3 + 81*k**2/2 - 9*k - 1. Let s(x) be the first derivative of q(x). Factor s(w).
3*(w - 1)*(w + 2)
Suppose -17*v + 3*v = -11774. Suppose v = 13*n + 607. Factor n*j**2 + 384 + 3/4*j**3 + 144*j.
3*(j + 8)**3/4
Let l(y) = y**2 - y - 12208. Let v be l(111). Factor -32/5 - 38/5*w**v + 76/5*w - 6/5*w**3.
-2*(w - 1)*(w + 8)*(3*w - 2)/5
Let u = 25121/385 + 335/77. What is n in u*n + 10092/5 + 3/5*n**2 = 0?
-58
Suppose -20*d = -27*d + x + 25, -2*d = -2*x - 26. Suppose -158/7*f**d - 10/7*f**4 + 0 - 44/7*f - 124/7*f**3 = 0. Calculate f.
-11, -1, -2/5, 0
Let y(v) be the second derivative of v**6/200 + 3*v**5/10 + 45*v**4/8 + 67*v**2/2 + v + 8. Let t(p) be the first derivative of y(p). Factor t(k).
3*k*(k + 15)**2/5
Factor 0 - 220/3*k**2 - 5*k**4 + 40/3*k - 235/6*k**3.
-5*k*(k + 4)**2*(6*k - 1)/6
Let s(y) be the third derivative of y**6/60 - 43*y**5/150 - 289*y**4/30 - 224*y**3/15 + 33*y**2 - y - 100. Factor s(q).
2*(q - 16)*(q + 7)*(5*q + 2)/5
Solve 11/5 - 57/10*k + 7/10*k**3 - 36/5*k**2 = 0.
-1, 2/7, 11
Let d(s) = s**2 + 3*s + 5. Let p be d(-2). Suppose 10*r - 17 = p. Let -22*g**2 - 80*g**3 + 10*g**r - 35*g**4 - 5*g**5 - 48*g**2 = 0. Calculate g.
-3, -2, 0
Let t(k) be the third derivative of k**6/240 + 17*k**5/60 + 265*k**4/48 + 50*k**3 + 2*k**2 + 539. Let t(j) = 0. Calculate j.
-24, -5
Let k be -2760 + 2787 - (2 - -21). Determine y, given that -16/7*y**4 - 80/7*y**2 + 0 + 124/7*y**3 - k*y = 0.
-1/4, 0, 1, 7
Let g be ((-2)/(-5) - 33/(-55)) + 2. Let x(f) be the first derivative of -14/27*f**g + 21 + 8/9*f + 4/3*f**2. Factor x(j).
-2*(j - 2)*(7*j + 2)/9
Let c(a) be the second derivative of -228*a + 2 - 90*a**3 + 12150*a**2 + 1/4*a**4. Find p, given that c(p) = 0.
90
Let t = 45 - -29. Let o = -72 + t. Factor 4*r**o - 3*r**2 + 2*r + 3*r**2 - 6*r**2.
-2*r*(r - 1)
Let j(w) be the third derivative of -7/120*w**5 + 7*w - 8*w**2 + 1/80*w**6 - 1/1344*w**8 - 1/8*w**3 + 1/840*w**7 + 11/96*w**4 + 0. Let j(f) = 0. Calculate f.
-3, 1
Let l(c) = -c - 1. Let d(y) = -10*y + 8. Let j(v) = -d(v) + 6*l(v). Let x be j(4). Factor 19*u + 12 - 7*u**x - 2*u**3 - 5*u**2 + 10*u**3 - 27*u.
4*(u - 1)*(u + 1)*(2*u - 3)
Let a = 372510/7 + -53010. Factor -768/7 + 6/7*g**3 + a*g + 27*g**2.
3*(g + 16)**2*(2*g - 1)/7
Let y(n) be the first derivative of -n**5 - 1065*n**4/4 + 1075*n**3 - 3235*n**2/2 + 1080*n - 736. Factor y(m).
-5*(m - 1)**3*(m + 216)
Let a = -84 + 83. Let b be (-2)/(-4)*(a + 4 + 1). Factor b*z**3 - 307*z - 3*z**2 + 6 + 151*z + 151*z.
(z - 2)*(z - 1)*(2*z + 3)
Let i(f) = 4*f**5 - 456*f**4 + 448*f**3 + 4*f + 4. Let k(u) = -8*u**5 + 911*u**4 - 896*u**3 - 7*u - 7. Let g(m) = 7*i(m) + 4*k(m). Factor g(a).
-4*a**3*(a - 112)*(a - 1)
Let n = 596 + -591. Factor 491*z + 31*z**4 - 476*z + n*z**5 + 25*z**2 + 20*z**2 - z**4 + 60*z**3 + 5*z**2.
5*z*(z + 1)**3*(z + 3)
Suppose -5*t = 3*w - 15, 3*w - t - 15 = -3*t. Solve -11*q**3 + 10*q - 7 + 6*q**3 + 6 - 9 + w*q = 0 for q.
-2, 1
Suppose 0 = -2*w - 3*o + 21, 4934*w = 4932*w + 4*o - 28. Factor 0*g + 3*g**2 - 3/4*g**4 + 9/4*g**3 + w.
-3*g**2*(g - 4)*(g + 1)/4
Suppose 50*n - 46*n = -2*a - 156, 5*a + 190 = -5*n. Let t be ((-18)/63)/(n/35). Factor 0 - 2*l**2 + t*l**4 - 1/4*l**3 + 3*l.
l*(l - 2)**2*(l + 3)/4
Let d(o) be the second derivative of 4*o**7/63 + 19*o**6/45 + 9*o**5/10 + 4*o**4/9 - 4*o**3/9 - 48*o - 22. Determine r, given that d(r) = 0.
-2, -1, 0, 1/4
Let t(d) = -1225*d - 56347. Let r be t(-46). Suppose 20/3*o - 5/3*o**2 + 20/3 - 5/3*o**r = 0. Calculate o.
-2, -1, 2
Let m(a) = 14*a + 59. Let q be m(0). Factor 55*y**3 - 33*y + q*y**3 + 61*y**3 - 173*y**3 + 7*y + 24*y**2.
2*y*(y - 1)*(y + 13)
Let v(d) = -d**3 + 11*d**2 + 20*d - 91. Let x be v(12). Let n(o) = 3*o - 3. Let b be n(2). Determine u so that 5*u - x + 8 - b + u**2 - 6 = 0.
-6, 1
Suppose -2*c - 96 = 22*c. Let a be c/6 - (-14)/12. Factor 2*v**2 + 0*v + a*v**4 - 2*v**3 + 0.
v**2*(v - 2)**2/2
Let a(l) be the third derivative of -l**5/300 - 19*l**4/60 + 8*l**3/3 + 144*l**2 + 2*l. Factor a(u).
-(u - 2)*(u + 40)/5
Let d = 2897 + -2884. Let w(o) be the second derivative of 3/16*o**2 + d*o - 3/80*o**5 + 0*o**4 + 0 - 1/80*o**6 + 1/8*o**3. Determine m, given that w(m) = 0.
-1, 1
Let t(c) be the third derivative of 0*c - 1/3*c**3 + 3*c**2 + 1/40*c**5 + 1/12*c**4 - 1/120*c**6 + 6 - 1/420*c**7. Suppose t(u) = 0. What is u?
-2, 1
Let t(z) = -38*z + 1487. Let u be t(39). Let b(y) be the first derivative of -1/7*y**3 + 1/7*y + 5/28*y**4 - 2/35*y**u - 10 - 1/14*y**2. Factor b(f).
-(f - 1)**3*(2*f + 1)/7
Let x = -1429691/13 + 110251. Let w = x - 274. Factor w + 12/13*j + 2/13*j**2.
2*(j + 1)*(j + 5)/13
Suppose -6 = -4*l + 7*l - 4*m, 5*m - 17 = -l. Suppose 7*d - 324 = -l*d. Suppose 24*o + 16/3 + 18*o**3 + d*o**2 = 0. What is o?
-2/3
Let j(o) be the third derivative of -o**5/15 - 61*o**4/6 - 40*o**3 + 3483*o**2. Factor j(m).
-4*(m + 1)*(m + 60)
Let a(z) = -z**3 + 20*z**2 + 248*z - 5070. Let c be a(19). Determine i so that -3/2*i + 0 - 2*i**2 - 1/2*i**c = 0.
-3, -1, 0
Suppose -2*r - x = 2*x - 20, 0 = -3*r + 3*x. Determine l, given that 16*l**r - l**3 + 4*l**3 + 0*l**3 + 2*l**2 - 15*l**4 = 0.
-2, -1, 0
Let s(r) be the third derivative of -r**7/21 - 13*r**6/15 - 14*r**5/3 - 4*r**4 - 2*r**2 - 602*r + 3. Find z, given that s(z) = 0.
-6, -4, -2/5, 0
Let o(b) be the third derivative of -b**5/60 + 7*b**4/3 + 19*b**3/2 + b**2 + 138. Factor o(i).
-(i - 57)*(i + 1)
Factor -153/5*z**2 - 132651/5 - 1/5*z**3 - 7803/5*z.
-(z + 51)**3/5
Factor -1/11*b + 1/11*b**3 + 1/11*b**2 + 0 - 1/11*b**4.
-b*(b - 1)**2*(b + 1)/11
Let r be 1718/(-4) + (-14)/672*8. Let v = r + 431. Solve 0 + 1/3*j**3 + v*j**2 + j = 0.
-3, -1, 0
Suppose 632 = -1631961*i + 1632087*i - 124. Suppose -i - 16/5*h - 2/5*h**2 = 0. Calculate h.
-5, -3
Factor -1575/4 - 3/4*x**2 - 267/2*x.
-3*(x + 3)*(x + 175)/4
Suppose -3*x - 42 = 0, 89*m - 90*m + 3*x + 31 = -13. Solve -10/11*b**m + 0 + 2/11*b**3 + 8/11*b = 0.
0, 1, 4
Let a(p) = p**3 - 49*p**2 + 233*p - 61. Let v be a(5). Determine d, given that 0 - 6/5*d**3 + 12/5*d**2 + 16/5*d - 2/5*d**v = 0.
-4, -1, 0, 2
Let h(v) be the third derivative of 20*v**2 - 2*v + 0*v**3 - 1/60*v**5 - 1/72*v**4 + 2/315*v**7 + 0 + 0*v**6. Suppose h(u) = 0. Calculate u.
-1/2, 0, 1
Let k(v) be the first derivative of 26*v**3/21 + 106*v**2/7 + 32*v/7 + 1476. Determine u, given that k(u) = 0.
-8, -2/13
Let 4/7*p**2 + 0 - 436/7*p = 0. What is p?
0, 109
Let g(s) be the first derivative of -20/3*s**3 + 12/5*s**5 - 52 + 0*s**2 + 14*s**4 + 0*s. Let g(t) = 0. Calculate t.
-5, 0, 1/3
Suppose 143*t = 138*t + 20. Suppose g = t*g - 15. Factor h**3 - 119 - 26*h**4 - 31*h**3 + 119 - 8*h**g - 14*h**2 - 2*h.
-2*h*(h + 1)**3*(4*h + 1)
Let a(d) = d**4 + 8*d**3 - 3*d**2. Let r(j) = j**4 + 16*j**3 - 7*j**2. Suppose 4*b = 4*i - b - 2, -i - 4*b = -11. Let w(k) = i*r(k) - 7*a(k). Factor w(l).
-4*l**3*(l + 2)
Let j(s) = -2*s**2 + 18*s - 17. Let d be j(6). Solve -132*g + 16*g**2 + 14 + 19*g**2 - d - 51*g**2 - 27 = 0.
-8, -1/4
Let z(q) = 7*q**2 - 16671*q - 11526210. Let k(y) = y**2 - 2778*y - 1921032. Let w(o) = 39*k(o) - 6*z(o). Factor w(x).
-3*(x + 1386)**2
Determine c so that -358*c + 379*c**4 + 87*c + 5*c**5 - 10*c**3 - 74*c**4 - 610*c**2 + 305 + 136*c + 140*c = 0.
-61, -1, 1
Let r(y) be the first derivative of -27/2*y - 1/18*y**3 - 3/2*y**2 - 47. Factor r(h).
-(h + 9)**2/6
Solve 2/13*j**4 - 1314/13*j - 1310/13*j**3 - 202*j**2 + 0 = 0.
-1, 0, 657
Suppose -5*b + 260 = -4*m, 11*m - 8*m + 3*b = -168. Let p be 153/(-765)*m/22. Let -p*f**5 + 0 - 10/11*f + 52/11*f**2 + 4*f**4 - 80/11*f**3 = 0. What is f?
0, 1/3, 1, 5
Find m such that -362 - 303*m**2 + 81 - 57*m**3 - 431*m + 95 + m**4 = 0.
-3, -1, 62
Let n(k) be the first derivative of 2*k**6/21 + 8*k**5/35 - 4*k**4/7 - 8*k**3/21 + 6*k**2/7 - 1279. Find g, given that n(g) = 0.
-3, -1, 0, 1
Let w(k) be the second derivative of k**6/135 + 2*k**5/5 + 74*k**4/27 - 352*k**3/3 + 7744*k**2/9 + 5*k - 84. Factor w(x).
2*(x - 4)**2*(x + 22)**2/9
Let c = -276013/6138 - -809/18. Let v = 317/1023 - c. Factor 2*x + 8/3 + v*x**2.
(x + 2)*(x + 4)/3
Let j be (6/(-8) + (-39)/(-104))*(-232)/348. Let -1/2*g + 0 + j*g**3 + 1/4*g**2 = 0. Calculate g.
-2, 0, 1
Let k(n) be the first derivative of 2*n**4 - 292*n**3/3 - 226*n**2 - 152*n - 4679. Factor k(u).
4*(u - 38)*(u + 1)*(2*u + 1)
Let k(b) = -3*b**4 - 97*b**3 - 483*b**2 - 221*b