*4 + 17/5*p**3 + 9*p**2 + 43/5*p.
(p + 1)**3*(p + 14)/5
Let m(k) be the third derivative of -15*k**8/112 + 55*k**7/14 - 389*k**6/12 + 77*k**5/6 + 645*k**4/8 + 135*k**3/2 + 2*k**2 + 47*k. What is v in m(v) = 0?
-1/3, 1, 9
Let a(m) = 2*m**4 + 18*m**3 + 45*m**2 + 49*m + 25. Let b(l) = -l**4 - 9*l**3 - 23*l**2 - 25*l - 12. Let s(h) = -4*a(h) - 10*b(h). Factor s(p).
2*(p + 1)**2*(p + 2)*(p + 5)
Let f be 596/(-120) - (-15)/((-15)/(-5)). Let a(l) be the second derivative of 1/30*l**6 + f*l**5 + 1/6*l**2 + 0 + 5*l - 1/9*l**3 - 1/9*l**4. Factor a(v).
(v - 1)*(v + 1)**2*(3*v - 1)/3
Let x(l) be the first derivative of 2*l**5/45 - l**4/6 - 8*l**3/27 + 215. Factor x(d).
2*d**2*(d - 4)*(d + 1)/9
Let z be 79/(-4) - (-12)/16. Let r = z + 23. Factor -2 - 1 - 17*q**3 + 6*q + 5*q**r - 2*q**4 + 11*q**3.
3*(q - 1)**3*(q + 1)
Let l(k) be the first derivative of k**4/4 + k**3 + k**2/2 + k - 7. Let x be l(-2). Factor 0 - 1/2*f**x - 9/2*f + 3*f**2.
-f*(f - 3)**2/2
Let t(k) be the first derivative of -1/2*k**2 + 1/9*k**3 + 0*k - 26. Factor t(a).
a*(a - 3)/3
Let n(p) be the first derivative of -p**6/120 + p**4/2 - 2*p**3 - 2. Let y(c) be the third derivative of n(c). Factor y(v).
-3*(v - 2)*(v + 2)
Let j(d) be the third derivative of 45*d**2 + 0*d + 8/3*d**3 + 2/3*d**4 + 1/15*d**5 + 0. Factor j(g).
4*(g + 2)**2
Let p(q) = q**2 - 8*q - 6. Let a be p(9). Suppose -13 = -5*d - a. Find t such that -10*t - d*t - 5 - 8*t**2 + 1 = 0.
-1, -1/2
Let n(r) be the third derivative of 343*r**6/40 + 147*r**5/2 + 525*r**4/2 + 500*r**3 + 106*r**2. Determine x so that n(x) = 0.
-10/7
Let z = -40 - -45. Suppose -5*p - 25 = 0, -4*c = -z*p + 3*p - 10. Suppose c - 8/7*s - 8/7*s**2 - 2/7*s**3 = 0. Calculate s.
-2, 0
Suppose 5 = 4*t - 11. Factor 1 + a**2 + t*a - 6 + 9.
(a + 2)**2
Suppose 0 = 3*c + 4*f - 89, -3*c + 5*f - 40 + 165 = 0. Let c*i**2 - 75*i - 15*i**2 - 16*i**2 - 21*i + 576 = 0. What is i?
12
Let b(h) = h**3 - 9*h**2 - 9*h - 11. Let r be b(10). Let o be -4*4/(48/(-15)) + r. Find j, given that -2/5*j + 6/5*j**2 + 2/5*j**3 - 2/5*j**o - 4/5 = 0.
-1, 1, 2
Let u = 4 - 2. Suppose p + u = 2*p. Factor l**3 + l - p*l**3 + 0*l**3.
-l*(l - 1)*(l + 1)
Let k(u) be the first derivative of -u**4/8 + u**3 + 15*u**2/4 + 4*u - 63. Determine s, given that k(s) = 0.
-1, 8
Suppose -9 = 5*v - 8*v. Suppose 5*l - 6 = v*t - 0, -30 = -5*t - 5*l. Find r, given that 4*r + 26*r**3 + 4*r**2 + 23*r**t - 32*r**2 = 0.
0, 2/7
Let i(a) be the third derivative of -a**7/455 - a**6/78 - 3*a**5/130 - a**4/78 + 521*a**2. Let i(v) = 0. Calculate v.
-2, -1, -1/3, 0
Let x be 8 - (-266)/(-57)*10*12/98. Find k, given that 36/7*k**2 - 10/7*k**4 + x - 8*k + 2*k**3 = 0.
-2, 2/5, 1, 2
Suppose -1 + 17 = 4*w. Suppose 9 = -n + w*n. What is v in -14*v + 2*v**2 - 1 - n*v**2 + 12*v = 0?
-1
Let t be 0*4/(-16)*(-8 + 9). Let r(u) be the third derivative of 1/70*u**7 + 1/10*u**5 + t*u - 2*u**2 + 0*u**4 + 0 + 3/40*u**6 + 0*u**3. Factor r(d).
3*d**2*(d + 1)*(d + 2)
Factor -3*j**2 + 13 + 87*j + 5 + 11*j**2 + 19*j**2.
3*(j + 3)*(9*j + 2)
Suppose 2*v - 2*a + 6 = 7*v, a - 8 = -5*v. Determine b so that -4 + b**3 + 7*b**4 + 3*b**4 - b**2 - 15*b**3 + 14*b - 5*b**v = 0.
-1, 2/5, 1
Suppose -45*p + 195 = 20*p. Factor -7*r**2 + p*r**3 - 1 - 17/3*r.
(r - 3)*(3*r + 1)**2/3
Let q(a) = a**3 + 12*a**2 - 14*a - 13. Let z be q(-13). Let k(o) be the third derivative of 1/100*o**5 - 2/5*o**3 + 0*o**4 + z*o - 7*o**2 + 0. Factor k(t).
3*(t - 2)*(t + 2)/5
Let o(y) be the first derivative of y**5/120 + y**4/72 - y**3/18 - 20*y + 12. Let t(h) be the first derivative of o(h). Suppose t(j) = 0. Calculate j.
-2, 0, 1
Let c(l) be the first derivative of 2*l**6/3 - 8*l**5 + 39*l**4 - 296*l**3/3 + 136*l**2 - 96*l + 450. Suppose c(k) = 0. What is k?
1, 2, 3
Suppose -1/3*i**3 - 20/3*i**2 + 0 - 100/3*i = 0. What is i?
-10, 0
Let h be (54/(-378))/((-2)/6). Let 3/7*x**3 - 12/7*x - 12/7*x**2 + 0 + h*x**4 = 0. What is x?
-2, -1, 0, 2
Suppose 2/5*a**3 - 4*a + 14/5*a**2 - 32/5 = 0. What is a?
-8, -1, 2
Let r(j) be the second derivative of 1/15*j**6 + 1/21*j**7 + 0*j**2 + 0*j**5 + 0*j**4 + 0 + 14*j + 0*j**3. Let r(m) = 0. What is m?
-1, 0
Let 5/8*d**2 + 3/8*d**3 + 15/8 - 47/8*d = 0. Calculate d.
-5, 1/3, 3
Let z(o) = -2. Let h(v) = -2*v + 13. Let s(k) = 2*h(k) - 4*z(k). Let u be s(8). Find x, given that 2*x**u + 2*x + 63/2*x**5 - 2*x**4 - 67/2*x**3 + 0 = 0.
-1, -2/9, 0, 2/7, 1
Let g be (4 + -3)/(1 - (-1782)/(-1789)). Let x = g + -255. Factor -6/7*a - x + 2/7*a**3 + 0*a**2.
2*(a - 2)*(a + 1)**2/7
Let d = 131 + -122. Let n(l) be the third derivative of 0*l**5 + 0*l - 1/420*l**7 + 0*l**3 - 1/240*l**6 + 0*l**4 + 0 + d*l**2. Factor n(g).
-g**3*(g + 1)/2
Find r, given that 5*r**2 - 243*r - r**3 - 12*r**2 - 20*r**2 - 429 - 300 = 0.
-9
Let f(s) be the second derivative of s**6/30 - 3*s**5/20 - s**4/2 + 14*s**3/3 - 12*s**2 - 473*s - 2. Factor f(l).
(l - 2)**3*(l + 3)
Suppose -6*u - 3*u**2 - 42*u - 15*u - 12*u + 348 = 0. Calculate u.
-29, 4
Let u be (-61 - -54) + (-701)/(-100). Let v(i) be the second derivative of -u*i**5 - 5*i - 1/60*i**4 + 0*i**3 + 0*i**2 + 0. Factor v(m).
-m**2*(m + 1)/5
Suppose 64*x**3 - 3 + 20*x**2 - 5*x**4 + 3 - 60*x - 91*x**3 + 42*x**3 = 0. Calculate x.
-2, 0, 2, 3
Let o(q) = -8*q**2 - 8*q. Let d(r) = 17*r**2 + 16*r. Suppose 34 = -2*a + 60. Let u(g) = a*o(g) + 6*d(g). Let u(n) = 0. Calculate n.
-4, 0
Suppose 6*y - 1545 + 123 = 0. Let z be -4 - y/(-63) - (-4)/6. Factor 1/7*d**2 + 3/7*d**4 + z*d**3 + 1/7*d**5 + 0*d + 0.
d**2*(d + 1)**3/7
Let f(y) = -y**3 + 11*y**2 + 2*y + 8. Let x be f(11). Determine r so that 1772*r**2 + 5 - x*r - 1772*r**2 + 160*r**3 = 0.
-1/2, 1/4
Suppose -432 = -10*j - 52. Let t = -38 + j. Determine a, given that 0*a**4 - 3/5*a**5 - 3/5*a + 0*a**2 + t + 6/5*a**3 = 0.
-1, 0, 1
Let 0 + 62*b - 2/3*b**2 = 0. Calculate b.
0, 93
Let p be (-4)/(-5 - (-3 - 0)). Solve 4*v**5 + 14*v**4 - 16*v**3 - 22*v**4 - 4*v**p + v**2 + 11*v**2 + 12*v = 0 for v.
-1, 0, 1, 3
Let g(n) be the third derivative of -n**5/12 + 5*n**4/8 + 59*n**2 + 2. Let g(b) = 0. What is b?
0, 3
Let m(w) be the first derivative of -6 - 6*w - 14/9*w**3 - 1/6*w**4 - 5*w**2. Suppose m(a) = 0. What is a?
-3, -1
Let g = 11 + -6. Let j = 8 - g. Let -8*d**5 + 2*d - 15*d**2 - 35*d**4 + 17*d**j + 20*d**5 + 27*d**3 - 8*d**3 = 0. Calculate d.
0, 1/4, 2/3, 1
Let g be 4/(-12) - (-1)/(30/22). Let -2*s**2 - 6/5*s - g*s**3 + 18/5 = 0. What is s?
-3, 1
Factor 17 - 28*r + 0*r**5 + 0*r**4 - r**5 - 25 - 38*r**2 - 25*r**3 - 8*r**4.
-(r + 1)**2*(r + 2)**3
Let w be -8 + 8 - (2 + -3). Let r(h) = -h**2. Let z(l) = -10*l**2 - 4*l - 6. Let q(s) = w*z(s) - 12*r(s). Determine k so that q(k) = 0.
-1, 3
Factor 0 - 2/13*n**3 - 8/13*n - 10/13*n**2.
-2*n*(n + 1)*(n + 4)/13
Let -5 - 37*c - 51*c**3 + 5 - 33*c - 3 + 13*c - 105*c**2 = 0. What is c?
-1, -1/17
Let o = 8762/7 + -1250. Factor o + 3/7*a**2 - 12/7*a.
3*(a - 2)**2/7
Let p(d) = d**2 + 2*d - 2. Let f be p(4). Suppose -5*k + 3 = -f. Factor -8*g**2 + k*g**2 + g**4 + 2*g**4.
3*g**2*(g - 1)*(g + 1)
Let o be 2*((-20)/(-18))/2. Suppose -3*z - 3*h - 21 = 2*h, 18 = -2*z - 4*h. Suppose -8/9 - 2/9*v**z - 16/9*v - o*v**2 = 0. What is v?
-2, -1
Let i(c) be the third derivative of -1/660*c**6 - 16*c**2 - 2/165*c**5 + 1/132*c**4 + 0*c + 0 + 4/33*c**3. Find o, given that i(o) = 0.
-4, -1, 1
Let y(f) = 4*f**4 + 20*f**3 + 18*f**2 - 20*f - 16. Let a(k) = -9*k**4 - 40*k**3 - 37*k**2 + 40*k + 31. Let w(s) = 2*a(s) + 5*y(s). Factor w(g).
2*(g - 1)*(g + 1)**2*(g + 9)
Let t be (3/(45/(-145)))/(76/(-24)). Let -48/19*m - 18/19*m**3 - 8/19 - t*m**2 = 0. Calculate m.
-2, -1, -2/9
Let w(k) be the second derivative of k**6/2700 + k**5/300 + k**4/90 - 9*k**3/2 + 14*k. Let a(s) be the second derivative of w(s). Factor a(m).
2*(m + 1)*(m + 2)/15
Let k(w) = 8*w**2 - 36*w - 84. Let y(b) = -b**2 - b - 2. Let x(z) = k(z) + 12*y(z). Factor x(t).
-4*(t + 3)*(t + 9)
Let h(g) be the first derivative of -3*g**5/5 + g**4/3 + 4*g**3/3 + 2*g - 5. Let v(f) be the first derivative of h(f). Let v(y) = 0. What is y?
-2/3, 0, 1
Let g = 777 + -777. Let b(q) be the first derivative of 1/2*q**2 + 5 + q**3 + 1/5*q**5 + 3/4*q**4 + g*q. Find y such that b(y) = 0.
-1, 0
Factor 8165*z + 0 + 810*z**2 + 0 - 62840*z - 3*z**3.
-3*z*(z - 135)**2
Let v = -2414 - -4975/2. What is k in 63/2*k**3 + 6*k + 36*k**2 + 0 - v*k**4 = 0?
-2/7, 0