t c(b) be the second derivative of 0*b**3 + 0*b**2 + 0*b**4 + 1/40*b**j + 2*b + 0 - 1/60*b**6. Find u such that c(u) = 0.
0, 1
Let w(p) = p**4 + p**3 + 1. Let x(y) = -10*y**4 + 82*y**3 - 78*y**2 + 34*y + 8. Let s(h) = -12*w(h) + x(h). Let s(j) = 0. Calculate j.
2/11, 1
Let d(j) be the second derivative of j**4/4 - 293*j**3 + 257547*j**2/2 - 161*j. Determine z so that d(z) = 0.
293
Let g be (-36)/48 + (-15)/(-4). Determine c so that 0 + 3/2*c**4 - 15/2*c**g - 6*c + 12*c**2 = 0.
0, 1, 2
Suppose 0 = j - 1 - 1. Let g be 2/(-7)*1 + 90/21. Find a such that -j*a**2 - 83*a + 91*a - 4*a**2 - g + 2*a**2 = 0.
1
Let b be (-4 + 1)/(9/(-9)). Factor -3/4*v**4 + 3/2*v + 0 - 15/4*v**2 + b*v**3.
-3*v*(v - 2)*(v - 1)**2/4
Factor 0 - 2/5*w**2 + 34/5*w.
-2*w*(w - 17)/5
Suppose 864 + 8/3*c**3 + 3504*c + 578/3*c**2 = 0. Calculate c.
-36, -1/4
Let l(b) be the second derivative of -b**5/300 + b**4/60 - 5*b**2 - 9*b. Let c(d) be the first derivative of l(d). Determine x so that c(x) = 0.
0, 2
Determine f, given that -2*f - 3*f + 4*f**3 - 31*f + 240*f**2 - 208*f = 0.
-61, 0, 1
Let i(y) = y**4 - y**3 - y**2 + y + 1. Let s(q) = -16*q**4 - 12*q**3 + 16*q**2 + 12*q + 16. Let a(h) = -16*i(h) + s(h). Factor a(n).
-4*n*(n - 1)*(n + 1)*(8*n - 1)
Let n(w) = w**5 + w**4 - w**2 + w. Suppose -3*t = -f - 11, -4*t = 4*f - 5 - 15. Let p(l) = 20*l**4 - 24*l**3 + 12*l**2. Let h(m) = t*n(m) - p(m). Factor h(c).
4*c*(c - 1)**4
Factor -918*b + 8*b**2 + 11 + 232 - 12*b**3 - 221*b**2.
-3*(b + 9)**2*(4*b - 1)
Let p be ((-12)/(-14) - 1) + (-628)/14. Let f be 4 + p/10 + 2. Let 3 - 3/2*u**3 - f*u**4 + 15/2*u + 9/2*u**2 = 0. What is u?
-1, 2
Let h(q) be the first derivative of 3*q**5/5 - 45*q**4/4 + 48*q**3 + 96*q**2 - 39. Let h(y) = 0. What is y?
-1, 0, 8
Let f(q) = q**3 + q**2 + q. Let j(h) = -3*h**4 + 2*h**3 + 8*h**2 + 8*h. Let i be (-5)/10 + (-6)/(-4). Let y(z) = i*j(z) - 5*f(z). Factor y(o).
-3*o*(o - 1)*(o + 1)**2
Let j(p) be the third derivative of -p**7/21 + p**6/24 + 13*p**5/12 + 5*p**4/4 - 58*p**2. Find l such that j(l) = 0.
-2, -1/2, 0, 3
Let h = -14265 + 14265. Solve 1/2*j**2 + 7/2*j + h = 0 for j.
-7, 0
Let t(w) = -3*w + 59. Let g be t(19). Suppose -g*x - 3*v - 12 = -5*x, -3*v - 12 = x. Solve 8/7*n**3 + x - 2/7*n - 6/7*n**2 = 0.
-1/4, 0, 1
Let r(w) = w**2 - w - 1. Let h(j) = -8*j**2 + 19*j + 20. Let n(u) = -3*h(u) - 21*r(u). Factor n(m).
3*(m - 13)*(m + 1)
Let x = -177/35 - -26/5. Let f(s) be the first derivative of -3 + 8/35*s**5 - 3/14*s**4 - 4/21*s**3 + 4/21*s**6 + x*s**2 + 0*s. Factor f(g).
2*g*(g + 1)**2*(2*g - 1)**2/7
Solve 15 + 9*m - 27/5*m**2 + 3/5*m**3 = 0 for m.
-1, 5
Determine y so that 3 - 1/2*y**2 - 1/2*y = 0.
-3, 2
Suppose -7212 = -10*o - 7032. Suppose -o*l - 18 - 2/3*l**3 - 6*l**2 = 0. What is l?
-3
Suppose 531 = -4*g + 543. Let x(c) be the first derivative of -3*c**g - 4 - 3/4*c**4 - 3*c - 9/2*c**2. Find o such that x(o) = 0.
-1
Let d be -1 + (-1 - -1) + 3. Suppose d*u = 4*u. Determine t so that u + 16*t**2 - 30*t - 3*t**3 + 10*t + 8 - t**3 = 0.
1, 2
Let -13831*y - 6400 - 12801*y**2 - 3535*y**2 - 1488*y**3 + 4245*y - 11627*y - 36*y**4 + 1373*y = 0. What is y?
-20, -2/3
Let j = -436/9 + 4361/90. Let c(r) be the second derivative of 1/54*r**4 - 4*r - j*r**5 + 0*r**2 + 0 - 1/135*r**6 + 1/27*r**3. Suppose c(k) = 0. What is k?
-1, 0, 1
Let x(i) = 25*i**3 - 66*i**2 + 45*i - 4. Let k = 6 + -19. Let w(q) = 50*q**3 - 133*q**2 + 90*q - 7. Let s(t) = k*x(t) + 6*w(t). Find h, given that s(h) = 0.
2/5, 1
Let w(l) be the third derivative of l**7/490 + l**6/280 - 3*l**5/14 - 4*l**4/7 + 80*l**3/7 + 221*l**2. Factor w(y).
3*(y - 5)*(y - 2)*(y + 4)**2/7
Let d(z) be the third derivative of -z**7/42 - z**6/3 - z**5/2 + 5*z**4/3 + 35*z**3/6 - 20*z**2 + 2*z. Find c such that d(c) = 0.
-7, -1, 1
What is k in 2/3 + 2*k**2 + 8/3*k = 0?
-1, -1/3
Let t(o) = -13*o**2 - 15*o - 1. Let y(a) = a**3 - a**2 + 1. Let z(j) = 2*t(j) + 2*y(j). Factor z(w).
2*w*(w - 15)*(w + 1)
Let s(h) be the second derivative of -h**6/450 - h**5/25 - 4*h**4/15 - 5*h**3/6 + 3*h. Let v(x) be the second derivative of s(x). Suppose v(j) = 0. What is j?
-4, -2
Let v(m) = -163*m + 819. Let r be v(5). Factor 2/3*y**5 - 8/3*y**r + 8/3*y**3 + 0*y + 0*y**2 + 0.
2*y**3*(y - 2)**2/3
Let n(w) be the second derivative of 7*w**6/30 + 4*w**5/5 + w**4/6 - 8*w**3/3 - 9*w**2/2 + 51*w. Factor n(z).
(z - 1)*(z + 1)**2*(7*z + 9)
Find n, given that -68/9*n + 56/3*n**2 - 12*n**3 + 8/9 = 0.
2/9, 1/3, 1
Find r such that 5/2*r + 1/6*r**5 + 3 + 2/3*r**4 - 8/3*r**3 - 11/3*r**2 = 0.
-6, -1, 1, 3
Let 140/9*b**3 - 100/9 + 290/9*b - 304/9*b**2 - 28/9*b**4 + 2/9*b**5 = 0. What is b?
1, 2, 5
Let u(a) be the second derivative of -a**5/20 + 5*a**4/6 - 8*a**3/3 + 44*a. Suppose u(g) = 0. What is g?
0, 2, 8
Let k = 25471/9 + -2830. Factor k*l**2 - 4/9 + 0*l.
(l - 2)*(l + 2)/9
Let d(u) be the first derivative of -4*u**3/3 + 4*u**2 + 32*u - 45. Solve d(s) = 0 for s.
-2, 4
Let 2/5*x**4 + 0 - 2/5*x**2 - 12/5*x**3 + 12/5*x = 0. Calculate x.
-1, 0, 1, 6
Suppose 8*j - 12 = 5*j. What is d in -3*d + 8*d**4 - 5*d**j - 11*d**3 + 9*d**2 + 2*d**3 = 0?
0, 1
Let u be (28/(-63))/(-2) + (-6)/27. Let r(z) be the second derivative of 0 - 1/12*z**4 + 1/6*z**3 + u*z**2 - 2*z. Find o such that r(o) = 0.
0, 1
Factor 33/5*r**3 + 0*r - 3/5*r**4 + 0 - 84/5*r**2.
-3*r**2*(r - 7)*(r - 4)/5
Let k(y) be the third derivative of 0 + 1/270*y**6 + 1/945*y**7 + 0*y + 0*y**3 - 1/270*y**5 - 5*y**2 - 1/54*y**4. Factor k(f).
2*f*(f - 1)*(f + 1)*(f + 2)/9
Let a(h) be the second derivative of h**3 + 1/4*h**5 - 2*h**2 - 7/8*h**4 + 0 + h. Let w(o) be the first derivative of a(o). Factor w(l).
3*(l - 1)*(5*l - 2)
Let v(b) be the first derivative of 2/5*b - 1/5*b**2 + 17 + 1/10*b**4 - 2/15*b**3. Determine y, given that v(y) = 0.
-1, 1
Find i, given that -3/4*i**3 - 9/2 + 7/4*i**2 + 15/4*i - 1/4*i**4 = 0.
-3, 1, 2
Let b(a) be the second derivative of -3*a**6/2 + 7*a**5/4 + 55*a**4/12 - 35*a**3/6 - 5*a**2 - 88*a. Let b(u) = 0. What is u?
-1, -2/9, 1
Let n(b) = -8*b**2 - 62*b - 54. Let a(f) = f**2 - 1. Let m(z) = 20*a(z) + 2*n(z). Factor m(j).
4*(j - 32)*(j + 1)
Let z = -16 + 18. Let u be (z/66)/((-7)/252*-6). Suppose -u*t**3 + 0 + 0*t**2 + 0*t - 2/11*t**4 = 0. Calculate t.
-1, 0
Suppose -6 + 0*m**3 + 9*m + 2378*m**2 - 2378*m**2 - 3*m**3 = 0. What is m?
-2, 1
Let n(u) be the first derivative of -u**5/5 - u**4/2 + 51. Factor n(h).
-h**3*(h + 2)
Let s(n) = -110*n**2 - 5075*n + 211680. Let a(x) = 19*x**2 + 846*x - 35280. Let g(j) = -35*a(j) - 6*s(j). Factor g(m).
-5*(m - 84)**2
Let t(v) = v**2 - 11*v + 8. Let b be t(7). Let g = b - -24. Factor 45*m**2 - 1 - 23*m**2 - 20*m**2 - m**g.
-(m - 1)**2*(m + 1)**2
Suppose -49*f - 31 = -178. Let v(a) be the first derivative of -2/3*a**6 - 3 + 8*a**2 - 3*a**4 + 16/3*a**f + 0*a - 16/5*a**5. Find g such that v(g) = 0.
-2, -1, 0, 1
Let g = -20 + -10. Let s be (2/g)/(4/(-24)). Factor 0 - 2/5*r - 6/5*r**3 - s*r**4 - 6/5*r**2.
-2*r*(r + 1)**3/5
Let k(f) = -f**3 - f**2 - f - 1. Let u(j) = -4*j**3 - 12*j**2 + 10*j - 14. Let y(r) = -15*k(r) + 3*u(r). Factor y(x).
3*(x - 3)**2*(x - 1)
Suppose -2*i = -3*g + 4 + 21, 4*i - 4 = 0. Factor -30*o + 4*o**2 - g*o**2 - 4*o**2 - 45 + 4*o**2.
-5*(o + 3)**2
Let v be ((-2)/(-3))/(8 + -11 + (-114)/(-36)). Find q, given that 0*q - 8/9*q**2 + 0 + 2/9*q**v + 2/3*q**3 = 0.
-4, 0, 1
Factor -4/9*t + 2/9*t**2 - 16/9.
2*(t - 4)*(t + 2)/9
Let t(v) be the second derivative of v**5/15 - 53*v**4/9 + 1550*v**3/9 - 1250*v**2 - 287*v. What is x in t(x) = 0?
3, 25
Let c = -21398/3 + 7133. Factor 1/3*z**3 + c - 1/3*z - 1/3*z**2.
(z - 1)**2*(z + 1)/3
Let u(l) be the third derivative of 0*l + 0*l**4 - 1/630*l**7 + 1/360*l**6 + 0*l**3 + 0 - 21*l**2 + 0*l**5. Find a such that u(a) = 0.
0, 1
Let i(t) = t**3 - 11*t**2 + 11*t - 11. Let o be i(10). Let a be (3 + o)/((-21)/(-7)). What is b in -3*b**2 + a - 7/3*b = 0?
-1, 2/9
Let d(b) be the second derivative of -b**6/120 + 21*b**5/80 - 23*b**4/8 + 28*b**3/3 + 48*b**2 + 747*b. Solve d(r) = 0 for r.
-1, 6, 8
Let i(l) be the second derivative of l**5/4 - 35*l**4/2 - 150*l**3 - 460*l**2 + 302*l. Suppose i(k) = 0. What is k?
-2, 46
What is z in -35*z**2 - 4*z**2 - 6*z**2 + 11*z + 47*z**2 + 9 = 0?
-9/2, -1
Let j(p) = -3*p**2. Let t(v) = -v**2. Suppose -5*g + 24 = -4*a, -4*a - g = -0*g + 24. Let b(r) = a*j(r) + 14*t(r). Fa