(h) be the first derivative of a(h). Factor f(l).
2*l*(l + 1)*(l + 2)
Let t(l) be the first derivative of l**6/18 + 2*l**5/3 + 37*l**4/12 + 64*l**3/9 + 26*l**2/3 + 16*l/3 - 655. Suppose t(x) = 0. What is x?
-4, -2, -1
Let b = -1489/2 - -7461/10. Suppose -3*y = -3*i + y + 17, 0 = -2*i - 5*y - 4. Solve -4/5 - 2*u - 2/5*u**i - b*u**2 = 0.
-2, -1
Let i(t) = -t**2 + 3*t + 22. Let a be i(6). Let m(q) be the second derivative of 1/24*q**a + 0*q**2 + 0*q**3 + 0 - 2*q. Solve m(z) = 0.
0
Let g = 2/341 - 1037/2387. Let d = -1/35 - g. Factor 2/5*u**2 + 2/5*u**3 - 2/5*u**4 + 0 - d*u.
-2*u*(u - 1)**2*(u + 1)/5
Suppose -59 = -5*a - 304. Let d be (126/a)/((-9)/24). What is v in -d - 124/7*v**2 - 40*v**3 + 100/7*v**4 + 208/7*v = 0?
-1, 2/5, 3
Let b = -21 + 29. Suppose b = -0*z + 4*z. Factor -12*n**4 + n**5 + 0 + 0 - 4*n**5 - 15*n**3 - 6*n**z.
-3*n**2*(n + 1)**2*(n + 2)
Suppose n - 4*n + 18 = 0. Factor -36*u + n*u**2 + 62*u + 3 - 35*u.
3*(u - 1)*(2*u - 1)
Let z = 673872289928/2639 + -255351375. Let m = z - -1/377. Factor 30/7*b**3 + 15/7*b**4 + 15/7*b + m*b**2 + 3/7 + 3/7*b**5.
3*(b + 1)**5/7
Let r(n) be the first derivative of -n**8/840 - 3*n**7/140 - 2*n**6/15 - 4*n**5/15 + n**3 + 20. Let q(i) be the third derivative of r(i). Factor q(g).
-2*g*(g + 1)*(g + 4)**2
Let c(r) be the third derivative of -r**5/12 + 5*r**4/6 - 5*r**3/2 - 66*r**2. Factor c(a).
-5*(a - 3)*(a - 1)
Let a(o) be the first derivative of 1/180*o**5 - 5/2*o**2 - 1/18*o**4 + 2/9*o**3 + 0*o - 11. Let f(q) be the second derivative of a(q). Factor f(b).
(b - 2)**2/3
Let f be (-4)/((-4)/(-4) + -3). Suppose 20 - 7*v**2 + f*v**3 - 7*v**3 - 8*v**2 = 0. What is v?
-2, 1
Let x(t) be the first derivative of 3*t**5/10 + 3*t**4/8 - 6*t**3 + 3*t**2 + 24*t - 214. Factor x(n).
3*(n - 2)**2*(n + 1)*(n + 4)/2
Let u(g) be the first derivative of 5*g**3/3 + 5*g**2 + 256. Factor u(c).
5*c*(c + 2)
Let f(b) be the third derivative of -b**5/60 + 5*b**4/24 + b**3 - 2*b**2 + 44*b. Suppose f(k) = 0. Calculate k.
-1, 6
Let h(v) be the second derivative of -v**9/9072 + v**8/1680 - v**7/840 + v**6/1080 + 5*v**3/3 - 8*v. Let m(x) be the second derivative of h(x). Factor m(i).
-i**2*(i - 1)**3/3
Suppose z + 16 - 20 = 0. Let n(i) be the third derivative of 3/200*i**6 + 1/350*i**7 + z*i**2 + 3/100*i**5 + 0*i + 0 + 0*i**3 + 1/40*i**4. Solve n(b) = 0 for b.
-1, 0
Suppose -31*z = -37*z. Let r(t) be the third derivative of 0*t**3 + 0*t**4 + z - 7/300*t**6 - 2/175*t**7 - 1/75*t**5 - 3*t**2 + 0*t. Factor r(i).
-2*i**2*(2*i + 1)*(3*i + 2)/5
Let z = -3201 - -3205. Find q, given that 2/7*q - 4/7*q**3 - 2/7*q**z - 2/7 + 4/7*q**2 + 2/7*q**5 = 0.
-1, 1
Let h = -292 + 294. Let p(y) be the first derivative of 2 + 2/5*y**3 - 1/5*y - 2/5*y**4 + 0*y**h + 3/25*y**5. Find z, given that p(z) = 0.
-1/3, 1
Let k(v) be the second derivative of -7*v**6/40 + 57*v**5/40 - 71*v**4/16 + 13*v**3/2 - 9*v**2/2 + 216*v. Determine z, given that k(z) = 0.
3/7, 1, 2
Let c = -180 - -180. Let k(j) be the third derivative of 1/12*j**4 - 1/60*j**6 + 0*j - 3*j**2 + c*j**3 + 0*j**5 + 0. Suppose k(m) = 0. Calculate m.
-1, 0, 1
Factor 102*n**2 + 6*n**3 + 303*n**2 + 14*n**3 + 95 + 480*n.
5*(n + 1)*(n + 19)*(4*n + 1)
Let i(o) = -7 - o**2 - 37*o + 28*o - 6*o**2. Let n(p) = 7*p**2 + 9*p + 8. Let r(s) = 6*i(s) + 5*n(s). Factor r(w).
-(w + 1)*(7*w + 2)
Let z(r) be the second derivative of -r**6/45 + 7*r**5/30 - 11*r**4/18 + 5*r**3/9 + 146*r - 1. Find u such that z(u) = 0.
0, 1, 5
Suppose h = -3*w + 11, w - 27 = -7*h + 2*h. Let v be (w + -2 - 2)*(-7 - -6). Factor 0 - 3/4*t + 3/4*t**v.
3*t*(t - 1)/4
Suppose i = -7*i + 32. Suppose i*g + 52 = 30*g. Determine r, given that 0*r - 6*r**g + 0 + 3/2*r**3 = 0.
0, 4
Factor -28*j**2 + 3*j**2 + 14*j**2 + 15*j**4 + 5*j**5 + 16*j**2 + 15*j**3.
5*j**2*(j + 1)**3
Let m be (-16)/6*(-12 + 9 + (-36)/(-16)). Find i, given that -5/2*i**m - 245/2 + 35*i = 0.
7
Let v = 16 - 0. Suppose -3*p + 25 = v. Factor 2*m**3 + m**4 + 7*m**4 - 3*m**4 + p*m**3.
5*m**3*(m + 1)
Let b = 270 + -268. Suppose 4*g = -b*i - 8, 0 = -2*g - 5*i - 5 - 15. Factor g + 0*o**2 + 0*o - 2/7*o**4 + 0*o**3 + 2/7*o**5.
2*o**4*(o - 1)/7
Let o(q) be the third derivative of -q**7/70 + 9*q**6/4 - 405*q**5/4 + 327*q**2. Find d, given that o(d) = 0.
0, 45
Factor -13/3*q**4 - 124/3*q + 118/3*q**2 - 7*q**3 + 4/3*q**5 + 8.
(q - 2)**3*(q + 3)*(4*q - 1)/3
Let d(t) be the third derivative of -t**5/15 + 74*t**4/3 - t**2 + 25. Suppose d(r) = 0. What is r?
0, 148
Let r(p) be the second derivative of -2/3*p**3 - 1/20*p**5 - 12*p + 0*p**2 + 0 + 1/3*p**4. Find x, given that r(x) = 0.
0, 2
Let r(m) be the third derivative of 4/255*m**5 + 1/2856*m**8 + 2/595*m**7 + 0*m + 0*m**4 + 23*m**2 + 0*m**3 + 0 + 1/85*m**6. Factor r(w).
2*w**2*(w + 2)**3/17
Factor 15/7*p - 12/7 + 9/7*p**2 - 15/7*p**3 + 3/7*p**4.
3*(p - 4)*(p - 1)**2*(p + 1)/7
Factor 418*k**5 + 90*k**4 + 645*k**3 + 419*k**5 + 4080*k + 2880 + 2300*k**2 - 832*k**5.
5*(k + 3)**2*(k + 4)**3
Suppose -4*a = 4*h - 24, 0*a + 2*h - 11 = -a. Let y be -1 - -10*(-3)/(-6). Determine w so that 4*w**3 - w**y + w + 1 - w**4 + a - 5*w = 0.
-1, 1
Let c = -58 + 61. Suppose -3*x - 4*t + 10 = 0, 0*t - 5*t - c = -4*x. Determine u so that 32/5*u**3 + 4/5*u - 22/5*u**x - 14/5*u**4 + 0 = 0.
0, 2/7, 1
Let x(j) be the third derivative of 0 - 1/12*j**3 + 10*j**2 - 1/60*j**6 + 1/60*j**5 + 1/24*j**4 + 1/336*j**8 - 1/420*j**7 + 0*j. Let x(s) = 0. Calculate s.
-1, 1/2, 1
Let 0 + 52/3*o**2 + 25/3*o**3 + 4/3*o = 0. Calculate o.
-2, -2/25, 0
Let y = 53 + -8. Suppose -9*b + 0*b + y = 0. Solve 0 + 0*k**4 + 1/5*k + 0*k**2 - 2/5*k**3 + 1/5*k**b = 0 for k.
-1, 0, 1
Let x be (-2)/(-3) + (-8)/12. Suppose 5*b - 15 + 5 = x. Suppose 16*n**4 + 21*n**4 - 33*n**4 + 4*n - 4*n**b + 8 - 4*n**3 - 8*n**2 = 0. Calculate n.
-1, 1, 2
Suppose 1 = 5*p - 9. Let -2*i**4 + i**4 + 9*i**3 - 9*i - p*i**4 - 3*i**2 + 6 = 0. Calculate i.
-1, 1, 2
Suppose -c + 6 + 0 = 0. Let r = -8 + c. Let z(d) = -d**3 + d**2 - d - 1. Let a(o) = o**3 + 11*o**2 - 27*o + 21. Let b(l) = r*a(l) - 6*z(l). Factor b(p).
4*(p - 3)**2*(p - 1)
Factor m**5 + m**5 - 88*m**2 + 94*m**2 + 27*m + 12 - 24*m**3 - 5*m**5 - 18*m**4.
-3*(m - 1)*(m + 1)**3*(m + 4)
Let u be 1*(-4)/(-2) + 780/(-1040). Solve 1/4*c**2 - u - c = 0 for c.
-1, 5
Let l(k) be the third derivative of -9*k**7/280 + 3*k**6/20 + k**5/10 - k**4 - 2*k**3 + 4*k**2 - 1. Suppose l(h) = 0. Calculate h.
-2/3, 2
Let x(j) = -6*j**2 - 3 + 4 - 6*j + 2*j**2 + 3*j**2. Let i be x(-6). Factor 0*a**4 - i + a**2 + 4*a**4 - 5*a**3 + 1.
a**2*(a - 1)*(4*a - 1)
Suppose 0 = 3*v - 191 - 217. Suppose 3*a = r - 22, -2*a = -4*r - 6*a + v. Factor 71*b - 34*b**4 + 9*b + r*b**3 + 89*b**3 - 2*b**4 - 16 - 148*b**2.
-4*(b - 1)**2*(3*b - 2)**2
Let i(k) be the first derivative of 0*k**2 + 8*k**4 + 0*k + 6 - 4*k**5 + 2/3*k**6 - 16/3*k**3. Determine s, given that i(s) = 0.
0, 1, 2
Let c(u) = -3*u**2 - 75*u - 70. Let g(n) = -11*n**2 - 300*n - 280. Let y(a) = 9*c(a) - 2*g(a). Let y(b) = 0. Calculate b.
-14, -1
Suppose 28*f + 22*f = 250. Let d(h) be the third derivative of 0 - 1/20*h**f - 1/112*h**8 + 0*h**3 - 6*h**2 - 3/40*h**6 - 3/70*h**7 + 0*h + 0*h**4. Factor d(o).
-3*o**2*(o + 1)**3
Let o(i) = -i**5 - i**4 - i**3 - i**2 + i + 1. Let u(k) = -k**5 - 11*k**4 - 71*k**3 - k**2 + 246*k + 186. Let q(d) = -6*o(d) + u(d). Find g such that q(g) = 0.
-2, -1, 3
Let h(f) be the first derivative of 3*f**4/4 + 3*f**3 - 9*f**2 - 24*f - 487. Solve h(p) = 0 for p.
-4, -1, 2
Let i(f) be the second derivative of f**4/15 - 12*f**3/5 - 5*f + 45. Find h, given that i(h) = 0.
0, 18
Let u = 577215 + -247625384/429. Let t = -2/143 - u. Factor -a**2 + t*a**3 - 1/3 + a.
(a - 1)**3/3
Let q(v) = 3*v**2 + 7*v. Let r be 2/(-5) - (-12)/5. Let o = 1 - 34. Let a(j) = 48*j**2 + 111*j. Let p(z) = o*q(z) + r*a(z). Suppose p(k) = 0. What is k?
-3, 0
Let y = 41/105 - -1/105. Let l(g) be the second derivative of 0 + y*g**5 - 5/6*g**4 - 4*g + 2/3*g**3 - 1/15*g**6 + 0*g**2. Factor l(z).
-2*z*(z - 2)*(z - 1)**2
Let q(h) be the third derivative of -h**5/300 - 7*h**4/120 + 4*h**3/15 - 58*h**2. Factor q(b).
-(b - 1)*(b + 8)/5
Suppose 2*t + 0*s - 20 = s, -s = 5*t - 43. Factor -t*l + 0*l**5 + l - 4*l**5 + 20*l**4 - 36*l**3 + 5*l**2 + 23*l**2.
-4*l*(l - 2)*(l - 1)**3
Let q be -9 + (-95)/(-15) - -3. Let n(t) be the first derivative of -1/2*t**4 + q*t**6 + 0*