o + 2)/7
Let s be (-3 + -1)/(1 - 2). Suppose -15 = -3*u - 5*x, x = s*x - 9. Find c such that u + 0*c + 1/3*c**2 - 1/3*c**3 = 0.
0, 1
Let q be ((-24)/(-9))/(10/15). Let i(m) be the first derivative of 0*m**3 + 0*m**5 + 0*m + 0*m**2 + 1 + 1/8*m**q - 1/12*m**6. Suppose i(w) = 0. Calculate w.
-1, 0, 1
Let a(o) be the second derivative of -o**7/280 + o**6/90 - o**5/90 - o**3/3 + 3*o. Let c(i) be the second derivative of a(i). Factor c(v).
-v*(3*v - 2)**2/3
Let o(i) be the third derivative of -2*i**7/105 + i**6/30 + i**5/15 - i**4/6 - i**2. Factor o(k).
-4*k*(k - 1)**2*(k + 1)
Suppose 10*k = 3*k. Suppose -48*j + 43*j + 10 = k. Solve 0 - 2/3*b**4 - 2/9*b**5 - 2/9*b**3 + 4/9*b + 2/3*b**j = 0.
-2, -1, 0, 1
Solve 1/2*q**3 + 1/3*q**2 - 1/2*q + 0 - 1/3*q**4 = 0 for q.
-1, 0, 1, 3/2
Let y(n) = n**3 - 7*n**2 + 4*n - 2. Let b(x) = x**3 - 6*x**2 + 3*x - 2. Let a(l) = 7*b(l) - 6*y(l). Find u, given that a(u) = 0.
-1, 2
Let n = 1 + 1. Find q, given that q**3 + 2*q**5 + 2*q**4 + 0*q**2 - 3*q**3 - n*q**2 = 0.
-1, 0, 1
Let h(v) be the first derivative of -3*v**4/4 + v**3 + 15*v**2/2 + 9*v - 29. Solve h(i) = 0.
-1, 3
Let y(t) be the first derivative of 0*t - 1/3*t**3 + 1/8*t**4 - 1 + 0*t**2. Let y(c) = 0. What is c?
0, 2
Factor 0 + 18/5*p + 2/5*p**2.
2*p*(p + 9)/5
Suppose 0*o = o - 7. Suppose o = -5*l + 17. Factor 8*k + l + 7/2*k**2.
(k + 2)*(7*k + 2)/2
Let p be 6/(-21) + 16/7. Suppose 4*g + 5*h - 25 - 15 = 0, -2*g - 4*h + 26 = 0. Solve 4*r**4 - g*r**3 - p*r**5 + 5*r**3 + 0*r**4 - 2*r**3 = 0 for r.
0, 1
Let a(t) be the first derivative of -t**5/20 + t**4/16 + t**3/12 - t**2/8 - 1. Solve a(b) = 0.
-1, 0, 1
Let c(q) be the second derivative of -q**5/20 + q**4/3 - q**3/3 - q**2/2 - 2*q. Let r be c(3). Factor 0 - 1/3*p + 1/3*p**r.
p*(p - 1)/3
Let l = 5113/24 + -213. Let k = 3/8 - l. Factor -2/3*b**2 - k + b.
-(b - 1)*(2*b - 1)/3
Let s(l) be the second derivative of 5*l**4/12 - 25*l**3/3 + 45*l**2/2 - l + 6. Let s(j) = 0. Calculate j.
1, 9
Let k(h) be the second derivative of -h**6/30 - h**5/10 + h**4/12 + h**3/3 - 15*h. Solve k(q) = 0 for q.
-2, -1, 0, 1
Let t = -133 - -401/3. Let f(s) be the first derivative of -3/4*s**4 + 0*s - 1 - 2/3*s**3 + t*s**6 + 4/5*s**5 + 1/2*s**2. Suppose f(y) = 0. Calculate y.
-1, 0, 1/2
Let u(p) = -17*p**4 - 4*p**3 + 12*p**2 + 20*p + 8. Let l(r) = 8*r**4 + 2*r**3 - 6*r**2 - 10*r - 4. Let g(s) = 13*l(s) + 6*u(s). Factor g(d).
2*(d - 2)*(d + 1)**3
Let i(n) be the third derivative of n**7/840 + n**6/120 - n**4/6 + 5*n**2. Let y(f) be the second derivative of i(f). Factor y(a).
3*a*(a + 2)
Suppose 4 = -4*z + 12. Let -13*g + 0*g**2 + 18 + g + 2*g**z = 0. Calculate g.
3
Let q(n) = -n**2 - 9*n - 5. Let p be q(-8). Let a(y) be the second derivative of -1/6*y**p + 0 - 1/20*y**5 - 1/6*y**4 + 0*y**2 + 2*y. Factor a(u).
-u*(u + 1)**2
Let i = 8 - 6. Factor 0*h**3 + 2*h**4 - i*h**3 + 2*h + 5*h**2 - 2*h**2 - 5*h**2.
2*h*(h - 1)**2*(h + 1)
Let b be (5/((-25)/2))/(49/(-70)). Factor b*l + 2/7 + 2/7*l**2.
2*(l + 1)**2/7
Let y = -1307/3 + 367. Let w = -68 - y. Solve 2*c**4 + 0*c - 2*c**3 + 0 - w*c**5 + 2/3*c**2 = 0.
0, 1
Let u(d) be the second derivative of d**3/6 - 5*d**2 - 4*d. Let p be u(10). What is b in p - 1/5*b**2 + 2/5*b = 0?
0, 2
Let w be (-36)/(-48) - (-1)/(-2). Find b, given that w + 1/2*b + 1/4*b**2 = 0.
-1
Let l = -3 + 5. Let z be l/(-6) - (-21)/9. What is m in 5*m**4 - 3*m**3 + z*m + m**3 - 2*m**2 - 3*m**4 = 0?
-1, 0, 1
Let x be (-4 + 53/13)/((-3)/(-6)). Find t such that -x*t**4 - 4/13 + 14/13*t + 10/13*t**3 - 18/13*t**2 = 0.
1, 2
Find l such that 48/17*l**4 + 18/17*l - 52/17*l**2 + 8/17*l**3 - 26/17*l**5 + 4/17 = 0.
-1, -2/13, 1
Find i, given that -2*i + 3*i - 4*i**3 + 3*i**3 = 0.
-1, 0, 1
Let v be (10*32/(-360))/((-2)/3). Let 2/3*j**2 + v*j + 2/3 = 0. Calculate j.
-1
Suppose 2*c + 6/5*c**2 - 2*c**3 - 8/5 + 2/5*c**4 = 0. Calculate c.
-1, 1, 4
Let g = -41 - -44. Let x(j) be the first derivative of 0*j + 3 - 1/8*j**4 + 1/2*j**g - 1/2*j**2. Find a such that x(a) = 0.
0, 1, 2
Let s(f) = -4*f**3 - 6*f**2 + 2*f + 4. Let k(i) = i**3 + i**2. Let p(g) = -4*k(g) - 2*s(g). Solve p(j) = 0.
-2, -1, 1
Suppose -3*p + 4 - 1 = 0. Suppose -2 - p = -v. Factor 2*k**2 - v*k - 2 + 8*k - 5*k.
2*(k - 1)*(k + 1)
Let i(w) be the first derivative of -w**8/336 + w**7/105 - w**6/120 - 3*w**2/2 - 3. Let n(j) be the second derivative of i(j). Factor n(p).
-p**3*(p - 1)**2
Let v be 0/(1 - (-2 + 0)). Find g such that -4*g**3 + 3*g**4 + v - 11/3*g**2 - 2/3*g = 0.
-1/3, 0, 2
Suppose -10 = -3*g - 1. Factor -4*y**2 - y**g - y**3 - 4 - 2*y**2 + 2*y**4 + 10*y.
2*(y - 1)**3*(y + 2)
Let c = 15/71 + -829/4260. Let v(k) be the third derivative of 1/840*k**8 + k**2 + 0*k**5 + 0*k**7 + 0*k**3 + 0 + c*k**4 + 0*k - 1/150*k**6. Factor v(j).
2*j*(j - 1)**2*(j + 1)**2/5
Let t = 104 - 101. Find y such that -5/4*y**2 - 1/4*y**t - 1 - 2*y = 0.
-2, -1
Let z(i) be the first derivative of -2/3*i - 2/3*i**5 - 1 + 5/3*i**2 + 1/9*i**6 + 5/3*i**4 - 20/9*i**3. Factor z(y).
2*(y - 1)**5/3
Let n(p) = -3*p**2 - 7. Let d(a) = -2*a**2 - 5. Let g(z) = 7*d(z) - 5*n(z). Factor g(o).
o**2
Let l(p) be the second derivative of -p**7/168 - p. Find q such that l(q) = 0.
0
Let c = 26 - 16. Let n = c + -6. What is h in -5/4*h + 1/2 - h**n + 1/2*h**2 + h**3 + 1/4*h**5 = 0?
-1, 1, 2
Let p(w) be the second derivative of w**5/80 - w**4/24 + w**3/24 + 20*w. Factor p(l).
l*(l - 1)**2/4
Let g(m) be the third derivative of -3*m**6/200 - m**5/100 + m**4/24 - m**3/30 - 14*m**2. Factor g(x).
-(x + 1)*(3*x - 1)**2/5
Let j(v) be the third derivative of -v**7/70 + 3*v**5/20 + v**4/4 - 11*v**2. Factor j(p).
-3*p*(p - 2)*(p + 1)**2
Let p(v) be the first derivative of -2*v**3/15 + 4*v**2/5 - 8*v/5 - 3. Factor p(j).
-2*(j - 2)**2/5
Let p = -374 - -1497/4. Find u such that -1/4*u**2 + p*u + 1/2 = 0.
-1, 2
Let h(z) be the third derivative of z**5/15 - z**4/3 + 2*z**3/3 + 17*z**2. Suppose h(g) = 0. Calculate g.
1
Let w(y) be the third derivative of -y**8/1176 - 2*y**7/735 + y**5/105 + y**4/84 + 6*y**2. Solve w(n) = 0.
-1, 0, 1
Let k(a) be the second derivative of -a**4/6 - 9*a. Factor k(c).
-2*c**2
Let b = 661/1494 + 1/498. Factor 2/9*o + b - 2/9*o**2.
-2*(o - 2)*(o + 1)/9
Let q be (-2)/((-7)/(84/8)). Factor -v**2 - 4*v**q + v**4 - 3*v + 4 + 7*v**3 - 2*v**4 - 2.
-(v - 2)*(v - 1)**2*(v + 1)
Suppose -2*m = -0*m - 48. Suppose m = 4*b + 4. Factor b*g**5 - 2*g - 4*g**3 + 4*g - 3*g**5.
2*g*(g - 1)**2*(g + 1)**2
Suppose -3*w + 4 = 2*a, 5*a - w - 18 = 9. Let z(b) be the second derivative of 0 + 1/40*b**a + b - 1/24*b**4 - 1/12*b**3 + 1/4*b**2. Factor z(p).
(p - 1)**2*(p + 1)/2
Let x be (4*-1)/(5/(-10)). Suppose x*r = r. Factor 1/4*n**2 + r + 1/2*n.
n*(n + 2)/4
Solve -4/11*n**2 + 2/11*n**4 + 2/11 + 0*n + 0*n**3 = 0.
-1, 1
Let i(n) = 2*n - 5. Let r be i(10). Let d be r/(-5) - 14/(-4). Let d + 1/4*w**3 - 1/2*w**2 - 1/4*w = 0. Calculate w.
-1, 1, 2
Let m = 7606/3 + -2512. Factor 28/3*k - 25/3*k**4 - 4/3 + m*k**3 - 23*k**2.
-(k - 1)**2*(5*k - 2)**2/3
Factor -2*w**2 - 16 - 4*w**3 + 2*w**2 - w**2 + 13*w**2.
-4*(w - 2)**2*(w + 1)
Let a(k) = 45*k**2 - 33*k - 11. Let v = -6 + 0. Let p(j) = -6*j - 5*j + 26 + 15*j**2 - 30 + 0*j. Let q(t) = v*a(t) + 17*p(t). What is r in q(r) = 0?
1/3, 2/5
Let d(m) be the third derivative of -m**5/12 - 5*m**4/24 + 5*m**3/3 - 14*m**2. Find p, given that d(p) = 0.
-2, 1
Suppose c - 5*d = -37, 5*c + 8 + 135 = 4*d. Let i be ((-3)/(c/(-60)))/(-6). Let -i*b**2 - 4/9 + 14/9*b = 0. Calculate b.
2/5, 1
Let p(j) = -8*j**2 + 7*j - 4. Let l(s) = s**2 + s - 1. Let x(y) = -5*l(y) - p(y). Factor x(g).
3*(g - 3)*(g - 1)
Let q be 2 + (-1 - (0 + 1)). Let t be 0/(q + -1 + 2). Find f such that 2/7*f**2 + 2/7*f**4 + 0*f + t + 4/7*f**3 = 0.
-1, 0
Let t(y) be the second derivative of y**4/28 + 9*y**3/14 + 3*y**2 - 9*y. Solve t(m) = 0.
-7, -2
Let l(x) be the first derivative of 1 - 4*x**2 - 2/25*x**5 - 12/5*x**3 - 7/10*x**4 - 16/5*x. Let l(v) = 0. What is v?
-2, -1
Suppose 0*r - r + 2 = 0. Let f(z) be the first derivative of 1 + 1/6*z**3 + 1/2*z - 1/2*z**r. Let f(h) = 0. What is h?
1
Suppose 3*u**2 + 5 - 3 - 2 = 0. What is u?
0
Let t(j) = 10*j**4 - 6*j**3 - 4*j**2 - 3*j - 3. Let l(c) = 10*c**4 - 6*c**3 - 4*c**2 - 4*c - 4. Let g(p) = -3*l(p) + 4*t(p). Factor g(a).
2*a**2*(a - 1)*(5*a + 2)
Let b(x) be the third derivative of -x**9/151200 + x**7/126