n that -20*s + 84*s**3 + 12*s**4 + d*s - 588*s**2 - 15*s**4 = 0.
0, 14
Let a = 7103 + -7098. Let v(u) be the second derivative of 0*u**3 + 0*u**2 + 9*u - 5/42*u**7 - 5/12*u**4 + 0 - 1/2*u**6 - 3/4*u**a. Factor v(c).
-5*c**2*(c + 1)**3
Let h(r) be the second derivative of -r**6/12 - 449*r**5/8 + 375*r**4/4 - 3246*r. Let h(o) = 0. What is o?
-450, 0, 1
Factor -3*x**4 - 82*x**3 + 4*x + 84*x**3 - 12*x - 20*x**2 + 5*x**4 + 48.
2*(x - 2)**2*(x + 2)*(x + 3)
Let b = -33 - -131. Suppose 4*x + 18 - b = 0. Suppose -16*d + 1 - 8*d**2 - 3 + x + 14 + 4*d**3 = 0. What is d?
-2, 2
Let f = -613471 + 613474. What is j in 2/7*j**4 + 0 + 0*j + 6/7*j**5 + 0*j**2 - 4/7*j**f = 0?
-1, 0, 2/3
Let q(w) be the first derivative of w**7/1960 - w**6/14 + 45*w**5/14 + 57*w**3 - 175. Let l(y) be the third derivative of q(y). Factor l(s).
3*s*(s - 30)**2/7
Let f(v) = 10*v**2 - 16*v + 12. Let p(a) = -a**2. Suppose -5*g + 210 = -10. Let y = g - 43. Let s(n) = y*f(n) + 6*p(n). Suppose s(u) = 0. Calculate u.
1, 3
Suppose -396812941 + 39905847 - 1901814*g + 255093*g**3 - 3378*g**2 - 255095*g**3 = 0. Calculate g.
-563
Let w(x) be the first derivative of x**3/6 + 255*x**2 + 130050*x - 1859. Suppose w(i) = 0. What is i?
-510
Let c be (101 + -255 - -159) + 1 + -2 + 2*-1. Suppose 1/8*y**5 - 3/8*y**4 + 1/2 + 11/8*y**c - 1/8*y**3 - 3/2*y = 0. What is y?
-2, 1, 2
Suppose -754 + 376 = -54*p. Let f(q) be the second derivative of 2/5*q**3 + p*q - 1/20*q**4 - 9/10*q**2 + 0. Factor f(u).
-3*(u - 3)*(u - 1)/5
Let a(x) be the second derivative of x**6/135 - 67*x**5/90 + 470*x**4/27 + 688*x**3/3 + 576*x**2 + 2*x - 124. Find t, given that a(t) = 0.
-4, -1, 36
Suppose -2*q - 288 = -8*q. Suppose -2*i + d = -43, -2*i = -3*d + 7*d - q. Factor 11*a**4 + 22 + 2*a - 9*a**4 + 6*a**2 - i + 6*a**3.
2*a*(a + 1)**3
Let j(i) be the second derivative of 0 + 15*i**2 - 1/4*i**5 - 5/3*i**4 - 102*i - 5/6*i**3. Factor j(y).
-5*(y - 1)*(y + 2)*(y + 3)
Let l(a) be the third derivative of a**9/22680 - a**8/10080 - a**7/1890 - a**4/12 - 23*a**3/6 - 69*a**2. Let z(h) be the second derivative of l(h). Factor z(t).
2*t**2*(t - 2)*(t + 1)/3
Let a(u) be the second derivative of 239*u**5/5 + 463*u**4/9 - 20*u**3/9 + 2*u + 3740. Factor a(k).
4*k*(3*k + 2)*(239*k - 5)/3
Let y be (-18)/(-105)*-118*65/2. Let v = -657 - y. Suppose 0*m**3 + 3/7*m**4 + 0 + 0*m - v*m**2 = 0. Calculate m.
-1, 0, 1
Solve 3264/5*s + 2/5*s**2 + 1331712/5 = 0.
-816
Let u = 1200797 - 1200793. Factor -2/17*m**5 + 6/17*m**u - 18/17 + 12/17*m**3 - 20/17*m**2 - 42/17*m.
-2*(m - 3)**2*(m + 1)**3/17
Let w(z) be the second derivative of z**5/90 - 31*z**4/27 - 65*z**3/27 + 14*z**2 + 6*z + 90. What is r in w(r) = 0?
-2, 1, 63
Let q be (-87)/(-20) + (-20736)/5760 + 6/(-8). What is m in q*m**2 - m**4 - 5/4*m**3 + 0 + 0*m + 1/4*m**5 = 0?
-1, 0, 5
Suppose -2*h - 3 = -0*g - g, 2*h + 5*g = -9. Let t(s) = -10*s + 6. Let w be t(h). Let -16 - w*m**2 + 54*m**2 - 224*m**2 + 35*m - 147*m = 0. Calculate m.
-2/7
Let p = 278 + -302. Let z be (-32)/(-16) + (-13)/((-260)/p). Suppose -z*q**4 - 1/5*q - 6/5*q**3 + 0 - 4/5*q**2 - 1/5*q**5 = 0. Calculate q.
-1, 0
Suppose 2*a - 97 - 37 = 0. Let v = a - 61. Factor -15*m**3 + 0*m**3 + 4 + v*m - 9*m**3 - 16*m**2 - 30*m**2.
-2*(m + 2)*(3*m - 1)*(4*m + 1)
Let f be 56/126 + (-56)/(-360). Factor 2/5*o + 9/5*o**2 + f*o**4 + 2*o**3 + 0.
o*(o + 1)*(o + 2)*(3*o + 1)/5
Solve 44/5*h**2 + 56/5*h + 4/5*h**3 - 64 = 0 for h.
-8, -5, 2
Let p(l) be the third derivative of -l**5/30 + 13*l**4/6 - 55*l**3 + 4*l**2 - 3. Factor p(y).
-2*(y - 15)*(y - 11)
Find c, given that 214*c**5 - 457*c**5 + 172*c**4 + 80*c**2 - 272*c**3 + 263*c**5 = 0.
-10, 0, 2/5, 1
Let m(h) be the third derivative of -h**5/150 - 149*h**4/20 - 1772*h**3/15 - 1608*h**2 - 1. Factor m(a).
-2*(a + 4)*(a + 443)/5
Let g(f) be the second derivative of -f**6/60 + f**5/8 + 7*f**4/24 - 29*f**3/12 - 15*f**2/2 - 113*f. Solve g(a) = 0.
-2, -1, 3, 5
Let s(l) be the first derivative of -l**5/80 - 3*l**4/8 - 17*l**3/24 + 103*l - 115. Let x(t) be the first derivative of s(t). Factor x(k).
-k*(k + 1)*(k + 17)/4
Let i(c) be the first derivative of 5/6*c**4 - 11/3*c**3 - 16/3*c + 20/3*c**2 + 82 - 1/15*c**5. Factor i(l).
-(l - 4)**2*(l - 1)**2/3
Let l(n) = 94*n**2 + 654*n + 2531. Let k(p) = 34*p**2 + 218*p + 844. Let o(x) = -11*k(x) + 4*l(x). Factor o(c).
2*(c + 4)*(c + 105)
Let b(s) = 11*s**3 + 45*s**2 + 57*s + 49. Let l be 13*(-21 + 18)*(-2)/6. Let p(o) = 5*o**3 + 22*o**2 + 29*o + 24. Let k(x) = l*p(x) - 6*b(x). Factor k(n).
-(n - 18)*(n + 1)**2
Let r(n) = -3*n**2 + 9966*n + 20061. Let m(t) = -t**2 + 2492*t + 5014. Let p(x) = -9*m(x) + 2*r(x). Factor p(o).
3*(o - 834)*(o + 2)
Let k(z) be the third derivative of 55*z**8/112 - 71*z**7/21 + 221*z**6/24 - 37*z**5/3 + 15*z**4/2 - 4558*z**2. Suppose k(f) = 0. Calculate f.
0, 2/3, 1, 18/11
Suppose 16*g - 35*g = 209. Let p(r) = r**3 + 32*r**2 + 17*r - 20. Let v(u) = 2*u**3 + 61*u**2 + 33*u - 41. Let d(t) = g*p(t) + 6*v(t). Factor d(w).
(w - 1)*(w + 2)*(w + 13)
Let k = 3 + 2. Suppose -91 + 91 - k*w**3 + 7*w**2 - 3*w + w**4 = 0. Calculate w.
0, 1, 3
Let x(f) be the second derivative of -145*f - 29/18*f**3 - 13/18*f**4 + 0 + 7/20*f**5 - f**2. Factor x(g).
(g - 2)*(3*g + 1)*(7*g + 3)/3
Let 6 - 29/5*v + 1/5*v**3 - 2/5*v**2 = 0. What is v?
-5, 1, 6
Suppose -69*t + 408 + 972 = 0. Suppose -5*w = -c + 10 + 17, -2*w = -5*c + t. Factor 8/3 - 2/3*z**c + 0*z.
-2*(z - 2)*(z + 2)/3
Let g(i) be the second derivative of -1/2*i**6 + 0*i**2 + 3/5*i**5 - 2*i**3 - 14 + 5/4*i**4 + i. Solve g(z) = 0.
-1, 0, 4/5, 1
Suppose 5*i + 20 = h + 33, -4*h = 5*i - 48. Let r(c) be the first derivative of -4*c - 12/7*c**3 - 4 - 30/7*c**2 - 1/7*c**i. Let r(y) = 0. Calculate y.
-7, -1
Let w be (-210)/(-56)*4240/(-308). Let n = 582/11 + w. Suppose 3/7*d**5 + 0*d + 0*d**2 + n*d**4 + 0 + 0*d**3 = 0. Calculate d.
-3, 0
Let k(n) be the third derivative of n**7/14 - 13*n**6/24 - 8*n**5/3 + 5*n**4/2 + 16*n**2 - 27. Solve k(t) = 0 for t.
-2, 0, 1/3, 6
Let y = -769709 + 769709. Let k(v) = -v - 3. Let d be k(-6). Let -3/2*h**5 + 0 + d*h**2 + 0*h + y*h**4 + 9/2*h**3 = 0. Calculate h.
-1, 0, 2
Suppose -84*q = 2342 - 2510. Factor 3/2*j**q - 75*j + 1875/2.
3*(j - 25)**2/2
Let c(m) = m**3 + 13*m**2 - 189*m - 1386. Let v be c(-6). Solve -2*d**3 + 19/3*d**4 + v - 5/3*d**2 - 10/3*d**5 + 2/3*d = 0.
-1/2, 0, 2/5, 1
Let d(r) be the first derivative of -r**4/4 + 10*r**3/3 + 27*r**2/2 - 36*r + 1985. Determine s so that d(s) = 0.
-3, 1, 12
Suppose 5*s = -5*x - 25, 0*s = 3*x - 4*s + 8. Let o(t) = 20*t**2 - 9*t - 27. Let f(u) = -9*u**2 + 4*u + 13. Let w(c) = x*o(c) - 9*f(c). Factor w(l).
(l - 3)*(l + 3)
Let d(w) be the third derivative of -w**6/420 + 3*w**5/35 - 65*w**4/84 - 2*w**2 - 72*w. Suppose d(j) = 0. Calculate j.
0, 5, 13
Let -13/7*t**4 - 11/7*t**3 - 7*t + 67/7*t**2 + 6/7 = 0. What is t?
-3, 2/13, 1
Factor 13116*x + 13924 + 110*x**2 - 171*x**2 + 4*x**2 + 336*x + 4*x**3 - 411*x**2.
4*(x - 59)**2*(x + 1)
Let d(q) = 317*q + 6025. Let p be d(-19). Let o(a) be the first derivative of -4/5*a**5 + 4*a**4 - 16/3*a**3 + 0*a + 0*a**p + 26. Solve o(z) = 0 for z.
0, 2
Let p(r) be the first derivative of 5*r**4/4 - 205*r**3/3 - 105*r**2 + 1074. Factor p(g).
5*g*(g - 42)*(g + 1)
Let i(j) = -26*j**2 + 432*j + 23749. Let x(m) = -5*m**2 + 90*m + 4750. Let g(p) = 2*i(p) - 11*x(p). Factor g(q).
3*(q - 66)*(q + 24)
Let y(v) = -25*v**2 - 50*v - 55. Let h(m) be the first derivative of 2*m**3/3 + m + 22. Let f(n) = -10*h(n) - y(n). Suppose f(r) = 0. What is r?
-9, -1
Determine u so that 171*u**3 + 1285*u**3 - 16949*u**5 - 1352*u**2 - 106*u**4 + 16951*u**5 = 0.
0, 1, 26
Let a(h) be the third derivative of -1/135*h**5 - 1/108*h**4 + 2/945*h**7 + 0 + 43*h**2 + 0*h**6 + 1/1512*h**8 + 0*h + 0*h**3. Determine y, given that a(y) = 0.
-1, 0, 1
Suppose 1590 = 540*l - 538*l. Let k = -5563/7 + l. Suppose 0 - k*y - 10/7*y**2 = 0. What is y?
-1/5, 0
Let c(n) = -93*n**3 + 6*n**2 - 6*n + 3. Let b = -58 + 55. Let m(z) = 92*z**3 - 5*z**2 + 4*z - 2. Let r(d) = b*m(d) - 2*c(d). Determine j so that r(j) = 0.
0, 1/30
Let o be -3 + -1 - (23 + -15). Let w be o/(-2) - (-29 - -30). Factor 1/2*t**2 + 0 - 1/4*t**w + 0*t**4 + 0*t + 3/4*t**3.
-t**2*(t - 2)*(t + 1)**2/4
Let x be (1 + (-10)/8)/(60/416). Let o = x - -28/15. Let -o*i**2 - 4/15 - 2/5*i = 0. What is i?
-2, 