*a + 2/7*a**p + l*a**3 + 0 = 0 for a.
-2, 0, 1
Suppose 0*s**3 - 2/9*s**4 - 4/9*s + 2/3*s**2 + 0 = 0. Calculate s.
-2, 0, 1
Let f(g) be the first derivative of -5 - 28/3*g**3 - 38*g**2 + 24*g. Determine v, given that f(v) = 0.
-3, 2/7
Let n(h) = 2*h**3 - 14*h**2 - 96*h + 508. Let t(r) = 4*r**3 - 30*r**2 - 192*r + 1018. Let o(y) = -5*n(y) + 2*t(y). Solve o(q) = 0 for q.
-7, 6
Factor 0 - 3/4*u + 3*u**4 + 9/2*u**2 - 27/4*u**3.
3*u*(u - 1)**2*(4*u - 1)/4
Let f(b) = 10*b + 5. Let c be f(7). Factor -57*l**3 - c*l**2 + 2*l - 4*l + 142*l**3 - 8*l.
5*l*(l - 1)*(17*l + 2)
Let z(b) be the third derivative of -b**5/210 - 3*b**4/7 + 76*b**3/21 - 2*b**2 + 51. Find y, given that z(y) = 0.
-38, 2
Let b be 66/(-55)*(105/6)/(-7). Let v(d) be the first derivative of -2 - 2*d**2 + 0*d + 4/3*d**b. Factor v(l).
4*l*(l - 1)
Let r(p) = p + 6. Let k be r(-4). Determine v, given that 611*v**5 + 0*v**2 - 607*v**5 + 0*v**k = 0.
0
Let s(b) = -b**3 + 2*b**2 + 4*b - 5. Let h be s(1). Let w(m) be the second derivative of 1/40*m**5 + 1/24*m**4 - 3*m - 1/4*m**2 - 1/12*m**3 + h. Factor w(c).
(c - 1)*(c + 1)**2/2
Let d(x) be the first derivative of -7*x**6/12 - x**5/2 + 9*x**4/8 + 5*x**3/6 - x**2/2 - 92. Determine n, given that d(n) = 0.
-1, 0, 2/7, 1
Let j be 3 + (3/4 - 627/156). Let t = -11/234 - j. Suppose -t*a**3 + 0 + 2/9*a**4 + 2/9*a - 2/9*a**2 = 0. What is a?
-1, 0, 1
Let a(m) = -8*m**5 - 6*m**4 + 4*m**3 - 12*m**2 - 2*m. Let j(l) = l**5 + l**4 + 2*l**2. Let g(w) = a(w) + 6*j(w). Find r such that g(r) = 0.
-1, 0, 1
Let l(k) be the third derivative of -k**5/270 - 37*k**4/54 - 1369*k**3/27 + 12*k**2 + k. Factor l(u).
-2*(u + 37)**2/9
Let x = 114 - 74. Let p be (-1)/(-2*25/x). Find l such that -8/5*l**3 + 0 + p*l**2 - 4/5*l**4 + 8/5*l = 0.
-2, -1, 0, 1
Let a(k) be the first derivative of -k**4/2 + 7*k**2 - 12*k + 55. Determine l so that a(l) = 0.
-3, 1, 2
Let i = -1033/2 + 518. Let p(o) be the first derivative of -i*o**2 - 5/3*o**3 - 1 + 2*o. Find d such that p(d) = 0.
-1, 2/5
Suppose 6*t - u = 2*t + 5, u + 5 = 0. Suppose 5*k + 17 = -4*l - t*l, 3*k = -15. Factor j**4 + 0*j**4 - j**l + 0*j**4.
j**2*(j - 1)*(j + 1)
Let k(s) be the second derivative of s**7/2100 - s**5/300 - 4*s**3/3 - 2*s. Let b(w) be the second derivative of k(w). Factor b(n).
2*n*(n - 1)*(n + 1)/5
Let x = -409319/180 + 2274. Let q(t) be the third derivative of -x*t**5 - 1/72*t**4 - 5*t**2 + 0*t + 1/360*t**6 + 0 + 0*t**3 + 1/630*t**7. Factor q(i).
i*(i - 1)*(i + 1)**2/3
Let d(r) be the second derivative of -2*r**6/15 + 76*r**5/5 - 1366*r**4/3 - 1976*r**3 - 3042*r**2 + 207*r. Find n, given that d(n) = 0.
-1, 39
Determine o so that -9*o + 109*o - 207*o**2 + 202*o**2 = 0.
0, 20
What is y in -25/7*y + 4/7*y**2 - 4 + 1/7*y**3 = 0?
-7, -1, 4
Suppose -165 = 8*j - 69. Let h(p) = p**2 + 12*p + 2. Let y be h(j). Suppose 0 - 2/9*u - 4/9*u**y - 2/9*u**3 = 0. Calculate u.
-1, 0
Let t(j) be the first derivative of j**7/168 + j**6/24 + j**5/8 + 5*j**4/24 - 11*j**3/3 - 14. Let g(z) be the third derivative of t(z). Factor g(r).
5*(r + 1)**3
Suppose -l = -7*z - 44, -3*l + 5*z + 28 = -4*l. Solve -2/3*w**l + 2/15*w**3 + 0 + 8/15*w = 0 for w.
0, 1, 4
Let x(z) be the first derivative of z**3/9 + 23*z**2/6 + 22*z/3 - 74. Suppose x(j) = 0. Calculate j.
-22, -1
Find z such that 0 - 8/3*z - 16/3*z**3 - 20/3*z**2 - 4/3*z**4 = 0.
-2, -1, 0
Find s such that 12 - 38 - 16*s + 2 - 4*s + 4*s**2 = 0.
-1, 6
Determine j, given that -10/3 + 4/3*j + 11/6*j**2 + 1/6*j**3 = 0.
-10, -2, 1
Let d be (136/(-408))/((-2)/4). Find q, given that 0 + d*q - 1/3*q**2 = 0.
0, 2
Determine l, given that -2*l**4 - 2/7*l**5 - 36/7*l**3 + 0 - 40/7*l**2 - 16/7*l = 0.
-2, -1, 0
Find c such that 4*c**3 + 75*c**2 - 4 + 0*c**3 + 124 + 244*c + 53*c**2 = 0.
-30, -1
Let a(i) be the second derivative of i**6/10 + 6*i**5/5 + 17*i**4/4 + 5*i**3 - 53*i. Factor a(s).
3*s*(s + 1)*(s + 2)*(s + 5)
Let d(a) be the second derivative of -a**4/6 + 2*a**3/3 + 3*a**2 + 47*a. Factor d(p).
-2*(p - 3)*(p + 1)
Let t(m) be the second derivative of -m**4/3 - 16*m**3/3 + 40*m**2 + 116*m. Factor t(z).
-4*(z - 2)*(z + 10)
Let c(a) = a + 30. Let d be c(-25). Let t be (d + -5)/7*(-2)/2. Factor t*y - 14/3*y**3 + 6*y**4 - 4/3*y**2 + 0.
2*y**2*(y - 1)*(9*y + 2)/3
Let v be 1/(-2)*(108/(-15) + -4). Factor -17/5*k - 2/5 - v*k**3 - 43/5*k**2.
-(k + 1)*(4*k + 1)*(7*k + 2)/5
Factor -99*l**2 + 95*l**2 - 1336 - 67*l + 40 - 77*l.
-4*(l + 18)**2
Let h(o) be the second derivative of o**6/10 + 33*o**5/10 - o**4/4 - 11*o**3 + 3*o - 2. What is z in h(z) = 0?
-22, -1, 0, 1
Let h(w) be the first derivative of -w**3/2 + 6*w**2 - 97. Factor h(c).
-3*c*(c - 8)/2
Let w(m) = -m**2 + m - 1. Let q(v) be the first derivative of v**4/2 - 5*v**3/3 - 9*v**2/2 - 3*v - 12. Let d(a) = -q(a) + 3*w(a). Factor d(u).
-2*u*(u - 3)*(u + 2)
Let a(i) = -7*i**5 - 4*i**4 + 6*i**3 + 14*i**2 - i. Let h(t) = 6*t**5 + 3*t**4 - 7*t**3 - 14*t**2. Let g(q) = -5*a(q) - 6*h(q). Factor g(p).
-p*(p - 5)*(p + 1)**3
Let 15/2*z + 6 - 3/4*z**3 + 3/4*z**2 = 0. What is z?
-2, -1, 4
Factor 120 + 125*d - 674*d**2 - 675*d**2 + 2034*d**2 - 680*d**2.
5*(d + 1)*(d + 24)
Let c(o) be the third derivative of -o**7/1120 - o**6/240 + o**5/160 + o**4/16 - 13*o**3/6 - 4*o**2. Let i(h) be the first derivative of c(h). Factor i(r).
-3*(r - 1)*(r + 1)*(r + 2)/4
Suppose -4*v + 5*w + 97 = 0, 3*v - 18 = w + 41. Let x = v - 84/5. Let 6/5*m**2 - 3/5*m**3 + 0 + 3/5*m - x*m**4 = 0. Calculate m.
-1, -1/2, 0, 1
Let n = 247 + -245. Let r be (1 + (-1)/1)/n. Factor -2/5*d + r*d**2 + 2/5*d**3 + 0.
2*d*(d - 1)*(d + 1)/5
Let r be (74/111)/((-4)/(-18)). Let n(k) be the third derivative of -3*k**2 + 0*k**r + 0*k + 0 - 1/42*k**4 + 1/210*k**5. Factor n(d).
2*d*(d - 2)/7
Let m(x) be the first derivative of 3*x**6/160 + x**5/120 + 3*x**2 - 10. Let r(z) be the second derivative of m(z). Factor r(a).
a**2*(9*a + 2)/4
Let r(d) be the first derivative of 2*d**2 - d**4 - 5*d**3 - 17 + 9*d**3 - 2*d**2. Let r(s) = 0. Calculate s.
0, 3
Suppose 2*g = -15 + 3. Let q(c) = -5*c**2 - 2*c - 5. Let p(w) = w**2 + 1. Let x = 13 - 14. Let z(j) = g*p(j) + x*q(j). Find b such that z(b) = 0.
1
Let o = -19/63 - -22/63. Let d(l) be the first derivative of -3 - 12/35*l**5 + 0*l - 16/21*l**3 - o*l**6 - 6/7*l**4 + 0*l**2. Suppose d(u) = 0. What is u?
-2, 0
Suppose 3*y = -2*y - 2*x + 12, 4*y = 3*x + 5. Factor 5*q**3 + 5*q**y - 45*q + 45*q.
5*q**2*(q + 1)
Determine l so that -l**4 + 4 + 1/3*l**5 - 17/3*l**3 - 3*l**2 + 16/3*l = 0.
-2, -1, 1, 6
Let c = 22 + -20. Solve -2*j**2 - 41 + c*j + 40 + j**2 = 0.
1
Let x(j) be the second derivative of -j**5/20 + 5*j**4/12 + j - 79. Factor x(l).
-l**2*(l - 5)
Let w be (-33)/132 + 1*(-1)/(-4). Let c(t) be the second derivative of 4/3*t**4 - 2/21*t**7 + w*t**3 - t + 0*t**2 + 0 + 0*t**5 - 2/5*t**6. Factor c(o).
-4*o**2*(o - 1)*(o + 2)**2
Let b(o) = 2*o**3 - 24*o**2 - 22*o - 4. Let a(j) be the first derivative of j**4/4 - 8*j**3/3 - 7*j**2/2 - j + 4. Let v(n) = 8*a(n) - 3*b(n). Factor v(f).
2*(f + 1)**2*(f + 2)
Let u be ((-240)/100)/((-36)/45). Factor 0*d**2 + 4/11*d**u + 0 - 2/11*d**4 + 0*d.
-2*d**3*(d - 2)/11
Let o(t) be the second derivative of t**7/2 + 37*t**6/10 + 39*t**5/5 + 3*t**4 + 5*t + 2. Find a, given that o(a) = 0.
-3, -2, -2/7, 0
Let a be 1 - (-3)/3 - 2. Suppose 6*q - 8*q - 2 = a, 2*w + 3*q = 1. Solve 4/5 + 16/5*r**w - 4/5*r**3 + 2/5*r**5 - 14/5*r - 4/5*r**4 = 0 for r.
-2, 1
Let f(v) be the third derivative of -2/165*v**5 + 3*v**2 + 0 + 0*v - 1/44*v**4 + 0*v**3. Factor f(y).
-2*y*(4*y + 3)/11
Let l(k) be the third derivative of 0 + 5/6*k**3 - 5/8*k**4 + 1/4*k**5 - 1/24*k**6 + 0*k - 20*k**2. Factor l(q).
-5*(q - 1)**3
Let g(q) be the second derivative of -q**7/14 - 41*q**6/10 - 717*q**5/10 - 599*q**4/2 - 1121*q**3/2 - 1083*q**2/2 - 25*q - 2. Find n such that g(n) = 0.
-19, -1
Let x(z) = 2*z**3 - z**2 + z + 2. Let j be x(-2). Let c = j + 25. Factor 6*k**3 + 0*k**5 - 3*k**5 + 2*k - c*k.
-3*k*(k - 1)**2*(k + 1)**2
Let h = -94 - -73. Let g be 54/21 - (-12)/h. Factor 0*z + 0 - 2/3*z**3 - 2/3*z**g.
-2*z**2*(z + 1)/3
Suppose 0 = 5*h - k - 870, -h - 4*k = -5*k - 174. Let v = h - 866/5. Factor 8/5*i - v*i**2 + 0.
-4*i*(i - 2)/5
Let c(j) = -4*j**2 - j - 6. Let p(q) = -3*q**2 - 4. Let n(d) = -4*c(d) + 5*p(d). Determine w so that n(w) = 0.
-2
Let h be (-1 - -3)*(-2 + 4). Factor -20*l