**8 + 3/55*k**6 + 6/385*k**7 + 0*k + 0*k**3. Factor o(q).
6*q**2*(q + 2)**3/11
Suppose -11*i - i**3 + 28*i**2 + 5*i**3 + 35*i = 0. What is i?
-6, -1, 0
Suppose 76*q**2 - 69*q**5 - 126*q**4 + 20*q**5 + 12*q + 1611*q**3 - 1524*q**3 = 0. What is q?
-3, -2/7, 0, 1
Let z(f) be the second derivative of 1/14*f**7 + f + 0*f**3 + 3/10*f**6 + 0*f**4 + 3/10*f**5 + 0*f**2 - 14. Suppose z(k) = 0. What is k?
-2, -1, 0
Suppose -16 = -2*o - 0*o - 3*z, -5*z + 24 = 2*o. Suppose -o*p - b = 2*p - 22, -4 = 2*b. Factor -d**3 + 0*d**3 + 0*d**3 - 8*d**2 + 3*d + p*d**2.
-d*(d - 1)*(d + 3)
Suppose -22 = -4*g + 2*o, -3*g + 5*o = -5*g + 41. Let f be -1 - (-2)/g - -1. Solve 1/4*w**2 + 0 - f*w = 0 for w.
0, 1
Let d be ((-1)/(-2))/((-1)/(-20)). Let i be 0 - 1/d*20/(-8). Let -1/4*c**2 - i*c + 0 = 0. What is c?
-1, 0
Let o be (2 - (-9)/(-5))*0*-1. Let j(u) be the second derivative of -5/18*u**3 + 1/12*u**4 - 1/3*u**2 + o + 4*u. Factor j(p).
(p - 2)*(3*p + 1)/3
Let h(o) = -o**2 + o + 3. Let z(b) = -20*b**2 + 80*b + 215. Let c(r) = 25*h(r) - z(r). Factor c(m).
-5*(m + 4)*(m + 7)
Let c(t) = -16*t**4 + 45*t**3 - 54*t**2 - 236*t + 261. Let w(b) = -3*b**4 + 9*b**3 - 11*b**2 - 47*b + 52. Let h(n) = 2*c(n) - 11*w(n). What is a in h(a) = 0?
-2, 1, 5
Let c = -1709 + 1709. Let x(d) be the second derivative of -5/12*d**4 - 3/20*d**5 + 1/30*d**6 + c*d**2 + 0 - 1/3*d**3 - 8*d + 1/42*d**7. Factor x(n).
n*(n - 2)*(n + 1)**3
Let t(m) be the third derivative of m**10/50400 - m**9/10080 + m**8/6720 + 19*m**5/60 - 38*m**2. Let f(x) be the third derivative of t(x). Solve f(k) = 0 for k.
0, 1
Let 187371*w**2 + 183015*w**2 - 4*w**5 + 342*w**4 + 4*w**5 + 19494*w**3 + 2*w**5 = 0. What is w?
-57, 0
Let z(w) be the third derivative of w**6/280 - w**5/70 - w**4/7 + w**2 + 13*w. Factor z(g).
3*g*(g - 4)*(g + 2)/7
Let d(u) = 4*u - 7. Let f be d(-6). Let b = -13 - f. Solve 3*n**5 + 17*n + 2*n**2 - b*n - 4*n**2 - 2*n**5 + 2*n**4 = 0 for n.
-1, 0, 1
What is p in -2/7*p**3 + 4/7*p**2 + 8/7*p - 16/7 = 0?
-2, 2
Let h(c) be the first derivative of c**7/350 - c**6/50 + 3*c**5/100 - 25*c**2/2 - 12. Let w(s) be the second derivative of h(s). Factor w(a).
3*a**2*(a - 3)*(a - 1)/5
Let l(d) = -5*d**2 - 5*d**2 + 5*d**2 - 3 - 3 + 6*d. Let t(m) = -7*m**2 - 39 + 22 + 17*m - 7*m**2. Let j(i) = -17*l(i) + 6*t(i). Find n, given that j(n) = 0.
0
Let f(x) = -2*x + 40. Let q be f(19). Solve 7*a**2 - 3*a + q*a**3 - 7*a**2 + a**3 = 0.
-1, 0, 1
Factor -112*b**2 - 18*b**2 - 3*b**3 - 1728*b + 274*b**2.
-3*b*(b - 24)**2
Let d be 6 + (0 - (-2)/(-13) - 340/663). Let -2*q + 8*q**3 + 4/3*q**2 - 2/3 + d*q**4 = 0. Calculate q.
-1, -1/2, 1/2
Let q(b) be the first derivative of -4*b**6/7 - 2*b**5/5 + 11*b**4/14 + 2*b**3/3 + b**2/7 - 87. Find v such that q(v) = 0.
-1, -1/3, -1/4, 0, 1
Let z = -1809 + 1812. Factor 2/3 + 0*y**2 + 1/3*y**z - y.
(y - 1)**2*(y + 2)/3
Let f(w) = -3*w**3 - 2*w**2 - 3*w. Let h = -17 + 19. Let c(j) = 10*j**3 + 6*j**2 + 10*j. Let a(g) = h*c(g) + 7*f(g). Factor a(x).
-x*(x + 1)**2
Factor -1/4*g + 1/4*g**3 + 0 + 0*g**2.
g*(g - 1)*(g + 1)/4
Suppose -31*k = -80*k + 38*k + 22. Let -1/5*o**3 + 1/5*o**k - 1/5*o**4 + 0 + 1/5*o**5 + 0*o = 0. Calculate o.
-1, 0, 1
Suppose -9 - 5 = -7*w. Suppose 0 = -i - 3*d + 16, -i - d = w*i - 72. Factor -12*v - v**2 + 10*v - i - 8*v.
-(v + 5)**2
Let q be (((-8)/(-30))/(-4))/(24/(-8)). Let o = 43/90 + q. Find n, given that -o*n**5 + 1/2*n**2 + 0 + 0*n + 1/2*n**3 - 1/2*n**4 = 0.
-1, 0, 1
Let v(d) be the first derivative of 2*d**3/21 + 51*d**2/7 + 239. Let v(l) = 0. What is l?
-51, 0
Let a(p) = -25*p - 28*p - 2*p - 113*p - 3*p**2. Let k(d) = d**2 + 48*d. Let y(n) = -5*a(n) - 18*k(n). Let y(r) = 0. Calculate r.
-8, 0
Let s(c) = -485*c**3 + 775*c**2 - 315*c + 35. Let d(g) = 243*g**3 - 387*g**2 + 158*g - 18. Let w = -58 - -53. Let n(j) = w*d(j) - 2*s(j). Factor n(i).
-5*(i - 1)*(7*i - 2)**2
Let s(i) be the first derivative of i**8/168 - i**7/70 + i**6/120 - 11*i**2 + 37. Let u(q) be the second derivative of s(q). Factor u(m).
m**3*(m - 1)*(2*m - 1)
Let u = 0 - -2. Suppose -u*c = -0*c - 10. Let -3*w**3 + 10*w - c - 8*w + 7*w - 1 = 0. What is w?
-2, 1
Let w be (6445/(-1600) - -4)/((-3)/4). Let m(s) be the third derivative of 3*s**2 - 1/16*s**4 + 0*s**3 - w*s**5 - 1/160*s**6 + 0 + 0*s. Factor m(z).
-3*z*(z + 1)*(z + 2)/4
Let t = 116 - 117. Let m be (-4)/(-2) + (-2)/t. Factor 1/7*a**3 - 2/7*a**2 + 1/7*a**m + 0 + 0*a.
a**2*(a - 1)*(a + 2)/7
Let l(g) = -g**3 - g**2 - g. Let x(n) = -4*n**3 - 2*n**2 - 3*n. Let w(r) = -5*l(r) + x(r). Let w(y) = 0. What is y?
-2, -1, 0
Determine a, given that -8/7*a**3 - 2/7*a**4 + 8/7*a + 2/7*a**2 + 0 = 0.
-4, -1, 0, 1
Determine s, given that 1/4*s**2 - 1/4*s + 0 = 0.
0, 1
Suppose -23*f + 28*f - 10 = 0. Let k(n) be the second derivative of 0 + 3*n + 8/3*n**4 + 2*n**f + 7/10*n**5 + 11/3*n**3. Find y, given that k(y) = 0.
-1, -2/7
Let w(n) be the second derivative of 1/30*n**6 + 1/24*n**4 + 0*n**2 + 22*n - 1/24*n**3 + 0 + 7/80*n**5. Let w(g) = 0. Calculate g.
-1, 0, 1/4
Suppose -39*u + 141 - 35 + 89 = 0. Find b, given that -b - 1/2*b**4 + 0 + 5/2*b**2 - 3/2*b**3 + 1/2*b**u = 0.
-2, 0, 1
Let j be (-4)/6 + 16/15. Let u = 91/32 - 423/160. Suppose 0 - u*q**2 - 1/5*q**3 + j*q = 0. What is q?
-2, 0, 1
Let x(i) = 2*i**4 + 0*i**4 - i**4 - i**3 + 2*i - i. Let q(p) = -7*p**4 - 38*p**3 - 15*p**2 + 11*p. Let n(v) = q(v) - 5*x(v). Determine j, given that n(j) = 0.
-2, -1, 0, 1/4
Let z(i) be the third derivative of i**5/12 - 45*i**4/2 + 535*i**3/6 - 2*i**2 + 102*i. Factor z(d).
5*(d - 107)*(d - 1)
Suppose 5*j = 10 - 0. Factor h**3 - h**j - 6*h**3 + 5*h**2 + h**3.
-4*h**2*(h - 1)
Let v(p) = 3*p**5 - p**4 - 7*p**3 + p**2 + 20*p + 14. Let z(m) = -m**5 - m**3 - 1. Let u(i) = -v(i) - 2*z(i). Let u(b) = 0. Calculate b.
-2, -1, 2, 3
Let q be (-4 - -5 - 0)/(-1). Let y be q*-1*(-6)/(-3). Factor -3*v - 3*v**2 + y*v**2 + 2*v.
-v*(v + 1)
Suppose -2*l + 18 = 5*m, 0*l + l - 10 = -3*m. Solve -6*z + 2*z + 2*z**4 - 15*z**3 - m + 36*z**3 - 17*z**3 = 0 for z.
-1, 1
Let l(f) be the second derivative of f**6/45 - 23*f**5/90 + 47*f**4/54 - 37*f**3/27 + 10*f**2/9 - 518*f. Suppose l(c) = 0. What is c?
2/3, 1, 5
Let m(c) be the second derivative of 0*c**2 - 8*c + 0*c**3 - 1/150*c**6 + 0 - 1/100*c**5 + 0*c**4. Suppose m(w) = 0. Calculate w.
-1, 0
Let c(n) be the first derivative of -3*n**5/10 + 15*n**4/8 - 4*n**3 + 3*n**2 - 31. Let c(j) = 0. Calculate j.
0, 1, 2
Let a(p) be the first derivative of 4*p**3 - 2*p**2 - 4*p**4 - p + p + 2*p**4 - 15. Factor a(w).
-4*w*(w - 1)*(2*w - 1)
Suppose 3*i = 4*f - 6*f + 8, 20 = -5*i + 5*f. Let q(w) be the second derivative of i - 1/18*w**4 - 25/3*w**2 - 10/9*w**3 - 7*w. Suppose q(n) = 0. What is n?
-5
Suppose -4*u = 5*i - 2462, -6*u = -u - 4*i - 3098. Factor -u*d**2 - 3*d**3 + 3*d + 618*d**2 + 6*d - 6.
-3*(d - 1)**2*(d + 2)
Let i(k) be the third derivative of -k**6/240 + 7*k**5/80 - 9*k**4/32 - 100*k**2 + 2*k. Determine q so that i(q) = 0.
0, 3/2, 9
Let x(o) = -o**3 + 12*o**2 + 14*o - 13. Let q be x(13). Suppose -3*g - 5*g + q*g = 0. Factor 1/3*m**2 + 0 + g*m + 1/3*m**3.
m**2*(m + 1)/3
Let h(f) = -1 - 7 + f**3 - 33*f - 15*f**2 + 0. Let n be h(17). Determine d, given that -9/2*d**4 + 39/4*d**3 + 3*d + 3/4*d**5 - n*d**2 + 0 = 0.
0, 1, 2
Let p(d) be the third derivative of -5*d**8/28 - 2*d**7/105 + 3*d**6/2 - 9*d**5/5 - d**4/3 - 144*d**2. Solve p(m) = 0 for m.
-2, -1/15, 0, 1
Let k(v) = 4*v + 8. Let n be k(-2). Let q be 24/2*(-1)/(-3). Let 4*t**2 + 8 + 0*t**2 - 8*t**2 - q*t + n = 0. Calculate t.
-2, 1
Let j(f) be the first derivative of 14*f**6/3 - 4*f**5 - 93*f**4 - 76*f**3/3 + 172*f**2 + 96*f + 474. Determine a, given that j(a) = 0.
-3, -1, -2/7, 1, 4
Let o(d) = -9*d**2 + d. Let i be o(-1). Let u(h) = -h**2 - 11*h - 7. Let a be u(i). Factor -3*r**2 + 6*r**3 - 2*r**3 + 2*r**a - 2*r**4 - r**2.
-2*r**2*(r - 2)*(r - 1)
Suppose 6 = 5*f + 16. Let o be 1/(f + -7)*-8. Factor -8/9*m - 2/9*m**2 - o.
-2*(m + 2)**2/9
Suppose -1 = -5*u + 39. Suppose 0 = -5*o + o + u. Factor 12*t**3 + 2*t**3 - 25*t**o + 6*t + t**2 + 4.
2*(t - 1)**2*(7*t + 2)
Let x(z) be the first derivative of -5*z**6/36 + z**5 - 5*z**4/12 - 40*z**3/9 + 5*z**2/4 + 25*z/3 - 179. Determine b so that x(b) = 0.
-1, 1, 2, 5
Factor 94*c**3 + 55*c + 30 + 7*c**2 - 49*c**3 - 50*c**3 + 13*c**2.
-5*(c - 6)*(c + 1)**2
Factor -15/2 + 5/