 z be o(7). Let c(d) = 3*d**2 - 4*d - 1. Let u be c(z). Factor 0 - 8/13*r + 2/13*r**4 + 0*r**2 + 6/13*r**u.
2*r*(r - 1)*(r + 2)**2/13
Let g(v) = 5*v**2 - 44*v + 576. Let o(l) = 4*l**2 - 45*l + 576. Let p(a) = 3*g(a) - 4*o(a). Factor p(q).
-(q - 24)**2
Determine k, given that 9*k**3 + 2*k + 2*k**3 + 6*k - 6*k**3 - 4*k**4 - 20*k**2 + 11*k**3 = 0.
0, 1, 2
Let t(l) be the first derivative of l**4/14 + 62*l**3/21 - 69*l**2/7 - 198*l/7 + 236. Factor t(q).
2*(q - 3)*(q + 1)*(q + 33)/7
Let g = -5 - -8. Let m = 20017 - 20015. Factor 4/3*b**g - 4/3*b + 0*b**m + 2/3 - 2/3*b**4.
-2*(b - 1)**3*(b + 1)/3
Solve 46*k**2 + 12*k**5 - 39*k + 2*k**4 - 17*k**5 + 30*k**3 + 3*k**5 + 59*k = 0.
-2, -1, 0, 5
Let s(m) = 1738*m**3 - 1063*m**2 - 179*m + 59. Let y(u) = -290*u**3 + 177*u**2 + 30*u - 10. Let w(o) = -4*s(o) - 26*y(o). What is l in w(l) = 0?
-2/7, 3/14, 2/3
Let u = -12 + 16. Factor -s**4 + 4 + 7*s**u - 14*s**3 + 16*s**2 + 7*s**5 - 8*s**5 - 9*s - 2.
-(s - 2)*(s - 1)**4
Factor 0 - 6*w**2 - 2/7*w**3 + 0*w.
-2*w**2*(w + 21)/7
Suppose 28*k - 24*k - 12 = 0. Let b(s) be the first derivative of 0*s + s**2 - 8 + 2/3*s**k. Determine v, given that b(v) = 0.
-1, 0
Let l(j) be the third derivative of -1/360*j**5 - 1/720*j**6 + 21*j**2 + 0*j**3 + 0*j + 0*j**4 + 0. Determine q so that l(q) = 0.
-1, 0
Let v = -4754 - -4754. Factor 10/11*a**5 + 2/11*a - 16/11*a**2 + 36/11*a**3 + v - 32/11*a**4.
2*a*(a - 1)**3*(5*a - 1)/11
Suppose 132*m = 77*m. Find q, given that m + 3/2*q**2 - 1/2*q - 3/2*q**3 + 1/2*q**4 = 0.
0, 1
Let h(k) be the second derivative of -k**9/37800 - k**8/4200 - k**7/1575 - k**4/2 + 8*k. Let o(b) be the third derivative of h(b). Let o(u) = 0. Calculate u.
-2, 0
Let t = 136 + -124. Factor -t - 85*p**2 + 35*p - 3 + 75*p**2.
-5*(p - 3)*(2*p - 1)
Let k(u) be the first derivative of u**4/6 + 2*u**3/9 - 2*u**2/3 - 30. Suppose k(v) = 0. What is v?
-2, 0, 1
Let h(r) = r**5 - r**4 - r**2 - r - 1. Let g(f) = 3*f**5 - 5*f**4 - f**3 + f**2 - 2*f - 2. Let x(o) = -g(o) + 2*h(o). Let x(y) = 0. What is y?
-1, 0, 1, 3
Let m(k) be the first derivative of k**5/140 - k**4/56 - k**3/7 - 6*k**2 - 4. Let h(r) be the second derivative of m(r). Solve h(p) = 0 for p.
-1, 2
Let r(i) be the third derivative of 0 + 1/240*i**6 + 0*i**3 + 0*i + 13*i**2 + 1/12*i**4 + 1/30*i**5. Factor r(m).
m*(m + 2)**2/2
Suppose 20 = 3*a - 2*h - 9, -h + 44 = 5*a. Suppose z + a = 4*z. Factor 8*q**z - 116*q**2 - 5*q**4 + 121*q**2 - 3*q**3 - 5*q.
-5*q*(q - 1)**2*(q + 1)
Suppose -4*g - 267 = 2*l - 303, -2*l - g = -18. Suppose 1/3*h**3 - 52/3*h - 40/3 + 1/3*h**4 - l*h**2 = 0. What is h?
-2, 5
Suppose 5*p**5 - 2 + 25*p - 1 - 1865*p**2 - 30*p**3 + 1845*p**2 + 3 + 20*p**4 = 0. Calculate p.
-5, -1, 0, 1
Solve 97*b**4 + 2*b**5 - 103*b**4 + 2*b**3 + 2*b**2 - 4*b + 4*b**2 = 0.
-1, 0, 1, 2
Suppose -5*v + v = 5*k - 147, -33 = -k + v. Let j = k - 13. Factor -3*m - 3*m**3 + 3 + 15*m**2 - j*m + 6.
-3*(m - 3)*(m - 1)**2
Let w be ((-10)/15)/((-2)/4). Let 2/3*m**2 + w*m + 2/3 = 0. What is m?
-1
Let c(f) be the second derivative of -3/16*f**4 + 14*f + 1/80*f**5 + f**3 + 0 - 2*f**2. Factor c(m).
(m - 4)**2*(m - 1)/4
Let o(a) = a**2 - a - 1. Let k = -92 + 91. Let m(q) = q**4 + 6*q**3 + 3*q**2 + 10*q + 6. Let g(r) = k*m(r) - 6*o(r). Factor g(l).
-l*(l + 1)**2*(l + 4)
Let h(f) be the second derivative of f**6/60 - f**4/4 + 2*f**3/3 - 15*f**2/2 - f. Let a(t) be the first derivative of h(t). Factor a(j).
2*(j - 1)**2*(j + 2)
Let q(f) be the first derivative of f**4/4 + 139*f**3/3 + 4899*f**2/2 + 4761*f + 331. Factor q(w).
(w + 1)*(w + 69)**2
Let d(h) = 13*h - 44. Let t be d(20). Let j = t + -1076/5. Solve 1/5 - 4/5*u + j*u**2 = 0.
1/2
Let i(c) = -c**3 - 10*c**2 + 12*c + 13. Let a be ((-23)/(-46))/((-2)/44). Let h be i(a). Factor 4*b + 2*b**h + 8/3 + 1/3*b**3.
(b + 2)**3/3
Suppose 0 = 5*t - 32 + 7. Suppose 3*a = -4*u + 54, a = t*u - a - 79. Find k, given that 25*k**3 - 1 + 15/2*k + 7/2*k**5 - 20*k**2 - u*k**4 = 0.
2/7, 1
Suppose -2*f = 2*f + 20, -3*l - 23 = -2*f. Let a = 45/4 + l. Factor -1/4*y**2 + a + 0*y.
-(y - 1)*(y + 1)/4
Factor 16/7*i**2 + 2/7*i**4 - 8/7*i + 0 - 10/7*i**3.
2*i*(i - 2)**2*(i - 1)/7
Suppose -7*w - 2 = -9. Let c(r) = -10*r**5 + 6*r**4 + 2*r**3 - 10*r**2 + 4*r. Let m(y) = -y**5 - y**4. Let k(a) = w*c(a) - 4*m(a). Solve k(z) = 0 for z.
-1, 0, 2/3, 1
Let y(u) = u - 1. Let h(s) = s**3 - 3*s**2 - 4*s + 6. Let g(f) = -h(f) - 6*y(f). Factor g(w).
-w*(w - 2)*(w - 1)
Let i = 36 + -36. Let t(d) be the third derivative of 1/24*d**4 + 0 + i*d + 4*d**2 - 1/60*d**5 + 0*d**3. Factor t(x).
-x*(x - 1)
Suppose -18*c = -15*c + 18. Let n be (-11)/((-132)/(-18))*8/c. Solve -4/3*f + 2/9*f**2 + n = 0.
3
Let p be (4 - 1)*1 + (9 - 10). Determine d so that 14*d + 3*d**3 + 16 - 4*d**2 - 7*d**3 + p*d = 0.
-2, -1, 2
Suppose -2*n - 4 = -n, 5*s + 12 = -3*n. Let b(d) be the second derivative of -1/3*d**4 - 3/5*d**5 + 0 - 2*d + 0*d**3 - 1/6*d**6 + s*d**2. Solve b(j) = 0 for j.
-2, -2/5, 0
Let p be (((-348)/(-580))/((-6)/4))/(-1). Factor -24/5 - p*m**2 - 26/5*m.
-2*(m + 1)*(m + 12)/5
Let c(j) = 15*j**2 - 225*j + 126. Let v(s) = s**2 - 9*s + 1. Let f(d) = -c(d) + 12*v(d). Suppose f(o) = 0. Calculate o.
1, 38
Let m(j) be the third derivative of 0*j**3 - 2/315*j**7 + 0 - 1/18*j**4 - 1/15*j**5 + 0*j - 1/30*j**6 - 11*j**2. Factor m(h).
-4*h*(h + 1)**3/3
Find i such that -33/2*i**2 + 27/4*i**5 - 105/4*i + 279/4*i**4 + 159/2*i**3 + 27/4 = 0.
-9, -1, 1/3
Suppose 0 = -5*w + 4*w + 42. Let q be 5/(-25) - w/(-10). What is z in -16*z**2 + 9*z - 3*z**q - 3*z**4 - 2 + z**5 - 42*z**3 + 56*z**3 = 0?
1, 2
Let v(x) be the first derivative of -2*x**6/3 + 8*x**5 - 33*x**4 + 160*x**3/3 - 32*x**2 + 74. Factor v(s).
-4*s*(s - 4)**2*(s - 1)**2
Let p(l) = -l**2 - 16*l + 20. Let x be p(-17). Let f be x/(-21) - (-58)/14. Find m such that 0*m + 0*m**2 + 3/4*m**3 + 3/4*m**f + 0 = 0.
-1, 0
Let f = -760 + 762. Let s(x) be the first derivative of -3/2*x**f - 2*x + 12*x**4 + 28/5*x**5 + 7 + 19/3*x**3. Factor s(h).
(h + 1)*(2*h + 1)**2*(7*h - 2)
Factor 63*m**2 + 102*m**3 + 20 + 52 + 4*m**5 + 114*m**3 + 289*m**2 + 0*m**5 + 56*m**4 + 260*m.
4*(m + 1)**3*(m + 2)*(m + 9)
Factor 2/5 + 1/5*j - 3/5*j**2 + 1/5*j**4 - 1/5*j**3.
(j - 2)*(j - 1)*(j + 1)**2/5
Let b(c) be the third derivative of c**7/42 - 7*c**6/8 - 61*c**5/6 - 85*c**4/2 - 260*c**3/3 + 2*c**2 - 367*c. Let b(t) = 0. Calculate t.
-2, -1, 26
Let v(r) be the second derivative of r**5/4 - 3*r**4/8 - r**3 - 2*r**2 - 12*r. Let q(x) be the first derivative of v(x). Factor q(o).
3*(o - 1)*(5*o + 2)
Suppose 14 + 1 = 5*s. Factor -6*p**2 - 5*p**2 - p**2 + 2*p + 2*p**4 - 2*p**s + 10*p**2.
2*p*(p - 1)**2*(p + 1)
Let g(q) = -q**3 - q**2 - q + 1. Let o be g(1). Let d be o*2/8*-6. Let n(c) = -5*c**2 + c - 2. Let u(m) = m**2 + m. Let r(h) = d*u(h) + n(h). Factor r(j).
-2*(j - 1)**2
Let b(h) be the third derivative of 9*h**8/224 + 24*h**7/35 - 19*h**6/40 - 7*h**5/5 - 11*h**4/16 - 10*h**2 + 9. Solve b(n) = 0 for n.
-11, -1/3, 0, 1
Let c(u) = 45*u**2 + 9*u + 11. Let f be 42/(-189) - 2/((-36)/(-194)). Let i(d) = -15*d**2 - 3*d - 4. Let k(a) = f*i(a) - 4*c(a). Factor k(h).
-3*h*(5*h + 1)
Determine y, given that 0 - 3/5*y**4 - 1/5*y**5 + 0*y**2 - 2/5*y**3 + 0*y = 0.
-2, -1, 0
Let f(y) be the second derivative of -3*y**5/20 - 3*y**4/4 - y**3 - 4*y - 4. Solve f(d) = 0 for d.
-2, -1, 0
Let h(r) = 46*r**2 - 1 - r + 0*r - 47*r**2. Let l(n) = -n**2 + n + 3. Let w(x) = -h(x) - l(x). Determine k so that w(k) = 0.
-1, 1
Suppose 1/5*k**3 - 28/5*k - 7/5*k**2 - 4 = 0. Calculate k.
-2, -1, 10
Factor -5/9*m**2 + m**3 - 4/9*m + 0.
m*(m - 1)*(9*m + 4)/9
Let r be 119/(-12) + 7/(-21) + -2. Let p = -215/28 - r. Determine w so that 2/7 + p*w**2 + 16/7*w = 0.
-1/4
Let d(j) be the first derivative of -j**4/34 - 10*j**3/51 - 7*j**2/17 - 6*j/17 - 29. Solve d(a) = 0 for a.
-3, -1
Let f(b) = -2*b**3 + 8*b**2 - 10*b + 2. Let i be f(5). Let r be i/(-40) + 4/(-20) + 0. Factor 0*d**2 - 3*d**5 + 3/4*d**3 - r*d**4 + 0 + 0*d.
-3*d**3*(d + 1)*(4*d - 1)/4
Let x(q) be the second derivative of -1/10*q**5 - 17/6*q**4 - 80/3*q**3 - 15 - 64*q**2 - q. Factor x(o).
-2*(o + 1)*(o + 8)**2
Suppose -17 + 69 = 4*c. Suppose -2 = -3*v + c, 70 = 5*a + 5*v. Suppose -9*w**4 + 2*w + w**5 + 0*w - 8*w**5 - w**3 + a*w**2 + 6*w**3 = 0. What is w?
-1, -2/7, 0, 1
Let q(a) = -84*a - 334. Let c be q(-4). Find 