 What is i in -12/7*i - 2/7*i**2 + y = 0?
-6, 0
Let d(y) be the third derivative of -y**6/240 + 151*y**5/120 - 1925*y**4/16 + 1875*y**3/4 - y**2 - 130*y. Factor d(b).
-(b - 75)**2*(b - 1)/2
Suppose -38*d + 74*d - 72 = 0. Let -6/7*n**3 - 2*n**d + 0 - 4/7*n = 0. Calculate n.
-2, -1/3, 0
Factor -24*z - 2/3*z**4 - 146/3*z**2 - 76/3*z**3 + 0.
-2*z*(z + 1)**2*(z + 36)/3
Suppose 63 = -11*h + 217. Suppose -19 = 4*n - 9*n + 3*m, -2*m = 2*n - h. Suppose 3*o**3 + 0 + 12/5*o**4 + 0*o + 3/5*o**n + 6/5*o**2 = 0. Calculate o.
-2, -1, 0
Let a(n) be the second derivative of -2*n**6/15 + 9*n**5/5 - 26*n**4/3 + 16*n**3 - 658*n. Factor a(k).
-4*k*(k - 4)*(k - 3)*(k - 2)
Factor -39*u**3 - 40*u**2 - 28 + 322*u + 16*u**4 - 12 + 4*u**5 - 450*u + 7*u**3 + 220*u.
4*(u - 1)**3*(u + 2)*(u + 5)
Let k be (2 - 8)/(-4 + 2). Suppose 16 = k*l + 1. Factor 0*w - 1/6*w**l + 0*w**2 - 4/3*w**4 + 0 - 8/3*w**3.
-w**3*(w + 4)**2/6
Suppose 0 = -f + 10 + 166. Let v = f + -176. Determine g so that -1/5*g**2 - 3/5*g + v = 0.
-3, 0
Let z(s) be the third derivative of -s**7/140 + 7*s**6/40 - 6*s**5/5 - 7*s**4/8 + 49*s**3/4 + 33*s**2 - 1. Suppose z(p) = 0. What is p?
-1, 1, 7
Let j(g) be the third derivative of g**8/3360 - g**7/560 + g**5/60 - 13*g**3/3 + 6*g**2. Let k(s) be the first derivative of j(s). Solve k(x) = 0 for x.
-1, 0, 2
Let l(p) be the third derivative of -p**9/15120 + p**7/2520 + 11*p**4/8 + 25*p**2. Let i(u) be the second derivative of l(u). Factor i(t).
-t**2*(t - 1)*(t + 1)
Suppose 9*f - 13*f - 4 = 0, 2*r + 2*f - 4 = 0. Let s(t) be the second derivative of 0 - 4*t - 1/15*t**r + 1/15*t**4 - 1/5*t**2. Factor s(q).
2*(q - 1)*(2*q + 1)/5
Let q(k) be the third derivative of 27*k**7/245 + 3*k**6/28 - 16*k**5/105 + k**4/21 + 3*k**2 - 5*k. Find z such that q(z) = 0.
-1, 0, 2/9
What is s in 20*s + 23*s - 37*s + 2*s**2 + 4 = 0?
-2, -1
Find p such that 42/5*p**2 + 21/5*p**3 + 3/5*p**4 + 24/5*p + 0 = 0.
-4, -2, -1, 0
Let b(v) be the first derivative of v**6/18 + 7*v**5/15 - 2*v**4/3 - 48. Let b(l) = 0. Calculate l.
-8, 0, 1
Let -8319 + 38434 - 496*m**2 + 1637 - 14868*m - 4*m**3 = 0. Calculate m.
-63, 2
Factor 24*u - 27*u - 64*u - 54 + 3*u**4 - 3*u**3 - 827*u**2 - 50*u + 758*u**2.
3*(u - 6)*(u + 1)**2*(u + 3)
Suppose 0 = -103*i + 106*i - 6. Let s(y) be the first derivative of 0*y + 1/20*y**4 - 1/15*y**3 + 5 - 1/5*y**i. What is m in s(m) = 0?
-1, 0, 2
Let 3/4*d**3 + 9/2*d**2 + 9*d + 6 = 0. Calculate d.
-2
Let s(z) be the first derivative of -4*z**6/105 + z**5/70 + 5*z + 14. Let n(c) be the first derivative of s(c). Find g such that n(g) = 0.
0, 1/4
Let i(q) be the first derivative of -9/2*q**2 - 6 + 0*q - 5*q**3. Solve i(c) = 0.
-3/5, 0
Let i(f) = f. Let d(y) = 147*y**4 + 378*y**3 - 261*y**2 - 233*y - 36. Let x(l) = d(l) + 5*i(l). Determine g, given that x(g) = 0.
-3, -2/7, 1
Let o(i) be the first derivative of -i**6/105 - i**5/14 - 2*i**4/21 + i - 6. Let u(m) be the first derivative of o(m). Factor u(c).
-2*c**2*(c + 1)*(c + 4)/7
Let x(b) be the third derivative of 0*b - 35*b**2 - 1/224*b**8 - 3/40*b**5 + 3/140*b**7 + 0*b**3 + 1/8*b**4 - 1/80*b**6 + 0. Determine l, given that x(l) = 0.
-1, 0, 1, 2
Let b be 64/(-20)*(-175)/210. Determine h, given that -1/6*h**5 - 1/6*h**4 - 8/3 - b*h + 4/3*h**3 + 4/3*h**2 = 0.
-2, -1, 2
Let d(r) = 6*r**3 + r - 2. Let u be d(1). Let v be (-4)/u + 64/80. Factor 1/4*k**4 + 0*k**3 + 1/2*k - 3/4*k**2 + v.
k*(k - 1)**2*(k + 2)/4
Let z(k) = k**3 - 4*k**2 + 3*k + 4. Let d = 0 + 3. Let a be z(d). Let 5*c**2 - 2 - c**2 - 4*c**4 + a*c**2 - 2 = 0. What is c?
-1, 1
Suppose -6*h - 3*p = -3*h - 21, -p + 4 = 0. Suppose 3*m + s = 8, -s + h = -4*s. Factor 1 + 25/4*z**4 + 69/4*z**2 - 7*z - 35/2*z**m.
(z - 1)**2*(5*z - 2)**2/4
Let 0 + 0*u**3 - 7/3*u**4 + 0*u + u**5 + 4/3*u**2 = 0. Calculate u.
-2/3, 0, 1, 2
Let d(l) = l**3 + 8*l**2 + 8*l - 3. Let t be d(-2). Suppose -4*f + 2*s + 2 = -0*f, -t*f + 5 = -5*s. Factor -10/3*h**2 + 4/3*h + f.
-2*h*(5*h - 2)/3
Factor 0 + 3/2*q - 1/6*q**3 - 4/3*q**2.
-q*(q - 1)*(q + 9)/6
Let a(f) = 2*f - 8. Let r be a(6). Suppose -13*l**4 + 15*l**4 + l**3 + 5*l**5 + 11*l**r + 3*l**3 - 4*l**2 = 0. What is l?
-2, -1, 0, 2/5
Let c(p) be the third derivative of -p**6/40 - 7*p**5/10 + p**4/8 + 7*p**3 + 220*p**2. Factor c(y).
-3*(y - 1)*(y + 1)*(y + 14)
Suppose 5*p = 8*p - 12, -4*w + 2*p = 0. Let z be (w/4)/((-5)/(-30)). Factor -f**z + 0*f**4 + 0 + 1/2*f**5 + 0*f**2 + 1/2*f.
f*(f - 1)**2*(f + 1)**2/2
Let d(y) be the first derivative of -36*y**5/5 - 123*y**4 - 1108*y**3/3 - 290*y**2 - 88*y + 310. Determine k, given that d(k) = 0.
-11, -2, -1/3
Let z be -4 - (-300)/70 - (480/(-35))/8. Let -4/9*h**z + 0 + 16/9*h = 0. Calculate h.
0, 4
Suppose 15 = 2*x + 3*m + 68, 4*m = -12. Let o = -22 - x. Factor -3/4*h**4 + 0*h + o + 3/4*h**3 - 1/4*h**2 + 1/4*h**5.
h**2*(h - 1)**3/4
Factor 463*g + 30 - 467*g - 2*g**2 + 0*g**2.
-2*(g - 3)*(g + 5)
Suppose 2*q + 4*n + 252 = 0, -4*n = -2*q + q - 96. Let x = q + 814/7. Determine h, given that 8/7*h - 16/7 - x*h**3 + 4/7*h**2 = 0.
-2, 2
Let p(b) = -19*b**2 + 23*b + 43. Let m(f) = -3*f**2 + 4*f + 6. Let u(j) = -13*m(j) + 2*p(j). Let u(v) = 0. Calculate v.
2, 4
Let x = -539058301/6452568 + 2/806571. Let u = x - -251/3. Suppose 0 - u*c**2 - 1/8*c = 0. What is c?
-1, 0
Find q such that 32/7 - 8/7*q + 2/7*q**3 - 8/7*q**2 = 0.
-2, 2, 4
Let j = -199 + 201. Let b(x) be the first derivative of 1/4*x**j + 0*x - 5 - 1/6*x**3. Determine q, given that b(q) = 0.
0, 1
Suppose -56*y - 6 = -59*y. Factor 20/3*p - 20/3 - 5/3*p**y.
-5*(p - 2)**2/3
Let w = 397/545 + -14/109. Suppose 0*g + 0 - 3*g**3 - w*g**4 - 12/5*g**2 = 0. What is g?
-4, -1, 0
Factor -l + 34*l + 35*l - 4*l - 16*l**2 + l**3.
l*(l - 8)**2
Let b be 1/((-4)/(-54))*14/21. Factor -h**2 - 13 + 19 - b*h + 4*h**2.
3*(h - 2)*(h - 1)
Suppose -11*m = -5*t - 15*m + 27, 4*m - 24 = -4*t. Factor 48/5*k + 12/5*k**2 + 1/5*k**t + 64/5.
(k + 4)**3/5
Suppose 120*h**3 + 3*h**5 + 33*h**4 + 144*h**2 + 5527 - 5527 = 0. Calculate h.
-4, -3, 0
Let v(u) be the first derivative of 4*u**3/3 + 2*u**2 - 8*u - 89. Let v(p) = 0. Calculate p.
-2, 1
Solve -2/7*y**3 + 8*y + 24/7*y**2 + 0 = 0.
-2, 0, 14
Let z(w) be the second derivative of 2*w**7/21 + 2*w**6/5 - w**5 - 9*w**4 - 64*w**3/3 - 24*w**2 - 47*w - 1. Let z(s) = 0. What is s?
-2, -1, 3
Let t(p) be the first derivative of -2*p**3/9 - 4*p**2/3 - 8*p/3 - 98. Solve t(r) = 0 for r.
-2
Let z = 13 + -6. Let a be 12/z + (-6)/(-21). Factor 4*v**2 + 4*v**3 + a*v + 4*v**4 - 3*v**4 + v**2.
v*(v + 1)**2*(v + 2)
Let b(u) be the first derivative of 2/7*u**2 + 2/7*u + 2/21*u**3 - 16. Suppose b(y) = 0. What is y?
-1
Let d be -1 - (2 - 328/24 - -8). Determine p, given that 0 - 16/3*p**2 - 10/3*p**3 + d*p = 0.
-2, 0, 2/5
Factor -21/4*l + 9/4 + 21/4*l**3 - 9/4*l**2.
3*(l - 1)*(l + 1)*(7*l - 3)/4
Let o(m) be the second derivative of -1/6*m**3 + 7*m + 1/36*m**4 + 0*m**2 + 0. Solve o(w) = 0 for w.
0, 3
Let r(h) = -9*h**2 + 39*h - 24. Let l(q) = -8*q**2 + 38*q - 25. Let p(j) = 6*l(j) - 5*r(j). Determine n, given that p(n) = 0.
1, 10
Let f(p) = -5*p**4 - 8*p**3 + 6*p**2 + 34*p + 31. Let x(v) = 6*v**4 + 8*v**3 - 6*v**2 - 33*v - 32. Let m(y) = 7*f(y) + 6*x(y). What is r in m(r) = 0?
-1, 5
Suppose -2*r = -5*u + 30 - 9, -r + 2*u - 8 = 0. Let -o**5 + o**r + 5*o**3 - o**3 - o**3 - o**4 - 2*o**3 = 0. Calculate o.
-1, 0, 1
Let i(a) = 11*a**2 - 12*a - 16. Let f(g) = 5*g**2 - 6*g - 8. Let n = -15 - -8. Let z(w) = n*f(w) + 3*i(w). Factor z(t).
-2*(t - 4)*(t + 1)
Let o = 3349 - 6695/2. Factor 0*f + 0*f**2 - o*f**4 + 3/4*f**3 + 0 + 3/4*f**5.
3*f**3*(f - 1)**2/4
Let g(h) be the second derivative of h**5/50 - h**4/30 + 152*h. Let g(q) = 0. What is q?
0, 1
Let h(w) be the third derivative of -w**8/224 + 3*w**7/70 - 3*w**6/20 + w**5/5 + w**2 + 100*w. Determine b, given that h(b) = 0.
0, 2
Let f(y) = 9*y**3 - 3*y**2 + 12*y - 1. Let w(d) = 2*d**3 - d**2 + d - 1. Let u(j) = f(j) - 5*w(j). Find z such that u(z) = 0.
-1, 4
Let t(j) = -2*j**2 + 52*j + 174. Let b be t(29). Suppose -4/9*w**4 - 1/9*w**5 + 0*w + 0 - 4/9*w**3 + b*w**2 = 0. What is w?
-2, 0
Let h(n) be the first derivative of -n**8/112 + n**6/40 - n**2 - 1. Let g(u) be the second derivative of h(u). Factor g(y).
-3*y**3*(y - 1)*(y + 1)
Let l(h) be the first derivative of -h**6/30 + 32*h**5/25 - 337*h**4/20 + 1334*h**3/15 - 1118*h**2/5 + 135