Determine u so that 8/3*u + 4*u**3 - w*u**2 - 2/3*u**4 + 0 = 0.
0, 1, 4
Let d = 15 - 8. Suppose 14*r - 14 = d*r. Determine j, given that -2*j**3 - 8*j**4 - 2*j**5 - r*j**5 - 2*j**3 = 0.
-1, 0
Let b(x) be the first derivative of -6*x**5 + 95*x**4/4 - 25*x**3 + 5*x**2 + 56. Factor b(v).
-5*v*(v - 2)*(v - 1)*(6*v - 1)
Suppose -2*d + 16 = 2*p - 4*d, -3*p + 8 = d. Let s be 7/4 - (-1)/p. Let 2*h**s + 4*h + 10 - 6 - h**2 = 0. What is h?
-2
Suppose -5*j + j - 3*d - 115 = 0, -3*d + 81 = -3*j. Let o = 30 + j. Factor -1/3*l**3 - 1/3*l**4 + 0 + 1/3*l**5 + 0*l + 1/3*l**o.
l**2*(l - 1)**2*(l + 1)/3
Factor 25*h**3 + 2*h**2 - 23 - 18 - 2*h**4 + 41 + 106*h - 131*h**3.
-2*h*(h - 1)*(h + 1)*(h + 53)
Determine d, given that -33*d + 3/4*d**2 + 363 = 0.
22
Let d(z) = 4*z**2 - 2*z - 1. Let m be d(-1). Suppose -x - 17 = -m*n, 5*n + 4*x + x = 5. Determine i so that 0*i + 1/5*i**n + 0 - 1/5*i**2 = 0.
0, 1
Let j be (-562)/5 - (1 + 35/(-25)). Let n = j + 786/7. Factor -n*u + 2/7*u**4 + 0 - 2/7*u**2 + 2/7*u**3.
2*u*(u - 1)*(u + 1)**2/7
Let v(a) = -3*a**2 - 105*a - 66. Let n(i) = -i**2. Let z(o) = 6*n(o) + v(o). Determine l, given that z(l) = 0.
-11, -2/3
Suppose 92 = 18*h + 56. Let w(y) be the second derivative of 1/7*y**h + 0 + 1/105*y**6 - 4/21*y**3 + 1/7*y**4 - 2/35*y**5 - 2*y. Suppose w(b) = 0. What is b?
1
Let z = 66/5 - 58/5. Factor 6/5*g - z + 2/5*g**2.
2*(g - 1)*(g + 4)/5
Let j be 1/8 + 17/(-8). Let b be 29/7 + j/14. Let 43*n**3 - 19*n**2 + 1 + 20*n**b + 43*n**2 - 3 - n = 0. Calculate n.
-1, -2/5, 1/4
Let a(l) be the second derivative of -l**5/20 + 7*l**4/12 + 4*l**3/3 + 4*l. Let u be a(8). Determine j, given that -6*j + 2 + 2*j**3 + 2 + 0*j + u*j = 0.
-2, 1
Let f(y) be the first derivative of -1/4*y**2 - 15 + 1/16*y**4 + 1/12*y**3 + 0*y. Factor f(z).
z*(z - 1)*(z + 2)/4
Let p(c) be the second derivative of c**4/60 + c**3/5 - 9*c + 2. Factor p(q).
q*(q + 6)/5
Let w = -3/19 + 63/38. Let f be ((-4)/(-6))/((-6)/(-18)). Factor -6*z + w*z**f + 6.
3*(z - 2)**2/2
Let m(r) be the first derivative of 2*r**3/15 - 8*r**2/5 + 24*r/5 - 34. Let m(y) = 0. Calculate y.
2, 6
Let a(w) be the first derivative of -4*w**5/5 - 30*w**4 - 300*w**3 + 362. Factor a(f).
-4*f**2*(f + 15)**2
Let f(q) be the first derivative of 3*q**5/20 - 3*q**4/2 + 9*q**3/2 - 81*q/4 + 382. Factor f(h).
3*(h - 3)**3*(h + 1)/4
Let x(r) be the first derivative of 5*r**6/6 + r**5 - 5*r**4/4 - 5*r**3/3 + 70. Suppose x(b) = 0. Calculate b.
-1, 0, 1
Let v(k) = 21*k**3 + 309*k**2 - 426*k + 96. Let b(q) = 84*q**3 + 1236*q**2 - 1704*q + 384. Let d(r) = 2*b(r) - 9*v(r). Suppose d(m) = 0. What is m?
-16, 2/7, 1
Let z = 13 + 13. Factor 32*c**4 - z*c**4 + 500*c**3 - 86*c**4 + 2240*c - 1280 - 1520*c**2 + 5*c**5.
5*(c - 4)**3*(c - 2)**2
Suppose 4*x + 8 = -2*g, 0 = -5*g + g - 3*x - 6. Let p(v) be the third derivative of 0 + g*v + 1/18*v**3 - 3*v**2 + 1/180*v**5 - 1/36*v**4. Factor p(k).
(k - 1)**2/3
Let g = 2321 - 85871/37. Let u = 140/407 - g. Factor -2/11*p**5 + u*p**3 - 2/11*p**2 + 2/11*p**4 + 0 + 0*p.
-2*p**2*(p - 1)**2*(p + 1)/11
Let z = -249/5 + 253/5. Find r such that -14/15*r**2 + z - 38/15*r = 0.
-3, 2/7
Determine x so that -4/7 + 4/7*x**2 + 2/7*x - 2/7*x**3 = 0.
-1, 1, 2
Let y(c) = 36*c - 34. Let b be y(1). Suppose w**4 + 1/2*w + 1 + 1/2*w**5 - 2*w**b - w**3 = 0. What is w?
-2, -1, 1
Factor 4/15*n**3 + 2/15*n**4 - 2/15*n**2 + 0 - 4/15*n.
2*n*(n - 1)*(n + 1)*(n + 2)/15
Let f(g) = -2*g**2 + 49*g - 36. Let r be f(24). Let l be 20/105*(-14)/r. Solve 10/9*m + 2/9*m**2 - l - 10/9*m**3 = 0.
-1, 1/5, 1
Let w(r) = r**3 - 11*r**2 + 22*r - 16. Let j be w(9). Factor 12 + 31*y**3 + j*y - 27*y**3 + 6*y + 2*y + 20*y**2.
4*(y + 1)**2*(y + 3)
Let l(n) = 10*n**2 + 56*n + 388. Let x(j) = -12*j**2 - 56*j - 387. Let s(q) = -5*l(q) - 4*x(q). Suppose s(k) = 0. Calculate k.
-14
Let y(p) be the third derivative of p**6/300 + 11*p**5/150 - p**4/60 - 11*p**3/15 - 83*p**2. Let y(h) = 0. What is h?
-11, -1, 1
Let x(z) be the second derivative of 2*z**6/15 - 5*z**4 + 20*z**3/3 + 48*z**2 - 7*z + 3. Determine h so that x(h) = 0.
-4, -1, 2, 3
Let p(k) be the third derivative of -k**8/2016 - k**7/126 - 387*k**2. Find z such that p(z) = 0.
-10, 0
Find a such that 28/5 - 34/15*a + 2/15*a**2 = 0.
3, 14
Let z(x) be the second derivative of -x**6/45 - 8*x**5/15 - 4*x**4 - 128*x**3/9 - 80*x**2/3 + 249*x. Solve z(b) = 0.
-10, -2
Factor -1280*d - 14698*d**3 - 3480*d**2 - 245*d**5 - 4060*d**4 - 6453*d**3 - 5800*d**2 + 3211*d**3.
-5*d*(d + 8)**2*(7*d + 2)**2
Factor 5*i**3 + 13*i**3 - 39*i**2 + 0*i**4 - i**4 - 3*i**3 - 4*i**3 + 45*i.
-i*(i - 5)*(i - 3)**2
Find p such that 385 + 639 - 156*p + 4*p**2 + 28*p = 0.
16
Let f(d) be the third derivative of -1/180*d**6 + 0*d + 17*d**2 + 4/3*d**3 + 0 - 4/9*d**4 + 7/90*d**5. Factor f(h).
-2*(h - 3)*(h - 2)**2/3
Let o(a) be the second derivative of a**5/210 + a**4/42 - a**2/2 - a. Let k(v) be the first derivative of o(v). Suppose k(c) = 0. Calculate c.
-2, 0
Find h, given that h**2 - 1110 + 556 + 13*h + 566 = 0.
-12, -1
Let k(x) be the second derivative of -x**5/15 - 2*x**4/3 - 2*x**3 + 7*x**2 + 24*x. Let t(m) be the first derivative of k(m). Determine a, given that t(a) = 0.
-3, -1
Let p(q) be the third derivative of q**6/90 + q**5/5 - 7*q**4/6 + 22*q**3/9 + 3*q**2 + 64. Factor p(i).
4*(i - 1)**2*(i + 11)/3
Let v(w) = -14*w**3 - 126*w**2 - 243*w - 122. Let n(y) = -24*y**3 - 252*y**2 - 487*y - 244. Let a(m) = -3*n(m) + 5*v(m). Factor a(o).
2*(o + 1)**2*(o + 61)
Let h(z) be the third derivative of -z**5/12 - 35*z**4/8 - 101*z**2. Find l such that h(l) = 0.
-21, 0
Suppose i + 5*i - 570 = 0. What is p in 10*p**4 + 5*p**3 + 4*p**5 + p**5 - 95*p**2 + i*p**2 = 0?
-1, 0
Factor 120*t**3 - 113*t**4 + 5*t**5 - 67*t**4 - 15*t**4 + 0*t**5 + 70*t**3.
5*t**3*(t - 38)*(t - 1)
Let k(i) = -i**5 - i**2 - i. Let g(y) = -2*y**5 - 5*y**4 + 5*y**3 + 2*y**2 - 9*y. Let s(t) = -g(t) + 3*k(t). Suppose s(q) = 0. What is q?
-1, 0, 1, 2, 3
Let -74/9*q + 16/9 + q**2 = 0. Calculate q.
2/9, 8
Let j(d) = -d**4 - d**3 + 8*d**2 + 2*d - 8. Let q(v) = v**4 + v**3 - 9*v**2 - v + 8. Let y(a) = 3*j(a) + 2*q(a). Solve y(h) = 0.
-2, 1, 2
Let c be (-8964)/(-560) - ((-6)/(-15) + 0). Let t = 67/4 - c. Factor 0*g - 2/7*g**4 - 6/7*g**2 + 0 - t*g**3.
-2*g**2*(g + 1)*(g + 3)/7
Find a such that 11*a**3 + 291*a + 988*a + 90*a - 74*a**2 - 10*a**3 = 0.
0, 37
Let q = 136 - 1220/9. Factor 2/9*i + 2/9*i**3 - q*i**2 + 0.
2*i*(i - 1)**2/9
Suppose -2 - 3 = -5*k. Let l(m) = -m - 1. Let f be (-16)/4*(-6)/(-4). Let b(o) = o**4 - 2*o**2 - 6*o - 5. Let t(r) = f*l(r) + k*b(r). Factor t(c).
(c - 1)**2*(c + 1)**2
Let v(j) = 9*j - 27. Let k be v(3). Let p(l) be the second derivative of -1/5*l**5 + 0*l**2 - 4/3*l**4 - 8/3*l**3 + k + 10*l. Factor p(u).
-4*u*(u + 2)**2
Find i, given that -367*i**2 + 21 - 16 + 35 + 342*i**2 + 90*i = 0.
-2/5, 4
Let z(w) = -w**2. Let j = -28 - -48. Let t(y) = -3*y**2 - 2*y + 1. Let k(l) = j*z(l) + 4*t(l). Factor k(r).
-4*(2*r + 1)*(4*r - 1)
Let t(h) be the second derivative of -h**6/240 + 3*h**5/80 - h**4/8 + h**3/2 + 7*h. Let y(x) be the second derivative of t(x). Factor y(a).
-3*(a - 2)*(a - 1)/2
Let l = -343 - -1036/3. Let s(g) be the second derivative of l*g**4 + 9*g + 0*g**2 + g**5 + 4/3*g**3 + 0. Factor s(i).
4*i*(i + 1)*(5*i + 2)
Let x(q) be the second derivative of q**4/30 - 12*q**3/5 + 3*q + 21. Let x(y) = 0. Calculate y.
0, 36
Factor -21/2 + 1/6*z**3 - 11/2*z - 1/6*z**2.
(z - 7)*(z + 3)**2/6
Factor 2*y**2 + 90 - 9*y - 24*y - 14 - 16*y + 7*y.
2*(y - 19)*(y - 2)
Let g(w) = w**2. Let o(z) = -3*z**3 - 51*z**2 + 3*z + 30. Let c(i) = 21*g(i) + o(i). Determine d so that c(d) = 0.
-10, -1, 1
Let g(k) be the first derivative of 5*k**6/18 - 5*k**4/2 + 40*k**3/9 - 5*k**2/2 + 282. Solve g(b) = 0.
-3, 0, 1
Factor 63 + 16 + 14*i**2 + 470*i - 90*i**2 - 15 + 130*i.
-4*(i - 8)*(19*i + 2)
Let f(v) be the second derivative of -v**4/18 - 2*v**3/3 - 3*v**2 - 42*v. Determine j so that f(j) = 0.
-3
Let t(q) be the first derivative of q**5/54 + 7*q**4/108 + 2*q**3/27 + 3*q**2/2 + 13. Let p(o) be the second derivative of t(o). Find k, given that p(k) = 0.
-1, -2/5
Let h(n) be the second derivative of -n**5/20 + 5*n**4/12 + 7*n**3/6 - 2*n**2 + 3*n + 2. Let d be h(6). Suppose 0 - 2/5*t - 1/5*t**d = 0. What is t?
-2, 0
Let r(m) be the third derivative of -m**6/2340 - m**5/