 the first derivative of w**7/210 + w**6/40 - 4*w**5/15 + w**4/2 - 51*w**2/2 + 2*w + 49. Let j(k) be the second derivative of v(k). Factor j(l).
l*(l - 2)*(l - 1)*(l + 6)
Solve 3095*k**2 + 920*k + 4809*k**2 - 1102*k - 12*k**3 - 4050*k - 1548*k**2 = 0 for k.
0, 2/3, 529
Let v = -892/19 - -7650/133. Let f = 352036/7 - 50288. Determine x so that -v*x - 2*x**2 - f = 0.
-5, -2/7
Factor 96*z + 94647 + 104*z + 69*z**2 + z**3 - 94515.
(z + 1)*(z + 2)*(z + 66)
Let j = 25673107/20274 - 474/3379. Let s = -1262 + j. Find i such that 4/3 + 19/3*i**2 - 14/3*i + 4/3*i**4 - 1/6*i**5 - s*i**3 = 0.
1, 2
Let s(a) be the first derivative of -a**5/25 + 7*a**4/10 - 8*a**3/15 - 31*a**2/5 - 39*a/5 - 9. Factor s(d).
-(d - 13)*(d - 3)*(d + 1)**2/5
Let n(c) be the second derivative of -c**4/4 + 21*c**3 - 351*c**2/2 + 2809*c. Find x, given that n(x) = 0.
3, 39
Let w(s) be the second derivative of 25 + 16*s**2 + 8/15*s**6 - 10/3*s**4 - 8/3*s**3 - 2*s + 1/5*s**5 + 2/21*s**7. Let w(y) = 0. What is y?
-2, 1
Let j(o) be the first derivative of 0*o**3 - 15*o**2 + 7/36*o**4 + 16 + 0*o + 1/90*o**5. Let q(f) be the second derivative of j(f). Find t such that q(t) = 0.
-7, 0
Let t = 5914 - 5914. Let n(b) be the third derivative of -3/2*b**3 + 0 + 14*b**2 - 1/240*b**5 + t*b - 1/8*b**4. Determine u, given that n(u) = 0.
-6
Let q(r) = -r**2 - 10*r + 45. Let l be q(-13). Factor -7*z**3 - 5*z**3 - 6*z**2 + l + 5692*z + 3*z**5 - 5683*z.
3*(z - 2)*(z - 1)*(z + 1)**3
Let d be (-2 - 32/(-14))*-7. Let y be (-9)/d*-6*(-4)/18. Find g such that 3*g**2 + 5*g - y*g + g - 3 = 0.
-1, 1
Let x(t) = -t**3 - t**2 + 2*t - 7. Let u(r) = -r**3 - 6*r**2 - 3*r + 7. Let p be u(-5). Let z be x(p). Factor -15*n - 13 - z*n**3 - 9 + 17 - 15*n**2.
-5*(n + 1)**3
Suppose 30 = f + 5*f. Let o(d) = 7*d**4 - 6*d**2 + 4*d. Let s(v) = 6*v**4 - 6*v**2 + 4*v. Suppose -11*q - 2*q = 52. Let c(w) = f*s(w) + q*o(w). Solve c(m) = 0.
-2, 0, 1
Let y = -467 + 472. Suppose -y*c - 10 = -5*l, 2*l - 16 = -3*c - c. Factor 30/7 + 72/7*n + 24/7*n**c.
6*(2*n + 1)*(2*n + 5)/7
Let -1288*k - 1044*k**3 - k**4 - 4420*k - 4709*k + 5276*k**2 + 37*k**4 + 2833*k + 4*k**5 + 3312 = 0. What is k?
-23, 1, 6
Let v = 150 - 310. Let u = v + 160. Determine j so that 8/7*j**2 - 8/7*j**3 + 2/7*j**4 + 0 + u*j = 0.
0, 2
Let n(l) be the second derivative of l**5/90 - 5*l**4/18 + l**3 + 27*l**2 + 5*l - 53. Determine g, given that n(g) = 0.
-3, 9
Suppose -6*m + 2*m = -12. Determine c, given that 45*c**2 + 52*c**4 + 148*c**m + 49*c**2 + 28*c - 8 + 38*c**2 = 0.
-1, 2/13
Let o = 69/5 - 331/24. Let t(g) be the third derivative of 11*g**2 + 0*g + 0*g**3 + 1/24*g**4 + 0 - o*g**6 + 1/120*g**5 - 1/420*g**7. Factor t(u).
-u*(u - 1)*(u + 1)*(u + 2)/2
Let b = -1406 - -1420. Let t(x) be the first derivative of -8*x**2 + b + 4/3*x**3 + 12*x. Factor t(o).
4*(o - 3)*(o - 1)
Suppose -70*p + 371 + 94 = 45. Factor -26/5 + 2/5*a**3 - p*a**2 + 54/5*a.
2*(a - 13)*(a - 1)**2/5
Suppose -4*d + 3*f = 0, 3*d + 11 = -199*f + 204*f. Factor -2/3*s**d - 2/3 - 26/9*s**2 - 26/9*s.
-2*(s + 1)*(s + 3)*(3*s + 1)/9
Suppose -1057*c = -678 - 1436. Let -27*f**2 + 4 + c*f + 25/2*f**4 - 25/2*f**3 = 0. Calculate f.
-1, -2/5, 2/5, 2
Let o be 21/((-273)/(-208)) + -12. Let g(t) be the first derivative of 1/8*t**o + 5/4*t**2 - t + 11 - 2/3*t**3. Factor g(w).
(w - 2)*(w - 1)**2/2
Let l = 23/107 + 61/214. Let y(t) be the second derivative of -3/4*t**2 - 1/60*t**6 + 2*t + 3/20*t**5 - l*t**4 + 0 + 5/6*t**3. What is s in y(s) = 0?
1, 3
Solve -3/7*m**3 - 306/7*m**2 + 3/7*m + 306/7 = 0.
-102, -1, 1
Let b(m) be the second derivative of m**5/10 + 17*m**4/6 - 8*m**3 - 108*m**2 - 2*m - 3. Factor b(l).
2*(l - 3)*(l + 2)*(l + 18)
Let i(c) be the second derivative of -1/190*c**5 - 6*c + 5 - 5/19*c**3 + 9/19*c**2 + 7/114*c**4. Let i(v) = 0. What is v?
1, 3
Let o(k) be the third derivative of k**7/1050 + k**6/150 - k**5/30 - 7*k**4/30 - k**3/2 + 786*k**2. Factor o(n).
(n - 3)*(n + 1)**2*(n + 5)/5
Let x(d) be the second derivative of d**6/330 - 9*d**5/220 - 7*d**4/44 + 245*d**3/66 - 4543*d. Let x(m) = 0. What is m?
-5, 0, 7
Let p(u) be the first derivative of 2523*u**2 + 48778*u + 1/2*u**4 + 58*u**3 + 28. Suppose p(k) = 0. What is k?
-29
Let a(d) be the third derivative of 0*d + 1/420*d**7 + 1/2*d**3 + 65*d**2 + 17/120*d**5 + 0 + 17/48*d**4 + 7/240*d**6. Suppose a(h) = 0. Calculate h.
-3, -2, -1
Let q(j) be the first derivative of -j**4/4 + 10*j**3/3 - j**2 + 20*j - 127. Let w be q(10). Suppose w*s + 2/5*s**2 + 0 = 0. What is s?
0
Let b(v) be the third derivative of 5*v**4 + 0 + 1/20*v**5 + 200*v**3 + 0*v + 66*v**2. Factor b(f).
3*(f + 20)**2
Let d(l) be the first derivative of -2*l - 14 - 2*l**2 - 16/3*l**4 + 16/3*l**3. Let y(o) be the first derivative of d(o). Factor y(h).
-4*(4*h - 1)**2
Suppose -74*g + 35 = -202*g + 35. Let k(m) be the second derivative of -1/60*m**5 + 1/18*m**3 + g*m**2 + 0 + 1/90*m**6 - 1/36*m**4 + m. Solve k(t) = 0.
-1, 0, 1
Let r be 90/(-60)*(-16)/6. Let x(v) be the third derivative of -8/9*v**3 + 0*v + 0 - 1/6*v**r - 19*v**2 - 1/90*v**5. Let x(c) = 0. Calculate c.
-4, -2
Let t(w) be the third derivative of w**7/70 - 9*w**6/40 + 7*w**5/10 + 3*w**4 - 1576*w**2. Factor t(u).
3*u*(u - 6)*(u - 4)*(u + 1)
Let a = -10911 - -10915. Let v(s) be the first derivative of 25 - 1/2*s**2 + 0*s + 1/3*s**3 - 1/16*s**a. Factor v(d).
-d*(d - 2)**2/4
Let b = 7 + -9. Let h be (b/3 + -5 + 6)*6. Factor -132*y**3 - h*y + 134*y**3 + 5 - 5.
2*y*(y - 1)*(y + 1)
Let q(p) be the third derivative of -3/100*p**5 - 3/560*p**8 + 1/20*p**4 + 1/50*p**7 - 2*p**2 + 0*p + 0*p**3 - 28 - 3/200*p**6. What is j in q(j) = 0?
-2/3, 0, 1
Factor 214*o**2 - 103*o**3 - 161 - 679 + 3*o**4 - 10*o**4 + 412*o + 14*o**4 - 8*o**4.
-(o - 2)**2*(o + 2)*(o + 105)
Let x(m) be the third derivative of -13*m**5/20 - 197*m**4/24 - 5*m**3/3 - 217*m**2 + 2*m. Determine q so that x(q) = 0.
-5, -2/39
Suppose 634*n = 397*n + 474. What is y in 3/4 + 13/2*y**3 + 10*y**n + 11/2*y + 5/4*y**4 = 0?
-3, -1, -1/5
Let s(u) be the first derivative of -u**4/8 - 199*u**3 - 118803*u**2 - 31522396*u - 6. Solve s(y) = 0 for y.
-398
Let k be (-1273)/(-114) - 4 - 1*7. Let u(j) be the second derivative of k*j**4 + 0*j**2 - 1/3*j**3 + 8*j + 0. What is g in u(g) = 0?
0, 1
Let h(p) = 3*p**5 + 121*p**4 + 1667*p**3 + 8083*p**2 + 6534*p - 4. Let u(w) = w**4 + 2*w**3 + w**2 + 2. Let d(q) = h(q) + 2*u(q). Let d(m) = 0. Calculate m.
-18, -11, -1, 0
Let x(u) be the second derivative of -u**5/4 - 5*u**4 - 175*u**3/6 - 60*u**2 + 210*u + 7. Factor x(g).
-5*(g + 1)*(g + 3)*(g + 8)
Suppose -312 = 189*u - 690. Let b(x) be the third derivative of 15*x**u - 19/20*x**5 - 99/8*x**4 + 0 + 0*x - 81/2*x**3 - 1/40*x**6. Factor b(a).
-3*(a + 1)*(a + 9)**2
Let x(w) = -w**3 - 8*w**2 - 17*w - 4. Let d be x(-3). Factor -12*b**3 - 17*b**2 - 2948*b + 2942*b + d*b**5 + b**2.
2*b*(b - 3)*(b + 1)**3
Let f = 330 + -329. Let b(n) = n**2 - 2*n - 1. Let q(z) = -35*z**2 + 650*z - 17375. Let j(r) = f*q(r) + 30*b(r). Find u, given that j(u) = 0.
59
Let m = 12498 - 12492. Let a(x) be the first derivative of -23 - 2197/3*x**m + 0*x - 2366/5*x**5 + 429*x**4 + 8*x**2 - 296/3*x**3. Solve a(d) = 0 for d.
-1, 0, 2/13
Let x(p) be the second derivative of -13/2*p**2 - 41*p - 20/3*p**3 - 1/4*p**4 + 0. Let x(q) = 0. Calculate q.
-13, -1/3
Let r(s) = s**2 - 274*s - 552. Let t be r(-2). Let f(v) be the first derivative of -1/10*v**4 + 4/15*v**3 + 0*v**2 + t*v - 17. Suppose f(w) = 0. What is w?
0, 2
Determine y so that -1607*y**2 - 45*y**4 + 530*y - 53 + 582*y**2 + 480*y**3 - 27 = 0.
1/3, 2, 8
Let q be (1/(3/(-18)))/(-3 + 2). Suppose 17*c = 15*c + q. Suppose -29*f**5 - 6*f**4 + 63*f**5 - 31*f**5 + 3*f**c = 0. What is f?
0, 1
Let o = -422490 - -7182332/17. Factor o*l**3 + 134/17*l + 70/17*l**2 + 66/17.
2*(l + 1)**2*(l + 33)/17
Suppose -f + 4*t - 24 = 0, 0 = 3*f + 109*t - 110*t - 5. Let h = 4826/2807 - 2/401. Find z, given that -15/7*z**3 - 3/7*z**5 + 0*z + 0 - 6/7*z**2 - h*z**f = 0.
-2, -1, 0
Let m(x) be the first derivative of 2*x**3/3 + 85*x**2 - 900*x + 2250. Solve m(g) = 0.
-90, 5
Suppose 97*k + 9*k = 36*k + 350. Let x(z) be the first derivative of -3*z**4 - 4*z**2 + 2/3*z**6 - 20/3*z**3 + 4/5*z**k - 16 + 0*z. Suppose x(q) = 0. What is q?
-1, 0, 2
Let s(r) be the second derivative of -r**5/30 - 5*r**4/6 + 37*r**3/9 + 17*r**2 -