*2 + 3/4*w**3 - 3/4*w**4 - 6 - 3*w = 0.
-2, -1, 2
Let u(c) = 3*c**2 + c. Let t(g) = g**2 - g - 1. Let l(s) = 2*t(s) - u(s). Find q, given that l(q) = 0.
-2, -1
Suppose -4*h + 14 + 6 = 0, 4*h = -4*o + 20. Suppose -3*l = -o*l + 4*y + 2, -l + 5*y + 12 = 0. Factor 5*x**3 + 5*x**l - 2*x**3 + 0*x**2 + 2*x.
x*(x + 1)*(3*x + 2)
Let z(b) = -b**3 + b**2 + 1. Suppose 3 = 2*m - 1. Let n(j) = j**3 - 3*j**2 + j - 1. Let y(w) = m*n(w) + 4*z(w). Factor y(q).
-2*(q - 1)*(q + 1)**2
Let r = -4 + 3. Let k be (0/r)/(16/8). Factor 1/3*o**2 - 1/3 + k*o.
(o - 1)*(o + 1)/3
Let d(o) be the third derivative of o**7/840 + o**6/160 - o**4/24 + o**2 - 1. Factor d(i).
i*(i - 1)*(i + 2)**2/4
Let c(w) be the first derivative of -2*w**5/45 + 2*w**3/27 + 22. Solve c(q) = 0 for q.
-1, 0, 1
Let i(h) be the second derivative of -1/130*h**5 + 0 - 4/39*h**3 - 4*h + 2/39*h**4 + 0*h**2. Find g such that i(g) = 0.
0, 2
Factor 4*k**4 + 2*k + 3*k**5 - 5*k**2 + 4*k**5 - 9*k**5 + k**2.
-2*k*(k - 1)**3*(k + 1)
Suppose 3*j - 2*a - a - 12 = 0, 3*a - 13 = -2*j. Let v = 5 - j. Factor 2/3*w**2 + v - 2/3*w.
2*w*(w - 1)/3
Let n = 70 + -42. Let h = -26 + n. Factor -1/2 - h*c**3 + 7/2*c**2 - c.
-(c - 1)**2*(4*c + 1)/2
Let c = 6 - 4. Let r = -5/44 + 4/11. Solve r*s**3 + 0*s**c + 0 - 1/4*s = 0 for s.
-1, 0, 1
Let y = -10 + 8. Let t(l) = -l**3 + 8*l**2 + 4*l + 5. Let q(p) = 4*p**2 + 2*p + 2. Let j(r) = y*t(r) + 5*q(r). Factor j(h).
2*h*(h + 1)**2
Let b be (8/(-24))/((-1)/(-3)). Let z = b - -5. Solve 2/7*r + 2/7*r**2 + 0 - 2/7*r**z - 2/7*r**3 = 0.
-1, 0, 1
Find u, given that -33 + 3*u**2 + 30 - 12*u**3 + 0*u + 12*u = 0.
-1, 1/4, 1
Factor -3/2*j + 2 + 1/4*j**2.
(j - 4)*(j - 2)/4
Let j(l) be the third derivative of -l**5/60 + 3*l**4/8 - 39*l**2. Factor j(m).
-m*(m - 9)
Suppose 0*j - 2*q = -5*j + 7, -2*j - 4*q + 22 = 0. Find n, given that n**3 + 2*n - 2*n**2 - 5*n**3 + n**4 + 2*n**j + n**4 = 0.
-1, 0, 1
Let x = -80 - -20. Let s be 1*(-5)/(x/8). Factor -1/3*a**2 + 0 + s*a.
-a*(a - 2)/3
Let v = 165 - 163. Let 3/2 - 3/4*y - 3/4*y**v = 0. What is y?
-2, 1
Let x be 50/32 - (-15)/(-10). Let o = x - -23/16. Determine r, given that -1/2*r**3 + 1/2 + o*r**2 - 3/2*r = 0.
1
Let i(l) = 3*l**2 - 4. Let m = 6 - 4. Suppose q - 4*n + 4 = 20, 2 = 2*q + m*n. Let h(g) = g**2 + g. Let r(z) = q*h(z) - i(z). Factor r(o).
(o + 2)**2
Let i = -22 + 24. Find o such that 3*o**3 - o**3 - i*o - 2*o**4 + 2*o**2 - 2*o**3 + 2*o**3 = 0.
-1, 0, 1
Let b(z) be the second derivative of z**5/130 + z**4/26 + z**3/13 + z**2/13 + 4*z - 8. Solve b(j) = 0 for j.
-1
Suppose -2*v + 4*f + 12 = -22, -3*f = -5*v + 99. Determine g, given that -4*g + 3*g**2 + 3*g + 2 - 25*g**2 + v*g**3 = 0.
-2/7, 1/3, 1
Let m(i) be the third derivative of -i**10/151200 - i**9/30240 - i**8/20160 - i**5/15 - 3*i**2. Let w(v) be the third derivative of m(v). Factor w(y).
-y**2*(y + 1)**2
Let x(n) be the third derivative of n**8/420 - n**6/25 + 8*n**5/75 - n**4/10 + 4*n**2 - 10. Factor x(d).
4*d*(d - 1)**3*(d + 3)/5
Let u(v) be the second derivative of 1/360*v**5 + 0*v**2 + 0 - 1/360*v**6 - 1/3*v**3 + v + 0*v**4. Let w(c) be the second derivative of u(c). Factor w(k).
-k*(3*k - 1)/3
Let p be (-4)/(-18) - 86/(-18). Let x = 7 - p. Suppose 0*u**x - u**2 + 5*u**2 - 18*u**4 - 14*u**3 = 0. Calculate u.
-1, 0, 2/9
Let c(p) be the second derivative of p**6/75 - p**5/50 - p**4/30 + p**3/15 + 6*p. Factor c(n).
2*n*(n - 1)**2*(n + 1)/5
Suppose -3*h = 2*h. Suppose h = 4*p + 1 - 5. Let p - 1 + 2*b**2 + 4*b + 2 = 0. What is b?
-1
Suppose -2*b = -7*b. Factor -4/5*f**2 - 2/5*f + b + 6/5*f**3.
2*f*(f - 1)*(3*f + 1)/5
Let j(h) be the second derivative of 5*h + 1/30*h**5 - 1/3*h**2 + 1/3*h**3 - 1/6*h**4 + 0. Factor j(w).
2*(w - 1)**3/3
Let m(v) be the second derivative of -1/5*v**2 + 1/5*v**5 + 1/3*v**3 + 0 + 3*v - 1/3*v**4 - 1/15*v**6 + 1/105*v**7. Let m(h) = 0. What is h?
1
Suppose -3*o + 3 + 6 = 0. Solve 6*x + 4 - o*x + 8*x**2 - 4*x**2 + 5*x = 0 for x.
-1
Solve 65*w**4 - 35*w**4 - 10*w**3 + 4*w**2 - 35*w**4 + w**2 + 10*w = 0 for w.
-2, -1, 0, 1
Let z(q) be the second derivative of -q**6/45 + q**5/30 + q**4/18 - q**3/9 + 8*q. Find m, given that z(m) = 0.
-1, 0, 1
Suppose 6*l = l + 15. Suppose o = l*c + 2*c - 17, 0 = -5*o - 10. Find s such that 2/3*s**5 - 2/3*s + 8/3*s**c + 7/3*s**4 - 1/3 + 2/3*s**2 = 0.
-1, 1/2
Let d = 207/272 + -20687/1360. Let v = -66/5 - d. Suppose 3/4*n**2 + 0 - v*n**3 + 1/2*n = 0. Calculate n.
-2/5, 0, 1
Determine j so that -37 + 19 - 2*j**2 + 20 = 0.
-1, 1
Let u = -34 + 39. Suppose 2*l + 0*l = -u*a, 5*a + l - 5 = 0. Factor 1 + 4*i + 9/4*i**3 + 21/4*i**a.
(i + 1)*(3*i + 2)**2/4
Let b(g) be the first derivative of g**8/420 + g**7/210 - g**6/90 - g**5/30 - g**3/3 - 4. Let z(w) be the third derivative of b(w). Let z(p) = 0. What is p?
-1, 0, 1
Suppose -6 = -3*b + 36. Determine q, given that -b*q**2 + 17*q**2 + q - 4*q = 0.
0, 1
Suppose 0 = 5*m - 5*s + 29 + 36, 4*m = -4*s - 20. Let p be (-21)/m - (-5)/(-15). Factor 1/4 + d**3 + 3/2*d**p + d + 1/4*d**4.
(d + 1)**4/4
Let o = 25/69 - 2/69. Let a be (-12)/(-9) - 2 - -1. Find r, given that 1/3*r**3 + a*r**4 - 1/3*r + 0 - o*r**2 = 0.
-1, 0, 1
Let u(h) be the first derivative of 32*h**5/15 + 20*h**4/3 - 62*h**3/9 - 22*h**2/3 - 2*h + 16. Suppose u(q) = 0. Calculate q.
-3, -1/4, 1
Let z(n) be the third derivative of n**7/630 + n**6/120 + n**5/90 - 6*n**2. What is m in z(m) = 0?
-2, -1, 0
Let v(x) be the first derivative of 0*x - 1/2*x**2 + 1/8*x**4 - 2 - 1/6*x**3. Suppose v(j) = 0. Calculate j.
-1, 0, 2
Let f(y) be the third derivative of y**7/105 - y**6/30 + y**5/30 - 7*y**2. Factor f(k).
2*k**2*(k - 1)**2
Let q(y) = -y - 4*y**3 + 4*y**3 + y**3. Let o be q(-1). Determine v so that v**4 - 3*v**5 - 3*v + o*v - 2*v**2 + 0*v**5 + 6*v**3 + 1 = 0.
-1, 1/3, 1
Let c(h) be the third derivative of -h**5/510 + h**4/6 - 17*h**3/3 + 2*h**2 + 29*h. Solve c(p) = 0 for p.
17
Let b(y) be the first derivative of 1/3*y**3 - 2 - 2*y + 1/2*y**2. Determine t so that b(t) = 0.
-2, 1
Let d(x) be the first derivative of -4*x**3 + 15/2*x**2 - 6*x + 3/4*x**4 - 2. Factor d(g).
3*(g - 2)*(g - 1)**2
Factor -1/3 + 1/6*b**3 - 1/6*b**4 - 1/6*b + 1/2*b**2.
-(b - 2)*(b - 1)*(b + 1)**2/6
Let u(q) = q**2 + 2*q + 1. Let o(p) = 2*p**2 + 3*p + 1. Let c be 4/(-18) + (-60)/(-27). Let x(h) = c*o(h) - 3*u(h). Factor x(k).
(k - 1)*(k + 1)
Let a be (-44)/88*(1 + -1)*1. Factor a - 3/2*t - 3/4*t**3 - 9/4*t**2.
-3*t*(t + 1)*(t + 2)/4
Factor -8*d**2 + 7*d + 6*d - 11*d.
-2*d*(4*d - 1)
What is y in 8 + y**2 - 8 = 0?
0
Find k, given that -22/5*k**3 - 2/5*k**5 - 16/5 + 4/5*k**2 + 12/5*k**4 + 24/5*k = 0.
-1, 1, 2
Let y be 3 + 1 + (-4)/1. Suppose -2*p + 18 = 4*n, -5*n + 32 - 2 = 4*p. Factor k + y - 5/2*k**n.
-k*(5*k - 2)/2
Suppose 0 = 2*x + 2, -8*q - 2*x - 2 = -3*q. Factor 2/11*b**4 - 2/11*b**2 + 0 + q*b - 2/11*b**3 + 2/11*b**5.
2*b**2*(b - 1)*(b + 1)**2/11
Let b(w) be the first derivative of -3/2*w**6 - 12/5*w**5 - w**4 - 3 + 0*w**2 + 0*w + 0*w**3. Factor b(t).
-t**3*(3*t + 2)**2
Factor -2/3*x**2 + 22/3*x + 8.
-2*(x - 12)*(x + 1)/3
Let o = 11 + -9. Let j be o/(-1 + (-9)/(-4)). Factor 2/5*z**2 - 8/5*z + j.
2*(z - 2)**2/5
Let j(l) be the second derivative of l**7/840 - l**6/40 + 9*l**5/40 - l**4/6 - 7*l. Let b(z) be the third derivative of j(z). Factor b(n).
3*(n - 3)**2
Let c(a) = -14*a**3 - a**2. Let d be c(-1). Suppose -3*i = -x + 2*i + d, -2*i = 4. Solve -1/3*h**x + 0 + 0*h - 1/3*h**2 = 0 for h.
-1, 0
Let u(w) = 3*w**3 + 3*w - 12. Let j(c) = -3*c**3 - c**2 + 2*c - 4*c + 11 + 0*c**2. Let k(d) = 6*j(d) + 5*u(d). Factor k(p).
-3*(p - 1)*(p + 1)*(p + 2)
Let b(s) be the third derivative of 0*s**4 - 1/350*s**7 + 0*s - 2*s**2 + 1/50*s**6 - 1/25*s**5 + 0 + 0*s**3. Find t such that b(t) = 0.
0, 2
Let g(i) be the second derivative of 1/78*i**4 + 1/13*i**2 - 2/39*i**3 + 0 + 3*i. Solve g(f) = 0.
1
Let o = 0 - -16. Suppose -2*q - o*q**5 - 2*q + 12*q**5 + 8*q**3 = 0. What is q?
-1, 0, 1
Let o(g) be the first derivative of -4*g**5/55 - 5*g**4/22 - 4*g**3/33 + 4. Suppose o(r) = 0. What is r?
-2, -1/2, 0
Let b(x) be the second derivative of 0 + 1/4*x**4 - 6*x + 3*x**2 - 3/2*x**3. Determine k, given that b(k) = 0.
1, 2
Let h(g) be the first derivative of 0*g**2 + 3 + 1/22*g**4 + 0*g**3 + 0*g - 1/33*g**6 + 0*g**5. Factor h(x).
-2*x**3*(x - 1)*(x + 1)/11
Suppose -2*j + 0 = -6. Find w, given that 2*w