**5 + 0*k - 28/3*k**3 - 72 + 1/6*k**6 - 3*k**4. Factor b(p).
p*(p - 4)*(p + 1)*(p + 2)**2
Let k = -2633 - -2633. Let g(r) be the third derivative of -1/240*r**6 + 0*r**4 + 0*r**3 + 15*r**2 + 0*r + k*r**5 + 0 - 1/1260*r**7. Factor g(o).
-o**3*(o + 3)/6
Let f(w) be the third derivative of w**8/112 + 3*w**7/35 + w**6/10 - 9*w**5/10 - 5*w**4/8 + 6*w**3 - 789*w**2 + 2. Let f(h) = 0. What is h?
-4, -3, -1, 1
Let f(p) be the second derivative of 0*p**2 - 1/40*p**5 - 1/48*p**4 - 111*p + 0*p**3 - 1/120*p**6 + 0. Let f(t) = 0. Calculate t.
-1, 0
Let c(f) be the second derivative of f**6/30 - 22*f**5/5 - 477*f**4/2 - 4536*f**3 - 83835*f**2/2 + 502*f + 7. Factor c(h).
(h - 115)*(h + 9)**3
Let k(l) = 20*l + 1440. Let s be k(-72). Let f(m) be the second derivative of -5/4*m**5 + s + 13*m - 1/6*m**6 - 15/4*m**4 - 35/6*m**3 - 5*m**2. Factor f(i).
-5*(i + 1)**3*(i + 2)
Factor -119/5*w**2 + 574/5*w - 4/5*w**3 - 136/5.
-(w - 4)*(w + 34)*(4*w - 1)/5
Let f(d) be the third derivative of d**7/140 + 3*d**6/80 - d**5/10 + 422*d**2. Solve f(y) = 0.
-4, 0, 1
Let c(r) = -11*r**2 + 24*r + 12. Let n = 3 - 0. Let m be ((-8)/3)/(5/(-15)*2). Let g(x) = 12*x**2 - 24*x - 12. Let a(y) = m*g(y) + n*c(y). Factor a(z).
3*(z - 2)*(5*z + 2)
Let t be -1*(-684)/208*1/6. Let c = t + -11/26. Let -c*k**2 + 3/8*k - 1/4 = 0. What is k?
1, 2
Let j(p) be the first derivative of p**2/2 + 31*p + 77. Let s be j(-28). Let -4/19*x - 2/19*x**s + 6/19*x**2 + 0 = 0. Calculate x.
0, 1, 2
Let y(j) be the first derivative of 42*j + 75/2*j**2 + 174 + 11*j**3. Factor y(o).
3*(o + 1)*(11*o + 14)
Suppose 14*k - 11*k - 15 = 2*v, 0 = -k - 5*v + 5. Let b(u) be the first derivative of 0*u**5 + k + u**4 - 1/3*u**6 - u**2 + 0*u + 0*u**3. What is f in b(f) = 0?
-1, 0, 1
Let r be 37/99*1 - (-4)/22. Suppose 61*c - 65*c - 6 = -2*t, 3*t = -4*c + 9. Determine y so that -1/3*y**t + r*y**2 + 1/3*y - 4/9 - 1/9*y**4 = 0.
-4, -1, 1
Let j(q) be the second derivative of 0*q**4 - 43*q + q**3 + 0 + 1/20*q**6 + 0*q**2 - 9/40*q**5. Solve j(l) = 0 for l.
-1, 0, 2
Factor 2458/7*j + 264 - 8/7*j**2.
-2*(j - 308)*(4*j + 3)/7
Let l = -288 - -288. Suppose 0*k - k + 5*k = l. Factor 1/5*d**3 + 2/5*d**2 + 0*d + k - 1/5*d**4.
-d**2*(d - 2)*(d + 1)/5
Suppose -19*s + 477 = -549. Let y be (-56)/42*s/(-24). Factor -3/5*c**5 + 0*c + 0 + 3/5*c**2 + 9/5*c**4 - 9/5*c**y.
-3*c**2*(c - 1)**3/5
Let l = 4823/54 - 2398/27. Determine w so that -1/6*w**2 - 1/3 - l*w = 0.
-2, -1
Suppose -5*h = -4*l - 2, 309*l - 313*l = h - 10. Let j(q) = q**3 - 41*q**2 - 43*q + 42. Let u be j(42). Factor -6 + u*r + 2/3*r**l.
2*(r - 3)*(r + 3)/3
Let p(a) be the second derivative of -3*a**6/55 - 327*a**5/55 - 536*a**4/33 - 166*a**3/11 - 71*a**2/11 - 8792*a. Let p(v) = 0. What is v?
-71, -1, -1/3
Let b(o) be the third derivative of 0 + 1/2*o**3 + 0*o - 7/10*o**5 - 1/16*o**4 + 89*o**2. Determine x so that b(x) = 0.
-2/7, 1/4
Let b be 1 - (-13)/(9 - 22). Let c be (3/((-9)/2))/((-16)/18). Factor b + c*j**2 - 9/4*j.
3*j*(j - 3)/4
Factor 0 + 3/8*a**3 - 9/8*a**2 - 3/2*a.
3*a*(a - 4)*(a + 1)/8
Factor -29/6*k**2 + 1/6*k**3 + 49/2*k - 69/2.
(k - 23)*(k - 3)**2/6
Let q(t) be the first derivative of -5*t**4/4 + 85*t**3/3 - 110*t**2 + 140*t + 256. Solve q(u) = 0.
1, 2, 14
Suppose 3*k = 1 + 8. Suppose 4*t = -5*a + 21, -2*t + k + 3 = 4*a. Find p, given that 19 - t - 5*p**2 - p - 4*p = 0.
-2, 1
Let v(z) be the third derivative of z**6/30 - z**5/5 - 3*z**4 - 773*z**2. Factor v(u).
4*u*(u - 6)*(u + 3)
Let b(u) = 3*u**2 - 33*u + 33. Let m(q) = -q**2 + 9*q - 7. Let z be m(8). Let n be b(z). Suppose 9/7*i**2 - 3/7*i**n + 3/7*i - 9/7 = 0. What is i?
-1, 1, 3
Factor -3*d**4 + 0 + 87 - 111*d**3 - 45*d**2 + 21 - 60*d**2 + 111*d.
-3*(d - 1)*(d + 1)**2*(d + 36)
Suppose 0 = 2*y - 5 + 1, 5*x - 20 = -5*y. Let d be -5 - (-27 + 11)/(x + 1). Factor 2/3*f + 1/3*f**2 + d.
(f + 1)**2/3
Let o(b) = -16*b**2 - 57*b - 19. Suppose 22 = 15*u - 38. Let q(m) = -3*m**2 - 11*m - 4. Let j(c) = u*o(c) - 22*q(c). Let j(d) = 0. Calculate d.
-6, -1
Let s = 16 + -13. Let f(g) = 14*g**3 - 13*g**2 - 3*g - 1. Let c(a) = -a**3 + 2*a**2 - a + 1. Let p(o) = s*f(o) + 15*c(o). Suppose p(d) = 0. Calculate d.
-1, 2/3
Let t be (-4)/16 + 11/((-1100)/(-425)). Let 3/2*g - 9/4*g**2 + 0 + 3/4*g**t + 0*g**3 = 0. What is g?
-2, 0, 1
Let w(d) = 2*d**2 + 416*d - 2366. Let p(c) = c**2 + 138*c - 785. Let g(b) = 14*p(b) - 5*w(b). Factor g(n).
4*(n - 30)*(n - 7)
Let w be (2 + -5)/(60*(-15)/960). Determine r so that w*r**3 - 8*r**2 + 17/5*r - 2/5 = 0.
1/4, 2
Let h(s) be the third derivative of s**6/600 - s**5/60 - 7*s**4/30 + 16*s**3/15 - 7*s**2 - 114*s. Determine g so that h(g) = 0.
-4, 1, 8
Let k(l) be the first derivative of -2*l**6/3 - 24*l**5/5 - 11*l**4 - 8*l**3/3 + 24*l**2 + 32*l + 123. Let k(c) = 0. Calculate c.
-2, -1, 1
Let r(g) be the second derivative of 34*g + 0*g**3 - 1/2*g**2 - 1 + 1/48*g**4. Suppose r(h) = 0. What is h?
-2, 2
Suppose 10*l = -3*l - 39. Let r(f) = 8*f**2 + 140*f + 980. Let h(u) = -9*u**2 - 140*u - 980. Let v(q) = l*h(q) - 4*r(q). Determine s, given that v(s) = 0.
-14
Suppose 4*w - 2*n + 336 - 36 = 0, -5*w = 3*n + 353. Let d = 75 + w. Factor 3*g**2 + g**d + 2*g**3 - g**2 + 4*g - 3*g.
g*(g + 1)*(2*g + 1)
Let t(n) be the first derivative of -n**7/42 - n**6/8 + 5*n**4/6 - 35*n**2/2 + 49. Let c(z) be the second derivative of t(z). Find r such that c(r) = 0.
-2, 0, 1
Let b = -96 + 105. Suppose b*k - 88 = 92. Factor 5/4*g**2 + k + 10*g.
5*(g + 4)**2/4
Let w(c) be the second derivative of -c**5/25 - 23*c**4/5 + 578*c**3/15 - 438*c**2/5 + 2*c - 4147. Factor w(x).
-4*(x - 3)*(x - 1)*(x + 73)/5
Let l(q) be the third derivative of 0*q + 94*q**2 + 0 + 1/300*q**6 + 0*q**3 + 0*q**4 - 1/300*q**5 - 1/1050*q**7. Factor l(p).
-p**2*(p - 1)**2/5
Let d = -14 - -114. Find w, given that 0*w**3 + d*w + 175*w**2 + 20*w**3 + 5*w**4 - 265*w**2 - 35 = 0.
-7, 1
Find y, given that -2850/7*y + 64*y**2 + 6/7*y**3 + 4356/7 = 0.
-242/3, 3
Let r(l) be the second derivative of -l**4/12 + 46*l**3 + 837*l**2/2 - 2765*l. Let r(w) = 0. What is w?
-3, 279
Let b = 1279904/13 + -98424. Factor 0 + 0*w + b*w**2 - 56/13*w**3 + 2/13*w**4.
2*w**2*(w - 14)**2/13
Suppose -17*h - 19 + 172 = 0. Let c = 4 - 0. Let h*o**4 + o**4 + 10*o**3 - 15*o**c - 5*o**2 = 0. Calculate o.
0, 1
Let l(a) be the second derivative of -a**6/72 + a**5/3 + a**3/3 + 17*a**2 + 7*a - 1. Let i(m) be the second derivative of l(m). Factor i(n).
-5*n*(n - 8)
Let p be (1293/(-15))/(-1) - (-13)/(-65). Suppose 5*m - 14*t - 280 = -9*t, -5*t = m - p. Determine l, given that -2 - 1107/2*l**2 - m*l - 5103/4*l**3 = 0.
-2/7, -2/27
Let g(a) be the second derivative of a**6/72 + a**5/8 + 5*a**4/12 + 7*a**3/2 + 5*a**2/2 + 36*a. Let m(h) be the second derivative of g(h). Factor m(i).
5*(i + 1)*(i + 2)
Let c = -1141 + 3943. Let a = 3935 - c. Factor -a + 1133 + 10*b + 20*b**3 + 52*b**2 + 14*b.
4*b*(b + 2)*(5*b + 3)
Factor -147456 - 4173*r**2 + 2000*r - 464*r + 8336*r**2 - 4167*r**2.
-4*(r - 192)**2
Solve 2/13*v**3 + 0*v**2 - 54/13*v + 108/13 = 0 for v.
-6, 3
Let -20*l + 4575*l**3 - 9265*l**3 - 920 - 5*l**4 + 690*l**2 + 4475*l**3 = 0. Calculate l.
-46, -1, 2
Let x(v) be the first derivative of v**4/4 + 173*v**3/3 - 13509. Solve x(i) = 0 for i.
-173, 0
Let t(x) be the first derivative of -3/5*x**5 - 30*x**2 - 24*x - 18*x**3 - 21/4*x**4 + 66. Find y such that t(y) = 0.
-2, -1
Let y be (-36)/66 - 38/11. Let j be (-4 + (-6)/(-3))/(y - -3). Let -6/11*b**j - 4/11 - 14/11*b = 0. Calculate b.
-2, -1/3
Let m = -54 - -94. Let u = m + -37. Suppose -5*x**5 - 5*x + 2 - 10*x**2 + 4*x**4 + 4*x**4 + 10*x**u - 3*x**4 + 3 = 0. What is x?
-1, 1
Let x(j) be the first derivative of 5*j**3 - 11/2*j**2 - 9/4*j**4 + 13 + j. Let l(d) = 10*d**3 - 15*d**2 + 10*d. Let t(f) = -4*l(f) - 5*x(f). Factor t(a).
5*(a - 1)**3
Let f = -1210078 + 4840315/4. Suppose -8 = 4*u, 0*k + 2*k - 4*u - 14 = 0. Factor -3/2*r**2 - 3/4*r**k + f*r + 3/2.
-3*(r - 1)*(r + 1)*(r + 2)/4
Let l(i) be the third derivative of 41*i**5/30 + 34*i**4/5 - 4*i**3/15 - 2361*i**2. Factor l(a).
2*(a + 2)*(205*a - 2)/5
Let i = 353 + -344. Let l be ((-76)/8 + i)/(2/(-8)). Let 3/2 + 3/2*j - 3*j**l = 0. What is j?
-1/2, 1
Suppose 8 = -3*w - 2*t, 13 = 5*w - 4*t - 3. Let s(n) be the third derivative of 0*n + 1/6*n**3 + 1/30*n**5 + w - 5/48*n**4 - 21*n**2 - 1/240*n**6. Factor s(k).
-(k