+ 0*a. Factor t(f).
3*(f - 5)*(f - 1)*(f + 1)/5
Let q(j) be the first derivative of 100*j - 223 - 4/3*j**3 - 48*j**2. Determine l, given that q(l) = 0.
-25, 1
Let i(p) be the third derivative of -p**8/1344 + p**7/420 + p**6/96 - p**5/40 + 4538*p**2. Let i(v) = 0. What is v?
-2, 0, 1, 3
Let g(s) be the second derivative of s**7/126 - 11*s**6/90 - 41*s**5/60 - 17*s**4/36 + 20*s**3/9 + 14*s**2/3 - 2615*s. Let g(u) = 0. What is u?
-2, -1, 1, 14
Let k = -23902 + 165804/7. Let l = k - -216. Factor 0*n + 4/7*n**3 - 2/7*n**2 - l*n**4 + 0.
-2*n**2*(n - 1)**2/7
Suppose 10*v - 19*v = 81. Let k(m) = -2*m**2 - 24*m - 49. Let h be k(v). Find f, given that -3/2*f**2 + 0 + 1/2*f**h + 0*f - 1/2*f**4 - 5/2*f**3 = 0.
-1, 0, 3
Let s(w) = 4*w + 13. Let j be s(-10). Let f = j + 47. Solve -f*m + 3*m**2 + 3*m**2 + m**2 - 2*m**2 = 0 for m.
0, 4
Let g(l) = l**2 + l - 1. Let r(x) = x**2 - 2*x - 7. Suppose 0 = -28*m + 23*m - 40. Let d(a) = -a - 7. Let w be d(m). Let n(z) = w*r(z) - 4*g(z). Factor n(s).
-3*(s + 1)**2
Solve -264/5*t - 2/5*t**3 + 0 - 56/5*t**2 = 0.
-22, -6, 0
Let k be ((-1)/4)/(63/(-4508)) + 85 + -78. Suppose -28/9*l**4 + 0 + 22/3*l**3 + 128/9*l + 2/9*l**5 + k*l**2 = 0. What is l?
-1, 0, 8
Let q(r) = -r**2 + r - 2. Let i(w) be the second derivative of -w**4/6 - 3*w**2/2 + 16*w. Let s be 7/3 - (80/24 + -3). Let p(h) = s*i(h) - 3*q(h). Factor p(n).
-n*(n + 3)
Let 815*v - 3019*v - 184*v**3 + 2*v**4 - 13632 + 12752 + 1246*v**2 + 4*v**4 = 0. What is v?
-1/3, 4, 5, 22
Suppose 97*d = -27*d + 31*d. Let y(x) be the third derivative of 0 - 2/315*x**5 + 0*x**3 + 1/84*x**4 + d*x + 1/1260*x**6 + 12*x**2. Factor y(i).
2*i*(i - 3)*(i - 1)/21
Suppose 3*b - 8 = -0*y + y, -3*y = -b. Let p(c) = -c**2 + 6*c - 7. Let h be p(b). Factor -h*v**2 - 39*v - 3*v**2 + 19*v + 0*v**2.
-5*v*(v + 4)
Suppose 22*i - 240 = -18*i. Suppose 3*d - 5*s + 9 = 0, 3*d - 6 = i*d - 4*s. Find z, given that 0 - 7/6*z**4 - 1/3*z + 7/6*z**d + 5/6*z**5 - 1/2*z**3 = 0.
-1, 0, 2/5, 1
Let a = 240 - 235. Let b(p) = 8*p**3 - 44*p**2 + 100*p - 92. Let d(o) = 9*o**3 - 45*o**2 + 97*o - 91. Let z(h) = a*b(h) - 4*d(h). Factor z(y).
4*(y - 6)*(y - 2)**2
Factor -395307/2 - 3/8*o**2 + 1089/2*o.
-3*(o - 726)**2/8
Suppose -4*l + 61 = 3*r, 71*l - 125 = -5*r + 69*l. Factor 12*q**3 - 20*q**4 - 16*q - 51*q**5 + 28*q**5 + 20*q**2 + r*q**5.
4*q*(q - 4)*(q - 1)**2*(q + 1)
Let r = -989/9 - -12941/117. Let u(w) be the first derivative of 2/13*w**5 + 1/39*w**6 - r*w**3 + 18/13*w - 3/13*w**2 - 15 + 1/13*w**4. Let u(g) = 0. What is g?
-3, -1, 1
Let a(c) be the first derivative of c**6/12 + 49*c**5/10 - 51*c**4/4 + c**3/3 + 101*c**2/4 - 51*c/2 - 1910. Factor a(z).
(z - 1)**3*(z + 1)*(z + 51)/2
Let o(b) be the third derivative of -b**11/77616 + 11*b**10/529200 - b**9/105840 + 2*b**5/5 - 58*b**2. Let j(f) be the third derivative of o(f). Factor j(a).
-2*a**3*(3*a - 1)*(5*a - 2)/7
Let b(z) = -3*z - 3. Suppose -8 = -u - 10. Let s be b(u). Factor 32*p + 11*p**2 + 9*p**2 + 16 + 9*p**3 + 8*p**s - 13*p**3.
4*(p + 1)*(p + 2)**2
Find p such that 369603/7 + 2106/7*p + 3/7*p**2 = 0.
-351
Suppose 798 - 99*m - 24*m**2 - 2451 + 733 + 818 = 0. Calculate m.
-17/8, -2
Let s(m) = 375*m**2 + 39960*m - 8871155. Let y(f) = 43*f**2 + 4440*f - 985684. Let t(w) = 4*s(w) - 35*y(w). Solve t(h) = 0 for h.
444
Factor -7/2*s**3 - 62*s**2 + 0 + 18*s.
-s*(s + 18)*(7*s - 2)/2
Determine y, given that 44/3*y**3 - 704*y - 388/3*y**2 - 1/3*y**4 - 768 = 0.
-2, 24
Let o(d) = 2*d**2 - 566*d + 576. Let u(m) = 2*m**2 - 566*m + 574. Let q(z) = 5*o(z) - 6*u(z). Factor q(s).
-2*(s - 282)*(s - 1)
Let r = 275235/7 - 39318. Determine y so that 3/7*y + r*y**2 - 3/7*y**3 - 9/7 = 0.
-1, 1, 3
Suppose -3*a + 11 = -1. Let j(b) = -6*b**3 - 6*b**2 - 4. Let l(c) = -6*c**3 - 5*c**2 - 5. Let p(i) = a*l(i) - 5*j(i). Factor p(q).
2*q**2*(3*q + 5)
Let x(j) be the third derivative of -26*j**2 + 8*j**3 - 1/6*j**5 - 2*j + 2/3*j**4 + 1/90*j**6 + 0. Let b(o) be the first derivative of x(o). Factor b(a).
4*(a - 4)*(a - 1)
Let u be 2/2 - (22/(-330))/((-9)/15). Let p(a) be the first derivative of u*a**3 - 2*a**2 - 1/9*a**4 + 0*a + 3. Factor p(c).
-4*c*(c - 3)**2/9
Let b = 7953 + -7953. Let h(z) be the third derivative of 1/660*z**6 + 2/1155*z**7 + 0*z + 6*z**2 + 0*z**3 + 1/1848*z**8 + 0 + 0*z**4 + b*z**5. Factor h(j).
2*j**3*(j + 1)**2/11
Let p(n) be the third derivative of n**7/105 + 77*n**6/60 - 79*n**5/30 - 77*n**4/12 + 26*n**3 - 5337*n**2. Factor p(i).
2*(i - 1)**2*(i + 1)*(i + 78)
Let z(o) = -7*o**2 - 1. Let h(f) = -48*f**2 + 1304*f - 7. Let v(w) = -h(w) + 7*z(w). Factor v(k).
-k*(k + 1304)
Let x(a) = -a**3 - 10*a**2 + 11*a + 4. Let m be x(-11). Suppose -m*p + 12*p - 6*p = 0. Factor 0*s - 4/13*s**2 + p*s**3 + 2/13*s**4 + 2/13.
2*(s - 1)**2*(s + 1)**2/13
Let s(v) be the second derivative of 0*v**3 - 1 + 2/3*v**5 + 0*v**2 + 53*v - 1/45*v**6 + 0*v**4. Determine y, given that s(y) = 0.
0, 20
Determine z so that -7 - 3*z + 1/4*z**2 = 0.
-2, 14
Suppose -219*m = -224*m - 3*y + 2*y + 10, 0 = 2*y. Let 10/9 - 31/9*z + 1/3*z**m = 0. What is z?
1/3, 10
Let o(d) be the second derivative of -d**6/120 - d**5/30 + 5*d**4/24 + d**3 + 50*d**2 + d + 12. Let s(a) be the first derivative of o(a). Factor s(l).
-(l - 2)*(l + 1)*(l + 3)
Let o(v) = -v**2 - 408*v + 6922. Let z(m) = -1343 + 204*m - 1322 + 25 - 822. Let g(n) = -3*o(n) - 7*z(n). Let g(y) = 0. What is y?
34
Let s = 150502/7281 + 530/2427. Find i such that 368/9*i**2 + 136/3*i**3 + 8/3*i**5 + 16*i + 20/9 + s*i**4 = 0.
-5, -1, -1/2, -1/3
Let b = -689 + 1329. Factor -b + 318 + 320 + j**2 - j.
(j - 2)*(j + 1)
Let l = -995935 - -6982735/7. Let u = -1598 + l. Factor u*n**2 - 1/7*n**3 - 5/7*n + 2/7.
-(n - 2)*(n - 1)**2/7
Let d(c) be the third derivative of 3*c**7/70 - 493*c**6/20 - 578*c**5/5 - 827*c**4/4 - 331*c**3/2 - 2061*c**2. Suppose d(m) = 0. What is m?
-1, -1/3, 331
Let u(l) = 44*l**2 + 3064*l - 16168. Let p(w) = 8*w**2 + 557*w - 2940. Let q(k) = 28*p(k) - 5*u(k). Factor q(r).
4*(r - 5)*(r + 74)
Let k = 339249 - 339247. Factor 2*g**4 - g**k - 2*g**3 + 5/2*g - 1/2*g**5 - 1.
-(g - 2)*(g - 1)**3*(g + 1)/2
Let r = 332123/3 + -110707. Factor -r - 2/9*l**2 + 8/9*l.
-2*(l - 3)*(l - 1)/9
Let a(o) be the second derivative of 3*o**5/20 - o**4/4 - 57*o**3/2 - 405*o**2/2 + 2828*o. Factor a(s).
3*(s - 9)*(s + 3)*(s + 5)
Let t be 1134/(-405) - (648/(-60) + 6). Determine i, given that -2/3 - 22/9*i - 4/9*i**t + 10/9*i**4 + 28/9*i**3 - 2/3*i**5 = 0.
-1, -1/3, 1, 3
Let 15*v**5 - 14*v + 9*v**2 + 24*v**2 + 7*v**3 + 5*v**3 - 13*v + 21*v**2 - 54*v**4 = 0. What is v?
-1, 0, 3/5, 1, 3
Let b be (-2832534492)/(-358308) - (-1)/37. Suppose -616/3*v - 4/3*v**2 - b = 0. What is v?
-77
Let f(s) = -31*s**3 + 804*s**2 - 3087*s + 3152. Let q(y) = 7*y**3 - 201*y**2 + 774*y - 788. Let o(k) = 2*f(k) + 9*q(k). Suppose o(u) = 0. Calculate u.
2, 197
Let 14*k**2 + 22*k**2 - 4164*k - 31*k**2 + 2797520 - 3316*k = 0. What is k?
748
Let m(n) = 14*n**4 + 328*n**3 + 2*n**2 - 312*n. Let b(v) = -5*v**4 - 110*v**3 - v**2 + 104*v. Let j(g) = 8*b(g) + 3*m(g). Suppose j(c) = 0. Calculate c.
-52, -1, 0, 1
Let q = 347 - 343. Let m(y) = 2*y**3 + 32*y**2 + 72*y + 8. Let s(v) = v**3 + 2. Let z(f) = q*s(f) - m(f). Factor z(p).
2*p*(p - 18)*(p + 2)
Let q(r) be the third derivative of -9*r**8/11200 + r**7/1400 - r**6/3600 - 229*r**5/60 - 3*r**2 + 35*r. Let m(x) be the third derivative of q(x). Factor m(c).
-(9*c - 1)**2/5
Solve 342*o - 34*o + 543*o - 7*o**2 + 4*o**2 - 104*o = 0.
0, 249
Let i(l) = -96*l + 11520. Let w be i(120). Factor -1/2*d**3 + 0 + w*d + 19/2*d**2.
-d**2*(d - 19)/2
Let z be -3 - 309/(-21) - (-2)/7. Suppose -z*g = -g - 22. Solve -7*y - 4*y - 4*y**4 + 12*y**2 + 0*y**g + 3*y = 0.
-2, 0, 1
Let d(q) be the second derivative of -q**7/350 + q**6/450 + q**5/75 + 23*q**3/6 + 45*q. Let k(s) be the second derivative of d(s). Factor k(x).
-4*x*(x - 1)*(3*x + 2)/5
Let k(n) = n**3 + 52*n**2 - 52*n + 72. Let d be k(-53). Let m(u) be the first derivative of 0*u**2 + 0*u + d + 2/9*u**3 + 1/6*u**4. Factor m(w).
2*w**2*(w + 1)/3
Let u be 805/42 - 19 - (-2 + (-34)/84). What is q in -u - 3/7*q + 15/7*q**2 = 0?
-1, 6/5
Suppose 31*r - 110656 = 12*r. Find j, given that -2*j**2 - r - 18*j + 5824 = 0.
-9, 0
Let h(i) be the first derivative of 2*i**6/9 - 28*i**5/3 + 287*i**4/3 + 1436*i**3/9 - 192*i**2 - 432*i - 181. Solve 