(j + 1)**4/5
Suppose 0 = -h + 3*h - 4. Let c be 2/3*(8 + -2). Factor -b - h*b**2 - b + 4*b**2 + c*b.
2*b*(b + 1)
Let f(k) be the third derivative of k**7/1400 - k**6/600 + 2*k**3/3 - k**2. Let r(d) be the first derivative of f(d). Factor r(x).
3*x**2*(x - 1)/5
Let f(g) = -30*g - 238. Let o be f(-8). Suppose 0 = q + 3*j - 8*j + 25, -2*q - 5*j = -25. Factor -6/7*c**o + q*c + 2/7 + 4/7*c**3.
2*(c - 1)**2*(2*c + 1)/7
Suppose 2*i + 2*i + 13 = -5*l, -3*i - 2*l - 15 = 0. Let q = 11 + i. Factor 8/9*d**q - 2/9*d - 22/9*d**3 - 2/9 + 2*d**2.
2*(d - 1)**3*(4*d + 1)/9
Let 8*c**2 + 1/2*c**4 - 4*c**3 + 0*c + 0 = 0. Calculate c.
0, 4
Let z(o) be the first derivative of -2*o**5/45 - o**4/18 + 2*o**3/27 + o**2/9 + 23. Factor z(u).
-2*u*(u - 1)*(u + 1)**2/9
Let m be 2/18*(-2)/(-4). Let q(d) be the first derivative of 1/6*d**2 + 4/15*d**5 - 2 + 4/9*d**3 + 0*d + m*d**6 + 1/2*d**4. Let q(n) = 0. Calculate n.
-1, 0
Let t(a) = -6*a**2 + 4*a + 7. Let n(r) = -5*r**2 + 3*r + 6. Let b(z) = -7*n(z) + 6*t(z). Factor b(x).
-x*(x - 3)
Let x(s) = -15*s**3 - 12*s**2 + 43*s - 19. Let k(h) = -16*h**3 - 12*h**2 + 42*h - 18. Let b(o) = -6*k(o) + 4*x(o). Factor b(y).
4*(y + 2)*(3*y - 2)**2
Let l(x) be the second derivative of x**6/30 + x**5/10 - x**4/4 - 2*x**3/3 + 2*x**2 + x - 23. Factor l(f).
(f - 1)**2*(f + 2)**2
Let o be ((-8 + 7)/(-4 + 1))/1. Determine n so that 1/3*n**5 + 0 + 0*n + 1/3*n**2 - 1/3*n**3 - o*n**4 = 0.
-1, 0, 1
Suppose -3*a = a + 48. Let t = -12 - a. Solve 1/2*j**2 + 0 + j**3 + t*j + 1/2*j**4 = 0.
-1, 0
Let m(z) be the first derivative of z**6/24 + z**5/10 + 45. Let m(a) = 0. Calculate a.
-2, 0
Let z be (-2)/18 - (-13)/90. Let d(q) be the third derivative of -q**2 + 0 + 0*q - 3/35*q**7 + 1/10*q**6 - z*q**5 + 0*q**3 + 0*q**4. What is c in d(c) = 0?
0, 1/3
Suppose 0 = -4*h - 2*n, 5*n = h + 4*n - 6. Factor 1/4*z**5 + 0*z**3 + 0 - 1/2*z**h - 1/4*z + 1/2*z**4.
z*(z - 1)*(z + 1)**3/4
Let q(b) be the first derivative of -6 + 1 + b**3 + 3. Factor q(o).
3*o**2
Suppose 0 = 4*t - 16 - 4. Let w(k) be the second derivative of 0*k**2 + 2*k + 0 + 1/4*k**4 - 1/6*k**3 - 1/10*k**t. Let w(r) = 0. Calculate r.
0, 1/2, 1
Let t(c) be the second derivative of -c**7/126 - c**6/18 - 3*c**5/20 - 7*c**4/36 - c**3/9 + 12*c. Factor t(s).
-s*(s + 1)**3*(s + 2)/3
Factor 4*s**2 + 8*s + 7 - 20 + 1.
4*(s - 1)*(s + 3)
Let x(b) = -50. Let m(n) = -n. Let c(o) = 2*m(o) - x(o). Let r be c(23). Determine d so that 2/3*d**2 + 6 + r*d = 0.
-3
Let n = 3/4 + -7/12. Let j(t) be the first derivative of -n*t**3 + 0*t - 1/8*t**2 + 1. Solve j(l) = 0 for l.
-1/2, 0
Let k(p) be the first derivative of -p**5/150 + p**3/15 + p**2 - 1. Let x(s) be the second derivative of k(s). Find v such that x(v) = 0.
-1, 1
Let f(u) be the first derivative of 2*u**6/3 - 8*u**5/5 - 3*u**4 + 16*u**3/3 + 8*u**2 - 4. Factor f(x).
4*x*(x - 2)**2*(x + 1)**2
Let p(w) be the third derivative of w**6/120 + w**5/60 - w**4/24 - w**3/6 + 5*w**2. Factor p(j).
(j - 1)*(j + 1)**2
Let f(r) = r**2. Let y(t) = 4*t**2 - 6*t. Let a(c) = 6*f(c) - y(c). Factor a(o).
2*o*(o + 3)
Let g(b) = 13*b - 101. Let r be g(8). Factor 8/7*a**2 - 6/7*a**4 + 0*a + 0 + 0*a**r - 2/7*a**5.
-2*a**2*(a - 1)*(a + 2)**2/7
Let g = -29 - -34. Let m(i) be the second derivative of -1/80*i**g + 0*i**3 + 0 - 2*i + 0*i**2 - 1/48*i**4. Determine n, given that m(n) = 0.
-1, 0
Let j(b) = b**2 + 3*b - 5. Let h be j(-5). Suppose 0*s**2 + 0 + 0*s**4 + 2/3*s**3 - 1/3*s**h - 1/3*s = 0. Calculate s.
-1, 0, 1
Let p(w) be the second derivative of 7*w**6/120 + 2*w**5/5 + w**4/2 - 2*w**3/3 + 3*w. Let u(s) be the second derivative of p(s). Factor u(t).
3*(t + 2)*(7*t + 2)
Let v = 23477/150 - 313/2. Let d(h) be the second derivative of -1/50*h**5 + 2*h + v*h**6 - 1/30*h**4 + 0*h**3 + 0 + 0*h**2 + 1/105*h**7. Factor d(k).
2*k**2*(k - 1)*(k + 1)**2/5
Let t(o) be the second derivative of -o**7/147 - o**6/105 + 3*o**5/35 + o**4/3 + 11*o**3/21 + 3*o**2/7 - 22*o. Factor t(b).
-2*(b - 3)*(b + 1)**4/7
Let q be (4/4)/((-21)/(-30)). Solve 8/7*y**4 + q*y - 24/7*y**2 + 4/7 + 2/7*y**3 = 0.
-2, -1/4, 1
Suppose i + 3*i = 16. Let 4*s + 8*s**2 + 2*s**i + 0 - s**4 + 1 - 2*s**2 + 4*s**3 = 0. Calculate s.
-1
Let g(k) be the third derivative of -2*k**2 + 0 + 0*k**3 + 0*k**4 - 1/240*k**6 + 1/120*k**5 + 0*k. Solve g(j) = 0.
0, 1
Let c(x) = x**4 - x**3 + x**2 - x. Let f(t) = 12*t**4 - 9*t**3 - 3*t. Let h(i) = -3*c(i) + f(i). Factor h(s).
3*s**2*(s - 1)*(3*s + 1)
Suppose -2*a + 16 - 6 = 0, h + 8 = 2*a. Let m(f) be the second derivative of 4*f - f**h + 0 + 2/3*f**3 - 1/6*f**4. Determine o, given that m(o) = 0.
1
Suppose 0 = 5*y + 5*v - 30, 0 = y - 2*v + 2 + 1. Solve 9*b**2 - 3*b**4 + 0*b**3 - b**3 - 2*b**3 + 1 + y*b - 7 = 0.
-2, -1, 1
Let u be 1/(-2) + 122/240. Let f(a) be the third derivative of -1/12*a**4 + 0*a - u*a**6 + 1/20*a**5 + a**2 + 0*a**3 + 0. Factor f(g).
-g*(g - 2)*(g - 1)
Let n(c) = 3*c**2 + 1. Let f be (21/14)/(2/(-4)). Let t(o) = -3*o**2. Let r be 4/(-6) - 10/3. Let y(u) = f*n(u) + r*t(u). Factor y(d).
3*(d - 1)*(d + 1)
Let h(k) be the second derivative of -k**4/4 - k**3 - 3*k**2/2 - 10*k. Determine g, given that h(g) = 0.
-1
Let g(r) be the first derivative of -9*r**5 + 15*r**4 + 25*r**3/3 - 30*r**2 + 20*r - 45. Solve g(a) = 0 for a.
-1, 2/3, 1
Let s be (-15)/(-35) + 6/(-14). Let k(w) be the second derivative of 0*w**3 + 1/100*w**5 + 0 - 4*w + s*w**2 + 1/60*w**4. Let k(g) = 0. Calculate g.
-1, 0
Let s(b) be the second derivative of -2/15*b**4 - 43/100*b**5 + 29/150*b**6 + 2/7*b**7 + 0 + 2/15*b**3 - 6*b + 0*b**2. Find n such that s(n) = 0.
-1, -2/5, 0, 1/4, 2/3
Suppose -9*y = -5*y - 16. Let p(a) be the first derivative of 3 - y*a**2 - 18/5*a**5 + 0*a + 3/2*a**4 + 16/3*a**3. Factor p(x).
-2*x*(x + 1)*(3*x - 2)**2
Let m(f) = 6*f - 2. Let z be m(1). Find t, given that 28 + z*t**2 - 4*t**2 + 3*t**2 - 31 = 0.
-1, 1
Let w(v) = v - 10. Let m be w(8). Let c be 2/20 - m/5. Factor -c*f + 0 + 1/2*f**3 + 1/2*f**2 - 1/2*f**4.
-f*(f - 1)**2*(f + 1)/2
Let t(p) = -12*p**5 + 48*p**4 - 58*p**3 + 8*p**2 + 14*p + 2. Let h(u) = u**5 - u**4 - u**3 + u - 1. Let k(z) = -2*h(z) - t(z). Solve k(o) = 0.
-2/5, 0, 1, 2
Let y(m) be the first derivative of m**3/12 + m**2/8 - 3*m - 49. Solve y(q) = 0.
-4, 3
Let n(g) be the second derivative of 0*g**4 + 0*g**3 + 0*g**6 + 1/70*g**5 + 0*g**2 + 0 + 2*g - 1/147*g**7. Let n(h) = 0. Calculate h.
-1, 0, 1
Suppose 0*s - 3*s = -48. Factor -n**4 - 13*n**3 + n - 3*n**2 + s*n**3 + 0*n**2.
-n*(n - 1)**3
Suppose 259*p = 266*p - 14. Solve 1/4*g**p + 0 + 1/2*g = 0 for g.
-2, 0
Let y(s) be the second derivative of -5*s**7/252 + s**6/36 + s**5/8 - 25*s**4/72 + 5*s**3/18 - 22*s. Solve y(p) = 0.
-2, 0, 1
What is l in -6 - 11*l**2 + 27*l - 7*l**2 - l**2 - 2*l**2 = 0?
2/7, 1
Suppose r + 2*m = -8, -4*r + m + 13 = -0*m. Let q be 2*(-4)/(3 - 7). Suppose -b**2 - 6*b + 3 - r*b**2 + b**q + 5*b**2 = 0. Calculate b.
1
Let j(w) = -30*w. Let d be j(7). Let t be 4/14 - 66/d. Suppose 3/5*z**2 + 0*z - t = 0. Calculate z.
-1, 1
Let -1/2*z**3 + 1/2*z + 1 + 1/2*z**4 - 3/2*z**2 = 0. What is z?
-1, 1, 2
Let x = -976 - -4139/4. Let h = 59 - x. Factor 0 + h*w - 1/4*w**3 + 1/4*w**4 - 1/4*w**2.
w*(w - 1)**2*(w + 1)/4
Suppose 4*o - 20 = -0*o. Factor -3*v**3 - 4*v**5 + 4*v**5 + 3*v**o.
3*v**3*(v - 1)*(v + 1)
Let g be ((-5082)/(-5))/(-6) + -1. Let i = g - -171. Factor 0 - 6/5*z**2 + i*z.
-3*z*(2*z - 1)/5
Let q be 8*(-1 - (-72)/64). Factor -5/2*j**3 + q + 6*j**2 - 9/2*j.
-(j - 1)**2*(5*j - 2)/2
Let r(z) = 13*z**2 - 17*z + 4. Let t(v) = 32*v**2 - 42*v + 10. Let q(w) = -12*r(w) + 5*t(w). Find o such that q(o) = 0.
1/2, 1
Let q be (-3)/3 + 1 + 8. Suppose 5*l - 6 = -2*g + q, 5*g = -3*l + 16. Factor 0*m**g + m - m**3 - 1/2*m**4 + 1/2.
-(m - 1)*(m + 1)**3/2
Let b(n) be the first derivative of -n**6/45 - 8*n**5/75 - n**4/5 - 8*n**3/45 - n**2/15 + 27. Factor b(m).
-2*m*(m + 1)**4/15
Suppose -8*g**2 - 30*g**4 - 4 + 26*g - 9*g**3 - 17*g**3 + 42*g**2 = 0. What is g?
-1, 2/15, 1
Let y(h) be the second derivative of h**5/100 + h**4/15 + h**3/10 + 8*h. Factor y(q).
q*(q + 1)*(q + 3)/5
Let h(m) be the first derivative of m**6/6 + 2*m**5/5 - 2*m**3/3 - m**2/2 - 3. Factor h(z).
z*(z - 1)*(z + 1)**3
Let x be 96/(-18)*6/(-8). Factor -2/11*g**5 - 12/11*g**x + 0 + 0*g**2 + 0*g - 18/11*g**3.
-2*g**3*(g + 3)**2/11
Suppose -19 = -13*y + 7. Factor -2/5*