0*b - 6/7*b**4 - 2/7*b**2 - 2/7*b**z + 0 - 6/7*b**3.
-2*b**2*(b + 1)**3/7
Let w(i) be the first derivative of 0*i - 2/25*i**5 + 3/10*i**4 - 2/5*i**3 - 3 + 1/5*i**2. Factor w(r).
-2*r*(r - 1)**3/5
Let y be 0/((-1 - 0)*-2). Suppose y*p - 2*p + 2*m - 4 = 0, 5*m - 14 = 3*p. Factor 3*s + 1 - 3*s**p - 1 + s**3 - 1.
(s - 1)**3
Let y(q) = 5*q**3 - 19*q**2 + 47*q - 29. Let t(n) = -753*n + 27*n**2 + 276*n**2 + 12 - 38*n**3 - 43*n**3 + 453. Let o(v) = -2*t(v) - 33*y(v). Factor o(u).
-3*(u - 3)**2*(u - 1)
Factor 5*d**2 + 0*d**5 + 15*d**4 + 3007*d**3 - 3022*d**3 - 5*d**5.
-5*d**2*(d - 1)**3
Let o(p) be the first derivative of -p**3/18 - 5*p**2/6 - 25*p/6 + 10. Factor o(s).
-(s + 5)**2/6
Suppose -3*c - 4 = -4*c - 4*u, 0 = 2*c + 3*u - 8. Factor -10/9*w**3 + 0 - 8/9*w**c - 2/9*w**2 + 0*w.
-2*w**2*(w + 1)*(4*w + 1)/9
Factor -60*m + 37*m**2 - 101*m**2 + 31*m**2 + 12.
-3*(m + 2)*(11*m - 2)
Let j be (-2)/6 + 144704/(-57). Let b = -12581/5 - j. Suppose -b*z**2 + 3/5*z**5 - 24/5*z**4 + 15*z**3 - 24/5 + 84/5*z = 0. What is z?
1, 2
Suppose -3 = -4*c - h - 0, -3*c - 3*h = 9. Suppose -42*o**3 + 42*o**3 + c*o**5 - 4*o**2 - 2*o + 4*o**4 = 0. Calculate o.
-1, 0, 1
Let j(b) = -12*b**3 - 6*b - 18. Let r(h) = h**3 - h**2 - h + 1. Let k(v) = 2*j(v) + 20*r(v). What is t in k(t) = 0?
-2, -1
Let w(p) = -p**3 + 4*p**2 - 5*p - 2. Let b(i) = 1. Let o(a) = 4*b(a) + w(a). Solve o(g) = 0 for g.
1, 2
Let b(q) be the third derivative of 1/4*q**3 + 0*q + 0 + 3/40*q**5 + 3/16*q**4 + 1/80*q**6 + 3*q**2. Factor b(a).
3*(a + 1)**3/2
Let n be 10/(-4)*458/(-20). Let p = -57 + n. Determine o, given that 0 - 1/4*o + 3/4*o**4 + p*o**3 - 3/4*o**2 = 0.
-1, -1/3, 0, 1
Suppose -11 = -2*o - 3. Let b(k) be the third derivative of 0 + 1/420*k**6 + 1/105*k**5 + 1/84*k**o + 2*k**2 + 0*k + 0*k**3. Factor b(f).
2*f*(f + 1)**2/7
Factor -1 - m - 5/4*m**4 + 7/4*m**5 + 29/4*m**2 - 23/4*m**3.
(m - 1)**3*(m + 2)*(7*m + 2)/4
Suppose j - 4 + 1 = 0. Let y be (0 + 3)*j/9. What is v in -v**2 - y + v - 3*v + 0*v**2 = 0?
-1
What is n in 52 + 10*n**2 + 3*n**5 + 35*n - 37 - 30*n**3 - 25*n**4 - 8*n**5 = 0?
-3, -1, 1
Suppose 0 = -4*i + 3*n + 25, 0 = -i - n + 1. Factor -3*b + i*b**4 + 3*b + 2*b**3 + b**4.
b**3*(5*b + 2)
Let r(o) = 3*o + 2. Let y be r(-2). Let g be y/((-64)/(-12)) + 1. Factor -1/4*a**5 + g + 3/4*a - 3/4*a**4 + 1/2*a**2 - 1/2*a**3.
-(a - 1)*(a + 1)**4/4
Let w(l) be the first derivative of l**3/18 - 11*l**2/6 + 121*l/6 - 34. Solve w(j) = 0 for j.
11
Let w = 1/31 + 55/217. Factor 2/7*r**4 + 4/7*r**3 + 0 + w*r**2 + 0*r.
2*r**2*(r + 1)**2/7
Let o = 2 - 2. Let y(r) be the third derivative of -1/18*r**3 + 0 + 1/630*r**7 + 1/36*r**4 - 2*r**2 + o*r - 1/180*r**6 + 0*r**5. Factor y(f).
(f - 1)**3*(f + 1)/3
Let o(b) = -5*b**2 + 137*b - 115. Let z(c) = -c**2 + 23*c - 19. Let d(t) = -6*o(t) + 34*z(t). Factor d(w).
-4*(w - 1)*(w + 11)
Suppose 2 = 2*w - 6. Suppose -2*g = -2*n - 8, 6 = 5*g + w*n + 4. Factor 0*s + 0*s**3 + 0*s**2 - g*s**2 - 2*s + 2 + 2*s**3.
2*(s - 1)**2*(s + 1)
Let c(q) be the second derivative of 0 + 2*q**2 - 2*q**3 - 4*q + 1/4*q**4 + 1/4*q**5. Determine j so that c(j) = 0.
-2, 2/5, 1
Let f(t) be the second derivative of -t**6/30 + 3*t**5/40 - t**4/24 + t. Factor f(g).
-g**2*(g - 1)*(2*g - 1)/2
Let -3/8*k**2 - 24 + 6*k = 0. Calculate k.
8
Factor 18/11*i**3 + 0 + 4/11*i - 14/11*i**2 - 10/11*i**4 + 2/11*i**5.
2*i*(i - 2)*(i - 1)**3/11
Find l such that 7*l - 11*l**2 - 2*l**4 - 9*l**3 + 4 - 7*l = 0.
-2, -1, 1/2
Let u(w) be the first derivative of w**3/21 + w**2/7 - 1. Find r, given that u(r) = 0.
-2, 0
Suppose 3*a + 0*a = 15. Factor 3*x**5 - 3*x**5 - 2*x**4 - x + 2*x**2 + x**a.
x*(x - 1)**3*(x + 1)
Determine x, given that 7*x**2 - 12 - 34*x + 4*x + 20 = 0.
2/7, 4
Solve 4*f**4 + 8*f**3 + 5*f**5 - 3*f**2 + 11*f**4 + 8*f**2 + 7*f**3 = 0.
-1, 0
Let w(p) be the first derivative of -p**4/30 - p**3/15 - 3*p - 3. Let r(k) be the first derivative of w(k). Factor r(s).
-2*s*(s + 1)/5
What is w in 0 - 8/9*w**2 + 0*w - 2/9*w**3 = 0?
-4, 0
Let g(r) be the third derivative of -r**5/150 - r**4/15 - r**3/5 - 9*r**2. Factor g(f).
-2*(f + 1)*(f + 3)/5
Let m be 37/13 + (-4)/(-26). Factor -2*o**4 - m*o**3 - 18*o**2 - 14*o - o**3 - 6*o**3 + 0 - 4.
-2*(o + 1)**3*(o + 2)
Suppose 5*i = i + 68. Let q = i - 14. Factor -6/7*g**2 - 2/7*g**4 + 6/7*g**q + 2/7*g + 0.
-2*g*(g - 1)**3/7
Let n(d) be the first derivative of d**6/18 - d**5/5 + d**4/6 + 2*d**3/9 - d**2/2 + d/3 - 18. Factor n(c).
(c - 1)**4*(c + 1)/3
Let g(h) = 2*h + 28. Suppose -3*b = 3*t + 48, 0*t + 4 = -t + 3*b. Let d be g(t). What is o in 0 + 0*o**d + 3/4*o**3 - 3/4*o = 0?
-1, 0, 1
Let r = -1909439/540 + 3536. Let s(k) be the third derivative of 0*k - r*k**6 + 1/270*k**5 + 0*k**3 + 2*k**2 + 0*k**4 + 0. Let s(q) = 0. Calculate q.
0, 1
Let w be 7 - (-5 - 46/(-4)). Find j such that -1/2 - w*j**2 + j = 0.
1
Let j = -2 - -6. Let l = -2 + j. Determine a, given that 0 + 2/7*a**l + 2/7*a = 0.
-1, 0
Let k(m) be the second derivative of -2*m**2 + 7/3*m**4 + 4/5*m**5 + 3*m + 4/3*m**3 + 0. Find g, given that k(g) = 0.
-1, 1/4
Suppose 3*x + 4*i = 28, 5*x = 6*x + i - 8. Suppose 2*u = 4*u - x. Factor 2*m + 2*m - 5*m - u + m**2.
(m - 2)*(m + 1)
Let p(v) = -v**3 - 2*v**2 + 20*v + 25. Let c be p(-5). Solve 0 + c*g + 3/2*g**4 + 0*g**2 - 3/2*g**3 = 0 for g.
0, 1
Suppose -h = 7*h - 16. Suppose 0 + 2/3*x + 0*x**h - 2/3*x**3 = 0. What is x?
-1, 0, 1
Let p be -1 + 0 + 3 - 0. Suppose 3 + 3 + 7*s**2 + 3*s - 10*s**p = 0. What is s?
-1, 2
Suppose 0*p - 6 = -2*p. Let 0*g**3 + 2*g**4 - 2*g**p + 0*g**4 = 0. Calculate g.
0, 1
Find o such that 0 + 1/6*o + 1/6*o**2 = 0.
-1, 0
Let n(u) = -u**3 + 5*u**2 - 5*u + 7. Let p be 1/(-3) + 10/3. Let h(t) = -p*t**3 - 13 + 5*t**3 + 9*t - 5*t**2 - 4*t**2. Let o(m) = 6*h(m) + 11*n(m). Factor o(w).
(w - 1)*(w + 1)**2
Let g(u) = 2*u**2 + 2*u + 2. Let d be g(0). Factor 0*s - 2/5*s**d + 2/5*s**3 + 0.
2*s**2*(s - 1)/5
Let o be (-3 + (-2)/8)*-4. Let y = o - 8. Determine a, given that 2*a + y*a + 0*a - 5*a + 2*a**2 = 0.
-1, 0
Let w be (-6)/(-9)*45/6. Let m**2 - m**4 + 5*m - w*m + 0*m = 0. Calculate m.
-1, 0, 1
Let a(i) = -2*i**2 - 2*i. Let l(d) = -2*d**2 - 2*d. Let z(f) = 3*a(f) - 2*l(f). What is r in z(r) = 0?
-1, 0
Suppose -m + 48 = 5*h + 3, -35 = -h + 5*m. Suppose -3*b + h = 2*b. Factor -i**3 + 0*i**b + i - 1/2*i**4 + 1/2.
-(i - 1)*(i + 1)**3/2
Let -1/2*b**2 - 1/2*b + 0 = 0. What is b?
-1, 0
Let j(a) be the first derivative of -a**4/4 + a**3 - 3*a**2/2 + a - 2. Factor j(y).
-(y - 1)**3
Let n = 2952 + -619919/210. Let v(t) be the third derivative of 2*t**2 - n*t**6 + 0*t + 0*t**5 + 0 + 1/42*t**4 + 1/21*t**3 - 1/735*t**7. Factor v(i).
-2*(i - 1)*(i + 1)**3/7
Suppose 0 = -2*z - 2*z. Let u(r) be the third derivative of 0*r**4 + 1/1344*r**8 + z + 1/160*r**6 + 1/240*r**5 - r**2 + 0*r + 0*r**3 + 1/280*r**7. Factor u(t).
t**2*(t + 1)**3/4
Determine s, given that 2*s**3 - 316*s**2 + s**4 + 317*s**2 + 0*s**4 = 0.
-1, 0
Let o(y) be the first derivative of -3*y**3 - y - y**2 - 2 + 2*y**3 + 2*y**3. Factor o(j).
(j - 1)*(3*j + 1)
Let f(x) be the second derivative of -2*x**5/5 - x**4/3 - 9*x. Factor f(s).
-4*s**2*(2*s + 1)
Determine l so that 0 - 3/4*l + 1/8*l**2 = 0.
0, 6
Let h = -75 + 77. Factor 0 + 1/4*x + 1/4*x**h.
x*(x + 1)/4
Let g = 234187/7 + -33305. Let x = -150 + g. Let 0 - 2/7*r**3 - x*r**2 + 4/7*r = 0. What is r?
-2, 0, 1
Let g(d) = 25*d**2 + 8*d - 8. Let l(k) = 6*k**2 + 2*k - 2. Let v(y) = 4*g(y) - 18*l(y). Factor v(u).
-4*(u + 1)*(2*u - 1)
Factor 28*f - 26 + 20 + 104 + 0*f**2 + 2*f**2.
2*(f + 7)**2
Let c(p) be the third derivative of -2*p**5/15 - 3*p**4/4 - 2*p**3/3 - 6*p**2. Suppose c(y) = 0. What is y?
-2, -1/4
Let p(r) be the second derivative of -r**7/84 + r**6/30 - r**4/12 + r**3/12 + 7*r. Solve p(i) = 0 for i.
-1, 0, 1
Let n = -1/1040 + 125/208. Suppose -3/5*x**2 - 6/5*x - n = 0. What is x?
-1
Let x be 3/(-1)*60/(-1170). Determine l so that 2/13*l**4 + 0 + x*l**3 + 0*l + 0*l**2 = 0.
-1, 0
Let p(o) = o**3 + 11*o**2 - 5*o - 10. Let v be p(-11). Let b be 1 - (v/10)/9. Determine w, given that -1/4*w + 1/4*w**2 - b = 0.
-1, 2
Let v(i) be the third derivative of 0 - 1/120*i**6 - 4*i**2 + 1/15*i**5 + 0*i - 5/24*i**4 + 1/3*i**3. Find o such that v(o) = 0.
1, 2
Let x(b) be the second derivative of b**6/18 - 7*b**5/60 - b**4/12 + 7*b**3/18 - b**2/3 + 7*b. Find u, given that x(u) =