*3 - 16/5 - 22/5*u**2 + 2/5*u**4 = 0.
-4, 1, 2
Let u(f) be the second derivative of f**7/252 - f**6/60 - f**5/40 + 7*f**4/72 + f**3/6 - 14*f + 2. Factor u(v).
v*(v - 3)*(v - 2)*(v + 1)**2/6
Let l = -2191 + 10957/5. Find j, given that l*j**2 + 32/5 - 16/5*j = 0.
4
Factor -240 + 31*d - 104*d - 60*d**2 - 12*d**2 - 106*d - 3*d**3 - 73*d.
-3*(d + 2)**2*(d + 20)
Let t(d) be the second derivative of -d**7/105 + d**6/15 - 3*d**5/25 - d**4/15 + 7*d**3/15 - 3*d**2/5 - 130*d. Determine k, given that t(k) = 0.
-1, 1, 3
Let f(s) be the third derivative of 2*s**7/105 - s**6/6 + 8*s**5/15 - 2*s**4/3 - 5*s**2 - 6. Factor f(g).
4*g*(g - 2)**2*(g - 1)
Suppose -x + 0 - 14 = 0. Let r be (-5)/5 - 22/x. Factor -2/7*y**2 + 2/7*y + r.
-2*(y - 2)*(y + 1)/7
Let u = -933 - -935. Let 2/5*f**4 + 0 + 2/5*f**3 + 0*f**u + 0*f = 0. What is f?
-1, 0
Solve 14 - 35*f**2 + f**4 + 38 - f**5 - 58*f**3 - 14*f**3 + 56*f + 17*f**3 - 18*f**4 = 0 for f.
-13, -2, -1, 1
Let p = 2 - 8. Let h(b) = b + 8. Let m be h(p). Solve -6*r - 21*r**m - 21*r**3 - 8*r**4 + 2*r**4 - 7*r**3 + 7*r**3 = 0 for r.
-2, -1, -1/2, 0
Suppose 76/3*n**2 + 220/9*n - 8/9 = 0. What is n?
-1, 2/57
Let y(x) = -20*x**4 + 3*x**3 + 23*x**2 + 17*x + 17. Let j(a) = -7*a**4 + a**3 + 8*a**2 + 6*a + 6. Let s(u) = 17*j(u) - 6*y(u). Solve s(c) = 0.
-1, 0, 2
Let l(d) be the third derivative of d**6/1260 + d**5/140 + 7*d**3/3 - 47*d**2. Let m(q) be the first derivative of l(q). Factor m(i).
2*i*(i + 3)/7
Let n(o) be the first derivative of 6*o**5/19 - 47*o**4/38 + 4*o**3/19 + 500. Find w, given that n(w) = 0.
0, 2/15, 3
Let x(h) = h**5 + h**3 + h**2 - h - 1. Let i(z) = -8*z**5 - 2*z**4 - 27*z**3 - 41*z**2 - 14*z + 3. Let g(l) = -4*i(l) - 36*x(l). Find v such that g(v) = 0.
-1, 6
Let y(b) be the first derivative of 2*b**5/5 + 23*b**4/2 - 2*b**3/3 - 23*b**2 - 307. Find q such that y(q) = 0.
-23, -1, 0, 1
Let t(y) be the second derivative of -y**6/30 - y**5/20 + y**4/6 - 4*y - 10. Factor t(b).
-b**2*(b - 1)*(b + 2)
Suppose 2*t - 4 = -5*c, -7 = c + 3*c + 5*t. Suppose 3*i - 4*i - 3 = 0, -4*w - 2*i + 6 = 0. Factor c*b**2 + 6*b - w*b**2 + 0*b**2 + 4*b**2.
3*b*(b + 2)
Factor 11/4*n + 3/2 + n**2 - 1/4*n**3.
-(n - 6)*(n + 1)**2/4
Let f(q) be the second derivative of 1/3*q**3 - 1/4*q**2 - 1/10*q**5 + 1/24*q**4 + 16*q + 0. Factor f(s).
-(s - 1)*(s + 1)*(4*s - 1)/2
Suppose -2/5*a**2 + 0 + 4/5*a**3 - 2/5*a = 0. Calculate a.
-1/2, 0, 1
Let w(m) = -4*m**2 + 7*m - 5. Let c = -34 - -29. Let k(y) = 5*y**2 - 8*y + 6. Let j(s) = c*k(s) - 6*w(s). Solve j(b) = 0 for b.
-2, 0
Let h(v) = -v**2 - 1. Let k(o) = 5*o**3 - 18*o**2 + 17. Let a(n) = 3*h(n) - k(n). Factor a(t).
-5*(t - 2)**2*(t + 1)
Let c be (1 - 2 - -1)/2. Let g = 97 - 92. Factor -64/7*n - 960/7*n**3 + 500/7*n**g + c - 400/7*n**4 - 64*n**2.
4*n*(n - 2)*(5*n + 2)**3/7
Let g(h) be the third derivative of -h**5/420 + 37*h**4/168 + 13*h**3/7 - h**2 - 175*h. Find j, given that g(j) = 0.
-2, 39
Suppose -8*b**3 - 12*b + 26*b**3 - 4*b + 5*b**2 - 2*b**3 - 2*b**4 - 3*b**2 = 0. Calculate b.
-1, 0, 1, 8
Let v = 3475/20778 - 2/3463. Let 0 - 2/3*d**4 - v*d**5 + 0*d + 0*d**3 + 0*d**2 = 0. What is d?
-4, 0
Let p = 325/4 - 959/12. Let n(m) be the first derivative of -p*m**3 - 1 + 6*m + m**2. Factor n(c).
-2*(c + 1)*(2*c - 3)
Suppose 0 = -q + c, -3*q - 9 + 17 = c. Factor -u - 2*u**2 - 8*u + 9*u + q.
-2*(u - 1)*(u + 1)
Let v = -49 - -52. Let k be (2/(-8))/((-21)/(-8) - v). Let k + 1/3*o**2 + o = 0. Calculate o.
-2, -1
Suppose 0 = -183*x + 187*x - k - 16, -2 = -2*x - k. Let o(l) be the first derivative of 8/3*l - 20/3*l**2 + 50/9*l**x + 8. Factor o(z).
2*(5*z - 2)**2/3
Let s = -78 - -81. Let y be (-2)/(-3)*s + (-12)/8. Factor 0*m**3 - 3/2*m**2 + 0 + y*m**4 - m.
m*(m - 2)*(m + 1)**2/2
Factor -1/6*n**2 + 0 + 3*n.
-n*(n - 18)/6
Let k(l) = -l**4 + l. Let v(c) = 2680*c**3 - 11*c**2 + c**2 + 5*c - 2675*c**3. Let p(t) = -5*k(t) + v(t). Factor p(q).
5*q**2*(q - 1)*(q + 2)
Factor -45/8 - 6*s - 3/8*s**2.
-3*(s + 1)*(s + 15)/8
Let w(n) be the third derivative of -1/21*n**3 + 0*n - 2*n**2 - 1/42*n**4 - 1/210*n**5 + 0. Factor w(q).
-2*(q + 1)**2/7
Let c = -39 + 42. Factor 7*u**2 + 6*u**2 + c*u**2 - 12*u**2 + 4*u.
4*u*(u + 1)
Factor 60*b**2 + 34*b**2 + 1428*b**3 + 4*b**4 + 2*b**2 - 1472*b**3 + 144*b.
4*b*(b - 6)**2*(b + 1)
Let u(r) be the second derivative of -1/15*r**6 + 12*r - 7/18*r**4 + 4/15*r**5 + 2/9*r**3 + 0*r**2 + 0. Factor u(p).
-2*p*(p - 1)**2*(3*p - 2)/3
Let m(r) be the first derivative of -5*r**4/4 + 107*r**3/3 - 116*r**2 + 76*r + 16. Determine u so that m(u) = 0.
2/5, 2, 19
Factor -27*a**2 - 30*a + 78*a**2 - 27*a**2 - 29*a**2 + 80.
-5*(a - 2)*(a + 8)
Let y(v) be the second derivative of -v**4/27 - 8*v**3/9 - 8*v**2 - 2*v - 7. Solve y(s) = 0.
-6
Let q(n) be the first derivative of n**6/210 - n**5/35 + 5*n**4/84 - n**3/21 + 6*n - 29. Let f(c) be the first derivative of q(c). Let f(g) = 0. What is g?
0, 1, 2
Let p(x) = x + 1. Let z(y) = y + 1. Let k(q) = -4*p(q) + 3*z(q). Let j(f) = -2*f**2 + 10*f - 4. Let r(t) = j(t) + 2*k(t). Factor r(c).
-2*(c - 3)*(c - 1)
Let -52/5*c**2 - 8/5 - 38/5*c**3 - 12/5*c**4 - 1/5*c**5 - 33/5*c = 0. Calculate c.
-8, -1
Let i(c) be the second derivative of -7*c**5/10 + 25*c**4/8 - 3*c**3 - 8*c**2 - 10*c. Let f(z) be the first derivative of i(z). Let f(d) = 0. Calculate d.
2/7, 3/2
Solve -205*c**2 - 207*c**2 - c**3 + 413*c**2 = 0.
0, 1
Let d be (-130)/(-3)*30/25. Find h such that 1 - 47*h**3 + d*h**3 - 15*h - 11 = 0.
-1, 2
Factor -53/4 - 1/4*f**2 - 27/2*f.
-(f + 1)*(f + 53)/4
Let b(x) be the second derivative of 4*x - 1/10*x**6 - 3/2*x**4 + 0 + 2*x**3 - 3/2*x**2 + 3/5*x**5. Determine a, given that b(a) = 0.
1
Let h = -23 + 24. Let a(j) = 2*j**2 - 2*j + 1. Let y be a(h). Factor y - 5 - 8*u - 3*u**2 - u**2.
-4*(u + 1)**2
Let r(i) be the second derivative of -i**4/4 - 48*i**3 - 3456*i**2 - 90*i. Factor r(p).
-3*(p + 48)**2
Let i(t) = t**2 + 30*t + 112. Let n(g) = g. Let r(u) = i(u) + 2*n(u). Factor r(h).
(h + 4)*(h + 28)
Let i(a) be the third derivative of -a**8/8400 + a**7/6300 + a**6/1800 - 7*a**4/12 + 11*a**2. Let l(h) be the second derivative of i(h). Factor l(k).
-2*k*(k - 1)*(2*k + 1)/5
Let h(l) be the first derivative of 2/45*l**3 + 0*l + 19 - 1/15*l**2. Factor h(g).
2*g*(g - 1)/15
Let x(k) = 72*k**4 + 312*k**3 + 383*k**2 + 107*k + 11. Let o(u) = -u**2 + u + 1. Let l(c) = 3*o(c) - x(c). Factor l(m).
-2*(m + 2)**2*(6*m + 1)**2
Let m(v) be the first derivative of -36*v + 31 - 12*v**2 - 4/3*v**3. Factor m(r).
-4*(r + 3)**2
Let w = -8 - -16. Let -113*g**3 + 1 + w*g + 109*g**3 - 1 + 4*g**2 = 0. What is g?
-1, 0, 2
Suppose 154 = -5*n + 3*j, 2*n + 3*j - 2*j + 66 = 0. Let d be (-6 - -2 - -1) + (-680)/n. Solve 1 - 49/4*s**5 + 17/4*s**3 + d*s**2 - 77/4*s**4 + 8*s = 0 for s.
-1, -2/7, 1
Find x, given that -970*x**2 + 1015*x**4 - 252*x**5 - 25*x**5 + 1413*x**4 - 703*x**5 + 235*x**3 - 40 - 293*x**4 - 380*x = 0.
-2/7, -1/4, 1, 2
Solve 0*z + 0 - 4/5*z**2 + 1/5*z**3 = 0 for z.
0, 4
Suppose 0 = -157*p + 73*p + 168. Let -1/5*t**3 - t + 4/5*t**p + 2/5 = 0. What is t?
1, 2
Let x be 3*(-3)/27*-15. Let u(r) = -r - 12. Let y be u(-12). Factor 0*q**3 + 2/5*q**x + y + 0*q**2 + 2/5*q**4 + 0*q.
2*q**4*(q + 1)/5
What is q in -18 - 1/2*q**2 + 10*q = 0?
2, 18
Let d(b) be the second derivative of b + 1/132*b**4 + 0*b**2 + 2 + 1/220*b**5 - 1/33*b**3. Factor d(z).
z*(z - 1)*(z + 2)/11
Let h(n) be the third derivative of 0*n + 0*n**4 + 1/336*n**8 + 0*n**5 + 0*n**3 - 1/35*n**7 + 0 + 8*n**2 + 1/24*n**6. Find q such that h(q) = 0.
0, 1, 5
Let q = -7428/7 - -27023/21. Let f = q - 225. Determine s so that -2/3*s**3 + 2/15*s**2 + f*s + 4/15 - 2/5*s**4 = 0.
-1, -2/3, 1
Let b(h) = -6*h**3 - h**2 + 4*h. Let p(v) = v**3 - v. Let q(r) = -3*b(r) - 12*p(r). Factor q(a).
3*a**2*(2*a + 1)
Let b(l) be the first derivative of -l**6/2 + 2*l**5 + 93*l**4/4 + 148*l**3/3 + 18*l**2 - 32*l - 220. Solve b(i) = 0.
-2, -1, 1/3, 8
Suppose -14/3 - 4*o + 2/3*o**2 = 0. What is o?
-1, 7
Suppose -2*b = -4*d - 16, 0 = b - 2*d + 5*d - 3. Let n(o) be the first derivative of -1/6*o**2 - 1/9*o**3 - b + 2/3*o. Find u such that n(u) = 0.
-2, 1
Let v(m) be the first derivative of 0*m + m**4 - 1 + 8/13*m**2 - 56/39*m**3 + 6/65*m**5 - 3/13*m**6. Suppose v(a) = 0. What is a?
-2, 0, 2/3, 1
Determine m, given that 3/5*m**4 + 6/5*m + 0 - 33/5*m**2 + 36/5*m**3 - 1