that 229*j + 210*j**4 - 4*j**5 + 630*j**3 + 29*j**5 + 90 + d*j + 820*j**2 = 0.
-3, -1, -2/5
Let o(g) = -g**2 - 6*g + 1. Let t(z) = -1. Let r(k) = o(k) + 4*t(k). Let b be r(-5). What is u in -4*u**3 - 2*u**b - 4 + 4*u - 6*u**2 + 12 = 0?
-2, -1, 1
Let i be 2/6 + -5*(-23)/(-345). Let -2/3*n**2 + 0*n - 1/6*n**4 + 2/3*n**3 + i = 0. What is n?
0, 2
Let a(p) = 34*p**2 + 156*p - 130. Let s(h) = -10*h**2 - 52*h + 44. Let z(f) = 3*a(f) + 10*s(f). Let z(n) = 0. What is n?
1, 25
Let c(j) be the first derivative of 36 + 0*j - 6/5*j**4 - 4/5*j**3 - 9/25*j**5 + 0*j**2. What is r in c(r) = 0?
-2, -2/3, 0
Let c be -3 + 2918/36 - 1/(-6). Let p = c - 78. Determine i so that 2/9*i**4 + 0 - 2/9*i**2 + 2/9*i - p*i**3 = 0.
-1, 0, 1
Factor -105 - 874*c**2 + 859*c**2 + 99*c - 15.
-3*(c - 5)*(5*c - 8)
Solve -681*b + 35 - 21 + 38 + 263*b + 214*b - 16*b**2 = 0 for b.
-13, 1/4
Let z = 245/2 - 100. Find t such that z*t**2 + t - 4 = 0.
-4/9, 2/5
Let c(k) be the first derivative of 0*k**3 - 10 - 2/3*k**6 - 2*k**2 + 0*k + 0*k**5 + 2*k**4. Factor c(w).
-4*w*(w - 1)**2*(w + 1)**2
Let i(d) be the second derivative of -d**6/210 + d**5/70 + d**4/28 + 73*d. Factor i(q).
-q**2*(q - 3)*(q + 1)/7
Let i(d) be the second derivative of 8*d - 13/2*d**2 - 1/120*d**5 - 1/16*d**4 - 1/6*d**3 + 0. Let f(j) be the first derivative of i(j). Factor f(n).
-(n + 1)*(n + 2)/2
Factor -33*h - 29*h + 62*h - 6*h**3 + 3*h**5 - 3*h**4.
3*h**3*(h - 2)*(h + 1)
Let q(p) = 6*p**3 + 14*p**2 - 18. Let u = 4 + -6. Let g(s) = 31*s**3 + 71*s**2 - 91. Let a(v) = u*g(v) + 11*q(v). Factor a(k).
4*(k - 1)*(k + 2)**2
Let d be 4/11*((-2619)/(-54) - 48). Factor -2/11*b + 4/11*b**2 - d*b**4 - 2/11 + 4/11*b**3 - 2/11*b**5.
-2*(b - 1)**2*(b + 1)**3/11
Let s(l) = -2*l**3 - l**2 - l. Let n(o) = -2*o**4 + 2*o**3 + 28*o**2 + 12*o. Let d(x) = n(x) - 6*s(x). Factor d(y).
-2*y*(y - 9)*(y + 1)**2
Suppose -x + 27*z - 29*z = -2, 3*z = -3. Factor 2/13*j**x + 0*j - 2/13*j**3 + 0*j**2 + 0.
2*j**3*(j - 1)/13
Let m(i) be the second derivative of i**4/66 - 16*i**3/33 + 15*i**2/11 + 144*i. Factor m(v).
2*(v - 15)*(v - 1)/11
Suppose -r = -21 + 19. Let f(n) be the second derivative of 0 + 0*n**4 + 1/3*n**3 + 2/3*n**2 - r*n - 1/30*n**5. What is h in f(h) = 0?
-1, 2
Let j = 51 + -54. Let o be j/((-9)/(-15))*(-8)/10. Find l, given that 1/3*l**o + 0 + 0*l + 1/3*l**2 - 2/3*l**3 = 0.
0, 1
Suppose 6*x - 2*x = 2*x. Suppose x = 5*n - 9 - 6. Let -1/3*q**4 - q**2 + 0 - q**n - 1/3*q = 0. Calculate q.
-1, 0
Let g(p) = -10*p**3 + 3*p**2 - p. Let j(r) be the first derivative of 3*r**4/4 - r**3/3 + 31. Let h(s) = 4*g(s) + 14*j(s). What is l in h(l) = 0?
-1, 0, 2
Let r be (44 + -12)*(0 + 1). Let s = r - 27. Determine m so that -12 + 6*m**2 + s*m**3 - 4*m + 2 + 2 + m**4 = 0.
-2, 1
Let u(f) be the first derivative of -f**3/8 + 61*f**2/16 + 21*f/4 + 93. Solve u(j) = 0 for j.
-2/3, 21
Suppose p - 115 = 140. Let f = -2803/11 + p. Determine v, given that -4/11*v - f*v**3 - 6/11*v**2 + 0 = 0.
-2, -1, 0
Let v(d) be the first derivative of -d**2/2 + 7*d + 55. Let j be v(5). Suppose -1/5*z**3 + 0 - 2/5*z**j + 0*z = 0. What is z?
-2, 0
Let v(b) be the first derivative of 4*b**5/35 + 4*b**4/7 + 20*b**3/21 + 4*b**2/7 + 446. Factor v(i).
4*i*(i + 1)**2*(i + 2)/7
Let u(l) = l**2 + 10*l + 12. Let j be u(-9). Factor -7*v**j + 0*v**3 + 2*v**5 + 5*v**3.
2*v**3*(v - 1)*(v + 1)
Let x = -2971 - -11885/4. Let q be (-6)/3 + (-57)/(-24). Factor x*t**3 + 1/4*t**2 - 3/8*t + 1/8*t**5 + 1/8 - q*t**4.
(t - 1)**4*(t + 1)/8
Let x(a) = 17*a**3 - 11*a**2 - 100*a + 72. Let p(c) = -9*c**3 + 6*c**2 + 51*c - 36. Let z(o) = -11*p(o) - 6*x(o). Factor z(n).
-3*(n - 3)*(n - 1)*(n + 4)
Suppose -7*x + 6*x = 0. Suppose 5*h + 2*i + 3*i = 15, x = 5*h - 3*i + 9. Factor 1/10*g**3 + 1/5*g**4 + 0*g + 1/10*g**5 + h + 0*g**2.
g**3*(g + 1)**2/10
Factor -185/2*o - 6845/4 - 5/4*o**2.
-5*(o + 37)**2/4
What is d in -88/5 + 436/5*d + 4*d**2 = 0?
-22, 1/5
Let y(v) = v**3 + 5*v**2 + 2*v - 5. Let z be y(-4). Let w = -86 - -86. Let 0 + w*d**2 - 2/5*d**z + 2/5*d = 0. Calculate d.
-1, 0, 1
Let o = 210071/7 + -30010. Factor -3/7*l**2 + 4/7 + 0*l - o*l**3.
-(l - 1)*(l + 2)**2/7
Let c be 4/(-30) + (-62)/(-15). Determine v so that -2*v**4 - v**2 + 4*v**2 + c*v - v - 3*v**3 - v**4 = 0.
-1, 0, 1
Let h = -4667/6 + 778. Let k(p) be the second derivative of -1/20*p**5 - 7*p + 0*p**3 + 0 + 1/42*p**7 + 1/15*p**6 - h*p**4 + 0*p**2. Factor k(b).
b**2*(b - 1)*(b + 1)*(b + 2)
Factor -7/4*q - 3 - 1/4*q**2.
-(q + 3)*(q + 4)/4
Let x(k) be the second derivative of k**6/10 + 21*k**5/20 + 7*k**4/2 + 4*k**3 + 2*k + 95. Factor x(q).
3*q*(q + 1)*(q + 2)*(q + 4)
Let d(j) = 58*j - 9334. Let o be d(161). Factor -6*g**3 + 3/2*g**5 + 0*g**o + 0*g**2 + 0 + 0*g.
3*g**3*(g - 2)*(g + 2)/2
Let l(y) = -12*y**2 - 57*y - 3. Let k = -4 + -1. Let g(v) = 56034 + 2*v**2 - 56035 - 14*v - 5*v**2. Let d(f) = k*l(f) + 21*g(f). Find i, given that d(i) = 0.
-2, -1
Let -1141 - 179 - 1705 - 110*f + 4*f**2 - 5*f**2 = 0. What is f?
-55
Suppose 2*p - 4*s - 18 = 0, -22*p + 24*p = 6*s + 24. Let 0*l**2 - 1/6*l**p + 0 + 1/6*l = 0. What is l?
-1, 0, 1
Let r(m) be the first derivative of m**3/3 + 15*m**2/2 + 23. Let y be r(-15). Find d such that y*d - 2/3*d**3 - 2/3*d**5 + 0*d**2 + 0 - 4/3*d**4 = 0.
-1, 0
Let v(o) be the first derivative of 2*o**3/7 - 81*o**2/7 - 24*o + 202. Factor v(h).
6*(h - 28)*(h + 1)/7
Factor 32*x**5 + 167*x**2 - 18*x**5 - 27*x**4 - 168*x**3 - 15*x**5 + 29*x**2.
-x**2*(x - 1)*(x + 14)**2
Let t = 50 + -30. Let -2*a**2 - 2*a**2 + t*a - 526 + 2*a**2 + 476 = 0. What is a?
5
Factor -320*n + n**3 + 220 + 67*n**2 + 28*n**2 + 4*n**3.
5*(n - 2)*(n - 1)*(n + 22)
Let x(t) = -2*t**4 - t**2 - 1. Let s(i) = -22*i**4 + 260*i**3 + 246*i**2 + 48*i + 14. Let c(v) = -2*s(v) - 28*x(v). Factor c(w).
4*w*(w - 6)*(5*w + 2)**2
Let o(t) = -1558*t - 6232. Let y be o(-4). Suppose 0 + 1/2*z**4 + y*z + 0*z**2 + z**3 = 0. What is z?
-2, 0
Let a(g) = g**3 + 10*g**2 - g - 8. Let d be a(-10). Determine p so that 5 + 3 - 5*p**2 + 3*p**d = 0.
-2, 2
Factor 2*o**2 - 10*o**3 + 139*o**5 + 11*o - 140*o**5 - 7*o**4 + 8 - 3.
-(o - 1)*(o + 1)**3*(o + 5)
Let h(a) be the third derivative of -a**6/30 - a**5/6 + 23*a**4/12 - 10*a**3/3 - 5*a**2 + 15. Suppose h(v) = 0. What is v?
-5, 1/2, 2
Let u be (-2)/4 + (4/56 - -1). Let w(n) be the first derivative of -5/7*n**2 - u*n + 3 - 1/14*n**4 - 8/21*n**3. Factor w(p).
-2*(p + 1)**2*(p + 2)/7
Let r = 49/510 - -6/85. Let l(p) be the second derivative of -1/10*p**5 + 0 + 0*p**2 - 3*p + 2/3*p**3 - r*p**4. Factor l(m).
-2*m*(m - 1)*(m + 2)
Let q(w) = -w**2 - 1 - 3 + 16 - 7*w - 2*w. Let g be q(-10). Factor 19/3*v + 21*v**3 + 2/3 + 20*v**g.
(3*v + 1)**2*(7*v + 2)/3
Let w = 504 + -504. Let x(z) be the third derivative of 1/8*z**4 + 6*z**2 - 7/240*z**5 + w + 1/6*z**3 + 0*z. Suppose x(o) = 0. What is o?
-2/7, 2
Let k = -65 + 68. Factor 41 - 41 - j**3 - j**k + 2*j.
-2*j*(j - 1)*(j + 1)
Let v = -12255 + 12257. Factor -4/5*k**3 - 12/5*k**v - 4/5 - 12/5*k.
-4*(k + 1)**3/5
Let s(l) = 7*l**3 + 2*l**2 + 5*l. Suppose -3*r + 11 + 1 = 0. Suppose 5 = -r*f + 29. Let m(v) = -4*v**3 - v**2 - 3*v. Let p(y) = f*s(y) + 10*m(y). Factor p(u).
2*u**2*(u + 1)
Let x(w) be the second derivative of -2*w**3 + 0 - w**4 + 12*w + 0*w**2 + 3/20*w**5 + 1/10*w**6. What is q in x(q) = 0?
-2, -1, 0, 2
Let n(f) = f**2 + 7*f + 12. Let a = 19 - 23. Let v be n(a). Factor 0 + v*d + 0*d**2 + 1/4*d**3.
d**3/4
Let k(h) = -14*h - 1. Let b be k(-4). Suppose 2*w = -3*w + b. Factor -w*n - 3*n**2 + 5*n + 4*n + n**2.
-2*n*(n + 1)
Let c(v) = -66*v**3 - 1314*v**2 - 11232*v - 10038. Let i(l) = -5*l**3 - 101*l**2 - 864*l - 772. Let a(y) = -2*c(y) + 27*i(y). Factor a(p).
-3*(p + 1)*(p + 16)**2
Let i be (15/36)/((-1925)/(-231)*(-1)/(-5)). Factor -2 + 7/2*n - 3/4*n**2 - n**3 + i*n**4.
(n - 4)*(n - 1)**2*(n + 2)/4
Let x(l) be the second derivative of l**4/20 + 6*l**3 + 270*l**2 + l - 21. Suppose x(r) = 0. What is r?
-30
Let d(a) be the first derivative of -2*a**3/15 + 4*a**2/5 + 2*a - 30. Factor d(z).
-2*(z - 5)*(z + 1)/5
Suppose -2*o + 4*j = 4, -130*o - 4*j = -134*o. Factor -1/10*r + 0 + 1/10*r**o.
r*(r - 1)/10
Let l(z) be the second derivative of z**8/1344 - z**7/84 + z**6/16 - z**5/6 - 2*z**4/3 - 4*z. Let q(r) be the third derivative of l(r). What is n in q(n) = 0?
1, 4
Suppose 0 = 21*n + 135 - 261. Let y(c) be the 