*q - 6*q**3.
-3*q*(q - 1)*(q + 1)
Let j(n) be the second derivative of 2*n**2 + n**3 - 2*n - 1/3*n**4 + 0. Solve j(m) = 0.
-1/2, 2
Suppose 0 = -2*i - 22 + 30. Let g be -2 + 3 + -2 + i. Factor 8/5*l**2 - 2/5 - 1/5*l - l**g.
-(l - 1)**2*(5*l + 2)/5
Factor -8*f + 405 - 68*f**2 - 809 + 404.
-4*f*(17*f + 2)
Let t(q) = q**4 + 3*q**2 - 2*q - 3. Let w(l) = l**3 + l + 1. Let p = 3 - 2. Let u(n) = p*t(n) + 3*w(n). Find o, given that u(o) = 0.
-1, 0
Let n(k) = k**2 + 14*k + 35. Let a be n(-11). Factor -1/2*g**a + 0 + 1/2*g**3 - g.
g*(g - 2)*(g + 1)/2
Let j(g) be the second derivative of 3*g**5/20 + g**4/4 - g**3/2 - 3*g**2/2 + g. Factor j(v).
3*(v - 1)*(v + 1)**2
Let x be 6 + 0 + 4 + -3. Let i(j) be the third derivative of -1/9*j**4 + j**2 + 0 + 0*j + 1/15*j**5 + 1/315*j**x + 1/9*j**3 - 1/45*j**6. Factor i(n).
2*(n - 1)**4/3
Suppose 0 + 2/7*t**4 + 0*t - 2/7*t**3 + 0*t**2 = 0. What is t?
0, 1
Let m(c) be the third derivative of 7*c**2 + 0*c - c**3 - 1/4*c**5 + 0 + 7/8*c**4. Factor m(j).
-3*(j - 1)*(5*j - 2)
Let r be ((-6)/9)/((-2)/6). Solve 2*t - 4*t**2 + t**r + 4*t - 24*t**3 - 15*t**4 + 0*t = 0.
-1, 0, 2/5
Let q = 2 - -2. Let r(o) = -o**2 + o + 1. Let i(l) = 6*l**2 - 4*l - 12. Let c(g) = q*r(g) + i(g). Factor c(a).
2*(a - 2)*(a + 2)
Suppose r + 14 = 2*h, 5*h + 5*r = -0*h + 50. Let b be 4/(-16) - (-18)/h. Determine u so that -2*u**3 - 2*u + 6*u - 2*u**b + 0*u = 0.
-2, 0, 1
Let j = 1 + 3. Suppose 3*t + j*l - 16 = 2*l, 5*l - 33 = -4*t. Determine y so that -56/9*y**5 - 110/9*y**4 + 10/9*y**t + 4/9*y + 0 - 16/3*y**3 = 0.
-1, -1/4, 0, 2/7
Factor 0*u + 2/11*u**5 + 0 + 0*u**2 - 8/11*u**3 + 6/11*u**4.
2*u**3*(u - 1)*(u + 4)/11
Let b(t) = t - 1. Let d be b(1). Factor -1/3*o**4 - o**2 - o**3 + d - 1/3*o.
-o*(o + 1)**3/3
Let l(c) = 2 + 4*c + 4*c**2 - 6*c**2 + 3*c**2. Let j be l(-4). Factor 1/2*y + 1/2*y**j + 0.
y*(y + 1)/2
Let v(d) be the second derivative of -d**9/17640 + d**8/2940 - d**7/1260 + d**6/1260 + d**4/2 + 4*d. Let s(p) be the third derivative of v(p). Solve s(u) = 0.
0, 2/3, 1
Suppose -5*q + 22 = 7. Factor 6/5*f**4 - 6/5*f + 4/5*f**q - 2/5 + 2/5*f**5 - 4/5*f**2.
2*(f - 1)*(f + 1)**4/5
Let g(m) = -m. Let f = 5 - 5. Suppose 2*q + 4 = -f. Let v(w) = -4*w**2 - 7*w - 1. Let t(u) = q*v(u) + 6*g(u). Factor t(k).
2*(2*k + 1)**2
Let q = -794399/240 - -3310. Let v(o) be the third derivative of -1/24*o**3 + 0*o + 0 + q*o**5 - 2*o**2 + 0*o**4. Factor v(y).
(y - 1)*(y + 1)/4
Let m(x) be the second derivative of 5*x**4/12 + 10*x**3/3 - 41*x. Factor m(u).
5*u*(u + 4)
Let l be ((-3)/(-4)*2)/(-1 - -7). Factor l + 1/4*x**2 - 1/2*x.
(x - 1)**2/4
Let z(p) be the first derivative of 3*p**5/20 - p**3/2 - 2*p + 6. Let a(c) be the first derivative of z(c). Solve a(k) = 0 for k.
-1, 0, 1
Factor 2 + 26/3*y**2 + 26/3*y + 2*y**3.
2*(y + 1)*(y + 3)*(3*y + 1)/3
Factor 0 - 12/5*w**3 - 6/5*w - 27/5*w**2.
-3*w*(w + 2)*(4*w + 1)/5
Determine b, given that 5*b**4 + 20*b - 25*b**3 - 9 - 20 - 11 + 30*b**2 = 0.
-1, 2
Let x(f) be the first derivative of -f**5/180 - f**4/36 - 3*f**2/2 - 3. Let g(h) be the second derivative of x(h). Factor g(m).
-m*(m + 2)/3
Let r = 58 + -26. Let q be (r/(-12))/((-14)/6). What is i in 8/7 + q*i + 2/7*i**2 = 0?
-2
Suppose -5*c + 0*w + 3*w + 14 = 0, w + 14 = 4*c. What is u in -18/7*u**c - 2/7*u**2 + 0 + 8/7*u**5 + 12/7*u**3 + 0*u = 0?
0, 1/4, 1
Let u = 67/6 + -535/48. Let n(m) be the third derivative of 0*m + u*m**4 + 0*m**3 + 1/48*m**5 + 0 - m**2. Factor n(j).
j*(5*j + 2)/4
Let m = -13 + 20. Let j be (-6)/(-3) - (1 - m). What is f in -6*f**2 - 2*f**4 + 2*f + 10*f**5 + j*f**4 - 14*f**3 - f + 3*f = 0?
-1, 0, 2/5, 1
Let d(h) = -h**3 - 3*h**2 + 2. Let r be d(-3). Determine c so that 10*c**2 - 1 + 3*c + 2 + 3*c**3 - 7*c**r - 2*c**3 = 0.
-1
Let h(x) be the first derivative of x**5/25 + x**4/10 + x**3/15 - 17. Solve h(a) = 0.
-1, 0
Let y(u) = -u**4 - u**3 - 1. Let k(c) = 24*c**4 + 12*c**3 - 2*c**2 + 10*c + 22. Let v(s) = 2*k(s) + 44*y(s). Factor v(g).
4*g*(g - 5)*(g - 1)*(g + 1)
Let r(y) be the second derivative of -2/9*y**4 + 1/45*y**6 + 0 - 1/126*y**7 + 1/30*y**5 - 1/3*y**2 - 3*y + 7/18*y**3. Let r(a) = 0. What is a?
-2, 1
Let d(w) = -w. Let f(o) = 17*o**2 - 18*o**2 + 3 + 5*o - 2. Let t(q) = -5*d(q) - f(q). Factor t(y).
(y - 1)*(y + 1)
Solve 0*v + 0 - 2/3*v**4 + 0*v**3 + 0*v**2 = 0 for v.
0
Let l(b) be the first derivative of -1/24*b**3 - 2 - 1/48*b**4 + 0*b**2 - 4*b. Let p(v) be the first derivative of l(v). Factor p(f).
-f*(f + 1)/4
Suppose -7*m + 3*m = 192. Let i be m/18 - 3*-1. Determine z so that -i*z**3 + 1/3*z**5 + 0*z + 0 - 1/3*z**2 + 1/3*z**4 = 0.
-1, 0, 1
Solve 18/5*b + 2/5*b**3 + 12/5*b**2 + 0 = 0 for b.
-3, 0
Let b be (9/(-21))/(24/(-16)). Factor -4/7*d + b*d**2 + 2/7.
2*(d - 1)**2/7
Let c(r) be the third derivative of r**7/6300 + r**6/900 + r**5/300 - r**4/12 - r**2. Let y(t) be the second derivative of c(t). Factor y(n).
2*(n + 1)**2/5
Let z(d) be the first derivative of -4*d**3/9 + 16*d**2/3 - 64*d/3 - 2. Factor z(p).
-4*(p - 4)**2/3
Factor 1/2 + 2*n + 2*n**2.
(2*n + 1)**2/2
Let v(h) = 500*h**3 - 600*h**2 + 240*h - 28. Let s(r) = 1. Let l(b) = -4*s(b) + v(b). Factor l(j).
4*(5*j - 2)**3
Let h(j) = -6*j**2 + 14*j + 4*j**2 + 8 + 17*j**2 + 5*j**2. Let m(i) = 7*i**2 + 5*i + 3. Let k(w) = -5*h(w) + 14*m(w). Factor k(t).
-2*(t - 1)*(t + 1)
Let x = -19 - -13. Let o be -2*(27/x + 2). Let o - 6*d**2 - d - d**4 - 4*d**3 - 6 - 3*d = 0. Calculate d.
-1
Let u(m) be the third derivative of 25*m**6/96 + 5*m**5/8 + 5*m**4/8 + m**3/3 - 12*m**2. Determine f, given that u(f) = 0.
-2/5
Let c = -8/35 + 22/1015. Let t = 308/87 + c. Determine k so that -14/3*k**3 - 2/3*k + 0 - t*k**2 - 2*k**4 = 0.
-1, -1/3, 0
Determine j, given that 20/9*j - 4/9 - j**3 - 7/9*j**2 = 0.
-2, 2/9, 1
Let p(u) = -2*u - 7. Let b be p(-5). What is k in k - 6 + k**b + k**2 + 2 - 2*k + 3 = 0?
-1, 1
Let a = 3/791 - -779/3164. Factor -a - 7/4*y - 2*y**2 + 4*y**3.
(y - 1)*(4*y + 1)**2/4
Let r(m) = 11*m**3 - 6*m**2 + 17*m. Let u(k) be the second derivative of -k**5/5 + k**4/6 - k**3 + 5*k. Let h(l) = 6*r(l) + 17*u(l). Find z such that h(z) = 0.
-1, 0
Let m(g) be the first derivative of 2*g**2 + 1/3*g**3 + 2 + 4*g. Solve m(k) = 0.
-2
Solve 269*a**2 + 227*a**2 + 15*a**3 - 546*a**2 - 40*a = 0 for a.
-2/3, 0, 4
Suppose -5*f - 4*r = -4, f - 16 = -r + 4*r. Suppose f*z - 5 = 3. Suppose 2*q - 3*q**2 - z*q**3 + 6*q**4 + 4*q**5 - 3*q**2 - 4*q = 0. What is q?
-1, -1/2, 0, 1
Let f(t) be the third derivative of -t**5/15 + 8*t**3/3 - 2*t**2. Factor f(o).
-4*(o - 2)*(o + 2)
Suppose -2*c + 3 = 4*s - 31, -2*s - 4*c = -32. Let a be (0/s)/(-1 + 4). Suppose a - 2/3*v**2 + 1/3*v**3 + 1/3*v = 0. What is v?
0, 1
Let l = -80 - -115. Suppose -5*f - 5*g = -l, f + f = 2*g + 2. What is c in 8*c - f*c**3 - 4*c - 2*c + 2*c**5 = 0?
-1, 0, 1
Suppose 3 = -f + 6. Solve 2 - n**4 - 4*n - 2*n**f + 0*n**3 - n**4 + 6*n**3 = 0 for n.
-1, 1
Determine n, given that -6/13*n**3 - 2/13*n - 6/13*n**2 - 2/13*n**4 + 0 = 0.
-1, 0
Let r(y) be the third derivative of 1/21*y**4 - 3/245*y**7 - 8/105*y**5 + 0*y**3 + 0 + 1/20*y**6 + y**2 + 0*y. Factor r(k).
-2*k*(k - 1)*(3*k - 2)**2/7
Factor 1/3*k**3 + 0 - 2/3*k - 1/3*k**2.
k*(k - 2)*(k + 1)/3
Find g such that -4 + 24 - 2*g**2 + g - 3*g + 8*g = 0.
-2, 5
Let z(c) be the second derivative of 0 - 7/24*c**4 + 0*c**2 - 1/8*c**5 - 1/6*c**3 + 6*c. Factor z(f).
-f*(f + 1)*(5*f + 2)/2
Let t(a) = -15*a**3 + 31*a**2 - 3*a - 19. Let l(g) = 29*g**3 - 61*g**2 + 5*g + 37. Let i(f) = 3*l(f) + 5*t(f). Determine j so that i(j) = 0.
-2/3, 1, 2
Let a(q) = q**3 - q**2 - q + 1. Let w(p) = -4*p**3 + 4*p. Let m(u) = -2*a(u) - w(u). Factor m(x).
2*(x - 1)*(x + 1)**2
Suppose -4*g + 23 = 3*w, -g - 3*g + 3*w = 7. Let o(h) = -h**2 + 6*h - 1. Let b be o(5). What is a in -2*a**2 - a**3 + 3*a**3 + b*a**g = 0?
-1, 0
Let a be ((-32)/(-12))/(2/3). Suppose 0 = a*f - 2*f - 4. Find p, given that 1/2*p**f + 0 + p = 0.
-2, 0
Let t be -6*5*(-6)/(-5). Let n be (-6)/(-5) + t/(-45). Factor 0*a**3 + 2/7*a + 0 + 1/7*a**4 - 3/7*a**n.
a*(a - 1)**2*(a + 2)/7
Let r(v) = -3*v**4 + 2*v**3 + v**2 - 2*v + 2. Let p(j) = -7*j**4 + 4*j**3 + 2*j**2 - 4*j + 5. Let s(h) = 2*p(h) - 5*r(h). Let s(g) = 0. What is g?
-1, 0, 1, 2
Factor 3*n**2 + 27/7*n**3 + 6/7*n + 15/7*n**4 + 3/7*n**5 + 0.
3*n*(n + 1)**3*(n + 2)/7
Let l(b) be the second derivative of 2*b**7/3 + 52*b**