s**3 + 47*s**2 = 0.
-77, -1
What is z in 138*z**3 + 130*z**3 - 258*z**3 - 136*z**2 + 19*z + 165*z + 96 = 0?
-2/5, 2, 12
Let a(b) be the first derivative of 0*b**2 + 0*b + 1/16*b**4 + 1/6*b**3 - 7 - 1/20*b**5. Solve a(i) = 0 for i.
-1, 0, 2
Let o(v) = -v**2 + 15*v - 20. Let r be o(13). Let i be (2/(-4))/(3/(-12)). Factor -3*z + 2*z - i*z - 3*z**3 + r*z.
-3*z*(z - 1)*(z + 1)
Let j(c) be the second derivative of c**5/20 + c**4/4 - c**3/6 - 3*c**2/2 - 5*c - 81. Determine o, given that j(o) = 0.
-3, -1, 1
Suppose -4*l - 13 = -21. Solve 3*t**2 - 15*t**5 + 2*t**4 - 5*t**l + 13*t**5 + 2*t**3 = 0 for t.
-1, 0, 1
Let q(g) be the first derivative of -9/2*g**3 - 1 - 3/5*g**5 - 1/15*g**6 + 0*g - 9/4*g**4 + g**2. Let o(z) be the second derivative of q(z). Solve o(t) = 0.
-3/2
Let w(x) = x + 3. Let k be w(2). Suppose -5 + 6*o + 2*o**2 + 0 + k = 0. Calculate o.
-3, 0
Let d(a) = 3*a - 6. Let h be d(6). Suppose 60*z**2 + 14*z**3 + 16*z**3 + 9*z**3 + h*z - 12*z**3 = 0. Calculate z.
-2, -2/9, 0
Let z(x) = -2*x**2 - 1. Let l = 156 - 160. Let g(a) = -6*a**2 - 37*a + 4. Let r(c) = l*g(c) + 20*z(c). Factor r(k).
-4*(k - 9)*(4*k - 1)
Let b = -1/42 - -13/42. Determine v, given that 0 - b*v**2 - 2/7*v = 0.
-1, 0
Suppose -14*a - 1187 = -1215. Let i(q) be the third derivative of -1/160*q**5 + 0*q + 9*q**a + 1/16*q**3 + 0 + 0*q**4. Factor i(w).
-3*(w - 1)*(w + 1)/8
Let y(l) be the second derivative of -l**4/20 + l**3/10 + 6*l**2 - 101*l. Let y(j) = 0. Calculate j.
-4, 5
Suppose -3*m + 3*s - 15 = -2*s, 3*s = 3*m + 9. Find c such that m*c**2 - 2 + 2*c**3 + 6*c - 2*c**2 + 0*c - 4*c**2 = 0.
1
Let x(v) = v**4 - v**3 + v**2 - v. Let l(y) = 14633*y**4 - 191656*y**3 + 940888*y**2 - 2052856*y + 1679616. Let m(z) = -5*l(z) - 40*x(z). Factor m(c).
-5*(11*c - 36)**4
Let c = -71 + 75. Factor 12*q**2 + 0 - 3 + c*q - 24*q - 5.
4*(q - 2)*(3*q + 1)
Let l(i) = 2*i**2 + 4*i**2 - 14*i - 33 + 41*i. Let u(t) = -4415*t**2 - 8 + 4418*t**2 + 13*t - 8. Let r(o) = -4*l(o) + 9*u(o). Factor r(c).
3*(c - 1)*(c + 4)
Suppose 23*o - 44 - 60 = -12. Let 0*y**2 + 0*y - 1/2*y**5 + 1/4*y**3 + 0 - 1/4*y**o = 0. What is y?
-1, 0, 1/2
Let h(i) = -i**2 - 9*i - 3. Let u be h(-6). Suppose -13 - u = -4*t. Suppose -4*g**2 - t*g + 5*g + 7*g**2 = 0. Calculate g.
0, 2/3
Suppose 0 = -3*a, 3*s + 0*s - 4*a = 780. Let h = s + -1296/5. Factor h*w + 4/5 + 1/5*w**2.
(w + 2)**2/5
Suppose 0 = 593*b - 595*b. Factor b*q**3 + 0 + 0*q + 0*q**2 - 3/7*q**4.
-3*q**4/7
Suppose 20*n - 2*n - 360 = 0. Suppose -2*z + 3*s + 12 = 2*z, -5*s - n = 4*z. Determine q, given that -4/7*q + z + 2/7*q**2 = 0.
0, 2
Let c(l) be the second derivative of -2*l**7/21 - 2*l**6/15 + 2*l**5/5 + 457*l. Find d, given that c(d) = 0.
-2, 0, 1
Let a(c) = -9*c**2 + 164*c + 163. Let t(q) = -12*q**2 + 165*q + 162. Let b(o) = -3*a(o) + 2*t(o). Factor b(l).
3*(l - 55)*(l + 1)
Let h(q) be the third derivative of 7*q**6/260 - 5*q**5/78 + q**4/39 - 144*q**2. Factor h(s).
2*s*(s - 1)*(21*s - 4)/13
Let k(d) be the first derivative of -d**2/2 - d + 6. Let q be k(-4). Let 3 - 6 + 8 + 1 - q*y**2 - 3*y = 0. Calculate y.
-2, 1
Let r(f) be the first derivative of f**6/150 - f**4/30 - 4*f**2 + 9. Let c(y) be the second derivative of r(y). Suppose c(a) = 0. Calculate a.
-1, 0, 1
Let r be 8 - (23/(184/(-48)) + 10). Let l(x) be the second derivative of -5/4*x**r - 3/5*x**5 + 0 + 7*x - x**3 - 1/10*x**6 + 0*x**2. Factor l(j).
-3*j*(j + 1)**2*(j + 2)
Let z(k) be the second derivative of k**5/40 - 11*k**4/8 - k**3/12 + 33*k**2/4 - 497*k. Factor z(o).
(o - 33)*(o - 1)*(o + 1)/2
Find r such that 22/9 - 20/9*r - 2/9*r**2 = 0.
-11, 1
Suppose 2 - 11 = -f + v, -5 = -5*f - 5*v. Suppose -f*s + 32 = -3*s. Let 3*m**3 + s*m - 20*m**3 + 4*m**5 - 3*m**3 = 0. What is m?
-2, -1, 0, 1, 2
Suppose -2152*u + 2170*u - 3*u**2 - u**4 + 5*u**4 - 4*u**3 - 3*u**4 = 0. What is u?
-2, 0, 3
Let h(d) be the third derivative of -d**5/12 + 5*d**4/6 - 144*d**2. What is n in h(n) = 0?
0, 4
Factor 3/2*a**2 + 1/4*a**4 + 8*a - 8 - 7/4*a**3.
(a - 4)**2*(a - 1)*(a + 2)/4
Suppose 0 = u - 8 + 3. Factor u*b**3 - 125 + 59 - 20*b + 66.
5*b*(b - 2)*(b + 2)
Let q = 24 - 21. Determine g so that 0*g**2 + g**4 - 5*g**3 - 3*g + q*g**2 + 4*g**2 = 0.
0, 1, 3
Let u(f) = 24*f**3 - 7201*f**2 + 537582*f + 180018. Let h(o) = 6*o**3 - 1800*o**2 + 134396*o + 45004. Let m(a) = -9*h(a) + 2*u(a). Factor m(z).
-2*(z - 150)**2*(3*z + 1)
Let s(q) be the second derivative of -q**5/22 + 41*q**4/66 + 46*q**3/33 - 682*q. Factor s(u).
-2*u*(u + 1)*(5*u - 46)/11
Suppose 4*r - o = -2*o + 16, -4*r + 5*o = -40. What is u in -40 + 6*u**3 - 2*u**r + 2*u**2 - 2*u**4 - 4*u + 40 = 0?
-2, -1, 0, 1
Let b(a) = 3*a**5 + 4*a**4 - 8*a**3 - 18*a**2 + 3*a + 8. Let q(i) = i**5 - 2*i**2 - 2*i - 1. Let o(d) = 3*b(d) - 6*q(d). Solve o(t) = 0 for t.
-5, -1, 1, 2
Let o(d) be the third derivative of 17*d**5/210 + d**4/84 - 40*d**2. Factor o(h).
2*h*(17*h + 1)/7
Let l(s) be the second derivative of 0*s**3 + 5/2*s**2 - 1/8*s**4 + 0 + 0*s**5 + 1/40*s**6 - 3*s. Let m(p) be the first derivative of l(p). Factor m(k).
3*k*(k - 1)*(k + 1)
Factor -2/3*m - 80/3*m**2 + 1/3.
-(8*m + 1)*(10*m - 1)/3
Factor 0*m**2 + 0 + 0*m - 4/3*m**3 + 4/3*m**4.
4*m**3*(m - 1)/3
Suppose -19 - 11 = -3*q + 2*l, 3*l + 49 = 5*q. Let f(o) = -o + 11. Let j be f(q). Factor -3*a**3 + 6*a**4 - 3*a**5 + j*a**2 + 2*a**2 - 5*a**2.
-3*a**3*(a - 1)**2
Factor -7/5*q**3 - 1/5*q**4 - 11/5*q**2 - q + 0.
-q*(q + 1)**2*(q + 5)/5
Let b be (-8 - -4) + 4 - -4. Factor -t**3 + b*t**4 + 2*t**4 - t**3 - 4*t**2 - 4*t**4.
2*t**2*(t - 2)*(t + 1)
Let o be (-9 - -17 - 8)/(-5). Suppose 2/9*m**2 + 0*m - 1/9 + o*m**3 - 1/9*m**4 = 0. Calculate m.
-1, 1
Let y(k) be the first derivative of -5*k**3/3 + 195*k**2/2 - 388. What is z in y(z) = 0?
0, 39
Suppose -4*t + 28 = -2*n, 4*n - t + 4*t = -78. Let p be (24/n)/((-4)/6). Factor 2*v + p + v**3 + 5*v + v**3 - v + 6*v**2.
2*(v + 1)**3
Let l(t) be the second derivative of t**6/135 + t**5/9 + 4*t**4/9 + 22*t**3/27 + 7*t**2/9 - 4*t + 5. Factor l(s).
2*(s + 1)**3*(s + 7)/9
Let y be -4*2*12/(-16). Solve 13*b**2 + b + 2 + b**4 + 2 - 3*b - y*b**3 - 10*b = 0.
1, 2
Let n(o) = -7*o**2 + 66*o + 69. Let x(l) = -27*l**2 + 264*l + 276. Let k(a) = -15*n(a) + 4*x(a). Solve k(r) = 0.
-1, 23
Let y(j) = 3*j**3 + 6*j**2 + 6*j. Let r(l) be the first derivative of -l**3/3 + 9. Let b(x) = -3*r(x) + y(x). Let b(z) = 0. What is z?
-2, -1, 0
Factor 9*r + 28*r**5 - 27*r**5 + 8*r**4 - 106*r**3 + 24*r**2 + 128*r**3.
r*(r + 1)**2*(r + 3)**2
Let l be (-124)/93*36/(-16). Let f(w) be the first derivative of 5 - 1/2*w**2 + 1/4*w**4 + 0*w + 1/5*w**5 - 1/3*w**l. Solve f(x) = 0.
-1, 0, 1
Let y(x) be the third derivative of 0*x**3 + 1/54*x**5 + 1/180*x**6 + 1/54*x**4 - 1/945*x**7 - 1/1512*x**8 + 0*x + 0 - 2*x**2. Solve y(l) = 0.
-1, 0, 2
Let 69*h**2 + 32*h**3 - 96*h - 29*h**3 + 7 - 18*h**3 + 29 = 0. Calculate h.
3/5, 2
Let u(x) = 76*x**2 - 232*x + 428. Let m(b) be the second derivative of -7*b**4/12 + 7*b**3/2 - 39*b**2/2 - 8*b. Let p(j) = -32*m(j) - 3*u(j). Factor p(a).
-4*(a - 3)**2
Let g(x) be the first derivative of x**6/45 - x**5/6 + x**4/2 - 7*x**3/9 + 2*x**2/3 - 26*x + 44. Let f(m) be the first derivative of g(m). Factor f(t).
2*(t - 2)*(t - 1)**3/3
Suppose 4*y + 12 = -6*a, 5*a - 16 = 49*y - 48*y. Find s, given that -2*s**3 - 1 + a*s**4 - s**2 + 5/2*s - 1/2*s**5 = 0.
-1, 1, 2
Let q(g) be the second derivative of 1/5*g**6 + 2*g + 0*g**4 + 0*g**3 + 0 + 0*g**2 + 3/20*g**5 + 1/14*g**7. Solve q(o) = 0 for o.
-1, 0
Let o = -59 - -62. Factor -26*g**o + 81*g + 16*g**3 + 81 + 27*g**2 + 13*g**3.
3*(g + 3)**3
Let p(c) be the second derivative of c**4/48 + c**3/4 - 12*c + 5. Solve p(k) = 0.
-6, 0
Let u = 62329/13850 + -2/6925. Find f, given that 3/2*f - 9/2 + u*f**2 - 3/2*f**3 = 0.
-1, 1, 3
Let f be 6 + 4/(-12)*6. Let o(v) be the third derivative of -5*v**2 + 1/6*v**3 + 0*v + 7/24*v**f + 3/40*v**6 + 0 + 1/4*v**5. Find w such that o(w) = 0.
-1, -1/3
Suppose 2*i - 8 = -2*i. Factor -2*u**3 - 32*u**2 + 8 + 0*u**3 + 24*u**i - 2*u**3 + 4*u.
-4*(u - 1)*(u + 1)*(u + 2)
Factor 108/7*v**2 + 0 - 6/7*v**3 + 0*v.
-6*v**2*(v - 18)/7
Let f be (-4)/18 + (-100)/36. Let m be 7/(-42) + (f - 58/(-12)). Solve -20*l - 40/3 - 10*l**2 - m*l**3 = 0 for l.
-2
Let a(g) = -3*g**2 - 1. Let w(c) = -16*c**2 + c - 5. Let o(s) = -s**2 - 4*s + 1. Let h be o(2). Let p(r) = 