q**5 + 0*q. Factor i(y).
2*y*(y + 1)**2*(y + 2)/7
Let y(o) be the first derivative of -2*o**5/95 + 17*o**4/38 - 62*o**3/57 + 15*o**2/19 - 668. Let y(a) = 0. What is a?
0, 1, 15
Let x(n) = -2*n**4 - 8*n**3 + 33*n**2 + 73*n - 96. Let j(l) = -2*l**4 - 8*l**3 + 32*l**2 + 74*l - 96. Let u(g) = -7*j(g) + 6*x(g). Factor u(m).
2*(m - 3)*(m - 1)*(m + 4)**2
Let r(x) = -x**2 + 4*x + 6. Let q be r(7). Let k be ((-9)/q)/(4/20). What is s in -2/7*s**k - 2/7*s + 0 + 4/7*s**2 = 0?
0, 1
Suppose -3*h - 23 = 2*u, 560*u = 557*u - 2*h - 12. What is k in 0*k + u - 1/2*k**3 - 3/2*k**2 = 0?
-2, 1
Let -18/5*m**2 + 21/5*m**3 + 9/5*m**4 - 36/5*m + 24/5 = 0. What is m?
-2, 2/3, 1
Suppose 5*m = -0 + 10. Suppose 5 - 1 = m*o. What is d in -2*d + d**2 - 4 - 10*d**3 + 8*d**2 + 9*d**2 - o*d**2 = 0?
-2/5, 1
Let d(m) be the third derivative of -5*m**8/336 + 3*m**6/4 - m**5/3 - 95*m**4/8 - 30*m**3 - 787*m**2. Determine y, given that d(y) = 0.
-4, -1, 3
Let r be (4/7)/((-870)/(-609)). Factor -3/5 + r*m + m**2.
(m + 1)*(5*m - 3)/5
Let g(q) be the first derivative of 17 - 5/3*q**3 - 15*q + 5/4*q**4 - 25/2*q**2. What is k in g(k) = 0?
-1, 3
Let d = 79 - 75. Determine i so that 20*i**3 - 3*i**d - 43*i**3 - i**2 + 20*i**3 - i**5 = 0.
-1, 0
What is v in -5*v - 83 - 187 + 27 - 292*v - 57*v**2 - 3*v**3 = 0?
-9, -1
Suppose 121*j + 125*j - 239*j = 0. Find s such that -1/3*s**3 + 5/9*s**4 - 4/3*s**2 - 4/9*s + j = 0.
-1, -2/5, 0, 2
Let y be ((-7)/4)/(115/(-20) + 6). Let q(j) = 4*j**4 + 6*j**3 - 10*j**2. Let r(l) = -13*l**4 - 17*l**3 + 30*l**2. Let h(p) = y*q(p) - 2*r(p). Factor h(m).
-2*m**2*(m - 1)*(m + 5)
Suppose 5*g - 290 = 3*b, 0 = 4*g + 14*b - 12*b - 254. Suppose g*z - 62*z + 4 = 0. Factor 4/7*h**3 + 2/7*h**z + 0 + 0*h + 2/7*h**2.
2*h**2*(h + 1)**2/7
Let p(d) be the second derivative of -d**6/165 - 16*d**5/55 + 67*d**4/66 - 34*d**3/33 + 19*d - 1. Solve p(f) = 0.
-34, 0, 1
Determine v so that 18*v + 0 - 2/7*v**2 = 0.
0, 63
Let g(s) be the first derivative of s**5/4 - 5*s**4/2 + 15*s**3/2 - 10*s**2 + 25*s/4 + 126. Factor g(d).
5*(d - 5)*(d - 1)**3/4
Let o = -4044 - -4044. Let -3/7*g**4 + 18/7*g - 3/7*g**2 - 12/7*g**3 + o = 0. What is g?
-3, -2, 0, 1
Factor 150*h**4 - 2*h**5 - 317*h**4 + 165*h**4 + 2*h**3 + 2*h**2.
-2*h**2*(h - 1)*(h + 1)**2
Factor 1536 - 12*m**2 - 2895 + 1449 - 538*m.
-2*(m + 45)*(6*m - 1)
Let p(f) = 7*f**2 - 5*f + 6. Let k(z) = -8 + 14*z - 5 + 2 - 13*z**2 - 5*z. Let x(r) = 6*k(r) + 11*p(r). Determine d so that x(d) = 0.
-1, 0
Solve 52/7*k + 48/7 + 4/7*k**2 = 0.
-12, -1
Solve 36/7 - 2/7*m**2 + 34/7*m = 0.
-1, 18
Let c(d) be the first derivative of 1331*d**4/28 - 242*d**3 + 462*d**2 - 392*d - 70. Factor c(j).
(11*j - 14)**3/7
Factor 3*l**4 - 7*l**3 - 55*l + 50*l**3 + 2*l - 16*l + 72 - 75*l**2 + 26*l**3.
3*(l - 1)**2*(l + 1)*(l + 24)
Let r(d) be the second derivative of -d**5/5 + 2*d**4/3 + 14*d**3/3 + 8*d**2 - 10*d + 1. Suppose r(j) = 0. Calculate j.
-1, 4
Let f(i) = 79*i + 2846. Let l be f(-36). Factor l*a**2 - 1/2*a**3 - 5/2*a + 1.
-(a - 2)*(a - 1)**2/2
Let x(c) be the second derivative of 3*c**5/40 + 23*c**4/8 + 30*c**3 - 108*c**2 + 36*c. Factor x(n).
3*(n - 1)*(n + 12)**2/2
Let h(f) be the third derivative of -f**6/1020 - 7*f**5/510 - 2*f**4/51 + 16*f**3/51 - 60*f**2 + 1. Factor h(n).
-2*(n - 1)*(n + 4)**2/17
Let k(x) be the third derivative of -x**7/10 - 9*x**6/40 + 3*x**5/5 + x**4/2 + 13*x**2 - 1. Let k(o) = 0. What is o?
-2, -2/7, 0, 1
Let j be 36/(-2) - (-4095)/210. Solve -2 - j*b - 1/2*b**4 + 3/2*b**3 + 5/2*b**2 = 0 for b.
-1, 1, 4
Let f(g) = -46*g**2 + 655*g - 154. Let n(k) = 224*k**2 - 3276*k + 772. Let b(v) = -24*f(v) - 5*n(v). Let b(z) = 0. Calculate z.
1/4, 41
Let v(c) be the third derivative of 1/120*c**6 + 0*c + 1/6*c**4 + 22*c**2 + 0*c**3 + 0 + 1/15*c**5. What is w in v(w) = 0?
-2, 0
Let q(r) = -72*r - 285. Let k be q(-4). Factor 2/17 - 4/17*u**2 + 2/17*u**5 - 4/17*u**k + 2/17*u + 2/17*u**4.
2*(u - 1)**2*(u + 1)**3/17
Let g(x) be the third derivative of -x**7/168 - x**6/40 + 2*x**5/5 - 5*x**4/6 - 2*x**3 - 173*x**2. Find o, given that g(o) = 0.
-6, -2/5, 2
Let b(s) be the third derivative of 0*s**4 + 2/15*s**5 + 0 + 8/105*s**7 + 1/6*s**6 + 37*s**2 + 0*s + 0*s**3 + 1/84*s**8. Find p, given that b(p) = 0.
-2, -1, 0
Let n = -341 - -344. Let z(g) be the first derivative of 1/15*g**6 + 6/25*g**5 + 3/10*g**4 + 0*g + 2/15*g**n - 5 + 0*g**2. Factor z(x).
2*x**2*(x + 1)**3/5
Let s(w) be the first derivative of w**4/18 - 7*w**2/9 + 4*w/3 - 163. Suppose s(k) = 0. Calculate k.
-3, 1, 2
Let t = 45 + -45. Let d(p) be the third derivative of 0*p**3 + 0*p + 1/105*p**7 - 1/10*p**5 + t + 0*p**6 + 1/6*p**4 + 5*p**2. Solve d(m) = 0.
-2, 0, 1
Let d(m) be the second derivative of -1/48*m**4 + 0*m**2 + 0 + 11*m - 1/24*m**3. Solve d(u) = 0 for u.
-1, 0
Suppose 4*s - 3*o = 22, 6 = -3*o - 0. Factor -5*t + t - 13*t**4 + 5*t**s + 8*t**2 - t**5 + 5*t**5.
4*t*(t - 1)**3*(t + 1)
Factor -20 + 79/5*t**2 + 4/5*t**3 + 76*t.
(t + 10)**2*(4*t - 1)/5
Let u(x) be the second derivative of 56*x**3 + 36/5*x**5 + 1/14*x**7 + 26*x**4 + 72*x**2 - 4*x + 11/10*x**6 + 0. What is c in u(c) = 0?
-3, -2
Find t such that -23/4*t + 1/4*t**2 + 11/2 = 0.
1, 22
Let g be -16*48/(-64)*(2 + (-51)/27). Determine j so that 2/3*j**2 - j**4 + 1/3 + g*j - 4/3*j**3 = 0.
-1, -1/3, 1
Suppose -n = n - 14. Let k = -7 + n. Factor 1 - 2*u**3 - 1 + k.
-2*u**3
Let u = -5453/5 + 1091. Let 0 + 0*y - 2/5*y**2 + 2/5*y**5 + u*y**4 - 2/5*y**3 = 0. Calculate y.
-1, 0, 1
Let z(f) be the first derivative of f**7/840 + f**6/240 - f**5/80 + 5*f**2/2 - 1. Let h(l) be the second derivative of z(l). Factor h(m).
m**2*(m - 1)*(m + 3)/4
Suppose 2 = -4*b + 2*v, -b + 6*b + v + 20 = 0. Let d(g) = -4*g**2 + 80*g + 160. Let x(n) = -n**2 + 16*n + 32. Let i(j) = b*d(j) + 14*x(j). Factor i(u).
-2*(u + 4)**2
Factor -10/7*l**3 + 44/7*l**2 - 2/7*l**4 + 0 - 32/7*l.
-2*l*(l - 2)*(l - 1)*(l + 8)/7
Factor -122/5*a**3 + 28/5*a**4 + 1/5*a**5 + 32/5 + 188/5*a**2 - 127/5*a.
(a - 1)**4*(a + 32)/5
Suppose 0*d - 12 = -4*d + 2*s, 16 = 4*d - s. Let b = -5 + d. Factor -4/3*n**4 + b*n**3 - 2/3*n**5 + 0*n**2 + 0 + 0*n.
-2*n**4*(n + 2)/3
Let a = -46 + 50. Let r be (-3)/(-9) - a/(-24). Find f such that -5/4*f + 3/4*f**3 - 1 + r*f**2 = 0.
-1, 4/3
Let n be (-3)/3*14*(-2)/7. Let t be 0 + n/70*5. Factor 0 - 4/7*h**4 + 0*h**3 + 2/7*h**5 + 4/7*h**2 - t*h.
2*h*(h - 1)**3*(h + 1)/7
Suppose 5 = f - 0. Factor -6*j**4 + 2*j**f + 6*j**3 + 3*j**2 + 2 - 2*j**3 - 6*j + j**2.
2*(j - 1)**4*(j + 1)
Let o(u) be the second derivative of -u**5/30 + 13*u**4/18 - 35*u**3/9 - 49*u**2/3 + 11*u + 6. Let o(i) = 0. What is i?
-1, 7
Let q = 17462 - 17459. Factor 0*y + 0*y**q + 4 + 1/4*y**4 - 2*y**2.
(y - 2)**2*(y + 2)**2/4
Suppose -4*g - 26 = 10. Let a = g - -11. Solve -4 - 5*z - 2*z - 15*z**a + 3 + 3*z**3 - 12*z**3 = 0 for z.
-1, -1/3
Factor -2/9*s**3 - 28/9 - 58/9*s - 32/9*s**2.
-2*(s + 1)**2*(s + 14)/9
Let l = 3679 - 3677. Find q such that 0*q + 4/11*q**l + 0 + 10/11*q**3 + 8/11*q**4 + 2/11*q**5 = 0.
-2, -1, 0
Let d(l) = 4*l**5 - l**4 + 11*l**3 + 3*l**2 + 8. Let r(t) = t**5 + t**3 + t**2 + t + 1. Let i(y) = d(y) - 5*r(y). Factor i(j).
-(j - 1)**3*(j + 1)*(j + 3)
Suppose -2*o - 1 = 1. Let b(t) = t + 4. Let f be b(o). Factor -6 + q**3 - 3 + 5 + f*q**2.
(q - 1)*(q + 2)**2
Let k = 29 - 26. Suppose 0 = 4*u + u - 20. Factor 2*h**k + h**u + h**4 - 4*h**2 - 2*h + 3*h**2 - h**2.
2*h*(h - 1)*(h + 1)**2
Let l(w) = w**3 + 19*w**2 + w + 19. Suppose 0 = 7*r + 202 - 69. Let b be l(r). Solve 3*s**2 + 6/5*s + b - 3/5*s**4 - 3/5*s**5 + 9/5*s**3 = 0 for s.
-1, 0, 2
Let s(c) be the first derivative of 2*c**6/15 - c**4 + 4*c**3/3 - 9*c - 1. Let p(m) be the first derivative of s(m). Factor p(b).
4*b*(b - 1)**2*(b + 2)
Let b(p) = -p**4 + p**3 - p**2 + 2. Let g(t) = -4*t**4 - 90*t**3 + 1238*t**2 - 2208*t + 1070. Let l(n) = -6*b(n) + g(n). Let l(m) = 0. What is m?
1, 23
Let m(f) be the third derivative of -1/75*f**5 + 0*f**3 + 0 + 0*f - 17*f**2 + 1/15*f**4. Determine b so that m(b) = 0.
0, 2
Let s(l) = l**3 - 49*l**2 - 94*l - 69. Let x(n) = -2*n**3 + 50*n**2 + 92*n + 70. Let h(m) = 6*s(m) + 5*x(m). Determine g so that h(g) = 0.
-8, -2, -1
Let i = 10658 - 42863/4. Let v = 2557/44 + i. Let 0 + 2/11*g**5 - 2/11*g**3 + v*g**2 + 0*g - 4/11*g**4 = 0. What is g?
-1, 0, 1, 2
Let v(i) = -i**2 - 12*i - 16. Let m be v(-2). Let -3