 + 0 + 2/5*v**i.
2*v**2*(v + 4)/5
Let f(s) be the first derivative of 5*s**4 + 94 + 0*s + 0*s**2 + 0*s**3 + 4/5*s**5. Suppose f(c) = 0. What is c?
-5, 0
Suppose -115*a = -125*a + 30. Suppose a*b - 4*b = 4, 4*s + 2*b = -8. Factor 0*u + 1/3*u**3 + s - 1/3*u**2.
u**2*(u - 1)/3
What is x in -6/7*x**5 - 256/7*x + 614/7*x**2 - 24 + 82/7*x**4 - 362/7*x**3 = 0?
-1/3, 2, 3, 7
Let s(c) = -54*c**2 - 645*c - 7659. Let p(g) = 41*g**2 + 484*g + 5744. Let k(d) = 21*p(d) + 16*s(d). Let k(u) = 0. Calculate u.
-32, -20
Factor -41*x**2 + 134*x + 165*x + 8*x**3 - 501*x + 88*x.
x*(x + 2)*(8*x - 57)
Let y be (-2)/(8 - 3 - 0 - 9). Factor 1/8*t**3 + t - 5/8*t**2 - y.
(t - 2)**2*(t - 1)/8
Let i(t) be the first derivative of t**5 + 0*t**2 + 0*t + 5/3*t**3 + 46 - 5/2*t**4. Find g such that i(g) = 0.
0, 1
Let i = -465 - -470. Let k(z) be the second derivative of -5/2*z**3 - 3/20*z**i + 0 - 3*z**2 - z**4 + 15*z. Factor k(q).
-3*(q + 1)**2*(q + 2)
Let j = -15 + 34. Let f = j + -16. Factor 24*m**3 - 55*m**f - 2*m**4 + 29*m**3.
-2*m**3*(m + 1)
Suppose -57*v - 32 = -65*v. Let n be (-55)/60 + (v - 42/18). Solve 0 - 9/8*w + 3/8*w**3 - n*w**2 = 0.
-1, 0, 3
Suppose 0*s + 5*s - 2*h = -55, -5*h - 38 = s. Let p = 21 + s. Factor 2*r**2 + 13*r**4 - 10*r**4 - 2*r**3 + 5*r**3 - p*r**2.
3*r**2*(r - 1)*(r + 2)
Find c such that 0*c + 0 + 64/3*c**4 + 2/3*c**5 - 44*c**2 - 70/3*c**3 = 0.
-33, -1, 0, 2
Let f be 287/49 + 11/77. Let k(h) = 37*h - 218. Let w be k(f). Factor -32/9 + 0*m**2 + 2/9*m**w + 8/9*m**3 - 32/9*m.
2*(m - 2)*(m + 2)**3/9
Let j(b) be the third derivative of 3*b**3 + 0 + 1/100*b**5 - 17/40*b**4 - 13*b**2 - 2*b. Suppose j(c) = 0. Calculate c.
2, 15
Suppose -192*a + 2*j = -197*a + 28, -5*a - 4*j + 36 = 0. Factor 0*f**3 - 6/5*f**a + 0*f - 3/5*f**5 + 0*f**2 + 0.
-3*f**4*(f + 2)/5
Let o(f) be the first derivative of f**7/168 + f**6/8 + 5*f**5/8 + 35*f**4/24 - f**3/3 + 9*f**2/2 + 71. Let v(g) be the third derivative of o(g). Factor v(i).
5*(i + 1)**2*(i + 7)
Let j(z) = -z**3 + 12*z**2 - 13*z - 68. Let d be j(10). Suppose -162 - 132 + 34*w + 370 - d*w**2 = 0. Calculate w.
-2, 19
What is t in 0 + 2*t**4 + 2/3*t**5 - 2*t**3 - 14/3*t**2 + 4*t = 0?
-3, -2, 0, 1
Let i(d) = 125*d**2 + 13470*d + 530085. Let g(s) = -22*s**2 - 2377*s - 93545. Let r(b) = 40*g(b) + 7*i(b). Suppose r(m) = 0. Calculate m.
-79
Let q(z) be the second derivative of z**5/12 + 215*z**4/24 + 12*z**2 - 107*z. Let b(g) be the first derivative of q(g). Factor b(o).
5*o*(o + 43)
Let v(l) be the second derivative of -30*l + 1/16*l**4 - 3/80*l**5 + 1/2*l**3 + 0 - 3/2*l**2. Factor v(w).
-3*(w - 2)*(w - 1)*(w + 2)/4
Suppose -10*j + 6*j + 25 = 1. Let v(f) be the third derivative of 1/32*f**4 - 1/160*f**j + 0*f + 0*f**3 + 1/80*f**5 + 0 - 1/280*f**7 + 17*f**2. Factor v(d).
-3*d*(d - 1)*(d + 1)**2/4
Let n be -30 - (-9207)/(-155)*96/(-176). Factor 0 + n*f**3 - 48/5*f**2 + 6/5*f**4 + 0*f.
6*f**2*(f - 2)*(f + 4)/5
Let v(d) be the second derivative of d**4/48 - 19*d**3/24 - 75*d**2/4 - 8*d - 2. Factor v(q).
(q - 25)*(q + 6)/4
Let t be 11628/(-304)*1/6 + 7. Let n(b) be the third derivative of 1/20*b**5 + 0 + t*b**4 + 3*b**3 + 0*b + 23*b**2. Factor n(a).
3*(a + 2)*(a + 3)
Let i(d) be the first derivative of 16*d**5/21 - 2893*d**4/21 - 194*d**3/3 + 1013*d**2/21 + 580*d/21 - 5485. Let i(x) = 0. Calculate x.
-1/2, -1/4, 2/5, 145
Let v be 5 + 0 - (3 + -5 - 169). Factor 19*r**2 + 16 - 135*r**2 + v*r + 24*r**2.
-4*(r - 2)*(23*r + 2)
Let v(o) = o**3 + 14*o**2 - 13*o + 5. Let q be v(-15). Let y = -23 - q. Suppose -3*j - 1/3*j**3 + 4/3 + y*j**2 = 0. Calculate j.
1, 4
Let l(a) be the second derivative of -1/9*a**4 + 0*a**2 + 0*a**3 + 88*a + 1/20*a**5 + 1/90*a**6 + 0. Suppose l(f) = 0. Calculate f.
-4, 0, 1
Factor -8543 + 7215 - 3774*x**2 - 20352 + 5*x**3 - 21660*x - 1626*x**2.
5*(x - 1084)*(x + 2)**2
Let h(f) be the first derivative of 1/15*f**5 + 0*f + 1/36*f**6 + 24 + 0*f**3 + 1/24*f**4 + 0*f**2. Determine p, given that h(p) = 0.
-1, 0
Let b(f) = 1178*f**3 + 7248*f**2 + 10440*f - 933. Let t(z) = 196*z**3 + 1208*z**2 + 1740*z - 156. Let g(d) = 4*b(d) - 23*t(d). Factor g(y).
4*(y + 3)**2*(51*y - 4)
Let z(r) be the first derivative of -r**6/10 - 3*r**5/2 - 42*r + 94. Let t(b) be the first derivative of z(b). Suppose t(s) = 0. What is s?
-10, 0
Suppose 13*w + 1101 = 12*w. Let h = 1101 + w. Factor 0 + h*b - 2/13*b**3 - 2/13*b**2.
-2*b**2*(b + 1)/13
Let r(b) = -b**3 + 2*b**2 + 2*b. Let m(v) = 6*v**3 + 298*v**2 + 337*v + 50. Let t(s) = -m(s) + 5*r(s). Solve t(k) = 0 for k.
-25, -1, -2/11
Suppose 6295*g**4 - 1345*g**3 + 928182*g**2 - 13988*g**3 - 6232*g**4 + 579012*g + 89304 = 0. What is g?
-1/3, -2/7, 122
Let s(t) be the first derivative of -t**5/40 + 7*t**4/32 - 17*t**3/24 + 17*t**2/16 - 3*t/4 - 370. Factor s(v).
-(v - 3)*(v - 2)*(v - 1)**2/8
Suppose -82 - 105 = -37*m + 220. Let q(i) be the first derivative of -m + 0*i + 40/9*i**3 + 1/3*i**4 + 50/3*i**2. Factor q(d).
4*d*(d + 5)**2/3
Solve 52/9*b**2 - 2/9*b**3 + 110/9*b + 56/9 = 0.
-1, 28
Let o(n) be the first derivative of -2*n**5/105 - 5*n**4/21 + 1331. Suppose o(x) = 0. Calculate x.
-10, 0
Suppose -4*x + 21 + 13 = 3*d, -2*d - x + 16 = 0. Solve 38*m**2 - m**3 - 30*m**2 + m**4 + d*m**3 + 4*m = 0 for m.
-2, -1, 0
Suppose -s + 4*u - 2 = 0, -3 = -3*s + 147*u - 144*u. Factor 408/5*l + 8/5 + 5202/5*l**s.
2*(51*l + 2)**2/5
Let s(w) = 2*w**2 + 1232*w - 1312. Let n(k) = -3*k**2 - 1232*k + 1326. Let h(p) = 6*n(p) + 7*s(p). Factor h(f).
-4*(f - 307)*(f - 1)
Let f(i) be the first derivative of 81/5*i**5 + 89*i**3 - 95 + 45*i**2 - 1/2*i**6 + 261/4*i**4 + 0*i. Factor f(q).
-3*q*(q - 30)*(q + 1)**3
Let w be (-1680)/(-882) + 5*8/420. Let x(z) be the first derivative of -7/3*z**3 + 9/2*z**2 - w*z + 17. What is o in x(o) = 0?
2/7, 1
Solve 16*i**2 - 27*i - 41*i - 3*i**3 - 60 + 62*i - 40*i + 5*i**3 = 0.
-10, -1, 3
Let j be ((-1)/3)/(((-775)/992)/25). Let -2*a**2 + 0*a - 1/3*a**3 + j = 0. Calculate a.
-4, 2
Let j be (-20)/8*(-17944)/20. Let 24*v**2 - j*v + 2222*v - 12*v**3 + 9*v**3 = 0. What is v?
0, 1, 7
Let w(x) be the second derivative of 30 + 14/3*x**3 + 1/3*x**4 - 88*x**2 - 2*x. Let w(i) = 0. Calculate i.
-11, 4
Find w, given that 3/5*w**2 + 5696652/5 + 8268/5*w = 0.
-1378
Let s(p) = p**2 - p + 1. Let y(b) = 4*b**2 - 828*b + 1664. Let r(n) = 8*s(n) - y(n). Factor r(q).
4*(q - 2)*(q + 207)
Let t(w) = -46*w**3 + 430*w**2 + 1914*w + 2488. Let r(k) = 4*k**3 - 39*k**2 - 174*k - 226. Let j(g) = 68*r(g) + 6*t(g). Solve j(h) = 0.
-11, -5, -2
Let x(k) be the third derivative of 9*k**2 + 8/5*k**3 - 1/15*k**4 - 1/60*k**5 + 0 + 1/600*k**6 + 0*k. Determine a so that x(a) = 0.
-3, 4
Let y = 739 + -107. Let x = y + -417. Factor 5 + 23 + x*k + 605*k**2 + 5*k - 8.
5*(11*k + 2)**2
Let f(w) be the third derivative of -1/1050*w**7 + 1/1680*w**8 + 0*w**6 + 0*w**4 + 3 + 0*w**3 - 30*w**2 + 0*w + 0*w**5. Factor f(x).
x**4*(x - 1)/5
Suppose 44 = 12*n - n. Suppose -19 = 3*p + n*f + f, -5*f - 35 = -5*p. Factor 4*r - 481 + 2*r**3 - 6*r**p + 481.
2*r*(r - 2)*(r - 1)
Solve 1268 + 30876 + 15*x**3 - 7*x**3 + 52*x**2 + 0*x**3 - 4*x**3 - 3808*x = 0 for x.
-41, 14
Let s = -1844 + 1238. Let p = s - -2427/4. Factor -3/8*c**4 - 27/8*c**2 - p + 15/8*c**3 + 21/8*c.
-3*(c - 2)*(c - 1)**3/8
Suppose 0 = 28*w - 24*w - a - 6, 0 = w - 5*a + 8. Solve 0*t - 1/4 + 1/4*t**w = 0 for t.
-1, 1
Solve -191/4*z**2 - 9215/4*z - 9025/4 - 1/4*z**3 = 0 for z.
-95, -1
Suppose -7524 = -w - 8*w. Suppose 16*d - 20*d = -w. Factor -4*n + 3*n**3 + n**4 - d*n**2 + 209*n**2.
n*(n - 1)*(n + 2)**2
Let t = -116117 + 1045055/9. Solve t*k**2 - 34/9*k + 0 = 0.
0, 17
Let h(n) = -8*n**2 - 432*n - 12. Let r(m) = 112*m + 158427*m**2 - 158424*m**2 + 60*m + 5. Let f(y) = -5*h(y) - 12*r(y). Factor f(z).
4*z*(z + 24)
Let c(u) = 2*u**2 - 5*u - 1. Suppose -5*s - f = -3*f - 9, 0 = 5*s + 2*f - 21. Let x be c(s). Find n, given that -7*n**2 + 2*n**2 + n**2 + 0*n**x = 0.
0
Let d be (-120)/3*84/(-672). Let p(u) be the second derivative of -3/5*u**2 - 3/100*u**d + 0 - 10*u - 1/2*u**3 - 1/5*u**4. Solve p(k) = 0.
-2, -1
Suppose 17164*p - 5*y = 17166*p + 31, 4*p + 5*y = -27. Let 31/2*z**2 + 3/4*z**5 - 4*z**4 + 9/2 - 75/4*z + p*z**3 = 0. What is z?
-2, 1/3, 1, 3
Let r = -1189 - -1194. Suppose -4*g + r*w + 15 = 0, 0 = 5*g - 9*g - 2*w + 22. Let -5*u**2 + 3 + 0*u**3 + 1/2*u**g - 1/2*u + 2*u**4 = 0. What is