y(a) be the third derivative of -a**9/120960 - a**8/13440 - a**7/5040 + 29*a**5/60 + 3*a**2. Let l(h) be the third derivative of y(h). Factor l(c).
-c*(c + 1)*(c + 2)/2
Let i be (20/9415)/(-4)*531. Let r = 1/269 - i. Factor r*a**2 + 4/7 + 6/7*a.
2*(a + 1)*(a + 2)/7
Let i(o) be the first derivative of 2*o**7/105 + o**6/30 - o**5/15 - o**4/6 + 18*o**2 + 36. Let j(q) be the second derivative of i(q). Factor j(z).
4*z*(z - 1)*(z + 1)**2
Let t(o) be the second derivative of -2*o + 0*o**2 + 0*o**5 + 1/75*o**6 + 0 - 1/30*o**4 + 1/30*o**3 - 1/210*o**7. Factor t(h).
-h*(h - 1)**3*(h + 1)/5
Let q(r) be the second derivative of r**6/240 - 53*r**5/80 + 2701*r**4/96 + 477*r**3/4 + 729*r**2/4 + 4*r + 43. Solve q(t) = 0.
-1, 54
Let c(p) = 15*p**5 - 20*p**4 + 75*p**2 - 75*p + 5. Let h(z) = 2*z**5 - z**2 + z + 1. Let y(v) = -c(v) + 5*h(v). Suppose y(j) = 0. Calculate j.
-2, 0, 2
Let j(s) = -s**3 + s**2 - s. Let d(k) = 4*k**4 + 16*k**3 - 16*k**2 + 8*k. Suppose -3*f = f + 4. Let m(x) = f*d(x) - 12*j(x). Factor m(h).
-4*h*(h - 1)*(h + 1)**2
Let a(g) = -4*g - 2. Let o be a(-1). Solve c**2 - c**2 + 0*c**2 + 16 + 4*c**o - 16*c = 0 for c.
2
Suppose 6/17*k**4 + 16/17*k**3 + 4/17*k**2 - 16/17*k - 10/17 = 0. Calculate k.
-5/3, -1, 1
Let x(f) be the second derivative of -2/15*f**6 + 32/3*f**3 + 9*f - 20*f**4 + 0*f**2 - 63/20*f**5 + 0. Solve x(v) = 0.
-8, 0, 1/4
Let p(y) be the second derivative of 1/4*y**3 + 7/16*y**4 + 0*y**2 + 0 - 4*y + 9/80*y**5. Determine t so that p(t) = 0.
-2, -1/3, 0
Let g(p) be the first derivative of 0*p + 4 - 1/6*p**3 + 1/4*p**4 + 0*p**2 - 1/10*p**5. Factor g(h).
-h**2*(h - 1)**2/2
Determine o, given that -7*o**4 - 43*o**3 - 6*o**5 + 2*o**4 + 41*o**3 + 3*o**5 = 0.
-1, -2/3, 0
Let j be 1*2*(-11)/6*(-225)/1100. Solve t**3 - 3/4*t**2 - 9/8*t + j*t**4 + 0 + 1/8*t**5 = 0 for t.
-3, -1, 0, 1
Let x(t) be the second derivative of -1/170*t**5 + 7*t - 4/17*t**2 + 7/51*t**3 + 0 - 1/51*t**4. Factor x(r).
-2*(r - 1)**2*(r + 4)/17
Let y(z) be the third derivative of -z**5/480 - 3*z**4/64 - z**3/6 - 27*z**2. Determine j so that y(j) = 0.
-8, -1
Let y(d) be the first derivative of d**4/22 - 14*d**3/33 + 15*d**2/11 - 18*d/11 + 176. Factor y(x).
2*(x - 3)**2*(x - 1)/11
Let p = -10 - -15. Let o = -5 + p. Determine d so that o + 4/7*d - 2/7*d**2 = 0.
0, 2
Let v(q) be the third derivative of 46*q**2 + 0 + 0*q**4 - 5/1344*q**8 + 1/120*q**5 + 0*q**3 + 0*q - 3/160*q**6 + 1/70*q**7. Determine w, given that v(w) = 0.
0, 2/5, 1
Let u be (-2)/(-2) + -7*10/(-70). Let r(k) be the third derivative of 0 + 0*k - 1/72*k**4 - 1/360*k**5 + 0*k**3 + 3*k**u. Factor r(c).
-c*(c + 2)/6
Let p(h) = -h**3 - 5*h**2 - 5*h - 2. Let u be p(-4). Factor 3 + 3*s + 16*s**u - 5 - 15*s**2 - 2*s.
(s - 1)*(s + 2)
Let t be 252/(-294)*56/(-180). Find d such that -4/5 - 14/15*d - t*d**3 + 6/5*d**2 = 0.
-1/2, 2, 3
Let i(t) be the first derivative of -3/40*t**5 + 0*t - 3/4*t**2 - t**3 + 1 - 15/32*t**4. Find r such that i(r) = 0.
-2, -1, 0
Factor -9*m**2 - 3*m**2 + 91342 + 231*m - 91399.
-3*(m - 19)*(4*m - 1)
Determine q so that 2/3*q**3 - 20/3*q**2 + 34/3*q - 16/3 = 0.
1, 8
Suppose -11*m + 14 = -4*m. Let o be m/(-3) + 165/180. Solve 1/2 - 3/4*c + o*c**2 = 0.
1, 2
Suppose 0*m - 3*f - 21 = -m, -4*m = f - 110. Suppose m*k - 10*k + 2*k**2 + k**3 - 20*k = 0. What is k?
-3, 0, 1
Let u(l) be the third derivative of -1/120*l**4 - 14*l**2 - 1/300*l**5 + 0*l + 0*l**3 + 0. Suppose u(h) = 0. What is h?
-1, 0
Let z(h) = -12*h**2 - 4*h - 10. Suppose -2*v = 4*v - 120. Let n(k) = k**2 + 1. Let p(a) = v*n(a) + 2*z(a). Let p(g) = 0. What is g?
-2, 0
Let m(c) = -c**3 - 8*c**2 + 2*c**3 - 11*c + 8 + c + 3. Let f be m(9). Factor 0*y**f + 5*y**2 - 9 - 6*y - 3*y**2 + y**2.
3*(y - 3)*(y + 1)
Let q(d) = -85*d - 7. Let x be q(-1). Let b = 80 - x. Determine z, given that -24/5*z**4 - 16/5*z**5 - 1/5*z**3 - 1/5*z + 0 + 6/5*z**b = 0.
-1, 0, 1/4
Solve -2*g + 30*g**4 - 54*g**3 - 42*g**3 - 30*g**2 + 28*g**5 + 70*g**3 = 0.
-1, -1/14, 0, 1
Let j(g) be the third derivative of g**6/300 + g**5/150 - g**4/5 + 311*g**2. Factor j(c).
2*c*(c - 3)*(c + 4)/5
Let x = 6618/5 + -1323. Factor -3/5 + 6/5*b**2 + 6/5*b**3 - 3/5*b - x*b**4 - 3/5*b**5.
-3*(b - 1)**2*(b + 1)**3/5
Suppose 0 = -49*g + 42*g - 7. Let k(f) = -f**3 + 8*f**2 + 5*f - 2. Let y be k(g). Find b, given that 0 + y*b**3 + 2/3*b**4 + 2*b**2 + 2/3*b = 0.
-1, 0
Let q be ((-4)/8)/(1/(-4)). Let w be (-1 + (-4)/8)*(-16)/72. Determine b, given that b**q - 2/3*b - w = 0.
-1/3, 1
Let w(g) be the third derivative of 2*g**7/105 + g**6/15 - 7*g**5/15 - 10*g**4/3 - 8*g**3 + 54*g**2. Factor w(n).
4*(n - 3)*(n + 1)*(n + 2)**2
Let s = 844199/9 + -93200. Let t = -599 + s. Find d such that -2/9*d**4 + 0 + t*d**3 + 4/9*d - 10/9*d**2 = 0.
0, 1, 2
Let o(f) = f**2 + 2*f. Suppose 6*x - 30 = 11*x. Let u(p) = -2*p. Let a(q) = x*u(q) - 4*o(q). What is h in a(h) = 0?
0, 1
Suppose -860*w + 852*w = -16. Factor 2/3*c + c**w + 0 + 1/3*c**3.
c*(c + 1)*(c + 2)/3
Let m = 3521 + -3518. What is u in -1/5*u**m - 1/5*u**2 + 0 + 0*u = 0?
-1, 0
Let i(g) be the third derivative of -g**8/336 - g**7/30 - g**6/12 + 3*g**5/10 + 9*g**4/8 - 9*g**3/2 - 72*g**2. Determine q so that i(q) = 0.
-3, 1
Suppose -16*i + 54 = 2*i. Let a(s) be the first derivative of 9/4*s**4 + 9/5*s**5 + s**i + 0*s + 0*s**2 + 4 + 1/2*s**6. Factor a(w).
3*w**2*(w + 1)**3
Factor -5/6*q - 1/3*q**3 + 0 - 7/6*q**2.
-q*(q + 1)*(2*q + 5)/6
Let o(j) = -17*j**3 - 481*j**2 - 7183*j - 6719. Let c(h) = 4*h**3 + 120*h**2 + 1796*h + 1680. Let z(u) = -18*c(u) - 4*o(u). Factor z(q).
-4*(q + 1)*(q + 29)**2
Let b(n) = 5*n**2 - 9*n - 8. Let y(z) = -z**2 + z + 1. Let f(d) = d**3 + 8*d**2 + 5*d - 15. Let a be f(-7). Let l(r) = a*b(r) - 6*y(r). Let l(g) = 0. What is g?
-2, -1
Let v(y) be the third derivative of -y**9/2268 + y**7/315 - y**5/90 + 3*y**3/2 - 10*y**2. Let u(q) be the first derivative of v(q). Factor u(d).
-4*d*(d - 1)**2*(d + 1)**2/3
Suppose -4*w = -2*d - 24, 5*w - 5*d = 92 - 52. Let u(b) be the second derivative of 0 - 1/4*b**w + 3*b + 0*b**2 - 1/2*b**3. What is a in u(a) = 0?
-1, 0
Let u(w) be the second derivative of -w**6/540 - w**5/90 + w**4/12 - 8*w**3/3 + 24*w. Let g(o) be the second derivative of u(o). Factor g(x).
-2*(x - 1)*(x + 3)/3
Suppose 11 = 3*s + 4*m, 3*m = -5*s + 6 + 5. Let b be 5/1 - -3 - (3 + s). Factor -3/2*v**2 + 1/2*v**b + 1/2*v + 1 - 1/2*v**3.
(v - 2)*(v - 1)*(v + 1)**2/2
Let b(i) be the first derivative of -4*i**3/21 - 24*i**2/7 + 52*i/7 - 233. Factor b(z).
-4*(z - 1)*(z + 13)/7
Let a(y) = 27*y**3 + 42*y**2 - 27*y - 48. Let x(w) = w**4 - w**3 + w + 1. Let s(u) = a(u) + 3*x(u). Suppose s(g) = 0. Calculate g.
-5, -3, -1, 1
Suppose -61*d = -59*d + 4*f - 20, 0 = -4*d + 5*f + 1. Factor 4/7*h**d + 0 + 12/7*h**2 + 20/7*h**3 - 36/7*h.
4*h*(h - 1)*(h + 3)**2/7
Suppose 5*l - v - 49 = 0, -3*l + 23 = -0*l + v. Suppose o + 6 = 4*o. Factor -6*q + 16*q**2 - 6*q**o - l - 11*q**2.
-(q + 3)**2
Let l = 16 - 11. Find z, given that 4*z**5 + l*z**3 - 3*z**5 + 10*z**4 + 4*z**5 + 0*z**5 = 0.
-1, 0
Let q(m) be the second derivative of -15*m + 0 - 3/200*m**5 + 1/300*m**6 + 1/120*m**4 + 1/20*m**3 - 1/10*m**2. Determine a, given that q(a) = 0.
-1, 1, 2
What is b in -5*b + 5*b**2 - 8*b**3 + 3*b**3 + 6*b + 5*b + 4*b = 0?
-1, 0, 2
Let d be (-2)/(-1) + (-8)/(-4). Suppose 2*f + 0*f = d*n - 14, 19 = -n + 5*f. Suppose 15*t - 2*t**3 - 5*t + n - t - t**3 = 0. Calculate t.
-1, 2
Let s(a) be the second derivative of -1/140*a**5 + 1/21*a**4 - 1/14*a**3 - 19*a + 0 + 0*a**2. Factor s(x).
-x*(x - 3)*(x - 1)/7
Let z(m) = 142*m - 284. Let i be z(2). Determine l, given that 1/8*l**3 + i*l**2 + 1/4 - 3/8*l = 0.
-2, 1
Let d(w) be the third derivative of w**5/12 + 65*w**4/12 - 45*w**3/2 + 62*w**2 + 2. Determine a so that d(a) = 0.
-27, 1
Let o(c) = c**3 + 5*c**2 - c + 2. Let w be o(-5). Suppose -7*j = -8*j + 6. Let -d - 6*d**3 - w*d - 9*d**4 + 14*d**2 + j*d**2 = 0. Calculate d.
-2, 0, 2/3
Let f be 4/(-14) - 80/(-35). Suppose 0 = -f*i - i + 9. Solve a**2 + i*a**5 - 3 - 3*a**4 + 3*a - 6*a**3 - a**2 + 6*a**2 = 0 for a.
-1, 1
Let p(f) be the third derivative of -27*f**7/35 - 21*f**6/10 - 13*f**5/30 + 7*f**4/3 - 4*f**3/3 + 28*f**2. Suppose p(d) = 0. What is d?
-1, 2/9
Let 54*v + 97 - 34*v - 77 + 5*v**2 = 0. What is v?
-2
Let f = 4053 + -4053. Find m such that f*m - 1/5*m**3 - 3/5*m**2 + 0 = 0