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(3*m**2 - 5*m**2 + 5*m**2)*(7*m**2 + m - 9*m**2 + 171 - 173).
-6*m**4 + 3*m**3 - 6*m**2
Expand 1671*m - 159*m**5 - 1671*m - 4*m**5 + 3*m**5 + 2*m**5 - 3*m**5 + 0*m**5 + 2*m**5 - m**5 + 3*m**4 - 3*m**4 + (2 - 2 + 2*m**3)*(-3*m**2 + 4*m**2 - 3*m**2).
-164*m**5
Expand (-8 - 2*d + 8)*(4 - 1 - 1)*(-3 + 13 + 5).
-60*d
Expand (-4 + 6 + 1 + (1 - 8 + 1)*(-5 + 4 - 1) + 3 + 1 - 1)*(d**3 + 0*d**3 + d**3).
36*d**3
Expand (0*c + 3*c - 2*c)*(-3*c**4 + 9*c**4 + 0*c**4) + (5*c + 0*c - 2*c)*(8 - 12*c**2 - 8)*(4*c**2 - c**2 - 2*c**2) - 2*c**3 + 2*c**3 - c**5.
-31*c**5
Expand (n**2 + 2*n**2 - 2*n**2 - 5*n**2 + 2*n**2 + 4*n**2 + (0*n + 5*n - 3*n)*(2*n + 0 + 0) - n**2 + 5*n**2 - 2*n**2)*(-3 + 3 - 2*n).
-16*n**3
Expand (-9 + 3 - 20)*(-17 + 7 + 11*j - 10*j).
-26*j + 260
Expand (7*c - 3*c - 3*c)*(3*c**3 + 2*c**3 - 6*c**3)*(5 - 14 + 3)*(c - 4*c + c).
-12*c**5
Expand (c + c - c)*(0*c - c + 3*c + (2 + 0 + 0)*(-3 + c + 3) + (9 - 19 - 26)*(4 - 4 - 2*c) + (2 - 2 + 2)*(1 - 1 - 2*c) + 0*c - 2*c + c).
71*c**2
Expand (-79 - 81 + 163)*(-7*f - 6*f + f).
-36*f
Expand 2*u + 5 - 5 + (-7 + 58 - 6)*(0*u + 2*u + 0*u).
92*u
Expand (2*i**2 - 4*i**2 + 0*i**2)*(-32 - 17*i + 32) + 3*i**3 - 4*i**3 - i**3 + (2*i**2 - 7*i**2 + 3*i**2)*(2*i - i + i) - 4*i**2 - 2*i**3 + 4*i**2.
26*i**3
Expand (-29*d**4 + 2*d**4 - 19*d**4)*(0 - 4 + 1).
138*d**4
Expand ((5*k - 2*k - k)*(k**3 + 2*k**3 - k**3) + 3*k + 56*k**2 + 2*k**4 - 56*k**2 - 2*k**3)*(6 + 10 + 2).
108*k**4 - 36*k**3 + 54*k
Expand (19 + 12 - 7)*(2 - 1 + 2)*(u**3 - u**3 - 2*u**3) + (4*u - 4*u + u)*(6*u**2 - 3*u**2 + u**2).
-140*u**3
Expand (22 - 6 + 25 - 6)*(6*u + u + 11*u**4 - 12*u**4).
-35*u**4 + 245*u
Expand (-2*r + 2*r - 2*r)*((0 + 0 - 2)*(-4 + 6 - 1) + 4 + 3 + 0 + (-2 + 1 + 2)*(1 + 0 + 3)).
-18*r
Expand (-2 + 3 + 0)*(-l**2 + 6*l**2 - 3*l**2) + 617*l**2 + 46612 - 46612 - 2*l - l + l**2 + l**2.
621*l**2 - 3*l
Expand (f + 2*f - 2*f)*(3*f - 3*f + 2*f) - 1 + 1 + f**2 + (-5 - 4 + 5)*(0 - 2*f**2 + 0).
11*f**2
Expand (-30 - 3*d**2 + 30)*(-1 - 2 - 1).
12*d**2
Expand (-17 + 17 - 8*q)*(-4 + 2 - 11)*(3 - 5 + 3)*(-1 + 4 - 1).
208*q
Expand (1 + 0 + 1)*(-19*w**2 - 25*w**2 + 45*w**2 - 21*w)*(4*w + 2*w - 5*w)*(-3*w**2 + 0*w**2 + 6*w**2).
6*w**5 - 126*w**4
Expand (43 + 56 - 4)*(2*z**3 + 5 - 5) + z**3 - 3*z**3 + z**3 + z**2 + 0*z**2 + 0*z**3 - 2*z**3.
187*z**3 + z**2
Expand (0*w**2 - 2*w**2 + 4*w**2)*(0 + 1 - 2)*(-27*w**2 - 14*w**2 + 9*w**2 + 3*w).
64*w**4 - 6*w**3
Expand (-7*g**2 - 13*g**2 + 4*g**2)*(6*g - 3 - 7*g + 2).
16*g**3 + 16*g**2
Expand (115*j**2 + 5*j + 8 - 117*j**2 - 3)*(-1 + 1 + 14).
-28*j**2 + 70*j + 70
Expand (-6*q - 217 + 32*q - 24*q)*(0*q + 0*q + q).
2*q**2 - 217*q
Expand (753 + 2 + 496 + 201)*(-d**4 + 0*d**3 + 0*d**3).
-1452*d**4
Expand (-4*j**3 + 0*j**3 + 3*j**3)*(397*j - 94*j + 49*j).
-352*j**4
Expand 17*u + 13 - 14 - 2 - 6*u**2 + 0*u**2 + 2*u**2 - u**2 + (-u + 4*u - u)*(-1 + 1 + u).
-3*u**2 + 17*u - 3
Expand (0*o + 0*o + 4*o)*(7365*o + 39*o**2 - 7363*o - 9*o**2).
120*o**3 + 8*o**2
Expand (943 - 13*v**2 - 943)*(2*v**2 - 4*v**2 - 3*v**2).
65*v**4
Expand ((-2 + 1 + 3)*(-q - 3*q + 2*q) + 40*q + 54 - 54)*(2*q + 0*q - 2 - q).
36*q**2 - 72*q
Expand ((-2 + 0 - 1)*(0*a + 0*a + 2*a) - 2*a - 10 + 10)*(-4*a + 1 - 1).
32*a**2
Expand (383*s - 383*s + 6 - s**2)*(2*s**2 + s - s).
-2*s**4 + 12*s**2
Expand (4 + 0 - 2)*(0*c**5 + 7*c**5 + 0*c**5) + (7*c**3 + 3*c**3 - 3*c**3)*(-2*c**2 + 4*c**2 - 3*c**2).
7*c**5
Expand (-1488 + 205*z**5 + 1488 + z**4)*(-5 + 0 + 3 + 2 + 0 + 0 + (-2 + 2 + 2)*(1 + 2 - 1)).
820*z**5 + 4*z**4
Expand (6*f - 2*f - 3 - 5*f)*(f + 10*f + 16*f).
-27*f**2 - 81*f
Expand (-2*o + 3*o - 2*o)*(-2*o - o + 2*o) + 5*o - 5*o + o**2 + 5 - 1592*o + 1592*o - 15*o**2.
-13*o**2 + 5
Expand -35*r**5 - 57988*r**2 + 57988*r**2 + (-3*r**4 + 4*r**4 - 2*r**4)*(2*r - r + r).
-37*r**5
Expand (0*c - c + 2*c)*(1 - 4 + 1)*(0*c - 2*c**2 + 0*c)*(113*c - 26*c - 8*c).
316*c**4
Expand -2*w**2 + w + 370 - 370 + (0*w + 2*w + 0*w)*(3*w - 2*w - 2*w) + 2*w**2 - 3*w**2 - w**2 - 4*w + 4*w - 2*w**2 + 4 - 4 + 2*w**2 - 2*w**2 - 3*w**2 + 0*w**2.
-11*w**2 + w
Expand 3 + 2*h - 3 + (-40*h - 134*h + 37*h)*(4 - 4 - 2).
276*h
Expand (-3*n**2 + 3*n - 2*n - 8*n)*(-2 - 3 + 4).
3*n**2 + 7*n
Expand (374*h - 15641 + 15641)*(-3 + 2 + 2).
374*h
Expand 159*l - 159*l - 22*l**4 + (-1 + 1 - l**4)*(-1 + 0 - 1).
-20*l**4
Expand -2*z**3 + 2*z**3 + 3*z**5 + 6*z**3 - 3*z**3 - z**3 - 3*z**5 + (z**5 + 0*z**5 + 0*z**5)*(0 + 1 + 3).
4*z**5 + 2*z**3
Expand (1 - 2*a - 1)*(-1 + 4 - 2) + 0 - 2*a + 0 + 2*a + 0*a + 0*a - 8*a + 4 + 7 - 5.
-10*a + 6
Expand (-14*v - 8*v - 4*v)*(-8 - 7 + 1 + v).
-26*v**2 + 364*v
Expand (0 - 2 - 5)*(-4*j**3 - 10*j**3 + 8*j**3) + (5 + 6*j - 5)*(3*j**2 - 4*j**2 - 2*j**2).
24*j**3
Expand (2 - 1 + 1)*(-2*m**4 + m**4 + 0*m**4) - 2*m**4 - m**4 + 4*m**4 - 39*m**4 + 18*m**3 - 18*m**3 + 2*m**2 + 2*m**4 - 20 + 20.
-38*m**4 + 2*m**2
Expand (-h + 2*h + h)*(2 - 1 + 1)*(3 - 31*h - 48*h + 55*h).
-96*h**2 + 12*h
Expand (-q - 1 + 1 - 4 + 4 + 2*q + (3 - 4 + 3)*(q + 4 - 4) - 4 - q + 4 + q - 4*q + 5*q + (-7*q + 2*q + 3*q)*(5 - 15 + 1))*(-2*q**3 - 6*q**3 + 4*q**3).
-88*q**4
Expand (1 - 1 + b)*((0 - 1 + 3)*(-b + 0*b - b) + 2*b + 2*b + b).
b**2
Expand (-6*o + 5*o + 6*o)*(3 + 4*o - 1 - 3*o) - 10*o + 10*o - 4*o**2.
o**2 + 10*o
Expand (-10*y - y**2 + 10*y)*(-y**2 - y**2 + 4*y**2) + 9*y**4 + 3*y**4 + 2*y**4 + 1 + 2*y**2 - 2*y**4 + y**4 + 3*y**4.
14*y**4 + 2*y**2 + 1
Expand (1 - 2*w**2 - 1)*((1 + 3 - 5)*(7*w + 2*w - w) + 2*w - 6*w + 2*w + w - 3*w + 4*w) + 0*w**3 - 3*w**3 + 2*w**3.
15*w**3
Expand (-12*n - 29 + 29)*(5*n - 3*n + 16 - 22).
-24*n**2 + 72*n
Expand (-5*t - 7*t - 9*t)*(-51 - 9 - 35 + 4).
1911*t
Expand (-3*i + 0*i + 0*i)*((-2 - 1 + 1)*(0*i**2 + 2*i**2 - 4*i**2) + 2*i**2 + 3*i**2 + i**2 + (0*i - 3*i + 2*i)*(i - 5*i + 3*i)).
-33*i**3
Expand (p + 0 + 0)*(10 + 33 - 16 + (1 + 0 + 0)*(-2 + 1 + 0)).
26*p
Expand (-1 + 6 - 1)*(-3*t - t + 2*t)*(0 + 4 - 2)*(-1 - 1 - 1) + t + 2*t - 4*t.
47*t
Expand (0 + 2 + 0)*(-2*v + 57 + 59 - 117)*(-15 + 2 + 1).
48*v + 24
Expand (-1 - 1 - 3 + (5 + 1 - 4)*(-2 - 2 + 2))*(-1488 + 1488 - 36*m).
324*m
Expand c**3 - c + c + (c**2 + c**2 + 0*c**2)*(3*c + 3*c - 4*c) + (13*c**2 + 0*c**2 + 5*c**2)*(0*c + c - 3*c).
-31*c**3
Expand 0*t**3 + 0*t**3 - t**3 + 3 + t**3 - 3 + (-2*t + 2*t**2 + 2*t)*(-2*t - t + t) - t**3 + 0*t**2 + 0*t**2 + 75*t - 9*t + 12*t - t**3.
-6*t**3 + 78*t
Expand (1 - 1 - 2*h)*(-2*h**2 + 2*h**2 - h**2) + 10*h**3 - 25556*h**2 + 5 + 25556*h**2.
12*h**3 + 5
Expand (-3*n + 17*n**2 - 62*n**2 + 27*n**2 + 2)*(8 - 2*n - 8).
36*n**3 + 6*n**2 - 4*n
Expand (0 + 0 + 1 + (4 - 3 - 2)*(-1 - 5 + 4) - 5 + 16 + 7)*(3*k - 4*k + 6*k).
105*k
Expand (0 - 2 + 4)*(1 + 2 - 1)*(-1 + 1 + 2*c) + (4*c + 36*c - 8*c)*(-1 - 1 + 0).
-56*c
Expand 5944*a**4 - 2979*a**4 - 4 + 2*a + a**3 - 2986*a**4 - 3*a**2 + 5*a**4 + 3*a**2 + (0*a - 3*a + a)*(7*a**3 - 3*a**3 - 3*a**3).
-18*a**4 + a**3 + 2*a - 4
Expand (-10*b - 24*b**2 + 3*b + 5*b)*(13*b - 13*b - 8*b**3).
192*b**5 + 16*b**4
Expand -33*y**3 - 17*y**3 + 32*y**3 - y**3 - y**3 + 4*y**3 + (2*y**2 - 4*y**2 + y**2)*(4 - y - 4).
-15*y**3
Expand -9*g + 9*g - 6*g**4 + 4 - 4 + 3*g**4 + (2*g**4 - g**2 + g**2)*(7 - 4 - 2) + g**4 + 0*g + 0*g - 4*g**4 + 3*g**4 + 3*g**4 + 4*g**4 + g**4 - 3*g**4.
4*g**4
Expand (-14 + 14 - 5*x)*(-3 + x + 3 + (-13*x - 30 + 30)*(2 + 1 - 1)).
125*x**2
Expand (1 - 3 + 4)*(2*b - 5*b + 2*b)*(-3*b**3 - 4*b**2 + 4*b**2) - 150*b - 15*b**4 + 150*b.
-9*b**4
Expand ((5 + 4*r - 5)*(-2 - 1 + 5) - 3*r + 2*r + 2*r)*(-3*r + 0 + 5 - 3).
-27*r**2 + 18*r
Expand (-2 + 1 + 2)*(-6*t + 3*t + 5*t) - 2444 + 2*t + 1214 + 1265.
4*t + 35
Expand (3*c**3 + 51*c**3 - 23*c**3)*(-162 + 162 - 14*c**2).
-434*c**5
Expand 4*y**3 - 3*y - 6*y + 11*y - 2*y**3 + 3*y**3 - 2*y**3 + (y**2 + y**2 + 0*y**2)*(-4*y - 2*y + 5*y).
y**3 + 2*y
Expand (-2*z**2 - 35 + 35)*((2*z + 2*z - 5*z)*(-2*z - 4*z + 4*z) + (-3 + 3 - 2*z)*(0*z + 0*z - z)) + 7*z**2 - 7*z**2 + 3*z**4.
-5*z**4
Expand (0*t - t**2 + 0*t)*(-246 + 53 - 180)*(-3*t + 2*t - 2*t).
-1119*t**3
Expand (-5 + 5*l - 5*l - l)*(4*l + 0 + 0).
-4*l**2 - 20*l
Expand (10*a + 3*a - 11*a)*(-4*a**2 + 2*a - 2*a).
-8*a**3
Expand (-4 - 2 + 2)*((3 + 0 - 2)*(5 - 1 - 3) + 2 - 2 + 5)*(0*c + 5*c + 0*c)*(1 - 2 - 2).
360*c
Expand (1 - 3 - 1)*(6*j - 3*j + 0*j)*(29*j + 7*j - 11*j).
-225*j**2
Expand (6 + 3*r - 6 + (-1 - 1 - 5)*(-r + r + 2*r) + 1 - 1 + r)*(2*r + | {
"pile_set_name": "DM Mathematics"
} |
) be the first derivative of 1 + 0*o**2 + 4*o + 3*o - o**2. What is f*t(c) - 6*g(c)?
2*c - 1
Let u(z) = z + 1. Let f(d) be the second derivative of d**3/2 + 3*d**2/2 + 15*d. Give f(k) - 2*u(k).
k + 1
Let g(n) = n**2 + 2*n - 4. Let y(s) = -3*s**2 - 4*s + 7. Suppose -2*u = -7*u + 35. Give u*g(t) + 4*y(t).
-5*t**2 - 2*t
Suppose 0 = r - 2*y - 18, 0*r + 2*r = -5*y. Let x(b) = 6 - r*b + 0 + 6 + 4. Let t(o) = 2*o - 3. Determine 16*t(a) + 3*x(a).
2*a
Let b(c) = -c - 1. Let j(d) = -8*d - 7. Calculate -6*b(v) + j(v).
-2*v - 1
Let s(r) = r**3 + 3*r**2 + 7*r. Let u(y) = -y**3 - 4*y**2 - 8*y. Give -5*s(w) - 4*u(w).
-w**3 + w**2 - 3*w
Let u(w) = 7*w - 2. Let y(b) = 29*b - 8. What is -9*u(m) + 2*y(m)?
-5*m + 2
Let d(p) = 5. Let m(a) = 4*a - 5. Let l(z) = -3*z + 3. Let s(n) = -7*l(n) - 5*m(n). Give 2*d(k) - 3*s(k).
-3*k - 2
Let k(f) = -7*f**2 + 7 - 3 - 10. Let u(p) = 3*p**2 + 3. Give 2*k(g) + 5*u(g).
g**2 + 3
Let o(g) = -15*g**3 + 2*g**2 - 2*g + 2. Let v(x) = -375*x**3 + 51*x**2 - 51*x + 51. Calculate 153*o(f) - 6*v(f).
-45*f**3
Let i(f) = 4*f + 9. Let x(p) = -6*p - 8. Give -3*i(v) - 4*x(v).
12*v + 5
Let f(r) = 4*r + 17. Let y(k) = -4*k - 4. Let w(i) = -11*i - 12. Let x(v) = -3*w(v) + 8*y(v). Let n be 2*4/8*2. What is n*f(u) - 9*x(u)?
-u - 2
Let i(r) = -r**3 + 2*r**2 + 71. Let h(b) = -b**3 + 3*b**2 + 71. Give -2*h(n) + 3*i(n).
-n**3 + 71
Let p(g) = 17 + 11*g - 3*g**2 - 3*g**3 + 2*g**2 - 7*g**2. Let f(m) = m**3 + 3*m**2 - 4*m - 6. Calculate 11*f(l) + 4*p(l).
-l**3 + l**2 + 2
Let j(u) = -5*u**3 + 2*u + 2. Let c(o) = -685*o**3 + 295*o + 295. Let x(y) = 114*y**3 - 49*y - 49. Let q(v) = -4*c(v) - 25*x(v). What is 45*j(z) - 2*q(z)?
-5*z**3
Let m(x) = x - 2 + 2*x + x**2 - 2*x - 3*x. Suppose 0 = -2*h - h + 6. Let y(r) = h + r + 1 - 1. Give -2*m(p) - 3*y(p).
-2*p**2 + p - 2
Let s(u) be the first derivative of 2 + 0*u - 5/2*u**2. Suppose -239 = -37*v + 168. Let c(g) = g. Determine v*c(w) + 2*s(w).
w
Let y(u) = 7*u**3 - 5*u**2 - 5. Let k(d) be the second derivative of d**5 - 7*d**4/6 - 7*d**2 + d. Let o = -182 - -196. What is o*y(f) - 5*k(f)?
-2*f**3
Let c(f) = 14*f + 7. Let n(t) = 5*t + 2. Let w(h) = 3*c(h) - 8*n(h). Let y(q) = -q - 3. Let d(l) = -l**2 - 8*l + 58. Let o be d(-12). Determine o*y(i) + 6*w(i).
2*i
Let o(c) = 0 - 3 - 11*c + 2*c - c**2. Let q(t) = 2*t**2 + 14*t + 5. Determine 8*o(d) + 5*q(d).
2*d**2 - 2*d + 1
Let z(s) = 3*s - 14. Let i(r) = r - 5. Determine -8*i(q) + 3*z(q).
q - 2
Let c(k) be the third derivative of -k**5/60 + k**4/12 + k**2. Let h(n) = -6*n**2 + 11*n. Suppose 2*v + 12 = 6*v. Let l = v - 5. Determine l*h(f) + 11*c(f).
f**2
Let t(c) = -11*c - 3. Let i(a) = 6*a + 1. Determine 7*i(j) + 4*t(j).
-2*j - 5
Let g(a) = 7*a**2 + 6*a + 8. Let n(s) = -15*s**2 - 13*s - 17. Suppose 8*p + 13 = 7*p. What is p*g(r) - 6*n(r)?
-r**2 - 2
Let o(q) = 6*q - 10*q + 8*q - q - 2. Let p(s) = -3*s + 2. Give -3*o(g) - 2*p(g).
-3*g + 2
Let u(g) = g**2 - 7*g. Let n be u(6). Let x(l) = 14*l + 17. Let z(m) be the first derivative of 5*m**2/2 + 6*m + 4. Calculate n*x(c) + 17*z(c).
c
Suppose 2*c - 2*l = -l - 12, -3*c - 2*l - 25 = 0. Let d(p) = 0*p - 4*p**2 + 2 - 3*p - p. Let h(u) = 2*u**2 + 2*u - 1. What is c*h(s) - 3*d(s)?
-2*s**2 - 2*s + 1
Let i(o) = -2*o**3 + 3*o**2 - 5*o - 1. Suppose -2*q - 10 = 0, q - 5*q = 3*h + 29. Let u(w) = -w**3 + 2*w**2 - 3*w - 1. Give h*i(t) + 5*u(t).
t**3 + t**2 - 2
Let g(h) = 17*h**3 - 5*h**2 - 5*h. Let m(i) = -12*i**3 + 3*i**2 - 8*i**3 - i**2 + 12*i**3 + 2*i. Determine 2*g(j) + 5*m(j).
-6*j**3
Let l(j) = 48*j - 10. Let d(g) = -16*g + 3. Give 10*d(y) + 3*l(y).
-16*y
Let u(m) = m**2 - 3*m + 8. Let g(s) = s**2 - s. Give 3*g(l) - u(l).
2*l**2 - 8
Let u(s) = 25*s - 5. Let g(p) = 12*p - 2. Determine -5*g(v) + 2*u(v).
-10*v
Let s(w) = -293 + 587 - 293. Let v(b) = -5*b - 1. Give -s(y) - v(y).
5*y
Let h(a) = -29*a - 16. Let s(o) = 15*o + 8. Let y(g) = 6*h(g) + 11*s(g). Let q(l) = 7 - 4*l + 12*l + 0. What is -7*q(z) - 6*y(z)?
-2*z - 1
Suppose 3*o - 2 + 35 = 0. Let t = -17 - o. Let n(i) = 20*i + 6. Let k(u) = 7*u + 2. What is t*n(f) + 17*k(f)?
-f - 2
Let a = 18 + -20. Suppose -4*s = -21 + 1. Suppose -s*x - 15 + 4 = 4*f, x = 5. Let g(z) = -2. Let y(q) = -q**3 + 9. Calculate a*y(d) + f*g(d).
2*d**3
Let f(x) = x - 1. Let l(k) = -11*k + 3. Calculate -5*f(u) - l(u).
6*u + 2
Let g(r) = r**2 - 4*r + 1. Suppose 2*s = -3 + 1. Let i(t) = -t. Let f(d) = s*g(d) + 4*i(d). Let b(v) = -6*v**2 + 2*v - 6. Give b(x) - 4*f(x).
-2*x**2 + 2*x - 2
Let z(x) = x**3 - 3*x**2 - 4*x - 1. Let g be z(4). Let f(l) = l**2 + l - 1. Let y(k) = 3*k**3 + 6*k**2 + 6*k - 6. Determine g*y(n) + 6*f(n).
-3*n**3
Let f(k) = 10*k**2 + 4*k - 4. Let j(l) = -9*l**2 - 5*l + 5. Give -5*f(i) - 4*j(i).
-14*i**2
Let f(y) = 2 - 4 + 4 + 7*y - 3. Let u(p) = 6*p - 2. Let t(w) = -3*f(w) + 4*u(w). Let r(j) = -j + 2. Calculate 11*r(c) + 4*t(c).
c + 2
Let v(j) = -46*j - 4. Let g(f) = -23*f - 2. What is 7*g(l) - 3*v(l)?
-23*l - 2
Let f be 4*3*(-3)/(-9). Let g(i) = 2 + 3 - 5*i - f + 3. Let b(n) be the second derivative of 2*n**3/3 - 3*n**2/2 - n. Give 4*b(c) + 3*g(c).
c
Let k(p) = -2*p. Let c(u) = -3*u. Let y(s) = -s**3 + 7*s**2 + s - 4. Let v = -11 + 18. Let i be y(v). Let q be (-10)/(-6)*i/(-1). Calculate q*k(f) + 3*c(f).
f
Let n(u) = u. Let h(d) = 5*d. Let y(t) = -h(t) + 6*n(t). Let v(w) = 2*w + 4. Let k(m) = 2*m + 3. Let o(a) = -4*k(a) + 3*v(a). Calculate -4*o(g) - 7*y(g).
g
Let y(n) = -2 - 2*n**2 + n**3 + 2*n**3 + 0. Let x(c) = 7*c**3 - 5*c**2 - 5. Let r = 1 + 1. Let f = r + -7. What is f*y(a) + 2*x(a)?
-a**3
Let r(p) = 6*p - 3. Let j(x) = 860*x - 446*x - 444*x + 14. Calculate -3*j(z) - 14*r(z).
6*z
Let n(t) = -3*t**3 - 3*t**2 + 1. Let j be n(-2). Let z = 37 - j. Let o(k) = k**2 - k - 1. Let q(h) = 7*h**2 - 8*h - 8. Calculate z*o(f) - 3*q(f).
3*f**2
Let p be (-2)/17 - 192/102. Let f(z) = -5*z**3 + 9*z - z**3 + z**3. Let o(k) be the third derivative of -k**6/120 + k**4/12 - 2*k**2. Determine p*f(j) + 9*o(j).
j**3
Let m(i) = -4*i**2 - 7*i - 9. Suppose -t - 28 = -5*t. Let f(k) = 3 - 6 + 4*k + 2*k**2 + 5 + 3. Give t*f(w) + 4*m(w).
-2*w**2 - 1
Let m be (-12)/(-5) - 16/40. Suppose -7*q = -2*q - 10. Let s(t) = -q - 6 - 5*t**2 - m*t**3 + 2 + 4*t**3. Let d(c) = -3*c**3 + 9*c**2 + 11. Give 4*d(b) + 7*s(b).
2*b**3 + b**2 + 2
Let z(t) = -t**3 + 6*t**2 - 8*t - 4. Let s be z(3). Let i(u) = u + 1. Let k(j) = j**2 + 5. Give s*k(m) + 2*i(m).
-m**2 + 2*m - 3
Let r(y) = 4*y**3 + 3*y**2 - 6*y + 1. Let p(c) = 2*c**3 + c**2 - 3*c. What is 7*p(m) - 3*r(m)?
2*m**3 - 2*m**2 - 3*m - 3
Let k(u) = 3*u - 3. Let d(n) = -9*n + 10. Calculate -6*d(t) - 21*k(t).
-9*t + 3
Let m(a) = -3*a**2 + 9*a + 12. Let s(r) = r**2 - 4*r - 6. Calculate -4*m(q) - 9*s(q).
3*q**2 + 6
Let t(d) = -2*d**3 + d**2 - 5*d + 2. Let g(j) be the second derivative of -j**5/20 + j**4/12 - j**3/2 + j**2/2 + 26*j. Give 5*g(b) - 3*t(b).
b**3 + 2*b**2 - 1
Let f(j) = -j + 5. Let c(g) = -1. Let d(o) = o**3 - 7*o**2 - 10. Let u be d(7). Let x = u - -9. Calculate x*f(w) - 5*c(w).
w
Let w(t) be the first derivative of 4*t**3/3 - 3*t**2/2 - 3*t - 4. Let k(b) = 3*b**2 - 2*b - 2. Calculate 5*k(z) - 4*w(z).
-z**2 + 2*z + 2
Let r(q) = q**2 - 12*q + 5. Let k be r(12). Suppose 4*m - 6 = -k*w, -2*m + 4*w = 1 + 9. Let b(g) = -g**2 - g. Let a(s) = 4*s**2 + 6*s. Give m*a(d) - 6*b(d).
2*d**2
Let n(x) = 4*x**2 - 7*x - 7. Let a be -17*(-3 - -4) + 6/2. Let l(q) = -q**2 + 2*q + 2. What is a*l(o) - 4*n(o)?
-2*o**2
Let p(m) = 5*m - 4. Let q(b) = -4*b + 5. Give 3*p(s) + 2*q(s).
7*s - 2
Let m(q) = -q + 1. Let n(a) = -3*a + 3. Give 5*m(b) - 2*n(b).
b - 1
Let d(f) = -3*f + 1 - 1 - 1 + 2. Let t(m) = -1. Give -d(g) - 2*t(g).
3*g + 1
Let n(b) = 15*b + 8. Let i(s) = 29*s + 15. Calculate 6*i(d) - 11*n(d).
9*d + 2
Let p(m) = m - 5. Let x(s) = -s + 1. Let l = -9 + 10. Suppose -d + 2*i = -1, -4*d + i + 2*i - l = 0. Give d*p(v) - 3*x(v).
2*v + 2
Let q(j) = 7*j**2 - 4*j - 4. Let a(g) = 99*g**2 - 55*g - 55. Give -4*a(y) + 55*q(y).
-11*y**2
Let o(s) = 75*s + 8. Let b(q) = -14626*q - 1562. Determine 4*b(v) + 781*o(v).
71*v
Let h(g) = -2*g - 15. Let c(w) = -w - 8. Let x be 2/3 + 26/6. Suppose 0 = b + 3*b - 4, x*b + 25 = 5*p. Give p*h(d) - 11*c(d).
-d - 2
Let o(f) = 5*f + 3. Let t(p) = -5*p - 4. What is 6*o(s) + 5*t(s)?
5*s - 2
Let h(r) = r**3 - r. Let p(d) = 4*d**3 - 8*d. Give 5*h(m) - p(m).
m**3 + 3*m
Let y(s) | {
"pile_set_name": "DM Mathematics"
} |
- 8*g**2 - 15 - 3*g**2 wrt g?
-78*g + 2
Suppose 22 = 12*j - j. Let t(h) = -29*h**2 + 21*h. Let w(q) = -14*q**2 + 11*q. Let v(k) = j*t(k) - 5*w(k). What is the second derivative of v(d) wrt d?
24
Suppose -8*g + 15 = -169. Find the second derivative of 4*n - 32 - g*n**2 + 110 - 34 - 36 wrt n.
-46
Suppose 0 = 3*r + c - 517, 0 = r + 4*r + 4*c - 857. Differentiate 276*l**4 + r*l**4 - 343*l**4 - 182 wrt l.
424*l**3
What is the first derivative of 1512 - 2914*r + 4235*r + 2183*r + 846*r wrt r?
4350
What is the derivative of 1226386*v + 2098*v**4 - 1226386*v - 2568 wrt v?
8392*v**3
What is the second derivative of -1023*v - 448*v - 2*v**4 + 3879*v + 5*v**3 - 370*v**2 - 1429*v wrt v?
-24*v**2 + 30*v - 740
Suppose 0 = -9*t - 4*t + 26. Suppose -6*b = -t + 2. What is the first derivative of -1 + 38*m**3 + b - 82*m**3 wrt m?
-132*m**2
Suppose 0 = -4*n - 1 + 13. Suppose 1 - 16 = -3*l + q, -n*l - 3*q = -15. Find the third derivative of 14*u**2 - 13*u**5 + 0*u**5 + u**l wrt u.
-720*u**2
Suppose 4*y = -b + 29, y + 17 = 5*y + 5*b. Let i be (-120)/(-65) - y/(-52). What is the second derivative of 16*f**i - 384*f + 6*f**2 + 415*f wrt f?
44
Let s(x) be the second derivative of -1367*x**4/6 + 157*x**3 - 196*x. What is the second derivative of s(a) wrt a?
-5468
Let o(u) be the first derivative of 67*u**6/10 + 2*u**4 + u**3/3 - 61*u - 9. Let l(x) be the first derivative of o(x). Find the third derivative of l(n) wrt n.
4824*n
What is the third derivative of 38 - 13 + 53 + 2997*o**3 - 2679*o**2 + 2681*o**2 + 7 - 2*o wrt o?
17982
Let b(m) = 16*m**2 + 2*m + 25. Suppose 4*o = -87 + 111. Let y(s) = -127*s**2 - 17*s - 200. Let j(n) = o*y(n) + 51*b(n). Differentiate j(z) wrt z.
108*z
Let w(s) = 446*s**2 + 114*s + 16. Let r(v) = v**2 + 4*v + 1. Let a(l) = 80*r(l) - 5*w(l). Find the second derivative of a(t) wrt t.
-4300
Let l(p) be the third derivative of 345*p**4/8 - 125*p**3/3 - 233*p**2 + 4. Find the first derivative of l(w) wrt w.
1035
What is the third derivative of -1366*u**2 + 6581*u**2 - 39 + 65 - 6536*u**4 - 26 wrt u?
-156864*u
Let k(z) be the first derivative of 6917*z**5/5 + 59*z**3/3 - 79*z**2/2 + 11086. What is the third derivative of k(a) wrt a?
166008*a
Let w(c) be the first derivative of 0*c**5 + 1/2*c**2 + 287 + 32/3*c**3 - 51*c**6 + 0*c**4 + 0*c. Find the third derivative of w(u) wrt u.
-18360*u**2
Let r(g) be the third derivative of -5*g**9/504 + 65*g**8/336 + g**5/30 + 592*g**3/3 - 697*g**2. What is the third derivative of r(u) wrt u?
-600*u**3 + 3900*u**2
Let s(i) = -268*i**3 - i**2 + 1363*i - 22. Let c(b) = -7*b**3 + 2. Let w(f) = 22*c(f) + 2*s(f). Find the second derivative of w(o) wrt o.
-4140*o - 4
Let q = -133 + 106. Let w = 53 + q. What is the second derivative of 14*x**5 - w*x + 36*x + 33*x wrt x?
280*x**3
Suppose 2*c - 8 = -4*d, -240*d = -6*c - 244*d + 8. Let h(g) be the second derivative of 5*g + 23/6*g**3 + 41/2*g**2 + c. What is the derivative of h(w) wrt w?
23
Find the second derivative of -3117*u - 18*u**2 - 1544*u - 959*u**3 + 42*u**2 - 26*u**2 wrt u.
-5754*u - 4
Let x(g) be the third derivative of 1/8*g**4 + 1/60*g**6 + 0*g + 29/30*g**5 - 1/2*g**3 + 0 + 18*g**2. What is the second derivative of x(k) wrt k?
12*k + 116
Let g(f) be the first derivative of 527*f**3/3 - 1055*f - 2295. Find the first derivative of g(n) wrt n.
1054*n
Let k(x) = 39 - 37 - 9*x + 39 + 57*x. Let n(c) = -50*c - 42. Let q(d) = 5*k(d) + 6*n(d). What is the derivative of q(p) wrt p?
-60
Let b = -424 - -432. Let h(x) = 259*x**3 + 5*x**2 - 399. Let c(y) = -389*y**3 - 8*y**2 + 599. Let g(k) = b*h(k) + 5*c(k). What is the derivative of g(u) wrt u?
381*u**2
Let u(b) be the second derivative of 193*b**6/5 - 349*b**4/6 - 554*b. Find the third derivative of u(t) wrt t.
27792*t
What is the first derivative of -28 + 6 - 407 - 444*b - 33 - 549 - 2*b**2 wrt b?
-4*b - 444
Suppose -4*i - 30 = -10*i. What is the second derivative of 4*u - 14*u - i - 76*u**4 + u wrt u?
-912*u**2
Suppose 0 = -n + 5*r + 36 - 29, 61 = 3*n + 5*r. What is the derivative of -77 - 40 + n*b**2 + 1 wrt b?
34*b
Suppose 0 = 5*u - 26*u + 63. What is the third derivative of -14*h**u + 14*h**3 + 5*h**3 + 11*h**3 - 4*h**2 + h wrt h?
96
Suppose 4*c - 2 = 3*c. What is the first derivative of 0*u**2 - 28*u + 6*u**c - 24 - 7*u**2 + 20*u wrt u?
-2*u - 8
Let z = 117 - 111. Suppose -74*s + 79*s = 20. What is the third derivative of -27*y**z + y**2 - y**2 - s*y**2 wrt y?
-3240*y**3
Find the second derivative of -3404*d**4 - 19 - 19 + 579*d - 186*d - 237*d - 236*d wrt d.
-40848*d**2
Let f(l) be the first derivative of -11*l**4/4 - 29*l**3/6 - 37*l**2/2 + 21. Let t(b) be the second derivative of f(b). Differentiate t(r) with respect to r.
-66
Suppose -19*s + 8 = -68. What is the second derivative of -4*m**2 + 252*m**4 - 2*m**5 - 98*m - 35*m**2 - 252*m**s wrt m?
-40*m**3 - 78
Let y(n) be the first derivative of -2833*n**4 - 527*n**3/3 + 4*n**2 - 7541. Find the third derivative of y(p) wrt p.
-67992
Suppose 117*d + 68 = 134*d. Let c(f) be the second derivative of 5/2*f**2 + 0 + 0*f**3 + 14*f - 3/4*f**5 + 0*f**d. Differentiate c(k) wrt k.
-45*k**2
Suppose 14 = m + 5*n + 16, -4*n = 2*m - 2. Let g(j) be the third derivative of 0*j - 15*j**2 + 0 + 5/24*j**4 - 2/3*j**m. What is the derivative of g(a) wrt a?
5
Let x(a) be the first derivative of -151*a**4 + a**3/3 + 1883*a**2/2 - 13539. Find the second derivative of x(y) wrt y.
-3624*y + 2
Differentiate -29 + 25 - 96*m + 6*m**2 - 44 + 46*m - 78*m with respect to m.
12*m - 128
Let z(t) be the third derivative of 28 + 0*t + 0*t**4 + 1/2*t**6 - 73/3*t**3 + t**2 + 0*t**5. Find the first derivative of z(y) wrt y.
180*y**2
Let r(x) be the first derivative of -136 - 87/4*x**4 + 0*x**2 + 0*x**3 + 122*x. Differentiate r(o) wrt o.
-261*o**2
Let i(m) be the first derivative of 2*m**2 + 3*m + 87 - 26/3*m**3. Find the second derivative of i(f) wrt f.
-52
Let k(l) = 428*l**3 - 2*l**2 + 15*l - 20. Let t be k(2). What is the first derivative of t*h**2 - 50 + 232*h**3 - 3426*h**2 wrt h?
696*h**2
Suppose -3*m - 6 = 6, 3*w - 5*m - 152 = 0. What is the first derivative of 9*h**2 + 2*h**4 + 3*h**4 - 7*h**4 + w wrt h?
-8*h**3 + 18*h
Let g(t) = -423*t**3 - 2*t**2 - 594*t - 6. Let h(c) = 1270*c**3 + 6*c**2 + 1784*c + 20. Let z(q) = 10*g(q) + 3*h(q). Find the second derivative of z(w) wrt w.
-2520*w - 4
Let a(t) = -8453*t**2 + 9609*t. Let n(l) = -8451*l**2 + 9605*l. Let u(j) = -2*a(j) + 3*n(j). What is the second derivative of u(r) wrt r?
-16894
Let u(y) be the third derivative of 61/15*y**5 - 89/24*y**4 + 0 - 196*y**2 + 0*y**3 + 0*y. Find the second derivative of u(h) wrt h.
488
Suppose 7 = -w - 2*q, 2*q + 3 + 0 = -5*w. Find the third derivative of -1 + 0*j**2 + 13*j**5 + 7*j**5 - 5*j**2 - 1 + w wrt j.
1200*j**2
Let q(m) = 27374*m**2 + 100*m + 2478. Let s(w) = 5475*w**2 + 19*w + 496. Let i(r) = -3*q(r) + 16*s(r). Find the second derivative of i(z) wrt z.
10956
What is the third derivative of -16605*v + 16605*v + 1039*v**6 + v**4 + 238*v**2 - 1075*v**2 wrt v?
124680*v**3 + 24*v
Find the second derivative of -6142*a - 8511*a**4 + 1185*a + 313*a wrt a.
-102132*a**2
Let t(a) be the third derivative of -337*a**9/126 + a**8/168 - 91*a**5/20 - 5*a**4/24 - 2392*a**2 - 2. Find the third derivative of t(f) wrt f.
-161760*f**3 + 120*f**2
Let d(v) be the third derivative of -59*v**8/168 + v**7/35 - 11*v**5/30 - v**3/3 - 3925*v**2. What is the third derivative of d(y) wrt y?
-7080*y**2 + 144*y
Suppose -4*o - 42 = -7*o. Let f = o + -12. What is the second derivative of -11*t**f - 79 + 79 + 9*t wrt t?
-22
Let k(n) = 127*n**3 - 119*n**2 + 5. Let j = 59 + -64. Let y(o) = -64*o**3 + 59*o**2 - 3. Let z(d) = j*y(d) - 3*k(d). What is the third derivative of z(h) wrt h?
-366
Let c(m) be the second derivative of 4*m**6/15 + 281*m**5/20 + 5587*m**2/2 - 5320*m. Differentiate c(u) wrt u.
32*u**3 + 843*u**2
Let n = -248 - -250. What is the second derivative of -408*k**2 + 206*k**n - 7*k**3 + 202*k**2 + 5*k wrt k?
-42*k
Let i = -121 + 145. Suppose -i = -5*w - 4. What is the second derivative of -7 + 40*f**3 - w - 17*f + 11 wrt f?
240*f
Let c(l) = 27729*l**3 - 336*l**2 - 11238. Let b(u) = 6932*u**3 - 80*u**2 - 2810. Let t(m) = 21*b(m) - 5*c(m). Differentiate t(g) with respect to g.
20781*g**2
What is the second derivative of 284*u - | {
"pile_set_name": "DM Mathematics"
} |
15
-2
What is -131 (base 5) in base 14?
-2d
202 (base 4) to base 15
24
What is -9 (base 16) in base 6?
-13
Convert -3 (base 5) to base 16.
-3
Convert 0 (base 9) to base 13.
0
Convert 21 (base 5) to base 9.
12
Convert 2330 (base 4) to base 7.
356
-120 (base 7) to base 3
-2100
Convert -2 (base 10) to base 15.
-2
-1 (base 3) to base 5
-1
What is 1 (base 12) in base 3?
1
1002 (base 5) to base 6
331
Convert 7 (base 13) to base 8.
7
266 (base 11) to base 15
15e
c (base 13) to base 10
12
What is -20 (base 15) in base 3?
-1010
55 (base 11) to base 16
3c
296 (base 10) to base 13
19a
What is -1 (base 12) in base 2?
-1
Convert 5 (base 10) to base 5.
10
-1 (base 12) to base 6
-1
What is -36 (base 9) in base 7?
-45
1 (base 6) to base 16
1
45 (base 7) to base 11
30
b (base 15) to base 11
10
Convert 34 (base 6) to base 11.
20
Convert -3 (base 13) to base 9.
-3
2 (base 4) to base 12
2
-1 (base 7) to base 9
-1
Convert 15 (base 10) to base 13.
12
What is -1031 (base 4) in base 3?
-2212
Convert 31 (base 7) to base 8.
26
21 (base 4) to base 16
9
What is -4 (base 15) in base 2?
-100
-110 (base 3) to base 15
-c
-11 (base 13) to base 4
-32
a6 (base 16) to base 10
166
-61 (base 8) to base 5
-144
Convert 3 (base 10) to base 15.
3
What is 4 (base 11) in base 14?
4
-4 (base 13) to base 16
-4
Convert -44 (base 13) to base 11.
-51
-44 (base 7) to base 14
-24
Convert 79 (base 12) to base 9.
113
What is 12 (base 7) in base 2?
1001
3 (base 16) to base 2
11
Convert -13 (base 15) to base 8.
-22
Convert 1022 (base 3) to base 12.
2b
Convert -32 (base 7) to base 15.
-18
Convert 53 (base 9) to base 10.
48
36 (base 16) to base 7
105
What is 64 (base 9) in base 13?
46
Convert 0 (base 4) to base 16.
0
What is -8 (base 13) in base 3?
-22
What is -114 (base 6) in base 3?
-1201
Convert -6 (base 13) to base 15.
-6
What is -322 (base 4) in base 15?
-3d
What is -40 (base 9) in base 11?
-33
4 (base 9) to base 4
10
-5 (base 13) to base 4
-11
What is 20 (base 11) in base 2?
10110
What is 14e (base 15) in base 6?
1215
Convert -1 (base 12) to base 6.
-1
Convert 34 (base 7) to base 13.
1c
What is 4 (base 12) in base 2?
100
Convert 0 (base 7) to base 4.
0
Convert -162 (base 7) to base 16.
-5d
What is 1 (base 16) in base 4?
1
Convert -10 (base 12) to base 15.
-c
-79 (base 13) to base 4
-1210
What is -1a (base 11) in base 12?
-19
156 (base 7) to base 6
230
Convert 3 (base 12) to base 7.
3
What is 423 (base 6) in base 12?
113
148 (base 9) to base 7
236
411 (base 5) to base 7
211
-1111 (base 3) to base 15
-2a
Convert 1 (base 13) to base 4.
1
Convert -1201 (base 3) to base 5.
-141
Convert 1 (base 5) to base 4.
1
Convert -1202 (base 3) to base 13.
-38
Convert 3010 (base 4) to base 11.
169
-272 (base 9) to base 14
-123
5 (base 11) to base 2
101
What is -1102 (base 3) in base 10?
-38
Convert 4c (base 13) to base 2.
1000000
-1001111 (base 2) to base 9
-87
What is -25 (base 12) in base 5?
-104
Convert -100 (base 3) to base 12.
-9
What is 1000 (base 2) in base 10?
8
Convert 2 (base 11) to base 14.
2
Convert 3 (base 7) to base 9.
3
5 (base 9) to base 11
5
Convert 0 (base 15) to base 12.
0
Convert -1 (base 10) to base 4.
-1
What is -102 (base 5) in base 3?
-1000
Convert 1 (base 10) to base 9.
1
What is 52 (base 12) in base 15?
42
-10 (base 15) to base 7
-21
Convert -1 (base 12) to base 4.
-1
Convert 5 (base 14) to base 5.
10
20 (base 6) to base 12
10
-52 (base 11) to base 2
-111001
What is -23 (base 7) in base 13?
-14
-15 (base 9) to base 6
-22
Convert 10 (base 3) to base 2.
11
Convert 1 (base 11) to base 8.
1
What is -23 (base 4) in base 14?
-b
What is -40 (base 7) in base 5?
-103
-110 (base 5) to base 12
-26
What is -22 (base 14) in base 2?
-11110
100 (base 8) to base 12
54
21 (base 4) to base 10
9
-2 (base 7) to base 2
-10
What is -14 (base 7) in base 10?
-11
What is -7 (base 10) in base 3?
-21
What is -3 (base 5) in base 10?
-3
Convert -10 (base 9) to base 8.
-11
Convert 2 (base 6) to base 3.
2
What is -b (base 12) in base 9?
-12
Convert 3 (base 5) to base 8.
3
Convert -25 (base 6) to base 10.
-17
Convert 10 (base 10) to base 14.
a
-12 (base 9) to base 15
-b
Convert 67 (base 16) to base 10.
103
Convert 3 (base 10) to base 15.
3
What is -38 (base 11) in base 4?
-221
Convert 7 (base 14) to base 4.
13
-8 (base 16) to base 14
-8
Convert 3120 (base 4) to base 12.
160
1211 (base 5) to base 10
181
What is -7 (base 8) in base 12?
-7
What is 21 (base 6) in base 15?
d
Convert -115 (base 6) to base 8.
-57
Convert -11 (base 7) to base 6.
-12
What is 5 (base 9) in base 8?
5
Convert 3 (base 15) to base 5.
3
Convert -14 (base 6) to base 12.
-a
Convert 11 (base 12) to base 5.
23
What is 6 (base 15) in base 5?
11
a7 (base 12) to base 13
9a
Convert 10 (base 2) to base 11.
2
What is 47 (base 15) in base 10?
67
Convert 10 (base 14) to base 11.
13
What is -3 (base 12) in base 15?
-3
1 (base 6) to base 4
1
What is 41 (base 12) in base 10?
49
Convert -2121 (base 3) to base 7.
-130
Convert 204 (base 7) to base 15.
6c
What is 10 (base 4) in base 13?
4
1 (base 13) to base 11
1
Convert -201 (base 7) to base 9.
-120
What is -31 (base 5) in base 14?
-12
What is 0 (base 16) in base 13?
0
What is 13 (base 6) in base 15?
9
What is -7 (base 15) in base 10?
-7
Convert -42 (base 10) to base 14.
-30
What is 20 (base 3) in base 16?
6
What is -11 (base 11) in base 15?
-c
-10101 (base 3) to base 14
-67
-26 (base 9) to base 3
-220
What is -73 (base 9) in base 6?
-150
What is 12 (base 3) in base 10?
5
Convert -1d (base 16) to base 8.
-35
What is -1 (base 15) in base 6?
-1
13 (base 9) to base 3
110
-5 (base 7) to base 9
-5
What is -9 (base 16) in base 11?
-9
What is 212 (base 7) in base 8?
153
What is 110000 (base 2) in base 15?
33
What is -6 (base 8) in base 3?
-20
What is -340 (base 5) in base 10?
-95
Convert 114 (base 11) to base 8.
210
Convert 1 (base 3) to base 10.
1
What is 3a (base 12) in base 13?
37
Convert -62 (base 12) to base 3.
-2202
Convert 4 (base 8) to base 13.
4
Convert 320 (base 4) to base 6.
132
What is -40 (base 7) in base 10?
-28
What is 3 (base 4) in base 12?
3
Convert 0 (base 3) to base 12.
0
What is -40 (base 11) in base 13?
-35
-32 (base 9) to base 4
-131
-1 (base 8) to base 9
-1
-1 (base 9) to base 13
-1
What is -3 (base 13) in base 2?
-11
Convert -21 (base 4) to base 15.
-9
What is -a0 (base 12) in base 2?
-1111000
Convert -231 (base 5) to base 7.
-123
What is -3 (base 15) in base 16?
-3
104 (base 6) to base 14
2c
-5 (base 8) to base 10
-5
What is -6 (base 14) in base 6?
-10
What is -11 (base 3) in base 5?
-4
Convert -12 (base 4) to base 16.
-6
1010 (base 2) to base 14
a
What is -1011 (base 2) in base 14?
-b
-a (base 15) to base 4
-22
10a (base 12) to base 16
9a
What is 13 (base 7) in base 14?
a
What is 20 (base 14) in base 6?
44
Convert -135 (base 13) to base 4.
-3111
What is -20 (base 16) in base 15?
-22
Convert -10200 (base 3) to base 16.
-63
-21 (base 9) to base 3
-201
What is 34 (base 11) in base 6?
101
What is -7 (base 9) in base 13?
-7
0 (base 4) to base 5
0
-17 (base 13) to base 4
-110
-62 (base 11) to base 13
-53
Convert -2 (base 6) to base 15.
-2
What is -11d (base 14) in base 13?
-142
100 (base 2) to base 5
4
41 (base 16) to base 2
1000001
Convert -7 (base 11) to base 9.
-7
What is 63 (base 7) in base 5?
140
What is 2 (base 4) in base 9?
2
-7 (base 14) to base 7
-10
What is -4a (base 12) in base 2?
-111010
Convert 1 (base 4) to base 5.
1
7 (base 14) to base 6
11
What is -3 (base 11) in base 3?
-10
Convert 1 (base 2) to base 9.
1
What is 45 (base 6) in base 4?
131
Convert 2 (base 13) to base 2.
10
What is -2 (base 5) in base 10?
-2
21 (base 11) to base 6
35
Convert -16 (base 15) to base 11.
-1a
Convert -9 (base 10) to base 4.
-21
-4 (base 9) to base 11
-4
What is 44 (base 12) in base 6?
124
-13 (base 11) to base 10
-14
-27 (base 11) to base 12
-25
What is 41 (base 9) in base 13?
2b
Convert 310 (base 5) to base 10.
80
What is 6 (base 9) in base 3?
20
-25 (base 12) to base 2
-11101
Convert -13 (base 16) to base 3.
-201
What is -1321 (base 4) in base 8?
-171
-7 (base 11) to base 15
-7
3 (base 6) to base 3
10
3 (base 4) to base 11
3
Convert 2 (base 6) to base 3.
2
What is 1 (base 16) in base 14?
1
Convert 226 (base 8) to base 4.
2112
-16 (base 11) to base 3
-122
c (base 13) to base 2
1100
Convert 0 (base 8) t | {
"pile_set_name": "DM Mathematics"
} |
by o?
11
Suppose -3*k + 75 = 2*k. Suppose -40 = -2*o - 2*z, -o + k = o - 3*z. What is the remainder when o is divided by (-40)/(-6)*12/10?
7
Let x = -8 - -5. Let k = 2 + x. What is the remainder when (k - (-6)/3) + 43 is divided by 15?
14
Let j(r) = r**2 + 9*r + 18. Calculate the remainder when j(-16) is divided by 11.
9
Suppose -5*p + 57 = -2*p. Let s = p + 5. What is the remainder when s is divided by 9?
6
Let q(j) = -j**2 + 16*j - 7. Suppose 4*m + 0*m - 56 = 0. What is the remainder when q(m) is divided by 6?
3
Let x be 27/6 + 2/4. Let f(y) = y**2 - 3*y. What is the remainder when 1000/55 + 2/(-11) is divided by f(x)?
8
Calculate the remainder when -3*-1*2/4*4 is divided by 4.
2
Suppose -2*j + 4*q = j - 14, 3*q - 9 = -j. Let g = -5 + j. Suppose 2*a - 3 = r, 3*r - 2*a - g = -a. What is the remainder when 3 is divided by r?
0
Let n be (4 - (3 - -4))*2. Let m(i) = -i + 7. Suppose -8 = -2*l - 0*v + 4*v, -4*l + v + 30 = 0. What is the remainder when m(n) is divided by l?
5
Let y(o) = o + 4. Let d be y(0). Let j = 7 - d. Calculate the remainder when 14/4 - 3/(-6) is divided by j.
1
Let v(p) = -p**2 - 8*p - 9. Let r be v(-6). What is the remainder when 38 is divided by (-13)/r*(0 - 3)?
12
Let x be (2/3)/(4/(-18)). Let y = x + 4. What is the remainder when 1 is divided by y?
0
Let n = 35 + -30. Suppose 2*r + 3 = -3*i + 5, 4*r + i = 14. Suppose 5*u + 46 = r*k + 2*u, -n*k = -5*u - 60. Calculate the remainder when 18 is divided by k.
8
Let i = 2 + 7. Calculate the remainder when i is divided by 0 - (-1 + 6/(-3)).
0
Let h = -1 - -3. Suppose -11 = -h*y + 29. Calculate the remainder when 58 is divided by y.
18
Calculate the remainder when (66/(-4))/((-5)/10) is divided by 18.
15
What is the remainder when (-153)/(-15) - (-20)/25 is divided by 7?
4
Let x(v) = v**2 + 10*v + 10. Let t be x(-9). Suppose o - 7 - t = 0. Let i = -13 + 27. What is the remainder when i is divided by o?
6
Let w(q) = -q**2 - 7*q - 3. Let r(h) = h**3 - h - 6. Let j be r(0). Calculate the remainder when ((-8)/10)/(1/(-10)) is divided by w(j).
2
Suppose 12*x + 24 - 84 = 0. Calculate the remainder when x is divided by 3.
2
Suppose 0 = -s - 3*k + 16, 5 = -2*s + 4*k + 27. Calculate the remainder when 51 is divided by s.
12
Let l(n) be the third derivative of -n**4/6 - n**3/2 + 4*n**2. Let i = 2 + -4. Calculate the remainder when 14 is divided by l(i).
4
Suppose -5*m + 99 = -3*m - 5*j, -4*m + 184 = 4*j. Suppose -3*d = -k - 77, -4*d + 2*k = -9*d + 121. What is the remainder when m is divided by d?
22
What is the remainder when 94 - (-5 + 3 + 4) is divided by 24?
20
Suppose 0 = 3*l - l + 5*m - 18, 3*m = 3*l - 48. Calculate the remainder when 53 is divided by l.
11
Suppose -35 = 3*y - 8*y. Let i(u) = -6*u**2 + 1. Let r be i(-1). Let b(l) = -l**2 - 8*l - 3. Calculate the remainder when b(r) is divided by y.
5
Calculate the remainder when 29 is divided by (-11)/(-1) + -4 + 1.
5
Let b = 11 + -7. Suppose b*g - 3*g - 4 = 0. What is the remainder when 11 is divided by g?
3
Suppose 15 = 5*b, 2*j = 4*b - 51 + 137. Calculate the remainder when j is divided by 29.
20
Let b(z) = z + 10. Let i = 0 - 0. Suppose 5*d - 16 = 4*o, 3*o + 0 = d - 1. Calculate the remainder when b(i) is divided by d.
2
Suppose 5 = b, -3*b = 2*l - 4*b - 3. Suppose 3*g + 0*g - 77 = l*h, 0 = -3*g + h + 62. What is the remainder when 73 is divided by g?
16
Let x(s) = s**3 + 8*s**2 - 4. Let y be x(-8). What is the remainder when (6/y)/(9/(-204)) is divided by 18?
16
Suppose -p + 120 = 7*p. Calculate the remainder when 28 is divided by p.
13
What is the remainder when 33 is divided by 18/3*3/2?
6
Let v = 18 + 11. Suppose -4*x + 1 = 5, 3*x - 37 = -5*w. What is the remainder when v is divided by w?
5
Suppose -q = -4*q + 15. Suppose -5*b = 2*n - 52, -q = -b - 0*b + 5*n. What is the remainder when (-1)/2 - 590/(-20) is divided by b?
9
Let b = 31 + -1. Calculate the remainder when b is divided by 7.
2
Let b(v) = v**3 - 8*v**2 + v + 2. Let z(t) = t - 5 - 15*t + 2*t - 1 - t**2. What is the remainder when z(-7) is divided by b(8)?
9
Let w = 166 + -150. Calculate the remainder when 110 is divided by w.
14
Let k = -67 + 109. What is the remainder when k is divided by 22?
20
Let b = 179 - 116. Calculate the remainder when b is divided by 2*2*-1*-4.
15
Suppose -2*w - 5*u + 53 = 0, 2*w + 0*w - 43 = -3*u. Calculate the remainder when 54 is divided by w.
12
Let a = -76 - -79. Calculate the remainder when a is divided by ((-6)/4)/((-6)/8).
1
Suppose -g + 47 = 12. Calculate the remainder when g is divided by 9.
8
Suppose -9*i + 126 = -6*i. What is the remainder when i is divided by 22?
20
What is the remainder when 142 is divided by (-6)/((-1)/18*3)?
34
Let u(m) = -m + 5. Let d = 5 - 9. Suppose 275 = -j + 12*j. Calculate the remainder when j is divided by u(d).
7
Calculate the remainder when 36 is divided by 1 - 2 - 80/(-4).
17
Suppose -a - 16 = -4*j, -5*j + 2*a = 3*a - 11. Let b = j + 6. What is the remainder when 17 is divided by b?
8
Suppose 4*d - 30 = 5*o, o + 2 = d - 5. Calculate the remainder when 9 is divided by d.
4
Let w(l) = -8*l - 1. Calculate the remainder when 33 is divided by w(-1).
5
Let v = 226 - 161. Calculate the remainder when v is divided by 17.
14
Let a be 4/6 - (-1)/3. Let w = 3 - a. What is the remainder when w is divided by 1?
0
Suppose -3*f + 1 + 11 = 0. Suppose 4*a + 4*k = 64, -7*k = f*a - 2*k - 62. Calculate the remainder when a is divided by 10.
8
Suppose -3*u = -2*u - 35. Let s(z) = 2*z - 5. Calculate the remainder when u is divided by s(7).
8
Let y(c) = 36*c. Suppose -2*b = -12 + 8. What is the remainder when y(b) is divided by 25?
22
Suppose 0*g + 142 = -2*f + 4*g, 0 = -3*f - 2*g - 197. Let c = 111 + f. Suppose z + c = 5*z. Calculate the remainder when 32 is divided by z.
10
Let w = 163 + -92. What is the remainder when w is divided by 11?
5
Let w = -8 - 1. What is the remainder when 22 is divided by (18/7)/(w/(-42))?
10
Let v(k) = k**2 + k - 2. Let t be v(-6). Suppose -t = -0*z - z. Let d = -8 - -18. What is the remainder when z is divided by d?
8
Suppose 5*f + 4*k - 746 = 0, -5*f + 0*f - 3*k = -742. What is the remainder when f is divided by 30?
26
Suppose -2*z = -h - 48, -3*z + 134 = 2*z + h. Let k = z - 3. Calculate the remainder when k is divided by 6.
5
Let v(f) = f**3 + 9*f**2 - 2*f + 6. Calculate the remainder when v(-7) is divided by 30.
28
Suppose 3*n + 138 = 5*n - 4*w, 2*w + 4 = 0. Calculate the remainder when n is divided by 34.
31
Suppose w + 13 = 3*z, 3*w + 4*z - 13 = -0*z. Let q = w - -8. Calculate the remainder when 19 is divided by q.
5
Suppose 0 = -3*i + 2*o + 20, -2*i - 3*i + o + 38 = 0. Suppose -q + i = q. What is the remainder when 11 is divided by q?
3
Suppose 24 = z - 4*l - 26, 5*l = -20. What is the remainder when z is divided by 5?
4
Let x(l) = l**2 - 2*l - 3. Let m be x(3). Suppose 3*j = j - 4. Calculate the remainder when m - -35 - j/(-2) is divided by 12.
10
Let h = 20 + 6. Let x = 27 - 9. Let t = 32 - x. Calculate the remainder when h is divided by t.
12
Let d(p) = 7*p + 2. Calculate the remainder when d(3) is divided by 13.
10
Suppose 4*l = -5*s + 53, -s + 3 = -l - 2*l. Let g(z) = -z - 6. Let x be g(-8). Suppose 7*m = x*m + 25. What is the remainder when s is divided by m?
4
Let a(z) = -z + 27. Let d(x) = -x**2 + 7*x + 8. Let f be d(7). Let s = -8 + f. Calculate the remainder when a(s) is divided by 14.
13
Let s(r) be the second derivative of -r**4/12 + 5*r**3/3 - 6*r**2 + r. Let n = -5 - -11. What is the remainder when n is divided by s(8)?
2
Let a(c) be the first derivative of -2*c**2 - 4*c - 3. Calculate the remainder when 23 is divided by a(-3).
7
Let d(a) = a**3 + 7*a**2 + 2*a + 1. Let z be d(-3). Suppose 4*t + p - 4*p = z, -p = 1. What is the remainder when t is divided by 4?
3
Let b = -109 - -181. Let q = -27 + b. What is the remainder when q is divided by 12?
9
Let q = -3 - -9. Suppose 5*a - 170 = -z + q*z, -4*a = 2*z - 130. Suppose 16 = -4*y + 64. Calculate the remainder when a is divided by y.
9
Suppose -35 + 203 = 14*a. Calculate the remainder when a is divided by 6.
0
Let c(v) = 2*v**2 - 10*v + 19. Calculate the remainder when c(8) is divided by 17.
16
Suppose 204 = 19*g - 81. What is the remainder when g is divided by 11?
4
Suppose 838 = 15*h + 313. What is the remainder w | {
"pile_set_name": "DM Mathematics"
} |
224*sqrt(19)
Simplify (((1 + sqrt(175) - sqrt(7)) + 0)*5)**2 - (3*sqrt(2268)*1)**2.
-17587 + 200*sqrt(7)
Simplify (-1 + -5*(-5 + (sqrt(2) - sqrt(450)) + 2) + -5 + 4 + -2)**2.
1540*sqrt(2) + 9921
Simplify (sqrt(2673)*1 - (sqrt(4752) - -2*sqrt(4752)))/((sqrt(99) - (sqrt(99) - sqrt(99)*-2)) + sqrt(396) + (sqrt(396) - -1*sqrt(396))).
-9*sqrt(3)/4
Simplify (((-2 + sqrt(19) - sqrt(19))**2*2 - (sqrt(19) + -3*sqrt(2736))) + -5*(-2 + sqrt(171))**2*4 + 3)*-1.
-275*sqrt(19) + 3489
Simplify (-1*-2*sqrt(5324) + 2*-2*sqrt(5324))**2*-2*-5.
212960
Simplify (2 + sqrt(343) + (1 + 2 + sqrt(343) - sqrt(343)) - ((sqrt(84)/(sqrt(48)/sqrt(4)))**2 + -2)*-2) + -4.
11 + 7*sqrt(7)
Simplify -2 + ((0 + sqrt(833)*1 - (sqrt(833) - (4 + sqrt(833) + -2)))**2 - -2*2*sqrt(833)*5).
168*sqrt(17) + 835
Simplify (-5*(0 + sqrt(68) - sqrt(68))**2*-5 - ((sqrt(68)/sqrt(4) + 2)**2 - (-2*sqrt(119))/sqrt(7))*3) + 5.
-18*sqrt(17) - 58
Simplify (2*-1*sqrt(156) - (-3*sqrt(156) + sqrt(156))*-5)/(-4*1*sqrt(36)/sqrt(3)*5).
3*sqrt(13)/5
Simplify (sqrt(400)*-4*4*3)/(sqrt(14)/(-1*sqrt(7)) - sqrt(4)/(sqrt(2) - sqrt(288))).
528*sqrt(2)
Simplify (((sqrt(605)*1 - sqrt(605)) + -1)*5 + -1)**2 + (4 + (3*sqrt(605) - sqrt(605)) + 0)**2*6.
1056*sqrt(5) + 14652
Simplify ((-3 + (sqrt(320)*2 - sqrt(320)) + -3 - (2 + 1*(sqrt(5) - (sqrt(45) + 0))))*-6)**2.
-5760*sqrt(5) + 20304
Simplify (((-6*(sqrt(231) + (sqrt(231)*2 - sqrt(231))))/(-3*sqrt(176)))/(-3*-2*((3*-1*sqrt(3) - sqrt(3) - sqrt(3)) + sqrt(3))))**2.
7/576
Simplify ((sqrt(90)/(sqrt(245) + sqrt(245) + sqrt(245) + (sqrt(245) - sqrt(245)*4) + sqrt(5)))/(-4*sqrt(63)/(sqrt(7) - sqrt(112))))**2.
9/8
Simplify sqrt(35)/(sqrt(847)*-1) - ((1*sqrt(2695))/sqrt(11))**2 - ((sqrt(35) + (sqrt(35) - sqrt(70)/sqrt(2)))*3 - sqrt(35))/(sqrt(35)/(sqrt(40)/sqrt(8))).
-245 - 23*sqrt(5)/11
Simplify ((-4 + 5 + -1*sqrt(243) - (0 + -5*sqrt(243)*-1))*-2*-6 + -1)**2.
-14256*sqrt(3) + 1259833
Simplify -4 + (-5*-2*sqrt(95))/(1*sqrt(720)) - (sqrt(475) + -1 + (sqrt(304) - -1*sqrt(304))**2 + sqrt(19) - (sqrt(1216) + sqrt(1216) + -1 + 3)).
-1217 + 65*sqrt(19)/6
Simplify (6*-2*sqrt(1575) - (sqrt(1575) + sqrt(1575) + (sqrt(1575) + 1*sqrt(1575) - sqrt(1575))*3))/((-3*2*sqrt(72))/(sqrt(32)*-2 - sqrt(32))).
-85*sqrt(7)
Simplify ((2*sqrt(50))/sqrt(2) - sqrt(25) - (sqrt(300) - sqrt(300)*-2)/sqrt(12))/(sqrt(45)/sqrt(225) - sqrt(10)/(sqrt(2)*-1)).
-5*sqrt(5)/3
Simplify -4*((sqrt(7) + -2)**2 + -3)*3 - (-4 + -4*(-1 + sqrt(112))**2).
16*sqrt(7) + 360
Simplify ((sqrt(133) - 1*(sqrt(133) - sqrt(133)*-2) - (1*-1*sqrt(133) + sqrt(133)))*6)/(4*sqrt(175) + (sqrt(21) - -3*sqrt(21))/sqrt(3)).
-sqrt(19)/2
Simplify -3 + 3 + (5*((sqrt(1458) + sqrt(1458) + sqrt(1458) + -2*sqrt(1458))*-4)/(sqrt(900) + (sqrt(900) - -5*sqrt(900)*-2) + sqrt(900))*1)**2.
648/49
Simplify (2*(0 + sqrt(171) + (1 + sqrt(171) + -3 - sqrt(171)) + 0 + sqrt(171) + 3)*-2)**2.
192*sqrt(19) + 10960
Simplify (sqrt(896)*2*-2*-2)/((1*sqrt(128) - (6*sqrt(128) - sqrt(8)))*-2)*-6.
-96*sqrt(7)/19
Simplify ((sqrt(17) + sqrt(68)/sqrt(4) + 5 + (sqrt(17) + sqrt(51)/sqrt(3))*-1)**2 - (-2*sqrt(85)*-3)/((sqrt(50)/sqrt(5))/sqrt(2))) + -4.
-6*sqrt(17) + 21
Simplify 3 + 5 + ((sqrt(684) - (sqrt(684) + -5 + sqrt(684) + sqrt(684) + 0 + sqrt(684) - sqrt(684))) + -5 + 0 + sqrt(684) - (-5 + 0 + sqrt(684)*2))**2.
-180*sqrt(19) + 6189
Simplify ((sqrt(156) + -3*sqrt(156) - sqrt(156))*4 + 3*sqrt(156)*2 + sqrt(156))/((((-1*sqrt(120) - sqrt(120)) + sqrt(120))/sqrt(5))/(-1*sqrt(162) - sqrt(2))).
-50*sqrt(13)
Simplify (6*(sqrt(1331) - (-2*sqrt(1331) + 3))*-2)**2 - ((sqrt(396)*-1*-2)**2 - (sqrt(396) + 4*(sqrt(396) - (0 + sqrt(396)))**2)).
-28506*sqrt(11) + 1724688
Simplify -5*(-3 + 4*((sqrt(3) - (-2*sqrt(192) + sqrt(192) + sqrt(192))**2) + (sqrt(363)*1 + sqrt(363))**2 + sqrt(3)))*-4*4 + 1.
640*sqrt(3) + 464401
Simplify 4 + (5*sqrt(200) - sqrt(4)/(sqrt(14)/sqrt(7)) - (-5 + sqrt(648) + 0)**2).
-669 + 229*sqrt(2)
Simplify ((sqrt(77)*-3*-1)/(sqrt(22)/(sqrt(2)*-1)) + sqrt(84)/(sqrt(12) - (-1*sqrt(144) - sqrt(144))/sqrt(12)) + 1*-1*1*sqrt(7))**2.
847/9
Simplify (1 + 6*((-2*3*sqrt(300))**2 + sqrt(300)))*-6*6.
-2332836 - 2160*sqrt(3)
Simplify ((2*sqrt(468)*-6 + sqrt(468))*1 + sqrt(91)/sqrt(7) + 0 + sqrt(624)/sqrt(3))**2.
48373
Simplify (sqrt(539)*-4 + -4 + 2*(3 + sqrt(539)) - 1*(2 + 0 + 0 + sqrt(539)))**2.
4851
Simplify (((3 + 0 + sqrt(200) + -4*1*sqrt(200))*4 + (3*(sqrt(200) + sqrt(200) + 0) - 1*(1 + sqrt(200))))*5)**2.
-38500*sqrt(2) + 248025
Simplify ((1*(sqrt(612) + sqrt(612) + sqrt(612)*2) - sqrt(612) - (sqrt(612) + 1 + -4))*-3 + (3 + 3*(sqrt(612) + 1)*-2)*-6)**2.
3240*sqrt(17) + 550881
Simplify ((sqrt(90)*1*4)/(sqrt(54)/sqrt(2)))/((-3*(sqrt(18) - (sqrt(72) + sqrt(18) + sqrt(18)) - sqrt(18)))/(sqrt(3) + sqrt(3) + sqrt(3)*2*2)).
2*sqrt(5)/3
Simplify (5*(1 + sqrt(2448)))**2 - ((-1*sqrt(2448) - sqrt(2448)) + -3) - (-3*-1*sqrt(2448) + (sqrt(2448)*1*4 - sqrt(2448))).
552*sqrt(17) + 61228
Simplify (-6*-2*sqrt(170)*1*-3)/((sqrt(80) - 2*sqrt(80))/sqrt(8) - (1*sqrt(10) + sqrt(10))*-5).
-4*sqrt(17)
Simplify 4*((-2 + sqrt(1300) + sqrt(1300) + -3*sqrt(1300) + -3 + sqrt(1300) + 3*sqrt(1300)*-3)**2 + -4).
3600*sqrt(13) + 421284
Simplify (((sqrt(297) + 1*sqrt(297)*-6)/sqrt(11))/(sqrt(144)*5 + ((sqrt(9) + sqrt(81))*6 - sqrt(9))))**2 + -4.
-7321/1849
Simplify ((1*sqrt(416)*1*2)/((sqrt(64)/(sqrt(8)*-2))/(sqrt(128)/sqrt(2) + sqrt(4))))**2.
83200
Simplify ((((sqrt(252) + sqrt(252)*1)*-4 + (sqrt(252) - sqrt(252)*1) + 2 - 5*(-5 + -1*sqrt(567))) + 0)*2)**2.
-648*sqrt(7) + 3168
Simplify ((sqrt(300)*-3 - sqrt(300)) + -5 - (-3*sqrt(300) + -2))**2 - (-5 + (2*(sqrt(300)*2 + 4))**2).
-4550 - 580*sqrt(3)
Simplify 3*(0 + (0 + sqrt(3) + 2 - (1*sqrt(3))**2*-4)) - ((sqrt(15)/sqrt(80) - (-1 + sqrt(48)))**2 + ((5*sqrt(108)*-2)**2 - sqrt(108))).
-172819/16 + 33*sqrt(3)/2
Simplify ((-1 + 2 + sqrt(720))**2 + ((-1 + sqrt(720))*1 - sqrt(720))**2)*-1 + (-5 + sqrt(720) + (((5*sqrt(720) - sqrt(720)) + sqrt(720))**2 + 5 - sqrt(720)))*2.
-24*sqrt(5) + 35278
Simplify -5*(-1 + (sqrt(1584) - (2 + sqrt(1584)*2) - 2*(-2 + sqrt(1584))))*-1.
-180*sqrt(11) + 5
Simplify (-4*-4*((sqrt(12)/(sqrt(6)*-2) - sqrt(2)) + 3 - sqrt(24)/(-4*sqrt(60)/sqrt(5))))**2.
-1920*sqrt(2) + 3104
Simplify (-2 + (sqrt(8) + (sqrt(8) - (sqrt(8) + -2 + -2)**2 - sqrt(8) - sqrt(8)))*-2*1*-2)*-1.
-64*sqrt(2) + 98
Simplify 6*sqrt(21)/(sqrt(7) + sqrt(112))*2 + 5 + -2*(sqrt(192) + 1 + sqrt(192) + -3)**2*1.
-1539 + 652*sqrt(3)/5
Simplify (6*((2*sqrt(228) - sqrt(228)) + sqrt(57)))/((sqrt(2100) + sqrt(2100) + -2*sqrt(2100) + sqrt(2100))/sqrt(7)).
9*sqrt(19)/5
Simplify (0 + sqrt(612)*-1 + -5 - ((sqrt(153)/sqrt(9) - sqrt(17))*1 - (4*sqrt(833) - sqrt(17))))**2.
-210*sqrt(17) + 7522
Simplify (-5*sqrt(90)/sqrt(2))/(sqrt(108)/sqrt(3)) + (0 + sqrt(1125) - (-3 + -1*sqrt(45) + sqrt(45) + sqrt(45))).
3 + 19*sqrt(5)/2
Simplify (0 + (sqrt(171)*2*2 - (sqrt(171) - sqrt(171)*-1*-3)))**2 + -4 + ((sqrt(2736)*-2 - sqrt(2736)) + -1)**2*-4.
-92348 - 288*sqrt(19)
Simplify (((sqrt(119) - (sqrt(119) + 1*(sqrt(119)*-1 - sqrt(119))))/(sqrt(112)*-1 - sqrt(112)))**2 - ((sqrt(136)*3)/sqrt(8) + (-1*sqrt(51))/sqrt(3)))*4.
-8*sqrt(17) + 17/4
Simplify ((sqrt(1836) - (-3*sqrt(1836) + sqrt(1836))) + sqrt(1836) - sqrt(459)/(sqrt(9) + sqrt(81)/sqrt(9)))/(4*sqrt(9)/sqrt(3) - sqrt(12)/sqrt(144)).
141*sqrt(17)/23
Simplify (-3*(-5 + -4*sqrt(72)*-1 + 1*(sqrt(72) + 1)*-6))**2.
2376*sqrt(2) + 3681
Simplify -4 + (3*((sqrt(19) - (sqrt(76)/sqrt(4))**2*2) + 4) - ((sqrt(152)*3)/sqrt(8) - (sqrt(19) - (-3*sqrt(171) + sqrt(19))))).
-106 + 9*sqrt(19)
Simplify (((sqrt(162) + 0)*1 - (-4 + sqrt(162) + 0 - sqrt(162))) + 2)**2 + -3*sqrt(162)*3 + (sqrt(162) - (-3 + sqrt(162))) + 3.
27*sqrt(2) + 204
Simplify -3*(1*3*(2 + (sqrt(192) - 2*sqrt(192)))*-5*5 + -2)**2.
-3309312 + 547200*sqrt(3)
Simplify ((sqrt(70)/sqrt(2) - sqrt(35))*5 + sqrt(350)/(1*sqrt(10)))/(sqrt(40)/((sqrt(144)/sqrt(6))/sqrt(3))*-1).
-sqrt(7)
Simplify -1 + (-2 + (sqrt(5324) - sqrt(5324)*4) + 2*(sqrt(5324) + 4*sqrt(5324)))*5.
-11 + 770*sqrt(11)
Simplify 5*((sqrt(726)*1 + sqrt(726) + (-1*sqrt(600) - sqrt(6)))/(sqrt(300)*5) + -1)**2.
-11*sqrt(2)/5 + 1371/250
Simplify 5 + -4 + 1 + sqrt(66)/sqrt(6) - (5 + (-2 + sqrt(176))*5)**2.
-4423 + 201*sqrt(11)
Simplify (-3 + 3 + ((1*(-3*sqrt(66) + sqrt(66)))/sqrt(3))/(sqrt(10)/(sqrt(30)/sqrt(6)) + sqrt(10)/sqrt(5)*2))**2.
| {
"pile_set_name": "DM Mathematics"
} |
1 - -2*(3*(2 + 0 + sqrt(208)))**2)*6.
2016*sqrt(13) + 19086
Simplify -3*(sqrt(280)/(1*sqrt(63)))/(-4*-5*sqrt(8)*-2) + 3.
sqrt(5)/40 + 3
Simplify (3*(sqrt(170) - (sqrt(170) - (sqrt(170)*1*4 - sqrt(170))) - sqrt(170))*4)/((sqrt(10)*2*-4 + sqrt(10) + sqrt(640) + 1*sqrt(640))*-5).
-8*sqrt(17)/15
Simplify (-6*(3*(1 + 1 + sqrt(275)) + -4 + 3 + sqrt(275)*-2)*-2)**2.
7200*sqrt(11) + 43200
Simplify sqrt(108)*-2*-2 + 2*sqrt(108) + 3 + (sqrt(36) + sqrt(36) + sqrt(432)/sqrt(108) + sqrt(36))/(sqrt(192)*2).
3 + 437*sqrt(3)/12
Simplify ((sqrt(51) + 3*sqrt(204))/(-6*sqrt(6)/sqrt(2))*-5 - (sqrt(187)/(sqrt(33)/sqrt(12)) - (sqrt(1377)*-1 + -1)))**2.
31*sqrt(17)/3 + 16373/36
Simplify 3*(0 + -1*(3*(sqrt(320) + 1) + (((-3 + sqrt(320))*6 - sqrt(320)) + sqrt(320))**2)).
-35541 + 5112*sqrt(5)
Simplify sqrt(76) + 3*sqrt(76) + -2 + 4 - ((sqrt(133)*-2*-1)/(sqrt(42)/sqrt(96)))**2.
-1214 + 8*sqrt(19)
Simplify (sqrt(1920)*-2)/(4*sqrt(216)) - ((5*(sqrt(20) + -1) - sqrt(20) - (sqrt(20) - (sqrt(720) + -1 + sqrt(720)))) + 3).
-92*sqrt(5)/3 + 3
Simplify (sqrt(980) + sqrt(980) + 2*sqrt(980) - sqrt(1280)*1)/((sqrt(40) + -4*-5*sqrt(40))/sqrt(10)).
20*sqrt(5)/21
Simplify ((sqrt(231) + (sqrt(231) + (1*sqrt(231) - sqrt(231)) + sqrt(231))*-1)/(sqrt(700) + sqrt(700)*1 + sqrt(700) - sqrt(7)))/((6*-2*sqrt(30))/sqrt(10)*-1).
-sqrt(11)/348
Simplify (sqrt(528)/sqrt(3) - (-1 + sqrt(33)/sqrt(3)))*6 - -2*(2*(1 + -2*sqrt(11) - (sqrt(11) - (sqrt(275) + 1))))**2.
82*sqrt(11) + 390
Simplify ((3*((sqrt(1008) + 2 + -4)*1 + 0)*-4 + 0)*4)**2.
-110592*sqrt(7) + 2331648
Simplify (-1 + (-1 + 0 + -2*(sqrt(180) - (sqrt(180) - (-2*sqrt(180) - sqrt(180)))*-5))*-1*-6)**2.
21168*sqrt(5) + 11430769
Simplify (sqrt(3)*-1*-5 - sqrt(3)) + sqrt(363) + 2 + -3*sqrt(21)/sqrt(7) + (sqrt(12)*3)**2.
12*sqrt(3) + 110
Simplify -1 + -4*-4*(4 + (sqrt(880)/sqrt(11) + sqrt(5) - sqrt(320)*1) + 3).
-48*sqrt(5) + 111
Simplify (4 + -3 + -1 + sqrt(17) + sqrt(2448) + -3 + (sqrt(17) + ((sqrt(136)*-1 - sqrt(136)) + sqrt(136))/sqrt(8))*-5 + 2)**2*-5.
-14370 + 130*sqrt(17)
Simplify (0 + 1*sqrt(539) + -4 + (-1 + sqrt(539) + -2 - sqrt(539)) + -5)**2.
-168*sqrt(11) + 683
Simplify 0 + ((2 + sqrt(22)/(sqrt(11)*-1*-3))**2 - (sqrt(192)/(sqrt(6) + 3*sqrt(12)/sqrt(2)))**2).
4*sqrt(2)/3 + 20/9
Simplify 5 + -3*((sqrt(300) - (-4 + -3*sqrt(300))) + (sqrt(300) - (3 + sqrt(300) + 1)))**2*2.
-28795
Simplify ((5*(sqrt(85)*2*2 - ((sqrt(85) - 2*2*sqrt(85)) + sqrt(85))))/(sqrt(10)/(sqrt(72) + sqrt(2)) + sqrt(5) + sqrt(55)/(sqrt(33)/sqrt(3))))**2.
3332
Simplify (3 + 4*(1 + sqrt(162)*1 + 0)*1)**2*-5.
-13205 - 2520*sqrt(2)
Simplify ((-4*sqrt(120))/sqrt(6) - sqrt(20))/(3*sqrt(4)*3) - ((4 + sqrt(80)*2 - sqrt(80))**2 + (-3*((sqrt(405) - (1 + sqrt(405) + sqrt(405))) + sqrt(405)))**2).
-105 - 293*sqrt(5)/9
Simplify ((1 + sqrt(567) + -1)**2*-2 - (2 + sqrt(28)/(2*sqrt(484) + sqrt(4))))*6.
-6816 - 6*sqrt(7)/23
Simplify (4*-4*(sqrt(180) + 4 + 1 + sqrt(160)/sqrt(648)))**2.
143360*sqrt(5)/9 + 4532480/81
Simplify 5*(6*(-1 + (sqrt(396) + 2*sqrt(396) - sqrt(396)))**2 + -5 + (sqrt(176) + -1)**2 + sqrt(176) + 3)*-3.
-145275 + 2220*sqrt(11)
Simplify (((-1*sqrt(120))/sqrt(4) - sqrt(30) - (1*sqrt(210))/sqrt(7))/(3*sqrt(80)/(sqrt(72)/(sqrt(9)*1))))**2.
3
Simplify (sqrt(350)/(sqrt(20)/(-3*sqrt(2))))/((sqrt(5) - (sqrt(5) + (sqrt(5) - (sqrt(405) + -1*sqrt(405))))) + sqrt(5) + (sqrt(60) + sqrt(15))/sqrt(3))*6.
-6*sqrt(7)
Simplify (-1 + (1*sqrt(448)*-1 - sqrt(448)) + -4*sqrt(448)*2 + sqrt(448) + -1 + -1)**2 + 3.
432*sqrt(7) + 36300
Simplify (sqrt(612) - (sqrt(612) + 2)*3 - (-1 + sqrt(612) + -2) - ((-6*3*sqrt(612))**2 + -5)) + -2.
-198288 - 18*sqrt(17)
Simplify (-5*(4 + sqrt(68)) - (sqrt(68) - 3*(sqrt(68) + 4)))**2 - (-1 + sqrt(68) + 3 + -5)**2*-4.
48*sqrt(17) + 984
Simplify (5 + -2*sqrt(2448) + -2 - (sqrt(2448) + -2 + 3 + -1))**2*-2.
-44082 + 432*sqrt(17)
Simplify (-2 + sqrt(637) + 2 + -5 - (sqrt(13) + -4*(sqrt(13)*-2 + sqrt(13)) - (sqrt(13) + -3)*2)) + -5.
-16 + 4*sqrt(13)
Simplify ((1 + (sqrt(7) + 0 + 4*sqrt(7) - sqrt(7)))*-3)**2 + -1*sqrt(112)*-5*6.
192*sqrt(7) + 1017
Simplify (((sqrt(833)*4*-4 + sqrt(833) + 3 + sqrt(833) + 3 + sqrt(833) + sqrt(833))*6*6 + -3)*1)**2.
-1288224*sqrt(17) + 155503161
Simplify (-3*(-2 + sqrt(128) + 5 + 5) - (sqrt(2) + (sqrt(10)*-1)/sqrt(5) + (sqrt(4)/sqrt(2) - sqrt(2)) + 2 - sqrt(18)/(sqrt(576) + 2*sqrt(576))))**2.
7475*sqrt(2)/6 + 525313/288
Simplify -1 + (2 + (-1 + sqrt(448))*6 + (5 + (sqrt(448)*2)**2 - sqrt(448)))*-2.
-3587 - 80*sqrt(7)
Simplify (-2 + -5*(sqrt(11) + sqrt(66)/sqrt(6))*1 - (sqrt(88)*-1*-5)/(-5*(sqrt(24)/sqrt(3) + sqrt(8))))**2.
38*sqrt(11) + 3987/4
Simplify 5 + (sqrt(5184) - -1*sqrt(5184))/(sqrt(12) + (sqrt(1728) - sqrt(12))) + -4 + -3.
-2 + 2*sqrt(3)
Simplify (-1 + -1*(-1 + (-2*(5 + 1 + sqrt(2057)) - 2*((sqrt(2057) - ((sqrt(2057) + 0)*3 + sqrt(2057))) + sqrt(2057)))))**2.
-528*sqrt(17) + 8372
Simplify (sqrt(1377)*-2 + -3)**2 - -2*(sqrt(1377) + 0 - sqrt(1377))**2 - (-4*-3*(4 + sqrt(1377) + -1))**2.
-194067 - 7668*sqrt(17)
Simplify (2*sqrt(228)*4)/(sqrt(48)*5) + ((1*sqrt(475) - sqrt(475)) + -2 + sqrt(475) + (sqrt(19)*1 + 1 - (sqrt(2736) + 0)))**2.
64*sqrt(19)/5 + 685
Simplify (-5 + sqrt(147) + 3*sqrt(147) + sqrt(147) + -4 - (-3*-2*sqrt(147) + sqrt(147)*1 + 1)**2) + 4.
-7209 - 63*sqrt(3)
Simplify 0 + (-4 + ((sqrt(77) + -5*(sqrt(77) + (2*sqrt(77) - sqrt(77)) + sqrt(77)))/sqrt(7) - ((sqrt(275) - (sqrt(275) + -3)) + sqrt(275) + 0)))**2.
266*sqrt(11) + 4020
Simplify (-1*((sqrt(143) - (sqrt(143)*1 - sqrt(143)))*1 + -1*sqrt(143)*5))/((-2*sqrt(1331)*2 - sqrt(1331))*-3).
4*sqrt(13)/165
Simplify ((sqrt(170) - 4*sqrt(170))*-2)/(-1*sqrt(10)*-3) + 2*(sqrt(833) + -3) + (sqrt(833) + 1)*-5.
-19*sqrt(17) - 11
Simplify (((sqrt(1728)*3 + sqrt(1728) - sqrt(1728)) + sqrt(1728))/(sqrt(900)*3 + sqrt(900) - sqrt(900)) + 1*sqrt(432)*4*3)**2.
4734976/75
Simplify (sqrt(12)/((sqrt(2) - sqrt(18)) + sqrt(2)))/(sqrt(12)/sqrt(100)) + (3 + sqrt(2)*-3)**2 + 4 + 1*sqrt(2).
-22*sqrt(2) + 31
Simplify 2 + (-3 + 4 + sqrt(34)/sqrt(2) - ((sqrt(612) + -1 - sqrt(612)) + -2))*-2.
-2*sqrt(17) - 6
Simplify ((((6*(sqrt(78) - -2*sqrt(78)))/(sqrt(726) + sqrt(726)*2 + sqrt(726)))**2 - (-1 + 1*2*(-1 + sqrt(13)))) + -1)*3.
-6*sqrt(13) + 6063/484
Simplify ((5*3*(1 + sqrt(162) + 2))**2 - (-2*(sqrt(162) + (sqrt(162) + sqrt(162) + 1)**2 + sqrt(162) + sqrt(162)) + -2)*-2) + -5.
11898*sqrt(2) + 35870
Simplify (2*(sqrt(95) + (sqrt(95)*-3 - sqrt(95))*5 - sqrt(95))*5)/(sqrt(2880) + (3*sqrt(2880) + sqrt(2880))*-3).
25*sqrt(19)/33
Simplify ((-4 + (1*(sqrt(210)/sqrt(6) - sqrt(35))*-2)/(sqrt(70)/(5*2*sqrt(10))))*-6)**2 + 0.
576
Simplify (sqrt(4032)*2)**2 + 0 + 1 - -5*((sqrt(308) + (sqrt(308) - 1*sqrt(308)))*-1)/sqrt(11).
-10*sqrt(7) + 16129
Simplify (-4 + ((4*(sqrt(102) + 1*sqrt(102) + sqrt(102)))/(sqrt(6) - -3*sqrt(150)) + -5)*-4)**2.
-96*sqrt(17) + 409
Simplify (3 + sqrt(50) - (sqrt(98) + 4)) + -5*(sqrt(88) + sqrt(88) + -1*sqrt(88))/sqrt(11).
-12*sqrt(2) - 1
Simplify 6*((sqrt(162)/sqrt(6) - sqrt(48)*-5) + -5 + 3*(sqrt(1728) + 2))*-1.
-570*sqrt(3) - 6
Simplify ((sqrt(672)*-1)/(sqrt(162)*1 - sqrt(2)))/((sqrt(210)/(sqrt(10) - (sqrt(10) - sqrt(40))))/((sqrt(7) + sqrt(28))*-6)).
18*sqrt(7)
Simplify (((sqrt(65) - -2*(sqrt(65) - sqrt(65)*1)) + sqrt(65) + 4*(sqrt(65) + -2*sqrt(65)))/(2*sqrt(405)*2))**2.
13/324
Simplify (sqrt(539) - (-2 + 0 + sqrt(539))**2) + -4 + -2 + 1 + (sqrt(539)*3*-3*-4)**2.
35*sqrt(11) + 697996
Simplify 2 + ((sqrt(234)/(sqrt(12)/sqrt(2)))/(sqrt(3) - sqrt(192)) - (sqrt(143) - -2*(sqrt(143)*-2 - sqrt(143)))/(sqrt(121)/(sqrt(44)/sqrt(4)))).
2 + 34*sqrt(13)/7
Simplify (5 + -5 + 2*sqrt(343) + ((5*-1*sqrt(343) - sqrt(343)) + sqrt(343) - sqrt(343)) + (sqrt(343) - sqrt(343)*2) + -4 + 4 + sqrt(343) + 0)**2.
5488
Simplify (-4*-6*(sqrt(7) + 0 + sqrt(7)) + -6*(sqrt(21)/sqrt(3))**2*3)*-4 + -4 + 3.
-192*sqrt(7) + 503
Simplify -3 + (sqrt(450) + (sqrt(450) - (sqrt(450) + -2)) + 2)**2 + (2*(4 + 2*sqrt(72) + -2))**2.
312*sqrt(2) + 1631
Simplify -3*(sqrt(17) + (-1*sqrt(17))**2*-3 + (-5 + sqrt(153))**2 + ((sqrt(85)*3)/sqrt(5) - (0 + sqrt(1377)))).
-381 + 105*sqrt(17)
Simplify 5*(-4 + (4 + sqrt(405) + 3 + 1 - ((2 + sqrt(405))*-2 - sqrt(405))*-4))**2.
11880*sqrt(5) + 245745
Simplify ((-3*sqrt(1100))**2 + -3)*-2 + (2 + (sqrt(1584) - 2*sqrt(1584))**2 - sqrt(1584)) + 2*(-1 + sqrt(1584)).
-18210 + 12*sqrt( | {
"pile_set_name": "DM Mathematics"
} |
64*g**4 + 6 - 1/480*g**5. Factor w(v).
-(v - 2)*(v + 5)/8
Let d(u) be the second derivative of -u**4/8 - 61*u**3/4 + 495*u**2/2 + 1490*u. Determine c, given that d(c) = 0.
-66, 5
Let i(x) = -8*x + 155. Let d be i(18). Let n be (-7 + 20 - d) + (1 - 1). Factor 1/3*y**4 + 4*y**3 - 12 + 35/3*y**n - 4*y.
(y - 1)*(y + 1)*(y + 6)**2/3
Let s(l) = -l**2 + 13*l + 32. Suppose -2*a = a - 45. Let f be s(a). Factor 9 - q**f - 4*q + 19 - 41 + 18.
-(q - 1)*(q + 5)
Let g(x) be the second derivative of -x**6/6 - 49*x**5/2 - 120*x**4 - 715*x**3/3 - 475*x**2/2 + x + 11. Solve g(u) = 0 for u.
-95, -1
Suppose 0*s - 4*n - 19 = -s, -4*s + 4 = 2*n. Suppose -49*g**s + 5*g**4 + 368*g**2 + 810 - 145*g**2 + 154*g**3 + 1395*g + 462*g**2 = 0. What is g?
-9, -2, -1
What is a in 332/3*a + 224 - 2/3*a**2 = 0?
-2, 168
Suppose -22/7*y**2 - 38/21*y + 68/21 + 38/21*y**3 - 2/21*y**4 = 0. What is y?
-1, 1, 2, 17
Let o(m) be the first derivative of 68 + 0*m + 9/2*m**2 + 1/16*m**4 - m**3. Find g such that o(g) = 0.
0, 6
Let n(w) = 7*w - 173. Let j be n(27). Suppose 142*d - 134*d = j. Factor -1/3*i**3 - 4 - 16/3*i - 7/3*i**d.
-(i + 2)**2*(i + 3)/3
Suppose -5*p - 12 + 22 = 0. Factor 535*v**2 - 100 + 180*v + 568*v**2 + 2*v**3 - 1064*v**p.
(v + 10)**2*(2*v - 1)
Let h(p) be the first derivative of -15129*p**5 + 38130*p**4 - 78110*p**3/3 + 620*p**2 - 5*p + 165. Factor h(q).
-5*(q - 1)**2*(123*q - 1)**2
Suppose 5*z = -3*v + 11, v - 3 = -3*z - 2. Suppose 2*x + 8 = t, 3*t + 82 = v*t + 2*x. Factor 3*l**2 + 3*l + 3*l**3 - t*l**2 + 9*l + 0*l.
3*l*(l - 4)*(l - 1)
Let i(f) = -25*f**4 + 10*f**3 - 35*f**2 - 40*f + 30. Let z(k) = -2*k**4 - 2*k**3 - k - 1. Let o(m) = -i(m) + 10*z(m). Find d such that o(d) = 0.
-1, 1, 2, 4
Let r(j) be the third derivative of -11*j**8/84 - 26*j**7/105 + 23*j**6/40 - 2*j**5/15 - j**4/6 - j**2 - 365*j. Solve r(y) = 0 for y.
-2, -2/11, 0, 1/2
Let z = 729/1471 - -13/2942. Factor 5*k**3 - 1/2*k**2 + z*k**4 - 5*k + 0.
k*(k - 1)*(k + 1)*(k + 10)/2
Let d(f) be the first derivative of f**5/5 - 63*f**4/4 + 62*f**3/3 - 1403. Find m such that d(m) = 0.
0, 1, 62
Let c = 5098 - 5098. Let x(q) be the second derivative of 0 - 5*q + 2/3*q**3 - 1/20*q**5 + c*q**2 + 1/6*q**4 - 1/60*q**6. Factor x(n).
-n*(n - 2)*(n + 2)**2/2
Let f(k) = -12*k**2 + 20*k - 4. Let r(y) = 11*y**2 - 21*y + 3. Let w(q) = 3*f(q) + 4*r(q). Let z(m) = m**2 - m. Let c(b) = -w(b) + 6*z(b). Solve c(p) = 0.
0, 9
Suppose -13 = -i - 2*d, -3*i + 4*d + 71 = 2. Suppose -40 + i = -7*w. What is v in 0*v + 0 + 2/13*v**5 + 0*v**w - 8/13*v**4 + 0*v**2 = 0?
0, 4
Let c(j) = -j**3 + 2*j**2 + 2*j + 2. Let a(b) = -36496*b**3 - 4771*b**2 - 217*b - 13. Let y(r) = a(r) + 5*c(r). Let y(d) = 0. What is d?
-1/23
Let a(w) be the third derivative of 2*w**7/315 - 7*w**6/45 - 7*w**5/45 + 52*w**4/9 - 56*w**3/3 + 18*w**2 + 4*w - 2. Find z such that a(z) = 0.
-3, 1, 2, 14
Let s(p) be the third derivative of p**7/30 + 263*p**6/30 + 2351*p**5/60 - 1261*p**4/12 - 148*p**3 + 13*p**2 + 5*p + 2. Suppose s(r) = 0. What is r?
-148, -3, -2/7, 1
Suppose -4*r - 839 = -6*d + 11*d, -2*d - 326 = 4*r. Let j = -171 - d. Factor 1/2*b**5 + 0*b**4 + j*b - 1/2*b**3 + 0*b**2 + 0.
b**3*(b - 1)*(b + 1)/2
Let m be ((1 - 6) + (-3399)/(-515))/(14/35 - 0). Find s, given that -7/10*s**m + 3/5*s**2 - 19/10*s**3 + 0 + 0*s = 0.
-3, 0, 2/7
Let k(o) be the third derivative of o**6/420 + 9*o**5/70 + 29*o**4/21 + 44*o**3/7 + 2*o**2 + 4*o + 168. Factor k(l).
2*(l + 2)*(l + 3)*(l + 22)/7
Let h(k) be the second derivative of 19*k**5/10 - 169*k**4/6 + 134*k**3/3 + 16*k**2 - 22*k - 15. Factor h(j).
2*(j - 8)*(j - 1)*(19*j + 2)
Let x be -10*(-18)/1440 - (-15)/8. Factor 1/5*q**x - 11/5*q + 2.
(q - 10)*(q - 1)/5
Suppose 0 = 8*l - 5*l - d - 80, -l + 3*d = -16. Let b be (-24)/18*(-6)/l. Factor -b*y + 2/7*y**2 + 2/7*y**3 - 2/7.
2*(y - 1)*(y + 1)**2/7
Determine g so that 536/9 - 88/3*g - 2/9*g**2 = 0.
-134, 2
Let v(t) = 2*t**3 + 47*t**2 + 23*t + 3. Let z be v(-23). Let 1060*b + 3*b**2 - 4*b**2 - 1060*b + 17*b**2 + 4*b**z + 6*b**5 - 26*b**4 = 0. Calculate b.
-2/3, 0, 1, 4
Let u = -9765 + 9768. Solve 4/7*z**4 + 40/7*z**u + 144/7 - 240/7*z + 52/7*z**2 = 0.
-6, 1
Let -4*m**2 + 8 + 29 - 38 + 5 + 266*m - 266*m**3 = 0. What is m?
-1, -2/133, 1
Let z be ((-41)/(-4) - -2) + (-1)/4. Let u = 7 - z. Let r(w) = -9*w**3 + 5. Let h(o) = -28*o**3 + 16. Let c(a) = u*h(a) + 16*r(a). Factor c(t).
-4*t**3
Let n(p) be the third derivative of -9*p**8/56 - 121*p**7/35 - 4279*p**6/180 - 4579*p**5/90 - 362*p**4/9 - 140*p**3/9 - 1166*p**2. Find v, given that n(v) = 0.
-7, -5, -1, -2/9
Let y = -2959/4 - -740. Let t(i) be the second derivative of -1/2*i**6 + 32*i + y*i**5 + 0 - 5/3*i**3 + 5/42*i**7 + 5/4*i**4 + 0*i**2. Factor t(g).
5*g*(g - 2)*(g - 1)**2*(g + 1)
Let b = -103 - -107. Determine s so that 12*s**2 + 555 + 2*s**b + 5*s**3 - 30*s**3 - 555 = 0.
0, 1/2, 12
Suppose 364*j - 15442 - 3211 + j**2 - 28*j - 3*j**2 + 4541 = 0. What is j?
84
Let z = -54766 + 54768. Solve -2*n + 9/4*n**3 + 7/4*n**z - 7/4*n**4 + 0 - 1/4*n**5 = 0.
-8, -1, 0, 1
Let n be (3/(-12))/(90/(-180)). Factor -1/2*s**2 + n*s + 1.
-(s - 2)*(s + 1)/2
Let z = -273/34 - -2251/238. Factor z*r**2 + 4/7 + 2*r.
2*(r + 1)*(5*r + 2)/7
Let b(v) = v**3 + 4*v**2 - 12*v + 2. Let y = 58 - 64. Let j be b(y). Factor 3*n - 3*n**3 + 7*n**2 + 116 + 2*n**j - 125.
-3*(n - 3)*(n - 1)*(n + 1)
Suppose 205*y - 4865 = 212*y. Let d = y - -2089/3. Let -2/9*n**5 - 2/9*n + 4/9*n**3 - d*n**4 - 4/3 + 8/3*n**2 = 0. What is n?
-6, -1, 1
Let d be (((-1120)/364)/10)/((-180)/78). Let 4/15*g**2 - 2/15*g**3 + 0 - d*g = 0. Calculate g.
0, 1
Let k be (-1*13 - 150/(-700)*14) + 25/2. Let 10 - 24*w - k*w**2 = 0. What is w?
-10, 2/5
Let h(z) be the second derivative of -7 + 2*z - 68/3*z**3 + 578/9*z**2 + 23/36*z**4 - 1/180*z**5. Suppose h(f) = 0. What is f?
1, 34
What is r in 35*r**2 + 1125 + 371*r - 814*r**3 + 32*r + 22*r + 813*r**3 = 0?
-5, 45
Let l be 3*(480/432)/(4/6) + (-15 - -10). Determine g so that l + 34/5*g - 2/5*g**2 = 0.
0, 17
Let z(c) be the first derivative of -1/42*c**6 - 2/21*c**3 + 0*c**2 + 0*c - 4/35*c**5 - 99 - 5/28*c**4. Solve z(y) = 0.
-2, -1, 0
Factor -71733 + d**5 + 71733 + 9*d**4 - 21*d**4.
d**4*(d - 12)
Let n(y) be the second derivative of 0*y**2 - 1/3*y**3 - 1/40*y**5 + 0 + 1/6*y**4 - 11*y. Find b such that n(b) = 0.
0, 2
Let y = 252562 - 252170. Factor 56/3*o + y + 2/9*o**2.
2*(o + 42)**2/9
Let g(q) = 2*q**2 - 2. Let y(k) = 10*k - 169. Let x be y(17). Let s(o) = -7*o**2 - 84*o - 1758. Let l(a) = x*s(a) + 3*g(a). Factor l(c).
-(c + 42)**2
Let o be (-27)/15 - (-5 - -3). Let l(n) be the first derivative of 1/3*n**3 + 8 + 0*n + 1/4*n**4 - 1/2*n**2 - o*n**5. Suppose l(i) = 0. Calculate i.
-1, 0, 1
Let j = 295 - 300. Let q(c) = -c + 83. Let g be q(j). Determine b so that g*b**4 - 352/5*b**2 + 72/5 + 60*b**5 - 152/5*b**3 + 12/5*b = 0.
-1, -2/3, 3/5
Determine k, given that -14*k**4 + 4*k**5 + 648 + 1722*k**2 - 268*k**3 - 8*k**4 + 1068*k + 4*k**4 - 1092*k - 2064*k = 0.
-9, 1/2, 1, 6
Let a = 526267023/5285 - 497889/5. Let v = -4/151 - a. Solve 0 + 2/7*m**4 - 2/7*m**2 - v*m + 2/7*m**3 = 0 for m.
-1, 0, 1
Let v = -596/5 + 120. Let s = 73342 - 73339. Factor 0*c + 0*c**2 + 0 + v*c**4 + 1/5*c**s - c**5.
-c**3*(c - 1)*(5*c + 1)/5
Let b(a) be the third derivative of 7*a**5/15 + 155*a**4/3 + 176*a**3/3 - 5*a**2 - 34. Factor b(f).
4*(f + 44)*(7*f + 2)
Let l(j) be the second derivative of j**7/21 - 73*j**6/15 - 113*j**5/5 - 76*j**4/3 + 5805*j. Find m, given that l(m) = 0.
-2, -1, 0, 76
Let t be ((-5)/(-2))/(-92 + 97). Let u(p) be the first derivative of -2 - 1/2*p**2 + 0*p + t*p**3. Determine f so that u(f) = 0.
0, 2/3
Factor -1740*k + 7*k**2 + k**2 - 5*k**2 + k**2 - 7*k**2 - 252300.
-3*(k + 290)**2
Let k(y) be the first derivative of 2*y**3/15 - 32*y**2/5 + 24*y + 2393. Factor k(o).
2*(o - 30)*(o - 2)/5
Solve -28*n**2 - 10/3*n**3 + 12 + 58/3*n = 0.
-9, -2/5, 1
Let d(j) be the third derivative of j**5/210 - 421*j**4/42 + 177241*j**3/21 - 933*j**2. Factor d(w).
2*(w - 421)**2/7
Suppose -218*r + 296 + 1026 = 164*r + 279*r. Let i = 6/17 - 7/68. Factor -5/4*m + i*m**r + 3/2.
(m - 3)*(m - 2)/4
Let b(y) be the third derivative of 0*y**5 + 0*y**3 + 2 + 0*y - 1/480*y**6 + 2*y**2 + 1/24*y**4. Factor b(z).
-z*(z - 2)*(z + 2)/4
Factor 0 + 8/11*y**4 + 134*y**3 - 1110/11*y**2 + 0*y.
2*y**2*(y + 185 | {
"pile_set_name": "DM Mathematics"
} |
(-30324)/34.
2, 223
Let b = 42 - 38. Suppose 0 = -b*d - 0*d. What are the prime factors of (d*(-4)/16)/2 - -110?
2, 5, 11
Let w(v) = -v**3 + 13*v - 5*v**2 - 19*v + 33*v - 13 - 13. List the prime factors of w(-11).
13, 31
Suppose -76 = l - 3*j - 574, 2*l = -3*j + 951. Let r = 806 + l. What are the prime factors of r?
1289
Suppose 3*l = l + 1408. Let i be l/(-66)*(-63)/2. Suppose 2*g + 2*g = i. List the prime factors of g.
2, 3, 7
Suppose -5*w = -14*w + 5*w. What are the prime factors of 23270/40 + (1/4 - w)?
2, 3, 97
Let x(y) = -y**2 - 8*y - 6. Let m be x(-5). Suppose m*g = 8*g + 560. Suppose 14*f - g = 6*f. What are the prime factors of f?
2, 5, 7
Suppose 5*o - 122657 = s, 16*s - 12*s + 122648 = 5*o. What are the prime factors of o?
2, 6133
Suppose -45*o + 4*y - 1493 = -48*o, 0 = o - 3*y - 502. Let u = o + -354. List the prime factors of u.
5, 29
Suppose -g - 8 = -5*g. Suppose -2*q - 1054 = -g*i, -3*i - 422 = -q - 1999. Suppose -4*j - 1 = 3, -5*j = 5*c - i. What are the prime factors of c?
2, 53
Suppose -45*d - 29230 = -82*d. Suppose 13*l + d - 3247 = 0. What are the prime factors of l?
3, 7
Suppose 0*q = -q + 64. Let y = 64 - q. Suppose -10*t + 17*t - 462 = y. List the prime factors of t.
2, 3, 11
Suppose -4*q + 2 = 34. Let i be (-2)/(-8) + 154/q + -5. List the prime factors of (-16)/i - (-94)/3.
2
Let h(c) be the second derivative of 5*c**3 - 121*c**2/2 - 48*c + 2. What are the prime factors of h(27)?
13, 53
Let t be (2/7 - 130/(-35))*2. Suppose -4*p = -t*p + 1212. List the prime factors of 2*(p/6 - -4).
109
Let w(g) = g**3 + 18*g**2 + g - 25. Let t be 4 + -1 + -24 + 5. List the prime factors of w(t).
3, 157
Suppose -390*k = -3556605 - 1367419 - 6587606. What are the prime factors of k?
3, 9839
Let n(x) = -533*x**2 - 12 + x**3 - 9*x + 32*x + 515*x**2. What are the prime factors of n(17)?
2, 3, 5
Let c = -221 - -285. Let l = c - -269. List the prime factors of l.
3, 37
Let r(l) = l**3 - 3*l**2 + 55*l - 2*l**2 - 2*l**2 - 6*l**2 - l**2. List the prime factors of r(11).
2, 11
Suppose -8*y = -9*y + 30. Suppose 4*n + 2*k = 38, -5*n + 0*k + y = -k. Suppose 871 + 620 = n*d. What are the prime factors of d?
3, 71
Let w(y) be the first derivative of -9/2*y**2 - 33 + 1/3*y**3 - 40*y. List the prime factors of w(19).
2, 3, 5
Let k(c) = 2*c**2 + 27*c + 37. Let p be k(-12). What are the prime factors of 2/(p*2/130)?
2, 5, 13
Let b = -18543 + 38900. List the prime factors of b.
20357
Let y = 100 + -98. Suppose -t - 122 = -y*u, 0 = -4*u + t - 6*t + 244. What are the prime factors of u?
61
Let b(x) = -13*x**3 + 19*x**2 + 10*x - 27. Let c(p) = -11*p**3 + 20*p**2 + 11*p - 26. Let n(z) = 6*b(z) - 7*c(z). List the prime factors of n(-27).
2, 151
Suppose 0 = -22*t + 205560 + 461722. List the prime factors of t.
7, 619
Let u = 352 + -92. Suppose -4*f + 265 = v, 0 = 6*v - 5*v - f - u. List the prime factors of v.
3, 29
Let q(z) = -z - 20. Let r(d) = d + 20. Let a(u) = 5*q(u) + 6*r(u). Let c be a(0). Let j = c - -24. List the prime factors of j.
2, 11
What are the prime factors of (-8)/((-32)/20) + 4479?
2, 19, 59
Let u = -3819 - -10377. What are the prime factors of u?
2, 3, 1093
Suppose -19256 = -45*n + 44*n - 4*j, 2*n + 3*j = 38542. What are the prime factors of n?
2, 5, 241
Let i be 11525/(-10)*2*2/5. Let u = i - -1525. Suppose 0 = -5*m + 4*l + u, -93 = -4*m + 4*l + 391. List the prime factors of m.
7, 17
Let p = 23157 + -10210. List the prime factors of p.
11, 107
Let l be 13752/(-135) - -7 - (-4)/(-30). List the prime factors of (2774/l)/((-48)/(-50) + -1).
2, 5, 73
Let f = 2818 - 2342. List the prime factors of f.
2, 7, 17
Let j = 6976 + 2706. List the prime factors of j.
2, 47, 103
List the prime factors of ((-3514)/(-42))/((-13)/(-1521)).
3, 13, 251
Suppose -j = i, -3*j - 2 - 10 = 0. Suppose -2*p = -3*t - 682, -p - 2*t + 343 = -i*t. List the prime factors of p.
5, 67
Suppose -1572 - 381 = k. Let r = k + 2977. What are the prime factors of r?
2
Let d(h) = -h**3 + 8*h**2 - 4*h + 32. Let y be d(8). Suppose -3*v + 5*k + 1321 = 0, 3*v - 2*k + 3*k - 1309 = y. List the prime factors of v.
19, 23
Suppose 4*s - 134 = -5*r, 5*r - 489*s + 488*s = 104. Suppose -5*y = -3*x + 113, 62 = 5*x + 2*y - 85. Suppose r*d + 1872 = x*d. What are the prime factors of d?
2, 13
Let m = -5749 - -11879. List the prime factors of m.
2, 5, 613
Suppose -j + 258 = 2*k, 0 = k - 0*k - 2*j - 134. Let m = -44 + k. List the prime factors of m.
2, 43
Let k(p) = 270*p - 70. Let m(f) = -135*f + 34. Let a(l) = 4*k(l) + 7*m(l). What are the prime factors of a(3)?
3, 11
Let o(f) = -8208*f**3 - 6*f**2 - f - 2. List the prime factors of o(-1).
59, 139
Let p(h) = 78*h + 45. Let d be (-32)/6 + 5 + (-64)/(-12). What are the prime factors of p(d)?
3, 5, 29
Let x(t) = 2*t**2 - 44*t - 434. List the prime factors of x(-26).
2, 1031
Let p = 727 - 472. List the prime factors of ((-34)/(-5) - 6)*p.
2, 3, 17
Suppose 2*w = -27 + 31. Suppose 2*m + 3*t = 4*t + 648, 0 = -5*m + w*t + 1620. List the prime factors of m.
2, 3
Let m = -93 - -146. Let q = m - 48. List the prime factors of (-1 + -5)*115/(-15)*q.
2, 5, 23
Let h(r) = -r**3 + 24*r**2 + 75*r - 32. List the prime factors of h(17).
2, 23, 71
Let g = 34906 - 19240. What are the prime factors of g?
2, 3, 7, 373
Let t(s) = -4*s**2 - 146*s + 100. List the prime factors of t(-15).
2, 5, 139
Suppose 14*z + z - 25630 = 5*z. What are the prime factors of z?
11, 233
Let p(c) be the second derivative of c**5/20 + 4*c**4/3 - 4*c**3/3 + 7*c**2 - 3*c. Let o be (-22 - 2)*(-58)/(-87). List the prime factors of p(o).
2, 71
Let l = 137 - 76. Suppose 20*t - k + 1992 = 24*t, 0 = 4*t + 4*k - 1980. Suppose -l = -8*i + t. List the prime factors of i.
2, 5, 7
Suppose 13*m - 11*m - 4 = 0. Suppose d + h - 3 = -1, 2*d - 12 = m*h. Let y(s) = -s + 13. What are the prime factors of y(d)?
3
Let m(c) = -76*c + 14. Let k = 99 - 103. What are the prime factors of m(k)?
2, 3, 53
Suppose -3*l - 6*z + z + 75 = 0, -72 = -3*l - 4*z. Let o be 8/l - (-5016)/(-15). List the prime factors of 1/((-11)/(-22) + 165/o).
167
Let g(i) be the first derivative of -8*i**2 - 7*i + 57. List the prime factors of g(-4).
3, 19
Let a(r) = r + 17. Let g be a(-10). Let z(p) = 25*p - 16. Let x be z(g). Suppose 4*n - x - 137 = 0. What are the prime factors of n?
2, 37
Let f be 26/143 + (-568)/(-22). Suppose 4*p + 8 = 0, -3*x = x + 5*p + f. List the prime factors of (-4)/40*x - 246/(-10).
5
Suppose -16*s + 18*s + 3*o = -93, -3*o = 3. List the prime factors of (-48)/((-5)/s*-6).
2, 3
Let d = 3567 - 1851. Suppose 6*k - d = -6*k. Let u = k + -55. List the prime factors of u.
2, 11
List the prime factors of (22 - (-360)/(-12)) + 14404/1.
2, 59, 61
Let h(m) = 28*m**2 + 7*m + 4. Suppose -4*p + 5*x = 22, 4*p = -p + 5*x - 25. Let t be h(p). What are the prime factors of ((-1)/(-5))/(1/t)?
47
Let w = -2834 + 6563. List the prime factors of w.
3, 11, 113
Let p(q) = 8968*q - 2740. What are the prime factors of p(4)?
2, 3, 11, 251
Suppose 3*g = 2*z - 2637, 4*g + 3533 = 49*z - 52*z. Let p = -452 - g. List the prime factors of p.
3, 11, 13
Let k = 9 + -5. Let p be (10/25)/(6*(-3)/(-225)). Suppose -810 = -p*w + y, 0*w - 4*y - 664 = -k*w. List the prime factors of w.
7, 23
Let o = 43 + -14. Suppose -o*h + 11*h = -7020. What are the prime factors of h?
2, 3, 5, 13
Let l(v) be the third derivative of 5*v**4/3 - 22*v**3/3 - 6*v**2. List the prime factors of l(8).
2, 3, 23
Let d(w) = -19*w**3 + 3*w**2 - 60*w + 7. What are the prime factors of d(-7)?
7, 1013
Let x = 4071 - 1336. Suppose -4*u + x = u. List the prime factors of u.
547
List the prime factors of 320472/30 + (-6)/(-45)*-3.
2, 7, 109
Let k = -175 + 644. Let z = k - -32. Suppose 3*g - 6*g = -4*c + z, 0 = 5*g + 15. List the prime factors of c.
3, 41
Suppose -o = 2, 15*k + 7*o = 11*k + 102026. List the prime factors of k.
2, 5, 2551
Let z(p) = -2*p + 18. Let y be z(0). Let x be y*((-5)/5 - (-18)/4). Suppose o = -2*n + 4*o + 126, n - x = -o. List the prime factors of n.
3, 7
Let g = -58 - -63. Suppose g*h = 17*h - 24. What are the prime factors of (-4 - h)*-3 - 5?
13
Suppose 49*i - 23*i = -264576. What are the prime factors of (-10)/(-4)*i/(-240)?
2, 53
Let t(x) = 2*x + 6. Let c be t(-1). Suppose -h = c, -128 - 116 = -m - 2*h. List the prime factors of m.
2, 3, 7
Suppose -18*d + 43 | {
"pile_set_name": "DM Mathematics"
} |
to base 16
2
Convert 6 (base 8) to base 6.
10
What is 3 (base 8) in base 14?
3
Convert 17 (base 15) to base 13.
19
Convert 5 (base 16) to base 3.
12
-15 (base 6) to base 8
-13
0 (base 13) to base 5
0
What is 5 (base 15) in base 6?
5
Convert 1a9 (base 11) to base 2.
11110000
10 (base 2) to base 10
2
What is -127 (base 10) in base 16?
-7f
1 (base 16) to base 6
1
What is 3 (base 8) in base 14?
3
c (base 13) to base 6
20
What is 5 (base 15) in base 14?
5
12 (base 10) to base 15
c
-10 (base 7) to base 12
-7
Convert -2 (base 10) to base 11.
-2
-14 (base 9) to base 6
-21
-29 (base 15) to base 13
-30
What is 11 (base 12) in base 2?
1101
Convert 22 (base 3) to base 5.
13
40 (base 11) to base 3
1122
Convert -1000 (base 2) to base 10.
-8
What is -100010 (base 2) in base 9?
-37
Convert -7 (base 15) to base 4.
-13
Convert 1 (base 4) to base 2.
1
-21 (base 11) to base 9
-25
What is 31 (base 6) in base 9?
21
-50 (base 16) to base 14
-5a
Convert 1021 (base 3) to base 5.
114
Convert 10 (base 2) to base 5.
2
-1 (base 10) to base 12
-1
What is -7 (base 13) in base 15?
-7
Convert -4 (base 7) to base 10.
-4
21 (base 5) to base 12
b
Convert 10201 (base 4) to base 2.
100100001
Convert -7 (base 8) to base 6.
-11
What is a2 (base 15) in base 8?
230
2 (base 6) to base 7
2
-11000 (base 2) to base 16
-18
10 (base 8) to base 2
1000
Convert -98 (base 10) to base 7.
-200
What is -10f (base 16) in base 6?
-1131
Convert a9 (base 12) to base 13.
9c
What is 4 (base 5) in base 8?
4
What is 11000 (base 2) in base 12?
20
Convert 34 (base 5) to base 4.
103
What is -80 (base 15) in base 2?
-1111000
What is 9 (base 13) in base 3?
100
Convert 2 (base 14) to base 15.
2
-52 (base 12) to base 9
-68
What is 2 (base 8) in base 7?
2
Convert 10 (base 4) to base 15.
4
-79 (base 15) to base 9
-136
What is 2 (base 15) in base 10?
2
-1 (base 5) to base 3
-1
Convert -41 (base 13) to base 9.
-58
What is 11 (base 13) in base 7?
20
-62 (base 11) to base 10
-68
Convert 4f (base 16) to base 10.
79
Convert 11 (base 6) to base 2.
111
-89 (base 11) to base 10
-97
-d1 (base 15) to base 13
-121
Convert 56 (base 8) to base 13.
37
Convert -1 (base 16) to base 8.
-1
-400 (base 5) to base 6
-244
-81 (base 11) to base 14
-65
Convert 1 (base 11) to base 9.
1
8 (base 16) to base 11
8
Convert -3 (base 7) to base 11.
-3
Convert 5 (base 11) to base 4.
11
Convert 0 (base 15) to base 12.
0
What is 0 (base 6) in base 13?
0
What is -21 (base 14) in base 16?
-1d
Convert -10 (base 7) to base 8.
-7
22 (base 5) to base 8
14
What is -b (base 14) in base 4?
-23
Convert -1 (base 9) to base 12.
-1
What is 442 (base 9) in base 2?
101101010
Convert 5 (base 6) to base 12.
5
Convert -64 (base 15) to base 6.
-234
Convert 6 (base 13) to base 12.
6
Convert -78 (base 16) to base 5.
-440
-6 (base 8) to base 11
-6
What is 3 (base 5) in base 15?
3
What is 101 (base 12) in base 6?
401
What is -103 (base 7) in base 4?
-310
What is -11 (base 2) in base 12?
-3
What is -33 (base 9) in base 6?
-50
Convert 147 (base 14) to base 8.
403
5 (base 6) to base 11
5
Convert 62 (base 8) to base 9.
55
0 (base 12) to base 5
0
Convert 2 (base 4) to base 10.
2
Convert 11 (base 15) to base 5.
31
What is -2 (base 15) in base 11?
-2
What is 24 (base 9) in base 8?
26
What is 100 (base 2) in base 7?
4
What is 59 (base 16) in base 2?
1011001
Convert 126 (base 8) to base 11.
79
What is 4 (base 16) in base 12?
4
What is 0 (base 13) in base 16?
0
What is 125 (base 8) in base 11?
78
Convert 1 (base 3) to base 15.
1
214 (base 9) to base 3
20111
-1341 (base 5) to base 10
-221
Convert -41 (base 10) to base 7.
-56
What is -3 (base 14) in base 2?
-11
What is 2110 (base 3) in base 13?
51
What is -3 (base 5) in base 10?
-3
-3 (base 5) to base 8
-3
-13 (base 4) to base 9
-7
Convert 1004 (base 5) to base 12.
a9
What is 0 (base 4) in base 10?
0
-1 (base 5) to base 3
-1
Convert 130 (base 9) to base 5.
413
What is -61 (base 7) in base 13?
-34
Convert 10 (base 15) to base 11.
14
65 (base 7) to base 5
142
What is 20111 (base 3) in base 15?
ba
11 (base 2) to base 4
3
Convert -1 (base 9) to base 14.
-1
-83 (base 9) to base 10
-75
Convert -156 (base 9) to base 2.
-10000100
41 (base 15) to base 13
49
-3 (base 10) to base 16
-3
13 (base 15) to base 11
17
-15 (base 7) to base 11
-11
Convert -61 (base 9) to base 10.
-55
Convert 88 (base 9) to base 11.
73
What is -1050 (base 6) in base 16?
-f6
Convert -26 (base 12) to base 13.
-24
-b (base 16) to base 9
-12
4 (base 13) to base 14
4
-20 (base 9) to base 14
-14
Convert 21 (base 3) to base 16.
7
-120 (base 3) to base 14
-11
Convert 204 (base 5) to base 11.
4a
Convert 332 (base 4) to base 14.
46
Convert 1 (base 7) to base 15.
1
What is -13 (base 5) in base 12?
-8
What is -70 (base 14) in base 2?
-1100010
a (base 12) to base 4
22
Convert -33 (base 13) to base 11.
-39
What is 1 (base 14) in base 13?
1
Convert 4 (base 9) to base 15.
4
281 (base 9) to base 14
12b
-d5 (base 15) to base 10
-200
12110 (base 3) to base 15
9c
What is 2 (base 11) in base 16?
2
What is 55 (base 14) in base 4?
1023
Convert -6 (base 12) to base 9.
-6
What is -9 (base 11) in base 5?
-14
-10 (base 9) to base 4
-21
Convert -20 (base 12) to base 4.
-120
Convert 115 (base 9) to base 6.
235
-4 (base 5) to base 8
-4
What is -120 (base 3) in base 11?
-14
Convert 4 (base 7) to base 14.
4
What is 23 (base 5) in base 2?
1101
What is -136 (base 10) in base 12?
-b4
Convert -3 (base 11) to base 9.
-3
100 (base 5) to base 8
31
Convert -13 (base 7) to base 4.
-22
What is -333 (base 5) in base 7?
-162
Convert 1 (base 2) to base 7.
1
Convert -2 (base 16) to base 15.
-2
Convert -1310 (base 4) to base 10.
-116
Convert 1 (base 3) to base 2.
1
5 (base 12) to base 14
5
What is 3 (base 16) in base 6?
3
What is 1 (base 10) in base 15?
1
Convert -a7 (base 12) to base 9.
-151
What is 4 (base 15) in base 12?
4
What is -3 (base 7) in base 10?
-3
b3 (base 13) to base 14
a6
What is 40 (base 5) in base 16?
14
40 (base 5) to base 16
14
What is 0 (base 11) in base 6?
0
What is -3 (base 11) in base 14?
-3
-117 (base 11) to base 4
-2023
What is 11 (base 3) in base 12?
4
Convert 11 (base 13) to base 15.
e
Convert 3 (base 5) to base 6.
3
Convert -4 (base 13) to base 16.
-4
What is 46 (base 16) in base 6?
154
What is -60 (base 16) in base 14?
-6c
What is -64 (base 15) in base 8?
-136
What is -3 (base 9) in base 4?
-3
What is -13 (base 16) in base 14?
-15
What is -602 (base 7) in base 2?
-100101000
What is 3b (base 16) in base 9?
65
What is 2 (base 6) in base 14?
2
Convert -2020 (base 4) to base 9.
-161
What is 20 (base 8) in base 15?
11
Convert -2 (base 14) to base 6.
-2
What is -7 (base 11) in base 4?
-13
Convert 4 (base 13) to base 14.
4
What is 4 (base 8) in base 14?
4
12 (base 9) to base 6
15
-7 (base 14) to base 9
-7
0 (base 11) to base 14
0
Convert -52 (base 8) to base 4.
-222
Convert 10 (base 4) to base 2.
100
-7 (base 10) to base 9
-7
Convert -14 (base 15) to base 4.
-103
226 (base 8) to base 4
2112
What is 0 (base 13) in base 2?
0
1 (base 16) to base 15
1
What is -40 (base 7) in base 12?
-24
-11 (base 2) to base 3
-10
What is -6 (base 12) in base 2?
-110
What is 5 (base 16) in base 4?
11
What is 0 (base 10) in base 7?
0
Convert 97 (base 14) to base 16.
85
What is 3 (base 14) in base 12?
3
2 (base 5) to base 7
2
Convert 2 (base 12) to base 9.
2
38 (base 16) to base 12
48
Convert -3 (base 8) to base 16.
-3
-115 (base 7) to base 11
-56
What is -11103 (base 4) in base 10?
-339
What is 112 (base 7) in base 15?
3d
Convert -20 (base 5) to base 16.
-a
-101 (base 2) to base 14
-5
-1 (base 8) to base 9
-1
What is -10e (base 15) in base 11?
-1a8
121 (base 5) to base 16
24
Convert -254 (base 9) to base 4.
-3103
52 (base 9) to base 13
38
Convert -127 (base 11) to base 6.
-410
What is -6 (base 14) in base 16?
-6
-20 (base 4) to base 13
-8
What is 11211 (base 4) in base 2?
101100101
Convert 19 (base 15) to base 9.
26
10 (base 8) to base 4
20
Convert 103 (base 10) to base 13.
7c
Convert -10 (base 5) to base 3.
-12
What is -20 (base 7) in base 11?
-13
-3 (base 7) to base 15
-3
38 (base 11) to base 15
2b
Convert 100 (base 5) to base 7.
34
-101 (base 5) to base 12
-22
-17 (base 13) to base 9
-22
-4 (base 9) to base 4
-10
What is 51 (base 15) in base 12?
64
67 (base 14) to base 16
5b
What is -28 (base 15) in base 12 | {
"pile_set_name": "DM Mathematics"
} |
0*k**2.
-k**2
Collect the terms in -2*u**2 - 28*u**3 + 2*u**2 - 30*u**3 + 57*u**3.
-u**3
Collect the terms in 1156*a**2 - 8*a**3 - 1156*a**2 + 15*a**3.
7*a**3
Collect the terms in -3 + 6 - 3 + 333*u - 334*u.
-u
Collect the terms in 3*k - 6*k + 5*k**3 + 104*k**3.
109*k**3 - 3*k
Collect the terms in 1 + 3 + 4*g**2 - 4.
4*g**2
Collect the terms in -3*u + 23*u + 14*u + 2*u.
36*u
Collect the terms in -11*y**2 - 5*y**2 + 2*y**2 + 15*y**2.
y**2
Collect the terms in -u + 0*u + 2*u + 156.
u + 156
Collect the terms in 5*m**2 - 133*m**3 + 136*m**3 - 5*m**2.
3*m**3
Collect the terms in 11*i**3 - 17*i**3 - 10*i**3.
-16*i**3
Collect the terms in 194 - 194 + 32*a.
32*a
Collect the terms in -63*u + 191*u - 64*u - 66*u.
-2*u
Collect the terms in -37470 + 4*w + 37470 - 4*w - 2*w**3.
-2*w**3
Collect the terms in 10*g**2 - 13*g + 13*g + 0*g**2 + 5*g**2.
15*g**2
Collect the terms in 15*a**3 - 8*a**3 + 5*a**3.
12*a**3
Collect the terms in -6*a - 16*a + 43*a - 8*a - 12*a.
a
Collect the terms in 0*a + 0*a + 0*a + 1510*a**2 - 1515*a**2.
-5*a**2
Collect the terms in -197 + 197 + 0*c**3 + 6*c**3.
6*c**3
Collect the terms in -10*p**2 + 4*p**2 - 3*p**2.
-9*p**2
Collect the terms in 29*j**3 - 75*j**3 + 9*j**3.
-37*j**3
Collect the terms in -4*u**3 - 35*u**2 + 35*u**2.
-4*u**3
Collect the terms in -1856 + 1856 + 8*p**3.
8*p**3
Collect the terms in 24*j**3 - 7*j**3 - 19*j**3.
-2*j**3
Collect the terms in -14*k**2 + 0*k**2 + 3*k**2 + 3*k**2 + 6*k**2.
-2*k**2
Collect the terms in -195*d - 200*d - 206*d + 599*d.
-2*d
Collect the terms in 6 - s - 12 + 6 - 35*s**3.
-35*s**3 - s
Collect the terms in 4*t**3 + 2*t**3 + 2*t**3 - 10*t**3.
-2*t**3
Collect the terms in 3114 + 5*q - 3114.
5*q
Collect the terms in 112 - 76 + h**3 - 36.
h**3
Collect the terms in 579*x**2 + 597*x**2 - 1166*x**2.
10*x**2
Collect the terms in -358*c + 734*c - 379*c.
-3*c
Collect the terms in -447*m + 1 + 452*m - 1.
5*m
Collect the terms in -220077*f**2 + 1 + 220092*f**2 - 1.
15*f**2
Collect the terms in 19 - 19 - 5*m**2 - m**2.
-6*m**2
Collect the terms in -6 + 4*k - 5*k**2 + k - 5*k.
-5*k**2 - 6
Collect the terms in -7*w**2 + w**2 + 124 - 257 + 133.
-6*w**2
Collect the terms in -n**3 + 2*n**3 - 3*n**3.
-2*n**3
Collect the terms in -4*f + 141 - 141 + 3*f.
-f
Collect the terms in -46*g**2 - 57*g**2 + 151*g**2 - 44*g**2.
4*g**2
Collect the terms in -2 - 24 - 21 - 20*r + 8.
-20*r - 39
Collect the terms in -98*v - 18*v - 2*v**2 - 15*v.
-2*v**2 - 131*v
Collect the terms in -3379*o + 3379*o + 26*o**2.
26*o**2
Collect the terms in 2*i**2 + 0*i**2 - 2*i**2 + 2*i**2.
2*i**2
Collect the terms in -2*o**3 + 4*o - 3 - 11*o + 7*o.
-2*o**3 - 3
Collect the terms in 24*s**3 - 2*s**2 - 3*s**3 - 8*s**2.
21*s**3 - 10*s**2
Collect the terms in 61 + 3*q - 61.
3*q
Collect the terms in -3*a**3 + a**3 + 6*a**3 - 15*a**3.
-11*a**3
Collect the terms in -k + 10*k + 6*k.
15*k
Collect the terms in 6 - 19 + 3 - 58 + 2*d.
2*d - 68
Collect the terms in 22*r + 10 - 3 - 7.
22*r
Collect the terms in -1009*q - 1003*q - 2*q**3 + 2012*q.
-2*q**3
Collect the terms in -7*i**3 - 13*i**3 - 22*i**3.
-42*i**3
Collect the terms in 76985*i - 76985*i - i**3.
-i**3
Collect the terms in 12*q**3 + 24*q**2 - 18*q**3 - 26*q**2 - 4*q**3.
-10*q**3 - 2*q**2
Collect the terms in -51*j - 42*j + 97*j.
4*j
Collect the terms in 10*w + 16*w - 26*w + 2*w**2.
2*w**2
Collect the terms in 111 + 37*z**3 - 111.
37*z**3
Collect the terms in 19*s**2 + 25*s**2 + 21*s**2 - 60*s**2.
5*s**2
Collect the terms in 42 - 4*r - 14*r - 42.
-18*r
Collect the terms in 8*j**2 + 14 - 28 + 14.
8*j**2
Collect the terms in 1116*z**3 - 2242*z**3 + 1121*z**3 - 2 + 2.
-5*z**3
Collect the terms in -2 + 119*h**3 - 120*h**3 - 4.
-h**3 - 6
Collect the terms in -c**2 - 7*c**2 + 15*c**2 - 10*c**2.
-3*c**2
Collect the terms in -25*g + 41*g - 24*g.
-8*g
Collect the terms in -22*r**2 + 5986 - 5986.
-22*r**2
Collect the terms in 72*i**2 - 31*i**2 - 36*i**2.
5*i**2
Collect the terms in 316*d**2 + 313*d**2 + 320*d**2 - 947*d**2.
2*d**2
Collect the terms in -13*f + 7*f**2 + 18*f - 5*f.
7*f**2
Collect the terms in -34 + 15 - 4*i**3 + 19.
-4*i**3
Collect the terms in -1 + 2 - 2*x + 1 + 21*x.
19*x + 2
Collect the terms in 8*r**2 - 10*r**2 + 5*r**2.
3*r**2
Collect the terms in 93 + 342 - 109 - 12*p.
-12*p + 326
Collect the terms in -4*d**3 - 21 + 2 + 3*d**3.
-d**3 - 19
Collect the terms in w**2 + 411 - 411.
w**2
Collect the terms in -33 + 60 - 100*m**2 - 27.
-100*m**2
Collect the terms in 0*d**3 + 3*d**3 - 6*d**2 - 7*d**2.
3*d**3 - 13*d**2
Collect the terms in 15 - n + 8 - 17 - 6.
-n
Collect the terms in -8*s - 15*s**3 + 274*s**3 + 8*s.
259*s**3
Collect the terms in 2*d**2 - 3*d**2 + 5*d**2 + 2*d**2.
6*d**2
Collect the terms in -2*b - 11*b + 4*b - 7*b.
-16*b
Collect the terms in -10*h + 40*h - 13*h - 12*h.
5*h
Collect the terms in -23 + 26*c**2 + c**2 + 26.
27*c**2 + 3
Collect the terms in 44*p**3 + 47*p**3 - 135*p**3 + 47*p**3.
3*p**3
Collect the terms in -250*v**3 + 403*v**3 - 151*v**3.
2*v**3
Collect the terms in 85*y**3 + 362*y**3 + 254*y**3 - 97*y**3.
604*y**3
Collect the terms in 1162*o**2 + 1419*o**2 + 227*o**2.
2808*o**2
Collect the terms in 3*b**2 - 5*b**2 - b**2 + 0*b**2 + b**2.
-2*b**2
Collect the terms in -2*n**3 - n**3 - n**3 + 0*n**3.
-4*n**3
Collect the terms in 0*j - 3*j + 2*j + 2*j.
j
Collect the terms in 1977*y + 2394*y - 1103*y.
3268*y
Collect the terms in 204*j**2 + 203*j**2 - 397*j**2.
10*j**2
Collect the terms in 9*v**3 - 1 - 26 + 27.
9*v**3
Collect the terms in -12*f**2 + 10 - 45 + 15 + 18.
-12*f**2 - 2
Collect the terms in -337713*r - 16*r**2 + 337713*r.
-16*r**2
Collect the terms in 3*g**2 + 25*g**2 + 131*g**2.
159*g**2
Collect the terms in -10*k**2 + 13*k**2 - 7*k**2.
-4*k**2
Collect the terms in 78*h**2 + 2 - 89*h**2 - 2.
-11*h**2
Collect the terms in 146 - r - 146 + 5*r - 6*r.
-2*r
Collect the terms in 34*i + 0*i**3 - 3*i**3 + 4*i**3.
i**3 + 34*i
Collect the terms in -26 - 4 - 22 + 4*x + 12.
4*x - 40
Collect the terms in -4*h + 177735 + h - 177735.
-3*h
Collect the terms in -45*z + 45*z - 29 - 5*z**2 + 3*z**2.
-2*z**2 - 29
Collect the terms in b**2 - 36*b**2 - 6*b**2.
-41*b**2
Collect the terms in 0 + 0 + 2367*u**3 - 2368*u**3.
-u**3
Collect the terms in 6*p + 0*p + 13*p + 3*p - 19*p.
3*p
Collect the terms in -74*f**3 - 39*f**3 + 22*f**3.
-91*f**3
Collect the terms in 91*c + 5 + c - 5.
92*c
Collect the terms in 5*c**2 + 4*c**2 + 2*c**3 - 9*c**2.
2*c**3
Collect the terms in 2*r**3 - 7*r**3 + 3*r**3 - 5*r**3.
-7*r**3
Collect the terms in -45 + 25 - 3*w + 20.
-3*w
Collect the terms in 9*u + 7*u + 8*u - 17*u + 2.
7*u + 2
Collect the terms in 48*d**2 - 3*d + 3*d + 26*d**2 + 4.
74*d**2 + 4
Collect the terms in 35*h**2 - 90 + 90 - 10*h.
35*h**2 - 10*h
Collect the terms in y**3 + 12*y**3 + 31*y**3.
44*y**3
Collect the terms in -49*j**2 + 70*j**2 + 108*j**2 + 83*j**2.
212*j**2
Collect the terms in 13*o**3 + 3*o**3 - 12*o**3.
4*o**3
Collect the terms in -20*s + 2*s**2 + 14*s + 6*s.
2*s**2
Collect the terms in -12 + 23 - 11 + 38*g**3.
38*g**3
Collect the terms in 5*d - 8*d - 5*d.
-8*d
Collect the terms in -3*l + l + l + 7.
-l + 7
Collect the terms in 3 - 228*o**3 + 225*o**3 - 3.
-3*o**3
Collect the terms in 15*g**2 - 15*g**2 - 5*g**3.
-5*g**3
Collect the terms in 990 - 8*l - 990.
-8*l
Collect the terms in -108*z**3 - 175*z**3 - 309*z**3 + 121*z**3.
-471*z**3
Collect the terms in -135*n + 77*n + 55*n.
-3*n
Collect the terms in -121*a + 354*a - 116*a - 112*a.
5*a
Collect the terms in 4*c**3 + 10*c**3 + 9*c - 9*c.
14*c**3
Collect the terms in -3 + 0 - 16*r + 13*r.
-3*r - 3
Collect the terms in -35*i**3 + 56*i**3 - 27*i**3.
-6*i**3
Collect the terms in -9*i - 5*i - 31*i.
-45*i
Collect the terms in 40*t**2 + 5*t**2 - 47*t**2.
-2*t**2
Collect the terms in h - 541*h**2 + 2*h - 3*h.
-541*h**2
Collect the terms in -578*l**2 + 6*l**3 + 578*l**2 + 11*l**3.
17*l**3
Collect the terms in 2 - 609*t**3 - 3 + 615*t**3.
6*t**3 - 1
Collect the terms in 10 - 10 - 9*d**2 + 0.
-9*d**2
Collect the terms in 2*g - 5*g + 3*g + 18*g - 2*g**2.
-2*g**2 + 18*g
Collect the terms in -41*o**3 + 69*o**3 - 25*o**3.
3*o**3
Collect the terms in 3*m**3 - 8 - 36 + 6.
3*m**3 - 38
Collect the terms in -9 + 42 - 7*k - 17 - 16.
-7*k
Collect the terms in 12*k + 36*k - 162*k - 74*k.
-188*k
Collect the terms in -1188*y**2 + 1188*y**2 - y* | {
"pile_set_name": "DM Mathematics"
} |
n.
3
Solve -1938*q - 25 = -1933*q + 2*p + 2*p, -2*q - 10 = 2*p for q.
-5
Solve -19*l = -4*n + 42, -652*l + 653*l - 2 = -4*n for l.
-2
Solve -446*c + 22 = -u - 444*c, -4*c = 5*u + 110 for u.
-22
Solve 21 = -4*t + 5*t - 3*r, 23*t + 3*r = 32*t - 45 for t.
3
Solve 9868*y = 2*d + 9873*y - 3, -4*d = -4*y + 8 for d.
-1
Solve b - 4 - 17 = 3*s, 0 = 5*b - 3*s - 57 for b.
9
Solve -15 = 5*p - 975*o + 970*o, 0 = 4*p + 3*o - 44 for p.
5
Solve 4*h = m + 15, m - 5*h - 44 = -63 for m.
1
Solve -112*o - 5*u = -110*o + 20, 0 = -3*o - 4*u - 23 for o.
-5
Solve -16*y - 43 = -5*g, -50*y + 3*g + 6 = -51*y for y.
-3
Solve -u = -5*k + 10, -3*k - 173*u = -87*u - 91*u + 16 for k.
3
Solve 9*a - 333*w = -334*w - 106, 0 = -5*w + 10 for a.
-12
Solve 2*c + 5*n = -4, -3 = -3*c + 10*n - 13*n for c.
3
Solve -2*j + 5*o = 4, -8*o + 6 = -3*j - 2*o - 15*o for j.
-2
Solve 5*v = -2*s + 11*v + 14, 14 = -s - 4*v for s.
-2
Solve 258*s - 266*s = 3*k + 33, -s + 4 = 2*k for k.
5
Solve -2*r - 45*w + 42*w + 11 = 0, -4*w = 2*r - 12 for r.
4
Solve -v + 77*b - 54*b = -49, -9*b + 12*b = 5*v - 21 for v.
3
Solve 7*g = 7*b - 8*b + 93, -43 = -2*b - 3*g for b.
2
Solve -5 = -5*n + 2*u, 0 = 7*n + n - 4*u - 16 for n.
-3
Solve 2*g + a = 5, g + 53*a - 1 = 52*a for g.
4
Solve 57*n - x = 54*n + 9, -2*x = -4*n + 10 for n.
4
Solve -t - v + 1 = 0, -15*v + 10*v + 15 = 0 for t.
-2
Solve 5*v = t + 28, -3*t = -0*v + 5*v - 16 for v.
5
Solve i - 4*v + 5 = -7, -2*v = -4 for i.
-4
Solve -3*b - 31 = 4*l, -396*b + 4*l = -389*b - 61 for b.
3
Solve -178 + 190 = 6*j + 3*t, -5*j - t + 7 = 0 for j.
1
Solve -6*d + d = -4*j + 36, -44 = 4*j + 5*d for j.
-1
Solve -5*z + 13 = 2*p, -332*p + 5*z = -330*p - 3 for p.
4
Solve -35296*y + 35300*y + 5*v + 16 = 0, 2*y - 3*v = -8 for y.
-4
Solve 10*r = 3*r + 4*n + 7, -2*r + 3*n = -2 for r.
1
Solve 36*s - 31*s - 11 = -4*o, -12 = 3*o - 3*s for o.
-1
Solve -9 = -3*p, -8726*p + 8721*p = 2*w - 13 for w.
-1
Solve -3*c + 4 = -f, -80 + 103 = 6*c + f for c.
3
Solve -3*m = -w + 2130 - 2117, 5*w + m = 1 for w.
1
Solve 3*h + 114 = 7*k, -43*k - 33 = h - 45*k for h.
-3
Solve 16 = -2*m - 3*s, 3*m - 2*s + 352 = 341 for m.
-5
Solve 12 = -3*y + 6*w, -55*y + 50*y + w = 2 for y.
0
Solve 0 = 3*g + 15, -280*g + 258*g = 3*o + 98 for o.
4
Solve -4*p + 8*p - 16 = 4*n, -14 = -4*p + 5*n for p.
6
Solve -2*g = 5*t + 20, -1267*g + 1270*g + 25 = -5*t for t.
-2
Solve 0 = -a + 5*x - 11 - 1, 0 = 3*a + 2*x + x for a.
-2
Solve -981*l = -985*l + b - 28, -3*l - 5*b + 2 = 0 for l.
-6
Solve -287*v + 279*v = 5*w + 50, 3*v = 5*w - 5 for v.
-5
Solve 4*a + j + 18 = 0, -280*a = -281*a - 3*j + 1 for a.
-5
Solve -7 = -3*j + 2*q - 21, -20 = j + 7*q for j.
-6
Solve -g - 5*y - 28 = 0, -4567*y = -4563*y + 4 for g.
-23
Solve 48*d - 4*j + 604 = 0, -5*j + 137 - 97 = -5*d for d.
-13
Solve 3*m - 15 = -5*i - 10, 2*i - 3 = -m for i.
4
Solve -889*m = -3*f - 893*m - 1, -2*m = 4*f - 2 for f.
1
Solve -5*f - j = 25, -2 + 24 = -3*f - 2*j for f.
-4
Solve -5*p - 2*n = 55, -2*p + 4*n + 60 - 106 = 0 for p.
-13
Solve h + 5*k - 28 = 0, -21*h + 264*k = 265*k - 68 for h.
3
Solve -3*u - 5*w + 14 = 0, 152*w - 34 = -10*u + 148*w for u.
3
Solve -5*q = 3*k - 8*k - 15, -2 = -4*k + 2*q for k.
4
Solve -34486*x + 34490*x = -5*i - 32, 4*i - 5*x = -1 for i.
-4
Solve -12*a + 11*a = -2, 2*p + 2*a - 12 = 0 for p.
4
Solve -4*d + 3*u = 1557 - 1576, -3*u - 18 = -3*d for d.
1
Solve -3*k = 5*y - 34, -k + 69 - 63 = y for k.
-2
Solve -4*x = -2*d + 38, -2*d - 10 = -2596*x + 2598*x for x.
-8
Solve -17*y + 115*b - 120*b = 25, 2*y - b - 5 = 0 for y.
0
Solve 0 = -5*c + 3*t - 16 + 30, -2*c + 10 = t for c.
4
Solve -2297*g + c = -2299*g + 10, -c = 9*g - 31 for g.
3
Solve -l + 29*q = -6*q + 168, -4*q = -l - 13 for l.
7
Solve 0 = -81*k + 2*q + 1791 - 1301, 2*k - 22 = 5*q for k.
6
Solve 71*q + 2*b - 9 = 70*q, -3*q - 2*b + 15 = 0 for q.
3
Solve 3*z + 2*a = -32 + 5, -45 = 5*z + a for z.
-9
Solve -32*s + 33*s = -2*c + 5, -3*c = 3*s - 3 for c.
4
Solve 3*a = k - 23, 0 = 2*k + 4*a + 3029 - 3075 for k.
23
Solve -7 = -2*z + 10*u - 7*u, -11 = -z + 3*u for z.
-4
Solve 4*j - 2523*z = -2521*z + 50, 0 = j - z - 15 for j.
10
Solve 0 = -6*h + 26*u - 29*u - 33, 0 = 6*h - u + 21 for h.
-4
Solve 1 = w, 2*z = 894*w - 892*w - 10 for z.
-4
Solve -5*g = -10, 11*g - 38 = -12*z + 8*z for z.
4
Solve 4*t = u - 5, -5*t = -675*u + 679*u + 1 for t.
-1
Solve -a = 2*w, -54 = 5*w + 4*a - 48 for w.
2
Solve -5*m - 10 = -4*c, -142*c = -139*c + 5*m - 25 for c.
5
Solve 4*o + 3*y - 495 = -520, o - 4*y - 27 = 0 for o.
-1
Solve 4012 = -n + f + 4002, n + f + 17 = 3*f for n.
-3
Solve -4*w + 24 = -4*u, 2*w - w - u - 8 = -w for w.
2
Solve -i - 74 + 70 = -b, -14 = 5*i - 2*b for i.
-2
Solve -2*k - 4*m + 14 = 0, 5*m + 49 - 67 = -2*k for k.
-1
Solve -5*m - 8*a - 44 = -7*m, -5*a = m + 23 for m.
2
Solve 610*j = 4*h + 605*j, 4*j = -2*h + 26 for h.
5
Solve 4*v + q = -13, -4*v + 1832 = -q + 1835 for v.
-2
Solve k - 6 = -10203*y + 10202*y + 3*k, 3*y = k + 18 for y.
6
Solve -2*l - 11 = d, 222*l - 224*l + 9 = -3*d for d.
-5
Solve o + 4*c - 9 = 0, 159 = -o - 5*c + 170 for o.
1
Solve 8*j = 2*a + 22, 5615*j = 5612*j - a + 10 for j.
3
Solve 32 = 3*m + 198*o - 200*o, -4*m + 3*o = -47 for m.
2
Solve 24*f - 38 = 2*r + 12*f, 2*r + 14 = 4*f for r.
-1
Solve 139*q + 25 = h + 4*h + 134*q, 3*h + q - 19 = 0 for h.
6
Solve y + 44*q + 42 = 46*q, -4*y = q - 12 for y.
-2
Solve -4*r - 95*z = -106*z - 86, 13 = -r - 3*z for r.
5
Solve k - 10 = b, -17*k - 34*k - 5 = -4*b - 50*k for b.
5
Solve -37 = -3*x - 2*c, 3*x - 2*c + 273 - 212 = 3*c for x.
3
Solve 0 = 2*b - 4*n, -36 = -4*b + 135*n - 145*n for b.
4
Solve 0 = -4*k - 4*w - 20, 5*k = -4*w - 18 - 6 for k.
-4
Solve 8 = -8*l, 4*l = -328*y + 332*y + 8 for y.
-3
Solve 52*s + 15 = 47*s - 2*f, 4*f = -14*s - 50 for s.
-5
Solve 0 = 20*z + 3*r + 55, 3*z - 59*r + 54*r - 19 = 0 for z.
-2
Solve 10 = 2*v, l - 81*v + 25 = -76*v for l.
0
Solve z = -3*s + 3, 3*z - 2*s = 4*z + 2 - 1 for z.
-9
Solve s - 5*h - 41 = 5*s, -5*h = -15 for s.
-14
Solve 2*d = 10, -8*l - 3*d = -10*l - 23 for l.
-4
Solve -4*u - 68 + 62 = 5*z, 5*u = 3*z + 11 for z.
-2
Solve 3*w - 207*x = -203*x - 23, -3*x = 2*w + 38 for w.
-13
Solve 40*j - k + 1 = 45*j, -3*j - 4*k + 4 = 0 for j.
0
Solve -21*f + 18 = -19*f - 4*g, 4 = 16*g - 18*g for f.
5
Solve -3*o - 12 = 4*m, 0 = -2*o + 4*m - 1265 + 1277 for o.
0
Solve 2*m - 26*i = -78, 11*i + 3*i - 6 = -4*m + 12*i for m.
0
Solve m + 6 = 3*b + 8*m - 3*m, -5*m = 0 for b.
2
Solve -5*v = 31*q - 26*q - 40, 4*q = -2*v + 28 for v.
2
Solve 5*g - 160 = -31*q, -1465*g = -1468*g + 4*q - 17 for g.
1
Solve -47*c + 7 = i - 48*c, 2*i = 5*c + 29 for i.
2
Solve 2*t + 35 - 44 = 3*g, 5*g = 4*t - 17 for g.
-1
Solve 0 = 85*r - 90*r - i + 3, -3*r - 3*i = 39 for r.
4
Solve -4*n - g = -9, -47 = -3*n + 241*g - 236*g for n.
4
Solve 2 = 4*f + 2*c, 78*f - 82*f - 3 = 3*c for f.
3
Solve 29 = 4*t - 5*o, 2544*t + 21 = 2540*t - 5*o for t.
1
Solve 9 = 29*j + 3*f + 163, 0 = 3*f + 9 for j.
-5
Solve -20*p = -4*t - 12, 0 = p - 3*t + 27 - 22 for p.
1
Solve 2*a - 18 = 2*o, -12 = -5*a + 2*o + 3 for a.
-1
Solve -18*v + 6*v + 8*v - 4 = 4*i, -5*v + 13 = 2*i for v.
5
Solve 5*d = -4 + 29, 0 = -5*n - 4*d + 45 for n.
5
Solve 2*y = k - 5, 777*k = 773*k - 4*y - 16 for k.
-1
Solve -25*b + 23*b = -6, -3*m - 18 = -2*b for m.
-4
Solve 3*j + 4 = 22*x - 26*x, -3*x - 24 = -3*j for j.
4
Solve -24 = 5*f + h, -14*f + 3*h - 33 = -8*f for f.
-5
Solve q = -4*y + 23, 372 - 396 = 2*q - 2*y for q.
-5
Solve -f - 17 = -5*r, 258*r - 261*r - f + 7 = 0 for r.
3
Solve 2*m - 20 + 4 = -2*z, -3*m - 1 = -2*z for m.
3
Solve -16*g - 85 + 19 = -2666*k + 2668*k, 4*k + 4*g = 8 for k.
7
Solve -2666*r - 28 = -3*u - 2662*r, 4*r = -5*u + 4 for u.
4
Solve -4*f - 29 = j, -18*f - j = -15*f + 24 for f.
-5
Solve 2454*q + 3*w = 2458*q, 4*q - 4 = 2*w for q.
3
Solve -71*y - 5 = -4*h - 70*y, -8*h - 2*y - 10 = 0 for h.
0
Solve 2*y + 18 = -71*r + 74*r, 5*r - 5*y - 35 = 0 for r.
4
Solve 3*i - 129 = -39*o, 5*i + 2 = -4*o + 34 for o.
3
Solve -a = -b + 3, -4*a - 11 = b + 11 for b.
-2
Solve 0 = 4*k + 4*b + 8, -10*k - 4*b - 1 = 7 for k.
0
Solve -j + 13 = 4*f - 0*j, -44 = -5*f + 8*j for f.
4
Solve -145*j = -107*j - 5*m + 177, 6 = -4*j - 2*m - 0*m for j.
-4
Solve -3*k = 6*v - 249 + 312, -2*k - v - 36 = 0 for k.
-17
Solve 0 = 4*q + 78*m + 452, 16 = -2*q - 2*m + 12 for q.
4
Solve -318*z = -323*z + 2*d + 12, -12 = -2*z + 2*d for | {
"pile_set_name": "DM Mathematics"
} |
12. Suppose -4*t - 7 - 91 = -2*u, h*u + 5*t = 131. What are the prime factors of u?
3, 13
Let l(m) = m**3 - 11*m**2 + 10*m - 6. Let j be l(10). Let q(w) = -4*w**2 + 5 + 9*w - 2*w**3 + 6 + w**3 - 2. List the prime factors of q(j).
3
Let o(t) = -4*t**2 + 8*t**3 + 5*t**3 - 14*t**3 - 3*t. Let d be o(-7). List the prime factors of d/(-4)*1/(-3).
2, 7
Suppose -1 + 3 = 4*v + 5*k, 0 = v - 5*k - 13. Suppose -2*f - 498 = -5*j, v*j + f = -f + 302. List the prime factors of j.
2, 5
Suppose 17*b - 45 = 14*b. Suppose -36 = -3*y + b. Suppose x - y = 16. What are the prime factors of x?
3, 11
Let b = -130 + 170. List the prime factors of b.
2, 5
Let r = -34 + 25. Let t = r + 15. Suppose t*d - 27 = 213. List the prime factors of d.
2, 5
Let u = -1245 + 2992. List the prime factors of u.
1747
Let d(c) = 4*c. Let f be d(-3). Let k = f - 0. List the prime factors of k/4 - -4 - -53.
2, 3
Let z = 50 + -45. Suppose 73 - z = c. What are the prime factors of c?
2, 17
Let x(t) = 21*t - 9*t - 14*t + t**2 + 2. What are the prime factors of x(2)?
2
Suppose -15*w + 9*w = -4866. What are the prime factors of w?
811
Suppose -4*v = 4*v - 40. What are the prime factors of (v/(-2) + 3)*8*9?
2, 3
Let f(a) = a**2 - 14*a + 452. What are the prime factors of f(0)?
2, 113
Let u(w) = -w**3 - w**2 - w. Let z be u(0). What are the prime factors of 3 + 1 + 83 + z/2?
3, 29
Let d be 282/10 + (-4)/20. Let q be -1*(-3)/(6/4). Suppose -q*l - 6 = -d. What are the prime factors of l?
11
Let j = 1289 - 887. Suppose g - 88 = -4*a, -11*g + 8*g + 228 = 3*a. Suppose 5*c - j = -g. List the prime factors of c.
2, 3, 11
Let u = 897 - 33. What are the prime factors of u?
2, 3
Let z = 31 + -26. Suppose 6*n + 140 = 2*h + 8*n, 336 = z*h - 2*n. Suppose -3*k + h = -61. List the prime factors of k.
43
Suppose -22*r + 928 = -20*r + 5*w, -4*w = -16. What are the prime factors of r?
2, 227
Let g be (1 - -2)/((-3)/4). Let i be -5 - g - (-1 + 3). Let s = i + 17. List the prime factors of s.
2, 7
Let c(r) = -r + 6. Let o be c(5). Suppose -q = o, -3*q - q - 540 = -4*w. List the prime factors of w.
2, 67
Suppose 3*d = 5*d + 3*j + 5, 12 = 3*d - 2*j. Suppose 14 = 4*l + 2. Suppose -2*a = 4*s - 48, -105 = -l*a + 7*s - d*s. List the prime factors of a.
2, 3, 5
Let p = -335 - -627. Suppose -206 = -3*i + p. Suppose 34 - i = -4*a. List the prime factors of a.
3, 11
Let b be (-153)/3*(-1)/3. Suppose -4*z + 16 = -3*z. Let j = z + b. List the prime factors of j.
3, 11
Suppose 3*l - 5*l + 4 = 0. Suppose -l*h + 4*b - 15 + 5 = 0, 8 = -h + 3*b. What are the prime factors of h - 4 - (-6 + -12)?
3, 5
Suppose 236*q - 285*q + 229271 = 0. List the prime factors of q.
4679
Let z(h) = 9 + h + 92 + 0 + 0*h + 3*h**3. List the prime factors of z(0).
101
Let k(a) = -7*a**2 + 6*a - 31. Let z(d) = 8*d**2 - 7*d + 30. Let v(p) = 6*k(p) + 5*z(p). Let m be v(0). List the prime factors of (-5)/(15/m) + 4.
2
Let x(j) = j**3 - 30*j**2 + 26*j - 58. List the prime factors of x(30).
2, 19
Let w(s) = -2*s + 23. Let o be w(15). Let g(u) = -2*u**2 - 3 + 3*u**2 + 8*u + 12. List the prime factors of g(o).
2
Suppose -4*f + 112 = 2*r, -r - f + 64 = 3*f. Let y be 3/(44/r + -1). List the prime factors of (y/30)/((-2)/30).
2, 3
Let d = 1658 + 348. What are the prime factors of d?
2, 17, 59
Let k be (-207)/(-2 + (-20)/(-16)). Suppose -2*o = -6*o + k. What are the prime factors of o/9 + 2/(-3)?
7
Let r(x) = x**3 - 7*x**2 + x - 8. Let k be r(7). Let z(h) = 5*h**2 - h - 2. Let n be z(k). What are the prime factors of n + -1 + (16 - -4)?
23
Let x = -547 - -641. What are the prime factors of x?
2, 47
Suppose -3*z = -o - 4770, 13*z - 18*z + o = -7950. List the prime factors of z.
2, 3, 5, 53
Let t = -11 - -26. Let c(l) = l**3 - 14*l**2 - 10*l. List the prime factors of c(t).
3, 5
Let r be 4/2 + (-2 - (8 + -7)). Let l(n) = -108*n**3 - n**2 - 3*n - 2. List the prime factors of l(r).
2, 3
Let q(y) = 3*y**2 - 5*y - 26. Let f(d) = d**3 + 4*d - 7. Let j be f(2). List the prime factors of q(j).
2, 43
What are the prime factors of (1 - 4)/(36710/7345 + -5)?
13, 113
Let z(i) = i**2 - 9*i + 11. Let m be z(8). Suppose -6 + 0 = -m*g. Suppose x + 2*x + 26 = k, g*k = 5*x + 53. What are the prime factors of k?
29
Let i be -2*(-1)/2*11. Let r = -10 + i. Let h(c) = 7*c. List the prime factors of h(r).
7
Suppose 12*y = 2*y + 3530. List the prime factors of y.
353
Let n be 8 - ((2 - 6) + 6). Suppose -1 + 7 = n*m. Let l = 10 + m. List the prime factors of l.
11
Let c(w) = -5*w + 7. Let j(g) = -g. Let a(h) = -2*c(h) + 4*j(h). Let r be a(7). Suppose 14 = b + b + 3*d, -4*b - 5*d = -r. List the prime factors of b.
7
Let b be 31/(-3 - (-3 - 1)). Suppose 2*n + 26 = 4*h, 5*n - 5*h + 46 = -34. Let q = n + b. List the prime factors of q.
2, 3
Let d(z) = z**3 + 37*z**2 + 85*z + 89. What are the prime factors of d(-33)?
2, 5, 41
What are the prime factors of ((-108)/(-144))/((-12)/(-7136))?
2, 223
Suppose r - 715 = 1711. What are the prime factors of r?
2, 1213
Let i(g) = -g + 1. Let d(s) = -10*s + 9. Let n(r) = -d(r) - 4*i(r). Let k be n(5). Suppose 8 - 89 = -o + 5*u, -u = o - k. List the prime factors of o.
61
Suppose 2*z + 12 = 3*o, 7 = 2*o - 0*z - z. Suppose -o = -0*w - w. What are the prime factors of -3*10*(-1)/w?
3, 5
Suppose -216 = -w - 2*r, -r + 109 = w - 102. List the prime factors of w.
2, 103
Let w = 17 - 14. Let f be 65 + w/((-6)/4). Let j = -30 + f. List the prime factors of j.
3, 11
Suppose -4*a = -2*a. Suppose 9*p - 4*p - 4*m - 27 = a, 0 = -4*m - 12. Suppose v + 56 = 4*h, 6*h - p*h - 4*v - 55 = 0. List the prime factors of h.
13
Suppose 4*s - 5*a - 9782 = 0, 16*s + 7319 = 19*s + 5*a. What are the prime factors of s?
7, 349
Let z = 27 + -25. Suppose -h + 5*o + 39 = 2*h, -45 = -z*h - 3*o. What are the prime factors of h?
2, 3
Let y(n) be the second derivative of n**5/20 - n**4/4 + n**3/6 + n**2/2 - 3*n. Let i be y(2). What are the prime factors of 48*(i/3)/(-1)?
2
Let k(y) be the first derivative of 14*y**2 - 5*y - 14. List the prime factors of k(4).
107
Suppose 1215 = 3*k + 5*b, -4*k + 2*b - b + 1620 = 0. What are the prime factors of k?
3, 5
Suppose 2*y + 5*a - 1237 - 1841 = 0, 2*a - 4617 = -3*y. List the prime factors of y.
3, 19
Suppose -2*r = -0*r - 10. Suppose 3*o + 10*h - 9*h - 198 = 0, -310 = -5*o + r*h. What are the prime factors of o?
5, 13
Suppose 0 = -2*r + 2*u - 4*u + 4328, 2*u - 8666 = -4*r. What are the prime factors of r?
3, 241
Suppose 41*j - 43*j - 4*a = -3448, -4*a = 3*j - 5182. What are the prime factors of j?
2, 3, 17
Suppose 0 = i - 3*v - 19, 3*i - 3*v - 14 = 25. Suppose -i = -0*h + h. Let j = 4 - h. List the prime factors of j.
2, 7
Let f(w) = 2*w - 9. Let u be f(7). Suppose -3*m = 3, 0*m + u*m = v - 8. What are the prime factors of v/((-36)/(-51))*4?
17
Let k = -68 - -74. List the prime factors of k/8 - 441/(-4).
3, 37
Suppose -6*t + 10*t - 40 = 0. What are the prime factors of 10/t - -1*24?
5
Suppose -4*m - 2*g = 18, 0*m + 3*g = -3*m - 21. What are the prime factors of (-3 - -1)*(m + -17)?
2, 19
Suppose c = 4*z - 122, -5*z + 4*c - 3*c + 152 = 0. Suppose 2 = -2*r + z. What are the prime factors of 12/(-42) - (-340)/r?
2, 3
Let l(c) = -2*c + 0*c**2 - 2*c + c**2 - 3 + 0*c**2. Let n be l(5). Suppose 276 = 4*u + 2*b, n*b - 187 = -5*u + 160. List the prime factors of u.
71
Let q = 387 + -61. What are the prime factors of q?
2, 163
Let l(b) = -9*b**2 - 10 + 4*b**3 - 5*b - 2*b**3 + 4*b - 3*b**3. Let v be l(-9). What are the prime factors of 12/3*v/(-2)?
2
Suppose 3*y - 9 = 3. Let f = 56 - 52. Suppose 72 = y*x - f. List the prime factors of x.
19
Let g(x) = 7*x + 30. Let j(f) = 13*f + 61. Let k(a) = -5*g(a) + 2*j(a). What are the prime factors of k(-12)?
2, 5
Let t = 5 + -5. Suppose -4*k = -t*k - 12. Suppose 0 = k*u - 0*u - 69. List the prime factors of u.
23
Suppose 2*a - 83 = -l, l - 26 = 4*a + 27. Let f = l - 4. List the prime factors of f.
3, 23
Let v(z) = z**2 - 14. Let g be v(-4). Suppose -g*o + 100 + 69 = -p, 2*p = -4*o + 326. What are the prime factors of o?
83
Suppose -3*r + 18 = -1800. Let c = -333 + r. What are the prime factors of c?
3, 7, 13
Suppose -o + 1324 = a + 253, 0 = -4*a + 2*o + 4308. List the prime factors of a.
5, 43
Let b = 932 + -278. Suppose 3*x - 7*x = 4*a - 664, 0 = 4*x - a - b. What are the prime factors of x?
2, 41
Let c be 2 + (-94)/(- | {
"pile_set_name": "DM Mathematics"
} |
power of 1/10, to the nearest integer?
4
What is the square root of 1258685 to the nearest integer?
1122
What is 258963 to the power of 1/2, to the nearest integer?
509
What is the square root of 419501 to the nearest integer?
648
What is 5677115 to the power of 1/6, to the nearest integer?
13
What is the seventh root of 3128305 to the nearest integer?
8
What is 17743312 to the power of 1/2, to the nearest integer?
4212
What is 27042831 to the power of 1/2, to the nearest integer?
5200
What is the tenth root of 327545 to the nearest integer?
4
What is 1211598 to the power of 1/10, to the nearest integer?
4
What is the square root of 19803576 to the nearest integer?
4450
What is the fifth root of 6605130 to the nearest integer?
23
What is the tenth root of 619029 to the nearest integer?
4
What is the seventh root of 27529688 to the nearest integer?
12
What is the square root of 2365227 to the nearest integer?
1538
What is the fourth root of 367298 to the nearest integer?
25
What is the fifth root of 530799 to the nearest integer?
14
What is the cube root of 11765150 to the nearest integer?
227
What is the cube root of 184222 to the nearest integer?
57
What is the cube root of 16713312 to the nearest integer?
256
What is 85111 to the power of 1/2, to the nearest integer?
292
What is 2488691 to the power of 1/3, to the nearest integer?
136
What is 16325 to the power of 1/2, to the nearest integer?
128
What is the sixth root of 226649 to the nearest integer?
8
What is 331814 to the power of 1/8, to the nearest integer?
5
What is 2804948 to the power of 1/7, to the nearest integer?
8
What is 98260 to the power of 1/6, to the nearest integer?
7
What is the cube root of 1053816 to the nearest integer?
102
What is 11773718 to the power of 1/9, to the nearest integer?
6
What is 11235717 to the power of 1/6, to the nearest integer?
15
What is 50324 to the power of 1/2, to the nearest integer?
224
What is the sixth root of 1514373 to the nearest integer?
11
What is the third root of 2558371 to the nearest integer?
137
What is the square root of 217223 to the nearest integer?
466
What is 5424515 to the power of 1/4, to the nearest integer?
48
What is the square root of 6404672 to the nearest integer?
2531
What is the ninth root of 3331884 to the nearest integer?
5
What is 613551 to the power of 1/8, to the nearest integer?
5
What is 574410 to the power of 1/3, to the nearest integer?
83
What is 367368 to the power of 1/3, to the nearest integer?
72
What is the third root of 306114 to the nearest integer?
67
What is the fifth root of 89979 to the nearest integer?
10
What is the ninth root of 154156 to the nearest integer?
4
What is the cube root of 375074 to the nearest integer?
72
What is the square root of 855926 to the nearest integer?
925
What is 155969 to the power of 1/2, to the nearest integer?
395
What is the tenth root of 13792455 to the nearest integer?
5
What is 620271 to the power of 1/3, to the nearest integer?
85
What is 108979 to the power of 1/10, to the nearest integer?
3
What is 11781896 to the power of 1/3, to the nearest integer?
228
What is 413285 to the power of 1/3, to the nearest integer?
74
What is 2421667 to the power of 1/2, to the nearest integer?
1556
What is 1076466 to the power of 1/6, to the nearest integer?
10
What is 20878283 to the power of 1/10, to the nearest integer?
5
What is 4980779 to the power of 1/2, to the nearest integer?
2232
What is the fourth root of 5203874 to the nearest integer?
48
What is the square root of 415739 to the nearest integer?
645
What is the cube root of 92006 to the nearest integer?
45
What is 4419510 to the power of 1/2, to the nearest integer?
2102
What is the square root of 579332 to the nearest integer?
761
What is the cube root of 199920 to the nearest integer?
58
What is the third root of 790510 to the nearest integer?
92
What is the ninth root of 5551020 to the nearest integer?
6
What is the cube root of 347572 to the nearest integer?
70
What is the tenth root of 2429902 to the nearest integer?
4
What is 537347 to the power of 1/3, to the nearest integer?
81
What is the eighth root of 573885 to the nearest integer?
5
What is the ninth root of 30424913 to the nearest integer?
7
What is 5992241 to the power of 1/5, to the nearest integer?
23
What is the third root of 554530 to the nearest integer?
82
What is 1735022 to the power of 1/6, to the nearest integer?
11
What is 2323788 to the power of 1/10, to the nearest integer?
4
What is the fourth root of 188577 to the nearest integer?
21
What is 29210 to the power of 1/3, to the nearest integer?
31
What is 3748127 to the power of 1/2, to the nearest integer?
1936
What is 5888255 to the power of 1/2, to the nearest integer?
2427
What is the cube root of 52977 to the nearest integer?
38
What is the third root of 2092660 to the nearest integer?
128
What is the third root of 1535686 to the nearest integer?
115
What is the square root of 1285678 to the nearest integer?
1134
What is the square root of 5970575 to the nearest integer?
2443
What is the fifth root of 1634685 to the nearest integer?
17
What is 289437 to the power of 1/4, to the nearest integer?
23
What is the square root of 29879 to the nearest integer?
173
What is the square root of 4231052 to the nearest integer?
2057
What is 529209 to the power of 1/5, to the nearest integer?
14
What is 19061856 to the power of 1/3, to the nearest integer?
267
What is the square root of 299124 to the nearest integer?
547
What is 134120 to the power of 1/2, to the nearest integer?
366
What is the seventh root of 312313 to the nearest integer?
6
What is the square root of 1037095 to the nearest integer?
1018
What is 41080861 to the power of 1/3, to the nearest integer?
345
What is 625986 to the power of 1/2, to the nearest integer?
791
What is the ninth root of 15260242 to the nearest integer?
6
What is 12946783 to the power of 1/9, to the nearest integer?
6
What is the seventh root of 1262570 to the nearest integer?
7
What is the fourth root of 2052806 to the nearest integer?
38
What is the square root of 1047273 to the nearest integer?
1023
What is the square root of 393213 to the nearest integer?
627
What is 125715 to the power of 1/8, to the nearest integer?
4
What is 3105757 to the power of 1/2, to the nearest integer?
1762
What is the square root of 6537781 to the nearest integer?
2557
What is the square root of 4379716 to the nearest integer?
2093
What is the fifth root of 118050 to the nearest integer?
10
What is 7346682 to the power of 1/7, to the nearest integer?
10
What is the square root of 4457195 to the nearest integer?
2111
What is 1494453 to the power of 1/2, to the nearest integer?
1222
What is 2799077 to the power of 1/2, to the nearest integer?
1673
What is 20457215 to the power of 1/3, to the nearest integer?
273
What is 5546890 to the power of 1/2, to the nearest integer?
2355
What is the cube root of 14775850 to the nearest integer?
245
What is the fifth root of 120701 to the nearest integer?
10
What is the cube root of 2870330 to the nearest integer?
142
What is 2095438 to the power of 1/2, to the nearest integer?
1448
What is 5307746 to the power of 1/2, to the nearest integer?
2304
What is the square root of 25586428 to the nearest integer?
5058
What is the square root of 210676 to the nearest integer?
459
What is 2410348 to the power of 1/7, to the nearest integer?
8
What is 6610576 to the power of 1/4, to the nearest integer?
51
What is the cube root of 14351091 to the nearest integer?
243
What is the square root of 2075081 to the nearest integer?
1441
What is 16620380 to the power of 1/2, to the nearest integer?
4077
What is 3248989 to the power of 1/8, to the nearest integer?
7
What is 281627 to the power of 1/5, to the nearest integer?
12
What is the cube root of 1622079 to the nearest integer?
117
What is the sixth root of 14311822 to the nearest integer?
16
What is the cube root of 37373 to the nearest integer?
33
What is the fifth root of 570385 to the nearest integer?
14
What is the fifth root of 219104 to the nearest integer?
12
What is 19454445 to the power of 1/2, to the nearest integer?
4411
What is the square root of 19803578 to the nearest integer?
4450
W | {
"pile_set_name": "DM Mathematics"
} |
2
a
Let i = -202 + 225.8. Let m = -23.5 + i. Let v = 0.11 - 0.23. What is the closest to v in m, 3/2, 5?
m
Let i be (45080/525)/92 + (4/6)/(-2). Which is the closest to 1? (a) 43 (b) 2/7 (c) i (d) -0.04
c
Let f = 4/955 + 1842/16235. What is the closest to 1/3 in 0.3, f, 58, -2/3?
0.3
Let l = -20.47 - -20.77. What is the closest to -50 in l, -0.2, 5, 4?
-0.2
Let p = -134.3 + 134.38. Which is the closest to p? (a) -0.1 (b) 3 (c) 5 (d) 0.4
a
Let f = -2651/7 - -2648/7. Let l = -0.2 + -1.8. What is the nearest to 2.2 in -5, f, l?
f
Let m = -6 + 2. Let k = -1.226 - -1.246. Which is the closest to -2/11? (a) m (b) 5/2 (c) k
c
Let z = -2.1323 + -0.0677. Which is the nearest to -0.29? (a) -0.1 (b) z (c) 0
a
Let y = 14921/4 + -3732. Which is the nearest to y? (a) -5 (b) -4 (c) -0.1 (d) 6/11
c
Let f = 267 - -185. Let v = f + -449. Which is the nearest to -1? (a) v (b) 4 (c) -4
c
Suppose -5*g + 2*l - 36 = 0, -2*l = -5*g + l - 39. Let v be 0/(((-9)/(-6))/((-3)/g)). What is the closest to v in 3, 2, -0.04?
-0.04
Let m = 0 + 0.3. Let z = 401.0686 - 401. Let w = z + 2.9314. Which is the closest to m? (a) w (b) -0.6 (c) -3/8
c
Let d = -42 + 41.9. Which is the closest to d? (a) 1 (b) 123/4 (c) 0.3
c
Let l be 1622/714 + 20/35. Let z = 54/17 - l. Which is the nearest to -1? (a) 0.2 (b) -4 (c) z
a
Suppose 21 = 3*c - 7*c - 3*f, -17 = 3*c + f. Let t be c - (-1755)/275 - (-4)/(-22). What is the nearest to t in 1/5, 0.5, -0.02?
1/5
Let p = -171 + 168. Let h = -0.63 + 55.63. Let t = h + -51. What is the closest to t in p, 1, 5/3?
5/3
Let w = 4663/39 - 1550/13. What is the nearest to 1/4 in -0.546, w, 1?
w
Let s = 14.1 - 12.1. Let i be 9/(-108) + 1/4. Suppose 0 = -z + 4 - 5. Which is the closest to -0.1? (a) z (b) i (c) s
b
Let q = -56 - -278/5. Let z = -40.8 - -24. Let v = z + 16.7. Which is the closest to v? (a) -2/3 (b) q (c) 3/4
b
Let i = 93.4079 - 0.3579. Let r = i + -93. Let t = 1.1 + -1. Which is the nearest to -2/7? (a) r (b) 0 (c) t
b
Let i be (-33)/27 + (-2)/(-2). Let w = -132 + 365. Let s = 232 - w. Which is the nearest to s? (a) -0.3 (b) i (c) 4
a
Let k = -1.37 - -1.47. Suppose 34*i + 100 = 14*i. Which is the nearest to -2/3? (a) k (b) -0.9 (c) -3 (d) i
b
Let l(v) = -3*v**2 - 56*v - 36. Let r be l(-18). Suppose r = -23*i + 7*i. What is the closest to -4 in i, -5, -1/2, 2/7?
-5
Let x = -3655 - -3655.77. Let s = -4.684 + -0.086. Let j = s + x. Which is the closest to 0.2? (a) 0.4 (b) j (c) -5
a
Let x = 31/5 - 227/35. Let g = -140332 - -140335. Which is the closest to -1? (a) 8 (b) -1 (c) g (d) x
b
Suppose 5*p - 607 = 4*n, -4*n = -3*p + 24 + 345. Suppose -p*x + 123*x = -4. Let v = 47.7 + -48. Which is the closest to x? (a) v (b) 2/7 (c) 6/13
a
Let c = -80/57 + 14/19. Let j = -0.122 + 7.822. Let v = -7.5 + j. What is the closest to c in v, -5, -1/3?
-1/3
Suppose 0 = -2*p - 0*p. Let z = -251 - -253. Let k be 32/15 - (0 + p + z). Which is the closest to -1/2? (a) 0.2 (b) 0 (c) k
b
Let t be (0 - 98/(-63))/(3430/735). Let d = 13 - 18. Suppose 5*l + 10 = -0*l. What is the closest to t in l, d, 1?
1
Let q = -37.16 + 30.16. What is the nearest to -2 in -1, q, 2/9?
-1
Let o = 14021 + -14013. What is the nearest to 1/3 in -4, 2, o?
2
Let j = -33.8775 + -0.0225. Let g = 38.9 + j. Which is the nearest to g? (a) 0.2 (b) -0.3 (c) 0.5
c
Let u be 5/7*(1/6)/((-15)/(-24)). Which is the closest to -0.1? (a) 4/3 (b) u (c) -3/7 (d) 1
b
Suppose 0 = -3*r - 4*s + 13, 4*r - s + 24 = 4*s. Let f = -0.01288 - 0.98712. Which is the nearest to r? (a) 2 (b) 0.1 (c) f
c
Let g be (55/(-10) - (-5 - -2)) + 4. Which is the nearest to -8/11? (a) 0.3 (b) g (c) -6/5
c
Let m be 10/(-24) - (-2)/3. Suppose 13*t = 2*t - 22. Let v be -3 + 3 + 2 - (-10)/t. What is the nearest to m in -2, 6/11, v?
6/11
Let k = 1199/1589 + -74/227. Which is the closest to 0.3? (a) k (b) -8/7 (c) -4
a
Let h = -1.119 - -2.119. Let q = 0.3 + -1.2. Let j = -5.9 - q. What is the closest to -1/3 in h, 0.5, j?
0.5
Let v = 6 - -78. Suppose s + v = -5*n + 254, 34 = n - 3*s. Let h = n + -33. What is the closest to h in -3, 1/3, -1/9?
1/3
Let v = -0.5088 + 0.3088. Which is the nearest to 1/17? (a) v (b) -2/11 (c) -2/7
b
Let d = -2032 + 2031. What is the nearest to d in 0.5, 2/17, 1, -1.9?
-1.9
Let k(m) = 305*m - 1826. Let r be k(6). Let h = 1.7 + -1.5. Which is the closest to r? (a) -3 (b) 5 (c) h
b
Let x = -2002 + 1998. Let t = 1 + -0.6. What is the nearest to -6 in t, x, -3?
x
Let r be -1 + ((-14)/(-12) - 0). Let n = 1277 - 1277.0827. Let q = n + 0.2827. Which is the nearest to -9? (a) -3/4 (b) q (c) r
a
Let z = -119/9 - -13. Which is the closest to -0.2? (a) 7 (b) 0.07 (c) -2 (d) z
d
Let g be (-2)/(-8)*(2 - 0). Let s = 190.74 + -188. Let t = -2.34 + s. Which is the closest to g? (a) t (b) 4/5 (c) -0.1
a
Let n be -3*30/4*(-110)/495. Let k be (-16)/(-8) + 10/6. Which is the closest to k? (a) -4 (b) n (c) -3
b
Suppose -5*d + 19 = -w, -234*d - 15 = -231*d - 5*w. Which is the nearest to -0.1? (a) -289 (b) d (c) -4
c
Let m = -0.17 - -0.1. Let y = -1.93 + m. Let v = -0.3154 + -0.0846. Which is the nearest to y? (a) -0.3 (b) -1/2 (c) v
b
Let s = -516 + 516.2. Which is the closest to -2/19? (a) s (b) 0 (c) -0.4 (d) 2/9
b
Let i = 787/12065 - 8/635. Which is the nearest to -1/4? (a) 1/3 (b) 8 (c) i
c
Let r = 0.05442 + 3.94558. Which is the closest to -494? (a) 3 (b) r (c) 1
c
Let s be (-18)/((-324)/(-15))*(-3)/(-4). Let a = -240.9 + 255. Let x = -14 + a. What is the nearest to x in -2/7, 5, s?
-2/7
Let q = -2 - 2. Let r = 38.65 - 43. Let g = r + -0.65. What is the nearest to -2/7 in q, g, 3?
3
Let j be (-10)/(-30) - 2/6. Suppose -4*u - 11 + 19 = j. Let y be u + (-33)/18 + (-3)/(-6). What is the closest to y in -4, 2, 0.5?
0.5
Let g = 106 - 62. Let x(w) = 66*w + 11712. Let k be x(-178). Let r be g/(-36) + (-2 - 80/k). What is the closest to r in 1, -17, 0?
0
Let q = 0.38 + -0.08. Let k = 0.1 - -2.9. Let d = -578177/5 - -115635. Which is the closest to d? (a) q (b) 1 (c) k
a
Let n be (2/(-7))/(2/(-4)) - (-1748)/(-3990). Which is the nearest to -1? (a) 4 (b) -0.2 (c) -110/3 (d) n
b
Let q = 46079 + -46077. What is the nearest to 2 in -1/2, -34, q, -1?
q
Let s = -33 - -40. Let u be (-38)/16 + -5 + s. Let x be 6/6*(-2)/12. Which is the closest to u? (a) x (b) 4 (c) 1/4
a
Let t = 3443 + -3749.17. Let k = t - -306. Which is the closest to 0? (a) -5 (b) k (c) 4
b
Let c(o) = -1149*o - 469945. Let w be c(-409). Let i = 0.2 - 0.1. Let q = -2.5 - -0.5. What is the nearest to 0.4 in i, q, w?
i
Let r = 25.097 + -25.397. Let y = -1/97 - 286/485. What is the closest to r in y, 6, -0.2?
-0.2
Let x = -0.03135 + 3.03135. What is the nearest to 1/4 in 0.1, 73, x?
0.1
Let j = -20.2 - -19.2. Let i = 0.87 - 0.07. Let k = -0.2 - i. What is the closest to j in -4, k, 0?
k
Let i(m) = 6*m - 33. Let w(u) = 7*u - 32. Let l(h) = 5*i(h) - 4*w(h). Let s be l(20). Let j = -23 + 20. Which is the nearest to j? (a) -0.2 (b) s (c) 12
a
Let z = -261.43 + 260. Let d = z - -0.43. Let l be (-2)/6*6/(-19). Which is the closest to -2/7? (a) 1 (b) l (c) d
b
Let t(f) = -112*f + 484. Let l be t(4). Which is the closest to 5? (a) -0.1 (b) l (c) -1
a
Let t be 10/(-4)*(0 - -2). Let h = 13.17114 + -13.17114. Which is the nearest to h? (a) -0.8 (b) -2 (c) t (d) -3
a
Suppose 2*r - 4*p = 2, 0*p + 5*p - 11 = -2*r. Which is the closest to 0? (a) -0.1 (b) r (c) 1.11
a
Let x be -2*(-6 + 94/16). Let n = 96 - 482/5. Which is the nearest to x? (a) n (b) -1/6 (c) 1/10
c
Let h = 15 - 25. Let s = -517 + 516.931. Let z = -0.231 + s. What is the closest to 0 in -3, h, z?
z
Let x = -0.52503 - -0.02503. What is the closest to -2/5 in -0.09, 1, x?
x
Let m = 1.9 - -0.1. Let j be 12/(-8) - 9/2. Let u be (j/(-28))/(((-18)/(-8))/(-3)). What is the closest to 1/3 in m, u, -2?
u
Let g = 7 + -4. Let j = -0.03 + 0. Which is the nearest to j? (a) -1 (b) 4 (c) g
a
Let s = 960/13 - 74. Suppose -5*g - 16 = b - 6, 0 = -g - 4*b - 2. Let z be 8/((-96)/(-18))*20/(-6). What is the closest to g in s, -1/5, z?
-1/5
Let w(r) = 3*r**3 + 31*r**2 + 29*r - 66. Let v be w(-9). Let n = 4/3 - 2. Which is the closest to -2/5? (a) v (b) 0 (c) -2 (d) n
d
Let z = -101 + 223. Let l = -1721. | {
"pile_set_name": "DM Mathematics"
} |
g + 14. What is the units digit of n?
0
Suppose -7 = o - 3*v - 36, o = -4*v + 1. Suppose o*b - 110 = 12*b. What is the tens digit of b?
2
Let d = 5344 - 3143. What is the units digit of d?
1
Suppose -14 + 4 = 5*d. Let f(r) = 48*r**2 + 2*r + 4. Let g be f(d). Suppose g = 9*i - 3*i. What is the units digit of i?
2
Let m = 35 + -31. Suppose -f + 244 = 3*f + 4*i, -m*i - 110 = -2*f. What is the tens digit of f?
5
Let b(v) = -v**3 + 13*v**2 - 7*v - 11. What is the units digit of b(9)?
0
Suppose 4*x = 5 + 7. Suppose -5*m + 8*m + x = 0. What is the tens digit of (m - -2)/((-2)/(-34))?
1
What is the units digit of 0 - (-208)/(-3)*-12?
2
Let j(g) = 3*g - g + 2*g + 277*g**2 + 4. What is the units digit of j(-1)?
7
Suppose 0 = 3*t, 0 = -3*d + 2*t - 6*t + 1206. What is the units digit of d?
2
Suppose -4*q = -4*l - 60, 0 = -2*l + 3*q + 2*q - 39. What is the tens digit of (318/l)/((-3)/6)?
5
Let i(x) = 2*x**2 - 65*x - 246. What is the tens digit of i(60)?
5
What is the hundreds digit of (446/(-5) - -2)/(26/(-65))?
2
Let c be (3 - 0)*(-20)/(-30). Suppose -5*p - 5*p = -6*p. Suppose 3*u + 5*b = 2*b + 15, p = 5*u + c*b - 34. What is the units digit of u?
8
Let o = 11 - 8. What is the units digit of (-580)/(-30)*o/2?
9
Let n = -156 + 241. Suppose -171 = -2*s + n. What is the units digit of s?
8
Suppose 0 = -b + 1, 23 = 5*o - 2*b - 0*b. Suppose -13*w - o = -14*w. Suppose 5*s = w*i + 310, -4*s - 4*i + 4 = -244. What is the units digit of s?
2
Let l = 50 - 51. What is the units digit of (l - 1) + 68 - -1?
7
Let x(m) = -27*m**3 - 6*m**2 - 11*m - 30. What is the thousands digit of x(-4)?
1
Let c be 1*(-4 + 5)/1. What is the tens digit of (-38 - 15)*c*-1?
5
Let p be ((-4)/(-8))/((-2)/(-336)). Suppose -8*h - p = -12*h. What is the tens digit of h?
2
Suppose -47*t + 3*t + 145816 = 0. What is the thousands digit of t?
3
Let s = 11 - 9. What is the tens digit of s + 71 + (0 - 4)?
6
Let i(j) = 2*j**2 - 2*j + 2. Let y be i(10). Suppose -7*d + 4*d = -12. Suppose 4*r + y = 5*f + 42, 112 = d*f + 4*r. What is the units digit of f?
8
Suppose -4 = -2*q - 0. Let n = -4 + q. What is the units digit of 2 + -3 + n + 5?
2
Let l be (-429)/(-22) - (-1)/(-2). Suppose i - l = -3*q, 0*q - 3*q = 3*i - 27. What is the units digit of q?
5
Suppose -4*g + 1155 = -u, g + u - 282 = -u. Suppose 0 = -4*x - 4*y + g, -4*x + 318 = -y - y. What is the tens digit of x?
7
Suppose 2*v = -3*v - 140. Let d be (0 - 7)*8/v. Suppose g + 4*b = -1 + 17, 0 = d*g - b - 32. What is the tens digit of g?
1
Suppose -q + 55 = 4*q. Suppose -q*j - 24 = -178. What is the units digit of j?
4
What is the hundreds digit of (-831520)/40*(-3)/12?
1
Suppose -5*r - 2*u + 789 = 0, 0*r - 2*r - 4*u + 322 = 0. What is the units digit of r?
7
Suppose -3*j + 80 = 2*j. Suppose -6*p = -j - 2. Suppose 5*o - b - 4*b = 130, p*b - 9 = 0. What is the units digit of o?
9
Suppose 5*n - 3 = 4*h - 3*h, -1 = -n. Suppose -t = h*t - 18. Let c(z) = z**3 - 4*z**2 - 7*z + 4. What is the tens digit of c(t)?
3
Let u(s) = s**2 - 15*s + 12. Let z be u(14). Let q = 15 + z. What is the tens digit of q?
1
Suppose 10*v = -30 - 0. What is the tens digit of (2 + v - -75)*1?
7
Let r be (3/(-2) + 2)*2. Suppose 3*b + 12 = -y - r, 3*y = -2*b - 18. What is the units digit of y/(-1)*12/6?
8
Let j = 3706 - 397. What is the hundreds digit of j?
3
Let z = -530 + 899. Let o = 630 - z. What is the tens digit of o?
6
Suppose -4*a - 10*m + 13*m + 5799 = 0, 0 = -5*a + 2*m + 7247. What is the tens digit of a?
4
Let b(o) be the second derivative of o**4/12 + o**3/2 + 8*o**2 + 11*o. Let i be b(-6). Suppose 30*w + 100 = i*w. What is the tens digit of w?
2
Let q(s) = 3*s**2 + 8*s. Let a be (-11)/4 - 24/(-32) - -7. What is the hundreds digit of q(a)?
1
Let b be (-704)/(-1) - (-11 - -9). Suppose 4*f = 3*q - 542, -8*q + 4*q + b = -2*f. What is the tens digit of q?
7
Let k(h) = h**3 + 26*h**2 - 10*h - 41. What is the tens digit of k(-26)?
1
Let f be (-1)/(-4) + (-2)/8. Suppose f*z + 3*z = 0. Suppose -5*y + 3*p + 161 = z, 0 = 3*y - 3*p - 36 - 57. What is the tens digit of y?
3
Let g = 4 - -1. Suppose 0 = -2*s - 4*w + 124, -5*s = g*w + 21 - 336. Let l = -41 + s. What is the tens digit of l?
2
Let k = 160 + -248. Let o = 20 - k. What is the units digit of o?
8
Suppose 3*j - 12 + 6 = 0. Suppose x - 3*x = -10. Suppose -120 = -5*w + 2*f, j*w - x*w = 2*f - 88. What is the tens digit of w?
2
Let n(w) = 178*w. Let h be n(1). Suppose 3*a = 5*k + 8 - h, 2*k = 4*a + 54. Let c = k + -9. What is the tens digit of c?
2
Suppose 7*x - 2*x - 25 = 0. Suppose 0 = 3*o - 6*m + m - 166, 3*m - 220 = -x*o. What is the tens digit of o?
4
Suppose 5*r - 1725 = 52*j - 57*j, 0 = 3*j - r - 1047. What is the hundreds digit of j?
3
Suppose 131 = b + 33. Let w = b + -55. What is the tens digit of w?
4
Let y(p) = -38*p - 723. What is the units digit of y(-74)?
9
Let p(a) = -658*a**3 + a**2 + 2*a + 2. What is the tens digit of p(-1)?
5
Let y = 2 + 251. Let p = 369 - y. What is the units digit of p?
6
Let l(w) = -w**3 + 14*w**2 - 11*w - 26. Let t be l(13). Suppose d - 6 = -d. Suppose -d*x + 51 = -t*x. What is the units digit of x?
7
Suppose -3*l = -4*y + 480, 0*l + 2*l = -2*y + 240. Suppose y = 7*q - 4*q. Suppose h = -m + 4*h + q, 0 = -m - 4*h + 54. What is the units digit of m?
6
Suppose 2*p - 329 - 217 = 0. What is the tens digit of p?
7
Let j be ((-2163)/7)/(9/12). Let z = j - -630. What is the units digit of z?
8
Let t(i) = -9*i + 81. What is the units digit of t(-14)?
7
Let h(m) = 2*m**2 + 4*m + 4. Let w(t) = t - 12. Let u be w(4). What is the tens digit of h(u)?
0
Let g be 3*3*(-2)/9. What is the tens digit of ((-8)/12)/(g/63)?
2
Suppose 376*y - 1362 = 375*y. What is the hundreds digit of y?
3
Let a(u) = 2*u**2 - 23*u - 16. Let j be a(13). Let t = 7 + -4. Suppose -t = 2*g - j. What is the units digit of g?
0
Let d(z) = -57*z - 116. What is the hundreds digit of d(-22)?
1
Let b = 506 + -456. What is the units digit of b?
0
Suppose 0 = -16*h + 20*h - 1956. What is the hundreds digit of h?
4
What is the tens digit of 18/(-9)*(-360 + 2 + -4)?
2
Suppose -55*t = -33*t - 27346. What is the thousands digit of t?
1
Let m(l) = 6*l - 15. Let a be m(6). Let u = 43 - a. What is the units digit of u?
2
Let t = 534 + -148. Suppose -9*p - t = -1466. What is the tens digit of p?
2
Let z be (-6)/(-10)*5 - 9. What is the units digit of (-4 + z)*-3 + -3?
7
Suppose -5*j + 475 = 5*d, -d - 2*d = -j - 301. Suppose -d = 7*q - 659. What is the units digit of q?
0
Let o = 1180 + -447. Suppose 5*a - o = -4*l, -3*a + 3*l = -0*l - 429. What is the units digit of a?
5
Let c(r) = -2 + 0 + 2 + 91*r**2. Let x be c(-1). Suppose -p = -t + 24, t + p = -3*t + x. What is the tens digit of t?
2
Let y = 1935 - 587. What is the tens digit of y?
4
Let n(i) = i - 6. Let x be n(8). Suppose -x*c - 2 = -c. What is the units digit of c - (18 + 3)/(-3)?
5
Let o(m) = -m**3 - 12*m**2 - 15*m - 11. Let k be o(-11). Let w = 90 - k. What is the tens digit of w?
5
Let c = 3 + -1. Suppose 3*j - 9 = m, 2*j + m - 7 = c*m. What is the tens digit of 23*(j + (3 - 4))?
2
Suppose 16*z - 10*z = 1830. What is the tens digit of z?
0
Let a = 26 + 395. What is the hundreds digit of a?
4
Let h(l) = l + 2. Let t be h(4). Suppose 3*r = t*r - 60. Let o = r + -10. What is the tens digit of o?
1
Suppose -3 - 3 = r. Let q = r - -16. What is the units digit of -2*(-3 - -1 - q)?
4
Suppose k + l = 2*l + 2, 3*k - 5*l - 4 = 0. Suppose 4*i + 72 = -g + k*g, -5*g + 169 = i. What is the units digit of g?
4
Suppose 5*z + p - 2270 = 0, -p = -z + 2*z - 458. Suppose -5*d = -2*d - z. Suppose f + 4*f + 2*a = d, -2*f - 2*a = -64. What is the units digit of f?
9
Suppose -g + 6*g = 4*h - 7, -g - 2 = -h. Suppose -143 = 5*s + 4*x - 868, -h*s - 4*x + 443 = 0. What is the units digit of s?
1
Let q(x) be the third derivative of x**7/420 - x**6/360 + x**5/30 + 5*x**2. Let f(m) be the third derivative of q(m). What is the units digit of f(3)?
4
Let h(z) = 2790*z**2 - 87*z + 88. What is the hundreds digit of h(1)?
7
Let i = -13 + 12. Let f(t) = 3 + t - 2 - 1 + 35*t**2. What is the units digit of f(i)?
4
Let v(q) = q**3 - 7*q**2 - 7*q - 6. Let o be v(8). Let k(p) = -152*p**o + 149*p**2 - 3 + 0 + 2*p + 3*p**3. What is the units digit of k(2)?
3
Let m(g) = -11*g + 2. Let h(n) = -n + 1. Let u(d) = -3*h(d) + m(d). | {
"pile_set_name": "DM Mathematics"
} |
, -42, -46, -50?
-54
What is next in -2029, -2031, -2033, -2035, -2037, -2039?
-2041
What is next in -105, -98, -89, -78?
-65
What is the next term in 33, 7, -37, -99?
-179
What comes next: -106, -97, -88, -79, -70, -61?
-52
What comes next: 297, 589, 893, 1215, 1561, 1937, 2349, 2803?
3305
What is next in 401, 802, 1201, 1598, 1993?
2386
What is next in 240, 228, 194, 126, 12, -160, -402?
-726
What comes next: 272, 261, 238, 197, 132, 37, -94, -267?
-488
What comes next: 88, 180, 272, 364, 456, 548?
640
What is the next term in 60, 267, 616, 1107, 1740, 2515?
3432
What is the next term in 221, 224, 227?
230
What is the next term in -26, -50, -112, -230, -422, -706?
-1100
What is next in -40, -114, -186, -256, -324, -390?
-454
What is the next term in 7, 9, 7, 1, -9, -23, -41?
-63
What is the next term in 15, 43, 83, 129, 175?
215
What is the next term in 50, 45, 30, -1, -54, -135?
-250
What is next in 3468, 3464, 3460, 3456?
3452
What comes next: -1590, -3172, -4754?
-6336
What is next in 83, 81, 79, 77?
75
What is next in 563, 1118, 1663, 2192, 2699?
3178
What is next in -10, 9, 28?
47
What is the next term in 619, 611, 597, 577?
551
What is the next term in -131, -139, -149, -161, -175, -191, -209?
-229
What comes next: 15613, 15615, 15619, 15625, 15633, 15643, 15655?
15669
What is next in -2349, -2349, -2339, -2313, -2265, -2189?
-2079
What is next in -11, -11, 13, 73, 181, 349?
589
What is next in -54, -66, -94, -144, -222, -334?
-486
What is next in -398, -795, -1214, -1667, -2166, -2723, -3350?
-4059
What is next in -107, -220, -331, -440, -547, -652, -755?
-856
What comes next: 9, 34, 69, 120, 193, 294?
429
What is next in -120, -118, -116?
-114
What is the next term in 16, 35, 62, 97, 140, 191, 250?
317
What is next in 139, 95, 51?
7
What is the next term in 101, 99, 95, 89?
81
What is the next term in 347, 387, 427, 467, 507, 547?
587
What comes next: -451, -453, -465, -493, -543, -621, -733, -885?
-1083
What is the next term in 198, 383, 566, 747?
926
What is the next term in -2528, -2536, -2552, -2582, -2632?
-2708
What comes next: -821, -1635, -2443, -3245?
-4041
What is next in 1237, 1243, 1253, 1267, 1285?
1307
What is the next term in 37, 74, 119, 166, 209, 242, 259?
254
What comes next: 32, 86, 150, 230, 332?
462
What is the next term in 39, 2, -73, -192, -361?
-586
What is next in -2, -144, -516, -1232, -2406?
-4152
What comes next: -5, -20, -59, -134, -257, -440, -695?
-1034
What is next in 222, 182, 142, 102, 62, 22?
-18
What is the next term in -14268, -14271, -14276, -14283, -14292, -14303?
-14316
What is the next term in -117, -230, -323, -390, -425, -422, -375?
-278
What is the next term in 87, 169, 251, 333, 415, 497?
579
What comes next: 4356, 8719, 13082, 17445, 21808?
26171
What is next in 14, 44, 94, 164, 254, 364, 494?
644
What is next in 297, 594, 891, 1188?
1485
What is the next term in 648, 1281, 1900, 2499, 3072, 3613, 4116?
4575
What is the next term in -114, -106, -92, -72, -46, -14, 24?
68
What is next in -104, -205, -306, -407?
-508
What is next in 2095, 4205, 6313, 8419, 10523?
12625
What is next in 11, 22, 33, 44, 55, 66?
77
What is next in -25, 54, 133, 212, 291, 370?
449
What is next in -157, -316, -475, -634?
-793
What is the next term in -161, -113, -55, 19, 115, 239?
397
What is the next term in 164, 163, 162, 161, 160, 159?
158
What is the next term in 792, 798, 808, 822, 840, 862?
888
What is next in -389, -386, -381, -374, -365, -354?
-341
What is next in 175, 323, 445, 529, 563, 535, 433?
245
What is the next term in 62, 51, 40, 29, 18?
7
What is the next term in 197, 287, 375, 461?
545
What is the next term in 149, 51, -45, -139, -231?
-321
What is next in 126, 138, 152, 168?
186
What is the next term in -85, -101, -133, -187, -269, -385?
-541
What is the next term in -106, -397, -890, -1591, -2506, -3641, -5002, -6595?
-8426
What comes next: -164, -215, -278, -359, -464, -599?
-770
What comes next: 53, 216, 487, 866, 1353?
1948
What comes next: 17, -20, -57?
-94
What is the next term in 167, 674, 1519, 2702, 4223, 6082, 8279?
10814
What is the next term in 481, 959, 1437?
1915
What comes next: -19, -34, -51, -70, -91?
-114
What is next in 70, 189, 306, 421, 534, 645?
754
What is next in 31, 31, 29, 25, 19, 11, 1?
-11
What is the next term in 51, 212, 487, 876, 1379?
1996
What comes next: -310, -287, -248, -187, -98, 25, 188, 397?
658
What is next in -13, -29, -47, -67, -89, -113, -139?
-167
What is next in -33, -56, -59, -30, 43, 172, 369, 646?
1015
What is the next term in 6478, 6483, 6488, 6493, 6498, 6503?
6508
What is the next term in -1584, -1585, -1596, -1623, -1672, -1749?
-1860
What comes next: -8, 2, 34, 94, 188, 322, 502?
734
What comes next: 5, 24, 57, 110, 189, 300?
449
What comes next: 1129, 1129, 1119, 1093, 1045, 969, 859?
709
What is next in -2253, -2247, -2237, -2223, -2205, -2183, -2157?
-2127
What is next in 27, -1, -37, -87, -157?
-253
What is the next term in -28, -88, -192, -346, -556?
-828
What comes next: -14, -5, 16, 55, 118, 211?
340
What is the next term in -326, -325, -324, -323?
-322
What is next in -15, -53, -85, -105, -107?
-85
What comes next: -38, -31, -22, -11, 2, 17?
34
What is next in 11, 21, 33, 47?
63
What is next in 5, 21, 37, 53, 69?
85
What comes next: -37, -6, 83, 260, 555?
998
What is next in -33, -48, -89, -162, -273, -428?
-633
What is the next term in -18, -51, -106, -183, -282?
-403
What comes next: -708, -1418, -2128, -2838, -3548?
-4258
What is the next term in 25, 82, 179, 316, 493, 710?
967
What is the next term in -171, -170, -169, -168, -167?
-166
What is the next term in -38, -33, -38, -59, -102, -173, -278, -423?
-614
What is the next term in -1232, -2453, -3660, -4847, -6008, -7137, -8228, -9275?
-10272
What is next in -92, -73, -54?
-35
What comes next: 186, 370, 554, 738?
922
What is the next term in -278, -557, -834, -1109, -1382, -1653?
-1922
What comes next: 11, 28, 47, 68?
91
What is next in 3, -1, -5?
-9
What comes next: -26490, -26492, -26494?
-26496
What is next in -41, -174, -395, -704, -1101, -1586?
-2159
What is the next term in 130, 537, 1210, 2143, 3330, 4765?
6442
What comes next: -4008, -3997, -3972, -3927, -3856, -3753?
-3612
What comes next: -14, -105, -280, -539, -882?
-1309
What is the next term in 1284, 5182, 11686, 20802, 32536?
46894
What is the next term in 65, 131, 199, 269, 341, 415?
491
What comes next: 17360, 34719, 52078, 69437, 86796, 104155?
121514
What comes next: -76, -82, -88, -94, -100, -106?
-112
What is next in -2459, -4919, -7379, -9839, -12299, -14759?
-17219
What is the next term in 19, 24, 19, -2, -45?
-116
What is the next term in 26, 86, 186, 332, 530, 786?
1106
What comes next: 122, 470, 1048, 1856, 2894?
4162
What comes next: -1980, -15814, -53362, -126480, -247024, -426850?
-677814
What is the next term in -40, -46, -38, -10, 44, 130, 254?
422
What is the next term in 10, 9, -4, -35, -90, -175, -296, -459?
-670
What comes next: 1, -23, -71, -155, -287, -479?
-743
What comes next: -42, -70, -98?
-126
What comes next: -1230, -2461, -3692?
-4923
What is the next term in -5148, -10300, -15454, -20610, -25768, -30928?
-36090
What comes next: 418, 828, 1238, 1648, 2058?
2468
What is the next term in -2548, -2547, -2546, -2545?
-2544
What is next in 384, 740, 1084, 1410, 1712, 1984, 2220?
2414
What is next in 1, -23, -55, -89, -119, -139, -143?
-125
What is next in -27, -32, -37, -42, -47?
-52
What is the next term in 10235, 20472, 30709, 40946, 51183, 61420?
71657
What comes next: -28, 14, 90, 206, 368, 582, 854?
1190
What comes next: -752, -755, -762, -773, -788, -807, -830?
-857
What is the next term in 1, -12, -29, -50, -75, -104?
-137
What is the next term in -11, 8, 27, 46?
65
What comes next: 575, 592, 619, 656?
703
What is next in 2289, 2287, 2285?
2283
What comes next: 35, 67, 87, 89, 67, 15?
-73
What is the next term in 49, 98, 147?
196
What is the next term in 11980, 11984, 11990, 11998?
12008
What is next in -113, -115, -119, -125, -133, -143, -155?
-169
What is the next term in 40, 24, -14, -80, -180, -320, -506, -744?
-1040
What is next in 896, 1793, 2694, 3599, 4508, 5421?
6338
What is the next term in -112, -47, 62, 215, 412?
653
What is the next term in 2638, 5276, 7914, 10552, | {
"pile_set_name": "DM Mathematics"
} |
(c) -2 (d) 2/17
b
Let f(u) = -u + 17. Let r be f(0). Let s = 21 - r. Let k be (s - 12)/(-1 + 3). Which is the second biggest value? (a) -2 (b) 7 (c) k
a
Let q = 21.5 + -21.45. Which is the third biggest value? (a) -0.05 (b) -1 (c) q
b
Let n = 1 - 1. Let t = 0.09 - -1.91. Let d = -181.1 - -181. What is the third biggest value in t, n, d?
d
Suppose -37 = 5*m - 2*s + s, -4*m - 2*s - 38 = 0. Let p = m - -3. Let r = 2.0159 + -0.0159. What is the second smallest value in r, p, -0.3?
-0.3
Let q be 2 + 4/((-196)/105). Which is the second smallest value? (a) -14.6 (b) q (c) -2
c
Suppose -5*y + 49 = -4*g, 5*g + 5 + 30 = y. Let v be 11/(-6) - 9/g. Which is the biggest value? (a) 0.1 (b) 0.2 (c) v
b
Suppose 5*h - 199 = 51. Suppose 5*p + h = 15. Which is the second smallest value? (a) -1/10 (b) 1 (c) -0.3 (d) p
c
Let f = -1049 - -1049.1. What is the biggest value in -20, f, -1?
f
Let f = 1.4534 + -1.1534. Suppose 2*w = -w - 3*p + 12, p - 10 = 5*w. What is the third biggest value in w, 1.7, f?
w
Let q = -19.962 - -24.962. Suppose 5*b = -8 - 17. What is the second smallest value in 0.2, b, 0, q?
0
Let p(i) = -5*i**2 + 11*i + 10. Let w be p(-4). Let r = w - -117. Which is the third biggest value? (a) -1/4 (b) r (c) -2
c
Let k = 264 + -263.5. What is the third biggest value in -5, k, -0.6?
-5
Let z = 96.3 + -110. Let d = z - -12.9. Which is the second biggest value? (a) 1/8 (b) d (c) -4
b
Let f(k) = k**3 - 5*k**2 - 25*k + 10. Let a be f(8). What is the fourth biggest value in a, -7, -0.4, -5/2?
-7
Let i = -95 - -124. Let y = 36 - i. Let b be ((-1)/(-3))/(4/(-6)). What is the second smallest value in b, y, -2/3?
b
Let l = 743 - 746. Which is the biggest value? (a) l (b) -22 (c) -0.1
c
Let d be (-45)/(-54)*(10 + -4). What is the third smallest value in -4.3, d, -2, -1?
-1
Suppose 4*m - t - t = 12, 2*m - 6 = -2*t. Let y = 106.8 - 106.6. Which is the third smallest value? (a) -0.5 (b) m (c) y
b
Let t = 89 + -170. Let q = t + 81.4. Which is the second smallest value? (a) q (b) -4 (c) 5 (d) 2
a
Let x = -1.8159 + -0.1841. Let p = 3/17 - 63/68. What is the third biggest value in 3/5, p, x?
x
Let l = -1 - 2. Let v = 348 - 345. What is the second biggest value in l, v, 4?
v
Let w = -0.108 + 0.048. Let n = -2.1 - 2.9. What is the smallest value in 0.5, 4, w, n?
n
Let i = 15 - 15.01. Let r = i - 0.09. Which is the third biggest value? (a) 5/2 (b) r (c) 1
b
Let m = 7 - 9. Let s(h) = -32*h - 12. Let b be s(-8). Let z be -4 - (-1 + b/(-84)). What is the second smallest value in z, -4, m?
m
Let t = -0.5 - 5.5. Let z = -10 - t. Suppose 25 = -3*j + 8*j. Which is the second biggest value? (a) z (b) 3/5 (c) j
b
Let s(p) = p**3 + 10*p**2 + 17*p + 4. Let h be s(-8). Suppose -i - 4*i = 15. Which is the second smallest value? (a) -0.5 (b) h (c) i
c
Let n be 646/119 + 12/(-3) + -1. Let i be 0 - 2/4*-2. Which is the third biggest value? (a) -0.1 (b) 1/5 (c) n (d) i
b
Let c = 8.1 + -7.1. Let z = 0 + -2. Let x be (-108)/(-57) - (-4)/z. What is the third biggest value in c, x, -5?
-5
Let q = -0.091 - 0.509. What is the smallest value in 1/13, -2, q?
-2
Let l = -3709/20 + 981/5. Which is the smallest value? (a) -0.03 (b) 0.1 (c) l
a
Let i(h) = h + 12. Let c be i(-6). Let w be ((-15)/(-10))/(c/(-8)). Let x = 1.9 + -0.9. What is the third biggest value in w, x, 0?
w
Let k = 107 + -103. Let q = 6 - 4. Let n = 2.4 - q. What is the second biggest value in n, -0.05, k?
n
Let x = 0.1 + 0.4. Suppose -v = 4*j + 156, 2*j - 4*v + 72 = -3*v. Let w = 267/7 + j. What is the third smallest value in -2, w, x?
x
Let y = 100 - 49. Let n = 49 - y. What is the biggest value in n, -4, 1?
1
Let q = -1562 - -1554.09. Let u = -0.09 + q. Which is the biggest value? (a) 0.1 (b) -3/8 (c) u
a
Let j = -0.043 - -25.043. Let s = j + -26. Let t = 3/5 - 11/10. What is the second smallest value in s, 0.5, t?
t
Let w be 0/((-7 - -9)*(-2)/4). Let q = -64.3 + 64. What is the second biggest value in 5, w, 1/2, q?
1/2
Let o = 12 + -11.6. Suppose 15*u - 17*u = 0. What is the biggest value in u, -3, o?
o
Let s = -1756.13 - -1756. Which is the fourth smallest value? (a) -0.3 (b) s (c) 1 (d) -2/3
c
Let p be 0/2 - (-3 + 4). Let w(z) = z**3 + 2*z**2 + z + 2. Let q be w(-2). Let d = 25.8 + -22.8. Which is the second smallest value? (a) p (b) q (c) d
b
Let a be (-10)/(-6) - (-4)/(-6). Let j = 0.4 + -0.9. What is the third biggest value in -4, -1/4, j, a?
j
Let n = 21.8 + -21.3. Which is the biggest value? (a) 4/5 (b) 2/15 (c) n (d) 4
d
Let l = -30 + 25. Which is the third smallest value? (a) -4 (b) l (c) 3/2 (d) 1
d
Let i = -1.294 - -0.994. Which is the third biggest value? (a) -3/5 (b) i (c) 27
a
Let m be (0 - (-2 + 3))*0/(-50). What is the smallest value in 1/3, 9, 1, m?
m
Let k = -3.4 + 7.4. Let y = -0.8 - -1.1. What is the smallest value in k, y, -25?
-25
Let v = -18 + 2. Let d = v + 16.45. Let p = d + -0.05. What is the second biggest value in 5, 3, p?
3
Let g = -107 + -12. Let u = -116 - g. Let j = 4 + -4.3. What is the second biggest value in 0.3, j, u?
0.3
Let l = 24/17 - 127/102. What is the biggest value in 0.1, 0.11, l?
l
Let s = -26 + 20. Let d be 4/s*(-15 - 3). Suppose 6*k = 9*k + d. Which is the second smallest value? (a) -1 (b) k (c) 1/3
a
Let l = 1082.3 + -1082. What is the fourth smallest value in -3, l, 10, -2?
10
Let f = -2 + -10. Let t = 82/7 + f. Which is the biggest value? (a) -4 (b) -1/2 (c) t
c
Suppose -2*h = -5*j + 154, 3*j + 2*h = -h + 84. Let w be 3/15 - (-9)/j. Let l = -1.2 + 0.8. Which is the second smallest value? (a) w (b) 0.2 (c) l
b
Let z = -12 + 2. Let j = z + -1. Let k = j + 15. Which is the third biggest value? (a) 2 (b) k (c) 1
c
Let f = -1.33 - -48.73. Let q = -47 + f. What is the third biggest value in -5, -4, q, -0.1?
-4
Let u = 20 - 23. Let i be (u - -1)/((-39)/(-3)). What is the third biggest value in -0.4, -1.7, i, 1?
-0.4
Let x = 4 + -0.5. Let s = 0.5 + x. Let h = 22 + -155/7. What is the third smallest value in h, 0, s?
s
Let y = -0.0065 + 0.0665. What is the second biggest value in -0.4, 5/4, y?
y
Let i = 16 + -77. Let q = i + 60.9. Which is the second smallest value? (a) 4 (b) -0.5 (c) q (d) -1
b
Let r = -713 + 721. Which is the fourth smallest value? (a) 2 (b) 5/4 (c) r (d) 1.5
c
Let y = 2353 + -9201/4. Let j = 53 - y. Let v = 13/93 + 6/31. Which is the second biggest value? (a) j (b) v (c) -1/14
a
Let v be ((-6)/21)/((-3)/(-21)). Let m = -0.04 + -0.02. What is the third biggest value in v, m, -1?
v
Let q = -910 - -6373/7. Let l = 1.92 - -0.08. Which is the fourth biggest value? (a) -3/8 (b) l (c) q (d) -0.12
a
Let g = -33.1 + 33. Let j = g + -2.9. What is the third smallest value in -4, 3, 1, j?
1
Let p = 5/177 - -269/3009. What is the third biggest value in 2/23, -4, p?
-4
Let m = 43 + -93. Let v = m + 50.1. What is the second smallest value in v, -0.4, -0.2?
-0.2
Let d = -415 - -411. What is the smallest value in 0.02, d, 1/10?
d
Suppose 2*x = 3*x. Let v = 1130 - 1203.3. Let y = 73 + v. What is the second biggest value in x, y, -1?
y
Let w = 5.89 - -0.11. Let t = -896 - -895.9. Which is the fourth biggest value? (a) 0.5 (b) 3/7 (c) w (d) t
d
Let n be (8/(-14))/(5/(-5)). Suppose -10*m - 3 = -23. Suppose 0 = -3*o - 4*p - 16, -2*o - 8 = m*p + 2. What is the second smallest value in 4, o, n?
n
Let l = -378492 - -5672717/15. Let t = 311 + l. Which is the fourth biggest value? (a) -2/7 (b) -3 (c) 0 (d) t
b
Let d be 36/(-72)*(-4)/(-10). Which is the second smallest value? (a) -7 (b) -1/6 (c) d
c
Let a be ((-56)/(-20) + -2)*-5*12/(-48). Suppose -124 = 5*j - l - 26, -j - 5*l - 30 = 0. What is the smallest value in a, j, 2/5?
j
Let d = -30 - -33. Let i = 124 + -124.2. What is the smallest value in 0.092, i, d?
i
Let x be 16/5 - (0 + 3). Suppose 0 = 3*a + n - 0*n + 28, 4*a = -4*n - 48. Let q be a/80*(-10)/8. What is the third smallest value in x, q, -3?
x
Let u = -135 + 129.96. Let c = -0.04 - u. Let i = 1 - 6. What is the biggest value in i, 1, c?
c
Let u = 13318/15 - 888. Which is the second biggest value? (a) -0.4 (b) 209 (c) u
c
Let p = 0.017 - -20.983. Let l = -10 + p. Let i = l + -7. What is the biggest value in 0.3, i, -0.5?
i
Let t = 15.29 + -0.29. Let p = t + 2. Let n = -1 | {
"pile_set_name": "DM Mathematics"
} |
nutes before 8:41 AM?
1:55 AM
What is 690 minutes before 9:34 PM?
10:04 AM
How many minutes are there between 10:41 PM and 12:23 AM?
102
How many minutes are there between 1:22 AM and 11:39 AM?
617
How many minutes are there between 5:13 AM and 9:37 AM?
264
What is 538 minutes after 6:53 AM?
3:51 PM
How many minutes are there between 3:03 PM and 5:28 PM?
145
What is 48 minutes after 10:00 PM?
10:48 PM
What is 367 minutes before 1:54 AM?
7:47 PM
What is 628 minutes after 4:43 AM?
3:11 PM
How many minutes are there between 5:02 PM and 7:10 PM?
128
How many minutes are there between 11:34 PM and 11:29 AM?
715
What is 502 minutes before 4:06 AM?
7:44 PM
How many minutes are there between 10:17 AM and 10:36 AM?
19
What is 89 minutes before 12:25 AM?
10:56 PM
What is 317 minutes before 8:02 PM?
2:45 PM
How many minutes are there between 4:29 AM and 10:35 AM?
366
How many minutes are there between 1:31 PM and 9:31 PM?
480
How many minutes are there between 8:08 PM and 1:36 AM?
328
What is 535 minutes before 6:43 AM?
9:48 PM
What is 175 minutes after 1:16 PM?
4:11 PM
What is 322 minutes after 3:02 AM?
8:24 AM
What is 283 minutes before 9:41 PM?
4:58 PM
What is 305 minutes before 6:28 PM?
1:23 PM
How many minutes are there between 12:39 PM and 5:09 PM?
270
What is 528 minutes before 4:25 AM?
7:37 PM
What is 473 minutes before 5:35 AM?
9:42 PM
How many minutes are there between 11:12 PM and 3:26 AM?
254
How many minutes are there between 2:59 PM and 4:10 PM?
71
How many minutes are there between 7:56 AM and 10:47 AM?
171
How many minutes are there between 10:41 AM and 10:24 PM?
703
What is 493 minutes before 12:57 PM?
4:44 AM
How many minutes are there between 3:39 PM and 10:25 PM?
406
What is 33 minutes before 12:12 PM?
11:39 AM
How many minutes are there between 10:27 AM and 7:11 PM?
524
How many minutes are there between 9:14 PM and 12:01 AM?
167
What is 667 minutes after 2:43 PM?
1:50 AM
What is 39 minutes before 1:34 AM?
12:55 AM
What is 110 minutes after 12:24 PM?
2:14 PM
What is 400 minutes after 10:45 PM?
5:25 AM
How many minutes are there between 5:38 PM and 5:50 PM?
12
How many minutes are there between 8:42 PM and 6:30 AM?
588
What is 44 minutes after 8:54 PM?
9:38 PM
How many minutes are there between 2:57 AM and 7:07 AM?
250
How many minutes are there between 10:22 AM and 11:39 AM?
77
What is 705 minutes before 6:52 AM?
7:07 PM
How many minutes are there between 2:31 AM and 1:58 PM?
687
What is 618 minutes after 11:11 PM?
9:29 AM
How many minutes are there between 4:04 AM and 6:51 AM?
167
What is 588 minutes before 2:27 PM?
4:39 AM
What is 467 minutes after 6:34 AM?
2:21 PM
How many minutes are there between 11:59 AM and 9:42 PM?
583
How many minutes are there between 5:04 AM and 3:11 PM?
607
What is 428 minutes after 12:49 PM?
7:57 PM
How many minutes are there between 4:15 AM and 7:06 AM?
171
What is 71 minutes before 10:56 PM?
9:45 PM
What is 355 minutes before 12:03 AM?
6:08 PM
What is 295 minutes after 9:49 PM?
2:44 AM
How many minutes are there between 9:44 AM and 9:17 PM?
693
How many minutes are there between 8:19 AM and 4:44 PM?
505
How many minutes are there between 3:00 PM and 2:48 AM?
708
How many minutes are there between 8:31 AM and 3:17 PM?
406
What is 657 minutes after 5:05 PM?
4:02 AM
What is 444 minutes after 9:25 AM?
4:49 PM
What is 91 minutes before 8:23 AM?
6:52 AM
What is 344 minutes before 12:49 PM?
7:05 AM
How many minutes are there between 5:41 PM and 1:31 AM?
470
What is 184 minutes after 7:42 AM?
10:46 AM
What is 418 minutes after 8:20 AM?
3:18 PM
What is 211 minutes after 1:05 PM?
4:36 PM
How many minutes are there between 8:48 PM and 2:11 AM?
323
How many minutes are there between 1:27 AM and 11:16 AM?
589
What is 337 minutes before 1:52 AM?
8:15 PM
What is 292 minutes after 4:52 AM?
9:44 AM
How many minutes are there between 3:02 AM and 9:09 AM?
367
What is 332 minutes before 11:41 AM?
6:09 AM
How many minutes are there between 8:01 AM and 10:35 AM?
154
What is 589 minutes before 9:50 AM?
12:01 AM
How many minutes are there between 7:04 PM and 9:26 PM?
142
What is 274 minutes after 1:01 AM?
5:35 AM
What is 186 minutes after 11:03 PM?
2:09 AM
How many minutes are there between 2:18 AM and 9:51 AM?
453
How many minutes are there between 12:58 PM and 12:53 AM?
715
How many minutes are there between 2:51 AM and 10:14 AM?
443
How many minutes are there between 1:52 AM and 2:03 AM?
11
How many minutes are there between 8:59 AM and 4:32 PM?
453
What is 27 minutes after 10:25 AM?
10:52 AM
What is 443 minutes after 9:26 PM?
4:49 AM
How many minutes are there between 7:33 AM and 6:49 PM?
676
What is 408 minutes after 11:52 PM?
6:40 AM
What is 414 minutes before 9:48 AM?
2:54 AM
How many minutes are there between 11:47 PM and 12:06 AM?
19
What is 366 minutes after 2:33 PM?
8:39 PM
What is 142 minutes before 1:22 PM?
11:00 AM
What is 592 minutes before 11:10 PM?
1:18 PM
How many minutes are there between 3:55 AM and 12:54 PM?
539
What is 160 minutes before 12:23 PM?
9:43 AM
What is 142 minutes after 12:22 PM?
2:44 PM
How many minutes are there between 8:52 PM and 5:47 AM?
535
How many minutes are there between 6:47 PM and 7:07 PM?
20
How many minutes are there between 12:32 AM and 8:40 AM?
488
How many minutes are there between 3:27 AM and 10:11 AM?
404
What is 240 minutes before 1:50 AM?
9:50 PM
What is 160 minutes after 3:07 AM?
5:47 AM
What is 616 minutes after 3:12 AM?
1:28 PM
How many minutes are there between 4:19 PM and 7:15 PM?
176
What is 517 minutes after 12:02 AM?
8:39 AM
What is 556 minutes after 9:10 PM?
6:26 AM
What is 682 minutes after 4:51 PM?
4:13 AM
What is 186 minutes after 5:57 AM?
9:03 AM
What is 292 minutes after 7:52 PM?
12:44 AM
How many minutes are there between 2:57 PM and 8:57 PM?
360
How many minutes are there between 10:06 AM and 12:16 PM?
130
How many minutes are there between 4:17 AM and 6:17 AM?
120
How many minutes are there between 4:41 AM and 9:59 AM?
318
How many minutes are there between 11:50 PM and 5:18 AM?
328
How many minutes are there between 6:00 PM and 6:25 PM?
25
What is 63 minutes before 3:16 PM?
2:13 PM
What is 328 minutes before 4:49 AM?
11:21 PM
How many minutes are there between 5:29 PM and 12:11 AM?
402
How many minutes are there between 5:19 PM and 4:19 AM?
660
How many minutes are there between 2:56 PM and 1:01 AM?
605
What is 663 minutes after 2:24 AM?
1:27 PM
How many minutes are there between 6:37 PM and 10:49 PM?
252
What is 485 minutes after 9:01 AM?
5:06 PM
What is 468 minutes after 6:20 PM?
2:08 AM
How many minutes are there between 5:29 AM and 5:06 PM?
697
What is 77 minutes before 11:23 AM?
10:06 AM
How many minutes are there between 1:15 PM and 6:06 PM?
291
How many minutes are there between 3:09 PM and 3:51 PM?
42
What is 202 minutes after 2:14 PM?
5:36 PM
What is 675 minutes after 3:09 AM?
2:24 PM
What is 526 minutes before 11:44 AM?
2:58 AM
What is 328 minutes after 9:55 PM?
3:23 AM
What is 532 minutes before 3:03 PM?
6:11 AM
How many minutes are there between 5:16 AM and 11:22 AM?
366
What is 501 minutes after 6:11 AM?
2:32 PM
What is 703 minutes after 2:45 PM?
2:28 AM
What is 14 minutes after 6:43 PM?
6:57 PM
What is 609 minutes before 1:46 PM?
3:37 AM
How many minutes are there between 11:17 AM and 10:20 PM?
663
What is 145 minutes after 7:23 PM?
9:48 PM
How many minutes are there between 10:23 AM and 3:12 PM?
289
What is 599 minutes after 5:17 PM?
3:16 AM
What is 110 minutes after 7:13 PM?
9:03 PM
How many minutes are there between 5:52 AM and 5:34 PM?
702
How many minutes are there between 5:43 AM and 7:24 AM?
101
How many minutes are there between 1:18 AM and 10:46 AM?
568
What is 549 minutes before 9:15 PM?
12:06 PM
How many minutes are there between 6:34 AM and 10:03 AM?
209
How many minutes are there between 9:39 PM and 4:47 AM?
428
What is 582 minutes before 4:12 PM?
6:30 AM
What is 394 minutes after 12:53 AM?
7:27 AM
How many minutes are there between 6:14 AM and 3:20 PM?
546
What is 402 minutes before 3:55 PM?
9:13 AM
What is 88 minutes before 1:41 PM?
12:13 PM
What is 152 minutes before 10:57 AM?
8:25 AM
What is 172 minutes after 8:59 PM?
11:51 PM
What is 67 minutes after 7:03 PM?
8:10 PM
What is 681 minutes before 10:57 AM?
11:36 PM
How ma | {
"pile_set_name": "DM Mathematics"
} |
-12) + 38/(-12)*-1. Suppose x + j*i - 25 = 0, 5*x + i - 3*i - 210 = 0. Calculate the remainder when x is divided by 21.
19
Suppose 2*y + 136 = -56. Suppose -3*u - 1133 = -947. Let p = u - y. Calculate the remainder when p is divided by 18.
16
Let t = -537 - -786. What is the remainder when t is divided by 12?
9
Suppose 3*p + 9 = 0, 3*g + 54 = 3*p + 138. Calculate the remainder when (-175)/g*1*-7 is divided by 15.
4
Let b be 44/(-11) - (-8 + 2). Suppose 11 = c + b*w, 65 = 5*c + 3*w + 2*w. What is the remainder when c is divided by 9?
6
Suppose 0 = -2*w + 2*b + 110, b - 51 = -4*w + 3*w. Let k = 65 - w. Calculate the remainder when 23 is divided by k.
11
Let a = 4 + 0. Suppose 29 = 4*d - a*l - 47, 3*d + 3*l - 69 = 0. Suppose 0 = -o + 4*o - 33. What is the remainder when d is divided by o?
10
Let d(p) = p**2 + 2*p - 5. Let f be d(-5). Suppose 5*k = -19 - 1. Let g = f - k. Calculate the remainder when 55 is divided by g.
13
Let d(u) = -11*u + 140. Calculate the remainder when 186 is divided by d(8).
30
Let t = -22 + 31. Calculate the remainder when 35 is divided by t.
8
Let p be (-1)/((1 + 2)/(-15)). Let v = 6 + 1. Suppose -2*q = -o + p*o - 18, -3*q = -4*o - v. What is the remainder when 3 is divided by o?
1
Suppose 0 = -3*d + 36 - 0. Let i = 118 + -122. What is the remainder when 3 + 13 + 9 + i is divided by d?
9
Suppose -78 = -5*s + 2*s. Let n = 82 - -6. What is the remainder when n is divided by s?
10
Suppose -2*g - 8 = 4*s, g = -5*s - 7 - 6. Calculate the remainder when 9 is divided by (192/(-34))/s + 12/102.
1
Suppose 5*l - 3*z = 45, l - 6 - 3 = -z. Let x = 255 - 213. Calculate the remainder when x is divided by l.
6
Suppose -229 = -21*q + 1766. Calculate the remainder when q is divided by 55.
40
Let d(i) = -i + 75. Let s = 0 - 2. What is the remainder when d(19) is divided by 183/12 + s/8?
11
Let w = 305 + -172. Calculate the remainder when w is divided by 70.
63
Let z(f) = -f**2 + 14*f - 2. Calculate the remainder when 59 is divided by z(7).
12
What is the remainder when (-7)/(-98)*7*1458/3 is divided by 63?
54
Let f be 60/25 - 2 - 1154/10. Let a = -101 - f. Calculate the remainder when 48 is divided by a.
6
Let q = 496 + -464. Calculate the remainder when q is divided by 23.
9
Suppose 4*p = -0*p + 744. What is the remainder when p is divided by 43?
14
Let g be 0 - -3*(-10)/15. What is the remainder when g - (-2)/1 - (-444)/6 is divided by 30?
14
Let o = 601 + -436. What is the remainder when o is divided by 40?
5
Let g = 318 + -182. What is the remainder when g is divided by 30?
16
Let l(d) be the third derivative of -d**4/2 - 5*d**3/6 - 9*d**2. What is the remainder when 54 is divided by l(-1)?
5
Suppose 6*j = 3*j + 12. Suppose 3*s + j*a - 27 = 0, -a + 23 = 2*s - 0*s. Calculate the remainder when s is divided by 4.
1
Let z(u) = -u - 7. Let t(a) = a + 2. Let l(f) = -3*t(f) - z(f). Let g be 1 - (2 - 3) - 9. Calculate the remainder when 59 is divided by l(g).
14
Let x(n) = n**3 - 10*n**2 + 13*n - 1. Let k(d) = -d + 10. What is the remainder when x(9) is divided by k(-10)?
15
Suppose -5*z = -5*c - 195, 0 = -5*z + c + 45 + 138. Suppose -6 - z = -y. Calculate the remainder when y is divided by (-2)/4*2*-9.
6
Let a(w) = w**3 + 14*w**2 + 46*w - 10. Suppose 15 = t + 4*z, -3*t = -2*z + 3*z - 78. Calculate the remainder when t is divided by a(-8).
3
Suppose 2*x - 8*x = 0. Suppose 3*o + 2*y - 126 = -3*y, -5*y = x. What is the remainder when o is divided by 11?
9
Let u(r) = -24*r - 70. Calculate the remainder when u(-22) is divided by 51.
50
Calculate the remainder when (-5 + (-20)/(-3))*129 is divided by 8.
7
Let l(n) = n**2 + 17*n + 50. Suppose 73 = -5*q + 3*y - 4*y, -2*y - 41 = 3*q. Calculate the remainder when 98 is divided by l(q).
18
Suppose 15*u - 35 = 13*u - 5*v, -3*u - 4*v = -49. Calculate the remainder when 328 is divided by u.
13
Let o = -92 + 117. Let y(v) be the second derivative of -2*v**5/5 - v**4/12 - 2*v. Calculate the remainder when o is divided by y(-1).
4
Let m(a) = a**3 + 7*a**2 + 6*a. Let j be m(-6). Let q = j - -5. Suppose -2*y + 10 = 5*i - q*y, 4*y = 4*i. What is the remainder when 14 is divided by i?
4
Let q(z) = z**2 - 4*z + 3. Let d = 20 + -34. Let w = 20 + d. What is the remainder when q(w) is divided by 6?
3
Suppose 25*s - 24*s = 43. Let b = 59 + -44. What is the remainder when s is divided by b?
13
Suppose c - 300 = -5*c. Calculate the remainder when 97 is divided by c.
47
Suppose -4*u = -3 - 5. Suppose 0 = u*y + 4*f - 62, 0 = y - 0*f - f - 22. What is the remainder when y is divided by 10?
5
Let g(f) = 58*f + 59. Calculate the remainder when g(5) is divided by 88.
85
Let t(a) = -4*a + 13. Let v be t(0). What is the remainder when 81 is divided by v + 1 + 4/12*0?
11
Let r be (-25 - -24)*(-302)/(-4)*-2. Suppose r - 38 = p. Calculate the remainder when p is divided by 19.
18
Suppose 0 = -z - 9*z + 20. What is the remainder when (5/6*z)/((-17)/(-765)) is divided by (-2 - -1)/(4/(-76))?
18
Suppose 5*d - 3*o + 19 = -11, -o + 30 = -5*d. Let i(f) = -f**3 - 7*f**2 - 8*f - 4. Calculate the remainder when 516/40 - (-7)/70 is divided by i(d).
5
Let q(o) = o**2 + o + 31. Let z = 25 - 23. Calculate the remainder when 124 + 1 - (4 - z) is divided by q(0).
30
Let h = 12 - 7. Let a = h - -5. Suppose -2*t + a = -40. What is the remainder when 47 is divided by t?
22
Suppose -2*v + 3*v = 3. Suppose 3*x - 27 = -v*p, -p - 2*p + x + 27 = 0. What is the remainder when (-2)/8 - (-1781)/52 is divided by p?
7
Let c = 34 - 21. What is the remainder when 69 is divided by c?
4
Suppose -83*x = -62*x - 14679. Calculate the remainder when x is divided by 100.
99
Suppose 3*z + 1188 = 25*z. What is the remainder when 205 is divided by z?
43
Let f be (-1 - -3) + (-5)/((-15)/(-9)). Calculate the remainder when 26 is divided by -27*f/(-6)*-2.
8
Calculate the remainder when 297/4 + (-3 + 0)/12 is divided by 19.
17
Suppose 0 = 296*i - 293*i - 60. What is the remainder when 497 is divided by i?
17
Suppose -60 + 176 = 4*c. What is the remainder when 115 is divided by c?
28
Suppose 83*n - 228 = 45*n. Let l(z) = 3*z**2 + z + 3. Calculate the remainder when l(3) is divided by n.
3
Calculate the remainder when (-9 - -17)/((-2)/(-1))*30 is divided by 42.
36
Suppose 0 = -3*s - 9 + 12. Suppose -3*y - s = p - 17, -5*p = 25. What is the remainder when 27 is divided by y?
6
Let n = -1537 + 1554. Calculate the remainder when 111 is divided by n.
9
Let c(h) = 16*h**2 - 100*h - 580. Calculate the remainder when c(-6) is divided by 25.
21
Suppose 4*t - 7 = r - 16, 15 = 4*r + 5*t. Suppose -2*q + r*q + h - 216 = 0, 77 = q + 2*h. Calculate the remainder when q is divided by 15.
11
Suppose -136 = 7*r - 9*r. Suppose 9 = m + 14, -m + 135 = 4*z. Calculate the remainder when r is divided by z.
33
Let l = 1 - -5. Suppose 4*n = -3*m + 9, -n = 5*m - 4*n + 14. Calculate the remainder when (m - -2) + 1*21 is divided by l.
4
Let j(z) = 19*z**2 - z - 3. What is the remainder when j(2) is divided by 24?
23
Let m be (907 - (-4)/2) + -1. Suppose -21*b = -921 + 228. What is the remainder when 6/21 - m/(-7) is divided by b?
31
Let k(n) = 7*n**3 + 12*n**2 - 17*n - 6. What is the remainder when 1215 is divided by k(2)?
63
Let k(a) = -a**2 - a + 12. Let m be k(-3). What is the remainder when 22 is divided by (-3)/(-2*m/36)?
4
Let c = 14 - -10. Let o = 63 + -60. Suppose -o*h + 42 = -5*g, -3*g - 1 = 3*h - 19. What is the remainder when c is divided by h?
6
Suppose -3*p - i - 21 = 0, -p - 2*i - 12 = -0*p. Let q(y) = -7*y + 22. Let c be q(p). Suppose -n - c = -5*n. What is the remainder when 62 is divided by n?
14
Suppose -5*z = 5*i - 5, 2*z + z - 7 = -4*i. Suppose -12 = -i*r, -104 = -4*a - 3*r + 453. Calculate the remainder when a is divided by 35.
32
Let z(i) = -i**3 + 22*i**2 - 25*i - 26. Calculate the remainder when z(19) is divided by 84.
78
Suppose -z - 3*n = 2*z, 10 = 4*z + 2*n. Suppose 4*b - z*b + 2*p = -14, p + 28 = 4*b. Calculate the remainder when 22 is divided by b.
4
Let u(v) = -5*v + 2. Let g be u(-7). Suppose 2*t + g = -451. Calculate the remainder when (-1)/4 - t/16 is divided by 8.
7
Let g(w) = -8*w - 20. Let o be g(10). Calculate the remainder when 49 is divided by ((-4)/5)/(8/o).
9
Let v(w) = -10*w - 3. Suppose 0 = -2*s + 3*x + 50, 0*s + 5*x + 104 = 4*s. Calculate the remainder w | {
"pile_set_name": "DM Mathematics"
} |
-1475
Suppose 0 = -2*t + 2*n + 96, 4*n - 84 = -2*t + 3*n. Suppose -41 = 3*z - t. Put -1, -8, z in decreasing order.
z, -1, -8
Let q = 21 - 30. Let u be q/6*42/(-9). Suppose -5*d = 3*i - 3, 34 = -d - 3*i + 25. Sort -5, d, u in decreasing order.
u, d, -5
Suppose 4*l - 34 = 133*x - 131*x, 4*l - 48 = 4*x. Sort 4, -44, l.
-44, 4, l
Let i = -25 - 6. Let r = -80 - i. Let a = 47 + r. Sort 1, a, 7, 4.
a, 1, 4, 7
Let y = -73.6 - -27.6. Sort -2, y, 10.
y, -2, 10
Let f = -12 - -22. Suppose -f = 5*r - c, 0 = 2*r - 2*c + 3 + 1. Suppose 38 = -2*k + 41*m - 44*m, 0 = -5*m - 66 + 16. Sort r, k, -1 in increasing order.
k, r, -1
Let o(i) = -i**3 - 15*i**2 - i - 9. Let n be o(-15). Put -2, -5, 45, n in ascending order.
-5, -2, n, 45
Let r = -25/9 + 613/225. Let l = 62110 + -62109. Sort r, l, -2 in increasing order.
-2, r, l
Let x be 6/((5/2)/(5/12)). Put 14, -18, x in decreasing order.
14, x, -18
Let u = 768 - 768.4. Let k = -0.24 - -0.3. Let v = 0.06 - k. Put u, -2/3, 0.03, v in descending order.
0.03, v, u, -2/3
Let s(g) = -g - 48. Let c be s(6). Let j be 2/(-4)*(-9)/(c/24). Sort -4, -1, j, 3 in increasing order.
-4, j, -1, 3
Let w = -1/18914 + 4729/9457. Sort 8/7, w, 0.07 in increasing order.
0.07, w, 8/7
Let p = 21834 - 152840/7. Put 217, -0.2, 5, 0, p in descending order.
217, 5, 0, -0.2, p
Let y = -6222 + 6221.6. Sort 5, 45, y, 17.
y, 5, 17, 45
Let n = 40323/2828 - 6/707. Sort 5, n, -4/5, 0.02 in descending order.
n, 5, 0.02, -4/5
Let u = 265 - 794/3. Suppose -o - 12 = -b + 3, -4*o = -5*b + 63. Let f be o/30 + (-14)/(-30). Sort -2/17, u, f in decreasing order.
u, f, -2/17
Let r be (-4)/(((-8)/(-14))/((-42)/98)). Sort -5, 175, r, 4 in decreasing order.
175, 4, r, -5
Let r = 17 - 16. Let n(b) = -2*b**3 + 3*b**2 - 29*b + 56. Let w be n(2). Sort r, 9, w.
w, r, 9
Let y = 5333 - 31999/6. Sort -0.041, 1/3, -2/13, y, 3 in increasing order.
y, -2/13, -0.041, 1/3, 3
Let d = 24701 + -24701.08. Sort 0, d, -1/4, -0.3 in decreasing order.
0, d, -1/4, -0.3
Let r be ((-3)/(-14))/((-1)/(-2)). Let w = 90519 + -4616786/51. Let h = 117/17 + w. Sort h, 3/5, r in decreasing order.
h, 3/5, r
Let v be 35/100 + (-27)/36. Sort v, 6, -7, 3.
-7, v, 3, 6
Let m = 676 + -679. Put 0.4, -14, -1/10, m, -4 in ascending order.
-14, -4, m, -1/10, 0.4
Suppose -3*g = 2*v - 26, 38 = 2*v + g - 4*g. Let u(q) = -v + 1079*q - 17*q**2 - 1112*q - q**3 - q**2. Let h be u(-16). Put -11, h, 2, 4 in increasing order.
-11, h, 2, 4
Let v = -4.93 - 0.07. Let c = -251 - -243. Let q = v - c. Sort -2/7, -8, q in decreasing order.
q, -2/7, -8
Let d = -29/4 - -57/8. Let j = 137906/7 - 19701. Let p be (2/(-4))/(3/2). Put -1, p, d, j in increasing order.
-1, p, j, d
Let h = -3217 + 3216.9. Put h, -1/1758, 0.3 in decreasing order.
0.3, -1/1758, h
Let z(u) = u**3 + 6*u**2 + 7*u - 2. Let y be z(-5). Let a = y + 14. Let m be ((-12)/(-21))/(2/(-14)). Sort a, 3, 1, m.
m, 1, a, 3
Let f = -1.818 + 1.518. Sort 3/4, f, 47/3.
f, 3/4, 47/3
Suppose -p - 3 = 2*p. Suppose i = -3*i - 3*g + 32, 0 = -4*i - 2*g + 28. Sort i, p, -6 in increasing order.
-6, p, i
Let n(d) = -d - 19. Let i be n(-10). Let q(a) = -a - 6. Let f be q(i). Suppose c - 1 = 3*y + 15, -5*c + f*y = -32. Put c, 1, 3, -1 in decreasing order.
c, 3, 1, -1
Let v be ((-44)/(-264))/(1/(-9))*(4 + -6). Sort 4, -1193, -5, v, 5.
-1193, -5, v, 4, 5
Let s = -45911/9 + 5101. Let h be (-1)/55 - (-1)/5. Put h, 2, s in descending order.
2, h, s
Let t = 435.6653 + -0.7653. Let b = t - 399. Let l = -36 + b. Put -1/8, 0.5, 38, l in ascending order.
-1/8, l, 0.5, 38
Let j = -1.7928 - 0.2072. Let l = -89 - -88.8. Sort -5, j, -17/5, l in descending order.
l, j, -17/5, -5
Let x = 0.0832 - -303.9168. Sort x, -5, 2.
-5, 2, x
Let c(y) = y**3 + 4*y**2 - 8*y - 4. Let m be (10/(-4))/((-1)/(-2)). Let g be c(m). Let w = -8751 + 8749. Sort g, w, -3 in decreasing order.
g, w, -3
Let n = 29 + -1. Suppose 24*v = n*v - 16. Suppose v*s - 8*s + 14 = -r, -r + s - 5 = 0. Sort r, 1, -3 in ascending order.
-3, r, 1
Let m = 23 - 112/5. Let r be (18 - 2744/154)/(1 - 2). Put -0.4, 0.3, m, r in ascending order.
-0.4, r, 0.3, m
Suppose 3*n + 1 - 13 = 0. Let u(z) = -z**3 - 52*z**2 - 21*z - 1131. Let o be u(-52). Sort o, n, -4 in ascending order.
o, -4, n
Let d = 12122.5 - 12122. Put 2/11, 0.4, -1, d, -0.4 in decreasing order.
d, 0.4, 2/11, -0.4, -1
Let f = -3.03337 - -0.03337. Let b = -4 + 4. Let v be 21/30 - (-1)/(-2). Sort v, b, f in decreasing order.
v, b, f
Suppose -d + 37 = 18. Let n = 24 - d. Let f(w) = w**3 - 5*w**2. Let j be f(n). Sort -4, -1, j in descending order.
j, -1, -4
Let k be 1/(-2*(-3)/6*5/(-265)). Put k, 0, 1/51 in increasing order.
k, 0, 1/51
Let k = 349 - 349.6. Let t = -73 + 73.4. Put k, -1/3, -8, t in decreasing order.
t, -1/3, k, -8
Suppose 31586*t - 31587*t = 3. Put 5, 1, 7, 37, t in decreasing order.
37, 7, 5, 1, t
Let s = 3599 - 3601. Put 8, s, 5 in descending order.
8, 5, s
Suppose -709 + 693 = -f. Suppose -4*t - t - 32 = -4*y, -t - f = -4*y. Sort y, 4, 31, -1 in decreasing order.
31, 4, y, -1
Let v be (-114 - 12)*(-2)/12. Suppose -8 - 6 = -2*y. Suppose 0 = -14*n + y + v. Put -1, 5, 0, n in descending order.
5, n, 0, -1
Let g = -7.814 + 7.914. Let j = 69 + -68. Put 3/2, -0.25, g, j in increasing order.
-0.25, g, j, 3/2
Let m(c) = -56*c + 227. Let a be m(4). Sort a, -0.028, 4 in descending order.
4, a, -0.028
Let l = 265/386 + -23/1158. Let a = -0.38 - 0.02. Put 3, l, a, 52 in increasing order.
a, l, 3, 52
Let r = -0.09 + 5.09. Let v = -7098 + 7097.89. Sort v, r, -2/11 in descending order.
r, v, -2/11
Suppose -166*c - j - 6 = -165*c, 8 = -4*c + 4*j. Suppose 0*z = z + 2. Sort c, z, 2/11 in descending order.
2/11, z, c
Let y = 16910 - 16924. Sort 5, y, 37, -1 in ascending order.
y, -1, 5, 37
Let w = -0.0258 - -349.0258. Let u = w + -352. Sort u, 1/4, 5, -0.28 in ascending order.
u, -0.28, 1/4, 5
Let p = 1 + -1. Let z(g) = -g**2 + 13. Let t be z(-3). Suppose t*n - 1 = 3*c, 2*c = 3*c + 2*n + 7. Sort 0.1, p, c in decreasing order.
0.1, p, c
Let u = -1/150 + -97/450. Let m = -0.4927 + 0.7927. Sort m, 5, -0.08, u in increasing order.
u, -0.08, m, 5
Let u be (15/9)/(3/9). Suppose -2*m + 1 = u. Let x = 11183 - 11187. Put -3, x, m in descending order.
m, -3, x
Let r = -797.2 - -796.53. Let w = -24 + 25. Sort w, 3, r in decreasing order.
3, w, r
Let b = -196/3 - -67. Let j = -26.44 + -0.36. Let x = -26.9 - j. Sort -4, b, x.
-4, x, b
Let f be (112 - 113)*(25*-2)/(-1). Sort f, -2/45, 0.3 in decreasing order.
0.3, -2/45, f
Suppose 6 + 3 = 3*v. Suppose 4*t - v = 9. Suppose 0 = r - 3*r - 5*a + 28, r + 8 = t*a. Sort -2, 1, r in descending order.
r, 1, -2
Let k = -0.43 + 3.43. Let b = 3.4 - k. Let f = -2.21 + 1.21. Put f, -2, b, 2/7 in ascending order.
-2, f, 2/7, b
Suppose d + d = 16, -59 + 12 = -5*s - 4*d. Suppose 0*m - m - 1 = 0. Let l be m + (-2 + -9)/(-1). Sort l, s, 4.
s, 4, l
Let h = -1615 + 1626. Suppose -6*b + 6 = -4*b. Sort 4, b, -2, h.
-2, b, 4, h
Let m be (-6 - -5)*-3*1. Let u = 803 + -573. Let n = 232 - u. Put m, -4, n, -2 in descending order.
m, n, -2, -4
Let n(w) = 5*w + 97. Let f be n(-18). Suppose 3 = -2*a + f. Sort 5, 6, a in ascending order.
a, 5, 6
Let s = -2487.8 + 2373.8. Sort s, 3, 2.1 in decreasing order.
3, 2.1, s
Let z be 6/(-24) - 1/(-4). Let n(t) = t**2 - 276*t + 14281. Let o be n(69). Sort -1, z, o, 3 in decreasing order.
3, z, -1, o
Let f(r) be the first derivative of -r**3/3 - 13*r**2/2 - 31*r - 115. Let b be f(-5). Put -2, b, 5, 4 in decreasing order.
b, 5, 4, -2
Let b = -0.4 - -0.7. Suppose -5*p + 10 = -95. Suppose p = -5*h + 26. Put h, -1, b, 1/3 in increasing order.
-1, b, 1/3, h
Let f be 3 - (4*(-7)/42 + (-213)/(-63)). Sort f, 0.3, 1/6, 13 in descending order.
13, 0.3, f, 1/6
Let w be (-10 + 19)/(45/15). Sort 16, 0, w, -5, -2 in decreasing order.
16, w, 0, -2, -5
Let t(g) = -413*g + 823. Let o be t(2). Put o, -4, 0.3, -1, -0.44 in decreasing order.
0.3, -0.44, -1, o, -4
Let j = -1795/3598 + -2/1799. Sort j, -16, 10 in increasing order.
-16, j, 10
Let d be (-54)/9*(66/4)/(-3). Suppose -18*i - 3 = d. Sort -1, 5, i in ascending order.
i, -1, 5
Suppose 493 = -15*q - 782. Suppose -12 = -4*n - 32. Put -4, q, n in increasing order.
q, n, -4
Suppose y - 3 = -p + 2*y, -3*p - 2*y = 11. Let q be 17 + -30 - (-15 + -3). Put q, -8, p in descending order.
q, p, -8
Let w = -5470 | {
"pile_set_name": "DM Mathematics"
} |
)/(-415))/(l/(-6))).
83
What are the prime factors of ((-170184)/336)/((-2)/72)?
2, 3, 1013
Let n(p) = 73*p**2 + 40*p + 646. List the prime factors of n(21).
33679
Suppose 20*l = 15*l + 775. Let u = 186 + l. List the prime factors of u.
11, 31
Let s = 18 - 15. Suppose 3*g - 8 = -g + s*v, -4*g + 12 = -2*v. Suppose -566 = -5*l + q, -l + g*q = l - 208. List the prime factors of l.
2, 3, 19
Let f(i) = 287*i**2 - 2*i + 1. Let l be f(1). Suppose 972 = 7*y + l. List the prime factors of y.
2, 7
Let t = -174 - -177. Suppose 3*j + 142 = z, -2*j = -t*z + 284 + 170. What are the prime factors of z?
2, 7, 11
Suppose 5*y - 20847 = -5*z + 4*y, 0 = -3*z + 3*y + 12519. What are the prime factors of z?
2, 3, 5, 139
Let i(c) = -c - 2. Let k be i(-7). Suppose -w = -5*l + 389, -2*l - w - 233 = -k*l. Suppose -2*b + 4*s = -l, -5*b + 5*s = -308 + 93. List the prime factors of b.
47
Let h be ((-5400)/210)/(((-9)/(-14))/(-3)). What are the prime factors of h + (-6)/1 - 4?
2, 5, 11
Let i(m) = 40*m**2 - 144*m + 44. List the prime factors of i(-24).
2, 5, 1327
Suppose 5*t - 2*z = 57578, 2*t - 16709 = 4*z + 6303. What are the prime factors of t?
2, 13, 443
Suppose 0 = y + 169*g - 171*g - 21834, 0 = -3*y + 4*g + 65502. List the prime factors of y.
2, 3, 1213
Suppose 4*q + 2*h = -q + 5592, 3*q - 5*h - 3380 = 0. What are the prime factors of q?
2, 5, 7
Let u(p) = 60*p - 6. Suppose 0 = -5*q - 2*q + 259. Let j = q + -34. What are the prime factors of u(j)?
2, 3, 29
Let s be (-2 - 3 - 15)/(-3 + 1). Suppose 112 = -2*o + s*o. List the prime factors of (-4)/14 - (-74)/o.
5
Let v(r) = 70*r + 2 + 95*r**3 - 89*r**3 - 70*r - 18*r**2. List the prime factors of v(3).
2
Let q be (-1 - 10/(-6))*90. Let f = -51 + q. Suppose 122 = f*m - 7*m. What are the prime factors of m?
61
Let d be (3 + -1)/(4/8). Let k be (6/42 - 0)*0. Suppose -2*o - 4*n = -30, -3*n + k*n = -d*o + 82. List the prime factors of o.
19
Suppose -4*q - 6*q + 283290 = 9*q. List the prime factors of q.
2, 3, 5, 7, 71
List the prime factors of (-3)/(-1)*(-184630)/(-222).
5, 499
Suppose -167*v + 163*v = 3*g - 33064, -5*v = -4*g + 44106. What are the prime factors of g?
2, 13, 53
Let c(q) = 27*q**2 - 26*q - 152. List the prime factors of c(-13).
3, 1583
Let z(w) = 68*w**2 - 51*w - 3. Let o(y) = y**2 + 31*y - 70. Let g be o(-33). List the prime factors of z(g).
1289
List the prime factors of (-20064168)/(-324) - 154/(-99).
2, 7741
Suppose w = -4*h + 91, 5*w - h - 535 = -5*h. Suppose 95 = -w*o + 106*o. Let i = o - -36. What are the prime factors of i?
17
Let j(z) = -2 - 5*z + 94*z**2 - 44*z**2 - 51*z**2. Let r be j(-5). List the prime factors of -1*r/(544/(-274) - -2).
137
Let g(h) = -h**3 - 5*h**2 + 5. Let t be g(-5). Suppose t = 3*n - 19. Suppose 5*x = n*x - 186. What are the prime factors of x?
2, 31
Let q be (-5)/(-2)*(-2 + 60). Let p = 786 + -879. Let j = q + p. List the prime factors of j.
2, 13
Let n = -75 + 68. Let j(u) = -u**2 + 19*u + 17. Let o be j(n). List the prime factors of ((-165)/12)/(o/40 + 4).
2, 5, 11
Suppose 4238 = 30*y - 3562. Suppose y = -15*u + 2690. List the prime factors of u.
2, 3
What are the prime factors of (-12 + 4 + (-357)/(-42))/(1/22836)?
2, 3, 11, 173
Suppose 0*x = x - 12. Let c(b) = b - 3*b - 17 - x - 6*b. List the prime factors of c(-7).
3
Let w(t) = -2*t**2. Let z(f) = -7*f**2 - 2*f - 9. Let v(j) = 3*w(j) - z(j). What are the prime factors of v(7)?
2, 3
Let n = 10471 - 5795. List the prime factors of n.
2, 7, 167
Let g = 187 - 195. What are the prime factors of g/(-10) + 9012/60?
151
Suppose 5900 = 11*n - 4440. Suppose -4*f - n = -5*l + 11, 0 = -3*l - 3*f + 576. What are the prime factors of l?
191
Let h(v) = -v**3 - 36*v**2 - 47*v + 35. Let d(u) = 2*u**3 + 2*u**2 - u - 2. Let t be d(-3). What are the prime factors of h(t)?
5, 7, 13
Let d(y) = 8*y + 210. Let o be d(-26). Suppose 5*v - 7795 = -3*w, o*v - w - 4677 = -v. What are the prime factors of v?
1559
Let j = -51925 + 72712. List the prime factors of j.
3, 13, 41
Suppose 7*n - 89 = -299. Let k(c) = c**2 + 21*c + 64. What are the prime factors of k(n)?
2, 167
Suppose -2*r + 2510 = 3*d - 1642, -2*d + r + 2768 = 0. Let t = 2071 - d. List the prime factors of t.
3, 229
What are the prime factors of 3439156/16*2/14 + (-72)/(-32)?
7, 41, 107
Let x(k) = 7790*k - 1575. List the prime factors of x(6).
3, 5, 3011
What are the prime factors of (-1)/((-4 - -4) + 2/(-25084))?
2, 6271
List the prime factors of (-586)/(-3)*((-90)/75)/((-4)/435).
3, 29, 293
Let c(p) = -p**3 - 55*p**2 - 180*p - 433. What are the prime factors of c(-56)?
3, 4261
Suppose 0 = -15*a + 80*a + 135733 - 972478. List the prime factors of a.
3, 7, 613
Suppose -6851717 = -114*q - 2315315. List the prime factors of q.
13, 3061
Suppose 0*f + 829437 = 42*f - 1692621. List the prime factors of f.
11, 53, 103
Let g be -2 - 192/40 - (-2)/(-10). Let x(v) = -2*v**3 - 10*v**2 + 10*v + 15. List the prime factors of x(g).
3, 47
Let w = -2451 + 1355. Let o = w + 2096. List the prime factors of o.
2, 5
Suppose -3*j = 3*n + 3, -5*n = j - 1 - 10. Suppose n*d = 2*q + 1541, d - 3*q - 532 = -6*q. List the prime factors of d.
11, 47
Let m(r) = -236*r**2. Let q be m(-1). Suppose 98 - 2930 = 24*s. Let t = s - q. What are the prime factors of t?
2, 59
Suppose 27*m = 113*m - 2837828. What are the prime factors of m?
2, 7, 2357
Let o(w) = 7*w - 38. Let d be o(7). Let u(i) = -i**2 + 14*i - 29. Let x be u(d). Suppose -6*t + t - c = -927, 5*t - 917 = x*c. What are the prime factors of t?
5, 37
Let i(c) = -c**3 + 7*c**2 - 12*c + 13. Let m be i(11). Let r = m + 325. Let f = -197 - r. List the prime factors of f.
3
Let g be (4 + -3 + -15)*(1 + 3). Let z = -42 - g. List the prime factors of z/3*39/2.
7, 13
Suppose h = 5*o - 101275, -5*h + 81036 = 4*o - 9*h. What are the prime factors of o?
2, 13, 19, 41
Let c(d) = 2151*d + 80. What are the prime factors of c(3)?
47, 139
Let a = 14454 - 6808. List the prime factors of a.
2, 3823
Suppose -20*s = 5*s - 8025. Suppose -g + s - 6 = 0. List the prime factors of g.
3, 5, 7
Let j(s) = s**3 - 7*s**2 - 2*s + 13. Let m be j(7). Let b be (((-1 + 1)/(-3))/m)/1. Suppose 5*k - 2*k - 378 = b. What are the prime factors of k?
2, 3, 7
Let s(o) = -2*o**3 + 4*o**2 + 4*o. Let r be s(-3). Suppose 0 = -5*v - 179 - 121. Let f = v + r. What are the prime factors of f?
2, 3
Let p(f) be the second derivative of -f**5/20 + f**4/12 - f**3/2 + 358*f**2 - 116*f. What are the prime factors of p(0)?
2, 179
Let o(i) = 194*i - 1432. What are the prime factors of o(91)?
2, 8111
Let m = 2072 - -14983. What are the prime factors of m?
3, 5, 379
Suppose 5522*n - 5539*n = -79781. List the prime factors of n.
13, 19
Let i be (1 - -1) + 16 + 1076. Let r be i*(-3 + 0)/(-6). Suppose 2*w + 2*p - 358 = 0, 2*w - r = -w + 2*p. List the prime factors of w.
181
Let w = 7175 - 2803. List the prime factors of w.
2, 1093
List the prime factors of -5 + (-20)/(-140) + (-126144)/(-21).
2, 3001
Let h(l) = l**2 - 5*l - 3. Let p be h(6). Suppose p*t = -5*b - 5, -5*t - 2*b + 23 = 6. Suppose -67 = t*g - 10*g + o, -3*o + 23 = g. List the prime factors of g.
2, 7
Let n be (-3826)/22 + (-3)/33. Let g = n - -634. What are the prime factors of g?
2, 5, 23
Let i(j) = -11*j + 1. Let z(s) = -s. Let w = 26 + -27. Let r(a) = w*i(a) - 6*z(a). List the prime factors of r(1).
2
Suppose k - 4 - 2 = 5*b, 5*k = -4*b - 86. Let s(d) = -d**3 + 4*d**2 + d + 4. Let t be s(4). List the prime factors of ((-52)/t)/(2 + 29/k).
7, 13
Suppose 4 - 8 = -2*l. Suppose -3*w = -2*b - 6*w - 358, -l*b + 3*w = 334. Let a = -87 - b. What are the prime factors of a?
2, 43
Suppose -166*g + 1447388 = -2247274. What are the prime factors of g?
3, 2473
Suppose v = -3*v + 8. Suppose -2*b + 94 = v*s, 0 = -b - 2*s - s + 37. Suppose -5*n + 143 = -b. List the prime factors of n.
3, 13
Let x be 14/(-35)*3*(-20)/6. Suppose -m + 326 = 3*o, x*m = -0*m + 2*o + 1332. Let i = m + -191. List the prime factors of i.
3, 47
Let o = -1359 + 2575. List the prime factors of o.
2, 19
What are the prime factors of 159224/24 - (-33)/9?
2, 3319
Suppose 0 = -2*v + 2*f + 58, 0*f - 5*f + 107 = 4*v. Let n = v - 24. Suppose -10 = 2*w - 3*c - 118, 216 = n*w + c. What are the prime factors of w?
2, 3
What are the prime factors of (-11)/(-88) + 49/(-8) - (-17874)/3?
2, 3, 31
Let z = -49 - - | {
"pile_set_name": "DM Mathematics"
} |
7, 6115253
What are the prime factors of 1605376057?
23, 3209, 21751
What are the prime factors of 1433807561?
1433807561
What are the prime factors of 5478119649?
3, 608679961
What are the prime factors of 5767045167?
3, 13, 17, 19, 67, 6833
List the prime factors of 193790487.
3, 11, 5872439
What are the prime factors of 171417140?
2, 5, 73, 137, 857
List the prime factors of 15542184.
2, 3, 7, 71, 1303
What are the prime factors of 391241055?
3, 5, 26082737
List the prime factors of 112385032.
2, 1741, 8069
List the prime factors of 300991647.
3, 11, 17, 103, 5209
List the prime factors of 1150901832.
2, 3, 3163, 15161
List the prime factors of 5770820064.
2, 3, 149, 439, 919
List the prime factors of 3581527224.
2, 3, 11, 17, 798023
List the prime factors of 52516832.
2, 947, 1733
List the prime factors of 3285660639.
3, 79, 271, 51157
List the prime factors of 2558748333.
3, 241, 739, 4789
List the prime factors of 1557399151.
7, 11, 29, 697447
What are the prime factors of 450087587?
450087587
What are the prime factors of 1081408691?
11, 3539, 27779
List the prime factors of 1773150469.
13417, 132157
List the prime factors of 85978669.
7, 23, 534029
What are the prime factors of 918172443?
3, 23, 13306847
What are the prime factors of 66949885?
5, 97, 138041
What are the prime factors of 118008598?
2, 29, 43, 47317
List the prime factors of 445614510.
2, 3, 5, 11, 79, 17093
List the prime factors of 216168362.
2, 17, 89, 71437
List the prime factors of 213470153.
13, 23, 54919
What are the prime factors of 1652062378?
2, 79, 83, 263, 479
List the prime factors of 2294783.
2294783
What are the prime factors of 161918005?
5, 43, 79, 9533
List the prime factors of 550934462.
2, 13, 313, 67699
List the prime factors of 640876285.
5, 7, 17, 3727
List the prime factors of 236319122.
2, 13, 699169
What are the prime factors of 73021086?
2, 3, 17, 71, 3361
What are the prime factors of 54074735?
5, 11, 13, 75629
List the prime factors of 390420767.
11, 35492797
What are the prime factors of 122145345?
3, 5, 7, 387763
What are the prime factors of 45616281?
3, 1481, 10267
What are the prime factors of 2266609358?
2, 13, 151, 577333
What are the prime factors of 755276735?
5, 79, 1912093
What are the prime factors of 1693545253?
17, 99620309
List the prime factors of 1022085699.
3, 340695233
List the prime factors of 29595556.
2, 397, 18637
List the prime factors of 240108903.
3, 2887, 9241
List the prime factors of 1044143456.
2, 32629483
List the prime factors of 1053276983.
11, 95752453
What are the prime factors of 6149494239?
3, 7, 37, 113, 70039
List the prime factors of 311665699.
101, 257, 12007
List the prime factors of 270461789.
13, 17, 19, 41, 1571
What are the prime factors of 28537847?
13, 168863
List the prime factors of 43643107.
223, 195709
What are the prime factors of 40710210?
2, 3, 5, 479, 2833
List the prime factors of 181665693.
3, 11, 113, 5413
What are the prime factors of 41891379?
3, 13963793
List the prime factors of 72391813.
13, 71, 107, 733
List the prime factors of 275216443.
47, 1087, 5387
What are the prime factors of 162511790?
2, 5, 7, 23, 193, 523
What are the prime factors of 55017117?
3, 17, 67, 1789
What are the prime factors of 3917807904?
2, 3, 19, 263, 8167
List the prime factors of 539503603.
539503603
List the prime factors of 15368623.
23, 668201
List the prime factors of 5919652575.
3, 5, 193, 136319
What are the prime factors of 5611001929?
13, 17, 19, 1336271
List the prime factors of 136742010.
2, 3, 5, 37, 123191
List the prime factors of 163665679.
163665679
What are the prime factors of 937944405?
3, 5, 19, 83, 13217
List the prime factors of 33480981.
3, 331, 11239
List the prime factors of 4298773421.
29437, 146033
List the prime factors of 854938411.
7297, 117163
List the prime factors of 27237789.
3, 163, 2063
List the prime factors of 2344168589.
7, 59, 71, 79943
List the prime factors of 41585658.
2, 3, 619, 11197
List the prime factors of 4227658031.
293, 14428867
List the prime factors of 473878383.
3, 11, 17, 59, 103, 139
List the prime factors of 1409161786.
2, 523, 1347191
List the prime factors of 413405335.
5, 7, 23, 157, 3271
List the prime factors of 333388508.
2, 31, 2688617
List the prime factors of 107308127.
83, 137, 9437
What are the prime factors of 43372399?
7, 37, 47, 509
What are the prime factors of 1929168689?
7, 97, 281, 10111
List the prime factors of 306243384.
2, 3, 1693, 7537
List the prime factors of 180090686.
2, 1381, 65203
What are the prime factors of 1687635234?
2, 3, 93757513
What are the prime factors of 116843511?
3, 67, 581311
List the prime factors of 6026614084.
2, 113, 13333217
What are the prime factors of 96189307?
37, 47, 55313
What are the prime factors of 809917425?
3, 5, 449, 8017
What are the prime factors of 695492078?
2, 23, 2027, 7459
What are the prime factors of 1989125697?
3, 13, 51003223
List the prime factors of 82367776.
2, 59, 43627
What are the prime factors of 45508711?
17, 73, 36671
List the prime factors of 791471932.
2, 43, 71, 64811
List the prime factors of 153559663.
619, 248077
What are the prime factors of 40213568?
2, 17, 23, 1607
List the prime factors of 179020016.
2, 7, 29, 55117
What are the prime factors of 33081742?
2, 101, 163771
List the prime factors of 524952800.
2, 5, 113, 5807
List the prime factors of 501410713.
501410713
List the prime factors of 229644026.
2, 114822013
List the prime factors of 1164372658.
2, 613, 949733
List the prime factors of 528745371.
3, 7, 11, 29, 78929
What are the prime factors of 220999450?
2, 5, 7, 19, 167, 199
List the prime factors of 6097133066.
2, 23, 271, 489101
What are the prime factors of 143823914?
2, 13, 113, 48953
List the prime factors of 1822205925.
3, 5, 19, 73, 5839
List the prime factors of 98126078.
2, 49063039
What are the prime factors of 224735341?
47, 263, 18181
What are the prime factors of 1003999949?
283, 601, 5903
What are the prime factors of 769491227?
769491227
What are the prime factors of 45404882?
2, 241, 94201
What are the prime factors of 7592328?
2, 3, 105449
What are the prime factors of 53946992?
2, 11, 306517
What are the prime factors of 1108628305?
5, 221725661
What are the prime factors of 1094347928?
2, 101, 1354391
What are the prime factors of 2989259536?
2, 186828721
What are the prime factors of 1212245580?
2, 3, 5, 7, 13, 222023
List the prime factors of 36080327.
79, 157, 2909
What are the prime factors of 122046709?
19, 41, 156671
List the prime factors of 805522624.
2, 89, 103, 1373
What are the prime factors of 1054188638?
2, 41, 179, 71821
What are the prime factors of 3191188023?
3, 4377487
What are the prime factors of 10818671?
23, 43, 10939
What are the prime factors of 7799804979?
3, 2599934993
List the prime factors of 327962169.
3, 61, 107, 1861
List the prime factors of 48152768.
2, 71, 10597
What are the prime factors of 115086929?
115086929
What are the prime factors of 691474809?
3, 19, 31, 491, 797
List the prime factors of 2093227471.
2093227471
What are the prime factors of 107320809?
3, 35773603
List the prime factors of 1750030426.
2, 43, 53, 8929
List the prime factors of 403481003.
6373, 63311
List the prime factors of 72814397.
72814397
What are the prime factors of 501397447?
23, 21799889
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2, 3, 31, 941
List the prime factors of 338475049.
11, 17, 41, 131, 337
What are the prime factors of 40496893?
40496893
What are the prime factors of 350439424?
2, 137, 1249
List the prime factors of 27531541.
41, 671501
What are the prime factors of 431705855?
5, 7, 167, 73859
What are the prime factors of 1163367264?
2, 3, 19, 33569
List the prime factors of 2207582440.
2, 5, 7, 7884223
What are the prime factors of 259029227?
6389, 40543
List the prime factors of 291778023.
3, 23, 311, 13597
List the prime factors of 77759779.
79, 984301
List the prime factors of 9723608.
2, 1215451
What are the prime factors of 47407258?
2, 23703629
What are the prime factors of 62758283?
7, 23, 251, 1553
What are the prime factors of 15065495?
5, 3013099
List the prime factors of 1499190358.
2, 749595179
What are the prime factors of 2262200682?
2, 3, 7, 53861921
List the prime factors of 20464 | {
"pile_set_name": "DM Mathematics"
} |
1, 5
Let z(v) = -v**2 + 5*v + 8. Let c be z(6). Let j(x) be the third derivative of -3*x**c - 1/240*x**5 + 0 + 0*x - 1/24*x**3 + 1/48*x**4. Factor j(s).
-(s - 1)**2/4
Let n(y) = y**2 - 4*y + 4. Let q(m) = -4*m**2 + 16*m - 16. Let o(u) = 9*n(u) + 2*q(u). Factor o(g).
(g - 2)**2
Factor -1/2*s + 1/6*s**3 + 1/3*s**2 + 0.
s*(s - 1)*(s + 3)/6
Let k(o) be the third derivative of 0*o**3 - 1/210*o**7 + 1/336*o**8 + 0*o**4 + 0 + 1/60*o**5 - 4*o**2 - 1/120*o**6 + 0*o. Factor k(t).
t**2*(t - 1)**2*(t + 1)
Let m be ((-4)/6)/(12/(-126)). Suppose -12*a**4 - 31*a**4 + 15*a**4 - 9*a**5 - m*a**5 + 8*a**3 = 0. Calculate a.
-2, 0, 1/4
Let f = 15 + -13. Let v be 5/(-15)*(1 - f). What is n in 1/3*n**4 + 1/3*n**3 - v*n - 1/3*n**2 + 0 = 0?
-1, 0, 1
Let j(s) be the first derivative of s**5/150 - s**4/15 + 4*s**3/15 + 5*s**2/2 + 6. Let z(w) be the second derivative of j(w). Factor z(a).
2*(a - 2)**2/5
Let f(l) be the first derivative of l**6/30 + l**5/5 + 7*l**2/2 + 3. Let y(n) be the second derivative of f(n). Solve y(h) = 0.
-3, 0
Let n(f) be the third derivative of -f**5/150 - f**4/60 + 6*f**2. Solve n(a) = 0 for a.
-1, 0
Let j be 24/14 - 28/(-49). Factor 3*l**3 - j*l**2 + 0 - 9/7*l**4 + 4/7*l.
-l*(l - 1)*(3*l - 2)**2/7
Suppose 0 = -m + 2*g + 6, -2*m - 2*g - 3*g = 15. Let a(u) be the third derivative of m*u**3 + 1/6*u**5 + 0*u - 1/6*u**4 + 0 - 2*u**2. Factor a(l).
2*l*(5*l - 2)
Determine f so that -3 - 47*f + 2*f - 50*f**2 + 5 + 3 = 0.
-1, 1/10
Factor 128/3 + 16/3*g + 1/6*g**2.
(g + 16)**2/6
Let t(d) be the third derivative of 0*d**3 + 1/360*d**6 + 1/180*d**5 + 0*d + 0*d**4 + 5*d**2 + 0. Solve t(q) = 0.
-1, 0
Factor -2/3*g**3 - 32/3*g - 16/3*g**2 + 0.
-2*g*(g + 4)**2/3
Let r = -6 + 10. Let i be (8/(-3))/r*-3. Factor -1 + 4*n**3 + 1 + 2*n**i - 4*n - 2.
2*(n - 1)*(n + 1)*(2*n + 1)
Let t be (2 + (-36)/8)/(-1 + -4). Let a(b) be the first derivative of 0*b - 1 + 2/3*b**3 + 1/4*b**4 + t*b**2. Factor a(i).
i*(i + 1)**2
Let i = 29 + -21. Let s = i + -6. Determine j, given that -4*j**5 - s*j**4 + 3*j**5 - j**3 + 0*j**3 = 0.
-1, 0
Let i(q) be the third derivative of q**5/270 + q**4/36 + 2*q**3/27 + 3*q**2. Find v such that i(v) = 0.
-2, -1
Let x(m) be the first derivative of -m**5/35 - m**4/28 + m**3/21 + m**2/14 + 20. Factor x(v).
-v*(v - 1)*(v + 1)**2/7
Suppose 5*k + 107 = 3*z, -4*z - 5*k = -97 + 1. Let l = z - 86/3. Let 1/3*n + 1/3*n**4 - 1/3*n**2 + 0 - l*n**3 = 0. Calculate n.
-1, 0, 1
Let z be (-42)/(-12) + 2/4. Factor 10*m**z - 3*m**4 - 4*m**4 - 2*m**3 - m**3.
3*m**3*(m - 1)
Suppose -33 = -3*p + 3*w, -4*w = -p - w + 21. Suppose p*d - d = 0. Solve 6/5*z - 4/5 + d*z**2 - 2/5*z**3 = 0 for z.
-2, 1
Let r(k) = 2*k**2 + 3*k + 4. Let n(x) be the third derivative of -x**4/24 - x**2. Let q(f) = 3*n(f) - r(f). Factor q(h).
-2*(h + 1)*(h + 2)
Suppose -4*q = r - 6 - 4, -6 = -3*q. Factor 1/6*s**3 + 1/6*s**r - 1/6*s - 1/6.
(s - 1)*(s + 1)**2/6
Let q(b) = 3*b**4 - 12*b**3 - 20*b**2 - 36*b - 20. Let x(l) = 5*l**4 - 23*l**3 - 41*l**2 - 71*l - 39. Let i(v) = -7*q(v) + 4*x(v). Solve i(z) = 0.
-2
Let r be ((-2)/25)/(21/(-10)). Let x(k) be the second derivative of 1/21*k**3 + 1/147*k**7 + 0*k**2 - r*k**6 - 2/21*k**4 + 3/35*k**5 + 0 + k. Factor x(w).
2*w*(w - 1)**4/7
Let f be (-6)/2*80/(-24). Let u be 8/(-6)*(-15)/f. Determine p, given that 3*p**2 + 3 - 2 - 4 + 0*p**u = 0.
-1, 1
Let g(y) be the third derivative of 0*y**3 + 1/20*y**5 + 0*y**4 + 3/70*y**7 + 0*y + 0 - 1/112*y**8 - 3*y**2 - 3/40*y**6. Factor g(p).
-3*p**2*(p - 1)**3
Let j(o) be the second derivative of 0 + 9/20*o**4 - 7/10*o**3 - 3/5*o**2 - 4*o. Determine a, given that j(a) = 0.
-2/9, 1
Suppose -4 = b - 0*l + 2*l, b = 5*l + 10. Factor 0 - 2/3*d**3 + b*d - 2/3*d**2.
-2*d**2*(d + 1)/3
Suppose -6 = -4*a - 62. Let i = a + 43/3. Factor -1/3*o + i*o**3 - 1/3*o**2 + 0 + 1/3*o**4.
o*(o - 1)*(o + 1)**2/3
Factor 1 - 1/2*v**2 + 1/2*v.
-(v - 2)*(v + 1)/2
Let u(t) = t**3 + 2*t**2 - 4*t - 4. Let r be 0/(3*1/3). Let z = -5 + r. Let p(h) = h**3 + 2*h**2 - 5*h - 5. Let x(d) = z*u(d) + 4*p(d). Factor x(q).
-q**2*(q + 2)
Suppose 2/3*p**3 + 0 - 2/3*p + 0*p**2 = 0. What is p?
-1, 0, 1
Factor 1/5 - 13/5*t + 12/5*t**2.
(t - 1)*(12*t - 1)/5
Suppose -4*j + 11 = -4*q + 35, 0 = j + 4. Let a(y) be the second derivative of 0 - 1/60*y**6 + 2*y + 1/12*y**3 + 0*y**q + 1/24*y**4 - 1/40*y**5. Solve a(g) = 0.
-1, 0, 1
Let y(z) be the second derivative of z**4/4 - 7*z**3/6 - 3*z**2 + 2*z. Factor y(d).
(d - 3)*(3*d + 2)
Factor -41*w**2 - 16*w**3 + 11783*w - 2*w**4 + 7*w**2 - 11803*w.
-2*w*(w + 1)*(w + 2)*(w + 5)
Factor -3*d**4 + 16*d**3 + 63*d**4 + 324*d**5 + 84*d**4.
4*d**3*(9*d + 2)**2
Let a(f) = -f**2 - 3*f + 2. Let i(m) = 33 - 22*m**2 + 7*m**2 - 58*m + 10*m. Let l(u) = -33*a(u) + 2*i(u). What is k in l(k) = 0?
-1, 0
Let b = -4 + -1. Let n be (-18)/b + (-3)/5. Factor 0*w**2 + 2/3 + 1/3*w**n - w.
(w - 1)**2*(w + 2)/3
Let g = -3715487/672 + 5529. Let x(u) be the third derivative of 0*u**5 - g*u**8 + 0*u**3 - 1/210*u**7 + 0*u**4 + 0*u - 1/240*u**6 + 0 - u**2. Factor x(j).
-j**3*(j + 1)**2/2
Suppose 0 = 15*x - 17*x. What is i in 0*i + x + 2/5*i**2 + 2/5*i**3 = 0?
-1, 0
Let n = -118 + 120. Factor 0*b + 49/5*b**5 + 0 - 28/5*b**4 + 0*b**n + 4/5*b**3.
b**3*(7*b - 2)**2/5
Let t(x) = -10*x**3 - 10*x**2 + 5*x + 25. Let w(o) = -11*o**3 - 9*o**2 + 6*o + 26. Let d(b) = -6*t(b) + 5*w(b). Find h, given that d(h) = 0.
-2, 1
Let f be 0/(-1) + -1 + 13. Let a(k) = k**2 - 2*k - 2. Let q be a(-4). What is p in f*p**2 - 6*p**5 - 2 - p + 0*p + 3*p - 28*p**3 + q*p**4 = 0?
-1/3, 1
Let y(o) be the third derivative of o**7/70 + 3*o**6/40 + o**5/20 - 3*o**4/8 - o**3 + o**2. Find k, given that y(k) = 0.
-2, -1, 1
Let w(r) = r**2 + 2*r - 3. Let o = 2 - 0. Let n be w(o). Factor -h**3 - 2*h**5 + h**n - 3*h**4 + 5*h**4.
-h**3*(h - 1)**2
Let q be (-2 - -7)*-1*(-3 - -2). Let b(x) be the second derivative of 0 - 1/165*x**6 + 3/110*x**q + 0*x**2 - 3*x - 1/22*x**4 + 1/33*x**3. Factor b(s).
-2*s*(s - 1)**3/11
Suppose 0 = 22*j - 10 - 34. Let q(u) be the third derivative of 1/84*u**4 + 1/210*u**5 + 0*u**3 - 4*u**j + 0 + 0*u. Suppose q(v) = 0. Calculate v.
-1, 0
Let w = 4 - 10. Let z be (-20)/w*(-6)/(-15). Factor 4/3*m**3 - 2/3 + 0*m**2 + 2/3*m**4 - z*m.
2*(m - 1)*(m + 1)**3/3
Let o(w) be the first derivative of 0*w**3 - 1/90*w**5 + 1/36*w**4 + 0*w + w**2 + 2. Let f(t) be the second derivative of o(t). Determine a so that f(a) = 0.
0, 1
Find x, given that 0*x + 2*x**3 + 0 + 2/3*x**2 = 0.
-1/3, 0
Let d(l) be the second derivative of l**4/18 - 8*l. Factor d(g).
2*g**2/3
Suppose -2*i = i - 15. What is a in 5*a**3 + 30*a**4 + 4*a + 38*a**3 + 11*a**i - 4*a**5 + 24*a**2 = 0?
-2, -1, -2/7, 0
Suppose 0 = 2*u - 3*p - 4, 3*u + p - 5 = 1. Suppose -4*t + 3*t = -4*q, q - 2*t = 0. Suppose 0 + q*i - 1/3*i**3 - 1/3*i**u = 0. Calculate i.
-1, 0
Determine v, given that -2/3*v**3 - 2/9*v**4 - 4/9*v**2 + 0*v + 0 = 0.
-2, -1, 0
Let k(c) = -2*c**2 - 1 - 2 + 7*c**3 + 9*c**2 + 2*c - c. Let z(t) = -6*t**3 - 7*t**2 + 2. Let w(y) = -4*k(y) - 6*z(y). Determine v so that w(v) = 0.
-2, 0, 1/4
Let a(b) be the first derivative of b**4 - 28*b**3/3 - 17. Let a(t) = 0. What is t?
0, 7
Let a(i) be the first derivative of -i**3/18 + i**2 + 13*i/6 - 34. Let a(w) = 0. What is w?
-1, 13
Suppose s + 3*s = 20. Let w be (-2)/(-5) - 2/s. Let 0*o**4 + w*o**5 + o**4 + o**5 = 0. Calculate o.
-1, 0
Let w(x) = 5*x**2 - 15*x - 7. Let i(v) = -7*v**2 + 23*v + 10. Let g(q) = 5*i(q) + 8*w(q). Let t(r) = 4*r**2 - 4*r - 5. Let n(m) = -5*g(m) + 6*t(m). Factor n(h).
-h*(h - 1)
Let k(f) be the third derivative of -f**8/3360 - f**7/630 - f**6/360 + 5*f**4/24 - 6*f**2. Let t(a) be the second derivative of k(a). What is b in t(b) = 0?
-1, 0
Suppose -18 - 57 = 5*k. Let x be 4*(k/(-6))/5. Factor 3*t + 0 + 2 - 3*t**2 + x*t.
-(t - 2)*(3*t + 1)
Let p be (-6)/10 + 40/25. Let f = p + 2. Factor -6*s**2 - 3*s + f*s**4 + s - 5*s**4 - 6*s**3.
-2*s*(s + 1)**3
Suppose 3 = 4*a - 9, -5*d = a - 78. Let z = d - 13. Factor 2/9*b**z + 2/9*b**4 + 0 - 4/9*b**3 + 0*b.
2*b**2*(b - 1)**2/9
Let g(k) be the second derivative of k**7/42 + k**6/15 - k**4/6 - k**3/6 - 13*k. Factor g(j).
j*(j - 1)*(j + 1)**3
Suppose 2*x - 22*r = -18*r + 12, 4*r + 4 = -2*x. What is k in 2/3 + 2*k**x - 2/3*k**3 - 2*k = 0?
1
Factor 3/2*t + 0 - 3/8*t**2.
-3*t*(t - 4)/8
Let c = 37 + -30. Suppose 0 = -2*m + c*m. | {
"pile_set_name": "DM Mathematics"
} |
-3
Suppose 14*l - 10*l + 5*c - 255 = 0, c = -3*l + 205. Solve b + l - 73 = 0 for b.
3
Suppose 0 = 5*g - 25, -2*g + 45 - 27 = 4*c. Solve m + m = -c for m.
-1
Suppose 4*h - 3*t = 465, -4*h + 3*t + 455 = -2*t. Suppose 5*l = 4*n - 110, 0*n + 2*n = 5*l + h. Let b = l + 26. Solve -m + 1 + 0 = b for m.
1
Let s = -9 + 25. Let r = -28 - -28. Solve -4*w + r = -s for w.
4
Suppose -3*w = -4*w - 2, -3*n = -3*w - 24. Let l be (53 + -13)/(-2*(1 - 2)). Solve -l = g - n*g for g.
4
Let k(a) = 2*a**3 + 34*a**2 + 34*a + 34. Let u be k(-16). Solve -w - u = w for w.
-1
Suppose 74 = -5*w + 94. Let p be (7 - w) + 4 + -1 + -4. Solve p*j + 25 = 7*j for j.
5
Let o = 11 - 12. Let d(q) be the third derivative of -q**4/24 + q**3/6 + 2*q**2. Let a be d(o). Solve 11 - a = 3*f for f.
3
Let i be -13 + 6 + 11 + 0. Solve i*c + 15 = 7*c for c.
5
Suppose -34 + 39 = v + f, -2*f = -2*v + 6. Suppose 2 = j + 1. Solve j = 3*w + v for w.
-1
Let c = -198 - -288. Let m = -90 + c. Solve -4*u + 8 = -m*u for u.
2
Let u(j) = -j**3 - j**2 + 10. Let r be u(0). Let q(d) = -d**3 + 7*d**2 + 7*d + 9. Let m be q(8). Let n be m - 4*(1 - (-3)/(-2)). Solve n*i - r = -2*i for i.
2
Let c be (-5)/2*(0 - 12). Let x be (c/(-35))/(9/(-42)). Suppose -q + x = 2. Solve q*v - 1 = 3*v for v.
-1
Suppose h - 5*x + 25 = 4*h, -2*h - 5*x = -15. Solve -5*v = -h*v - 25 for v.
-5
Let y(x) = x**3 - 5*x**2 + x - 5. Suppose -15 = -43*m + 40*m. Let z be y(m). Solve z = -2*p + p for p.
0
Let i(c) be the first derivative of -c**4/4 + 4*c**3 - 6*c**2 + 12*c - 96. Suppose 0 = 7*j - 3*j - 44. Let g be i(j). Solve g = -v - 1 for v.
-2
Let p(n) = n**3 - 19*n**2 + 33*n + 24. Let s be p(17). Let l = 10 - s. Let g = 8 + -5. Solve 0 = g*r + l for r.
-1
Let r = 40 - 21. Suppose -s + 4*c = r, 9*c = 3*s + 4*c + 71. Let f = s + 39. Solve l = -3*l - f for l.
-3
Let a be 54/243 + 480/27. Solve -5*x + a = x for x.
3
Let t = 445 - 445. Solve 4*p + t*p = -4 for p.
-1
Let a(f) = f**3 + 7*f**2 - 3*f - 17. Let b be a(-7). Suppose -4*t + 8 = -4*h, -t + b*t + 5*h = 6. Solve -3*n + 14 - t = 0 for n.
4
Suppose -2*t = -3*t - 4. Let r = 5 - t. Solve -3*b - r = -0*b for b.
-3
Suppose 5*q - 32 - 48 = 0. Suppose -2*w = -4*c + 34, c - 2*c - 2*w + q = 0. Let n be (-35)/c*(-4)/7. Solve -r = r - n for r.
1
Suppose 5*z = -2*o - 19, -10 = -3*o + z + 4. Suppose -3*j = -5*d + 82 - 27, -3*d = 5*j + 1. Suppose d*x + 0*x = 0. Solve -o*g = -x - 9 for g.
3
Let s(a) = 3*a**2 - 38*a - 5. Let x be s(13). Solve -5*f + x = 23 for f.
-3
Let r(t) = 7*t**2 - 3*t - 5. Let v be r(-2). Let i be (v - 33)*6/(-8). Solve -2*s + i = s for s.
1
Let d = 166 - 162. Solve d*x + 5 = -3 for x.
-2
Let y = -53 + 54. Let o be (2 + 0)/(y/2). Solve 0 = -k - o*k + 20 for k.
4
Let m be (-247)/7 + 8/28. Let g = m - -23. Let c = g + 18. Solve 4*n + c = n for n.
-2
Let m = -1 - -5. Suppose -8 = 4*a, -4*f + 26 = -17*a + 16*a. Solve l = -m + f for l.
2
Let s be 62/31*5/2. Solve 2*c - 3*c = -s for c.
5
Suppose -5*b + 29 = 3*y, -5*b = 6*y - 4*y - 26. Let u = -5 + 25. Let v(a) = a**2 - 4*a - 5. Let g be v(5). Solve g = -b*s - s + u for s.
4
Let s(b) = b**3 + 6*b**2 + 3*b + 1. Let r(u) = -u**2 - 2*u + 10. Let k be r(3). Let t be s(k). Solve 3*v = t - 8 for v.
1
Let l(j) = -3*j**2 + 5*j - 4. Let g be l(2). Let i be (-1 - -1)*(-3 + (-15)/g). Solve i = -3*n + 12 + 3 for n.
5
Suppose 4*w + y = -y + 14, -2*y = 3*w - 13. Let p = 5 - w. Suppose s - 6 = -p. Solve 2 = s*i - 0*i for i.
1
Let s(h) = 9*h**3 + 27*h**2 + 20*h - 6. Let q(v) = 4*v**3 + 13*v**2 + 10*v - 3. Let p(j) = -7*q(j) + 3*s(j). Let l be p(-9). Solve -3*t - l = t for t.
-3
Let b be ((-12)/8 + 2)*(7 + -1). Suppose b*x - 227 + 221 = 0. Solve 0*f = -x*f + 4 for f.
2
Let v(i) = -2*i**3 - 15*i**2 - 5*i + 16. Let t be v(-7). Solve -l + t = 4 for l.
-2
Let o(a) = 4*a**2 - 84*a + 71. Let g be o(24). Solve -g + 367 = 2*s for s.
4
Suppose k - 35 = -3*y, 5*k = y + 3*k - 14. Solve 9*p - y*p = 6 for p.
-2
Let o(a) = -a + 16. Suppose -3*r = -2*w + 20, -2*w + 0*w - 4*r + 20 = 0. Let q be o(w). Suppose -k + 1 = -q. Solve k*x = 2*x for x.
0
Let f = 149 + -163. Let l be -1 + (-3 - -2) - -18. Let y = l + f. Solve y*n - 1 = n for n.
1
Let x = 49 - 50. Let a be (x/(-2))/((-1)/(-6)). Solve a*q - 25 = -2*q for q.
5
Let k(o) = 6*o**3 - 2*o**2 - 2*o + 2. Let n = 32 + -30. Let j be k(n). Let r = j - 29. Solve 0 = 4*g - r - 7 for g.
4
Let d(n) = -5*n**2 + 30*n + 2. Let w be d(6). Suppose -3*z - 2*m + 20 = -m, 0 = -w*z + m + 15. Solve -x - z = -2 for x.
-5
Suppose -3*x = y - 17, 0 = -5*y - 3 - 2. Solve x*s - 10 = s for s.
2
Let h = -461 + 481. Solve -19*b = -15*b + h for b.
-5
Suppose -3*j + 0*j + 75 = 0. Let d be ((-10)/(-6))/(2/6). Let a(l) = -l - 5. Let s be a(-5). Solve -j = d*z - s*z for z.
-5
Suppose -18 = -4*q - 3*u + 1, -3*u + 11 = 2*q. Solve 0 = -0*g - q*g - 12 for g.
-3
Suppose 5*j = -5*n + 25, 6*n = 4*n - 3*j + 11. Suppose 3*y = -4*d + 10, 3*d - 16 = 2*y - 0*d. Let m = 7 + y. Solve m = -3*c - n for c.
-3
Let s(o) be the first derivative of o**3/3 + 6*o**2 + 3*o - 1. Let x be s(-12). Suppose -h = -7 + x. Solve -3*n - 2 = h for n.
-2
Let u(o) = -o**3 + 5*o**2 + 6*o - 2. Let q be u(6). Let f be (-4)/(-14) - (-51)/(-7). Let y = q - f. Solve -h + 0 = y for h.
-5
Let w = 12 + -10. Suppose -3*y + 2*y - 18 = -4*z, -z - w*y = 0. Suppose 5*f + z*a - 25 - 7 = 0, 42 = 4*f - 5*a. Solve l = -l - f for l.
-4
Suppose -5*l = -28 + 3. Suppose -3 - 17 = -l*y. Suppose 0 = 4*t - 27 + 11. Solve 2*s + t = -y for s.
-4
Suppose -5*a - 2 = -82. Let l = a - 8. Solve -4 = 3*c + l for c.
-4
Suppose -5*z + 295 = -5*y, 4*z - 237 = 4*y - z. Let g = -54 - y. Solve g = -o + 3*o for o.
2
Let c(j) = j**2 - 6*j + 11. Let b be c(6). Solve -4*l + b = -5 for l.
4
Let q be (-6)/(((-21)/4)/(-7)). Let w be (-5)/10*(-4 + q). Solve 3*c - 15 = w*c for c.
-5
Suppose 167*y - 4 = 168*y, 0 = x + 4*y + 11. Let r = 18 + -12. Solve x*k = 2*k + r for k.
2
Let g(w) = w**2 + 9*w - 22. Let q be g(2). Solve q*r = -r for r.
0
Suppose 11*j - 46*j = -420. Solve -4*x = -j + 8 for x.
1
Let c = -1893 + 1897. Solve 0 = -6*h + 4 - c for h.
0
Let d(k) = -5*k**2 + 26*k - 4. Let i be d(5). Let o be 6*i/4*(3 + -1). Solve -2*z = o*z for z.
0
Suppose -2*a + a + 3 = 0. Let u be (-3)/6 - a/(-6). Suppose -4 = -3*b + 5. Solve -3 = -u*c - b*c for c.
1
Let z be (-6)/((-1)/(2*3/6)). Suppose -z*d = 3*d + 8*d. Solve -5*h + d = 5 for h.
-1
Suppose 0 = -2*c - 4*q - 74, 3*c - c + q + 83 = 0. Let t = c + 48. Let k = -2 - -2. Solve -t*s - 1 - 4 = k for s.
-1
Let s = 18 + -15. Let l = 84 - 84. Solve l = s*i - 4*i for i.
0
Let o be 66/12 - 6/(-4). Solve o*m = m + 12 for m.
2
Suppose 8 = 2*y, -4*y = 4*d - 8*d - 4. Solve -27 = 12*v - d*v for v.
-3
Let a = 45 - 43. Let g be (-2)/(-4)*(-3 - -7)*a. Solve m - g = -m for m.
2
Let a be (-4)/(-14) + (-480)/(-84). Let w be (-2)/(-4) - a/(-4). Suppose 0 = 4*y - 16, -x - 4*y + 2*y + 16 = 0. Solve 0 = w*h + x for h.
-4
Let y(i) = i**3 - 6*i**2 - 8*i + 7. Let o be y(7). Suppose -2 = -3*k + k. Solve -v + k = -o*v for v.
1
Let b be (-64)/(-160) + 2/(-5). Solve b = 2*d + 7 + 3 for d.
-5
Suppose -4*w + 36 = -2*w - 3*b, 4*w - 60 = 3*b. Suppose 4*s = -5*r - 55, -3*r + s - 3*s = 31. Let z = r + w. Solve 1 = -4*y + z for y.
1
Let l = -935 + 938. Solve -2 - l = q for q.
-5
Let i(q) be the third derivative of q**5/60 - q**4/2 + q**3/3 + 6*q**2. Let b be i(12). Solve -2*z - b*z = -4 for z.
1
Let x = 11 + -9. Suppose -2*p - y + x = -p, 3*y - 3 = 0. Suppose -4*k - 5*v = -17, 2 - 6 = -4*v. Solve 4*d + p + k = 0 for d.
-1
Let h(q) = -2*q - 15. Suppose 3*l = 2*r + 6*l + 7, 3*r - 4*l = -36. Let d be h(r). Solve 0 = -c + d + 1 for c.
2
Let o be -5 + (-4 - -136)/4. Solve 1 = -o*j + 27*j for j.
-1
Let u be -1 + 18/30 - 66/(-15). Solve -9*r - u = 41 for r.
-5
Suppose -x + 2 = 0, -4*s + 4*x + 13 = 9. Solve 0 = -2*b - s*b + 25 for b.
5
Let r = 31 + -31. Solve -v - 1 - 3 = r for v.
-4
Suppose -3034*t + 3040*t - 198 = 0. Solve t - 66 = 11*q for q.
-3
Let k be (-36)/15*-5*1. Let x be 3/((-2)/15 - (-1)/3). Suppose -4*m + x = 3*r, -2*m = -2*r + 8 + 2. Solve 0 = r*f + 8 + k for f.
-4
Let o(c) = -c - 37. Let r be o(-35). Let s(m) = m**3 + 4*m**2 + m - 3. Let g be s(-3). Let a be -7 + g - (-9 - r). Solve j = a*j for j.
0
Let c be (20/(-25))/(10/(-25)). Suppose 0*p = c*p. Solve 0 = -h - p*h - 2 for h.
-2
Let k be ((-9)/(-6))/((-27)/(-72)). Su | {
"pile_set_name": "DM Mathematics"
} |
-30800000
What is 0.0019498886 rounded to 4 dps?
0.0019
Round -2367.2829 to the nearest integer.
-2367
Round 13987223 to the nearest one thousand.
13987000
Round -0.00051204516 to 5 dps.
-0.00051
What is -0.01671254969 rounded to 6 dps?
-0.016713
Round -0.95264697 to 4 decimal places.
-0.9526
What is -67332.17 rounded to the nearest 10000?
-70000
Round -0.267823902 to one dp.
-0.3
What is 454237.23 rounded to the nearest 1000?
454000
What is 22540772.91 rounded to the nearest one hundred thousand?
22500000
What is 0.000013926777 rounded to 7 dps?
0.0000139
What is 0.112505 rounded to 2 dps?
0.11
What is -0.00216475478 rounded to 7 decimal places?
-0.0021648
Round -17276.1801 to the nearest one hundred.
-17300
Round 611.591335 to the nearest integer.
612
What is -38.34842315 rounded to 2 dps?
-38.35
Round 0.18334537 to 4 decimal places.
0.1833
What is 1.146370839 rounded to 0 dps?
1
Round 238616536.2 to the nearest ten thousand.
238620000
Round -0.001999334446 to 4 dps.
-0.002
Round -25973.53 to the nearest 10000.
-30000
What is -84.110158 rounded to two decimal places?
-84.11
Round 0.8693457 to 1 dp.
0.9
Round -28497067670 to the nearest 1000000.
-28497000000
Round 3656991643 to the nearest one hundred thousand.
3657000000
Round 0.83155662 to four decimal places.
0.8316
What is 2814800.31 rounded to the nearest one hundred?
2814800
Round -7976947590 to the nearest 1000000.
-7977000000
What is 387.2450173 rounded to the nearest 10?
390
Round -3.999017 to zero dps.
-4
What is 0.000149658054 rounded to 5 decimal places?
0.00015
What is -2151056.405 rounded to the nearest 10000?
-2150000
What is -43780.4204 rounded to the nearest one thousand?
-44000
Round 1421391.76 to the nearest 10000.
1420000
Round -2531.26279 to the nearest ten.
-2530
Round 0.1521159543 to two decimal places.
0.15
What is -11730.7112 rounded to the nearest 1000?
-12000
Round 6.0270101 to 2 dps.
6.03
Round 2434756854 to the nearest 1000000.
2435000000
What is 0.00002285703612 rounded to 7 dps?
0.0000229
Round 0.000136291469 to 7 dps.
0.0001363
What is -206139.79 rounded to the nearest one hundred thousand?
-200000
What is 0.0045092879 rounded to 4 dps?
0.0045
What is 0.000650198178 rounded to 4 dps?
0.0007
What is 821834.343 rounded to the nearest ten thousand?
820000
What is -11723.248 rounded to the nearest one thousand?
-12000
What is 107.520965 rounded to 2 decimal places?
107.52
What is 188156365.7 rounded to the nearest one thousand?
188156000
What is 5298.6485 rounded to zero dps?
5299
What is -16060887700 rounded to the nearest one million?
-16061000000
What is 148.226283 rounded to two decimal places?
148.23
What is -13478514.4 rounded to the nearest 100000?
-13500000
What is -916082.3 rounded to the nearest 1000?
-916000
Round -0.002385994112 to six dps.
-0.002386
What is 60090.40628 rounded to the nearest integer?
60090
What is -144912.5837 rounded to the nearest one hundred?
-144900
Round 0.007750771344 to 3 decimal places.
0.008
What is 26393.6744 rounded to the nearest one thousand?
26000
What is -0.825475876 rounded to one dp?
-0.8
What is -7169.4584 rounded to the nearest ten thousand?
-10000
What is -1740.61052 rounded to 0 dps?
-1741
What is -38270864.24 rounded to the nearest 10000?
-38270000
Round -74.968935 to the nearest ten.
-70
Round -61786591.02 to the nearest 1000000.
-62000000
What is -0.00004891507015 rounded to five decimal places?
-0.00005
What is -2969764.1071 rounded to the nearest 100000?
-3000000
Round -0.0154466522 to six decimal places.
-0.015447
Round -5.2886112 to one decimal place.
-5.3
What is 0.34012354 rounded to four dps?
0.3401
Round 0.010165885388 to three decimal places.
0.01
Round -0.2728810822 to five dps.
-0.27288
Round 83137.4157 to the nearest one hundred.
83100
Round -2.6604276 to one dp.
-2.7
Round 224675784.84 to the nearest 10000.
224680000
Round 1.745458598 to the nearest integer.
2
What is 1947.099337 rounded to 1 decimal place?
1947.1
What is -11725402900 rounded to the nearest one million?
-11725000000
Round 22.91087795 to two decimal places.
22.91
What is 215.567697 rounded to the nearest ten?
220
What is -0.0004461506378 rounded to 4 dps?
-0.0004
What is 0.0078994766 rounded to six dps?
0.007899
Round -2231204.1 to the nearest one thousand.
-2231000
Round -145805562.1 to the nearest 100000.
-145800000
Round -0.00004938519737 to seven dps.
-0.0000494
What is -13095975210 rounded to the nearest 1000000?
-13096000000
What is -0.0002133453558 rounded to six decimal places?
-0.000213
Round -30595943 to the nearest one hundred thousand.
-30600000
Round 118262.0221 to the nearest ten.
118260
Round -0.0000013055844 to 7 decimal places.
-0.0000013
Round -137.2139523 to zero decimal places.
-137
Round 0.00160803126 to four dps.
0.0016
What is 0.000013924484 rounded to 5 dps?
0.00001
What is 54949.0236 rounded to the nearest 10000?
50000
Round 2.01030373 to 4 dps.
2.0103
What is 1.96067633 rounded to 4 dps?
1.9607
Round 1.4130824339 to five decimal places.
1.41308
Round -6348834.96 to the nearest 10000.
-6350000
Round -21.15093128 to three decimal places.
-21.151
What is 0.14123967 rounded to 2 decimal places?
0.14
What is 0.00092421539 rounded to five dps?
0.00092
Round -143325.443 to the nearest 10.
-143330
What is 326.9178521 rounded to the nearest integer?
327
Round -0.00000134874064 to seven decimal places.
-0.0000013
What is -52669798.6 rounded to the nearest ten thousand?
-52670000
What is 0.0000156979925 rounded to 5 decimal places?
0.00002
What is -82996178.4 rounded to the nearest 1000000?
-83000000
What is 0.0000292734727 rounded to 6 decimal places?
0.000029
Round 44527419.79 to the nearest one hundred thousand.
44500000
What is 633.774569 rounded to 1 dp?
633.8
What is 74.997788 rounded to zero decimal places?
75
What is 0.00056332586 rounded to seven dps?
0.0005633
Round -3.88066996 to 3 dps.
-3.881
Round -0.01375770047 to four dps.
-0.0138
What is 685.007742 rounded to the nearest integer?
685
Round 414131.142 to the nearest one thousand.
414000
What is 0.051192523 rounded to three dps?
0.051
What is -0.137067128 rounded to 2 decimal places?
-0.14
What is -10600325.528 rounded to the nearest one hundred thousand?
-10600000
Round 11.0482096 to three decimal places.
11.048
Round 0.00826387031 to 4 decimal places.
0.0083
Round 1.01649566 to 2 dps.
1.02
Round -0.00033711531 to 6 decimal places.
-0.000337
Round -0.197865556 to five dps.
-0.19787
Round -14.79094295 to three decimal places.
-14.791
Round -245701.728 to the nearest one thousand.
-246000
Round -0.84794167 to 4 decimal places.
-0.8479
Round -182.857456 to the nearest 10.
-180
Round -0.852792839 to 1 dp.
-0.9
Round -0.0000669452435 to 5 decimal places.
-0.00007
Round 1268.683702 to the nearest 10.
1270
What is -35949.2059 rounded to the nearest ten?
-35950
Round 637800207.1 to the nearest one hundred thousand.
637800000
What is -84679.39 rounded to the nearest 1000?
-85000
Round 6.33325257 to zero decimal places.
6
Round -13.49131958 to 0 decimal places.
-13
What is -0.003536916 rounded to 4 dps?
-0.0035
What is -1.718187232 rounded to 4 decimal places?
-1.7182
What is -1831.8242806 rounded to the nearest integer?
-1832
Round -0.00130798607 to 5 dps.
-0.00131
What is 74039.507 rounded to the nearest one thousand?
74000
Round 0.0116292774 to 3 dps.
0.012
Round -0.0001053638517 to 6 dps.
-0.000105
Round -27398983.43 to the nearest one thousand.
-27399000
What is -0.01027919411 rounded to six decimal places?
-0.010279
What is -0.072677458 rounded to 5 dps?
-0.07268
What is -0.02872578403 rounded to three decimal places?
-0.029
What is 985.59992 rounded to 1 decimal place?
985.6
What is -178877.7056 rounded to the nearest one thousand?
-179000
What is -1.684608545 rounded to 4 decimal places?
-1.6846
Round 0.00000893179414 to seven dps.
0.0000089
Round -0.0004323074323 to six decimal places.
-0.000432
What is -3.9297531 rounded to two dps?
-3.93
Round -0.95726993 to 2 decimal places.
-0.96
Round 0.0033815564 to four dps.
0.0034
Round -0.001109042947 to 7 dps.
-0.001109
What is 0.00002227476149 rounded to five decimal places?
0.00002
What is 9.11224877 rounded to 1 decimal place?
9.1
Round 5279111.88 to the nearest one million.
5000000
What is 20368122.96 r | {
"pile_set_name": "DM Mathematics"
} |
92?
-807
What comes next: -645, -1251, -1821, -2355?
-2853
What comes next: 1399, 2822, 4253, 5692?
7139
What is next in -7588, -15300, -23012, -30724?
-38436
What is next in -2915, -5826, -8737, -11648?
-14559
What is next in -1791, -3585, -5391, -7215, -9063, -10941?
-12855
What comes next: -34712, -69430, -104148, -138866?
-173584
What is next in -86040, -86042, -86044, -86046, -86048?
-86050
What is the next term in -15, -42, -65, -78, -75, -50, 3?
90
What comes next: 957, 1021, 1071, 1107, 1129, 1137, 1131?
1111
What comes next: 2195, 1328, -117, -2140?
-4741
What is the next term in -553820, -553823, -553826, -553829?
-553832
What comes next: 261, 170, 21, -174, -403, -654, -915?
-1174
What comes next: 24, 136, 330, 594, 916?
1284
What comes next: 53, 50, 57, 80, 125, 198, 305, 452?
645
What comes next: -94, -561, -1324, -2371, -3690, -5269, -7096?
-9159
What comes next: 1621, 1552, 1375, 1036, 481?
-344
What is the next term in 387695, 387697, 387701, 387707, 387715, 387725, 387737?
387751
What comes next: 2121, 2000, 1879?
1758
What is the next term in -2578, -5157, -7736, -10315, -12894, -15473?
-18052
What comes next: -23715, -23717, -23719, -23721, -23723, -23725?
-23727
What is next in -24, -86, -174, -282, -404, -534, -666?
-794
What comes next: -77533, -77539, -77545, -77551, -77557, -77563?
-77569
What is next in 677, 713, 775, 863, 977, 1117?
1283
What is the next term in 13088, 26152, 39216, 52280, 65344, 78408?
91472
What is the next term in 1233, 2448, 3569, 4548, 5337, 5888?
6153
What comes next: -78, -386, -1210, -2808, -5438?
-9358
What is the next term in 3358, 6504, 9650, 12796, 15942, 19088?
22234
What is the next term in -235, -242, -249, -256, -263, -270?
-277
What is next in -334, -1082, -2244, -3820, -5810, -8214, -11032?
-14264
What is next in 58871, 117743, 176613, 235481, 294347, 353211?
412073
What comes next: 945035, 945055, 945109, 945215, 945391, 945655, 946025?
946519
What is next in -158, -320, -484, -650, -818?
-988
What comes next: 161984, 323981, 485992, 648023, 810080, 972169, 1134296?
1296467
What is the next term in 126800, 126789, 126772, 126749?
126720
What is the next term in -1625, -6510, -14659, -26078, -40773, -58750?
-80015
What comes next: -5253378, -5253377, -5253376?
-5253375
What is next in -4406, -4492, -4576, -4658, -4738?
-4816
What comes next: 1110, 1136, 1162?
1188
What comes next: 298, 862, 1676, 2746, 4078, 5678, 7552, 9706?
12146
What is next in -74, -265, -576, -1007, -1558?
-2229
What is next in -1137, -2227, -3317, -4407, -5497, -6587?
-7677
What is next in -4676, -4816, -4956?
-5096
What is next in 66, 131, 170, 171, 122?
11
What comes next: 892, 3743, 8496, 15151?
23708
What is next in -4062, -8137, -12212, -16287, -20362, -24437?
-28512
What comes next: -19968, -39976, -59984, -79992, -100000, -120008?
-140016
What is the next term in -76, -314, -952, -2188, -4220, -7246?
-11464
What is next in -811, -1659, -2543, -3463, -4419?
-5411
What comes next: -7193, -7199, -7221, -7265, -7337, -7443, -7589, -7781?
-8025
What is the next term in 17666, 35566, 53456, 71330, 89182?
107006
What is next in 359, 1458, 3283, 5828, 9087?
13054
What is next in 10507, 10445, 10277, 9949, 9407?
8597
What is next in -4170, -4151, -4098, -3993, -3818?
-3555
What comes next: -13141, -13141, -13143, -13147, -13153, -13161?
-13171
What comes next: 23338, 46756, 70174?
93592
What comes next: 97943, 195886, 293829?
391772
What is next in 32, 20, -158, -628, -1516, -2948, -5050?
-7948
What comes next: -9725, -9773, -9821, -9869, -9917?
-9965
What is next in 30871, 61347, 91825, 122305, 152787, 183271?
213757
What is next in 122, 269, 442, 641?
866
What is the next term in 6441, 6431, 6417, 6399?
6377
What is next in -368, -569, -768, -965?
-1160
What comes next: 428, 561, 744, 1001, 1356, 1833, 2456?
3249
What is next in -126, -685, -1616, -2919, -4594, -6641, -9060?
-11851
What is next in 65, 299, 533, 767?
1001
What comes next: -80, -686, -2318, -5486, -10700, -18470?
-29306
What is the next term in 7596, 15184, 22772, 30360, 37948, 45536?
53124
What comes next: -7579, -7569, -7569, -7585, -7623, -7689?
-7789
What comes next: 238, 657, 1078, 1501, 1926, 2353, 2782?
3213
What is the next term in -131993, -263990, -395989, -527990, -659993, -791998?
-924005
What comes next: 290, 353, 462, 617, 818, 1065?
1358
What is the next term in 2380, 2505, 2668, 2869, 3108?
3385
What comes next: -1423, -2753, -4083, -5413, -6743?
-8073
What is the next term in -437, -828, -1205, -1562, -1893, -2192?
-2453
What comes next: -1178, -980, -772, -548, -302?
-28
What is next in 241307, 482613, 723925, 965249, 1206591?
1447957
What comes next: 1426391, 1426389, 1426387, 1426385?
1426383
What is the next term in 397, 372, 337, 286, 213, 112, -23?
-198
What is next in -35, -138, -275, -422, -555, -650, -683?
-630
What is the next term in -836, -1236, -1634, -2030, -2424, -2816?
-3206
What comes next: 22974, 91895, 206770, 367605, 574406, 827179?
1125930
What is next in -1678, -1541, -1406, -1273, -1142?
-1013
What comes next: -335, -705, -1099, -1529, -2007?
-2545
What is the next term in 49769, 49766, 49763?
49760
What is next in 1212, 1248, 1316, 1422, 1572?
1772
What comes next: 7579, 7468, 7357?
7246
What comes next: -284, -558, -852, -1160, -1476, -1794?
-2108
What comes next: -3282, -3254, -3226, -3198, -3170, -3142?
-3114
What comes next: -80800, -80803, -80792, -80761, -80704, -80615?
-80488
What is the next term in -2566, -5131, -7694, -10255, -12814?
-15371
What is the next term in 8589, 17178, 25767?
34356
What is the next term in 60, 184, 450, 930, 1696?
2820
What comes next: 3264, 3350, 3442, 3540?
3644
What is the next term in 518, 1315, 2646, 4511, 6910, 9843, 13310?
17311
What is the next term in 2392, 5379, 8368, 11359, 14352, 17347, 20344?
23343
What is next in 10470, 10395, 10318, 10239, 10158, 10075, 9990?
9903
What is the next term in -232, -1274, -4114, -9652, -18788, -32422, -51454, -76784?
-109312
What comes next: 3490, 7015, 10542, 14071, 17602, 21135, 24670?
28207
What is the next term in -21279, -21293, -21307?
-21321
What is next in -880866, -880861, -880844, -880809, -880750?
-880661
What is next in -396, -155, 86, 327, 568?
809
What is the next term in 74, -62, -414, -1090, -2198, -3846, -6142?
-9194
What is next in 28280, 28282, 28284, 28286, 28288?
28290
What is the next term in 179, 401, 611, 803, 971, 1109, 1211?
1271
What is the next term in -885, -1027, -1263, -1587, -1993, -2475, -3027, -3643?
-4317
What is next in 19053, 19061, 19081, 19119, 19181, 19273, 19401, 19571?
19789
What is next in 176, 363, 576, 827, 1128?
1491
What is the next term in 166, 292, 418, 544, 670, 796?
922
What comes next: 1529, 6091, 13695, 24335, 38005, 54699, 74411?
97135
What comes next: 73158, 73156, 73152, 73146, 73138, 73128, 73116?
73102
What is the next term in -1449, -2369, -3285, -4197, -5105?
-6009
What comes next: -245521, -245523, -245525?
-245527
What comes next: 421, 1602, 3569, 6322, 9861, 14186, 19297?
25194
What is the next term in 484, 1041, 1970, 3271, 4944, 6989, 9406?
12195
What is the next term in -558676, -558674, -558672?
-558670
What is next in -1153792, -2307582, -3461372, -4615162, -5768952?
-6922742
What comes next: 793, 774, 721, 616, 441, 178, -191?
-684
What is next in -21, -427, -1623, -4005, -7969, -13911, -22227, -33313?
-47565
What comes next: 893, 902, 923, 962, 1025?
1118
What comes next: 2634, 1417, -610, -3441, -7070, -11491, -16698?
-22685
What comes next: 433, 779, 1033, 1195, 1265, 1243?
1129
What is next in 56104, 448827, 1514796, 3590635, 7012968, 12118419?
19243612
What is the next term in 408065, 408067, 408069, 408071, 408073, 408075?
408077
What is the next term in -1594, -6390, -14406, -25642, -40098?
-57774
What is the next term in 945, 1031, 1179, 1389, 1661, 1995, 2391?
2849
What is the next term in -7811, -7819, -7831, -7847, -7867, -7891, -7919?
-7951
What is next in -33, -134, -305, -552, -881?
-1298
What comes next: 592, 2368, 5328, 9472, 14800, 21312?
29008
What is next in 19471, 19486, 19525, 19600, 19723, 19906, 20161?
20500
What is the next term in -812, -796, -754, -674, -544, -352?
-86
What is the next term in 4153, 4307, 4461?
4615
What comes n | {
"pile_set_name": "DM Mathematics"
} |
ve -p*n + 4*r = -24, 4*n + 2*r - 21 = -7 for n.
4
Suppose -2*p - f = 6 - 19, -5*p + 10 = -2*f. Suppose 7*q + 24 = 9*q. Solve 2*y = 2*m - 6, p*m + 0*m = -y + q for y.
0
Let x be (1/(1/(-4)))/((-112)/56). Solve -4*w - 16 = 0, 4*w = -c - x - 16 for c.
-2
Let h be (-60)/(-40)*2/(-3)*-2. Solve 7 = -h*w - k, 2*w - 4*k + 9 = -3*k for w.
-4
Let n(f) = -f**3 - 6*f**2 - 3*f + 25. Let i be n(-4). Solve v - i = -4*v, 4*v = 2*o + 4 for o.
0
Suppose -3*m + c - 4 = 0, 3*m + 8*c - 11*c + 12 = 0. Suppose -5*l + m*l + 5*z + 25 = 0, 0 = -3*l - 2*z. Solve -5*d = 5*a - 10, -d = -2*d - l*a + 4 for d.
0
Let r be 14/(-56) + 2/8. Suppose 0 = -g - 2 - 1. Let i(j) = j**3 + 5*j**2 + 4*j - 1. Let f be i(g). Solve -k - f*b = -1, 4*k + r*b + 15 = -b for k.
-4
Let k(s) = -s**2 - 13*s - 7. Suppose 14 = 2*x + 38. Let u be k(x). Suppose 3*w = -u*l + 2*w + 69, -4 = 4*w. Solve 0 = 4*r - 2*v + l, 0*r - 18 = 3*r - 4*v for r.
-2
Let o(r) = -4 + 21*r + 11*r - 27*r. Let b be o(5). Solve 0 = 5*d - 20, 0*f + f - 4*d = -b for f.
-5
Suppose -2*t + 10 = -3*t. Let w(x) = -2*x**2 - 20*x + 5. Let f be w(t). Solve s - 4 = 2*k - k, 20 = -s - f*k for s.
0
Let o be (0/4 - -6) + -2. Suppose 3*m - 11 = o*q, 3*m + 2*m + 3 = -4*q. Let x(z) = z**3 - 1. Let c be x(m). Solve 4*g + 0 - 12 = 0, 2*p + g - 5 = c for p.
1
Suppose -3*a - 4*m = 0, -5*a + 4*m = 6*m. Solve 5*c + i + 8 = a, 0 = 3*c - i - 2*i + 12 for c.
-2
Let w = -40 + 40. Let k = w + 4. Let d = -21 + 54. Solve 3*q - 6*q + 5*j = 31, -k*q = -5*j + d for q.
-2
Suppose 19*t = -2*t + 42. Solve -g + t + 3 = z, 2*z - 15 = -3*g for z.
0
Let i = 11 - 8. Suppose 3 = 3*f + 5*u + 8, 3*u - 3 = -i*f. Suppose 3 = -f*r + 13. Solve -2*w = -q - r, 2*q + 4 = -0*q + 3*w for q.
-2
Let k = -29 + 74. Suppose 0*h = -5*h + k. Solve 0 = 2*z + 5*b - 17, 0 = -3*z + 8*b - 4*b - h for z.
1
Let c(h) = 2*h - 21. Let w be c(9). Let j = w + 23. Solve -3*p = 4*m - 4*p - j, 3*m + 5*p = 15 for m.
5
Let g = -1149 - -1149. Solve -2 = v + j - g, 0 = v + 2*j - 1 for v.
-5
Suppose 0 = 3*t - 2*x - x - 3, 0 = -t + 5*x - 11. Solve -t*s = -5*r + 6, 4*s - 2*r + 3*r - 6 = 0 for s.
1
Let v = -5 - -8. Suppose 0 = -2*u + 5*u - 72. Solve v*o - 3*g - u + 6 = 0, -4*o + 23 = -3*g for o.
5
Let k(m) = -m**2 + 7*m - 6. Let l be k(6). Suppose 5*r - 12 = -u + 5, 4*r - 13 = -u. Let s = -7 + 9. Solve l = -5*q + 4*d - r, -2*q - q + s*d - 4 = 0 for q.
-4
Let l(f) = f - 11. Let z be l(14). Let o be (z/9)/(3/36). Suppose 2*q - o*q = -4. Solve -c - 5*s = -0*c + 5, -5*c + q*s = -29 for c.
5
Let p(y) = y**2 + 31*y + 62. Let z be p(-29). Solve 0 = m + z*t - 11, -4*t + 8 = -m - 13 for m.
-5
Let i be -7 + 10 - ((-2)/2 + 2). Solve 0 = -i*m + 5*p - 2, 10 = -2*m - 5*p + 8 for m.
-1
Suppose -47 + 102 = 5*u. Solve 0 = -2*y, -8*v + u*v - 15 = -y for v.
5
Suppose -4*i - 3*a - 2 = 4, -8 = 4*a. Let w = i - 0. Solve w = 5*k - 4*y + 9 + 3, k = -3*y + 9 for k.
0
Suppose 13*n = 26*n - 52. Solve -5*i + 0*i - 2*s - n = 0, 0 = 4*i - s - 2 for i.
0
Let q = 1 - -5. Suppose -b - q*b + 42 = 0. Solve 20 = 5*o, 2*d - 4*o + b*o - 12 = 0 for d.
2
Suppose -5*i - 7 = -3*w, -2*w + i + 11 = 4*i. Solve -5*v + w*h = 18, v = -0*h - h for v.
-2
Let p(b) = -18*b - 3. Let d be p(-1). Suppose 5*v - d - 10 = 0. Solve 5*h = -v, -5*h + 3 - 2 = 2*c for c.
3
Let g(x) = x**3 - 4*x**2 + 5*x - 1. Let r be g(3). Let m(s) = -4*s + r*s - 5 + 8*s. Let c be m(2). Solve -5*v + 2*l = c, v - l - 1 = 3*l for v.
-3
Let g = -2951 + 2956. Solve -5*l + 4*l - 9 = 3*x, 2*x = -g*l + 7 for x.
-4
Suppose 31 = 3*o - 5*t, -4*o - 2*t + 36 = -6*t. Solve 4*w = -s + 1, -5*w + 5 = o*s - 2*s for w.
0
Suppose -5*d = -2*m - 80, d - 3*m - 85 = -4*d. Suppose 0 = 41*o - 40*o - d. Solve -r - o = 5*c - 2*c, c + 10 = -3*r for c.
-4
Suppose 38*f - 40*f = -10. Solve 0 = 4*o + f*n + 27, -2*o + 4*n = 9*n + 21 for o.
-3
Let z(m) = m**3 + 4*m**2 - 5*m + 5. Suppose 3*y - 4*k + 35 = 0, 3*k - 26 = -11. Let l be z(y). Solve -l*r - 3*s = 5, -2*r - 4*s - 8 = 8 for r.
2
Let o(w) = -3*w - 46. Let p be o(-17). Suppose 13 - p = 4*b. Solve b*d - 10 - 19 = -5*k, 2*d + 1 = k for k.
5
Suppose 4*p - 3 = -s, 5*p = s - 3*s. Suppose l = -p*f + 1, 5*f + 2 - 12 = -l. Solve -3*d = -f*z + d + 35, 5*d + 10 = -3*z for z.
5
Let a = -28 - -25. Let d = 6 + a. Solve -2*v = -g + 7, -2*g - 7*v + d*v + 6 = 0 for g.
5
Let q be (-2 + -17)*(3 - 6). Let i = q - 41. Solve -4*v - 12 = p, -i = -v + p - 6*p for v.
-4
Let p be 3/12 - 22/(-8). Let t = -15 - -15. Suppose -9 = -p*v - t*v. Solve -2*l - 5*h - 7 = 0, 0*h - 4 = v*l + h for l.
-1
Let g be (14/(-28))/((-2)/40). Suppose 5 = -5*x, -2*x + 51 = 4*i - x. Let s = i - g. Solve m = -b + s, -5*b = -4*m - m + 15 for b.
0
Let w(p) = -2*p + 2. Let f be w(0). Suppose -2 = u + v, 2*u - f*v = -3*v. Solve -u*k = -0*j + j + 9, -2*j = k + 12 for j.
-5
Let r be ((-4)/(-14))/(2/14). Let c be (-1)/(10/4) + (-506)/(-115). Let u = 4 + -2. Solve 1 = -u*j - r*x + x, -j = -x - c for j.
1
Let l = 31 - 21. Suppose 3*s - 5*s - 2*k - l = 0, -5*k = -3*s + 25. Let u be -2*(-1 - 1)/1. Solve -2*m + b + u*b + 15 = s, -6 = m + 2*b for m.
0
Let m(n) = -3*n + 137. Let r be m(43). Solve -2*c - b + 5*b = r, c + 4 = -2*b for c.
-4
Let j = 16 + -13. Solve -5*x + 26 = -j*t, -5*t - 11 = -1 for x.
4
Let y be (-6)/18*1*-39. Suppose -2*v - 33 = -y*v. Solve -u - 2*n - v = 0, -4*u - n = -4*n + 12 for u.
-3
Let k = -27 - -27. Suppose 0 = t - 4*t - 5*m + 25, 2*t - 5*m = k. Solve -4*l + 3 = -3*f, t - 8 = 3*f - l for f.
-1
Let v = 29 + -26. Suppose 2*q = 3*m - v, -2*q - 7 + 1 = -4*m. Let t be -1 - -1 - -2*1. Solve -4*w - d - 4*d = 12, -t*w - 8 = q*d for w.
2
Let t be (12/(-14))/(8/392). Let q = -39 - t. Solve 5*g = o + 21, -3*o + 0*o + 9 = q*g for g.
4
Suppose b + b - 7 = -r, 4*r = 12. Let t be 81/18 - 2/4. Solve -t = -y, 2*c + 20 = -c + b*y for c.
-4
Let y = 240 + -240. Solve 3*j = 4*g + 35, -40 = -5*j - y*g + 3*g for j.
5
Let b be (2/8)/(22/88). Solve 5*s - z + 7 = 3*z, b = -s + z for s.
-3
Suppose -4*c = -5*p + 13, 6*c = 2*c - 5*p + 37. Solve -6*q = 3*u - 2*q - 8, -c*q + 11 = u for u.
-4
Let b(s) = s**3 - 4*s**2 + s + 3. Let p be b(3). Let o be (-1 + 2/4)*0/p. Solve o = -5*f - 25, -3*m - 2*f + 6*f + 23 = 0 for m.
1
Let v be (-3 - -3) + (-4 - -4). Suppose 5*d + v*d - 20 = -5*g, -d + 2*g = -7. Solve -19 = d*o - 4*q, 5*q + 4 = -3*o - 0*q for o.
-3
Let w = 12 - 10. Suppose 4*r = w*r + 56. Suppose -2 - 10 = -3*g. Solve -5*k - 2*x + r = 0, x - 10 = -g*k + 10 for k.
4
Let q be (9/(-45))/((-2)/(-5))*0. Solve 3*u + 16 = -q*z - 2*z, -5*z + 4*u - 17 = 0 for z.
-5
Let t(y) = -y**3 + 26*y**2 - 26*y + 27. Let d be t(25). Solve 0 = d*h - 3*i + 2 + 4, 0 = 2*h - 4*i + 8 for h.
0
Let f(a) = 0*a + 2956 - 2981 - 3*a. Let x be f(-9). Let b be 7*(2 - 16/14). Solve x*d + d = -q + b, -3 = -d for q.
-3
Suppose -2*u - 74 = 5*w, 0 = -5*w - 3*u + 2*u - 72. Let a = w + 18. Solve 5*s = a*y + 16, 4*s - 2*s = 2*y + 6 for s.
4
Suppose 2*u - j - 66 = -2*j, -3*u - 4*j + 104 = 0. Solve -6*r + r = -4*k + 37, -4*k + 4*r + u = 0 for k.
3
Suppose 2*d - 2*r - 46 = 0, r = -2*d + 26 + 14. Suppose 4*p + 5 = d. Let t = 5594 + -5591. Solve -z + 8 = -t*a - 4, -z = p*a + 23 for a.
-5
Suppose 158*x - 324 = 161*x. Let z = 113 + x. Solve 0 = z*i - 2*r + 13, -4*r - 14 = 3*i + r for i.
-3
Suppose 4*c + 4*v + 12 = 0, 3*c + v - 4 + 3 = 0. Suppose 5*h - c*h - 12 = 0. Solve 5*a = h*s + 30, 3*a - 1 = -5*s + 4*s for a.
2
Let j be 384/36 - (-2)/(-3). Suppose 3*p - p = j. Solve 3*t - 6 = -p*z, 0 = -4*t - z - 9 for t.
-3
Let d(g) = 24*g + 5. Let w be d(1). Solve f + 2*m + 13 = 0, -2*f + 5*f + w = -4*m for f.
-3
Let m = -6 - -10. Suppose -5*a - 115 = l, -4*a = m*l - 8*l + 68. Let i = 24 + a. Solve 0 = -i*r + 2*d, 2*d - 4 = -5*r + 6*d for r.
4
Let z = -6 + 10. Suppose -1 = -3*y - 5*a, -4*y + 0*y + 4*a = -12. Let j be ((-60)/48)/(y/(-8)). Solve 0 = 5*p - j*f + 2*f + 6, -z*p - 3 = -3*f for p.
-3
Let d be 2/(-7) + 188/(-28) - -12. Solve 5*s - 3 - 22 = 5*l, 2*s - 22 = d*l for l.
-4
Suppose q - 2 = 0, -u - 3*u + 3*q = -506. Let c = u - 126. Solve z + 0*v + 1 = 3*v, 0 = 2*z - 4*v + c for z.
-1
Let b be 0 - (42/7 + -21). Solve 5*u + 5*c + b = 0, u - 4*c + 18 = -u for u.
-5
Let m(t) = -9*t - 10. Let f be m(-2). Let q = -99 + 149. Solve 0 = n - 3*o + 10, 5*n - 3*o = -f*o + q for n.
5
Suppose 4*k = -2*w + 6 + 8, -k - 10 = -4*w. Suppose 0 = -4*f - 2 - k. Let d be (2/1)/(-2)*f. Solve 3*o - 4*s = | {
"pile_set_name": "DM Mathematics"
} |
10*b - 1 + 1).
20*b**2 - 20*b
Expand -31296*x**3 - 75*x**4 + 31296*x**3 + (2*x - 2 + 2)*(5*x**3 + x**3 - 5*x**3) + 7*x**4 - 3*x**4 - 3*x**4.
-72*x**4
Expand 210*g**2 + 2207 - 2207 + (0 - 2*g + 0)*(-4*g + 4*g - 2*g) - g**2 - g**2 + g**2.
213*g**2
Expand (2 - 11 + 8)*(0*x**2 + 3*x**2 + 0*x**2 - x**2 + x**2 + x**2 + (0 + 2*x + 0)*(5*x - 4*x + 0*x)).
-6*x**2
Expand y**3 - 6*y**3 + 5*y**3 - 22*y**4 + (-y + y - 3*y**2)*(2*y**2 + y - y).
-28*y**4
Expand (2249*r - 2249*r - 32*r**2)*(41 + 5*r**2 - 41).
-160*r**4
Expand -2 + 2 - 20*p + (0 + 1 - 3)*(0 - p + 0).
-18*p
Expand (-4 - 1 - 1)*(-10 + 14*b - 11*b - 2*b**2 + 0).
12*b**2 - 18*b + 60
Expand (2 - 5 + 2)*((0*b**2 + 2*b**2 - b**2)*(-3*b + 6*b - 2*b) - 9*b**3 + 2*b**3 + 2*b**3)*(1 - 1 + 1)*(3 - 2 + 23).
96*b**3
Expand q**3 - 2*q**3 + 2*q**3 + (-2*q**2 + 2*q**2 + 2*q**3 + (4*q - 2*q - q)*(-1 + q**2 + 1) - q**3 + 2*q**3 + q**3)*(0 + 1 + 0)*(-1 + 2 - 5).
-19*q**3
Expand -2*j**5 + 2*j**5 + 3*j**5 + (-32*j + 20*j - 64*j)*(j**4 + j**4 - 4*j**4).
155*j**5
Expand 2*c - 2*c + 3*c**2 + (-2*c**2 - 1 + 1)*(-3 + 3 - 2)*(-15 - 17 - 1 + (4 - 1 - 2)*(-1 + 4 - 1)).
-121*c**2
Expand (-3 + 0 + 6)*(m**3 - 4*m**4 - m**3)*(29*m + 59*m + 4*m - 14*m).
-936*m**5
Expand ((2*l + 2*l - 2*l)*(-4 + 3 + 0) + 0*l - 5*l + 2*l)*((3 + 2 - 6)*(-2 - 2 + 3) + 4 + 9 - 6 + (-1 + 0 + 3)*(6 - 1 - 2)).
-70*l
Expand (-2493*j**2 + 1247*j**2 + 2*j + 1248*j**2 + 27)*(-j + 5 - 5)*(-3 - 2 + 6 + (6 - 4 - 4)*(-3 + 0 + 2) + 4 - 3 + 1 + 5 - 1 - 3).
-12*j**3 - 12*j**2 - 162*j
Expand (-2*q + 0*q + 3*q)*(-7 + 35*q + 7 + (2*q - 3*q + 0*q)*(-3 - 4 + 5)).
37*q**2
Expand (-5 - 2*i + 5)*(1 - 3 - 3)*(-1 + 4 - 2)*(-4 + 2 + 6)*(2*i + 3*i - 2*i).
120*i**2
Expand (4 + 512*g - 242*g + 6 - 231*g)*(-3 + 3 - g).
-39*g**2 - 10*g
Expand (2 + 3 - 6)*(0*i**4 + i**4 + 0*i**4 + (0*i**4 + 13*i**4 + 8*i**4)*(4 - 2 + 0)) + (-i**3 - i**3 + i**3)*(0 + 0 + i) - 2*i + 2*i - 2*i**4.
-46*i**4
Expand 62*v**2 + 106 - 106 + v**2 - v**2 - 2*v**2 + (-v + 0*v - v)*(0 + v + 0) + 2*v**2 + 3*v**2 - 6*v**2.
57*v**2
Expand (2*j**2 + 0*j**2 - 3*j**2)*(3*j**2 - 2*j**2 - 2*j**2) - 1248*j**4 - 1858*j**4 + 338*j**4.
-2767*j**4
Expand (2*c + 4*c**2 - 2*c)*(-c - 53 + 34 + 27).
-4*c**3 + 32*c**2
Expand (0 - 20*c**5 + 15*c**5 + 2)*(4 - 4 - 5).
25*c**5 - 10
Expand (22*o**2 + 15*o**2 + 5*o**2)*(-3*o**2 + 1 - 1) + (3 - 3 + 2*o)*(-2*o**3 + 2*o**3 + 2*o**3).
-122*o**4
Expand (-3*d**3 - 2*d**3 + 6*d**3 + (2*d**2 - 2*d**2 + 2*d**2)*(1 - d - 1) + (2*d + 2 - 2)*(-5*d**2 + 2*d**2 + 2*d**2))*(7 - 2 - 2).
-9*d**3
Expand (12*x**5 + 4*x**5 - 4*x**5)*(0 + 2 + 0)*(1 + 3 - 3)*(0 - 1 - 1).
-48*x**5
Expand (-2*m**3 - 2*m**3 + 3*m**3)*(-33*m - 37*m - 11*m).
81*m**4
Expand 0*n**4 - 3*n**4 + 0*n**4 + (3 + 2 - 3)*(4*n**4 + n**4 - 3*n**4) - 8 + 8 - 7*n**4 + (-1 + 2*n + 1)*(-2 + 2 + 1)*(-2*n**3 + 0*n**3 + 3*n**3).
-4*n**4
Expand (0*d**2 - d**2 + 0*d**2)*(-d**2 + 3*d**2 + d**2) + (2*d**2 - 2*d**2 + d**2)*(7*d - 7*d - 8*d**2).
-11*d**4
Expand 752*a**3 + 710*a**3 - 1113*a**3 - 4 + 4 - 2*a**3 + (0*a**2 + 2*a**3 + 0*a**2)*(-1 - 2 + 1).
343*a**3
Expand (k - k - 2*k)*(5 - 1 - 5) - 2*k + 22*k - 78*k.
-56*k
Expand (3 - 3 + 6*x)*(6*x + 3*x + 70*x + (-1 + 4 - 2)*(0*x + x + 0*x)).
480*x**2
Expand (a - a - 3*a)*(-11*a + 18*a - 6*a).
-3*a**2
Expand -10*b**5 - 75*b + 75*b + (-b**3 + 1 - 1)*(0*b**2 + b**2 - 2*b**2).
-9*b**5
Expand 7*y - 4*y**2 - 7*y - 3 + 3 - y**2 + (0*y - 2*y + 0*y)*(-3*y - 2*y + 7*y) + 2*y**2 + 7 - y**2 - 1 - 3*y**2 + y**2 + 3*y**2.
-7*y**2 + 6
Expand 0*f**3 + 4*f**3 + 3*f**3 + (-f**2 - 2*f**2 + 2*f**2)*(-10 + 10 - 4*f + (-2 + 1 - 1)*(-4*f - 2*f + 5*f) - 3*f + 4*f + 0*f).
8*f**3
Expand (-d - 1 + 1)*(4 + 0 - 2) - 62*d + 76*d + 43*d.
55*d
Expand (9 + 21 + 78)*(u - 3*u + 0*u).
-216*u
Expand (14*z - 33*z - 17*z + (-z + 0*z + 3*z)*(-1 + 1 + 1))*(z**4 + 2*z**4 + z**4).
-136*z**5
Expand (2*n - 6*n + 3*n)*(4 - 4 - 1) + (-n + 0*n - 4*n)*(1 - 1 + 1) - 6 + 6 - 4*n.
-8*n
Expand (-3*j**2 + j**2 + j**2)*(-3 + 2 + 2) + (3*j - j - 3*j)*(12 - 8 + j - 8).
-2*j**2 + 4*j
Expand (6 - 6*p - 6)*(3*p - 21*p - 8*p).
156*p**2
Expand -2*a**3 + 5*a**3 - 5*a**3 + (-2*a**2 + 3*a**2 + 0*a**2)*(-2*a + 2*a - a) - 874*a**3 - 683*a**3 + 1161*a**3 + (4*a**2 - 3*a**2 + a**2)*(-1 + 1 - a).
-401*a**3
Expand (-53*c**4 + 203*c**2 + 353*c**4 - 202*c**2)*(1 - 1 - 2*c).
-600*c**5 - 2*c**3
Expand (m - m - 2*m + (-44*m - 20*m - 72*m)*(3 + 1 - 3))*(-1 - 4*m + 3*m - m)*(0*m + 0*m - m**2).
-276*m**4 - 138*m**3
Expand (-3 + 0 - 3)*(368*i**2 - 97*i**3 - 368*i**2).
582*i**3
Expand (-207 - 98 + 86)*(5*l - 4*l + 0*l) + l - 5*l + l.
-222*l
Expand (9*i + 71*i**2 + 5*i - 14*i)*(-2*i - 2*i + 3*i).
-71*i**3
Expand (3 - 4 + 2)*(5*d - 35*d - 126*d - 2*d - 2*d + 5*d + (-1 - 3 + 2)*(2 + d - 2)).
-157*d
Expand -f**4 + 2*f**2 - 2*f**2 + (4*f**2 - 6*f**2 + 4*f**2)*(3*f**2 - 4*f**2 + 3*f**2) + 0*f + 0*f - f**4 - 303*f**4 + 25 + 38 - 60.
-301*f**4 + 3
Expand (-25 - 66 - 25)*(0*b - 3*b + b) + (-1 + 3 + 0)*(2 - 2 - 2*b) + 1 - b - 1 - 4*b - b + 2*b.
224*b
Expand 2*i**4 + 0*i**4 + 0*i**4 + (3 - 4 - 1)*(3*i**4 - i**4 - i**4) - 17*i**4 + 18*i**4 + 57*i**4 + i**3 - i**3 - 2*i**4.
56*i**4
Expand (-2*m**2 + 0*m**2 + 25*m**2)*(1 - 6 + 2)*(-3*m**3 + 0*m**3 + 5*m**3).
-138*m**5
Expand (-7*u - 2*u + 8*u)*(-u + 0*u + 5*u)*(2*u**2 - u**2 + 4*u**2).
-20*u**4
Expand (4 - 4*r - 4)*(47*r + 370*r - 473*r - 1031*r - 1033*r).
8480*r**2
Expand 3*n**2 + 2*n**2 - n**2 + (3 + 0 + 0)*(3*n**2 - 3*n**2 - 5*n**2) - 2*n + 2*n - 2*n**2 + (-3 + 1 + 3)*(-4*n + n**2 + 4*n).
-12*n**2
Expand (-5*t**2 + t**2 + 3*t**2 + (-t + 3 - 3)*(-2 + 2*t + 2) - 2*t**2 - 2*t**2 + 2*t**2)*((2 - 5 + 2)*(-6 + 4 + 3) + 4 - 3 - 4 + (-10 + 9 - 2)*(-3 - 2 + 1)).
-40*t**2
Expand (-5 + 5 - p)*(-278 - 66 - 257 + 1).
600*p
Expand (-1 + 1 - 1)*(3*n - 2*n + n)*(2 - 4 + 3)*(-2360*n + 2360*n + 12 + 3*n**3).
-6*n**4 - 24*n
Expand (0 + 5 - 4)*(-3 - 589*z - 230*z + 226*z).
-593*z - 3
Expand -3*l + 2 + 3*l - 9*l + (-1 + 1 + 3*l)*(-1 - 1 - 3).
-24*l + 2
Expand (l - 2 + 2)*(91 + 338 - 33 + 30).
426*l
Expand (-36*v + 118*v - 21*v)*(v**4 + 24*v**2 - 24*v**2).
61*v**5
Expand 7*q - 5*q + 7*q + (-2*q + q + 0*q)*(-3 + 3 - 1) - q - q + 4*q + (1 - 1 - q)*(1 - 3 + 0) - 2*q - 2*q + 7*q.
17*q
Expand 54 + 29*q**4 - 54 + (5 - 5 - 3*q**3)*(2 + 2*q - 2).
23*q**4
Expand (-18*t**2 + 2*t**2 - 12*t**2)*(-2*t + 4*t - 3*t).
28*t**3
Expand (-3*l**2 + l**2 - l**2)*(-2*l**3 + l - l) + (2 + 1 - 1)*(7*l**2 + 21 - 21)*(5*l**2 - 8*l**3 - 5*l**2).
-106*l**5
Expand (3*o + 0*o - 4*o)*(6 - 3 - 2)*(1 + 5 - 3).
-3*o
Expand (46*u**3 - 24*u**2 + 23*u**2 - 12*u**3)*(3 - 3 - 7).
-238*u**3 + 7*u**2
Expand (-3 + 5 - 3)*(-9373 + 18713 - 6*r - 9389)*(r + r - r**2 + 2 + 0*r).
-6*r**3 - 37*r**2 + 110*r + 98
Expand -16*g**5 + 19*g**5 + 45*g**5 + (5*g - g**3 - 5*g)*(3 - 3 - 4*g**2).
52*g**5
Expand 55*d + 21*d + 14*d + (2*d + 0*d - d)*(1 - 2 + 3) + d - 4*d + 0*d.
89*d
Expand (3*z + z - 6*z)*(3*z - 23*z - 28*z) + (0*z + z + 0*z)*(0 + 2*z + 0).
98*z**2
Expand (2*f + 3 - 1 - 3)*(-32*f - 31*f - 20 + 60*f).
-6*f**2 - 37*f + 20
Expand (0*s**3 - 5*s**3 - s**3)*(s**2 - 3*s**2 + 3*s**2) + 3*s**5 - 3*s**5 - 5*s**5 + 2*s**5 - 2*s**5 + 2*s**5.
-9*s**5
Expand 26*k**5 - 278*k**3 + 555*k**3 - 279*k**3 - 3*k + (-2 + 2 - k**4)*(-3*k - 2*k + 6*k) + 4*k**2 - 4*k**2 - k**5.
24*k**5 - 2*k**3 - 3*k
Expand -2*y**4 + y**4 - y**4 + (y**2 + 2*y**2 - 4*y**2)*(3*y**2 + 3*y**2 - 5*y**2) - y**4 + 13*y**4 - 3*y**4 + (-3*y + 3*y - y**3)*(0*y + 2*y + 2*y).
2*y**4
Expand (-4*c + 0*c + 3*c)*(132*c + 107*c - 159*c).
-80*c**2
Expand (2*f - 12*f + 0*f)*(0 + 2 + 2)*(1 - 2 - 1 + (0 - 1 + 3)*(2 - 3 - 1) + 3 + 1 - 6).
320*f
Expand -109*y**2 + 109*y**2 + 13*y**5 + 2*y**5 + 0*y**5 - 3*y**5 + (-y**4 + 2*y - 2*y)*(1 - 1 + 2*y) + 0*y**5 - 2*y**5 + y**5.
9*y**5
Expand (5*w + 0*w + w)*(-19*w + 0*w + 3*w).
-96*w**2
Expand (2*s - 1 + 0 + 0*s)*(0*s**4 - 3*s**4 + s**4) + 76*s**4 - 76*s**4 + 16*s**5.
12*s**5 + 2*s**4
Expand (i**4 + 0*i**2 + 0*i**2)*(-2 + 3 - 4 + (-1 - 3 + 2)*(-10 + 0 + 1) + 1 + 1 + 0).
17*i**4
Expand 4*a**4 - 3*a**4 - 3*a**4 + (-3*a - 2*a + 4*a)*(a**3 - 3*a**2 + 3*a**2) - 2*a**4 - a**2 + a**2 + (3*a**3 - 2*a**3 + 3*a**3)*(-11*a + 17*a + 7*a).
47*a**4
Expand ((2*c + 0*c + 0*c)*(3 + 3 - 5) + 796 - 404 - 395 + 7*c)*(-2 - 4 + 4).
-18*c + 6
Expand -5*y**2 + 2*y**2 + 0*y**2 + (2*y + 3*y - 4*y)*(4*y - 3*y + 0*y) + 0*y**2 - 3*y**2 + 2*y**2.
-3*y**2
E | {
"pile_set_name": "DM Mathematics"
} |
, -31513, -1/3?
2/9
What is the biggest value in -0.9, 3313, 0.22, 1/4?
3313
What is the sixth smallest value in -4, 7, 0, -1/2, -0.57, 2/5?
7
Which is the third smallest value? (a) 2345/13 (b) 8 (c) -1.6 (d) 4/7
b
What is the fourth biggest value in 13, 0.07, 4, 2593, 3, 5?
4
What is the fourth smallest value in -0.59, 115.4, -384, 0.2?
115.4
What is the second biggest value in -0.4, 110, -1, -1/3, -6.2, 3, -2.7?
3
What is the second smallest value in -11, 5/6, -27, 15.8, -0.2?
-11
Which is the second biggest value? (a) 5/2 (b) -0.27 (c) 91261
a
Which is the fifth biggest value? (a) -2 (b) 0.1 (c) -466/17 (d) 0 (e) -121
e
Which is the smallest value? (a) -4/7 (b) -73 (c) 4 (d) -0.2 (e) -32 (f) -2/133 (g) 1
b
What is the biggest value in -0.2, 3203, -32, 4/7, 1/3?
3203
What is the fourth biggest value in -44, 7, -311, -0.5?
-311
What is the fifth smallest value in 5, 1/3, 0.039, -2, 0.47, 4, -3/11?
0.47
What is the third smallest value in -2, -220772, 0.4, 11?
0.4
Which is the third biggest value? (a) 988159 (b) -2 (c) 1
b
What is the biggest value in -2/3, 453, 65/41, -6?
453
Which is the third smallest value? (a) 12 (b) -72/5 (c) 4.4 (d) 3 (e) 1/22 (f) 3/2
f
Which is the smallest value? (a) 3/668 (b) 0.3 (c) -1 (d) 1927.9 (e) -6
e
What is the third biggest value in -376/167, -4/17, 0.3?
-376/167
Which is the sixth biggest value? (a) 5 (b) 1/5 (c) -281 (d) -1/16 (e) -0.2 (f) 2/7 (g) -3/7
g
Which is the smallest value? (a) 0.1 (b) -4900 (c) 3 (d) 2/3 (e) 10 (f) -3
b
Which is the fourth smallest value? (a) 26 (b) -39 (c) -0.54 (d) 0.11
a
What is the smallest value in -5, 1, -0.5, -0.07, 8/9155?
-5
What is the fourth smallest value in 2, 7.9, 26, 0.34, -3?
7.9
What is the smallest value in 4, -0.002, 94?
-0.002
What is the second smallest value in 1/5, 0.4, 0.098502, 0.11?
0.11
Which is the third smallest value? (a) -8 (b) -5849030 (c) 1/2
c
What is the fifth biggest value in 4, 876, -3, 1/3, 0.5, -1, 0?
0
What is the fifth smallest value in 0.03, 0, 5, -42, -11, 3.6, -3?
0.03
Which is the fourth smallest value? (a) -5/2 (b) 2 (c) 4 (d) -16838 (e) 0.5
b
What is the fourth biggest value in -4, -6720, 2/1003, 7/5?
-6720
What is the biggest value in 0.2, 101, -2/15907?
101
Which is the biggest value? (a) 21 (b) 0.1 (c) 0.3 (d) -0.22 (e) 0.08
a
What is the third biggest value in 724, 22/181, -0.5?
-0.5
Which is the sixth smallest value? (a) 5 (b) -1/25 (c) 4 (d) -0.3 (e) -5 (f) -2603 (g) -1
c
Which is the biggest value? (a) -2/7 (b) -1.5 (c) -0.1 (d) 1/81 (e) -4 (f) -0.5 (g) 1.38
g
Which is the third smallest value? (a) 19/347 (b) -6.17 (c) 2
c
Which is the fifth smallest value? (a) 3/13 (b) 3 (c) -4.5 (d) -1 (e) -0.06
b
What is the fifth smallest value in -5, -412.97, -4, -3/2, -8/19?
-8/19
Which is the second biggest value? (a) 0.5 (b) 10.37 (c) -0.011 (d) -44 (e) -5
a
What is the fourth smallest value in -0.05, -2/5, -24, -299, -27, -2/15?
-2/5
Which is the sixth biggest value? (a) -8 (b) -4 (c) -2/7 (d) -5 (e) 9 (f) -209 (g) -0.2
a
What is the fourth smallest value in 18, -7.5, -4/3, 530, 2/53?
18
Which is the third smallest value? (a) -5/4 (b) -4.1 (c) -2/103 (d) 2/13
c
What is the smallest value in 1/6, 267746, 0.128?
0.128
Which is the third smallest value? (a) -1.46 (b) -27.48 (c) 3
c
What is the biggest value in -5/57, 1958, 2/19?
1958
Which is the biggest value? (a) -906 (b) 202 (c) 0.5 (d) 1/4 (e) 5
b
Which is the third biggest value? (a) 2/465 (b) 1/4 (c) -179 (d) 0.16 (e) -9
a
Which is the sixth biggest value? (a) -5 (b) 9 (c) 1 (d) 1/2 (e) 1037 (f) 13/6
a
What is the biggest value in -1, 7, 1, 25, -2/13, 125, 5/6?
125
Which is the second biggest value? (a) -1 (b) 263 (c) -287/6 (d) -0.7 (e) -5
d
What is the biggest value in 5, -2/5, 0.1, 0.5, -44.8, 2/9, 9?
9
What is the third biggest value in -0.01, 955630, 0.5, 2/3?
0.5
Which is the second smallest value? (a) 0 (b) -2 (c) -5240/7 (d) -141
d
What is the third smallest value in -0.1, -11, -0.2, -2, -0.7, -2293, 3/2?
-2
Which is the third biggest value? (a) -17/150 (b) -14 (c) -2.37
b
Which is the second smallest value? (a) -0.5 (b) 0.3 (c) -512 (d) -1.7 (e) 0.2 (f) -3/5 (g) -20
g
What is the fifth smallest value in 1/5, -43, 151, -0.33, -2?
151
What is the third smallest value in 250, 8, -4, 1141/5?
1141/5
What is the smallest value in 0, -1.5, -14817?
-14817
What is the fourth biggest value in 2/19, -14, 7.611, -1/18?
-14
Which is the fifth smallest value? (a) -66 (b) 2/15 (c) -4 (d) 2 (e) -0.0837 (f) 2.4
d
What is the fourth smallest value in -1, 0.009, -4, 28, 6?
6
Which is the fourth smallest value? (a) 4 (b) 4.4 (c) -1/2 (d) -7/3870
b
What is the fourth smallest value in 0, 2/585, -309, 5?
5
What is the fifth biggest value in -3, -5, -4, -1, -0.22, -386.3?
-5
Which is the second smallest value? (a) 252661 (b) 0.3 (c) 848
c
What is the second biggest value in -17, -1/8, -1013.54?
-17
Which is the fourth biggest value? (a) -9 (b) -1/4 (c) 49162 (d) -1/2
a
Which is the fourth smallest value? (a) 0.2 (b) 1.1 (c) -1 (d) -2/11 (e) -23 (f) -2 (g) 15
d
What is the second biggest value in -2/55, -24/5, -0.3, 0.5, -0.1, -2/17, 4?
0.5
What is the sixth biggest value in -0.5, -2/11, -3, 0.04, -2/5, 808?
-3
What is the sixth biggest value in 0.01, -2, 5/24, 14, -55/3, 1/7, -0.3?
-2
Which is the third biggest value? (a) -3/2 (b) 2/59 (c) 0.11 (d) 3 (e) -20
b
What is the fifth biggest value in -684, 9/4, 5, -5, 0.2?
-684
Which is the fifth smallest value? (a) -87 (b) 68 (c) 4/95 (d) 1/3 (e) 4
b
Which is the smallest value? (a) 1/210 (b) -94 (c) -58 (d) 1/4
b
Which is the fifth smallest value? (a) -1/8 (b) -2 (c) -6 (d) 2/3 (e) 0.04 (f) -17 (g) -5/4
a
Which is the seventh smallest value? (a) -1/6 (b) 0.3 (c) -2 (d) -1 (e) -144 (f) 0.09249 (g) 1/7
b
Which is the sixth biggest value? (a) -475 (b) 7 (c) 1/3 (d) -2 (e) 1/33 (f) 0.4 (g) -3
g
Which is the third smallest value? (a) -1/9 (b) -0.1 (c) 152 (d) -1/7 (e) 804
b
What is the smallest value in 0.1, -781.6, 21/2?
-781.6
Which is the fourth smallest value? (a) -73 (b) 2/11 (c) 3/7 (d) 5 (e) 5.8 (f) -5
c
What is the fourth smallest value in -84.26, 3, 1/7, 4/9, 1/165?
4/9
What is the smallest value in 3/2, 0.02, 2/21, -4, 12213, -3/4?
-4
Which is the biggest value? (a) -13.8 (b) 158 (c) 108
b
Which is the biggest value? (a) -1/13 (b) -11 (c) 745 (d) -0.3 (e) -389
c
Which is the second smallest value? (a) 66 (b) 5 (c) -3 (d) -48 (e) -7
e
Which is the third smallest value? (a) 0.08 (b) -0.5 (c) -2/273 (d) -2/13 (e) -2/457
c
Which is the biggest value? (a) -39/8 (b) -70/3 (c) 0.09 (d) -4/7 (e) 2/7
e
Which is the second smallest value? (a) 1/1615 (b) 127 (c) 11/13
c
What is the sixth smallest value in -2, 7/3, 0.498, 6, -1/8, 1, 0.6?
7/3
Which is the second biggest value? (a) 0.3 (b) 0.4 (c) -256 (d) 1.5 (e) 0.5 (f) -2 (g) 3
d
What is the second smallest value in -1, -523964, 0.06, 6?
-1
What is the fourth smallest value in 11, 0.017, 5, -0.06, 28?
11
Which is the seventh biggest value? (a) -5 (b) -505 (c) -2 (d) 0.5 (e) 24 (f) 0 (g) 6
b
Which is the third biggest value? (a) 0 (b) -28 (c) 381/7 (d) -1/7 (e) 4 (f) 1/4 (g) 2/9
f
Which is the third biggest value? (a) 0.1 (b) 0.01 (c) 145/4 (d) 7/3 (e) -11/30
a
What is the second biggest value in -5339, -2, 360, -1?
-1
What is the fourth biggest value in -1, 540/11, -1/8, 1, 2/29, -3?
-1/8
What is the third smallest value in -1272.5, -0.1, -1/5, 3/7?
-0.1
Which is the second smallest value? (a) -22.4 (b) -2 (c) 0.821741
b
What is the third biggest value in 1/4, 1473, -0.82, -25/4?
-0.82
Which is the biggest value? (a) 2/7 (b) 2208 (c) -17
b
What is the biggest value in -2/17, -5, -4/5, 2/35, 1/46?
2/35
What is the third biggest value in -0.49, -1.9, -1/3, 0.6, -244, 2?
-1/3
Which is the third smallest value? (a) 2007 (b) 15/46 (c) -1/3 (d) -4
b
What is the fifth smallest value in 3/4, -1/4, -1/5, 22, 22191?
22191
Which is the biggest value? (a) -0.4 (b) 25 (c) -393 (d) 1/3 (e) -2/9 (f) 0.3 (g) 1
b
What is the fourth smallest val | {
"pile_set_name": "DM Mathematics"
} |
32344.3915 + 5429270. Let r = -3098.4 - b. Let f = r - -24. What is f rounded to three decimal places?
-0.009
Let r(c) = -5*c + 2*c + 3 - 5*c + 4*c + c**2. Let a be r(2). Let t(y) = 81001*y**2 + 2*y + 1. Let d be t(a). Round d to the nearest ten thousand.
80000
Let w = -20.56 - -21. Round w to one decimal place.
0.4
Let z = -329.3 - -275. Let l = z - -58. Round l to zero decimal places.
4
Let j = -17.09 - -17. Round j to two decimal places.
-0.09
Let s(t) = -t**2 + 7*t. Let u be s(6). Let h be (-2 + 16/u)*-495. Round h to the nearest one hundred.
-300
Let o = -0.14 - 12.86. Let d = -13.00003 - o. Round d to 5 dps.
-0.00003
Let c be 4/(-3)*(-6)/4. Let u(q) be the second derivative of -1000*q**5 + q**4/12 - q**3/3 + q. Let x be u(c). What is x rounded to the nearest 100000?
-200000
Suppose -2382 - 2330 = -4*f. Let z = 1288 + -710. Let y = z - f. What is y rounded to the nearest 100?
-600
Let g = 55.0000039 + -55. Round g to six dps.
0.000004
Let z(n) = -879*n**2 + 6*n - 7. Suppose 1 = 4*c - 11. Let h be z(c). What is h rounded to the nearest 1000?
-8000
Let m(a) be the second derivative of -749999*a**3/6 - 5*a**2 + a. Let k be m(10). What is k rounded to the nearest 1000000?
-8000000
Let w = 185 - 290. Let y = w + 104.98669. Let h = y + 0.013. Round h to 4 dps.
-0.0003
Let c = 221873 + -421873. What is c rounded to the nearest one hundred thousand?
-200000
Let o = -148153518046 + 148153340981.700142. Let y = 177064 + o. Let d = y - -0.3. Round d to 5 decimal places.
0.00014
Let o = -154082541.000101 - -154082608. Let p = 0.144 - -66.856. Let d = o - p. Round d to 5 dps.
-0.0001
Let s be -10*(8/(-10))/(-2). Let d be 1 + (2 - 2) - s. Suppose d*k = -3*f + 9, 9 = -k - 4*k + 3*f. What is k rounded to two dps?
0
Let w = 21.7 + -21.700436. Round w to four decimal places.
-0.0004
Let z(f) = 165*f - 9. Let v be z(-8). Let l = v - -2389. What is l rounded to the nearest one hundred?
1100
Let j = 156.999937 - 157. Round j to 5 dps.
-0.00006
Suppose -5*i = -2*d + 10, -1 = 5*d + i + 1. Suppose j + d*j - 2*o - 27004 = 0, 0 = 4*j - 3*o - 108006. What is j rounded to the nearest 1000?
27000
Let k = 12645 + -12645.02000005. Let g = -0.02 - k. Round g to 7 decimal places.
0.0000001
Suppose -4*m + 2 = 10. Let s(l) = -3701*l + 7 + 4 + 5 - 18. Let o be s(m). What is o rounded to the nearest 1000?
7000
Let r = -0.007 + 1.657. Round r to one decimal place.
1.7
Let g = -203.7815404 - -35.7814394. Let y = -0.92 + 168.92. Let i = y + g. What is i rounded to 5 dps?
-0.0001
Let s be (-2 - -480) + -4 + 4. Round s to the nearest ten.
480
Suppose 0 = 4*i - 2*i - 322. Let d be (-1 + i)/((-5)/(-5)). Round d to the nearest one hundred.
200
Let k = 51.9959 + -52. Round k to 3 dps.
-0.004
Let t = 0.067014 - 0.067. What is t rounded to 5 dps?
0.00001
Let j be 3/(-6) - 7/(-2). Let b be 6/(-2) - (j + 29994). Round b to the nearest 100000.
0
Let c = 0.2600047 + -0.26. Round c to six decimal places.
0.000005
Let o = -0.25 + -8.35. Round o to zero dps.
-9
Let x(y) = 4*y - 28. Let l be x(7). Let j = 1342927 - 682927. Suppose -j = t - l*t. Round t to the nearest one hundred thousand.
-700000
Let p = -1.29 - -0.6. Let w = 2.9401 - 2.253. Let n = w + p. What is n rounded to three dps?
-0.003
Let k = 304.00000157 + -304. Round k to 7 dps.
0.0000016
Let u(q) = -q**2 + 6. Let d be u(0). Suppose n + d = y, -3*y + 3 = 5*n - 31. Let g be (-3200)/y*5*-1550. What is g rounded to the nearest 1000000?
3000000
Let h be 1 + (-42)/35 + (-5762)/(-10). Round h to the nearest 100.
600
Let s = -3 - 2. Let v = s - -5.05. Let d = v + -0.09. Round d to 1 decimal place.
0
Let b(g) = -g**3 + 21*g**2 - 18*g + 20. Let k be b(25). What is k rounded to the nearest one hundred?
-2900
Let g(n) = 16*n + 5. Let x be g(-4). Let f = x - -123. Let w = f - 119. Round w to the nearest ten.
-60
Let o = -12 - -27. Suppose 2*v + o = 5*v. Let i(u) = -16800*u**3 - u**2 + 5*u. Let n be i(v). What is n rounded to the nearest one million?
-2000000
Let b = -9624 - -15924. What is b rounded to the nearest one thousand?
6000
Let o = 401.000446 + -401. Round o to 5 dps.
0.00045
Let o = -2.3 - 8.7. Let v = o + 11.0005. What is v rounded to three decimal places?
0.001
Suppose 2*w = -4, 5*w = -2*h + 3*h - 13. Suppose 0*r + 6 = h*r, 5*r = 2*q + 6. Suppose -4*m = -q*m. Round m to the nearest 100000.
0
Let c = 0.5 - 0.18. Round c to 1 dp.
0.3
Let n(l) = -4*l**2 - 7*l + 13. Let b(y) = 9*y**2 + 14*y - 25. Let j(m) = -3*b(m) - 7*n(m). Let r be j(-11). What is r rounded to the nearest 10?
30
Suppose -37936 - 103464 = 7*y. Round y to the nearest one thousand.
-20000
Let k = -289890777655004227.99999906 - -289890769072532155. Let x = k + 8582472146. Let a = x + -73. Round a to 7 decimal places.
0.0000009
Suppose -b = -3, 0 = -v - 5*b + 451 + 1204. Round v to the nearest one hundred.
1600
Suppose 0 = 6*f - 2*f + 320000. Round f to the nearest 10000.
-80000
Let c = 362 - 362.00000157. Round c to 7 dps.
-0.0000016
Let o = 0.03299845 + -0.033. Round o to 7 dps.
-0.0000016
Let c = -694720 + 11894719. Let k be c - (2 + -1 + -2). What is k rounded to the nearest one million?
11000000
Let f = 0.00713 + -3.09013. Let h = 2.4 + 0.7. Let g = f + h. Round g to three decimal places.
0.017
Suppose r = -2*r - 6. Let p be (-1758)/2*r/2. Suppose b = 4*b + 4*d + 2644, d - p = b. Round b to the nearest 100.
-900
Let j = 1549848 - -15850152. Round j to the nearest 1000000.
17000000
Let v = 291 - 169. Let o = 81 - v. Let t = -40.877 - o. Round t to 2 decimal places.
0.12
Let n = 8.024783284 + -0.024783364. Let m = 8 - n. Round m to 7 dps.
0.0000001
Let x(y) = -17*y**2 - 11*y - 5. Let o be x(-7). Let d = 321 + o. What is d rounded to the nearest one hundred?
-400
Suppose 3*c = 3*j - 312, -j - j + 202 = c. Suppose j = a + 11. What is a rounded to the nearest ten?
90
Let f = 40.6 - 35. Let z = f - 5.59959. What is z rounded to 4 dps?
0.0004
Let b = -430 + 430.177. Let z = b - 0.17. What is z rounded to 2 decimal places?
0.01
Let t = 124 - 123.9136. What is t rounded to two decimal places?
0.09
Let i = 0.26 - 0.260226. What is i rounded to five decimal places?
-0.00023
Let g = 103 + -717. Let n = -580.3 - g. Let x = n + -28. What is x rounded to the nearest integer?
6
Let o = -7.7 - -7.70066. What is o rounded to 4 decimal places?
0.0007
Suppose -16*o - 133 = -17*o. What is o rounded to the nearest 10?
130
Let i = -55634 - -197394. Let h = i - 61760. What is h rounded to the nearest ten thousand?
80000
Let v(p) = -18*p**3 + p**2 - 7*p - 8. Let n be v(6). Let l = n - -1872. Round l to the nearest one hundred.
-2000
Let k = 118 + -117.99999395. Round k to six dps.
0.000006
Let c = 101.547129 - 94.54712988. Let t = 7 - c. What is t rounded to 7 decimal places?
0.0000009
Let j = 17266 + -8982. Let l = -615 - j. Let s = 15199 + l. What is s rounded to the nearest one thousand?
6000
Let s = -68.000027 + 68. What is s rounded to five dps?
-0.00003
Let t = 1983.26 - 1976.91026. Let f = 6.491 - t. Let w = -0.14 + f. What is w rounded to 4 dps?
0.0013
Let r = -120590.99899938 - -120595.799. Let a = 23.8 - 19. Let g = a - r. Round g to seven dps.
-0.0000006
Let h be 2/(-1 + -2 + 2). Let r be ((-44)/(-3) - h)*132. What is r rounded to the nearest 1000?
2000
Let c = -0.3 + 1.3. Let d = 167.385346 - 168.38534601. Let o = d + c. Round o to 7 dps.
0
Let k(c) = -c**2 - 13*c + 19. Let a be k(-15). What is a rounded to the nearest 10?
-10
Let l = 0.35 + -0.2. Let u = -0.14999943 + l. Round u to seven dps.
0.0000006
Let s(r) = -r**3 - 13*r**2 + 14*r + 7. Let j be s(-14). Suppose 47 = -3*z - j. What is z rounded to the nearest ten?
-20
Let w = -20.95 - 0.05. Let a = 5483953.999964 - 5483933. Let r = a + w. Round r to 5 decimal places.
-0.00004
Suppose 2*q - 11507 = 6293. What is q rounded to the nearest 1000?
9000
Let h = -48.6 - -32. What is h rounded to the nearest integer?
-17
Let x = -2 + 1.5. Let d = 225 + -225.494. Let m = x - d. Round m to two decimal places.
-0.01
Let h = 665097.517109 + -665096. Let u = 2.5171062 - h. Let o = 1 - u. What is o rounded to 6 decimal places?
0.000003
Suppose -5*b + 4*b = -5. Suppose -b*g - 4*o = 4296, 0 = -g + 2*g + o + 859. What is g rounded to the nearest one hundred?
-900
Let a = -331 + 330.999807. What is a rounded to 5 decimal places?
-0.00019
L | {
"pile_set_name": "DM Mathematics"
} |
- 3*v + j*t + 12 = 0. List the prime factors of v.
3
Suppose h = -g + 9902, 27022 + 2652 = 3*g - h. List the prime factors of g.
2, 3, 17, 97
Let j = -8953 - -35829. List the prime factors of j.
2, 6719
Suppose 43*c - 530*c + 23726800 = 88*c. What are the prime factors of c?
2, 2579
What are the prime factors of (6 - (10 - -6))/((-2)/(-3628)*-2)?
2, 5, 907
Suppose 9*s = 7*s + 2622. Suppose -4*x + 8*x = 5*z - 1649, -4*z = 5*x - s. List the prime factors of z.
7, 47
Suppose 0 = 7*i - 22 - 251. Let o = -49 + i. List the prime factors of (5 - 23)/(3/o).
2, 3, 5
Let v(h) = -149*h + 471. What are the prime factors of v(-45)?
2, 3, 13, 23
Suppose -3*x + 32 = x. Suppose x = m + 3*m. What are the prime factors of (-104 - -2)*(-1)/m?
3, 17
Let s(x) = 49*x**2 + 15*x + 1. Let n be s(3). Let h(q) = q**3 + 5*q**2 + 2*q - 1. Let i be h(5). Let j = n - i. What are the prime factors of j?
2, 3, 19
Suppose -13006 = -4*o - 3*p, 3256 = 20*o - 19*o + 3*p. What are the prime factors of o?
2, 5, 13
Suppose -11 = 3*u - 2. Let w be 0 + u - -35 - 0. Let h = w + -5. List the prime factors of h.
3
Let m(a) = -a**3 + a**2 - 2*a - 2. Let f be m(-1). Suppose -j - f*h - 5 = 0, -5*j - 3*h = -h - 15. List the prime factors of 34 - (-1 + j - (6 - 2)).
2, 17
Suppose -4550 - 2029 = 9*j. Let x = -533 - j. List the prime factors of x.
2, 3, 11
Suppose -4*n - 12 = 0, 0*s + 54 = 4*s - 2*n. Suppose s*u = 15*u - 2658. What are the prime factors of (20/(-25))/(u/(-295) + 3)?
2, 59
What are the prime factors of -3 - 7/(-1)*(13 - (-11160)/10)?
2, 5, 79
List the prime factors of (14630 - (20 - 13))/(5/(7 - 2)).
7, 2089
Suppose 0 = 6*u - 13*u - 7. List the prime factors of u/(-5) + 270335/325.
2, 13
Let f(a) = -118*a + 4115. List the prime factors of f(-135).
5, 19, 211
Suppose -147 + 83 = -4*u. Suppose 0 = -u*s + 7*s + 891. List the prime factors of s.
3, 11
Let b be (2 - (-6)/2) + -375. What are the prime factors of ((-74)/b)/(1/185)?
37
Suppose -9526 - 31635 + 11285 = -2*y. What are the prime factors of y?
2, 7, 11, 97
Suppose 3*k = 5*k. What are the prime factors of (-12 - (1 + k))*-13?
13
Let z(d) = -d**2 + 12*d - 15. Let r be z(10). Suppose -r*i + 11 = -2989. What are the prime factors of i?
2, 3, 5
Suppose 292*b - 289*b = -1515. Let c = b - -1114. List the prime factors of c.
3, 7, 29
Let u(c) = 94*c**2 - 162*c + 1408. List the prime factors of u(10).
2, 2297
Suppose -117 - 4839 = -12*m. Let s = m - -93. What are the prime factors of s?
2, 11, 23
Let z(y) = y. Let q be z(5). Let n = q + -2. Suppose -n*m = -2*o + 22, o - 3*m - 7 = -2. List the prime factors of o.
17
Let c(h) = 9*h**2 - 3*h + 1934. List the prime factors of c(-41).
2, 13, 661
Suppose 2*f - 11*s + 7*s - 692 = 0, f = -2*s + 326. Suppose -5*c = -8*c + 708. Let h = f - c. What are the prime factors of h?
2, 5
Let m(o) = -52*o + 122. List the prime factors of m(-21).
2, 607
Suppose -3*w = -3*j - 7422, j + 7432 = -180*w + 183*w. What are the prime factors of w?
37, 67
Suppose 49*x - 25*x = 120. List the prime factors of -4*((1 - x) + -49).
2, 53
Suppose w - 7 = -2*q, 2*q = 7*q - 2*w - 13. Suppose 4*s - 1789 = -3*i, 5*s + q*i = -2*i + 2240. Suppose 3*n + s = 8*n. List the prime factors of n.
89
Let i be 1467/((-9)/18 - -2). Suppose 10*j - 8*j + 2*r - i = 0, -5*j + 2439 = -r. What are the prime factors of j?
2, 61
Let y = 8578 - -5450. List the prime factors of y.
2, 3, 7, 167
Let b(l) = 1887*l - 213. List the prime factors of b(7).
2, 3, 19
Suppose -4*h = h + 4*k - 1, 0 = 5*h - k - 6. List the prime factors of 0 - (-19 + -238 - (1 + h)).
7, 37
Let a(p) = -p - 3. Let m be a(-7). Suppose -q = 4*o + 24, 3*o - 10 = m*q - 3*q. What are the prime factors of (q/6)/((-10)/15)?
2
Let y = -5476 - -5478. List the prime factors of y.
2
Suppose -32*a - 20 = -36*a. Let b = a + 175. What are the prime factors of b?
2, 3, 5
Let r = -22012 - -35058. List the prime factors of r.
2, 11, 593
Let m(r) = 11*r**2 + 31*r + 162. What are the prime factors of m(19)?
2, 3, 787
Let k be 22/(-33)*-15*(-1)/2. Let o be (-6)/(((-15)/(-2))/k). Suppose -4*a + m + 174 = -5, -o*m - 144 = -3*a. What are the prime factors of a?
2, 11
Let f = 115249 + -80356. What are the prime factors of f?
3, 3877
Suppose 2*q = -3*y + 9284, -4*q + 0*y + 18600 = -2*y. List the prime factors of q.
2, 7, 83
Let r(w) = 5*w**3 - 19*w**2 + 18*w - 559. What are the prime factors of r(25)?
3, 7349
What are the prime factors of 4/(-3)*(3 + (-201399)/34)?
2, 3947
Suppose 4*n - 199 = 3*n. Suppose -2*r - 201 = n. List the prime factors of ((-4)/5)/(5 + 1005/r).
2
Suppose -7*f + 2*f + 1980 = 0. Suppose 5*v = -121 + f. Let n = v - -56. What are the prime factors of n?
3, 37
Suppose -2*f + 3*q = -3 + 12, q - 3 = 0. Suppose 5*j - 403 - 6322 = f. What are the prime factors of j?
5, 269
Let w = 58059 + -31123. List the prime factors of w.
2, 7, 13, 37
What are the prime factors of ((-56)/12 - -3) + 6977372/138?
3, 19, 887
Suppose -3*y + 2*j = 7, 2*y - j = -0 - 5. Let r(g) = -68*g - 1. Let a be r(y). Suppose -2*l = -4*l - 2, a = 2*k + l. List the prime factors of k.
2, 3, 17
Let w(b) = 123*b + 1879. What are the prime factors of w(8)?
7, 409
Let w = -30 + 25. Let p(k) = -13*k - 4. List the prime factors of p(w).
61
Let t(d) = -487*d + 10503. What are the prime factors of t(0)?
3, 389
Suppose 3*p = 5*l + 4490, p - 316 = -2*l + 1199. Suppose -5*t + p = -0*t. What are the prime factors of t?
7, 43
Let g(k) = -2*k + 4. Let v be g(0). Suppose 0 = -v*p - 0*p. Suppose 9*f - 402 + 51 = p. List the prime factors of f.
3, 13
Suppose v - 289*t = -284*t + 47948, 4*v - 191918 = -t. What are the prime factors of v?
2, 7, 23, 149
Suppose 0 = q + 3*c - 461, 1855 = 3*q + 5*c + 492. Suppose 2*n = q - 146. Suppose 3*y = -3*t + 6*y + n, -40 = -t + 3*y. List the prime factors of t.
5, 11
Let g = 1885 + -938. Let q = g + -556. What are the prime factors of q?
17, 23
Let j(z) = -2*z**3 + 12*z**2 + 3*z + 1. Let x be j(6). Let r = -5 + x. Suppose 0 = 2*l + r - 56. What are the prime factors of l?
3, 7
Let v(g) = -g**3 - 8*g**2 + 19*g - 6. Let x be v(-10). Suppose -773 = -x*o - 13. Suppose -o = 10*c - 12*c. List the prime factors of c.
5, 19
Suppose -2679 = 3*f - 8475. Suppose 40*x - 34*x = f. What are the prime factors of x?
2, 7, 23
List the prime factors of (156/(-18) - -10)/((-6)/(-4149)).
2, 461
Let l(r) = 25979*r + 485. What are the prime factors of l(1)?
2, 827
Suppose t + 40 = 3*d + 4137, 3*t - 2736 = 2*d. Let z = -708 - d. What are the prime factors of z?
3, 73
Let o = 20035 + -11913. List the prime factors of o.
2, 31, 131
Suppose 1081 - 9784 = -4*o + x, -3*x + 4369 = 2*o. Suppose 6*q - 8*q + 5*d + 1099 = 0, -3*d = -4*q + o. List the prime factors of q.
2, 271
Let q(m) = -m**3 + 6*m**2 - 3*m - 5. Let n = -126 - -131. What are the prime factors of q(n)?
5
Let s be (-299)/(-11) + 2 + (-14)/77. List the prime factors of (82 - s)*2/(-3)*-3.
2, 53
Let k = 61228 + -25506. List the prime factors of k.
2, 53, 337
Suppose 0 = -d + 2, -2*n + d = -d + 12. Let u be (-4 - -4) + n/(-2) + 2. Suppose -4*s + 264 = v - 252, -s - u*v + 144 = 0. What are the prime factors of s?
2
Let a(p) = -2*p - 1 + 2*p - 13*p + 8*p**2 - 13*p. What are the prime factors of a(-5)?
7, 47
Let s = 154 - 152. Suppose -s*o + 420 = -0*o. List the prime factors of o.
2, 3, 5, 7
Let d(y) = -479*y - 41. Let b be d(-4). Suppose 1128*o - 1123*o - b = 0. What are the prime factors of o?
3, 5
Let v = 65888 + -34479. What are the prime factors of v?
7, 641
Let i = 5 - -1819. Suppose 0 = -u + 5*u - 12, 3*m - u = i. List the prime factors of m.
3, 7, 29
Suppose 6*g = -18, -447*p - 4562 = -448*p - 2*g. What are the prime factors of p?
2, 571
Let s(u) = 186*u**2 + 5*u - 18. Let v be s(5). Let h = v + -3244. List the prime factors of h.
3, 157
Let y(t) = t**3 + 2*t**2 + 2*t + 12. Let j be y(0). Let x(q) = q - 9 + j - 20 + 6*q. List the prime factors of x(17).
2, 3, 17
Let p(z) = z**3 - 15*z**2 + 84*z + 14. List the prime factors of p(17).
2, 5, 101
Let n be (4 + 1720/3)*(-6)/(-4). Suppose -7*o = n + 2942. List the prime factors of ((-1)/2)/(16/o).
17
Suppose -3*z - 12 = 0, -u - 4*z - 24 = u. What are the prime factors of 440*(u - (-27)/6)?
2, 5, 11
Suppose -5*f = -f - 2*f. Suppose -3*v + v - 12 = f. List the prime factors of 1071/6 + v/(-12).
179
Suppose -3*g - | {
"pile_set_name": "DM Mathematics"
} |
)). Solve -2*p - 3*z = -8, 4*p - 2 = -3*z + m for p.
-2
Let w(p) = -p**3 - 5*p**2 + 7*p + 9. Let f be w(-6). Let j be 0*(-1)/(-2)*1. Suppose -2*v + j*v + 4 = 0. Solve v*y + 2*c = -8, 0 = -f*c + 3 for y.
-5
Let a be (-1 + -14)/(-5) - 3. Solve -3*v + a*v = 0, -3*v - 16 = -4*b for b.
4
Let f be (-6)/(-4) - 1/(-2). Solve -2*a + 2*n = -0*a, -3*n = -2*a + f for a.
-2
Let f be ((-20)/12 - -1)*-6. Solve 0 = -3*q + 4*h + 8, 2*q - 8 = -0*h + f*h for q.
0
Suppose -2*u + 6 + 20 = 0. Let l = u - 2. Suppose 9 = 5*i - l. Solve 0 = 2*x - 6, -3*x + i*x = 3*b - 9 for b.
4
Let u(d) = -3*d - 1. Let x = 5 - 7. Let y be u(x). Suppose -2*m + 1 = -3. Solve 1 = m*p + f + 2, -y*p - 25 = -5*f for p.
-2
Let n be -11*(-1 - 6/(-3)). Let m = -7 - n. Solve 5*w + 6 = 4*v - 7, m = 2*v - 2*w for v.
-3
Let w(v) = v - 9. Let y be w(12). Suppose q + 2*i - 14 = 0, -3*i + 2*i = q - 9. Solve -3*j - 4 = q*f, y*f = 3*j + 2*j - 32 for f.
-4
Let v = -15 - -22. Solve c = -3, 3*u - v*c + 2*c - 12 = 0 for u.
-1
Let t = -12 + 15. Solve -2*y - 5*p - 10 = -0*y, t*p + 6 = 2*y for y.
0
Suppose 0 = -3*g + 3*u + 6, 8 = g + 3*g + 5*u. Solve 5*x = 15, 3 = -g*o + 3*x - 10 for o.
-2
Let x(f) = f**3 + 9*f**2 + 8*f + 3. Let s be (11/(-22))/((-1)/(-16)). Let d be x(s). Solve 4*l + 29 = 4*b + l, 0 = d*l + 9 for b.
5
Suppose 0 = -5*h - z + 50, 2*h + 5*z - 34 = h. Solve 3*w = 3*v, 4*w + 5*v + 0*v = -h for w.
-1
Let j be (-2 - 0)*(-7 + 6). Solve 5*c - 3 = j*n - 21, 2*n = c + 10 for n.
4
Let q be 5/(-1) + 2 - (-14 + 11). Let w = 2 - 1. Suppose 10 + w = m. Solve q = -4*u - 2*d - 14, 3*u + 3*d = 2*d - m for u.
-4
Suppose 2*b - 6*b = 160. Let w = b + 75. Let a = -24 + w. Solve -x - 16 = 5*d - d, 3*d - 5*x - a = 0 for d.
-3
Let y(o) = o**2 - 7*o - 7. Let d be y(8). Suppose d = m - 5. Let r(q) = q**2 - 3*q - 3. Let j be r(m). Solve 2*h = 0, -v + j = 2*v - h for v.
5
Suppose 0 = -2*z - 2, -6*b = -2*b + 3*z - 49. Suppose d + 3*t + b = 3*d, d - 8 = 2*t. Solve -d*c = -4, 2*o = -4*c + 1 + 3 for o.
-2
Suppose -2*s + 4 = -s. Solve -s*y + 3*l + 12 = 4, -l = -4*y for y.
-1
Suppose 3*p + 2*w = 6, 10 = -3*p + 8*p + 5*w. Let f be 9/7 + 2/(-7). Solve -p = u - 0*z - z, -2*u + f = 3*z for u.
-1
Let w = -31 + 36. Solve u - 3*g + 1 = 10, w*u + 5*g = 5 for u.
3
Suppose 5*b - b = -2*d - 4, 2*b - 2 = d. Suppose 3*g + g = 3*p - 24, 0 = -3*p - 4*g + 48. Solve p = f - 5*v, 2*f - 2 = -v - b for f.
2
Let x be (-5 - (-1 + -1)) + -17. Let h be (56/x)/(4/(-10)). Solve 2*f + 2 = -v - 1, 3*f + 2*v = -h for f.
1
Let r be (-1 - -1)*3/9. Suppose 4*a = -r*a - 3*q + 93, -4*q = -5*a + 93. Solve -2*n = 3*n - m + a, -20 = 5*m for n.
-5
Suppose -10*t + 7 = -13. Solve 2*r + 1 = 5*y - 11, 4*r = -t*y + 24 for y.
4
Suppose 13 = 2*c - 17. Solve -2*r + 18 = 3*a - 6*r, -3*r = -3*a + c for a.
2
Let q = -119 + 123. Solve q*o + c = -0*c - 19, 2*c = -2*o - 14 for o.
-4
Suppose 14 = 5*y - 16. Let s = y + -6. Solve s*o + 3*g - 3 = 2*o, 0 = 5*o - 3*g + 3 for o.
0
Let u be (-2 - -5) + -4 + 1. Suppose u = -i + 4, 2*m + i - 2 = 2*i. Solve 6*p = p - o + 19, -3*p = -m*o + 3 for p.
3
Suppose -i - 3 = -7. Solve -i*f = 4*g - 8, 0*g - 6 = -3*g + 3*f for g.
2
Suppose -5*f + 4*p = -26, 3*f = -f + 4*p + 24. Solve 5*s - f*l + 24 = -4*l, -s = -5*l - 6 for s.
-4
Let p(f) = f**3 - 10*f**2 - f + 12. Let q be p(10). Let i = q - -1. Suppose -2 = -3*r + 4. Solve 6*c - i*c + 12 = -3*b, 17 = r*c - 3*b for c.
1
Suppose 24*v - 15 = 19*v. Solve -4*r - v*x = -2*x + 11, -5*r - 2*x - 16 = 0 for r.
-2
Suppose -4*i - 3*g = -5, 2*g = i - 5 - 10. Solve i*w = -5*d, 3*d - 4*w = d for d.
0
Let x be 3*(-3 - (3 + -11)). Let u = -2 + 5. Let r = u - 1. Solve o + 3 = -a, r*a - 7*o = -2*o + x for a.
0
Suppose 0 = -0*d - 3*d + 9. Let u(y) = y**2 - 3*y. Let g be u(d). Solve g = -4*v - m - 1 - 13, -12 = 4*v + 2*m for v.
-4
Suppose -4*b = -3*b - 8. Let h be (b/12)/((-2)/(-6)). Solve -5 = i, i - 10 = -h*k + 5*i for k.
-5
Suppose -4*w = -8 - 0. Let d be (-123)/(-6) - w/4. Solve b - 3*b + 2 = 2*s, 0 = 5*b + d for s.
5
Suppose -2*k - 12 = -4*a, -4*a + 7 + 7 = -k. Solve -f - 3*n = -2*f, a*f + 4*n = 0 for f.
0
Let h be (-14)/4*128/(-112). Solve h*a + 4 = -4*l - 0, -5*l = -3*a - 3 for a.
-1
Let x(v) = v**2 + 4*v + 4. Suppose 0*f + 4 = -f. Let r be x(f). Let l = -2 + r. Solve 0*c = -4*u + c + 20, -c = -l*u + 10 for u.
5
Let h = 7 + -5. Suppose 0*z - 5*z + 90 = 0. Let v = z + -13. Solve p = v*f - 20, 0 = f - 3*p - h*p - 28 for f.
3
Suppose -5*g + 5 = 2*f + 3*f, 3*g = -f - 7. Suppose -f*p + 4*n + 7 = -7, -5*n = p + 3. Solve p*q = -3*j - 7, -3*q + 3 = -0 for j.
-3
Let d = 15 + -13. Solve 2 = -d*x + 2*k - 5*k, k + 2 = -2*x for x.
-1
Suppose o = 8*o - 21. Solve -o*u = -c + 7, 0*c - 3*u = -5*c - 13 for c.
-5
Suppose -t = -5*t - 5*u - 36, -4*t = 2*u + 36. Let c = -4 - t. Solve -c = y + 5*d, 4*y + 4*d = -4 - 16 for y.
-5
Let q(h) = -h**3 + 3*h**2 + 3*h + 6. Let n be q(4). Solve 24 = 5*w + l - n, 5*w - l = 24 for w.
5
Let z be (-2)/(-8) + 38/8. Let v(a) = -a**3 + 6*a**2 - 5*a - 2. Let n be v(4). Suppose k + 4*k = n. Solve s = r - k*s + 1, -3*r = z*s + 17 for r.
-4
Let a be (1 - (1 + 1))*-5. Solve -a*o + 4*z = -16, 0*o + 20 = -3*o - 5*z for o.
0
Suppose -4*b + 0*b = -20. Let y = 9 + -5. Let w = -45 - -50. Solve 0 = 2*v - 7*v + w*h - 25, y*v + h = -b for v.
-2
Let k(p) = -5*p**2 + 12*p - 25. Let n(m) = m**2 - 3*m + 6. Let c(w) = -2*k(w) - 9*n(w). Let l be c(-5). Solve 5*f - 16 = 3*j, l*j - 2*j - 3*f = -14 for j.
-2
Let m(t) = t**2 - 3*t - 9. Let r be m(5). Solve s - r = 3*d - 12, d - 13 = 5*s for s.
-2
Let p(d) = -7*d**2 - 6*d + 7. Let w(b) = b**2 - b. Let h(u) = -p(u) - 6*w(u). Let x be h(-14). Solve -l + x = -0*z + 4*z, -5*l + 17 = -2*z for l.
5
Let a be 13/(-4) + 3/12. Let i = a - -4. Let l be (i - 2) + (0 - -3). Solve -5*d + z - 14 = 0, l + 0 = -2*z for d.
-3
Let b(c) = -5*c - 1. Let g be b(1). Let q(o) = o**2 + 4*o - 8. Let l be q(g). Suppose -y + 32 = l. Solve 0 = -4*p - a + 1 - 5, -5*a = -4*p - y for p.
-2
Suppose -3*t = -2*t - 5, 5*u = 3*t - 40. Let p = u - -8. Solve 4*j - j - 6 = p*o, 3*j - 22 = -5*o for j.
4
Suppose 3*p - 1 = 5. Solve p*m + 3*x + 16 = 0, -m + 4*x - 8 = -22 for m.
-2
Let i(j) = j**2 + 4*j. Let w be i(-5). Solve w*x + 4 = 4*q - q, -5*q = 2*x - 17 for q.
3
Let z be (-486)/(-72)*8/6. Solve 5*x + 3*f - 2*f + 15 = 0, -3*x = -2*f + z for x.
-3
Let b(r) = r**2 - 12*r - 15. Let q be b(14). Suppose 0*u + 2*u - 8 = 0. Suppose 3*s - u*s = -4. Solve 3*c - o + s = 0, 4*o + q = -c + 2*o for c.
-3
Suppose 4*f - 2*t = 14, 0 = -3*f + 4*t - 7 + 25. Solve 0 = -i - 4, f*y = 2*i - 6*i - 26 for y.
-5
Let y be -1 + 1/((-3)/(-87)). Suppose -5*a - w = -y, -2 = 3*w - 11. Solve 5*t + 3*j = 5, -2*j + 6*j = -5*t + a for t.
1
Suppose -18 = -4*i + 6. Let l = 9 - i. Solve p - 1 = -m - 0, -4*p = -l*m - 11 for m.
-1
Let o(v) = -v**3 + 22*v**2 + 23*v + 2. Let k be o(23). Solve -y - y - k*q + 2 = 0, 5*y - 29 = q for y.
5
Suppose -4*a + 4*n + 18 = -n, -4*n - 8 = 0. Let q be 2/a*(12 + 1). Solve 3*k + 18 = -p + 4*p, 3*k - 2*p = -q for k.
-1
Let a(f) = f**2 + 3*f - 7. Let w be a(5). Let v = -55 + w. Let h = v + 44. Solve 3*l - x - 12 = -28, 3*x = -5*l - h for l.
-5
Suppose 3*i - 1 = 5. Suppose -7*c + i*c + 65 = 0. Solve -2*p - 7 = -f - 0*p, 5*f + 2*p + c = 0 for f.
-1
Let l(y) = y**3 + 8*y**2 + 1. Let h be l(-8). Let q be (0 + 0/h)/(-2). Solve -4*u + 4*d + 12 = -3*u, q = 2*u + 3*d - 2 for u.
4
Let l = -12 + 15. Solve 2*y - 3 = r, -r + l*r - 30 = -5*y for r.
5
Suppose 48 = 4*z - 20. Solve 5*b + z = -t, -3*t + 0*b + 5*b = -29 for t.
3
Let w be (-4)/10 + 134/10. Let v = 19 - w. Solve -g = -v*r + r - 10, g + 2*r = 3 for g.
5
Let v be 9*(-1 - (-4)/3). Let j be 10 - (3/v + -2). Let s = 137 - 126. Solve -c + 0*c - j = -2*z, -4*c - s = 3*z for c.
-5
Let t(y) = 4*y - 16. Let g(u) = -u + 3. Let s(h) = 11*g(h) + 2*t(h). Let o be ((-4)/(-4) + 0)/(-1). Let d be s(o). Solve 0 = d*q + 4*f, -q + 6*q + 18 = f for q.
-3
Suppose 4*r = z - 5*z + 20, -5*r = -2*z + 31. Solve f = -f - 4*x + 8, 5*f = -4*x + z for f.
0
Suppose -2*g - 5 + 27 = 0. Let p = g + -9. Suppose 2*u - u - 13 = -p*o, -o + 5*u - 10 = 0. Solve h - o*s = 2*h + 17, 0 = -5*h + 3*s + 27 for h.
3
Let d = 16 - 14. Suppose -4*n = -d*n - 10. Solve n*t - 13 = 4*i, -4 + 15 = -4*i + 3*t for i.
-2
Suppose 11 = -4*o + 23. Solve o*s = 2*u - 17, -4*u + 11 = -4*s - 13 for u.
1
Let g(q) be the first derivati | {
"pile_set_name": "DM Mathematics"
} |
, -0.1, 1/4?
-0.1
Let r = 6.4 - 6. Let f = -2.7 + 2. Let i = f - -0.6. Which is the nearest to 0.1? (a) -5 (b) r (c) i
c
Let k = 0.624 + 0.076. Which is the nearest to k? (a) 3/5 (b) -0.3 (c) 0.5
a
Let a(d) = d**2 + 9*d + 16. Let i be a(-5). What is the nearest to 1 in i, -0.1, 3/5?
3/5
Suppose -3*a + 3*s = -18, 7*a = 3*a + 5*s + 29. Let p be -4*(-1)/(0 - -1). Let j = p + -3. What is the nearest to j in -3, a, 0?
a
Let o be (4/(-27))/((-4)/6). Let p = -2 - -9/4. Which is the closest to p? (a) 0.4 (b) -1/2 (c) o
c
Let m be 0/2 + (-4)/(-46). Let h = -14 - -17. Let n = 2.6 - 3. Which is the nearest to 0.1? (a) m (b) h (c) n
a
Suppose -v - 8 = -3*v. Suppose -p + v*y = -y + 12, 5*p + y - 18 = 0. Which is the nearest to -1? (a) p (b) 2 (c) 0
c
Let t = -2.2 - -1.8. Which is the closest to -0.2? (a) t (b) 1 (c) -0.3
c
Let w = 195 + -1367/7. What is the nearest to 0.1 in -2, 0.04, w?
0.04
Suppose 30 = 2*m + 14. Suppose -2*v = -d + 1 + 3, -2*v = -3*d + m. What is the closest to v in 0, -4, 0.3?
0
Suppose -5*p - 17 = 3. Let s = 2 - p. Let q be 3/s - (-2)/(-4). Which is the closest to 1? (a) 4 (b) -3 (c) q
c
Suppose -f + 1 = -p, f + 4*p - p + 3 = 0. Which is the nearest to f? (a) -1/2 (b) 2/3 (c) -1
a
Let x = -44.5 + 44. Which is the nearest to 1? (a) -4 (b) -0.2 (c) x
b
Let m = -15 + 19. Let b = -6914/19 + 364. What is the closest to b in m, -3, -3/7?
-3/7
Let b = -1 + 0.7. Suppose 0 = 33*v - 39*v + 6. What is the nearest to 2 in -1/2, v, b?
v
Let m(s) = -2*s - 9. Let h be m(-7). Let t = -2 - -7. Let x = t + -1. Which is the nearest to -0.1? (a) x (b) h (c) -0.4
c
Let s = -0.06 + -0.14. Which is the closest to -1? (a) s (b) -3 (c) -4/3
c
Let x = 11 - 11. Which is the nearest to 0.1? (a) -13 (b) x (c) -1/3
b
Let o = -15 + 11. What is the closest to 0.1 in -5, o, -0.3?
-0.3
Let b = -11/4 + 69/28. What is the nearest to 1 in 2/7, b, 3?
2/7
Let u = 54.3 - 51. Let o = u + 0.7. Let k = -7 - -4. Which is the nearest to o? (a) 0.2 (b) -1 (c) k
a
Let k = -102 - -508/5. What is the closest to -3/4 in 5, 0.4, k?
k
Let h be (-4)/(-14) - (-11)/(-14). Let r be 4/18 - 133/315. Let x be -2 - 18/(-4) - 1. What is the nearest to h in r, x, 0?
r
Suppose 0*m - m + 2*i = -13, 4*m = i + 17. Which is the closest to 0.1? (a) m (b) 4 (c) 12
a
Let h = -0.045 + 0.075. What is the closest to 0.1 in h, 2, 0.1?
0.1
Let i = -1 - -1.4. Let p(l) = l**3 - 1. Let y = -10 + 9. Let z be p(y). Which is the nearest to 0? (a) i (b) 1/6 (c) z
b
Let p be 3 - 4/(2/2). Which is the nearest to -1/2? (a) p (b) 3/5 (c) 1
a
Let j = -5.1 - -5. Let p = -7 - -5. Suppose -4*k - 16 = -4*y, -3 = -4*k + 1. Which is the nearest to 1? (a) p (b) j (c) y
b
Let r be (-6)/(-8) - (-5)/(-10). Which is the nearest to r? (a) 1/3 (b) 0.2 (c) 3
b
Let h = -18 + 20. Let m be (-1)/2*(1 - 4). Which is the closest to 0? (a) m (b) 0.1 (c) h
b
Suppose 5*h + p - 3*p - 14 = 0, 0 = 3*p - 9. What is the closest to 1 in -4, h, -0.22?
-0.22
Let t = 0.5 + -1.3. Let w = t - -0.86. Let r = 0.16 - w. Which is the closest to r? (a) -0.1 (b) -0.2 (c) 2
a
Let d = -0.1 + -0.4. Let s = -71.7 + 75. Let j = s - 0.3. What is the nearest to 1 in 0, d, j?
0
Let i = -2 - -1.9. Let v(s) = s**2 - 4*s + 3. Let r be v(2). What is the closest to -1 in 1, r, i?
r
Let p = 12 - 8. What is the nearest to -5 in -1/2, -0.2, p?
-1/2
Let s = 2 + -1. Let l = 536/35 + -78/5. What is the nearest to -1 in 4, s, l?
l
Let i = 0.34 + -0.74. Let q be (-1*(-9)/(-6))/(-3). Which is the closest to q? (a) i (b) 1/2 (c) -0.5
b
Let s = -104 - -941/9. Let x = -11/36 + s. Let k = 0.2 - 0.4. Which is the nearest to k? (a) -0.1 (b) x (c) 0
a
Let x be 9/12 - 55/84. Which is the nearest to -0.1? (a) x (b) 0.5 (c) 0.1
a
Let f = -53 - -213/4. What is the nearest to 1/3 in f, 2, 3/7?
f
Let b = -18.4 - -16.4. What is the closest to -2 in -2/9, b, 0?
b
Let h = -18.6 - -18.5. Let k = 1 - 1. Which is the nearest to h? (a) 3 (b) 0.3 (c) k
c
Suppose 3*h - 5 = -2*h. Let u = -9 + 10. What is the closest to u in -0.6, h, 5?
h
Suppose -30 = 5*b - 10. Suppose 3*i = -2*s - 7, -5*i = 2*s + 2*s + 15. Let d = 0.5 - 0.3. What is the closest to -0.1 in d, b, i?
d
Let t = -16 + 19. Let r = -4.4 - -0.4. Let u = -1 - 0. Which is the closest to u? (a) -0.2 (b) r (c) t
a
Let j = 47.3 + -47. What is the closest to 2 in -3, j, 1?
1
Let u(w) = w**2 + 10*w - 29. Let b be u(-12). What is the nearest to -0.1 in b, -8, 1?
1
Let v = -4.096 - -0.096. What is the nearest to 1 in -1/6, v, 8/9?
8/9
Let f be (-9)/10 - 30/(-75). Which is the nearest to f? (a) 1/3 (b) -0.3 (c) -3/4
b
Suppose -3*w + 1 + 14 = 0. Let z(p) = -p**2 + 6*p + 5. Let f be z(w). Suppose i - 6*i = -f. Which is the closest to 1? (a) 0.5 (b) i (c) -1
a
Let u(f) = -f**3 + 15*f**2 + 2*f - 26. Let n be u(15). Which is the closest to 0.6? (a) 3 (b) -1 (c) n
b
Let y = 0.1 - 0.2. Let n = -0.14 - -0.04. Which is the closest to n? (a) y (b) -0.3 (c) 0.5
a
Let m = -16.5 + 24.4. Let t = 8 - m. What is the closest to t in 0.2, 2, -1?
0.2
Let z be 32/(-12) + 5/(10/4). Which is the closest to -1/7? (a) z (b) -4 (c) 5
a
Let w = -0.4 - -0.8. Let p = 23 - 8. Let q be ((-4)/150)/((-3)/p). Which is the closest to 1? (a) q (b) 3/8 (c) w
c
Let r = 5 - 2. Let b = r + -3. Let j be ((-20)/15)/(10/(-3)). What is the closest to -1/3 in b, j, -3?
b
Let i be (0 + -1)*-1 - 1. Which is the closest to i? (a) -4 (b) -1 (c) 5
b
Let f = -0.04 - -3.04. Let h = 3.05 + -0.05. Let v = h - f. What is the closest to 2 in 5, v, 0.5?
0.5
Let n = -12 + 0. Let d = n - -11.6. Which is the nearest to 1? (a) 4 (b) d (c) -4
b
Let h = 17/8 - 77/40. Let o be (-375)/(-36) - 1/(-3). Let t = 11 - o. Which is the closest to t? (a) h (b) 4 (c) 0
a
Let y = -0.04 - -0.84. Let n = y - 1. Suppose 0*h + 5 = -5*z + 3*h, -5*h = 0. Which is the nearest to -1? (a) z (b) n (c) -4
a
Let c = 0.05 - -2.95. Let s = 2.5 - c. What is the nearest to -1/3 in 3/4, s, 0.5?
s
Let k be (4/(-14))/(4 + -2). Let q = -2 + 2. Which is the closest to -0.1? (a) 4 (b) q (c) k
c
Let k = 1.1 - 1.6. Which is the nearest to 2? (a) -0.2 (b) -0.3 (c) k
a
Let z = 1.4 + -0.9. What is the nearest to 2 in 3, z, -1?
3
Let f = 1 + 1. Let r = 1.9 - f. Which is the closest to 1? (a) 2 (b) 6/11 (c) r
b
Let d = 4.9 - 0.9. Let r = -0.01 + -0.49. What is the nearest to 0.1 in d, -1, r?
r
Let t(g) = -g**3 + 4*g**2 + 4*g + 9. Let s be t(5). Suppose 8*i = 10*i - s. Let l = 4 - 3. Which is the nearest to i? (a) 1/3 (b) l (c) -1/4
b
Let h(q) = -q + 3. Let p be h(3). Which is the closest to p? (a) 0.5 (b) -0.1 (c) 2
b
Let y = -8.5 + 8. Let v = 6 + -5.6. Which is the nearest to 0? (a) v (b) -1/6 (c) y
b
Let k = -39 - -42. Which is the closest to -3? (a) -4 (b) -0.2 (c) k
a
Let s = 1.97 + 0.03. What is the closest to s in -1/4, -2/5, 0.1?
0.1
Let l = 1/58 + 43/29. Let n = 3 - 1. Suppose -n*r + r = 0. What is the closest to 0 in 5, r, l?
r
Let j = -6 - -6. Let f be 2 + (112/52 - 4). Which is the closest to 3? (a) 2/9 (b) f (c) j
a
Let o be ((-4)/6)/(78/18). Which is the nearest to o? (a) 2/19 (b) -2/3 (c) 1/2
a
Suppose -4*g = -2*r - 6*g, 4*r = -5*g - 2. Let u = 0.39 + 2.61. Which is the nearest to 0.1? (a) r (b) u (c) 0
c
Let m be (-2 - 44/(-16))*-2. Which is the closest to -2? (a) -1/2 (b) -3 (c) m
c
Let k = 3.4 - 0.4. Let l = 0.3 - 0.2. Suppose -13*n + 7*n = -12. Which is the nearest to l? (a) -2 (b) k (c) n
c
Suppose -11 = 5*n + 4. What is the nearest to -0.1 in 0.2, n, -1?
0.2
Let m = -22.1 - -22. Which is the closest to m? (a) -1 (b) 0.1 (c) 2
b
Let k = 31/3 + -10. Let w be (-1)/7*3/3. Let u = -3.2 - -3. Which is the nearest to k? (a) u (b) w (c) -6/5
b
Suppose 6*k - 51 = 3*k. Suppose -5*g = -2*f - 16, 3*g + g - 3*f = k. Let w = 4 + -4.1. Which is the nearest to w? (a) g (b) 0.5 (c) 1/6
c
Let y = 1.2 - 1. Let w = -1 - 0.3. Let r = -0.8 - w. Which is the nearest to -1? (a) r (b) y (c) 0
c
Let d = -16 + 15. Let p = 5 + -5.6. Which is the closest to d? (a) 0 (b) p (c) 0.3
b
Let u be (1/(-3))/((-4)/6). Let v = -11.5 - -11. Let q be ((-3)/4)/(24/16). Which is the closest to q? (a) u (b) -2/9 (c) v
c
Let i(y) = 5*y. Let z be i(2). Let m be -2 + 4 - 26/z. Let k = 2321/7 + -331. Which is the nearest | {
"pile_set_name": "DM Mathematics"
} |
-18) assuming d is positive.
d**(-468)
Simplify o**(1/54)*o*o*o**2 assuming o is positive.
o**(217/54)
Simplify ((b*b/b**10)/b)**(-1/8) assuming b is positive.
b**(9/8)
Simplify (v/(v**(2/17)/v))/((v*v**(-5/4))/v) assuming v is positive.
v**(213/68)
Simplify (z**(2/13)*z**(-4/5))/(z/(z**(-1/3)*z*z)*z)**(16/7) assuming z is positive.
z**(-1922/1365)
Simplify (k*k/(k*k**(-20))*k)/k*(k/((k/((k*k**4/k*k*k)/k*k))/k))/k assuming k is positive.
k**27
Simplify ((f*f/(f*f**(-5/2)*f)*f)/(f**9*f))**29 assuming f is positive.
f**(-377/2)
Simplify (i**(-31))**(-6) assuming i is positive.
i**186
Simplify (h**3/h)**18 assuming h is positive.
h**36
Simplify (m*m*(((m**(-2/5)/m)/m)/m*m)/m)/(m*m**(-1/13)*m)*(m/(m/(m/(m**(-8)*m)*m)*m*m*m))/m**(-1/16) assuming m is positive.
m**(2849/1040)
Simplify (f**(2/9)*f**7)**(-5) assuming f is positive.
f**(-325/9)
Simplify (z**(-4)/z)/z**(1/5)*(z/(z/(z**0/z)))**(-34) assuming z is positive.
z**(144/5)
Simplify (d*d/(d**(-1/4)*d)*d*d/(d/(d**(-6)*d)))/((d*d**4/d)/(d*d/((d**(-6)*d)/d))) assuming d is positive.
d**(5/4)
Simplify (c**13)**24 assuming c is positive.
c**312
Simplify s**(-2)/(s/(s/(s*s/(s*(s/s**(1/4))/s)*s*s)))*(s/((s*s*(s*(s**(-2/7)*s)/s)/s*s*s)/s)*s)**(-2/17) assuming s is positive.
s**(-2459/476)
Simplify (v**(-2/3)/v**5)**(-1/3) assuming v is positive.
v**(17/9)
Simplify (z*z**(1/18)/z*z)/(z/(z**(-1/82)/z)*z) assuming z is positive.
z**(-722/369)
Simplify g**(-14)*g/(g**(-2/31)*g) assuming g is positive.
g**(-432/31)
Simplify (q*q*((q/(q**(3/19)/q))/q)/q*q)/q**(2/13) assuming q is positive.
q**(664/247)
Simplify (v*v**1)**(10/3)*(v/v**0)**31 assuming v is positive.
v**(113/3)
Simplify x*x/(x*x**9*x*x)*((x/(x*x/x**(-22)))/x)/x assuming x is positive.
x**(-35)
Simplify (i/(i**1*i))**(14/11)*i**1*i/(i**(1/12)*i*i) assuming i is positive.
i**(-179/132)
Simplify ((((l/(l/(l*((l/l**(-2))/l)/l))*l*l)/l)/l*l)/l**(-2/7))/(l/(l/(l**(-1/4)*l)))**(-1) assuming l is positive.
l**(113/28)
Simplify (s**(-9)/s)/s*(s*s*s/(s/(s/(s**(-14)/s))))/s assuming s is positive.
s**6
Simplify ((y**(-2)/y*y)**(1/29))**(-1) assuming y is positive.
y**(2/29)
Simplify ((((u/((u*u/u**(-2)*u)/u))/u)/u)/(u/(u/(u*u**(-1/6)))))**49 assuming u is positive.
u**(-1715/6)
Simplify (n**(2/11)*n**(-3/2))**(-6/19) assuming n is positive.
n**(87/209)
Simplify (r**(-1)*r)**16*r**(-1/8)*r/(r/r**(1/2)) assuming r is positive.
r**(3/8)
Simplify c**(-4/15)*c**1/c assuming c is positive.
c**(-4/15)
Simplify (n/(n*n**(-3/2)/n)*n)/(n*n/(n*n**(-1/3))*n*n*n)*(n/(n*n**(1/7)))/n*n/(n*n**(-2/3)) assuming n is positive.
n**(-55/42)
Simplify (i**1)**43*i**3*i*i**0*i assuming i is positive.
i**48
Simplify (l**6*l**(-3))**(3/41) assuming l is positive.
l**(9/41)
Simplify (v*v**(-2/11)*v*v**(-1/2)*v)/(v/v**(-1/5)*v/(v**(-1/8)*v*v)*v) assuming v is positive.
v**(437/440)
Simplify ((p**2/p)/p*p**(-2/13))/((p*p/(p/p**2))/p)**(-32) assuming p is positive.
p**(830/13)
Simplify ((i*i/(i/(i*i/i**0*i*i*i))*i)**(1/24))**11 assuming i is positive.
i**(77/24)
Simplify (s**3*s*s**(-5)/s)**(-19) assuming s is positive.
s**38
Simplify (p**(-3)/(p/p**(-1)))/(p/(p*p**(1/4)/p)*p)**(-3/4) assuming p is positive.
p**(-59/16)
Simplify (w**(-1/2))**(5/3)*(w**(-1))**(2/19) assuming w is positive.
w**(-107/114)
Simplify (k*k/k**12*k)/(k*k**(-37)*k) assuming k is positive.
k**26
Simplify (g**6/(g/g**7))**(3/4) assuming g is positive.
g**9
Simplify (g*(g*g/(((g*g**(-17))/g)/g*g))/g)/(g**(1/14)*g) assuming g is positive.
g**(251/14)
Simplify r/((r**(-20)*r)/r*r)*(r**(-1/4)*r)/r assuming r is positive.
r**(79/4)
Simplify (k**3)**(2/3) assuming k is positive.
k**2
Simplify ((d*d/d**6*d)/d*d**(-1))/(d/d**(2/3))**(-2/47) assuming d is positive.
d**(-703/141)
Simplify (u**(3/7)*u)/u*u*u**5*u**(-2/13)*u*u**(1/10)/u*u assuming u is positive.
u**(6711/910)
Simplify i*((i**(-2/17)*i)/i)/i*i/(i*i*i**(-1))*i*(i/i**(-1/3))/((i**(-4)/i*i)/i) assuming i is positive.
i**(368/51)
Simplify (v*((v/v**(-1))/v*v)/v*v)**(-1/11)/(v/v**(-4/5)*v*v*v*v/v**0) assuming v is positive.
v**(-334/55)
Simplify (x**(-1))**(1/7)*x**0/(x/(x/x**1)) assuming x is positive.
x**(-8/7)
Simplify ((g/(g*g*g**1*g*g))**(-43))**(12/5) assuming g is positive.
g**(2064/5)
Simplify (q**9)**(-9/11) assuming q is positive.
q**(-81/11)
Simplify g*g/(g/((g**13*g)/g))*g**(-3/2) assuming g is positive.
g**(25/2)
Simplify ((v/v**(1/8))/(v**(-6/5)/v))/(v**(-8)*v*v/(v*v**(-1/4))*v) assuming v is positive.
v**(353/40)
Simplify ((q**(3/11)*q*q)/q*q**(-8))/(q**(-6)/(q*q**(-4/3)*q)) assuming q is positive.
q**(-2/33)
Simplify s**(2/3)/((s*s**(-3))/s) assuming s is positive.
s**(11/3)
Simplify ((k**2/k)**18)**(-2/3) assuming k is positive.
k**(-12)
Simplify (b*b**(-3)/b)**(2/83) assuming b is positive.
b**(-6/83)
Simplify ((w**3*w)/((w/(w/w**5))/w))/(w*w**(-2)*w)**(-13/3) assuming w is positive.
1
Simplify (i*i**(-1)/i*i)**(2/49)*(i**(-1/4))**(-28) assuming i is positive.
i**7
Simplify b**11/(b**(2/9)/b*b) assuming b is positive.
b**(97/9)
Simplify (r**(-19)*r**9*r)**(-1/73) assuming r is positive.
r**(9/73)
Simplify c/c**(-2/29)*c**(-2/7)*c**(-1/4)*c*c**(-6)*c assuming c is positive.
c**(-2815/812)
Simplify d**(-16)*d*d**29 assuming d is positive.
d**14
Simplify (q*q**(-6)*q)**(-23) assuming q is positive.
q**92
Simplify ((y**(4/7))**(4/15))**(-18/11) assuming y is positive.
y**(-96/385)
Simplify r*r**(5/9)*r*r*r/(r**10*r) assuming r is positive.
r**(-58/9)
Simplify l**(1/5)*l/(l/(l*l**(5/7)*l*l))*(l**(-2)*l*l)/((l**7*l*l)/l) assuming l is positive.
l**(-143/35)
Simplify ((i/(i/(i**(6/13)*i*i)))/(i**4*i*i))/(i**(2/7))**(-25) assuming i is positive.
i**(328/91)
Simplify (r**(-8)/((r/((r/(r/(r**(-1)/r)))/r))/r))/(r**(-1/3)/r)**(-43) assuming r is positive.
r**(-205/3)
Simplify (u/(u/u**(-1/10))*u)**(-19) assuming u is positive.
u**(-171/10)
Simplify (j**(2/19)*j**19/j)**40 assuming j is positive.
j**(13760/19)
Simplify j**(-1/10)/(j**(2/11)/j)*j**(1/6)/j**(-4/7) assuming j is positive.
j**(1682/1155)
Simplify (s**(-1/15)*s)**13 assuming s is positive.
s**(182/15)
Simplify (((b*b**(-8/7)/b)/b)/((b/b**(11/2))/b))**(-2/15) assuming b is positive.
b**(-47/105)
Simplify a**(-6)*a/(a**(-3)/a)*a*(a/((a**(2/5)*a)/a))/(a**(-2/7)/a) assuming a is positive.
a**(66/35)
Simplify (a**16)**24 assuming a is positive.
a**384
Simplify (a/a**4)**(-11/2) assuming a is positive.
a**(33/2)
Simplify v*(v/(v*(v*v*v**(-1/5))/v))/v*v*v*v*v**(-3) assuming v is positive.
v**(-4/5)
Simplify ((u**1)**(-4))**(-3/32) assuming u is positive.
u**(3/8)
Simplify w**15/w*w*w**13 assuming w is positive.
w**28
Simplify s**(-6/7)*s**(1/5) assuming s is positive.
s**(-23/35)
Simplify (c/c**3*c*c/c**9)/(c/(c/(((c/c**(2/3))/c)/c)*c))**10 assuming c is positive.
c**(53/3)
Simplify (q**6)**47 assuming q is positive.
q**282
Simplify (n**(-1/3))**11/((n*n**(1/4))/(n*n**(-2/7)*n)) assuming n is positive.
n**(-269/84)
Simplify (t**(-1/3))**28*t**(8/3)*t*t*t**(-1/3)*t assuming t is positive.
t**(-4)
Simplify r**(-17)*r/(r/r**(-1/15)) assuming r is positive.
r**(-256/15)
Simplify (n**(-1))**(-44)/(n**(2/25)/n*n*n/(n/n**(3/5))) assuming n is positive.
n**(1083/25)
Simplify o/o**7*o**11/o*o assuming o is positive.
o**5
Simplify (t**(-1/3)/t)**(-2/31)*t**(-2/11)*t**(-1/3) assuming t is positive.
t**(-439/1023)
Simplify (v**(-6)/((v*v**(-3)*v)/v))/((v/(v*v**5/v))/((v/(v**(-7)/v))/v*v)) assuming v is positive.
v**9
Simplify (q*q/(q/q**(-2/5)))/(q/q**3) assuming q is positive.
q**(13/5)
Simplify y**(13/4)/(y**(-38)/y*y) assuming y is positive.
y**(165/4)
Simplify (r/((r**(-1)/r)/r)*r*r*r*r**(1/3)*r)/((r**(-1)/r)/r)**(2/21) assuming r is positive.
r**(181/21)
Simplify (y**(2/5))**(7/2)/((y*y**1)/y)**(-26) assuming y is positive.
y**(137/5)
Simplify (u**(-2)*u*u/u**3)**(2/3) assuming u is positive.
u**(-2)
Simplify (k/k**1)**50*(k**(3/5)/k*k)/(k**7*k) assuming k is positive.
k**(-37/5)
Simplify i**(-1/69)/(i/((i**26/i*i)/i)) assuming i is positive.
i**(1655/69)
Simplify ((f**(-4/5)*f*f)/f**(-5/2))**7 assuming f is positive.
f**(259/10)
Simplify ((c/c**1)/c)**47 assuming c is positive.
c**(-47)
Simplify ((c/c**(-4))/c)/c**(-7/2) assuming c is positive.
c**(15/2)
Simplify (((t*t/((t**(5/6)*t*t)/t*t)*t)/t)/(t*t**(4/5)*t))**(-50) assuming t is positive.
t**(545/3)
Simplify (i/((i*i**(2/9)/i*i)/i))/i**(-2/9) assumin | {
"pile_set_name": "DM Mathematics"
} |
i(w) + 11*v(w).
2*w**3 - 2*w**2 + w + 2
Let h(p) = 20*p**3. Let g(w) = -10*w**3 + 3*w**2 + 3*w + 3. Let l(z) = 21*z**3 - 7*z**2 - 7*z - 7. Let y(v) = -7*g(v) - 3*l(v). Give -6*h(t) + 17*y(t).
-t**3
Let i(h) = 13*h**3 + 2*h**2 - 2. Let s(p) = 30*p + 193. Let u be s(-9). Let z(b) = 495*b**3 + 77*b**2 - 77. What is u*i(g) + 2*z(g)?
-11*g**3
Let n = -14 - -21. Let k(r) = -371*r**3 + 7*r + 2*r**2 + 7 + 147*r**3 + 2*r**2 + 209*r**3. Let y(g) = -7*g**3 + 2*g**2 + 3*g + 3. Determine n*y(s) - 3*k(s).
-4*s**3 + 2*s**2
Let u be (-2)/14 - (342/(-42) + 5). Let o(v) be the second derivative of -v + 0 - 1/2*v**2 - 1/6*v**u. Let x(t) = -2*t - 2. Determine 5*o(s) - 2*x(s).
-s - 1
Let u(o) = -17*o - 19. Let k(m) = -15*m - 20. Calculate -7*k(f) + 6*u(f).
3*f + 26
Let f(j) = -6*j**2 + 4. Let t(s) be the third derivative of s**5/12 - s**3/2 - s**2. Let d = 51 - 49. Let a be (-6)/12*(-4 - d). Give a*f(i) + 4*t(i).
2*i**2
Let w(u) = u. Let c(y) = 2*y - 11. What is c(r) - 4*w(r)?
-2*r - 11
Let o(y) = 7*y - 95. Let a be o(14). Let d(v) be the second derivative of 1/12*v**4 + 0 - 3*v - 1/2*v**a + 0*v**2. Let u(w) = -w. Calculate -2*d(i) + 7*u(i).
-2*i**2 - i
Let c(q) = -11*q**2 - 13*q + 3. Let s(a) = -4*a**2 - 4*a + 1. Give 2*c(u) - 7*s(u).
6*u**2 + 2*u - 1
Let p(n) be the second derivative of -n**3/2 - 17*n. Let v(i) = -3*i. Let k(j) = -j**3 + 7*j**2 - 8*j + 14. Let z be k(6). Determine z*p(u) - 3*v(u).
3*u
Let y(p) = -p. Let h(r) = 2*r**2 + 113*r + 224. Let j be h(-2). Let x(f) = -3*f**2 + 6*f + 1. Give j*y(q) + x(q).
-3*q**2 + 1
Let d(o) = 13*o + 5. Let n(f) = -2*f + 1. Let a(p) = -26*p - 20. Let s(h) = -a(h) - 6*n(h). Determine -14*d(b) + 5*s(b).
8*b
Let r(f) = 5*f - 3. Let z = 589 + -629. Let d(c) = 65*c - 40. Determine z*r(w) + 3*d(w).
-5*w
Let l(i) = -4*i**2 + i - 2. Let t be -4 + (6/2 - 4). Let h(d) be the second derivative of -3*d**4/4 + d**3/3 - 2*d**2 - 41*d. Calculate t*l(v) + 2*h(v).
2*v**2 - v + 2
Let v(u) = -6*u**2 - 158*u - 11. Let c(n) = -2*n**2 - 53*n - 4. Calculate 11*c(i) - 4*v(i).
2*i**2 + 49*i
Let s(n) be the first derivative of n**4/24 - 19*n**3/3 - 29. Let a(i) be the third derivative of s(i). Let p(k) = -k + 7. What is -6*a(u) + p(u)?
-u + 1
Let c(k) be the second derivative of -2*k**3/3 + 2*k. Let g be 2/5 - (-2020)/(-50). Let u = g + 62. Let q(m) = 15*m. What is u*c(t) + 6*q(t)?
2*t
Suppose 9 = -2*r + 5*r. Let x(k) = -5*k + 4. Let i(j) = 84153*j - 42073*j - 4 - 42074*j. Give r*i(u) + 4*x(u).
-2*u + 4
Let k(a) = 7*a + 6. Suppose -3*d - 138 = -150. Let m(w) = -7*w - 5. What is d*k(o) + 5*m(o)?
-7*o - 1
Let u(b) = -68*b**2 - 7*b + 12. Let f(z) = 66*z**2 + 6*z - 10. Calculate -6*f(p) - 5*u(p).
-56*p**2 - p
Let a(m) = 11*m**2 + 23*m + 4. Let j be a(-2). Let v(x) = -x - 4. Let c(k) = -k - 5. Calculate j*c(b) - 3*v(b).
b + 2
Let x(h) = -7*h**2 - 5*h + 2. Let g(m) = -m**2 - m. Suppose -4*p - 22 = -7*p - 4*t, 31 = 6*p - 5*t. Give p*g(w) - x(w).
w**2 - w - 2
Let t(f) = 2*f**2 + 4*f - 2. Let v(q) = -62*q + 25*q + 36*q - q**2. Calculate -t(h) - 3*v(h).
h**2 - h + 2
Let m be ((11 - 4)/7)/((-2)/(-18)). Suppose -4*o - 2*k = 3*k + 27, -2*o = k + m. Let j(n) = 9*n**2 - 8. Let a(z) = z**2 - 1. Calculate o*j(l) + 24*a(l).
-3*l**2
Let s(j) = j**2 - 2*j - 1. Let y(k) = -61*k**2 + 10*k + 4. Determine -5*s(i) - y(i).
56*i**2 + 1
Let v(g) = -4*g - 3. Let s(w) be the third derivative of -w**4/12 - w**3/3 + 5*w**2. Let y(c) = -9*s(c) + 4*v(c). Let m(t) = -4*t - 11. Give 4*m(f) + 7*y(f).
-2*f - 2
Let t(b) = -23*b**3 - 88*b**2. Let y(w) = -8*w**3 - 29*w**2. Calculate -6*t(j) + 17*y(j).
2*j**3 + 35*j**2
Let w(y) = 1. Let r(j) = 4*j + 9. Calculate -r(g) + 3*w(g).
-4*g - 6
Let y(h) be the second derivative of -h**3/6 - 2*h + 6. Let j(z) = -10*z + 1. Determine j(i) - 4*y(i).
-6*i + 1
Let p(d) = 2*d**3 - 3*d**2 - 3*d - 3. Let c(f) = -11*f + 4. Let k be c(3). Let g = 35 + k. Let w(a) = -6*a**3 + 10*a**2 + 10*a + 10. What is g*w(i) + 20*p(i)?
4*i**3
Let l(m) = 817*m + 12. Let r(z) = -1557202*z - 22876. Determine 5719*l(c) + 3*r(c).
817*c
Let b be -3 + (-14)/4*(-84)/147. Let o(r) = -r**3 - r**2. Let h(q) = 5*q**3 + 3*q**2 + 9. Calculate b*h(s) - 3*o(s).
-2*s**3 - 9
Let a(j) = -5*j**2 + 2*j - 4. Let n(g) = -g**2 + g - 1. Let q = -8 - -12. Let i be (7 - 0) + (128/(-14) - 176/(-154)). Calculate i*a(v) + q*n(v).
v**2 + 2*v
Let z(u) = 2*u**2 + 9*u**2 - 9*u**2 - 5*u**2 + u**2. Let j(q) = 4*q + 2*q**2 - 1 - 2*q - q + 0. What is 2*j(d) + 3*z(d)?
-2*d**2 + 2*d - 2
Let i(q) = q**3 + q. Let k(w) = -26*w**3 - 5*w - 4. What is 5*i(m) + k(m)?
-21*m**3 - 4
Let o(i) = -1. Let n(c) = -2*c**2 + 23*c + 11. Let x be n(12). Let s(a) = a - 1. Calculate x*o(u) + s(u).
u
Suppose 0 = -4*d - t + 166, 7*d - 4*d + 4*t = 118. Let i(n) = 25*n - 6 + 18*n - d*n. Let w(r) = -1. What is i(z) - 4*w(z)?
z - 2
Let d(x) = 4*x**3 - 8*x**2 + 6*x - 10. Let f(m) = -3*m**3 + 6*m**2 - 4*m + 11. What is -5*d(l) - 6*f(l)?
-2*l**3 + 4*l**2 - 6*l - 16
Let m(z) = -28*z**2 - 60*z - 5. Let p(s) = 13*s**2 + 30*s + 2. Give 6*m(k) + 13*p(k).
k**2 + 30*k - 4
Let t(r) = -588*r**2 + 228*r + 96. Let f(u) = -31*u**2 + 12*u + 5. What is -96*f(j) + 5*t(j)?
36*j**2 - 12*j
Let v(c) be the third derivative of c**5/60 - 559*c**2. Let f(x) = -11*x + 13. Let t(p) = 5*p - 6. Let o(i) = -4*f(i) - 9*t(i). What is o(j) + 3*v(j)?
3*j**2 - j + 2
Let m(k) = k**3 + 12*k**2 - 9*k. Let r(o) = 2*o**3 + 23*o**2 - 17*o. Let j(c) = -7*m(c) + 4*r(c). Let u(x) = -7*x**2 + 4*x. Determine 4*j(z) + 5*u(z).
4*z**3 - 3*z**2
Let w(u) = 13*u**2 - 7*u - 4. Let m(i) = 1083 + 1085 + 7*i**2 - 2170 - 4*i. Determine 5*m(z) - 3*w(z).
-4*z**2 + z + 2
Let j(r) = -109*r**3 + 3*r**2 + 3. Let l(s) = -980*s**3 + 28*s**2 + 28. Determine 28*j(d) - 3*l(d).
-112*d**3
Let x(g) = -g**3 - g**2 + 1. Let q(h) = -3*h**3 - 5*h**2. Let t = 308 - 307. Give t*q(i) - 5*x(i).
2*i**3 - 5
Let y(v) = -15*v + 4. Let q(a) = -2*a + 1. Determine -5*q(x) + y(x).
-5*x - 1
Suppose 3*d + 30 = 4*g, 2*d - 6*d = 2*g + 18. Let j(y) = -6*y + 41. Let q(l) = -2*l + 14. Determine d*j(s) + 17*q(s).
2*s - 8
Let n(a) = -a**2 - a - 2. Let m(d) = -4*d**2 - 3*d + 65. What is -m(s) + 3*n(s)?
s**2 - 71
Let s(m) = -m**2 + 3*m - 11. Let r(n) = n**2 - 2*n + 1. Let k(h) = 5*r(h) + s(h). Let l(d) = d**2 - d - 1. Suppose -5*t + 0*t = 30. What is t*l(o) + k(o)?
-2*o**2 - o
Let x(q) = 28*q - 6. Let d(v) = 52*v - 12. Let s(a) = -6*d(a) + 11*x(a). Let g(r) = r**2 + r - 1. Give 3*g(y) + s(y).
3*y**2 - y + 3
Let c(h) = -h**2 + 2*h - 1. Let o(a) = 4*a**2 - 6*a + 3. Let j be (-68)/(-36) - (-5)/(-90)*-2. Give j*o(s) + 7*c(s).
s**2 + 2*s - 1
Let b(j) = j**3 - 3*j**2 - 6. Let q(t) = -2*t**3 - t**2 - 1. Let a(f) = -7*f**3 - f**2 + 3. Let k(p) = -a(p) + 3*q(p). Determine 2*b(y) - 3*k(y).
-y**3 + 6
Let p(l) = -2*l + 2*l**3 + 0*l**3 - 1 + l. Suppose -6*q + 15*q - 18 = 0. Let m(s) = s**3 - s - 1. Determine q*p(c) - 2*m(c).
2*c**3
Let y(k) = -2*k**3 + 5*k**2 + 139*k - 6. Let d(w) = -w**2 - 7*w + 1. Determine -6*d(b) - y(b).
2*b**3 + b**2 - 97*b
Let a(r) = -2*r**3 - 9*r**2 - 3. Let s(k) = k**3 + 5*k**2 + 2. Let t be (-3)/(7/(6 + -13)). Give t*a(h) + 5*s(h).
-h**3 - 2*h**2 + 1
Let w be (-4)/(-6)*15/(-2). Let j(g) = -5*g - 31 - 32 + 90 - 4*g**3 - 32. Let v(p) = 4*p**3 + 6*p + 6. What is w*v(y) - 6*j(y)?
4*y**3
Let j(g) = 5*g**2 - 3*g + 4. Let p(r) = -5*r**2 + 6*r - 15. Let s(w) = 8*w**2 - 9*w + 22. Let b(x) = -7*p(x) - 5*s(x). Give 6*b(f) + 7*j(f).
5*f**2 - 3*f - 2
Let k(g) = 7*g - 3. Suppose 3*f - 48 = -78. Let b(u) = 4*u - 2. Calculate f*b(a) + 6*k(a).
2*a + 2
Let c(l) = -1079*l**3 - 3*l**2 + 3*l + 3. Let s(p) = 59345*p**3 + 166*p**2 - 166*p - 166. Give 166*c(h) + 3*s(h).
-1079*h**3
Let b(c) = -86*c**3 + 25*c**2 - 15. Let j(s) = -57*s**3 + 16*s**2 - 10. What is -5*b(o) + 8*j(o)?
-26*o**3 + 3*o**2 - 5
Let d(i) = 2*i**2 - 12*i + 3. Let c(g) = 11*g - 9*g**2 - 6*g**2 - 2 - g**2 - 3*g**2 + 17*g**2. Give 4*c(l) + 3*d(l).
-2*l**2 + 8*l + 1
Let d(x) = -21*x - 23. Let y(j) = -4*j - 3. Let n(g) = d(g) - 6*y(g). Let s(v) = 3*v - 5. Give -3*n(w) + 2*s(w).
-3*w + 5
Let q(m) = -9*m**2 + 8*m - 11. Let n(g) = 26*g**2 - 23*g + 31. Calculate 4*n(f) + 11*q(f).
5*f**2 - 4*f + 3
Let t(c) = 3 - 1 - 2 + c. Let o(s) be the first derivative of -s**2 - 2 + 17 - 13*s + 12*s. Give o(x) + 3*t(x).
x - 1
Let k(c) = 2*c**2. Let i(x) = -x**2. Let l be 1 - (-7)/(-28)*-20. | {
"pile_set_name": "DM Mathematics"
} |
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2, 599, 37573
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2, 3, 5, 47, 71867
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2, 857, 257861
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17, 23, 227, 1597
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2, 193, 1247641
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251, 468079
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23, 16668319
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2, 3, 5, 11, 739, 4139
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2, 5, 11, 13, 103787
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3, 5, 23, 811, 1171
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19, 109, 3631
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List the prime factors of 1696917796.
2, 7, 60604207
What are the prime factors of 45862675?
5, 19, 96553
List the prime factors of 254466653.
7, 5193197
What are the prime factors of 4259584109?
11, 31, 12491449
What are the prime factors of 1065351362?
2, 4789, 111229
List the prime factors of 578955357.
3, 7147597
List the prime factors of 1575571450.
2, 5, 29, 89, 421
List the prime factors of 200899245.
3, 5, 13393283
List the prime factors of 843618390.
2, 3, 5, 4273, 6581
What are the prime factors of 36051022?
2, 7, 2575073
What are the prime factors of 1681797596?
2, 43, 59, 103, 1609
What are the prime factors of 5049349632?
2, 3, 1095779
List the prime factors of 4138094.
2, 2069047
What are the prime factors of 2970941513?
31, 95836823
List the prime factors of 3190771968.
2, 3, 23, 31, 5827
What are the prime factors of 445902841?
2251, 198091
What are the prime factors of 347998741?
109, 3192649
What are the prime factors of 104674707?
3, 359, 10799
What are the prime factors of 203238697?
31, 83, 78989
List the prime factors of 8676929467.
139, 379, 164707
List the prime factors of 2099596685.
5, 419919337
List the prime factors of 176220445.
5, 89, 396001
What are the prime factors of 96501937?
7, 29, 475379
List the prime factors of 138134857.
7, 19733551
List the prime factors of 66722144.
2, 17, 122651
List the prime factors of 86026404.
2, 3, 181, 39607
What are the prime factors of 32624061?
3, 10874687
List the prime factors of 382341784.
2, 11, 499, 8707
What are the prime factors of 24894445?
5, 4978889
What are the prime factors of 232395387?
3, 7, 1580921
List the prime factors of 227249012.
2, 56812253
List the prime factors of 1954800417.
3, 6857, 95027
What are the prime factors of 142069808?
2, 79, 112397
List the prime factors of 36261094.
2, 293, 61879
What are the prime factors of 46672651?
37, 107, 11789
List the prime factors of 232221636.
2, 3, 263, 24527
List the prime factors of 119720400.
2, 3, 5, 99767
List the prime factors of 1426368726.
2, 3, 79242707
List the prime factors of 35827437.
3, 11942479
What are the prime factors of 216082829?
47, 677, 6791
What are the prime factors of 37007707?
11, 31, 41, 2647
List the prime factors of 90231226.
2, 89, 541, 937
List the prime factors of 2056493691.
3, 7, 57571
What are the prime factors of 627312277?
199, 1301, 2423
What are the prime factors of 80428390?
2, 5, 7, 1148977
What are the prime factors of 242582403?
3, 7, 23, 359, 1399
What are the prime factors of 566576655?
3, 5, 4283, 8819
What are the prime factors of 3575363884?
2, 47, 19017893
List the prime factors of 89732554.
2, 19, 29, 107, 761
What are the prime factors of 74268072?
2, 3, 29, 35569
List the prime factors of 2241015305.
5, 43, 10423327
What are the prime factors of 1832959790?
2, 5, 29, 6320551
List the prime factors of 857990581.
7, 19, 113, 57089
List the prime factors of 2233415536.
2, 11, 1367, 9283
List the prime factors of 82706709.
3, 1381, 19963
List the prime factors of 285869557.
47, 1709, 3559
What are the prime factors of 61269318?
2, 3, 11, 9377
What are the prime factors of 3811421866?
2, 7, 359, 758341
List the prime factors of 55667534.
2, 13, 2141059
What are the prime factors of 722830847?
937, 771431
List the prime factors of 726165866.
2, 829, 437977
List the prime factors of 231820196.
2, 57955049
List the prime factors of 837673515.
3, 5, 7, 886427
List the prime factors of 453242939.
7283, 62233
What are the prime factors of 291104305?
5, 41, 463, 3067
List the prime factors of 131579645.
5, 26315929
List the prime factors of 28041670.
2, 5, 17, 31, 313
List the prime factors of 691368605.
5, 307, 450403
List the prime factors of 44917131.
3, 7, 1049, 2039
List the prime factors of 1595508204.
2, 3, 19, 6997843
List the prime factors of 321299136.
2, 3, 61979
What are the prime factors of 59167170?
2, 3, 5, 657413
List the prime factors of 30862273.
13, 182617
What are the prime factors of 1470041089?
11, 3943, 33893
What are the prime factors of 206849286?
2, 3, 7, 29, 8087
List the prime factors of 161600304.
2, 3, 3366673
What are the prime factors of 864000088?
2, 7, 15428573
List the prime factors of 1157414911.
29, 1867, 21377
List the prime factors of 748872951.
3, 233, 1071349
List the prime factors of 247231779.
3, 82410593
What are the prime factors of 742747411?
7, 19, 5584567
List the prime factors of 184786235.
5, 1913, 19319
What are the prime factors of 63407286?
2, 3, 391403
List the prime factors of 93052181.
23, 137, 29531
List the prime factors of 321802670.
2, 5, 7, 2083, 2207
What are the prime factors of 2689201022?
2, 2963, 453797
List the prime factors of 4908144850.
2, 5, 7, 41, 211, 1621
List the prime factors of 37925275.
5, 23, 65957
List the prime factors of 4918048612.
2, 1019, 1206587
List the prime factors of 2012536949.
61, 199, 317, 523
List the prime factors of 11174761.
13, 71, 12107
List the prime factors of 11654853.
3, 7, 31, 17903
List the prime factors of 361864934.
2, 23, 41, 313, 613
List the prime factors of 427743826.
2, 213871913
List the prime factors of 309959765.
5, 83, 746891
List the prime factors of 1013897628.
2, 3, 9387941
What are the prime factors of 2121573395?
5, 17, 827, 30181
List the prime factors of 220512940.
2, 5, 11025647
List the prime factors of 222332600.
2, 5, 7, 463
What are the prime factors of 227741629?
13499, 16871
List the prime factors of 25974009.
3, 359, 8039
What are the prime factors of 663265067?
43, 2837, 5437
What are the prime factors of 141306361?
7, 3391, 5953
What are the prime factors of 1252464784?
2, 43, 1021, 1783
What are the prime factors of 250412923?
523, 478801
What are the prime factors of 1000362260?
2, 5, 67, 107, 6977
List the prime factors of 1594768775.
5, 463, 137777
List the prime factors of 14370642.
2, 3, 11, 13, 1861
What are the prime factors of 983750592?
2, 3, 11, 379, 1229
What are the prime factors of 37155147?
3, 12385049
What are the prime factors of 1286746 | {
"pile_set_name": "DM Mathematics"
} |
to f.
-21*p**3 - 3
Find the third derivative of 1559*d**5*t**2 - d**4*t**2 + 324*d**2*t**2 - d*t**2 wrt d.
93540*d**2*t**2 - 24*d*t**2
Differentiate 8708*a**2*q**2 + 483*q**2 wrt a.
17416*a*q**2
Differentiate 5506*h**2*y + 6*h**2 + 426*h wrt y.
5506*h**2
What is the third derivative of -125*s**6 - 84*s**2 wrt s?
-15000*s**3
What is the derivative of -31*c**3*n**2 - 3*c**3*n - c**3 + n**4 - 138 wrt n?
-62*c**3*n - 3*c**3 + 4*n**3
Find the second derivative of -2*m*v**4 + 7*m*v**3*z**3 - 6*m*v*z**2 - 2*v*z**3 + 1 wrt v.
-24*m*v**2 + 42*m*v*z**3
Find the second derivative of 3383*q**4 - 2316*q.
40596*q**2
What is the third derivative of -943*j*w**5 - 2*j*w - 24*j + 3*w**2 wrt w?
-56580*j*w**2
Find the third derivative of 170*c**5*j - 2*c**4*j**3 - 3*c**2*j**2 - 3*c**2*j + 20*c*j**3 wrt c.
10200*c**2*j - 48*c*j**3
Find the third derivative of -13377*s**3 - 233*s**2 + 44 wrt s.
-80262
What is the second derivative of -65*j*v**2 + j*v + 3*j + 3*v wrt v?
-130*j
Differentiate -480*a**3*b*g - a**3 - 2*a**2*b*g*p - 37*a**2*p + b*g + 13*g*p wrt b.
-480*a**3*g - 2*a**2*g*p + g
Find the third derivative of -214*c**4 + 270*c**2 wrt c.
-5136*c
Find the third derivative of 906*b**6 + 242*b**2.
108720*b**3
What is the second derivative of -6*w**2*z**3 + 21*w**2*z + 206*w*z**3 wrt w?
-12*z**3 + 42*z
What is the third derivative of 45*j**6 + 103*j**5 + 8369*j**2?
5400*j**3 + 6180*j**2
Find the second derivative of -239*i**4 - 2*i**2 - i + 67 wrt i.
-2868*i**2 - 4
Find the third derivative of 4*o**5 + 65*o**3 - 2*o**2 - 5104 wrt o.
240*o**2 + 390
Find the second derivative of -1312*k**2 - k - 1718 wrt k.
-2624
Find the third derivative of -a*v**5 + 2*a*v**2 - a*v - 2*v**6 - 2394*v**3 - 356*v**2 wrt v.
-60*a*v**2 - 240*v**3 - 14364
Find the third derivative of -195*b**4 + 168*b**2.
-4680*b
What is the derivative of 212*h**2*n**2 + h**2*n*y - 8*h*n**2 + 3227*n**2*y wrt y?
h**2*n + 3227*n**2
What is the third derivative of 3*a**5*w + 4*a**5 + 3*a**4*w - 2*a**2*w - 5*a**2 - 6*a*w wrt a?
180*a**2*w + 240*a**2 + 72*a*w
Find the second derivative of 3040*z**2 + 2814*z.
6080
What is the second derivative of -983*b**4*n + b**3*o**2 + 2*b*n*o**2 + 2*b*n*o - 5*n*o**2 + 60*n wrt b?
-11796*b**2*n + 6*b*o**2
Find the third derivative of 605*o*y**6 + 7*o*y**2 - 22*o + 3*y**6 - 5*y**2 wrt y.
72600*o*y**3 + 360*y**3
What is the third derivative of -2*f**4*g + f**3*g*u**3 - 16*f**3*g + 2*f**2*g*u**3 + 3*f**2*g*u**2 + 3*f**2 wrt f?
-48*f*g + 6*g*u**3 - 96*g
What is the first derivative of -122*b**3*k*t - 2*b**3 + 44*b**2*k**3 - k**3*t wrt t?
-122*b**3*k - k**3
What is the third derivative of -30*x**5 + 293*x**2 - x wrt x?
-1800*x**2
What is the second derivative of -47*m**2*p**2 + 2*m**2 + 2*m*p**2 - 104*m*p wrt p?
-94*m**2 + 4*m
Find the third derivative of -10*j**4*p*r + 30*j**4*p - 3*j**3*r + 3*j**2*p*r - 22*j**2*r + j*p*r + 6*j*r wrt j.
-240*j*p*r + 720*j*p - 18*r
What is the third derivative of 306*r**4 - 906*r**2?
7344*r
What is the third derivative of -147*m**2*z**3 + 9*m**2*z**2 + m**2 - 2*m*z**4 + 2*m*z**3 + 146*m*z**2 + 2*z**3 wrt z?
-882*m**2 - 48*m*z + 12*m + 12
Find the first derivative of -h**4 - 256*h**3 + h + 4127.
-4*h**3 - 768*h**2 + 1
Find the second derivative of -25772*b**4 + 11490*b.
-309264*b**2
Find the second derivative of -64*q**5*v**3 - 4*q*v**3 + v**3 + 2 wrt q.
-1280*q**3*v**3
What is the derivative of -253*o**4 - 267?
-1012*o**3
Differentiate -389*f - 40 wrt f.
-389
What is the derivative of -7061*w + 12442 wrt w?
-7061
Differentiate -182*t**2*x - 137*t**2 wrt x.
-182*t**2
Find the second derivative of -h*i**2 - 79*h*i*x - h*x + 44*i**3*x - 15*i**3 - 3*i*x wrt i.
-2*h + 264*i*x - 90*i
What is the second derivative of 286*v**2 + 2*v - 135?
572
Find the first derivative of 8*b**2*j*o*w - 25*b**2*j*o - 12*b**2*j - 3*b**2*w + 2*b*j*w + 4*j*o - 4 wrt o.
8*b**2*j*w - 25*b**2*j + 4*j
Differentiate -351*z**2 + 163 with respect to z.
-702*z
What is the third derivative of 455*g**3 - 3*g**2 + 104 wrt g?
2730
Differentiate 3*f**4*n + 163*f**2*n - 751*n wrt f.
12*f**3*n + 326*f*n
Find the first derivative of -2319*b + 2761 wrt b.
-2319
What is the second derivative of -123*u**4 - 85*u wrt u?
-1476*u**2
What is the derivative of -30*r*y - 321*r - 22*y - 83 wrt r?
-30*y - 321
Differentiate -18*n**2 - 213*n*o**2 + 9490*o**2 wrt n.
-36*n - 213*o**2
What is the second derivative of 444*f**2*y - f*y - 75*y wrt f?
888*y
Differentiate 4*b**2 + 188*b + 1841 with respect to b.
8*b + 188
Differentiate -387*j**2 + 2769 with respect to j.
-774*j
What is the second derivative of 5*n*w**2 - 772*n*w - 8*w**5 wrt w?
10*n - 160*w**3
Find the third derivative of 86*f**3*i**3*t + 10*f**3*i*o*t + 2*f**3*t + 2*f**2*i**3*o*t - 23*f**2*i*o*t + 2*f**2*o*t + 9*f*i**2*t + 3*i**2*o wrt f.
516*i**3*t + 60*i*o*t + 12*t
What is the second derivative of -2*d**3*k**2 + 45*d**3*k + 104*d**3 + 56*d*k**2 - 85*k**2 wrt k?
-4*d**3 + 112*d - 170
Find the first derivative of -7*q**4 - 9672.
-28*q**3
What is the second derivative of 18*k**2*t**3 + 431*k**2*t**2 - 517*k*t**3 + 9*t**3 wrt k?
36*t**3 + 862*t**2
Find the third derivative of d**5 + 1450*d**3*g**2 + d**2 + 149*d*g**2 - 4*g**2 wrt d.
60*d**2 + 8700*g**2
Find the third derivative of -9236*c**3*p**2 - 4*c**2 - 999*p**2 wrt c.
-55416*p**2
What is the second derivative of -46*x**2 + 168*x wrt x?
-92
What is the first derivative of 2*k**3*m**2 + 551*k**2*m**3 + 2*m**3 - 106 wrt k?
6*k**2*m**2 + 1102*k*m**3
Differentiate -5*p**2*t**2 - 8*p**2 - 10*p*t**2 - 9 wrt t.
-10*p**2*t - 20*p*t
Find the second derivative of 148*a**2 + 231*a wrt a.
296
Find the second derivative of 3*l**4 + 207*l.
36*l**2
What is the third derivative of 112*m**3*q**2*u**3 - 2*m**3*q**2*u**2 + 6*m**2*q*u**3 + 25*m*q**2 wrt m?
672*q**2*u**3 - 12*q**2*u**2
Find the second derivative of 2*h*l**2*t**2*w + 6*h*l**2*t*w**2 - 4*h*l**2*t*w - 6*h*l - 3*l**2*t**2*w + 9*l**2*w**2 + l**2*w - 2*t**2*w**2 wrt w.
12*h*l**2*t + 18*l**2 - 4*t**2
Find the first derivative of -2*m**3 + 2*m*v + 64*m - 1386*v wrt m.
-6*m**2 + 2*v + 64
What is the second derivative of -187*u**5 - 49*u + 2?
-3740*u**3
What is the third derivative of c*i*l*m**3 + 4*c*i*m**3 - 2*c + 42*i*m**2 - 4*i - 13*l*m**3 - l*m wrt m?
6*c*i*l + 24*c*i - 78*l
What is the derivative of 2*d*h**3 - 851*d*h - 438*d + 1 wrt h?
6*d*h**2 - 851*d
Find the third derivative of 888*i**4 - 4*i**2 - 3*i.
21312*i
Find the third derivative of 32*a*s**2*x + 17*a*s*x**3 - a*s + 4*s**2*x**3 - s**2*x + s*x**2 - 3*x**3 wrt x.
102*a*s + 24*s**2 - 18
What is the first derivative of 4*d**2*u**2 - 64*d**2 - 257*u - 8 wrt u?
8*d**2*u - 257
What is the first derivative of 94*v**4 + 2*v**2 - 95?
376*v**3 + 4*v
Find the second derivative of -4230*p**5 - 3*p**4 + 20723*p.
-84600*p**3 - 36*p**2
Find the first derivative of 13*w**4 - 4*w**3 + 122 wrt w.
52*w**3 - 12*w**2
What is the derivative of 123*y**3 + 6*y**2 + 3*y - 4933?
369*y**2 + 12*y + 3
What is the second derivative of 1013*d**2*q**2*y**2 + 2*d**2*y**2 + d**2*y - d*q**2*y - 439*q**2*y - q**2 wrt y?
2026*d**2*q**2 + 4*d**2
What is the third derivative of -439*l**3 + 23*l**2 + 15*l wrt l?
-2634
What is the first derivative of -2*o*r**4 + 3662*o*r**3 - 292*o wrt r?
-8*o*r**3 + 10986*o*r**2
What is the third derivative of 11933*n**5*q + 4*n**2 + 586*q + 3 wrt n?
715980*n**2*q
What is the second derivative of -47*t**4 + t + 141?
-564*t**2
Find the second derivative of 210*g**2*l*z + 3*g**2*l + g**2 + 2*g*l + 2*g - l*z wrt g.
420*l*z + 6*l + 2
Find the third derivative of -3*k**5 - 80*k**4 + 3*k**2 - 98*k wrt k.
-180*k**2 - 1920*k
What is the second derivative of 819*w**3 - 1516*w - 1?
4914*w
Find the second derivative of -20*x**3 + 13*x**2 + 247*x - 2.
-120*x + 26
Find the first derivative of -330*g**2*y + 130*g**2 wrt y.
-330*g**2
Differentiate 13*t**3 - t**2 + 141 with respect to t.
39*t**2 - 2*t
Differentiate -82*y**2 + 3*y + 829 wrt y.
-164*y + 3
What is the third derivative of 175*v**3 - v**2 + 14 wrt v?
1050
Find the second derivative of 5801*y**3 + 6326*y.
34806*y
What is the first derivative of b**2*f*q**2 + 3*b**2*q**2 + 13*b**2*q - 55*b*f*q**2 wrt f?
b**2*q**2 - 55*b*q**2
Differentiate -27540*q*s + 62*q + 2*s + 236 with respect to s.
-27540*q + 2
Find the second derivative of 5367*c**3 + 1720 | {
"pile_set_name": "DM Mathematics"
} |
and 31.
31
Calculate the greatest common divisor of 4716 and 675.
9
What is the greatest common divisor of 740518 and 148?
74
Calculate the highest common factor of 9875572 and 476.
476
What is the highest common factor of 11954 and 1204?
86
Calculate the greatest common factor of 490518 and 4998.
714
Calculate the highest common factor of 357126 and 42.
42
What is the highest common divisor of 1088 and 2?
2
Calculate the highest common divisor of 3056 and 4016.
16
Calculate the greatest common divisor of 65515 and 15.
5
Calculate the highest common factor of 782 and 9078.
34
Calculate the highest common factor of 260965 and 95.
95
What is the greatest common factor of 52877 and 1672?
209
What is the highest common divisor of 9996 and 28560?
1428
What is the greatest common divisor of 7 and 7791?
7
What is the highest common factor of 117572 and 455?
91
Calculate the greatest common factor of 364 and 3458.
182
Calculate the greatest common divisor of 695 and 68249.
139
What is the greatest common factor of 2970 and 340?
10
What is the greatest common factor of 7990 and 2550?
170
What is the greatest common factor of 474 and 27650?
158
What is the highest common divisor of 3773 and 55?
11
What is the highest common factor of 5850 and 5?
5
What is the greatest common divisor of 513786 and 624?
78
Calculate the greatest common divisor of 374 and 4178141.
187
Calculate the greatest common factor of 125477 and 561.
187
What is the highest common factor of 228 and 252738?
114
What is the highest common divisor of 17 and 15511803?
17
What is the highest common divisor of 5145 and 14880?
15
Calculate the highest common divisor of 206395 and 385.
35
What is the highest common divisor of 144 and 34794?
18
What is the highest common factor of 2160 and 250?
10
What is the greatest common divisor of 272238 and 33813?
867
What is the highest common divisor of 31505 and 5?
5
Calculate the highest common factor of 1037 and 55369.
17
Calculate the highest common divisor of 12214 and 5319.
197
Calculate the highest common divisor of 8606445 and 15.
15
Calculate the greatest common factor of 208033 and 263.
263
Calculate the highest common divisor of 3990 and 49590.
570
What is the greatest common factor of 1200 and 1024?
16
What is the greatest common factor of 2525 and 74675?
25
What is the greatest common factor of 1440 and 78240?
480
Calculate the highest common factor of 128 and 2091968.
64
What is the highest common divisor of 34938 and 10999?
647
Calculate the greatest common divisor of 5997 and 3.
3
What is the highest common factor of 17969 and 71281?
119
What is the greatest common divisor of 55 and 114565?
55
What is the greatest common factor of 3496 and 1336?
8
Calculate the highest common factor of 47974 and 3984.
166
Calculate the greatest common factor of 747 and 11454.
249
What is the greatest common factor of 7498 and 2714?
46
Calculate the highest common factor of 14976 and 143.
13
Calculate the greatest common divisor of 72479 and 1573.
121
Calculate the greatest common factor of 779470 and 230.
230
What is the greatest common divisor of 492 and 2299608?
492
What is the highest common divisor of 71 and 80159?
71
What is the highest common factor of 32640 and 360?
120
What is the greatest common factor of 12361 and 188?
47
What is the highest common divisor of 217 and 363661?
31
What is the highest common divisor of 2885 and 40?
5
Calculate the highest common divisor of 26340 and 42.
6
Calculate the greatest common factor of 741 and 2691.
39
Calculate the greatest common divisor of 100 and 24176.
4
What is the greatest common divisor of 6656 and 2808?
104
Calculate the highest common factor of 276069 and 3.
3
Calculate the highest common factor of 895 and 3820.
5
What is the highest common factor of 2513 and 327049?
359
Calculate the highest common factor of 95 and 46873.
19
Calculate the greatest common factor of 21528 and 162.
18
Calculate the highest common factor of 57 and 831.
3
Calculate the greatest common divisor of 1953 and 182466.
279
Calculate the highest common factor of 178 and 84461.
89
Calculate the greatest common factor of 3020 and 1542465.
755
What is the highest common divisor of 964 and 180?
4
Calculate the greatest common divisor of 532 and 78508.
76
Calculate the greatest common factor of 13 and 26.
13
What is the greatest common divisor of 20685 and 245?
35
Calculate the greatest common divisor of 123 and 507375.
123
What is the greatest common factor of 12 and 302056?
4
What is the greatest common factor of 2495 and 18962?
499
Calculate the greatest common divisor of 192 and 93642.
6
Calculate the greatest common divisor of 89397 and 1053.
27
Calculate the greatest common factor of 1103751 and 297.
99
Calculate the highest common divisor of 19986 and 54.
6
Calculate the highest common divisor of 46 and 19340.
2
Calculate the greatest common factor of 137970 and 3465.
315
Calculate the greatest common factor of 1517 and 18409.
41
What is the greatest common factor of 40987 and 1037?
17
What is the highest common factor of 2288349 and 196?
49
Calculate the greatest common factor of 70023 and 153.
51
What is the greatest common divisor of 2278 and 75509?
67
Calculate the greatest common divisor of 2951 and 7709.
13
Calculate the highest common factor of 21472 and 22528.
352
Calculate the highest common factor of 108006 and 141.
141
Calculate the highest common factor of 2946972 and 252.
84
What is the greatest common divisor of 315098 and 426?
142
Calculate the highest common factor of 808 and 5384.
8
What is the highest common factor of 159213 and 438?
219
What is the highest common factor of 40 and 103720?
40
What is the greatest common factor of 62152 and 2312?
136
Calculate the greatest common factor of 66 and 906.
6
Calculate the highest common divisor of 141000 and 640.
40
What is the highest common factor of 8 and 241418?
2
Calculate the highest common factor of 11429 and 198.
11
What is the greatest common factor of 811020 and 42?
42
Calculate the highest common divisor of 32 and 261416.
8
What is the highest common factor of 19313 and 58373?
217
Calculate the highest common divisor of 3960 and 5192.
88
What is the greatest common factor of 318 and 212848?
106
What is the greatest common divisor of 40 and 85970?
10
Calculate the highest common divisor of 1552 and 43262.
194
Calculate the greatest common divisor of 6325 and 44390.
115
What is the highest common factor of 6048 and 281484?
252
Calculate the highest common divisor of 144 and 16928.
16
Calculate the greatest common factor of 11435668 and 1108.
1108
Calculate the greatest common divisor of 1639 and 4023.
149
Calculate the greatest common divisor of 102 and 394077.
51
What is the highest common divisor of 5383937 and 377?
377
Calculate the highest common factor of 837508 and 784.
196
What is the highest common divisor of 5800 and 7400?
200
Calculate the greatest common factor of 1557142 and 1370.
274
What is the greatest common divisor of 15891065 and 155?
155
Calculate the greatest common divisor of 3434337 and 23.
23
Calculate the greatest common divisor of 259548 and 5934.
258
Calculate the highest common factor of 1030 and 587306.
206
Calculate the highest common factor of 12556548 and 9.
9
Calculate the highest common factor of 2627 and 333.
37
What is the greatest common divisor of 102 and 58106?
34
Calculate the greatest common factor of 9108 and 357282.
414
What is the greatest common divisor of 13490 and 5890?
190
What is the greatest common divisor of 15 and 348005?
5
What is the highest common factor of 15 and 144195?
15
Calculate the greatest common divisor of 53 and 347203.
53
Calculate the highest common divisor of 59712 and 64.
64
What is the greatest common divisor of 686 and 35917?
49
Calculate the greatest common factor of 6930 and 19215.
315
What is the greatest common factor of 2737 and 8533?
161
Calculate the highest common divisor of 157920 and 21.
21
What is the greatest common divisor of 1136 and 8240?
16
What is the greatest common divisor of 3631 and 1?
1
What is the greatest common factor of 9 and 8649?
9
What is the highest common factor of 1012 and 3674?
22
Calculate the greatest common factor of 234 and 14859.
117
Calcu | {
"pile_set_name": "DM Mathematics"
} |
rrange -25*p**2 - 355 + 51*p**2 - 25*p**2 to the form i*p**2 + m*p + l and give i.
1
Express 15*k**4 + 12*k**2 - 2 - 2*k**2 - 11*k**4 - 8*k**2 - 6*k**4 - 7*k as h*k**3 + g*k + f*k**2 + i*k**4 + u and give i.
-2
Rearrange 21*w**2 - 17*w**2 + 502*w**4 - 460*w**4 + (4*w - 4*w + w)*(6*w**3 - 4*w**3 - w**3) to the form v*w + f*w**2 + r*w**4 + t*w**3 + x and give r.
43
Express (-206*d**2 - 514*d**2 - 127*d**2 + 152*d**2)*(4 + 1 - 4) in the form z*d**2 + j + q*d and give z.
-695
Express 212 - 322*w + 366*w - 39*w + 2*w - 2*w - w + (2 - 3 - 1)*(-w + 3*w + 0*w) + 0 + 0 - 2*w in the form f + g*w and give f.
212
Express (i**2 + 0 + 0)*((0 + 0 - i)*(6 - 8 + 3) + (i - 3*i + 0*i)*(-2 + 5 - 5)) in the form p + y*i + d*i**2 + v*i**3 and give v.
3
Express -8 + m**4 + 13*m**3 - 2*m**4 + 3*m**2 - 11*m**3 as f*m**3 + v + d*m + i*m**2 + u*m**4 and give f.
2
Rearrange 2*v - 2440 + 22*v**3 + 2440 to the form n*v**3 + m + j*v**2 + k*v and give n.
22
Express (d**3 - 2*d**3 + 0*d**3)*(-4 + 4*d + 4) - d - d**4 + d + (6*d**3 + 1 - 1)*(-d + 0*d - d) as t*d + c*d**3 + g + s*d**2 + v*d**4 and give v.
-17
Rearrange -3*l**4 - l**3 - l**3 - 2 - 4*l**3 - 6*l**2 + 0*l**3 + 5*l**3 to y + t*l**4 + i*l**2 + a*l**3 + f*l and give t.
-3
Express -1 - 2*v + 1 + (5 - 2 - 1 + (-33 + 10 - 5)*(-3 - 1 + 0))*(6*v - 2*v - 3*v)*(-3 + 0 - 2) in the form n + h*v and give n.
0
Express 4*w**2 - 3*w**2 - 2*w**2 + (201*w - 119*w - 111*w)*(0 - 3*w + 0) in the form t*w**2 + h + z*w and give t.
86
Express -117*w**2 + 1605*w - 1605*w + (2 + w - 2)*(-4*w - 4*w + 5*w) + (-3*w + 1 - 1)*(2*w + 0 + 0) in the form i + t*w + p*w**2 and give p.
-126
Rearrange (-17 + 17 - 12*t**2)*(2 - 3 - 2)*(-5 - 23 + 6) to the form x*t + v + k*t**2 and give k.
-792
Express (-10 + 10 + 8*x)*(2 + 1 - 4 - 6*x)*(9*x**2 + 3*x**2 - 4*x**2) as p + d*x**2 + u*x + b*x**4 + v*x**3 and give b.
-384
Express 471*l - 139*l - 33*l + 205*l in the form i + w*l and give w.
504
Rearrange 19*w - 5 + 41*w**2 - 72*w**2 + 29*w**2 to the form m + b*w + n*w**2 and give m.
-5
Express (-4 + 1 + 5)*(-2*r**2 + 3*r**2 - 3*r**2) - r**2 + r**2 - r**2 - 72 + 102*r**2 + 72 as h*r**2 + o*r + s and give h.
97
Rearrange -h - 1 + 1 + (2*h - 2*h - 13*h)*(-2 + 2 + 2)*(2 + 0 - 5) to the form i*h + n and give i.
77
Express 45*n + 23*n + 16*n as t*n + y and give t.
84
Express 61*j**3 + 3*j**3 - 148703*j**2 + 148716*j**2 in the form g*j**2 + h + q*j**3 + r*j and give q.
64
Express (1 - f - 5 + 3)*(-95*f + 359*f + 247*f) in the form w*f**2 + o*f + x and give x.
0
Rearrange 180*t**2 + 25*t**2 - 12*t**2 to b + j*t**2 + f*t and give j.
193
Rearrange 291 + 0*s - 145 - 266 + 3*s to k*s + w and give k.
3
Rearrange -15*s**3 + 4*s**2 - 17*s**3 + 44*s**3 - 2 + 2*s**4 + 2*s - 18*s**3 to the form n*s**3 + b*s + m + k*s**2 + z*s**4 and give m.
-2
Express 8*j - 33 + 65 - 29 - 2*j**2 in the form k*j + u + t*j**2 and give t.
-2
Rearrange -697*k + 1 + 1263*k + 1151*k to z*k + f and give f.
1
Rearrange -k - 14 - 22 - 20 to q*k + d and give d.
-56
Express -11*a + 15*a - 11*a + 8*a**2 in the form f*a + c*a**2 + t and give t.
0
Express (2 - y**2 - 2 + (y + y + 6*y)*(-3*y + 3*y - 2*y))*(1 + 0 + 1)*(0 - 4 - 1)*(y - 2*y + 3*y) in the form w*y**3 + o*y + b + f*y**2 and give f.
0
Rearrange (-244*p + 244*p + 13*p**2)*(5 + 14 - 5)*(-2 + 2 + 2) to l + z*p + r*p**2 and give r.
364
Express 188 - 100 - 89 - 200*x**2 in the form v*x**2 + s + q*x and give s.
-1
Express (0*a + 4*a - 2*a)*(-1 + 1 - 2*a + (a + 2*a - a)*(-260 + 159 - 175)) as y*a + i + b*a**2 and give b.
-1108
Express 0*d + 69*d**2 + 31*d**2 + 7*d**2 + 2*d + 45*d**2 as r + t*d + o*d**2 and give o.
152
Express (-3*a - 5*a + a)*(48*a + 1700 - 1700) as r*a**2 + i + g*a and give r.
-336
Express 8*n - 6 + 2 + 11 - 7 - 3*n**2 - 26*n**3 in the form f*n**2 + s*n + g*n**3 + p and give s.
8
Express -176*i + 113*i - 223 + 62*i in the form w*i + h and give h.
-223
Rearrange (16*d - 21*d - 25*d)*(-4 + 7 - 4 + (1 - 6 + 3)*(-1 - 2 + 1))*(5 + 0 - 4)*(-5 + 1 - 1)*(-2 - 1 + 2) to the form u*d + c and give u.
-450
Express -160*x**3 + 11*x**4 - 3*x**4 + 45 + 322*x**3 - 164*x**3 as d + n*x**3 + m*x**2 + b*x**4 + a*x and give n.
-2
Express (3*y + 2*y - 4*y)*(69 - 7 + 17 + 36)*(-y + 1 - 1) as m + a*y**2 + x*y and give x.
0
Express 3 + 3*g**3 - 32*g - 5*g**2 + 68*g - 14*g - 24*g as p*g**2 + t + s*g + n*g**3 and give n.
3
Rearrange 3474 - 1737 - 1738 - 2*h - 544*h**2 + (5*h - 6*h - h)*(2*h - h + h) to the form u + i*h**2 + d*h and give d.
-2
Express (1 + 4 - 3 + (4 - 3 + 1)*(0 + 2 - 1) + 1 - 3 + 10)*(4*f + 8*f - f) in the form q*f + m and give q.
132
Rearrange (0 + 4 + 0)*(-2 + 4 - 3)*((1 - 1 + 1)*(w - 3*w + 4*w) + 173*w + 309*w + 7*w) to g + x*w and give x.
-1964
Rearrange -12943*q - 649 - 12949*q - q**2 + 25892*q to l*q**2 + s*q + t and give l.
-1
Express 28286*t - 2 + 44*t**2 - 28286*t in the form n*t + q*t**2 + p and give q.
44
Rearrange (2*z - 2*z - 2*z + 14*z - 4*z + 4*z + (0*z - z - z)*(0 - 2 + 3))*(z**3 - 3*z**3 + 4*z**3) to the form p*z**4 + f*z**2 + u*z + h + r*z**3 and give p.
20
Express (22*p + 10*p + 4*p)*(4*p**2 - 6*p**2 - p**2) as j + k*p**3 + f*p**2 + s*p and give k.
-108
Rearrange (-x**2 + 3 - 3)*(-2*x**2 + x**2 + 4*x**2) + 0*x - 53*x**4 - 5*x + 2*x to the form d*x**3 + w*x**2 + o + q*x + k*x**4 and give k.
-56
Rearrange (6*v**2 - 146*v**2 - 217*v**2)*(-4 + 4 + 2) to the form i + r*v**2 + n*v and give r.
-714
Express (-19*d + 22*d - 21*d)*(-4*d - 2 + 2) + (-2*d + 2*d - d)*(3*d + 2*d - 3*d) - 6*d**2 + 2*d**2 - 9*d**2 in the form k*d + c + v*d**2 and give v.
57
Express 14996*r + 0 - r**2 + 2 + 0 - 15081*r as s + t*r**2 + q*r and give t.
-1
Rearrange (-146 + 360 - 136)*(2*z**2 - 2*z**2 - 4*z**2) to m*z**2 + g*z + v and give m.
-312
Rearrange (-2*v + 2*v - 2*v - 1)*(44*v**2 - 48*v**2 + 43*v**2) to u*v**2 + o*v**3 + c + m*v and give o.
-78
Express 5*t - 15*t**2 + 3 - 4*t + 5*t**3 + 9*t**2 - 2*t**3 as s*t**2 + g + r*t**3 + o*t and give r.
3
Rearrange (9 + s - 4 - 3)*(14379 - 87*s - 14379) to the form h + i*s**2 + k*s and give i.
-87
Rearrange 27*u - 424 + 28*u + 31*u - 87*u to p*u + r and give r.
-424
Rearrange 2*i**3 - 2*i**4 - 2*i**3 + (-6*i**3 - 30*i**3 - 35*i**3)*(i - 2*i - i) to b*i + a*i**3 + y*i**4 + k + t*i**2 and give y.
140
Rearrange 324*q**2 + 20963 - 20963 to the form h + m*q**2 + y*q and give m.
324
Rearrange 6 + 14*s + 10 - 10*s to t*s + m and give m.
16
Express -150*m - 2 - 58*m + 2 + 787*m as g + o*m and give o.
579
Express (-3927*d**2 - 13 + 11 - 2*d + 4063*d**2)*(2*d + 0 + 0) as f + x*d**3 + g*d**2 + y*d and give y.
-4
Express (-11*i - 13*i**2 + 11*i)*(i + 3 - 3) - i**3 - 8*i**3 + i**3 + (-i**2 + 5*i**2 - 3*i**2)*(-2*i - 1 + 1) as w + q*i + u*i**3 + n*i**2 and give u.
-23
Express 19*c - 2 - 7*c - 101*c + 4 + 2*c**3 in the form u + w*c**2 + r*c + v*c**3 and give u.
2
Rearrange 101*g**2 + 197*g**2 + 47*g**2 + 130*g**2 to the form r + t*g**2 + v*g and give t.
475
Rearrange (0*i - 62 + i + 61)*(57*i**3 + 12*i**3 - 4*i**3) to the form a*i**3 + v*i**2 + q*i + l + p*i**4 and give q.
0
Rearrange 13*d + 5*d - 3*d + 16*d + 3*d + 2 to j + v*d and give j.
2
Express (7 - 5 - 6)*(-11*t + 173 + 177 - 359) as y + u*t and give y.
36
Rearrange -12*p + 6*p**3 + 5*p**2 + 23*p + 8*p**3 - 9*p to the form j + i*p**3 + v*p**2 + g*p and give i.
14
Express 2*a**3 + 3 - 3 + (4 - 3 - 2)*(-4*a**3 + 0*a**3 + 3*a**3) - 4*a**3 + 11 - 11 - 16*a - 20*a**3 + 16*a as c + g*a**2 + s*a + l*a**3 and give l.
-21
Rearrange 0*m**3 - 17*m + 2*m**3 - 27 + 19*m - m**3 + 2*m**2 to v*m + k*m**2 + p*m**3 + a and give k.
2
Rearrange (-1 + 0 - 1)*(-504 + 988 - 428)*(-12 + 3*k + 12) to the form y + v*k and give v.
-336
Rearrange -309 + 309 + 376*q to the form m + d*q and give d.
376
Rearrange 0*d - 152 + 137 + 12*d to y + s*d and give s.
12
Rearrange (-42*f**4 - 15*f**4 - 24*f**4)*(2 - 3 - 2)*(2 - 3 - 1) to w*f + o*f**2 + s*f**3 + n*f**4 + h and give n.
-486
Rearrange 3*g**2 - 26 - 33 + 0*g**2 + 10 - 4*g**2 to the form r*g**2 + o + q*g and give o.
-49
Rearrange (-5*z - z + 4*z)*(-6*z**2 + 2*z**2 + 2*z**2) - 3*z**3 - 2*z**3 - 2*z**3 - z + 0*z**3 - z**3 + 0*z**3 to the form l*z**2 + y*z + d*z**3 + w and give d.
-4
Express 0*m - 5*m - 34*m - 8*m + 3*m + 2 in the form t + f*m and give t.
2
Rearrange (8*c + 12*c - 7*c)*((-5 - 3 + 6)*(-2 + 2 - 1) - 3 + 2 + 0)*(-2 - 1 + 2) to the form v* | {
"pile_set_name": "DM Mathematics"
} |
ase 9) to base 11.
-6
-1c (base 16) to base 8
-34
Convert -41 (base 13) to base 7.
-104
What is 1 (base 2) in base 15?
1
What is 1111 (base 2) in base 5?
30
-12 (base 12) to base 8
-16
-1 (base 13) to base 12
-1
What is -c (base 16) in base 14?
-c
What is -16a (base 12) in base 5?
-1401
Convert 0 (base 15) to base 9.
0
What is 100000 (base 2) in base 8?
40
What is -1 (base 7) in base 6?
-1
What is 10011010 (base 2) in base 11?
130
Convert 2 (base 9) to base 16.
2
What is d3 (base 14) in base 9?
225
Convert -9 (base 14) to base 5.
-14
Convert 3 (base 5) to base 6.
3
Convert -1 (base 9) to base 3.
-1
-1 (base 8) to base 3
-1
-5 (base 8) to base 6
-5
What is 34 (base 6) in base 11?
20
What is -110000011 (base 2) in base 7?
-1062
Convert 74 (base 9) to base 3.
2111
What is 310 (base 6) in base 9?
136
Convert -6 (base 15) to base 14.
-6
-10 (base 5) to base 8
-5
Convert 23 (base 11) to base 6.
41
Convert 109 (base 12) to base 5.
1103
Convert -20 (base 16) to base 13.
-26
What is 455 (base 7) in base 16?
ec
-2c (base 16) to base 5
-134
100 (base 2) to base 7
4
What is -201 (base 5) in base 13?
-3c
What is 11 (base 2) in base 7?
3
Convert 5 (base 10) to base 2.
101
43 (base 6) to base 4
123
What is -a (base 15) in base 14?
-a
17 (base 10) to base 2
10001
Convert 1 (base 12) to base 5.
1
What is 1000011 (base 2) in base 10?
67
Convert 51 (base 12) to base 10.
61
-11 (base 15) to base 11
-15
-6 (base 11) to base 8
-6
What is -35 (base 6) in base 9?
-25
What is -2a (base 11) in base 2?
-100000
What is 11 (base 4) in base 3?
12
Convert 31 (base 4) to base 14.
d
Convert 1 (base 4) to base 7.
1
Convert -11 (base 12) to base 16.
-d
What is -1b (base 16) in base 5?
-102
Convert -160 (base 9) to base 12.
-b3
213 (base 6) to base 14
5b
What is -3 (base 7) in base 9?
-3
Convert 1 (base 10) to base 14.
1
What is -1111 (base 2) in base 11?
-14
Convert -1 (base 7) to base 13.
-1
Convert 162 (base 7) to base 4.
1131
Convert -233 (base 4) to base 2.
-101111
60 (base 7) to base 8
52
-9 (base 10) to base 14
-9
Convert 3 (base 15) to base 14.
3
1 (base 4) to base 9
1
-a (base 16) to base 12
-a
20 (base 4) to base 12
8
-13 (base 4) to base 14
-7
Convert -1222 (base 3) to base 10.
-53
What is 37 (base 12) in base 6?
111
Convert 15 (base 6) to base 13.
b
Convert -b (base 16) to base 13.
-b
2211 (base 3) to base 12
64
Convert -2 (base 14) to base 9.
-2
Convert 1041 (base 6) to base 2.
11110001
Convert -10 (base 5) to base 10.
-5
What is 54 (base 8) in base 6?
112
Convert 1220 (base 4) to base 13.
80
What is -11 (base 3) in base 12?
-4
Convert 8 (base 11) to base 13.
8
31 (base 5) to base 6
24
Convert 6 (base 13) to base 7.
6
0 (base 5) to base 10
0
-2 (base 14) to base 15
-2
What is -110 (base 2) in base 3?
-20
22 (base 3) to base 11
8
2 (base 3) to base 7
2
21 (base 5) to base 2
1011
What is -55 (base 12) in base 8?
-101
What is -110 (base 4) in base 13?
-17
1000 (base 2) to base 5
13
What is 90 (base 16) in base 4?
2100
15 (base 13) to base 6
30
-353 (base 7) to base 9
-225
-e (base 15) to base 2
-1110
Convert 0 (base 9) to base 7.
0
Convert -9 (base 15) to base 7.
-12
Convert 6 (base 16) to base 2.
110
Convert -1 (base 7) to base 10.
-1
Convert 51 (base 8) to base 14.
2d
Convert 3 (base 5) to base 16.
3
-323 (base 7) to base 13
-c8
What is -2 (base 8) in base 7?
-2
Convert 3 (base 14) to base 8.
3
What is 2 (base 15) in base 6?
2
-1 (base 16) to base 5
-1
What is -5 (base 6) in base 2?
-101
Convert -11 (base 12) to base 9.
-14
Convert -110 (base 2) to base 11.
-6
Convert 7a (base 11) to base 14.
63
4 (base 9) to base 10
4
Convert 3 (base 6) to base 14.
3
What is 512 (base 7) in base 9?
312
Convert -1 (base 3) to base 14.
-1
What is -10010100 (base 2) in base 13?
-b5
82 (base 13) to base 4
1222
-11 (base 14) to base 3
-120
0 (base 13) to base 6
0
-8 (base 12) to base 10
-8
Convert -10011 (base 2) to base 10.
-19
Convert 1001 (base 2) to base 14.
9
Convert -215 (base 6) to base 10.
-83
Convert -d (base 15) to base 9.
-14
What is 20 (base 5) in base 2?
1010
78 (base 9) to base 16
47
What is -16 (base 10) in base 5?
-31
What is -101 (base 8) in base 16?
-41
4c (base 15) to base 4
1020
What is 1 (base 16) in base 2?
1
What is b (base 13) in base 12?
b
Convert 28 (base 9) to base 10.
26
What is -1 (base 10) in base 11?
-1
What is -10d (base 15) in base 8?
-356
Convert -1 (base 5) to base 10.
-1
21 (base 4) to base 12
9
What is -15 (base 14) in base 2?
-10011
Convert -153 (base 9) to base 8.
-201
-3 (base 11) to base 6
-3
Convert -2 (base 4) to base 2.
-10
-9 (base 11) to base 15
-9
-15 (base 15) to base 16
-14
-17 (base 16) to base 4
-113
Convert 10 (base 14) to base 6.
22
What is -3 (base 14) in base 2?
-11
Convert 4 (base 16) to base 6.
4
What is 10 (base 6) in base 12?
6
What is -10 (base 7) in base 2?
-111
-266 (base 9) to base 11
-192
-401 (base 6) to base 15
-9a
What is 14c (base 15) in base 12?
209
-45 (base 11) to base 8
-61
Convert 4 (base 8) to base 14.
4
Convert -16 (base 11) to base 3.
-122
Convert 0 (base 15) to base 3.
0
What is -12 (base 10) in base 5?
-22
What is -2a (base 13) in base 10?
-36
-7 (base 14) to base 8
-7
Convert 133 (base 8) to base 15.
61
What is -34 (base 5) in base 11?
-18
-102 (base 3) to base 8
-13
11 (base 5) to base 14
6
-17 (base 15) to base 6
-34
-12 (base 8) to base 3
-101
12012 (base 3) to base 16
8c
What is 2 (base 8) in base 16?
2
-4 (base 10) to base 7
-4
Convert 231 (base 6) to base 9.
111
30 (base 8) to base 12
20
111 (base 2) to base 4
13
-15 (base 15) to base 10
-20
-1112 (base 3) to base 7
-56
Convert -10 (base 2) to base 8.
-2
Convert 30 (base 5) to base 9.
16
-5 (base 13) to base 12
-5
-1010111 (base 2) to base 14
-63
What is b (base 13) in base 2?
1011
Convert 110101 (base 2) to base 12.
45
What is 3 (base 12) in base 9?
3
-9 (base 16) to base 10
-9
Convert 68 (base 9) to base 11.
57
What is 3 (base 12) in base 2?
11
What is 32 (base 14) in base 13?
35
42 (base 11) to base 7
64
Convert -68 (base 14) to base 3.
-10102
1 (base 7) to base 15
1
Convert 1101 (base 2) to base 14.
d
Convert 1 (base 8) to base 4.
1
Convert 48 (base 11) to base 5.
202
Convert 0 (base 7) to base 10.
0
Convert 1302 (base 5) to base 16.
ca
3 (base 15) to base 7
3
-56 (base 8) to base 9
-51
Convert -7 (base 15) to base 4.
-13
What is 8a (base 12) in base 15?
71
Convert -104 (base 5) to base 6.
-45
25 (base 15) to base 9
38
-1 (base 16) to base 14
-1
What is 2 (base 12) in base 13?
2
Convert 5 (base 14) to base 12.
5
What is -2 (base 16) in base 7?
-2
Convert -a (base 16) to base 4.
-22
111 (base 3) to base 7
16
Convert -1 (base 13) to base 14.
-1
-31 (base 15) to base 4
-232
da (base 14) to base 7
363
0 (base 2) to base 9
0
Convert -1 (base 9) to base 10.
-1
Convert -22 (base 6) to base 7.
-20
What is -3 (base 15) in base 8?
-3
-2a (base 12) to base 5
-114
What is 2 (base 12) in base 9?
2
1 (base 6) to base 11
1
-42 (base 8) to base 9
-37
What is -20 (base 3) in base 4?
-12
Convert 143 (base 6) to base 8.
77
-3 (base 14) to base 9
-3
-2e (base 16) to base 3
-1201
Convert -2 (base 11) to base 15.
-2
Convert 22 (base 3) to base 15.
8
-14 (base 7) to base 5
-21
-30 (base 12) to base 6
-100
Convert 4 (base 6) to base 16.
4
What is 9 (base 14) in base 6?
13
74 (base 11) to base 8
121
Convert 3 (base 8) to base 5.
3
Convert 14 (base 5) to base 6.
13
2 (base 6) to base 13
2
55 (base 6) to base 16
23
What is -23 (base 14) in base 6?
-51
130 (base 4) to base 8
34
What is 0 (base 10) in base 15?
0
What is 4 (base 12) in base 6?
4
What is -10110 (base 2) in base 9?
-24
What is 0 (base 13) in base 3?
0
What is 2 (base 5) in base 8?
2
What is 1c (base 14) in base 13?
20
Convert -2 (base 4) to base 14.
-2
-174 (base 8) to base 15
-84
Convert 1432 (base 5) to base 3.
22222
Convert 131 (base 13) to base 5.
1314
What is 10 (base 12) in base 2?
1100
Convert -53 (base 9) to base 16.
-30
What is -3 (base 14) in base 12?
-3
170 (base 9) to base 3
12100
Convert -65 (base 12) to base 5.
-302
Convert -3 (base 14) to base 6.
-3
What is -131 (base 6) in base 4?
-313
-15 (base 15) to base 10
-20
-12 (base 9) to base 2
-1011
353 (base 7) to base 3
20212
6 (base 10) to base 12
6
Convert -3b (base 12) to base 10.
-47
What is -6 (base 11) in base 13?
-6
Convert -1 (base 12) to ba | {
"pile_set_name": "DM Mathematics"
} |
19/5
c
Let l(r) = -r**3 - 12*r**2 + 85*r - 2. Let n be l(-17). Which is the fourth biggest value? (a) 0.2 (b) -378 (c) n (d) 2
b
Let y = 0.1436 + 1757.8564. Let v = y - 1839.1. Let u = v - -81. Which is the second smallest value? (a) u (b) -0.5 (c) 0.9
a
Let g be (-9486)/34*(0 + (-4)/(-6)). Let h be g/120 - 10/40. Which is the second biggest value? (a) -3/7 (b) h (c) -3 (d) -1
d
Let g = -0.03915 + 0.03915. Which is the third biggest value? (a) 0.2 (b) g (c) -1.181
c
Suppose 132*l - 131*l = 4, 0 = 4*h + l + 32. What is the third biggest value in h, 36/5, -4?
h
Let s = 2.8 + -0.8. Suppose 9 = 2*k - f + 3, 0 = -4*f. Suppose z - k = 0, -3*z = -4*u - z - 2. What is the third biggest value in 1/8, u, -0.6, s?
1/8
Let s = -0.4 - -0.4. Suppose 198 = 24*v - 18*v. Let n = 28 - v. What is the smallest value in n, -1/2, s?
n
Let f = -0.27 + 0.07. Let n = 84 + -76. Suppose 4*t = n, 4*t = p + 2*t + 7. Which is the second smallest value? (a) f (b) p (c) -1/4
c
Let c = -164 + 164.148. Let q = c + 3.852. Let o be 14/(-245)*(-7)/3. What is the second smallest value in o, q, -2/9?
o
Let v = 21242 + -21243.0371. Let h = -0.0371 - v. Let g = 3.7 + -4. Which is the biggest value? (a) g (b) 1/5 (c) -4 (d) h
d
Let a = -10319 - -10323. Let g = 5.94 - -0.06. What is the biggest value in -5, a, g?
g
Let i = -24170 - -3504651/145. What is the second biggest value in -1/5, 1/3, 0.4, i, -2/11?
1/3
Let p = 60 - 3. Let t = p - 55. Which is the third smallest value? (a) -2 (b) -1/6 (c) t
c
Let s be (2/(-15))/((-91)/(-273)). What is the second smallest value in s, 14, 5, -3, 8?
s
Let u = 39/2 + -21. Let g = -18704 + 18704.27. Which is the second biggest value? (a) g (b) -5 (c) u
c
Let q = 1/176 - -133/7568. Let a = q + -131/86. Let g be (-3)/9 + 1/3. What is the second smallest value in g, 1, a, 2/3?
g
Let z = 0 + 1. Suppose -4*x = m, 2*m - 7*m - 2*x = 0. Suppose 6*y + 18 - 48 = m. What is the third smallest value in y, -1/4, z, -2/21?
z
Let u = 549.5 + -549. Let j = -89 + 88.43. Let q = j + 0.17. Which is the second biggest value? (a) -3/10 (b) 1 (c) u (d) q
c
Let u be ((-88)/33)/((-2)/1) + -2. Which is the fourth biggest value? (a) 3 (b) -0.2 (c) u (d) -5 (e) -135/4
d
Suppose 3*n + 2*u + 20 = -17, 5*u = 4*n + 34. Let b = 19 + n. Let z = 497 - 494. What is the third biggest value in b, z, -3/4, 1?
1
Suppose -3210 = 3*j - 1785 + 2460. Which is the third biggest value? (a) -5 (b) j (c) -1/7 (d) -0.1
a
Let s = 3038/11 + -276. Let q = 2198 + -19778/9. Which is the smallest value? (a) q (b) -2 (c) s
b
Suppose 5*x - 2*y = 3*y - 95, 5*x - 4*y = -100. Let j be 4 + 1 + 21 + x. Suppose -h - 4 = -2, 3*m - j*h = 4. Which is the biggest value? (a) m (b) -6 (c) 0.4
c
Let u(p) = -p**2 - 90*p - 261. Let r be u(-87). What is the second biggest value in 4, 3, -1, r, 2/3?
3
Let u be (-144)/(-32) - 5/40*12. What is the second smallest value in 1147, u, 1/5?
u
Let c = -1957.3 - -1957. Let i = -2.1 - -2.2. What is the second smallest value in 0, c, 6, i?
0
Let a(j) = j**3 - 43*j**2 - 32*j - 525. Let n be a(44). Let m = 20 - 20.5. What is the smallest value in 0.3, -4, n, m?
-4
Let l be (-3)/(-4) + (17108/8)/(-13). Let i = -163 - l. Let k = -4.5 - -5. Which is the third biggest value? (a) k (b) i (c) -0.1 (d) -1
c
Let s = -31 + 77. Suppose 9 - s = -r. Let k = r - 40. Which is the smallest value? (a) k (b) -5 (c) -0.2 (d) 0.4
b
Let y(j) = -2*j**3 - 377*j**2 - 188*j - 11. Let p be y(-188). What is the biggest value in 4, -2/69, p?
4
Let j = -115.5 - -115. Let v = 110 + -129. What is the fourth smallest value in -2, j, -0.2, v?
-0.2
Suppose -93 = 1070*h - 1101*h. Let j = 0 + 1. Let f = -93 - -461/5. Which is the fourth biggest value? (a) j (b) h (c) f (d) 4
c
Let l = -19/2479 - 785178/86765. Let v = 46/5 + l. What is the third smallest value in -0.3, v, -0.07?
v
Suppose -8*z + 459 - 371 = 0. What is the second smallest value in z, -2/5, 0.107?
0.107
Let i = -8.939 - -8.919. What is the second smallest value in i, -562, 2, -0.5?
-0.5
Let m = -5737.94 + 5738. What is the third smallest value in 2/3, 2, m, -43?
2/3
Let c = 102.2 + -104.9. What is the third biggest value in c, -3, -24?
-24
Let c = 57478 + -57477.75. Let h(k) = k**3 + 10*k**2 - 11*k - 3. Let o be h(-11). What is the second biggest value in -2/13, 1, o, c?
c
Let i = 234 - 225. Suppose 51*g + i = 48*g. Let x = 5 + -4. What is the third smallest value in -4, g, x, 1/7?
1/7
Let l = 52.4 + -51.4. Which is the third smallest value? (a) -4/5 (b) 0.5 (c) -1 (d) -3/8 (e) l
d
Let z be (-57)/(-4) + -5 - 9. Which is the third biggest value? (a) 0.48 (b) -0.1 (c) z (d) 1/3
c
Let k = -162.5 - -163. Let m = 127.2 + -127. What is the third smallest value in -0.5, m, 0.1, k?
m
Let p = -54.0634 + -0.0366. Let s = -31.1 - p. Which is the biggest value? (a) -0.2 (b) s (c) 0
b
Let r = -644 - -944. Let g = r + -295. What is the second biggest value in 38, g, -1/2?
g
Let u = 1.2312 - 1.2162. Which is the fourth biggest value? (a) u (b) -2/5 (c) -0.12 (d) -2 (e) 0.5
b
Let l = 476/3 - 12379/78. What is the biggest value in 2/7, -1/3, -4, l?
2/7
Let i = 6.00618 + -0.00618. What is the second smallest value in 0.01, 0.1, -1/3, i, 1/3?
0.01
Let g = -1560 + 1563. Let a = -1.5 - -0.5. Let d = 3.9 + 0.1. What is the second biggest value in g, a, -0.5, d?
g
Let g = -2733 - -16399/6. Which is the third smallest value? (a) 49 (b) g (c) -8 (d) -4 (e) -2
e
Let g = 0.3495 + -0.7495. Let j be (-366 + -7)*(-1)/(-246). Let w = 2/123 + j. Which is the biggest value? (a) -1/3 (b) w (c) g
a
Let q = -3351.4 - -3726. Let x = -375 + q. Let i = -12.6 - -14. Which is the smallest value? (a) 4 (b) i (c) x
c
Let y = -25114 - -25113. What is the second smallest value in 2, y, -120, -0.4?
y
Let p = -17.014 + 17. Let q = -0.126 + p. Let n = q - -0.2. Which is the third biggest value? (a) n (b) -3/7 (c) 4
b
Let r = -2212 - -2209. What is the third smallest value in r, -0.3, -5, 1/4?
-0.3
Let s = -11830 + 11830. Which is the second smallest value? (a) 0.09 (b) -82 (c) s
c
Let j = 27.6 + 117.4. Let r = -148 + j. Which is the second smallest value? (a) -1/6 (b) -0.5 (c) 4 (d) r
b
Let k = 118638/43 - 2759. Which is the third biggest value? (a) -25 (b) k (c) 0.4 (d) 2
b
Let g(p) = -23*p + 82. Let m be g(5). Let y be (-18)/m + (-128)/396. What is the second biggest value in 0.4, y, -2/27?
y
Suppose x = -y - 12, 4*y + 2*x - 3*x + 38 = 0. Let n be (-3)/y - 1/2. Let f = 1400/13 - 15426/143. Which is the smallest value? (a) n (b) -8 (c) f
b
Let f = -0.6 + 0.1. Let w = 117.71 - 116.71. Which is the fourth biggest value? (a) w (b) 9 (c) f (d) -0.2
c
Let h = 11 - 9. Let m = h + 2. Let b = -263 + 265. What is the third biggest value in -6, b, m?
-6
Let v = 19230.2 + -19230. Which is the third biggest value? (a) 0 (b) 49 (c) v (d) 59
c
Let q = -272 + 127. Let h = -234 - q. Which is the second smallest value? (a) 5 (b) -1/4 (c) h
b
Let q = -5854 - -5856. Which is the second biggest value? (a) q (b) 5 (c) 79
b
Let u = -50 - -131. Let g be ((-2)/(-10))/(u/135). Which is the third biggest value? (a) -3 (b) -2 (c) g (d) -1/26
b
Let v = -37825/7 + 5404. What is the fourth smallest value in -44, v, -8, -3?
v
Let r = -106.228 + 0.228. Let g = 105.9 + r. What is the third biggest value in g, 0.5, -6/11?
-6/11
Let b = -4.07964 + 0.07964. What is the fourth smallest value in 0, -14, b, -6?
0
Suppose 0 = -4*w + 25 + 15. Let j = -4355 - -4355.3. Let t = -0.05 + -0.95. Which is the second biggest value? (a) j (b) w (c) -0.2 (d) t
a
Let r be 473/(-43) + 0 + (5 - 1). Let d be (6/(-4))/(0 - -4). Let a be 4/6 + (-13)/6. What is the third smallest value in a, r, d?
d
Suppose -k = 2*k, -h + 3*k + 8 = 0. Let t be (-27)/6 + 4/h. Let q = -776 - -775. Which is the third smallest value? (a) 0 (b) q (c) t
a
Let q = 19292 + -5382460/279. Which is the smallest value? (a) q (b) 2 (c) 3
a
Let x = -6112/15305 + -2/3061. Let j = 14 - 14.2. Which is the third smallest value? (a) j (b) -0.33 (c) x
a
Let h = -0.103 - -92.103. Let j = -95 + h. Suppose 0 = -4*g + 14 - 30. What is the second smallest value in j, g, 5, -10?
g
Suppose -10*z - 8 = -14*z. Suppose z*u + 14 = u. Let f be (6/21)/((0 + -2)/u). Which | {
"pile_set_name": "DM Mathematics"
} |
arrange -48*u**3 - 176*u**3 - 2*u**2 + 2 - 2 - 22*u**3 to the form v*u**3 + q*u**2 + k*u + w and give v.
-246
Express -10*c + 35321 - 35317 - 2*c**2 + 5*c**2 as w*c + l*c**2 + g and give l.
3
Rearrange -5*i**3 - 35*i**3 - 9 + 78*i**3 + 0 to h*i + a*i**2 + j*i**3 + c and give j.
38
Express 2*d**3 - 7*d**3 - 4*d**2 + d**3 + 7*d**3 - d**3 + 2 + 2*d**4 in the form p*d + v*d**2 + w + h*d**4 + a*d**3 and give a.
2
Express 1 - 3 + 36*t + 75*t + 1 in the form p + u*t and give p.
-1
Express (5*m + 0*m + 0*m + (1 + 0 - 3)*(-2*m - 1 + 1))*(-69 - 27 + 31) in the form d*m + v and give d.
-585
Express -13*f**3 - 9*f + 46*f**2 - 46*f**2 + 7*f as m*f**2 + p*f + g + s*f**3 and give p.
-2
Rearrange (1 + u - 1)*(100 + 51 - 41)*(-2 + 4 + 4) to f + h*u and give h.
660
Rearrange -9*g**2 + g - 29*g**3 - 23*g**2 + 31*g**2 to the form v*g + a*g**2 + b*g**3 + r and give v.
1
Express (-2*x - x + 6*x)*(-12*x + 13*x + 15*x) - 2*x + 2*x - x**2 as a*x + f + d*x**2 and give a.
0
Express (0 + 2 - 1)*(-43 + 265 - 108)*(-2*m + 2*m - m) as a + u*m and give u.
-114
Express (1 - 1 + u)*(2*u + 2 - 2 + (-4 + 3 - 1)*(-442 + 400*u + 442)) + (2 - 2 + u)*(-2*u - 1 + 1) as c*u + i*u**2 + f and give i.
-800
Rearrange -g - 851*g**3 + 3*g**4 + 1672*g**3 - 4*g**4 - 849*g**3 to u*g**2 + a + z*g**3 + o*g + h*g**4 and give h.
-1
Express -26*j**4 - 1 + 3 + 23*j**4 + 2*j - 15*j**3 - 2 as h + y*j + u*j**2 + a*j**4 + k*j**3 and give y.
2
Express (4 - 3 + 0)*(-75*b + 2*b + 6*b)*((1 + b - 1)*(4*b - 2*b - b) - b**2 - 6*b**2 + 2*b**2) as g*b**2 + i + s*b + t*b**3 and give t.
268
Rearrange 436*d - 62 - 52 - 439*d + (-1 - 3 + 2)*(d - 1 + 1) to a*d + v and give a.
-5
Express 5*x**2 + 19*x**2 - 10*x - 5*x + 10*x + 32*x**2 as c + l*x**2 + k*x and give k.
-5
Rearrange (66 - 49 - 10)*(-x**2 - x**3 + 0 + 4*x**3 + 2) to the form u*x**2 + w*x + q*x**3 + l and give q.
21
Express 9*t**3 - 443*t**3 - 6 + 25 - 20 in the form i*t**2 + f*t + k + h*t**3 and give k.
-1
Express -29*f**2 - f**4 + 29*f**2 + 6*f**3 + (-3*f**3 + 7*f**3 - 2*f**3)*(-3*f + 2*f + 7*f) as n*f**2 + c*f**4 + l*f**3 + g + u*f and give l.
6
Rearrange 7 - 2*b - 5*b**4 + 304*b**2 - 301*b**2 - 5*b**4 to the form t*b**3 + r*b**2 + s*b + c + n*b**4 and give n.
-10
Rearrange (-24*t + 36*t + 56*t)*(2 + 8 - 4) to the form a*t + h and give a.
408
Express -36 + 37*b**2 + 6 + 22 as w*b + z + y*b**2 and give z.
-8
Rearrange 0 - 9*u**3 + 0 + 2*u**2 - 2*u**2 - u**3 + (34*u**2 - 78*u**2 - 34*u**2)*(0*u + 5*u - 4*u) to the form l + d*u**2 + v*u + j*u**3 and give j.
-88
Express -5*w - 6*w**4 + 0*w**3 + 3 + 9*w - 7 - 2*w + w**3 in the form a*w**4 + q + t*w + o*w**3 + f*w**2 and give t.
2
Express (0*k + 0*k - k + (3 - 3 + 2)*(-k + 3*k - k) + 6*k + 2*k - 2*k - 2*k + 12 + 0*k - 15)*(k**2 - 7*k**2 + 3*k**2) as t*k**3 + m*k + q + g*k**2 and give g.
9
Rearrange (0*u + 2*u - 5*u)*(-24840*u + 24840*u - 212*u**3 - 3*u**2) to the form v*u**2 + n*u**4 + d*u**3 + f + q*u and give n.
636
Rearrange 0*z - 5084 - z + 5098 to c + u*z and give c.
14
Express 19*c**2 - 194 - 20*c**2 + 15*c + 194 as i*c**2 + n + u*c and give u.
15
Express (2 + 0 - 1)*(930*r**3 + 5821*r**2 - 5821*r**2 - 1) in the form q*r**3 + o*r**2 + t*r + i and give i.
-1
Express s + s - 4*s + (-23*s + 21*s - 12*s)*(-1 + 8 + 11) in the form t*s + z and give t.
-254
Rearrange (-4 + 16*b - 9*b + 1)*(-7*b**2 + 2*b**2 - 4*b**2)*(0*b + 6*b + 2*b) to s*b**4 + p*b + t*b**3 + w*b**2 + q and give t.
216
Rearrange 162 + 0*n**2 - 167 + n**2 - 2*n**3 to the form b + t*n**3 + i*n**2 + a*n and give b.
-5
Rearrange (373*c**3 + 184*c**3 + 13083*c - 13083*c)*(4 - 3 + 0) to the form x*c + m*c**2 + t + r*c**3 and give t.
0
Express 2 - 43*o - o**2 + 15*o - 6*o**4 + 6*o + 15*o + 18*o as h + m*o**2 + k*o**3 + n*o + i*o**4 and give n.
11
Express 7*y + 0*y + y + (-2 + 3 - 2)*(y - y - y) + 203 + 23*y - 203 in the form d + i*y and give i.
32
Rearrange -422 + 217 + 13*v**2 + 2*v + 209 - 2*v to q*v**2 + m + a*v and give q.
13
Rearrange (-2*x + 1 - 1)*(757*x + 811*x - 1684*x) to d*x**2 + a*x + o and give d.
232
Rearrange 37*t**3 + 13 - 45*t**3 - 4 to the form d*t + q*t**2 + x*t**3 + p and give p.
9
Express 83 + 0*a**2 + 22 + a**2 - 46 in the form q*a + u + p*a**2 and give p.
1
Rearrange 90*a**3 - 177*a**3 - a - 2*a**2 + 102*a**3 to the form c*a**3 + n*a**2 + g*a + w and give g.
-1
Express (-12*a - 8*a - 5*a)*((-3 + 2 + 2)*(0*a - 2*a + 0*a) - 1 - a + 1 + (a + 2*a - a)*(7 - 2 - 2) - 2*a + 1 - 1) as b*a + l*a**2 + p and give l.
-25
Express 2 - 2 + 107*c - 91*c - 1 - 125*c in the form s*c + f and give f.
-1
Express -110*q**2 + 21*q**2 - 2*q + 89*q**2 - 2 + 411*q**3 as i*q**2 + d + h*q + k*q**3 and give h.
-2
Express -92 - 89 + 271 - 90 - 92*w**2 in the form h + q*w + b*w**2 and give b.
-92
Rearrange -7*n**2 + 20*n**2 - 12*n**2 - 12*n**2 - 1 + 2*n**4 to d*n**4 + u + c*n**2 + x*n + z*n**3 and give z.
0
Express (25 - 25 - 8*t**2)*((-4 + 0 + 2)*(-4*t + t + 5*t) + 3 - 3*t - 3 + t + 4 - 4 + 0*t - t + 3*t) in the form g*t + f + u*t**2 + n*t**3 and give n.
32
Express 1 - 51302*i + 51307*i - 1 - 200*i**2 as r*i + p*i**2 + h and give r.
5
Express h + 0*h - 257*h**2 + 20*h**2 - 2*h**3 in the form n + c*h + w*h**3 + q*h**2 and give c.
1
Express 67*u + 52*u - 173*u - 1 - 3*u + 1 - 2*u + 5*u - 4*u + (-u + 0*u - u)*(-1 + 5 - 2) + 5*u - u - 2*u in the form i + j*u and give j.
-60
Rearrange -q**2 + 58*q + 8*q**2 + 91*q - 3*q**2 - 8*q**2 to the form i*q + j*q**2 + b and give i.
149
Rearrange -14 + 10*l**4 + 16 - 89*l**4 - l**2 to a*l + j*l**4 + z*l**3 + t*l**2 + m and give a.
0
Rearrange (-18*m - 10*m - 4*m)*(-5 + 0 + 2*m + 3) to g + j*m**2 + v*m and give v.
64
Rearrange -35 + 139 + 13*s**3 - 31 - 37 + 9*s - 34 to o*s**3 + t*s**2 + q*s + p and give q.
9
Express (-2 + 2 + 2*s)*(2*s + 2 - 2) - 2*s**2 + 3*s**2 - 2*s**2 + 3*s**2 + 3*s**2 - 4*s**2 + (40*s + 33*s - 24*s)*(s - 2*s - s) as i*s**2 + p + a*s and give i.
-93
Rearrange 563 - 1106 + 563 - 4*r**2 to the form c*r + q*r**2 + z and give z.
20
Rearrange (2*y + 2*y - 3*y)*(-49 + 78 - 751*y - 28) to the form k + v*y + j*y**2 and give v.
1
Express -49*w**2 - 40935 + 40935 in the form j + p*w**2 + d*w and give p.
-49
Rearrange -327*w**2 - 366*w**2 + 965*w**2 to the form c*w + s + r*w**2 and give r.
272
Rearrange n + 0*n + n - 4 + 315*n + 14 - 318*n + (0*n - n + 0*n)*(5 - 2 - 1) + (-2 - 4 + 4)*(0*n - 3*n + 7*n) to p*n + d and give p.
-11
Express -15 + 18 - 3*c**3 - 16*c**2 + 21*c**2 in the form d*c**3 + z*c**2 + n*c + o and give d.
-3
Express -220*g + 48*g - 458*g + 2*g - 47*g in the form x + h*g and give x.
0
Rearrange (2*w**2 + 4*w**2 - 4*w**2)*(-144*w**2 - 151*w**2 + 330*w**2 + 6)*(1 + 4 - 6) to the form f*w**2 + i*w**3 + v*w**4 + h*w + c and give v.
-70
Express (2 - 5 - 4)*(4 + 0 - 2)*(m**2 - 22*m - 730 + 730) as o*m + v*m**2 + l and give v.
-14
Rearrange -24 + 3*g**2 + 0*g**2 - g - 46 - 5*g**4 + 4*g**4 to the form t*g**4 + c + u*g**3 + k*g + l*g**2 and give t.
-1
Rearrange (168*s + 81*s - 27*s - 3*s + 6*s - 2*s + (3 - 3 - 1)*(-s + 4*s - s))*(-2 + 2*s + 2) to b*s**2 + k + d*s and give b.
442
Rearrange (-n**3 + 4*n**3 - n**3)*(6*n - 6*n - 5*n) - 2*n**4 + 3*n**2 - 4*n**2 + 0*n**4 to d*n**2 + p*n**3 + t + h*n**4 + v*n and give h.
-12
Rearrange (3 - 2*x - 3)*(-182 + 73 - 248) to the form n*x + t and give n.
714
Rearrange 1495 - 1494 - 19*i - 14*i to p*i + y and give p.
-33
Express (m - 2*m**2 - m)*(-1720*m - 451*m + 813*m) as d*m + x*m**2 + s*m**3 + q and give s.
2716
Rearrange -46*l + 38*l + 72*l**2 + 10*l to the form u*l**2 + g + v*l and give v.
2
Express -187*x**2 + 2*x**3 - 37*x**2 - x**3 + 54*x**2 as j*x + r*x**3 + f*x**2 + l and give j.
0
Rearrange 4 + 435*d**2 - 1231*d**2 - 9 + 4 + d**4 to s*d + r*d**2 + x*d**3 + p + o*d**4 and give p.
-1
Rearrange 10082*s**2 - 5048*s**2 - 5047*s**2 + 24*s to m*s**2 + p + z*s and give z.
24
Rearrange u**2 - 9*u**2 - 3*u - 7*u**2 + 5*u**2 + 4*u**2 - 2*u**2 + (0*u + 0*u + u)*(4*u - 6*u + 3*u) to the form w*u**2 + g*u + j and give w.
-7
Rearrange 45*q**4 + 23 - 154*q**4 - 25 + (-q + 2*q**2 + q)*(2*q**2 + q - q) to the form c*q**3 + m*q**2 + f*q**4 + h + w*q and give f.
-105
Rearrange 0 - 212*l**3 + l - 39 + 213*l**3 - 15 to t + n*l**3 + m*l + i*l**2 and give m.
1
Rearrange -13*y + 9*y + 19*y**2 + 5*y**2 to d*y**2 + u + j*y and give j.
-4
Rearrange 11*v - 11*v + 48*v**3 + (-1 + 1 - 2* | {
"pile_set_name": "DM Mathematics"
} |
l) be the first derivative of -10*l**3/3 - 11*l**2 - 55. Let d(r) = -6*g(r) + 11*q(r). Let b(x) = -23*x**2. Determine d(b(f)).
2645*f**4
Let i(h) = -2*h**2. Let r(d) = -3*d + d - 5 - d + 6*d. Let m(u) = u + 5. Let l(q) = -2*m(q) - 2*r(q). Calculate l(i(t)).
16*t**2
Let j(y) = -5*y**2 + 2555003*y. Let f(k) = 4*k. Calculate j(f(w)).
-80*w**2 + 10220012*w
Let q = 290 - 286. Let o(p) = -5*p + q*p - 4*p + 10*p. Let g(w) = 11*w. Determine o(g(u)).
55*u
Let o(q) = -2*q**2. Let i(d) be the first derivative of 7/3*d**3 + 0*d + 167 + 8*d**2. What is i(o(j))?
28*j**4 - 32*j**2
Let v(j) = 2*j - 5*j - 76*j + 86*j. Let h(f) = -5*f**2 + 9*f. Give v(h(t)).
-35*t**2 + 63*t
Let s(v) = 0 - 6 - 9 + 5*v. Let x(i) be the second derivative of i**4/12 - 332*i + 8. Give x(s(u)).
25*u**2 - 150*u + 225
Let u(t) = 11*t - 4. Let k(v) be the third derivative of -3*v**4/8 - 2748*v**2. Determine k(u(f)).
-99*f + 36
Let i(y) = 2706319*y**2. Let u(j) = j**2. Determine u(i(w)).
7324162529761*w**4
Let d(r) = -12*r + 5. Let l(y) = -7*y + 3. Let g(c) = -3*d(c) + 5*l(c). Let v(h) = -292*h**2. What is g(v(j))?
-292*j**2
Let n(t) = -9*t + 15*t + 44*t. Let q(z) be the third derivative of -z**5/12 - z**2 - 5. What is n(q(i))?
-250*i**2
Let p(a) = a. Suppose j + j + 2 = -5*r, 0 = j - 5*r + 16. Let v be 83*(-3)/(-12) + j/8. Let t(l) = -8*l + 14*l + 1 - v - 5*l. Give t(p(g)).
g - 19
Let n(q) = -2*q. Let o(f) = 532*f - 49*f - 5 + 5 + 221*f. What is o(n(k))?
-1408*k
Let n(x) = 2*x - 5*x + 0*x. Let d(p) = -p. Let z(r) = 66*r. Let t(j) = 6*j. Let y(a) = -68*t(a) + 6*z(a). Let o(s) = -10*d(s) + y(s). Give o(n(l)).
6*l
Let p(h) = 12*h. Let a(o) = -18*o - 4. Let v(f) = 10*f + 2. Let t(d) = -5*a(d) - 10*v(d). What is p(t(w))?
-120*w
Let t(z) = -19*z. Let p(r) = -616483*r - 2. Give t(p(q)).
11713177*q + 38
Let v(t) = 2*t. Let y(b) = 587*b - 45608. Give v(y(f)).
1174*f - 91216
Let w(p) = 2*p. Let s be -1*(-15)/9*3/1. Let b(d) be the third derivative of -19/60*d**s + 0*d**4 + 0 - 4*d**2 + 0*d + 0*d**3. What is b(w(k))?
-76*k**2
Let n(t) be the second derivative of 3*t**4/2 - 5*t**3/6 + 29*t - 21. Let k(p) = 7*p**2. Determine n(k(y)).
882*y**4 - 35*y**2
Let o(l) be the second derivative of 0*l**2 - 11/6*l**3 - 10*l + 2. Let s(h) = -7*h. Determine o(s(w)).
77*w
Let c(r) = -83 - 80 - 103 + 266 - 288*r**2. Let g(z) = -7*z. Determine g(c(j)).
2016*j**2
Let o(g) = 2*g**2. Let b(n) = 3. Let z(k) be the first derivative of -k**2/2 - k + 19. Let r(i) = b(i) + 3*z(i). What is r(o(y))?
-6*y**2
Let n(x) = -3*x**2. Let j(d) = d**3 - 18*d**2 + 20*d - 3. Let o be j(17). Let i = -38 + o. Let f(h) = -2*h - i*h + 0*h + 5*h. Determine n(f(u)).
-147*u**2
Let y(h) = 5*h. Let g(d) = -379*d - 2043. Let z(l) = -152*l - 1022. Let j(p) = -2*g(p) + 5*z(p). Give j(y(x)).
-10*x - 1024
Let f(k) be the third derivative of k**6/90 + 11*k**4/12 - 2*k**2 - 26*k. Let d(j) be the second derivative of f(j). Let s(u) = 5*u**2. Give s(d(r)).
320*r**2
Let r(d) = 142*d - 3. Let a(j) = 10895*j. Calculate r(a(y)).
1547090*y - 3
Let a(h) = -4*h**2 + 5*h. Let r(f) = f**2 - 93. Let w(b) = -b**2 + 93. Let u(p) = 2*r(p) + 3*w(p). Let o(z) be the first derivative of u(z). What is o(a(d))?
8*d**2 - 10*d
Let o(w) be the first derivative of -3*w**2 + 48. Let c(j) = 1 - 19*j**2 - 1 + 11*j**2 + 9*j**2. Determine c(o(r)).
36*r**2
Let r(k) = k. Let s(x) = 74176524*x**2 - 3*x. What is r(s(h))?
74176524*h**2 - 3*h
Let x(g) be the second derivative of 5*g**4/4 + g**3/2 + 6585*g. Let t(u) be the first derivative of 0*u - 2/3*u**3 + 0*u**2 - 3. What is x(t(w))?
60*w**4 - 6*w**2
Let h(w) = -122*w**2. Let y(s) be the first derivative of s**4/6 + 21*s - 113. Let d(u) be the first derivative of y(u). Give d(h(i)).
29768*i**4
Let i(x) = 11*x**2. Let z = -306 + 316. Let a(y) = -2274*y - z*y**2 - 2273*y + 4547*y. Give i(a(v)).
1100*v**4
Let v(f) = -2*f**2 + 204*f - 701037. Let i(o) = -2*o**2. Determine v(i(t)).
-8*t**4 - 408*t**2 - 701037
Let y(r) = -11*r**2. Let t(i) = 765451*i**2. Determine y(t(x)).
-6445067567411*x**4
Let x(b) = 4*b**2 - 31*b. Let l(w) = w + 14. Let m(j) = -4*j - 77. Let h(z) = 22*l(z) + 4*m(z). Determine x(h(t)).
144*t**2 - 186*t
Let r(v) = -v**2. Let p(l) be the second derivative of -l**5/60 + 13*l**3/2 - 74*l**2 + 39*l. Let k(b) be the first derivative of p(b). Give k(r(o)).
-o**4 + 39
Let a(x) = 2*x - 51. Let m = 158 + -156. Let l(o) = -2*o**2 + 7*o**m - o**2 - 5*o**2. What is l(a(d))?
-4*d**2 + 204*d - 2601
Let n(i) be the second derivative of -7*i**4/6 - 3*i**3/2 - 11957*i. Let c(t) = 2*t. Let a(x) = -2*x. Let w(s) = -3*a(s) - 4*c(s). What is n(w(z))?
-56*z**2 + 18*z
Let r(u) = 49*u**2 + 15340. Let k(c) = 171*c. What is k(r(b))?
8379*b**2 + 2623140
Suppose -4*m + 31 = -i, -4*i + 18 = -4*m + 58. Suppose -3*k = m*k - 220. Let q(l) = k - 22 - 15*l + 18*l. Let s(a) = 5*a**2. Calculate q(s(p)).
15*p**2
Let y(x) = -45*x + 13420. Let o(b) = -5*b + 1464. Let v(h) = -55*o(h) + 6*y(h). Let a(r) be the second derivative of r**3/3 - r. Give a(v(s)).
10*s
Let o(g) = 8*g. Let a(k) = k**2 + 22*k - 6. Let d(r) = r - 1. Let z(c) = -a(c) + 6*d(c). Let q be z(-14). Let t(p) = -p**2 + 28 - q. Determine o(t(b)).
-8*b**2
Let t(r) = 663705*r**2 + 4*r. Let k(s) = 13*s. Give t(k(b)).
112166145*b**2 + 52*b
Let i(n) = 4*n**2 - 8*n - 4. Let u be i(-4). Let m(w) = 2 - 87*w + u*w - 5. Let c(h) = -h**2. Calculate m(c(k)).
-5*k**2 - 3
Let l(c) = 63*c**2 - 33*c - 198. Let r(t) = -2*t**2 + t + 6. Let n(b) = 2*l(b) + 66*r(b). Let j(w) = 106*w + 1. Calculate n(j(k)).
-67416*k**2 - 1272*k - 6
Let g(p) = 2*p. Let s(c) = -103284816*c**2. What is g(s(m))?
-206569632*m**2
Let q(w) = 477*w. Let z(v) = 5*v**2 + 10*v + 10. Let h(f) = f**2 + 5*f + 5. Let m(r) = 6*h(r) - 3*z(r). Determine m(q(k)).
-2047761*k**2
Suppose -f + 70 = -x, -4*f + 252 = -5*x + 8*x. Let t(r) = 12 + f*r - 12 + 58*r + 4*r. Let k(d) = 3*d. Calculate k(t(p)).
384*p
Let h(x) be the first derivative of -2*x**2 + 6456. Let z(w) = 30*w. What is z(h(y))?
-120*y
Let f(n) = 3*n. Let i(t) = 137*t**2 + 4*t - 20. Let q(r) = 136*r**2 + 3*r - 16. Let z(h) = 4*i(h) - 5*q(h). Give f(z(k)).
-396*k**2 + 3*k
Let n(w) = 3*w**2. Let j(b) = 552014*b + 6. Calculate j(n(o)).
1656042*o**2 + 6
Let s(q) = q + 6. Let y(z) = -2102*z**2 - 16*z - 1. Determine y(s(g)).
-2102*g**2 - 25240*g - 75769
Let c(j) = 171317777*j. Let b(q) = -6*q**2. What is c(b(t))?
-1027906662*t**2
Let i(f) = 2*f + 11955543. Let j(l) = l. Calculate j(i(x)).
2*x + 11955543
Let k(s) = -2*s. Let u(j) be the first derivative of 131*j**2/2 - 909. Calculate u(k(m)).
-262*m
Let a(q) = -2*q. Let l(u) = -1102*u - 15. Let y(r) = -543*r - 6. Let v(m) = 2*l(m) - 5*y(m). What is a(v(i))?
-1022*i
Let t(f) = -19621*f**2. Let q(z) = 2*z**2 + 14*z. Give q(t(i)).
769967282*i**4 - 274694*i**2
Let m(g) = 24*g. Let x(o) = -1027 - 322*o**2 - 1025 + 3077 - 1025. Give x(m(r)).
-185472*r**2
Let m(y) = -33593*y**2 + 11191*y**2 + 11200*y**2 + 11195*y**2. Let z(o) = 2*o - 82. Determine m(z(n)).
-28*n**2 + 2296*n - 47068
Let n(l) be the first derivative of 20 + 0*l - 1/2*l**2. Let x(s) be the first derivative of -5*s**2 + 14. Determine n(x(b)).
10*b
Let q = -7 - -10. Let z(x) = -5*x**2 + 0*x**2 + q*x**2. Let p(g) be the second derivative of -g**3/6 - g - 24. Calculate p(z(k)).
2*k**2
Let t(u) = -u. Let x(o) = -6*o. Let v = 10 + -11. Let r(a) = v*x(a) + 2*t(a). Let g(i) = 3*i**2. Calculate r(g(h)).
12*h**2
Let w(k) = -4300*k. Let g(z) = -z - 928. What is g(w(f))?
4300*f - 928
Let s(l) be the second derivative of 571*l**3 + 3429*l. Let d(r) = -2*r**2. Give d(s(x)).
-23474952*x**2
Let z(i) be the first derivative of -8381*i**2 - 936. Let a(p) = -2*p. Calculate z(a(w)).
33524*w
Let y(h) = 10063*h - 67567 + 67567 - 3536*h + 14155*h. Let o(l) = l. Give o(y(u)).
20682*u
Let j(c) = 4*c - 13. Let k(y) = -2*y + 6. Let u(b) = -6*j(b) - 13*k(b). Let g(q) = 74*q. Let n(x) = 325*x. Let l(h) = -26*g(h) + 6*n(h). What is u(l(s))?
52*s
Let r(h) = -59*h - 3. Let y(z) = 93*z + 510. Determine y(r(a)).
-5487*a + 231
Let c(n) = 2*n. Let p(q) = -355 - 198*q**2 - 12*q + 12*q + 355. What is c(p(w))?
-396*w**2
Let i(r) = 66*r**2 - 20*r**2 - 25*r**2 - 24*r**2. Let b(f) = f**2 - 81*f. Give b(i(j)).
9*j**4 + 243*j**2
Let k(s) = -40*s - 24. Let a(l) = 113*l + 68. Let q(o) = 6*a(o) + 17*k(o). Let g(v) = -v**2 - 13. Determi | {
"pile_set_name": "DM Mathematics"
} |
- 2*h = -4, -2*t = -4*h - 6186. Is t prime?
False
Suppose -36*i = -12416 - 229468. Is i prime?
True
Suppose 10*b = 13*b - 4431. Is b prime?
False
Let j(r) = -r**2 + 15*r + 12. Let k be j(15). Let q be ((-4)/3)/((-8)/k). Suppose 5*h - q*o = 233, -7*h + 230 = -2*h - 5*o. Is h a composite number?
False
Let m = 2046 - 581. Is m a composite number?
True
Let a = 10869 + -7480. Is a prime?
True
Let q be 3/(1*(-1)/(-11)). Let x = -18 + q. Is x prime?
False
Let a = 2999 + -1306. Is a composite?
False
Let f = -2241 + 18112. Is f prime?
False
Suppose -4*k + 12 = 2*k. Suppose -k*z + 4*z = 1262. Is z prime?
True
Suppose 6*x = 35275 + 24587. Is x composite?
True
Let m be 548844/30 - 1/(-5). Suppose v + 4*v = m. Is v a composite number?
False
Let j(s) = -34*s + 7. Let o(h) = -7*h**2 + 7*h + 2. Let b(g) = g**2 + g. Let x(c) = 6*b(c) + o(c). Let k be x(14). Is j(k) composite?
True
Let l be (4935/(-30))/((-1)/(-2)*-1). Let b = l - 142. Is b a prime number?
False
Let w(i) be the third derivative of i**4/24 + 2*i**3/3 + 2*i**2. Let p be w(-2). Suppose r + p*r + 4*s = 257, 5*r + 3*s = 421. Is r a composite number?
False
Let g(w) = w**3 - 6*w**2 - 15*w - 6. Let x be g(8). Suppose 4*h - 880 = -3*l, -l = 3*h - x*l - 647. Is h a composite number?
True
Let j = 47398 - 13167. Is j composite?
False
Suppose 5*p + 5*a = 42745, 25645 = -p + 4*p + 4*a. Is p a prime number?
False
Let m(j) = 3 - 6 + 5 + j - 3 + 13*j**2. Is m(4) prime?
True
Let p = -9 + 10. Let v(g) = 42*g**3 + g. Let h be v(p). Suppose u + h - 200 = 0. Is u a prime number?
True
Let l(f) be the first derivative of 2*f**3/3 - 6*f**2 + f - 7. Suppose -5*z - 2 - 21 = -4*r, 0 = 4*r + z - 53. Is l(r) a prime number?
False
Suppose 2*r - 5*r = -7389. Is r prime?
False
Is (-36)/(-8) + -4 + 150093/18 a prime number?
False
Let n be 1/((-28)/8 - -4). Suppose -n*d = d - 1005. Is d a composite number?
True
Let y = 3606 - 1565. Is y a prime number?
False
Let l(x) = 594*x - 7. Suppose -2*r + 21 - 11 = 0. Is l(r) composite?
False
Let k = 52 + -132. Let q = 16 - -101. Let b = q + k. Is b composite?
False
Suppose 5*c = u + 25, -5*u + u - 40 = -5*c. Let g = 6 + c. Is g a prime number?
False
Let j(u) = 29*u**3 + 3*u**2 + 7. Let t be j(-6). Let g = t - -8892. Is g a composite number?
True
Let v = -2 + 4. Suppose 0 = 12*t - 6*t - 49830. Suppose v*w - 7*w = -t. Is w prime?
False
Let i = -705 - -2528. Is i a composite number?
False
Suppose -5*j = -3*j - 18354. Suppose 2*u - 4*u - j = 5*t, -3*t - 5495 = 4*u. Let x = -1246 - t. Is x composite?
True
Suppose -12022 = -3*c - 14*r + 9*r, 4014 = c - 5*r. Is c composite?
True
Suppose -4*j = 5*g - 2297 - 6364, -4*g = j - 2179. Is j prime?
False
Suppose 9 = -2*g - 3*a, -2*a + 9 = 2*g - 5*a. Suppose g = -2*p + 5*p - v + 474, 4*v = 0. Let l = p - -276. Is l a composite number?
True
Let x be 2/(-2 + 400/195). Let s = 49 - x. Is s a prime number?
False
Is 21*(-4)/(-12) - -14334 prime?
True
Let p = 876 + -1348. Let o = p - -246. Let x = o + 381. Is x prime?
False
Is (11/(11/(-4401)) - 8)*-5 a composite number?
True
Suppose -w - 251581 = -5*l, 0 = w + 121 - 125. Is l a composite number?
True
Is (2 - 33/21) + 15968/14 composite?
True
Is (1/(-4))/(22/(-151624)) composite?
False
Is 911402/46 - 54/621 composite?
False
Let w(f) = -83*f - 6. Is w(-11) a composite number?
False
Let n = -55 + 52. Is (-2 + 1)*(n - 3542) a prime number?
False
Let g(a) = -a + 1. Suppose -2*k - f - 6 = 4, 4*f - 2 = -2*k. Let u be g(k). Is (u - 5)/(3/34) prime?
False
Suppose -q = 9 + 15. Let x = q + 101. Is x composite?
True
Let c(m) = 151*m**3 + 2*m**2 + m - 1. Let f be c(1). Suppose -4*w + 6257 + f = 2*s, 2*s - w - 6410 = 0. Is s prime?
False
Suppose -4*x + 18362 = -3*k, 5*k - 3*k - 9174 = -2*x. Is x a composite number?
True
Let s(d) = 34*d**2 - 22*d + 3. Is s(-7) prime?
True
Suppose 0 = 10*s - 49332 - 73798. Is s a composite number?
True
Let i(s) = 20*s**3 + s**2 + s + 1. Let t(c) = c**3 - 5*c**2 + 3*c + 6. Let p(o) = -o**3 + 6*o**2 + o - 2. Let q be p(6). Let l be t(q). Is i(l) composite?
False
Suppose j + 0*o + 3*o - 15 = 0, 7 = j + o. Suppose -2 = j*b + 1. Is 50 + (-3 - b)/2 prime?
False
Let s = -2655 + 6036. Is (s + 5)*(2 + 3/(-3)) prime?
False
Let v = -33 + 36. Suppose 0 = -2*g + v*w + 1010 - 384, -2*g - 4*w = -654. Is g prime?
False
Is ((-30)/30)/(3/(-7173)) composite?
True
Let k = 1 + 34. Let h be 1/(1/(-1)) + 4. Suppose 0 = 2*a + 2*g + 3 - k, -5*a + h*g = -120. Is a a composite number?
True
Let u(w) = 11*w**3 + 3*w**2 + 2*w + 1. Let d(h) = -h**2 + 3*h + 2. Let o be d(-1). Let s be u(o). Let r = s + 330. Is r prime?
True
Let h = -824 - -12783. Is h a prime number?
True
Let k = -23544 - -63125. Is k a prime number?
True
Suppose 2*d - 5 = 5*j, d = -4*j + j - 14. Let x(g) = -65*g + 12. Is x(d) composite?
False
Let u(m) = m**3 + 4*m**2 - 5*m + 8. Let p be u(7). Suppose -62*t + 63*t - p = 0. Let o = t + -175. Is o a composite number?
False
Suppose 2*v - 3*s = 4543, -7*v + 2259 = -6*v - 4*s. Is v prime?
False
Let h(l) = l**2 - 11*l + 6. Let p be h(10). Is (p - -1) + (-878)/(-2) + 7 composite?
False
Let g be (2/3)/((-8)/84). Is 8214/14 - 2/g prime?
True
Suppose -57*p + 53*p + 8812 = 0. Is p prime?
True
Suppose 156418 = 15*o - 20237. Is o a prime number?
True
Let g(u) = 598*u**2 + 9*u + 6. Is g(-3) prime?
False
Let f(q) = q**3 + 17*q**2 - 6*q + 1. Suppose 0 = 3*c - 7*c - 56. Is f(c) prime?
True
Let x(p) = -116*p**3 - 4*p**2 - 6*p - 21. Is x(-3) prime?
False
Let s(p) = 2*p**2 + 24*p + 35. Suppose -4*o = 3*h + 87, -3*h = -3*o + 2*o - 18. Is s(o) a prime number?
False
Is ((-45)/(-30))/(33885/11292 + -3) a composite number?
True
Suppose -5*j - 77212 = -2*v - 23250, 5*j = -2*v + 53922. Is v a prime number?
False
Let m be (-112)/(-12) - (-4)/6. Suppose m = 3*u - 5*l - 6, 2*u = 2*l + 16. Suppose -32 - u = -2*q. Is q composite?
True
Suppose 0 = -5*a - 5*h + 24315, -2*a - h = 5658 - 15382. Is a a prime number?
True
Let n(c) be the first derivative of 7 - 13*c + 5*c**2 + 22/3*c**3. Is n(6) a prime number?
True
Let h(s) be the second derivative of s**4/12 - 13*s**3/6 - s**2 - s. Let t be h(12). Is 44/6*(-147)/t a composite number?
True
Let m(q) = -3 + 2 + 34*q**2 + 2*q - 4. Is m(3) a composite number?
False
Suppose -1354 = 3*y + 4*x - 7781, -10725 = -5*y - 4*x. Is y a prime number?
False
Suppose -5*g + 4195 = -4*f, -23*g + 848 = -22*g + f. Is g prime?
False
Suppose 0 = 8*m - 12*m + 1492. Is m prime?
True
Let h(m) = 33*m - 6. Let q be h(6). Let u = q + -79. Is u prime?
True
Suppose h - 4*w = 1896, w + 2*w + 5670 = 3*h. Suppose -5*m = 5*o + 2330, 2*m - 2*o + h = -2*m. Is (2/(-5))/(2/m) prime?
False
Let l be (-90)/(-27)*(-12)/(-10). Suppose -t = -l*t - 3*n + 14190, 3*t - 14196 = -n. Is t composite?
False
Is ((-19927)/5 - (-66)/165)*-1 a prime number?
False
Let f be 0*((-3)/6 + 0). Suppose o + 286 = 5*o - 2*h, 4*h - 20 = f. Suppose -2*z + 96 = -o. Is z a composite number?
True
Let r(n) = 2*n**3 - 35*n**2 + 23*n + 77. Is r(25) a prime number?
False
Let q be (-6 - -2) + 1395 + (-1 - -3). Suppose -q = -8*y + 4183. Is y composite?
True
Suppose 4*s - 27638 = 2*b - 0*b, 5*b + 27629 = 4*s. Let h = -3126 + s. Is h composite?
True
Let m(o) = -2232*o - 4. Let a be m(-4). Suppose -3*l = -3*n - a - 346, -9278 = -3*l - 5*n. Is l a composite number?
True
Suppose -44*q + 278987 = -27*q. Is q composite?
False
Let z be 7/(-28) + (-185)/(-4). Suppose z = -0*m + m. Is m prime?
False
Suppose -3*n = 5*h - 22, -5*n - 5 = -h - 23. Suppose -2*q + 2540 = h*q. Suppose j + 4*j - q = 0. Is j a composite number?
False
Let n(c) be the second derivative of c**3/3 - 9*c**2 + 6*c. Let y be n(10). Is (-2)/(((-8)/42)/y) a prime number?
False
Let b(o) be the second derivative of 2231*o**5/20 - o**4/12 - o**3/6 + o**2 + 38*o. Is b(1) composite?
True
Let x = 9 - 6. Suppose 6*w = w + 20, -2*w = -x*c - 23. Is (129/c)/(3/(-15)) a composite number?
True
Is 141874/(-1)*110/(-220) a prime number?
True
Is 1/((-4)/(-1269)) + 12/(-48) composite?
False
Let h be ((-4)/(-6))/((-3)/(-36)). Suppose -h = -4*x + 4. Suppose 6*t - 237 = x*t. Is t composite?
False
Suppose -601 = -d + 2412. Is d composite?
True
Suppose 9*y + 46189 = -2699. Let k = y - -8635. Is k composite?
False
Suppose 5*x = q + 235451 + 195859, 5*x + 3*q = 431330. Is x composite?
False
Let z(t) = -33*t + 71. Is z(0) composi | {
"pile_set_name": "DM Mathematics"
} |
14 (b) -5 (c) -0.2 (d) -0.4 (e) -92 (f) -45/7 (g) 0.1
g
What is the third biggest value in 0.3, 1/6467, 93?
1/6467
Which is the fourth smallest value? (a) -2 (b) -0.2 (c) -52 (d) 4 (e) 3/35
e
Which is the third smallest value? (a) -109 (b) -37 (c) -0.1 (d) -4 (e) -2/7 (f) -30/29
d
What is the smallest value in -1/7, 0.12054, -4/3, 3/19?
-4/3
Which is the second smallest value? (a) -4/331 (b) 2/3 (c) -4 (d) 1.556
a
Which is the fourth biggest value? (a) -1 (b) -61 (c) 5 (d) -1.576
b
Which is the smallest value? (a) 42 (b) 4 (c) -0.03 (d) 1 (e) -2
e
What is the third smallest value in -0.2, 1.755, -2, 9, -75?
-0.2
What is the fifth biggest value in 1, -0.2, 1.1, -2, -32/9, -2.6?
-2.6
What is the second smallest value in 27/727, 0.2, -5, -2/15, -0.1, 43?
-2/15
What is the second biggest value in -0.3, -3/2, 1705503?
-0.3
Which is the smallest value? (a) 29/3 (b) 776778 (c) 5
c
What is the biggest value in -3/10, 6.7282, -22?
6.7282
What is the third biggest value in -2, -0.6, 0.1, 0.3, -0.3, 27, -1/3?
0.1
What is the third smallest value in -3, 1, 0.03, 0, 6277, 0.2?
0.03
What is the biggest value in -2, -7, 0.15867527?
0.15867527
What is the third smallest value in -64, 0.08, 2, 1, 216?
1
Which is the sixth smallest value? (a) 4/7 (b) 73 (c) 4 (d) -2 (e) 1/6 (f) -0.32
b
Which is the biggest value? (a) -2 (b) 2/15 (c) -4 (d) -1/5 (e) -600.4 (f) 3/7 (g) -4.3
f
What is the fourth biggest value in -2/13, 51/1654, -0.4, 0.3, -11?
-0.4
Which is the third smallest value? (a) 2 (b) -9/4 (c) -760 (d) 2/9 (e) 27
d
Which is the second biggest value? (a) -1860 (b) 0.1 (c) -1/4375
c
Which is the smallest value? (a) -14 (b) -0.1 (c) 0.7 (d) 2/3 (e) -0.03162
a
What is the biggest value in -0.5, -2, 1, 0.6509, -193?
1
What is the second biggest value in -0.2, -402, 4, -1/4, 1/4, -0.5, -32/9?
1/4
What is the smallest value in 0.1, 5, -4, 1.655, 10?
-4
Which is the second smallest value? (a) 46468 (b) 71.4 (c) -0.4
b
Which is the fourth smallest value? (a) -1/2 (b) 282 (c) 0.1 (d) 0 (e) -249 (f) -1
d
Which is the third biggest value? (a) 2 (b) -68 (c) 5 (d) -135050
b
What is the third biggest value in 6, 14, -79447?
-79447
What is the second smallest value in -91606, 13.7, 2?
2
Which is the fourth smallest value? (a) -1.3271 (b) 0.093 (c) -0.1 (d) 2
d
Which is the third biggest value? (a) 3.344 (b) 7 (c) -3/115 (d) -2 (e) -0.07
c
What is the second biggest value in 3/74, -0.0626, 15/2, -0.2, -4?
3/74
Which is the smallest value? (a) -8/3 (b) -0.5 (c) 1323 (d) -1.1
a
Which is the second smallest value? (a) -5 (b) 793.115 (c) 4 (d) -0.9
d
What is the fifth biggest value in 1/4, 0.3, -0.4, 1926, 24, 11?
1/4
What is the second biggest value in -73, -2749.4, 2?
-73
Which is the smallest value? (a) 4 (b) 2.7 (c) 18/1703
c
Which is the biggest value? (a) -0.5 (b) 3 (c) 1830 (d) -2 (e) 23
c
What is the sixth smallest value in 1/15, -0.4, -15, -2/15, -230, -1.7?
1/15
What is the biggest value in -15513, -4.1, 6?
6
What is the sixth smallest value in -1, 2, 1/2922501, 2/7, -2, -2/5?
2
What is the second biggest value in -82, 15, -2/17, -1, 5?
5
What is the second smallest value in 5, 6/41, -57, 2/15, -0.1, 1.1?
-0.1
What is the fifth biggest value in -1, 10, 20, -2, -0.196, 3?
-1
What is the third biggest value in 0.22, 2.3, -2/59, 8, -5?
0.22
Which is the biggest value? (a) -7 (b) 2/143 (c) -0.04 (d) -8/3 (e) -52
b
Which is the second biggest value? (a) 0.3 (b) 293.6335 (c) -1.6
a
Which is the second biggest value? (a) 0 (b) 14 (c) 7066093
b
What is the seventh smallest value in 1/3, -1, 22, 21/4, -5, -16, -2/7?
22
Which is the second biggest value? (a) -2/9 (b) -1 (c) 1/6 (d) 3.9 (e) 1370 (f) 3
d
Which is the fourth biggest value? (a) 527/3132 (b) 12 (c) -1/8 (d) -0.3
d
Which is the fourth biggest value? (a) 4/7 (b) 0.193 (c) 627 (d) 54
b
Which is the second biggest value? (a) 0.2 (b) -2/13 (c) -273 (d) 0.05 (e) 2
a
What is the second smallest value in 1, -88, -0.06, 0.1, -4, -146?
-88
Which is the second smallest value? (a) -80 (b) 4/7 (c) -658/3 (d) 3
a
What is the fourth smallest value in -6/11, 0.5, 3, -0.31, -1/6, -2, 2/3?
-1/6
What is the fourth smallest value in -821.1, 386, -0.06, -3/4?
386
What is the fourth biggest value in -2/77, 4/3, -4/3, 19, -1.2?
-1.2
Which is the second smallest value? (a) 1 (b) 2/7 (c) -4315422
b
Which is the second smallest value? (a) -23 (b) 0.1 (c) 4 (d) 0 (e) -0.5 (f) 51.771
e
Which is the smallest value? (a) 0 (b) 3/8 (c) -6/5 (d) -5951 (e) 5
d
Which is the second smallest value? (a) -22.255 (b) 40 (c) 110
b
What is the fifth smallest value in -0.4, 1.6, -5, -1/12, 7.78?
7.78
Which is the second biggest value? (a) -193 (b) -0.2 (c) -70 (d) 44
b
What is the fifth smallest value in -551, -4/5, 0, -206, 2/11, -1/4?
0
Which is the smallest value? (a) 3117 (b) 14 (c) -2 (d) -426 (e) 0.3
d
What is the second biggest value in -6/7, -312, -0.0199, -0.5, 0.5?
-0.0199
What is the third smallest value in -119/2, 2/9, 882?
882
Which is the fifth biggest value? (a) 1.3 (b) -9 (c) -487 (d) -0.2 (e) -2/15 (f) -2 (g) -6
g
Which is the third biggest value? (a) -11 (b) -2 (c) 3 (d) -0.5 (e) -34 (f) -9 (g) -2/5
d
Which is the third smallest value? (a) 0 (b) -4 (c) 0.1 (d) -5 (e) -5/4 (f) -1174.9
b
What is the biggest value in 0, -0.39, 10367?
10367
Which is the fourth biggest value? (a) -1 (b) -1/155 (c) -0.5 (d) 100.1 (e) -1/4
c
Which is the fifth biggest value? (a) 3 (b) 0.924 (c) 0 (d) -4 (e) -3/7 (f) 4/13 (g) -0.01
g
What is the second biggest value in 0.2, 32.47, 63144?
32.47
What is the smallest value in -3/4, 66367, 0.03, -2/17, 1/4?
-3/4
What is the second smallest value in -50/49, 1/4, 0.2, -69, 1, 2, 0.07?
-50/49
What is the smallest value in -465.953, 134, -1?
-465.953
What is the third biggest value in -0.5, 18448, 0.0102?
-0.5
What is the third smallest value in 2, -3, -53, 0.41, -2/5, -2/9?
-2/5
Which is the third smallest value? (a) 4 (b) 1/2 (c) -2 (d) 3 (e) -5 (f) -6/11
f
What is the fourth biggest value in -0.5, -32, 513.4, -5?
-32
Which is the third smallest value? (a) -2/13 (b) 10 (c) 92/789 (d) 54
b
Which is the sixth biggest value? (a) 4 (b) 1 (c) -43 (d) 7/4 (e) 2 (f) 0.4 (g) -85
c
Which is the smallest value? (a) 0.0092807 (b) -0.0393 (c) 6/7
b
What is the second smallest value in 0.5, -4/4895, -15/23?
-4/4895
Which is the fourth smallest value? (a) 0.4 (b) -5 (c) 22 (d) 3/5 (e) 2 (f) -2 (g) -803
a
What is the fifth smallest value in -0.8, -37, -2/3, -0.5, -49, 3, -2/5?
-0.5
What is the second smallest value in -0.7, 0, -49013?
-0.7
What is the fourth biggest value in -0.9, 2.547, -3, 1/12, 1, 0.5?
1/12
What is the sixth biggest value in -1/2, -4/7, 0.4, -10, -167, -6, 21/8?
-10
What is the third smallest value in 29.87, -585/4, -1/32?
29.87
What is the smallest value in -4, -2, -0.6, -4.46, 0.055?
-4.46
What is the fourth smallest value in -181, -0.2, 2/89, 0?
2/89
Which is the smallest value? (a) -654 (b) -5.76 (c) -4 (d) 5
a
What is the fourth biggest value in -111, 44, -1, 1, 0.4, 0.087?
0.087
What is the third biggest value in 5, -0.1, -1/2, 4, 0.02, -478, -112?
0.02
Which is the second smallest value? (a) -560 (b) 17/15 (c) 0.4 (d) 2
c
Which is the fourth biggest value? (a) 5 (b) 4/3 (c) -10/173 (d) 75/7 (e) -4 (f) 2/5
f
What is the biggest value in 67668.4, 0.2, -0.3?
67668.4
What is the biggest value in 16, -0.4, -4, 8476?
8476
What is the third smallest value in -5, 54, -1712127?
54
Which is the third smallest value? (a) 0.1 (b) -28/55 (c) -210 (d) -0.03
d
What is the second biggest value in 4, 3605/2, -0.1, -990?
4
What is the fourth biggest value in -4/9, -1/2, -4, -3, -0.1, 0.00035, 2/3?
-4/9
What is the second smallest value in 898, -87, 0.5, -5?
-5
Which is the third biggest value? (a) 308573 (b) 11 (c) -11 (d) 0.2
d
Which is the sixth biggest value? (a) -169 (b) 4 (c) -1/5 (d) 1/8 (e) -0.5 (f) -11
a
What is the fourth biggest value in -141458, 3, -2.4, -0.1?
-141458
Which is the biggest value? (a) -5 (b) 0.4 (c) -24 (d) 365 (e) -4
d
What is the smallest value in | {
"pile_set_name": "DM Mathematics"
} |
4/8 - m**3/6 - 2524*m**2. Let c(a) be the first derivative of a**2/2 - 1. Calculate 5*c(h) + u(h).
2*h - 1
Let c(m) = 6*m - 10. Let z(p) = 359 + 0*p - 5*p - 633 + 283. Determine 2*c(y) + 3*z(y).
-3*y + 7
Suppose m = 5*m + 368. Let q = m + 78. Let a(s) = -4*s + 4*s - 3*s + 2*s**2. Let l(n) = -10*n**2 + 14*n. Give q*a(x) - 3*l(x).
2*x**2
Let q(j) = -9*j**3 + 7*j**2 + 8*j + 141. Let f(u) = 17*u**3 - 15*u**2 - 17*u - 298. Give 6*f(p) + 13*q(p).
-15*p**3 + p**2 + 2*p + 45
Let g(c) = 4. Let o(h) = 3*h + 183. What is 2*g(u) + o(u)?
3*u + 191
Let g(f) = -10 + 12*f - 13*f + 4*f - 15*f - 7*f**2 + f. Let n(x) = 3*x**2 + 5*x + 5. Calculate 2*g(i) + 5*n(i).
i**2 + 3*i + 5
Suppose 0 = -5*y - 262 + 1157. Let q(w) = -175*w + 7 + 355*w - y*w. Let d(c) = -5*c - 36. Calculate 2*d(x) + 11*q(x).
x + 5
Let z(a) = -39*a**2 + 24*a - 24. Suppose 8*f - 26 = 7*f + 3*k, 5*k - 15 = -10*f. Let t(y) = 8*y**2 - 5*y + 5. Calculate f*z(o) + 24*t(o).
-3*o**2
Let h(r) = -4*r**3 - 4*r. Let o(u) be the first derivative of 23*u**4/4 + 23*u**2/2 - 950. Determine -34*h(k) - 6*o(k).
-2*k**3 - 2*k
Let y(m) = -16*m + 6. Let x(f) = -31*f + 12. Calculate -5*x(t) + 11*y(t).
-21*t + 6
Let h(g) = -4*g + 9*g**2 + g**2 + 2 + 2. Let q(n) = -19*n**2 + 7*n - 7. Let c = 124205 + -124201. Give c*q(p) + 7*h(p).
-6*p**2
Let s(k) = -13*k**2 - 13*k + 11. Let t = -2936 - -5873/2. Let d(z) be the second derivative of 0 - z + t*z**4 - 5/2*z**2 + z**3. Calculate -9*d(h) - 4*s(h).
-2*h**2 - 2*h + 1
Let r(c) = -23*c**3 + 9*c**2 + 9*c - 9. Let u(q) = q**2 - 2 + 2*q - 578*q**3 + q**2 + 572*q**3. Let p = 66 - 75. Calculate p*u(s) + 2*r(s).
8*s**3
Suppose 2 - 18 = 4*k. Let j(i) = 15*i - 21. Let d(o) = 19*o - 24. Let v(u) = -5*d(u) + 6*j(u). Let x(h) = h + 1. Give k*x(z) - v(z).
z + 2
Let x(a) = -7*a - 4. Let q = 6111 - 6110. Let b(o) = o + 1. Let j = 20 + -13. Suppose -n = 3, 0*n - 4*n = k + j. What is k*b(y) + q*x(y)?
-2*y + 1
Let d(p) = 8*p**2 - 8*p - 1. Let j(x) = -x**2 + x. Suppose -217*g + 215*g = 3*s - 6, 0 = -2*s + 5*g - 34. Determine s*d(v) - 18*j(v).
2*v**2 - 2*v + 2
Let f(n) = -15*n + 2262. Let b(w) = 23*w - 3396. Determine -5*b(c) - 8*f(c).
5*c - 1116
Let d(n) = -2*n**2 - 23*n + 134. Let m(c) = 4*c**2 + 40*c - 134. Determine -3*d(s) - 2*m(s).
-2*s**2 - 11*s - 134
Let h(r) = 465*r - 27. Let u(k) = -2*k - 3. Determine -2*h(w) + 18*u(w).
-966*w
Suppose 3*q + 3*v + 54 = 0, -5*q + 3*v - 14 = -4*q. Let s(n) = -68*n**3. Let l(j) = -23*j**3. Determine q*l(a) + 6*s(a).
-17*a**3
Let j(h) = 31*h - 9. Let g(l) = -16*l + 5. Suppose 0 = 2*k - 30*k + 168. What is k*j(p) + 11*g(p)?
10*p + 1
Let j(i) = -25*i**3 + 5*i**2 + 5*i + 4. Let z = 4445 + -4452. Let g(d) = 38*d**3 - 7*d**2 - 7*d - 6. What is z*j(w) - 5*g(w)?
-15*w**3 + 2
Let v(o) = -6 + 3 + 2. Let u(r) = 7*r + 7. Suppose 8*j - 38*j - 23*j = -371. Give j*v(m) + u(m).
7*m
Let a(p) = p + 1333 + 2*p**2 + 2*p - 1330 - 5*p**3 - 5*p**2. Let f(k) = -16*k + 5 + 15*k + 6*k - 5*k**2 - 9*k**3. Determine 5*a(b) - 3*f(b).
2*b**3
Let d(v) = -53*v**3 + 1 - 9*v**3 - 4*v**2 + 66*v**3. Let r(b) = 8*b**3 - 9*b**2 + 2. Determine -5*d(y) + 2*r(y).
-4*y**3 + 2*y**2 - 1
Let o(l) = -1286*l**3 + 96*l**2 - 2*l - 1. Let s(v) = 1287*v**3 - 144*v**2 + 3*v + 1. Determine -6*o(j) - 4*s(j).
2568*j**3 + 2
Let i(j) = -j**2 + 18*j - 66. Let b(h) = -55*h - 379. Let w be b(-7). Let u be i(w). Let c(s) = -14*s. Let f(l) = -7*l. Determine u*c(m) - 14*f(m).
14*m
Let v(a) = 137*a - 2739. Let j be v(20). Let x(p) = -p**2 + p - 1. Let g(u) = 2*u**2 - 6*u + 1. Determine j*g(s) + 3*x(s).
-s**2 - 3*s - 2
Let b(m) = m + 1. Let d(a) = -26*a + 3. Let v(f) = 341*f + 681. Let r be v(-2). Calculate r*d(s) + 4*b(s).
30*s + 1
Let z(u) be the third derivative of -u**4/24 + 11*u**3/6 - 500*u**2. Let j(f) = f - 12. What is 6*j(t) + 5*z(t)?
t - 17
Let a(w) = -2*w**3 + 1. Let q(k) be the second derivative of -k**4/24 + 19*k**3/6 + 69*k. Let n(t) be the second derivative of q(t). What is -a(d) - n(d)?
2*d**3
Let l(b) be the second derivative of -b**3/6 - b**2/2 - 5909*b - 2. Let v(y) = y**2 + 2*y + 2. What is 11*l(i) + 6*v(i)?
6*i**2 + i + 1
Suppose 3 = -39*n + 41*n - 3*z, 5*z - 39 = -4*n. Let c(y) = y + 1. Let u(i) = i**2 + 8*i + 6. Let x = 323 + -324. What is n*c(j) + x*u(j)?
-j**2 - 2*j
Let p(x) = -23*x**2 - 15. Let h(u) = 6*u**2 + 4. Suppose 2*t - 112 = -5*f, 0 = -4*f + t - 40 + 127. Calculate f*h(w) + 6*p(w).
-6*w**2 - 2
Let h(a) = -5*a - 4. Let z(d) = 24*d + 25*d - 1 + 19*d - 16*d - 53*d. Suppose -3*w - 3 = 0, w - 4*w - 13 = 5*y. What is y*z(f) + h(f)?
-3*f - 2
Let a(y) = 36*y - 1585. Let i be a(44). Let k(w) = -6*w + 5. Suppose -2*b + 0*b - 2 = 4*l, 3*b - l = -10. Let u(m) = m - 1. Calculate b*u(v) + i*k(v).
3*v - 2
Let o = 7983 + -7977. Let m(f) = -8*f**2 - 4*f - 5. Let d(b) = -15*b**2 - 7*b - 9. Calculate o*d(r) - 11*m(r).
-2*r**2 + 2*r + 1
Let w(n) = 7*n - 7. Let k(s) be the second derivative of 2*s**3/3 - 2*s**2 - s. Suppose -4*c - 2*b + 34 = 0, -35*c = -32*c + 2*b - 28. What is c*w(j) - 11*k(j)?
-2*j + 2
Let f(z) = z - 1. Let n be 1/(-7) + 1/7. Suppose n*u = u - 4*g + 20, -3*g = 5*u - 15. Suppose -43*q + 42*q + 6 = u. Let p(w) = -3*w + 6. Give q*f(a) + p(a).
3*a
Let i(l) = -26*l**2 - l + 79. Let q(m) = -18*m**2 - m + 52. What is 5*i(f) - 8*q(f)?
14*f**2 + 3*f - 21
Let w(b) = 1776*b**3 + 9*b**2 + 41*b. Let a(i) = 444*i**3 + 2*i**2 + 9*i. Determine 9*a(o) - 2*w(o).
444*o**3 - o
Let b(l) = -14*l**2 - 36*l + 70. Let o(j) = -6*j**2 - 16*j + 35. Calculate -4*b(i) + 9*o(i).
2*i**2 + 35
Let o(i) = 7*i - 3. Let z(u) = 6*u - 129. Let l(c) = -4*c + 103. Let f(t) = 5*l(t) + 4*z(t). Give 5*f(q) - 2*o(q).
6*q + 1
Let l(j) = -1. Let p(t) = 1 - 5 - 5 - t + 21 - 6. Give 4*l(w) + p(w).
-w + 2
Let p(d) = d**3 - 14*d**2 - 15*d - 2. Let k be p(15). Let r(q) = -150 + q**2 - q + 2*q + 149. Let o(s) = -4*s**2 - s + 1. Determine k*r(t) - o(t).
2*t**2 - t + 1
Let k(i) = i + 6*i - 15*i**3 - 7*i**2 - 45*i**3 - 1. Let l(t) = -20*t**3 - 2*t**2 + 2*t. What is -2*k(w) + 7*l(w)?
-20*w**3 + 2
Let z(x) = 6*x**2 + 5*x + 3. Let a(v) = 5*v**2 + 4*v + 2. Let g = -7 + 13. Suppose 0 = -2*s - g, 3*r + 9*s = 4*s. Determine r*a(k) - 4*z(k).
k**2 - 2
Let o(y) = -23*y**2. Let x(s) be the third derivative of 19*s**5/20 - 5*s**2 - 15. Determine -12*o(j) - 5*x(j).
-9*j**2
Let d(t) = 6*t. Let m(h) = -13*h - 1. Let w(b) = -7*d(b) - 3*m(b). Let x(a) be the second derivative of -a**2/2 + 3032*a. Give -w(u) - 3*x(u).
3*u
Let l(y) = y**2 + y + 2. Let z(o) = 92*o**2 - 11*o - 8. Calculate 3*l(x) + z(x).
95*x**2 - 8*x - 2
Let z be (175/28 - 7)/(6/32). Suppose 0 = -3*j + 4 + 5. Let s(w) = -w + 5. Let t(d) = -2*d + 6. Determine j*t(c) + z*s(c).
-2*c - 2
Let l(z) = 343*z**2 + 12*z + 5. Let s(g) = 2*g**2 + 3*g + 1. Determine -l(w) + 4*s(w).
-335*w**2 - 1
Let n(r) = -2*r**3 - 15*r**2 + 2*r - 4. Let l be ((-1 - -4) + 8 + 299/(-26))*4. Let t(p) = -p**3 - 7*p**2 + p - 2. Give l*n(d) + 5*t(d).
-d**3 - 5*d**2 + d - 2
Let c be 1*9 + 742/106. Let y(f) = 11*f + 6*f + 0 + 5 - 6 - c*f. Suppose s = 4*s - 4*q + 50, 4*s = 4*q - 72. Let b(t) = -13*t + 11. Calculate s*y(j) - 2*b(j).
4*j
Let f(u) = -5*u. Let w(x) = 2*x - 48 + x + 103 - 55. Let s(v) = -6*v + 16. Let l be s(3). What is l*f(t) - 5*w(t)?
-5*t
Let q(p) = 13*p. Let o(a) = 175*a + 1. Determine -5*o(f) + 35*q(f).
-420*f - 5
Let c be ((9/30)/(-3))/((-62)/(-620)). Let l(u) = -17*u**2 + u - 1. Let n(d) = -d + 1. Give c*l(r) - n(r).
17*r**2
Let o(b) = -b**3 + b + 1. Let m(j) = -12. Suppose 5*g + 47 - 57 = 0. What is g*o(q) - m(q)?
-2*q**3 + 2*q + 14
Let g(o) = -2*o - 3. Let b be 2/4 + (-3)/(-2). Let z(w) = -25. Suppose 0 = 15*q - 274 + 19. Let u(i) = -71. Let d(p) = q*z(p) - 6*u(p). Calculate b*d(x) + g(x).
-2*x - 1
Let b(j) = -114*j - 38. Let a(u) = -9*u - 3. Let d(k) = -50*a(k) + 4*b(k). Let l(m) = -11*m - 5. Give -7*d(i) + 3*l(i).
9*i - 1
Let v(d) = 2*d**3 - 6*d**2 - 5*d + 48. Let c(k) = 6*k**3 - 17*k**2 - 14*k + 141. Give -6*c(p) + 17*v(p).
-2*p**3 - p - 30
Suppose 0 = 168*o - 137*o + 403. Suppose 2*i + 5*s - 27 = 0, 2 = 2*i - 2*s - 4. Let h(d) = -7*d**2. Let z(m) = -3*m**2. Calculate i*h(b) + o*z(b).
-3*b**2
Let o(t) = -7*t**3 + 3*t**2 - 3*t - 1. Suppose -320*c + 2464 = -12*c. Let w(n) = -21*n**3 + 8*n**2 - 8*n - 2. What is c*o(u) - 3*w(u)?
7*u**3 - 2
Let l(g) = -767 + 334 - 8*g + 454. Let w(y) = -y + 1. What is l(m) - 6* | {
"pile_set_name": "DM Mathematics"
} |
ivide -1814 by 3.
-1814/3
Divide -37928 by -862.
44
-8228 divided by 34
-242
What is 4005517 divided by 5?
4005517/5
Calculate 0 divided by -140100.
0
Divide 21990 by 7.
21990/7
Calculate 207550 divided by 4.
103775/2
Calculate 2679600 divided by -6.
-446600
Divide -10866 by -10866.
1
19482 divided by 9741
2
What is 40262 divided by -20131?
-2
Calculate 0 divided by -21476.
0
Calculate 140452 divided by -1924.
-73
396 divided by -43
-396/43
327837 divided by -1
-327837
Calculate 15015 divided by -17.
-15015/17
-3190056 divided by 4
-797514
-9027 divided by 21
-3009/7
Calculate -5340260 divided by -2.
2670130
Divide 347475 by -13899.
-25
Divide -124 by 10.
-62/5
What is -16857 divided by 6?
-5619/2
What is -28 divided by -1553?
28/1553
What is 23 divided by 2554?
23/2554
Calculate -1431 divided by -44.
1431/44
What is -49206 divided by 10?
-24603/5
Divide -13013 by 13013.
-1
Calculate -39 divided by -6.
13/2
0 divided by 6065
0
Calculate -41755 divided by -1.
41755
What is -75530 divided by 2158?
-35
Divide -46 by -836.
23/418
Divide -882 by -534.
147/89
What is 72288 divided by -288?
-251
What is 23328 divided by 729?
32
-116996 divided by 6
-58498/3
What is 5763354 divided by 489?
11786
Calculate -132362 divided by 34.
-3893
Divide -648440 by 145.
-4472
Divide -481680 by -120420.
4
Calculate -4480 divided by 16.
-280
-198 divided by 3688
-99/1844
Calculate 254175 divided by -50835.
-5
What is -1 divided by 19330?
-1/19330
Calculate 157 divided by 1.
157
152 divided by -4149
-152/4149
-18674 divided by -12
9337/6
What is 5 divided by -18987?
-5/18987
What is -520 divided by 70?
-52/7
Calculate -12537 divided by 12.
-4179/4
Divide -284960 by 142480.
-2
Calculate 17 divided by -344304.
-17/344304
Calculate -2514 divided by -266.
1257/133
-22 divided by 2612
-11/1306
Divide -111190 by 2.
-55595
What is 182344 divided by 4?
45586
75864 divided by 4
18966
What is 1658390 divided by -866?
-1915
Calculate 2 divided by -833262.
-1/416631
Divide -2846659 by -1.
2846659
3808 divided by 8
476
Divide 1 by -185579.
-1/185579
Divide -13988 by -26.
538
Calculate 4 divided by -9358.
-2/4679
Divide 20108 by -11.
-1828
Divide -520701 by -14073.
37
Calculate 305508 divided by 10911.
28
0 divided by 21734
0
Divide -1033 by 1.
-1033
Calculate -3356 divided by 107.
-3356/107
Divide 5 by 261369.
5/261369
Calculate -549057 divided by -5.
549057/5
Calculate -88 divided by -1704.
11/213
21282 divided by -3
-7094
-1784328 divided by -114
15652
What is -152 divided by -40?
19/5
-24084 divided by 36
-669
-19443 divided by 2
-19443/2
-2956006 divided by 1478003
-2
What is 2 divided by -13686?
-1/6843
What is -23763 divided by 267?
-89
Divide 6004 by 1501.
4
Calculate 385 divided by -355.
-77/71
Calculate -79792 divided by 19948.
-4
Divide -435860 by 4.
-108965
759 divided by -106
-759/106
Calculate 1237496 divided by -618748.
-2
Calculate -344544 divided by -3.
114848
1097492 divided by 274373
4
Divide 144419 by -5.
-144419/5
2306 divided by 881
2306/881
1608880 divided by -22984
-70
Calculate -6938 divided by -23.
6938/23
14 divided by 41816
7/20908
What is 631 divided by -16?
-631/16
-15611 divided by -3
15611/3
Divide 109160 by -4.
-27290
Divide -264796 by 18914.
-14
Calculate 20 divided by 2425.
4/485
What is -53 divided by 36345?
-53/36345
Calculate 43806 divided by 5.
43806/5
Divide 1 by -1116427.
-1/1116427
Calculate 851 divided by 87.
851/87
885 divided by -5
-177
Calculate -5 divided by 15780.
-1/3156
What is -342000 divided by -85500?
4
What is -5 divided by 358751?
-5/358751
-1360680 divided by -4
340170
Calculate 6 divided by -987105.
-2/329035
What is -71 divided by -6?
71/6
What is 2 divided by 4182?
1/2091
-1 divided by 18570
-1/18570
Calculate 396762 divided by -3.
-132254
65023 divided by -49
-1327
Divide -18970 by 3.
-18970/3
Calculate 13500 divided by -2.
-6750
What is -74173 divided by -11?
6743
-1519455 divided by -87
17465
What is 120 divided by -19305?
-8/1287
231856 divided by -16
-14491
Calculate 157845 divided by 255.
619
Divide -58682 by -1586.
37
-8548 divided by 4274
-2
1509 divided by -8
-1509/8
3063 divided by 3
1021
Divide -53 by -2953.
53/2953
What is 42 divided by 1427?
42/1427
Calculate 27597 divided by -1.
-27597
-2937945 divided by -3
979315
-634095 divided by 211365
-3
1931868 divided by 6
321978
Divide 33008 by 70.
16504/35
Calculate 39147 divided by 1.
39147
Calculate 103054 divided by 2.
51527
3 divided by -66924
-1/22308
-18475 divided by -1
18475
-5 divided by -201261
5/201261
What is 458232 divided by 2?
229116
Calculate -132300 divided by -294.
450
31 divided by -8328
-31/8328
Divide -428550 by -2.
214275
Calculate 82044 divided by 6.
13674
Divide -23655 by -83.
285
Calculate -91330 divided by 2.
-45665
What is -96 divided by 16?
-6
0 divided by 905210
0
Divide -64168 by -3.
64168/3
Calculate -5 divided by -3368.
5/3368
Divide -2 by 911175.
-2/911175
Calculate -36013 divided by -17.
36013/17
Calculate 210 divided by -978.
-35/163
Divide -568575 by 1805.
-315
1031042 divided by -13933
-74
Calculate 12 divided by -5698.
-6/2849
-6888 divided by -12
574
What is 1067808 divided by -44492?
-24
Divide 88 by -2438.
-44/1219
Calculate 388975 divided by 77795.
5
Divide -735 by 751.
-735/751
What is -1 divided by 20406?
-1/20406
Divide 3 by -82778.
-3/82778
-405048 divided by -135016
3
Divide 2772 by -28.
-99
-2912 divided by -16
182
-540320 divided by -1228
440
Divide 121114 by -121114.
-1
Calculate -214449 divided by -7.
214449/7
Calculate 4 divided by -85481.
-4/85481
What is -115368 divided by 4807?
-24
What is -344 divided by -228?
86/57
Divide -131940 by 15.
-8796
Divide -1783754 by -206.
8659
Calculate -3795075 divided by 1265025.
-3
877 divided by -1241
-877/1241
4 divided by -70186
-2/35093
What is -256 divided by -1092?
64/273
Calculate 662476 divided by 165619.
4
Calculate 3604601 divided by 277.
13013
Divide -567 by -21.
27
What is 2930 divided by 147?
2930/147
What is 7 divided by 603?
7/603
-1 divided by 61141
-1/61141
165546 divided by 55182
3
-675824 divided by 1
-675824
What is -6240 divided by 8?
-780
Divide -18 by 18926.
-9/9463
Calculate 792056 divided by 1094.
724
Calculate 20 divided by -2567.
-20/2567
Divide -354432 by -71.
4992
Calculate -167824 divided by 5.
-167824/5
What is -221 divided by -898?
221/898
4926 divided by 104
2463/52
Divide 4057881 by 1352627.
3
Calculate -2311858 divided by 4.
-1155929/2
Calculate -5 divided by -29923.
5/29923
Calculate 194870 divided by -4.
-97435/2
What is -3614 divided by 13?
-278
Divide 25 by 12668.
25/12668
-2 divided by 178047
-2/178047
Divide 17 by 18079.
17/18079
What is -307589 divided by -3?
307589/3
Calculate -890905 divided by 5.
-178181
What is 96 divided by 187?
96/187
Divide 63216 by -3.
-21072
-6767052 divided by -3
2255684
Divide -12116 by 41.
-12116/41
121032 divided by -1
-121032
Calculate -3284352 divided by -3.
1094784
What is 2140104 divided by -23262?
-92
What is -27070 divided by 14?
-13535/7
Calculate 232978 divided by 5.
232978/5
What is -541898 divided by -6?
270949/3
Divide 46652 by 56.
11663/14
Divide 2875 by -23.
-125
Calculate 0 divided by -273969.
0
What is 10260 divided by 95?
108
Divide 328480 by 5.
65696
What is -64215 divided by -1427?
45
What is 2723214 divided by 209478?
13
Divide -37750 by -5.
7550
Divide -133155 by -5.
26631
Calculate -58541 divided by 5.
-58541/5
What is 9166 divided by -3?
-9166/3
Divide 33 by 4678.
33/4678
What is -47192 divided by -1?
47192
Calculate 67204 divided by 16801.
4
What is -10 divided by 12494?
-5/6247
Calculate 2 divided by 311940.
1/155970
-331208 divided by -152
2179
Divide -435892 by 1847.
-236
Divide -1402 by 701.
-2
What is -1298814 divided by -2?
649407
Calculate -4767532 divided by 1346.
-3542
Divide -36829 by -13.
2833
876 divided by -4
-219
Calculate 8 divided by 189193.
8/189193
What is -1754 divided by -1?
1754
Divide 441269 by 3.
441269/3
What is 19 divided by -5101?
-19/5101
Calculate 4 divided by -5815.
-4/5815
Divide -654 by -218.
3
Divide 7 by -26573.
-7/26573
Calculate -1094568 divided by 8.
-136821
Calculate 62 divided by 1849.
62/1849
Divide -12784 by 158.
-6392/79
-24882 divided by -20
12441/10
Calculate 2 divided by -700966.
-1/350483
Divide -11135 by -5.
2227
Divide 3 by 65463.
1/21 | {
"pile_set_name": "DM Mathematics"
} |
/10
Evaluate ((-4)/2)/((38092/1513)/214).
-17
Evaluate (4/(-10))/(13902/1181670).
-34
Evaluate (2/(-9))/((12/69)/((-1770)/(-210335))).
-1/93
What is (75/(-84))/5*(-44)/1650*15?
1/14
What is ((-276)/(-170016))/(5/20*4*(-1)/(-8))?
1/77
What is 5/20*2*(291/(-776))/(9/(-272))?
17/3
What is the value of ((-738)/(-1640))/((702/24)/13)?
1/5
What is the value of ((-6)/27)/2*225/(-10)*172/(-3225)?
-2/15
(138/92)/(((-2)/78)/(12/18))
-39
Calculate -126*-7*(304/168)/(-38).
-42
What is the value of ((1044/(-168))/(-9*11/132))/(10/140)?
116
What is the value of ((168/35)/(-3))/((-19)/((-1805)/247))?
-8/13
What is the value of 5/27*1*-5*(-20)/250?
2/27
Calculate 15/(40/((-2480)/93)).
-10
Calculate (-264)/572*1456/(-48).
14
What is the value of (-3)/((11/(-44))/((-6)/456))?
-3/19
Calculate 2*6/(-9)*567/32508*-1*2.
2/43
Calculate (7329/(-48860))/((-138)/(-280)).
-7/23
Evaluate (2/(-12))/((-935)/7854)*(-5)/(-1).
7
Evaluate (-13616)/(-1480)*(-2)/4.
-23/5
Calculate (12/22)/(((-56)/(-210))/((-15)/(450/(-44)))).
3
What is 6*36/(170856/(-14))?
-2/113
Evaluate 261*(-1)/(-6)*20/150*-5.
-29
((-136)/8)/(1564/(-7268))
79
Evaluate ((-131)/((-74277)/1386))/(2/9).
11
What is 245/(-42)*(-12)/28*52*6/(-60)?
-13
Calculate (402/1474)/(441/(-2541)).
-11/7
What is 3/4*((-21)/(-252)*36)/(-9)?
-1/4
Evaluate ((-53793)/278)/(171/(-38)).
43
What is ((8/(224/(-12)))/(114/(-11305)))/((-10)/(-20))?
85
What is ((-28)/56)/(((-6431)/(-13570))/(-109))?
115
Evaluate ((-195)/390)/((-82)/8).
2/41
Evaluate (2021/(-47))/215*65.
-13
Evaluate (50/(-1235)*2/5)/(97/(4462/92)).
-2/247
Calculate ((-318)/8268)/((-4)/(-26))*92/1.
-23
Calculate 140*(-117)/63882*9/5.
-6/13
Calculate (-86)/(-129)*15/2*84/140.
3
Evaluate 14/(-10)*(-1300)/65*(-1)/((-16)/28).
49
Evaluate (-13)/((40/(-200))/(14/5)*-14).
-13
Evaluate 6/(-32)*1300/(-585)*36/(-20).
-3/4
What is (113832/465)/(-204)*10/(-147)?
4/49
What is the value of (-95)/349125*-125*(2/3)/((-60)/(-27))?
1/98
What is the value of 9*2/20*((-840)/45)/(-14)?
6/5
What is ((13/((-364)/32))/1)/((-49)/(4116/(-360)))?
-4/15
Evaluate 7/(-4)*(-77)/((-34496)/128)*-78.
39
Evaluate -3*(-340)/(1632/96).
60
Calculate ((-1)/((-30)/10*3))/((-190)/(-45)).
1/38
(-82)/2*(-126)/(-126)
-41
(-64)/((-1024)/(-40))*(-14)/(-1)
-35
Evaluate (6/(-9))/(34*54/5508).
-2
What is (-248)/192*12*1/(-31)*44/(-14)?
-11/7
What is ((-1916)/142742)/((16/4)/4)?
-2/149
Evaluate ((-1)/(-114))/(5/25*100/(-240)).
-2/19
Evaluate (53159/(-212))/(-59)*(-48)/(-20)*245/21.
119
What is the value of -2*(16074/(-1539))/(8/(-18))?
-47
What is (-18)/(-338)*(-155480)/(-17940)?
6/13
What is ((-3)/((-6)/2))/((-101)/(-202))*(-37)/(-2)?
37
(880/165)/(8/(-4)*1)
-8/3
What is (2*1/(-7))/((-47)/6392*72/63)?
34
What is 256/384*((-18)/1)/((-8)/(-34))?
-51
Evaluate (60/4)/(10/(-8)*(-3498)/(-265)).
-10/11
Evaluate (((-145915)/110)/379)/(14/(-4)).
1
What is 46/6*3624060/(-731170)?
-38
What is ((49200/(-750))/(-164))/((-3)/((-255)/(-2)))?
-17
What is the value of 53/(11660/360)*(10/(-4))/(135/(-594))?
18
Evaluate (-3)/(9/(-4))*((-9991)/103)/(-776).
1/6
Calculate (1001/22)/((-143)/242).
-77
What is the value of ((-4)/(-11)*4301/782)/(1/3)?
6
(-27*(-164)/370845)/(2/1*2/10)
2/67
Calculate 2*2/(-12)*160524/(-588).
91
Evaluate (-9)/(-6)*-2*-13*(-4)/(-66)*55.
130
What is ((-69202)/59316)/((1*-2)/(-18))?
-21/2
(436/(-1526))/((-12)/(-105))*94/5
-47
What is the value of (-2)/((-18)/141)*(2496/(-260))/16?
-47/5
What is the value of (-32)/192*6/(-9)*(-264)/(-33)?
8/9
(((273/(-14))/13)/3)/((-61)/5490)
45
What is the value of (24211/(-341))/((((-6)/(-3))/8)/((-1)/4))?
71
Evaluate ((-3)/(-1))/(194/(-3783)*1/2).
-117
Evaluate (18/15)/((-131)/(972020/318)).
-28
Evaluate 1488/(-186)*(-6)/(-276).
-4/23
Evaluate 4*-24*189/1296.
-14
(3/((-7)/(-7)))/(27/(-639))*(-80)/(-40)
-142
Calculate ((-27)/(-270))/(43/(-258)).
-3/5
What is the value of (-4459910)/(-70980)*54/39?
87
Calculate (915/(-305))/((-12)/(-224)).
-56
Evaluate -208*(-48)/1560*((-75)/(-20))/1.
24
Evaluate 54/(-15)*85825/(-339867).
10/11
What is the value of (((-429)/(-13))/(-1))/(3/(-3))?
33
What is the value of 23376/7305*7/16?
7/5
What is the value of (-252)/(-954)*(-3)/(-6)*(-64)/(-448)*-5?
-5/53
Calculate (8595/(-191))/(-1*35).
9/7
Calculate (-3)/(-5)*-6*(-205)/1845*(-9)/2.
-9/5
What is (3/((6/8)/(-1)))/((1863/(-1539))/23)?
76
What is (-9)/(-12)*643356/(-7659)?
-63
What is (129395/7394)/(10/4)?
7
Calculate (190542/(-23096))/(6/(-1)).
11/8
What is the value of (1575/(-189))/(-25)*558/6?
31
Calculate (11*(-21)/462*(-190)/5)/1.
19
Evaluate 3840/(-480)*(-10)/(1*-2)*72/2448.
-20/17
Calculate ((-1)/(-11))/(21520/(-88770)).
-3/8
What is 40*75/400*4/12*32?
80
Calculate (428/(-2354))/(284/(-44)).
2/71
What is the value of 4/(4/(-1))*(-57)/(-285)*10?
-2
Calculate (-1)/(20/(-4690))*21/(3087/(-42)).
-67
What is 25/(-8)*15148/2705*2*1/1?
-35
Calculate ((2835/(-2550))/21*12/(-27)*-15)/(-1).
6/17
330/(-286)*13*1
-15
((-2466)/(-959))/((-117)/(-1456))
32
What is the value of (((-90)/75)/((-96)/(-36)))/((-3)/6)?
9/10
Calculate ((-21672)/315)/(-86)*(5/3)/(5/90).
24
Evaluate ((-37)/((-4218)/(-532)))/(-14).
1/3
((2/4)/((-10)/10))/(-33*153/(-594))
-1/17
What is ((-180)/(-10))/(((-1)/6)/(10*29/18270))?
-12/7
What is the value of (1804/(-209))/(5/((-190)/(-4)))?
-82
Calculate (-54)/(-120)*(6/(-6))/((-1)/(-12)).
-27/5
What is the value of (-608)/228*9/264?
-1/11
What is the value of -80*((-1064)/(-190))/(-28)?
16
Calculate (-136)/(204/(-6))*74*((-99)/(-18))/(-11).
-148
What is the value of (18080/1814780)/((-4)/22)?
-4/73
Evaluate 80/36*-28*(-495)/1540.
20
Evaluate ((-25)/(-15))/(395/(-11376)).
-48
What is (2035/11)/((-24)/(-12)*(390/12)/13)?
37
Evaluate -1*(0/(-2))/(-1)*46/92.
0
What is (-56*1*68/(-408))/((-3)/(-9))?
28
What is 45/12*(51/(-34))/(1*9/(-72))?
45
What is the value of 161*1605/7490*20/(-6)?
-115
Evaluate 8/(-6)*2*((-66)/(-330))/((-28)/(-7)).
-2/15
Calculate (5/(350/48))/((891/810)/(33/(-9))).
-16/7
What is -16*(82289/568)/61?
-38
Calculate (-20*50/2000)/(4/(-152)).
19
What is the value of ((-78)/10)/(-50*(-201)/1340*(-2)/20)?
52/5
What is the value of ((776/20370)/(2/(-6)))/(2/(-119))?
34/5
What is the value of ((-2775)/(-86025))/((-2)/(-6758))?
109
What is (((120/(-49))/5)/((-91)/(306397/74)))/(-2)?
-78/7
Calculate (948/(-1185))/((-20)/(-650)).
-26
What is ((21372/104)/(-411))/(((-1)/17)/1)?
17/2
What is the value of (((-18)/(-132))/(9/(-1)))/(((-264)/3)/1760)?
10/33
Calculate (-2*(-2)/(-8))/((-8899)/(-12944)).
-8/11
Calculate ((184/21)/(-23))/((-48)/28).
2/9
Evaluate -350*(-75)/56250*15/1015.
1/145
Evaluate (((-18)/(-315))/(-5*11/(-1155)))/(2/115).
69
Calculate (-181836)/50510*15/(-729).
2/27
What is (-52*(-47)/(-9776))/((1/120)/(-1))?
30
What is (-99)/(-22)*(38/209)/(4/176*2)?
18
((1*81/(-3))/((-18)/12))/((-8799)/(-838))
12/7
((-20)/3)/(((-32)/(-2))/(186/(-31)))*-26
-65
What is the value of (-4)/((16/((-512)/120))/(((-1548)/(-1248))/43))?
2/65
What is the value of (-13370)/(-3820)*((-40)/28)/(30/100)?
-50/3
((-2240)/5)/16*52/(-182)
8
Calculate -11*(-1)/(-11)*392/(-8)*1.
49
Evaluate ((-5)/8*5044/970)/(3/(-24)).
26
What is (-6)/(-6)*37/666*-16?
-8/9
(-30796)/46194*(-318)/8
53/2
What is the value of (290955/(-238))/489*(516/10)/(-1)?
129
What is the value of -2*49/42*((-17550)/175)/18?
13
((-38)/6)/(6916/(-63336))
58
Evaluate 5/(-30)*21*(-5)/(910/2288).
44
(3/3*-108)/((-22)/(-77)*-7)
54
Calculate (1250/(-225))/(12/15*525/1890).
-25
Evaluate 391/(539189/(-591))*7/(-9).
1/3
13727/(-318)*16/(-56)
37/3
Calculate ((9/84)/((-3060)/357))/(2/(-8)).
1/20
What is ((20/60)/((-70)/(-30)))/(5/((-35)/(-4)))?
1/4
Evaluate 2/(-170)*-6*13540/4062.
4/17
Calculate (1482/190)/(-13)*13/(1755/10).
-2/45
(3/((-9)/(-2)))/((-85)/153)
-6/5
Evaluate ((-6)/6)/((-21055)/88431).
21/5
(-24)/100*-35*(-4800)/1680
-24
What is the value of ((-17714)/(-11462))/((-16)/44)?
-17/4
Evaluate ((-2360)/708)/(-7*12/(-28)).
-10/9
Evaluate (9/6)/((-1)/(288/(-48))*(-18)/(-26)).
13
Evaluate ((-146)/2044*-126)/(1*4).
9/4
What is the value of (99/(-88))/((-108)/120*285/(-18))?
-3/38
(9600/3712*58)/((-6)/(-2)*1)
50
What is (1/2*3)/(6192/(-119712))?
-29
What is the value of (-45)/15*1/(-6)*(-4)/(-218)*-2?
-2/109
Evaluate (3/6)/((2/44)/(102/102)).
11
Evaluate 17/102*2/1*(-29)/(870/1935).
-43/2
What is ((-8)/72*16*2)/((-44)/396)?
32
Evaluate 174/8* | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of 1/2 - (-7)/((-56)/(-2932))?
367
Let c(l) = l**3 + 11*l**2 + 10*l - 1. What are the prime factors of c(-6)?
7, 17
Suppose -k + 0*k = -18. List the prime factors of k.
2, 3
Suppose 5*x - 49 = -i, 2*i - x = -3*x + 122. List the prime factors of i.
2
Let i be -6*(-2 - 15/(-6)). Let p be (i/(-2))/((-3)/(-72)). Suppose 2*c + 6 = y - 4, -4*y = -4*c - p. List the prime factors of y.
2
Suppose 11 = 4*k - 1. Let a = k + -1. Suppose 2*d + a*d = 44. What are the prime factors of d?
11
Let k = 37 + -24. What are the prime factors of k?
13
Suppose 3*y - 5*y = 0. Suppose 23 = 5*g + 4*m - 5*m, y = -2*g + 5*m. List the prime factors of g.
5
Let i(k) = -k**2 - 3*k + 5. Let t(r) = r**2 - 5*r - 1. Let d be t(6). Let u be i(d). Let a = -17 - u. List the prime factors of a.
2, 3
Suppose -2*r = r - 4*f - 104, 4*r = 3*f + 141. Let d = -17 + r. What are the prime factors of d?
19
Let u(j) be the third derivative of -j**6/120 + 2*j**5/15 - j**4/24 + 11*j**3/6 + 2*j**2. Let w be u(8). Suppose -7 - 2 = -w*n. List the prime factors of n.
3
Suppose 17 = 2*m - 169. List the prime factors of m.
3, 31
Let t = -10 + 10. Suppose -48 = -3*s - t*s. List the prime factors of s.
2
Suppose 3*m + g = 174, -5*m = -4*g + 3*g - 282. List the prime factors of m.
3, 19
Let z = 7 - 0. Let d(t) = -t**3 - 3. Let p be d(0). Let m = z + p. List the prime factors of m.
2
Suppose -8*m = -3*m - 200. Let b = m + 1. What are the prime factors of b?
41
Suppose -2*s - 1 = -5. List the prime factors of s.
2
Let r = 23 - 3. What are the prime factors of r?
2, 5
Suppose -5*c = 9*c - 4522. What are the prime factors of c?
17, 19
Suppose 0 = 5*z + 3*u - 7*u - 237, -2*z + 78 = 4*u. What are the prime factors of z?
3, 5
Suppose 3*m - 16 - 2 = 0. Let y = m + -3. Suppose 3*t = -n + 22, y*n = -2*n - 4*t + 55. What are the prime factors of n?
7
Let g = 310 + -153. What are the prime factors of g?
157
Let t = -4 + 7. Let b = -28 + 48. Suppose -t*a + 5*k + b = 0, -2*a = 3*k - 0*k - 45. List the prime factors of a.
3, 5
Let s(g) = g**2 + 4*g - 3. Suppose 10 = -4*z - 18. List the prime factors of s(z).
2, 3
Let j be (-3 - -1)/2*1. Let y(t) = t**2 - 11*t + 7. Let m be y(8). Let h = j - m. List the prime factors of h.
2
Let s(l) = -76*l**3 - l**2 - 2*l - 1. List the prime factors of s(-1).
2, 19
List the prime factors of (2 - (-30)/(-9))/(8/(-660)).
2, 5, 11
Let p = 0 - -1. Suppose 4*k - p = 15. What are the prime factors of k?
2
What are the prime factors of 134 - ((-2)/2 - (-4 - -2))?
7, 19
Suppose -4*r - l - 154 + 52 = 0, -5*r - 2*l - 126 = 0. Suppose -n = -4*n - 123. Let y = r - n. List the prime factors of y.
3, 5
What are the prime factors of 16/56 + -2 + 1275/21?
59
Let u(m) be the second derivative of -m**4/12 - 11*m**3/6 - 5*m**2 - 3*m. What are the prime factors of u(-8)?
2, 7
Let k be (4/(-3))/((-4)/(-30)). Let b be (-2)/(-5) - 796/k. Suppose -33 = 3*t + 5*x - b, 0 = -5*t - 2*x + 53. What are the prime factors of t?
3
Suppose -2*t - 4 = 5*a - 4*a, 3*a = -t + 3. Suppose -2*s + a = -6. What are the prime factors of s?
2
Suppose -2*b - 95 = -7*b. Let r = 36 - b. List the prime factors of r.
17
Let u(y) = y**2 + 6*y + 9. Let d be u(-6). Suppose -19 = -5*i + 6. Let m = i + d. What are the prime factors of m?
2, 7
Suppose -4*r + 2*y - 57 = -3*y, -3*y = 4*r + 81. Let v = r + 21. What are the prime factors of v?
3
Suppose 0 = -5*y + t - 21, 5*y + t + 15 = y. Let v be y/(-4*1/(-18)). List the prime factors of (-1 - -4)/(v/(-12)).
2
Let y(k) = -7*k - 3. List the prime factors of y(-17).
2, 29
Suppose -3*h + 86 = 4*l, -4*h + l + 91 = -h. What are the prime factors of h?
2, 3, 5
Let z be (10/15)/((-2)/3). Let v = -1 - z. Suppose 5*x + 0*x = -3*r + 54, 2*x + 2*r - 24 = v. What are the prime factors of x?
3
Let r be ((-12)/(-9) - 0)*3. Suppose -16 = r*u - 92. List the prime factors of u.
19
Let u = 69 - 9. List the prime factors of u.
2, 3, 5
Let f be (-10)/(-60) - 4174/(-12). Suppose 5*n + 113 = f. List the prime factors of n.
47
Let l(r) = r**3 + 7*r**2 - 15*r - 5. List the prime factors of l(-7).
2, 5
Suppose 4*v + 4*h - 1040 = 0, -2*v + 7*h - 2*h = -541. What are the prime factors of v?
263
Let b = -30 - -43. List the prime factors of b.
13
Suppose 0 = g + g + 16. Let s = g - -5. List the prime factors of -2 + s*(2 + -4).
2
Let l(m) = -15*m**3 + m**2 + m - 3. List the prime factors of l(-2).
7, 17
Let g be (-1)/(4 - 3) - -1. Suppose g = -w + 61 - 12. What are the prime factors of w?
7
Suppose 4*z - 1291 = 3*o, -z - 3*o + 304 = -0*o. What are the prime factors of z?
11, 29
Let i(a) = -3*a + 2. Let l(n) = -4*n + 1. Let o(g) = 3*i(g) - 2*l(g). List the prime factors of o(-9).
13
Let q(u) be the second derivative of 0 - u - 1/2*u**4 + 0*u**2 - 1/20*u**5 - u**3. What are the prime factors of q(-5)?
5
Let x(p) = p**3 - 6*p**2 + 5*p - 3. Let n be x(5). Let l be ((0 - -2) + -1)*n. Let g(d) = d**3 + 3*d**2 - 2*d - 4. What are the prime factors of g(l)?
2
Let c = 3 - 4. Let u(v) = -19*v**3. Let q be u(c). Suppose a = q - 7. What are the prime factors of a?
2, 3
Suppose -3*z - 215 = -c, c + 804 = 5*c + 2*z. List the prime factors of c.
7, 29
Suppose d + 0 + 2 = 0. Let n be (3/2)/(d/(-4)). Suppose -n*j - j + 16 = 0. List the prime factors of j.
2
Let z be (-1 + 3)/(1/2). Suppose -5*r = -r + 4. Let k = r + z. What are the prime factors of k?
3
Let h(j) = 145*j**2 - 1. List the prime factors of h(-1).
2, 3
Let l(z) = -2*z - 9. Let w be l(-7). Suppose 0 = w*t - 0*r - 4*r - 43, 4*r = 2*t - 10. What are the prime factors of t?
11
Let l = 14 + -10. Let m = l + -2. Suppose m*x + 10 = 2*k, 3*k - 29 = -0*x - 4*x. List the prime factors of k.
7
Let p = 51 + -10. What are the prime factors of p?
41
Suppose 0 = -7*s + 2*s + 250. What are the prime factors of s?
2, 5
Suppose -20 = -2*y - 3*y. Suppose -4*w - 2 = o, 7 = 4*o + 2*w + 1. Suppose -12 + y = -o*a. List the prime factors of a.
2
Let r(g) = -g**2 - 7*g - 4. List the prime factors of r(-6).
2
Let i(m) = 2*m**2 + 17*m + 49. List the prime factors of i(-19).
2, 7
List the prime factors of 2*62/4*(-2 + 6).
2, 31
Let y(f) = 10*f + 9. List the prime factors of y(3).
3, 13
Let k(f) = -5*f - 7. Let i(n) = 14*n + 20. Let g(h) = -3*i(h) - 8*k(h). Let y be g(-3). Suppose 2*b + 44 = 4*s, -b - 6 = y*b. What are the prime factors of s?
2, 5
Suppose -4 = -0*g - 2*g. Suppose -g*o - 140 = -7*o. List the prime factors of o.
2, 7
Let x = -10 + 12. Suppose -3*u = -a + 6*a - 12, -3*u = x*a - 12. Suppose -u*c - c = -10. List the prime factors of c.
2
Let v(z) = -z**2 - 8*z - 8. Let c be v(-6). Suppose -c*d = -2*o - 14, 0 = 3*o - 7 - 8. What are the prime factors of d?
2, 3
Let c = -2 - -10. Suppose 2*d - c = 26. What are the prime factors of d?
17
Suppose y - 17 = 5. What are the prime factors of y?
2, 11
Suppose -2*u + 255 = -d, 0 = -6*u + u + 2*d + 636. What are the prime factors of u?
2, 3, 7
Let m(y) = 28*y**3 + y - 2*y**2 + 4*y**2 + 11*y**3 - 55*y**3. Suppose -4*r + 5*u = -6, 3*u = 4*r - 0*r - 2. List the prime factors of m(r).
17
Let u = 0 - -19. List the prime factors of u.
19
Let b(u) = -28*u - 3. List the prime factors of b(-4).
109
Let m = 21 - -2. What are the prime factors of m?
23
Suppose 11 = -0*u - u - 4*f, 5*f = 4*u + 44. Let r = u + 19. List the prime factors of r.
2
Suppose -257 + 52 = -5*y. List the prime factors of y.
41
Let y(m) = 2*m**2 + 2*m - 42. What are the prime factors of y(-8)?
2, 5, 7
Let k = 1 + 136. List the prime factors of k.
137
Let v = 1 + -1. Suppose s + 3*s + 24 = v. Let w = s - -14. What are the prime factors of w?
2
Suppose 3*q = 19 - 310. Let j = -67 - q. List the prime factors of j.
2, 3, 5
Let o be (0 - -2)/(-3 - -2). List the prime factors of (18/4)/((-1)/o).
3
List the prime factors of ((-62)/4)/((-11)/22).
31
Suppose -4*s + s + 5 = 2*l, -s = 3*l + 3. Suppose o = 4, -o + 49 = -s*c - 2*c. Let x(q) = q**2 + 8*q + 8. List the prime factors of x(c).
17
Let d be (-3)/(-2)*-2 + 0. What are the prime factors of (0 - 11)/(d/3)?
11
Suppose 101 = 2*s - l, -253 = -5*s + 2*l - 0*l. What are the prime factors of s?
3, 17
Suppose 5*y + 56 = 451. Suppose -n + 47 = -y. What are the prime factors of ((-10)/30)/((-2)/n)?
3, 7
Let l = 98 - 35. List the prime factors of l.
3, 7
Let p = 164 - 111. List the prime factors of p.
53
Let n = -1 - -1. Suppose n | {
"pile_set_name": "DM Mathematics"
} |
r o.
9
Solve -5*q + 25 - 10 = 0 for q.
3
Solve -8*q = -22 + 46 for q.
-3
Solve -7*l = -84*l + 77 for l.
1
Solve -f - 7 + 8 = 0 for f.
1
Solve 14 - 2 = 6*j for j.
2
Solve -21*a = -27*a + 12 for a.
2
Solve 9 = 18*j - 9 for j.
1
Solve 54*n + 109 = -215 for n.
-6
Solve 0 = -3*p + 7*p - 12 for p.
3
Solve -226 = 26*l - 18 for l.
-8
Solve -713 = -2*u - 709 for u.
2
Solve -112 = 3*z - 94 for z.
-6
Solve -8*p = -5*p + 9 for p.
-3
Solve 7 = 4*m - 21 for m.
7
Solve 14 = -22*c + 36 for c.
1
Solve -5*t - 4 = 6 for t.
-2
Solve -63*c = -61*c + 6 for c.
-3
Solve -6 + 11 = -v for v.
-5
Solve -3 + 18 = -5*i for i.
-3
Solve 3*b - 3 = -12 for b.
-3
Solve -1 = -7*y + 6 for y.
1
Solve 19*r - 31 + 50 = 0 for r.
-1
Solve 122*q - 85*q = -259 for q.
-7
Solve 45 = -6*i + 15 for i.
-5
Solve 8*q - 195 = -187 for q.
1
Solve 0 = 474*t - 443*t + 217 for t.
-7
Solve 74 = 4*t - 41*t for t.
-2
Solve -18*x + 250 = 340 for x.
-5
Solve 0 = -13*b + 15*b + 6 for b.
-3
Solve -4*m + 5 = m for m.
1
Solve 3*g + 16*g + 95 = 0 for g.
-5
Solve 27 = 8*h + 3 for h.
3
Solve 0 = 5*b - 69 + 49 for b.
4
Solve 0 = -27*j - 27 - 0 for j.
-1
Solve 0 = -13*f + 156*f - 1573 for f.
11
Solve 0 = -92*j + 80*j - 12 for j.
-1
Solve 17 = 2*d + 11 for d.
3
Solve -27*b + 41*b - 70 = 0 for b.
5
Solve -25 = -u - 24 for u.
1
Solve -2*l = 2*l + 16 for l.
-4
Solve 46*l - 15 = 43*l for l.
5
Solve -182 = -3*r - 23*r for r.
7
Solve 42 + 22 = -16*r for r.
-4
Solve -258 = -5*b - 253 for b.
1
Solve 131 + 223 = -59*o for o.
-6
Solve -24*n = 79 + 17 for n.
-4
Solve -9*f = -f for f.
0
Solve 24*n = 15*n for n.
0
Solve 2*d + 7 = 11 for d.
2
Solve 0 = -3*p + 5 - 8 for p.
-1
Solve 2305 = -8*c + 2329 for c.
3
Solve -2477*n = -2486*n + 45 for n.
5
Solve 13*x - 41 = -158 for x.
-9
Solve -13*d - 20 = -8*d for d.
-4
Solve 18 + 69 = 29*a for a.
3
Solve 1963*s - 72 = 1955*s for s.
9
Solve -8*y = -14*y for y.
0
Solve -7*a - 6402 = -6451 for a.
7
Solve -j - 3*j + 16 = 0 for j.
4
Solve 17*m = m - 16 for m.
-1
Solve -7*p + 8 = -20 for p.
4
Solve -6*g + 12 = -3*g for g.
4
Solve a + 4*a = 10 for a.
2
Solve 0 = h - 6*h - 20 for h.
-4
Solve 57*h - 24*h - 66 = 0 for h.
2
Solve -25*o = -14*o for o.
0
Solve 721*q = 725*q + 44 for q.
-11
Solve -15*u = -11*u + 8 for u.
-2
Solve -15*c - 227 + 152 = 0 for c.
-5
Solve 59*o + 99 = 689 for o.
10
Solve 3 = -139*t + 136*t for t.
-1
Solve 2*g = 4*g - 10 for g.
5
Solve -4 = -9*z + 11*z for z.
-2
Solve -7*k - 3 = -10*k for k.
1
Solve d - 422 = -420 for d.
2
Solve 72 = 900*c - 891*c for c.
8
Solve 0 = -11*s + 8*s for s.
0
Solve 3*n + 2*n = -0*n for n.
0
Solve 0 = 25*d - 5*d + 80 for d.
-4
Solve 17*k + 27 = 8*k for k.
-3
Solve 31*j - 17*j - 56 = 0 for j.
4
Solve -d = 62 - 62 for d.
0
Solve -23*t - 6*t - 116 = 0 for t.
-4
Solve 4*l - 32 + 12 = 0 for l.
5
Solve -1172*m = -1166*m + 24 for m.
-4
Solve 4 - 1 = 3*c for c.
1
Solve 4*z + 15 = -1 for z.
-4
Solve -2*k - 10 = 3*k for k.
-2
Solve 51 = 7*l + 51 for l.
0
Solve 7*o - 22 = -57 for o.
-5
Solve j + j - 6 = 0 for j.
3
Solve -42*v + 53 = 347 for v.
-7
Solve -8*n + 11 = -19*n for n.
-1
Solve -241 + 249 = -2*c for c.
-4
Solve -8*g = -52 + 12 for g.
5
Solve 67*i + 12 = 61*i for i.
-2
Solve -5*a = 19*a + 48 for a.
-2
Solve -121 = 14*u - 65 for u.
-4
Solve 204 = 16*x + 18*x for x.
6
Solve 3*z + 3*z = -18 for z.
-3
Solve -3*k - 81 = -66 for k.
-5
Solve -23*d + 126 = 11 for d.
5
Solve -2*x = 14 - 4 for x.
-5
Solve -1322*i - 80 = -1332*i for i.
8
Solve -21*r = 37*r + 290 for r.
-5
Solve -110*w - 536 = 234 for w.
-7
Solve 4*l + 20 = 32 for l.
3
Solve 18*g + 1 = 17*g for g.
-1
Solve 0 = -95*y + 93*y - 8 for y.
-4
Solve 68 = 12*f - 28 for f.
8
Solve 76*s - 77*s - 3 = 0 for s.
-3
Solve -56*i - 81*i - 959 = 0 for i.
-7
Solve -3*t - 109 = -88 for t.
-7
Solve 11*o - 10 = 6*o for o.
2
Solve -10*s - 534 + 484 = 0 for s.
-5
Solve 11*f + 86*f - 679 = 0 for f.
7
Solve 25 = 22*p - 129 for p.
7
Solve 0 = 1770*c - 1767*c + 24 for c.
-8
Solve 27*f - 32*f = -25 for f.
5
Solve 10*p + 39 = -1 for p.
-4
Solve 0 = f + 2*f + 6 for f.
-2
Solve 11*k - 8 = 3*k for k.
1
Solve 0 = 233*s - 232*s + 3 for s.
-3
Solve 12*z = -8*z - z for z.
0
Solve 172 = g + 166 for g.
6
Solve 8*i + 1591 = 1639 for i.
6
Solve -16*k - 57 = 7 for k.
-4
Solve -17*p + 0*p - 17 = 0 for p.
-1
Solve 0 = -48*w + 6*w + 168 for w.
4
Solve 24 - 36 = -3*h for h.
4
Solve -1210*l = -1211*l - 6 for l.
-6
Solve 8*l - 3*l + 20 = 0 for l.
-4
Solve 15*l + 306 = 201 for l.
-7
Solve -15*m = 27*m + 32*m for m.
0
Solve 5*n + 6 = -9 for n.
-3
Solve 0 = 6*p - 4*p for p.
0
Solve -4*u + 6 = 2*u for u.
1
Solve -9 = -4*h - 21 for h.
-3
Solve 716*l = 704*l - 72 for l.
-6
Solve -112 - 89 = 67*t for t.
-3
Solve -1 - 1 = b for b.
-2
Solve -13*v + 4*v = -3*v for v.
0
Solve -10 = 282*o - 280*o for o.
-5
Solve -12*w = 5*w + 153 for w.
-9
Solve 12*h - 12 = 6*h for h.
2
Solve -77 = -606*o + 617*o for o.
-7
Solve 14*y = 4*y for y.
0
Solve -45*b = -52*b + 35 for b.
5
Solve -7*w - 8*w = -60*w for w.
0
Solve 8*n - 32 = -48 for n.
-2
Solve -d = -384 + 390 for d.
-6
Solve 16*c - 4 + 20 = 0 for c.
-1
Solve 2*p = -0 - 8 for p.
-4
Solve 169*v - 164*v = 30 for v.
6
Solve 15*v + 16 = 1 for v.
-1
Solve -553*t - 8 = -555*t for t.
4
Solve -4 = -7*w - 4 for w.
0
Solve -4 = -8*z + 12 for z.
2
Solve 6*g + 9 = 27 for g.
3
Solve 0 = -101*p + 113*p for p.
0
Solve -80 = 4*y - 88 for y.
2
Solve 0 = 6*o - 6 + 30 for o.
-4
Solve 3*g - 1543 + 1513 = 0 for g.
10
Solve 4*z - 126 = -17*z for z.
6
Solve 0 = -0*i + 5*i + 20 for i.
-4
Solve 4 - 10 = -3*k for k.
2
Solve -144 = 8*f - 176 for f.
4
Solve -28*f = 37*f - 455 for f.
7
Solve 0 = 18*s - 20*s - 8 for s.
-4
Solve 16*d = -4*d - 20 for d.
-1
Solve -37*f = -157 + 231 for f.
-2
Solve 133*y - 14 = 126*y for y.
2
Solve 216 = -146*v + 110*v for v.
-6
Solve -403*s = -404*s - 2 for s.
-2
Solve -11*i = -16*i + 25 for i.
5
Solve 48*c - 68 = 172 for c.
5
Solve -1 = u + 1 for u.
-2
Solve 12 = 9*o - 6 for o.
2
Solve -80 = -5350*n + 5342*n for n.
10
Solve -128*h = -39*h for h.
0
Solve 0 = 17*u - 19*u + 4 for u.
2
Solve 9*g = 7 + 2 for g.
1
Solve 4*v = 59 - 87 for v.
-7
Solve 0 = 23*k - 16 + 154 for k.
-6
Solve 4*f - 8 = 2*f for f.
4
Solve -7*y = -4*y + 9 for y.
-3
Solve 16 = -7920*p + 7922*p for p.
8
Solve 235*p + 4 = 236*p for p.
4
Solve 19*l = -13*l + 4*l for l.
0
Solve 13*u + 15 = -11 for u.
-2
Solve -3*o + 8*o = 0 for o.
0
Solve -86*b = -70*b - 48 for b.
3
Solve 0 = 3*f - 35 + 44 for f.
-3
Solve -68 + 122 = -9*b for b.
-6
Solve 15 = 3*a - 0 for a.
5
Solve 9*a - 18 = -0*a for a.
2
Solve 180 = 23*f + 42 for f.
6
Solve -20*h + 15*h = 5 for h.
-1
Solve 21 = 15*a + 66 for a.
-3
Solve -44*v - 175 = -9*v for v.
-5
Solve 0 = 9*q + 20*q + 29 for q.
-1
Solve 4*h + 2 = 14 for h.
3
Solve -19*u + 10 = -9 for u.
1
Solve -8*k = -19 - 21 for k.
5
Solve 0 = 6*l - 7*l + 4 for l.
4
Solve -3*k - 11 = -14 for k.
1
Solve 0*h + 3*h + 12 = 0 for h.
-4
Solve -22*y + 35 - 145 = 0 for y.
-5
Solve 191 = -65*p - 134 for p.
-5
Solve -59*t + 15*t - 264 = 0 for t.
-6
Solve 7*r = 22 - 8 for r.
2
Solve -18*q + 151 = 79 for q.
4
Solve 2*h = 17*h + 75 for h.
-5
Solve 5 - 7 = 2*s for s.
-1
Solve -27*u + 65 = -14*u for u.
5
Solve 340 = 31*c + 54*c for c.
4
Solve -6 = 30*p - 27*p for p.
-2
Solve -2377*f + 2380*f = -12 for f.
-4
Solve c + 44 = 35 for c.
-9
Solve 166 - 6 = 32*o for o.
5
Solve 0 = 17*r + 47*r for r.
0
Solve -c + 4 = 6 for c.
-2
Solve 5*i - 140 = -23*i for i.
5
Solve -12*i = 7*i + 95 for i.
-5
Solve 8*j = 24*j + 48 for j.
-3
Solve -10*x + 8 = 68 for x.
-6
Solve 4*f - 36 = -20 for f.
4
Solve 24*z + 38 = -58 for z.
-4
Solve 0 = 8*o - 12*o + 8 for o.
2
Solve 9*s = -2*s - 55 for s.
-5
Solve -49*l = -152*l + 824 for l.
8
Solve -181 = 9*d - 199 for d.
2
Solve -9*j + 51 = 42 for j.
1
Solve 55 = -z + 56 for z.
1
Solve 22 = 31*c + 22 for c.
0
Solve 60 = -1076*n + 1066*n for n.
-6
Solve 48*m = 18*m - 30 for m.
-1
Solve 5 + 2 = -7*m for m.
-1
Solve -17*y = -46 - 22 for y.
4
Solve 43 = -8*d + 59 for d.
2
Solve 28 = -m + 33 for m.
5
Solve 684*l = 674*l for l.
0
Solve -25*c = -6*c - 19 for c.
1
Solve 5*v - 4*v - 1 = 0 for v.
1
Solve 9*w - 4336 + 4282 = 0 for w.
6
Solve 228*w + 18 = 234*w for w.
3
Solve -a + 4*a = 2*a for a.
0
Solve 41*l - 20 = 51*l for l.
-2
Solve 35*j - 23*j - 36 = 0 for j.
3
Solve m - 35 = -6*m for m.
5
Solve -10*x - 48 = 2*x for x.
-4
Solve -x + 37 = 36 | {
"pile_set_name": "DM Mathematics"
} |
, -2, 0, 3, 196021
Put 0.2, -2, -11/5, -0.15, 5/8, 3 in decreasing order.
3, 5/8, 0.2, -0.15, -2, -11/5
Sort 730, 0, 7776 in decreasing order.
7776, 730, 0
Sort -28, -23, -21, 3 in descending order.
3, -21, -23, -28
Put 3, -4, -1080, 0, 2, -1204 in decreasing order.
3, 2, 0, -4, -1080, -1204
Put -24, 1/2, -3, 2/8977 in descending order.
1/2, 2/8977, -3, -24
Sort 46, 292, 6, -1 in increasing order.
-1, 6, 46, 292
Sort 11, -5, -2, -1000, 2, -1 in descending order.
11, 2, -1, -2, -5, -1000
Sort 0, -3, 5, -202, 1503 in decreasing order.
1503, 5, 0, -3, -202
Sort -161, -24, -4, 4, 12, 3, -3.
-161, -24, -4, -3, 3, 4, 12
Sort 1, 494, -1, 16, 4, -1/2, 2 in ascending order.
-1, -1/2, 1, 2, 4, 16, 494
Sort -5, -0.097, -4916, 1/4, -3.
-4916, -5, -3, -0.097, 1/4
Sort 10, -2, 8273, 12 in increasing order.
-2, 10, 12, 8273
Sort 134, -149, 5, -14, -18 in decreasing order.
134, 5, -14, -18, -149
Sort 4, -35, -0.5, 12, 5, -1.
-35, -1, -0.5, 4, 5, 12
Put 2, 809, -10209 in increasing order.
-10209, 2, 809
Sort -1/25, 400, 64, 2 in decreasing order.
400, 64, 2, -1/25
Sort -3042.1, 5, 1/5 in decreasing order.
5, 1/5, -3042.1
Sort -120316/3, -1, -5 in ascending order.
-120316/3, -5, -1
Put -5, 8, -3314, -99 in descending order.
8, -5, -99, -3314
Sort 1035268, 4, -0.3, 0.1, 1/4.
-0.3, 0.1, 1/4, 4, 1035268
Sort 37614, 28, 3 in decreasing order.
37614, 28, 3
Sort -99151/6, -0.1, -5.
-99151/6, -5, -0.1
Put 1, 64, -9, -14, 32 in descending order.
64, 32, 1, -9, -14
Put -1, -2/730413, 4, 20 in descending order.
20, 4, -2/730413, -1
Sort 28, -3, 0.08, -123/8 in decreasing order.
28, 0.08, -3, -123/8
Put -5, 13031, 12, 2, -1 in ascending order.
-5, -1, 2, 12, 13031
Sort 3, -56, -1, 1744/9 in decreasing order.
1744/9, 3, -1, -56
Put 4/9, -2, 125, -2/51, -0.13, 3 in descending order.
125, 3, 4/9, -2/51, -0.13, -2
Sort 22, -3, 4, 9, -7, -4, -120.
-120, -7, -4, -3, 4, 9, 22
Sort 24, 0.302, -4.933, 5, 1.
-4.933, 0.302, 1, 5, 24
Sort 1342, -416, 133 in increasing order.
-416, 133, 1342
Sort -3, 37, 5, 67, 25, -1 in decreasing order.
67, 37, 25, 5, -1, -3
Sort 50, -3, -7, -12, 3, 5 in decreasing order.
50, 5, 3, -3, -7, -12
Sort -4, 2, 34.39795 in increasing order.
-4, 2, 34.39795
Sort 58, 5750, 5, 0, 2, 1 in descending order.
5750, 58, 5, 2, 1, 0
Sort 63, -7, 4, 3, -2, 38, -9 in increasing order.
-9, -7, -2, 3, 4, 38, 63
Sort 25, 0.131921, 0.2, -0.4.
-0.4, 0.131921, 0.2, 25
Put -5, 44, 15357 in descending order.
15357, 44, -5
Put 125, -5, -4, 1327, 1, 2, 5 in decreasing order.
1327, 125, 5, 2, 1, -4, -5
Sort 1, -5, 3, 2, -538, -1, -205.
-538, -205, -5, -1, 1, 2, 3
Sort 4, 0, -4, 413, 71, 2 in increasing order.
-4, 0, 2, 4, 71, 413
Sort 0.02, -4/5, 205.1905, 0 in increasing order.
-4/5, 0, 0.02, 205.1905
Put 0, -9, 5, -38, -5, -265 in ascending order.
-265, -38, -9, -5, 0, 5
Sort 0, 0.27, 4, 14124 in descending order.
14124, 4, 0.27, 0
Put -9, -40/49, 0, -60/17, -1 in decreasing order.
0, -40/49, -1, -60/17, -9
Sort 9929, 5, -95, 158 in ascending order.
-95, 5, 158, 9929
Sort -70, -0.3, 3, -10, -3, 2/9 in descending order.
3, 2/9, -0.3, -3, -10, -70
Sort 0, -1, -157, 172 in decreasing order.
172, 0, -1, -157
Sort -288, -46666, -3 in decreasing order.
-3, -288, -46666
Sort 33919, -1/6, -0.9, -1/4, 5 in decreasing order.
33919, 5, -1/6, -1/4, -0.9
Put 5, -8, 7, 54660, 2 in ascending order.
-8, 2, 5, 7, 54660
Sort 6038, -12, -150, 4.
-150, -12, 4, 6038
Put -3/8, 0.3, 4, -2, 2, -1.12204 in increasing order.
-2, -1.12204, -3/8, 0.3, 2, 4
Sort 1/7, -17, -5/4, 2/13, -2/51 in ascending order.
-17, -5/4, -2/51, 1/7, 2/13
Put -3, 58, 8.6, -21 in decreasing order.
58, 8.6, -3, -21
Put -1/58, 163, 1.4978 in ascending order.
-1/58, 1.4978, 163
Sort 2, -190, 668, 0, -57.
-190, -57, 0, 2, 668
Put 19228.3, 0, 0.3, -5, -17 in increasing order.
-17, -5, 0, 0.3, 19228.3
Sort -5, 0.2, 2/97, 1.6, -3/5, 45 in increasing order.
-5, -3/5, 2/97, 0.2, 1.6, 45
Put 53187, 0, 2, -27, 5 in decreasing order.
53187, 5, 2, 0, -27
Sort 0.4, 3/76, 1252672 in ascending order.
3/76, 0.4, 1252672
Put -2/7, 590.2191, 3, 0.07 in increasing order.
-2/7, 0.07, 3, 590.2191
Sort -536257, 6, -4 in descending order.
6, -4, -536257
Sort -324, 4, 49177.
-324, 4, 49177
Sort -2, -266.1, -0.2, 3, 2/5, 6/11.
-266.1, -2, -0.2, 2/5, 6/11, 3
Sort 16, 5, 2, 130568 in ascending order.
2, 5, 16, 130568
Sort -4, -1, 0, -914, 11, -5, 20 in descending order.
20, 11, 0, -1, -4, -5, -914
Put -0.15, 0, 0.1, 247773 in descending order.
247773, 0.1, 0, -0.15
Put 3/2, -4, 5/311, -5, 0.3, 1/6 in decreasing order.
3/2, 0.3, 1/6, 5/311, -4, -5
Sort -1/3, 1/2, -1407832.1.
-1407832.1, -1/3, 1/2
Sort 2, -1481, -3, 0.4, -5 in decreasing order.
2, 0.4, -3, -5, -1481
Put 0, -3015, -13, -5, -335 in descending order.
0, -5, -13, -335, -3015
Put -260, 4, 9, 6, 5, -3 in increasing order.
-260, -3, 4, 5, 6, 9
Put 3, -8, -1, 0.3, -4, -3.3, 404 in descending order.
404, 3, 0.3, -1, -3.3, -4, -8
Put 40, -4, 4, -11, 104 in increasing order.
-11, -4, 4, 40, 104
Put 50.2, -3, -3786 in descending order.
50.2, -3, -3786
Put 2, 40, 5, -3, -48, -1, 30 in decreasing order.
40, 30, 5, 2, -1, -3, -48
Sort -1.2, 1/17, 116522 in decreasing order.
116522, 1/17, -1.2
Put -5, 203, 5, 2, -17, 60, 0 in increasing order.
-17, -5, 0, 2, 5, 60, 203
Put -387, -4, -171, -2, -54 in decreasing order.
-2, -4, -54, -171, -387
Put -2173, 2, -3, 0, -107, 3 in increasing order.
-2173, -107, -3, 0, 2, 3
Sort -76, 0.22, -0.307, -2/9, 4 in decreasing order.
4, 0.22, -2/9, -0.307, -76
Put -1, 3.5, 20.4, -65, -2/47 in decreasing order.
20.4, 3.5, -2/47, -1, -65
Put 43, -7, -76, -5, -8, 2, -2 in decreasing order.
43, 2, -2, -5, -7, -8, -76
Sort 19/139, 102, 0.2, -2/13 in descending order.
102, 0.2, 19/139, -2/13
Sort 4/11, -0.4, 293, 2.
-0.4, 4/11, 2, 293
Sort -0.4, 0.2, -0.1, -1/2, -1818 in ascending order.
-1818, -1/2, -0.4, -0.1, 0.2
Put -2/9, 2/5, 2665/124 in descending order.
2665/124, 2/5, -2/9
Sort -3/2, -4, -2/11, 0.1, 52683 in ascending order.
-4, -3/2, -2/11, 0.1, 52683
Put -2, 9, -279, -16, -1, 5, 1 in descending order.
9, 5, 1, -1, -2, -16, -279
Put 25, 4, -6, 11, -10542 in decreasing order.
25, 11, 4, -6, -10542
Put -5, 0.06486, 5, -25/2, -16 in descending order.
5, 0.06486, -5, -25/2, -16
Sort 95, -2, 4, -1, -10.
-10, -2, -1, 4, 95
Sort 0, -570, 26, -22 in decreasing order.
26, 0, -22, -570
Sort 3, 7287, 23 in decreasing order.
7287, 23, 3
Sort -28, 1, 3, 40 in ascending order.
-28, 1, 3, 40
Sort 1/6, -2/5, 302, -1, 0.3, -22 in descending order.
302, 0.3, 1/6, -2/5, -1, -22
Sort 1453, -655, 24 in descending order.
1453, 24, -655
Sort 8, -192, -35/2, -1/3, 0.4 in decreasing order.
8, 0.4, -1/3, -35/2, -192
Sort -767, 5, 3172 in ascending order.
-767, 5, 3172
Put 461, 177, 3 in decreasing order.
461, 177, 3
Put 4, -14, 1, 472, -1, 48, 2 in decreasing order.
472, 48, 4, 2, 1, -1, -14
Sort 133, -451, 9 in decreasing order.
133, 9, -451
Sort -3, 568763, 6.
-3, 6, 568763
Sort 3, 781/13, -10/157 in descending order.
781/13, 3, -10/157
Sort -9/4, -1/2, 525468, 1, 2/15.
-9/4, -1/2, 2/15, 1, 525468
Put 2/5, 55/6, 74, 2 in descending order.
74, 55/6, 2, 2/5
Sort 10, 3, -707.4, 0.5 in increasing order.
-707.4, 0.5, 3, 10
Put 10, 1, -130335, 2 in decreasing order.
10, 2, 1, -130335
Put -1, 2, -5, -17, 4, -3, 39496 in descending order.
39496, 4, 2, -1, -3, -5, -17
Put -8, 95, -2, -258, -3, 1, 2 in descending order.
95, 2, 1, -2, -3, -8, -258
Put 0, 1, 6, -12, 2, 28 in decreasing order.
28, 6, 2, 1, 0, -12
Put 0, -5, 12732/2575 in decreasing order.
12732/2575, 0, -5
Put -1, 2, 0, -3, 88, -17, 17 in increasing order.
-17, -3, -1, 0, 2, 17, 88
Put -3, -1062.5, 2/31, -108, 5 in ascending order.
-1062.5, -108, -3, 2/31, 5
Sort 191, -4, 2, 0.09 in descending order.
191, 2, 0.09, -4
Sort 4, -2/7, -4, -851, 0.022 in descending order.
4, 0.022, -2/7, -4, -851
Put -37, 3/2, 2, -11/2696, -0.1 in ascending order.
-37, -0.1, -11/2696, 3/2, 2
Sort -1, -1910, -3, 0, 476 in decreasing order.
476, 0, -1, -3, -1910
Sort -102, -227, -3, -194 in increasing order.
-227, -194, -102, -3
Put -3705, 3, 0.5561, -1 in increasing order.
-3705, -1, 0.5561, 3
Put 2/3, -0.06, -4, 57121/8 in decreasing order.
57121/8, 2/3, -0.06, -4
Sort -5359, -2813, -3 in ascending order.
-5359, -2813, -3
Sort 3/4, 36.5, -0.4, -6789, 4 i | {
"pile_set_name": "DM Mathematics"
} |
69. Let a be -2 + (-2 - -4 - -2). Let u(s) = s - 3 - s**o - 3 - a*s**2 - s**2 + 4. Give u(-3).
-5
Let a(k) be the first derivative of -k**4/2 - 2*k**3/3 + k**2/2 - 2*k + 55. Give a(-2).
4
Let n(v) = -95*v + 137*v**3 + 11*v**2 - 15 + 82*v - 136*v**3. Calculate n(-12).
-3
Let m(r) = r**3 + 9*r**2 + 17*r + 70. Let b be m(-8). Let c(g) = g**2 + 4*g + 3. Give c(b).
-1
Let j(l) = 101 + 90 + l - 188. What is j(5)?
8
Let i(b) = -b**2 + 19*b - 22. Let f be (-6)/(3 + (-221)/65). What is i(f)?
38
Let g(i) = -i**2 + 12*i - 32. Let h = -767 + 771. Give g(h).
0
Suppose 4*s + 2 = 6. Let p(f) = 570*f**2 - 4 - 580*f**2 + 3 + f. What is p(s)?
-10
Let h(v) = 13*v + 25. Let r be h(-2). Let q(d) = 8*d - 1. Calculate q(r).
-9
Let w(v) = -16 - 4*v + 29*v - 24*v. What is w(11)?
-5
Suppose -43*y + 47*y - 16 = 0. Let f(t) = -3*t + y*t - 10 + 12 + 0*t. Suppose -2*g - 8 + 2 = 0. What is f(g)?
-1
Let d(y) = 28*y**2 + 10*y + 6. Let g(s) = 9*s**2 + 3*s + 2. Let i(k) = 2*d(k) - 7*g(k). Calculate i(-2).
-28
Let t(x) = 19*x + 1. Let z = 90 + -91. Calculate t(z).
-18
Suppose -4*t + 15 = t, 5*t = s + 12. Let u(x) = 458*x**2 - 450*x**2 + 5*x - 3*x**3 + 4*x**s - 8. What is u(-7)?
6
Let p(l) = -164*l**2 + 79*l**2 + 0*l + 83*l**2 - l. What is p(-1)?
-1
Let m(j) = -51*j + 17. Let h(k) = -40*k + 17. Let a(t) = 5*h(t) - 4*m(t). Give a(-4).
1
Suppose -10*p + 4*p = 0. Suppose 2*v = -p*v. Let l(y) = -8*y**2 + 2*y**2 - 7 + 5*y**2. Give l(v).
-7
Let x(j) = -3 + 6 + 3 - 7 + j. Let q(g) = 5*g - 3. Let y(l) = -q(l) + 3*x(l). Give y(-3).
6
Let q(y) = 4*y**2 - 33*y + 9. Let c be q(8). Let n(h) = -h**2 + 8*h + 4. Let j be n(8). Let x(t) = c - j + t + 1 + 3*t. Give x(3).
10
Let h(f) = f**3 + 3*f**2 + 3*f + 1. Suppose 5*i - 11 + 1 = 0. Let q = 3 + i. Suppose -w + 17 = -4*j, -6*j + j = q*w - 10. Give h(j).
-8
Let o(c) = c**2 + 10*c + 14. Let w be o(-9). Let a be (-2)/w + 54/(-15). Let d(l) = -l - 3. Give d(a).
1
Let a(z) = z**2 + 6*z + 3. Let o(d) = -d + 3. Let q(v) = v - 1. Let c(p) = o(p) + 2*q(p). Let y(l) = -a(l) + 6*c(l). Let m be -3*48/(-18) + -5. Determine y(m).
-6
Let l(c) be the third derivative of -11*c**5/60 + c**4/6 + c**3/6 + 117*c**2. What is l(-2)?
-51
Let n be -2 + 2 + 0 - -3. Let j(x) be the second derivative of 2*x - 1/12*x**4 + 0 + 1/3*x**3 - 1/2*x**2. Determine j(n).
-4
Let m(d) be the second derivative of d**4/12 + d**3/2 - d**2 + 3*d + 6. Let o(l) = l + 1. Let g be o(-4). Give m(g).
-2
Let n(c) = 2*c - 49. Let x be n(27). Let z(v) = 2*v**3 + 9*v + 6. Let q(f) = 5*f**3 + f**2 + 26*f + 18. Let t(i) = 3*q(i) - 8*z(i). What is t(x)?
-14
Suppose 18 = -31*o + 34*o. Let k(f) = 16*f - 13*f - f**2 + 2*f. What is k(o)?
-6
Let k(j) be the first derivative of j**3/3 + j**2/2 - 23*j + 389. Calculate k(5).
7
Let h = -197 - -197. Let r(k) = -2*k - k**3 + 0*k**2 + k + k**2 + 11. Determine r(h).
11
Suppose -5*i - 20 = -5*w + 15, 0 = 5*i. Let g(b) = -1 - 6*b - 4 + 6*b + w*b - b**2. Give g(4).
7
Let v = -330 - -326. Let f(m) = 2*m**3 + 4*m**2 - 3*m + 1. Give f(v).
-51
Let o(l) = -20 + 40 - 21 - 12*l. Determine o(1).
-13
Suppose -27*r = -33*r - 6. Let b(m) = 2 - 2 - m + 3*m**3. Give b(r).
-2
Let x(m) = -m**3 - 6*m**2 - 6*m - 3. Let u be 112/(-20)*1 - 6/(-10). Give x(u).
2
Let r(x) = x - 35. Let b be r(12). Let l(n) = n + 30. Let i be l(b). Let t(g) = g**2 - 7*g - 7. Give t(i).
-7
Let l(w) = -2*w**3 - 6*w**2 + 3*w - 2. Let x(m) = m**3. Let i be 1 + -2 - ((-6)/2 - -5). Let v(g) = i*x(g) - l(g). Give v(4).
22
Let c(m) = -4*m**3 + m**2 + 6*m - 2. Let y(f) = -3*f**3 + 5*f - 1. Let h(g) = -4*c(g) + 5*y(g). Let i(j) = -4*j + 144. Let a be i(35). Give h(a).
7
Let a(u) = u**3 - 3*u**2 - 2. Suppose -2*v - 3 = -o, -4*v = -4*o - 0*v + 16. Suppose -11 = -o*p + 4. Give a(p).
-2
Let a(t) = t**2 + 7*t + 6. Let k be 4 + (1 + -3)/2. Let g be 3 + -4 - (k - 22). Let h = -24 + g. What is a(h)?
0
Let w be ((-52)/(-10))/(((-56)/(-20))/(-7)). Let q(f) = f + 17. Determine q(w).
4
Let s(p) be the second derivative of p**4/12 + p**3/2 + 15*p**2/2 - 24*p. Let g(v) be the first derivative of s(v). Give g(-5).
-7
Suppose 0 = -2*l + 2*y + 4, -y - 6 = -3. Let d(v) be the first derivative of 3*v**2 - 1. Calculate d(l).
-6
Suppose 0 = -3*q - 2*w - 2, 6*q - q + 6 = -4*w. Suppose -5*o + 7 = 2. Let n(j) = j + o - 3*j**2 - j - j. Determine n(q).
-13
Suppose 5*r - 2 = d + 7, -9 = -3*d + 3*r. Let y(h) = h**2 - 2*h - 17. What is y(d)?
7
Let n(q) = -2*q + 1. Let v(j) = j - 1. Let l(c) = -6*n(c) - 13*v(c). Let y(d) = -d**3 - 14*d**2 - 12*d + 16. Let k be y(-13). Determine l(k).
4
Suppose -2*m - 2 + 6 = 0. Suppose m*x = -3*b - 17, -2*b + 5*x + 23 = -3*b. Let a(v) = v**2 + v. Determine a(b).
6
Let b be 6/2 + (-4 - -3). Suppose -5*f = o - 20, -o = -b*f + 3*f - 4. Let t(l) = -2*l + 6. Calculate t(f).
-2
Let v(d) = d**3 + 7*d**2 + 5*d - 4. Suppose 4*l + c = 8, 2*l + 3*c = -3*l + 17. Let y be (1/(-3))/(2/30)*l. What is v(y)?
21
Let f(a) be the second derivative of a**4/12 - 5*a**2 - 5*a - 14. Give f(0).
-10
Let l(u) = -u**3 - u**2 - u + 5. Suppose -5*p + 5*q = 40, 5*p + q = -q - 61. Let m = p - -14. Suppose -m*n = -0*n. Determine l(n).
5
Let k = 22 + -27. Let o(v) = -3*v + 11. Let l(a) be the second derivative of -2*a**3/3 + 8*a**2 - 3*a. Let x(b) = 5*l(b) - 7*o(b). Calculate x(k).
-2
Let q(a) = -9*a**2 + 14*a - 38. Let i(c) = 7*c**2 - 16*c + 36. Let t(m) = -4*i(m) - 3*q(m). What is t(20)?
10
Let c(a) be the second derivative of a**3 - a**2/2 - 8*a. Let y = 1 + 2. Suppose -2*v = -3*v - 4*n + 5, y*v + n = 4. What is c(v)?
5
Let r(q) be the second derivative of -q**5/20 - q**4/3 + 5*q**3/6 - 3*q**2/2 - q. Let z = -7 - -107. Suppose z*d - 95*d + 25 = 0. What is r(d)?
-3
Let r(x) be the first derivative of 1/4*x**4 + 5/3*x**3 - 9/2*x**2 - 8*x - 49. Calculate r(-6).
10
Let t(q) be the first derivative of q**3/3 - 5*q**2/2 + 3*q - 25. Let o = -9 + 13. Give t(o).
-1
Suppose 4 = 3*z + z. Suppose -13 - 67 = -8*s. Let l(y) = 0*y**3 + 4*y**3 - y**3 - s*y + 11*y. Determine l(z).
4
Suppose -13*d - 13*d = 182 - 0. Let a(j) = -j**2 - 6*j + 1 - j**2 + j**2. Calculate a(d).
-6
Suppose 4*q - 50*w = -45*w - 21, 15 = -q - 2*w. Let r(d) = d**3 + 10*d**2 + 8*d - 11. Calculate r(q).
-2
Let u(k) be the first derivative of -k**2 + k + 50. Calculate u(-5).
11
Suppose 3*x - 7 = 2*x. Let q(c) = 6 - x*c + 2*c**2 - c**2 + 0*c + 0*c**2. Calculate q(6).
0
Let f(t) = -t - 6. Let m = -9 + 3. Let a be f(m). Let v be (a + 16/12)*-3. Let p(d) = d**3 + 3*d**2 - 2*d + 5. What is p(v)?
-3
Let d be (-14)/12 - 954/108. Let l(f) = -f**3 - 10*f**2 + 11. Determine l(d).
11
Let s(d) be the first derivative of d**4/4 - 4*d**3/3 - 3*d**2 + d - 2. Let b(x) = -2*x**3 + 13*x**2 - 2*x - 19. Let w be b(6). Calculate s(w).
-4
Let g(z) = 4*z**3 + z**2 - 2*z + 1. Let p = -23 + 21. Suppose i + 1 = j + 3, 0 = -i + 3*j + 2. Let d be -4 + i + 1 - p. What is g(d)?
4
Let g = -5 - -13. Suppose -8 = 2*q + 2*u, 5*q + g = -u - u. Let t(n) = -5*n + 3*n + q*n - n. Give t(-3).
9
Suppose 0 = -5*r - 5*f, -r - 4*r - 27 = -4*f. Let w(p) = 4 + 5 - 3 - 4 - 4*p. Determine w(r).
14
Let u(s) = 3*s**3 + 2*s**3 - 4*s**3 - 2 + 4*s**2 - 4*s. Suppose 91 = 8*j - 77. Let k be (j + -18)*(0 - 5/3). Determine u(k).
-7
Let l be (-5)/(50/4) + 28/20. Suppose -165 = -5*w + 285. Let u(m) = 83*m - m**2 + l - w*m - 8. Give u(-6).
-1
Let s(i) = -i**3 - 6*i**2 - 2*i - 8. Let m be s(-6). Suppose -6 = 2*a, 7*a + 43 = m*k + 2*a. Let v(z) = -z**3 + 7*z**2 + 2*z + 4. Give v(k).
18
Let d(o) = -11*o**2 - o. Let x(n) = 3*n - 10. Let h = -12 + 16. Let l be x(h). Let f be 0/(l/(-2)) - 1. What is d(f)?
-10
Suppose q + 7 = -3*a, 0*q + a = 4*q + 2. Let v(f) = -7*f**3 - f**2 - f - 1. What is v(q)?
6
Let m be 4*(-9)/63 - 78/(-63). Let h(u) be the third derivative of 1/12*u**4 + 0 + 0*u - u**2 - m*u**3. Give h(3).
2
Let k(i) be the first derivative of i + i**2 - 1/3*i**3 + 8. Let t(y) = y**3 + y**2 - 4*y - 2. Let d be t(2). Calculate k(d).
1
Let t(i) = -15*i + 14. Let c(p) = 25*p - 27. Let v(k) = 4*c(k) + 7*t(k). What is v(5)?
-35
Let n be (-5)/(-2) - 52/8. Let j(m) = m**3 + 2*m**2 - 4*m + 4. What is j(n)?
-12
Let p(s) be the first derivative of -s**4/4 - 3*s**3 - 4*s**2 + s - 69. Determine p(-8).
1
Let v(g) be the third derivative of 3/2*g**3 - 1/120*g**6 - 6*g**2 - 1/24*g**4 + 0 + 7/60*g**5 - 6*g. What is v(7)?
2
Let i(h) = -2*h**3 + 3*h**2 - 1. Sup | {
"pile_set_name": "DM Mathematics"
} |
r: s or 2/5?
2/5
Let x be -3 - 0 - (5 + -11). Let n = 2 - x. Let o = 13/115 - -2/23. Which is bigger: o or n?
o
Let i be 175/(-1528) - (-13)/104. Are i and -1 equal?
False
Let q be ((2/9)/(-1) + 0)/1. Suppose -p + 5*t = -11, -3*p - 2*p - t + 3 = 0. Is p smaller than q?
False
Suppose 0 = 2*r - 6 + 4. Let t(j) = -j - 2 + 2. Let g be t(r). Which is bigger: -4/7 or g?
-4/7
Suppose -4*i - 12 = -i. Let p = 309 + -314. Which is smaller: i or p?
p
Let k be (-13)/(-26)*16*4. Is k at least as big as 31?
True
Let f = -10 + 13.2. Let y = f - 3. Let o = 0 - -0.2. Are o and y nonequal?
False
Let m be 5152/(-52) + 1 + -1. Let k(u) = -5*u**2 - 6*u + 5. Let o be k(4). Let l = o - m. Which is smaller: -1 or l?
-1
Suppose -2*a + 5 = -11. Let z = -1 + a. Let x = -8 + z. Do 1/12 and x have different values?
True
Let u = 223 - 221.14. Let r = 0.14 + u. Is -1/4 greater than or equal to r?
False
Let g = 5 - 6. Let k be 3/(g - 106/(-4)). Is 0 greater than k?
False
Let n(p) = p**2 - 3*p - 2. Let a be n(3). Let u be (5/a)/(1/(-14)). Let o = u + -173/5. Is 0.1 at most as big as o?
True
Let u be (-2)/4*(-2 - -2). Let c = -30 + 31. Which is smaller: u or c?
u
Let x = 11 + -7. Let i(c) = -c - 6. Let k be 4/(-1*(-4)/(-10)). Let g be i(k). Is x smaller than g?
False
Let b be (-3)/(-9) + 49/(-3). Let n = -33 - b. Are n and 1/4 equal?
False
Let k(z) = z**3 + 10*z**2 + 9*z + 2. Let q be k(-9). Let t(c) = 15*c + 4. Let y be t(3). Let o = 341/7 - y. Which is smaller: q or o?
o
Let t(o) = -o**3 + 8*o**2 + 9*o - 14. Let k(m) = -5*m**3 + 31*m**2 + 37*m - 57. Let u(p) = 2*k(p) - 9*t(p). Let a be u(-9). Which is greater: a or -1?
-1
Let y = -10 - -14. Suppose 5 = y*r + 57. Which is smaller: 0 or r?
r
Let t = 97 + -85. Is t smaller than 11?
False
Let v = 1 - 0. Let k = 881/56 - 119/8. Which is smaller: k or v?
k
Let s(d) = d - 1. Let o be s(1). Suppose x = -3*j + 1, 3*j + 0*x + 2*x + 1 = o. Is j less than -1/3?
False
Let z = 378 - 1263. Let w be z/(-4725) + (-1)/7. Is 1 > w?
True
Let c = 133 + -236. Is c at least 0.1?
False
Let t be 2/(24/(-52))*3. Let y be 1 + (-4)/((-64)/t). Is y smaller than -1?
False
Let t = -1.7 + 1.9. Is t >= 0.2?
True
Suppose 3*r = -5*n - 12, -2*r - 4 + 0 = 2*n. Let l be (r - 2) + 3/3. Suppose p + l - 1 = 0. Which is smaller: 6/11 or p?
6/11
Suppose -2*z + 59 = -21. Suppose z = -f + 5*f. Suppose 5*l + 24 = 2*r, -3*l - 3*r = -2*r + f. Do -4 and l have the same value?
True
Suppose -4 = -4*a - 4*w, -5*a + 6*w - 5*w = 1. Let g be ((-2)/(-4))/(3/2). Is a less than g?
True
Let p(w) = -w**3 + 6*w**2 + 8*w - 7. Let o be p(7). Let r be (-3)/(-7)*(-49)/(-7). Are o and r non-equal?
True
Let n = -146 + 1025/7. Is 0 bigger than n?
False
Suppose -d - 2 = -3*d - 2*y, -4*d + y = -19. Let u be d - 3 - (0 - 1). Suppose 3*c + u*c = 10. Is 2 less than c?
False
Let x = 38 - 11. Does x = 26?
False
Suppose 3*a - 3*l - 84 + 231 = 0, 0 = a + 4*l + 69. Which is smaller: a or -54?
-54
Suppose 0 = 4*b + b + 80. Let v be (2/b)/((-1)/1). Let j(d) = -d. Let w be j(-1). Which is smaller: v or w?
v
Let y(c) = -12*c + 5. Let b be y(0). Let t = 49 + -34. Suppose s = -2*s + t. Is s less than or equal to b?
True
Let u = -15 - -21. Let w be (1/4)/(u/16). Suppose 4*f - 3 = 1. Is w != f?
True
Suppose 3*s + 0*s - 6 = 0. Let d be (-12)/(s*-2) + 3. Is d equal to 5?
False
Let m = 7.913 - 0.013. Let c = m + -8. Let b = c + -0.9. Which is smaller: -0.2 or b?
b
Let l be 2/2 + 909/(-927). Is 1 smaller than l?
False
Let p = 1.008 + -0.008. Is -15 less than or equal to p?
True
Suppose 3 = -3*r, 5*b - 2*r = 3*r. Let c be 2/8 + (-34)/104. Is c bigger than b?
True
Let k(r) = 3*r + 9. Let h be k(-4). Let l be (-264)/32 - h/(-4). Is -8 at most as big as l?
False
Let r(d) be the first derivative of -d**2/2 - 3*d + 1. Let s be r(-3). Let y be 1 + -1 + s + 2. Which is greater: -0.2 or y?
y
Let a(h) = -h. Let n be a(-7). Let v = n - 2. Is v < 6?
True
Let z = -93 + 85. Which is smaller: -9 or z?
-9
Let f = 0.1 + -0.3. Let w = -9.2 - -1.2. Let d = -10 - w. Do f and d have the same value?
False
Let f(v) = -131*v + 1. Let g be f(1). Let z = -395/3 - g. Which is greater: -2 or z?
z
Let s = -523/9 - -58. Does 0 = s?
False
Suppose 4*z - 48 = z. Suppose z = -w - 3*w. Which is bigger: w or -5?
w
Let n be (-7)/(-2)*(-3)/(-7). Let h = n + -29/14. Is h smaller than 0?
True
Suppose -2*t + 32 = 12. Let n = t + -6. Suppose -z + 5 = n. Is z != 1/4?
True
Suppose -15*s = -10*s - 195. Which is smaller: 41 or s?
s
Let h = 0.98 - 0.98. Are 6.1 and h nonequal?
True
Let o be 3/(-7) + (-266)/(-1078). Which is smaller: -1 or o?
-1
Let t = -33 + 27. Is -4 bigger than t?
True
Let a(o) = -o**2 - 16*o + 10. Let g be a(-7). Is 72 less than g?
True
Suppose -2*w + 1 + 7 = 0. Let d be 5 + 0/((-4)/2). Is d equal to w?
False
Let n be (-44)/(-80) - 1/(-5). Is n bigger than 1?
False
Let i = -10.4 - -10. Let t = -0.3 - i. Do -1/4 and t have the same value?
False
Let i = -45910/49 - -937. Are i and 0 equal?
False
Let l = -31 - -34. Is 10/3 less than l?
False
Let o = 55 + -55. Let m = 3 + -2.94. Which is bigger: m or o?
m
Suppose 5 + 1 = x. Which is bigger: -2 or x?
x
Suppose -2*v = -5*v + n - 22, n = 5*v + 34. Let q = -2 - 4. Is v greater than q?
False
Suppose 0 = 3*q - 7 - 2. Let x = q + -1. Suppose -2*s - 3*h = -8*h - 14, -4*h - 4 = x*s. Is s at most 3/5?
False
Let v = 11835/29 + -408. Which is greater: 1 or v?
1
Let z be 146/(-6) + (-2)/3. Is z not equal to -26?
True
Let n be -2*((-1)/8)/1. Let r be (27/6)/((-6)/(-8)). Let s be 4/r*6/(-4). Do s and n have the same value?
False
Let o = 49.1 + -46. Let g = 6 + -9. Let f = g + o. Which is bigger: -0.2 or f?
f
Suppose -2*i + 5 = 3*i. Let u be (-2)/2 + 36/(-208). Let r = u - -12/13. Which is smaller: r or i?
r
Let b = 2 + 3. Let n(s) = 2*s**2 - s - 1. Let w be n(2). Is w > b?
False
Let b = -32 + 25. Which is greater: -19/3 or b?
-19/3
Let h(i) be the second derivative of -i**4/12 + i**3 - 3*i**2/2 + 2*i. Let f be h(5). Let x(b) = b - 1. Let v be x(3). Is f <= v?
True
Suppose y - 1 = -5. Let n be (y/6)/((-14)/6). Let i be (-10)/(-35) + 2/(-7). Which is smaller: n or i?
i
Suppose 2*m = -r + 3*r - 8, 0 = 4*m + 20. Let d = 1 - 1.2. Let i = 0.4 + d. Which is smaller: r or i?
r
Let h = 16.92 - 1.92. Which is smaller: 1/6 or h?
1/6
Let o = 3 - 2. Suppose 4*y + 30 = -y. Let s be 2/4 - (-1)/y. Which is smaller: o or s?
s
Suppose -24 = -0*o + 4*o + c, 0 = -3*o - 4*c - 18. Is o equal to -5?
False
Let n = -26 - -14. Which is greater: -11 or n?
-11
Let s = -98/3 + 32. Let o = 2 + 2. Suppose -o*f - 2 = 6. Which is greater: s or f?
s
Let s = 50 - 118. Which is smaller: 0 or s?
s
Let o(b) = 2*b + 1. Let v be o(2). Let p(d) be the second derivative of d**4/12 - 5*d**3/6 + 2*d. Let t be p(v). Is 0 smaller than t?
False
Let w = 113 + -113. Is w less than or equal to 1/9?
True
Let h = -2.21 - 22.89. Let n = -31 - h. Let v = 6 + n. Is -1 < v?
True
Let n = 1.61 + 1.39. Is n greater than or equal to 1/3?
True
Suppose -i + 24 = 21. Suppose -i*m + q = 12 + 5, m - 2*q = -14. Is m at least as big as -7/2?
False
Let s = 10 + -10. Which is smaller: s or 3/5?
s
Suppose 2*x - 3*s + 0*s - 85 = 0, 2*x - 5*s = 83. Which is bigger: 42 or x?
x
Suppose 2*s + 10 = i + 5*s, 3*s = 3*i - 6. Suppose 3*m + 15 = 0, 60 = -n + i*n - 3*m. Let f be ((-1)/(-5))/(4/n). Is 1 equal to f?
False
Let b(x) = -14*x + 4. Let l be b(-9). Let z be (-2)/13 + (-45)/l. Do z and -0.4 have the same value?
False
Let o = -0.65 - 0.05. Which is bigger: o or -1?
o
Let c be (-9)/7 + (-8)/(-28). Which is bigger: -42 or c?
c
Let h(k) = 6*k**3 + 20*k**2 - 10*k - 26. Let x(r) = -r**3 - 4*r**2 + 2*r + 5. Let b(o) = -2*h(o) - 11*x(o). Let m be b(3). Which is bigger: 2 or m?
2
Let u be (-6)/(-10) + (-6)/(-15). Are u and 2 equal?
False
Let c = -11 - -21. Suppose -k - s - 6 + 1 = 0, -2*s - c = 3*k. Which is bigger: k or 2?
2
Suppose -11*p + 2 = -10*p. Is 0 at least as big as p?
False
Let t = 29 + -26. Let l = -0.05 - -0.45. Let p = l + -0.3. Are p and t nonequal?
True
Suppose -4*g = -q + 6, g + 2*g - 5 = -4*q. Do 1/19 and g have the same value?
False
Let d = 1027397/255 + -4029. Is 1 < d?
False
Let r = 2 + -1. Let j be (20/50)/(1/(-35)). Let p be (-7)/j + 2/(-6). Which is bigger: p or r?
r
Suppose -5*q - 5*q + 10 = 0. Is q at most 0?
False
Let p = -5.07 + 5. Let k = -0.07 - p. Is 3/8 | {
"pile_set_name": "DM Mathematics"
} |
7, q: 4, r: 1, m: 4, x: 3}. What is prob of sequence gcrm?
7/29070
Three letters picked without replacement from ynfffyennw. Give prob of sequence fwy.
1/120
What is prob of sequence uuw when three letters picked without replacement from {u: 17, w: 1}?
1/18
What is prob of sequence fkmi when four letters picked without replacement from miifmkii?
1/210
Four letters picked without replacement from {t: 5, v: 2}. Give prob of sequence tttt.
1/7
Calculate prob of sequence rrkr when four letters picked without replacement from {k: 3, r: 4}.
3/35
Two letters picked without replacement from {e: 3, o: 9, r: 1, j: 1}. What is prob of sequence oe?
27/182
Four letters picked without replacement from rrjrrrjjjjjjr. Give prob of sequence jrrj.
21/286
Calculate prob of sequence vfmv when four letters picked without replacement from vfmmmvm.
1/105
Four letters picked without replacement from {z: 1, n: 1, b: 4, p: 5, f: 3}. What is prob of sequence ffpf?
5/4004
Four letters picked without replacement from bbaaaaaaaabbb. What is prob of sequence baab?
28/429
What is prob of sequence on when two letters picked without replacement from osooonsylsos?
5/132
What is prob of sequence skl when three letters picked without replacement from lkalaskjsalskljk?
1/70
Four letters picked without replacement from {n: 11, j: 2}. Give prob of sequence nnjn.
3/26
Calculate prob of sequence rrr when three letters picked without replacement from xxxxxxrxxxrxxrx.
1/455
Calculate prob of sequence mfsm when four letters picked without replacement from pmiisimmppifii.
1/4004
Two letters picked without replacement from {t: 1, a: 1, x: 1}. What is prob of sequence at?
1/6
Calculate prob of sequence zxx when three letters picked without replacement from {z: 15, x: 4}.
10/323
Three letters picked without replacement from {c: 3, j: 4}. What is prob of sequence cjc?
4/35
Two letters picked without replacement from {i: 1, r: 1, x: 1, d: 1, v: 1}. Give prob of sequence vi.
1/20
Two letters picked without replacement from {k: 3, m: 1, j: 4, v: 8, b: 1}. What is prob of sequence jb?
1/68
Three letters picked without replacement from aayyyjaaeeayaaewaa. Give prob of sequence yja.
1/136
Two letters picked without replacement from {r: 1, h: 1, w: 5, c: 1, v: 1}. What is prob of sequence vw?
5/72
What is prob of sequence jr when two letters picked without replacement from krypkkkrkj?
1/45
What is prob of sequence dr when two letters picked without replacement from vjrjuvrvjd?
1/45
What is prob of sequence aa when two letters picked without replacement from rrrmrama?
1/28
Calculate prob of sequence cmcm when four letters picked without replacement from mzzcmc.
1/90
Two letters picked without replacement from ffzfffzzzvfv. Give prob of sequence vz.
2/33
What is prob of sequence iiii when four letters picked without replacement from iiii?
1
Four letters picked without replacement from fkcikkkkwkcikkcfw. What is prob of sequence fkcc?
1/595
Two letters picked without replacement from {u: 2, n: 4}. Give prob of sequence un.
4/15
Two letters picked without replacement from xyxemexexxxxxxxexmx. What is prob of sequence ym?
1/171
What is prob of sequence uuu when three letters picked without replacement from {u: 2, l: 9}?
0
Three letters picked without replacement from {x: 4, j: 2, c: 1, n: 10}. What is prob of sequence xjj?
1/510
What is prob of sequence dggd when four letters picked without replacement from {g: 3, d: 4}?
3/35
Three letters picked without replacement from lllolllllloollollllo. Give prob of sequence oll.
35/228
Two letters picked without replacement from vvvvkjvjvvvevvvevvv. Give prob of sequence kj.
1/171
What is prob of sequence hhuh when four letters picked without replacement from {h: 4, u: 5, b: 3, e: 1, s: 5}?
1/612
Three letters picked without replacement from {t: 10}. Give prob of sequence ttt.
1
Calculate prob of sequence tc when two letters picked without replacement from {c: 4, b: 3, t: 1, e: 2}.
2/45
What is prob of sequence qe when two letters picked without replacement from {u: 2, w: 1, e: 4, a: 7, q: 4}?
8/153
Four letters picked without replacement from {p: 1, y: 1, v: 3, w: 2, n: 3, q: 1}. What is prob of sequence wnqp?
1/1320
Four letters picked without replacement from {p: 2, z: 4, d: 5, s: 4}. Give prob of sequence psps.
1/1365
Calculate prob of sequence mddq when four letters picked without replacement from {j: 1, g: 2, q: 3, m: 4, d: 4}.
6/1001
Two letters picked without replacement from {z: 6, p: 4, f: 10}. Give prob of sequence pp.
3/95
Three letters picked without replacement from jjjijjjjjiijjjj. Give prob of sequence ijj.
66/455
Three letters picked without replacement from rrwfwwrrwwrxwfrrwx. What is prob of sequence xfw?
7/1224
Three letters picked without replacement from {e: 11, w: 2}. What is prob of sequence eww?
1/78
Four letters picked without replacement from {q: 2, d: 2}. Give prob of sequence qqdd.
1/6
What is prob of sequence tta when three letters picked without replacement from aatta?
1/10
Two letters picked without replacement from {o: 1, f: 1, n: 5, x: 2, t: 5, w: 1}. Give prob of sequence ow.
1/210
What is prob of sequence ttte when four letters picked without replacement from {e: 2, t: 6}?
1/7
What is prob of sequence ppgp when four letters picked without replacement from pggcppgpgp?
1/21
Two letters picked without replacement from {d: 1, u: 1, s: 2, z: 1, y: 2, i: 2}. Give prob of sequence zi.
1/36
Three letters picked without replacement from lcocrctooltoorr. Give prob of sequence tco.
1/91
Two letters picked without replacement from {p: 12, u: 1, w: 1}. What is prob of sequence wu?
1/182
What is prob of sequence at when two letters picked without replacement from accdamdtddwdca?
3/182
Calculate prob of sequence miu when three letters picked without replacement from {u: 1, i: 1, m: 4, t: 1, l: 3, s: 4}.
1/546
What is prob of sequence oou when three letters picked without replacement from {o: 3, u: 1}?
1/4
What is prob of sequence auip when four letters picked without replacement from pinau?
1/120
Two letters picked without replacement from qopxs. Give prob of sequence sq.
1/20
Two letters picked without replacement from qqull. Give prob of sequence lu.
1/10
Calculate prob of sequence fz when two letters picked without replacement from kknlkzbkfflbk.
1/78
What is prob of sequence oom when three letters picked without replacement from oomomm?
3/20
Four letters picked without replacement from gbzbdbbu. Give prob of sequence bzgd.
1/420
Three letters picked without replacement from {r: 1, g: 6, u: 1, h: 3, y: 4, w: 1}. Give prob of sequence rwg.
1/560
What is prob of sequence ovd when three letters picked without replacement from {v: 1, d: 1, w: 7, o: 6}?
1/455
Two letters picked without replacement from oaaoaoaooooopooaaaoa. Give prob of sequence ao.
22/95
Three letters picked without replacement from {v: 4, i: 6}. Give prob of sequence iiv.
1/6
Calculate prob of sequence zfm when three letters picked without replacement from mzmmizmzifizzzziifz.
32/2907
Four letters picked without replacement from fquldluf. Give prob of sequence ldfl.
1/420
Four letters picked without replacement from lftfbttlifltiffbf. Give prob of sequence ttil.
3/2380
Calculate prob of sequence sq when two letters picked without replacement from bqssbzbb.
1/28
What is prob of sequence vk when two letters picked without replacement from vvvvvkvzkzvvvkvvkmd?
22/171
Calculate prob of sequence sggh when four letters picked without replacement from {s: 3, d: 2, k: 3, g: 3, h: 3, p: 1}.
3/1820
Four letters picked without replacement from ikiiiikkiikkiikiiik. What is prob of sequence kiki?
77/1292
Calculate prob of sequence jo when two letters picked without replacement from {j: 5, n: 1, q: 1, x: 4, y: 1, o: 3}.
1/14
Three letters picked without replacement from yyiibybibybbpii. Give prob of sequence bip.
5/546
Three letters picked without replacement from bcbcc. Give prob of sequence bcc.
1/5
Two letters picked without replacement from sjomm. Give prob of sequence jm.
1/10
Two letters picked without replacement from irbrixrbxbxixi. Give prob of sequence rx.
6/91
What is prob of sequence jb when two letters picked without replacement from {m: 1, n: 3, l: 5, j: 3, b: 6, h: 1}?
1 | {
"pile_set_name": "DM Mathematics"
} |
+ v*p + 5 = -9, 0 = -p - 3 for f.
1
Suppose -4*k + j = 4, 6*k + 12 = 2*k + 3*j. Solve -u - 2*d - d = 13, k = -u - 2*d - 8 for u.
2
Let o = -26 - -38. Suppose 3*b - o - 3 = 0. Solve 4*x + 2 = -j - 3, -j + 13 = -b*x for x.
-2
Let j be (-4)/(-12) + 22/6. Solve 2 = -3*f - 4*q + 6, -j*q = -16 for f.
-4
Let s(h) = 3 - 32*h**2 - 4*h + 33*h**2 + 0*h. Let n be s(5). Suppose -3*l + 31 = -3*c + n*c, -2*c + 5*l = 0. Solve -4*f = 4*w - 8, -4*f = -c*w + 3 + 25 for w.
4
Let o(a) = -a**3 - 10*a**2 + 11*a + 2. Let q be o(-11). Solve -5*u = 3*b, 0*b + q*b = 3*u for u.
0
Let x(j) = -1 - 2 + 2*j + 4. Let n be x(3). Solve 3*u - 4*b + n = -14, -4*u + 3*b = 21 for u.
-3
Let i = 2 + 0. Suppose 0*p = 5*p + 4*o + 1, -4 = -p - 5*o. Let q = p + 1. Solve q = -5*b - 2*l + i, -23 = -5*b + 4*l + 3 for b.
2
Let j(o) = 5*o**2 + o - 1. Suppose 0 = -2*c - 1 + 3. Let f be j(c). Let s = f - 3. Solve 8 = -s*x + 4*r, 4*r - 6 = 3*x + 6 for x.
-4
Let y = -10 + 17. Suppose y + 14 = -3*f. Let j = 3 - f. Solve -5*x - 2 = 4*k, -4*x + 1 = -k - j for x.
2
Let r(u) = -u**2 + 3*u + 4. Let n be r(-3). Let k = n + 14. Solve 8 = -2*x, z - x - x - 5 = k for z.
-3
Let x be (54/12)/((-3)/(-4)). Solve x = -3*d, -d - 5 = 5*f + 4*d for f.
1
Let q be 2/7 - (-52)/14. Let c = 0 - -3. Let r be 3*1*5/c. Solve r*j + 14 = -2*b, -2*j + q = -5*b - 2 for j.
-2
Suppose -k + 6 = 2*k. Suppose 0 = k*q - q - 3. Solve -28 = -4*o - o - 2*l, -l = -q*o + 8 for o.
4
Let t = 7 + -3. Suppose 0 = -7*l + 3*l + 12. Suppose -l*v = v - 96. Solve -f - t*f - v = -2*d, 0 = -4*f - 16 for d.
2
Let i(q) = 3*q - 3. Let v be i(-7). Let k be v/32 - (-3)/4. Solve 23 = -2*y + 5*a, k*y - 4*a = 2*y - 4 for y.
-4
Let t be 36/(-90) - ((-14)/10 + -2). Solve 4*m + t*h + 2 + 3 = 0, -m - 4*h - 11 = 0 for m.
1
Suppose -y + 2*y - 12 = 0. Let p = 21 - y. Solve 5*j = -4*r - 17, 4*r - p = 2*j + 9 for j.
-5
Suppose 2*r = -2*r + 32. Solve 2*x = -2*o - 2, 3*x = o - 11 - r for o.
4
Suppose -4*q = 4*c - 80, -3*c + 4*q + 6 + 26 = 0. Solve d - 5*g + c = -d, 0 = 4*d + 2*g + 8 for d.
-3
Suppose 12 = 3*c - 21. Suppose 4 = c*i - 9*i. Solve -4*w + 3*o + 8 = 0, i*w - 3*o - 4 = -0*o for w.
2
Let t be (-14)/(-3) - 2/(-6). Suppose -20*f + 85 = -3*f. Solve 4*b - f*a - 15 = b, t*b = 2*a + 25 for b.
5
Suppose -2*r = -4*m + 26, 5*m - 3*r = -2*r + 34. Let h = 9 - m. Solve -2*z - 4*y = -14, -z - 9 = -4*y + h*y for z.
-1
Suppose d + 8 + 2 = 0. Let z = d + 12. Solve -o - 1 = 6*i - z*i, -2*o = i + 2 for o.
-1
Suppose 5*x + 5*z = 245, -2*x + 3*z = -0*x - 83. Suppose 2*l = -8 + x. Suppose -l = -5*f + 31. Solve -2*b = -3*y + 13, -2*b + 3*y - f = 3*b for b.
1
Let l(y) be the first derivative of 4*y**3/3 + y - 2. Let d(c) = -c + 6. Let a be d(4). Let f be l(a). Solve 4*z = -2*t - 10, -t - 4*z - f = -6*t for t.
1
Suppose -3*k - 36 = 3*q - 6*k, -2*q - 22 = -k. Let h(n) = n**3 + 10*n**2 + 1. Let l be h(q). Solve 2*b = 3*w - 9, 21 + l = -b + 5*w for b.
3
Let u(a) = -a**3 + 4*a**2 - 2*a + 1. Let b be u(3). Suppose -6*w + b*w = 12. Let p = 8 + w. Solve -5*n = -f + 17, -3*f + 5 = -p*f - n for f.
2
Suppose -i - 6 = -5. Let v be 114/30 + i/(-5). Suppose 5 = v*n - 3*n. Solve 10 = 4*x - 6*x + 2*h, -n = 2*x + 3*h for x.
-4
Let u be -15*(-2)/(-3) - -1. Let g = 10 + u. Suppose 4*x = g + 15. Solve -q - y = -2, q - x*y - 8 = -2*y for q.
4
Let v = -39 + 21. Let a be (v/30)/(1/(-5)). Solve -z - 28 = -a*q - 6*z, -q - 24 = -5*z for q.
1
Suppose -2*k + 8 = -2*f, 15 + 1 = 5*k - 4*f. Let x = k - -1. Let w be 0 - (-6)/(2/x). Solve 3 = 3*t + w*s, 4*t = s - 0 - 6 for t.
-1
Suppose -4*p = -3*g + 6, 2*g - p = -3*p + 18. Solve 5*m - 20 = 0, -3*h = -m + g*m - 14 for h.
-2
Let b be -6 + 3 + 4 + 2. Let g = 10 + -8. Solve -b*w = 4*f + 2, 7 = 3*f - 4*w + g*w for f.
1
Suppose 8 - 16 = -y. Solve -5*n + o - 10 = 0, -2*n + 3*n + o + y = 0 for n.
-3
Let d = -6 + 8. Let y = 3 + d. Solve 3*z + 27 = -y*g + g, 0 = -2*z - 10 for g.
-3
Suppose -3*k - 1 = -2*v, -5*v - 3*k + 0*k = -13. Suppose -5*d = 5*q - 10*q + 5, -3 = d. Let r be (q + 8)/(1*2). Solve -g = -t, -r*g = -t + v*g + 4 for t.
-1
Let n be ((-9)/2)/(12/(-8)). Suppose n = 2*h - 1. Solve -3*r + h = 4*m, 0*m = 2*r + m - 3 for r.
2
Let c(x) = -3*x - 15. Let d be c(-8). Let s be d/(-45) + (-1)/(-5). Solve 5*z + s*z + 9 = 2*h, -3*z + 6 = -5*h for z.
-3
Let w = -17 + 21. Suppose -20 = -a - w*a. Solve -2*h - 8 = a*l - 22, -2*h = -2*l - 2 for l.
2
Suppose -p = -4*n + 21, -4*n = p + 3*p - 16. Suppose -15 = n*w - 10*w. Solve v = 5*y - 18, w*y - 5*v - 16 = 8 for y.
3
Let i = 32 + -28. Solve -28 = i*v + 5*o, v = -o - 1 - 5 for v.
-2
Let x(n) = 4 + 2*n - 2*n - n**2 - 5*n. Let d be x(-5). Solve -2*j - 2*j = -2*m, d*j = 4*m + 8 for j.
-2
Let w = -15 + 19. Suppose 0 = h - 3*l - w, l = 3*l. Solve -2*u - 7 = u - z, -h*z = -4 for u.
-2
Let i(c) = c**2 - 3*c - 1. Let a be i(4). Suppose 6*v - a*v = 15. Solve 0*x = 2*x + s + 9, 5*s + 25 = -v*x for x.
-4
Let o = 101 + -97. Solve 4*f - o = -2*c, f + 8 = c + 3*c for f.
0
Let g = -5 - -7. Let y = 10 + 5. Suppose 0 = -7*k + 2*k + y. Solve 2*i = 4*u - 26, 0*i - g*u = -k*i - 23 for i.
-5
Let y = 2 + 0. Let v be (-63)/6*(-2 - -4). Let o be y/(-4) + v/(-6). Solve 5*h + n + 10 = o*h, h = -n - 6 for h.
-4
Let q(n) = 5*n - 7. Let u be q(3). Solve 0*k - 4*k - u = -4*d, -4*d = k + 7 for d.
-1
Suppose 4*j + 0*j - 29 = 3*u, -2*j = u - 7. Let p be (-60)/45*(-18)/4. Solve -3*r + 0*r = 3*n - p, -j*n = -2*r - 3 for r.
1
Suppose 3*l = 3, 5*r - 5*l = -0 + 5. Solve -r*x + 4*g - 10 = 0, 0*x - g + 13 = -4*x for x.
-3
Let y = -43 + 46. Let v = -26 - -46. Solve 0*s + y*s + 22 = -5*u, v = -3*u + 5*s for u.
-5
Let q(h) = h**2 - 6*h + 6. Let m be q(5). Let w be -2*m/(4/(-6)). Suppose 10 = 3*b - b. Solve 5*c = 3*r - b + 14, -c + r = -w for c.
0
Let s be 8/(-36) - (-4)/18. Let x be (-3 + 4 - 2) + 3. Solve s = -x*i, 4*l + 3*i = -0*i + 20 for l.
5
Let g be (24/18)/(1/3). Solve -r - 6 = 3*f, -3 = -3*r + g*r + 2*f for r.
3
Suppose -6*a = -2*a - 16. Solve 0 = -i - 9*g + a*g + 14, i - 2*g = 0 for i.
4
Let p be (-28)/8*24/(-21). Suppose 9 = -t + p*t. Solve 2*m + t = -4*k + 17, 2*k + 23 = 5*m for m.
5
Suppose -5*w = -2*n - 6, 3*w = -3*n + n + 10. Solve -n*z - 18 = -2*k, 3*z - 6*k + 2*k = -31 for z.
-5
Let q = 2 - 0. Suppose 0 = 5*c + q*b - 54, 4*b = -2*c + 2*b + 24. Solve -3*k - 4*s - 6 + 26 = 0, -5*s + c = 0 for k.
4
Let l be (1 + (-8)/(-2))*1. Suppose 0*y + 6 = 2*y. Suppose -30 = -2*o - y*o + 2*d, -3*o = 4*d - 18. Solve -3*w + l*c = -19, o*w = w + 5*c + 15 for w.
-2
Let z = 9 - 4. Solve 2*u - 2*c = 0, 0 = 4*u + z*c - 8 - 19 for u.
3
Suppose c + x = -3 + 13, 0 = 3*x - 15. Suppose -c*r = -3*r - 6. Solve m - 24 = -5*d, m - r*d + 8 = -0*m for m.
4
Let q(a) = -a**3 - 11*a**2 + 28*a + 29. Let m be q(-13). Let j = 3 - 0. Solve m*u - 1 + j = 2*c, 2 = u for c.
4
Let k = 11 + -8. Suppose -b + 6 = 4*t - 13, -k*t = b - 15. Solve -5*c = -t*o - 30, 0 = 5*c - 0*o - 3*o - 25 for c.
2
Suppose -248 = -3*g - g. Suppose 0 = -3*x + x + 2*q + 52, -g = -2*x + 4*q. Solve 8*d - 32 = 4*h + 4*d, 3*h + x = 2*d for h.
-5
Let d be (10 - 0)/(1 + 1). Let m = 7 + 0. Suppose m*z - 2*z = 125. Solve -d*v = a - z, 0*v = 3*a - 5*v + 25 for a.
0
Let n be 1/(2 - (-7)/(-4)). Suppose -3 = -n*m + 17. Suppose m*v - v - 8 = 2*c, 0 = 5*c. Solve -13 = 5*z + 4*u, -v*u - 3*u - 5 = 4*z for z.
-5
Suppose 0 = -3*v - 3*f - 11 + 41, -2*v = -5*f - 13. Let t(z) = z**2 - 2*z**2 - 1 - v*z + 2*z. Let r be t(-6). Solve r*s - o = -2, -3*s - 9 = 5*o - 3*o for s.
-1
Suppose 5*x - 102 = 3. Solve -3*p + 0*a - x = 3*a, 5*p + 3*a = -25 for p.
-2
Suppose 0 = 4*i + i + 5, 3*i + 14 = m. Suppose s + m = 5*y + 2*s, y - s = 1. Solve 0*w + 24 = 4*w - 2*x, 5*w - y*x - 28 = 0 for w.
4
Let z(c) = c**3 + 5*c**2 - 6*c. Let f(t) = -t - 3. Let p be f(-6). Suppose p*n + 24 = -n. Let b be z(n). Solve -2*u = -2*i + 2, b = -u - 0*u - 3 for i.
-2
Let x(z) = -z - 6. Let g(l) = -3*l - 17. Let f(y) = -4*g(y) + 11*x(y). Let u be f(-3). Let k be 1*(0 - u)*1. Solve 3*c + k = -q, 3*q + 12 = -0*q for c.
1
Suppose -2*t = 2*t. Suppose 2*m - 16 - 20 = t. Let s = 4 + -2. Solve 5*v + m = s*k, -2*k - 3*k - 2*v - 13 = 0 for k.
-1
Let l = 36 + -33. Solve -2*t + c + 3*c = -2, 4*t = -l*c + 26 for t.
5
Let r = 36 + -11. Suppose 0 = -b - 5*v + r, 0*b + v = -4*b + 62. Let i = b - 11. Solve -4*q + 20 = -0*q - i*x, -5*x = -q + 21 for q.
1
Let g = -9 + 12. Solve u - 12 = -0*r - | {
"pile_set_name": "DM Mathematics"
} |
.
1/35
What is prob of sequence nd when two letters picked without replacement from {b: 1, c: 2, d: 4, n: 1}?
1/14
Four letters picked without replacement from bwlqrabqllbl. What is prob of sequence bawl?
1/990
What is prob of sequence evvv when four letters picked without replacement from {e: 3, v: 3}?
1/20
Three letters picked without replacement from rmrmaaaammmrarammaar. What is prob of sequence ara?
7/171
Calculate prob of sequence oyq when three letters picked without replacement from yqooqoqqoooyq.
5/143
Two letters picked without replacement from {b: 1, j: 1, r: 1, f: 5, y: 3}. What is prob of sequence yf?
3/22
What is prob of sequence blu when three letters picked without replacement from {b: 2, u: 1, l: 2}?
1/15
What is prob of sequence nnnm when four letters picked without replacement from {n: 1, h: 1, m: 7}?
0
Two letters picked without replacement from lml. Give prob of sequence lm.
1/3
Four letters picked without replacement from {v: 1, k: 3}. Give prob of sequence kkvk.
1/4
Four letters picked without replacement from ttttttftttftftftttt. Give prob of sequence fftt.
35/1292
Calculate prob of sequence dada when four letters picked without replacement from ooaodddadddddoooodo.
1/646
Three letters picked without replacement from {p: 1, h: 5, b: 11}. Give prob of sequence pbb.
11/408
Calculate prob of sequence fi when two letters picked without replacement from fhgci.
1/20
Four letters picked without replacement from bmkbkmmzz. Give prob of sequence bbzm.
1/252
Three letters picked without replacement from xfxffoqxxxxxxfxffufq. What is prob of sequence ffo?
7/1140
Two letters picked without replacement from {r: 4, w: 6, q: 1}. Give prob of sequence rr.
6/55
Two letters picked without replacement from uuuhuuuu. Give prob of sequence uh.
1/8
What is prob of sequence ro when two letters picked without replacement from aogooaraolro?
5/66
Three letters picked without replacement from aprraggs. What is prob of sequence aar?
1/84
Four letters picked without replacement from {y: 2, d: 3, o: 4, u: 6}. Give prob of sequence uood.
3/455
Three letters picked without replacement from bhqbxbbldhbhbqbbbb. Give prob of sequence xhq.
1/816
Calculate prob of sequence ggoo when four letters picked without replacement from {o: 7, g: 6}.
21/286
Two letters picked without replacement from {b: 5, r: 3, u: 4, p: 1, i: 1}. Give prob of sequence ur.
6/91
Two letters picked without replacement from {g: 1, a: 2, k: 4, h: 3, e: 2}. Give prob of sequence eg.
1/66
What is prob of sequence it when two letters picked without replacement from {l: 1, t: 2, i: 2, d: 1, m: 1}?
2/21
What is prob of sequence fg when two letters picked without replacement from pdznfng?
1/42
Two letters picked without replacement from {m: 1, j: 3}. Give prob of sequence mj.
1/4
Four letters picked without replacement from {m: 1, z: 1, i: 4, f: 2, e: 6, l: 1}. What is prob of sequence elim?
1/1365
What is prob of sequence nkn when three letters picked without replacement from {f: 1, n: 2, k: 1, g: 1, b: 1, v: 1}?
1/105
Two letters picked without replacement from {z: 5, w: 6, d: 1, t: 4}. Give prob of sequence zz.
1/12
Calculate prob of sequence bp when two letters picked without replacement from {r: 1, p: 2, g: 7, z: 1, b: 4, u: 2}.
1/34
Two letters picked without replacement from {u: 4, f: 2}. What is prob of sequence uf?
4/15
What is prob of sequence yqy when three letters picked without replacement from ppwwwqwywywydwdmw?
1/680
What is prob of sequence ti when two letters picked without replacement from issqiiitisiqiiisisi?
11/342
What is prob of sequence lllz when four letters picked without replacement from {z: 7, l: 5}?
7/198
Four letters picked without replacement from kukukkku. What is prob of sequence uuku?
1/56
Three letters picked without replacement from {c: 3, w: 3}. What is prob of sequence cwc?
3/20
Calculate prob of sequence sdj when three letters picked without replacement from {s: 2, n: 1, e: 11, d: 1, j: 2, h: 1}.
1/1224
Calculate prob of sequence cc when two letters picked without replacement from xccc.
1/2
Three letters picked without replacement from ffmmmmmmmmummmmmmfmm. Give prob of sequence mum.
2/57
Calculate prob of sequence sd when two letters picked without replacement from {d: 1, s: 1, h: 10, r: 3}.
1/210
What is prob of sequence qqgm when four letters picked without replacement from ggmqmqmqmgmqq?
5/286
Four letters picked without replacement from {g: 9, w: 4, e: 3}. What is prob of sequence gwwe?
27/3640
What is prob of sequence ffxf when four letters picked without replacement from {x: 3, f: 6, p: 4}?
3/143
Calculate prob of sequence oza when three letters picked without replacement from {o: 2, a: 8, x: 1, z: 7}.
7/306
Four letters picked without replacement from {x: 7, c: 6}. Give prob of sequence cccc.
3/143
What is prob of sequence eegf when four letters picked without replacement from {e: 3, f: 1, g: 7, z: 1}?
7/1980
What is prob of sequence ccc when three letters picked without replacement from ccccchhchhhchccchchh?
11/76
Three letters picked without replacement from brnbrnrvsfvrvbv. Give prob of sequence bsr.
2/455
Three letters picked without replacement from fgiiiiiifigllggql. What is prob of sequence qif?
7/2040
Calculate prob of sequence klx when three letters picked without replacement from xlxpllpxjqllk.
5/572
Calculate prob of sequence pp when two letters picked without replacement from {q: 7, p: 4}.
6/55
Four letters picked without replacement from {y: 2, h: 5, l: 2}. What is prob of sequence hyll?
5/756
Two letters picked without replacement from eneeeznnnnwsenenwe. Give prob of sequence ew.
7/153
Calculate prob of sequence yy when two letters picked without replacement from {j: 2, y: 17}.
136/171
What is prob of sequence ass when three letters picked without replacement from {z: 5, b: 7, a: 5, s: 2}?
5/2907
Two letters picked without replacement from ytggwygtyytytlwtlt. What is prob of sequence tt?
5/51
Two letters picked without replacement from eeeeeeeeeeeelleele. Give prob of sequence ll.
1/51
Four letters picked without replacement from sssskksccsccs. What is prob of sequence kccs?
7/715
Four letters picked without replacement from {r: 5, n: 3, g: 4}. Give prob of sequence grrn.
2/99
Calculate prob of sequence gwwp when four letters picked without replacement from pwwwwgwgkg.
1/84
What is prob of sequence ohbb when four letters picked without replacement from {o: 8, b: 2, h: 1, l: 2}?
2/2145
Two letters picked without replacement from {u: 1, p: 7}. What is prob of sequence pp?
3/4
Two letters picked without replacement from xxlxxxxxxbx. Give prob of sequence xb.
9/110
Calculate prob of sequence idw when three letters picked without replacement from wciivwiwcdiiicw.
4/455
Two letters picked without replacement from {y: 2, r: 1, u: 3, m: 1, i: 6}. Give prob of sequence yy.
1/78
Three letters picked without replacement from {i: 4, p: 1, h: 3}. What is prob of sequence pih?
1/28
Calculate prob of sequence aay when three letters picked without replacement from {a: 8, y: 2}.
7/45
Three letters picked without replacement from {j: 6, y: 1, w: 3, q: 3}. Give prob of sequence qjq.
3/143
Two letters picked without replacement from {x: 2, t: 1, g: 2, i: 3, o: 1, q: 8}. What is prob of sequence qo?
1/34
Calculate prob of sequence xcx when three letters picked without replacement from xcxcccjxxjxj.
2/33
Four letters picked without replacement from putyytpytt. What is prob of sequence ypuy?
1/420
Three letters picked without replacement from {q: 2, v: 3}. Give prob of sequence vvq.
1/5
Three letters picked without replacement from {v: 2, k: 1, x: 1}. What is prob of sequence vkv?
1/12
What is prob of sequence li when two letters picked without replacement from spsallsyiaa?
1/55
What is prob of sequence kyy when three letters picked without replacement from ynfknyknkmknrnffkkfk?
7/3420
Two letters picked without replacement from {c: 1, f: 3, e: 4, v: 5}. Give prob of sequence ec.
1/39
Calculate prob of sequence bb when two letters picked without replacement from ccbbcuoccb.
1/15
What is prob of sequence xxx when three letters picked without replacement from {x: 5}?
1
What is prob of sequence ggoo when four letters picked without replacement from ooo | {
"pile_set_name": "DM Mathematics"
} |
p)*(-1 - 2 + 2) - p - 2*p + p + 3*p - 6*p + p)*(4 - 4 - 26*p).
78*p**2
Expand (-146*n + 146*n + 39*n**2)*(1 - 5 + 6 + (-3 + 2 - 1)*(1 - 1 - 1) - 3 + 2 + 3 + 3 - 4 + 3 + 0 + 0 + 2)*(0 + 2*n + 0).
780*n**3
Expand (-4 - 1 + 2)*(-2*w + 3 - 3)*(-271 + 271 + 17*w) - 2 + 2*w**2 + 2 + (5*w**2 - 3*w**2 - 3*w**2)*(1 + 4 - 7) + 4*w**2 - 5*w**2 + 2*w**2.
107*w**2
Expand (-1 + 1 + 2)*(3*h + 1 - 1) + 3 + 2*h - 3 + 13*h + 9 - 9.
21*h
Expand -16*s**3 + s**3 + 4*s**3 + (3 - 3 - 2)*(-s**3 + 4*s**3 - s**3) - 4*s**3 + 5*s**3 + 2*s**3.
-12*s**3
Expand (z - z - 2*z)*(34 - 173 - 61).
400*z
Expand (2 - 2 - 2)*(18 - 177 - 47*o - 196 + 48*o).
-2*o + 710
Expand (-4 + 4 - 2*v**2)*(2*v + 2*v - v) + (-135 + 135 + 46*v**2)*(-v + v - 3*v).
-144*v**3
Expand (5*r**2 - 9*r**2 - 6*r**2)*(r - 42*r - 4*r).
450*r**3
Expand (-102 + 102 + 21*u)*(-2*u**3 + 1 - 1) + (2*u + 0*u - 3*u)*((0*u**2 + 2*u**2 - 4*u**2)*(-3*u + 6*u - 4*u) + 2*u**3 + 2*u**3 - 3*u**3).
-45*u**4
Expand 0 - 5*n**2 + 0 + n**2 - 2*n**2 - n**2 + (1 + 1 - 1)*(-2*n**2 + 2*n**2 - 2*n**2) + (0 + 0 - 1)*(-n**2 - 2*n**2 + n**2 + (-n**2 - 3*n + 3*n)*(-2 + 7 - 3)).
-5*n**2
Expand (12 + 4*y - 12)*(2 + 3 - 3)*(3 - 3 + 2*y)*(-87*y + 13*y - 68*y).
-2272*y**3
Expand (4 - 1 - 4)*(3 - 3 - 4*x) + (-1 + 4 - 2)*(5*x - 4*x + x).
6*x
Expand (1 + 4 - 3)*(-96*p**3 + 366*p - 366*p) + (0*p - 4*p + 2*p)*(4*p**2 + 0*p**2 - 6*p**2).
-188*p**3
Expand (-50 + 16 + 2*c - 13)*(11 + 6 - 7).
20*c - 470
Expand (2*w**3 - 4*w**3 + 3*w**3 + (-6*w**2 + 2*w**2 + 3*w**2)*(-w + 2*w + w) + 131 - 37*w**3 - 131)*(0 - 2*w**2 + 0).
76*w**5
Expand (-2 - 2 + 1)*(160*d**5 + 59*d**2 - 161*d**5 + 67*d**2 + 4).
3*d**5 - 378*d**2 - 12
Expand (-14*k + 2*k - 4*k)*(-8*k + 4*k - 9*k).
208*k**2
Expand (-229 - 107 + 152 - 200)*(-4*q + 3*q + 4*q).
-1152*q
Expand 5 - 5 - 9*r - 3*r + 2*r + 0*r + (2 - 3 - 1)*(-2*r + 3 - 3) - 5*r - 2*r - 7*r.
-20*r
Expand (4 - 1 - 1)*(-2*o + 4*o + 0*o)*(14 + 4 + 25)*((-3*o + o + 4*o)*(-4 - 6 + 4) - o + 1 - 1).
-2236*o**2
Expand (3*x**2 - 3*x**2 + 3*x**2)*(0 + 0 + 4*x + 3).
12*x**3 + 9*x**2
Expand (-113*o - 135 + 135)*(-4 + 4 + 3*o).
-339*o**2
Expand -3*q**3 + 4*q**3 - 4*q**3 + (16*q**2 + 15*q**2 - 10*q**2)*(5*q - 2*q - 4*q).
-24*q**3
Expand (1 + 0 + 1)*(8*a - 4*a + 3*a)*(4*a**3 + 12*a - 12*a).
56*a**4
Expand -5 - 2*o**2 + 5 + 0 + o**2 + 0 + (4*o - 6*o + o)*(-o + 6*o - 3*o) - o + o - o**2 - 1 + 1 + o**2 - 62*o**2 - 61*o**2 + 64*o**2.
-62*o**2
Expand (-1 + 2*q**2 + 1)*(15 + 520*q - 35 + 20).
1040*q**3
Expand ((-5 + 1 + 2)*(0 + 0 - 2*v**3) - 5*v**3 + 0*v**3 + 4*v**3)*(-3*v**2 + 41*v - 66*v + 5 + 21*v).
-9*v**5 - 12*v**4 + 15*v**3
Expand -w + 2 - 2 - 1107 + 1107 + 32*w + (-5*w + w + 3*w)*(0 + 4 - 3).
30*w
Expand (v**2 + 0*v + 0*v)*(-6*v - v + 4*v)*(-51 + 13 - 58).
288*v**3
Expand (-z**4 - z**4 - z**4)*((0 - 1 - 7)*(0*z - 3*z + z) + 3*z - 2*z + 0*z).
-51*z**5
Expand (j + 5*j - 4*j)*(6002 - 6002 + 68*j).
136*j**2
Expand (0*m - 5*m + 3*m)*(-6*m - 77*m - 143*m).
452*m**2
Expand (-d + 2*d - 22*d)*(4 - 5 - 2).
63*d
Expand (-3*n**2 - 2*n**2 + 6*n**2)*(4384*n**3 - 2202*n**3 - 2197*n**3 + 10*n**2).
-15*n**5 + 10*n**4
Expand (13*u + 1 + 24*u + 17*u)*(-16*u**2 - 5*u**2 + 4*u**2).
-918*u**3 - 17*u**2
Expand (-3*h**2 - 15*h + 15*h)*(-105 + 105 - 11*h**3).
33*h**5
Expand (-x - 4*x + 4*x)*(-34*x**2 + 54*x**2 - 39*x**2)*(-x**2 + 3*x**2 - x**2).
19*x**5
Expand -3*j + 3*j + j + 4*j - 5*j + 2*j + (3 + 1 - 2)*(-1 + 2*j + 1) + 36 - 10*j - 14 - 14.
-4*j + 8
Expand (0 - 4 - 2)*(-2 + s**3 + 2) - 2*s**3 - s**3 + 5*s**3 - 10*s**3 + 1 - 1.
-14*s**3
Expand (6*b**2 - 9*b**2 - 12*b**2)*(8*b**2 - 23*b**2 + 12*b**2).
45*b**4
Expand (-131 + 131 + 5*j**2)*(8*j**2 - 54*j**2 + 18*j**2).
-140*j**4
Expand (-o - 2*o - 3*o)*(6 + 0 + 3*o + 5).
-18*o**2 - 66*o
Expand (2*j - j - 2*j)*(-2*j + j + 3*j + (-4 + 4 - 1)*(1 - 1 + j) + 2*j - 6*j - 10*j - 3*j + 2*j + 3*j).
11*j**2
Expand (3 - 2 + 2)*(j + 5*j - 4*j + (-4 - 2 + 3)*(1 - 1 + 2*j)).
-12*j
Expand (3 - 3 + g**2)*(-4*g**3 + g**3 + 0*g**3) - g**5 + 2*g**5 - 2*g**5 + (0*g**2 + 0*g**2 - 2*g**2)*(-2 - 3*g**3 + 2).
2*g**5
Expand (48 - 61 + 37)*(11*k + 3 - 11*k + k**2).
24*k**2 + 72
Expand (19*r - 3*r + 1 + r + (4 - 5 + 0)*(-8*r + 3*r + 2*r))*(-3*r - r + 5*r)*(r**2 + r**2 + 0*r**2).
40*r**4 + 2*r**3
Expand (-2*j**4 - j**4 + 5*j**4)*(3 - 4 - 1) - 1261*j - j**4 + 1315*j - 5*j**4.
-10*j**4 + 54*j
Expand (-2*r + 3*r - 8*r)*(-15*r + 2 + 38*r**2 + 42*r**2 - 82*r**2).
14*r**3 + 105*r**2 - 14*r
Expand 0*q - 2*q + 13 + 4510*q**2 + q**4 - 4499*q**2 + (-q**2 - q**2 + 0*q**2)*(q**2 - 3*q**2 + q**2).
3*q**4 + 11*q**2 - 2*q + 13
Expand (-317 + 293 + 434)*(2*h**3 + 4*h + h**3 + 2*h**2 - 3*h).
1230*h**3 + 820*h**2 + 410*h
Expand (-i**2 - 4 + 4)*(-i + 2*i + i) + (3 - 7 + 16)*(-3 + 3 + 3*i**3).
34*i**3
Expand (5049*z - 47*z**2 - 5049*z)*(0 - z + 0)*(2 + 2 - 5).
-47*z**3
Expand (175*d + 2*d**2 - 175*d + 28)*(-1 + 2 + 4).
10*d**2 + 140
Expand (5 + 3 + 9)*(8*o + 28*o**5 - 10*o - 7*o**5).
357*o**5 - 34*o
Expand (i + 1 - 1 + (1 + 1 - 1)*(-2*i - 2*i + 3*i) + 4 - 4 + 2*i + (109*i - 30*i - 26*i)*(-3 + 0 + 0))*(-i**4 + 3*i**3 - 3*i**3).
157*i**5
Expand 4*p - 4*p + 314*p**2 + 16*p**2 + (0 + p + 0)*(p - 2 + 2).
331*p**2
Expand (-3*d + 0*d + 4*d + (2 + 2*d - 2)*(-4 + 4 + 1) - d + 3*d - 3*d + (0*d - d + 6*d)*(5 - 1 - 1))*(1 + 3 - 2).
34*d
Expand (-r + 2*r + r + (-4 - 4 - 1)*(11*r + 3*r - 2*r))*(r**3 - r**3 - 2*r**3).
212*r**4
Expand (3*o + 6 - 6 + (2 - 2 - 2)*(-6*o + o + o))*(2*o - 3 + 3).
22*o**2
Expand (4*g**2 - 94 - 6*g**2 + 38)*(2*g - 3*g + 3*g)*(-g + 3*g - g + 4*g - 2*g - 3*g + (-5 + 4 + 0)*(4*g + 2*g - 5*g) + g - g - 3*g).
16*g**4 + 448*g**2
Expand 56*m**5 - 29*m**5 + 47*m**5 - m**5 - 2*m**2 + 3*m**2 + 0*m**5 + (-m**4 - 3 + 3)*(3*m + m - 6*m).
75*m**5 + m**2
Expand 23*g - 4*g - 13*g + (-2*g + g - 2*g)*(1 + 1 - 1) + 1 - 2*g - 1.
g
Expand (2*c - c - 4*c)*((-2*c**2 + 2*c - 2*c)*(-2 - 2 + 6) + 2*c**2 - 4*c**2 + 0*c**2) + (0*c**2 - 4*c**2 - 2*c**2)*(-4 + 4 + 2*c).
6*c**3
Expand -y**3 + 13*y**3 - 3*y**3 + (-y + 1 - 1)*(0*y**2 + 2*y + 3*y**2 - y**2).
7*y**3 - 2*y**2
Expand (-3*i - 2*i + 6*i)*(-i + 2014 - 4353 + 2050).
-i**2 - 289*i
Expand (0*w + w - 3*w)*(-254*w**3 - 109*w**3 + 396 - 398).
726*w**4 + 4*w
Expand 18*u**5 - 8*u**5 + 13*u**5 + (-37 + 10*u**2 + 37)*(u**3 - u**3 - 2*u**3) + (-1 + 1 - u**2)*(3*u - 3*u + u**3).
2*u**5
Expand 3*l**2 - 7 - 6 + 17 + (5 - 1 + 5)*(-l**2 - l**2 + 5*l**2).
30*l**2 + 4
Expand (-g + 0*g - g)*(-3 + 6 - 1)*(240 + 107 + 204).
-2204*g
Expand (4*b**3 - b**3 - 2*b**3)*(7*b**2 - 4*b**2 + 141 + 157*b - 159*b).
3*b**5 - 2*b**4 + 141*b**3
Expand (5 - 5 + 4)*(10*a**2 + 45*a**2 + 7*a**2 + 32*a**2).
376*a**2
Expand ((2*y - 5*y + 2*y)*(y - 6*y + 3*y) - 4*y**2 + 4*y**2 - y**2 - 2*y + 2*y**2 + 2*y - 28*y + 28*y + 23*y**2)*(29*y - 5*y**2 - 29*y).
-130*y**4
Expand (92 - 39*i - 92)*(-2*i + 2*i - i**2 + (-1 - 2*i + 1)*(0*i + i + i) - i**2 + i**2 - 2*i**2 - 3 - i**2 + 3).
312*i**3
Expand (1 + 2*w - 1)*(-2 + 7 + 3)*(0 + 8 + 6).
224*w
Expand 3*j**2 + 4*j**2 - 18*j**2 + (3*j - j - j)*(j + 2*j - 4*j) - j - 2*j**2 + j.
-14*j**2
Expand (5*g - 5*g + 23*g)*(3 - 5 + 4) + 1 - g - 1 + (-6 + 11 - 7)*(-g + 3*g - g).
43*g
Expand (-4*r - 4 + 11 + 2*r)*(-3 + 3 - 5)*(-4*r + r**2 + 4*r).
10*r**3 - 35*r**2
Expand ((4 - 1 - 5)*(-8*a - a + 4*a) - 2*a + 3*a + 0*a)*(-2*a**4 + 4*a**4 + a**4).
33*a**5
Expand (576 + 598 - 1317)*(0 + 2*y + 0)*(-3 - 3 + 5).
286*y
Expand (-1 - 4 + 4)*(-2*o + 3*o - 2*o) + 3*o + 3 - 3 + (-6 + 1 + 4)*(5*o + 3*o - 2*o).
-2*o
Expand 7560 + 430*t**2 - 7560 + (-2*t + 2*t - 2*t)*(2 - 2 + 2*t) + 0*t**2 - 3*t**2 + t**2 + (0 - 2*t + 0)*(t + t - t).
422*t**2
Expand (40*v + 7*v**2 - 40*v)*((-v - v + 3*v)*(-2*v - v + v) + 2*v - 2*v + v**2)*(-2 - 3 + 2) + (3 - 3 + 2*v)*(2*v**3 + 1 - 1) + v + v**4 - v.
26*v**4
Expand (-26*d**4 - 25*d**4 + d + 1 + 54*d**4)*(-4*d - 2*d + 0*d + 0*d + 0*d - 2*d + 2*d - 4*d + d + (3 - 3 + 2)*(4*d - 3*d - 2*d)).
-33*d**5 - 11*d**2 - 11*d
Expand (4 - 1 - 1)*(6*l + l + 7*l) + (4 - 5 + 3)*(2*l + 3*l - 4*l).
30*l
Expand -8*u**3 + 10*u**3 - 4*u**3 + (2 - 10 + 1)*(0*u**3 - 2*u**3 + 0*u**3).
12*u**3
Expand (-24*t**2 - 107*t**2 + 26*t**2)*(1 - 1 - t**3).
105*t**5
Expand (-40*k**2 + 4*k**2 - 10*k**2)*(-k**2 + k**2 + k**2).
-46*k**4
Expand -6*f**5 - 2*f**5 + 2*f**5 + (56*f - 4*f**4 - 56*f)*(-1 - 1 + 0)*(4 - 4 - 3*f).
-30*f**5
Expand ((1 - 2 - 1)*(12 - 28 + | {
"pile_set_name": "DM Mathematics"
} |
scending order.
-6, r, 2, 14
Let v = -18 + 27. Suppose -2*i - 3*k - v - 1 = 0, 0 = -3*k. Suppose 2 = 2*h - 0. Put h, 3, i in descending order.
3, h, i
Suppose -4*b - 3 = 5. Let a = 8.17 + -0.17. Let q = a - 7. Sort q, b, 2/3.
b, 2/3, q
Let m = -611.4 + 611.4. Let a be ((-6)/14)/(3/(-2)). Sort a, 0.3, m, 3 in increasing order.
m, a, 0.3, 3
Suppose 0*l + 3*m - 15 = 3*l, 5*l = -2*m + 10. Suppose 12 = -5*h - 18. Sort -9, l, h in decreasing order.
l, h, -9
Let b = 36 - 34. Suppose -2*o + b = -8. Put 4, -5, o in ascending order.
-5, 4, o
Suppose 43 - 85 = -7*n. Suppose 2*l = n*l + 8. Put -1, l, 2, -5 in decreasing order.
2, -1, l, -5
Let f = -2419 - -2418. Sort -2/11, f, 1/2, -3.
-3, f, -2/11, 1/2
Let o be -2 + (-5)/(70/32). Let g(j) = -j**2 + 13. Let k be g(-3). Let y = k + o. Sort y, 5, 1.
y, 1, 5
Let x = -491 + 490. Sort x, -2/3, -0.8, -1/3 in descending order.
-1/3, -2/3, -0.8, x
Let d = -1 + 0. Suppose 2*j = 5*j + 9. Suppose -2*a = 3*i, 0*a - 5*a = 15. Put j, i, d in descending order.
i, d, j
Let x(h) = h - 1. Let i be x(0). Let m = -46 + 51. Suppose -s = -4*z + 18 - 3, 3*z = m*s - 10. Sort 1, s, i in descending order.
s, 1, i
Let y = 80.94 - 81. Sort 2/13, y, -5.
-5, y, 2/13
Suppose 7 - 15 = -s. Let r be s*(-1)/(-2) - 5. Sort -4, r, 0, 2 in ascending order.
-4, r, 0, 2
Suppose 61 + 53 = -4*b + 2*a, -27 = 2*b + 5*a. Let j = 30 + b. Let n be 2/(-4)*0/(-2). Put n, 3, j in decreasing order.
j, 3, n
Let n be 2 - 2/((-32)/(-24)). Suppose 0 = 5*a + 3 + 2. Let q = 1.1 + -0.1. Sort n, q, a in descending order.
q, n, a
Let k(c) = -c + 4. Suppose -x = 5*y + 2 - 0, 0 = -3*y - 3. Let s be k(x). Let j = -785 - -779. Put j, s, 4 in decreasing order.
4, s, j
Let a(r) = 75*r + 975. Let q be a(-13). Sort 0.2, 2, -1.6, q.
-1.6, q, 0.2, 2
Let b(z) = 2*z**3 + 8*z**2 + 3*z - 6. Let r be b(-3). Sort -3, 38, r, -5.
-5, -3, r, 38
Suppose -3*i - 16 = -4, 2*t - 4*i = 30. Suppose -2*r - 2*r + 11 = 3*q, -3*r - 3*q = -12. Let m be (0 + r)/(3/15). Put m, t, 4 in decreasing order.
t, 4, m
Let y be ((-2)/3)/(170/51). Let b = -6 + 3. Let w be 240/(-18) + (-1)/b. Put w, y, -3 in decreasing order.
y, -3, w
Let z(c) = 32*c + 192. Let g(n) = -11*n - 64. Let a(i) = -14*g(i) - 5*z(i). Let u be a(-10). Sort 13, 5, u in decreasing order.
13, 5, u
Let t(s) = -s**3 - 6*s**2 + s + 4. Let w be t(-6). Sort 26, w, -5 in ascending order.
-5, w, 26
Let v = -81 - -971/12. Let d = v + 1/3. Sort 3, 2/5, d.
d, 2/5, 3
Let h = -1275.8 + 1276. Sort -1/3, h, -5/21 in descending order.
h, -5/21, -1/3
Suppose -9*g + 10 + 8 = 0. Put -14, g, 5, -8 in decreasing order.
5, g, -8, -14
Let v(j) be the third derivative of -j**4/24 - 7*j**3/3 - 19*j**2. Let u be v(-6). Sort -0.2, 5, u in decreasing order.
5, -0.2, u
Let j = 68 + -65. Sort 4, j, -4, 1 in descending order.
4, j, 1, -4
Let a = 1/396 + 263/396. Let s = -4.98 + -0.02. Sort a, s, -4/5, -2 in increasing order.
s, -2, -4/5, a
Let s be (3 + -3 - 4)*-1. Let c = 70 + -48. Sort 1, s, -4, c in descending order.
c, s, 1, -4
Suppose -8*w + 12*w = -36. Let b = 18 - 11. Let y = b + w. Sort 2/7, 6, y in descending order.
6, 2/7, y
Let k = -536.938 + 537. Sort -5, -1, 0.4, k in decreasing order.
0.4, k, -1, -5
Let b be (-30)/(-9)*(-66)/(-55). Let r(n) = n**3 + 5*n**2 - n + 1. Let i be r(-5). Suppose -i = -2*s + 5*s. Sort -3, b, s in descending order.
b, s, -3
Let z be 6*(-1)/4*8/14. Put -0.5, -0.16, z, 4 in descending order.
4, -0.16, -0.5, z
Suppose 3*q = -5*u + 70, -12 = 2*q - 3*q + 4*u. Let i = q + -23. Sort 5, -4, 2, i in increasing order.
-4, i, 2, 5
Let m be (-23)/5 - (-3 - 1). Sort m, -2, -1.
-2, -1, m
Let y be (-7)/(-4) - 1/1. Let x = -33715/4 + 8429. Put -0.6, y, x in increasing order.
-0.6, x, y
Let p(v) = v**3 - v + 2. Let t be p(0). Suppose -2*i + 4*j = -10, -77*j + 73*j + 15 = 3*i. Sort i, -3, 3, t.
-3, t, 3, i
Let n be 6 - (-8)/(-4)*2. Let v(g) = -g**3 + 13*g**2 + 2*g - 16. Let d be v(13). Sort n, -5, d in decreasing order.
d, n, -5
Let g be (-15)/(-2)*((-52)/(-20) - 1). Let d = -9 - -3. Let y be (-18)/4 - d/g. Put -2, y, 2 in increasing order.
y, -2, 2
Let y(g) = g**2 + 12*g - 2. Suppose 36 = -4*z + z - m, -5*z = m + 60. Let j be y(z). Put j, -4, 2 in decreasing order.
2, j, -4
Suppose -2*w + 5*x = 3 + 20, 5*x - 27 = -2*w. Sort -3, 2, w, 0 in ascending order.
-3, 0, w, 2
Let h = -159/4 - -40. Let y = 12 + -7. Let t = y - 6. Sort h, t, -5.
-5, t, h
Let q = -14 - -9. Let z = 91.9 + -99. Let i = z + 7. Put q, i, 1/6 in descending order.
1/6, i, q
Suppose -t + 0 = -3. Let h = -2.053 + 2.253. Sort t, h, -4 in decreasing order.
t, h, -4
Let m(w) = w**3 - w**2 - 3*w + 1. Let c be m(3). Let g be -7 + c - ((-116)/(-9))/4. Sort 5, g, -29 in descending order.
5, g, -29
Let a(l) = l**3 + 10*l**2 + l + 14. Let o be a(-10). Let f be 6/(-4)*(-8)/(-12). Put o, f, 5 in increasing order.
f, o, 5
Let m(p) = -2*p - 7. Let r be m(-5). Let q(j) = -j - 1. Let i be q(-1). Sort r, 10, i in descending order.
10, r, i
Let f = -13 - -8. Let y = -5 - f. Suppose w - 3*z - 2 = -y*w, -5*w - z = -26. Sort -5, w, -4 in increasing order.
-5, -4, w
Let z = -57.2 - -60.2. Put -0.5, 2, z in increasing order.
-0.5, 2, z
Let v = 1 + 8. Let m = -13 + v. Suppose 6*x = 4*x + s + 12, 0 = -5*x - 2*s + 12. Sort x, m, 0 in ascending order.
m, 0, x
Let s(c) = 3*c**2 - 6*c**2 + 0*c**2 + 57 - 54 - 10*c. Let x be s(-4). Sort 10, -1, x.
x, -1, 10
Suppose -g + 26 = -30. Suppose -81 + g = -5*d. Put 1, -3, d, 0 in decreasing order.
d, 1, 0, -3
Let o = 321 + -321.4. Put -1/5, 1.18, 0, o in increasing order.
o, -1/5, 0, 1.18
Let z = 0.45 + -0.05. Let m = -379 - -377. Sort z, 9, m in descending order.
9, z, m
Suppose 0 = -91*c + 69*c + 44. Sort 3, c, 63, -3 in decreasing order.
63, 3, c, -3
Let a = 14 + -14.2. Let k be (8 - 14)/(6/(-4)). Suppose 0 = 3*g - k + 1. Sort a, g, -4/3.
-4/3, a, g
Suppose -2*z - 24 = 4*v, -9*v = -8*v - 4*z - 3. Put 0.5, 23, -3, v in ascending order.
v, -3, 0.5, 23
Let k = 196 + -200. Put k, 59, -5 in ascending order.
-5, k, 59
Suppose -7*u - 4*i = -4*u - 6, 0 = -4*i. Let k(s) = s**2 - 6*s + 3. Let y be k(6). Sort y, 5, u.
u, y, 5
Suppose -3*m - 6 = 0, 2*k - 2*m - 79 = 31. Let s = -51 + k. Sort -2, -6, s in increasing order.
-6, -2, s
Let m = 140/1791 + -9865808/12537. Let u = 26399/35 + m. Let x = u - -32. Sort -3, x, 1/2 in descending order.
1/2, x, -3
Let x = -12473/42 + 297. Let r = 5/14 - x. Sort 3, -5, r in increasing order.
-5, r, 3
Let i = -107 - -104. Let y(p) = p + 10. Let z be y(-7). Suppose 4*s = 3*u - 14, 5*u + 3*s = z + 1. Put i, u, -2 in decreasing order.
u, -2, i
Let j = -0.078 + 2.078. Let h = -123 - -110. Sort j, h, -1.
h, -1, j
Let m be ((-1)/(-2))/(11/4). Let i = 94 - 1408/15. Suppose 0*c + 15 = 3*c. Sort c, m, i in descending order.
c, m, i
Let v = 750 + -748. Sort v, -7, -3, 1 in increasing order.
-7, -3, 1, v
Let u = -1151 - -1146. Sort 4, -3, u, 24 in descending order.
24, 4, -3, u
Let f = -14.1146 - -0.1146. Let l = 0.08 - -0.22. Put f, 0, l in ascending order.
f, 0, l
Let d = 3 - -2. Let q = 0 - -0.2. Let t = 534 - 533.6. Sort t, d, q.
q, t, d
Let v be 259/(-102) - (4 - 7). Let u = v - -2/51. Suppose 0 = 3*d + 4*g + 35 - 6, 5*d - 5 = 4*g. Sort d, -0.2, u.
d, -0.2, u
Let k = 0.3 - 0.1. Let v = -2.89 - 2.11. Sort v, k, -2/9.
v, -2/9, k
Suppose -2*k + 5 = 11. Put k, 5, -2, -4 in decreasing order.
5, -2, k, -4
Suppose -u = 4*k - 4, 2*k = 3*u - 7 - 5. Suppose -3*d + 0*m - m - 5 = k, 0 = -3*d - 2*m - 7. Let p be d + ((-16)/12)/(-4). Sort 3/7, 1, p in decreasing order.
1, 3/7, p
Suppose -6*q = -7*q - 2*d + 5, 0 = 2*q - d + 5. Sort -3, 118, q.
-3, q, 118
Let l = 0.1212 - 0.0212. Put 2, l, -5, -1 in decreasing order.
2, l, -1, -5
Let y = 1729 + -55329/32. Put y, 0.3, -1/7 in descending order.
0.3, y, -1/7
Suppose -20*f + 33*f = 26. Put f, 7, -1, -4 in ascending order.
-4, -1, f, 7
Let i be 3/15 - 38/40. Let n be 36/(-10) + (-12)/(-20). Put i, -5, n in ascending order.
-5, n, i
Let t be ((-96)/(-72))/((-1)/(1*-3)). Let l be -4*((-10)/(-2) - t). Sort 3, 12, l in descending order.
12, 3, l
Let y(z) = z**3 - 18*z**2 + 17*z + 3. Let k be y(17). Suppose 53 = -4*p - k*o + 9, -4 = -2*p + 5*o. Let q = -0.014 + 0.514. Put q, p, 0.2 in decreasing order.
q, 0.2, p
Let v = 1.86 + -1.96. Sort v, -0.5, -1, -2 in decreasing order.
v, -0.5, -1, -2
Let k = 12.6 - -0.4. Let i | {
"pile_set_name": "DM Mathematics"
} |
?
-426*z**2
What is the third derivative of 9*f**3*g**4 + f**3*g**3 + 3*f**3*g**2 - 10*f**3*g - 2*f**2*g + 5*g**5 wrt g?
216*f**3*g + 6*f**3 + 300*g**2
What is the derivative of -o*q**3 + 6*o*q + 13*q**3 - 7 wrt o?
-q**3 + 6*q
Differentiate 7*f**4 + f**2*r**3 + f - 179*r**3 with respect to f.
28*f**3 + 2*f*r**3 + 1
What is the second derivative of 10*a**2*o + 2*a**2 - 6*a*o + 3*a - 9*o wrt a?
20*o + 4
Differentiate -13*g*l**3 + 11*g*l**2 + 71*g - 7*l**4 - 14 with respect to l.
-39*g*l**2 + 22*g*l - 28*l**3
What is the third derivative of -2*i**5 - 182*i**4 - 180*i**2?
-120*i**2 - 4368*i
Find the second derivative of 2*b**3*k - 3*b**3 - 10*b**2*k - b**2 - 2*b*k + 179 wrt b.
12*b*k - 18*b - 20*k - 2
What is the third derivative of 122*t**5 - 28*t**2 - 2*t wrt t?
7320*t**2
Find the third derivative of 50*k**5 + 97*k**3 - 2*k**2 + 435*k - 3 wrt k.
3000*k**2 + 582
What is the derivative of -6645*d - 11740 wrt d?
-6645
What is the first derivative of -129*y**4 + 3*y - 213 wrt y?
-516*y**3 + 3
Find the third derivative of c*f*h**2 - 2*c*h**3 - f*h**3 - f*h**2 + 18*f + 273*h**3 wrt h.
-12*c - 6*f + 1638
What is the second derivative of -12*m**3 + 749*m**2 - 337*m - 1 wrt m?
-72*m + 1498
What is the first derivative of -5092*l**2 - 3569?
-10184*l
Find the third derivative of 865*t**4 + 2*t**2 + 2304*t wrt t.
20760*t
What is the third derivative of 3*c**4*n*p**2 + 4*c**3*n - 3*c**3*p**2 + 6*c**2 + c*n*p**2 + 5*c*n wrt c?
72*c*n*p**2 + 24*n - 18*p**2
What is the third derivative of -1434*g**6 + 461*g**2?
-172080*g**3
What is the first derivative of -c*x**3 - 1286*c*x - 2981*c - 2*x wrt x?
-3*c*x**2 - 1286*c - 2
Find the third derivative of 191*l**3 - 357*l**2 - l.
1146
Find the first derivative of -5*u**4 - 7*u**2 + 100 wrt u.
-20*u**3 - 14*u
Differentiate 2*k**3 + 162*k + 1293 with respect to k.
6*k**2 + 162
Find the third derivative of 2463*n**3 + 31*n**2 - 3*n wrt n.
14778
Find the second derivative of -3*y**3*z**3 + 8*y**3*z + 58*y**2*z**3 + 35*y*z + 3*z wrt z.
-18*y**3*z + 348*y**2*z
What is the first derivative of 13*q**2*x**2 + q**2*x*z - 90*x**3*z + x**3 + 24 wrt z?
q**2*x - 90*x**3
Find the third derivative of -5*h**3*l**3*z**3 - 2*h**3*l*z + 7*h*l**2*z + 2*h*z**6 + 2*l**3*z**2 + 2*l**2*z**2 wrt z.
-30*h**3*l**3 + 240*h*z**3
What is the third derivative of 21*p**4 - 141*p**3 + 2*p**2 + 1768*p?
504*p - 846
What is the first derivative of p**2 - 2791*p - 11286?
2*p - 2791
Differentiate f**2*i**2*o + 8*f**2*i**2 - f**2*i + 290*f*i**2*o - 47*i**2 with respect to o.
f**2*i**2 + 290*f*i**2
What is the first derivative of d**4 + 861*d**2 + 1310 wrt d?
4*d**3 + 1722*d
Find the third derivative of -690*p**3*y**2 - 4*p**3*y - 5*p**2*y**2 - 22*p*y**2 - y**2 wrt p.
-4140*y**2 - 24*y
Find the third derivative of -g**6 + 26*g**5 + 71*g**4 + 33*g**2 + g + 12 wrt g.
-120*g**3 + 1560*g**2 + 1704*g
What is the derivative of 35*o**2*t**3 - 40*o**2*t + 19*t**3 + 23*t**2 wrt o?
70*o*t**3 - 80*o*t
Differentiate -117*c**2*w**2 + c**2*w + c**2 - 2*c*o*w + 297*o with respect to w.
-234*c**2*w + c**2 - 2*c*o
What is the third derivative of -199*f*x**3 + 6*f*x**2 - f*x + 11*f wrt x?
-1194*f
Find the second derivative of 23*s**4 + 16*s**2 + 174*s + 2 wrt s.
276*s**2 + 32
Find the third derivative of 519*l**3*q**3 + l**3*q**2 - 10*l**3*q - 8 wrt q.
3114*l**3
Find the second derivative of -7*t**3*z**2 - 2*t**3*z - t**2*z**2 - 2*t*z**2 + t + 295 wrt t.
-42*t*z**2 - 12*t*z - 2*z**2
Differentiate -65*u**2 + 5*u - 3497.
-130*u + 5
What is the third derivative of 28*a**2*i**3*q**3 - a**2*i**3*q**2 + 12*a**2*q**3 - 2*a*i**3*q**2 - 90*i**3*q**2 wrt q?
168*a**2*i**3 + 72*a**2
Find the third derivative of -139*i**2*y**3 - 34*i**2*y**2 + 3*i**2*y - 2*i*y**6 - i*y**2 wrt y.
-834*i**2 - 240*i*y**3
Differentiate -5*d**3*p**2 - 5*d**3 + 45*d*p**4 - 208 wrt p.
-10*d**3*p + 180*d*p**3
Find the first derivative of 3601*c**4 + 3011.
14404*c**3
Find the second derivative of -10*n**2*q*z**2 + 2*n**2*q - 2*n*q*z**2 + 3*n*q + n*z - 2*q*z**2 wrt n.
-20*q*z**2 + 4*q
What is the second derivative of c**3*d + 2*c**3 - 38*c**2 + 30*c*d + 4*d wrt c?
6*c*d + 12*c - 76
What is the first derivative of -h*n**2 - 9*h*n*x - 2*h*x - 18*h - 65*n**2 - 12*n*x wrt h?
-n**2 - 9*n*x - 2*x - 18
Find the second derivative of 55*w**4 + 10*w**3 - 17*w + 21.
660*w**2 + 60*w
What is the first derivative of 3*p**2 - 120*p + 132?
6*p - 120
Find the third derivative of o**4 - 480*o**3 - 535*o**2.
24*o - 2880
Find the third derivative of 31*a*i**4 - 19*a*i**3 - 13791*a*i**2 wrt i.
744*a*i - 114*a
Find the third derivative of -h*v**3*x + 2*h*v**3 - 6*h*v**2*x - 8*h*v**2 - 2*h - 3861*v**4*x - 3*v**2 + 4*v*x wrt v.
-6*h*x + 12*h - 92664*v*x
Find the third derivative of 617*o**5 + 2*o**4 + o**3 + 23506*o**2.
37020*o**2 + 48*o + 6
What is the second derivative of 5*i**2*o**2*w + 349*i**2*w - 32*i*o**2 - 2*o**2*w + 5*w wrt i?
10*o**2*w + 698*w
What is the second derivative of 110*u**4 - 2*u**2 - 6*u - 43?
1320*u**2 - 4
Find the first derivative of 344*m - 16.
344
What is the first derivative of -23*r**2*t*v + 2*r**2*t + 4*r**2*v - 35*r**2 - r*t*v + r*t wrt v?
-23*r**2*t + 4*r**2 - r*t
What is the second derivative of -838*k**2*s - 1804*k*s wrt k?
-1676*s
Find the third derivative of 6286*s**5 - 2*s**3 - 11*s**2 + 2*s + 63.
377160*s**2 - 12
What is the first derivative of -450*u**3 + 16*u - 12818 wrt u?
-1350*u**2 + 16
Find the second derivative of 3*a**3*m**2 - a**3 - 134*a*m**2 - 27*a*m + 2 wrt m.
6*a**3 - 268*a
What is the first derivative of -63*m**2*o - 17*m**2 + m wrt o?
-63*m**2
What is the derivative of -33*m**3 - 255*m**2*w*z + m*z - 6*w + z + 814 wrt m?
-99*m**2 - 510*m*w*z + z
What is the third derivative of -1274*x**4 + x**2 - 12*x + 28?
-30576*x
Find the second derivative of -85*s**5 - 2*s**3 - 80*s.
-1700*s**3 - 12*s
Find the third derivative of -298*h**3*o + 26*h**2*o + 6*h**2 - 2*o wrt h.
-1788*o
Find the third derivative of -5*f**2*m**4 - 25*f**2*m**3 - 6*f**2*m + f*m**2 - 2*m wrt m.
-120*f**2*m - 150*f**2
What is the third derivative of -1704*f**3 + 405*f**2 wrt f?
-10224
Differentiate 13*j**2*u**3 + 578*j**2*u + 5205*u**3 wrt j.
26*j*u**3 + 1156*j*u
What is the third derivative of -10690*c**4 + 2*c**3 - 3*c**2 - 786*c?
-256560*c + 12
Differentiate 2*h*o*w - 332*h*w + 6*o - w with respect to h.
2*o*w - 332*w
What is the second derivative of m*o**3 + 26*m + 22*o**4 + 4*o**3 - 6*o wrt o?
6*m*o + 264*o**2 + 24*o
Find the second derivative of 9945*a**2 - 14620*a.
19890
Find the first derivative of 3*z**2 - 846*z - 3775.
6*z - 846
What is the third derivative of -555*a**3*b*z**3 + 3*a**3*b*z - 63*a**2*b*z**3 + 3*a**2*b*z + 3*a*b*z**3 + 2*a*z**3 - 2*b*z**2 wrt a?
-3330*b*z**3 + 18*b*z
What is the second derivative of 4*a*n**3 + a*n**2 + 32*a*n + 117*n**3 + 15 wrt n?
24*a*n + 2*a + 702*n
Find the second derivative of 357*j**5 + 58*j.
7140*j**3
What is the third derivative of -13*b**2*f**4 - 64*b**2*f + 38*f**4 - 2*f**2 wrt f?
-312*b**2*f + 912*f
What is the third derivative of -9380*y**6 - 2*y**3 - 1270*y**2 + y?
-1125600*y**3 - 12
What is the second derivative of -3*n*t*w**3 + 4*n*t*w**2 - n*t*w + 2*n*w**2 - t*w + 3*w**3 - 2*w wrt w?
-18*n*t*w + 8*n*t + 4*n + 18*w
What is the second derivative of 19*p*r**4 - 91*p*r**2 - 1591*p*r - 3*p wrt r?
228*p*r**2 - 182*p
Find the third derivative of 6*j**2*p**2*v**3*y + 3*j**2*p*v*y + 7*j**2*v**2 - 17*j*p**2*v**3*y - 6*j*p**2*v**2*y wrt v.
36*j**2*p**2*y - 102*j*p**2*y
Differentiate -14*j**3*t - 4*j**2 + 5*j*t + 10925*t with respect to j.
-42*j**2*t - 8*j + 5*t
Find the second derivative of -5*h**3*l + 2349*h**2*l - 12893*h*l wrt h.
-30*h*l + 4698*l
What is the derivative of -5*w**3 - 5*w - 18?
-15*w**2 - 5
Find the second derivative of -1126*c**2*h**3 - 3*c**2*h + 24*c*h**3 - 102 wrt c.
-2252*h**3 - 6*h
What is the third derivative of 959*h**3 + 2240*h**2?
5754
What is the third derivative of 552*l**3 + 418*l**2 wrt l?
3312
What is the second derivative of 1823*w**3 + w**2 + 4339*w?
10938*w + 2
What is the second derivative of -722*f**4 - 36*f + 1 wrt f?
-8664*f**2
What is the first derivative of -128*q - 71 wrt q?
-128
What is the derivative of -a*w + 346*a - 190*w**2 wrt w?
-a - 380*w
Find the third derivative of -51*c*m**6 - 9*c*m**5 + 3*c*m - 6*m**2 - 103*m wrt m.
-6120* | {
"pile_set_name": "DM Mathematics"
} |
+ -15. Solve -7 = 4*a + 5*y, -21 = -0*a - t*a + 5*y for a.
2
Let j = -3 - -5. Let p = 2 - -1. Let s = 2 - 2. Solve -3*u - 2*u + 5*b + 20 = s, -p*u + j = -b for u.
-1
Let k(p) = -p**3 - 5*p**2 + 10*p + 2. Let a be k(-7). Suppose -5*v + a = 3*q, q - 5 = -0*q. Solve -3*y + 5*y - 3 = v*z, 11 = 3*y + 2*z for y.
3
Suppose -13 + 3 = -5*i. Suppose -d = 4*d + 30. Let j = 10 + d. Solve -j = z, -z - 2 = 5*m + i for m.
0
Let f(p) be the second derivative of -p**5/20 + p**3/6 + 5*p**2/2 + 4*p. Let u be f(0). Solve -k + 6 = -u*r - 5, 0 = -3*k + 4*r for k.
-4
Suppose 0 = -18*p + 13*p. Solve 0 = 4*j - 5*h - 22, p = -h - 1 - 1 for j.
3
Let s be 2 - (6 + 3 - 2). Let p be 0 - s - 0/6. Solve -5*t + 18 = 2*d, p*t - 3*d - 13 - 10 = 0 for t.
4
Let h be 3/(0 - -6 - 3). Let t = -1 + h. Solve y + 0*f + 2*f - 7 = t, 3*y + 4*f = 13 for y.
-1
Let r = 22 + -20. Suppose 0 = 2*k - 3*k. Solve k = -3*j - 2*z, -r = -j + 5*j + 2*z for j.
-2
Let f(j) be the second derivative of 1/12*j**4 + 2*j**2 + 5/6*j**3 + 0 - 4*j. Let i be f(-5). Solve -q - 5*n = 24, -4 = -2*q + 4*n + i for q.
-4
Let x be (19 - 1)*(-6)/(-18). Let h(a) = a + 3 - 3 - 4. Let y be h(x). Solve y*s + 5*z = 27, 2*z - 2 = 4*s + 4 for s.
1
Suppose 3 = -v + 10. Let n = -3 + v. Solve -9 = 4*t - t - n*l, 0 = 3*t + 4*l - 15 for t.
1
Suppose 4*s - 9 - 11 = 0. Solve 0 = 4*i - 3*p - 4 + 19, -25 = -i - s*p for i.
0
Suppose 5*h - 26 = -o, 16 = 2*h + h + o. Let l be 0 + 4 + 24/4. Solve -h*v + 0*v - y - 2 = 0, 2*v + 5*y = -l for v.
0
Let d be (30/(-12))/((-1)/2). Solve -2*z - 18 = -3*g, 5*z - 2*g = -18 - d for z.
-3
Let c(y) = 2*y + 3. Let s be c(3). Suppose -13*d + 20 = -s*d. Solve 0 = -2*n + 3*g + 25, -d*n + 4 + 16 = g for n.
5
Let w(a) = 3*a**3 + a**2. Let o be w(1). Suppose o*m + 2 = 14. Suppose -22*c + 17*c = -30. Solve c*j + u - 5 = 2*j, 4*j = m*u + 17 for j.
2
Let p = -5 + 8. Suppose -2*l = -33 + p. Suppose 0 = -5*y - 2*n + 3*n + l, -2*y - 4*n = -28. Solve 5*o - 4*o = y, -q + o = 3 for q.
1
Let k(m) = m**2 - 11*m + 3. Let l be k(11). Solve r + l*a + 3 = -3*r, r - 2*a - 2 = 0 for r.
0
Let w(o) = 2*o - 2. Suppose k = 4*k - 6. Let p be w(k). Suppose b + p*r = 26, -5*b - r + 3*r + 130 = 0. Solve 6*g = g - 4*d + b, 2*g + 5*d = 24 for g.
2
Suppose -4*v + 8*v = -12. Let y be -78*v/18*2. Solve w + 5*c = -w + 16, 5*c - y = 3*w for w.
-2
Let s be 26/8 - 2/8. Let y(z) = z**2 + 2*z + 3. Let l be y(-2). Suppose -1 = -l*g + 11. Solve g*t + 5 + s = 3*u, 0 = 2*u - 2*t - 6 for u.
4
Let k be (1 - 1) + (-4)/(-1). Suppose 2 = 5*i - b - 6, 6 = k*i - b. Solve h + 2*s - 8 = 0, -3*h = i*h + s - 22 for h.
4
Let z(v) = -v - 8. Let m be z(-10). Suppose -m*r = -0*r - 8. Suppose 25 = r*u + 9. Solve 0 = 4*i + 2*x - 14, -u*i = 4*x + 7 - 15 for i.
5
Suppose -11 - 9 = -4*l. Let p be (2/(-4))/((-2)/12). Suppose -2*w + 18 = w. Solve 3*o - n + p + 5 = 0, -l*o - 2*n = w for o.
-2
Suppose 4*t - 25 = -t. Let w = -6 - -6. Suppose w = -x - 2, k = -4*k + 5*x + 15. Solve 5*a + t*o - 11 = 2*o, 0 = -3*a + o + k for a.
1
Suppose 3 = t - 0*q + q, 3*t + q = 13. Solve -5 = 5*x + t*a, -5*x - 4*a - 17 = -2*a for x.
-5
Suppose -3*w = 3*s - 6, 3*s - 3 - 5 = -4*w. Let f(h) be the second derivative of -7*h**3/6 - h**2 + h. Let r be f(-4). Solve -w*b + 15 = b, -r = -c - 5*b for c.
1
Let l = 2 - -1. Suppose -3*o = 3*m - 3, 3*o + l*m = 4*o - 5. Solve -t + 2*f - 1 = 0, -o*t + 2*f = -3*t - 9 for t.
-5
Suppose 1 = -3*g + 4*s - 3, 0 = s - 4. Suppose 4*r + 0 + 2 = 2*p, -g*r + 7 = -p. Suppose 0 = 2*a - 5*a + 27. Solve 0 = 5*t + y + y + a, -p = -3*y for t.
-3
Let v = -12 + 3. Let y = -6 - v. Let k be ((-1)/(-2))/((-1)/(-6)). Solve y = k*q - 3*p, 0 = -5*q - p + 6 + 5 for q.
2
Suppose -4*g + i + 15 = -10, 3*i + 19 = 4*g. Solve k = -2*d + g, -2*k + 5 = -7*k for d.
4
Let q(x) = x**2 - 2*x - 6. Let l be q(5). Solve -4*s + 7*s + l = 3*a, 0 = 5*s + a - 15 for s.
2
Let m = 17 + -11. Let c = m + -4. Let z = c + 4. Solve 0 = -2*w - 3*s + z, 0*w - s - 12 = -4*w for w.
3
Let c(x) = -2*x**2 + 16*x + 20. Let s be c(9). Solve 3 = k, 5 = 2*i - k + s*k for i.
1
Let t be (2 - 15/6)*-68. Suppose 3*z - s - 4 = 0, z - 4*z + t = 5*s. Solve z = 2*w + a, -w - 4*w - a = -9 for w.
2
Suppose -3*n = 3*d - 0*d + 48, -4*n - 2*d - 54 = 0. Let z = -7 - n. Suppose 3*p = 3*r, 4*r - 5*p - 2 + z = 0. Solve 3*u + 11 = 5*b, -2*u - r*b = -u for u.
-2
Let o(i) be the second derivative of -i**4/12 - 7*i**3/6 - 3*i**2 - i. Let m be o(-5). Solve -4*c - 8 + 28 = -p, 4*p = -m*c for c.
4
Suppose 6*d + 19 = 37. Solve -4*n + 0*n - 15 = -d*l, l - 4 = n for l.
1
Suppose 5*l = 13 + 12. Solve -15 = l*y, -4*o - y - 4 = 3 for o.
-1
Suppose 4*b - 28 = -4*f, 3*f + f - 13 = -b. Let z(u) = 3*u - 5. Let c be z(b). Solve 3*o + 3*k + 35 = 7*k, o - c = -3*k for o.
-5
Let v(l) = -l**3 - 10*l**2 - 10*l - 7. Let u be v(-9). Solve u*g = -n - 14, -2*g + 2*n + 10 = -3*n for g.
-5
Suppose -a = -0*a + 2*m + 2, 0 = 5*a + 5*m. Suppose c = -3*c + 5*j + 35, -3*j + 1 = a*c. Solve 3 = -5*h + 3*q - 1, -5*h - 10 = -c*q for h.
1
Let b = 33 - 29. Solve -5*h = -5*c + 20, b*c + 20 = -4*h - h for h.
-4
Suppose -2*t - 4*d + 4 = 14, 2*t - 11 = 3*d. Solve -n = -4, -2*y - t + 3 = -n for y.
3
Suppose 0 = -5*y + 5, 4*t = 3*t + 4*y - 1. Solve -w + 3*d = -17, 3*w - 2*d - t*d = 35 for w.
5
Suppose -2*h + 4 = -4*r, 5*h - 5 = -3*r + 5. Suppose -h*b + 2 = -b. Suppose b*t - 2 = 4. Solve i - 9 = -5*n + 3*i, t*i = n + 6 for n.
3
Let m = -12 - -27. Solve -3*k = q - 2*q + m, -2*q + 2 = k for q.
3
Let q = -1 + -1. Let f = 0 - q. Solve -j - f*j = -d - 19, 3 = -2*d - j for d.
-4
Let r = 74 + -49. Let s(n) = -n**3 - 4*n**2 + 5*n - 6. Let b be s(-5). Let h = b - -11. Solve -h*u = -5*p + r, -4*p + 5*u + 27 - 5 = 0 for p.
3
Suppose -2*x + 22 = 2*z, 5*z = -4*x - 25 + 74. Let m = -4 + x. Solve 2*r = 2*c, -2*r - m = -3*c - 6 for r.
-4
Suppose 3*w - 30 = 3*y, -w + 2*w - 2*y = 15. Suppose 3*m = -1 + 10. Suppose -5*s = -m*s - 6. Solve 4*z + f = w*f + 8, 5*f = -s*z + 22 for z.
4
Let u = -11 - -7. Let c be u/((-12)/39) + 2. Solve f = 2*z - 6 + 1, -5*f = -c for z.
4
Suppose -3*j + 5*u + 27 = 0, 31 = 4*j - 2*u - 3*u. Let q be (3/2)/((-4)/(-32)). Solve 0 = 3*b + j*l + 4, 3*b - q = 5*b + 5*l for b.
4
Let l be -4 - 0 - 10/(-5). Let f be 6/l*(-40)/30. Solve f*i + 0*i + 10 = 5*q, i = -5 for q.
-2
Suppose 0 = 3*f - 3*s - 27, 0 = s - 3*s - 10. Let v be 18/f - (-10)/(-20). Solve v*m - 29 = 5*t, -4*m - 2*t = m + 5 for m.
1
Suppose 6 = 5*l - 2*s, -l + 3 = -4*s + 3*s. Let c(w) = 4*w - w**2 + 0 - 3 + 10. Let n be c(5). Solve 4*h - a - 19 = l, -n*h + 2*a = -4*h + 12 for h.
5
Let b be ((-1)/2)/(3/(-30)). Suppose -3 = m, 1 = 4*n + b*m + 4. Solve 2*o = 4*s - n*o - 16, 2*s = -4*o + 8 for s.
4
Let j(n) = -n**3 + 7*n**2 + n - 3. Let l be j(7). Solve m + z = -3, -2*m - l*z - 20 = -8 for m.
0
Suppose 21 = 5*t + 4*r, 0 = 3*t - 4*r + 3 - 22. Suppose -t*m - 3*v = -12, -2*m + 3*m - 12 = -3*v. Solve 3*o - 5*u = -m*o + 31, -o - 23 = 5*u for o.
2
Let d be 2/(-8) - (-27)/12. Suppose 8 = -3*s + 2. Let w = s + d. Solve v + 2 = w, v + 12 + 0 = -2*u for u.
-5
Suppose 16 = 5*a + 6. Let t be a/(0 + 2) - 0. Solve 2*m - 2*c + 3*c - 7 = 0, 2*c = m - t for m.
3
Suppose g + 0*g = -5*c + 112, c + 4*g - 11 = 0. Let y = -21 + c. Solve -y*a - 16 = 4*f, -2*f + 4*a + 1 = -1 for f.
-3
Let p = 6 + 0. Suppose 2*w + 20 = p*w. Solve o - 2 = -h - 4, 0 = w*h + o + 14 for h.
-3
Let i = -1 - -7. Suppose -3*l - i = -3*f, -4*f + f - 3*l = -36. Let q = -2 + f. Solve q*j = 4*p - 11, 3*p + 0*j = -2*j - 9 for p.
-1
Suppose 0 = -4*w, -3*t + 4*w + 25 = 2*t. Solve 18 = 5*n + h - 0*h, 0 = -2*n + t*h + 18 for n.
4
Suppose 2*t - 20 = -3*t. Suppose t*r = -3*i + 93, 2*r - 6*r - 2*i = -94. Suppose 2*v + v - 9 = 0. Solve 19 = 3*a + 4*k, 5*a - v*k - r = -2*k for a.
5
Let v = 11 - 0. Let d = -285 + 285. Solve 5*x - 2*i + 27 = d, 3*x - 2*i + 6*i + v = 0 for x.
-5
Let b = -7 - -10. Let l(z) = z**2 - 13*z - 10. Let o be l(14). Suppose -o*k + 3 = -3*k. Solve k*v - 3 = -3*i, -v + b = -i - 0 for i.
-1
Suppose 4*t = -n - 7, 2*n + 2*t = -3*t - 8. Let r be 21*n + (4 - 5). Suppose -r = -3*i - 5. Solve 5*z = 2*q + 17, q - 2*z + 1 = -i for q.
4
Let l = 0 + 0. Suppose -15 = -3*z - l*z. Let d = -1 - -3. Solve -z*q + d = -4*t + 1, -4*t = -4 for q.
1
Let c = 8 + -5. Let o = 3 + c. Suppose -o*q = -4*q - 24. Solve 5*n + q + 4 = -2*f, 2*n = -4*f for f.
2
Let n(v) = 2*v**2 - 6*v + 4. L | {
"pile_set_name": "DM Mathematics"
} |
344*sqrt(3) + 10548
Simplify 5*(sqrt(931) + sqrt(931) + -1 + sqrt(931) - sqrt(931)) + (sqrt(19) - sqrt(76)/sqrt(4)) + -2 + (sqrt(19) - (sqrt(19) - (sqrt(19)*1 + -4))).
-11 + 71*sqrt(19)
Simplify sqrt(68)*2 + 5 + (1 + sqrt(68) + 0 + sqrt(68) + sqrt(68))**2 - (4 + 4 + sqrt(68)*3).
10*sqrt(17) + 610
Simplify (-6*2*sqrt(1100)*1)**2 + sqrt(11) + sqrt(11) + (sqrt(99)*-1)/sqrt(9) + 1 + 3.
sqrt(11) + 158404
Simplify -1*((3*sqrt(171) + 1 - (sqrt(171) + 1*(sqrt(171) + -3)))**2 + -2).
-185 - 24*sqrt(19)
Simplify (4*(sqrt(4752) - (1*sqrt(4752) + sqrt(4752))))/((sqrt(3)*-2 - sqrt(3))*1 + sqrt(60)/sqrt(5)).
48*sqrt(11)
Simplify (-6*((sqrt(875) - sqrt(35))*6)/sqrt(7)*4 + -4)**2.
4608*sqrt(5) + 1658896
Simplify (sqrt(45)/sqrt(5)*2)/sqrt(3) + (sqrt(108)/sqrt(4) - sqrt(24)/(sqrt(8) - (-1*sqrt(8) - sqrt(8))))**2.
2*sqrt(3) + 64/3
Simplify sqrt(80) + sqrt(80) + (2 + sqrt(80) + -1)**2 + (5 + -5*sqrt(80) + sqrt(80))**2.
-144*sqrt(5) + 1386
Simplify (sqrt(525)*-4)/(sqrt(18)/sqrt(6)*-3).
20*sqrt(7)/3
Simplify (sqrt(85) + 3*(sqrt(85) - -2*sqrt(85)) - (-4*sqrt(85)*1 + sqrt(85) - sqrt(85)))/((sqrt(70)/sqrt(7))/sqrt(2)*-2).
-7*sqrt(17)
Simplify ((5 + 6*4*(sqrt(272) + -1 + -1))*4)**2.
-132096*sqrt(17) + 2536336
Simplify 2*(4 + sqrt(475) + 0 + 1 + -4)*-4.
-40*sqrt(19) - 8
Simplify (-1*sqrt(195)/(5*sqrt(5)))/(sqrt(12)/sqrt(4)*-1*-6).
-sqrt(13)/30
Simplify 3 + (-1 + sqrt(13) + ((sqrt(143) + (-2*sqrt(143) - sqrt(143) - sqrt(143)))/sqrt(11))**2)*-2.
-229 - 2*sqrt(13)
Simplify ((sqrt(3888) + sqrt(3888) + (sqrt(3888) - (sqrt(3888) - (-3 + sqrt(3888)*3 + sqrt(3888) + sqrt(3888)))) - sqrt(3888)) + 0 + -2)**2.
-2160*sqrt(3) + 139993
Simplify (sqrt(50) - sqrt(600)/sqrt(300))/sqrt(10) + (sqrt(10)/sqrt(2)*3 - (sqrt(150)/sqrt(3))/sqrt(10)).
14*sqrt(5)/5
Simplify (sqrt(288))**2 + -1 - ((-1*sqrt(2)*-6)**2 + -2).
217
Simplify ((3*sqrt(84))/sqrt(2))/(sqrt(6) - ((sqrt(42) - sqrt(1512))/sqrt(7) + sqrt(6)))*-4 + -4.
-12*sqrt(7)/5 - 4
Simplify ((sqrt(266)/(-1*sqrt(7)))/((sqrt(12)/sqrt(2))/sqrt(3)))**2.
19
Simplify 3*(sqrt(1584)*-1*4 - (2*sqrt(1584) + 4)).
-216*sqrt(11) - 12
Simplify (-3*(sqrt(60) + sqrt(15)))/(4*sqrt(27)) + 1.
-3*sqrt(5)/4 + 1
Simplify (6*(sqrt(132) - 1*sqrt(132)*-1))/((sqrt(96) - (sqrt(96)*-1 + sqrt(96)))/sqrt(8) + 6*(sqrt(12) - sqrt(108))).
-12*sqrt(11)/11
Simplify (5*-1*(-2 + (2*sqrt(448) - sqrt(448)))*-1)**2.
-800*sqrt(7) + 11300
Simplify (3*(sqrt(77) - 2*sqrt(77)*4))/(-6*sqrt(35)/sqrt(5)*5).
7*sqrt(11)/10
Simplify (((sqrt(105) - (-2*sqrt(105) + sqrt(105))*2)/sqrt(5))/(sqrt(112) - 2*-1*sqrt(112)))**2.
3/16
Simplify -1*sqrt(300) + -1 + sqrt(300) + (-4*(-3 + sqrt(300)) - sqrt(300)).
-50*sqrt(3) + 11
Simplify ((sqrt(2057) + 1 + 1 - ((-1 + sqrt(2057))*2 + sqrt(2057) + sqrt(2057))) + 2 + 0)**2.
-396*sqrt(17) + 18549
Simplify ((-1*sqrt(1008) - sqrt(1008))**2 + -3 + sqrt(1008) - (sqrt(1008) - (2 + -2 + sqrt(1008))**2)) + (-3*sqrt(1008) + -4 + sqrt(1008))*-4.
96*sqrt(7) + 5053
Simplify (5*((sqrt(2916) - (sqrt(2916)*-1 + sqrt(2916) + sqrt(2916))) + sqrt(2916) + sqrt(36))/(sqrt(108)*-1 - sqrt(12)))**2.
1875/4
Simplify 1*sqrt(637)*3 + -5 + -2 + sqrt(637).
-7 + 28*sqrt(13)
Simplify (2 + (sqrt(78)/(sqrt(12)/sqrt(6)))/(-5*sqrt(3)*2))**2.
-2*sqrt(13)/5 + 413/100
Simplify 4 + (sqrt(171)/(sqrt(18)/sqrt(2)) - (5 + sqrt(57)/sqrt(3))**2) + (sqrt(57)/(-2*sqrt(3)) - (2 + sqrt(95)/sqrt(5)))**2.
-3*sqrt(19) + 27/4
Simplify -2*(-2 + 1 + sqrt(98)*1 + -3 + -1).
-14*sqrt(2) + 10
Simplify (sqrt(4860) - 2*sqrt(4860))/((sqrt(96)*-1 + sqrt(96) - sqrt(96))/sqrt(8)) + -4 + 4.
9*sqrt(5)
Simplify 2 + (3 + 4*(4 + sqrt(2736)) + sqrt(2736))**2.
2280*sqrt(19) + 68763
Simplify (sqrt(475)*1 - sqrt(19) - (sqrt(38)/sqrt(2) + -3) - (-3 + sqrt(76) + 1 + sqrt(76) + 3))**2.
-4*sqrt(19) + 23
Simplify (sqrt(112)*2 - -2*sqrt(112) - (5 + sqrt(343) + -2*sqrt(343)))**2.
-230*sqrt(7) + 3728
Simplify (-1*sqrt(114)*-5 - (sqrt(114) + (sqrt(114) - sqrt(114)*1 - sqrt(114))*4))/(sqrt(72)/(sqrt(60)/(sqrt(25)/sqrt(5)))).
8*sqrt(19)
Simplify (((sqrt(324) - (sqrt(324) + 1*sqrt(324) + sqrt(324)))/sqrt(12) - sqrt(27))/sqrt(9) + (sqrt(24)/sqrt(8)*-1 - sqrt(3))*-6)**2.
243
Simplify (sqrt(12) + sqrt(12) + sqrt(108) + 4 + (sqrt(12) - (sqrt(12) + (1 + sqrt(12) + sqrt(12))*-5)))**2 + -4 + sqrt(162)/(-2*sqrt(6)).
1077*sqrt(3)/2 + 2777
Simplify ((sqrt(800) + 1 + sqrt(800))*5)**2 + ((sqrt(128)/sqrt(4) + 5)*5)**2.
3000*sqrt(2) + 81450
Simplify 1 + (sqrt(320) + (-2 + sqrt(320))*-5 + (sqrt(320) + sqrt(320)*-1)*4)**2 + -2.
-640*sqrt(5) + 5219
Simplify (4*(sqrt(21) + sqrt(1344)))/(-6*1*sqrt(3)).
-6*sqrt(7)
Simplify (5 + 0 + -6*-2*sqrt(637) + -3*(sqrt(637) - sqrt(637)*-2) + sqrt(637) + sqrt(637))**2.
350*sqrt(13) + 15950
Simplify -3 + (sqrt(2880) + -3)**2 + 5.
-144*sqrt(5) + 2891
Simplify (3*sqrt(45)*3)/((sqrt(882) - sqrt(18))/sqrt(2))*-3.
-9*sqrt(5)/2
Simplify ((sqrt(399)/(sqrt(28)/sqrt(4)) - sqrt(171)/(2*sqrt(3)))/(1*sqrt(192)*5))**2.
19/6400
Simplify (5*(sqrt(825) + sqrt(825)*2) + sqrt(825))/(-5*(-2*sqrt(147) + sqrt(3))) + 3.
3 + 16*sqrt(11)/13
Simplify (-4 + (sqrt(1584)*2 + -5 - sqrt(1584)) + sqrt(1584) + 0 + -4)**2 + 0.
-624*sqrt(11) + 6505
Simplify -5 + -4*((sqrt(343) + (sqrt(343) + 1 - sqrt(343) - sqrt(343)) + -1 + sqrt(343))**2 - (sqrt(343) - (5 + -1 + sqrt(343) + sqrt(343))**2)).
-6929 - 420*sqrt(7)
Simplify (sqrt(242) + 3 + -2 + 5 + 2 + sqrt(242))**2.
352*sqrt(2) + 1032
Simplify (-2*(sqrt(175) - (sqrt(175) - (sqrt(175) + (5*sqrt(175) - sqrt(175)) + sqrt(175)))) + 3*(1 + sqrt(175)))**2 + -5.
-270*sqrt(7) + 14179
Simplify -2*5*(sqrt(4)/sqrt(2))**2 - (3 + sqrt(18))**2*-5.
115 + 90*sqrt(2)
Simplify (1 + 2 + (sqrt(49) + sqrt(49) + sqrt(49) + 5*sqrt(784) + sqrt(49))/(sqrt(7) - -2*sqrt(175)))**2.
144*sqrt(7)/11 + 5121/121
Simplify (-2*2*sqrt(84)*-6)/(sqrt(24)/(sqrt(6)/sqrt(3)) - (sqrt(12) - -2*(sqrt(12) - sqrt(12)*2) - sqrt(12))).
8*sqrt(7)
Simplify (-6*-6*sqrt(128))**2 - (-5 + sqrt(4050)).
-45*sqrt(2) + 165893
Simplify ((sqrt(312)*-4 + sqrt(312) + sqrt(312))/sqrt(8))/(2*(sqrt(3) + (sqrt(48) - sqrt(3)))).
-sqrt(13)/4
Simplify -2*(-4 + -5*((sqrt(684) - sqrt(684)*-3) + sqrt(684) + sqrt(684))).
8 + 360*sqrt(19)
Simplify -1 + -1*sqrt(208) + 3 + -3*(sqrt(13) + sqrt(13) + -5*sqrt(13)*-2)**2*2.
-11230 - 4*sqrt(13)
Simplify ((sqrt(684) + (sqrt(684) - (-4 + 0 + sqrt(684))) - (2*sqrt(684) + 2)) + 4)**2*5.
-360*sqrt(19) + 3600
Simplify (-4 + 5*2*sqrt(567))**2 + 0 + -4.
-720*sqrt(7) + 56712
Simplify (sqrt(1539) - (-5*sqrt(1539) + -2 - sqrt(1539)) - -1*2*sqrt(1539))**2 + -4.
324*sqrt(19) + 124659
Simplify ((sqrt(44) - sqrt(132)/sqrt(3))/sqrt(2))/(sqrt(1584)*3).
0
Simplify -1 + ((2 + sqrt(13) + 4 - sqrt(13)) + sqrt(13))**2 - 4*(1 + sqrt(325)).
-8*sqrt(13) + 44
Simplify 3*((-1*sqrt(192) - sqrt(192)) + -3 - 4*-1*sqrt(192))**2.
-288*sqrt(3) + 2331
Simplify (-4*(sqrt(5200) - (sqrt(5200)*2 + sqrt(5200))))/((sqrt(8) - (sqrt(288) - (sqrt(288) - sqrt(288)*-2)))/sqrt(2)).
80*sqrt(13)/13
Simplify (-3 + sqrt(612) + (sqrt(612) + -4)*-1 + (-1*2*sqrt(612) - (sqrt(612) + sqrt(612) + -3*(-1*sqrt(612) + sqrt(612)))))**2.
-48*sqrt(17) + 9793
Simplify (-1 + 3*-4*(sqrt(192) + (sqrt(192) - (sqrt(192) - (sqrt(192) - (sqrt(192)*1 - sqrt(192)))))))**2.
384*sqrt(3) + 110593
Simplify (5*(-4 + sqrt(1700) + (sqrt(1700) + 0 + sqrt(1700))*-4 + sqrt(1700) + (sqrt(1700) + (sqrt(1700) - (sqrt(1700) + -1)) + sqrt(1700))*-1))**2*3.
60000*sqrt(17) + 8161875
Simplify (sqrt(832) + 1 + -3 + 1*((sqrt(832) - (sqrt(832) + (sqrt(832) - (sqrt(832) + 2 - sqrt(832))))) + sqrt(832)))**2.
832
Simplify (sqrt(343)*3 + 5 + -6*(sqrt(567) + 1) + sqrt(567))**2.
48*sqrt(7) + 4033
Simplify (sqrt(65)*1)/sqrt(5)*-3 - sqrt(104)/((sqrt(32)*1)/sqrt(4)).
-4*sqrt(13)
Simplify sqrt(14)/(-3*sqrt(63)) - (-4 + (sqrt(10)/sqrt(5) + 1)**2).
-19*sqrt(2)/9 + 1
Simplify (-4*((-3 + sqrt(720))*-3 - sqrt(720) - -3*(sqrt(720) + -2)))**2.
-1152*sqrt(5) + 11664
Simplify 1 + (6*(sqrt(54)/sqrt(2))/sqrt(9) + -5 + sqrt(6)/sqrt(2)*-2)**2.
-40*sqrt(3) + 74
Simplify (sqrt(5) - (sqrt(5) - 1*sqrt(5)*6) - (-1 + sqrt(500))) + (sqrt(90)/sqrt(2))**2 + (sqrt(45)*-2)**2.
-4*sqrt(5) + 226
Simplify (6*(sqrt(90) + sqrt(90) + -4*sqrt(90) + sqrt(90)))/((sqrt(20)/sqrt(4) - sqrt(5))*-4 + sqrt(5)).
-18*sqrt(2)
Simplify (-1*sqrt(114)*1 - -6*-1*sqrt(114))/((sqrt(96) - sqrt(6))*-4 + (sqrt(6) + 1*sqrt(6) - sqrt(6))*-5).
7*sqrt(19)/17
Simplify (-1*(-1*sqrt(16)*1 + | {
"pile_set_name": "DM Mathematics"
} |
d*z + 8 = 0. Solve 0 = 5*o + 21 - b for o.
-4
Suppose 3*q + 3*b = b + 13, 4*q - 21 = b. Solve -4*d = -q*d - 3 for d.
-3
Suppose -2 + 0 = g. Let n be 3 + g + 2/1. Solve -n*s = 3 + 6 for s.
-3
Let p(z) = z + 2. Let c be p(0). Let y = c + -1. Let x = y + 4. Solve x*j - 3 - 2 = 0 for j.
1
Let l be (0 + 1)/((-2)/(-2)). Let m = l + -1. Suppose -f + m + 2 = 0. Solve 8 = 2*n + f*n for n.
2
Let z be (10/(-6))/(2/(-6)). Solve 0*n + n = z for n.
5
Let c(b) = -b**3 - b - 1. Let d(k) = 5*k**3 + 3*k**2 - 2*k. Let h(p) = 4*c(p) + d(p). Let t be h(-4). Solve -t = 3*g - g for g.
-2
Suppose -21*n + 16*n = 0. Let i(r) = 2*r + 2. Let s = -8 - -11. Let j be i(s). Solve n*h - j = -2*h for h.
4
Let h be (1 + -5 + 2)*-1. Suppose 6 = 5*k - 4. Suppose j = k*j - h. Solve -6 = j*t - 2 for t.
-2
Let h be (-1)/3*(1 + 2) - -3. Solve 0 = -3*v + 4 + h for v.
2
Suppose -2*m - 2*d = 18, -3 + 9 = 2*d. Let g = -12 - m. Solve -5*z + g*z = -20 for z.
4
Suppose 0 = -0*t - 4*t + 68. Suppose -5*j + 8 = -t. Solve 3*s - 2*s + j = 0 for s.
-5
Suppose -5*p + 13 = -z - 37, -2*p + 28 = -2*z. Suppose 3*l - 3 = p. Solve l*r + 17 + 3 = 0 for r.
-5
Suppose -o = 3*z - 51, -1 = 2*o - 7. Solve 7*l = 3*l - z for l.
-4
Suppose 3*z = -4*g + 2*g + 9, 2*z = 3*g - 7. Solve -2*m = -9 + g for m.
3
Let z be ((-4)/(-2) + -2)/(-2). Let f be (4/18)/(1/9). Solve z*q - 10 = -f*q for q.
5
Suppose -3*d = -2*d. Suppose -w - 4*w + 10 = d. Solve 0 = w*f - 6*f for f.
0
Suppose b + 6 + 4 = 4*s, s = b + 1. Let k(m) = -m**3 + 3*m**2 + 2*m - 3. Let t be k(s). Solve 5*d = -t - 12 for d.
-3
Suppose 0 = -z + 4*p - 2*p, 2*z = 2*p + 4. Solve z*n - 3 = n for n.
1
Let n = -57 - -61. Solve n*w - 4 = -20 for w.
-4
Suppose 3*z - 2*d = 0, 3*d - 17 = -z - 2*d. Solve -y = z*y for y.
0
Suppose 6*z + 55 = z. Let v = -8 - z. Solve -3*o + v = -2*o for o.
3
Suppose -8 = -4*z - 2*i, 0 = z + 3*i - 0 - 2. Solve -z*u - 3 = -u for u.
-3
Let r = 7 + -3. Suppose -r*f + 2 + 10 = 0. Suppose -4*i - 5 = -f*i + d, 5*i = -2*d - 10. Solve z + z = i for z.
0
Let m(k) = -4*k + 1. Let r be m(-1). Solve 10 = -r*g + 3*g for g.
-5
Suppose 4*g = 8 - 0. Suppose 16 = -3*l + q, -g*l + l + 5*q = -4. Let b = -3 - l. Solve -4*r - b = -7 for r.
1
Let d(c) = 0*c + 3*c + 5 + 0*c + c**2 + 3*c. Let b be d(-6). Let z(t) = -t**3 + 3*t**2 - 3*t + 3. Let n be z(2). Solve -4*v + n = b for v.
-1
Suppose 0 = 2*n - 2*p - 16, -4*p = -p + 6. Suppose 0 = -n*j + 4*j + 4. Solve -3*r = 8 - j for r.
-2
Let y be (-24)/132 + (-123)/(-11). Solve 0 = -3*h + 2 - y for h.
-3
Let x(k) be the third derivative of k**4/24 - 7*k**3/6 + k**2. Let g be x(6). Let n = g + 4. Solve n*i = 2*i for i.
0
Suppose -2*y - 3 = 3*g, -5*g + 1 = -4*y - 16. Let z be 2 - (g + 2) - -2. Solve 2 + z = 3*k for k.
1
Let h = 75 + -70. Solve 0 = 2*v - h + 13 for v.
-4
Let p(z) be the third derivative of -3*z**4/8 - 4*z**3/3 + 2*z**2. Let i be p(9). Let r = -62 - i. Solve 12 = 5*d + r for d.
-3
Suppose 4*q - 30 + 10 = 0. Solve f - 2 = -q for f.
-3
Let y = 31 - -25. Suppose -124 = 3*k + k. Let f = k + y. Solve -5*a = -0*a + f for a.
-5
Suppose 0*v + 39 = 4*y - 5*v, -3*y + 5*v + 23 = 0. Suppose 0 = l - 2*l - y. Let x = 31 + l. Solve -f - x = 4*f for f.
-3
Let s = -11 + 12. Solve -o - s = 1 for o.
-2
Let t = -32 + 34. Let o(n) = n + 7. Let z be o(-5). Solve 2*r = -z - t for r.
-2
Let w be ((-1)/5)/((-3)/15). Suppose 3*d - 8 = 2*d - 5*g, d - 4*g + w = 0. Solve 2*z + d*z = 10 for z.
2
Let z = -26 - -16. Let d = -8 - z. Solve -3*k + 1 = -d*k for k.
1
Let z(b) = 2 - 2*b + 15*b**3 + 6*b**3 - 20*b**3 + 3*b**2. Let a be z(-3). Solve s - a = -s for s.
4
Let w = -2 - -4. Let h(f) = -f - 3. Let g be h(-6). Let u = w + g. Solve m = 2*m - u for m.
5
Let q = 8 + -8. Solve -3*r + 0*r + 15 = q for r.
5
Let b be (-18)/(-4) + 3/(-2). Solve -b*c = -2*c for c.
0
Suppose u - 5*i = -3*i + 8, 5*i + 5 = -5*u. Suppose 4*n - n - 64 = 4*a, -n + u*a = -24. Solve 6 = -2*h + n for h.
5
Suppose -5*a + 1 = -14. Suppose 0 = 4*z + z. Solve a = n - z*n for n.
3
Suppose -6*q + 5*q + 5*a = 10, 5*a = 15. Solve -h - 4*h - q = 0 for h.
-1
Suppose 0*w = -w + 1. Solve w = -3*l + 13 for l.
4
Suppose 5*g + 4*p = 110, 0 = 4*g + 2*p - 0*p - 82. Suppose -4*c - 2 = -g. Solve -v - 15 = c*v for v.
-3
Let y(v) = -v**3 - 15*v**2 + 15*v - 16. Let z be y(-16). Solve -6 = -2*m - z for m.
3
Let y(j) = -j**2 - 2*j + 1. Let s be y(-2). Solve -s = 4*z + 3 for z.
-1
Suppose -3*q + 4*q - a = -4, -3*a + 4 = q. Let j be 4 - (-6 - (q - -4)). Solve 2*r + r + j = 0 for r.
-4
Suppose -12 = -4*i, g = 3*i + 7 - 36. Let d = -10 - g. Solve 3*v + 1 - d = 0 for v.
3
Suppose -4*i + 8 = 2*m, -3*i = 3*m - 0 - 12. Solve i = x + 2 - 1 for x.
-1
Let s(z) = -3*z - 3. Let k = -9 + 6. Let t be s(k). Solve 2*w - t = 4 for w.
5
Suppose -5*n + 2 + 17 = 3*q, 4*q - 3*n + 23 = 0. Let i be (1 - q)*1*3. Solve 11 + i = 4*l for l.
5
Suppose 3*t = 2*d + 2*t - 1, 3*d + 6 = 3*t. Suppose 2*a = -d*a + 5*k - 5, -3 = -5*a + 3*k. Solve -a - 3 = 3*l for l.
-2
Suppose 5 = z + 5*o, 5*z - 5*o + 10 = 35. Solve -z*d + 20 = -d for d.
5
Suppose 5*i = -h + 20, -3*i - 2*h + 19 = -0*h. Solve -i*w = 1 - 4 for w.
1
Let b(y) = -y - 5. Suppose 3*m + 5 = 2*m. Let i be b(m). Let c(d) = d**3 - 2*d**2 - 2*d - 3. Let p be c(3). Solve i*n - n - 5 = p for n.
-5
Let j = 116 - 101. Solve -j = 4*g - 7*g for g.
5
Suppose -38*i + 54 = -29*i. Solve z + i = -z for z.
-3
Let t be ((-42)/(-15))/(4/10). Suppose 4*j - 1 - 5 = 2*s, 0 = 4*j + 4. Let b = s + t. Solve 15 = -b*k - 3*k for k.
-3
Let o be (-106)/10 - (-8)/(-20). Let r = -11 - o. Solve 4 = p - r*p for p.
4
Let z(a) = a**2 + 2*a - 15. Let u be z(3). Suppose -s + 15 = 4*s. Solve u = 2*q + s*q for q.
0
Let d(p) = -p**3 + 3*p**2 + p. Let y be d(3). Let m = y + 11. Solve -2*z = 4 - m for z.
5
Let z = 33 + -25. Solve -4*s = -0*s - z for s.
2
Let q = 14 + -23. Let i(g) = -g**2 - 9*g - 6. Let x be i(q). Let r = x - -8. Solve 2*y + 8 = -r for y.
-5
Let f(h) = h**2 - 2*h - 19. Let q be f(6). Suppose -4*w + 4*z = -88, -3*z + 16 = w + 2. Solve 5*v + q = -w for v.
-5
Suppose 5*u - 10 + 30 = 0, -4*s + 20 = 5*u. Suppose -2*x - 2 + 8 = c, s = -5*x. Suppose -4*l + 22 = 5*z - c, z - 10 = l. Solve -z = -5*t + 2 for t.
2
Suppose -5*j = -2*q - 20 - 6, -22 = -4*j + q. Let d be j + (-4)/6*3. Solve 8*z - d*z = -4 for z.
-1
Suppose 0 = -5*x + 5 + 5. Let l be (-5 + x)*(-1 - 0). Suppose -1 - 5 = 2*v, 0 = 2*y - 4*v - 16. Solve -y - 1 = -l*m for m.
1
Let t = -42 - -45. Solve s - 4*s = t for s.
-1
Suppose 0 = -2*t - 2*t + 20. Solve 0 = 2*o - t*o + 6 for o.
2
Suppose 13*w + 20 = 17*w. Suppose -6*a = -2*a, 5*z - 15 = -w*a. Solve -z*d = -5*d for d.
0
Suppose 15*a - 20 = 5*a. Solve -3*z - a - 1 = 0 for z.
-1
Let y = 6 - 3. Let d(j) = -j**3 + 7*j**2 - 9*j. Let s be d(6). Let z = 24 + s. Solve -z = y*t + 9 for t.
-5
Let d = -7 + 14. Let i = d + 1. Let l = 9 + -4. Solve l*j = j - i for j.
-2
Let y(z) = z**2 - 10*z + 7. Let x be -4*((4 - 2) + -4). Let c be y(x). Let l = 13 + c. Solve -l*n - 2 = -6*n for n.
1
Suppose 0*t = -2*t. Solve -s + t = -4 for s.
4
Suppose -2 + 1 = -f. Let c(q) = 5*q**3 - 2*q + 1. Let t be c(f). Solve 0 = 4*z - t - 16 for z.
5
Let p = 1 + 4. Solve -p*b = 13 - 3 for b.
-2
Let r = 30 - 28. Solve -g = g - r for g.
1
Let g(n) = -n + 9. Let s be g(6). Let b(h) = -h**2 + 3*h + 1. Let v be b(s). Solve y - 1 = v for y.
2
Let b be (-1)/(51/(-99) - 6/(-33)). Solve b*z = -9 - 0 for z.
-3
Suppose -4*z + 12 = -z. Suppose 1 + 11 = z*d. Suppose -w + 3*w - 3 = -d*r, -w = r - 2. Solve 0 = -a + 5 - w for a.
2
Suppose 4*h = 3*i, -2*i + 3 = -h - 2. Suppose -i = -4*p + 56. Solve 5 + p = 4*x for x.
5
Let w(q) = -q. Let j be w(-4). Solve j*c - c = 12 for c.
4
Let y = 13 - 7. Let p be 0/2 + y/2. Suppose -7*k = -p*k - 12. Solve -k*s + 3 = -0*s for s.
1
Let m = 0 - 0. Suppose -4*w + 10 = -6. Let t(h) = -h**3 + 5*h**2 - 3*h. Let j be t(w). Solve -4*y + j = -m for y.
1
Let l be (-4)/18 - 1790/45. Let z be (-430)/l + 2/8. Solve z + 9 = -4*h for h.
-5
Let q(x) be the second derivative of x**3/6 - 3*x. Let a be q(0). Solve a = -s + 3*s for s.
0
Let s(v) = 3 - 3 + v - 2. Let p be s(4). Solve -3*i - 14 + p = 0 for i.
-4
Let y(s) = -6*s. Let b be y(4). Let i be 120/18*b/(-10). Solve i = -5*v + v for v.
-4
Suppose 0 + 1 = -x. Let r be (0 + x - 0)*-3. Let j = 20 - r. Solve -5*n + j + 3 = 0 for n.
4
Let h = -1 - -24. Solve -h + 3 = 5*b for | {
"pile_set_name": "DM Mathematics"
} |
lculate the remainder when n is divided by (-2)/(7/9 + -1).
8
Calculate the remainder when 32 + (-3)/((-12)/(-4)) is divided by 17.
14
Suppose 2*g + 52 - 124 = 0. What is the remainder when g is divided by 5?
1
Suppose 5*f + w = 261, -5*f + 22 = -w - 237. Calculate the remainder when f is divided by 18.
16
Suppose -s + 150 = -0*a + 3*a, -5*s + 674 = -4*a. Calculate the remainder when s is divided by 35.
33
What is the remainder when (8/10)/(1/135) is divided by (74 + 0)*(2 + (-9)/6)?
34
Suppose 0 = v + 2*v + 2*n - 46, -76 = -4*v + n. Calculate the remainder when 35 is divided by v.
17
Let m(n) = n**3 + 8*n**2 - 11*n - 15. Calculate the remainder when 3 is divided by m(-9).
0
Let o(k) = k**3 - 9*k**2 - 4*k + 9. Calculate the remainder when o(10) is divided by 12.
9
Suppose -4*t + 0*t = -4*o - 200, -t = -4*o - 56. What is the remainder when t is divided by 13?
9
Calculate the remainder when ((-99)/(-12))/((-5)/(-20)) is divided by 5.
3
Let p(x) = x**3 - 7*x**2 + 4*x + 8. Let d be p(6). Calculate the remainder when 18 is divided by (10/3)/(d/(-6)).
3
Let s(j) = 22*j**2 - 2*j - 4. Let w = 10 - 12. What is the remainder when s(w) is divided by 30?
28
Suppose 12*n - 6*n - 48 = 0. Calculate the remainder when 45 is divided by n.
5
Let j(o) = -o**2 - 2*o. Let p be j(4). Suppose -7*t = -3*t + 140. Let g = p - t. What is the remainder when 31 is divided by g?
9
Let n = 145 - 85. Calculate the remainder when n is divided by 8.
4
Suppose -2*g + 2 + 2 = 0. Suppose -g = 2*z + 5*d, -2*z + z = 5*d + 11. Calculate the remainder when z is divided by 5.
4
Suppose 5*u = 2*u + 3*j + 144, 56 = u - 5*j. Calculate the remainder when u is divided by 12.
10
Let k = 13 - 3. What is the remainder when 2*29/4*2 is divided by k?
9
Suppose 0 = k - 5 + 1. Let h(b) = -2*b + 14. Let w be h(6). Suppose c - w = -g, g - 4*c + 3*c - 10 = 0. What is the remainder when g is divided by k?
2
Let n(d) = d**3 - d**2 + d + 3. Let m be n(0). Suppose w - 11 = y, 2*w = -m*y - y + 52. Calculate the remainder when 46 is divided by w.
14
Let x(p) = -p**3 + 4*p**2 + 4*p + 1. What is the remainder when x(4) is divided by 6?
5
Let a be 36/(-2)*50/(-6). What is the remainder when ((-6)/18)/((-2)/a) is divided by 13?
12
Suppose 2*i = 4*i - 56. Let d be 0/(-2 + (-12)/(-3)). Suppose 5*c - 29 - 46 = d. Calculate the remainder when i is divided by c.
13
Let h(s) = 8*s - 7. Let k(p) = -p - 3. Calculate the remainder when h(2) is divided by k(-6).
0
Calculate the remainder when 4/3 - (-246)/18 is divided by 8.
7
Suppose -5*o = -3*o. Suppose a - 5*m - 1 = o, 3*m = -5*a - 2*m + 125. Let k = a + -11. Calculate the remainder when 29 is divided by k.
9
Let w(o) = o + 8. Let m(z) = 2*z + 7. Let u(t) = -2*m(t) + 3*w(t). What is the remainder when u(6) is divided by (1 + 0)/(2/6)?
1
What is the remainder when (1 - 15/4)*-12 is divided by 12?
9
Let a(u) = 2*u**2 + 16*u + 17. Calculate the remainder when 48 is divided by a(-7).
0
Let c = 35 + -33. Suppose -6 - 2 = -4*n. Calculate the remainder when c is divided by n.
0
Suppose -2*u + 3*u + 6 = 0. Let p(x) = -x**2 - 6*x + 1. Let l be p(u). Let a = 18 - l. What is the remainder when 50 is divided by a?
16
Suppose -z = l - 58, 3*l = 4*z - l - 216. What is the remainder when z is divided by 22?
12
Suppose 7*j = 10*j - 33. Calculate the remainder when 62 is divided by j.
7
Let b = 31 + -53. Let g = b - -36. What is the remainder when 27 is divided by g?
13
Suppose 0*z - 42 = -z. Let v = -186 - -274. Let q = v - z. What is the remainder when q is divided by 16?
14
Let q be ((-16)/(-24))/((-4)/(-186)). Suppose -j + 13 = 3*b, 0*j + 4*j = -5*b + q. Calculate the remainder when 11 is divided by b.
2
Let x(n) = -6*n**3 - 5*n**2 + 4*n + 2. Let l(i) = i**3 + i**2 - i. Let s(r) = -5*l(r) - x(r). What is the remainder when s(3) is divided by 10?
8
Let s = -4 + 7. Let j(k) = -k**2 + 4*k + 4. Calculate the remainder when j(3) is divided by s.
1
Let b = 54 - 17. What is the remainder when b is divided by 13?
11
Suppose -31*l + 1 = -32*l. Let r be 22 + (-1)/1*0. Let i = r + l. What is the remainder when i is divided by 11?
10
Let i = -19 + 42. What is the remainder when 43 is divided by i?
20
Let s(p) be the first derivative of 6*p + 2*p**3 - 5*p**2 + 3*p**2 - 3*p - 2. What is the remainder when 56 is divided by s(2)?
18
Suppose -5*u = -10 - 20. Suppose 5*a + 3*p = -23, 5*a - 2*p + 6 = -12. Let w = a + u. Calculate the remainder when w is divided by 2.
0
Let m be 2*(-2)/8*-10. Suppose m*n - 176 = n. Calculate the remainder when n is divided by 23.
21
Let c = -84 + 139. What is the remainder when c is divided by 19?
17
Suppose 0 = -4*i + 19 + 25. Let l(s) = s**3 - 10*s**2 + s - 8. Let g be l(10). Let w = 4 + g. What is the remainder when i is divided by w?
5
Suppose -3*b = 4*n - 22, -b = -2*b + 5*n + 1. Let s(u) = u**2 + 7*u - 8. What is the remainder when s(-10) is divided by b?
4
Suppose 3*f + 62 = 2*q, -2*q - 3*f + 88 = 2*q. Let n = q - 12. Calculate the remainder when 25 is divided by n.
12
Let k(x) = -x + 194. Let d be k(0). Suppose 4*i + 2*j + d = 0, 1 = 3*j - 2. Let s = i + 88. What is the remainder when s is divided by 14?
11
Let j be (-4)/18 - 76/(-18). Suppose j*y - 2*a = 9*y - 18, y + 14 = 4*a. What is the remainder when 5 - -5 - 9/3 is divided by y?
1
Let m(k) = -k**3 + 5*k**2 + 2*k - 8. Calculate the remainder when 10 is divided by m(5).
0
Let c(y) be the third derivative of -y**4/24 - y**3/3 + 2*y**2. Let n be c(-2). Suppose 2*l = -n*l + 30. What is the remainder when 44 is divided by l?
14
Suppose 9 = 2*b + d, 2*d + 9 = 5*d. Suppose -4 = -j - 4*y, -b*j + 4*y = 2*j - 20. What is the remainder when ((-33)/(-12))/((-2)/(-8)) is divided by j?
3
Let y = 9 + -9. Suppose y = 4*f + 3 - 23. What is the remainder when f is divided by 3?
2
Let z(j) = j + 14. Calculate the remainder when 38 is divided by z(0).
10
Let m(s) = -4*s. Suppose 0 = -7*f + 4*f - 9. Calculate the remainder when 22 is divided by m(f).
10
Let r be (-3)/2*28/(-21). Suppose -4*p + 5*g = 25, -3*g = -4*p - r*g - 5. Let t = p + 20. Calculate the remainder when 59 is divided by t.
19
Let s = 13 + 0. Let c = 21 - -4. Calculate the remainder when c is divided by s.
12
Let r = -43 + 55. What is the remainder when 83 is divided by r?
11
Let o(g) = -g - 1. Let p be o(-3). Suppose -3*w = p*w - 245. What is the remainder when w is divided by 17?
15
Let b(z) = z**2 - 3*z + 2. Calculate the remainder when b(-3) is divided by 19.
1
Suppose 4*j + 10*y = 8*y + 4, -3 = -3*j - y. Suppose -6*h + 4 = -2*h. Calculate the remainder when j is divided by h.
0
Let c = 23 + -13. Suppose 0 = 4*n - 3*t - 36, -5*n - 2*t + 34 = -3*t. Calculate the remainder when c is divided by n.
4
Let l(v) = 6*v + 7. Let z be l(-6). Let o = z + 54. Calculate the remainder when o is divided by 13.
12
Suppose 0 = 6*f - 11*f + 10. Suppose f*l + 0*m - 15 = m, 2*m = -4*l + 50. Calculate the remainder when 28 is divided by l.
8
Let q = -7 + 12. Let p = q - -1. What is the remainder when 17 is divided by p?
5
Suppose -l = l - 26. Calculate the remainder when 23 is divided by l.
10
Let k be 417/(-15) + (-3)/15. Suppose 0 = 4*t + t + 75. Let c = t - k. What is the remainder when 25 is divided by c?
12
Let i = -54 + 64. Calculate the remainder when 36 is divided by i.
6
Suppose 2*o = -o + 18. Calculate the remainder when (18/(-12))/(o/(-40)) is divided by 4.
2
Suppose 3*v = -i + 24 - 1, 0 = 2*v + i - 17. Let f = v - 2. Calculate the remainder when 10 is divided by f.
2
Let o(h) be the third derivative of h**5/60 - h**4/6 - 5*h**3/6 - h**2. Let d be o(5). Let y = d + 2. What is the remainder when y is divided by 1?
0
Let l = -13 + 25. Calculate the remainder when l is divided by 5.
2
Suppose -20 = 4*b + 5*a, 3*b - 4*a - 11 = 5. Suppose -c = -b*c - 11. What is the remainder when 19 is divided by c?
8
Let y = -2 - -6. Suppose -9 + 3 = -2*g. Calculate the remainder when y is divided by g.
1
Suppose 5*d - 53 = 5*g + 2, -4*d = -2*g - 34. Let v be 28/d - (-1)/3. Let p = 13 - v. What is the remainder when p is divided by 3?
2
What is the remainder when 30 is divided by (-4*3/(-6))/(9/36)?
6
Let c(n) = n**2 + 2*n + 5. Suppose -16 = 4*w - 0*w. Suppose 5*l = -2*p + 41, -l - 3*l + 22 = -2*p. What is the remainder when c(w) is divided by l?
6
Let z be (8/(-5))/((-14)/315) | {
"pile_set_name": "DM Mathematics"
} |
0, 2*m + 2*w - 4*w = 14. Is m a multiple of 7?
True
Suppose 0 = -3*y - w + 4*w + 435, -3*w = -5*y + 725. Let s = 281 - y. Let j = -88 + s. Is 12 a factor of j?
True
Let y(r) be the third derivative of -r**5/30 - r**4/6 - 2*r**3/3 - 3*r**2. Let b be y(-5). Let a = 53 + b. Is 19 a factor of a?
True
Suppose -8*k = -7*k - 5. Suppose -u - d - 128 = -k*u, -5*u - 4*d = -160. Is 23 a factor of u?
False
Suppose 0 = -2*f + 3*t + 1401, 5*t - 78 = -3*f + 2071. Is 59 a factor of f?
True
Let t be -7 + 10 + 5*16. Suppose 4*z + t = -69. Let g = -18 - z. Does 10 divide g?
True
Is 72/(6/(-39)*(-9)/12) a multiple of 21?
False
Is 5 - (-99 - (-2 + -1)) a multiple of 2?
False
Let q(g) = 2*g**2 - 20*g - 4. Let r(l) = 5*l**2 - 40*l - 6. Let k(z) = 7*q(z) - 3*r(z). Let s = -4 + -13. Is k(s) a multiple of 8?
False
Suppose 4*k - 639 = k. Let c = k - 123. Is c a multiple of 15?
True
Let r(m) = m**2 - 7*m + 6. Let j be r(8). Let u = j + -17. Is 19 a factor of u/(-1) - (11 + -39)?
False
Let z(k) = -k**2 - k + 29. Let b(y) = -5*y**3 - 2*y**2 - 2*y - 1. Let v be b(-1). Suppose v*g = 5*g. Is 8 a factor of z(g)?
False
Let s = -18 - -17. Let t be s/(-2)*38*-1. Let n = t - -28. Is n even?
False
Let z = -1593 + 1933. Does 5 divide z?
True
Let c(b) = -2*b**3 - 2*b**2 - 2*b + 6. Suppose 0 = -7*l + 2*l - m - 10, -3*l = -4*m + 29. Let k be c(l). Suppose 4*d - k = 84. Is d a multiple of 22?
False
Suppose -52*k + 42*k + 990 = 0. Does 33 divide k?
True
Let i be ((-2 - -2) + 7)*-1. Let q = i - -7. Suppose -2*p + 88 = -q*p. Is 22 a factor of p?
True
Let u(r) be the second derivative of r**3/6 - 9*r**2 - 5*r. Let i be u(18). Suppose 4*z - 55 - 17 = i. Does 5 divide z?
False
Let c(t) = 69*t**3 - 5*t**2 + 15*t - 22. Is 45 a factor of c(2)?
True
Let o be (-160)/(-20) - (0 + -1*1). Suppose -o*a = -a - 136. Is a a multiple of 17?
True
Let w(n) = 40*n - 3. Let m be w(2). Suppose 0 = -3*a - 3*h - 24, -2*a = a - 4*h + 59. Let t = a + m. Is t a multiple of 16?
True
Suppose r - 5*g = 34, -4 - 2 = r + 3*g. Let x be (-3)/r - (-67)/3. Is (0 - (2 - 3))*x a multiple of 10?
False
Let w(j) = -j**3 + 38*j**2 + 31*j + 144. Is w(37) a multiple of 70?
True
Suppose -121*v + 585 = -116*v. Suppose -4 = h - v. Does 8 divide h?
False
Suppose -26*c - 13*c + 14586 = 0. Is c a multiple of 4?
False
Let m = 11 + -7. Let v be 21/6*(-1408)/(-77). Suppose 0 = 4*r + 4*d - v, -3 - 45 = -3*r + m*d. Is 4 a factor of r?
True
Let x(g) = -12*g + 107. Let v be x(8). Let m = 9 - 3. Suppose v*b - m*b - 180 = 0. Is 6 a factor of b?
True
Suppose x + 2 = 2*x. Suppose 6 = 5*p - x*p. Is (12 + p)*(-2)/(-4) even?
False
Let x(b) = b**3 - 8*b**2 - 7*b + 54. Is x(9) a multiple of 3?
True
Suppose 1293 = 10*h - 507. Does 5 divide h?
True
Does 9 divide 3997/28 - (0 + 10/(-8))?
True
Suppose -2*m + 5737 = 5*o, 11*m - 7*m - 5739 = -5*o. Does 37 divide o?
True
Let h(d) = 2060*d**2 - d - 1. Let p be h(-1). Suppose -4*m + p = -9*m. Is 22 a factor of m/(-14) + (-12)/28?
False
Suppose 6*t - 5 = t. Let l(s) = 8*s - 1. Let j be l(t). Let k = j - -8. Is k a multiple of 15?
True
Let o = 2 - -7. Let m = -6 + o. Is 3 a factor of m?
True
Suppose 0 + 5 = -h + 4*r, -3*h - 2*r + 13 = 0. Suppose -3*d - 398 = -5*a, -h*d + 10 = -2. Suppose u + 86 = -i + 3*i, -3*u = -2*i + a. Does 15 divide i?
False
Suppose 1098 = 23*n - 19*n + 3*r, 0 = 5*n + 4*r - 1373. Is n a multiple of 4?
False
Let j(s) = -8*s + 12. Let p(i) = i + 1. Let h(u) = -j(u) - 4*p(u). Let n be h(5). Suppose 3*f + 5*l = f + 88, 0 = n*f + l - 176. Is f a multiple of 9?
False
Let u = -2741 - -3350. Is 7 a factor of u?
True
Suppose -4*m = -0*m + d + 45, -4*d + 10 = -3*m. Let h = 2 - m. Suppose 0 = -8*y + 7*y + h. Is 5 a factor of y?
False
Let q(w) = 2*w**2 - 9*w + 13. Let u = -43 - -50. Is 12 a factor of q(u)?
True
Let y(r) = 3*r - 28. Let j be y(8). Is 6 a factor of 2 + (j/(-8))/(2/124)?
False
Let t(h) = h**3 + h**2 + 551. Is t(0) a multiple of 21?
False
Suppose l + 0*l - 20 = 0. Let i = l + -16. Suppose 291 = i*r + 99. Is 9 a factor of r?
False
Suppose 5*p + 18 = 2*b, 0 = b - 0*b - 5*p - 14. Let h be ((-10)/8 + -1)*b. Let d = h - -15. Is d a multiple of 6?
True
Let k = -623 - -644. Is 21 a factor of k?
True
Let w(k) = k**2 + 6*k - 14. Let c be w(-8). Suppose -2*m = -c, -3*h + 2*m = -h - 18. Is 2 a factor of h?
True
Let v = 15 + 85. Is 33 a factor of v?
False
Let s(o) = -o**3 - 67*o**2 + 139*o + 178. Is 9 a factor of s(-69)?
False
Let k(i) = 4*i**2 - 21*i - 62. Is k(12) a multiple of 14?
False
Let l(m) = -m - 5. Let k(h) = h + 4. Let n be k(-9). Let q be l(n). Suppose -56 = -7*z + 2*z + 3*p, q = 2*z + 4*p - 38. Is 13 a factor of z?
True
Suppose 2*k + k - 114 = 0. Let r be (7 + 1)*(-182)/56. Let q = r + k. Is q a multiple of 4?
True
Suppose 7*u = 6*u + 225. Is 15 a factor of u?
True
Let v be 4 - 1/(4/(-24)). Suppose 3*f - v = -r, 2*r - f - 23 = -4*f. Suppose 226 - r = 3*q. Is 18 a factor of q?
False
Let g be ((-8)/(-6))/(24/54). Suppose -b - 1 = -g. Let d(h) = 13*h**2 - 1. Is d(b) a multiple of 17?
True
Let x(f) = f**2 + 14*f - 27. Let r be x(-19). Let u(t) = 17*t + 3. Let y be u(-3). Let m = y + r. Does 7 divide m?
False
Suppose -3*x = -4*c - 5*x + 54, 4*c = 4*x + 60. Suppose j + 16 = -40. Is 16 a factor of (c/(-4))/(4/j)?
False
Is 2439/54 - (76/24 + -3) a multiple of 3?
True
Suppose -5*m = -2*v - 840, 4*m - 5*v - 534 = 121. Is 10 a factor of m?
True
Let u(q) = q - 12. Let p be u(13). Let y(v) = 67*v**3 - 2*v + 1. Let i be y(p). Suppose -24 = -2*r + i. Does 15 divide r?
True
Let j(p) = -10*p**2 - 512*p + 40. Is 7 a factor of j(-49)?
False
Suppose -4*x + 1217 = -f - 3634, -5*f = -3*x + 3651. Does 12 divide x?
True
Suppose k + l - 486 = 0, -4*k + l = -0*l - 1934. Does 60 divide k?
False
Let o = 17 + -19. Let v be o + -283 + (-3 - -4). Does 6 divide 2/6 - v/12?
True
Let s(y) = 18*y - 47. Is s(4) a multiple of 2?
False
Suppose -2*u = -w - 15, w = 5*u + 6*w. Let t(n) = n + 5. Let k be t(-3). Suppose 0 = 3*z - k*r - 175, -u*r = -0*r - 5. Is z a multiple of 19?
False
Suppose 0 = -113*n + 109*n + 8. Let s(x) = 2*x**3 - x**2 + x - 2. Let k(z) = -2*z**3 + 2*z**2 - 2*z + 3. Let j(b) = 4*k(b) + 5*s(b). Does 24 divide j(n)?
True
Suppose 21 + 26 = m. Let j be m/2*(1 - -1). Suppose -2*y + j = -89. Does 21 divide y?
False
Let b(i) = i**3 - 3*i**2 - 4*i + 4. Let g be b(4). Suppose l + 5*k - 9 = 2, -2*l = -3*k + g. Does 16 divide (-4)/5*(l + -61)?
True
Let g(a) be the third derivative of a**6/120 + a**5/30 - a**4/12 - a**3/3 - a**2. Let r be g(-2). Let y = 22 + r. Does 12 divide y?
True
Let p = 677 - 90. Does 55 divide p?
False
Let t be 363/(-15) + 1/5. Let j = 2 - t. Does 7 divide j?
False
Let v = 100 - -26. Does 9 divide v?
True
Let f(k) = 40*k**3 - 2*k**2 + 26*k - 48. Does 27 divide f(3)?
False
Does 38 divide 52/(-13) - ((2 - 0) + -310)?
True
Let n(h) = 15*h**2 + 12*h + 54. Does 29 divide n(-6)?
True
Let x = 120 + -26. Let h = 244 - x. Does 15 divide h?
True
Let l = -88 - -39. Let i = l - -97. Is i a multiple of 16?
True
Let l = 24 - 48. Suppose 5*o + 280 - 75 = 0. Let n = l - o. Does 3 divide n?
False
Suppose -5*w = 5*h - 70, -3*w + h + 45 = 3*h. Suppose 5*p = 13 + w. Is (-12)/18 - (-202)/p a multiple of 7?
False
Let s(c) = -14 + 1 - c - 12*c. Suppose 3*w + 9 = -3. Is 16 a factor of s(w)?
False
Let g = 134 - -356. Suppose -2*u + 7*u - g = 0. Does 49 divide u?
True
Let j(y) = y**3 - 7*y**2 + 9*y - 17. Is j(7) a multiple of 23?
True
Let k(o) = 2*o**3 + 4*o**2 + o - 4. Let i = 23 + -9. Let d = i + -11. Is 18 a factor of k(d)?
False
Suppose -2*b + 11 + 17 = 0. Suppose -u - b = -29. Is 4 a factor of u?
False
Let r(o) = 2*o + 68. Is r(11) a multiple of 18?
True
Is 12 a factor of -64*27/(-12)*1?
True
Suppose -4*l + 164 = 2*c, -8*c + 3*c + 384 = -3*l. Does 3 divide c?
True
Suppose -20*j + 18415 - 5915 = 0. Is j a multiple of 37?
False
Is 15984/14 - (-11)/(924/24) a multiple of 22?
False
Suppose 21 = -2*m + d, m + d - 3*d + 3 = 0. Let q(t) = t**2 + 11*t - 4. Let w be q(m). Suppose -s + w = -0. Is 11 a factor of s?
True
Is (808/36 - 2/(-9))*27 a multiple of 17?
True
Let f be 1/(165/41 + -4). Let x(s) = 5*s**3 - 3*s**2 + 4*s - 1. Let r be x(3). Let j = r - f. Is j a multiple of 39?
True
Let c = -211 - -207. Let x(d) = -2*d**2 - 5 - d - 2*d + 3 - d**3. Is 14 a factor of x(c)?
True
Let c(x) = 4*x - 12. Let a(k) = -9*k + 3. Let | {
"pile_set_name": "DM Mathematics"
} |
t i(o) = -3*c(o) - u(o). What is i(2)?
-1
Let w(l) = 7*l**2 - 2*l - 1. Let a = -4 + 3. Calculate w(a).
8
Suppose 0 = -4*p + 2*f - 2, 0 = 5*p + f - 4*f + 3. Let r = p - 2. Let g(z) = -6 + 18 - 10 + 4*z + 5*z**2 + z**3. Calculate g(r).
6
Let p(u) = u**3 - 3*u**2 - 4*u - 4. Let h be ((-16)/(-14))/(22/77). What is p(h)?
-4
Suppose 3*u - 5 = f - 3, -3*f - 3*u = -30. Let y(t) = 16*t - 7*t + 0 + 1 - f*t. What is y(1)?
3
Let k(l) = 0*l**3 + 3 + l - 4*l + l**3 + 2*l**2. Let p = 3 - 1. Suppose -p*d + d = 3. Determine k(d).
3
Suppose -2*s - 3 = 4*g + 1, 4*s - 5*g - 18 = 0. Let j(d) be the first derivative of -1/3*d**3 - 3*d**2 - 3*d + s. What is j(-2)?
5
Let s = 12 - 7. Let x(c) be the second derivative of c**5/120 + c**4/24 - c**3/3 - c. Let u(t) be the second derivative of x(t). Calculate u(s).
6
Suppose -5*c - x = 4*x + 40, 0 = -c + 3*x. Let j be (-20)/c - (-14)/21. Let s(q) = -q**2 + 3*q + 4. What is s(j)?
0
Let i(z) = -z**2 - 1. Let u(o) = o**3 + 2*o**2 - o + 10. Let x be 2*(-9)/24*-4. Let f(h) = x*i(h) + u(h). Suppose -2*k = k. Calculate f(k).
7
Let n(v) = 5*v + 4. Let d(t) = 4*t + 5. Let x(f) = 6*d(f) - 5*n(f). Give x(7).
3
Let f = -1 + 2. Let y be 2 + 4/(16/4). Let m(o) = 3*o**2 + o**y + f - 1 + o - 2*o**2. Determine m(-1).
-1
Let a(i) = i - 7. Let q = 2 + 2. Give a(q).
-3
Let p(s) be the third derivative of -s**7/630 - s**6/720 - s**5/120 - s**4/12 - s**2. Let j(o) be the second derivative of p(o). Give j(-1).
-4
Let w(r) = 9 + 5*r**2 - 4 - 2*r - 2*r - r**3. Let t(j) = 4*j - 28. Let q be t(8). What is w(q)?
5
Suppose -3*q = q - 12. Suppose b + 4*b - 15 = 0. Let t(v) = v + 2*v + 1 - v**2 - b. What is t(q)?
-2
Let x(t) = t + 7. Let k be (1 + -4)*2/(-2). Let o be 2/(-6) + (-11)/k. Give x(o).
3
Let y(b) = -b**3 + b**2 + 2*b. Let l be y(2). Suppose 0 = 5*m + 15, l = 2*w + w + 5*m + 12. Let g(u) = -5*u - 1. Give g(w).
-6
Let r = -71 + 39. Let y be r/6 + (-1)/(-3). Let m(g) = g**2 + 4*g - 2. Give m(y).
3
Let s(r) = 7*r**2 + 3*r + 1. Suppose -1 = -6*u - 13. Give s(u).
23
Let w(x) = x**3 - 4*x**2 - x + 3. Let k(r) = r**3 - 2*r + 1. Let d be k(1). Let u(t) = 3*t**3 - 1. Let v be u(1). Suppose v*h + 2*h - 16 = d. Give w(h).
-1
Let b(k) = -11*k + 2. Let n(u) = 12*u - 3. Let r(m) = 3*b(m) + 2*n(m). Give r(1).
-9
Let s be (-8)/(-3 + -1)*2. Suppose 9 = -l - s*f + f, -l - f - 1 = 0. Let u(v) = v - 5. Determine u(l).
-2
Let b(q) = q + 1. Let u(t) = 4*t - 6. Let r = 7 - 6. Let k(i) = r*b(i) - u(i). Determine k(5).
-8
Suppose 0 = -0*j + 3*j + 24. Let g = j - -13. Let h(c) be the second derivative of c**3/6 - c**2 - 2*c. What is h(g)?
3
Let r = -26 + 17. Let w = r - -4. Let i(j) = -2*j - 2. Determine i(w).
8
Let z(u) be the third derivative of -u**8/840 + u**4/24 - 3*u**2. Let p(n) be the second derivative of z(n). Determine p(-1).
8
Let n(j) = -5*j**3 - j**2 + j. Let o(x) = x + 2. Let r be o(-3). Let z be -3*(r/(-3))/(-1). Calculate n(z).
-5
Let x(j) = j**3 - 7*j**2 + 6*j. Let t be (-1)/(-3)*9 - -3. Determine x(t).
0
Suppose g - 12 = -0*g. Let u be -2*3/(g/(-34)). Let f = -12 + u. Let l(k) = -k**3 + 5*k**2 + k + 1. What is l(f)?
6
Let o be (-102)/(-14) - (-10)/(-35). Let u(t) be the first derivative of -t**3/3 + 3*t**2 + 8*t + 5. Give u(o).
1
Let n be 2*((-7)/2 + 4). Let h(r) = -10*r + 1. Give h(n).
-9
Let a = 7 + -4. Let r(b) = a*b - 2*b**2 - 1 + 0*b**2 + 3*b**2. Let i be r(-3). Let q(h) = -9*h + 1. What is q(i)?
10
Let k(s) be the second derivative of s**2 - s - s**3 + 0 + 1/20*s**5 - 5/12*s**4. Calculate k(6).
2
Let g(w) = w**2 - 2*w - 4. Let d be 12/3*(-1 + -3)/(-4). What is g(d)?
4
Suppose -4*l - 3*j - 14 = 0, j + 0 - 22 = 4*l. Let d(i) = 22 - 15 + 3*i - 12. Let o(r) = -r + 2. Let z(u) = l*o(u) - 2*d(u). What is z(-6)?
6
Let w(i) = 3*i - 3. Let d(y) = 1 - 2*y - y + 2*y. Let l be (-1 + 2 - 0) + -5. Let c(t) = l*d(t) - w(t). Calculate c(0).
-1
Suppose -3*y - y = -28. Suppose 5*w = y + 3. Let z = w - -4. Let s(a) = a**3 - 7*a**2 + 5*a + 3. Calculate s(z).
-3
Suppose 2*k = 4, 2*k - 6*k - 4 = -3*o. Suppose 0 = -p - o*p + 20. Let l(r) = -1 + 3 + 6*r - 3 - p*r. Give l(1).
1
Let k(h) = h**3 - 6*h**2 + 4. Suppose 0 = -2*s - 4*r - 4, -2*s + r = s - 22. What is k(s)?
4
Let u(h) be the third derivative of -h**5/60 + 5*h**4/24 - h**3/2 + h**2. Let l be (-1)/(2/6) - -6. Give u(l).
3
Let m = -37 + 19. Let u be (2/3)/((-4)/m). Let o(x) = -2*x**3 - 4*x**u + x**3. What is o(-1)?
5
Let z be (-1 - -3) + 1 + 1. Let y(i) be the second derivative of 2*i + 1/6*i**3 + 1/12*i**z - 3*i**2 + 0. Determine y(0).
-6
Let b = -3 - -12. Suppose -2*y + b = -3*j, -5*y + 4*j + 12 = -0*j. Suppose y = -r - 3*r - 16. Let a(h) = h**2 + 6*h + 5. Determine a(r).
-3
Let k = -21 + 18. Suppose 0 = -5*c - 17 + 2, 0 = 3*b + 2*c. Let v(o) = -1 + b*o - o**2 - 2*o - 3*o. Determine v(k).
-1
Let g be 0 + 6/((-6)/(-3)). Let i(c) = g*c - 4*c - 4*c. Give i(2).
-10
Let s(m) = -m**3 + 7*m**2 - 5*m + 1. Suppose 0 = 2*h - 5*v + 13, -3*h + 5*v - 9 + 2 = 0. Calculate s(h).
7
Let t(d) = 3*d + 6. Let k(u) = u**2 - 3*u - 5. Let j(v) = 3*k(v) + 2*t(v). Give j(-2).
15
Let u(g) be the first derivative of -g**4/4 - g**3/3 + g**2/2 + 5*g - 20. Determine u(0).
5
Let m(h) = -h**3 - 2*h**2 + 3*h - 2. Let q(n) = -n - 8. Let f be q(-8). Suppose f = -k + 5*k + 5*p + 13, k = -5*p - 7. Let s be k - 0 - (2 - 1). Determine m(s).
-2
Let q(b) = 0*b - 2*b + 4*b + 3*b**2 + 2 + b. Determine q(-2).
8
Let o(y) = -2*y. Suppose -2*r + 14 = 2. Suppose 16 = 4*f + 2*j, 3*j + 2*j = -2*f + 8. Let t = r - f. Calculate o(t).
-4
Let f(v) = -5*v**3 + 3*v**2 + 12*v - 4. Let s(q) = 4*q**3 - 4*q**2 - 11*q + 3. Let k(g) = 3*f(g) + 4*s(g). Give k(8).
0
Let x(m) be the second derivative of -m**4/12 + m**3/6 + m**2/2 + 91*m + 1. Suppose 0 = -2*q + 2, 3*o - 5*q + 8 = 3. What is x(o)?
1
Let y(b) = -b**3 + b**2 - 7. Let s be 0*(0 - 1/(-2)). Give y(s).
-7
Let p(f) be the second derivative of -1/12*f**4 + 3*f + 3/2*f**2 + 0 + 0*f**3. Give p(3).
-6
Let w(h) = -h**3 + 12*h**2 + 12*h + 3. Let n(v) = -v**3 + 13*v**2 + 13*v + 2. Let r(m) = 5*n(m) - 6*w(m). What is r(8)?
0
Let b(u) = -u**2 - 3*u + 6. Let i(q) be the second derivative of q**4/6 + q**3 - 13*q**2/2 + q. Let l(f) = -9*b(f) - 4*i(f). Determine l(-3).
-2
Let y(z) = z**3 + 5*z**2 + 2. Let n = 55 - 60. Determine y(n).
2
Let w(g) = 3*g - 11. Let f be w(9). Let m(b) = 12*b**2 + 0*b + 0*b - f*b**2 + b. Determine m(1).
-3
Let a(q) = q - 4. Let b = 29 + -33. Give a(b).
-8
Let l(d) = -2 + 2*d**2 + 2*d**2 - 4*d**2 + d**3. Determine l(0).
-2
Let t(x) = -6*x**2 + 3*x + 3. Let z(d) = -5*d**2 + 2*d + 2. Let l(r) = -6*t(r) + 7*z(r). Determine l(4).
-4
Let m = -22 + 23. Let r(x) = -9*x**2. Determine r(m).
-9
Let h(o) = -o**3 - o**2 + o - 1. Let t(j) = 6*j**3 + 8*j**2 - 4*j + 2. Let u(f) = 5*h(f) + t(f). Determine u(-3).
-6
Let k(c) = -2*c - 2. Suppose -4*o = -2*l - 2*l - 32, -4*o = l - 17. Suppose -4*f + 17 = -5*f + 3*h, 0 = -f - o*h + 23. Let u be 4*(-3)/(f + 5). Determine k(u).
6
Let a be 3/3*2*4. Suppose -5*o - a = -4*h, 2*h = 2*o - 0*h + 2. Let t(z) = z - 3. What is t(o)?
-7
Let i(r) = -r - 5. Suppose -5*f = -13 + 43. Determine i(f).
1
Let i(x) = -5*x + 7. Let k(l) = -14*l + 19. Let a(s) = 11*i(s) - 4*k(s). Determine a(-2).
-1
Let h(a) = a + 2. Let g(m) = -m + 3. Let f(i) = -2*i + 5. Let c(w) = -4*f(w) + 7*g(w). Let d(y) = 3*c(y) - h(y). What is d(-4)?
-7
Let d = -2 - -6. Let j(l) = -d*l + l + 1 - 3*l. Give j(-1).
7
Let v(z) = -z**3 - z**2 + z - 6. Suppose -3*g = 5*i - 6, g - 1 = -2*i + 1. Give v(i).
-6
Suppose -3*a = c + 4, -5*a + 4*c + 12 = c. Let w = -4 - -7. Let r(t) = -w + 0*t**2 + 4*t**3 - 3*t**3 - t**2. Calculate r(a).
-3
Let a(h) = -h**3 - 5*h**2 - 4*h - 2. Let v be 4 + (-424)/52 + 2/13. What is a(v)?
-2
Let q be ((-5)/(-15))/(1/12). Let i = 8 - q. Let o(d) = -1 - i*d + 1 - d**2 + 2*d. Give o(-3).
-3
Let b(x) be the first derivative of x**4/4 + x**3 - 5*x**2/2 - 2*x - 3. Suppose -5*a - 20 = -5*i - 3*a, 3*a = -5*i - 5. Suppose 2*y = -i*y - 16. Give b(y).
2
Let s = 10 - 8. Let j(y) = -y**3 - 6*y**2 - 4*y + 7. Let l be j(-5). Let t be l - (-1 - -7)/s. Let r(b) = -2*b**2 + b + 1. Give r(t).
-2
Suppose -15 = -2*g - g. Let w(v) = 8*v + 1. Let m(i) = -7*i - 1. Let b(a) = g*w(a) + 6*m(a). Calculate b(3).
-7
Let s(x) be the first derivative of x**4/4 - 2*x**3/3 - x**2 + 2*x - 251. Let v be -4*-3*2/8. Calculate s(v).
5
| {
"pile_set_name": "DM Mathematics"
} |
by f.
2
Let y = 214 - 196. What is the remainder when 125 is divided by y?
17
Let p be 2/4*(2 - -2). Suppose 0 = -p*x - 2*x + 56. Let d = 68 - 13. Calculate the remainder when d is divided by x.
13
Let g be (8/24)/(1/21). Suppose -3*r + 80 = 4*s, 5*s - g = 3. Calculate the remainder when r is divided by 13.
11
Suppose -4*n - 4*p = -16, -16 = -4*n + p - 3*p. Calculate the remainder when 25 is divided by n.
1
Suppose -2*u + 5*r = 27, -3*u + 5*r - 20 - 8 = 0. Suppose -3*q + 5*q - 4 = -5*f, -5*q + f = -37. What is the remainder when (-19)/u + 0/(-1) is divided by q?
5
Suppose 4*r = 4*o + 60, 0*r + 39 = 3*r - 5*o. Suppose 3*a - a - h - r = 0, 2*a - 5*h - 10 = 0. What is the remainder when 28 is divided by a?
8
Let d(c) = c**2 + c + 1. Suppose 0 = 2*u - 6*u + 8. Suppose 5*q - 66 = -u*h, 24 = q + 3*h + h. What is the remainder when q is divided by d(-3)?
5
Let g(v) = -v**3 - 2*v**2 + 2*v + 4. Calculate the remainder when 81 is divided by g(-4).
25
Let h(u) = 3*u**3 - 3*u**2 + 2. What is the remainder when 55 is divided by h(2)?
13
Let h(r) = -6*r - 7. Let v be h(-2). Suppose -v = -3*b + 10. Calculate the remainder when 6 is divided by b.
1
Let s = -27 - -38. Let p(t) = t**3 + 5*t**2 - t - 1. Calculate the remainder when p(-3) is divided by s.
9
Suppose -2 = -v - 0*v. Suppose 2*a - 2 = -t, 4*t - a + v*a = 1. Suppose t = y - 4 - 5. Calculate the remainder when y is divided by 5.
4
Suppose 0 = -5*v + 3*h + 40 + 54, 2*h = -v + 11. Calculate the remainder when 48 is divided by v.
14
Suppose -230 = -4*h - 26. Let f = -21 + 30. Suppose 4*k - f - h = 0. Calculate the remainder when 29 is divided by k.
14
Let o be (3/(-9))/((-4)/(-12)). Let q = o - -14. What is the remainder when 36 is divided by q?
10
Suppose 0 = -w + 3. Suppose 27 = w*a - 141. Let o = -37 + a. What is the remainder when o is divided by 7?
5
Suppose 0 = 3*p - 11 - 1. Suppose -12 = -3*c - 0*c. Suppose c*o + 8 = p*b, -4*b - 2*o + 0*o = -8. What is the remainder when 3 is divided by b?
1
Suppose f = -u - 0*u - 23, 0 = -f - 5*u - 7. Let v = 0 - f. Let s(a) = 7*a**2 + 4*a + 1. What is the remainder when s(-3) is divided by v?
25
Suppose 5*a - 212 = 3*l, -3*a - 26 = 3*l - 134. Suppose -4*r = -0*r - 12, 0 = -4*k - r + 87. What is the remainder when a is divided by k?
19
Suppose -5*n - 69 = -5*t + 2*t, -3*n - 81 = -4*t. What is the remainder when 65 is divided by t?
11
Suppose 3*c - z - 149 = 0, 246 + 8 = 5*c + 4*z. Calculate the remainder when c is divided by 1*(-16 + -1)*-1.
16
Suppose -2*o - 1 = 5. Let j = 6 + o. What is the remainder when 10 is divided by j?
1
Let l = 4 + 4. Let o = -81 - -84. Calculate the remainder when l is divided by o.
2
Let a(w) = -4*w**3 - 2*w**2 + 4. Let k(d) = 4*d**3 + 2*d**2 - 3. Let x(t) = -4*a(t) - 5*k(t). What is the remainder when x(-2) is divided by 12?
11
Let c = -33 + 70. Suppose -3*h + 59 = 2*b, 137 = 5*b - 2*h + c. What is the remainder when 64 is divided by b?
20
Suppose -7*t = -6*t - 16. Calculate the remainder when 91 is divided by t.
11
Let s be (-7)/(-1 - (-8)/10). Let b = -24 + s. Suppose 6*g - 31 = 5*g. What is the remainder when g is divided by b?
9
Let l = -1 - -4. Suppose -f = l*f. What is the remainder when 8 is divided by (1 - f)*(3 - 0)?
2
Let o(b) = b**2 - 8*b - 14. Suppose 22 = -8*a + 10*a. What is the remainder when o(a) is divided by 10?
9
Let f(v) be the second derivative of -v**5/20 + 5*v**4/12 + v**3/6 - 3*v**2/2 + 7*v. What is the remainder when 2 is divided by f(5)?
0
Suppose -31 = t - 0*t. Let u = 68 + t. What is the remainder when u is divided by ((-1)/2)/(2/(-76))?
18
Let p = -22 + 39. Let n(g) = -g + 4. Let s be n(4). Suppose -u + 31 = 5*d, s = 3*d + 2*u - 6*u - 14. Calculate the remainder when p is divided by d.
5
Let n be 1/(-6) + 581/(-42). Suppose -2*i = -1 - 7. What is the remainder when (n/10)/(2/(-10)) is divided by i?
3
Suppose -n = -z + 24, -4*z - n = -4*n - 97. What is the remainder when z is divided by 7?
4
Suppose -15 = -k - 4*k. Suppose -k*q = -c - 16, 3*q + 4*c = -q. Calculate the remainder when 10 is divided by q.
2
Let z = 11 - 7. Suppose -21 = -k - 3*n, -k = -5*n - 5 + 8. Calculate the remainder when k is divided by z.
0
Let w = -32 - -83. Let n = 8 + 10. What is the remainder when w is divided by n?
15
Suppose -4*g - h + 5 = -3*g, 2*g - 4*h = -20. Suppose 0*n - 2*n = g. Suppose n*t - 3*t + 12 = 0. What is the remainder when 10 is divided by t?
2
Suppose 12*l = 13*l. Suppose -13 = -2*w + w. Suppose l = t - 5*i + 12, 2*t + 4 - w = -i. What is the remainder when t is divided by 2?
1
Suppose -8*b + 12 = -4*b. Let g be (39/b)/(-1)*-1. Suppose -g - 11 = -3*v. What is the remainder when 23 is divided by v?
7
Let h be ((-24)/20)/((-6)/(-40)). What is the remainder when 62*((-4)/h + 0) is divided by 16?
15
Suppose 0 = -5*g - 33 + 113. Suppose 5*f = 69 + g. Let n(q) = -q**3 + 3*q**2 + 4*q - 6. What is the remainder when f is divided by n(3)?
5
Let x(v) = -12*v. What is the remainder when 22 is divided by x(-1)?
10
Let h = 78 + -69. Calculate the remainder when -2 + 24 + 2/1 is divided by h.
6
Let z(a) = a**2 - 3*a. Let h(n) = n**2 + 6*n. Let w be h(-5). Let o = 42 - 28. Calculate the remainder when z(w) is divided by o.
12
Let p(f) = f**2 + 3*f + 2. Suppose 0*i + 4 = i. What is the remainder when p(i) is divided by 8?
6
Let h = 5 + 1. Let s(y) = y + 13. What is the remainder when (-8)/2*(-9 - 0) is divided by s(h)?
17
Suppose -j - 8 = -2*j + 5*o, 3*o - 68 = -5*j. Calculate the remainder when 12/(-8) + 395/10 is divided by j.
12
Let h = 20 + 8. Suppose -m + 11 = -2*k - 4, 0 = -2*m + 5*k + 30. What is the remainder when h is divided by m?
13
Let j = 53 - 39. Calculate the remainder when 45 is divided by j.
3
Let j(q) = q**3 - q**2 + 2*q. Let a be j(3). Let d = 38 - a. Let w(f) = f**3 - 5*f**2 - f - 3. What is the remainder when w(6) is divided by d?
13
Suppose i + 21 = 2*i. Let u(b) = -4*b**2 - 13*b - 5. Let x(j) = -j**2 - 3*j - 1. Let z(d) = 2*u(d) - 9*x(d). Calculate the remainder when i is divided by z(-4).
10
Let s be 595/28 + 3/4. Let d = -7 + s. What is the remainder when 29 is divided by d?
14
Suppose -3*v = 4*s + 136 + 210, 0 = 3*v - 5*s + 310. What is the remainder when ((-8)/10)/(4/v) is divided by (1/2)/(2/48)?
10
Let y(w) = w - 7. Let j be (-3 - -5) + 2*-1. Calculate the remainder when (-17)/(-1) - (j - 2) is divided by y(14).
5
Let b(p) = 3*p - 10. Suppose -88 = -6*a + 10*a. What is the remainder when b(7) is divided by 4/a + (-92)/(-22)?
3
Let u = -5 - -9. Suppose -5*z = -0*h + 5*h - 5, 0 = h + u. Let g(t) = -7*t**3 + t**2 + t + 1. What is the remainder when g(-1) is divided by z?
3
Suppose 7*g - 396 = -2*g. Calculate the remainder when g is divided by 8.
4
Let z(u) = 2*u + 8. Let k = -32 - -43. What is the remainder when z(6) is divided by k?
9
Let l = 6 + -9. Let y = l - -5. Calculate the remainder when 17 is divided by (-54)/(-6) + -1 + y.
7
Suppose 0 = -3*s - 5*b - 270, 2*s + b + 180 = -0*s. Let c = -53 - s. Calculate the remainder when c is divided by 13.
11
Let d = -33 + 67. Let t(f) = -f**3 + 13*f**2 - 11*f - 9. Let r be t(12). Suppose -r*y + 36 = -y. Calculate the remainder when d is divided by y.
16
Let s = 102 + -73. Calculate the remainder when s is divided by 15.
14
Let r(q) = q + 1. Suppose 0 = -2*c - 0 + 8. Calculate the remainder when r(c) is divided by 3.
2
What is the remainder when 12/((1 + -2)/((-5)/2)) is divided by 11?
8
Suppose 9 = 8*x - 55. Calculate the remainder when 28 is divided by x.
4
Let l = -4 + 5. Suppose 3 = -2*z - l. Let c(u) = 5*u**2 + 4*u + 3. What is the remainder when 44 is divided by c(z)?
14
Suppose 2*k = 5*j + 40, 5*k = 2*j + 33 + 25. What is the remainder when k is divided by 2?
0
Suppose -3*c + 8*c = 240. Calculate the remainder when c is divided by 25.
23
Suppose -h - k + 11 + 67 = 0, -5*h - 2*k + 399 = 0. What is the remainder when h is divided by (7/(-3))/(1/(-12))?
25
Suppose -3*v - 372 = -5*t, -2*v = -3*t - 5*v + 204. What is the remainder when t is divided by 15?
12
Suppose 8 = 2*n + 2*n. Suppose 2*w - 28 = -2*c - 3*w, -3*c + 4*w = -88. Calculate the remainder when c/16 + 3/2 is divided by n.
1
Suppose -59 = -2*v + 3*i, v - i - 40 = -3*i. What is the remainder when v is divided by 18?
16
Let x = -174 + 256. Let s(b) = -b**2 + 10*b. What is the remainder when x i | {
"pile_set_name": "DM Mathematics"
} |
is 2532.937 hours in milliseconds?
9118573200
What is one twentieth of a centimeter in micrometers?
500
What is 428.615775 minutes in weeks?
0.04252140625
How many months are there in 1/6 of a year?
2
How many milligrams are there in 3/25 of a gram?
120
How many grams are there in 26541.38t?
26541380000
How many millilitres are there in 17/2 of a litre?
8500
What is 5/4 of a meter in centimeters?
125
What is 1/4 of a millimeter in micrometers?
250
What is 73.42072nm in centimeters?
0.000007342072
What is 667.99 years in centuries?
6.6799
How many years are there in 415741.2 months?
34645.1
Convert 73122.2 litres to millilitres.
73122200
What is thirteen fifths of a microsecond in nanoseconds?
2600
What is one fifth of a minute in milliseconds?
12000
What is one tenth of a kilogram in grams?
100
How many minutes are there in 5/4 of a hour?
75
How many milligrams are there in 3/32 of a kilogram?
93750
How many microseconds are there in 627480.5 minutes?
37648830000000
How many micrograms are there in 29/5 of a milligram?
5800
What is 38.1315 tonnes in nanograms?
38131500000000000
How many centimeters are there in 911234.7km?
91123470000
What is 597744.9 years in months?
7172938.8
What is three fifths of a micrometer in nanometers?
600
What is four sevenths of a week in days?
4
What is twenty-one fifths of a millennium in years?
4200
How many litres are there in 538.0634 millilitres?
0.5380634
Convert 0.3872511 minutes to milliseconds.
23235.066
What is 9656.249 centuries in millennia?
965.6249
How many seconds are there in 3/10 of a hour?
1080
How many nanometers are there in 3/40 of a micrometer?
75
What is thirty-one fifths of a day in minutes?
8928
Convert 2604.681 centuries to years.
260468.1
Convert 1.333829t to milligrams.
1333829000
What is 207.783549s in days?
0.0024049021875
How many millilitres are there in thirty-one halves of a litre?
15500
What is 827288.2 tonnes in micrograms?
827288200000000000
How many days are there in 572057.1ms?
0.00662103125
How many tonnes are there in 18309.32 kilograms?
18.30932
Convert 1397.816ml to litres.
1.397816
How many weeks are there in 124643.0619 seconds?
0.20608971875
How many minutes are there in 7/4 of a week?
17640
What is 8/3 of a week in minutes?
26880
What is thirteen fifths of a litre in millilitres?
2600
How many hours are there in 642.53547ms?
0.000178482075
How many kilograms are there in seventy-six fifths of a tonne?
15200
How many decades are there in 0.6882864 millennia?
68.82864
What is 0.6057649ug in milligrams?
0.0006057649
Convert 77.6444319 seconds to weeks.
0.00012838034375
Convert 0.6943492 centimeters to meters.
0.006943492
How many litres are there in 648096.2 millilitres?
648.0962
How many centimeters are there in 1/4 of a kilometer?
25000
How many millilitres are there in 11/2 of a litre?
5500
How many litres are there in 749844.8ml?
749.8448
What is 5.215018 minutes in seconds?
312.90108
Convert 0.566146 micrograms to milligrams.
0.000566146
Convert 4799.113 nanometers to meters.
0.000004799113
How many millilitres are there in thirty-one halves of a litre?
15500
What is thirty-two fifths of a litre in millilitres?
6400
What is 3/32 of a millimeter in nanometers?
93750
What is 3/8 of a meter in millimeters?
375
What is 91.60076 microseconds in seconds?
0.00009160076
What is three tenths of a decade in years?
3
What is 16351517.7 minutes in weeks?
1622.174375
What is 745106.5 millimeters in kilometers?
0.7451065
How many millilitres are there in 21/8 of a litre?
2625
What is five quarters of a gram in milligrams?
1250
What is 0.69887 litres in millilitres?
698.87
What is 61893.54 kilometers in centimeters?
6189354000
How many millimeters are there in 45/4 of a meter?
11250
What is one fifth of a kilometer in centimeters?
20000
How many nanoseconds are there in one sixteenth of a millisecond?
62500
How many millilitres are there in 11/4 of a litre?
2750
How many seconds are there in 2/27 of a week?
44800
How many litres are there in 313.4539ml?
0.3134539
Convert 940.0171 milligrams to grams.
0.9400171
What is eight thirds of a hour in minutes?
160
How many millilitres are there in 8/25 of a litre?
320
What is 989719.8 centuries in months?
1187663760
Convert 949529.2 kilometers to centimeters.
94952920000
What is 0.7331264g in micrograms?
733126.4
How many litres are there in 0.5754896ml?
0.0005754896
Convert 34046.04s to nanoseconds.
34046040000000
How many meters are there in 1/4 of a kilometer?
250
How many months are there in 542440.3 centuries?
650928360
How many millilitres are there in 12/25 of a litre?
480
How many millilitres are there in three tenths of a litre?
300
What is ten thirds of a week in minutes?
33600
What is twenty-nine fifths of a kilometer in meters?
5800
What is fourty-six fifths of a centimeter in millimeters?
92
What is 344370.7g in nanograms?
344370700000000
How many seconds are there in one quarter of a hour?
900
How many milliseconds are there in 5/6 of a minute?
50000
Convert 97.01681 weeks to nanoseconds.
58675766688000000
How many nanograms are there in seven quarters of a microgram?
1750
What is one fifth of a litre in millilitres?
200
What is 1/4 of a day in hours?
6
Convert 46655.82 millennia to months.
559869840
What is 90383.68 centuries in months?
108460416
Convert 9.8171451 hours to weeks.
0.0584353875
Convert 47.36503ml to litres.
0.04736503
What is 1/4 of a week in hours?
42
What is three fifths of a litre in millilitres?
600
What is 5/4 of a second in milliseconds?
1250
What is 74742.59 nanometers in centimeters?
0.007474259
How many millilitres are there in 0.3628454 litres?
362.8454
How many micrometers are there in 0.6858554 centimeters?
6858.554
How many hours are there in one sixth of a day?
4
Convert 45934.93cm to meters.
459.3493
How many meters are there in 3/10 of a kilometer?
300
What is 3/40 of a litre in millilitres?
75
What is 7/8 of a minute in milliseconds?
52500
What is 3/50 of a meter in millimeters?
60
Convert 12431.26 micrograms to milligrams.
12.43126
How many centimeters are there in 1/4 of a kilometer?
25000
How many kilometers are there in 0.5002036um?
0.0000000005002036
What is 55/2 of a milligram in micrograms?
27500
Convert 8786.22 millimeters to centimeters.
878.622
What is 0.7927321g in nanograms?
792732100
Convert 96821.79mg to nanograms.
96821790000
How many minutes are there in ten thirds of a hour?
200
What is 3/25 of a hour in seconds?
432
How many grams are there in 5/4 of a kilogram?
1250
How many micrograms are there in three eighths of a milligram?
375
What is 10590.73 meters in kilometers?
10.59073
What is thirteen quarters of a day in minutes?
4680
What is 3384.213 litres in millilitres?
3384213
Convert 1136.861kg to milligrams.
1136861000
What is one quarter of a litre in millilitres?
250
How many centuries are there in 61.9447 decades?
6.19447
What is 36320.82 months in millennia?
3.026735
How many centuries are there in 3/5 of a millennium?
6
Convert 17.31542 millilitres to litres.
0.01731542
How many milliseconds are there in one sixteenth of a minute?
3750
How many millilitres are there in 13/5 of a litre?
2600
Convert 36065.41 litres to millilitres.
36065410
What is five eighths of a day in minutes?
900
How many millennia are there in 0.2794687 years?
0.0002794687
How many months are there in 4/15 of a decade?
32
What is 787069.4 grams in nanograms?
787069400000000
Convert 83506.3nm to meters.
0.0000835063
What is 834.5308ml in litres?
0.8345308
Convert 38993.32l to millilitres.
38993320
Convert 126.7443km to millimeters.
126744300
Convert 736585.8 nanoseconds to milliseconds.
0.7365858
What is 7.511791 millilitres in litres?
0.007511791
What is 0.7044393 milligrams in micrograms?
704.4393
How many millilitres are there in thirteen fifths of a litre?
2600
Convert 297237.81 minutes to hours.
4953.9635
How many millilitres are there in twenty-five halves of a litre?
12500
What is thirty-seven fifths of a centimeter in micrometers?
74000
What is 88919.62nm in millimeters?
0.08891962
What is fifty-two fifths of a tonne in kilograms?
10400
How many millilitres are there in 53/5 of a litre?
10600
What is 2/125 of a meter in millimeters?
16
How many milligrams are there in 3/10 of a gram | {
"pile_set_name": "DM Mathematics"
} |
43/35. Let r be (-1)/18 + (300/(-72) - -4). Which is the nearest to l? (a) t (b) r (c) 3/4
a
Let g = 377 - 224. Let j = 161 - g. Which is the nearest to -1? (a) 4 (b) j (c) -1
c
Let d = -14/3 - -13/3. Let j = -5824 + 5823.9. Which is the nearest to 1/4? (a) 5 (b) d (c) j
c
Let z = -52 - -110. Let w = z - 14. Let i = w - 43. Which is the nearest to 0.14? (a) -0.4 (b) 2 (c) i
a
Let t = 0 - -0.1. Let j = 3123 + -3122.5. Which is the closest to 0.1? (a) 3 (b) t (c) j
b
Let d = 161 + -160. Which is the closest to d? (a) -1/3 (b) -130 (c) -5
a
Let f = -0.03 - 3.97. Let n = 1357/13475 + -12/1225. Let x = -10 + 9. Which is the nearest to x? (a) f (b) n (c) -5
b
Let w = -0.0235067 + -0.0664933. Let l = -1 + 2. Which is the nearest to w? (a) -5 (b) -0.1 (c) l (d) 0
b
Suppose 33*m = -221*m - 33*m - 1148. Suppose 2*x = x. What is the closest to x in m, 3/2, 0?
0
Let j = -994 - -1001. What is the closest to 0.5 in -0.01, -2/13, -0.05, j?
-0.01
Let j = 14 - 13.92. Let v = -25.62 + 26. Let t = j - v. Which is the nearest to 1/4? (a) t (b) 0 (c) 1/6
c
Let i be (-822)/(-1233) - (1 - 7/19). Which is the nearest to 1/2? (a) 1/10 (b) i (c) -2
a
Let t be 2*3/(-288)*-16. What is the nearest to -0.3 in 1/2, t, -69/4?
t
Let z = 0.00215 - 0.04515. Which is the closest to 1/3? (a) -2 (b) z (c) -1 (d) 2/7
d
Let n = -7 + 7.046. Let y = n + -4.046. Let x = -2019/7 - -288. Which is the closest to 0? (a) x (b) 0.5 (c) y
a
Let u = -52 - -54. Suppose 7*c - u*c + 25 = 4*y, 20 = -5*c + 3*y. Let s be 2/(4*(-2)/(-3)). What is the nearest to s in -3, 0.4, c?
0.4
Let k be ((-303)/(-606))/((-2)/1). Which is the nearest to k? (a) 1/4 (b) -2/9 (c) -31
b
Let n be ((-196)/(-4410))/((-4)/18). What is the closest to -2 in 0.1, 2.1, -1/3, n?
-1/3
Let s = 66 + -10. Let k = 94 - s. Let i = k - 42. Which is the nearest to 0? (a) 1 (b) 0.4 (c) i
b
Let s = -24.89 + 25.09. Let p = 2/5 - 1/15. Which is the closest to p? (a) s (b) 31 (c) -4
a
Let n = 1156/5121 - 2/569. What is the closest to 41 in n, -0.3, -2/5, 0.2?
n
Let x = -15546 - -15567. Which is the nearest to 0? (a) x (b) -4 (c) 2 (d) -2/11
d
Let n be ((-240)/(-25))/3 - 2. Suppose 2*t + 3*k = -15 + 22, -5*k = 3*t - 12. Which is the closest to n? (a) t (b) -2/3 (c) 3
c
Suppose 2*n + 2*m - 108 = -2*n, -n - m = -27. Suppose -5*s = -32 + n. Let f = -19/11 - -87/44. Which is the nearest to s? (a) 7 (b) f (c) 1/8
b
Let z = -703 - -984. Let i = 277 - z. What is the closest to -1/2 in i, -9, -2/5?
-2/5
Let j = 40 - 31.5. Let x = 8 - j. Let n = 906.8 + -907. What is the closest to n in 1/4, 0.4, x?
x
Let y = -0.76 - 19.24. Which is the nearest to 2/5? (a) -24 (b) 0.5 (c) y (d) 4
b
Let m = 1400.2 + -1401. Which is the nearest to 0? (a) -0.3 (b) 0.015 (c) m
b
Let w be (-525)/(-875) - (-2)/(-70). Which is the nearest to 2/7? (a) w (b) -0.2 (c) 2/9 (d) 13
c
Let k = 0.04 - -1.96. Let p = -27.94 + 5.04. Let r = p - -23.9. Which is the closest to k? (a) 4 (b) -2/9 (c) r
c
Let f = -140.3 + 140.3. Which is the closest to f? (a) 0.5 (b) -2/5 (c) 3/20 (d) -5/3
c
Let k(f) = -f**3 - 11*f**2 - 19*f - 207. Let z be k(-11). What is the closest to 0.02 in -0.8, 0.3, 3/2, z?
0.3
Suppose -12*u - 2*u = 140. Let h be (9/u)/(11/((-110)/12)). Let b = 4 - 9. What is the closest to b in h, -1, -3?
-3
Let q = -6677 - -6675. Let r be (-6)/(-1)*3/12. Which is the nearest to q? (a) r (b) 0.5 (c) 2/5
c
Let y = 2578/5 - 10317/20. Let w = 43/78 - 2/39. Which is the closest to y? (a) 0.3 (b) w (c) -25
a
Let x = -1733 - -1728. Which is the closest to x? (a) 4 (b) -0.03 (c) 0.4 (d) 2
b
Let t be (-17)/36 + 3/12. Let z be 16/(-4) + 19 - 6/12*10. What is the closest to 0 in -5, z, t?
t
Suppose m = 4*z + 11, -5*z + 1 = -m + 16. Let p(j) = 9*j**2 + 50*j + 28. Let x be p(-5). Which is the closest to -1.7? (a) -2/7 (b) z (c) 1 (d) x
a
Let w = 0.27 - 0.223. Let r = 0.147 - w. What is the nearest to r in 4, -2/15, -2?
-2/15
Let w = 9.4 + 0.6. Let h = 15 - w. Let b be (-28 - -30)*5/(-40). What is the nearest to 10 in b, 1/8, h?
h
Let i = -0.031 + 75.031. Let o = 74.514 - -0.526. Let m = o - i. Which is the closest to 1/2? (a) 0.4 (b) 5 (c) m
a
Suppose -4*t = -5*y - 10, 7*y + 4 = 5*y - 2*t. Which is the nearest to y? (a) -6/5 (b) -1 (c) 21 (d) 1
a
Suppose -54 = 104*t - 105*t - 5*u, 0 = -4*t - 2*u + 36. Let k = -0.3 + 0.4. Which is the nearest to t? (a) 2/7 (b) -0.5 (c) -1 (d) k
a
Let g = -6786 - -6791. What is the nearest to -3 in -0.4, 0.5, g, 0?
-0.4
Let c = -12519 - -12519. What is the nearest to c in -1.1, 5/3, 1?
1
Let p(y) = y**3 + 4*y**2 - 68*y - 111. Let o be p(-10). What is the nearest to 0 in 1, o, 87?
1
Let f = 694 + -690. Let d = -7.5 + 10.5. What is the nearest to 4/9 in -2, d, f?
-2
Suppose 13 = a + 4*w + 6, 3*w - 12 = -3*a. What is the nearest to -223 in a, -4, 0.2, -0.1?
-4
Suppose 5*f - 107 = -4*i - 120, 3*i + 9 = -4*f. What is the nearest to -9/4 in 0, f, 4/7?
0
Let m = 3148.2 - 3148. Which is the nearest to 9/5? (a) m (b) 4 (c) 1/7
a
Let i = -6.61 + -0.59. Let g = -2873 - -2880. Let x = g + i. Which is the nearest to -0.2? (a) x (b) -3/4 (c) 4
a
Let o = 1.99 + 0.01. Let n = -52 - -142. Let y = -90.4 + n. What is the closest to -1 in o, y, -0.2?
y
Let f = -9.714 - -8.674. Which is the nearest to 2/9? (a) f (b) 0.3 (c) 2/5
b
Let p = 13868 - 13871. Which is the closest to p? (a) -4 (b) 1/10 (c) -0.2
a
Let n = 25 + -14. Let j = n - 16. Let z = -417.8 - -418. Which is the closest to j? (a) 5 (b) -5 (c) z
b
Let i = 8413.01 + -8413. Suppose 0 = 4*v - v - 30. Let u(p) = p**3 - 9*p**2 - 11*p + 12. Let f be u(v). What is the closest to -2 in -5, f, i?
i
Let y = -2/109 + -208/545. Let s be (2/15)/(4/85). Let g = s + -4/3. Which is the closest to -2? (a) g (b) y (c) 3
b
Let j = -3 - -1. Suppose -74*c - 3765 = -3839. What is the closest to 1 in 0, c, j, 4/3?
c
Let l = -0.905 + -455.095. Let t = 459 + l. What is the nearest to t in 8, 3/7, 4?
4
Let d(o) = -26*o**2 + 126*o + 17. Let v be d(5). What is the closest to 2/3 in 3, 0.4, 1, v?
0.4
Let q = -0.04901 - 0.15099. What is the closest to -1 in -0.6, -1/19, q, 3/2?
-0.6
Let s = 188 - 191.07. Let k = 0.07 + s. Let m = 2 + -1. Which is the nearest to m? (a) k (b) 0.3 (c) -3/4
b
Let g(j) = -3*j - 9. Let o be g(-4). Let d(i) = -2*i + 5. Let t be d(o). Let w be (4/(-20))/(-2*(-2)/(-12)). What is the nearest to -1 in w, t, 2/3?
t
Let m = 2801.6 - 2802.1. What is the closest to 1 in 0.107, m, -5?
0.107
Let v = -15201.2 - -15201. Which is the closest to v? (a) -12 (b) -6/5 (c) 4
b
Suppose 2*s = -4, -3*r + 9*s - 4*s + 1 = 0. Which is the nearest to -2/695? (a) 2 (b) -1 (c) r
b
Let b(i) = 1465*i + 10265. Let u be b(-7). What is the closest to -1 in -19, -0.5, u?
-0.5
Let i be 9/(-27)*(-12)/(-10). Let y = -481 - -480.91. What is the closest to 3 in i, 3/5, y?
3/5
Let m = -1728/11 + 157. Let v(y) = y**2 + 6*y + 1. Let r be v(-5). Let f(x) = 18*x - 522. Let j be f(29). Which is the closest to j? (a) m (b) r (c) 10/3
a
Let w(j) = -23*j + 370. Let t be w(16). Which is the closest to 5/3? (a) t (b) -0.3 (c) -8/3 (d) 2/3
a
Let a = 54754/13 + -4212. What is the closest to a in -0.5, 0.1, -4/9, -0.7?
0.1
Let w = 5.6 + -0.6. Let s be (2/8)/(386/(-1544)). What is the closest to 2/93 in w, 0.1, s?
0.1
Let j = 1/42 + 1/7. Let w = 57.86 + 1.14. Let p = w + -59. Which is the closest to 5? (a) -2 (b) p (c) j
c
Let m = 88 + -21. Let x = m - 63. What is the closest to -1 in x, -0.2, 2?
-0.2
Let d = -1729.2 + 1729. What is the nearest to 19 in -3, d, 2?
2
Let k = -3720 + 3720. Which is the closest to -11? (a) 2 (b) 0.5 (c) k (d) 4
c
Let s(z) = -z**2 - 9*z + 847. Let n be s(-34). What is the nearest to 0 in n, -0.1, 0.4, -26?
-0.1
Let r be ((-21)/(-28))/(9/(-24)) - -63. Suppose -11*t - 49 = r. What is the nearest to -3 in t, -3, -2?
-3
Suppose 374*t - 354*t = -140. Which is the nearest to -1? (a) 2/7 (b) 0.3 (c) -4 (d) t
a
Suppose 157 = -4*o + 625. Let t be (-4)/52 - (-35)/o. Which is the nearest to -1? (a) -2 (b) -5/8 (c) t
b
Let f = 2137 + -2115. What is the nearest to -1/2 in 3/2, f, -2/11, -0.4?
-0.4
Let p = -7098 - -7096. What is the closest to p in 1, -0.3, -4, -0.118?
-0.3
Let u be (27246/60)/19 + -17. What is | {
"pile_set_name": "DM Mathematics"
} |
lacement from kickocqicikiqoqqkoq. Give prob of sequence ooi.
4/969
What is prob of sequence waaa when four letters picked without replacement from {a: 13, w: 3}?
33/280
What is prob of sequence eue when three letters picked without replacement from vgeseguee?
1/42
What is prob of sequence wtw when three letters picked without replacement from {h: 6, q: 4, t: 3, w: 3, v: 4}?
1/380
What is prob of sequence quu when three letters picked without replacement from {u: 3, q: 5}?
5/56
Two letters picked without replacement from ttyxxeyu. Give prob of sequence xu.
1/28
Four letters picked without replacement from {v: 9, k: 10}. Give prob of sequence vkkv.
45/646
Calculate prob of sequence ytc when three letters picked without replacement from {y: 3, c: 2, t: 1, p: 3, b: 3, v: 7}.
1/969
What is prob of sequence bbss when four letters picked without replacement from {s: 3, b: 5, z: 5}?
1/143
What is prob of sequence rst when three letters picked without replacement from trttsss?
3/70
Two letters picked without replacement from {v: 2, i: 1}. What is prob of sequence vv?
1/3
Three letters picked without replacement from dfwle. Give prob of sequence edw.
1/60
What is prob of sequence uj when two letters picked without replacement from rjjrjjjujjjrujj?
2/21
Calculate prob of sequence zzq when three letters picked without replacement from lhqzzlqhlzhqhhb.
3/455
What is prob of sequence yyyz when four letters picked without replacement from zyztyyzztzyzz?
7/715
Two letters picked without replacement from llnnjillljlnn. What is prob of sequence lj?
1/13
Calculate prob of sequence ooo when three letters picked without replacement from ooooooodd.
5/12
What is prob of sequence rss when three letters picked without replacement from {s: 7, r: 5}?
7/44
Four letters picked without replacement from {b: 5, y: 15}. What is prob of sequence byby?
35/969
Calculate prob of sequence zaza when four letters picked without replacement from {a: 6, q: 2, z: 7}.
1/26
What is prob of sequence lqql when four letters picked without replacement from qlfqqqbqqkqkblllqqq?
15/1292
Two letters picked without replacement from siwgsw. Give prob of sequence ss.
1/15
Two letters picked without replacement from {x: 2, e: 2, q: 4}. What is prob of sequence ee?
1/28
Calculate prob of sequence zee when three letters picked without replacement from {s: 1, z: 7, e: 12}.
77/570
Calculate prob of sequence tff when three letters picked without replacement from {y: 9, t: 4, f: 3, u: 4}.
1/285
Calculate prob of sequence afa when three letters picked without replacement from afffafffaaaf.
7/66
Two letters picked without replacement from {s: 3, z: 11}. What is prob of sequence zz?
55/91
What is prob of sequence cv when two letters picked without replacement from {c: 3, r: 1, u: 2, v: 3, j: 1}?
1/10
Three letters picked without replacement from {r: 2, z: 6, h: 2, n: 3, c: 5}. What is prob of sequence nzc?
5/272
Three letters picked without replacement from {c: 5, z: 14}. Give prob of sequence ccc.
10/969
Two letters picked without replacement from {e: 2, t: 5, r: 3, u: 3}. What is prob of sequence re?
1/26
What is prob of sequence pa when two letters picked without replacement from {x: 1, o: 1, y: 1, p: 1, k: 1, a: 2}?
1/21
Three letters picked without replacement from fcz. What is prob of sequence zcf?
1/6
Two letters picked without replacement from zaiiiiiniznzir. Give prob of sequence ni.
1/13
What is prob of sequence dv when two letters picked without replacement from aadaadaaddaddvbdabdd?
9/380
What is prob of sequence iwci when four letters picked without replacement from {w: 2, c: 3, i: 2, h: 4, d: 6}?
1/4760
What is prob of sequence kcu when three letters picked without replacement from {t: 5, u: 4, k: 1, a: 3, c: 3, o: 4}?
1/570
Two letters picked without replacement from {g: 10, w: 1, n: 1, d: 2, e: 2}. What is prob of sequence wg?
1/24
Calculate prob of sequence ai when two letters picked without replacement from iiiraiihi.
1/12
Calculate prob of sequence pe when two letters picked without replacement from hexpdhhedxxhee.
2/91
What is prob of sequence aaaj when four letters picked without replacement from aaajljdjlaljaa?
20/1001
What is prob of sequence kik when three letters picked without replacement from {b: 5, k: 4, i: 3}?
3/110
Three letters picked without replacement from {r: 3, g: 4}. What is prob of sequence grg?
6/35
Three letters picked without replacement from iiiiii. Give prob of sequence iii.
1
Calculate prob of sequence vb when two letters picked without replacement from {i: 2, w: 1, v: 5, b: 2, q: 2, u: 5}.
5/136
Two letters picked without replacement from {t: 2, d: 1, j: 3, f: 7, b: 2, l: 5}. What is prob of sequence jf?
21/380
What is prob of sequence lv when two letters picked without replacement from {n: 2, v: 6, l: 2, y: 1}?
6/55
Two letters picked without replacement from {l: 1, p: 3, k: 1}. Give prob of sequence kl.
1/20
What is prob of sequence tx when two letters picked without replacement from xltltjl?
1/21
Calculate prob of sequence ddji when four letters picked without replacement from {d: 4, q: 2, h: 1, r: 4, i: 3, j: 3}.
9/4760
What is prob of sequence xux when three letters picked without replacement from xxxxxxxxxxux?
1/12
Four letters picked without replacement from rbrbbrrbbbrr. What is prob of sequence rrrb?
2/33
What is prob of sequence ps when two letters picked without replacement from {v: 1, p: 1, s: 2, c: 2}?
1/15
Calculate prob of sequence fcb when three letters picked without replacement from bgcxfvb.
1/105
Calculate prob of sequence gv when two letters picked without replacement from {g: 1, w: 2, d: 1, v: 1}.
1/20
Three letters picked without replacement from {q: 3, f: 4, m: 2, i: 6, s: 1, a: 3}. Give prob of sequence siq.
1/323
Calculate prob of sequence ub when two letters picked without replacement from bbbmbbbbbbbubbbbbb.
8/153
Two letters picked without replacement from {p: 10, t: 10}. Give prob of sequence pt.
5/19
What is prob of sequence wm when two letters picked without replacement from mmmwccmmccm?
3/55
What is prob of sequence wwu when three letters picked without replacement from aawwwwwwuwwwww?
55/1092
Three letters picked without replacement from {a: 2, c: 1, z: 1, t: 1, m: 1, i: 2}. What is prob of sequence zmc?
1/336
Three letters picked without replacement from {k: 4, n: 5, o: 3, e: 7}. What is prob of sequence knk?
10/969
What is prob of sequence rbb when three letters picked without replacement from {r: 5, z: 3, b: 9, i: 1}?
5/68
Calculate prob of sequence nw when two letters picked without replacement from {w: 2, k: 1, n: 1}.
1/6
Four letters picked without replacement from yyhhyhyhyyyhyy. Give prob of sequence yhhh.
45/2002
Calculate prob of sequence uuu when three letters picked without replacement from rrrwruuurrrrrrruwrd.
4/969
Calculate prob of sequence dzdd when four letters picked without replacement from {z: 1, d: 3, u: 4}.
1/280
Two letters picked without replacement from eeeeeeececeeeeeeeee. Give prob of sequence cc.
1/171
Four letters picked without replacement from tpfgyttyyyyf. What is prob of sequence pytt?
1/396
What is prob of sequence nh when two letters picked without replacement from znssznzsnnzhsszznzz?
5/342
Two letters picked without replacement from xxicxxcbbxybc. What is prob of sequence ix?
5/156
Calculate prob of sequence cwbi when four letters picked without replacement from {w: 1, i: 2, m: 5, b: 4, c: 2}.
2/3003
Four letters picked without replacement from {a: 3, u: 5, r: 4}. Give prob of sequence aruu.
2/99
Four letters picked without replacement from {u: 9, j: 11}. Give prob of sequence juju.
22/323
What is prob of sequence tg when two letters picked without replacement from rtgttrgrtgggyrgrggt?
20/171
What is prob of sequence db when two letters picked without replacement from {b: 2, q: 2, d: 2, i: 2}?
1/14
What is prob of sequence agag when four letters picked without replacement from ggdgadgggagddd?
1/286
Four letters picked without replacement from bkqhkyty. What is prob of sequence tqyy?
1/840
Three letters picked without replacement from {r: 1, p: 2, v: 1, k: 2, g: 1}. Give prob of sequence rvp.
1/105
Three letters picked without replacement from {n: 2, y: 1, b: 1, i: 1, e: 1, z: 1}. Give pro | {
"pile_set_name": "DM Mathematics"
} |
p = -23*u for u.
2
Let a(u) = u**2 - 27*u + 74. Let n be a(24). Suppose z - 4*o = -18, -5*z + n*o = -z + 2. Solve -6*t = -z*t + 4 for t.
-1
Let w(h) be the second derivative of -h**5/20 + h**4 - 2*h**3 + 13*h**2/2 - h - 5. Let z be w(11). Solve -4 = z*r + 4 for r.
-4
Let w(a) be the first derivative of a**3/3 + 2*a**2 - 9*a + 2. Let k(n) = -7*n + 22. Let i be k(4). Let z be w(i). Solve -z*y = y + 8 for y.
-2
Suppose -102 = 3*d + x + 167, 2*d + 172 = 3*x. Let u = 92 + d. Suppose -t + p = -5*t - u, -4*p = -3*t + 12. Solve t = -n + 3 - 1 for n.
2
Let g(x) = -2*x. Let w(v) = 11*v. Let h(y) = 5*g(y) + w(y). Let s(b) = 2*b - 14. Let t(i) = -3*h(i) + s(i). Let q be t(-17). Solve n - q*n = 8 for n.
-4
Suppose 19*w = 16*w - 21*w. Suppose w*a - 3 = b - a, 4*b = 2*a - 6. Solve b = 3*v + v - 16 for v.
4
Let o be 4/32 - 3141/(-24). Suppose 3*l - o = -t, -3*l - 5*t + 96 = -l. Let b = 44 - l. Solve v + b = 4 for v.
3
Suppose -84*g + 7732 = -4438 - 4714. Solve 39*y - 240 = -g for y.
1
Let s = -16347 - -16359. Solve -168 = -44*r - s*r for r.
3
Let u = -112 - -115. Suppose 6*c = -u*c + 72. Solve -4*l = -0*l + c for l.
-2
Let w be ((-36)/(-30))/(3/(-40)). Let b be (2/4)/(8/w)*0. Let a be (4 - (-2 - -4)) + 3. Solve 5*v + a + 5 = b for v.
-2
Let x = 5806 - 5730. Solve 22*y + x = -12 for y.
-4
Let b(v) = v**2 + 53*v - 541. Let c be b(-63). Solve 0 = -c*i + 19 + 159 for i.
2
Suppose 21*f - 32*f + 891 = 0. Suppose -25*t + f + 19 = 0. Solve 3*y = -t*y + 35 for y.
5
Suppose -60*t - 52 = -1552. Solve t*g = -9*g + 102 for g.
3
Suppose -4 = -2*g, -3*j - g = -j - 12. Suppose 2*n = -5*x + 4*x + 11, -j*n + 35 = x. Let i be (-1 - (-25)/20) + 6/n. Solve i = 2*r - 3 for r.
2
Suppose 5*c - 3*g = -375, 0 = -c + 4*c + 3*g + 249. Let i be (c/(-52))/(2/20). Solve -2*t + i = -5*t for t.
-5
Suppose 0 = -4*a - 4*n - 4, 0 = -4*a - 0*n + 2*n - 22. Let o = a + 8. Suppose -3*l = -o*l - 3*l. Solve p + p + 6 = l for p.
-3
Let g = 406 + -401. Suppose 6 = -b - 2*t, -5*b - 2*t = t - g. Solve -b*q = -q for q.
0
Let u be ((-52)/91)/((-4)/14). Suppose -f - u*y + 6 = 0, 0*f - 2*y - 10 = -f. Solve 2*p = -0 - f for p.
-4
Suppose v = 5, -6*v = 5*a - v - 125. Let n be (-4)/(-40) - (-278)/a. Solve 4*u = -3*u - n for u.
-2
Suppose -2*d - 80 = 4*v - 18, 4*v + 4*d + 56 = 0. Let x(y) = -7*y + 81. Let o be x(14). Let m = o - v. Solve m*t = t for t.
0
Let z be 26/91 + 117/7. Solve -2*x + 23 = z for x.
3
Let z = -1008 - -1022. Solve -23 = -z*d - 65 for d.
-3
Let h(b) = 193*b + 1355. Let i be h(-7). Solve -i*r = -17*r - 0*r for r.
0
Let v = -1 - -1. Suppose 4*m + 2*w - 116 = -0*w, -184 = -5*m + 4*w. Suppose -7*c + 172 - m = v. Solve -c = 3*b + b for b.
-5
Suppose -17967 = -43*s + 11*s + 129745. Solve s = 5*d + 4631 for d.
-3
Suppose -5*o = -3*o - 8. Suppose 3*u - 110 = 4*w, 0*w - 16 = -o*w. Let d = u - 39. Solve d*a = 7*a for a.
0
Let u = 1673 + -1659. Solve -u*v - 18*v = 32 for v.
-1
Suppose -32*h + 131 = -7*h + 6. Solve -57*o + h = 5 for o.
0
Let q(f) = 4*f - 13. Let s be (7 + 21)*1/2. Suppose 0 = 23*i - 21*i - s. Let g be q(i). Solve 8*b = 3*b - g for b.
-3
Let s = -738 + 742. Solve 31*d + s - 4 = 0 for d.
0
Suppose -9*l + 73 = -80. Let y(b) = -2*b + 37. Let a be y(l). Solve a*o + 4 + 11 = 0 for o.
-5
Suppose -3*j + 30 = -l, -218*l + 217*l + 54 = 4*j. Let g(m) = -m**2 - 9*m - 9. Let a be g(-7). Solve -u + a*u - j = 0 for u.
3
Let m be 1*8*(-46)/(-8) - 4. Let r be (6/4)/((-12)/304). Let w = r + m. Solve 0 = -5*t + t - w for t.
-1
Suppose 22*t - 189 = 735. Solve -52 = 2*o - t for o.
-5
Suppose 3*n + 20 = 4*p, p + 16 = -5*n + 21. Solve n = -5*h - 13 + 18 for h.
1
Let j = -9397 - -9397. Solve -24*n + 127 + 41 = j for n.
7
Let f be 0 + (-9)/(2 - 3). Let q = 497 + -489. Suppose 4*c + 20 = -5*u, 4*c - 2*u = -0*u + q. Solve c = -3*i - 0 - f for i.
-3
Suppose 1485 = 18*m - 1215. Let d = 150 - m. Solve 0 = 4*x + 4 - d for x.
-1
Suppose 221*f + 267*f = 97*f + 49266. Solve 7*q - 21*q + f = 0 for q.
9
Let i(c) = 9*c**2 - 14*c + 2. Let j be i(3). Suppose b - j = -36. Suppose 0 = -b*p + 9*p - 16. Solve 0*u = -p*u for u.
0
Let u = 24940 - 24711. Solve -u*t = -239*t for t.
0
Let b(q) be the third derivative of -11*q**4/12 + 62*q**3/3 + 9*q**2 + 17. Let j be b(5). Solve 15 = -j*i + 17*i for i.
5
Suppose -1523*z = -1518*z + 4*b - 142, 3*z = b + 92. Solve 0 = -30*u - z + 180 for u.
5
Suppose 15*s = -4679 + 4934. Solve s*m - 31 - 37 = 0 for m.
4
Suppose 3*w = -4*q + 274, w - 2*w = q - 91. Suppose 18*s + w = 3*s. Let z be ((-6)/4)/(3/s). Solve 8*i = z*i for i.
0
Suppose 0 = 9*d - 396 - 99. Let p = 57 - d. Let q be (-10)/45 + 11/9 + -1. Solve p*z + z + 3 = q for z.
-1
Let k be ((-2)/(-6))/((-7)/126*2). Let z be 2/(k + (-21)/(-6)). Solve z = y - 0 for y.
4
Let z be 1*(0 + 0)/(-4) - -28. Solve 0 = 13*p - 41 + z for p.
1
Let w = -8804 - -8841. Solve 0 = 33*q - w*q + 20 for q.
5
Suppose 0 = -j + w + 8, 5*j - 24 = -0*w + w. Suppose j*l + 30 = 14*l. Suppose -l*m + 12 = -m. Solve m + 4 = -5*a for a.
-2
Let i = 501 + -499. Suppose 5*c + 75 - 11 = i*w, -2*w + 3*c = -64. Solve 6 = 29*y - w*y for y.
-2
Let c = -26 + -23. Let t = c - -38. Let j be (17 + t)/(3/2). Solve j + 1 = x for x.
5
Suppose -27 = -78*v + 80 + 127. Solve 0 = 37*u - 40 + v for u.
1
Let i = -450 + 455. Suppose -q - i*m = 12, -q + 28 + 0 = -3*m. Solve -3 + 29 = -q*r for r.
-2
Suppose -304*k + 281*k = -874. Solve -10*d - k = -8 for d.
-3
Let i be 5/(25/4)*5. Suppose n = 5*n - i*t - 16, -3*t + 12 = 5*n. Suppose -2*f = -2*b - 2*b + 54, 69 = 5*b - n*f. Solve 2*c = -2*c + b for c.
3
Let i(a) = 9 + 125*a + 1 - 133*a. Let b be i(-1). Solve -14*w - 12 = -b*w for w.
3
Let d be (18 - 0)*(-10)/20. Let o(l) = -2*l - 14. Let w be o(d). Suppose -r = -4*k + 15, w*k + 4*r + 9 = 3*k. Solve 0 = -0*m + m - k for m.
3
Let f be (9 - 7)/(10/215). Solve -f + 29 = -7*n for n.
2
Suppose 113*x - 979 = 603. Solve x = 5*u - 6 for u.
4
Let n = 598 - 577. Let y be (28/n - 1)*9. Solve -y*h = -8 + 2 for h.
2
Suppose -8*d = 10*d - 144. Suppose 0 = -3*h - 4*q - 0*q - 8, 4*h = 5*q + 10. Let r be (-5)/15 + 26/6. Solve -r*l = -h*l + d for l.
-2
Let d(s) = -12*s - 90. Let f be d(-9). Suppose -f*p = 4*p. Solve p = -20*o + 24*o - 8 for o.
2
Let s(l) = -132*l + 1752. Let c be s(13). Solve -38*f = -c + 188 for f.
-4
Suppose -338*i = -341*i + 3*o, 2*i = 5*o - 15. Solve i*j = 7*j - 10 for j.
5
Suppose 938*d + 40006 = 1021*d. Solve 2*q - 472 = -d for q.
-5
Let m(a) = -a**3 + 3*a**2 + 4*a + 4. Let g be 3*(16/(-6))/(-8). Suppose -3*f + f = -3*p + g, 0 = 2*p - 6. Let o be m(f). Solve x - 6 + o = 0 for x.
2
Let m(a) = 113*a + 679. Let t be m(-6). Solve t = 6*v - 5*v for v.
1
Let n = -64 + 60. Let r(c) = c**3 - 2*c**2 - 3*c - 4. Let x be r(3). Let g = n - x. Solve g = w - 4 + 3 for w.
1
Let c = 1554 + -1550. Solve -979*g = -977*g + c for g.
-2
Let j = -15705 - -15790. Solve -2*c = 91 - j for c.
-3
Let f be 21/(-1218)*-29 + 62/4. Solve -6*x + f = -26 for x.
7
Let a be 10/(16/(19 - 3)). Solve a*i = -20*i for i.
0
Let u(j) = 3*j**3 - 8*j**2 - 11*j - 30. Let r(a) = 4*a**3 - 7*a**2 - 12*a - 31. Let w(c) = 2*r(c) - 3*u(c). Let h be w(11). Solve -h*s + s = -5 for s.
1
Let l be (-2 - (10 - 2) - 3)/(-1). Solve -l*s + 50 + 2 = 0 for s.
4
Suppose w = a + 7, 5*w - 8*a + 4*a = 32. Suppose 0 = -v - 5*j + 26, 6*j = 3*v + j - 98. Suppose -w*c - 15 = -v. Solve -o - 3*o + c = 0 for o.
1
Suppose -2*v + 4 = -3*v. Let t be (18/24)/((-1)/v) + 1. Suppose 4*f + 2*q - 7*q = 18, -t*q = 4*f. Solve 0 = -f*s - 2*s - 8 for s.
-2
Suppose 13*o = 11*o + 54. Suppose -3*w + 14 = 2. Suppose 6*b = -4*x + w*b + 26, 3*x + 3*b = o. Solve 0*a - x = -a for a.
4
Suppose -1217 = -198*p + 4327. Solve 10*g - 78 = -p for g.
5
Suppose -3*k - k - 12 = 0, -2*o + 2*k + 28 = 0. Let j(b) = -o + 6*b + 5*b**2 - 4*b**2 + 4*b. Let u be j(-11). Solve -2*v - 2*v - 16 = u for v.
-4
Let l = 340 - 238. Suppose -l*u + 46 = -101*u. Suppose 49*q = u*q + 51. Solve -3*s + 5 = q for s.
-4
Suppose 0 = 3*k + k. Let m = 725 + -363. Suppose 376*q - m*q = 0. Solve k = -i - q*i for i.
0
Let p(y) = y**3 - 51*y**2 + 93*y + 263. Let k be p(49). Solve 8*r - k = 6 for r.
3
Suppose -410*n = -405*n - 110. Solve -v - 19 = -n for v.
3
Let h(k) be the third derivative of -11*k**4/24 + 59*k**3/6 + 16*k**2 + 2. Let n be h(5). Solve n*g + 12 = 32 for g.
5
Suppose 5*y = -8*m + 11*m + 13, 7 = -m - y. Let | {
"pile_set_name": "DM Mathematics"
} |
True
Is -661 at least as big as -675?
True
Is 6 not equal to 830.5?
True
Is 0.5966 bigger than -1?
True
Which is smaller: -1338 or -351?
-1338
Do 0 and -290 have the same value?
False
Which is smaller: 0.1 or -1348503/4?
-1348503/4
Do -1/5 and -118183 have the same value?
False
Which is smaller: 0 or 4/1254919?
0
Is 215722 < 215727?
True
Which is smaller: 61956 or 61957?
61956
Is 0 > 234/24971?
False
Which is smaller: 0 or 8/158717?
0
Is -30139 at least as big as -1?
False
Is -48078 less than -47952?
True
Which is bigger: 1 or -66/545?
1
Are -1 and 154/543 unequal?
True
Which is smaller: 1156 or 30?
30
Is -17 less than or equal to 320?
True
Which is bigger: 0.056 or -0.0725?
0.056
Which is smaller: 1 or 131/4072?
131/4072
Which is smaller: -901400/11 or -81944?
-901400/11
Is 2/11 equal to -116/15?
False
Which is smaller: 429179 or 429178?
429178
Is 764565 <= 764565?
True
Are 17219 and -3 non-equal?
True
Which is bigger: 0 or 31/9803?
31/9803
Which is bigger: -8 or -357.5?
-8
Is -28469 bigger than -28470?
True
Is -27/12044 greater than 0?
False
Are 4634 and 4603 equal?
False
Which is bigger: 2990596 or 2990597?
2990597
Which is smaller: 0 or 196076?
0
Which is bigger: -33/545 or 1?
1
Which is smaller: -246249 or -246251?
-246251
Which is bigger: 1263 or 46735/37?
46735/37
Which is smaller: -15 or -3801/241?
-3801/241
Is -287422 smaller than 9?
True
Is 216 <= 5343?
True
Which is greater: 2/7 or -27/398?
2/7
Which is smaller: 1.58 or -13/30?
-13/30
Which is smaller: -24/139753 or -1?
-1
Do 8170 and 16/9 have different values?
True
Is 6964 at most as big as 48746/7?
False
Which is greater: -0.88 or -99?
-0.88
Do 376 and 381 have the same value?
False
Do -0.49 and -1087/3 have different values?
True
Which is bigger: -2644 or 454?
454
Are 1/80557 and -1 nonequal?
True
Which is bigger: 2/7 or 1/3103?
2/7
Which is smaller: -1512623 or -1512622?
-1512623
Is -220/1453 <= 1?
True
Is 51/4757 at most as big as 0?
False
Is -29568 < -29591?
False
Is -1 at most as big as 346/11515?
True
Is 2707 <= 2694?
False
Is 29574 at least as big as 236583/8?
True
Which is bigger: -1 or 2/1050485?
2/1050485
Which is greater: -47206/9 or -5244?
-5244
Are 6946 and 6948 unequal?
True
Is 214 smaller than 11951/56?
False
Is 436 >= -8.5?
True
Is -1 at least as big as 90/8621?
False
Which is smaller: -11 or 861?
-11
Are 1476 and 4/5 non-equal?
True
Is 15851 != 4?
True
Is -13686 smaller than -13688?
False
Which is smaller: -3119 or -3188?
-3188
Which is smaller: 6671 or 6670?
6670
Is 88 > -14747?
True
Is 2.387 > 6/23?
True
Which is smaller: 97 or -1092?
-1092
Is 130153 bigger than 650761/5?
True
Which is smaller: -532 or -0.198?
-532
Which is smaller: -4519095 or 1?
-4519095
Is 3567 < -7?
False
Is -8/9 not equal to -109?
True
Are 617 and -338/3 equal?
False
Which is bigger: -19 or -2988/163?
-2988/163
Which is greater: -123325/4 or -30831?
-30831
Is 668 less than 4797?
True
Which is smaller: 2573.9 or -1/3?
-1/3
Is 5866 less than 5869?
True
Is 0.04 <= -254?
False
Which is greater: 0.06 or -22/13623?
0.06
Which is smaller: 3679 or -71?
-71
Which is greater: -1/4060749 or -1?
-1/4060749
Is -22038/11 bigger than -2004?
True
Is 24553 less than 24558?
True
Does 5867 = 2141?
False
Does 78968 = 78968?
True
Does 13191 = 197846/15?
False
Is -5 not equal to 528428?
True
Which is greater: -988 or -981?
-981
Which is greater: 171160 or 171162?
171162
Is -18731/8 less than -2342?
False
Is -231/2495 less than 0?
True
Which is greater: 0.1 or -9386/5?
0.1
Is 2/7451 smaller than 0?
False
Which is smaller: -348 or -269?
-348
Is 7277 greater than or equal to 7202?
True
Which is bigger: -24/227275 or -1?
-24/227275
Is -192042 less than or equal to -192046?
False
Which is smaller: -2/3773421 or -1?
-1
Is 0.2713 bigger than 1?
False
Which is greater: 113664/19 or 5981?
113664/19
Which is smaller: 12/1765 or -1?
-1
Is 389597 < 389597?
False
Which is smaller: 327586 or 327591?
327586
Which is bigger: -39134 or -39135?
-39134
Does 4/12449 = 1/4?
False
Does 1 = -1652.289?
False
Which is greater: 11138 or 55689/5?
11138
Is 78 < -1563?
False
Is 0.15 <= -4260?
False
Are 684 and 559 equal?
False
Which is smaller: -21/6026 or 1?
-21/6026
Which is greater: 0 or -105/82?
0
Is -3.35 bigger than -106?
True
Which is greater: -11 or -83721?
-11
Is 2.1121 > 1/2?
True
Which is smaller: 5 or -351/34?
-351/34
Is -332113/5 greater than or equal to -66424?
True
Which is smaller: -147 or -33217/224?
-33217/224
Which is greater: -1857 or -1296?
-1296
Is -4288 != -4287?
True
Is -8525/4 equal to -2132?
False
Which is smaller: -5/3801244 or 1?
-5/3801244
Which is greater: 366 or 414?
414
Is 913 > 1162?
False
Are 0 and -137/3644 non-equal?
True
Which is bigger: 14163 or 14162?
14163
Which is greater: 13464 or 13471?
13471
Is -1/2 greater than or equal to 7504.6?
False
Is -7551334 greater than 2?
False
Which is bigger: -36 or -0.4733?
-0.4733
Which is greater: -210/61 or 66?
66
Which is bigger: -12.5 or -1442?
-12.5
Is -11280 >= -11275?
False
Which is greater: 896 or 824?
896
Which is smaller: -3096 or -2985?
-3096
Which is greater: -654 or -912?
-654
Which is greater: 3100 or 2936?
3100
Are 190.29 and -4 nonequal?
True
Which is smaller: 0 or 297/421?
0
Which is greater: -370 or -418?
-370
Which is smaller: 227/2 or 453?
227/2
Which is bigger: 4039/8 or 505?
505
Which is bigger: -0.2 or 328484?
328484
Is 2/664951 at most as big as -1?
False
Which is smaller: -16956 or -16962?
-16962
Which is greater: 0.0285005 or 0.07?
0.07
Is 97040/87 less than 1115?
False
Which is bigger: -9.412 or -16?
-9.412
Is -20 less than or equal to -74/27?
True
Are 98237 and 2 non-equal?
True
Is -80 equal to -79?
False
Does -10755 = -3?
False
Is 150 equal to 7053/47?
False
Does 12 = -1.69?
False
Which is greater: 383 or 1145/3?
383
Which is smaller: 29/40797 or 0?
0
Which is bigger: 110650 or 110642?
110650
Which is smaller: -34/84981 or -1?
-1
Is -948/241 != 0.2?
True
Which is greater: 5/6894 or 0?
5/6894
Are 4/11 and 5806 unequal?
True
Does -623 = 0.09?
False
Which is smaller: -75143/2 or -37573?
-37573
Which is smaller: -269 or -96?
-269
Is -20 bigger than -22?
True
Are -47253 and -236262/5 unequal?
True
Is 33/8266 less than 1?
True
Which is greater: 131957 or 131960?
131960
Which is smaller: -26391/490 or -55?
-55
Is 0 greater than 118208/13?
False
Which is bigger: 177741 or 177742?
177742
Are 461 and 488 nonequal?
True
Which is smaller: -408171 or 2/9?
-408171
Is 5264 less than or equal to 5244?
False
Which is smaller: 10/3 or 5.78?
10/3
Do 0.3 and 2.1454 have the same value?
False
Is -632504 greater than -632503?
False
Which is smaller: 399/151 or 0?
0
Which is smaller: 0.1 or -20543?
-20543
Which is bigger: 0 or 23/74829?
23/74829
Is 14 at least as big as 45179?
False
Which is smaller: 52 or 3692/73?
3692/73
Is -3/969850 >= 0?
False
Are -8804 and -8808 non-equal?
True
Is 28276/13 > 2176?
False
Which is smaller: -0.05 or -2642/5?
-2642/5
Are -311 and -266 non-equal?
True
Is 0.13 smaller than -2/171?
False
Is 11466 bigger than 11466?
False
Which is smaller: -2/67175 or 1?
-2/67175
Which is smaller: 113000/59 or 1915?
1915
Is 0 greater than -1/227816?
True
Is 0 greater than 35/1489?
False
Which is bigger: -14/41 or -282?
-14/41
Is 431345 at least 431339?
True
Is 4/159543 smaller than 1?
True
Which is smaller: -151130/11 or -13738?
-151130/11
Is -23767 >= -23769?
True
Which is bigger: 2 or 5760?
5760
Do 0.327 and -15870 have different values?
True
Which is greater: 249 or 0?
249
Which is bigger: -49 or -1967/40?
-49
Do -0.4 and -442697 have the same value?
False
Is 0 equal to -2/2410961?
False
Is 6740 <= -243?
False
Is -2 greater than 427?
False
Are 324 and 80 nonequal?
True
Which is smaller: 29736 or 29737?
29736
Which is bigger: 173997 or 173992?
173997
Is 1 > 76/277?
True
Which is smaller: -2665 or -42653/16?
-42653/16
Which is smaller: -0.03773 or 130?
-0.03773
Which is smaller: 15/22 or -2144?
-2144
Which is greater: -1 or -1/867008?
-1/867008
Which is bigger: 8835 or 8837?
8837
Are -13472 and -13472 non-equal?
False
Which is smaller: 0 or 10/15311?
0
Which is smaller: -4489 or -4395?
-4489
Which is smaller: -1 or 38/135?
-1
Which is greater: -1138 or -21?
-21
Which is bigger: -315643 or -315641?
-315641
Which is bigger: 1633841 or 163384 | {
"pile_set_name": "DM Mathematics"
} |
9*n**4/2 - 403*n**3/2 - 1152*n**2 - 1146*n - 200 = 0. Calculate n.
-4, -1, -2/9, 50
Factor -2*q**2/9 + 98*q/3 - 1188.
-2*(q - 81)*(q - 66)/9
Factor -2*z**2/5 + 112*z + 1128/5.
-2*(z - 282)*(z + 2)/5
Find l such that -l**2/5 + 33002*l/5 - 98997/5 = 0.
3, 32999
Factor -4*t**2 + 1664*t - 24060.
-4*(t - 401)*(t - 15)
Solve -30*m**3 - 895*m**2 - 4170*m + 720 = 0 for m.
-24, -6, 1/6
Factor -a**2/6 - 45131*a/6 - 22565/3.
-(a + 1)*(a + 45130)/6
Solve -s**5/4 + 33*s**4 + 18567*s**3/4 + 170613*s**2/2 - 1551879*s + 5196798 = 0 for s.
-51, 6, 222
What is v in v**5/7 + 40*v**4/7 + 299*v**3/7 + 620*v**2/7 = 0?
-31, -5, -4, 0
Suppose -h**3 - 1949*h**2 - 1946*h + 3896 = 0. Calculate h.
-1948, -2, 1
Determine y, given that -3*y**3 + 738*y**2 - 3507*y - 26028 = 0.
-4, 9, 241
Factor a**2/2 - 70107*a/2.
a*(a - 70107)/2
Factor -j**2 - 74934*j - 1403776089.
-(j + 37467)**2
Factor -4*i**3 + 344*i**2 + 4406672*i + 1659729312.
-4*(i - 1242)*(i + 578)**2
Factor 2*t**3 + 220*t**2 + 1854*t + 3636.
2*(t + 3)*(t + 6)*(t + 101)
Factor -t**4/5 - 102*t**3 - 60817*t**2/5 + 214608*t - 4426816/5.
-(t - 8)**2*(t + 263)**2/5
Let -2724*i**5 + 8180*i**4 + 62628*i**3 + 89708*i**2 + 37872*i - 112 = 0. What is i?
-2, -1, 2/681, 7
Factor -5*y**2 + 53695*y - 536450.
-5*(y - 10729)*(y - 10)
Factor -2*c**2/23 - 62*c/23 - 456/23.
-2*(c + 12)*(c + 19)/23
Factor 3*o**3 + 26892*o**2 + 214992*o + 429888.
3*(o + 4)**2*(o + 8956)
Factor 3*v**3/4 + 273*v**2/4 - 52452*v - 7291107.
3*(v - 281)*(v + 186)**2/4
Find h such that 3*h**2 - 8040*h - 359568 = 0.
-44, 2724
Factor d**3 + 5266*d**2 - 36905*d + 31638.
(d - 6)*(d - 1)*(d + 5273)
Suppose -i**3/2 - 30*i**2 + 949*i/2 = 0. Calculate i.
-73, 0, 13
Suppose -s**4/6 - 5*s**3/6 + 24*s**2 - 242*s/3 + 224/3 = 0. What is s?
-16, 2, 7
Suppose -4*k**5 - 12*k**4 + 916*k**3 - 1988*k**2 - 42336*k + 175616 = 0. What is k?
-16, -8, 7
Determine d, given that -2*d**5/9 + 52*d**4/9 - 94*d**3/3 - 152*d**2/9 + 760*d/9 + 64 = 0.
-1, 2, 8, 18
Factor -2*b**2 - 2070*b + 10400.
-2*(b - 5)*(b + 1040)
Suppose 2*c**2/11 + 12946*c/11 - 12948/11 = 0. What is c?
-6474, 1
Factor -4*x**5 - 1320*x**4 - 5216*x**3.
-4*x**3*(x + 4)*(x + 326)
Factor -3*u**3 - 711*u**2 - 2781*u + 3495.
-3*(u - 1)*(u + 5)*(u + 233)
Factor -2*n**3/19 + 14260*n**2/19 - 14258*n/19.
-2*n*(n - 7129)*(n - 1)/19
Find w, given that 29584*w**3/7 + 317168*w**2/7 + 217124*w/7 + 38440/7 = 0.
-10, -31/86
Factor 2*h**5 - 10*h**4/7.
2*h**4*(7*h - 5)/7
Solve -5*h**4 + 11865*h**3 - 82805*h**2 - 11865*h + 82810 = 0.
-1, 1, 7, 2366
Find c, given that -3*c**4/2 - 321*c**3 - 35595*c**2/2 - 66150*c = 0.
-105, -4, 0
Suppose 4*l**2 - 74436*l - 74440 = 0. What is l?
-1, 18610
Solve -4*r**2 - 37004*r + 111048 = 0 for r.
-9254, 3
What is u in 4*u**2 + 1224*u - 55360 = 0?
-346, 40
Determine a so that 24*a**5 + 957*a**4 + 816*a**3 - 117*a**2 = 0.
-39, -1, 0, 1/8
Suppose -36*v**4 - 1252*v**3 - 3257*v**2 - 1806*v + 576 = 0. What is v?
-32, -3/2, 2/9
Factor -n**2 - 63164*n - 63163.
-(n + 1)*(n + 63163)
Determine r so that -r**5 + 1776*r**4 - 35252*r**3 + 232112*r**2 - 562176*r + 449536 = 0.
2, 8, 1756
Factor 2*s**3/5 - 66*s**2/5 - 392*s/5 + 18816/5.
2*(s - 28)*(s - 21)*(s + 16)/5
Solve 2*x**5/3 + 1292*x**4/3 + 75254*x**3 + 1821864*x**2 + 6110784*x = 0.
-309, -24, -4, 0
Suppose -5*o**5 + 5*o**4 + 335*o**3 - 965*o**2 + 630*o = 0. What is o?
-9, 0, 1, 2, 7
What is j in -12328*j**2/7 + 3106*j/7 - 6/7 = 0?
3/1541, 1/4
Solve -115*y**5/3 - 11386*y**4/3 + 83966*y**3/3 - 132784*y**2/3 + 59789*y/3 + 530/3 = 0 for y.
-106, -1/115, 1, 5
Determine v so that 2*v**3 - 1876*v**2 - 15136*v = 0.
-8, 0, 946
What is g in 2*g**4/13 + 112*g**3/13 - 3804*g**2/13 + 19584*g/13 - 27702/13 = 0?
-81, 3, 19
Factor -l**3/4 + 360*l**2 - 519837*l/4 + 516961/2.
-(l - 719)**2*(l - 2)/4
Determine u, given that -u**4/5 + 617*u**3/5 - 3186*u**2 = 0.
0, 27, 590
Factor 4*t**3/3 - 3764*t**2/3 + 26176*t/3 - 7472.
4*(t - 934)*(t - 6)*(t - 1)/3
Factor -2*p**4 - 694*p**3 - 65072*p**2 - 826680*p.
-2*p*(p + 15)*(p + 166)**2
Find t such that -5*t**3 + 14080*t**2 + 542075*t + 527990 = 0.
-37, -1, 2854
Factor -3*o**3/4 - 2895*o**2/4 + 3*o/4 + 2895/4.
-3*(o - 1)*(o + 1)*(o + 965)/4
Factor 3*v**2 + 3423*v - 31050.
3*(v - 9)*(v + 1150)
Determine s so that 2*s**2/9 + 14320*s/9 + 42798 = 0.
-7133, -27
Let 4*g**2 + 144440*g + 1303932100 = 0. What is g?
-18055
Find m, given that 81*m**3/5 + 42642*m**2/5 + 3788*m + 2104/5 = 0.
-526, -2/9
Factor -2*u**2/5 - 180*u - 1792/5.
-2*(u + 2)*(u + 448)/5
Let -2*l**3 + 504*l**2 - 24186*l - 1004692 = 0. Calculate l.
-26, 139
Factor 3*r**2 - 4753290*r + 1882813818675.
3*(r - 792215)**2
Solve 50625*u**4 - 354075*u**3 - 2319*u**2 + 1527*u + 42 = 0.
-1/25, 2/27, 7
Determine v so that -2*v**3 + 296*v**2 - 1418*v - 1716 = 0.
-1, 6, 143
Suppose 141*n**2 + 135*n - 294 = 0. What is n?
-2, 49/47
Factor -3*r**2/2 + 2544*r - 1298637/2.
-3*(r - 1383)*(r - 313)/2
Determine j so that -41*j**4/3 - 947*j**3/6 - 884*j**2/3 + 341*j/2 + 9 = 0.
-9, -3, -2/41, 1/2
Solve 4*h**2 - 479296*h + 14357790976 = 0.
59912
Suppose a**4/6 - 23*a**3/6 - 103*a**2/2 + 981*a/2 + 4698 = 0. What is a?
-9, 12, 29
What is i in 507*i**4/2 - 34827*i**3/2 - 161532*i**2 - 48462*i - 3696 = 0?
-8, -2/13, 77
Find i, given that 3*i**3 + 15*i**2 - 108*i - 540 = 0.
-6, -5, 6
Find w such that -36*w**4/7 + 212388*w**3/7 + 283292*w**2/7 - 259652*w/7 + 6744 = 0.
-2, 1/3, 5901
Find l, given that 5547*l**3 + 61533*l**2 + 225504*l + 272484 = 0.
-174/43, -3
Suppose v**4 + 5998*v**3 + 17988*v**2 + 17986*v + 5995 = 0. Calculate v.
-5995, -1
Let -2*z**2 - 86*z - 240 = 0. Calculate z.
-40, -3
Factor -2*m**2/11 - 216*m/11 + 1130/11.
-2*(m - 5)*(m + 113)/11
Suppose -15*a**5 - 9393*a**4 - 7357017*a**3/5 - 1439499*a**2/5 + 939000*a - 1175628/5 = 0. What is a?
-313, -1, 2/5
Factor -99*z**2 - 2697*z - 3198.
-3*(z + 26)*(33*z + 41)
Suppose -50*u**5 - 64465*u**4 + 109815*u**3 + 103195*u**2 - 109765*u - 38730 = 0. What is u?
-1291, -1, -3/10, 1, 2
Factor u**2/5 + 317116*u/5 + 25140639364/5.
(u + 158558)**2/5
Find k, given that 3*k**5 + 204*k**4 - 27*k**3 - 1836*k**2 = 0.
-68, -3, 0, 3
Factor -2*m**2/7 + 10*m/7 + 17100/7.
-2*(m - 95)*(m + 90)/7
Let -4*b**4 + 3732*b**3 - 1081920*b**2 + 100086800*b = 0. What is b?
0, 230, 473
Let 4*i**2 + 400*i - 36656 = 0. What is i?
-158, 58
Factor 2*a**3/7 - 144*a**2/7 - 2360*a/7 - 4128/7.
2*(a - 86)*(a + 2)*(a + 12)/7
Factor 2*f**2/7 - 88716*f/7.
2*f*(f - 44358)/7
What is i in 5*i**3 + 3170*i**2 + 529760*i + 8537760 = 0?
-308, -18
Suppose -3*g**4 - 3030*g**3 + 6072*g**2 = 0. What is g?
-1012, 0, 2
Find a, given that -a**4 - 68*a**3 - 131*a**2 + 68*a + 132 = 0.
-66, -2, -1, 1
Factor 4*t**4 + 12968*t**3 + 38868*t**2.
4*t**2*(t + 3)*(t + 3239)
Determine d so that 2*d**2 - 735184*d + 67561939232 = 0.
183796
Determine h, given that -2*h**3/5 + 1088*h**2/5 - 798*h - 35640 = 0.
-11, 15, 540
Factor 2*i**3/3 + 500*i**2/3 - 2056*i/3 - 2032.
2*(i - 6)*(i + 2)*(i + 254)/3
Find k such that 4*k**3/5 + 1928*k**2/5 - 40436*k/5 - 138552/5 = 0.
-502, -3, 23
Find n such that -14*n**3/13 + 264464*n**2/13 + 717910*n/13 + 453432/13 = 0.
-12/7, -1, 18893
Let -2*d**2/7 + 19382*d/7 = 0. What is d?
0, 9691
Solve u**2/2 + 12339*u + 152250921/2 = 0 for u.
-12339
Find t such that 4*t**2 + 33892*t - 33896 = 0.
-8474, 1
Suppose -6*q**4/17 - 320*q**3/17 - 4872*q**2/17 - 19648*q/17 + 15360/17 = 0. Calculate q.
-30, -16, -8, 2/3
Factor -2*m**4 + 62*m**3 - 448*m**2 - 512*m.
-2*m*(m - 16)**2*(m + 1)
Factor 23*b**2 - 181*b/3 - 380/3.
(b - 4)*(69*b + 95)/3
Determine x, given that -x**4/9 + 2*x**3/9 + 17*x**2/3 + 12*x = 0.
-4, -3, 0, 9
Factor -2*x**3 - 1750*x**2 + 173522*x - 171770.
-2*(x - 89)*(x - 1)*(x + 965)
Find h, given that 2*h**2/7 - 1158*h/7 - 17856 = 0.
-93, 672
Factor -4*r**2 - 1532*r + 67680.
-4*(r - 40)*(r + 423)
Find o such that -2*o**4 + 2916*o**3 - 1059962*o**2 - 2128680*o - 1065800 = 0.
-1, 730
Find m such that -2*m**4/3 - 30*m**3 + 764*m**2/3 + 624*m = 0.
-52, -2, 0, 9
Let -18*m**5/5 - 777*m**4/5 - 444*m**3 + 480*m**2 = 0. What is m?
-40, -4, 0, 5/6
Let -z**5/4 - 15*z**4/4 - 9*z**3 + z**2 + 12*z = 0. What is z?
-12, -2, 0, 1
Determine n, given that 5*n**4 + 5675*n**3 + 1641190*n**2 + 17540020*n + 47376600 = 0.
-562, -6, -5
Factor 3*a**2 - 1140516*a + 108398062188.
3*(a - 190086)**2
What is w in -2*w**4/15 | {
"pile_set_name": "DM Mathematics"
} |
. Let b(x) = 2*x. What is r(b(v))?
-18*v
Let v(u) = -6*u. Let m(t) = 124*t**2. Calculate m(v(y)).
4464*y**2
Let x(l) be the second derivative of l**4/4 + 2*l. Let z(m) = m. Calculate x(z(v)).
3*v**2
Let z(k) = 4*k - 5. Let f(q) = q - 1. Let l(j) = 5*f(j) - z(j). Let v(c) be the second derivative of c**4/3 - 3*c. Determine l(v(s)).
4*s**2
Let w(k) be the first derivative of 0*k + 0*k**2 + 5 + 4/3*k**3. Let g(v) be the third derivative of -v**5/30 + v**2. What is w(g(d))?
16*d**4
Let o(c) = c. Let b be (-4)/5*35/(-14). Let f(d) = -3*d**2 + d**b + d**2. What is f(o(p))?
-p**2
Let z(n) = -30*n - 11. Let x(i) = 5*i**2. What is z(x(r))?
-150*r**2 - 11
Let o(p) = 5*p + 6. Let k(n) = 11*n + 13. Let r(i) = -6*k(i) + 13*o(i). Let d(u) = 10*u. Calculate d(r(y)).
-10*y
Let y(k) = 2*k. Let c(q) = 17*q - 1. What is c(y(u))?
34*u - 1
Let a(t) = 13*t**2. Let h(y) = 3*y - y**2 + 0*y - 3*y. Calculate h(a(n)).
-169*n**4
Let o(h) = 2*h**2. Let q(k) = k - 6. Let w be q(6). Suppose w = -0*u - u. Let n(r) = 3*r + u*r - 7*r. Calculate n(o(j)).
-8*j**2
Let d(f) = f**2. Let r(b) = -68*b**2 + 17*b. Let i(o) = 23*o**2 - 6*o. Let t(w) = -17*i(w) - 6*r(w). Calculate t(d(m)).
17*m**4
Let p(r) = -r**2. Let l(v) = -13*v**2. Let g(i) = l(i) - 6*p(i). Let u(y) = -y. Give g(u(f)).
-7*f**2
Let y(t) be the third derivative of t**4/12 + t**2. Let b(o) be the first derivative of 0*o**2 - 2 + 0*o + 4/3*o**3. What is b(y(j))?
16*j**2
Let p(a) be the third derivative of -a**5/30 - 5*a**2. Let k(q) = -4*q. What is k(p(l))?
8*l**2
Let y = 3 + 1. Let i(k) = 2*k + k - y*k. Let t(q) = -q**2. What is t(i(a))?
-a**2
Let u(b) be the first derivative of -2*b**3/3 + 28. Let t(y) = y - 13*y**2 - y. What is u(t(h))?
-338*h**4
Let j(t) = -213*t**2. Let x(i) = 2*i**2. What is x(j(d))?
90738*d**4
Let f(n) = -n - 1. Let a(c) = 7*c**2 + 35*c + 35. Let s(o) = -a(o) - 35*f(o). Let d(b) = -5*b. Calculate s(d(m)).
-175*m**2
Let m(d) = -1. Let b(h) = h - 4. Let y(g) = -b(g) + 4*m(g). Let o = 0 + 4. Let w(q) = -2 - o*q + 2. Determine w(y(p)).
4*p
Let o(x) = 2*x**2. Let b(z) be the third derivative of -z**6/180 + z**3/2 + 3*z**2. Let p(m) be the first derivative of b(m). Determine p(o(d)).
-8*d**4
Let c(v) = -2*v**2 + 2989. Let u(i) = i. Give c(u(r)).
-2*r**2 + 2989
Let p(g) = g. Let w(j) = j**2 + 4*j + 2. Let t be w(-4). Suppose -4*r + 9 = 1. Let a(k) = 0*k**t + k**2 + k**r. Determine a(p(d)).
2*d**2
Let h(s) = -11*s**2 - 8*s + 8. Let p(j) = 2*j**2 + 3*j + 6*j**2 - 3 - 2*j**2 - 2*j**2. Let o(l) = 3*h(l) + 8*p(l). Let m(z) = 2*z**2. Determine o(m(f)).
-4*f**4
Let p(z) be the first derivative of -3*z**2 + 1. Let n(c) = -8*c**2 - 6. Let x(u) = 7 + 5*u + 9*u**2 - 5*u. Let w(q) = -7*n(q) - 6*x(q). Give p(w(s)).
-12*s**2
Let t(w) = -8*w. Let l(d) = -15*d**2. Calculate t(l(x)).
120*x**2
Let j(s) = -16*s**2. Let p(f) = 9*f + 10. Let m(v) = -5*v - 4. Let y(w) = 5*m(w) + 2*p(w). Give y(j(r)).
112*r**2
Let d(a) = -2*a. Let u be 2/(-8) - 34/(-8). Let k(q) = 4 + 0 + 1 + u*q + 1. Let v(y) = 7*y + 11. Let t(l) = -11*k(l) + 6*v(l). Give d(t(m)).
4*m
Let z(j) = 12*j. Let g(s) be the third derivative of -s**4/24 + 18*s**2. Determine g(z(w)).
-12*w
Let d(o) be the second derivative of -o**3/3 - o. Let w(u) = -4*u. What is d(w(t))?
8*t
Let r(p) = -1 - 4*p + 6*p + 1. Let u(v) = -v. Give u(r(n)).
-2*n
Let y(f) be the first derivative of f**4/12 + f - 2. Let r(l) be the first derivative of y(l). Let b(o) = -2*o**2. Give r(b(s)).
4*s**4
Let x(a) = 4*a**2. Let r(p) = -166*p**2. What is x(r(h))?
110224*h**4
Let x(z) = -9*z. Let h(r) = 930*r**2. Calculate x(h(s)).
-8370*s**2
Let q(l) be the first derivative of 2 + 0*l**2 + 0*l + 1/3*l**3. Let x(c) be the third derivative of c**4/12 + 2*c**2. Give x(q(f)).
2*f**2
Let k(w) = -21*w**2. Let h(x) = 52*x - 4. What is k(h(n))?
-56784*n**2 + 8736*n - 336
Let s(v) = 4*v**2. Let y(j) be the second derivative of 5*j**4/6 + 7*j. Give y(s(r)).
160*r**4
Let l(c) be the third derivative of c**4/6 - 35*c**2. Let j(r) = -2*r**2. Give j(l(q)).
-32*q**2
Let m(x) = x + 6. Let h be m(-4). Let d(l) = h*l + l - 1 + 1. Let s(j) be the second derivative of j**3/6 + j. Determine s(d(n)).
3*n
Suppose -5 = -5*r, -5*p + 13 = -2*r - 0. Let j(m) = 2 + 2*m - 2 - p*m. Let g(y) = 1. Let n(s) = 3*s - 18. Let h(w) = -18*g(w) - n(w). Determine h(j(z)).
3*z
Let a(m) = 2*m**2. Let n(q) = -q**2. Let j(w) = -w - 1. Let y be j(2). Let u(c) = y*a(c) - 4*n(c). Let k(v) = 3*v**2 - 3*v**2 + v**2. What is k(u(x))?
4*x**4
Let u(t) = -t. Let g(w) = w**3 + w**2 - w. Let r be g(-1). Let h(d) = 1 - r + 16*d - 15*d. Give u(h(x)).
-x
Let j(c) be the first derivative of 4*c**3/3 + 1. Let h(q) = 2*q. Calculate j(h(d)).
16*d**2
Let u(i) be the second derivative of i**4/4 + i. Let x(d) = -2*d**2. Calculate u(x(b)).
12*b**4
Let u(n) = -13*n. Let z(c) = 33*c. Determine z(u(d)).
-429*d
Let l(n) be the third derivative of -n**8/6720 - n**5/15 - 3*n**2. Let q(m) be the third derivative of l(m). Let h(v) = 2*v. Calculate q(h(u)).
-12*u**2
Let z(i) = 2*i. Let f(y) = -4*y. Let s(t) = 3*f(t) + 7*z(t). Suppose 3*x + b - 3 = 0, -5*x + 3 = 2*b - 1. Let h(v) = 0*v**x + 4*v**2 - 6*v**2. What is s(h(a))?
-4*a**2
Let o(q) = -q**2. Suppose 5*b + 4*c = -7, 5*b + 0*c + c = 2. Let l(d) = 21*d**3 - 2*d**2 + d. Let j be l(b). Let y(s) = j - 2*s - 20. What is y(o(x))?
2*x**2
Let o(s) = 2*s**2. Let x(g) = 7*g**2 + 6*g - 3. Let y(f) = 133*f**2 + 112*f - 56. Let d(v) = 56*x(v) - 3*y(v). Calculate d(o(r)).
-28*r**4
Let h(l) = l**3 - 6*l**2 + 5*l + 2. Let u be h(5). Let q(n) = 23 - 23 - u*n**2. Let x(m) = 2*m**2. Give q(x(b)).
-8*b**4
Let j(i) = -5*i + 5*i + 4*i**2. Let g(d) = d**2 + 0*d**2 - 2*d**2. What is j(g(q))?
4*q**4
Let z(s) = -s - 21. Let g(j) = j**2. Determine z(g(l)).
-l**2 - 21
Let f(s) be the first derivative of s**3 - 13. Let l(a) = 0 + a**2 + 0. Determine f(l(o)).
3*o**4
Let z(r) = 2*r - 118. Let j(s) = -10*s. Give j(z(v)).
-20*v + 1180
Let v(o) = 4*o + 2. Let r(s) = 3 + s + s + 3*s. Let i(j) = -4*r(j) + 6*v(j). Let k(m) be the first derivative of m**2 - 19. Calculate k(i(x)).
8*x
Suppose -5*g + 6 + 24 = 0. Let t(h) = h + h - g*h + 3*h. Let i(y) be the second derivative of y**3/6 - y. What is t(i(v))?
-v
Let s(p) = 3*p**2. Let c(g) = g**2 + g - 4. Let q be c(-3). Let m(a) = 2*a**q - 3*a**2 - a**2 + a**2. Calculate m(s(i)).
-9*i**4
Let c(u) = -u**2. Let m(h) = -3372*h**2. Give m(c(w)).
-3372*w**4
Let u(k) = -6*k**2. Let x(w) = -10*w - 3*w + 11*w. Determine x(u(c)).
12*c**2
Let y(l) = l. Let s(v) = -43*v**2 + 1. What is y(s(p))?
-43*p**2 + 1
Let t be (-7)/(-3)*(1 - -2). Suppose -5*m = -t - 3. Let h(u) = -2*u**2 - 4*u**m + 22*u - 22*u. Let g(a) = -a**2. What is g(h(n))?
-36*n**4
Let w(a) = 5*a**2. Let d be (-3 + 0)/((-1)/1). Let j(f) = -f**2 - 2*f**2 + d*f**2 + f**2. What is w(j(v))?
5*v**4
Let a(y) be the second derivative of -2*y**3/3 - 35*y. Let w be 2 - 0*(-2)/(-2). Let o(t) = t**2 - 2*t**w - t**2. Calculate a(o(x)).
8*x**2
Let a(p) = -p. Let j(d) = d + 4*d - 5*d - d. Calculate j(a(x)).
x
Let m(q) = 2*q - 3 + 3. Let h(b) be the third derivative of -b**4/8 + b**2. Determine m(h(c)).
-6*c
Let m = 0 + 6. Let h(p) = -4*p**2 - 11. Let a(s) = -s**2 - 3. Let v(t) = m*h(t) - 22*a(t). Let y(o) = 2*o. Give v(y(l)).
-8*l**2
Let o(j) = j. Let y(n) = 3912*n**2. Determine y(o(l)).
3912*l**2
Let y(f) = 2*f**2. Let n(b) = -b + 3*b + 3 + 8 - 4. Determine n(y(c)).
4*c**2 + 7
Let f(q) be the first derivative of -2 + 0*q + 2/3*q**3 + 0*q**2. Let a(b) = 12*b**2. Give a(f(p)).
48*p**4
Let p(a) = -4*a**2 - 3*a + 3. Let c(t) = -t**2 - t + 1. Let h = 7 + -8. Let r(q) = h*p(q) + 3*c(q). Let l(j) = -4 + 4 + 5*j. What is r(l(w))?
25*w**2
Let i(p) = 4*p**2. Let t(o) be the third derivative of -o**8/20160 - o**5/20 + 2*o**2. Let n(h) be the third derivative of t(h). What is i(n(z))?
4*z**4
Let f(h) = -2*h. Let r(w) = -142*w - 138*w + 160*w. Determine f(r(j)).
240*j
Let g(a) be the second derivative of -a**3/3 + a. Let o(i) be the third derivative of -i**4/8 + 94*i**2. Determine g(o(q)).
6*q
Let n(w) be the first derivative of w**3/3 + 2. Let m(y) = 155*y. Let u(f) = -11*f. Let o(d) = 6*m(d) + 85*u(d). Determine o(n(s)).
-5*s**2
Let y(i) = i. Let m(d) = 3*d + 47. Let u be m(-15). Let a(v) be the second derivative of 3*v + 0*v**u + 1/2*v**3 + 0. Calculate y(a(w)).
3*w
Let p(g) = | {
"pile_set_name": "DM Mathematics"
} |
t j(u) = -2*u**2 - 22*u - 36. Let b be j(-10). What is the tens digit of (-104)/b - 6 - (-119)/2?
6
Suppose -m + 8*m = 30989. Suppose 3*y - 4*t = 5272, -4*y = -3*t - m - 2614. What is the thousands digit of y?
1
Let o = -1 - 73. What is the tens digit of o/333 - (-659)/9?
7
What is the hundreds digit of -4 + 11 - (-3)/(-6)*-17234?
6
Let a(r) be the second derivative of -1/20*r**5 + 1/2*r**2 - 2*r**3 + 0 + r + 11/12*r**4. What is the tens digit of a(8)?
9
Let o = -201 + 203. What is the hundreds digit of (-11)/(-3)*3/o*30?
1
Suppose 0 = -6*h - 5860 + 23422. Suppose -4*g + q + 342 + h = 0, 3*g - q - 2453 = 0. What is the units digit of g?
6
Let h(q) = 3*q**2 - 120*q + 819. What is the units digit of h(62)?
1
Suppose -8*o + 402 = -4*o - 2*y, 4*o - y - 407 = 0. Let t = o - -1453. What is the thousands digit of t?
1
Let j(g) = 8*g**3 + 18*g**2 + 73*g - 879. What is the thousands digit of j(16)?
7
Let o = 9496 - -1480. What is the units digit of o/26 + (-60)/390?
2
Let l be (-2)/4 + (-151)/2. Suppose 1013*z - 2235 = 998*z. Let v = l + z. What is the units digit of v?
3
Let t(y) = 74408*y**3 - 2*y**2 + 46*y - 44. What is the tens digit of t(1)?
0
Let c(k) = -21*k**3 + 3*k**2 - 4*k - 8. Let a be c(-2). Let z = a + 192. What is the hundreds digit of z?
3
Let p = 225 + -212. Suppose p*a = 287 + 2573. What is the units digit of a?
0
Let b(w) = w - 3. Suppose 0 = 4*h + 4*g - 32, h - 2*g - 3 = -4. Let k be b(h). What is the tens digit of 1 - (30/k)/((-9)/18)?
3
Suppose 4951 = 4*r - 12*r + 59943. What is the tens digit of r?
7
Let w(f) = 1725*f**2 - 13*f + 23. What is the units digit of w(2)?
7
Let l = -7523 - -3923. What is the tens digit of l/270*(-30)/4?
0
Let t(i) = -i**2 - 38*i - 351. Let n be t(-17). Let m be 1 - (1*-2 - 210). Suppose -195 = -n*c + m. What is the tens digit of c?
6
Suppose w - 3*s = -51, -5*w + 2*s - 58 = 145. Let n(p) = -p**2 - 42*p - 39. What is the units digit of n(w)?
8
Let w = -401 + 414. Suppose -w*p = -16462 + 5113. What is the tens digit of p?
7
Suppose -19*n - 2*k + 16894 = -15*n, -k = -5*n + 21128. What is the tens digit of n?
2
Let d be 36 - (8/(-3))/((-28)/42). Suppose 6529 + 4063 = d*q. What is the units digit of q?
1
Suppose j + 22 = 12*j. Suppose 113 = 4*l - 3*v, 0 = 4*l - 3*v - j*v - 111. What is the tens digit of l?
2
Suppose -1099*q = -1127*q + 939344. What is the ten thousands digit of q?
3
Suppose 3*r = 5*k + 244, -4*r + k = -3*r - 80. Let z = 108 - r. What is the units digit of z?
0
Suppose -j = -5*j + 88. Suppose 5*h - 2*v + 7 = 0, -2*h + 0*h - 4*v = j. What is the units digit of ((-44)/h)/2*12?
8
Let k = -487 - -996. What is the hundreds digit of k?
5
What is the hundreds digit of ((-45008)/6)/(14/(-21))?
2
Let s(y) = -10 + 2*y - 8*y + y. Suppose 4*t + 8 - 53 = 5*i, i - 5*t = -9. What is the units digit of s(i)?
5
Suppose 126 + 449 = -23*f. What is the tens digit of (-10)/4*(f + 7)?
4
Let y(d) = 322*d**3 + 4*d**2 + 18*d - 46. What is the units digit of y(2)?
2
Suppose 305*k + 7690202 - 19717572 = 0. What is the units digit of k?
4
Let p = 28044 - 7753. What is the tens digit of p?
9
Suppose 0 = -8*g + 13*g + 2220. Let o = g + 623. What is the units digit of o?
9
Suppose -17*x - 72033 = -4*p - 20*x, -3*p + 2*x = -54046. What is the hundreds digit of ((-4)/(-6))/(19/p)?
6
Let n(h) = -3*h - 4. Let u be n(-2). What is the hundreds digit of 0 + (309/u)/((-4)/(-24))?
9
Suppose 0 = -7*y + 29*y + 66. Let d(a) = -12*a**3 + a**2 - 5*a - 23. What is the tens digit of d(y)?
2
What is the tens digit of 1 + 4 + -2 + -2 + -4 + 51308?
0
Let x(a) = a**2 - 3*a - 6. Let d be x(-6). Let h = -2 + 5. Suppose -d = h*y - 459. What is the tens digit of y?
3
Suppose -66 = -2*h - 114. Let l be 1559/7 + (h/14 - -2). Let w = -154 + l. What is the tens digit of w?
6
Suppose 3*l + 12 = 6*l. Let n(t) = t + 13. Let s be n(-8). Suppose -943 = -l*f + s*a - 311, 467 = 3*f - 2*a. What is the units digit of f?
3
Suppose 2*z - 65330 = -4*v, 7*v - 5*v = z + 32659. What is the hundreds digit of v?
3
Let j = 14 + -34. Let a = 14 + j. What is the units digit of a/15 + 84/10?
8
Let l be -7 + -1 + (-4312)/(-11). Suppose -4*m + 2750 = -3*i - l, 5*m + i = 3927. What is the units digit of m?
5
Suppose -x - 9 = -45. Let m = x + -34. Suppose c = m*c + 2*v - 124, -c - 5*v = -121. What is the tens digit of c?
2
Let r be 8/2*(8 + -6). Let c be 4222/16 - 4/(-32). Suppose c = -2*o + r*o. What is the tens digit of o?
4
Let y be (-12)/4 - (-4 + 4665/5). Let l = 1321 + y. What is the hundreds digit of l?
3
Suppose 7 = 3*t - 14. Suppose 4*v - 77 = -t*v. What is the units digit of (42/10)/(((-7)/(-10))/v)?
2
Let v(g) = 12*g**2 - 15*g - 60. Let d(q) = -35*q**2 + 45*q + 179. Let u(b) = -3*d(b) - 8*v(b). What is the units digit of u(9)?
7
Suppose -69786 = 13*j - 14510. Let q = -2739 - j. What is the units digit of q?
3
Let y = 42 - 20. Let k = -10 + y. Suppose 215 = -7*z + k*z. What is the units digit of z?
3
Suppose -5*f - j + 31 = -3*j, -5*j = -f + 20. Suppose -5*s = -2*r + 137, -2*s = -f*r - 3*s + 410. What is the units digit of (-6 + r/6)*144/10?
8
Let g = -321 + 76. Let i = g - -252. What is the units digit of i?
7
Let d(j) = 737*j**2 - 20*j + 41. What is the thousands digit of d(3)?
6
Suppose 3*s - 10356 = 1308. What is the thousands digit of s?
3
Let a = 23307 - 16058. What is the thousands digit of a?
7
Let a = 73 + 2067. What is the hundreds digit of a?
1
Suppose 234 = -19*o + 310. Let q be 4 - (6/3 + -2). Suppose q*p = -o*k + 128, -4*k = -5*p + 6*p - 41. What is the units digit of p?
9
Let z(b) = 2*b - 42. Suppose 2*n - 48 = -4*r, n = -n + 4*r + 40. Let s be z(n). Suppose 4*l - 118 + 306 = s*c, -2*c + 174 = 3*l. What is the tens digit of c?
9
Let w(v) = 5159*v**3 - 19*v**2 + 21*v - 2. What is the units digit of w(1)?
9
Let k(r) = -6 + 149*r - 165*r + 60. What is the hundreds digit of k(-14)?
2
Let s(m) be the third derivative of -m**4/24 + 11*m**3/6 - 7*m**2. Let b be s(6). Suppose -240 = -b*r + 135. What is the tens digit of r?
7
What is the thousands digit of 13622 + (-42)/(-8) + 99/(-396)?
3
Let z(g) = -2*g**2 + g + 3. Let d be z(0). Suppose -5*c = 3*j + 515 - 1496, -1005 = -3*j + d*c. What is the tens digit of j?
3
Let h be (-2)/(2 - (-64)/(-30)). Suppose 9 + 9 = 2*v + 4*m, 5*v - h = 5*m. Suppose 52 = f - v. What is the units digit of f?
7
What is the ten thousands digit of (-66327)/((5 - (-78)/(-12))*2)?
2
Suppose 4 = -o + 5*o. Let x(v) = 132*v**2 + 5*v + 18. Let l(j) = 395*j**2 + 14*j + 49. Let s(g) = 4*l(g) - 11*x(g). What is the hundreds digit of s(o)?
1
What is the units digit of 6*(-7)/84 - (-2)/((-4)/(-34779))?
9
Suppose 0 = -3*m - r + 52657, 9*m - 52655 = 6*m - 2*r. What is the ten thousands digit of m?
1
Let d(m) = m**3 + 17*m**2 + 24*m + 35. Let v be d(-16). Let a = 207 + v. What is the units digit of a?
4
Suppose -3*f = 2*z - 206, -3*z + 3*f + 448 = z. Let j = z + 101. What is the tens digit of j?
1
Let n(c) = -326*c - 8 + 11*c**2 + 634*c - c**3 - 317*c. What is the units digit of n(8)?
2
Suppose 9 = 23*b + 9. Suppose -o + 2081 - 297 = b. What is the hundreds digit of o?
7
Let k be (-3)/(-6) + 49/(-2). Let g be (2/4 - 0) + 12/k. Suppose g = -2*x + 52 - 8. What is the units digit of x?
2
Suppose -10*b = -23446 - 11724. What is the hundreds digit of b?
5
Let o be 2894/42 - 4/(-42). Let z = 315 - o. What is the units digit of z?
6
Suppose 14*l - 3*l + 132 = 0. Let t be (5 - (-8)/l)*-3. Let o = t + 141. What is the tens digit of o?
2
Suppose -3*w + 210 = -3*n - 0*w, 0 = 4*n + 2*w + 250. Suppose d = -3*d - 432. Let h = n - d. What is the tens digit of h?
4
Suppose -276 + 51 = -9*v. Let x = v + -25. Suppose x = -f - 6*f + 735. What is the hundreds digit of f?
1
Suppose 4*g - 41 + 13 = 0. What is the units digit of 2538/21 + 1/g?
1
Suppose -5*o + 30610 = 5*h, -2*h - 7*o = -8*o - 12265. What is the tens digit of h?
2
Let t be (-1080)/(-96)*(-16)/6. What is the thousands digit of (2234 - t)*(-1)/(-2)?
1
Suppose -z + 5*z = 5*q - 216, 0 = -5*q. Let m be ((-4)/3 - -1)/(9/z). Suppose 2*a - 95 - 21 = m*f, 2*a = 3*f + 111. What is the units digit of a?
3
Suppose -4*a + 271 = 4*l - 313, 3*a - 5*l = 422. Let g = a + 70. What is the hundreds digit of g?
2
Suppose -374 = 11*c + 4774. Let b = 713 + c. What is the hundreds digit of b?
2
Suppose -118*y + 450213 + 15 | {
"pile_set_name": "DM Mathematics"
} |
28142482.
102
Calculate the greatest common divisor of 10674 and 1758.
6
Calculate the greatest common factor of 522 and 5161536.
522
Calculate the highest common factor of 908939 and 438277.
2159
Calculate the greatest common factor of 16168437 and 18029.
149
Calculate the highest common factor of 3458131 and 5254.
37
What is the highest common divisor of 141011788 and 916?
916
What is the greatest common divisor of 91750208 and 2544?
848
Calculate the highest common divisor of 475 and 284643275.
475
What is the greatest common factor of 25616376 and 24?
24
Calculate the highest common divisor of 60 and 48948555.
15
Calculate the greatest common divisor of 79990690 and 195.
65
Calculate the highest common divisor of 2454130 and 2030.
70
What is the greatest common factor of 1666 and 1315356?
98
What is the highest common divisor of 616 and 3029015?
11
Calculate the greatest common divisor of 5024 and 1113444.
628
What is the highest common divisor of 952 and 17124338?
238
What is the greatest common divisor of 914400 and 181800?
1800
What is the greatest common divisor of 56885 and 2716375?
155
Calculate the greatest common factor of 854265228 and 2878.
2878
What is the highest common factor of 370 and 999230?
10
Calculate the greatest common factor of 401481 and 1359.
9
Calculate the highest common factor of 714 and 10612692.
102
What is the highest common divisor of 165123 and 22527?
9
What is the greatest common factor of 6322230 and 279396?
3582
Calculate the highest common divisor of 1995171 and 4080.
51
Calculate the greatest common factor of 1053 and 387472410.
1053
Calculate the greatest common divisor of 548169 and 587404.
1121
Calculate the greatest common divisor of 103506 and 6058.
26
Calculate the highest common factor of 63 and 2295825399.
63
What is the highest common divisor of 11001662 and 3546?
394
Calculate the greatest common divisor of 151 and 1877334378.
151
What is the greatest common factor of 240 and 153405690?
30
What is the highest common factor of 201227 and 44551?
299
Calculate the greatest common factor of 3688 and 13369.
461
Calculate the highest common divisor of 524 and 23647334.
262
Calculate the highest common factor of 22200 and 54279.
111
Calculate the greatest common divisor of 694540385 and 517.
517
What is the highest common divisor of 73276 and 80724?
28
Calculate the greatest common divisor of 258727628 and 89.
89
What is the highest common factor of 4292316 and 3066?
42
Calculate the highest common divisor of 3015 and 1058580.
45
What is the greatest common divisor of 10096 and 7275430?
1262
What is the greatest common factor of 87870688 and 160?
32
What is the greatest common divisor of 91314 and 61670770?
3382
Calculate the highest common divisor of 6042 and 599589.
159
Calculate the greatest common divisor of 19033 and 105015937.
2719
Calculate the highest common factor of 21450 and 717450.
150
What is the highest common factor of 396680284 and 2548?
2548
Calculate the greatest common factor of 252397 and 514679.
659
What is the greatest common divisor of 25547888 and 32?
16
What is the highest common factor of 25576 and 1787123?
3197
Calculate the greatest common divisor of 3566240 and 14012.
124
What is the highest common divisor of 5955800272 and 16?
16
Calculate the greatest common factor of 32 and 18474352.
16
What is the greatest common factor of 12 and 6639510?
6
What is the highest common divisor of 16 and 38971928?
8
What is the greatest common factor of 2795975 and 17150?
175
What is the highest common divisor of 5629448 and 4131?
17
Calculate the greatest common divisor of 5667001 and 1445.
289
What is the greatest common divisor of 5012040 and 10560?
1320
Calculate the highest common factor of 1252 and 204313254.
626
What is the greatest common divisor of 4900273 and 57981?
1757
Calculate the highest common factor of 142 and 95865052.
142
Calculate the highest common factor of 16 and 249298928.
16
What is the highest common factor of 25158 and 211512?
42
Calculate the highest common factor of 73739 and 2622.
19
What is the greatest common divisor of 18949470 and 58290?
870
Calculate the greatest common divisor of 117106500 and 5283.
1761
Calculate the greatest common factor of 46656 and 19792.
16
What is the highest common divisor of 403110267 and 753?
753
What is the greatest common divisor of 9 and 1214589141?
9
Calculate the greatest common divisor of 9389394 and 426.
6
Calculate the highest common divisor of 3194570 and 30.
10
Calculate the greatest common divisor of 270 and 781730.
10
What is the highest common factor of 234256 and 18656?
176
What is the highest common factor of 107569 and 38357?
121
Calculate the greatest common divisor of 10804235 and 1690.
65
What is the greatest common factor of 2754 and 608958?
162
Calculate the greatest common factor of 36739927 and 6475.
259
Calculate the highest common factor of 116 and 5361549.
29
What is the highest common factor of 3 and 75464624?
1
What is the greatest common divisor of 12913230 and 251300?
3590
Calculate the highest common divisor of 6528 and 55922112.
3264
Calculate the highest common divisor of 3437305 and 5.
5
Calculate the highest common factor of 151848 and 372.
12
Calculate the highest common divisor of 147 and 12528663.
147
What is the highest common divisor of 427131 and 792?
9
What is the greatest common factor of 8662 and 422521?
71
What is the greatest common divisor of 692339 and 39803?
53
What is the highest common divisor of 79355920 and 280?
280
What is the greatest common divisor of 3952 and 272464?
16
What is the highest common divisor of 204 and 141915252?
204
Calculate the greatest common factor of 388 and 1083116.
4
What is the highest common factor of 83900 and 933700?
100
What is the highest common factor of 208 and 4727440?
16
What is the highest common factor of 41 and 65210213?
41
Calculate the greatest common factor of 33920 and 385310.
530
Calculate the greatest common factor of 11722206 and 174.
174
What is the greatest common factor of 548594 and 430?
86
What is the greatest common divisor of 296 and 38909459?
37
Calculate the greatest common divisor of 213139786 and 2846.
2846
Calculate the greatest common divisor of 26967 and 53025.
303
What is the highest common divisor of 204 and 1584621?
51
Calculate the highest common divisor of 4153002 and 11102.
854
What is the greatest common divisor of 7884032 and 112?
16
What is the greatest common factor of 186 and 436424169?
93
Calculate the greatest common factor of 193904 and 92.
4
Calculate the greatest common divisor of 24 and 7631256.
24
What is the greatest common divisor of 36544 and 103488?
64
Calculate the greatest common divisor of 1936 and 1654433.
121
What is the highest common factor of 16665341 and 589985?
6941
Calculate the greatest common factor of 14238 and 606942.
126
What is the greatest common factor of 2144 and 68986148?
268
Calculate the greatest common factor of 35 and 570981775.
35
What is the greatest common factor of 4715575 and 1180?
295
Calculate the highest common divisor of 220 and 1735.
5
What is the greatest common divisor of 58659936 and 56?
8
What is the greatest common factor of 2982490 and 7672?
1918
Calculate the greatest common factor of 963 and 25367031.
9
Calculate the greatest common factor of 5283 and 3219108.
1761
Calculate the highest common divisor of 3393 and 38141844.
1131
What is the highest common divisor of 11210043 and 91?
13
Calculate the greatest common factor of 16131 and 143619670.
5377
Calculate the highest common factor of 36052124 and 1343.
79
What is the greatest common divisor of 880000 and 48?
16
Calculate the greatest common divisor of 68202 and 3699.
27
What is the highest common divisor of 139992 and 177600?
24
Calculate the highest common divisor of 240730730 and 11150.
2230
Calculate the highest common factor of 575319 and 19.
1
Calculate the highest common factor of 38570 and 30409690.
5510
Calculate the highest common divisor of 1333 and 3251807.
31
Calculate the greatest common divisor of 27516888 and 6048.
1512
What is the greatest common factor of 728480 and 3401120?
4640
What is the greatest common factor of 178194465 and 4806?
2403
Calculate the highest common diviso | {
"pile_set_name": "DM Mathematics"
} |
e terms in -60*h**2 + 0*h**2 - 34*h**2 - 64*h**2.
-158*h**2
Collect the terms in 9999*r - 9999*r - r**3.
-r**3
Collect the terms in -3 + 5*o - 16*o + 3.
-11*o
Collect the terms in 17297 - h - 17297.
-h
Collect the terms in -163*z + 5*z**3 + 163*z.
5*z**3
Collect the terms in -86*m**2 - 4*m + 6*m**3 + 86*m**2.
6*m**3 - 4*m
Collect the terms in -26*o + 29*o - 2*o.
o
Collect the terms in 142 - 239*w - 142 + 243*w.
4*w
Collect the terms in -6*u + 3*u + 10*u.
7*u
Collect the terms in -559*p**2 + 304*p**2 + 288*p**2.
33*p**2
Collect the terms in -402 + 402 - 7*j**2.
-7*j**2
Collect the terms in 38 - 86 + 48 + 6*v**3.
6*v**3
Collect the terms in 27089 - a**2 + 3*a**2 - 27089.
2*a**2
Collect the terms in 25*a - 14*a + 18*a**2 - 11*a.
18*a**2
Collect the terms in -h**2 + h - 19*h**2 + 3*h**2.
-17*h**2 + h
Collect the terms in 6*b**2 + 91*b - 9*b**2 - 91*b.
-3*b**2
Collect the terms in -10*l + l + 2*l + 5*l - l.
-3*l
Collect the terms in -29*o + 29*o - 15*o**2.
-15*o**2
Collect the terms in 0*y**3 - 490*y + y**3 + 490*y + 2*y**3.
3*y**3
Collect the terms in 8567*i - 25705*i + 8567*i + 8571*i + i**3.
i**3
Collect the terms in 363*l**3 + 0*l**2 + 0*l**2 + 304*l**3.
667*l**3
Collect the terms in 0*s**2 - 3*s**2 + 9*s**2 - 2*s**2.
4*s**2
Collect the terms in -30*c**3 + 91*c**3 - 33*c**3 - 26*c**3.
2*c**3
Collect the terms in -292*m**3 - 292*m**3 + 585*m**3.
m**3
Collect the terms in 2*t + 5*t - t + 0*t.
6*t
Collect the terms in 123*p**3 - 35*p**3 - 49*p**3 - 41*p**3.
-2*p**3
Collect the terms in -39*c**3 + 29*c**3 - 23*c**3 - 40*c**3.
-73*c**3
Collect the terms in 46*b**3 + 2*b**2 + 0*b**2 + 26*b**3.
72*b**3 + 2*b**2
Collect the terms in 9787 - 13*y**2 - 9787 + 15*y**2.
2*y**2
Collect the terms in -4*x - 2124*x**3 + 4*x + 255*x**3.
-1869*x**3
Collect the terms in -6*q**3 + 2*q**3 + 4*q**3 + 18*q**3.
18*q**3
Collect the terms in -1 - 8*t**3 + 20*t**2 - 20*t**2.
-8*t**3 - 1
Collect the terms in 13*w + 13*w + 5*w - 27*w.
4*w
Collect the terms in -h**2 - 2190 + 2190 - 2*h**2.
-3*h**2
Collect the terms in 0*v + 2*v - 2*v - 7*v**3.
-7*v**3
Collect the terms in -2*f + 11 - 12 + 37.
-2*f + 36
Collect the terms in -s - s + 60 - 10*s.
-12*s + 60
Collect the terms in 75*z**2 - 58*z**2 - 25*z**2.
-8*z**2
Collect the terms in 5*c + 3236 - 3236.
5*c
Collect the terms in -11 - 11*v**2 + 26*v**2 + 4 + 10.
15*v**2 + 3
Collect the terms in -5*w**2 + 9*w**2 - 5*w**2 - 11*w**2 + 11*w**2.
-w**2
Collect the terms in 2*y**2 + 103*y**2 + 36*y**2.
141*y**2
Collect the terms in 10*r**3 + 9*r**3 - 17*r**3.
2*r**3
Collect the terms in -5146 + 5146 - 2*q.
-2*q
Collect the terms in 18*a**3 + 53*a**3 - 49*a**3.
22*a**3
Collect the terms in 2*k**2 - 7*k**2 - 12*k**2 - 14*k**2 + 7*k**2.
-24*k**2
Collect the terms in -32*y**3 - 805*y + 805*y.
-32*y**3
Collect the terms in 5*r**3 - 5*r**3 - 5*r**3.
-5*r**3
Collect the terms in -24 - 42 + 4*a**3 + 277 - 2*a**3.
2*a**3 + 211
Collect the terms in -7*d**2 - 2*d**2 - 2*d**2 - 4*d**2 + 16*d**2.
d**2
Collect the terms in -169*r + 40*r + 41*r + 83*r.
-5*r
Collect the terms in 7*c**2 + 256*c**3 - 129*c**3 - 125*c**3.
2*c**3 + 7*c**2
Collect the terms in 33*y + 19*y + 3*y + 14*y.
69*y
Collect the terms in -9*f - 4*f - 12*f + 22*f.
-3*f
Collect the terms in 8824*i + i**2 - 3*i**2 + 4710*i.
-2*i**2 + 13534*i
Collect the terms in 0 + 199*f - 489*f + 0.
-290*f
Collect the terms in 5*j**2 + j**2 - 7*j**2 - 4*j**2.
-5*j**2
Collect the terms in 5*a**2 + 0*a**2 - 2*a**2.
3*a**2
Collect the terms in -192*z**3 + 61*z**3 + 53*z**3 + 75*z**3.
-3*z**3
Collect the terms in 2 - 3 + 3 - 4*u - 2.
-4*u
Collect the terms in -4431 + 10*l**2 + 4431.
10*l**2
Collect the terms in -12*n - 4*n - 2*n**2 + 6*n - 8*n.
-2*n**2 - 18*n
Collect the terms in 3 + 2*u + 4 + 0 - 7.
2*u
Collect the terms in -3*t**3 + 138352 - 138352.
-3*t**3
Collect the terms in 28*a**3 - 40*a**3 - 34*a**3.
-46*a**3
Collect the terms in -9*s**2 - 8*s**2 - 12*s**2 + 23*s**2.
-6*s**2
Collect the terms in 326*g + 152*g - 122*g.
356*g
Collect the terms in -95 + 187*v + 95.
187*v
Collect the terms in -4*x + 30*x + x**2 - 12*x - 13*x - 13*x.
x**2 - 12*x
Collect the terms in 14*h + 3*h - 15*h.
2*h
Collect the terms in 2498 - 2498 - y + 4*y + y.
4*y
Collect the terms in -16*y**3 - 20*y**3 - 29*y**3 + 51*y**3.
-14*y**3
Collect the terms in -58*v + 70*v - 19*v.
-7*v
Collect the terms in -1216*b + 1216*b + b**2 - 3*b**2.
-2*b**2
Collect the terms in -9*v + 13*v + 38*v.
42*v
Collect the terms in 13*j**2 + 0*j**2 + 2*j**2 + 0*j**2.
15*j**2
Collect the terms in -1 - 7*m + 1 + 3*m.
-4*m
Collect the terms in 13 - 13 - 11*q**3 + 13*q**3.
2*q**3
Collect the terms in 24184 - 2*o**2 - 24184.
-2*o**2
Collect the terms in -2493*b**3 + 1246*b**3 + 1245*b**3.
-2*b**3
Collect the terms in -12*g + 9*g + 2*g.
-g
Collect the terms in 26*m**3 + 2*m - 2*m.
26*m**3
Collect the terms in -6 + 8 + 12 - 2*x - 14.
-2*x
Collect the terms in 1 - 4 + 94*b + 1.
94*b - 2
Collect the terms in -3 + 2*i**2 - 19 + 22.
2*i**2
Collect the terms in 7*o - 2*o - 5*o - 6*o**2 + 15*o**2.
9*o**2
Collect the terms in -v + 4*v + 6*v.
9*v
Collect the terms in 42*b**2 + 0 - 45*b**2 - 13.
-3*b**2 - 13
Collect the terms in 2 + 2*o**2 + 4 + 2 - 8.
2*o**2
Collect the terms in -9*x - 27*x + 12*x - 10*x + 3*x**2.
3*x**2 - 34*x
Collect the terms in 4*l**3 - 3*l**3 - 1379*l + 1364*l.
l**3 - 15*l
Collect the terms in -108*i**3 - 101*i**3 + 63*i**3.
-146*i**3
Collect the terms in 613 - 613 - o**2.
-o**2
Collect the terms in 2*u**2 + 8*u**2 + 9*u**2 + 4*u**2.
23*u**2
Collect the terms in -2*l - 10*l - 13*l.
-25*l
Collect the terms in 0*m + 6*m + 16*m - 9*m.
13*m
Collect the terms in -5*b**3 - 53*b**3 - 35*b**3.
-93*b**3
Collect the terms in -121*b**2 - 2*b - b**2 + 2*b - 1.
-122*b**2 - 1
Collect the terms in 20*p + 142*p**2 - 20*p.
142*p**2
Collect the terms in -6*z**3 - 6*z**3 + 8*z**3.
-4*z**3
Collect the terms in 25*a**2 + a + 3*a - 28*a**2 - 4*a.
-3*a**2
Collect the terms in -9 + 38 - f - 16 - 13.
-f
Collect the terms in 2*t**2 - 41*t**3 - t**2 + 24*t**3.
-17*t**3 + t**2
Collect the terms in -33*f**3 + f**3 + 20*f**3.
-12*f**3
Collect the terms in -16*o**2 - 9*o**2 + 48*o - 22*o - 26*o.
-25*o**2
Collect the terms in 2*q + 4*q - 5*q.
q
Collect the terms in 0*m**2 + 3 + 766*m + 3*m**2 - 766*m.
3*m**2 + 3
Collect the terms in 1 + 8246*j - 8244*j - 1.
2*j
Collect the terms in 3 + 1 - 7*z**3 + 9 + 4*z**3.
-3*z**3 + 13
Collect the terms in -69 - 4*o + 206 - 73 - 64.
-4*o
Collect the terms in 3*o - 24*o - 2*o - 6*o**2.
-6*o**2 - 23*o
Collect the terms in -903*i - 2 + 882*i + 2.
-21*i
Collect the terms in -2*q**3 + 5 - 5 + 27*q**2.
-2*q**3 + 27*q**2
Collect the terms in -1862*x - x**3 + 1862*x.
-x**3
Collect the terms in -10*i**3 + 1 - 3 - 8*i**3.
-18*i**3 - 2
Collect the terms in 4 - 112*v + 113*v - 4.
v
Collect the terms in -2*j**3 - 135*j**2 + 38*j**2 + 25*j**2.
-2*j**3 - 72*j**2
Collect the terms in -1137*x**3 + 825*x**3 - 2090*x**3.
-2402*x**3
Collect the terms in 0 + 0 - 1808*z**2 + 1809*z**2.
z**2
Collect the terms in 18 - 3 - 18*r**3 - 7 - 8.
-18*r**3
Collect the terms in -2*q**2 + 0*q**2 + q**2 + 2*q**2.
q**2
Collect the terms in 10*s**2 + 1 - 1 - 32*s**2.
-22*s**2
Collect the terms in -4*w**2 - 28 + 28 + 16*w**2.
12*w**2
Collect the terms in 3*d**3 + 6*d**3 - 10*d**3 + 6*d**3 + 0*d**3.
5*d**3
Collect the terms in 2*k**3 - 20*k**2 + 22*k**2 - 2*k**2.
2*k**3
Collect the terms in -2*z + 254*z**2 + 2*z - 5 + 6.
254*z**2 + 1
Collect the terms in 714 - 714 - 8*y**2.
-8*y**2
Collect the terms in -6*y**2 + 13*y**2 + 11*y**2.
18*y**2
Collect the terms in -29*w**2 - 2*w**2 - 30*w**2 + 60*w**2.
-w**2
Collect the terms in -5*k**2 + 4*k**2 - 5*k**2.
-6*k**2
Collect the terms in -2*l**3 + 14*l**3 - 7*l**3 - 3*l**3.
2*l**3
Collect the terms in -292*y**3 - 48 + 48.
-292*y**3
Collect the terms in 3*z**2 + 325*z - 325*z.
3*z**2
Collect the terms in 15 - 1599*o**2 - 15.
-1599*o**2
Collect the terms in 2*r + 391*r**2 + 5*r**3 - 386*r**2 - 2*r.
5*r**3 + 5*r**2
Collect the terms in 238 - 238 - 42*h.
-42*h
Collect the terms in 11*h**2 + 8*h**2 - 29*h**2 + 8*h**2.
-2*h**2
Collect the terms in -5*x**2 + 248*x - 248*x.
-5*x**2
Collect the terms in 3*v + 570*v**3 - 3*v.
570*v**3
Collect the terms in 5873*z + z**3 - 5873*z.
z**3
Collect the terms in -8*x + 2 - 7 + 8 - 3.
-8*x
Collect the | {
"pile_set_name": "DM Mathematics"
} |
without replacement from jmoudummmyumdummomyo?
1/14535
Three letters picked without replacement from qhxq. Give prob of sequence qhx.
1/12
Calculate prob of sequence nsnr when four letters picked without replacement from qrsqnsnsqn.
1/280
What is prob of sequence se when two letters picked without replacement from {s: 10, e: 9}?
5/19
Three letters picked without replacement from nxxfnfyxsjyfxf. What is prob of sequence nnx?
1/273
What is prob of sequence fzz when three letters picked without replacement from {s: 1, z: 3, f: 4, l: 2}?
1/30
Three letters picked without replacement from {t: 2, q: 4, c: 2}. What is prob of sequence tqq?
1/14
Two letters picked without replacement from psbtsspspsttplptttb. Give prob of sequence pt.
5/57
Calculate prob of sequence qqqq when four letters picked without replacement from qqaqqqqqqqqqaqqqqqq.
35/57
Calculate prob of sequence xhxj when four letters picked without replacement from hjjxhxxxxjjxx.
14/715
Two letters picked without replacement from {q: 1, k: 2, x: 1, d: 2, f: 2, a: 7}. Give prob of sequence fx.
1/105
Calculate prob of sequence rqqr when four letters picked without replacement from qrrqr.
1/10
What is prob of sequence my when two letters picked without replacement from zmmzoyyzzzoo?
1/33
Two letters picked without replacement from vooo. What is prob of sequence oo?
1/2
Four letters picked without replacement from {a: 6, j: 6}. Give prob of sequence ajaa.
2/33
Calculate prob of sequence qpo when three letters picked without replacement from {o: 3, p: 2, q: 4, m: 5, z: 5}.
4/969
Calculate prob of sequence pc when two letters picked without replacement from cccppccccp.
7/30
Two letters picked without replacement from ujccoyq. Give prob of sequence qo.
1/42
Calculate prob of sequence jyf when three letters picked without replacement from pyjjvypfyfypypypjf.
3/272
What is prob of sequence ip when two letters picked without replacement from {i: 1, r: 2, p: 1, f: 1}?
1/20
What is prob of sequence waw when three letters picked without replacement from waaaaaaawaaaww?
5/91
What is prob of sequence tq when two letters picked without replacement from {t: 5, u: 1, q: 1, m: 3, e: 1}?
1/22
Calculate prob of sequence srcs when four letters picked without replacement from {z: 4, s: 3, r: 2, m: 6, c: 3}.
1/2040
Two letters picked without replacement from {l: 1, t: 1, x: 1, a: 2}. What is prob of sequence xt?
1/20
What is prob of sequence lnin when four letters picked without replacement from plneiepiltliiiltttie?
0
Two letters picked without replacement from {v: 1, y: 6, b: 7}. Give prob of sequence bv.
1/26
What is prob of sequence lu when two letters picked without replacement from {n: 1, u: 2, l: 1, r: 2, i: 2}?
1/28
Four letters picked without replacement from {m: 7, g: 1, w: 2}. What is prob of sequence mmwg?
1/60
Calculate prob of sequence vnzz when four letters picked without replacement from znrvz.
1/60
Three letters picked without replacement from kpicvknc. Give prob of sequence vkk.
1/168
What is prob of sequence aza when three letters picked without replacement from qzuqzqazzqazzuzcqcz?
8/2907
Three letters picked without replacement from hhhwhwhhbh. What is prob of sequence wwb?
1/360
What is prob of sequence nkh when three letters picked without replacement from khnhnhnhkknnchkk?
25/672
Two letters picked without replacement from jjjjjjjjjjjjjjjjjjjx. What is prob of sequence jx?
1/20
Three letters picked without replacement from {d: 5, q: 1, b: 3, y: 1, i: 1, w: 1}. What is prob of sequence yyi?
0
Three letters picked without replacement from cccczccccczccczc. What is prob of sequence czc?
39/280
Calculate prob of sequence qqh when three letters picked without replacement from hhqqhqhqqhhqhq.
7/52
Three letters picked without replacement from ialvalsf. Give prob of sequence vsf.
1/336
What is prob of sequence yl when two letters picked without replacement from qzzwwwywzqwwyqqlqq?
1/153
Calculate prob of sequence prp when three letters picked without replacement from pmprlplpppppmplmel.
1/68
Four letters picked without replacement from {w: 2, i: 4, d: 6}. Give prob of sequence wdwd.
1/198
What is prob of sequence fyy when three letters picked without replacement from {v: 1, f: 1, s: 1, y: 10}?
15/286
Three letters picked without replacement from {c: 1, z: 2, t: 1, p: 1}. What is prob of sequence czt?
1/30
Two letters picked without replacement from {w: 10, l: 9}. Give prob of sequence lw.
5/19
Three letters picked without replacement from {m: 5, c: 2}. Give prob of sequence mmc.
4/21
Three letters picked without replacement from {h: 6, s: 4, o: 4}. Give prob of sequence hhs.
5/91
Three letters picked without replacement from abaaiebavgveaea. Give prob of sequence gea.
3/455
Four letters picked without replacement from ffryrfffymyorfrfrmf. What is prob of sequence yfrm?
5/1938
Calculate prob of sequence zzl when three letters picked without replacement from zzl.
1/3
Calculate prob of sequence uut when three letters picked without replacement from tuttut.
1/15
Calculate prob of sequence ozzo when four letters picked without replacement from oozozozzzzoz.
7/99
Four letters picked without replacement from vuvvuvullvuuuu. Give prob of sequence uvlu.
5/286
What is prob of sequence xi when two letters picked without replacement from {x: 2, o: 4, z: 8, n: 2, i: 4}?
2/95
Calculate prob of sequence ta when two letters picked without replacement from {h: 1, t: 5, w: 1, a: 2}.
5/36
Four letters picked without replacement from bubuibobubjbujubbub. Give prob of sequence ojuu.
5/7752
Three letters picked without replacement from {w: 3, x: 4, d: 5}. Give prob of sequence ddd.
1/22
Four letters picked without replacement from {r: 1, f: 1, x: 1, q: 3, z: 1}. What is prob of sequence zfqq?
1/140
Calculate prob of sequence qqf when three letters picked without replacement from {f: 4, b: 1, p: 2, q: 2, e: 2, o: 1}.
1/165
Calculate prob of sequence qw when two letters picked without replacement from wqwq.
1/3
Two letters picked without replacement from {f: 1, t: 6, l: 1, v: 11}. Give prob of sequence ft.
1/57
Calculate prob of sequence mmmo when four letters picked without replacement from aaooaoooammomoao.
1/910
What is prob of sequence cq when two letters picked without replacement from qccccccccccc?
1/12
What is prob of sequence da when two letters picked without replacement from hpnad?
1/20
Two letters picked without replacement from {r: 4, h: 4, e: 1, v: 3, b: 4}. Give prob of sequence be.
1/60
Calculate prob of sequence vrrt when four letters picked without replacement from {r: 2, b: 3, t: 4, d: 1, v: 1}.
1/990
Calculate prob of sequence lg when two letters picked without replacement from lfg.
1/6
Three letters picked without replacement from gcgffz. Give prob of sequence fcf.
1/60
Three letters picked without replacement from yzzzzzlsllzszyyz. Give prob of sequence yyy.
1/560
What is prob of sequence yu when two letters picked without replacement from {z: 11, y: 1, g: 4, u: 3}?
1/114
Calculate prob of sequence bc when two letters picked without replacement from {e: 5, c: 5, b: 1, l: 1}.
5/132
What is prob of sequence hp when two letters picked without replacement from qzyppypyzhyzpp?
5/182
Calculate prob of sequence yt when two letters picked without replacement from {y: 7, t: 4}.
14/55
Calculate prob of sequence nnn when three letters picked without replacement from nnnnnnnnnn.
1
What is prob of sequence yfx when three letters picked without replacement from {y: 3, x: 11, f: 1}?
11/910
Calculate prob of sequence wc when two letters picked without replacement from {c: 1, w: 12}.
1/13
What is prob of sequence uuu when three letters picked without replacement from uuu?
1
Calculate prob of sequence mmmm when four letters picked without replacement from mmmmmmmmm.
1
Calculate prob of sequence wrsw when four letters picked without replacement from rssirmwitmstrsmw.
1/1820
What is prob of sequence gng when three letters picked without replacement from {j: 1, w: 2, g: 2, n: 1, b: 1}?
1/105
What is prob of sequence ojj when three letters picked without replacement from {j: 4, d: 1, o: 2, y: 3, e: 3, h: 4}?
1/170
Calculate prob of sequence eess when four letters picked without replacement from {l: 7, s: 2, e: 2}.
1 | {
"pile_set_name": "DM Mathematics"
} |
6163*j + 2
What is the x'th term of 34527, 34526, 34525, 34524, 34523, 34522?
-x + 34528
What is the l'th term of 81, 83, 85, 87, 89?
2*l + 79
What is the g'th term of -1, -2, 5, 26, 67, 134, 233, 370?
g**3 - 2*g**2 - 2*g + 2
What is the a'th term of 38, 121, 260, 455, 706, 1013?
28*a**2 - a + 11
What is the h'th term of 209, 204, 195, 182, 165, 144, 119?
-2*h**2 + h + 210
What is the f'th term of 1, -19, -41, -53, -43, 1, 91?
2*f**3 - 13*f**2 + 5*f + 7
What is the i'th term of 45, 195, 451, 819, 1305, 1915, 2655, 3531?
i**3 + 47*i**2 + 2*i - 5
What is the y'th term of 49, 97, 145?
48*y + 1
What is the f'th term of -36, -93, -140, -171, -180?
f**3 - f**2 - 61*f + 25
What is the a'th term of 22067, 22072, 22087, 22118, 22171, 22252?
a**3 - a**2 + a + 22066
What is the j'th term of 76, 87, 94, 91, 72?
-j**3 + 4*j**2 + 6*j + 67
What is the b'th term of 102, 106, 106, 96, 70, 22, -54?
-b**3 + 4*b**2 - b + 100
What is the m'th term of 175, 286, 397, 508?
111*m + 64
What is the m'th term of 4516, 4515, 4514, 4513, 4512?
-m + 4517
What is the f'th term of 8, 4, 0, -4, -8, -12?
-4*f + 12
What is the r'th term of 1311, 1325, 1361, 1431, 1547, 1721, 1965, 2291?
2*r**3 - r**2 + 3*r + 1307
What is the r'th term of -642, -1295, -1934, -2553, -3146?
r**3 + r**2 - 663*r + 19
What is the w'th term of 42, 38, 36, 36, 38, 42?
w**2 - 7*w + 48
What is the s'th term of -87, -86, -85, -84, -83?
s - 88
What is the y'th term of 86, 168, 250, 332?
82*y + 4
What is the x'th term of -530, -1058, -1586?
-528*x - 2
What is the i'th term of -74, -102, -130, -158, -186, -214?
-28*i - 46
What is the a'th term of -3, 3, 33, 99, 213?
2*a**3 - 8*a + 3
What is the i'th term of -10, -6, -2, 2, 6, 10?
4*i - 14
What is the m'th term of 105, 234, 375, 534, 717?
m**3 + 122*m - 18
What is the h'th term of 43, 74, 105, 136, 167, 198?
31*h + 12
What is the h'th term of -13, -92, -301, -706, -1373?
-11*h**3 + h**2 - 5*h + 2
What is the n'th term of -19, -33, -41, -43, -39, -29, -13?
3*n**2 - 23*n + 1
What is the z'th term of -89, -174, -255, -332, -405?
2*z**2 - 91*z
What is the k'th term of -310, -306, -300, -292, -282, -270?
k**2 + k - 312
What is the b'th term of -311, -622, -933?
-311*b
What is the v'th term of 108, 90, 58, 6, -72, -182?
-v**3 - v**2 - 8*v + 118
What is the i'th term of 8, 7, -4, -31, -80, -157, -268, -419?
-i**3 + i**2 + 3*i + 5
What is the b'th term of 396, 795, 1194, 1593, 1992, 2391?
399*b - 3
What is the p'th term of 24, 30, 36, 42, 48, 54?
6*p + 18
What is the n'th term of -127, -75, 5, 125, 297, 533, 845?
2*n**3 + 2*n**2 + 32*n - 163
What is the d'th term of 32, 21, 0, -37, -96, -183?
-d**3 + d**2 - 7*d + 39
What is the x'th term of 470, 484, 508, 548, 610, 700, 824, 988?
x**3 - x**2 + 10*x + 460
What is the c'th term of -77, -75, -71, -65, -57?
c**2 - c - 77
What is the k'th term of 132, 266, 400?
134*k - 2
What is the y'th term of -1952, -1976, -2002, -2030, -2060, -2092, -2126?
-y**2 - 21*y - 1930
What is the f'th term of -6633, -13272, -19915, -26562, -33213, -39868?
-2*f**2 - 6633*f + 2
What is the k'th term of -123, -172, -225, -282, -343, -408?
-2*k**2 - 43*k - 78
What is the l'th term of 111, 129, 159, 207, 279, 381, 519?
l**3 + 11*l + 99
What is the i'th term of -23, -25, -37, -65, -115?
-i**3 + i**2 + 2*i - 25
What is the m'th term of -84, -166, -248, -330?
-82*m - 2
What is the w'th term of 36, 48, 60, 72, 84?
12*w + 24
What is the l'th term of 9, 12, 27, 60, 117, 204?
l**3 - 4*l + 12
What is the g'th term of -15, -57, -125, -219, -339, -485?
-13*g**2 - 3*g + 1
What is the w'th term of -5931, -11862, -17793?
-5931*w
What is the q'th term of 60, 256, 578, 1020, 1576?
-q**3 + 69*q**2 - 4*q - 4
What is the i'th term of -11, -12, -15, -20, -27, -36, -47?
-i**2 + 2*i - 12
What is the j'th term of 40, 199, 596, 1351, 2584, 4415?
20*j**3 - j**2 + 22*j - 1
What is the z'th term of -2326, -2315, -2298, -2275, -2246?
3*z**2 + 2*z - 2331
What is the f'th term of 115, 108, 101, 94, 87, 80?
-7*f + 122
What is the p'th term of -45, -35, -25?
10*p - 55
What is the m'th term of 4558, 4549, 4518, 4453, 4342, 4173, 3934, 3613?
-2*m**3 + m**2 + 2*m + 4557
What is the d'th term of -124, -242, -348, -436, -500?
d**3 - 125*d
What is the f'th term of -4, -64, -232, -562, -1108, -1924, -3064, -4582?
-9*f**3 + 3*f + 2
What is the r'th term of -624, -625, -626, -627, -628, -629?
-r - 623
What is the l'th term of -33, -64, -109, -174, -265, -388?
-l**3 - l**2 - 21*l - 10
What is the f'th term of 194, 196, 198, 200?
2*f + 192
What is the d'th term of 14070, 14065, 14050, 14019, 13966?
-d**3 + d**2 - d + 14071
What is the x'th term of -7, -15, -23, -31, -39, -47?
-8*x + 1
What is the k'th term of -7, -11, -15?
-4*k - 3
What is the f'th term of 43, 168, 385, 700, 1119, 1648, 2293, 3060?
f**3 + 40*f**2 - 2*f + 4
What is the k'th term of -336, -344, -356, -372, -392, -416, -444?
-2*k**2 - 2*k - 332
What is the n'th term of -69, -133, -189, -237, -277?
4*n**2 - 76*n + 3
What is the j'th term of 12, 17, 24, 33?
j**2 + 2*j + 9
What is the x'th term of 7, 27, 53, 79, 99, 107?
-x**3 + 9*x**2 - 1
What is the k'th term of -84, -94, -110, -132, -160?
-3*k**2 - k - 80
What is the s'th term of 405, 416, 437, 474, 533, 620, 741?
s**3 - s**2 + 7*s + 398
What is the i'th term of -672, -691, -712, -735?
-i**2 - 16*i - 655
What is the r'th term of -1, 4, 19, 50, 103, 184, 299?
r**3 - r**2 + r - 2
What is the s'th term of 18559, 18551, 18541, 18529, 18515, 18499, 18481?
-s**2 - 5*s + 18565
What is the a'th term of -517, -555, -593, -631?
-38*a - 479
What is the x'th term of -9229, -9228, -9227, -9226, -9225, -9224?
x - 9230
What is the j'th term of 311, 1239, 2787, 4955, 7743, 11151?
310*j**2 - 2*j + 3
What is the v'th term of 3002, 3001, 3000?
-v + 3003
What is the a'th term of -629, -1253, -1875, -2495, -3113, -3729, -4343?
a**2 - 627*a - 3
What is the l'th term of -11, -2, 17, 52, 109, 194, 313?
l**3 - l**2 + 5*l - 16
What is the d'th term of 176, 355, 536, 719?
d**2 + 176*d - 1
What is the c'th term of 74, 171, 280, 407, 558, 739, 956?
c**3 + 90*c - 17
What is the t'th term of 8, 88, 298, 704, 1372, 2368, 3758?
11*t**3 - t**2 + 6*t - 8
What is the j'th term of -472, -503, -534, -565, -596, -627?
-31*j - 441
What is the q'th term of 4431, 4432, 4433?
q + 4430
What is the u'th term of 476, 961, 1470, 2015, 2608?
2*u**3 + 471*u + 3
What is the s'th term of -864, -861, -860, -861, -864, -869, -876?
-s**2 + 6*s - 869
What is the a'th term of -1773, -1767, -1757, -1743, -1725, -1703, -1677?
2*a**2 - 1775
What is the m'th term of 51, 253, 785, 1809, 3487, 5981, 9453?
27*m**3 + 3*m**2 + 4*m + 17
What is the n'th term of -18041, -36084, -54125, -72164?
n**2 - 18046*n + 4
What is the l'th term of -1659, -1656, -1653?
3*l - 1662
What is the p'th term of -6, -31, -70, -123?
-7*p**2 - 4*p + 5
What is the c'th term of 26, 182, 604, 1424, 2774?
22*c**3 + c**2 - c + 4
What is the k'th term of -4771, -4769, -4765, -4759, -4751, -4741?
k**2 - k - 4771
What is the v'th term of -44, -58, -72, -86, -100?
-14*v - 30
What is the f'th term of -4054, -4050, -4044, -4036, -4026, -4014, -4000?
f**2 + f - 4056
What is the h'th term of -268, -300, -344, -406, -492, -608, -760, -954?
-h**3 - 25*h - 242
What is the f'th term of -6559, -6559, -6557, -6553, -6547, -6539, -6529?
f**2 - 3*f - 6557
What is the k'th term of 133, 130, 125, 118, 109, 98, 85?
-k**2 + 134
What is the i'th term of -515, -1030, -1545?
-515*i
What is the o'th term of -217, -431, -645, -859?
-214*o - 3
What is the r'th term of 73466, 73464, 73460, 73454, 73446?
-r**2 + r + 73466
What is the n'th term of -477, -957, -1437, -1917, -2397, -2877?
-480*n + 3
What is the i'th term of -81, -69, -43, 3, 75?
i**3 + i**2 + 2*i - 85
What is the r'th term of -32, -86, -170, -278, -404, -542, -686?
r**3 - 21*r**2 + 2*r - 14
What is the l'th term of 31, 20, -3, -44, -109, -204, -335, -508?
-l**3 - 4*l + 36
What is the h'th term of 51, 46, 49, 66, 103, 166?
h**3 - 2*h**2 - 6*h + 58
What is the o'th term of 225, 230, 235, 240?
5*o + 220
What is the m'th term of 92, 173, 254?
81*m + 11
What is the j'th term of -133, -185, -239, -295, -353, -413, -475?
-j**2 - 49*j - 83
What is the n'th term of 30, 56, 96, 156, 242, 360, 516, 716?
n**3 + n**2 + 16*n + 12
What is th | {
"pile_set_name": "DM Mathematics"
} |
**2. Determine m(g(p)).
-55628148*p**2
Let c(f) = -2*f**2. Let p = 2610 + -2608. Let q(t) be the third derivative of 0*t + 0 - 2*t**p - 3/20*t**5 + 0*t**3 - 1/6*t**4. Give c(q(d)).
-162*d**4 - 144*d**3 - 32*d**2
Let b(v) = 48*v. Let l(i) be the third derivative of 2*i**5/5 + 24*i**2 - 30*i. What is b(l(s))?
1152*s**2
Let m(w) = 7583*w**2. Let l(s) = 11676*s**2. What is l(m(g))?
671392055964*g**4
Let m(x) = x**2. Let v(g) = -g**2 + 13*g - 9. Let r be v(15). Let d be 2/(-6) - r/9. Let b(y) = -26 + d*y + 26. What is m(b(w))?
16*w**2
Let s(r) = 56*r. Let d(k) = 5*k**2 - k - 853. Determine s(d(v)).
280*v**2 - 56*v - 47768
Let y(q) = -35*q. Let o(h) = 7252*h. Give y(o(w)).
-253820*w
Let d(r) = -31289*r**2. Let o(y) = -y + 1. Calculate o(d(p)).
31289*p**2 + 1
Let s(p) = -190*p**2. Let f(v) = -30*v + 18. Let l(a) = -24*a + 15. Let h(w) = 5*f(w) - 6*l(w). Give h(s(n)).
1140*n**2
Let g(s) = 753583*s - 376786*s - 376797*s - 25*s**2. Let o(f) be the second derivative of -f**3/6 - f. What is g(o(a))?
-25*a**2
Let h(d) = 3*d**2 + 24. Let n be ((-2)/(-3))/((-20)/(-90)). Let m(i) = n*i - 71 + 71. What is m(h(l))?
9*l**2 + 72
Let i(k) = -2*k. Let a(p) = -860*p**2 + 1656*p**2 + 6039*p**2. Determine a(i(u)).
27340*u**2
Suppose 7*b - 418 = -15*b. Let k(t) = 51*t**2 - t + t + b*t**2 - 3*t**2. Let z(y) be the second derivative of -y**3/3 - y. Give k(z(i)).
268*i**2
Let x(o) = -2*o. Let h(w) = 24339 - 24349 + 6*w**2 - 21*w**2. What is h(x(c))?
-60*c**2 - 10
Let y = 62 - 70. Let d(z) = 4*z - 17. Let o(n) = -6*n + 25. Let p(x) = y*d(x) - 5*o(x). Let u(b) = -59*b - 66*b - 66*b + 190*b. Calculate u(p(j)).
2*j - 11
Suppose -16*a + 13*a = 225. Let p = -40 - a. Let r(l) = -p*l - 36*l + 73*l. Let b(t) = 10*t. Calculate r(b(f)).
20*f
Let i(w) = w. Let p be 8/10*(2 + (-1)/(-2)). Suppose 18 = z + 3*q, -9*z - 39 = -13*z - q. Let a(o) = -55*o**2 - 19*o**2 + z*o**p + 10*o**2. Calculate a(i(u)).
-55*u**2
Let n(a) = 3008141*a**2. Let f(m) = 5*m. Determine n(f(s)).
75203525*s**2
Let u(c) = -7*c. Let i(h) = -5*h - 15 + 19 - 2*h - 9. Calculate i(u(t)).
49*t - 5
Let a(m) = -79*m + 3. Let z(v) = -645466*v**2. Calculate a(z(k)).
50991814*k**2 + 3
Let s(m) = 3546*m + 0 - 3546*m + 0 - 2405*m**2. Let z(l) = l. What is s(z(x))?
-2405*x**2
Let u(p) be the third derivative of p**4/2 + p**3/6 - 4*p**2 - 1076. Let q(z) = -20*z**2 - z. Determine q(u(v)).
-2880*v**2 - 492*v - 21
Let o(c) = -11167*c. Let y(n) = 2*n + 4411. Give y(o(f)).
-22334*f + 4411
Let q(a) = 2*a - 20*a + 55 - 55 + a. Let l(k) be the first derivative of -3*k**3 + 77. Give l(q(i)).
-2601*i**2
Let o(r) = -12*r**2. Suppose -2*x = d + 1, -x - 4*x + 15 = 5*d. Suppose -d*y + 4*y + 108 = 0. Let n(f) = -3*f + 76 - y - 40. Determine o(n(k)).
-108*k**2
Let g(p) be the first derivative of 2*p**3 - 3278. Let h(n) = -781*n. Calculate h(g(i)).
-4686*i**2
Let f(s) be the second derivative of 0*s**3 + 1/12*s**4 + 9/2*s**2 + 0 - 12*s. Let a(q) be the first derivative of f(q). Let x(p) = 5*p. Give a(x(y)).
10*y
Let p(c) = -1768*c. Let u(q) = 2*q + 21. Let r(z) = -z - 12. Let g(l) = 7*r(l) + 4*u(l). Calculate g(p(y)).
-1768*y
Let n(y) be the second derivative of -1/12*y**4 + 5*y + 0*y**3 + 0*y**2 + 3. Let a(k) = -177*k. Give a(n(j)).
177*j**2
Let c(z) = 30*z - 14. Let q(t) = 2*t - 1. Let o be -6*28*5/30. Let g(v) = o*q(v) + 2*c(v). Let k(s) = 5*s - 8*s - 7*s. Give k(g(m)).
-40*m
Let f(t) = 9*t + 21. Let l(g) = 4*g + 1. Let u(p) = -f(p) + l(p). Let d(n) = 8*n. Give d(u(w)).
-40*w - 160
Let o(j) = -4178*j**2. Let v(z) be the second derivative of z**4/6 - 2697*z. Give o(v(t)).
-16712*t**4
Let g(b) = 25020137*b**2. Let z(x) = 6*x**2. Determine g(z(l)).
900724932*l**4
Let s(u) be the first derivative of -49 + 1/3*u**4 + 0*u**3 - u**2 - 8*u. Let h(p) be the first derivative of s(p). Let n(q) = q**2. Calculate n(h(m)).
16*m**4 - 16*m**2 + 4
Suppose 4*s + 1364 = 4*i + 156, 2*s = 4. Let j(q) = 4*q + 303. Let d be j(0). Let o(t) = d*t**2 + 0*t - i*t**2 + 0*t. Let a(n) = -57*n. Determine a(o(p)).
57*p**2
Let f(s) = 2652*s + 100. Let j(b) = 2*b**2 - 34. What is f(j(m))?
5304*m**2 - 90068
Let f(r) be the first derivative of 11*r**2/2 + 26. Let d(l) = 75*l - 9. Let o(m) = -42*m + 5. Let c(n) = -5*d(n) - 9*o(n). Calculate c(f(a)).
33*a
Let b(h) = 3*h**2. Let o(w) = -1. Let p = 42 + -40. Suppose 0 = p*m + 13 - 11. Let t(i) = 10*i**2 - 30. Let s(n) = m*t(n) + 30*o(n). Calculate s(b(j)).
-90*j**4
Let n(w) = 12*w + 2. Let i(s) = -17*s - 1. Let x(o) = 304*o + 16. Let m(d) = -16*i(d) - x(d). Give m(n(v)).
-384*v - 64
Let y(i) = 616*i**2 - 3*i - 8. Let m(s) = 2462*s**2 - 13*s - 35. Let r(w) = 3*m(w) - 13*y(w). Let j(h) = 4*h**2. What is r(j(n))?
-9952*n**4 - 1
Let l(j) = 10*j - 68. Let u be l(7). Let x(c) = 76*c**u - 152*c**2 + 87*c**2. Let m(g) = -19*g. Give m(x(b)).
-209*b**2
Let d(z) be the first derivative of 145*z**2 + 1720. Let p(o) = 12*o**2. Give p(d(w)).
1009200*w**2
Let m = -910 - -919. Let p(u) = -8*u - 10 + 15 + m - 14. Let b(z) = -24*z - 14. Let a(x) = -5*x - 3. Let r(i) = 14*a(i) - 3*b(i). What is r(p(f))?
-16*f
Let u(o) = -1107*o. Let z(r) = 3333*r**2 - 1. Determine z(u(x)).
4084421517*x**2 - 1
Let j(u) = -6971*u**2 - 393*u**2 + 3448*u**2. Let f(b) = -2*b**2. Determine j(f(l)).
-15664*l**4
Let h(z) be the first derivative of -79*z**3/3 + 2430. Let u(i) = 43*i**2. What is h(u(m))?
-146071*m**4
Let v be 2*44/(-24)*-3. Let d(n) be the first derivative of -6 + 2*n**2 + 4 - n**2 + v. Let c(j) = 11*j**2. Calculate d(c(q)).
22*q**2
Let l(z) = 10*z. Let c(p) be the first derivative of 0*p - 4 - 1/2*p**2. Determine c(l(n)).
-10*n
Let p(q) = -2 - 4 + 6 + 2*q. Let l(m) be the third derivative of -23*m**4/4 - 124*m**2. Calculate p(l(w)).
-276*w
Let r(t) = 410*t**2 + 1194*t**2 + 172*t**2. Let i(y) = -2*y**2. What is r(i(f))?
7104*f**4
Let k(m) = 6*m**2 + 0*m**2 - 3*m**2 - m**2. Let x(n) = 29*n - 2. Let o(a) = 1075*a - 75. Let q(b) = -2*o(b) + 75*x(b). Give q(k(u)).
50*u**2
Let v(d) = -9*d**2. Let b = -68 + 156. Let s(n) = -1 + 1 - 93*n**2 + b*n**2. Calculate s(v(j)).
-405*j**4
Let l(w) = 2*w + 1512. Let y(d) = -73747*d. Give l(y(s)).
-147494*s + 1512
Let c(h) = -2*h. Let n(g) = -g**3 - g**2 - g - 13. Let p be n(-9). Let k = p - 375. Let x(o) = k*o**2 - 541*o**2 + 267*o**2. Give c(x(f)).
10*f**2
Let s(c) be the first derivative of -23*c**2 - 12. Let b(v) = -187*v**2 + 9*v. Let u(g) = -83*g**2 + 4*g. Let h(i) = -4*b(i) + 9*u(i). What is s(h(l))?
-46*l**2
Let r(c) = -c**2 - 47. Let w(q) = 3*q**2 - 36. Let g(n) = -7*n**2 + 71. Let z(o) = -2*g(o) - 5*w(o). Let u(v) be the first derivative of z(v). Give u(r(l)).
2*l**2 + 94
Let r(j) = 4*j**2 - 3*j. Let d(a) = -14*a + 56. Let i(s) = s**2 + s - 4. Let k(o) = 2*d(o) + 28*i(o). Determine r(k(m)).
3136*m**4 - 84*m**2
Let c(q) be the third derivative of -13*q**4/12 + 6*q**2 + 217. Let j(z) = 2*z - 17. What is j(c(a))?
-52*a - 17
Let h(w) = 2*w**2. Let z(o) be the second derivative of -o**3/6 - 129*o**2/2 + 310*o. Calculate h(z(f)).
2*f**2 + 516*f + 33282
Let r(z) = -2171*z**2. Let v(i) = -717*i - 5. Give v(r(x)).
1556607*x**2 - 5
Let l be -12 - (-7 + 22/(-4)). Let s(g) be the second derivative of 0*g**2 + 0 - 7*g + l*g**3. Let b(j) = 5*j. Calculate b(s(y)).
15*y
Let o(k) = -15016*k**2. Let n(s) = 884*s + 3. Give n(o(v)).
-13274144*v**2 + 3
Let h(g) = -97*g**2. Let v(u) = -182449*u. Calculate v(h(q)).
17697553*q**2
Let v(y) = 2*y**2. Let f(s) = s**3 - 6*s**2 + s + 4. Let k be f(6). Let z(m) = -58*m - 6 - 4 + k. What is z(v(t))?
-116*t**2
Let r(s) be the second derivative of s**3/2 + 3841*s. Let j(c) = -591*c. Calculate r(j(m)).
-1773*m
Let u(l) = l - l**2 - l. Let i = 231 + -188. Let p(c) = 16*c + 14*c + 9*c - i*c. Give p(u(b)).
4*b**2
Let z(r) be the third derivative of -8 + 0*r + 0*r**3 - 1/2*r**4 + r**2. Let x(i) = -20*i. Determine z(x(t)).
240*t
Let a(z) = z**2 + 3*z - 17. Let q(w) = 6*w**2 + 6*w - 2243. Let m(t) = 2*a(t) - q(t). Let r(d) = -2*d. What is r(m(s))?
8*s**2 - 4418
Let y(a) = -a + 28. Let i(f) = -276*f**2 + 539*f**2 - 265*f**2. What is y(i(k))?
2*k**2 + 28
Let s(y) = 82*y + 1. Let c(g) = -411*g - 5. Let f(q) = -2*c(q) - 11*s(q). Let x(n) = 37*n + 29*n + 36*n - 137*n + 34*n. Calculate x(f(j)).
80*j + 1
Let v(t) = 14371164*t. Let s(j) = 22*j**2. What is v(s(g))?
316165608*g**2
Let z(v) = -20*v**2 - 15*v. Let c | {
"pile_set_name": "DM Mathematics"
} |
s after 5:56 AM?
3:16 PM
How many minutes are there between 12:00 PM and 11:31 PM?
691
What is 44 minutes before 6:03 AM?
5:19 AM
What is 310 minutes after 9:40 AM?
2:50 PM
What is 692 minutes before 4:33 PM?
5:01 AM
How many minutes are there between 12:34 PM and 6:27 PM?
353
What is 19 minutes after 6:21 AM?
6:40 AM
How many minutes are there between 10:19 AM and 6:24 PM?
485
What is 430 minutes after 8:56 PM?
4:06 AM
How many minutes are there between 8:56 AM and 7:06 PM?
610
What is 630 minutes before 2:01 PM?
3:31 AM
How many minutes are there between 9:22 AM and 11:04 AM?
102
How many minutes are there between 11:49 AM and 8:44 PM?
535
What is 672 minutes before 2:49 PM?
3:37 AM
How many minutes are there between 5:55 AM and 10:32 AM?
277
How many minutes are there between 2:06 AM and 6:59 AM?
293
How many minutes are there between 11:27 PM and 10:59 AM?
692
How many minutes are there between 3:19 AM and 4:13 AM?
54
How many minutes are there between 9:18 PM and 7:27 AM?
609
What is 332 minutes after 1:37 AM?
7:09 AM
How many minutes are there between 8:09 AM and 12:55 PM?
286
What is 599 minutes after 2:25 PM?
12:24 AM
What is 532 minutes before 6:33 PM?
9:41 AM
How many minutes are there between 12:52 PM and 9:13 PM?
501
What is 4 minutes before 10:37 AM?
10:33 AM
What is 559 minutes before 3:13 AM?
5:54 PM
How many minutes are there between 8:59 AM and 8:09 PM?
670
What is 130 minutes after 5:34 PM?
7:44 PM
How many minutes are there between 9:45 AM and 10:41 AM?
56
How many minutes are there between 7:47 AM and 10:51 AM?
184
What is 48 minutes after 6:27 AM?
7:15 AM
What is 502 minutes before 8:09 PM?
11:47 AM
How many minutes are there between 6:34 PM and 6:53 PM?
19
How many minutes are there between 9:11 PM and 11:12 PM?
121
What is 430 minutes after 7:41 PM?
2:51 AM
What is 587 minutes before 8:54 AM?
11:07 PM
How many minutes are there between 2:22 PM and 5:02 PM?
160
How many minutes are there between 5:31 AM and 9:22 AM?
231
What is 60 minutes after 8:53 PM?
9:53 PM
How many minutes are there between 6:12 PM and 3:45 AM?
573
What is 699 minutes after 9:59 AM?
9:38 PM
What is 448 minutes after 12:51 PM?
8:19 PM
What is 249 minutes after 8:40 PM?
12:49 AM
What is 665 minutes after 3:55 PM?
3:00 AM
How many minutes are there between 2:05 PM and 9:03 PM?
418
What is 662 minutes after 1:05 PM?
12:07 AM
What is 680 minutes before 6:20 AM?
7:00 PM
What is 123 minutes before 4:08 AM?
2:05 AM
What is 173 minutes before 10:24 PM?
7:31 PM
What is 9 minutes after 3:04 AM?
3:13 AM
How many minutes are there between 11:37 AM and 5:00 PM?
323
What is 547 minutes after 10:58 AM?
8:05 PM
What is 661 minutes after 10:56 PM?
9:57 AM
How many minutes are there between 1:23 PM and 9:44 PM?
501
What is 286 minutes before 4:10 AM?
11:24 PM
How many minutes are there between 12:20 AM and 10:47 AM?
627
How many minutes are there between 4:00 PM and 4:49 PM?
49
What is 592 minutes before 8:59 PM?
11:07 AM
How many minutes are there between 10:54 PM and 8:24 AM?
570
How many minutes are there between 9:21 AM and 9:40 AM?
19
How many minutes are there between 12:06 AM and 7:34 AM?
448
What is 488 minutes after 3:35 PM?
11:43 PM
How many minutes are there between 9:44 PM and 6:21 AM?
517
What is 371 minutes before 11:06 PM?
4:55 PM
What is 597 minutes after 3:35 AM?
1:32 PM
How many minutes are there between 12:29 PM and 8:17 PM?
468
What is 591 minutes before 2:02 PM?
4:11 AM
What is 144 minutes after 4:52 AM?
7:16 AM
What is 91 minutes before 4:49 PM?
3:18 PM
How many minutes are there between 5:35 PM and 9:18 PM?
223
What is 520 minutes after 7:12 AM?
3:52 PM
How many minutes are there between 5:23 AM and 10:27 AM?
304
What is 89 minutes after 5:36 AM?
7:05 AM
How many minutes are there between 2:01 PM and 5:30 PM?
209
How many minutes are there between 3:47 PM and 12:14 AM?
507
What is 559 minutes before 1:37 AM?
4:18 PM
How many minutes are there between 6:01 AM and 4:26 PM?
625
How many minutes are there between 6:09 AM and 12:47 PM?
398
What is 246 minutes before 11:39 PM?
7:33 PM
How many minutes are there between 11:34 AM and 7:22 PM?
468
What is 148 minutes after 11:18 AM?
1:46 PM
How many minutes are there between 10:00 AM and 7:45 PM?
585
How many minutes are there between 4:11 AM and 9:32 AM?
321
What is 170 minutes before 7:58 AM?
5:08 AM
How many minutes are there between 3:20 AM and 9:14 AM?
354
What is 547 minutes before 8:59 PM?
11:52 AM
How many minutes are there between 7:46 AM and 12:10 PM?
264
What is 322 minutes before 6:45 AM?
1:23 AM
What is 474 minutes after 3:31 PM?
11:25 PM
How many minutes are there between 4:19 AM and 10:35 AM?
376
What is 480 minutes after 3:57 AM?
11:57 AM
How many minutes are there between 3:57 PM and 4:17 PM?
20
How many minutes are there between 4:51 AM and 12:14 PM?
443
How many minutes are there between 6:07 AM and 3:55 PM?
588
What is 320 minutes after 4:07 AM?
9:27 AM
How many minutes are there between 1:12 PM and 11:24 PM?
612
What is 480 minutes after 8:50 AM?
4:50 PM
How many minutes are there between 12:48 PM and 2:10 PM?
82
What is 625 minutes after 9:52 AM?
8:17 PM
How many minutes are there between 10:52 PM and 6:52 AM?
480
How many minutes are there between 12:16 AM and 9:44 AM?
568
What is 535 minutes after 5:21 PM?
2:16 AM
What is 652 minutes before 8:42 AM?
9:50 PM
What is 454 minutes after 7:11 PM?
2:45 AM
What is 303 minutes after 3:06 AM?
8:09 AM
How many minutes are there between 7:41 PM and 11:52 PM?
251
How many minutes are there between 4:58 AM and 7:31 AM?
153
How many minutes are there between 11:46 PM and 12:36 AM?
50
How many minutes are there between 7:32 AM and 4:16 PM?
524
How many minutes are there between 4:13 PM and 12:58 AM?
525
What is 643 minutes after 1:25 AM?
12:08 PM
What is 474 minutes after 4:01 PM?
11:55 PM
How many minutes are there between 4:30 AM and 12:12 PM?
462
How many minutes are there between 1:20 AM and 11:51 AM?
631
How many minutes are there between 9:53 AM and 11:21 AM?
88
How many minutes are there between 12:28 AM and 9:18 AM?
530
How many minutes are there between 3:15 PM and 4:53 PM?
98
How many minutes are there between 8:53 AM and 7:45 PM?
652
What is 337 minutes after 6:06 AM?
11:43 AM
How many minutes are there between 1:36 AM and 7:30 AM?
354
How many minutes are there between 7:41 PM and 5:01 AM?
560
How many minutes are there between 8:03 AM and 6:26 PM?
623
What is 557 minutes before 12:39 PM?
3:22 AM
How many minutes are there between 6:05 PM and 9:09 PM?
184
What is 344 minutes after 2:13 AM?
7:57 AM
How many minutes are there between 12:05 PM and 5:49 PM?
344
What is 197 minutes before 3:27 PM?
12:10 PM
How many minutes are there between 12:51 AM and 1:03 AM?
12
What is 688 minutes before 12:24 PM?
12:56 AM
How many minutes are there between 11:09 PM and 11:57 PM?
48
How many minutes are there between 12:35 PM and 10:51 PM?
616
What is 244 minutes before 1:14 AM?
9:10 PM
What is 253 minutes before 1:07 AM?
8:54 PM
How many minutes are there between 7:58 PM and 9:36 PM?
98
What is 474 minutes after 1:49 AM?
9:43 AM
How many minutes are there between 4:40 PM and 3:16 AM?
636
How many minutes are there between 10:14 PM and 3:17 AM?
303
What is 546 minutes after 11:51 PM?
8:57 AM
What is 90 minutes before 9:23 PM?
7:53 PM
How many minutes are there between 3:17 PM and 10:29 PM?
432
How many minutes are there between 5:12 AM and 3:48 PM?
636
What is 92 minutes before 12:15 AM?
10:43 PM
How many minutes are there between 9:14 AM and 9:52 AM?
38
What is 664 minutes before 2:17 AM?
3:13 PM
What is 104 minutes after 3:18 AM?
5:02 AM
How many minutes are there between 1:43 AM and 2:39 AM?
56
How many minutes are there between 10:16 AM and 3:33 PM?
317
How many minutes are there between 5:46 AM and 12:32 PM?
406
How many minutes are there between 7:14 PM and 8:52 PM?
98
How many minutes are there between 3:28 AM and 8:45 AM?
317
What is 391 minutes before 8:22 AM?
1:51 AM
What is 466 minutes after 11:55 PM?
7:41 AM
What is 689 minutes after 9:31 PM?
9:00 AM
How many minutes are there between 8:52 PM and 12:58 AM?
246
What is 454 minutes after 5:26 AM?
1:00 PM
How many minutes are there between 5:08 AM and 2:20 PM?
552
What is 372 minutes befo | {
"pile_set_name": "DM Mathematics"
} |
List the prime factors of -3*1 + (m - 2).
2
Let r be ((-4)/(-5))/((-2)/(-5)). Let h be (-82)/(-3) - r/(-3). Suppose 2*k = 90 - h. List the prime factors of k.
31
Let l(q) = 2*q**2 + 4*q + 8. Let y(u) = 5*u - 1. Let s be y(1). Let a(t) = -5*t + 14. Let i be a(s). What are the prime factors of l(i)?
2, 7
Let z(d) = d**2 + 13*d + 6. Let n be z(-12). Let p be 2/n - 152/(-6). Let h = -20 + p. List the prime factors of h.
5
Suppose v + 6 = 4*k, 3*k - 6 = -0*k. Suppose -3*p + 82 = -v. What are the prime factors of p?
2, 7
Suppose 18*m - 12697 = 4817. List the prime factors of m.
7, 139
Let h be ((-5)/15)/(2/30). Let o be 16/(h*(-6)/15). Let m = 44 - o. List the prime factors of m.
2, 3
Let b(f) = -f**3 + 16*f**2 - 18*f + 13. Let c be b(15). Let a = -68 - c. What are the prime factors of 9/(3 - 0) - a?
3, 13
Let h be (11 - 8) + (1 - 4). Suppose 5*o - g - 249 = -2*g, 2*o - 3*g - 86 = h. What are the prime factors of o?
7
Suppose 0 = 5*p - 189 - 96. Let t = p + -42. What are the prime factors of t?
3, 5
Let n be 5*6 + 4/(-2). Suppose -104 = 2*u - 10*u. Let c = n - u. What are the prime factors of c?
3, 5
Let g(f) = 2*f**3 - 8*f**2 + 7*f + 5. Let v = 53 - 49. What are the prime factors of g(v)?
3, 11
Let m = -1535 - -2996. What are the prime factors of m?
3, 487
Let l(y) = y**2 + 9*y - 31. Let i be l(3). Suppose -3*v + 14*n = 18*n - 403, v - i*n = 109. List the prime factors of v.
3, 43
Let s = -96 - -99. Suppose -27 - 42 = -s*t. What are the prime factors of t?
23
Suppose 0 = 14*p - 528 - 7004. List the prime factors of p.
2, 269
Suppose -2*j - 2*j - 2 = -2*t, 3 = 5*j + 3*t. Suppose 0*o + 4*o - 344 = j. What are the prime factors of o?
2, 43
Let s = -27 + 87. Suppose 3*i - 9 - s = 0. Suppose 4*x - 17 = -l + i, 112 = 5*l - 2*x. What are the prime factors of l?
2, 3
Suppose l - 6 = -2. Let s be ((-2)/l)/(2/12). Let m(k) = k**2 - 2*k. List the prime factors of m(s).
3, 5
Let j = -40 - -40. Suppose 3*p - 5*p + 218 = j. What are the prime factors of p?
109
Let v be (-63)/(-27) - (-4)/6. List the prime factors of v + (-416)/(-2) - 15/5.
2, 13
Let b(f) = f + 1. Let q(x) = 23*x + 21. Let k(o) = 4*b(o) - q(o). List the prime factors of k(-8).
3, 5
Let v(h) = 28*h - 147. List the prime factors of v(19).
5, 7, 11
Let q be 2*1*(75/(-6))/(-5). Suppose 3*l + 243 = z + 2*z, 437 = q*z + 3*l. What are the prime factors of z?
5, 17
Suppose 4*v = 11*v - 413. Suppose 0 = -n - r + v, 3*n + 4*r - 148 - 29 = 0. What are the prime factors of n?
59
Suppose -9 = -8*r + 5*r. Suppose -d - r*d = -3*m - 148, 0 = 2*m. List the prime factors of d.
37
Let d be (-443 + -1)/((-16)/8). List the prime factors of d*(-5 - -6) - -3.
3, 5
Let d be (-5 + 3)/((-4)/(-246)). Let x = -65 - d. What are the prime factors of x?
2, 29
Let v = 36 - 31. Suppose -2*a - 321 = -v*a. What are the prime factors of a?
107
Let k = 80 - -78. List the prime factors of k.
2, 79
What are the prime factors of 97 + 1 + (7 - (-32)/(-4))?
97
Let m(h) = -h**2 + 10*h + 14. Let a be m(11). Let v be (-18)/12*(-4)/a. List the prime factors of v/3*(3 + 3).
2
Suppose 5*f - 15 = -3*a + 41, 60 = 3*a + 3*f. Let v(g) = g**2 - 4*g - 6. Let y be v(6). Let h = a - y. List the prime factors of h.
2
Suppose -2*x - 124 = -5*w - 1027, 533 = -3*w - x. Let d = 302 + w. List the prime factors of d.
3, 41
Let d be ((-24)/10)/(4/20). Suppose -38 = -3*k + 4*q, 0 = 2*k - 3*q + 8*q - 56. Let n = d + k. What are the prime factors of n?
2, 3
Let l(z) = -z + 1. Let f be l(-5). Let a = f - -30. Let i = 64 - a. List the prime factors of i.
2, 7
Let w(c) = 4*c - 4 - 10 + 15 - 11*c. Suppose -5*v + 0*i - 7 = 4*i, -5*i = -5*v - 25. What are the prime factors of w(v)?
2, 11
Suppose 0*p - 666 = -9*p. What are the prime factors of (p/8)/(10/80)?
2, 37
Let r(k) = -k**3 - 6*k**2 + k + 9. Let d be r(-6). Let m = d + 1. Suppose -204 = -m*i - 80. What are the prime factors of i?
31
List the prime factors of 421873/301 - (-4)/(-7).
3, 467
Let m = -108 + 157. What are the prime factors of m?
7
Suppose 341 = 5*x + 4*u - 3*u, 5*u + 131 = 2*x. Suppose -5*k + 758 - x = 0. List the prime factors of k.
2, 3, 23
Let g(s) = -100*s - 317. What are the prime factors of g(-8)?
3, 7, 23
Let y = -10 - -16. Suppose r + y = 3*r. Suppose 4*c + r*b - 1 = 8*c, 4*b - 12 = 0. List the prime factors of c.
2
Let c = -15 - -15. Suppose -4*b + 8*k - 3*k + 100 = c, -2*b + 56 = -4*k. What are the prime factors of b?
2, 5
Suppose -4*a - 124 = 4*f, 2*f = a + 6 - 56. Let z = f - -83. List the prime factors of z.
2, 7
Let j(s) = 22*s - 7. Let d be j(-7). Let i = d + 268. List the prime factors of i.
107
Suppose y - 3*m = 0, -5*y = 5*m - 3*m. Suppose -2*f - 7*f + 963 = y. What are the prime factors of f?
107
Suppose 2*c = 5*i - 2*c - 44, -3*i + 29 = -5*c. Suppose i*g - 10*g = -156. What are the prime factors of (g/(-8))/((-9)/24)?
2, 13
Let q = 277 + -164. Let n be 1 - ((q - 2) + -4). Let d = -60 - n. What are the prime factors of d?
2, 23
Let v be 45 - 3*(-5)/(-15). Suppose -2*l + v = -5*b - 41, l = 2*b + 45. What are the prime factors of l?
5, 11
Let j = 2711 + -1510. List the prime factors of j.
1201
Let c(x) = -2*x**2 + 26*x + 10. Suppose 4*l = 2*a - 16 - 12, 3*a = 2*l + 34. List the prime factors of c(a).
2, 5, 7
Let w be 24/(-60) - 4/(-10). Suppose -2*n + 4*d = d - 153, w = -2*d - 10. List the prime factors of n.
3, 23
Let k(u) = u**2 - 14*u - 67. Let q be k(20). Suppose 1085 = q*j - 48*j. List the prime factors of j.
7, 31
Let j(x) = x + 4. Let o be j(1). Suppose -o*s = -2*t - 460, -7*s = -3*s - 3*t - 361. What are the prime factors of s?
2, 47
Suppose 0 = -6*b + 3*b + 21. Let y(a) = -391 - 388 + a + 782. List the prime factors of y(b).
2, 5
Suppose 182*y = 172*y + 5940. List the prime factors of y.
2, 3, 11
Suppose -2*i + 6*i = 3*r - 1310, -1725 = -4*r + i. List the prime factors of r.
2, 5, 43
Let k = 2160 + -1043. List the prime factors of k.
1117
Let t = -29 + 9. Let z be 304/6 - (-6)/(-9). Let h = z + t. List the prime factors of h.
2, 3, 5
Let a(w) = 174*w - 182. What are the prime factors of a(6)?
2, 431
Let o(p) = -2*p + 20. Let n be o(8). Suppose 596 = n*i + 3*x, -3*x = 5*i - 2*x - 756. Let s = -86 + i. What are the prime factors of s?
2, 3, 11
Suppose -1516 = -d - 3*d - 4*u, -9 = -3*u. What are the prime factors of d?
2, 47
Suppose -3*o = o - y + 5, 2*y = o + 10. Suppose 3*p = -o*p - 3*h + 219, -2*h - 2 = 0. What are the prime factors of p?
2, 37
Suppose s + 3*v - 1467 = 0, -s + v + 396 = -1055. What are the prime factors of s?
3, 5, 97
Suppose 4*n = -16, 0 = -4*y - 4*n - 410 + 2762. List the prime factors of y.
2, 37
Suppose 0*x - 450 = -3*x. Suppose 3*d + 42 + 8 = c, -3*c - d + x = 0. What are the prime factors of c?
2, 5
Let f(d) = 61*d**3 - d**2 + 2*d - 2. Suppose y - 3*c - 2 = -13, 2*c = 8. List the prime factors of f(y).
2, 3, 5
Let k(d) = d**2 - 5*d - 81. What are the prime factors of k(-15)?
3, 73
Suppose -25*g = -35*g + 3880. List the prime factors of g.
2, 97
List the prime factors of (1/(-2))/(1/(-36)).
2, 3
Let f(c) = c**2 + 4*c + 3. Let n be f(0). Suppose 4*q = 2*r - 38, 5*q - 2*q - 66 = -n*r. What are the prime factors of r?
3, 7
Let w(y) = y**3 + 5*y**2 + 4*y + 3. Let n be w(-4). Suppose 1 + n = 4*h. What are the prime factors of h/(69/(-35) + 2)?
5, 7
Let k(h) = 211*h**3 - 10*h**2 + 7*h + 4. List the prime factors of k(2).
2, 7, 17
Suppose 29*x - 10761 = -22*x. List the prime factors of x.
211
Let z = -376 + 536. List the prime factors of z.
2, 5
List the prime factors of ((-58)/(-8))/(63/8316).
3, 11, 29
Suppose -232 = 4*n - 0*n. Let x = n - -155. What are the prime factors of x?
97
Let o(j) = -7*j + 2. Let d be o(-2). Suppose -d = 3*f - 208. Suppose 3*b - 3*n = 2*b + 36, 2*n = -3*b + f. List the prime factors of b.
2, 3
Suppose 0 = 5*j - 0*i + 4*i - 23, -4*i + 11 = j. Let t = 1 + 6. Let b = t + j. What are the prime factors of b?
2, 5
Let t be (-3 - (-4)/4)*-1. Suppose -l + 2*j = 8, -t*l = -j + 4 - 0. Suppose 0 = 3*o - p - 103, -3*p - 2 + 8 = l. List the prime factors of o.
5, 7
Suppose -8579 = -4*a + 6049. What are the prime factors of 0 + (-6)/(-33) - a/(-33)?
3, 37
Let w = 11 - 15. Suppose 4*k - 294 = -66. List the prime factors of (1 + k)*(-2)/w.
29
Let x be ((-16)/24)/(2/(-12)). Suppose -15 = -x*q - q. Suppose -6*v + 30 = 4*u - q*v, -u - 3*v = -3. | {
"pile_set_name": "DM Mathematics"
} |
u = 3*y + 2*y for y.
5
Suppose -1 + 0 = -f. Solve f + 2 = -3*a for a.
-1
Suppose -u - 11 = -4*a, -3*u - 1 = -4*a - 0*a. Suppose 0 = -u*d - 1 + 16. Solve -3 = -3*z + d for z.
2
Let b be -2*(-2)/(-4)*4. Let x = 8 + b. Suppose 0 = -t + 3*t - 40. Solve 0*q = x*q + t for q.
-5
Suppose i - 4*p - 14 = 0, 4*i = -3*p - p - 4. Suppose 0 = i*a + 2*a - 32. Let d be 57/12 - (-2)/a. Solve d*v - 25 = -0 for v.
5
Let k(q) = q**3 - 3*q**2 - q - 4. Let r be k(4). Solve 2*n = 4*n - r for n.
4
Let k be 26/91 - 47/(-7). Solve -4*a - 9 = k for a.
-4
Let n(v) = -v**3 - v**2 + v + 12. Let t be n(0). Suppose 0 = 5*r - r - t. Suppose 2*j - r*m + 0*m = 15, -m = -j + 6. Solve 6*l - j*l = 6 for l.
2
Let j(m) = -3*m - 2 + 1 + 4*m**3 - 11*m**2 + 4*m. Let z(t) = -t**3 + t**2 + 1. Let r(g) = -j(g) - 5*z(g). Let w be r(-6). Solve w = 3*q - 13 for q.
5
Let h(g) = g**2 + 4*g - 6. Let z be h(-5). Let m be 1/z + 7 + -4. Solve -j + 0 = m for j.
-2
Let u = -2 - -5. Suppose -u*r = r - 24. Solve -t + r*t = 0 for t.
0
Suppose 4*a = -4, 4*n + 3 = -0*n + 5*a. Let h be 5/(n*3/(-18)). Let b be ((-10)/15)/((-2)/h). Solve -2*f - b = -1 for f.
-2
Suppose 3*u - 11 = 4. Suppose -2*n - 5 + 1 = -4*x, -5*x - 10 = u*n. Solve x*b = 4*b for b.
0
Let p(u) = u**3 - 6*u**2 + 2. Let r be p(6). Let q be (4/6)/((-2)/(-6)). Solve 0 + r = -q*s for s.
-1
Let m(h) be the first derivative of h**4/4 + 2*h**3/3 - h**2/2 - 2*h + 3. Let s be m(-2). Solve 4*d = -4 - s for d.
-1
Let x(y) = -y**3 + 5*y**2 - 1. Let u be x(4). Solve 0 = -3*p + 8*p - u for p.
3
Let p(v) = 3*v + 9. Let f(x) = 2*x + 6. Let b(t) = -7*f(t) + 5*p(t). Let q be b(0). Suppose 0 = h - q*h. Solve h*g = -3*g for g.
0
Suppose 4*u + 8 = 24. Solve u*b = -b for b.
0
Let n be 1*(0 + 0) - -8. Solve -v - v = -n for v.
4
Let d be 0 + 0 + 0/2. Let b = -20 - -22. Solve d*n - b*n = 6 for n.
-3
Let f = -80 + 86. Solve -25 = f*a - a for a.
-5
Let j be (3 - (-21)/(-6))*-42. Suppose j - 1 = 5*l. Solve -l*i - i - 25 = 0 for i.
-5
Let o = 42 - -154. Let t be o/10 + 34/85. Solve -2*c = 3*c - t for c.
4
Suppose -2*t + 5 = -t. Suppose 0 = -t*q + 2*c - 0*c + 45, 45 = 5*q - c. Solve 0*l + 3*l + q = 0 for l.
-3
Suppose 4*j + k - 7 = 0, -4*k + 3*k = -4*j + 9. Suppose 0 = j*p - 3*p + 4. Suppose 2*x - p = -2*x. Solve -5*m + 4 = -x for m.
1
Let b be 2/(-10) + 915/75. Solve 0 = -h - 2*h + b for h.
4
Let s be (-12)/78 - 472/(-26). Let u = s - 14. Solve -u*x = -x for x.
0
Let r be (1 + (-3)/(-2))/(47/470). Solve 3*o + r = 8*o for o.
5
Suppose 5*k - 5*a = 190, -k + a + 48 = -2*a. Suppose -3*c = q - c - 13, -5*q + k = 2*c. Solve -q*m - 9 = 6 for m.
-3
Suppose -4*b = 8, 2*c - 2*b = -0*b + 10. Let s = c + -1. Solve -s*n = -4 + 2 for n.
1
Suppose 0 = -2*l + 5*h, -2*l - 4*h + 4 = -14. Solve -3*s - l = -4*s for s.
5
Let l = -62 + 70. Solve -t + l = t for t.
4
Let h(r) = 2*r**2 + r + 1. Let z be h(-1). Solve -i + z = -3 for i.
5
Suppose -2*b + 7*b + 2*h = 10, 25 = -b + 5*h. Solve 6*a - 2*a = b for a.
0
Suppose -6*n + 11*n + 60 = 0. Let l = n - -12. Solve u + 2 = -l*u for u.
-2
Let u(h) = -h**2 + 9*h - 12. Let y be u(6). Solve y = c + c for c.
3
Suppose 2*j = 5*j - 3. Solve b = j + 2 for b.
3
Let t be (90/(-20))/(3/(-4)). Suppose -15*h + 12*h = -t. Solve h*b = 4*b + 8 for b.
-4
Let t(v) = 2*v**2 + 6*v - 4. Let y be t(-5). Suppose 2*b = -2*w + y, 2*b - 9 - 7 = 4*w. Solve 2*l + 0*l = b for l.
4
Let a = 31 - -7. Let g = -26 + a. Solve -y = 2*y + g for y.
-4
Let a be (3/2)/((-3)/(-32)). Suppose o - 3*o + a = 4*y, 5*o = 2*y - 8. Solve 2*f + 0 - 10 = o for f.
5
Suppose 0 = z + 8*z - 6*z. Solve 3*a + z*a = 0 for a.
0
Let q be (338/4)/13 + (-6)/4. Solve -b - q = -0 for b.
-5
Let i(p) = p**3 + 9*p**2 - 12*p - 17. Let s be i(-10). Solve 2*y = s*y for y.
0
Let s = 11 + -6. Let f be 8 - 6/(0 - -3). Solve -l = -f*l - s for l.
-1
Let h = -32 + 35. Solve 0 = q - h*q + 8 for q.
4
Let q = -46 - -48. Solve -2*g = q*g for g.
0
Suppose y = 6*y - 20. Solve -5*t + y = -t for t.
1
Suppose 0*j = 2*j - 4*g + 20, 4*j + 4*g = 20. Let w(s) = 2*s**3 + 5*s**2 + 2*s - 2. Let v be w(-3). Let d = -8 - v. Solve 5*x - 29 + d = j for x.
4
Suppose 0 = -5*p - 4*f + 17 + 31, 0 = -5*p - 3*f + 46. Suppose 0 = 4*k + p - 68. Solve 3*i + k = -0*i for i.
-5
Let w = 6 - -3. Solve 3*b + 0*b + w = 0 for b.
-3
Suppose 0 = 3*a + 5*q - 30, -4*a - 2*q + 26 = -0*a. Suppose z + a = 7. Suppose -z - 16 = -3*g. Solve 2*x + 0*x + g = 0 for x.
-3
Let l be ((-5)/(-10))/((-1)/(-4)). Suppose 4 = -4*v + o, 0*v - l = 2*v + 2*o. Let i be (-8 - 1)*1*v. Solve 0 = 2*w + w + i for w.
-3
Let v(l) be the first derivative of -1/3*l**3 + 0*l + 15/4*l**4 + 2 + 0*l**2. Let w be v(1). Solve -4*s + 6 + w = 0 for s.
5
Let m be 10/(-1) - (-4 + 3). Let v be 6*3*(-1)/m. Solve v*f + 0*f = -4 for f.
-2
Let n = 16 - 9. Suppose 5*o - 28 = n. Suppose -o*f + 2*f + 15 = 5*r, -5*r + 10 = 0. Solve -f + 4 = -w for w.
-3
Suppose -f - 8 = 5*z - 27, 5*z - 3*f - 3 = 0. Let d be (4/6)/(1/z). Solve 5*s - 4*s - d = 0 for s.
2
Suppose 0 = -3*l + 9*l - 18. Solve 2*a + l = -7 for a.
-5
Suppose 2 - 1 = m. Let h = m - -1. Suppose -h*f - 5 = -g, 2*f = -3*g - 2*f - 5. Solve g = j + 3 for j.
-2
Suppose 0 = -4*q, q = 3*i - 3*q + 9. Let c = 9 - 13. Let n be (-1)/(1 - c/i). Solve a = -2*a - n for a.
-1
Let k = -46 - -48. Solve 0*z = z - k for z.
2
Suppose 3*t + 3 = 6. Suppose t = -p - 6. Let b = -4 - p. Solve 3*j + 0*j - b = 0 for j.
1
Let q = 63 + -153. Let t be (1/(-3))/(6/q). Solve t*l = -12 - 8 for l.
-4
Let y(j) = j**3 - 2*j**2 - 3*j + 3. Let u be y(3). Suppose -u*a + 3*t + 2 = -25, -3*a + 2*t + 27 = 0. Solve a*g - 4*g - 25 = 0 for g.
5
Let i(s) = s**3 - 7*s**2 + 10*s. Let x be i(5). Solve x = z - 2*z for z.
0
Suppose a + 46 = 3*a. Let s be (-39)/39*(0 - 3). Solve a = s*l + 8 for l.
5
Suppose -12 = -2*d + d. Let h = d + -12. Solve 5*u + 0*u = h for u.
0
Let z(k) = 2*k + 1 + 1 - 3. Let n be (-3)/12 + 27/12. Let p be z(n). Solve -u - p = -5 for u.
2
Suppose 7 = 2*b - 3. Suppose 0 = -b*d + d + 8. Solve d*k = -k - 6 for k.
-2
Let q = -22 + 24. Solve q*v - 6 = -0*v for v.
3
Suppose 0 = 2*d - 13 - 1. Solve d = -3*s - 5 for s.
-4
Let t(w) be the first derivative of w**2 - 6*w - 8. Let z be t(4). Solve -2*k - z*k = -12 for k.
3
Let p(f) = -2*f**3 - 3*f**2 - f + 1. Let a be p(-2). Suppose 3*s - a*s = 0. Solve s*i = -2*i + 8 for i.
4
Let z(b) = b**2 + 9*b + 2. Let a(c) = c**2 + 8*c + 2. Let r(x) = 5*a(x) - 4*z(x). Let m = 9 + -13. Let d be r(m). Solve 2 + d = 2*i for i.
2
Let q = 33 - 31. Solve -8 = q*x + 2 for x.
-5
Let n = 11 - 6. Solve -n = -8*i + 3*i for i.
1
Let i be -2*(-2 + 0)*-2. Suppose 5*p - 21 = 34. Let f = i + p. Solve z - 2*z = -f for z.
3
Let u = -2 - -4. Suppose 0 = 4*a - 13 + 1. Let r(v) = 2*v**3 - 5*v**2 + 3*v. Let l be r(a). Solve l + u = 5*z for z.
4
Let r = -21 - -25. Solve 0 = j + r*j - 15 for j.
3
Let y(h) = -h**3 + 6*h**2 - 4*h - 3. Let m be y(5). Let c be m + (0 - (0 + 0)). Solve 0 = c*s - 2 for s.
1
Suppose 0 = -3*n + 2*l - 0*l + 14, -3*n + 7 = 5*l. Let o be (-6)/(-4) + n/8. Let v = -9 - -12. Solve 0 = -o*k - v*k for k.
0
Suppose -2*a + 2 = -2. Let h = 10 - 10. Solve -5*z + a*z = h for z.
0
Let r be 3/(-12) - 9/(-4). Suppose -4*y - 5*k = -56 + 4, -4*y = k - 36. Let x be 36/y - 2/4. Solve 0 = -s + r*s - x for s.
4
Let v(s) = -s + 1. Let p be v(-2). Let t = 0 + p. Solve 0*b = t*b for b.
0
Suppose -3*h + 5*w = -h + 11, 0 = -3*h + 3*w - 12. Let j be (0 - (-3)/9)*0. Let f be (-3)/h + j + 0. Solve 4 + f = -i for i.
-5
Let h(o) = o**3 - 1 - 2*o + 0 - 2 - 2*o**2 - o**2. Let z be h(4). Solve z*a - 3*a = -6 for a.
-3
Let u(w) = w**2 - 6*w - 12. Let q be u(8). Solve q*s + 4 = -8 for s.
-3
Let h be (-6)/((-3)/4*1). Let m(k) = 5*k + 20. Let o be m(-5). Let d = o + h. Solve 8*x = d*x for x.
0
Let b = -79 + 82. Let o(s) = 3*s**2 - 4*s + 2. Let x be o(2). Solve -b*y = -x*y + 9 for y.
3
Let q = 22 - 19. Let r(j) = j**2 - 2*j + 4. Let h be r(4). Solve h + q = 5*y for y.
3
Let b = 68 - 65. Solve b*o + 20 = -2*o for o.
-4
Let i = 44 + -30. Let f be -8*4/8 + i. Let b(q) = -q**2 - 6*q + 2. Let o be b(-6). Solve 2*d - o = -f for d.
-4
Suppose 2*z = -3*j + 14, -z + 12 = 3*j + j. Solve -2*k + 4 = -j for k.
3
Let p(a) = -3 + 7*a + 9 - 5. Let z be p(2). Solve 2*v + z = 7*v for v.
3
Let b be (-4)/2 - (-5 + -1). Suppose 0 = -5*n - 31 - b. Let a = n + 7. Solve z - 5*z = a for z.
0
Let v = 29 - 21. | {
"pile_set_name": "DM Mathematics"
} |
(b) 1/3 (c) -4/7 (d) -7 (e) 7
a
What is the fourth biggest value in 1/9, 1/5, 153, -3.37?
-3.37
What is the second smallest value in -1.8, 8570, 1/6?
1/6
Which is the second biggest value? (a) 68 (b) -6 (c) -84 (d) -1/5
d
What is the third biggest value in 1.1, 828, -7/4?
-7/4
What is the second biggest value in -1, 4, -49?
-1
Which is the biggest value? (a) 6 (b) 3 (c) 0.1 (d) 0.4 (e) -10 (f) -48
a
Which is the fourth biggest value? (a) -4 (b) -0.04 (c) 3 (d) 0.15
a
Which is the second biggest value? (a) 30 (b) -7314 (c) -0.5
c
What is the fifth biggest value in -18, -0.5, 0.13, 0, -4?
-18
Which is the second smallest value? (a) -1/3 (b) -0.0309 (c) -9
a
Which is the biggest value? (a) 20 (b) 1/4 (c) 13
a
Which is the second biggest value? (a) 0.288 (b) 258 (c) -1
a
What is the biggest value in -1, -18, -1/10, 4, -5?
4
What is the third smallest value in 0.125, -1981, 0.4?
0.4
What is the second biggest value in 289/79, -2/119, -0.3?
-2/119
What is the third biggest value in 9/5, 5/3, -2.1, 4/5, -0.1, -0.24?
4/5
Which is the second smallest value? (a) -4.2 (b) -17 (c) -166
b
Which is the third smallest value? (a) -1/3 (b) 1919 (c) 1/6 (d) -0.08 (e) -3/2
d
What is the third smallest value in 5, -2, -5, 3/37, -9?
-2
What is the biggest value in 3, 20, 299, 5?
299
What is the second smallest value in -4, 0.1, -0.0638, -0.7?
-0.7
Which is the smallest value? (a) -36 (b) 2/5 (c) -1924
c
Which is the third biggest value? (a) 28 (b) 42 (c) 3
c
Which is the third smallest value? (a) -4/23 (b) 0.05 (c) -5 (d) -0.3 (e) 0.5
a
What is the third smallest value in 3, -13, -1, 0.05, 0.5?
0.05
Which is the biggest value? (a) -3 (b) -5 (c) 15861
c
Which is the biggest value? (a) 6/7 (b) 3/2293 (c) 1 (d) -4 (e) -1 (f) -2/23
c
What is the third smallest value in -0.2, -184.5, 28/27?
28/27
What is the third smallest value in -1/7, -11/29, -0.13?
-0.13
What is the third smallest value in 0, 2, -4/3, 9068?
2
What is the biggest value in 25/16, -499, -3?
25/16
What is the third biggest value in 0.2, 0, -24994?
-24994
Which is the second biggest value? (a) 4/3 (b) 11 (c) -2686
a
What is the fifth smallest value in 371, -6, -1, 0.7, -4/3, -3/2?
0.7
Which is the second smallest value? (a) 2 (b) -0.1 (c) 1850/67
a
Which is the sixth biggest value? (a) 1/4 (b) -1/2 (c) -2 (d) 0.798 (e) -1 (f) -4/5
c
Which is the fourth biggest value? (a) 0 (b) 0.6 (c) -73 (d) 11
c
What is the second smallest value in 4, 1, 542, 1/4, 4.6, 0.5?
0.5
What is the fourth biggest value in -3, 5, 3/8, 0.6?
-3
Which is the fourth biggest value? (a) 4 (b) 0.1 (c) -8 (d) -3/41
c
What is the second smallest value in -2, -2/3, -1/3374, -3, -0.43, -5?
-3
What is the second smallest value in 4/23, 1/2, 0, -34, -3?
-3
Which is the smallest value? (a) -522 (b) 2 (c) 0 (d) 3/662
a
Which is the smallest value? (a) -11 (b) 0.1 (c) 5 (d) 1/4
a
Which is the biggest value? (a) 0.28 (b) 2 (c) 5 (d) -58
c
What is the fifth smallest value in -2/13, 2/9, -498, 0.4, -1, -0.4?
2/9
Which is the biggest value? (a) 2 (b) 0.4 (c) 0.2 (d) -2/19 (e) 144 (f) -0.01
e
What is the third smallest value in 112, -2/7, -1.5?
112
What is the smallest value in 131, 10, -1, -58, -5?
-58
Which is the fourth biggest value? (a) -39 (b) 3 (c) -11/6 (d) 1/5
a
What is the biggest value in 2, 1.82, -5, 8, -3?
8
Which is the sixth biggest value? (a) 2 (b) 0.2 (c) 3 (d) -3 (e) -1/3 (f) 14.4
d
Which is the smallest value? (a) -2/41 (b) 0.09 (c) 175
a
What is the second smallest value in 2/5, -0.2, 0.14, -3/11, -161?
-3/11
Which is the second biggest value? (a) -0.2 (b) 2156 (c) 60
c
Which is the fourth biggest value? (a) -0.3 (b) 3 (c) 1/842 (d) -5
d
Which is the third biggest value? (a) -1/546 (b) -0.3 (c) 34
b
What is the smallest value in 1/4, -1/9, -2483, 1/2?
-2483
Which is the fourth smallest value? (a) -2/9 (b) 4 (c) 0.4 (d) -119 (e) 0.2
c
Which is the second smallest value? (a) 0.29 (b) 172 (c) 3 (d) -1
a
Which is the sixth smallest value? (a) -1.6 (b) 1/3 (c) -0.1 (d) 9 (e) 2/7 (f) 27
f
What is the second biggest value in -0.5, -3.84, -2/5, 0.5?
-2/5
Which is the sixth smallest value? (a) 3 (b) -0.2 (c) -0.4 (d) 25 (e) 5 (f) -5/4
d
What is the biggest value in 21, 2, 0.05, 26/7?
21
What is the third biggest value in -47, -4, -13, 209?
-13
What is the third biggest value in 0.3, -485, -0.5, 119?
-0.5
What is the second smallest value in -41006, -1, -4?
-4
Which is the third biggest value? (a) 1 (b) 87/4 (c) 3 (d) -5/2
a
Which is the smallest value? (a) 19 (b) -0.2 (c) 0.203 (d) -5 (e) 2
d
Which is the fourth smallest value? (a) 0 (b) -19655 (c) -3 (d) -1
a
What is the fourth biggest value in 2/13, -2.3, 0.5, -0.5, -5, -8?
-2.3
Which is the fourth biggest value? (a) -0.028 (b) -4/3 (c) -4/5 (d) -0.1 (e) 9.5
c
Which is the smallest value? (a) -41 (b) 3 (c) -5 (d) 0.5 (e) -3/5
a
Which is the smallest value? (a) 0.2 (b) -0.4 (c) 2 (d) 1.85 (e) -16
e
What is the third smallest value in 17/86, -0.01, 2, -5?
17/86
Which is the second biggest value? (a) -1/9 (b) 0.156 (c) -138
a
What is the third biggest value in -2, -3/8, 1/55, 70, 2/9?
1/55
What is the third biggest value in 3, 0.067, 0.5, 4, 0?
0.5
Which is the third biggest value? (a) -0.2 (b) -9/2 (c) 145.5 (d) 6/11
a
Which is the biggest value? (a) -1/3 (b) 92 (c) 9 (d) -4 (e) 2
b
Which is the third biggest value? (a) 2948 (b) 6 (c) 0.2
c
What is the second smallest value in -29, -0.3, 3, -1, 0.59, -0.5?
-1
What is the biggest value in -2, -5, 2/19, 0.058193?
2/19
Which is the third biggest value? (a) -100/23 (b) -3/5 (c) 8
a
What is the third biggest value in -2328, -1/3, -3, -4?
-4
What is the fifth biggest value in 5, 2, -8890/13, 0.3, -3?
-8890/13
Which is the fifth biggest value? (a) -2 (b) -5 (c) 5 (d) -4/3 (e) -29
e
Which is the third biggest value? (a) -1/4 (b) -0.2 (c) 0.14
a
Which is the biggest value? (a) -1/4 (b) 8 (c) -35 (d) -1.76
b
What is the biggest value in -0.1, 5734, -4/7, -1?
5734
Which is the biggest value? (a) -0.3 (b) 0.3 (c) -5/4 (d) 0.196
b
What is the sixth smallest value in -0.4, 0.024, 2.8, -5, 4, 1/5?
4
What is the second smallest value in 1/35, -5, 1/3, 202, -0.1, -2?
-2
Which is the third biggest value? (a) 2/11 (b) -0.2 (c) 1587
b
What is the third smallest value in -13, -2/15, -86, -1/9, -2?
-2
Which is the biggest value? (a) 1/5 (b) 5 (c) 1/4 (d) 1/3 (e) -5/4 (f) 1/551
b
Which is the third biggest value? (a) -3/11 (b) 17/2 (c) 4 (d) -49/5
a
Which is the second smallest value? (a) 0.2 (b) 3530 (c) 69 (d) 2/3 (e) 0.4
e
What is the biggest value in 944/3, 0.01, 0, 2/9?
944/3
What is the fifth biggest value in -98, -5, -2, 3, 37, 0.2?
-5
Which is the third biggest value? (a) 8/2245 (b) -0.1 (c) 0.11
b
Which is the smallest value? (a) 2/9 (b) -4/443 (c) -1
c
What is the third biggest value in -0.3, 2, -0.2, 4669?
-0.2
Which is the smallest value? (a) -4 (b) 0.3 (c) -6/8075
a
Which is the biggest value? (a) -3 (b) -2/13 (c) 0.5 (d) 258440 (e) -0.3
d
Which is the smallest value? (a) -1/3 (b) 3 (c) -2/47 (d) -2/5 (e) 0.5 (f) 5
d
Which is the second smallest value? (a) 0.3 (b) -9177 (c) -0.2 (d) -3 (e) -2.3 (f) -2
d
What is the fourth smallest value in -1/8, -0.1, 6, -4, 37?
6
What is the third smallest value in -192, -1, -6, -4, 4?
-4
Which is the biggest value? (a) -6/11 (b) 1 (c) 0.2 (d) 18 (e) 4/3 (f) -6
d
Which is the fifth smallest value? (a) 3/4 (b) -4 (c) 1645 (d) -2 (e) -5
c
What is the fourth smallest value in 14384, 4, -4, -2, -1, 2/15?
2/15
What is the second biggest value in 0, 50/79, 25, 3, -1/7?
3
What is the second biggest value in -9, 3/5, 5, -0.1, -1/14, -1?
3/5
Which is the sixth biggest value? (a) -20 (b) -3 (c) 1/2 (d) -23 (e) -4 (f) 1/11
d
Which is the third smallest value? (a) 4 (b) 2/17 (c) 0.04 (d) -3/19 (e) 2/15 (f) -5
c
Which is the second smallest value? (a) -2/29 (b) -2 (c) 4713
a
Which is the third biggest value? (a) 10 (b) -2/21 (c) 170
b
Which is the fourth smallest value? (a) 1 (b) -1/3 (c) -462 (d) 2 (e) 2/19 (f) 1/2
f
Which is the biggest value? | {
"pile_set_name": "DM Mathematics"
} |
Solve 82*h - 85*h = 4*s + 7, -3*h + 5 = s for h.
3
Solve -30 + 19 = 2*u - 5*j, 0 = 3*u + 4*j + 28 for u.
-8
Solve u - 4*s + 21 = 0, -4*u + 26 = 5*s + 5 for u.
-1
Solve 2*s + 8 + 7 = 3*v, -15 = s - 3*v for s.
0
Solve -2*u + 4*z = -20, 5*z = 3*u - 28 + 1 for u.
4
Solve -q + 3*o = -10, -2 = 3*o + 10 for q.
-2
Solve -2*a - 16 = -z - 18, 0 = -3*z + 12 for a.
3
Solve -2*j = -61*m + 58*m + 3, 3*j = -3*m + 3 for j.
0
Solve -15*s = -11*s + 3*l + 10, 5*s + l + 18 = 0 for s.
-4
Solve 0 = -5*v - h - 5, 6*h - h = 0 for v.
-1
Solve 6*q - 5 = 3*v + 11*q, 0 = 2*v + q + 1 for v.
0
Solve 3*t + 405 - 410 = 4*c, 0 = -2*t - 5*c + 11 for t.
3
Solve -14 = -q + 3*n, 5*q + 120*n - 14 = 121*n for q.
2
Solve -5*x + 2*y + 15 = 5*y, 9 = 3*x + 5*y for x.
3
Solve -3*i + 3*g - 9 = 8*g, -4*i - 3*g - 1 = 0 for i.
2
Solve 4*m - 4*y + 44 = 0, 4*y - 575 + 580 = -3*m for m.
-7
Solve 4*f - 4*v = 16, -4*v + 20 = -f - 9*v for f.
0
Solve 5*p + s = 2*p + 17, 10 = 5*s for p.
5
Solve -10*y + 2 = -12*y, 4*f - 16 = -4*y for f.
5
Solve 45*n - 40*n = -4*f, -3*f = -n + 19 for f.
-5
Solve 0 = -n + 5*l - 1 - 9, 4*n - l + 21 = 0 for n.
-5
Solve -2*v - 1 = 2*p + 1, 0 = -2*p - 5*v - 8 for p.
1
Solve 0 = -4*s - 2*h, -70*s + 4 = -68*s + 2*h for s.
-2
Solve -2*s = 2*f + s + 9, -3*f - 6 = 2*s for f.
0
Solve -6*i + 9 = -2*i + 3*n, -2*n = -6 for i.
0
Solve -2*u - 2*m = -0*u, 3*u - 4*m = 28 for u.
4
Solve -54*u - b - 1 = -51*u, 3*u - 19 = -5*b for u.
-2
Solve v + 7 = -2*i, -6*v = -11*v + 2*i + 13 for v.
1
Solve -3*k - 4*q = -31, 7*k - 11*k + q = -16 for k.
5
Solve -3*b - 2*c + 4 = -b, -5*c - 10 = 0 for b.
4
Solve -2*z + 2*w - 8 = -0*z, -5*w + 20 = 2*z for z.
0
Solve 0 = -2*x + 53*d - 56*d + 15, -4*x = 5*d - 25 for x.
0
Solve 0 = -2*t + 20, 12 - 62 = 3*c - 5*t for c.
0
Solve -4*n + 16 = 0, -8*k + 2*n = -9*k + 12 for k.
4
Solve -3*o - 4*t + 12 = -3*t, -4 = -o - 2*t for o.
4
Solve 5*s - 2 = -f, -8*s + 5*s - 3*f + 6 = 0 for s.
0
Solve -r - 18 = -4*z, 3*z - r - 2*r = 9 for z.
5
Solve 4*x + x - 25 = 5*h, -x - 7 = 5*h for h.
-2
Solve -2*y - 37 = -5*z, 3*y = 13*z - 9*z - 31 for z.
7
Solve -4*d = 0, -d = -5*w - 0*d - 20 for w.
-4
Solve -3*f + 2*u = -2 + 3, -5*f - 8 = 3*u for f.
-1
Solve -u = 6*j - j - 5, 5*u - 25 = -3*j for j.
0
Solve 16*c - 25 = i + 11*c, 2*i + c + 6 = 0 for i.
-5
Solve 0 = -2*z + 3*s + 13, -3*z = -0*s + 2*s for z.
2
Solve 0 = c + 4*s + s - 26, -3*s + 12 = -3*c for c.
1
Solve 13*n = 11*n - 4*l - 6, 4*l = 4*n - 12 for n.
1
Solve -5*p + 7*p + 6 = 0, 3*p = -5*d + 16 for d.
5
Solve -5*b - 23 = 3*v, 4*b - 3*b = -5*v - 9 for v.
-1
Solve 4*c + 605 = -4*a + 589, 2*c + 8 = 2*a for c.
-4
Solve -29*k + s = -25*k - 19, 2*k - 5 = 5*s for k.
5
Solve 0*q + 2*b = 3*q - 2, 0 = 4*q + 5*b + 28 for q.
-2
Solve 11*i = -5*y + 7*i - 5, y = 5*i - 30 for y.
-5
Solve -26*q = -4*y - 31*q - 32, -2*q - 14 = 2*y for y.
-3
Solve 3*y + 4*c = 6 - 11, 3*y + c = 1 for y.
1
Solve -2*p + 3 = -m, m - 12 = -11 for p.
2
Solve 0 = 4*d - 5*u + 6, d - 33*u = -31*u for d.
-4
Solve 3*h - 1 = 4*z, 0 = 32*h - 33*h - 5 for z.
-4
Solve 3*v - 2*q - 12 = 0, -3 + 23 = 5*v - 5*q for v.
4
Solve p - 10 = 3*p, -26 = -3*j + 4*p for j.
2
Solve 4*l = 8*l + 12, 4*x = 3*l - 11 for x.
-5
Solve -h - 22 = -4*f - 17, -1 = -2*f + h for f.
2
Solve -5 = -5*c + 43*d - 38*d, -2*d + 1 = -5*c for c.
-1
Solve 4*a + 4*c - 5*c = 1, 4*c + 16 = 4*a for a.
-1
Solve 4*u = -f + 2, 3 + 11 = -5*f + 4*u for f.
-2
Solve 2*c + 2*c + 16 = 2*j, 0 = 3*j + 3*c - 6 for j.
4
Solve 5 = -w - p, 4*w + 3*p + 20 = 2*p for w.
-5
Solve 114*u + 22 = 109*u - 3*m, -u + 18 = -5*m for u.
-2
Solve -3*u - 25 = 2*k, 45 = -4*u - 17*k + 12*k for u.
-5
Solve -3*c + 6 = 3*i, -4*i - 103*c + 107*c = -32 for i.
5
Solve -a = 3*j - 7 + 11, 5*j + 3*a + 4 = 0 for j.
-2
Solve -2*x + 2*u - 14 = 5*u, -4*x + 16 = -5*u for x.
-1
Solve p + q = 8, -4*p + q + 15 + 2 = 0 for p.
5
Solve 3*b + 20 = -4*d, -2*b + 45*d - 43*d = -10 for b.
0
Solve 21 = 2*q + 4*a + 1, 5*a = -q + 22 for q.
2
Solve r = m + 6 + 1, -2*m + 16 = 4*r for m.
-2
Solve 0 = s + 5*l - 2, -5*l + 18 = 3*s + 2 for s.
7
Solve 5*h - 2*f = 18 + 3, 3*f + 9 = 0 for h.
3
Solve -12*s - 10 = -14*s - a, -8 = -4*a for s.
4
Solve -s = -6*s - 2*r - 27, 21 = -4*s - r for s.
-5
Solve 0 = -3*u + 5*o, -37*u + 2*o = -34*u for u.
0
Solve -t = 20*k - 16*k - 20, -12 = -2*k - t for k.
4
Solve -95*s + 92*s - 17 = -2*z, -4*z + 28 = -4*s for z.
4
Solve -5*z - 25 = -2*o, -8*o + 3*o + 5*z = -25 for o.
0
Solve 20 = -4*x, 0 = -3*p + 2*x + 11 + 5 for p.
2
Solve -2*c - 5*k = -0*c + 10, 3*k = 5*c - 6 for c.
0
Solve -6*i + 4*v + 16 = -i, 10 = 3*i - 2*v for i.
4
Solve -q - 4 = 2*c - 3, 0 = q - 3*c + 1 for q.
-1
Solve -j - 4 = -4*g - 3, 4*j + 4 = -5*g for g.
0
Solve -3*w - 23 = -c - 21, 5*c = 4*w - 12 for c.
-4
Solve 3 = c - p, 0 = -2*c + 9*p - 5*p + 10 for c.
1
Solve -3*a + 9 = -y, 0*a - 2*y - 2 = -2*a for a.
4
Solve -z - 13 = 4*i, 0 = 3*z + 4*i - 1 + 16 for z.
-1
Solve -4*o - 4*v = -4, 0 = -2*o + 7*o + 4*v - 1 for o.
-3
Solve -8*a = -4*a - b - 17, 4 = 3*a + b for a.
3
Solve -5*w - 2*z + 3 = 0, -4*w - z = -3*z - 6 for w.
1
Solve -4*l + 4*f = -4, -2*l + 4*f + 28 - 36 = 0 for l.
6
Solve 2*l - 4*q - 14 = 0, -13*q + 14*q + 14 = 4*l for l.
3
Solve -90*x + 4*w = -91*x - 17, -3*w + 6 = -3*x for x.
-5
Solve 10 = m + 5*s, -4*s + 2 = -10 for m.
-5
Solve 5*v - r - 4 = 0, 283*r = 281*r - 8 for v.
0
Solve -23*u - 3*y = -19*u - 7, 5*u = 5*y for u.
1
Solve 0*u - 2*o + 36 = -12*u, 0 = 4*u - o + 14 for u.
-2
Solve 4*x + 2 = h - 3, -3*x = 2*h + 1 for h.
1
Solve u - 20 = 5*w, 3*w + 11 = -3*u + 17 for u.
5
Solve -w + 18 + 9 = -9*v, 4*w + 5*v + 15 = 0 for w.
0
Solve -2*f + 5*t = 1, 0*f - 4*t = -5*f - 11 for f.
-3
Solve 0 = 3*h + 6, -o = 57*h - 62*h - 9 for o.
-1
Solve 2*q = -f - 2 + 3, -2*f = -3*q + 19 for f.
-5
Solve -3*c - 9 = -2*r - 4, -16 = -4*r for c.
1
Solve -4 = -4*a, 0 = 2*u - 3*a - 30 + 43 for u.
-5
Solve 0*u + a - 16 = 4*u, -5*a - 40 = 4*u for u.
-5
Solve 0*c - 4*x + 36 = -5*c, 12 = c + 4*x for c.
-4
Solve 4*n - 3*j = -4, -179*n + j - 8 = -181*n for n.
2
Solve 3*l - i - 7 + 18 = 0, 4*l - 5*i = -33 for l.
-2
Solve 4*g + n + 21 = 0, g = -5*n + 25 - 54 for g.
-4
Solve -5*o - 11 + 16 = -2*l, 0 = -5*l + o + 22 for l.
5
Solve 0 = -3*o - 3*c - c + 24, 5*c = 15 for o.
4
Solve 0 = j - 2*l - 10, -j - 2*l = -0*l + 6 for j.
2
Solve 3*m - 3*r = -0*m + 9, -4*m - 5*r + 12 = 0 for m.
3
Solve 3*o - 2*y = 14, 0 = o - 285*y + 284*y - 5 for o.
4
Solve 0 = 4*p + 2*l, -5*p - 1 = -4*l - 27 for p.
2
Solve 3*d - 3 = -4*t, -3*d = t - 6*t - 3 for d.
1
Solve 2*d = m + 5, -d + 10 = 3*m - 2*d for m.
5
Solve -5*c = 98 - 118, 3*q = 5*c - 20 for q.
0
Solve 5*v - 4*n = -13 + 38, -5*v = -12*n - 65 for v.
1
Solve -3*m + 27 = 4*y, 5*m + y - 101 = -73 for m.
5
Solve x - 3*c + 5 = 0, -2*x - 25 = 3*x - 4*c for x.
-5
Solve -1 = 4*h - 3*c, 0 = -2*h - 2*c + 7*c + 3 for h.
-1
Solve -a + 15 = 2*a + 3*m, 0 = 2*a + 4*m - 10 for a.
5
Solve 12*r + 14 = 4*c + 11*r, -c = 2*r - 8 for c.
4
Solve 21 = 5*g - 2*o, 3 = -4*g + 10*o - 15*o for g.
3
Solve 0 = -5*b + 2*a - 33, -40*b = -42*b - a - 6 for b.
-5
Solve 0 = -2*x - 3*x + d + 13, 0 = 3*x - 4*d - 1 for x.
3
Solve f + b + 0*b = -7, 0 = 5*f + 4*b + 32 for f.
-4
Solve 3*l + 0*s = 3*s, 5*l + s - 18 = 0 for l.
3
Solve -4*a - 4*n + 24 = 0, 3*a = 4*n + 5 - 1 for a.
4
Solve -2*u - 5*w = 4, -4*u - w = 4*w + 8 for u.
-2
Solve -13*j = -10*j - p + 8, 4*p = j - 1 for j.
-3
Solve -2*l + 14 = 4*g, 6*l + 3*g = l for l.
-3
Solve -4*g = -3*x - 7, 7*x + 3 = 8*x for g.
4
Solve 2 = -5*k + t, 6 = 4*k - 3*t + 1 for k.
-1
Solve 5*o - 5*v = 0, 2*o - 2*v = -o - 2 for o.
-2
Solve 2 = -2*d, 0 = -t - 3*d - 15 + 17 for t.
5
Solve 2*w - 10 = -5*k, -4*k + 5*w + 2 = 27 for k.
0
Solve -4*g + 4 = d, 0 = -g + 3*d + 1 - 13 for g.
0
Solve 5*q - 17*v + 14*v = -3, 4*v = 4 for q.
0
Solve n - 2 = 0, 7*s = 2*s + 5*n - 5 for s.
1
Solve -17 = z + 4*o, -3*z - 6*o = -3*o + 6 for z.
3
Solve -4*h - 3 = 3*m, 2*h + 6 = 5*h + 5*m for h.
-3
Solve 6*v - 7*r - 6 = -3*r, 6 = 3*v - r for v.
3
Solve 4*n - 5*n = -5*o - 30, 4*o + 4*n = 0 for o.
-5
Solve -4*n + 2*b + 1 = n, -5*n + b + 3 = 0 for n.
1
Solve x - 4*l = 6 + 9, -x + 3*l = -12 for x.
3
Solve 4*w - 4 = -4*n, 14*w - 16 = 10*w for n.
-3
Solve r + 3*m = -12, -4*r - 21 = -2*m + 5*m for r.
-3
Solve 5*w = 2*a + 10, -5*w - 3*a - 19 = -54 for w.
4
Solve -1 = 2*r - 2*z - 3, 4*r + 5*z + 41 = 0 for r.
-4
Sol | {
"pile_set_name": "DM Mathematics"
} |
, -1/10
Sort 0, -353, -5014 in descending order.
0, -353, -5014
Put -34, 4, -42442 in decreasing order.
4, -34, -42442
Sort -1/6, -0.001067, -3/7 in descending order.
-0.001067, -1/6, -3/7
Sort 2, 12, 0, -2/17, 0.3, -0.4.
-0.4, -2/17, 0, 0.3, 2, 12
Put 1, -21.733, -0.4 in ascending order.
-21.733, -0.4, 1
Sort 3, -3, 0, -0.287.
-3, -0.287, 0, 3
Sort -4, 0, 14, 27189 in descending order.
27189, 14, 0, -4
Put 393, -108, -2 in descending order.
393, -2, -108
Sort -5, -1/593, 12.
-5, -1/593, 12
Put 7, 1, 0, 4, -13, 3 in increasing order.
-13, 0, 1, 3, 4, 7
Put -3, 0, -2, -75, 703 in decreasing order.
703, 0, -2, -3, -75
Sort 1, 0.7, 8422 in decreasing order.
8422, 1, 0.7
Put 0.4, -0.7, -847, 1, 4/5 in decreasing order.
1, 4/5, 0.4, -0.7, -847
Sort -27503, 5, -13 in decreasing order.
5, -13, -27503
Put 1, -2, 5, -2607 in increasing order.
-2607, -2, 1, 5
Sort 2/17, -6/11, 37, -16, -0.2, 2 in ascending order.
-16, -6/11, -0.2, 2/17, 2, 37
Sort 0, -538, -72, 1.
-538, -72, 0, 1
Sort 4, -18, -4, 0, 17, -3.
-18, -4, -3, 0, 4, 17
Put -0.0051, 1371, 2/3, 3/5 in decreasing order.
1371, 2/3, 3/5, -0.0051
Put -62, -93, -3, -2, -69 in increasing order.
-93, -69, -62, -3, -2
Sort 71, -39, 3/8, 1/4, 4 in ascending order.
-39, 1/4, 3/8, 4, 71
Put 0.547, -4, -0.32, -1 in increasing order.
-4, -1, -0.32, 0.547
Put -48, -109, 5, -4 in ascending order.
-109, -48, -4, 5
Sort 17, 19326, 5, 1 in ascending order.
1, 5, 17, 19326
Put 0, -541, -81 in descending order.
0, -81, -541
Sort -99, -15, -3, 4, 5 in decreasing order.
5, 4, -3, -15, -99
Sort 5, -103, -6, 2 in ascending order.
-103, -6, 2, 5
Put -9, 2, 1, 7050 in descending order.
7050, 2, 1, -9
Put 1, -116, 0, -0.2 in descending order.
1, 0, -0.2, -116
Sort 388, 3, 2, -5, -2.
-5, -2, 2, 3, 388
Put -5, 1, -3, -116, 235, 0 in decreasing order.
235, 1, 0, -3, -5, -116
Sort -2/7, 0.3, 3, 51, 17 in increasing order.
-2/7, 0.3, 3, 17, 51
Put 1, -412, -1, 20 in ascending order.
-412, -1, 1, 20
Sort 5, 0.2, -2/13, 0.5, 19, 39.
-2/13, 0.2, 0.5, 5, 19, 39
Sort 1, -1/4, -0.5, 509.
-0.5, -1/4, 1, 509
Sort 4, 30, -2469 in decreasing order.
30, 4, -2469
Put 5, 0, -5, -271, -1 in decreasing order.
5, 0, -1, -5, -271
Sort -0.05, 22, 1/4, 11/2, -1/3, -3 in ascending order.
-3, -1/3, -0.05, 1/4, 11/2, 22
Sort 3, 3257, 45 in increasing order.
3, 45, 3257
Sort -5, -1, 5, 93798, 3 in descending order.
93798, 5, 3, -1, -5
Sort 204, -1, -5 in increasing order.
-5, -1, 204
Sort -0.4, -3, 163, 4, -29 in ascending order.
-29, -3, -0.4, 4, 163
Sort -37/15, 0.04, -0.3, -5/4.
-37/15, -5/4, -0.3, 0.04
Sort -182/9, -2/47, 2.3 in descending order.
2.3, -2/47, -182/9
Sort 0.08645, -1/4, 3 in decreasing order.
3, 0.08645, -1/4
Sort 6196, 3, 1.
1, 3, 6196
Put -4, -18, -6, -39 in descending order.
-4, -6, -18, -39
Sort 1, 77, 3, -19.
-19, 1, 3, 77
Sort -8, 5, -5, -4, 0, -34 in increasing order.
-34, -8, -5, -4, 0, 5
Put 2, 4, 0, -4, 53, -2 in increasing order.
-4, -2, 0, 2, 4, 53
Put 1, -3, 4437687 in ascending order.
-3, 1, 4437687
Put -1, 3, 2, -3, -4, 494 in descending order.
494, 3, 2, -1, -3, -4
Put 47, 30, 1, -21 in descending order.
47, 30, 1, -21
Sort 0.2, -1/136, 2/15, -1, 8, 3.
-1, -1/136, 2/15, 0.2, 3, 8
Put 1, -1, 24, -3, 3 in decreasing order.
24, 3, 1, -1, -3
Sort -2419, 24, 5 in increasing order.
-2419, 5, 24
Put 5, -43, 8, -5 in ascending order.
-43, -5, 5, 8
Put 216, -3, -38, 1, 2 in increasing order.
-38, -3, 1, 2, 216
Put 0.2, -73, 133, 1 in descending order.
133, 1, 0.2, -73
Put -9, 148, -2, -1/4 in decreasing order.
148, -1/4, -2, -9
Sort -0.3, 57, 0.359 in descending order.
57, 0.359, -0.3
Sort -2, 16, -4, -12, 4, 39 in increasing order.
-12, -4, -2, 4, 16, 39
Sort -2, -0.2, 2, 5.361 in ascending order.
-2, -0.2, 2, 5.361
Put 2/31, -5, -37, 4, 0.08, -1.5 in descending order.
4, 0.08, 2/31, -1.5, -5, -37
Sort -3, 0.2905, 0.3, -0.04.
-3, -0.04, 0.2905, 0.3
Sort -13, 6, 0.11, 59 in decreasing order.
59, 6, 0.11, -13
Put 400, 4/121, -1 in descending order.
400, 4/121, -1
Put 0, 17, -623, -4, -3, 3 in ascending order.
-623, -4, -3, 0, 3, 17
Sort -614, -3, 0, -4, 2 in decreasing order.
2, 0, -3, -4, -614
Sort 0.042, 16, -0.4, 3 in decreasing order.
16, 3, 0.042, -0.4
Put 5/12, -2, 2/7 in decreasing order.
5/12, 2/7, -2
Sort 5, -4, 59/2616, -3/2, -0.1 in descending order.
5, 59/2616, -0.1, -3/2, -4
Put 1258, -3, -12 in ascending order.
-12, -3, 1258
Sort -43, 176, 6 in decreasing order.
176, 6, -43
Put -4, 5, 4339 in descending order.
4339, 5, -4
Sort 0.039, -5, 1, -1, 0.03, -4/9 in ascending order.
-5, -1, -4/9, 0.03, 0.039, 1
Put -20, 130, -11, 5 in increasing order.
-20, -11, 5, 130
Sort 54867/22, -3, 3/8 in increasing order.
-3, 3/8, 54867/22
Sort 0, -4, 30, -1, 11.
-4, -1, 0, 11, 30
Sort 58.04, 2, -1/55 in descending order.
58.04, 2, -1/55
Sort -3, 5, -0.076, 63, 2/11, 0 in increasing order.
-3, -0.076, 0, 2/11, 5, 63
Sort -4.564, -2, -7, -3.
-7, -4.564, -3, -2
Sort -7, 2, 51, 0, -6, 4.
-7, -6, 0, 2, 4, 51
Put -2, 1, 100, -95 in decreasing order.
100, 1, -2, -95
Sort -1, 3, -10996, -2.
-10996, -2, -1, 3
Sort 33, -1, -2, 0, -521.
-521, -2, -1, 0, 33
Sort 12, 50, 33 in increasing order.
12, 33, 50
Sort 3413, 4, 3, 310 in descending order.
3413, 310, 4, 3
Put 2/2497, 0.1, -2/3, 0.5 in decreasing order.
0.5, 0.1, 2/2497, -2/3
Sort 0.2, 0.01, -3, -2/1167 in increasing order.
-3, -2/1167, 0.01, 0.2
Sort 2, 15, 1238 in descending order.
1238, 15, 2
Sort 24, -15972, 4 in ascending order.
-15972, 4, 24
Sort 6/7, 0.1, 2/123 in increasing order.
2/123, 0.1, 6/7
Sort -0.4, -5, -3, 40117 in increasing order.
-5, -3, -0.4, 40117
Sort 1/4, -4, -31, 3099 in decreasing order.
3099, 1/4, -4, -31
Sort 7, -1/7, 1/6, 58, -0.4.
-0.4, -1/7, 1/6, 7, 58
Put -43, 4, -28, 0.3 in ascending order.
-43, -28, 0.3, 4
Put 6, -3, -40, 4, -4 in decreasing order.
6, 4, -3, -4, -40
Put -169, 4, 7, -146/7 in increasing order.
-169, -146/7, 4, 7
Put -1243, -0.3, 0.5, 2/3 in descending order.
2/3, 0.5, -0.3, -1243
Sort 4, -53, -2 in decreasing order.
4, -2, -53
Sort -1, -2712, 1/3, 0.04, 27 in descending order.
27, 1/3, 0.04, -1, -2712
Sort 39.754, 4, 2/15 in ascending order.
2/15, 4, 39.754
Put 0.096, -0.095, -0.5 in ascending order.
-0.5, -0.095, 0.096
Sort -1619, -2, -1 in decreasing order.
-1, -2, -1619
Put -20, 24, -60, 0, 4, 2 in ascending order.
-60, -20, 0, 2, 4, 24
Put 2, -4, 3/19, 572 in decreasing order.
572, 2, 3/19, -4
Put -16, -70, -3/178 in descending order.
-3/178, -16, -70
Sort -0.0077, -5, -0.7, -3, 4, 0.3.
-5, -3, -0.7, -0.0077, 0.3, 4
Put 3, -1, 1, -3/8, -2045, 2/7 in descending order.
3, 1, 2/7, -3/8, -1, -2045
Sort -7, 4, -149, -5, -4.
-149, -7, -5, -4, 4
Put -2, 35218, -5 in ascending order.
-5, -2, 35218
Sort -3, -19, 5, -4, 7, 19.
-19, -4, -3, 5, 7, 19
Sort 1, -9, -201, 3, 4.
-201, -9, 1, 3, 4
Sort -6, -2, -10, -3/11, -26 in ascending order.
-26, -10, -6, -2, -3/11
Sort -13, -408, 0 in decreasing order.
0, -13, -408
Put 5, 8, 9, -3, -14 in ascending order.
-14, -3, 5, 8, 9
Put -0.1, -1141, -2/5 in ascending order.
-1141, -2/5, -0.1
Sort -1639, -1/11, -51, -3 in decreasing order.
-1/11, -3, -51, -1639
Put 0.6, -11/25, -16/5 in ascending order.
-16/5, -11/25, 0.6
Put 25505, 3, 43 in descending order.
25505, 43, 3
Sort -41, 1, -1, -52, -3 in descending order.
1, -1, -3, -41, -52
Sort -80, -12, 5, -1.
-80, -12, -1, 5
Put -2, 1, 3, 8, 6050 in ascending order.
-2, 1, 3, 8, 6050
Sort 5.3, 5, 6, 42/11 in descending order.
6, 5.3, 5, 42/11
Put 721, 1/2, 0.046, 3/8 in descending order.
721, 1/2, 3/8, 0.046
Sort -3/8, 9.5, -2, 1 in decreasing order.
9.5, 1, -3/8, -2
Put 3, 74, 0.0401 in ascending order.
0.0401, 3, 74
Put -3, -21, -4, 24, 5 in decreasing order.
24, 5, -3, -4, -21
Sort 1/6, -0.2, 0, 0.4, 2, 2/33 in increasing order.
-0.2, 0, 2/33, 1/6, 0.4, 2
Put 1/3, -2/3, -21761, 0.1 in decreasing order.
1/3, 0.1, -2/3, -21761
Put 2, -19722, -1 in increasing order.
-19722, -1, 2
Sort -2, 2.3, -714, 4, -0.5, -2/7 in decreasing order.
4, 2.3, -2/7, -0.5, -2, -714
Put -689, -8, 2, 5/2, 0.2 in decreasing order.
5/2, 2, 0.2, -8, -689
Sort 20, 0, -2442, 5 in increasing order.
-2442, 0, 5, 20
Put 1/7, 0.2, -0.01, 12, 3 in descending order.
12, 3, 0.2, 1/7, -0.01
Sort 85, -5, 5, -7 in ascending order.
-7, -5, 5, 85
Put 1616, -3, 1, -2 in ascending order.
-3, | {
"pile_set_name": "DM Mathematics"
} |
(sqrt(272) + -3)**2*-3.
-843 + 72*sqrt(17)
Simplify 1 + 3 + 1 + sqrt(162) + 0.
5 + 9*sqrt(2)
Simplify (sqrt(11) - (sqrt(11) + sqrt(33)/(2*sqrt(3))))*-2.
sqrt(11)
Simplify -2*sqrt(147) + (sqrt(3) + 2*1*sqrt(3) - sqrt(3)) + sqrt(3).
-11*sqrt(3)
Simplify (sqrt(896)*-2 + sqrt(896))/(-3*sqrt(200)).
4*sqrt(7)/15
Simplify -1*sqrt(5) + 3 + sqrt(5) + sqrt(5) + sqrt(5) + 3.
2*sqrt(5) + 6
Simplify 5*(sqrt(48) + -5).
-25 + 20*sqrt(3)
Simplify -1*(((sqrt(19) - 2*sqrt(19)) + -2)**2 + (sqrt(152)*-3)/sqrt(8)).
-23 - sqrt(19)
Simplify (sqrt(143) + sqrt(143) + sqrt(143) + sqrt(143)*1)/sqrt(11) + -1.
-1 + 4*sqrt(13)
Simplify sqrt(180) - (-3 + sqrt(720) - sqrt(720)).
3 + 6*sqrt(5)
Simplify (sqrt(125) + (sqrt(125) - 1*sqrt(125)*-6) + sqrt(125))**2 - ((sqrt(125) + 1)**2 + 1).
-10*sqrt(5) + 9998
Simplify (-4 + (sqrt(2) + (sqrt(32)/sqrt(2))/sqrt(8) - (sqrt(2) - -2*(0 + sqrt(2)))))**2.
8*sqrt(2) + 18
Simplify ((-2*sqrt(1296))/(-4*(sqrt(3) + sqrt(48))))**2.
108/25
Simplify sqrt(84)/(sqrt(300) - sqrt(12))*-2*4.
-2*sqrt(7)
Simplify (-6*-6*(sqrt(112) + (sqrt(112) - (-1 + sqrt(112)))))**2.
10368*sqrt(7) + 146448
Simplify (sqrt(19)*1*4 + 3 + sqrt(76)/(sqrt(64)*-1 + sqrt(4)))**2.
22*sqrt(19) + 2380/9
Simplify (sqrt(35)/(sqrt(7) + sqrt(63)) - sqrt(5)) + -6*(-1 + sqrt(5) + sqrt(5)).
-51*sqrt(5)/4 + 6
Simplify (sqrt(225) + sqrt(225) + (2*sqrt(225) - sqrt(225)) - sqrt(225) - sqrt(225))/(sqrt(270)/sqrt(6)).
sqrt(5)
Simplify (1 + (sqrt(99) - (-2 + sqrt(99)*-1)) + sqrt(99))*-3.
-27*sqrt(11) - 9
Simplify (sqrt(112)/(sqrt(7) + sqrt(28)))/(sqrt(16)/sqrt(2)*-2).
-sqrt(2)/6
Simplify -4*((-4*sqrt(15))/sqrt(3) + sqrt(5)).
12*sqrt(5)
Simplify sqrt(80)*-5 + sqrt(60)/(-1*sqrt(12)).
-21*sqrt(5)
Simplify (-5*(0 + sqrt(704)))**2.
17600
Simplify ((1 + sqrt(176))*-2)**2.
32*sqrt(11) + 708
Simplify 5 + (sqrt(3888) - (-2*sqrt(3888) + sqrt(3888)))**2*4.
62213
Simplify 1 + (sqrt(36)/(-2*sqrt(768) + sqrt(768)))**2.
67/64
Simplify (sqrt(15) - (sqrt(90)*-1)/sqrt(6))/sqrt(3) + 0.
2*sqrt(5)
Simplify -3 + (sqrt(4) + 1*sqrt(16)/sqrt(4))/((sqrt(24)*-2)/sqrt(12)).
-3 - sqrt(2)
Simplify ((sqrt(312) + sqrt(312)*1*4)/sqrt(6))**2.
1300
Simplify sqrt(1088) - ((sqrt(1088) + 2)*-3)**2.
-9828 - 280*sqrt(17)
Simplify (-1*(sqrt(66) + sqrt(66)*-2 + sqrt(66)))/((1*sqrt(6) + sqrt(6))*-3).
0
Simplify -3 + sqrt(325) - -4*sqrt(26)/sqrt(2).
-3 + 9*sqrt(13)
Simplify sqrt(7) + sqrt(56)/(sqrt(8)*-1) - (sqrt(7)*-2 + 4).
-4 + 2*sqrt(7)
Simplify (sqrt(66)*1*5)/((sqrt(42)*2)/sqrt(7)).
5*sqrt(11)/2
Simplify (-1*sqrt(192))**2 + 4*sqrt(48) - (sqrt(12)/sqrt(4)*-2 + ((sqrt(24) + (sqrt(96)/sqrt(4) - sqrt(24) - sqrt(24)))/sqrt(8))**2).
18*sqrt(3) + 192
Simplify (2*sqrt(80)*-4 + -5)*2.
-64*sqrt(5) - 10
Simplify 3*(sqrt(19) + 0)*-4.
-12*sqrt(19)
Simplify -3 + (sqrt(91) - ((3*-2*sqrt(91) - sqrt(91)) + sqrt(91)))/sqrt(7).
-3 + 7*sqrt(13)
Simplify (sqrt(220)*-3)/sqrt(11).
-6*sqrt(5)
Simplify sqrt(13) + 2*sqrt(1300) + (sqrt(13) - 3*sqrt(26)/sqrt(2))**2.
52 + 21*sqrt(13)
Simplify ((sqrt(132) + -3*-2*sqrt(132) + sqrt(132))/(sqrt(1200)*-2))**2.
44/25
Simplify (sqrt(704) + (sqrt(704) - (sqrt(704) + 1)))**2*-1.
-705 + 16*sqrt(11)
Simplify (-1*sqrt(12) + -1)*-2.
2 + 4*sqrt(3)
Simplify (-4 + (1*sqrt(11))**2)*-2.
-14
Simplify -5 + -6*(sqrt(605) + 3)**2.
-3689 - 396*sqrt(5)
Simplify -4 + sqrt(1584)*2 + sqrt(1584) + sqrt(1584)*-1*1.
-4 + 24*sqrt(11)
Simplify -6*(sqrt(1008) + (-2*(1 + sqrt(1008)))**2).
-24216 - 648*sqrt(7)
Simplify (sqrt(475) + (3*sqrt(475) - sqrt(475) - sqrt(475)))**2 - (sqrt(2736) + -1).
-12*sqrt(19) + 1901
Simplify (sqrt(5) + 0)*-6 + -5.
-6*sqrt(5) - 5
Simplify 4 + ((sqrt(99) + -1 - sqrt(99)) + sqrt(99) + 5 + sqrt(99))**2.
48*sqrt(11) + 416
Simplify -5 + sqrt(13) + sqrt(208) + 3.
-2 + 5*sqrt(13)
Simplify ((-2*sqrt(72) + sqrt(72))*2*5)**2.
7200
Simplify -1 + (sqrt(612) - (sqrt(612) + (sqrt(612) - (sqrt(612) - (1 + sqrt(612) - sqrt(612))**2)))) + 4.
2
Simplify (5 + -1 + sqrt(1053) - (-2 + 1 + sqrt(1053) + sqrt(1053)))**2.
-90*sqrt(13) + 1078
Simplify (3*(sqrt(228)*-5)/sqrt(12))**2.
4275
Simplify (sqrt(204)*4)/sqrt(12) - (sqrt(17) + (sqrt(17) - (1 + sqrt(17))*2)**2).
-21 - sqrt(17)
Simplify (5 + sqrt(19) + sqrt(76)/sqrt(4))*1 + -1.
4 + 2*sqrt(19)
Simplify (2*sqrt(20)/sqrt(250))**2.
8/25
Simplify (-4*(sqrt(704) - (sqrt(704) - (sqrt(704) + -1))))**2*-2.
-22560 + 512*sqrt(11)
Simplify (0 + sqrt(45))**2 + 3.
48
Simplify -6*(3 + (5*(-2 + sqrt(19)))**2).
-3468 + 600*sqrt(19)
Simplify 3*(6*(sqrt(704) + 0)**2 + 0).
12672
Simplify sqrt(114)/(sqrt(6) - ((sqrt(6) - -1*sqrt(6))*2 - sqrt(6))) - ((sqrt(2299)*1 + sqrt(2299))*2)**2.
-36784 - sqrt(19)/2
Simplify ((sqrt(110) + (sqrt(110) + -2*(sqrt(110) - sqrt(110)*2) - sqrt(110)))/sqrt(10))**2.
99
Simplify ((sqrt(250) - sqrt(10))*-3)/((-2*sqrt(720) - sqrt(720)) + sqrt(720)).
sqrt(2)/2
Simplify (-4*(sqrt(75) + 1 + -1 - sqrt(75)))**2.
0
Simplify (sqrt(12)/sqrt(36)*6)**2*3.
36
Simplify (sqrt(38) - (sqrt(1368) - sqrt(38))*2)/((sqrt(4) - sqrt(36))/sqrt(2)).
9*sqrt(19)/2
Simplify (sqrt(171)/((sqrt(9) + sqrt(27)/sqrt(3) + sqrt(9))*3))**2.
19/81
Simplify ((1 + sqrt(7))*-5)**2 + -4.
50*sqrt(7) + 196
Simplify 2 + 2*(sqrt(5)*-2)**2.
42
Simplify -4 + (sqrt(91) + 2*sqrt(91)*-1)/sqrt(7).
-4 - sqrt(13)
Simplify (-6*(sqrt(5) - (sqrt(30)*-3)/sqrt(6)))**2.
2880
Simplify sqrt(104)/(sqrt(2) - (sqrt(450) + sqrt(18))/sqrt(9)) + -2.
-2 - 2*sqrt(13)/5
Simplify ((sqrt(240)*1)/(sqrt(132)/(sqrt(55)/sqrt(5))))**2.
20
Simplify (sqrt(19)*-3*-3 + 1*(-4*sqrt(19) - sqrt(19)))**2.
304
Simplify sqrt(2673)/sqrt(3) - (sqrt(11)*6 + 3).
-3 + 3*sqrt(11)
Simplify (sqrt(11) + sqrt(99) + 0)*-5.
-20*sqrt(11)
Simplify 1*sqrt(99)/(sqrt(576)*-2).
-sqrt(11)/16
Simplify (3*sqrt(52))**2 + -5.
463
Simplify 0 + (-4 + sqrt(2448) + (sqrt(2448) - -1*sqrt(2448)))**2.
-288*sqrt(17) + 22048
Simplify -4*(sqrt(2) + ((sqrt(32))**2 - sqrt(2))*-5).
-24*sqrt(2) + 640
Simplify (5 + (sqrt(112)*-2 - sqrt(112)) + -1)**2.
-96*sqrt(7) + 1024
Simplify ((2*sqrt(3328) - sqrt(3328))/sqrt(4) - (4 + -6*sqrt(13)*1))**2.
-112*sqrt(13) + 2564
Simplify (-1*(sqrt(120)/(sqrt(12)/sqrt(2)) - sqrt(20))*6)**2.
0
Simplify 1 + sqrt(1584) - (3 + (sqrt(11)*2 - sqrt(11)))**2.
-19 + 6*sqrt(11)
Simplify (sqrt(112) + -1)**2 + (sqrt(7) - (sqrt(343) + 5)**2).
-255 - 77*sqrt(7)
Simplify (1*sqrt(19))**2 + 2 + (sqrt(19) - (1 + sqrt(38)/sqrt(2) + sqrt(19))).
-sqrt(19) + 20
Simplify (3*(1 + sqrt(11)) + -1 - (-2*-1*sqrt(132))/sqrt(12))**2.
4*sqrt(11) + 15
Simplify ((sqrt(224)/(sqrt(28) - sqrt(7)) - sqrt(32))*-4*2)**2.
0
Simplify (-1*(sqrt(300) + 1))**2 + (4*(1 + sqrt(27)))**2.
116*sqrt(3) + 749
Simplify (sqrt(275) - -6*1*sqrt(275))**2 - sqrt(275) - ((sqrt(275)*-1)**2 + sqrt(275) + -2).
-10*sqrt(11) + 13202
Simplify (-1*sqrt(152)*5)/(sqrt(96)/sqrt(48)).
-10*sqrt(19)
Simplify ((1*sqrt(76)*-1)/(sqrt(16)/(sqrt(4)*-2)))**2.
76
Simplify -5 + 5 + (sqrt(176)*2 - sqrt(11))**2.
539
Simplify (-1*3*sqrt(132)/(sqrt(36)/sqrt(3) - sqrt(12) - sqrt(12)))**2.
99
Simplify (((sqrt(84)*2)/sqrt(12) + sqrt(77)/sqrt(176))*6)**2*4.
5103
Simplify 5*(sqrt(5) + (sqrt(80) - (-1 + sqrt(80)))**2)*3.
15 + 15*sqrt(5)
Simplify (-5*(sqrt(130) + 2*sqrt(130)))/sqrt(10).
-15*sqrt(13)
Simplify sqrt(77)/((sqrt(560)/sqrt(10))/sqrt(8)).
sqrt(11)
Simplify (-2*(sqrt(70) + (sqrt(70) - sqrt(70)*-2)))/sqrt(10)*4.
-32*sqrt(7)
Simplify -3*(-1 + sqrt(44) + sqrt(44)).
-12*sqrt(11) + 3
Simplify (sqrt(33)/((sqrt(3) + sqrt(12) + sqrt(3))*-5))**2.
11/400
Simplify (sqrt(272)*2)**2 + -4 + 2 + 4.
1090
Simplify 5 + sqrt(405) + sqrt(405) + -1.
4 + 18*sqrt(5)
Simplify -3*((sqrt(612) + -1 + sqrt(17) + sqrt(17) + sqrt(17))*-3)**2*-2.
-972*sqrt(17) + 74412
Simplify (0 + sqrt(2)*2)**2 - (1 + sqrt(98) - sqrt(98)).
7
Simplify sqrt(396) + sqrt(396) + ((sqrt(396) - -3*(sqrt(396) - 4*sqrt(396))) + sqrt(396) + sqrt(396))**2.
12*sqrt(11) + 14256
Simplify (sqrt(117)*4)**2 + sqrt(13) - (3 + sqrt(13) + -1)**2.
-3*sqrt(13) + 1855
Simplify (3*(sqrt(136) + 2*sqrt(136) + sqrt(136)) - sqrt(136))/sqrt(8).
11*sqrt(17)
Simplify ((sqrt(76)/(sqrt(12)/sqrt(3)) - sqrt(19)) + sqrt(475) + 5)**2.
50*sqrt(19) + 500
Simplify (sqrt(168)/(sqrt(14)/sqrt(2)))/(2*sqrt(48) + sqrt(48)).
sqrt(2)/6
Simplify ((sqrt(19) - (0 + sqrt(19))**2) + 4 - (sqrt(171) + -1)) + (sqrt(2299)*-1 - sqrt(95)/(sqrt(20)/sqrt(4)))**2.
-2*sqrt(19) + 2722
Simplify sqrt(11) + -2 + sqrt(539) + 3.
1 + 8*sqrt(11)
Simplify -3 + | {
"pile_set_name": "DM Mathematics"
} |
**5 + 4*m**5 + (0 - 2*m**3 + 0)*(-m**2 + 71*m**2 - 119*m**2).
99*m**5
Expand -61*y - 19*y**4 + 61*y + (4*y**3 - y**3 - y**3)*(3 - 2*y - 3) - y**4 - 2*y**4 + 2*y**4.
-24*y**4
Expand (-13 + 15 + 11)*(0 + 1 + 2)*(-3*f**2 - 2*f**2 + f**2).
-156*f**2
Expand (-213 - 172 + 436)*(-k + 0*k - k)*(0 - 4 + 3).
102*k
Expand -11 + 11 + 14*q + (0 + 2 - 1)*(q - q - q).
13*q
Expand (5*o + 161*o**4 - 5*o)*(0 + 1 - 3).
-322*o**4
Expand (-3 + 96*g**3 - 2*g**2 - 184*g**3 + 93*g**3)*(-6*g**2 - 5*g**2 + 2*g**2).
-45*g**5 + 18*g**4 + 27*g**2
Expand -7*l + 2*l**2 + 6*l - l**3 + 0*l**2 + (0*l - l + 4*l)*(0*l**2 + 0*l**2 + 2*l**2).
5*l**3 + 2*l**2 - l
Expand (-k**2 + 2*k**2 + k**2)*(16 - 24*k - 16) - k**3 - k + k - k**3 + 0*k**3 - 9*k**3 + (0*k**2 + 0*k**2 - 2*k**2)*(k - k + k).
-61*k**3
Expand (2 - 2 - 18*r)*(-5 + 1 + 3).
18*r
Expand (4 - 4*d**2 - d - 3 + 1)*(-6 + 3 + 2)*(0 + 4 + 4).
32*d**2 + 8*d - 16
Expand 4 - 3*g**4 - 4 + 5*g**4 - g**4 + g**4 + (-3*g + 2*g**2 + 3*g)*(g**2 - 2*g + 2*g) + 2*g + 3*g**4 - 3*g**4 - 2*g**4 - 8*g**4 - 27 + 27.
-6*g**4 + 2*g
Expand 136 - 136 + 6*h + 56*h - 16 + 16 + (1 - 2*h - 1)*(4 + 1 - 6).
64*h
Expand (-182*t - 166*t + 273*t + 5)*(2 + 0 + 1).
-225*t + 15
Expand (4*m - 5*m + 3*m)*(2*m - 3*m - m) + 58*m**2 - 41*m**2 + 146*m**2 + 5*m**2 - 2*m**2 - m**2.
161*m**2
Expand (0*m - m - 2*m - 2)*(-12 + 17 + 18*m - 19*m).
3*m**2 - 13*m - 10
Expand (-1 + 1 + 2)*(-6 - 4 - 3)*((0 + 1 - 2)*(3*p - 4*p + 0*p) + p - 5 + 5).
-52*p
Expand -6*m**2 - m**4 + 6*m**2 + 5*m**4 - m**4 - m**4 + 3*m**3 - 3*m**3 + m**4 + (-3*m**3 + 5*m**3 - 4*m**3)*(3 - 3 + m).
m**4
Expand (0*i**3 + 2*i**3 + 0*i**3)*(-i**2 - i + i) + (-i**2 + i**3 + i**2)*(-37*i**2 + 1012*i**2 - 594*i**2).
379*i**5
Expand (-4 - 1 + 3)*(4 - 3*q**4 - 4) + (-7*q + 2*q + 0*q)*(-4*q**3 + 2*q**3 + 0*q**3).
16*q**4
Expand (0*k**2 - 4*k**2 + 3*k**2 + (0*k + 4*k - 2*k)*(2*k - 2*k - 2*k) + (-3*k + 3*k + 2*k)*(-22 - 7*k + 22) + 3*k**2 + 3 - 3)*(0 + 0 + k**3).
-16*k**5
Expand (206 + 99 - 115)*(-r + 6*r - 4*r).
190*r
Expand 34*o - 42*o + 4 + 19*o + 0*o - o - o + (o - 3*o + 3*o)*(-1 + 2 - 2).
8*o + 4
Expand (-6 + 3 + 0)*(2*g**2 + g**4 - 2*g**2) + 2*g**4 + g**4 - 2*g**4 - 8*g**2 + 256*g - 256*g + g**4.
-g**4 - 8*g**2
Expand (-7*h + 19*h + 11*h)*(0 + 0 + 3)*(3*h - 2*h - 2*h)*(1 + 0 + 1).
-138*h**2
Expand (-20 - 58 - 13)*(-3 + 1 + 1)*(-2*u + 0*u + 0*u)*(-1 + 6 + 2).
-1274*u
Expand (-y + 2*y + y)*(0*y**3 + 2*y**3 - 4*y**3) + (15*y + y - 2*y)*(2*y**3 - 2*y**3 + 2*y**3) - 16*y**4 + 18*y**2 - 18*y**2 + (2 - 2 - 2*y**3)*(y + 5*y - 4*y).
4*y**4
Expand 83*t**2 - 83*t**2 - 23*t**3 - 3*t**3 + 2*t**3 + 6*t**3 + (t**2 - 2 + 2)*(-t + 2 - 2).
-19*t**3
Expand (2*t + 1 - 1)*(-1 - 2*t + 1)*(-17*t**2 - 4*t**2 + 8*t**2).
52*t**4
Expand (3*w**4 - 2*w**4 + 3*w**4)*(-2 - 5 + 5) - 9*w**3 + 9*w**3 + 13*w**4.
5*w**4
Expand (-10*k - k + 2*k)*(3*k**3 - 2*k**3 + 2*k**3) + k**4 - 3*k**4 + k**4.
-28*k**4
Expand (p - 5*p + 2*p)*(3*p**2 - 8*p**2 - 5*p**2).
20*p**3
Expand (1 - 1 + q)*(0 - 2 + 4) + 165*q + 185*q - 343*q + 54.
9*q + 54
Expand (2*t + 2*t - 3*t)*(30 + 62*t - 30) + (2*t + 0*t - t)*(-t + 3*t + t) + 2*t**2 + 0*t**2 - 4*t**2 - t**2 + 5*t**2 - t**2.
66*t**2
Expand -f**3 + f**3 + f**4 + (2*f**2 - 4*f**2 - f**2)*(132 - 4*f**2 - 132).
13*f**4
Expand (-3 + 1 - 1)*(-23253*b + 23253*b + 208*b**4).
-624*b**4
Expand (3 + 1 - 7)*(3 + 1 - 1)*(0*j**2 - j**2 + 2*j**2 + (9*j**2 - 2*j**2 + j**2)*(4 - 5 + 2)).
-81*j**2
Expand -4*g**2 - g**2 + 4*g**2 + (-1 + 1 - 2*g)*(5*g + 18*g - 32*g).
17*g**2
Expand (x - x + 2*x)*(-2*x + 0*x + 0*x) + (3*x + 8*x - 3*x)*(-4 + 4 + x) + 3 - 3 - 5*x**2 - 2.
-x**2 - 2
Expand (-4*j - 3*j - 2*j + (-1 + 1 + 1)*(2*j + 0 + 0) + 2*j - 1 + 1)*(0 - 2 + 6).
-20*j
Expand 4*y**2 + 0*y**2 - 3*y**2 + (4 + 4 - 4)*(3*y**2 - 4*y**2 + 2*y**2) + (3*y + 0*y + y)*(0*y + 0*y - 2*y) - y**2 + 5*y**2 - 2*y**2.
-y**2
Expand (1 + 2*k - 1)*(0*k + 3*k**2 + 0*k)*(14*k - 2*k + 14*k).
156*k**4
Expand (-2 - 1 + 1)*(-71*m - 110*m + 124*m)*(5*m**2 - 3*m**3 - 5*m**2).
-342*m**4
Expand (2 + 1 + 2)*(i - i - i)*(2 + 0 - 3) - 2*i + 2*i - i.
4*i
Expand (8*c + 2*c + 7*c)*(2*c**3 - 9*c**3 - 3*c**3).
-170*c**4
Expand (-3*f**2 - 1 + 1 - f)*(-60*f**3 - 13*f**3 - 38*f**3).
333*f**5 + 111*f**4
Expand 4*j + 0*j - 2*j - 4 - 58*j + 3 + 16*j + (2 - 4 + 1)*(0*j - 3*j + 5*j) + j - 3*j + j.
-43*j - 1
Expand (-3*u**2 + 10*u**2 + 6*u**2)*(2*u + 0*u - 3*u) - 14*u**3 - 3*u**3 - 2*u**3.
-32*u**3
Expand -281*p**5 + 230*p**5 - 253*p**5 - p**3 + p**3 + 2*p**5 + 0*p**5 + 5*p**5 - 4*p**5 + (-p**2 - 4*p + 4*p)*(2*p**3 + p**3 - p**3).
-303*p**5
Expand (-5*q + 5*q + 5*q + (-1 + 5 - 2)*(0*q + 3*q - 4*q) + 3*q + 0 + 0)*(7 + 0 - 1).
36*q
Expand (163*p**2 - 500*p**2 + 168*p**2)*(-2 + 2 - 3*p).
507*p**3
Expand (-70*l + 241 - 244 - 70*l)*(5 - 2 - 4).
140*l + 3
Expand -8*y**2 + y**2 - 4*y + 0*y + (-y + 0*y + 0*y)*(-3*y + 4*y - 2*y).
-6*y**2 - 4*y
Expand (-m**2 + 6*m**2 - 3*m**2)*(13 - 13 - m) + 3*m**3 + m**3 - 17*m**3 + (-m**2 + 3 - 3)*(-2 + 2 + m) + 2*m**3 - 4*m**3 + m**3.
-17*m**3
Expand (-84*h + 87*h - 4 + 11)*(-2*h**4 - 4*h**4 + 2*h**4).
-12*h**5 - 28*h**4
Expand (2*d + 3*d - 4*d)*(0*d + 2*d - 4*d) - d**2 + 3*d**2 - d**2 + 40*d**2 - 11*d**2 + 3*d - 4*d.
28*d**2 - d
Expand 2*f**4 - 3*f**4 + 4*f**4 + (3 - 5 + 1)*(3*f**3 - 2*f**4 - 3*f**3 + 4*f**4 - 5 + 5 + (0*f**3 + 3*f**3 - 2*f**3)*(0*f + 3*f - 4*f)).
2*f**4
Expand (-4 + 3 - 1)*(2*b + b + b)*(42*b**4 - 44*b**4 - 73*b**4).
600*b**5
Expand (-45 + 69 - 50 - z)*(-2*z - 3 + 2 + 3).
2*z**2 + 50*z - 52
Expand (272*n - 539*n - 22 + 269*n)*(n - 3*n + n).
-2*n**2 + 22*n
Expand (-6*i**5 + 4*i**5 + i**5 + 32*i**5 + 43*i**5 - 62*i**5 + (-3*i + 3*i + 2*i**5)*(3 - 2 + 0) + 3*i**5 - 3*i**5 - i**5)*(-2 - 1 - 1).
-52*i**5
Expand (-2 - 2 + 1 + (1 - 4 + 1)*(-1 - 1 + 4))*(5 - 5 - 1)*(-5 + 4 + 2)*(2*g**5 - 12*g**5 + 70*g**5).
420*g**5
Expand (-6 + 1 + 2 - b)*((2*b - 3*b + 3*b)*(3*b**2 + b**2 - 6*b**2) - 2*b**3 - 4*b**2 + 4*b**2).
6*b**4 + 18*b**3
Expand (17*j + 3120 - 3120)*(-2*j + 2*j + 2*j).
34*j**2
Expand 10*m**2 - 3*m + 3*m + m**2 - 3*m + 3*m + (3*m**2 - 3*m**2 + 2*m**2)*(-2 + 1 + 0) - 4*m**2 - m**2 + 3*m**2 + 2*m**2 + 4*m - 4*m.
9*m**2
Expand (5 + 2*x - 1 - 3)*(-5*x**2 - x**2 + 7*x**2 + (x + x - 4*x)*(-5*x + 3*x + 0*x)).
10*x**3 + 5*x**2
Expand (-c**2 + c + 4*c**2 - 2*c**2)*(-3*c**2 + c**2 + 3*c**2)*(-18*c - 15*c + c).
-32*c**5 - 32*c**4
Expand (4*x + 0*x - 5*x)*(-2*x + x + 2*x) - 288*x - 4*x**2 + 288*x + 1.
-5*x**2 + 1
Expand ((-3 + 3 + 2*o**3)*(-1 + 6 - 4) - o**3 - 6*o**2 + 6*o**2)*(-5*o + 3*o + 0*o - o + 0*o + 0*o + (-2*o + 2 - 2)*(4 - 2 + 0) - 2*o - 8*o + 3*o).
-14*o**4
Expand 0*k**4 - 2*k + 5*k**4 - 2*k**5 - 2*k**5 + (-4 + 0 + 2)*(k**5 + k**5 + 0*k**5) + 3*k**5 - 3 + 3.
-5*k**5 + 5*k**4 - 2*k
Expand -4*f**5 + 2*f**2 - 2*f**2 + (2*f**4 + 2*f**4 - 5*f**4)*(-30*f + 16*f - 39*f) - 2*f**5 + 0*f**5 + 0*f**5.
47*f**5
Expand (1 - 1 + 4)*(2*j**2 - j**2 + 0*j**2) - j**2 - 17*j - 52 + 11*j + 8*j.
3*j**2 + 2*j - 52
Expand (2*s + 4*s - 2*s)*(3*s + 0*s - s) + (-3 - 1 + 3)*(s**2 + 3*s - 3*s) + s**2 - 3*s**2 + s**2 + 48 - 5*s**2 - 48.
s**2
Expand -11 + 15*x**3 + 0*x**3 - 24*x**3 - 2*x**2 + x**3 + 2*x**2 + (2*x**2 - 2*x**2 + 2*x**2)*(-2*x + x + 2*x) + 4*x**3 - 2*x**3 - x**3.
-5*x**3 - 11
Expand 2*l + 3 - 3 + (-4 + 4 - 2)*(-3*l + 0*l + 2*l) - 2*l + l + 3*l + (-1 - 2 + 2)*(83*l + 156*l - 71*l).
-162*l
Expand q + 106 + 111 - 144 + (-q + q - q)*(0 + 3 - 1).
-q + 73
Expand (3*g + g**3 - 3*g)*(3 + 2*g**2 - 3) - 4*g**5 - 6*g**5 - 2*g**5 + (-4*g + 3*g - g)*(-9*g**4 - 58 + 58).
8*g**5
Expand (-2*q + 2*q + 2*q)*(3*q**2 - q**2 - 4*q**2) - 88*q**3 - 37*q**3 - 67*q**3 - 5*q**3 + 4*q**3 - 2*q**3.
-199*q**3
Expand p + 2 - 2 + (-4*p - p + 3*p)*(98 + 1193 - 181).
-2219*p
Expand (-4*a**2 + 2*a**2 - a**2 + (-6*a**2 + 3*a**2 + 4*a**2)*(0 - 1 + 3))*(a + a - 4*a).
2*a**3
Expand ((-3*o + 4*o + o)*(-3*o + 0*o + o) - 45*o**2 + 18*o**2 + 9*o**2)*(2*o - 2*o + 2*o + (6 - 3 - 1)*(5*o - 2*o - o) - o - 6*o - 31*o).
704*o**3
Expand (s**3 + s**2 - s**2)*(-37*s - 37*s - 55*s)*(3*s + 4*s - 2*s).
-645*s**5
Expand (2*o**3 - o**3 - 2*o**3)*(o - 4*o + 4*o) - 2*o**4 + 53*o**2 + 8 + 53*o**2 - 108*o**2.
-3*o**4 - 2*o**2 + 8
Expand -2*a**2 + 2*a**2 - 3*a**2 + (-a - 1 + 1)*(-25*a - 72 + 72).
22*a**2
Expand (0*v - 5*v + 3*v)*((0*v + 7*v - 3*v)*(4*v**2 - 2*v**2 - 4*v**2)*(-3 - 2 + 3) + 29*v**3 - 44*v**3 - 46*v**3 | {
"pile_set_name": "DM Mathematics"
} |
+ 10. Let p(y) = y + 5. Let r be (-2 + 1)/((-8)/(-56)). Let w(k) = r*p(k) + 3*a(k). Give -3*h(n) + 2*w(n).
-2*n + 2
Let z(x) = -8*x**2 + 6*x + 6. Let y(r) be the second derivative of 7*r**4/12 - 5*r**3/6 - 5*r**2/2 + 30*r. Calculate 6*y(d) + 5*z(d).
2*d**2
Let o(x) = -2. Let m(z) be the third derivative of z**5/60 + 5*z**3/6 - 3*z**2 + 2*z. What is -2*m(t) - 5*o(t)?
-2*t**2
Let t(a) = 14*a**2 + 5*a + 5. Let v(x) = 27*x**2 + 9*x + 9. Determine -9*t(r) + 5*v(r).
9*r**2
Let x(t) = 3*t**3 - t**2 + 2. Let r(f) = 16*f**3 - 5*f**2 + 11. What is -2*r(i) + 11*x(i)?
i**3 - i**2
Let h(p) = -3*p**2 + p - 3. Let x(l) = -13*l**2 + 3*l - 13. Determine 9*h(z) - 2*x(z).
-z**2 + 3*z - 1
Let h(a) = 5*a**3 - 5*a**2 - 5. Let l(t) = -5*t**3 + 6*t**2 + 6. Give 6*h(g) + 5*l(g).
5*g**3
Let g(m) = -9*m - 4. Let v(q) = -10*q - 5. Give 7*g(h) - 6*v(h).
-3*h + 2
Let i be 6*(-2)/12*-3. Let o(d) = -5*d + 11*d**2 - 3 + 1 - 6 - i. Let j(g) = -6*g**2 + 5 + 3*g + 6 - 5. Determine -7*j(f) - 4*o(f).
-2*f**2 - f + 2
Let z = 16 + -9. Let a(x) = -z*x**3 - 2*x**3 - 5 + 2*x**3. Let w(t) = -10*t**3 + 3*t - 7. Let d(v) = -v. Let g(o) = 3*d(o) + w(o). Calculate 7*a(n) - 5*g(n).
n**3
Let x(g) be the third derivative of -g**4/8 + 5*g**3/2 - 24*g**2. Let k(j) = -2*j + 8. Give 9*k(o) - 5*x(o).
-3*o - 3
Let c(k) = -5*k. Suppose 2*a - 3 = 11. Let n(m) = 20*m + 8. Let f(x) = 13*x + 5. Let l(h) = 8*f(h) - 5*n(h). Give a*l(p) + 6*c(p).
-2*p
Let a(t) = -5*t + 5. Let o = -17 - -14. Let f(d) be the second derivative of d**3/3 - d**2 - d. What is o*a(r) - 7*f(r)?
r - 1
Let g(n) be the first derivative of 2*n**3/3 + 5*n**2/2 + n - 1. Let j = 11 - 8. Let b(h) = -5*h + h**2 - j*h**2 - 1 + 0*h + h. What is 3*b(c) + 2*g(c)?
-2*c**2 - 2*c - 1
Let h(c) = c**2 + c - 1. Let n be h(-3). Suppose -4*u + 5 = x, -x - n = -u - 5*x. Let g(o) = -4*o**2 - 4*o - 1. Let y(a) = -a**2 - a. Give u*g(w) - 6*y(w).
2*w**2 + 2*w - 1
Let n(f) = f**3 - 2*f**2 + 2*f + 2. Let w(l) = -l**3 - 4*l**2 + 6*l + 7. Let v be w(-5). Let z(j) = 2*j**3 - 3*j**2 + 2*j + 2. Calculate v*z(u) - 3*n(u).
u**3 - 2*u - 2
Let f(g) = 2*g**2 + 5*g + 5. Let h(x) = 14*x**2 - 12*x - 4. Let r(y) = 2*y**2 - y. Let l(j) = -h(j) + 8*r(j). Give -4*f(b) + 5*l(b).
2*b**2
Suppose c = -2*c + 30. Let u(d) = -7*d**2 - 2*d + 5. Let s(j) = 0*j**2 - 3*j**2 - j**2 - j + 3. Let y(r) = -3*r + 6. Let h be y(4). Calculate c*s(a) + h*u(a).
2*a**2 + 2*a
Let z(x) = -37*x**2 + 5*x - 6. Let c(f) = 38*f**2 - 4*f + 5. Calculate 6*c(j) + 5*z(j).
43*j**2 + j
Let m(q) = -7*q - 2. Let o = -6 - -26. Suppose -o + 0 = 4*p. Let k(b) = -4*b - 1. Calculate p*k(z) + 3*m(z).
-z - 1
Suppose 5*u = w + 22, w = -2*w + 5*u - 16. Let j(i) = 3*i**3 - i**2 - 2*i. Let q(x) = 4*x**3 - 2*x**2 - 3*x + 1. Calculate w*j(a) - 2*q(a).
a**3 + a**2 - 2
Let r(x) = x**2 + x - 2. Let y(w) = -w**2 - w + 1. Suppose -10*l + 44 = -6. Give l*y(c) + 3*r(c).
-2*c**2 - 2*c - 1
Suppose 4*a + 14 = 58. Let y(h) = -4 - 11 + 11 + 2*h**2. Let v(s) = 10 - 9*s**2 + 3*s**2 + 1. Calculate a*y(t) + 4*v(t).
-2*t**2
Let p(m) = -m. Suppose -2*q - 3*s - 54 = -3*q, 5*s = -q + 86. Let l be q/24 - 6/8. Let k(x) = -x**2 + 2*x. What is l*p(f) + k(f)?
-f**2
Let w(q) = -3*q**3 - 2*q**2. Let h(v) = -6*v**3 - 5*v**2 - v. Give -2*h(l) + 5*w(l).
-3*l**3 + 2*l
Let h(l) = 8*l**2 - 6*l + 13. Let w(g) = 7*g**2 - 5*g + 12. Determine 6*h(n) - 7*w(n).
-n**2 - n - 6
Let k(f) = -2*f**2 - 7*f + 3. Let s(a) = -a**2 - 3*a + 2. Calculate -2*k(j) + 5*s(j).
-j**2 - j + 4
Let f(j) = -9*j**3 - 11*j**2 - 7*j + 13. Let m(n) be the third derivative of n**6/30 + n**5/12 + n**4/8 - n**3 - 7*n**2. Give 3*f(z) + 7*m(z).
z**3 + 2*z**2 - 3
Let h(z) be the first derivative of -2*z**2 + 5*z + 3. Let d be (12/(-10))/(8/(-20)). Let w(l) = -3*l + 4. Calculate d*w(q) - 2*h(q).
-q + 2
Let p(d) = -6*d**2 + d + 3. Let b(q) = -5*q**2 + q + 3. Determine -7*b(v) + 6*p(v).
-v**2 - v - 3
Let o(g) = 17*g**3 - 6. Let x(v) = -v**3 - 1. Give o(w) - 6*x(w).
23*w**3
Let b(v) = v**2 - v - 1. Let g(x) = 4*x**2 + 6*x + 3. Determine 5*b(q) + g(q).
9*q**2 + q - 2
Let v(c) be the third derivative of c**4/12 - 2*c**2. Let w(d) be the second derivative of -d**3/6 + 15*d. Let g = 0 - 3. What is g*w(h) - v(h)?
h
Let g = 0 - -2. Let r(l) = 2 + 3 - 4*l - 6*l**2 + 2*l**2 + l**g. Let z(o) be the third derivative of o**5/60 + o**4/24 - o**3/6 - o**2. Give -r(x) - 5*z(x).
-2*x**2 - x
Let v(n) = 8*n - 11. Let i(x) = -7*x + 10. Determine 6*i(b) + 5*v(b).
-2*b + 5
Suppose 2*k - 4*k + 3*y = -5, 2*k + 2*y = 20. Let j(w) = -8*w**2. Suppose -i - r + 1 = 0, -3*i - 2*r + 14 = i. Let c(q) = 7*q**2. Give i*j(s) + k*c(s).
s**2
Let x(n) = -131*n. Let m(i) = 33*i. Determine -26*m(z) - 6*x(z).
-72*z
Let b(v) = -v + 1. Let o = -3 - -6. Let x be 4 + (-3 - o/(-3)). Suppose u - 3 = x*u. Let y(q) = -q + 1. What is u*b(g) + 4*y(g)?
-g + 1
Let q(w) = 5*w**2 + 4*w + 4. Let y(x) = -x**2 - 1. What is q(g) + 6*y(g)?
-g**2 + 4*g - 2
Let q(r) = r. Let w(o) = -2*o. Calculate 8*q(f) + 5*w(f).
-2*f
Suppose -2*n + t + 27 = 0, -2 = -3*t - 17. Let v(f) = -10*f + 4*f + 3 + 5*f - 7. Let o(l) = -6*l - 21. Determine n*v(p) - 2*o(p).
p - 2
Let g(m) = -m - 1. Let x(k) = -k + 4. Determine 6*g(p) - x(p).
-5*p - 10
Let v(i) = -i. Let d(p) = -5*p - 1. Suppose 3*y = 7 + 2. Give y*v(j) - d(j).
2*j + 1
Let s(n) be the second derivative of -3*n**5/20 - n**4/6 - n**3/2 + n. Let w(f) = -16*f**3 - 11*f**2 - 16*f. Calculate 11*s(j) - 2*w(j).
-j**3 - j
Let f(g) = -3*g**2 - g + 4. Let w(k) = -66 + 73 + 0*k**2 - k - 6*k**2. Calculate -7*f(x) + 4*w(x).
-3*x**2 + 3*x
Let x(m) = m**2 - m - 1. Let n(v) = -9*v**2 - 5*v - 5. Determine n(d) - 5*x(d).
-14*d**2
Let s(k) = -k**2 + 5*k**2 - 9*k**2 - 5 + 5*k. Let x(g) = -2*g**2 - g - 2. Let c(h) = 3*h**2 + 2*h + 3. Let v(o) = -3*c(o) - 5*x(o). Calculate s(j) + 3*v(j).
-2*j**2 + 2*j - 2
Let f = 11 + 11. Let i(o) = -o**3 + 11*o**2 + 11*o + 11. Let x(l) = l**2 + l + 1. What is f*x(h) - 2*i(h)?
2*h**3
Let k(q) = -3*q**2. Let x(j) = -j**2. Suppose 7*l - 6*l + 4 = 3*p, 2*l = -2*p - 8. Determine l*k(w) + 11*x(w).
w**2
Let a(n) be the second derivative of -n**4/2 + n**3/6 + n**2/2 - 52*n. Let j(f) = -5*f**2 + 2*f**2 + 2*f**2. Determine 2*a(t) - 11*j(t).
-t**2 + 2*t + 2
Let u(y) = -4*y**3 - 3*y**2 + 3*y + 2. Let x(p) = -4*p**3 - 4*p**2 + 4*p + 2. Give -4*u(t) + 3*x(t).
4*t**3 - 2
Let i(d) = d**2 - 1. Let g(u) = -4*u**3 + 4*u**2 - 4. Let m(w) = w - 9. Let v be m(5). Determine v*i(b) + g(b).
-4*b**3
Let a(j) = -2*j**3 + 3*j**2 + j + 2. Suppose 0*z - 3*z = 9. Let s(h) be the third derivative of -h**6/120 + h**5/60 + h**4/24 - 24*h**2. What is z*s(l) + a(l)?
l**3 - 2*l + 2
Let y(l) = -9*l + 17. Let i = 9 + -13. Let c be -2*15 - i/1. Let f(s) = 2*s - 4. Determine c*f(r) - 6*y(r).
2*r + 2
Let l(n) = -n**3 + n + 3. Let d(b) be the third derivative of b**6/60 - b**4/12 - 5*b**3/6 - b**2. Determine -6*d(u) - 10*l(u).
-2*u**3 + 2*u
Let s(u) be the first derivative of 8*u**3/3 + u**2/2 - 4*u - 14. Let g(q) = 23*q**2 + 3*q - 11. Calculate 6*g(k) - 17*s(k).
2*k**2 + k + 2
Let z(r) = r**2 - r. Let h(d) = -d**3 - 2*d**2 - 4*d - 4. Let f(p) = -p**3 - 3*p**2 - 5*p - 5. Let w(b) = 3*f(b) - 4*h(b). Determine -w(l) - z(l).
-l**3 - 1
Let r(o) = -o**2 - 1. Suppose 17*n = 15*n + 2. Let x(j) = -2*j**2 - 7. Give n*x(u) - 5*r(u).
3*u**2 - 2
Let g(s) = -s**2 + s - 3. Let j be (-32)/12 - ((-20)/(-15) + -2). Let b(x) = 2*x**2 - 3*x + 7. What is j*b(p) - 5*g(p)?
p**2 + p + 1
Let z(i) = -3*i + 5. Let u(j) = -2*j + 4. Suppose 0 = -16*a + 17*a + 3. Give a*z(o) + 4*u(o).
o + 1
Let d(f) = f**2 - f. Let k(r) be the first derivative of -2*r**3/3 + 3*r**2/2 - 3. What is 3*d(n) + k(n)?
n**2
Let s(j) = -1. Let y = 19 + -21. Let q(h) = h + 1. Calculate y*q(f) - 2*s(f).
-2*f
Let j(n) = 4*n**2 + 1. Let s(w) = w**2 + w + 1. Let r(y) = -j(y) + 6*s(y). Let c(f) = 4*f**2 + 11*f + 9. Give -6*c(d) + 11*r(d).
-2*d**2 + 1
Let v(i) = -7*i**3 - 2*i**2 - 6*i + 5. Let w(m) = -3*m**3 + m - 1 - 5*m**3 + 9*m**3. Give v(s) + 5*w(s).
-2*s**3 - 2*s**2 - s
Let y(p) be the second derivative of -2*p**4 - 7*p**3/3 + 7*p**2 + 23*p. Let x(v) = -5*v + 0 + 2*v + 3 - 5*v**2. Calculate 14*x(o) - 3*y(o).
2*o**2
Let d(w) = -6*w - 2. Let a(b) = 6*b + 3. Calculate 4*a(s) + 5*d(s).
-6*s + 2
Let o(y) = 42*y. Let i(c) = -c. Let w(b) = -35*i(b) - o(b). Suppose -36 = -3*f + 9*f. Let q(h) = h. Determine f* | {
"pile_set_name": "DM Mathematics"
} |
he third derivative of 2*o**7/21 + 3*o**6/8 - 13*o**5/6 + 15*o**4/8 + 10*o**3/3 - 74*o**2. Let j(y) = 0. Calculate y.
-4, -1/4, 1
Determine u so that -3 - 10*u**2 + 2*u**3 - 23/2*u = 0.
-1/2, 6
Let l be ((-17)/51)/(1*1/(-6)). Factor 2*t**4 + 16*t**3 - 4 - 45*t**2 + 16*t**l - 5*t**4 + 20*t.
-(t - 2)**2*(t - 1)*(3*t - 1)
Factor -5*g**4 + 5671 + 10*g - 25*g**2 + 20*g**3 - 5671.
-5*g*(g - 2)*(g - 1)**2
Solve -492 - 1106*p**2 + 21*p**5 + 288*p**4 - 122 + 14 + 1365*p**3 + 1260*p + 3632*p**2 = 0.
-5, -2, 2/7
Let c be 19 + 189/(-14) + -5. Suppose -5*z + 35 = 5*o, 0 = -2*z - 3*z + 2*o. What is k in -k**z + 1/2*k**4 + 0 + 0*k - c*k**3 = 0?
-1, 0, 2
Suppose -3*l = -2*q - 858, 4*l + 6*q - 1161 = 3*q. Determine i so that 33*i**2 - l*i - i**2 - 2*i**3 + 160*i = 0.
0, 8
Let n(r) be the second derivative of -r**7/56 + r**6/20 - r**5/40 - 8*r**3/3 + 7*r. Let v(u) be the second derivative of n(u). Solve v(f) = 0.
0, 1/5, 1
Let p = -274 - -1554. Find r, given that -1288*r**2 + 28*r**4 - 5*r + p*r**2 + 5*r - 20*r**3 = 0.
-2/7, 0, 1
Let m = 30 + -89/3. Let y(g) be the first derivative of -g**2 + 0*g + m*g**6 + 0*g**4 - 4/3*g**3 - 3 + 4/5*g**5. Factor y(t).
2*t*(t - 1)*(t + 1)**3
Let i = 9 + -10. Let s = i + 4. Solve v**2 - 13*v**2 + 8*v - 3*v + s*v**3 + 10*v - 6 = 0 for v.
1, 2
Let b(a) be the second derivative of -1/45*a**5 + 1/135*a**6 + 1/54*a**4 + 0*a**2 + 0 + 16*a + 0*a**3. Factor b(z).
2*z**2*(z - 1)**2/9
Suppose 0*g - 95 = -5*f - 5*g, 3*g = -5*f + 93. Suppose -f = -5*z - z. Factor -10/7*a**z + 6/7*a**4 + 0 + 2/7*a**2 + 2/7*a.
2*a*(a - 1)**2*(3*a + 1)/7
Let a(q) = -20*q**3 + 65*q**2 + 55*q - 25. Suppose 3 = -10*c + 7*c. Let j(m) = -m**3 + m**2 - m - 1. Let g(y) = c*a(y) + 25*j(y). Determine h so that g(h) = 0.
-4, 0
Let s be ((-9)/(-15))/(3/(-15)). Let f = 6 + s. Factor -52*k + 0*k**f + 3*k**3 + 55*k + 6*k**2.
3*k*(k + 1)**2
Let l = -149 + 166. Suppose -34 = -34*y + l*y. Determine s so that -11/3*s + 1/3*s**5 - 1/3*s**4 - 2*s**3 + 1 + 14/3*s**y = 0.
-3, 1
Let x(s) be the third derivative of s**7/315 - 2*s**6/45 - 2*s**5/15 + 20*s**4/9 + 128*s**3/9 + s**2 - 272*s. Factor x(m).
2*(m - 8)*(m - 4)*(m + 2)**2/3
Let j(o) be the second derivative of 2*o**4/9 - 11*o**3/18 + o**2/2 + 3*o - 1. What is d in j(d) = 0?
3/8, 1
Suppose -5*x + x = 0. Suppose x = 2*v - 5*v + 12. Factor -12*q**4 + 18*q + 2*q**5 + 8 - v*q**2 + 28*q**3 - 28*q**2 - 12.
2*(q - 2)*(q - 1)**4
Let o(y) be the first derivative of -13*y**3 - 48*y**2 - 36*y - 582. Factor o(t).
-3*(t + 2)*(13*t + 6)
Let f(s) be the second derivative of -3*s**5/160 + s**4/16 + 9*s**3/16 - 27*s**2/8 + 4*s + 18. Solve f(q) = 0 for q.
-3, 2, 3
Let f(t) = -t**3 + t + 4. Let p be 0/9*1/(-2). Let z be f(p). Factor x**5 + 16*x**4 - z*x**4 - 48*x - 48*x**2 + 4*x**5 - 2*x**5.
3*x*(x - 2)*(x + 2)**3
Suppose 9*u = 7*u + 24. Suppose -3*y - 8*m + 12 = -u*m, 0 = -2*y + m + 8. Find j such that -1/3*j**y - 8*j - 22/3*j**2 - 8/3*j**3 - 3 = 0.
-3, -1
Solve 2/3*y + 0 + 2*y**3 - 2*y**2 - 2/3*y**4 = 0.
0, 1
Let v(m) = 7*m**3 + 45*m**2 + 133*m + 137. Let q(j) = 190*j**3 + 1215*j**2 + 3590*j + 3700. Let z(x) = -2*q(x) + 55*v(x). What is p in z(p) = 0?
-3
Let y(x) be the second derivative of 1/180*x**6 + 2*x**2 + 0 - 4*x + 0*x**4 + 0*x**3 + 1/45*x**5. Let n(c) be the first derivative of y(c). Factor n(q).
2*q**2*(q + 2)/3
Let i be ((-2)/(-6))/(-1 - (-217)/126). Find x such that 2/13*x**5 - 4/13*x**2 - 2/13 + 4/13*x**3 - 6/13*x + i*x**4 = 0.
-1, 1
Let u(j) be the first derivative of 2*j**3 - 38*j**2/3 + 16*j/3 + 19. Determine f, given that u(f) = 0.
2/9, 4
Let a(v) = -3*v - 4. Let u be a(-2). Factor u*d**2 - 44*d**2 + 87*d - 119*d - 8 - 18*d**3.
-2*(d + 1)*(3*d + 2)**2
Let s(c) = -c**3 - 8*c**2 - 16*c - 3. Let q(w) = -w**2 + 2*w + 1. Let p(l) = -6*q(l) - 2*s(l). Factor p(n).
2*n*(n + 1)*(n + 10)
Let x(h) be the third derivative of h**5/15 + 2*h**4/3 - 8*h**3 - 4*h**2 + 10*h. Find i such that x(i) = 0.
-6, 2
Let i(c) = 2*c**2 - 16*c + 19. Let t be i(7). Suppose 0 + 0*n**2 - 7/8*n**t + 1/4*n**3 + 0*n + 5/8*n**4 = 0. What is n?
-2/7, 0, 1
Let v(h) be the third derivative of -5*h**8/12096 + h**6/540 + 13*h**5/30 + 3*h**2. Let m(a) be the third derivative of v(a). Suppose m(b) = 0. Calculate b.
-2/5, 2/5
Let n(f) be the third derivative of -f**7/1120 + f**6/288 - f**5/240 - f**3/6 - 9*f**2. Let g(x) be the first derivative of n(x). Factor g(t).
-t*(t - 1)*(3*t - 2)/4
Suppose -k = 4*o - 21, -4*o + 15 = 6*k - 3*k. Let n(w) be the third derivative of 0 - 1/330*w**5 + 0*w**3 + 0*w + o*w**2 - 1/132*w**4. What is b in n(b) = 0?
-1, 0
Let l(o) = -o**3 + 11*o**2 - 16*o - 21. Let k be l(9). Let r be k/6 - (0 + (-34)/20). Factor 0*m**2 - 2/5*m**3 + r*m - 4/5.
-2*(m - 1)**2*(m + 2)/5
Factor -318 + 3*c + 8*c**2 + 194 - 164*c - 83*c.
4*(c - 31)*(2*c + 1)
Suppose 79*o = 76*o + 2*u + 22, -5*u = o + 21. Determine r, given that 3/4*r**o + 15/4*r**3 + 3/2 + 27/4*r**2 + 21/4*r = 0.
-2, -1
What is o in 139 - 4*o**2 + 32*o - 206 + 103 = 0?
-1, 9
Let l(p) be the second derivative of 1/30*p**5 + 1/3*p**3 + 0*p**2 + 5/12*p**4 + 0 + 1/900*p**6 - 2*p. Let m(n) be the second derivative of l(n). Factor m(v).
2*(v + 5)**2/5
Let y = -54 - -57. Let u be (-2 + 29/15)*(-3 - y). Factor u*a**2 - 2/5 + 0*a.
2*(a - 1)*(a + 1)/5
Factor 0*z**4 + 0 + 0*z + 18/7*z**3 + 0*z**2 - 2/7*z**5.
-2*z**3*(z - 3)*(z + 3)/7
Let j be (-33)/(-44) + 2/8. Let w be 26 - (3 + -5)*j. Factor 12 + 75*d**2 - 63*d - 25*d + w*d.
3*(5*d - 2)**2
Let t(d) = -4*d**2 - 38*d - 202. Suppose 13 = 2*f + 9. Let p(w) = 9*w**2 + 75*w + 405. Let u(z) = f*p(z) + 5*t(z). Factor u(l).
-2*(l + 10)**2
Let f(d) be the second derivative of d**7/7 - 14*d**6/15 + 13*d**5/10 + 3*d**4 - 20*d**3/3 - 8*d**2 + 3*d. Factor f(i).
2*(i - 2)**3*(i + 1)*(3*i + 1)
Let g(z) = -8*z**3 - 68*z**2 - 146*z - 34. Let x(s) = -8*s**3 - 69*s**2 - 147*s - 35. Let p(c) = -3*g(c) + 2*x(c). Solve p(h) = 0.
-4, -1/4
Let y(u) be the third derivative of -u**8/3360 - 11*u**7/2100 - 7*u**6/200 - 7*u**5/60 - 53*u**4/240 - u**3/4 + 99*u**2 - 1. Factor y(t).
-(t + 1)**3*(t + 3)*(t + 5)/10
Let w(c) be the first derivative of -4 + 1/10*c**4 - 8/15*c**3 - 4/5*c + c**2. Factor w(p).
2*(p - 2)*(p - 1)**2/5
Let p be 3 + (0 - 0)/3. Let 12*b + b**3 + 11 - 1 - 2 + 0*b**p + 6*b**2 = 0. What is b?
-2
Let t(q) be the third derivative of 1/108*q**6 + 8/27*q**3 - q**2 - 1/135*q**5 + 0*q + 0 - 5/27*q**4. Factor t(l).
2*(l - 2)*(l + 2)*(5*l - 2)/9
Let d(c) be the first derivative of 2*c**5/5 + 15*c**4/2 - 34*c**3 + 53*c**2 - 36*c - 337. Factor d(f).
2*(f - 1)**3*(f + 18)
Let l(m) be the second derivative of -m**6/120 + m**5/20 - m**4/12 + 4*m**2 - 3*m. Let u(s) be the first derivative of l(s). Find x, given that u(x) = 0.
0, 1, 2
Let a be 4 + (1 - 1 - (-234)/(-6)). Let s = a + 176/5. Factor -2*v**2 - 4/5*v**3 - s*v + v**5 + 8/5*v**4 + 2/5.
(v - 1)*(v + 1)**3*(5*v - 2)/5
Let p = 2723/20 - 136. Let v = p - 1/20. Factor 9/10*o + 27/10*o**3 - v - 27/10*o**2.
(3*o - 1)**3/10
Suppose 90*v = 107*v - 51. Factor 2/11*t - 2/11*t**v + 6/11 - 6/11*t**2.
-2*(t - 1)*(t + 1)*(t + 3)/11
Suppose -18800*s**2 + 18808*s**2 + 73*s - 14 - 19*s = 0. What is s?
-7, 1/4
Let r(w) be the second derivative of 3*w**5/20 - 2*w**4 - w**3/2 + 12*w**2 - 22*w - 6. Factor r(j).
3*(j - 8)*(j - 1)*(j + 1)
Let d(m) be the second derivative of m**5/50 - 43*m**4/30 - 136*m**3/15 - 92*m**2/5 + 28*m - 7. Factor d(u).
2*(u - 46)*(u + 1)*(u + 2)/5
Let f = -1541/140 - -223/20. Determine n, given that 9/7 + n**2 - 15/7*n - f*n**3 = 0.
1, 3
Suppose 2/13*h**2 - 14/13*h - 2/13*h**4 + 0 + 14/13*h**3 = 0. What is h?
-1, 0, 1, 7
Let y(o) be the first derivative of o**3/3 + 8*o**2 + 64*o + 594. Solve y(u) = 0.
-8
Let f = 1 - -4. Suppose 4*g + d = 13, d + d = f*g. Solve -2*t**g - 4/3 - 10/3*t = 0 for t.
-1, -2/3
Let n(s) be the first derivative of s**7/252 - s**5/30 - s**4/36 + s**3/12 + s**2/6 - 2*s + 4. Let h(f) be the first derivative of n(f). Factor h(i).
(i - 2)*(i - 1)*(i + 1)**3/6
Solve -26/11*i**2 - 2/11*i**3 - 52/11*i + 80/11 = 0 for i.
-10, -4, 1
Let k be (6/12)/((-30)/(-12)) + 0. Factor -4/5*w**3 - 2/5*w - k*w**4 - w**2 + 0.
-w*(w + 1)**2*(w + 2)/5
Let k(h) = 5*h + 3. Let o be k(13). Suppose 151*s**4 - 38*s**4 + 14*s**5 + 54*s + 20 - 80*s**2 - o*s**3 - 53*s**4 = 0. What is s?
-5, -1, -2/7, 1
Let z = -29 - -33. Suppose 3 | {
"pile_set_name": "DM Mathematics"
} |
h is the nearest to -2? (a) -0.5 (b) -7/4 (c) 2/5
b
Which is the closest to -1? (a) 0.3 (b) -2/9 (c) 2/9 (d) -4
b
What is the closest to 0.02 in -3, 2/15, 0.2, 5?
2/15
Which is the nearest to -1? (a) 5 (b) 0.1 (c) 39 (d) 1/3
b
What is the closest to 2/3 in 2, -1/5, -66/17?
-1/5
What is the nearest to -2/7 in -2/9, 0, 0.3, -2?
-2/9
What is the closest to 0 in 12, 5, 1.5?
1.5
Which is the nearest to -1/2? (a) 1/3 (b) 51 (c) 0.3 (d) 3
c
What is the closest to 8 in -1, 0.3, 2, 69?
2
Which is the closest to -1/3? (a) 2 (b) 0.2 (c) 12/13
b
What is the nearest to -1/7 in -5, 5, -29?
-5
What is the nearest to 0.11 in 2/11, 0.2, -11?
2/11
What is the nearest to -1/2 in -2, 0.1, -46, -1?
-1
What is the nearest to -2 in -0.3, 3, -4, -4/9?
-4/9
What is the closest to 2.5 in -2/7, -1/21, 1/5?
1/5
Which is the closest to 1? (a) 0.019 (b) -0.3 (c) 3
a
What is the closest to 1 in -5, 5, 102?
5
Which is the closest to -2? (a) -5 (b) -0.3 (c) 3
b
Which is the nearest to -16? (a) -1/2 (b) -1 (c) 1 (d) -2
d
What is the closest to 0.3 in -5, 0, -5/179?
0
Which is the nearest to 4? (a) 3/7 (b) -3/4 (c) -2
a
Which is the closest to 0? (a) 1/3 (b) -2/385 (c) -2 (d) 1
b
What is the closest to 3/14 in 0.1, -4/15, -2/7?
0.1
What is the nearest to 3 in 5, -1, -2/19, -6?
5
Which is the nearest to 0? (a) -0.09 (b) 5 (c) 0.8
a
Which is the closest to -2? (a) -0.04 (b) 2/13 (c) -1
c
Which is the nearest to -1? (a) 2/13 (b) -1/17 (c) -1 (d) 40
c
What is the nearest to -3 in -0.01, 0, -1/4?
-1/4
What is the nearest to 1/3 in -1, -0.11, 2/5?
2/5
What is the closest to -16 in -1, 2, -1/6?
-1
Which is the closest to -85? (a) 3 (b) -0.3 (c) -0.5
c
Which is the closest to 1? (a) 715 (b) -0.2 (c) -2
b
What is the nearest to 0.1 in -0.1, -1/6, -37?
-0.1
What is the nearest to 1 in 3, 0.11, -3?
0.11
Which is the nearest to 0.09? (a) -2/11 (b) -0.5 (c) 1
a
What is the closest to 965 in -2/7, 4, 1?
4
Which is the nearest to -2? (a) 1/3 (b) 359 (c) -5 (d) -0.2
d
What is the closest to 0.06 in 1, -2, 0, 1/5?
0
Which is the closest to 38? (a) -2/3 (b) -2 (c) -1/4
c
What is the closest to -0.1 in 6/19, -0.1, -22?
-0.1
What is the closest to 3 in 5, -2.5, -3?
5
Which is the closest to 12? (a) 1 (b) 1/6 (c) -1/7
a
What is the closest to -2 in 0.5, -1/3, 1, -4?
-1/3
Which is the nearest to 5? (a) 0.5 (b) 0.3 (c) -69
a
What is the nearest to -552 in 0.5, 1, -4, 4?
-4
What is the nearest to 2 in -9.2, -2/7, -0.5, 1?
1
What is the nearest to 1 in -1, 6, -0.4?
-0.4
Which is the nearest to -1? (a) 4 (b) -89 (c) 1 (d) 1/4
d
Which is the closest to -1/3? (a) 3 (b) -0.2 (c) -6 (d) -0.93
b
What is the closest to -0.06 in 0, -0.6, 3?
0
Which is the nearest to 1/3? (a) 1 (b) -5 (c) 2/7 (d) 0.3
d
What is the closest to -0.1 in -11/4, -0.1, -0.2, -2/5?
-0.1
What is the nearest to 12 in -0.2, -12/11, 3/4?
3/4
Which is the nearest to -2/15? (a) 1 (b) -2/17 (c) 12
b
Which is the nearest to 13.7? (a) -1/3 (b) 2 (c) 0.1 (d) 1
b
Which is the closest to -1? (a) 111 (b) 5 (c) -2 (d) -0.1
d
What is the closest to 0 in 5, -0.5, 30?
-0.5
What is the closest to 1/5 in -6/23, -2, 5/3?
-6/23
What is the closest to -2/5 in 0.01, -0.08, -3, 0.5?
-0.08
Which is the closest to -3/22? (a) 51 (b) 3/7 (c) -3
b
Which is the nearest to -1? (a) -21 (b) -3 (c) 0.3
c
Which is the nearest to 1/4? (a) 3/8 (b) 12 (c) 2/5 (d) -0.25
a
Which is the nearest to -36? (a) -3 (b) -0.3 (c) 0
a
What is the nearest to -8 in 3, -0.4, 4?
-0.4
Which is the nearest to -10? (a) 0.2 (b) -2/5 (c) 0 (d) -0.01
b
What is the closest to 4 in -1/6, 0.5, 4, 2/9?
4
What is the nearest to 0.1 in -3, 2/3, -21, 0.1?
0.1
What is the closest to -0.4 in 1/3, 0, -13, -1/9?
-1/9
What is the nearest to 0 in 4/5, 5, -6, 0.2?
0.2
Which is the nearest to -94? (a) -0.5 (b) 2/5 (c) 1
a
What is the closest to -3/5 in 14, -0.5, 0.2, 7?
-0.5
Which is the nearest to 0.5? (a) 0 (b) -1 (c) -77 (d) 4/3
a
What is the nearest to -2/5 in 0.4, 1/10, 8/3, -0.4?
-0.4
Which is the nearest to -1? (a) -0.3 (b) 101 (c) -0.2 (d) 1/20
a
What is the closest to 1 in 1, 5, -23?
1
What is the closest to -2/9 in 3, -12, 0.01?
0.01
Which is the closest to 0.4? (a) 4 (b) -3/4 (c) 1/6 (d) 2/23
c
Which is the closest to 1? (a) 1 (b) 2 (c) -1785
a
Which is the nearest to 0? (a) -80 (b) 3 (c) 0.3
c
Which is the nearest to 118? (a) 2/9 (b) 1/2 (c) -4
b
Which is the nearest to -5? (a) 0.046 (b) -0.4 (c) -0.1
b
What is the closest to 2/5 in 4/315, -4/9, 4?
4/315
What is the nearest to -0.1 in 0.029, 1, -3?
0.029
Which is the closest to 19? (a) -4/3 (b) 4 (c) -0.1 (d) -3/2
b
Which is the nearest to 1? (a) -0.5 (b) -3 (c) -53 (d) -1/8
d
Which is the nearest to 2? (a) 0 (b) 3 (c) -1/5 (d) -0.4
b
What is the closest to 0 in -142, 0, 4?
0
What is the nearest to 0.7 in -0.7, -2/5, 0, 4?
0
Which is the closest to 1/3? (a) -0.5 (b) 12 (c) 42
a
What is the closest to 0.8 in -1, 2, 7?
2
What is the closest to 0 in 0.01, 0.12, 5?
0.01
Which is the nearest to 0.1? (a) -3 (b) -1 (c) 5 (d) 2
b
What is the closest to -1/4 in 0.4, -14, 1, 0.5?
0.4
What is the nearest to -1/4 in 10/9, -4, -2/3, 2/9?
-2/3
Which is the closest to 0? (a) -3 (b) 1/3 (c) 65 (d) -0.5
b
Which is the nearest to 2/9? (a) 5/2 (b) 11 (c) -1/8
c
What is the closest to -3/5 in -3, 5, 9?
-3
Which is the closest to 80? (a) 1/6 (b) -5 (c) -2
a
Which is the nearest to 3/5? (a) 0 (b) -3 (c) -4
a
What is the nearest to -2/3 in 0.2, 0.044, 2?
0.044
Which is the closest to 2/3? (a) -9/64 (b) 5/2 (c) -2/3 (d) 0.9
d
What is the closest to 2/3 in -1/7, 2.3, 1/4, -1?
1/4
What is the closest to -0.23 in -0.1, 8, 4/5?
-0.1
Which is the nearest to -6? (a) -0.1 (b) 3 (c) -3/22
c
Which is the closest to 2? (a) -0.2 (b) -4 (c) 2/7 (d) -5
c
What is the nearest to 1 in 0.6, 1, -1, 12?
1
Which is the closest to 5? (a) 1.7 (b) 0.1 (c) 0.2
a
What is the closest to 0.01 in -1, -0.1, 1/4?
-0.1
What is the closest to 0 in 54, 2/13, 1?
2/13
Which is the nearest to 0.2? (a) -0.3 (b) -33 (c) 1/5
c
Which is the closest to 0? (a) 0 (b) -0.1 (c) 0.5
a
What is the closest to -0.1 in -3/4, -0.5, -0.07?
-0.07
Which is the closest to -1? (a) -2 (b) 2/9 (c) 0.5
a
What is the nearest to 2 in -4, 5, 0.4, -2/29?
0.4
What is the nearest to 1/4 in 2/7, 34, 3/8, -3?
2/7
What is the nearest to -1 in -0.015, -2/3, -4, -5?
-2/3
Which is the nearest to -2? (a) 32 (b) -1 (c) -0.5 (d) -3/7
b
Which is the closest to 4/3? (a) 1.4 (b) 1 (c) 0.4
a
Which is the nearest to -8? (a) -1/2 (b) -0.4 (c) -7 (d) -4
c
What is the closest to 1/3 in -1, 2/19, 1, 2/11?
2/11
What is the closest to 1 in 1/3, 0.1, -12/79?
1/3
Which is the closest to 0? (a) -2 (b) 25 (c) 2/7
c
Which is the nearest to -8/3? (a) -1/3 (b) 6 (c) -6
a
Which is the closest to 4? (a) -0.2 (b) 4 (c) 0.1 (d) 0.2
b
What is the nearest to 0.06 in -1, 4, -4, -3?
-1
What is the closest to 123/14 in -5, -3/7, 0.4, -0.1?
0.4
What is the nearest to 4.4 in -0.3, 4, -4?
4
Which is the nearest to -157? (a) -0.4 (b) -5 (c) -4
b
What is the closest to 6/55 in -1, 0.1, 1/4?
0.1
What is the nearest to -0.9751 in 2/13, -2, -1?
-1
Which is the closest to 0? (a) 4 (b) -5 (c) 2/3 (d) -1
c
What is the closest to 0.01 in -0.05, 21/2, 0.5?
-0.05
Which is the closest to -2/85? (a) -1 (b) 2/13 (c) 2/7
b
What is the nearest to -3/98 in 16, 0.5, -1?
0.5
Which is the nearest to 0.1? (a) 0.4 (b) -2/9 (c) -0.8 (d) 3
a
What is the nearest to -34 in -5, 4, 0.1?
-5
What is the closest to 63 in -4, -1, -3/2?
-1
Which is the nearest to 4/7? (a) -1 (b) -5 (c) -4.4 (d) 4
a
What is the closest to 1 in -6, -5, -0.07, -4/3?
-0.07
Which is the nearest to 2/7? (a) -1/6 (b) -3 (c) 5 (d) 0.1
d
What is the nearest to -2/5 in -0.4, -6, -3/4, -2?
-0.4
What is the closest to 1 in -146, 0.3, -1/2, -1?
0.3
Which is the nearest to -1? (a) 3 (b) 5 (c) 2/19 (d) -4
c
What is the nearest to -2/5 in 0.1, -16/3, 16?
0.1
What is the nearest to 3 in 5, 0.1, 45?
5
What is the nearest to -0.1 in 2/5, 1/4, 0.7?
1/4
What is the closest to -20 in -0.5, -5/102, -1, -2?
-2
What is the nearest to -1 in -2/3, 3, -1/4, 1.21?
-2/3
Which is the closest to -1/2? (a) 2/3 (b) 5 | {
"pile_set_name": "DM Mathematics"
} |
d - 2 = 3. Let b = d + l. Is b a multiple of 2?
True
Let i(d) = 9*d**2 + 9. Is i(6) a multiple of 37?
True
Is 20 a factor of 4/6*42/28 + 59?
True
Let p(d) = -13*d + 1. Let v = -5 - -4. Does 7 divide p(v)?
True
Let o = -60 + 63. Let g(i) = i**2 + 0*i**3 + i**2 + i**3 - 2 - 2*i. Is 12 a factor of g(o)?
False
Let o = -24 + 14. Let j = o - -20. Is j a multiple of 10?
True
Suppose w + 294 = 3*c - 0*c, c - 2*w - 93 = 0. Does 33 divide c?
True
Let d = -1 + 4. Is 3 a factor of d?
True
Let v be 1/((-18)/10 + 2). Suppose -4*j + v*t + 10 = -1, 4*t - 24 = -5*j. Suppose -44 = -2*f - j*p, -6 = -0*p - 3*p. Is f a multiple of 9?
True
Let y be 4/6*(-1 + 4). Suppose 7 = 5*l - 23. Is 9 a factor of (-46)/y*(l + -7)?
False
Suppose 0 = -s + 4*j + 24, -5*s + j - 5*j + 24 = 0. Suppose -2*f + 2*c = -s, -f = 3*f + c - 21. Suppose 5*m - 48 = -f*l + 17, m - 2*l - 19 = 0. Does 5 divide m?
True
Suppose 0 = -v - 4*v + 15. Suppose -v*m - 3 = -24. Let h = 15 - m. Is 5 a factor of h?
False
Suppose -5*h - 36 - 6 = -r, -5*r + 110 = -5*h. Let u = 50 - r. Is 31 a factor of u?
False
Let g = 19 + 8. Suppose -7*h + 5*s = -3*h + 71, 0 = -3*h + 3*s - 54. Let k = h + g. Is 8 a factor of k?
True
Let f(a) be the third derivative of -a**5/60 + a**4/3 + a**3/2 - a**2. Let o be f(8). Suppose 0*w - o*w = -21. Does 5 divide w?
False
Let x = -67 + 97. Does 5 divide x?
True
Let s be (-30)/(-8) - (-10)/40. Suppose s*a = 5*r - 31, 0 = 5*r - a - 24 - 10. Is r a multiple of 7?
True
Let q(s) = 7 + 7*s - 2*s + s - s**2. Does 7 divide q(5)?
False
Let h be ((-6)/(-5))/((-14)/(-35)). Suppose -5*n = -h*n - 8. Is 4 a factor of n?
True
Suppose 10*g - 640 = 130. Is 22 a factor of g?
False
Is 6 a factor of (-4)/6 - 148/(-6)?
True
Let m(o) = o**2 + 5*o + 6. Let n be m(-4). Suppose 0 = -0*u - n*u + 28. Does 8 divide u?
False
Let h = -9 + 7. Let b be (-4)/(h*(-3)/6). Let i = b - -6. Is 2 a factor of i?
True
Let s(h) = -2*h + 2. Let m(r) = -10*r + 10. Let x(c) = -2*m(c) + 11*s(c). Is 5 a factor of x(-2)?
False
Let p be (-81)/6 - (-2)/(-4). Is 680/28 - (-4)/p a multiple of 12?
True
Let l(p) be the second derivative of 11*p**3/6 - 7*p**2/2 - 4*p. Is l(6) a multiple of 16?
False
Let q(x) = -5*x - 25. Is 15 a factor of q(-11)?
True
Let x(m) = -11*m + 65. Is 3 a factor of x(4)?
True
Suppose 0 = -2*g + 6*g, -4*g = -4*o + 132. Is 9 a factor of o?
False
Suppose u - 764 = -3*d, 2*u + 0*u - 1273 = -5*d. Suppose -255 = 5*c + 5*f, 4*c = -c + 5*f - d. Let k = -11 - c. Does 14 divide k?
False
Suppose -3*m + 4 = 2*m - x, 3 = 5*m - 2*x. Let t = 3 + m. Suppose -r + 35 = t*r. Does 5 divide r?
False
Suppose 54 = 3*a + 4*s - 0*s, 5*a + 5*s - 85 = 0. Is a a multiple of 2?
True
Let z = 239 + -133. Is 25 a factor of z?
False
Suppose 3*x + r = 3*r + 7, 4*x = -r - 9. Let s = 3 + x. Is s even?
True
Suppose 22 = -5*l - q + 5*q, -q = l - 1. Does 6 divide ((-2)/(-3))/(l/(-51))?
False
Let g = -35 - -59. Is g a multiple of 4?
True
Suppose -40 = -3*w - 5*c, 0 = 4*w - 0*w + c - 25. Suppose -2*f = y - 5, -w*f - 2*y = -7*y - 35. Is 2 a factor of f?
True
Let q be (-174)/(-24) - 6/(-8). Suppose 3*p - 21 = -4*n, -2 = 5*n - 3*p - q. Does 3 divide n?
True
Suppose -2*s - 12 = -8*s. Let l(a) = a**2 - 2*a + 1. Let p be l(-4). Suppose d - 4*c = p, -4*c = -s*d - 2*d + 64. Is d a multiple of 13?
True
Suppose 0*q - 3*q = -117. Suppose -4*p + q = -p. Is 13 a factor of p?
True
Let t be ((-2)/(-6))/(7/126). Suppose 5*m = t + 39. Does 2 divide m?
False
Does 21 divide (2 + 0)/(1/50)?
False
Suppose -10*l - 10 = -15*l. Suppose 32 + 16 = j - 3*o, -l*j - 4*o = -46. Does 17 divide j?
False
Let k(m) = -4*m**3 + m**2 - m - 1. Let q(u) = -u + 4. Let w be 9 - 5 - 1*-1. Let b be q(w). Is 3 a factor of k(b)?
False
Suppose -5*r = -6*r. Suppose -t - 1 = r, -3*w + 0*t + 2*t + 32 = 0. Is w a multiple of 3?
False
Let s = -12 + 30. Suppose x = l + s, -2*x - 3*l = x - 60. Is 19 a factor of x?
True
Let t = -2 + 6. Suppose 0 = t*b + 2*c + 32, -5*b - 2*c = 3*c + 35. Let h = -6 - b. Is 2 a factor of h?
False
Let p = 25 - 18. Suppose 0 = 4*y - 8, -3*y - 2 - p = -5*l. Suppose -40 - 26 = -l*r. Does 12 divide r?
False
Let s = 105 + 3. Is s a multiple of 12?
True
Let o(j) = -2*j - 12. Let c be o(-9). Let t(z) = -z**2 + 8*z - 6. Is t(c) a multiple of 2?
True
Suppose -13*h = -9*h - 16. Suppose 0 = h*v - 5*o - 53 - 44, -5 = o. Is 6 a factor of v?
True
Let x(o) = -o**2 + 6*o - 4. Let l be x(4). Suppose 4*p - l*q = 108, 0 = 2*p - 5*q - 1 - 38. Does 10 divide p?
False
Is (225/(-6))/(12/(-24)) a multiple of 5?
True
Let z(i) = 72*i + 9. Let f be z(5). Does 12 divide ((-6)/(-18))/(3/f)?
False
Suppose 9 + 17 = y. Is y a multiple of 7?
False
Does 16 divide (-4)/(-8) - (-124)/8?
True
Suppose 4*y = -5*g + 140, -2*y = -g + 44 - 2. Does 32 divide g?
True
Let s = 29 - 20. Let j(b) = 3*b + 6. Is 9 a factor of j(s)?
False
Let c(v) = -v - 14. Let g be c(11). Let s = 9 - g. Is 19 a factor of s?
False
Let x(u) = -3*u - 4. Suppose 4*y - 9 = 3. Suppose -5*n + 9 = -6, -y*r = -n + 12. Does 4 divide x(r)?
False
Suppose t = -0*t + 4. Suppose -3*a - 2 = 2*c, -5*c - 2*a + t + 13 = 0. Is c even?
False
Suppose -3*g + 2*m = -32 + 376, 223 = -2*g - 5*m. Let d be g/(-4) + 2/4. Suppose -d = -4*u + 15. Does 9 divide u?
False
Let l(t) be the third derivative of 5*t**4/24 - t**3/3 - 3*t**2. Let x be l(4). Let n = x - 9. Is n a multiple of 3?
True
Let v be -2*5*(-5)/(-2). Let n = 73 + v. Let w = n + -30. Is w a multiple of 18?
True
Suppose 3*w - w = 2*z - 12, -5*z = -3*w - 36. Does 10 divide 1848/54 - 2/z?
False
Suppose -5*c + 3*m = -581, 79 + 262 = 3*c + 2*m. Is c a multiple of 36?
False
Let p = 41 - -11. Suppose -p + 0 = -2*k. Is 20 a factor of k?
False
Suppose -2*d = o - 12, 0 = 4*d - 8*d - 3*o + 28. Is ((-4)/(-12))/(d/276) a multiple of 17?
False
Suppose 8*f - 6*f - 46 = 0. Is f a multiple of 5?
False
Let r(w) = w**2 - 10*w + 5. Let c be r(10). Suppose -n + 2*n = -s + 10, 0 = -n + c*s + 16. Does 11 divide n?
True
Let f(c) = 25*c**2 + 4*c - 1. Does 33 divide f(3)?
False
Let g = 51 - 41. Is g a multiple of 4?
False
Suppose -4*f + 5*g + 21 = 0, 0 = f - 4*g + 1 + 2. Suppose 5*v = 2*v - f. Let z = 1 - v. Is z even?
True
Let x = 43 + 197. Is x a multiple of 30?
True
Let i = -131 + 189. Does 11 divide i?
False
Let f(l) = l + 26. Let u be (2 - (-36)/2) + 0. Suppose x - 4*q - 9 = 7, -3*x - 5*q = u. Is f(x) a multiple of 13?
True
Let o(z) = -2*z + 1. Let j be o(2). Is 7 a factor of (32/6)/((-2)/j)?
False
Suppose 5*d - 5*s - 5 = 0, 3*s + 0*s = -3*d - 27. Let a = d + 2. Does 14 divide (-56)/a - 0/(-1)?
True
Suppose -3*j - 50 = -8*j. Suppose 0 = 4*y + y - j. Does 6 divide 1*y + (-2 - -16)?
False
Let l = -3 + 5. Let r(f) = -11*f**l + 4 + f**3 - f - 10*f - 9. Is r(12) a multiple of 7?
True
Let s = 11 - -28. Let p = s + -20. Is p a multiple of 17?
False
Suppose -8 = -5*m + 17. Suppose 3*g - 160 = -m*p, -4*g - 5*p + 0*p = -210. Suppose -5*h = -0*h - g. Is h a multiple of 10?
True
Does 8 divide (-3 + 7)/((-1)/(-8))?
True
Suppose 4*r + 225 = 3*f, 3*r + 0*r + 9 = 0. Is f a multiple of 25?
False
Suppose s - 95 = 2*c, -c + 301 = 2*s + 91. Does 21 divide s?
False
Does 5 divide 2/(-6) + 680/24?
False
Let i(g) = 6*g + 18. Is 18 a factor of i(0)?
True
Let d(j) = 1 + 0 + 5*j - j + 1. Let x be d(-3). Let m = x + 47. Is m a multiple of 19?
False
Suppose 0*t - 2*r - 32 = -4*t, 0 = 5*t - 5*r - 40. Is t a multiple of 2?
True
Let d(t) = -4*t**3 - 4*t + 1. Is 7 a factor of d(-2)?
False
Suppose v + 2*v = 99. Is v a multiple of 33?
True
Let v(y) = y**3 - 10*y**2 + 9*y + 3. Let k be v(9). Let a be (2 + k/(-2))*4. Suppose 7*w = -5*d + 3*w + 136, -a*d - 2*w = -54. Does 11 divide d?
False
Let h(x) = -x**2 - 5*x + 1. Let f be h(-5). Suppose s + 9 = 3*g - s, 2*g - 3*s - f = 0. Let u = 21 + g. Is u a multiple of 12?
False
Suppose 3*x = 2*n - 0*x - 229, 0 = 3*n - 2*x - 336. Is n a multiple of 11?
True
Suppose 0 = -5*q + 545 - 185. Does 36 divide q?
True
Let l be 2*(0 + 1) + 40. Suppose -5*f = 3*x - 70, 6*x + l = 3*f + 2*x. Is f a multiple of 14?
True
Let i be -2 - 1/(2/(-12)). Suppose 2*o - 6*o = i*w - 4, -2*w = -o + 7. Is (w*(-1 - -7))/(-1) a multiple of 8?
False
Let n = 15 + -6. Let w be (n/12)/((-1)/(-4)). Suppose -k - w*h + 31 = 3*k, -14 = -k - 2*h. Is 3 a factor of k?
False
Suppose 8 = 2*k + 4*x, -44 = -k - 3*k - x. Let w = k - -60. Suppose w = -i + 4*i. Is | {
"pile_set_name": "DM Mathematics"
} |
tes are there between 3:22 PM and 11:10 PM?
468
How many minutes are there between 3:14 PM and 7:40 PM?
266
How many minutes are there between 2:09 PM and 3:26 PM?
77
How many minutes are there between 10:12 PM and 3:36 AM?
324
How many minutes are there between 10:26 PM and 6:16 AM?
470
How many minutes are there between 2:05 PM and 6:14 PM?
249
What is 120 minutes before 2:06 AM?
12:06 AM
How many minutes are there between 10:37 AM and 10:22 PM?
705
What is 102 minutes before 4:20 PM?
2:38 PM
What is 647 minutes after 8:25 AM?
7:12 PM
What is 678 minutes before 6:15 PM?
6:57 AM
How many minutes are there between 1:38 PM and 6:31 PM?
293
How many minutes are there between 3:48 AM and 3:28 PM?
700
How many minutes are there between 4:48 AM and 2:24 PM?
576
How many minutes are there between 11:53 PM and 10:24 AM?
631
How many minutes are there between 10:02 PM and 7:34 AM?
572
How many minutes are there between 4:27 AM and 7:02 AM?
155
How many minutes are there between 9:28 AM and 10:57 AM?
89
What is 277 minutes before 5:24 PM?
12:47 PM
What is 36 minutes before 2:13 AM?
1:37 AM
How many minutes are there between 1:00 AM and 12:30 PM?
690
What is 345 minutes before 6:14 AM?
12:29 AM
What is 6 minutes before 10:40 AM?
10:34 AM
How many minutes are there between 1:10 PM and 8:53 PM?
463
How many minutes are there between 8:57 AM and 7:04 PM?
607
How many minutes are there between 8:26 AM and 11:55 AM?
209
How many minutes are there between 2:26 AM and 6:41 AM?
255
How many minutes are there between 6:19 PM and 11:37 PM?
318
What is 103 minutes after 8:35 AM?
10:18 AM
What is 195 minutes before 2:42 AM?
11:27 PM
How many minutes are there between 10:05 AM and 10:24 AM?
19
How many minutes are there between 9:12 AM and 4:50 PM?
458
How many minutes are there between 10:25 AM and 1:11 PM?
166
What is 414 minutes before 5:29 AM?
10:35 PM
How many minutes are there between 8:55 AM and 5:40 PM?
525
What is 302 minutes before 6:34 PM?
1:32 PM
How many minutes are there between 10:02 AM and 6:25 PM?
503
What is 97 minutes after 11:15 PM?
12:52 AM
What is 300 minutes after 7:01 PM?
12:01 AM
What is 181 minutes after 10:04 PM?
1:05 AM
What is 235 minutes after 3:57 PM?
7:52 PM
What is 639 minutes before 9:28 PM?
10:49 AM
What is 706 minutes before 9:46 AM?
10:00 PM
What is 405 minutes after 11:20 PM?
6:05 AM
What is 184 minutes after 9:25 AM?
12:29 PM
What is 514 minutes before 11:42 PM?
3:08 PM
What is 394 minutes after 12:33 AM?
7:07 AM
What is 321 minutes before 9:03 AM?
3:42 AM
How many minutes are there between 10:51 PM and 1:15 AM?
144
How many minutes are there between 2:17 AM and 1:33 PM?
676
What is 525 minutes before 11:09 PM?
2:24 PM
What is 584 minutes before 4:49 AM?
7:05 PM
What is 173 minutes after 5:58 AM?
8:51 AM
What is 92 minutes before 5:49 PM?
4:17 PM
What is 41 minutes after 7:21 PM?
8:02 PM
How many minutes are there between 12:49 PM and 3:14 PM?
145
What is 526 minutes before 2:48 AM?
6:02 PM
What is 309 minutes before 2:49 AM?
9:40 PM
What is 704 minutes before 10:25 PM?
10:41 AM
How many minutes are there between 10:35 PM and 8:03 AM?
568
What is 2 minutes before 4:24 AM?
4:22 AM
What is 708 minutes before 1:41 AM?
1:53 PM
What is 323 minutes before 10:18 AM?
4:55 AM
What is 97 minutes before 10:45 PM?
9:08 PM
How many minutes are there between 10:38 PM and 11:14 PM?
36
What is 681 minutes before 1:45 PM?
2:24 AM
What is 553 minutes after 11:39 AM?
8:52 PM
What is 386 minutes after 11:59 AM?
6:25 PM
How many minutes are there between 3:00 PM and 5:00 PM?
120
How many minutes are there between 3:23 AM and 9:05 AM?
342
How many minutes are there between 3:27 AM and 3:10 PM?
703
What is 672 minutes after 1:10 PM?
12:22 AM
What is 585 minutes before 5:33 PM?
7:48 AM
What is 303 minutes before 8:57 PM?
3:54 PM
What is 646 minutes before 12:27 AM?
1:41 PM
How many minutes are there between 2:10 PM and 12:33 AM?
623
What is 117 minutes after 5:37 PM?
7:34 PM
How many minutes are there between 3:06 PM and 3:47 PM?
41
How many minutes are there between 6:50 AM and 5:45 PM?
655
What is 54 minutes after 2:56 AM?
3:50 AM
How many minutes are there between 5:52 PM and 7:49 PM?
117
How many minutes are there between 4:40 AM and 11:36 AM?
416
What is 705 minutes before 11:05 PM?
11:20 AM
What is 309 minutes after 1:17 PM?
6:26 PM
How many minutes are there between 3:08 AM and 12:26 PM?
558
What is 667 minutes before 7:37 PM?
8:30 AM
What is 240 minutes before 10:52 AM?
6:52 AM
What is 597 minutes before 1:57 PM?
4:00 AM
How many minutes are there between 8:42 AM and 9:31 AM?
49
What is 692 minutes after 5:03 PM?
4:35 AM
How many minutes are there between 12:07 AM and 6:02 AM?
355
How many minutes are there between 1:58 AM and 10:38 AM?
520
What is 48 minutes before 7:03 AM?
6:15 AM
What is 88 minutes before 7:47 AM?
6:19 AM
What is 466 minutes before 2:40 AM?
6:54 PM
What is 467 minutes before 4:09 AM?
8:22 PM
How many minutes are there between 3:11 AM and 11:34 AM?
503
How many minutes are there between 2:06 AM and 11:58 AM?
592
How many minutes are there between 7:33 PM and 4:39 AM?
546
What is 305 minutes after 1:34 AM?
6:39 AM
How many minutes are there between 12:01 PM and 9:33 PM?
572
How many minutes are there between 5:04 PM and 10:25 PM?
321
What is 557 minutes before 8:56 PM?
11:39 AM
What is 345 minutes before 1:45 AM?
8:00 PM
What is 323 minutes after 9:13 AM?
2:36 PM
How many minutes are there between 2:28 AM and 8:56 AM?
388
How many minutes are there between 7:21 AM and 1:15 PM?
354
How many minutes are there between 3:46 PM and 5:36 PM?
110
How many minutes are there between 10:43 AM and 10:38 PM?
715
How many minutes are there between 12:01 PM and 5:28 PM?
327
How many minutes are there between 12:45 AM and 7:16 AM?
391
How many minutes are there between 4:20 AM and 2:25 PM?
605
What is 617 minutes after 8:07 PM?
6:24 AM
What is 127 minutes before 8:28 AM?
6:21 AM
What is 398 minutes after 9:27 AM?
4:05 PM
How many minutes are there between 2:12 PM and 2:21 PM?
9
How many minutes are there between 1:31 PM and 11:04 PM?
573
How many minutes are there between 12:16 AM and 11:59 AM?
703
What is 697 minutes after 11:20 AM?
10:57 PM
How many minutes are there between 7:35 PM and 5:20 AM?
585
How many minutes are there between 3:47 PM and 4:20 PM?
33
What is 634 minutes after 4:30 PM?
3:04 AM
What is 539 minutes after 12:20 PM?
9:19 PM
How many minutes are there between 5:03 AM and 7:03 AM?
120
What is 589 minutes after 3:25 AM?
1:14 PM
What is 341 minutes before 5:08 PM?
11:27 AM
How many minutes are there between 6:13 PM and 9:03 PM?
170
What is 170 minutes before 4:08 PM?
1:18 PM
How many minutes are there between 12:02 AM and 7:28 AM?
446
What is 405 minutes after 10:15 AM?
5:00 PM
What is 139 minutes after 7:20 AM?
9:39 AM
What is 679 minutes before 2:01 PM?
2:42 AM
What is 517 minutes after 9:31 AM?
6:08 PM
What is 391 minutes after 11:46 AM?
6:17 PM
How many minutes are there between 4:49 PM and 9:15 PM?
266
What is 444 minutes before 12:55 PM?
5:31 AM
How many minutes are there between 9:09 PM and 7:37 AM?
628
What is 322 minutes after 12:43 PM?
6:05 PM
How many minutes are there between 2:27 AM and 8:55 AM?
388
What is 332 minutes after 6:09 PM?
11:41 PM
How many minutes are there between 1:53 AM and 9:53 AM?
480
What is 481 minutes after 9:30 PM?
5:31 AM
How many minutes are there between 2:15 PM and 8:21 PM?
366
How many minutes are there between 3:16 PM and 3:57 PM?
41
What is 209 minutes before 6:59 AM?
3:30 AM
How many minutes are there between 5:57 PM and 11:22 PM?
325
How many minutes are there between 2:10 PM and 9:18 PM?
428
What is 148 minutes before 6:15 AM?
3:47 AM
What is 2 minutes after 10:04 AM?
10:06 AM
What is 528 minutes after 5:33 AM?
2:21 PM
What is 315 minutes after 7:01 PM?
12:16 AM
What is 60 minutes before 3:19 PM?
2:19 PM
How many minutes are there between 4:25 PM and 5:56 PM?
91
What is 56 minutes before 8:07 AM?
7:11 AM
What is 341 minutes before 3:57 AM?
10:16 PM
What is 546 minutes before 3:51 PM?
6:45 AM
What is 341 minutes after 4:35 PM?
10:16 PM
What is 354 minutes after 2:53 AM?
8:47 AM
How many minutes are there between 6:49 AM and 7:14 AM?
25
How many minutes are there between 1:47 A | {
"pile_set_name": "DM Mathematics"
} |
*t - 25
What is the c'th term of -1213, -5844, -13885, -25342, -40221, -58528, -80269?
-c**3 - 1699*c**2 + 473*c + 14
What is the i'th term of 3176, 3240, 3346, 3494?
21*i**2 + i + 3154
What is the b'th term of -5809, -11599, -17391, -23185, -28981?
-b**2 - 5787*b - 21
What is the j'th term of -34133, -34131, -34125, -34115, -34101, -34083?
2*j**2 - 4*j - 34131
What is the c'th term of 6368, 12746, 19124, 25502?
6378*c - 10
What is the l'th term of -8469, -33877, -76223, -135507, -211729, -304889?
-8469*l**2 - l + 1
What is the d'th term of -205, -450, -699, -952, -1209?
-2*d**2 - 239*d + 36
What is the f'th term of -5556, -10645, -15734, -20823?
-5089*f - 467
What is the a'th term of 3370, 6716, 10062?
3346*a + 24
What is the i'th term of 81106, 162213, 243320, 324427, 405534?
81107*i - 1
What is the n'th term of 21157, 42316, 63475, 84634?
21159*n - 2
What is the t'th term of 28, 106, 236, 418, 652, 938, 1276?
26*t**2 + 2
What is the k'th term of -27254, -54536, -81848, -109190?
-15*k**2 - 27237*k - 2
What is the i'th term of 48288, 48312, 48322, 48312, 48276?
-i**3 - i**2 + 34*i + 48256
What is the p'th term of -28550, -28551, -28560, -28583, -28626, -28695, -28796?
-p**3 + 2*p**2 - 28551
What is the s'th term of -422, -434, -454, -482, -518, -562?
-4*s**2 - 418
What is the x'th term of 1761, 1784, 1857, 2004, 2249?
4*x**3 + x**2 - 8*x + 1764
What is the w'th term of -17034, -17068, -17126, -17208, -17314, -17444?
-12*w**2 + 2*w - 17024
What is the w'th term of -1190, -2636, -4082, -5528?
-1446*w + 256
What is the m'th term of -18, 110, 396, 840, 1442, 2202?
79*m**2 - 109*m + 12
What is the c'th term of 53, 39, 45, 95, 213, 423?
4*c**3 - 14*c**2 + 63
What is the p'th term of 572925, 1145850, 1718775?
572925*p
What is the u'th term of 159, 188, 213, 234?
-2*u**2 + 35*u + 126
What is the s'th term of 10109, 10109, 10119, 10145, 10193, 10269, 10379?
s**3 - s**2 - 4*s + 10113
What is the o'th term of -2011, -2012, -2007, -1990, -1955, -1896, -1807?
o**3 - 3*o**2 + o - 2010
What is the s'th term of 5867, 23473, 52815, 93893, 146707?
5868*s**2 + 2*s - 3
What is the c'th term of 6004615, 6004614, 6004613?
-c + 6004616
What is the c'th term of 202, 263, 396, 637, 1022?
6*c**3 + 19*c + 177
What is the x'th term of -29, -1, 111, 361, 803?
9*x**3 - 12*x**2 + x - 27
What is the r'th term of -1618, -3174, -4738, -6316, -7914, -9538?
-r**3 + 2*r**2 - 1555*r - 64
What is the a'th term of 78853, 157707, 236561, 315415, 394269?
78854*a - 1
What is the a'th term of 1123, 2269, 3415, 4561, 5707, 6853?
1146*a - 23
What is the o'th term of -227, -443, -649, -845?
5*o**2 - 231*o - 1
What is the o'th term of -3103902, -6207805, -9311708?
-3103903*o + 1
What is the r'th term of 54362, 54361, 54360?
-r + 54363
What is the d'th term of 232602, 232588, 232564, 232524, 232462, 232372?
-d**3 + d**2 - 10*d + 232612
What is the p'th term of 28384, 28380, 28376, 28372?
-4*p + 28388
What is the d'th term of -2627, -5223, -7797, -10337, -12831, -15267?
2*d**3 - d**2 - 2607*d - 21
What is the o'th term of -4103, -4119, -4143, -4175, -4215?
-4*o**2 - 4*o - 4095
What is the b'th term of -11345, -22744, -34203, -45728, -57325, -69000, -80759?
-b**3 - 24*b**2 - 11320*b
What is the h'th term of 4150, 4208, 4296, 4408, 4538, 4680?
-h**3 + 21*h**2 + 2*h + 4128
What is the z'th term of 1811, 1772, 1733, 1694, 1655, 1616?
-39*z + 1850
What is the o'th term of 694648, 694656, 694664?
8*o + 694640
What is the g'th term of -32373, -64748, -97123?
-32375*g + 2
What is the s'th term of -179890, -179888, -179890, -179896?
-2*s**2 + 8*s - 179896
What is the p'th term of 2929, 11744, 26439, 47014, 73469, 105804, 144019?
2940*p**2 - 5*p - 6
What is the b'th term of 114, 489, 1116, 1989, 3102, 4449?
-b**3 + 132*b**2 - 14*b - 3
What is the s'th term of -43413, -43360, -43271, -43146, -42985?
18*s**2 - s - 43430
What is the b'th term of -4089, -8168, -12245, -16320, -20393, -24464, -28533?
b**2 - 4082*b - 8
What is the q'th term of 29455, 29456, 29457, 29458, 29459?
q + 29454
What is the d'th term of -120, -217, -388, -639, -976, -1405?
-d**3 - 31*d**2 + 3*d - 91
What is the y'th term of -5785, -5754, -5703, -5632, -5541, -5430?
10*y**2 + y - 5796
What is the i'th term of 6648, 26590, 59826, 106356, 166180, 239298?
6647*i**2 + i
What is the l'th term of -164610, -164612, -164614, -164616?
-2*l - 164608
What is the r'th term of -253, -223, -183, -127, -49, 57, 197?
r**3 - r**2 + 26*r - 279
What is the r'th term of -61, -235, -555, -1045, -1729, -2631, -3775, -5185?
-4*r**3 - 49*r**2 + r - 9
What is the m'th term of -24951, -24945, -24937, -24927, -24915, -24901, -24885?
m**2 + 3*m - 24955
What is the f'th term of -582914, -1165828, -1748742?
-582914*f
What is the h'th term of 5938, 5889, 5828, 5749, 5646?
-h**3 - 42*h + 5981
What is the m'th term of 754971, 1509940, 2264909, 3019878, 3774847?
754969*m + 2
What is the y'th term of 741, 5650, 18973, 44916, 87685, 151486, 240525?
701*y**3 + y**2 - y + 40
What is the u'th term of -54, -62, -66, -72, -86, -114, -162?
-u**3 + 8*u**2 - 25*u - 36
What is the s'th term of 1451, 1464, 1485, 1514?
4*s**2 + s + 1446
What is the s'th term of 13454, 13463, 13472?
9*s + 13445
What is the d'th term of -29308, -58618, -87928, -117238, -146548?
-29310*d + 2
What is the m'th term of -59406, -118814, -178222, -237630, -297038, -356446?
-59408*m + 2
What is the y'th term of 198, 622, 1328, 2316, 3586, 5138, 6972?
141*y**2 + y + 56
What is the l'th term of -583, -1531, -2859, -4573, -6679, -9183, -12091, -15409?
-l**3 - 184*l**2 - 389*l - 9
What is the m'th term of -625809, -625815, -625833, -625869, -625929?
-m**3 + m - 625809
What is the o'th term of 1651, 3161, 4517, 5713, 6743?
-o**3 - 71*o**2 + 1730*o - 7
What is the y'th term of -300, -865, -1682, -2757, -4096, -5705, -7590, -9757?
-y**3 - 120*y**2 - 198*y + 19
What is the k'th term of -404, -1807, -4146, -7421, -11632?
-468*k**2 + k + 63
What is the j'th term of 974606, 1949204, 2923800, 3898394, 4872986, 5847576, 6822164?
-j**2 + 974601*j + 6
What is the m'th term of -235291, -470574, -705857?
-235283*m - 8
What is the p'th term of 354397, 708799, 1063201, 1417603, 1772005, 2126407?
354402*p - 5
What is the a'th term of 229, 471, 809, 1297, 1989, 2939, 4201?
9*a**3 - 6*a**2 + 197*a + 29
What is the k'th term of -1092, -2210, -3328, -4446?
-1118*k + 26
What is the z'th term of -377, -368, -351, -326, -293, -252?
4*z**2 - 3*z - 378
What is the h'th term of -13645, -13726, -13807, -13888?
-81*h - 13564
What is the k'th term of 35, 190, 501, 1010, 1759, 2790?
7*k**3 + 36*k**2 - 2*k - 6
What is the f'th term of -487, -585, -749, -979, -1275, -1637, -2065?
-33*f**2 + f - 455
What is the n'th term of 23, 12, -35, -136, -309, -572, -943?
-3*n**3 + 10*n + 16
What is the a'th term of 3562, 3507, 3454, 3403, 3354, 3307?
a**2 - 58*a + 3619
What is the q'th term of -156, -192, -278, -438, -696?
-4*q**3 - q**2 - 5*q - 146
What is the n'th term of 120820, 120788, 120734, 120658, 120560?
-11*n**2 + n + 120830
What is the z'th term of 5966, 5956, 5932, 5888, 5818?
-z**3 - z**2 + 5968
What is the a'th term of 2469, 4938, 7407, 9876, 12345, 14814?
2469*a
What is the h'th term of -1177709, -1177691, -1177653, -1177589, -1177493?
h**3 + 4*h**2 - h - 1177713
What is the t'th term of 291711, 583429, 875147, 1166865, 1458583?
291718*t - 7
What is the o'th term of 3425, 3444, 3507, 3638, 3861, 4200?
4*o**3 - 2*o**2 - 3*o + 3426
What is the a'th term of 2803, 2848, 2909, 2992, 3103, 3248?
a**3 + 2*a**2 + 32*a + 2768
What is the m'th term of 175127, 350250, 525373, 700496, 875619?
175123*m + 4
What is the p'th term of -5769, -23105, -51999, -92451, -144461, -208029, -283155?
-5779*p**2 + p + 9
What is the k'th term of 320, 663, 1022, 1403, 1812, 2255, 2738?
k**3 + 2*k**2 + 330*k - 13
What is the c'th term of 279, 659, 1137, 1707, 2363, 3099, 3909?
-c**3 + 55*c**2 + 222*c + 3
What is the c'th term of 58579, 58571, 58549, 58507, 58439, 58339?
-c**3 - c**2 + 2*c + 58579
What is the q'th term of 923, 990, 1153, 1460, 1959, 2698, 3725, 5088?
8*q**3 + 11*q + 904
What is the l'th term of -3087, -6187, -9301, -12435, -15595?
-l**3 - l**2 - 3090*l + 5
What is the m'th term of -323562, -647126, -970690, -1294254, -1617818, -1941382?
-323564* | {
"pile_set_name": "DM Mathematics"
} |
letters picked without replacement from ppppapjpjpjjajapj.
12/85
Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {m: 1, j: 1, w: 2, a: 1, e: 2}.
2/21
What is prob of picking 1 q and 3 r when four letters picked without replacement from {s: 4, e: 2, q: 1, r: 8}?
8/195
Two letters picked without replacement from tqagtigtaagigig. What is prob of picking 2 i?
1/35
Calculate prob of picking 2 c and 1 z when three letters picked without replacement from {d: 1, w: 1, y: 1, c: 2, z: 3, e: 5}.
3/286
Calculate prob of picking 1 l and 2 q when three letters picked without replacement from zlzfrqrffqrlzl.
3/364
Calculate prob of picking 1 h and 1 w when two letters picked without replacement from wwwwwwwwwhww.
1/6
What is prob of picking 1 p and 1 i when two letters picked without replacement from {r: 10, x: 1, i: 2, p: 7}?
7/95
Calculate prob of picking 1 z, 1 k, 1 o, and 1 b when four letters picked without replacement from {k: 2, i: 3, z: 6, o: 2, b: 2, j: 2}.
12/595
Two letters picked without replacement from {a: 2, y: 4}. What is prob of picking 1 a and 1 y?
8/15
What is prob of picking 2 v when two letters picked without replacement from {u: 7, l: 1, v: 6}?
15/91
Two letters picked without replacement from {k: 1, e: 1, r: 4, z: 8, o: 1, s: 1}. What is prob of picking 1 s and 1 e?
1/120
Two letters picked without replacement from jbqbbqhjhjhjjhhjj. Give prob of picking 2 q.
1/136
Calculate prob of picking 2 m and 1 k when three letters picked without replacement from {m: 2, k: 3, h: 7, a: 1, v: 1}.
3/364
Four letters picked without replacement from aaaaaa. What is prob of picking 4 a?
1
What is prob of picking 2 x when two letters picked without replacement from xmfx?
1/6
Three letters picked without replacement from mzuzmuzzumzuum. What is prob of picking 3 u?
5/182
What is prob of picking 3 h and 1 g when four letters picked without replacement from mmkmsghgggsjkgsggk?
0
Calculate prob of picking 1 j, 1 i, and 2 b when four letters picked without replacement from ibjjjbijjiijiijjb.
36/595
Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {b: 2, p: 6, d: 2, i: 3, u: 1}.
12/91
Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, o: 8, h: 5, v: 1}.
1/120
Two letters picked without replacement from {u: 1, a: 1, s: 2, g: 2, w: 5, b: 2}. What is prob of picking 1 w and 1 u?
5/78
Four letters picked without replacement from onsoonncnto. Give prob of picking 1 n and 3 o.
8/165
Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {h: 3, q: 1, r: 1, i: 1, p: 1}.
1/21
Calculate prob of picking 1 c and 1 u when two letters picked without replacement from lkkuubkkuluubkcuuu.
8/153
Two letters picked without replacement from {z: 7, w: 4, f: 5}. What is prob of picking 2 z?
7/40
Calculate prob of picking 1 d and 2 h when three letters picked without replacement from bbtbuudbbbdbhbdbbhbb.
1/380
What is prob of picking 2 s and 2 l when four letters picked without replacement from {s: 3, l: 5, e: 1}?
5/21
What is prob of picking 1 k, 1 d, and 1 w when three letters picked without replacement from {d: 2, w: 1, k: 1, y: 5}?
1/42
What is prob of picking 2 m and 2 p when four letters picked without replacement from mmpmmmmmmmmmpmmmmm?
2/51
Two letters picked without replacement from {x: 2, b: 1, w: 4, y: 3, q: 2}. What is prob of picking 1 b and 1 w?
2/33
Calculate prob of picking 3 t and 1 d when four letters picked without replacement from ddtdttdttd.
5/21
Three letters picked without replacement from bvvvvbvbvvvvbbvvvvv. Give prob of picking 2 v and 1 b.
455/969
Three letters picked without replacement from diiidriirrddi. What is prob of picking 2 r and 1 i?
9/143
What is prob of picking 2 l when two letters picked without replacement from lvtalaxlvlllav?
15/91
Two letters picked without replacement from arrxxaxxr. Give prob of picking 2 r.
1/12
What is prob of picking 1 l and 1 p when two letters picked without replacement from ppdptplt?
1/7
Three letters picked without replacement from {f: 2, p: 1, x: 1, d: 1}. What is prob of picking 1 d, 1 x, and 1 p?
1/10
Calculate prob of picking 2 h when two letters picked without replacement from {y: 1, h: 11}.
5/6
Two letters picked without replacement from {q: 12, w: 3}. Give prob of picking 2 w.
1/35
Two letters picked without replacement from cwhxcpczccwhzxwwc. What is prob of picking 1 p and 1 x?
1/68
What is prob of picking 2 k, 1 z, and 1 r when four letters picked without replacement from {k: 2, z: 7, r: 3, m: 5, d: 3}?
7/1615
Four letters picked without replacement from {n: 2, y: 4, j: 1, e: 2, z: 3}. Give prob of picking 1 z and 3 y.
4/165
Two letters picked without replacement from {j: 4, z: 1, p: 3, l: 1, c: 4, q: 2}. What is prob of picking 1 c and 1 p?
4/35
Two letters picked without replacement from {z: 2, k: 5}. What is prob of picking 2 z?
1/21
What is prob of picking 1 y and 1 v when two letters picked without replacement from {t: 2, u: 2, v: 4, y: 3}?
12/55
What is prob of picking 1 g and 2 t when three letters picked without replacement from {i: 1, g: 1, t: 5, n: 4}?
2/33
What is prob of picking 1 v, 1 e, and 2 c when four letters picked without replacement from pwcppppcppwpepvpjppp?
1/4845
What is prob of picking 1 x and 1 w when two letters picked without replacement from qguqgweuuexuux?
2/91
What is prob of picking 2 v when two letters picked without replacement from vvvbb?
3/10
Two letters picked without replacement from cclccclccccccclccccc. Give prob of picking 1 l and 1 c.
51/190
Calculate prob of picking 2 e when two letters picked without replacement from llleecclecl.
3/55
Calculate prob of picking 1 a and 1 q when two letters picked without replacement from rrjqrrrrurrrrrua.
1/120
Two letters picked without replacement from {t: 3, a: 4, c: 1, y: 2, x: 1}. Give prob of picking 1 x and 1 a.
4/55
Calculate prob of picking 3 a and 1 o when four letters picked without replacement from {a: 5, o: 4, c: 1, r: 1}.
4/33
What is prob of picking 3 i when three letters picked without replacement from {i: 16, q: 2}?
35/51
Three letters picked without replacement from yjcyyjj. What is prob of picking 2 j and 1 y?
9/35
Four letters picked without replacement from {g: 3, l: 2, v: 1, p: 3, i: 1, e: 2}. What is prob of picking 1 i, 1 p, and 2 g?
1/55
What is prob of picking 1 m, 2 l, and 1 u when four letters picked without replacement from lmllululllllm?
144/715
Two letters picked without replacement from {c: 5, o: 8}. Give prob of picking 2 c.
5/39
Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {w: 1, t: 1, u: 1, i: 2, g: 2}.
1/21
What is prob of picking 2 k and 1 s when three letters picked without replacement from {k: 2, s: 2}?
1/2
Calculate prob of picking 1 v and 3 x when four letters picked without replacement from uvvvvxwrvxwxrv.
6/1001
Calculate prob of picking 1 k, 1 p, and 1 i when three letters picked without replacement from {i: 2, p: 5, k: 8}.
16/91
Three letters picked without replacement from {a: 2, m: 5}. What is prob of picking 1 a and 2 m?
4/7
Calculate prob of picking 1 n, 1 t, and 1 p when three letters picked without replacement from ettpeeetntpptt.
9/182
What is prob of picking 2 s when two letters picked without replacement from sjjsssnn?
3/14
Calculate prob of picking 1 k and 1 g when two letters picked without replacement from egtlk.
1/10
Three letters picked without replacement from {r: 11, f: 1, k: 1, n: 6}. Give prob of picking 1 r, 1 f, and 1 n.
22/323
What is prob of picking 2 o when two letters picked without replacement from rrrkookkrr?
1/45
What is prob of picking 1 v and 1 p when two letters picked without replacement from {p: 2, v: 3}?
3/5
What is prob of picking 1 l and 1 v when two letters picked without replacement from llavlalllllllllllall?
8/95
What is prob of picking 1 x, 1 w, 1 d, and 1 t when four letters picked without replacement from {l: 1, d: 2, x: 6, t: 4, w: 1, m: 1}?
16/455
Two letters picked without replacement from {l: 1, i: 1, m: 1}. Give prob of picking 2 m.
0
Two letters picked without replacement from ibxxb. Give prob of picking 2 b.
1/10
Calculate prob of picking 1 c and 1 | {
"pile_set_name": "DM Mathematics"
} |
e
Is 1216 a multiple of 8?
True
Does 4 divide 658?
False
Does 16 divide 5769?
False
Does 27 divide 3942?
True
Is 14 a factor of 3416?
True
Does 12 divide 2544?
True
Is 2 a factor of 132?
True
Is 400 a multiple of 9?
False
Is 4600 a multiple of 5?
True
Is 20 a factor of 24788?
False
Is 1768 a multiple of 8?
True
Is 17 a factor of 3322?
False
Does 15 divide 19965?
True
Is 3534 a multiple of 31?
True
Is 1817 a multiple of 5?
False
Is 2091 a multiple of 39?
False
Does 4 divide 870?
False
Is 19 a factor of 2207?
False
Does 96 divide 4992?
True
Is 267 a multiple of 50?
False
Is 726 a multiple of 3?
True
Does 43 divide 1655?
False
Is 11862 a multiple of 109?
False
Does 11 divide 90524?
False
Is 63 a factor of 524?
False
Is 231 a multiple of 77?
True
Is 638 a multiple of 17?
False
Is 1976 a multiple of 49?
False
Is 3079 a multiple of 22?
False
Is 20 a factor of 20?
True
Is 5 a factor of 1526?
False
Is 7128 a multiple of 33?
True
Does 23 divide 446?
False
Is 353 a multiple of 10?
False
Is 103 a factor of 1016?
False
Is 6 a factor of 7123?
False
Is 32831 a multiple of 174?
False
Is 60 a multiple of 12?
True
Does 21 divide 52332?
True
Is 5166 a multiple of 21?
True
Does 11 divide 34276?
True
Does 33 divide 2961?
False
Is 2422 a multiple of 7?
True
Is 27 a factor of 77652?
True
Does 23 divide 246?
False
Is 11943 a multiple of 75?
False
Is 157 a factor of 50947?
False
Is 6 a factor of 10842?
True
Does 22 divide 282?
False
Is 3514 a multiple of 54?
False
Does 19 divide 3819?
True
Is 15 a multiple of 9?
False
Is 1248 a multiple of 52?
True
Is 13 a factor of 2079?
False
Does 15 divide 11190?
True
Is 19 a factor of 300?
False
Is 8128 a multiple of 30?
False
Is 2306 a multiple of 17?
False
Does 63 divide 441?
True
Does 75 divide 15600?
True
Does 17 divide 6851?
True
Is 948 a multiple of 79?
True
Is 6412 a multiple of 16?
False
Is 6 a factor of 42?
True
Is 12 a factor of 610?
False
Does 10 divide 860?
True
Is 15 a factor of 1055?
False
Does 112 divide 3472?
True
Is 29520 a multiple of 18?
True
Is 19 a factor of 1463?
True
Is 11468 a multiple of 77?
False
Is 9 a factor of 1954?
False
Does 7 divide 741?
False
Is 10 a factor of 1543?
False
Does 10 divide 4840?
True
Does 92 divide 575?
False
Is 126 a multiple of 6?
True
Is 9010 a multiple of 106?
True
Is 150 a factor of 14223?
False
Is 62 a factor of 2200?
False
Is 2437 a multiple of 11?
False
Is 6132 a multiple of 47?
False
Is 8 a factor of 9384?
True
Is 270 a multiple of 30?
True
Is 11 a factor of 65380?
False
Does 12 divide 4064?
False
Does 12 divide 564?
True
Does 32 divide 256?
True
Is 8 a factor of 266?
False
Does 77 divide 3183?
False
Is 32 a factor of 31904?
True
Does 61 divide 9821?
True
Is 17940 a multiple of 69?
True
Does 16 divide 1568?
True
Is 3168 a multiple of 3?
True
Does 8 divide 15976?
True
Is 34 a factor of 6375?
False
Is 1825 a multiple of 3?
False
Is 533 a multiple of 41?
True
Is 45 a multiple of 6?
False
Does 28 divide 1114?
False
Is 24 a factor of 3768?
True
Is 570 a multiple of 12?
False
Does 23 divide 1725?
True
Does 28 divide 1400?
True
Is 64 a factor of 3057?
False
Is 11 a factor of 7256?
False
Does 25 divide 1408?
False
Is 9 a factor of 5310?
True
Does 128 divide 11776?
True
Is 47 a factor of 611?
True
Is 2 a factor of 127?
False
Is 12 a factor of 4728?
True
Does 44 divide 1161?
False
Is 25 a multiple of 25?
True
Is 10 a factor of 13019?
False
Is 1690 a multiple of 5?
True
Does 26 divide 2106?
True
Is 15 a factor of 155?
False
Is 2320 a multiple of 10?
True
Does 35 divide 11468?
False
Does 15 divide 3404?
False
Does 23 divide 5925?
False
Is 3800 a multiple of 10?
True
Is 30 a factor of 5190?
True
Is 1815 a multiple of 55?
True
Is 76 a factor of 46664?
True
Is 350 a multiple of 14?
True
Is 57025 a multiple of 185?
False
Is 2516 a multiple of 74?
True
Is 13 a factor of 80821?
True
Does 7 divide 112?
True
Is 87 even?
False
Is 7 a factor of 1407?
True
Is 2 a factor of 12?
True
Is 34 a factor of 7403?
False
Is 10 a factor of 15058?
False
Is 2058 a multiple of 21?
True
Is 47 a factor of 423?
True
Is 64 a factor of 7590?
False
Is 17 a factor of 21680?
False
Is 413 a factor of 74340?
True
Is 21 a factor of 3086?
False
Is 14 a factor of 34611?
False
Is 748 a multiple of 34?
True
Is 31 a factor of 8656?
False
Does 9 divide 13071?
False
Is 2865 a multiple of 69?
False
Does 23 divide 4117?
True
Is 53047 a multiple of 27?
False
Is 17312 a multiple of 57?
False
Does 9 divide 26676?
True
Is 45 a factor of 20880?
True
Is 110 a factor of 5510?
False
Does 19 divide 2527?
True
Is 55 a factor of 2145?
True
Does 22 divide 16258?
True
Is 122 a multiple of 12?
False
Does 16 divide 8315?
False
Does 28 divide 3220?
True
Does 31 divide 3283?
False
Is 7 a factor of 1794?
False
Is 6 a factor of 1070?
False
Does 19 divide 261?
False
Is 4092 a multiple of 12?
True
Is 213 a multiple of 3?
True
Is 13 a factor of 2080?
True
Does 114 divide 2566?
False
Is 3 a factor of 186?
True
Is 9302 a multiple of 62?
False
Is 705 a multiple of 14?
False
Is 18 a factor of 3960?
True
Is 10 a factor of 52018?
False
Is 11 a factor of 165?
True
Is 6 a factor of 1236?
True
Is 5886 a multiple of 34?
False
Is 662 a multiple of 52?
False
Is 2 a factor of 42?
True
Is 15 a factor of 20022?
False
Is 647 a multiple of 3?
False
Does 190 divide 40514?
False
Is 31999 a multiple of 198?
False
Is 2794 a multiple of 22?
True
Is 15 a factor of 435?
True
Is 10 a factor of 410?
True
Does 4 divide 5590?
False
Is 12 a factor of 4654?
False
Does 72 divide 23005?
False
Is 37 a factor of 1221?
True
Is 27 a multiple of 5?
False
Is 11 a factor of 448?
False
Does 375 divide 84562?
False
Is 6 a factor of 618?
True
Is 4 a factor of 472?
True
Is 2009 a multiple of 7?
True
Is 1275 a multiple of 15?
True
Is 4301 a multiple of 11?
True
Is 54648 a multiple of 396?
True
Does 6 divide 1907?
False
Is 354 a multiple of 11?
False
Is 219 a factor of 7459?
False
Is 3398 a multiple of 189?
False
Is 22882 a multiple of 30?
False
Does 45 divide 11098?
False
Is 46 a factor of 2007?
False
Is 12 a factor of 23676?
True
Does 23 divide 138?
True
Is 160 a factor of 2344?
False
Is 5 a factor of 19?
False
Does 30 divide 570?
True
Is 71 a factor of 2698?
True
Does 48 divide 3840?
True
Is 2849 a multiple of 110?
False
Is 15 a factor of 1185?
True
Is 31 a multiple of 2?
False
Is 7242 a multiple of 8?
False
Is 1586 a multiple of 13?
True
Is 3827 a multiple of 131?
False
Is 26 a factor of 1430?
True
Is 2 a factor of 1415?
False
Is 4133 a multiple of 6?
False
Is 191 a factor of 9531?
False
Is 46 a factor of 8151?
False
Is 75 a factor of 22800?
True
Does 6 divide 702?
True
Is 18 a factor of 1372?
False
Is 92 a factor of 671?
False
Does 13 divide 6684?
False
Does 6 divide 570?
True
Does 6 divide 120?
True
Does 9 divide 17234?
False
Is 68 a factor of 249?
False
Is 106 a factor of 11024?
True
Is 29704 a multiple of 188?
True
Is 428 a multiple of 4?
True
Is 48 a factor of 588?
False
Is 253 a multiple of 79?
False
Does 13 divide 4924?
False
Is 23100 a multiple of 3?
True
Does 22 divide 30166?
False
Is 17562 a multiple of 37?
False
Is 3 a factor of 994?
False
Does 83 divide 1494?
True
Is 6450 a multiple of 43?
True
Is 6453 a multiple of 26?
False
Is 9 a factor of 215?
False
Is 8508 a multiple of 12?
True
Does 7 divide 21602?
True
Is 9 a factor of 4113?
True
Is 48 a factor of 1920?
True
Is 28 a factor of 700?
True
Does 7 divide 5412?
False
Does 13 divide 309?
False
Is 1892 a multiple of 11?
True
Is 11 a factor of 48599?
False
Is 706 a multiple of 47?
False
Is 692 a multiple of 69?
False
Is 6 a factor of 582?
True
Is 870 a multiple of 30?
True
Is 80 a factor of 6960?
True
Is 110 a factor of 63634?
False
Does 19 divide 662?
False
Does 205 divide 12915?
True
Is 84 a factor of 65184?
True
Is 13500 a multiple of 90?
True
Does 3 divide 1351?
False
Does 14 divide 5012?
True
Does 10 divide 650?
True
Does 19 divide 957?
False
Does 19 divide 18620?
True
Is 29 a factor of 14692?
False
Is 123 a factor of 68941?
False
Does 93 divide 18693?
True
Is 66 a factor of 1552?
False
Is 394 a multiple of 8?
False
Is 162 a multiple of 18?
True
Is 40201 a multiple of 230?
False
Does 37 divide 2290?
False
Is 39645 a multiple of 157?
False
Does 17 divide 578?
True
Does 14 divide 392?
True
Does 84 divide 672?
True
Does 17 di | {
"pile_set_name": "DM Mathematics"
} |
.
-1
Let j = 16 + -12. Suppose 2*p - 68 = -4*n, 3*p - 42 = -j*n + 66. Suppose 7*o = 3*o + p. Solve 3*k = -2*k + o for k.
2
Suppose -9*k = -7*k - 14. Solve -47 + 12 = k*j for j.
-5
Let u be 6/(-2) + 1 + 21/7. Let j be ((-5)/(-10)*-1)/(u/(-6)). Solve -5*w - 23 = -j for w.
-4
Let u be 2/(-5)*(-12 - 38). Suppose 0 = 5*j + u - 35. Solve j = g + 2 for g.
1
Suppose d - 2 = -4. Let l be d + (1 - 3 - -4). Let j be -1 + -3*2*-1. Solve 0 = -l*s + s + j for s.
-5
Suppose -24 + 37 = i. Solve -6*s - 14 = -i*s for s.
2
Let j(v) = -216*v + 59. Let b be j(0). Solve -p - 54 + b = 0 for p.
5
Let f be -2*(-5)/((-20)/(-6)). Suppose -f*b - 16 = -11*b. Let t be (-85)/(-15) + (-2)/3. Solve 0 = -t*w - b - 8 for w.
-2
Let g(v) = -10 - 2 - 4 - 2*v. Let j be g(-11). Solve j + 6 = 4*z for z.
3
Let h = -2756 - -2761. Solve -h*r - r = 0 for r.
0
Let o(y) = -8*y**2. Let z be o(-1). Let l(r) be the first derivative of r**3/3 + 4*r**2 + 2*r - 9. Let p be l(z). Solve -5*f - 17 = -p for f.
-3
Let k be (24/15)/(1/10). Suppose -4*o + 4*d = -k, -5*o - 2*d - 1 = -0. Suppose -4*n - 3*h + 10 = o, 15 = 4*n - 3*h. Solve n*s - 1 = -4 for s.
-1
Let y = -6 - -2. Let c = -1 - y. Solve 5*q + c = -22 for q.
-5
Let d = 12 - 7. Let h be 0 + 1 - -18 - -1. Suppose h = 3*f + f. Solve d*k - 30 = -f for k.
5
Let l be (-6)/(-15) + (-115)/(-25). Solve l*f - 1 = 14 for f.
3
Let j = 25 - -39. Let f = j - 59. Let l = -11 + 15. Solve f*m + l = -1 for m.
-1
Suppose -m - 2*m = -3. Suppose 0 = -4*n - m + 5. Let q be (-10 - -10)/(n*-1). Solve 2*j + j = q for j.
0
Let c be (9 + (-830)/90)/((-2)/234). Solve -23*q + 3 = -c*q for q.
-1
Suppose 2*u - 11 = -n + 4*u, 2*n + 14 = -5*u. Suppose q = -n + 12. Suppose 3*a + 0 = q. Solve -s = 2*s - a for s.
1
Suppose -2*s + 100 = 18*s. Solve -7*x = -s*x - 4 for x.
2
Suppose 31*k = 6*k + 75. Let x(m) = -6*m**2 + 20*m - 5. Let o be x(k). Suppose 0*p = -p. Solve -i + p*i = o for i.
-1
Suppose 2*b + 0 = 2. Let q be (-5 + 5)*b/2. Solve -3 = -i - q*i for i.
3
Let q(d) = -d**2 + 35*d - 63. Let h be q(33). Solve h*c + 3*c + 30 = 0 for c.
-5
Let y be 28 + 14/((1 + 0)*-2). Solve 3*j - 9 + y = 0 for j.
-4
Suppose 4*k - 3*k = 3. Suppose w - o - 2*o - 18 = 0, 2*w = 3*o + 21. Let x be 21/(-105) + ((-1)/5)/(-1). Solve -w*f - k = -x*f for f.
-1
Suppose -180 = 3*k + 15*k. Let z(x) = -x**2 - 8*x + 24. Let l be z(k). Solve -2*m + l = -m for m.
4
Let z = 77 - 73. Suppose z = q + f, q - 3*f + 24 = 6*q. Solve -3 = -3*g + q*g for g.
-1
Let n(u) = -2*u**3 - 6*u**2 - 2*u - 2. Let f be n(-3). Suppose -3*o - 5*y + 31 = 0, f*o + 4*y - 7 - 21 = 0. Solve 5 = -o*k + 3*k for k.
5
Suppose y - 5 = 3*c - 4*c, -5*c - 2 = -4*y. Let o = 291 + -286. Solve y = -4*h - o for h.
-2
Let t = -953 - -965. Solve t = -d - 3*d for d.
-3
Let f(k) = -16*k + 90. Let q be f(5). Let g(j) = 19*j**2 + 1. Let r be g(-1). Solve q*n - r = 5*n for n.
4
Let y(v) = 55*v - 271. Let o be y(5). Suppose -2*s + 12 = -5*w, -17 - 31 = -4*s + 4*w. Solve -s - o = -4*z for z.
5
Let g(l) be the first derivative of 11*l**3/3 - l**2/2 - 2*l + 17. Let v be g(-1). Let r = 2 - 2. Solve v = 2*t - r*t for t.
5
Suppose -777*q = -780*q + 18. Solve q*x = -x + 21 for x.
3
Let j be (-10)/(-6) + -8*(-12)/(-144). Let l be -1*(0/(-2) - 2). Let m be 3 - (1 - 0) - -1. Solve l + j = -m*u for u.
-1
Suppose 357 = t + 351. Solve t*y + 33 = 27 for y.
-1
Suppose -3*g - 24 = -5*g. Let n = 471 - 469. Solve 0 = -f - n*f + g for f.
4
Suppose 0 = -2*r + 3 + 1. Let u(y) = 6*y**2 + 46*y - 11. Let c be u(-8). Solve 7 = -c*z + r for z.
-1
Let w be (-22 - 0)*(-1)/2. Let a = 26 + -24. Solve -w = 3*d - a for d.
-3
Suppose -5*t - 41 - 34 = 0. Let c = 15 + t. Suppose c = -0*x + 3*x. Solve x*h = -2*h - 6 for h.
-3
Let s(b) = -b**3 + 15*b**2 - b + 13. Let q be s(15). Let z = q + 10. Solve 3*f + z = -f for f.
-2
Let f(x) = -x**3 - 9*x**2 + x + 1. Let u be f(-9). Let p be u - -4 - -1*7. Suppose -p = a - 12. Solve a - 1 = 2*k for k.
4
Let x = 284 - 283. Solve 0 = -w + x + 3 for w.
4
Let r be ((-4)/6)/(4/(-6)). Let m be (-16)/(-3) - ((-348)/36 + 11). Solve m*j + r = 21 for j.
5
Let n(g) be the third derivative of g**6/120 - g**5/15 + g**4/24 + g**3 - 5*g**2. Let m be n(4). Solve -m = -j - j for j.
5
Let m be 55/(((-3)/(-6))/(-8 - -7)). Let g = m - -113. Solve -g*k = k for k.
0
Suppose 20 + 52 = x. Let p be x/27 + (-1)/(-3). Solve f + 8 = -p*f for f.
-2
Let c = -409 + 411. Solve 4 = c*p + 12 for p.
-4
Let a be 1/(-3) + 25/3. Suppose -18 = 3*g - 180. Suppose -45*y = -g*y + 72. Solve -4*w + a = -y for w.
4
Let q(t) = 84*t + 178. Let o be q(-2). Solve -o*w - 84 = 11*w for w.
-4
Suppose -2*h - 5*p + 3 = 0, 10*h - 2*p - 51 = 5*h. Solve 14*m = h*m + 5 for m.
1
Let h = -16 + 18. Suppose h*d = -5*d. Solve 2*s = -d*s for s.
0
Let m be 300/90*((-36)/5)/(-2). Suppose 3*z - 3*b - 40 = b, -b - m = -z. Solve 0 = y + y + z for y.
-4
Suppose s = -2*d - 4*s + 22, -5*d = 3*s - 17. Suppose 0 = 41*j - 53 - 29. Solve j*r = 3*r - d for r.
1
Let c = 21 - 27. Let u(o) = -2*o**2 - 7*o + 11. Let j be u(c). Let z = 23 + j. Solve z*d + 6 = 2 for d.
-1
Let f = -63 - -65. Solve -v + f*v = 4 for v.
4
Let v be (-76)/(-20) - (-3)/(-30)*-2. Solve -f + v*f = 0 for f.
0
Let z(b) = -b**2 + 11*b - 22. Let v be (7/(140/(-48)))/(6/(-20)). Let l be z(v). Solve -h + 6 = l*h for h.
2
Let g = -216 + 220. Solve 7*i - g*i = 6 for i.
2
Suppose -7*l = -3*l - 5*p - 44, p = -4*l + 20. Suppose -l*w + 137 = 17. Solve -7*b + 3*b = w for b.
-5
Let g(u) = -u**3 - u**2 + u + 14. Let i be -3 + 1 - (-1 + -1). Let o be g(i). Let j(n) = n**3 - 14*n**2 + n - 2. Let z be j(o). Solve -p = 3*p + z for p.
-3
Suppose c - 3*l - 3 = -l, -5*c + l = -24. Suppose 0 = -g + 5*p - c, -g + 0*g - 2*p + 2 = 0. Solve g = n + n for n.
0
Let b(s) = s - 20. Let y be b(19). Let q be 28/(-7)*y/2. Solve 3*u = -q*u for u.
0
Suppose -51*f = -4673 + 848. Solve 0 = -y + 16*y + f for y.
-5
Let r = 18 - 10. Suppose c + c - r = 0. Let u be (2/4)/(c/16). Solve 3 = n + u*n for n.
1
Suppose -v = 3*v + 36. Let c = -7 - v. Solve -c = 4*i + 6 for i.
-2
Let y(f) = -2*f + 8*f**2 - 2*f + 16*f + 10 - 6*f**2. Let k be y(-5). Solve k = -4*m + 5*m + 1 for m.
-1
Let k = -1366 - -1398. Solve -20*n + 28 = -k for n.
3
Suppose -396 - 654 = -14*o. Solve -10*d = 5*d + o for d.
-5
Let s = -196 + 208. Solve 10*b - s*b = 4 for b.
-2
Let o(i) = 3*i + 2. Let k be -4 + 0 - (2 - 2). Let x be o(k). Let v be ((-5)/x)/((-1)/(-2)). Solve v = 5*s - 14 for s.
3
Let y(m) = -3*m - 7. Let r = -10 - -7. Let p be y(r). Let k(i) = -i + 8. Let d be k(5). Solve -d*j - 15 = p*j for j.
-3
Suppose q - 3 = a, 3*q = -3*a + 2*a - 3. Suppose -2*u + q*u + 4 = 0. Solve 4 = 3*g - u*g for g.
4
Suppose 0 = -y + 3*i + 5, -59*y = -61*y + 3*i + 22. Solve -13*g - 8 = -y*g for g.
2
Let f be (-1 + (-10)/(-4))*2. Let o = 19 - 17. Suppose 0 = -x + 3*x - o. Solve -8 = -f*a + x for a.
3
Suppose -68 - 32 = -5*h. Suppose -4*i + 72 + h = 0. Let v = -18 + i. Solve -11 = v*f + 4 for f.
-3
Suppose -4 = -4*t + 8. Suppose p + 2*z + 6 = -0*p, -t = -3*p + z. Solve 4*k = -p*k for k.
0
Let m = -251 - -277. Solve -22*b - 20 = -m*b for b.
5
Let d be (4/8)/((-2)/(-44)). Let z(i) = i**2 - 3*i + 4. Let u be z(4). Suppose d*w - 45 = u*w. Solve 10*h - w = 5*h for h.
3
Suppose 27 = 5*d - k + 8, -4*d - k = -17. Solve 0 = d*v - 11 + 23 for v.
-3
Let w(i) = -i**2 + 25*i + 116. Let g be w(29). Solve g = n + 3 - 6 for n.
3
Suppose 2*l - l = 2. Let i(a) = a**3 + 8*a**2 + 8*a + 8. Let q be i(-7). Suppose -q - 5 = -3*s. Solve s*v = -l*v + 12 for v.
3
Let i(r) = 3*r**2 - 2*r + 3. Let j be i(2). Suppose -5*w + j = -14. Solve 22 = w*a - 3 for a.
5
Let s = 24 + -12. Let q be (1/2)/(1/s). Suppose -q*p = -p. Solve -c - 1 = -p*c for c.
-1
Let a be (14/3)/((-18)/(-54)). Solve 9*h = a*h + 20 for h.
-4
Let m be (-4 + -2)*(-1)/2. Let o(b) = -b**3 + 3*b**2 + 2*b - 3. Let u be o(m). Solve -2*y + u = -3 for y.
3
Let p be (-1*(-1)/3)/((-49)/(-735)). Solve p - 5 = -7*q for q.
0
Suppose -1042 = -31*y - 81. Solve 24*p = y*p - 28 for p.
4
Let i = 55 - 56. Let t be (0 + 1/i)*-5. Solve 0*c = t*c - 10 for c.
2
Let x(p) = 3*p**2 + 3*p + 4. Let w be x(2). Solve w - 6 = -8*u for u.
-2
Suppose -7 = -j + i, -5*j + 4*i - 37 = -68. Solve -4*a + j = 23 for a.
-5
Let y = 2 + -1. Let i be (7/(-14))/(2/(-340)). Let b = i - 78. Solve b = 4*w - y for w.
2
Let o = 146 + -142. Solve -19 = -5*t - o | {
"pile_set_name": "DM Mathematics"
} |
680*r**3 - 600*r**2 - 24*r
Differentiate 323*q**4 - 2*q**2 + 559 wrt q.
1292*q**3 - 4*q
Find the second derivative of -2729*p**2 + 14*p + 51.
-5458
Differentiate -58*m**3 + 4*m**2 - 2*m*u - 128*u + 3 with respect to m.
-174*m**2 + 8*m - 2*u
What is the first derivative of 87*w**3 - 5*w + 797?
261*w**2 - 5
Find the third derivative of -3*a**5*p - 38*a**4*p**3 + 4*a**2*p + 7*a**2 - 4*a*p**3 wrt a.
-180*a**2*p - 912*a*p**3
Find the third derivative of -5*a*y**6 + 5*a*y**4 - 4*a - y**2 + 2*y wrt y.
-600*a*y**3 + 120*a*y
Differentiate 11*l**2*n - 1411*l**2 - 46*l*n**4 wrt n.
11*l**2 - 184*l*n**3
What is the second derivative of 8*f**5 - 3*f**2 - 179*f?
160*f**3 - 6
What is the second derivative of 517*m**2 - 199*m wrt m?
1034
What is the second derivative of 4008*w**5 + 3696*w?
80160*w**3
What is the first derivative of 51*h*j*m + h*j + 51*h*m**2 - h + j*m**2 wrt j?
51*h*m + h + m**2
Find the third derivative of -2*k**6 - k**4 + 18681*k**2 wrt k.
-240*k**3 - 24*k
What is the first derivative of 1202*a**2*r**2 - 4*a**2 + 274*a + 2 wrt r?
2404*a**2*r
What is the first derivative of -224*f**2*k - 2*k + 22 wrt f?
-448*f*k
Differentiate -2*d**3 + 543*d - 3371.
-6*d**2 + 543
Find the third derivative of 454*f**5 + 635*f**2.
27240*f**2
What is the derivative of 15675*g + 9710 wrt g?
15675
What is the derivative of -6*d**2*j**2*n + 6*d**2*n - 2*d**2 - 132*d*j**2 + j*n**2 wrt n?
-6*d**2*j**2 + 6*d**2 + 2*j*n
Find the second derivative of -6*c**2*u**2 - 5*c**2 + 51*c*u**4 - 15*c*u - 19*c + u**3 wrt u.
-12*c**2 + 612*c*u**2 + 6*u
What is the first derivative of 11837*l + 9762 wrt l?
11837
Find the third derivative of 4059*r**6 + 11557*r**2.
487080*r**3
Find the third derivative of -f**4*l*r - 342*f**4 - 2*f**3*l*r - 7*f**2*l*r + f**2*r - 6*f*r + 5*f wrt f.
-24*f*l*r - 8208*f - 12*l*r
Find the second derivative of -10*f**2*j*z**3 - 7*f**2*j + 4*f**2*z**3 + f*j*z**2 + f*j*z + j*z + 3*z**3 wrt f.
-20*j*z**3 - 14*j + 8*z**3
Differentiate 522*i**3*z - 48*i**3 + 4*i**2 wrt z.
522*i**3
Differentiate -537*o**2 + 171 with respect to o.
-1074*o
What is the derivative of 14*j**2*l**2*w + 18*j**2*l*w + 9*l**2*w + 112*w wrt j?
28*j*l**2*w + 36*j*l*w
What is the first derivative of -7903*h**2 - 13314?
-15806*h
Find the second derivative of 7720*a**3 + 2*a + 1800.
46320*a
Differentiate -3991*y**4 - 808 wrt y.
-15964*y**3
What is the derivative of t**4*x - 121*t**3*x - 17*x + 26 wrt t?
4*t**3*x - 363*t**2*x
What is the third derivative of -2*b**3*p**2 - 45*b**3 - b**2*p**2 - 209*b**2*p wrt b?
-12*p**2 - 270
What is the derivative of -195*h*r*w + 4*h*w - 420*h - 7*r*w wrt r?
-195*h*w - 7*w
Find the second derivative of -1221*x**2*z**2 + 2*x**2 - 832*z wrt z.
-2442*x**2
What is the first derivative of 10600*v**4 - 25539 wrt v?
42400*v**3
Find the third derivative of -2602*p**3 - p**2 + 598*p.
-15612
What is the second derivative of -3*j*o**2*s**5 - 8*j*o**2*s + 4*j*o*s - 2219*j*s**3 - 4*o**2*s + 4*o**2 + 2*s wrt s?
-60*j*o**2*s**3 - 13314*j*s
Find the third derivative of -2*i**3*r**3*x**2 - 56*i**3*r*x**3 - 25*i**2*r*x**3 - 13*i**2*x - 2*i*r**3 wrt i.
-12*r**3*x**2 - 336*r*x**3
Find the second derivative of 11*g*m*o**3 - 8*g*m - 3*g*o**3 + g + 2*m*o**3 - 2*m*o wrt o.
66*g*m*o - 18*g*o + 12*m*o
Differentiate 5*n**4 - 534*n**3 - 6596 wrt n.
20*n**3 - 1602*n**2
What is the third derivative of -286*i**3*n*z**2 - i**3*z - 7*i**3 - 10*i**2*z - 2*i*n*z**2 - 2*n*z + 2*z**2 wrt i?
-1716*n*z**2 - 6*z - 42
Find the third derivative of 1608*z**5 + 506*z**2 wrt z.
96480*z**2
What is the third derivative of h**2*k**3*x + 2*h**2*k + h**2 + 20*h*k**2 + h*x + 796*k**3*x + 2*k**3 - k*x wrt k?
6*h**2*x + 4776*x + 12
What is the second derivative of 5040*n**2 - 753*n?
10080
What is the first derivative of -o*w**2 - 3*o*w + 10*o + 2*w**3 + 4 wrt w?
-2*o*w - 3*o + 6*w**2
What is the first derivative of -k*r + 5*k*s**2 - 3*k + 27*r*s**4 - 13*r wrt s?
10*k*s + 108*r*s**3
Find the first derivative of 98*k**3*u**4 - 787*k**3 + 2*k**2*u**4 wrt u.
392*k**3*u**3 + 8*k**2*u**3
What is the derivative of 4*g**2*i + 14*g**2*q**2 - g**2*q + 37*g*i*q**2 + q**2 wrt i?
4*g**2 + 37*g*q**2
Differentiate 78*m**3 - m**2 + 976.
234*m**2 - 2*m
What is the first derivative of -265*o**3*u - o**3 + 2*o**2*u - 2938*u wrt o?
-795*o**2*u - 3*o**2 + 4*o*u
What is the derivative of -393*c**3*q**3 + 290*c**3 wrt q?
-1179*c**3*q**2
What is the second derivative of 9537*b**2 + b + 14364 wrt b?
19074
What is the second derivative of -312*z**4 - 26*z + 2 wrt z?
-3744*z**2
What is the derivative of -2*h**3*j - 9*h**3 - 16*h**2 + h*j**2 + 902*j wrt j?
-2*h**3 + 2*h*j + 902
Find the second derivative of -249*s**4 + 2*s - 138 wrt s.
-2988*s**2
Find the second derivative of 1009*h**3 - 2*h + 384 wrt h.
6054*h
Differentiate -14*n**2*q**2 - 3*n**2*q - 2*n**2 - n*q**2 - 137 with respect to q.
-28*n**2*q - 3*n**2 - 2*n*q
Find the third derivative of -5*f*h**3 - 2*f*h**2 + 3*h**5 + h**3 + 43*h**2 wrt h.
-30*f + 180*h**2 + 6
Find the third derivative of -3*s*y**3 - 182*s*y**2 - 44*y**4 wrt y.
-18*s - 1056*y
Find the first derivative of -1544*f*j - 964*j + 2 wrt f.
-1544*j
Find the third derivative of 28*j**5 - 7*j**3 - 1918*j**2 wrt j.
1680*j**2 - 42
What is the second derivative of -3795*v**5 - 104*v + 15 wrt v?
-75900*v**3
Find the third derivative of 1943*h**3 - h**2 + 122 wrt h.
11658
What is the second derivative of b**5*j + 116*b**5 - 2*b**2*j**3 - 123*b*j**3 + 2*j**3 wrt b?
20*b**3*j + 2320*b**3 - 4*j**3
What is the second derivative of -101*q**3 + q**2*w**2 + 2*q*w**2 - 2*q - 2*w**2 wrt q?
-606*q + 2*w**2
Find the second derivative of 89*w**3 - w - 9.
534*w
Find the third derivative of 11814*j**6*o**2 - 11473*j**2*o - 2*j*o**2 wrt j.
1417680*j**3*o**2
Find the second derivative of 978*o**5 - 2371*o wrt o.
19560*o**3
Find the third derivative of 2347*o**5 - 2799*o**2.
140820*o**2
Find the second derivative of 13967*z**5 - 1731*z + 3 wrt z.
279340*z**3
Differentiate 7*n**2*q - 126*n**2 - 2*n*q**2 - 4*q + 2 with respect to q.
7*n**2 - 4*n*q - 4
Find the second derivative of -j**4 - 303*j**2 - 517*j.
-12*j**2 - 606
Find the third derivative of -3*p**6 + 7*p**3 - 291*p**2.
-360*p**3 + 42
Differentiate -176*l**2 + 115 wrt l.
-352*l
What is the second derivative of 29*c**2*h**2 - 10*c**2*h + 7*c**2*x**2 + 36*c*x**2 - 2*h**2*x**2 - h*x - 1 wrt x?
14*c**2 + 72*c - 4*h**2
Find the second derivative of 67*b**5 - 2*b**2 + 164*b.
1340*b**3 - 4
What is the first derivative of -129*f**2*r + 2*f**2 - 22*f - 4*r + 6 wrt r?
-129*f**2 - 4
What is the derivative of 638*b**2*o**3 + 3*b**2*o - 16*b**2 + 12 wrt o?
1914*b**2*o**2 + 3*b**2
Find the second derivative of -4*b**3*h**3 - 20*b**3*h + 3*b**3 - 116*b**2*h**2 + 7*b**2*h + h**3 wrt h.
-24*b**3*h - 232*b**2 + 6*h
What is the second derivative of -3*b**3*l**2 + b**3*l - 25*b**2*l**2 + 16*b**2*l wrt l?
-6*b**3 - 50*b**2
Find the third derivative of -3*d**6*r**2 + 85*d**4*r**2 - 81*d**2*r**2 - 9*d**2 wrt d.
-360*d**3*r**2 + 2040*d*r**2
What is the third derivative of 3*k*l*x**3 - 5*k*l*x - 2*k*l - 2*k*x**3 - 2*k*x**2 - 4*k + 8*l*x**3 wrt x?
18*k*l - 12*k + 48*l
What is the third derivative of 68*x**3 + 3175*x**2 - 2*x?
408
What is the second derivative of -192*p**2 + 544*p?
-384
Find the second derivative of -d**2*n**3 + 101*d**2*n**2 - 9*d**2 - 4*d*n**3 - 2*d*n**2 + 318*n**3 wrt d.
-2*n**3 + 202*n**2 - 18
Find the third derivative of 17*a**3*o**3 + 14*a**3 - 15*a**2*o**4 + 5*o**2 wrt o.
102*a**3 - 360*a**2*o
Find the third derivative of -10*j**5 + j**4 + 75*j**3 + 5*j**2 + 755*j wrt j.
-600*j**2 + 24*j + 450
Find the second derivative of -2*f**2*i*y - 974*f**2*i + 2*f + 16*i*y + y wrt f.
-4*i*y - 1948*i
Find the second derivative of 5*c**2*p**2*t**2 + c**2*p**2 + 5*c**2 - 2*c*p**2*t**2 + c*p - 5*p**2 wrt c.
10*p**2*t**2 + 2*p**2 + 10
Differentiate 5*d*x**3 + 1248*d - x**4 + 36*x**3 with respect to x.
15*d*x**2 - 4*x**3 + 108*x**2
What is the second derivative of 4*h**2*n**2*y - h**2*n*y + 2*h*n**2*y - 20*h*n**2 + 2*n*y wrt h?
8*n**2*y - 2*n*y
What is the third derivative of 30*g**2*v**3 + 2*g**2*v**2 - 10*g*v**2 - 3*v**4 - 30*v wrt v?
180*g**2 - 72*v
What is the derivative of -2*c*d*s**3 - 49*c*d + 36*c*s**3 + 7*c*s**2 + 2*c*y**2 - 7*d*s*y**2 + 2*s**3*y**2 wrt d?
-2*c*s**3 - 49*c - 7*s*y**2
What is | {
"pile_set_name": "DM Mathematics"
} |
l(d) = 3*d. Let m(r) = -r**2 + r. Let p be (-2)/8 - 2/((-40)/(-55)). Give p*m(x) + l(x).
3*x**2
Let g(v) = -8*v**3 + 7*v**2 + 7. Let f(t) = 3*t. Let y be f(2). Let u(i) = 6 + y*i**2 - 2*i**3 - 7*i**3 + 2*i**3. Let d = -136 - -143. What is d*u(m) - 6*g(m)?
-m**3
Let h(y) = y**2 - 2*y + 10. Let u(j) = j**2 - 2*j + 9. Give -4*h(n) + 3*u(n).
-n**2 + 2*n - 13
Let u(h) = h**2 + 8*h - 1. Let q be u(-7). Let l = 13 + q. Let z(t) = 6*t**3 + t. Let m(k) = -k**3. What is l*m(n) + z(n)?
n**3 + n
Suppose 30*m - 37*m = 21. Let g(x) = 3*x**2 + 4*x. Let c be (-1)/(-2) + 18/4. Let k(w) = w**2 - 2*w + c*w + w**2. Calculate m*g(d) + 4*k(d).
-d**2
Let h = -6 - -10. Suppose 2*k + 3*g - 2 = 5, 3*g - 9 = 0. Let z(j) = -j - 1. Let m(f) = f**2 - 3*f - 2. Determine h*z(t) + k*m(t).
-t**2 - t - 2
Let m(w) = -5*w + 2. Let k(x) be the first derivative of 3*x**2/2 - x - 1. Let n = -5 + 13. Give n*k(c) + 5*m(c).
-c + 2
Let j(w) = -3*w + 3*w + w**2. Let p(b) = 6*b**2 + b. Let u be -15*((-1)/(-3))/1. Let y = 2 - 1. What is u*j(t) + y*p(t)?
t**2 + t
Let d(z) = -3*z**2. Let r(j) = 4*j**2 + j. What is 3*d(b) + 2*r(b)?
-b**2 + 2*b
Let n(d) = -15*d**2 - 4*d - 5. Let k(w) = -w**2 + w + 1. What is 5*k(b) + n(b)?
-20*b**2 + b
Let g(k) = -k**2 + k. Let y(z) = -11*z**2 - 5*z. Determine -5*g(q) - y(q).
16*q**2
Let k(z) = -5*z + 8. Let c(y) = 7*y - 3*y - 2 - 3*y. Suppose 0 = -0*i - 4*i + 2*a + 18, i = -4*a - 18. Give i*k(s) + 9*c(s).
-s - 2
Let i(x) = -12*x + 3 + 27*x**2 - 8*x + 6*x - 4*x**2. Let o(s) = 8*s**2 - 5*s + 1. Give 6*i(m) - 17*o(m).
2*m**2 + m + 1
Let h(k) = -29*k**2 + 2*k + 2. Let z(r) = 465*r**2 - 33*r - 33. Determine 33*h(w) + 2*z(w).
-27*w**2
Let d(c) = 4*c**2 + c + 4. Suppose -3*r + h + 6 = 0, 2*r + 2*h - 12 = -0*h. Let n(z) = 3*z + 6 + z**2 + 8*z**2 + r. Calculate -5*d(o) + 2*n(o).
-2*o**2 + o - 2
Let z(b) = 11*b**3 + 4*b**2 - 4*b - 4. Let g(y) = -133*y**3 - 49*y**2 + 49*y + 49. Calculate -4*g(s) - 49*z(s).
-7*s**3
Let k(i) = 6. Let u(x) = x - 17. Let v = -60 - -77. What is v*k(q) + 6*u(q)?
6*q
Let g(n) = -8*n**2 - 2*n**2 + 12*n**2 - 2*n - 2. Let p(q) = q**2 - 1. Give -g(y) + 3*p(y).
y**2 + 2*y - 1
Let h(i) = -i - 1. Let m(r) be the third derivative of 0*r - 1/12*r**4 - r**2 - 5/6*r**3 + 0. Let o(t) = -t + 9. Let x be o(6). Determine x*h(q) - m(q).
-q + 2
Let g(n) = n - 7. Let j be g(10). Let m(x) = -3*x**3 + 4*x**3 + 2*x**3 + x**j - 2*x - 2. Let k(b) = 9*b**3 - 5*b - 5. What is 2*k(l) - 5*m(l)?
-2*l**3
Let c(g) = -g. Let t(l) be the third derivative of l**4/6 - l**3/6 + 6*l**2 + 9*l. Let i be (-86)/18 - 4/18. Calculate i*c(b) - t(b).
b + 1
Let v(z) = 5*z - 1. Let p(q) = -16*q + 2. Give -3*p(s) - 8*v(s).
8*s + 2
Let n(w) = -3*w**3 + 5*w**2 + 5. Let q(p) = -4*p**3 + 6*p**2 + 6. Let b(t) = -t**3 - 30*t**2 - 56*t - 5. Let s be b(-28). Determine s*q(h) + 6*n(h).
2*h**3
Suppose 32 = -5*i + i. Let z(f) = 6*f - 8. Let d = 4 + -2. Let u(l) = -1 - 4*l + d + 4. Calculate i*u(r) - 5*z(r).
2*r
Let a(m) = 14*m + 2. Let t(r) = 1. Give -a(d) - 2*t(d).
-14*d - 4
Let w(r) be the third derivative of 1/3*r**3 + 0*r + 0 + 5*r**2 - 1/24*r**4. Let z(m) = 5*m - 8. Give 9*w(l) + 2*z(l).
l + 2
Let q(o) = 4*o**2 - 3*o - 6. Let i(s) = s**2 - s - 1. Calculate 6*i(m) - q(m).
2*m**2 - 3*m
Let d(f) = 8 + 0*f - 2 - 7*f. Let g(o) be the second derivative of -13*o**3/6 + 11*o**2/2 - 3*o. Let n = -2 - -8. Determine n*g(i) - 11*d(i).
-i
Let c(z) = 10*z. Let r(s) be the first derivative of -9*s**2/2 - 17. Give -3*c(d) - 4*r(d).
6*d
Let z(w) = -2*w + 1. Suppose -2*o = 3*o - 35. Let y(j) = -5*j + 3. Let t(f) = -3 + 2*f - 2*f**2 + 2*f + f**2. Let c be t(4). Calculate c*y(q) + o*z(q).
q - 2
Let o(s) = 9*s**2 - 29*s - 5. Let j(q) = 4*q**2 - 15*q - 2. Give -5*j(a) + 2*o(a).
-2*a**2 + 17*a
Let m(w) = 14*w + 11. Let x(g) = g + 0*g - 5*g - 4 - g. Calculate 4*m(q) + 11*x(q).
q
Let m(y) = -13*y - 7. Suppose 2*z + 40 = 7*z. Let u(v) = 4 + v + 1 + z*v. Let i = 16 + -9. Determine i*u(o) + 5*m(o).
-2*o
Let p(w) = -1. Let q(y) = -5 + 4*y + 3*y - 4*y - 5*y. Let o be q(-4). Let k(r) = -r**2 - 2 + 0*r**2 + 4. Determine o*p(s) + k(s).
-s**2 - 1
Let v(t) = t**3 - 2*t**2 + 3*t. Let y(i) = 5*i**3 - 9*i**2 + 13*i - 1. Let n(g) = -g**2 - g - 2. Let p be n(-1). Calculate p*y(s) + 9*v(s).
-s**3 + s + 2
Let h(w) = 5*w**3 + 25*w**2 - 4*w - 4. Let r(v) = v**3 + v**2 - v - 1. Determine -h(c) + 4*r(c).
-c**3 - 21*c**2
Let o(k) = -29*k**3 + 6*k**2 - 6. Let n(z) = 2205*z**3 - 455*z**2 + 455. Calculate -6*n(s) - 455*o(s).
-35*s**3
Let j(a) be the first derivative of -2*a**3/3 - 5*a**2/2 - a - 3. Let k(t) = t**2 + 3*t. Give -3*j(z) - 5*k(z).
z**2 + 3
Let b(q) = -5*q**3 - 5*q - 5. Let a(g) = 2*g**3 + 2*g + 2. What is -8*a(n) - 3*b(n)?
-n**3 - n - 1
Let b(n) = -3*n**3 + 15*n**2 - 15*n + 15. Let d(t) = -t**2 + t - 1. Give 3*b(j) + 45*d(j).
-9*j**3
Let k(f) = -f**3 + 5*f**2 + 5*f. Let w(t) = -3*t - 3. Let u be w(-3). Let l(i) = 2*i**3 - 6*i**2 - 6*i. Calculate u*k(m) + 5*l(m).
4*m**3
Let p = 7 + 3. Let y = p - 6. Let m(r) = -y + 8 - 3. Let f(x) = -x. What is f(s) - 2*m(s)?
-s - 2
Let x(t) = -13*t + 25. Let j(u) = 3*u - 6. Determine -9*j(k) - 2*x(k).
-k + 4
Let i(b) = -b**3 + 5*b**2 + 2. Let p(z) = -4*z**2 - 1. Determine -2*i(n) - 3*p(n).
2*n**3 + 2*n**2 - 1
Suppose -5*n = -1 + 11. Let z(u) = -4*u. Let r(o) be the first derivative of 5*o**2/2 + 20. Determine n*r(b) - 3*z(b).
2*b
Let y(o) = 5*o**3 - o**2 + 3*o + 2. Let g(w) = w**3 - w. Calculate -3*g(f) - y(f).
-8*f**3 + f**2 - 2
Let t = 12 - 5. Let d(z) = 6*z - 4. Let f(q) = 11*q - 7. Let s(b) = t*d(b) - 4*f(b). Let a(h) = -h - 1. What is -a(l) + s(l)?
-l + 1
Let q(o) = -4*o - 2. Let h(u) = -u + 3. Let j(r) = -3*r + 7. Let y(x) = 5*h(x) - 2*j(x). Calculate q(t) + 3*y(t).
-t + 1
Suppose 13*q + 3 = 10*q. Let s(v) = -2*v**3 - 4*v**2 - 2*v. Let a(p) = -p**3 - p**2. Give q*s(k) + 4*a(k).
-2*k**3 + 2*k
Let v(c) = -4*c**2 + 5*c - 2. Let l(u) = -u - 3*u + 2 - 34*u**2 + 37*u**2. Let a be -1*(1*-5 - 1). Calculate a*l(b) + 5*v(b).
-2*b**2 + b + 2
Let o(w) be the third derivative of -7*w**4/24 - w**3/2 - w**2 - 5. Let m(l) = l. What is -6*m(y) - o(y)?
y + 3
Let c(t) = 6*t**3 + 5*t**2 - 5. Let f(g) = -g**3 - g**2 + g + 1. What is -c(p) - 5*f(p)?
-p**3 - 5*p
Let l(x) = x**2 - x - 1. Let h(v) = 6*v**2 - 6*v - 4. Determine -h(u) + 4*l(u).
-2*u**2 + 2*u
Let c(d) = -2*d**2 - 3*d + 3. Let b be (-294)/28 - (-1)/(-2) - 3. Let w(s) = -5*s**2 - 7*s + 7. Determine b*c(z) + 6*w(z).
-2*z**2
Let r(h) = 18*h - 2. Let j(a) = 9*a - 1. Calculate -5*j(p) + 2*r(p).
-9*p + 1
Let o(z) = -z**2 - 3*z - 4. Suppose 2*g - 44 = -2*g. Suppose 0 = -4*x - g - 5. Suppose -2*b - 34 + 12 = 0. Let r(u) = 3*u**2 + 8*u + 11. Give b*o(j) + x*r(j).
-j**2 + j
Let w = 5 + -2. Suppose 0 = -p + 1, 2*v - w*p + 24 = -p. Let c = 18 - 12. Let f(a) = 4*a - 13. Let t(x) = 2*x - 7. Determine c*f(d) + v*t(d).
2*d - 1
Let g(t) = 3*t**3 + 2*t**2 + 9. Let f(l) = 4*l**3 + 3*l**2 + 10. Determine -2*f(h) + 3*g(h).
h**3 + 7
Let b(r) = 4*r**3 + 3*r**2 - 2*r. Let s(h) = 13*h + 7*h**2 + 9*h**3 - 9*h - 9*h. Suppose -4*o = -m - 32 + 8, -2*m + 18 = 3*o. Determine o*s(k) - 14*b(k).
-2*k**3 - 2*k
Let f(i) = 0*i - 9*i + 10*i + 5. Suppose 0*o = -4*o + 12. Let g(j) = 1. Give o*g(k) - f(k).
-k - 2
Let s(n) be the second derivative of n**3/6 - n**2/2 - 45*n. Let x(w) = w + 1. What is -3*s(v) - 3*x(v)?
-6*v
Let b(u) = -18*u**3 + 5*u**2 + 5*u + 5. Let s(c) = -91*c**3 + 26*c**2 + 26*c + 26. Give 26*b(r) - 5*s(r).
-13*r**3
Suppose 6 = v + v. Let b(z) = -2*z**2 - 3*z - 3. Suppose -4*c + 101 = -4*k + 41, 2*c - 16 = k. Let g(w) = -10*w**2 - 14*w - 14. Give k*b(q) + v*g(q).
-2*q**2
Let c(o) = o**2 + 39. Let k(h) = -h**2 - 1. Calculate -c(b) - 2*k(b).
b**2 - 37
Let u(j) = -4*j + 2. Suppose 3*z = 5*m + 13 + 4, 2*m - 3*z + 14 = 0. Let h(c) = c + 1. What is m*h(p) + u(p)?
-5*p + 1
Let g(u) = -10. Let h(k) = k - 51. Calculate 11*g(w) - 2*h(w).
-2*w - 8
Let t(a) = -5*a. Let n(j) = j**2 - 5*j. Let x be n(6). Let s(w) = 6*w. What is x*s(y) + 7*t(y)?
y
Let d(q) = 36*q**3 - 21*q**2 - 21*q. Let f(w) = -7*w**3 + 4*w**2 + 4*w. Calculate -4*d(u) - 21*f(u).
3*u**3
Let k(g) = -2*g**2 + 0 + g**2 + g**3 - 1. Let m be -2 - -2*(-1)/(-2). Suppose -2*w - 2 = 4. Let d(l) = -2*l**3 + 3*l**2 + 3. Calculate m*d(f) + w*k(f).
-f**3
Let l(p) = -20*p**2 - 17*p - 17. Let j(n) = -7*n**2 - 6*n - 13. Let f(o) = 7*o* | {
"pile_set_name": "DM Mathematics"
} |
36 - 29*c**3/6 + c**2 - 1. Let h(f) be the first derivative of n(f). Factor h(b).
-2*(b + 1)*(b + 5)/3
Let n(c) = 17*c**2 - 136*c + 155. Let x be n(7). Solve 0 - 126*u**2 - 10/3*u**5 - 102*u**3 - 94/3*u**4 - x*u = 0.
-3, -2/5, 0
Let y(w) = 3*w**3 + 90*w**2 + 667*w + 23564. Let u be y(-31). Factor -5/2*l - 1/2*l**u + 0 + 5/2*l**3 + 1/2*l**2.
-l*(l - 5)*(l - 1)*(l + 1)/2
Let w = -49 + 52. Determine x so that -4*x**5 - 11*x**2 + 4*x**w - 75*x**4 + 39*x**4 + 47*x**2 = 0.
-9, -1, 0, 1
Factor 8*y**4 + 788544 + 5*y**4 + 515040*y - 6*y**4 + 0*y**4 - 3*y**4 + 80548*y**2 - 1160*y**3.
4*(y - 148)**2*(y + 3)**2
Let p(t) = t**3 + 296*t - 222. Let a(b) = 3*b**3 - 22*b**2 + 1182*b - 888. Let l(z) = 3*a(z) - 11*p(z). Factor l(u).
-2*(u - 3)*(u - 1)*(u + 37)
Let u(i) be the third derivative of i**6/300 + 13*i**5/75 + 71*i**4/60 + 46*i**3/15 + 4*i**2 + 4*i - 18. Factor u(n).
2*(n + 1)*(n + 2)*(n + 23)/5
Suppose 7*h + 8 + 246 = 149*h - 15*h. What is c in -15/4*c**h - 5/4*c**4 + 25/4*c**3 + 0*c + 0 - 5/4*c**5 = 0?
-3, 0, 1
Solve -1335905*u + 667539*u - 3240 + 673216*u + 15*u**2 = 0.
-324, 2/3
Let u(z) be the second derivative of 25*z - 34/5*z**3 + 1 + 2601/5*z**2 + 1/30*z**4. Suppose u(k) = 0. Calculate k.
51
Solve -33*b + 94 - 9091*b**3 - 10 - 3*b**2 - 11*b + 9092*b**3 + 2*b**2 = 0.
-7, 2, 6
Suppose -14*j = -21*j. Let t(l) be the second derivative of -22*l + j - 1/90*l**6 - 1/60*l**5 + 0*l**3 + 1/36*l**4 + 0*l**2 + 1/126*l**7. Factor t(g).
g**2*(g - 1)**2*(g + 1)/3
Let w(t) be the third derivative of 3*t**8/896 + t**7/140 - 19*t**6/320 - t**5/20 + 3*t**4/16 + 310*t**2. Suppose w(l) = 0. Calculate l.
-3, -1, 0, 2/3, 2
Let t(y) be the third derivative of -1/60*y**6 + 1/140*y**7 + 0*y - 30*y**2 - 1/30*y**5 + 0*y**3 + 0*y**4 + 0. Suppose t(k) = 0. What is k?
-2/3, 0, 2
Suppose 0 = -2*s + 8, 5*s = 4*o + 2070 + 1574. Let x = -902 - o. Let 4/9*y**3 - 8/9 - 40/9*y + 14/9*y**x - 14/3*y**2 = 0. Calculate y.
-1, -2/7, 2
Let b(c) be the first derivative of 5*c**6/6 + 443*c**5/3 - 3745*c**4/6 + 3010*c**3/3 - 4525*c**2/6 + 755*c/3 - 9801. Determine y so that b(y) = 0.
-151, 1/3, 1
Suppose -33*u = -30*u + 18. Let d be 3 - -21*2/u. Let m(i) = -i**2 + i + 1. Let n(r) = -10*r**2 + 6*r + 7. Let f(o) = d*n(o) + 36*m(o). Factor f(p).
4*(p + 1)*(p + 2)
Let w(n) be the first derivative of 2*n**3/3 - 1462*n**2 + 1068722*n - 1718. What is v in w(v) = 0?
731
Let p(f) be the third derivative of -f**5/40 + 119*f**4/16 - 117*f**3/2 + 47*f**2 + 2*f + 5. Let p(c) = 0. Calculate c.
2, 117
Let m(a) = 4*a**2 + 58*a + 300. Let f(h) = -h**2 + 6*h. Let g(l) = 2*f(l) + m(l). What is u in g(u) = 0?
-30, -5
Factor -1/3*a**2 + 641/3 + 640/3*a.
-(a - 641)*(a + 1)/3
Factor -1314/19*a + 2620/19 + 2/19*a**2.
2*(a - 655)*(a - 2)/19
Factor 24*m**2 + 2*m**3 - 23831 + 23727 + 8*m**2 + 70*m.
2*(m - 1)*(m + 4)*(m + 13)
Let y(m) be the third derivative of -m**7/210 - 29*m**6/24 - 1823*m**5/20 - 15407*m**4/24 - 5041*m**3/3 - 695*m**2. Factor y(c).
-(c + 1)*(c + 2)*(c + 71)**2
Let m(l) be the third derivative of -l**5/120 + 2*l**4 + 100*l**3/3 - 3673*l**2. Factor m(r).
-(r - 100)*(r + 4)/2
Let a be ((-26544)/(-79))/(-4) + 86. Factor -2/7*n**a - 14450/7 - 340/7*n.
-2*(n + 85)**2/7
Let 40729*d**2 - 150*d - 40864*d**2 - 6*d**3 + 280 + 11*d**3 = 0. Calculate d.
-2, 1, 28
Find n such that 3/4*n**3 + 0*n + 0 + 3/4*n**4 - 3/2*n**2 = 0.
-2, 0, 1
Let b = 665 + -662. Factor -25*x - 11*x**2 + 11*x - 12*x**b - 5*x**2 + 14*x - 2*x**4.
-2*x**2*(x + 2)*(x + 4)
Let u = -306 + 371. Factor 210*j**2 - 55 - 50*j**3 + 44 - 198*j + u.
-2*(j - 3)*(5*j - 3)**2
Let v(i) be the third derivative of 0*i - 9/2*i**4 + 47*i**2 + 0 + 52/3*i**3 + 1/15*i**5. Factor v(f).
4*(f - 26)*(f - 1)
Let g = 229992 - 459983/2. Find h such that g*h**2 - 1/2 - 1/4*h + 1/4*h**3 = 0.
-2, -1, 1
Let o be (-1)/(2/(-8) - (-9)/52). Find h such that 4*h + o - 13 + h**3 + 2*h - 5*h**2 = 0.
0, 2, 3
Factor -5/4*k**2 - 1/4*k**3 + 1/2*k + 6.
-(k - 2)*(k + 3)*(k + 4)/4
Let o = 9701 - 19401/2. Let z(y) be the first derivative of -o*y**2 + 2/3*y**3 - 1/4*y**4 + 0*y + 24. Suppose z(l) = 0. What is l?
0, 1
What is d in -3/5*d**4 + 3036/5*d + 138/5*d**3 - 1452/5 - 1719/5*d**2 = 0?
1, 22
Find b such that -192*b + 0 + 3/8*b**5 + 87*b**3 - 90*b**2 - 117/8*b**4 = 0.
-1, 0, 4, 32
Let t(n) be the third derivative of -n**5/70 - 799*n**4/84 + 178*n**3/7 + 2830*n**2. Suppose t(c) = 0. Calculate c.
-267, 2/3
Let t(j) = 17*j - 157. Let s be t(9). Let y be (6/s)/((165/(-22))/15). Factor -4/3*c - 8/3*c**y + 0 - 2/3*c**4 - 10/3*c**2.
-2*c*(c + 1)**2*(c + 2)/3
Factor 14*m**2 - 2/7*m**3 - 1048/7*m + 136.
-2*(m - 34)*(m - 14)*(m - 1)/7
Let o = 71599 - 71596. Determine s, given that 0 + 1/2*s**2 - 2/5*s - 1/10*s**o = 0.
0, 1, 4
Let p(d) be the third derivative of -d**6/540 - 7*d**5/135 - d**4/108 + 52*d**3/9 + d**2 + 874. Let p(s) = 0. What is s?
-13, -4, 3
Let j = -23 - -29. Let h be ((j/9)/((-2)/3))/(-1). Factor -11*n**2 - 6 + 15*n - 4*n**2 + h + 5*n**3.
5*(n - 1)**3
Let d be (-4)/((-2 - (-24 + 17))/(-5*4/8)). Let 47/5*q**2 - 59/5*q**3 - 3/5*q**5 + 5*q**4 + 0 - d*q = 0. Calculate q.
0, 1/3, 1, 2, 5
Let u(x) = 54*x - 1994. Let c be u(37). Let v(i) be the first derivative of -11*i**2 + 10 + 32/3*i**3 + 4*i - 7/2*i**c. Factor v(j).
-2*(j - 1)**2*(7*j - 2)
Let q = -15 + 20. Suppose 2 = -f - 5*v - 11, -2*f = q*v + 11. Suppose 46*j**5 + f*j**3 - 49*j**5 + j**3 = 0. What is j?
-1, 0, 1
Determine m so that 630 - 89*m**2 - 112 - 515*m**3 + 374*m**2 + 284*m + 1026*m - 10*m**4 + 2 = 0.
-52, -1, -1/2, 2
Let p be ((-510)/714)/(5/(-2)). Let j(n) be the first derivative of -p*n**4 + 0*n - 2/35*n**5 - 2/7*n**2 + 7 - 10/21*n**3. Factor j(r).
-2*r*(r + 1)**2*(r + 2)/7
Let v be 77/(1309/(-170)) - ((-148)/12 + -3). What is p in 10/3*p**5 + 0*p**2 - 8/3*p**3 + 0 - v*p**4 + 0*p = 0?
-2/5, 0, 2
Let l(f) be the first derivative of f**6/210 - f**5/105 - 2*f**4/21 + 8*f**3/21 - 23*f**2 - 44. Let i(x) be the second derivative of l(x). Factor i(q).
4*(q - 2)*(q - 1)*(q + 2)/7
Factor 3*j**3 - 2*j**5 - 3*j**4 + 5*j**5 + 15*j**4 - 630*j**2 + 9*j**4 + 549*j**2 + 54*j.
3*j*(j - 1)**2*(j + 3)*(j + 6)
Let u be (0 - 3) + (-10)/(-8 - 297/(-44)). Let q(l) be the second derivative of -1/40*l**u + 0*l**4 + 0 + l**3 - 4*l**2 + 34*l. Factor q(r).
-(r - 2)**2*(r + 4)/2
Let i(q) be the third derivative of -q**6/60 + 7*q**5/10 - 7*q**4/6 - 152*q**3 - 86*q**2 + 4*q + 7. Solve i(p) = 0 for p.
-4, 6, 19
Let g(n) be the second derivative of -8 + 38/9*n**3 - 5/3*n**5 + 4*n**2 + n + 0*n**4. Determine y, given that g(y) = 0.
-3/5, -2/5, 1
Let x(h) be the first derivative of -h**6/33 - 128*h**5/55 - 668*h**4/11 - 6656*h**3/11 - 24336*h**2/11 - 2597. Let x(k) = 0. Calculate k.
-26, -6, 0
Let -1/4*x**3 + 12 - 29/4*x - 9/2*x**2 = 0. What is x?
-16, -3, 1
Let i be (1 - -1)/(3 + -2). Let s(o) = o - 4. Let u be s(7). Factor -w**3 - 1 - 7*w - w**i - 1 - w**2 + 4*w**u.
(w - 2)*(w + 1)*(3*w + 1)
Let s be (30/48 + 1184/(-256))*1*2/(-36). Solve -8/9*h + s*h**2 + 8/9 = 0 for h.
2
Let w(h) = -39*h**4 + 303*h**3 + 12*h**2 - 1158*h - 36. Let m(b) = -2*b**4 + b**3 - b - 2. Let s(l) = 18*m(l) - w(l). Determine o so that s(o) = 0.
-2, 0, 2, 95
Let 8/11*o**2 + 2232/11*o - 2/11*o**3 + 25920/11 = 0. Calculate o.
-18, 40
Let u(p) be the second derivative of 2304/5*p**2 + 10/3*p**4 + 1/25*p**5 + 0 - 266*p + 448/5*p**3. Factor u(n).
4*(n + 2)*(n + 24)**2/5
Suppose -3*j + 2 = -16. Find o such that -j - 35*o**2 + 10423*o**3 - 70*o - 10428*o**3 - 34 = 0.
-4, -2, -1
Determine x so that 13910/3*x + 5/3*x**2 + 9674405/3 = 0.
-1391
Let c(n) = 89 + 3 + 91 - 28 + 24 - 8*n. Let f be c(22). Factor 4/5*u**4 + 0 + 0*u**f - 4/5*u**2 + 0*u.
4*u**2*(u - 1)*(u + 1)/5
Let d(r) = -r**2 - r - 1. Let m(f) = 10*f**3 - 31*f - 15*f**3 + 3*f**3 + 94 + 5*f. Let v = 29 + -73. Let p(q) = v*d(q) - 2*m(q). Let p(k) = 0. What is k?
-6, 1
Let m(h) = 31*h**2 - 88*h + 471. Let q(g) = 7*g**2 - 22*g + 118. Let b(c) = 8*m(c) - 36*q(c). Find k, given that b(k) = 0.
10, 12
Let k = 2061 - 2059. Let c(u) be the second derivative of 1/42*u**7 + 0*u**5 + 0 + 0*u**4 + 0*u**3 + 0*u**k - 1/15*u**6 + 11*u. Let c(g) = 0. Calculate g.
0, 2
Let r(g) = 14*g + 80. Let h be r(-5). Find k, given that -2*k**3 - h*k - 3*k**2 - 4*k**3 + 2*k**3 + 5*k**3 = 0.
-2, 0, 5
What is w in -3/4*w**3 - 21/4*w + 0 + 6*w**2 = 0?
0, 1, | {
"pile_set_name": "DM Mathematics"
} |
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