- 5*d. Factor j(i).
-3*i**2*(i + 1)
Let 2*w**2 + 0*w + 12/5*w**3 + 0 + 2/5*w**4 = 0. What is w?
-5, -1, 0
Let a(x) be the third derivative of -2/1365*x**7 + 0*x**3 - 1/156*x**4 + 0*x + 0*x**6 - 3*x**2 + 1/2184*x**8 + 1/195*x**5 + 0. Factor a(b).
2*b*(b - 1)**3*(b + 1)/13
Let i be -2*6/(-12)*(-8 + -1). Let g be ((-3)/(-2))/(i/(-12)). Factor -3/5*z**g + 0 + 3/5*z.
-3*z*(z - 1)/5
Let y(r) be the first derivative of r**6/6 - r**5/5 - r**4/4 + r**3/3 - 2. What is v in y(v) = 0?
-1, 0, 1
Let a = 85 - 78. Suppose a*n + 2*n = -2*n. Factor n*i + 2/7*i**2 - 2/7.
2*(i - 1)*(i + 1)/7
Let v(k) be the third derivative of k**7/42 + 5*k**6/16 + 37*k**5/24 + 55*k**4/16 + 15*k**3/4 - 195*k**2. Solve v(q) = 0 for q.
-3, -1, -1/2
Let s(t) be the first derivative of -5*t**3/12 - 135*t**2/8 - 125*t/2 - 543. Factor s(r).
-5*(r + 2)*(r + 25)/4
Let s(q) be the first derivative of q**4/4 - q**3/2 + 14*q + 34. Let l(i) be the first derivative of s(i). Solve l(b) = 0 for b.
0, 1
Let z(h) be the first derivative of h**6/3 - 4*h**5/5 - h**4/2 + 4*h**3/3 + 97. Solve z(q) = 0.
-1, 0, 1, 2
Let h(u) be the third derivative of 0*u + 0 - 1/150*u**5 - 7*u**2 + 0*u**3 + 1/60*u**4. Determine d so that h(d) = 0.
0, 1
Factor -1/3*o**3 - 169*o - 2197/3 - 13*o**2.
-(o + 13)**3/3
Let k be 9/(-12) + (-100)/16. Let o = 9 + k. Factor 0*l + 3 + 0*l - 44*l**2 + 41*l**o.
-3*(l - 1)*(l + 1)
Solve 6*l - 3*l**4 - 12*l**2 - 2*l**5 - 7*l**3 + 2*l**4 + 4*l**5 + 13*l**2 - l**5 = 0 for l.
-2, -1, 0, 1, 3
Suppose -5*a + 3*s = -4*a - 22, 2*s + 10 = 0. Factor 3*v**5 + 7 - a - 3*v**3.
3*v**3*(v - 1)*(v + 1)
Let b(d) be the second derivative of -d**7/42 + 7*d**6/30 - 7*d**5/20 - 19*d**4/12 + 8*d**3/3 + 10*d**2 + 18*d - 2. Let b(r) = 0. What is r?
-1, 2, 5
Let a = -19 + 31. Let o be ((-3)/(-6))/(2/a). Let 9/2 + o*k - 3/2*k**2 = 0. Calculate k.
-1, 3
Let l(d) be the third derivative of d**7/42 + 5*d**6/12 + 3*d**5 + 35*d**4/3 + 80*d**3/3 - 705*d**2. Find o such that l(o) = 0.
-4, -2
Let 0*l**2 - 3*l**2 - 2*l**2 + 10*l**2 - 54 + 133*l = 0. Calculate l.
-27, 2/5
Let d(k) = -29*k**4 - 59*k**3 + 148*k**2 - 64*k. Let w(y) = 33*y**4 + 58*y**3 - 149*y**2 + 64*y. Let n(v) = -3*d(v) - 2*w(v). Factor n(g).
g*(g - 1)*(3*g - 2)*(7*g + 32)
Let d be 18/8 - 18/(-24) - -1. Let x(i) be the second derivative of 1/36*i**d - 1/9*i**3 + 0 + 0*i**2 - 10*i. Find j such that x(j) = 0.
0, 2
Let f(k) be the second derivative of 0*k**3 + 0*k**2 + 12*k + 0 + 1/60*k**4. Factor f(z).
z**2/5
Let t(a) = -5*a + 47. Let p be t(8). Suppose 3*n = 2*w - p*w + 9, 2*w = -4*n + 12. Factor 1/2*r**4 + 3/2*r**n + 1/2*r + 0 + 3/2*r**2.
r*(r + 1)**3/2
Let r = 11 + -19. Let t = r - -14. Factor 2*f**2 + 7*f**2 + 0*f**3 - 3*f**3 - t*f.
-3*f*(f - 2)*(f - 1)
Let t = 2403 + -2400. Factor 2/17*c**4 - 2/17*c + 2/17*c**t + 0 - 2/17*c**2.
2*c*(c - 1)*(c + 1)**2/17
Suppose m = -2 + 4. Suppose 2 + m = d. Solve 2*v**4 + d - 3*v**2 + 4*v - 3*v**3 + v**3 - v**4 = 0.
-1, 2
Determine n so that -9 - 14*n**2 + 12*n**2 - 14*n + 25 = 0.
-8, 1
Let x(q) be the second derivative of -8*q**2 + 8/3*q**3 + 0 - 1/3*q**4 + 11*q. Factor x(s).
-4*(s - 2)**2
Let r be (-1 + (-1)/(-3))/(-3 + -29). Let j(n) be the second derivative of 0*n**2 + 1/10*n**5 - 1/12*n**3 + 0 - 1/24*n**6 + 5*n - r*n**4. Factor j(q).
-q*(q - 1)**2*(5*q + 2)/4
Find g, given that 172*g**4 + 256*g - 36*g**5 - 192*g**2 - 183*g**3 + 76*g**3 + 20*g**3 + 64 - 89*g**3 = 0.
-1, -2/9, 2
Suppose 0 = -4*b + b - 2*b. Solve 30*t**3 + 112*t - 64 + b*t**4 + 17*t**2 - 2*t**4 - 10*t**3 - 89*t**2 = 0.
2, 4
Let y(i) be the first derivative of -1/2*i**4 + 0*i**5 - 4 + 2/3*i**3 + 1/15*i**6 + 0*i**2 - 3*i. Let n(t) be the first derivative of y(t). Factor n(x).
2*x*(x - 1)**2*(x + 2)
Let z(h) be the first derivative of -2*h**3/45 + h**2/5 + 12*h/5 + 18. Let z(c) = 0. Calculate c.
-3, 6
Find b such that -103*b**2 + 14*b + 2 + 101*b**2 - 2 = 0.
0, 7
Suppose -6*w + w = -65. Factor -20*i**2 + 18*i**3 - 3*i**4 - w*i**2 + 6*i**2.
-3*i**2*(i - 3)**2
Let l(y) = 43*y**2 - 1546*y - 68. Let h be l(36). Factor h*i - 36/7*i**2 + 8/7.
-4*(i - 1)*(9*i + 2)/7
Suppose 0 = -2*n - 5*o - 1, 5*n + o = 8 - 22. Let k(z) = -z**2 + z + 5. Let u(w) = -w**2 - w + 1. Let p(x) = n*u(x) + k(x). Factor p(j).
2*(j + 1)**2
Let z(h) be the first derivative of 5*h**4/12 - 25*h**3/9 - 55*h**2/3 - 80*h/3 + 318. Factor z(a).
5*(a - 8)*(a + 1)*(a + 2)/3
Let r(x) be the second derivative of x**6/15 - x**5/5 - x**4/6 + 2*x**3/3 - 248*x. Factor r(h).
2*h*(h - 2)*(h - 1)*(h + 1)
Solve 126*s**2 - 36*s**2 - 4 + 2*s - 45*s**2 - 43*s**2 = 0 for s.
-2, 1
Let g be -17 + (-12 - (6 - 37)). Factor -1/7 - 3/7*o**g + 3/7*o + 1/7*o**3.
(o - 1)**3/7
Let x(c) be the third derivative of c**6/120 - 11*c**5/30 - 47*c**4/24 - 4*c**3 + c**2 + 136*c. Factor x(t).
(t - 24)*(t + 1)**2
Let p be ((-17)/(-6 + -79))/(2/40 - 0). Factor -16 - 13/4*l**3 - 15*l**2 - 1/4*l**p - 28*l.
-(l + 1)*(l + 4)**3/4
Let u(w) be the first derivative of 5*w**4/4 + 25*w**3/3 + 15*w**2 - 563. Factor u(g).
5*g*(g + 2)*(g + 3)
What is h in 12/5*h**3 + 3/5*h**2 - 12/5*h**5 + 0*h - 3/5*h**4 + 0 = 0?
-1, -1/4, 0, 1
Let y(l) be the second derivative of -l**5/40 + l**4/4 + l**3/12 - 3*l**2/2 - 830*l. What is c in y(c) = 0?
-1, 1, 6
Suppose 6*a - 2*a = 8. Suppose a*v = -2*b + 4*b + 6, -3*v + 9 = 3*b. Factor b*n - 1/2*n**3 + 1/4*n**2 + 1/4*n**4 + 0.
n**2*(n - 1)**2/4
Suppose -10 = -2*z + 32. Let y = z - 61/3. Factor 0 + 0*l - y*l**4 - 1/3*l**3 - 1/3*l**5 + 0*l**2.
-l**3*(l + 1)**2/3
Let v = 71208/5 + -14240. Find x, given that -v*x**2 - 36/5*x - 8 = 0.
-5/2, -2
Let h(z) be the third derivative of z**8/112 + 3*z**7/70 - z**6/40 - 3*z**5/20 + 10*z**2 + z. Factor h(c).
3*c**2*(c - 1)*(c + 1)*(c + 3)
Factor -3/7*z**2 + 60*z - 417/7.
-3*(z - 139)*(z - 1)/7
Let u = -131/6 + 70/3. Let k(t) be the first derivative of 0*t - 5 + 3*t**3 + u*t**2. Suppose k(p) = 0. What is p?
-1/3, 0
Let s(w) be the first derivative of -5*w**6/3 - 54*w**5/5 - 10*w**4 + 64*w**3 + 160*w**2 + 96*w + 43. Let s(b) = 0. What is b?
-3, -2, -2/5, 2
Let k = 85191/25256 - -6/3157. Determine p so that -k*p**2 + 81/8*p + 3/8*p**3 - 81/8 = 0.
3
Let o(y) = -14*y**3 + 6*y**2 + 12*y + 12. Let k(u) = u - 2*u**3 + 1 + u**3 + 0 + u**2. Suppose 0 = 2*z - 3*z + 1. Let b(v) = z*o(v) - 12*k(v). Solve b(h) = 0.
-3, 0
Let u(i) = i - 3. Let f be u(7). Suppose -9 = -f*m + 3. Factor -6*t - 3*t**2 - 4 - 1/2*t**m.
-(t + 2)**3/2
Factor -11/7*x**2 - 9/7*x**3 + 10/7 + 1/7*x**4 + 9/7*x.
(x - 10)*(x - 1)*(x + 1)**2/7
Let b(z) be the second derivative of z**7/63 - z**6/45 - 3*z**5/10 - 11*z**4/18 - 4*z**3/9 - 65*z. Factor b(s).
2*s*(s - 4)*(s + 1)**3/3
Let h(u) = u**2 - 15*u + 8. Let n be h(14). Let a be (-4)/(-50)*5*-10 - n. Find g such that -1/5*g - 2/5 + 1/5*g**3 + 2/5*g**a = 0.
-2, -1, 1
Let b(z) be the second derivative of -2*z**6/45 + z**5/5 + 25*z**4/9 + 14*z**3/3 - 535*z. Factor b(a).
-4*a*(a - 7)*(a + 1)*(a + 3)/3
Let u(w) be the second derivative of w**5/10 - 77*w**4/3 + 5929*w**3/3 + 88*w. Factor u(h).
2*h*(h - 77)**2
Let r be ((-2)/(-90))/(16/96). Let i(n) be the first derivative of 5 + r*n**3 + 0*n + 0*n**2. Let i(c) = 0. Calculate c.
0
Factor -16/15*z + 2/3 + 2/5*z**2.
2*(z - 1)*(3*z - 5)/15
Let h(d) be the first derivative of -d**3/3 + 10*d**2 - 263. Factor h(r).
-r*(r - 20)
Factor 0 - 2/3*s**3 + 26/3*s**2 + 0*s.
-2*s**2*(s - 13)/3
Let j be (-1 + (1 - 2))*(-66)/44. Find q such that 6/7*q**5 + 0 + 75/7*q**4 + 192/7*q + 528/7*q**2 + 324/7*q**j = 0.
-4, -1/2, 0
Let g(r) be the second derivative of 38*r + 5/16*r**5 + 0 - 5/56*r**7 + 25/48*r**4 + 0*r**2 - 5/12*r**3 - 5/24*r**6. Determine m so that g(m) = 0.
-2, -1, 0, 1/3, 1
Let s = 41/12 + -419/84. Let q = -1/14 - s. Factor -3/2*r**2 + 0*r - q*r**4 + 3*r**3 + 0.
-3*r**2*(r - 1)**2/2
Let v = -18 - -48. Suppose -24 = 18*b - v*b. Suppose 0 + 0*l**b - 1/4*l**3 + 1/4*l = 0. Calculate l.
-1, 0, 1
Let w(l) be the first derivative of l**5/20 - 3*l**4/16 + l**3/12 + 3*l**2/8 - l/2 + 7. Factor w(x).
(x - 2)*(x - 1)**2*(x + 1)/4
Let m(p) be the second derivative of -p**5/70 - p**4/21 + 4*p**3/21 + 8*p**2/7 + 183*p. Factor m(o).
-2*(o - 2)*(o + 2)**2/7
Determine q, given that 0*q + 3*q**4 + 6/5*q**5 + 0 - 42/5*q**3 - 24/5*q**2 = 0.
-4, -1/2, 0, 2
Let p(x) = -10*x**3 + 10*x**2 - 5*x. Let g(o) = 9*o**3 - 10*o**2 + 5*o. Let y be (8 - 70/6) + (