40*y**6 - y - 11/20*y**5 + 19/8*y**4. Factor l(q).
3*(q - 9)*(q - 1)**2
Let x(j) = 52*j**2 - 193*j + 57. Let w(n) = -60*n**2 + 191*n - 58. Let s(i) = 6*w(i) + 7*x(i). Solve s(f) = 0 for f.
1/4, 51
Let m(b) be the second derivative of 1/42*b**7 + 1 - 3/10*b**5 - 3*b**2 + 1/15*b**6 - 19/6*b**3 - 6*b - 5/3*b**4. Factor m(c).
(c - 3)*(c + 1)**3*(c + 2)
Suppose 9*l - 8*l = 5*j + 120, -j = 0. Let 71*x + 25*x**3 - l + 119*x - 20*x**3 - 75*x**2 = 0. Calculate x.
1, 2, 12
Factor 936/7*m + 3132/7 + 51/7*m**2 - 3/7*m**3.
-3*(m - 29)*(m + 6)**2/7
Let m be (48/(-10))/3*1981/(-1981). Factor 0 - 9/5*w**3 + 0*w + 1/5*w**4 + m*w**2.
w**2*(w - 8)*(w - 1)/5
Let u be 1 - (10/(150/(-135)) - -7). Find a such that 1168/5*a**2 + 12012/5*a - 3528/5 + 28/5*a**u = 0.
-21, 2/7
Let t = -855656 + 855661. Suppose -15/2*s**3 + 0 - 1/2*s**t + 7/2*s**2 + 9/2*s**4 + 0*s = 0. Calculate s.
0, 1, 7
Let s(v) = -2*v**2 + 3*v + 23. Let c be s(4). Determine y, given that 2 + 2 + 2 + 29*y**3 - 6*y**2 + 2 - 4*y - 28*y**c + y**4 = 0.
-2, 1, 2
Let c(t) = t**3 + t**2 + 10*t + 78. Let j be c(-9). Let h be j/(-40) - 18 - (0 - 6). Factor 3/4*d**2 + 21/4*d + h.
3*(d + 1)*(d + 6)/4
Let u(j) = -5*j**3 - 16*j**2 + 35*j - 20. Let t(i) = -i**2. Suppose 0 = 5*c - 0*c - 30. Let z(w) = c*t(w) - u(w). Factor z(h).
5*(h - 1)**2*(h + 4)
Let g(j) = j - 4. Let f(y) = -5*y**3 + 630*y**2 - 619*y - 24. Let k(p) = -f(p) + 6*g(p). Factor k(o).
5*o*(o - 125)*(o - 1)
Let v(z) be the first derivative of 1/21*z**3 - 128 + 2116/7*z - 46/7*z**2. Factor v(s).
(s - 46)**2/7
Let y(j) be the first derivative of 3*j**4/4 + 7*j**3 - 435*j**2/2 + 1275*j + 49. Suppose y(w) = 0. Calculate w.
-17, 5
Let u(t) be the first derivative of -77 + 7/30*t**5 - 16/3*t**2 - 85/18*t**3 - 13/12*t**4 - 2*t. Factor u(q).
(q - 6)*(q + 1)**2*(7*q + 2)/6
Let d(r) = 75*r**3 - 610*r**2 + 925*r - 390. Let w(f) = 19*f**3 - 152*f**2 + 231*f - 98. Let s(b) = -4*d(b) + 15*w(b). Solve s(o) = 0.
2/3, 1, 9
Determine c, given that -5694/7*c**3 - 4450/7*c - 636/7 + 18/7*c**4 - 9526/7*c**2 = 0.
-1, -1/3, 318
Suppose 8*x + 20*x - 15*x = 39. Let q(w) be the second derivative of 11/10*w**x + 3/100*w**5 - 9/5*w**2 + 0 + 19*w - 3/10*w**4. Factor q(l).
3*(l - 3)*(l - 2)*(l - 1)/5
Let h(a) = 3*a**2 - 13*a - 8. Let l be h(5). Factor -19*n**2 - 108 + 87*n**l - 30*n**2 - 48*n - 22*n**2 - 20*n**2.
-4*(n + 3)*(n + 9)
Let l(i) be the second derivative of 85*i**5/28 + 25*i**4/12 + i**3/21 + 1631*i. Factor l(z).
z*(5*z + 2)*(85*z + 1)/7
Let t(a) be the third derivative of -a**6/72 + 7*a**5/24 - 40*a**3/3 - 24*a**2 - 1. Let k(o) be the first derivative of t(o). Factor k(j).
-5*j*(j - 7)
Let z(l) = l**3 - 5*l**2 - 12*l + 1. Let a be z(7). Suppose a*m + 192 = 19*m. Factor -3 + m*w**2 + 16 + 36*w - 5 + 20*w**3.
4*(w + 1)**2*(5*w + 2)
Solve -531*k**2 + 0*k**3 - 672*k**2 - 590*k**2 + 2*k**3 + 1469*k**2 = 0.
0, 162
Let s(f) = f**3 + 13*f**2 + 17*f - 17. Let a be s(-10). Let j = -1239/11 + a. What is o in 4/11*o**3 - 6/11*o**4 - 6/11*o + 2/11*o**5 + 2/11 + j*o**2 = 0?
-1, 1
Factor 18 + 164/9*d + 2/9*d**2.
2*(d + 1)*(d + 81)/9
Let j(r) be the first derivative of 2*r**3/9 + 76*r**2/3 + 192*r - 6637. Factor j(k).
2*(k + 4)*(k + 72)/3
Let v(c) be the third derivative of 13*c**6/300 - 211*c**5/150 + 4*c**4/5 - 46*c**2 + 21. Factor v(q).
2*q*(q - 16)*(13*q - 3)/5
Let m(y) = -36*y**3 - 5958*y**2 - 80958*y - 75186. Let q(n) = -n**3 - 161*n**2 - 2188*n - 2032. Let z(g) = -2*m(g) + 75*q(g). Factor z(b).
-3*(b + 1)*(b + 26)**2
Let m(z) = z**4 + z**3 - 2*z**2 + z. Let l(w) = 3*w**4 + 1041*w**3 - 1801*w**2 + 451*w + 302. Let r(o) = -l(o) - 4*m(o). Determine g so that r(g) = 0.
-151, -2/7, 1
Let i be (-824)/36*6/(-16) - (-6)/8. Factor -10/3*a + 2/3*a**2 - i.
2*(a - 7)*(a + 2)/3
Let i = 77443 + -542085/7. Let -5/7*w**4 - 33/7*w**3 - i*w + 0 + 54/7*w**2 = 0. Calculate w.
-8, 0, 2/5, 1
Let s(n) = 13*n**2 + 24*n - 15. Let g be s(-3). Let p(d) be the third derivative of 0*d**3 + 1/210*d**6 + 0 + g*d**2 + 4/35*d**5 + 6/7*d**4 + 0*d. Factor p(o).
4*o*(o + 6)**2/7
Factor 1/3*d**4 - 14/3*d**3 + 44/3*d - 28/3 - d**2.
(d - 14)*(d - 1)**2*(d + 2)/3
Let m = -1245 - -1248. Let t(v) be the first derivative of -1/4*v**5 - 5/24*v**6 + 16 + 25/16*v**4 + 0*v + 0*v**2 - 5/4*v**m. Suppose t(l) = 0. Calculate l.
-3, 0, 1
Let q be (2234/(-3351))/(28/(-54)). Let g = 568/1309 + -1/187. Factor g*r**2 + q + 12/7*r.
3*(r + 1)*(r + 3)/7
Let j(v) be the second derivative of -3*v + 1/90*v**6 + 1/6*v**4 + 11/6*v**3 + 0 + 0*v**2 + 1/15*v**5. Let q(n) be the second derivative of j(n). Factor q(b).
4*(b + 1)**2
Let s = 2513621/336 - 7481. Let o(f) be the third derivative of 1/6*f**5 + 2/21*f**7 + 0*f**3 - 20*f**2 + 0*f**4 - s*f**8 + 0 - 5/24*f**6 + 0*f. Factor o(v).
-5*v**2*(v - 2)*(v - 1)**2
Let y(a) = -2*a**2 + 7*a**3 - 6*a**3 - 1559 + a + 1561. Let d be y(0). Factor -d*v + 4/3 + 2/3*v**2.
2*(v - 2)*(v - 1)/3
Let h be 1/((-4)/(-32)) - 2. Factor -5*x**2 - 55*x - 50 + h - 46.
-5*(x + 2)*(x + 9)
Let h(l) = -17*l**3 + l**2 - 6*l - 2. Let n be h(4). Let u = 4777 + n. Factor 3679 + 6*s - u + s**2.
s*(s + 6)
Let w be -1 - (7/(-3) - 0/12). Let p be -2 + (-60)/(-33) - 4/(-22). Solve 1/3*b**4 + p - w*b**2 + 8/3*b - 2/3*b**3 = 0 for b.
-2, 0, 2
Let d = -16364/3 + 26221/5. Let c = 211 + d. Solve -4/15*x**2 + 2/5 - c*x**3 - 2/15*x**4 + 8/15*x = 0 for x.
-3, -1, 1
Let y(c) be the second derivative of c**9/756 - c**8/105 + c**7/210 + c**6/15 + 41*c**3/2 - 5*c - 9. Let f(k) be the second derivative of y(k). Factor f(a).
4*a**2*(a - 3)*(a - 2)*(a + 1)
Let b(d) be the third derivative of -19*d**5/15 + 31*d**4/6 - 16*d**3/3 - 7*d**2 + 12. Let s(k) = 7*k**2 - 11*k + 3. Let t(h) = 3*b(h) + 32*s(h). Factor t(o).
-4*o*(o - 5)
Let m(g) = -19*g + 157. Let n be m(8). Let p be n/(-3) + (5 - (-3 - -3)). Solve -22/3*c**4 + p*c**3 + 10*c**2 + 2*c**5 - 8/3 - 16/3*c = 0.
-1, -1/3, 1, 2
Find v such that 50744*v**2 - 223*v - 50739*v**2 - 607*v = 0.
0, 166
Let t(z) = -99*z - 69 - 22*z**2 - z**3 + 64*z + 80*z. Let s be t(-24). Factor -2/3*x**4 + 2*x**s + 0 + 2/3*x - 2*x**2.
-2*x*(x - 1)**3/3
Let n be 3 + 0/2 + -1. Let i(r) = -6*r + 15. Let m be i(n). Factor 9*y**2 - 3*y**4 - 9 - m*y**3 + 15*y + 5 + 10.
-3*(y - 2)*(y + 1)**3
Let t(q) = -2*q**2 + 10*q + 84. Let y be t(19). Let h = y + 452. Factor -2/19*u**h + 16/19*u + 12/19*u**2 + 6/19 + 0*u**3.
-2*(u - 3)*(u + 1)**3/19
Find f such that -202/7*f**3 - 204/7*f**4 + 72*f**2 + 0 - 72/7*f - 26/7*f**5 = 0.
-6, -3, 0, 2/13, 1
Let a(d) be the second derivative of d**6/90 + 9*d**5/10 + 149*d**4/36 - 12*d**3 - 102*d**2 + 1351*d. Solve a(x) = 0 for x.
-51, -3, -2, 2
Suppose 687*i**2 + 306*i + 2321*i**5 + 597*i**3 + 141*i**4 + 72*i**2 - 1161*i**5 - 1163*i**5 = 0. Calculate i.
-2, -1, 0, 51
Factor 42/5*w + 0 - 1/5*w**2.
-w*(w - 42)/5
Let n(o) = 11*o**3 + 14*o**2 - 52*o - 22. Let g(b) = -14*b**3 - 10*b**2 + 52*b + 21. Let q(a) = -4*g(a) - 6*n(a). Suppose q(j) = 0. What is j?
-6, -2/5, 2
Let u = -198878 + 397759/2. Factor -1 - 3/2*h + h**3 + u*h**2.
(h - 1)*(h + 2)*(2*h + 1)/2
Let d(m) be the third derivative of -7*m**3 + 0*m - 21*m**2 + 0 - 1/3*m**4 + 1/30*m**5. Factor d(w).
2*(w - 7)*(w + 3)
Let k be 3/((-42)/64)*(-259)/185. Solve k*j**4 - 84/5*j**3 - 4/5*j**5 + 0 + 88/5*j**2 - 32/5*j = 0 for j.
0, 1, 2, 4
Solve -16/5*r**2 - 1692/5 + 6772/5*r = 0.
1/4, 423
Suppose 2*t - x + 15 = 4*x, 3*t + x = 3. Suppose t = -16*k - 17 + 49. Solve 52*p**2 + 49*p**2 + 2 - 96*p**k + 10*p + p = 0 for p.
-2, -1/5
Let -1152/5*t - 928/5*t**2 - 36/5*t**4 - 312/5*t**3 - 512/5 = 0. Calculate t.
-4, -2, -4/3
Let a(h) be the third derivative of 2*h**7/105 - 43*h**6/30 - 44*h**5/15 + 5*h**2 - 37. Determine l, given that a(l) = 0.
-1, 0, 44
Let w(i) = 36*i**3 + 8*i**2 - 124*i - 304. Let q(j) = -j**3 + j + 2. Let k(a) = -32*q(a) - w(a). Let k(f) = 0. Calculate f.
-4, -3, 5
Let t(a) be the first derivative of -3*a**4/4 - 33*a**3 - 945*a**2/2 - 2025*a + 3039. Determine d so that t(d) = 0.
-15, -3
Suppose 2*v + 5*r + 4 = 0, 0 = -8*v - 762*r + 766*r + 80. Factor 2/5*q**3 + 82/5*q + 44/5*q**2 + v.
2*(q + 1)**2*(q + 20)/5
Let o be 1 + (-52)/(-16) + -3 + 1771/(-1564). Suppose 18/17*s**2 - o*s**5 + 0 - 10/17*s**4 + 0*s - 6/17*s**3 = 0. What is s?
-3, 0, 1
Let y(i) = 2*i**4 - i**3 - i**2 + 2*i + 3. Let t(z) = 13*z**4 - 23*z**3 - 22*z**2 + 14*z + 21. Let k(n)