-1, 0, 1, 7
Let h be (4 - (-77)/(-14))*(-64)/6. Suppose 24*t = h*t + 24. Suppose 1/3*k**4 - 1/6*k + 2/3*k**2 + 0 - 5/6*k**t = 0. Calculate k.
0, 1/2, 1
Suppose -6*a = -3*a + 36. Let n be (-60)/(-24)*a/(-15). Factor 3*r + 6/5 + 9/5*r**n.
3*(r + 1)*(3*r + 2)/5
Let x(g) be the first derivative of -g**6/30 + 2*g**5/25 + 7*g**4/20 + 4*g**3/15 - 95. Factor x(s).
-s**2*(s - 4)*(s + 1)**2/5
Let l(v) be the first derivative of -v**3/12 - 25*v**2/4 - 196. Factor l(d).
-d*(d + 50)/4
Let k be -6 - ((-36)/9 + -6). Let s(f) be the second derivative of 1/45*f**6 + 8/9*f**3 - f**2 - f - 1/3*f**k + 0*f**5 + 0. Solve s(r) = 0 for r.
-3, 1
Let o = -11 - -13. Factor -2*a**o - 5*a - 3*a + 4*a.
-2*a*(a + 2)
Let k(m) be the first derivative of -2/11*m**2 + 2/11*m + 2/33*m**3 + 5. Find o, given that k(o) = 0.
1
Suppose 3*b = 6, 0*m + 2*m - 200 = 4*b. Let l = m + -101. Factor -5/2*i**2 + 15/4*i**l - 5/4*i**4 + 0 + 0*i.
-5*i**2*(i - 2)*(i - 1)/4
Let p = 494 - 492. Let m(j) be the second derivative of 7/12*j**4 - 2*j**2 + 4*j + p*j**3 + 0. Factor m(f).
(f + 2)*(7*f - 2)
Let a(z) be the second derivative of z**5/4 + 155*z**4/12 - 80*z**3/3 + 798*z - 2. Find t such that a(t) = 0.
-32, 0, 1
Factor -29/3 - 10*b**2 - 1/6*b**3 - 39/2*b.
-(b + 1)**2*(b + 58)/6
Let f = -110/43 - -1822/645. Factor f*p**5 + 2/15*p**2 + 0*p + 0 - 2/5*p**4 + 0*p**3.
2*p**2*(p - 1)**2*(2*p + 1)/15
Let u(t) = 23*t**2 + 8*t - 4 - 22*t**2 - 3*t. Let j be u(-6). Factor 3/4*n**3 + 0 - 1/4*n**j + 0*n - 3/4*n**4 + 1/4*n**5.
n**2*(n - 1)**3/4
Let 58/3*j**2 + 594 - 186*j - 2/3*j**3 = 0. Calculate j.
9, 11
Let p(d) = 9*d**4 + d**3 + 9*d**2 - 8*d - 4. Let t(j) = -5*j**4 - j**3 - 5*j**2 + 5*j + 2. Let w(z) = -4*p(z) - 7*t(z). Solve w(m) = 0.
-1, 1, 2
Let x(u) be the first derivative of -2/3*u**6 - 4/5*u**5 + 28 + u**4 + 0*u**2 + 4/3*u**3 + 0*u. Factor x(v).
-4*v**2*(v - 1)*(v + 1)**2
Let p(m) be the first derivative of 7*m**4/16 - 55*m**3/6 + 73*m**2/8 + 15*m/2 + 290. Factor p(r).
(r - 15)*(r - 1)*(7*r + 2)/4
Let p(v) be the third derivative of 1/30*v**5 + 1/27*v**3 + 25*v**2 - 1/18*v**4 + 0 - 1/135*v**6 + 0*v. Suppose p(a) = 0. What is a?
1/4, 1
Let b(j) be the second derivative of j**4/18 - 2*j**3/3 - 7*j**2/3 - 343*j. Find q such that b(q) = 0.
-1, 7
Let w(v) be the first derivative of 5 - 3/2*v - 3/4*v**2 + 1/2*v**3 + 3/8*v**4. Determine g, given that w(g) = 0.
-1, 1
What is k in -3*k**3 + 0*k**5 - 4*k**5 - 26*k**4 - k**3 + 22*k**2 - 28*k**4 + 8*k + 40*k**4 - 8 = 0?
-2, -1, 1/2, 1
Let m = 66 + 128. Factor -194 + m - v + v**2.
v*(v - 1)
Suppose -4*y = -7*y. Suppose y = 5*o - 2*o - 6. Find x, given that 8*x**2 + 23*x**3 - 3*x**3 + 5*x**4 + 12*x**o = 0.
-2, 0
Factor -144 + 60*v**4 + 47*v**2 + 170*v**3 + 45*v**2 - 10*v**4 - 168*v.
2*(v - 1)*(v + 2)*(5*v + 6)**2
Let w(m) be the third derivative of -1/6*m**4 - 1/15*m**5 + 9*m**2 + 0 + 1/72*m**6 + 0*m - 5/6*m**3. Let t(i) be the first derivative of w(i). Factor t(s).
(s - 2)*(5*s + 2)
Let o(m) be the first derivative of -2*m**3/15 + 27*m**2/5 + 116*m/5 - 240. Solve o(q) = 0 for q.
-2, 29
Let g = -79 + 78. Let j = g - -3. Factor 0*d**j + 4/5*d**4 + 0 + 0*d + 2/5*d**5 + 2/5*d**3.
2*d**3*(d + 1)**2/5
Let t = -7 - -9. Let a(y) = -y**3 + 3*y**2 - 1. Let f be a(t). Factor 2*q**f - 4*q**4 + q**2 - 2*q - 4 + 2*q**4 + 5*q**2.
-2*(q - 2)*(q - 1)*(q + 1)**2
Let z be 24*(-3)/((-36)/8). Let t be 34/z + 4/(-32). Factor -2/5*v**t + 2/5 + 0*v.
-2*(v - 1)*(v + 1)/5
Let u(z) = -39*z**3 + 60*z**2 + 3*z - 60. Let s(a) = 11*a**3 - 17*a**2 - a + 17. Suppose 5*w = 10*w + 90. Let v(f) = w*s(f) - 5*u(f). Factor v(b).
-3*(b - 2)*(b - 1)*(b + 1)
Let o(q) = 11*q**2 + 6*q + 2*q + q**3 - 5*q + 5*q. Let u(k) = k**3 - k**2 - k. Let n(f) = o(f) + 2*u(f). Factor n(d).
3*d*(d + 1)*(d + 2)
Let o(d) be the first derivative of -4*d**3/3 + 84*d**2 - 1764*d + 164. Suppose o(x) = 0. What is x?
21
Let s(k) be the second derivative of k**7/231 + 2*k**6/15 - 63*k**5/55 + 118*k**4/33 - 17*k**3/3 + 54*k**2/11 - 87*k. Determine i, given that s(i) = 0.
-27, 1, 2
Let o(x) be the second derivative of 1/2*x**2 + 0 + 0*x**3 - 1/12*x**4 - 13*x. Factor o(z).
-(z - 1)*(z + 1)
Suppose 10*t**2 + 9*t**3 + 26*t**4 + 8*t**3 - 3*t**5 - 39*t**4 + 4*t**5 + 21*t**4 = 0. Calculate t.
-5, -2, -1, 0
Let j be 2 + 0 - (-21 - 45). Let i = j - 66. Factor -1 - 1/4*q**i + q.
-(q - 2)**2/4
Let z(d) = -d**2 - 3*d + 15. Let f be z(-5). What is n in 388*n**2 + 5*n**4 - 393*n**2 + f*n**3 + n - 4*n - 2*n = 0?
-1, 0, 1
Let v be 2/(-5)*(-49 + (-5 - -4)). Let g be (3/9)/(30/v). Let 2/9*n**3 - 2/3*n**2 + 2/3*n - g = 0. Calculate n.
1
Let i = 1577/1386 + 1/198. Factor 8/7*m**3 + 2/7*m**4 - i + 6/7*m**2 - 8/7*m.
2*(m - 1)*(m + 1)*(m + 2)**2/7
Let c(w) = -2*w**5 + 3*w**4 + 9*w**3 - w**2. Let m(f) = -2*f**5 + 2*f**4 + 8*f**3 - 2*f**2. Let p(d) = -2*c(d) + 3*m(d). Let p(a) = 0. Calculate a.
-2, 0, 1
Suppose 0 = 2*l - 0*l - 8. Factor -5*r**4 - 4*r**5 - 11*r**l + 12*r**4.
-4*r**4*(r + 1)
Let o(p) be the first derivative of -p**6/3 - 14*p**5/5 - 5*p**4/2 + 14*p**3/3 + 6*p**2 - 13. Let o(c) = 0. Calculate c.
-6, -1, 0, 1
Factor -7*k**4 + 5*k**4 + 2*k**5 - k**4 - 6*k**3 - k**4.
2*k**3*(k - 3)*(k + 1)
Let c = 56 + -51. Let 3*b + 7*b**5 - b - 4*b**3 - c*b**5 = 0. Calculate b.
-1, 0, 1
Let a(w) = -2*w**3 - 44*w**2 + 108*w - 54. Let j(s) = -6*s**3 - 129*s**2 + 325*s - 162. Let b(f) = -7*a(f) + 2*j(f). Factor b(n).
2*(n - 1)**2*(n + 27)
Let k(f) be the third derivative of -f**6/60 + 21*f**5/40 + f**4/3 - f**2 - 2. Solve k(a) = 0.
-1/4, 0, 16
Let z = 2435 - 4723/2. Let -3/2*u**2 - z + 21*u = 0. Calculate u.
7
Let a(k) be the third derivative of k**7/1365 - 7*k**6/780 + k**5/39 + 35*k**2. What is c in a(c) = 0?
0, 2, 5
Let n(w) be the second derivative of -7*w**5/160 + w**4/4 - w**3/4 - 9*w**2 - 6*w. Let f(c) be the first derivative of n(c). Factor f(q).
-3*(q - 2)*(7*q - 2)/8
Let u be ((-6)/(-12))/(3/(-6)). Let k = u + 3. Determine f so that 5*f**3 - 2*f**k + f**3 - 4*f**3 = 0.
0, 1
Suppose 32*t = -19*t + 357. Let n(c) be the first derivative of 8/3*c**2 + t + 2/9*c**3 + 8/3*c - 1/2*c**4. Factor n(o).
-2*(o - 2)*(o + 1)*(3*o + 2)/3
Let l(j) be the first derivative of 2/15*j**2 + 2/75*j**5 - 8/45*j**3 - 38 - 1/15*j**4 + 2/5*j. Determine n so that l(n) = 0.
-1, 1, 3
Suppose 671 = 12*b + 623. Let i(k) be the first derivative of b*k**2 - 8 + 8*k + 2/3*k**3. Let i(m) = 0. What is m?
-2
Let i(w) = -3*w**3 + 16*w**2 - 62*w + 72. Let s(l) = 4*l**3 - 17*l**2 + 63*l - 72. Let d(v) = -6*i(v) - 4*s(v). Factor d(x).
2*(x - 6)**2*(x - 2)
Let q(b) be the second derivative of b**4/14 - 12*b**2/7 - 72*b + 1. Factor q(k).
6*(k - 2)*(k + 2)/7
Let -4*c + 2*c + 0*c - 2*c**2 - 8*c = 0. What is c?
-5, 0
Let l = 39 + -36. Suppose 0 = 5*x - 4*p - 18, 5*p - 2 = -l*x + 3*p. Factor -2/3*z**2 - 2/3*z**5 + 0 + 0*z - x*z**4 - 2*z**3.
-2*z**2*(z + 1)**3/3
Suppose -5*p + 14 = 2*n - 5*n, -3*n - 4*p = 32. Let r be (n/14)/((-7)/14). Determine l, given that 24/7*l**3 - r*l**2 + 0*l + 2*l**4 + 0 = 0.
-2, 0, 2/7
Let d be 3/((-1 - -6)/(-31 + 36)). Factor 1/4*r**2 + 1/2*r - 1/4*r**4 + 0 - 1/2*r**d.
-r*(r - 1)*(r + 1)*(r + 2)/4
Factor 2/9*s**2 + 116/9 - 62/9*s.
2*(s - 29)*(s - 2)/9
Suppose 2*y - 6*y - 16 = -4*w, 3*y + 10 = 2*w. Factor -w*t**2 + 3*t**2 - 9 - 6*t + 2*t**2.
3*(t - 3)*(t + 1)
Let q be (-9)/(-4) - 1/4. What is a in -2*a**2 + 7*a**q - 24 + 5*a + 14 = 0?
-2, 1
Suppose 0 = -x + u, -16*x + 12*x + 3*u = -2. Suppose -5*n + 17 - x = 0. Determine w, given that 2/3*w**n + 2*w + 2/3 + 2*w**2 = 0.
-1
Let d(b) be the first derivative of 5*b**3/3 + 35*b**2 + 120*b + 38. Solve d(q) = 0 for q.
-12, -2
Let k(c) be the first derivative of -c**5/20 + c**4/4 - 2*c**2 + 25*c - 20. Let x(r) be the first derivative of k(r). Factor x(j).
-(j - 2)**2*(j + 1)
Let n(l) be the first derivative of 8*l**5/55 - 2*l**4/11 - 26*l**3/11 - 34*l**2/11 - 16*l/11 + 185. Determine u so that n(u) = 0.
-2, -1/2, 4
Let i be -9*2/(-60)*(-10)/35. Let k = 111/70 + i. Factor 0 + k*g + 3/2*g**2.
3*g*(g + 1)/2
Let b(d) = -10*d**3 + 12*d**2 + 18*d - 7. Let y(r) = -r**2 + r + 1. Let u = 26 + -27. Let h(l) = u*b(l) + 3*y(l). Solve h(z) = 0 for z.
-1, 1/2, 2
Let j be (6/30)/((-2)/(-5)). Suppose 10*g = 8*g + 10, -3*g + 11 = -2*c. Solve 0 + 0*n + n**c + j*n**3 - 1/2*n**4 = 0.
-1, 0, 2
Let r(w) be the first derivative of -2*w**4 + 0*w**3 