, -1
Let y(p) be the third derivative of p**6/24 - 7*p**5/12 + 25*p**4/8 - 15*p**3/2 + 87*p**2. Factor y(b).
5*(b - 3)**2*(b - 1)
Let q(g) be the third derivative of 3*g**8/448 + g**7/120 - g**6/24 + g**5/60 + 133*g**2. Determine w so that q(w) = 0.
-2, 0, 2/9, 1
Let h = 1988585/112 - 17755. Let f(s) be the third derivative of 2*s**4 + h*s**8 + 0*s + 23/5*s**6 - 24/5*s**5 + 0 + 0*s**3 + 10*s**2 - 12/7*s**7. Factor f(c).
3*c*(c - 2)**2*(5*c - 2)**2
Let m(b) = 4*b**2 + 5*b - 1. Let s be m(-2). Let o(f) = 3*f**2 + 9*f - 6. Let i(c) = -2*c**2 - 10*c + 5. Let u(h) = s*o(h) + 6*i(h). Factor u(y).
3*y*(y - 5)
Let h(l) be the first derivative of -5*l**6/6 - 2*l**5 + 5*l**4/4 + 10*l**3/3 - 61. Suppose h(n) = 0. Calculate n.
-2, -1, 0, 1
Factor -119*q**2 + 11*q**3 + 16*q**2 + 32*q - 104*q**2 + q**3 + 19*q.
3*q*(q - 17)*(4*q - 1)
Let r(f) be the second derivative of -11*f**7/21 - 53*f**6/15 - 23*f**5/10 + 61*f**4/6 + 34*f**3/3 - 8*f**2 - 31*f. Find i such that r(i) = 0.
-4, -1, 2/11, 1
Let p(g) be the third derivative of -g**5/360 - 7*g**4/72 + 7*g**2 + 5. Factor p(h).
-h*(h + 14)/6
Let y(u) be the second derivative of -u**6/60 - 21*u**5/20 - 147*u**4/8 + 2*u - 72. Factor y(j).
-j**2*(j + 21)**2/2
Solve 8*z**5 + 4*z**5 - z**4 - 3*z**4 + 6*z**5 + z**4 = 0 for z.
0, 1/6
Determine d, given that -1/5*d**5 - 8/5*d**2 + 0*d**4 + 6/5*d**3 + 0 + 3/5*d = 0.
-3, 0, 1
Let s(x) = x**3 + 7*x**2 - 10*x - 7. Let n = -46 - -38. Let k be s(n). Suppose 0*j - 17/2*j**2 - k*j**3 + 2 - 5/2*j**4 = 0. What is j?
-2, -1, 2/5
Let l(m) be the third derivative of -1/5*m**3 - 1/30*m**4 + 1/150*m**5 + 0 + 0*m + 2*m**2. What is x in l(x) = 0?
-1, 3
Find d such that d**3 - 4*d**2 + d + 11*d - 4*d**3 - 5*d**3 - 4*d**3 + 4*d**4 = 0.
-1, 0, 1, 3
Let c(m) be the third derivative of -m**5/30 + 10*m**4/3 - 400*m**3/3 + 49*m**2. Determine i, given that c(i) = 0.
20
Let c(i) be the second derivative of i**6/75 - i**4/5 + 8*i**3/15 - 3*i**2/5 - 153*i. Let c(r) = 0. What is r?
-3, 1
Let g(a) be the first derivative of -a**6/30 - a**5/25 + 19*a**4/20 - 11*a**3/15 - 3*a**2 + 79. Let g(i) = 0. Calculate i.
-5, -1, 0, 2, 3
Let h(p) be the third derivative of -p**6/840 - p**5/70 - 3*p**4/56 - 2*p**3/21 - 304*p**2. Factor h(n).
-(n + 1)**2*(n + 4)/7
Let j(i) = -i**3 - i**2 + 1. Let l(v) = 5*v**3 - 5*v**2 + 10*v - 7. Let y(n) = -6*j(n) - 2*l(n). Suppose y(g) = 0. Calculate g.
1, 2
Let b(c) be the second derivative of -c**6/165 + 7*c**5/110 - 5*c**4/33 + 297*c. Suppose b(i) = 0. Calculate i.
0, 2, 5
Let l(j) = j**3 + j**2 + j + 1. Let c(w) = 3*w**3 + 12*w**2 - 13*w + 14. Let n(g) = c(g) - 4*l(g). Factor n(v).
-(v - 5)*(v - 2)*(v - 1)
Let g(u) = -5*u + 45. Let x(r) = r**2 - 3. Let s(v) = g(v) - 5*x(v). Let s(b) = 0. Calculate b.
-4, 3
Let h(r) be the first derivative of -2/3*r**3 + 0*r**2 + 2/3*r**4 - 2/15*r**5 - 21 + 0*r. Find s such that h(s) = 0.
0, 1, 3
Find f such that 3*f**5 + 87*f**3 + f**3 - 150*f**2 + 134*f**4 - 21*f**5 + 86*f**2 = 0.
-1, 0, 4/9, 8
Let o(a) be the first derivative of -4*a**5/85 + 5*a**4/34 - 2*a**3/17 - a**2/17 + 2*a/17 + 52. Factor o(c).
-2*(c - 1)**3*(2*c + 1)/17
Factor 4232/9 - 1472/3*f + 62/3*f**2 - 2/9*f**3.
-2*(f - 46)**2*(f - 1)/9
Find o, given that 0*o**2 - 111/11*o + 1/11*o**3 - 10 = 0.
-10, -1, 11
Let i(d) = -d**2 + d - 1. Suppose 0*b + 3*u - 30 = 3*b, 5*b - u = -34. Let s(k) = -5*k**2 + k + 9. Let c(z) = b*i(z) + 2*s(z). Factor c(l).
-4*(l - 2)*(l + 3)
Let h be -14 - (-2)/((-4)/(-33)). Factor 5/2*f**2 - h + 15/2*f**3 - 15/2*f.
5*(f - 1)*(f + 1)*(3*f + 1)/2
Let g be 12*(4 + 24/(-9)). Suppose 5*q - q**2 + 3*q + 0*q**2 - g = 0. What is q?
4
Let x = -483954 + 5315148/11. Let a = -758 - x. Factor 8/11*i - 2/11*i**3 - 2/11*i**5 + 16/11 - 20/11*i**2 + a*i**4.
-2*(i - 2)**3*(i + 1)**2/11
Let s(w) = w + 2. Let b be s(5). Suppose 3*n + 12 = b*n. Factor n + 1 - 6*x - x**2 + 3*x**2.
2*(x - 2)*(x - 1)
Suppose 33/5*u**3 + 42/5 + 3/5*u**4 + 111/5*u + 99/5*u**2 = 0. What is u?
-7, -2, -1
Solve 0*y + 2/7*y**3 + 0 + 2/7*y**2 = 0.
-1, 0
Let b(m) be the first derivative of m**6/90 - m**5/30 - 7*m**4/36 - 2*m**3/9 + 48*m - 23. Let f(i) be the first derivative of b(i). Solve f(o) = 0 for o.
-1, 0, 4
Find u such that -1/3*u**4 + 3*u**3 + 6 - 3*u - 17/3*u**2 = 0.
-1, 1, 3, 6
Suppose 22 - 12 = h. Suppose 4*p + p = h. Suppose 2*t**2 - 1/2*t + 0 - p*t**4 + 1/2*t**3 = 0. What is t?
-1, 0, 1/4, 1
Let l(h) be the third derivative of 0 - 1/840*h**7 + 1/48*h**4 + 0*h - 10*h**2 + 1/24*h**3 + 0*h**5 - 1/240*h**6. Factor l(p).
-(p - 1)*(p + 1)**3/4
Let y be 31558/(-104) + -1 + (-66)/(-88). Let o = 304 + y. Factor -10/13*b - o + 6/13*b**2.
2*(b - 2)*(3*b + 1)/13
Let q(z) be the first derivative of z**5/30 - z**4/12 - z**3/18 + z**2/6 + 55. Factor q(b).
b*(b - 2)*(b - 1)*(b + 1)/6
Let y(d) = 64*d**2 - 6*d + 6. Let k be y(1). Find m such that -11*m**3 - 62*m**2 + k - 14*m - m**4 + 26*m**2 - 2*m = 0.
-4, 1
Let u(v) be the first derivative of -v**2 - 7*v + 8. Let r be u(-17). Factor -3*n**2 + 12*n**2 + 1 + 21*n**3 + r*n**2 + 9*n - 7.
3*(n + 1)**2*(7*n - 2)
Let w = -41 - 58. Let c = 101 + w. Factor 8/3 - 2/3*t**4 - 2/3*t**5 + 2/3*t**c + 10/3*t**3 - 16/3*t.
-2*(t - 1)**3*(t + 2)**2/3
Let m(w) be the first derivative of -7*w**6/1620 + 11*w**5/540 - w**4/27 + 23*w**3/3 + 21. Let i(z) be the third derivative of m(z). Factor i(h).
-2*(h - 1)*(7*h - 4)/9
Let j = -1336 - -2687/2. Let 0 + 12*m**3 - j*m**4 + 0*m + 8*m**2 + m**5 = 0. Calculate m.
-1/2, 0, 4
Let j(v) be the second derivative of v**9/90720 - v**8/10080 + v**7/3780 + v**4/3 + 7*v. Let z(w) be the third derivative of j(w). Determine u so that z(u) = 0.
0, 2
Let h(n) be the second derivative of n**5/50 - n**4/10 - 12*n**3/5 - 32*n**2/5 + 233*n. Factor h(c).
2*(c - 8)*(c + 1)*(c + 4)/5
Let p(h) be the first derivative of h**4/6 - 8*h**3/9 - 108. Factor p(q).
2*q**2*(q - 4)/3
Let n = -8204/5 - -1642. Suppose -n - 3*c - 12/5*c**2 - 3/5*c**3 = 0. What is c?
-2, -1
Let y = -85/217 + 21/31. Let z(j) be the first derivative of -8/21*j**3 - y*j**2 + 8 + 1/7*j**4 + 6/35*j**5 + 2/7*j. Let z(o) = 0. What is o?
-1, 1/3, 1
Let s = -1984 + 1989. Solve 50*u**s - 46*u**3 + 40*u**4 + 88/5*u - 16/5 - 76/5*u**2 = 0 for u.
-1, 2/5
Suppose -7*q = q + 24. Let x be 2/q*((-8)/12)/2. Solve -2/3*y**2 + 2/3*y + x*y**3 - 2/9 = 0 for y.
1
Let s(n) be the third derivative of n**9/3024 - n**8/1344 - n**7/126 + n**6/36 + 31*n**4/24 + 16*n**2. Let k(r) be the second derivative of s(r). Factor k(v).
5*v*(v - 2)*(v - 1)*(v + 2)
Find x, given that -9/2*x**2 + 2 + 7/2*x**3 - 6*x = 0.
-1, 2/7, 2
Let b be (-8)/2*((-789)/(-114) + -7). Determine k, given that 0*k**2 - 2/19*k**3 + 4/19 + b*k = 0.
-1, 2
Let b = 65512/98277 + 2/32759. Find u such that -b*u**2 - 6 + 4*u = 0.
3
Let i(v) = v**2. Let d(j) = -5*j**2 + 9*j - 2. Let r = 30 - 32. Let s(p) = r*d(p) + 4*i(p). Factor s(l).
2*(l - 1)*(7*l - 2)
Let -56*u**3 - 4634 + 12*u**4 - 144*u**2 + 5018 + 2*u**5 + 2*u**5 + 160*u = 0. What is u?
-4, -2, 2, 3
Let s(u) be the third derivative of 0*u - 1/240*u**5 - 8*u**2 + 0 + 0*u**4 - 1/840*u**7 + 0*u**3 + 1/240*u**6. Let s(i) = 0. What is i?
0, 1
Let j(n) = -83*n + 1828. Let g be j(22). Suppose -2/7*u**g - 4/7*u - 2/7 = 0. What is u?
-1
Determine j so that 180*j**2 - 201/5*j - 6/5 = 0.
-2/75, 1/4
Let m be (-27)/(-9) + -15 + -1. Let k = 21 + m. Let -q**3 - 5*q**2 - q**2 + k*q**2 = 0. Calculate q.
0, 2
Solve -22/13 - 24/13*k - 2/13*k**2 = 0 for k.
-11, -1
Factor 36 + 72*n - 27 + 4*n**2 - n**2 + 25 + 35.
3*(n + 1)*(n + 23)
Suppose 2 = g, -4*x + 31 = -x - 4*g. Suppose 5*a - x = -3. Factor -2*v + v**3 - v**3 + 6*v**3 - 4*v**3 + 2*v**a - 2*v**4.
-2*v*(v - 1)**2*(v + 1)
Let p(r) be the second derivative of r**4/84 - r**3/14 + 2*r - 1. Factor p(i).
i*(i - 3)/7
Let g(q) = q**2 - 14*q - 15. Let x(r) = -2*r**2 + 42*r + 44. Let w be (-1)/(-4) + (-4 - 12/(-16)). Let a(p) = w*x(p) - 8*g(p). Factor a(b).
-2*(b + 1)*(b + 6)
Let k(f) be the third derivative of -f**5/240 - f**4/12 + 8*f**2. Let k(m) = 0. What is m?
-8, 0
Solve -5*q**2 - 384 + 21*q**4 - 109*q - 563*q + 77*q**2 + 138*q**3 = 0 for q.
-4, -4/7, 2
Let w be (-2 + 0)/(0 + 10/(-25)). Factor -19*c**3 - 5*c - 10*c**2 - c**w + 19*c**3 + 6*c**5 + 10*c**4.
5*c*(c - 1)*(c + 1)**3
Let a(m) be the third derivative of -m**7/735 - 19*m**6/420 - 89*m**5/210 - 149*m**4/84 