e v.
-6, -1, 0, 1
Let r be 14/(-1064)*0 + (-2)/(-5). Factor 18/5*n + 44/5*n**3 + r*n**5 + 48/5*n**2 + 16/5*n**4 + 0.
2*n*(n + 1)**2*(n + 3)**2/5
Suppose -5*c - 258 = 2*t + 246, 5*c + 4*t = -508. Let u be (-28)/(-10)*c/(-175). Factor 4/5*v**2 + u - 2/5*v**3 + 14/5*v.
-2*(v - 4)*(v + 1)**2/5
Let h(y) be the first derivative of 0*y**4 + 1/21*y**6 + 0*y**3 + 0*y**5 + 0*y**2 + 9 + 0*y. Factor h(z).
2*z**5/7
Let y(s) be the third derivative of -s**7/1470 - 31*s**6/840 - 29*s**5/70 - 6*s**4/7 + 7988*s**2. What is p in y(p) = 0?
-24, -6, -1, 0
Let b(q) be the third derivative of -q**8/168 - 44*q**7/315 + 8*q**6/45 + 137*q**5/45 + 97*q**4/12 + 10*q**3 + 2627*q**2. Let b(l) = 0. What is l?
-15, -1, -2/3, 3
Factor 117/5*h + 1/5*h**3 + 12*h**2 + 58/5.
(h + 1)**2*(h + 58)/5
Let d = 490038 + -490018. Factor 45*l**2 + d - 35/2*l**3 + 5/2*l**4 - 50*l.
5*(l - 2)**3*(l - 1)/2
Suppose t + 2 = 0, -10*t = 4*b - 7*t - 6. Suppose -n - b*c + 15 = 0, -19 + 9 = -2*n - 2*c. Factor 0 + n*f - 1/4*f**2.
-f**2/4
Factor 212*p**2 + 5044 + 44*p**3 + 18*p + 129*p - 11*p - 5076.
4*(p + 1)*(p + 4)*(11*p - 2)
Let d(y) be the first derivative of 0*y - 6*y**2 + 1/4*y**4 - 95 - 11/3*y**3. Factor d(z).
z*(z - 12)*(z + 1)
Suppose 23*o + 288 = 32*o. Let z be 4/(o/(-40)) + 7. Factor 3/2*n**z - 9/2*n**3 + 9/2*n**4 + 0 + 0*n - 3/2*n**5.
-3*n**2*(n - 1)**3/2
Factor -12150 + 333/8*z**2 - 3/8*z**3 - 945*z.
-3*(z - 60)**2*(z + 9)/8
Let d(l) = -7*l**4 + 2*l**3 - 95*l**2 + 252*l + 4. Let x(m) = 19*m**4 - 6*m**3 + 286*m**2 - 756*m - 11. Let y(j) = -11*d(j) - 4*x(j). Factor y(i).
i*(i - 7)*(i - 3)*(i + 12)
Suppose 105*v + 4*t - 16 = 109*v, -2*v + 5*t = 20. Solve 21/4*w**3 + v*w + 9/4*w**4 + 0 + 3/2*w**2 = 0 for w.
-2, -1/3, 0
Let k(d) = 54 - 93 - 8*d**2 - 26*d - 9. Let t(w) = -15*w**2 - 54*w - 94. Let c(r) = 11*k(r) - 6*t(r). Solve c(m) = 0.
-18, -1
Suppose 0 = 77*m - 69*m - 8. Let p(w) be the first derivative of -2/3*w**6 - 4*w**3 + m + 12/5*w**5 + 4*w**2 - w**4 + 0*w. Suppose p(a) = 0. What is a?
-1, 0, 1, 2
Let v(w) be the third derivative of -w**7/210 + 31*w**6/120 - 17*w**5/20 - 199*w**4/24 - 58*w**3/3 - 624*w**2 + 2*w. Determine j so that v(j) = 0.
-1, 4, 29
Let w = 467797/3 + -155929. What is r in -1/3*r**3 + w - r - 2*r**2 = 0?
-5, -2, 1
Let g(v) be the third derivative of v**7/42 - 7*v**6/12 - 5*v**5/4 - 211*v**2 - 7*v. Let g(m) = 0. Calculate m.
-1, 0, 15
Let l(a) be the first derivative of 5*a**3/3 - 395*a**2 - 3240*a - 2217. Factor l(k).
5*(k - 162)*(k + 4)
Let m = 1756 + -1707. Suppose 3*w = n + 6, n = m*w - 44*w - 16. Suppose -n + 3/2*l + 3/2*l**2 = 0. Calculate l.
-3, 2
Let a(p) be the first derivative of p**8/6720 + p**7/1120 - p**6/1440 - p**5/160 + p**3/3 + 6*p + 60. Let v(b) be the third derivative of a(b). Factor v(g).
g*(g - 1)*(g + 1)*(g + 3)/4
Suppose 12 = 5*v - p, 152*p - 147*p = -v + 18. Let a(g) be the first derivative of -g**2 - 2/3*g**v - 11 + 0*g. Factor a(w).
-2*w*(w + 1)
Suppose 1860*u - 1857*u - 6090 = 0. Let v = 2032 - u. Determine s so that -3/7*s**v + 12/7*s - 12/7 = 0.
2
Let r be ((-2409)/(-146))/(3/(-2)). Let h be -1 - r/(308/36). Factor -4/7 + 6/7*b**2 + h*b.
2*(b + 1)*(3*b - 2)/7
Factor 22/5*q**3 + 0 - 5*q**2 + 1/5*q**4 - 46/5*q.
q*(q - 2)*(q + 1)*(q + 23)/5
Let d = -366 - -851. Let k = d - 481. Determine a, given that k*a**2 + 4/3*a**3 + 0*a + 0 = 0.
-3, 0
Let r be (-14)/(-18)*(-9)/(-1). Let w(t) be the third derivative of 1/24*t**4 + 0*t + 0*t**3 - 1/120*t**6 + 1/210*t**r + 0 - 19*t**2 - 1/60*t**5. Factor w(j).
j*(j - 1)**2*(j + 1)
Let j(q) be the second derivative of q**5/25 + 167*q**4/15 - 454*q**3/5 + 1026*q**2/5 - 1053*q - 1. Factor j(g).
4*(g - 3)*(g - 1)*(g + 171)/5
Suppose 128 = 2*r - 4*c, -r + 5*c = -0*c - 79. Suppose -h = 5*h - r. Factor 2*v**2 + 2 - 11 - 18*v + h.
2*v*(v - 9)
Let t(a) = -2*a**2 + 12*a - 7. Let r be t(5). Suppose -r*z = -4*g - 0*z + 24, 3*g + z - 5 = 0. Factor -4*f**g + 3*f**3 - 6*f + 7*f.
-f*(f - 1)*(f + 1)
Suppose -4*v - 4 = 4*f, 4*v - 2*v + 7 = -3*f. Let 0*k**2 - 26*k - v*k**2 + 54*k = 0. What is k?
0, 7
Let i(a) be the second derivative of a**6/15 + 8*a**5 + 383*a**4/6 + 604*a**3/3 + 300*a**2 + 2269*a. Factor i(o).
2*(o + 1)*(o + 2)**2*(o + 75)
Suppose 8*k - 591 = 3*s - 559, 3*s + 3*k = 12. Suppose -1/3*g**4 + 4/3*g**3 - g**2 + s*g + 0 = 0. Calculate g.
0, 1, 3
Let x = 299/66 - 100/33. Let h(v) be the first derivative of -9*v + x*v**2 - 1/12*v**3 + 18. Factor h(i).
-(i - 6)**2/4
Let b = -139637/93 + 47517/31. Factor -b - 2/3*p**2 - 32*p.
-2*(p + 1)*(p + 47)/3
Suppose 0 = -4*p - 2*k - 70, -4*p - k = 4*k + 61. Let r = p - -22. Let r*l**2 - 5*l**2 + 4 - l - l + 4*l = 0. What is l?
-1, 2
Let h(a) = 4*a**3 + a**2 + 5*a - 13. Let c be h(4). Let q = c + -276. Suppose 12/11*g**2 + 2/11*g**4 + 8/11*g + 8/11*g**q + 2/11 = 0. Calculate g.
-1
Factor -3457115*w - w**2 - 3*w**2 + 3451939*w - 1674436.
-4*(w + 647)**2
Let 0 - 40*g**3 - 180/7*g + 6/7*g**4 + 454/7*g**2 = 0. What is g?
0, 2/3, 1, 45
Let 2/5*m**2 - 48/5*m - 224/5 = 0. What is m?
-4, 28
Let x = 94235/125636 + -2/31409. What is y in -1 + x*y**2 + 11/4*y = 0?
-4, 1/3
Find u such that -1040*u**2 - 392 + 12*u + 220*u - 44*u + 1044*u**2 = 0.
-49, 2
Let h be (-4)/26 - 4/(156/(-435)). Suppose -h*k + 16 + 6 = 0. Factor 5/3*y + k + 1/3*y**2.
(y + 2)*(y + 3)/3
Let n(v) be the first derivative of 45*v**2 + 145/3*v**3 + 15*v**4 + 0*v + v**5 - 198. Factor n(y).
5*y*(y + 1)*(y + 2)*(y + 9)
Let d = -74 - -137. Let l be (-19)/(-7) - (-18)/d. Solve 6*p**2 - 2*p**l - p**3 + 0 + 0 = 0.
0, 2
Let o = 1483 - 1405. Let d be (10/6)/(65/o). Factor -1/2*m**2 - d + 1/4*m**4 - 3/4*m**3 + 3*m.
(m - 2)**2*(m - 1)*(m + 2)/4
Let h(n) be the second derivative of -n**6/6 - 2*n**5 + 25*n**4/3 - n - 1076. Suppose h(y) = 0. What is y?
-10, 0, 2
Let f = -121 - -123. Determine n, given that 11 - 12 - 80*n - 5*n**f + 84 + 2 = 0.
-17, 1
Let 1/2*j**2 - 40 + 19*j = 0. What is j?
-40, 2
Let b(l) be the first derivative of l**7/140 - 3*l**6/80 - l**5/10 - 73*l**2/2 + 76. Let i(u) be the second derivative of b(u). Solve i(h) = 0.
-1, 0, 4
Let t be 9231/(-362)*1/(-17). Let a(d) be the second derivative of 0*d**3 + 1/4*d**4 + 0 + 41*d - t*d**2. Let a(w) = 0. What is w?
-1, 1
Factor -459/2*m - 70227/2 - 3/8*m**2.
-3*(m + 306)**2/8
Let q(c) = 2*c**3 + 1. Let t be q(1). What is u in u**4 - u + 2*u - 3*u**2 - 609 + 611 - u**t = 0?
-1, 1, 2
Let o(l) be the second derivative of l**5/10 + 3*l**4/2 + 20*l**3/3 + 12*l**2 - 367*l + 3. Factor o(v).
2*(v + 1)*(v + 2)*(v + 6)
Let t(z) be the second derivative of z**6/240 + z**5/16 + z**4/4 - z**3/6 + 5*z**2/2 + 2*z - 2. Let p(v) be the second derivative of t(v). Factor p(f).
3*(f + 1)*(f + 4)/2
Let g(b) be the third derivative of -b**5/45 + 339*b**2. Find p such that g(p) = 0.
0
Let 0*g + 0 + 3/4*g**3 - 1275/4*g**2 = 0. What is g?
0, 425
Let b(o) be the second derivative of -25*o**7/42 - 2*o**6/3 + 19*o**5 + 25*o**4/2 - 465*o**3/2 + 135*o**2 + 4*o - 65. Solve b(f) = 0 for f.
-3, 1/5, 2, 3
Let j = 6787/2 + -3393. Let q(i) be the second derivative of 9*i**2 + 0 - 1/4*i**4 + j*i**3 - 18*i. Factor q(t).
-3*(t - 3)*(t + 2)
Let h(o) = 3*o**3 + 462*o**2 + 935*o + 448. Let l(u) = 3*u**3 + 462*u**2 + 940*u + 446. Let b(s) = -5*h(s) + 4*l(s). Solve b(z) = 0 for z.
-152, -1
Let f(p) be the third derivative of p**6/60 - 3*p**5/2 - 47*p**4/6 - 2*p**2 + 31*p + 40. Factor f(q).
2*q*(q - 47)*(q + 2)
Suppose -111*d = -116*d + 10. What is l in 10*l**d + l + l - 11*l**2 - 1 = 0?
1
Factor 215*f**2 + 9900*f - 49005 - 345*f**2 - 169*f**2 - 201*f**2.
-5*(10*f - 99)**2
Let q(p) be the third derivative of -9*p**6/140 - 867*p**5/140 + 295*p**4/14 - 198*p**3/7 - 8*p**2 - 2*p + 56. Let q(j) = 0. What is j?
-99/2, 2/3
Let c be (3 - (-2 + 5))/((-2)/(-2)). Suppose 0 = -9*k - 12*k - c*k. Find i such that 2/15*i**2 - 2/15*i + k = 0.
0, 1
Let p(j) be the second derivative of j**7/13860 - j**6/360 - j**5/55 - j**4/12 - 19*j**2/2 + 39*j. Let s(x) be the third derivative of p(x). Factor s(u).
2*(u - 12)*(u + 1)/11
Let z be (-1855)/(-2226) - (-3)/(-9). Let p(o) be the third derivative of -z*o**4 + 3*o**3 + 1/40*o**5 + 0*o + 0 + o**2. Find y, given that p(y) = 0.
2, 6
Let n = -90653 + 90653. Let 0 + 1/2*m**3 - 3/4*m**5 + 0*m + 1/4*m**4 + n*m**2 = 0. Calculate m.
-2/3, 0, 1
Let l be (-18)/(13 - -41) - (-28)/48. Suppose -l*k**