culate o.
-3, -1, 0, 1
Let y = 5622 + -5622. Factor y + 5/3*w + 1/3*w**3 - 2*w**2.
w*(w - 5)*(w - 1)/3
Find z such that 2*z - 31*z**2 - 6*z - 64*z**2 + 2*z = 0.
-2/95, 0
Let g(c) = 8*c**2 + 4*c + 2. Suppose 4*n + 2*y = -12 - 14, -5*n - 27 = -3*y. Let f(b) = b**2. Let k(v) = n*f(v) + g(v). Let k(d) = 0. Calculate d.
-1
Let v(r) be the second derivative of 0*r**2 + 0*r**3 + 1/130*r**5 - 9*r + 1/39*r**4 + 0. Suppose v(u) = 0. What is u?
-2, 0
Let l = -1099 - -1099. Let f(p) be the first derivative of 0*p - 4 + 5/4*p**4 - 2/3*p**3 + l*p**2. Factor f(y).
y**2*(5*y - 2)
Let a(b) be the second derivative of b**6/330 + b**5/44 - b**4/12 - b**3/2 - 9*b**2/11 + b + 45. Let a(c) = 0. What is c?
-6, -1, 3
Let t(u) = -u**2 - 25*u + 40. Let w(l) = l**2 + l + 1. Let z(k) = -t(k) - 2*w(k). What is b in z(b) = 0?
2, 21
Let u(r) be the first derivative of 2*r**5/55 + r**4/11 - 2*r**2/11 - 2*r/11 - 70. What is j in u(j) = 0?
-1, 1
Let k be (2 - 2)/((14 - 1) + -15). Let i(v) be the third derivative of 5*v**2 - 1/20*v**6 + 0*v**3 - 1/12*v**4 + 1/105*v**7 + 0*v + 1/10*v**5 + k. Factor i(b).
2*b*(b - 1)**3
Let t = -5/17 + 42/85. Let k(l) be the third derivative of 0 - 1/30*l**4 + 1/150*l**5 + 6*l**2 + 0*l - t*l**3. Factor k(c).
2*(c - 3)*(c + 1)/5
Let r(y) be the first derivative of -27*y**4/4 + 7*y**3 + 40*y**2/3 - 64*y/3 - 82. Find a such that r(a) = 0.
-1, 8/9
Suppose -3*w - 16 = -4*w + 3*h, -2*h = -w + 16. Solve -2*m**3 - w*m - 2*m**3 + 64*m**2 - 44*m**2 = 0.
0, 1, 4
Let g(m) be the first derivative of 5*m**4/4 - 25*m**3/3 + 5*m**2 + 40*m - 180. Factor g(n).
5*(n - 4)*(n - 2)*(n + 1)
Let l = -53 - -31. Let b(n) = 4*n**2 - 3*n + 3. Let h(f) = 15*f**2 - 13*f + 11. Let j(o) = l*b(o) + 6*h(o). Find y such that j(y) = 0.
0, 6
Let u(r) = -11*r**2 - r - 3. Let b(q) = 31*q**2 + q + 8. Let v(a) = -3*b(a) - 8*u(a). Factor v(c).
-5*c*(c - 1)
Let r be -1*(-28)/(-7) + 74/23. Let y = -80/161 - r. Suppose -2/7*t**3 + 2/7*t - y*t**2 + 2/7 = 0. Calculate t.
-1, 1
Suppose 256 = 61*n + 3*n. Let w(q) be the second derivative of q - 1/4*q**3 - 1/20*q**6 + 3/40*q**5 + 0 + 0*q**2 + 1/8*q**n. Determine b, given that w(b) = 0.
-1, 0, 1
Let g(k) = -36*k**2 + 68*k. Let d(n) = -n**3 + n**2. Let s(m) = -2*d(m) + g(m). Factor s(i).
2*i*(i - 17)*(i - 2)
Let 0 + 0*w - 72/5*w**2 - 3/5*w**3 = 0. What is w?
-24, 0
Let t = -91970/3 + 30658. Determine z so that 4*z**2 + t*z**3 - 4 - 4/3*z = 0.
-3, -1, 1
Let n(f) = f**3 + 2*f**2 + f + 2. Let r be n(-3). Let s be r*((-56)/(-15) - 4). Factor 80/3*w + s + 290/3*w**2 + 98/3*w**5 + 350/3*w**4 + 470/3*w**3.
2*(w + 1)**3*(7*w + 2)**2/3
Let j be 24/9*(-6)/(-8). Let r(v) = 74*v - 44*v**2 + 204*v**2 + 6 - 2*v. Let h(o) = -639*o**2 - 288*o - 23. Let t(n) = j*h(n) + 9*r(n). Factor t(u).
2*(9*u + 2)**2
Let b(r) be the first derivative of -r**5/10 + r**4/6 + 12*r - 5. Let m(j) be the first derivative of b(j). Let m(s) = 0. Calculate s.
0, 1
Suppose 8*h - 5*h = 2*f, 0 = -5*f + 15. Determine u, given that -5*u - 88*u**h + 30 + 70*u + 118*u**2 = 0.
-3/2, -2/3
Suppose 2 = -2*z - 2. Let g be -5 - -2 - (-7 - z). Factor 5*p**g - 12*p - 7*p**2 - 6 - 12.
-2*(p + 3)**2
Let s = -6013/4 + 1504. Factor s*k - 1/2 + 0*k**2 - 1/4*k**3.
-(k - 1)**2*(k + 2)/4
Let f = 873/275 + 57/25. Let s = f + -158/33. Let -4/3*x - s - 2/3*x**2 = 0. Calculate x.
-1
Let f(w) be the first derivative of -1/2*w**2 + 11 + 1/9*w**3 + 2/3*w. Factor f(y).
(y - 2)*(y - 1)/3
Let t(x) be the second derivative of -x**6/288 - x**5/96 + 5*x**3/3 + 13*x. Let b(f) be the second derivative of t(f). Let b(q) = 0. What is q?
-1, 0
Let u(b) be the first derivative of 7*b**6/120 + b**5/12 - b**4/12 + 17*b**2 + 13. Let y(s) be the second derivative of u(s). Factor y(c).
c*(c + 1)*(7*c - 2)
Let u(o) = 4*o**3 - 4*o**2 - 54*o + 36. Let z(g) = 54*g - 36 - 2*g**3 + 8*g**3 - 9*g**3 + 4*g**2. Let y(i) = -3*u(i) - 2*z(i). Factor y(h).
-2*(h - 3)*(h + 3)*(3*h - 2)
Let f = 7838 - 7836. Factor -2/3*u**f + 0*u + 0.
-2*u**2/3
Let d(y) be the third derivative of 5/3*y**3 + 15/8*y**4 + 0 + 7/12*y**5 + 0*y + 19*y**2. Find j such that d(j) = 0.
-1, -2/7
Factor -30*n + 5*n**3 - 4*n**3 + 5*n**4 - 32*n**2 + 7*n**2 + 9*n**3.
5*n*(n - 2)*(n + 1)*(n + 3)
Let z be -9 + 646/85 - (-482)/55. Factor z + 1/11*t**2 - 18/11*t.
(t - 9)**2/11
Let s(q) be the first derivative of 3*q**5/40 - 27*q**4/32 + 25*q**3/8 - 81*q**2/16 + 15*q/4 - 118. Factor s(k).
3*(k - 5)*(k - 2)*(k - 1)**2/8
Let v(b) = b**3 + b**2 + 2. Let k be v(0). Suppose -t + 10 = 2*d, 0*t + d = -k*t + 5. Factor t*z**3 + 1/2*z**2 + 0*z - 1/2*z**4 + 0.
-z**2*(z - 1)*(z + 1)/2
Let z(n) = 2*n**5 - 3*n**4 - n**3 + 2*n**2. Let d(k) = -k**4 + k**3. Let w(x) = 2*d(x) - 2*z(x). Factor w(v).
-4*v**2*(v - 1)**2*(v + 1)
Suppose 4 = 2*o - o. Let j be 6 - o*2/8. Factor -6*y**4 - 2*y**4 + j*y**4 + 3*y**3 + 6*y**2.
-3*y**2*(y - 2)*(y + 1)
Let a(f) = -6*f**2 + 23*f. Let m(c) = 2*c**2 - 8*c. Suppose -65 = -6*g + 1. Let i(u) = g*m(u) + 4*a(u). Factor i(d).
-2*d*(d - 2)
Solve a**2 + 11*a + 848 - 34*a - 65*a + a**2 + 120 = 0.
22
Let m(h) be the third derivative of -h**6/60 + h**5/10 + h**4/2 - 8*h**3/3 - 194*h**2. Factor m(a).
-2*(a - 4)*(a - 1)*(a + 2)
Let z(y) be the first derivative of y**4/2 + 46*y**3 + 1587*y**2 + 24334*y + 23. Find q such that z(q) = 0.
-23
Suppose -42*v = 342 - 972. Factor -9/2 - 3/2*m**4 - 18*m**2 - 9*m**3 - v*m.
-3*(m + 1)**3*(m + 3)/2
Let m(t) be the third derivative of 0*t - 47/300*t**5 - 12*t**2 + 13/60*t**4 - 2/15*t**3 + 7/240*t**6 + 0. Find p, given that m(p) = 0.
2/7, 2/5, 2
Let b(c) be the second derivative of 0 + 1/78*c**4 + 121/13*c**2 - 47*c + 22/39*c**3. Let b(i) = 0. Calculate i.
-11
Let g(n) be the second derivative of -5*n + 1/110*n**5 - 1/33*n**4 + 2 + 0*n**2 + 0*n**3. Find k, given that g(k) = 0.
0, 2
Let z(a) be the third derivative of a**10/378000 - a**9/25200 + a**8/5600 - 7*a**5/60 + 19*a**2. Let d(g) be the third derivative of z(g). Factor d(n).
2*n**2*(n - 3)**2/5
Let q(z) = 370*z - 5178. Let n be q(14). Factor -8/5*k - 4/5*k**n - 4/5.
-4*(k + 1)**2/5
Factor -d**2 + 0 + 9/10*d + 1/10*d**3.
d*(d - 9)*(d - 1)/10
Let o(t) = -4*t**2 - 70*t + 116. Let n be o(-19). Factor 9/7*m**n - 6/7*m**3 - 3/7 + 0*m.
-3*(m - 1)**2*(2*m + 1)/7
Let p = 3082 - 3082. Factor 2/3*x**3 + p*x**2 - 1/3 - 2/3*x + 1/3*x**4.
(x - 1)*(x + 1)**3/3
Let x(j) be the second derivative of j**10/40320 + j**9/5040 + j**8/2240 - j**4/2 + 6*j. Let h(w) be the third derivative of x(w). What is g in h(g) = 0?
-2, 0
Let g be (-27)/(-63) + (-6)/14. Suppose h = -g*h + 5. Determine d so that -4*d**2 - 8*d + 7*d**3 + 4*d**5 + 5*d**2 + 4 + d**h - 4*d**5 - 5*d**4 = 0.
-1, 1, 2
Factor 20/11*v + 14/11*v**2 - 2/11*v**3 - 32/11.
-2*(v - 8)*(v - 1)*(v + 2)/11
Suppose -20*y + 577 = -3*y + 509. Solve 8/3 - 4/3*z - 4/3*z**5 + 8/3*z**3 + 8/3*z**y - 16/3*z**2 = 0 for z.
-1, 1, 2
Suppose 0 = -n - n + 32. Suppose 0 = f + 2*f - 5*b - n, -3*b = -4*f + 14. What is j in -9*j + 6 + j**2 - f*j**2 - 2*j**2 + 9*j**3 - 3*j**4 = 0?
-1, 1, 2
Let p be (-2)/(-17) - (-1056)/4896. Factor 5/3*w + w**2 - 1/3*w**3 + 2/3 - p*w**4.
-(w - 2)*(w + 1)**3/3
Let f(m) = 4*m**2. Let k be f(-1). Let t = 6 - k. Factor 45 - 37 - 11*q**3 - 13*q + 18*q**t + 4*q**3 - 7*q + q**4.
(q - 2)**3*(q - 1)
Let v = 5392 - 5389. Solve -34/3*b - 8/3 + 5/3*b**4 - 8/3*b**v - 13*b**2 = 0 for b.
-1, -2/5, 4
Let i(p) be the third derivative of -p**6/270 + 7*p**4/18 + 40*p**3/27 - 22*p**2 - 15. Factor i(c).
-4*(c - 5)*(c + 1)*(c + 4)/9
Suppose -3*h = -0*d + 2*d - 10, 2*d - 6*h + 8 = 0. Suppose -3/4*k**3 + 1/2*k + 5/4*k**d + 0 = 0. Calculate k.
-1/3, 0, 2
Factor -38*o**3 + 2*o**4 - 101 + 101 + 78*o**2 - 38*o - 4*o**3.
2*o*(o - 19)*(o - 1)**2
Let a(b) be the first derivative of 55*b**4/4 + 190*b**3/3 + 50*b**2 - 120*b + 72. Factor a(l).
5*(l + 2)**2*(11*l - 6)
Let i(h) be the first derivative of -h**8/5880 - h**7/980 - h**6/420 - h**5/420 + 13*h**3/3 + 13. Let g(w) be the third derivative of i(w). Factor g(c).
-2*c*(c + 1)**3/7
Let h(g) be the third derivative of g**7/1260 - g**6/144 - g**5/36 + 5*g**4/36 + 2*g**3/3 - 382*g**2. Suppose h(u) = 0. What is u?
-2, -1, 2, 6
Let 9/5*b**4 - 108/5*b**2 - 1/5*b**5 + 0*b**3 + 0 + 0*b = 0. What is b?
-3, 0, 6
Let p(x) be the third derivative of 0 - 1/300*x**6 - 1/12*x**4 - 2/15*x**3 + 0*x + 10*x**2 - 2/75*x**5. Factor p(j).
-2*(