 1)**2/5
Let u(f) = 3*f. Let g be u(14). Suppose -5*b - 2*p + g = p, 4*b + 2*p = 32. Factor -5*x**2 - 5*x**3 - 3*x**2 - b*x**2 + 4*x**2.
-5*x**2*(x + 2)
Let s(n) be the first derivative of n**9/18144 + n**8/10080 - 41*n**3/3 - 8. Let j(z) be the third derivative of s(z). What is g in j(g) = 0?
-1, 0
Let u(c) be the first derivative of -c**4/11 + c**3/33 + c**2/2 + 6*c/11 + 81. Determine l so that u(l) = 0.
-1, -3/4, 2
Factor -2 + z**4 - 1 + 80*z**2 - 1067*z + 1167*z - 19*z**3 + 3.
z*(z - 10)**2*(z + 1)
Solve 2/13*b**2 - 2/13 + 0*b = 0 for b.
-1, 1
Let q(u) be the third derivative of -u**5/20 + 17*u**4/8 - 8*u**3 + 170*u**2 + 1. Find t, given that q(t) = 0.
1, 16
Factor -9/2*q**3 + 3 + 15/2*q - 6*q**2.
-3*(q - 1)*(q + 2)*(3*q + 1)/2
Find k such that 10/3*k**3 - 484/3 + 72*k**2 + 374*k = 0.
-11, 2/5
Let w be -37 + 35 - (3 + (-81)/15). Factor w*l - 3/5 + 1/5*l**2.
(l - 1)*(l + 3)/5
Let y(f) be the third derivative of -f**5/60 + f**4/8 - f**3/3 + 120*f**2. Find r, given that y(r) = 0.
1, 2
Let y = -852 + 10225/12. Let z(s) be the third derivative of 0*s**4 + 0*s + 8*s**2 + 0*s**3 + 0 + y*s**5. Factor z(h).
5*h**2
Let d = -1684 - -1688. Let b(u) be the second derivative of 12*u + 0*u**2 - 1/6*u**3 - 1/10*u**5 + 5/24*u**d + 1/60*u**6 + 0. Factor b(g).
g*(g - 2)*(g - 1)**2/2
Let s(g) = 9*g**2 - 2*g - 23. Let n(i) = i**2 - 3. Let d(v) = -24*n(v) + 3*s(v). Suppose d(z) = 0. Calculate z.
1
Suppose -r = 4*o - 0 + 10, -2*o = 3*r. Factor 2*l + 400 - 399 - r*l**3 - 2*l**4 + l**4.
-(l - 1)*(l + 1)**3
Let g(n) be the third derivative of -n**7/1050 + n**6/600 + 7*n**5/300 - 13*n**4/120 + n**3/5 - 7*n**2 + 32. Factor g(s).
-(s - 2)*(s - 1)**2*(s + 3)/5
Let q(h) = 9*h**4 - 78*h**3 + 321*h**2 + 2427*h + 2022. Let b(j) = 11*j**4 - 78*j**3 + 320*j**2 + 2426*j + 2021. Let i(f) = 3*b(f) - 4*q(f). Factor i(k).
-3*(k - 15)**2*(k + 1)*(k + 3)
Suppose -b - 2*b - 33 = -5*i, -4*b + 16 = 0. Let q(t) be the second derivative of -i*t - 5/8*t**3 + 3/40*t**5 + 0 + 3/4*t**2 + 1/16*t**4. Factor q(a).
3*(a - 1)*(a + 2)*(2*a - 1)/4
Let y = 49/26 + -3961/1274. Let j = 3669/245 - y. Find a such that -1/5*a**4 - 12/5*a**3 - 54/5*a**2 - 108/5*a - j = 0.
-3
Let s(k) = -25*k**5 + 85*k**4 - 175*k**3 + 115*k**2 + 10*k - 10. Let c(y) = -y**5 - y**3 + y + 1. Let d(w) = -10*c(w) + s(w). Let d(q) = 0. What is q?
-1/3, 1, 2
Let r = -78 - -80. Factor 20*g**4 + 5*g + 3*g**r - 25*g**3 - 5*g**5 - 5*g + 7*g**2.
-5*g**2*(g - 2)*(g - 1)**2
Let q(o) be the third derivative of o**7/1260 + o**6/36 + 5*o**5/12 + 7*o**4/24 + 16*o**2. Let s(z) be the second derivative of q(z). Factor s(j).
2*(j + 5)**2
Let j = 161 + -159. Let d(x) be the third derivative of -1/8*x**4 + 1/30*x**6 - 1/336*x**8 - j*x**2 + 0 + 0*x + 0*x**7 - 1/30*x**5 + 1/3*x**3. Factor d(g).
-(g - 1)**3*(g + 1)*(g + 2)
Let a(c) be the second derivative of -c**4/3 + 10*c**3 + 32*c**2 + 162*c. Factor a(v).
-4*(v - 16)*(v + 1)
Let h(k) = -k**2 - 8*k - 8. Let n be h(-4). Factor n*r**2 - 1 + 125*r**3 - 129*r**3 + 1.
-4*r**2*(r - 2)
Let w(f) = -2*f**4 - f**3 + f**2 + f + 1. Let h(o) = 45*o**4 - 25*o**3 - 425*o**2 - 675*o - 320. Let y(t) = h(t) + 20*w(t). Find r, given that y(r) = 0.
-4, -1, 15
Let b(w) = -2*w**3 - 54*w**2 + 174*w + 18. Let n(z) = 6*z**3 + 162*z**2 - 523*z - 51. Let r(p) = 17*b(p) + 6*n(p). Let r(f) = 0. What is f?
-30, 0, 3
Let k(o) be the second derivative of o**4/84 - 5*o**3/42 - 3*o**2/7 - 144*o. Determine n so that k(n) = 0.
-1, 6
Let r(i) = -i + 20. Let g be r(8). Let -3*q**2 + 7*q + 5*q + 6*q**2 + g = 0. What is q?
-2
Let a = -61 + 65. Let h(j) = -j**2 + 13*j - 4. Let z be h(a). Factor 40/3*n**3 + z*n + 32/3 + 2*n**4 + 32*n**2.
2*(n + 2)**3*(3*n + 2)/3
Let b = -619 + 622. Let f(a) be the first derivative of -1/3*a**b - 11 - 1/2*a**2 + 2*a. Factor f(v).
-(v - 1)*(v + 2)
Factor 0 + 1/2*f**5 - 5*f**2 + 6*f**3 - 3*f**4 + 3/2*f.
f*(f - 3)*(f - 1)**3/2
Find n, given that -6/7*n**3 + 0*n**2 - 3/7*n**5 + 0*n - 9/7*n**4 + 0 = 0.
-2, -1, 0
Let k(l) = l**3 - l**2 - l. Let c(x) = 2 - 4 + 9*x - 9*x**3 - 16*x**2 + 26*x**2. Let t(v) = -3*c(v) - 24*k(v). Factor t(y).
3*(y - 2)*(y - 1)*(y + 1)
What is p in 3*p**2 - 74*p**5 - 76*p**5 + p**4 + 151*p**5 - 5*p**3 = 0?
-3, 0, 1
Let r(l) be the third derivative of -49/108*l**4 + 2 + 40*l**2 + 0*l**3 - 1/540*l**6 + 0*l + 7/135*l**5. Factor r(h).
-2*h*(h - 7)**2/9
Factor 3*o**4 - 2/3*o**2 - 20/3*o - 8/3 + 7*o**3.
(o - 1)*(o + 2)*(3*o + 2)**2/3
Let o = 31 - 19. Let x = 78 - 75. Suppose o*d**4 - 17*d**2 + 5*d**2 - 52*d**x + 64*d - 14*d**4 - 14*d**4 + 16 = 0. What is d?
-2, -1/4, 1
Let b(z) = -3*z**2 + 15*z + 43. Let i be b(13). Let f = i + 539/2. Factor -1/2*u + f*u**3 + 0*u**2 + 1/4 - 1/4*u**4.
-(u - 1)**3*(u + 1)/4
Let d = -48 + 82. Suppose -2*i = -d + 2. Factor 8*h**2 - 6*h**2 - 2*h**2 - i*h - 4*h**2.
-4*h*(h + 4)
Let o be (-228)/(-39) - (-4 - (-150)/39). Let s(h) = 3*h**2. Let l(g) = -6*g**2 + g. Let b(x) = o*l(x) + 13*s(x). Let b(a) = 0. Calculate a.
-2, 0
Let j be ((-25)/9 - -6)/((-10)/12). Let t = -16/5 - j. Find h, given that t*h - 2/9*h**2 - 4/9 = 0.
1, 2
Find t, given that -26*t**3 - 114/5*t**2 + 24 + 2/5*t**5 + 128/5*t - 6/5*t**4 = 0.
-6, -1, 1, 10
Let z(w) = -w**2 - 13*w - 1. Let y be z(-14). Let b = 19 + y. Factor -b*l - 25*l + 25*l**4 - 20*l**2 + 5*l**5 - 11*l + 25*l**3 + 5*l**3.
5*l*(l - 1)*(l + 2)**3
Suppose -5*a - 36 = -8*a. Suppose 3*l + a = -l. Let r(o) = 5*o**2 + 20*o + 23. Let c(j) = 1. Let m(z) = l*c(z) + r(z). Factor m(h).
5*(h + 2)**2
Let d(f) = 2*f**2 - 2*f - 2. Let q(r) = -r**4 - 4*r**2 + 5*r + 5. Let a = 18 - 16. Let u(x) = a*q(x) + 5*d(x). Factor u(t).
-2*t**2*(t - 1)*(t + 1)
Suppose -4*j - 2*p - 274 = 0, -335 = 5*j + 5*p + 20. Let i = j - -69. Factor 0*n**2 + 2*n - 2/3*n**i + 4/3.
-2*(n - 2)*(n + 1)**2/3
Let x = -89 + 91. Suppose -5 = q - 7, 4*b = -x*q + 16. What is k in 0 + 2/11*k**4 - 6/11*k**2 + 0*k**b + 4/11*k = 0?
-2, 0, 1
Factor 14*k - 36*k + 26*k + 8 - 4*k**2.
-4*(k - 2)*(k + 1)
Let t(q) = 5*q + 3. Let k be t(-9). Let i be (-20)/(-6)*k/(-28). Solve -3*y**4 + 3*y**5 + i*y**4 - 2*y**5 - 3*y**4 = 0 for y.
0, 1
Factor 4*g**3 + 19*g**2 + 14*g**2 - 96*g - 5*g**2 + 11 + 0*g**2 - 731.
4*(g - 5)*(g + 6)**2
Suppose 3*q + 9 = -3. Let j = 12 - q. Let 20*o**3 - j*o - 23 - 2*o**3 + 15 + 6*o**2 = 0. Calculate o.
-2/3, 1
Factor 27*r - 9/4*r**4 + 27 - 23/4*r**3 + 9/4*r**2 - 1/4*r**5.
-(r - 2)*(r + 2)*(r + 3)**3/4
Let m(p) = -4*p**3 + 5*p**2 - 7*p - 7. Let y(i) = -2*i**3 + 2*i**2 - 3*i - 3. Suppose 2*w + 14 = 3*w. Let r(u) = w*y(u) - 6*m(u). Factor r(s).
-2*s**2*(2*s + 1)
Let c be 2 - -1 - (4 - 218/(-6)). Let o = -37 - c. Determine s so that -2/3*s**3 + 1/3*s**2 + 2/3*s - o = 0.
-1, 1/2, 1
Let 4/5*x**3 - 44/5*x**2 + 76/5*x - 36/5 = 0. What is x?
1, 9
Suppose -43*f + 222*f = -370*f + 1098. Determine g so that 3/4*g**3 - 3/2*g**4 + 33/4*g + 33/4*g**f + 9/4 = 0.
-1, -1/2, 3
Let d = -1 + 3. Let -d*a**2 + 1 + 0*a**2 - 3 + 4*a**2 = 0. What is a?
-1, 1
Suppose 8*m - 27123 - 34837 = 0. Factor z**3 + 7745 - z**2 - m.
z**2*(z - 1)
Let s(b) = 10*b. Let l be s(5). Let q be l/10 + 0 + -3. Factor -36*h**3 + 13*h**2 - 8*h + 15*h**q + 20*h**4 + 26*h**5 - 30*h**5.
-4*h*(h - 2)*(h - 1)**3
Let q(k) = -3*k**2 + 12*k - 34. Let v(r) = r**2 - 1. Let c(m) = -5*q(m) - 10*v(m). Factor c(b).
5*(b - 6)**2
Suppose 0 = -5*d + 11*d. Let l(h) be the first derivative of 1/22*h**4 - 1 + d*h**3 + 0*h + 0*h**5 - 1/33*h**6 + 0*h**2. Factor l(y).
-2*y**3*(y - 1)*(y + 1)/11
Let u(x) be the third derivative of 15*x**2 - 1/2*x**3 + 0*x + 0 - 1/4*x**4 - 1/20*x**5. Factor u(m).
-3*(m + 1)**2
Let u be 4065/(-9) + 3 + -1 + 1. Let m = u + 454. Let -16/3 - m*h - 4/3*h**2 = 0. Calculate h.
-2
Let u(l) be the second derivative of -l**4/4 - 5*l**3 - 63*l**2/2 - 2*l - 21. Determine h so that u(h) = 0.
-7, -3
Suppose 3 = h - u, -3*h + 4*u - 175 + 185 = 0. Let 0*y**h - 9/2*y**4 + 0*y - 3/2*y**3 + 0 = 0. Calculate y.
-1/3, 0
Suppose 4*u = 5*h + 246, -4*u + h = 2*h - 258. Let r be (u/48)/(2/12). What is d in d**4 + 2 + 21/2*d**2 + r*d + 11/2*d**3 = 0?
-2, -1, -1/2
Let z = -61 - -63. Suppose 0 = z*x - 3*x + 5*h + 5, 0 = 5*x + 3*h + 3. Find i, given that x*i**2 + 2/5*i**4 + 0 - 4/5*i**3 + 0*i = 0.
0, 2
Let b(f) = 3*f - 21. Let m be b(8). Suppose 3*k = -q + m, q - k = 6*q - 57. Let 21/2*v**2 - q*v + 2 + 49/2*v**3 = 0. What is v?
-1, 2/7
