9563/42 + 723485. Let f = l - -457/6. Find q such that 8/7*q - f*q**2 - 16/7 = 0.
4
Suppose 40*g = 38*g - 8. Let d(f) = 6*f**4 + 18*f**3 + 3*f**2 - 15*f. Let o(x) = -5*x**4 - 17*x**3 - 4*x**2 + 16*x. Let z(r) = g*d(r) - 3*o(r). Solve z(c) = 0.
-2, -1, 0, 2/3
Let i be (49 + -103 + 50)*(-4)/8*(-82)/(-36). Solve 10/3 + 7/9*o**2 - i*o = 0.
6/7, 5
Suppose -68 = 189*m - 364*m + 141*m. Factor 0*j**m - 1/4*j**3 + 0 + j.
-j*(j - 2)*(j + 2)/4
Suppose -29 = -t + 10. Suppose -10*c = -t - 1. Factor 36*p**c - 69*p + 69*p + 12*p**2 + 27*p**4 + 147*p**5 - 72*p**3.
3*p**2*(p + 1)*(7*p - 2)**2
Determine f so that -1/2*f**2 + 2/3*f + 2/3 - 2/3*f**3 - 1/6*f**4 = 0.
-2, -1, 1
Factor 25527*s**2 - 51146*s**2 + 562*s + 26*s**3 + 25071*s**2 - 40.
2*(s - 20)*(s - 1)*(13*s - 1)
Let p(s) be the third derivative of 2*s**7/105 - s**6/15 - 7*s**5/5 - 3*s**4 - 2124*s**2. Factor p(f).
4*f*(f - 6)*(f + 1)*(f + 3)
Let a = 8251129/5 + -1650217. Factor 2/5*r**2 + 16 - a*r.
2*(r - 20)*(r - 2)/5
Let d(x) = 8867*x - 17734. Let z be d(2). Solve -1/7*i**5 + 6/7*i**4 + 9/7*i + z - 8/7*i**3 - 6/7*i**2 = 0.
-1, 0, 1, 3
Let h(x) be the third derivative of 0 + 47/2*x**3 + 6*x**4 + x**2 + 1/20*x**5 - 12*x. Factor h(g).
3*(g + 1)*(g + 47)
Let y = -2424 - -2424. Let c(t) be the third derivative of 0*t**3 - 1/270*t**5 - 10*t**2 + 0 + y*t + 0*t**4. Factor c(v).
-2*v**2/9
Let w(h) be the first derivative of -h**4/16 + 573*h**3/4 - 984987*h**2/8 + 188132517*h/4 + 374. Suppose w(o) = 0. What is o?
573
Let b(a) = -a + 1. Let u be b(-1). Suppose 0 = -u*x - 2 + 6. Find o such that -4/3 + 2/3*o + 2/3*o**x = 0.
-2, 1
Let d be 1437/(-7) - -5*14/(-35). Let x = -207 - d. Factor 0*f - 2/7 + x*f**2.
2*(f - 1)*(f + 1)/7
Let k(l) be the first derivative of 2*l**3/9 + l**2 + 4*l/3 + 5957. Factor k(b).
2*(b + 1)*(b + 2)/3
Suppose 2*i - 4*j = -40, -36 = -124*i + 121*i - 2*j. Solve -4/3*q**5 + 4/3*q**3 - 20/3*q**2 + 20/3*q**i + 0 + 0*q = 0.
-1, 0, 1, 5
Suppose y - n = n + 22, -2*y - 4*n = -36. Let f = 25 - y. Determine q so that 4 - 2*q**3 + q**4 + 2*q - 10 + f = 0.
-1, 1
Suppose 0 = -63*j + 460 + 1115. Suppose -j*o = -2*o - 69. Find s, given that 2*s**o - 20/19 + 106/19*s - 138/19*s**2 + 14/19*s**4 = 0.
-5, 2/7, 1
Let z(u) be the first derivative of 5*u**4/4 + 580*u**3/3 - 5*u**2/2 - 580*u - 2859. Let z(n) = 0. What is n?
-116, -1, 1
Let p = 5 - -21. Suppose -3*t - 9 = -5*w - p, -w = 2*t - 33. Let -t - 2*y**2 + 5*y**2 + 2 = 0. Calculate y.
-2, 2
Let b(f) be the first derivative of 50/27*f**3 - 11/18*f**4 + 0*f - 2/45*f**5 - 13/9*f**2 + 1. Factor b(i).
-2*i*(i - 1)**2*(i + 13)/9
Factor 2820 + 1546*h - 176*h**2 + 75*h**2 - 11406*h + 66*h**2.
-5*(h + 282)*(7*h - 2)
Let g(t) be the second derivative of t**5/10 + 73*t**4/6 - 149*t**3/3 + 75*t**2 - t - 395. Factor g(f).
2*(f - 1)**2*(f + 75)
Let k(a) be the first derivative of a**3/12 + 51*a**2/8 - 81*a/2 + 2897. Factor k(i).
(i - 3)*(i + 54)/4
Let b be (-63)/14*5/(-30)*3/36. Let i(v) be the third derivative of 0*v**3 - 1/80*v**6 + b*v**4 + 0*v**5 + 0 + 17*v**2 + 0*v. Factor i(c).
-3*c*(c - 1)*(c + 1)/2
Let t be 2/16 - (-165)/88. Suppose 0 = -3*f + 3*i + 12, 15*f - 2*i - 10 = 12*f. Factor 10*g**3 - 4*g**2 + 5*g**4 + 4*g**f + 5*g**t.
5*g**2*(g + 1)**2
Suppose -113*b + 82 + 257 = 0. Let q(p) be the second derivative of 0*p**2 + 3/8*p**4 + 0 - 3/40*p**5 - 13*p + 0*p**b. Suppose q(d) = 0. Calculate d.
0, 3
Find v, given that -1458 - 18*v**4 + 243/5*v - 54/5*v**3 + 3/5*v**5 + 324*v**2 = 0.
-3, 3, 30
Let f(j) be the first derivative of -j**5/60 + 5*j**4/24 - 2*j**3/3 + 11*j**2 - 88. Let a(y) be the second derivative of f(y). Factor a(u).
-(u - 4)*(u - 1)
Let f(t) be the second derivative of 22*t + 0 + 1/2*t**2 - 17/18*t**3 - 1/6*t**4. What is d in f(d) = 0?
-3, 1/6
Let x be 3 - -1 - (-1 + -3). Let m be -2*((-1 - 12/x) + 0). Determine v so that 15*v - 19*v**4 + 6*v**2 - 8*v**m + 7*v**4 + 6 - 12*v**3 + 5*v**5 = 0.
-2, -1, 1
Determine u, given that -9*u**3 + 133*u - 33*u**4 - 172*u**2 + 34*u**4 + 47*u = 0.
-10, 0, 1, 18
Let b = -139569/455 - 9/1820. Let j = b - -307. Factor -1/4*s**3 + 0 + 1/2*s + j*s**2.
-s*(s - 2)*(s + 1)/4
Factor 573*x + 4839236 - 690308 - 168*x + 6651*x + 3*x**2.
3*(x + 1176)**2
Suppose 3*f - 2 = 13. Let j(s) = 1. Let y(v) = -5*v**2 - 15*v + 25. Let c(k) = f*j(k) - y(k). Factor c(m).
5*(m - 1)*(m + 4)
Let w(q) be the second derivative of q**5/80 + 5*q**4/16 - 7*q**3 - 637*q**2/2 + 19*q + 8. Factor w(x).
(x - 13)*(x + 14)**2/4
Let w be 4*4/((-16)/69). Let y = w - -73. Factor 2*f - 3*f**2 + 8*f - y*f.
-3*f*(f - 2)
Let p(i) be the first derivative of -i**4/4 - i**3/3 + i**2/2 + i + 15. Let f(s) = 12*s**2 - 16*s + 4. Let g(c) = f(c) - 4*p(c). Factor g(r).
4*r*(r - 1)*(r + 5)
Factor -11*w + 46*w + 0*w - 8*w - 140 - 19*w + 4*w**2.
4*(w - 5)*(w + 7)
Suppose -3*a - 5*a = -2*l + 80, -3*a - 30 = -4*l. Factor 4/5*b**2 + 92/5*b + l.
4*b*(b + 23)/5
Let t = 1679 - 1679. Let h(u) be the third derivative of 1/540*u**6 - 16*u**2 + t - 4/135*u**5 + 0*u + 0*u**3 + 4/27*u**4. Factor h(k).
2*k*(k - 4)**2/9
Factor -439632*h**2 + 927 + 439636*h**2 - 3751 - 2820*h.
4*(h - 706)*(h + 1)
Suppose 3*r + 2*r - 50 = 4*g, -g = 4*r + 2. Let l be 12/15*g/(-4). Factor -2/3 + 7/3*h**l + 5/3*h.
(h + 1)*(7*h - 2)/3
Let x(z) be the first derivative of 44*z**2 + 80*z - 101 - 3/2*z**4 - 52/3*z**3. Let x(w) = 0. What is w?
-10, -2/3, 2
Suppose -2*x + 6 = u, 130*u = -4*x + 125*u. Let s(f) be the first derivative of 0*f + 25 + 3/22*f**4 + 2/33*f**3 + 6/55*f**x + 0*f**2 + 1/33*f**6. Factor s(l).
2*l**2*(l + 1)**3/11
Let -88/15 + 1138/15*s**2 + 42/5*s**3 - 912/5*s = 0. What is s?
-11, -2/63, 2
Suppose -4*p + 8 - 5 = 5*y, 1 = 3*p + 4*y. Let a be (p/(-1))/(28/(-16)). Determine l, given that 0 + 4*l**3 + 8/5*l**2 + 0*l + 4/5*l**5 + 16/5*l**a = 0.
-2, -1, 0
Factor -1/3*k**2 + 11/3*k - 10.
-(k - 6)*(k - 5)/3
Let m be (-2)/(64/(-340))*-2*1. Let y = m + 287/12. Suppose -4/3*k**2 - 4/3 + y*k = 0. Calculate k.
1
Let d be 9 - (-252)/(-27) - (-16)/3. Suppose 26*m**3 + 3*m**4 - 52*m**3 - m**d + 30*m**3 = 0. What is m?
-1, 0, 4
Let c(l) be the third derivative of -l**9/151200 - l**8/10080 - l**7/3150 - l**5/3 + 4*l**2 - 3*l. Let a(d) be the third derivative of c(d). Factor a(v).
-2*v*(v + 1)*(v + 4)/5
Find s such that -860*s + 452*s**3 + 465*s**3 - 918*s**3 + 218*s**2 + 856 = 0.
2, 214
Let r(n) = 0 - 22 - n**2 + 12*n**2 + 1. Let s be r(-6). What is i in -225*i + 20*i**3 + s - 42*i**3 + 45*i**2 + 19*i**3 = 0?
5
Solve -31*w**2 - 604/5 - 1/5*w**3 - 608/5*w = 0.
-151, -2
Let o be (8/120*5)/((-280)/(-3)) + 0. Let a(b) be the third derivative of 0*b - 1/56*b**4 + 0*b**3 - o*b**6 + 0 + 2*b**2 + 1/70*b**5. Factor a(d).
-3*d*(d - 1)**2/7
Let x(w) be the first derivative of w**8/1008 - 2*w**7/315 + w**6/72 - w**5/90 + 2*w**2 + 14*w + 51. Let v(c) be the second derivative of x(c). Factor v(r).
r**2*(r - 2)*(r - 1)**2/3
Let s(c) = c**2 + 2*c + 3. Let h(l) = -l**3 - 6*l**2 - l - 8. Let g be h(-6). Let z be s(g). Factor 91*p**2 - 97*p**2 + 2 - p**3 + 3*p**z + 6.
2*(p - 2)**2*(p + 1)
Let p be ((-1)/18*86 - -5) + (-123)/(-54). Let t = 69/244 - 2/61. Determine n, given that p*n**3 + 27/2*n + 27/4 + 9*n**2 + t*n**4 = 0.
-3, -1
Let k = -221 + 221. Determine p, given that -18 + k*p - 19*p - 14*p - 24*p**2 - 6*p - 3*p**3 = 0.
-6, -1
Factor -9*h**3 + h**4 + 53*h - 1594*h**2 - 1703*h**2 - 30 + 3282*h**2.
(h - 10)*(h - 1)**2*(h + 3)
Let f = 714 + -712. Suppose 3*r - r + 3*y = -6, 5*r - f*y = 23. Determine u so that 1/2*u**2 - 1/6 + 0*u - 1/3*u**r = 0.
-1/2, 1
Let r(i) be the first derivative of -i**3 + 1065*i**2/2 - 370. Factor r(p).
-3*p*(p - 355)
Let u(w) be the second derivative of -w**5/170 - 5*w**4/34 + 2*w + 226. Factor u(j).
-2*j**2*(j + 15)/17
Suppose -3*w - 36 = -60, 48 = 2*l + 5*w. Let z(n) be the second derivative of -1/9*n**l + 3*n + 14/9*n**3 + 1 - 20/3*n**2. Determine j so that z(j) = 0.
2, 5
Let j(r) be the third derivative of r**8/168 - r**7/10 + 3*r**6/10 + 179*r**5/60 - 19*r**4 + 30*r**3 + 6839*r**2. What is w in j(w) = 0?
-3, 1/2, 2, 5, 6
Suppose 9*d + 0*d - 48 = -15*d. Let q(w) be the second derivative of 2/39*w**3 + 0 - 1/78*w**4 + 11*w - 1/13*w**d. Factor q(c).
-2*(c - 1)**2/13
Let w(h) be the first derivative of -100 + 20*h + 2/3*h**3 + 11*h**2. Determine r, given that w(r) = 0.
-10, -1
Let i be (24208/(-153)*