y) = -4*y**2 + 390*y - 410. Let q(p) = -6*a(p) - 7*g(p). Let q(n) = 0. What is n?
-199, 1
Let w(b) be the third derivative of 0*b + 5/2*b**4 - 50/3*b**3 + 0 + 3/5*b**5 - 38*b**2 + 1/30*b**6. Factor w(c).
4*(c - 1)*(c + 5)**2
Let x(y) be the second derivative of 2*y**5/5 + 7*y**4/3 + 2*y**3 - 20*y. Find i such that x(i) = 0.
-3, -1/2, 0
Let r(w) be the first derivative of w**4/7 + 16*w**3 + 166*w**2/7 - 391. Determine t so that r(t) = 0.
-83, -1, 0
Let s(t) be the second derivative of -t**5/20 - 11*t**4/12 - 19*t**3/3 - 20*t**2 + 362*t. Suppose s(l) = 0. What is l?
-5, -4, -2
Suppose 2*m + 0*m = 20. Factor l**5 - 15*l**4 - 5*l**5 + m*l**3 + 3*l**5 + 6*l**5.
5*l**3*(l - 2)*(l - 1)
Let j be 2/13 + (-629)/(-221). Find q such that 20*q**2 + 100/3*q**j + 0 + 8/3*q = 0.
-2/5, -1/5, 0
Factor 74/3 - 2/9*g**2 + 443/9*g.
-(g - 222)*(2*g + 1)/9
Let w be 2/(-1 + 3)*3. Suppose y + y = -5*d + 9, -4*d + 10 = w*y. Suppose 0 - 1/4*s**3 + 1/4*s + 0*s**y = 0. Calculate s.
-1, 0, 1
Factor 60 + 59*p**2 + 111*p**3 + 249*p + 21*p**4 - 73*p**3 - 418*p**3 + 4*p**4 - 13*p.
(p - 15)*(p - 1)*(5*p + 2)**2
Let q = 60 + -60. Suppose 2*k - 2*b - 3 = 3*b, 5*k + 3*b - 23 = q. Solve -10/3*r**k - 28/3*r + 6*r**2 - 25*r**5 - 8/3 + 103/3*r**3 = 0.
-1, -2/5, 2/3, 1
Let b(v) = 4*v**3 + 40*v**2 + 10*v + 6. Let o(j) = 8*j**3 + 90*j**2 + 19*j + 13. Let f(s) = 13*b(s) - 6*o(s). Determine n so that f(n) = 0.
0, 1, 4
Factor 4*g**3 + 397851*g + 20*g**2 - 397851*g.
4*g**2*(g + 5)
Let a(j) be the third derivative of -j**6/540 - 11*j**3/6 - 5*j**2. Let i(g) be the first derivative of a(g). Factor i(s).
-2*s**2/3
Let l = 30070509/451 - 66675. Let k = 30/41 - l. Determine f, given that -2/11*f**3 - 4/11*f + 0 - k*f**2 = 0.
-2, -1, 0
Let l(a) be the third derivative of 26*a**5/15 + 79*a**4/18 + 2*a**3/9 + 118*a**2 + 2*a. Solve l(v) = 0 for v.
-1, -1/78
Suppose -2*m = -3*x - 4, 3*m - 2*x - 9 + 3 = 0. Solve q**m + 7 + 4 - 2 + 6*q = 0 for q.
-3
Let p = -6/493 - -1016/2465. Let m(u) be the first derivative of 13 + p*u + 3/5*u**3 - 7/10*u**2 + 1/25*u**5 - 1/4*u**4. Factor m(t).
(t - 2)*(t - 1)**3/5
Let v be 3/5 + (77/(-308))/((-20)/16336). What is o in -22/5*o**3 - v + 1/5*o**4 - 128/5*o + 144/5*o**2 = 0?
-2, 8
Let s(p) be the second derivative of -p**4/60 - p**3/10 + p**2 - 9*p + 2. Factor s(r).
-(r - 2)*(r + 5)/5
Let a(h) be the second derivative of h**7/12600 + h**6/600 + h**5/120 + h**4/3 + 9*h. Let d(b) be the third derivative of a(b). Determine o so that d(o) = 0.
-5, -1
Let p(i) be the third derivative of i**7/315 - 7*i**6/180 - 7*i**5/45 + 4*i**4/3 - 216*i**2. Find f such that p(f) = 0.
-3, 0, 2, 8
Solve 20/9 - 22/9*k**3 - 2*k**2 - 2/9*k**4 + 22/9*k = 0 for k.
-10, -1, 1
Let t(n) be the third derivative of n**8/336 + 2*n**7/105 + n**6/120 - n**5/6 - n**4/6 + 4*n**3/3 - 173*n**2. Solve t(y) = 0.
-2, 1
Let q be 17/17 + (-1)/(8/6). Let t(a) be the third derivative of 4*a**2 - 1/105*a**7 - 1/20*a**6 + 0*a - 1/30*a**5 + 2/3*a**3 + q*a**4 + 0. Factor t(n).
-2*(n - 1)*(n + 1)**2*(n + 2)
Suppose -45 = -11*t + 2*t. Determine d, given that -6*d**t - 28*d**4 - 11*d**3 - 17*d**3 - 12*d**2 - 6*d**3 = 0.
-3, -1, -2/3, 0
Let i = 63/65 + -10/13. Let f be 6/(-10)*(22/121 + 28/(-33)). Suppose f - 1/5*z**2 + i*z = 0. Calculate z.
-1, 2
Let x(c) = 22*c**4 + 85*c**3 + 31*c**2 - 17*c - 5. Let r(f) = 21*f**4 + 87*f**3 + 30*f**2 - 18*f - 6. Let z(i) = 5*r(i) - 6*x(i). Factor z(l).
-3*l*(l + 1)*(l + 2)*(9*l - 2)
Let w(c) = c**2 + 2*c - 1. Let u be w(1). Let 4*o**4 + 4*o**3 + 170*o**2 - 170*o**u = 0. What is o?
-1, 0
Suppose 22*w + 2*w - 96 = 0. Let -v**2 + 0 + 1/4*v**5 - v**w + 1/4*v + 3/2*v**3 = 0. Calculate v.
0, 1
Let b = 2 + 2. Suppose 0 = -10*y + 9*y + 2. Determine l, given that y*l**2 - 16*l**3 - b*l - 5*l + 10*l**4 + 13*l = 0.
-2/5, 0, 1
Let x be 65/20 - (45/20 - 2). Let l(y) be the first derivative of -8 + y**x - 6*y + 3/2*y**2. Suppose l(i) = 0. Calculate i.
-2, 1
Let r = -24176/15 - -1612. Suppose -2/3*u**2 + 0 - 8/15*u**3 - r*u - 2/15*u**4 = 0. What is u?
-2, -1, 0
Let 0 + 16/13*k**3 - 2*k**2 - 12/13*k = 0. Calculate k.
-3/8, 0, 2
Let g be 5/(-5*(-4)/20). Let m(a) be the third derivative of 2/45*a**3 - 1/60*a**4 - 2*a**2 + 0 + 1/450*a**g + 0*a. Factor m(c).
2*(c - 2)*(c - 1)/15
Let u(t) be the first derivative of 1/24*t**6 + 1/16*t**4 + 1/8*t + 16 + 1/6*t**3 - 1/4*t**2 - 1/8*t**5. Find g, given that u(g) = 0.
-1, 1/2, 1
Suppose 0 = -3*m + y + 178, 3*m - 2*y = -m + 234. Let w = m + -59. Suppose -4/3 + 4*d**w + 4/3*d**4 + 14/3*d**3 - 2/3*d = 0. Calculate d.
-2, -1, 1/2
Let n(x) be the first derivative of x**3/3 - 8*x**2 + 39*x + 539. Solve n(z) = 0.
3, 13
Let j(x) = -4*x - 20 + 7 + 48 + 21. Let t be j(13). Let -3/8*i**3 + 1/8*i**5 + 1/4*i - 1/8*i**2 + 0 + 1/8*i**t = 0. Calculate i.
-2, -1, 0, 1
Let i(q) be the second derivative of 9*q**7/7 + 141*q**6/5 + 1287*q**5/5 + 3751*q**4/3 + 30613*q**3/9 + 14641*q**2/3 - q + 49. Find o, given that i(o) = 0.
-11/3, -1
Let y(g) be the first derivative of -g**4/22 - 4*g**3/33 + g**2/11 + 4*g/11 + 103. Factor y(r).
-2*(r - 1)*(r + 1)*(r + 2)/11
Let q(k) be the second derivative of -k**5/150 + 29*k**4/15 - 841*k**3/5 - 285*k. Let q(n) = 0. What is n?
0, 87
Let p(d) = 153*d**2 + 72*d - 48. Let v = 26 - 30. Let y(c) = -19*c**2 - 9*c + 6. Let o(w) = v*p(w) - 33*y(w). Factor o(h).
3*(h + 1)*(5*h - 2)
Let u(m) be the first derivative of -m**6/3 - 6*m**5 - 42*m**4 - 416*m**3/3 - 192*m**2 + 8. Factor u(x).
-2*x*(x + 3)*(x + 4)**3
Suppose 2*r + 1 = 9. Find x, given that -30*x**3 + 3*x - x - r*x + 20*x**4 + 20*x**2 - 3*x - 5*x**5 = 0.
0, 1
Let j(r) be the third derivative of r**6/180 + r**5/6 - 11*r**4/12 + 17*r**3/9 - 78*r**2. Factor j(l).
2*(l - 1)**2*(l + 17)/3
Let u = -1339 + 1342. Let t(r) be the first derivative of -7 + 0*r + 1/15*r**u - 3/10*r**2. Factor t(n).
n*(n - 3)/5
Find n such that -596*n**2 - 128*n - 76*n**3 + 796*n**2 - 745*n**4 + 749*n**4 = 0.
0, 1, 2, 16
Solve 69*v**3 + 69*v**3 - 203*v**3 - 2*v**2 + 67*v**3 = 0 for v.
0, 1
Let x(a) be the first derivative of -a**5/20 - 53*a**4/8 - 2809*a**3/12 + 75. Factor x(o).
-o**2*(o + 53)**2/4
Let b(j) be the second derivative of 1/15*j**3 + 0 - 1/75*j**6 + 0*j**2 - 1/50*j**5 + 38*j + 1/30*j**4. Factor b(t).
-2*t*(t - 1)*(t + 1)**2/5
Let k(d) be the second derivative of -d**4/8 + 13*d**3/4 - 27*d**2 - 301*d. Factor k(f).
-3*(f - 9)*(f - 4)/2
Let m(j) be the first derivative of -7*j**4/30 + 4*j**3/5 + 4*j**2/5 + j - 2. Let t(q) be the first derivative of m(q). Factor t(v).
-2*(v - 2)*(7*v + 2)/5
Let 0 + 9/2*y**3 + 54*y + 1/4*y**4 + 27*y**2 = 0. What is y?
-6, 0
Let v be (20/35)/(10/35). Solve -h + h + v*h**2 + 8*h**4 - 10*h**4 = 0.
-1, 0, 1
Let d(j) = 2*j**2 - 22*j + 2. Let v be d(11). Let p**2 + 0*p**2 + 0*p**v - 1 - 3 = 0. Calculate p.
-2, 2
Let b(s) = s**3 - 104*s**2 - 100*s - 525. Let g be b(105). Factor 2/7*c**3 + 0*c**2 - 2/7*c + g.
2*c*(c - 1)*(c + 1)/7
Let d = 10 + -4. Let h(x) = -19*x**2 - 5*x. Let i(z) = 0*z + z + 3*z**2 + 2*z - 2*z. Let j(p) = d*h(p) + 39*i(p). Solve j(n) = 0 for n.
-3, 0
Find y such that 16/19*y**2 - 10/19*y**3 + 24/19*y + 0 - 2/19*y**4 = 0.
-6, -1, 0, 2
Let l(w) be the first derivative of 3*w**4/4 - 12*w**3 + 123*w**2/2 - 90*w + 47. Suppose l(o) = 0. What is o?
1, 5, 6
Suppose 4*v - 133 - 191 = 0. Let d be v/(-45)*(-2 + 1). Factor -3/5 - d*u - 3/5*u**3 - 9/5*u**2.
-3*(u + 1)**3/5
Let n = -273 - -402. Suppose 5*z + 24 = n. Solve 17*s - 3*s**3 + z*s - 35*s = 0.
-1, 0, 1
Let i(u) be the second derivative of u**6/195 + 3*u**5/65 + 2*u**4/13 + 8*u**3/39 + u - 17. Suppose i(x) = 0. What is x?
-2, 0
Let v = 37558/3 + -12518. Factor 0 - v*a**3 - 8/3*a + 4*a**2.
-4*a*(a - 2)*(a - 1)/3
Let t = -4512 - -18049/4. Determine y, given that 0*y - 1/4*y**2 + t = 0.
-1, 1
Let v = 29/60 - 7/15. Let s(j) be the third derivative of 0*j**3 - v*j**5 - 4*j**2 + 0 + 0*j + 1/240*j**6 + 1/48*j**4. Factor s(t).
t*(t - 1)**2/2
Let f(g) = g**5 + 2*g**4 - g**3 - 1. Let w(n) = 4*n**5 + 2*n**4 - n**3 + 4*n**2 - 3*n - 3. Let z(y) = -3*f(y) + w(y). Suppose z(s) = 0. What is s?
-1, 0, 1, 3
Let r(z) = -z**3 - 5*z**2 - z - 3. Let g be r(-5). Let i(v) = 5*v**2 - g*v + 8 - 4*v**2 - v. Let s(k) = 1. Let f(w) = -i(w) + 6*s(w). Factor f(o).
-(o - 2)*(o - 1)
Let j be (-6)/(-12)*(-11)/(-165). Let g(z) be the second derivative of -2/9*z**