 + 14*c/5 - 668. Factor a(q).
2*(q + 7)*(3*q - 1)**2/5
Let a(v) be the first derivative of v**4/4 - v**3 + v**2/2 + 2*v + 24. Let u be a(2). Factor 1/5*k + u - 1/5*k**2.
-k*(k - 1)/5
Let q(d) be the second derivative of -7*d + 0*d**2 - 1/16*d**3 + 3/160*d**5 + 1/32*d**4 + 0 - 1/80*d**6. Let q(l) = 0. What is l?
-1, 0, 1
Let g(i) be the third derivative of 0*i + 24*i**2 - 3/100*i**5 - 7/200*i**6 - 1/560*i**8 + 0 - 1/70*i**7 + 0*i**3 + 0*i**4. Solve g(r) = 0.
-3, -1, 0
Let m(s) be the first derivative of -3*s**4/5 + 124*s**3/15 - 208*s**2/5 + 448*s/5 - 31. Suppose m(f) = 0. Calculate f.
7/3, 4
Factor 16/9*a - 4/9*a**4 - 4/9*a**3 + 16/9*a**2 + 0.
-4*a*(a - 2)*(a + 1)*(a + 2)/9
Suppose -115*t = -119*t + 24. Suppose -k = 4*b - 8, -2*b = -t*b - 3*k. Determine r so that -r**b - 1/2*r**5 + r**2 + 3/2*r + 1/2 - 3/2*r**4 = 0.
-1, 1
Let b(n) be the first derivative of -n**6/42 - n**5/35 + 9*n**4/28 - 11*n**3/21 + 2*n**2/7 + 164. Let b(i) = 0. What is i?
-4, 0, 1
Let u(r) = -30 - 8*r - r**3 - 8*r**2 + 18 + 5. Let g be u(-7). Factor 0*c**2 + 1/5*c**3 + g + 0*c.
c**3/5
Let h(u) = 4*u**2 - u - 3. Let a(v) = 7*v**2 - v - 6. Let k = 11 + -9. Let y be 11/4 + k/8. Let x(d) = y*a(d) - 5*h(d). Factor x(j).
(j - 1)*(j + 3)
Let t = -38 - -43. Let y(j) = -j**3 + 3*j. Let h(v) = -2*v**3 + 7*v. Let n(i) = t*y(i) - 2*h(i). Factor n(u).
-u*(u - 1)*(u + 1)
Let x(p) be the first derivative of -p**4/6 + 298*p**3/9 - 295*p**2/3 + 98*p + 806. Factor x(j).
-2*(j - 147)*(j - 1)**2/3
Suppose j - 15 = -10. Let v = 7 - j. Solve -7 - 6*x**2 + 5 + 14*x**v + 5*x**3 + x = 0 for x.
-1, 2/5
Let t(f) = 0*f**3 - 8*f - 4 + 40*f + 13*f**3 - 47*f**2 - 4. Let q(y) = 14*y**3 - 46*y**2 + 32*y - 8. Let p(w) = 5*q(w) - 4*t(w). Factor p(g).
2*(g - 1)*(3*g - 2)**2
Let o = 124 + -113. Let y(n) = 15*n**5 - 19*n**4 + 7*n**3 - 3*n**2. Let h(q) = -8*q**5 + 10*q**4 - 4*q**3 + 2*q**2. Let g(j) = o*h(j) + 6*y(j). Solve g(b) = 0.
-1, 0, 1, 2
Let u(h) = h + 9 + 0*h**2 + 3*h**2 - 11*h - 2*h**2. Let t be u(9). Factor -4*x + 2*x**2 + 4 - x - x + t*x.
2*(x - 2)*(x - 1)
Let q(z) be the first derivative of -z**6/2 + 18*z**5/5 - 27*z**4/4 - 787. Determine f so that q(f) = 0.
0, 3
Let y(v) be the first derivative of v**6/540 + v**5/54 + 9*v**2 + 12. Let u(c) be the second derivative of y(c). Factor u(q).
2*q**2*(q + 5)/9
Suppose -60 = 10*y - 10. Let f be 32/16 + y/4. Factor 0*r + 0*r**2 - f*r**5 + 0 + 3/4*r**3 + 0*r**4.
-3*r**3*(r - 1)*(r + 1)/4
Let a(u) = 7*u**2 + 6*u + 4. Suppose -2*l - 3 = -35. Suppose 2*o - l = -2*o. Let j(k) = 15*k**2 + 12*k + 9. Let n(m) = o*j(m) - 9*a(m). Factor n(f).
-3*f*(f + 2)
Suppose -14 = -4*c + 3*x, 0 = 6*c - 8*c - 5*x - 6. Let h(y) be the first derivative of -1/3*y**3 + 6 - c*y**2 - 3*y. Factor h(u).
-(u + 1)*(u + 3)
Let c(a) = 2*a**2 + 22*a + 3. Let y be c(-11). Suppose 4*z + 4*p - 17 - 7 = 0, 0 = -3*z + y*p + 12. Factor -4/5*d**2 + 0 - 2/5*d**z + 2/5*d + 0*d**3 + 4/5*d**4.
-2*d*(d - 1)**3*(d + 1)/5
Let i(j) = -j**2 - 10*j - 6. Suppose -26 - 37 = 7*g. Let r be i(g). Factor -4*q**3 + 3*q**3 - r*q + 4*q.
-q*(q - 1)*(q + 1)
Let k(l) be the third derivative of l**6/180 + l**5/6 + 3*l**4/4 + 13*l**3/9 - 2*l**2 + 52*l. Let k(n) = 0. Calculate n.
-13, -1
Let c(q) = -8*q**2 + 29*q - 9. Let j be c(3). Let h(b) be the first derivative of b**4 - 14/3*b**3 + j*b - 9 + 2*b**2. Determine w, given that h(w) = 0.
-1/2, 1, 3
Suppose 20 + 0 = 5*k. Suppose -2*q**2 + 2*q**3 + 11*q + q - k*q**3 - 2*q - 6 = 0. Calculate q.
-3, 1
Let r(t) be the second derivative of -t**4/12 + 76*t**3/3 - 2888*t**2 - t - 126. Let r(s) = 0. Calculate s.
76
Factor 0 + 68/7*a**3 + 52/7*a**2 - 16/7*a.
4*a*(a + 1)*(17*a - 4)/7
Let t(k) be the first derivative of k**5/10 - 3*k**4/2 + 37*k**3/6 - 21*k**2/2 + 8*k - 57. Suppose t(i) = 0. What is i?
1, 2, 8
Solve 7/2*g**5 - 7/2*g**3 - g**4 + 0*g + 0 + g**2 = 0.
-1, 0, 2/7, 1
Let x be 3 + (-3 - 3) - -6. Suppose x*h - 20 = -2*h. Factor -h*d + 5*d + d**3 - 3*d + d**3.
2*d*(d - 1)*(d + 1)
Let n = 108 - 102. Factor y**2 + 3*y**2 - y**2 + 6 + 3*y - n*y**2.
-3*(y - 2)*(y + 1)
Determine j so that -648*j**2 + 711*j**3 - 1864*j**3 - 144 + 1140*j - 243*j**4 - 876*j**2 - 737*j**3 - 1161*j**3 = 0.
-12, -1, 2/9
Let b(d) = d**2 - 8*d + 4. Suppose 0*c - 10 = -2*c. Let q(z) = z**2 - 9*z + 5. Let f(k) = c*b(k) - 4*q(k). Solve f(x) = 0.
0, 4
Suppose -5/6*i**4 - 1/3*i - 3/2*i**3 - 7/6*i**2 + 0 - 1/6*i**5 = 0. What is i?
-2, -1, 0
Let s be 4*(-195)/(-208) + (-2)/(-8). Let 0*n**3 + 0 + 4/5*n**2 - 4/5*n**s - 2/5*n**5 + 2/5*n = 0. Calculate n.
-1, 0, 1
Let w(r) = 2*r**3 - 2*r**2 + 1. Let j(i) = 7*i**3 - 51*i**2 - 93*i - 44. Let l(s) = -j(s) + 3*w(s). Let l(y) = 0. Calculate y.
-1, 47
Suppose -40*u + 108 = -92. Let v(w) be the first derivative of 2 + 1/10*w**4 - 1/3*w**3 + 0*w - 1/5*w**2 + 1/5*w**u. Let v(i) = 0. What is i?
-1, -2/5, 0, 1
Let u(b) be the first derivative of -b**6/36 + b**5/15 + b**4/4 - 10*b**3/9 + 19*b**2/12 - b - 117. Let u(h) = 0. What is h?
-3, 1, 2
Let k(i) be the third derivative of -25/24*i**4 + 0*i**3 - 1/4*i**5 - 1/40*i**6 - 1/1050*i**7 + 0*i + 0 + 9*i**2. Determine o so that k(o) = 0.
-5, 0
What is j in 2/3*j + 1/3*j**2 + 0 - 1/3*j**3 = 0?
-1, 0, 2
Let v(q) be the first derivative of -2*q**6/3 - 8*q**5/5 - q**4 + 251. Factor v(n).
-4*n**3*(n + 1)**2
Let k be (-42)/(-8) + 15/(-12). Let t(i) be the first derivative of -5 + 1/12*i**2 + 1/18*i**3 - 1/24*i**k - 1/6*i. Factor t(d).
-(d - 1)**2*(d + 1)/6
Suppose 48*b**2 - 19*b**4 + 5*b - 36 - 3*b**5 + 40*b - 18 + b**4 - 18*b**3 = 0. What is b?
-3, -2, 1
Suppose -5*j + 10 = g, 4*g = -17*j + 16*j - 17. Factor 1/5*q**j - 1/5 + 3/5*q - 3/5*q**2.
(q - 1)**3/5
Let o(u) be the third derivative of -u**8/560 + u**7/140 - u**6/120 + 5*u**3/2 + 9*u**2. Let w(i) be the first derivative of o(i). Factor w(p).
-3*p**2*(p - 1)**2
Factor -1/4*s**2 + 4 + 0*s.
-(s - 4)*(s + 4)/4
Suppose 2*p - 7 = 1. Suppose -9 = -p*c + 3. Factor -13*x**4 - 4*x**5 + 5*x**4 - x**3 - c*x**3.
-4*x**3*(x + 1)**2
Let f(j) be the first derivative of -98*j**5/5 + 273*j**4 - 3602*j**3/3 + 1560*j**2 - 800*j - 100. Factor f(l).
-2*(l - 5)**2*(7*l - 4)**2
Suppose 3*y + 4*b - 91 = -69, y + 3*b = 14. Find q, given that 0*q**y - 2/5*q**3 + 0*q + 2/5*q**4 + 0 = 0.
0, 1
Let h(y) = y**2 + 37*y + 93. Let x be h(-34). Let u be (3 + x)*1/(-3). Determine r, given that -6/7*r - 3/7*r**u - 3/7 = 0.
-1
Let u(c) be the second derivative of -c**9/83160 + c**8/9240 - c**7/2772 + c**6/1980 + c**4/2 + 14*c. Let v(q) be the third derivative of u(q). Factor v(h).
-2*h*(h - 2)*(h - 1)**2/11
Let y = 504 - 3522/7. Let g(l) be the first derivative of -9 + 2/21*l**3 + y*l**2 + 18/7*l. Factor g(o).
2*(o + 3)**2/7
Let h(g) be the first derivative of g**6/6 + 6*g**5/5 - g**4/4 - 10*g**3 + 140. Suppose h(a) = 0. What is a?
-5, -3, 0, 2
Suppose 35*h - 85 = 18*h. Let p(a) be the third derivative of 0*a + 2/21*a**3 + 0 - 1/210*a**h + 9*a**2 - 1/84*a**4. Factor p(i).
-2*(i - 1)*(i + 2)/7
Factor -2*g**4 - 2*g**4 + 651*g**5 + 5*g**3 - 650*g**5 - 2*g**2.
g**2*(g - 2)*(g - 1)**2
Let d = 103947/7 + -14849. Solve 4/7*u**4 - d*u**2 - 12/7*u**3 + 0 + 12/7*u = 0.
-1, 0, 1, 3
Let n(k) = k**2 - 2*k + 4. Let a = -10 - -9. Let p be 11/3 + a/(-3). Let t(r) = r**2 - 2*r + 5. Let j(s) = p*t(s) - 5*n(s). Let j(i) = 0. What is i?
0, 2
Let q(w) = -7*w**4 - w**4 - 2*w**3 + 2*w**4 - 4*w. Let d(v) = -11*v**4 - 3*v**3 + v**2 - 7*v. Let r(j) = -6*d(j) + 10*q(j). Suppose r(z) = 0. What is z?
-1, 0, 1/3, 1
Let w = 201 - 199. Suppose -3*j - 3*b + 2*b + 140 = 0, 5*j - 4*b = 239. Determine d so that -16*d + 55*d**3 - j*d + 8*d**4 + 3*d - 23*d**4 - 30*d**w + 40 = 0.
-1, 2/3, 2
Let u(p) be the third derivative of p**6/360 - p**5/10 + 3*p**4/2 - 11*p**3/6 - 17*p**2. Let m(z) be the first derivative of u(z). What is i in m(i) = 0?
6
Let i(r) be the third derivative of r**10/15120 - r**9/26460 - 11*r**4/12 - 4*r**2. Let k(a) be the second derivative of i(a). Factor k(n).
2*n**4*(7*n - 2)/7
Let l(c) be the first derivative of c**7/105 - c**6/60 - c**5/5 + c**4/3 + 8*c**3/3 - 47*c**2/2 + 15. Let f(o) be the second derivative of l(o). Factor f(i).
2*(i - 2)**2*(i + 1)*(i + 2)
Let v(k) = k**2 + 4*k - 6. Let n be v(-5). Let z be n - (4 - 48/9). Factor -1/3*q**2 + 1/3*q**3 + 0 + 0*q - z*q**5 + 1/3*q**4.
-q**2*(q - 1)**2*(q + 1)/3
Factor -448 - 395*l -