4619/60 - -77. Let w(o) be the third derivative of 0 + 4/9*o**3 + 1/3*o**4 - 3*o**2 + g*o**6 + 0*o + 11/90*o**5. Find p such that w(p) = 0.
-2, -1, -2/3
Let x(c) = c**2 - 3*c + 1. Let w be x(4). Suppose 4*l - 12 = 0, 2*o - 6*o - 3 = -w*l. Find k such that -27 - 9*k**3 - 9*k**2 - 23*k - 4*k + 8*k**o = 0.
-3
Let p(n) = 11*n**3 + 152*n**2 + 932*n - 4341. Let t(v) = 20*v**3 + 305*v**2 + 1865*v - 8680. Let j(d) = 5*p(d) - 3*t(d). Let j(f) = 0. Calculate f.
-17, 3
Let x(a) be the second derivative of a**7/56 + a**6/20 - a**4/8 - a**3/8 - 341*a. Let x(f) = 0. What is f?
-1, 0, 1
Let x(c) = 9*c**4 + 4*c**3 + 10*c**2 - 12*c + 11. Let p(a) = -5*a**4 - 2*a**3 - 5*a**2 + 6*a - 6. Let l(z) = 11*p(z) + 6*x(z). What is b in l(b) = 0?
-2, 0, 1, 3
Let n = -9 - -14. Solve 44*s**3 - 16*s**5 - 8 - 2*s**2 + n*s**2 - 11*s**2 - 28*s + 16*s**4 = 0 for s.
-1, -1/2, 1, 2
Let j(q) = q**3 + q**2 + q - 1. Let u(y) = -7*y**3 - 25*y**2 + 8*y + 8. Let t(c) = 24*j(c) + 3*u(c). Factor t(l).
3*l*(l - 16)*(l - 1)
Let z be 7/(-60) + 36/180. Let u(d) be the second derivative of 3*d - 1/2*d**2 - 1/3*d**3 + 0 - z*d**4. Solve u(a) = 0 for a.
-1
Let j = 174 + -172. Let h(t) be the first derivative of 0*t**4 + 1 + j*t**5 + 0*t + 5/2*t**2 - 10/3*t**3 - 5/6*t**6. Solve h(g) = 0.
-1, 0, 1
Let l = -96186199/340 + 282901. Let q = l - 1/68. Let -q*m**2 + 0 + 2/5*m = 0. What is m?
0, 1
Let l be (-2)/15*3*-5. Let f(t) be the first derivative of 0 + l*t**4 - 4*t**3 + 3 - 3*t**4 - 4*t**2 + 1. Factor f(b).
-4*b*(b + 1)*(b + 2)
Let k(o) = -5 - 3*o**2 - 3*o**2 - 16*o**3 + 13*o**2 + 17*o**2 - 12*o. Let d(s) = 8*s**3 - 12*s**2 + 6*s + 3. Let r(l) = 7*d(l) + 4*k(l). Factor r(c).
-(2*c - 1)**3
Factor -2/21*o**3 - 6/7*o**2 + 128/3 + 32/7*o.
-2*(o - 7)*(o + 8)**2/21
Let c(n) be the first derivative of -3*n**5/5 - 9*n**4/2 - 9*n**3 - 6*n**2 - 94. Find x such that c(x) = 0.
-4, -1, 0
Suppose 4 = 2*q + 4*i, -2*i - 14 = -5*q - 4. Suppose -5*z = s - 12, 2*s + 2*s = 3*z + q. Factor -5/2*m**s + 1/2*m**3 + 4*m - 2.
(m - 2)**2*(m - 1)/2
Let p(y) = -y**3 - 15*y**2 - 28*y - 21. Let b be p(-13). Suppose -n = 2 - b. What is w in 0 - 3/2*w**n + w**2 + 1/2*w = 0?
-1/3, 0, 1
Let o(z) = z**2 + 2*z - 19. Let d(b) = b**2 + 2*b - 15. Let c(h) = -4*d(h) + 3*o(h). Factor c(u).
-(u - 1)*(u + 3)
Let m(d) = -2*d**5 - d**3 + d**2 - 2*d - 1. Let l(p) = -7*p**5 + 4*p**4 - 2*p**3 - 13*p**2 + 6*p - 3. Let b(s) = -l(s) + 3*m(s). Let b(q) = 0. What is q?
-2, 0, 1, 2, 3
Let j(m) be the second derivative of m**6/30 + 7*m**5/20 + 3*m**4/2 + 10*m**3/3 + 4*m**2 + 191*m. Factor j(p).
(p + 1)*(p + 2)**3
Let f = 4 - 0. Factor 20*k - 5*k**4 + 9 + 2*k**f - 6*k + 10*k + 18*k**2.
-3*(k - 3)*(k + 1)**3
Suppose -r = -27 + 24. Suppose -20*d**2 + 5*d**5 - 8*d + 4*d**4 - d**5 - 52*d**3 + 40*d**r = 0. What is d?
-1, 0, 2
Let m be 20/6*38/95. Let a be 25/15*2/5. Find p, given that -a*p**2 - 2*p - m = 0.
-2, -1
Let k(s) be the first derivative of -3*s**4/4 - 4*s**3 - 3*s**2/2 + 18*s + 121. Factor k(m).
-3*(m - 1)*(m + 2)*(m + 3)
Let a(r) be the third derivative of r**7/70 - 3*r**6/70 - 8*r**5/35 + 6*r**4/7 + 8*r**3/7 + 6*r**2 + 2*r. Determine n, given that a(n) = 0.
-2, -2/7, 2
Let j(d) = -d - 1. Let y be j(-3). Suppose 10 = t - 6*r + y*r, 2*r = -2*t. Let q**2 - 2*q**t - 6*q + 8*q = 0. What is q?
0, 2
Let i(t) be the third derivative of -t**8/504 + 2*t**7/315 + t**6/60 - 2*t**5/45 - t**4/9 + 169*t**2. Solve i(v) = 0 for v.
-1, 0, 2
Let h = 7 + -27. Let z(w) = 35*w**4 + 50*w**3 + 20*w - 20. Let u(t) = 5*t**4 + 7*t**3 + 3*t - 3. Let n(r) = h*u(r) + 3*z(r). Factor n(b).
5*b**3*(b + 2)
Let r be (76/171)/(2/9). Let -8*s**3 - 3*s**3 + 7*s**3 - 4*s**r + 8*s = 0. Calculate s.
-2, 0, 1
Let l = 16 - 4. Let w(n) be the first derivative of -3 + n**3 + l + 0*n**2 - 6*n**2. Find d, given that w(d) = 0.
0, 4
Suppose 4*a - 2*w = -2, 2*w - 5 = -a + 7. Factor 3*z**3 + 5 - a*z**2 - z**3 - 5.
2*z**2*(z - 1)
Let j be (-2)/(-4) - (-2)/((-4)/(-57)). Suppose 5*f + j = 49. Factor -21/5*x**5 - 48/5*x**f - 33/5*x**3 - 6/5*x**2 + 0 + 0*x.
-3*x**2*(x + 1)**2*(7*x + 2)/5
Let b(x) be the second derivative of -5*x**4/9 - 4*x**3 - 6*x**2 - x + 47. Determine d so that b(d) = 0.
-3, -3/5
Factor 742*v + 20*v**2 - 1489*v + 5*v**3 + 742*v - 20.
5*(v - 1)*(v + 1)*(v + 4)
Let x = -1/420 + 1/140. Let i(n) be the third derivative of 0*n + 0*n**3 + 0*n**4 - x*n**5 + 0 - 2*n**2 - 1/840*n**6. Let i(r) = 0. What is r?
-2, 0
Let c(d) = -4*d**2 + 120*d + 590. Let k(p) = 2*p - 26*p**2 + 55*p**2 - 30*p**2 + 38*p + 197. Let h(i) = -6*c(i) + 20*k(i). Factor h(o).
4*(o + 10)**2
Let q(i) be the first derivative of i**5/10 - 3*i**4/4 - 3*i**3/2 + 7*i**2/2 - 253. Suppose q(w) = 0. What is w?
-2, 0, 1, 7
Let t(i) be the first derivative of -i**7/42 + i**5/20 - 10*i + 20. Let p(z) be the first derivative of t(z). Factor p(g).
-g**3*(g - 1)*(g + 1)
Let d be 0*(-3)/6 - -2. Suppose -12*h + 8*h = 6*h - 30. Factor 0 + 2*i**h + 1/2*i + d*i**2.
i*(2*i + 1)**2/2
Let a = -44390 - -44390. Factor 1/4*s**3 - s + 0 + a*s**2.
s*(s - 2)*(s + 2)/4
Find f, given that -8/9*f + 2/9*f**2 + 0 = 0.
0, 4
Let 559 - 110*u**2 - 1208 + 5*u**3 - 851 + 577*u + 148*u = 0. What is u?
5, 12
Let w(j) be the third derivative of 0*j**3 + 7*j**2 - 1/75*j**5 - 1/15*j**4 + 1/150*j**6 + 0 + 0*j. Determine h so that w(h) = 0.
-1, 0, 2
Suppose -4*o - z = -11, -1 = 3*z - 2*z. Factor -o*q**3 + 2*q**2 + 3*q - 3*q**4 + 4*q**2 - 3*q**2.
-3*q*(q - 1)*(q + 1)**2
Let a(s) = 5*s**2 - 96*s - 579. Let p(j) = -2*j**2 + 96*j + 578. Let m(k) = 2*a(k) + 3*p(k). Suppose m(w) = 0. Calculate w.
-12
Let a(w) be the third derivative of -w**5/180 + 14*w**4/9 - 1568*w**3/9 + 112*w**2. Solve a(b) = 0.
56
Let i(h) = -2*h + 2. Let d be i(0). Factor 4*j - 4*j**3 + 0*j + 8*j**d - 9*j + j.
-4*j*(j - 1)**2
Factor 2/3*j**3 - 16/3*j**2 + 22/3*j + 40/3.
2*(j - 5)*(j - 4)*(j + 1)/3
Let a = 4131/2 - 2065. Factor 0*i**3 + i + 0 + a*i**4 - 3/2*i**2.
i*(i - 1)**2*(i + 2)/2
Suppose 7*o + 7*o + 1386 = 0. Let k = o + 102. Factor -1/5*v**k - 1/5*v + 0 + 2/5*v**2.
-v*(v - 1)**2/5
Let a = 15929/54 + -295. Let q = a + 19/54. Suppose 0*w + 0*w**3 + 0 + q*w**2 - 1/3*w**4 = 0. Calculate w.
-1, 0, 1
Let k(a) = 2*a**3 + a - 1. Let p(m) = 8*m**3 - 16*m**2 + 17*m - 3. Let d(s) = 3*k(s) - p(s). Determine u, given that d(u) = 0.
0, 1, 7
Let p(g) be the third derivative of -g**6/600 + g**5/300 + g**4/30 - 2*g**3/15 - 313*g**2. Factor p(d).
-(d - 2)*(d - 1)*(d + 2)/5
Let t(x) = -x**3 + 3*x. Suppose 0 = -4*q + 32 - 8. Let l(f) = -6*f**3 + 18*f + 1. Let i(u) = q*l(u) - 39*t(u). Factor i(w).
3*(w - 1)**2*(w + 2)
Let g(c) be the third derivative of c**5/15 + 37*c**4/3 + 2738*c**3/3 + 16*c**2 - c. Determine i so that g(i) = 0.
-37
Find t such that -3*t - 6*t**4 + t**4 + t**4 - 32*t**3 - 28*t**2 + 3*t = 0.
-7, -1, 0
Solve -2/9*u**3 + 0 + 40/9*u + 16/9*u**2 = 0.
-2, 0, 10
Suppose 52*n + 493*n - 1283 + 193 = 0. Let i = -11 + 25/2. Suppose 3/2*z**n + i*z + 0 = 0. Calculate z.
-1, 0
Let v(b) = -11*b - 8. Let x be v(-1). Let n be ((-228)/(-54) + -4)/(4/x). Factor -2/3*k**2 + n - 1/2*k.
-(k + 1)*(4*k - 1)/6
Let s be (-8 - (-6)/3)*404/(-8). Let p be (5 - s/63)*3. Factor 2/7*j**3 + 0 + p*j**2 + 2/7*j.
2*j*(j + 1)**2/7
Let c(u) be the first derivative of 135*u**4/4 + 260*u**3/3 - 10*u**2 - 67. Factor c(m).
5*m*(m + 2)*(27*m - 2)
Let f(o) be the third derivative of 0*o**4 + 2*o**2 + 0*o**3 + 0*o + 7 + 1/100*o**6 + 1/75*o**5 - 3/70*o**8 - 1/15*o**7. Determine x, given that f(x) = 0.
-1, -2/9, 0, 1/4
Suppose 19 - 3 = -4*y. Let r(t) = -28*t**2 + 25*t + 13. Let u(f) = 28*f**2 - 24*f - 12. Let m(p) = y*r(p) - 5*u(p). Find c, given that m(c) = 0.
-2/7, 1
Let k(v) be the first derivative of -1/360*v**6 - 1/72*v**4 + 0*v - 10 - 4*v**2 + 0*v**3 + 1/90*v**5. Let w(r) be the second derivative of k(r). Factor w(u).
-u*(u - 1)**2/3
Let k(c) be the third derivative of 5*c**8/56 + 5*c**7/42 - 7*c**6/4 + c**5/4 + 20*c**4/3 - 10*c**3 - 11*c**2 - 15. Determine w so that k(w) = 0.
-3, -1, 1/2, 2/3, 2
Suppose 13 + 15 = 4*c. Factor -4*v**2 + c*v**2 - 21*v + 2*v**2 - 9*v.
5*v*(v - 6)
Let a(i) be the first derivative of 2*i**3/21 + 11*i**2/7 - 87. Factor a(b).
2*b*(b + 11)/7
Factor 21/4*u**2 + 0 - 6*u + 3/4*u**3.
3*u*(u - 1)*(u + 8)/4
Let v(n) be the first derivative of 0*n**3 + 6/85*n**5 + 0*n**2 - 1/51*n**6 + 0*n - 1/17*n**4 + 36. Determ