w(y) = 12*y**4 + 20*y**3 + 44*y**2 + 20*y + 16. Let d = -472 - -464. Let g(x) = d*z(x) + w(x). Factor g(l).
4*(l + 1)**3*(l + 2)
Let j be ((-17)/9 + 2)/((9316/(-816))/(-137)). Determine m so that 0 + j*m**2 + 1/3*m**3 - 5/3*m = 0.
-5, 0, 1
Let j(r) be the first derivative of 71 - 6*r**2 - 2/3*r**3 + 14*r. Factor j(f).
-2*(f - 1)*(f + 7)
Let q be ((-21)/(-196)*-4)/(1/(-7)). Find u, given that 300 + q*u**3 + 213*u + 32*u**2 - u**3 - 43*u + 0*u**3 = 0.
-6, -5
Let c(l) be the second derivative of 39 + 2/9*l**2 - 5/9*l**3 - l - 4/27*l**4. Factor c(n).
-2*(n + 2)*(8*n - 1)/9
Let h = 2376379/3 - 792121. Let 4/9*p - 10/3*p**2 - 22/9*p**4 + 0 + h*p**3 = 0. What is p?
0, 2/11, 1
Let 8836 + 129*g**4 + 2589*g**2 - 128*g**4 + 4422*g + 4790*g + 98*g**3 = 0. What is g?
-47, -2
Factor -1353/2 - 678*u - 3/2*u**2.
-3*(u + 1)*(u + 451)/2
Let k be -1 + 23/(-3) + (-5005)/(244 + -629). Factor -k*m + 1/6*m**2 - 9/2.
(m - 27)*(m + 1)/6
Let x = 12 - 32/3. Let i(h) be the second derivative of -h**2 + 3*h + x*h**3 + 0 - 1/15*h**6 + 2/5*h**5 - h**4. Find v such that i(v) = 0.
1
Let v be (-9)/(-6) - (-54)/180. Let c be 1035/575*2/2. Find n, given that -c*n**3 - 3/5*n**4 - 3/5*n**2 + v*n + 6/5 = 0.
-2, -1, 1
Let f = 7260 + -7257. Let t(i) be the second derivative of 0*i**f + 5/42*i**7 + 0*i**2 - 1/6*i**6 + 0*i**4 + 29*i + 0 - 3/2*i**5. Factor t(u).
5*u**3*(u - 3)*(u + 2)
Let h(p) = p**3 + p**2 - 3*p + 9. Let q be h(0). Suppose -q*v = -2*v - 14. Suppose 1/4*w**v + w + 3/4 = 0. Calculate w.
-3, -1
Let v(x) = 2*x**2 + 2420*x - 56318. Let u be v(23). Factor -4/9*j**2 - u - 80/3*j.
-4*(j + 30)**2/9
Factor 4*f - 1/2*f**3 + 0 - f**2.
-f*(f - 2)*(f + 4)/2
Let t(a) = -a**3 + 16*a**2 + 18*a - 20. Let x be t(17). Let l = 13 + x. Suppose 5*k**4 + 19*k**5 - 15*k**5 - 9*k**5 + l*k**3 = 0. Calculate k.
-1, 0, 2
Let t = 321032/5 - 320928/5. Find l, given that 26/5*l**3 + 16/5*l**2 - 6/5*l**4 + 32/5 - t*l = 0.
-2, 1/3, 2, 4
Let q(x) be the first derivative of 7*x**5/150 + 19*x**4/90 + 8*x**3/45 - 4*x**2/15 - 38*x - 88. Let k(u) be the first derivative of q(u). Factor k(m).
2*(m + 1)*(m + 2)*(7*m - 2)/15
Let r = -187/4 - -47. Suppose 38 = 23*s - 3*z, 384*s - 5*z = 388*s + 21. Determine g so that r*g**3 - g - s + 1/4*g**2 = 0.
-2, -1, 2
Factor -1/8*f**2 - 351/8*f + 0.
-f*(f + 351)/8
Let y = 30805514/63 + -488961. Let n = 140/9 - y. Factor -n + 1/7*a**2 + 0*a.
(a - 1)*(a + 1)/7
Let o = 291 - -198. Let x = -485 + o. Find k, given that -18/5*k**x + 0 + 6/5*k**5 - 12/5*k + 6/5*k**3 + 18/5*k**2 = 0.
-1, 0, 1, 2
Let v(h) = -3*h**3 + 142*h**2 + 533*h + 757. Let y(b) = 2*b**3 - 72*b**2 - 266*b - 378. Let k(g) = 6*v(g) + 11*y(g). What is l in k(l) = 0?
-8, -4, -3
Let w = -6592/45 - -14039/90. Solve 11*s + 3/2 + w*s**2 = 0 for s.
-1, -3/19
Let j(w) = 21*w**4 - 1144*w**3 - 3782*w**2. Let p(m) = -2*m**4 + 104*m**3 + 344*m**2. Let b(h) = -2*j(h) - 23*p(h). Let b(d) = 0. What is d?
-3, 0, 29
Let q = 59 - 57. Solve -3*c**q + 7*c**2 + 1 - 7 - 4*c - 2 = 0 for c.
-1, 2
Let v(d) = d**2 + 59*d + 16. Let w be v(-59). Suppose -95*o = w*o - 444. Factor 12/17*s**3 + 0 + 0*s + 2/17*s**o - 2/17*s**5 + 0*s**2.
-2*s**3*(s - 3)*(s + 2)/17
Let v(z) be the first derivative of -56/3*z**2 + 84 - 1568/3*z - 2/9*z**3. Solve v(s) = 0 for s.
-28
Let g be (-22 - -2573)*(1 - 0 - 2). Let o = g - -2553. Solve 2*a + 1/2*a**o - 6 = 0 for a.
-6, 2
Let z be (-2)/((-11)/(19 - -3)). Let c be 0*(96/(-180) - z/(-12)). Let 0*r + 4*r**3 + 2/3*r**4 + c*r**2 - 2/3*r**5 + 0 = 0. Calculate r.
-2, 0, 3
Let m = 102 - 2140/21. Let f be (-4136)/231 - -32 - (14 + 0). Suppose 10/21*s**3 + 2/21*s**2 - f*s**4 + 8/21 - 16/21*s - m*s**5 = 0. What is s?
-2, 1
Let a = -20 + 31. Factor -5*d**2 + 0*d**2 + 3961*d + 49 - 4016*d + a.
-5*(d - 1)*(d + 12)
Let u(x) be the first derivative of -23/2*x**2 + 32 + 1/15*x**5 + 0*x + 0*x**4 + 0*x**3 - 1/30*x**6. Let i(q) be the second derivative of u(q). Factor i(r).
-4*r**2*(r - 1)
Let j(a) = -24*a - 150 - 275 - 3*a + 9*a + 121. Let d be j(-17). Determine t so that -48/7*t**3 + 0 - 12/7*t**4 - 15/7*t + 57/7*t**d = 0.
-5, 0, 1/2
Let y(m) be the second derivative of -3*m**5/50 - 7*m**4/10 + 14*m**3 - 312*m**2/5 + 671*m. Determine s, given that y(s) = 0.
-13, 2, 4
Let u be 78/(-195) + (-144)/(-189)*(-99)/(-60). Determine m, given that -38/21*m + 4/7 - 68/21*m**2 - u*m**3 = 0.
-3, -1, 2/9
Let a(o) be the third derivative of o**7/70 - 69*o**6/10 - 279*o**5/5 - 140*o**4 - 36*o**2 - 95*o. Factor a(g).
3*g*(g - 280)*(g + 2)**2
What is u in -74*u + 1/6*u**2 + 442/3 = 0?
2, 442
Suppose -24*c = -27*c + 4908. Suppose -1627*u + c*u = 0. Determine r so that 0*r**2 + 10/7*r**4 + 0 - 2/7*r**5 - 8/7*r**3 + u*r = 0.
0, 1, 4
Let t be (56 - 28520/506)*(-1 + 9/(-2)). Solve -10/7*r**3 - 24/7 - 88/7*r - 74/7*r**t = 0.
-6, -1, -2/5
Let t be ((-2912)/700)/(-2) - 4/50. Let a(h) be the third derivative of -2/7*h**3 - 8*h**t + 0*h + 3/56*h**4 + 1/140*h**5 + 0. Find d such that a(d) = 0.
-4, 1
Let m(v) = 2*v**3 + v**2 - 1121*v - 2222. Let k be m(-2). Factor 2/3*g**3 + k*g**2 + 58/3*g + 12.
2*(g + 1)*(g + 2)*(g + 9)/3
Suppose 5 = 5*z, 5*o = 6*o - 2*z - 2. Find r, given that 38*r**o - 3*r**5 + 6*r - 108*r**4 + 34*r**4 + 9*r**2 - 3*r**3 + 27*r**4 = 0.
-2, -1, 0, 1
Let b be (-12)/(-7) - (-6)/21. Let f be 2/((-10)/40*(-7 - -3)). Solve -7*l**3 - f*l - 4*l**b + 4*l**3 + 6*l = 0.
-2, 0, 2/3
Let r(p) = p**3 + p + 62. Let x be r(-7). Let k = x - -1444/5. Suppose 0 - 4/5*i**4 + 4/5*i**2 + 4/5*i - k*i**3 = 0. What is i?
-1, 0, 1
Factor 104/3*u**2 + 22/3*u**4 + 0*u - 1/3*u**5 + 0 + 100/3*u**3.
-u**2*(u - 26)*(u + 2)**2/3
Let f(o) = -14*o**3 - 69*o**2 - 83*o + 11. Let y(s) = -13*s**3 - 60*s**2 - 82*s + 10. Let a(z) = -10*f(z) + 11*y(z). Factor a(m).
-3*m*(m - 6)*(m - 4)
Suppose -702 = 655*g - 2012. Factor 55/3*m - 140/3 - 5/3*m**g.
-5*(m - 7)*(m - 4)/3
Solve 12 + 1519*m**2 - 16 + 945*m - 271*m**2 + 299*m = 0 for m.
-1, 1/312
Suppose 650 = 9*j + 4*j. Factor -23*m**2 - 106*m + 10 - 12*m**2 - j + 176*m + 5*m**3.
5*(m - 4)*(m - 2)*(m - 1)
Suppose 49*p - 206 = -206. Factor 1/5*o**4 - 1/5*o**2 + p + 1/5*o**5 + 0*o - 1/5*o**3.
o**2*(o - 1)*(o + 1)**2/5
Suppose 4*m - 4504 + 4536 = -4*q, 0 = -3*q - 4*m - 35. Suppose -1/4*r**q + 0*r + 1/2*r**2 + 0 = 0. What is r?
0, 2
Factor -2*j**4 - 75*j**3 + 207*j - 129*j**2 + 2*j**4 - 2*j**4 + 0*j**4 - j**4.
-3*j*(j - 1)*(j + 3)*(j + 23)
Let j = 1117875 - 7825101/7. Let 2/7*f + j - 1/7*f**2 = 0. What is f?
-4, 6
Let y(j) = -5*j + 2. Let p(u) = -14*u + 7. Let c(m) = 4*p(m) - 11*y(m). Let o be c(4). Factor 6*b + 4 + 5*b**2 + 5*b**o - 8*b**2.
2*(b + 1)*(b + 2)
Let f(x) = 10*x**2 + 386*x - 386. Let m be f(1). Let h(c) be the second derivative of -m*c + 0*c**2 + 0 - 1/2*c**3 - c**4. Find b, given that h(b) = 0.
-1/4, 0
Suppose 2*l - 2*k - 357 - 11 = 0, 745 = 4*l + 5*k. Suppose l*n = 183*n + 36. Let 3/2 - 3*b - n*b**2 - 15/2*b**4 - 21*b**3 = 0. Calculate b.
-1, 1/5
Let s(a) = 10*a - 18. Let i be s(2). Let t(r) = r**2 - r. Suppose 7 + 17 = 4*f. Let j(z) = -z**2 + 21*z - 20. Let d(w) = f*t(w) + i*j(w). Factor d(q).
4*(q - 1)*(q + 10)
Let w(m) be the third derivative of -1/200*m**6 - 10*m**2 + 0*m**3 - 1/100*m**5 + 0*m + 0*m**4 - 11. Factor w(f).
-3*f**2*(f + 1)/5
Let x(v) = v**3 - 23*v - 7. Let f = 1490 - 1485. Let c be x(f). Factor -2/7*r**c - 6/7 + 6/7*r**2 + 2/7*r.
-2*(r - 3)*(r - 1)*(r + 1)/7
Let h(s) be the third derivative of -s**6/18 - 7*s**5/30 - s**4/3 + 50*s**3 - 6*s**2 + 25*s. Let m(f) be the first derivative of h(f). Solve m(n) = 0 for n.
-1, -2/5
Let c(k) be the third derivative of k**7/126 - k**6/120 - 167*k**5/180 - 127*k**4/24 - 7*k**3 - 3*k**2 + 17*k + 1. Factor c(n).
(n - 7)*(n + 3)**2*(5*n + 2)/3
Let n = -851 - -877. Suppose n*o - 270 = -19*o. Determine j, given that -8/7*j + 50/7*j**5 - o*j**3 - 40/7*j**2 + 0 + 40/7*j**4 = 0.
-1, -2/5, 0, 1
Let g(m) be the third derivative of -m**6/660 - 49*m**5/55 - 2401*m**4/11 - 941192*m**3/33 - 3088*m**2. Factor g(h).
-2*(h + 98)**3/11
Suppose 523 + 527/3*t**2 - 1/3*t**3 - 2095/3*t = 0. Calculate t.
1, 3, 523
Let i(g) be the third derivative of g**5/180 + 53*g**4/36 + 2809*g**3/18 - 231*g**2 - 3. Determine b, given that i(b) = 0.
-53
Factor -1210/3*o**2 + 0 - 405*o + 5/3*o**3.
5*o*(o - 243)*(o + 1)/3
Let p(h) be the second derivative of 1/100*h**5 - 21/10*h**4 + 82*h + 0 - 37044/5*