32/3*m = 0.
-31, -1
Let c = 1498 - 16476/11. Solve -2/11 + 4/11*v - c*v**2 = 0 for v.
1
Let c(y) = y**2 - 6*y - 17. Let g be c(7). Let v be (54/21)/((-2)/(28/g)). Determine d, given that 4/5*d**3 + 0 + 0*d + 0*d**2 + 14/5*d**5 + v*d**4 = 0.
-1, -2/7, 0
Let g(v) be the first derivative of -v**5/20 + 3*v**4/8 - v**3/3 - 3*v**2/4 + 5*v/4 + 56. Factor g(z).
-(z - 5)*(z - 1)**2*(z + 1)/4
Suppose -3*p = 4*m + 18, 5*m + 5 = 4*p + p. Let x be -5 + (-52)/(-16) - 6/m. Factor 0 + x*s**2 + 1/4*s**3 - 1/2*s.
s*(s - 1)*(s + 2)/4
Let z(f) = -f**5 - 32*f**4 + 14*f**3 + 17*f**2 - 13*f - 5. Let v(t) = 14*t**4 - 6*t**3 - 8*t**2 + 6*t + 2. Let l(b) = -5*v(b) - 2*z(b). Solve l(p) = 0.
-1, 0, 1, 2
Let c = 78 + -75. Factor 2*x**5 - 38*x**2 + 30*x**2 + 4*x**4 - c*x**5 - 2*x**4 - 2 + 2*x**3 + 7*x.
-(x - 1)**4*(x + 2)
Let m(h) be the second derivative of -h**6/105 - 19*h**5/70 - 13*h**4/7 + 20*h**3/3 + 200*h**2/7 - h + 62. Let m(r) = 0. Calculate r.
-10, -1, 2
Let z(b) = -11*b + 20*b - 10*b. Let x be z(-2). Determine q so that -2*q - 12 + 14*q + 164*q**x - 167*q**2 = 0.
2
Let m(j) be the first derivative of -j**3/3 - 4*j**2 - 16*j - 80. Determine c so that m(c) = 0.
-4
Let p(o) be the third derivative of -7*o**5/12 + 65*o**4/12 + 20*o**3/3 - o**2 - 18. Determine k, given that p(k) = 0.
-2/7, 4
Suppose -16 = -4*z - 5*j + 4*j, -4*z + 2*j = -4. Suppose l + 10 = 3*l. Factor -2*t + z*t + 3*t**2 - 2*t**3 + t**l - 3*t**2.
t*(t - 1)**2*(t + 1)**2
Let a(d) = -4*d + 2. Let z be a(-2). Let f be 21/28 + z/8. Factor -20 + 29 + 23 - 16*q + 2*q**f.
2*(q - 4)**2
Factor -1/2*v**3 + 3/5*v**2 + 1/10*v**4 - 4/5 + 2/5*v.
(v - 2)**3*(v + 1)/10
Let d(b) = -11*b**2 + 23*b. Let o(h) = -5*h**2 + 11*h. Let n(f) = -3*d(f) + 7*o(f). Factor n(i).
-2*i*(i - 4)
Let x(q) be the third derivative of q**5/12 - 50*q**4/3 + 4000*q**3/3 + 88*q**2. Find c such that x(c) = 0.
40
Let q(a) = 6*a**4 + 18*a**3 - 62*a**2 - 162*a + 8. Let g(b) = -2*b**4 - 6*b**3 + 21*b**2 + 54*b - 3. Let k(f) = -8*g(f) - 3*q(f). Factor k(n).
-2*n*(n - 3)*(n + 3)**2
Let c = -21 - -27. Find k such that -2*k**2 + c*k**2 - 6*k**3 + 5*k**3 + 5*k**3 = 0.
-1, 0
Let z(f) = f**3 + 10*f**2 + 7*f + 4. Let m be z(-9). Factor -4*b + b - 6*b**3 - 19 + 15*b**4 + 9*b**5 + m - 18*b**2.
3*(b - 1)*(b + 1)**3*(3*b - 1)
What is m in 1/9*m**3 + 0*m - 1/9*m**5 - 2/9*m**2 + 2/9*m**4 + 0 = 0?
-1, 0, 1, 2
Let o be 3 + (-6)/(-10) + -5 + 415/225. Factor 0 + 1/9*r**5 + 4/9*r - 1/3*r**3 - o*r**2 + 2/9*r**4.
r*(r - 1)**2*(r + 2)**2/9
Let j(k) = -41*k - 30. Let o be j(-11). Factor -31*t + 520*t**2 - 29*t - o*t**4 + 16*t**4 - 1035*t**3.
-5*t*(t + 3)*(9*t - 2)**2
Suppose 16*m**2 + 15/2*m**3 + 19/2*m + 1 = 0. What is m?
-1, -2/15
Let l(y) = -2*y**4 + 6*y**3 + 2*y**2 + 6*y. Let r(x) = 4*x**4 - 12*x**3 - 5*x**2 - 13*x. Suppose 0 = 9*j - 12*j - 39. Let b(f) = j*l(f) - 6*r(f). Factor b(m).
2*m**2*(m - 2)*(m - 1)
Solve -1/6*v**2 + 4/3*v - 5/2 = 0 for v.
3, 5
Let r = -33 - -64. Suppose 6*q = 71 + r. Factor -11 - 9*b - b**2 + 4*b**2 + q.
3*(b - 2)*(b - 1)
Let s = 869/498 - 13/166. Factor -4/3*j**2 - 1/3 + s*j.
-(j - 1)*(4*j - 1)/3
Let s(f) = -f**3 - 1. Let c(g) = -3*g**3 + 51*g**2 - 27*g - 9. Suppose -z = 8*z + 54. Let j(n) = z*s(n) - c(n). Determine o, given that j(o) = 0.
-1/3, 1, 5
Suppose 1/4*i**5 + 0 + 3/4*i**2 + 0*i + 5/4*i**4 + 7/4*i**3 = 0. What is i?
-3, -1, 0
Suppose 0 = 2*m + 3*d - 35, -5*d = 4*m - 0*d - 65. Suppose -y**4 - 28*y**3 + 5*y**5 + 18*y**3 + 5 - m*y**2 + 6*y**4 + 5*y = 0. Calculate y.
-1, 1
Let z(p) be the first derivative of 2*p**5/55 + 3*p**4/22 - 8*p**3/33 - 78. Let z(n) = 0. What is n?
-4, 0, 1
Let f(c) be the first derivative of -c**4/9 - 6*c**3 - 262*c**2/9 - 74*c/3 + 144. Let f(i) = 0. What is i?
-37, -3, -1/2
Let x be (-105)/5 - (-3283)/147. Determine u, given that 2/3*u + 2/3*u**5 + x*u**2 - 2/3*u**4 - 4/3*u**3 - 2/3 = 0.
-1, 1
Let 8214/11*i - 101306/11 - 222/11*i**2 + 2/11*i**3 = 0. Calculate i.
37
Let j(k) be the first derivative of k**4/4 + 23*k**3/3 + 21*k**2 + 177. What is u in j(u) = 0?
-21, -2, 0
Factor -2400*v + 2*v**4 + 1152 - 23*v**3 + 1346*v**2 - 157*v**3 + 80*v**3.
2*(v - 24)**2*(v - 1)**2
Solve 4 - 11*l**3 - 3*l**4 - 4*l**5 + 2*l**4 - 3*l**2 - l**5 + 8*l + 8*l**5 = 0 for l.
-1, -2/3, 1, 2
Let d = -8 + 8. Suppose 3*s + d = 6. Factor -i + 15*i + i**2 - 11*i**s - 4.
-2*(i - 1)*(5*i - 2)
Suppose 32 + 48 = -8*y. Let n be (-25)/y - 2*(-2)/8. Factor -2*a**n - 1/5*a - 2/5 - 2/5*a**4 + 3/5*a**5 + 12/5*a**2.
(a - 1)**3*(a + 2)*(3*a + 1)/5
Suppose 14/5*i**2 + 2/5*i**3 + 18/5 + 6*i = 0. What is i?
-3, -1
Let m = 6272/5 + -1254. Let r = -3 - -3. Solve r + m*d - 1/5*d**2 = 0 for d.
0, 2
Suppose -199*f = -214 - 184. Suppose -8 - 4*m**f - 1/2*m**3 - 10*m = 0. Calculate m.
-4, -2
Let b(o) be the second derivative of -o**7/84 + 3*o**6/10 - 3*o**5 + 46*o**4/3 - 44*o**3 + 72*o**2 - 29*o + 3. Factor b(j).
-(j - 6)**2*(j - 2)**3/2
Let h(f) = -f. Let y(k) = -k**3 - 5*k**2 - 2*k. Suppose -5*s = -2*a + 7, 9*s = 7*s - 2*a. Let b(j) = s*y(j) - 2*h(j). Determine l so that b(l) = 0.
-4, -1, 0
Let d = -136 - -86. Let p be (1 - 0/1) + 49 + d. Let p*k - 1/2*k**2 + 1/2 = 0. Calculate k.
-1, 1
Let j be 196/168*60/280. Solve d**3 + 5/4*d**2 + 1/2*d + 0 + j*d**4 = 0.
-2, -1, 0
Let y(t) be the first derivative of -3*t**6/2 - 57*t**5/5 - 63*t**4/2 - 42*t**3 - 57*t**2/2 - 9*t + 347. Suppose y(c) = 0. Calculate c.
-3, -1, -1/3
Let d be 6/(-15) - 34/(-10). Suppose -2*v + 25 = -39 + 60. Factor -2/11*b**v + 0*b + 0 + 2/11*b**d.
2*b**2*(b - 1)/11
What is w in 24*w + 23*w + 2*w**3 + 18*w - 51*w - 5 - 1 - 10*w**2 = 0?
1, 3
Let z = -12028 + 85248/7. Let p = z + -150. Find u, given that 0 - p*u**2 + 2/7*u = 0.
0, 1
Let p(a) be the first derivative of -a**6/18 + 4*a**5/15 - a**4/4 - 4*a**3/9 + 2*a**2/3 - 85. Let p(m) = 0. Calculate m.
-1, 0, 1, 2
Let r(l) be the first derivative of -8/5*l**5 - 4 - 4*l - 12*l**3 - 10*l**2 - 7*l**4. Find x such that r(x) = 0.
-1, -1/2
Let b = 1/9 + -7/90. Let u(k) be the second derivative of 0*k**2 + 0 + 3*k + b*k**4 + 1/5*k**3. Solve u(g) = 0.
-3, 0
Suppose -5*g = r + 13 - 1, r = -g. Factor -r*w**3 - 24*w**2 + 0*w**3 - 29*w + 29*w.
-3*w**2*(w + 8)
Factor -1/3*z**2 + 5/3 + 4/3*z.
-(z - 5)*(z + 1)/3
Suppose 15 = -8*z + 13*z. Suppose 3 = 4*m - z*o, 0 = -2*m - 2*m + 5*o - 3. Let 0 + 18/7*h**2 - 4/7*h - 2*h**m = 0. Calculate h.
0, 2/7, 1
Find i such that -214*i - 105 + 9*i**3 + 2*i**4 + 402*i + 432*i**2 + 784*i + 43*i**3 - 1353 = 0.
-9, 1
Let r(z) = -3*z**3 - 2*z**2 + 4*z + 7. Let a(n) = 2*n**3 + 1. Let x(g) = -a(g) - r(g). Solve x(t) = 0.
-2, 2
Suppose 11*t - 4*j = 8*t - 16, 5*t = -5*j + 20. Let k(b) be the second derivative of t + 1/9*b**3 - 1/12*b**5 + 0*b**2 + 5*b - 1/12*b**4. Factor k(a).
-a*(a + 1)*(5*a - 2)/3
Suppose 2*z = -z + 84. Factor -2*d**3 + 36 + 12*d**3 - 6*d**3 + z*d**2 + 60*d.
4*(d + 1)*(d + 3)**2
Find y, given that 6*y + 0 - 3/2*y**4 - 27/2*y**3 + 3*y**5 + 6*y**2 = 0.
-2, -1/2, 0, 1, 2
Solve -5/3*m**4 + 20/3*m**2 - 1/3*m**5 + 0 + 0*m + 4/3*m**3 = 0 for m.
-5, -2, 0, 2
Suppose -7*s + 15 = -4*s. Suppose -7*o + 3*o = x - 20, o + 3*x = s. Factor 3*j**2 + 9*j**2 + 3*j**5 + 15*j**4 + 12*j**3 + 0*j**o + 12*j**3.
3*j**2*(j + 1)*(j + 2)**2
Let x(g) = -g**2 - 7*g + 1. Let z be x(-10). Let n = z - -31. Find j, given that -28*j + 41*j + 12*j**n - 25*j + j**3 + 4 - 5*j**3 = 0.
1
Let h = 2 + 1. Suppose d - 10 = h*d. Let q(n) = -9*n**2 - 13*n + 1. Let o(i) = 4*i**2 + 6*i. Let g(y) = d*o(y) - 2*q(y). Factor g(s).
-2*(s + 1)**2
Let k(u) = 3*u**3 + 5*u**2 + 2*u. Let o(z) = 8*z**3 + 14*z**2 + 6*z. Suppose 0 = 3*t + 3*i - 3, 4*i = -3*t + 4*t - 21. Let m(r) = t*o(r) - 14*k(r). Factor m(j).
-2*j*(j - 1)*(j + 1)
Let k(x) be the first derivative of -1/3*x**6 + 4/3*x**3 - 16 - x**4 + 3*x**2 - 6/5*x**5 + 2*x. Factor k(b).
-2*(b - 1)*(b + 1)**4
Let w(f) = f**3 + 22*f**2 - 202*f + 33. Let t be w(-29). Determine i so that -4/5 - 6/5*i**3 + 2/5*i**2 + 6/5*i + 2/5*i**t = 0.
-1, 1, 2
Let q = -68 + 91. Factor q*c - 53 - 22*c**2 - 2*c**3 + 7*c**3 + 47.
(c - 3)*(c - 1)*(5*c - 2)
Let x(z) = -z**2 - 11*z + 352. Let m be x(-25). Factor 2 - 4/3*v + 2/9*v**m.
2*(v - 3)**2/9
Factor -x**2 + 7*x + 2 - 15*x**2 + 0*x**2 + 7*x**2.
-(x - 1)*(9*x + 2)
Let y be (-1)/((-6)/5) + 185 + -185. Let 2/3 + y*i**2 - 4/3*i - 1/6*i**3 = 0. Calculate i.
1, 2
Suppose 2 = 9*o - 52. Suppose