e of p(g). Factor u(r).
2*r*(r - 1)**3/7
Let d(x) be the second derivative of x**6/48 + x**5/60 - 5*x**4/48 - x**3/6 - 85*x**2/2 + 31*x. Let z(r) be the first derivative of d(r). Solve z(c) = 0.
-1, -2/5, 1
Let y(g) be the first derivative of 14/15*g**5 - 6*g**4 + 52/9*g**3 + 122 + 20*g**2 - 6*g. Find a such that y(a) = 0.
-1, 1/7, 3
Let v(p) = -2. Let y(x) be the first derivative of 2*x**3/3 - 3*x**2 - 20*x + 91. Let f(c) = 6*v(c) - y(c). Find z such that f(z) = 0.
-1, 4
Let c = -2 - -4. Let f(w) = -w**2 - 3*w + 30. Let r be f(-7). Solve 51*m - c*m**2 - 49*m - 2*m**r = 0 for m.
0, 1/2
Suppose -9550/3*r**3 + 0*r**2 + 0 + 5/3*r**4 + 0*r = 0. What is r?
0, 1910
Let o be ((-41)/(-2))/(2/4). Suppose 5*j = -2*q + 35, -o = -5*j - 4*q + 4. Factor -5*v**5 + 31*v**2 - 16*v**2 + 25*v**3 + j*v**4 - 20 - 20*v**2 - 40*v.
-5*(v - 2)**2*(v + 1)**3
Solve 1031317*g**4 - 3*g**5 + 1031299*g**4 - 144 + 108*g**2 - 2062634*g**4 - 3*g**3 + 60*g = 0 for g.
-4, -3, -2, 1, 2
Let b(p) be the third derivative of p**7/70 - 3*p**6/10 - 79*p**5/20 - 51*p**4/4 + 611*p**2. Factor b(v).
3*v*(v - 17)*(v + 2)*(v + 3)
Suppose -3*j - 2*m + 4 = 0, 2 = -3*j - m + 4. Let g(n) be the third derivative of j*n**5 + 16*n**2 + 1/36*n**4 + 2/27*n**3 + 0*n - 1/540*n**6 + 0. Factor g(u).
-2*(u - 2)*(u + 1)**2/9
Let u(x) be the first derivative of -12/7*x + 46 + 4/7*x**2 + 4/21*x**3. Factor u(q).
4*(q - 1)*(q + 3)/7
Let i(n) = 4*n**4 - 27*n**3 - 273*n**2 - 248*n - 9. Let p(w) = w**4 - w - 3. Let m(v) = 2*i(v) - 6*p(v). Factor m(c).
2*c*(c - 35)*(c + 1)*(c + 7)
Let t = 109/240 - 7/16. Let z(s) be the third derivative of 0*s + 0 - 11*s**2 + t*s**5 - 1/3*s**4 + 8/3*s**3. Suppose z(o) = 0. Calculate o.
4
Let r(j) be the second derivative of -j**5/170 + 7*j**4/102 - 11*j**3/51 + 5*j**2/17 - 3631*j. Factor r(y).
-2*(y - 5)*(y - 1)**2/17
What is p in -103/5*p**3 + 227/5*p - 96/5 + 3/5*p**4 + 217/5*p**2 = 0?
-1, 1/3, 3, 32
Determine u so that 484/9*u + 2/9*u**2 + 29282/9 = 0.
-121
Let s be 10 - -7 - 19 - (224/(-12))/4. Solve -2/3*j**4 - 4*j**2 - 8/3*j**3 - 2/3 - s*j = 0 for j.
-1
Let j(z) be the first derivative of -z**5/20 - z**4/2 - 17*z**3/12 + z**2/4 + 6*z - 305. Solve j(x) = 0.
-4, -3, -2, 1
Let o(q) be the third derivative of -q**6/900 - 79*q**5/90 - 9898*q**4/45 - 38416*q**3/15 - 4*q**2 - 166*q + 2. Factor o(w).
-2*(w + 3)*(w + 196)**2/15
Let g(i) be the third derivative of 12*i - 1/6*i**4 + 0*i**3 - i**2 + 0 + 1/5*i**5. Determine o, given that g(o) = 0.
0, 1/3
Let v be (2/(-4))/((-4059)/(-16646)). Let h = 79/33 - v. Let 14/9*r - 74/9*r**3 + 8/3*r**2 - 4/9 + h*r**4 = 0. Calculate r.
-2/5, 1/4, 1
Let i = 48 + -48. Suppose 0 = -5*f + c + 22 - 8, 4*f - c - 12 = i. Factor 2*a**f + 1213 + 4*a - 1213.
2*a*(a + 2)
Suppose -2*r = 2*q + 2, -4*r + 2*q = 3 - 17. Factor 6 + u**3 - 3*u**r - 3*u - 20 + u**4 - 2*u + 12.
(u - 2)*(u + 1)**3
Let q(f) be the first derivative of 2*f**2 - 44 - 1/4*f**4 + f**3 + 0*f. Solve q(d) = 0 for d.
-1, 0, 4
Let l(h) be the third derivative of -h**5/90 + 3*h**4/4 + 418*h**3/9 - 260*h**2 + 12*h. Factor l(a).
-2*(a - 38)*(a + 11)/3
Suppose 24/5*r + 4/5*r**4 - 14/5*r**3 + 0 + 2/5*r**5 - 16/5*r**2 = 0. What is r?
-3, -2, 0, 1, 2
Let u(m) be the third derivative of 0*m**3 + 3/70*m**5 + 0 + 1/280*m**6 + 0*m + 9/56*m**4 - 54*m**2. Factor u(i).
3*i*(i + 3)**2/7
Suppose -14400 - 120*g - 1/4*g**2 = 0. What is g?
-240
Let m(p) be the second derivative of -p**7/42 - 3*p**6/50 + 197*p**5/100 - 133*p**4/20 + 12*p**3/5 - p + 668. Let m(s) = 0. Calculate s.
-8, 0, 1/5, 3
Let o be 53/15 - (1 - -2). Let b = -7648 - -114722/15. Factor -16/15*n - b*n**3 - 2/3*n**2 - o.
-2*(n + 1)*(n + 2)**2/15
Factor 1/4*c**4 - 51/4*c**3 - 81/2*c**2 - c + 54.
(c - 54)*(c - 1)*(c + 2)**2/4
Let x(w) be the second derivative of 1/80*w**6 - 9/8*w**2 - 3/160*w**5 + 13/16*w**3 - 9*w - 6 - 7/32*w**4. Factor x(r).
3*(r - 2)*(r - 1)**2*(r + 3)/8
Let t = -60 + 69. Factor -6*p**3 - 6*p**3 + 6*p**3 + t*p**4 + 15*p**5.
3*p**3*(p + 1)*(5*p - 2)
Determine z, given that -1392/5 + 2778/5*z - 6/5*z**3 - 276*z**2 = 0.
-232, 1
Suppose 0*t = 4*t - 16, 5*i - 28 = -2*t. Determine r so that -211*r**2 - 36*r**3 + 4 + 62*r**i - 4*r**5 + 12*r**3 + 119*r**2 + 26 + 28*r = 0.
-1, -1/2, 1, 15
Let j(m) be the first derivative of -m**3 + 477*m**2 - 75843*m + 1653. Factor j(t).
-3*(t - 159)**2
Let p = -527287/8 + 65911. Determine y, given that y**2 - 1 + 1/8*y - p*y**3 = 0.
-1, 1, 8
Let d be ((-6)/6 - -1)/1. Let p(r) be the third derivative of 21*r**2 + d*r + 1/24*r**4 - 1/120*r**5 + 1/4*r**3 + 0. Find a, given that p(a) = 0.
-1, 3
Let p = 19312/15 - 134644/105. Factor -p*b - 4/7*b**2 + 88/7.
-4*(b - 2)*(b + 11)/7
Let w = 82 - 80. What is f in 106 - 9*f**w + 75 + 11*f**2 + 397 - 68*f = 0?
17
Solve -1/4*q**4 - 11/4*q**3 + 5/2*q + 2 - 7/4*q**2 + 1/4*q**5 = 0.
-2, -1, 1, 4
Let x(r) be the second derivative of 1/16*r**4 - 2 - 1/80*r**5 + 12*r - 3/8*r**2 + 1/24*r**3. Suppose x(v) = 0. Calculate v.
-1, 1, 3
Suppose -148 = -4*u - 4*o, -154 = -5*u + u - o. Suppose 35 = -2*v + u. Suppose -1/8*x**v + 0 - 1/8*x = 0. What is x?
-1, 0
Let z = -1513/7 - -217. Let j = -667458 - -667460. Factor -3/7*d**j + 0 + z*d.
-3*d*(d - 2)/7
Let z(g) be the first derivative of -g**3/3 - 39. Let o(j) = 3*j**2 + 6*j - 9. Let p(t) = -o(t) - 4*z(t). Factor p(k).
(k - 3)**2
Let i(a) = a**4 - 2*a**3 + 1. Let o(q) = -16*q**4 - 74*q**3 - 44*q**2 + 32*q - 6. Let y = -696 - -708. Let x(b) = y*i(b) + 2*o(b). Factor x(z).
-4*z*(z + 1)*(z + 8)*(5*z - 2)
Let i be (-5920)/888 - (1 + -8). Let y(n) be the first derivative of -12*n - 8 + 1/4*n**4 + i*n**3 - 4*n**2. Solve y(m) = 0.
-2, 3
Let i be 1852/61116 - 2954/(-528). Factor 6*q + i + 3/8*q**2.
3*(q + 1)*(q + 15)/8
Suppose -7 = 10*q + 3. Let p be q/11*-31 - (-8)/44. Solve -17*r**2 + 65*r**2 + 41*r**4 - p*r - 89*r**4 + 192*r**5 - 189*r**3 = 0.
-1, 0, 1/8, 1
Let z(k) = -45*k**3 + 1326*k**2 - 33707*k + 32448. Let w(u) = 16*u**3 - 444*u**2 + 11236*u - 10816. Let b(q) = -11*w(q) - 4*z(q). Let b(r) = 0. Calculate r.
1, 52
Let l(x) be the second derivative of -5*x + 7 + 1/6*x**4 + 0*x**3 - 16*x**2. Factor l(b).
2*(b - 4)*(b + 4)
Let a(s) be the third derivative of s**8/6720 - s**7/84 - s**5/30 - 29*s**3/3 + 205*s**2 - s. Let n(z) be the third derivative of a(z). Solve n(v) = 0.
0, 20
Let y be (7 + -4 + -1)*-6. Let o be (-48)/(-10)*(-40)/y. Factor -6*l**2 - 8 - l**3 + o*l - 3*l**3 - 374*l**4 + 376*l**4.
2*(l - 2)*(l - 1)**2*(l + 2)
Determine k, given that -24*k + 90*k**2 - 22*k**2 - 12645*k**4 + 12629*k**4 - 18*k**3 + 6*k**5 - 16 = 0.
-2, -1/3, 1, 2
Let r be (-3 + -2 + 3)*15/(-10). Factor -64 - 7*y**r - 3*y - 45*y + 6*y**2 + 2*y**2 + 19*y**3 + 2*y**4.
2*(y - 2)*(y + 2)**2*(y + 4)
Suppose -21*z = 77 - 182. Let r be 3 - (1/(-5))/((-1)/z). Solve 20/3 - 2/3*i**r + 2*i = 0 for i.
-2, 5
Let d(a) be the first derivative of -5*a**3/3 + 2535*a**2/2 + 2540*a + 1796. Factor d(o).
-5*(o - 508)*(o + 1)
Let v(x) = x**2 - 16*x + 68. Let q be v(14). Find y, given that q*y + 67 + 5*y**2 - 42 - 70 = 0.
-9, 1
Let k(j) = 4*j**3 + 19*j**2 - 49*j - 52. Let i(g) = -4*g**3 - 17*g**2 + 48*g + 53. Let a(m) = 6*i(m) + 4*k(m). Factor a(l).
-2*(l + 1)*(l + 5)*(4*l - 11)
Let y be ((-3)/2)/(14 - (-118)/(-8)). Factor -180*b + 0*b**y + 3*b**2 + 40*b - 2*b**2 + 4*b**2.
5*b*(b - 28)
Let u = -220644 + 1544512/7. Factor -u*p - 10/7*p**4 - 18/7*p**3 - 2/7*p**5 - 2*p**2 + 0.
-2*p*(p + 1)**3*(p + 2)/7
Let c be 1/3*(31 + -7). Factor -9*j + 18*j - c*j - 3*j**2 - 3 - 7*j.
-3*(j + 1)**2
Let h(z) = -2*z - 3*z + 4*z**2 - 4*z**3 + 9*z**2 + z**2 - 5. Let p(n) = -n**2 + 1. Let k(f) = h(f) + 3*p(f). Let k(j) = 0. What is j?
-1/4, 1, 2
Let i(y) be the first derivative of -2*y**5/35 + 53*y**4/14 - 752*y**3/21 + 720*y**2/7 + 907. Factor i(a).
-2*a*(a - 45)*(a - 4)**2/7
Let y(k) = -k + 22. Let p be y(19). Suppose 8*w**3 - 6*w**2 + 2*w**p + 1815*w + 6*w**4 - 2*w**5 - 1823*w = 0. What is w?
-1, 0, 1, 4
Let o be 2561/5910*-3*(-2)/39. Let a(w) be the third derivative of 0*w + 4/15*w**3 + 0 + o*w**4 + 1/150*w**5 + 16*w**2. Factor a(r).
2*(r + 2)**2/5
Let 160/3*i - 22 - 2/3*i**4 + 32/3*i**3 - 124/3*i**2 = 0. What is i?
1, 3, 11
Solve -2/17*b**4 + 0 + 6/17*b**2 + 0*b - 4/17*b**3 = 0.
-3, 0, 1
Let s = 540083/5 + -108016. Suppose 3/5*m + 36/5 - s*m**2 = 0. What is m?
-3, 4
Suppose -10*w = 4644 - 3804. L