8 + -1/18467. Let i(p) be the second derivative of 35/4*p**2 + 0 - x*p**4 + 5/2*p**3 - 11*p. Factor i(c).
-5*(c - 7)*(c + 1)/2
Let h(a) be the third derivative of 0*a - 37*a**2 + 13/28*a**4 + 169/14*a**3 + 1/140*a**5 + 0. Solve h(w) = 0 for w.
-13
Let g(z) be the first derivative of 44 - 3*z**4 + 17/3*z**3 + 4/5*z**5 + 3*z - 1/12*z**6 - 23/4*z**2. Suppose g(l) = 0. What is l?
1, 2, 3
Let c(d) = d**2 + d + 1. Suppose 14 = 3*j + h, -13*j + h = -17*j + 20. Let g(y) = -y**2 + 78*y + 1598. Let t(m) = j*c(m) + 3*g(m). Factor t(i).
3*(i + 40)**2
Let r(h) be the second derivative of -169/7*h**2 + 0 - 661/7*h**4 + 64/7*h**5 + 94*h - 5/21*h**6 - 1664/21*h**3. Determine y so that r(y) = 0.
-1/5, 13
Let y(g) be the third derivative of 1/60*g**4 + 1/30*g**3 + 1/300*g**5 + 0*g + 0 - 103*g**2. Suppose y(u) = 0. Calculate u.
-1
Let p be 579/(-12) + 0 - 1/(-4). Let x = p - -50. Suppose 0*l**2 + 0 - 2*l**4 + 0 + x*l**2 = 0. Calculate l.
-1, 0, 1
Let v(r) be the first derivative of 2*r**6/3 + 64*r**5/5 + 29*r**4 + 56*r**3/3 + 1781. Find n such that v(n) = 0.
-14, -1, 0
Let i(s) = 16*s**2 + 127*s - 5. Let b be (3/6)/(2/(-32)). Let d be i(b). Let -1/7*p**2 + 0 + 2/7*p - 1/7*p**d = 0. What is p?
-2, 0, 1
Factor 480*j + 483 + 471/4*j**2 - 3/4*j**3.
-3*(j - 161)*(j + 2)**2/4
Suppose 5*r - 2*r + 4*y - 7 = 0, 0 = 2*r + 5*y + 7. Solve -8*n**4 + 31*n**2 + r*n**2 + 28*n - 8*n**2 + 8 + 8*n**3 - 4*n**5 = 0 for n.
-1, 2
Let p(x) be the third derivative of 8/7*x**3 + 1/140*x**5 + 82*x + 17/56*x**4 - x**2 + 0. Solve p(s) = 0.
-16, -1
Factor -520 - 317 + 112 + 2*n**2 - 885 - 312*n.
2*(n - 161)*(n + 5)
Let x = 89483/4 + -22370. Factor x*q + 0 - 1/4*q**2.
-q*(q - 3)/4
Factor 6*q**3 - 2*q**2 - 12*q - 6*q**2 + 10 + 3*q**4 + 2*q**4 - 7*q**4 + 6*q**3.
-2*(q - 5)*(q - 1)**2*(q + 1)
Let f(u) = -2*u**3 - 39*u**2 + 37*u + 314. Let q(p) = p**3 + 39*p**2 - 38*p - 304. Let k(s) = 4*f(s) + 5*q(s). Find c such that k(c) = 0.
-2, 4, 11
Suppose 0 = -3*b + 53 - 11. Suppose 13*r + 5 = b*r. Factor 6/7*d**3 - 3/7*d - 3/7*d**r + 0*d**4 + 0*d**2 + 0.
-3*d*(d - 1)**2*(d + 1)**2/7
Let k be (-3 - 1)*(21/(-2) + 10). Let u(f) be the third derivative of 1/30*f**3 - 1/300*f**5 + 24*f**k + 0 - 1/600*f**6 + 1/120*f**4 + 0*f. Factor u(a).
-(a - 1)*(a + 1)**2/5
Factor -262/7*z + 2/7*z**2 - 804/7.
2*(z - 134)*(z + 3)/7
Let i(h) be the third derivative of 23*h**7/70 - 17*h**6/5 - 3*h**5/5 + 3014*h**2 - h. Find t, given that i(t) = 0.
-2/23, 0, 6
Suppose 286*d**3 - 137*d**3 - 16*d**2 - 118*d - 16*d**2 + 120 + 26*d - 145*d**3 = 0. Calculate d.
-3, 1, 10
Let l(d) be the third derivative of 0 - 1/96*d**4 + d + 0*d**3 + 1/240*d**5 + 1/480*d**6 - 26*d**2 - 1/840*d**7. Factor l(a).
-a*(a - 1)**2*(a + 1)/4
Suppose -o + 4 = 0, 198 - 996 = -3*x + 3*o. Suppose 0 = 265*w - x*w. Determine q, given that 18/7*q**3 + 2/7*q + 12/7*q**2 + w = 0.
-1/3, 0
Suppose -76 = 176*q - 99*q - 115*q. Solve -8/5 + 2/5*l**q + 6/5*l = 0.
-4, 1
Let s be (-10)/6*-1 - 7*(-73)/(-511). Factor -2*a**5 + 0 + 0*a**2 + s*a**3 - 4/3*a**4 + 0*a.
-2*a**3*(a + 1)*(3*a - 1)/3
Let m be (1 - 0) + 10/5. Suppose -3*h - 33 = -5*i + h, -m*i + 5*h + 25 = 0. Solve -25*t - 8*t**2 + 1 + i - 26 + 3*t**2 = 0.
-4, -1
Factor -1700*f - 1492*f + 121*f**3 + 29*f**3 + 5776 - 261*f**2 - 2*f**4 - 2063*f**2 - 408*f**2.
-2*(f - 38)**2*(f - 1)*(f + 2)
Let c be (-12)/6 - (-2 + 3). Let a be 0 - (c - 58/(-20)). Factor 1/10*v**3 + 0 - 1/10*v + a*v**4 - 1/10*v**2.
v*(v - 1)*(v + 1)**2/10
Let z = 19 + -10. Suppose 2*h - z*h = -5103. Factor 20*x**2 - 280*x - h - x**3 + 37*x - 47*x**2.
-(x + 9)**3
Suppose -3 = -q + 3*y + 3, 2*q + 4*y - 42 = 0. Determine m, given that -27*m**4 - 8*m**3 - q*m**4 + 4*m**2 + 30*m**4 = 0.
-1, 0, 1/3
Let x(h) be the first derivative of h**6/3 - 6*h**5/5 - h**4 + 8*h**3 - 8*h**2 + 1062. Factor x(l).
2*l*(l - 2)**2*(l - 1)*(l + 2)
Let c = 78916/5 + -15783. Factor 1 - c*j**4 - 6/5*j**3 + 6/5*j - 4/5*j**2.
-(j - 1)*(j + 1)**2*(j + 5)/5
Factor 311405*l**2 - 2700 + 0*l**4 + 62*l**3 + 2*l**4 - 310907*l**2 + 90*l.
2*(l - 2)*(l + 3)*(l + 15)**2
Suppose 74918*h**2 - 57378*h**2 - 179356 - 1181925*h - 65*h**3 - 2894 = 0. Calculate h.
-2/13, 135
Let w(y) be the third derivative of 2/39*y**3 + 4*y**2 - 2 + 0*y + 1/390*y**5 - 1/52*y**4. Suppose w(v) = 0. Calculate v.
1, 2
Let 184041/2*y - 1287/4*y**2 - 8772621 + 3/8*y**3 = 0. Calculate y.
286
Let o be 112/(-24)*-4 - (-10 + 2). Factor 40/3*j**3 - 25/3 - 30*j**2 - 5/3*j**4 + o*j.
-5*(j - 5)*(j - 1)**3/3
What is m in 631*m - 2*m**2 + 1009*m + 6073 - 342273 = 0?
410
Let k(d) = 9*d**2 - d + 1. Let v(m) = 30*m**3 - 3281*m**2 + 2783*m + 423. Let w(c) = 10*k(c) + 2*v(c). Factor w(q).
4*(q - 107)*(q - 1)*(15*q + 2)
Let o(z) be the third derivative of z**5/510 - 65*z**4/102 - 225*z**3/17 - 36*z**2 - 32. Factor o(b).
2*(b - 135)*(b + 5)/17
Let p be 2 - 1 - (64 - 69). Solve 0*j**2 + 7*j**2 + 8 - p*j**2 - 2*j**2 + 5*j + 16 = 0.
-3, 8
Let k(j) be the third derivative of j**6/24 + 121*j**5/6 + 17995*j**4/6 - 74420*j**3/3 - 2*j**2 + 72. Factor k(c).
5*(c - 2)*(c + 122)**2
Let k(y) be the second derivative of -2*y**6/15 - 111*y**5/5 - 3022*y**4/3 + 2240*y**3 + 12544*y**2 + 10300*y. Factor k(o).
-4*(o - 2)*(o + 1)*(o + 56)**2
Factor 452 - 252 - 182 + 172*k**2 + 4*k - 190 - 4*k**3.
-4*(k - 43)*(k - 1)*(k + 1)
Let j(g) = -9*g**4 - 245*g**3 - 238*g**2 + 18677*g - 18229. Let q(b) = -3*b**4 - 82*b**3 - 80*b**2 + 6226*b - 6077. Let d(a) = 4*j(a) - 11*q(a). Factor d(w).
-3*(w - 7)*(w - 1)*(w + 17)**2
Let d = -83 + 85. Solve -d*i**2 + 9*i**2 + 4*i**3 - 16 + 9*i**2 - 3*i**4 - i**5 = 0 for i.
-2, 1, 2
Let d(b) be the first derivative of -2/27*b**3 + 0*b - 38 - 1/9*b**2 + 1/18*b**4 + 2/45*b**5. Suppose d(r) = 0. What is r?
-1, 0, 1
Let n(s) be the first derivative of -75/16*s**4 - 26 + 3/2*s**5 - 1/8*s**6 + 0*s + 0*s**3 + 0*s**2. Factor n(z).
-3*z**3*(z - 5)**2/4
Let u(d) = -d**2 - 7*d. Let t be 5/(20/(-16))*-2. Let b(q) = -42*q + t - 6*q**2 - 8 - 6*q. Let p(i) = -2*b(i) + 15*u(i). Factor p(x).
-3*x*(x + 3)
Let d(v) be the second derivative of v**5/20 - 13*v**4/12 + v**3/6 - 4*v**2 + 10*v. Let a be d(13). Factor 37 + a*k**2 - 34*k + 3 - 11*k.
5*(k - 8)*(k - 1)
Let v(u) be the second derivative of u**4/4 - 1592*u**3 + 3801696*u**2 + 170*u + 14. Determine m, given that v(m) = 0.
1592
Let r(d) be the first derivative of -4/5*d**3 + 280 + 9/10*d**2 + 3/20*d**4 + 0*d. Factor r(b).
3*b*(b - 3)*(b - 1)/5
Let q(r) be the second derivative of r**5/5 - 14*r**4/3 + 26*r**3 + 108*r**2 + 28*r - 21. Suppose q(k) = 0. What is k?
-1, 6, 9
Let u(n) be the third derivative of -31*n**5/220 - 4001*n**4/264 - 43*n**3/33 - n**2 + 19*n - 21. Factor u(j).
-(j + 43)*(93*j + 2)/11
Let r be (-758)/(-2653)*(-1 + 8). Let f = 82 - 408/5. Find j, given that 2/5*j**r + 4/5*j + f = 0.
-1
Let p(b) be the third derivative of 9*b**8/140 + 197*b**7/840 - b**6/9 - b**5/30 + 29*b**3 - 25*b**2. Let w(y) be the first derivative of p(y). Factor w(d).
d*(d + 2)*(4*d - 1)*(27*d + 2)
Let r(v) be the first derivative of -2*v**5/45 + 26*v**4/9 + 92*v**3/9 - 21164*v**2/9 - 331298*v/9 - 240. Factor r(j).
-2*(j - 37)**2*(j + 11)**2/9
Factor -6024*j**2 + 39*j**3 - 61*j**3 + 6048096*j - 2024096128 + 24*j**3.
2*(j - 1004)**3
Let h(i) be the first derivative of -79 + 20/13*i**2 - 2/39*i**3 + 88/13*i. Factor h(g).
-2*(g - 22)*(g + 2)/13
Factor -1648/13*v + 2/13*v**2 + 339488/13.
2*(v - 412)**2/13
Let t(r) = -5*r**3 - 9*r**2 - 10*r + 2. Let x(w) = -6*w**3 - 9*w**2 - 12*w + 3. Suppose -8 = 123*s - 127*s. Let b(n) = s*x(n) - 3*t(n). Factor b(p).
3*p*(p + 1)*(p + 2)
Solve 10/11 - 8/11*v**3 + 8/11*v + 2/11*v**4 - 12/11*v**2 = 0 for v.
-1, 1, 5
Let f(d) = 249*d + 752. Let t be f(-3). Let r(m) be the second derivative of 0 - 6*m - 8/15*m**3 - 1/50*m**t + 4/5*m**2 + 1/6*m**4. Factor r(x).
-2*(x - 2)**2*(x - 1)/5
Let q(o) be the first derivative of o**6/36 + o**5/10 - o**4/8 - 7*o**3/18 + o**2/2 + 57. Let q(n) = 0. What is n?
-3, -2, 0, 1
Let d(k) = 2*k**2 - 7*k - 6 + 23*k**3 - 24*k**3 + 7*k**2. Let f be d(8). Find r, given that -2*r**3 - 16*r + r**3 + 3*r**f + 16*r = 0.
0, 3
Let s(d) be the second derivative of -d**6/15 - 6*d**5 + 41*d**4/2 - 62*d**3/3 + 86*d - 9. Factor s(v).
-2*v*(v - 1)**2*(v + 62)
Let x(w) = -18*w**3 - 829*w**2 - 20805*w + 21622. Let r(v) = -44*v**3 - 2072*v**2 - 52012*v + 54056. Let j(g) = 