.
(w + 1)*(29*w + 2)/4
Let j(q) be the third derivative of -2/15*q**5 - q**3 - 13/24*q**4 + 0 + 0*q - 1/120*q**6 + 127*q**2. Factor j(a).
-(a + 1)**2*(a + 6)
Let n = 272153/24188 + -19/12094. Suppose -3/8*s**3 + n - 141/8*s + 27/4*s**2 = 0. Calculate s.
1, 2, 15
Let z be (-3 + 5 + -8)/((-9)/6). What is f in 4*f**2 + 59*f**5 - 15 + 9*f**z + 27*f + 2*f**2 - 30*f**3 - 56*f**5 = 0?
-5, -1, 1
Let v(d) = 7*d**2 - 415*d + 833. Let j be v(2). Let g(l) be the first derivative of 0*l**2 - l**3 + 0*l + j - 3/4*l**4. Factor g(f).
-3*f**2*(f + 1)
Suppose 11/2*c - 11/2*c**3 + 9/2*c**2 - 5 + 1/2*c**4 = 0. Calculate c.
-1, 1, 10
Let h(j) be the second derivative of 2*j**7/21 - 6*j**6/5 - 6*j**5/5 + 62*j**4/3 - 50*j**3 + 54*j**2 - 6*j + 24. Find l such that h(l) = 0.
-3, 1, 9
Suppose u + 14 = 3*j + 2*u, -2 = 2*u. Let l be 5 + (j - 476/49). Factor -2/7*i**3 + 2/7*i + 2/7*i**2 + 0 - l*i**4.
-2*i*(i - 1)*(i + 1)**2/7
Let i be (1224/96)/(3/8). Suppose 2*g + p - 14 = -0, 5*g + 2*p - i = 0. Factor -10*b**2 - 4*b - g*b**2 + 4*b**2 + 4*b**3 + 12.
4*(b - 3)*(b - 1)*(b + 1)
Suppose 50*o - 56*o = -18. Determine t so that 0*t**5 + 60*t**o - 20*t**4 + 30 - 55*t - 73*t**2 + 63*t**2 - 5*t**5 = 0.
-6, -1, 1
Let h = 60 + -58. Factor -50647*g**2 + 93*g + 19*g + 50643*g**h.
-4*g*(g - 28)
Let b(v) be the first derivative of 42*v - 2/3*v**3 + 20*v**2 - 17. Determine h, given that b(h) = 0.
-1, 21
Suppose -2*b - 2*v = 0, -4*v - 262 = -246. Let x(n) be the third derivative of 1/150*n**5 - 1/15*n**3 + 0 + 0*n + 1/60*n**b - 1/300*n**6 + n**2. Factor x(z).
-2*(z - 1)**2*(z + 1)/5
Let p = 1340/429 - 256/143. Factor 2/3 + 2/3*b**2 + p*b.
2*(b + 1)**2/3
Factor 68/7*b**2 + 20 + 2/21*b**3 - 626/21*b.
2*(b - 2)*(b - 1)*(b + 105)/21
Factor 4549*k - 4561*k - 28 - k**2 + 2*k**2.
(k - 14)*(k + 2)
Let j(r) = -r + 23. Let y be j(20). Let i(s) = 2*s**3 + 8*s**2 + 2*s - 10. Let u(c) = -2*c**3 - 9*c**2 - 3*c + 11. Let n(a) = y*i(a) + 2*u(a). Factor n(o).
2*(o - 1)*(o + 2)**2
Let g(s) be the first derivative of -s**7/210 - s**6/18 - 7*s**5/30 - s**4/2 + 5*s**3/3 + 6. Let v(c) be the third derivative of g(c). Factor v(k).
-4*(k + 1)**2*(k + 3)
Let x(o) = 45*o**2 + 1178*o + 238. Let m(y) = 22*y**2 + 588*y + 120. Let u(q) = 18*m(q) - 8*x(q). Factor u(t).
4*(t + 32)*(9*t + 2)
Let i = -41 + 44. Factor -7*b - 97 - 3*b**3 + 19*b + 0*b**3 + 109 - i*b**2.
-3*(b - 2)*(b + 1)*(b + 2)
Solve 10*z**5 + 1125*z**4 + 1705*z - 570 - 135*z**2 - 349*z**2 - 864*z**3 - 71*z**2 - 527*z**3 - 324*z**3 = 0.
-114, -1, 1/2, 1
Let v be (2/(-6))/((-4)/10404). Let i be -3 - v/(-84) - 42/56. Solve -2*d**4 - 8*d + i*d**3 + 16/7 - 12/7*d**2 = 0 for d.
-1, 2/7, 2
Factor 120*b - 3/2*b**4 + 0 + 24*b**3 + 114*b**2.
-3*b*(b - 20)*(b + 2)**2/2
Let q(f) be the second derivative of f**7/6720 - f**6/960 + 2*f**3/3 + 4*f**2 - 93*f. Let j(a) be the second derivative of q(a). Factor j(k).
k**2*(k - 3)/8
What is d in 58/15*d - 2/3*d**3 - 112/15 + 64/15*d**2 = 0?
-8/5, 1, 7
Let w = -628/5 - -128. Suppose 5156*p = 5065*p + 86 + 187. Factor 27/5*x - p*x**2 - w.
-3*(x - 1)*(5*x - 4)/5
Let l be 3 + (-9)/2 + 3. Let j = 40028 + -40004. Determine v so that -l*v + j*v**2 - 3 + 45/2*v**3 = 0.
-1, -2/5, 1/3
Let w = -7 - -7. Suppose -2*u + 7*u = -5*u + 4*u. Factor 0 + 4/11*h**3 + w*h**2 - 2/11*h**5 - 2/11*h + u*h**4.
-2*h*(h - 1)**2*(h + 1)**2/11
Factor -10578*b - 3/2*b**3 + 20172 + 249*b**2.
-3*(b - 82)**2*(b - 2)/2
Suppose -f = -2*i + 13, 5*i + 4*f - 51 = -12. Suppose -3*a + 2*r = -i - 4, -3*r - 6 = -a. Suppose 0*t**a + 0*t - 1/3*t**2 + 1/3*t**4 + 0 = 0. Calculate t.
-1, 0, 1
Let s(p) = 1491*p**2 - 2 + 5 - 5*p**4 + 9*p - 1492*p**2. Let o(v) = 11*v**4 - 2*v**3 + 3*v**2 - 19*v - 7. Let l(q) = 6*o(q) + 14*s(q). Factor l(w).
-4*w*(w - 1)*(w + 1)*(w + 3)
Let p(o) = -28*o**2 + 564*o + 849. Let f(l) = -10*l**2 + 188*l + 278. Let u(x) = -17*f(x) + 6*p(x). Factor u(b).
2*(b + 2)*(b + 92)
Let k(j) = j**3 + 18*j**2 - 24*j - 427. Let i be k(-18). What is l in -181/4*l**3 + 39*l - 37*l**2 - 8 + 45*l**4 + 25/4*l**i = 0?
-8, -1, 2/5, 1
Let k be 70 + 4*(-15)/20 + -4. Let p be k/(-14) + 1 - -5. Find o such that -o**2 - p*o**3 + 0*o**4 + 0 + 1/2*o**5 + 0*o = 0.
-1, 0, 2
Let u(j) be the third derivative of -5*j**8/336 - j**7/6 + 17*j**6/24 + 83*j**5/12 + 115*j**4/6 + 80*j**3/3 - 12*j**2 + 23. What is g in u(g) = 0?
-8, -1, 4
Let o(c) be the third derivative of c**6/60 + 22*c**5/15 + 41*c**4/3 + 160*c**3/3 - 1900*c**2. Factor o(b).
2*(b + 2)**2*(b + 40)
Let w be (-4)/((-4)/(10*4)). Suppose 7*k = 9*k - w. Factor -6 + 11 + 3 - k*f + 16*f**2 - 4*f**3.
-4*(f - 2)*(f - 1)**2
Factor 3*d**3 - 15/4*d**2 - 21/4*d + 3/2.
3*(d - 2)*(d + 1)*(4*d - 1)/4
Factor 2694*d - 1397*d - 2*d**2 - 412469 - 441503 - 1978228 + 3463*d.
-2*(d - 1190)**2
Factor 11*m**3 + 163*m**2 + 343036 + 43*m**3 + 53*m**2 - 582*m - 342721 - 3*m**4.
-3*(m - 21)*(m - 1)**2*(m + 5)
Suppose -53*c + 36 = -41*c. Let 3*w**3 - 3*w**3 + 0*w**c - 2002*w**2 - 2*w**3 + 2008*w**2 - 8 = 0. Calculate w.
-1, 2
Solve 11237859 + 826*n**2 + 443*n**2 + 3*n**3 - 2828196 + 178929*n = 0.
-141
Suppose x = -5*g + 11, 5 = 4*g - x - 2*x. Suppose 119 = -g*a + 135. Factor a*d - 3*d**2 - 8 + 6*d**2 - 7*d**2 + 4.
-4*(d - 1)**2
Let j(s) be the second derivative of 0 - 52*s + 5/3*s**3 + 7/3*s**2 + 1/2*s**4 + 1/30*s**5. Determine n, given that j(n) = 0.
-7, -1
Let o = -299 + 389. Let q be 1/3*o/6. Solve 2*h**3 + 0 + 14/9*h**2 + 2/9*h**q + 10/9*h**4 + 4/9*h = 0 for h.
-2, -1, 0
Let x(c) be the third derivative of 53*c + 0 - 2*c**2 - 1/30*c**6 - 38/5*c**5 - 722*c**4 - 109744/3*c**3. Let x(w) = 0. Calculate w.
-38
Let d(v) be the third derivative of -v**6/240 - 11*v**5/15 + 15*v**4/4 + 3023*v**2. Factor d(l).
-l*(l - 2)*(l + 90)/2
Let m(v) be the first derivative of -v**7/1890 + v**5/540 - 17*v**2 + 2*v - 195. Let q(i) be the second derivative of m(i). Find h, given that q(h) = 0.
-1, 0, 1
Suppose -z + y + 5 = 0, -3*z + 6*y - y = -25. Factor 3*n + z*n**3 + 16*n**2 + n**3 + 2*n**3 - 10*n**2.
3*n*(n + 1)**2
Let a(c) = -c**2 + 176*c - 3775. Let m be a(25). Solve -1/8*q**3 - 9/8*q**2 + 0*q + m = 0 for q.
-9, 0
Let l(j) be the first derivative of 27648/5*j + 1 + 1/10*j**4 + 48/5*j**3 + 1728/5*j**2. Determine q so that l(q) = 0.
-24
Let x(b) be the third derivative of b**6/120 - b**5/12 - 77*b**4/24 + 147*b**3/2 + 329*b**2. Find n, given that x(n) = 0.
-9, 7
Let g(u) be the third derivative of u**6/140 - 277*u**5/140 - 419*u**4/56 - 10*u**3 - 210*u**2 - 3. Find n such that g(n) = 0.
-1, -1/2, 140
Let v = -747 - -865. Factor 60*i + 69*i - 4*i**3 + 8*i**2 + 96 + 69*i - v*i.
-4*(i - 6)*(i + 2)**2
Solve -1221/5*l + 567/5*l**2 + 3/5*l**4 + 726/5 - 15*l**3 = 0.
1, 2, 11
Let w = -183/25 + 554/75. Let g(o) be the third derivative of -w*o**5 + 0*o - o**4 - 14*o**2 + 0 + 0*o**3. Factor g(f).
-4*f*(f + 6)
Let a(h) = 6*h**2 + 2*h - 14. Let y(j) = -9 - j**2 + 15 - j - 6. Let g(z) = 2*a(z) - 6*y(z). Factor g(o).
2*(o - 1)*(9*o + 14)
Let j be 263 - 256 - 5/1. Let 2/7*z**j + 0 + 0*z = 0. What is z?
0
Let s = 2253091/3379641 + 1/1126547. Find o, given that 80/3*o + 0 + s*o**2 = 0.
-40, 0
Let n(l) = -624*l + 120. Let w be n(2). Let b = 3404/3 + w. Factor 0 + 5/3*j**4 - 10/3*j + 25/3*j**2 - b*j**3.
5*j*(j - 2)*(j - 1)**2/3
Suppose -5*d + 413 = -4*s, s = -2*s + d - 307. Let u = s + 114. Factor 4*z**4 + 7*z + 0*z + 5*z - u*z**3 + 4*z.
4*z*(z - 2)**2*(z + 1)
Let w(d) be the third derivative of d**7/1050 - 29*d**6/600 + 23*d**5/300 + 137*d**4/120 + 14*d**3/5 + 2412*d**2. Determine l so that w(l) = 0.
-1, 3, 28
Let m(z) = -5*z**3 + 266*z**2 + 263*z - 518. Let i(g) = 45*g**3 - 2395*g**2 - 2365*g + 4660. Let l(y) = 6*i(y) + 55*m(y). Factor l(b).
-5*(b - 53)*(b - 1)*(b + 2)
Let q(t) = -t**3 + 19*t**2 + 43*t - 17. Let f be q(21). Suppose 15*l**5 + 395*l**2 - 45*l**3 - 347*l**2 - l**f - 5*l**4 - 12*l = 0. Calculate l.
-2, 0, 2/5, 1
Determine d, given that -54/7*d + 678/7*d**2 - 146/7*d**3 - 486/7 + 8/7*d**4 = 0.
-3/4, 1, 9
Let u(h) = -38*h**2 + 3*h + 35. Let q(x) = 158*x**2 - 10*x - 140. Let o(l) = 2*l**2. Let g(d) = 4*o(d) - q(d). Let a(v) = -4*g(v) + 15*u(v). Factor a(c).
5*(c - 1)*(6*c + 7)
Let j(i) = i**2 + 106*i - 668. Let r be j(6). Factor 0 - 24/5*t + 6/5*t**3 + 8/5*t**2 - 2/5*t**r.
-2*t*(t - 3)*(t - 2)*(t + 2)/5
Let l(d) = 65*d**3 - 220*d**2 - 2860*d + 6480. Let u(a) = -5*a**3