j**3 + 12*j**2 + 15*j + 11. Let k(v) = -f(v) - 5*z(v). Factor k(q).
-3*(q + 1)**2*(q + 2)
Let q be ((-18)/20)/(90/(-75)). Factor -q*s**2 - 3 + 3*s.
-3*(s - 2)**2/4
Suppose -a - 80 = a. Let l be -5*((-3)/(-2))/(a/16). Factor -6/11*f**2 + 2/11*f**l + 6/11*f - 2/11.
2*(f - 1)**3/11
Let w(a) be the second derivative of -5*a**7/42 + 23*a**6/30 - 7*a**5/4 + 17*a**4/12 + 2*a**3/3 - 2*a**2 - 3*a - 26. Determine r so that w(r) = 0.
-2/5, 1, 2
Let f(z) be the first derivative of z**6/90 - 2*z**5/15 + z**4/2 - 2*z**3 + 5. Let g(d) be the third derivative of f(d). Factor g(h).
4*(h - 3)*(h - 1)
Let k(x) = x**5 - x**3 + x**2 - 2*x - 1. Let y(h) = 8*h**5 - 2*h**4 + 12*h**3 - 4*h**2 - 40*h + 6. Let v(l) = 10*k(l) - y(l). Determine q so that v(q) = 0.
-4, -1, 1, 2
Factor -63/8*y**2 - 117/8*y - 3/8*y**3 - 57/8.
-3*(y + 1)**2*(y + 19)/8
Let f(j) be the second derivative of 2*j**7/7 - 31*j**6/20 - 3*j**5/2 + 47*j**4/4 + 21*j**3 + 27*j**2/4 + 369*j. Let f(n) = 0. What is n?
-1, -1/8, 3
Factor 15*c + 20 - 175/2*c**2.
-5*(5*c + 2)*(7*c - 4)/2
Let v(n) = n**3 - 7*n**2 - 9*n + 11. Let j be v(8). Suppose 3 = j*p - 3. Determine u, given that -2*u + 22/3*u**p - 14*u**4 + 20/3*u**5 - 4/3 + 10/3*u**3 = 0.
-1/2, -2/5, 1
Let t(y) be the third derivative of 1/45*y**5 + 7/180*y**6 - 12*y**2 + 0*y - 1/45*y**7 + 0*y**4 + 0*y**3 - 1/42*y**8 + 0. Solve t(s) = 0.
-1, -1/4, 0, 2/3
Determine y so that -22/9*y**3 - 50/9*y + 2/9*y**4 + 16/9 + 6*y**2 = 0.
1, 8
Let r(n) be the first derivative of n**4/14 + 2*n**3/3 + 2*n**2 + 16*n/7 - 153. Solve r(q) = 0 for q.
-4, -2, -1
Let g(l) be the second derivative of 0 - 1/78*l**4 - 1/39*l**3 + 0*l**2 + 17*l. Factor g(s).
-2*s*(s + 1)/13
Let u(n) be the first derivative of 4*n**3/9 - 76*n**2/3 + 148*n/3 + 36. Factor u(g).
4*(g - 37)*(g - 1)/3
Find n such that 84*n - 30*n + 5 + 6*n + 5*n**2 + 50 = 0.
-11, -1
Let m(z) be the second derivative of z**6/135 - 2*z**5/15 + 23*z**4/27 - 20*z**3/9 + 25*z**2/9 - 40*z - 2. Suppose m(o) = 0. Calculate o.
1, 5
Let q(o) = -o + 8. Suppose 3*y + 3*m = -m + 10, 2*m = -3*y + 14. Let s be q(y). What is u in 7*u + 4*u**2 + 0 + s + 5*u - 3*u = 0?
-2, -1/4
Let i(n) = -n**4 - n**3 - n**2 - 1. Let q(u) = 5*u**5 + 43*u**4 + 83*u**3 + 3*u**2 + 3. Let l(k) = 3*i(k) + q(k). Determine x, given that l(x) = 0.
-4, 0
Let g(u) be the first derivative of -4*u**3/15 + 9*u**2/5 - 18*u/5 + 48. Solve g(b) = 0 for b.
3/2, 3
Factor -22*v**3 + 1 - 1 + 27*v + 48*v**2 + 2*v**4 + 45*v.
2*v*(v - 6)**2*(v + 1)
Let y(j) be the first derivative of -j**5/15 + 13*j**3/9 - 2*j**2 + 74. Factor y(k).
-k*(k - 3)*(k - 1)*(k + 4)/3
Let k(v) = -3*v**3 - 7*v**2 - 5*v**4 - 1 - 1 + 5*v**2. Let c(r) = -11*r**4 - 6*r**3 - 5*r**2 - 5. Let t(p) = 2*c(p) - 5*k(p). Factor t(o).
3*o**3*(o + 1)
Factor 102*x**2 - 354*x - 231 - 9 + 63*x**2 - 276*x**2 + 3*x**3.
3*(x - 40)*(x + 1)*(x + 2)
Suppose 0 + 8/5*n**2 + 3*n**3 - 16/5*n + 1/5*n**5 - 8/5*n**4 = 0. Calculate n.
-1, 0, 1, 4
Let c(p) be the second derivative of -p**8/11200 + p**7/1050 - p**6/240 + p**5/100 + p**4/2 + 14*p. Let z(k) be the third derivative of c(k). Factor z(s).
-3*(s - 2)*(s - 1)**2/5
Let f(t) be the first derivative of -80*t - 5/3*t**3 - 3 - 20*t**2. Factor f(a).
-5*(a + 4)**2
Let a(b) be the first derivative of -20*b**4/7 - 76*b**3/21 + 2*b**2/7 + 36. Factor a(w).
-4*w*(w + 1)*(20*w - 1)/7
Let w = -178 - -182. Let a be -2 - (-3)/(15/13). Factor -a*d**w + 0*d + 0 - 3/5*d**2 - 6/5*d**3.
-3*d**2*(d + 1)**2/5
Let z(a) be the second derivative of a**7/7560 + a**6/90 + 2*a**5/5 + 13*a**4/4 + 45*a. Let d(w) be the third derivative of z(w). Factor d(r).
(r + 12)**2/3
Let u(f) be the second derivative of f**6/75 + 9*f**5/50 + 19*f**4/30 - 3*f**3/5 - 4*f**2 - 101*f + 1. Determine o so that u(o) = 0.
-5, -4, -1, 1
Let u be ((-1)/(20/(-8)))/(1/5). Let -16*n**3 - 34*n**4 + 24*n**5 - 22*n**u + 4*n + 58*n**3 - 14*n**5 = 0. What is n?
0, 2/5, 1
Suppose -5*d = -3*d + 5*v + 106, -v = -d - 60. Let w = d - -63. Find y, given that 2/9*y**w - 2/9*y**3 + 0 + 0*y + 0*y**2 + 0*y**4 = 0.
-1, 0, 1
Let g(a) = 2. Let q(x) = 40. Let h(r) = 36*g(r) - 2*q(r). Let f(c) = -c**2 - c. Let p(t) = -4*f(t) + h(t). Factor p(d).
4*(d - 1)*(d + 2)
Let t(l) = -9*l**4 - 12*l**3 + 46*l**2 - 40*l + 19. Let h(u) = -11*u**4 - 12*u**3 + 47*u**2 - 39*u + 20. Let p(g) = 4*h(g) - 5*t(g). Factor p(r).
(r - 1)**3*(r + 15)
Let h(m) = 2*m**4 - 12*m**3 - 100*m**2 + 162*m + 242. Let k(d) = d**4 + 3*d**3 - d**2 - d. Let p(v) = h(v) - 3*k(v). Factor p(o).
-(o - 2)*(o + 1)*(o + 11)**2
Let h(w) = -6*w**3 - 43*w**2 + 83*w - 48. Let b(x) = 2*x**3 + 14*x**2 - 28*x + 16. Let f(g) = -14*b(g) - 4*h(g). Factor f(q).
-4*(q - 1)**2*(q + 8)
Let -192 - 243/2*c**3 - 1008*c - 675*c**2 = 0. Calculate c.
-8/3, -2/9
Let d(c) be the third derivative of -14*c**2 + 0 + 1/15*c**5 - 1/3*c**3 + 7/24*c**4 + 0*c. Solve d(u) = 0.
-2, 1/4
Let m = 179 - 278. Let p = m - -99. Factor 0*z**4 + p + 0*z**2 - 2/7*z**5 + 0*z + 2/7*z**3.
-2*z**3*(z - 1)*(z + 1)/7
Let h(m) be the first derivative of -2/33*m**3 - 4/11*m + 3/11*m**2 - 9. Find w, given that h(w) = 0.
1, 2
Let p(g) be the first derivative of -g**4/4 + 5*g**3/2 - 6*g**2 + 2*g - 3. Let o(k) be the first derivative of p(k). Determine h, given that o(h) = 0.
1, 4
Let i(q) be the first derivative of q**8/140 - q**7/350 - 9*q**2 + 8. Let g(n) be the second derivative of i(n). Solve g(j) = 0 for j.
0, 1/4
Let q(z) = -45*z**2 + 305*z - 370. Let j(g) = 5*g**2 - 34*g + 41. Let r(m) = 3*m**3 - m**2 - m + 3. Let n be r(1). Let o(s) = n*q(s) + 35*j(s). Factor o(x).
-5*(x - 3)**2
Let g be ((1 - 0) + 0)*1. Let c(r) = -11*r**3 + 8*r**2 - r. Let l(i) = -i**3 - i**2. Let d(j) = g*l(j) + c(j). Suppose d(u) = 0. What is u?
0, 1/4, 1/3
Let y(u) be the second derivative of -u**4/9 - 26*u**3/9 - 20*u**2 - 204*u - 2. Suppose y(k) = 0. What is k?
-10, -3
Let i = -33 - -33. Suppose -7*j - 1 + 15 = i. Factor -1/4*t + 1/4*t**3 - 1/4*t**j + 1/4.
(t - 1)**2*(t + 1)/4
Let s(x) be the first derivative of 1/5*x - 1/15*x**3 + 19 + 0*x**2. Find g, given that s(g) = 0.
-1, 1
Let t(c) be the first derivative of -c**5/15 + 85*c**4/3 - 14450*c**3/3 + 1228250*c**2/3 - 52200625*c/3 + 98. Determine f so that t(f) = 0.
85
Let w(u) be the first derivative of -u**6/6 + 2*u**5/5 - u**4/4 + 728. Determine t, given that w(t) = 0.
0, 1
Suppose 2*a + 5*k = 7*k + 1520, 3800 = 5*a - 2*k. Solve 405*r**5 + a*r**3 + 20*r + 25*r**3 - 182*r**2 - 38*r**2 - 990*r**4 = 0 for r.
0, 2/9, 1
Let p = 365/1456 + -1/1456. Factor -1/4*b + 1/2 - 1/2*b**2 + p*b**3.
(b - 2)*(b - 1)*(b + 1)/4
Let k(h) be the second derivative of -h**5/4 + 85*h**4/12 - 200*h**3/3 + 160*h**2 + 18*h. Solve k(r) = 0.
1, 8
Let q be (-14)/76*(2560/(-112))/5. Let -q - 14/19*b + 2/19*b**2 = 0. Calculate b.
-1, 8
Let c(d) = -d**2 + 2*d + 29. Let v be c(6). Suppose -v*t = 99 - 119. Factor 2/3*f**2 + 6 + t*f.
2*(f + 3)**2/3
Let w(b) be the second derivative of -b**4/6 + 25*b**3/3 + 26*b**2 - 2*b - 53. Factor w(a).
-2*(a - 26)*(a + 1)
Let q(k) be the first derivative of 6*k**2 - 2*k**3 - 5 - 3/4*k**4 + 24*k. Solve q(y) = 0.
-2, 2
Let y(u) be the third derivative of -u**5/105 + 265*u**4/21 - 140450*u**3/21 + u**2 + 144*u. Factor y(w).
-4*(w - 265)**2/7
Find k, given that -18*k**2 - 17*k**3 - 5*k**4 + 27 + 27/2*k - 1/2*k**5 = 0.
-3, -2, 1
Let z be (4 - 56/12)*-216. Let u be ((-1)/4)/(-5 + 678/z). Factor 0 + 2/7*t**2 - u*t.
2*t*(t - 3)/7
Let f(k) be the first derivative of k**5/20 + 7*k**4/16 - 2*k**3/3 - 9. Determine b so that f(b) = 0.
-8, 0, 1
Let b be ((560/(-49))/(-10))/2 - (-8)/(-28). Determine a, given that -3/7*a - 1/7*a**5 - 2/7 + b*a**2 + 4/7*a**3 + 0*a**4 = 0.
-1, 1, 2
Let k = 2356 - 127219/54. Let y(i) be the second derivative of 4*i + 1/135*i**6 + 2/27*i**3 + 2/45*i**5 + k*i**4 + 0*i**2 + 0. Let y(x) = 0. Calculate x.
-2, -1, 0
Let h(z) be the first derivative of -121*z**4/4 + 374*z**3/3 - 150*z**2 + 72*z - 204. Factor h(f).
-(f - 2)*(11*f - 6)**2
Let u(v) be the third derivative of v**6/540 + v**5/27 + 25*v**4/108 + 23*v**2 - 2. Let u(x) = 0. What is x?
-5, 0
Let o(i) = 2*i**2 - 88*i + 8. Let f(r) = 2*r**2 - 86*r + 6. Let m(g) = -4*f(g) + 3*o(g). Determine y so that m(y) = 0.
0, 40
Let k(h) be the first derivative of h**4/4 + 4*h**3 + 24*h**2 - 2*h - 11. Let d(l) be the first derivative of k(l). Determine z so t