**3 + 1/4*i.
-i*(i - 1)*(i + 1)**2/4
Let a(t) be the second derivative of -t**5/15 - 1069*t**4/36 - 89*t**3/6 + 7*t + 58. Factor a(j).
-j*(j + 267)*(4*j + 1)/3
Let y(f) be the second derivative of -43/10*f**6 + 7*f**4 + 0*f**2 + 3 - f - 4*f**3 + 21/10*f**5 - 3/2*f**7. Solve y(d) = 0 for d.
-2, -1, 0, 2/7, 2/3
Let p = 2529/50980 + 1/2549. Let t(z) be the third derivative of 0*z + p*z**5 - z**4 + 8*z**3 + 0 + 2*z**2. Factor t(x).
3*(x - 4)**2
Let v(m) be the third derivative of -m**8/784 + 11*m**7/490 - m**6/28 - 248*m**2 + 2*m. Suppose v(n) = 0. Calculate n.
0, 1, 10
Let d be (-2)/(-3) - (-16 + 184/24). Suppose -d*w = 26*w - 70. Factor 3*i**w - 3/2*i**3 + 21/2*i + 6.
-3*(i - 4)*(i + 1)**2/2
Let g(t) = -27*t + 898. Let o be g(33). Let p be 756/4410*o/3. Solve -38/5*l - p*l**3 + 18/5 + 22/5*l**2 = 0.
1, 9
Let q(l) = -6*l - 6*l - 8*l - 150 + 17*l. Let z be q(-51). Factor 14/5*c**2 + 12/5*c**z - 8/5*c - 2.
2*(c + 1)**2*(6*c - 5)/5
Let x be (1750/(-441))/25*(-5544)/385. Find a, given that x*a**2 + 52/7*a - 48/7 = 0.
-4, 3/4
Suppose 13*x - 333 + 294 = 0. Let g(z) be the first derivative of 27 + 3/7*z**x - 9/7*z + 3/14*z**2 - 3/28*z**4. Find y such that g(y) = 0.
-1, 1, 3
Factor -2/3*f**2 + 0*f - 1/3*f**3 + 1/3*f**4 + 0.
f**2*(f - 2)*(f + 1)/3
Solve -49086*z**2 + 49090*z**2 - 2792*z + 73789 + 413415 = 0.
349
Let s = 1485 - 1481. Let x = 92/9 + -940/99. Let -x - 14/11*u**s - 24/11*u + 2*u**2 + 24/11*u**3 = 0. Calculate u.
-1, -2/7, 1, 2
Let i(a) be the first derivative of 7/5*a**5 + 2/3*a**6 - 7 + 0*a**2 + 2/21*a**7 - 32*a + 0*a**3 + a**4. Let q(h) be the first derivative of i(h). Factor q(y).
4*y**2*(y + 1)**2*(y + 3)
Factor -11 + 16*q - 36 + 132*q**2 - 177 - 56*q**3 + 48 + 4*q**4.
4*(q - 11)*(q - 2)**2*(q + 1)
Let i(y) = 2*y**2 + 44*y + 12. Let t(p) = p**2 + p + 1. Let w(l) = 9*l**2 + 50*l + 20. Let d(r) = 6*t(r) - w(r). Let h(q) = -6*d(q) - 7*i(q). Factor h(x).
4*x*(x - 11)
Let t = -1575 - -1579. Let a(n) be the second derivative of 0 - 4*n + 5/36*n**t + 2/3*n**2 + 5/12*n**5 - 8/9*n**3. Factor a(g).
(g + 1)*(5*g - 2)**2/3
Let j be 4*(88/32)/(-11). Let p be 0/(2/6*-3*j). Factor -2/7*c**2 + p + 4/7*c + 2/7*c**4 - 4/7*c**3.
2*c*(c - 2)*(c - 1)*(c + 1)/7
Let k = -2256 + 2256. Let q(n) be the third derivative of k + 3/40*n**4 + 8*n**2 - 1/10*n**3 - 3/100*n**5 + 0*n + 1/200*n**6. Suppose q(y) = 0. Calculate y.
1
Suppose 0*y - 2*y + 10 = 4*w, -3*w + 4 = 5*y. Let -3*v**2 + 4*v**3 + 15*v**2 - v**3 - 7*v**w = 0. Calculate v.
0, 3
Suppose -80*d**3 - 4*d**5 + 88*d**4 + 154*d**2 + 79*d**2 - 321*d**2 + 84*d = 0. What is d?
-1, 0, 1, 21
Let x(a) be the third derivative of a**8/672 + 4*a**7/15 + 27*a**6/10 + 641*a**5/60 + 1063*a**4/48 + 53*a**3/2 + 2641*a**2. Solve x(b) = 0.
-106, -3, -1
Factor 496*l**2 + 103*l**4 + 865 - 4*l**5 + 964 - 344*l**3 - 115*l - 209*l - 7*l**4 - 1749.
-4*(l - 20)*(l - 1)**4
Let y(t) be the first derivative of -t**6/600 - t**5/75 - t**4/40 + 39*t**2/2 + 136. Let o(z) be the second derivative of y(z). Suppose o(u) = 0. Calculate u.
-3, -1, 0
Suppose 4*t - 11*n + 6*n = -2, -t - 5*n = -12. Let k(y) be the first derivative of -3/20*y**4 + 11 + 27/5*y + 7/5*y**3 - 9/2*y**t. Factor k(d).
-3*(d - 3)**2*(d - 1)/5
Let q(k) be the second derivative of 13*k**3/6 - 37*k**2/2 + 4*k. Let v be q(9). Factor -43 + 40*m - 4*m**2 + 23 - v.
-4*(m - 5)**2
Let d be (4032/(-35))/(-9) + (13 - 12)*-10. What is q in d*q**4 - 24/5*q**2 + 8/5*q - 18/5*q**3 + 0 = 0?
-1, 0, 2/7, 2
Let g(l) = -9*l**2 + 1008*l - 1434. Let w(y) = -2*y - 15. Let b(u) = g(u) - 6*w(u). Let b(r) = 0. What is r?
4/3, 112
Let w be (-18)/(-39)*2925/90 - 10. Suppose 15/2*d**2 + 0*d - 5/2 + w*d**3 = 0. What is d?
-1, 1/2
Let n be 36/40*(3/81)/(6/27). Let m(p) be the first derivative of -n*p**4 - 4/5*p**3 + 0*p - 6/5*p**2 + 2. Determine t so that m(t) = 0.
-2, 0
Let w be (-1084)/(-3523) + (-96)/(-26). Let c(t) be the second derivative of 0*t**3 + t**w + 24*t + 1/10*t**6 + 0*t**2 - 3/5*t**5 + 0. Factor c(k).
3*k**2*(k - 2)**2
Let w(q) be the second derivative of q**7/42 - 913*q**6/30 + 911*q**5/10 + q**4/6 - 1823*q**3/6 + 911*q**2/2 - 2*q + 4252. Let w(f) = 0. Calculate f.
-1, 1, 911
Let j be (-4 + -2)*(-3)/9. Solve -5*u**3 + 10*u**3 - j*u + u - 4*u - 5*u**4 + 5*u**2 = 0.
-1, 0, 1
Let d(s) be the first derivative of 16*s**6/51 - 1072*s**5/85 + 3625*s**4/34 + 28502*s**3/51 + 15403*s**2/17 + 10658*s/17 + 336. Suppose d(k) = 0. What is k?
-1, 73/4
Let t(x) = -x**3 - 17*x**2 + 2*x + 39. Let q be t(-17). Let -35 + 136*s + q*s**2 + 0*s**2 - 200*s + 94*s = 0. Calculate s.
-7, 1
Let n(q) = -q**3 + q**2 + q. Let u(j) be the second derivative of j**4/3 - 3*j**2 - j - 21. Let d(p) = -2*n(p) - u(p). Factor d(o).
2*(o - 3)*(o - 1)*(o + 1)
Let u be (8918/504 + -14 - 4)/((-3)/9). Let x(r) be the first derivative of 5/8*r**4 - 49 + 3/10*r**5 - 1/3*r - u*r**2 - 11/18*r**3. Factor x(n).
(n - 1)*(n + 2)*(3*n + 1)**2/6
Let r(t) = 10*t**3 - 3378*t**2 + 920736*t - 85015738. Let g(z) = -9*z**3 + 3369*z**2 - 920738*z + 85015737. Let f(n) = 6*g(n) + 5*r(n). What is p in f(p) = 0?
277
Factor -316*o**4 - 16*o**2 - 32*o**3 + 647*o**4 - 327*o**4 + 128*o.
4*o*(o - 8)*(o - 2)*(o + 2)
Let a be 8/20*1 + 2/(-5). Suppose -3*u + g = 1, 9*u - 5*u - 5*g + 5 = a. Factor 6/13*r**2 - 4/13*r + u + 14/13*r**4 + 24/13*r**3.
2*r*(r + 1)**2*(7*r - 2)/13
Let s = 760 - 619. Find d, given that -138 + 109*d**2 + 113*d**2 + 107*d**2 - s*d - 332*d**2 = 0.
-46, -1
Suppose -5*u + 87 = -63. Let m be (-36)/126 + u/7. Factor -3*n**3 - n**5 - 3*n**4 + 2*n**4 - 2*n**m - n**2.
-n**2*(n + 1)**3
Find b such that 2 + 4/5*b**2 + 22/5*b = 0.
-5, -1/2
Let m(g) = -8*g**2 - 47*g + 9. Let h be m(-6). Let n(t) = 2*t**2 - 18*t - 35. Let k(y) = -3*y**2 + 20*y + 36. Let q(v) = h*k(v) + 4*n(v). What is u in q(u) = 0?
-8, -4
Let q(s) be the first derivative of -s**6/8 - s**5/40 + 23*s**4/32 + 5*s**3/8 - 13*s**2/16 - 5*s/4 + 5910. Find l, given that q(l) = 0.
-1, 5/6, 2
Let p(z) be the second derivative of 3*z**5/20 - 119*z**4/4 + 3819*z**3/2 - 48735*z**2/2 + 8159*z. Suppose p(j) = 0. Calculate j.
5, 57
Let l be 1525/(-2200) - 840/(-960). Determine i so that -168/11*i - l*i**4 - 72/11 - 122/11*i**2 - 28/11*i**3 = 0.
-6, -1
Let o be ((-12)/21)/((-8)/28). Determine p so that 16*p - 2*p**3 - 4*p**2 - o*p**3 + 9 + 4*p**2 + 7 - p**4 = 0.
-2, 2
Factor 284*h**2 + 0 + 90738*h + 2/9*h**3.
2*h*(h + 639)**2/9
Let q(i) be the third derivative of 2*i**7/735 + 4*i**6/21 + 592*i**5/105 + 640*i**4/7 + 6144*i**3/7 + 557*i**2 - 2*i. Factor q(b).
4*(b + 8)**2*(b + 12)**2/7
Let k = -296 + 285. Let x be k - 1/(9/(-99)). Find v, given that 0*v - 48/5*v**3 + 36/5*v**4 + x + 16/5*v**2 = 0.
0, 2/3
Let i be (2604/1240)/(7/12). Factor -12/5*a - 2/5*a**2 - i.
-2*(a + 3)**2/5
Let o = 2 + 2. Suppose 1 = -2*v + x, -16 = -3*v + 11*x - 13*x. Factor -17*b**2 + v*b**4 - 5*b**5 - 6*b**4 + 19*b**o - 3*b**2.
-5*b**2*(b - 2)**2*(b + 1)
Suppose -23*n - 70 = -18*n. Let g = n + 21. Determine b so that 2*b**2 - g + 0 - 2 + 7 = 0.
-1, 1
Suppose -26*u - 18 = -2*t - 31*u, 0 = 4*t - u - 36. Suppose -536 = t*k - 599. What is o in -k*o**5 + 0*o - o**2 + 9/2*o**3 - 3/2*o**4 + 0 = 0?
-1, 0, 2/7, 1/2
Suppose -2*f - 2*n + 8 = 0, -19*f = -23*f - 2*n + 24. Let l(x) be the first derivative of -2*x**2 + 2*x + 2/3*x**3 - f. Suppose l(q) = 0. Calculate q.
1
Let x = 362 - 47. Let f be -4 - ((-8)/28 - 1233/x). Solve 1/5 + f*h**2 - 2/5*h = 0.
1
Suppose 1/2*z**3 - 31*z - 60 + 59/2*z**2 = 0. What is z?
-60, -1, 2
Let c(t) be the first derivative of t**4/4 - 9*t**3 - t**2/2 + 27*t - 1183. Factor c(h).
(h - 27)*(h - 1)*(h + 1)
Let q = 117102 - 1053917/9. Factor 1/3*j**2 - 2/9*j**3 - q*j**4 - 4/9 + 4/9*j.
-(j - 1)**2*(j + 2)**2/9
Factor 0 - 520/3*k + 4/3*k**3 + 84*k**2.
4*k*(k - 2)*(k + 65)/3
Let x be (-6 + 8 + 42/49)/(-33 - -34). Suppose 3*o - 4 - 2 = 0. What is r in x*r + 0 - 2/7*r**o = 0?
0, 10
Let n(k) = 10 + 10 - 48 + 27 + k. Let d(t) = 4*t**2 + 205*t + 2707. Let p(y) = -d(y) - 3*n(y). Suppose p(z) = 0. What is z?
-26
Let g be (1 + -3)*(-11)/2. Let l(s) = 30*s + 423. Let h be l(-14). Factor -h*v + v**2 + 5*v**2 + 0*v**2 + g*v - 2*v**3.
-2*v*(v - 4)*(v + 1)
Let z(u) be the first derivative of 3*u**4/2 + 7*u**3/6 + u**2/4 + 1511. Factor z(n).
n*(3*n + 1)*(4*n + 1)/2
Let r(c) = -c**3 - 3*c**2 + 10*c + 3. Let w be r(-5). Solve 15*f**