se -14*w = -12*w. Let b be q(w). Suppose b + 5*o**2 - 1 + 3*o**2 + 7 + 20*o = 0. What is o?
-2, -1/2
Let l(w) be the second derivative of w**6/195 - 5*w**4/39 + 9*w**2/13 + w - 31. Find o such that l(o) = 0.
-3, -1, 1, 3
Suppose 5*s - 1 = 3*d, 2*s - 2*d = -s. Let b be (6/4)/((-1)/(-2)). Find n such that 6*n**3 - 6*n**3 + 5*n**b - s*n**3 = 0.
0
Suppose 0 = 3*w - 15. Suppose -w*b + 7*l = 3*l - 24, -3*l = -5*b + 28. Factor -22 - 6*r - 2*r + 26 + 4*r - b*r**2.
-4*(r + 1)*(2*r - 1)
Let d(o) be the first derivative of -2/5*o**5 + 0*o**3 + 0*o + 0*o**2 + 1/2*o**4 + 7. Factor d(i).
-2*i**3*(i - 1)
Let b(y) be the first derivative of 0*y**3 + 1/2*y**2 - 2 + y - 1/12*y**4. Let i(f) be the first derivative of b(f). Suppose i(z) = 0. Calculate z.
-1, 1
Let p = -1697 + 5095/3. Factor p*w**3 + 2/3*w + 0 + 1/3*w**4 + 5/3*w**2.
w*(w + 1)**2*(w + 2)/3
Let i = 414 - 412. What is f in 0 - f + 4/3*f**i - 1/3*f**3 = 0?
0, 1, 3
Let s = -17 + 18. Let q be (-1 + -5)*s/(-9). Let 1/3 - 2/3*m**3 + 1/3*m**5 + 1/3*m**4 - q*m**2 + 1/3*m = 0. Calculate m.
-1, 1
Let g(a) be the first derivative of -1/6*a**3 + 1/8*a**4 - 1/4*a**2 + 1/2*a + 19. Determine h so that g(h) = 0.
-1, 1
Let a = -128/13 - -410/39. Solve t + t**4 - 1/3*t**5 - 2/3*t**3 - a*t**2 - 1/3 = 0 for t.
-1, 1
Let v = -1134 - -1138. Let i(j) be the first derivative of 8*j + j**v + 5 - 8/3*j**3 - 2*j**2. Solve i(q) = 0 for q.
-1, 1, 2
Let v(q) be the first derivative of 250*q + 16 + 25/4*q**4 + 525/2*q**2 - 80*q**3. Let v(g) = 0. What is g?
-2/5, 5
Let m be (3 - 3)/((-22)/(-11)). Find i, given that 1/3*i**3 - 13/3*i**2 + m*i + 0 = 0.
0, 13
Let o(i) = -i**3 - 12*i**2 - 13*i - 17. Let u be o(-11). Factor 28*k**2 + 129*k - 49*k - 5 + u - 12.
4*(k + 3)*(7*k - 1)
Solve -11/5*s**2 - 4/5*s**4 + 13/5*s**3 + 0 + 2/5*s = 0 for s.
0, 1/4, 1, 2
Let a(h) be the first derivative of 7*h**6/27 - 4*h**5/15 + 38. Let a(d) = 0. What is d?
0, 6/7
Let i = -48 - -65. Factor 2 + 14*s + 5*s**2 - i*s**2 - 14*s**3 + 2 + 8*s**2.
-2*(s - 1)*(s + 1)*(7*s + 2)
Let w = 146 + -141. Let r be (w - 81/45) + 4/(-2). Factor 0*y + 3/5*y**2 + r*y**3 + 3/5*y**4 + 0.
3*y**2*(y + 1)**2/5
Factor -8/5*p + 1/5*p**2 + 7/5.
(p - 7)*(p - 1)/5
Suppose 3*c = -3*n + 6, -3*n + 0*n - 2*c + 6 = 0. Suppose n*a = p + 6, 2*a = 3*p - 3*a + 14. Find y such that -1/6*y + 1/3*y**p + 0 - 1/6*y**3 = 0.
0, 1
Determine a so that 1/2*a**2 + 8 - 4*a = 0.
4
Let w(t) be the second derivative of -t**4/12 + 5*t**3/6 - 2*t**2 - 3*t - 121. Let w(p) = 0. What is p?
1, 4
Let p(u) be the second derivative of -u**4/12 + u**3 - 3*u**2 - u. Let y be p(4). Let 2*v**y + 6 + 16*v - 20*v - 4 = 0. What is v?
1
Suppose 0 = m + m - 24. Let f(a) = -7*a + 79. Let p be f(9). Solve -28*r - p - 12*r**2 + m - 37*r**2 = 0.
-2/7
Let a = 1031 + -1031. Determine l, given that a*l + 2/7*l**2 - 2/7 = 0.
-1, 1
Suppose 0 = 2*p - d - 3, 2 = d + 1. Let u = 61 + -54. Factor -2*f + 5*f**2 + u*f**4 + 0*f + p*f**5 + 3*f + 9*f**3.
f*(f + 1)**3*(2*f + 1)
Suppose -2*t + 2*v + 0*v - 2 = 0, 0 = -4*t - 4*v + 28. Let u(q) be the first derivative of 2/5*q - 8/15*q**t - 3/5*q**2 + 3. Factor u(j).
-2*(j + 1)*(4*j - 1)/5
Let w(t) be the third derivative of -t**10/7560 - t**9/3780 + t**8/1680 + t**7/630 - 5*t**4/24 - 5*t**2. Let f(g) be the second derivative of w(g). Factor f(u).
-4*u**2*(u - 1)*(u + 1)**2
Let f(a) be the third derivative of -a**8/10080 + a**7/2520 + 4*a**5/15 - 20*a**2. Let t(v) be the third derivative of f(v). Factor t(j).
-2*j*(j - 1)
Suppose -10*n + 11*n + 5*q = -8, -3*q - 10 = -2*n. Let l be (n/5)/(1 + 1). Let -l*s**3 + 1/5*s**4 + 0*s + 0 + 0*s**2 = 0. Calculate s.
0, 1
Let l = -89 - -77. Let h be ((-2)/8*-1)/((-15)/l). Determine b so that 0 - 2/5*b - 1/5*b**2 + h*b**3 = 0.
-1, 0, 2
Let r be 0 + 14/2 - (6 + 88/(-24)). Let k = 1132/339 + -2/339. Solve 4/3*y + r*y**5 + k*y**2 - 6*y**3 - 10/3*y**4 + 0 = 0.
-1, -2/7, 0, 1
Suppose 4 = 2*c - c, b = -3*c + 15. Find d such that -18*d + 8*d**2 - 5*d + b*d + 8 - 14*d = 0.
1/4, 4
Let b(h) = -4*h**2 - h. Let l(v) = v**3 - 148*v**2 + 193*v. Let s(t) = 22*b(t) - 2*l(t). Let s(u) = 0. What is u?
0, 2, 102
Let u(n) be the third derivative of 0*n**3 + 0*n + 1/660*n**6 + 0 + 0*n**4 - 1/165*n**5 - 6*n**2. Factor u(k).
2*k**2*(k - 2)/11
Let m(n) be the second derivative of -n**5/60 - 23*n**4/36 - 107*n**3/18 - 85*n**2/6 - 762*n. Find v, given that m(v) = 0.
-17, -5, -1
Let p = 509 + -509. Let k(u) be the second derivative of -1/20*u**5 + 1/6*u**3 - 1/6*u**4 + p + 7*u + u**2. Factor k(g).
-(g - 1)*(g + 1)*(g + 2)
Let w(o) = 5*o**2 - o - 20. Let b(m) = m**2. Let l(t) = -4*b(t) + w(t). Factor l(h).
(h - 5)*(h + 4)
Let d = 9810 - 9808. Solve 8/7*o**3 + 30/7*o**d + 0 - 8/7*o = 0.
-4, 0, 1/4
Let x be -4*((-44)/8 - -4). Find r, given that -6*r**3 + 3 + 0*r**2 + x*r + 6*r**2 - 9*r**2 = 0.
-1, -1/2, 1
Let b(n) = n**3 + 3*n**2 - 11*n - 5. Let x be b(-5). Let k(f) be the second derivative of 11*f + 0*f**2 - 1/16*f**4 + 0 + x*f**3 - 3/80*f**5. Factor k(h).
-3*h**2*(h + 1)/4
Let k(j) be the first derivative of 18*j**5/25 - 13*j**4/2 + 298*j**3/15 - 111*j**2/5 + 36*j/5 + 499. What is l in k(l) = 0?
2/9, 1, 3
Factor 24/11*a**2 + 0 + 56/11*a**3 - 10/11*a**4 + 0*a.
-2*a**2*(a - 6)*(5*a + 2)/11
Factor 65/2*h + 170 - 5/2*h**2.
-5*(h - 17)*(h + 4)/2
Let u = -1428/13 - -110. Let o be (-24)/26*81/(-243). Factor -u*a**2 + 2/13*a + o.
-2*(a - 2)*(a + 1)/13
Determine g so that 39*g**5 + 8*g**4 + 37*g**5 - 7*g - 8*g**2 + 6*g**3 - 75*g**5 = 0.
-7, -1, 0, 1
Let a(f) be the third derivative of 11*f**5/630 - 2*f**4/7 + 4*f**3/7 + 213*f**2. Find h such that a(h) = 0.
6/11, 6
Suppose 0*k**2 + 9/4*k + 3/2 - 3/4*k**3 = 0. Calculate k.
-1, 2
Let u = 48 + -43. Let z(m) = 8*m**2 + 6*m + 5. Suppose 120 - 24 = -4*n. Let x(v) = 39*v**2 + 30*v + 24. Let h(y) = n*z(y) + u*x(y). Let h(i) = 0. What is i?
-2, 0
Suppose -60*t - 205 + 33 = -146*t. What is i in -8/5*i**3 + 6/5*i**4 + 0 + 8/15*i**t + 0*i = 0?
0, 2/3
Let g be ((-153)/(-8))/(129/172). Determine w, given that -29/2*w**4 - 1 + 15/2*w + 3*w**5 - 41/2*w**2 + g*w**3 = 0.
1/3, 1/2, 1, 2
Let o(i) = 2*i**5 + 4*i**4 - 11*i**3 - 4*i**2 + 9*i. Let v(x) = -x**5 - 2*x**4 + 6*x**3 + 2*x**2 - 5*x. Let c(n) = 6*o(n) + 11*v(n). Factor c(p).
p*(p - 1)*(p + 1)**3
Solve -43/4*d**2 + 45/4*d**3 + 0 - 1/4*d**5 + 43/4*d**4 - 11*d = 0 for d.
-1, 0, 1, 44
Let s(w) be the first derivative of 2*w**4 - 25*w**3/3 + 3*w**2/2 - 207. Factor s(m).
m*(m - 3)*(8*m - 1)
Let u(j) be the first derivative of -j**7/700 + 7*j**6/900 - j**5/150 - 16*j**3/3 - 8. Let z(f) be the third derivative of u(f). Factor z(m).
-2*m*(m - 2)*(3*m - 1)/5
Let d be (-2 - 77/14)*2/(-3). Suppose 2*a - 5 - 1 = 0. Factor 0*u + 0*u**2 + 0*u**a + 0 + 1/2*u**4 - 1/2*u**d.
-u**4*(u - 1)/2
Suppose -2*b + 4*b - 4 = 0. Suppose 0 = -7*u + b*u + 40. Factor -4*x - 5*x**3 - u - 6*x - 2*x + 4*x**3 - 6*x**2.
-(x + 2)**3
Let b(h) be the second derivative of -h**6/30 - 3*h**5/10 - 5*h**4/12 - 46*h. Determine o, given that b(o) = 0.
-5, -1, 0
Let z(g) be the first derivative of 35 + 1/20*g**5 - 4*g**2 + 8*g + 5/16*g**4 - 1/2*g**3. Let z(o) = 0. What is o?
-4, 1, 2
Suppose -2*k = -0*k - 8. Let t = 47258/3 + -15749. Factor -t*y**3 + 0 - 4*y**2 - y**k - 4/3*y.
-y*(y + 1)*(y + 2)*(3*y + 2)/3
Let u(n) be the third derivative of n**7/315 + n**6/90 - n**5/90 - n**4/18 + n**2 + 24*n. Determine t, given that u(t) = 0.
-2, -1, 0, 1
Let b(v) be the third derivative of v**6/180 - v**5/15 + 11*v**4/36 - 2*v**3/3 + 23*v**2 - 3*v. Suppose b(n) = 0. Calculate n.
1, 2, 3
Let u(i) be the third derivative of 0*i - 2/21*i**3 + 0 + 6*i**2 + 1/28*i**4 - 1/210*i**5. Factor u(j).
-2*(j - 2)*(j - 1)/7
Let z(b) = -2*b**2 + 7*b. Let f(p) be the second derivative of 25*p**4/12 - 15*p**3 + 27*p. Let g(d) = -3*f(d) - 40*z(d). Factor g(c).
5*c*(c - 2)
Factor -5/4*r**2 - r**3 - 1/2*r - 1/4*r**4 + 0.
-r*(r + 1)**2*(r + 2)/4
Let h(v) be the first derivative of -v**7/168 + v**6/120 + v**5/80 - v**4/48 - 12*v - 12. Let z(o) be the first derivative of h(o). Factor z(x).
-x**2*(x - 1)**2*(x + 1)/4
Suppose 73*a = 83*a - 20. Factor -2/11*j**a + 2/11*j + 0.
-2*j*(j - 1)/11
Let g = 44 - 44. Solve g*i**3 + 2*i**3 - 2*i**2 - 5*i - 2*i**2 - 3*i**3 - 2 = 0.
-2, -1
Factor 36 - 3/2*v**3 - 33/2*v**2 + 21*v.
-3*(v - 2)*(v + 1)*(v + 12)/2
Let t(j) = j - 8. Let h be t(11). Suppose o + 