e 1/2*a**3 - 7*a**2 + 64 + 16*a = 0. What is a?
-2, 8
Let q(v) be the second derivative of -1/15*v**6 + 0 + 1/6*v**4 + 1/42*v**7 - 1/5*v**5 + 1/2*v**3 + 0*v**2 - 11*v. Factor q(h).
h*(h - 3)*(h - 1)*(h + 1)**2
Suppose c + x = 1, -7*c + 27 = -4*c - 5*x. Let p(l) be the first derivative of 1 - 15/4*l**2 + 2*l**3 - 3/8*l**c + 3*l. Let p(r) = 0. What is r?
1, 2
Factor -6/7*b + 0 + 2/7*b**3 - 4/7*b**2.
2*b*(b - 3)*(b + 1)/7
Let q(k) be the second derivative of k**6/10 + k**5/100 - 159*k - 1. Factor q(r).
r**3*(15*r + 1)/5
Let q(g) be the second derivative of -g**6/10 + 273*g**5/10 - 8281*g**4/4 + 7*g - 46. Suppose q(u) = 0. Calculate u.
0, 91
Let g(j) = -j**3 - 3*j**2 + 2*j - 8. Let y be 84/(-20) + 1/5. Let n be g(y). Determine u so that -2*u**2 + 3*u**2 - 6*u + 9 + n*u**2 = 0.
3
Let y(s) be the second derivative of 1/114*s**4 - 1/57*s**3 - 2/19*s**2 + 0 - 17*s. Factor y(o).
2*(o - 2)*(o + 1)/19
Let o(w) be the first derivative of 2*w**5/15 - w**4/3 - 10*w**3/9 + 2*w**2 + 67. Determine k, given that o(k) = 0.
-2, 0, 1, 3
Let s(g) be the second derivative of 0 - 1/10*g**5 - 1/3*g**3 - 1/3*g**4 - 3*g + 0*g**2. Suppose s(i) = 0. What is i?
-1, 0
Let t be (-2)/(-12)*(-42)/20 - 162/(-216). Let 0 - 3/5*r**4 + 7/5*r**2 - t*r - 2/5*r**3 = 0. Calculate r.
-2, 0, 1/3, 1
Factor 3/5*m**2 + 231/5*m - 234/5.
3*(m - 1)*(m + 78)/5
Let w be ((-12)/(-14))/(5/7). Suppose -2*j = -3*n + 20, 0 = -3*j - 23*n + 27*n - 26. Factor 0 + 0*m + w*m**3 + 2/5*m**4 + 4/5*m**j.
2*m**2*(m + 1)*(m + 2)/5
Suppose 1709*q - 1717*q + 16 = 0. Let 8/7 + 2/7*x**q + 10/7*x = 0. What is x?
-4, -1
Suppose 15 - 8 = 97*f + 7. Solve f + 2/3*u**3 + 2/3*u**5 + 2*u**2 - 2*u**4 - 4/3*u = 0.
-1, 0, 1, 2
Let w(i) be the first derivative of -i**6/30 - 7*i**5/25 - 9*i**4/20 + 7*i**3/15 + i**2 - 68. Determine b, given that w(b) = 0.
-5, -2, -1, 0, 1
Let x be -8*(-18)/60 - 4/10. Let j(y) be the third derivative of -1/180*y**5 + 1/630*y**7 + 0*y - 1/72*y**4 + x*y**2 + 0*y**3 + 1/360*y**6 + 0. Factor j(f).
f*(f - 1)*(f + 1)**2/3
Let d be 7 + -2*4/((-12)/3). Let l = d + -4. Suppose 0*m - 1/4*m**4 + 1/4*m**3 + 1/4*m**2 + 0 - 1/4*m**l = 0. Calculate m.
-1, 0, 1
Let g = 308/23 + -22/115. Let -8*z + 2*z**4 - 44/5*z**3 + g*z**2 + 8/5 = 0. Calculate z.
2/5, 1, 2
Solve 0 + 5/9*t**3 + 7/9*t - 13/9*t**2 + 1/9*t**4 = 0.
-7, 0, 1
Let x = 19/30 + -7/30. Solve x - 3/5*r + 1/5*r**2 = 0 for r.
1, 2
Let h = 327 - -208. Let -1 - 108*z + 4 + h*z**2 + 0 + 437*z**2 = 0. Calculate z.
1/18
Let z(p) be the third derivative of p**6/780 + p**5/65 + 5*p**4/156 - 4*p**3/13 - 368*p**2. Factor z(r).
2*(r - 1)*(r + 3)*(r + 4)/13
Let b = -41 + 44. Let u(q) be the second derivative of 0 + 2*q**2 - 1/6*q**4 - 1/3*q**b + 2*q. Suppose u(s) = 0. Calculate s.
-2, 1
Let o(l) be the third derivative of l**6/1890 + l**5/84 + l**4/36 - 11*l**3/3 + 40*l**2. Let g(z) be the first derivative of o(z). Factor g(n).
2*(n + 7)*(2*n + 1)/21
Let t(o) be the second derivative of -o**7/420 - o**6/120 + o**4/24 + o**3/12 - 25*o**2/2 - 12*o. Let b(m) be the first derivative of t(m). Factor b(f).
-(f - 1)*(f + 1)**3/2
Let j be (19/855)/(2/4)*1*9. Let w(y) = y**2 - y. Let s be w(0). Find n, given that s + 2/5*n**3 + j*n + 4/5*n**2 = 0.
-1, 0
Let f = -38516 - -38517. Solve -k - f - 1/4*k**2 = 0 for k.
-2
Let z(a) = -2*a**2 + 42*a. Let j(q) = q**2 - q. Let t(u) = -6*j(u) - z(u). Factor t(c).
-4*c*(c + 9)
Suppose -4*k - b + 94 = 0, 2*k + 2*k = 2*b + 100. Solve -36 - 8*w**2 + k*w + w**2 + 3*w**2 = 0.
3
Let k(v) be the second derivative of -1/10*v**5 + 1/15*v**6 - 1/6*v**4 + 0 + 0*v**3 + 0*v**2 + 1/21*v**7 - 13*v. Factor k(b).
2*b**2*(b - 1)*(b + 1)**2
Let h be 4 + (-5)/1 + 7. Suppose -14*o = -h*o. Solve 24/5*y**4 + 0*y**2 + 12/5*y**3 + 0 + o*y - 63/5*y**5 = 0.
-2/7, 0, 2/3
Factor -11/6*b**3 - 20/3*b - 13/2*b**2 - 2.
-(b + 1)*(b + 2)*(11*b + 6)/6
Let c(g) be the third derivative of 1/100*g**6 + 0 - 7*g**2 - 1/840*g**8 - 7/300*g**5 + 1/60*g**4 + 0*g**3 + 0*g + 1/1050*g**7. Find u such that c(u) = 0.
-2, 0, 1/2, 1
Suppose -g - 75 = 3*a + 9, 3*a + 81 = -2*g. Let y(n) = n**3 + 30*n**2 + 30*n + 29. Let w be y(a). Let -3/5*b**3 + 1/5*b**2 + 2/5*b + w = 0. What is b?
-2/3, 0, 1
Factor -7*y**3 + 65*y + 49*y**3 - 7*y**3 + 8*y**4 - 3*y**4 + 75*y**2 + 20.
5*(y + 1)**3*(y + 4)
Let a(k) be the first derivative of k**5 + 25*k**4/4 + 25*k**3/3 - 25*k**2/2 - 30*k - 17. Let a(d) = 0. What is d?
-3, -2, -1, 1
Let q = 107 - 105. Determine o so that q*o**3 + 0*o**2 + 5*o**3 - 3*o**2 - o**5 - 3*o**2 = 0.
-3, 0, 1, 2
Suppose 34 = 31*l - 14*l. Let j be l/((-6)/(-8) - 6/(-24)). Let 4/5 + 24/5*z**2 + 18/5*z + j*z**3 = 0. What is z?
-1, -2/5
Suppose -9*q = -13*q + 24. Let t be 21/18*q/28. Determine a so that -t*a**2 - 1/4*a + 0 = 0.
-1, 0
Let u(i) be the first derivative of i**5/5 - 5*i**4 + 6*i**3 + 10*i**2 - 19*i + 18. Let u(z) = 0. Calculate z.
-1, 1, 19
Let k = -105 - -123. Let u be (-9)/k*(1/3 + -1). Factor -1/3*d**2 - u*d + 0.
-d*(d + 1)/3
Let p(h) be the first derivative of -6*h**5/5 + 7*h**4/2 + 6*h**3 - 7*h**2 - 12*h + 51. Suppose p(s) = 0. What is s?
-1, -2/3, 1, 3
Determine v, given that 39/4 - 9*v - 3/4*v**2 = 0.
-13, 1
Let y(q) be the first derivative of 48*q**5/25 - 6*q**4/5 - 19*q**3/5 + 12*q**2/5 + 9*q/5 - 28. Find m, given that y(m) = 0.
-1, -1/4, 3/4, 1
Let a(m) be the second derivative of 49*m**5/2 + 203*m**4/3 - 268*m**3/5 + 72*m**2/5 - 2*m - 15. Solve a(q) = 0 for q.
-2, 6/35
Let f(h) be the first derivative of -2/3*h**3 - 3*h**2 - 2/5*h**5 + 4*h + 3/2*h**4 + 4. Factor f(w).
-2*(w - 2)*(w - 1)**2*(w + 1)
Let q(u) be the first derivative of -u**7/4620 + u**6/990 - u**5/660 + 41*u**3/3 - 18. Let x(l) be the third derivative of q(l). Factor x(z).
-2*z*(z - 1)**2/11
Let h(s) be the third derivative of -7*s**2 - 1/60*s**5 - 49/6*s**3 + 0*s + 0 + 7/12*s**4. Find a, given that h(a) = 0.
7
Let t be (0/(8/((-8)/3)))/1. Let p(c) be the first derivative of 1/36*c**6 - 4 + 1/9*c**3 + t*c**4 + 0*c - 1/15*c**5 - 1/12*c**2. Factor p(x).
x*(x - 1)**3*(x + 1)/6
Let r = 281 - 842/3. Let w(j) = -3*j - 21. Let t be w(-8). Factor -r - u**2 + 1/3*u**t + u.
(u - 1)**3/3
Let l(g) = g**2 + 3*g + 6. Let q be l(-4). Let m be 22/6 + q/(-15). Let m*c**5 + c**4 - c**4 + 10*c**3 - 13*c**3 = 0. Calculate c.
-1, 0, 1
Let l(b) be the first derivative of b**6/33 - 14*b**5/55 - b**4/11 + 28*b**3/33 + b**2/11 - 14*b/11 + 140. Solve l(u) = 0.
-1, 1, 7
Suppose 4*o - 11 = 9. Let k = o + -1. Determine y, given that -60*y**2 - 6*y**k - 9*y**3 + 22*y**2 - 4 + 0*y**3 - 17*y**3 - 22*y = 0.
-2, -1, -1/3
Let c = 12 + -9. Suppose 7*t - c*t = 16. Let t*k**4 + 15*k - k**5 - 6*k**3 + 2*k**2 - 2*k**3 + 3*k**4 - 9 - 6*k**3 = 0. Calculate k.
-1, 1, 3
Let i(p) be the first derivative of 0*p**2 - 1/2*p**4 - 16 - 1/21*p**6 + 2/7*p**5 + 2/7*p**3 + 0*p. Factor i(d).
-2*d**2*(d - 3)*(d - 1)**2/7
Let h(x) = -27*x - 7. Let w be h(-3). Let u = 77 - w. Solve 0 - u*b**3 + 9/5*b**4 + 3/5*b + 3/5*b**2 = 0 for b.
-1/3, 0, 1
Factor 0 - 5/4*u - 1/4*u**2.
-u*(u + 5)/4
Let m(q) = -2*q**4 - q**3 - 4*q**2 - 2*q. Let r(i) = -5*i**2 - 3*i**4 + 4*i**3 - 1310*i + 1307*i - 5*i**3. Let k(y) = 4*m(y) - 3*r(y). Factor k(j).
j*(j - 1)**2*(j + 1)
Let v be (-29 - -14 - -12)/(-1). Find t, given that v*t**3 - 90/7*t**2 + 87/7*t - 18/7 = 0.
2/7, 1, 3
Let s(k) be the first derivative of 10*k - 15/4*k**4 + 28 + 25/2*k**2 - 20/3*k**3. Find n, given that s(n) = 0.
-2, -1/3, 1
Factor 6/5*l**3 - 4/15*l**4 + 0 - 8/15*l**2 + 0*l.
-2*l**2*(l - 4)*(2*l - 1)/15
Let r(u) be the third derivative of -u**8/2352 + u**7/735 + u**6/840 - u**5/210 + 13*u**2 + 2*u. Let r(b) = 0. Calculate b.
-1, 0, 1, 2
Let i(b) be the second derivative of b**7/5880 + b**6/280 + 9*b**5/280 - b**4/3 - 5*b. Let d(c) be the third derivative of i(c). Suppose d(g) = 0. Calculate g.
-3
Let z(p) = 2*p**2 - 33*p + 45. Let u(b) = -265*b + 18 + 15*b**2 + 203 + 4 + 135. Suppose 0 = k + 3*k + 12. Let c(o) = k*u(o) + 25*z(o). Factor c(j).
5*(j - 3)**2
Suppose 4*n - 5 = -61. Let x(q) = 14*q**3 - 38*q**2 + 16*q + 8. Let w(f) = -42*f**3 + 114*f**2 - 48*f - 24. Let s(k) = n*x(k) - 5*w(k). Factor s(l).
2*(l - 2)*(l - 1)*(7*l + 2)
Determine f so that 3*f**5 - 269*f**4 + 14*f**2 - 8 + 3*f**5 - 4*f**5 - 2*f**3 + 263*f**4 = 0.
-1, 1, 2
Let p be 25 - 15 - 4 - (0 + 3). What is b in 16*b**2 + 0 + 12*b**p - 28/3*b**4