+ 2)
Factor -184/7*n - 1458/7*n**5 - 556/7*n**2 - 16/7 + 270/7*n**3 + 1944/7*n**4.
-2*(n - 1)**2*(9*n + 2)**3/7
Let q(j) be the third derivative of j**8/112 - 4*j**7/35 - j**6/40 + 17*j**5/5 + 15*j**4/2 - 4304*j**2. What is r in q(r) = 0?
-2, -1, 0, 5, 6
Let k(u) be the second derivative of 2*u + 0*u**2 - 1/54*u**4 + 11 - u**3. Factor k(h).
-2*h*(h + 27)/9
Let y(l) be the second derivative of -1/6*l**6 + 45/2*l**2 - 2*l - 10/3*l**4 - 3/2*l**5 + 5*l**3 - 16. Factor y(j).
-5*(j - 1)*(j + 1)*(j + 3)**2
Suppose 3*u - b = -145, -3*b = 4*u + 2*b + 187. Let j be u/(-21) + 8/(-28). Factor -9 + 25*o + 2*o**2 + 29 + 3*o**j.
5*(o + 1)*(o + 4)
Let x(k) = 2*k**2 + 1. Let i(s) = 11*s**2 - 60*s - 835. Let p(o) = o. Let r(g) = i(g) + 2*p(g). Let v(b) = -r(b) + 6*x(b). Factor v(q).
(q + 29)**2
Let o(t) be the first derivative of 0*t**2 + 1/7*t**4 + 2/35*t**5 + 0*t**3 - 77 - 1/21*t**6 + 0*t. Suppose o(l) = 0. What is l?
-1, 0, 2
Suppose 5*g - 9*g - 3*q = -35, 0 = -g + q. Let u be ((-6)/(-25)*-5)/((-7)/g). Suppose u*l + 2/7*l**2 + 0 = 0. Calculate l.
-3, 0
Let f(q) be the first derivative of -3*q**4/4 - 480*q**3 - 174231*q**2/2 - 342726*q + 10032. Suppose f(w) = 0. Calculate w.
-239, -2
Suppose -3*r = -2*k - 9, -4*r + 3 = 5*k - 9. Factor 348*o - 1051*o + 350*o - 4*o**r + 349*o - 8*o**2.
-4*o*(o + 1)**2
Let f(a) be the first derivative of -4*a**3/21 + 208*a**2/7 + 60*a - 454. Determine c so that f(c) = 0.
-1, 105
Let t(m) be the second derivative of 0*m**2 + 4/21*m**3 - 2/21*m**4 - 22*m + 0 - 1/147*m**7 - 3/70*m**5 + 4/105*m**6. Suppose t(c) = 0. What is c?
-1, 0, 1, 2
Let o(q) = 59*q**3 - 56483*q**2 + 37582*q + 18790. Let k(r) = 10*r**3 - 9414*r**2 + 6264*r + 3132. Let t(z) = 13*k(z) - 2*o(z). Factor t(x).
4*(x - 784)*(x - 1)*(3*x + 1)
Let m be 201/90 - ((-1)/(-3))/((112465/(-498))/(-271)). Find g, given that -16/3*g + m*g**4 + 5/2*g**3 + 1/6*g**5 - 31/6*g**2 + 6 = 0.
-9, -2, 1
Let m(y) = -3*y**3 - 8356*y**2 - 2171523*y + 5. Let v(w) = -8*w**3 - 20888*w**2 - 5428808*w + 12. Let o(l) = 12*m(l) - 5*v(l). Factor o(r).
4*r*(r + 521)**2
Let r be (-14)/(-3)*(-6)/2*(-732)/2562. Solve 7/4*i**2 - 7/4*i**r + 9/4*i**3 - 5/2*i + 1/4*i**5 + 0 = 0 for i.
-1, 0, 1, 2, 5
Suppose -3*v - 4 = -2*t - 17, 0 = -5*t - 25. Suppose 0 = -4*y + 5*i + 28, 5*y + v = i + 15. Factor 0 - 2/5*j**y + 6/5*j.
-2*j*(j - 3)/5
Let c = 57 - 55. Let g = 5 + -1. Find o, given that 0 + c*o + 2*o - g*o**2 + o**3 + 0 = 0.
0, 2
Suppose 3*f + 3*k + 4596 = 0, -f = -4*f + 4*k - 4582. Let o be -11 - (0 - f/(-138)). Factor 2/23*y**3 + o*y**2 + 0 + 0*y.
2*y**2*(y + 1)/23
Let n(j) be the first derivative of 1089*j**2 - 31944*j - 33/2*j**3 + 3/32*j**4 + 120. Factor n(t).
3*(t - 44)**3/8
Let r = -473932 - -473934. Let k = -3308/5 - -664. Find p, given that -k*p + 3/5*p**4 + 6/5*p**r + 11/5*p**3 - 8/5 = 0.
-2, -2/3, 1
Let k = 17 + -19. Let f be ((-58)/(-203))/(k*1/(-14)). Determine m, given that 19*m + 19*m**2 + 26*m**f - 10*m + 5 + 21*m = 0.
-1/3
Let j(p) be the second derivative of -54*p**2 + 0 - 1/36*p**4 + 22*p - 2*p**3. Solve j(l) = 0 for l.
-18
Let o(b) be the third derivative of b**5/150 - 14*b**4/15 + 17*b**3 - b**2 - 7730. Factor o(l).
2*(l - 51)*(l - 5)/5
Factor -7/5*h**4 - 254/5*h**2 + 102/5*h**3 - 1/5*h**5 + 47*h - 15.
-(h - 5)*(h - 1)**3*(h + 15)/5
Let x = -13293 - -13295. Suppose -b - 34 = -3*b. Factor -1/2 - 289/2*j**x - b*j.
-(17*j + 1)**2/2
Suppose -11*u + 14 = -8. Suppose -2*q**u + 0 + 6*q - 2 + 4 + 6 = 0. Calculate q.
-1, 4
Suppose 0 = 3*j - 4*j + 5. Suppose 66 = j*m - 59. Solve 8 + 16*t**3 + 27*t**2 + 10*t + 34*t + 0 + m*t**2 = 0 for t.
-2, -1, -1/4
Let r(b) be the third derivative of 6*b**2 + 1/280*b**7 - 9/32*b**4 + 9/160*b**6 + 5/4*b**3 - 11/80*b**5 + 0*b + 0. Solve r(h) = 0.
-10, -1, 1
Let h = -83485 - -83488. Suppose -68/9*v**2 + 0 - 2/9*v**h - 578/9*v = 0. What is v?
-17, 0
Let l(i) = -15*i**4 - 57*i**3 - 222*i**2 + 6. Let o(v) = 18*v**4 + 59*v**3 + 221*v**2 - 7. Let r(s) = -7*l(s) - 6*o(s). Let r(j) = 0. What is j?
-4, 0, 19
Let b be (838/(-13827))/(-1 + 282/288). Determine c so that -8/11*c**3 + 24/11 + b*c - 2/11*c**4 + 2/11*c**2 = 0.
-3, -2, -1, 2
What is w in 8393/3*w + 3209*w**2 + 1543/3*w**3 + 242/3 + 67/3*w**4 = 0?
-11, -1, -2/67
Suppose 6 = -4*a + 14. Factor 256 - 176*g**a - 2*g**5 - 88*g**3 + 92*g - 28*g - 26*g**4 - 103*g**3 + 75*g**3.
-2*(g - 1)*(g + 2)*(g + 4)**3
Suppose 0 = -3*c - 2*v + 22, 4*c - 3384 = 2*v - 3392. Let -64/7 + 32/7*d - 4/7*d**c = 0. What is d?
4
Let z(g) = 44*g**3 + 1124*g**2 + 2244*g + 1004. Let h(n) = -4*n**3 - 102*n**2 - 204*n - 91. Let d(i) = 32*h(i) + 3*z(i). Factor d(c).
4*(c + 1)**2*(c + 25)
Factor -672*t + 93*t**2 - 102*t**3 - 98*t**3 - 105*t**3 + 302*t**3 - 768.
-3*(t - 16)**2*(t + 1)
Let z(j) be the first derivative of -2*j**6/21 - 372*j**5/35 + 5*j**4/7 + 620*j**3/7 - 8*j**2/7 - 1488*j/7 + 4941. Determine a so that z(a) = 0.
-93, -2, -1, 1, 2
Let q(p) = 6*p**3 - p**2 - 2*p + 1. Let d be q(1). Suppose -4*f + 15 + d = h, 26 = 2*h + 5*f. Solve 72*s**4 + 0*s**2 + h*s**3 - 3*s - 75*s**4 + 3*s**2 = 0.
-1, 0, 1
Let x(b) be the first derivative of -b**4/42 - 164*b**3/63 + 905. Factor x(m).
-2*m**2*(m + 82)/21
Let s(c) = -6*c**2 + 13*c - 6. Let d(h) = -h**2 + 2*h. Let v(p) = 21*d(p) - 3*s(p). Determine k, given that v(k) = 0.
-2, 3
Let h(q) = q**3 + 3*q - 5. Let w(a) = -10*a**3 - 20*a**2 + 80*a - 45. Let g(c) = 5*h(c) + w(c). Suppose g(u) = 0. What is u?
-7, 1, 2
Let r be (6/(-4))/(693/72 - 10). Let o(u) be the first derivative of 1/4*u**5 - 5/8*u**2 + 5/6*u**3 - 1/24*u**6 + 1/4*u - 5/8*u**r + 8. Factor o(n).
-(n - 1)**5/4
Factor -15*l**2 + 3/2*l**3 + 36*l + 0.
3*l*(l - 6)*(l - 4)/2
Let o be (0/(-1))/(6 - (1 - -4)). Suppose -h + 94 = -2*g - 158, o = -5*h + 2*g + 1260. Factor 2*d**2 - 268*d + 2*d**2 + h*d.
4*d*(d - 4)
Let x be ((-48)/72)/(2/(-18)). Suppose 12 = x*r - 6. Factor -3 - 25*g + 3*g**r + 3*g**2 + 48*g - 26*g.
3*(g - 1)*(g + 1)**2
Let l be 1400/(-880)*22/(-20). Suppose 3/4*o - l*o**3 + 3/4*o**4 + 3/4*o**2 - 1/2 = 0. Calculate o.
-2/3, 1
Let b(i) = -16*i - 91. Let d be b(-6). Suppose -y + 31 = d*w + 21, 5*y = 3*w - 6. Let -1/11*s**w - 8/11 - 6/11*s = 0. Calculate s.
-4, -2
Let d(l) be the first derivative of l**5/35 - 19*l**4/4 - 135*l**3/7 - 407*l**2/14 - 136*l/7 - 152. Suppose d(s) = 0. What is s?
-1, 136
Let u(x) = 5*x**2 + 73*x + 71. Let h(c) = 116*c + 104*c - 8 - c**2 + 222 + 15*c**2. Let y(j) = -3*h(j) + 8*u(j). Factor y(o).
-2*(o + 1)*(o + 37)
Let b(t) = -t**2 - 19*t - 67. Let u be b(-14). Solve u*g**2 - 19*g**2 + 56*g**5 - 8*g + 166*g**4 + 3051*g**3 - 2949*g**3 = 0 for g.
-2, -1, -1/4, 0, 2/7
Suppose s = 5, -3*o - 19*s - 135 = -22*s. Let g be (-34)/o - (-6 + 1)/(-20). Factor 3/5*c**3 + 0 - g*c**2 - 6/5*c.
3*c*(c - 2)*(c + 1)/5
Let w be 6/9*(-27)/(-9). Let s(j) be the third derivative of 0 + 0*j**4 + 2/35*j**7 - 1/336*j**8 + 16/15*j**5 + 0*j + 14*j**w - 2/5*j**6 + 0*j**3. Factor s(t).
-t**2*(t - 4)**3
Let s(m) = m**4 + 5*m**3. Let k(g) = g**4 - 175*g**3 + 215*g**2 + 205*g - 210. Let q(u) = -k(u) + 6*s(u). Suppose q(a) = 0. What is a?
-42, -1, 1
Suppose w = -4*u + 163, -w + 37 = -6*u + 7*u. Let d be 0/(1 - 2) + 54/u. Find m, given that -6/7*m - 3/7*m**3 - d*m**2 + 0 = 0.
-2, -1, 0
Let b(j) be the first derivative of 2*j**5/55 + 26*j**4/11 + 190*j**3/11 + 414*j**2/11 + 1222. Determine z, given that b(z) = 0.
-46, -3, 0
Suppose -15*g + 6*g = 0. Let a(s) be the second derivative of -1/25*s**6 + 1/105*s**7 + g*s**3 + 0 - 2*s + 0*s**2 + 0*s**5 + 0*s**4. Factor a(v).
2*v**4*(v - 3)/5
Let x = 36295/9 - 36283/9. Suppose -4/3*o - x + 4/3*o**3 + o**2 + 1/3*o**4 = 0. Calculate o.
-2, -1, 1
Let g(k) be the second derivative of -k**4/6 + 8*k**3 + 52*k**2 - k - 52. Solve g(i) = 0 for i.
-2, 26
Let k be (-2 - 3)/(-5 - 100/(-24)). Let i**2 - 5 - k*i**2 + 6 + 4*i**2 = 0. Calculate i.
-1, 1
Factor -2*j**2 - 2*j**4 + 0 - 21/2*j**3 + 1/2*j**5 + 14*j.
j*(j - 7)*(j - 1)*(j + 2)**2/2
Suppose -3/2*o**4 - 87/2*o + 0 - 93/2*o**3 - 177/2*o**2 = 0. Calculate o.
-29, -1, 0
Let c(d) = d. Let u(s) = 8*s + 15. Let n(o) = 6*c(o) - u(o). Let i be n(-9). Factor 0*h**2 + h + i*h**3 - 2*h**3 + 6*h**2 - 4*h**2.
h*(h + 1)**2
Suppose 164 = 6*x + 128. Find v such that -9*v + 3*v**3 - 8648 - x*v**2 + 8648 = 0.
-1, 0, 3
Let w(g) be the third derivative of 5/24*g**3 - 5*g**2 + 0*g - 1/