0*a - 6/5*a**5 - 8 + 3/4*a**4. Determine h so that n(h) = 0.
0, 1
Let v = -51 + 112. Suppose d = 62 + 2. Find w, given that w + d*w**2 - v*w**2 + 3 + 5*w = 0.
-1
Suppose 39*r + 28 = 145. Let g(d) be the first derivative of 3/2*d + 25/18*d**r - 5 + 5/2*d**2. Determine t, given that g(t) = 0.
-3/5
Let u(y) be the third derivative of -y**7/504 + y**6/144 + y**5/4 - 5*y**4/8 - 7*y**2. Let i(f) be the second derivative of u(f). Solve i(k) = 0 for k.
-2, 3
Suppose -4*z = j - 65, 0 = 4*z - 4*j - 65 + 5. Suppose -z*k + 16 = -16. Factor -9/8*q**k - 9/8*q - 3/8*q**3 - 3/8.
-3*(q + 1)**3/8
Let 0*i + 3*i**2 + 0 + 5/2*i**5 - 3*i**4 - 29/2*i**3 = 0. What is i?
-2, 0, 1/5, 3
Let u(r) be the third derivative of r**5/180 + 17*r**4/72 + 8*r**3/9 + 168*r**2. Factor u(m).
(m + 1)*(m + 16)/3
Let r(x) be the second derivative of -11*x**5/5 - 91*x**4/4 + 239*x**3/6 - 21*x**2 + 3*x + 35. Determine c, given that r(c) = 0.
-7, 1/4, 6/11
Let c = 7375/3 - 2457. Determine q so that -c*q**2 - 14/3*q + 2/3*q**3 - 8/3 = 0.
-1, 4
Suppose -6*o + 50 - 38 = 0. Factor o - 82 - 155*i + 42*i**2 - 32*i**2.
5*(i - 16)*(2*i + 1)
Suppose 3*w = -4*v - 24, -3*w = 2*v - 5*w - 2. Let y be (v - 6/(-2))/2. Find s, given that 2/7*s - 4/7*s**2 + y + 2/7*s**3 = 0.
0, 1
Let f = 128/33 - 413/132. Factor 1/2*q + 0 - f*q**2.
-q*(3*q - 2)/4
Let b = 26 - 33. Let p = 12 + b. Find f, given that 20*f**2 - p*f**5 - 7*f**2 + 20*f**4 - 3*f**2 - 25*f**3 = 0.
0, 1, 2
Factor -4/9 - 2/3*i - 2/9*i**2.
-2*(i + 1)*(i + 2)/9
Let k = -54 - -57. Find z such that 6*z**5 - 3*z**5 - z**5 - 2*z**4 - 2*z**k + 2*z**2 = 0.
-1, 0, 1
Let b(p) = 10*p**4 - 200*p**3 - 215*p**2 + 160*p + 320. Let i(n) = n**4 - 25*n**3 - 27*n**2 + 20*n + 40. Let m(l) = 3*b(l) - 25*i(l). Let m(y) = 0. Calculate y.
-2, 1
Let b(r) be the first derivative of -2*r**6 + 56*r**5/5 + 31*r**4 - 152*r**3/3 - 56*r**2 + 96*r + 306. Suppose b(a) = 0. What is a?
-2, -1, 2/3, 1, 6
Let m(g) be the third derivative of -7*g**5/240 + 47*g**4/96 + 7*g**3/12 - 9*g**2 + 1. Determine l so that m(l) = 0.
-2/7, 7
Let o(j) = -7*j**3 - 14*j**2 - 17*j - 5. Let t(h) = -20*h**3 - 42*h**2 - 52*h - 16. Let y(q) = 14*o(q) - 5*t(q). Suppose y(m) = 0. What is m?
-5, -1
Find i such that -2/7*i - 24/7 + 5/7*i**2 + 1/7*i**3 = 0.
-4, -3, 2
Let m = -119 + 124. Let q(a) be the first derivative of -50*a**3 - 6 - 55*a**4 + 4*a**2 + 8*a + 2/5*a**m + 12*a**6. Let q(z) = 0. Calculate z.
-1, -1/4, 2/9, 2
Let p = -2 + 4. Suppose -5*a - 4*n + 40 = 0, -4 = 4*n - 24. Factor -4*v**p - a*v**2 + 7*v**2.
-v**2
Factor -3/4*c**3 - 18 + 27/4*c**2 - 21/2*c.
-3*(c - 6)*(c - 4)*(c + 1)/4
Let x(p) = 31*p + 159. Let o be x(-5). Factor d**3 - d + 1/2*d**2 - 1/2*d**o + 0.
-d*(d - 2)*(d - 1)*(d + 1)/2
Let v = -130 + 133. Solve 3*j**v + 0*j**3 - 101*j + 4*j**2 + 102*j = 0.
-1, -1/3, 0
Suppose -25*i - 24*i + 7*i = 5*i. Determine n so that i*n**2 + 12*n**4 - 10*n**5 + 0 - 18/5*n**3 + 0*n = 0.
0, 3/5
Let i be 3/(-3 + 99/30). Suppose 9*x = i*x. Determine g, given that 2*g + 2*g**4 - 2*g**3 - 4*g**2 + 2*g**2 + x*g**2 = 0.
-1, 0, 1
Let q(r) be the first derivative of -4*r**3/3 + 18*r**2 - 56*r - 121. Factor q(u).
-4*(u - 7)*(u - 2)
Let s(d) be the first derivative of 2*d**6/15 - 28*d**5/25 + 2*d**4 + 24*d**3/5 - 54*d**2/5 - 108*d/5 + 40. Factor s(l).
4*(l - 3)**3*(l + 1)**2/5
Let q(r) = -685*r - 3422. Let x be q(-5). Factor -6/5 + 3/5*j**4 + 3/5*j**3 - 9/5*j**2 - x*j.
3*(j - 2)*(j + 1)**3/5
Let p = 37757/20 - 9419/5. Let z(b) be the third derivative of p*b**5 + 2*b**3 - 5*b**2 + 0*b + 0 - 9/2*b**4. What is t in z(t) = 0?
2/9
Let b(y) be the second derivative of y**6/40 - 3*y**5/16 + 3*y**4/16 + 9*y**3/8 + 12*y - 1. What is g in b(g) = 0?
-1, 0, 3
Let s(d) be the second derivative of 0*d**2 + 4/45*d**3 - 1/6*d**5 + 0 + 2/45*d**4 - 1/9*d**6 + 3*d. Let s(p) = 0. Calculate p.
-1, -2/5, 0, 2/5
Let b(j) be the first derivative of -12/7*j + 17/7*j**2 - 21 + 2/7*j**3. Factor b(u).
2*(u + 6)*(3*u - 1)/7
Let t(o) = -3*o**3 + 8*o**2 + 17*o + 14. Let h(y) = 3*y**3 - 9*y**2 - 15*y - 15. Let s(w) = -2*h(w) - 3*t(w). Find m such that s(m) = 0.
-1, 4
Suppose 7/2*b**2 - 1/6*b**3 + 23/6 + 15/2*b = 0. Calculate b.
-1, 23
Let b(x) = -7*x**3 + 13*x**2 + 11. Let v = -51 + 40. Let h(c) = -4*c**3 + 7*c**2 + 6. Let d(u) = v*h(u) + 6*b(u). Let d(j) = 0. What is j?
-1/2, 0
Find y, given that 1411*y - 162 + y**5 + 438*y**2 + 279*y**3 + 1445*y + 27*y**4 + 907*y**2 + 609 + 1317 = 0.
-7, -6, -1
Let h be (-1746)/(-27) - (-4)/(-6). Suppose -316*v**4 + 9*v**3 + 16 - 91*v + 219*v - 137*v**3 + h*v**4 + 236*v**2 = 0. What is v?
-1, -2/7, -2/9, 1
Let c(b) = -b + 64. Let o be c(-8). Let i = o + -70. Solve -2/9*q**i - 2 - 4/3*q = 0.
-3
Let x(b) = b**3 + 6*b**2 + 3*b. Let p be x(-5). Find y such that -144*y**5 + p*y**3 - 39*y**3 - 4*y**3 - 120*y**4 - 3*y**2 = 0.
-1/3, -1/4, 0
Suppose -5*y + 0 + 45 = 0. Factor -4*f**5 - f**3 + 5*f**4 - 4*f**3 + y*f**5 - 5*f**2.
5*f**2*(f - 1)*(f + 1)**2
Let l(p) be the second derivative of 2*p**6/15 - 17*p**5/5 + 35*p**4 - 550*p**3/3 + 500*p**2 + 262*p. Factor l(k).
4*(k - 5)**3*(k - 2)
Let k be (3 + -2)*(-1 + 0). Let c = 1 - k. Solve -8 + 6*p**3 + 4*p**4 - 3*p**5 - p**4 + 10 + 1 - 6*p**c - 3*p = 0 for p.
-1, 1
Let a(x) be the second derivative of -x**6/120 - x**5/16 - x**4/24 + x**3/3 + 26*x - 1. Let a(y) = 0. What is y?
-4, -2, 0, 1
Suppose -5 = 3*a - 4*m, -4*a + 5*m = 4 + 1. Let h(i) = i**3 - 3*i**2 - 7*i + 3. Let q be h(a). Factor -12*p - 10*p**4 + 10*p**2 + 4*p**3 - 10*p + q*p.
-2*p*(p - 1)*(p + 1)*(5*p - 2)
Let m(f) = 2*f**2 - 180*f + 186. Let a(x) = -4*x**2 + 361*x - 375. Let w(k) = 4*a(k) + 9*m(k). Factor w(y).
2*(y - 87)*(y - 1)
Let r(n) be the second derivative of 2*n**6 + 0 - 30*n + 6/7*n**7 + 1/3*n**4 + 0*n**2 + 7/5*n**5 + 0*n**3. Let r(z) = 0. Calculate z.
-1, -1/3, 0
Let b be 1/2*(-2 + 0). Let s = b + 7. Suppose 2*m**2 - 3 - s*m - 3*m**2 - 2*m**2 = 0. What is m?
-1
Let r(q) be the first derivative of -5*q**3/3 - 320*q**2 - 20480*q - 20. Suppose r(a) = 0. What is a?
-64
Let d be 405/(-10)*(5 - 3). Let w be (4/(-6))/(135/d). Factor w*b**2 + 0*b + 0 - 1/5*b**3.
-b**2*(b - 2)/5
Let w(o) be the third derivative of 14*o**2 - 3/160*o**6 + 1/32*o**4 - 1/40*o**5 + 0*o + 0*o**3 + 0. Determine b so that w(b) = 0.
-1, 0, 1/3
Suppose -i + 21 = -19. Suppose -i = -5*b - 5*n - 10, 20 = 3*b + 4*n. Factor 8*o + 8*o**4 + 6*o**4 + b*o**2 + 6*o**4 - 32*o**3.
4*o*(o - 1)**2*(5*o + 2)
Let i(s) = s**2 - 1. Let u = -34 - -30. Let l(p) = -79*p**2 - 95*p - 26. Let k(r) = u*i(r) - l(r). Suppose k(o) = 0. What is o?
-2/3, -3/5
Let l(m) be the second derivative of m**4/72 - m**3/18 - m**2/4 - 14*m. Find n such that l(n) = 0.
-1, 3
Let s(j) be the second derivative of 1/15*j**5 - 17*j + 0*j**4 - 1/3*j**2 - 2/9*j**3 + 1/45*j**6 + 0. What is m in s(m) = 0?
-1, 1
Let g(u) be the third derivative of u**6/360 + u**5/60 - u**3/2 - 5*u**2. Let q(t) be the first derivative of g(t). Factor q(n).
n*(n + 2)
Find i, given that -9*i - 23*i**3 - 14 - 41*i**3 + 65*i**3 + 6*i**2 = 0.
-7, -1, 2
Let t be ((4 - 4) + (-12)/(-21))*(-49)/(-14). Factor 0 - 1/3*p**t + 0*p - 1/3*p**3.
-p**2*(p + 1)/3
Suppose 2*c - 3*z - 71 = 0, 2*z + 35 = c + 2. Suppose 5*h + c = 58. What is b in -2/3*b**2 + 1/3*b**h + 0 + 1/3*b = 0?
0, 1
Let j(v) = v**2 + 6*v - 11. Let i be j(-8). Suppose -i*c = -c - 680. Determine u so that 0*u**3 + 170 - c - 2*u**2 + 4*u**3 = 0.
0, 1/2
Suppose -47*j**3 + 4*j**2 - 42*j**3 - 70 + 86*j**3 + 216*j + 298 + 41*j**2 = 0. Calculate j.
-2, 19
Suppose 2 = u + u, 4*u - 16 = 3*p. Let d be ((-44)/(-77))/(p/(-14)). Factor 4/3*m**3 + 0 - 2/3*m**d - 2/3*m.
2*m*(m - 1)*(2*m + 1)/3
Suppose u = 3*w + 13, -5*w - 19 = -4*u - 4*w. Let c = 6 - u. Suppose 5*q**c - 4*q - 10*q**2 - 13*q**2 - 14*q**3 = 0. Calculate q.
-1, -2/7, 0
Factor -3/5*w**3 + 3/5*w - 114/5 + 114/5*w**2.
-3*(w - 38)*(w - 1)*(w + 1)/5
Let i(k) be the second derivative of -11*k + 0*k**2 + 0 + 3/20*k**5 + 5/2*k**4 + 25/2*k**3. Factor i(n).
3*n*(n + 5)**2
Let n(a) be the second derivative of 5*a**4/36 - a**3/3 - 4*a**2/3 - 164*a. Find r, given that n(r) = 0.
-4/5, 2
Find c, given that 4/3*c**4 - 10/3*c + 10/3*c**3 - 10/3*c**2 + 2 = 0.
-3, -1, 1/2, 1
Suppose -9*k = 14*k. Let h be (k/1)/(-13 - -10). Factor 0*j + h - 1/2*j**2.
-j**2/2
Let d(a) be the third derivative of a**7/1470 + a**6/420 - a**5/105 - 