 3/2*i - 3/4*i**4 - i**3 - 3 + 1/4*i**6 + 3/10*i**5 + 3/4*i**2. Factor s(h).
3*(h - 1)**2*(h + 1)**3/2
Let p(m) = 2*m + 1. Let j be p(1). Factor -z - 4*z**3 - 10*z + 16*z**2 - j*z**3 + 2.
-(z - 1)**2*(7*z - 2)
Let v(l) = -37*l**3 + 49*l**2 - 7*l. Let w = 4 - 1. Let y(z) = 0 - 3 - 93*z**3 + 123*z**2 + w - 18*z. Let a(c) = -12*v(c) + 5*y(c). Factor a(f).
-3*f*(f - 1)*(7*f - 2)
Let v(k) be the first derivative of -k**5/30 - k**4/12 + 2*k**3/3 + 2*k**2 + 4. Let j(z) be the second derivative of v(z). Factor j(i).
-2*(i - 1)*(i + 2)
Let m = 147/5 - 28. Let b = 5/18 - -29/90. Find f, given that -b*f**2 + 2/5*f + 0 - m*f**4 - 12/5*f**3 = 0.
-1, 0, 2/7
Let k be ((-59)/9 + 1)*31. Let p = -172 - k. What is g in 2/9*g**3 + 2/3*g + 2/3*g**2 + p = 0?
-1
Let k = 2 + -2. Suppose -5*q + 18 - 3 = k. Suppose 1/4 - 1/4*n**4 + 1/2*n**q - 1/2*n + 0*n**2 = 0. What is n?
-1, 1
Suppose 5*m + 0 = 10. Factor -5*o + 2*o**m + 2*o + o.
2*o*(o - 1)
Let f = 113/22 - 216/11. Let k = f - -15. What is p in 1/4*p**4 + 0*p + 1/4*p**2 + k*p**3 + 0 = 0?
-1, 0
Let t = 3 - 0. Factor -t*c**4 + c**4 - 2*c**3 + 15 - 15.
-2*c**3*(c + 1)
Let c = 10 - 1. Let b = c + -6. Determine w so that 3*w**3 - 4*w**2 - 2*w**b + 5*w**2 = 0.
-1, 0
Let i(v) be the third derivative of v**7/1260 + 7*v**6/1080 + v**5/90 + v**4/24 - v**2. Let x(h) be the second derivative of i(h). Factor x(o).
2*(o + 2)*(3*o + 1)/3
Suppose -2 - 24*p**2 - 21*p**2 - 18*p**2 + 65*p**2 = 0. Calculate p.
-1, 1
Let l be -1 + 6/15*10. Let t(k) be the second derivative of l*k - 1/12*k**4 + 0 + 1/4*k**5 - 1/6*k**3 + 0*k**2 - 1/10*k**6. Factor t(d).
-d*(d - 1)**2*(3*d + 1)
Let q(n) be the second derivative of 0*n**2 + 1/6*n**4 + 1/3*n**3 + n + 0. Factor q(j).
2*j*(j + 1)
Let j be 4/6 - (-476)/(-21). Let q = j + 68/3. Factor 0 - 1/3*f**3 - q*f**2 - 1/3*f.
-f*(f + 1)**2/3
Factor 5*l**2 + 2*l**2 - 5*l**2 + 3*l**2.
5*l**2
Let b(r) be the third derivative of 9*r**8/448 - 3*r**7/280 - r**6/32 - r**5/80 - 3*r**2. Determine j, given that b(j) = 0.
-1/3, 0, 1
Determine k so that 9 + 4*k**2 - 2*k**2 + 6*k**3 + 3*k**4 - 14*k**2 - 6*k = 0.
-3, -1, 1
Let w(q) be the first derivative of -4*q**5/5 + 4*q**4 - 20*q**3/3 + 4*q**2 - 7. Suppose w(h) = 0. Calculate h.
0, 1, 2
Let q(i) be the third derivative of -1/60*i**5 + 0*i**3 - 1/24*i**4 - i**2 + 0*i + 0. Solve q(s) = 0.
-1, 0
Let b(f) be the first derivative of -f**7/84 - f**6/30 - f**5/120 + f**4/24 + 3*f**2/2 + 1. Let s(a) be the second derivative of b(a). Factor s(q).
-q*(q + 1)**2*(5*q - 2)/2
Let -2/11*i**4 + 0*i**2 - 4/11*i**3 + 0*i + 0 + 2/11*i**5 = 0. What is i?
-1, 0, 2
Find h, given that -2/5*h**2 + 0*h + 2/5 = 0.
-1, 1
Let c be (-27)/(-135) - (-626)/70. Determine o so that 0 + 12/7*o**3 + 2/7*o - 64/7*o**5 + c*o**4 - 2*o**2 = 0.
-1/2, 0, 1/4, 1
Let p(j) = -8*j - 261. Let b be p(-33). Factor 0 + 7/2*x**4 - 17/2*x**2 - 8*x**b + 3*x.
x*(x - 3)*(x + 1)*(7*x - 2)/2
Let v = 525/122 + 12/61. Solve 0 - m**2 - v*m**3 - 7/2*m**4 + 0*m = 0.
-1, -2/7, 0
Let g(l) be the second derivative of -l**4/8 + l**3 - 9*l**2/4 - 16*l. Determine z so that g(z) = 0.
1, 3
Let p(h) be the third derivative of 0 + 0*h + 2/105*h**5 - 1/140*h**6 + 9*h**2 + 0*h**3 + 1/21*h**4. Factor p(l).
-2*l*(l - 2)*(3*l + 2)/7
Let w(f) be the first derivative of 10/3*f**3 + 2*f**2 + 0*f + 2/5*f**5 + 2*f**4 + 3. Let w(n) = 0. Calculate n.
-2, -1, 0
Suppose -3*c + 0*k = 2*k + 1, -5*c - 4*k - 3 = 0. Factor -1/4*b**2 - b - c.
-(b + 2)**2/4
Let h = -1/153 + 19/306. Let y(t) be the second derivative of 7/45*t**6 + 2*t + h*t**4 + 1/21*t**7 + 0*t**3 + 0*t**2 + 1/6*t**5 + 0. Factor y(u).
2*u**2*(u + 1)**2*(3*u + 1)/3
Let 138*b - 27*b**2 + 6*b**3 + 9*b**4 + 12 - 138*b = 0. Calculate b.
-2, -2/3, 1
Let o = 53 - 38. Let q = 20 - o. What is x in -3/4*x + 1/2*x**2 + 1/2*x**3 - 3/4*x**4 + 1/4 + 1/4*x**q = 0?
-1, 1
Let p(n) be the second derivative of n**7/3780 - n**5/180 + n**4/12 + 5*n. Let x(w) be the third derivative of p(w). Factor x(k).
2*(k - 1)*(k + 1)/3
Let q be (3 - 10/4)*6. Suppose 4*x**q - x**5 - 2*x**2 - 4*x - 2*x**3 - x**5 + 2*x**4 + 4*x**3 = 0. What is x?
-1, 0, 1, 2
Let w(l) be the third derivative of -l**8/504 - 4*l**7/945 + l**6/540 + l**5/135 - 22*l**2. Suppose w(h) = 0. Calculate h.
-1, 0, 2/3
Let z(j) be the second derivative of -j**4/10 + j**3/3 + 2*j**2/5 + 6*j. Let z(s) = 0. What is s?
-1/3, 2
Suppose 0 = 3*l + 2*p + 2 + 4, 2*p + 6 = 2*l. Let b(w) = -3*w**2 + 23*w - 12. Let r be b(7). Factor l + 2/3*o**3 - 2/3*o + 0*o**r.
2*o*(o - 1)*(o + 1)/3
Let d(z) be the second derivative of -z**7/14 + 3*z**6/10 - 3*z**5/20 - 3*z**4/4 + z**3 + 9*z. Let d(b) = 0. What is b?
-1, 0, 1, 2
Suppose 4*b - 2 - 6 = 0. Factor 2*y**3 + y**3 - 5*y**3 - 2*y**b + 4*y**2.
-2*y**2*(y - 1)
Let v be 45/35 - (-4)/(-14). Let a be 4*v*(-15)/(-270). Solve -a*w**2 + 2/9*w**4 + 0*w**3 + 0 + 0*w = 0 for w.
-1, 0, 1
Let i(s) be the first derivative of 3*s**4/16 + s**3 + 15*s**2/8 + 3*s/2 + 7. Factor i(h).
3*(h + 1)**2*(h + 2)/4
Factor -1/4 - 1/4*d**2 - 1/2*d.
-(d + 1)**2/4
Suppose -1 = 2*t - 5. Let d be (4/(-36))/(t/(-12)). Suppose 2/3*c**4 + 0*c**2 + 4/3*c**3 - 4/3*c - d = 0. Calculate c.
-1, 1
Let l = -3 + 6. Suppose -5*h - l = 2, -2*z = 3*h - 5. Determine f so that -5/2*f**3 + 2*f**5 + 1/2*f + 0 + 3/2*f**2 - 3/2*f**z = 0.
-1, -1/4, 0, 1
Let i(u) be the first derivative of -u**3/4 + 3*u**2/4 - 3*u/4 + 5. Solve i(h) = 0 for h.
1
Let s be (1/(-5) - -1)*5. Factor 2 - 3 - a**2 - 3*a**3 - a**s + 3*a + 3.
-(a - 1)*(a + 1)**2*(a + 2)
Let a = -17 - -17. Let r(v) be the third derivative of 0*v + a + 0*v**3 - 1/150*v**5 - 1/120*v**4 - 1/600*v**6 - 2*v**2. Determine m so that r(m) = 0.
-1, 0
Let 49*o - 34*o - 25*o**2 - 53*o**3 + 10 - 24*o**3 - 10*o**5 - 45*o**4 + 12*o**3 = 0. Calculate o.
-2, -1, 1/2
Let p(k) be the first derivative of -2*k**5/25 - 2*k**4/5 + 2*k**3/3 - 1. Solve p(z) = 0.
-5, 0, 1
Let d(v) be the first derivative of 32*v**6/3 - 32*v**5/5 - 15*v**4 + 32*v**3/3 - 2*v**2 - 20. Suppose d(j) = 0. Calculate j.
-1, 0, 1/4, 1
Let n(f) be the third derivative of f**7/1680 + f**6/240 - f**4/12 - f**3/2 + 3*f**2. Let y(r) be the first derivative of n(r). Factor y(a).
(a - 1)*(a + 2)**2/2
Suppose 14 = 4*k - 34. Suppose 3*j - k = -3*a, -4*a + j = 2 + 2. Factor 0*x + a - 1/3*x**3 + 0*x**2.
-x**3/3
What is p in -5*p**2 + 4*p**3 - 4 + 0 - 2*p**5 - 5*p + 4*p**4 - 11*p**2 + 19*p = 0?
-2, 1
Suppose 0 = z + 3*z + 5*n, 0 = -z + 4*n. Let t be (-4 + 3)*(-2 - z). Let i**4 + 1/3*i**5 + 1/3*i**t + 0 + 0*i + i**3 = 0. Calculate i.
-1, 0
Let q(f) = f**3 + 5*f**2 - 7*f - 6. Let b be q(-6). Let o be -3 - (9/(-3) - 2). Factor b + 0*l - 2/5*l**o.
-2*l**2/5
Suppose 3*o**4 - 40*o**2 - 12*o**4 + 5*o**4 + 44*o**3 = 0. Calculate o.
0, 1, 10
Let d be (5/1 - 3)*1. Suppose -d*b**2 + 4*b**2 + 3 + 10 + 12*b + 5 = 0. What is b?
-3
Let k(i) = -i**4 - i**2 + i + 1. Let u(o) = -13*o**4 + 15*o**3 - 25*o**2 + 12*o + 11. Let v(w) = -18*k(w) + 2*u(w). Let v(s) = 0. What is s?
-1/4, 1, 2
Let g(s) be the third derivative of s**5/180 - s**4/9 + 8*s**3/9 + 17*s**2. Factor g(v).
(v - 4)**2/3
Determine a, given that 11 + 10*a - 25*a**2 - 18 + 7 = 0.
0, 2/5
Let p(l) = 2*l - 6*l + 2*l. Let o be p(-1). Factor -k**3 + 0*k - k**3 + o*k.
-2*k*(k - 1)*(k + 1)
Solve -3*d**4 - 337*d**3 + 337*d**3 + 6*d**2 - 3 = 0 for d.
-1, 1
Let n be -6*(3 - (-7)/(-2)). Suppose n*c = -0 + 9. Solve -4*d**3 + 2*d**4 - 3*d**4 + 4*d**4 + 7*d**3 - c*d**5 - 3*d**2 = 0 for d.
-1, 0, 1
Let c(k) be the first derivative of -k**6/3 + 12*k**5/5 - 9*k**4/2 - 8. Solve c(j) = 0.
0, 3
Let s(j) be the third derivative of -j**7/1680 - j**6/320 - j**5/240 + 14*j**2. Solve s(h) = 0.
-2, -1, 0
Let s = 5696 - 85396/15. Let q = s - 13/5. Factor 1/3*u**3 + 0*u**2 + 0 - q*u.
u*(u - 1)*(u + 1)/3
Factor 54/11*a**3 + 0 + 12/11*a - 6*a**2.
6*a*(a - 1)*(9*a - 2)/11
Determine w so that -3/4*w - 1/4*w**3 + 0 + w**2 = 0.
0, 1, 3
Let u(s) be the first derivative of -5*s**3/3 - 11*s**2/2 - 9*s + 2. Let q(m) = -14*m**2 - 32*m - 26. Let g(h) = 3*q(h) - 8*u(h). Factor g(z).
-2*(z + 1)*(z + 3)
Factor 4/7*f**2 + 20/7*f**3 + 12/7*f**4 + 0 - 4/7*f.
4*f*(f + 1)**2*(3*f - 1)/7
Let y = 7 - 12. Let i(m) = 1. Let p(b) = 2*b**2 - 2*b + 5. Suppose q - 1 = -2*a + 2, -4 = -5*q + a. Let f(j) = q*p(j) + y*i(j). Factor f(c).
2*c*(c - 1)
Let l(y) be the first derivative of y**4/8 - 5*