*h - 69*h**3 + 0 + 240*h**2 = 0.
-2/3, 0, 8
Suppose 2*b = -5*l - 1, -5*b - 2 + 7 = 5*l. Let x(f) be the second derivative of 0*f**b + 1/10*f**5 - 2/3*f**3 - 5*f - 1/6*f**4 + 0. Factor x(t).
2*t*(t - 2)*(t + 1)
Let -1/8 - 2*z**2 - z = 0. What is z?
-1/4
Factor d**4 - 3*d**2 - 5*d**2 - 2*d**4 + 6*d**2 - 3*d**3.
-d**2*(d + 1)*(d + 2)
Let u(p) be the second derivative of -1/42*p**7 + 1/30*p**6 + 3*p + 0*p**2 + 0 + 1/20*p**5 + 0*p**3 - 1/12*p**4. Let u(f) = 0. What is f?
-1, 0, 1
Let n(q) be the first derivative of -4/5*q + 1/3*q**3 + 3 - 4/5*q**2. Factor n(t).
(t - 2)*(5*t + 2)/5
Let k(w) = -14*w - 1. Let g be k(1). Let j be (30/12)/(g/(-9)). Factor -3/2*n**3 - j - 9/2*n - 9/2*n**2.
-3*(n + 1)**3/2
Let o(d) be the second derivative of d**6/45 - 2*d**5/15 + d**4/6 + 4*d**3/9 - 4*d**2/3 + 5*d. Suppose o(i) = 0. What is i?
-1, 1, 2
Let i(v) be the third derivative of v**10/302400 - v**8/40320 - v**5/20 + v**2. Let g(l) be the third derivative of i(l). Solve g(n) = 0.
-1, 0, 1
Let c(t) be the second derivative of 1/4*t**2 + 1/48*t**4 - 6*t - 1/8*t**3 + 0. Solve c(r) = 0.
1, 2
Let 15*n - 3*n - 2*n**4 - 4*n**2 - 10*n + 6*n**3 - 2*n**2 = 0. Calculate n.
0, 1
Let q = -2943/4 + 732. Let p = q - -87/20. Factor 0*r - p + 3/5*r**2.
3*(r - 1)*(r + 1)/5
Suppose 8*a - 2*a - 24 = 0. Let 8*y**4 - 7*y**5 + a + 8*y**3 - 4*y - 4*y**4 + 3*y**5 - 8*y**2 = 0. Calculate y.
-1, 1
Let m = -15 - -21. Let j(k) be the third derivative of -1/60*k**5 - 1/240*k**m - 2*k**2 - 1/48*k**4 + 0*k + 0*k**3 + 0. Factor j(y).
-y*(y + 1)**2/2
Let q(g) be the first derivative of -10/21*g**3 + 1/14*g**4 - 3 + 8/7*g**2 - 8/7*g. Factor q(t).
2*(t - 2)**2*(t - 1)/7
Suppose 4*i = -25 + 37. Suppose -4*a = 4*p + a - 5, -5*a = -4*p - 5. Determine t, given that p*t**2 + 9/4*t - 3/4*t**i + 3/2 = 0.
-1, 2
Let k(p) be the second derivative of -p**5/90 - p**4/9 - 4*p**3/9 - 2*p**2 - 3*p. Let i(v) be the first derivative of k(v). Find w such that i(w) = 0.
-2
Determine t, given that -153 + 153 - 15*t + 5*t**2 = 0.
0, 3
Factor 3*s**2 + 8 - 8.
3*s**2
Let l(s) be the first derivative of -5*s**6/6 - 7*s**5/5 + 13*s**4/4 + 31*s**3/3 + 10*s**2 + 4*s - 3. Factor l(h).
-(h - 2)*(h + 1)**3*(5*h + 2)
Let i(b) be the first derivative of -9*b**5/2 - 145*b**4/8 - 55*b**3/2 - 75*b**2/4 - 5*b - 35. Let i(u) = 0. Calculate u.
-1, -2/9
Let l(f) = -5*f**3 + 15*f**3 + 4*f**2 + 0*f - 18 + 8*f**2 - 8*f. Let a(y) = -y**4 + 40*y**3 + 48*y**2 - 32*y - 73. Let z(k) = 2*a(k) - 9*l(k). Factor z(q).
-2*(q - 1)*(q + 2)**3
Let y(h) be the third derivative of h**8/26880 - h**7/10080 - h**6/2880 + h**5/480 - h**4/24 - 5*h**2. Let t(o) be the second derivative of y(o). Factor t(i).
(i - 1)**2*(i + 1)/4
Let f = -681 + 30649/45. Let z = f + 2/15. Factor -4/9*t**3 + 0*t**2 - z*t**4 + 4/9*t + 2/9.
-2*(t - 1)*(t + 1)**3/9
Suppose -4*v + 2 + 21 = -i, 6 = -2*i. Suppose -49 = -4*t - s, -2*s + 18 = 5*t - 44. What is m in 6*m**5 - v*m - 2*m + t*m**3 + 16*m**4 + 5*m = 0?
-1, 0, 1/3
Let c be -6 + 244/40 - 2/(-5). Let v(d) be the first derivative of 0*d**5 + 4 + 0*d - c*d**6 + 0*d**3 + 0*d**2 + 0*d**4. Let v(j) = 0. Calculate j.
0
Let n = -7/40 - -3/8. Let u(h) be the first derivative of 2/15*h**3 - 2 + 0*h + n*h**2. Find z, given that u(z) = 0.
-1, 0
Suppose -32 + 29 = -m. Let u(d) be the third derivative of 0*d + 1/10*d**5 + 0*d**m + 1/40*d**6 - 1/35*d**7 + d**2 - 1/8*d**4 + 0. Find b such that u(b) = 0.
-1, 0, 1/2, 1
Let 4/5*w**2 + 6/5*w**3 + 0*w + 0 = 0. Calculate w.
-2/3, 0
Factor -18/5*w - 36/5*w**2 - 6*w**3 - 3/5 - 9/5*w**4.
-3*(w + 1)**3*(3*w + 1)/5
Let m be (-3)/((-9)/6) + 0. Suppose 0 = m*a - 4*a - 4*f - 16, -4*a - 2*f = 2. Let 2*z**2 + a*z**2 - z**3 - 3*z**2 = 0. Calculate z.
0, 1
Let y(n) be the second derivative of -n**8/10080 + n**7/1260 - n**6/360 + n**5/180 + n**4/3 + 4*n. Let j(u) be the third derivative of y(u). Factor j(s).
-2*(s - 1)**3/3
Factor -41/3*h**2 - 25/3 + 4/3*h**3 + 110/3*h.
(h - 5)**2*(4*h - 1)/3
Let n(r) = -3*r**3 - 3*r**2 - 2*r + 2. Let s(c) = -c**3 - c**2 - c + 1. Let a(z) = -n(z) + 2*s(z). Factor a(m).
m**2*(m + 1)
Let v(n) be the third derivative of n**6/60 + n**5/30 - n**4/6 - 5*n**2. Let v(p) = 0. What is p?
-2, 0, 1
Let q(k) be the second derivative of k**6/45 - k**5/30 - k**4/9 - 18*k. Let q(j) = 0. Calculate j.
-1, 0, 2
Suppose -2 = 3*k + 2*t - 0, 0 = 3*k - 3*t - 3. Let c = -5/401 - -416/1203. Factor 0 + k*r - 1/2*r**4 + 0*r**2 + c*r**3.
-r**3*(3*r - 2)/6
Let f = 4 - -7. Let r = 15 - f. Let k**3 + 2*k**4 - k + 3*k**2 - r*k**2 - k**4 = 0. What is k?
-1, 0, 1
Let h be 3/(-6)*2 + 4. Let j(i) be the first derivative of 0*i**h + 0*i + 0*i**2 - 1/14*i**4 - 2. Factor j(r).
-2*r**3/7
Let h(f) be the third derivative of -f**7/420 - f**6/120 + f**5/120 + f**4/24 + 21*f**2. Suppose h(n) = 0. Calculate n.
-2, -1, 0, 1
Let n = -38 + 38. Let l(r) be the second derivative of r - 1/48*r**4 + n*r**2 + 1/24*r**3 + 0. Find o such that l(o) = 0.
0, 1
Let k(c) = -9*c**3 - 9*c**2 - 24*c + 9. Let o(x) = x**3 + x**2 + 3*x - 1. Let w(j) = 4*k(j) + 33*o(j). Solve w(y) = 0 for y.
-1, 1
Let j(d) be the third derivative of d**5/120 + d**4/12 - d**3 - 38*d**2. Factor j(g).
(g - 2)*(g + 6)/2
Let n(p) = p**3 - 10*p**2 - 11*p + 2. Let k be n(11). Factor -4*v**k + 24*v**2 + 16*v**2 - 2 - 17*v + 4.
(4*v - 1)*(9*v - 2)
Let l(w) = 2*w**4 + 7*w**3 - 5*w**2 - w - 3. Let g(t) = 2*t**4 + 6*t**3 - 4*t**2 - 2*t - 2. Let o(x) = -3*g(x) + 2*l(x). Factor o(n).
-2*n*(n - 1)*(n + 1)*(n + 2)
Let w(p) be the first derivative of 0*p**2 + 0*p + 1/14*p**4 - 1/21*p**6 + 2/21*p**3 + 1 - 2/35*p**5. Factor w(k).
-2*k**2*(k - 1)*(k + 1)**2/7
Let q(f) be the first derivative of -5*f**7/42 + f**6/6 - f**5/15 + 2*f**2 + 3. Let l(d) be the second derivative of q(d). Factor l(a).
-a**2*(5*a - 2)**2
Let r(p) be the third derivative of -p**10/7560 + p**8/1680 - p**4/6 - 7*p**2. Let i(o) be the second derivative of r(o). Let i(v) = 0. Calculate v.
-1, 0, 1
Let r be (45/54)/(10/6). Factor -1/2*w**4 + 1/2*w**2 + 0 + 1/2*w - r*w**3.
-w*(w - 1)*(w + 1)**2/2
Let j(x) = -21*x**2 - 4*x + 1. Let q(w) = -7*w**2 - w. Let p(k) = 3*j(k) - 8*q(k). Factor p(y).
-(y + 1)*(7*y - 3)
Suppose 3 = -c + 5. Suppose 0*y**c - 2/5*y**3 + 0*y + 0 = 0. What is y?
0
Let f(y) be the third derivative of -y**8/84 + 2*y**7/35 - y**6/10 + y**5/15 + 22*y**2. Solve f(g) = 0.
0, 1
Determine x so that 22*x + 2*x + 18*x**3 + 100*x**4 - 116*x**2 - 30*x**5 - 36*x**5 + 24*x**5 + 16 = 0.
-1, -2/7, 2/3, 1, 2
Let o(f) = -6*f**2 - 12*f + 5. Let j(t) = -2*t**2 - 4*t + 2. Let l(c) = -11*j(c) + 4*o(c). Factor l(w).
-2*(w + 1)**2
Let w be 7*(2 - (-24)/(-21)). Suppose -w*j = -j. Find m, given that 0 + 0*m**4 + j*m + 0*m**2 - 2/5*m**5 + 2/5*m**3 = 0.
-1, 0, 1
Let c be 2 - 11/(44/(-24)). Determine n, given that n**2 - n**3 - 15 - n**4 + n - c + 23 = 0.
-1, 0, 1
Factor 135*s**2 - s - 269*s**2 - 6 + 135*s**2.
(s - 3)*(s + 2)
Factor 1/4*t**2 + 0 + 1/4*t**3 - 1/4*t - 1/4*t**4.
-t*(t - 1)**2*(t + 1)/4
Let f = -222 - -2669/12. Let c(u) be the first derivative of 0*u - f*u**3 + 7/16*u**4 - 1/4*u**2 + 1. Solve c(p) = 0 for p.
-2/7, 0, 1
Let w(i) be the second derivative of i**9/37800 - i**8/8400 + i**7/6300 - 5*i**4/12 + i. Let d(v) be the third derivative of w(v). Factor d(k).
2*k**2*(k - 1)**2/5
Suppose 30 + 17*p**3 - 192*p**2 - 13*p**4 - 9*p + 69*p**2 - 2*p**4 - 116*p**3 = 0. What is p?
-5, -1, 2/5
Let t(f) be the first derivative of -f**6/2 - 9*f**5/5 - 3*f**4/2 + 2*f**3 + 9*f**2/2 + 3*f - 15. Factor t(a).
-3*(a - 1)*(a + 1)**4
Let f(y) be the first derivative of 0*y**3 - 1/24*y**4 + 0*y**5 + 1/2*y**2 + 1/120*y**6 - 2 + 0*y. Let k(t) be the second derivative of f(t). Factor k(s).
s*(s - 1)*(s + 1)
What is r in -4/7*r**2 + 0*r**3 + 0*r + 2/7*r**4 + 2/7 = 0?
-1, 1
Let y be (-4113)/(-4620) + (-3)/4. Let u = y - -8/55. Let 2/7 + 4/7*k + u*k**2 = 0. What is k?
-1
Let x(l) be the third derivative of l**5/160 - l**4/16 + l**3/4 - 16*l**2. Factor x(t).
3*(t - 2)**2/8
Let k(f) be the first derivative of 14/39*f**3 - 2 - 4/13*f + 5/13*f**2. Factor k(o).
2*(o + 1)*(7*o - 2)/13
Factor -5*q**3 + q**3 + 6*q**2 + 6*q**2 - 8*q.
-4*q*(q - 2)*(q - 1)
Let a(x) = 24*x - 6*x**3 + 4*x**2 + 9*x**3 + 21*x**3 + 11 + x**4 + 27*x**2. Let b(u) = 12*u**3 + 15*u**2 + 12*u + 6. Let q(d) = -3*a(d) + 5*b(d). Factor q(z).
-3*(z + 1)**4
Let q(g) = g**4 + g*