ivative of 2/3*a**3 + a**l + 2 + 0*a. Factor v(d).
2*d*(d + 1)
Let r(g) be the first derivative of g**6/6 - 12*g**5/5 - 45*g**4/4 - 4*g**3/3 + 30*g**2 + 265. Solve r(z) = 0.
-2, 0, 1, 15
Let l(n) = 6*n - 18. Let w be l(4). Suppose 91 - u - 93 - w*u**2 - 5*u - 2*u**3 = 0. Calculate u.
-1
Let m(t) be the third derivative of -t**6/40 - 7*t**5/10 - 49*t**4/8 + 309*t**2. Suppose m(p) = 0. Calculate p.
-7, 0
Suppose -1/7 + 45/7*m**2 + 44/7*m = 0. Calculate m.
-1, 1/45
Let a = 26930 - 26928. Factor -2/9*u**a + 2/9*u**3 - 2/9*u + 2/9.
2*(u - 1)**2*(u + 1)/9
Let a(w) be the second derivative of w**8/3360 - w**7/180 - 35*w**4/12 + 34*w. Let d(n) be the third derivative of a(n). Find b such that d(b) = 0.
0, 7
Let u(r) be the first derivative of 5*r**6/2 + 28*r**5 + 255*r**4/4 + 70*r**3/3 + 319. Solve u(z) = 0 for z.
-7, -2, -1/3, 0
Let u = -20 - -33. Let v(r) = r**2 - 13*r + 2. Let a be v(u). Solve -4/11*k + 0 + 2/11*k**a = 0.
0, 2
Let x(v) be the second derivative of v**7/42 - 2*v**6/15 - v**5/10 + 2*v**4/3 + v**3/6 - 2*v**2 - 179*v. Suppose x(q) = 0. What is q?
-1, 1, 4
Let o(x) = 2*x**3 - 7*x**2 + 4*x. Let l be o(3). Suppose 0 = 3*d + l*t, -5*d + 0*t = 3*t. Factor -1/3*f**5 + 0*f**2 - f**4 + d*f + 0 - 2/3*f**3.
-f**3*(f + 1)*(f + 2)/3
Let r(k) = -3*k**2 + 3*k. Let b = -6 + 8. Let l(h) = 4*h**2 + 8*h**b - h - 6*h**2 - 5*h. Let f(z) = -3*l(z) - 5*r(z). Factor f(o).
-3*o*(o - 1)
Suppose 110 = 43*z - 105. Let j(k) be the second derivative of -k + 0*k**2 - 1/10*k**z + 0 + 2/3*k**3 + 1/6*k**4. Let j(o) = 0. Calculate o.
-1, 0, 2
Let h(i) = 16*i + 192. Let o be h(-12). Let x(l) be the second derivative of -1/90*l**6 + 0*l**2 + 2*l + 1/18*l**3 + 1/36*l**4 + o - 1/60*l**5. Factor x(f).
-f*(f - 1)*(f + 1)**2/3
Let i(v) = -1. Let f(p) = 2*p**2 + 100*p + 1248. Let n(s) = -2*f(s) + 4*i(s). Factor n(w).
-4*(w + 25)**2
Let f(p) = -5*p**2 - 60*p - 35. Let g(a) = 6*a**2 + 59*a + 33. Let x = -94 - -90. Let i(o) = x*f(o) - 5*g(o). Let i(j) = 0. What is j?
-5, -1/2
Suppose -6*q = -2*q. Suppose -3*l + 5*s + 21 = q, -5*s - 1 = l + 12. Determine p, given that p + p**2 - p + l*p + p**3 + 2*p**2 = 0.
-2, -1, 0
Let v(j) be the second derivative of j**7/168 + j**6/60 - j**5/4 - 11*j**4/8 - 15*j**3/8 + 206*j. Factor v(i).
i*(i - 5)*(i + 1)*(i + 3)**2/4
Suppose 4 = -u + 13. Let v be ((-4)/(-12)*u)/6. Suppose -v*h**2 + 0 + 1/4*h**3 + 1/4*h = 0. Calculate h.
0, 1
Factor 2/9*x**3 + 34/9*x + 16/9 + 20/9*x**2.
2*(x + 1)**2*(x + 8)/9
Let c(r) = 2*r**4 - 62*r**3 + 394*r**2 + 450*r + 4. Let m(v) = -4*v**4 + 125*v**3 - 789*v**2 - 900*v - 9. Let b(o) = 9*c(o) + 4*m(o). Factor b(p).
2*p*(p - 15)**2*(p + 1)
Let y(u) be the first derivative of 2*u**5/5 + 317*u**4/4 + 5565*u**3 + 289327*u**2/2 - 148877*u + 129. Suppose y(z) = 0. Calculate z.
-53, 1/2
Let y(m) = 10*m - 30. Let r be y(3). Let d(n) be the third derivative of 1/4*n**4 - 1/30*n**5 + r - 2/3*n**3 + 0*n + 2*n**2. Factor d(q).
-2*(q - 2)*(q - 1)
Let v(x) = -2*x. Let u be v(-1). Let i = 1862 - 5582/3. Solve -2/3*y**u + 0*y - i*y**3 + 0 - 2/3*y**4 = 0 for y.
-1, 0
Let f(p) be the third derivative of 0*p - 29*p**2 + 8/5*p**5 - 7/6*p**6 + 0*p**3 - 2/3*p**4 + 0. Factor f(h).
-4*h*(5*h - 2)*(7*h - 2)
Let s(t) be the second derivative of -t**9/12096 + t**8/3360 + t**7/1120 - 5*t**3 - 18*t. Let g(x) be the second derivative of s(x). Factor g(n).
-n**3*(n - 3)*(n + 1)/4
Let o = 2 + 0. Let -2*d**3 + 0*d**3 - 43*d**o + d**4 + 44*d**2 = 0. Calculate d.
0, 1
Let j(x) = 3*x**2 - 10*x + 2. Let y be j(4). Factor -45*q**2 + 25*q**3 - y - 90*q**2 - 13 - 17 + 150*q.
5*(q - 4)*(q - 1)*(5*q - 2)
Let b(s) = -s**3 - 4*s**2 + 2*s + 2. Let g be b(-4). Let p be -3 - ((-5)/(-30) + 23/g). Solve 2/3 + 1/6*w**2 - p*w = 0.
2
Let g(t) be the first derivative of t**5/10 - 5*t**4/36 - 13*t**3/18 - t**2/3 - 47*t + 29. Let c(o) be the first derivative of g(o). Solve c(l) = 0 for l.
-1, -1/6, 2
Let i(d) be the first derivative of -1/4*d**2 + 1/6*d**3 + 9 - d. Factor i(c).
(c - 2)*(c + 1)/2
Let t = -15 + 18. Factor 5*g + 7*g**3 + 6*g - 3*g**t - 16*g**2 + 5*g.
4*g*(g - 2)**2
Factor 4/3*a + 8/9 - 4/9*a**3 + 0*a**2.
-4*(a - 2)*(a + 1)**2/9
Let f = 67 - 28. Let w = 19 + -15. Suppose 51*g + 30*g**2 + 36*g**4 - 6 - 3*g**2 - 135*g**3 + f*g**w - 12 = 0. What is g?
-3/5, 2/5, 1
Determine d, given that 240*d**4 + 80*d**4 + 7575*d + 39050*d**2 - 6605*d**3 + 92403*d - 5*d**5 + 53240 - 758*d = 0.
-1, 22
Let 24*n**2 + 11 + 18 - 4*n**3 + 4*n - 2 - 64 + 13 = 0. What is n?
-1, 1, 6
Let g = -5240/9 - -4679/9. Let k = g + 63. Factor 0*q**2 + 2*q - k*q**3 + 4/3.
-2*(q - 2)*(q + 1)**2/3
Suppose -5*d - 121 + 121 = 0. Let d - 4/7*z**3 + 4/7*z - 4/7*z**4 + 4/7*z**2 = 0. Calculate z.
-1, 0, 1
Let x(c) = c**4 + 1. Let z(u) = 5*u**4 - 7*u**3 + 6*u**2 + 4. Suppose -3*o + 20 = 4*j, -7*o + 3*o = 0. Let d(h) = j*z(h) - 20*x(h). Solve d(b) = 0.
0, 1, 6
Let t = -126219/5 + 25244. Factor -t*q**2 - 1/5 + 2/5*q.
-(q - 1)**2/5
Let j(v) be the first derivative of v**6/6 + v**5/12 + 12*v**2 + 21. Let g(k) be the second derivative of j(k). Factor g(c).
5*c**2*(4*c + 1)
Suppose 3*l - 3*k - 12 = 0, 5*l - 2*k - 23 = 2*k. Let x(w) = w - 4. Let y be x(l). Factor -6*z**3 + 4*z - 3*z**2 - 4*z + 3*z**y.
-3*z**2*(z + 1)
Suppose -1/4*a**2 + 0 + 12*a = 0. What is a?
0, 48
Suppose 0 = 2*j + 15*j - 187. Suppose -j*o + 11 = -22. Factor 2/9*s**4 + 0 - 2/9*s**5 + 0*s - 2/9*s**2 + 2/9*s**o.
-2*s**2*(s - 1)**2*(s + 1)/9
Let w = -1652 + 1655. Let s(t) be the first derivative of -2 + 2*t**4 + 16*t - 8*t**2 + 4/5*t**5 - 4*t**w. Factor s(m).
4*(m - 1)**2*(m + 2)**2
Suppose -2*r + r = -5*x + 28, -8 = -4*r. Suppose -2*p = -4*u - x, -2*p + 5 + 1 = -u. Factor -4*z**5 - z**3 - 4*z**4 - 4*z**4 - p*z**3.
-4*z**3*(z + 1)**2
Let d be 6/15*215/129. Factor 2/3*g**3 + 8/3 - d*g**2 - 8/3*g.
2*(g - 2)*(g - 1)*(g + 2)/3
Let v(r) be the second derivative of -r**9/90720 - r**8/20160 + r**7/15120 + r**6/2160 + 2*r**4/3 + 9*r. Let s(z) be the third derivative of v(z). Factor s(m).
-m*(m - 1)*(m + 1)*(m + 2)/6
Suppose -6*j = 2*g + 20, 4*g + 3*j - 40 = -35. Determine s so that 9/5*s**2 - 1/5*s**g - 3*s**3 + 0 + 7/5*s**4 + 0*s = 0.
0, 1, 3
Factor 2/9*j**2 + 34/9*j + 32/9.
2*(j + 1)*(j + 16)/9
Let z(i) be the first derivative of 2*i**7/315 + i**6/180 - 17*i**2/2 - 17. Let v(j) be the second derivative of z(j). Factor v(t).
2*t**3*(2*t + 1)/3
Suppose -5 - 1 = 7*v - 20. Determine t, given that -2/13 - 4/13*t + 6/13*t**v = 0.
-1/3, 1
Let n be ((-7)/(-3))/(742/114 + -4). Let v = n - 3/143. Find q, given that -8/11*q**3 + 8/11*q**4 - 2/11*q**5 - 4/11 - 4/11*q**2 + v*q = 0.
-1, 1, 2
Let o(c) = 15*c**2 - 7 - 2 + 429*c**3 + 16*c - 439*c**3. Let a be (-4)/6 + (-10)/3. Let m(r) = r**3 - r**2 - r + 1. Let q(u) = a*o(u) - 44*m(u). Factor q(w).
-4*(w + 1)**2*(w + 2)
Let x(o) be the second derivative of -2*o**6/15 + 2*o**5/5 + 4*o**4/3 - 4*o**3/3 - 6*o**2 + 104*o. Factor x(h).
-4*(h - 3)*(h - 1)*(h + 1)**2
Let g(r) = -r**3 - 18*r**2 - 15*r + 21. Let z be g(-17). Let d(s) = s + 15. Let k be d(z). Suppose 1/4 + 1/4*x**k - 1/2*x = 0. What is x?
1
Let t(x) be the first derivative of -x**2 - 4/15*x**3 - 8 - 4/5*x. Factor t(g).
-2*(g + 2)*(2*g + 1)/5
Factor 12*d**2 - 328 + 18*d**3 + 68*d**2 - 820*d + 88 + 17*d**3.
5*(d - 4)*(d + 6)*(7*d + 2)
What is z in 280/17*z + 36/17*z**2 - 24/17*z**3 - 294/17 + 2/17*z**4 = 0?
-3, 1, 7
Let f be (24/(-312))/((-3)/13). Solve -1/3*n**3 - 1/3*n**2 + 0 + f*n**4 + 1/3*n = 0 for n.
-1, 0, 1
Let r(u) = 22*u**2 - 24*u - 2. Let g(d) be the second derivative of d**2/2 - 3*d - 8. Let j(x) = 4*g(x) + r(x). Factor j(b).
2*(b - 1)*(11*b - 1)
Let c(f) be the second derivative of -f**4/3 - 10*f**3/3 + 110*f. Factor c(z).
-4*z*(z + 5)
Let u(w) be the third derivative of 0*w - 3/40*w**6 + 1/10*w**5 + 0*w**4 + 1/70*w**7 - 3*w**2 + 0 + 0*w**3. Factor u(q).
3*q**2*(q - 2)*(q - 1)
Factor -16*y**3 - 4*y**4 - 12*y**4 + 4*y**5 - y**5 - 7*y**5.
-4*y**3*(y + 2)**2
Let m = -2286 - -16004/7. Solve m*o**2 - 8/7 + 6/7*o = 0.
-4, 1
Let c = 23908/7 + -3414. Suppose 8/7 + 2/7*a**4 + 0*a**3 - c*a**2 + 0*a = 0. What is a?
-2, -1, 1, 2
Solve -2/3*p**2 + 0*p + 0 - 2/3*p**3 = 0.
-1, 0
Let q(w) be the first derivative of -1/6*w**3 + 1/4*w**2 + 20 + 0*w. Factor q(a).
-a*(a - 1)/2
Suppose -84 = -36*c + 24*c. Let d(f) be the third derivative of 0*f**4 - c*f**2 + 1/540*f**6 +