ctor -2/5*s - s**2 + j + 2/5*s**4 - 1/5*s**3.
s*(s - 2)*(s + 1)*(2*s + 1)/5
Determine l so that -3 + 6 + 237*l**2 + 18*l**3 - 3*l**4 - 249*l**2 + 12 - 18*l = 0.
-1, 1, 5
Let f(d) be the third derivative of d**6/96 + d**5/8 - 15*d**4/8 + 25*d**3/3 - 1761*d**2. Factor f(q).
5*(q - 2)**2*(q + 10)/4
Find y, given that -776/7 + 4/7*y**3 - 1156/7*y - 376/7*y**2 = 0.
-2, -1, 97
Let t(m) be the third derivative of m**7/420 - 17*m**6/80 + 6*m**5/5 + m**4/12 - 16*m**3 + 2*m**2 - 7*m + 5. Find i such that t(i) = 0.
-1, 2, 48
Factor -752/3*s**2 - 2/3*s**3 - 250*s + 0.
-2*s*(s + 1)*(s + 375)/3
Let a be 2171/988 + -7 - (-2)/(-8). Let r = 326/57 + a. Factor 6*t + 0 + r*t**5 + 44/3*t**3 - 16/3*t**4 - 16*t**2.
2*t*(t - 3)**2*(t - 1)**2/3
Factor 0 + 104/7*v**3 + 80/7*v**2 + 4*v**4 - 32/7*v.
4*v*(v + 2)**2*(7*v - 2)/7
Suppose 0*i + 3*i = 9. Let u = -14442/85 - -2902/17. Find k such that -12/5*k - u*k**i - 36/5 + 4*k**2 = 0.
-1, 3
Let c = 31497 - 31478. Let g(u) be the first derivative of 2/21*u**6 + 8/35*u**5 + c + 0*u + 0*u**3 + 0*u**2 - 3/7*u**4. Factor g(s).
4*s**3*(s - 1)*(s + 3)/7
Determine k, given that -26/7*k**2 - 16/7*k + 16/7*k**3 + 26/7 = 0.
-1, 1, 13/8
Let x(j) be the third derivative of 0 + 41*j + 5/6*j**3 + j**2 - 7/6*j**5 + 65/24*j**4. Factor x(w).
-5*(w - 1)*(14*w + 1)
Let y = 156091/30 + -5203. Let i(a) be the second derivative of 8*a + 1/210*a**7 + 0 - y*a**3 + 1/75*a**6 - 1/30*a**4 + 0*a**2 + 0*a**5. Factor i(d).
d*(d - 1)*(d + 1)**3/5
What is f in -22393 + 11100 + 11193 - 104*f - 4*f**2 = 0?
-25, -1
Let v(d) be the third derivative of -d**6/660 + 7*d**5/165 + d**4/33 - 56*d**3/33 - 347*d**2. Factor v(l).
-2*(l - 14)*(l - 2)*(l + 2)/11
Factor 405*p - 206*p**4 + 1043*p - 728 - 894*p**2 + 81*p**3 + 208*p**4 + 97*p**3 - 6*p**3.
2*(p - 2)**2*(p - 1)*(p + 91)
Let k(w) be the second derivative of 0*w**4 - 55*w - 1/6*w**6 - 5/3*w**3 + 0 + 5/2*w**2 + 1/2*w**5. Suppose k(p) = 0. Calculate p.
-1, 1
Let x(z) = -7*z**3 - 5*z**2 - z - 2. Let m be x(3). Let n = m + 957/4. Solve 0 - 1/2*y + n*y**2 = 0.
0, 2
Let w be (-1)/(14 - (-940)/(-60)). Solve -3/5*r**3 + 0 + 0*r + w*r**4 - 6/5*r**2 = 0 for r.
-1, 0, 2
Let t(d) be the first derivative of 4*d**3/3 - 110*d**2 - 696*d - 766. Determine c so that t(c) = 0.
-3, 58
Let z(g) be the first derivative of g**6/9 - 16*g**5/15 + g**4/2 + 64*g**3/9 - 28*g**2/3 - 4240. Determine f, given that z(f) = 0.
-2, 0, 1, 2, 7
Suppose 3*q + 3*h = 0, -3*q - h = -0*h. Suppose q = -6*a - 2021 + 8267. Factor -4*z**2 - a + 1041 + 20*z.
-4*z*(z - 5)
Let z(a) be the first derivative of -a**5/5 + 21*a**4/4 + 114*a**3 + 160*a**2 + 9594. Factor z(n).
-n*(n - 32)*(n + 1)*(n + 10)
Let t = 5841806/3 + -1947226. Factor t - 8*j**2 + 2/3*j**3 - 32/3*j + 1/3*j**4.
(j - 4)*(j - 2)*(j + 4)**2/3
Let k(t) = 4*t**3 - 2*t**2 + 4*t. Let o(c) = -887*c + 0*c**3 + 883*c - 3*c**3 + 2*c**2. Let p(s) = -5*k(s) - 6*o(s). Let p(b) = 0. What is b?
-2, 0, 1
Suppose -6 = -2*x - w, -3*x + 0*w + 8 = w. Let z = -6/229 - -6207/916. Find n, given that -9/4*n**x - 1/4*n**3 - 27/4*n - z = 0.
-3
What is v in -2/7*v**4 + 12/7 + 10/7*v - 10/7*v**3 - 10/7*v**2 = 0?
-3, -2, -1, 1
Let y(c) = c**3 + 3*c**2 - 6*c - 10. Let i be y(-3). Let w be (-6 - (-108)/i) + -5. Determine l so that w*l**2 + 1/2*l**3 + 4*l + 2 = 0.
-2, -1
Suppose -77*z + 85*z = 224*z - 5184. Factor -z*j**2 + 105/2*j + 25 + 5/2*j**3.
(j - 5)**2*(5*j + 2)/2
Let f be 36/(-42) + 53/70 - (-155)/50. Let n(t) be the second derivative of 1/96*t**4 - 40*t + 0 + 1/16*t**f + 1/8*t**2. Factor n(r).
(r + 1)*(r + 2)/8
Let d(m) = 80*m**2 + 9*m - 8. Let w be d(1). Factor -32*x**2 - 40*x**3 + 32 - 37*x**3 - 4*x + w*x**3.
4*(x - 8)*(x - 1)*(x + 1)
What is u in -3/8*u**2 - 1516563/8 - 2133/4*u = 0?
-711
What is u in -22*u**4 - 80*u**3 + 875*u**2 - 20*u**4 - 109 + 70*u + 640*u - 3*u**4 - 91 = 0?
-5, -1, 2/9, 4
Suppose 0 = 10*v - 15*v. Suppose 0 = -i - v + 2. Factor -14*s + 10 + 2 + i*s**4 + 29*s**3 - 6*s**2 - 23*s**3.
2*(s - 1)**2*(s + 2)*(s + 3)
Suppose -s + 13 - 30 = 5*k, 2*s = -4*k - 16. Let f be k + (21/7 - -2). Find n, given that 0*n - 2/5*n**5 + 4/5*n**4 - 4/5*n**f + 0 + 2/5*n**3 = 0.
-1, 0, 1, 2
Let w be (4/6 + (-343)/(-21))*-5. Let q = 101 + w. Factor -3*s - 3*s**3 - 3*s - 4 + q*s**3 - 11*s**3.
2*(s - 2)*(s + 1)**2
Let k be (0/4)/((4554/165 - 28)*10/(-4)). Find w, given that 24*w**2 + k - 3/2*w**3 + 0*w = 0.
0, 16
Let b = -2/157965 + -31048897/105310. Let h = b - -295. Factor -1/2 - 1/3*p + h*p**2.
(p - 3)*(p + 1)/6
Let s(l) = l**3 - 45*l**2 + 43*l + 46. Let j be s(44). Factor 125*y**j - 151*y - 2*y**4 + 27*y**4 + 198*y**3 + 156*y - 30 - 83*y**3.
5*(y + 1)**2*(y + 3)*(5*y - 2)
Let r(z) be the first derivative of z**6/6 + 11*z**5/5 + 43*z**4/4 + 73*z**3/3 + 28*z**2 + 16*z - 3948. Factor r(n).
(n + 1)**3*(n + 4)**2
Suppose -p = -4*i + 3301 + 3438, 8435 = 5*i + p. Factor 168 - 27*a + 27*a**2 - i*a + 951*a.
3*(a - 28)*(9*a - 2)
Factor 930032/11*c**2 + 288/11 + 905840/11*c**3 + 32448/11*c + 224450/11*c**4.
2*(c + 2)**2*(335*c + 6)**2/11
Determine w, given that 325/7 + 538/7*w**2 + 755/7*w + 110/7*w**3 - 1/7*w**5 + 1/7*w**4 = 0.
-5, -1, 13
Let k(w) be the third derivative of w**5/12 - 1655*w**4/12 - 1105*w**3/2 - 25*w**2 - 32. What is y in k(y) = 0?
-1, 663
Suppose 0 = -12*u + 24 - 0. Let -141*a**3 - 14*a**u - 2*a + 2*a + 74*a**3 + 68*a**3 = 0. What is a?
0, 14
Let w be (-2)/2*(-5 - -6)*-4. Find v, given that 38*v**4 + 12*v - 11*v**3 + 3*v**5 + 2*v**2 - 8 - 32*v**w - 4*v**5 = 0.
-1, 1, 2
Find q such that 1455*q + 810 - 505*q**3 - 5*q**4 + 263*q**2 + 610*q**3 + 492*q**2 = 0.
-3, -2, -1, 27
Let f = 122 + 203. Factor -38*p**2 - 500 - f*p - 8*p**2 + 6445*p**3 - 6450*p**3 - 24*p**2.
-5*(p + 4)*(p + 5)**2
Find b, given that 9021/4*b**3 - 6 - 3447/2*b**2 + 195*b - 2883/4*b**4 = 0.
2/31, 1, 2
Suppose -40/11 + 2/11*h**2 + 38/11*h = 0. Calculate h.
-20, 1
Let p(m) be the first derivative of -m**3/5 + 1863*m**2/5 - 1156923*m/5 - 2306. Suppose p(g) = 0. Calculate g.
621
Let g = 13 + -64/5. Let s be -5 - -11 - 20/(-50)*(-13 + 3). Factor -g*r**3 + 0 - 4/5*r + 4/5*r**s.
-r*(r - 2)**2/5
Factor -961*s + 52*s + 0*s**2 + 87*s - 3*s**2.
-3*s*(s + 274)
Let i(u) be the third derivative of u**5/75 - 5*u**4/6 + 40*u**3/3 + 2913*u**2. Factor i(m).
4*(m - 20)*(m - 5)/5
Let b(x) be the second derivative of 6*x**6 - 75*x**5 + 2945*x**4/12 + 250*x**3 - 3125*x**2/2 + 4010*x. Find n such that b(n) = 0.
-1, 1, 25/6
Let z(k) be the second derivative of -2*k**6/105 - k**5/70 + 19*k**4/42 + 3*k**3/7 - 9*k**2/7 - 3042*k. What is l in z(l) = 0?
-3, -1, 1/2, 3
Let q(d) be the first derivative of -2*d**5/35 + 5*d**4/7 - 64*d**3/21 + 32*d**2/7 - 906. What is g in q(g) = 0?
0, 2, 4
Let m(p) be the third derivative of -p**5/6 - p**4/3 - 4*p**3/15 - 2772*p**2. Suppose m(s) = 0. What is s?
-2/5
Let m = -4702 + 32916/7. Let d(k) be the first derivative of 0*k - 2/7*k**2 - 1/14*k**4 - 4 + m*k**3. Factor d(l).
-2*l*(l - 2)*(l - 1)/7
Let b(r) be the first derivative of 18 - 9/8*r**2 - 1/4*r**3 + 0*r. Factor b(y).
-3*y*(y + 3)/4
Suppose 18 = -38*f + 41*f. Suppose -4*j - u + 15 = 0, -f*j + 4*j - 4*u = -18. Find g such that j*g**2 - 104*g + 208*g - 110*g + 3 = 0.
1
Suppose 0 = 73*s - 70*s - 30. Let u(i) be the second derivative of -13/24*i**3 + 0 - 1/2*i**2 - s*i - 1/16*i**4. Factor u(q).
-(q + 4)*(3*q + 1)/4
Suppose 56 = 73*w - 45*w. Suppose 18/11*v - 24/11*v**w + 0 + 6/11*v**3 = 0. Calculate v.
0, 1, 3
Let v(c) be the first derivative of -c**3/27 + 25*c**2/3 - 625*c - 9316. Factor v(p).
-(p - 75)**2/9
Find y such that -42*y**3 - y**4 + 54*y**3 + 8*y + 37*y**3 - 16*y**4 + 74*y**2 = 0.
-1, -2/17, 0, 4
Factor 93/7*q - 1/7*q**3 + 45/7*q**2 + 47/7.
-(q - 47)*(q + 1)**2/7
Factor 2070/11*r + 1032/11 + 1044/11*r**2 + 6/11*r**3.
6*(r + 1)**2*(r + 172)/11
Let i(q) be the first derivative of q**6/360 - q**5/15 + q**4/2 - 16*q**3/9 - 3*q**2/2 + q + 3. Let j(u) be the second derivative of i(u). Factor j(l).
(l - 8)*(l - 2)**2/3
Let i = 8377 + -8348. Determine q, given that -1/2*q**2 - 841/2 + i*q = 0.
29
Suppose -3*v - 30 = -2*d + v, 2*d + v - 10 = 0. Let k = 8 + d. Factor -k*c**2 + 26*c**2 - 4 + 4*c**3 + 5*c + 2.
(c + 1)*(c + 2)*(4*c - 1)
Let f be -2 + 1375/132 + 1/(-12). Let n(b) be the first derivative of -17 + 0*b - 15/4*b**4 - 5*b**2 + f*b**3. What is q in n(q) = 0?
0, 2/3, 1
Le