t s(g) be the third derivative of g**4/24 - 9*g**2. Let f(c) = 10*c**2 - 3*c + 2. Let b(z) = 2*f(z) - 18*s(z). Let b(v) = 0. Calculate v.
1/5, 1
Suppose u + m + 13 = 6*m, -u = 4*m - 14. Let i(a) be the third derivative of 0 - 1/40*a**6 + u*a**3 - 8*a**2 + 0*a**4 - 3/20*a**5 + 0*a. Factor i(j).
-3*(j - 1)*(j + 2)**2
Let g = 2/22847 + 22839/91388. Find j such that -g*j**2 + 5/4*j**4 + 3*j - 1 - 3*j**3 = 0.
-1, 2/5, 1, 2
Suppose -4*u + 15 = -u. Let f(j) = -j**3 - 12*j**2 + 5*j - 5. Let w(b) = b**3 + 6*b**2 - 2*b + 2. Let m(n) = u*w(n) + 2*f(n). Solve m(i) = 0 for i.
-2, 0
Let k(w) = -3*w + 4. Let q be k(-2). Let b(v) = v - 7. Let g be b(q). Suppose 29*f**3 + 0*f + 11*f**g + f - 36*f**5 - 5*f = 0. What is f?
-1, -1/3, 0, 1/3, 1
Suppose -5*o - 89 = -114. Let n(x) be the third derivative of -1/300*x**o + 1/60*x**4 + 0*x - 1/30*x**3 + 8*x**2 + 0. Suppose n(a) = 0. What is a?
1
Let m be 175/(-21)*(-36)/30. Let g(z) be the second derivative of 0*z**2 + 0*z**3 + 1/20*z**5 + m*z + 1/12*z**4 + 0. Find c, given that g(c) = 0.
-1, 0
Let q = -2/7207 + 57678/79277. Determine j so that 2/11*j**4 + 4/11*j + 0 + 10/11*j**2 + q*j**3 = 0.
-2, -1, 0
Let g = -90 - -452/5. Let l be (-6)/2 + 285/75. Suppose l*o**3 + 1/5 - 2/5*o**2 - 2/5*o**5 - g*o + 1/5*o**4 = 0. What is o?
-1, 1/2, 1
Let i(y) = 6*y**2 + 3*y. Let a(o) be the third derivative of o**5/60 - o**4/24 - o**3/6 - 25*o**2. Let j(g) = 3*a(g) - i(g). Let j(p) = 0. Calculate p.
-1
Let l(g) be the first derivative of -4 - 4/3*g**3 - 16*g - 3*g**4 + 16*g**2. Factor l(f).
-4*(f - 1)*(f + 2)*(3*f - 2)
Suppose -87*y + 45 + 81 = -135. Determine r, given that 0*r + 0*r**2 + 0 - 1/4*r**5 - 1/4*r**4 + 0*r**y = 0.
-1, 0
Factor -3/5*q**3 + 12/5*q + 9/5*q**2 + 0.
-3*q*(q - 4)*(q + 1)/5
Let v(c) = 8*c**5 + 2*c**4 + 8*c**3 + 6. Let w(b) = b**5 - b**4 + 1. Let f(q) = -2*v(q) + 12*w(q). Find p such that f(p) = 0.
-2, 0
Let u(c) be the third derivative of c**5/60 - 5*c**4/12 + 2*c**3 + c**2. Let o be u(9). Solve 3*j**4 - 7*j**o - 3*j**2 - 2*j - 3*j**5 + 14*j**3 - 2*j**5 = 0.
-1, -2/5, 0, 1
Suppose -5*a - 15 = -f - 10, 4*f = a + 20. Find k, given that 2/9*k**3 + 0 - 4/9*k**4 + a*k + 0*k**2 + 2/9*k**5 = 0.
0, 1
Let x(f) be the third derivative of -f**7/1260 - f**6/40 - 2*f**5/9 + f**4/8 + 9*f**3/4 - f**2 - 61. Find q such that x(q) = 0.
-9, -1, 1
Suppose f + 6*f - 28 = 0. Let 9*m**5 - 32*m**2 - 43*m**4 + 3*m**5 + 28*m**3 + 24*m**2 + 11*m**f = 0. What is m?
0, 2/3, 1
Let v(r) be the second derivative of -32/3*r**2 - 208/9*r**3 - 125/63*r**7 + 0 - 184/9*r**4 + 5*r + 4/3*r**5 + 70/9*r**6. Find s, given that v(s) = 0.
-2/5, 2
Let y(z) be the third derivative of z**6/240 + 3*z**5/20 + 227*z**2. Find o, given that y(o) = 0.
-18, 0
Let r(v) be the third derivative of 0*v**6 + 0 + 7/20*v**5 - 5*v**2 + 0*v**3 - 1/70*v**7 + 0*v - 3/4*v**4. What is j in r(j) = 0?
-3, 0, 1, 2
Let s(z) be the second derivative of -z**5/100 - z**4/30 + 7*z**3/30 - 2*z**2/5 - z - 24. Factor s(j).
-(j - 1)**2*(j + 4)/5
Factor -251 + 3*n**3 - 73 + 704*n + 5*n**3 + 16*n - 148*n**2.
4*(n - 9)**2*(2*n - 1)
Let n = -1478 + 1482. Let k(y) be the first derivative of 1/3*y**n + 4/3*y**2 - 4/3*y**3 - 8 + 0*y. Factor k(q).
4*q*(q - 2)*(q - 1)/3
Let j(a) = 9*a**2 - 204*a + 167. Let g(l) = -4*l**2 + 102*l - 86. Let k(p) = -7*g(p) - 3*j(p). Determine n, given that k(n) = 0.
1, 101
Suppose t + 5*c = 3*t - 5, -5*c = -t + 5. Let f = 3 - t. Factor -2*i**2 - 7*i**3 + 4*i - 4*i**3 + 9*i**f.
-2*i*(i - 1)*(i + 2)
Let r(m) be the third derivative of m**7/945 + m**6/180 - m**5/90 - 7*m**4/108 + 2*m**3/9 + 121*m**2. Let r(u) = 0. Calculate u.
-3, -2, 1
Suppose -29 = 5*d - 79. Let h(l) = -l**3 + 11*l**2 - 11*l + 14. Let t be h(d). Solve -3*k - 3*k**3 - 3*k + t*k + 5*k**3 = 0 for k.
-1, 0, 1
Let r be (0 - 18/8)/((-3)/240). Solve -36*y**4 + r*y**4 - 280*y**2 - 266*y**2 + 75*y**3 - 216 + 27*y**5 - 684*y = 0.
-3, -2/3, 2
Let y(h) be the second derivative of -h**5/40 + 27*h**4/8 - 140*h**3 + 400*h**2 + h - 69. Find v such that y(v) = 0.
1, 40
Factor 1/6*v**4 - 28*v - 47/6*v**2 + v**3 + 392/3.
(v - 4)**2*(v + 7)**2/6
Let r be (6 + -9)*(-7)/(252/200). Suppose -2*i - 6 + 10 = 0. Factor -r - 2/3*z**i + 20/3*z.
-2*(z - 5)**2/3
Let i(z) = 8*z**2 + 40*z + 80. Let q(t) = -11*t**2 - 41*t - 78. Let g(k) = 5*i(k) + 4*q(k). Factor g(c).
-4*(c - 11)*(c + 2)
Let t(w) be the third derivative of -w**5/420 - 11*w**4/28 + 67*w**3/42 - 15*w**2 - 7*w. Factor t(f).
-(f - 1)*(f + 67)/7
Let k(a) = 9*a**5 + 6*a**4 - 4*a**3 - a**2 - 5. Let t(w) = -11*w**5 - 7*w**4 + 5*w**3 + w**2 + 6. Let l(g) = -6*k(g) - 5*t(g). Factor l(m).
m**2*(m - 1)**2*(m + 1)
Let t be 10/4 - 3/(-6)*1. Let m be (4/10)/(20/75) + t. Factor 0*r - m*r**3 + 9/2*r**4 + 3/2*r**2 + 0 - 3/2*r**5.
-3*r**2*(r - 1)**3/2
Suppose 10*m = 5*m - 12*m. Let k = -27/4 - -197/28. Find s, given that 2/7*s**5 - 2/7*s**2 + 0 + k*s**4 + m*s - 2/7*s**3 = 0.
-1, 0, 1
Let x(s) be the second derivative of -2/57*s**3 - 1/114*s**4 - 1/19*s**2 + 0 - s. Factor x(y).
-2*(y + 1)**2/19
Let y(r) be the first derivative of -r**4/4 - r**2/2 + r + 7. Let d(p) = -15*p**3 + 3*p**2 - 33*p + 27. Let b(g) = -d(g) + 18*y(g). Factor b(c).
-3*(c - 1)**2*(c + 3)
Let j(m) be the first derivative of m**5/40 - m**4/4 + 3*m**3/4 - 17*m - 20. Let n(a) be the first derivative of j(a). Solve n(p) = 0.
0, 3
Let o be 118/(-6) + (-5)/(-3) + -2. Let g(b) = 8*b**3 - 10*b**2 + 16*b + 14. Let t(w) = -w**3 + w**2 - w - 1. Let d(a) = o*t(a) - 2*g(a). Factor d(j).
4*(j - 2)*(j + 1)**2
Let u = 21 + -45. Let t be 9/6*u/(-18). Let 2/9*b**4 + 0 - 2/9*b**3 - 2/9*b**t + 2/9*b = 0. What is b?
-1, 0, 1
Let j(u) be the second derivative of 0 - 1/42*u**4 - 3*u - 4/21*u**3 - 3/7*u**2. Factor j(g).
-2*(g + 1)*(g + 3)/7
Let r be ((-4)/7*1)/((-44)/154). Let n(x) be the first derivative of 2/39*x**3 + 0*x**r - 2/13*x - 9. Factor n(q).
2*(q - 1)*(q + 1)/13
Suppose -3*f = -f + q + 284, -f + 5*q - 142 = 0. Let d = f + 144. Let 2/5*g**d - 8/5 + 8/5*g - 2/5*g**3 = 0. What is g?
-2, 1, 2
Let h(r) be the third derivative of -r**7/735 - r**6/420 + r**5/210 + r**4/84 - 388*r**2. Factor h(p).
-2*p*(p - 1)*(p + 1)**2/7
Let b(x) be the third derivative of x**9/7560 + x**8/840 + x**7/315 - 3*x**4/8 + 2*x**2. Let i(q) be the second derivative of b(q). Let i(z) = 0. What is z?
-2, 0
Let g be (-14)/63 + 2/9 + 0. Let n(r) be the second derivative of 1/90*r**6 - 1/126*r**7 + g*r**2 + 7*r - 1/36*r**4 + 0 + 1/60*r**5 + 0*r**3. Factor n(z).
-z**2*(z - 1)**2*(z + 1)/3
Let x(v) be the second derivative of -v**6/30 + 17*v**5/10 - 253*v**4/12 - 102*v**3 - 162*v**2 - 325*v. Let x(q) = 0. What is q?
-1, 18
Suppose 5*s = -4*y - 20, -3*s - 29 = -5*y - 17. Let a(t) be the second derivative of 0*t**4 - 1/75*t**6 + y*t**2 + 0*t**3 - 5*t + 0 + 1/50*t**5. Factor a(h).
-2*h**3*(h - 1)/5
Let u(q) be the third derivative of q**9/1512 + q**8/480 + q**7/630 - 5*q**4/24 - 15*q**2. Let k(v) be the second derivative of u(v). Factor k(p).
2*p**2*(p + 1)*(5*p + 2)
Let t = 0 - 5/12. Let q = 73/60 + t. Let -1/5*l**4 - 6/5*l**3 - q - 12/5*l - 13/5*l**2 = 0. Calculate l.
-2, -1
Let s be -1 - (-2 - 6/(-10)). Let w be (0*13/(-39))/(3 - (1 - -5)). Factor -4*y**4 + s*y**2 + 0*y + w + 3/5*y**3.
-y**2*(4*y + 1)*(5*y - 2)/5
Let f(a) be the first derivative of -a**4/12 - 301*a**3/9 - 3800*a**2 - 7500*a + 661. Let f(v) = 0. Calculate v.
-150, -1
Let a(g) = -g**2 + 29*g + 73. Let o be a(31). Suppose -9*f = -o*f. Factor -v + 9/2*v**2 - 6*v**3 + 5/2*v**4 + f.
v*(v - 1)**2*(5*v - 2)/2
Suppose 3*y + 10 = -f, 1 + 5 = -5*f - 4*y. Determine h so that 3*h**3 + 5*h**3 + 2*h**2 + 4*h**4 + 0*h**3 + 2*h**f = 0.
-1, 0
Factor 200/7 - 130/7*s - 2/7*s**3 + 4*s**2.
-2*(s - 5)**2*(s - 4)/7
Let g(v) be the first derivative of v**7/315 + v**6/15 + 2*v**5/5 - 16*v**2 - 44. Let q(i) be the second derivative of g(i). Factor q(a).
2*a**2*(a + 6)**2/3
Suppose -5*h + 23 = -17. Let z(w) = w - 8. Let k be z(h). Find v, given that -2/9*v**4 + k + 4/9*v**2 + 0*v - 2/9*v**3 = 0.
-2, 0, 1
Suppose 766 = -5*w - 39. Let q = w + 1451/9. Find c, given that 2/9*c - q*c**3 + 2/9*c**4 - 2/3*c**2 + 4/9 = 0.
-1, 1, 2
Let f(b) be the first derivative of 2*b**7/105 - b**6/25 - 3*b**5/50 + b**4/15 - 14*b - 5. Let w(v) be the first derivative of f(v). Solve w(u) = 0.
-1, 0, 1/2, 2
Let u(t) be the second derivative of t**