vative of x**5/35 + 3*x**4/28 - x**3/7 - x**2/2 + 6*x/7 - 47. Factor o(c).
(c - 1)**2*(c + 2)*(c + 3)/7
Let u(l) = -5*l**4 + 3*l**3 - 4*l. Let y = 3 + -9. Let c(b) = -b**4. Let s(o) = y*c(o) + u(o). Factor s(x).
x*(x - 1)*(x + 2)**2
Let q(c) be the second derivative of c**8/6720 + c**7/840 + c**6/360 - c**4/3 + 4*c. Let b(d) be the third derivative of q(d). Let b(l) = 0. What is l?
-2, -1, 0
Let t(w) be the third derivative of -w**5/90 + 5*w**4/18 + 46*w**2. Solve t(o) = 0.
0, 10
Let x(t) be the third derivative of -3*t**6/40 - 5*t**5/12 - t**4/2 + 2*t**3/3 - 34*t**2. Factor x(j).
-(j + 1)*(j + 2)*(9*j - 2)
Let h(d) be the first derivative of d**3 - d**2/2 - 37. Factor h(u).
u*(3*u - 1)
Suppose -l - 5 = 0, -5*q + 49 = -4*l + 19. Factor -1/5*w**4 + 3/5*w**3 + 0*w - 2/5*w**q + 0.
-w**2*(w - 2)*(w - 1)/5
Let m(k) be the third derivative of -k**5/120 - k**4/3 - 16*k**3/3 + 36*k**2. Factor m(l).
-(l + 8)**2/2
Factor -7*y + 17*y**2 + 3*y**2 + 11*y + 11*y - 5.
5*(y + 1)*(4*y - 1)
Let q be 1 + 9*((-1)/(-6))/1. Let -2*g**2 - 1 - q*g - 1/2*g**3 = 0. What is g?
-2, -1
Let x(m) be the second derivative of -m**9/90720 + m**8/20160 + m**7/15120 - m**6/2160 - m**4/2 + 7*m. Let w(i) be the third derivative of x(i). Factor w(y).
-y*(y - 2)*(y - 1)*(y + 1)/6
Let s = 3 - 6. Let i be (-1)/s + (-5)/15. Solve 4*r**3 - 4*r + i*r**3 + 10*r**3 + 10*r**2 = 0.
-1, 0, 2/7
Let g(k) be the third derivative of -k**6/180 + k**5/15 - k**4/3 - k**3/3 + 4*k**2. Let u(h) be the first derivative of g(h). Let u(x) = 0. Calculate x.
2
Let r(z) be the first derivative of z**4/16 + z**3/3 + 3*z**2/8 - 38. Factor r(k).
k*(k + 1)*(k + 3)/4
Let a(w) be the first derivative of w**5/15 + w**4/4 + w**3/3 + 2*w**2 + 4. Let k(u) be the second derivative of a(u). Factor k(p).
2*(p + 1)*(2*p + 1)
Let m(j) be the third derivative of j**8/294 + 8*j**7/735 + j**6/84 + j**5/210 - 26*j**2. Factor m(f).
2*f**2*(f + 1)*(2*f + 1)**2/7
Suppose -21 = -3*k + 3*x, 8 = 7*k - 3*k + x. Let r be 2/3 - 7/(-3). What is i in -3*i**2 + i**5 - i**r + i**4 + k*i**2 - i**2 = 0?
-1, 0, 1
Let y(o) be the third derivative of -o**8/10080 - o**5/60 - 3*o**2. Let n(w) be the third derivative of y(w). Determine u so that n(u) = 0.
0
Let a(g) = -2*g + 8. Let z be a(0). Let q = -5 + z. Factor 0*d**2 - 2/5*d**4 + 2/5*d**q + 0 + 0*d.
-2*d**3*(d - 1)/5
Let g(t) be the second derivative of 0*t**3 - 1/60*t**6 - 1/84*t**7 + 0*t**2 + 4*t + 1/40*t**5 + 0 + 1/24*t**4. Factor g(u).
-u**2*(u - 1)*(u + 1)**2/2
Suppose 5*d + 3 = 13. Factor -2/9*w**5 - 2/9*w - 2/9*w**4 + 4/9*w**d - 2/9 + 4/9*w**3.
-2*(w - 1)**2*(w + 1)**3/9
Let l = -26 - -79/3. Determine k so that -1/3*k**5 - 1/3*k**2 + 1/3*k**4 + 0*k + 0 + l*k**3 = 0.
-1, 0, 1
Let m(g) be the first derivative of g**5/90 + g**4/18 + g**3/9 + g**2/9 + 2*g - 1. Let v(u) be the first derivative of m(u). Factor v(o).
2*(o + 1)**3/9
Suppose w = 4 - 1. Let t = -42 + 46. Factor -19*r**3 + 10*r**3 - 7*r**2 - 2*r**2 - w*r - 3*r**t.
-3*r*(r + 1)**3
Let j(w) be the third derivative of -w**6/300 + w**4/20 - 2*w**3/15 + 7*w**2. Determine b, given that j(b) = 0.
-2, 1
Suppose 4*q + 1 = 5*j + 3, 0 = -5*j + q + 7. Solve 0*i - 1/2*i**3 + 0 + 1/4*i**4 + 1/4*i**j = 0 for i.
0, 1
Let z(p) be the third derivative of -p**6/540 + p**5/270 + p**4/108 - p**3/27 - 43*p**2. Factor z(s).
-2*(s - 1)**2*(s + 1)/9
Let a be 2/(-25)*(-40)/56. Let p(w) be the first derivative of 0*w - 2/7*w**2 - 2/21*w**3 + 23/14*w**4 + a*w**5 + 1 - w**6. Let p(u) = 0. What is u?
-1, -2/7, 0, 1/3, 1
Suppose 4*h + 7 + 1 = 0, -5*z - 3*h + 29 = 0. Suppose 3*c - 7*c - 2 = -2*m, 4*c + z = 3*m. Factor 0*o**3 - 1/3*o**m + 0*o + 0*o**2 + 1/3*o**4 + 0.
-o**4*(o - 1)/3
Let x be (3/6)/(3/6). Let j be 2 - x*-2*1. Let -4*k**3 + k**j - 1 + 7*k**3 - 2*k - k**3 = 0. What is k?
-1, 1
Let u = 2 - 0. Factor -2*a**3 + 3*a**4 + 6*a**2 - u*a**4 - 1 + 2*a - 6*a**2.
(a - 1)**3*(a + 1)
Factor -3*n**3 + 3*n**2 + 3*n - 29*n**4 - 38*n**4 + 64*n**4.
-3*n*(n - 1)*(n + 1)**2
Factor -320 - 4*d - 86*d - 5*d + 15*d - 5*d**2.
-5*(d + 8)**2
Suppose 5*y + u = 2*u + 19, -y = -2*u - 11. Let -3*f**2 - 3/2*f**y + 3 + 3/2*f = 0. What is f?
-2, -1, 1
Factor -147/4 + 21/2*p - 3/4*p**2.
-3*(p - 7)**2/4
Let t(f) = -90*f + 2. Let l be t(-1). Let y = 463/5 - l. Factor -3/5*o**3 - 6/5*o**2 - y*o + 0.
-3*o*(o + 1)**2/5
Let u(g) be the second derivative of -g**6/45 + g**5/10 - 13*g**4/72 + g**3/6 - g**2/12 - 8*g. Suppose u(f) = 0. What is f?
1/2, 1
Let o(q) be the second derivative of -6*q**7/7 - 14*q**6/15 + 11*q**5/5 + 7*q**4/3 - 4*q**3/3 + q. Determine c so that o(c) = 0.
-1, 0, 2/9, 1
Suppose 0 - 6 = -2*x. Let z(r) be the first derivative of 0*r**x - 1/2*r - 1/2*r**2 + 1/4*r**4 + 1 + 1/10*r**5. Factor z(u).
(u - 1)*(u + 1)**3/2
Factor -4/5*b**3 + 4/5*b - 2/5*b**4 + 0 + 2/5*b**2.
-2*b*(b - 1)*(b + 1)*(b + 2)/5
Let b = 103 - 2059/20. Let l(a) be the second derivative of b*a**5 + 2/9*a**4 + 0 + 1/3*a**2 - a + 7/18*a**3. What is w in l(w) = 0?
-1, -2/3
Let k(w) be the first derivative of 0*w**2 + 1/3*w**3 + 3*w + 3 + 1/10*w**5 + 1/3*w**4. Let h(o) be the first derivative of k(o). Suppose h(n) = 0. Calculate n.
-1, 0
Factor 0 - 4/13*y - 2/13*y**2.
-2*y*(y + 2)/13
Let g(o) be the first derivative of -o**4/84 - o**3/42 + 6*o - 6. Let y(x) be the first derivative of g(x). Factor y(d).
-d*(d + 1)/7
Suppose -10*h - 3 = -11*h. What is g in -1/2*g**h - 1/3*g**2 + 0 + 0*g = 0?
-2/3, 0
Let n(v) be the third derivative of v**5/20 + 3*v**4/2 - 13*v**3/2 + 19*v**2 + 2*v. Determine q, given that n(q) = 0.
-13, 1
Let d(x) be the first derivative of -x**4 - 12*x**3 - 54*x**2 - 108*x - 1. Solve d(u) = 0.
-3
Suppose -2*s - 3*s + 4*y = -25, 5*s + y - 25 = 0. Solve -6*a**5 - 6*a**3 + 6*a**4 - s*a**5 + 2*a**2 + 9*a**5 = 0.
0, 1
Let t(a) be the first derivative of a**6/2 - 4*a**5/5 - a**4/2 + 4*a**3/3 - a**2/2 + 10. Factor t(f).
f*(f - 1)**2*(f + 1)*(3*f - 1)
Suppose -x + 5*v = -13, 2*x + 4*v + 12 = 3*x. Let d = -4 + 8. Determine i, given that x + d*i**3 + 0*i**2 - 8*i + 4*i**4 - 2*i**4 - 6*i**2 = 0.
-2, 1
Factor -2*d + 493 - d**2 - 493.
-d*(d + 2)
Let m(o) be the third derivative of o**7/630 + o**6/120 + o**5/90 - 14*o**2. Find d such that m(d) = 0.
-2, -1, 0
Let z(b) = b + 2. Let a be z(0). Let v**2 + v**a - v - 3*v**2 = 0. What is v?
-1, 0
Let y(w) = w**2 - 5*w - 10. Let d be y(7). Factor 0*k**2 - 2/7*k**d - 4/7*k**3 + 0*k + 2/7*k**5 + 0.
2*k**3*(k - 2)*(k + 1)/7
Let f(h) be the second derivative of h**4/4 - 3*h**2/2 - 19*h. Determine d so that f(d) = 0.
-1, 1
Let j be 3/27*(-2 + 5). Let d(b) be the third derivative of 0 - 1/30*b**5 - 7/120*b**6 + 2*b**2 + 0*b + 7/24*b**4 + j*b**3. Factor d(g).
-(g - 1)*(g + 1)*(7*g + 2)
Let g(j) be the first derivative of j - 2 - 1/60*j**5 - 4/9*j**3 - 5/36*j**4 - 2/3*j**2. Let u(q) be the first derivative of g(q). Solve u(b) = 0 for b.
-2, -1
Suppose -2*w = -3 + 5. Let h be w + (-34)/(-10) + -1. Factor 4*t + 4/5 + h*t**3 + 23/5*t**2.
(t + 1)*(t + 2)*(7*t + 2)/5
Let b(f) be the second derivative of f**6/6 - 5*f**5/4 + 5*f**4/4 + 25*f**3/6 - 10*f**2 + 21*f. Factor b(c).
5*(c - 4)*(c - 1)**2*(c + 1)
Let s(a) be the first derivative of -a**6/24 + a**5/5 - 3*a**4/8 + a**3/3 - a**2/8 - 7. Solve s(n) = 0.
0, 1
Let q(p) be the first derivative of 3*p**5/20 + p**4/2 + p**3/2 + 9*p + 10. Let g(u) be the first derivative of q(u). Factor g(c).
3*c*(c + 1)**2
Let h(b) be the first derivative of -b**5/25 - b**4/20 + 2*b**3/15 - 6. Let h(j) = 0. Calculate j.
-2, 0, 1
Let y(n) be the first derivative of -n**6/36 - n**5/30 + n**4/12 + 1. Determine q, given that y(q) = 0.
-2, 0, 1
Determine v so that 4/3*v**2 + 8/3*v**4 - 10/3*v**3 - 2/3*v**5 + 0 + 0*v = 0.
0, 1, 2
Let f(z) be the second derivative of z**7/105 - z**5/25 + z**3/15 + 7*z. Factor f(c).
2*c*(c - 1)**2*(c + 1)**2/5
Let u = -1519/9 + 169. Factor 2/3*b**2 + u*b - 8/9*b**3 + 0.
-2*b*(b - 1)*(4*b + 1)/9
Let u(r) = r**3 - r - 3. Let i be u(0). Let s be 1 - (1*i)/3. Solve -o**4 - 6*o**3 - s*o**2 + 2*o**3 - o**4 = 0.
-1, 0
Suppose 0 - 1/3*w**2 - 13/3*w = 0. What is w?
-13, 0
Let g = 187/2 - 461/6. Determine n, given that -40/3*n**3 - 8/3 + 40/3*n - 14*n**2 + g*n**4 = 0.
-1, 2/5, 1
Suppose c - 2*n = 4816, n - 2*n = -c + 4816. Find d, given that 32 + 34986*d**4 + 35*d + c*d**2 - 239*d - 420*d - 18424*d**3 - 26411*d**5 = 0.
2/11, 2/