 1844*q**2 + 917*q**2 + 135.
3*(q - 3)*(11*q - 15)
Let j(q) = 5*q + 179. Suppose -1184 = 22*k - 414. Let p be j(k). Factor 0 - 4/9*g**5 + 8/9*g**2 - 8/9*g**p + 0*g**3 + 4/9*g.
-4*g*(g - 1)*(g + 1)**3/9
Let o(n) be the third derivative of n**6/90 - 112*n**5/45 - 113*n**4/18 + 5*n**2 + 48. Solve o(a) = 0 for a.
-1, 0, 113
Let d(b) = -4*b**2 + 144*b - 180. Let f = 81 + -80. Let i(r) = 2. Let s(y) = f*d(y) + 20*i(y). Factor s(c).
-4*(c - 35)*(c - 1)
Let m(z) = z**2 + z + 12. Let p(h) = -8*h**3 - 590*h**2 + 616*h - 32. Let f(s) = -10*m(s) + p(s). Factor f(n).
-2*(n + 76)*(2*n - 1)**2
Suppose 0 = 6*k - 2*k - 164. Let t = -39 + k. Suppose -3*z**2 - 4*z**2 - 3*z**t - 24*z - 4 - z**2 = 0. What is z?
-2, -2/11
Let f(i) be the second derivative of 0 + 13*i - 5/3*i**3 + 5/12*i**4 - 15/2*i**2. Solve f(s) = 0.
-1, 3
Let n(v) be the first derivative of -v**5/15 + 9*v**4/2 + 19*v**3 + 2*v**2/3 - 76*v - 2949. Factor n(k).
-(k - 57)*(k - 1)*(k + 2)**2/3
Solve -274/7*a**3 + 10/7*a**4 - 720/7 + 1628/7*a**2 + 1192/7*a = 0 for a.
-1, 2/5, 10, 18
Let n = 62536 + -250133/4. Find r such that -3*r - n - 1/4*r**2 = 0.
-11, -1
Let i be 1/1*9/((-9)/(-4)). Let x be (7 + -5)/(i/6). Factor -4*q**2 + x*q**2 - 2 + 2*q + q.
-(q - 2)*(q - 1)
Let b be -5*(-21570)/94675 + -1. Let r = 2/541 + b. Find w such that 4/7 + 8/7*w - 3/7*w**3 + r*w**2 = 0.
-1, -2/3, 2
Let a(h) be the second derivative of 35/4*h**4 - 166 - h - 115/6*h**3 + 5*h**2. Factor a(m).
5*(m - 1)*(21*m - 2)
Determine i so that 0*i + 0 - 126/11*i**2 + 2/11*i**4 - 4/11*i**3 = 0.
-7, 0, 9
Suppose 12/5*s**2 - 504/5 + 748/5*s - 252/5*s**3 - 4/5*s**4 = 0. What is s?
-63, -2, 1
Suppose -259*q - 7*q + 1796 = 183*q. Let -14/11*g**2 - 16/11*g + 24/11 + 4/11*g**3 + 2/11*g**q = 0. What is g?
-3, -2, 1, 2
Let o be (9163/8330)/(2/(-3) + 38/30). Let u(i) be the first derivative of o*i**4 + 2/3*i - 7/6*i**2 + 1/2*i**6 - 8/9*i**3 - 18 + 2*i**5. Solve u(r) = 0 for r.
-2, -1, 1/3
Let h(y) = y**3 - 2*y**2 + 7*y - 1. Let d(t) = -8*t**3 + 576*t**2 + 18960*t + 12. Let a(c) = -d(c) - 12*h(c). Factor a(z).
-4*z*(z + 69)**2
Suppose -225*d = -310 - 815. Let x = 1/142 + 1417/426. Factor 2/3*i**d + 2/3*i**4 + 16/3*i - x*i**3 - 2/3*i**2 - 8/3.
2*(i - 1)**3*(i + 2)**2/3
Let t(w) be the first derivative of w**3/6 + 59*w**2/4 + 57*w - 1071. Factor t(f).
(f + 2)*(f + 57)/2
Factor -18185*y**2 - 65*y**3 + 7*y**3 - 200*y + 18393*y**2 + 2*y**4.
2*y*(y - 25)*(y - 2)**2
Let d(p) be the first derivative of -p**3/2 + 557*p**2/8 + 93*p/4 + 2570. Determine u so that d(u) = 0.
-1/6, 93
Let y(l) be the first derivative of -4*l**5/5 + 85*l**4 + 4*l**3 - 506*l**2 - 680*l + 3469. Let y(b) = 0. Calculate b.
-1, 2, 85
Let y = 34/689 + -825592/3445. Let o = y - -240. Suppose -1/5*c**2 - 1/5 + o*c = 0. What is c?
1
Suppose -2*c - 5*f + f + 3526 = 0, 5*c - 8787 = 4*f. Suppose 0 = c*p - 1767*p. Factor 1/4*o**2 + p + 1/4*o.
o*(o + 1)/4
Factor -528*h + 0*h**2 + 4*h**2 + 149*h - 149*h + 625 - 101.
4*(h - 131)*(h - 1)
Let y(l) = 7*l - 15. Let h be y(2). Let f be 16/28 + h/7. Let -1/7*a**5 - 3/7*a**4 + 1/7 - 2/7*a**3 + f*a + 2/7*a**2 = 0. What is a?
-1, 1
Let o(t) be the first derivative of 90 + t**4 - 55*t**2 + 2 + 40*t + 35*t**3 - 11*t**4 + t**5. Factor o(z).
5*(z - 4)*(z - 2)*(z - 1)**2
Let v(u) = -3*u**4 - 8*u**3 + 38*u**2 - 64*u + 17. Let s(n) = -n**4 + n**3 - n**2 - 3*n - 1. Let m(i) = 8*s(i) - 2*v(i). Factor m(o).
-2*(o - 7)*(o - 3)*(o - 1)**2
Let l(x) be the third derivative of -x**4/12 + x**3 - 8*x**2. Let t be l(2). Factor -4*k**t - 16*k**2 - 61 - 28*k + 53.
-4*(k + 1)*(5*k + 2)
Let x(v) be the second derivative of -v**5/20 - 8*v**4/3 + 13*v**3/2 + 99*v**2 - 298*v. Factor x(b).
-(b - 3)*(b + 2)*(b + 33)
Let u = 14 - 14. Suppose 2*q + u*q = 10. Factor -b**5 - 10*b**5 + 20*b**q - 10*b**5.
-b**5
Let i(k) be the first derivative of -k**4/8 + 5*k**3/3 + k**2 - 20*k - 7084. Solve i(r) = 0.
-2, 2, 10
Suppose 5*q - 4*p = -2666, 2*q + 1570 = -q - 5*p. Let s = q + 530. Determine d so that 4/11*d**4 - 2/11*d**5 + 2/11*d**3 + 0 - 4/11*d**2 + s*d = 0.
-1, 0, 1, 2
Let n(h) be the first derivative of h**5/20 - 27*h**4/8 + 90*h**3 - 1188*h**2 + 7776*h - 6035. Determine r so that n(r) = 0.
12, 18
Let p(t) be the second derivative of -2*t - 1/12*t**4 - 25/6*t**3 - 85 - 12*t**2. Factor p(j).
-(j + 1)*(j + 24)
Let o(j) be the second derivative of -j**4/4 - 17*j**3 - 435*j**2/2 - 5033*j + 1. Factor o(u).
-3*(u + 5)*(u + 29)
Let c = -259720 - -259722. Solve 2/7*f - 8/7*f**c + 2/7*f**3 + 12/7 = 0 for f.
-1, 2, 3
Let u = -74951 + 299821/4. Suppose -u*q + 1/4*q**4 - 15/4*q**3 + 0 - 33/4*q**2 = 0. What is q?
-1, 0, 17
Let a = -70678141/320 - -220870. Let m = a + -3/320. Factor 0*b**2 - 1/5*b**3 + m*b + 0.
-b*(b - 2)*(b + 2)/5
Factor 70*f + 49*f - 99*f**2 - 234*f - f**4 - 19*f**3 + 34*f.
-f*(f + 1)*(f + 9)**2
Let t be 5/(-10)*(0 - 0). Let f = 25285 + -25285. Factor t - 4/15*i**4 - 2/3*i**3 - 4/15*i**2 + f*i.
-2*i**2*(i + 2)*(2*i + 1)/15
Solve 84/5*a**3 - 1/5*a**5 - 112/5*a**2 - 64/5*a + 144/5 - 13/5*a**4 = 0.
-18, -1, 2
Let p(x) be the third derivative of -1/30*x**6 + 30*x**3 + 11/15*x**5 - 13/2*x**4 + 0*x - 1 - 21*x**2. Factor p(j).
-4*(j - 5)*(j - 3)**2
Let j(y) be the third derivative of y**6/1260 - 16*y**3/3 - 10*y**2 + y. Let x(c) be the first derivative of j(c). Factor x(b).
2*b**2/7
Let 6*g**2 - 843/2*g**4 + 0 + 819/4*g**5 + 0*g + 21*g**3 = 0. Calculate g.
-2/21, 0, 2/13, 2
Let t(z) be the first derivative of 0*z + 0*z**2 + 0*z**3 + 56 + 0*z**5 + 1/21*z**6 + 0*z**4. Factor t(g).
2*g**5/7
Let t(f) be the first derivative of 2/7*f**4 + 6*f**3 + 110 - 16/7*f**2 + 0*f. Factor t(o).
2*o*(o + 16)*(4*o - 1)/7
Let x = 7375/2769 + 3/923. Let i(v) = 10*v - 8. Let a be i(2). Find l such that a*l**2 - 28/3*l - x = 0.
-2/9, 1
Let v(u) be the first derivative of 1/720*u**6 - 3 + 29/3*u**3 + 0*u**2 + 1/6*u**4 + 0*u + 3/80*u**5. Let j(f) be the third derivative of v(f). Factor j(q).
(q + 1)*(q + 8)/2
Let p(z) = 0 - 3*z - z - z + z - 7. Let c(d) = -d**2 - d + 1. Suppose 0 = 2*h + 5 - 3. Let j(a) = h*c(a) - p(a). Suppose j(q) = 0. What is q?
-3, -2
Let y(l) be the second derivative of -l**4/54 + 11*l**3/27 + 26*l**2/9 - 173*l + 1. Factor y(q).
-2*(q - 13)*(q + 2)/9
Let v = 38 + -40. Let c be 2 - ((-78)/(-12) + -6)*v. Solve -1/3*k**c - 1/3*k + 0 + 2/3*k**2 = 0 for k.
0, 1
Let q(x) be the first derivative of 61/19*x**2 + 2/95*x**5 + 40/19*x - 180 + 23/38*x**4 + 42/19*x**3. Find f, given that q(f) = 0.
-20, -1
Let p = -64 - -4. Let h be ((-45)/p)/(66/16). Determine z so that 14/11*z**5 + 32/11*z - 8/11 + 10/11*z**4 - 46/11*z**3 - h*z**2 = 0.
-2, -1, 2/7, 1
Let m be (1337/(-955))/((-14)/16). Let f(g) be the first derivative of m*g**3 - 12/5*g - 11/5*g**2 + 23 + 1/2*g**4. Determine c, given that f(c) = 0.
-3, -2/5, 1
Let a(d) be the first derivative of 126 - 5/3*d**3 - 6480*d - 180*d**2. Solve a(f) = 0.
-36
Solve -1748/9*d**2 + 2/9*d**5 + 874/9*d**4 + 2/9*d + 874/9 - 4/9*d**3 = 0.
-437, -1, 1
Let x = 1378 + -1242. Let d be 3/(-51) - (-212)/x. Let -6*v**2 + 6*v**3 + 0*v + 0 - d*v**4 = 0. What is v?
0, 2
Let n = -4 - -1. Let o(l) = 304*l + 298*l + l**2 - 603*l. Let w(f) = 4*f**2 - 8*f. Let v(c) = n*w(c) + 15*o(c). Suppose v(y) = 0. What is y?
-3, 0
Let s(o) be the second derivative of -o**4/66 + 74*o**3/11 + 448*o**2/11 + 27*o - 52. Factor s(z).
-2*(z - 224)*(z + 2)/11
Let r(b) be the third derivative of -b**8/8400 + 17*b**6/1800 - 3*b**5/50 + b**4/6 + 91*b**3/6 - 5*b**2. Let h(j) be the first derivative of r(j). Factor h(w).
-(w - 2)**2*(w - 1)*(w + 5)/5
Factor -98 + 7*d**3 - 22 - 3*d**3 + 548*d + 480 + 192*d**2.
4*(d + 1)*(d + 2)*(d + 45)
Let l = 2970 - 14847/5. Let h(d) be the second derivative of -2/15*d**3 - d - 1/30*d**4 + 0 + l*d**2. Factor h(p).
-2*(p - 1)*(p + 3)/5
Let q(w) = 5*w - 58. Let x be q(12). Factor 35*k**x + 11 - 65*k + 12 - 5*k**4 + 5*k**3 + 2 + 5.
-5*(k - 2)*(k - 1)**2*(k + 3)
Let v(n) = -4*n**4 + 32*n**3 + 167*n**2 + 189*n - 7. Let l(f) = -f**4 + 11*f**3 + 55*f**2 + 63*f - 2. Let o(s) = -21*l(s) + 6*v(s). Factor o(h).
-3*h*(h + 3)**2*(h + 7)
Let s = -685536 + 685540. Factor 192 + 52/3*h**2 + 1/3*h**s + 160*h - 20/3*h**3.
(h - 12)**2*(h + 2)**2/3
Let i(t) = -t**3 - 42*t**2 + 124*t - 495. Let z be i(-45). Let n = 1 + 1. Solve 6/7*c - 2/7*c**n + z = 0 for c.
0, 3
Factor -17*w - 4*w**2 -