e first derivative of 0*j**p - 2 + 0*j + 1/12*j**4 - 1/6*j**2. Factor m(d).
d*(d - 1)*(d + 1)/3
Let o be (0/(-2))/(-2*(-2)/(-2)). Let a be (o - 4) + (-567)/(-135). Solve 2/5 - a*y**3 + 1/5*y - 2/5*y**2 = 0 for y.
-2, -1, 1
Let v be (-2)/5 + 34/20*2. Let y be 2*v/(-12) + (-10)/(-12). Suppose 0*u + 2/3*u**4 + 0 + 0*u**2 + 1/3*u**5 + y*u**3 = 0. Calculate u.
-1, 0
Let h(g) be the second derivative of -g**6/144 + g**5/16 + 5*g**4/12 + 13*g**3/6 - 19*g. Let r(m) be the second derivative of h(m). Find w, given that r(w) = 0.
-1, 4
Let l(g) be the third derivative of -g**6/15 + g**5/90 + 17*g**4/36 + 4*g**3/9 - 3*g**2 - 11*g. Suppose l(f) = 0. What is f?
-1, -1/4, 4/3
Let v(d) be the second derivative of d**5/20 + d**4/4 + 3*d**2/2 - 17*d. Let p be v(-3). Suppose 3/4*w**4 + 2*w**p + 0*w + 3/2*w**2 - 1/4 = 0. What is w?
-1, 1/3
Suppose -7*f**3 - 636*f**2 - 4*f**4 + 3*f**4 + 322*f**2 + 2*f**4 + 326*f**2 = 0. Calculate f.
0, 3, 4
Let c = 3/67 + -947/201. Let w = c - -104/21. Factor w*j**2 + 4/7*j + 2/7.
2*(j + 1)**2/7
Let r = -66/259 - -20/37. Find u, given that -24/7*u**2 - 64/7*u + 128/7 + 8/7*u**3 + r*u**4 = 0.
-4, 2
Let y be (9/4)/(4 + 15/(-6)). Suppose -y + 3/2*r**2 + 0*r = 0. What is r?
-1, 1
Find u, given that 1/8*u**5 - 3*u + 9/4*u**3 - 9/8*u**4 + 0 + 1/2*u**2 = 0.
-1, 0, 2, 6
Let r(w) be the second derivative of 0 + 5*w + 0*w**2 + 1/4*w**4 - 1/6*w**3 - 3/20*w**5 + 1/30*w**6. Factor r(p).
p*(p - 1)**3
Let w(z) be the third derivative of 0*z**4 - 2/315*z**7 + 0 + 0*z**3 + 2/45*z**6 - 3*z**2 + 0*z - 1/15*z**5. Factor w(h).
-4*h**2*(h - 3)*(h - 1)/3
Suppose 0 = -5*q - 2*u + 17, -3*q - u = -6*q + 8. Determine g, given that 2*g**3 + 8*g + 6*g**3 - 13*g**3 + 13*g**q - 20*g**2 = 0.
0, 1/2, 2
Let f be (-2)/(-13*(-40)/(-780)). Find c such that -2/5 - 34*c**4 - 26/5*c - 116/5*c**2 - 212/5*c**f - 10*c**5 = 0.
-1, -1/5
Let p = 367 + -365. Let d(o) be the second derivative of -2*o + 1/20*o**5 + 0 + 0*o**p + 0*o**4 + 0*o**3. Factor d(i).
i**3
Let u(f) be the third derivative of -f**6/200 + 7*f**5/100 - f**4/4 - 15*f**2. Find q such that u(q) = 0.
0, 2, 5
Let w(c) be the third derivative of 0*c**3 + c**2 + 0*c**5 + 0*c**6 - 1/70*c**7 + 0*c**4 + 0*c + 0. Solve w(t) = 0.
0
Let r(f) be the second derivative of -14/3*f**2 - 1/18*f**4 + f**3 + 0 + 26*f. Find l, given that r(l) = 0.
2, 7
Factor 327878/7*x**2 - 14698/7*x**3 + 357911/7 - 1/7*x**5 + 211/7*x**4 + 700699/7*x.
-(x - 71)**3*(x + 1)**2/7
Suppose -n = -3*f + 7*f + 33, -f = 4*n - 3. Let y be 2/f - (-342)/81. Solve 0*j**2 + 0*j**y - 2/9*j**5 + 2/9*j**3 + 0*j + 0 = 0.
-1, 0, 1
Let x(q) be the first derivative of q**4/2 - 10*q**3/3 - q**2 - 10*q + 10. Let z(h) = -h - 1. Let d(y) = -2*x(y) + 20*z(y). Factor d(v).
-4*v*(v - 4)*(v - 1)
Suppose -2*a - 80 - 10 = -4*i, 0 = 2*i + 2*a - 36. Determine y, given that -3/2*y**5 - i*y**3 + 3 + 24*y**2 - 27/2*y + 9*y**4 = 0.
1, 2
Let u(k) = -k**3 + 4*k**2 + k. Let a be u(4). Suppose 3*l + 11 = -4*t, 0 = -4*l - 3*t - 3 - 0. Factor 4*n**3 + 8*n**2 + 1 - a*n - 3*n - 9 + l*n.
4*(n - 1)*(n + 1)*(n + 2)
Let t be (-33)/(-8) + 16/(-128). Let m(l) be the first derivative of 10/27*l**3 - 1 + 2/9*l**2 + 0*l - 7/18*l**t. Determine h, given that m(h) = 0.
-2/7, 0, 1
Let d be (-7)/(-42)*10/175. Let r(l) be the third derivative of 1/30*l**5 + 0 + 0*l**3 + 5*l**2 - 1/168*l**8 + 0*l + 0*l**4 - d*l**7 + 1/60*l**6. Factor r(i).
-2*i**2*(i - 1)*(i + 1)**2
Let s be 2 - 1/3*6. Let m(l) be the first derivative of 1/8*l**4 + s*l**3 + 5 + 0*l + 1/6*l**6 + 0*l**2 + 3/10*l**5. Determine b, given that m(b) = 0.
-1, -1/2, 0
Let a(y) be the third derivative of -y**9/7560 + y**8/1120 - y**7/420 + y**6/360 + 11*y**4/24 - 12*y**2. Let f(t) be the second derivative of a(t). Factor f(g).
-2*g*(g - 1)**3
Let b = 4765/7152 + 1/2384. Let -2*s**2 - 10/3*s - 4/3 + b*s**3 + 2/3*s**4 = 0. What is s?
-1, 2
Let l(f) be the third derivative of -1/300*f**5 + 0 - 13/6*f**3 + 0*f - 14*f**2 - 1/300*f**6 + 1/30*f**4. Let v(s) be the first derivative of l(s). Factor v(x).
-2*(x + 1)*(3*x - 2)/5
Let h(o) be the first derivative of 7*o**3/3 + 4*o**2 + 16*o/7 - 12. Factor h(q).
(7*q + 4)**2/7
Let h(p) be the second derivative of -5*p**7/42 - 2*p**6/3 - 5*p**5/4 - 5*p**4/6 + 54*p + 2. Find o such that h(o) = 0.
-2, -1, 0
Factor 0 - 5*q - 5/3*q**2.
-5*q*(q + 3)/3
Let c(a) be the first derivative of 5*a**4/4 - 85*a**3 + 4335*a**2/2 - 24565*a - 61. Determine q so that c(q) = 0.
17
Let t(z) be the third derivative of 5*z**8/3696 - 4*z**7/1155 - 3*z**6/440 + 2*z**5/165 + z**4/66 - 85*z**2. Find q, given that t(q) = 0.
-1, -2/5, 0, 1, 2
Suppose 0 = 4*k - 4*o - 36, 4*o = 3*k - 25 - 6. Let h(p) = -p**2 + 5*p + 2. Let a be h(k). Factor 2*n**2 + n**4 + 0*n**4 - 2*n**a - n**2.
n**2*(n - 1)*(n + 1)
Factor 2/3*d**4 - 4/9*d**2 + 0 + 0*d + 2/9*d**3.
2*d**2*(d + 1)*(3*d - 2)/9
Let f be 4/(3 - 5) - 482/(-240). Let g(n) be the third derivative of 0*n**4 + 0*n + f*n**5 - 1/12*n**3 + 0 - 2*n**2. Factor g(o).
(o - 1)*(o + 1)/2
Let h(k) be the second derivative of k**7/84 + 7*k**6/60 + k**5/5 - 2*k**4/3 - 132*k. Find g, given that h(g) = 0.
-4, 0, 1
Let i = -5674 + 5676. Factor 0 - 1/2*o**i + 3*o.
-o*(o - 6)/2
Let g be 1/5 + 6/(-30). Let v be g - ((-8)/(-4) - 16). Determine s so that -v - 4 - 8*s**2 - 16*s - 16*s + 8*s = 0.
-3/2
Let p = -28 + 28. Let h = p + 2/3. Suppose 0*v + h*v**2 + 0 = 0. What is v?
0
Let u = 12190 - 12190. Factor 0*t + 0*t**2 + u + 8/13*t**4 - 2/13*t**3.
2*t**3*(4*t - 1)/13
Let o(x) be the second derivative of 1/2*x**2 - 9*x + 0 - 1/12*x**4 - 1/12*x**3 + 1/40*x**5. Find a such that o(a) = 0.
-1, 1, 2
Let h(f) = f**2 - 12*f - 11. Let o be h(13). Suppose 7*y - o*y = 15. Factor 0*i**2 - 3*i + i**2 - 1 - 4*i**2 - i**y.
-(i + 1)**3
Solve 22/5*r**4 - 88/5*r**2 + 0 + 108/5*r**3 - 26/5*r**5 - 16/5*r = 0 for r.
-2, -2/13, 0, 1, 2
Let p(u) be the second derivative of -7*u + 0 - 8/5*u**2 - 1/60*u**4 + 4/15*u**3. Solve p(t) = 0.
4
Let v(n) be the first derivative of -5/6*n**3 - 1/4*n - 5/8*n**2 + 31 - 1/24*n**6 - 1/4*n**5 - 5/8*n**4. Factor v(j).
-(j + 1)**5/4
Let g(z) = -2*z**4 - 3 + 4 - z**5 - z**2 - 3*z**3 + 0*z**2. Let t(u) = u**4 + 1. Let i be (5/((-90)/(-12)))/(3/18). Let n(m) = i*t(m) - 4*g(m). Factor n(o).
4*o**2*(o + 1)**3
Let w be ((-427)/49 - (-7 - 2)) + 184/42. Let 2/3*f**5 - w*f - 2 - 4/3*f**2 + 10/3*f**4 + 4*f**3 = 0. What is f?
-3, -1, 1
Let b = -2547 - -2550. Let o(q) be the second derivative of 0*q**4 - 2*q + 0*q**2 - 1/4*q**5 + 0 + 5/6*q**b. Factor o(x).
-5*x*(x - 1)*(x + 1)
Let j(x) = 22*x**2 + 2*x**3 - 23*x**2 - x**3. Let i(w) = -2*w**3 - 4*w**2 + 10*w - 4. Let p(c) = -i(c) - 4*j(c). What is g in p(g) = 0?
1, 2
Suppose -z + 60 = -5*z. Let m be (-5)/z*(-2 - -8). Factor -15*s**3 - 3*s - 17 + 24*s**m + 5 + 6.
-3*(s - 1)**2*(5*s + 2)
Let y(x) be the third derivative of x**7/420 + 11*x**6/120 - x**5/40 - 4*x**4/3 + 11*x**3/3 + 6*x**2 + 55. Solve y(c) = 0 for c.
-22, -2, 1
Suppose -3*r + 5*v = -3, 0*v = -2*r + 3*v + 3. Suppose -18*p + r = -30. Factor 2/7*f**p + 0 + 0*f.
2*f**2/7
Let l(r) = r**3 + 8*r**2 + 4*r - 12. Let f be l(-6). Find n, given that -3 - n**2 - 39*n + 71*n - f*n = 0.
-3, -1
Let q(d) = 2*d - 1. Let p be q(6). Let y(f) = -f**3 + 12*f**2 - 10*f - 9. Let l be y(p). Factor c + 30*c**l - 14*c**2 - 15*c**2.
c*(c + 1)
Let i(f) be the first derivative of f**6/180 + f**5/18 + 7*f**4/36 + f**3/3 + 3*f**2 + 9. Let p(t) be the second derivative of i(t). Factor p(m).
2*(m + 1)**2*(m + 3)/3
Let g(a) be the third derivative of a**8/420 - a**7/630 + 17*a**4/24 - 7*a**2. Let n(k) be the second derivative of g(k). Let n(z) = 0. What is z?
0, 1/4
Let s = -37 + 49. Let t(p) = 4*p + 8. Let j be t(6). Find u, given that -16*u**2 + s*u**3 - 19*u**4 - 12*u + j*u**4 - 15*u**4 + 18 = 0.
-1, 1, 3
Factor 0 + 3/5*t**4 - 168/5*t**2 - 33*t**3 + 0*t.
3*t**2*(t - 56)*(t + 1)/5
Solve 2/7*n**3 + 2/7*n**5 - 16/7 + 8/7*n**4 - 40/7*n - 4*n**2 = 0.
-2, -1, 2
Let m be ((-9)/(-3))/(-3)*(-4 - 0). Let p(c) be the second derivative of 0 + 9/10*c**5 + 3/2*c**2 + 0*c**3 - 7/4*c**m - c. What is s in p(s) = 0?
-1/3, 1/2, 1
Let h = 32 - 37. Let z be -6*(-1 - h/15). Determine m so that -8*m + z*m**2 - 9*m**2 - 15*m**2 = 0.
-2/5, 0
Factor 15 - 15*w + 12 + 9 - 45*w**2 - 26 - 20*w.
-5*(w + 1)*(9*w - 2)
Let c be (-3 - -6)*14/12. Let p(q) be the first derivativ