38. Let v(j) = -3*j**2 - 2*j + 5. Let d(c) = -i(c) + 2*v(c). Factor d(x).
4*(x - 1)*(x + 32)
Suppose -16/5*l**4 - 180*l + 1/10*l**5 + 0 + 277/10*l**3 - 21*l**2 = 0. What is l?
-2, 0, 4, 15
Let h = 1977 - 1860. Suppose 0 = 3*q + h - 132. Factor 0*r**4 - 2/3*r + 0*r**2 - 2/3*r**q + 4/3*r**3 + 0.
-2*r*(r - 1)**2*(r + 1)**2/3
Let o(i) be the third derivative of -i**6/420 - 13*i**5/210 + 29*i**4/84 - 5*i**3/7 + i**2 + 460. Find g, given that o(g) = 0.
-15, 1
Let v = 898 - 896. Let w(k) be the second derivative of -9/2*k**2 + k**3 - 1/12*k**4 + 0 + v*k. Factor w(z).
-(z - 3)**2
Factor -9*x**3 - 43*x**2 + 4205*x**4 + 30*x**3 + 361 - 4206*x**4 - 393 - 644 - 741*x.
-(x - 13)**2*(x + 1)*(x + 4)
Determine a, given that a**2 - 3*a**2 + 21514*a**3 + 40 + 51*a - 5*a**5 - 167*a - 21393*a**3 - 38*a**4 = 0.
-10, -1, 2/5, 1, 2
Factor 628*w**3 + 678*w**3 - 5*w**4 - 1016*w**3.
-5*w**3*(w - 58)
Solve -36/5*o**4 - 88/5 - 116*o - 476/5*o**3 - 932/5*o**2 = 0.
-11, -1, -2/9
Let i(q) be the second derivative of 0*q**4 + 0 + 2*q**2 - 13*q - 1/60*q**6 + 0*q**3 + 1/15*q**5. Let l(o) be the first derivative of i(o). Factor l(g).
-2*g**2*(g - 2)
Let d be (-429)/(-52) - 2/8. Find z such that 204*z**2 - 84*z + d*z**3 - 10 - 3 + 7*z**3 + 13 = 0.
-14, 0, 2/5
Let i(k) be the third derivative of k**5/360 + 421*k**4/144 + 2*k**2 - 170*k - 4. Solve i(c) = 0 for c.
-421, 0
Let t(i) be the first derivative of -13*i**5/10 - 5*i**4/4 + i**3/2 - 1017. Determine y so that t(y) = 0.
-1, 0, 3/13
Let k(b) = -b**3 - 7*b**2 - 21*b + 20. Let m be k(-11). Suppose -6 + 9*w - 3*w**3 - 735*w**2 + m*w**2 = 0. What is w?
-2, 1
Let w(s) be the second derivative of 44/75*s**6 + 0*s**2 - 147/5*s**3 + 43*s - 1/105*s**7 - 263/25*s**5 + 154/5*s**4 + 0. Let w(q) = 0. Calculate q.
0, 1, 21
Let q = 200 - 632. Let g = q - -434. Find p such that -2/3*p**g + 4/3*p + 0 = 0.
0, 2
Let k(o) = 92*o**4 + 144*o**3 - 428*o**2 - 12. Let z(x) = 38*x**4 + 57*x**3 - 171*x**2 - 5. Let u(d) = -5*k(d) + 12*z(d). Factor u(q).
-4*q**2*(q - 2)*(q + 11)
Suppose 0 = 1264*w - 1144 - 1384. Determine f, given that 1/2 + 6*f**w - 7/2*f = 0.
1/4, 1/3
Find b, given that 62/9*b + 2/9*b**3 + 14/3 + 22/9*b**2 = 0.
-7, -3, -1
Let h(b) be the third derivative of 1369*b**6/540 + 851*b**5/54 + 112*b**4/27 + 4*b**3/9 - 2*b**2 - 1470*b. Solve h(w) = 0 for w.
-3, -2/37
Let i be (3 - 28/4)*3*(-5)/15. Let v(p) be the first derivative of 5*p**3 - 10*p + 5/2*p**2 - p**5 - 5/4*p**i - 6. Find l, given that v(l) = 0.
-2, -1, 1
Suppose 10*o - 12 = 8*o + 4*v + 50, -56 = 4*v. Factor -6/11*q**o + 0 - 6/11*q**2 - 2/11*q - 2/11*q**4.
-2*q*(q + 1)**3/11
Let c(j) = -14*j**2 - 704*j + 30. Let i(r) = 11*r**2 + 704*r - 25. Let f(u) = 5*c(u) + 6*i(u). Factor f(h).
-4*h*(h - 176)
Let u(k) be the first derivative of -2*k**5/45 + 17*k**4/18 - 14*k**3/3 + 3*k**2 + 24*k + 2255. Find m, given that u(m) = 0.
-1, 3, 12
Factor 4/3*b**3 - 152*b**2 + 904/3 + 148*b.
4*(b - 113)*(b - 2)*(b + 1)/3
Let p = 43340 - 43338. Suppose -4/15*o - 2/15*o**p + 0 + 2/15*o**3 = 0. What is o?
-1, 0, 2
Let n(k) = -35*k**3 + 90*k**2 + 80*k - 255. Let t be -27 + 23 + 0 + 0. Let p(y) = 9*y**3 - 23*y**2 - 20*y + 64. Let u(q) = t*n(q) - 15*p(q). Factor u(l).
5*(l - 3)*(l - 2)*(l + 2)
Find p such that -3*p**4 - 35*p**3 + 15*p - 248*p**2 + 1182 + 92*p**3 + 468 + 64*p**2 - 95*p**2 = 0.
-2, 5, 11
Let o(n) be the third derivative of 1/504*n**8 + 0 + 0*n**3 + 0*n**4 - 1/120*n**6 - 66*n**2 + 1/40*n**5 + 0*n - 11/1260*n**7. Determine j so that o(j) = 0.
-1, 0, 3/4, 3
Let a(i) = i**2 - 40*i + 8. Let v be a(40). Factor v*g**2 - 10 + 2 - 3*g**2 - 19 + 3*g**3 - 3*g + 22*g**2.
3*(g - 1)*(g + 1)*(g + 9)
Let p(w) = -3*w - 3. Let l be p(-2). Solve -416*f**2 - 640 - 606 - 268*f + 1210 + 320*f**l = 0.
-1/4, 9/5
Let c = -2283 - -2283. Let b(h) be the second derivative of -1/18*h**3 + c*h**2 + 1/120*h**5 + 1/252*h**7 - 22*h - 1/60*h**6 + 0 + 1/24*h**4. Factor b(j).
j*(j - 2)*(j - 1)**2*(j + 1)/6
Let h(d) be the third derivative of 0*d + 15/2*d**3 - 69*d**2 + 2 - 11/16*d**4 + 1/40*d**5. Factor h(j).
3*(j - 6)*(j - 5)/2
Suppose 0 = -6*k + 6 + 6. Suppose 0 = k*f - 9 - 1. Factor -6*z**4 + 13*z + 6*z**2 - 16*z + 0*z**f + 3*z**5.
3*z*(z - 1)**3*(z + 1)
Let b(g) be the third derivative of 0*g - 7/2*g**4 + 0 + 43*g**2 + 1/30*g**6 + 22/3*g**3 + 3/5*g**5. Factor b(w).
4*(w - 1)**2*(w + 11)
Factor 5/3*y**3 - 280/3*y + 95/3*y**2 - 2940.
5*(y - 9)*(y + 14)**2/3
Let a(g) be the first derivative of -g**5/120 + g**4/16 - g**3/6 + 69*g**2/2 - 75. Let p(z) be the second derivative of a(z). Let p(u) = 0. What is u?
1, 2
Let t(u) be the second derivative of 3*u**2 - 10/9*u**4 + 0 + 17/6*u**3 - 4*u + 7/60*u**5. Factor t(h).
(h - 3)**2*(7*h + 2)/3
Let b(q) be the second derivative of 1/70*q**5 + 1 + 1/42*q**4 + 0*q**2 - 158*q - 1/21*q**3 - 1/105*q**6. Find v, given that b(v) = 0.
-1, 0, 1
Let g = 4448 - 22236/5. Let i(q) be the first derivative of g*q**2 + 2/15*q**3 - 8 + 6/5*q. Factor i(y).
2*(y + 1)*(y + 3)/5
Let w(p) be the second derivative of -p**6/72 - 5*p**5/12 + 55*p**4/24 - 38*p**3 - 284*p. Let d(m) be the second derivative of w(m). Factor d(g).
-5*(g - 1)*(g + 11)
Suppose -551*l + 452 + 805 = 155. Solve -2/5*f**3 + 0 + l*f**2 - 12/5*f = 0.
0, 2, 3
Let v(g) be the first derivative of 9/5*g**5 + 23/3*g**3 + 12*g**2 - 36*g - 27/4*g**4 - 1/6*g**6 + 61. Find l, given that v(l) = 0.
-1, 2, 3
Let z(s) = 28*s**2 + 603*s - 631. Let g(n) = 15*n**2 + 300*n - 315. Let d(q) = 9*g(q) - 5*z(q). Solve d(r) = 0.
-64, 1
What is a in 1/3 + 0*a - 1/3*a**2 = 0?
-1, 1
Let i be (7 + -13 - -7)/(2/4). Solve 0*m + 44*m**i + 11*m**2 - 25*m - 30*m**3 - 5*m + 5*m**4 = 0 for m.
0, 1, 2, 3
Let h(r) be the third derivative of 1/4*r**5 + 0 + 42*r - 2*r**2 - 1/42*r**7 - 5/3*r**3 + 5/24*r**4 - 1/24*r**6. Factor h(j).
-5*(j - 1)**2*(j + 1)*(j + 2)
Suppose 30*m - 225 = 15*m. Suppose 2*j - j = -3*o + m, -3*j + 5*o - 11 = 0. Factor -1/3*u**2 + 0 + 0*u - 1/3*u**j.
-u**2*(u + 1)/3
Let f(i) be the first derivative of 81*i**5/5 - 1386*i**4 - 3137*i**3/3 + 1106*i**2 - 276*i + 1078. Factor f(r).
(r - 69)*(r + 1)*(9*r - 2)**2
Let d(l) be the third derivative of -l**6/360 + 141*l**5/10 - 178929*l**4/8 - 52*l**2 + 44*l. Factor d(m).
-m*(m - 1269)**2/3
Let m(r) be the second derivative of 71*r + 13/3*r**4 - 1/45*r**6 + 80/9*r**3 + 4/5*r**5 + 0 + 9*r**2. Factor m(h).
-2*(h - 27)*(h + 1)**3/3
Let g(m) be the third derivative of 0 - 20/3*m**3 + 0*m - 1/12*m**5 - 5/4*m**4 + 248*m**2. Factor g(b).
-5*(b + 2)*(b + 4)
Find c, given that 11196/5*c**2 + 3248664948/5 + 4/5*c**3 + 10445868/5*c = 0.
-933
Suppose -7*r = -239 + 92. Factor 0*p**4 - r*p**3 + 4175*p - 4199*p + 42*p**2 + 3*p**4.
3*p*(p - 4)*(p - 2)*(p - 1)
Determine l so that 1388/13*l - 2/13*l**3 + 0 - 1386/13*l**2 = 0.
-694, 0, 1
Determine l, given that 345*l**4 + 40*l - 348*l**4 - 10*l**2 + 112*l**2 - 46*l**3 - 9*l**3 = 0.
-20, -1/3, 0, 2
Suppose 4*n = -5*t + 7, -211*n + 22 = 4*t - 216*n. Let r(a) be the first derivative of -12 + 12/13*a**2 - 2/39*a**t - 72/13*a. Determine u so that r(u) = 0.
6
Let b = 12690553/266235 + -6/88745. Determine j so that 1/3*j**3 + 25/3*j**2 - 169/3 + b*j = 0.
-13, 1
Let c = -14065/22 + -3159/11. Let o = -924 - c. Factor 3 + 1/2*m**2 - o*m.
(m - 3)*(m - 2)/2
Let l(t) be the second derivative of -t**2 - 38*t + 1/3*t**4 + 1/6*t**3 - 1/10*t**5 - 1/15*t**6 + 1/42*t**7 + 0. Factor l(s).
(s - 2)*(s - 1)**2*(s + 1)**2
Let a(x) be the first derivative of -x**5/5 + 19*x**4/4 - 30*x**3 + 36*x**2 - 6999. Factor a(q).
-q*(q - 12)*(q - 6)*(q - 1)
Let p(c) be the second derivative of -c**6/10 - 51*c**5/10 - 13*c**4/4 + 2346*c**3 - 28566*c**2 + 7340*c. Factor p(u).
-3*(u - 6)**2*(u + 23)**2
Let d = 9 - -3. Suppose -9 = -3*u + 4*q, -5*u + u = 3*q - d. Solve 15*m**5 - 35*m - 15*m**u + 35*m + 5*m**4 - 5*m**2 = 0 for m.
-1, -1/3, 0, 1
Let j = 9523/5730 + -71/1146. Solve -4/5*p**2 + 14/5*p + j = 0.
-1/2, 4
Let u(a) be the first derivative of 333 - 49/19*a**2 + 0*a + 2/57*a**3. Factor u(o).
2*o*(o - 49)/19
Let w(p) = -6*p**3 - 7*p**2 + 8*p - 5. Let r(y) = y**3 + y**2 + y - 1. Let i = -87 - -92. Let z(u) = i*r(u) + w(u). Factor z(a).
-(a - 2)*(a - 1)*(a + 5)
Solve -429 + 212*u**2 - 4*u**4 + 2361*u**3 - 2377*u**3 + 816*u - 579 = 0.
-6, 1, 7
Let b(y) be the first derivative of -2/5*y**5 + 0*y - 1/6*y**6 + 8/3*y**3 -