et l(a) = 0. Calculate a.
-8, 0
Let m(l) be the second derivative of 0 - 1/36*l**3 - 1/72*l**4 + 1/6*l**2 + 6*l. Let m(i) = 0. What is i?
-2, 1
Let x = 1334 - 12001/9. Suppose x*n**2 - 4/9 + 4/9*n - 1/3*n**3 = 0. Calculate n.
-1, 2/3, 2
Let v(s) be the first derivative of s**8/1344 - s**6/480 + s**2/2 + 12. Let m(w) be the second derivative of v(w). Solve m(b) = 0.
-1, 0, 1
Let p be (28/8 + -4)/((-2)/12). Let w(b) be the first derivative of 1/12*b**4 - 3 + 0*b + 2/3*b**2 + 4/9*b**p. Determine g, given that w(g) = 0.
-2, 0
Let o(r) be the second derivative of r**7 + 13*r**6/10 - 129*r**5/20 - 11*r**4/4 + 29*r**3/2 - 3*r**2 + 59*r + 1. What is q in o(q) = 0?
-2, -1, 1/14, 1
Let v(g) = 31*g**2 + 75*g - 124. Let s(p) = 25*p**2 + 75*p - 125. Let i(u) = -6*s(u) + 5*v(u). Let i(a) = 0. What is a?
2, 13
Factor -18 - 15*j - 15*j**2 - 24 + 18*j**2.
3*(j - 7)*(j + 2)
Let 2/5*f**3 + 1/5*f**4 + 0 + 0*f + 1/5*f**2 = 0. Calculate f.
-1, 0
Let y(m) be the second derivative of m**7/14 + m**6 + 27*m**5/5 + 27*m**4/2 + 27*m**3/2 + 2*m + 15. Factor y(a).
3*a*(a + 1)*(a + 3)**3
Let x(l) be the first derivative of l**6/27 - 4*l**5/45 + l**4/18 - 197. Find i such that x(i) = 0.
0, 1
Let y = -464 - -469. Let n(p) be the first derivative of 0*p**3 - 1/18*p**6 + 0*p - 1/6*p**2 - 1 + 1/6*p**4 + 0*p**y. Let n(m) = 0. What is m?
-1, 0, 1
Suppose -4*i + 261 = 29. Suppose 13*m - i - 7 = 0. Factor 0 + 2/7*q**4 + 2/7*q**3 - 2/7*q**m + 0*q - 2/7*q**2.
-2*q**2*(q - 1)**2*(q + 1)/7
Let a(o) be the third derivative of o**6/15 + 13*o**5/30 + o**4/3 - 4*o**3 + 2*o**2 - 3. Factor a(v).
2*(v + 2)**2*(4*v - 3)
Let h(f) be the first derivative of -f**6/495 + f**5/220 + f**4/132 + 13*f**3/3 + 19. Let j(t) be the third derivative of h(t). Factor j(r).
-2*(r - 1)*(4*r + 1)/11
Let a(o) = -o**2 - 33*o - 90. Let q be a(-30). Let w(y) be the third derivative of 0*y + 2/15*y**3 + 0*y**4 - 1/75*y**5 + q + 6*y**2. Factor w(t).
-4*(t - 1)*(t + 1)/5
Let q = -2 + 5. Let o(p) = p. Let c(l) = l**2 + 8. Let u(k) = 1. Let i(m) = -c(m) + 4*u(m). Let j(r) = q*i(r) - 12*o(r). Factor j(z).
-3*(z + 2)**2
Let d(a) be the third derivative of a**6/24 - 3*a**5/4 - 233*a**2. Solve d(n) = 0 for n.
0, 9
Let v = -1867/5 - -375. Let x = v + -17/20. Solve -x*f**3 + 0*f**2 + 0 + 0*f + 3/2*f**4 - 3/4*f**5 = 0.
0, 1
Factor 21*h - 8 + 11*h + 8*h**2 + 10*h**2.
2*(h + 2)*(9*h - 2)
Let o(l) be the second derivative of l**6/210 - l**5/140 - 3*l**4/28 - 11*l**3/42 - 2*l**2/7 - 89*l + 1. Factor o(i).
(i - 4)*(i + 1)**3/7
Let r(m) be the second derivative of 117/20*m**4 + 1/10*m**6 + 14*m - 81/5*m**2 + 0 + 81/10*m**3 + 129/100*m**5. Let r(w) = 0. What is w?
-3, 2/5
Find j, given that -22/3 + 1/3*j**2 - 3*j = 0.
-2, 11
Let i(l) be the second derivative of l**5/70 + 13*l**4/21 + 20*l**3/3 - 56*l**2 - 118*l. Let i(r) = 0. What is r?
-14, 2
Let v = -1184 + 5924/5. Factor -4/5*o - v + 4/5*o**3 + 1/5*o**4 + 3/5*o**2.
(o - 1)*(o + 1)*(o + 2)**2/5
What is p in -686/5*p**3 - 42/5*p + 294/5*p**2 + 2/5 = 0?
1/7
Let f(d) be the first derivative of d**3 - 24*d**2 + 192*d - 151. Factor f(l).
3*(l - 8)**2
Let c(y) be the third derivative of -y**8/560 - y**7/56 - y**6/15 - y**5/10 - 11*y**3/6 + y**2. Let g(k) be the first derivative of c(k). Solve g(x) = 0.
-2, -1, 0
Let k(f) be the third derivative of f**8/1680 - f**7/175 - f**6/60 + 13*f**5/75 + 7*f**4/8 + 5*f**3/3 + 717*f**2. Let k(r) = 0. Calculate r.
-2, -1, 5
Suppose -2*t = -4*n + 22, 2*t = -4*n + 5 - 3. Suppose n*j + 5*x = x - 6, 5*x = -15. Suppose -4*f**3 - 3*f + 7*f**2 + f - 5*f**2 + 3*f**j + f**4 = 0. What is f?
0, 1, 2
Let n(p) be the first derivative of -3*p**7/28 + 7*p**6/40 + 3*p**5/80 - p**4/8 + 9*p - 12. Let a(q) be the first derivative of n(q). Find h such that a(h) = 0.
-1/2, 0, 2/3, 1
Let z = -56 + 59. Let v(h) = -605*h**3 + 990*h**2 + 420*h + 37. Let o(p) = 1210*p**3 - 1980*p**2 - 840*p - 75. Let y(r) = z*o(r) + 5*v(r). Factor y(m).
5*(m - 2)*(11*m + 2)**2
Let k(p) be the first derivative of 5*p**2 + 2/3*p**3 - 4 + 8*p. Determine r, given that k(r) = 0.
-4, -1
Let h(j) = -j**3 + j**2 + 6*j + 4. Let v be h(3). Factor -15*o**4 - 4*o**5 + v*o**3 + 8*o**5 + 23*o**4.
4*o**3*(o + 1)**2
Let v(w) = 20*w**2 - 7*w. Let i(q) be the second derivative of 7*q**4/12 - q**3/3 - 5*q. Let k(z) = -11*i(z) + 4*v(z). What is n in k(n) = 0?
0, 2
Let x(f) be the first derivative of 3*f**6 + 213*f**5/5 + 207*f**4 + 336*f**3 - 96*f**2 - 5. Factor x(k).
3*k*(k + 4)**3*(6*k - 1)
Suppose 23*x + 21*x = 47*x. Factor x - 2/9*z - 2/9*z**2.
-2*z*(z + 1)/9
Let m(u) = -u**4 + u**2 - 1. Suppose -15 = 2*s - 13. Let n(i) = 8*i**4 + 6*i**3 - 5*i**2 - 6*i + 2. Let d(g) = s*n(g) - 5*m(g). Solve d(z) = 0 for z.
-1, 1
Let u(x) = -572*x + 282*x + 53 + 288*x. Let m be u(25). Find y, given that -3/4 - 7/4*y - 1/4*y**m - 5/4*y**2 = 0.
-3, -1
Find r such that -225/4 - 1/4*r**2 + 15/2*r = 0.
15
Let j(y) be the first derivative of -y**5/10 - 37*y**4/8 + 482. Factor j(w).
-w**3*(w + 37)/2
Let c(s) = -s**2 - 7*s - 1. Let q(h) = 3*h**2 + 155*h - 140. Let j(w) = 2*c(w) + q(w). Suppose j(d) = 0. Calculate d.
-142, 1
Let q(y) be the first derivative of y**6/72 + y**5/24 + 10*y**3/3 - 13. Let i(m) be the third derivative of q(m). Find c, given that i(c) = 0.
-1, 0
Solve 0 - 266/15*k**2 - 134/15*k + 4/15*k**3 = 0.
-1/2, 0, 67
Find s, given that -22/9*s**3 + 16/3 + 88/9*s + 4/3*s**2 - 2/3*s**4 = 0.
-3, -2, -2/3, 2
Let v(h) = 16*h + 32. Let n be 20/(-12) + (-4)/12. Let p be v(n). Solve p*b + 0*b**2 + 9/2*b**4 - 3/2*b**3 + 0 = 0.
0, 1/3
Let 594*c**3 + 327*c**4 - 586*c + 610*c - 252*c**2 + 36*c**4 = 0. What is c?
-2, 0, 2/11
Factor 6/11*c**2 + 0 - 2/11*c**3 + 0*c.
-2*c**2*(c - 3)/11
Let u(b) be the first derivative of -15/4*b**4 + 0*b + 14 - b**5 - 25/2*b**2 + 15*b**3. What is w in u(w) = 0?
-5, 0, 1
Suppose -3*i + 39 = -5*v + 3*v, 3*v + 31 = -i. Let r = v + 14. Suppose 0 + 2/5*p**r - 1/5*p - 1/5*p**3 = 0. Calculate p.
0, 1
Let x(n) be the first derivative of -3*n**4/4 + 37*n**3 - 540*n**2 + 972*n + 30. Factor x(u).
-3*(u - 18)**2*(u - 1)
Let c(m) = -3*m - 2. Let t be c(2). Let g = t - -11. Let -1 - s**3 - 12*s + 2 + 6*s**2 + g + 4 = 0. Calculate s.
2
Let z = -23201 - -23228. Factor 0 + 1/3*t**3 - 6*t**2 + z*t.
t*(t - 9)**2/3
Solve 3/2 - 1/2*d**3 - 3/2*d**2 + 1/2*d = 0 for d.
-3, -1, 1
Let -288 - 145*x**3 + 6*x**4 + 14*x + 82*x - 3*x**5 - 8*x**3 + 6*x**3 + 198*x**2 + 30*x**4 = 0. What is x?
-1, 2, 3, 4
Suppose 8 + 0 = 2*g + 3*u, 2*u = 3*g + 1. Let a be -4*g*(-4)/8. Find s, given that -22 + 4*s + 20 - s - a*s**3 + s**3 = 0.
-2, 1
Let m = -4141/24780 + 10/59. Let f(a) be the third derivative of -m*a**6 + 0*a**3 - 1/42*a**4 + 0 + 0*a + 1/70*a**5 - a**2. Solve f(s) = 0 for s.
0, 1, 2
Let x = 1951/525 + -81/25. Let o(k) be the second derivative of 0 - 5/6*k**4 - x*k**7 - 3/5*k**5 + 0*k**2 + 19/15*k**6 + 11*k + 2/3*k**3. Solve o(n) = 0 for n.
-1/2, 0, 2/5, 1
Let v(r) be the second derivative of r**4/66 + 10*r**3/33 + 9*r**2/11 - 36*r - 1. Factor v(a).
2*(a + 1)*(a + 9)/11
Let q(h) be the third derivative of 0*h**5 + 1/24*h**6 + 0*h**3 + 0*h**4 + 1/42*h**7 + 0 - 3*h**2 + 0*h. Determine b, given that q(b) = 0.
-1, 0
Suppose 78/19*s**2 + 4394/19 - 1014/19*s - 2/19*s**3 = 0. What is s?
13
Factor -1/4*m**4 + m**3 - 3/4*m**2 + 0*m + 0.
-m**2*(m - 3)*(m - 1)/4
Let c(s) be the second derivative of 1/120*s**6 + 1/48*s**4 + 1/8*s**3 + 0 - 1/4*s**2 - 10*s - 3/80*s**5. Factor c(p).
(p - 2)*(p - 1)**2*(p + 1)/4
Suppose 17*m - 30 - 55 = 0. Let r(w) be the second derivative of 0*w**3 + 1/15*w**6 - w + 1/3*w**4 + 0*w**2 + 0 - 3/10*w**m. Let r(f) = 0. What is f?
0, 1, 2
Let l be (12*(-2)/(-10))/(7/35). Solve 0*g - 3*g**2 - 2*g + 5*g + 12*g - l = 0.
1, 4
Let o = 286/2471 - 367442/27181. Let h = -138/11 - o. Factor -h*p + 4/7 - 10/7*p**2.
-2*(p + 1)*(5*p - 2)/7
Let j(i) be the second derivative of 0 + 0*i**2 - 1/3*i**4 + 0*i**3 + 2/5*i**5 - 2*i - 2/15*i**6. Factor j(r).
-4*r**2*(r - 1)**2
Let h(j) = -4*j**3 - j**2 - 23*j + 7. Let r(i) = -i**3 - 7*i + 2. Let t(s) = -4*h(s) + 14*r(s). Solve t(o) = 0.
-3, 0, 1
Let s = 1358/5949 - 4/661. Suppose 0 + 0*y - 2/9*y**2 + 8/9*y**3 - 8/9*y**5 + s*y**4 = 0. Calculate y.
-1, 0, 1/4, 1
Solve 4/7 + 6/7*h + 0*h**2 - 2/7*h**3 = 0.
-1, 2
Solve 0 + 0*p + 0*p**2 + 5*p**4 - 5/2*p**5 + 0*p**3 = 0.
0, 2
Factor -31*a - 203*a**3