.
2*k**2*(2*k - 1)
Let v(h) = 0*h + 4*h - 5*h. Let a(y) = y**2 - y. Let f(x) = -4*a(x) + 4*v(x). Factor f(d).
-4*d**2
Factor -6*d + 18/7*d**2 + 22/7 + 2/7*d**3.
2*(d - 1)**2*(d + 11)/7
Let z(v) be the first derivative of v**6/36 + v**5/10 - v**4/4 - 4*v**3/9 + 506. Factor z(c).
c**2*(c - 2)*(c + 1)*(c + 4)/6
Let s(k) = -9*k**2 + k. Let d(y) = -8*y**2 + 10 + 11*y**2 - 10. Let v(t) = 17*d(t) + 6*s(t). Factor v(j).
-3*j*(j - 2)
Let z = 128/21 - -55/84. Factor -27*j + z - 16*j**3 + 36*j**2.
-(4*j - 3)**3/4
Factor 17*i - 24 + 1/2*i**3 + 13/2*i**2.
(i - 1)*(i + 6)*(i + 8)/2
Suppose 3/8*s**4 + 0*s + 3/2*s**2 - 3/2*s**3 + 0 = 0. What is s?
0, 2
Let l(z) = 30*z**4 - 125*z**3 + 167*z**2 - 24*z - 48. Let o(x) = -5*x**4 + 21*x**3 - 28*x**2 + 4*x + 8. Let s(c) = 6*l(c) + 39*o(c). Solve s(a) = 0.
-2/5, 1, 2
Let k(j) be the first derivative of j**4 - 22*j**3/3 + 9*j**2 + 112. Factor k(i).
2*i*(i - 1)*(2*i - 9)
Let y(m) be the second derivative of 0*m**3 + 26*m - 1/42*m**6 - 1/42*m**4 + 0*m**2 - 1/20*m**5 + 0. Suppose y(i) = 0. What is i?
-1, -2/5, 0
Determine n so that -13196*n + 1084*n**2 - 60784*n + 72900 + 6583*n**3 - 6587*n**3 = 0.
1, 135
Suppose c + 7 - 9 = 0. Factor 34*i**c - 33*i**2 - 2*i - 1 + 2.
(i - 1)**2
Let s = -8982 + 8982. Let -2/11*h**2 + s + 6/11*h = 0. Calculate h.
0, 3
Let c be 115/1150 + 274/60. Solve 0*u + 0 + 4/3*u**2 - c*u**3 = 0.
0, 2/7
Let p(r) = -2*r**3 + r**2 + r + 1. Let u(t) = 8*t**3 + 45*t**2 - 291*t - 343. Let z(m) = 5*p(m) + u(m). Let z(o) = 0. Calculate o.
-1, 13
Let o(i) be the first derivative of i**3/3 - i**2/2 - 4. Let f(y) = -2*y**3 - 9*y**2 - 35*y - 18. Let h(p) = -f(p) + 5*o(p). What is r in h(r) = 0?
-3, -1
Factor 12*k**2 + 15*k**2 - 140*k**3 - 3*k**2 + 268*k**5 + 56*k**3 - 294*k**4 + 761*k**5.
3*k**2*(7*k - 2)**2*(7*k + 2)
Suppose -5*s = 3*c - 17, -5*c - 9 = 5*s - 34. Suppose -3*m + c*b = -6*m - 4, -m + 12 = -2*b. Factor -3*q**2 + 4/3*q**m + q**3 + 0 + 2/3*q.
q*(q - 1)*(q + 2)*(4*q - 1)/3
Let s(t) be the third derivative of t**5/80 - t**4/64 - t**3/16 + 177*t**2. Determine u so that s(u) = 0.
-1/2, 1
Suppose 0 + 46 = 2*r - 4*t, 0 = -2*r + 5*t + 47. Let u(w) = w**2 + 5*w. Let h(f) = 4*f**2 + 16*f + 1. Let d(b) = r*u(b) - 6*h(b). Factor d(c).
-3*(c - 2)*(c - 1)
Suppose -12/5*v**2 + 0 + 0*v - 14/15*v**3 + 4/3*v**4 - 2/15*v**5 = 0. What is v?
-1, 0, 2, 9
Suppose n = 2, 0 = 5*s + 3*n - 2*n + 5233. Let y = 7377/7 + s. Solve -18/7*g**3 - 26/7*g - y*g**2 - 4/7 = 0.
-2, -1/3
Let d(n) = n**2 - 1. Let u(v) = v**3 - 4*v**2 - 3*v + 16. Let s be u(4). Let p(z) = 2*z**3 - 9*z**2 - 11*z. Let l(i) = s*d(i) + p(i). Find f such that l(f) = 0.
-1, -1/2, 4
Let d(a) be the first derivative of -a**6/15 + 26*a**5/25 - 27*a**4/5 + 184*a**3/15 - 56*a**2/5 + 99. Factor d(l).
-2*l*(l - 7)*(l - 2)**3/5
Let h be (-2)/(-9) + 0 + (-8378)/(-639). Determine i, given that -h*i**2 - 1 + 16/3*i**3 - 23/3*i = 0.
-1/4, 3
Let v be ((-8)/(-3))/((-14)/(-12)). Factor 2/7*o**4 - 6/7*o**3 - v - 4/7*o**2 + 24/7*o.
2*(o - 2)**2*(o - 1)*(o + 2)/7
Let j(d) be the second derivative of 110/9*d**3 + 5/12*d**5 - 55/6*d**4 + 0 + 31*d - 20/3*d**2 + 25/18*d**6. Find f such that j(f) = 0.
-2, 2/5, 1
Let p(m) = -2*m**4 - m**3 - m - 1. Let t(c) = -5*c**4 - c**3 + c**2 - 3*c - 2. Let s(f) = -2*p(f) + t(f). Factor s(k).
-k*(k - 1)**2*(k + 1)
Let 13*x + 11*x**2 - 27 + 12*x - 33 + 15*x - 16*x**2 = 0. What is x?
2, 6
Let i(x) be the third derivative of x**9/45360 - x**7/1260 - x**6/270 - x**5/120 - 11*x**4/12 - 2*x**2. Let g(j) be the second derivative of i(j). Factor g(k).
(k - 3)*(k + 1)**3/3
Find b, given that 4*b**2 - 2*b**2 - 6*b**4 - 3*b**3 - 17*b**4 + 24*b**4 = 0.
0, 1, 2
Find h such that -784/11 + 574/11*h**3 + 14/11*h**5 + 964/11*h**2 - 2520/11*h - 192/11*h**4 = 0.
-2, -2/7, 2, 7
Suppose -136005 + u**3 + 53090 - 68*u**2 - 55771 - 100*u**2 - 36930 + 9408*u = 0. What is u?
56
Let r(g) be the first derivative of -g**6/6 + 17*g**5/20 - 7*g**4/4 + 11*g**3/6 - g**2 + g/4 - 533. Factor r(k).
-(k - 1)**4*(4*k - 1)/4
Let y(r) = -23*r**4 - 53*r**3 - 27*r**2. Let d(z) be the first derivative of -11*z**5/5 - 13*z**4/2 - 14*z**3/3 - 29. Let i(l) = 13*d(l) - 6*y(l). Factor i(c).
-5*c**2*(c + 2)**2
Suppose 3*w - 2 - 4 = 5*m, 0 = m. Let i be ((2 + -2)/(4 - w))/1. Factor 0*g**2 - 3/2*g**5 + 0 + i*g - 9/2*g**4 - 3*g**3.
-3*g**3*(g + 1)*(g + 2)/2
Suppose -193*b = -209*b. Let g(i) be the second derivative of 9*i + b - 18*i**2 - 4*i**3 - 1/3*i**4. Suppose g(q) = 0. What is q?
-3
Find a, given that 104/7*a**2 + 8*a**3 + 4/7*a**4 - 4/7*a**5 + 76/7*a + 20/7 = 0.
-1, 5
Let a be (-2548)/(-868) + (-4)/(-62). Suppose 5*v**4 - 5*v**2 + 15/2*v**a + 0 - 15/2*v**5 + 0*v = 0. What is v?
-1, 0, 2/3, 1
Let d(s) be the first derivative of -3*s**5/100 + s**4/10 + s**3/10 - 3*s**2/5 - 2*s + 28. Let n(z) be the first derivative of d(z). Find q such that n(q) = 0.
-1, 1, 2
Suppose 0 = -27*u - 35*u + 186. Suppose 16/5*i**2 - 4/5*i**u - 14/5*i + 4/5 - 4/5*i**4 + 2/5*i**5 = 0. What is i?
-2, 1
Let v(f) be the first derivative of -5*f**6/6 - 32*f**5 - 1685*f**4/4 - 6670*f**3/3 - 5590*f**2 - 6760*f - 142. Solve v(d) = 0.
-13, -2
Let i(g) = 2*g - 3. Let r be i(7). Let n(y) = -y + 14. Let s be n(r). Determine j, given that -2*j**s - 2*j**5 - 4*j**3 + 4*j**3 + 4*j**4 = 0.
0, 1
Let t = 19 - 14. Suppose -t*a + a + 12 = 0. Factor 2*s**3 + 0*s + 0*s**a - 2*s**4 + 0*s.
-2*s**3*(s - 1)
Let y(i) be the second derivative of -i**5/100 - i**4/20 + 2*i**3/15 - 55*i. Factor y(p).
-p*(p - 1)*(p + 4)/5
Let q = 24 - 34. Let w = q + 10. Factor 0*u**5 - 2*u**2 + 3*u**3 - u**3 + 2*u**4 + w*u**3 - 2*u**5.
-2*u**2*(u - 1)**2*(u + 1)
Let k(w) be the first derivative of -w**4/3 - 28*w**3/9 - 28*w**2/3 - 32*w/3 + 259. Let k(t) = 0. Calculate t.
-4, -2, -1
Let o(a) = 15*a**3 + 19*a**2 + 6*a. Let i(r) = -3*r + 22. Let g be i(9). Let j(m) = -30*m**3 - 37*m**2 - 12*m. Let s(c) = g*o(c) - 2*j(c). Factor s(u).
-3*u*(u + 1)*(5*u + 2)
Let c = -16/3 + 6. Suppose 17*w - 15 = 34*w - 22*w. Suppose 2/3*u**2 + 0*u**w - c*u**4 + 0 + 0*u = 0. Calculate u.
-1, 0, 1
Let a(z) be the second derivative of z**4/90 - z**3/9 + 4*z**2/15 - 13*z + 2. Factor a(l).
2*(l - 4)*(l - 1)/15
Let c(l) be the second derivative of -l**5/8 + l**4/2 + 3*l**3/4 - 62*l. Factor c(u).
-u*(u - 3)*(5*u + 3)/2
Let q(p) be the second derivative of 9*p**5/100 - p**4/2 - 81*p**3/10 + 42*p**2/5 + 3*p - 7. Find f, given that q(f) = 0.
-4, 1/3, 7
Factor -20/3*m - 32/3 - 2/3*m**2.
-2*(m + 2)*(m + 8)/3
Let z(j) be the first derivative of 16 - 1/18*j**3 - 6*j + j**2. Factor z(c).
-(c - 6)**2/6
Let j(u) = u**3 - 5*u**2 + 2*u + 35. Let b be j(-2). What is l in -3/4*l**3 + b*l - 3/2*l**2 + 6 = 0?
-2, 2
Let z(c) = c**2 + c - 1. Suppose 31 = -5*q + 11. Let n = -2 + q. Let y(f) = -5*f**2 - 9*f + 8. Let w(o) = n*z(o) - y(o). Factor w(i).
-(i - 2)*(i - 1)
Let t = -1930 - -1933. Find n, given that -2/3*n**2 + 16/3*n**3 - 7/3*n - t*n**5 + 2/3 + 0*n**4 = 0.
-1, 1/3, 2/3, 1
Let b be ((-6)/(-8))/((-66)/(-22)). Let d(m) be the second derivative of -m + b*m**4 + 0 - 1/2*m**3 + 0*m**2. Factor d(n).
3*n*(n - 1)
Let g = 14085 - 7901683/561. Let p = 1699/4488 - g. What is z in 9/8*z**2 - 3/4*z**4 + 3/8*z**3 - p - 3/8*z = 0?
-1, -1/2, 1
Let r be -1 + (-2 - (-57)/15). Let a = -2 - -16/5. Let r*y**3 + 6/5*y**4 - a*y - 2/5 + 2/5*y**5 - 4/5*y**2 = 0. Calculate y.
-1, 1
Let i(z) be the second derivative of -z**6/360 + z**4/72 - z**2/2 + 13*z. Let b(x) be the first derivative of i(x). Suppose b(m) = 0. What is m?
-1, 0, 1
Let l(m) = 2*m**2 + 9*m - 1. Let c be l(-5). Factor -12*j + 4 + 5*j**3 + 23*j**4 + 7*j**3 - 6*j**c - j**4 - 20*j**2.
4*(j - 1)*(j + 1)**2*(4*j - 1)
Suppose 55*d + 66*d - 242 = 0. Solve -1/4*h**d - 1/4*h + 1/4*h**4 - 1/2*h**5 + 3/4*h**3 + 0 = 0.
-1, -1/2, 0, 1
Suppose -5*h - 249 - 746 = 0. Let j = -1390/7 - h. Determine p so that j*p**2 - 6/7*p + 3/7 = 0.
1
Solve -199*j + 0*j**2 - 2916 - 154*j - 237*j - j**2 + 698*j = 0.
54
Let t(r) be the first derivative of 2*r**4 + 28*r**3/3 + 14*r**2 + 8*r + 108. Factor t(o).
4*(o + 1)*(o + 2)*(2*o + 1)
Let k be 4/30 + 1022/210. Factor -2*d**k - 8*d**2 + 13*d**3 - 43*d**3 - 8*d**4 + 18*d**3 - 2*d.
-2*d*(d + 1)**4
Solve -44*o**3 + 0*o - 8*o**2 + 52*o**3 + 32*o**4 + o - 3*o = 0.
-1/2, -1/4, 0, 1/2
Let p(a) = -3*a**4 + 3*a**3 + a**2 + 5. Let w = 28 - 33. Let d(k) =