2752 in descending order.
2, -185, -2752
Sort -15, -5, -1972.
-1972, -15, -5
Put 2/7, 5/4, 242 in increasing order.
2/7, 5/4, 242
Put 4/9, 8/5, 2/21, -0.5, -1, 0.03 in descending order.
8/5, 4/9, 2/21, 0.03, -0.5, -1
Sort -0.4, 2, 9, 1, -2/843 in ascending order.
-0.4, -2/843, 1, 2, 9
Sort 3, -61, -3, 47, -1.
-61, -3, -1, 3, 47
Sort -4, -2, 4, -3, -1, 55 in increasing order.
-4, -3, -2, -1, 4, 55
Put 0, 4, 5, -7/18, -5, -0.4 in descending order.
5, 4, 0, -7/18, -0.4, -5
Put 9, -2, -66 in decreasing order.
9, -2, -66
Sort -0.2, 38, 3811 in increasing order.
-0.2, 38, 3811
Sort -59, 3, 21, -2, 2 in decreasing order.
21, 3, 2, -2, -59
Sort -3, 30, 41.
-3, 30, 41
Sort -4, -64, 0.0187.
-64, -4, 0.0187
Put 1, -9, 6, 0, 7 in increasing order.
-9, 0, 1, 6, 7
Put 0.1, -11, 2/7, -2, -413 in decreasing order.
2/7, 0.1, -2, -11, -413
Put -4/3, 4/83, 4/51 in ascending order.
-4/3, 4/83, 4/51
Put -2/9, -14/3, -7, -31 in descending order.
-2/9, -14/3, -7, -31
Sort 7, -93, -7, -3, 1, -6 in decreasing order.
7, 1, -3, -6, -7, -93
Sort 4, -1/4, 0, 0.1, -0.3, 0.1723.
-0.3, -1/4, 0, 0.1, 0.1723, 4
Sort 8/3, 38/5, -5, 4, -3/5 in ascending order.
-5, -3/5, 8/3, 4, 38/5
Sort -2, 13, -3, -1, 11 in ascending order.
-3, -2, -1, 11, 13
Sort -3, 8, -7761 in increasing order.
-7761, -3, 8
Sort -6, 5, 6, 1033, -3, 1 in descending order.
1033, 6, 5, 1, -3, -6
Sort -485, -2, 24, -1.
-485, -2, -1, 24
Put -4, -27, 74, 2, -5 in increasing order.
-27, -5, -4, 2, 74
Put 994, 5, 145 in increasing order.
5, 145, 994
Sort | {
"pile_set_name": "DM Mathematics"
} |
suming u is positive.
u**(-113/24)
Simplify (k/(k/(k*(k/(k*k*k**(-2)*k))/k)))**(-16)/(k*(k/(k*k*(k*k**(-5))/k))/k*k**(-9)) assuming k is positive.
k**5
Simplify ((c*c*c*c**(-2/3)*c)**(10/3))**5 assuming c is positive.
c**(500/9)
Simplify (c**(2/9))**(-9/4)/(c**(-7)*c**(2/9)*c) assuming c is positive.
c**(95/18)
Simplify ((s**(-2/7)/s)/(s*s*s*s**1*s))**(-48) assuming s is positive.
s**(2112/7)
Simplify (u*u*u*u**(-9)/u*u)**(3/16) assuming u is positive.
u**(-9/8)
Simplify c/c**10*c*c*c**(-11/5) assuming c is positive.
c**(-46/5)
Simplify ((i**(2/3))**(-36))**46 assuming i is positive.
i**(-1104)
Simplify (z/z**(-7))**(-5/2) assuming z is positive.
z**(-20)
Simplify p**(-5/7)/(p/(p*p**37/p*p)) assuming p is positive.
p**(254/7)
Simplify (x/(x/(x/(x*x/(x/(x/(x/(x/x**(1/4)))*x))))*x)*x**(-2))**(-7) assuming x is positive.
x**(133/4)
Simplify ((z/(z/z**(-2/7)))/z**(-2))/((z*z**(-1/2))/z*z**(-2/9)) assuming z is positive.
z**(307/126)
Simplify d**(-10)*d**(-16) assuming d is positive.
d**(-26)
Simplify (s**4/s**(-1/6))/(s**(-1/2)*s*s)**(-2/73) assuming s is positive.
s**(1843/438)
Simplify (g*g**(-12)*g*g**(-4/5))**(-21/2) assuming g is positive.
g**(567/5)
Simplify ((a/a**19)/a)**(-23) assuming a is positive.
a**437
Simplify c**(-18)/c*c*c**20 assuming c is positive.
c**2
Simplify ((v/(v**(-5)/v))/v**1)**(7/6) assuming v is positive.
v**7
Simplify (o/o**18*o**3)**(-2/35) assuming o is positive.
o**(4/5)
Simplify (x**0*x**8*x)**(2/67) assuming x is positive.
x**(18/67)
Simplify (p**1/p*p/p**(1/5))/(p**(-2)*p**(1/4)) assuming p is positive.
p**(51/20)
Simplify (a**(6/11)/(a/(a*a**6)))/(a**6/((a**(-2/13)/a*a*a)/a)) assuming a is positive.
a**(56/143)
Simplify (y*y**4/y*y)/y*y/(y*y*(y/(y/(y*y*y**(-7))))/y)*((y*y**2)/y)/(y/y**(-4)) assuming y is positive.
y**6
Simplify (q**(-1)/((q/q**(2/7)*q)/q))**(-8) assuming q is positive.
q**(96/7)
Simplify w/w**(1/9)*w**(3/10)*w**(-2)*w**(-3) assuming w is positive.
w**(-343/90)
Simplify p**(-2)/(p/p**7)*(p*p**(2/5))**(-44) assuming p is positive.
p**(-288/5)
Simplify ((o*o/(o*o**(-2/37)))/o)/(o/o**(-2/5)) assuming o is positive.
o**(-249/185)
Simplify i/(i**(-2/3)*i)*i**(2/3)/i*((i/(i/i**0)*i)/i)**(4/11) assuming i is positive.
i**(1/3)
Simplify ((v**8)**45)**(-6/5) assuming v is positive.
v**(-432)
Simplify n/n**(2/29)*n/(((n/n**19)/n)/n) assuming n is positive.
n**(636/29)
Simplify w**(2/41)*w**(-3/8) assuming w is positive.
w**(-107/328)
Simplify ((i**3/i)/i*i*i**(-4))**(-43) assuming i is positive.
i**86
Simplify s**16/(s/s**(-4/5)) assuming s is positive.
s**(71/5)
Simplify (w/w**(-4))/(w/(w*w/(w/((w*w**(-5/4))/w)))) assuming w is positive.
w**(15/4)
Simplify (i**(-3))**(2/141) assuming i is positive.
i**(-2/47)
Simplify (c/c**(-9))/(c/((c*c**0/c)/c)) assuming c is positive.
c**8
Simplify l/(l*l**(3/5))*l/(l*l**(1/18)) assuming l is positive.
l**(-59/90)
Simplify (r**(-1))**37/(r**(-2/9))**(1/5) assuming r is positive.
r**(-1663/45)
Simplify ((s/(s**(-2/13)/s))/s)/(s/(s/(s/(s**3*s)))) assuming s is positive.
s**(54/13)
Simplify ((d/((d/(d/d**(-6)))/d))/d**(4/5))**(-14) assuming d is positive.
d**(-504/5)
Simplify ((q**0/q)/q)/q**17 assuming q is positive.
q**(-19)
Simplify (q*q**(-1/2))**(-1/7)*(q/((q**(-6/5)/q)/q))/q**2 assuming q is positive.
q**(149/70)
Simplify ((p*p**(-6))/((p/p**(-1/5)*p*p*p)/p))**(-5/3) assuming p is positive.
p**(41/3)
Simplify (f**(-2/3))**(24/5)*(f*f**(-1)*f)**(-3/2) assuming f is positive.
f**(-47/10)
Simplify (a*a**(-2/15))**(4/3) assuming a is positive.
a**(52/45)
Simplify ((x/x**(-1))/x)**(3/5)*x**(-2/9)*x**(-3) assuming x is positive.
x**(-118/45)
Simplify (w*w/(w*w*(w*(w/((w*w*w**21*w)/w))/w)/w*w))/w**(30/7) assuming w is positive.
w**(124/7)
Simplify (((k/((k/k**(-2/13))/k)*k*k)/k)**(-20))**(2/37) assuming k is positive.
k**(-960/481)
Simplify s/s**(1/10)*(s/s**(-4/9))/s*s assuming s is positive.
s**(211/90)
Simplify (y*y*y**1)**(1/6)*(y/(y/(y**(-5)/y)))/(y**(-3)/y) assuming y is positive.
y**(-3/2)
Simplify b*b**2*(b*b**(-13))/b assuming b is positive.
b**(-10)
Simplify q**(-8/3)*q**(-6/7) assuming q is positive.
q**(-74/21)
Simplify u**(4/5)/u**(-5/6) assuming u is positive.
u**(49/30)
Simplify q**(-1)/(q/(q**(4/5)/q)*q)*(q*q/(q*q**6))/(((q*q/(q/(q/q**(-3)*q)))/q)/q) assuming q is positive.
q**(-61/5)
Simplify (z/(z*(z*z/((((z**(-2/5)*z)/z)/z*z)/z)*z)/z))**(-2)/(z/(z/z**(-2/7)))**(-2/31) assuming z is positive.
z**(7358/1085)
Simplify ((s/((s/(s/(s*(s/(s*s**(2/15)))/s*s*s)))/s))/(s*s/s**(1/8)))**(-49) assuming s is positive.
s**(10241/120)
Simplify ((r**0/r)/r)**(1/21)*(r*r**(-1/4))**40 assuming r is positive.
r**(628/21)
Simplify (q**(-6))**(2/7) assuming q is positive.
q**(-12/7)
Simplify ((d*d**4)/d*d**(-2/11)/d*d)**(-42) assuming d is positive.
d**(-1764/11)
Simplify m**(2/7)*m*m**1/m*(m/(m**0/m)*m*m)**9 assuming m is positive.
m**(261/7)
Simplify p**(-4/5)/p*p**(-3) assuming p is positive.
p**(-24/5)
Simplify a*a**(-1)*a/(a**(3/5)/a*a*a)*(a/a**(2/13))/a**(-2/19) assuming a is positive.
a**(434/1235)
Simplify (((r/(r/((((r/(r**0/r)*r)/r)/r)/r)))/r)**(-44))**34 assuming r is positive.
r**1496
Simplify ((b**(-1)/b)/b*b**(-11))**28 assuming b is positive.
b**(-392)
Simplify ((q*q/q**(-2/11))**(-1/5))**43 assuming q is positive.
q**(-1032/55)
Simplify y*y**31*y/y**(-26) assuming y is positive.
y**59
Simplify (((n**(-1/3)/n*n)/n)**24)**(-1/18) assuming n is positive.
n**(16/9)
Simplify (w/(w*w**2*w)*w*w/w**(2/5))/(w**(-1)/w)**23 assuming w is positive.
w**(223/5)
Simplify h**0/h**(-2)*h/(h*h**(-3)*h)*(h*h**(-1/4))/h assuming h is positive.
h**(15/4)
Simplify (h/h**(-3/19)*h)/h**5 assuming h is positive.
h**(-54/19)
Simplify j/(j/j**(1/11))*j**(-4)*j assuming j is positive.
j**(-32/11)
Simplify (c**(-5/6))**(-13) assuming c is positive.
c**(65/6)
Simplify (m**(-1/17)/m)**(1/5) assuming m is positive.
m**(-18/85)
Simplify c*c/c**10*(c**(-3)*c)/c assuming c is positive.
c**(-11)
Simplify d**(-16)*d*(d*d*(d**14/d)/d*d)/d assuming d is positive.
1/d
Simplify (d/(d*d**(2/11)))/(d*d**(-20)) assuming d is positive.
d**(207/11)
Simplify u**(3/4)/u*u*u**(-13)*u assuming u is positive.
u**(-45/4)
Simplify (l*l/(l/l**(-7))*l**(9/4)*l)**(2/11) assuming l is positive.
1/sqrt(l)
Simplify (h/(h*(h/(h/(h/(h*h*h/(h**(-4/9)*h*h)))))/h))**(-3) assuming h is positive.
h**(-13/3)
Simplify (q*q*q**(6/11)/q)/(q/(q*q**18)) assuming q is positive.
q**(215/11)
Simplify ((y/y**(2/7))/(y*y*y**(-2/17)))**(-15/8) assuming y is positive.
y**(2085/952)
Simplify (o*o**(-37))**13 assuming o is positive.
o**(-468)
Simplify y/(y*y/(y*y**(5/2)*y))*y**27 assuming y is positive.
y**(61/2)
Simplify (w*w**(-2/11))**20 assuming w is positive.
w**(180/11)
Simplify (u**(-12))**(9/7) assuming u is positive.
u**(-108/7)
Simplify a**(-1/21)*a**(-3)/a*a assuming a is positive.
a**(-64/21)
Simplify (w*w*w**0*w)**(-3/28)/(w**7/w**6) assuming w is positive.
w**(-37/28)
Simplify (c**1*c)**(-5)*c**1*(c*c**(-2/13)/c*c)/c assuming c is positive.
c**(-119/13)
Simplify (m*m*m/(m*m**(2/5)/m*m))/(m**(-3/4)/m) assuming m is positive.
m**(67/20)
Simplify ((z**(-7)*z)/z*z/(z/(z*z**(5/2)))*z)**(-47) assuming z is positive.
z**(235/2)
Simplify (c**(-1/7)*c)/c**(-7/2) assuming c is positive.
c**(61/14)
Simplify ((t/(t**(2/7)*t))/((t**5/t*t)/t))/(t*t*t**0*t)**13 assuming t is positive.
t**(-303/7)
Simplify d**(-2/33)/(d*d/d**(-7/4))*(d**2)**(1/33) assuming d is positive.
d**(-15/4)
Simplify (j**0)**(-3/28)*(j**0)**(2/71) assuming j is positive.
1
Simplify (c*c*c**(-1))**(-22) assuming c is positive.
c**(-22)
Simplify (p**(-2/7)/p)/(((p*p**(-2/11)/p)/p)/p) assuming p is positive.
p**(69/77)
Simplify (z**16*z/(z/z**20))**(-28) assuming z is positive.
z**(-1008)
Simplify (c*c*c**(3/28))/c**29 assuming c is positive.
c**(-753/28)
Simplify (z**(-4/3)/(z**(-2/25)*z))**(2/7) assuming z is positive.
z**(-338/525)
Simplify (s*s**1/s)**35/(s**(-4)*s**(-4/9)*s) assuming s is positive.
s**(346/9)
Simplify (u**(-2/7))**(10/13)*u**(-1/4)/u*u**(1/3) assuming u is positive.
u**(-1241/1092)
Simplify (o**4/((o*o*o/o**0*o)/o))/(o**(-8)/o**(-4)) assuming o is positive.
o**5
Simplify (x**(1/2))**(-1/7) assuming x is positive.
x**(-1/14)
Simplify ((n/(n/(n**(9/5)/n*n)))/n**(-17))**(5/4) assuming n is positive.
n**(47/2)
Simplify ((m*m**(-1/5)*m*m)**(-3/17) | {
"pile_set_name": "DM Mathematics"
} |
late the highest common divisor of a and 24.
8
Suppose -160 = -4*p - 2*t, 153 = 4*p + 4*t - 15. Calculate the greatest common divisor of 247 and p.
19
Suppose 0 = 3*h - 5*c - 311, 4*c - 570 = -5*h + 2*c. Suppose 0 = y - 5*y + h. Suppose -5*v + y + 17 = 0. What is the greatest common divisor of v and 54?
9
Suppose 0 = 4*a - 0*a - 64. Let h(j) = j**3 - 16*j**2 + j - 17. Let d be h(a). Let u be (4 - d)*6/15. What is the greatest common factor of u and 10?
2
Suppose 0 = -3*m + 2*m + 3*r + 93, 0 = 3*r - 6. Suppose c = 2*c - 132. Let k be c/12 - (0 - -2). Calculate the highest common factor of m and k.
9
Suppose 50*y + 36 = 54*y. What is the highest common factor of y and 36?
9
Let h be (7/(-2))/(1 + 290/(-280)). What is the highest common divisor of 2 and h?
2
Suppose -57*n + 55*n = -66. Suppose -5*b - x + 6*x + 1310 = 0, 0 = -4*b - 4*x + 1064. Calculate the greatest common divisor of b and n.
33
Let v = -744 - -764. Calculate the greatest common factor of 110 and v.
10
Let x be 154/3 - (-4)/(-3). Calculate the highest common divisor of x and 30.
10
Let b be 6/4 - (75/(-10) + 4). Suppose 0 = 2*v - 83 - 27. Calculate the highest common divisor of b and v.
5
Let i be ((-6)/(-4) + -2)/((-18)/2268). Suppose -12*z + i = -11*z. What is the greatest common divisor of 27 and z?
9
Suppose 0 = 9*f - 17 - 28. Let p(m) = -m**3 + 6*m**2 + 7*m + 2. Let b be p(f). Calculate the greatest common divisor of b and 155.
31
Let q be 2*8606/60 + 118/885. Calculate the highest common factor of 41 and q.
41
Let s = 51 + -59. Let v be (1 + 2*(-36)/s)*10. Calculate the highest common divisor of v and 40.
20
Let z = -539 + 611. Calculate the greatest common divisor of z and 180.
36
Let u be -4*(-2 - (-26)/(-8)). Calculate the highest common divisor of u and 203.
7
Suppose -21 - 19 = -4*l. Suppose -l*s - 2*s = -72. Calculate the greatest common factor of s and 15.
3
Let w be ((33/(-4))/(-11))/((-1)/(-4)). What is the highest common factor of 3 and w?
3
Let x be (-2)/5 + (-36)/(-15). Let u be -70*((-1 - x) + 2). What is the highest common divisor of u and 10?
10
Let v be (-3)/4 + 1 - 1615/(-20). Let a = 7 - 3. Let q be a/(-14) - (-382)/14. Calculate the greatest common factor of q and v.
27
Suppose -5*m + 4*q + 207 = 0, -84 = 3*m - 5*m + q. What is the greatest common factor of m and 989?
43
Suppose -44*m = -87*m + 559. What is the greatest common divisor of 1625 and m?
13
Let y(j) = j**3 - 14*j**2 + 20*j - 1. Let o be y(13). What is the greatest common factor of o and 80?
10
Let t be 4 + -7 + 271 + 2. Suppose 5*s + t = 2*o, -5*o = 4*s - 548 - 127. Calculate the highest common factor of 15 and o.
15
Let f be 2/3*21/2. Suppose 3*a - 8 - f = 0. Suppose -a*t + 3*d + 140 = 0, -t = t - d - 56. What is the greatest common divisor of 4 and t?
4
Let o(m) = -2*m - 11. Let z be o(-12). Suppose 5*q = -3*d + 75, -z = d + 4*q - 31. Calculate the highest common factor of 270 and d.
30
Suppose -5*g + 8*g = 1653. Suppose -5*a + g = -i, -a + 3*a + 3*i = 217. Calculate the highest common divisor of 10 and a.
10
Suppose w = 35 - 10. Suppose -w - 11 = -4*f. What is the greatest common factor of 1 and f?
1
Suppose -8*z - 33 = -4*w - 7*z, -2*w - 5*z = -11. What is the highest common divisor of w and 312?
8
Let r be (-2 - (1 + -5 + 0)) + -1. Let q be r*55 - -1*(-3 + 2). Calculate the highest common factor of 6 and q.
6
Let g = 163 + -55. Let m = g - 72. What is the greatest common divisor of m and 4?
4
Suppose r - 6 = -3. Suppose -r*c + 390 = 39. What is the highest common divisor of c and 78?
39
Let f be 3276/(-54)*(-60)/8. What is the greatest common divisor of 70 and f?
35
Let m = -6 - -11. Suppose r + 4*j - 140 = 0, 4*r = 3*r + m*j + 167. Let n = r + -64. What is the highest common factor of 22 and n?
22
Let g = 197 + 131. What is the highest common divisor of 123 and g?
41
Let g(f) = 2*f**2 + 33*f + 170. Let l be g(-8). Calculate the highest common divisor of 221 and l.
17
Suppose 9*w - 295 = 200. Calculate the greatest common divisor of 55 and w.
55
Let x(b) = -b**2 + 9*b + 18. Let f be x(10). Suppose 4*j = -m - 2 - f, -3*j = m + 14. Let g = -22 - m. What is the greatest common factor of g and 4?
4
Suppose -2*d + 2*p = -404, -d + 2*p = -6*d + 1003. What is the greatest common divisor of 268 and d?
67
Suppose -30 - 294 = -3*k. Suppose 8*y + 75 + 141 = 0. Let j(p) = -p**2 - 29*p - 42. Let x be j(y). Calculate the highest common factor of x and k.
12
Let u be (-42)/(-11) - 8/(-44). Suppose 2*y = y - u. Let m be (-1)/(-4)*(-112)/y. Calculate the highest common divisor of 56 and m.
7
Suppose -687 = -2*z - 3*x + 2*x, 0 = 5*z - 5*x - 1725. Calculate the highest common divisor of z and 129.
43
Let c = -301 - -303. Calculate the greatest common divisor of c and 8.
2
Suppose 2*o + i = 238, 2*i + 0*i = 5*o - 577. Let j = o + -92. Calculate the greatest common factor of 175 and j.
25
Suppose 18*a = 291 + 1293. Suppose n - 7 = 2*u, -4*u = -3*n - 7*u + 30. Suppose -y - n + 31 = 0. Calculate the highest common factor of a and y.
22
Suppose -56 - 70 = 9*n. Let b = n + 21. Calculate the highest common divisor of b and 70.
7
Suppose 14*q + 2*g = 17*q - 1138, -g = 2*q - 761. What is the greatest common divisor of 20 and q?
20
Let y = 5 - 13. Let p = y - -11. What is the highest common divisor of 15 and p?
3
Let f(x) = 2*x + 8. Suppose w - 4 = 0, 4*q = -w + 43 - 15. Let s be f(q). What is the greatest common factor of 220 and s?
20
Let u be (2/1)/4*8. Suppose 2*m - 64 = 2*d - 3*m, d - 5*m = -42. Let v = -12 - d. Calculate the highest common factor of v and u.
2
Let i be (-1 - 14/(-6))/((-12)/306). Let t be 10/(30/i + 2 - 1). Calculate the highest common factor of t and 34.
17
Suppose 67*t - 75*t = -1056. Calculate the highest common factor of 55 and t.
11
Suppose 9*u + 4478 - 410 = 0. Let x be 2/(-15) + -2 + u/(-15). Calculate the highest common factor of 21 and x.
7
Suppose -4410 = -11*c - 31*c. What is the greatest common divisor of c and 1680?
105
Suppose -3*v + 646 = 2*q, v + 32*q - 212 = 28*q. Calculate the highest common factor of v and 8.
8
Let z(p) = -2*p**3 - 8*p**2 + 4*p - 15. Let r be z(-5). Suppose 5*f = 8*f - 105. What is the greatest common factor of f and r?
5
Let i be 5*1 - (-2)/(10/125). What is the highest common divisor of i and 6?
6
Let c be -90*((-226)/52 - 84/546). What is the greatest common divisor of 216 and c?
27
Let o(k) be the first derivative of 17*k**2/2 + 15*k - 5. Let i be o(-7). Let h = i - -182. What is the highest common factor of h and 26?
26
Let d be (-3 - -18)*(-24)/(-36). Let a be (-35)/10*20/(-7). Calculate the greatest common factor of d and a.
10
Let o be (-7)/((-28)/184) + 1*-4. What is the greatest common factor of o and 105?
21
Suppose 0 = -w - 2*w + 504. Suppose -14 = -4*m + 82. What is the highest common factor of w and m?
24
Suppose 0 = -5*n + 2*m + 145, -4*m = 21*n - 22*n + 29. What is the greatest common divisor of 116 and n?
29
Suppose 0 = u - 163 - 83. Let n be 4/(-26) - u/(-78). Let h be (-2 - -3) + (n - 1). Calculate the greatest common divisor of 12 and h.
3
Let k be 2/(2 - 4) - -22. Suppose -7*q + 747 - 159 = 0. Calculate the highest common factor of k and q.
21
Let t(p) = 8*p**2 + 3*p + 2. Let g be t(-1). Let l be 38/g + 24/42. Suppose 2*b - l*b = -140. Calculate the highest common divisor of 315 and b.
35
Suppose 3 + 16 = g. Suppose 0 = 7*o - 8*o + 38. Calculate the highest common divisor of g and o.
19
Suppose -4*l + 2*f + 160 + 22 = 0, -2*f = -2. Calculate the greatest common divisor of l and 437.
23
Let m be 5 + 0*(-2 - -3). Suppose 5*p + s - 96 = 181, -2*p - m*s = -97. Let f be 4 + (-1 - 5/(-1)). What is the greatest common divisor of p and f?
8
Suppose g = 3*n - 11, 0*g = -4*g - 20. What is the highest common factor of n and 15?
1
Let n = -112 + 134. Suppose -7*l + 12*l - 3*h - 62 = 0, -3*h = -l + n. Let b be 24/(-3)*(-30)/8. Calculate the greatest common divisor of l and b.
10
Let u(k) = -3*k**3 + 154*k**2 - 78*k + 1394. Let w be u(51). Suppose -3 = -4*o + 65. What is the greatest common divisor of w and o?
17
Suppose -3*x - 3*v - 1 = -4*x, x + 5*v - 1 = 0. Let z = -15 - -17. Let u be (-99)/6*(-3)/(9/z). Calculate the highest common factor of u and x.
1
Suppose -30*b = -43*b + 624. Let p be (63/(-2))/((-9)/12). Let w = p + -18. Calculate the gre | {
"pile_set_name": "DM Mathematics"
} |
63*c**3.
-c**3
Collect the terms in 36*c**2 - c**2 + 24*c**2 - 3*c**2.
56*c**2
Collect the terms in 2*n**3 + 5*n**3 - 43*n - 2*n**3 + 43*n.
5*n**3
Collect the terms in -37*s**3 + 38*s**3 + s - s + 0*s.
s**3
Collect the terms in -579*n - 579*n + 1158*n - 7*n**2.
-7*n**2
Collect the terms in 2*t**2 + 57802*t - 57802*t.
2*t**2
Collect the terms in 303 + 0*x**2 + 42 + 3*x**2 - 3*x - 2*x**2.
x**2 - 3*x + 345
Collect the terms in -29*r**2 - 6*r + 33*r**2 + 6*r.
4*r**2
Collect the terms in -53*t - 62*t + 11*t.
-104*t
Collect the terms in -18*g**2 + 11*g**2 + 11*g**2 + 9*g**2.
13*g**2
Collect the terms in 130*a**2 + 5 - 121*a**2 - 5.
9*a**2
Collect the terms in -4 + 4 + 74102*k - 74101*k.
k
Collect the terms in 23*k + 8 - 8.
23*k
Collect the terms in 16*x**2 - 22*x**2 - x**2.
-7*x**2
Collect the terms in 1035 - 14*n**3 - 1035.
-14*n**3
Collect the terms in -13*q**2 + 4*q**2 + 7*q**2.
-2*q**2
Collect the terms in -4*i**3 + 34*i - 34*i - 3*i**3.
-7*i**3
Collect the terms in -k - 5 - 4*k + 4*k.
-k - 5
Collect the terms in -3 - 4 + 1 - 6*y**2.
-6*y**2 - 6
Collect the terms in 3371*i**2 - 1683*i**2 - 1690*i**2.
-2*i**2
Collect the terms in -137*v + 268*v - 122*v.
9*v
Collect the terms in 158*n**2 - 330*n**2 + 154*n**2.
-18*n**2
Collect the terms in -379*n + 190*n - 2*n**2 + 189*n.
-2*n**2
Collect the terms in 45*s**3 + 47*s**3 - 86*s**3.
6*s**3
Collect the terms in -374*x + 189*x + 186*x.
x
Collect the terms in -7 + 7 + 7*g**3 - 2*g**3.
5*g**3
Collect the terms in -93*y**2 + 186*y**2 - 90*y**2.
3*y**2
Collect the terms in -5*y - 8 + 9 - 1.
-5*y
Collect the terms in -15*c - 69*c + 4*c**2 + 84*c.
4*c**2
Collect the terms in 46 - 122 + 32 + 44 - s.
-s
Collect the terms in 12*y**2 - 10*y**3 + 20*y**2 - 38*y**2.
-10*y**3 - 6*y**2
Collect the terms in -19*m**2 + 2*m**2 - 44*m**2.
-61*m**2
Collect the terms in 5*u**2 + u**2 + 12*u**2.
18*u**2
Collect the terms in -28*v**2 + 14*v**2 + 8*v**2.
-6*v**2
Collect the terms in 0 + 10*h + 2 + 14*h.
24*h + 2
Collect the terms in 87*d**2 - 11*d**2 - 73*d**2.
3*d**2
Collect the terms in -2 + 2 - 42*u**2 + 0.
-42*u**2
Collect the terms in -22 + 22 - 252*x.
-252*x
Collect the terms in 27 + 2*p**3 - 13 - 14.
2*p**3
Collect the terms in 861*h - 435*h - 438*h.
-12*h
Collect the terms in 596*n - 1188*n + 593*n.
n
Collect the terms in 37*y**2 - 17*y**2 - 34*y**2.
-14*y**2
Collect the terms in -51*w + 2*w**2 - 42*w - 49*w + 165*w - 23*w.
2*w**2
Collect the terms in 2*z**2 - 4*z**2 - 3*z**2.
-5*z**2
Collect the terms in -2*h**3 - 4147*h**2 + 4147*h**2.
-2*h**3
Collect the terms in -20*o + 6*o + 13*o.
-o
Collect the terms in 204*t - 410*t + 205*t.
-t
Collect the terms in 11*a**2 + 7*a**2 + 5*a - 3*a.
18*a**2 + 2*a
Collect the terms in -11 + 669*d**3 + 11 - 663*d**3.
6*d**3
Collect the terms in -7746*k**2 + 0*k + 0*k + 7770*k**2.
24*k**2
Collect the terms in 9 + 1 - 10 - 17*i**3.
-17*i**3
Collect the terms in 23 + 19*n**3 - 18*n**3 - 23.
n**3
Collect the terms in j**3 - 4*j**3 + 59*j - 116*j + 60*j.
-3*j**3 + 3*j
Collect the terms in 1 - 1766*y - 1.
-1766*y
Collect the terms in 1307 + w + 1301 - 2608 - 2*w.
-w
Collect the terms in -918*s**2 + 921*s**2 + 1 - 1.
3*s**2
Collect the terms in 3*t**2 - 5*t**2 + 0*t**2 - 8*t**2 + 4*t**2.
-6*t**2
Collect the terms in -16*y + 2*y + 16*y.
2*y
Collect the terms in -112704*a + 2*a**2 + 112704*a.
2*a**2
Collect the terms in 134 - 134 + 13*j.
13*j
Collect the terms in 2*s - 2*s - 714*s**3.
-714*s**3
Collect the terms in 7*u**2 - u**2 + 8*u**2 - 3*u**2.
11*u**2
Collect the terms in 10*r**3 + 0*r**3 - 4*r**3.
6*r**3
Collect the terms in 731*g**2 + 2 - 727*g**2 - 2.
4*g**2
Collect the terms in 61 + 55 - 6*x - 116.
-6*x
Collect the terms in -2 - 2*w**2 - 31*w + 0 + 1.
-2*w**2 - 31*w - 1
Collect the terms in 28*c**3 + 10*c**3 + 18*c**3.
56*c**3
Collect the terms in -88*d**2 - 2 + 1 - 4 + 34*d**2.
-54*d**2 - 5
Collect the terms in -11*c**3 + 19*c**3 + 16*c**3.
24*c**3
Collect the terms in -4 + 746*m**2 + 4 + 790*m**2.
1536*m**2
Collect the terms in -4*z - 3*z + 18*z - 7*z.
4*z
Collect the terms in 131*i - 384*i + 127*i + 126*i + 2*i**2.
2*i**2
Collect the terms in 16*a**2 + 10*a**2 - 8*a**2 - a**2.
17*a**2
Collect the terms in 2653*f**3 - 2648*f**3 - 5*f + 5*f.
5*f**3
Collect the terms in -16*y**2 - 6*y**2 - 20*y**2 - 27*y**2.
-69*y**2
Collect the terms in 153*d - 243*d - 63*d.
-153*d
Collect the terms in 5*l + 419*l**2 - 5*l.
419*l**2
Collect the terms in -25*w**2 + 0*w**2 - 14*w**2.
-39*w**2
Collect the terms in -28*k**2 - 29*k**2 + 107*k**2 - 38*k**2 - 27*k**2.
-15*k**2
Collect the terms in 77*o + 42*o + 44*o.
163*o
Collect the terms in 2*z**2 - 393*z + 393*z.
2*z**2
Collect the terms in -883 + 883 + 4*g.
4*g
Collect the terms in 57809*n - 57809*n + 2*n**3.
2*n**3
Collect the terms in 321 - 646 + 325 - 10*x**3.
-10*x**3
Collect the terms in 14*s**3 + 221 - 444 + 225.
14*s**3 + 2
Collect the terms in -3 + 4 - 122*x**2 - 11*x**2.
-133*x**2 + 1
Collect the terms in -112*j + 58*j + 60*j.
6*j
Collect the terms in 51*k + 43*k - 118*k.
-24*k
Collect the terms in -6*o**3 - 5*o**3 - 4*o**3 + 17*o**3.
2*o**3
Collect the terms in -145*o + 428*o - 141*o - 142*o - 2*o**2.
-2*o**2
Collect the terms in -411*i + 1 + 410*i - 1.
-i
Collect the terms in -12*b**2 - 15*b**2 + 23*b**2.
-4*b**2
Collect the terms in -6530278 + 6*j - 2*j - 3*j + 6530278.
j
Collect the terms in -3*s**2 - s**2 + 4*s**2 + 2*s**2.
2*s**2
Collect the terms in 8998 - 8998 + 86*w**2.
86*w**2
Collect the terms in x**2 + 184*x + 0*x**2 - 184*x.
x**2
Collect the terms in 96*n**2 + 114*n**2 + 103*n**2 + 152*n**2.
465*n**2
Collect the terms in 83*i + 2*i - 2 + 1.
85*i - 1
Collect the terms in 350*c**3 - 172*c**3 - 170*c**3.
8*c**3
Collect the terms in 83*u**3 - 72*u**3 + 8*u - 8*u.
11*u**3
Collect the terms in -17*x + 5*x + x + 15*x.
4*x
Collect the terms in 100*n - 27*n - 28*n - 22*n - 24*n.
-n
Collect the terms in -203*z + 108*z + 93*z.
-2*z
Collect the terms in 4*o - 4*o + 2*o.
2*o
Collect the terms in -9346*x + 8 - 8.
-9346*x
Collect the terms in 2 + 15*y**2 - 12*y**2 - 2.
3*y**2
Collect the terms in -n**3 - 22*n**2 + 4*n**3 + 8*n**2.
3*n**3 - 14*n**2
Collect the terms in -8*x - 8*x + 0*x - 6*x.
-22*x
Collect the terms in 1 + 411*j - 1 - 410*j.
j
Collect the terms in -2*k**3 + 23717*k**2 - 23717*k**2.
-2*k**3
Collect the terms in -39*q - 57*q - 39*q - 45*q + 181*q.
q
Collect the terms in 6*n + 28*n + 40*n.
74*n
Collect the terms in -48*q**2 + 21*q**2 + 18*q**2.
-9*q**2
Collect the terms in 13*z + 588*z**3 - 13*z.
588*z**3
Collect the terms in 5*d**2 - 4*d**2 + 5*d**2.
6*d**2
Collect the terms in 2*i - 67*i - 7*i.
-72*i
Collect the terms in 3*g + 2*g - 8*g + 11*g**2.
11*g**2 - 3*g
Collect the terms in j**2 + 919*j - 1831*j + 912*j.
j**2
Collect the terms in -1413*d - d**2 - 37 + 37 + 1413*d.
-d**2
Collect the terms in -18 - 22 - 5*z + 40.
-5*z
Collect the terms in -23*u + 99 - 99.
-23*u
Collect the terms in 18*m**3 - 12*m**3 - 8*m**3.
-2*m**3
Collect the terms in 2 - 2348078*p**2 - 2 + 2348081*p**2.
3*p**2
Collect the terms in -552*t**2 + 267*t**2 + 284*t**2.
-t**2
Collect the terms in -2*n + n + 151 - n.
-2*n + 151
Collect the terms in -21 - 24 + 69 - 24 - 8*f**2.
-8*f**2
Collect the terms in -11127 + 11127 + 21*r.
21*r
Collect the terms in 4*f - 2*f + 4*f - 12*f.
-6*f
Collect the terms in 28*z**2 + 1637*z - 1637*z.
28*z**2
Collect the terms in 0*m - 16 + 25 + m + 47.
m + 56
Collect the terms in 76273 - 3*n - 76273.
-3*n
Collect the terms in 47*h**3 - 28*h**3 - 23*h**3.
-4*h**3
Collect the terms in -720 + 720 + 10*h**2.
10*h**2
Collect the terms in -4 + 113*g - 8 + 12 - 108*g.
5*g
Collect the terms in 3*r**2 + 3*r**2 + 4 - 4.
6*r**2
Collect the terms in -10 - 2*u**3 + 10.
-2*u**3
Collect the terms in 1 + 190*r - 167*r - 1.
23*r
Collect the terms in 4*h**3 + 3*h**3 - 3*h**3.
4*h**3
Collect the terms in -9*z**3 - 6*z**3 + 17*z**3.
2*z**3
Collect the terms in 8*t**2 - 15*t**3 + 23*t**3 + 0*t**2 - 8*t**2.
8*t**3
Collect the terms in -16*t + 6*t - 7*t.
-17*t
Collect the terms in -33*l - 32*l - 6*l**2 + 104*l - 39*l.
-6*l**2
Collect the terms in 17*h**2 - 56*h**2 + 54*h**2.
15*h**2
Collect the terms in 7*y - 2905316 + 2905316.
7*y
Collect the terms in -27*y + 5 + 13*y + 10*y.
-4*y + 5
Collect the terms in -65*m + 1 + 1 - 15*m + 1.
-80*m + 3
Collect t | {
"pile_set_name": "DM Mathematics"
} |
p = -97 + 130. Let u = p - 40. Is u less than or equal to m?
True
Let y = -13 - -15. Suppose -2*r - 13 = y*f - 45, -5*r = 2*f - 80. Suppose -o + 26*l - 25*l = -15, -2*o + 3*l + 28 = 0. Are r and o nonequal?
True
Let y = 4767 + -4765. Which is smaller: -468 or y?
-468
Suppose -130*w + 37 = 5107. Which is smaller: w or 10?
w
Let r = -44853 + 14218382/317. Which is greater: 0 or r?
0
Let r = -11835 + 11823. Which is smaller: r or -516?
-516
Let m be ((-2)/(-3))/((-174)/(-54) + -3). Let x be (-42)/(-63) - (-13)/m. Which is greater: x or 23/5?
x
Let b = 1.25 - -5.95. Let q = 127.2 - b. Let s = 90 - q. Is s not equal to 2/3?
True
Let c = -5 + 5. Suppose -1 = -3*v + 11. Let n be -2 + v + -1 + -3 + 2. Is c bigger than n?
False
Let m = 2374 - 750. Let b be (m/(-1537) + 1/1)/(-3). Is 0 not equal to b?
True
Let s(i) = 5*i**3 - i**2 - 223*i + 16. Let d be s(-7). Which is bigger: -182 or d?
-182
Let t = -738 - -695.1. Is t >= 4?
False
Let n = -98 - -104. Suppose 0 = -6*h + 3*h + n, -4*x = -2*h + 100. Is x bigger than -24?
False
Suppose -2*c + 4*v + 7 = -c, 3*v + 30 = -2*c. Let a(k) = k**2 + 6*k - 30. Let t be a(c). Are t and -9 equal?
False
Let p be 1/5 + 7/10. Let r be (-133)/(-21) + -4 + (-5)/(-45)*-3. Which is bigger: r or p?
r
Let i = -76 + -77. Let x = 155 + i. Which is greater: -12 or x?
x
Let g = -5.6871 - -0.0071. Let q = -5.38 - g. Which is smaller: q or -2/5?
-2/5
Suppose 2 = 5*i - 3. Let o be i + -2*(-76)/(-88). Suppose 4*d + 4 = 4*n + 8, 0 = -d + 2*n + 3. Which is bigger: d or o?
o
Suppose -2*w - 3*i + i - 8 = 0, 14 = -5*w - 2*i. Let o be (1 + 4/4)*(-7)/w. Which is bigger: o or 2/13?
o
Let t be -1*(9/3 - (7 + -3)). Let k be (16/(-14))/((-10)/35) + 12. Let b be (-8)/k + (-26)/(-76). Which is greater: b or t?
t
Let o(i) = 15*i + 8*i - 26*i + 42*i + 60. Let a be o(-7). Do a and -212 have different values?
True
Let k(n) = 3*n - 31. Let a be k(11). Suppose -4*u - 196 = 4*h, -a*h - 45 = u - 5*h. Let r be -2*3/u - (-5 - -10). Is r at most as big as -6?
False
Let h = 14/17887 + -154513/174559233. Which is greater: h or 0?
0
Let r(n) = -9*n + 56. Let m be r(5). Let t(y) = -11*y + 46. Let x be t(m). Let w be ((-4)/681)/(50/x). Which is bigger: w or 1?
1
Let f = -2 - -6. Suppose -127 - 1 = f*y. Let v = 127/4 + y. Which is smaller: -1 or v?
-1
Let p = 487 + -340. Let m = 148 - p. Is m less than 2/625?
False
Suppose h = -1, -m - 4*m = 2*h + 2. Let o be 2/(-5 + (-895)/15). Is o greater than or equal to m?
False
Let r(q) = -28*q**2 - q + 2. Let v(w) = w**2 + w. Let n(b) = -r(b) - 3*v(b). Let z be n(-1). Suppose -2*h - 3 + z = 0. Is h > -2?
True
Suppose -62*b = -16*b. Let m = 136022/33 - 4121. Which is greater: b or m?
m
Suppose -6*p - 3*b - 6 = -3*p, 4*p - 4*b + 16 = 0. Let u = 44 - 23. Let v be 2/(-7) - 15/u. Which is smaller: p or v?
p
Let b = -194/29 + 553/87. Let n be (-2)/6 - 2782/6792. Let u = -2/283 + n. Are b and u equal?
False
Let a(z) = 115*z + 231. Let v be a(-2). Is v >= 2/2331?
True
Let x(y) = y**2 - y. Let u be x(1). Suppose 0*i - i = u. Let h = 13080 - 117722/9. Are h and i nonequal?
True
Let p be 4/288*23259 - 2/(-1). Let h = -325 + p. Is 1 != h?
True
Let j be (72/108)/(2/(-3) - -1). Suppose m - 10*d + 147 = -5*d, -j*m - 4*d - 336 = 0. Which is smaller: -163 or m?
-163
Suppose -17*f + 227 = 193. Which is bigger: f or 77/43?
f
Let t = -280/87 - -275974/85695. Which is greater: t or 1?
1
Let p be (-1)/(18/(-10) + 2). Let r(o) be the first derivative of -o**4/4 - 5*o**3/3 + o**2 + 3*o - 169. Let k be r(p). Which is greater: -2 or k?
-2
Let a = 65388 + -65389. Let o be (2 - 6/(-206)) + -2. Which is bigger: a or o?
o
Let c be (-12)/21 - 16852806/(-30143302). Let y = c + 3/6389. Is y greater than 1?
False
Let w = -72.6 - -42.6. Is w at least as big as 0.52?
False
Let h = -52703 + 52718. Suppose 0*k = -k + 24. Which is smaller: k or h?
h
Suppose 0*p - 680 = 17*p. Which is bigger: -36 or p?
-36
Let p = -237 + 85. Let k(j) = j**3 - 15*j**2 + 31*j - 9. Let a be k(11). Is p at least as big as a?
True
Let c = 1983.91 + 519.04. Let l = c + -2435. Let k = l - 68. Is k > -1?
True
Suppose -4*t - 12 = -6*t. Suppose t*x - 4*i = 10*x, 0 = 3*x + 2*i. Which is smaller: 4 or x?
x
Let w = -589 + 585. Let q be 57/6 - 8 - (-6)/w. Which is greater: q or 2/871?
2/871
Let n(g) be the first derivative of 33*g**2 - 50*g + 44. Let m be n(2). Which is bigger: 81 or m?
m
Let m = -6707 - -6707.027. Let c = -18/5 + 116/35. Which is smaller: c or m?
c
Let u be (-33)/(-17) + (-74)/(-1258). Let x be (0 - 16)/u + 7. Is -3/127 < x?
False
Let j(f) = -4*f**3 - 6*f**2 - 5*f. Let u be j(-1). Let p(n) = -22*n + 66. Let s be p(u). Are -1/99 and s nonequal?
True
Suppose -p - 5 + 14 = 0. Suppose 0 = -k + p + 41. Let d be (2/10)/((-10)/k). Are -7/4 and d non-equal?
True
Let n = -371/8 + -21467/56. Is -431 at least as big as n?
False
Suppose 56*y - 6176 = 51*y + 3*g, -3*g + 4930 = 4*y. Is y greater than or equal to 1221?
True
Let j be 1 + -4 - ((964 - 14) + -20). Are j and -4658/5 unequal?
True
Let x(j) = -13*j + 72. Let b be x(12). Let p = 90 + b. Suppose -t + 0 = -5. Which is smaller: t or p?
t
Let c = -27528 + 27528. Are c and -17081 equal?
False
Let o = -4047 - -3973. Which is smaller: o or 4/3?
o
Let c be (-1)/8 - (-43584)/324096. Is c >= -82?
True
Let j = -60 + 94. Let y = -78 - -78.164. Let o = 0.036 + y. Which is bigger: j or o?
j
Let k be 13187 + (-132)/(-99)*63/12. Is k bigger than 13194?
False
Let g be ((-4)/(8/(-26)))/(26/(-3) + 9). Is g not equal to 50?
True
Let n = -27 - -32. Suppose -152 = o - n*o. Suppose 2*h - m = 2*m + 19, -3*h - 5*m = -o. Is h > 11?
False
Let w = -6568.1 - -6567. Which is smaller: w or 0.256?
w
Let f = -3.18 - 45.02. Let c = -48 - f. Is 60 >= c?
True
Let i = 4 + -13. Let a = -426 + 431.86. Let k = -5.66 + a. Is i equal to k?
False
Let k be (2/(-3))/((-2)/31). Let v(t) = -1014*t - 8101. Let m be v(-8). Are k and m unequal?
True
Let n(h) = 2*h - 4. Let d be n(-5). Let o be (2 - d/(-6)) + -1. Let t = -1694.2 - -1694. Which is greater: t or o?
t
Suppose 5*t + 5*o - 181 + 211 = 0, t - 2*o - 9 = 0. Is t greater than -82?
True
Let l = 64 + 63. Let k = -126.99 + l. Let t = -0.39 - k. Is t at most as big as -0.9?
False
Let y = -10349/237615 + -28/1095. Are 0 and y non-equal?
True
Let q = 49/11877 - 13899373/795759. Which is bigger: -16 or q?
-16
Let b(o) = 145*o + 8. Let a be b(7). Let q = 5136/5 - a. Let d = 172 + -168. Which is greater: d or q?
q
Let q = -43571/16 - -2720. Are q and 0.04 nonequal?
True
Let j(s) = -20*s + 8. Let y be j(-4). Let l be y/21*(-9)/12. Let t = -42 + 40. Which is bigger: t or l?
t
Let s = 371/5 + -727/10. Is s at most as big as 5?
True
Let k = 5.1 - 4.9. Let u = 2 + 5. Let p = u + -6. Which is greater: k or p?
p
Let l = -11668.787 - -11675. Let y = 0.013 - l. Let u = -2.2 - y. Which is smaller: u or -0.4?
-0.4
Let y(b) = 2*b**3 + 77*b**2 + 457*b + 22. Let k be y(-8). Is 253 bigger than k?
False
Suppose -125*y = -124*y - 90. Let r be y/108 + 2 + 10/(-6). Does 2 = r?
False
Let i(z) be the second derivative of -z**5/20 + 5*z**3/6 + 7*z**2/2 - 3106*z. Suppose 2 = k - 1. Let w be i(k). Do -39/8 and w have different values?
True
Let l = 953 + -949. Suppose 5*v - 620 = 5*g, -l*g = -13 - 3. Is 131 greater than or equal to v?
True
Let v(u) = 6*u**2 - 3. Let p be v(1). Suppose 15 = -4*n + p*n. Is -18 <= n?
True
Suppose -75515 = 173*o - 764221 + 3626. Which is smaller: 3961 or o?
o
Suppose 0 = 4*u - 2*u - 4*y - 266, 0 = -3*u - 2*y + 415. Suppose 0 = 2*r - 4*x - 70, -2*x = -3*r + u - 28. Which is bigger: 39 or r?
39
Let z be (2/(16/114))/((-59)/236). Do 1 and z have different values?
True
Let h = 35 - 37.01. Let b = 5.01 + h. Which is smaller: -0.3 or b?
-0.3
Let i = -66 - 5. Let a = -70.8 - i. Let t = 1 + 5. Which is smaller: t or a?
a
Let n = 153 + -148. Suppose -4*q = -2*i - 30 - 460, 1205 = -5*i + n*q. Is i at least as big as -237?
True
Suppose 172*n + 182*n = 335*n. Is -20/2447 less than n?
True
Let y be (6/4 + -1)*0. Suppose -12*j - 90 + 102 = y. Is j < 1/696?
False
Let u = -82 + 92.7. Let t = u + -9.7. Which is smaller: -1.49 or t?
-1.49
Let q(n) = n**2 + 11*n + 15. Let g be q(-10). Let t be g/(-5)*(-5 - (-156)/27). Is t bigger than -1?
True
Let h = -76 - 761. Let m be (h/(-1692))/((-4)/32) - -4. Which is smaller: m or 1?
m
Let x be (-386 | {
"pile_set_name": "DM Mathematics"
} |
-383/5. Let f(g) be the first derivative of 0*g**2 + x*g**5 - 2 + 1/3*g**3 + 0*g + 0*g**4. What is the third derivative of f(a) wrt a?
72*a
Let h = 8 + -3. Let c be 5*(12/h)/2. Find the third derivative of 3*o**6 - 2*o**2 + 0*o**c + 3*o**2 wrt o.
360*o**3
Let a(j) be the third derivative of -1/24*j**6 + 0 + 1/12*j**5 + j**2 + 0*j**4 + 0*j**3 + 0*j. Find the third derivative of a(n) wrt n.
-30
Suppose 12 = 4*q - 2*q. Suppose -10 = -q*v + v. Differentiate 1 + v + 0*t + 2*t - 5*t with respect to t.
-3
Let j(s) be the second derivative of -3*s**5 + 25*s**4/6 + 5*s - 2. What is the third derivative of j(h) wrt h?
-360
Let i(a) be the second derivative of a**3/6 + 2*a**2 + 3*a. Let c(y) = 4. Let r(m) = 4*c(m) - 3*i(m). Find the first derivative of r(j) wrt j.
-3
Let a = 7 + -5. Suppose 0 = 2*w + 3*w - 45. What is the second derivative of -9*k**3 + 2*k**4 + a*k + w*k**3 wrt k?
24*k**2
Differentiate -5*r - 3*r + 5*r + 5 + r with respect to r.
-2
Find the third derivative of 5 - 5 - 4*t**5 + 8*t**2 - 2*t**2 wrt t.
-240*t**2
Let d(y) = -4*y**2 + 2. Let u(h) = -5*h**2 + 3. Let v(p) = -4*p**3 + p - 1. Let q be v(1). Let f(m) = q*d(m) + 3*u(m). Find the first derivative of f(r) wrt r.
2*r
Let n(w) = -w**2 + w. Let i(c) = -7*c**2 + 6*c. Let o(g) = i(g) - 4*n(g). Find the second derivative of o(l) wrt l.
-6
Let g be 0/(0 + (-1 - -2)). Suppose 5*k - 5 - 15 = 0. What is the second derivative of -b**4 + 2*b + g*b - b**k wrt b?
-24*b**2
Suppose -7*j = -9*j + 4. Differentiate -5*d + 7*d + 4*d - j - 2 wrt d.
6
What is the derivative of -13 - 12 + 3 + 17*f**4 wrt f?
68*f**3
Let l(f) = -4*f**4 + 3*f**2 - 2. Let w(n) = -7*n**4 + 7*n**2 - 5. Let u(g) = -5*l(g) + 2*w(g). Find the third derivative of u(s) wrt s.
144*s
Let u = -39 - -41. Let k(f) be the second derivative of 1/2*f**u + 1/6*f**4 + 0*f**3 + 0 - f. What is the first derivative of k(q) wrt q?
4*q
Suppose -2*v - 2*v + 10 = f, 2*f + 2*v = 8. Let q = -7 + 7. What is the second derivative of -f*w + q + 0 - w**5 wrt w?
-20*w**3
Let b = -16 - -18. Find the third derivative of 8*u**2 + 2*u**b + 0*u**6 - 4*u**6 - 4*u**2 wrt u.
-480*u**3
Let a(d) = -2*d - 10. Let j be a(-6). Let v(o) be the first derivative of 0*o**j + 0*o + 3 + 2/3*o**3 - 3/4*o**4. What is the third derivative of v(b) wrt b?
-18
Let z(g) be the first derivative of -g**9/756 - g**6/60 + g**3 - 5. Let o(w) be the third derivative of z(w). What is the third derivative of o(s) wrt s?
-240*s**2
Find the third derivative of n**2 - 2*n**2 - 3*n**2 - 6*n**3 + 0*n**3 wrt n.
-36
Find the first derivative of 45*m - 45*m - 25 - 34*m**4 wrt m.
-136*m**3
Find the second derivative of 6*s**3 + 33*s - 30*s + 0*s**2 + 0*s**2 wrt s.
36*s
Let a(k) be the third derivative of -k**6/720 + k**5/30 + k**4/6 + 3*k**2. Let s(w) be the second derivative of a(w). Differentiate s(p) with respect to p.
-1
Let c(h) = 29*h**3 + 125*h**2 - 11. Let q(s) = 6*s**3 + 25*s**2 - 2. Let d(a) = -2*c(a) + 11*q(a). What is the third derivative of d(v) wrt v?
48
Let c(g) = 10*g**4 - 2*g**3 - 19*g**2. Let r(u) = -69*u**4 + 15*u**3 + 132*u**2. Let b(n) = -15*c(n) - 2*r(n). What is the third derivative of b(k) wrt k?
-288*k
Let j(s) be the first derivative of -7*s**6/3 - 6*s**2 - 10. Find the second derivative of j(o) wrt o.
-280*o**3
Let m(j) be the third derivative of -17*j**5/60 - 2*j**3 - 25*j**2. Differentiate m(c) wrt c.
-34*c
Let w be (-2)/(-4)*-1*0. Let h(s) be the first derivative of -1/4*s**4 + w*s + 0*s**2 - 2/3*s**3 - 2. What is the third derivative of h(i) wrt i?
-6
Let h(d) = d - 3 - d**2 + 3 - d**2. Let n(q) = 2*q**2 - 2*q. Let o(j) = -5*h(j) - 4*n(j). What is the second derivative of o(f) wrt f?
4
Let l(r) be the second derivative of r**6/15 + 31*r**3/6 + 30*r. Find the second derivative of l(u) wrt u.
24*u**2
Suppose 2*b = 6*b - 28. What is the second derivative of 7 + 6*c - b + 5*c**4 wrt c?
60*c**2
Let d(x) = 6*x**2 + 3*x + 7. Let h(l) = -2*l**2 - l - 2. Let c(r) = 6*d(r) + 21*h(r). Find the second derivative of c(z) wrt z.
-12
Let q be 2 + -2 + 1 + 2. Suppose -q + 13 = 5*z. What is the third derivative of -z*w - w**6 + 2*w - 2*w**2 wrt w?
-120*w**3
Differentiate 2*u**2 + 7 - 6*u**2 + 25*u - 25*u with respect to u.
-8*u
Suppose -2*u = -7*u + 15. What is the third derivative of -2*g**u + 9*g**3 - 2*g**2 - 11*g**3 wrt g?
-24
What is the second derivative of -29*y + 9*y - 7*y + 18*y**4 wrt y?
216*y**2
Find the third derivative of -14*y**5 + 41*y**5 - 19*y**5 - 23*y**5 - 29*y**2 wrt y.
-900*y**2
What is the derivative of 4 - z - 8 - 3*z wrt z?
-4
Find the second derivative of -5*i + 2*i + 3*i**2 + 6*i + 2*i wrt i.
6
Let n(x) = -7*x + 6. Let y be n(-5). What is the third derivative of -3*g**2 + 39*g**5 - 3*g**2 - y*g**5 wrt g?
-120*g**2
Let v(z) be the third derivative of -2*z**7/105 + 7*z**3/6 + 2*z**2. Find the first derivative of v(d) wrt d.
-16*d**3
Let u(j) = j**2 + 1. Let f(n) = -3*n**2 - 8. Let m(a) = f(a) - 3*u(a). Find the first derivative of m(l) wrt l.
-12*l
Let v(j) = j**3 + 9*j**2 - j - 6. Let p be v(-9). Suppose 0*x + p*x - 18 = 0. Differentiate 8*k**4 + 3 - 5*k**4 - x + 5 with respect to k.
12*k**3
What is the derivative of -5 + 41*m**3 - 74*m**3 + 43*m**3 wrt m?
30*m**2
What is the third derivative of -17*c**3 + 25*c**2 - 13*c**2 + 17*c**2 wrt c?
-102
Let v(y) be the first derivative of -5*y**7/21 + y**4/4 + 8*y + 6. Let i(u) be the first derivative of v(u). What is the third derivative of i(g) wrt g?
-600*g**2
Let n(l) be the first derivative of -7*l**4/4 - 7*l**2/2 + 1. What is the second derivative of n(z) wrt z?
-42*z
Let f(h) be the second derivative of 3*h**4/2 + 8*h**2 + 12*h. What is the derivative of f(q) wrt q?
36*q
Let a(y) = y**3 - y**2 - y. Let v(m) = -7*m**3 + m**2 + m + 13. Let g(s) = -a(s) - v(s). Differentiate g(c) with respect to c.
18*c**2
Let b be 1 + 2 + 12/(-4). Let d(p) = p**2 + 4*p - 3. Let o be d(-5). Find the second derivative of -n**4 + b*n**4 + 0*n - o*n wrt n.
-12*n**2
Let v(o) be the third derivative of o**8/336 - o**4/12 + o**3/2 - o**2. Let q(j) be the first derivative of v(j). What is the derivative of q(i) wrt i?
20*i**3
Find the third derivative of -b**4 + 3*b**2 - 7*b**2 - 5*b**4 + b**2 wrt b.
-144*b
Let k(f) be the first derivative of -f**5 + 3*f**3 + 5. What is the third derivative of k(o) wrt o?
-120*o
Let h(s) = -s + 8. Let f be h(4). Suppose -4*k = 3*b + 8, -2*b + f*k = 2*b - 36. What is the third derivative of -2*q**5 + 2*q**2 + 3*q**5 - b*q**2 wrt q?
60*q**2
Let w(v) be the third derivative of v**5/120 - v**4/12 - v**3/2 + 2*v**2. Let l(q) be the first derivative of w(q). Differentiate l(h) with respect to h.
1
Let t(i) = 6*i - 9. Let f(x) = x - 1. Suppose -3*p + 28 = -p. Let b(s) = p*f(s) - 2*t(s). What is the first derivative of b(j) wrt j?
2
Let d(h) = h**3 + h**2 + h - 1. Let b(s) = -8*s**3 + 2*s**2 - 4*s + 4. Let q(m) = b(m) + 4*d(m). Find the third derivative of q(o) wrt o.
-24
Let j(a) = a**2 + a - 1. Let y(l) = 47*l**2 + 2*l - 51. Let t(v) = 2*j(v) - y(v). What is the first derivative of t(d) wrt d?
-90*d
Let o = 1 + 3. Suppose 5*r - 6 = 3*r - 2*s, 0 = 5*r - o*s - 6. Differentiate 4*w - r - 4*w - w wrt w.
-1
Let k = 61/2 - 30. Let b(f) be the third derivative of k*f**3 + 1/60*f**6 + 3*f**2 + 0*f**5 + 0*f**4 + 0*f + 0. Find the first derivative of b(c) wrt c.
6*c**2
Differentiate 6*y**2 - 19*y**2 + 15 - 37 - 20 wrt y.
-26*y
Let w(f) = -f - 4. Let s be w(-3). Let n be 0*((-1)/s)/(-2). Find the third derivative of n*r**2 - 5*r**4 + 6*r**4 + r**2 wrt r.
24*r
Let p be (24/9)/(2/3). Suppose 0 = p*t - 16, -2*a + t - 12 = -3*t. Differentiate -a + 5 - 3 + 2 + 3*q wrt q.
3
Let k(z) = -21*z**6 + 7*z**3 - 3*z**2. Let j(s) = -22*s**6 + 6*s**3 - 2*s**2. Let r(g) = -7*j(g) + 6*k(g). Find the third derivative of r(x) wrt x.
3360*x**3
Let b(d) be the third derivative of -d**7/35 + d**4/2 + 6*d**2. What is the second derivative of b(x) wrt x?
-72*x**2
Find the second derivative of 3*h + 2*h**4 - h**4 - 4*h**4 wrt h.
-36*h**2
Let p(u) be the third derivative of -11*u**7/105 - u**4/4 + 20*u**2. Find the second derivative of p(g) wrt g.
-264*g**2
Let s(q) be the second derivative of -q**3/6 - 2*q**2 + 2*q. Let g(p) = -p - 1. Let n(a) = 6*g(a) - 2*s(a). Differentiate n(b) wrt b.
-4
Let z(k) be the second derivative of -1/20*k**5 + 1/ | {
"pile_set_name": "DM Mathematics"
} |
**2 + 8*l - 2. Let z be a(h). Solve -z = 5*n - 0*n for n.
-1
Let o be ((-4)/6)/((-10)/(-75)). Let p = 0 - o. Solve p*w - 3*w = 10 for w.
5
Let k = 11 + -8. Suppose -k = 2*n - 3*n. Solve -6*v + n = -3*v for v.
1
Let y(w) = w + 21. Let g be y(-16). Solve 8 = -g*h - 2 for h.
-2
Let p(t) = -t**3 + 6*t**2 + t - 5. Let s be p(6). Solve 0 = r - s + 2 for r.
-1
Let y = -1 + 5. Suppose -y*p + 15 = -3*p. Let o = p - 6. Solve -o = -3*d + 6*d for d.
-3
Let l be ((-21)/2)/3*-2. Suppose -3*q - 4*k + 6 + l = 0, q + 2 = 5*k. Suppose -3*i = 3*x - 15, -q*x - 2*i + 12 = -2. Solve -4*g - x = 12 for g.
-4
Let g = 12 + -10. Suppose 2*i - 9 = -1. Solve -g*s - 2 = -i*s for s.
1
Suppose 5*p - 5*j + j = -33, 3*p - 5*j + 25 = 0. Let h be (p - -2)/(-3)*3. Solve -2 - 1 = -h*r for r.
1
Suppose 1 - 9 = -4*f. Solve 18 = -5*a - f for a.
-4
Let c = 5 + -5. Let h be (2 - c) + 1 + 13. Solve -2*v - 2*v = h for v.
-4
Suppose 2*u = -5*u + 35. Solve -u*a = -a - 12 for a.
3
Let v(s) = -s**3 - 3*s**2 - 3*s + 1. Let b be v(-2). Solve 4*p - p + b = 0 for p.
-1
Let l(c) = -c**3 + 6*c**2 + c - 5. Let n be 0/1 - (-3 - 3). Let h be l(n). Suppose 2*w + h = 9. Solve w*q - 7*q = 15 for q.
-5
Let c(f) = f**3 + 4*f**2 + f + 6. Let i be c(-4). Solve -h = -i*h for h.
0
Let u(t) = t**3 - 3*t**2 + t - 2. Let f be u(3). Suppose -f + 11 = 5*i. Solve -5*q + i + 23 = 0 for q.
5
Let a(d) = 6*d. Let z be a(2). Solve -3 - z = 3*l for l.
-5
Let d(c) = c**2 + c. Let n be d(2). Solve -4*x + n = -6*x for x.
-3
Suppose 5*t = 2*a + 32, -5*a - 12 = -0*t - 4*t. Suppose -3*d + 3*p = -2*p + t, -d + p = 0. Solve d*k - 5 = 7 for k.
3
Suppose 4 = m, -14 = -5*s + 3*s - m. Solve s*k = -5 - 15 for k.
-4
Let v(k) = -k**2 - 13*k - 4. Let j be v(-12). Solve 7 = -3*x - j for x.
-5
Suppose -3*h = 2*v - 11, 3*h + 3*v - 7 = -v. Suppose 4*g - 7 - 1 = 0, t - 3*g = 2. Let k be (t/(-10))/(h/(-125)). Solve -4 = -4*l - k for l.
-4
Let h = -9 - -15. Let m be ((-3)/6)/(-1)*h. Solve m*a - 20 = -a for a.
5
Suppose -101 = 10*n - 301. Solve -n = 2*m + 2*m for m.
-5
Let d be (1 - 4)*(-3)/(15/5). Solve 0*z = -d*z + 9 for z.
3
Let m be (-18)/(-24) + (-4)/(-16). Solve -m + 2 = -c for c.
-1
Let b(l) = -l**2 + 10*l - 10. Let j be b(8). Solve j*h - 12 = 2*h for h.
3
Suppose 0*s = s - 12. Let h be (1/(-2))/((-2)/s). Solve -15 = -h*k - 0 for k.
5
Let q be 2/((20/(-6))/(-5)). Suppose 3*v - 11 = 5*j + 14, -q*v - 10 = 2*j. Suppose -4*g + 4*f = 0, -5*f + 12 = g - v*f. Solve 0*c + g*c + 10 = 0 for c.
-5
Let z = -47 - -50. Solve -2*k + 10 = z*k for k.
2
Suppose 6*l - 11*l = 0. Solve l + 2 = -x for x.
-2
Let l(h) = -h**2 - 3*h + 4. Let t be l(-4). Solve t*s - 3*s - 6 = 0 for s.
-2
Let u(z) = z**2 - 7*z + 2. Let a be u(6). Let f = a + 1. Let j = -3 - f. Solve -i + 2*i = j for i.
0
Suppose -2*d + 13 - 9 = 0. Suppose -d*s = -4*s. Solve s = -5*x + 1 + 4 for x.
1
Let w = 8 - 4. Solve k - w = 2*k for k.
-4
Let y be 96/15 - (-4)/(-10). Suppose 4*f = -y + 2. Let x be (0/(f + -2))/(-2). Solve x = -a - 4*a + 10 for a.
2
Suppose -6*x = -26 - 10. Solve -i - 25 = -x*i for i.
5
Let o(y) = -y - 2*y - y**2 + 4 + 6*y**2 - 3*y**3. Let p(l) = 2*l**3 - 6*l**2 + 4*l - 5. Let k(f) = 5*o(f) + 4*p(f). Let t be k(-1). Solve 4 = -w + t for w.
3
Suppose -2*s + 4*s - 328 = 0. Suppose 0 = 3*l + l - s. Suppose 2*b = 5*b - y - l, b = -2*y + 16. Solve -2*o = b - 6 for o.
-4
Let k = 68 - 63. Solve -h = -k*h for h.
0
Let s(j) = 7*j. Let n(p) = -20*p + 1. Let y(h) = -6*n(h) - 17*s(h). Let b be y(10). Solve -d - b*d - 25 = 0 for d.
-5
Let w be (2/(-6) - 1)*30/(-20). Suppose -p = 3*g + 9, -g = -5*g + 3*p + 1. Let n = g + w. Solve 10 = 5*f - n*f for f.
2
Let v be 0/(-2 + (-1 - -1)). Let z(l) = -l - 3. Let j be z(-3). Let i = j - v. Solve 0*q + 4*q + 8 = i for q.
-2
Suppose -5*p + 7 = -43. Let m = p + -5. Suppose 3*x = m*x. Solve x = -4*c + 8*c for c.
0
Suppose 0 = -4*a + 3*z + 5, a = -a - z + 5. Solve 2 = q - a for q.
4
Let i = 15 + -13. Suppose -3*t = -10 - i. Solve 0 = 2*l - 0 - t for l.
2
Suppose 0 = -2*y - 2, 4*y = -3*k - 4 - 18. Let b(a) = -a - 3. Let f be b(k). Let v be f/(-6)*(-1 + -3). Solve 5 = v*i - 1 for i.
3
Suppose 2*v = 3 - 1, 3*i + 4*v - 10 = 0. Let j be 1 - (i + (-2 - 0)). Suppose 5*c - 13 = 7. Solve -r - c = j for r.
-5
Let x be -2*(-1)/(-1) - -4. Solve x*g = -3*g for g.
0
Let h(t) = -t**2 - 7*t + 8. Let d be h(-8). Solve d = 2*q - q - 1 for q.
1
Let x = 9 - 3. Let y be (-32)/20*(-10)/4. Suppose 4*t + 2 = 5*t. Solve t*b + x = y*b for b.
3
Let y(x) = x - 1. Let u be y(6). Solve 0 = -2*l + 1 + u for l.
3
Let g be 3 - 5/1 - -6. Solve -14 = g*t + 2 for t.
-4
Let v be 88/20 + (-2)/5. Suppose 2*k - 20 = -5*h, 0 = -2*h + 5*k + v + 4. Solve h - 3 = -j for j.
-1
Suppose -y + s + 7 = 3*y, -17 = -2*y + 5*s. Let j be y + 0 + -2*1. Let w be (j + 0)/((-1)/4). Solve w*i - 3*i = 0 for i.
0
Suppose 0 = r - 0 - 1. Let y(s) = s**2 - 4*s - 8. Let l be y(6). Let p be -1 + 1 - l*-1. Solve -9 + r = p*z for z.
-2
Suppose -4*f - 6 = -2*b + 16, 3*f = -5*b + 16. Suppose b*a = z + 40, -5*a = 2*z - 35 - 20. Solve 0*o - 3*o = a for o.
-3
Let c be (1 + (4 - 5))/3. Let k = 0 - c. Solve -w - 4 + 2 = k for w.
-2
Let s = 44 - 41. Solve 0*a - s*a = 12 for a.
-4
Let i(d) be the first derivative of -3*d**2/2 - 6*d + 1. Let m be i(-4). Let y be (-1 + 3)/(m - 5). Solve v = -y*v - 3 for v.
-1
Suppose -v - 4 = 3*v, 5*w = -4*v + 6. Solve 5*b + 13 = -w for b.
-3
Suppose 3*x - 193 + 187 = 0. Solve -3*g = -x + 17 for g.
-5
Let f(x) = -x. Let l be f(-2). Solve -5*z - 18 = l for z.
-4
Suppose u - 6 = 3*j - 0, -4*u - j = -11. Suppose 0 = 4*b + 2 - 26. Let g = b + -6. Solve g = 3*z - 2*z - u for z.
3
Let s = -22 - -24. Solve -4*n - 6 + s = 0 for n.
-1
Suppose 3*s = 5*t + 46, -2*s + 7 = t - 2. Let f = 4 - 2. Let p = -13 + 38. Solve f*c - s*c = p for c.
-5
Suppose f = -0*f. Let w be (f - (-1 + 0)) + 1. Suppose -2*o - 2 = -3*o, 0 = -5*i - w*o + 49. Solve -4*c + i = -c for c.
3
Let i(r) = r**2 - 2*r - 5. Let k be i(4). Suppose 0 = -0*c + k*c. Solve c = -2*o - o - 9 for o.
-3
Let p(c) be the second derivative of -c**4/12 - c**3/3 - c**2/2 - 5*c. Let v be p(-1). Solve 0 = -v*j - 5*j - 10 for j.
-2
Let r = 19 - 28. Let c(x) = -4*x - 21. Let h be c(r). Solve 5 - h = -5*u for u.
2
Suppose 4*a = -12, -1 = -4*o - 3*a - 2. Let n(v) = 5*v**3 + 2*v**2 - v. Let y be n(1). Suppose -5*m + 9 + y = 0. Solve -o = m*z + 7 for z.
-3
Suppose -5*u - 24 = 4*y, -4*y + u - 16 - 32 = 0. Let n be y/(-5) - 2/10. Solve -18 - n = -5*v for v.
4
Let i = 6 + -4. Let y be ((-1 + i)*0)/(-1). Suppose -3*h = 2*a - 21, y = -5*a + 2*a - 2*h + 19. Solve a = 6*l - 3*l for l.
1
Suppose 6*t - 13 = t + j, -3*t - 5*j = 9. Suppose -3*g + 45 = 2*g. Solve t*d = -d + g for d.
3
Let j be (-8)/1*(-8)/16. Solve j - 6 = z for z.
-2
Let y be (-5)/2*8/(-10). Suppose 0 = p - 1 + y. Let k be (2/(-5))/(p/5). Solve 0 = -4*s - 6 + k for s.
-1
Let n(s) = s**2 + 4*s + 2. Let p be n(-4). Solve -3 = -5*c + p*c for c.
1
Suppose -2*x - m + 14 - 5 = 0, -21 = 2*x - 5*m. Let a = x + 3. Let b be a - 1*2/2. Solve -b*q + 16 = -8*q for q.
-4
Let m(y) = 40 + 12*y - 4*y - 3*y**2 + 4*y**2 - 31. Let v be m(-7). Solve v*n = -0*n + 6 for n.
3
Suppose -3*l + 2*v + 50 = 0, 22 + 3 = 5*v. Solve 6*x = x + l for x.
4
Suppose -3*k - q + 5 = 0, k + 4*q - 20 = -2*k. Solve 5*y - 10 + 35 = k for y.
-5
Let h(g) = -g**3 - 5*g**2 + 3*g + 2. Let x be h(-7). Suppose 3*y = 2*m + 35, 5*y - x = 2*m - 26. Solve y = -5*k + 2*k for k.
-3
Let y(h) = -2*h - 7. Let c be y(-6). Solve -3 = u - c for u.
2
Let i(c) be the first derivative of -c**2/2 + c - 1. Let k be i(-4). Suppose j + 12 = k*j. Solve j*n - 2 = n for n.
1
Let u be (-10*3/6)/(-1). Let y(i) be the third derivative of i**5/60 + i**4/12 - 5*i**3/3 - i**2. Let k be y(-7). Solve 0 = -0*g - u*g + k for g.
5
Let d(h) = -h + 16. Let c be d(13). Let v = 8 - c. Solve 15 = v*i - 10 for i.
5
Let g = 0 - 3. Let f be g/9 + 13/3. Suppose 0 = 2*o + 6 - 10. Solve 2 = -o*v - f for v.
-3
Let b = -111 - -118. Let x(k) = k**3 - 5*k**2 + 5. Let r be x(5). Solve 8 = r*w - b for w.
3
Let b = -5 - -8. Suppose -2*g + 10 = b*g. Suppose -g*o + 10 + 2 = 0. Solve -5*u + o*u = -1 for u.
-1
Let o(g) = -5*g**3. Let m be o(-1). Solve -m*l + 11 = 31 for l.
-4
Suppose 0 = -0*h + h + 5*g - 9, 2*g + 42 = 2*h. Let b = 10 - 14. Let f = 7 + b. Solve f*p - 4 = -h for p.
-5
Let q = 48 - 43. Solve 0 = -y + | {
"pile_set_name": "DM Mathematics"
} |
here between 9:04 PM and 7:11 AM?
607
What is 353 minutes after 5:14 AM?
11:07 AM
How many minutes are there between 3:12 PM and 10:54 PM?
462
How many minutes are there between 7:08 AM and 8:17 AM?
69
How many minutes are there between 12:02 AM and 10:57 AM?
655
How many minutes are there between 5:39 AM and 8:53 AM?
194
What is 144 minutes before 5:07 AM?
2:43 AM
How many minutes are there between 8:51 PM and 7:00 AM?
609
How many minutes are there between 9:43 AM and 8:06 PM?
623
How many minutes are there between 5:09 AM and 4:34 PM?
685
How many minutes are there between 4:45 PM and 4:00 AM?
675
How many minutes are there between 4:34 PM and 7:51 PM?
197
What is 623 minutes before 8:17 PM?
9:54 AM
How many minutes are there between 5:45 PM and 8:23 PM?
158
What is 160 minutes after 1:32 AM?
4:12 AM
What is 305 minutes before 5:12 PM?
12:07 PM
How many minutes are there between 9:38 AM and 8:05 PM?
627
What is 572 minutes before 1:15 PM?
3:43 AM
How many minutes are there between 1:30 AM and 5:40 AM?
250
How many minutes are there between 1:39 PM and 9:47 PM?
488
What is 669 minutes after 3:44 AM?
2:53 PM
How many minutes are there between 4:44 AM and 10:37 AM?
353
What is 355 minutes before 5:22 AM?
11:27 PM
How many minutes are there between 7:51 AM and 12:42 PM?
291
How many minutes are there between 10:07 PM and 5:50 AM?
463
How many minutes are there between 12:38 AM and 11:33 AM?
655
How many minutes are there between 5:14 AM and 3:00 PM?
586
How many minutes are there between 2:49 AM and 5:42 AM?
173
What is 202 minutes after 8:10 PM?
11:32 PM
How many minutes are there between 12:00 PM and 6:54 PM?
414
How many minutes are there between 1:55 PM and 8:54 PM?
419
What is 63 minutes after 3:24 AM?
4:27 AM
How many minutes are there between 9:24 AM and 2:16 PM?
292
How many minutes are there between 2:29 PM and 5:15 PM?
166
How many minutes are there between 1:28 AM and 2:03 AM?
35
How many minutes are there between 7:20 PM and 1:27 AM?
367
How many minutes are there between 2:22 AM and 11:21 AM?
539
What is 416 minutes after 2:12 PM?
9:08 PM
What is 165 minutes after 12:03 PM?
2:48 PM
How many minutes are there between 3:03 AM and 9:51 AM?
408
How many minutes are there between 11:44 PM and 2:50 AM?
186
How many minutes are there between 3:57 AM and 10:28 AM?
391
What is 71 minutes before 10:03 AM?
8:52 AM
How many minutes are there between 1:30 AM and 11:06 AM?
576
What is 493 minutes before 11:22 AM?
3:09 AM
What is 596 minutes after 10:52 PM?
8:48 AM
What is 700 minutes after 2:06 AM?
1:46 PM
How many minutes are there between 10:26 AM and 8:11 PM?
585
How many minutes are there between 6:02 AM and 4:59 PM?
657
How many minutes are there between 8:22 PM and 10:17 PM?
115
How many minutes are there between 12:13 PM and 5:22 PM?
309
What is 609 minutes before 6:07 AM?
7:58 PM
How many minutes are there between 4:37 AM and 2:44 PM?
607
What is 420 minutes before 6:22 PM?
11:22 AM
How many minutes are there between 1:22 AM and 7:33 AM?
371
How many minutes are there between 5:04 AM and 5:40 AM?
36
How many minutes are there between 1:04 AM and 5:24 AM?
260
How many minutes are there between 5:26 AM and 11:39 AM?
373
How many minutes are there between 11:40 PM and 2:09 AM?
149
How many minutes are there between 7:14 PM and 9:38 PM?
144
What is 585 minutes before 1:07 PM?
3:22 AM
How many minutes are there between 3:32 AM and 1:16 PM?
584
What is 128 minutes after 7:01 PM?
9:09 PM
What is 128 minutes before 9:01 PM?
6:53 PM
What is 231 minutes before 10:50 PM?
6:59 PM
How many minutes are there between 5:32 PM and 3:08 AM?
576
How many minutes are there between 4:41 AM and 1:39 PM?
538
What is 503 minutes before 4:49 AM?
8:26 PM
How many minutes are there between 9:36 AM and 3:17 PM?
341
How many minutes are there between 8:26 PM and 2:25 AM?
359
How many minutes are there between 4:01 PM and 2:19 AM?
618
How many minutes are there between 8:00 PM and 7:09 AM?
669
How many minutes are there between 5:53 PM and 1:21 AM?
448
What is 466 minutes before 10:42 AM?
2:56 AM
How many minutes are there between 3:15 PM and 8:37 PM?
322
What is 158 minutes before 8:07 AM?
5:29 AM
What is 688 minutes before 4:49 PM?
5:21 AM
How many minutes are there between 12:25 AM and 4:49 AM?
264
What is 546 minutes after 5:03 PM?
2:09 AM
How many minutes are there between 11:33 PM and 1:01 AM?
88
What is 652 minutes before 7:18 PM?
8:26 AM
How many minutes are there between 4:51 AM and 8:28 AM?
217
How many minutes are there between 11:07 AM and 7:07 PM?
480
How many minutes are there between 6:38 AM and 8:16 AM?
98
What is 387 minutes before 1:36 AM?
7:09 PM
What is 240 minutes after 1:40 AM?
5:40 AM
What is 60 minutes after 8:10 AM?
9:10 AM
What is 110 minutes after 10:34 PM?
12:24 AM
How many minutes are there between 12:20 PM and 1:50 PM?
90
How many minutes are there between 1:30 AM and 8:49 AM?
439
What is 501 minutes after 7:16 AM?
3:37 PM
How many minutes are there between 12:35 AM and 4:04 AM?
209
How many minutes are there between 5:08 AM and 7:15 AM?
127
How many minutes are there between 1:06 PM and 5:49 PM?
283
What is 703 minutes before 6:04 AM?
6:21 PM
What is 710 minutes before 4:14 AM?
4:24 PM
What is 634 minutes after 5:51 AM?
4:25 PM
What is 611 minutes before 9:51 PM?
11:40 AM
What is 700 minutes before 11:10 PM?
11:30 AM
How many minutes are there between 9:02 AM and 2:30 PM?
328
What is 644 minutes after 4:38 PM?
3:22 AM
What is 625 minutes after 7:55 PM?
6:20 AM
How many minutes are there between 11:26 AM and 9:02 PM?
576
How many minutes are there between 9:01 PM and 5:12 AM?
491
What is 155 minutes after 8:47 PM?
11:22 PM
What is 155 minutes before 5:16 AM?
2:41 AM
What is 71 minutes before 2:30 PM?
1:19 PM
How many minutes are there between 4:54 AM and 4:56 AM?
2
What is 172 minutes after 11:25 AM?
2:17 PM
What is 662 minutes after 3:35 PM?
2:37 AM
How many minutes are there between 1:13 PM and 1:46 PM?
33
How many minutes are there between 5:02 PM and 6:05 PM?
63
How many minutes are there between 1:55 PM and 5:32 PM?
217
How many minutes are there between 11:37 AM and 5:08 PM?
331
How many minutes are there between 8:19 AM and 10:09 AM?
110
How many minutes are there between 6:21 AM and 5:16 PM?
655
How many minutes are there between 1:09 AM and 8:47 AM?
458
How many minutes are there between 3:04 AM and 9:48 AM?
404
How many minutes are there between 7:03 PM and 6:31 AM?
688
What is 89 minutes before 12:12 PM?
10:43 AM
What is 664 minutes before 10:01 AM?
10:57 PM
How many minutes are there between 5:20 AM and 6:16 AM?
56
What is 639 minutes before 2:20 AM?
3:41 PM
What is 52 minutes after 8:30 PM?
9:22 PM
What is 159 minutes after 7:07 PM?
9:46 PM
How many minutes are there between 3:03 PM and 11:24 PM?
501
How many minutes are there between 11:52 PM and 11:39 AM?
707
What is 243 minutes after 11:58 AM?
4:01 PM
What is 27 minutes after 10:18 PM?
10:45 PM
How many minutes are there between 9:42 PM and 11:58 PM?
136
What is 250 minutes after 9:43 PM?
1:53 AM
What is 559 minutes before 8:44 AM?
11:25 PM
What is 376 minutes after 3:23 AM?
9:39 AM
What is 117 minutes before 4:11 PM?
2:14 PM
What is 4 minutes after 10:59 PM?
11:03 PM
What is 549 minutes after 1:58 PM?
11:07 PM
What is 443 minutes before 6:56 AM?
11:33 PM
What is 117 minutes before 2:18 AM?
12:21 AM
What is 463 minutes before 2:24 PM?
6:41 AM
How many minutes are there between 1:40 PM and 6:57 PM?
317
How many minutes are there between 4:21 PM and 5:01 PM?
40
What is 670 minutes after 7:16 PM?
6:26 AM
How many minutes are there between 12:38 AM and 4:07 AM?
209
How many minutes are there between 7:59 PM and 5:08 AM?
549
What is 27 minutes after 7:14 AM?
7:41 AM
What is 405 minutes after 1:21 PM?
8:06 PM
How many minutes are there between 11:59 PM and 10:45 AM?
646
How many minutes are there between 11:55 AM and 3:26 PM?
211
How many minutes are there between 8:08 PM and 1:40 AM?
332
How many minutes are there between 5:21 PM and 3:55 AM?
634
What is 145 minutes after 7:32 AM?
9:57 AM
How many minutes are there between 1:32 AM and 4:37 AM?
185
What is 159 minutes after 1:46 PM?
4:25 PM
How many minutes are there between 9:22 AM and 7:03 PM?
581
How many minutes are th | {
"pile_set_name": "DM Mathematics"
} |
90 - 11*h**5/6 + 163*h**4/18 + 973*h**3/18 + 539*h**2/6 - 4232*h. Let w(c) = 0. Calculate c.
-11, -1, 7
Find o, given that -99/7 - 99/7*o**4 + 6/7*o**3 - 3/7*o**5 + 198/7*o**2 - 3/7*o = 0.
-33, -1, 1
Let f = -719 - -1205. Let k = f + -969/2. Find p such that -1 + k*p - 1/2*p**2 = 0.
1, 2
Suppose 1493 = 7*m + 240. Let q = m + -59. Factor 2 + 28*a**2 + 6 - q*a**3 - 96*a + 8 + 28*a**4 + 144*a**2.
4*(a - 2)*(a - 1)**2*(7*a - 2)
Let s(j) be the first derivative of j**4/10 - 24*j**3/5 - 37*j**2/5 + 387. Factor s(i).
2*i*(i - 37)*(i + 1)/5
Find p such that 2/15*p**5 + 0 + 2/3*p**4 + 16/5*p - 8/3*p**2 - 4/3*p**3 = 0.
-6, -2, 0, 1, 2
Let x(g) be the third derivative of -1/40*g**5 + g**3 + 1/3*g**4 + 0*g - 1/60*g**6 + 0 + 176*g**2. Factor x(n).
-(n - 2)*(n + 2)*(4*n + 3)/2
Determine c, given that 776*c + 879*c + 1806 - 3*c**2 - 1568*c = 0.
-14, 43
Let u(d) = -8*d**2 - 73*d + 67. Let l(m) = m. Let z(a) = 4*l(a) + u(a). Let b(c) = -12*c**2 - 103*c + 101. Let i(w) = 5*b(w) - 7*z(w). Factor i(p).
-4*(p - 1)*(p + 9)
Let j(i) = -760*i + 123. Let d be j(-1). Let q = d - 1761/2. Factor q*h**2 - 1 - 3/2*h.
(h - 1)*(5*h + 2)/2
Let x(l) be the second derivative of l**6/210 + 41*l**5/140 + 271*l**4/84 + 11*l**3/2 + l - 3. Factor x(y).
y*(y + 1)*(y + 7)*(y + 33)/7
Let l(g) be the first derivative of g**5/20 + 5*g**4/3 + 279*g + 15. Let x(f) be the first derivative of l(f). Factor x(h).
h**2*(h + 20)
Let m(g) be the third derivative of -g**5/270 - 14*g**4/27 - 221*g**3/9 + 1524*g**2. Solve m(d) = 0.
-39, -17
Let c(l) be the first derivative of -l**6/15 + 236*l**5/75 - 206*l**4/5 + 988*l**3/15 - 361*l**2/15 + 1113. Determine v so that c(v) = 0.
0, 1/3, 1, 19
Suppose -1167*b = -1160*b + 7623. Let d be 5 + (b/77)/3. Suppose 0 + 10/7*p + d*p**2 = 0. What is p?
-5, 0
Let k(v) = v**2 + 2*v + 1. Let x(q) = -12*q**2 - 64*q - 88. Suppose 4*j - 57 = 5*m, 8*j = 7*j - 3*m - 7. Let w(f) = j*k(f) + x(f). Let w(i) = 0. What is i?
-10, -2
Let h(c) be the first derivative of -c**5/25 - 31*c**4/20 - 16*c**3/3 + 56*c**2/5 + 5171. Factor h(b).
-b*(b - 1)*(b + 4)*(b + 28)/5
Let z(c) be the second derivative of 3*c**6/25 + 73*c**5/25 + 304*c**4/15 + 128*c**3/15 + 111*c + 7. Factor z(r).
2*r*(r + 8)**2*(9*r + 2)/5
Let j(a) be the third derivative of 1/5*a**5 + 88*a**2 + 0*a - 1/12*a**4 + 0 - 2*a**3 + 1/60*a**6. What is l in j(l) = 0?
-6, -1, 1
Let r = 263 - 183. Solve 3*l**2 + 30 - 173*l + 72*l + r*l = 0 for l.
2, 5
Let i(q) be the second derivative of q**5/4 + 515*q**4/6 + 16975*q**3/2 - 110250*q**2 - 1426*q. Find m, given that i(m) = 0.
-105, 4
Let o(v) be the third derivative of v**7/735 - 2*v**6/15 - v**5/210 + 2*v**4/3 - 883*v**2. Suppose o(x) = 0. Calculate x.
-1, 0, 1, 56
Let x(v) = -3*v + 3. Let u be x(0). Solve -633*p - 4*p**u + 565*p + 2*p**3 + 4*p**4 + 24 + 68*p**2 - 26*p**3 = 0.
1, 2, 3
Solve 0 + 15*j + 1/2*j**4 - 15*j**3 - 1/2*j**2 = 0 for j.
-1, 0, 1, 30
Suppose 9 = 5*y - v - 5, -y = -2*v - 10. Let d = -1203 + 2189. Factor -994 + 4*f**y - 7*f + d + 3*f.
4*(f - 2)*(f + 1)
Let x(w) = 16919*w**4 + 16361*w**3 - 516*w**2 + 42*w - 38. Let z(b) = -8459*b**4 - 8181*b**3 + 258*b**2 - 20*b + 18. Let a(r) = -9*x(r) - 19*z(r). Factor a(t).
2*t*(t + 1)*(65*t - 1)**2
Let i(r) be the first derivative of r**4/16 - r**3 - 181*r**2/8 - 42*r + 820. Determine s, given that i(s) = 0.
-8, -1, 21
Let h = 19946 - 139616/7. Let u(t) be the first derivative of -2/63*t**6 - 10/7*t**2 + 15 + 4/21*t**4 + 44/63*t**3 - 2/15*t**5 + h*t. Solve u(f) = 0 for f.
-3, 1/2, 1
Let g = 668/489 + -16/489. Let p(f) be the second derivative of f + 2*f**2 + g*f**3 + 1/3*f**4 + 0. Factor p(d).
4*(d + 1)**2
Let w(k) be the third derivative of k**5/120 + 7*k**4/6 - 59*k**3/4 - 2*k**2 - 117. Factor w(h).
(h - 3)*(h + 59)/2
Let x(u) be the third derivative of 5*u**8/336 + 13*u**7/42 + u**6/6 - 48*u**5 - 540*u**4 - 2520*u**3 + u**2 - 1526*u. Solve x(m) = 0.
-6, -2, 7
Let v(t) be the third derivative of t**7/280 + t**6/45 - t**5/30 - 19*t**4/8 + 35*t**2. Let u(q) be the second derivative of v(q). Suppose u(y) = 0. What is y?
-2, 2/9
Let m be 330/(-15)*3/(-2). Factor 5*n + 11*n**2 + n**4 + 7*n**3 + 3*n**4 + n**4 - m*n**4 + 29*n**4.
n*(n + 1)**2*(n + 5)
Let h = 37765/4 - 309903/28. Let v = h + 1629. Factor 16/7 - v*q + 4/7*q**3 - 4/7*q**2.
4*(q - 2)*(q - 1)*(q + 2)/7
Let o = -1161/7 + 2427/14. Let k(f) be the first derivative of 10*f + 15/4*f**4 + 25 - 10/3*f**3 - o*f**2. Factor k(h).
5*(h - 1)*(h + 1)*(3*h - 2)
Let h(f) = -f**2 + 1. Let o(r) be the second derivative of 0 - 10*r**2 - 34*r - 52/3*r**3 - 163/6*r**4. Let t(c) = 12*h(c) + o(c). Let t(u) = 0. Calculate u.
-2/13
Let o(w) = -29*w**3 - 135*w**2 - 102*w + 10. Let a(m) = 59*m**3 + 273*m**2 + 204*m - 23. Let s(p) = 6*a(p) + 13*o(p). Determine q, given that s(q) = 0.
-4, -1, -2/23
Suppose q + 16 = 5*f, 0 = -14*f + 8*f + 3*q + 21. Let v(j) be the first derivative of 0*j - 4/9*j**2 - 8/27*j**f - 1/18*j**4 - 3. Factor v(p).
-2*p*(p + 2)**2/9
Suppose -2*x - 4*t + 16 = 2, 0 = x + 5*t - 1. Let i(r) = 7*r**2 + 41*r + 67. Let j(w) = -4*w**2 - 20*w - 34. Let u(p) = x*j(p) + 6*i(p). Factor u(f).
-2*(f - 14)*(f + 1)
Let x(a) be the third derivative of -a**5/150 - 11*a**4/60 + 5*a**2 - 188. Factor x(u).
-2*u*(u + 11)/5
Suppose o - 35 = -m + 3*m, 5*o = 2*m + 167. Let f = o + -29. Let 16/7*y**3 + 2/7*y**f + 48/7*y**2 + 32/7 + 64/7*y = 0. Calculate y.
-2
Let o = -1262 + 1281. Let g(p) be the second derivative of 1/22*p**2 + 1/66*p**3 + 0 - o*p - 1/132*p**4 - 1/220*p**5. Factor g(l).
-(l - 1)*(l + 1)**2/11
Suppose -3*n = -5*v + 14, -24*v + 23*v + 12 = 4*n. Let o(u) be the first derivative of 15 + 0*u - 5/4*u**v + 5/9*u**3 + 0*u**2. Factor o(c).
-5*c**2*(3*c - 1)/3
Let r be 25/(-40) - (-69525)/5768. Suppose -r*l**2 + 32/7 + 88/7*l + 2*l**3 = 0. Calculate l.
-2/7, 2, 4
Let r(o) be the first derivative of 4*o - 4/3*o**2 + 1/12*o**4 + 37 - 1/9*o**3. Find a, given that r(a) = 0.
-3, 2
Let t be ((-13)/78)/(2/(-8)). Let n = -47563 - -47563. Factor t*b**2 + 0*b**3 - 2/3*b**4 + 1/3*b - 1/3*b**5 + n.
-b*(b - 1)*(b + 1)**3/3
Let a(n) be the second derivative of n**6/50 + 3*n**5/100 - 3*n**4/5 + 2*n**3/5 + 24*n**2/5 - 3182*n. Factor a(r).
3*(r - 2)**2*(r + 1)*(r + 4)/5
Let h(n) be the second derivative of -n**4/9 + 56*n**3/9 - 104*n**2/3 + 656*n. Determine m so that h(m) = 0.
2, 26
Suppose -5*l + 5 = -3*t + 4*t, -4*t - 20 = 0. Let f be ((-112)/3360)/(28/(-1270)) - (2 + (-46)/24). Factor -4/7 - f*n + 2*n**l.
2*(n - 1)*(7*n + 2)/7
Let j(b) be the third derivative of b**7/1785 - 9*b**6/340 + 77*b**5/170 - 605*b**4/204 - 467*b**2. Factor j(s).
2*s*(s - 11)**2*(s - 5)/17
Let j = -84 - -86. Suppose -3*u + 5 = 2*c - 2, 0 = -j*u - c + 5. Factor -3*r - 5*r**u - 20*r**2 + 0*r + 8*r + 20.
-5*(r - 1)*(r + 1)*(r + 4)
Let b be 21132/(-30524)*13/(-3). Determine v, given that -48*v**2 - 52/3 + 10/3*v**b + 62*v = 0.
2/5, 1, 13
Suppose 3*l = 4*o - 31 + 38, -5*o - 32 = 4*l. Let i be (-5)/(-15) - (0 - o/(-36)). Factor -88/9*f**2 + 2/3*f + i.
-2*(4*f - 1)*(11*f + 2)/9
Suppose 4*p - 5 = 5*x - 26, 0 = -x + 1. Let m be ((-8)/(-6))/(p/(-6)). Factor 31*z**5 + 9*z + 3 - 6*z**3 + 6*z**m - 34*z**5 - 1 - 9*z**4 + 1.
-3*(z - 1)*(z + 1)**4
Let i be 6 - 1016/128 - 4*1/(-2). Let w(q) be the first derivative of -1/20*q**5 + 13/8*q**2 - 28 - i*q**4 + 7/12*q**3 + 3/2*q. Factor w(m).
-(m - 3)*(m + 1)**2*(m + 2)/4
Factor -226/3 - 1/3*u**2 - 227/3*u.
-(u + 1)*(u + 226)/3
Let f = 599 + -596. Let j be (-3)/(((-3)/4)/1). Determine w, given that -w**4 + 5*w**j - 4*w**f + 6*w**2 + 4*w - 10*w**4 = 0.
-1, -2/3, 0, 1
Suppose -5*h = 2*s - 255, -51 = -h + s - 0*s. Let v be (1 + 3)*76/152. Factor -4*o + h - 43 + 11*o - o**v.
-(o - 8)*(o + 1)
Let d(x) be the third derivative of x**6/120 + 181*x**5/60 - 61*x**4/4 + 2780*x**2. Find c, given that d(c) = 0.
-183, 0, 2
Find w, given that -130*w - 24*w**2 - 60 - 550*w + 108*w**2 + 31*w**2 = 0.
-2/23, 6
Solve -10585048 + 54644 - 203041 + 249615*c + 5*c**3 - 1935*c**2 = 0 for c.
129
Let k be (-1 + 72/80)*-232. Let y = -22 + k. Solve -4/5*a + 2*a**5 - 14/5*a**4 + 0 - y*a**3 + 14/5*a**2 = 0 for a.
-1, 0, 2/5, 1
Let t(o) be the second derivative of -5*o**7/147 + 58*o**6/105 - 131*o**5/70 - 61*o**4/21 + 136*o**3/21 + 64*o**2/7 - 2880*o. Find f such that t(f) = 0.
-1, -2/5, 1, 4, 8
Let g(q) be the second deriv | {
"pile_set_name": "DM Mathematics"
} |
/o)*o)/o*o)/(o*o**(-2/3)/o))*(o**(-9)/(o/(o**(-1)/o)*o*o))**(-14/11) assuming o is positive.
o**(3523/165)
Simplify ((b/b**(-9)*b)/(b*b**(-2/7)))**(-36/5)*(((b/b**(-2/3))/b)/(b*b*b**4*b*b))**44 assuming b is positive.
b**(-41656/105)
Simplify i**(-15)*(i*i**(2/7)/i)/i*i**(-31)/i**(35/3) assuming i is positive.
i**(-1226/21)
Simplify (((h**7/(h*h**0*h))/(h*h/(h*h**(3/8))*h*h**(-4)))**(-43))**(-27) assuming h is positive.
h**(68499/8)
Simplify (((u/((u**(3/5)/u)/u)*u)/u)/(u*u/((u/(u/(u/(u**(-1/13)/u)))*u)/u)*u)*u*u**(-2)*u*(u/(u*u/(u**(-2/19)/u*u)))/u)**48 assuming u is positive.
u**(-37248/1235)
Simplify ((d/d**(-14))/((d*d**(-9/5)*d)/d)*(d**(-13/4)/d*d)**16)**(-14) assuming d is positive.
d**(2534/5)
Simplify (((v/(v/((v*v/v**10)/v)))/v**(-33))**(-2/11))**(-25) assuming v is positive.
v**(1200/11)
Simplify ((h**(-28)*h*h)**38*(h*h/(h*h*h**11*h)*h)/(h*h/h**(-20)))**43 assuming h is positive.
h**(-43903)
Simplify (p**(20/9))**30*p**(-35)/(p/(p**(-43)/p*p)) assuming p is positive.
p**(-37/3)
Simplify ((k**1/k)**(-1/8))**(-1/31)*(k**(-7)/k**(2/3))**(11/2) assuming k is positive.
k**(-253/6)
Simplify ((g/g**(-3/5))/(g/(g*g**(-8))*g))/((g/(g*g**(-1)*g*g)*g)/g)**(-2/7)*(g**(-10)/g**2)**17 assuming g is positive.
g**(-7409/35)
Simplify v*v/(((v/v**(3/2)*v)/v)/v)*v*v**1*(v**0)**(36/5)*(v**0/v*v*v*v**(4/9)*v)/(v**2*v*v**4/v) assuming v is positive.
v**(35/18)
Simplify ((b*b**(-3))**(-4/7)*b/(((b/(b**(-8)/b))/b*b)/b*b*b)*b**(-2/3)*b*b)**(25/2) assuming b is positive.
b**(-1975/21)
Simplify (((z**(-2/21)/z)/z)/z*z**(2/73))/(z/(z/z**(5/7)))**(6/23) assuming z is positive.
z**(-114739/35259)
Simplify ((l*l**(1/23))/l**18*l**(-11/3)/((l/(l**11/l))/l*l))**(-4/23) assuming l is positive.
l**(3208/1587)
Simplify ((v/(v/(v/v**(-2/3)*v)))**46)**(-10)/((((((v/(v*v*v/(v**(-1/2)*v)))/v)/v)/v*v)/(v*v**(-1/3)))/(v**(-3/5)*v**1)) assuming v is positive.
v**(-12221/10)
Simplify (((h**(-17))**49)**(-40))**(-12/17) assuming h is positive.
h**(-23520)
Simplify ((d/((d**(1/5)/d)/d))**(-36)/(d**(-3))**(-23))**41 assuming d is positive.
d**(-34809/5)
Simplify (y/(y*y*y/y**(12/5))*y**(-37/3))/((y**(-21/2)/y)/y**35) assuming y is positive.
y**(1037/30)
Simplify (g**(-1/20)/(g*g**(-2/37)*g))/((g*(g/(g*g**(-6)))/g)/(g/((g**(-24)/g)/g))) assuming g is positive.
g**(14063/740)
Simplify ((z*z/(z/((z/z**4)/z*z))*z**(-10/7))/((z**(-8/11)/z)/z*z*z**(-3/11)))**(13/3) assuming z is positive.
z**(-130/21)
Simplify ((o*o/o**(-2)*o*o)**23/(o**(1/16)*o**(1/3)/o))**(-1) assuming o is positive.
o**(-6653/48)
Simplify (c*((c*c**22)/c*c)/c*c**9*((c**1*c)/c)/c*c**(-7))**(4/15) assuming c is positive.
c**(20/3)
Simplify (h*h**(3/7)/h*h**(-4/7))**(-2/63)*(h/(h**(-2/7)/h)*(h*(h*((h*h**6)/h)/h*h)/h)/h)**(-31) assuming h is positive.
h**(-113272/441)
Simplify (h**1*h**(-1)*(h*h**(2/5))**(-6))/(h**(4/5)*h**(-1))**(-29) assuming h is positive.
h**(-71/5)
Simplify ((m*m**(-1/5))**(-13)/(m*m**4*m**(-9/2)))**(-1/2) assuming m is positive.
m**(109/20)
Simplify (p*p/((p*p/(p*p*p**(-2)))/p)*p*p/(p*p/(p*p/p**(-10))*p))/(((p/(p/(p**29*p)))/p)/p)**(1/17) assuming p is positive.
p**(176/17)
Simplify ((a*(a*a*a*a*a**(-1/10)/a*a)/a*a*a**(-6))/(((a/(a*a/(a**(-3/10)/a)))/a*a)/(a/(a/a**(-6/11))*a)))/((a/(a/a**(-4)*a))/a**8)**17 assuming a is positive.
a**(12246/55)
Simplify (m**(4/9)*m*m**(-2/23))**(-23/6)*((m*m**(-3)*m)**(2/33))**(-1/15) assuming m is positive.
m**(-15443/2970)
Simplify ((z/z**(-2/9))/(z/(((z/(z*z**(-1/4)*z))/z)/z)))**(30/11)*(z**(-7)/z*z**(-3/2))/(((z*z*z**(1/9))/z)/z**(-3)) assuming z is positive.
z**(-2030/99)
Simplify (b**(-1/7)/(b/b**(4/5)))**43/((b/b**(-1/4))**5*(b**(2/3))**(-5/12)) assuming b is positive.
b**(-26101/1260)
Simplify ((w*w**(-36))/w*w/(w*(w/(w*w/w**(1/3))*w)/w))/(w**(14/9)/(w*w**(-21)*w*w)) assuming w is positive.
w**(-494/9)
Simplify (z*z/(z*z**(-1/6)/z)*z)**(-2/51)*(z*z*z**43)/(z/z**(-42)) assuming z is positive.
z**(287/153)
Simplify (z**(1/3)/z**5)**22/((z**0)**(-42))**(2/31) assuming z is positive.
z**(-308/3)
Simplify ((c*c*c**2)/c**(4/3))**(-3/4)/((c**(-3)*(c/(c**6*c))/c)/(c**(-1/7)*c*(c*c*c**(-1)*c)/c)) assuming c is positive.
c**(69/7)
Simplify (((m/(m*m*m**(4/11)))/((m*m*(m**(-16)*m)/m)/m)*(m**(1/8))**23)**(2/87))**(-17/2) assuming m is positive.
m**(-24701/7656)
Simplify ((r**(-2/5)*r)/r)/r**(2/7)*r*r/r**(1/2)*((r**6*r)/r)/r*r**(2/5)*r*r**(2/5)*(r**(-1/2)*r)**(-44) assuming r is positive.
r**(-1007/70)
Simplify ((x/(x*x/(x*x/(x/x**(-2/23))*x)))/(x**(-2/13)*x))**(-1/2)*(x**(-1)/x)**(-4/9)*(x**2/x)**24 assuming x is positive.
x**(66886/2691)
Simplify ((p/p**(2/5)*p/(p**5*p))/(p*p**(2/3)*p)**(-28))/(p**(1/3)*p**(-5))**22 assuming p is positive.
p**(2594/15)
Simplify (((((x/x**(2/15))/x)/x*x)/x)**41*(x**(-4)/x)**38)**(16/3) assuming x is positive.
x**(-56752/45)
Simplify (y*((y*y**(-1))/y)/y)**(3/14)/(y*y**3*y**(-1/5))*(((y**(-1)/y*y)/y)/y)**(-29)*(y*(y*y/(y**1/y))/y*y*y)**(-2/35) assuming y is positive.
y**(5793/70)
Simplify ((c**(4/15))**(-20)*c**(-1/61)/c**(4/21))**(1/6) assuming c is positive.
c**(-7097/7686)
Simplify ((((a*a**(-10))/a*a)/(a*a*a**(-6)*a))/(a**(3/10)*a/a**8*a))**(-26/3) assuming a is positive.
a**(13/5)
Simplify (((g*g/(g*g**(-7)))/(g/((g*g/(g/g**(-3/7)))/g*g*g)))/(g/(g*g**(-6))*g*g/(g*g/g**1)))/(g**(-10)*g**(2/9))**(-10/3) assuming g is positive.
g**(-5863/189)
Simplify (y*y/(y/y**10)*y*y**7*(y**(-2/13)/y*y*y)**(-13))**(2/13) assuming y is positive.
y**(16/13)
Simplify ((m**(-4)*m**(1/9)*m*(m*m**4)**(-6/11))**(-28))**41 assuming m is positive.
m**(638288/99)
Simplify (f**6/f**(-2/9))/(f*f**0)**(-34)*((f**(-1/2)*f*f)**(4/7))**33 assuming f is positive.
f**(4316/63)
Simplify ((o**(-1/2))**24)**(2/21)/((o/((o*o*o*o*o**(1/7))/o)*o*o)/o*o*o*o*o/(o/o**(1/2)))**(-11/3) assuming o is positive.
o**(15/2)
Simplify (((o*o**(-5/4))/o)/(o*o**(1/4)))**(3/7)*(o**(-1/3)/o**(2/7))**18 assuming o is positive.
o**(-171/14)
Simplify ((g**5*g)**24*(g*g**(-2/17)*g)/(g/(g/g**19)))**(-27/7) assuming g is positive.
g**(-58239/119)
Simplify ((u/(u*(u/u**3)/u))**30*((u/u**(-1))/u)**48)**5 assuming u is positive.
u**690
Simplify (u**(1/4)/(u/(u*u**8)))/((u**3/u)/((u*u**6)/u))*(u*u*u**(-1))/u*u**(-2)*((u/u**(-1/3))/u)/(u/u**(5/4)) assuming u is positive.
u**(65/6)
Simplify ((x*x*(x*(x/x**(-1))/x)/x)/x*(x**(-1)/x)/x)**(6/7)/((x*x**(-5)*(((x*x**(2/9))/x*x)/x*x)/x)/(x*x**(-1))**(-1/13)) assuming x is positive.
x**(184/63)
Simplify ((z/(z/z**(-15)))/(z/z**(-6/5)))**(-22)*(((((z/z**(-2/43)*z)/z)/z)/z)/((z**(1/4)/z)/z))**(-7/3) assuming z is positive.
z**(971477/2580)
Simplify (((n*n**(2/13))/n*n*n)**6/(n*n**(-4)*n*n)**(2/9))**(2/47) assuming n is positive.
n**(3076/5499)
Simplify (r**6)**42*(r**24*r)/((r/(r*r*r**(-44)/r))/r) assuming r is positive.
r**234
Simplify (x**(-2/9))**(-1/44)*x/(x**(3/8)/x)*x**(-1/5)/x*x*(x**(7/4)/x*x)/x**(2/5)*(x/x**6*x)/x*x*x/(x/x**(2/3))*x assuming x is positive.
x**(1769/3960)
Simplify ((v/v**(17/3))**14/(v/(v/((v*v**2*v)/v))*v*v**2))**15 assuming v is positive.
v**(-1070)
Simplify (s**(9/2)/s**(-3/22))/(s**(-14)/(s/(s*s*s**18)*s)) assuming s is positive.
s**(7/11)
Simplify (i**(-1/4)*i*i/(i**(-2/15)/i*i))**(-26)/(i*i**(2/3)*i/(i*i**4*i)*(i*i/((i*i*i/((i/i**(-5))/i))/i))/(i**(1/5)*i)) assuming i is positive.
i**(-1483/30)
Simplify (o*o/(o*o**(-1/18)*o*o)*o/(o*o*o*o**8*o*o*o*o))**(-48)/(((o*o**(1/2))/o*o/(o*o*o**(-2/13)*o))/((o**(-2/7)/o)/(o/o**(2/17)))) assuming o is positive.
o**(6650659/9282)
Simplify (l*l**(-5)*(l/(l*(l**(2/3)*l*l)/l))/l*((l*l**(-3)*l)/l*l)/l*l/((l**(-6)*l)/l))/(l**2/l**(-6)*l**(1/4)*l**4) assuming l is positive.
l**(-167/12)
Simplify ((i**(-8/9)/i)/i**(-2/17)*(i**(-4)/i)**(-1/26))**(10/11) assuming i is positive.
i**(-2855/1989)
Simplify ((p**(-8)/p)/(p/(((p/p**10*p)/p)/p)))**(-21)*(p**6*p*p/(p*p/(p*p/(p*p**(1/5)*p)*p)*p))/(p/((p/(p**(-2/9)*p))/p)*p**(-3)*p) assuming p is positive.
p**(19171/45)
Simplify ((z/(z*z/(z*z**(-1/4))))**35)**(3/26)*((((z**1/z)/z*z)/z)/z)**(-1/7)*(z**(-1/4)/z)**2 assuming z is positive.
z**(-2347/728)
Simplify ((((u*u**(-1))/((u*u*u**2)/u))**(-2/89))**32)**(-36/7) assuming u is positive.
u**(-6912/623)
Simplify y**(-1/5)/(y**(1/3)*y)*(y*y*y/y**(-4))/y**0*(y/(y**(1/2)/y))/y**3*(y*y**0)/(y/(y/(y/(y*y**(1/4)*y)))) assuming y is positive.
y**(373/60)
Simplify r**(-10/9)*r**(-33)*r*r*r**(-38)*r**(-1) assuming | {
"pile_set_name": "DM Mathematics"
} |
s positive.
a**(35/2)
Simplify (b/((b/(b*b**(-1/32)*b)*b*b*b)/b*b))/b**(-15) assuming b is positive.
b**(447/32)
Simplify (t/t**(3/2)*(t/(t**(-4)/t))/t)**14 assuming t is positive.
t**63
Simplify (i/(i/((i/(i/i**(-3/19)))/i)*i)*i**(2/27))**(-37) assuming i is positive.
i**(39553/513)
Simplify (((o**3*o*o)/o)**5)**(-2/11) assuming o is positive.
o**(-40/11)
Simplify (h*h**(-1/4)*h*h)**(2/7)/(h*h*h*h*h/h**1*h)**37 assuming h is positive.
h**(-2579/14)
Simplify (o**(-5)*o*o**(-1/3)*o)/(o*o**4*o*o/(o*o**(2/23))*o) assuming o is positive.
o**(-707/69)
Simplify (u*u*u**1)**33*(u/(u*(u/(u/(u/(u/(((u**(1/2)*u)/u)/u))))*u)/u*u))**(-17) assuming u is positive.
u**(215/2)
Simplify (t**(1/6))**(-14)/((t*t**(5/2))/(t*(t**(-2/33)*t)/t*t)) assuming t is positive.
t**(-257/66)
Simplify n**(-6)/n**(-2)*(n*n/n**(-6))/n**6 assuming n is positive.
n**(-2)
Simplify m*m*m*m/(m*m**(-2/23)*m*m*m)*m*m*m*m/(m*m**3) assuming m is positive.
m**(2/23)
Simplify t**(-6/11)*t**(17/5) assuming t is positive.
t**(157/55)
Simplify (h**(-5)/h**(-2/33))**(-3/11) assuming h is positive.
h**(163/121)
Simplify ((n*n**(-2/7))/n*n**(2/7))**11 assuming n is positive.
1
Simplify (l**(-15))**(5/7) assuming l is positive.
l**(-75/7)
Simplify (((o*o**(1/3))/o)**36)**(2/23) assuming o is positive.
o**(24/23)
Simplify n*n**(4/5)*n*n**(-2/17) assuming n is positive.
n**(228/85)
Simplify j**4*j*j/((j/((j/j**(12/13))/j))/j)*j assuming j is positive.
j**(79/13)
Simplify (a/(a*a/(a/a**(-2/7))))**(2/103)*(a*a**(2/13)*a)/a**(6/7) assuming a is positive.
a**(12206/9373)
Simplify (w*(w/(w/(w/(w*w**(-4)))))/w*w)/w**(-7)*(w*w/((w/w**(1/3))/w))**(-4) assuming w is positive.
w**(8/3)
Simplify s**(6/5)*s**(5/4)*s*s assuming s is positive.
s**(89/20)
Simplify (t/(t*t**6*t))**(2/33) assuming t is positive.
t**(-14/33)
Simplify ((x*(x**(-2)*x)/x)/x*x)**(23/4)*x**(-1/7)*x*x*x/(x**(-7)/x)*x assuming x is positive.
x**(171/28)
Simplify a/a**10*a**(-14/3) assuming a is positive.
a**(-41/3)
Simplify ((b/(b/((b**(2/13)/b)/b*b)))**10)**(3/2) assuming b is positive.
b**(-165/13)
Simplify (n**(-8)*n*n**(7/6))**(-6/13) assuming n is positive.
n**(35/13)
Simplify o**(1/30)*o**2/o assuming o is positive.
o**(31/30)
Simplify ((f*f**(-1/14))/(f**2*f*f))/(f**(2/9))**15 assuming f is positive.
f**(-269/42)
Simplify b**(11/3)*b*b/b**(-2/15) assuming b is positive.
b**(29/5)
Simplify (n**(-3/8)*n*n)**30 assuming n is positive.
n**(195/4)
Simplify ((w*w**(-4))**25)**(-16/5) assuming w is positive.
w**240
Simplify (j*j**(-1/13))**14 assuming j is positive.
j**(168/13)
Simplify ((s/s**27*s)/s)**33 assuming s is positive.
s**(-858)
Simplify (b**(-21)/b)/b**(6/5) assuming b is positive.
b**(-116/5)
Simplify (j**3/j**(-11))**36 assuming j is positive.
j**504
Simplify (i**(-2)/((i/i**(-2))/i))**(3/14) assuming i is positive.
i**(-6/7)
Simplify a**(-5)*a/(a/(a/a**(1/6))*a) assuming a is positive.
a**(-31/6)
Simplify o**23*o*o/(o/o**(1/12))*o*o assuming o is positive.
o**(313/12)
Simplify (n**(2/3)/n*n**(-3/4))/(((n*n*n**0)/n)/((n**6/n*n)/n*n)) assuming n is positive.
n**(47/12)
Simplify (u/u**15)/(u/(u/((u/(u**6*u))/u))*u) assuming u is positive.
u**(-8)
Simplify (x**(5/9))**(2/175) assuming x is positive.
x**(2/315)
Simplify (q**0)**(4/19) assuming q is positive.
1
Simplify (o*o**(-2/25)*o)/o**17 assuming o is positive.
o**(-377/25)
Simplify (t*t*t*t**(-4)*t)/t*t**(2/7)*((t*t/(t*(t/(t*t/(t*t**(-1/4)*t)*t))/t)*t*t)/t)**(-3) assuming t is positive.
t**(-293/28)
Simplify ((r/(r/((r**(-2/5)*r*r)/r)))/r*r**(-3))/(r**(2/11))**(-11/2) assuming r is positive.
r**(-12/5)
Simplify (q**0)**50*(q**(-2/7))**(-1/39) assuming q is positive.
q**(2/273)
Simplify (u/(u*u**(6/11)*u)*u**(1/4))**(17/5) assuming u is positive.
u**(-969/220)
Simplify ((s*s**(6/13))/(s/(s/s**(-1))))**(-40) assuming s is positive.
s**(-1280/13)
Simplify y**(2/15)/y*y*y*y*y**12 assuming y is positive.
y**(212/15)
Simplify s**(-1/7)/(s/(s/(((s/(s*s/(s*s/(s/(((s*(s**(-5/9)*s)/s*s)/s)/s))*s)))/s*s)/s))) assuming s is positive.
s**(26/63)
Simplify (b**(2/9)/b**(-1/9))**(-5/7) assuming b is positive.
b**(-5/21)
Simplify ((m/(m**0*m))/m)**(-3/4)/(m**(-8)/m**(-2/11)) assuming m is positive.
m**(377/44)
Simplify (r**(-2)/((r/r**2)/r*r))/(r*r/(r*r*r**(-3)*r*r*r)*r*r*(r**5/r)/r) assuming r is positive.
r**(-6)
Simplify ((h/h**(-9)*h)/h**(-1/2))**4 assuming h is positive.
h**46
Simplify (q*q*q**5*q)**(-32) assuming q is positive.
q**(-256)
Simplify (o**6*o/(o*o*o/(o*o**(-9))))/(o/o**1)**37 assuming o is positive.
o**(-4)
Simplify (c**(-9/4))**(-23) assuming c is positive.
c**(207/4)
Simplify (z**(-1))**(-7/4)*z**3/(z**(-6)/z) assuming z is positive.
z**(47/4)
Simplify ((f/(f/(f**25*f))*f)/f)/(f*f/((f/(f/(f*f**(2/9)/f)*f))/f)*f) assuming f is positive.
f**(191/9)
Simplify (j*j/(j**(-8)*j)*j)**(-4/11) assuming j is positive.
j**(-40/11)
Simplify (y**(-24))**(-10/3) assuming y is positive.
y**80
Simplify ((j**(2/7)/j)/j)**(-32)/(j**1*j)**(2/7) assuming j is positive.
j**(380/7)
Simplify (q*q*q**(-1)/q*q)**(-26) assuming q is positive.
q**(-26)
Simplify (b*b/(b/((b/(b*(b*b**4)/b))/b)*b))/b**(16/3) assuming b is positive.
b**(-31/3)
Simplify ((t*t**(-1))**9)**50 assuming t is positive.
1
Simplify (v/v**4)**(1/9) assuming v is positive.
v**(-1/3)
Simplify (d**7*(d/(((d/(d*d/d**(-7)*d)*d*d)/d)/d))/d*d)**(-4/21) assuming d is positive.
d**(-68/21)
Simplify ((y/((y**(3/2)/y*y)/y))/y**(-6))**(-1/28) assuming y is positive.
y**(-13/56)
Simplify ((h*h**(3/10))/((h**(-1/5)/h)/h))/(h*h**(-2/27)/h*h**(-7)) assuming h is positive.
h**(571/54)
Simplify (n/((n*((n/(n/(n*n**(-2/5)*n)))/n)/n)/n*n))**12/(n**(-1/3))**(-18/7) assuming n is positive.
n**(138/35)
Simplify (j**(-5/4)/j**(-2/3))**41 assuming j is positive.
j**(-287/12)
Simplify (y*(y*(y/(y/(y*y**3/y)))/y)/y*y*y)/y*y**7*(y/(y*y/y**(-1/2)*y))/(y/y**1*y) assuming y is positive.
y**(15/2)
Simplify n**(-5/8)/(n**(-2)*n) assuming n is positive.
n**(3/8)
Simplify r*r**(-2/25)*r*r/(r/((r/(r**(-22/7)/r))/r))*r assuming r is positive.
r**(1236/175)
Simplify (g**4/(g/(((g**8/g*g)/g)/g)))**21 assuming g is positive.
g**189
Simplify (h**(2/5))**(-7/10)*h**(-2/25)*h*h/(h/(h**6/h)) assuming h is positive.
h**(141/25)
Simplify (q*q/(q/q**(-21))*q)/q**(9/5) assuming q is positive.
q**(-104/5)
Simplify ((s**(1/3)*s)**(-16))**(1/37) assuming s is positive.
s**(-64/111)
Simplify (i**(-1/4))**14*i**(-3/5)/(i/(i*i**9*i*i)) assuming i is positive.
i**(69/10)
Simplify ((c*c*(c/(c/(c**(-13)/c)))/c*c*c)/c)/c*c*c**12 assuming c is positive.
1
Simplify ((c*(c*c**(-19)*c)/c)/(c*c**(-13/6)))**(-2/71) assuming c is positive.
c**(95/213)
Simplify j**(8/5)*((j/(j/j**(1/7)))/j)/j*j assuming j is positive.
j**(26/35)
Simplify o/(o*o/(o/o**(-19/5)))*o**(-1/22)*o*o assuming o is positive.
o**(633/110)
Simplify n/(n/(n**8/n))*n/(n*(n/((n*n*((n*n/(n/n**(-2/9))*n)/n*n)/n)/n)*n*n)/n*n)*n*n/(n/(n*n**4))*n*n*n**(1/15)*n assuming n is positive.
n**(668/45)
Simplify ((f/(f*f**(-3)))/f*f)/f*f**1*f*f**(-2)*f**(1/7) assuming f is positive.
f**(15/7)
Simplify p*p**25*(p*p/(p*p**(2/7)/p*p)*p)/p assuming p is positive.
p**(187/7)
Simplify d*d/d**(15/4)*(d/d**18)/d assuming d is positive.
d**(-79/4)
Simplify (k**8)**(-1/26) assuming k is positive.
k**(-4/13)
Simplify (f**(3/2)/f)/f*f*f**(-2/5)*(f/(f/((f*f**8)/f)))/f*f/f**(2/13) assuming f is positive.
f**(1033/130)
Simplify (u**(-2)/(u**(-2)*u*u))/(u*u**(-1/2))**(1/42) assuming u is positive.
u**(-169/84)
Simplify ((j**(-1))**(-29))**(-48) assuming j is positive.
j**(-1392)
Simplify ((r**(-6)/r)/r*r/r**(1/8))**(-1/41) assuming r is positive.
r**(57/328)
Simplify (t**(-2/5)/(t*t**(-4/7)))/((t**(-2/7)/t*t)/((t/(t/(t/(t**(-6)/t)*t)))/t)) assuming t is positive.
t**(261/35)
Simplify (((d/((d/((d/(d*d**(-1/9)*d*d*d))/d)*d)/d))/d)/d)/d**3 assuming d is positive.
d**(-80/9)
Simplify u**10*u/u**(-5/9) assuming u is positive.
u**(104/9)
Simplify ((u**15/u*u)/(u**(-9)*u*u*u))**9 assuming u is positive.
u**189
Simplify (d*d*d*d**(2/9)/d*d*d*d*d**(-3))/(((d**5*d)/d)/d**(-7)) assuming d is positive.
d**(-88/9)
Simplify (r/(r/(r/((r**(-1/4)/r)/r))*r))**(4/17)/(r*r*r**(-2/3)*r**(-1/6)) assuming r is positive.
r**(-65/102)
Simplify ((d**7/d)/d**(-5))**(-2) assuming d is positive.
d**(-22)
Simplify (((u/u**29*u)/u)/u)/(u/(u**5*u)) assuming u is positive.
u** | {
"pile_set_name": "DM Mathematics"
} |
5*w, 2*w = 0. Find the common denominator of 353/(-45) - (-32)/i and 15/11.
99
Let h = -4 - -8. Calculate the smallest common multiple of 11 and h.
44
Let h = 633945/32 + -19813. Find the common denominator of 49/4 and h.
32
Suppose x + z = -3*z - 70, -2*x - 5*z = 146. Let a be (-5)/((-5)/x) - 2. Calculate the common denominator of -85/4 and (-461)/a + (-2)/10.
16
Let s = 78221/14 + -5591. Let i = -13483/60 - -1094/5. Calculate the common denominator of s and i.
84
Let h = 5/2042 - 48520/9189. What is the common denominator of 74/27 and h?
54
What is the common denominator of 111/22 and ((-24)/(-20))/(16/34)?
220
Let i = -86 - -91. Calculate the lowest common multiple of 6 and i.
30
Let k be 0 - -6 - (-6)/3. Find the common denominator of (-86)/22 + k/8 and (-178)/(-4) + -1 - -2.
22
Suppose k + 5 = 3*d - 2*d, 2*d = -3*k + 15. Let u = 3 + -16. Let l = u - -22. Calculate the least common multiple of d and l.
18
Suppose -44 = -3*m + h, 2*h - 36 + 12 = -m. Suppose m*x = 12*x + 32. Calculate the smallest common multiple of 8 and x.
8
Let d = -4097/78 + 867/13. Suppose 0 = p - 5*p + 5*u - 64, -60 = 4*p - 4*u. Find the common denominator of (p/605)/((-2)/305) and d.
66
Suppose -5*l - 3 = 67. Let k be (-276)/l*(-20)/(-6). Let n = -848/21 + k. What is the common denominator of n and -113/6?
6
Let w(j) = -j**3 - 10*j**2 + 23*j - 8. Let i = 11 - 7. Calculate the lowest common multiple of w(-12) and i.
4
Suppose 0*v - 10 = 2*v. Suppose 3*z = -4*d + d + 24, d = -2. Calculate the smallest common multiple of ((-18)/v)/((-12)/(-80)) and z.
120
Let x(d) = -3*d**2 - 4 + 1 + 5*d**2 + 2*d. Let r = -33 + 41. Calculate the lowest common multiple of x(-3) and r.
72
Let n = 6568/9 + -728. What is the common denominator of n and -43/2?
18
Suppose 4*z = 5*z - 14. Suppose 3*d - 8*d + 27 = -j, -3*d = -4*j - 23. What is the least common multiple of j + (-2 + -1 - -25) and z?
140
Let j = -4335563/593304 + 27/3352. Let t = j - 2/59. Find the common denominator of 63/5 and t.
15
Let f(r) = r**2 + r. Let p be f(-3). Let s = p + -4. Calculate the lowest common multiple of s and 18.
18
Let b(u) = u**2 - 4*u + 5. Let i(s) = -5*s**3 - s - 1. Let c be i(-1). Let x = -9 + 15. Calculate the lowest common multiple of b(c) and x.
30
Let b be (-1 - -3)*145/10. Suppose -3*u + 4*h = -47, 5*u - b - 38 = h. Calculate the least common multiple of 2 and u.
26
Let u = 80 - 74. What is the lowest common multiple of u and 35?
210
Suppose -4 - 2 = -2*p. Suppose t - 240 = -p*t. Let u = 86 - t. Find the common denominator of u and -7/3.
3
Suppose 0*c = c + 3. Calculate the smallest common multiple of 22 and 2 - (c*5 - -1).
176
Suppose -f = -2*k + 1 + 10, 0 = 2*f - 10. What is the smallest common multiple of k and 3?
24
Suppose -o + 5*h - 28 = 0, 2*o + o - 11 = -4*h. Let d(k) = k**2 - 3. What is the smallest common multiple of 2*(-3 - (-51)/6) and d(o)?
66
Find the common denominator of 8/11 and 1290/175 - 16/20.
77
Let j(o) = -o**3 + 7*o**2 + 11*o - 11. Calculate the least common multiple of j(8) and 3.
39
Let r = -308 + 14478/47. Let s = 1547/94 + r. What is the common denominator of -3/5 and s?
10
Suppose -17 = 4*o - 117. Find the common denominator of 65/(-10)*2/8 and o.
8
Let o be ((-9)/(-6))/((-3)/(-8)). Let g = o - 3. Suppose -2*s + 46 = 4*y, 6*s - 43 = -2*y + s. Calculate the smallest common multiple of g and y.
9
What is the least common multiple of 7 + ((-1 + 2)*-1)/1 and 20?
60
Suppose 40 = 119*q - 111*q. What is the lowest common multiple of q and 37?
185
Let v = -38 + 92. Suppose r + v = 4*r. What is the least common multiple of r and ((-6)/(-5))/(6/20)?
36
Let g be (-735)/(-468)*15/22. Let j = g + -13/88. What is the common denominator of j and -14/5?
65
Let a = 11 + -3. Let c = a + -5. Suppose -c*p + 5*n = -16, p - 4*n = -4*p + 44. What is the least common multiple of p and 8?
24
Calculate the common denominator of 83/8 and (0 - (-27)/(-6))/((-7)/(-35)).
8
Let x = 4 + 1. Let j(z) = -z**2 + 9*z - 2. What is the least common multiple of j(x) and 14?
126
Suppose 3*l - 7*l = -12. Calculate the least common multiple of l and 11.
33
Let v = -58/21 + -1627/42. What is the common denominator of 29/22 and v?
22
Let i = 2925 + -23471/8. Calculate the common denominator of i and 13/(-2) + (-3)/15.
40
What is the common denominator of (4/50)/(4/615) and -20/3?
30
Let b(g) = 2*g - 6. Let v(t) = t - 14. Let x be v(11). Let k = x + 8. What is the least common multiple of k and b(6)?
30
Let z = -113 + 314/3. Calculate the common denominator of z and 57/10.
30
What is the smallest common multiple of (136/6 + -4)/((-2)/(-3)) and 4?
28
Suppose -5*s - 696 = -11*s. What is the smallest common multiple of 8 and s?
232
Let w(h) = 2*h - 2. Let a = 16 - 22. Let v(c) = -c - 1. Let f be v(a). What is the lowest common multiple of w(f) and 4?
8
Let l be (70/(-15))/((-8)/(-90)). Let x = l + 125/3. What is the common denominator of 2 - (-202)/(-32) - -1 and x?
48
Suppose -4 = -2*d - 0. Calculate the common denominator of -50/7 and 2*d/(120/39).
70
Let i = -1/4206 + -60979/33648. Calculate the common denominator of i and -2 + (-3)/(24/170).
16
Suppose 3*w - 2*a = -26 + 86, -78 = -4*w + 2*a. Let r be (0 - -3) + 0/2. Let s(f) = f**2 - f. What is the lowest common multiple of w and s(r)?
18
Let t = -1314577/724329 - -2/26827. What is the common denominator of t and 113/18?
54
Suppose v + 40 = 3*h - 3*v, 3*h + 2*v - 70 = 0. Suppose 4*f = -78 + 18. Let q = 21 + f. What is the lowest common multiple of h and q?
60
Let k(z) = 3*z**2 + 2*z + 2. Suppose 16 = -11*q + 214. What is the lowest common multiple of k(-2) and q?
90
Let o(z) = -z**3 + 5*z**2 - 2*z - 3. Let a be o(4). Suppose -6*r - 20 = -a*u - r, -5*r = 4*u - 52. Calculate the smallest common multiple of u and 2.
8
Let b(v) = 2*v - 6. Let t be b(8). Suppose 0 = 4*p + t + 14. Find the common denominator of (p/(-20))/(18/201) and 19/10.
20
Let c(h) = h + 6. Let n(u) = -u**2 - 5*u**2 + 3*u**2 - 2*u**3. What is the smallest common multiple of n(-2) and c(5)?
44
Let g = 25996 + -337786/13. Let p = -505/52 + g. Find the common denominator of p and 123/10.
20
Find the common denominator of -17/16 and (-878)/(-80) + 20/50.
16
Let r(f) = f**3 + 10*f**2 + 8*f - 1. Let d be r(-9). Let m = d - 4. What is the least common multiple of m and 11?
44
Let d = -6 + 8. Suppose 3*g + 4*s - 70 = -0*s, -3*s = 2*g - 47. What is the lowest common multiple of g and ((-8)/d)/(1/(-2))?
88
Let h(d) = -d**3 - 5*d**2 + 7*d - 5. Let j be h(-7). Let v = j - 22. Calculate the smallest common multiple of v and 2.
22
Suppose -32 = -13*s + 9*s. Suppose u + 7 = -3*k, -12 = -4*u - 6*k + 4*k. What is the least common multiple of u and s?
40
Let c = 26 + -12. What is the least common multiple of 12 and c?
84
Suppose 2*o = -t + 12 + 11, 0 = -2*o + 3*t + 11. Suppose 0 = 4*v - 18 + o. Calculate the lowest common multiple of 3 and v.
6
Let o be (-4362)/(-8) + -2 - 1. Let z = o - 19367/36. What is the common denominator of 53/12 and z?
36
Suppose -9 = 49*h - 52*h. What is the lowest common multiple of 3 and h?
3
Let q = 4115/2 + -2010. What is the common denominator of q and -77/8?
8
Let d = 7602 - 60723/8. Let c = 30/469 + -25337/7504. What is the common denominator of d and c?
16
Let d(c) = 2*c**3 - 4*c + 6. What is the smallest common multiple of d(2) and 12?
84
Suppose 0 = -q + 6*q - 45. Suppose -2*b = -q - 29. Suppose 3 = -2*c + 3*l, 5*l + 6 = 2*c + b. Calculate the lowest common multiple of 10 and c.
30
Let t = -12 + 26. Suppose 0*w - 4*w = -16. Suppose 4 = w*v - 4*q, 3*v + 6 = 8*v - 4*q. What is the smallest common multiple of t and v?
14
Suppose h - 5 = 3*r, 9 = 3*h - 5*r - 10. Let l = -7 + h. What is the smallest common multiple of l and 10?
10
Suppose 5*j - 10 = -0*j. Suppose j = -g + 4. Calculate the smallest common multiple of (-12)/(-8) - 87/(-6) and g.
16
Let r be (-32)/(-6) - 2/(-3). Suppose 3*k - r = -0*k. Suppose k*p = -4*n + 32, -1 = 3*n + 8. What is the lowest common multiple of p and 12?
132
Suppose -2*v = 2*h - h - 3, 14 = -4*v + 2*h. Find the common denominator of -35*v/32*-2 and (-294)/(-60) - (-5)/((-15)/(-6)).
80
Let v(i) = -5*i + 2. What is the least common multiple of v(-1) and 10?
70
What is the lowest common multiple of (1 + -3)*7/(-14) and 4?
4
Let t be (-45796)/(-9429) - (9 | {
"pile_set_name": "DM Mathematics"
} |
(sqrt(99) + 3) + -4*(sqrt(99) - (sqrt(99) + -4)))*5 + -5))**2.
-57600*sqrt(11) + 382000
Simplify ((sqrt(1470) + sqrt(1470) + sqrt(1470) + (-4*sqrt(1470)*-2 - sqrt(1470)) - 1*sqrt(1470)*-6)*2)/(-1*3*(sqrt(10)*2*4 + (sqrt(90)*2)/sqrt(9))).
-112*sqrt(3)/15
Simplify ((sqrt(300) + sqrt(300)*-3*1 - sqrt(300) - -4*(sqrt(300) + -4)) + -6*((sqrt(300) + 3*sqrt(300) - sqrt(300)) + sqrt(300) + -3)*-3)**2.
-102200*sqrt(3) + 1603600
Simplify ((-1*(sqrt(6) + sqrt(96) - sqrt(48)/sqrt(2)))/(2*(1*sqrt(3) - sqrt(3) - sqrt(3)) + sqrt(108) + sqrt(108) + 3*sqrt(108)) + -1)**2.
3*sqrt(2)/14 + 401/392
Simplify (((sqrt(405) - 3*(-2 + sqrt(405)))**2 + -5)*-3 + ((-1*sqrt(405)*1)**2 - (5 + -4*sqrt(405) + sqrt(405) + sqrt(405))))*-3.
-1998*sqrt(5) + 13659
Simplify (sqrt(117) - (sqrt(117) + (sqrt(117) + 0 - sqrt(117)) + -5)) + sqrt(13) + sqrt(208)*-1 + sqrt(468) + -1 - (1*(sqrt(832) + 2) - -1*sqrt(832)*-2)**2.
-832 + 35*sqrt(13)
Simplify (-1*(sqrt(55)/sqrt(45) - 3*(sqrt(11) - sqrt(44)/sqrt(4))) - (-3 + sqrt(1100) + -2)*-2)**2.
-1180*sqrt(11)/3 + 39191/9
Simplify -5 + (1*sqrt(396)*2)**2 + -4 + (4*(-1 + sqrt(396)*1 + 0))**2.
-192*sqrt(11) + 7927
Simplify -5 + (-4 + (sqrt(605) + sqrt(605) + 5 - sqrt(605)) - (-1 + sqrt(5) + 3 + -4))**2.
60*sqrt(5) + 504
Simplify ((-2 + 2 + (sqrt(117) - (sqrt(117) - 5*(2 + sqrt(117)) - sqrt(117)) - sqrt(117)*2*1))*-6)**2.
8640*sqrt(13) + 70992
Simplify (-3*sqrt(294)*3)/((sqrt(2) - sqrt(14)/(sqrt(252) + sqrt(7)))*-1) + 0.
147*sqrt(3)/2
Simplify 4 + ((sqrt(2736) + 5 + -1*sqrt(2736) + -1)*-6 + -1)**2*-3*6.
-11246
Simplify ((sqrt(128) + (sqrt(128) + -1)*-2 - (2 + sqrt(128)*-1) - sqrt(72)*-6*6) + -3)**2.
-1296*sqrt(2) + 93321
Simplify (-4*(sqrt(68) + 1)*-5 + 0)**2 + (0 + sqrt(68) + 1 + sqrt(68) + sqrt(68)*2 + 4)*-3.
1576*sqrt(17) + 27585
Simplify ((sqrt(114)*1*1)/(sqrt(24)/(sqrt(4)*-2)) - (-1*sqrt(19) + 0 + (sqrt(19) + -2)*3))**2.
-48*sqrt(19) + 340
Simplify (1*sqrt(10)*2*5*-3)/(sqrt(405) + ((-2*sqrt(405) - sqrt(405)) + sqrt(405))*4 + sqrt(405) - -5*(sqrt(405) - (1*sqrt(405) + sqrt(405) + sqrt(405)))).
5*sqrt(2)/24
Simplify 5 + (sqrt(1088) + -2*sqrt(1088) + -2 + sqrt(1088))**2*3 + (2*sqrt(1088) + sqrt(1088) + -5)**2 + 5*(sqrt(1088) + 0).
-200*sqrt(17) + 9834
Simplify 0 + ((-6*sqrt(45)/(sqrt(3)*-1))/(sqrt(243)*1*5))**2.
4/45
Simplify (-5 + 0 + sqrt(363) + 4 + -2)**2 + (2*(sqrt(363) + -1)**2 + (sqrt(363) - (-5 + sqrt(363) + 1))**2)*3.
-198*sqrt(3) + 2604
Simplify -2*(-5*((sqrt(312)/sqrt(192))/(sqrt(2)*2*6) - (2*sqrt(208) + sqrt(13) - (sqrt(117)*3 - sqrt(117))/sqrt(9))))**2.
-36473125/1152
Simplify (-4*6*-4*(3*(sqrt(153) - (sqrt(153) - (sqrt(153) + sqrt(153) + -1))) - 5*((sqrt(153) - (sqrt(153) - (0 + sqrt(153))) - sqrt(153)) + sqrt(153)))*4)**2.
-2654208*sqrt(17) + 23887872
Simplify (4*((sqrt(75) - (2*sqrt(75) + 0) - 1*(sqrt(75) + sqrt(75) + -2))*-1 + 2) + 1)**2.
120*sqrt(3) + 10801
Simplify (((1*sqrt(77)*3 - (sqrt(77) - 4*1*sqrt(77)))*-1)/((-2*(sqrt(77) - sqrt(77)*-1) + sqrt(77))/(-2*sqrt(11)*-1)))**2.
176
Simplify (4*-1*(1 + sqrt(931) + sqrt(931) + sqrt(931)))**2 - ((-4 + sqrt(76)*-2 + sqrt(76) + sqrt(76) + sqrt(76))*6)**2.
1248*sqrt(19) + 130768
Simplify (sqrt(117) + -3)**2*5*-3 - (5 + (-1 + sqrt(832))**2 + -2 + (sqrt(13) + -1)**2).
-2740 + 288*sqrt(13)
Simplify -1 + (5*(sqrt(12)/(sqrt(24)/sqrt(3) + sqrt(2)))/(sqrt(10)/(sqrt(5) - sqrt(20)) - sqrt(72)/sqrt(4)))**2.
-23/48
Simplify 4 + 5*((4 + sqrt(1584)*2 - -5*(sqrt(1584) - (1 + sqrt(1584)))**2) + 1 + sqrt(1331)*2 + 5).
79 + 230*sqrt(11)
Simplify (-4*(-5 + -3 + sqrt(98) + sqrt(98) + -1*sqrt(98) + 4)*1)**2*3.
-2688*sqrt(2) + 5472
Simplify -4*((3*sqrt(143)*-5 + (sqrt(143) + -1*sqrt(143))*-5)/(1*((sqrt(11) - (-3*sqrt(99) - sqrt(11)) - sqrt(11)) + 1*(sqrt(11)*1 - sqrt(11)))))**2.
-117
Simplify (3*(sqrt(99) + -1 + sqrt(99)) - -5*sqrt(99)*-2)**2 - (3 + 4*(sqrt(99) + -3 - sqrt(99))).
72*sqrt(11) + 1602
Simplify (6*(-2 + -4*(sqrt(1331) + (2 + sqrt(1331))*-2 + sqrt(1331) - sqrt(1331) - (sqrt(1331) - 6*(sqrt(1331) + sqrt(1331) + 2) - sqrt(1331)))))**2*5.
5924160*sqrt(11) + 464034960
Simplify (-3 + 5 + -2*-5*sqrt(90)/(sqrt(20)/(-1*sqrt(4))))**2.
-120*sqrt(2) + 1804
Simplify (-5*-3*sqrt(95) - (-4*sqrt(95)*4 + sqrt(95)))/((sqrt(140)*3)/(sqrt(14)/sqrt(2)*2)).
10*sqrt(19)
Simplify (1 + -6*(-3*(-5*sqrt(1872) + sqrt(1872) + -5)**2 + -3) + -2)*-3.
-1618809 - 25920*sqrt(13)
Simplify 3 + (-4 + -2*6*(sqrt(245) + sqrt(245) + sqrt(245) + sqrt(245) + -1 + sqrt(245) - sqrt(245))*-5 + 4)**2.
-201600*sqrt(5) + 14115603
Simplify (2*(sqrt(143) + sqrt(143)*2*-6)*-3)/(sqrt(176)*-2*2*6).
-11*sqrt(13)/16
Simplify (sqrt(11) - (2 + sqrt(539) + sqrt(11))) + sqrt(22)/sqrt(128) - 5*(-1*sqrt(891))**2*4.
-17822 - 55*sqrt(11)/8
Simplify (sqrt(1053) + -1)**2 + 3*sqrt(13)*5 - sqrt(156)/sqrt(192)*4.
-4*sqrt(13) + 1054
Simplify -3*4*(sqrt(190)/sqrt(5)*-2)/((sqrt(12)/sqrt(6) + sqrt(2) - sqrt(2))*3)*-1.
-8*sqrt(19)
Simplify -6*((2 + sqrt(432) + sqrt(432) + sqrt(432) + -1 + (sqrt(432) - (sqrt(432) - (1 + sqrt(432) + -4))))*-4 + 3)**2.
-664278 + 25344*sqrt(3)
Simplify ((4*(-6*sqrt(65)*2 - -3*((sqrt(65)*2 - sqrt(65)) + sqrt(65) - sqrt(65) - sqrt(65))))/((-6*-1*sqrt(35) + sqrt(35))/(5*(2*sqrt(7) - sqrt(7)))))**2.
748800/49
Simplify (((sqrt(200) + (4 + sqrt(200) + sqrt(200) + -3 - sqrt(200)) - (sqrt(200) + (sqrt(200) + (sqrt(200) + 3 - sqrt(200)))*1)) + 0)*5*5)**2.
2500
Simplify sqrt(720)*-1*-4 + 5 - (1*(sqrt(30) + sqrt(120)/sqrt(4)))/((sqrt(180)/sqrt(3))/sqrt(10) + sqrt(6)).
5 + 47*sqrt(5)
Simplify -5 + 0 + (((-3*sqrt(832)*2 - sqrt(832) - sqrt(832))*5 + -1 + -5)*-6)**2.
138240*sqrt(13) + 47924491
Simplify 2*((-4*(sqrt(175) + (sqrt(175) - (sqrt(175) - (1 + sqrt(175))) - sqrt(175))))**2 - (sqrt(175) + (sqrt(175)*2)**2)*1 - 2*(1*sqrt(175) + -1))*-2.
-8472 - 580*sqrt(7)
Simplify (1*sqrt(77)*4*-2*-5)/(((sqrt(55) - (sqrt(440)/sqrt(32) + sqrt(55))) + sqrt(55))/(sqrt(55)/sqrt(176))).
20*sqrt(7)
Simplify (((sqrt(304) + 0 - sqrt(304))*-5 + sqrt(304) + -1 + 4)**2 + -4*-2*1*sqrt(76))*-2.
-626 - 80*sqrt(19)
Simplify ((sqrt(143) + 4*3*sqrt(143))*-3*-4)/((5*2*sqrt(132))/((sqrt(60) + 2*sqrt(60))/sqrt(5))).
234*sqrt(13)/5
Simplify (3*-5*(-4*(5 + -2*sqrt(931)) + -3)*5)**2.
-14490000*sqrt(19) + 338135625
Simplify 2*((sqrt(567) - (-1 + sqrt(567))) + -1 - (-5 + 1*sqrt(567))**2) + 1 + -4 + sqrt(567) + (-1*sqrt(567))**2 + 4.
-616 + 189*sqrt(7)
Simplify 4*(3*(sqrt(5616) + -6*sqrt(5616)*-1))/(((2*sqrt(162))/sqrt(9))/(sqrt(864) + sqrt(864)*-1 + sqrt(864))).
6048*sqrt(13)
Simplify -4 + 6*(2 + -2*sqrt(1900) + ((sqrt(1900)*1 - sqrt(1900))*-5 + sqrt(1900) + sqrt(1900))**2)*-5 + 5.
-228059 + 600*sqrt(19)
Simplify -6*((sqrt(432) - (-1 + sqrt(432))) + 2)*2 - (2 + (sqrt(432) + 1)*-3 + -4).
-31 + 36*sqrt(3)
Simplify 3 + 1 + 6*(2*sqrt(1900) + -5) + -1 + (-3 + sqrt(1900))*-2.
-21 + 100*sqrt(19)
Simplify (((sqrt(605)*-1 + sqrt(605))*2)/(sqrt(495)/sqrt(5)))/(4*(sqrt(180) - (sqrt(180) - -3*sqrt(180))*3)).
0
Simplify ((6*sqrt(343)*2)/(sqrt(7) - (sqrt(1008) - -1*sqrt(1008))))/((sqrt(7) + sqrt(567)*-1 + sqrt(567) + (-2*sqrt(42))/sqrt(6))*5).
12*sqrt(7)/115
Simplify ((-6*((sqrt(121) - (sqrt(121) - 2*2*sqrt(121))) + (-5*sqrt(121)*-1 - sqrt(121))))/(3*1*sqrt(539)*5)*4)**2.
45056/1225
Simplify -1*-6*-2*(sqrt(448) + (sqrt(448) + (sqrt(448) - (-4*sqrt(448) - sqrt(448))))**2) + 1 + -5 + 0.
-263428 - 96*sqrt(7)
Simplify ((-1*sqrt(1080))/(sqrt(1000) + sqrt(1000)*1 - sqrt(10)) - (sqrt(3) + sqrt(108)*3 + sqrt(108) - sqrt(192)*-1))**2.
1202067/361
Simplify (-1*-3*sqrt(833))**2*5*-3 - ((sqrt(833)*-1 + sqrt(833) + 0 + -1 + (sqrt(833) - 2*sqrt(833)))**2 + -4).
-113285 - 14*sqrt(17)
Simplify (((sqrt(200) - (sqrt(200)*1 + 5)) + -2 + sqrt(200)*-1 - 4*(-4 + sqrt(200) + 1 + sqrt(200))) + 0)**2.
-900*sqrt(2) + 16225
Simplify -5*4*(((3 + sqrt(931)*-1 + sqrt(931))*-4)**2 + -4 + ((sqrt(931) + -2*sqrt(931) + sqrt(931) + sqrt(931) + sqrt(931))*5 + sqrt(931))**2)*-6.
13534920
Simplify (1 + 1 + (-2*sqrt(128) + -3 - 5*(sqrt(128) + 0) - -1*(2*sqrt(128) + -1 - sqrt(128))) + -1)**2.
288*sqrt(2) + 4617
Simplify ((sqrt(156)*3*-3 + (3*-1*sqrt(156) - sqrt(156)))/(-2*-1*sqrt(192)*-3))**2.
2197/576
Simplify (-5*1*(-1*sqrt(7344) - sqrt(7344)))/(-2*-6*6*sqrt(147)).
5*sqrt(17)/21
Simplify 2*-1*(sqrt(91)/(-3*sqrt(7)*1) + sqrt(104)/(sqrt(512)*-2)).
19*sqrt(13)/24
Simplify (-2*sqrt(70)*5*-1)/(sqrt(90)/(sqrt(36)/sqrt(4)) - -1*sqrt | {
"pile_set_name": "DM Mathematics"
} |
2, -10?
8
Which is the closest to -0.1? (a) -296/19 (b) 1 (c) -5/41
c
What is the nearest to 1315 in -3, 11, -0.1, -4?
11
Which is the nearest to 1? (a) -1 (b) 683 (c) 5 (d) -1/7 (e) -2
d
What is the closest to 0 in 2, -5, -116, -2/145?
-2/145
Which is the nearest to -2? (a) 0.4 (b) -56/9 (c) -51/4 (d) 4 (e) 2
a
What is the closest to 0.04 in 2/9, 2, -2/13, 1/7?
1/7
What is the closest to -2/3 in -5, 5, 0, 38/3?
0
Which is the nearest to -0.71? (a) -25 (b) -2/3 (c) -9 (d) -21
b
Which is the closest to 3/11? (a) 3 (b) -4 (c) 1/3
c
What is the closest to 0.3 in 1, -144, 344?
1
What is the closest to 0.1 in 5, 7, -18/151, -3?
-18/151
Which is the nearest to 1/5? (a) 2/5 (b) 5 (c) -2739 (d) 2
a
Which is the closest to -1661? (a) 1/2 (b) -1 (c) 1
b
What is the closest to -7/2 in -1, -14, -4?
-4
Which is the closest to -0.1? (a) -5 (b) -1195 (c) 0.9
c
What is the nearest to -0.26 in -1/3, -1, -361/14?
-1/3
What is the nearest to 6519 in 3, 1/4, 6?
6
Which is the nearest to 2/5? (a) -3 (b) 0.0581 (c) -2/633
b
Which is the nearest to -0.3? (a) 3/4 (b) -1 (c) 4 (d) 20 (e) 8
b
Which is the closest to 0.6? (a) -0.5 (b) -4 (c) 2/15 (d) -3/16
c
Which is the closest to 2/7? (a) -99/5 (b) -5 (c) 2/11 (d) -58
c
Which is the closest to -14? (a) -14817 (b) 4/7 (c) 5/3 (d) -0.3
d
What is the closest to 60/31 in 4/5, -165, 0?
4/5
Which is the closest to 1.51? (a) 1 (b) -1/7 (c) -1/4 (d) 1/237
a
What is the nearest to -56 in -16/5, 4, -2, 1?
-16/5
What is the nearest to 0.02 in 3, 6/5, 11?
6/5
Which is the nearest to 1/3? (a) 2/5 (b) 5/9 (c) -2 (d) 2 (e) 6
a
What is the nearest to -1 in -11, 1.18, -1/9?
-1/9
Which is the nearest to 1? (a) 879 (b) 0.3 (c) 2/13 (d) 21.38
b
Which is the nearest to -2/19? (a) 2/3 (b) -2 (c) -93 (d) -1
a
What is the closest to -2/7 in 1, 2/7, 3/154, -0.2?
-0.2
What is the nearest to -2 in 3/5, 0.5, 0.2, -175, 1/3?
0.2
What is the nearest to -387 in 1/5, 120, 4?
1/5
Which is the nearest to 2? (a) -3 (b) 3 (c) -0.0289 (d) -5
b
Which is the nearest to 2/7? (a) -6 (b) -14 (c) -3 (d) 1/5 (e) -1.2
d
Which is the closest to -6? (a) 2.48 (b) -21 (c) 5 (d) -2
d
What is the closest to -57 in -1/3, -3/4, 5, -1.1?
-1.1
Which is the closest to 3? (a) -2 (b) -2/113 (c) 3 (d) 7/4 (e) 4
c
Which is the closest to 2/5? (a) -0.039 (b) -5 (c) 0 (d) -0.2 (e) -2/15
c
What is the closest to -0.135 in 4, -2/15, 1, 2/7, 0.26?
-2/15
What is the closest to 37706 in 0.4, 1, 4, -1/4, -2?
4
What is the closest to -2/7 in 1/9, 2/9, 29/9?
1/9
Which is the nearest to -2? (a) -1/3 (b) 4/7 (c) -7
a
Which is the nearest to 0.01? (a) -0.9 (b) 4/53 (c) -0.3
b
Which is the closest to -2? (a) -106 (b) -55 (c) -10
c
What is the closest to -6/17 in 1, 0, 4/9, -0.028?
-0.028
What is the closest to -0.2 in 2/13, -0.4, -1237, -0.2, 1/11?
-0.2
What is the closest to -2 in 7, 176, 0.3, -5, -0.2?
-0.2
What is the closest to 3/2 in -0.05, -3, -1/12, -26?
-0.05
Which is the closest to 0? (a) -0.2 (b) -28.6 (c) -4 (d) 2
a
What is the closest to 1 in -124, -1.5, 0.5, 0.3?
0.5
What is the nearest to -1/4 in -1/11, -559, 1?
-1/11
What is the closest to 1/5 in 3, 719, -1/3?
-1/3
What is the nearest to -66 in -5, -0.5, -3?
-5
Which is the nearest to -10? (a) -11/9 (b) 1/5 (c) 117
a
Which is the closest to 0.1? (a) 165/2 (b) 1/4 (c) 5 (d) -0.4
b
What is the nearest to -31 in -3, -2/13, 3/4, 2?
-3
What is the nearest to -5 in 0.14, -0.28, -5?
-5
Which is the closest to 1829? (a) 5 (b) 1/4 (c) 1
a
Which is the closest to 2/3? (a) 0.08 (b) -0.1 (c) -380
a
Which is the closest to 1? (a) -45/11 (b) 1/8 (c) -3 (d) 4 (e) 0.2
e
What is the nearest to 0 in -0.06, -2/3, 2/7, -6/4837?
-6/4837
What is the closest to 1 in -5, -80, -2, 188, -0.4?
-0.4
What is the nearest to 1 in -5, 3/4, -3, -106?
3/4
Which is the nearest to 2? (a) 0.03 (b) -2/9 (c) -9 (d) -1 (e) -0.67
a
Which is the nearest to -6? (a) -27 (b) -2 (c) 18
b
What is the closest to 1637 in 2/9, 0.5, 0, -5, -75?
0.5
Which is the closest to -106? (a) -0.2 (b) -4/11 (c) 0.3 (d) -2/19
b
Which is the closest to 13/5? (a) 1/2 (b) 3 (c) -0.04 (d) 0 (e) 1.37
b
What is the closest to 1/2 in -3/2, 4, 5.4?
-3/2
Which is the closest to -2? (a) -0.2 (b) 3 (c) -2 (d) 59.34
c
What is the nearest to 2 in -6, 0, 29/12?
29/12
Which is the nearest to -0.011? (a) -3/5 (b) -9 (c) 58
a
What is the nearest to 18 in 4, -0.3, -8, 3, -3?
4
What is the nearest to 8 in 1/2, -0.4, 0, 0.2, -30?
1/2
What is the nearest to -1 in 0.14, 0.4, -168?
0.14
Which is the closest to 2/7? (a) 42 (b) 4 (c) -0.1 (d) -15/8 (e) 4/7
e
Which is the nearest to -0.1? (a) 7 (b) 35/16 (c) 19 (d) 3/2
d
What is the nearest to 25 in 0.9, -1, 0, 6/7?
0.9
What is the nearest to 4 in -6, 12, 0, 4?
4
What is the closest to -4 in 0.131, -4, 8.9?
-4
What is the closest to 2 in -18, 1/5, 5/23, -0.4?
5/23
What is the closest to 649 in -5, 3, 0.6, 0.5?
3
Which is the closest to -2/5? (a) -0.05128 (b) -1/4 (c) 0.08
b
What is the nearest to -40499 in 0.5, 4, -0.2?
-0.2
What is the nearest to -26/5 in 3/8, 2/9, -2, 0.063?
-2
What is the nearest to 2 in 0, 0.1, 767508?
0.1
What is the nearest to -0.696 in -2, 0.4, 111, 0.1?
0.1
What is the closest to 0.04 in 2/19, -0.1, 1/3, -3/4, 4?
2/19
What is the closest to -0.1 in -31, -3/8, -9, 0.4?
-3/8
What is the closest to 0 in -0.35, -8/7, -5, -1, 4?
-0.35
What is the closest to 0.05 in -0.1, -5, -1815/4, 5?
-0.1
Which is the closest to 1? (a) -18/29 (b) -2/11 (c) 3
b
What is the closest to -0.1 in -2503, 2/11, 24?
2/11
Which is the nearest to -3? (a) 74 (b) 0 (c) -0.1 (d) -3 (e) 4
d
What is the nearest to -47.3 in -4, 2, 3/5, -5?
-5
What is the closest to 414 in 276, 1, -2/7?
276
Which is the nearest to 0.5? (a) -36 (b) 0.5 (c) -1/2 (d) 2 (e) -3.07
b
What is the nearest to -1/94 in -4, -0.2, 15/11, -3?
-0.2
What is the nearest to 0 in -5, -694, 583, -1/8?
-1/8
What is the closest to 2132 in 3, -0.2, -1.2?
3
Which is the closest to 33? (a) 9 (b) -145 (c) -5
a
Which is the nearest to 20? (a) -4 (b) 652 (c) -0.1
c
Which is the nearest to 248? (a) -11 (b) 3 (c) -4 (d) 1/14
b
Which is the nearest to 0.1? (a) 3/11 (b) 1.64 (c) 5 (d) -1/2 (e) 2
a
Which is the closest to -3.4? (a) -32 (b) 4 (c) 0.3 (d) -5
d
What is the closest to 13 in 0.5, 2/989, 1/6?
0.5
What is the closest to 2 in -5, 3/4, -2, -31?
3/4
Which is the closest to 8? (a) 0.9 (b) 0.08 (c) 3
c
Which is the nearest to 4? (a) 18/11 (b) -5 (c) 5.9
c
What is the closest to -3 in -5.6, -1/4, -2, 86, 2/11?
-2
What is the closest to -1/3 in 2, 1.53, -99?
1.53
Which is the nearest to -1? (a) 1/2 (b) 1/6 (c) -0.05176 (d) 14
c
Which is the closest to 0.1? (a) 1327 (b) -1 (c) -4 (d) 5 (e) 1
e
Which is the nearest to 10? (a) -4 (b) -2/15 (c) -1/11
c
What is the nearest to -268 in -73, -1, 3?
-73
What is the nearest to 2 in -122, -21.3, 0.1, -2?
0.1
What is the nearest to 0.4 in 1, -5, -45/11?
1
What is the closest to -2/1697 in -0.5, -2.1, 14?
-0.5
Which is the closest to -0.114? (a) 4 (b) 0.5 (c) -1 (d) 3/62 (e) 1/4
d
What is the closest to 0 in 2, 0.9, -5, 1811?
0.9
Which is the nearest to -3.2? (a) 1 (b) 0.047 (c) 3 (d) 1/4
b
What is the nearest to -0.1 in -33, -4/5, 2/5, -4?
2/5
Which is the nearest to -25? (a) -1 (b) 24 (c) -0.56 (d) 0.4 (e) 3/7
a
Which is the nearest to 0.3? (a) -90.1 (b) -0.2 (c) 0.1
c
What is the nearest to 3 in 1/3, -1/5, 0.2, -0.134?
1/3
Which is the nearest to -0.03? (a) 0 (b) 722 (c) 15
a
What is the closest to 0.3 in 13/201, -4, 1/5, 0?
1/5
What is the closest to 1 in -10, -7/3, -1/2, -2, 0?
0
What is the nearest to -8 in -28, -2, 62?
-2
What is the closest to -0.7 in -0.4, 0.71, 18/11?
-0.4
Which is the nearest to -2/6949? (a) -0.04 (b) 0.5 (c) 0.2 (d) -3
a
Which is the nearest to -1? (a) 0.3 (b) 2143 (c) 2/21 (d) -8
c
Which is the closest to 0.14? (a) 2/3 (b) -0.8 (c) -1 (d) 5 (e) -2
a
What is the closest to 1 in -14.961, 2/17, 2/9?
2/9
What is the nearest to 1 in -64, 6, -5?
6
Which is the closest to -0.093? (a) 112 (b) 0.3 (c) -1/2
b
Which is the closest to 0? (a) 0 (b) 2/3 (c) 2 (d) 5
a
What is the closest to 170/109 in -0.4, -0.11, 5?
-0. | {
"pile_set_name": "DM Mathematics"
} |
(4*sqrt(686)*-1 - sqrt(686)))/((-2*sqrt(6048))/(sqrt(18)/(sqrt(12)/sqrt(4)))).
-7*sqrt(2)/4
Simplify (((3 + sqrt(2057))*-3)**2*6 + (-6*((sqrt(2057) - (sqrt(2057) + 3)) + -3))**2)*3.
10692*sqrt(17) + 338580
Simplify 2 + (-2*sqrt(14)/sqrt(2) + -2 + (sqrt(7) - (-2 + sqrt(7) + -1)) + 1 + -2)**2.
30
Simplify (-3*sqrt(88)/(-1*-2*sqrt(4)))/(-1*(sqrt(50) + ((sqrt(50) + (sqrt(50) + sqrt(50)*-1 - sqrt(50)))*-6 - sqrt(50)) + sqrt(50))).
3*sqrt(11)/10
Simplify (-4 + (sqrt(320) + -3 - sqrt(320))**2*-5 + (-1 + sqrt(320))*3 + 1)*-6.
-144*sqrt(5) + 306
Simplify (3*(6*6*(2 + sqrt(448)) + 3*(sqrt(448) - (sqrt(448) - (sqrt(448) + sqrt(448) + -1)))*-5) + 3)**2.
76032*sqrt(7) + 214848
Simplify sqrt(117)/(sqrt(324)*3 - sqrt(9)) + 1 - ((2*sqrt(52)*6)/(-4*(sqrt(4)*2 + sqrt(4))))**2.
-12 + sqrt(13)/17
Simplify (((sqrt(432) - ((sqrt(432)*2 - sqrt(432)) + -4) - sqrt(432)) + sqrt(432) + 0 + 4 - (0 + sqrt(432) + -3 - (sqrt(432) - (0 + sqrt(432)*2))))*5)**2*-4.
-184900 + 52800*sqrt(3)
Simplify (sqrt(12)*2*-1)/(sqrt(20)/(sqrt(20)/sqrt(4))) + ((-1*sqrt(96))/sqrt(4))/sqrt(8) + ((1*sqrt(135))/sqrt(5))/sqrt(9).
-2*sqrt(3)
Simplify -2*sqrt(720)*1 + 5 + 2 + ((sqrt(140) + sqrt(35))*-2)/(sqrt(28)/(sqrt(20)/sqrt(5))).
-30*sqrt(5) + 7
Simplify (-1*sqrt(114)*6 + sqrt(114) + sqrt(114) + sqrt(114) + 1*(sqrt(114)*3 - sqrt(114)) + sqrt(114))/(5*(5*2*sqrt(24) + sqrt(24))).
0
Simplify (-6*sqrt(2205)*2 + (sqrt(2205) - 2*sqrt(2205)*6))/(-4*(sqrt(441) - (-4*(sqrt(441) - (sqrt(441) + 1*sqrt(441))) - sqrt(441)))).
-23*sqrt(5)/8
Simplify 5*(sqrt(76)*-1*-2 - (-3 + sqrt(76) + -5)**2)*-2 + 1.
-360*sqrt(19) + 1401
Simplify ((sqrt(243)*1 + sqrt(27))/(sqrt(900)*2) + 2 + (sqrt(30)/sqrt(2)*-2)/sqrt(5))**2.
-36*sqrt(3)/5 + 343/25
Simplify ((sqrt(117) - 2*sqrt(117)*5) + sqrt(117) + sqrt(117)*-1*3)/(sqrt(441) + 2*sqrt(441) - (sqrt(9) + (sqrt(72)*1)/sqrt(8))) + -4.
-4 - 11*sqrt(13)/19
Simplify (-3 + -4 + sqrt(832)*1*-5 + (-4*(0 + sqrt(832)) - sqrt(832)) + -6*(2 + sqrt(832)*2 - (-6*((sqrt(832)*-2 - sqrt(832)) + sqrt(832)) - sqrt(832))))**2.
-13376*sqrt(13) + 1611113
Simplify (sqrt(104)*2*-6 - 2*sqrt(104)*5)/(5*(sqrt(72) + -2*sqrt(72)))*-5.
-22*sqrt(13)/3
Simplify (4 + sqrt(20) + 1*sqrt(720) + -3 - (2*(sqrt(100) + sqrt(100) + sqrt(100)*-2 + sqrt(100)))/((sqrt(120)/sqrt(4))/sqrt(6)))**2.
20*sqrt(5) + 501
Simplify (4*sqrt(120)/sqrt(5) + sqrt(96) + (-3*sqrt(96) - sqrt(96)))/((sqrt(2400)*-1)/((sqrt(3) + sqrt(12)/sqrt(4))*3)).
6*sqrt(3)/5
Simplify (4 + (sqrt(300)/sqrt(96) - (sqrt(1250) - sqrt(1250)*1 - sqrt(50)))/(sqrt(30)/sqrt(3)*-2 + (sqrt(160)*-2 - sqrt(160))) + -5)*-5.
25*sqrt(5)/56 + 5
Simplify (sqrt(396)/(1*sqrt(9)))/(6*sqrt(16)) + (sqrt(77)/(sqrt(252) + sqrt(7)) - (sqrt(176) + sqrt(176) + -3)**2).
-713 + 4051*sqrt(11)/84
Simplify (((sqrt(165)*-1*-4)/(sqrt(12)/sqrt(4)*-4))/(2*(sqrt(40)/sqrt(32) + -2*(sqrt(5) - -1*sqrt(5)))))**2.
11/49
Simplify 5 + -5 + (-4 + (sqrt(192)*-1 + 5)*6*-2)**2 + 3.
-12288*sqrt(3) + 31747
Simplify 4 + sqrt(1539) + (sqrt(2736) + -2 + sqrt(2736))**2 + -1 + (sqrt(19) - sqrt(304)*3)**2 + 2 + 2.
-87*sqrt(19) + 13254
Simplify (-5*(sqrt(2304) + -4*sqrt(2304)*-2 + sqrt(2304)))/(5*(sqrt(80) - (sqrt(80) + (-1*sqrt(80) + sqrt(80))*1 + sqrt(80)))/sqrt(10)).
120*sqrt(2)
Simplify (-1*(sqrt(243) + 5 + -2*sqrt(243)) + 0 + sqrt(75) + sqrt(75) + 1 + (0 + sqrt(75) - sqrt(75)) + sqrt(3) + sqrt(9)/sqrt(3) + 1 + 4)**2.
42*sqrt(3) + 1324
Simplify -4 + (1*(-5 + ((sqrt(567) + sqrt(63))/sqrt(9))**2) - ((sqrt(441)*-1)/sqrt(7) + -2)**2).
-12*sqrt(7) + 36
Simplify 1*(-5 + (sqrt(972) + -3 + sqrt(972) + 3 + (2*sqrt(972))**2 + 5)*-5).
-19470 - 180*sqrt(3)
Simplify (4 + (2 + sqrt(153) - sqrt(153)) + 2 + -1 + sqrt(153) + -2 + ((sqrt(153) - (sqrt(153) + -1 + sqrt(153)))*5 - (-2 + (sqrt(153)*-5 - sqrt(153)))))**2.
144*sqrt(17) + 756
Simplify (1*sqrt(264)/(sqrt(11) - sqrt(11)*5*-5))/((-4*sqrt(24) - sqrt(24))/sqrt(2) + (sqrt(72) - (-1*sqrt(72) + sqrt(72)))/sqrt(6)).
-sqrt(2)/104
Simplify (2 + 2 + (sqrt(931) - (1 + (-2*sqrt(931) - sqrt(931))) - (5 + (0 + sqrt(931) - sqrt(931))))*-1 + -5)**2.
-280*sqrt(19) + 14921
Simplify (-5 + ((3 + -1*sqrt(605))**2 - (sqrt(605) - (0 + sqrt(605)))*-6))*5 + -5.
-330*sqrt(5) + 3040
Simplify (((sqrt(85)*2 - sqrt(85))*-6 + -5*sqrt(85)*-2)*-1)/(((2*sqrt(40))/sqrt(2))/((sqrt(12)*-2)/sqrt(3))) + 5.
5 + 4*sqrt(17)
Simplify -5*((6*(((-1*sqrt(220) - sqrt(220)) + sqrt(220))/sqrt(4))/sqrt(11))**2 - -6*sqrt(55)/(sqrt(44)/(sqrt(4) + sqrt(16)))).
-900 - 90*sqrt(5)
Simplify -5*(3*(4 + -5*((2*sqrt(1872))**2 + 3)) + 3).
561750
Simplify (-1 + 2*sqrt(612) + -1*(sqrt(612) - sqrt(612)*-2) + (5 + 2 + (-1 + sqrt(17) + sqrt(17) - sqrt(17)))*1)**2.
-50*sqrt(17) + 450
Simplify (-3 + -5 + -1 + -2 + (sqrt(1573) - 2*sqrt(1573)) + 2*(sqrt(1573) + (-1*sqrt(1573) + sqrt(1573) - sqrt(1573))))**2.
242*sqrt(13) + 1694
Simplify (-2*(-5 + -1*sqrt(243) + (sqrt(132)/sqrt(11))/sqrt(4)*-1))**2.
400*sqrt(3) + 1300
Simplify ((sqrt(960) - 1*sqrt(960) - sqrt(960))/(-2*sqrt(96) + sqrt(6)))/(-4*sqrt(16)/sqrt(8) - (sqrt(16)/sqrt(2) + sqrt(2) - sqrt(2))).
-2*sqrt(5)/21
Simplify -1*((-2*(2 + sqrt(28)/sqrt(4) - sqrt(7)) + -3*sqrt(28)/sqrt(4) + 2 + 3)**2 + -1).
-63 + 6*sqrt(7)
Simplify (2*-5*(sqrt(99) + sqrt(99)*-1 + sqrt(99))*1)/(((sqrt(567) - sqrt(63) - sqrt(63))*-3)/(sqrt(28)/sqrt(4)*2)).
20*sqrt(11)/3
Simplify (((sqrt(350) + sqrt(350)*1)*6)/sqrt(7)*-4)/(2*3*(-2*sqrt(70))/sqrt(7)).
4*sqrt(5)
Simplify (-5 + sqrt(77)/sqrt(7) + 2 + -2 + -5*(4 + sqrt(1100))*-5)**2.
47690*sqrt(11) + 702036
Simplify ((sqrt(70)/(sqrt(2) - sqrt(18)*-6)*-2)/(sqrt(605)*-2*-1*-6))**2.
7/1572516
Simplify 1*(-4*-2*sqrt(4896) - 2*(sqrt(4896) + -1*sqrt(4896) - sqrt(4896)))/((sqrt(36)/sqrt(2))/sqrt(9) - sqrt(128)*-3).
24*sqrt(17)/5
Simplify ((-5 + sqrt(72) + 0 + -5 - (sqrt(72) + -1 + sqrt(72) + -2)*4)*6)**2 + 0.
-6048*sqrt(2) + 127152
Simplify -4 + ((sqrt(147) - ((sqrt(147) - (sqrt(147) - (sqrt(147) + (sqrt(147) + 0 - sqrt(147))))) + -2))**2*-5 - (-1*sqrt(147) + -1 + 1 + 1*sqrt(147))) + -1.
-25
Simplify (-4 + (sqrt(1300) - (2 + 1 + sqrt(1300) + sqrt(1300))) + -4 - (3*sqrt(1300) + 5 + 2)*3)**2.
6400*sqrt(13) + 131024
Simplify (-3*((sqrt(200) - sqrt(200)*-1)*-2 + 3*(sqrt(200) - (sqrt(200) + 1)) - ((-2*-3*sqrt(200) - sqrt(200)) + -3)))**2.
145800
Simplify 2*(5 + 2*((sqrt(425) + -2 - sqrt(425))*1 + 5 + (sqrt(425) - (-5 + sqrt(425)*1) - sqrt(425)*1*-5))**2).
1600*sqrt(17) + 42766
Simplify ((sqrt(144) - 5*(sqrt(144) - sqrt(144)*-2) - sqrt(144)*-2*1)/(2*sqrt(3888)*-3))**2.
4/27
Simplify 1*(-5 + (-6*sqrt(133)*4)/((3*sqrt(1008) - sqrt(1008)) + sqrt(1008) + sqrt(7)))*3.
-15 - 72*sqrt(19)/37
Simplify -5 + 6*((sqrt(7) + (sqrt(63)/(sqrt(45)/sqrt(5) + sqrt(9)))**2 - sqrt(140)/sqrt(5)) + -3 + -4 + 1 + sqrt(7)).
-61/2
Simplify -3*(4*sqrt(171)*1*3)**2 + (-1 + 4*((1*sqrt(171) - sqrt(171)) + 0))**2.
-73871
Simplify ((sqrt(24) - sqrt(216))/sqrt(2) + (sqrt(12) - -5*sqrt(24)/sqrt(2)))/((sqrt(4800) - (sqrt(4800)*1 + sqrt(4800)))/(4*sqrt(12)*2)).
-16*sqrt(3)/5
Simplify (sqrt(950)/sqrt(2)*-4 + 0 + -2 + (sqrt(1539) - (sqrt(1539) - sqrt(1539)*1)) + 2 + sqrt(1539) + -1)**2.
4*sqrt(19) + 77
Simplify -4 + 2*(3 + (2 + 3*sqrt(162) + sqrt(162) + sqrt(162) - (sqrt(162) - (-5 + (sqrt(162) + 3 - sqrt(162)))))**2).
5186
Simplify (1*(sqrt(22) - sqrt(44)/sqrt(2) - sqrt(22)) + 6*sqrt(132)/sqrt(6))/(-5*-3*(sqrt(72) + sqrt(72) + (sqrt(72) - (sqrt(72) - sqrt(72)*-2)) + sqrt(72))).
sqrt(11)/18
Simplify (5 + sqrt(6912) + 1 + 4 - (3 + 4*1*sqrt(3) - (1 + sqrt(192))*5))**2.
2016*sqrt(3) + 21312
Simplify ((1*(5 + 1*sqrt(1575)) - (sqrt(315) + (2*sqrt(315) + sqrt(315))*-5)/(sqrt(180)*1 + sqrt(180)))*-3)**2.
1665*sqrt(7) + 87147/4
Simplify ((sqrt(60) + sqrt(120)/(sqrt(4)/sqrt(2)) - sqrt(60)) + sqrt(60))/(2*sqrt(300)) - ((sqrt(5) - sqrt(320)*4)**2 + 2)*3.
-14421 + sqrt(5)/5
Simplify -5*3*(-6*(5 + (sqrt(275) + 1 + 2)**2*-5) + 3).
-127395 - 13500*sqrt(11)
Simplify (-3 + -5*(sqrt(76)/(sqrt(28)/sqrt(7)) + -3)*2*-3)*5.
-465 + 150*sqrt(19)
Simplify (sqrt(136)*2*-5 + 1*sqrt(136)*-5)/((sqrt(32)/sqrt(4) + sqrt(8))*6 + (-1*sqrt(72))/sqrt(9)).
-15*sqrt(17)/11
Simplify (((sqrt(126) - sqrt(126)*1*-1) + sqrt(126))/sqrt(6))/(sqrt(84)/((sqrt(96) - sqrt(96)*4 - sqrt(96))/sqrt(8))).
-12*sqrt(3)
Simplify (3*sqrt(5)*-1 - sqrt(1620)) + (sqrt(2430)*-1)/(sqrt(12)/sqrt(8)).
-39*sqrt(5)
Simplify (-6*(1 + 2*(0 + (sqrt(245)*-1 - sqrt(245)) + | {
"pile_set_name": "DM Mathematics"
} |
38, m = n - 5*s. What is the remainder when n is divided by 3?
0
Let s = -1 - -4. Suppose 0 = -j + 3*h + 1, 10 = s*j + h - 3. Suppose j*l - 48 = l. Calculate the remainder when 46 is divided by l.
14
Suppose 7*o + 4*j = 2*o - 68, -4*j + 40 = -4*o. Calculate the remainder when 34 is divided by (-14 - -16)/((-2)/o).
10
Let i be (-6)/4*12/1. Let r be ((-1326)/65)/(3/(-10)). Let z = r + i. What is the remainder when z is divided by 13?
11
Let d(y) = -y**2 - 6*y + 75. Calculate the remainder when 135 is divided by d(-12).
0
Let n = 124 + -41. Let k = 53 + -36. What is the remainder when n is divided by k?
15
Let l = 10 + -1. What is the remainder when l is divided by 40/60 + (-3)/((-18)/8)?
1
Let b(d) = -d**3 - 10*d**2 + 74*d - 8. Calculate the remainder when 55 is divided by b(-15).
6
Let o(v) = v**3 - 3*v**2 + v + 2. Let j be o(2). Suppose -q - q + 134 = j. Calculate the remainder when q is divided by -69*(2/7 - (-39)/(-63)).
21
Let i(y) = y**3 + 39*y**2 - 40*y + 128. Calculate the remainder when i(-40) is divided by 26.
24
Let x be (6/(-10) - 291/15) + 3. Let j(a) = a**3 + 18*a**2 + 14*a - 34. What is the remainder when 30 is divided by j(x)?
13
Suppose 2*k + k - 140 = -5*v, -4*k + 11 = v. Let q = 126 + -35. Calculate the remainder when q is divided by v.
29
Suppose m = -3*m + 172. Let h = m + -39. Calculate the remainder when (-2)/(4*h/(-216)) is divided by 15.
12
Suppose 0 = -3*k + 6*k - 30. Let z(i) = -i**2 - 9*i - 14. Let v be z(-7). Suppose -5*l + 148 - 3 = v. Calculate the remainder when l is divided by k.
9
Suppose -15 = 3*r, r + 6 - 39 = -2*f. Calculate the remainder when 223 is divided by f.
14
Suppose 0 = -8*w + 68 + 52. What is the remainder when w is divided by 9?
6
Let y(g) be the first derivative of 1/3*g**3 - 2*g + 3/2*g**2 + 5. Calculate the remainder when 22 is divided by y(-5).
6
Let h(d) = -d**2 + 6*d - 2. Let u(r) = -r**3 - 8*r**2 - 8*r + 3. Suppose -39 = 5*g - 4. What is the remainder when u(g) is divided by h(4)?
4
Suppose 0 = -3*m + 6, -2*p = -m + 2 - 6. Let f(h) = -h + 193. Let y(q) = 39. Let j(i) = -2*f(i) + 11*y(i). What is the remainder when j(-17) is divided by p?
0
Suppose 3*u + 333 = 4*a, -3*u + 286 = 3*a + 2*u. Suppose -122*d = -125*d + a. What is the remainder when d is divided by 10?
9
Let o(f) = 72*f + 442. Suppose -h + 18 + 11 = 0. What is the remainder when h is divided by o(-6)?
9
Suppose 36 = 3*g - 6. What is the remainder when (-24)/(-20)*(-650)/(-30) is divided by g?
12
Let i(a) = -a + 8. Let z be (2/4 + (-4)/(-8))*-2. What is the remainder when 49 is divided by i(z)?
9
Suppose -2*p = -10, -5*p = -5*z + 3*z + 7. Suppose 4*s + 3*g - 252 = 0, -4*g + 94 = 4*s - 162. Calculate the remainder when s is divided by z.
12
Suppose 6 = w - 5*p - 11, 2*w + 3*p = 21. Let u be ((-4)/(-6))/(6/(-27)). What is the remainder when w is divided by (2 + 3)*(u - -4)?
2
Suppose 56 = 4*j - 5*x + 3*x, -5*j - 5*x = -70. Calculate the remainder when 122 is divided by j.
10
Let g = -11 + 11. Suppose 4*z = -g*z. Suppose z*m - s + 18 = m, -m + 9 = -2*s. What is the remainder when 29 is divided by m?
14
Let z(c) = -7*c**3 - 2*c - 3. Let x be z(-2). Let u = 72 - x. What is the remainder when u is divided by 8?
7
Suppose -5*s + d + 61 = 0, -s + 2*s - 9 = -3*d. What is the remainder when 20 is divided by s?
8
Let w = 20 + 3. Suppose 144 = 20*z - 19*z. Suppose 132 = 2*g + 4*b + 12, 2*g - 2*b = z. Calculate the remainder when g is divided by w.
22
Let i(q) = q - 3. Let r be i(-27). Let c = 113 + r. What is the remainder when c is divided by 17?
15
Let t(d) = 5*d - 36. Let p be t(8). Suppose 5*l + 133 = p*m + 650, 0 = 4*l + 5*m - 389. Calculate the remainder when l is divided by 51.
50
Let o(a) = -8*a + 1. Let b(p) = 0*p - p + 1 + 0*p + 0. Let d(z) = -4*b(z) + o(z). Calculate the remainder when 49 is divided by d(-5).
15
Let a(g) = 45*g**2 + g. Suppose 29*r - 23*r - 138 = 0. Calculate the remainder when a(2) is divided by r.
21
Let z(u) = -3*u**3 + u + 1. Let c be z(-1). Let b(r) = 2*r + 10. What is the remainder when 63 is divided by b(c)?
15
Let v(j) = j**3 - 14*j**2 + 15*j - 13. Let d be 3 + (-6)/3 - -1. Suppose -5*w = 29 - 9, 34 = 2*l - d*w. What is the remainder when 36 is divided by v(l)?
10
Suppose -m + 247*g - 246*g + 1705 = 0, -4*m + 2*g + 6810 = 0. What is the remainder when m is divided by 63?
62
Let h = 24 + -13. Suppose h*x - 150 = 6*x - a, -3*x - a + 90 = 0. Calculate the remainder when 55 is divided by x.
25
Suppose 6*p = p - 100. Let b be (-4)/(-3)*(-510)/p. Let q = b + -25. What is the remainder when 25 is divided by q?
7
Let x = 37 - 43. Let c(t) = -t**3 - 6*t**2 - 3*t + 1. What is the remainder when 37 is divided by c(x)?
18
Suppose -c + 31 = 18. Suppose -2*u + c = -53. Let f(t) = t + 12. Calculate the remainder when u is divided by f(0).
9
Suppose 4*h + 4*d = d + 912, -3*d - 456 = -2*h. What is the remainder when h is divided by 56?
4
Suppose -60*v = -439 - 2621. What is the remainder when 60 is divided by v?
9
Let c(o) = 3*o**2 - 23*o + 36. Let y(n) = -7*n**2 + 47*n - 73. Let p(w) = -5*c(w) - 2*y(w). What is the remainder when 169 is divided by p(17)?
33
Suppose -62 + 4 = -2*g. Let w = -19 + g. Calculate the remainder when 76/(-2)*1/(-2) is divided by w.
9
Calculate the remainder when 84 is divided by (75/375)/((-2)/(-130)).
6
Let s(g) = -g**3 + 3*g**2 + 173*g + 20. What is the remainder when s(-12) is divided by 28?
20
Suppose 5*c = 0, 20*x = 19*x + 3*c + 42. Calculate the remainder when 1509 is divided by x.
39
Let w = 21 - 9. Suppose -4*q + w = 5*f, 5*f = -q - 2*q + 9. Suppose b - 5*j - 48 = f, -2*b = 4*j + j - 21. Calculate the remainder when b is divided by 8.
7
Let l = 357 + -295. What is the remainder when l is divided by 36?
26
Suppose 0 = -4*h, -n + 3*n + 2*h - 10 = 0. Suppose -2*a + 129 = -5*q - 7, -n*q + 38 = a. What is the remainder when a is divided by 31?
27
Let t(f) = f**3 + 10*f**2 - 46*f - 53. Calculate the remainder when 188 is divided by t(-13).
36
Let v = -14 - -23. Suppose 2*d = 5*m - 8 + 26, 2*m + v = d. Calculate the remainder when 33 is divided by d.
6
What is the remainder when (-1782)/(-11) + 12/1 is divided by 13?
5
Let v = -867 + -336. Let r(u) = 13*u**3 - u - 2. Let j be r(-1). Calculate the remainder when 4/j - v/21 is divided by 12.
9
Let h(g) = -8*g**2. Let r be h(-2). What is the remainder when (-18)/4*r/3 is divided by 25?
23
Suppose 104*d - 103*d = 24. Calculate the remainder when 92 is divided by d.
20
Let j be (1 - 63/(-6))/((-4)/(-8)). Suppose -k + j = 8. What is the remainder when k is divided by 10?
5
Let w be (-2)/(2/(-10) + 0). Suppose 673 = w*y - 397. What is the remainder when y is divided by 18?
17
Let o(p) = p**3 + p**2 - 3*p + 5. Let y = -21 - -40. What is the remainder when o(4) is divided by y?
16
Suppose -5*y = -34 - 71. Suppose 2*v - 2*l + 1 - y = 0, 0 = -v + 4*l + 4. What is the remainder when 82 is divided by v?
10
Let v be (-18)/(-6) + 0/(-2). Suppose 4*w - 20 = -4*j, -w - 5*j = -v*j - 3. What is the remainder when (-73)/(-4) - (-1)/(-4) is divided by w?
4
Let v(a) = 2*a**3 - 6*a**2 + 21*a - 33. Calculate the remainder when 2 + (147 - (0 + 0)) is divided by v(3).
29
Let s = -36 + 31. Calculate the remainder when 46 is divided by (17/2)/(s*(-1)/10).
12
Suppose 2*c + 2*c = -4, -3*m = -3*c - 21. Calculate the remainder when 77 is divided by m.
5
Calculate the remainder when 0 + (-2106)/(-15) + 44/(-110) is divided by (-8)/10*(-12 + -18).
20
Suppose 4*s - 106 = -p, -3*s - p - p = -82. Let k = -170 + 350. Calculate the remainder when k is divided by s.
24
Calculate the remainder when 232 is divided by (-1 - 7) + -15 + 101.
76
Let j = 238 - 149. Suppose -j = -c + 3*i, 6*c = 7*c + i - 77. What is the remainder when c is divided by 14?
10
Let g(o) = -10*o**3 - 4*o**2 + 12*o + 29. Calculate the remainder when g(-4) is divided by 11.
7
Let m(u) = 2*u**3 + 16*u**2 - 2*u + 13. What is the remainder when 374 is divided by m(-8)?
26
Suppose 9 = 3*d - 0*d. Let u = -133 + 149. Calculate the remainder when u is divided by d.
1
What is the remainder when (-16)/(-28)*(31/2 - -2) is divided by 5?
0
Suppose 0 = 5*q - 1101 - 204. What is the remainder when q is divided by 12?
9
Let a(b) = 21*b + 5. Let o be a(3). Let j = -53 + o. What is the remainder when 44 is divided by j?
14
Suppos | {
"pile_set_name": "DM Mathematics"
} |
= -81*y - 342 for y.
-1
Solve -250*h = -199*h + 612 for h.
-12
Solve -42 = -23*u - 19 for u.
1
Solve 355*y + 3835 = -412*y for y.
-5
Solve 460*r + 6603 = -297 for r.
-15
Solve 0 = -12*q + 12*q + 16*q - 96 for q.
6
Solve 742*i = -474*i + 310*i - 21744 for i.
-24
Solve 883*k - 5597 = 175*k - 14093 for k.
-12
Solve 38*p - 523 + 29 = 0 for p.
13
Solve 22*z - 399 - 319 = -322 for z.
18
Solve -69*n - 2858 + 3065 = 0 for n.
3
Solve 11*h + 20*h - 61 - 156 = 0 for h.
7
Solve 116*h = 167*h + 344 + 523 for h.
-17
Solve -104 + 50 - 9 = 7*n for n.
-9
Solve -7862 = 5*k - 7877 for k.
3
Solve -229*o = 322*o - 435*o + 3712 for o.
-32
Solve 8*c + 1371 = 1515 for c.
18
Solve 23197*v - 60 = 23227*v for v.
-2
Solve -1154*t = -734*t + 12180 for t.
-29
Solve 50 = -45*u - 268 - 357 for u.
-15
Solve 14834*i - 11 = 14835*i for i.
-11
Solve -38*k = 17*k + 43*k - 882 for k.
9
Solve -217*t = 105*t - 62*t - 2340 for t.
9
Solve 8 = 6*f + 72 + 26 for f.
-15
Solve -136*t = -62*t - 296 for t.
4
Solve 177*o + 102 = 3465 for o.
19
Solve -290*f = -2765 + 8275 for f.
-19
Solve 2118 - 1897 = 17*m for m.
13
Solve 210 = -h - 6*h + 22*h for h.
14
Solve -27*u - 66 = -768 for u.
26
Solve -36*b = 55*b - 9*b - 902 for b.
11
Solve -162*b - 444 = -125*b for b.
-12
Solve 37*z + 189 = -46*z + 74*z for z.
-21
Solve -1183*t - 144 = -1170*t - 53 for t.
-7
Solve 25*b + 497 = -398 + 570 for b.
-13
Solve -59*d = -8*d + 408 for d.
-8
Solve -12 + 5 = -13*v + 6 for v.
1
Solve -164*u - 1055 - 93 = 0 for u.
-7
Solve 603 = -89*g + 1048 for g.
5
Solve -7*w + 38 = -26*w for w.
-2
Solve -32*z = -2*z - 9*z + 15*z for z.
0
Solve 0 = -27*x + 175 + 62 + 6 for x.
9
Solve 3 + 1 = -m + 2 for m.
-2
Solve -97*q - 600 = 119*q + 84*q for q.
-2
Solve 34*n - 36 = 40*n for n.
-6
Solve 0 = a - 41603 + 41588 for a.
15
Solve -256*s = -191*s + 455 for s.
-7
Solve -19*f + 5*f - 330 = 16*f for f.
-11
Solve -7*u - 424 = 11*u - 532 for u.
6
Solve -r + 15687 = -15*r + 15771 for r.
6
Solve 228361*s + 52 = 228357*s for s.
-13
Solve -403*w - 1265 = 3628 + 1958 for w.
-17
Solve 0 = -6*g + 3886 - 3808 for g.
13
Solve -908 = -232*j + 4538 + 1514 for j.
30
Solve -28*l - 9824 - 9903 = -19895 for l.
6
Solve 0 = 40506*b - 40463*b + 903 for b.
-21
Solve -11*u - 33 = -39 - 27 for u.
3
Solve -11*p + 75 - 163 = 0 for p.
-8
Solve 7*f + 9587 = 9566 for f.
-3
Solve -4768*k + 4809*k = -656 for k.
-16
Solve -40*y - 55*y - 55 - 135 = 0 for y.
-2
Solve 171*f = 38956 - 34168 for f.
28
Solve 3835 = 399*y + 643 for y.
8
Solve -476*n + 10198 = 6929 - 7679 for n.
23
Solve -25*b - 35*b + 360 = 0 for b.
6
Solve 12*n - 431 = -167 for n.
22
Solve -341*r - 7327 = 90*r for r.
-17
Solve -2*l = -16*l - 20*l - 4*l for l.
0
Solve -854*q = -813*q - 134 - 30 for q.
4
Solve 3554 - 1999 = -186*n - 3281 for n.
-26
Solve -31*z - 38*z + 16*z = -318 for z.
6
Solve 3*p - 120*p - 1053 = 0 for p.
-9
Solve 66*u - 990 = -26*u + 122*u for u.
-33
Solve 0 = -36*d + 56*d + 100 for d.
-5
Solve 15 = 272*u - 296*u - 393 for u.
-17
Solve 1520 = -327*b + 1401 + 5351 for b.
16
Solve 4041 = -388*p + 549 for p.
-9
Solve 59*v = -2*v + 32*v for v.
0
Solve -240 = 190227*v - 190257*v for v.
8
Solve 22 = 66*a - 88*a for a.
-1
Solve 114*q + 44666 = 41246 for q.
-30
Solve 181*q - 4914 = 532*q for q.
-14
Solve -5*q - 640 = 22*q + 133*q for q.
-4
Solve -83*t = -239*t - 156 for t.
-1
Solve -1971*r + 1756*r + 6450 = 0 for r.
30
Solve -4043 = 164*s - 2239 for s.
-11
Solve 71*d + 459 = 44*d for d.
-17
Solve 275 = 80*a + 995 for a.
-9
Solve -88 = 309*w - 265*w for w.
-2
Solve -5201*k = -5231*k - 300 for k.
-10
Solve -114*t = -4726 + 964 for t.
33
Solve 0 = -24*y + 459 - 267 for y.
8
Solve 31*j + 163 + 60 = -118 for j.
-11
Solve -7*m + 38 + 4 - 7 = 0 for m.
5
Solve 325*t - 55*t - 572 = 127*t for t.
4
Solve 270 = 7*r + 221 for r.
7
Solve -16*v + 4*v - 36 = 0 for v.
-3
Solve -169*b + 274*b = 216*b - 888 for b.
8
Solve 2923 = -51*u + 4045 for u.
22
Solve -969*y + 324 = -233*y - 21756 for y.
30
Solve -3564*t = -3535*t + 116 for t.
-4
Solve 338 = -53*k - 55 - 932 for k.
-25
Solve 18*t - 166 = 39 - 79 for t.
7
Solve 460*k - 531*k + 1491 = 0 for k.
21
Solve -206*q - 317*q + 4488 = -149*q for q.
12
Solve 4*f + 17*f = -56*f + 1540 for f.
20
Solve -23*d - d = 11*d + 175 for d.
-5
Solve -665*f = -351*f - 340*f + 442 for f.
17
Solve 1477*c - 1504*c = -324 for c.
12
Solve -10 + 215 - 23 = -14*a for a.
-13
Solve -1128*q = -1148*q - 380 for q.
-19
Solve 832 - 1844 = 23*v - 874 for v.
-6
Solve -1114 = 579*j - 1644 - 2365 for j.
5
Solve -54 = -1217*g + 1224*g - 152 for g.
14
Solve -37*g = -15*g + 414 - 128 for g.
-13
Solve -73*g = 264 - 118 for g.
-2
Solve 2*x + 21 - 16 = -3 for x.
-4
Solve -548 - 27 = 47*n - 22*n for n.
-23
Solve -2*b + 5*b = -2*b - 15 for b.
-3
Solve -72*v = 8468 - 6668 for v.
-25
Solve 14 = 37*h - 97 for h.
3
Solve -582 = -15*y + 52*y + 47 for y.
-17
Solve -55*c = -70*c + 60 for c.
4
Solve -16*k + 91*k = -975 + 150 for k.
-11
Solve 0 = 474*g - 441*g - 429 for g.
13
Solve 0 = 632*n + 421*n + 10530 for n.
-10
Solve 30*r + 201*r = 8*r - 2676 for r.
-12
Solve 981*r + 276 = 471*r + 487*r for r.
-12
Solve 858 = 88*y - 217*y - 303 for y.
-9
Solve -101*s + 3128 = 35*s for s.
23
Solve -716 = -32*t - 492 for t.
7
Solve 27 = -35*i + 62 + 35 for i.
2
Solve 5692 - 1320 + 2045 = 279*f for f.
23
Solve 138*s - 549 = 18 - 15 for s.
4
Solve -1423 = 14*w + 112*w + 89 for w.
-12
Solve w - 80*w = 270 + 125 for w.
-5
Solve 10343 = -11*z + 10596 for z.
23
Solve -155305*l + 504 = -155281*l for l.
21
Solve -23*x + 581 - 604 = 0 for x.
-1
Solve 1915*y - 54 = 1918*y for y.
-18
Solve 62*j - 152*j = 184*j - 2740 for j.
10
Solve -48*t - 18*t + 178 = 23*t for t.
2
Solve -41*y - 13*y + 378 = 0 for y.
7
Solve -227*j - 77*j - 4302 - 4210 = 0 for j.
-28
Solve 169*b + 27*b + 3190 = -94*b for b.
-11
Solve 0 = 213*i - 1374 + 1161 for i.
1
Solve 468*q - 974 + 5395 = -6811 for q.
-24
Solve 187 + 133 = 64*p for p.
5
Solve -3402 = 6*y - 3348 for y.
-9
Solve -4*k = 4*k - 61 - 27 for k.
11
Solve 2360*u - 1639 = 2211*u for u.
11
Solve 8078*m = 8157*m - 711 for m.
9
Solve -564*h = -156*h - 2448 for h.
6
Solve 0 = -69*u - 2026 + 301 for u.
-25
Solve 690*m = 1349 + 1373 + 38 for m.
4
Solve -106*y = 214*y - 22 + 5782 for y.
-18
Solve 204*a = 189*a + 45 for a.
3
Solve 60*p - 961 = -1381 for p.
-7
Solve -312*w - 1155 = 2391 + 2382 for w.
-19
Solve -58*u + 136*u = 0 for u.
0
Solve 504 + 686 = 1075*u + 115 for u.
1
Solve -44*i = -119*i - 1050 for i.
-14
Solve -7520 = 685*i + 4125 for i.
-17
Solve 7*s + 914 = 928 for s.
2
Solve -127*t - 404 = -1039 for t.
5
Solve -5*l = 13*l + 16 + 182 for l.
-11
Solve 123 + 12 = 12*h - 57 for h.
16
Solve 0 = 9456*h - 9421*h + 840 for h.
-24
Solve -22 = 21*m + m for m.
-1
Solve 436 = -120*o + 11*o for o.
-4
Solve -258 = -24*z + 198 for z.
19
Solve 0 = 393*x - 4303 + 621 - 248 for x.
10
Solve 87*w - 1089 = -276*w for w.
3
Solve 13*t - 116*t + 31 = -587 for t.
6
Solve 109*t + 936 + 866 - 58 = 0 for t.
-16
Solve 0 = -4*d + 11642 - 11590 for d.
13
Solve 0 = 53*d + 47 + 483 for d.
-10
Solve 75*m + 54*m - 129 = 0 for m.
1
Solve -222*r = -238*r + 64 for r.
4
Solve -3*r + 44 = -21*r - 10 for r.
-3
Solve 1399 = -412*s - 661 for s.
-5
Solve 0 = -27*z + 1073 - 1289 for z.
-8
Solve 0 = -203*p - 339 + 2978 for p.
13
Solve 0 = -567*w + 8227 - 856 for w.
13
Solve 17*i = -4*i + 101 + 25 for i.
6
Solve 259*a - 484*a = -246*a - 462 for a.
-22
Solve 16*i + 1482 = 1690 for i.
13
Solve -61*j - 36*j = -24*j - 438 for j.
6
Solve 66*i = -801 - 1839 for i.
-40
Solve -42*f = -127*f + 85 for f.
1
Solve -7*y + 72 = -61 for y.
19
Solve -271*q - 112 = -263*q for q.
-14
Solve 75*o - 221 = -1438 - 508 for o.
-23
Solve -30*q - 25*q + 54 = 164 for q.
-2
Solve 656*u = 970*u for u.
0
Solve 66*w + 18*w - 729 = 3*w for w.
9
Solve 21*h + 2*h - 88 = 15*h for h.
11
Solve 0 = -288*y - 66*y + 3488 - 1010 for y.
7
Solve -56 = -11*o - 5 + 114 for o.
15
Solve 11*o - 8708 = -8378 for o.
30
Solve -239*y + 45*y = 2339 + 571 for y.
-15
Solve -68*w - 1050 = -131*w - 287*w for w.
3
Solve 51 = 96*m + 819 for m.
-8
Solve -3*t - 238 + 220 = 0 for t.
-6
Solve 20*v - 24 = 17*v for v.
8
Solve 78*d + 1717 = 235 for d.
-19
Solve -193*b + 5496 = -11*b + 47*b for b.
24
Solve 0 = -10*c - 1135 + 1255 for c.
12
Solve -104*t + 52993 = 49665 for t.
32
Solve 0 = -3757*c + 3739*c + 1 | {
"pile_set_name": "DM Mathematics"
} |
*m - 12 = -0*m, t*m + 4 = 0. Suppose 0 = -5*q + 5, -c*a + 0*q + 54 = 4*q. What is a rounded to the nearest ten?
30
Let s = 0.5 - 0.35. Let o = s + -0.6. What is o rounded to one decimal place?
-0.5
Let q = -0.0778 + -34.1022. Let o = q + 0.18. Let b = -34.00000061 - o. Round b to seven decimal places.
-0.0000006
Let m be 18/(-81) - (-29698)/(-9). Let h be (-663 + 3)*m/9. Round h to the nearest ten thousand.
240000
Let k = 10.00000076 + -10. What is k rounded to 7 decimal places?
0.0000008
Let n(j) = j - 3. Let o be n(6). Let r be (o - (-66)/(-8))*36. What is r rounded to the nearest ten?
-190
Suppose -2*l + 2*i = 5*i + 29988, -15004 = l - i. What is l rounded to the nearest ten thousand?
-20000
Let n = 0.09 + -4.49. Round n to zero decimal places.
-4
Let v = -29 + 37.6. What is v rounded to zero decimal places?
9
Let u = -0.06 - -0.0599928. What is u rounded to six decimal places?
-0.000007
Suppose 2*j + 21192 = 63192. What is j rounded to the nearest 1000?
21000
Let h = 0.05700256 + -0.057. Round h to 7 dps.
0.0000026
Let p(m) = -m**3 + 3*m**2 + 5*m - 2. Let n be p(4). Let o be 71/2 - n/4. Suppose -3*u + o - 2 = 0. What is u rounded to the nearest ten?
10
Let n = 78.8 + -63. Let i = n - 15.80000067. What is i rounded to 7 dps?
-0.0000007
Suppose 0 = -11*v + 6*v - 200. Let k be -3 - 7/(14/v). What is k rounded to the nearest ten?
20
Let h(x) = -25156*x - 3. Let g be h(-3). Suppose g + 64535 = -2*p. What is p rounded to the nearest ten thousand?
-70000
Let w = -13215807 - -13215735.00033. Let n = 23 + -95. Let u = w - n. What is u rounded to four dps?
0.0003
Let s = -165 + 258. Let y = s + -272. Round y to the nearest 10.
-180
Let t = -146.4 - -163. Let s = -16.5999909 + t. What is s rounded to 6 decimal places?
0.000009
Let f = 61529174 - 100229174. Round f to the nearest one million.
-39000000
Let c(g) = 80*g + 2 + 2 - 4 - 2. Let z be c(-1). What is z rounded to the nearest 10?
-80
Let v = 23.000186 - 23. Round v to 5 dps.
0.00019
Let l = 765.1 + -803. Round l to 0 decimal places.
-38
Let v = 186932832.812 - 183202590.6. Let f = -3730224.21199957 + v. Let k = -18 + f. Round k to 7 decimal places.
0.0000004
Let z = -1743.3103 + 1840.32. Let d = 97 - z. Round d to three decimal places.
-0.01
Let l = -804137 + 532137. Round l to the nearest one hundred thousand.
-300000
Let m = -133.806 - -134. Let t = -0.2 - 0. Let y = t + m. Round y to two decimal places.
-0.01
Let i = 3.8 + -3.80000085. Round i to seven dps.
-0.0000009
Let m = 4944389 + -4944390.99999968. Let r = -2 - m. Round r to 7 decimal places.
-0.0000003
Let w = 294657 + 878942. Let g(l) = -12752*l**3 + 7*l**2 - 2*l + 8. Let o be g(7). Let r = w + o. What is r rounded to the nearest one million?
-3000000
Suppose h - 2*j - 7 = j, -5*h + 5*j = -45. Suppose -5*w - h = 0, 3*a + 0*w + 4*w + 108008 = 0. What is a rounded to the nearest 10000?
-40000
Let m = 654 - 643.16. Let w = m - 0.64. Round w to zero decimal places.
10
Let m = 168 + -253. Let x = m + 84.99999839. Round x to seven decimal places.
-0.0000016
Let i be (-8)/(1*-2) + 1. Let j = i - -1. Suppose j*a - f - 58001 = 4*a, 0 = 2*a - 2*f - 58002. Round a to the nearest 10000.
30000
Let g = 0.038 - -0.05. Let s = -0.155 + g. Let w = -0.06731 - s. Round w to four dps.
-0.0003
Let o = -4.57 - -4.5700247. Round o to five dps.
0.00002
Let f = -1 - -21. Let c be (-6)/15 + (-3671472)/f. Let w = -46426 + c. Round w to the nearest one hundred thousand.
-200000
Let w = -0.26 + 0.260038. What is w rounded to 5 decimal places?
0.00004
Let a(n) = n**2 + 6*n. Let w be a(-5). Let q be (-2)/10 + (-18500001)/w. Round q to the nearest 1000000.
4000000
Let l = -171.3 - -160.3006. Let a = l + 11. Round a to three dps.
0.001
Let i = -100 + 171. Let o = -71.74 + i. What is o rounded to 1 dp?
-0.7
Let y = 24.412 - 24. Let n = y - -0.018. Round n to one decimal place.
0.4
Let j = 2.7 + -13.7. Let x = j + 11.016. Round x to 2 decimal places.
0.02
Suppose -3*a = -5*u - 84299990, -a = 3*u - 8*u - 28099990. What is a rounded to the nearest one million?
28000000
Let u = -1.9 + 2.13. Let g = -0.23018 + u. Round g to 4 decimal places.
-0.0002
Let i = -713 + 712.99999711. What is i rounded to seven decimal places?
-0.0000029
Let i = -0.91 + 0.71. Round i to one decimal place.
-0.2
Let y be 40*13*(-10)/(-4). What is y rounded to the nearest one hundred?
1300
Let x = -469.3 - -594. Let h = x - 130. Round h to the nearest integer.
-5
Let u be 2 - (-3 - (1 + -9)). Let c be 16*750*(-478 - u). Round c to the nearest 1000000.
-6000000
Let r be (-4)/(-12) - (-672958)/(-3). Let q = 175681 - r. Suppose g = -0*g + q. What is g rounded to the nearest one million?
0
Let p = -1390.01 + 1507.109. Let y = 117 - p. Round y to two dps.
-0.1
Suppose 2*r - 22 = x + 30, -5*x + 5*r - 275 = 0. Let s = x - -18. What is s rounded to the nearest 100?
0
Let b = -112 - -108.77. Let p = 1.01 + b. Let k = -2.22113 - p. What is k rounded to 4 decimal places?
-0.0011
Suppose -b + 4410 = b. Suppose -3*l + 60405 = b. What is l rounded to the nearest 1000?
19000
Let q = 375.6 - 8285.6. Let t = q - -7909.5921. Let y = 0.41 + t. Round y to three decimal places.
0.002
Let s = -56.9 - -56.651. What is s rounded to 2 dps?
-0.25
Let s(f) = -5*f - 6*f + 5 + 1. Let u be s(-6). Let z = -12 - u. What is z rounded to the nearest ten?
-80
Let j = -1.06 + 1. Let v = j - -0.0548. Round v to three decimal places.
-0.005
Let p = 0.89 - 5.79. What is p rounded to zero decimal places?
-5
Let r = -16 + -32. Let m = r - -48.0000145. What is m rounded to six dps?
0.000015
Let p = -0.13 + 0.03. Round p to two decimal places.
-0.1
Let a(g) = g**2 - 7*g - 2. Let d be a(10). Let z be (-4)/18 + d/(-36). Let m be z*(-3)/(6/(-820)). Round m to the nearest 100.
-400
Let p = 61.000049 - 61. What is p rounded to 5 dps?
0.00005
Suppose 0 = 2*a + 11*a + 4810. What is a rounded to the nearest 1000?
0
Let g = -15 + 15.000001. What is g rounded to 7 decimal places?
0.000001
Let d be -1 + 1 + 7 + -2. Let c = d - 0. Suppose -c*k = -3*k + 1640000. Round k to the nearest one hundred thousand.
-800000
Suppose 0 = -4*h - 42 + 6. Let m = h - -9. Suppose 0 = -4*t - m*t - 680. Round t to the nearest 100.
-200
Let f = 0.04 + 0. Let b = f + 0.03. What is b rounded to 1 dp?
0.1
Let d = -3 - -3.8. Round d to one decimal place.
0.8
Let i = 0.078 - -9.722. What is i rounded to 0 dps?
10
Let b(i) = 4*i**2 + i + 1. Let m be b(-3). Suppose -14 = -5*p - m, 3*k - 5*p = -1559980. What is k rounded to the nearest one hundred thousand?
-500000
Let m(u) = 9*u**2 - 2*u - 2. Let c be m(-1). Suppose -4*i = -c - 3, 4*l + i = 267. Round l to the nearest ten.
70
Let q = 2.76 + -2.7489. What is q rounded to 3 decimal places?
0.011
Let v = -0.0444 + 3.5544. Let z = v + -0.31. What is z rounded to zero decimal places?
3
Let w = 20 - 19.912. Let q = -0.08837 + w. What is q rounded to four decimal places?
-0.0004
Let r(y) = y + 3. Let c be r(-5). Let a be (2120/(-12))/(c/(-6)). Round a to the nearest one hundred.
-500
Let j = 1268.58 - 1273.58026. Let k = j + 5. Round k to 4 decimal places.
-0.0003
Let m = -124.2 - -115. What is m rounded to zero decimal places?
-9
Suppose 2*j + 10 = -3*j, 5*f + j - 1723 = 0. What is f rounded to the nearest 10?
350
Let x = 2 + 0. Suppose x*u - 9734 = 7066. What is u rounded to the nearest 1000?
8000
Let z = 463 - 465.69. What is z rounded to 1 dp?
-2.7
Let g = -59.95 + 62. Let i = 0.01 - g. Let k = i + -7.26. Round k to the nearest integer.
-9
Let y = -101 - -101.000292. Round y to four dps.
0.0003
Let l(f) = f**2 + 8*f - 7. Let w be l(-9). Suppose -780009 = -o + 3*d, -5*o + 2340012 = -w*o - 4*d. What is o rounded to the nearest one hundred thousand?
800000
Let k(i) = i**3 + 4*i**2 - 7*i. Let f(j) = -4*j**2 + 8*j - 1. Let p(w) = 2*f(w) + 3*k(w). Let h be p(6). What is h rounded to the nearest one hundred?
800
Let o(u) = 3*u - 7. Let k be o(5). Let l be 622/((k/90)/4). Suppose -5*h + 5*y + l = 0, -3*y - 11190 = -2*h + 2*y. Round h to the nearest one thousand.
6000
Suppose 2*m + 28 = 4*m. Let w be m/(-4)*(-8 - 2). What is w rounded to the nearest ten?
40
Let k(j) = -70*j**3 - j - 1. Suppose 3*g - 5 = -4*w, 0*w - 2*w = g - 3. Let m be k(g). What is m rounded to the nearest ten?
70
Let q be (1*-1)/((-10)/40). Suppose 0 = -5*d + 3*m - | {
"pile_set_name": "DM Mathematics"
} |
864, 846, 848, 876, 936, 1034, 1176?
1368
What is next in -1866, -6472, -14150, -24900, -38722, -55616?
-75582
What comes next: 183595, 183608, 183619, 183628, 183635, 183640?
183643
What is the next term in 3486, 6924, 10362, 13800, 17238?
20676
What is next in -137, -396, -797, -1340, -2025, -2852?
-3821
What comes next: -1430, -2311, -3182, -4037, -4870, -5675?
-6446
What comes next: 84, 473, 1150, 2115, 3368, 4909?
6738
What is the next term in -25599, -25689, -25839, -26049, -26319, -26649, -27039?
-27489
What is the next term in -6841, -6903, -7085, -7447, -8049, -8951, -10213, -11895?
-14057
What comes next: 1723, 3419, 5057, 6607, 8039, 9323, 10429, 11327?
11987
What comes next: -7143, -7139, -7135, -7131, -7127?
-7123
What is the next term in 1179692, 2359379, 3539066, 4718753, 5898440?
7078127
What is the next term in 12303, 12296, 12289, 12282, 12275?
12268
What is the next term in 63, 108, 51, -216, -801, -1812, -3357, -5544?
-8481
What is next in 2640, 5232, 7810, 10368, 12900, 15400, 17862, 20280?
22648
What is the next term in -89, -270, -543, -908, -1365, -1914?
-2555
What is the next term in 2084, 2127, 2202, 2309?
2448
What is the next term in 11177, 11154, 11131, 11108?
11085
What is the next term in 8643, 8649, 8655, 8661, 8667?
8673
What is next in -2237, -8952, -20141, -35804, -55941, -80552?
-109637
What comes next: -298, -249, -200, -151, -102, -53?
-4
What is next in -78, -224, -656, -1518, -2954, -5108, -8124?
-12146
What is the next term in -3711, -3694, -3665, -3618, -3547, -3446, -3309, -3130?
-2903
What is the next term in 4215, 4242, 4289, 4356, 4443, 4550?
4677
What comes next: -898, -1251, -1592, -1915, -2214?
-2483
What is next in -63015, -63020, -63029, -63042, -63059?
-63080
What is the next term in 1133, 1101, 1033, 917, 741?
493
What is the next term in -270, -520, -770, -1020, -1270, -1520?
-1770
What is the next term in 123051, 123051, 123053, 123057, 123063, 123071, 123081?
123093
What is the next term in 6404683, 6404684, 6404685, 6404686?
6404687
What comes next: -83005, -332020, -747043, -1328074, -2075113?
-2988160
What is next in 8, 77, 206, 395, 644?
953
What is next in 70772, 141522, 212272, 283022?
353772
What is the next term in 392, 960, 1528, 2096?
2664
What is the next term in -9022, -18048, -27074, -36100, -45126?
-54152
What comes next: 827, 815, 797, 773, 743, 707, 665?
617
What comes next: 142828, 142817, 142808, 142801, 142796, 142793?
142792
What comes next: -9025, -18064, -27115, -36178?
-45253
What is next in -16, -148, -544, -1342, -2680, -4696, -7528, -11314?
-16192
What is the next term in 2306, 7777, 16896, 29663, 46078, 66141, 89852?
117211
What is the next term in -106207, -212406, -318605, -424804, -531003?
-637202
What is next in 5094, 5164, 5234, 5304, 5374?
5444
What comes next: -631, -599, -545, -469?
-371
What comes next: -29083, -29242, -29401?
-29560
What comes next: 1460, 2906, 4352, 5798, 7244?
8690
What is next in 57, -334, -725?
-1116
What is next in 1511, 6027, 13549, 24077, 37611, 54151, 73697?
96249
What is the next term in -275375, -550754, -826145, -1101554, -1376987?
-1652450
What comes next: -410, -1615, -3616, -6413, -10006?
-14395
What is the next term in -85, -331, -741, -1315?
-2053
What is the next term in 1401, 2778, 4151, 5520, 6885, 8246, 9603?
10956
What comes next: -2085, -2081, -2077, -2079, -2093, -2125, -2181?
-2267
What is the next term in 873, 867, 849, 813, 753?
663
What is the next term in -14, 37, 172, 427, 838, 1441?
2272
What is the next term in 921, 1855, 2805, 3777, 4777, 5811?
6885
What comes next: -408, -1048, -1920, -3018, -4336, -5868?
-7608
What is next in 670, -106, -884, -1664?
-2446
What is next in -297301, -297304, -297307, -297310?
-297313
What is next in 872, 3421, 7670, 13619?
21268
What is the next term in -358, -433, -512, -589, -658, -713?
-748
What is the next term in -2859, -2879, -2901, -2925, -2951, -2979, -3009?
-3041
What is next in 255, 265, 287, 315, 343?
365
What comes next: 517, 1608, 3427, 5974, 9249?
13252
What is next in -261, -1120, -2561, -4590, -7213, -10436?
-14265
What is the next term in 811, 1406, 2001, 2596, 3191?
3786
What comes next: 900310, 1800619, 2700928, 3601237, 4501546, 5401855?
6302164
What comes next: 10313, 10282, 10251?
10220
What is the next term in -47, -129, -215, -305, -399?
-497
What is next in -39, -109, -205, -327?
-475
What comes next: 185, 1186, 3905, 9200, 17929?
30950
What is the next term in -900, -1578, -2256?
-2934
What is the next term in -37823, -38215, -38869, -39785?
-40963
What comes next: 106834, 106833, 106832?
106831
What is next in 61481, 61484, 61489, 61496, 61505?
61516
What is the next term in -3894, -7835, -11776, -15717?
-19658
What comes next: -189, -1102, -3577, -8394, -16333, -28174, -44697, -66682?
-94909
What is the next term in -32975, -32922, -32857, -32774, -32667, -32530, -32357, -32142?
-31879
What is next in -1134, -1073, -926, -651, -206, 451, 1362?
2569
What comes next: -54422, -108848, -163272, -217694, -272114, -326532?
-380948
What is the next term in -440, -428, -394, -326, -212, -40, 202, 526?
944
What is next in -4132, -8156, -12180, -16204, -20228, -24252?
-28276
What is the next term in -78397, -78385, -78347, -78271, -78145, -77957?
-77695
What comes next: 2078, 4023, 5970, 7919, 9870?
11823
What is the next term in -2690, -5270, -7850, -10430, -13010?
-15590
What comes next: -144839, -144844, -144849, -144854?
-144859
What is next in 21600, 43238, 64876?
86514
What is the next term in -19049, -38102, -57155, -76208?
-95261
What comes next: 930703, 930709, 930729, 930769, 930835, 930933, 931069?
931249
What is next in 1481, 2175, 2869?
3563
What is the next term in -150, -1089, -3650, -8643, -16878, -29165?
-46314
What is the next term in 7469, 7564, 7659, 7754, 7849?
7944
What is the next term in -320, -258, -160, -32, 120, 290, 472, 660?
848
What is next in -44851, -44854, -44857, -44860, -44863, -44866?
-44869
What is the next term in -1686, -1558, -1346, -1050?
-670
What comes next: 826, 1611, 2396?
3181
What comes next: 1022534, 2045069, 3067604, 4090139, 5112674?
6135209
What comes next: 292124, 292118, 292102, 292070, 292016, 291934, 291818, 291662?
291460
What comes next: -150, 440, 1446, 2886, 4778, 7140, 9990, 13346?
17226
What is next in -27, -199, -371, -543?
-715
What comes next: -43196, -86394, -129592, -172790, -215988, -259186?
-302384
What comes next: -277, -291, -325, -385, -477, -607?
-781
What is next in -222, 35, 440, 999, 1718, 2603, 3660?
4895
What is next in -69, -212, -345, -468, -581?
-684
What is next in -398345, -398343, -398341?
-398339
What is the next term in -512, -484, -566, -812, -1276, -2012, -3074, -4516?
-6392
What is next in 690, 1304, 1870, 2388, 2858?
3280
What comes next: 265, 1155, 2669, 4807, 7569, 10955?
14965
What is the next term in -1598, -1592, -1582, -1568, -1550, -1528, -1502?
-1472
What is next in -203, -96, 9, 112, 213?
312
What comes next: -92838, -92848, -92862, -92880, -92902?
-92928
What is the next term in 431265, 431267, 431269?
431271
What is next in 1025, 1020, 1023, 1034?
1053
What is the next term in -228, -746, -1250, -1734, -2192, -2618?
-3006
What is next in 97, 993, 3487, 8383, 16485, 28597, 45523, 68067?
97033
What is the next term in 28403, 113609, 255617, 454427, 710039, 1022453?
1391669
What comes next: 463, 1017, 1571, 2125, 2679, 3233?
3787
What is the next term in -4350, -17219, -38658, -68661, -107222, -154335, -209994, -274193?
-346926
What comes next: -1283, -1251, -1175, -1037, -819, -503, -71, 495?
1213
What is next in -125887, -125889, -125891, -125893, -125895, -125897?
-125899
What is the next term in -42239, -42238, -42237, -42236, -42235?
-42234
What comes next: -15064, -15177, -15290, -15403?
-15516
What is the next term in 95071, 95072, 95073?
95074
What is next in -3665, -3629, -3531, -3341, -3029, -2565?
-1919
What is the next term in -870, -904, -938?
-972
What is the next term in 463, 953, 1449, 1951, 2459, 2973, 3493?
4019
What comes next: -320, -371, -542, -905, -1532, -2495?
-3866
What is next in 8, 88, 256, 536, 952?
1528
What is next in -288, -528, -744, -930, -1080, -1188?
-1248
What is the next term in -2, -10, -16, -14, 2?
38
What comes ne | {
"pile_set_name": "DM Mathematics"
} |
ple of 175 and 22?
3850
Find the common denominator of 113/4440 and -71/5565.
1647240
Calculate the smallest common multiple of 119436 and 59718.
119436
Find the common denominator of 95/283538 and -127/18.
2551842
Find the common denominator of -32/93 and 10/32271.
32271
Calculate the lowest common multiple of 33 and 125176.
4130808
What is the smallest common multiple of 380 and 225?
17100
What is the lowest common multiple of 1105 and 590?
130390
Calculate the smallest common multiple of 650 and 28600.
28600
What is the least common multiple of 60176 and 82742?
661936
What is the least common multiple of 4 and 725844?
725844
Calculate the least common multiple of 43700 and 3036.
1442100
Calculate the common denominator of -38/575 and -107/1250.
28750
Calculate the smallest common multiple of 1260 and 860.
54180
Calculate the lowest common multiple of 160 and 861376.
4306880
Calculate the least common multiple of 96 and 99280.
595680
Calculate the lowest common multiple of 12155 and 585.
109395
What is the smallest common multiple of 7670 and 28028?
8268260
Calculate the smallest common multiple of 573 and 7862.
4504926
Calculate the smallest common multiple of 839122 and 14.
5873854
Calculate the common denominator of -24/143 and -5/562.
80366
Find the common denominator of -54/22165 and 43/8463.
465465
What is the common denominator of -19/42255 and 47/6?
84510
Calculate the least common multiple of 3330 and 420.
46620
Find the common denominator of -71/6380 and 29/440.
12760
Calculate the common denominator of -27/4 and -41/12.
12
What is the common denominator of 95/22176 and -13/98?
155232
Calculate the least common multiple of 288 and 334104.
4009248
What is the smallest common multiple of 45188 and 69836?
768196
Find the common denominator of -1/1334 and -145/78.
52026
Calculate the least common multiple of 23732 and 32.
189856
What is the lowest common multiple of 2461 and 27071?
27071
Calculate the lowest common multiple of 114 and 3378.
64182
What is the least common multiple of 2164 and 541?
2164
Calculate the smallest common multiple of 534 and 84.
7476
Calculate the lowest common multiple of 4880 and 296460.
1185840
What is the least common multiple of 702368 and 9340?
3511840
Calculate the smallest common multiple of 16864 and 24800.
421600
Calculate the lowest common multiple of 2050818 and 363.
22558998
What is the smallest common multiple of 15 and 16895?
50685
What is the lowest common multiple of 125136 and 22752?
250272
Calculate the common denominator of -107/84 and -50/9933.
39732
Calculate the common denominator of -83/406 and -93/6062.
175798
Find the common denominator of 193/8316 and 71/12628.
340956
What is the common denominator of 209/26880 and 211/2100?
134400
Calculate the smallest common multiple of 3726 and 7236.
499284
What is the common denominator of 9/38512 and -23/72?
346608
Calculate the lowest common multiple of 2532 and 7512.
1585032
Calculate the smallest common multiple of 129675 and 2717.
1426425
What is the least common multiple of 35 and 52675?
52675
What is the common denominator of 56/339849 and -29/189?
2378943
Calculate the common denominator of 7/150 and 29/131400.
131400
Find the common denominator of -9/440 and -203/13530.
54120
What is the smallest common multiple of 242 and 34?
4114
What is the smallest common multiple of 160 and 9408?
47040
What is the smallest common multiple of 799166 and 14?
5594162
Calculate the smallest common multiple of 436677 and 22983.
436677
What is the smallest common multiple of 139551 and 3258?
837306
Find the common denominator of 89/5313 and 1/6923.
228459
What is the common denominator of 53/606880 and -93/121376?
606880
What is the smallest common multiple of 204 and 570?
19380
Calculate the common denominator of 149/52896 and -169/46284.
370272
Find the common denominator of 139/285768 and -41/98.
285768
Calculate the smallest common multiple of 772710 and 860.
1545420
What is the common denominator of -61/40984 and 15/10246?
40984
Calculate the least common multiple of 357955 and 390.
2147730
Calculate the least common multiple of 4 and 1011144.
1011144
What is the smallest common multiple of 586105 and 107315?
7619365
Find the common denominator of -4/43915 and 7/50.
439150
Calculate the common denominator of -65/387038 and 35/5172.
2322228
What is the least common multiple of 29763 and 115745?
1041705
Calculate the common denominator of 99/35440 and 145/10632.
106320
What is the common denominator of -17/3960 and -17/30?
3960
Find the common denominator of 139/1176 and -59/63.
3528
What is the lowest common multiple of 44 and 6024?
66264
Calculate the common denominator of 21/1192 and 67/112.
16688
Calculate the lowest common multiple of 12 and 396536.
1189608
Find the common denominator of -5/369 and -67/21566.
194094
Find the common denominator of 67/3570 and 109/271558.
4073370
Find the common denominator of -73/1514 and 109/150.
113550
What is the lowest common multiple of 27354 and 50?
683850
What is the common denominator of 43/109834 and 65/22?
1208174
What is the least common multiple of 84 and 8610?
17220
What is the common denominator of 127/1255212 and 31/68?
1255212
Find the common denominator of -87/23840 and -67/160.
23840
What is the common denominator of 51/1729 and 3/65975?
1253525
What is the least common multiple of 24340 and 69?
1679460
Calculate the common denominator of -37/5213 and 93/41704.
41704
Find the common denominator of 10/27 and -82/2525715.
2525715
Calculate the common denominator of -93/1544 and 14/11387.
91096
Calculate the common denominator of -59/27 and 67/41142.
370278
What is the smallest common multiple of 4470 and 36?
26820
Calculate the least common multiple of 3926 and 21593.
43186
Find the common denominator of 61/19952 and -42/215.
99760
What is the smallest common multiple of 65975 and 10556?
263900
Calculate the smallest common multiple of 349 and 508.
177292
Calculate the common denominator of 167/30 and -143/456.
2280
What is the common denominator of 29/120 and -191/40170?
160680
What is the smallest common multiple of 38151 and 135?
190755
What is the common denominator of 83/1720 and 119/224030?
896120
What is the smallest common multiple of 1325584 and 48?
3976752
What is the smallest common multiple of 795 and 1185?
62805
Find the common denominator of 145/192 and 59/22792.
547008
Calculate the smallest common multiple of 65 and 26.
130
Calculate the common denominator of -145/9288 and 47/1935.
46440
Find the common denominator of -93/10708 and -8/24093.
96372
What is the common denominator of 93/38012 and 7/1548?
342108
What is the lowest common multiple of 10093 and 23?
232139
Find the common denominator of 47/24 and -20/31707.
253656
What is the common denominator of 10/92697 and -38/1070229?
11772519
Calculate the common denominator of -111/29288 and 81/140.
146440
What is the smallest common multiple of 663876 and 486?
663876
What is the common denominator of 43/11570 and 53/1690?
150410
Calculate the common denominator of 127/4920 and -77/25380.
2081160
Calculate the lowest common multiple of 1320 and 1560.
17160
Calculate the common denominator of 14/9 and 1/2125.
19125
What is the smallest common multiple of 4 and 41934?
83868
What is the smallest common multiple of 140 and 59980?
419860
What is the least common multiple of 74 and 105376?
105376
Find the common denominator of 53/158499 and -8/129681.
1426491
Calculate the lowest common multiple of 8 and 46648.
46648
What is the common denominator of -47/924555 and 65/184911?
924555
Calculate the common denominator of -6/1167161 and -21/2495.
5835805
Calculate the smallest common multiple of 7722 and 39468.
355212
What is the common denominator of 65/24 and 37/2040660?
4081320
Calculate the smallest common multiple of 376 and 36566.
146264
Calculate the common denominator of -121/40 and -73/9940.
19880
What is the lowest common multiple of 600 and 2600?
7800
Calculate the common denominator of 73/882 and 89/216.
10584
Find the common denominator of 80/40527 and 38/869.
445797
Calculate the lowest common multiple of 7378 and 5270.
36890
Calculate the common denominator of -77/85221 and -71/30.
852210
Calculate the least common multipl | {
"pile_set_name": "DM Mathematics"
} |
he terms in -2 + 0 - 2910*h + 2.
-2910*h
Collect the terms in -206*u**2 - 202*u**2 - 210*u**2 + 694*u**2.
76*u**2
Collect the terms in -20*j - 3*j**3 - 3*j**3 - 7 - 29*j.
-6*j**3 - 49*j - 7
Collect the terms in -636*k**3 - 488*k**3 + 1139*k**3.
15*k**3
Collect the terms in -4528826*j**2 + 4528826*j**2 + 22*j**3.
22*j**3
Collect the terms in 1 - 3128978*b + 3128943*b - 1.
-35*b
Collect the terms in -27*i**2 + 143 - 2*i**2 - 42.
-29*i**2 + 101
Collect the terms in -189*b - 202*b - 203*b + 609*b.
15*b
Collect the terms in -4655*z**3 + 2337*z**3 - 3*z + 3*z + 2319*z**3.
z**3
Collect the terms in 4*z - 19*z - 10*z - 2*z + 36*z.
9*z
Collect the terms in 1640*w - 1640*w - 350*w**3.
-350*w**3
Collect the terms in -150866*j - 46 + 150843*j + 46.
-23*j
Collect the terms in -7*m**2 + 257*m**3 - 1 - 3 - 256*m**3 + 7*m**2.
m**3 - 4
Collect the terms in -2*h + 45170 - 135501 + 45164 - h + 45167.
-3*h
Collect the terms in 257*c - 764*c + 244*c - 2*c**3 + 7*c**3 + 263*c.
5*c**3
Collect the terms in -144*x - 149*x - 34*x**2 + 442*x - 149*x.
-34*x**2
Collect the terms in -202*z + 116*z + 162*z.
76*z
Collect the terms in -251 + 3*c + 463 - 214.
3*c - 2
Collect the terms in -u + u - 153*u**3 - 403*u**3 - 1006*u**3.
-1562*u**3
Collect the terms in 13132901 + 32*v - 13132901.
32*v
Collect the terms in 8 - 4*b**2 + 305*b - 305*b - 10*b**2.
-14*b**2 + 8
Collect the terms in 529*q - 81*q + 479*q.
927*q
Collect the terms in 2257*f**3 - 4018*f**3 - 12324*f**3.
-14085*f**3
Collect the terms in -29 + 122 + 64 - 3*a**2.
-3*a**2 + 157
Collect the terms in 22*i**2 + 28*i**2 + 21*i**2 - 106*i**2 + 11*i**2.
-24*i**2
Collect the terms in -2 + 8667*w - 10617*w + 2.
-1950*w
Collect the terms in 14*z**3 + 193*z - 69*z - 78*z.
14*z**3 + 46*z
Collect the terms in 57 + 48 + b**3 - 105.
b**3
Collect the terms in -2*n + 275*n**2 - 600*n**2 + 279*n**2.
-46*n**2 - 2*n
Collect the terms in 77753*r + 77761*r + 77758*r + 77758*r - 388784*r + 77755*r.
r
Collect the terms in -1007*w**3 - 967*w**3 + 2008*w**3.
34*w**3
Collect the terms in -7*v**3 + 24*v**3 + 23*v**3 - 3*v**3 + 9*v**3.
46*v**3
Collect the terms in 6*d - 2 - 6*d + 61*d.
61*d - 2
Collect the terms in 0 + 1 + 7 - 8 + 11*l**3.
11*l**3
Collect the terms in 1456*u - 828*u - 630*u.
-2*u
Collect the terms in -190*b**2 - 6567*b**2 - 3296*b**2 - 786*b**2.
-10839*b**2
Collect the terms in 156*i**3 + 15*i**3 + 87*i**3 - 815*i**3 - 642*i**3.
-1199*i**3
Collect the terms in 531*a**2 + 4*a - 4*a - 374*a**2.
157*a**2
Collect the terms in 12*y**2 - 13*y - 23*y**2 + 5*y**2 + 4*y**2 + 0*y.
-2*y**2 - 13*y
Collect the terms in -31269*c - 5081*c - 13770*c.
-50120*c
Collect the terms in 31*h - 4 - 58*h + 30*h + 9 - 7.
3*h - 2
Collect the terms in 59146 + b**3 - 59146.
b**3
Collect the terms in -25*k - 8 - k + 25*k - k.
-2*k - 8
Collect the terms in -10*p**2 - 513*p + 13*p**3 + 513*p + 10*p**2.
13*p**3
Collect the terms in -1042*p**2 - 1033*p**2 + 2072*p**2.
-3*p**2
Collect the terms in 846*y + 1973*y + 707*y.
3526*y
Collect the terms in 4321*w + 4335*w - 8658*w - 83.
-2*w - 83
Collect the terms in -39*u - 53*u - 49*u + 175*u - 46*u.
-12*u
Collect the terms in -30*x**2 + 11*x**2 + 31 - 8 - 15*x**2.
-34*x**2 + 23
Collect the terms in -5*q - 6*q + 18*q - 8*q + 24.
-q + 24
Collect the terms in -113*y**2 - 12*y**2 - 42*y**2 - 24*y + 26*y.
-167*y**2 + 2*y
Collect the terms in -246*z**3 + 219*z**3 + 399*z**3.
372*z**3
Collect the terms in 140 - 140 - 5*w + 33*w.
28*w
Collect the terms in -360*l + 209*l + 142*l.
-9*l
Collect the terms in -1004*w**2 - 444*w + 881*w - 437*w + 3773*w**2.
2769*w**2
Collect the terms in -68*i - 48*i + 116*i - 240*i**2 - 23*i**2.
-263*i**2
Collect the terms in -3188*u + 1 + 6153*u - 1.
2965*u
Collect the terms in -302*f + 807*f - 221*f - 286*f.
-2*f
Collect the terms in -86947450 + 4*c - 3*c + 86947450 + 0*c.
c
Collect the terms in -2*n**3 + 102740*n**2 - 102740*n**2 - 3*n**3.
-5*n**3
Collect the terms in 3*g - 5*g + 5 + 2*g - 3*g**3.
-3*g**3 + 5
Collect the terms in 3 + 74246*k**3 - 74262*k**3 - 3.
-16*k**3
Collect the terms in 17*d + 8*d**3 - 495086 + 495086.
8*d**3 + 17*d
Collect the terms in 14 + 9 + 15 - 32 - 465*s.
-465*s + 6
Collect the terms in -3*m**2 - 2 - 7*m**2 - 10212*m + 11*m**2.
m**2 - 10212*m - 2
Collect the terms in -7117711 + 640*f**2 + 7117711.
640*f**2
Collect the terms in -3*w**2 - 31624*w**3 + 31465*w**3 + 3*w**2.
-159*w**3
Collect the terms in 36*h**3 - 29*h**3 + 8*h**2 - 8*h**2 + 34*h**3.
41*h**3
Collect the terms in 4 - 4 - 25362*w**3.
-25362*w**3
Collect the terms in 111*m - 19 + 133*m + 240*m + 19.
484*m
Collect the terms in -710*f**2 - 438*f**2 + 1142*f**2.
-6*f**2
Collect the terms in 9 + 23 - n**2 + 10 - 69 + 27.
-n**2
Collect the terms in -32191*n + 567*n**2 + 32191*n + 1264*n**2.
1831*n**2
Collect the terms in -154*h + 41*h + 40*h + 34*h + 36*h.
-3*h
Collect the terms in -14*q**2 - 14*q**2 - 27*q**3 + 10*q**2 + 9*q**3 + 15*q**3.
-3*q**3 - 18*q**2
Collect the terms in 16*b + 2 + 11*b + 0 + 1 + 18*b.
45*b + 3
Collect the terms in 15*j**3 + 0*j**2 + 200*j**3 - 2*j**2.
215*j**3 - 2*j**2
Collect the terms in 14*j + 6086640 - 6086640.
14*j
Collect the terms in -156*n - 852*n + 1007*n.
-n
Collect the terms in 17*f - 22*f + 6*f - 58*f.
-57*f
Collect the terms in 40*s - 6 + 35*s - 139*s + 60*s.
-4*s - 6
Collect the terms in 138*i**3 + 150*i**3 + 146*i**3 - 579*i**3 + 144*i**3.
-i**3
Collect the terms in 1320 + 3576*g - 1320 - 3556*g.
20*g
Collect the terms in -1554*l**2 - 6844*l**2 - 564*l**2.
-8962*l**2
Collect the terms in 386886196 - 386886196 - p.
-p
Collect the terms in -18*b**2 + 5*b - 3 - 32*b**2 + 0*b.
-50*b**2 + 5*b - 3
Collect the terms in -8*x**3 + 4010*x**2 + 11*x**3 - 4010*x**2 + 5 - 5.
3*x**3
Collect the terms in 4*n**3 + 2244*n**2 - 13*n**3 - 1135*n**2 - 1109*n**2.
-9*n**3
Collect the terms in 156799*k**2 + 156796*k**2 - 470392*k**2 + 156801*k**2.
4*k**2
Collect the terms in -73*p**2 - 36*p**2 + 88*p**2.
-21*p**2
Collect the terms in 19 - 89*i**3 + 24 - 72 + 29 + 83*i**3.
-6*i**3
Collect the terms in 73*g**2 - 125*g**2 + 830 + 51*g**2 - 830.
-g**2
Collect the terms in 123*g**3 - 77 - 369*g**3 + 122*g**3 + 127*g**3.
3*g**3 - 77
Collect the terms in z + 4819446362 - 4819446362.
z
Collect the terms in -80735715*j**3 + 40367854*j**3 + 40367855*j**3.
-6*j**3
Collect the terms in -2095*v**2 + 3*v - 1682*v**2 + 3788*v**2 - 3*v.
11*v**2
Collect the terms in 98*g**3 + 84*g**3 + 97*g**3 - g - 281*g**3 + g.
-2*g**3
Collect the terms in -89 + 0*l - 3*l + 5*l.
2*l - 89
Collect the terms in -12*m**3 + 40*m**3 - 115 + 101.
28*m**3 - 14
Collect the terms in -101*m - 237*m - 579*m.
-917*m
Collect the terms in 38*q + 2*q**2 + 37*q - 136*q + 33*q + 32*q.
2*q**2 + 4*q
Collect the terms in 1215*p**2 + 114*p**3 - 1215*p**2 + 24*p**3.
138*p**3
Collect the terms in 145 + 48*c - 23*c - 13*c - 19*c.
-7*c + 145
Collect the terms in -223 + 393 - 38 + 476 + i.
i + 608
Collect the terms in -2*r**2 + 0*r**2 + 3*r**2 + r**2 + 8*r**2.
10*r**2
Collect the terms in 67908*s + 2 - 22639*s - 22636*s - 22637*s.
-4*s + 2
Collect the terms in 1112*g + 1107*g - 2286*g.
-67*g
Collect the terms in 0*r**2 + 3*r - 2*r - 128*r**2 - 2*r + 48*r**2.
-80*r**2 - r
Collect the terms in 31076*k + 3*k**2 - 31076*k.
3*k**2
Collect the terms in 24635 - 12540 - 3*d**2 - 12095.
-3*d**2
Collect the terms in -9308*u - 14 + 18608*u - 9302*u - 18 + 32.
-2*u
Collect the terms in -31*r - 132*r + 166*r.
3*r
Collect the terms in -1519*l + 1521*l + 2*l**2 + 71 + 0*l**2.
2*l**2 + 2*l + 71
Collect the terms in 8 + 11 - 19 - 56047*o.
-56047*o
Collect the terms in -152*y**2 + 145*y**2 - 2706 + 2706.
-7*y**2
Collect the terms in 2906*j**2 - 2916*j**2 - 7 + 14 - 7.
-10*j**2
Collect the terms in -620*w**2 - 3 + 3 + 608*w**2.
-12*w**2
Collect the terms in 153 + 27*y**3 + 105 - 33*y**3.
-6*y**3 + 258
Collect the terms in 772*x - 1607*x + 832*x.
-3*x
Collect the terms in 30*n**3 - 155*n**3 + 31*n**3 + n - n + 84*n**3.
-10*n**3
Collect the terms in 12256885 - 12256885 - 4*z.
-4*z
Collect the terms in 2666*l**3 + l**2 + 18564*l**3 - l**2.
21230*l**3
Collect the terms in -4 + 12450*v**3 + 4 - 12470*v**3.
-20*v**3
Collect the terms in 1398*y**2 + 200 - 1401*y**2 - 200.
-3*y**2
Collect the terms in -4 - 513*c - c**2 + 3 - 2*c**2.
-3*c**2 - 513*c - 1
Collect the terms in | {
"pile_set_name": "DM Mathematics"
} |
4*v, -3*i + 0*i = 5*v - w. Suppose -102 = 5*u - i*u. List the prime factors of u.
2, 17
Let w be -11 - -5 - (1 + 0). Let b = w - -31. Suppose 3*n + 40 = 2*t, b = -4*t - 3*n + 122. What are the prime factors of t?
23
Let o = -49 + 52. Suppose 3*l = 5*f - 506, 5*f - 4*l - 511 + o = 0. What are the prime factors of f?
2, 5
Suppose -3*h + 6 = 0, -2*i - 5*h = -8 - 2. Suppose i*n = -3*n - 84. Let f = n - -30. List the prime factors of f.
2
Let a(l) = 11*l**2 + 5*l - 69. What are the prime factors of a(10)?
23, 47
Suppose 3*a + 2*z - 1113 = 0, 4*a + 4*z + 0*z = 1480. Let g be (-25)/10 + (-18)/12*3. What are the prime factors of (-2)/7 - a/g?
53
Suppose -10*o + 7*o = 72. Let l be (-6)/8*-4 + o. Let i = 34 + l. List the prime factors of i.
13
Suppose -3*y - 2 = -2*d, -4*d - 25 + 5 = 0. Let s = 7 + y. What are the prime factors of s/(-6) - 19/(-2)?
3
Let x = 7 - 4. Let j be 36 - 3*x/9. List the prime factors of (14/j)/(2/10).
2
Let d = 5564 - 3027. List the prime factors of d.
43, 59
Suppose -j + 15 = 7. List the prime factors of -3*((-7400)/15)/j.
5, 37
Suppose m + 4*i - 70 = 0, -2*m + 4*m = 3*i + 96. Suppose 0 = -2*t - y + 93, t - 10 = -4*y + m. Suppose t = 4*s - 8. What are the prime factors of s?
13
Let v(s) = -8*s - 60. List the prime factors of v(-21).
2, 3
What are the prime factors of (5 - (-104)/(-8)) + 3789?
19, 199
Let s(b) = b**2 + 4*b + 3. Let y be s(-3). Suppose y = 5*d + 4*i + 51 + 6, -3*d = -2*i + 21. What are the prime factors of (-2 + 5)*(-24)/d?
2
Let w = -1337 + 2954. What are the prime factors of w?
3, 7, 11
Let s(o) be the first derivative of -29*o**2/2 - 10*o + 38. List the prime factors of s(-5).
3, 5
Let i be (-1)/(-2) + (-9)/(-2). Suppose i*w + 3*v - 36 = 0, 5*w + v = -v + 34. What are the prime factors of (w/(-12))/((-1)/46)?
23
Suppose t - 3*s + 6 = 0, -t + 6 = 2*t + 3*s. Suppose t = -4*q + 335 - 31. What are the prime factors of q?
2, 19
Suppose 0 = 4*p + d - 20, -p + 2*d + 4 = -1. Let i(c) = c**3 - 4*c**2 + 2*c - 5. List the prime factors of i(p).
2, 3, 5
List the prime factors of 1854*(10 + (-136)/16).
3, 103
Suppose 0 = -2*u + 9 + 27. Suppose 370 = u*x - 13*x. List the prime factors of x.
2, 37
Suppose -16*y = -5963 - 549. List the prime factors of y.
11, 37
Let i(b) = -47*b + 33. List the prime factors of i(-28).
19, 71
Suppose 10*z + 8 = 38. Suppose 3*c - 330 = -z*x, 0*x + 226 = 2*x + 4*c. What are the prime factors of x?
107
Suppose 4*q = -20, -24*q = 3*l - 25*q - 656. List the prime factors of l.
7, 31
What are the prime factors of 1 + 2 - 8 - (-881)/1?
2, 3, 73
Let q = -1 - -51. List the prime factors of q.
2, 5
Suppose y - g = g - 7, g + 7 = 4*y. Suppose 79 + 26 = y*r + 4*s, -4*r + 4*s = -112. What are the prime factors of r?
31
Let j(i) = i**3 + i**2 - 1. Let m(k) = -5*k**3 - 5*k**2 - 3*k + 5. Let f(w) = 6*j(w) + m(w). Let v be f(3). Let l = 37 - v. List the prime factors of l.
11
Let y be 3 + (17 - 0/1). Suppose s = -3*s + y, 87 = 2*c + s. List the prime factors of c.
41
Let c(h) be the second derivative of 45*h**4/4 + 5*h**3/6 - 3*h**2 - 10*h. What are the prime factors of c(1)?
2, 67
Suppose 0 = 12*c - 29131 - 3377. What are the prime factors of c?
3, 7, 43
Suppose 6*t = 58 - 16. Suppose 31 = l - t. What are the prime factors of l?
2, 19
Let a = 45 + -40. Let u(z) = -z**2 - 6*z + 3. Let t be u(-6). Suppose -v - 11 = -t*v + j, 41 = a*v + 2*j. List the prime factors of v.
7
Let c(g) = g**2 - 2*g + 55. Let z be c(0). Suppose z = -3*o + 352. List the prime factors of o.
3, 11
What are the prime factors of ((-24)/16 + (-2113)/6)*-12?
2, 1061
Let f(h) = -4*h - 5. Suppose 16 = -3*z + 40. Let k = -11 + z. What are the prime factors of f(k)?
7
Suppose 33*n - 14771 = -4508. What are the prime factors of n?
311
Let y(l) = l**3 - 11*l**2 - 13*l + 15. Let z be y(12). Suppose 5*v = 4*s + 160, z = v + 4*s - 5. List the prime factors of v.
2, 7
What are the prime factors of (-2)/4 + -2 + 2562/4?
2, 11, 29
Let g(o) = o**3 - 21*o**2 - 16*o - 47. List the prime factors of g(22).
5, 17
Let z = -1178 + 1945. List the prime factors of z.
13, 59
Let f(d) = -200*d - 67. List the prime factors of f(-3).
13, 41
Suppose 0 = 3*u + b - 769, 0 = -4*u + b + 619 + 411. List the prime factors of u.
257
Let m = 9 + -14. Let j be (-9)/m*5*2. Let c = -10 + j. List the prime factors of c.
2
Let t be 2/(-1)*(-3 + 1). What are the prime factors of 56/t*5 - 1?
3, 23
Let z(t) be the first derivative of -t**3/3 - 17*t**2/2 - 11*t - 36. List the prime factors of z(-9).
61
Suppose -9*c + 10*c = 13. Suppose -v + 2*m = -0*v + c, m = 2*v + 14. Let b(a) = -a**3 - 4*a**2 + 3*a - 3. What are the prime factors of b(v)?
7
Let u(n) = 176*n - 14. List the prime factors of u(1).
2, 3
Suppose -6*k + 5399 = 2033. List the prime factors of k.
3, 11, 17
Let c = 5 - 2. Suppose -x + 5 + 7 = c*a, -x + 5*a - 20 = 0. Suppose x = -3*w + 11 - 5, -4*b - 2*w = -12. List the prime factors of b.
2
Let j(c) = 2*c - 35. Let f be j(19). Suppose 3*m + 151 + 323 = f*i, i = -3*m + 162. List the prime factors of i.
3, 53
Suppose -k = -4*h - 3723, k = -0*k - 9*h + 3736. List the prime factors of k.
3727
Let w(o) be the first derivative of -21*o**2/2 - 7*o - 10. List the prime factors of w(-4).
7, 11
Suppose -18477 = -4*k + f - 5469, -3*f = -4*k + 13008. What are the prime factors of k?
2, 3, 271
Suppose 2*x = -3 - 3. Let v be (-1)/(x*3/45). Suppose v*w = 285 + 75. List the prime factors of w.
2, 3
List the prime factors of 207/((-78)/(-126) + (-4)/14).
3, 23
Let y(q) = 30*q - 29. Let i = 93 - 86. What are the prime factors of y(i)?
181
Let z = -24 + 11. Let l = z + 18. Suppose l*m = 9*m - 100. List the prime factors of m.
5
List the prime factors of -3 - (-36)/(-24)*10508/(-6).
2, 41
Let v be 1/2 - (-14)/28. Let t be 6*(v/(-2) + 1). Suppose t*i - i = 116. List the prime factors of i.
2, 29
Let l(b) = 13*b**2 - 20*b - 3. What are the prime factors of l(12)?
3, 181
Let c be 4/(-16) + (-39)/(-12). List the prime factors of 371/c - (-4)/(-36)*-3.
2, 31
Suppose 250 = 3*c + 3*a - 1139, 2*a + 4 = 0. List the prime factors of c.
3, 5, 31
Let v = -39 + -55. What are the prime factors of (-1 - 2/(-4))*v?
47
Let x = -2 - -3. Let z be 14/5 + x/5. Suppose -z*v + 35 = p, 0 = 3*p - 4*v - 178 + 60. List the prime factors of p.
2, 19
Suppose 5*k + 0*k - 2*k = 0. Suppose 2*y = -2*f + 50, k*y - 44 = -2*f + y. What are the prime factors of f?
23
Let t(v) = -276*v - 75. List the prime factors of t(-7).
3, 619
Let d = 109 + -105. Suppose -d*m - r + 757 + 3 = 0, 382 = 2*m + r. What are the prime factors of m?
3, 7
Suppose 4*d - 3*z = -8*z + 8425, 2*d - z - 4209 = 0. List the prime factors of d.
5, 421
Let j(p) = p**3 + 15*p**2 + p + 37. Let m be j(-15). List the prime factors of m/6 + (-18)/(-54) + 331.
5, 67
Suppose -25 = -3*s + 4*s. Let f = 27 + s. List the prime factors of -2*1/f*-59.
59
Let u(f) = 3784*f + 74. What are the prime factors of u(1)?
2, 3, 643
Let f(d) = -19*d**2 + 6*d - 11. Let v(w) = -1. Let q(j) = -f(j) + 6*v(j). List the prime factors of q(2).
3, 23
Let v(t) = 2*t + 8. Let w be v(-4). Let r(p) = w + 5 + 2*p + p**3 + 8*p**2 - 3*p**2. What are the prime factors of r(-4)?
13
Suppose 5*c - x - 6440 = 0, -5*c - 5*x + 2*x = -6420. What are the prime factors of c?
3, 11, 13
Let c be 36/234 - (-108)/(-26). Let j be 16/104 - 119/13. List the prime factors of (-21)/(4 + j - c).
3, 7
Suppose 4*a - 4*d = 2812, 0 = 3*a + 3*d - 707 - 1402. What are the prime factors of a?
19, 37
Suppose 7*i - 12*i + 15 = 0. Suppose 8 = i*l + l. List the prime factors of l.
2
Suppose -10166 = 91*t - 137*t. What are the prime factors of t?
13, 17
Let z(j) = 4*j**2 + 1. Let n be z(1). Suppose n*f - 4*s - 1515 = 0, 5*s - 37 = -f + 266. List the prime factors of f.
3, 101
Suppose 5*d - 525 = q, 5*q - 391 = -7*d + 3*d. Let b = d + -66. What are the prime factors of b?
2, 19
Let z be 3 + (-3 - -1)/(-2). Suppose 8 = -4*c, z*r - 3*c = 3*r + 25. What are the prime factors of r?
19
Let p = 22 + -11. Let y = p - 8. Suppose 5*w - 56 = -u, 4*w + y*u - 10 = 26. What are the prime factors of w?
2, 3
Suppose -m + 0*m + 520 = 0. Suppose 150 + m = 5*c. Suppose 21 = 5*q - c. What are the prime factors of q?
31
Let n(u) = -9*u + 53. What are the prime factors of n(-5)?
2, 7
Let k(v) = -6*v + 83. Let a be k(14). Let h(m) = -40*m + 12. Wha | {
"pile_set_name": "DM Mathematics"
} |
(32/1911)
Simplify (v**14)**33 assuming v is positive.
v**462
Simplify p**(-5)/(p/(p**(-16)*p)) assuming p is positive.
p**(-21)
Simplify (o/(o**38*o*o))/(o*o*o**(-5/3)) assuming o is positive.
o**(-118/3)
Simplify o*o**(-6)*o/((o/(o*o**(-1))*o)/o*o)*(o**7*o)/(o*((o*(((o**2*o)/o)/o)/o)/o)/o) assuming o is positive.
o**2
Simplify v**(7/8)*v**(1/4)*v assuming v is positive.
v**(17/8)
Simplify ((b/(b**(6/7)*b))/b)/b*b*b**(9/2) assuming b is positive.
b**(37/14)
Simplify w**(9/4)*w*w**(-1/12) assuming w is positive.
w**(19/6)
Simplify (g**(-2/5))**(1/46)/((g*g/(((g/g**4)/g)/g)*g)/g**(-4)) assuming g is positive.
g**(-1381/115)
Simplify (u*u*u**(-1/5)*u)/(u*u**(-12)) assuming u is positive.
u**(69/5)
Simplify (t**5*t)**30 assuming t is positive.
t**180
Simplify ((((h*h*h**(-2)*h*h)/h*h)/h)/h)/((h*h**4)/h*h)*(h**(-4)/h)/(h/(h*h**8)*h) assuming h is positive.
h**(-3)
Simplify i**(2/13)*i*i/(i**15*i) assuming i is positive.
i**(-180/13)
Simplify w**(-18)*(w*w**(-17))/w*w assuming w is positive.
w**(-34)
Simplify (r**(1/7)*r)**(-5) assuming r is positive.
r**(-40/7)
Simplify i**(-6)*i*i**(-3)*((i*i**(-1))/i)**(-10) assuming i is positive.
i**2
Simplify ((h*(h*h**(2/7))/h)/h)**(17/3)*(h/(h**9/h))/h**3 assuming h is positive.
h**(-176/21)
Simplify (a*a**(2/15)/a*a)/a*a**(3/2)*a*(a**3/a)/a*a**(-1/7) assuming a is positive.
a**(733/210)
Simplify (q**(-2/3)/q)**(1/5)/((q**(-1/5)/q)/q**6) assuming q is positive.
q**(103/15)
Simplify b**(8/7)*b**(13/4) assuming b is positive.
b**(123/28)
Simplify (a**(1/4)/a**(-5))**(-1/3) assuming a is positive.
a**(-7/4)
Simplify (i/(i/(i/(i/(i**(-1/2)/i)*i))))**40/(i**2*i**(-2/13)/i*i*i) assuming i is positive.
i**(-1337/13)
Simplify i**(-10)/i**(-1/7) assuming i is positive.
i**(-69/7)
Simplify (a/a**(-5)*a)/(a*a**(-4))*a**(-1)/(a/(a**(-8)*a)) assuming a is positive.
a
Simplify (s*s*s*s**(1/7)*s*s**2)**(1/22) assuming s is positive.
s**(43/154)
Simplify ((f/(f*f**(-4/5)*f*f*f))/f*(f**(-3)*f)/f)/(f**1*f*f)**(-35) assuming f is positive.
f**(494/5)
Simplify (y*y/((y/y**(-2/5))/y))/(y*y**(1/17))*(y*y**(1/2))**23 assuming y is positive.
y**(5957/170)
Simplify (((q*q**(-1/3)*q)/q)/q)/(q*q**(1/17)) assuming q is positive.
q**(-71/51)
Simplify (t**(-1)/t*t*t/(t**(3/5)/t))**(-1/37) assuming t is positive.
t**(-2/185)
Simplify s**(-8/11)/s**(2/121) assuming s is positive.
s**(-90/121)
Simplify u/(u*u**(2/5)/u*u*u)*u*u*u**3/u assuming u is positive.
u**(13/5)
Simplify ((f/(f*f**(-3/2)*f))/(f/f**(-8)))/(f**(-3)/(f/(f/f**(-3/11)))) assuming f is positive.
f**(-127/22)
Simplify (b**(1/2))**32*(b**(-2/7)*b)/((b/b**(4/3))/b*b) assuming b is positive.
b**(358/21)
Simplify (p**2)**(-30) assuming p is positive.
p**(-60)
Simplify ((n*n**(-2/11)/n)/((((n**(-1/16)*n)/n)/n*n)/n))/(((n/n**(1/7))/n)/(n/(n*(n/n**(-1/3))/n))) assuming n is positive.
n**(2551/3696)
Simplify r**4*r/r**1*(r**(2/7))**(-20) assuming r is positive.
r**(-12/7)
Simplify ((h**(-1/2))**(-1/6))**2 assuming h is positive.
h**(1/6)
Simplify ((f*f**3)/f)**(-2/37) assuming f is positive.
f**(-6/37)
Simplify (w**3/(w/((w*((w*w*w**3)/w)/w)/w)*w*w))/((w*w**(-5))/w*w*w**6*w) assuming w is positive.
1
Simplify w**11/w**(11/6) assuming w is positive.
w**(55/6)
Simplify (p**(-1))**(2/119)/((p*p/(p/p**(-1/5)))/((p**(-7)*p)/p)) assuming p is positive.
p**(-4651/595)
Simplify ((f**(-1/6)/f*f*f)**(-26))**27 assuming f is positive.
f**(-585)
Simplify ((p**(-1/4))**2)**(-2/91) assuming p is positive.
p**(1/91)
Simplify h*h**15*h*(h*h**(18/7))/h assuming h is positive.
h**(137/7)
Simplify (a*a**(1/2))**(-29)*a*a/(((a/a**(6/5))/a*a)/a*a*a)*a/((a**6*a)/a) assuming a is positive.
a**(-473/10)
Simplify ((l**0)**(1/3))**(-11/2) assuming l is positive.
1
Simplify (q**3)**5 assuming q is positive.
q**15
Simplify (a*(a*a*a/(a/a**(1/3))*a)/a)**(-49) assuming a is positive.
a**(-490/3)
Simplify (h**(2/13)*h**(-1/3))**(-8) assuming h is positive.
h**(56/39)
Simplify (i**(-1)*i**3)**(-29) assuming i is positive.
i**(-58)
Simplify (m**(-1/4))**(-9/7)*(m*m/(m*m*((m**(-2)/m*m)/m)/m*m)*m)**48 assuming m is positive.
m**(5385/28)
Simplify g**7/g**(-4)*((g*g**(-3/7)*g)/g)/(g*g**2*g*g) assuming g is positive.
g**(46/7)
Simplify (f/(f*f*f**(-1/5)*f)*f**(-13))**(-19) assuming f is positive.
f**(1406/5)
Simplify ((p*p/p**(2/11))/((p/p**(-7))/p))**(-18) assuming p is positive.
p**(1026/11)
Simplify (o**(-2))**7/(o**(2/13)/(o*o/o**(2/7))) assuming o is positive.
o**(-1132/91)
Simplify ((r**8)**(-1))**36 assuming r is positive.
r**(-288)
Simplify v/(v*v**(9/2))*v*v*(((v*v**(3/22))/v*v)/v)/v assuming v is positive.
v**(-37/11)
Simplify (y**40*y)/y*y*y/y**(-2/19) assuming y is positive.
y**(800/19)
Simplify (h**(1/3)*h)/((h**(-3)/h*h)/h*h) assuming h is positive.
h**(13/3)
Simplify d**(-15/4)/(d*d**(3/10)/d) assuming d is positive.
d**(-81/20)
Simplify (b*b**0)/(b**(1/10)/b)*b/(b**(-9)*b)*b**(2/5)/b assuming b is positive.
b**(103/10)
Simplify (z*z**13)/z*z**(-18) assuming z is positive.
z**(-5)
Simplify z**(-3)*z/(z*(z**(1/9)/z)/z)*((z/(z**2/z*z))/z)/(z*z**4*z) assuming z is positive.
z**(-82/9)
Simplify m**(5/13)*m/(m**(-19/5)/m*m)*m assuming m is positive.
m**(402/65)
Simplify (l/l**(1/2))**(2/9) assuming l is positive.
l**(1/9)
Simplify (v/(v**(-5)*v)*v*v**(2/15))**(-2/43) assuming v is positive.
v**(-184/645)
Simplify (g**(1/4))**(-50) assuming g is positive.
g**(-25/2)
Simplify (r/(r*r**(2/3)*r))**(2/9)*r/(r**(-1/8)*r)*r**(-1/5) assuming r is positive.
r**(-481/1080)
Simplify ((w/(w/w**(-4)))/w*w)**(2/103) assuming w is positive.
w**(-8/103)
Simplify ((f**(-1/2))**(1/13))**5 assuming f is positive.
f**(-5/26)
Simplify ((d*d/d**(2/7))/d)**(-1)/((d/(d**(-9)/d)*d)/d*d*d/d**10) assuming d is positive.
d**(-26/7)
Simplify (((a*a**(-9)*a*a)/a)/a**3)/((a**(-1/8)/a)/((a/a**(-4)*a)/a)) assuming a is positive.
a**(-31/8)
Simplify (u*u**(1/6))**(-3) assuming u is positive.
u**(-7/2)
Simplify (c/(c**16*c)*c/(c/(c**8*c)))**32 assuming c is positive.
c**(-224)
Simplify (z**(2/9))**(-5/7) assuming z is positive.
z**(-10/63)
Simplify (s**(-2/5))**(22/9)*(s**(-1)*s)**(-2/41) assuming s is positive.
s**(-44/45)
Simplify (r**(-3))**(-11/2) assuming r is positive.
r**(33/2)
Simplify (k/(k*k/((((k/(k*k**(3/5)*k))/k)/k)/k)*k*k))/(k**(-2)*k*k)*k**(-3/5)/((k*k/(k*k**6/k*k)*k)/k*k) assuming k is positive.
k**(-21/5)
Simplify v**16*v*(v/(v*v**12))/v assuming v is positive.
v**4
Simplify x**(-11)*x*x*x/((x*x*x**(3/8)*x)/x) assuming x is positive.
x**(-83/8)
Simplify (v*v**(1/7)*v)**(-15/2) assuming v is positive.
v**(-225/14)
Simplify ((c**(-7)*c)/c)/c**(-3)*(c/c**1)**(36/5) assuming c is positive.
c**(-4)
Simplify (g*(g/(g/(g/(g**2*g))*g))/g*g*g*g)**14/((g**2*g)/g*g**(-1/12)) assuming g is positive.
g**(-23/12)
Simplify (c**(-2/3)*c*c)**8/(c/(c/(c*c/(c*c*(c*c**(-4))/c*c)))*c*c**(2/5)) assuming c is positive.
c**(94/15)
Simplify ((o/o**(-1/5))**49)**(-48) assuming o is positive.
o**(-14112/5)
Simplify ((y**0/y)/((y/(y*y/(y/(y*(y*y/(y*y/(y*y/(y/(y/y**(-1))))*y)*y)/y*y*y)*y)))/y))/(y*y**(-1/4)*y*(y/y**(-1/9)*y)/y) assuming y is positive.
y**(41/36)
Simplify v*v/v**(-5)*v**(-5/11) assuming v is positive.
v**(72/11)
Simplify ((u*u*(u/(u*u**10))/u)/u)**(3/35) assuming u is positive.
u**(-6/7)
Simplify m/(m*m**(6/11)*m)*m**5 assuming m is positive.
m**(38/11)
Simplify m**37*m/(m/(m*m**(-8/7)*m)*m)*m assuming m is positive.
m**(265/7)
Simplify (g*g**(-1/3))**(-25/3)*g/((g*g**(-3/7)/g)/g)*g*g**(5/4) assuming g is positive.
g**(-221/252)
Simplify n*n/n**14*n*n/(n**(3/7)/n) assuming n is positive.
n**(-66/7)
Simplify ((t/t**(-3/10))/t*(t*t/(t*t**(-6))*t*t)/t)/((t*((t*t**(-5))/t)/t)/t**(1/5)) assuming t is positive.
t**(27/2)
Simplify (((s**(-5)/s)/s*s)/s*s)/s**(-6)*s*s**(-1)/s*s**(-8) assuming s is positive.
s**(-9)
Simplify (m**0/m)**(-50)*(m/(m/(m**(2/7)/m)))**(-45) assuming m is positive.
m**(575/7)
Simplify (i**(-5)*i**(2/3))**(8/5) assuming i is positive.
i**(-104/15)
Simplify (m**2)**(-2/3)/(m**0)**15 assuming m is positive.
m**(-4/3)
Simplify (d**2*d)**(-8/3)*d**(-11)*d*d*d/((d*d/(d/d**(1/6)))/d)*d*d*d assuming d is positive.
d**(-79/6)
Simplify (((a/(a*a**(4/5)*a))/a)/a*a/(a*a**(-6)))/(a**(2/7))**37 assuming a is positive.
a**(-293/35)
Simplify ((l**(2/21)/l)**(-9))**33 assuming l is positive.
l**(1881/7)
Simplify (p/(p**(1/10)/p))**(2/ | {
"pile_set_name": "DM Mathematics"
} |
-10876, -18748, -29724?
-44320
What comes next: 79, 177, 333, 553, 843, 1209?
1657
What is the next term in 6, -13, -26, -27, -10, 31, 102?
209
What is the next term in -26124, -26206, -26342, -26532?
-26776
What is next in -60, -114, -166, -216, -264, -310?
-354
What comes next: 2641, 5325, 8107, 11035, 14157, 17521?
21175
What is the next term in 6629, 6627, 6625, 6623, 6621, 6619?
6617
What comes next: 691, 761, 867, 1009, 1187, 1401?
1651
What comes next: -4271, -8500, -12685, -16826, -20923, -24976?
-28985
What is the next term in -772658, -1545325, -2317996, -3090671, -3863350, -4636033, -5408720?
-6181411
What is next in -361, -1539, -3503, -6253?
-9789
What is next in 59478, 118970, 178458, 237942, 297422, 356898?
416370
What is next in -668, -588, -488, -356, -180, 52?
352
What comes next: -47, -256, -827, -1958, -3847, -6692?
-10691
What comes next: 1143, 823, 289, -459, -1421?
-2597
What comes next: -23, -242, -701, -1442, -2507, -3938, -5777, -8066?
-10847
What is the next term in -961, -3400, -5849, -8314, -10801, -13316, -15865, -18454?
-21089
What is the next term in 33056, 33062, 33064, 33062, 33056, 33046, 33032?
33014
What is the next term in -5739, -22998, -51769, -92046, -143823?
-207094
What is the next term in 388584, 388583, 388582?
388581
What is the next term in -153, -752, -1761, -3186, -5033, -7308, -10017?
-13166
What comes next: 77, 679, 2311, 5489, 10729, 18547, 29459?
43981
What comes next: 62, 264, 466?
668
What is next in 521474, 521472, 521470, 521468, 521466, 521464?
521462
What is next in -1706, -1702, -1684, -1646, -1582, -1486, -1352, -1174?
-946
What is next in 106379, 106424, 106479, 106550, 106643, 106764, 106919, 107114?
107355
What comes next: 722, 833, 942, 1049, 1154, 1257?
1358
What is the next term in 324913, 649819, 974725, 1299631, 1624537, 1949443?
2274349
What is next in -20880, -41502, -62134, -82782, -103452, -124150, -144882, -165654?
-186472
What is next in 26, 241, 834, 1997, 3922, 6801, 10826?
16189
What is next in -51, -88, -105, -96, -55?
24
What comes next: 212, 833, 1868, 3317, 5180?
7457
What is next in -1357, -1328, -1225, -1012, -653?
-112
What comes next: 6469, 25841, 58103, 103237, 161225, 232049, 315691?
412133
What is next in -679, -667, -647, -619, -583, -539?
-487
What comes next: 234730, 234731, 234732, 234733, 234734, 234735?
234736
What is the next term in 148812, 297628, 446444, 595260, 744076, 892892?
1041708
What is the next term in 2714, 3218, 4044, 5180, 6614, 8334, 10328?
12584
What is the next term in -1045, -1174, -1389, -1690, -2077?
-2550
What is the next term in -388, -292, -126, 116, 440, 852?
1358
What is the next term in 257, -663, -1587, -2515, -3447?
-4383
What comes next: -2268, -2270, -2274, -2280, -2288?
-2298
What is next in -200258, -400515, -600768, -801017?
-1001262
What is the next term in -293, -917, -1881, -3179, -4805, -6753?
-9017
What is the next term in -443726, -443724, -443722, -443720, -443718, -443716?
-443714
What is next in -83, -177, -331, -569, -915, -1393, -2027?
-2841
What is next in -212210, -424417, -636624, -848831?
-1061038
What is next in -17346, -69405, -156162, -277611, -433746?
-624561
What is the next term in -10637, -11222, -11807, -12392, -12977?
-13562
What is next in 38716, 38717, 38718?
38719
What is next in 70, 127, 184, 241, 298?
355
What is the next term in -1426710, -1426711, -1426712, -1426713, -1426714, -1426715?
-1426716
What is next in -1133, -4202, -9309, -16448, -25613?
-36798
What is the next term in 92, 128, 214, 374, 632, 1012, 1538, 2234?
3124
What is next in -220, -1575, -5256, -12427, -24252, -41895, -66520, -99291?
-141372
What is the next term in 2451, 9809, 22057, 39183, 61175?
88021
What is next in -136, -165, -234, -343?
-492
What comes next: -15416, -30826, -46236, -61646, -77056, -92466?
-107876
What is the next term in 419, 811, 1203, 1595?
1987
What is the next term in 383, 502, 621, 740, 859, 978?
1097
What comes next: -854, -1162, -1676, -2396?
-3322
What comes next: 40902, 81794, 122686?
163578
What is next in 20, -133, -438, -877, -1432, -2085, -2818, -3613?
-4452
What is the next term in -155, -76, 37, 190, 389?
640
What is next in -536, 1881, 5910, 11551?
18804
What is next in 117, 34, -49, -132, -215?
-298
What comes next: -4915, -19643, -44191, -78559, -122747, -176755, -240583?
-314231
What is next in 12050, 12084, 12118, 12152, 12186?
12220
What is next in 10444, 10441, 10438, 10435, 10432?
10429
What comes next: 16128, 32262, 48396, 64530?
80664
What is the next term in -21803, -21877, -22075, -22457, -23083?
-24013
What comes next: -147, -346, -559, -792, -1051, -1342, -1671, -2044?
-2467
What is the next term in 1689, 6505, 14531, 25767, 40213, 57869, 78735?
102811
What is the next term in 129, 88, 51, 18?
-11
What comes next: 1292, 1710, 2406, 3380?
4632
What is the next term in 341902, 683797, 1025692, 1367587, 1709482?
2051377
What is the next term in 10041, 40172, 90391, 160698, 251093, 361576?
492147
What is next in 62604, 62608, 62612, 62616, 62620, 62624?
62628
What comes next: -5849, -5842, -5829, -5810?
-5785
What comes next: 1793, 3185, 4543, 5861, 7133, 8353, 9515?
10613
What is the next term in 2609, 5731, 8853?
11975
What comes next: -481, -950, -1415, -1876, -2333, -2786, -3235?
-3680
What is next in -30262, -30275, -30288, -30301?
-30314
What comes next: -111, 68, 247, 426, 605?
784
What is the next term in 13957, 13897, 13837, 13777, 13717, 13657?
13597
What comes next: -16195, -64739, -145631, -258865, -404435, -582335, -792559?
-1035101
What is the next term in -308, -327, -338, -341, -336?
-323
What comes next: -36574, -36572, -36570, -36568, -36566, -36564?
-36562
What comes next: -119478, -119470, -119458, -119442, -119422, -119398, -119370?
-119338
What comes next: 4697, 18860, 42473, 75536, 118049, 170012, 231425?
302288
What is next in -7, -742, -1971, -3700, -5935, -8682?
-11947
What is next in 203, 358, 617, 980, 1447, 2018, 2693?
3472
What is next in 2, 94, 250, 476, 778, 1162?
1634
What is next in -98, -712, -1728, -3146?
-4966
What is the next term in -2501, -5003, -7505, -10007, -12509?
-15011
What is next in 1204, 4865, 10966, 19507, 30488, 43909?
59770
What comes next: 661, 772, 969, 1294, 1789, 2496, 3457?
4714
What is the next term in 5958, 11941, 17946, 23979, 30046, 36153?
42306
What comes next: 456, 3710, 12542, 29742, 58100, 100406?
159450
What is the next term in -1725, -6890, -15469, -27438, -42773, -61450, -83445?
-108734
What is next in -3364, -6693, -10022, -13351?
-16680
What comes next: -277, -573, -889, -1225, -1581, -1957?
-2353
What comes next: 13337, 13143, 12949, 12755?
12561
What is the next term in 1080, 4344, 9792, 17418, 27216, 39180, 53304?
69582
What comes next: -416, -1753, -4018, -7211, -11332, -16381, -22358?
-29263
What comes next: 31497, 62997, 94497, 125997?
157497
What is the next term in -21628, -43255, -64882?
-86509
What is next in 47, 356, 1193, 2822, 5507, 9512, 15101, 22538?
32087
What is next in -262, -475, -1046, -2155, -3982?
-6707
What comes next: 62473, 124946, 187419, 249892, 312365?
374838
What is next in 234, 921, 2062, 3657, 5706, 8209, 11166?
14577
What is the next term in 1191, 1311, 1441, 1587, 1755, 1951?
2181
What comes next: -95, -350, -769, -1352, -2099, -3010, -4085?
-5324
What comes next: -185, -237, -267, -275?
-261
What comes next: 13665, 54670, 123025, 218736, 341809, 492250, 670065, 875260?
1107841
What comes next: 7024, 7071, 7118?
7165
What is next in 763, 1611, 2559, 3607, 4755, 6003?
7351
What is the next term in -18998, -75909, -170752, -303521, -474210?
-682813
What comes next: -125, -560, -1645, -3704, -7061, -12040, -18965?
-28160
What comes next: -320, -1318, -2990, -5342, -8380?
-12110
What is the next term in -5403, -10844, -16279, -21708?
-27131
What comes next: 5442, 21842, 49176, 87444, 136646, 196782?
267852
What comes next: 16210, 16174, 16140, 16108, 16078, 16050?
16024
What comes next: -1077, -1176, -1275, -1374?
-1473
What is next in -2486, -2490, -2494, -2498, -2502?
-2506
What is the next term in -553096, -1106182, -1659268, -2212354, -2765440?
-3318526
What comes next: 11749, 23501, 35253, 47005?
58757
What is the next term in -494912, -494905, -494898?
-494891
What | {
"pile_set_name": "DM Mathematics"
} |
t o(n) = -6*n - 2. What are the prime factors of o(z)?
2, 5
Let u be ((1 + -10)/3)/(-1). Suppose 0 = -5*y - 3*b - b + u, -12 = -y + 3*b. Let f = y + 1. What are the prime factors of f?
2
Let h be 2/(2*(-1 - -2)). Suppose 5*t = 3*f + 12, 2*f + h = 2*t - t. List the prime factors of t.
3
Let k(j) = 10*j**2 + 4*j - 2. Let d(w) = 5*w**2 + 2*w - 1. Let i(p) = 11*d(p) - 6*k(p). Let x be i(1). Let r = -4 - x. What are the prime factors of r?
2
List the prime factors of -3*1 - -12*1.
3
Let p be 231/15 + (-6)/15. Let r = -11 + p. Suppose r*i - i - 36 = 0. What are the prime factors of i?
2, 3
Let s(r) = r - 4. Let m be s(4). Suppose -4 - 6 = 2*u, -2*x + u + 9 = m. Suppose 13 = 2*y - 3*k, -2*y - y = -x*k - 22. What are the prime factors of y?
2
Let d be (-10)/(-5) - 4/2. Suppose d = 3*m - 7 - 5. Suppose -9*x - 5*z + 75 = -m*x, -3*x + 13 = -5*z. What are the prime factors of x?
11
Let p(v) = 7*v**2 + 7*v + 5. What are the prime factors of p(-4)?
89
Suppose 4*z + 4 = 0, -2*z - 15 = j + 3*z. Let k be 1*20*4/j. Let q = k - -19. List the prime factors of q.
11
Suppose 2*k + 7*r = 2*r + 168, 3*k + r - 265 = 0. List the prime factors of k.
89
Let g(n) = n**3 + 2*n**2 - 2*n - 3. Let q be g(-2). Suppose s = q + 4. Suppose x + 4*r - 19 = 0, -x + r + r - s = 0. What are the prime factors of x?
3
Suppose 15 + 21 = 4*k. What are the prime factors of k?
3
Let q be (-8)/(-2) - 3 - -24. Suppose -50 = -30*m + q*m. List the prime factors of m.
2, 5
Suppose -14*x = -20*x + 1734. List the prime factors of x.
17
Suppose -i + 1 = -4. What are the prime factors of i?
5
Suppose 5*f = -o - 4*o + 20, -2*o + 3*f = -3. Suppose 2*w - 4*l - 36 = 0, 4*w - 2*l - 90 = -o*l. List the prime factors of w.
2, 11
Let t = 2 - -3. List the prime factors of t.
5
Let s(z) = -3*z - 2. Let y = 8 + -10. Let u be s(y). Suppose -5 = l + w - 23, 2*l - u*w - 6 = 0. List the prime factors of l.
13
List the prime factors of 40/(-15)*(-27 + 0).
2, 3
Suppose -2*p + 4 = -p, -p = -4*v + 12. Suppose 16 - v = -2*a. Let k = -4 - a. List the prime factors of k.
2
Suppose -8 = b - k, 11 + 32 = -5*b + 2*k. Let u = b + 15. Suppose 61 = 5*d - 2*n + u*n, 4*d - 4*n = 20. List the prime factors of d.
3
Suppose -197 = -5*m + u, -5*m - 19 = -3*u - 220. List the prime factors of m.
3, 13
Suppose -q + 2*p = -109, -211 - 264 = -5*q - 4*p. What are the prime factors of q?
3, 11
Let y = -63 + 305. What are the prime factors of y?
2, 11
Suppose 0 = 2*o - 19 + 1. Let x = 1 + o. Suppose 5*l - 51 = -2*m, -4*m - x = -2. List the prime factors of l.
11
Let t be (-1 + -4)*24/(-8). Suppose -3*a + 5 = -s + 2, a - 5*s = t. Suppose 3*w + 24 = 5*c - a*w, 5*w = 5*c - 30. List the prime factors of c.
3
Suppose -5*g = -8*g. Suppose 9 = u - g. What are the prime factors of u?
3
Let n = 299 + -75. List the prime factors of n.
2, 7
Let t(g) = -3*g - 9. Let y be t(-4). Suppose b + b - 24 = 0. Suppose y*x + 0*x = b. List the prime factors of x.
2
Suppose 0 = -t + 31 - 6. Let r = t - 41. Let b = r - -28. What are the prime factors of b?
2, 3
Let k(t) = -16*t - 1. Let z be k(-1). Let a = 32 - z. Let w = a - 8. What are the prime factors of w?
3
Let g = 29 + 16. What are the prime factors of g?
3, 5
Let v(b) be the second derivative of -b**3/6 + 2*b**2 - 3*b. Let t be v(7). What are the prime factors of ((-1)/t)/(1/15)?
5
Suppose 12 = 5*m + 2. Let g be 6/18 + (-44)/(-12). Suppose -m*d + 3*z = 3, -2*d + z = -3 - g. List the prime factors of d.
2, 3
Let h = 12 + -7. Suppose -2*w - 15 = -0*w + 3*d, -h*w - 2*d - 10 = 0. Let c = w + 6. What are the prime factors of c?
2, 3
Let f(r) = 13*r. Let a(m) = -14*m - 1. Let t(u) = -2*a(u) - 3*f(u). Let l be t(-3). Let n = l + -19. What are the prime factors of n?
2
Suppose -g - 8 = 4*x - 0, -6 = 2*x. Suppose 0 = 2*p - 5*b + 2*b - 35, 2*p - 14 = -g*b. Suppose -w = -6 - p. List the prime factors of w.
19
List the prime factors of (-10 + 45)*((-8)/(-5) + -1).
3, 7
Let h be (-2)/(-5) - (-65)/25. Suppose 5*c = 3*m - 2*m + 16, -h*c - 21 = -4*m. What are the prime factors of m?
3
Let o be -2 - (-1 - -4 - 1). Let f(r) be the second derivative of -r**4/12 - 7*r**3/6 - 3*r**2/2 + r. List the prime factors of f(o).
3
Let y(p) = -2*p**3 - 4*p**2 - 15*p + 8. What are the prime factors of y(-4)?
2, 3, 11
Suppose 2*m + 5*o = m + 331, 3*m - 925 = 2*o. What are the prime factors of m?
311
Let f(s) = -s + 1. Let p be f(0). Let y = 21 - p. What are the prime factors of y?
2, 5
Let v(d) = -7*d + 11. Let n(g) = -6*g + 10. Let q(y) = -6*n(y) + 5*v(y). Let t be q(6). Let j(r) = 6*r. List the prime factors of j(t).
2, 3
Let k be 90/8 - 2/8. Suppose -4*c = -k + 43. List the prime factors of (c/(-24))/(2/18).
3
Suppose 0*z + 14 = -z. Let t = -3 - z. What are the prime factors of t?
11
Suppose -3*g + 3*h = -24, 3*h - 6*h - 27 = -4*g. Suppose -g*i = -z - 95, 34 = 4*i + 4*z - 98. What are the prime factors of i?
2
Suppose -2*m - 10 = 0, 3*m + 15 = -2*o + 6*o. Let u = 21 + -6. Let i = u + o. List the prime factors of i.
3, 5
Suppose 2*k - 4 = k. Suppose 0 = 5*d - 4*t - 48, 5*t = -k*d + 3*t + 28. List the prime factors of 0 + 1 + d - -1.
2, 5
List the prime factors of 3664/40 - (-2)/5.
2, 23
Suppose -244 = -5*o + o + c, 2*o - 3*c = 122. What are the prime factors of 1/(-6) - o/(-6)?
2, 5
Suppose 8*u = 3*u + 10. Suppose -4*w + 26 = -u*w. List the prime factors of w.
13
Suppose w + 10 - 90 = 0. List the prime factors of w.
2, 5
Suppose -7*n + 529 = -304. What are the prime factors of n?
7, 17
Suppose -3*o = -3 - 3. Suppose 3*l = o*l + 6. Suppose -3*a = -n + l, n + 5*a - 2*a - 6 = 0. List the prime factors of n.
2, 3
Let k = -26 - 160. List the prime factors of k/(-26) + 24/(-156).
7
Suppose l - 2*x = 36, 4*x + 109 = 4*l + 3*x. Suppose 0 = -2*r + 4*r - l. What are the prime factors of r?
13
What are the prime factors of ((-26)/(-91) + 1695/(-28))*-4?
241
Let b(i) = i**2 + 3*i + 1. Let t be b(-2). Let g be 1/((t/2)/(-1)). Suppose 11 = g*f - 23. What are the prime factors of f?
17
Let i(j) be the first derivative of 4*j + 1/4*j**4 + 0*j**2 + 4/3*j**3 + 1. What are the prime factors of i(-4)?
2
Let a(j) = 5*j**2 - 2*j**2 + 10*j + 6*j**2 - j**3 + 13. What are the prime factors of a(10)?
13
Suppose -36 = 4*h - 148. List the prime factors of h.
2, 7
Let g(l) = 10*l**2 - l. Suppose -w - 2*w + 3 = 0. Let n be g(w). Suppose -31 = -4*u + n. What are the prime factors of u?
2, 5
Suppose 0 = -2*f - 4*t - 2 - 14, 5*f - 25 = 3*t. Suppose f*x + 2*x = 16. What are the prime factors of x?
2
Let a(v) = -3 + 6*v**2 + 3*v**3 - 2*v**3 + 9. Let p be a(-6). What are the prime factors of (2/1)/(p/21)?
7
Suppose 0 = -4*d + d + 183. List the prime factors of d.
61
Let y = -49 - -115. List the prime factors of y.
2, 3, 11
Let n(t) = -t**3 - t**2 - t + 92. Let f be n(0). Suppose 5*k + 0*k + 2*a - f = 0, -5*k + 88 = 3*a. What are the prime factors of (-8)/k*(-30 + 0)?
2, 3
Let r(q) = -q**2 - 16*q - 2. What are the prime factors of r(-14)?
2, 13
Suppose 5*w - 21 - 109 = 0. List the prime factors of w.
2, 13
Let p be 2 + 1 + -2 + 3. What are the prime factors of ((-3)/5)/(p/(-20))?
3
Let q = -5 - -7. Suppose 0 = n + q*x - 2, 2*x + 6 - 2 = 2*n. What are the prime factors of n?
2
Let h(r) = r + 5. Let v be h(0). Let z(b) = -b**3 + 6*b**2 - 3*b - 4. List the prime factors of z(v).
2, 3
Let m(j) = -2*j + 1. Let l be m(-2). Suppose l*h - 53 = 17. What are the prime factors of h?
2, 7
Let a = 14 - 39. Let n be (-10)/a - (-16)/10. Suppose -n*u - 9 - 7 = -z, -u - 62 = -5*z. What are the prime factors of z?
2, 3
Suppose -3*v = -5*n + 5 - 1, 2*v = 5*n - 1. Let z be 0/n + -1 + 1. Suppose -5*c + 0*c + 3*o + 12 = z, c = o + 2. What are the prime factors of c?
3
Suppose -3*n - 2*n = 0. Suppose 2*o - 2 - 8 = n. Suppose 0 = -5*a + x + 43, o = -a + 2*a + x. What are the prime factors of a?
2
Let i = 6 - 1. Suppose 2*p - 3*p + 3 = d, i*d = -p + 11. Let o = p - -13. What are the prime factors of o?
2, 7
Let a(d) be the first derivative of d**4/4 + d**3 - 3*d**2 - d + 2. List the prime factors of a(-4).
7
Suppose 0*h = -5*h + 25. Let i be (h + -1)*(4 + -1). Suppose -3*q - i = -4*q. List the prime factors of q.
2, 3
Suppose 4*j + 17 = 913. List the prime factors of j.
2, 7
Let g = 301 - 171. List the prime factors of g.
2, 5, 13
Suppose -2*l + 5*l = -4*r + 8, r = -2*l - 3. Let d(v) = -v**3 | {
"pile_set_name": "DM Mathematics"
} |
= 0. Let f = m - -75. What is f rounded to the nearest ten?
30
Let h = 952.0931 - 953.1. Let k = 0.1701 - h. What is k rounded to 1 decimal place?
1.2
Let l(i) = -956*i**2 - 2*i - 16. Let r be l(-13). Let s = r - -851554. Round s to the nearest 100000.
700000
Let g = -167.234 + 167. Let t = g + -2.056. Let b = t + 0.71. What is b rounded to one decimal place?
-1.6
Suppose 19 = -2*v + 7*v + n, 4*v - n - 8 = 0. Suppose -3*w - 742027 = 4*y + 6537988, 0 = -v*y - 5*w - 5460025. What is y rounded to the nearest 1000000?
-2000000
Let r(w) = 1002*w**2 + 13*w - 14. Let d be r(-26). What is d rounded to the nearest one hundred thousand?
700000
Let a = -0.027298995 - -0.0273. Round a to 7 decimal places.
0.000001
Let s(y) = 7*y + 0*y + 24 - 4*y + 8*y + 585*y**2. Let a be s(14). Let g = a - 202838. Round g to the nearest ten thousand.
-90000
Let l = 532.973 - -15.867. Let h = -558 + l. Let k = h + 9. Round k to 1 decimal place.
-0.2
Suppose -56*y + 164190 = 9*y. What is y rounded to the nearest 1000?
3000
Suppose 0 = -2*s - 91 - 109. Let w = s + 170. What is w rounded to the nearest 100?
100
Let t = -75 + 5. Let a be (-240)/t + (-6)/14. Let n be (-2589)/a + 1 + 2. Round n to the nearest 100.
-900
Let s = 4 - 3. Let x be (s - -1549)*(-680)/(-17). Round x to the nearest 10000.
60000
Let u = 101.28 - 456.8. Let v = u - -362. Let k = v + -0.68. What is k rounded to 0 decimal places?
6
Let q = -3.788 + 3.9. Let t = 0.11200079 - q. Round t to seven dps.
0.0000008
Let r = 172 + -171.9978. Round r to three dps.
0.002
Let o(m) = -2484*m**3 - 2*m**2 + 2*m. Suppose -2*t + 3*t - 2*h - 52 = 0, 4*t - 5*h = 211. Let l be 1/(-2) + t/12. Let f be o(l). Round f to the nearest 10000.
-160000
Let v = -87.79 - -88. Let i = v - 0.2214. Round i to 3 dps.
-0.011
Let s = -2035.49727677 + 2153.8527767. Let r = s - 128.3554999. Let b = 10 + r. What is b rounded to seven dps?
0
Let a = 80615.70094 + -80608.1. Let x = a - 7.6. Round x to 4 dps.
0.0009
Let y = 4076 - 4075.9993151. Round y to 5 decimal places.
0.00068
Let v = 0.028 + -0.01. Let r = 0.0295 - v. Round r to three dps.
0.012
Let p = -9.1823 + 0.1123. Let v = p + 9. Let l = v - -0.069992. Round l to five decimal places.
-0.00001
Let d = 0.34 - 0.47. Let s = d + -5.37. Let a = s + 5.50000122. Round a to 7 dps.
0.0000012
Suppose -n = -4*a + 4, -a - a - 2*n = -2. Let m be a/4 - (-352786)/56. Round m to the nearest 1000.
6000
Suppose 2*i = -2*v + 68, 5*i + 134 = 2*v + v. Let a = 50 + v. Suppose 5*c = -277 - a. Round c to the nearest ten.
-70
Let w = 246.1005 - 246. Round w to two dps.
0.1
Let f be -2*((-3)/(-1))/(-6). Suppose f + 3 = -2*y, 163450 = 2*k - 3*y. Suppose -4*l - p - 134273 = k, -4*l - 5*p = 215975. Round l to the nearest ten thousand.
-50000
Let u be (-1)/(-1 - (-12)/16). Suppose -4*g = -u*x - 9200012, -2*g + x + 86449 = -4513554. Round g to the nearest one hundred thousand.
2300000
Let x = 3 + 0. Let y be 34/(-6) - -5 - 28/(-6). Suppose 0 = -2*f, r - 15800 = x*r + y*f. Round r to the nearest one thousand.
-8000
Let n = 40 + -40.17. Let y = 70.47 + -71. Let v = n - y. Round v to 1 decimal place.
0.4
Let m = -125 + 297. Let b = m - 102. Let v = b + -68.76. What is v rounded to one decimal place?
1.2
Let c = 149.976702 - 10.974482. Let n = -139 + c. What is n rounded to four dps?
0.0022
Let r = -3531722 - -5381722. What is r rounded to the nearest 100000?
1900000
Let v = 159844930940.982519011 - 159844930849. Let m = v + 0.017679989. Let o = 92 - m. Round o to five decimal places.
-0.0002
Let m(t) = -2*t**2 - t. Let l be m(2). Let b = l - -12. Suppose -5*a + 71000010 = 3*v + b*v, 0 = -5*a + v + 70999998. What is a rounded to the nearest 1000000?
14000000
Let m = -7 - -7.0001425. Round m to 5 decimal places.
0.00014
Suppose -27 = -c + 2*o, 0*c + 3*o + 28 = c. Let b be 15/c + (-8)/(-20). Round b to one decimal place.
1
Let h = 405.09944 + -404.9. Let a = -81 + 81.2. Let n = a - h. Round n to four dps.
0.0006
Let q(h) = 1358*h + 6. Suppose 0 = -5*l + j + 12, -7*l + 2*j + 9 = -2*l. Let f be q(l). What is f rounded to the nearest one thousand?
4000
Let i = -1329 + 1328.997228. What is i rounded to four decimal places?
-0.0028
Suppose 11*i = 9*i + 4. Suppose c + p = 15, i*c + 2*c + 3*p = 60. Suppose -24000 = c*a - 13*a. Round a to the nearest 10000.
-10000
Let c = 15.300000619 - 15.3. Round c to 7 dps.
0.0000006
Let t(c) = 396*c**2 - 24*c + 8. Let b be (0 + 0)*8/(-24). Let o = b - -16. Let g be t(o). What is g rounded to the nearest 10000?
100000
Let a = 2335 + -8675. Round a to the nearest 1000.
-6000
Let s = -6.24 - 1.66. Round s to 0 decimal places.
-8
Let m = -2 - -5. Let i be m/1 - 0 - -379997. Round i to the nearest 100000.
400000
Let m = 0.49 - 0.5249. Let f = 321.0349 + m. Let l = f - 319.13. What is l rounded to one dp?
1.9
Let t = 3922 + -3939.801. Let r = t - -17.7. Let b = -0.0951 - r. What is b rounded to 3 decimal places?
0.006
Let h = 199 + -199.174. What is h rounded to 2 decimal places?
-0.17
Let o = 1452.9411 - 1453. What is o rounded to two dps?
-0.06
Let n = -52.096 + 1.446. What is n rounded to the nearest 10?
-50
Let m = 2049 - 2038.91. Let c = 0.09 - m. Let f = 10.00000024 + c. What is f rounded to 7 decimal places?
0.0000002
Suppose -6*a + a + 29587 = 4*i, -2*i - 3*a = -14791. Let k = i - 15303. What is k rounded to the nearest one thousand?
-8000
Let x = 218 - 218.00357. Round x to 4 decimal places.
-0.0036
Let u = -1212 + 1211.99107. Round u to two dps.
-0.01
Let c be 54/21 - 21/(-49). Suppose -5*k + 4*x + 4 = -c, 0 = x - 2. Suppose 811237 + 388763 = -k*d. What is d rounded to the nearest 100000?
-400000
Let u = 107.2 + -107.199997907. What is u rounded to six dps?
0.000002
Let q be 1 + (-4 - -2) - -3. Let c be (1/q)/(7/280). Suppose -c*g = -21*g - 2500000. Round g to the nearest one million.
-3000000
Let r(q) = 23999992*q. Let j be r(1). Suppose 5*b - 3*y = -y - j, 4*b + 19199984 = 4*y. Round b to the nearest one million.
-5000000
Let w(v) = v**2 + 9*v + 10. Let m be w(-7). Let j be (1/2)/((-6)/24). Let s be (j - 1318/m)*-4. Round s to the nearest one hundred.
-1300
Let t(z) = -440002*z - 6. Let r = 2 + -5. Let h be t(r). Round h to the nearest one hundred thousand.
1300000
Let b = 0.13 + 41.87. Let r = 457035 - 456992.99942. Let f = r - b. Round f to four dps.
0.0006
Let l = -117.231 - -0.231. Let f = -116.99946 - l. Round f to 4 decimal places.
0.0005
Let s = -0.429 - -0.4290361. What is s rounded to six decimal places?
0.000036
Let t = -10.99 - -11. Let o = -10.01 + t. Let k = o + 11.05. What is k rounded to one decimal place?
1.1
Let c = 0.74 - 0.638. Let z = -0.023 + c. Round z to two decimal places.
0.08
Let w = 0.7079 - 1174.3079. What is w rounded to the nearest ten?
-1170
Let k(y) = -y - 3. Let w be k(2). Let t(q) = q**3 + 6*q**2. Let u be t(w). Suppose u = -d + 68. What is d rounded to the nearest 10?
40
Let c = -20.968 + -0.032. Let l = 21.3 + c. Let p = l + -0.3001. What is p rounded to 3 dps?
0
Let k = -29.1767 - -9.7814. Let p = 0.5897 - k. Let s = -20 + p. Round s to 2 decimal places.
-0.02
Let t = 0 - -13. Let o = 1427.198 - 1414.19818. Let q = o - t. What is q rounded to 4 decimal places?
-0.0002
Let s = -2.4 - 96.6. Let t = -0.92730475 - -99.92721075. Let a = s + t. Round a to five dps.
-0.00009
Let u(w) = -22399*w**2 + 7*w + 10. Let v be u(-5). Round v to the nearest 1000000.
-1000000
Let q = 2607.950263 - 2757.1546479. Let m = q + 0.1910849. Let o = -149 - m. Round o to 3 dps.
0.013
Let m = -7.71 - -6.866. What is m rounded to one decimal place?
-0.8
Suppose 40800 = 30*m - 35*m. What is m rounded to the nearest 1000?
-8000
Let z = -68175372920 + 68175831546.999984. Let p = z - 458624. Let d = -3 + p. What is d rounded to 5 dps?
-0.00002
Let k = 709.1 + -773. Let u = k - -58. Round u to the nearest integer.
-6
Let x = -0.1697 - -2.5297. Round x to 2 decimal places.
2.36
Let f = -0.49 - 1.35. Let a = -2 - f. Let x = a + 0.36. Round x to one dp.
0.2
Let o = -31 + 42. Let n(u) = o*u**2 - 64 + 296*u**3 + 64 - 20*u - 59*u**3. Let f be n(20). What is f rounded to the nearest 100000?
1900000
Let d = 60.02584 + 0.08416. What is d rounded to the nearest 10?
60
Let t = -156.018 - -156. What is t rounded to 2 dps?
-0.02
Let g = 28415500 - 28415503.0000027. Let k = -7 - -4. Let f = g | {
"pile_set_name": "DM Mathematics"
} |
rom 1466.8855.
15210182.8855
What is the distance between 9111.167 and 94600?
85488.833
9734.03208178 - 0.2
9733.83208178
What is the distance between -0.28 and -32765524583?
32765524582.72
What is the distance between -143608654002 and 271?
143608654273
What is the distance between -0.02455083832 and 2301?
2301.02455083832
Sum 349361 and -1.2792649.
349359.7207351
Add -260273124 and -1678.
-260274802
What is 5.471922251 less than -71?
-76.471922251
Subtract -0.03 from -0.0644502065735.
-0.0344502065735
7087325+60818742
67906067
What is 3.89744 plus 18.83695961?
22.73439961
What is -0.22 - 0.241757234?
-0.461757234
24126860.42 - -0.347
24126860.767
What is 0 less than 864408200772?
864408200772
Add 16.545718976 and -0.0513.
16.494418976
What is 11.6 + 77071896.037?
77071907.637
What is -922132562.755 + -0.14?
-922132562.895
What is the distance between 63573898962377 and -6?
63573898962383
Subtract 9327 from 2.3794733543.
-9324.6205266457
What is 698108223 less than 0.5008?
-698108222.4992
Add 389597429 and -193.
389597236
Add 248 and -38511407772.
-38511407524
Put together 268664962689 and 3.
268664962692
Put together -1044 and -85728.932.
-86772.932
-0.037000046 - 26457.18
-26457.217000046
Work out 1.438090862 - 283431.
-283429.561909138
Calculate 2247437973 + -422.
2247437551
Work out -0.019433 - -813442067.
813442066.980567
What is 3 less than -10556.783111728?
-10559.783111728
Add -19.493332419 and -106.
-125.493332419
What is the distance between 203.118331 and -36433?
36636.118331
Calculate -1097542 + -489992455.
-491089997
What is the distance between 723.87755 and 13309?
12585.12245
Add -1642000.932816 and 0.1.
-1642000.832816
Add -2408736363292 and 2.4.
-2408736363289.6
What is -307170.558 minus 505?
-307675.558
Calculate -0.078916004 - -1919086.
1919085.921083996
What is the difference between 271051805.56 and 0.049?
271051805.511
782147385269 + -0.5
782147385268.5
Add together 37035853 and -1904.
37033949
Work out 0.00433 - 3275.66847.
-3275.66414
Calculate -463935.99 + 476.7.
-463459.29
What is the difference between 3825196.71 and -456?
3825652.71
What is 8.5140108395 less than 0.4?
-8.1140108395
What is 968 minus -9082.4735328?
10050.4735328
What is 656731556 take away -5903?
656737459
What is the difference between 68507576755986.9 and 3?
68507576755983.9
Total of -10168994 and 9784.
-10159210
Total of 43227916931 and 5.
43227916936
Total of 19 and 3772098.01091.
3772117.01091
Calculate 115.762 + -57685816.
-57685700.238
Work out 0.1 + -237.6127842517.
-237.5127842517
Put together 11238 and -102132633.
-102121395
Add together 4445380752 and 287.7.
4445381039.7
What is 0.03967 minus 25735521320?
-25735521319.96033
What is -108740074982 take away -133?
-108740074849
Add 443514 and 6932754.
7376268
What is -2165.7811042746 plus -0.5?
-2166.2811042746
What is the distance between -1958212275 and 36?
1958212311
What is the difference between -1201071147077 and 130?
1201071147207
-38.696271 + 0.2373
-38.458971
14725568.27409+78
14725646.27409
Work out -2553018368 + -7656.
-2553026024
What is -1.16500244741 minus 1.14?
-2.30500244741
-10999742879803 + -5
-10999742879808
What is -118081584549024 minus -0.3?
-118081584549023.7
Calculate -35 - -188.462551461.
153.462551461
-40.7130591+53247
53206.2869409
Work out 40734.4 + -4909899.1.
-4869164.7
-60516637.5268+5
-60516632.5268
What is -993.30818776 take away -7?
-986.30818776
Subtract -39.002 from 4985.955.
5024.957
Add together -0.20221 and 48062593.
48062592.79779
What is 5735.9909217 less than -35?
-5770.9909217
Subtract 45041607247 from -0.125.
-45041607247.125
What is 11.18 - -639081465?
639081476.18
420462412828832+-0.3
420462412828831.7
Sum -111279 and 400522.31.
289243.31
What is -19116.53767403 take away 0.9?
-19117.43767403
What is -1429801546353 plus 0.14?
-1429801546352.86
What is 0.016 + 863410512?
863410512.016
Calculate 1336 - -59.53442988.
1395.53442988
Work out 2241445290664 - 2.
2241445290662
2 - -1166511812779
1166511812781
Add -0.713 and -254222314.
-254222314.713
Work out -2.3 - 3461007753458.
-3461007753460.3
What is 6 less than -16457312890424?
-16457312890430
Add -0.02 and 54058870114.
54058870113.98
What is 14673.6036114 plus -222?
14451.6036114
What is the difference between -101.716249543838 and 0.1?
101.816249543838
Add -11582313606157 and -14.3.
-11582313606171.3
Calculate 27299 - 2.23274655.
27296.76725345
What is the difference between -0.5 and 699152.74811?
699153.24811
-0.7605+-21837846
-21837846.7605
1.925020304 - -154
155.925020304
Add together -1265560821479 and 3.
-1265560821476
Put together -227409.26 and 1604549.
1377139.74
Add 5 and -4475704989766.
-4475704989761
Calculate 4.6925 - -969.11982.
973.81232
Work out -20 - -432482463233.
432482463213
What is 2 - -36723570017?
36723570019
-1299.40712601+-5
-1304.40712601
Total of 0.010248 and 0.02106032.
0.03130832
What is 2.9 minus -3474935.24402?
3474938.14402
Add -8363997.3258 and -0.1.
-8363997.4258
8768.0414 - -45106.2
53874.2414
What is 0.1 less than 9758830183861?
9758830183860.9
Calculate -23259.0973 - 192.
-23451.0973
What is -15 + -14739.71959826?
-14754.71959826
Total of -27930644130.1 and 0.8.
-27930644129.3
What is -483961 less than -431207?
52754
What is the distance between -67313249 and 0.357?
67313249.357
Work out -35608415865 - 28.
-35608415893
Calculate -4 + -21896.622923087.
-21900.622923087
What is 30978 plus 1418008?
1448986
What is 13 - -3611758840?
3611758853
Put together 3683366960 and -2559.
3683364401
Add together -0.059 and -895674877.
-895674877.059
Work out 17.531 - -57835373.
57835390.531
What is 0.1742 minus -26621275?
26621275.1742
Work out -41.27964 - -1.16979.
-40.10985
Work out 70895931 + 1519.
70897450
-38673 + -38.835709
-38711.835709
-53.4624+0.0779089
-53.3844911
Add -0.2 and -64882615.
-64882615.2
What is the difference between -6730.527655 and -32?
6698.527655
What is 15994843202811 - 0?
15994843202811
Total of 9054.917141466 and -0.4.
9054.517141466
Subtract 15253712.492 from -22.
-15253734.492
What is 21698564821 minus 177?
21698564644
Work out 119406187 + -0.23634.
119406186.76366
Sum -16540747 and -12000.027.
-16552747.027
275205658 + -5.387
275205652.613
-7 + 277207047486
277207047479
Sum 1599160 and -179804471.
-178205311
What is 73 minus 40486665068?
-40486664995
Subtract 0.46311 from 85846829.
85846828.53689
Sum -29 and 148721541761.1.
148721541732.1
What is -538 - 34.05072153?
-572.05072153
Sum 5 and 234071533803.
234071533808
What is the distance between -0.05 and -70567800.58?
70567800.53
What is 1 take away 18228.96558438?
-18227.96558438
1640.5508 + -24839.44
-23198.8892
What is the difference between -27.850024 and -11.135?
16.715024
707328086936 - 0.4
707328086935.6
What is 3.619 - 99110.649893?
-99107.030893
Work out 38283811.314034 - 0.1.
38283811.214034
What is 213587681 less than -67909?
-213655590
0.6301 + -1132.7206
-1132.0905
What is the distance between 52 and -15385647262?
15385647314
Put together 0 and 268920754917.1.
268920754917.1
Subtract -147.292248085 from -0.01.
147.282248085
-0.2185 - 4194.8477
-4195.0662
Calculate 0.0564 + 6577.1131.
6577.1695
353960.9197 - 25440
328520.9197
What is -0.4808 take away -9.2754025?
8.7946025
What is 107 less than -2422.047440483?
-2529.047440483
Subtract -4 from 104772645498.
104772645502
Work out -1.3 + -2672610453835.
-2672610453836.3
Calculate -4 + -172569478159.
-172569478163
10.928765236 + -2
8.928765236
What is 694379140 take away -0.0525402?
694379140.0525402
What is the difference between 1724679 and 291.13816?
1724387.86184
What is -1.902 take away 0.3482708?
-2.2502708
Add -18913468 and 50.659.
-18913417.341
-0.68303 - -0.0193206
-0.6637094
Subtract -133.5 from 3493147.49483.
3493280.99483
What is -6464751154 take away 76535?
-6464827689
What is -13649722.7257195 less than 5?
13649727.7257195
What is -9146525.11312 + -3?
-9146528.11312
Calculate 17675403685930 + 4.
17675403685934
What is -1975.26 minus 474684.42?
-476659.68
Add 263 and -118272186359.
-118272186096
Total of -4440 and -143322110.
-143326550
Calculate 5 - -29334218828.
29334218833
Add together 0.0091 and 2253907294.
2253907294.0091
Sum 31454.5921 and 5.6027.
31460.1948
Calculate -5 - 1289727402.95.
-1289727407.95
What is | {
"pile_set_name": "DM Mathematics"
} |
(c) -0.5 (d) -100 (e) -2/5
a
Which is the sixth biggest value? (a) -1 (b) 442 (c) -2.1 (d) -4 (e) 1 (f) 4
d
What is the fourth smallest value in 48, 1/4, 139271, -3?
139271
Which is the second biggest value? (a) -13/4 (b) 1/3 (c) 1.9652
b
Which is the third smallest value? (a) 0.7 (b) -26/9 (c) 3 (d) -2 (e) 123 (f) -0.3
f
Which is the second smallest value? (a) 0.05 (b) -223 (c) -545
b
What is the third biggest value in -3/5, 18, 3/8, 3, 5549, -1?
3
What is the fourth biggest value in 1.519, 2/3, 0.3, -26/15, -5?
-26/15
What is the second biggest value in 1, -51.3, -211.071?
-51.3
What is the third smallest value in -45/4, 365, 3048?
3048
What is the fifth biggest value in -4, -84, 1, 7, 0.025109?
-84
What is the biggest value in -0.3, -2, 7, 1, -0.5, -13/444, -4?
7
Which is the biggest value? (a) -13 (b) -1/10 (c) -700759 (d) 3/10
d
Which is the third smallest value? (a) -6 (b) 784 (c) 118.2
b
What is the third smallest value in 1/11905219, 1, -14?
1
Which is the second smallest value? (a) 1 (b) 4 (c) -0.33 (d) -215984
c
Which is the third smallest value? (a) 171 (b) 0.5 (c) -16727 (d) 1
d
What is the fourth smallest value in 5, 7, 3, 2/9, 0.41, -0.0871?
3
What is the seventh biggest value in 0.05, 1/3, -1, -5, 4/3, 36, 1/50?
-5
What is the smallest value in -39, 35152/519, -0.3?
-39
What is the fourth smallest value in 0, 67, -12976, 1/2?
67
What is the fourth smallest value in 0.5, 9, 165, 45, 29?
45
Which is the second biggest value? (a) -41.6 (b) 1 (c) -4 (d) -0.4 (e) 2/13 (f) 1/3 (g) 302
b
Which is the second smallest value? (a) -10905/7 (b) -6 (c) 21
b
What is the seventh biggest value in -0.5, 6.2, 0, -6, 1, -0.2, -3?
-6
Which is the sixth biggest value? (a) 0.12 (b) 1.8 (c) 0.2 (d) -66/23 (e) 6.2 (f) -5 (g) -4
g
Which is the fourth biggest value? (a) -91 (b) 105 (c) 0 (d) -17/5 (e) 0.3 (f) -1
f
What is the third smallest value in 412, -1/155412, 3?
412
Which is the biggest value? (a) 3964 (b) -1.3 (c) -225
a
What is the seventh biggest value in 0.4, -102.15, -0.2, -330, -1, 4, 1/4?
-330
What is the third biggest value in 29.5, 7, 0, -153, 5?
5
Which is the second smallest value? (a) -3/7 (b) 98/3 (c) -5.8 (d) -1 (e) -4
e
What is the biggest value in 5/3, 22, -8, 2/27, 14/5?
22
What is the smallest value in -1/4, 1/365, -1/18, 4, 0, 2/51?
-1/4
Which is the third biggest value? (a) -0.397 (b) 1/3 (c) -0.2 (d) -15 (e) 5
c
What is the third smallest value in -1/9, 0.8, -5, -216, 11?
-1/9
Which is the fourth smallest value? (a) 0.132 (b) -0.3 (c) 3/7 (d) 214/23
d
Which is the second biggest value? (a) -6 (b) -6/911 (c) -0.11 (d) 4 (e) 2 (f) -0.2
e
Which is the biggest value? (a) 267 (b) 0.5 (c) 64/435
a
Which is the fourth biggest value? (a) 0.01 (b) -5 (c) 3/254 (d) 5 (e) -16
b
What is the third smallest value in -2, 0.4, 0.7, 1350620?
0.7
What is the smallest value in 10/167, 0.1, 1, -4, 7, 20.6, 6?
-4
Which is the second biggest value? (a) 2 (b) -2 (c) 3 (d) 13 (e) 0.3 (f) -0.065 (g) 116
d
What is the fourth smallest value in -2/3, 1/625, 5, 125, 1?
5
Which is the fifth biggest value? (a) 2 (b) 1 (c) -384 (d) -2/9 (e) 640
c
What is the fourth smallest value in 0.1, -91869, -3, 11, -5?
0.1
Which is the fourth smallest value? (a) 2 (b) -2/10947 (c) -6/13 (d) -9 (e) -0.5
b
What is the sixth smallest value in 1.2, 1/3, -8, -1, 5, -0.5, -16862.9?
1.2
What is the smallest value in 1, -76219, 4?
-76219
Which is the second biggest value? (a) 1/766 (b) 1.9 (c) 1 (d) 1/28 (e) -1 (f) 2/11 (g) -10
c
Which is the fourth smallest value? (a) 278 (b) 0.4 (c) 4815 (d) 2 (e) 4
a
What is the third biggest value in -3, 0, 3099, 389, 5?
5
What is the second smallest value in -2/7, 1, -58/3, 2/5, 156, 5?
-2/7
Which is the fourth smallest value? (a) -9/4 (b) -0.05 (c) 1/3 (d) -0.1 (e) 38925
c
What is the sixth biggest value in -1/4, -0.5, -1537, 0.1, 27, 0.2?
-1537
What is the third biggest value in -2/6383, 4/11, 432, 2/3?
4/11
Which is the seventh biggest value? (a) -18 (b) -127 (c) -0.6 (d) -1/8 (e) 0.1 (f) -0.01 (g) 2
b
Which is the third biggest value? (a) 1 (b) -140 (c) 3 (d) 0.26 (e) 5 (f) 2
f
Which is the fourth biggest value? (a) 6/5 (b) -11 (c) 88/9 (d) 6.5
b
What is the fourth smallest value in -3628, -97, 0.3, 4/3, 6?
4/3
Which is the second smallest value? (a) 2.4819 (b) -1531 (c) 0
c
What is the second smallest value in -49/6, 26645, 1.2?
1.2
Which is the seventh biggest value? (a) -1/92 (b) 0.4 (c) 0.2 (d) 51 (e) -2/5 (f) -1 (g) -4
g
What is the third smallest value in 1/2, -3/4, 0.0881, -656, 0, 0.4?
0
Which is the sixth biggest value? (a) -5/6 (b) 57 (c) -1/3 (d) 2 (e) 3 (f) 1/3
a
What is the second biggest value in -0.081, -4, 142014?
-0.081
Which is the seventh biggest value? (a) 1/3 (b) 0.1 (c) 14/31 (d) -48 (e) 2/13 (f) 0.3 (g) 2
d
Which is the fourth smallest value? (a) 2/5 (b) -0.08 (c) 22519/442 (d) -0.2
c
Which is the fourth smallest value? (a) 115 (b) -2 (c) 1 (d) 506646
d
What is the third smallest value in -13/4, 2/3, 20/9, 5, -0.068, -0.03?
-0.03
Which is the third smallest value? (a) -1/2 (b) -686 (c) 253
c
Which is the seventh smallest value? (a) 1319 (b) -26 (c) -3/2 (d) -0.5 (e) -0.4 (f) 57 (g) -0.1
a
What is the third biggest value in 5, -171366, -0.5, 2, 81, 3, 4/5?
3
Which is the fifth smallest value? (a) 82 (b) -5 (c) 0.4 (d) 99 (e) 0.3 (f) -10
a
Which is the fourth smallest value? (a) -49 (b) -1159 (c) 115 (d) 1/9 (e) 0
d
What is the third biggest value in -3, 3/14, -2061?
-2061
Which is the smallest value? (a) 10 (b) 0.1 (c) -5/6 (d) 0.5 (e) 4875 (f) -2 (g) -0.03
f
What is the seventh biggest value in -2, -4/9, -3, 32, 1/8, 100, 0.2?
-3
Which is the second biggest value? (a) -0.5 (b) -11.6 (c) -1/3 (d) 0.3 (e) 117.7 (f) -3
d
Which is the biggest value? (a) -3 (b) -1/32 (c) -0.3 (d) -0.1 (e) -4/25 (f) -5
b
Which is the third biggest value? (a) 1247 (b) -28 (c) -2031
c
What is the biggest value in -3, -0.2, 20.3, 4, 10900/3?
10900/3
What is the fifth biggest value in -15, 0.3, -2/7, -0.5, 9/16, 0.2, 0?
-2/7
What is the third biggest value in -2/5, 1, 4, -4, 0, 0.2, 99415?
1
What is the second smallest value in -12.619, -1, 193.11?
-1
Which is the smallest value? (a) -463989 (b) 0.5 (c) 3/232
a
Which is the fourth biggest value? (a) -5/2 (b) 0.1 (c) -4/3 (d) -1.585 (e) -0.073
d
Which is the fourth smallest value? (a) -4/7 (b) 0.4 (c) 5 (d) 1/845 (e) -1/3 (f) -27
d
Which is the smallest value? (a) 4 (b) -7.444 (c) -0.3 (d) -0.4 (e) -1/11 (f) 0.3 (g) 1/5
b
Which is the second smallest value? (a) -18 (b) -2/7 (c) -0.387 (d) 3/13
c
What is the third biggest value in -1431, 466, -4/13?
-1431
Which is the fourth biggest value? (a) 3 (b) 28 (c) -1/13 (d) -3/11 (e) -23
d
What is the sixth smallest value in 2/3, 0, -1/3, 3/7, 3732, -1?
3732
What is the biggest value in -45, -12, -2/13, 5, 22, -1, -2?
22
Which is the third smallest value? (a) 2 (b) 1/14 (c) -5 (d) -2/223911 (e) 0
e
Which is the second smallest value? (a) 31/12 (b) -17 (c) -2/927
c
What is the third biggest value in -914, 4/3, -1/32, 2, 111?
4/3
Which is the fourth biggest value? (a) -0.0494 (b) -0.02 (c) 0.79 (d) -0.6 (e) -3 (f) 10
a
Which is the third biggest value? (a) 1 (b) 154290 (c) 129 (d) -4
a
What is the fourth smallest value in -0.3, -2/17, -5, 3/7, -5/12971, -0.01, 0?
-0.01
Which is the third biggest value? (a) 9 (b) 7631 (c) -0.8 (d) -4 (e) 4/3 (f) 1
e
What is the second biggest value in -4, -8, -1238553?
-8
Which is the smallest value? (a) 1 (b) -2433 (c) 0.4 (d) -12/7 (e) -1
b
What is the second smallest value in 1, 0.228, -9864?
0.228
Which is the third biggest value? (a) -2/25 (b) -4 (c) -2/5 (d) 2/3 (e) 27 (f) -2/81 (g) -0.9
f
What is the third smallest value in -736, -8/5, 2.12, -3, 0.5, -2/9?
-8/5
Which is the fourth smallest value? (a) -1 (b) -2389 (c) 4 (d) 0 (e) -3 (f) -37
a
Which is the biggest value? (a) 2 (b) -268 (c) 1165 (d) 2/261
c
What is the second smallest value in 2/121, 5, 0.3711, 1, -2/13?
2/121
Which is the fifth smallest value? (a) 2 (b) 2/ | {
"pile_set_name": "DM Mathematics"
} |
be 1*(0 - 1) + 8. Suppose 0 = -2*t + u*t. Suppose x + t*p - 23 = -3*p, 4*x = -5*p + 64. List the prime factors of x.
11
Suppose 0 = 2*q - 76 - 4. What are the prime factors of q?
2, 5
Suppose l + 5*s + 23 + 2 = 0, -5*s = -4*l + 25. Suppose l = 3*q - q - 38. List the prime factors of q.
19
Suppose -356 = -5*u + u + 5*v, 4*u - 324 = -3*v. Suppose -3*t = -7*t + u. What are the prime factors of t?
3, 7
Let k(u) = u**3 + 8*u**2 + 5. Let i be k(-8). Suppose 5*l - 10 = i*h, 13 + 19 = l + 5*h. What are the prime factors of l?
7
Let p(v) = 5*v + 38. What are the prime factors of p(26)?
2, 3, 7
Let g = -12 + 56. What are the prime factors of g?
2, 11
Suppose -r = -0*r. Suppose a - 1 - 1 = r. Suppose 3*f = a*v + 43 - 2, 2*f + 5*v = 2. What are the prime factors of f?
11
Let f(w) = -w**2 + 5*w + 2. Let a be f(5). Let o = 37 - a. List the prime factors of o.
5, 7
Let b = 1 - -6. Suppose 31 = 2*x - b. What are the prime factors of x?
19
Suppose 0 = 3*z - 10 - 41. Let p = 37 - z. Suppose -2*g - 4*q = -3*q - 10, 5*g - p = -5*q. What are the prime factors of g?
2, 3
Let j be (3 - 3)*-1*1. List the prime factors of 13 + (2 - 2 - j).
13
Suppose -4*t + 57 - 5 = p, 0 = -4*t + 8. List the prime factors of p.
2, 11
Let h be 2/(-4)*(-25 + 1). Suppose 4*z + h = 108. Let a = -14 + z. What are the prime factors of a?
2, 5
Let g = -134 - -216. What are the prime factors of g?
2, 41
Let h(b) = b**3 - 5*b**2 - 2*b + 3. Let p be h(4). Let u = -7 - p. List the prime factors of u.
2, 7
Let j(r) = -13*r - 1. Let p be j(-1). Suppose -p = -4*g + 2*g. Let n = g - 0. List the prime factors of n.
2, 3
Suppose 3*o - 5*s - 140 = 0, -o = s + s - 43. List the prime factors of o.
3, 5
Suppose -4*a - 140 = -8*a. List the prime factors of a.
5, 7
Suppose 2 = -s - 0*s. Let b be 4 + 1 + -1 + 1. Let h = b + s. List the prime factors of h.
3
Let n = 489 - 234. What are the prime factors of n?
3, 5, 17
Suppose -4*w + 2*w = -8. Suppose 7*k + 12 = 10*k. Suppose -2*h = k*m - 3*h - 49, 0 = -w*m + 5*h + 69. What are the prime factors of m?
11
Suppose 5 = s + 2*g, -3*g = 3*s - 8*s + 90. Let x = s + -9. List the prime factors of x.
2, 3
Let v be (-8)/(-10)*(0 - -5). List the prime factors of (50/(-3))/(v/(-6)).
5
Let w be ((-8)/16)/((-2)/12). Let l = 28 + w. List the prime factors of l.
31
Let f be -1*20/8*-2. Suppose -s + f = -4. What are the prime factors of s?
3
List the prime factors of ((-18)/12)/((15/302)/(-5)).
151
Suppose 5 = k - 9. Let g = 37 - k. List the prime factors of g.
23
Let p(h) be the third derivative of -h**5/60 - 11*h**4/24 - 7*h**3/6 + 3*h**2. List the prime factors of p(-5).
23
Let u = 5 - 2. Suppose u*l = -l. Suppose 4*v + 2*h - 24 = l, 8*v = 3*v + 5*h + 60. List the prime factors of v.
2
Suppose -5*s = -2*s - 6. Suppose -14 = -s*i - 0*i. List the prime factors of i.
7
Suppose -4*u + 20 - 8 = 0. Suppose 3*s = s + 10. Suppose -t + s*f - 6 = -24, 9 = -u*f. What are the prime factors of t?
3
Let t(x) = x**3 + 5*x**2 + 6. Let d be t(-5). Let z be 5/((-45)/d)*3. List the prime factors of (z + 1)/((-3)/15).
5
Let v = 1 + 59. List the prime factors of v.
2, 3, 5
Suppose y - 2 = -0*y. What are the prime factors of y?
2
Let l = 15 + -9. Let p be 5/((-15)/6)*(-4)/(-8). List the prime factors of (-3)/l*26/p.
13
Let x = 5 - 2. Let k be 1 - x/3*3. What are the prime factors of 9 - k/2*0?
3
Suppose 0 = -2*h + 4*m - 14, 3*h - m - 4 = -0*h. Suppose -h*c + 89 = 4*k, 0 = k + c - 15 - 6. What are the prime factors of k?
2, 13
Let l = 35 - 21. Let f(d) = d + 9. Let k be f(-5). Let h = l - k. What are the prime factors of h?
2, 5
Let r(f) = f**3 - 2*f**2 - f + 1. Let m be r(2). Let k be (16/12)/(m/9). What are the prime factors of 18/8 + 3/k?
2
Let w(a) = 6*a**3 - 2*a**2 - 9*a + 3. List the prime factors of w(4).
11, 29
Let y(j) = -j + 2*j + 23*j**2 + 3 - 3*j - 2. List the prime factors of y(1).
2, 11
Suppose j - 4*h + 19 = 0, -2*j - h - 4*h + 14 = 0. Suppose -y = -5*m - 10, 5*m - 3*m = y - 4. What are the prime factors of (-27)/j*m/(-2)?
3
Let k = 2 - 4. Let z(r) = r**3 - r**3 - 3*r**2 + 2*r**3 - 5*r**3. List the prime factors of z(k).
2, 3
List the prime factors of (3/(-2))/(3/(-68))*2.
2, 17
Suppose 0*i = 3*i - 9. Suppose -2*q + i + 39 = 0. What are the prime factors of q?
3, 7
Suppose -9*v - 605 + 1865 = 0. What are the prime factors of v?
2, 5, 7
Suppose 85 = 2*f - 69. What are the prime factors of f?
7, 11
Let q(j) = j**2 + 5*j - 10. Let f be q(-7). Let y be (-2)/(-4)*(f - 2). Let k(d) = 2*d. List the prime factors of k(y).
2
Suppose -19*r + 444 = -17*r. List the prime factors of r.
2, 3, 37
Suppose -6*t + t = 0. Suppose 3*r - 7 = -2*i + 15, -i - 2*r + 12 = t. List the prime factors of i.
2
Let g = 2 - -10. What are the prime factors of g?
2, 3
Let r(g) = -g**2 + 6*g + 12. Let d be r(9). Let f = 33 + d. Let s = f - 11. What are the prime factors of s?
7
Let q(p) = p**3 - 4*p**2 - p - 11. What are the prime factors of q(5)?
3
Let r(y) be the third derivative of -y**5/60 - 5*y**4/24 + 2*y**3/3 - 2*y**2. What are the prime factors of r(-4)?
2
Suppose v + 4*v + 2*x - 185 = 0, -2*x = 3*v - 115. Let d = v - -18. List the prime factors of d.
53
Suppose -2*c = 31 - 115. What are the prime factors of c?
2, 3, 7
Let w(i) = -5*i - 4. List the prime factors of w(-4).
2
Let s(g) = -130*g**3 + 5*g + 4. List the prime factors of s(-1).
3, 43
Let n = -28 + 76. List the prime factors of n.
2, 3
Suppose 12*q = 9*q + 297. List the prime factors of q.
3, 11
Let b(d) = -2*d**2 + 30*d + 28. List the prime factors of b(15).
2, 7
What are the prime factors of ((-1862)/21)/(8/(-12))?
7, 19
Let x(u) = -u**3 - 5*u**2 - 6*u - 7. List the prime factors of x(-5).
23
Suppose z = -4*z + 135. What are the prime factors of z?
3
Suppose 5*u + 32 = 5*r - 9*r, 0 = 4*u - 2*r + 36. Let b = 4 - u. List the prime factors of b.
2, 3
Let w be -1 + 0 - (3 - 3). What are the prime factors of (w - 0)/(3/(-63))?
3, 7
Let m = 13 - 14. List the prime factors of (-12)/12 + 31 + m.
29
Let v(f) = f**3 - 8*f**2 - 2*f + 8. Let z be v(8). Let r be (-27)/2*z/12. Let c = r + -4. List the prime factors of c.
5
Let h = -16 + 21. Let t be 15 + (1 - 2) + 1. Suppose -h*q + 0 + t = 0. List the prime factors of q.
3
Let t = 128 - 90. Suppose 4*w + 43 = 3*s, t = -s + 3*s + 2*w. List the prime factors of s.
17
Let u(j) = j - 2*j**2 + 0*j**2 + 3*j**3 - 4*j**3 - 3. Suppose 0 = -m + 3*h - 18, 2*h + 7 - 2 = -5*m. List the prime factors of u(m).
3
Let w(h) = -h**3 - h**2 + 2*h**2 + h**2 - h + 2*h**3. Let t be w(-2). What are the prime factors of -1*t - 10/(-2)?
3
Suppose -3*m + 27 = 4*w - 0*m, 25 = 5*w - 5*m. Let q(p) = 2*p**2 - 4*p - 5. Let a be q(5). Suppose -w*z + a = -z. List the prime factors of z.
5
Suppose g - 5*h - 33 = 0, -g + 0*h + 24 = 4*h. List the prime factors of g.
2, 7
Let h be (-7)/1*(-1 + 0). Let f(i) = 3*i - 1. Let d be f(-2). What are the prime factors of h/2*(d - -11)?
2, 7
Suppose 2*w - 2 + 14 = 0. List the prime factors of 6/(-2) - 180/w.
3
Suppose -5*d + 25 = 0, -d = 3*s - 4*d + 66. What are the prime factors of 2*(-3)/6*s?
17
Let y be (-20)/4 - (-1)/1. Let z(g) = -2*g - 2. Let s be z(y). List the prime factors of ((-52)/(-6))/(4/s).
13
Let g be (-4)/6*3/1. What are the prime factors of 36/4 + 0/g?
3
Let g(q) = 4*q**2 + 4*q + 1. Let h be g(2). Let z = h + -12. What are the prime factors of z?
13
Let z(n) = -2*n - 6. Let b = 8 - 15. What are the prime factors of z(b)?
2
Let d = -143 - -263. List the prime factors of d.
2, 3, 5
Suppose -2*u + 4*u = 12. Suppose -4*z - 2 - u = 0. Let q = 7 + z. List the prime factors of q.
5
Suppose -5*s + 4*s - 4*t = 11, -3*s = 3*t + 15. List the prime factors of 18/12*(-32)/s.
2
Let b = 12 + -28. Let h = b + 53. List the prime factors of h.
37
Let f(b) = b**3 - 8*b**2 + 9*b - 11. Let d be f(8). Let c = d - 21. What are the prime factors of c?
2, 5
Let p(d) = d. Let y be p(6). Let o be 94/6 - 4/y. What are the prime factors of o/(-2)*12/(-10)?
3
Let h(n) = 2*n**3 + 2*n**2 - 5*n - 4. Let a be h(-3). Let d = 0 - a. What are the prime factors of d?
5
Let a = -14 - -22. Let l = a - -25. List the prime factors of l.
3, 11
Let s = -12 - -12. Suppose b = -s*b - 2*m + 16, 4*b - 3*m = 9. What are the prime factors of b?
2, 3
Suppose 3*z - 2 = 7. Suppose 4 + 8 = z*o. List the prime factors of o.
2
Let r be (0 - | {
"pile_set_name": "DM Mathematics"
} |
*2 + 3*y + 2. Let b be c(-4). Let a(p) = 6 - 9 - 1117*p + 1118*p. Let h(z) = -z + 5. Give b*h(j) + 10*a(j).
4*j
Let h(r) be the third derivative of 5*r**4/24 - 5*r**3/2 + r**2. Let p(o) = 1. Suppose 17*s + 5 = -4*u + 18*s, -s = -1. Determine u*h(i) - 15*p(i).
-5*i
Let b(c) = 54*c - 2. Let x(t) = -52*t + 1. Give -5*b(d) - 6*x(d).
42*d + 4
Let n(b) = 17*b + 5. Let l(c) = 29*c + 5. Let w(m) = -30*m - 4. Let f(u) = -4*l(u) - 3*w(u). Give 5*f(x) + 8*n(x).
6*x
Let j(u) = -2*u + 1. Let z(n) = n**2 + 5*n - 7. Let c be z(-7). Let r = c - -6. Let f = 10 - r. Let b(q) = 2*q - 1. Determine f*j(h) - 4*b(h).
-2*h + 1
Let l(i) = -i - 3*i + 3*i + 2. Let p(y) be the second derivative of -y**3/6 + y**2 - 4*y. Calculate 2*l(w) - 3*p(w).
w - 2
Let i(u) be the first derivative of -9*u**4/4 - 2*u**3 + 3*u**2 - 6*u - 3. Let a(m) = 6*m - 16 - 13*m**2 + 3 + 0*m - 19*m**3 + 7*m. Give -6*a(b) + 13*i(b).
-3*b**3
Let y(a) be the third derivative of a**5/6 + a**4/6 - a**3/6 - 54*a**2. Let g(n) = 20*n**2 + 9*n - 2. Give -4*g(k) + 9*y(k).
10*k**2 - 1
Let t(r) = -r - 1. Let i(g) = 37*g + 4. What is -i(l) - 3*t(l)?
-34*l - 1
Let v(u) = -4*u**3 + 3*u - 2. Let h(b) = 3*b**3 - 2*b + 1. Suppose -j = 4*m + 20 - 8, 5*j + 16 = 2*m. Give m*v(z) - 3*h(z).
-z**3 + 1
Let u(g) = 6*g**2 + 116*g + 8. Let y(t) = 13*t**2 + 232*t + 18. Give 9*u(l) - 4*y(l).
2*l**2 + 116*l
Let z(s) = 5*s**2 - 6*s - 6. Let x(k) be the second derivative of -k**4/12 + k**3/6 + k**2/2 + 41*k. Determine 6*x(g) + z(g).
-g**2
Let q(b) = -6*b**2 - 55*b - 5. Let u(v) = 5*v**2 + 54*v + 4. Give -6*q(l) - 7*u(l).
l**2 - 48*l + 2
Let a(o) = -22*o**3 + 32*o**2 + 5*o. Let d(m) = -33*m**3 + 47*m**2 + 8*m. Give 8*a(l) - 5*d(l).
-11*l**3 + 21*l**2
Let k(b) = -19*b - 79. Let y be k(-4). Let z(p) = 14*p**2 - p + 4. Let j(w) = -13*w**2 + w - 3. What is y*z(o) - 4*j(o)?
10*o**2 - o
Let a(f) = -31*f - 9. Let i(y) = 31*y + 7. Calculate -3*a(l) - 4*i(l).
-31*l - 1
Let h(z) = z**3 + 5*z**2 + 2*z + 3. Let y be h(-5). Let f(b) = b - 2. Let w(q) = -4*q**2 - 215*q + 3*q**2 + 218*q - 7. Give y*f(j) + 2*w(j).
-2*j**2 - j
Let f(w) = -10*w**3 + 2*w**2 + 4*w - 12. Let z(g) = 13*g**3 - 3*g**2 - 5*g + 11. Calculate -5*f(n) - 4*z(n).
-2*n**3 + 2*n**2 + 16
Let a(o) = 39*o**3 + o**2 + 3*o - 2. Let l(z) = -z**2 - z. Determine a(i) + 3*l(i).
39*i**3 - 2*i**2 - 2
Let u(s) = -10*s + 5. Suppose -4*x + 8 = -20. Let t(r) be the first derivative of 15*r**2/2 - 7*r + 71. Calculate x*u(f) + 5*t(f).
5*f
Suppose 0*k - 4*k - 4*y - 8 = 0, -3*y - 30 = -5*k. Let h(s) = 3*s**3 + 3*s**2 - 3*s. Let m(a) = -3*a**3 - 4*a**2 + 4*a. Determine k*m(g) + 4*h(g).
3*g**3
Let f(w) = 3*w**3 - 6*w - 2. Let a(k) be the third derivative of -k**6/30 + 7*k**4/24 + k**3/3 - 385*k**2. Give -5*a(s) - 6*f(s).
2*s**3 + s + 2
Let k(h) = -h**2 + 5*h + 5. Suppose 5*c = 3*y + c + 26, -2*y + c = 19. Let z(o) be the second derivative of -1/2*o**2 + o - 1/6*o**3 + 0. Give y*z(p) - 2*k(p).
2*p**2
Let j(a) = -6*a + 2*a**3 + 2*a - 2*a + 84*a**2 - 5 - 80*a**2 + 1. Let s(u) = u**2 - u - 1. What is j(c) - 4*s(c)?
2*c**3 - 2*c
Let c(w) = -8729*w**3 - 174*w**2 + 174*w + 87. Let f(d) = -203*d**3 - 4*d**2 + 4*d + 2. Determine -4*c(h) + 174*f(h).
-406*h**3
Let z(q) = 6*q**3 + q**2 - 3*q. Let r(g) = -g**3 + g. Suppose -2*h = -x, x + 2*h = h + 3. Let y be (-3 + x)*(-15 + 16). Calculate y*z(b) - 5*r(b).
-b**3 - b**2 - 2*b
Let t(u) = -4*u - 3. Let q be t(-2). Let a(y) = -7 - 4*y - 1 - 3*y. Let n(r) = -3 + 2 + 1 + 61*r + 1 - 60*r. What is q*n(d) + a(d)?
-2*d - 3
Let w(l) be the second derivative of 17*l**3/6 - l**2 + 43*l - 2. Let b(f) = 6*f - 1. What is -8*b(s) + 3*w(s)?
3*s + 2
Let x(p) = -2*p - 7. Let d = -2 + -1. Let c(h) be the second derivative of 2*h**3/3 + 13*h**2/2 + 219*h. What is d*c(g) - 5*x(g)?
-2*g - 4
Let y(x) = 48*x + 13. Let t(h) = -49*h - 17. Determine -2*t(k) - 3*y(k).
-46*k - 5
Suppose 53 = 3*t + 20. Let q(b) = -b**2 - 5*b. Let s(f) = 5*f**2 + 26*f. Give t*q(g) + 2*s(g).
-g**2 - 3*g
Let m(u) be the first derivative of -2*u - 1/2*u**2 + 29. Let n(q) = 1. What is 3*m(d) + 6*n(d)?
-3*d
Let k(v) = v - 1. Let l(c) = -7*c**2 - c - 11. Let t(p) = -6*p**2 - p - 9. Let q(i) = 5*l(i) - 6*t(i). Give -3*k(w) + 2*q(w).
2*w**2 - w + 1
Suppose 0 = -2*m + 7 - 3. Let z(f) = -3*f + 0*f + 3 - m. Let n(x) = x**2 - x + 1. Suppose 3*p - 1 = 20*d - 24*d, -3*p = 2*d + 1. Calculate p*z(i) + n(i).
i**2 + 2*i
Let u(a) = -49*a**3 - 5*a**2 - 2*a + 5. Let x(g) = -24*g**3 - 2*g**2 - g + 2. Give 2*u(r) - 5*x(r).
22*r**3 + r
Let r(t) = -80 - 4*t + 21 + 5*t**2 + 63. Let j(u) = -24*u**2 + 21*u - 21. What is 4*j(q) + 21*r(q)?
9*q**2
Let v = 382 - 386. Let y(s) = 6*s**2 - 3. Let r(b) = -b**2 + b + 1. Give v*r(j) - y(j).
-2*j**2 - 4*j - 1
Let r(w) = 1. Let z(d) = -71*d + 4. Calculate 4*r(b) - z(b).
71*b
Let u(i) = 6*i**2 - 5*i + 9. Let l(x) = 1 + 5 + 2 - 3 + 3*x**2 - 3*x. Determine -5*l(o) + 3*u(o).
3*o**2 + 2
Let q(c) = 8*c - 7. Let n(s) = s - 1. Let i be ((-68)/20 + 3)*15. Determine i*n(k) + q(k).
2*k - 1
Let k(q) = -890*q**3 + 15*q. Let h(t) = 127*t**3 - 2*t. What is -15*h(s) - 2*k(s)?
-125*s**3
Let i = 1410 - 1564. Let p(h) = 8*h**3 - 3*h. Let v(j) = 209*j**3 - 77*j. What is i*p(g) + 6*v(g)?
22*g**3
Let f(g) = -5*g + 7. Let b(l) = 8*l - 7. Determine -2*b(r) - 3*f(r).
-r - 7
Let r(k) = -k**2 - 8*k - 9. Let g be r(-6). Let x(l) = -6*l + 3. Let f(y) = 7*y - 4. What is g*f(n) + 4*x(n)?
-3*n
Let z(i) = 125*i**2 + 5*i + 12. Let k(g) = -250*g**2 - 9*g - 22. Give 6*k(t) + 11*z(t).
-125*t**2 + t
Let a(l) = -15*l - 194 + 57*l + 95 + 93. Let c(q) = 14*q - 2. Calculate -3*a(y) + 8*c(y).
-14*y + 2
Let c = -31 + 44. Let a = -8 + c. Let u be 4/2 + 2/(-2). Let j(o) = -2*o + 6. Let d(x) = -1. Calculate a*d(g) + u*j(g).
-2*g + 1
Let t(c) = c + 4. Let m(x) = -6 - 15*x + 2 + 14*x + 0 + 3. Calculate m(y) - t(y).
-2*y - 5
Let y(z) = -9*z + 70. Let h(s) = 10*s - 71. Calculate -4*h(f) - 5*y(f).
5*f - 66
Let i(b) = -b**2 + 3*b. Let t(k) = 26*k - 76*k + 29*k + 22*k. What is 2*i(q) - 4*t(q)?
-2*q**2 + 2*q
Let l(r) = -14*r**3 + 58*r**2 - 22*r - 11. Let x(b) = -7*b**3 + 30*b**2 - 12*b - 6. What is -6*l(u) + 11*x(u)?
7*u**3 - 18*u**2
Let b(n) = 49*n**3 + 6*n**2 + 7*n - 2. Let m(o) = 49*o**3 + 4*o**2 + 6*o - 1. Calculate -2*b(j) + 3*m(j).
49*j**3 + 4*j + 1
Let c = -186 - -182. Let w(r) = r**2 + 4*r - 3. Let z(q) be the third derivative of q**5/60 + q**4/8 - q**3/3 - 6*q**2. Give c*w(y) + 6*z(y).
2*y**2 + 2*y
Let a(i) = -45*i + 6. Let k(g) = 8*g - 1. Give -6*a(d) - 34*k(d).
-2*d - 2
Let q(j) = 2*j**2 + 5*j - 3. Let o(f) = 4*f**2 + 6*f - 4. What is -4*o(n) + 5*q(n)?
-6*n**2 + n + 1
Let b(h) = 23*h + 65. Let o(j) = 19*j + 66. What is 5*b(v) - 6*o(v)?
v - 71
Let u(w) = -64*w + 129*w - 63*w + 3. Let q(t) = -t - 1. Let l be -1*((-14)/18 + 22/(-99)). Give l*q(i) + u(i).
i + 2
Let u(r) = -r**2 + r - 2. Let o(f) = -22*f**2 - f + 9. Determine -o(w) - u(w).
23*w**2 - 7
Let t(s) = 2*s**3 + 4*s**2 - 49*s - 1. Let y(z) = 2*z**3 + 3*z**2 - 48*z - 1. Determine -4*t(c) + 5*y(c).
2*c**3 - c**2 - 44*c - 1
Let t(r) = 2*r**2 + 17*r + 1. Let c(a) = -2*a - 1. Let g(k) = c(k) + t(k). Let j(u) = -u. Calculate -g(z) - 4*j(z).
-2*z**2 - 11*z
Let f(m) = 37*m**2 - 16*m - 12. Let b(q) = 4*q**2 - q - 2. Give -5*b(z) + f(z).
17*z**2 - 11*z - 2
Let f(h) = -h**2 - 2*h + 1. Let i(z) be the first derivative of z**3/3 + 3*z**2/2 - z - 200. Let m = -10 - -15. What is m*f(o) + 3*i(o)?
-2*o**2 - o + 2
Let r = -5555 - -5550. Let j(l) = -4*l - 7. Let s(d) be the first derivative of 3*d**2 + 11*d - 1. Determine r*s(z) - 8*j(z).
2*z + 1
Let r(z) = 3*z + 16. Let y(p) = -2*p - 17. Give 3*r(c) + 2*y(c).
5*c + 14
Let x(l) = -3*l**2 + 7*l + 1. Let q(u) be the first derivative of -u**3/3 + u**2 - 122. Determine -14*q(d) + 4*x(d).
2*d**2 + 4
Let y(h) = 11*h**3 + 9*h**2 + 12*h - 7. Suppose 0 = -3*s + 13 + 8. Let x(p) = -5*p**3 - 4*p**2 - 6*p + 3. Determine s*x(k) + 3*y(k).
-2*k**3 - k**2 - 6*k
Let q(g) = 23*g**3 + 5*g**2 + 5*g + 5. Let h(b) = -25*b**3 - 6*b**2 - 6*b - 6. Calculate 5*h(r) + 6*q(r).
13*r**3
Let z(u) = 8*u**3 + 39*u**2 - 9*u - 9. Let a(d) = -d**3 + d + 1. Determine 18*a(b) + 2*z(b).
-2*b**3 + 78*b**2
Let y(b) = b**2 - 26*b - 4. Let k(v) = -v**2 + 1. What is 3*k(f) + y(f)?
-2*f**2 - 26*f - 1
Let o(g) = g**2 - g - 1. Let z be 2 - 3 - 2/2. Let q(r) = -3. Let s = -90 - -138. Suppose s*j - 46* | {
"pile_set_name": "DM Mathematics"
} |
b of sequence dd?
1/57
Calculate prob of sequence jtfo when four letters picked without replacement from ffhjgot.
1/420
Calculate prob of sequence jw when two letters picked without replacement from hiihhihcjgiwihhchhig.
1/380
Two letters picked without replacement from {y: 11, e: 9}. Give prob of sequence ey.
99/380
Three letters picked without replacement from {m: 6, r: 2, g: 2, y: 2}. What is prob of sequence ggr?
1/330
What is prob of sequence trrr when four letters picked without replacement from {t: 4, r: 16}?
112/969
Calculate prob of sequence hh when two letters picked without replacement from {h: 2, l: 1, g: 1, p: 4}.
1/28
Calculate prob of sequence hhhh when four letters picked without replacement from {h: 6}.
1
Three letters picked without replacement from ieyunju. What is prob of sequence uju?
1/105
Three letters picked without replacement from {b: 3, k: 12}. Give prob of sequence bkb.
12/455
Two letters picked without replacement from tztqttcqfitq. What is prob of sequence qz?
1/44
What is prob of sequence qdrj when four letters picked without replacement from {q: 1, j: 1, f: 1, r: 1, d: 1}?
1/120
What is prob of sequence vv when two letters picked without replacement from {v: 5}?
1
What is prob of sequence ddd when three letters picked without replacement from wwdwwdwd?
1/56
Calculate prob of sequence nnyn when four letters picked without replacement from {y: 8, n: 3}.
1/165
Two letters picked without replacement from ohwhthhoophhhhthhht. What is prob of sequence ho?
11/114
Calculate prob of sequence zs when two letters picked without replacement from {g: 1, z: 2, b: 4, y: 2, s: 2, x: 3}.
2/91
Four letters picked without replacement from rurrruruuruuruuurrr. What is prob of sequence urur?
45/646
What is prob of sequence uhch when four letters picked without replacement from {h: 6, c: 1, u: 6, e: 4}?
3/952
Three letters picked without replacement from {l: 11, j: 2, u: 7}. Give prob of sequence jll.
11/342
Three letters picked without replacement from ntbnkzr. What is prob of sequence ktr?
1/210
Calculate prob of sequence kn when two letters picked without replacement from {k: 1, n: 1, o: 2}.
1/12
Two letters picked without replacement from ctdsnvstdttd. Give prob of sequence sd.
1/22
Four letters picked without replacement from {d: 2, e: 2, w: 2}. What is prob of sequence ewdw?
1/45
What is prob of sequence mwh when three letters picked without replacement from wjcvmwch?
1/168
Two letters picked without replacement from dpdddpd. Give prob of sequence dd.
10/21
What is prob of sequence xmuo when four letters picked without replacement from {a: 10, m: 3, t: 1, o: 2, u: 1, x: 2}?
1/7752
What is prob of sequence eew when three letters picked without replacement from {e: 9, w: 7}?
3/20
Calculate prob of sequence ve when two letters picked without replacement from {s: 3, e: 1, j: 3, v: 11, l: 1}.
11/342
Three letters picked without replacement from {t: 9, s: 2}. Give prob of sequence sts.
1/55
What is prob of sequence bby when three letters picked without replacement from lryulbbyf?
1/126
Four letters picked without replacement from wwrwrrwrrwwww. Give prob of sequence wwww.
14/143
Three letters picked without replacement from urrrrtttuhurttt. What is prob of sequence uth?
3/455
Calculate prob of sequence gm when two letters picked without replacement from {n: 6, l: 1, g: 3, m: 2, i: 2, h: 1}.
1/35
Two letters picked without replacement from {q: 3, r: 12}. Give prob of sequence rq.
6/35
Calculate prob of sequence kspp when four letters picked without replacement from pkspppppppppppppppp.
1/342
Three letters picked without replacement from {i: 1, w: 1, n: 3}. What is prob of sequence nni?
1/10
What is prob of sequence px when two letters picked without replacement from pxxppx?
3/10
Two letters picked without replacement from hhcccchpbhp. What is prob of sequence cc?
6/55
What is prob of sequence wxod when four letters picked without replacement from wodzyxzzoyzoxow?
2/4095
What is prob of sequence se when two letters picked without replacement from ssmes?
3/20
What is prob of sequence rr when two letters picked without replacement from {r: 4, q: 2}?
2/5
Two letters picked without replacement from {b: 9, l: 11}. Give prob of sequence lb.
99/380
What is prob of sequence iiii when four letters picked without replacement from iiiiiiiiii?
1
What is prob of sequence ksa when three letters picked without replacement from ksska?
1/15
Three letters picked without replacement from {s: 6, e: 2, o: 4, w: 3, k: 2}. Give prob of sequence wew.
1/340
Three letters picked without replacement from szxbzzssssxzs. Give prob of sequence xzb.
2/429
Two letters picked without replacement from tuututtuuutu. What is prob of sequence tt?
5/33
Four letters picked without replacement from {m: 3, r: 2, h: 1, n: 6, u: 1}. Give prob of sequence hrnu.
1/1430
Calculate prob of sequence wd when two letters picked without replacement from {i: 3, w: 4, d: 4, l: 5}.
1/15
What is prob of sequence fw when two letters picked without replacement from wypiylpywypppyypifp?
1/171
What is prob of sequence qqqq when four letters picked without replacement from qqaqaqqqq?
5/18
Four letters picked without replacement from bbhtctt. What is prob of sequence bttt?
1/70
Calculate prob of sequence uyue when four letters picked without replacement from ssyuyuuusyeuuy.
5/1001
Calculate prob of sequence jqj when three letters picked without replacement from jjqjjjjjjjjqjqjjjj.
35/272
Calculate prob of sequence xwm when three letters picked without replacement from aexwemy.
1/210
What is prob of sequence nn when two letters picked without replacement from {h: 4, n: 16}?
12/19
Three letters picked without replacement from {l: 4, k: 7}. Give prob of sequence kll.
14/165
Four letters picked without replacement from jfjfjfj. Give prob of sequence jfff.
1/35
What is prob of sequence dlle when four letters picked without replacement from {l: 3, e: 1, d: 3}?
3/140
Calculate prob of sequence fmxp when four letters picked without replacement from fmmxxxpxxpfkfxxxxxxx.
2/1615
Calculate prob of sequence czx when three letters picked without replacement from xaaycxz.
1/105
Three letters picked without replacement from bbbcbbdcdbbb. What is prob of sequence cbd?
4/165
Two letters picked without replacement from zmwwzmzmzzmwwzz. Give prob of sequence wm.
8/105
Calculate prob of sequence zzz when three letters picked without replacement from {z: 1, g: 3, k: 4}.
0
Two letters picked without replacement from {o: 7, f: 12}. What is prob of sequence ff?
22/57
Calculate prob of sequence irs when three letters picked without replacement from rssssir.
4/105
Three letters picked without replacement from {r: 1, k: 1, m: 1, i: 1, v: 1}. What is prob of sequence ikv?
1/60
What is prob of sequence vttv when four letters picked without replacement from {t: 3, v: 9}?
2/55
Four letters picked without replacement from {d: 8, b: 11, c: 1}. Give prob of sequence dddd.
14/969
Three letters picked without replacement from ivvviiiiiii. What is prob of sequence vii?
28/165
Three letters picked without replacement from {c: 5, y: 2}. Give prob of sequence ycc.
4/21
Four letters picked without replacement from fvkfvkkbfffkv. Give prob of sequence bvvv.
1/2860
Two letters picked without replacement from fznsnnvvnnnfnsvnfng. Give prob of sequence vv.
1/57
Calculate prob of sequence mm when two letters picked without replacement from {m: 6, n: 3, f: 4}.
5/26
What is prob of sequence kkjj when four letters picked without replacement from {k: 11, j: 3}?
5/182
What is prob of sequence lv when two letters picked without replacement from {a: 2, f: 1, v: 1, d: 5, n: 3, l: 1}?
1/156
Calculate prob of sequence vvz when three letters picked without replacement from {z: 2, v: 12, y: 1, g: 4}.
44/969
What is prob of sequence vx when two letters picked without replacement from {f: 2, x: 5, v: 2}?
5/36
Calculate prob of sequence tt when two letters picked without replacement from ptbtttbtttttbtp.
3/7
Two letters picked without replacement from {x: 3, r: 1, i: 3, o: 3}. What is prob of sequence io?
1/10
What is prob of sequence attn when four letters picked without replacement from nwtttawwww?
1/840
Four letters picked without replacement from | {
"pile_set_name": "DM Mathematics"
} |
r 397?
397
Which is greater: 168 or 164?
168
Is -531 < 0.1?
True
Which is bigger: 1 or -2499?
1
Which is smaller: 127 or 126?
126
Is 1 greater than 2/18751?
True
Is -2/3 less than -7?
False
Are -529 and 1 unequal?
True
Which is greater: -425 or -451?
-425
Which is smaller: -2 or -60/23?
-60/23
Is -528 less than -528?
False
Which is smaller: -6/433 or 1?
-6/433
Is 1/542 at least -1?
True
Which is bigger: -1659 or -1658?
-1658
Which is greater: -1 or 2/16003?
2/16003
Which is smaller: 0 or -4?
-4
Which is greater: 5 or -74?
5
Is -115 != 2?
True
Which is smaller: 293 or 28?
28
Which is smaller: -4370 or -39340/9?
-39340/9
Which is bigger: -39 or -52?
-39
Which is bigger: -445/9 or -48?
-48
Does -1/84 = 3?
False
Which is smaller: 379 or 371?
371
Which is bigger: -191/5 or -39?
-191/5
Which is bigger: 0.01 or 0.15?
0.15
Which is greater: -2/37 or -50?
-2/37
Is -852 < -852?
False
Which is greater: 38 or 10?
38
Which is bigger: -2/7 or 27910?
27910
Which is smaller: -345 or -360?
-360
Is 2843 smaller than 0?
False
Is -1 equal to 54?
False
Which is bigger: 48 or -1?
48
Which is smaller: -1956 or -1952?
-1956
Are 9 and -206 nonequal?
True
Is 154 bigger than 4?
True
Is 2/83 < 0?
False
Is -1/389 smaller than -1?
False
Do -483/2 and -242 have different values?
True
Is -12065/7 smaller than -1724?
False
Which is greater: 20 or -84?
20
Which is smaller: 471 or 472?
471
Is -2312 at least as big as -2313?
True
Are 0.184 and 0.1 equal?
False
Is 272 at least as big as -3?
True
Is 4/10291 smaller than 1?
True
Which is smaller: -28 or 89?
-28
Are -3/7 and 0.34 equal?
False
Does 91 = 1289/14?
False
Is 128 smaller than 173?
True
Do 0 and 37409 have the same value?
False
Which is smaller: -725 or -723?
-725
Which is bigger: -31/11 or 1/2?
1/2
Which is greater: -6/161 or -1?
-6/161
Which is bigger: 197 or 199?
199
Is -2.3 >= -13/22?
False
Are -0.1 and -20056 non-equal?
True
Is -279 at most -1/13?
True
Is -6 less than -79/16?
True
Which is bigger: 1/20990 or -1?
1/20990
Is -1189 != -1188?
True
Which is bigger: -10290 or -10289?
-10289
Which is smaller: -0.945 or -0.1?
-0.945
Is 0 > -6/1885?
True
Is 40 bigger than 42?
False
Which is bigger: 280 or 278?
280
Which is bigger: -7/351 or 0?
0
Is 553 >= 551?
True
Which is smaller: 67/11 or 7?
67/11
Which is bigger: -163/6 or -26?
-26
Which is smaller: -257 or 1?
-257
Which is smaller: 55 or 49?
49
Which is greater: 6 or 157/23?
157/23
Which is smaller: -16 or 2/11?
-16
Which is smaller: 100/399 or 0?
0
Is 307 less than or equal to 3/4?
False
Is 1061 equal to 1059?
False
Which is greater: -21 or -16/33?
-16/33
Is 2 at most -23.2?
False
Which is smaller: -5/913 or 0?
-5/913
Which is bigger: -0.3 or -341?
-0.3
Which is smaller: 1/5 or 2?
1/5
Which is smaller: -9234 or -9231?
-9234
Which is bigger: -1 or 3/6686?
3/6686
Which is greater: -9055 or -9056?
-9055
Which is smaller: 0 or -158/209?
-158/209
Is -100 smaller than 1?
True
Which is greater: -8 or -2/13?
-2/13
Which is smaller: 1 or 15?
1
Which is greater: -1061 or -1062?
-1061
Which is smaller: -45 or -28?
-45
Which is greater: -8 or -79/11?
-79/11
Is 0 greater than -2/791?
True
Which is smaller: -28 or -0.01?
-28
Which is bigger: -10491 or 0.3?
0.3
Is 0 >= 5/526?
False
Is -2/79 != -83?
True
Which is smaller: -908 or -909?
-909
Which is bigger: 0 or -1/255?
0
Which is smaller: 24 or 101/4?
24
Which is smaller: 4332 or 4333?
4332
Which is greater: -0.029 or -80?
-0.029
Is -4/39 smaller than -1?
False
Which is smaller: -541 or -1?
-541
Is -0.1 >= 2/11?
False
Is 0.5801 equal to 1?
False
Is 7 less than -1.115?
False
Is -1173 not equal to -1174?
True
Does 64/7 = 9?
False
Which is smaller: -0.1 or -2782?
-2782
Is 0.1 less than 2/5?
True
Is 5085 at most as big as 5085?
True
Are 163/4 and 2 equal?
False
Is 375 greater than 376?
False
Which is smaller: 14/27 or -0.09?
-0.09
Which is smaller: -105 or -103?
-105
Is 4/2471 at most -1?
False
Is -7/8 bigger than -6?
True
Is -6 at least -15?
True
Is 0 < 134?
True
Is -470 at least -470?
True
Is -10415/2 < -5209?
False
Which is greater: -448/5 or -90?
-448/5
Which is greater: 4282 or 4281?
4282
Is -2 at most as big as -0.98?
True
Is 10 greater than 0.379?
True
Does -2/5 = -1083?
False
Which is smaller: 12 or 13?
12
Is 210 at least 231?
False
Which is bigger: 3/148 or -1?
3/148
Is -4575 not equal to -13721/3?
True
Which is smaller: -270 or -17?
-270
Which is smaller: 34 or 407/12?
407/12
Does -50 = -44?
False
Which is bigger: -6 or -25?
-6
Is -10 at most as big as 281?
True
Which is smaller: 2/60423 or -1?
-1
Which is smaller: -102 or -100?
-102
Is -283 > -3120/11?
True
Which is greater: 2 or -0.269?
2
Are 0 and 4/429 equal?
False
Which is smaller: -1/27 or 0?
-1/27
Which is greater: 5 or 1/6?
5
Is 435/13 bigger than 34?
False
Which is smaller: 69/40 or 3?
69/40
Is -10681 smaller than -10681?
False
Which is smaller: -8980 or -2/7?
-8980
Which is smaller: 1 or 750.5?
1
Is -1 not equal to -86/287?
True
Is 1166 greater than 1168?
False
Which is greater: 1864 or 1854?
1864
Is 284 not equal to 6.4?
True
Which is bigger: -251 or -1/32?
-1/32
Which is smaller: 0 or 76/823?
0
Are 151 and 151 non-equal?
False
Which is smaller: 8.6 or 2/21?
2/21
Is 72 equal to 43?
False
Is 1 bigger than 1/3378?
True
Is -101/2 equal to -50?
False
Is 366 greater than or equal to 366?
True
Is 73 <= 0?
False
Which is greater: 328 or 327?
328
Is -52 < -59?
False
Is 3 at most 104/33?
True
Is 0.3 smaller than 2/5811?
False
Which is greater: 5/4036 or 1?
1
Does -1/2 = -1570?
False
Is 166 < 168?
True
Is 7563 at least 7561?
True
Which is bigger: -2/5351 or 1?
1
Is -2 at least -9/5?
False
Do 12/43 and 1 have the same value?
False
Are -1 and -28/99 nonequal?
True
Which is greater: 17639 or 17640?
17640
Which is bigger: 3/256 or -2?
3/256
Is -11/678 at most -1?
False
Which is bigger: 0 or 2/15417?
2/15417
Which is smaller: 1 or -120/1237?
-120/1237
Which is bigger: -1 or -33/40?
-33/40
Which is smaller: -7640 or -7641?
-7641
Which is smaller: -1 or 32/163?
-1
Are 147 and 34 non-equal?
True
Does -131 = 56?
False
Is 260 greater than 261?
False
Is -1278 not equal to -3835/3?
True
Which is greater: 340 or 341?
341
Which is smaller: -209 or -211?
-211
Which is bigger: 1 or 89?
89
Which is bigger: -96 or -52?
-52
Do -990 and -989 have different values?
True
Which is smaller: -154 or -307/2?
-154
Is -214 bigger than -214?
False
Do -4 and -230 have different values?
True
Is 11718 at most as big as 11718?
True
Which is bigger: 67 or -22?
67
Which is greater: -2/17981 or 1?
1
Is -1/498 at most as big as 0?
True
Is -514 less than -514?
False
Which is greater: 0.1 or 506.8?
506.8
Which is smaller: -2/3 or 533?
-2/3
Which is smaller: 22/123 or -1?
-1
Which is bigger: -13007 or 0?
0
Are -7 and 1025 nonequal?
True
Which is bigger: -1148/3 or -383?
-1148/3
Do 0.17 and 104 have different values?
True
Which is smaller: 12.38 or -1/3?
-1/3
Is -24/17 bigger than -2?
True
Which is greater: -532 or 2?
2
Do -880/3 and -294 have the same value?
False
Which is smaller: -2/611 or 0?
-2/611
Is -1367 greater than or equal to 2?
False
Is 2/7 at most as big as -314?
False
Is 5.32 bigger than -1?
True
Which is greater: -8/781 or 0?
0
Which is smaller: -3/71 or -1?
-1
Is -1459 > -1459?
False
Is 1123/2 bigger than 562?
False
Is 94 smaller than 101?
True
Is -0.0602 at most as big as 0?
True
Which is greater: 1244 or 1243?
1244
Which is smaller: -3 or -192/61?
-192/61
Which is bigger: -1341 or -1343?
-1341
Is 1323 at most as big as 1322?
False
Is 24.2 less than or equal to 0?
False
Which is bigger: -4 or 0?
0
Which is bigger: 254 or 2278/9?
254
Is -0.4 != 1?
True
Which is smaller: -15829 or -15828?
-15829
Is 1848 less than 1847?
False
Is 2 equal to 119.3?
False
Which is smaller: 13 or 11?
11
Is -50 less than -4?
True
Which is smaller: 356 or 354?
354
Is -1 <= 9/347?
True
Does 1 = 5/1649?
False
Is 677.9 != -1/2?
True
Which is smaller: 1 or 1/38?
1/38
Is -125 less than -125?
False
Which is smaller: -2/5 or -0.0273?
-2/5
Which is smaller: 16 or 6?
6
Which is bigger: 76 or 85?
85
Which is smaller: -103 or -0.3?
-103
Is 265 at most 3?
False
Are 1 and 1/961 unequal?
True
Is 6.37 at least 2/3?
True
Do 1/260 and 1 have the same value?
False
Do 1 and -1/10042 have different values?
True
Is 0 less than -42/937?
False
Is | {
"pile_set_name": "DM Mathematics"
} |
3*r**3 - r**2
Let b(k) = k**2 - 11*k + 25. Let u be b(6). Let g(j) = -4*j**3 + 4*j**2 + 4*j - 4. Let h(f) = 4*f**3 - 5*f**2 - 5*f + 5. Determine u*g(p) - 4*h(p).
4*p**3
Let i(d) = 30*d + 25. Let v(k) = -5*k - 2 + 4 - 6. Determine -4*i(n) - 25*v(n).
5*n
Let o(w) = w - 1. Let a(r) = -r**2 - 3*r + 4. Suppose 2*u + 3*u = -15. Give u*o(c) - a(c).
c**2 - 1
Let o(x) = 4*x**2 + 2*x**2 - 8 + 1 + 0. Let v(r) = r**2 - 1. Calculate 3*o(t) - 21*v(t).
-3*t**2
Suppose 0 = 5*a - 4*a + 2, d + a + 7 = 0. Let r(l) = -3*l + 2. Let k(p) = 3*p - 2. What is d*k(w) - 4*r(w)?
-3*w + 2
Suppose 0 = -2*m - 2 - 0. Let v(u) = -u - 1. Let z(p) = 6*p + 6. What is m*z(d) - 5*v(d)?
-d - 1
Let q(b) = -476*b**2 - 51. Let i(l) = 19*l**2 + 2. Determine -51*i(c) - 2*q(c).
-17*c**2
Let a(n) = 98*n. Let h(z) = -z. Calculate -a(q) + 8*h(q).
-106*q
Let m(t) = -2 + 0 + t - 3*t. Let k be ((-1)/(-3) - 0)*-15. Suppose -7*x + 2*x = 10. Let p(o) = 4*o + 4. Determine k*m(c) + x*p(c).
2*c + 2
Let m(n) be the second derivative of n**3/6 - n**2 + n + 20. Let o(u) = 3. Calculate -4*m(y) - 3*o(y).
-4*y - 1
Let z(a) = 6*a + 5. Let x(y) be the second derivative of 2*y**2 + 5/6*y**3 + 0 + y. Let f be (-4)/10 + 12/(-20) + 5. Give f*z(q) - 5*x(q).
-q
Let l(b) = -9*b**3 - 7*b**2 + 9*b - 9. Let d(u) = -5*u**3 - 3*u**2 + 4*u - 4. Determine 5*d(q) - 2*l(q).
-7*q**3 - q**2 + 2*q - 2
Let q = 11 + -12. Let l be 6/(-27)*3*3. Let h(d) = d**3 - d. Let g(b) = -3*b**3 + 2*b. What is l*h(r) + q*g(r)?
r**3
Let h(q) = 41*q + 2. Let d(n) = 61*n + 3. Calculate -5*d(c) + 7*h(c).
-18*c - 1
Let g(s) = -6*s**2. Let l(x) = 2*x**2. What is g(o) + 6*l(o)?
6*o**2
Let t(o) = -o**3 - o**2 + o + 1. Suppose -2*j = -3*r + 4*r + 3, 4*j + 8 = 0. Let w(s) = -7*s**3 - 6*s**2 + 5*s + 6. Give r*w(x) - 6*t(x).
-x**3 - x
Let r(s) = 2*s + 7. Let k(x) = x. What is 4*k(z) - r(z)?
2*z - 7
Let u(p) = p**2 - 20*p - 72. Let o be u(23). Let g(q) = -8*q**3. Let d(t) = -7*t**3. Determine o*g(j) + 4*d(j).
-4*j**3
Let p(t) = t - 1. Let x(l) = 24*l - 21. Determine -84*p(h) + 4*x(h).
12*h
Let z(p) = -3*p - 5. Let g(b) = -b - 2. Let c(a) = -8*g(a) + 3*z(a). Let t(s) = -s + 1. Calculate 2*c(h) - 3*t(h).
h - 1
Let c(f) = 6*f + 41. Let m be c(-6). Let s(u) = 9*u + 5. Let t(a) = -1. Let h(l) = s(l) - 2*t(l). Let j(o) = -4*o - 3. Calculate m*j(b) + 2*h(b).
-2*b - 1
Let h(b) = -b**2 + b + 1. Let k(i) = -7*i**2 + 6*i + 6. Suppose 2 = r + 2*x, -11 = -3*r - 4*x - 1. Determine r*h(o) - k(o).
o**2
Let z(v) = -6*v**3 + 5*v**2 - 5*v. Let i be (-197)/3 + 11/(-33). Let m be i/(-14) + (-4)/(-14). Let o(x) = -7*x**3 + 6*x**2 - 6*x. Determine m*o(t) - 6*z(t).
t**3
Let c = -37 - -40. Let z(b) = -2*b**2 - b - 1. Suppose -27 + 7 = -4*r. Let x(q) = 4*q**2 + 2*q + 1. Give c*x(d) + r*z(d).
2*d**2 + d - 2
Suppose 0*t - 2*t = -2, -5*g + 7 = -3*t. Let o(l) = -l**2 - l + 3. Let u(j) = -2*j**2 - 3*j + 7. Determine g*u(c) - 5*o(c).
c**2 - c - 1
Let s(z) = -13*z - 13. Let p(b) be the second derivative of 2*b**3/3 + 2*b**2 - 22*b. Calculate 7*p(k) + 2*s(k).
2*k + 2
Let v(h) = -31*h - 7. Let p(n) = -15*n - 3. Calculate -5*p(g) + 2*v(g).
13*g + 1
Let x(l) = -851*l**3 - 69*l**2 + 69. Let h(s) = -50*s**3 - 4*s**2 + 4. Calculate 69*h(q) - 4*x(q).
-46*q**3
Let v(w) = 4*w**3 - w**2 + 2. Let q(z) = z**2. Determine 2*q(c) + v(c).
4*c**3 + c**2 + 2
Let r(n) = 19*n**3 + 3*n**2 + 3*n - 3. Let k(m) = -58*m**3 - 8*m**2 - 8*m + 8. Give -3*k(z) - 8*r(z).
22*z**3
Let i(u) = -u**3 + 1. Let z(p) = 15*p**3 + 3*p - 6. Give -6*i(a) - z(a).
-9*a**3 - 3*a
Let b(r) = r**3 + r - 1. Let m(s) = -s**3 + s + 1. Let z(y) = -6*y**3 - 8*y + 5. Let d(o) = -2*m(o) - z(o). Determine 6*b(n) - d(n).
-2*n**3 + 1
Let v(q) = -q - 1. Let t(y) = y**3 + y**2 + 4*y - 2. Give t(j) + 4*v(j).
j**3 + j**2 - 6
Let v(i) = 2*i + 2. Let b(f) = -f**2 - 12*f - 5. Let d be b(-12). Let j(w) = 2*w + 2. Give d*j(x) + 6*v(x).
2*x + 2
Let b(k) = 5*k + 3. Let z(q) = 1. Let r(t) = 4*t + 1. Let w(a) = -r(a) - z(a). Let x(o) = 2*o - 2. Let f be x(6). Let d be 4/f + 52/20. Give d*w(h) + 2*b(h).
-2*h
Let t(n) = 13*n**2 - 13*n + 13. Let s(u) = 14*u**2 - 13*u + 12. Let q(l) = -4*s(l) + 3*t(l). Let v(d) = 9*d**2 - 7*d + 5. Determine 6*q(h) + 11*v(h).
-3*h**2 + h + 1
Let b(r) = 34*r**2 - 3. Let z(n) = -n**2 - 1. Give b(d) - 4*z(d).
38*d**2 + 1
Let v = 6 + -1. Let t(y) be the first derivative of -y**2/2 - 7. Let i(f) = f. Give v*t(m) + 4*i(m).
-m
Let s(y) = -y**3 - y**2 - 1. Let u(t) = -4*t**3 + 3*t**2 + 3. Calculate -3*s(c) - u(c).
7*c**3
Let d(v) = -v**2 + v. Let i(r) = r**2 - 4*r. Calculate 6*d(z) + 3*i(z).
-3*z**2 - 6*z
Let n(x) = 2*x - 1. Let l(c) be the second derivative of -c**3/2 + c**2/2 - 3*c. Calculate -5*l(h) - 6*n(h).
3*h + 1
Let o be (-160)/(-26) + (-4)/26. Let l(a) = -a - 6. Let p(z) = 3. Determine o*p(s) + 3*l(s).
-3*s
Let u(t) = 4*t**2 + 7. Let o(g) = 2*g**2 - 3*g**2 - g**2 - 3. Let a(q) = -2 + 14*q + 2 - 15*q. Let c be a(2). Determine c*u(w) - 5*o(w).
2*w**2 + 1
Let s(j) = -11*j**2 + 2*j + 4. Let p(c) = -5*c**2 - c + 2*c + 2 + 0. Suppose 17 = 4*r - 19. Determine r*p(w) - 4*s(w).
-w**2 + w + 2
Let r(g) = 13*g**3 + 3*g**2 + 3*g. Let s(j) = -9*j**3 - 2*j**2 - 2*j. Give 5*r(x) + 7*s(x).
2*x**3 + x**2 + x
Let k(q) = -q - 10. Let i(x) = -3 - 5*x + 0*x + 4*x - 4. What is 7*i(u) - 5*k(u)?
-2*u + 1
Let t(i) = -61*i**3 - 6*i. Let w(z) = z**3 - z. Determine t(c) - 6*w(c).
-67*c**3
Let m(i) = 2*i + 1. Let z(d) = -d - 1. Let g be (9/(-6))/((-5)/10). Suppose 2*k - 3*k - 4*n - 3 = 0, g*k + n + 9 = 0. Give k*m(w) - 3*z(w).
-3*w
Let j(f) be the third derivative of -f**5/20 - f**4/8 - f**3/3 + f**2. Let b(i) = -i**3 + 7*i**2 + 7*i + 5. Let x = 20 - 18. Give x*b(t) + 5*j(t).
-2*t**3 - t**2 - t
Let v(o) = 2*o - 2. Let h be v(3). Let u(j) = 7*j + 3. Let w(a) = 11*a + 5. Let n(k) = -8*u(k) + 5*w(k). Let s(y) = -6*y + 3. Calculate h*n(b) - s(b).
2*b + 1
Let r(c) = -324*c**3 + 27*c**2 - 27*c. Let y(o) = -25*o**3 + 2*o**2 - 2*o. Calculate -2*r(n) + 27*y(n).
-27*n**3
Let g(x) = 7*x**3 + 11*x**2 + x. Let q(o) = -o**3 - o**2. Calculate g(l) + 6*q(l).
l**3 + 5*l**2 + l
Let c(b) = -7*b**3 + 8*b - 4. Suppose 6*h - 20 = 2*h. Let t(g) = 6*g**3 - 7*g + 3. Suppose -2*a + v + 1 = -6, 3*a + 4*v = 38. What is a*t(w) + h*c(w)?
w**3 - 2*w - 2
Let t(y) = -y**3 - 6*y**2 + y + 6. Let g(v) = v**2 - 1. Let n = -8 + 7. Calculate n*t(o) - 6*g(o).
o**3 - o
Let z(u) = -36*u**2. Let t(o) = -2*o**2 + 2*o**2 - 5*o**2 + 0*o**2. Determine -44*t(c) + 6*z(c).
4*c**2
Let x(c) = 13*c + 4. Let j(p) = -12*p - 3. Determine -4*j(b) - 3*x(b).
9*b
Let v(o) = -1343*o**3 - 119*o**2 - 119*o + 119. Let x(d) = 56*d**3 + 5*d**2 + 5*d - 5. What is 5*v(h) + 119*x(h)?
-51*h**3
Let z(g) = g + 1. Let b(s) = 18*s**3 - 8*s - 8. What is -3*b(q) - 24*z(q)?
-54*q**3
Let i(l) = 5*l**2 - 13*l - 13*l - 21*l + 51*l - 4. Let j(x) = 4*x**2 + 3*x - 3. Calculate -3*i(g) + 4*j(g).
g**2
Let i(q) = -11*q**2 - 2*q + 2. Let a(c) = 12*c**2 + 3*c - 3. What is 2*a(p) + 3*i(p)?
-9*p**2
Let n(m) = 6*m - 11. Let c(i) = -6*i + 22. Let w(j) = -2*j + 7. Let a(o) = 3*c(o) - 10*w(o). Calculate 11*a(k) - 4*n(k).
-2*k
Let a(j) = -j**2 - 7*j + 7. Suppose 5*u - 10 = 0, 4*w + 38 = u + 16. Let d(s) = -s**2 - 5*s + 5. What is w*a(r) + 7*d(r)?
-2*r**2
Let x(i) = -i. Let f(n) = 6*n + 2. Let k be (1 + 2)*(1 + 12/(-9)). Determine k*f(w) - 5*x(w).
-w - 2
Let j(n) = 121*n + 4. Let z(q) = 61*q + 2. Determine -6*j(g) + 13*z(g).
67*g + 2
Let f(p) = -9 - 29*p - 2*p**3 + 27*p - 11*p**3 - 7*p**2. Let q(j) = -6*j**3 - 3*j**2 - j - 4. Calculate 4*f(c) - 9*q(c).
2*c**3 - c**2 + c
Let u(q) = 7*q**3 - 11*q**2 + 7*q + 1. Let p(k) = 4*k**3 - 6*k**2 + 4*k + 1. Calculate -11*p(t) + 6*u(t).
-2*t**3 - 2*t - 5
Let u(q) = 2*q**2 + 4*q + 5. Let i(c) = -4 - c + 1 - c**2 + 2. Suppose -t + 1 = -0*t. Calculate t*u(h) + 4*i(h).
-2*h**2 + 1
Let w(v) = v. Let u(c) = c**2 + 2*c - 1. Let t(d) = -u(d) + w(d). Let s be t(1). Let m(j) = -j**2. Let l(p) = p**3 - 5*p**2 - 1. What is s*l(g) + 5*m(g)?
-g**3 + 1
Let x(m) = m**2 + m + 1. Let y(c) = -2*c**2 - 3*c - 8. Let b(j) = -j**2 - 2*j - 8. Let w(v) = 4*b(v) - 5*y(v). Calculate -2*w(n) + 14*x(n).
2*n**2 - 2
Let n(f) = f**2 + 4*f. Let h(p) = p**2 + 5*p. Let a(v) = v - 6. Let b be a(9). Suppose -c + 10 = -b*c. Determine c*n(d) + 4*h(d).
-d**2
Suppose -95 = -4*c + 77. Let o(z) = 43*z**2 - c*z**2 + z + z**3. Let a(u) = 4*u**3 + 4*u + 1 | {
"pile_set_name": "DM Mathematics"
} |
arest integer?
11
What is 33709 to the power of 1/2, to the nearest integer?
184
What is the ninth root of 66949 to the nearest integer?
3
What is the tenth root of 20161 to the nearest integer?
3
What is the square root of 10831 to the nearest integer?
104
What is the seventh root of 858 to the nearest integer?
3
What is 5621 to the power of 1/6, to the nearest integer?
4
What is 316 to the power of 1/2, to the nearest integer?
18
What is the cube root of 1603 to the nearest integer?
12
What is 20780 to the power of 1/6, to the nearest integer?
5
What is 8113 to the power of 1/8, to the nearest integer?
3
What is the square root of 966 to the nearest integer?
31
What is the square root of 351 to the nearest integer?
19
What is the square root of 2720 to the nearest integer?
52
What is the square root of 7 to the nearest integer?
3
What is the seventh root of 128716 to the nearest integer?
5
What is the seventh root of 42284 to the nearest integer?
5
What is 1994 to the power of 1/4, to the nearest integer?
7
What is 4797 to the power of 1/7, to the nearest integer?
3
What is the square root of 6000 to the nearest integer?
77
What is 25619 to the power of 1/3, to the nearest integer?
29
What is 67061 to the power of 1/2, to the nearest integer?
259
What is the third root of 60270 to the nearest integer?
39
What is the cube root of 44083 to the nearest integer?
35
What is 45375 to the power of 1/3, to the nearest integer?
36
What is the fourth root of 1870 to the nearest integer?
7
What is 60395 to the power of 1/2, to the nearest integer?
246
What is 12916 to the power of 1/2, to the nearest integer?
114
What is the tenth root of 4821 to the nearest integer?
2
What is 134 to the power of 1/3, to the nearest integer?
5
What is 5403 to the power of 1/2, to the nearest integer?
74
What is the sixth root of 27664 to the nearest integer?
5
What is the ninth root of 264 to the nearest integer?
2
What is the square root of 4802 to the nearest integer?
69
What is 35762 to the power of 1/3, to the nearest integer?
33
What is 21294 to the power of 1/6, to the nearest integer?
5
What is the third root of 72680 to the nearest integer?
42
What is 18781 to the power of 1/3, to the nearest integer?
27
What is the square root of 26342 to the nearest integer?
162
What is the square root of 562 to the nearest integer?
24
What is 465 to the power of 1/3, to the nearest integer?
8
What is 70 to the power of 1/8, to the nearest integer?
2
What is 1033 to the power of 1/7, to the nearest integer?
3
What is 3244 to the power of 1/3, to the nearest integer?
15
What is 297 to the power of 1/2, to the nearest integer?
17
What is the cube root of 4891 to the nearest integer?
17
What is the square root of 388 to the nearest integer?
20
What is the sixth root of 26996 to the nearest integer?
5
What is the fourth root of 298 to the nearest integer?
4
What is 3203 to the power of 1/7, to the nearest integer?
3
What is the third root of 10766 to the nearest integer?
22
What is 25036 to the power of 1/3, to the nearest integer?
29
What is the eighth root of 5312 to the nearest integer?
3
What is the square root of 13149 to the nearest integer?
115
What is 2713 to the power of 1/4, to the nearest integer?
7
What is the fifth root of 17802 to the nearest integer?
7
What is 3680 to the power of 1/3, to the nearest integer?
15
What is 2717 to the power of 1/2, to the nearest integer?
52
What is the sixth root of 13097 to the nearest integer?
5
What is the tenth root of 15438 to the nearest integer?
3
What is 8827 to the power of 1/3, to the nearest integer?
21
What is the third root of 4 to the nearest integer?
2
What is the square root of 5612 to the nearest integer?
75
What is 9284 to the power of 1/7, to the nearest integer?
4
What is 18024 to the power of 1/4, to the nearest integer?
12
What is 69 to the power of 1/2, to the nearest integer?
8
What is the eighth root of 37578 to the nearest integer?
4
What is the square root of 67416 to the nearest integer?
260
What is 130887 to the power of 1/7, to the nearest integer?
5
What is the square root of 809 to the nearest integer?
28
What is the square root of 4080 to the nearest integer?
64
What is 4429 to the power of 1/3, to the nearest integer?
16
What is the third root of 3611 to the nearest integer?
15
What is the square root of 4600 to the nearest integer?
68
What is 4234 to the power of 1/2, to the nearest integer?
65
What is the seventh root of 110959 to the nearest integer?
5
What is the cube root of 11205 to the nearest integer?
22
What is the square root of 1115 to the nearest integer?
33
What is 3328 to the power of 1/6, to the nearest integer?
4
What is the cube root of 157 to the nearest integer?
5
What is 546 to the power of 1/10, to the nearest integer?
2
What is the tenth root of 1801 to the nearest integer?
2
What is 58177 to the power of 1/3, to the nearest integer?
39
What is 3898 to the power of 1/3, to the nearest integer?
16
What is the third root of 4170 to the nearest integer?
16
What is 12877 to the power of 1/9, to the nearest integer?
3
What is the sixth root of 1356 to the nearest integer?
3
What is 5592 to the power of 1/3, to the nearest integer?
18
What is 845 to the power of 1/6, to the nearest integer?
3
What is the eighth root of 21417 to the nearest integer?
3
What is the ninth root of 622 to the nearest integer?
2
What is 7409 to the power of 1/2, to the nearest integer?
86
What is the sixth root of 13866 to the nearest integer?
5
What is 2617 to the power of 1/6, to the nearest integer?
4
What is 34985 to the power of 1/10, to the nearest integer?
3
What is 23829 to the power of 1/2, to the nearest integer?
154
What is the cube root of 265 to the nearest integer?
6
What is 34066 to the power of 1/2, to the nearest integer?
185
What is 11596 to the power of 1/8, to the nearest integer?
3
What is 8457 to the power of 1/3, to the nearest integer?
20
What is the sixth root of 3079 to the nearest integer?
4
What is the square root of 20924 to the nearest integer?
145
What is 4043 to the power of 1/10, to the nearest integer?
2
What is 5204 to the power of 1/3, to the nearest integer?
17
What is 15 to the power of 1/2, to the nearest integer?
4
What is the cube root of 3137 to the nearest integer?
15
What is the third root of 2432 to the nearest integer?
13
What is the seventh root of 1183 to the nearest integer?
3
What is the fifth root of 3984 to the nearest integer?
5
What is 26188 to the power of 1/3, to the nearest integer?
30
What is the cube root of 1793 to the nearest integer?
12
What is the fourth root of 17010 to the nearest integer?
11
What is the square root of 15439 to the nearest integer?
124
What is the sixth root of 52 to the nearest integer?
2
What is the eighth root of 782 to the nearest integer?
2
What is 3208 to the power of 1/6, to the nearest integer?
4
What is 82 to the power of 1/3, to the nearest integer?
4
What is the square root of 13048 to the nearest integer?
114
What is the seventh root of 186 to the nearest integer?
2
What is the sixth root of 6495 to the nearest integer?
4
What is the cube root of 71946 to the nearest integer?
42
What is the seventh root of 10692 to the nearest integer?
4
What is 11975 to the power of 1/4, to the nearest integer?
10
What is 849 to the power of 1/8, to the nearest integer?
2
What is 17386 to the power of 1/7, to the nearest integer?
4
What is 31330 to the power of 1/8, to the nearest integer?
4
What is 14021 to the power of 1/4, to the nearest integer?
11
What is 2869 to the power of 1/6, to the nearest integer?
4
What is the square root of 1734 to the nearest integer?
42
What is the tenth root of 66598 to the nearest integer?
3
What is the third root of 148982 to the nearest integer?
53
What is the sixth root of 8912 to the nearest integer?
5
What is 1076 to the power of 1/3, to the nearest integer?
10
What is the square root of 63245 to the nearest integer?
251
What is the third root of 69334 to the nearest integer?
41
What is the sixth root of 17973 to the nearest integer?
5
What is the third root of 896 to the nearest integer?
10
What is 3103 to the power of 1/2, to the nearest integer?
56
What is the square root of 4117 to t | {
"pile_set_name": "DM Mathematics"
} |
give l.
-31212
Express (0 + 166*d**2 + 431*d**3 + 0 - 166*d**2)*(0 - 2 + 10)*(4*d + 0 + 0) in the form h*d + c*d**3 + o*d**4 + w + x*d**2 and give o.
13792
Express 333*r**3 - 464*r**3 - 3*r**2 - r**2 + r**2 + 275*r**3 as g*r**2 + m*r**3 + w + a*r and give w.
0
Rearrange (-1 + 3 - 3)*(1 - 1 - x) + 61*x + 27*x - 21*x + x + 3 + 3 - 4 to the form g + w*x and give w.
69
Express (61*m - 61*m + 5*m**4)*((-1 + 0 - 1)*(-3 + 1 + 0) - 10 + 0 + 3)*(-2 - 1 + 2)*(0 + 0 + 1)*(2 + 2 + 0) as u*m**2 + k + c*m + t*m**3 + x*m**4 and give u.
0
Rearrange (3*o**2 - o**2 - 3*o**2)*(7165*o + 7777*o - 2446*o) to the form y*o**3 + x + u*o + j*o**2 and give y.
-12496
Express -36*h + 1068 - 2132 - 8*h**2 - 42*h + 23*h + 1079 in the form f*h**2 + b*h + d and give d.
15
Express 7094 + 8862 - 12479 - 2*g as c*g + q and give q.
3477
Express 41181*b**2 + 41181*b**2 + b**4 - 116*b - 82362*b**2 - 24 in the form r + g*b**2 + s*b + q*b**4 + f*b**3 and give r.
-24
Rearrange (-38*c**2 - 2*c**2 - 29*c**2)*(21*c + 14*c + 12*c) to the form r*c + d + g*c**3 + a*c**2 and give g.
-3243
Express 4*y**4 + 3*y**3 - 3774 + 3802 + 0*y**3 in the form u*y**4 + c + v*y**3 + n*y + t*y**2 and give c.
28
Rearrange (-25*r + 51*r + 443*r)*(24*r - 2 + 33*r - 22*r + 51*r) to the form l + v*r**2 + d*r and give d.
-938
Express 9*f + 11*f + 2*f + 18*f - 64*f - 87 in the form l + u*f and give l.
-87
Rearrange (-5*p + 2*p + 0*p)*(-273 - 271 + 538) + (-3*p + 3*p - p)*(0 - 3 + 5) - 8*p + 5*p - 6*p to the form h + a*p and give a.
7
Express (-1 + 4*m - 2*m - 2 + (-4*m + 2*m + 3*m)*(-1 - 4 + 3) + 6*m + 2*m - 2*m)*(262 - 573 + 240) in the form i + k*m and give i.
213
Rearrange 6*g**3 - 18*g**3 + 13*g - 14*g + 442 - 2*g**2 + 11*g**3 to the form u + f*g + y*g**3 + v*g**2 and give v.
-2
Express -9*i**4 + i**4 + 16*i**4 + (1 + 2 - 1)*(-2*i**4 + 3*i**4 + i**4) + i**4 - 68*i**3 + 139*i**3 - 61*i**3 as l*i**3 + n*i**2 + s*i**4 + x*i + t and give l.
10
Express -9*n + 8327 - 8325 - 371*n**2 + n**3 + 7*n in the form w*n**2 + t*n + k*n**3 + d and give k.
1
Express -867*j - 271*j - 482*j - 1841*j as g*j + l and give g.
-3461
Express (-1893 - 2569 - 2849 + 1960)*(5*c + 2 - 2) as k + w*c and give k.
0
Express -2*m**2 + 312871*m**4 - 312875*m**4 - 3*m**3 + m - 2*m - 1 in the form t + a*m**4 + r*m**3 + i*m**2 + u*m and give r.
-3
Express -3 - 137*v + v**3 + 5*v - 39*v as o*v + a*v**3 + p + s*v**2 and give o.
-171
Express (-27 + 18 - 57)*(-1 + 4 - 4)*(0 - 2 + 3)*(-9*c + 15*c + 14*c) as t*c + z and give t.
1320
Rearrange (-b**3 - 2*b + 2*b)*(5715 + 756 + 9160 + 2495 + 7747) to the form i*b**2 + h + v*b + f*b**3 and give i.
0
Express (-46 + 4027*x - 45 - 50 + 140)*(0*x**2 - 7*x**2 + 0*x**2) in the form b + r*x**2 + u*x + y*x**3 and give y.
-28189
Rearrange (-47 - 18 + 0)*(2*z + 0*z - 5*z) + 4*z - 4*z + 7*z to i + h*z and give h.
202
Rearrange 3*l**3 + 17100*l**2 + 5 - 17100*l**2 - 29*l**3 to the form n + y*l + d*l**3 + p*l**2 and give n.
5
Rearrange (2*t - 3*t + 0*t)*((1 + 1 - 3)*(t + 0*t - 2*t) + 89 + 37*t - 89)*(-6*t + 7*t + 18*t) to z + o*t + f*t**3 + y*t**2 and give f.
-722
Rearrange (c - 2*c - c)*(-3 + 0 + 1)*(-472971*c + 456 + 236494*c + 236492*c) - c**2 - 4 + 4 + (2*c + 0*c - 3*c)*(0 + c + 0) to b*c + z*c**2 + v and give z.
58
Express -76*v - 1668 + 31*v + 45*v - v**2 in the form c*v**2 + m*v + h and give c.
-1
Express 22388*w + 2*w**2 + 22396*w + 6698 - 44784*w as a + s*w + z*w**2 and give z.
2
Rearrange 2882*v + v**2 - 4*v**3 - 5747*v - 161 + 2869*v to the form u*v + a*v**2 + q + k*v**3 and give u.
4
Express 10*d - 301 + 117 - 27 in the form c*d + l and give c.
10
Rearrange (-1 + 5 - 3)*(709*h**3 + 195483*h**2 - 195483*h**2)*(-h + 3 - 3) to u*h**3 + o*h**4 + s*h**2 + j + x*h and give j.
0
Rearrange -7*k**3 - 6*k**3 - 38 + 6*k + 0*k**3 - 17*k**3 + 27*k**3 to h*k + w*k**3 + j + a*k**2 and give w.
-3
Rearrange (2*r + 0 + 0)*(0*r - 3*r + r)*(2 + 4 - 4)*(0*r + 27*r - 3*r)*(-13 + 31 - 7) to n*r**2 + y + k*r + q*r**3 and give q.
-2112
Express (24 - 30 - 44 - 18)*(-1071*b + 531*b + 485*b)*(-4 - 1 + 3) + 6*b - 2*b - 2*b in the form l + f*b and give l.
0
Express (1 - 29*p + 25*p + 11*p)*(-1342 - 1129 + 2299) as v*p + h and give v.
-1204
Rearrange (47*f**3 - 339*f**3 + 16*f**3)*(47*f + 65*f - 14*f) to z*f**3 + j*f + n*f**2 + o + t*f**4 and give t.
-27048
Rearrange 1109 + 1103 - 3318 + 1118*n + 1106 to s + z*n and give z.
1118
Express 2049*i**2 - 562*i**2 + 108*i**2 - 250*i**2 + 2196*i**2 as h*i + r + o*i**2 and give o.
3541
Express 60*g**2 - 141*g**2 - 92*g**2 + 69*g**2 - 6 - 320*g**2 in the form s*g + y + b*g**2 and give b.
-424
Express -3*f**2 - 16054 + 16093 + 0*f**2 - 2*f + 0*f as y*f**2 + h + m*f and give y.
-3
Express (4 + 10 - 5)*(-2 - 2 + 2)*(477 - 477 + 240*g**2) in the form a + x*g**2 + j*g and give x.
-4320
Rearrange p**2 - 223*p**3 - 4*p**2 + 2 + 31*p**3 to j + l*p + n*p**2 + f*p**3 and give f.
-192
Rearrange 117*v - 82*v - 267*v + 38*v + 3 - 279*v to x*v + c and give x.
-473
Express 291*g + 287*g + 5*g**2 - 5 + 282*g + 291*g - 1109*g in the form i*g + a + f*g**2 and give a.
-5
Rearrange (-3*w - 9*w - 135*w**2 - 260*w**2 + 13*w)*(5*w + 17*w - 46*w) to the form a*w + n + m*w**2 + j*w**3 and give j.
9480
Express (4*c**3 + c**3 - 938896 + 938795)*(-3*c + 3*c + c) in the form m*c**2 + g + t*c**3 + u*c + k*c**4 and give u.
-101
Express -3*f - 2*f + 6*f + (-f + 7*f - 4*f)*(-3 + 3 + 1) - 14*f - 5*f - 20*f + 2*f - 5*f + 4*f + (f - f - 2*f)*(-32 - 58 + 58) in the form v + a*f and give a.
29
Express (2*r - 2*r - 3*r)*(r**2 - 6*r**2 + 3*r**2) - r**2 - 2*r**3 + r**2 + (225 - 25*r - 225)*(5*r**2 + r**2 - 3*r**2) as z*r + q + p*r**3 + y*r**2 and give p.
-71
Express 126*w + 4*w**2 + 138*w - 264*w + 21*w**3 + 20 in the form f*w**3 + h*w**2 + y + v*w and give h.
4
Express 55832*d**2 - 1 - 27906*d**2 - 27905*d**2 - 5 - 7*d in the form f*d**2 + o*d + x and give x.
-6
Rearrange -896 - 878 + 1774 + 766*r to y + p*r and give p.
766
Rearrange (-5*t + 17*t - 8*t)*(1 + 3 - 3)*(7 - 7 + 42) to the form u + p*t and give p.
168
Express 16 - 2*h**2 - 23*h - 3 - 31 - 2 as o*h**2 + l + y*h and give o.
-2
Rearrange 4190*f + 4195*f - 8379*f + 2*f**4 - 6 - 5*f**2 to k*f**4 + u*f**3 + m*f + g + s*f**2 and give s.
-5
Express -62*k**2 + 953*k**2 + 1746*k**2 as x*k**2 + q*k + s and give s.
0
Express -133*f**3 + 49*f**3 + 35*f**3 + 62 + 47*f**3 + f as d*f**3 + h + b*f + o*f**2 and give h.
62
Express 14488 - 2*b**3 - 14500 - 14*b**4 + 20*b - 18*b + 3*b**2 in the form j + g*b + w*b**2 + p*b**3 + i*b**4 and give j.
-12
Express 84 + 2*s + 14 - 3*s + 11*s**3 + 48 - 64 in the form n*s**3 + o + d*s**2 + k*s and give k.
-1
Rearrange -18*g**2 - 73*g**3 - 227*g + 2*g**4 + 338*g - 109*g + 1 to n*g**3 + h*g**4 + a + k*g + b*g**2 and give a.
1
Rearrange 8083905*f - 8083905*f + 2450*f**2 to h + j*f + k*f**2 and give h.
0
Rearrange (-27 + 27 - 12*y + (-65*y + 2082 - 2082)*(1 - 1 - 1))*(-3*y + 3*y + 2*y) to the form s*y**2 + h*y + u and give s.
106
Express (4*p**3 + 26*p**3 + 9*p**3)*(9 - 8 + 5)*(-5*p - 5*p + 3*p) in the form k*p + d*p**4 + j*p**2 + a + w*p**3 and give d.
-1638
Express -o + 8658 - 8659 + o - 5201*o**3 in the form d*o**3 + f + l*o + k*o**2 and give l.
0
Rearrange (2*p**3 + p**2 - p**2)*(1 - 3 + 0) + 47632*p - 45682*p - 2*p**3 - 10*p**3 to i*p**3 + r*p + t*p**2 + m and give t.
0
Rearrange -2*a**4 + 9*a**2 - 19 + 21 - a + 2*a**3 - 2*a**4 + 3*a**4 - 3*a**4 to the form m + v*a + t*a**2 + g*a**4 + o*a**3 and give o.
2
Rearrange (-2 - 1 + 2)*(6*z**2 - 2*z**2 - z**2)*(-3*z - z + 5*z) + 9650*z**3 - 103*z**2 + 156*z**2 - 52*z**2 to b*z**3 + c*z**2 + p + l*z and give b.
9647
Rearrange -3716*h**3 + 1856*h**3 + 4*h + 3*h + 18 + 0*h**4 - h**2 + 1861*h**3 + 2*h**4 to the form r*h**4 + o*h + p*h**2 + y + z*h**3 and give p.
-1
Rearrange -21700*s + 21675*s - s**3 - 3*s**2 + 17 + 6*s**2 to the form v*s**3 + r + z*s**2 + q*s and give r.
17
Express 217*n - 6*n**2 - 6870755 + 6870755 in the form g*n**2 + y + c*n and give g.
-6
Rearrange (-243 + 23*u**3 + 243)*(-4 - 6 + 2)*(1 + 2*u - 1) to the form t*u + z + k*u**3 + h*u**2 + x*u**4 and give x.
-368
Express (18*m**3 + 32*m**3 + m**3)*(-245 + 386 + 260 + 370) in the form w*m**2 + s*m + r + n*m**3 and give w.
0
Rearrange -b + 382437 + 9*b - 119*b**2 - 227*b**2 - 382438 to h + i*b**2 + g*b and give g.
8
Rearrange -13*w + 9*w + 9429 | {
"pile_set_name": "DM Mathematics"
} |
0. What is p?
-2, -1, 12
Factor 6*o**3 - 3467*o**2 - 4052*o - 579.
(o - 579)*(o + 1)*(6*o + 1)
Factor -56307*c**2/7 + 14796*c/7 - 972/7.
-3*(137*c - 18)**2/7
Factor 3*s**2 + 207*s + 594.
3*(s + 3)*(s + 66)
Let 2*v**5/15 + 98*v**4/15 + 596*v**3/5 + 14728*v**2/15 + 52528*v/15 + 21952/5 = 0. Calculate v.
-14, -4, -3
Suppose -4*i**2/5 + 128*i - 636/5 = 0. What is i?
1, 159
Factor 4*v**2 + 16*v - 180.
4*(v - 5)*(v + 9)
Factor h**3/10 - 9*h**2/2 - 433*h/10 + 477/10.
(h - 53)*(h - 1)*(h + 9)/10
Factor -5*j**2 + 50*j - 45.
-5*(j - 9)*(j - 1)
What is m in 2*m**4/5 - 12*m**3 + 114*m**2/5 - 56*m/5 = 0?
0, 1, 28
Solve 2*n**5 - 18*n**4 + 44*n**3 - 12*n**2 - 46*n + 30 = 0 for n.
-1, 1, 3, 5
Suppose -d**3/11 + d**2 + 25*d/11 + 13/11 = 0. What is d?
-1, 13
Factor 36*k**5 + 1908*k**4 + 26220*k**3 + 74884*k**2/3 + 24544*k/3 + 2704/3.
4*(k + 26)**2*(3*k + 1)**3/3
Solve -r**4 - r**3 + 6*r**2 + 4*r - 8 = 0.
-2, 1, 2
Factor 2*c**3 + 30*c**2.
2*c**2*(c + 15)
What is l in -l**3/2 + 695*l**2/2 - 121103*l/2 + 120409/2 = 0?
1, 347
Let u**3/10 + 3*u**2/2 - 27*u/5 = 0. What is u?
-18, 0, 3
Factor -2*l**3 - 996*l**2 - 994*l.
-2*l*(l + 1)*(l + 497)
Solve -35*q**5 + 145*q**4 + 15*q**3 - 145*q**2 + 20*q = 0.
-1, 0, 1/7, 1, 4
Determine l so that l**5/3 + l**4 - 2*l**3 - 10*l**2/3 + 7*l - 3 = 0.
-3, 1
Factor -s**2 + 266*s.
-s*(s - 266)
Factor -a**5/2 + 11*a**4/2 - 21*a**3 + 35*a**2 - 53*a/2 + 15/2.
-(a - 5)*(a - 3)*(a - 1)**3/2
Find i, given that -4*i**5/3 - 4*i**4/3 + 8*i**3/3 + 8*i**2/3 - 4*i/3 - 4/3 = 0.
-1, 1
Find s such that -3*s**4/2 + 27*s**3/4 - 3*s**2 = 0.
0, 1/2, 4
Solve -2*x**2/5 + 14*x/5 = 0 for x.
0, 7
Solve 3*c**5/5 - 18*c**4/5 - 84*c**3/5 + 234*c**2/5 + 513*c/5 - 648/5 = 0.
-3, 1, 3, 8
Factor 2*d**3 - 288*d**2 + 286*d.
2*d*(d - 143)*(d - 1)
Determine p, given that 2*p**4/21 - 8*p**3/7 + 30*p**2/7 - 116*p/21 + 16/7 = 0.
1, 4, 6
Factor -4*d**4 + 108*d**3 - 456*d**2 + 352*d.
-4*d*(d - 22)*(d - 4)*(d - 1)
Factor -2*a**2/5 + 66*a/5 - 124/5.
-2*(a - 31)*(a - 2)/5
Find c, given that 4*c**4 + 60*c**3 - 72*c**2 - 128*c = 0.
-16, -1, 0, 2
Find b, given that 98*b**4/5 + 336*b**3/5 - 454*b**2/5 - 204*b - 80 = 0.
-4, -5/7, 2
Factor -2*u**3/9 + 28*u**2/9 - 64*u/9 - 256/9.
-2*(u - 8)**2*(u + 2)/9
Suppose r**3/4 - 11*r**2/2 - 15*r/4 + 450 = 0. Calculate r.
-8, 15
Factor -5*k**2 - 40*k - 75.
-5*(k + 3)*(k + 5)
Find o such that -7*o**3/9 - 190*o**2/9 = 0.
-190/7, 0
Solve 5*p**4 - 30*p**3 + 160*p = 0 for p.
-2, 0, 4
Factor o**5/7 - 5*o**4/7 - 5*o**3/7 + 25*o**2/7 + 40*o/7 + 16/7.
(o - 4)**2*(o + 1)**3/7
Let a**5/4 + 13*a**4/4 + 27*a**3/4 - 41*a**2/4 - 29*a - 15 = 0. What is a?
-10, -3, -1, 2
Suppose -c**4/9 - 5*c**3/3 - 10*c**2/9 + 20*c/3 + 56/9 = 0. What is c?
-14, -2, -1, 2
Factor -v**2/3 + 11*v + 70/3.
-(v - 35)*(v + 2)/3
What is q in -3*q**4 - 42*q**3 + 261*q**2 - 444*q + 228 = 0?
-19, 1, 2
Factor m**4/4 + m**3 - 3*m**2/4 - 7*m/2 - 2.
(m - 2)*(m + 1)**2*(m + 4)/4
Find i such that 3*i**2/7 - 54*i/7 - 264/7 = 0.
-4, 22
Factor 4*q**4 + 628*q**3 + 22304*q**2 - 188272*q.
4*q*(q - 7)*(q + 82)**2
Factor -619*r**2 - 618*r + 1.
-(r + 1)*(619*r - 1)
Solve -u**3/4 - 37*u**2/2 - 661*u/4 - 336 = 0.
-64, -7, -3
Solve 3*s**3 + 297*s**2 + 9801*s + 107811 = 0.
-33
Let n**3 + 10*n**2 + 9*n = 0. Calculate n.
-9, -1, 0
Factor -u**2 - 99*u + 100.
-(u - 1)*(u + 100)
Factor 10*s**3/7 + 4*s**2/3.
2*s**2*(15*s + 14)/21
Let -t**5/5 - 3*t**4 - 63*t**3/5 - 17*t**2 - 36*t/5 = 0. What is t?
-9, -4, -1, 0
Find j such that -j**4/11 + 26*j**2/11 - 25/11 = 0.
-5, -1, 1, 5
Find j, given that 18*j**3/7 - 17*j**2/7 - j/7 = 0.
-1/18, 0, 1
Factor 25*i**4 - 55*i**3 + 35*i**2 - 5*i.
5*i*(i - 1)**2*(5*i - 1)
Solve -2249868*n**2 - 15588*n - 27 = 0 for n.
-3/866
Factor 2*t**5/7 + 2*t**4/7 - 4*t**3/7 - 4*t**2/7 + 2*t/7 + 2/7.
2*(t - 1)**2*(t + 1)**3/7
What is l in 2*l**2 + 12638*l - 12640 = 0?
-6320, 1
Factor 3*q**3 - 744*q**2 + 45375*q + 93750.
3*(q - 125)**2*(q + 2)
Determine n so that 50*n**2 - 1540*n + 11858 = 0.
77/5
Suppose k**4 + 23*k**3 + 41*k**2 - 23*k - 42 = 0. What is k?
-21, -2, -1, 1
Determine c so that 4*c**4 - 104*c**3 + 100*c**2 = 0.
0, 1, 25
Factor 3*g**2/5 + 288*g + 34560.
3*(g + 240)**2/5
Factor 3*d**3 - 96*d**2 + 768*d.
3*d*(d - 16)**2
Let -l**3/5 - 27*l**2 + 1128*l/5 - 2288/5 = 0. Calculate l.
-143, 4
Suppose k**2/3 - 2*k + 5/3 = 0. What is k?
1, 5
Factor -82*k**2/9 + 88*k/9 - 2/3.
-2*(k - 1)*(41*k - 3)/9
Factor 27*p**4 + 207*p**3 - 357*p**2 - 303*p - 54.
3*(p - 2)*(p + 9)*(3*p + 1)**2
Suppose 12*y**5/5 - 87*y**4/5 + 93*y**3/5 - 18*y**2/5 = 0. What is y?
0, 1/4, 1, 6
Let 2*d**2/5 - 316*d/5 + 624/5 = 0. Calculate d.
2, 156
Factor -2*y**2/19 - 68*y/19 - 66/19.
-2*(y + 1)*(y + 33)/19
Factor -2*v**2/5 - 26*v.
-2*v*(v + 65)/5
Let -5*i**3 + 130*i**2 + 5*i - 130 = 0. What is i?
-1, 1, 26
Suppose i**4/5 + 612*i**3/5 = 0. What is i?
-612, 0
Determine d, given that -32*d**4/5 - 176*d**3/5 + 1214*d**2/5 + 1036*d + 4704/5 = 0.
-8, -7/4, 6
Factor 3*y**3 - 24*y**2.
3*y**2*(y - 8)
Factor -528125*f**3 - 524875*f**2 + 3245*f - 5.
-5*(f + 1)*(325*f - 1)**2
What is b in -2*b**2/3 + 10*b/3 + 4 = 0?
-1, 6
Factor 2*l**3/11 + 138*l**2/11 + 48*l + 520/11.
2*(l + 2)**2*(l + 65)/11
Find u such that -174*u**2 + 524*u - 6 = 0.
1/87, 3
Suppose -2*h**3/7 + 10*h**2/7 - 8*h/7 = 0. Calculate h.
0, 1, 4
Let u**4/5 - 72*u**3/5 - 74*u**2/5 + 72*u/5 + 73/5 = 0. What is u?
-1, 1, 73
Find h such that 2*h**5/5 - 16*h**4/5 + 18*h**3/5 + 52*h**2/5 - 104*h/5 + 48/5 = 0.
-2, 1, 2, 6
Find j, given that 45*j**4/2 - 273*j**3/2 + 513*j**2/2 - 303*j/2 + 9 = 0.
1/15, 1, 2, 3
Let -4*z**2 + 24*z - 20 = 0. What is z?
1, 5
Factor -2*p**3/7 + 36*p**2/7 - 216*p/7 + 432/7.
-2*(p - 6)**3/7
Suppose -4*w**5 - 16*w**4 + 12*w**3 + 72*w**2 = 0. What is w?
-3, 0, 2
Solve 28*v**4 + 248*v**3 - 68*v**2 - 288*v = 0 for v.
-9, -1, 0, 8/7
Let 4*b**2 + 40*b - 44 = 0. What is b?
-11, 1
What is d in -5*d**5 + 25*d**4 + 205*d**3 - 765*d**2 - 2160*d + 2700 = 0?
-5, -3, 1, 6
Factor 5*m**2 + 185*m + 180.
5*(m + 1)*(m + 36)
Determine p, given that 2*p**2/5 - 12*p - 198/5 = 0.
-3, 33
Factor -m**2/5 - 687*m - 3434/5.
-(m + 1)*(m + 3434)/5
Solve -15*j**4 + 85*j**3 - 35*j**2 - 85*j + 50 = 0 for j.
-1, 2/3, 1, 5
Let 3*q**3/5 + 81*q**2/5 + 366*q/5 - 216 = 0. What is q?
-20, -9, 2
Solve 2*o**2 + 16*o = 0.
-8, 0
Let p**2/2 - 43*p/2 - 22 = 0. What is p?
-1, 44
Factor -4*u**4/3 - 8*u**3 + 44*u**2/3 + 80*u - 400/3.
-4*(u - 2)**2*(u + 5)**2/3
Solve 6*g**2/7 + 62*g/7 - 120/7 = 0 for g.
-12, 5/3
Let -12*p**3/11 - 90*p**2/11 - 114*p/11 - 36/11 = 0. What is p?
-6, -1, -1/2
Suppose 16*k**2/3 - 110*k/3 = 0. Calculate k.
0, 55/8
Factor -r**5 + 19*r**4 + 42*r**3.
-r**3*(r - 21)*(r + 2)
Factor 4*z**4 + 32*z**3 + 48*z**2.
4*z**2*(z + 2)*(z + 6)
Suppose 2*m**4 + 8*m**3 + 10*m**2 + 4*m = 0. What is m?
-2, -1, 0
Factor 2*l**4/3 - 752*l**3/3 + 35344*l**2 - 6644672*l/3 + 156149792/3.
2*(l - 94)**4/3
Solve 4*s**4 - 160*s**3 - 336*s**2 = 0.
-2, 0, 42
Factor -f**2/4 - 145*f/2 - 289/4.
-(f + 1)*(f + 289)/4
Factor -t**3/3 + 49*t**2 + 298*t/3.
-t*(t - 149)*(t + 2)/3
Let c**2/4 - 185*c/4 + 623/2 = 0. What is c?
7, 178
Factor 32*f**5/5 - 2080*f**4 + 252976*f**3 - 13603328*f**2 + 268506314*f + 1411823522/5.
2*(f + 1)*(2*f - 163)**4/5
Solve f**3 + 2*f**2 - 15*f = 0 for f.
-5, 0, 3
Find g such that 2*g**5/3 - 34*g**4/3 + 196*g**3/3 - 440*g**2/3 + 112*g = 0.
0, 2, 6, 7
Factor -3*b**2/5 - 1624*b/5 + 1084/5.
-(b + 542)*(3*b - 2)/5
Determine o so that -2*o**5 + 614*o**4 + 1236*o**3 + 4*o**2 - 1234*o - 618 = 0.
-1, 1, 309
Factor -y**2/5 + 256*y/5 - 51.
-(y - 255)*(y - 1)/5
Let 77*w**4/4 - 729*w**3/4 - 221*w**2/2 + 81*w - 10 = 0. Calculate w.
-1, 2/11, 2/7, 10
Factor 3*t**3/7 - 354*t**2/7 - 3*t/7 + 354/7.
3*(t - 118)*(t - 1)*(t + 1)/7
Let -5*j**3 - 20*j**2 + 15*j + 90 = 0. What is j?
-3, 2
Factor -4*z**4 + 80*z**3 - 68*z**2 - 152*z.
-4*z*(z - 19)*(z - 2)*(z + 1)
Suppose 4*c**4 - 172*c**3 + 2340*c**2 - 8100*c - 27000 = 0. Calculate c.
-2, 15
Factor 4*r**3 - 6*r**2 - 24*r - 14.
2*(r + 1)**2*(2*r - 7)
Let -9*b**5/4 + 69*b**4/2 - 373*b**3/4 + 34*b**2 + 59*b + 12 = 0. Calculate b.
-1/3, 2, 12
Solve k**5 + 14*k**4 + 68*k**3 + 136*k**2 + 96*k = 0.
-6, -4, -2, 0
Factor -x**2/4 - 41*x - 163/4.
-(x + 1)*(x + 163)/4
What is z in 56*z**2 - 508*z + 36 = 0?
1/14, 9
Factor -4*l**3 + 76*l**2 - 200*l + 128.
-4*(l - 16)*(l - 2)*(l - | {
"pile_set_name": "DM Mathematics"
} |
+ j + 2) to u*j + s and give u.
-924
Express 9*w**2 - 64*w**2 - 5 + 44*w**2 + 14*w**2 - 13*w as k + v*w + f*w**2 and give f.
3
Express -204 - 192 - 201 + 36702*o + 597 in the form q + x*o and give x.
36702
Express (-4569*h - 6641*h - 9451*h + 1306*h)*(2*h**2 - 3*h**2 - h**2) as z*h**3 + x*h + k*h**2 + p and give z.
38710
Rearrange -40 - c + 338*c**2 - 844*c**2 + 42 to the form b + m*c**2 + f*c and give m.
-506
Express -d**4 + 0*d**2 - 34 - d**2 + 37 + 61 + 3*d**3 as h + q*d**2 + z*d**3 + c*d**4 + r*d and give h.
64
Express 22*w - 3 - 61*w + 24*w + 38 + 18*w in the form q + n*w and give q.
35
Rearrange (-2 - 1 + 1)*(45*a - 17 + 17)*(17 + 36 - 40)*(3 + 2 - 2) to p*a + g and give p.
-3510
Express (22 + 37 - 71)*(-4*t - t + 3*t)*(-t**2 + 0*t**2 + 2*t**2) - 25*t**3 - 33*t**3 + 46*t**3 as p + h*t**2 + i*t + d*t**3 and give d.
12
Rearrange (-4*t**3 - t**3 + 3*t**3 + (-119 + 119 + 80*t**2)*(-5*t - t - 2*t))*(0*t + 2*t - t) to g + b*t**2 + f*t + r*t**4 + d*t**3 and give r.
-642
Express 300*a - 1550*a - 6591*a as q*a + f and give q.
-7841
Rearrange 2*n**4 - 43*n - 3*n - 3021*n**2 + 1 - 4*n**3 + 3022*n**2 + 5*n**3 to the form c*n**4 + l*n**3 + q + g*n**2 + j*n and give l.
1
Rearrange (4 + r - 4)*(4*r - r - 5*r) + 181*r**2 + 22 - 114*r**2 - 55*r**2 to the form l + b*r**2 + s*r and give l.
22
Express -20 + 20 + 12*f**2 + (-7*f + f + 2*f)*(-149 + 149 - 33*f) as j*f + y*f**2 + v and give v.
0
Rearrange (6 + 5 - 5)*(-3 + 6 - 1)*(3 + 0 + 3)*((3*f + f - 6*f)*(2 + 0 - 1) + 92*f + 23*f - 41*f) to c*f + h and give c.
5184
Express (0*n + 2*n + 0*n)*(-99*n - 191 + 96 + 68) as s*n**2 + l*n + k and give l.
-54
Express (-23 + 15*s - 16*s + 2)*(-4*s**3 + 4*s**3 - s**3 + (3*s - 2*s - 3*s)*(-2*s**2 + 5*s**2 + 5*s**2)) as x*s**3 + t + n*s**2 + a*s**4 + h*s and give x.
357
Rearrange -1 + 38389*s**2 + 37362*s**2 - 79271*s**2 to the form b + r*s + c*s**2 and give b.
-1
Express (7 + 7 + 2)*(5 - 3 - 1)*(-17 + 9 + 15 - n)*(-5 - 25 + 1) in the form i + p*n and give p.
464
Rearrange -19*i**4 - 4*i**4 + i**4 + (82*i**2 - 21*i**3 - 82*i**2)*(2*i + 1 - 1) to the form x + q*i**3 + a*i**4 + w*i**2 + f*i and give a.
-64
Express (-g + 1 - 1)*(-2 + 1 + 3) + 4 - 4 + 5*g + (0*g + 4*g - 2*g)*(0 + 2 - 1) - 3*g + 22*g - 4*g in the form j + r*g and give r.
20
Express 605 - 18*n**2 + 27*n**3 + n - 38*n**2 - 606 as h*n**2 + s*n + r + k*n**3 and give k.
27
Express (117 + 17922*f + 17924*f - 73 + 146 - 35848*f)*(1 - 2 + 4) as g*f + b and give g.
-6
Rearrange 4495 - 9267 + 4341 - 5*j to o + t*j and give o.
-431
Express 405 - 407 + c**3 - 89*c - 2*c**2 + 47*c - 133*c - 44*c as x*c + f + j*c**2 + s*c**3 and give x.
-219
Rearrange (-95*k - 2*k - 12*k)*(1 + 8 + 14 + 18) to z + b*k and give b.
-4469
Express 19 - 16 - 28 + 2*z + 7*z**3 - 34 as t*z**3 + s*z**2 + r*z + o and give o.
-59
Express -64*z + 0*z**3 + z**3 + 70*z - z**2 - 12*z - 2 - 21*z in the form s*z**2 + h*z + o + f*z**3 and give h.
-27
Express 2658 + 2563 - 8*c - 5158 as h + k*c and give k.
-8
Rearrange (23 - 36 + 23)*(-22341 + 22341 + 39*y**2 + 1552*y**2) to the form s*y**2 + b*y + f and give s.
15910
Express (-2 + 0 + 3)*(2*m**3 + 3*m**3 - 3*m**3) + 193*m**3 + 515 - 515 + (-3*m**2 - 3 + 3)*(-3*m + 4*m + m) as o + f*m**3 + w*m**2 + a*m and give f.
189
Express (-3*z**2 + z**2 + 7*z**2)*(-893 - 901 + 1820 - 48*z) as s*z**2 + b*z + g + p*z**3 and give p.
-240
Express (-5 + 4 - 1)*(-1 + 0 + 0)*(-19 - 1202*y + 19 + 6795*y) as a + z*y and give z.
11186
Express -247118 + 123523 + 123553 + 10*q in the form w*q + j and give j.
-42
Rearrange 4*d**2 - 4*d**2 + 4*d**4 + (-250*d**3 + 32*d**3 - 210*d**3)*(0 + 0 + 2*d) to n*d**3 + t*d**2 + g*d + f + b*d**4 and give b.
-852
Express -260*m - 21*m - 36*m - 76*m + 0*m**2 - 1 + 4*m**2 as b + y*m + d*m**2 and give d.
4
Express -17*y - 26*y - 19*y + 12316*y**2 - 29*y + 93*y in the form j*y**2 + x + a*y and give a.
2
Express 44*v - 13*v + 2*v**3 - 9*v + 3093*v**2 - 9*v - 11*v as o + z*v**2 + p*v + a*v**3 and give p.
2
Rearrange 2*b**2 - 3*b + 413*b**4 - 807*b**4 + 391*b**4 + 109*b**2 to the form x*b**3 + q*b + p*b**2 + r*b**4 + w and give p.
111
Express 56*i**2 - 36*i**2 - 38*i**2 - 8 in the form b*i + q*i**2 + w and give w.
-8
Rearrange m**3 - 58*m**4 - 314*m**2 + 314*m**2 + 57*m**4 - 189 to d*m**2 + s*m**4 + c + b*m + u*m**3 and give c.
-189
Express 4 - 26 - 2*g + 18 - g**2 + 5 + 199*g**3 as t*g**2 + h + x*g + p*g**3 and give h.
1
Rearrange -3*q**3 + q**3 - 3663 + 15052 to m*q**3 + d*q**2 + v*q + p and give m.
-2
Express -17 - 528*n**2 + 17*n**3 + 527*n**2 - 2 + (-1 - 5 + 3)*(-n - 2 + 2)*(3*n**2 - 4*n**2 + 2*n**2) in the form j + d*n**3 + f*n**2 + q*n and give f.
-1
Rearrange (-482 + 219 - 296)*(4*o - 3*o - 3*o) - 3 + 3 - 2*o to the form y*o + d and give y.
1116
Express (3*j**3 - 2*j**3 - 2*j**3)*(-2 - 3 + 3)*(3 - 1 - 4) + 385*j - 742*j + 369*j + 31*j**3 in the form u + y*j**3 + t*j**2 + n*j and give y.
27
Rearrange -291*j - 72*j + 539*j - 51*j - 5 + j**2 to the form u*j + x*j**2 + n and give x.
1
Rearrange -838 - 9*n + 12*n + 238 to the form s + o*n and give s.
-600
Rearrange (-16*q + 2 + 3 - 5)*(0*q**2 + 16*q**2 + 93*q**2) to s*q**2 + m*q + k*q**3 + w and give k.
-1744
Express -47 - 53*i**2 + 8*i**2 - 15*i + 17*i + 47*i**2 as o + r*i + z*i**2 and give o.
-47
Rearrange (-6*i**2 + 2*i**2 + 3*i**2)*(1 - 2 + 0) + i**2 + 0 + 0 + (298*i - 154*i + 227*i)*(4*i + i - 2*i) to h*i + a*i**2 + s and give a.
1115
Rearrange (5*s**2 - 4*s**2 + 0*s**2 + (2 + 3 - 3)*(s**2 - s**2 + s**2) + 27 - 27 - 49*s**2)*(40687 - 40687 - 123*s) to j*s + a + b*s**3 + q*s**2 and give q.
0
Express -3*j**2 - 289 + 104*j - 6*j**3 + 296 - 104*j in the form i*j + y + x*j**2 + l*j**3 and give x.
-3
Rearrange -14840*j**2 - 4086 + 29680*j**2 - 14842*j**2 to the form h*j**2 + f*j + q and give q.
-4086
Rearrange 1 - 11 + 7 + 2*j**2 + 42 - 6*j to the form x + k*j + g*j**2 and give x.
39
Express 3 - 1479*c + 399*c - 3 - 1927*c as l + d*c and give d.
-3007
Rearrange -1944*i - 849 + 5830*i - 1940*i + i**2 - 1943*i + 2*i**2 to the form a*i**2 + c + m*i and give a.
3
Rearrange (-3*k - 1 + 1 + (-5 + 5 - 12)*(0 + 0 + 3*k))*(-31 - 37 + 45) to m*k + x and give m.
897
Rearrange 2*c**3 - 2*c**2 - 1322600*c**4 + 2*c - 4*c**3 - 11 + 1322596*c**4 to q*c**3 + m*c**4 + n*c + t*c**2 + z and give t.
-2
Rearrange 141 - 4*p - 276 - 3*p**2 + 129 + (-2*p + 0*p + p)*(3 + 3 - 5)*(5 + 3*p - 5) to l*p**2 + w*p + o and give o.
-6
Rearrange -383917*b + 382785*b - 3 + 1 to the form o*b + c and give c.
-2
Rearrange 297*h + 10075*h + 3819*h + 4301*h + 3365*h to m*h + r and give m.
21857
Express -4*q**3 - 1619*q + 0*q**3 - 159*q**2 + 157*q**2 + 6*q**3 in the form y*q**2 + o*q + v + r*q**3 and give o.
-1619
Express v**2 + 636*v**4 + 0*v**2 + 606*v**4 + 5*v**3 + 4*v**3 - 1265*v**4 - v in the form z + k*v + f*v**4 + a*v**2 + x*v**3 and give x.
9
Express (-7*x + 2 - 2 + (x - 2*x - x)*(-2 + 2 + 1))*(-x**2 - 2*x**2 + 9*x**2) in the form d*x + q + i*x**3 + b*x**2 and give i.
-54
Express (2 + 2 + j + 0)*((-2 - 6 + 3)*(0 + 2 + 0) + 1 + 4 + 32)*(2*j - j**2 - 2*j) in the form q*j**3 + i*j + d*j**2 + h and give h.
0
Rearrange -841053*c + 0 + 62*c**3 + 1 + 841050*c + 2*c**2 to y + d*c + m*c**2 + p*c**3 and give d.
-3
Rearrange (-2114*m**2 + 2 + 50153*m**2 + 3721*m**2 - 2)*(-3*m + 6*m + 2*m) to the form h*m**2 + v + u*m + a*m**3 and give h.
0
Rearrange -x**2 + 1 - 1 + (-12*x - 6*x - 9*x)*(93*x + 124 - 154 - 20*x) to t*x + s*x**2 + u and give s.
-1972
Rearrange -17 + 17 - 7589*h - 9258*h to m*h + y and give m.
-16847
Express -4*q**4 - 1 + 321*q + 5*q**3 + 2*q**2 - 7*q**3 - 323*q in the form r + u*q**4 + h*q**3 + w*q**2 + i*q and give u.
-4
Rearrange 14*r**4 - 14*r**3 - 10*r**4 - 1 + 17*r**3 - 21*r + 2*r**4 + 60*r - r**2 to p + y*r**4 + m*r + h*r**3 + f*r**2 and give y.
6
Rearrange 3*x + 0 - 2 + 0*x + (-3*x + 3*x + 5*x)*(-9460 - 6360 + 21233) to the form i*x + a and give i.
27068
Express (-2 + 2 - y**2)*(-61 + 71 - 46) - 411 + 411 - y**2 + 18*y as k + u*y + q*y**2 and give q.
35
Rearrange 2*p + 2396628*p**3 - 3 - 2*p**2 - 2395999*p**3 + 0 to d*p**3 + v*p + n + j*p**2 and give d.
629
Rearrange 2206*h**2 - 6*h - 1099*h**2 - 1108*h**2 - 59 to o*h**2 + j*h + m and give o.
-1
Express -18 - 9 + 27 - 16689*i + 1582*i as l + o*i and give o.
-15107
Rearrange 0*f - f + 2*f + (1 - 1 - 6)*(29*f - 4*f - 8*f) | {
"pile_set_name": "DM Mathematics"
} |
*2 + 5 wrt n.
51258*n + 52*s**2
Differentiate 41*f**3*s - 13377*f**3 + 13*f**2*s - 6 wrt s.
41*f**3 + 13*f**2
Find the second derivative of -1280232*b**4 - 111729*b wrt b.
-15362784*b**2
Differentiate -2*p**2 - 44359*p + 85261.
-4*p - 44359
Find the third derivative of 1178939*n**3*u**3 + 4905*n**3 - 24*n*u**2 + 1 wrt u.
7073634*n**3
Differentiate 1277222*t*u**3 + 77*u**3 + 357*u**2 + 4*u - 2 wrt t.
1277222*u**3
Find the second derivative of -33131*d**3*v**3 - 2*d**3*v - 18*d*v**3 - 9*d*v**2 + d*v + 24*v**3 wrt d.
-198786*d*v**3 - 12*d*v
Find the second derivative of 93*o**2*s**3 + 21*o**2*s**2 - o**2*s - 678*o*s - 6*o + 2*s**2 wrt s.
558*o**2*s + 42*o**2 + 4
Differentiate g*i**2*p - 4132*g*i**2 - 5*g*i*p + 3*g + 6*i**2*p - 4*p wrt p.
g*i**2 - 5*g*i + 6*i**2 - 4
Differentiate 8*f**2*i**3*t - 7*f**2 - 22*f*i**3*t - 3*f*i**3 + 1702*f*i**2 - 51*f*t + 2*i**3 with respect to t.
8*f**2*i**3 - 22*f*i**3 - 51*f
What is the first derivative of -d*n**2 - 47414*d*n + 5847*d + 11 wrt n?
-2*d*n - 47414*d
Differentiate -301144*b + 1211175.
-301144
Find the first derivative of -f*w**3 + 4373183*f + 128571*w**4 - 3*w wrt w.
-3*f*w**2 + 514284*w**3 - 3
What is the third derivative of 62039*a**5 - 6*a**2 - 4398*a + 1?
3722340*a**2
Find the third derivative of 892*q**6 - q**5 - 4*q**4 - 6938*q**2 - 33 wrt q.
107040*q**3 - 60*q**2 - 96*q
What is the first derivative of 1798343*n - 1710335?
1798343
Find the second derivative of -6134*c**2*d**3 + 4*c**2 - 81*c*d**3 + c*d**2 - c wrt c.
-12268*d**3 + 8
What is the second derivative of l**3*m + 74054*l**2*m + 722*l*m - l + 4*m - 1 wrt l?
6*l*m + 148108*m
Differentiate -11542*u*v + 5*u - 65346*v - 9 wrt u.
-11542*v + 5
What is the third derivative of -4416615*u**4 + 42*u**2 + 15372 wrt u?
-105998760*u
Differentiate -2*l**3 - 52679*l**2 + l + 142712.
-6*l**2 - 105358*l + 1
What is the second derivative of 47047*w**2 - w - 17469 wrt w?
94094
Find the second derivative of 743374*r**4 + 10672*r.
8920488*r**2
What is the second derivative of -21318*l*n**2*t - 2*l*n**2 + 952*l*n*t + 2*n**2*t - 3*n**2 - 2*n*t - 4*n + t + 1 wrt n?
-42636*l*t - 4*l + 4*t - 6
Find the second derivative of 196*b**4*s**3 - 145*b**3*s**3 - 50905*b + 11*s**3 wrt b.
2352*b**2*s**3 - 870*b*s**3
What is the second derivative of 16*l**4 + 597*l**3 + l**2 - 3*l + 16645?
192*l**2 + 3582*l + 2
Find the third derivative of -15711*l**3*z**2 - 28*l**3*z - 51723*l**2*z**2 + 8*z**2 wrt l.
-94266*z**2 - 168*z
Find the second derivative of 1688363*a*i**2 - 4*a - 46612*i - 2 wrt i.
3376726*a
Find the second derivative of 3*a**4 + 87525*a**3 + 2*a**2 + 815*a - 4 wrt a.
36*a**2 + 525150*a + 4
Find the second derivative of -167*l**5 - 380*l**4*r - 78*l + 436*r wrt l.
-3340*l**3 - 4560*l**2*r
What is the third derivative of 2*z**6 - 649*z**5 + 10*z**4 - 150229*z**2 wrt z?
240*z**3 - 38940*z**2 + 240*z
What is the second derivative of 5193962*l**3 + 191713*l?
31163772*l
Differentiate h*r**2*w + 951*h*r**2 + 22*h*r - 2*h*w**2 + 1508*r**3*w - 2*r**3 - 2*r - 5*w wrt w.
h*r**2 - 4*h*w + 1508*r**3 - 5
What is the third derivative of -370932*a*y**3 - a*y**2 - a*y - 4*y**3 - 2*y**2 - 8*y + 18375 wrt y?
-2225592*a - 24
Differentiate -8*f**3*l**4 + 6010*f**3*l - 58165*f**3 with respect to l.
-32*f**3*l**3 + 6010*f**3
Differentiate 79735*z**3 + 19665 with respect to z.
239205*z**2
Find the second derivative of 5*z**5 - z**4 + 472*z**2 + 279*z - 97 wrt z.
100*z**3 - 12*z**2 + 944
What is the third derivative of -37409*f**4 + 10588*f**2 - 2*f?
-897816*f
What is the third derivative of -3764935*v**3*w - 140038*v**2 + 3*w wrt v?
-22589610*w
What is the third derivative of d**3*h + 11246*d**3 - 2*d**2*h + 2*d + 694*h - 3 wrt d?
6*h + 67476
What is the first derivative of 2232487*j**4 - 916857?
8929948*j**3
What is the third derivative of 47703*a**5 + 7228*a**2 - a?
2862180*a**2
Find the third derivative of 803894*v**3 - 1231988*v**2.
4823364
What is the second derivative of 151*j**3 + 2*j**2*r**2 + 20*j**2 - 24*j*r - 140*r**2 + r wrt j?
906*j + 4*r**2 + 40
What is the first derivative of -7*x**4 + 133*x**3 - 3*x**2 - 21807 wrt x?
-28*x**3 + 399*x**2 - 6*x
What is the third derivative of -29444*j**3*u**3 - 3*j**3*u - j**3 - 129*j**2*u + 25*j*u**3 + 48*j wrt j?
-176664*u**3 - 18*u - 6
What is the first derivative of -2630746*p**2 - 2711760?
-5261492*p
What is the first derivative of 53444*y**2 - 39771?
106888*y
What is the second derivative of 73*a**4 - 9*a**3 + a**2 - 127387*a - 1 wrt a?
876*a**2 - 54*a + 2
Find the second derivative of -3*h**4 - 4328*h**3 - h**2 - 3333*h.
-36*h**2 - 25968*h - 2
What is the first derivative of -11*p**2*v - p**2 - 1739*p - 3*v - 2468 wrt p?
-22*p*v - 2*p - 1739
What is the third derivative of -15718*m**3*n**3 - m**3*n**2*y + 3*m**2*n**3 + 38*m**2*n*y - 60*m*n**3*y - n**3*y wrt m?
-94308*n**3 - 6*n**2*y
What is the third derivative of -29024*k**3 - 2238*k**2?
-174144
Find the third derivative of -2*m**2*w**3 - 6*m**2*w**2 + 2*m**2 + m*w**3 + 69*w**3 - 13*w**2 + 9*w wrt w.
-12*m**2 + 6*m + 414
Find the first derivative of -21*c*i - 68*c*o - 35*c - 3*i**2*o + 14*i**2 + 3 wrt i.
-21*c - 6*i*o + 28*i
What is the third derivative of -48*n**5*q + n**4*q + 60*n**4 + 676*n**2*q - 4*n**2 - 3*n*q + 1 wrt n?
-2880*n**2*q + 24*n*q + 1440*n
What is the second derivative of -145518*d**2*q**2 - 2*d**2*q - 201*d**2 + 2*d*q + d wrt q?
-291036*d**2
Differentiate 136726*b - 1146534.
136726
What is the derivative of -39*t**3 - 17918*t*w**3 - 3206493*w**3 wrt t?
-117*t**2 - 17918*w**3
Differentiate -567*w**4 + w**3 + 2*w**2 - 58217 with respect to w.
-2268*w**3 + 3*w**2 + 4*w
What is the second derivative of -96635*g**3*m - g**2*m - 2*g*m + 31837*m + 2 wrt g?
-579810*g*m - 2*m
Find the second derivative of 933*o*q**2 + 10*o*q - 141*o - 20*q**4 - 7*q wrt q.
1866*o - 240*q**2
Find the third derivative of -39126*v**3 + 138986*v**2 wrt v.
-234756
What is the second derivative of -275*m*q*u**2 - 318*m*u**2 - 74*m*u - 5032*m + 4*q*u**2 + 4*q - u**2 wrt u?
-550*m*q - 636*m + 8*q - 2
What is the third derivative of -2848662*b**6 + 9*b**2 - 41490*b?
-341839440*b**3
Find the third derivative of -6*c**5 + 48035*c**3 - 3346877*c**2 wrt c.
-360*c**2 + 288210
What is the third derivative of -24*t**5 - 3042*t**4 + 24*t**2 - 110*t - 27?
-1440*t**2 - 73008*t
Find the second derivative of -399272*h**3*l**2 - 19*h**3*l + 4664*h*l wrt l.
-798544*h**3
What is the derivative of 241*h**2*y + 2*h**2 - h*y - 14*h - 84038*y - 1 wrt h?
482*h*y + 4*h - y - 14
Differentiate -1378682*q*t**3*w + 128514*t**3*w - 4*w with respect to q.
-1378682*t**3*w
What is the first derivative of f**2*z + 2*f**2 + 288*z**4 + 49*z**3 + 34767 wrt z?
f**2 + 1152*z**3 + 147*z**2
What is the third derivative of -45578*z**4 + 5*z**2 - 94*z + 9 wrt z?
-1093872*z
What is the third derivative of 219384*i**4 + 134*i**2 + 19*i - 8?
5265216*i
Find the third derivative of 1423765*x**3*y**2 - 155*x**2*y**2 - 347*x**2 - 4*x*y**2 wrt x.
8542590*y**2
Find the second derivative of -2*f**5*i + 6056*f**5 + 2*f**2*i - 45*f*i + 15*f + i + 19 wrt f.
-40*f**3*i + 121120*f**3 + 4*i
What is the second derivative of 2*l**3*q - 1190*l**3 - 4*l**2*q + l**2 - 112*l*q + l + 56*q wrt l?
12*l*q - 7140*l - 8*q + 2
Differentiate 2507*q**4 + 108*q**3 - 2229388.
10028*q**3 + 324*q**2
Find the second derivative of 4*a**2*d**2 - 4*a**2*v - 2747*a*d*v*x - 14*a*v*x + 1832*d**3*v - 2*d**3*x + 2*d wrt d.
8*a**2 + 10992*d*v - 12*d*x
What is the derivative of -3053455*h**4 - 1847677?
-12213820*h**3
Find the third derivative of 28710*b**3 - 14126*b**2.
172260
What is the first derivative of -5*t*z**2 - 20*t*z + 5*t - 2*z**2 + 1500 wrt z?
-10*t*z - 20*t - 4*z
What is the third derivative of f**6 - 5454*f**4 - 6*f**3 - 175120*f**2 + 2*f wrt f?
120*f**3 - 130896*f - 36
What is the second derivative of -619325*h**5 - 381965*h wrt h?
-12386500*h**3
What is the third derivative of -38792*z**3 - z**2 + 3*z - 2379 wrt z?
-232752
What is the third derivative of -76*j*t**3*u**3 + 3*j*t**3*u**2*w - j*t**3*u**2 - 12*j*t*u**2 + 475*j*u**3*w**2 - 12*j*u*w + 2*t**3*u*w**2 + 2*t**2*w**2 wrt u?
-456*j*t**3 + 2850*j*w**2
Find the third derivative of 509*s**2*y**4 + 267*s**2*y**2 + s**2*y + 405*s*y**6 + 70*y**2 - 2 wrt y.
12216*s**2*y + 48600*s*y**3
Find the second derivative of | {
"pile_set_name": "DM Mathematics"
} |
ivided by -96?
-893
-406086 divided by -7662
53
0 divided by -137849
0
Calculate -233009 divided by 1.
-233009
Calculate 0 divided by 9514.
0
Divide -756695 by 151339.
-5
What is 7949780 divided by 5?
1589956
Calculate 11595 divided by -3865.
-3
24174 divided by 24174
1
Divide -10 by 13044.
-5/6522
Calculate -438 divided by -3102.
73/517
-46391 divided by -2017
23
Divide 4 by 34496.
1/8624
-25 divided by -423
25/423
What is -10260 divided by -5130?
2
241488 divided by -43
-5616
Calculate 167728 divided by -1.
-167728
Calculate -17 divided by 4304.
-17/4304
What is 1153520 divided by 40?
28838
Divide -131887 by 227.
-581
What is -108000 divided by -5?
21600
-372 divided by 47
-372/47
Calculate 5 divided by -48970.
-1/9794
Divide -2053557 by -3.
684519
Divide -223040 by -656.
340
-280584 divided by -24
11691
What is -13112 divided by -88?
149
What is 55746 divided by -2?
-27873
Divide -709505 by 41.
-17305
Calculate 5224112 divided by 4.
1306028
Calculate 1 divided by -27471.
-1/27471
Calculate -6611 divided by 601.
-11
Divide 3037 by 228.
3037/228
Divide 688020 by 6.
114670
Calculate -2102650 divided by -5.
420530
Divide -385600 by -77120.
5
268107 divided by 21
12767
120281 divided by 7
17183
Calculate 415 divided by 54.
415/54
Calculate -122473 divided by -1.
122473
-12 divided by 30566
-6/15283
Divide -4606083 by -3.
1535361
Calculate -4 divided by -4154.
2/2077
What is 27 divided by 780?
9/260
Divide 5 by -16524.
-5/16524
Calculate 3 divided by 20470.
3/20470
Divide -68363 by 499.
-137
Divide -41139 by 63.
-653
What is 1441710 divided by -30?
-48057
What is 63540 divided by 3?
21180
Calculate -5 divided by -107820.
1/21564
Calculate -5150775 divided by 1716925.
-3
Divide -114695 by 1015.
-113
66198 divided by 649
102
What is -7 divided by 92326?
-7/92326
298 divided by 5292
149/2646
Calculate 408730 divided by 5.
81746
What is 28544 divided by -1784?
-16
Divide 34439 by -10.
-34439/10
1358535 divided by -9635
-141
What is 193 divided by 23?
193/23
What is 480 divided by 480?
1
Calculate 556695 divided by 45.
12371
141806 divided by 98
1447
Calculate 0 divided by -101369.
0
What is -171928 divided by 21491?
-8
1156 divided by -4
-289
What is -3863 divided by 13?
-3863/13
Calculate -318 divided by -1580.
159/790
-21396 divided by -2
10698
Calculate 3 divided by -51879.
-1/17293
Calculate -11489 divided by -1.
11489
Calculate 636207 divided by 13.
48939
Divide 365926 by -8.
-182963/4
4147 divided by -4
-4147/4
-30726 divided by -6
5121
Divide 2915799 by -3.
-971933
Divide 0 by 36661.
0
Divide 74 by 43437.
74/43437
Divide -6 by 8054.
-3/4027
Calculate -4 divided by -111798.
2/55899
What is 3604 divided by -53?
-68
Divide -1318506 by 3.
-439502
Calculate 24633 divided by 8211.
3
101516 divided by -82
-1238
Calculate 7289 divided by 19.
7289/19
695 divided by -54
-695/54
What is 1905 divided by 5?
381
Calculate 47124 divided by -21.
-2244
Calculate -67306 divided by 461.
-146
3460500 divided by -3
-1153500
8242398 divided by 13446
613
930912 divided by 4
232728
Calculate 91170 divided by -2.
-45585
What is -1 divided by 340793?
-1/340793
Calculate -204390 divided by 6813.
-30
-51710 divided by -9
51710/9
What is 1307353 divided by -6?
-1307353/6
Calculate 68438 divided by -2.
-34219
Calculate 5 divided by -172101.
-5/172101
Calculate -82091 divided by -13.
82091/13
What is 0 divided by 20121?
0
1307135 divided by -261427
-5
What is 2425 divided by 472?
2425/472
What is -52899 divided by 9?
-17633/3
What is 111354 divided by 7?
111354/7
Calculate 341257 divided by 1.
341257
Divide 605 by -161.
-605/161
Divide 55977 by -397.
-141
Calculate -5 divided by 11099.
-5/11099
341538 divided by -1
-341538
Divide 921448 by -44.
-20942
85808 divided by 4
21452
What is 0 divided by 1810?
0
Divide -264712 by 4.
-66178
Calculate -4910 divided by 2.
-2455
Calculate 185223 divided by 61741.
3
Divide -8805 by -168.
2935/56
Calculate -117789 divided by 3.
-39263
Divide -855368 by -106921.
8
-13255904 divided by 2
-6627952
-450041 divided by 5
-450041/5
What is 1430232 divided by 24?
59593
56960 divided by -356
-160
Calculate 98864 divided by 2.
49432
Divide -118627 by -6.
118627/6
-197675 divided by 197675
-1
2 divided by 44844
1/22422
298747 divided by -9637
-31
Calculate -64 divided by -1303.
64/1303
What is -9112 divided by -68?
134
-6 divided by 141360
-1/23560
Divide -21368 by -5.
21368/5
What is -2726086 divided by 17?
-160358
Calculate 11124540 divided by 4.
2781135
Calculate -10157 divided by 321.
-10157/321
Divide -4162 by 22.
-2081/11
-3829056 divided by -12432
308
What is -851828 divided by 3?
-851828/3
What is 3 divided by 3752?
3/3752
153 divided by -122
-153/122
What is 20774 divided by 1222?
17
Divide 3156881 by -791.
-3991
Divide -651612 by 39.
-16708
Calculate 361 divided by -751.
-361/751
What is 768120 divided by 1480?
519
What is -1 divided by -12969?
1/12969
What is 5 divided by 14810?
1/2962
Calculate 27055 divided by -4.
-27055/4
-6 divided by -137992
3/68996
11272 divided by 11272
1
Calculate 16176 divided by 16176.
1
-17066 divided by 88
-8533/44
Divide 0 by 786927.
0
Divide 8979 by -8979.
-1
Divide 3893104 by 15698.
248
Divide -140206 by 140206.
-1
Divide -9000 by 23.
-9000/23
What is 0 divided by -17384?
0
-535068 divided by 18
-29726
6701 divided by 133
6701/133
Calculate -113798 divided by 1.
-113798
Divide -68284 by 8.
-17071/2
Divide 108196 by 22.
4918
-2155 divided by 24
-2155/24
Divide 75262 by -622.
-121
Divide -12907480 by -2.
6453740
Calculate 0 divided by 20587.
0
Calculate 69208 divided by 8.
8651
-29 divided by -31950
29/31950
-360 divided by -355
72/71
Calculate 65 divided by -133.
-65/133
Calculate 5 divided by -132031.
-5/132031
What is 92916 divided by -356?
-261
What is -4 divided by 129212?
-1/32303
Calculate 765212 divided by 2.
382606
Calculate -1197 divided by 238.
-171/34
What is -2360 divided by 1?
-2360
What is 83280 divided by -5?
-16656
187062 divided by 3
62354
Divide 1 by -2.
-1/2
1 divided by 158002
1/158002
What is -815 divided by 125?
-163/25
Divide 2189600 by 13685.
160
Calculate -18681 divided by 6227.
-3
Calculate -28 divided by -1433.
28/1433
What is -13796 divided by 2?
-6898
3027 divided by -1
-3027
10 divided by 929
10/929
Calculate 16888 divided by 1.
16888
What is -755755 divided by 455?
-1661
Calculate 1122561 divided by -2277.
-493
What is -2761824 divided by 172614?
-16
3 divided by 9080
3/9080
Calculate 1643 divided by 15.
1643/15
What is -1070 divided by 17?
-1070/17
Calculate 0 divided by -2644.
0
What is -306875 divided by 25?
-12275
What is -476289 divided by 51?
-9339
-1 divided by 343488
-1/343488
Calculate -10270 divided by 13.
-790
Divide -761015 by 5.
-152203
Calculate 35 divided by -17534.
-35/17534
-2142 divided by 759
-714/253
289 divided by -491
-289/491
Divide -1771978 by -8018.
221
16 divided by -1101
-16/1101
Calculate 160417 divided by -3.
-160417/3
-180149 divided by 17
-10597
Calculate -153349 divided by 133.
-1153
Divide -604 by 1327.
-604/1327
-672 divided by -3
224
Calculate 409170 divided by 30.
13639
18385 divided by -10
-3677/2
Calculate -5 divided by 14986.
-5/14986
-1 divided by -349359
1/349359
-14288 divided by -16
893
Calculate 1183281 divided by -759.
-1559
What is 599612 divided by 46124?
13
What is -507101 divided by 7?
-72443
Divide 50343 by -173.
-291
What is -127744 divided by 31936?
-4
What is 55332 divided by -6?
-9222
Calculate -941967 divided by -13.
72459
Calculate 256356 divided by -4.
-64089
Divide 43 by -325.
-43/325
What is -165868 divided by 2?
-82934
What is -240748 divided by -1?
240748
Divide -8035 by -5.
1607
-49160 divided by -8
6145
Calculate -64272 divided by 16068.
-4
What is -21630 divided by -29?
21630/29
Calculate -1266753 divided by -40863.
31
5038736 divided by -7681
-656
-596268 divided by -3
198756
What is -530384 divided by 4?
-132596
1200472 divided by 182
6596
What is 23916 divided by 1993?
12
Calculate 113505 divided by -5.
-22701
Calculate 1654563 divided by -31.
-53373
Divide -9312 by -3.
3104
What is -3231 divided by -1?
3231
What is -251680 divided by 2?
-125840
What is -630864 divided by 156?
-4044
What is 81170 divided by -16234?
-5
What is 69248 divided by -16?
-4328
What is -1126770 divided by 6?
-187795
What is -17364 | {
"pile_set_name": "DM Mathematics"
} |
. Suppose 15 = -5*l - v. Calculate c(l).
-11
Let i(p) = -p**2 - p + 7. Suppose 9*d = 4*d. Calculate i(d).
7
Let a(v) = -2*v**3 + 4*v**2 - 4*v + 2. Let n = -12 + 14. Determine a(n).
-6
Suppose 0 = 5*y + 4*p - 20, y - 5*p + 25 + 0 = 0. Let h = 9 - 4. Suppose y = -6*d + d + h. Let r(m) = 2*m. Give r(d).
2
Suppose 10*x + 5 = 35. Let j(n) = -11*n + 8. Let h(k) = 17*k - 12. Let t(q) = -5*h(q) - 8*j(q). Calculate t(x).
5
Suppose 0 = -3*c - 4*x - 24 - 8, 3*x + 27 = -3*c. Let s = 3 + c. Let o(r) = -r + 1. Let l(y) = 3*y**2 - 3*y + 6. Let b(g) = -l(g) + 5*o(g). Determine b(s).
-2
Let y(k) = k**2 + 5*k - 3. Let t be (-10)/(-8) + (-6)/(-8). Suppose -t*q - 15 = -5*q. Suppose 4*g + 3*a - 2*a + 25 = 0, 0 = -q*g + 2*a - 15. Determine y(g).
-3
Let i(s) = -3*s + 1. Let j(g) = 2*g - 1. Let x(f) = 5*i(f) + 8*j(f). Give x(6).
3
Let f(z) = 2*z - 7. Let b be f(5). Let d be ((-1)/b)/(2/(-18)). Let n(g) = -g**3 + 3*g**2 + 2. Calculate n(d).
2
Let r(g) = g**2 - 20*g - 15. Let a be r(21). Let f(b) = -b + 3. Determine f(a).
-3
Let s(g) = -3 + 0 + 4 + 5*g. Let d(f) = 4*f**2 + 9*f - 11 - 3*f**2 + 2*f. Let c be d(-12). What is s(c)?
6
Let p(q) = q - 6. Let y(x) = -x + 7. Let d(u) = -4*p(u) - 3*y(u). Give d(3).
0
Let z(g) be the third derivative of -g**7/2520 + g**6/720 - g**5/15 + 4*g**2. Let y(x) be the third derivative of z(x). What is y(2)?
-3
Let x(j) be the second derivative of j**3/3 - 4*j**2 + 2*j. Let i(h) = 2*h - 18. Let o be i(12). Determine x(o).
4
Suppose -18 = -4*d + 2*t, -t = 5*d - 3*t - 22. Let c(p) be the second derivative of 0*p**2 - 1/12*p**d - 2*p - 2/3*p**3 + 0. Give c(-2).
4
Let s(d) be the first derivative of d**6/360 + d**5/20 + d**4/6 + d**3/3 - 4. Let o(g) be the third derivative of s(g). What is o(-4)?
-4
Let s(t) = t**2 - t + 18. Let w = -23 + 23. Determine s(w).
18
Let y(b) = b**2 + 3*b - 3. Let m(v) be the first derivative of -v**4/4 + 2*v**3 - 5*v**2/2 - 4*v + 1. Let g be m(5). What is y(g)?
1
Let c(v) = 3*v - 2*v - 1 - 2*v. Let w be c(1). Let x(y) = 3*y + 22 - 22. Give x(w).
-6
Let f(i) = -i**3 + 6*i**2 - 5*i. Suppose 2*s = 3*s + 14. Let p = 28 + s. Suppose -5*b = -r - 20, 4*b = r + p + 1. Calculate f(b).
0
Suppose 19 + 3 = 2*i + 2*v, -2 = 2*v. Let d(j) = j**2 - 11*j - 15. Calculate d(i).
-3
Let f = 5 - 4. Let a(m) = 2*m**2 + 1. Let y be a(f). Let t(w) = -w - 4*w + 3*w - 1 + y. Determine t(-2).
6
Suppose 4*m = -5 + 17. Suppose m*j = -7 + 19. Let r(x) = 3*x + x**3 - j - 3*x + 2 - x + 5*x**2. Calculate r(-5).
3
Let i(q) = -8*q + 13. Let u(h) = -h - 1. Let z(v) = -6*v + 13. Let d(s) = u(s) + z(s). Let m(n) = -7*d(n) + 6*i(n). Determine m(5).
-1
Let x be 3/(-9)*(1*-3)/(-1). Let w(z) = 17*z**3 + z**2 + z + 1. Calculate w(x).
-16
Let r(k) be the third derivative of -k**4/12 - 2*k**3/3 - 5*k**2. Calculate r(4).
-12
Let d(h) = 90 + 0*h - h**2 - 88 + h. Give d(5).
-18
Let f be (-8)/4*1*-1. Let d be 16/5 - f/10. Let g(x) = -5*x - x**3 + 3 - 5*x**2 + 2*x**3 + 3*x**2. Determine g(d).
-3
Suppose i - 5*d + 14 = 0, i - 5 + 3 = -3*d. Let n(q) = 2*q. Give n(i).
-8
Let s(a) = -a**2 + 3*a - 4. Let o(t) = -t**2 + 3. Let l(m) = -m**2 + m + 4. Let d(b) = -2*l(b) + 3*o(b). Let i be d(-2). Suppose -2 - i = -n. What is s(n)?
-4
Let w(c) = c**2 + c + 2. Let u be w(-2). Let x be (u + -2 + -1)*-11. Let j = x + 9. Let f(o) = -o**3 - o**2 - 2*o - 3. Calculate f(j).
5
Let d be (-1 - -1)/(10 + -8). Let m(f) = 2*f**2 - f**3 + d + 2*f - 4 + 7 + 2*f**3. Let y be (1/1)/(1/(-2)). What is m(y)?
-1
Let o = 57 - 62. Let f(n) = -n**3 - 3*n**2 + 7*n - 2. Determine f(o).
13
Let s = 124 + -119. Let t(c) = -c + 11. What is t(s)?
6
Suppose 2*y + 0*j = j, -j + 6 = y. Let o(i) = 0*i - i - y*i + 5*i. Calculate o(-2).
-4
Let p be (6/(-4))/(9/12). Let j(x) be the first derivative of -x**4/4 + x**2 + 2. Give j(p).
4
Let k(a) = a**2 + 13*a - 19. Let t be k(-14). Let f(q) = -4*q - 4. Give f(t).
16
Let g(q) = q**3 + 7*q**2 - 4*q - 6. Let f(i) = -i**3 - 6*i**2 + 3*i + 5. Let x(j) = -3*f(j) - 2*g(j). Suppose -4 = -3*t - 16. Determine x(t).
1
Let v(b) = b. Let w be v(4). Suppose -w*c = c. Let k(a) = -a - 1. Calculate k(c).
-1
Let z = -18 + 19. Let h be (10/30)/(z/(-6)). Let m(g) = -3*g**3 - 4*g**2 - g + 2. Calculate m(h).
12
Let i(w) = w**2 - 5*w + 7. Suppose n - 5*u - 5 = 0, -5*n + 7*u + 25 = 4*u. Calculate i(n).
7
Let d(o) = o**2 - 7*o + 5. Suppose 3*p + 4 = 16. Suppose -5*j + 6 = -p*j. What is d(j)?
-1
Let n(f) = -13*f - 9. Suppose 0 = -u + 4*u + 21. Let g(j) = -6*j - 4. Let y(c) = u*g(c) + 3*n(c). Suppose -2*k - 2 = -0. Calculate y(k).
-2
Let z(l) be the first derivative of l**4/4 + 5*l**3/3 + 4*l - 37. Calculate z(-5).
4
Let d(r) = -r**2 - 4*r + 8. Let w be 23/5 - (-2)/5. Let q = w - 18. Let z = 7 + q. What is d(z)?
-4
Let q be 16/6 - 4/6. Suppose q*b + 4 = 4*b. Let h(j) = 2*j**2 - 3*j. What is h(b)?
2
Suppose 5 = 2*u - 5. Let i(m) = m. Let c(w) = -5*w + 1. Suppose -4 = -0*t - 4*t. Let p(n) = t*c(n) + 4*i(n). Give p(u).
-4
Let o be (-1 - (-14)/8)*-4. Let n(a) = a**2 - 2. Let f = -14 - -3. Let r(m) = 6*m**2 + m - 11. Let q(x) = f*n(x) + 2*r(x). Calculate q(o).
3
Let f(k) = -k**3 - 3*k**2 + 6*k + 2. Let t(b) = -b**2 - 2*b - 1. Let h be t(-5). Let y = 11 + h. Let x = -9 - y. Give f(x).
-6
Suppose -2*w = -2*n - 12, -w = -6*w - 2*n + 44. Let g be w/(-3) + 1/(-3). Let d(y) = -5*y - 3. Determine d(g).
12
Let p(a) = 30 - 15 - 10 - a. Calculate p(-7).
12
Let a(b) be the third derivative of b**7/420 + b**6/360 - b**5/120 - b**4/24 - 2*b**3/3 - 5*b**2. Let o(j) be the first derivative of a(j). What is o(-1)?
-1
Let y(b) = b + 1. Suppose -2*z - 5 + 1 = 0. Give y(z).
-1
Let n(h) = -h**2 - 2*h + 1. Suppose 5*f + 21 = 4*l, -2*l - 2*f + 10 = l. Suppose 2 = -u + l. Suppose 5*g + u = 7. What is n(g)?
-2
Let o(l) = -l**2 - 7*l - 9. Let k be (-231)/22*2/3. What is o(k)?
-9
Let b(x) = 2*x - 7. Suppose 0 = -0*z + 4*z - 24. Give b(z).
5
Let p be 1 - -2*(-2)/(-4). Let j(u) = 3*u - 3*u**p + 6*u**2 - 2*u. What is j(-1)?
2
Let w(m) be the third derivative of -m**5/60 + m**4/8 - m**3/6 - 3*m**2. Calculate w(4).
-5
Let b = 11 - 4. Let h = b + -4. Let x(k) = -k**3 + 4*k**2 - 4*k + 3. Determine x(h).
0
Let p(i) = -4*i**2 + i**3 + 2*i - 2*i + 3 + 0*i. Let w be ((-6)/(-4))/((-15)/(-40)). What is p(w)?
3
Suppose b - 9 = u, 0 = b + u - 4 - 1. Let x(z) be the first derivative of -2 - 1/2*z**2 - b*z. What is x(0)?
-7
Let o = -18 + 11. Let y(c) = 2*c + 4. Determine y(o).
-10
Let t(f) = 5 - 3 + 11*f**3 + 2*f**2 - 3*f**2 - 10*f**3. What is t(2)?
6
Let w(v) = -4*v**3 + v. Let u(p) = -p + 9. Let m be u(8). Determine w(m).
-3
Let m(q) be the first derivative of 1/2*q**2 + 1/4*q**4 + 1 + 0*q + 2/3*q**3. Let g(v) = -v**2 - v - 2. Let z be g(0). Calculate m(z).
-2
Let v be 81/5 - (-2)/(-10). Suppose n + 3*w = -4, -3*w - v = 3*n + n. Let i(z) = z**3 + 5*z**2 + z - 2. Determine i(n).
10
Let k(a) = 10*a - 5. Let d be k(1). Let j(v) be the second derivative of v**4/12 - v**3/2 - v**2/2 - v. Determine j(d).
9
Suppose 2 = 6*j - 4. Let n(g) = 3 + j - 2*g - 5 + 3*g. What is n(6)?
5
Let u(w) be the first derivative of -w**4/4 - 4*w**3/3 - w**2 - 6*w - 1. Suppose 0*y + 22 = -2*t - 2*y, 4*t = 5*y - 44. Let z = t + 7. Calculate u(z).
2
Suppose r + 4 = -r. Let b(a) = -15*a**2 - 1 - a**3 - a + 0 + 12*a**2. What is b(r)?
-3
Let p(t) = -6*t**3 - t**2 - 12*t + 2. Let g(h) = -5*h**3 - 2*h**2 - 11*h + 1. Let r(o) = o - 19. Let w be r(14). Let v(k) = w*g(k) + 4*p(k). Determine v(-5).
-7
Let i(b) = -9*b**3 - 5*b**2 - 10*b. Let y(n) = -5*n**3 - 2*n**2 - 5*n. Let w(h) = 4*i(h) - 7*y(h). Determine w(-4).
-12
Let n(v) = 3 + v - 2*v - v. Suppose -d + 5*c - 5 = 0, -5*d + 5*c + 44 = 3*c. Suppose -2*i = -7*i + d. Calculate n(i).
-1
Let y(v) = 7*v - 13. Let r(q) = -11*q + 20. Let i(x) = -5*r(x) - 8*y(x). Give i(5).
-1
Let h(j) = j**3 - 2*j**2 + j. Let u = 2 + -16. Let z be ((-4)/u)/((-7)/(-49)). What is h(z)?
2
Let c(k) be the third derivative of 1/30*k**5 + 0 + 1/60*k**6 + 1/24*k**4 - 1/6*k**3 + 0*k - 3*k**2. Calculate c(-2).
-11
Let m(n) = -n**3 - 5*n**2 + 7*n + 2. Suppose 0 = 7*a - a + 36. Determine m(a).
-4
Let o be -5 + (-3 - -1) + 0. Let d = o + 10. Let k(m) = 1 + m**d + 4*m**2 - 2*m**3 + 4*m - 3. Give k(5).
-7
Suppose -2*a = -5*a + 12. Let h(l) = l - 6*l**2 - 4*l**3 - a + 3*l**2 + 3*l**3. Give h(-4).
8
Let t(y) = y**2 + 3*y + 3. Let l(s) = -s**3 + 5*s - 4. L | {
"pile_set_name": "DM Mathematics"
} |
+ 4*r - 38*r**2. Give f(i(m)).
-114*m**2
Let a(r) = -3*r. Let g(z) be the third derivative of z**4/12 - 12*z**2. What is g(a(o))?
-6*o
Let b(q) = -4*q + 6. Let y(d) = -d + 1. Let n(x) = b(x) - 6*y(x). Let o(l) = -l**2. Calculate o(n(f)).
-4*f**2
Let y(o) = 2. Let i(g) = -g - 4. Let q(u) = 3*i(u) + 6*y(u). Let l(d) = 7*d. Give q(l(s)).
-21*s
Let w(s) be the second derivative of s**3/3 + 9*s. Let t(p) = -7*p**2. Calculate t(w(a)).
-28*a**2
Let b(f) = -118*f + 1. Let u(v) = v. Give b(u(i)).
-118*i + 1
Let z(j) = -4*j**2 + 9*j + 9. Let t(p) = -p**2 + 2*p + 2. Let b(h) = 9*t(h) - 2*z(h). Let g(l) be the second derivative of 5*l**4/12 - l. Give g(b(s)).
5*s**4
Let a(z) = 148 + z**2 - 148. Let w(t) = -t. Let j(o) = 4*o. Let s(d) = -2*j(d) - 9*w(d). What is s(a(b))?
b**2
Let h(x) be the third derivative of x**5/20 + 2*x**2. Let g(p) be the second derivative of p**4/12 - 7*p. Calculate h(g(y)).
3*y**4
Let n(t) = 14*t**2. Let r(l) = 0 + 8 - l - 8. Give n(r(i)).
14*i**2
Let v(m) = -6*m. Let o(c) = -2*c - 4*c + 13*c - 8*c. What is v(o(p))?
6*p
Let p = -1 + 3. Let u(x) = 2 - x**p - 1 - 1. Let s(w) = 2*w**2. What is s(u(i))?
2*i**4
Let a(v) = v. Let p = -43 - -41. Let d(f) = -f. Let x(k) = p*d(k) + a(k). Let s(z) be the second derivative of -z**4/12 + z. Give s(x(r)).
-9*r**2
Let y = 12 - 10. Let l(z) = -y*z + z - 4*z + z. Let d(u) = 2*u. What is l(d(m))?
-8*m
Let a(o) = -27*o. Let z(q) = -q - 79. Calculate z(a(s)).
27*s - 79
Suppose 0 = -3*d + 6 + 3. Let k(s) = -d*s**2 + 6*s**2 - 4*s**2. Let i(u) = -u**2. What is k(i(b))?
-b**4
Let w(b) = -26*b. Let i(h) = 14*h**2. Calculate w(i(d)).
-364*d**2
Let v(p) = -p + 7. Suppose -3*m + 23 = 8. Let i be v(m). Let x(q) = 6*q**2 + q**2 - q**i. Let h(w) = w**2. Determine h(x(t)).
36*t**4
Let n(c) = -4*c**2 + 16*c - c**2 - 16*c. Let q(l) = l**2. What is q(n(d))?
25*d**4
Let b(y) = -209*y. Let n(k) = -k**2. Determine n(b(c)).
-43681*c**2
Let y = 3 - -6. Let q(n) = 9 - y - n. Let w(v) = -2*v. Determine w(q(a)).
2*a
Let f(q) = q**2. Suppose -r = -5*g + 10, g + 4*r = 3 - 1. Suppose 7*v = m + 4*v + 13, m + 8 = g*v. Let j(i) = 5*i**2 - i**2 - i**m. Give j(f(z)).
3*z**4
Let y(t) = -2*t**2. Let f(p) be the third derivative of p**2 - 1/12*p**4 + 0 + 0*p + 0*p**3. Calculate y(f(x)).
-8*x**2
Let w(p) = 2*p. Let i(s) = 2*s - 8. Let j be i(6). Let c = -2 + j. Let g(m) = m + c*m + m. What is w(g(x))?
8*x
Let a(w) = -2*w**2. Suppose 2*h + 5*v = 7 + 17, 18 = 5*h + 2*v. Suppose -u + 3 = -2*s - 0, -h*s + 10 = 0. Let x(t) = u - 10 + 4*t - 3. Calculate a(x(j)).
-32*j**2
Let m(c) = -21*c. Let k(l) = -13*l. Give m(k(g)).
273*g
Let p(z) = 4*z. Let v(h) = -1. Let d(w) = 3*w - 27. Let i(a) = 2*d(a) - 54*v(a). Calculate p(i(u)).
24*u
Let d(a) = a**2. Let q(m) = m**2 - m. Let l(y) = 60*y**2 - 75*y. Let c(n) = l(n) - 75*q(n). Determine c(d(z)).
-15*z**4
Let z(h) = h. Let t(p) be the second derivative of -p**5/24 - p**3/6 - 2*p. Let l(x) be the second derivative of t(x). Give l(z(j)).
-5*j
Let x(q) be the first derivative of -3*q**2/2 - 24. Let n(j) = 4*j. Determine n(x(g)).
-12*g
Let c(w) = 0 + 2*w**2 + 0. Let u(m) = -3*m + 7. Let a(s) = s - 2. Let i(b) = -7*a(b) - 2*u(b). What is c(i(d))?
2*d**2
Suppose 0 = 2*a - b - 1, -a + 3*b + 1 = 4*a. Let r(g) = -2*g**a + 2 - 2. Let u(f) be the third derivative of f**5/12 - 6*f**2. Calculate u(r(h)).
20*h**4
Let p(q) = -q + 4*q - q. Let a(j) = -j**2 + 7*j - 2. Let c be a(6). Let w(l) = -c*l - l + l + 2*l. What is p(w(h))?
-4*h
Let w(c) = c. Let d(j) = -2444*j. Calculate w(d(k)).
-2444*k
Let f(v) = 24*v. Let q(u) = -39*u**2. Calculate q(f(i)).
-22464*i**2
Let k(a) = 2*a. Let y(r) = r - 574. What is k(y(g))?
2*g - 1148
Let n(j) = -24*j. Let o(q) = 12*q**2. Give o(n(x)).
6912*x**2
Let t(q) = -q. Let s(f) = 8*f - 6. Determine t(s(d)).
-8*d + 6
Let g(x) = -x**2. Let n(u) = -82*u. Give n(g(j)).
82*j**2
Let r(n) = 300*n**2. Let c(i) = 26*i**2. Determine r(c(u)).
202800*u**4
Let j(o) = -o. Let w(v) = -15*v - 11*v + 21*v. Let k(c) = 4*j(c) - w(c). Let y(d) = 3*d + 1 - 1. What is k(y(a))?
3*a
Let z(t) = 17*t. Let x(w) = 4*w. Let j(d) = 26*x(d) - 6*z(d). Let h(s) = -11*s. Determine h(j(v)).
-22*v
Let w(k) be the third derivative of 0*k**4 + 0*k + 0 + 2*k**2 + 0*k**3 - 1/60*k**5. Let f(o) = -o**2. What is w(f(r))?
-r**4
Let d(q) = -q. Let o(b) = -7*b - 3. Let z(c) be the third derivative of 5*c**4/6 + 4*c**3/3 - 4*c**2. Let m(j) = -8*o(j) - 3*z(j). Give m(d(i)).
4*i
Let p(b) = -7*b + 4. Let u(m) = -5*m**2. What is p(u(l))?
35*l**2 + 4
Let g(z) = 37*z. Let k(n) = -5*n**2. Calculate k(g(f)).
-6845*f**2
Let f(m) = 0*m + 7*m - m. Let h(k) = -6*k**2 + 11*k**2 + k**2 - 5*k**2. Calculate f(h(r)).
6*r**2
Let c(f) = 2. Let s(l) = -20*l + 15. Let g(u) = -7*u + 5. Let i(d) = 17*g(d) - 6*s(d). Let h(m) = 5*c(m) + 2*i(m). Let t(k) = -2*k**2. Give h(t(j)).
-4*j**2
Let k(v) be the second derivative of v**4/12 - 8*v. Let x(d) = 12*d**2. Determine k(x(s)).
144*s**4
Let n(l) = -180*l - 7. Let w(f) = 2*f**2. What is n(w(p))?
-360*p**2 - 7
Let k(a) = a**3 + 4*a**2 - 7*a - 2. Let f be k(-5). Let v(o) = -o**3 - o**2 - 2. Let w be v(-2). Let r(x) = f - 8 - w*x**2. Let j(g) = 2*g. Calculate r(j(n)).
-8*n**2
Let f = 5 + -5. Let l = 5 - f. Let u(x) = -2*x + 9 - l - 4. Let o(j) = 3*j**2. Determine o(u(k)).
12*k**2
Let d(o) = o. Let x(j) = j**2 + 8*j + 9. Let i be x(-7). Let u(c) = -c**2 + 4*c**2 - c**i. Calculate d(u(k)).
2*k**2
Let u(l) be the second derivative of l**4/4 + l. Let p(x) = -10*x**2. Determine p(u(o)).
-90*o**4
Let l(z) = 36*z. Let x(j) be the second derivative of -j**3/6 - 8*j. Calculate x(l(u)).
-36*u
Let q(u) = 3*u + 571. Let o(z) = 4*z. Give o(q(k)).
12*k + 2284
Let w(q) be the first derivative of 5/2*q**2 + 0*q + 2. Let l(m) = m. Determine l(w(k)).
5*k
Let o(u) = 144*u**2. Let c(b) = 11*b. Determine o(c(n)).
17424*n**2
Suppose -c + t = -7, 2*t = -2*t - 20. Let w(s) = -s**c - 2*s + 2*s. Let i(x) = -18*x + 8*x + 11*x. Determine w(i(b)).
-b**2
Let v(g) = g**2. Let x(n) = 20*n**2. Calculate x(v(h)).
20*h**4
Let y(a) = 2*a. Let v = 5 - 3. Let d(k) = -2*k**v - k**2 + 0*k**2 + 2*k**2. Determine d(y(l)).
-4*l**2
Let l(z) = -4*z**2. Let o(b) = -21*b + 7. Let u(r) = 11*r - 4. Let m(s) = 4*o(s) + 7*u(s). Calculate m(l(p)).
28*p**2
Let f(o) = 2*o. Let y(c) = 10*c + 3. Let j(s) = 161*s + 49. Let q(u) = 3*j(u) - 49*y(u). Give q(f(t)).
-14*t
Let x(s) be the second derivative of s**4/12 + 2*s. Let n(t) = 3*t - 6. Let w(l) = -2*l + 5. Let m(q) = 5*n(q) + 6*w(q). Give x(m(h)).
9*h**2
Let l(i) be the third derivative of i**6/720 - i**4/8 - i**2. Let f(z) be the second derivative of l(z). Let g(q) = 2*q. Give f(g(p)).
2*p
Let y(a) be the third derivative of -1/30*a**5 + 5*a**2 + 0 + 0*a + 0*a**4 + 0*a**3. Let d(o) be the third derivative of -o**4/12 - o**2. What is d(y(f))?
4*f**2
Let x(f) = -4*f**2 + 5*f. Let j(u) = 6*u**2 - 7*u. Let a(b) = 5*j(b) + 7*x(b). Let y(r) = 5*r. Calculate y(a(s)).
10*s**2
Let f(h) be the third derivative of -h**4/12 + h**2. Let g(c) = 0*c**2 + 3*c**2 - 4*c**2. Determine g(f(k)).
-4*k**2
Let y(s) = 2*s**2. Let i(u) = -4*u + 2*u**2 + 8*u - 4*u. Calculate i(y(j)).
8*j**4
Let z(x) be the first derivative of -44*x**3 + 46. Let m(v) = -v**2. Calculate z(m(w)).
-132*w**4
Let s(d) = 4*d + 3. Let v(z) = 49*z + 35. Let u(b) = 35*s(b) - 3*v(b). Let i(p) = -5*p. Let n(r) = 4*r. Let q(g) = -5*i(g) - 6*n(g). Give q(u(f)).
-7*f
Let g(p) = -51*p. Let t(l) = 29*l**2. Determine g(t(d)).
-1479*d**2
Let x(t) be the second derivative of t**3/3 + 6*t. Let s(n) = n**2. Calculate x(s(k)).
2*k**2
Let f(l) be the first derivative of l**2 + 5. Let u(p) be the first derivative of -p**2 + 4. Determine f(u(j)).
-4*j
Let i(f) = 3*f - 6. Let u(h) = h - 2. Let b(m) = 4*i(m) - 11*u(m). Let t be b(8). Let s(q) = -q + t*q - 2*q. Let x(v) = 2*v. Give s(x(l)).
6*l
Let x(q) = 1067*q**2 - q. Let a(p) = 3*p. Calculate x(a(y)).
9603*y**2 - 3*y
Let y(j) = j**2. Let s(a) = 273 - 7*a**2 - 273. What is y(s(x))?
49*x**4
Suppose -2*h - 10 = 0, 4*x - 1 = 3*h + 22. Suppose 4*c + x = -2*n, 5*c - 5*n - 33 = c. Let a(m) = m**2 + 3*m**c - 2*m + 2*m. Let i(r) = r**2. What is i(a(p))?
16*p**4
Let g(v) be the second derivative of 0 + 0*v**2 + 2*v + 5/6*v**3. Let w(r) = 2*r**2. Determine g(w(h)).
10*h**2
Let o(t) = -6*t. Let z(f) = -2*f - 45. Determine z(o(a)).
12*a - 4 | {
"pile_set_name": "DM Mathematics"
} |
4).
-15
Let u(q) = -100*q**2 - 8044*q + 4556. Determine u(-81).
20
Let l(z) = -18*z**3 + 72*z**2 + 63*z - 8. Calculate l(-1).
19
Let s(x) = -851*x - 171877. Determine s(-202).
25
Let b(j) = -j**3 - 406*j**2 + 437*j + 11544. Give b(-407).
-666
Let w(f) = -2762*f**2 + 1088*f - 1086. Give w(1).
-2760
Let j(m) = 42554*m - 42758. What is j(1)?
-204
Let k(a) = -141*a**3 - 49*a**2 + 55*a - 3. Calculate k(1).
-138
Let o(v) = 3*v**3 + 3*v**2 - 47*v + 143. What is o(0)?
143
Let q(m) = 23*m**3 - 535*m**2 + 146*m - 92. Determine q(23).
92
Let f(q) = 5*q**2 + 11831*q - 190574. Give f(16).
2
Let u(c) = -3*c**3 - 538*c**2 - 74*c + 18789. Give u(-179).
-6
Let g(l) = -7*l**2 + 482*l - 6161. Determine g(52).
-25
Let y(a) = a**3 + 15*a**2 - 202*a + 111. Calculate y(8).
-33
Let b(o) = 8*o**2 + 217*o + 494. What is b(-26)?
260
Let s(v) = 423*v**3 - 188*v**2 + 2*v - 1. What is s(1)?
236
Let u(m) = m**3 + 7*m**2 + 17*m - 40. Give u(15).
5165
Let y(s) = -698*s**3 + 39*s**2 - 38*s - 76. Give y(-1).
699
Let b(p) = p**3 + 49*p**2 - 214*p + 65. What is b(-53)?
171
Let z(x) = -21*x**2 + 4501*x - 14773. What is z(211)?
-3
Let x(d) = 5*d**2 - 295*d + 3326. Give x(44).
26
Let h(q) = q**3 - 45*q**2 + 298*q + 337. What is h(34)?
-2247
Let c(o) = -o**2 - 301*o + 35740. Give c(91).
68
Let k(o) = o**3 - 10*o**2 + 10*o - 49. Calculate k(10).
51
Let m(w) = w**2 + 214*w - 32036. What is m(102)?
196
Let h(o) = -o**3 - 7*o**2 - 739*o - 4375. What is h(-6)?
23
Let f(q) = q**2 - 50*q - 980. Give f(-9).
-449
Let c(m) = 75*m**2 + 762*m + 96. What is c(-10)?
-24
Let p(i) = -10691*i - 138720. Calculate p(-13).
263
Let i(o) = -o**3 - 43*o**2 + 12325*o + 486792. Determine i(-39).
33
Let s(i) = 48*i**2 - 570*i - 4279. Calculate s(-8).
3353
Let h(v) = -2*v**2 - 57596*v + 230417. Determine h(4).
1
Let m(g) = -3*g**3 + 109*g**2 - 87*g + 2211. Give m(36).
375
Let j(l) = -45*l**2 + 304*l - 53. What is j(11)?
-2154
Let r(v) = 220*v**2 + 1878*v - 171. What is r(-9)?
747
Let l(w) = 2364*w - 151396. Determine l(64).
-100
Let q(m) = 183*m**2 + 1951*m + 1251. Determine q(-10).
41
Let t(m) = -m**3 + 1392*m**2 + 12695*m - 120508. What is t(1401)?
-22
Let h(a) = -10*a**2 + 118*a - 2075. Calculate h(15).
-2555
Let r(y) = -3*y**2 - 2035*y + 10268. Give r(5).
18
Let u(a) = 79*a**2 + 267*a - 1078. What is u(4)?
1254
Let c(n) = n**3 - 958*n**2 + 15027*n + 712. Calculate c(16).
-8
Let q(v) = -v**2 + 1298*v + 600975. Calculate q(-362).
55
Let m(k) = 4*k**2 - 100*k - 1761. Give m(37).
15
Let r(k) = k**2 - 29166*k - 758992. Determine r(-26).
0
Let b(w) = -5575*w + 1654. What is b(0)?
1654
Let w(f) = f**3 + 16*f**2 - 389*f - 4002. Give w(-9).
66
Let t(g) = -34569*g + 101632852. Give t(2940).
-8
Let u(v) = v**2 + 272*v - 24818. Calculate u(72).
-50
Let t(y) = -289*y + 56379. Determine t(195).
24
Let s(y) = -4*y**2 - 81*y + 770. Calculate s(-27).
41
Let z(f) = 29247*f + 204941. What is z(-7)?
212
Let s(j) = -1053*j - 6402. Calculate s(-6).
-84
Let f(a) = -259*a**2 + 4627*a + 636. Calculate f(18).
6
Let w(k) = 2*k**3 + 38*k**2 - 55*k - 1446. Calculate w(-19).
-401
Let j(n) = n**3 + 24*n**2 + 371*n + 5273. Calculate j(-19).
29
Let n(v) = v**3 - 77*v**2 - 29685*v - 2097. Give n(-138).
-27
Let k(h) = -42782*h + 213905. Determine k(5).
-5
Let r(k) = -680*k + 110051. What is r(162)?
-109
Let d(c) = 16211*c**2 + 48654*c. Give d(-3).
-63
Let v(b) = 1585*b + 10637. Calculate v(-7).
-458
Let i(f) = -937*f + 8000. What is i(8)?
504
Let y(x) = 191*x - 254. Give y(5).
701
Let x(h) = h**2 + 599*h + 16560. What is x(-30)?
-510
Let p(m) = 716*m + 27822. What is p(-39)?
-102
Let d(m) = 227*m - 33845. What is d(149)?
-22
Let b(j) = -31*j**2 + 764*j - 1506. Give b(2).
-102
Let x(a) = -5478*a + 602581. Calculate x(110).
1
Let b(d) = -d**2 - 126*d + 101. Give b(-123).
470
Let b(l) = -3298*l + 115431. Give b(35).
1
Let l(g) = -792*g**2 + 36456*g - 1103. Calculate l(46).
1
Let x(r) = -2*r**2 - 1150*r - 122904. Determine x(-142).
68
Let y(c) = -31*c**2 - 260*c - 49. Determine y(-10).
-549
Let a(t) = -t**3 - 28*t**2 - 4*t - 2689. Determine a(-31).
318
Let a(s) = s**3 - 105*s**2 + 13719*s - 53274. Calculate a(4).
-14
Let l(q) = 25172*q + 3549232. Determine l(-141).
-20
Let k(i) = 34*i**3 - 14245*i**2 - 411*i - 3390. Calculate k(419).
-38
Let c(n) = 5*n**2 + 4993*n + 19907. Calculate c(-4).
15
Let u(o) = 2*o**3 - 10*o**2 + 868*o - 2565. Give u(3).
3
Let r(g) = g**3 + 38*g**2 - 2099*g - 80490. Give r(-39).
-150
Let o(p) = -8070*p + 492266. Calculate o(61).
-4
Let f(j) = 48*j**2 - 5703*j - 12783. Determine f(121).
-78
Let x(a) = 1816*a + 299642. Determine x(-165).
2
Let d(a) = -829105*a + 8291053. Calculate d(10).
3
Let g(u) = -u**3 + 25*u**2 - 49*u - 236. Determine g(0).
-236
Let f(i) = -i**2 - 164*i - 5970. Determine f(-52).
-146
Let q(s) = 17644410*s - 123510877. What is q(7)?
-7
Let b(l) = -l**3 - 1178*l**2 - 5837*l + 141. Determine b(-5).
1
Let x(v) = -25*v**2 - 3219*v + 31889. What is x(-138)?
11
Let s(a) = -8*a**2 + 1525*a - 10617. Determine s(7).
-334
Let d(v) = -v**3 - 42*v**2 - 145*v + 654. Give d(-40).
3254
Let t(d) = 7*d**3 + 19*d**2 - 171*d - 980. What is t(-6)?
-782
Let t(m) = 92*m**2 + 15*m - 1412. What is t(-4)?
0
Let h(c) = -2*c**3 + 72*c**2 - 479*c - 258. Give h(27).
-69
Let k(l) = 1475*l - 446955. What is k(303)?
-30
Let k(y) = -2*y**3 + 11*y**2 + 237*y + 422. What is k(-2)?
8
Let q(v) = 1542447*v + 7712268. Determine q(-5).
33
Let c(f) = 145*f + 15404. Calculate c(-111).
-691
Let j(p) = -p**3 - 144*p**2 - 1689*p - 1231. What is j(-12)?
29
Let w(d) = 2*d**2 + 332*d - 2082. Calculate w(6).
-18
Let i(q) = q**3 - 28*q**2 - 236*q + 278. What is i(30)?
-5002
Let n(s) = 7628*s + 3104596. Give n(-407).
0
Let v(o) = -690226*o - 10353385. What is v(-15)?
5
Let u(s) = 4*s**2 + 261*s + 394. What is u(-64)?
74
Let a(o) = -3*o**2 + 610*o - 24437. Determine a(149).
-150
Let m(w) = 1231*w + 1241. What is m(-1)?
10
Let j(k) = -4*k**2 - 649*k + 8177. Give j(12).
-187
Let a(f) = 34541*f + 5699211. Determine a(-165).
-54
Let a(j) = -2*j**3 - 17*j**2 + 278*j - 134. Calculate a(8).
-22
Let l(j) = -21*j**3 + 14*j**2 + 296*j + 979. Determine l(-4).
1363
Let r(d) = 296*d**2 + 41143*d - 150. Give r(-139).
-11
Let k(n) = -530*n - 298389. Determine k(-563).
1
Let t(a) = a**2 - 2059*a - 4129. Give t(-2).
-7
Let z(s) = 1863*s**2 + 9296*s - 8. Give z(-5).
87
Let k(o) = 5*o**3 + 685*o**2 - 688*o + 308. Determine k(-138).
32
Let l(k) = -3712*k + 89157. Calculate l(24).
69
Let k(y) = -2200*y - 96853. Determine k(-44).
-53
Let t(w) = -2*w**3 - 262*w**2 - 662*w + 45005. Give t(-127).
47
Let g(d) = -758*d**3 + 2*d**2 + d - 1. Calculate g(1).
-756
Let s(r) = 3*r**3 + 51*r**2 - 1076*r + 414. Give s(12).
30
Let j(z) = 5*z**2 - 5469*z + 91449. Give j(17).
-79
Let r(z) = -z**3 + 38*z**2 - 132*z + 55. What is r(35)?
-890
Let q(l) = 58*l**3 + 13*l**2 - 74*l - 88. Give q(-1).
-59
Let h(f) = 12*f**3 - f**2 + 171*f - 1122. Calculate h(6).
2460
Let s(t) = -322*t**3 + 3543*t**2 - 36*t + 278. Determine s(11).
3
Let p(n) = 3909*n - 30352. Give p(8).
920
Let k(s) = 10723*s - 75000. Give k(7).
61
Let o(k) = -k**3 - 88*k**2 + 3547*k - 208. Determine o(30).
2
Let j(s) = 10005*s + 60088. Give j(-6).
58
Let i(j) = 8*j**3 - 1496*j**2 - 20*j + 3741. Determine i(187).
1
Let w(q) = 275*q - 50064. Determine w(182).
-14
Let j(o) = -635*o**2 - 6997*o - 83. What is j(-11)?
49
Let d(m) = -215814*m - 863418. What is d(-4)?
-162
Let j(x) = x**3 + 9*x**2 - 83*x - 688. Determine j(-10).
42
Let t(p) = -3*p**3 + 2743*p**2 - 3634*p - 16443. What is t(913)?
-9
Let w(l) = -l**2 + 3396*l + 281640. What is w(-81)?
3
Let j(p) = p**2 - 210*p - 7676. Calculate j(-27).
-1277
Let c(a) = 3*a**3 + 121*a**2 + 469*a + 3887. Determine c(-37).
224
Let z(q) = -11*q**3 - 3487*q**2 + 20*q + 6350. Give z(-317).
10
Let q(z) = 9*z**3 + 25*z**2 - 210*z - 130. Give q(7).
2712
Let p(a) = a**3 - 19*a**2 - 253*a + 5144. Determine p(20).
484
Let i(l) = l**2 - 2*l - 612. Determine i(-24).
12
Let b(j) = -5*j**2 - 286*j + 567. Determine b(2).
-25
Let p(k) = 810119*k - 5670847. Give p(7).
-14
Let d(f) = -241*f + 12016. Determine d(34).
3822
Let n(q) = 172*q + 70197. What is n(-408)?
21
Let y(u) = 49*u**2 - 5325*u - 66604. Calculate y(120).
-4
Let p(n) = -n**3 - 60*n**2 + 86*n + 1163. Calculate p(-61).
-362
Let f(m) = -6745*m | {
"pile_set_name": "DM Mathematics"
} |
10 = -4*k, -2*g - k = -3*g + 8. Suppose 0 = g*s - 15 - 6. Suppose 3*u - 54 = s*y, -6 = -u + 4*y - 3. Solve l + 4*j = 24, -l + u = l + 3*j for l.
4
Let i(r) = -r**3 + 14*r**2 + 2*r - 30. Let s be i(14). Let d be (-16)/(-2)*6*s/(-4). Solve 4*z - l + 3*l = 24, 3*z + 3*l = d for z.
4
Let c be -11 + 4 + 20 - 10. Solve -c = z - m, 2*m - 42 = -5*z - 36 for z.
0
Let s be (-8 + 6 - 2)/((-4)/82). Suppose -85 = -3*q - s. Solve q = 5*i - 19, -5*r - 21 = i for r.
-5
Let m be -1*(0/14)/27. Suppose -2*q - 1 + 13 = 4*c, -4*q - 20 = -3*c. Solve m = 5*h + 5*n - 0 + 20, 5*h + c*n = -16 for h.
0
Suppose 2*h - u - u = 28, -h + 14 = -5*u. Solve 2*o = 3*z - 1, -h = 3*z - 5 for o.
-5
Suppose 12 = -2*d, -2*i - 14*d = -13*d - 2. Solve 2*g - 12 = -3*f, -i*f + 6 = -3*g - 10 for g.
0
Let g(t) = 4*t**2 + 80*t + 81. Let b be g(-19). Solve 3*q - 64 = -b*c - 82, 0 = 2*c + q + 7 for c.
-3
Let g be (0 - 8/12)/((-8)/36). Suppose -g*p - 2*t - 4 = 3*t, -6 = 3*t. Solve -4 = -p*k, -2*r + r = 5*k - 10 for r.
0
Let i(f) = -3*f**2 + 51*f - 153. Let k be i(4). Solve 0*o - 16 = -o + k*d, 0 = -2*o + 3*d + 17 for o.
1
Let x(b) = 23 - 10 + 2*b - 28. Let s be x(-16). Let v = -43 - s. Solve -o = -3*a + 14, v*a + 0*a = -3*o - 3 for a.
3
Let h(q) = -q**3 - 19*q**2 - 50*q - 23. Suppose 49*k - 240 = 64*k. Let p be h(k). Solve -4*m + m - 3*d = p, 3*m = -2*d - 8 for m.
-2
Suppose 2*j + 9*r - 10*r + 3 = 0, 0 = -4*r + 12. Suppose j = -5*k - 3*o + 42, 26 = 8*k - 3*k - o. Solve 4*y = 5*f + 5 + 32, 0 = 3*y + 3*f + k for y.
3
Suppose 7*u = 5*u + 4*l, -u + 3*l = -4. Let s be 663/68 + 6/u. Solve 3*c - s = 3*f, -2*f - 2 = -3*c + 4 for c.
0
Let i = -217 + 91. Let h = -120 - i. Solve -3*m + 11 = 2*y - 2, -4*m + h = -3*y for m.
3
Let b = 4 - 28. Let r be ((-203)/21)/((-3)/9). Let u = b + r. Solve -5*v - 4*j + u = 10, 3*j - 15 = 0 for v.
-5
Let k be 6 + (-33)/3 + 0. Let g be k/10 + 5/2. Solve o = 4*z - 4, 6*o - o - 2*z = -g for o.
0
Suppose 540*v = 489*v + 10761. Solve -210*b = -v*b + n + 7, b + 8 = -2*n for b.
2
Suppose -16 - 29 = -3*q. Let x(s) = -1 + 3*s**2 - 13*s**3 + q*s**3 + 7*s - 9*s**2 + 0. Let f be x(3). Solve -4*c - f = 3*k - 4*k, -4*k + 4*c + 32 = 0 for k.
4
Let k = 5 - -10. Suppose 4*s - 3*q - 17 = 0, 36*s = 38*s + 2*q - 12. Solve -2*t + n = -5*t + 7, -5*t = s*n - k for t.
2
Let i(t) = -2*t**2 + 141*t - 466. Let g be i(67). Solve 0 = 3*o - g*n - 21, 3*o + 7 = 2*n + 28 for o.
7
Let m = 11478 - 11452. Let b = 7 - -23. Solve 7*v - 2*v = 4*g - m, b = 5*g - 5*v for g.
4
Suppose -3*l - 2*j = 1, -141*l = -139*l - 5*j - 31. Solve l*x = 4*y + 3, -2*y = 3*x + 19 - 4 for x.
-3
Let v = 11 + -22. Let p = -8 - v. Suppose -126 = -143*u + 363 - 60. Solve 2*b = p*s - 10, u*b + 14 = 5*s - 1 for s.
0
Suppose -3*h = 15, -10 + 4 = -4*w - 2*h. Solve -8 = k - w*d, -5*d = 3*k + 1 - 11 for k.
0
Let f(k) = 24*k + 988. Let i be f(-41). Solve 2*g - 10 = -l, -6*l + i*l = -3*g + 1 for l.
4
Let l be -4*(126/(-24) + 2). Suppose s - 1 = 4. Suppose 2*n + 3*t = 0, 3*n + 3*t - l = s*t. Solve n*r = g - 2, r + 2 = 2*g + 3 for g.
-1
Let j(f) = 34*f + 1566. Let k be j(-46). Solve 5*t + 5*r - 48 = -43, -k*t - 5*r - 1 = 0 for t.
2
Suppose 28*s + 102 = 31*s. Let u = s + -32. Solve -g + 12 = -2*m, -6*g + 3 = m - u*g for m.
-5
Let f(p) = -p**3 + 48*p**2 + 114*p - 696. Let u be f(50). Solve 2*n - 4 = -u*z - 0*z, -3*z = 2*n - 1 for n.
-4
Let k be 1 + 4/2 - (-10 - -8). Suppose 4*o + 0 = 12, -k*t = o - 23. Let f = -6 - -9. Solve -28 = -4*i - t*b, 0 = f*i - 0*b - b - 1 for i.
2
Let n(h) = -100*h + 1524. Let s be n(15). Solve -5*p = -16*j + 19*j - 25, -s = -4*j - 2*p for j.
5
Suppose 9 = -3*j - a - 51, 4*j + 4*a = -88. Let w = -20 + 4. Let k = w - j. Solve -4*v = -5*r + 15, 0 = r - v - 4*v - k for r.
3
Suppose -5 = -4*w + 5*i, -2*w = 2*i - 7 - 9. Suppose -w*v = -5*y + 45, 13 - 5 = -2*v. Solve 0 = -j + 2*j + 5*a - 1, -y*j + 2*a + 5 = 0 for j.
1
Let h = -109 + 137. Let v be 76/h - (-14)/49. Solve v*d - 8*d + 12 = -4*m, m + 3 = d for d.
0
Suppose 24 = 3*j - 3*d, 4*j + 3*d - 1 = 3. Solve -4*c + 5*a - 20 = -5*c, -12 = -j*a for c.
5
Let d(s) be the second derivative of -23/2*s**2 + 0 + 2/3*s**3 + 13*s. Let a be d(6). Solve -4*f = -v + 2, 0 = 5*v - 4*f + a - 11 for v.
2
Let d = -6727 + 6804. Solve 10 = -b + 3*w, d*b - 2*w + 8 = 75*b for b.
-1
Let q = -155 + 160. Solve 25 = 4*d + q*h, 4*d - 12*h - 16 = -8*h for d.
5
Let k = 7145 - 7138. Solve f = 1, -k*j + 3*f - 3 = -10*j for j.
0
Suppose 2*q = -5*g + 3*q + 3, 0 = -3*g - 2*q + 7. Let s be -2 - g - ((3 - 3) + -3). Solve -l = -3*l + 4*n + 16, s = l + n + 4 for l.
0
Let z(s) = s**2 + 97*s + 872. Let u be z(-87). Let i be (4 - -2)*(-4)/(-6). Solve -5*c = 10, u*j - i*j + 4*c + 18 = 0 for j.
5
Let c(z) = z**2 - 20*z + 20. Let r be c(19). Let p be 6*(-5 - -4)*r/(-2). Solve 4*l - 16 = -2*x, 4*l - 9 = 3*x - p for l.
3
Let p be (-58)/(-203) - (3/(-4) + 5841/(-308)). Solve -5*u - p = 3*z, -u + 9*z - 8*z + 4 = 0 for u.
-1
Let t(d) = -d**2 - 34*d - 12. Let s be t(-35). Let f = s + 67. Suppose 4*n + 22 = 62. Solve 2*i - n = 2*c - 0, 0 = 2*i - 4*c - f for i.
0
Let n = 41 + -235. Let h = 198 + n. Let w = -1 - -10. Solve 5*q - 7 = -2*d, w*d - 8 = h*d - 3*q for d.
1
Suppose -i = 4*z + 92 - 71, 2*z = -4*i. Solve s + 13*v - 8*v + i = 0, 0 = -s + 3*v - 3 for s.
-3
Let c = 45983 + -45981. Suppose -m = -0 - 4. Solve -c*r = -7*r - 3*v - 23, -m*v = -4*r - 12 for r.
-4
Let r = -43101 - -43104. Solve -r*f = -5*w - 4, 3*f = 7*w - 41 + 43 for w.
1
Suppose -19 + 19 = -19*h. Solve s + o = h, 10*s - 8*s + 9 = -5*o for s.
3
Let v(b) = -b - 16. Let t be v(-6). Let u(g) = 0 + 2 - 3*g + 2*g + 0. Let z be u(t). Solve -2*a - 3*a = 0, -3*r - a - z = 0 for r.
-4
Let b(t) = -t**3 - 14*t**2 + 82*t - 186. Let z be b(-19). Solve -d = 0, -64*d + z*d + 4 = 4*i for i.
1
Let x be 0 + (114 + -4)/(5 + -6). Let g be (x/66 + 2/1)*6. Solve w + g*w + 2*z - 3 = 0, 3*w + 5*z + 6 = 0 for w.
3
Let n be 2*6/(-8)*132/(-66). Solve -2 = a + n*d + 2, 1 = a - 2*d for a.
-1
Let v = -4 + 8. Let w(f) = 3*f**2 - 20*f - 9. Let y be w(7). Let a be y - (6 - -64)/(-7). Solve 2*r - 5*k - 28 = -k, 3*r + a = -v*k for r.
4
Let p be 5/(3 + (2 - 6)) + (2 - -3). Solve p = 5*u - 4*d - 23, -49*d = -3*u - 47*d + 13 for u.
3
Let h be (5 - (-2 - -1) - 2) + 6. Solve -4*s - 24*a = -22*a + 22, -h = s + 2*a for s.
-4
Suppose 2*t - v - 19 = 2*v, 2*v + 6 = 0. Suppose 0 = -13*i + 7*i + 60. Suppose 31 = i*y - 9. Solve 2*l = -j - j + y, t*j - 22 = -l for l.
-3
Suppose -5*k + 414 - 394 = -2*t, 5*t - 5*k = -5. Solve -3*d = 14*w - 10*w - 31, -t*w + 35 = 0 for d.
1
Suppose 0 = 16*r - 12*r - 2*g - 4, -5*r + 3*g + 5 = 0. Let q be 2/(5*r/10). Solve -c - c - q*a = 0, -4*c = 4*a for c.
0
Suppose 4*r - 25 + 22 = 9. Solve -3*u = 2*i - 9, r*u + 4*i - 8*i - 9 = 0 for u.
3
Let c = 1550 - 1550. Let v(z) = -3*z - 8. Let o be v(-4). Solve -i - 4*k - 3 = c, o*i + 9 = k - 3 for i.
-3
Suppose -2*t + 4*v = -34, 2*t - 2 = -8*v + 4*v. Solve t*u - 8 = -4*x + 7*u, -4*x + u = -2 for x.
1
Suppose -3*z = -z - 8. Suppose -4*q - 5*h = 44, -4*q = 49*h + 256 + 316. Solve -z*u = 5*g - 32, g - q*u = -3*u + 1 for g.
4
Let t(s) = 5*s**2 + 6*s - 3. Let g(r) = -r**3 - 10*r**2 - 23*r + 4. Let l be g(-6). Let j be t(l). Solve -26 = f - j*k, 0*f = f - 2*k + 11 for f.
-1
Let g = -42 + 49. Suppose g*m - 47 = -33. Solve 5*h - c + 16 = 0, 3*h + 5*c - m = -6 for h.
-3
Suppose 5*w = 3*d, -7*d + 10*d = -w. Suppose 2*m = -5*x - d*m, 4*x - m = 0. Solve x = 2*i + 6, -4*c - 3*i - 29 = -0*c for c.
-5
Suppose -5*v = 2*v - 2261. Let k = v + -323. Solve k = -j - j + o - 12, 9 = -j + 2*o for j.
-5
Suppose 992*m - 1544 = 996*m. Let j = m - -390. Solve 3*v - 5*o = -2*v - 20, 5*v - j*o = -19 for v.
-3
Let a(i) = 6*i + 231. Let x be a(-43). Let q be x + 20 - (-10 + 2). Solve -5 = -4*v + 4*o + 3, q = 2*v + o for v.
1
Suppose -2*f + 9*f - 30 = -8*f. Solve -f*k = -6 + 10, -5*j + 5*k + 5 = 0 for j.
-1
Suppose 5*h - 174 + 22 = -3*s, -29 = -h - 2*s. Suppose 0 = -t - h + 36. Let g(q) = q**2 - 4*q - 3. Let n be g(6). Solve u + o + n = -u, -t*u = -2*o for u.
-2
Let c be (-33)/(-55) + (-234)/(-10). Suppose c*d - 128 = 8*d. Solve g + 2*g = 5*u + d, 2*g + 3 = -5*u for u.
-1
Let u = -76 - -78. Suppose -u*n - 2 = -3*n. Suppose -38 = -n*l + 3*q, 4*q = -l + q + 1. Solve -c = 2*x + 9, -3*c + 2*c - l = 4*x for x.
-2
Let m(n) = -134*n + 2283. Let y be m(17). Solve o + 24 | {
"pile_set_name": "DM Mathematics"
} |
1104303 to the nearest 1000000.
1000000
What is -9558.476 rounded to the nearest 10?
-9560
What is 273194.7 rounded to the nearest one hundred thousand?
300000
Round 40.858164 to zero dps.
41
What is -355286.5 rounded to the nearest ten thousand?
-360000
Round -0.2398247 to 3 dps.
-0.24
Round -3078.0021 to the nearest ten.
-3080
What is -0.005504426 rounded to 3 dps?
-0.006
What is -1169.3091 rounded to the nearest one hundred?
-1200
What is -0.00000740521 rounded to 7 decimal places?
-0.0000074
Round 0.0325138 to 3 decimal places.
0.033
Round 1326210 to the nearest 10000.
1330000
Round -3102.547 to the nearest ten.
-3100
Round 1.21915 to 1 decimal place.
1.2
Round -89441.2 to the nearest 100.
-89400
What is 1175.3487 rounded to 1 decimal place?
1175.3
Round 2391.21 to the nearest 100.
2400
What is -0.003190948 rounded to six decimal places?
-0.003191
What is -23178920 rounded to the nearest one million?
-23000000
What is -277894000 rounded to the nearest 1000000?
-278000000
What is -4283.1257 rounded to the nearest ten?
-4280
Round 190610 to the nearest ten thousand.
190000
What is -315.128 rounded to 0 dps?
-315
What is -1.632145 rounded to three decimal places?
-1.632
Round -0.0002493454 to 7 dps.
-0.0002493
Round 4835.6498 to the nearest 10.
4840
What is 0.1889895 rounded to 1 dp?
0.2
What is 15.6658 rounded to 0 decimal places?
16
What is -0.00073966 rounded to six dps?
-0.00074
What is 0.0000114540996 rounded to six dps?
0.000011
What is -0.0003519156 rounded to five decimal places?
-0.00035
Round 8762.87 to the nearest one hundred.
8800
What is -1.0397773 rounded to 4 dps?
-1.0398
What is -1.326336 rounded to one dp?
-1.3
Round -8014.092 to the nearest one thousand.
-8000
What is 0.0000218574 rounded to seven dps?
0.0000219
What is 226.90598 rounded to the nearest 10?
230
Round -438400.8 to the nearest 100000.
-400000
What is 85017.8 rounded to the nearest 10000?
90000
What is -0.000009504359 rounded to six decimal places?
-0.00001
Round -8.962001 to one dp.
-9
Round 0.00000022084444 to 7 decimal places.
0.0000002
What is -0.007044 rounded to two decimal places?
-0.01
Round 0.0265468 to two dps.
0.03
Round -89484000 to the nearest 1000000.
-89000000
Round 0.0000232486 to seven dps.
0.0000232
Round -0.00664643 to 3 decimal places.
-0.007
What is 456732.1 rounded to the nearest one hundred?
456700
Round 89.6161 to zero dps.
90
Round 433.113 to zero dps.
433
Round -36.6217 to two dps.
-36.62
What is -9141.598 rounded to the nearest 100?
-9100
Round -447266 to the nearest 100.
-447300
What is 0.000009885 rounded to six decimal places?
0.00001
What is -2514012 rounded to the nearest 1000?
-2514000
Round -88.6704 to the nearest integer.
-89
What is -0.000004997162 rounded to seven dps?
-0.000005
Round 0.0029569 to 5 dps.
0.00296
What is 0.00000617379 rounded to six decimal places?
0.000006
Round 2091054 to the nearest one thousand.
2091000
What is -44420.63 rounded to the nearest 100?
-44400
Round 0.830538 to 3 decimal places.
0.831
Round -652954 to the nearest one hundred thousand.
-700000
What is 61321.3 rounded to the nearest one hundred?
61300
Round -0.001556208 to 5 dps.
-0.00156
What is 0.00000590409 rounded to six decimal places?
0.000006
Round 0.0000173391 to seven dps.
0.0000173
Round 6648.439 to the nearest 100.
6600
Round 0.000081112709 to 6 dps.
0.000081
What is 0.000000803285 rounded to seven dps?
0.0000008
What is 156909.46 rounded to the nearest 1000?
157000
What is -19204900 rounded to the nearest ten thousand?
-19200000
What is -823.866 rounded to the nearest one hundred?
-800
What is -8319.43 rounded to the nearest 100?
-8300
Round -881605.9 to the nearest 100.
-881600
Round -0.007254843 to 4 dps.
-0.0073
What is 390988.49 rounded to the nearest 100?
391000
What is 72767000 rounded to the nearest 100000?
72800000
What is -0.0831477 rounded to 3 dps?
-0.083
What is 223449 rounded to the nearest one thousand?
223000
Round 369.17 to the nearest 10.
370
What is 796475.63 rounded to the nearest one thousand?
796000
Round -168.38053 to 1 dp.
-168.4
What is 1001190.5 rounded to the nearest 100000?
1000000
What is 2982814 rounded to the nearest ten thousand?
2980000
What is -1506900 rounded to the nearest one hundred thousand?
-1500000
Round -15.195112 to zero dps.
-15
What is -5272797.3 rounded to the nearest 1000?
-5273000
What is 3578.817 rounded to the nearest one hundred?
3600
What is 0.11021135 rounded to 3 dps?
0.11
Round -40.718672 to 0 decimal places.
-41
Round -6550557 to the nearest one thousand.
-6551000
What is -93.8031 rounded to the nearest 10?
-90
What is -0.00003141676 rounded to seven dps?
-0.0000314
What is -4.99692 rounded to one decimal place?
-5
What is 1404.01 rounded to zero decimal places?
1404
Round -0.000120051 to six decimal places.
-0.00012
Round 0.0000031915965 to seven decimal places.
0.0000032
Round 14947380 to the nearest one hundred thousand.
14900000
What is -39940040 rounded to the nearest 100000?
-39900000
Round 48.07819 to 1 dp.
48.1
Round 121622100 to the nearest 100000.
121600000
Round 0.000358098 to four decimal places.
0.0004
Round -7763.91 to the nearest one thousand.
-8000
What is -0.00570121 rounded to five dps?
-0.0057
Round 1068.925 to the nearest ten.
1070
Round -155194.9 to the nearest one hundred.
-155200
What is 17525 rounded to the nearest one hundred thousand?
0
What is 0.004143 rounded to four dps?
0.0041
What is 1.372396 rounded to one dp?
1.4
Round -0.0000009095187 to 7 dps.
-0.0000009
What is -61693.83 rounded to the nearest one hundred?
-61700
What is -464.987 rounded to 0 dps?
-465
Round 8903.5 to the nearest ten.
8900
Round 0.0001234007 to 7 decimal places.
0.0001234
Round 0.0000730015 to 5 decimal places.
0.00007
Round -0.028919284 to 3 dps.
-0.029
Round -0.0022555984 to 3 decimal places.
-0.002
Round 8225114 to the nearest ten thousand.
8230000
What is -0.0027768311 rounded to 6 decimal places?
-0.002777
What is -203027000 rounded to the nearest one million?
-203000000
What is 3.969226 rounded to 2 dps?
3.97
What is 0.2501542 rounded to four dps?
0.2502
What is 1373.2 rounded to the nearest ten thousand?
0
What is 0.003548026 rounded to three decimal places?
0.004
What is -45844900 rounded to the nearest one million?
-46000000
Round 4135.69 to the nearest 10.
4140
Round 5616.62 to the nearest ten thousand.
10000
Round -1685492 to the nearest one million.
-2000000
What is -11909340 rounded to the nearest 100000?
-11900000
What is -1301944.6 rounded to the nearest ten thousand?
-1300000
What is -0.003351791 rounded to five decimal places?
-0.00335
Round -17.53464 to one decimal place.
-17.5
Round 9948.5 to the nearest one thousand.
10000
What is 204936.4 rounded to the nearest 1000?
205000
Round -12600500 to the nearest one hundred thousand.
-12600000
Round -570.32 to the nearest 10.
-570
Round -26.77421 to two decimal places.
-26.77
What is 0.0000307002 rounded to 7 decimal places?
0.0000307
What is -90182900 rounded to the nearest 1000000?
-90000000
What is -73.588 rounded to the nearest one hundred?
-100
What is 0.000012940151 rounded to seven decimal places?
0.0000129
Round 284802000 to the nearest one million.
285000000
What is -105244.7 rounded to the nearest 1000?
-105000
What is 0.0000006229144 rounded to seven decimal places?
0.0000006
What is 0.0042465 rounded to three dps?
0.004
What is -165 rounded to 0 decimal places?
-165
Round -3308.589 to the nearest one hundred.
-3300
What is -459.32936 rounded to one dp?
-459.3
What is 121.817 rounded to the nearest 100?
100
What is 0.00150736 rounded to five dps?
0.00151
What is -4129.51 rounded to the nearest 10?
-4130
Round -127226.9 to the nearest 10000.
-130000
What is 0.00002384199 rounded to 5 dps?
0.00002
Round -0.00008905157 to 6 dps.
-0.000089
What is 4036359.4 rounded to the nearest 10000?
4040000
What is 16839690 rounded to the nearest one million?
17000000
What is -0.00000247025 rounded to 7 dps?
-0.0000025
Round 0.000089807 to 5 dps.
0.00009
Round 613.02313 to the nearest 10.
610
What is 145.847 rounded to the nearest integer?
146
What is 0.00166755 rounded to three dps?
0.002
What is 7944129 rounded to the nearest ten thousand?
7940000
What is 666.41 rounded to 0 decimal places?
666
Round -545.616 to t | {
"pile_set_name": "DM Mathematics"
} |
8 for f.
1
Solve -5*a + 3*f - 1 = 0, 14*f + 35 = 2*a - 3 for a.
-2
Solve -77*o + 79*o - 48 = -4*h, 72 = 6*h - 2*o for h.
12
Solve 5*t + 3*m + 510 = 507, 3*m = 2*t - 24 for t.
3
Solve 160*v - 9 = 4*d + 155*v, 0 = 4*v - 20 for d.
4
Solve -4*x + 26 = -j, -40*j + 2*x + 24 = -21*j for j.
2
Solve 4 = -4*g - 68*f + 66*f, -g = 3*f + 16 for g.
2
Solve 55*g - 62*g - 8 = y, 4*g + 4*y = -8 for g.
-1
Solve j - 30*w - 5 = -35*w, -3*j - 4*w + 15 = 0 for j.
5
Solve -3*n = -5*i + 14, -3*n + 29 - 34 = 4*i for i.
1
Solve 312*w - 4*b = 315*w + 30, 0 = -4*b + 12 for w.
-14
Solve -1250*f + 4 = 4*k - 1249*f, 12 = -f - 2*f for k.
2
Solve 2*y + 45 + 80 = 5*r, -2*r - 38*y + 50 = 0 for r.
25
Solve 35 = 5*v - 5*y, 4*v + 5*y = 2177 - 2149 for v.
7
Solve -5 = -5*x + 5*h, 0 = x + 4*h - 25 + 29 for x.
0
Solve s = w, 45 = 2*s - w + 44 for s.
1
Solve 2*z + j = -19 + 8, -z = 3*j + 38 for z.
1
Solve -30*x + 2*f + 106 = 4*x, 5*x + 1 = -f + 14 for x.
3
Solve -5*l + 11 = -2*r + 1, 5*l = 4*r + 10 for l.
2
Solve -24*y - 4*t = -26*y + 14, 2*t = -4*y + 8 for y.
3
Solve 8*k = -3*z + 13*k - 5, 0 = -5*z + 5*k - 15 for z.
-5
Solve -2*c + 5*h + 15 = 0, -5*c + 23 = -140*h + 142*h for c.
5
Solve 2*q - 19 = -5*n, 115*n = -5*q + 117*n - 25 for q.
-3
Solve -19*c = -24*c + 4*d + 10, 5*c - 10 = 2*d for c.
2
Solve 12*t - 3*x = 15*t - 8*x + 20, x - 6 = t for t.
-5
Solve 84 = 5*x - d + 61, 2*d = 2*x - 6 for x.
5
Solve 0 = 8*w - 2*c - 38, -13*w + 15*w + 6*c - 2*c = -22 for w.
3
Solve 4 = 2*v, 5*y = v - 2 + 30 for y.
6
Solve 2*d = -18, 0 = 32*x + 16*d - 21*d - 109 for x.
2
Solve -14*x - 977*f = -974*f + 46, 3*f + 18 = 0 for x.
-2
Solve 3*p + 12 = b, 10*b - 13*b = 9 for p.
-5
Solve -4*c - 3*d - 31 = 0, 0 = 2*c - d + 412 - 429 for c.
2
Solve 0 = -2*r + 4*k + 66, -227 = 2*r + 5*k - 275 for r.
29
Solve 7*t = 4*z + 20, -67*z = -2*t - 68*z + 10 for t.
4
Solve -3*c = -5*m - 23 - 7, m - 20 = -2*c for c.
10
Solve 0 = -3*r - 6*f + 18, -r - 5*f = -16 + 4 for r.
2
Solve -166 + 167 = 4*m - 3*s, 2*m = 4*s + 8 for m.
-2
Solve -16053*n - 5*w = -16051*n - 10, 2*w = -3*n + 15 for n.
5
Solve -15 = 3*t, -2*r = 3*t - 386 + 411 for r.
-5
Solve 0 = -w + 2*l - 8, -3*w + 11 - 19 = -2*l for w.
0
Solve 3*c - 16 = -4*x, -5*x = -8*c + 7*c - 20 for x.
4
Solve 3*p - 2*v = 23, -2*p - 22 = 15*v - 11*v for p.
3
Solve -5*j + r = 18, -5*j = 71*r - 68*r + 26 for j.
-4
Solve -3*d = -5*y - 32, 5*y + 4 + 20 = d for y.
-4
Solve 10*n + 4907*p + 28 = 4911*p, 0 = -4*n + 3*p - 7 for n.
-4
Solve -7*h = 2*x - 90, 79*x = 81*x + h - 6 for x.
-4
Solve 0 = k - m + 13 - 4, 6*m = -4*k - 6 for k.
-6
Solve 221*p = 219*p + 4*w + 4, 66 = 16*p + 2*w for p.
4
Solve 23*s = 3*u - 201, -11 = 940*s - 939*s + u for s.
-9
Solve -11*s - 3*w + 28 + 36 = 0, -s + 20 = 5*w for s.
5
Solve -5*y = -z + 2*z, -5*z - y = 0 for z.
0
Solve -5*q = 3*r - 15, -1268*r + 1266*r + 2*q + 10 = 0 for r.
5
Solve 2*t = -5*f - 17, 8*f = -2*t - 29082 + 29062 for t.
-6
Solve 0 = s - g, 4*g = -3*s + 2*s - 5 for s.
-1
Solve 2*h - 26*x + 36 = -21*x, -6*x + 44 = -2*h for h.
2
Solve -2*u + 2*x + 2 = 0, 136 - 166 = 6*x for u.
-4
Solve -4*b + 16 = 0, -2*j + 5*b - 25 = -3*j for j.
5
Solve -5*x - 5*j = 15, 3*x + 745*j - 746*j = -5 for x.
-2
Solve 4*x + 30 = -530*c + 533*c, -32 = -c + 5*x for c.
2
Solve -2*r + 8 = 2*b, 46*b - 3*r - 24 = 45*b for b.
9
Solve 4*v = -72, 0*v + 42 = 4*b - 3*v for b.
-3
Solve 0 = 4*u + 4*c + 48, -2*u = -4*c - 22 - 2 for u.
-4
Solve -3*z - 1089*o - 26 = -1094*o, -2*o + 8 = 0 for z.
-2
Solve -2*f + 5*x = -16, -f + 6*f = -5*x + 5 for f.
3
Solve -30*x + 35*x = 55, -5*h + x - 21 = 0 for h.
-2
Solve -5*j - 134 = 3*o - 121, 0 = j - 2*o for j.
-2
Solve -102*v - 5 = 4*y - 105*v, 0 = -3*y - 15*v + 117 for y.
4
Solve 5*g - 42 = 3*f, 1132 = g + 2*f + 1134 for g.
6
Solve -2*r - 77 = -5*g - 44, g + 3*r = -7 for g.
5
Solve 2*w - 30 = -4*t, 11100*w + 12 = 11104*w for t.
6
Solve -36 = 5*h + a, -7001*a + 16 = -2*h - 7003*a for h.
-7
Solve 143*f - 147*f - 4*r - 52 = 0, -5*r - 30 = -2*f for f.
-5
Solve 3*f - 5*i + 37 = 0, -2*f + 5*i - 1 - 32 = 0 for f.
-4
Solve 29*x = 4*p + 32*x + 9, -31*p + 4*x = 97 for p.
-3
Solve 5*z + 4*h = -41, -5*z = -88*h + 93*h + 45 for z.
-5
Solve -4*w = -2*w + 4*x, 25 = -10*w - 580*x + 585*x for w.
-2
Solve -a + 5*o + 25 = 0, 23*a - 25*a - 5*o = 40 for a.
-5
Solve 0*o - 15*w = -3*o - 108, 5*o + w = 28 for o.
4
Solve 113*z + i = 115*z + 17, 2*z = 4*i - 32 for z.
-6
Solve 4*y + 14 = -5*f - 101, 16*y = -5*f - 115 for y.
0
Solve -3*c + 4*m + 10 = 0, -208*c = -204*c + 5*m + 28 for c.
-2
Solve b - 11 = 237*o - 238*o, 4*o = -b + 26 for o.
5
Solve -2*g + 26 = -5*u, -5*g - 3*u = -4*u + 4 for g.
-2
Solve 4938*g - 4940*g = -s + 9, -3*g - 4*s = 8 for g.
-4
Solve -2*q + l - 8 = 0, 1219*q + 2*l = 1222*q + 14 for q.
-2
Solve 2661*j = 2660*j + 5*q + 14, 10 = 4*j + 3*q for j.
4
Solve 0 = 4*t - 4*q + 3597 - 3605, -4*t - 4*q + 24 = 0 for t.
4
Solve -2*u = 0, l - 4 = 4*u - 0 for l.
4
Solve -a + 6*x - 20 = -12*x - 6, 0 = -a + 4*x for a.
4
Solve -u + 12 = -3*h, -14*h + 20*h + 5*u = 4*u - 6 for h.
-2
Solve 3*g - 22 = -94*b + 90*b, -4*b = g - 18 for b.
4
Solve 3*y - 6 = -15, -61*v + 57*v + 2*y = -18 for v.
3
Solve -4*s + 1809*r - 1811*r + 4 = 0, 2*s - 2 = r for s.
1
Solve -25 = 5*h - 2*r, 247 = 5*r + 222 for h.
-3
Solve -4*g + 5 = n + 4, 6 = -2*n for g.
1
Solve 3*w + 1 = 2*s, 41798*s + 22 = -w + 41803*s for w.
3
Solve 3*t - 3*c + 38 - 53 = 0, -11*t = -7*c - 43 for t.
2
Solve 2*d + 2*a = -2*a, 0*d - 3*d + 67*a = 70*a + 3 for d.
-2
Solve -44151*o + 6 = -44149*o + 4*g, -2*o = g - 9 for o.
5
Solve 4*f = -13*y - 27, -49*y + 44*y - 3*f - 25 = 0 for y.
1
Solve -6*a + 5*a = -4*g - 15, -25 = 2*g + 3*a for g.
-5
Solve -2*v = n - 23, -10*n - 2*v - 7 = -3 for n.
-3
Solve -19 = -3*i + r, -9*i - 3*r + 28 = -41 for i.
7
Solve -30292*t + 30297*t - 10*w = 45, 0 = -4*t - w + 18 for t.
5
Solve 0 = -55*t + 4*q - 279, q + 4 = 154*t - 79*t - 76*t for t.
-5
Solve -5*c = -j + 16848 - 16832, 0 = -c - 2*j + 10 for c.
-2
Solve -4*k = -2156*t + 2164*t - 8, -3*t + 3 = 4*k for t.
1
Solve 4*m + 22 = -2*s, -1139*m + 1138*m = 4*s + 16 for m.
-4
Solve -5*q = -5*w + 15, -47523*q = -47518*q + 2*w + 8 for q.
-2
Solve -2*c = -4, -4*h + 2*h + 8 = 3*c for h.
1
Solve -107*g = -2*t - 108*g + 10, -5*t - 4*g + 25 = 0 for t.
5
Solve 3*j = 30*c - 35*c - 11, -5*j + 2*c = 8 for j.
-2
Solve -2*o = -4*l - 146, 3*l - 337 = 2*o - 447 for o.
1
Solve 5*f + 3*k - 19 = 0, 3*k - 3 + 24 = 3*f for f.
5
Solve -5 = 41*v - 36*v - 5*n, -3*n - 9 = 0 for v.
-4
Solve 4*l + 12 = -v, -5*l + 14 = -2*v + 42 for v.
4
Solve 5*d + 1 = -7*a, 4525*d - 4528*d - 4*a - 1 = 0 for d.
-3
Solve -a = a + 3*x - 23, 5*a + 75 = 481*x - 462*x for a.
4
Solve 0 = x + 3, -395237*p - 8*x = -395232*p + 49 for p.
-5
Solve -z - 6 = -p, 3*z + 2*p + p + 0*p = 24 for z.
1
Solve -p - 20 = -3*j - 6, -5*p = 5*j - 50 for j.
6
Solve -63*q = -66*q - f - 6, -5*q - f = 12 for q.
-3
Solve 3*w + d = -2 - 1, 5*d = -w - 1 for w.
-1
Solve -2*k = 26*t - 22*t - 56, 3*k + 3*t = 39 for k.
-2
Solve 0 = 4*v - 8*m + 8, v + 2*m + 590 = 600 for v.
4
Solve -25*l + 84 = -24*l + 20*q, 2*l - 16 = -2*q for l.
4
Solve -4*q - 2*w + 10 = -8, -29 = -6*q - w for q.
5
Solve -2*n - 36 = 5*w - 54, -2*w - n + 8 = 0 for w.
2
Solve 5*f - 35 = 2*w, 4*f - 2302*w = -2301*w + 22 for f.
3
Solve 0 = -2*d - z - 9, 122*d - 2*z = 118*d - 22 for d.
-5
Solve -3076*x + 77 = -9*i - 3071*x, 2*i + 21 = 5*x for i.
-8
Solve 21 = -25*q - 2*c, -2*q - 9 = c - 9 for q.
-1
Solve -59*m + t + 39 = -61*m, 9*t = m - 28 for m.
-17
Solve -5*s = 15, 860*s - 855*s = 3*d - 9 for d.
-2
Solve -231*z + 3 = -3*v - 226*z, v + 1 = z for v.
-1
Solve 0 = 2*o, -1083*h + 1084*h + 3*o = 3 for h.
3
Solve 4 = -15*q + 16*q + 2*t, -4*t = 6*q - 16 for q.
2
Solve 4*h - 53 = -5*r + 8*h, 5*h + 50 = 3*r for r.
5
Solve -2*z = 2*h + 18, -933*h + 935*h = -z - 14 for z.
-4
Solve 0 = -3*m - 4*d - 5, -94 = -4*d - 102 for m.
1
Solve -22 = -v + 4*x, 61*v - 5*x = 35*v + 176 for v.
6
Solve -8 = -3*d + 2*b, 2*d + 75 = b + 80 for d.
2
Solve 4*z = 3*c + 20, -2*c - 21292*z = -21293*z + 10 for c.
-4
Solve -1418*l + 1417*l = 3*y, -3*y - 2*l = -3 for y.
-1
Solve -5*c + 8 = -4*d, 3*d = c + 2*c - 3 for c.
4
Solve 4*a - 3*y + 5 = 0, -12 = -4304*a + 4307*a - 5*y for a.
1
Solve -b - 4*c - 130 = -160, -4*b + 70 = 6*c for b.
10
Solve 0 = m - 3*u - 4, -3*u + 523 = 2*m + 506 for m.
7
Solve 3*b | {
"pile_set_name": "DM Mathematics"
} |
ng k is positive.
k**(236945/276)
Simplify ((w*w**0*w)**(1/2)/(w**3/w*w**(-1)))**(-6/11) assuming w is positive.
1
Simplify ((n**(-3)/n*n)/n)/n**1*((n*n**(-1/3))/n)/(n*n*n**(1/4))*(n/n**0*n*(n*(n*n**(1/11))/n)/n)/(n**(3/8)/n*n**(-1/7)) assuming n is positive.
n**(-8731/1848)
Simplify ((d/(d**(2/7)/d*d))/(d/(d*d**(-2/9))))**(-19/3)*(d*d*d/d**(-2/5)*d)**(-35)/(d*d/((d/d**(2/3))/d)*d/(d**(-2)/d*d)*d) assuming d is positive.
d**(-30955/189)
Simplify (((v/(v*v/(v*v**10/v)))/v)/v**(-2/11))/(v/(v/v**(2/23))*v**(-7)) assuming v is positive.
v**(3819/253)
Simplify (m**(3/5)/m**(-3/5))**47*(m**(-4)/((m*(m*m/m**(-1/6))/m)/m*m))/((m**5*m)/m*m*m*m/m**(2/5)) assuming m is positive.
m**(1279/30)
Simplify ((c**(-4))**(-22)*c**(-2/47)/c*(c/(c*c**(-2)*c))/c)**(1/67) assuming c is positive.
c**(61/47)
Simplify ((s**(-1)*s*s)/s)**46*(s**2*s)/s*s/((s**(6/11)*s)/s)*((s/s**6)/(s*s*s*s**(-4/5)))/(s**0)**10 assuming s is positive.
s**(-261/55)
Simplify ((p/((p*p/(p/p**(-2)))/p))/((p/((p*p/p**(-7)*p)/p))/p))**(-1/34)*(p**0)**(-12)*(p*p**(-6))/p**(-2/9) assuming p is positive.
p**(-785/153)
Simplify (c**27*c**0*(c**(-9/2)*c)**(3/16))**(2/29) assuming c is positive.
c**(843/464)
Simplify ((n/((n*n**2)/n))**21/(n*((n**2*n)/n)/n)**29)/(((n**(-3)*n)/(n*n**(-2/7)))/((n*(n*(n*n**(-2/3))/n)/n)/(n**(2/3)*n*n))) assuming n is positive.
n**(-1651/21)
Simplify ((b/(b**1/b*b))**31*b**4/((b/(b**4*b))/b*b))/((b**0/b)**(-2/13)/(b**(-3/5)/b**(-5/3))) assuming b is positive.
b**(1738/195)
Simplify ((r**(1/5)*r)/r*r**(-2/11)*r)**42*r**1*r**6*(r*r**(2/3))**1 assuming r is positive.
r**(8486/165)
Simplify (p**(-6)*p/(p*p*p/((p*p/(((p*p*p**(-5))/p)/p)*p)/p*p))*p**(-2/7)/p**(-2/7))/((p*p**(-2/11))/(p**5/p))**37 assuming p is positive.
p**(1295/11)
Simplify (((((p**(-2/19)*p)/p)/(p*p/(p*p**4*p)))/(p**(-1))**43)**(14/5))**42 assuming p is positive.
p**(523908/95)
Simplify (a/(a*a**(-2/105)))/(a*a*a*a**(-30)/a)*(a/((a**(1/6)*a)/a)*a)/a**15 assuming a is positive.
a**(3119/210)
Simplify ((n**(-30)*n**(1/3))/(n*n/(n/n**(-2/75))*(n*n/(n/n**31))/n))**(23/3) assuming n is positive.
n**(-35443/75)
Simplify ((o**(-2/9)*o)**(-36)/((o/o**(-2/5))/o**(-2/3)))**(-5/8) assuming o is positive.
o**(451/24)
Simplify (s**(-1)*s)**(2/35)*(s*s/s**(-1)*s*s)**(-20/11)*((s/(s*s/((s**(-2)/s)/s))*s)**(-46))**(-44) assuming s is positive.
s**(-89156/11)
Simplify (z**(1/10)*z*z/(z/z**6*z)*z)**(1/24)/(((z/(z/((z*z**(-2))/z)))/z)/z*z*z**(-1)*z*z*z*z)**(-18) assuming z is positive.
z**(71/240)
Simplify (((a**3/a)/a)/(a/((a/(a/a**(3/5))*a)/a)*a))**15*(a**(-6)*a*a**(-3/8)/a)/(((a*(a**(1/3)*a)/a)/a)/a**(-4/9)) assuming a is positive.
a**(-947/72)
Simplify ((v**(-5)/v)**(-17/3)*(v**4)**(1/12))**(-2/77) assuming v is positive.
v**(-206/231)
Simplify ((z**(-2/3)*z)**(-40)*(z**(-2/7)*z)/(z/z**(5/6)*z))/(z**(-7)*z*z**(-8)/z*(z/(z/((((z*z/z**(-2))/z)/z*z)/z)))**(2/121)) assuming z is positive.
z**(2001/1694)
Simplify (z/((z/(z*z**2*z))/z)*z**(-12)*((z**(-3)*z)/z*z)**(2/75))**(-4/9) assuming z is positive.
z**(2116/675)
Simplify (k/k**(1/4)*k*k**(1/2)*k)**(-1/30)/(k*k**(-2/3)*k*k/k**2*(k**(1/3))**(-13/3)) assuming k is positive.
k**(361/360)
Simplify (u**(-2/11)/(u/(u/u**(-2))*u))/(u**0)**(1/74)*(u**(-4)/u**(2/3))/(u**(1/4))**(-35) assuming u is positive.
u**(647/132)
Simplify ((((c/c**(-48))**14)**(-44))**(-3/13))**(-2/9) assuming c is positive.
c**(-60368/39)
Simplify (y*y**9)/y**(-2)*(y/(y/(y**(-4)*y)))/(y*y**7)*(y**(-1)*y*y/y**(-8))/(y**(2/3)/y**(-2)) assuming y is positive.
y**(22/3)
Simplify (z/(z*z/z**3*z*z)*(z/((z/(z*z*z/((z**(-2/9)/z)/z)*z*z)*z)/z))/z)**(-24)/(z**(-1/3)*(z**6/z)/z)**(-19/4) assuming z is positive.
z**(-1583/12)
Simplify (g/((g*g**(-29))/g))/g**(-1)*(g**(-17)/g)/g**(1/31) assuming g is positive.
g**(402/31)
Simplify (((t*t**(-1/9)*t)/t*t*t**(1/7))**27)**(-10/13) assuming t is positive.
t**(-3840/91)
Simplify ((o/(o*o**(-9/2)*o)*o*o*o*o)/o)/(o/o**16)*(o/(o*o**(2/39)/o))**(-30) assuming o is positive.
o**(-181/26)
Simplify ((((t**32*t)/t)/(t*t**(-29)))/(t**17/t**(5/6)))**(-6/5) assuming t is positive.
t**(-263/5)
Simplify (k**2/k*k**(-3))**39*(k**(-2/9)*k*k)/(k/k**(-3)*k)*k*(((k*k**6)/k)/k)/k*k/(((k/(k*k**3))/k)/k) assuming k is positive.
k**(-632/9)
Simplify n**(-5/6)/n**(2/7)*(n/n**(3/2))/n**(-3/4)*(n**9*n**(-5))**(-4/25) assuming n is positive.
n**(-3169/2100)
Simplify (i*i/(i*i/i**(-1/9)))/i*i**2*i*(i**(-2/7)*i)**(-1/10)*i**(-2/13)*i/i**4*(i/((i/i**(-1/4)*i)/i))/(i*i*i/i**(-3)) assuming i is positive.
i**(-24853/3276)
Simplify ((o**(-2/9)*o*o/o**(2/3)*(o**(-1))**27)**(6/19))**(3/5) assuming o is positive.
o**(-466/95)
Simplify (g/g**10*g/(g**(-1/8)*g)*g)**(-7/4)*(g/g**(-2/5))**33/(g/(g**(-2)/g))**(11/8) assuming g is positive.
g**(8717/160)
Simplify ((i/(i**(3/5)*i)*i)/(i*i**(-5/3)/i*i))**(5/9)/((i/(i/((i*i**(-2)*i)/i)))/(i**(-2/9)*i*i)*i**(3/5)/i**(-2)) assuming i is positive.
i**(104/135)
Simplify i*i**(1/5)*i*i/(i*i/(i/(i/i**(-1/4))))*(i/((i**(-1)/i*i)/i)*i)**7*(i**(-1/8)*i**0)/((i/((i*i**1)/i))/i)**23 assuming i is positive.
i**(2073/40)
Simplify ((v/v**(-1/10)*v**(1/8)*v)/(v**2*v*v**(-17)/v))**(3/4) assuming v is positive.
v**(2067/160)
Simplify ((l*(l**(1/3)*l)/l)**2/(l/l**(1/6)*l**(-5)))/((l**(-6/11)/l*l*l*l**5*l)/(l/l**(-1))**(-2/111)) assuming l is positive.
l**(279/814)
Simplify (((d**(-2/7))**35/((d**(3/10)*d)/((d/(d**(-1/6)*d)*d)/d)))**(-2/23))**(1/5) assuming d is positive.
d**(334/1725)
Simplify ((o*o*o/((o/(o/((o/(o**(-1/16)/o))/o)*o))/o))**(1/23)/(o**(-4))**(-3/5))**14 assuming o is positive.
o**(-28707/920)
Simplify ((d**(2/3)*d)/(d*(d/d**(2/17))/d*d)*(d**(-8)*d)/d**(1/2))/((d**(-2/3))**(-2/55)/(d**(-5)*d/(d*d**(2/3)))) assuming d is positive.
d**(-75211/5610)
Simplify (l**13/(l*l**(-1/11)*l))/(l**(-2/13)/(l/(l/(((l/l**(2/109))/l)/l)))) assuming l is positive.
l**(159399/15587)
Simplify (((m*((m*m**(2/11)*m)/m)/m)/m)**30)**26/(m*m*m**3*m/(m/(m**(-1/5)/m))*(m/((m*(m*m*m*m**(-2/3)/m*m)/m*m)/m))**(-23)) assuming m is positive.
m**(17713/165)
Simplify ((r/((r*r**(2/9)/r)/r))/r**(2/19))/((r*r/r**(-2/13)*r)/((r/(r*r/(r**(2/19)/r)))/r))*(r**(-7)/r**8)/(r**(-2/3))**(-33) assuming r is positive.
r**(-4841/117)
Simplify (((z**(-6)*z*z*z*z/(z**(-10)/z))**(-14/11))**(-38))**(-33) assuming z is positive.
z**(-14364)
Simplify c**(1/7)/c**(-4)*c*c*c**(-2)*(c**4/c)/c*((c/(c*c/c**2*c))/c*c*c/((c/c**(-1/3))/c))/(c*c*c**2/c*c*c/c**(-1/5)) assuming c is positive.
c**(169/105)
Simplify ((w/w**(2/7))**(2/147))**(39/5)*w**(-9)*w**(-1/3)*(w*w**(2/3)/w*w)/(w/(w/(w**(-2/7)*w))) assuming w is positive.
w**(-8546/1029)
Simplify ((v/v**(-2/7))/v)**(-24/5)*v**(-3/10)*v**(4/5)/v assuming v is positive.
v**(-131/70)
Simplify (((t*t/t**0)/t)**18*t**2/(((t**0*t)/t*t)/t))/((t/t**(-1/4))**39/(t**(2/3))**(-11)) assuming t is positive.
t**(-433/12)
Simplify ((m/(m**(-2/9)/m))/m)**26/((m/(m*m**(-5)))/(m*m**(3/2)/m*m*m))*(m**(2/5)/m*m**(-14))**(-24) assuming m is positive.
m**(34261/90)
Simplify (((a*a*a/(a*(a**1*a*a)/a))/((a**(2/17)*a*a)/a)*(a/((a/(a*a/((a*a*(a*a**(-2))/a*a)/a)*a))/a))**37)**(-2/31))**10 assuming a is positive.
a**(-49940/527)
Simplify (h**27)**(6/7)/((h*h**(-4)/h)/h**(-41)) assuming h is positive.
h**(-97/7)
Simplify ((h**1)**(2/21))**21*(h**(1/4)*h**3)**(-36) assuming h is positive.
h**(-115)
Simplify ((t*t**(-5)*t*t*t)/t**2)**3*((t*t**(-1/2))/(t*t**(-7)))**(-14) assuming t is positive.
t**(-100)
Simplify ((((o**(1/3))**35)**36)**(4/9))**(-3/19) assuming o is positive.
o**(-560/19)
Simplify ((h**(1/11)*h/(h**3/h*h*h))/(h*h**0*h**(2/3)))/(((h*((h/(h**0/h)*h)/h)/h)/h)/(h/h**2)*h**(5/6)*h/h**(-6)) assuming h is positive.
h**(-317/22)
Simplify (o**0)**14*(o/o**1)**8*o**(4/5)/o**(-2/7)*(o*o**(-1/4))**(-1/6) assuming o is positive.
o**(269/280)
Simplify ((k**0)**(-7)*k*k**(4/5)*k*k**(-1/6))/((k*k**0)**(-7/6)*(k**1)**34) assuming k is positive.
k**(-151/5)
Simplify (((u**4/u)/(u**11*u))**(-3/4))**(3/11) assuming u is positive.
u**(81/44)
Simplify (v**(-2)*v/(v/v**(-1/12)))/((v**(-3)*v)/((v/((v*v*v/v**(-7)*v*v)/v*v))/v))*(v**(-1/6)*v**(-2)/v)**(-14/13) assuming v is positive.
v**(-451/52)
Simplify (o*o**(-2/35)*o*o)**12/(o/(o*o**(-44))*o**(-18/7)) assuming o is positive.
o**(-214/35)
Simplify ((x**(-34))**(-2/157)/(x**(1/3)/x)**(1/10))**(-21) assuming x is positive.
x**(-8239/785)
Simplify ((k**(-35)*k**34)/((k* | {
"pile_set_name": "DM Mathematics"
} |
What is the fourth biggest value in -1016, 6, -34/9, -0.4, -1/2?
-34/9
Which is the third smallest value? (a) -0.2 (b) -3 (c) -11 (d) -2 (e) 0.02
d
Which is the second biggest value? (a) -3/98 (b) -0.4 (c) 55 (d) 1/2
d
Which is the third smallest value? (a) 204 (b) 2/9 (c) -4/3 (d) -1/3
b
What is the fifth smallest value in 30.3, 2/9, -2/7, 0.1, 13?
30.3
Which is the smallest value? (a) 21651 (b) 2 (c) 0.2
c
What is the smallest value in -0.08, -102, 92?
-102
Which is the third biggest value? (a) -4.9 (b) -46 (c) -1 (d) 1 (e) -2/9
c
Which is the fifth smallest value? (a) 2/5 (b) -1/8 (c) -0.36 (d) 10 (e) -4 (f) -3
a
Which is the second biggest value? (a) -25 (b) 22 (c) 2/9
c
Which is the third biggest value? (a) 0.17 (b) -74/71 (c) 0.1
b
What is the third biggest value in 0.03, -0.1, -54596?
-54596
What is the third biggest value in -2/7, 1, -0.1, -51.086?
-2/7
What is the fifth biggest value in -2/5, 3.6, -1, -2/3, -0.02?
-1
Which is the second biggest value? (a) -1/23 (b) 2 (c) -0.4 (d) -2/19
a
What is the second smallest value in -0.06, -8.1, -0.93?
-0.93
What is the smallest value in -30551, -5, 4?
-30551
What is the second smallest value in -151, -0.7, 0.0178?
-0.7
Which is the fourth smallest value? (a) 14 (b) -0.5 (c) -1/5 (d) -823
a
Which is the smallest value? (a) 3/5 (b) -1 (c) 2/11 (d) 2/9 (e) 0.0717
b
Which is the smallest value? (a) -372/1055 (b) 1/3 (c) -1
c
Which is the third biggest value? (a) -5 (b) -22.6 (c) -31 (d) -4
b
What is the second biggest value in -3/13, -13, 136?
-3/13
What is the smallest value in 1/5, -1/3, 4, -0.05, 17?
-1/3
Which is the fifth biggest value? (a) -2/17 (b) 1/6 (c) -1/4 (d) 1/9 (e) 33
c
What is the third smallest value in -0.3, -0.1, 91, -1/9, 0, -1?
-1/9
What is the third smallest value in -0.06, 1.1, 4, -1/21?
1.1
What is the second biggest value in -54, -0.38, 2/7?
-0.38
Which is the second smallest value? (a) 1564 (b) -5 (c) 76
c
Which is the third biggest value? (a) 2/21 (b) 23502 (c) -3 (d) 2/11 (e) 2/13
e
Which is the fifth biggest value? (a) -0.105 (b) -0.05 (c) 3 (d) 5 (e) -2
e
What is the fifth biggest value in -7, 1, -0.1, -16.2, -0.2?
-16.2
What is the second smallest value in -4, -266, -0.2?
-4
Which is the third smallest value? (a) 420/31 (b) -0.04 (c) -4
a
What is the third smallest value in 1/27, -5, 0.01, 6, -12?
0.01
Which is the second biggest value? (a) 21 (b) -2/21 (c) 6 (d) -0.1
c
Which is the fifth biggest value? (a) 0.5 (b) 1/4 (c) 13 (d) -14 (e) -1.45
d
Which is the fifth smallest value? (a) 12 (b) -1/12 (c) 3/2 (d) 0.3 (e) -539
a
What is the second smallest value in -7/8, 0.1, -2/43, -2, -1, -1/4?
-1
Which is the third smallest value? (a) 663 (b) 4 (c) -1 (d) -3 (e) 2
e
What is the biggest value in 0.1, 2266, 0, -1?
2266
Which is the biggest value? (a) -0.4 (b) 2/49 (c) 0.135 (d) -2/9
c
Which is the third smallest value? (a) 0.03 (b) -3/4 (c) -3 (d) -24 (e) 0.2
b
Which is the smallest value? (a) -3893 (b) -2/7 (c) 20
a
What is the sixth smallest value in -5, -0.1, -2/7, 2/3, 6, 39?
39
What is the second smallest value in -3, 1, -17236?
-3
Which is the biggest value? (a) 8.2 (b) 0.3 (c) 8/3 (d) -1/3 (e) -0.4 (f) 17/8
a
Which is the second smallest value? (a) 9 (b) 301/10 (c) 38
b
What is the third smallest value in 2/3, -11/23, -5?
2/3
Which is the second biggest value? (a) 14 (b) 34 (c) 1/3 (d) -1/10 (e) -3
a
What is the smallest value in -3, 2/31, 2/53?
-3
What is the third biggest value in -1, -15/8, 199, 2/11, -0.3?
-0.3
What is the biggest value in -1, -0.5, 3/37289?
3/37289
Which is the third biggest value? (a) -3256 (b) 0.2 (c) -226
a
Which is the third biggest value? (a) 3.188 (b) 0.3 (c) -13
c
What is the smallest value in 6.2, 1, -1/13?
-1/13
What is the second smallest value in 29, 1/380, -2/7, -2/5, 0.7?
-2/7
Which is the fifth smallest value? (a) -1/5 (b) -10 (c) -5/6 (d) 0.04 (e) -0.3
d
Which is the smallest value? (a) -1 (b) -4 (c) -3211
c
What is the fourth smallest value in -59, -10, 2, 14?
14
Which is the fourth biggest value? (a) -0.5 (b) -3/7 (c) 39756 (d) 5
a
What is the second smallest value in -1/4, -10, -0.339?
-0.339
Which is the smallest value? (a) 2175 (b) -7 (c) -0.2 (d) 1
b
What is the second biggest value in 0.5, 11, -5, 4, 1, 3/11?
4
What is the fourth smallest value in 4, -4, -5, 3, -45653?
3
What is the second biggest value in 2, -1, -5, 28, 2.6?
2.6
Which is the third smallest value? (a) 2/177 (b) 3.5 (c) -24 (d) 5
b
Which is the fifth biggest value? (a) 0 (b) 9 (c) -3 (d) -4 (e) 105
d
What is the fifth smallest value in 9, -359, 0.5, 0.3, -5?
9
Which is the biggest value? (a) -4 (b) -195/2 (c) 1828
c
Which is the second biggest value? (a) -2/9 (b) -1/4 (c) -1564/5
b
Which is the fifth smallest value? (a) 0.5 (b) -0.5 (c) -1 (d) -51 (e) -1.2 (f) 0.4
f
What is the third smallest value in -50, 3, 0.167?
3
Which is the fourth biggest value? (a) 0.2 (b) -28595/13 (c) 0.1 (d) 5/3
b
Which is the fourth biggest value? (a) 0.5 (b) -1 (c) -0.4 (d) 0.4 (e) -31.5 (f) 1
c
What is the second smallest value in 5, -0.57, -5, 81?
-0.57
Which is the fourth smallest value? (a) 14 (b) -3378 (c) 3/5 (d) -5 (e) -4
c
What is the third smallest value in 1, -4, -8, 3, -5, -7?
-5
Which is the second smallest value? (a) -11 (b) 30 (c) -0.7 (d) -8
d
Which is the second smallest value? (a) 4.6 (b) 0.4 (c) -7 (d) 9 (e) 0.5
b
What is the smallest value in 1, 4, 0.5, 1/3, 0, -1612/17?
-1612/17
Which is the fourth biggest value? (a) -0.04 (b) 3 (c) -0.2 (d) 1/10 (e) 1.354
a
What is the third smallest value in -134, -0.3, 3, 115?
3
What is the third smallest value in 235, -4, 1/3, -82?
1/3
Which is the second biggest value? (a) -250 (b) -526 (c) 5
a
What is the sixth biggest value in -6, -1/5, 1, -5, -96, 0.2?
-96
What is the fourth smallest value in 1/6, -3, -68, -6/11, 3/2?
1/6
What is the fifth smallest value in -0.1, -3, -11.4, 18/5, -1/3, 3/2?
3/2
What is the fifth biggest value in 3/2, -0.2, -4, -5.78, -2/21?
-5.78
What is the fourth biggest value in -148, -2/19, 5, -135?
-148
Which is the fifth biggest value? (a) 4 (b) 0.5 (c) -16 (d) -10.7 (e) -0.4
c
Which is the fourth biggest value? (a) 152 (b) 5/4 (c) 4 (d) -138
d
Which is the third smallest value? (a) -7 (b) -4 (c) -5 (d) 1/28 (e) -6/5
b
Which is the third biggest value? (a) 0.5 (b) -17/8 (c) 1/22 (d) 0.7
c
Which is the fifth smallest value? (a) -2/5 (b) -36 (c) 0.4 (d) 4/7 (e) 85
e
Which is the second smallest value? (a) -0.4 (b) -4.12 (c) -0.2 (d) 177 (e) 3
a
What is the second biggest value in -0.4, 0, 2/9, -1254, 0.07?
0.07
Which is the fourth smallest value? (a) 0.5 (b) -3 (c) 1.4 (d) 2/5 (e) -5 (f) -0.103
d
What is the second smallest value in 0.8, -31, -4, -0.11?
-4
What is the biggest value in -398/39, 28, 2/3?
28
What is the fourth smallest value in 13, -0.5, -95, 0, -1, 3?
0
Which is the third biggest value? (a) -1 (b) 4 (c) 158
a
Which is the second smallest value? (a) 1/3 (b) 1205/2 (c) -3
a
What is the biggest value in 2, -3/7, -0.0298?
2
Which is the third biggest value? (a) 5/4 (b) 4 (c) -43/6 (d) -2
d
What is the third biggest value in 23580, 0.2, 1?
0.2
Which is the second smallest value? (a) -0.1 (b) 190 (c) 4 (d) 2/15 (e) 1/3 (f) 6
d
What is the second biggest value in -1/6, 2, 1/954, -3, 4, 49?
4
What is the second smallest value in -3, 5/4, 21, 1/2, -37, 0.04?
-3
Which is the second biggest value? (a) 84 (b) -0.08 (c) -3/4 (d) 0
d
What is the biggest value in 2/7, -3/6685, 1/2?
1/2
Which is the smallest value? (a) 0.008 (b) 9835 (c) -4
c
Which is the fourth biggest value? (a) -5/12 (b) -0.2 (c) 1/15 (d) -11
d
Which is the third biggest value? (a) 0.1 (b) 0 (c) 0.5 (d) 31
a
Which is the second smallest value? (a) 2 (b) 2/1359 (c) 4 (d) 1/2 (e) 0
b
Which is the fourth biggest value? (a) -1/276 (b) -2/5 (c) -13 (d) 0.1
c
Which is the third biggest value? (a) 0.04 (b) -5/4 (c) 3 (d) 5 (e) 222 (f) -2/7
c
Which is the second smallest value? (a) 3 (b) -127 (c) -1/2 (d) -0.0659
c
What is the third biggest value in -0.1, | {
"pile_set_name": "DM Mathematics"
} |
atest common divisor of 14 and x.
2
Let u = 2 + -12. Let b be (1 - -4)*4/u. Let r be b/11 - (-266)/11. What is the greatest common factor of r and 6?
6
Suppose -221 + 51 = -2*h. Suppose 3*s - 110 = h. Suppose -w - 3*q = -14, 4*w - 3*q + 2*q = 108. Calculate the highest common divisor of s and w.
13
Suppose -z = 3*z. Let a(g) = g + 180. Let w be a(z). Let c = 26 + -6. What is the highest common divisor of w and c?
20
Suppose 2*s = 6*s - 48. Suppose 3*q + 336 = 7*q. Calculate the highest common factor of s and q.
12
Let p = 325 - 205. Suppose 2*i - 30 = -0. Calculate the highest common factor of i and p.
15
Let i = 9 + -2. Let d(x) = -18*x + 5. Let o be d(-4). Suppose 3*g - o = 2*g. Calculate the highest common factor of i and g.
7
Let y(p) = 0 + p**2 - 2*p**2 + 4. Let w be y(0). Suppose -w*d - 4*n + 4 = 0, 2*n = -0*n. What is the greatest common factor of 1 and d?
1
Let o = 5 + -7. Let i be o/(-7) - 48/(-28). Let f be 2/(i + (-40)/22). What is the highest common factor of f and 121?
11
Suppose -267 = -4*h - n, -2*h - 63*n = -66*n - 151. Let b = 25 + 9. What is the highest common divisor of h and b?
34
Let j be (2 + -3 - -4) + 69. Suppose 93 - 26 = 3*r - 2*h, -j = -3*r + 3*h. What is the highest common factor of 19 and r?
19
Let x be 9/(-21) - (-8)/((-168)/(-1143)). What is the greatest common divisor of x and 135?
27
Let j be 2 - 0/((-2)/(-1)). Let u = 8 - j. What is the greatest common divisor of u and 66?
6
Let q = 21 - -122. Calculate the greatest common divisor of q and 11.
11
Let i be (108/(-8) - 2)*-2. Suppose 0 = 4*d + i - 283. Calculate the greatest common divisor of 9 and d.
9
Suppose 1 = q - 17. Let x = -67 - -94. Calculate the highest common factor of x and q.
9
Let a(z) = 4*z - 1. Let u(f) = -f**2 + 9*f - 3. Let d(r) = 5*a(r) - 3*u(r). Let k be d(4). Let l = 21 - -15. What is the greatest common factor of l and k?
12
Suppose 0*p = -2*p + 8. Suppose -p*h + 4 = -2*q - 0, -2*h = -6. What is the greatest common factor of q and 20?
4
Let f be (3 - 3)/(-4) - 0. Let k be 3 + f + (-2 - -2). Let m(c) = 2*c**2 - 6*c - 3. Let h be m(6). What is the greatest common factor of k and h?
3
Suppose 3*q + 94 = 6*q - 4*i, 4*q + 2*i - 140 = 0. What is the highest common factor of 2 and q?
2
Suppose -140 - 52 = -4*c. What is the highest common factor of c and 64?
16
Suppose 2*d = -4*m + 3*d + 830, -3*d + 1046 = 5*m. Suppose m = -3*k - k. Let h be (k/(-5))/((-5)/(-50)). What is the highest common divisor of 13 and h?
13
Let b(n) = -n + 4. Let i = 6 + -2. Let p be b(i). Suppose m + m - 3*l - 41 = p, 40 = 5*m + 5*l. Calculate the greatest common divisor of m and 91.
13
Suppose -13*r + 8*r = -270. Calculate the highest common factor of r and 18.
18
Let t be 0/(6 - 3) + (-3 - -58). Let y = 87 + -142. Let m = y + 77. What is the highest common factor of m and t?
11
Let j(u) = u**3 + 35*u**2 + 63*u - 95. Let n be j(-33). Let m = 11 - -5. Calculate the greatest common divisor of n and m.
4
Let i be (198/12)/((-3)/(-18)). What is the highest common factor of 22 and i?
11
Let r(n) = n**3 + 5*n**2 + 2*n + 3. Let y be r(-4). What is the highest common divisor of y and 176?
11
Let o(x) = 5*x - 26. Let z be o(8). Calculate the highest common factor of z and 14.
14
Let d be -1 + 5/((-15)/9). Let g = d + 27. What is the greatest common factor of g and 46?
23
Suppose 0 = f + 5*a + 5, 2*f - 5 = -3*a - 1. Let r(v) = 3*v + 7. Let w be r(6). Calculate the greatest common factor of f and w.
5
Suppose 0*x + 4*x = 12. Calculate the highest common factor of 21 and x.
3
Let i(k) = k**3 - 4*k**2 + 11*k - 6. Let w be i(3). What is the highest common factor of 12 and w?
6
Let q = 86 + -75. Suppose 0 = 4*z - 2*j + 5*j - 179, 0 = 4*z - 4*j - 172. Calculate the greatest common factor of q and z.
11
Suppose -8*y = -0*y - 176. Calculate the greatest common factor of 55 and y.
11
Let c(b) = -b**3 + 4*b**2 + b - 2. Let m = 11 + -8. Let z be c(m). Let u(q) = 11*q**2 - 1. Let p be u(1). What is the highest common divisor of p and z?
10
Suppose -j - c + 3*c + 6 = 0, 0 = -5*j - 4*c + 30. Calculate the greatest common factor of j and 15.
3
Suppose s + 4*b + 16 = 0, s - 4*s - 24 = 4*b. Let j = s - -10. Calculate the greatest common divisor of j and 4.
2
Let c(b) = -b**3 - 3*b**2 + 7*b + 5. Let d be c(-4). Let u be 5/4 + d/28. Let t be 21/3 - u*-2. What is the greatest common factor of t and 45?
9
Let o(i) = -i**3 + 2*i**2 + 72. Let x(y) = y**3 + 1. Let g be x(-1). Let q be o(g). What is the highest common divisor of 9 and q?
9
Suppose 5 = -k - 2*x, 0 = -5*k + 2*x - 1 + 36. Let s(w) = w. Let y be s(1). What is the highest common divisor of y and k?
1
Let k be 152/10 + 5/(-25). Let s be 2/4 - (-33)/(-2). Let g = -11 - s. Calculate the highest common factor of k and g.
5
Let m = -71 + 198. Suppose -3*u + m = -53. What is the highest common divisor of u and 24?
12
Let n = 481 + -283. What is the greatest common factor of 18 and n?
18
Let d = 124 - 60. What is the greatest common factor of d and 16?
16
Suppose 51 + 57 = 4*w. Calculate the greatest common factor of 18 and w.
9
Let d be (42/(-49))/((-1)/14). Let y be d + 2 + 3 + -1. Calculate the highest common factor of 24 and y.
8
Let w(v) = v**3 + v**2 + 57. Let z be w(0). What is the highest common factor of z and 38?
19
Suppose -3*j + 5*i = 0, -3*j + j - 4 = -2*i. Let x be 472/20 - 2/j. Suppose -2*s + 0 = -x. What is the greatest common divisor of 132 and s?
12
Suppose 0 = 3*k - 34 + 13. Calculate the highest common divisor of k and 7.
7
Suppose -12 = -h - o, 0*h + 2*h = 2*o + 8. Let n(a) = -a**3 + 2*a**2 + a - 2. Let c be n(-2). Calculate the highest common divisor of h and c.
4
Let i(p) = p**3 + 0 + 6*p**2 - 3*p + 0 + 4*p + 7. Let k be i(-5). What is the greatest common factor of k and 3?
3
Let z be 8*(-12)/(-8) - -3. Let i = z - 10. What is the greatest common divisor of 15 and i?
5
Let v(a) = a**3 - 4*a**2 - 6*a + 4. Let r be v(5). Let x be (-6)/(-2) - (2 + -4). Let l = x - r. What is the greatest common factor of l and 2?
2
Let k be ((-2)/(-4))/(1/(-2)). Let x be k/(-2)*6*3. What is the greatest common factor of 72 and x?
9
Let p = -17 - -53. Calculate the highest common factor of p and 4.
4
Let s = 42 - 14. Let m = -33 - -117. Suppose 0 = -y - y + m. Calculate the highest common factor of y and s.
14
Let t(g) be the first derivative of 2*g**3/3 - 2*g + 1. Let y be t(2). Suppose -3*z - 48 = -5*z. Calculate the greatest common divisor of y and z.
6
Let r(f) = 12*f - 2. Let g(u) = -u - 1. Let i(c) = -3*g(c) + r(c). Let m be i(2). Let h be m/11 - (-4)/22. Calculate the highest common divisor of 6 and h.
3
Let l = 5 + -8. Let v = l + -4. Let y be (4 + v)*(-108)/2. What is the highest common divisor of y and 18?
18
Let z = 32 - 19. Let x be -3*(1 - 0/(-1)). Let d(r) = 8*r**2 + r - 4. Let u be d(x). Calculate the greatest common divisor of u and z.
13
Suppose 3*b + 0*b = 504. What is the greatest common divisor of b and 21?
21
Let p be 0 + 3 - 11/(33/(-6)). What is the highest common divisor of 15 and p?
5
Let v = -2 - -11. What is the highest common factor of v and 9?
9
Suppose -7*f = -27*f + 120. Calculate the greatest common factor of f and 15.
3
Suppose -5*f + 5*l + 3735 = 0, 0*f - 2241 = -3*f - l. Suppose 7*c - f = -110. Calculate the highest common factor of c and 13.
13
Suppose 76 = -7*t + 8*t. Let c(w) = 4*w**2 + 2*w - 1. Let h be c(2). What is the highest common divisor of h and t?
19
Let n be 4 + 2/4*-4. Suppose n*t - 38 = 4*d, 57 = 3*t + d - 28. What is the highest common divisor of t and 18?
9
Let t = -86 - -112. Calculate the highest common divisor of 78 and t.
26
Suppose 5*k + l = 1304, 3*k - 4*l = 2*k + 244. Calculate the highest common factor of k and 26.
26
Suppose 0 = l + 1 + 2. Let s be (l - -2)*1*-20. What is the highest common divisor of 80 and s?
20
Let u = 64 - 42. What is the highest common factor of 110 and u?
22
Let m be (4/6)/(4/138). Suppose -m = -3*l + 13. Let t be (-12)/(112/(-36) - -3). What is the greatest common factor of l and t?
12
Let h be (-77)/14 + (-2)/(-4). Let s be (h/(-5))/(3/6). What is the greatest common factor of 16 and s?
2
Let n = -33 + 45. What is the greatest common factor of 4 and n?
4
Let s be -2*3/(-18)*36. Calculate the greatest common factor of s and 84.
12
Let d(z) = z - 7. Let a be d(7) | {
"pile_set_name": "DM Mathematics"
} |
Let q(z) = 221*z. What is -2*j(c) - 7*q(c)?
-233*c + 2
Let g(k) = -18*k**2 - 24*k. Let s(w) = 9*w**2 + 11*w. Calculate -6*g(u) - 13*s(u).
-9*u**2 + u
Let x(n) = 8*n - 5. Let f(t) = -3*t + 2. Let v(s) = -2*s. Let r(y) = 2*f(y) - 4*v(y). Let c be r(1). Let d(u) = 15*u - 9. Calculate c*d(z) - 11*x(z).
2*z + 1
Let n(c) = -c. Let f(h) = 5*h + 2. Let q be f(4). Let j(s) = -5*s + 22 - q + s. What is -j(r) + 5*n(r)?
-r
Let l(m) = 18*m**3 - 13*m + 13. Let o(g) = -3*g**3 + 12*g. Let a(u) = 4*u**3 - 11*u + 1. Let q(y) = 6*a(y) + 5*o(y). Determine -6*l(z) + 13*q(z).
9*z**3
Let a(p) = -3*p + 2. Let j(w) = 63*w - 21. Give -7*a(b) - j(b).
-42*b + 7
Let y(q) = 26 - 51 + 5*q + 15. Let k(d) = -6*d + 11. Calculate 3*k(m) + 4*y(m).
2*m - 7
Let b be 32/6*(117/6)/(-13). Let m(i) = -2*i**2 + 3*i - 5. Let g(t) = t**2 - t + 2. Give b*g(r) - 3*m(r).
-2*r**2 - r - 1
Let a = -10 + 4. Suppose -b = 4*o - 2*o - 16, 5*o - 5*b = 25. Let d(l) = -7*l**2 - 7*l + 2. Let g(p) = -8*p**2 - 8*p + 2. What is a*g(y) + o*d(y)?
-y**2 - y + 2
Let s(k) = -3*k + 193. Let i(q) = 2*q - 191. Give -6*i(l) - 5*s(l).
3*l + 181
Let j(o) = o**2 - o - 2. Let n(a) = -7*a**2 + 6*a + 5. Let i(p) = 5*j(p) + n(p). Let s(m) = m**2 + 1. Give i(d) + 6*s(d).
4*d**2 + d + 1
Let b(k) = -2*k**2 - 55. Let q(o) = o**2 + 28. What is 4*b(g) + 7*q(g)?
-g**2 - 24
Let k(w) = w - 3. Let f(g) = 2. Let x = 112 - 109. What is x*k(l) + 5*f(l)?
3*l + 1
Let r(k) = 2149*k**2 + 35. Let s(g) = -179*g**2 - 3. Determine 3*r(h) + 35*s(h).
182*h**2
Let w(o) = 3*o + 352. Let y(n) = -3*n - 353. What is -3*w(t) - 2*y(t)?
-3*t - 350
Let f(x) = 420*x**3 + 70*x**2 + 35*x + 35. Let h(y) = 35*y**3 + 6*y**2 + 3*y + 3. What is -3*f(c) + 35*h(c)?
-35*c**3
Let k(j) = -j + 1. Let t(y) = -1. Let u(f) = -4*f + 8. Let b(i) = 3*t(i) + u(i). Let c(d) = d**3 + 7*d**2 + 7*d + 5. Let m be c(-6). Determine m*b(w) + 3*k(w).
w - 2
Let s(k) = k**2. Let h(c) = -7*c**2 - 11*c. Give h(z) + 6*s(z).
-z**2 - 11*z
Let f(v) = 3*v**2 - 6*v + 3. Let x(y) = -y**2 + 2*y - 1. Let k(i) = -26*i - 294. Let b be k(-11). Give b*x(r) - 3*f(r).
-r**2 + 2*r - 1
Let m(z) be the third derivative of z**4/12 + z**3/2 - z**2 + 96. Let d(s) = -1. What is 4*d(x) - m(x)?
-2*x - 7
Let o(p) = p**2 - 23*p - 6. Let c(b) = b**2 - 45*b - 10. Determine -4*c(x) + 7*o(x).
3*x**2 + 19*x - 2
Let i(u) = -36*u. Suppose 0 = 1703*c - 1694*c + 198. Let p(s) = 9*s. Give c*p(v) - 6*i(v).
18*v
Let l(z) = -2*z**3 - z**2 - 4*z - 3. Suppose -3*g - 16 = -13. Let m be l(g). Let t(s) = -s**2 - s - 1. Let r(y) = 4*y**2 + 2*y + 2. Determine m*t(k) + r(k).
2*k**2
Let c(b) = b**2 + 10*b + 26. Let g be c(-7). Let z(d) = -4*d + 4. Suppose -2*u + 3 = -u. Let w(r) = u + 2*r - 5 + 0*r. Calculate g*w(y) + 2*z(y).
2*y - 2
Let i(h) = -4*h + 3. Let d(g) be the third derivative of -g**3/6 - 1507*g**2. Suppose -3 = 3*p - 2*p. Give p*d(n) - i(n).
4*n
Let v(u) = -11*u**3 - 3564*u**2 + 16*u - 32. Let i(w) = 4*w**3 + 1188*w**2 - 6*w + 12. What is 8*i(r) + 3*v(r)?
-r**3 - 1188*r**2
Suppose -t = -4*h + 17, -4*t - 17 = -20*h + 21*h. Let a(w) = -2*w**3 - w**2 - w + 3. Let r(k) = 2*k**3 + k**2 + 2*k - 4. Calculate h*r(n) + 4*a(n).
-2*n**3 - n**2 + 2*n
Suppose 9 = -2*y - 1. Let k be -24 + (y - -3) + 0. Let l be (-2)/(-3) + k/(-6). Let d(o) = o - 1. Let r(j) = -j + 1. Determine l*r(z) + 6*d(z).
z - 1
Let q(b) = 22*b**3 + 10*b. Suppose 2*u = 8*u - 222. Let m(s) = u*s + 7*s**3 - 70*s + 36*s. Determine -10*m(j) + 3*q(j).
-4*j**3
Let x(o) = 153*o**2 - 4*o. Let w(c) = -c**2 + c. Determine -4*w(v) - x(v).
-149*v**2
Suppose 5*r - 2*y = -9, 1 = -4*y + 9. Let u(z) be the first derivative of -z**2 + 2*z - 1. Let w(s) = -s. Let q = -5 + 8. Give q*w(b) + r*u(b).
-b - 2
Let t(p) be the third derivative of p**6/40 - p**5/20 + 11*p**4/24 - 5*p**3/6 - p**2 + 166*p. Let o(z) = 2*z**3 - 2*z**2 + 6*z - 3. Give -5*o(a) + 3*t(a).
-a**3 + a**2 + 3*a
Let z be (-2 - 1/(-2))*(-14)/21. Let n(k) = k. Let r(f) = -6*f - 1. Determine z*r(i) + 4*n(i).
-2*i - 1
Let z = -18 + 28. Let d(p) = -z*p + 7*p - p - 8*p**2 - 13*p. Let j(o) = -o**2 - 2*o. Determine 6*d(l) - 51*j(l).
3*l**2
Let p(k) = k**2 - k + 1. Let s(b) = 5*b**3 + 25*b**2 - 25*b + 25. Let l be (-3 - 9/(-6)) + 4/8. Determine l*s(x) + 25*p(x).
-5*x**3
Let t(n) = -3*n**3 - 5*n**2 - 4 + 11 + 4*n**3 + 6*n. Suppose 0 = -4*c + 62 + 26. Suppose 4*v + c = 18. Let p(f) = f**2 - f - 1. Give v*t(s) - 5*p(s).
-s**3 - s - 2
Let h(g) = g**2 - 3*g - 2. Let f be h(3). Let m(c) = c - 5. Let s(k) = -85 + 173 - 87. Give f*m(q) - 11*s(q).
-2*q - 1
Let v(k) = -7*k. Let a(y) = 6*y - 1. Let u(d) = -3*a(d) - 2*v(d). Let t(m) = -m + 1. Suppose -j - 4*j - 2*l = 4, 0 = -4*j - 5*l + 7. Give j*t(i) + u(i).
-2*i + 1
Let o(q) be the second derivative of q**5/10 - q**2/2 - 231*q - 1. Let z(a) = 2*a**3. Give -5*o(b) + 6*z(b).
2*b**3 + 5
Let o(i) = -13*i + 10 - 31 - 12*i**2 + 10*i**2 + 7*i**2. Let z(d) = d**2 - 3*d - 5. Give -2*o(y) + 9*z(y).
-y**2 - y - 3
Let z(v) = 15*v**2 + 14*v. Let c(a) = -2*a**2 - 2*a. Give -6*c(k) + z(k).
27*k**2 + 26*k
Let r(z) = -3*z + 7. Suppose 0 = -10*t - 237 + 471 - 254. Let w = -1 - -6. Let d(j) = -j + 3. Calculate t*r(u) + w*d(u).
u + 1
Let f(y) = y**3 - 2*y**2 - 4*y - 2. Let a(l) = -15*l**3 + 6*l**2 + 33*l**3 - 7*l**3 + 6 + 11*l - 3*l**3 - 10*l**3. Calculate -4*a(s) - 11*f(s).
-3*s**3 - 2*s**2 - 2
Let y(j) = -3*j**2 - 6*j. Let a(m) = 7*m**2 + 13*m. Suppose -5*c - l = -84 + 145, 2*c + 14 = -3*l. What is c*y(b) - 6*a(b)?
-3*b**2
Let c(i) = 21*i**2 - 29*i - 24. Let m(l) = -5*l**2 + 7*l + 6. Determine 2*c(n) + 9*m(n).
-3*n**2 + 5*n + 6
Suppose 2*j - 4*l - 6 = 0, 2*j - l - 14 + 5 = 0. Let d(y) = 4*y. Let f(x) = -1. Let h(t) = j*f(t) - d(t). Let r(g) = 6*g + 7. Calculate -7*h(u) - 5*r(u).
-2*u
Let v = -10 + 12. Let d(j) = j - 2*j + 0 - v + 4. Let g(z) = 6*z - 11. Suppose -5*u + 4*m - 52 = 114, m = -u - 35. Give u*d(s) - 6*g(s).
-2*s - 2
Let v(u) = 17*u**3 + 5*u**2 - 12*u - 9. Let j(y) = 4*y + 15. Let w be j(-6). Let b(c) = 4*c**3 + c**2 - 3*c - 2. Determine w*b(z) + 2*v(z).
-2*z**3 + z**2 + 3*z
Let w(f) be the third derivative of 1/24*f**4 - 8*f**2 + 0 + 5/6*f**3 + 0*f. Let n(u) = u + 9. Calculate -3*n(m) + 5*w(m).
2*m - 2
Let u(x) = -3*x**2 + 7*x - 1. Let t(g) = 10 - 9 + 10 - 12 + 8*g - 3*g**2. Give 5*t(s) - 6*u(s).
3*s**2 - 2*s + 1
Let g(w) = -3*w - 3. Let b(r) = 0 + 3 - r - 4. Let l be (4 - 6)*20/(-8). Suppose -2*v + 15 = -l*v + 2*j, 10 = -2*v + 4*j. Give v*b(u) + g(u).
2*u + 2
Let o(d) = -2*d - 9. Let y(i) be the second derivative of i**3/6 + 2*i**2 - 37*i - 6. What is -3*o(x) - 7*y(x)?
-x - 1
Let a(u) = 3*u**2 + 6*u + 4. Let i(l) be the second derivative of 11/6*l**3 + 5/12*l**4 + 0 + 7/2*l**2 + 16*l. Calculate -11*a(f) + 6*i(f).
-3*f**2 - 2
Let b(d) = 5*d**2 + 30*d + 5. Let j(t) = -t**2 + t - 1. Calculate b(z) + 6*j(z).
-z**2 + 36*z - 1
Let q(d) = d**3 - 7*d**2 + 3*d + 1. Let g(k) = -6*k**2 + 4*k. What is -3*g(z) + 2*q(z)?
2*z**3 + 4*z**2 - 6*z + 2
Let n(m) = -9*m**3 - 3*m**2 + 3*m + 3. Let p(z) = z + z**2 - 4 - z**3 - 2 + 7 - 2*z**2. Let a(i) = 2*i**2 + 7*i - 5. Let y be a(-4). What is y*n(k) + 3*p(k)?
6*k**3
Let y(c) = -7*c**2 - 5*c - 11. Let j(g) = 9*g**2 + 10*g + 19. Let p(u) = 35*u**2 + 41*u + 77. Let a(k) = -9*j(k) + 2*p(k). Determine -5*a(b) + 8*y(b).
-b**2 - 3
Let g(r) = r**2 + 2*r - 2. Let d be g(1). Let u(t) = -t. Suppose 64*y = 62*y + 4. Let w(m) = -2*m**2 + 2*m - 2. Give d*w(z) + y*u(z).
-2*z**2 - 2
Let u(f) = -11*f + 5. Let i(a) = a**2 - 3*a - 3. Let r be i(5). Let l = -618 - -615. Let o(j) = -5*j + 2. What is l*u(n) + r*o(n)?
-2*n - 1
Let q(w) = 7*w**2 - 9. Let h(p) = p**2 - 1. Let a(k) = -9*k + 68. Let j be a(8). Give j*h(s) + q(s).
3*s**2 - 5
Let m(d) = 99*d - 51. Let v(x) = 14*x - 7. Determine 4*m(t) - 30*v(t).
-24*t + 6
Let h(a) = 14*a**2 + 15*a + 3. Let k(n) = -13*n**2 - 12*n - 2. Give 3*h(y) + 4*k(y).
-10*y**2 - 3*y + 1
Let a be (-9)/27 + (-7)/(-3). Let d(u) = 3*u - 4 - 1 - 2*u. Let j(t) = 5. Let o(b) = -4. Let c(k) = 3*j(k) + 4*o(k). What is a*c(h) - d(h)?
-h + 3
Let o(u) = 6*u**2 + 8*u - 9. Let k(q) = 16*q**2 - 6 - 11*q**2 - 1 - 1 + 7*q. What is -7*k(d) + 6*o(d)?
d**2 - d + 2
Let c(s) = 5*s**3 + 8*s**2 + 2*s + 10. Let g(b) = -9*b**3 - 14*b**2 - 3*b - 17. Determine -7*c(y) - 4*g(y).
y**3 - 2*y - 2
Let y(x) = -x**2 + x + 1. Let t(n) = -7*n**2 + 5*n - 416. Give -t(m) + 5*y(m).
2*m**2 + | {
"pile_set_name": "DM Mathematics"
} |
ctors of f(0).
5, 19
Suppose 0 = -19*h + 6094 - 736. List the prime factors of h.
2, 3, 47
Suppose -815 = -14*i - 17. What are the prime factors of i?
3, 19
Let a(v) = -22*v**3 - v**2 - 3*v - 2. List the prime factors of a(-1).
2, 11
Let d(f) = 2*f**2 + 7*f + 6. Let c be d(-5). Suppose 4*i + 3*g - 4*g - c = 0, 5 = -5*g. Suppose 0 = i*j - 54 + 9. List the prime factors of j.
3
Suppose 4*z + 5*g = -17, 3*z = 3*g - 0 + 21. Suppose h + 4*b = 5*b - z, -5*h + 40 = 5*b. List the prime factors of h.
3
Let i(g) = 12*g**2 + 9*g + 12. What are the prime factors of i(5)?
3, 7, 17
Suppose 3*r + 39 = -l - l, 5*l - 3*r = -129. What are the prime factors of 3*1*(-88)/l?
11
Suppose -44 = -4*a - 2*k, 2*a - 55 = -3*a - 4*k. List the prime factors of a.
11
Suppose -5*a - 2*z + 11 = -8, 4*z - 20 = -4*a. Let g = -16 - -34. Suppose -6 = -a*h + g. List the prime factors of h.
2
Suppose -382 = -7*d + 255. What are the prime factors of d?
7, 13
Let q = 6 + -5. Let s(p) be the first derivative of 8*p**3/3 - p**2 + p - 1. List the prime factors of s(q).
7
Suppose -3*r - 5 = -2*r, -5*r - 10 = -3*c. List the prime factors of ((-96)/15)/(1/c).
2
Let z(f) = -f**3 + 2*f. Let r be z(-3). Suppose 11*q - r = 10*q. List the prime factors of q.
3, 7
Let o(u) = 21*u - 24. List the prime factors of o(10).
2, 3, 31
Let b = 24 - -5. What are the prime factors of b?
29
Suppose 4 = -4*m - 4*f, -8 = 4*m - m + 4*f. Suppose 0 = 8*x - 3*x - 5, 0 = -5*z + 5*x + 20. Suppose -z*a + m*a = -7. What are the prime factors of a?
7
Let o be ((-1)/2)/((-1)/8). Suppose h - 8 = g - 3*h, 5*h = -o*g + 10. Suppose x - 3*i + 6 = g, -x = -5*i + 5 + 7. List the prime factors of x.
3
Let z(c) = c**2 + 8*c. Let m be z(-7). Let d(y) = -y**3 - 8*y**2 - 13*y - 2. List the prime factors of d(m).
2, 5
Let p(x) be the third derivative of x**6/120 + x**5/6 - x**4/12 + 2*x**3/3 - 5*x**2. What are the prime factors of p(-10)?
2, 3
Let m = 11 + -7. Suppose m*o = 2*w - 0*w + 2, 4 = 3*o - 2*w. What are the prime factors of 92/10 - o/(-10)?
3
Let c(o) = o - 11. Let d be c(9). Let t be -1 + 21 + (d - -3). Suppose 5*x - k - 63 = 0, 2*x - t = k - 2*k. List the prime factors of x.
2, 3
Suppose 0 = -m + 2*y + 86, -4*y + 0*y = 2*m - 148. List the prime factors of m.
2, 5
Let y be 1/4 + (-62)/(-8). Let q be 1*2/2 - -1. Suppose q*n - 20 + y = 0. What are the prime factors of n?
2, 3
List the prime factors of ((-104)/10)/(8/(-20)).
2, 13
Suppose 2 = a - 3*p + 17, -a = -2*p + 10. Suppose 48 = 3*x - a*z - 3*z, 3 = -z. List the prime factors of x.
13
Let h(r) = -11*r - 5. List the prime factors of h(-6).
61
Suppose -3*j - 2*s = -s - 91, 4*j = -5*s + 125. List the prime factors of j.
2, 3, 5
Let l(w) = w**2 - w + 1. Let d(s) = -4*s**2 + 15*s - 11. Let q(i) = d(i) + 3*l(i). What are the prime factors of q(10)?
2, 3
Suppose 2 = 2*x - h - 2, 8 = -3*x + 5*h. Suppose 0 = 3*c + x*k + 14, -c = -3*c + 5*k + 29. Suppose 8 = 6*u - c*u. List the prime factors of u.
2
Suppose -2*m - m - 2*q = 4, 0 = -5*m - 3*q - 5. Suppose -m*o = -0*o. Suppose 3*x = 4*s + 33, 5*x + 4*s - 55 = -o*x. What are the prime factors of x?
11
Let p(v) = v - 5. Let o be p(9). Let b(z) = z**3 - 5*z**2 + 4*z + 3. Let a be b(o). Suppose 0 = 2*k - 3 - a. What are the prime factors of k?
3
Suppose 0 = 5*m + 2*k + 30, m + 6 = -0*m + k. Let y = 14 + m. Let g = y - 5. What are the prime factors of g?
3
Let w(o) = 20*o**2 - 10*o + 3. What are the prime factors of w(4)?
283
Suppose -72 = 4*d + 5*w - 335, 2*w - 254 = -4*d. What are the prime factors of d?
2, 31
Let q = 34 - 19. Suppose 5*i + 0*i - 125 = 0. Let s = i - q. List the prime factors of s.
2, 5
Let t = -7 + 12. Suppose t*k = 5*x + k + 25, -3*k = -4*x - 19. List the prime factors of 0/(1 - x) - -11.
11
Let c(k) = 3*k**2 - k - 5. Let t be c(-6). Suppose 5*l + i - 104 = 0, t = 4*l + l - 4*i. List the prime factors of l.
3, 7
Let t = 1 - -1. Suppose 3*h = -4*z + 71, 4*h - 3*z = 3*h + t. What are the prime factors of h?
17
Let o = 61 - 26. What are the prime factors of (-1)/(-4) - o/(-4)?
3
Suppose 0 = w - 67 - 2. List the prime factors of w.
3, 23
Let b(p) = -13*p**3 - p + 3. List the prime factors of b(-2).
109
Suppose -89 + 11 = -2*u. What are the prime factors of u?
3, 13
Let d(h) = -h**3 + 5*h**2 - h - 4. Let t be d(4). Suppose -u - 2 = -5*k - 9, t = 2*u - 4*k. Let p(o) = 2*o**2 - 2*o - 2. What are the prime factors of p(u)?
2
Suppose 5*l - 6 = 19. Suppose -y = l*h - 32, -h - 29 = -3*y + 67. List the prime factors of y.
2
Suppose -4*u = 5*c + 9, 2*c = -2*c - 5*u. Let d(s) = -3*s - 5. List the prime factors of d(c).
2, 5
Let u = -5 + 11. Let f = -128 - -186. List the prime factors of (-1)/(-3) + f/u.
2, 5
Let b(f) = f**2 + 14*f - 26. List the prime factors of b(-17).
5
Suppose 3*x - i + 1 = -9, -6 = 2*x - i. Let d(w) = -5*w - 5. Let r be d(x). Suppose -2*u - 3*b + 2*b = -r, b - 5 = 0. List the prime factors of u.
5
Let b = -9 - -9. Let p(d) = -d**3 - d**2 - d + 23. What are the prime factors of p(b)?
23
Let r be 2/(-4 - -3) + -12. Let s = r + 30. What are the prime factors of s?
2
Let h(k) be the first derivative of -2*k**2 + k + 1. Let r(p) = -p**2 - 2*p - 1. Let m be r(-2). List the prime factors of h(m).
5
Suppose -6*o = -2*o - 252. What are the prime factors of o?
3, 7
Suppose 0 - 3 = -w. Suppose 10*t - 5*t - 20 = -5*o, -t - 28 = -w*o. List the prime factors of o.
2
Let x = 59 - 21. What are the prime factors of x?
2, 19
Suppose 7 = -2*w + 3*x + 26, 5*x = 5*w - 35. Suppose w*q = -q + 27. What are the prime factors of 6*((-24)/q)/(-2)?
2
Let x = -3 - 6. List the prime factors of x/(-6)*42/9.
7
Let y(b) be the third derivative of -b**6/120 - b**5/12 - b**4/4 - 2*b**3/3 - b**2. Let q be y(-4). Let w = 8 - q. What are the prime factors of w?
2
Suppose -5 + 2 = -d. Suppose 3*m - 15 + d = 0. What are the prime factors of m?
2
Let r be -2 - (1 + -1 + -7). Suppose 2 - 17 = -5*v, -r*j = -3*v - 51. What are the prime factors of j?
2, 3
List the prime factors of 4*(-1*(-3 + 2) + 15).
2
Let q be (-64)/(4/(-2)) + -2. Suppose -g - 3 = -4*n + 4, 5*n + 3*g = q. Suppose 5*l = -25, n*w - 8 - 12 = l. List the prime factors of w.
5
Let a = -6 - 0. List the prime factors of 12 - 3*(-4)/a.
2, 5
Let u = 2 - -2. List the prime factors of u.
2
Let n be (6/4)/(22/1628). Let v = 169 - n. What are the prime factors of v?
2, 29
Let m be (-6)/(-15) - (-8)/5. List the prime factors of (2/(-6))/(m/(-78)).
13
Suppose -2*m = 2*m - 352. What are the prime factors of m?
2, 11
Suppose -r = -p - 20 + 7, 13 = r - 5*p. List the prime factors of r.
13
Let k = 12 - 18. Let m = k + 20. What are the prime factors of m?
2, 7
Suppose 3*q - 2 = 2*q. List the prime factors of q.
2
Suppose 4*g - 2*g - 66 = 0. Suppose -20*u + 19*u = -47. Let c = u - g. What are the prime factors of c?
2, 7
Let u(f) = -9 - 7 + 7*f + 14. What are the prime factors of u(6)?
2, 5
Let f = -2 - 0. Let n be -2 + (f - 6*-1). Suppose -j + n*g = 2, 3*j - 45 = -2*j - g. List the prime factors of j.
2
Let j be ((-50)/3)/(2/6). Let y = j + 76. List the prime factors of y.
2, 13
Suppose 6*o = -0*o + 18. What are the prime factors of o?
3
Let c be (5 - -1)*(-1)/(-3). Let t(n) = 2*n**2 - 2*n + 2. What are the prime factors of t(c)?
2, 3
Let z(o) = -o**2 - 13*o - 10. Let b be z(-12). Let k = 7 - b. What are the prime factors of k?
5
List the prime factors of 9/18 - (-29)/2.
3, 5
Let d = -9 - -11. Suppose 0 = 5*f + g - 199, -d*g = -2*f - 0*g + 82. List the prime factors of f.
2, 5
Suppose 12*u - 11*u - 114 = 0. What are the prime factors of u?
2, 3, 19
What are the prime factors of 12/(-10)*-110*(-8)/(-24)?
2, 11
Let q(k) = -7*k + 25. What are the prime factors of q(-7)?
2, 37
Let a(c) = 6*c**2 + 2*c - 10. Let y(g) = -g**2 - g + 1. Let l(d) = -a(d) - 5*y(d). Let x be l(4). What are the prime factors of x/((-20)/22 - -1)?
11
Let l(u) = 2*u - 2. Let i be l(2). Suppose 12 = g + i*g. What are the prime factors of g?
2
Let l = 2 - -42. Let n = l + -16. List the prime factors of n.
2, 7
Suppose -2*c + 3*b = -43 - 8, 100 = 5*c - 2*b. Suppose 18 + c = 4*f. What are the prime factors of f?
3
Let q = 5 + -4. Let y = q - -17. Suppose 3*v - 3*p - y = 0, -3*v + 6 = -4*p - 15. What are the prime factors of v?
3
Let q(l) be the third derivative of -5*l**4/12 - l**3/6 + 2*l**2. Let s(k) = -k - 2. Let w be s(0). What | {
"pile_set_name": "DM Mathematics"
} |
ounded to 6 dps?
0.000002
Let u = 0.14 - -21.86. Let t = -610357.99981 + 610380. Let c = u - t. What is c rounded to five dps?
-0.00019
Let w = 171.7 + -171.697856. What is w rounded to 4 dps?
0.0021
Let p = -3199 + 3201.694. Let y = -2.36 + p. What is y rounded to two dps?
0.33
Let p = -0.203 + 0.94. Round p to 1 decimal place.
0.7
Let i = -3134885 - -3134886.499919. Let r = -1.5 + i. Round r to 5 decimal places.
-0.00008
Let f = -4.788478462 + 465.788498362. Let l = -461 + f. What is l rounded to 6 decimal places?
0.00002
Let q = 162.23 + -159. Let y = q - -0.47. Round y to the nearest integer.
4
Let m = 802.000724 - 802. Round m to four dps.
0.0007
Let v = 1.6 - -4.5. Let x = -40.1 + v. Let j = x + 33.9979. Round j to three dps.
-0.002
Suppose -2*d = 3*d - 20. Let y = -1 + d. Suppose 135 = -0*g + y*g. Round g to the nearest 10.
50
Let r = -3 + -22. Let z = r + 24.999999956. What is z rounded to seven dps?
0
Let t = 3.7 + -8.78. Let k = 6 + t. Let g = k + -3.77. Round g to 1 decimal place.
-2.9
Let f = 2 + -1.26. Let d = -0.26 - f. Let i = -0.999959 - d. What is i rounded to 5 dps?
0.00004
Let h = -21.4 + 26.07. Let v = h - 2.29. Round v to 0 dps.
2
Let z = 185.001016 - 185. What is z rounded to five decimal places?
0.00102
Suppose 0 = -23*g + 25*g - 4248. Round g to the nearest one hundred.
2100
Let c = -25918 + 25921.3954. Let v = c - 3.4. Round v to 2 decimal places.
0
Let n = -4.74 - -0.74. Let g = -3.99999672 - n. Round g to six decimal places.
0.000003
Let d = 1.17 - -69.83. Let r = -74.3 + d. Round r to the nearest integer.
-3
Let s = 0.126 - 0.087. Let h = s - 0.03900055. What is h rounded to 6 decimal places?
-0.000001
Let t = -364 - -182. Let x = t + 182.0000151. What is x rounded to 6 dps?
0.000015
Let q = -99.4 + 99.399999156. What is q rounded to seven decimal places?
-0.0000008
Let t = -3.726 - 483.184. Let g = t - -473. Let p = g - -14. Round p to one dp.
0.1
Let f = -57.599127 + 57.6. Round f to four dps.
0.0009
Let y be (-640)/2*((-381050)/20 - 10). Round y to the nearest one million.
6000000
Let t(l) = 88*l**2 + 7*l - 10. Let y be t(6). Suppose -41*o + 40*o = y. What is o rounded to the nearest one thousand?
-3000
Let b = -37.9 + 37.9205. What is b rounded to 2 dps?
0.02
Suppose 4*x - 2*n + 3*n = 3, -4*x = -4*n + 12. Suppose x = f + f - 448000. Round f to the nearest ten thousand.
220000
Let q = -28.9784 - -28.7. Round q to 1 dp.
-0.3
Let c = -1239 - -1251.34. Round c to the nearest 10.
10
Let j = -16 + 16.35. Let g = -28.65 - j. Let m = g + 28.9826. Round m to three dps.
-0.017
Let v(b) = -b**2 + 6*b - 8. Let w be v(4). Suppose 0 = k - w*k - 2. Suppose -6496754 = -k*d + 19903246. Round d to the nearest one million.
13000000
Suppose 50 = 2*o - 2*a, -2*o = -7*o + 3*a + 133. Let q = 29 - o. Suppose q = 5*w + 881172 + 218828. Round w to the nearest 10000.
-220000
Let a be 113674 - (-7 + (-4)/(-1)). Let u be a/(-3 + (-7)/(-2)). Suppose 0 = -2*j + 25354 - u. What is j rounded to the nearest 10000?
-100000
Let a(w) = 2*w + 1. Let h be a(0). Suppose -2*l - 449 = -3*y + 67, -5*y = 2*l - 844. Let d be (-6 + 3 + h)*y. Round d to the nearest one hundred.
-300
Let p = 28.7 - 29.516. What is p rounded to one decimal place?
-0.8
Let y(v) = v**2 + 5*v + 5. Let n = -11 - -6. Let a be y(n). Suppose -a*l + 6131466 = 531466. Round l to the nearest 100000.
1100000
Let c = 1070.0698 - 1070. What is c rounded to 2 decimal places?
0.07
Let d = 1.24 + -1.5. Let f = -0.18 + d. Let m = 0.439924 + f. What is m rounded to 5 decimal places?
-0.00008
Suppose 2166379 - 93154879 = 3*t. Let d = -86633479 - t. Let n = -38903979 - d. Round n to the nearest one million.
17000000
Let o = 0.201 + -1.376. What is o rounded to the nearest integer?
-1
Let i = -11327575 - -11327567.7999969. Let p = i - -7.2. Round p to six dps.
-0.000003
Let a be 15*(-1)/((-3)/9596572). Suppose 5*g - a = -5*o, -11961849 = -o + 5*g - 2365247. Suppose 3596577 = 4*m + o. Round m to the nearest one million.
-2000000
Let a be (3160/(-12))/((-20)/(-660)). What is a rounded to the nearest one thousand?
-9000
Suppose 2*j - 3*i + 5*i - 6 = 0, 0 = -3*j - 5*i + 11. Suppose -j*b + 0*b - 998 = 0. Let f = -737 - b. Round f to the nearest 10.
-240
Let g(l) = 39*l - 1. Let w be g(-1). Let k be (w/140)/((-2)/14). Suppose k*j = -15 - 239. What is j rounded to the nearest 10?
-130
Let v = 18 + 9. Let u = 21.9 - v. Let y = u - -1.6. Round y to zero dps.
-4
Let k = 6141 - 11745. Let t = k + 5612.8098. Let u = -8.8 + t. What is u rounded to three dps?
0.01
Suppose -4200 = 4*o + o. Let d be 0*(0 + 1) + o. Round d to the nearest 100.
-800
Let u = 8001 - 1901. What is u rounded to the nearest one thousand?
6000
Let q = 2.40002235 - 2.4. Round q to six dps.
0.000022
Let c be 0 - (-2 + 1 + -4). Suppose c*i + 5*m - 37522 - 11988 = 0, -m - 29698 = -3*i. Round i to the nearest 1000.
10000
Let a be ((-10)/15)/(1/(-3)). Suppose -5*y = -0*y - h + 16846, h + 6744 = -a*y. What is y rounded to the nearest 1000?
-3000
Let q = -1380352.3 - -1380360.3000004. Let i = -0.14 + -7.86. Let h = q + i. What is h rounded to 6 dps?
0
Let w = 298.936 - -0.064. Let x = -298.9797 + w. What is x rounded to 3 dps?
0.02
Let q = -6.9999892 - -7. What is q rounded to five decimal places?
0.00001
Let l = 104 + -103.02. Let y = 0.976 - l. What is y rounded to two dps?
0
Let r = -1016.8382 - -1017. Let x = -0.26 + 0.1. Let b = r + x. What is b rounded to three decimal places?
0.002
Let d = -13.06 - -10.6. Let r = 127.46 + d. Let j = 123.99 - r. Round j to 1 dp.
-1
Let n = 17.5124 - -1.1006. Let z = -18.5 + n. What is z rounded to two dps?
0.11
Let c = -12644 - -12644.5869. Round c to 2 dps.
0.59
Let k be 14 - 34467/6 - (-1)/2. Round k to the nearest 100.
-5700
Let m = 5.3 - 5.92. Let r = m - -0.62000371. Round r to 7 decimal places.
0.0000037
Let o = -2706.9999801 + 2707. What is o rounded to seven dps?
0.0000199
Let g = -1511.999359 + 1512. What is g rounded to 5 decimal places?
0.00064
Let x = -89 + 89.118. Let l = x + -0.11799998. Round l to 7 dps.
0
Let x = 780.9441 - 781. Round x to 2 dps.
-0.06
Suppose 49*k - 3723 = -177379. Round k to the nearest 1000.
-4000
Let j = -33.000001128 - -33. What is j rounded to seven dps?
-0.0000011
Let t = -110649.93 - -109738. Let r = -917 - t. What is r rounded to 1 dp?
-5.1
Suppose 0*n = 4*n + 2*l + 1288, 5*n = 3*l - 1588. Let i be n/(-70) - 4/7. Let w be 920/(i/(-800)*-4). Round w to the nearest 10000.
50000
Let c = -25.687982017 - -25.688. What is c rounded to seven decimal places?
0.000018
Suppose -7*n + 1509 + 3202 = 0. Suppose -n = -3*h - 151. Round h to the nearest ten.
170
Let p = -421.9922 - 0.0078. Let z = p + 426.82. Let x = z + -0.02. What is x rounded to the nearest integer?
5
Let k = -16057 - -83057. Round k to the nearest 10000.
70000
Let j = -1482 + 1482.001169. Round j to four decimal places.
0.0012
Let c = -2.949999994 + 2.95. Round c to 7 decimal places.
0
Let w = 32.97090231 - 0.97090176. Let f = w + -32. Round f to 7 dps.
0.0000006
Let l = 2.86 + -221.86. Let k = l + 218.99861. Round k to 4 decimal places.
-0.0014
Let i = -4387 + 4386.999997903. Round i to 7 decimal places.
-0.0000021
Suppose 3*w = 3252893 + 1705435. Let g = w + -758959. Suppose 5*z = g - 73817. Round z to the nearest 10000.
160000
Let m = 2861.2467 + -2861. Let b = 530.259 - 530. Let j = m - b. Round j to 3 dps.
-0.012
Let n = 1868.722 + -1867. Let b = -1.75 + -0.05. Let z = b + n. Round z to two dps.
-0.08
Let s = 0.6027 - 0.602702723. Round s to 7 dps.
-0.0000027
Let v(a) = -8646714*a**3 + a**2 + 2*a + 1. Let c be v(-2). Let h = c - 46573713. What is h rounded to the nearest one million?
23000000
Suppose 9*h + 4 = 13. Let z be -3500*(4996 - (h + -5)). Round z to the nearest 1000000.
-18000000
Let r = 1813663.9763 + -1813484. Let c = -180 + r. What is c rounded to three decimal places?
-0.024
Let b = 842 + -841.9992178. Round b to 4 dps.
0.0008
Let b be ((-10)/(-3))/((-3)/(-244710)). What is b rounded to the nearest 10000?
270000
Let l be -4 + 4 - -2 - -1256. Let b = 414 + -2222. Let o = l + b. What is o rounded to the nearest 100?
-600
Let k(c) = -c**3 - 2*c**2 - 3*c - 2. Let l be k(-2). Let n be 1 + 3/12*l. Suppose i + n*i = 210. Round i to the nearest ten.
70
Let x = 54.947 + 0.053. Let n = 50.2 - x. Wh | {
"pile_set_name": "DM Mathematics"
} |
gnvmvtv?
1/42
Four letters picked without replacement from qqqpqqdqdpkwwpp. Give prob of sequence wdkw.
1/8190
Calculate prob of sequence qtv when three letters picked without replacement from tqthqdv.
2/105
Two letters picked without replacement from {v: 7, l: 9}. What is prob of sequence ll?
3/10
Two letters picked without replacement from dddr. Give prob of sequence dr.
1/4
Three letters picked without replacement from {y: 3, i: 4, j: 1}. What is prob of sequence iyi?
3/28
Four letters picked without replacement from {z: 8, b: 1, p: 5, r: 3, i: 2}. Give prob of sequence rpzb.
5/3876
Three letters picked without replacement from cnpppccqcqcnpccwn. Give prob of sequence cqp.
7/510
Two letters picked without replacement from mpzmpzpumppppmzm. Give prob of sequence mp.
7/48
Calculate prob of sequence rrhq when four letters picked without replacement from qerqheqrwrqhrqqe.
3/910
Two letters picked without replacement from wwnwnwwwwwwwwnnwww. What is prob of sequence ww?
91/153
Calculate prob of sequence pfp when three letters picked without replacement from spafjpspppfs.
1/33
What is prob of sequence bb when two letters picked without replacement from bbbbb?
1
Calculate prob of sequence ppgp when four letters picked without replacement from {p: 4, g: 6}.
1/35
Two letters picked without replacement from mnfnmqx. Give prob of sequence qn.
1/21
Calculate prob of sequence nc when two letters picked without replacement from {s: 1, x: 4, n: 1, b: 1, c: 1}.
1/56
Two letters picked without replacement from {v: 1, b: 1, o: 2, z: 1, f: 1, g: 2}. Give prob of sequence fz.
1/56
Two letters picked without replacement from xbfbvbmb. Give prob of sequence bf.
1/14
Two letters picked without replacement from {j: 4, v: 6, w: 1, p: 2}. What is prob of sequence pw?
1/78
Two letters picked without replacement from ddfhfihxdhhi. What is prob of sequence dd?
1/22
Calculate prob of sequence cznn when four letters picked without replacement from zcnnn.
1/20
Two letters picked without replacement from eeeeedeed. What is prob of sequence de?
7/36
Two letters picked without replacement from {i: 2, y: 1}. What is prob of sequence yi?
1/3
Two letters picked without replacement from vvvvvvvvv. Give prob of sequence vv.
1
Calculate prob of sequence zj when two letters picked without replacement from kbjzzjzjjk.
2/15
Two letters picked without replacement from dggdd. What is prob of sequence dd?
3/10
What is prob of sequence yby when three letters picked without replacement from yybby?
1/5
Four letters picked without replacement from ddnndnt. What is prob of sequence ntdn?
3/140
Two letters picked without replacement from geggeeg. What is prob of sequence ee?
1/7
Four letters picked without replacement from {z: 4}. What is prob of sequence zzzz?
1
Four letters picked without replacement from {p: 3, l: 3, j: 8, o: 1, q: 3}. What is prob of sequence lllp?
1/4080
Calculate prob of sequence ll when two letters picked without replacement from {a: 2, s: 1, l: 4, q: 3, o: 4, f: 1}.
2/35
Four letters picked without replacement from dppudpdodpdod. Give prob of sequence pdop.
6/715
What is prob of sequence nn when two letters picked without replacement from {s: 4, n: 7}?
21/55
Two letters picked without replacement from ffwfffww. What is prob of sequence ff?
5/14
Two letters picked without replacement from {z: 4, l: 2, i: 6}. Give prob of sequence zl.
2/33
Two letters picked without replacement from vmyynev. What is prob of sequence ev?
1/21
Three letters picked without replacement from {d: 2, o: 3, l: 10, f: 1, e: 1}. Give prob of sequence dfo.
1/680
What is prob of sequence rwf when three letters picked without replacement from {p: 2, w: 1, f: 1, r: 1}?
1/60
Calculate prob of sequence dug when three letters picked without replacement from ugud.
1/12
What is prob of sequence xyex when four letters picked without replacement from {x: 4, e: 8, y: 2}?
8/1001
What is prob of sequence cc when two letters picked without replacement from {a: 6, c: 2}?
1/28
Three letters picked without replacement from yoillgllqgilo. What is prob of sequence lgo?
5/429
Calculate prob of sequence vvcw when four letters picked without replacement from {c: 3, w: 3, r: 4, v: 4}.
9/2002
What is prob of sequence ev when two letters picked without replacement from {k: 1, a: 1, v: 2, e: 2, g: 1}?
2/21
Calculate prob of sequence wgk when three letters picked without replacement from kgkwgwwkw.
1/21
What is prob of sequence fm when two letters picked without replacement from mobofmfomfmom?
5/52
What is prob of sequence abaw when four letters picked without replacement from {w: 4, b: 4, a: 9}?
12/595
Four letters picked without replacement from {p: 5, f: 5, t: 1, q: 1}. Give prob of sequence ppff.
10/297
Three letters picked without replacement from {u: 2, p: 2}. What is prob of sequence upu?
1/6
Two letters picked without replacement from {d: 1, g: 2, p: 2}. What is prob of sequence dg?
1/10
What is prob of sequence ux when two letters picked without replacement from {y: 1, u: 2, x: 1}?
1/6
Calculate prob of sequence xxx when three letters picked without replacement from xxxxffxx.
5/14
Calculate prob of sequence xi when two letters picked without replacement from {i: 1, b: 1, t: 1, x: 1, u: 1}.
1/20
What is prob of sequence tww when three letters picked without replacement from {t: 1, w: 17}?
1/18
Calculate prob of sequence uuu when three letters picked without replacement from buuuuuuuuubuuuuubu.
455/816
Three letters picked without replacement from wvvyfvvpvyylv. What is prob of sequence lyw?
1/572
What is prob of sequence mqqm when four letters picked without replacement from mqqqqqmqqqqqq?
1/78
What is prob of sequence wlaw when four letters picked without replacement from {l: 1, o: 1, t: 5, a: 1, w: 3, k: 4}?
1/5460
Calculate prob of sequence tq when two letters picked without replacement from fmffmmqwttqwqt.
9/182
Three letters picked without replacement from {m: 1, w: 11}. Give prob of sequence wmw.
1/12
Two letters picked without replacement from {v: 3, d: 4}. What is prob of sequence dd?
2/7
Three letters picked without replacement from {m: 11, b: 1, z: 1}. Give prob of sequence mmz.
5/78
Calculate prob of sequence xix when three letters picked without replacement from {s: 1, x: 3, i: 1, e: 2, k: 10}.
1/680
What is prob of sequence chmo when four letters picked without replacement from mhhmhsohhohhcmhhhomm?
5/3876
Four letters picked without replacement from cccccjcjjcjccccjcjj. What is prob of sequence ccjj?
77/1292
Calculate prob of sequence kk when two letters picked without replacement from {a: 7, u: 1, k: 3, g: 1}.
1/22
Four letters picked without replacement from xjjfsffffffs. Give prob of sequence ffsx.
7/990
What is prob of sequence pj when two letters picked without replacement from {y: 1, j: 2, p: 2, w: 1}?
2/15
Four letters picked without replacement from {k: 5, d: 3}. Give prob of sequence dkdd.
1/56
Two letters picked without replacement from {p: 1, w: 1, y: 1}. What is prob of sequence pw?
1/6
Two letters picked without replacement from zgtzggttgzzxgzzzxzz. Give prob of sequence gz.
5/38
What is prob of sequence rm when two letters picked without replacement from nnnrlmlmlimnil?
3/182
What is prob of sequence fz when two letters picked without replacement from rzzzfzrzzzzzzzfrz?
3/34
What is prob of sequence appz when four letters picked without replacement from {q: 1, p: 2, a: 1, z: 4}?
1/210
Four letters picked without replacement from dkku. What is prob of sequence dddu?
0
Two letters picked without replacement from eliueeeupioeeee. Give prob of sequence uo.
1/105
Calculate prob of sequence aie when three letters picked without replacement from vavciniaiaiean.
2/273
Calculate prob of sequence dd when two letters picked without replacement from dddddddfdfdd.
15/22
Calculate prob of sequence zqq when three letters picked without replacement from {z: 1, a: 14, m: 2, q: 2}.
1/2907
Four letters picked without replacement from cxtjjdhjcchxdjdtjth. What is prob of sequence dxdd?
1/7752
Two letters picked without replacement from iissidccdiusisi. What is prob of sequence ds?
4/105
Two letters picked without replacement from elmmleblmloieloeo. What is prob of sequence om?
9/272
Calculate prob of s | {
"pile_set_name": "DM Mathematics"
} |
. What is prob of picking 3 e?
3/14
What is prob of picking 2 f when two letters picked without replacement from xgefxrrxxxxrrkxfr?
1/136
What is prob of picking 1 g, 1 v, and 1 t when three letters picked without replacement from vtvvvtg?
8/35
Calculate prob of picking 3 g when three letters picked without replacement from {d: 1, n: 5, w: 7, b: 3, g: 3}.
1/969
What is prob of picking 2 e when two letters picked without replacement from {a: 5, e: 9}?
36/91
What is prob of picking 2 t when two letters picked without replacement from bbbtbtbb?
1/28
What is prob of picking 1 t, 1 b, and 1 w when three letters picked without replacement from ttbotwo?
3/35
Two letters picked without replacement from {f: 2, i: 3, e: 1, b: 1, y: 1, v: 8}. What is prob of picking 2 f?
1/120
What is prob of picking 2 s when two letters picked without replacement from {s: 3, y: 7, e: 4}?
3/91
Calculate prob of picking 1 s, 1 c, and 1 x when three letters picked without replacement from pvxspdc.
1/35
What is prob of picking 4 h when four letters picked without replacement from {x: 12, h: 6}?
1/204
What is prob of picking 2 y and 1 g when three letters picked without replacement from yyyyyyygyyyyyyyyyyyy?
3/20
Three letters picked without replacement from {a: 1, h: 4, s: 2, j: 1, q: 2, b: 4}. What is prob of picking 2 s and 1 q?
1/182
What is prob of picking 2 o when two letters picked without replacement from buuobyzoa?
1/36
Calculate prob of picking 3 e when three letters picked without replacement from rrereerrrrr.
1/165
Two letters picked without replacement from tmuaaef. Give prob of picking 1 f and 1 m.
1/21
Two letters picked without replacement from {p: 2, w: 10}. Give prob of picking 1 p and 1 w.
10/33
Three letters picked without replacement from ghhgmhmkkhggg. What is prob of picking 2 k and 1 m?
1/143
Two letters picked without replacement from {r: 2, z: 5, s: 6}. What is prob of picking 1 r and 1 z?
5/39
What is prob of picking 1 m and 1 q when two letters picked without replacement from mvsvmvpmqq?
2/15
Four letters picked without replacement from {n: 6, e: 6, k: 4, l: 1, r: 1}. Give prob of picking 2 k, 1 l, and 1 r.
1/510
What is prob of picking 1 n and 1 c when two letters picked without replacement from nndnncdnnncncnnnccn?
20/57
Three letters picked without replacement from {q: 2, f: 6, w: 1, z: 2, t: 1, a: 5}. Give prob of picking 1 t, 1 a, and 1 w.
1/136
What is prob of picking 1 z and 3 s when four letters picked without replacement from {v: 3, s: 3, z: 1}?
1/35
Two letters picked without replacement from ahdhahhvnadz. What is prob of picking 2 d?
1/66
Calculate prob of picking 1 t and 2 m when three letters picked without replacement from {t: 5, m: 13}.
65/136
Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {h: 1, r: 3, g: 1, e: 5, k: 2}.
1/22
Two letters picked without replacement from assssssssssssssssss. What is prob of picking 1 a and 1 s?
2/19
What is prob of picking 1 k and 1 d when two letters picked without replacement from {d: 6, b: 7, k: 1}?
6/91
What is prob of picking 1 h and 1 w when two letters picked without replacement from lshrwhhlhsws?
4/33
What is prob of picking 3 x and 1 g when four letters picked without replacement from {x: 3, g: 13}?
1/140
Four letters picked without replacement from {t: 1, k: 5, e: 2, p: 1, g: 5, d: 5}. Give prob of picking 2 g and 2 e.
5/1938
Calculate prob of picking 1 n, 1 r, and 1 o when three letters picked without replacement from {x: 2, v: 2, r: 2, o: 1, n: 5, f: 2}.
5/182
Four letters picked without replacement from {g: 8, e: 2, f: 2, j: 1, z: 2}. What is prob of picking 2 g and 2 f?
4/195
Three letters picked without replacement from lzll. Give prob of picking 3 l.
1/4
Three letters picked without replacement from hyyy. Give prob of picking 3 y.
1/4
Two letters picked without replacement from {r: 11, n: 2}. Give prob of picking 1 r and 1 n.
11/39
What is prob of picking 1 u and 1 z when two letters picked without replacement from {z: 2, r: 2, u: 6, j: 1}?
12/55
Calculate prob of picking 2 x and 1 e when three letters picked without replacement from {m: 4, x: 3, e: 5}.
3/44
Two letters picked without replacement from niawa. What is prob of picking 1 a and 1 w?
1/5
Two letters picked without replacement from ffffff. Give prob of picking 2 f.
1
What is prob of picking 3 h when three letters picked without replacement from liiyhiiiyhihihiiiyii?
1/285
Calculate prob of picking 2 w when two letters picked without replacement from {w: 5}.
1
Three letters picked without replacement from rrfzrzff. Give prob of picking 3 r.
1/56
What is prob of picking 2 v when two letters picked without replacement from {v: 3, n: 5}?
3/28
Three letters picked without replacement from oootoootoo. What is prob of picking 3 o?
7/15
What is prob of picking 2 b when two letters picked without replacement from {b: 3, k: 8}?
3/55
Calculate prob of picking 1 c, 1 h, and 1 q when three letters picked without replacement from yhqyyhcyyvycucv.
6/455
Calculate prob of picking 2 v when two letters picked without replacement from pvvvvvvvvvpvpvvpvvv.
35/57
Two letters picked without replacement from {n: 4, j: 2}. Give prob of picking 2 j.
1/15
Four letters picked without replacement from {o: 6, i: 2}. Give prob of picking 3 o and 1 i.
4/7
Two letters picked without replacement from ccwccwwwwc. Give prob of picking 1 c and 1 w.
5/9
Three letters picked without replacement from {l: 1, o: 5, g: 3}. Give prob of picking 3 o.
5/42
Two letters picked without replacement from gerieerrrgrr. What is prob of picking 2 g?
1/66
Three letters picked without replacement from {a: 2, w: 2, y: 3, c: 4, k: 2, d: 2}. What is prob of picking 1 a and 2 w?
2/455
What is prob of picking 3 x and 1 f when four letters picked without replacement from {w: 1, x: 4, u: 2, f: 1, d: 2}?
2/105
Two letters picked without replacement from {w: 9, k: 3, v: 3, q: 2}. Give prob of picking 1 k and 1 q.
3/68
Calculate prob of picking 1 x and 1 c when two letters picked without replacement from xjfjjjfjjxkjjfcqccj.
2/57
Two letters picked without replacement from {k: 7, q: 3, z: 1, j: 1, i: 1}. Give prob of picking 1 i and 1 q.
1/26
Calculate prob of picking 2 w and 2 g when four letters picked without replacement from {g: 4, w: 2, i: 2}.
3/35
Four letters picked without replacement from rxrphhprpppfppperxrx. What is prob of picking 1 x, 1 r, 1 h, and 1 f?
2/323
Three letters picked without replacement from {e: 7, m: 4, t: 3}. Give prob of picking 2 m and 1 t.
9/182
Calculate prob of picking 1 x, 1 d, and 2 l when four letters picked without replacement from {k: 6, d: 2, x: 1, l: 2}.
1/165
Calculate prob of picking 1 g and 1 b when two letters picked without replacement from hghbxmhbmxhhhm.
2/91
What is prob of picking 1 b and 1 x when two letters picked without replacement from {b: 4, x: 2, k: 8}?
8/91
What is prob of picking 1 q and 2 h when three letters picked without replacement from {q: 3, g: 4, h: 2}?
1/28
What is prob of picking 2 k and 1 g when three letters picked without replacement from kkkmmpppkmpgk?
5/143
What is prob of picking 1 a, 1 s, and 1 b when three letters picked without replacement from {s: 2, b: 7, a: 7, e: 2, y: 1}?
98/969
What is prob of picking 3 e when three letters picked without replacement from tttteeteeett?
1/22
Three letters picked without replacement from iilvmvvmlmvmimininii. Give prob of picking 1 i and 2 v.
7/190
Two letters picked without replacement from {i: 17, e: 1}. Give prob of picking 2 i.
8/9
Three letters picked without replacement from tffrf. Give prob of picking 1 r, 1 t, and 1 f.
3/10
Two letters picked without replacement from {n: 3, z: 1, x: 11, k: 2, d: 1}. Give prob of picking 1 d and 1 x.
11/153
Two letters picked without replacement from {h: 13, q: 6}. Give prob of picking 2 q.
5/57
What is prob of picking 1 t, 1 z, and 1 m when three letters picked without replacement from imiztmittmttiit?
18/455
Four letters picked without replacement from {z: 4, r: 4, s: 12}. What is prob of picking 2 z and 2 r?
12/1615
Three letters picked without replacement from tlnllrllsslsl. What is prob of picking 1 l, 1 r, and 1 n?
7/286
What is prob of picking 3 h and 1 x when four letters picked withou | {
"pile_set_name": "DM Mathematics"
} |
34
What is the f'th term of 148, 157, 166, 175, 184, 193?
9*f + 139
What is the q'th term of 265, 260, 253, 244, 233, 220?
-q**2 - 2*q + 268
What is the f'th term of 16, 21, 32, 49, 72, 101, 136?
3*f**2 - 4*f + 17
What is the j'th term of 137, 1028, 3429, 8096, 15785, 27252, 43253, 64544?
126*j**3 - j**2 + 12*j
What is the g'th term of 90, -8, -276, -798, -1658, -2940, -4728?
-14*g**3 - g**2 + 3*g + 102
What is the b'th term of 9, 68, 173, 324, 521, 764?
23*b**2 - 10*b - 4
What is the n'th term of 9952, 9951, 9950, 9949?
-n + 9953
What is the f'th term of 30, 32, 34?
2*f + 28
What is the h'th term of 1366, 1361, 1352, 1339, 1322?
-2*h**2 + h + 1367
What is the f'th term of -8897, -8895, -8893, -8891, -8889?
2*f - 8899
What is the r'th term of -6, 11, 54, 135, 266, 459?
2*r**3 + r**2 - 9
What is the r'th term of 9693, 9691, 9689, 9687, 9685, 9683?
-2*r + 9695
What is the i'th term of -99, -209, -323, -441, -563, -689?
-2*i**2 - 104*i + 7
What is the m'th term of 227, 229, 233, 239, 247?
m**2 - m + 227
What is the t'th term of -175, -347, -519, -691, -863?
-172*t - 3
What is the w'th term of 167, 334, 501, 668, 835, 1002?
167*w
What is the o'th term of 121, 138, 155, 172, 189?
17*o + 104
What is the b'th term of -206, -843, -1896, -3359, -5226, -7491, -10148, -13191?
b**3 - 214*b**2 - 2*b + 9
What is the c'th term of 5, -30, -127, -316, -627, -1090, -1735?
-5*c**3 - c**2 + 3*c + 8
What is the d'th term of -7, -3, 1, 5?
4*d - 11
What is the c'th term of -255, -252, -247, -240, -231?
c**2 - 256
What is the z'th term of 15, 11, 5, -3, -13, -25, -39?
-z**2 - z + 17
What is the o'th term of 131, 144, 161, 188, 231, 296, 389?
o**3 - 4*o**2 + 18*o + 116
What is the v'th term of -1419, -5696, -12831, -22830, -35699?
-v**3 - 1423*v**2 - v + 6
What is the z'th term of -93, -96, -91, -78?
4*z**2 - 15*z - 82
What is the z'th term of -937, -940, -945, -952, -961, -972, -985?
-z**2 - 936
What is the s'th term of 67, -13, -147, -335?
-27*s**2 + s + 93
What is the p'th term of 47, 84, 121, 158?
37*p + 10
What is the q'th term of -305, -601, -893, -1181, -1465, -1745?
2*q**2 - 302*q - 5
What is the c'th term of -113, -176, -187, -146?
26*c**2 - 141*c + 2
What is the i'th term of 4278, 4276, 4274, 4272, 4270, 4268?
-2*i + 4280
What is the g'th term of 16, 0, -20, -44, -72, -104?
-2*g**2 - 10*g + 28
What is the q'th term of 897, 882, 847, 786, 693, 562, 387, 162?
-q**3 - 4*q**2 + 4*q + 898
What is the k'th term of 77, 43, -13, -91, -191?
-11*k**2 - k + 89
What is the g'th term of -488, -479, -456, -413, -344, -243?
g**3 + g**2 - g - 489
What is the u'th term of 29, 124, 281, 500, 781?
31*u**2 + 2*u - 4
What is the a'th term of -6049, -6051, -6053, -6055?
-2*a - 6047
What is the v'th term of -7, 1, 9, 17, 25, 33?
8*v - 15
What is the s'th term of -8, -35, -62?
-27*s + 19
What is the u'th term of -2, -1, 0, 1, 2?
u - 3
What is the d'th term of -834, -1688, -2546, -3408, -4274, -5144?
-2*d**2 - 848*d + 16
What is the p'th term of -28, -34, -40, -46, -52?
-6*p - 22
What is the g'th term of 1884, 1887, 1892, 1899, 1908, 1919?
g**2 + 1883
What is the y'th term of 1163, 1178, 1207, 1256, 1331?
y**3 + y**2 + 5*y + 1156
What is the z'th term of -785, -781, -777, -773, -769?
4*z - 789
What is the l'th term of -373, -375, -377, -379, -381?
-2*l - 371
What is the k'th term of -390, -780, -1170, -1560, -1950?
-390*k
What is the p'th term of -17, -28, -51, -92, -157, -252?
-p**3 - 4*p - 12
What is the y'th term of -1, 14, 47, 104, 191?
y**3 + 3*y**2 - y - 4
What is the f'th term of -78, -80, -82?
-2*f - 76
What is the b'th term of 8499, 8498, 8497, 8496?
-b + 8500
What is the g'th term of -159, -323, -487, -651, -815, -979?
-164*g + 5
What is the w'th term of 140, 261, 398, 557, 744?
w**3 + 2*w**2 + 108*w + 29
What is the r'th term of -16, -34, -52, -70?
-18*r + 2
What is the y'th term of -17, -39, -63, -89, -117?
-y**2 - 19*y + 3
What is the j'th term of 12, 8, -8, -42, -100, -188, -312, -478?
-j**3 + 3*j + 10
What is the x'th term of 24, 43, 70, 111, 172, 259?
x**3 - 2*x**2 + 18*x + 7
What is the j'th term of -549, -1098, -1647, -2196?
-549*j
What is the i'th term of -42, -73, -114, -171, -250, -357?
-i**3 + i**2 - 27*i - 15
What is the u'th term of 5512, 11028, 16544?
5516*u - 4
What is the m'th term of -17, -134, -453, -1076, -2105, -3642?
-17*m**3 + m**2 - m
What is the y'th term of 1, -27, -81, -161?
-13*y**2 + 11*y + 3
What is the x'th term of 10, 39, 116, 265, 510?
4*x**3 + x + 5
What is the i'th term of -15, 0, 73, 234, 513?
5*i**3 - i**2 - 17*i - 2
What is the t'th term of -84, -89, -94?
-5*t - 79
What is the q'th term of 22, 94, 296, 694, 1354, 2342, 3724?
11*q**3 - q**2 - 2*q + 14
What is the y'th term of -22, -11, 36, 137, 310, 573, 944, 1441?
3*y**3 - 10*y - 15
What is the y'th term of 5531, 5534, 5537, 5540, 5543?
3*y + 5528
What is the a'th term of -86575, -86576, -86577?
-a - 86574
What is the o'th term of -211, -832, -1863, -3304?
-205*o**2 - 6*o
What is the u'th term of 10, -23, -70, -137, -230, -355, -518?
-u**3 - u**2 - 23*u + 35
What is the k'th term of 0, 9, 28, 63, 120?
k**3 - k**2 + 5*k - 5
What is the c'th term of 4502, 9008, 13514, 18020, 22526?
4506*c - 4
What is the s'th term of 507, 530, 551, 570?
-s**2 + 26*s + 482
What is the y'th term of 1730, 1719, 1694, 1649, 1578, 1475, 1334, 1149?
-y**3 - y**2 - y + 1733
What is the j'th term of 27, 41, 59, 81, 107?
2*j**2 + 8*j + 17
What is the i'th term of -516, -1026, -1536?
-510*i - 6
What is the i'th term of 1895, 3801, 5707?
1906*i - 11
What is the l'th term of -64, -179, -370, -637, -980, -1399?
-38*l**2 - l - 25
What is the x'th term of 22, 125, 408, 961, 1874, 3237?
15*x**3 - 2*x + 9
What is the i'th term of -79, -69, -47, -7, 57?
i**3 + 3*i - 83
What is the g'th term of -1073, -1028, -947, -824, -653, -428, -143?
g**3 + 12*g**2 + 2*g - 1088
What is the y'th term of -13, -84, -283, -676, -1329?
-11*y**3 + 2*y**2 - 4
What is the v'th term of -30, -42, -42, -24, 18, 90, 198, 348?
v**3 - 19*v - 12
What is the g'th term of 181, 184, 189, 196, 205, 216, 229?
g**2 + 180
What is the m'th term of -21, -20, 5, 72, 199, 404, 705?
3*m**3 - 6*m**2 - 2*m - 16
What is the n'th term of 39, 76, 159, 306, 535?
3*n**3 + 5*n**2 + n + 30
What is the q'th term of 10, 73, 242, 571, 1114, 1925, 3058, 4567?
9*q**3 - q**2 + 3*q - 1
What is the j'th term of -28, -101, -216, -367, -548, -753, -976, -1211?
j**3 - 27*j**2 + j - 3
What is the a'th term of -609, -610, -611?
-a - 608
What is the m'th term of 12, 8, -6, -36, -88, -168?
-m**3 + m**2 + 12
What is the w'th term of 33, 91, 149, 207?
58*w - 25
What is the c'th term of -393, -389, -375, -345, -293, -213?
c**3 - c**2 - 393
What is the l'th term of -369, -335, -303, -273, -245, -219?
-l**2 + 37*l - 405
What is the x'th term of 8, -3, -34, -97, -204, -367, -598, -909?
-2*x**3 + 2*x**2 - 3*x + 11
What is the f'th term of 109, 422, 945, 1678, 2621?
105*f**2 - 2*f + 6
What is the d'th term of 1636, 1641, 1644, 1639, 1620?
-d**3 + 5*d**2 - 3*d + 1635
What is the t'th term of 572, 573, 574?
t + 571
What is the d'th term of 423, 422, 421, 420?
-d + 424
What is the r'th term of -6, -2, 2?
4*r - 10
What is the w'th term of 16, 56, 142, 286, 500, 796?
2*w**3 + 11*w**2 - 7*w + 10
What is the p'th term of -9, -10, -11?
-p - 8
What is the f'th term of 65, 125, 185, 245?
60*f + 5
What is the y'th term of -185, -361, -537?
-176*y - 9
What is the n'th term of 73, 144, 215, 286, 357, 428?
71*n + 2
What is the f'th term of 36, 48, 70, 102, 144?
5*f**2 - 3*f + 34
What is the p'th term of -75, -112, -147, -180, -211?
p**2 - 40*p - 36
What is the x'th term of 6, 23, 46, 75, 110, 151?
3*x**2 + 8*x - 5
What is the m'th term of 99, 85, 69, 51?
-m**2 - 11*m + 111
What is the t'th term of 52, 34, 14, -8, -32?
-t**2 - 15*t + 68
What is the s'th term of 3541, 3540, 3539?
-s + 3542
What is the k'th term of 12, 28, 64, 132, 244, 412, 648?
2*k**3 - 2*k**2 + 8*k + 4
What is the m'th term of -31, -61, -93, -127, -163, -201?
-m**2 - 27*m - 3
What is the z'th term of -445, -884, -1323?
-439*z - 6
What is the h'th term of 74, 83, 94, 107, 122, 139?
h**2 + 6*h + 67
What is the y'th term of -5, -5, -1, 7?
2*y**2 - 6*y - 1
What is the j'th term of 183, 150, 115, 78, 39, -2, -45?
-j**2 - 30*j + 214
What is | {
"pile_set_name": "DM Mathematics"
} |
*sqrt(7) + 2809
Simplify -3 + (sqrt(133)/(sqrt(567)*-4) + 3)**2 + 1.
-sqrt(19)/6 + 9091/1296
Simplify (1 + sqrt(637) + (sqrt(637) - -6*(1 + sqrt(637))))**2 - (4 + 3 + (sqrt(637) - (0 + sqrt(637))))**2.
784*sqrt(13) + 40768
Simplify (2 + 3*(sqrt(500) + -1)*2)**2.
-480*sqrt(5) + 18016
Simplify (sqrt(66)/(sqrt(6) + sqrt(6)*2 + sqrt(6) + sqrt(6) - sqrt(6)) + sqrt(11))*4 - ((sqrt(22) - (sqrt(22) - sqrt(352))*3)/sqrt(2))**2.
-1100 + 5*sqrt(11)
Simplify 5*((((sqrt(21)*1)/sqrt(3) - (-4 + -1*sqrt(7))) + -3)**2 + -1).
20*sqrt(7) + 140
Simplify 6*(sqrt(11) + sqrt(110)/sqrt(10) + -3 + sqrt(44)/sqrt(4)*5).
-18 + 42*sqrt(11)
Simplify (2 + ((2*sqrt(891) - sqrt(891)) + 0 - sqrt(891)*1*-2) + 5)**2.
378*sqrt(11) + 8068
Simplify ((sqrt(21)/sqrt(3) + -2 - (sqrt(7) - (sqrt(7) - ((sqrt(70) - sqrt(70)*3) + sqrt(70))/sqrt(10))))**2 + -1 + 5)*-5.
-180 + 40*sqrt(7)
Simplify -2 + (sqrt(847)*1 + -2)**2 + (-5 + -2*sqrt(847))**2.
176*sqrt(7) + 4262
Simplify sqrt(198)/sqrt(2) - (2 + sqrt(44)) - ((sqrt(77) - (sqrt(77) - 2*-1*sqrt(77))) + sqrt(77) + sqrt(77))/sqrt(7).
-2 + sqrt(11)
Simplify (4*sqrt(17) + 5)*4 - sqrt(34)/(sqrt(2) - sqrt(8)/(sqrt(4)*-6)).
20 + 106*sqrt(17)/7
Simplify 3*((2 + sqrt(304))**2 - (sqrt(95)/sqrt(45))**2)*4.
192*sqrt(19) + 11012/3
Simplify (-1 + 4*((sqrt(68) + 2)*-3 + (-1 + sqrt(68)*1 + sqrt(68) - sqrt(68))))**2.
928*sqrt(17) + 5193
Simplify -2 + 6*(2 + sqrt(272))**2*-2 + -3.
-3317 - 192*sqrt(17)
Simplify ((-1*sqrt(550))/(sqrt(98)*1))**2.
275/49
Simplify (-1 + sqrt(304) + 0 + -4 + 0 + sqrt(304) + sqrt(304))**2 + 5 + ((sqrt(304) + sqrt(304) + -1 + -3 + sqrt(304))**2 + sqrt(304) - sqrt(304)).
-216*sqrt(19) + 5518
Simplify -3*(2 + -2*(sqrt(2736) - (sqrt(2736) + (sqrt(2736) + -2 - sqrt(2736)) + -1 - sqrt(2736))))**2*-6.
3456*sqrt(19) + 197280
Simplify ((sqrt(104) - (sqrt(104) + (sqrt(104) - (sqrt(104) + 2*sqrt(104)))) - sqrt(104))*-5 + sqrt(104) - sqrt(104)*-1*3)/(-3*(-2*3*sqrt(8) + sqrt(8))).
-sqrt(13)/15
Simplify (4*-2*(sqrt(76) - (3*sqrt(76) + -3))*3)**2*6.
-82944*sqrt(19) + 1081728
Simplify (6*(1 + sqrt(272))*1 + 5*sqrt(272)*1 + -4 + (sqrt(272) - (sqrt(272) - (0 + sqrt(272)))) + sqrt(272) + sqrt(272))**2.
224*sqrt(17) + 53316
Simplify (sqrt(114) - 2*sqrt(114)*5)/(sqrt(24)*-3 + sqrt(24) + sqrt(6) + sqrt(6)).
9*sqrt(19)/2
Simplify 3*((sqrt(72) + -1 + -2)*-5)**2.
-2700*sqrt(2) + 6075
Simplify ((6*(sqrt(143) + (-1*sqrt(143) - sqrt(143))) + sqrt(143))*4)/((sqrt(1331) - (sqrt(1331) - sqrt(1331)*-1)*2) + sqrt(1331)).
10*sqrt(13)/11
Simplify (-1*sqrt(130)*-3 - 1*sqrt(130)*-4)/(6*(sqrt(10) + sqrt(20)/sqrt(2)*6)).
sqrt(13)/6
Simplify (((sqrt(416)*-1 + sqrt(416))*-2)/(sqrt(18)/(sqrt(9)*1) + sqrt(800)))**2.
0
Simplify (sqrt(2736) + 3 + sqrt(2736) + 5 - (sqrt(2736)*-1 + -3))**2 + -3.
792*sqrt(19) + 24742
Simplify (1*(sqrt(117)*2 - sqrt(117))*-3)/(2*sqrt(1296) + (sqrt(225) + 2*sqrt(225) - sqrt(9))).
-3*sqrt(13)/38
Simplify (1*(-1 + sqrt(17)) - 3*(sqrt(17) - sqrt(272))**2) + (sqrt(170)/(sqrt(5)*-1) + sqrt(34))/(sqrt(288) + (sqrt(288) - (sqrt(288) - sqrt(288)*1))).
-460 + sqrt(17)
Simplify (-1 + -3*sqrt(275) + (4 + 3*sqrt(275) - sqrt(275)) + -1)**2.
-20*sqrt(11) + 279
Simplify (1 + sqrt(637))*-2 + sqrt(156)/(sqrt(12) + sqrt(1728)).
-181*sqrt(13)/13 - 2
Simplify -5 + ((2*1*sqrt(11) - -1*sqrt(891))**2 - sqrt(176)/sqrt(4)*5).
-10*sqrt(11) + 1326
Simplify (-4*(sqrt(2) + (sqrt(2) - sqrt(96)/sqrt(3) - sqrt(2) - sqrt(2))) + sqrt(36)/sqrt(2) + sqrt(242) + 1)**2.
60*sqrt(2) + 1801
Simplify -5 + (sqrt(209)*1*5)/(sqrt(44)/sqrt(144)).
-5 + 30*sqrt(19)
Simplify ((sqrt(360) + sqrt(360)*1)/sqrt(12) - sqrt(300)/sqrt(90))/(sqrt(30)/(sqrt(5)*-2) + (sqrt(6) - 6*sqrt(54))) + 1.
-2*sqrt(5)/21 + 1
Simplify 6*(1*sqrt(304) - sqrt(304))**2 - ((sqrt(304) - sqrt(304)*-3)**2 + -4).
-4860
Simplify (-3*(sqrt(3)*1 + 0) - (sqrt(147) - (sqrt(147)*-1 + -5)))**2.
170*sqrt(3) + 892
Simplify (-4*sqrt(3146))/(-4*sqrt(72) - sqrt(72)).
22*sqrt(13)/15
Simplify ((5*(sqrt(209) - 2*sqrt(209)) - (sqrt(209) + sqrt(209) + (sqrt(209) + sqrt(209)*2)*-1))/(sqrt(77)/(-6*sqrt(112))))**2.
175104
Simplify (1 + (3*(sqrt(175) + -1 - sqrt(175)) - sqrt(175)) + sqrt(175) + ((sqrt(175) - (sqrt(175) - (sqrt(175) + sqrt(175) + -3))) + 2 - sqrt(175)))**2.
-30*sqrt(7) + 184
Simplify -4 + ((sqrt(11) + -3 + sqrt(11)*1)**2*3 - ((-2*sqrt(88))/sqrt(8) + (sqrt(11) + -1)*2)).
-36*sqrt(11) + 157
Simplify (3*sqrt(99)*-4)/(-4*sqrt(9)*-2).
-3*sqrt(11)/2
Simplify ((sqrt(48) - sqrt(480)/(sqrt(40) + sqrt(10)))/sqrt(3))/(sqrt(48)/(sqrt(6)*3*4)).
8*sqrt(2)
Simplify ((2*(-3*sqrt(121) + sqrt(121)))/sqrt(11) + sqrt(121)/(sqrt(704) - sqrt(704)*3))**2.
46475/256
Simplify 5*sqrt(14)/sqrt(2)*5 + (3*-1*sqrt(77) - sqrt(77))/sqrt(11).
21*sqrt(7)
Simplify -1*(-2*(1 + sqrt(117))*6)**2*-6 + -4.
5184*sqrt(13) + 101948
Simplify (1 + -1 + -3 + (sqrt(1300) - (0 + sqrt(1300) + sqrt(1300))) + 1)**2.
40*sqrt(13) + 1304
Simplify 5*-5*(-5 + sqrt(2)*-1*-5 + sqrt(10)/(sqrt(5)*2 + sqrt(5)))**2.
-18425/9 + 4000*sqrt(2)/3
Simplify (sqrt(252)*2*2)**2 - (sqrt(21)/sqrt(3) + -2)**2*-1.
-4*sqrt(7) + 4043
Simplify (-1 + 6*(3*sqrt(475) + 5 - sqrt(475)))**2.
3480*sqrt(19) + 69241
Simplify (5 + (3*(sqrt(200) + 1) - ((3*(sqrt(200) + (sqrt(200) - (sqrt(200) + 1))) + sqrt(200) - sqrt(200) - sqrt(200)) + sqrt(200))))**2.
121
Simplify 5*((sqrt(176) + 3 - sqrt(176) - sqrt(176))**2*3 + 4)*5.
-1800*sqrt(11) + 13975
Simplify -5 + (sqrt(425) - -4*sqrt(425)*2) + (sqrt(425) + (-1*sqrt(425) - sqrt(425)))**2*1 + 4 + 2.
45*sqrt(17) + 426
Simplify (sqrt(105)/(sqrt(7)*-5))/(sqrt(10)/sqrt(32)).
-4*sqrt(3)/5
Simplify (0 + sqrt(2) + 4 + sqrt(2))*-6 - (-2 + sqrt(2) + sqrt(18)/(sqrt(9)*-2)).
-22 - 25*sqrt(2)/2
Simplify ((sqrt(99) - sqrt(99)*-1) + 0 + -3 + (-5*(sqrt(99) + 1) - 4*-2*sqrt(99)))**2.
-240*sqrt(11) + 2539
Simplify (sqrt(130)/(sqrt(245) - (sqrt(245) + 1*sqrt(245) + sqrt(245))))/((sqrt(16)/(sqrt(8)*2) - sqrt(2))*3).
sqrt(13)/21
Simplify -2 + ((1 + sqrt(45))*5 - (((sqrt(270) + sqrt(270)*2 + sqrt(270))/sqrt(6))**2 - sqrt(45))).
-717 + 18*sqrt(5)
Simplify 4 + -1 + sqrt(7) + sqrt(7) + 1 + (-1 + (sqrt(1008)*-1 - sqrt(7)))**2.
28*sqrt(7) + 1188
Simplify (((sqrt(143) - (sqrt(143)*-1*-2 - sqrt(143))) + sqrt(143)*-1*4)/(sqrt(1584)*-2*-1))**2.
13/36
Simplify (4*2*sqrt(700))/(sqrt(40)/(sqrt(160)*2)).
320*sqrt(7)
Simplify (((-2*sqrt(154))/sqrt(11) + sqrt(14) + sqrt(28)/sqrt(2)*1)/(2*sqrt(288)))**2.
0
Simplify -4 + -6*(3*sqrt(208) - sqrt(91)/sqrt(175))*-6.
-4 + 2124*sqrt(13)/5
Simplify ((sqrt(36)/(sqrt(6)/sqrt(3)) - sqrt(90)/sqrt(20))/(-6*-1*sqrt(9)*3))**2.
1/648
Simplify 0 + 0 + sqrt(102)/(sqrt(384)*2 + sqrt(6)).
sqrt(17)/17
Simplify (sqrt(91) - (sqrt(91) + ((-1*sqrt(91) - sqrt(91)) + sqrt(91))*2) - -2*sqrt(91)*2)/(5*(sqrt(343)*-5 - sqrt(343))).
-sqrt(13)/35
Simplify (sqrt(252)*-3)/(sqrt(576)*-4)*-2.
-3*sqrt(7)/8
Simplify -3 + (sqrt(57) - 1*sqrt(228))/(sqrt(96)/sqrt(2)).
-3 - sqrt(19)/4
Simplify -5 + (-6*(sqrt(72)*3 + sqrt(72)))**2*2.
82939
Simplify ((-3*(sqrt(208) + 1))**2 - ((sqrt(208) - (sqrt(208)*1)**2) + -2))*-3 + 1.
-6272 - 204*sqrt(13)
Simplify (1*sqrt(114)*-2 + sqrt(114))/((sqrt(48)*-1)/sqrt(8))*3.
3*sqrt(19)
Simplify ((sqrt(832) + sqrt(832)*1)*2 + sqrt(832) - (1 + 0 + sqrt(832) + sqrt(832)) - 2*(0 + sqrt(832))*6)**2.
144*sqrt(13) + 67393
Simplify -2*(3 + (-2 + sqrt(425))**2) + ((-1 + sqrt(425))**2 + -2 - (sqrt(425)*1 + -4)).
-436 + 25*sqrt(17)
Simplify -3*(-5 + (sqrt(612) - 4*(sqrt(612) - (sqrt(612) - 4*sqrt(612))))).
15 + 270*sqrt(17)
Simplify 2 + -3 + (2 + (sqrt(162) - (1 + sqrt(162) - sqrt(162))) - ((5 + 0 + sqrt(162) + sqrt(162))**2 + sqrt(162))) + 2.
-671 - 180*sqrt(2)
Simplify ((sqrt(13) + 0 - sqrt(13)) + -2 + sqrt(13) + (sqrt(143)*-1)/sqrt(11))*-5 + 4.
14
Simplify (2*(sqrt(102) - sqrt(102)*-1))/(1*(sqrt(6) - sqrt(216))) + -2.
-4*sqrt(17)/5 - 2
Simplify ((sqrt(95) + 1*sqrt(95) + sqrt(95))*-2*3)/(1*(sqrt(5) - (sqrt(15)/sqrt(3) - sqrt(5)))*-6).
3*sqrt(19)
Simplify -4*(2*(sqrt(187)*-4)/sqrt(11) + sqrt(170)/(sqrt(40)*-1)).
34*sqrt(17)
Simplify (sqrt(495)/(-2*sqrt(576)))/((sqrt(5)*1 + sqrt(5))*3 - (-2*sqrt(180) + sqrt(180))).
-sqrt(11)/192
Simplify 2*(6*(sqrt(612) + 1)*2 + -1*(-3*(0 + sqrt(612)))**2).
-10992 + 144*sqrt(17)
Simplify (6*sqrt(5)*1 + sqrt(55)/(sqrt(33)/sqrt(3)) - ((sqrt(5) - sqrt(10)/sqrt(32)) + sqrt(720)*-2))**2.
73205/16
Simplify -4 + ((1*sqrt(108) + sqrt(108) + 4 - 4*(sqrt(10 | {
"pile_set_name": "DM Mathematics"
} |
he ten thousands digit of 662679?
6
What is the ten thousands digit of 544114?
4
What is the ten thousands digit of 18438959?
3
What is the hundreds digit of 3490098?
0
What is the ten thousands digit of 1163847?
6
What is the ten thousands digit of 1298686?
9
What is the ten thousands digit of 128696?
2
What is the tens digit of 974144?
4
What is the tens digit of 885371?
7
What is the units digit of 206772?
2
What is the hundreds digit of 1406847?
8
What is the tens digit of 1591320?
2
What is the tens digit of 1272444?
4
What is the ten thousands digit of 332457?
3
What is the tens digit of 1971349?
4
What is the hundreds digit of 7777638?
6
What is the units digit of 110601?
1
What is the hundreds digit of 932375?
3
What is the hundreds digit of 40268?
2
What is the hundreds digit of 521245?
2
What is the hundred thousands digit of 1111893?
1
What is the hundreds digit of 7014453?
4
What is the millions digit of 1138313?
1
What is the ten thousands digit of 460216?
6
What is the ten thousands digit of 2440586?
4
What is the hundred thousands digit of 14229341?
2
What is the ten thousands digit of 5689879?
8
What is the thousands digit of 416287?
6
What is the units digit of 1340187?
7
What is the units digit of 4180011?
1
What is the ten thousands digit of 12023110?
2
What is the millions digit of 4942630?
4
What is the thousands digit of 6436538?
6
What is the hundreds digit of 35888825?
8
What is the hundred thousands digit of 186627?
1
What is the millions digit of 15948629?
5
What is the ten thousands digit of 70111?
7
What is the thousands digit of 4720665?
0
What is the tens digit of 339259?
5
What is the ten thousands digit of 1392823?
9
What is the hundreds digit of 3653092?
0
What is the hundreds digit of 951845?
8
What is the hundreds digit of 87262?
2
What is the tens digit of 1389119?
1
What is the tens digit of 133628?
2
What is the millions digit of 1996852?
1
What is the millions digit of 11913843?
1
What is the ten thousands digit of 21458?
2
What is the units digit of 206898?
8
What is the tens digit of 316705?
0
What is the ten thousands digit of 6494073?
9
What is the ten millions digit of 22054478?
2
What is the hundred thousands digit of 236659?
2
What is the hundred thousands digit of 1701576?
7
What is the millions digit of 3496524?
3
What is the ten thousands digit of 91247?
9
What is the ten thousands digit of 2074782?
7
What is the hundred thousands digit of 176137?
1
What is the tens digit of 5987840?
4
What is the tens digit of 238805?
0
What is the ten thousands digit of 14256092?
5
What is the thousands digit of 53384?
3
What is the hundred thousands digit of 3960776?
9
What is the hundred thousands digit of 5055196?
0
What is the tens digit of 6894616?
1
What is the units digit of 11871555?
5
What is the thousands digit of 13391?
3
What is the hundred thousands digit of 393825?
3
What is the hundreds digit of 94711?
7
What is the hundreds digit of 1310121?
1
What is the ten thousands digit of 188152?
8
What is the tens digit of 26186178?
7
What is the hundred thousands digit of 438638?
4
What is the ten thousands digit of 10935490?
3
What is the ten thousands digit of 1584386?
8
What is the hundred thousands digit of 10898115?
8
What is the millions digit of 13987919?
3
What is the hundred thousands digit of 216672?
2
What is the tens digit of 2272477?
7
What is the millions digit of 1607607?
1
What is the thousands digit of 85365?
5
What is the hundreds digit of 633937?
9
What is the tens digit of 28499619?
1
What is the ten thousands digit of 7606608?
0
What is the ten thousands digit of 169472?
6
What is the units digit of 4103706?
6
What is the hundreds digit of 1691792?
7
What is the hundreds digit of 2317135?
1
What is the ten thousands digit of 887222?
8
What is the tens digit of 15146681?
8
What is the hundred thousands digit of 386515?
3
What is the ten thousands digit of 1082327?
8
What is the millions digit of 1236374?
1
What is the units digit of 2164165?
5
What is the units digit of 59707?
7
What is the thousands digit of 1057113?
7
What is the ten thousands digit of 461685?
6
What is the tens digit of 19556449?
4
What is the hundreds digit of 237297?
2
What is the units digit of 782811?
1
What is the hundreds digit of 2764600?
6
What is the units digit of 134269?
9
What is the ten thousands digit of 450145?
5
What is the hundreds digit of 704812?
8
What is the hundred thousands digit of 355262?
3
What is the hundreds digit of 350902?
9
What is the hundred thousands digit of 517720?
5
What is the thousands digit of 212717?
2
What is the thousands digit of 1568926?
8
What is the tens digit of 987516?
1
What is the ten thousands digit of 2050614?
5
What is the tens digit of 89359?
5
What is the hundred thousands digit of 7055137?
0
What is the ten thousands digit of 110319?
1
What is the tens digit of 35474989?
8
What is the ten millions digit of 18748781?
1
What is the hundred thousands digit of 11736646?
7
What is the hundreds digit of 412332?
3
What is the units digit of 922595?
5
What is the tens digit of 1767395?
9
What is the hundreds digit of 385362?
3
What is the thousands digit of 427829?
7
What is the millions digit of 3328309?
3
What is the units digit of 3864311?
1
What is the thousands digit of 2671065?
1
What is the units digit of 7519619?
9
What is the hundreds digit of 9977378?
3
What is the units digit of 523013?
3
What is the ten millions digit of 19920164?
1
What is the ten thousands digit of 3952796?
5
What is the hundreds digit of 263336?
3
What is the tens digit of 42420299?
9
What is the ten thousands digit of 24633664?
3
What is the hundreds digit of 488197?
1
What is the hundred thousands digit of 2717234?
7
What is the units digit of 93025?
5
What is the hundreds digit of 962544?
5
What is the hundred thousands digit of 114917?
1
What is the hundred thousands digit of 292381?
2
What is the units digit of 242864?
4
What is the thousands digit of 3047756?
7
What is the hundreds digit of 167160?
1
What is the thousands digit of 274639?
4
What is the tens digit of 5077593?
9
What is the tens digit of 125095?
9
What is the ten thousands digit of 1992551?
9
What is the thousands digit of 782433?
2
What is the hundreds digit of 5635338?
3
What is the tens digit of 64948?
4
What is the hundred thousands digit of 9285752?
2
What is the hundred thousands digit of 185914?
1
What is the thousands digit of 699350?
9
What is the units digit of 1412177?
7
What is the units digit of 2987889?
9
What is the ten thousands digit of 10333956?
3
What is the tens digit of 724460?
6
What is the tens digit of 116334?
3
What is the hundred thousands digit of 28592657?
5
What is the units digit of 441678?
8
What is the hundred thousands digit of 152865?
1
What is the tens digit of 3535775?
7
What is the tens digit of 246138?
3
What is the hundreds digit of 32610?
6
What is the thousands digit of 3764813?
4
What is the units digit of 226877?
7
What is the hundred thousands digit of 130098?
1
What is the units digit of 33842?
2
What is the thousands digit of 38091417?
1
What is the tens digit of 253028?
2
What is the hundreds digit of 166176?
1
What is the hundred thousands digit of 235374?
2
What is the hundred thousands digit of 763329?
7
What is the thousands digit of 1051003?
1
What is the thousands digit of 2667880?
7
What is the ten thousands digit of 977693?
7
What is the millions digit of 35902953?
5
What is the ten thousands digit of 241979?
4
What is the ten thousands digit of 5708255?
0
What is the ten thousands digit of 216351?
1
What is the tens digit of 1518713?
1
What is the hundreds digit of 1493125?
1
What is the units digit of 12602008?
8
What is the tens digit of 416273?
7
What is the hundreds digit of 546724?
7
What is the thousands digit of 285502?
5
What is the hundreds digit of 5096?
0
What is the hundreds digit of 5124988?
9
What is the units digit of 5161591?
1
What is the hundred thousands digit of 3122192?
1
What is the hundred thousands digit of 1347630?
3
What is the hundreds digit of 238366?
3
What is the millions digit of 1308429?
1
What is the units digit of 150227?
7
What is the tens digit of 92488?
8
What is the ten thousands digit of 3620069?
2
What is the thous | {
"pile_set_name": "DM Mathematics"
} |
98)?
-1/2
What is ((-20)/(-6))/(1*(27/9)/(-18))?
-20
Evaluate ((-9)/(-285))/(((-46)/(-230))/((-2)/2)).
-3/19
What is the value of (-6)/(-21)*((-13230)/(-585))/(-42)?
-2/13
Calculate 1/14*-3*(-23)/(460/35).
3/8
What is the value of (16/24)/(((30/(-12))/(-5))/(-3))?
-4
What is the value of 168/189*(-180)/(-40)?
4
What is the value of (24576/72)/32*3/(-10)?
-16/5
Evaluate (-5110)/(-37814)*2/10*(-2)/(-2).
1/37
What is (-7)/((-490)/(-20))*-28*(-2)/320?
-1/20
What is the value of (-18)/(-2)*(-598)/(-897)?
6
What is 2/(12/2)*-14*4/84?
-2/9
What is (-84)/(-147)*(-1)/((-4)/14)?
2
Evaluate (6/(-21))/(-11*28/2156).
2
(-2061)/(-17175)*10/6*(-3)/(-2)
3/10
What is the value of (-1)/((9/45)/((-56)/105))*-3?
-8
Evaluate -2*3*(-88)/66.
8
What is the value of ((147/42)/((-14)/2))/(1/2)?
-1
(-3)/(-9)*-3*13/((-169)/(-247))
-19
What is (-6)/4*(32/(-6))/((-470)/1645)?
-28
((-24)/9)/((-27)/((-1134)/56))
-2
What is (-38)/(-475)*(-30)/36*1?
-1/15
Calculate 2*(363/(-2))/33.
-11
Evaluate (24/(-112)*(-8)/(-12))/(30/35).
-1/6
Calculate (14/(-35))/((-72)/(-270))*(-2)/(-10).
-3/10
(16/16)/(((-56)/7)/32*-2)
2
What is the value of ((76/(-171))/((-12)/(-18)))/(5/(-255))?
34
Calculate (-28)/(-49)*(-27195)/(-444).
35
Calculate (4/(-7))/(5206/(-959)).
2/19
Evaluate 1296/504*(-2)/(-18).
2/7
26/4*299/(-3887)
-1/2
What is ((-16)/(-4))/((-70)/(-28)*(-2)/(-10))?
8
What is ((-18)/4)/1*(-220)/1155?
6/7
What is the value of 2/(-1)*(326/(-2119))/(4/(-169))?
-13
Calculate ((-28)/(-48)*6)/((-1)/((-1)/3)).
7/6
Evaluate 21/(-6)*3/(27*15/(-90)).
7/3
Calculate (53/(-53))/(121/11).
-1/11
Calculate 24/124*(-72)/216.
-2/31
(-120)/(-700)*20/(-8)
-3/7
((-70)/210)/(2/(-370)*-5)
-37/3
Calculate 5*(((-14)/3)/(-7))/(60/18).
1
What is (-1)/(2/(144/18))?
-4
What is the value of ((-10)/5)/((-112)/14)?
1/4
What is the value of ((-2)/(-80)*8)/(2/(-70))?
-7
((-1058)/(-345)*5)/((-16)/6)
-23/4
What is the value of (-5)/7*(252/(-490))/((-24)/(-56))?
6/7
What is the value of 189/35*((-25)/30)/((-2)/4)?
9
What is (-1*54/72)/(9/(-84))?
7
Evaluate (-3048)/635*(-1)/18.
4/15
What is the value of (20*(-7)/(-56))/(50/240)?
12
What is the value of 108/198*(-5)/30?
-1/11
What is ((-36)/(-8))/3*408/(-12546)?
-2/41
Calculate 2/3*(-1449)/9660.
-1/10
Evaluate (-99)/66*8*(-13)/234.
2/3
Evaluate ((-13)/52)/(((-143)/(-676))/11).
-13
Calculate (-24)/(-88)*11/(-2)*(-16)/(-3).
-8
Evaluate (2/(140/(-135)))/((-54)/(-504)*-4).
9/2
What is the value of (1/(-12))/((-280)/(-448))?
-2/15
What is (27/(-567))/(12/14)*8?
-4/9
(5/180*-2)/((-20)/(-80))
-2/9
What is -6*((102/(-85))/6)/(3/(-10))?
-4
Evaluate -9*-22*(-7)/77*10/(-12).
15
What is ((-13)/(39/115))/((-25)/15)?
23
What is (2/3)/((-4387)/321)?
-2/41
Evaluate (4/(-6))/(((-122)/(-12))/61).
-4
Evaluate ((-2)/6*-2)/((13668/469)/(-102)).
-7/3
(4/(-3))/((-32)/24*3/3)
1
What is the value of (-108)/(-18)*(-17)/1275?
-2/25
Evaluate (-26*4/16)/((-6)/6)*2.
13
Evaluate (801/(-1068))/(2/(-16)).
6
Calculate (1890/(-7))/(-9)*(-3)/6.
-15
What is the value of 6/1*(((-160)/(-8))/(-4))/(-2)?
15
Calculate ((-1)/(-2))/(504/(-72)).
-1/14
What is the value of ((-25)/(-20)*-1)/(39/52)?
-5/3
Calculate 45/8*(-61)/((-24095)/158).
9/4
What is (-63)/504*(-80)/(-4)?
-5/2
What is the value of (((-4)/(108/9))/7)/((-14)/(-49))?
-1/6
((-41)/(1845/306))/(((-4)/(-5))/2)
-17
What is the value of (43/258)/((-7)/4)?
-2/21
What is the value of (40/(-150))/((-27)/(-162))?
-8/5
Evaluate ((-29)/((-2610)/(-36)))/(120/25).
-1/12
What is the value of (95/19)/((-15)/(-27))?
9
Evaluate ((-75)/(-35))/15*(-539)/(-11).
7
Calculate (9/135)/(11/99*-3).
-1/5
What is the value of ((-4)/(-72))/(82/(-246))?
-1/6
(2/(-20))/(103/1236)
-6/5
What is ((58/(-87))/(15/(-18)))/((-2)/(-45))?
18
What is (11808/(-6232))/((-9)/114)?
24
Evaluate 0/(((-40)/(-1))/5).
0
What is the value of (3/(-45)*6*-1)/(4/30)?
3
What is (1673/1912)/(70*1/8)?
1/10
Calculate -78*8/(-120)*5/40*-4.
-13/5
What is 35*(17/(-1))/85?
-7
Evaluate 48/240*(10/3)/(-5).
-2/15
What is (-579)/(-579)*4/(6/27*1)?
18
Calculate ((21/(-15))/7)/((-27)/(-162)).
-6/5
(5*108/(-2835))/(4/27)
-9/7
What is ((-36)/(-30))/((-108)/540)?
-6
What is the value of 192/448*14/(-8)?
-3/4
Calculate 7*(-18)/(-49)*(-21)/(-9).
6
(-3650)/5110*21/9
-5/3
What is the value of (-4)/(-10)*(-18900)/1680?
-9/2
Evaluate ((-392)/(-231))/(234/143)*(-6)/(-4).
14/9
What is (12/8)/3*(-4048)/(-184)?
11
Calculate 0*(-1224)/(-272)*1/9.
0
What is 6/10*65/((-10140)/(-364))?
7/5
What is the value of ((-39)/(25857/34))/((-2)/(-6))?
-2/13
Calculate (636/(-1431))/(8/(-3)).
1/6
What is 2*((-10)/6)/((-3)/((-72)/(-32)))?
5/2
(-15489)/8605*(-15)/(-1)
-27
What is the value of ((-50)/(-3))/(-5)*2544/530?
-16
What is 15680/(-49280)*((-4)/7)/(-1)?
-2/11
What is the value of (1/(-11))/(333/(-40293))?
11
What is (-3)/(-30)*-4*31/186?
-1/15
What is the value of ((-4)/((-80)/(-30))*4/(-6))/1?
1
((-6)/(-5))/(-6*1*6/120)
-4
Calculate (-6)/1*4/(25/(150/(-12))).
12
What is 1/((-10)/15)*144/135?
-8/5
((-441)/140)/(-9)*392/1029
2/15
What is ((-18)/(-63))/(-3*15/(-35))?
2/9
Calculate 2/(-5)*1791/1194.
-3/5
What is (342/2052)/(4/(-15))?
-5/8
20/(-2)*(-192)/320*4
24
Calculate 162/702*65/(-30).
-1/2
What is 10*(-17)/(1105/2)?
-4/13
What is (3*4/42)/(4235/17787)?
6/5
Evaluate 3/6*14/(-175)*-5*1.
1/5
14/(-5)*2/2*(-59030)/(-5903)
-28
Evaluate (-822)/2466*1*-15.
5
What is the value of ((-48)/684)/((-54)/243)?
6/19
Calculate -1*(-5)/40*25/((-175)/(-112)).
2
What is 16/(-1620)*(-1656)/368?
2/45
Calculate ((243/18)/27)/((-2)/2).
-1/2
Evaluate (-25452)/9090*(-50)/98.
10/7
What is the value of 9*(-56)/588*21/9?
-2
What is the value of 21/(-231)*-55*-3?
-15
(-79)/395*90/12
-3/2
What is ((-34)/(-374))/(2/(-1)*(-4)/8)?
1/11
What is (10/(-5))/(-3*5*(-49)/(-294))?
4/5
What is the value of ((-11)/275)/(6/(-20))?
2/15
Evaluate ((273/52)/(-7))/(((-9)/(-2))/3).
-1/2
What is ((-3)/2)/(224/28)*4?
-3/4
What is ((-18)/(792/(-22)))/(6/(-28))*6?
-14
Calculate (((-812)/(-28))/(-87))/3.
-1/9
(-37)/(407/22)*9/(-6)
3
What is (((-80)/12)/((-280)/60))/(1/7)?
10
((-22)/(-44))/(2/44)
11
What is the value of (-1)/((504/21)/120)?
-5
Calculate ((-12)/(-10))/((48/12)/(-40)).
-12
Evaluate (-10)/18*-2*-6*47/(-188).
5/3
What is ((-2)/(-2))/((-4)/(-3))*(-1564)/2346?
-1/2
What is the value of 1/(-21)*104/1196*-23?
2/21
Calculate (-24*25/1950)/(-2).
2/13
Calculate (((-35)/10)/(-1))/((-3)/(-36)*-6).
-7
Calculate 42/(-10)*(-1480)/1036.
6
35/(-30)*(-18)/336*2
1/8
What is ((-90)/(-6))/15*23/(-5)?
-23/5
What is 24/(-36)*(-180)/(-200)?
-3/5
Evaluate (4/(-76))/((50/(-20))/(-5)).
-2/19
What is (-7)/(-3)*13/91*1?
1/3
What is (500/(-25))/(-10)*10/(-1)?
-20
What is (66/(-8))/((-252)/336)?
11
What is the value of ((-3)/(-9)*-1*1)/((-3500)/(-600))?
-2/35
Calculate (10/7)/((-725)/(-203)).
2/5
Evaluate ((-7)/140*-7)/(47/(-376)).
-14/5
What is ((-14)/(112/8))/(8/24*-1)?
3
What is (2684/(-16104))/(1/60)?
-10
Evaluate (1*4*-1)/(20*(-43)/(-1720)).
-8
What is the value of 711/(-553)*28/6?
-6
Calculate (2/(-6))/((-108)/405).
5/4
Calculate (1/((-30)/(-4)))/(637/(-273)).
-2/35
What is 169/26*400/130?
20
What is 660/176*(12/(-30))/2?
-3/4
Evaluate (-95)/(-38)*(-1568)/735.
-16/3
What is 24*35/35*1/6?
4
Calculate ((-15)/180*117)/(6/(-8)).
13
(44/99)/(4/3)*18/87
2/29
Evaluate (2/(-3))/((-61)/366).
4
Calculate (10/(-8))/(1378/(-27560)).
25
(-7)/(-6)*(-710)/497
-5/3
(16/(-120))/(80/(-48)*(-4)/5)
-1/10
What is (-3495)/7456*8/(-20)?
3/16
What is (-4)/15*((-972)/(-8))/27?
-6/5
Calculate (8/6)/(776/14550).
25
What is the value of ((6624/128)/23)/(-3)?
-3/4
Evaluate (13/130*-5)/(4/(-200)).
25
What is (-2)/(-2)*25*1/250?
1/10
What is the value of 3/17*6/(-18)?
-1/17
What is the value of ((-63)/336*-136)/((-1)/((-6)/9))?
17
What is ((-648)/(-12636))/((-2)/(-6))?
2/13
What is the value of (-7)/(-7)*(-5)/(5/1)*-6?
6
What is the value of ((-4)/6)/((-128)/(-96))*7?
-7/2
What is (12*(-56)/840)/((-4)/30*1)?
6
Evaluate ((-6)/(-840)*7)/(7/140*12).
1/12
Evaluate (-18)/21*2877/(-137).
18
What is the value of (14/(-21)*-3)/(6/(-12))?
-4
(46/3)/(548/(-822))
-23
What is (-1*1)/(((-588)/(-24))/((-105)/(-45)))?
-2/21
What is the value of (1/3)/((-256)/(-4608))?
6
What is the value of ((-180)/16)/9*1440/(-24300)?
2/27
Calculate ((-4)/(-1))/2*2250/(-1500).
-3
1*20/4*(24/9)/8
5/3
((-252)/4200)/(6/(-20))
1/5
Calculate 7*-3*1*122/427.
-6
What is | {
"pile_set_name": "DM Mathematics"
} |
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