 the second derivative of h(l). Factor f(b).
2*b**2*(b - 10)/3
Let g = 16 - 22. Let t = g + 8. Determine d, given that d**2 - 2*d - 2*d**2 + 2 + 0*d**t + d = 0.
-2, 1
Let o(g) be the first derivative of -2*g**5/15 - 235*g**4/18 + 316*g**3/27 + 101. Factor o(b).
-2*b**2*(b + 79)*(3*b - 2)/9
Let p(u) be the second derivative of 0*u**3 - 14*u + 1/48*u**4 + 0*u**2 + 1/80*u**5 - 1/120*u**6 - 1/168*u**7 + 0. Find q, given that p(q) = 0.
-1, 0, 1
Let l be (0 - (-1 + 1))*(216 + -217). Let y(z) be the third derivative of 1/18*z**4 + 0*z**3 - 4*z**2 + 0 - 1/90*z**5 + l*z. Factor y(h).
-2*h*(h - 2)/3
Suppose -2*f - 5*o + 9 = -0*o, 5*f = -2*o + 12. Factor -i**3 + 3*i**4 + 2*i**5 - 4*i**2 + 2 + 0*i**f + 2*i - i**4 - 3*i**3.
2*(i - 1)**2*(i + 1)**3
Let l = 39072 - 39070. Suppose 1/3*u**2 + 3 + l*u = 0. What is u?
-3
Let z(c) = 12*c**2 + 24*c + 2. Let d be z(-2). Find h, given that -2/3*h**5 - 2/3 - 10/3*h - 20/3*h**d - 10/3*h**4 - 20/3*h**3 = 0.
-1
Let k(i) be the third derivative of i**9/25704 - i**8/14280 + 7*i**3/3 + 3*i**2. Let h(o) be the first derivative of k(o). Let h(b) = 0. What is b?
0, 1
Let b(c) be the third derivative of -c**5/360 + c**4/36 + c**3/3 - 200*c**2. Factor b(a).
-(a - 6)*(a + 2)/6
Factor 2/9*x - 4/9 + 2/3*x**2.
2*(x + 1)*(3*x - 2)/9
Let h be (1/5)/((-14)/(-10)). Let m(d) be the third derivative of 0 - 1/210*d**5 - 4*d**2 + 1/42*d**4 + 0*d + h*d**3. Determine q so that m(q) = 0.
-1, 3
Let i(c) be the third derivative of -9*c**2 + 0 + c**4 + 12/13*c**3 + 49/390*c**5 + 0*c + 1/195*c**6. Find o, given that i(o) = 0.
-6, -1/4
Let h be 10/(-2) + 11 + -12 + 11. Let 0*a - 10/3*a**h + 4/3*a**3 + 0*a**2 + 0 - 2*a**4 = 0. What is a?
-1, 0, 2/5
Let z(k) = k - 3. Let g be z(6). Let 10 - 4*q**4 - 5*q**2 - 10*q - 5*q - q**4 + 15*q**g = 0. What is q?
-1, 1, 2
Let r(y) = 2*y**2 - 1. Let q(v) = -5*v**2 + 21*v - 18. Let x(k) = -q(k) - 2*r(k). Let x(z) = 0. What is z?
1, 20
Let p(n) = n**3 + 5*n**2 + 5*n + 10. Let j be p(-4). Factor 2*r**3 + 6 - 6*r**3 - j + 4*r.
-4*r*(r - 1)*(r + 1)
Let g be (-1403)/598 - (-4 + 15/10). Factor -g*d**2 + 8/13 + 6/13*d.
-2*(d - 4)*(d + 1)/13
Let z(i) = -i**4 + i**2 - i. Let p(c) = 130*c**4 + 44*c**3 - 5*c**2 + 9*c. Suppose -5*w - 5 = 85. Let y(o) = w*z(o) - 2*p(o). Suppose y(j) = 0. Calculate j.
-2/11, 0
Let k(h) be the first derivative of 3*h**5/20 - 3*h**4/8 - 9*h**3 - 33*h**2 - 48*h - 71. Factor k(c).
3*(c - 8)*(c + 2)**3/4
Suppose 8 - 2 = 3*v. Let i be v*(-2 + (-26)/(-12)). Determine u so that i*u**2 + 1/3*u + 0 = 0.
-1, 0
Let t(s) be the third derivative of 0 + 57/64*s**4 + 1/80*s**7 - 9/8*s**3 + 40*s**2 - 37/320*s**6 + 0*s + 31/160*s**5. Determine i so that t(i) = 0.
-1, 2/7, 3
Let p(m) be the first derivative of m**4/8 + 4*m**3/3 + 13*m**2/4 + 3*m - 31. Solve p(z) = 0 for z.
-6, -1
Suppose 5*w + 1 = 6. Let u(f) be the first derivative of 1/8*f**4 - 1/10*f**5 + 1/2*f**3 + w + f - 5/4*f**2. Determine t, given that u(t) = 0.
-2, 1
Let a(x) = 44*x**2 - 49*x + 7. Let l be a(1). Factor -4/3*q + 4*q**l + 0.
4*q*(3*q - 1)/3
Factor 0 + 0*g - 22/5*g**3 + 24/5*g**2 - 2/5*g**4.
-2*g**2*(g - 1)*(g + 12)/5
Let v(c) be the third derivative of -c**8/896 + 3*c**6/320 - c**5/80 - 437*c**2. Factor v(a).
-3*a**2*(a - 1)**2*(a + 2)/8
Let l = -454 + 454. Let p(f) be the third derivative of 0 + 0*f - 1/150*f**5 + 1/15*f**3 + 7*f**2 + l*f**4. Solve p(u) = 0.
-1, 1
Find u such that -6*u**2 + 18*u**3 - 248*u**4 - 7*u**2 + 2*u + 3*u**2 + 4*u**5 + 234*u**4 = 0.
0, 1/2, 1
Suppose -13 + 7 = -3*v. Factor 4*b**2 + 5*b**v - 5*b**2 - 4*b + 12*b.
4*b*(b + 2)
Let u(s) = 6*s**4 - 4*s**3 + s**2 - 11*s. Let g(c) = -c**4 + c**3 + 2*c. Let x(t) = -22*g(t) - 4*u(t). Determine b so that x(b) = 0.
-2, -1, 0
Let g = 99364/9 + -11040. Determine r, given that -2/9*r**4 + g*r**3 - 2/9*r**2 + 0 + 0*r = 0.
0, 1
Let m(w) be the second derivative of 0 - w - 1/27*w**4 - 2/27*w**3 + 4/9*w**2. Determine b, given that m(b) = 0.
-2, 1
Determine p, given that 9/2*p**2 - 1/2*p**5 + 0 - 7/2*p**3 + 4*p - 9/2*p**4 = 0.
-8, -1, 0, 1
Let j be (-10)/(-6) + 3/9. Suppose 5*y = -j*y + 14. Find x, given that 0 + 1/2*x**4 + 0*x**y + 1/4*x**5 + 1/4*x**3 + 0*x = 0.
-1, 0
Let z = -921/4 + 6527/28. Solve -16/7*w**3 - 8/7*w + 4/7*w**4 + 0 + z*w**2 = 0.
0, 1, 2
Let c(r) be the first derivative of -r**3/5 + 6*r**2/5 - 93. Factor c(v).
-3*v*(v - 4)/5
Let y(n) be the second derivative of -n**7/210 + n**6/90 + 2*n**3 + 24*n. Let o(a) be the second derivative of y(a). Factor o(m).
-4*m**2*(m - 1)
Let g = -14/2643 + 5384/18501. What is y in 12/7*y + 26/7*y**2 - 2/7*y**5 - g*y**4 + 2*y**3 + 0 = 0?
-2, -1, 0, 3
Let l(v) = -61 + 17 - 3*v**3 + 9*v**2 + 15 + 17. Let b(d) = -2*d**3 + 9*d**2 - 12. Let i(z) = -6*b(z) + 5*l(z). Suppose i(m) = 0. What is m?
-2, 1
Let k be 15/(-25) + (-3)/(-1 - 2). Let 0*u - 2/5*u**3 + 0 - 4/5*u**2 + k*u**4 = 0. What is u?
-1, 0, 2
Let q(a) be the second derivative of 12*a**2 + 2/3*a**3 - 1/3*a**4 + 6*a + 0. Factor q(b).
-4*(b - 3)*(b + 2)
Let f(n) be the first derivative of 4*n**5/25 - 18*n**4/5 - 16*n**3 - 124*n**2/5 - 84*n/5 + 104. Let f(o) = 0. What is o?
-1, 21
Let h(r) = 10*r - 28. Let a be h(3). Factor -88*m + 19 + m**2 + a*m**2 + 128 + 130*m.
3*(m + 7)**2
Find t, given that 192/5 - 624/5*t + 507/5*t**2 = 0.
8/13
Let g(l) = -l**2 + 5*l + 4. Let o be g(4). Factor 40*i - 38*i**2 + 12*i**3 + 13*i**2 + i**3 - o*i**3 - 20.
5*(i - 2)**2*(i - 1)
Let b be (0 - 6/8)*(-1692)/(-15). Let w = b + 85. Factor -w*x**2 + 2/5 - 3/5*x.
-(x + 2)*(2*x - 1)/5
Let q be ((-6)/(-10))/(3/15). Let a(f) be the second derivative of -1/120*f**6 - 1/10*f**5 - 11/24*f**4 + 0 - 9/8*f**2 + 5*f - f**q. What is p in a(p) = 0?
-3, -1
Let 610*n**2 + 38*n**3 - 22*n + 301*n**4 + 60*n**4 - 1 - 16*n - 970*n**2 = 0. Calculate n.
-1, -1/19, 1
Suppose -2*v + v - 2*k = -6, k + 4 = 3*v. Let j be 1 - ((-5)/v)/(1/1). Let 2 + j*z**2 - 8*z = 0. Calculate z.
2/7, 2
Let n(x) be the first derivative of 8/5*x**2 - 13 + 18/5*x - 2/15*x**3. Factor n(d).
-2*(d - 9)*(d + 1)/5
Let m(n) be the first derivative of -n**4/36 - 5*n**3/27 + n**2/18 + 5*n/9 - 231. Let m(t) = 0. What is t?
-5, -1, 1
Factor 288*z + 66*z**2 - 425 + 236 - 675 + 3*z**3.
3*(z - 2)*(z + 12)**2
Let s be (-36)/(-15) - 3/(15/2). Let s*j - 73*j**4 + 7*j**3 + 2*j**5 + 6 + 79*j**4 - 11*j**3 - 12*j**2 = 0. What is j?
-3, -1, 1
Suppose 4*n - 20 = -n. Factor 1/2*a**2 - n*a + 8.
(a - 4)**2/2
Let a = 44 - 44. Let y be (42/56)/(6/16 - a). Solve 0 + 2/3*r - 2/3*r**y = 0.
0, 1
Let c(w) be the third derivative of -w**8/1176 - 2*w**7/245 + w**6/140 + 8*w**5/105 - w**4/7 - 110*w**2. Let c(u) = 0. What is u?
-6, -2, 0, 1
Let d(y) be the first derivative of y**6/15 - 2*y**4/5 + 4*y**3/15 + 3*y**2/5 - 4*y/5 + 752. Solve d(z) = 0.
-2, -1, 1
Let f(x) be the second derivative of -1 + 7224/5*x**5 - 4508/5*x**6 - 96*x**2 - 1060*x**4 + 245/2*x**7 + 424*x**3 - 17*x. Find n such that f(n) = 0.
2/7, 2/5, 4
Let x(v) = v**3 - 6*v**2 - 8*v + 4. Let y be x(7). Let m be (15/10)/((-2)/(-4)) + y. Factor 2/9*q + m + 2/9*q**2.
2*q*(q + 1)/9
Let l be 6/(-18) - 95/(-171). Solve 0*q - 4/9*q**3 + 0 + l*q**2 = 0.
0, 1/2
Find h, given that 2/9*h**5 - 20/9*h**4 - 64/9*h**2 + 58/9*h**3 + 0 + 8/3*h = 0.
0, 1, 2, 6
Let g(p) be the first derivative of -1/4*p**2 + 19 + 0*p + 1/3*p**4 - 1/15*p**5 - 5/36*p**6 + 1/9*p**3. Solve g(c) = 0 for c.
-1, 0, 3/5, 1
Let r be (42/(-49))/((-90)/112)*5. Factor -4 - 4/3*u**2 + r*u.
-4*(u - 3)*(u - 1)/3
Let h(f) be the third derivative of -f**7/105 + f**6/15 - f**5/30 - f**4/2 - 64*f**2. Factor h(u).
-2*u*(u - 3)*(u - 2)*(u + 1)
Let s(m) = -m**3 - 3*m**2 - 3*m - 6. Let t be s(-3). Let 4*c**3 - 8*c - 16*c**4 + 20*c**4 + 16 + c**5 - 3*c**5 + 6*c**t - 20*c**2 = 0. What is c?
-2, -1, 1, 2
Let a = -27 - -32. Factor -a*h**3 - 7 + 10*h + 8*h**2 - 3*h**2 + 7.
-5*h*(h - 2)*(h + 1)
Let s(t) be the first derivative of t**6/33 + 4*t**5/55 - 5*t**4/22 - 4*t**3/11 + 10. Let s(k) = 0. What is k?
-3, -1, 0, 2
Let j(t) be the third derivative of 3*t**8/560 - 8*t**7/525 - t**6/150 + 3*t**5/50 - t**4/24 - t**3/15 - 32*t**2 - 7*t. Factor j(z).
(z - 1)**3*(z + 1)*(9*z + 2)/5
Let o(i) be the third derivative of i**6/120 - i**5/60 - i**4/12 - 101*i**2. Determine j so that o(j) = 0.
-1, 0, 2
Factor 60*j + 10*j**2 - 40 + 3*j**5 - 55*j**3 + 2*j**5 + 30*j**4 - 10*j**5.
-5*(j - 2)**3*(j - 1)*