nd derivative of 64*p**7/63 - 16*p**6/15 - 79*p**5/30 + 47*p**4/18 + 5*p**3/3 + p**2/3 + 166*p. What is n in f(n) = 0?
-1, -1/8, 1
Let m(d) be the third derivative of -1/12*d**4 + 0*d + 0 + 1/2*d**3 - 1/120*d**5 + 1/360*d**6 + 4*d**2. Let g(a) be the first derivative of m(a). Factor g(u).
(u - 2)*(u + 1)
Find d, given that 4/7*d**2 + 0 - 4/7*d**3 + 48/7*d = 0.
-3, 0, 4
Let q(n) be the first derivative of n**3/12 - 71*n**2/8 + 69*n/2 - 484. Factor q(f).
(f - 69)*(f - 2)/4
Let d(v) = v**2 - 144*v - 413. Let l(w) = -48*w - 140. Let h(b) = 4*d(b) - 11*l(b). Let h(m) = 0. What is m?
-2, 14
Let j(o) be the first derivative of o**5/35 + o**4/7 - o**3/21 - 2*o**2/7 + 197. Let j(p) = 0. Calculate p.
-4, -1, 0, 1
Let 0 + 1/2*s**3 + 0*s + 15/2*s**2 = 0. Calculate s.
-15, 0
Let l be 2/(-2 + (-48)/(-28)). Let b = 10 + l. Find p, given that -7*p**5 - 12*p**4 - 3*p**b + 5*p**5 - 7*p**5 = 0.
-1, -1/3, 0
Let s = 293 + -293. Let x(b) be the first derivative of -5/6*b**4 + 0*b - 9 + 4/9*b**3 + s*b**2 + 4/15*b**5. Factor x(g).
2*g**2*(g - 2)*(2*g - 1)/3
Let c be 3 - (1 - 0 - (-970)/1464). Let o = -1/244 + c. Let o*r**2 - 1/3*r**3 - 5/3*r + 2/3 = 0. Calculate r.
1, 2
Let g(k) be the third derivative of k**5/60 + 11*k**4/6 + 43*k**3/6 - 86*k**2 + 1. Suppose g(w) = 0. Calculate w.
-43, -1
Factor 30/7*u + 2/7*u**3 - 2 - 18/7*u**2.
2*(u - 7)*(u - 1)**2/7
Let l be 16540/17367*(0 + (-6)/(-4)). Find o such that -l*o**3 - 32/7 - 8*o - 1/7*o**4 - 36/7*o**2 = 0.
-4, -2
Suppose -134 = -4*p - 30. Determine f so that -12*f**4 + 5*f**3 + p*f**4 - 9*f**4 = 0.
-1, 0
Let i(l) be the third derivative of l**8/252 + 62*l**7/315 + 127*l**6/45 + 194*l**5/45 - 85*l**4/6 - 50*l**3 - 27*l**2. Solve i(r) = 0.
-15, -1, 1
Suppose -119 = -283*c + 140 + 307. Let -20/3 - 22/3*n - 2/3*n**c = 0. What is n?
-10, -1
Let r(g) = -g**3 + 142*g**2 - 5. Let x(u) = -72*u**2 + 2. Let h(p) = -2*r(p) - 5*x(p). Determine l so that h(l) = 0.
-38, 0
Let r(w) be the second derivative of -w**5/150 + w**3/15 - 7*w**2/2 + 5*w. Let i(u) be the first derivative of r(u). Factor i(t).
-2*(t - 1)*(t + 1)/5
Let t(z) be the first derivative of -2*z**5/25 + 14*z**3/15 - 6*z**2/5 - 631. Determine a so that t(a) = 0.
-3, 0, 1, 2
Let g(z) be the first derivative of z**7/840 + z**6/90 + z**5/24 + z**4/12 + 2*z**3 - 5. Let p(l) be the third derivative of g(l). Factor p(j).
(j + 1)**2*(j + 2)
Let b(c) be the second derivative of c**7/231 + c**6/165 - 4*c**5/55 - 2*c**4/11 + c + 15. Factor b(p).
2*p**2*(p - 3)*(p + 2)**2/11
Let q(l) = l**2 + 3*l - 5. Let d be q(-4). Let b be 0 + d + 32/4. Solve -20*z**3 + 4*z**5 - b*z**2 + 2*z**5 + 0 + 4 - 2*z**2 + 8*z - z**4 = 0 for z.
-1, -1/2, 2/3, 2
Let j(l) be the third derivative of l**5/240 - 23*l**4/48 + 529*l**3/24 + 5*l**2 + 3*l. Find g, given that j(g) = 0.
23
Factor 16 - 1/4*g**2 - 15/2*g.
-(g - 2)*(g + 32)/4
Let i(t) be the first derivative of 16 - 1/4*t**2 + 0*t + 1/18*t**3. Suppose i(l) = 0. What is l?
0, 3
Let t(k) = -5*k**3 + k**2 + 1. Let x(l) = -54*l**3 + 12*l**2 - 6*l + 11. Let q(z) = -22*t(z) + 2*x(z). What is i in q(i) = 0?
-3, 0, 2
Let p be (-44)/3*1140/(-627). Factor -115/3*r + p*r**3 + 200/3*r**2 + 5.
5*(r + 3)*(4*r - 1)**2/3
Suppose -2*u - 3*u + 3*j = -10, -2*j + 25 = 3*u. Let h = 50 - u. Let x**3 + h*x**2 + 2*x**5 - 16 - 41*x**2 - 24*x + 12*x**4 + 21*x**3 = 0. Calculate x.
-2, -1, 1
Let a be ((-1 + 2)/(-1))/(-1). Let b be a/(-12)*-3*-4. Let o(u) = -u**4 - 5*u**3 - u**2 + 3*u. Let d(x) = x**3 + 1. Let m(v) = b*o(v) - 2*d(v). Factor m(r).
(r - 1)*(r + 1)**2*(r + 2)
Let a be (24/14)/((-10)/(-35))*6/342. Suppose 8/19*p**4 - 2/19*p - 8/19*p**2 + 0 + a*p**3 = 0. What is p?
-1, -1/4, 0, 1
Let k(v) = -v**3 - 7*v**2 + 20*v + 19. Let z be k(-9). Let t be (-10)/(-2) - 2/z. Let -2/5 - 6/5*b**2 + 6/5*b + 2/5*b**t = 0. Calculate b.
1
Let b be 12/(-8)*(-20)/6. Let p be (-2)/5*(b + -10). Factor -73*k**2 + 75*k**2 - 4*k + p + 4*k + 4*k.
2*(k + 1)**2
Let q(n) be the third derivative of 2*n**5/15 + 47*n**4/6 + 46*n**3/3 + 2*n**2 - 38*n. Factor q(v).
4*(v + 23)*(2*v + 1)
Let t(l) be the first derivative of 4*l**5/5 + 22*l**4 + 148*l**3/3 - 1848*l**2 + 7056*l + 95. Factor t(j).
4*(j - 3)**2*(j + 14)**2
Factor 2/3*g - 1/3 + 0*g**2 - 2/3*g**3 + 1/3*g**4.
(g - 1)**3*(g + 1)/3
Suppose 0 = -o + 12 - 4. Let d = -4 + o. Factor -4*z + z + 2*z**3 - d*z**2 + 4*z + z.
2*z*(z - 1)**2
Let i(v) = v - 7. Let t be i(8). Let s be 96/30 + t/(-5). Suppose -k**5 - 1 - 7*k - k - 10*k**2 + k + 2*k - 5*k**4 - 10*k**s = 0. Calculate k.
-1
Let g(x) be the third derivative of x**5/660 - 23*x**4/264 + x**3/3 + 70*x**2. What is n in g(n) = 0?
1, 22
Suppose 2*r = -v - 36, 2*r - 4*r - 56 = -4*v. Let g = 24 + r. Let 0 - 3*u**2 - 1/4*u**g + 2*u + 3/2*u**3 = 0. What is u?
0, 2
Let d be (4 + 2)/(3/(-2)). Let g(t) = -5*t**2 - 2*t. Let a(p) = -8*p**2 - 4*p + 4*p**2 + 3*p. Let c(j) = d*a(j) + 3*g(j). Suppose c(o) = 0. What is o?
0, 2
Let q(l) be the third derivative of 0*l - 4*l**4 - 3*l**5 + 0 - 8/3*l**3 - 5/6*l**6 + l**2. Factor q(f).
-4*(f + 1)*(5*f + 2)**2
Let r be (-4)/5 + 2 - 162/135. Let z(q) = -3*q + 20. Let o be z(6). Factor r - 4/3*t + 4/3*t**o.
4*t*(t - 1)/3
Let p(u) be the third derivative of u**8/60480 + u**7/3024 + u**6/540 + 7*u**5/20 - 32*u**2. Let m(r) be the third derivative of p(r). Factor m(y).
(y + 1)*(y + 4)/3
Suppose 7*m - 36 + 15 = 0. Suppose m*y - 29 + 23 = 0. Factor 4/5*s**3 + 0*s**y - 4/5*s + 0.
4*s*(s - 1)*(s + 1)/5
Let b(t) be the second derivative of 0*t**3 + 16/5*t**5 - 2/3*t**7 + 2/3*t**6 + 0 + 0*t**2 - 32*t + 4/3*t**4. Suppose b(q) = 0. Calculate q.
-1, -2/7, 0, 2
Suppose -n = 0, a - 4*n = -0*n + 53. Let u = a + -475/9. Determine z, given that 10/9*z**2 - u*z**3 + 8/9 - 16/9*z = 0.
1, 2
Let l = 14768/35 + -2104/5. Factor 1/7*g**2 - 2/7*g + l*g**3 + 5/7*g**4 + 0.
g*(g + 1)**2*(5*g - 2)/7
Factor 0 - 1/5*b**2 - 36/5*b.
-b*(b + 36)/5
Let d(j) be the second derivative of 0*j**2 + 1/6*j**4 - 1/21*j**7 - 2*j - 2 + 1/10*j**5 + 0*j**3 - 1/15*j**6. Determine x, given that d(x) = 0.
-1, 0, 1
Let 2/5*i + 12/5 - 2/5*i**2 = 0. Calculate i.
-2, 3
Let u(h) = h**3 - 5*h**2 - 4*h + 1. Let f be u(6). Factor -56*d**5 + f*d**3 - 60*d**4 + 21*d**5 + 7*d**3.
-5*d**3*(d + 2)*(7*d - 2)
Suppose -26/9*z - 28/9*z**2 - 2/9*z**3 + 0 = 0. Calculate z.
-13, -1, 0
Let t be (-1 + 50/56)/((-39)/104). Determine j, given that 6/7 + 10/7*j + 2/7*j**2 - t*j**3 = 0.
-1, 3
Determine w so that -350/11*w**4 - 8/11 - 290/11*w**2 - 80/11*w - 98/11*w**5 - 470/11*w**3 = 0.
-1, -2/7
Suppose 106*x - 105*x + 2 = l, 5*l - 4*x - 9 = 0. Determine b, given that -1/2*b + l - 1/2*b**2 = 0.
-2, 1
Let z = -2570 + 2575. Let u(w) be the third derivative of 1/140*w**7 + 1/8*w**z + 1/8*w**4 + 0*w - 13*w**2 + 1/20*w**6 + 0*w**3 + 0. Factor u(c).
3*c*(c + 1)**2*(c + 2)/2
Let v be (-1 - (-3)/9) + (2 - (-12)/(-9)). Factor v*k**3 + 16/3*k**2 + 0*k - 2/3*k**4 - 32/3.
-2*(k - 2)**2*(k + 2)**2/3
Let m(d) be the third derivative of 0*d**5 + 1/40*d**4 - 4*d**2 - 1/600*d**6 + 4/3*d**3 + 0 + 0*d. Let b(z) be the first derivative of m(z). Factor b(p).
-3*(p - 1)*(p + 1)/5
Let j be 716/(-28) + 12/(-28). Let k = -26 - j. Factor 2/3*s + 1/3*s**2 + k.
s*(s + 2)/3
Let s(a) be the third derivative of a**8/40320 - a**7/5040 + 13*a**5/60 - 7*a**2. Let z(h) be the third derivative of s(h). Factor z(t).
t*(t - 2)/2
Let w(i) = i**2 + 93*i + 760. Let v be w(-9). Solve 1/3*j**2 + 12 + v*j = 0 for j.
-6
What is h in 2400*h - 185 + 5*h**2 + 2415*h - 4995*h = 0?
-1, 37
Let l(u) be the first derivative of 1/27*u**3 - 6 - 1/90*u**5 + 3*u + 1/54*u**4 - 1/9*u**2. Let q(s) be the first derivative of l(s). Let q(o) = 0. What is o?
-1, 1
Let -108/5 + 12/5*n**2 + 18/5*n - 2/5*n**3 = 0. What is n?
-3, 3, 6
Let b(c) = -19*c + 9. Let h be b(1). Let x be (-4)/h*((-111)/(-24) + -4). Suppose x*g**2 + 4 + 2*g = 0. What is g?
-4
Let c(l) be the second derivative of -l**7/70 + l**6/50 + 9*l**5/100 - l**4/4 + l**3/5 - 6*l + 3. Factor c(k).
-3*k*(k - 1)**3*(k + 2)/5
Suppose -5*x - 2 = -17. What is m in 8*m**3 + 23*m**4 - x - 13 - 108*m**2 - 20*m**4 - 96*m + 33*m**4 = 0?
-1, -2/9, 2
Let f(b) be the first derivative of -2*b**2 + 14/3*b**3 - 21 + 6/5*b**5 - 4*b**4 + 0*b. Suppose f(l) = 0. What is l?
0, 2/3, 1
Find k such that -27/2*k**5 - 957/2*k**3 - 279/2*k**4 - 90 - 1341/2*k**2 - 408*k = 0.
-5, -