 -3/8 - 1/4*j + 1/8*j**2.
(j - 3)*(j + 1)/8
Suppose -2*b = b - 9. Factor 0*s - 2*s + 2*s**3 - s - b*s - 4.
2*(s - 2)*(s + 1)**2
Suppose -3*d - 2*g + 0*g = -127, -5*g + 210 = 5*d. Let s = d - 31. Determine m, given that 13*m**2 + 2*m**4 - 6*m**3 + 3 - s*m + 1 - m**4 = 0.
1, 2
Let y be -2 - -3 - 45/55. Factor -y*i**2 - 18/11 - 12/11*i.
-2*(i + 3)**2/11
Factor 1/3*b**3 - 1/3*b + 1 - b**2.
(b - 3)*(b - 1)*(b + 1)/3
Let k(h) = -24*h**4 - 28*h**3 - 16*h**2 + 16. Let t(p) = 8*p**4 + 9*p**3 + 5*p**2 - 5. Let j(l) = 5*k(l) + 16*t(l). Factor j(m).
4*m**3*(2*m + 1)
Let b(c) be the second derivative of -c**5/5 + 14*c. What is y in b(y) = 0?
0
Suppose 3*r = 9*r - 216. Let t be (-3 + 100/r)*-6. Solve -13/3*a**3 + t*a**4 + 0 + 11/3*a**2 - 2/3*a = 0 for a.
0, 1/4, 1, 2
Let c = -1 + 7. Let q = -6 + c. Factor q*d**2 + 2/5*d**3 + 0*d + 2/5*d**4 + 0.
2*d**3*(d + 1)/5
Let a(q) = q**3 + 3*q**2 - 11*q - 3. Let k be a(-5). What is b in 3/4*b**k + 0*b + 3/2*b**3 + 0 + 3/4*b**4 = 0?
-1, 0
Let f(n) be the second derivative of 0 + 0*n**3 + 0*n**2 + 0*n**4 + 6*n - 1/10*n**5. Suppose f(g) = 0. What is g?
0
Let d(c) = 492*c**3 - 572*c**2 + 202*c - 32. Let f(a) = 197*a**3 - 229*a**2 + 81*a - 13. Let x(u) = 5*d(u) - 12*f(u). Let x(z) = 0. Calculate z.
1/4, 2/3
Suppose 1/6*l**4 + 0 + 1/6*l**2 + 1/3*l**3 + 0*l = 0. Calculate l.
-1, 0
Let w(z) be the third derivative of z**8/5880 - z**6/840 - z**5/420 + z**4/24 - z**2. Let k(m) be the second derivative of w(m). Let k(l) = 0. Calculate l.
-1/2, 1
Determine v, given that -4 + 409*v**3 - 426*v**2 + 12*v**3 + 70*v + 74*v**2 - 37*v**3 = 0.
1/8, 2/3
Let l(n) be the first derivative of -n**4/12 + n**3/6 + n**2 + 4*n - 4. Let q(m) be the first derivative of l(m). Factor q(h).
-(h - 2)*(h + 1)
Let q(b) be the second derivative of 0*b**2 + 1/30*b**4 + 0 + 4*b + 0*b**3. Solve q(p) = 0.
0
Let t(z) = 4*z**4 - 3*z**3 - 11*z**2 - 3*z + 7. Let d(a) = 12*a**4 - 8*a**3 - 32*a**2 - 8*a + 20. Let u(y) = -3*d(y) + 8*t(y). Factor u(j).
-4*(j - 1)**2*(j + 1)**2
Let o be (3/(-42))/(18/(-44)). Let n = 1/21 + o. Determine m so that 0 - 4/9*m + n*m**2 = 0.
0, 2
Let b(o) be the first derivative of o**4 + 8*o**3/3 + 2*o**2 - 5. Find y such that b(y) = 0.
-1, 0
Factor -3/5*j**4 - 81/5 - 108/5*j**2 - 6*j**3 - 162/5*j.
-3*(j + 1)*(j + 3)**3/5
Solve 1/5*w**2 + 0*w - 1/5 = 0.
-1, 1
Let q(z) be the first derivative of 3*z**4/4 - 4*z**3 - 51. Factor q(a).
3*a**2*(a - 4)
Suppose 21*m + 15 + 9*m**2 - 5*m + 16*m**2 + 24*m = 0. What is m?
-1, -3/5
Let r(g) be the third derivative of -g**8/840 + g**7/525 + g**6/300 - g**5/150 + 3*g**2. Factor r(p).
-2*p**2*(p - 1)**2*(p + 1)/5
Let x(v) be the second derivative of -v**5/100 + v**4/20 - 4*v. Find c such that x(c) = 0.
0, 3
Let d = -13 - -15. Let w(c) be the first derivative of 1/3*c**3 - 2*c + 2 - 1/2*c**d. Solve w(y) = 0 for y.
-1, 2
Let d(i) be the first derivative of i**6/2 - 3*i**5/5 + 2. Factor d(w).
3*w**4*(w - 1)
Let y(t) be the third derivative of -t**5/12 + 5*t**4/24 + 10*t**3 + 3*t**2. Solve y(c) = 0 for c.
-3, 4
Suppose 2*r + 2*r = 12. Factor 12*y - 59*y**2 - 9*y**3 + 59*y**2 - r*y**4.
-3*y*(y - 1)*(y + 2)**2
Let k = -6 + 9. Suppose 0 = -y + 5, 4*y + 8 = k*g + 19. Find c, given that -3*c**4 + 10*c**2 + c**2 - 6*c**2 + 4*c**2 - 6 - 3*c + g*c**3 = 0.
-1, 1, 2
Let i(y) be the second derivative of -3*y**7/1120 - y**6/120 - y**5/120 + y**3/6 + y. Let v(p) be the second derivative of i(p). Find g such that v(g) = 0.
-2/3, 0
Let y(p) be the second derivative of -p**3/6 + 4*p**2 - 5*p. Let v be y(8). Factor 4/5*x + 6/5*x**2 - 2*x**3 + v.
-2*x*(x - 1)*(5*x + 2)/5
Suppose -4*c - 16 = 0, 6*l + c + 4 = l. Find y, given that 1/3*y**4 + 0*y**3 - 1/3*y**2 + l*y + 0 = 0.
-1, 0, 1
Let z = -89 + 89. Let c(n) be the third derivative of 1/315*n**7 + 1/9*n**3 - 1/45*n**5 + 0*n + 0*n**6 + 0*n**4 - 3*n**2 + z. Let c(u) = 0. What is u?
-1, 1
Factor -56/9*d - 499/9*d**3 - 121/9*d**5 + 265/9*d**2 + 4/9 + 407/9*d**4.
-(d - 1)**3*(11*d - 2)**2/9
Suppose 6*v**2 + 8*v + 6*v**3 + 8*v**2 + 2*v**2 = 0. Calculate v.
-2, -2/3, 0
Let l(o) be the first derivative of -2*o**3/3 + 16*o**2 - 128*o + 30. Factor l(k).
-2*(k - 8)**2
Suppose 0*d - 5*d = 0. Let q(a) be the second derivative of 1/168*a**7 + 1/40*a**5 + 0*a**2 + d*a**3 + 0*a**4 - 2*a + 1/40*a**6 + 0. Find x such that q(x) = 0.
-2, -1, 0
Factor 9/4*f + 1/4*f**4 - 5/4*f**3 + 0 + 3/4*f**2.
f*(f - 3)**2*(f + 1)/4
Let b(j) be the first derivative of -j**3/6 + 3*j**2/2 - 9*j/2 - 11. Factor b(x).
-(x - 3)**2/2
Find o such that 4/9*o**3 + 0*o**2 - 14/9*o**4 + 0 + 0*o = 0.
0, 2/7
Let o(m) be the third derivative of 0*m + 7*m**2 - 2/15*m**5 + 0 - 1/105*m**7 + 0*m**3 - 1/15*m**6 + 0*m**4. Solve o(b) = 0.
-2, 0
Factor -5/11*g**4 - 7/11*g**2 - 1/11*g**5 - 9/11*g**3 + 0 - 2/11*g.
-g*(g + 1)**3*(g + 2)/11
Suppose 2*y + 2*n = 6*n + 14, -3*y - 3*n = -3. Let t(k) be the second derivative of 1/12*k**y + 0*k**2 + 0 - k + 1/24*k**4. Suppose t(j) = 0. What is j?
-1, 0
Factor 0*k**2 + 2/11*k**5 + 0*k + 2/11*k**3 + 0 - 4/11*k**4.
2*k**3*(k - 1)**2/11
Let w(m) be the second derivative of m**7/1260 - m**6/270 + m**5/180 - m**3/6 - 2*m. Let n(s) be the second derivative of w(s). Determine z so that n(z) = 0.
0, 1
Let r(v) be the first derivative of 0*v**2 + 3 - 2*v**3 + 0*v + 3/4*v**4. Factor r(u).
3*u**2*(u - 2)
Suppose -l - 10 = 3*c, -3*l + 3*c - 2 = -20. What is a in 4 - 4 - a + a**2 + 0*a**l = 0?
0, 1
Let -4*l + 72 - 14*l - 6*l + 2*l**2 = 0. What is l?
6
Let d(v) be the first derivative of v**4/3 - v**2/2 - v/3 + 39. Solve d(s) = 0 for s.
-1/2, 1
Let x(r) = -r**2 - 7*r + 6. Let m(i) be the first derivative of 2 - 13*i + 15/2*i**2 + 2/3*i**3. Let d(v) = 6*m(v) + 13*x(v). Factor d(t).
-t*(t + 1)
Let u = 12 + -8. Suppose 0 = -0*r - u*r + 12. Solve 4*d + 2 + 2*d**4 - 2 - 4*d**r + 3 - 5 = 0 for d.
-1, 1
Suppose 3/4*y**3 + 2601/4*y + 153/4*y**2 + 14739/4 = 0. Calculate y.
-17
Let u be (-15)/9 - -2 - (-3)/18. Let l(n) be the first derivative of 0*n + 1/3*n**3 + 3 + 1/4*n**4 - 1/5*n**5 - u*n**2. Factor l(b).
-b*(b - 1)**2*(b + 1)
Suppose 4 + 2*g**3 + 4 - 8 - 2*g**4 = 0. What is g?
0, 1
Let b(z) be the second derivative of z**5/50 - 7*z**4/30 + 16*z**3/15 - 12*z**2/5 - 27*z. Determine x so that b(x) = 0.
2, 3
Let 4/11*y**3 - 4/11*y + 2/11*y**2 - 2/11*y**4 + 0 = 0. What is y?
-1, 0, 1, 2
Let r(o) be the third derivative of o**2 + 0*o - 1/84*o**4 + 0*o**3 - 1/210*o**5 + 0. Determine y so that r(y) = 0.
-1, 0
Let u(v) be the first derivative of -v**4/22 + 10*v**3/33 + v**2/11 - 10*v/11 - 19. Factor u(k).
-2*(k - 5)*(k - 1)*(k + 1)/11
Let f(u) = u**3 - 2*u**2 - 4*u + 7. Let v be f(3). Suppose -2/15*r**3 + 0 + 0*r**2 - 2/15*r**5 - 4/15*r**v + 0*r = 0. What is r?
-1, 0
Let z(u) = -u**3 + 4*u**2 + 24*u - 18. Let n be z(7). Factor -1/3*w + w**2 + 0 + 4/3*w**n.
w*(w + 1)*(4*w - 1)/3
Factor -66*n + 4*n**2 + 379 + 108*n + 102*n + 917.
4*(n + 18)**2
Suppose -3 - 1 = -4*l. Let a be l/2 + 10/4. Suppose c**4 + 1/2*c + 0 + 2*c**2 + 5/2*c**a = 0. Calculate c.
-1, -1/2, 0
Factor -16/7 + 8/7*w - 1/7*w**2.
-(w - 4)**2/7
Let w(n) be the third derivative of 1/660*n**6 + 1/1155*n**7 - 1/330*n**5 + 0 - 1/132*n**4 - 6*n**2 + 0*n**3 + 0*n. Factor w(o).
2*o*(o - 1)*(o + 1)**2/11
Factor 2/3*i - 49/6*i**4 + 4*i**2 + 7/2*i**3 + 0.
-i*(i - 1)*(7*i + 2)**2/6
Let z = 1214 - 6049/5. Solve 57/5*d**3 - z*d**5 - 12/5 + 27/5*d**4 - 123/5*d**2 + 72/5*d = 0.
-2, 2/7, 1
Let c = 1153 + -1151. Factor 0 - 2/3*s**c - 4/9*s.
-2*s*(3*s + 2)/9
Let k(m) = 12*m**4 + 17*m**3 + 5*m**2 - 9*m. Let u(t) = 6*t**4 + 8*t**3 + 2*t**2 - 4*t. Let b(s) = 4*k(s) - 9*u(s). Solve b(v) = 0 for v.
-1, 0, 1/3
Let z(g) be the first derivative of g**4 - 3*g**3 + 3*g**2 - g - 22. Factor z(o).
(o - 1)**2*(4*o - 1)
Let b(n) be the second derivative of 0 + 3/16*n**4 + 3/80*n**5 + 0*n**2 + 1/4*n**3 - 6*n. Factor b(m).
3*m*(m + 1)*(m + 2)/4
Let v be 95/13 + (-63)/9. Determine n, given that 4/13*n**3 - 2/13*n**5 - v*n**2 - 2/13*n + 2/13*n**4 + 2/13 = 0.
-1, 1
Let s(m) be the first derivative of 1/2*m**4 - 1/6*m**6 - 1 - 2/3*m**3 + 1/5*m**5 + m - 1/2*m**2. Let s(x) = 0. Calculate x.
-1, 1
Let q = -24 + 51. Let o be 6*(-6)/q*-1. Find g such that 1/3*g**5 + 0 + o*g + 4*g**2 + 13/3*g**3 + 2*g**4 = 0.
-2, -1, 0
Let q(s) = -s**3 - 3*s**2 + 4*s. Let k be q(-4). Suppose -2 + k = -i. Solve 4/7*x + 2/7