 - 1)**2*(r + 1)**3/4
Let j = 7 + -4. Factor x**3 - 4*x + 3*x**2 + x**j + 2*x - 4 + x**2.
2*(x - 1)*(x + 1)*(x + 2)
Suppose -p + 0 = -2. Suppose -p*b + 3 = -5. Factor -2 - r**2 - 6*r - b*r**2 - 2*r**3 - r**2.
-2*(r + 1)**3
Let p be 48/99 + 4/22. Let x(j) be the first derivative of p*j**4 + 1 - 2/3*j**3 + 2/3*j - 2/3*j**2 + 8/15*j**5. Factor x(c).
2*(c + 1)**2*(2*c - 1)**2/3
Let b(r) = -2*r**3 + 5*r**2 - 3. Let p(x) = 2*x**3 - 4*x**2 + 2. Let q(v) = 2*b(v) + 3*p(v). Solve q(c) = 0.
0, 1
Let w(u) = 7*u**4 - 3*u**3 - 9*u**2 + 8*u - 3. Let n(c) = 20*c**4 - 8*c**3 - 28*c**2 + 24*c - 8. Let v(l) = -3*n(l) + 8*w(l). Factor v(t).
-4*t*(t - 1)**2*(t + 2)
Let o(v) be the third derivative of v**8/168 - v**7/105 - v**6/12 + v**5/30 + 2*v**4/3 + 4*v**3/3 + 5*v**2. Factor o(i).
2*(i - 2)**2*(i + 1)**3
Let j(m) = m**3 + 5*m**2 - 7. Let u be j(-5). Let o be 4/(-14) + (-23)/u. Find z, given that -2*z**3 + 3*z + 3 - 2 + 2*z**2 - 3*z**4 + 0*z**o - z**5 = 0.
-1, 1
Let g be 3 - ((-2)/2 + 1). Factor 1/2 + 1/4*w - 7/4*w**4 + 19/4*w**g - 15/4*w**2.
-(w - 1)**3*(7*w + 2)/4
Let w(g) be the second derivative of g**5/80 + g**4/24 - g**3/8 + 56*g. Find n, given that w(n) = 0.
-3, 0, 1
Solve -1 + 5*c**2 - c**3 + 4*c**2 + 4*c**3 - 11 = 0.
-2, 1
Let h be 2 - (3 - 1 - 2). Find r such that -r**2 - 7*r**4 + 4*r**4 + 4*r**h = 0.
-1, 0, 1
Let d(u) be the first derivative of -u**5/5 - 3*u**4/2 - 13*u**3/3 - 6*u**2 - 4*u + 43. Find v, given that d(v) = 0.
-2, -1
Let u(b) be the first derivative of -b**4/16 + b**3/12 - 39. Factor u(y).
-y**2*(y - 1)/4
Let m(s) be the second derivative of 2*s**6/75 + s**5/25 - s**4/15 - 2*s**3/15 + 23*s. Determine c so that m(c) = 0.
-1, 0, 1
Let g(w) = 2*w**2 + 4*w + 2. Suppose 5*x = 3*k + 40, -4*x - k + 36 = -13. Let c(p) = -5*p**2 - x + 4*p**2 - p + 11. Let q(v) = 10*c(v) + g(v). Factor q(y).
-2*(y + 1)*(4*y - 1)
Factor 54*d**2 + 3*d**4 + 27 + 84*d + 36*d**3 + 66*d**2 - 30*d**2.
3*(d + 1)**3*(d + 9)
Suppose 4*q - 4 = 4*t, 15 = -q - 3*t + 36. Let d = q + -4. Let -2*o**2 + 0*o - 2 - 6*o + d*o = 0. Calculate o.
-1
Let j(u) = -3*u - 19. Let s be j(-7). Factor -1/2*w - 1/2*w**4 - 1 + 3/2*w**s + 1/2*w**3.
-(w - 2)*(w - 1)*(w + 1)**2/2
Let v = 10 - 6. Let a(c) = c**3 + 7*c**2 - 8*c + 3. Let r be a(-8). Suppose -10*y**r + 4*y**2 - 5*y + y + v*y = 0. Calculate y.
0, 2/5
Let -8/3 + 2/3*a**2 + 2/3*a**3 - 8/3*a = 0. Calculate a.
-2, -1, 2
Let k(v) = v + 2. Let m be k(0). Let w(s) be the first derivative of 1/16*s**4 - 1/4*s**3 + 3/8*s**m + 1 - 1/4*s. Factor w(r).
(r - 1)**3/4
Let v(r) be the first derivative of -1/3*r + 1/6*r**2 - 5 - 1/12*r**4 + 1/9*r**3. Factor v(h).
-(h - 1)**2*(h + 1)/3
Let s(t) be the third derivative of -t**7/315 - t**6/180 + t**5/30 + 5*t**4/36 + 2*t**3/9 + 8*t**2. Factor s(p).
-2*(p - 2)*(p + 1)**3/3
Let y(p) = p**4 + 4*p**3 - p**2 - 4*p. Let u = -3 - 1. Let r(x) = -2*x**4 - 5*x**3 + 2*x**2 + 5*x. Let o(a) = u*r(a) - 5*y(a). Factor o(b).
3*b**2*(b - 1)*(b + 1)
Let p(t) be the second derivative of t + t**2 + 1/3*t**3 - 1/6*t**4 - 1/10*t**5 + 0. Factor p(m).
-2*(m - 1)*(m + 1)**2
Determine k so that -2*k**4 + 7*k**4 - 15*k**3 + 100*k - 80*k = 0.
-1, 0, 2
Suppose 4*f - 5*t = 32 + 3, 3*t = 3. Let m be (f/6 + -2)*0. Factor 1/3*u**4 + 0 - 1/3*u**2 + 0*u**3 + m*u.
u**2*(u - 1)*(u + 1)/3
Let i(x) be the first derivative of x**3/9 - x**2/6 - 2*x/3 - 3. Factor i(r).
(r - 2)*(r + 1)/3
Let r = -98/5 + 99/5. Factor 0 - 1/5*s**5 + 0*s**2 + 0*s**4 - r*s + 2/5*s**3.
-s*(s - 1)**2*(s + 1)**2/5
Let w(i) be the third derivative of -i**7/1260 - i**6/360 + i**4/72 + i**3/36 - 12*i**2. Factor w(u).
-(u - 1)*(u + 1)**3/6
Let b be ((-512)/(-20))/(-8) + 4. Find x such that -b + 2/5*x + 2/5*x**2 = 0.
-2, 1
Let p(f) be the third derivative of f**5/360 - 7*f**4/144 + f**2 + 29*f. Factor p(b).
b*(b - 7)/6
Let s = -67 - -72. Factor -2/5*z + 0*z**2 + 0 + 4/5*z**3 - 2/5*z**s + 0*z**4.
-2*z*(z - 1)**2*(z + 1)**2/5
Factor -2*d**2 + d + 19 - 17 - d**3 + 0*d**2.
-(d - 1)*(d + 1)*(d + 2)
Let m be (-15)/(-18) - (2/6 + 0). Let n be (-3)/(-15) + (-3)/(-10). Factor 3/2*w**2 + n*w**3 + 3/2*w + m.
(w + 1)**3/2
Solve 12 + w**2 + 0*w**2 - 2*w**2 - 11 = 0 for w.
-1, 1
Let v(u) be the second derivative of -u**4/30 + 4*u**2/5 - 15*u. Suppose v(n) = 0. What is n?
-2, 2
Suppose -8 = -c + 2*l - l, 2*l - 5 = -5*c. Let 3*p - 3*p**c + 4*p - 4*p = 0. What is p?
-1, 0, 1
Let y(k) = 11*k**2 - 6*k + 13. Let u be 12 - -1 - (0 - 0). Let b(v) = -5*v**2 + 3*v - 6. Let g(h) = u*b(h) + 6*y(h). Factor g(j).
j*(j + 3)
Let c(o) = -6 - o**4 + 1 - 3*o**2 + 4*o**4 - 9*o**3 + o**2. Let d(g) = -2*g**4 + 8*g**3 + 2*g**2 + 4. Let u(v) = -4*c(v) - 5*d(v). Solve u(a) = 0 for a.
-1, 0
Suppose -5*s - 15 = c, c + 12 = -3*c - 4*s. Factor 4 + 6*f + c*f**2 + 6*f**2 - 4*f**2.
2*(f + 1)*(f + 2)
Let m(o) be the third derivative of -o**6/660 - 2*o**5/165 - o**4/33 + 16*o**2. Suppose m(z) = 0. What is z?
-2, 0
Let d(l) be the first derivative of 2*l**6/21 - 4*l**5/35 - l**4/7 + 4*l**3/21 + 24. Factor d(b).
4*b**2*(b - 1)**2*(b + 1)/7
Let o(a) = a**2 - 3*a + 2. Let h be o(2). Suppose h*d - d + 5 = 0. Let -2*u**d + 1 - 1 - 2*u**4 = 0. Calculate u.
-1, 0
Let w(h) be the second derivative of -h**5/14 - 4*h**4/21 + 19*h**3/21 - 6*h**2/7 - 72*h. Let w(q) = 0. What is q?
-3, 2/5, 1
Factor 2/3*i + 0 - 1/3*i**2.
-i*(i - 2)/3
Find b such that -2/7*b**2 + 0*b + 1/7*b**3 + 1/7*b**4 + 0 = 0.
-2, 0, 1
Let s(i) be the second derivative of 1/42*i**4 + 0 + i - 2/21*i**3 + 0*i**2. Factor s(u).
2*u*(u - 2)/7
Suppose -3*m = 3*m - 36. Let s(q) be the second derivative of 0*q**4 + 0*q**m + 3*q + 1/21*q**7 - 1/10*q**5 + 0*q**3 + 0 + 0*q**2. Factor s(c).
2*c**3*(c - 1)*(c + 1)
Suppose 0 = 3*r - 4 - 5. What is s in -6*s**r + 16*s**3 + 28*s**2 - 10*s - 1 - 24*s**4 - 3 = 0?
-1, -1/4, 2/3, 1
Let y(r) be the second derivative of 16*r**7/273 - 56*r**6/195 - 207*r**5/130 - 94*r**4/39 - 59*r**3/39 - 6*r**2/13 - 27*r - 1. Suppose y(i) = 0. What is i?
-1, -1/4, 6
Suppose 0*l = 5*l - 20. Suppose l*m - s = 2*s + 14, -5*s = -2*m + 14. Factor -2 - 2*r**m - r + 4*r + r.
-2*(r - 1)**2
Let b(x) = -5*x**2 + 5. Let q(i) = 14*i**2 - 14. Let p(k) = 11*b(k) + 4*q(k). Determine d so that p(d) = 0.
-1, 1
Let t(y) be the second derivative of -y**6/90 + y**5/10 - 13*y**4/36 + 2*y**3/3 - 2*y**2/3 + 5*y. Determine w so that t(w) = 0.
1, 2
Let d(p) = -p**2 - 5*p - 2. Let a be d(-5). Let w be 1/(-5 - -2)*a. Factor 0 + 2/3*y**2 - w*y**3 + 4/3*y.
-2*y*(y - 2)*(y + 1)/3
Factor 1/7*l + 3/7*l**4 + 1/7*l**2 - 5/7*l**3 + 0.
l*(l - 1)**2*(3*l + 1)/7
Solve -1/6*v**3 + 0*v**2 + 0 + 1/6*v = 0 for v.
-1, 0, 1
Let p be (5 - 100/8)*(-2)/3. Factor 1/2 + 4*o**3 - 7/2*o**4 + o**p - o**2 - o.
(o - 1)**4*(2*o + 1)/2
Let n(f) = -21*f**2 + 315*f + 3. Let s be n(15). Factor 0*v - 3/2*v**5 - s*v**3 + 0*v**2 + 0 + 9/2*v**4.
-3*v**3*(v - 2)*(v - 1)/2
Let f(b) be the first derivative of -b**6/3 + 8*b**5/5 - 2*b**4 - 4*b**3/3 + 5*b**2 - 4*b - 2. Solve f(p) = 0.
-1, 1, 2
Let h(z) = -z**5 - z**4 + z**3 + z**2 - z + 1. Let q(d) = 7*d**5 + 7*d**4 - 9*d**3 - 9*d**2 + 7*d - 3. Let x(i) = 5*h(i) + q(i). Solve x(y) = 0 for y.
-1, 1
Let o(d) be the second derivative of -1/15*d**6 - 1/3*d**3 - 1/21*d**7 + 0 + 1/3*d**4 + 1/5*d**5 - d**2 - 2*d. Factor o(x).
-2*(x - 1)**2*(x + 1)**3
Suppose -2*h + 8 = -0. Solve -4*j**5 + j**5 + j**h - 7*j**4 - 9*j**3 - 3*j**4 - 3*j**2 = 0 for j.
-1, 0
Suppose 0 = -4*w - 3*n + 3, 5*w - w = -5*n - 3. Let j = -1 + w. Determine t, given that 1 - 4*t**5 + t**j - t**3 - 2 - 3*t + 8*t**3 = 0.
-1, -1/2, 1
Let r(v) = -3*v**2 - 18*v + 23. Let y be r(-7). Factor -3/5*p + 1/5*p**y + 2/5.
(p - 2)*(p - 1)/5
Let z(a) be the third derivative of -a**6/120 - a**4/24 + a**3/2 + 5*a**2. Let b be z(0). Determine i so that 0 + 1/4*i**b + 0*i - 1/2*i**2 = 0.
0, 2
Let a = -13 - -15. Let i be (24/90)/(a/10). Determine b, given that -2/9*b**5 - i*b**3 + 0 - 2/9*b - 8/9*b**4 - 8/9*b**2 = 0.
-1, 0
Let s = 8 - 6. Let p(f) be the first derivative of -4/15*f**3 + 2/5*f - 1/15*f**6 + 1/5*f**4 + 2/25*f**5 - 1/5*f**s - 2. Suppose p(y) = 0. Calculate y.
-1, 1
Let n(v) be the first derivative of v**4/9 - 2*v**2/3 - 8*v/9 + 21. Factor n(a).
4*(a - 2)*(a + 1)**2/9
Let l(b) be the first derivative of 1/4*b + 3/16*b**4 + 5/8*b**2 - 2 + 7/12*b**3. Factor l(d).
(d + 1)**2*(3*d + 1)/4
Let z(u) be the second derivati