Suppose 7*q = -0 + 28. Factor -6*d**4 + 16*d**2 - 12*d**3 + 10*d**q + 28*d**3.
4*d**2*(d + 2)**2
What is l in -3/2*l**2 - 3/2 - 3*l = 0?
-1
Let b = 1181/9 - 131. Let p = 778 - 6992/9. Factor p*z**2 + b*z + 0.
2*z*(5*z + 1)/9
Factor -2/5*h**3 + 128/5 + 24/5*h**2 - 96/5*h.
-2*(h - 4)**3/5
Suppose -l**2 + 0 - 1/3*l**3 + 4/3*l = 0. Calculate l.
-4, 0, 1
Let 22 - 2 - 3*z**2 - 3*z - 2 = 0. Calculate z.
-3, 2
Let b(j) be the first derivative of -27*j**5/5 - 12*j**4 - 5*j**3 + 3*j**2 - 7. Factor b(v).
-3*v*(v + 1)**2*(9*v - 2)
Let m be 1/(-4)*62/(-775). Let w(j) be the second derivative of 1/150*j**6 + 0*j**3 - m*j**5 + 0*j**2 - 4*j + 0 + 1/210*j**7 + 0*j**4. Factor w(s).
s**3*(s - 1)*(s + 2)/5
Let t(j) = j**2 - j - 1. Let v(f) = -6*f**2 + 5*f + 7. Let h(o) = 35*t(o) + 5*v(o). Let h(d) = 0. Calculate d.
0, 2
Let a(o) be the third derivative of -o**7/42 - o**6/8 - o**5/6 + 14*o**2. Factor a(y).
-5*y**2*(y + 1)*(y + 2)
Suppose -3*j - 17 + 23 = 0. Let r be 10/6*(-6)/(-4). Solve 5*o**3 - 5/2*o**4 - 5*o**j + 1/2*o**5 - 1/2 + r*o = 0.
1
Let d = 89/348 - 5/29. Let x(s) be the second derivative of 2*s + 1/6*s**3 + 0*s**2 - d*s**4 + 0. Factor x(y).
-y*(y - 1)
Let z - 2 - 21*z**2 + 25*z**2 + 2*z**3 - 5*z**3 = 0. What is z?
-2/3, 1
Factor -8/3*w**2 + 0 + 4/3*w**3 + 0*w + 4/3*w**4.
4*w**2*(w - 1)*(w + 2)/3
Let u(n) be the second derivative of 0 - 2/3*n**2 + 8*n - 5/9*n**3 + 1/6*n**4. Find b, given that u(b) = 0.
-1/3, 2
Let t = -29073/7 + 4163. Let j = t + -155/21. Let 0 + 11/3*p**2 + 2/3*p + j*p**4 + 16/3*p**3 = 0. Calculate p.
-1, -2/7, 0
Solve 1/2*k**3 + 7/2*k - 5/2*k**2 - 3/2 = 0 for k.
1, 3
Suppose -r - 208 = -5*r. Let w be r/20 + (-2)/(-5). Let -10*k + w - 2*k**2 + 2*k**4 - 4*k**2 - 7 + 2*k**3 = 0. What is k?
-1, 2
Let z(d) = d**3 - 2*d**2 - 2*d. Let o(p) = 2*p**3 - 6*p**2 - 7*p. Let g(h) = -4*o(h) + 14*z(h). What is s in g(s) = 0?
0, 2/3
Let l(j) be the third derivative of j**7/5040 - j**6/360 + j**5/80 + 7*j**4/24 - 4*j**2. Let d(i) be the second derivative of l(i). Factor d(b).
(b - 3)*(b - 1)/2
Let h(z) = z**4 - z**3 - z + 1. Let q(g) = -20*g**4 + 35*g**3 + 15*g - 30. Let v(y) = -25*h(y) - q(y). Let v(s) = 0. Calculate s.
-1, 1
Let r = -155/3 + 52. Find g, given that 0*g - r*g**2 + 1/3 = 0.
-1, 1
Let i = 27 + -133/5. Suppose 16/5*m**2 + i + 6/5*m**4 + 9/5*m + 1/5*m**5 + 14/5*m**3 = 0. Calculate m.
-2, -1
Find p such that 0*p + 495*p**2 + 7*p - 7*p**3 - 1 - 494*p**2 = 0.
-1, 1/7, 1
Let h(x) = -30*x**3 + 9*x**2 + 27*x - 9. Let w(l) = 4 + l**3 - 12 + 28*l + 9*l**2 + 6*l**3 - 38*l**3. Let m(c) = 4*h(c) - 3*w(c). Factor m(u).
-3*(u + 1)*(3*u - 2)**2
Solve 1/4 - 1/4*p**2 + 0*p = 0.
-1, 1
Let d(u) be the first derivative of u**3/6 + u**2 + 3*u/2 - 44. Suppose d(a) = 0. What is a?
-3, -1
Let f be 3/(-1) - (-11)/3. Let v(j) be the second derivative of 0 + 2/9*j**3 + j + f*j**2 + 1/36*j**4. Find p, given that v(p) = 0.
-2
Let u = -41 + 43. Let b(a) be the first derivative of u - 4/5*a + 3/5*a**2 - 2/15*a**3. Factor b(l).
-2*(l - 2)*(l - 1)/5
Let q(j) be the first derivative of -j**6/6 - j**5/5 + j**4/4 + j**3/3 - 1. Determine a so that q(a) = 0.
-1, 0, 1
Factor 0 + 0*o - 6/13*o**2 - 2/13*o**4 - 8/13*o**3.
-2*o**2*(o + 1)*(o + 3)/13
Let j = 89 - 58. Let n = j + -29. Determine t, given that -2/11*t**n + 0*t + 0 + 2/11*t**5 - 2/11*t**3 + 2/11*t**4 = 0.
-1, 0, 1
Let g be (-226)/(-1)*2/(-4). Let x = g + 343/3. Factor 2/3*v**2 - 2*v + x.
2*(v - 2)*(v - 1)/3
Let k(v) be the first derivative of -v**6/165 + v**5/110 + v**4/66 - v**3/33 + 8*v + 1. Let i(u) be the first derivative of k(u). Determine j so that i(j) = 0.
-1, 0, 1
Suppose 3/5*i**5 + 0 + 3/5*i**3 + 0*i + 0*i**2 + 6/5*i**4 = 0. Calculate i.
-1, 0
Let b be (8/300)/(1 + 10/6). Let s(w) be the third derivative of 1/60*w**4 + 0 + b*w**6 - 1/50*w**5 + w**2 + 0*w**3 + 0*w - 1/525*w**7. Solve s(t) = 0 for t.
0, 1
Let -6*a**3 - 3*a + 9*a**3 + 3*a - 12*a**2 = 0. Calculate a.
0, 4
Suppose 0 = 9*p - 7*p - 6. Let j(l) be the second derivative of 4/3*l**p + 1/6*l**4 + 2*l + 4*l**2 + 0. Factor j(r).
2*(r + 2)**2
Let n(v) be the third derivative of v**7/420 - 3*v**6/80 + 29*v**5/120 - 13*v**4/16 + 3*v**3/2 + 16*v**2. Factor n(c).
(c - 3)**2*(c - 2)*(c - 1)/2
Let l(s) be the first derivative of -2*s**3/3 + 3*s**2 - 4*s + 9. Factor l(f).
-2*(f - 2)*(f - 1)
Let w be (25/(-20))/(1/(-4)). Suppose 0 = s + 3*t - 4, w*s = 2*s - 3*t + 12. Solve -2*u**2 + u**s + u + 0*u**4 - 2*u**3 + u**3 + u**2 = 0.
-1, 0, 1
Let z(d) be the third derivative of d**7/210 - d**6/20 + 13*d**5/60 - d**4/2 + 2*d**3/3 + 4*d**2. Factor z(o).
(o - 2)**2*(o - 1)**2
What is z in 2*z**3 + 5/6*z**4 + 1/3*z + 0 + 3/2*z**2 = 0?
-1, -2/5, 0
Suppose -21/8*n**2 + 0*n - 3/8*n**3 + 0 = 0. What is n?
-7, 0
What is u in -4/5 + 8/5*u - 4/5*u**2 = 0?
1
Let b(d) be the first derivative of -4/5*d**5 + 4/3*d**3 + 0*d - 2*d**4 - 6 + 4*d**2. Factor b(a).
-4*a*(a - 1)*(a + 1)*(a + 2)
Let k(g) = -g**3 + g + 1. Let d(l) = -4*l**3 - l**2 + 5*l + 5. Let v(p) = d(p) - 5*k(p). Solve v(h) = 0 for h.
0, 1
Let o(j) be the second derivative of j + 1/2*j**2 + 1/3*j**3 + 1/12*j**4 + 0. Factor o(x).
(x + 1)**2
Suppose l - 3 = 1. Let w be 2/(-18)*(-6)/l. What is n in -w*n**2 + 0 - 1/6*n**3 + 0*n = 0?
-1, 0
Let y = 1 + 1. Suppose 2*l + 19 - 139 = 0. Factor 4 + 89*g**2 + 8*g**5 + 30*g - 9*g**y + 100*g**3 + l*g**4 + 6*g**5.
2*(g + 1)**4*(7*g + 2)
Let l(a) be the third derivative of -3/20*a**5 + 1/40*a**6 - 1/2*a**3 - 5*a**2 + 0 + 3/8*a**4 + 0*a. Let l(s) = 0. What is s?
1
Find m such that 0*m - 2/3*m**2 + 2/3 = 0.
-1, 1
Let g = -4 + 6. Suppose 0 = -4*c - 3*r + 13, 5*c + g*r - 16 = -2*r. Find j, given that 2/3*j**2 + 4/3*j**c + 5/3*j**3 + 0*j + 1/3*j**5 + 0 = 0.
-2, -1, 0
Determine x so that -3/2*x + 0*x**3 + 3/2*x**5 + 0 + 3*x**2 - 3*x**4 = 0.
-1, 0, 1
Factor 14*q**2 + 9*q + 40 - 9*q**2 + 21*q.
5*(q + 2)*(q + 4)
Let y = -418/7 + 60. Factor -y*s**2 + 0 - 2/7*s**3 + 4/7*s.
-2*s*(s - 1)*(s + 2)/7
Suppose 0*i + 3*i = 6. Determine j so that 3*j**3 - 4*j**2 + 7*j**i + 9*j**2 + 12*j**3 + 6*j**4 + 3*j = 0.
-1, -1/2, 0
Let u(t) be the first derivative of t**6/1800 - 2*t**3/3 + 6. Let g(n) be the third derivative of u(n). Factor g(k).
k**2/5
Suppose -2*h = z - 2, -2*h + 8 = 3*h + z. Let j be 17/33 + h/(-11). Determine u so that 0 - 1/3*u + j*u**2 = 0.
0, 1
Determine h so that -2/5*h**2 + 0 + 0*h = 0.
0
Let u = 83 - 81. Factor -2/5*t - 2/5*t**3 - 4/5*t**u + 0.
-2*t*(t + 1)**2/5
Suppose 12 = -3*f - 63. Let v = 27 + f. Determine i, given that 4/7 - 2/7*i - 2/7*i**v = 0.
-2, 1
Let n(p) be the second derivative of p**6/1800 - 2*p**3/3 + p. Let b(g) be the second derivative of n(g). Factor b(r).
r**2/5
Let h(c) be the first derivative of -2*c**5/5 + 8*c**4 - 52*c**3 + 112*c**2 - 98*c + 5. Factor h(n).
-2*(n - 7)**2*(n - 1)**2
Let o(a) be the third derivative of 1/150*a**5 + 0*a - 7*a**2 + 0 + 1/20*a**4 + 2/15*a**3. Factor o(c).
2*(c + 1)*(c + 2)/5
Let d be 58/96 - (-21)/(-35). Let c(h) be the third derivative of 1/12*h**3 - h**2 - d*h**6 + 0 + 0*h - 1/16*h**4 + 1/40*h**5. Determine o, given that c(o) = 0.
1
Suppose -20/17*b - 2/17*b**2 + 0 = 0. Calculate b.
-10, 0
Let t(o) be the first derivative of -o**4/42 + 4*o**3/21 - 4*o**2/7 - 3*o + 1. Let x(h) be the first derivative of t(h). Let x(i) = 0. What is i?
2
Factor 54*q**5 - q**4 - q**2 - 3*q**3 - 55*q**5 - 2*q**4 + 0*q**3.
-q**2*(q + 1)**3
Let w(q) = -q**3 - 26*q**2 - 25*q + 4. Let z be w(-25). Let m = 169/60 - 3/20. Suppose -2/3*u**4 + 8/3*u + m*u**3 - 2/3 - z*u**2 = 0. Calculate u.
1
Let h be (-595)/1386 - (-4)/18. Let f = h + 7/18. Factor -2/11*w**3 - 2/11 + f*w + 2/11*w**2.
-2*(w - 1)**2*(w + 1)/11
Determine y so that 4*y**2 + 4*y + 2*y**3 + 6*y**2 - 3*y**2 - y**2 = 0.
-2, -1, 0
Let i = -5573/30 + 186. Let h(t) be the third derivative of 0*t - 1/15*t**7 - 2*t**2 + 0 + 0*t**3 + i*t**5 + 1/6*t**4 - 1/30*t**6. Factor h(u).
-2*u*(u - 1)*(u + 1)*(7*u + 2)
Determine r, given that 8 - 9*r**2 - 8*r**4 - 47*r**3 + 28*r - 4*r**5 + 27*r**2 + 55*r**3 + 14*r**2 = 0.
-1, 2
Find p, given that -16*p**2 - 6*p**3 + 1 + 2*p**3 + 22*p**2 + p**4 - 4*p = 0.
1
Let m(i) be the first derivative of -1/30*i**6 + 3 + 0*i**3 + 1/10*i**4 + 0*i + 0*i**2 - 1/25*i**5. Factor m(b).
-b**3*(b - 1)*(b + 2)/5
Let w(x) be the third derivative of x**6/40 - x**5/20 - x**3/2 - 7*x**2. Let z(s) 