 derivative of -i**4/3 + 78*i**3/7 + 68*i**2/7 - 72*i. Suppose s(z) = 0. Calculate z.
-2/7, 17
Factor 0 + 1/7*v**2 - 86/7*v.
v*(v - 86)/7
Suppose -3*c = -5 - 4. Suppose -33*n + 36*n - 12 = 0. Factor 5*y**3 + 16*y**n + 13*y**3 + 8*y**2 - 7*y**3 + 9*y**c + 4*y**5.
4*y**2*(y + 1)**2*(y + 2)
Let b(m) be the third derivative of m**10/226800 + m**9/22680 + m**8/7560 + 7*m**5/60 + m**2. Let l(a) be the third derivative of b(a). Let l(p) = 0. What is p?
-2, 0
Let k(g) = -g**3 + 13*g**2 + 15*g + 12. Let w be k(0). Suppose -3/2*q**2 - w - 9*q = 0. Calculate q.
-4, -2
Let q = 70961/4 - 17740. Suppose q*m**2 + 1/2*m**3 + 1/4*m**4 + 0*m + 0 = 0. Calculate m.
-1, 0
Let f(o) be the third derivative of -o**8/1008 + 37*o**7/1890 - 41*o**6/360 + 163*o**5/540 - 5*o**4/12 + 8*o**3/27 - 120*o**2. Find n such that f(n) = 0.
1/3, 1, 2, 8
Let w(u) be the first derivative of -2*u**5/3 - 7*u**4/3 + 2*u**3/3 + 64. Suppose w(p) = 0. What is p?
-3, 0, 1/5
Let d be (308/105 - 3)/(6/(-27)). Let p(x) be the second derivative of -1/15*x**6 + 2*x - d*x**5 + 0 + 0*x**3 - 1/3*x**4 + 0*x**2. Factor p(w).
-2*w**2*(w + 1)*(w + 2)
Suppose 2/9*u**3 - 220/9 - 326/9*u - 104/9*u**2 = 0. Calculate u.
-2, -1, 55
Suppose 2*o - 3465 = -7*o. Let a = 1171/3 - o. Find f such that 34*f**3 - 52/3*f**2 - 8*f - 12*f**4 + a = 0.
-1/2, 2/3, 2
Let f(a) be the first derivative of 2*a**5/35 + a**4/28 - 2*a**3/21 - a**2/14 - 16. Factor f(v).
v*(v - 1)*(v + 1)*(2*v + 1)/7
Let n(v) = -v**2 - 16*v - 17. Let l be n(-14). Let m(a) = 5*a**2 - a + 2. Let i(t) = 9*t**2 - 2*t + 4. Let s(f) = l*m(f) - 6*i(f). Find z, given that s(z) = 0.
-2, 1
Let n = 33 - 28. Factor 4*q**5 + q**4 + 23*q**4 + 8*q**2 + 25*q**3 + 5*q**3 - 12*q**n.
-2*q**2*(q - 4)*(2*q + 1)**2
Let z be (-10)/(-45) - 43/(-9). Suppose -4*t + z*n = 3 - 2, t - 4*n = -14. Find y, given that -15*y**2 + 8*y**2 - t + 4*y**2 + 9*y = 0.
1, 2
Let x(o) be the third derivative of 2/9*o**3 + 0*o + 0 + 1/30*o**5 + 7/36*o**4 + 3*o**2. Let x(y) = 0. Calculate y.
-2, -1/3
Let m(r) be the first derivative of 7 - 2/5*r**5 + 5*r**2 - 1/2*r**4 + 2*r**3 + 4*r. Let m(s) = 0. Calculate s.
-1, 2
Find w such that 6*w**3 + 7*w**3 - 2*w**4 + w**3 + 42*w**2 - 16*w + 0*w**3 + 2*w**3 - 40 = 0.
-2, -1, 1, 10
Let h(m) = -m**4 - m**3 - m**2 - m. Let s(o) = 3*o**4 - 5*o**3 - 2*o**2 + 10*o. Let q(r) = -6*h(r) - s(r). Let q(n) = 0. Calculate n.
-2, 0, 1/3
Let m(c) be the first derivative of c**6/60 - c**5/15 - c**2 + 12. Let k(v) be the second derivative of m(v). Factor k(s).
2*s**2*(s - 2)
Let i(j) be the first derivative of 2/3*j**2 - 5 + 1/36*j**4 + 2/9*j**3 + 5*j. Let a(g) be the first derivative of i(g). Factor a(n).
(n + 2)**2/3
Factor q - 2*q + 34*q**2 + 5*q - 31*q**2 + 11*q + 18.
3*(q + 2)*(q + 3)
Let a(s) = 7*s**3 + s**2 - 3*s. Let q(h) = -13*h**3 - h**2 + 5*h. Let v(t) = 7*a(t) + 3*q(t). Determine r so that v(r) = 0.
-1, 0, 3/5
Let -4/7*y**3 + 0 - 4/7*y**2 + 48/7*y = 0. What is y?
-4, 0, 3
Suppose -8 = 6*t - 8*t, 0 = x + 5*t - 36. Solve m - 5 - 1 + x - m**2 - 8 = 0.
-1, 2
Let v(q) = 2*q**2 + 8*q - 60. Let t(b) = 10*b**2 + 38*b - 300. Let n(y) = -3*t(y) + 16*v(y). Let n(j) = 0. What is j?
-10, 3
Let i(s) = 19*s + 1235. Let d be i(-65). Let -1/3*f**2 + 4/3*f + d = 0. Calculate f.
0, 4
Let d(l) = 2*l**2 + 6*l. Let i be d(-4). Suppose -y + 2*y + v = i, 3*y - 4*v = -4. Solve -16*j + 12*j**3 - 4*j**5 + 2*j**4 - 5*j**y - 5*j**4 + 16*j**2 = 0.
-2, 0, 1
Let o(c) be the first derivative of -c**6/135 + c**4/18 - 2*c**3/27 - 7*c + 13. Let m(l) be the first derivative of o(l). Let m(t) = 0. What is t?
-2, 0, 1
Suppose 488*v - 490*v = 0. Let r(a) be the second derivative of 3*a - 2/21*a**7 - 2/3*a**3 + 0*a**2 + 0*a**4 + v + 0*a**6 + 2/5*a**5. Factor r(k).
-4*k*(k - 1)**2*(k + 1)**2
Let y(w) be the third derivative of w**6/60 + 13*w**5/10 + 169*w**4/4 + 2197*w**3/3 - 78*w**2. Let y(c) = 0. What is c?
-13
Let i(x) be the first derivative of -15/2*x**2 + 0*x + 5/4*x**4 + 19 + 10/3*x**3. Factor i(o).
5*o*(o - 1)*(o + 3)
Let q(h) = 2*h - 9. Suppose -3*n = -44 + 2. Let x be q(n). Factor -2*c**2 - 2*c**2 + 3*c - 17*c**3 + x*c**3 - c.
2*c*(c - 1)**2
Let t(x) be the second derivative of x**4/6 + 202*x**3/3 + 10201*x**2 + 354*x. Factor t(s).
2*(s + 101)**2
Factor -52*g**3 - 16*g - 148/3*g**2 + 0 - 4/3*g**5 - 20*g**4.
-4*g*(g + 1)**3*(g + 12)/3
Let q = -50 - 19. Let h = q + 71. Factor 5/8*t**h + t + 1/8*t**3 + 1/2.
(t + 1)*(t + 2)**2/8
Let w(i) be the third derivative of -i**8/336 - i**7/84 + i**5/12 + 5*i**4/24 - i**3/3 - 10*i**2. Let m(l) be the first derivative of w(l). Factor m(c).
-5*(c - 1)*(c + 1)**3
Let t(n) = -n**4 + 125*n**3 + 829*n**2 + 840*n - 1814. Let a(o) = 63*o**3 + 414*o**2 + 420*o - 906. Let x(l) = 7*a(l) - 3*t(l). Factor x(q).
3*(q - 1)*(q + 3)*(q + 10)**2
Let u = -25 - -28. Let o(y) = -y - 2. Let s be o(-4). Factor 4*j**3 - 5*j + 4*j**s + 7*j - 2*j**u.
2*j*(j + 1)**2
Let i = 36 + -4. Let t = i - 28. Find r such that -6*r**4 - 4*r - 2 - 4*r**3 + 3 + 6*r**2 + 7*r**t = 0.
1
Let o(d) be the first derivative of 21/2*d**3 + 6/5*d**5 + 3*d - 4 + 33/4*d**2 + 6*d**4. Find q, given that o(q) = 0.
-2, -1, -1/2
Let c(l) = -2*l**2 + 68*l + 644. Let h(r) = r**2 - 69*r - 645. Let d(w) = 3*c(w) + 4*h(w). Solve d(t) = 0 for t.
-18
Let y(r) = r - 1. Let n be 2 + 0/(-3 + 1). Let k(a) = 2 + 2 + 170*a + 12 - 70*a + 28*a**n. Let c(u) = -k(u) + 8*y(u). Suppose c(t) = 0. What is t?
-3, -2/7
Let l be ((-60)/(-70))/((-20)/(-35)). Factor 3 + l*r - 27/2*r**2 - 15/2*r**4 - 39/2*r**3.
-3*(r + 1)**3*(5*r - 2)/2
Let s = 662 - 654. Let o(t) be the second derivative of 1/16*t**4 + 1/8*t**3 + 0*t**2 + 0 - 1/40*t**6 - 3/80*t**5 + s*t. Determine l so that o(l) = 0.
-1, 0, 1
Let 9*j**2 - 36*j**2 + 29*j**2 = 0. What is j?
0
Let u(s) be the second derivative of -s**8/504 + s**6/60 + s**5/45 - 11*s**2/2 + 27*s. Let m(z) be the first derivative of u(z). What is v in m(v) = 0?
-1, 0, 2
Let n = 18339 - 18339. Find u, given that 2/3*u + 2/3*u**2 + n = 0.
-1, 0
Determine r so that -1/4*r**2 - 41*r - 1681 = 0.
-82
Suppose -65 = -5*h - 55. Find r, given that -2*r**h + 4/3*r - 2/3*r**3 - 2/3*r**5 + 0 + 2*r**4 = 0.
-1, 0, 1, 2
Let t(y) be the first derivative of y**7/126 - y**5/36 + y**2 - 10. Let k(b) be the second derivative of t(b). Solve k(o) = 0 for o.
-1, 0, 1
Let v(q) be the third derivative of 2*q**7/105 + q**6/60 - 4*q**5/15 - q**4/12 + 2*q**3 + 24*q**2 + 5*q. Let v(x) = 0. What is x?
-2, -1, 1, 3/2
Let g(v) be the third derivative of 4/45*v**5 + 0 + 0*v + 13*v**2 - 2/9*v**4 + 0*v**3 - 1/90*v**6. Factor g(q).
-4*q*(q - 2)**2/3
Let x be (374/8)/17 + (-1)/(-4). Factor 1/2*w**x - 2*w - w**2 + 4.
(w - 2)**2*(w + 2)/2
Let q(b) be the first derivative of 2*b**3/3 + 8*b**2 + 32*b - 68. Factor q(v).
2*(v + 4)**2
Factor 2/9*q**2 + 20/9 + 14/9*q.
2*(q + 2)*(q + 5)/9
Let u(o) = -6 + 2*o**2 + 0 + 3*o + o**3 + 4 + 0*o**3. Let z(b) = 6*b**3 + 10*b**2 + 15*b - 11. Let t(l) = -22*u(l) + 4*z(l). Factor t(c).
2*c*(c - 3)*(c + 1)
Let f(b) be the third derivative of -b**8/15120 + b**6/1620 + 13*b**4/12 - 6*b**2 + 2. Let u(t) be the second derivative of f(t). Factor u(r).
-4*r*(r - 1)*(r + 1)/9
Let k(m) = 8*m + 1. Let g be k(2). Let d = g + 12. Let -35*p + 11*p - 3 - d*p**2 + 8*p**2 - 1 + 49*p**3 = 0. What is p?
-2/7, 1
Suppose -936*y + 948*y = 48. Let q(s) be the third derivative of -1/36*s**4 - y*s**2 + 0 + 1/60*s**6 + 0*s**3 - 1/45*s**5 + 0*s. Factor q(i).
2*i*(i - 1)*(3*i + 1)/3
Let r(p) be the first derivative of -2*p**3 - 19*p**2 - 12*p + 51. Determine u so that r(u) = 0.
-6, -1/3
Let w(s) = s**2 - 3*s - 23. Let h be w(10). Let 51 - q**2 + 4*q - q - h = 0. What is q?
-1, 4
Let p be (-10 + 1654)/(26/5). Let g = p + -316. Find c, given that 2/13*c + 6/13*c**2 + g*c**4 + 0 + 6/13*c**3 = 0.
-1, 0
Let a(g) be the second derivative of -5*g**4/12 + 20*g**3/3 - 75*g**2/2 - 3*g + 24. Determine j, given that a(j) = 0.
3, 5
Let m(u) = 10 + 15*u + 9 - 4. Let f(v) = -v**2 - 15*v - 14. Let p(b) = 5*f(b) + 6*m(b). Let p(o) = 0. Calculate o.
-1, 4
Let q be 6/4 - (-10)/20. Suppose -11 + 5*v**q + 5*v + 15*v + 26 = 0. What is v?
-3, -1
Let u(l) be the third derivative of l**8/84 + 76*l**7/105 - 99*l**6/10 + 158*l**5/3 - 446*l**4/3 + 240*l**3 - 2*l**2 + 254. Find m such that u(m) = 0.
-45, 1, 2
Let x(m) = -7*m**4 + 17*m**3 - 49*m**2 + 45*m - 11. Let h