**3 + 0 + 1/30*c**5 + 0*c + 1/756*c**8 - 1/90*c**6 + 0*c**4. What is y in p(y) = 0?
-3/2, 0, 1, 3
Let y(r) be the third derivative of r**5/12 + 100*r**4 + 48000*r**3 - 232*r**2 + r. Factor y(u).
5*(u + 240)**2
Let n(v) be the third derivative of -v**8/448 - v**7/28 - 3*v**6/16 - v**5/2 - 25*v**4/32 - 3*v**3/4 - 3*v**2 - 29. Suppose n(l) = 0. What is l?
-6, -1
Let j(w) = -4*w**3 - 155*w**2 + 508*w - 343. Let z(v) = 5*v**2 + 1. Let d(r) = j(r) - z(r). Find x such that d(x) = 0.
-43, 1, 2
Let a(r) = r**3 + 2*r**2. Let h(p) = 2*p**3 - 36*p**2 + 8*p + 176. Let v(l) = 4*a(l) - h(l). Solve v(c) = 0 for c.
-22, -2, 2
Suppose -5*q - 5*o + 2*o + 3 = 0, -4*q - o + 1 = 0. Let z(a) be the second derivative of q*a**2 + 1/24*a**4 + 0 + 1/3*a**3 - 5*a. Factor z(w).
w*(w + 4)/2
Suppose 12*l - 2497 + 2473 = 0. Solve -108/7 - 30/7*r**l - 198/7*r = 0 for r.
-6, -3/5
Let v(h) be the second derivative of h**7/126 - h**6/10 + 2*h**5/15 - 350*h - 3. Suppose v(x) = 0. Calculate x.
0, 1, 8
Let y(p) be the second derivative of p**6/27 + 86*p**5/45 + 34*p**4/27 - 12*p + 91. Let y(f) = 0. What is f?
-34, -2/5, 0
Let x be (-12)/36 + ((-132)/(-45))/(4/5). Factor -20/3*b**2 - 2/3 + 10/3*b - x*b**4 + 2/3*b**5 + 20/3*b**3.
2*(b - 1)**5/3
Let d be (4/(-3))/(3/(-2646)*3). Let -31*z**4 - 4*z**5 + 308*z**2 - 114*z**3 + 260*z**3 + d*z - 21*z**4 - 278*z**3 = 0. Calculate z.
-7, -1, 0, 2
Let v be (529/(-506))/((-2)/52). Let h = v + -27. Factor -h*w**2 + 0 - 2/11*w**3 + 0*w.
-2*w**2*(w + 1)/11
Let l = 2364 + -2324. Suppose -45*x + l*x - 15 = 0, 2*v + x = -3. Solve 0*s**3 + 0 + v*s + 1/6*s**2 - 1/6*s**4 = 0.
-1, 0, 1
Let g(j) be the third derivative of j**5/390 - 119*j**4/78 + 14161*j**3/39 - 1398*j**2 + 2. Factor g(t).
2*(t - 119)**2/13
Let x(t) be the first derivative of 0*t + 2/15*t**3 - 14 - t**2. Factor x(k).
2*k*(k - 5)/5
Let m(u) = -4*u**3 + u**2 + 2*u - 11. Let n be m(5). Let q = 476 + n. Factor 1/2*r**3 - 1/4*r + q*r**2 + 0*r**4 + 0 - 1/4*r**5.
-r*(r - 1)**2*(r + 1)**2/4
Let y be 64/(-80) + (-2299)/(-5). Let s = y - 457. Factor 0 + 16/3*z**s - 4/3*z - 7/3*z**3.
-z*(z - 2)*(7*z - 2)/3
Let c be (-66)/(-352)*(-9 - -25). Determine g, given that -5/4*g + 1/2 + 1/4*g**5 + 1/2*g**2 - g**4 + g**c = 0.
-1, 1, 2
Let u(b) be the third derivative of 3*b**8/448 - 29*b**7/140 + 71*b**6/160 + b**5/4 - 9*b**4/8 - 4015*b**2. Determine x so that u(x) = 0.
-2/3, 0, 1, 18
Solve 8/5*r**5 - 1836/5 + 180*r - 7*r**4 - 38*r**3 + 93*r**2 = 0 for r.
-3, 2, 51/8
Suppose -164*c = 52*c. Suppose 17*p = 27 + 24. Factor c*g**2 - 1/2*g**4 + 1/4*g**5 + 0*g**p + 0 + 0*g.
g**4*(g - 2)/4
Suppose 58/3*u**2 + 8*u**3 - 28*u + 2/3*u**4 - 96 = 0. Calculate u.
-8, -3, 2
Let g(n) = 12*n**3 - 10092*n**2 + 10176*n + 32. Let x(b) = -b**3 + 917*b**2 - 925*b - 3. Let r(l) = 3*g(l) + 32*x(l). Solve r(q) = 0.
0, 1, 232
Let k(r) be the second derivative of r**8/33600 + r**7/2520 - r**6/450 - r**5/50 - 13*r**4/2 - 71*r. Let j(v) be the third derivative of k(v). Factor j(p).
(p - 2)*(p + 1)*(p + 6)/5
Suppose -34 = 5*b - 64. Solve m - b + 42*m**3 - 70*m**3 + 4*m**2 + 29*m**3 = 0.
-3, -2, 1
Let q(u) = u**2 + 32*u + 155. Let v be q(-26). Let i be 142*v/(-132) + 5/55. Factor i*b - 1/6*b**3 - 2/3 - 1/3*b**2.
-(b - 1)**2*(b + 4)/6
Let l(j) be the second derivative of j**6/540 - j**5/90 + 11*j**3/3 + j**2 + 5*j - 11. Let m(i) be the second derivative of l(i). Let m(y) = 0. What is y?
0, 2
Suppose -18 + 1 = -5*x + 3*h, 3*x - 8 = 4*h. Find c such that 159*c**3 - 46*c**5 - 136*c**2 - 96 + 288*c + 49*c**5 + 5*c**4 - 41*c**x - 182*c**2 = 0.
1, 2, 4
Let s be ((-12)/(-66) - 24/11)*(-6)/36. Let u(l) be the first derivative of l**4 - l**2 + 4/3*l**3 - s*l**6 - 2/5*l**5 - 2*l + 2. Factor u(q).
-2*(q - 1)**2*(q + 1)**3
Let s(k) be the first derivative of 11 - 10/3*k**3 + 8*k + 5/12*k**4 + 15/2*k**2. Let t(l) be the first derivative of s(l). Factor t(u).
5*(u - 3)*(u - 1)
Let x(n) = -5 - 5*n**2 + 1 + 2 - 3*n. Let c(k) = -24*k**2 + 4 + 21*k**2 + 14*k**2 + 6*k. Let a(q) = 4*c(q) + 9*x(q). Factor a(d).
-(d + 1)*(d + 2)
Let p(b) be the first derivative of 17/5*b**2 - 1/25*b**5 - 23/5*b**3 + 9/5*b**4 + 178 + 0*b. Determine w, given that p(w) = 0.
0, 1, 34
Let f = -39 - -46. Suppose 3 = f*s - 6*s. Factor -5*u**s + 19*u**3 + 4*u**2 - 2*u**4 - 12*u**3.
-2*u**2*(u - 2)*(u + 1)
Suppose 3*k - 3*t - 18 = 0, -t + 34 = 4*k - 0*t. Let o be ((-12)/8)/((-6)/k). Determine z, given that 4*z**3 - 8*z**2 + 5*z**o - z**3 = 0.
0, 1
Factor 84 + 90*j**4 - 3/2*j**5 - 675/2*j - 345*j**3 + 510*j**2.
-3*(j - 56)*(j - 1)**4/2
Suppose 3*p + 4*f = 2*p - 34, -p + 3*f - 62 = 0. Let r = p - -52. Factor -3*z + 0*z**2 + z**2 + 0*z - 4*z**r.
-3*z*(z + 1)
Let g(j) be the second derivative of j**4/60 + 5*j**3/6 - 27*j**2/5 - 518*j. Factor g(r).
(r - 2)*(r + 27)/5
Let g(q) be the first derivative of -q**5/20 - 21*q**4/4 + 92*q - 250. Let z(x) be the first derivative of g(x). Factor z(t).
-t**2*(t + 63)
Suppose 14383*b - 14380*b + 4*a = 152, 4*b + 3*a = 177. Factor -b + 3*l + 3/2*l**2.
3*(l - 4)*(l + 6)/2
Let v(a) = -a**2 + 6. Let q(y) = -5*y**2 + 31. Suppose 0 = -2*l - 115 - 121. Let h = 114 + l. Let r(f) = h*q(f) + 22*v(f). Factor r(z).
-2*(z - 2)*(z + 2)
Let q = -10 + 17. Factor 18*h**3 + 48 - 15 - 10 - 84*h - q + 50*h**2.
2*(h - 1)*(h + 4)*(9*h - 2)
Let f = -104 + 103. Let q(n) = -3*n**3 + n**2 + 4*n + 2. Let u be q(f). Factor -28*o**u + 52*o**2 - 26*o**2 - 10 + 12*o.
-2*(o - 5)*(o - 1)
Suppose 14*j = -151 + 179. Suppose -5/3*w**j - 4/3 + 16/3*w - 7/3*w**3 = 0. What is w?
-2, 2/7, 1
Determine u, given that -1/2*u**3 - 551*u**2 - 151248*u + 304704 = 0.
-552, 2
Let a = -87 + 148. Factor -193*q**2 - 2*q**5 - 17*q**2 - 155*q**3 - 36*q**4 + 113*q**2 - a*q**3 - 335*q**2.
-2*q**2*(q + 6)**3
Let s(q) be the third derivative of 0*q - 2 + 0*q**3 + 47*q**2 + 9/20*q**4 - 1/150*q**5. Find j such that s(j) = 0.
0, 27
Solve -386201104/13 - 3468/13*p**2 - 2/13*p**3 - 2004504/13*p = 0 for p.
-578
Let t(m) be the second derivative of -24*m**4 - 43*m + 0 + 16/5*m**5 - 10*m**2 - 26*m**3. Suppose t(w) = 0. What is w?
-1/4, 5
Let r = 9127 + -9122. Let j(b) be the first derivative of 2/5*b**r - 15 - 12*b**2 - 16*b - 4/3*b**3 + 3/2*b**4. Factor j(p).
2*(p - 2)*(p + 1)*(p + 2)**2
Let p(u) = -20*u**3 - 40*u**2 - 72*u - 72. Let v(c) = 2*c**3 + c**2 - c + 1. Let s(n) = p(n) + 8*v(n). Factor s(h).
-4*(h + 2)**2*(h + 4)
Factor -8*x**2 + 2*x**2 + 18*x**2 - 5*x**2 - 5*x**2 + 538722 - 2076*x.
2*(x - 519)**2
Let o(i) = i**3 + 2*i**2 - i + 12. Let b be o(0). Let d(v) = v**2 - 29*v + 5. Let g(p) = -2*p**2 + 72*p - 12. Let y(c) = b*d(c) + 5*g(c). What is x in y(x) = 0?
-6, 0
Suppose 0 = -2*w + 3*u + 1384, 14*u - 13*u = 0. Let c = -4842/7 + w. Let -2/21*i**3 - 4/21 + c*i + 0*i**2 = 0. What is i?
-2, 1
Factor 104/9*w**2 - 34/9*w**3 - 8/9*w - 128/9.
-2*(w - 2)**2*(17*w + 16)/9
Let w(o) be the second derivative of 0*o**3 + 2 - 3/7*o**4 - 8*o - 1/105*o**6 - 19/70*o**5 + 0*o**2. Suppose w(y) = 0. Calculate y.
-18, -1, 0
Let n(g) be the second derivative of g**5/10 + 49*g**4/3 - 301*g**3/3 + 202*g**2 - 2*g + 1864. Factor n(o).
2*(o - 2)*(o - 1)*(o + 101)
Let o(j) = 19*j - 455. Let u be o(24). Let a be 1*(u - 6)*276/(-460). Find x such that -a*x + 12/5 + 3*x**3 - 3/5*x**4 - 9/5*x**2 = 0.
-1, 1, 4
Let d be (-8 + 8)*22/66. Let o(j) be the second derivative of -5/3*j**4 - 1/8*j**5 - 6*j + 0 + d*j**2 - 20/3*j**3. Suppose o(n) = 0. Calculate n.
-4, 0
Let y(f) be the second derivative of 3/35*f**5 - 2*f + 0*f**2 + 6 - 8/21*f**4 + 8/21*f**3. Factor y(t).
4*t*(t - 2)*(3*t - 2)/7
Let g be (-12)/138 + (-336)/(-161). Suppose -g*m**3 + 9*m**2 + 572*m - 555*m + 10 - 4 = 0. Calculate m.
-1, -1/2, 6
Let g be 0/(((-15)/45)/((-2)/(-6))). Factor 6*j**3 + 2*j**2 - 7*j**3 + 0*j + 3*j + g*j.
-j*(j - 3)*(j + 1)
Let c(k) be the second derivative of -k**6/480 - 7*k**5/120 - k**4/4 - 5*k**2/2 + 16*k + 6. Let v(m) be the first derivative of c(m). Find o such that v(o) = 0.
-12, -2, 0
Solve 8*u**5 - 54*u**4 - 151*u + 171 + 376*u**2 + 751*u + 79 - 32*u**3 + 4*u**2 = 0 for u.
-5/4, -1, 5
Factor -7*l**3 - 594*l + 282*l**2 + 18468 - 988*l + 4*l**3 - 2765*l.
-3*(l - 76)*(l - 9)**2
Let d(i) = 2*i**3 - 111*i**2 + 355*i - 222. Let x(q) = -q**3 + 110*q**2 - 347*q + 222. Let g(h) = 4*d(h) + 6*x(h). Find k, given that g(k) = 0.
-111, 1, 2
Let x(k) = -197*k - 1966