*3 = 0.
1, 2
Let g = 720 + -3673/5. Let o = g - -15. Factor -2/5*r**2 - o + 48/5*r**3 - 32/5*r**4 - 12/5*r.
-2*(r - 1)**2*(4*r + 1)**2/5
Let u be 337/1 + 2 - (0 + -3). Suppose -2*g - 1105 = -5*v, 4*v - u = -4*g + 514. Find b, given that -v*b**2 - 1202*b**3 - 1026*b - 318 + 75 + 1190*b**3 = 0.
-9, -1/4
Let k(o) be the first derivative of -o**8/336 + o**7/105 + o**6/40 + 105*o**2/2 + 90. Let b(j) be the second derivative of k(j). Solve b(g) = 0.
-1, 0, 3
Let g(w) = -493 - w**2 + 82 - 15*w - 420 - 43*w. Let u(f) = -f**2 - 58*f - 829. Let n(q) = -6*g(q) + 5*u(q). Factor n(a).
(a + 29)**2
Let s(o) be the first derivative of 1/36*o**6 + 155 - 7/12*o**2 + 1/4*o**4 + 1/9*o**3 + 1/2*o - 1/6*o**5. Factor s(m).
(m - 3)*(m - 1)**3*(m + 1)/6
Let g(z) be the third derivative of -5*z - 1/150*z**6 + 1/25*z**5 - z**2 + 0*z**3 + 2/15*z**4 + 0. What is r in g(r) = 0?
-1, 0, 4
Let u(y) be the first derivative of y**4/3 - 14*y**3 - 44*y**2 - 28*y + 104. Let p(o) be the first derivative of u(o). Solve p(s) = 0 for s.
-1, 22
Let l = 146 - 144. Suppose -17975 + 17975 + 8*q + l*q**2 = 0. What is q?
-4, 0
Factor 46/21*j - 44/21 - 2/21*j**2.
-2*(j - 22)*(j - 1)/21
Let a(z) = -2*z + 20. Let r be a(13). Let k = -11/2 - r. Factor 0 + 1/2*n + 12*n**4 + 8*n**5 - 3*n**2 + k*n**3.
n*(n + 1)**2*(4*n - 1)**2/2
Let l(v) be the second derivative of 19 - 3*v + 1/102*v**4 + 0*v**2 + 1/17*v**3. Factor l(n).
2*n*(n + 3)/17
Suppose 3*f + 19 - 7 = 0. Let l be 4/(8/(-4)*f/16). Factor l*o**4 + 41*o**2 - 4*o**3 - 22*o**2 - 23*o**2.
4*o**2*(o - 1)*(2*o + 1)
Find h, given that 4760*h + 24*h**2 - 302*h**2 + 2013 + 437 - 4037*h**3 + 4041*h**3 = 0.
-1/2, 35
Let s be (6 - 5)/(26/8). Let f = -296236 - -296238. Factor -2/13*g - 2/13*g**3 + 0 + s*g**f.
-2*g*(g - 1)**2/13
Suppose 54*c = 52*c + 8. Let j be ((-45)/72*c)/(-5). Determine z, given that -3/2*z**2 + 3/2*z + 1/2*z**3 - j = 0.
1
Let b be 9/2*(-48)/36*1. Let o be ((-42)/224*18)/(b/40). Solve o*i**2 + 25/2*i**3 + 5/4*i**5 - 135/4*i - 135/4 - 35/4*i**4 = 0 for i.
-1, 3
Let w(i) be the third derivative of 0*i**3 - 1/600*i**6 - 7*i**2 - 1/75*i**5 - 1/30*i**4 + 0*i - 2. Factor w(o).
-o*(o + 2)**2/5
Find x, given that -57 - 133*x + 13 - 91*x**2 + 2254*x**3 - 2256*x**3 = 0.
-44, -1, -1/2
Let t = 34591/138388 + 3/69194. Factor -t*w**3 + 0 + 0*w + 7/4*w**2.
-w**2*(w - 7)/4
Let q(o) = -5*o**2 + 0*o**2 + 199*o - 96*o - 497. Let j(f) = f + 1. Let m(t) = 3*j(t) - q(t). Solve m(r) = 0 for r.
10
Factor 15*y + 0*y**3 + 20*y**2 + 3*y**3 + 100 - 112 + 25*y - 11*y.
(y + 3)*(y + 4)*(3*y - 1)
Let d(h) = -h**2 - 32*h + 31. Let w be d(-25). Factor 215*r**3 - 260*r - w*r**3 - 321*r**2 - 5*r**4 - 279*r**3 - 204*r**2.
-5*r*(r + 1)**2*(r + 52)
Solve 91*f**3 + 21*f - 278*f**3 + 36*f**2 + 90*f**3 + 13*f + 99*f**3 = 0 for f.
-17, -1, 0
Let f(n) be the first derivative of n**3/12 + 13*n**2/2 + 451*n/4 - 521. Determine p so that f(p) = 0.
-41, -11
Solve -58 - 3*w**2 + 1067 + 1782*w + 268 - 117 + 625 = 0 for w.
-1, 595
Suppose -1146/7*s**2 + 570/7*s**3 + 2/7*s**4 + 0 + 82*s = 0. What is s?
-287, 0, 1
Factor -123008/3 + 488/3*d**3 - 2/3*d**4 - 121024/3*d - 9592*d**2.
-2*(d - 124)**2*(d + 2)**2/3
Let a(q) be the first derivative of -2/63*q**3 + 121 + 5/7*q**2 - 4/3*q. Let a(c) = 0. What is c?
1, 14
Suppose 3*r + j = -79, j + 20 = 5*j. Let t = r + 30. Factor -4*x**3 - 160*x**5 + 7*x**4 - x**t - 2*x + 162*x**5 + 10*x**3.
x*(x + 1)**2*(x + 2)*(2*x - 1)
Let l(m) be the third derivative of -1/2*m**4 + 3/70*m**7 + 4*m**2 + 0*m**3 - 13/15*m**5 + 11/120*m**6 - 8*m + 0. Factor l(d).
d*(d - 2)*(d + 3)*(9*d + 2)
Let b be 2/(-4) - 462/(-132). Let q(y) be the first derivative of 30 - 5/4*y**4 + 20/3*y**b - 10*y**2 + 0*y. Factor q(w).
-5*w*(w - 2)**2
Let w(k) be the third derivative of -2/105*k**7 - 1/168*k**8 + 0*k**4 + 0*k + 0*k**3 + 4/15*k**5 - 35*k**2 - 2 + 1/15*k**6. Factor w(f).
-2*f**2*(f - 2)*(f + 2)**2
Let x(b) be the first derivative of -10*b + 0*b**2 - 1/10*b**5 + 15 + 0*b**3 + 1/2*b**4. Let w(i) be the first derivative of x(i). Factor w(k).
-2*k**2*(k - 3)
Let o(p) be the second derivative of p**6/30 + 47*p**5/10 + 767*p**4/4 + 2162*p**3/3 + 1058*p**2 + 15*p + 36. Find d, given that o(d) = 0.
-46, -1
Let s(k) = 11*k**3 - 20*k**2 - 99*k - 120. Let m(u) = -24*u**3 + 40*u**2 + 199*u + 239. Let n(j) = 6*m(j) + 13*s(j). Let n(w) = 0. Calculate w.
-14, -3
Let f(k) be the first derivative of 11 + 1/3*k - 2/9*k**2 + 1/9*k**4 - 1/45*k**5 - 2/27*k**3. Solve f(b) = 0.
-1, 1, 3
Let i(n) be the first derivative of -n**5/40 - 5*n**4/12 + 11*n**3/12 - 146*n - 119. Let o(x) be the first derivative of i(x). Factor o(g).
-g*(g - 1)*(g + 11)/2
Let u(k) be the first derivative of 6*k**4 + 0*k + 32*k**3 + 240 + 3/10*k**5 + 0*k**2. Factor u(r).
3*r**2*(r + 8)**2/2
Let j(a) be the first derivative of -a**5/15 + a**4/2 - 4*a**3/3 - 33*a**2/2 - 26. Let k(y) be the second derivative of j(y). Factor k(t).
-4*(t - 2)*(t - 1)
Let t(u) be the third derivative of u**5/180 + 685*u**4/72 + 341*u**3/3 + 5*u**2 - 6*u - 1. Factor t(z).
(z + 3)*(z + 682)/3
Let y be -6*((-135)/(-25) + 1)*(-10)/54. Determine c so that 4/9*c**2 + 20/3 + y*c = 0.
-15, -1
Let y = 2748981/5 - 549796. Let 1/10*f**2 + 1/10*f**3 + 0 - y*f = 0. Calculate f.
-2, 0, 1
Let x(p) be the first derivative of -p**6/12 + p**5/10 + 9*p**4/8 - 5*p**3/6 - 4*p**2 + 6*p + 1404. Suppose x(n) = 0. What is n?
-2, 1, 3
Let h = -2807 - -2810. Let n(o) be the third derivative of 0 + o**2 + 1/6*o**h + 1/240*o**5 - 1/24*o**4 + 0*o. Factor n(w).
(w - 2)**2/4
Let q(c) be the third derivative of -c**6/30 + 103*c**5/15 - 1400*c**4/3 + 5000*c**3 - 759*c**2 + c + 2. What is i in q(i) = 0?
3, 50
Let w be (-10 + -3*(-48)/18)/(-14). Let 0 + 11/7*q - w*q**2 = 0. Calculate q.
0, 11
Factor -9671071 + 12438*z - 14594974 + 9592*z - 5*z**2.
-5*(z - 2203)**2
Factor -1/5*x**5 + 0 + x**4 - 7/5*x**3 + 0*x + 3/5*x**2.
-x**2*(x - 3)*(x - 1)**2/5
Let x(p) be the second derivative of 4/15*p**3 - 1/50*p**5 - 1/10*p**4 + 0*p**2 + 0 + 63*p. Let x(v) = 0. What is v?
-4, 0, 1
Let a(u) be the third derivative of -u**7/525 - 46*u**6/75 - 181*u**5/50 + u**4/15 + 724*u**3/15 + 2766*u**2 - 1. Let a(i) = 0. What is i?
-181, -2, 1
Let p be (0 + -2)*12555/(-270). Let d be p/(-30) + (-108)/(-27). Find u, given that -d + 3/10*u**4 + 3/5*u**3 - u**2 - 1/10*u**5 - 21/10*u = 0.
-1, 3
Find x such that -78/5*x + 22/3*x**2 - 114/5 + 2/15*x**3 = 0.
-57, -1, 3
Let s = 374 - 368. Let j be 0/(s*(0 + (-5)/15)). What is p in 2/5*p**4 - 2/5*p**2 - 4/15*p + 2/15*p**3 + j + 2/15*p**5 = 0?
-2, -1, 0, 1
Factor -7*v**2 + 496 + 2*v**2 - 2380*v + 787 + 443 + 659.
-5*(v - 1)*(v + 477)
Solve -312/5*p**2 - 3/5*p**3 + 1311/5*p + 324 = 0.
-108, -1, 5
Suppose -3*c - 15 + 87 = 0. Suppose c = 5*p + o, p = 2*p - o. Let 14*t**p - 24*t**5 - 16/3 - 92*t**2 + 202/3*t**3 + 40*t = 0. What is t?
-2, 1/4, 2/3, 1
Let v(q) = -2*q**3 + 43*q**2 - 58*q - 156. Let j be v(3). What is t in 19/5*t - 1/5*t**j + 8/5*t**2 + 2 = 0?
-1, 10
Let o = 15452/15 + -1030. Let x(f) be the second derivative of 8*f + 0*f**3 - 1/3*f**4 + 0 + 0*f**2 + o*f**6 + 0*f**5. Factor x(k).
4*k**2*(k - 1)*(k + 1)
Let t = 144471 - 144467. Determine m, given that 12/7 + 39/7*m**2 - 18/7*m**3 - 36/7*m + 3/7*m**t = 0.
1, 2
Let y(x) be the second derivative of -x**6/18 - 115*x**5/12 - 1250*x**4/3 + 5000*x**3 + 6*x - 158. Factor y(b).
-5*b*(b - 5)*(b + 60)**2/3
Let d(x) be the third derivative of -x**8/4032 - x**7/252 - x**6/48 + 13*x**5/15 + 40*x**2. Let m(z) be the third derivative of d(z). Solve m(a) = 0.
-3, -1
Let j = 5 + -2. Let o(y) = 92*y + 3406. Let u be o(-37). Factor -183*f**j - 9*f + 171*f**3 + 0*f - 21*f**u.
-3*f*(f + 1)*(4*f + 3)
Let d(n) be the second derivative of -n**6/10 - 333*n**5/70 - 89*n**4/7 + 60*n**3/7 - 25*n - 1. Determine l so that d(l) = 0.
-30, -2, 0, 2/7
Factor -2/21*j**2 + 536/21*j + 538/21.
-2*(j - 269)*(j + 1)/21
Let c = -2681 - -2684. Let f(s) be the first derivative of -12*s - c*s**2 - 1/4*s**3 + 13. Factor f(o).
-3*(o + 4)**2/4
Let i be ((-35)/(-10) - 3)/((-6)/12). Let k be 92/805*(i + (-22)/(-2)). Suppose -2/7*l**5 + 8/7*l**2 - 6/7*l**3 + 8/7*l + 0 - k*l**4 = 0. What is l?
-2, -1, 0, 1
Let a = -315 - -661. Factor 350*f - a*f + 4 - 6 - 2*f**2.
-2*(f - 1)**2
Solve 393 - 82*t**2 + 182*t**2 - 60*t - 101*t**2 - 68*t = 0 for t.
-131, 3
Let z(x