ctor u(n).
4*(n - 3)**2
Suppose 12 = 2*b - k, 153*k - 21 = b + 157*k. Factor 0 - 4*t + 122/7*t**2 + 18/7*t**b.
2*t*(t + 7)*(9*t - 2)/7
Suppose 2*x = -2*c + 10, 154*x = 152*x + c + 4. Let j(r) be the first derivative of 4/13*r - 1/13*r**2 - 5/26*r**4 - 16/39*r**x - 9. Factor j(f).
-2*(f + 1)**2*(5*f - 2)/13
Let f(i) = -23*i**2 + 107*i - 197. Let t(v) = -52*v**2 + 213*v - 393. Let w(m) = 7*f(m) - 3*t(m). Factor w(a).
-5*(a - 20)*(a - 2)
Suppose 0*l - 4*q + 5 = -l, -2*l = -4*q + 22. Let i = l + 18. Factor -15*p**2 + 5*p**3 + 0 + 2 + i + 15*p - 8.
5*(p - 1)**3
Let a be -23*(-2)/(-240) - (-100)/250. Let m(v) be the second derivative of 1/8*v**5 + 0*v**2 + 0 - 5/12*v**3 - 1/12*v**6 + a*v**4 + 3*v. Factor m(y).
-5*y*(y - 1)**2*(y + 1)/2
Let b(o) be the third derivative of 55*o**8/336 + 15*o**7/7 + 53*o**6/8 + 23*o**5/3 + 5*o**4/2 - o**2 + 17. Determine r, given that b(r) = 0.
-6, -1, -2/11, 0
Let q be (4 - 18/4)*(2 - 2). Suppose 0*h + 3*w = 2*h - 20, -2*h - 3*w + 8 = q. Factor 5*f - 2*f - 3*f**3 - 7*f**2 + h*f**2.
-3*f*(f - 1)*(f + 1)
Let d(v) = -9*v**2 + 52*v - 611. Let c(b) = -8*b**2 + 51*b - 585. Let z(o) = 8*c(o) - 7*d(o). Find i such that z(i) = 0.
13, 31
Let q(l) = 192*l - 1316. Let k be q(7). Let r(b) be the first derivative of -2/51*b**3 - 20/17*b**2 - k - 200/17*b. What is h in r(h) = 0?
-10
Let r(q) be the second derivative of q**6/180 + 21*q**5/20 + 31*q**4/18 - 7*q**3/2 - 125*q**2/12 + 18*q - 75. Solve r(w) = 0.
-125, -1, 1
Let p = 721 - 144926/201. Let l = 77/402 + p. Factor -l*h**2 - 2/3 + 2/3*h.
-(h - 2)**2/6
Let j = 6281 + -31404/5. Let u(z) be the second derivative of 0 - 1/60*z**4 + 5*z - 1/30*z**3 + j*z**2. Let u(y) = 0. Calculate y.
-2, 1
Let c(i) be the third derivative of -2*i**7/147 - 3637*i**6/210 - 94847*i**5/15 - 307945*i**4/14 - 175692*i**3/7 - 39*i**2 + 5*i. Let c(b) = 0. What is b?
-363, -1, -2/5
Let n(j) be the first derivative of -j**3/30 - 709*j**2/10 - 502681*j/10 + 2324. Solve n(m) = 0.
-709
Let v(n) be the third derivative of -5*n**8/1008 - n**7/18 + 29*n**6/12 + 395*n**5/9 + 875*n**4/9 + 6653*n**2. Suppose v(f) = 0. Calculate f.
-10, -1, 0, 14
Find r such that -423/4*r - 162 + 1/4*r**3 - 33/2*r**2 = 0.
-3, 72
Suppose t + 5*y + 996 = 0, -3*y - 1518 + 6526 = -5*t. Let u = -9005/9 - t. Suppose -1/9*h**2 + u - 1/3*h = 0. What is h?
-4, 1
Let w = -120502 - -120504. Factor 44/7*f + 40/7 + 4/7*f**w.
4*(f + 1)*(f + 10)/7
Let g = -10 - -13. Determine p so that 56*p**g - 52*p**3 + 2*p**2 - 12*p + 6*p**2 = 0.
-3, 0, 1
Factor 49*f - 553*f + 13417*f**3 - 26825*f**3 + 51*f**2 + 13411*f**3.
3*f*(f - 7)*(f + 24)
Let f(q) be the first derivative of 35 + 2*q + 3/2*q**4 + 5*q**2 + 14/3*q**3. Let f(s) = 0. What is s?
-1, -1/3
Let l = -729001/243 - -3000. Let r = l + 55/243. Solve 2/9*b**3 - 2/9*b + 2/9*b**4 + 0 - r*b**2 = 0.
-1, 0, 1
Let p(o) be the second derivative of 175/6*o**3 + 2*o - 3/4*o**5 + 40 + 30*o**2 - 5/3*o**4. Determine l so that p(l) = 0.
-4, -1/3, 3
Let z = 1571/404 - 14/101. Let c be 16/40*85*(-48)/(-2176). Factor -c*k + 15/4 + 3/4*k**3 - z*k**2.
3*(k - 5)*(k - 1)*(k + 1)/4
Suppose 5*w - i + 69 = 0, -5*w - 40 = 2*i + 32. Let f be -7 + (-147)/w + (-2)/1. Suppose -f*s**2 + 6 + 9/2*s = 0. Calculate s.
-1, 4
Solve 24*b**2 + 8/3*b**4 - 18*b + 0 - 2/9*b**5 - 12*b**3 = 0 for b.
0, 3
Suppose 236/3*u - 2/3*u**2 + 410 = 0. What is u?
-5, 123
Let c = -39/55045 - -1596422/165135. Let 28/3*p + 2/3*p**3 - c + 59/3*p**2 = 0. What is p?
-29, -1, 1/2
Let o(b) be the first derivative of 5 - 2/9*b**2 - 2/9*b + 2/27*b**3 + 1/9*b**4. Factor o(d).
2*(d - 1)*(d + 1)*(2*d + 1)/9
Suppose -10*k - 10*k = -10*k. Suppose -4*u = -5*w - 7, 3*u + k*w - 3*w - 6 = 0. Let -5/4*p**2 - 15/4*p + 15/4*p**u + 5/4 = 0. Calculate p.
-1, 1/3, 1
Let r(v) be the first derivative of -v**5/110 + 2*v**4/33 - v**3/11 + 56*v - 33. Let y(x) be the first derivative of r(x). Solve y(w) = 0 for w.
0, 1, 3
Let o(f) be the third derivative of 0*f - 120*f**2 + 1/15*f**5 + 0 + 25/12*f**4 + 4*f**3. Factor o(u).
2*(u + 12)*(2*u + 1)
Suppose -39*o - 378 = -102*o. Let r be (-520)/(-50)*1 - o. Solve -8/5*z**4 + 0 - r*z**3 + 4/5*z - 2*z**2 = 0 for z.
-2, -1, 0, 1/4
Let z(q) = -q**3 + 34*q**2 + q - 31. Let f be z(34). Solve -13*x + 16*x**3 - f*x - 80*x**4 - 29*x - 7*x + 8 + 36*x**5 + 72*x**2 = 0.
-1, 2/9, 1
Let z(j) = 2*j**3 + 10*j**2 - 4*j - 6. Let k be z(-5). Suppose -6*y - 2 + k = 0. Determine q so that 5*q + 2 - 1 - 11 + 5*q**y = 0.
-2, 1
Let b(y) = -17*y**2 - y + 2. Let k(n) = 101*n**2 - 120*n - 137. Let l(i) = 6*b(i) + k(i). Let l(v) = 0. Calculate v.
-125, -1
Let -2/7*n**2 + 8352/7*n - 8719488/7 = 0. What is n?
2088
Let j(f) be the first derivative of -1 - 9/8*f**4 + 3/10*f**5 - 1/40*f**6 + 0*f + 7/2*f**2 + 0*f**3. Let i(b) be the second derivative of j(b). Factor i(d).
-3*d*(d - 3)**2
Factor 0*h**2 + 0*h + 122/5*h**3 + 2/5*h**4 + 0.
2*h**3*(h + 61)/5
Suppose -8 = -20*b + 52. Suppose 2*i**2 - 44*i**b - 6*i + i**2 + 50*i**3 - 4*i**4 + i**4 = 0. What is i?
-1, 0, 1, 2
Let o be (5/(-7))/(3/(-21)*1). Let t(j) = 11*j**2 - 21*j - 8. Let b(r) = -10*r**2 + 18*r + 7. Let m(u) = o*t(u) + 6*b(u). What is d in m(d) = 0?
-2/5, 1
Suppose 5*w + 104 + 111 = 2*n, -3*w - 15 = 0. Let z = 287/3 - n. Factor 0 + 0*j + z*j**5 - 16/3*j**2 + 4/3*j**4 - 8/3*j**3.
2*j**2*(j - 2)*(j + 2)**2/3
Let a(f) be the second derivative of -5*f**7/42 - 5*f**6/3 - 9*f**5/2 + 80*f**4/3 + 575*f**3/6 - 375*f**2 + 5157*f. Suppose a(k) = 0. Calculate k.
-5, -3, 1, 2
Suppose 2*u - 149 = -m, m = 5*u + 148 + 36. Suppose -c - m + 167 = 0. Suppose -28*n**2 + 7*n**3 - 3*n + 10*n**2 + 23*n - n**4 - c = 0. Calculate n.
1, 2
Factor 0 + 88/7*f - 1/7*f**4 - 177/7*f**2 + 90/7*f**3.
-f*(f - 88)*(f - 1)**2/7
Suppose -217 = -6*o - 283. Let u be (o + 315/30)*(-10)/3. What is v in 20/3*v**3 + 10/3*v**2 + 0*v**4 - 10/3 - 5*v - u*v**5 = 0?
-1, 1, 2
Let s = -50554 + 252772/5. Factor 4*q + 9/5*q**4 - 21/5*q**3 - 8/5 - s*q**2.
(q - 2)*(q + 1)*(3*q - 2)**2/5
Suppose 0 = -52*n + 56*n - 8. Let k be 10 + 2/(n - 1). Factor -10 - 370*y + 335*y + 8*y**2 + k*y**2.
5*(y - 2)*(4*y + 1)
Let i(u) be the third derivative of -7*u**6/160 - 89*u**5/80 + 31*u**4/8 - 7*u**3/2 - 22*u**2 + 24*u. Solve i(l) = 0.
-14, 2/7, 1
Suppose -3*q + 15 = -3*u, -53 + 48 = -4*q + u. Suppose -22 = -2*d - 3*d - 3*a, 5*d + 4*a = 26. Factor 2*j - 5*j**d + 397 - 62*j + q*j**2 - 577.
-5*(j + 6)**2
Let k(f) = 13*f**2 - 1195*f + 45010. Let o(r) = -r**2 - 7*r + 39. Let d be o(-11). Let w(m) = 6*m**2 - 598*m + 22504. Let t(u) = d*w(u) + 2*k(u). Factor t(g).
-4*(g - 75)**2
Let d = 38 + -37. Let h(m) = -m**3 + m + 1. Let y = -41 - -38. Let i(u) = 2*u**3 - 5*u**2 - 27*u + 3. Let x(o) = d*i(o) + y*h(o). Find q, given that x(q) = 0.
-2, 0, 3
Let a(m) be the first derivative of -2*m**5/25 + 17*m**4/30 + 16*m**3/45 - 4*m**2/5 + 994. Let a(o) = 0. Calculate o.
-1, 0, 2/3, 6
Let g(s) be the third derivative of -s**6/420 + 13*s**5/105 - 109*s**4/84 + 4*s**3 + 8117*s**2. Factor g(w).
-2*(w - 21)*(w - 4)*(w - 1)/7
Let i(y) be the second derivative of 21/40*y**5 + 0*y**2 + 0 + 1/20*y**6 - 7/4*y**3 - 1/8*y**4 + 83*y. Determine x, given that i(x) = 0.
-7, -1, 0, 1
Let f(g) be the first derivative of 4*g**3/21 - 1828*g**2/7 + 835396*g/7 - 1225. Factor f(r).
4*(r - 457)**2/7
Let h(d) be the second derivative of 46875*d**4/22 + 250*d**3/11 + d**2/11 + 1209*d. Suppose h(u) = 0. What is u?
-1/375
Let o be (-62)/(-3627) + (-1344)/(-3510). Let 4/5 + o*s**2 + 6/5*s = 0. What is s?
-2, -1
Let r = 78/1865 - -12431/14920. Factor r*y**2 + 5/4*y + 0 + 1/8*y**3.
y*(y + 2)*(y + 5)/8
Solve 351/5*y + 2/5*y**2 - 176/5 = 0 for y.
-176, 1/2
Let l = 30350/27 - 1124. Let h(a) be the first derivative of -2/45*a**5 - 3 - l*a**3 + 0*a**2 + 0*a - 1/9*a**4. Factor h(k).
-2*k**2*(k + 1)**2/9
Factor -16/7 - 1/7*a**3 - 24/7*a - 9/7*a**2.
-(a + 1)*(a + 4)**2/7
Let z be (-7 + (-21)/(-6))/((-105)/60). Factor z*q**2 + 4/3 + 1/3*q**3 + 3*q.
(q + 1)**2*(q + 4)/3
Let t = 337/442 + -1475/3094. Factor 3362/7 - 164/7*r + t*r**2.
2*(r - 41)**2/7
Factor 520/3*i**2 + 3 - 43*i - 400/3*i**3.
-(i - 1)*(20*i - 3)**2/3
Suppose t - 429 = -428. Suppose -2*g = 0, -v + g + 2 = -t. Factor -1/3*j**v - 1/3*j**2 + 1/3*j + 1/3*j**4 + 0.
j*(j - 1)**2*(j + 1)/3
Let i(s) be the second derivative of -s**4/24 - 23*s**3/12 + 6*s**2 + 1223*s. Factor i(y).
