*4/9 - 74*j**3/3 + 72*j**2 - 3*j. Factor c(n).
4*(n - 111)*(n + 1)/3
Let c be 408/84 + -4 + (-178)/224. Let m(d) be the second derivative of -1/8*d**2 + 1/160*d**5 + 0*d**4 - c*d**3 + 0 + d. Solve m(i) = 0.
-1, 2
Let c(p) = 24*p**3 - 581*p**2 - 82944*p + 5. Let o(k) = 43*k**3 - 1161*k**2 - 165888*k + 9. Let r(u) = -9*c(u) + 5*o(u). Factor r(a).
-a*(a + 288)**2
Let q(v) be the second derivative of -v**6/50 - 21*v**5/100 - v**4/20 + 27*v**3/10 - 27*v**2/5 + 1407*v. Solve q(s) = 0.
-6, -3, 1
Let x = 771 + -769. Suppose 3*v + x = 10*f - 12*f, 20 = -5*v. Let 1/2*p + p**2 + 1/2*p**f - 1/2*p**4 - 1/2 - p**3 = 0. What is p?
-1, 1
Suppose -9*s - 165 = -156. Let b(h) = 5*h**2 + 239*h + 2881. Let v(w) = -w + 1. Let a(z) = s*b(z) + v(z). Solve a(r) = 0 for r.
-24
Let f(o) be the first derivative of -5*o**6/6 - 77*o**5 - 6815*o**4/4 + 22805*o**3/3 - 11800*o**2 + 8000*o + 679. Suppose f(g) = 0. What is g?
-40, 1
Suppose 4*t = a - 16, -t = -19 + 22. Let y(s) be the first derivative of -8 - s**a - s**2 - 10/3*s**3 + 4*s. Solve y(g) = 0 for g.
-2, -1, 1/2
Let n(q) be the second derivative of -3/80*q**5 + 2*q - 3/2*q**2 - 1/8*q**4 + 32 + 7/8*q**3. Find w such that n(w) = 0.
-4, 1
Let k(z) be the third derivative of -z**7/7140 - 7*z**6/3060 - z**5/170 - 67*z**3/6 - 2*z**2 + 2. Let l(m) be the first derivative of k(m). Factor l(p).
-2*p*(p + 1)*(p + 6)/17
Let n(h) = -29*h**3 - 152*h**2 + 100*h + 9. Let j(v) = -230*v**3 - 1215*v**2 + 800*v + 75. Let t(w) = 3*j(w) - 25*n(w). Suppose t(m) = 0. What is m?
-5, 0, 4/7
Let x = 537650 + -5914048/11. Factor -6/11*l**3 - 96/11*l**2 + x*l + 0.
-6*l*(l - 1)*(l + 17)/11
Factor -14/5*a**2 + 3/5*a**3 + 8 + 1/5*a**4 - 12/5*a.
(a - 2)**2*(a + 2)*(a + 5)/5
Factor -2/3*g**2 - 195938/3 - 1252/3*g.
-2*(g + 313)**2/3
Let s(z) be the first derivative of -5/4*z**3 + 0*z - 139 - 1/20*z**5 - 9/16*z**4 + 25/8*z**2. What is n in s(n) = 0?
-5, 0, 1
Suppose -5*w + 114 = 4*u, -5*w - 74 = -2*u - 2. Factor 3*d**4 - 61*d**2 - 14*d**3 + 11*d**2 + 2*d**4 - u*d**3.
5*d**2*(d - 10)*(d + 1)
Let u = 385 - 381. Let -u*d**2 + 0*d - 12*d + 10*d = 0. What is d?
-1/2, 0
Let y(x) be the second derivative of -7*x**5/4 - 935*x**4/12 - 2945*x**3/3 + 880*x**2 - 1351*x - 2. Factor y(t).
-5*(t + 11)*(t + 16)*(7*t - 2)
Suppose 5*s + 4*c = -10, -38*s + 41*s + 5*c = -19. Let y(n) be the second derivative of 5/6*n**3 + 0 + 15*n**4 + 10*n - 5*n**s. Let y(b) = 0. What is b?
-1/4, 2/9
Let k(d) = 1. Let m(b) = -b - 11. Let a(f) = -6*k(f) - m(f). Let c be a(5). Solve -33*x - c + 14*x + 15*x**2 - 6*x = 0.
-1/3, 2
Let z(h) be the third derivative of -1/70*h**7 + 0 - 14*h**2 + 1/5*h**6 + 7/2*h**4 + 6*h - 23/20*h**5 - 6*h**3. Find r, given that z(r) = 0.
1, 2, 3
Suppose -5*r + 26 = 3*g, 3*r + 0*g - 24 = g. Solve -6 + r*d**2 - 33*d - d**3 - 3*d**2 + 22*d + 10*d = 0 for d.
-1, 2, 3
Let w(g) be the third derivative of -g**6/40 + 97*g**5/10 - 191*g**4/8 - 193*g**3 - 3*g**2 + 272*g. Factor w(i).
-3*(i - 193)*(i - 2)*(i + 1)
Suppose 0*f = -2*f + 4. Find o such that 3*o**3 - 6*o**f - 3*o**3 + 20*o**3 + 14*o**2 = 0.
-2/5, 0
Let -1/3*y**4 + 28/3*y**2 - 298/3*y + 10/3*y**3 - 105 = 0. Calculate y.
-5, -1, 7, 9
Let t(l) be the second derivative of -3*l**5/20 - 333*l**4/4 - 13944*l**3 - 41334*l**2 + 167*l + 2. Solve t(o) = 0.
-166, -1
Let k(w) = -17*w**3 - 379*w**2 + 554*w. Let a(n) = 7*n**3 + 129*n**2 - 184*n. Let u(g) = 8*a(g) + 3*k(g). Factor u(o).
5*o*(o - 19)*(o - 2)
Let j(f) = f**2 - f - 1. Let r(v) = 10*v**2 + 75*v + 235. Let m(d) = 5*j(d) - r(d). What is p in m(p) = 0?
-12, -4
Let m be -3 + (-174)/(-18) + (-2641)/556 + (-1)/4. What is h in -10/3*h**3 + 5/3*h**2 + 0 + 10/3*h - m*h**4 = 0?
-2, -1, 0, 1
Suppose -4*i + 8 = -2*u, -2*i + 8 = 2*i + u. Let o(f) be the first derivative of 1/24*f**4 + 0*f**3 - 10 + 0*f**i + 0*f. Factor o(p).
p**3/6
Factor 51/2*n + 1/2*n**3 + 8*n**2 + 18.
(n + 1)*(n + 3)*(n + 12)/2
Let t = -1490285/4 - -372572. Find h such that -15*h - 57/4 - t*h**2 = 0.
-19, -1
Let x(h) = -1929*h + 30. Let g be x(0). Factor 70*d - g + 35/2*d**2 - 25/2*d**3.
-5*(d - 3)*(d + 2)*(5*d - 2)/2
Let t(a) be the second derivative of -1 + 16/3*a**3 + 11/2*a**2 - 1/30*a**6 + 5/2*a**4 + 2/5*a**5 - a. Find h such that t(h) = 0.
-1, 11
Let i(y) be the second derivative of y**3 + 1/48*y**4 + 2*y + 25 + 23/8*y**2. Suppose i(x) = 0. What is x?
-23, -1
Let a(i) be the first derivative of i**4/20 - 14*i**3/15 + 24*i**2/5 + 248. Factor a(t).
t*(t - 8)*(t - 6)/5
Let x(f) = 18*f + 102. Let i be x(11). Factor 240*o**3 - 289*o**4 + 541*o**4 + 3*o**5 + i*o**2 - 309*o**4.
3*o**2*(o - 10)**2*(o + 1)
Let x(l) = 336*l - 2686. Let h be x(8). Let g(r) be the second derivative of 1/18*r**4 + 0 + 5/3*r**h - 2/3*r**3 + 49*r. Solve g(s) = 0 for s.
1, 5
Find i, given that -55*i - 427*i - 11*i - 680 + 4*i**2 - 183*i = 0.
-1, 170
Suppose -20 = -3*b - 4*t, 60*b - 5*t = 63*b - 16. Factor -57*f**3 + 73*f**3 + 50*f**2 + 2*f**2 + b*f.
4*f*(f + 3)*(4*f + 1)
Let -130/3*y**2 - 16/3*y**5 + 4310/9*y**3 - 344/9 + 1964/9*y**4 - 1712/9*y = 0. What is y?
-2, -1/2, -1/4, 2/3, 43
Let v(q) = 14*q**3 - 4*q**2 + 10*q + 4. Let g(y) = -39*y**3 + 11*y**2 - 27*y - 11. Let s(z) = -4*g(z) - 11*v(z). Factor s(c).
2*c*(c - 1)*(c + 1)
Let a = 310815/118 - 2634. Let l = a + 1401/590. Determine t, given that -l*t**2 + 1/5*t**5 - 2/5*t**3 + 0 + 3/5*t**4 - 8/5*t = 0.
-2, -1, 0, 2
Let w(a) be the second derivative of -a**5/60 - 11*a**4/6 - 181*a**2/2 - 141*a. Let s(b) be the first derivative of w(b). Let s(h) = 0. What is h?
-44, 0
Suppose -12 = s + 5*l, -l + 5*l = 2*s - 18. Solve -28*j**4 - 44*j**2 - 20*j + 35*j**s + 84*j**2 + 3*j**4 = 0 for j.
-1, 0, 2/5, 2
Let o(x) be the first derivative of -x**6/9 - 68*x**5/15 - 62*x**4/3 - 80*x**3/3 + 2510. Determine j, given that o(j) = 0.
-30, -2, 0
Let z(m) be the first derivative of 320 + 0*m + m**3 - m**2 + 3/4*m**4 - 2/5*m**5. Factor z(n).
-n*(n - 2)*(n + 1)*(2*n - 1)
Suppose 0*g = 35*g - 70. Factor -3 + 3*o - o + 5*o + 6 - 3*o + o**g.
(o + 1)*(o + 3)
Let a(j) be the first derivative of -3*j**4/4 + 1115*j**3 - 927381*j**2/2 - 2812329*j + 9148. Find i such that a(i) = 0.
-3, 559
Let h be (6/8)/(2/(-4)*(-32)/64). Let b(o) be the third derivative of 0 + 0*o + h*o**2 + 0*o**3 + 0*o**4 + 1/15*o**5 + 1/30*o**6. Factor b(p).
4*p**2*(p + 1)
Factor 62/17*y - 260/17 - 2/17*y**2.
-2*(y - 26)*(y - 5)/17
Let j(v) = 4*v**2 - 10*v + 3. Let d = 77 - 73. Let t be j(d). Determine o so that 152 - t*o**2 - o**3 + 7*o**3 + 21*o - 134 = 0.
-1/2, 2, 3
Let k = -479287 + 2396443/5. Let 0 - 4/5*a**5 + 12/5*a**3 + k*a**4 + 16/5*a - 32/5*a**2 = 0. What is a?
-2, 0, 1, 2
Let r(p) be the third derivative of -1/18*p**4 + 0*p**3 + 3 + 0*p + 4*p**2 - 1/90*p**5. Suppose r(i) = 0. What is i?
-2, 0
Let n be (9 + 1173/(-161))*4/(-176)*-42. Factor 48/11*k - 32/11 - n*k**2 + 2/11*k**3.
2*(k - 4)**2*(k - 1)/11
Solve -26*i - 66/5 + 4/5*i**2 = 0.
-1/2, 33
Let s(l) be the second derivative of l**7/210 - 11*l**6/45 + 14*l**5/3 - 100*l**4/3 + 59*l**3/6 - 5*l. Let k(o) be the second derivative of s(o). Factor k(w).
4*(w - 10)**2*(w - 2)
Let l = 191212 - 573634/3. Factor 2*u**2 + 0 + 56/3*u**3 - l*u.
2*u*(4*u + 1)*(7*u - 1)/3
Let g be (-8)/312*-13*0. Let a(i) be the second derivative of 2/3*i**4 + 0 + 0*i**3 + 3*i - 1/5*i**5 + g*i**2. Find y, given that a(y) = 0.
0, 2
Suppose -52*u = -48*u - 8. Let -11 + 309 + 6*h**2 - 42 + 64*h - 2*h**u = 0. What is h?
-8
Let a(q) be the first derivative of q**5 - 625*q**4/4 - 5*q**3 + 1865*q**2/2 + 1250*q + 470. Determine u so that a(u) = 0.
-1, 2, 125
Let c(w) be the third derivative of -w**5/390 + 337*w**4/78 - 113569*w**3/39 + 110*w**2. What is v in c(v) = 0?
337
Let x(b) = -b**3 - 8*b**2 - 21*b - 8. Let z(j) = -1 + 167*j - 2*j**2 + j**3 - 166*j + 2*j**2. Let o(r) = -x(r) - 2*z(r). Let o(l) = 0. Calculate l.
-1, 10
Factor 1/8*u**2 - 19*u + 151/8.
(u - 151)*(u - 1)/8
Let g(q) be the first derivative of -5*q**4/4 - 20*q**3 + 615*q**2/2 - 950*q - 10911. Factor g(a).
-5*(a - 5)*(a - 2)*(a + 19)
Let r(a) be the third derivative of a**7/70 - 888*a**6/5 + 4731264*a**5/5 - 2800908288*a**4 + 4974413119488*a**3 + 2565*a**2. What is v in r(v) = 0?
1776
Let l = -67898 + 475336/7. Factor 52/7 - l*p - 2/7*p**2.
-2*(p - 1)*(p + 26)/7
Let g(x) be the third derivative of x**5/150 + 84*x**4/5 + 84672*x**3/5 - 1250*x**2.