ine y so that 0 - a*y + q*y**2 = 0.
0, 1
Let k(q) be the first derivative of 3*q**5/25 - 27*q**4/10 + 32*q**3/5 - 257. Solve k(g) = 0 for g.
0, 2, 16
Let z(d) be the first derivative of -5*d**3/3 + 45*d**2 + 200*d - 63. Determine v, given that z(v) = 0.
-2, 20
Let j = 3955/2964 + -1/988. Suppose 4/3 + 4*g + j*g**3 + 4*g**2 = 0. Calculate g.
-1
Let h(j) = -4*j**2 - 2 - 5*j + 2*j**3 - 6*j**3 + 8*j**3. Let r(y) = y**3. Suppose -4*t + 15 = -t. Let w(i) = t*r(i) - h(i). Factor w(b).
(b + 1)**2*(b + 2)
Let p(o) be the second derivative of o**5/20 - 7*o**4/12 + 61*o - 2. Suppose p(f) = 0. What is f?
0, 7
Let s(m) = -5*m**3 - 161*m**2 + 2349*m - 2191. Let d(j) = 2*j**3 - j**2 + 1. Let i(w) = -4*d(w) - s(w). Find c such that i(c) = 0.
1, 27
Let a(g) be the first derivative of -g**6/18 + 7*g**5/15 - 2*g**4/3 - 16*g**3/9 + 180. Factor a(w).
-w**2*(w - 4)**2*(w + 1)/3
Suppose -4 = 2*h - 6. Factor h + 1 + 3*k**3 - 2*k + 15*k**2 + 26*k + 10.
3*(k + 1)*(k + 2)**2
Let i(w) = 3*w**2 - w - 2. Let o be i(-1). Factor 3*u + u + 14*u**o - 10*u**2.
4*u*(u + 1)
Suppose 0 = 4*r - 4*k, 19*r - 4*k + 10 = 20*r. Solve 7/2*g + 9/2*g**r + 5/2*g**3 + 1/2*g**4 + 1 = 0.
-2, -1
Let w(j) be the first derivative of -3*j**5/35 - 3*j**4/14 - j**3/7 + 754. Suppose w(i) = 0. What is i?
-1, 0
Factor -9*h**2 - 9*h - 1/3*h**4 + 0 - 3*h**3.
-h*(h + 3)**3/3
Let w(g) = -g**2 + g + 3. Let o be 2/11 - (-4)/(-22). Let m be w(o). Suppose -8/13*d + 16/13 + 2/13*d**m - 4/13*d**2 = 0. What is d?
-2, 2
Suppose -4*v + 4*w = -6*v + 18, w = v. Let -5*u**3 + 12*u**2 + 15*u**4 - 25*u**v - 3*u**5 + 6*u**3 = 0. What is u?
0, 1, 2
Factor 0*i**2 + 48 + 0*i**2 + 2*i**2 - 170*i + 87*i + 103*i.
2*(i + 4)*(i + 6)
Suppose 2*y + y = 9. Suppose 5*o + 0*o - 24 = -2*a, y*o + 3*a = 18. Factor -8 - 12*d + 0 + 2*d**2 - o*d**2 - 2*d**2.
-4*(d + 1)*(d + 2)
Let z(m) be the third derivative of 0*m - 2/105*m**7 + 1/6*m**3 + 0 - 1/24*m**6 + 5/24*m**4 - 21*m**2 + 1/20*m**5. Factor z(h).
-(h - 1)*(h + 1)**2*(4*h + 1)
Let l(y) be the third derivative of 2/3*y**3 + 0*y - 3/4*y**4 - 1/168*y**8 + 0 - 7/30*y**6 + 2/35*y**7 - 5*y**2 + 8/15*y**5. Solve l(p) = 0 for p.
1, 2
Suppose c = 4*a - c - 270, 0 = -3*c - 3. Let i be (-5 + a/14)*-4. Determine m so that 0*m**2 + i*m**4 - 2/7*m**5 - 4/7*m**3 + 0 + 0*m = 0.
0, 1, 2
Let x(k) = 4*k**5 - 4*k**3 - 16*k**2 + 8*k - 8. Let b(r) = r**3 - r**2 + r - 1. Let g(a) = -8*b(a) + x(a). Find m, given that g(m) = 0.
-1, 0, 2
Find p such that -4 - 2/3*p**2 + 14/3*p = 0.
1, 6
Let v = -31 + 33. Suppose f + 5*g - 2 = -0*f, v*g + 2 = f. Find t such that 1/5 + 1/5*t**f + 2/5*t = 0.
-1
Let z(d) be the third derivative of -1/18*d**4 - 1/90*d**5 - 8*d**2 + 1/60*d**6 + 0 + 0*d**3 + 0*d. Suppose z(a) = 0. Calculate a.
-2/3, 0, 1
Let x(h) be the first derivative of -h**4/4 + 8*h**3/3 - 3*h**2 - 4*h - 12. Let n be x(7). Factor 0 + 0*u**2 + 0*u - 1/3*u**4 + 1/3*u**n.
-u**3*(u - 1)/3
Let -453*b**3 - 33*b**3 + 147*b + 6 + 47*b**5 + 2214*b**5 + 331*b**5 + 897*b**2 - 5184*b**4 = 0. What is b?
-1/3, -1/12, 1/2, 2
Let n(h) be the second derivative of -h**4/90 + 14*h**3/45 - 13*h**2/15 + 147*h. Factor n(x).
-2*(x - 13)*(x - 1)/15
Solve -5/4 - 3/2*x**3 + 3/2*x + 1/4*x**4 + x**2 = 0.
-1, 1, 5
Let j be 6 + (-3)/(-9)*75. Suppose -j = 2*n + 5*u - 22, n + 3*u = -6. Factor -2/3*c**n + 1/3*c**5 + 0*c**2 + 0 + 1/3*c + 0*c**4.
c*(c - 1)**2*(c + 1)**2/3
Suppose 0 = 4*s - n - 21, -4 - 18 = -5*s - 3*n. Let o be (-17 + s)*(0 + 4/(-36)). Find f such that -4/3*f + o - 1/3*f**4 + 4/3*f**3 - f**2 = 0.
-1, 1, 2
Let u = -4140 + 4142. Factor 4/9*i**3 - 2/9*i**u - 2/9*i**4 + 0 + 0*i.
-2*i**2*(i - 1)**2/9
Factor -841/5 + 58/5*t - 1/5*t**2.
-(t - 29)**2/5
Let b = 4594 - 22967/5. Factor b*z**3 + 9/5*z + 9/5*z**2 + 3/5.
3*(z + 1)**3/5
Suppose 142*k = -38*k - 325*k. Factor 0*q**3 + k + 4/7*q**4 - 4/7*q**2 + 2/7*q - 2/7*q**5.
-2*q*(q - 1)**3*(q + 1)/7
Let k(h) be the first derivative of -h**4/14 + 2*h**3/21 + 35. Factor k(f).
-2*f**2*(f - 1)/7
Let x(v) be the second derivative of 0 + 25/4*v**4 + 65/6*v**3 + 7/4*v**5 + 20*v + 10*v**2 + 1/6*v**6. Factor x(f).
5*(f + 1)**3*(f + 4)
Let z = -5254 - -5254. Suppose 0*u**4 + 0*u**2 + 1/2*u**5 + z*u + 0 - 1/2*u**3 = 0. Calculate u.
-1, 0, 1
Let t = 481 - 479. Let d(c) be the third derivative of 0*c - 1/30*c**3 - c**t + 0*c**4 + 1/300*c**5 + 0. Let d(u) = 0. What is u?
-1, 1
Let d(y) = y**2 + y. Let h(q) be the second derivative of -q**4/4 - 3*q**3/2 + q**2 - 6*q. Let k(i) = -5*d(i) - h(i). Factor k(s).
-2*(s - 1)**2
Suppose 10*a - 4 = 8*a. Factor -3*z + 2*z**2 - 2 - 14*z**2 - a*z**4 - 5*z - 8*z**3.
-2*(z + 1)**4
Let t be ((-272)/24 - -12)*(-2)/(-22)*6. Factor -t*g**3 - 2/11*g**2 + 4/11*g + 2/11*g**4 + 0.
2*g*(g - 2)*(g - 1)*(g + 1)/11
Let o(m) = m + 1. Suppose -5*u + u = -24. Let z be o(u). Factor 4 - z*p - 2*p + 0*p + 2*p**3 + 3*p.
2*(p - 1)**2*(p + 2)
Suppose 79*p = 60*p + 76. Factor -8*s - 16/5 - 14/5*s**3 - 36/5*s**2 - 2/5*s**p.
-2*(s + 1)*(s + 2)**3/5
Let -13/3 - 1/3*b**2 + 14/3*b = 0. Calculate b.
1, 13
Let o(p) = -2909*p**3 + 2450*p**2 - 681*p + 64. Let n(a) = -a**3 + a**2 - a. Let t(y) = -14*n(y) - 2*o(y). Suppose t(l) = 0. What is l?
1/4, 8/27
Suppose -2*o - 3*z + 26 = 0, 3*z - z = -2*o + 22. Let m(x) = x**2 - 6*x - 4. Let h be m(o). Factor 12/5*b**h - 3/5 + 12/5*b - 3/5*b**4 - 18/5*b**2.
-3*(b - 1)**4/5
Suppose -2*a - 2*u + 12 = 0, 4*a - 12*a + 6 = u. Suppose -1/11*w - 1/11*w**2 + a = 0. Calculate w.
-1, 0
Let b = -2963 + 8891/3. Factor b*t - 4/3*t**2 + 4/3 - 2/3*t**3.
-2*(t - 1)*(t + 1)*(t + 2)/3
Let c(j) = j**2 + 9*j - 10. Let s = -10 - -6. Let o(g) = g**2 - 1. Let f(r) = -r**2 - 26*r - 68. Let x be f(-23). Let z(k) = s*o(k) + x*c(k). Factor z(p).
-3*(p - 2)*(p - 1)
Let l = 982 - 978. Let 0 + 1/2*k**5 - k**l - 1/2*k + k**2 + 0*k**3 = 0. What is k?
-1, 0, 1
Let t(w) be the first derivative of w**6/8 + 3*w**5/2 + 51*w**4/16 + 2*w**3 - 13. Suppose t(k) = 0. What is k?
-8, -1, 0
Let l(o) be the second derivative of 0 - 1/98*o**7 + 3/14*o**3 + 22*o - 3/70*o**5 + 1/7*o**4 - 2/35*o**6 + 0*o**2. Determine n, given that l(n) = 0.
-3, -1, 0, 1
Let v = -1 - -1. Let d be 2/(-35)*(7 + -7 - 5). Determine x, given that d*x**2 + v + 2/7*x = 0.
-1, 0
Let s(a) be the third derivative of 0*a**3 + 0 - 1/525*a**7 - 7/150*a**5 + 1/60*a**6 + 1/20*a**4 - 5*a**2 + 0*a. Solve s(n) = 0 for n.
0, 1, 3
Let m(u) be the third derivative of 15*u**2 + 58/105*u**7 + 0*u**4 - 32/15*u**6 + 0 + 16/15*u**5 + 0*u**3 + 0*u - 1/24*u**8. Factor m(k).
-2*k**2*(k - 4)**2*(7*k - 2)
Suppose -q + 0*z = 3*z - 6, 2*z - 5 = -q. Let u(b) be the second derivative of -7/18*b**4 + 2/3*b**2 + 8*b + 0 - 5/9*b**q. Factor u(w).
-2*(w + 1)*(7*w - 2)/3
Suppose -148 + 224 = 19*d. Let b(j) be the second derivative of 1/2*j**2 - 11*j + 0*j**3 + 0 - 1/12*j**d. Factor b(f).
-(f - 1)*(f + 1)
Factor 0*r**3 + 735 + 382*r + 31*r**2 + 54*r**2 + 5*r**3 + 73*r.
5*(r + 3)*(r + 7)**2
Let v be (1 - -1 - 2240/400)*(-45)/42. Factor 3/7*n**2 + 24/7*n - v.
3*(n - 1)*(n + 9)/7
Let l(s) be the second derivative of -s**6/40 - 3*s**5/16 - 9*s**4/16 - 7*s**3/8 - 3*s**2/4 - 233*s. Factor l(n).
-3*(n + 1)**3*(n + 2)/4
Let i(a) = 11*a**4 - 5*a**3 - a**2 + 8*a - 3. Let x(m) = -13*m**4 + 6*m**3 - 8*m + 3. Let w(k) = 6*i(k) + 5*x(k). Find y, given that w(y) = 0.
-3, 1
Factor -13/5*g**2 + 13/5 - 1/5*g**3 + 1/5*g.
-(g - 1)*(g + 1)*(g + 13)/5
Let g(c) be the third derivative of -c**7/210 - c**6/40 + c**5/30 + c**4/2 + 4*c**3/3 + 70*c**2. Factor g(i).
-(i - 2)*(i + 1)*(i + 2)**2
Let t(w) be the third derivative of -w**6/600 - 4*w**5/75 - w**4/8 + 179*w**2 - 1. Factor t(o).
-o*(o + 1)*(o + 15)/5
Let l = 5/14347 + 28679/43041. Solve 10/3*j**2 + l*j**3 + 8/3 + 16/3*j = 0 for j.
-2, -1
Suppose 4*f + f = 75. Suppose f = 4*u + 7. Suppose 93*c - 1 - 89*c + 3 + u*c**2 = 0. Calculate c.
-1
Let b(a) be the first derivative of a**4/6 + 38*a**3/9 + 64*a**2/3 + 40*a - 347. Suppose b(z) = 0. What is z?
-15, -2
Let j(z) be the third derivative of -z**8/1848 + z**7/1155 + z**6/132 + z**5/110 - 48*z**2. Find n, given that j(n) = 0.
-1, 0, 3
Let v(t) be the second derivative of -t**9/1512 - t**8/420 + t**7/420 + t**6/90 - t**3/2 - 6*t. Let d(c) be the second derivative of v(c). Solve d(k) = 0 for k.
-2, -1, 0, 1
Let s(i) be the third derivative of -i**7/735 + i**6/35 - 9*i**5/70 + 3*i**2 - 25*i. So