**7 + 0*y + 1/3*y**5 - 5/24*y**6 + 0*y**3 - 19*y**2. Factor h(d).
5*d*(d - 1)**2*(2*d - 1)
Let x(a) be the second derivative of -a**7/6300 + a**6/450 - a**5/100 + 13*a**4/12 + 17*a. Let i(z) be the third derivative of x(z). Let i(o) = 0. Calculate o.
1, 3
Determine g, given that 61/2*g**2 - 84*g**3 + 69/2*g**4 + 22*g**5 + 0 - 3*g = 0.
-3, 0, 2/11, 1/4, 1
Let w(j) = -12*j**5 - 3*j**4 - 8*j**3 - j**2 + 5*j + 9. Let d(r) = -17*r**5 - 5*r**4 - 12*r**3 - r**2 + 8*r + 13. Let q(o) = -5*d(o) + 7*w(o). Factor q(y).
(y - 1)*(y + 1)**3*(y + 2)
Suppose -15*u - 11*u**2 + 14*u**2 + 2*u**2 - 5*u**4 + 3*u**3 + 12*u**3 = 0. Calculate u.
-1, 0, 1, 3
Suppose -48*n + 7 + 315/4*n**2 + 49/4*n**3 = 0. What is n?
-7, 2/7
Let h = 3763 + -78983/21. Let r = -4/7 + h. Let -3*l**5 - l**4 + 0*l + 0 + 8/3*l**3 + r*l**2 = 0. Calculate l.
-2/3, 0, 1
Suppose 2*s = -3*k - 3*s + 1, 0 = -k + 5*s + 7. Factor 4*d**3 + 16*d**4 - 5*d - 13*d + k*d**2 - 2*d**5 - 48*d**3 + 46*d**2.
-2*d*(d - 3)**2*(d - 1)**2
Suppose 0 = -d + 2*d + 2*c - 12, 0 = 2*d + 3*c - 25. Let m = -6 + d. Let -2 + 3*y**3 + 9*y + 3*y - m*y**2 - 5*y = 0. Calculate y.
2/3, 1
Solve 10*n - 4*n**3 + 60*n - 35*n**4 + 40 - n**5 + 0*n**5 - 61*n**3 - 5*n**2 - 4*n**5 = 0 for n.
-4, -2, -1, 1
Let d be (5 - (-1 - -7))*(-24 + 24). What is k in d*k + 0*k**2 + 4/5*k**4 + 8/5*k**3 + 0 = 0?
-2, 0
Let z = 407 - 8543/21. Determine w, given that z - 2/7*w + 2/21*w**2 = 0.
1, 2
Suppose 5*a - 15 = 544*k - 539*k, 5*k - 15 = -a. Factor 75/7 + 30/7*t + 3/7*t**k.
3*(t + 5)**2/7
Let 0 + 2*o**2 - 1/2*o**4 - 2*o + 1/2*o**3 = 0. Calculate o.
-2, 0, 1, 2
Let l = -26 + 30. Let t be 1*1/(-7)*l/(-4). Factor 0 - 1/7*i**2 - t*i.
-i*(i + 1)/7
Let j(r) be the first derivative of r**4/14 - 2*r**3/7 - 40*r**2/7 + 36. What is a in j(a) = 0?
-5, 0, 8
Factor -128*s**4 - 55*s**3 - 91*s**2 - 54*s**3 + 41*s**2 - 51*s**3.
-2*s**2*(8*s + 5)**2
Let s(w) be the third derivative of -w**8/84 + w**6/30 - w**2 - 61*w. Factor s(x).
-4*x**3*(x - 1)*(x + 1)
Suppose -j + 39 = -0*j. Suppose 3*n = 3*k + j, -5*n - 7 + 57 = -2*k. Suppose 4*i - n*i**3 - 2*i**2 - 5*i + 7*i**3 = 0. What is i?
-1, 0
Let q(h) = -4*h**3 + 1156*h**2 + 2316*h + 1148. Let z(w) = w**3 - 386*w**2 - 772*w - 382. Let v(x) = 3*q(x) + 8*z(x). Factor v(j).
-4*(j - 97)*(j + 1)**2
Let p(g) be the first derivative of -g**6/420 - g**5/105 - g**4/84 + 6*g**2 - 4. Let x(q) be the second derivative of p(q). Factor x(k).
-2*k*(k + 1)**2/7
Suppose 0 = 2*v - 10, -2*t + 9 + 10 = 5*v. Let s be (-2)/((-1)/t - 1). Factor -w**3 - 3 - 8*w**3 + s*w**4 - 6*w + 11*w**3 + 4*w**3.
3*(w - 1)*(w + 1)**3
Let b = -21 - -25. Find a such that 4*a - 20*a**2 - 5 + 28*a**2 + 2*a**b - 6*a**4 - 8*a**3 + 4*a**5 + 1 = 0.
-1, 1
Let m(h) = -h**3 + 32*h**2 + 180*h + 189. Let r be m(37). Solve -12*w**3 - 36*w**2 - 48*w - 24 - 3/2*w**r = 0.
-2
Let b = -61232 - -61234. Factor -26/7*k + 2/7*k**b - 4.
2*(k - 14)*(k + 1)/7
Suppose 66*m + 41*m - 5*m**2 + 45*m - 10*m - 180 + 43*m = 0. Calculate m.
1, 36
Let t = 38 - 35. Factor -d - 4*d**4 + 29*d**3 + 5*d**4 - d**2 - 28*d**t.
d*(d - 1)*(d + 1)**2
Let n(t) be the second derivative of t**6/5 + t**5/5 - t**4/2 - 2*t**3/3 - 25*t - 4. Factor n(m).
2*m*(m - 1)*(m + 1)*(3*m + 2)
Factor 4*r - 9 + 34*r**3 + 39*r**3 - 77*r**3 - 1 + 2 + 8*r**2.
-4*(r - 2)*(r - 1)*(r + 1)
Let b(d) be the first derivative of d**4/8 - 17*d**3/6 + 7*d**2/2 + 16*d + 617. Determine s, given that b(s) = 0.
-1, 2, 16
Let u(l) = -l**3 - l**2. Let o(z) = -2*z**3 - 9*z**2 - 16*z. Let y(k) = -2*o(k) + 6*u(k). Factor y(w).
-2*w*(w - 8)*(w + 2)
Let y = -1199/20 + 60. Let o(n) be the third derivative of 0*n + 0 + 2*n**2 + 1/120*n**6 - y*n**5 - 1/24*n**4 + 1/210*n**7 + 1/3*n**3. Factor o(m).
(m - 1)**2*(m + 1)*(m + 2)
Let j = 33 + -31. Factor -1 - i**2 + 0*i + 3*i**j - 5*i + 4*i.
(i - 1)*(2*i + 1)
Let f(a) be the second derivative of a**4/9 - 20*a**3/9 - 22*a**2/3 - 99*a. Suppose f(n) = 0. What is n?
-1, 11
Let q be 2/10 + 4/240*-11. Let j(p) be the third derivative of 0 - 1/3*p**3 + q*p**5 - 7*p**2 + 0*p + 1/24*p**4. Factor j(k).
(k - 1)*(k + 2)
Let p(l) be the third derivative of -l**5/12 + 61*l**4/24 + 284*l**2. Let p(r) = 0. Calculate r.
0, 61/5
Let j(i) be the second derivative of -i**7/280 + i**5/40 + 2*i**3 + i. Let q(a) be the second derivative of j(a). Factor q(u).
-3*u*(u - 1)*(u + 1)
Let g(c) be the first derivative of -c**3 + 0*c - 15/4*c**4 + 34 + 3/5*c**5 + 15/2*c**2. Determine o, given that g(o) = 0.
-1, 0, 1, 5
Let c = -10477 - -10481. Determine w so that 18/7*w**2 + 20/7*w + w**3 + 8/7 + 1/7*w**c = 0.
-2, -1
Factor 16*r**2 + 177*r - 48*r**2 + 21*r**2 + 114 + 20*r**2.
3*(r + 19)*(3*r + 2)
Let v = -422 - -1263. Let s = v + -4157/5. Let -3/5*u**4 - 24/5*u**3 - 72/5*u**2 - 96/5*u - s = 0. What is u?
-2
Let n(z) be the second derivative of -z**5/5 - z**4 + 2*z**3/3 + 6*z**2 + z + 36. Factor n(q).
-4*(q - 1)*(q + 1)*(q + 3)
Let w = -1457 + 1459. Let g(p) be the second derivative of -1/8*p**3 - 1/4*p**w + 0 + 1/24*p**4 - 5*p. Solve g(s) = 0 for s.
-1/2, 2
Let a(p) = p**3 - p**2 - 2. Let h(r) = 91*r**3 - 125*r**2 - 104*r - 18. Let f(t) = -2*a(t) + 2*h(t). Factor f(q).
4*(q - 2)*(5*q + 2)*(9*q + 2)
Let t(d) be the second derivative of -18*d + 1/63*d**7 - 4/27*d**3 + 4/27*d**4 + 0 + 0*d**2 - 8/135*d**6 + 1/90*d**5. Suppose t(j) = 0. Calculate j.
-1, 0, 2/3, 1, 2
Let r(h) = -5*h**4 - 26*h**3 - 29*h**2. Let z(g) = 36*g**4 + 180*g**3 + 204*g**2. Let l(i) = -15*r(i) - 2*z(i). Find m, given that l(m) = 0.
-9, -1, 0
Let c = 151341/5 - 30268. Suppose 0 + 8/5*n**3 + 6/5*n**4 - 6/5*n**2 - 9/5*n + c*n**5 = 0. What is n?
-3, -1, 0, 1
Let u(f) be the second derivative of -1/30*f**4 + 0*f**2 + 0*f**3 - 5*f + 0 - 1/100*f**5 + 1/150*f**6. Factor u(w).
w**2*(w - 2)*(w + 1)/5
Suppose 8*h + 73 = 169. Suppose -3*b = -5*n - h, -b = 4*n - 6*n - 4. Let -40/19*a**2 + 46/19*a**3 + n - 14/19*a**4 + 8/19*a = 0. What is a?
0, 2/7, 1, 2
Suppose 0 = -t + 2*h - 4*h + 9, 0 = 3*h - 9. Factor -5*q**3 - 10*q**4 + 2*q**2 + 9*q**3 - 6*q**t - 6*q**5.
-2*q**2*(q + 1)**2*(3*q - 1)
Suppose -p + t = 3*t + 3, 0 = -t - 4. Let b(o) = 3*o**3 + 11*o - 9. Let z(u) = 2*u**3 + 10*u - 8. Let i(s) = p*z(s) - 4*b(s). Factor i(v).
-2*(v - 1)**2*(v + 2)
Let r(y) be the first derivative of 2*y**3/3 + 6*y**2 + 16*y - 22. Suppose r(c) = 0. Calculate c.
-4, -2
Let s = -6722 - -6725. Factor 68/3*q + 8/3 + 21*q**s + 158/3*q**2.
(q + 2)*(7*q + 2)*(9*q + 2)/3
Let y = 3831/2 + -1915. What is v in 1/4*v**2 + 0 - y*v + 1/4*v**3 = 0?
-2, 0, 1
Suppose 5*z = -0*z - 10. Let g(h) = 24*h**3 + 30*h**2 + 9*h - 3. Let f(m) = 25*m**3 + 31*m**2 + 8*m - 2. Let q(a) = z*g(a) + 3*f(a). Factor q(k).
3*k*(k + 1)*(9*k + 2)
Suppose -101*u = -36*u. Let n(h) be the third derivative of 0*h + 0 - 1/24*h**6 + 6*h**2 + 0*h**5 + u*h**4 + 0*h**3 - 1/42*h**7. Factor n(t).
-5*t**3*(t + 1)
Let b(n) = n**2 + 42*n + 154. Let w be b(-38). Let j(q) be the second derivative of 0 + 2/3*q**w - 4/9*q**3 - q - 5/36*q**4. Suppose j(s) = 0. What is s?
-2, 2/5
Let c(w) = 8*w**3 - 432*w**2 + 6160*w + 1554. Let q(d) = -4*d**3 + 217*d**2 - 3080*d - 778. Let k(o) = -6*c(o) - 14*q(o). Factor k(s).
2*(s - 28)**2*(4*s + 1)
Let d(r) be the first derivative of -r**6/18 - 2*r**5/15 + 5*r**4/6 + 8*r**3/9 - 11*r**2/2 + 6*r + 52. Suppose d(a) = 0. What is a?
-3, 1, 2
Let m be (-20)/8*(-4)/5. Factor -y**5 + 1 - 3*y**3 + y**3 - 808*y + 811*y + 2*y**m - 3*y**4.
-(y - 1)*(y + 1)**4
Let j(t) = 8*t**4 + 5*t**3 - 44*t**2 + 58*t - 36. Let b(g) = -g**4 + g**3 - g**2 + 2*g. Let x(h) = -18*b(h) - 2*j(h). Let x(m) = 0. Calculate m.
1, 2, 9
Let f be ((-3)/66)/(5/(-29430)). Let g = f - 267. Determine s, given that 2/11*s**2 + g + 8/11*s = 0.
-3, -1
Let y(d) be the third derivative of d**6/900 - 2*d**5/75 + d**4/9 - 29*d**2 + 4. Let y(c) = 0. Calculate c.
0, 2, 10
Factor -4*z - 9/2*z**4 + 0 + 23/2*z**3 - 3*z**2.
-z*(z - 2)*(z - 1)*(9*z + 4)/2
Let y = 101 - 101. Let p(v) = -v**3 - 19*v**2 - 17*v + 22. Let i be p(-18). Determine l, given that 0*l**3 + 2/7*l**5 + y*l + 0*l**2 + 0*l**i + 0 = 0.
0
Let y(s) be the second derivative of -s**7/42 - 11*s**6/75 - 2*s**5/25 - 248*s. Determine n, given that y(n) = 0.
-4, -2/5, 0
Let h(k) be the third derivative of k**6/24 + 5*k**5/12 + 5*k**4/3 + 10*k**3/3 - 142*k**2. Factor h(v).
5*(v + 1)*(v + 2)**2
Let x = 23 - 0. Suppose -3*p