= d**3 - 19*d**2 + 69*d - 32. Let p be s(4). Factor 48/5*u + 15*u**2 + 12/5 + 21/5*u**p + 57/5*u**3 + 3/5*u**5.
3*(u + 1)**3*(u + 2)**2/5
Let l(r) be the first derivative of -r**3/15 - 87*r**2/10 - 535. Suppose l(k) = 0. What is k?
-87, 0
Let x(o) = -3*o + 36 + 2*o - 13. Let t be x(15). Factor -45*z - 76*z**2 + 49*z**4 + 10*z**2 + 77*z**3 - 7*z - t.
(z - 1)*(z + 2)*(7*z + 2)**2
Let d be 9/(-21) - (-585)/189. Factor 4/3*z + 4/3*z**3 + d*z**2 + 0.
4*z*(z + 1)**2/3
Let n(i) = 6*i**3 + 2*i**2 + i - 5. Let g(c) be the second derivative of -c**5/4 - c**4/12 + 2*c**2 + c - 31. Let f(v) = 5*g(v) + 4*n(v). Factor f(b).
-b*(b - 4)*(b + 1)
Let h(o) be the third derivative of o**5/300 - 13*o**4/20 + 507*o**3/10 - 6*o**2 + 6. Let h(q) = 0. Calculate q.
39
Let i be (-4)/6*6/(-14). Let z be ((-25)/(-6) + 52/(-312))/14. Solve -i*k - 4/7*k**2 - z*k**3 + 0 = 0.
-1, 0
Let p(u) be the first derivative of -u**6/2 + 7*u**5/5 + 3*u**4/2 - 22. Suppose p(b) = 0. What is b?
-2/3, 0, 3
Let t be 2/8 - 4/16*-35. Let n(k) = -10*k**2 + 51*k - 90. Let d(j) = -5*j**2 + 26*j - 45. Let l(i) = t*d(i) - 4*n(i). Factor l(o).
-5*(o - 3)**2
Factor p**2 + 9885 + 56679 + 1032*p + 3*p**2.
4*(p + 129)**2
Factor 8 + 3662*l + 4*l**2 - 3686*l + 12.
4*(l - 5)*(l - 1)
Let o(y) be the first derivative of y**3/6 + 4*y**2 + 14*y + 169. Find r such that o(r) = 0.
-14, -2
Let r(h) = h + 3. Let j be r(-3). Let k be (j + -1)/((-1)/2). Factor 0*a**2 - 2*a**2 + 3*a**2 + 3*a + 0*a**k.
a*(a + 3)
Let h(a) be the third derivative of -a**5/60 + 41*a**4/12 - 1681*a**3/6 + 86*a**2 + 2*a. Solve h(s) = 0.
41
Let h(x) = -x**2 + 213*x + 16051. Let q be h(-59). Solve 13/2*j**2 - 1/2*j**q + 11/2 - 23/2*j = 0.
1, 11
Let v(a) = 5*a - 9. Let w(l) = -3*l + 5. Let z(s) = 4*v(s) + 7*w(s). Let r(t) = -15*t**2 - 30*t - 6. Let y(j) = r(j) + 6*z(j). Factor y(x).
-3*(x + 2)*(5*x + 2)
Let i be 4*(52/(-28) - -2)/(420/441). Find j, given that -i*j**4 + 9/5*j**2 - 3*j + 3/5*j**3 + 6/5 = 0.
-2, 1
Suppose -5*a + 4*n = -4 - 0, 28 = 4*a + 3*n. Suppose 7*j - 2*c = a*j + 173, 0 = 5*j + 5*c - 255. Factor 2*m**2 - j*m**3 - 5*m**4 + 45*m**3 - 7*m**2.
-5*m**2*(m + 1)**2
Let l = -36 - -40. Let t(c) = -23*c**2 + 48*c + 17. Let h(r) = 8*r**2 - 16*r - 6. Let s(w) = l*t(w) + 14*h(w). Factor s(d).
4*(d - 2)*(5*d + 2)
Let y(k) be the third derivative of -2*k**7/105 - k**6/5 + 8*k**5/5 - 13*k**4/3 + 6*k**3 - 12*k**2 + 1. Suppose y(s) = 0. What is s?
-9, 1
Let z(p) be the first derivative of p**4/6 + 4*p**3/3 - 16*p**2/3 + 809. Factor z(o).
2*o*(o - 2)*(o + 8)/3
Let r = 11114/3 + -3704. Find p such that 4/9*p**2 - 4/9 - 8/9*p**3 + 0*p**4 + r*p + 2/9*p**5 = 0.
-2, -1, 1
Let s(o) = -19*o**2 - o + 14*o**2 - o**3 + 5 - 7. Let p be s(-5). Find c such that 0*c**2 - 3/4*c**4 + 0*c - 3/4*c**p + 0 = 0.
-1, 0
Factor 4/5 - 2/5*w**2 - 2/5*w.
-2*(w - 1)*(w + 2)/5
Solve 20/3*i + 1/3*i**2 + 19/3 = 0.
-19, -1
Let j(q) be the third derivative of -11/4*q**5 - 25/3*q**4 - 19*q**2 - 1/42*q**7 + 0 - 5/12*q**6 + 0*q - 40/3*q**3. Suppose j(w) = 0. What is w?
-4, -1
Suppose 3*m - 2*i + 3*i = 19, -4*m + 4*i + 4 = 0. Let y be (3/(-2))/((-7)/14). Find a, given that -m*a**y - 2*a**2 + 0*a**3 + 3*a**3 = 0.
-1, 0
Let w be ((-4)/(-8))/(0 - -1). Suppose 0 = 3*s - 5*j - 24, j + 12 = 3*s - 0. Find y such that -1/2*y - y**4 + 0*y**s + 0 + w*y**5 + y**2 = 0.
-1, 0, 1
Let h(z) be the first derivative of z**7/280 - z**6/60 - z**5/40 + z**4/4 + 52*z**3/3 + 46. Let q(a) be the third derivative of h(a). Factor q(j).
3*(j - 2)*(j - 1)*(j + 1)
Let o = -29 - -28. Let r be (o - 2)/(-3) - -2. Solve 12/7*i**2 - 4*i**4 + 40/7*i + 16/7 - 34/7*i**r - 6/7*i**5 = 0.
-2, -1, -2/3, 1
Suppose 2*y + 35*x = 31*x - 24, 0 = -2*y - 5*x - 31. Find j, given that 1/8*j**y + 1/8 + 1/4*j = 0.
-1
Factor 16/11 + 30/11*b - 2/11*b**3 + 12/11*b**2.
-2*(b - 8)*(b + 1)**2/11
Let x(m) = m**4 - 2*m**2. Let t(u) = 3*u**4 + 21*u**3 + 2*u**2 - 11*u. Let o(y) = -t(y) + 5*x(y). Find a, given that o(a) = 0.
-1, 0, 1/2, 11
Let v(u) = -16*u**3 + 4*u**2 + 4*u - 12. Let f(x) = -13*x**3 + 4*x**2 + 3*x - 9. Let l(k) = 4*f(k) - 3*v(k). Determine a so that l(a) = 0.
0, 1
Let u(j) be the second derivative of 3*j**5/20 + 14*j**4 + 837*j**3/2 + 2187*j**2 - 145*j. Solve u(a) = 0.
-27, -2
Let u(v) be the second derivative of v**6/195 + v**5/65 - v**4/78 - 2*v**3/39 - 36*v. Factor u(g).
2*g*(g - 1)*(g + 1)*(g + 2)/13
Let z(k) be the first derivative of k**4 + 4*k**3/3 - 18*k**2 - 36*k - 60. Factor z(c).
4*(c - 3)*(c + 1)*(c + 3)
Let y = 2352 - 2349. Let i(b) be the first derivative of 5/2*b**2 + 10*b + 5 - 5/3*b**y. Factor i(a).
-5*(a - 2)*(a + 1)
Let n(r) be the third derivative of 7*r**6/24 - r**5/12 - 141*r**2. Factor n(a).
5*a**2*(7*a - 1)
Let t be (0 - 2)/(2 + 10/(-4)). Factor 14*h - 2*h**3 - 18 - 10*h**2 - t*h**2 - 8*h**2 - 52*h.
-2*(h + 1)**2*(h + 9)
Factor 3*z - 37*z + 4*z + 9*z**2 + 12*z - z**4 + 7*z - z**3 + 4.
-(z - 1)**3*(z + 4)
Factor -2/9*x**2 + 0 + 0*x - 4/9*x**3 - 2/9*x**4.
-2*x**2*(x + 1)**2/9
Let v(l) = 10*l**3 - 540*l**2 + 945*l + 4340. Let z(g) = g**3 - 60*g**2 + 105*g + 482. Let r(d) = 4*v(d) - 35*z(d). Factor r(p).
5*(p - 7)**2*(p + 2)
Let 0 + 0*i**3 - 1/6*i**5 + 1/2*i**4 + 0*i - 2/3*i**2 = 0. What is i?
-1, 0, 2
Let h be (2384/16390)/(8/10). Suppose -h*v**5 - 8/11*v**3 + 10/11*v + 8/11*v**4 - 4/11*v**2 - 4/11 = 0. Calculate v.
-1, 1, 2
Let z(f) be the third derivative of f**6/1140 - 99*f**5/190 + 7301*f**4/76 + 22201*f**3/57 + 44*f**2 - 5. Factor z(t).
2*(t - 149)**2*(t + 1)/19
Let l = 7/8 + -3/4. Let w(o) be the first derivative of 0*o**3 + 4 - 3/16*o**4 + 0*o - l*o**6 + 3/10*o**5 + 0*o**2. What is i in w(i) = 0?
0, 1
Let j = 5/93 - 1/93. Let g = 473/186 - j. Suppose 2 + g*d**2 + 6*d = 0. Calculate d.
-2, -2/5
Let v(i) be the third derivative of -1/540*i**6 + 4/27*i**3 - 5*i**2 + 0*i - 1/90*i**5 + 0*i**4 + 0. Suppose v(y) = 0. Calculate y.
-2, 1
Let g be (254*-1 - 1/(-1)) + -2. Let n be -3 - (g/(-35) - 4)/(-1). Suppose -6/7*j**2 + 0*j + 8/7 + n*j**3 = 0. What is j?
-1, 2
Suppose -16*q + 94/3*q**3 + 88/3*q**4 + 0 + 14/3*q**5 - 148/3*q**2 = 0. Calculate q.
-4, -3, -2/7, 0, 1
Let c = -7/4 - -65/28. Factor 0*m**3 + 0 + c*m**2 + 0*m - 4/7*m**4.
-4*m**2*(m - 1)*(m + 1)/7
Suppose -2*o + 49 = 3*y, -3*o - 2*y + 60 = -1. Suppose -o*v = -9*v. Factor v + 0*i + 1/3*i**3 - i**2.
i**2*(i - 3)/3
Suppose 2*l - 22 = -12. Let 10 - 5*z**2 + 2*z + l*z - 2*z = 0. What is z?
-1, 2
Let t(s) = 6*s - 2*s + 46 + 0*s + 7*s. Let c be t(-4). Factor 2/3 + 2/3*h**3 + c*h + 2*h**2.
2*(h + 1)**3/3
Let a(d) = -3*d**2 - 160*d - 6567. Let m(l) = -16*l**2 - 799*l - 32838. Let j(y) = 33*a(y) - 6*m(y). Factor j(v).
-3*(v + 81)**2
Let g = 863 + -859. Suppose 5 - 5/2*o**3 - 5/2*o**g + 15/2*o**2 + 25/2*o = 0. What is o?
-1, 2
Let o(q) = -q + 15. Let t be o(2). Solve -t*u**2 - 324 - 72*u + 3*u**2 + 7*u**2 - u**2 = 0 for u.
-9
Let h = -4 + 4. Suppose 383 - 363 = 10*u. Factor h - 1/4*o**u + 1/2*o.
-o*(o - 2)/4
Suppose 5*a + 3*i + 5 + 5 = 0, 0 = i. Let c be 1 + (3 - 5) + (-1 - a). Let 2/11*o**2 + 0*o + c = 0. Calculate o.
0
Suppose 13*f - 278 = -18. Suppose 3*z + 11 = f. Factor 22/3*u**4 - 4/3*u + 0 + 6*u**2 - 2*u**5 - 10*u**z.
-2*u*(u - 1)**3*(3*u - 2)/3
Let s(r) = r**3 - 7*r**2 - 2*r + 14. Let q be s(7). Factor -h + q*h**2 - 3*h - 3*h**2 + h.
-3*h*(h + 1)
Let p be (-46)/(-8) + -173 + 171. Let -p*s + 5/4*s**2 + 5/2 = 0. What is s?
1, 2
Let m = -815379 + 325336057/399. Let v = 1/57 - m. Factor -v + 9/7*b - 6/7*b**2.
-3*(b - 1)*(2*b - 1)/7
Determine l so that -10 + 12*l**2 + 7 + 3 - 30*l - 9*l**2 = 0.
0, 10
Let n(r) be the third derivative of r**7/1365 + 7*r**6/780 + 3*r**5/65 + 5*r**4/39 + 8*r**3/39 + 40*r**2. Factor n(m).
2*(m + 1)*(m + 2)**3/13
Suppose 0 + 0 = f. Suppose -j - 8*j = f. Factor j*h + 0 - 2/15*h**2 - 2/15*h**3.
-2*h**2*(h + 1)/15
Factor -5 - 2*r**4 + 8*r**2 - 2461*r + 1225*r + 2*r**3 + 1228*r + 5.
-2*r*(r - 2)*(r - 1)*(r + 2)
Let c(o) be the second derivative of o**6/105 - o**5/14 + 4*o**4/21 - 4*o**3/21 - 214*o. Suppose c(g) = 0. Calculate g.
0, 1, 2
Suppose -8*b = -18*b + 100. Suppose -20*w - b = -25*w. Suppose 4/3*r + 1/3*r**w + 1 = 0. What is r?
-3, -1
Let r(l) be the first derivative of 21/4*l**4 - 21 + 15*l**3 + 0*l + 27/2*l**2 + 3/5*l**5. Factor r(s).
3*s*(s + 1)*(s + 3)**2
Suppose -4*g + 5*w + 20 - 4 = 0, 0 = -4*g - 2*w - 12. Let a b