ve of 3/14*w**7 - 2/3*w**4 + w**6 - 7/6*w**3 + 11/10*w**5 + w**2 + 0 - 6*w. Find f, given that b(f) = 0.
-2, -1, 1/3
Factor 41*g**2 + 3*g**3 - 107*g**2 + 51*g**2 + 24*g - 12.
3*(g - 2)**2*(g - 1)
Let g(l) be the first derivative of 49*l**4 + 1148*l**3 + 960*l**2 + 272*l - 434. Factor g(a).
4*(a + 17)*(7*a + 2)**2
Factor 0*z**5 - 206*z**3 + 0*z**5 + z**5 + 205*z**3.
z**3*(z - 1)*(z + 1)
Let k(l) be the second derivative of 1/3*l**2 + 0 - 1/9*l**4 + 0*l**5 + 1/45*l**6 + 4*l + 0*l**3. Factor k(g).
2*(g - 1)**2*(g + 1)**2/3
Let l be (-4)/26 + (-369)/(-117). Let y(t) = 2*t - 4. Let q be y(l). Suppose -128 + 41*z - 24*z**q + 22*z + 2*z**3 - z + 34*z = 0. What is z?
4
Let z = -151679/160 + 948. Let b(m) be the second derivative of z*m**5 + 0 - 1/8*m**2 + 7*m - 1/16*m**3 + 0*m**4. Find l such that b(l) = 0.
-1, 2
Suppose -5*i + 3*v + 8 = -4*i, -2*i + 6 = -v. Let z(h) be the second derivative of -1/90*h**4 + 2/15*h**3 - 2*h - 3/5*h**i + 0. Let z(y) = 0. What is y?
3
Let q(a) be the second derivative of a**5/70 + 2*a**4/21 + a**3/7 - 449*a. Factor q(h).
2*h*(h + 1)*(h + 3)/7
Let z(j) be the first derivative of j**3/30 - 2*j**2 + 40*j - 21. Factor z(p).
(p - 20)**2/10
Let b(h) = -7*h**5 + 16*h**4 - 8*h**2 - 5*h + 5. Let g(t) = -11*t**5 + 25*t**4 - 12*t**2 - 8*t + 8. Let o(c) = 8*b(c) - 5*g(c). What is j in o(j) = 0?
-1, 0, 2
Factor 0*o**2 - 1/3*o**5 + 0*o - 2/3*o**4 + 0 + o**3.
-o**3*(o - 1)*(o + 3)/3
Let n(a) be the first derivative of -3*a**5/20 + 3*a**4/4 + 3*a**3/2 - 3*a**2/2 - 15*a/4 + 255. Let n(c) = 0. Calculate c.
-1, 1, 5
Let i be (0/(-3) - -11) + -5 - 4. Let v = 3 - 1. Factor -i*y - y**2 + v + 10*y - 7*y.
-(y - 2)*(y + 1)
Let v(k) be the first derivative of -4*k**2 + 4/5*k**5 + 0*k - 15 + 0*k**4 - 4*k**3. Factor v(f).
4*f*(f - 2)*(f + 1)**2
Suppose 8*d = 4*d + 24. Let s(n) be the first derivative of -5 + d*n**3 + 6*n**2 + 3/5*n**5 + 3*n + 3*n**4. Find i such that s(i) = 0.
-1
Let u be (894/(-18))/(-2 - 24/(-9)). Let j = -74 - u. Find o, given that j*o - 1/2*o**2 + 1 = 0.
-1, 2
Let p = 49 + -45. Suppose -5*q + p*q = -5*h - 15, q = 3*h + 9. Factor 2/3*i**5 - 2/3*i**2 - 2/3*i**3 + 2/3*i**4 + q + 0*i.
2*i**2*(i - 1)*(i + 1)**2/3
Suppose -3*c + 16 = c. Factor -1 - c*v - 4*v**2 - 2*v + 2*v + 0*v**2.
-(2*v + 1)**2
Let f(p) = -1. Let y(u) = -u**2 - 20*u - 23. Let r(v) = 4*f(v) - y(v). Suppose r(a) = 0. What is a?
-19, -1
Suppose -5*x + 5*b = 95, 0 = 2*x - b - 14 + 47. Let m be x/(-63) + (-680)/(-18). Determine o so that 48*o**2 + 1 - 7 - 9*o - 4*o**4 - m*o**4 + 9*o**3 = 0.
-1, -2/7, 1/2, 1
Let q = 37 - 35. Factor -17*h + 10 - 98*h - 46*h**2 - 79*h**q.
-5*(h + 1)*(25*h - 2)
Let z be (-6)/21 + (-23)/(-7). Find m, given that -36*m**5 + 20*m**2 + 28*m**5 + 5*m**z + 3*m - 2 - 18*m**4 + 0 = 0.
-2, -1, -1/2, 1/4, 1
Let d(r) be the second derivative of r**6/72 + r**3/2 - 7*r. Let x(w) be the second derivative of d(w). Solve x(s) = 0 for s.
0
Factor 4*w**5 - 40*w**3 - 69*w**3 - 28*w**2 - 10*w**4 - 10*w**4 + 57*w**3 + 0*w**4.
4*w**2*(w - 7)*(w + 1)**2
Let n(k) be the first derivative of 0*k**4 + 1/2520*k**6 + 1/840*k**5 + 1/3*k**3 + 0*k**2 + 0*k - 6. Let w(f) be the third derivative of n(f). Factor w(s).
s*(s + 1)/7
Suppose 5*r - 9*r**4 - 11*r**2 - r**4 + 21*r**2 - 5*r**5 = 0. What is r?
-1, 0, 1
Suppose -2/9*v**2 + 8/9 - 2/3*v = 0. What is v?
-4, 1
Let d(i) be the first derivative of -1/10*i**4 + 0*i + 2/5*i**3 + 0*i**2 + 33. Let d(y) = 0. Calculate y.
0, 3
Let r(g) be the third derivative of -g**7/1050 + g**6/200 + 3*g**5/100 - 9*g**4/40 + 4*g**2 - 1. Suppose r(h) = 0. Calculate h.
-3, 0, 3
Let n = -1435 - -1440. Let v(f) be the second derivative of -1/6*f**3 - 4/27*f**4 - 1/45*f**6 + 4*f - 1/9*f**2 - 1/378*f**7 + 0 - 7/90*f**n. Factor v(k).
-(k + 1)**4*(k + 2)/9
Let o(l) be the first derivative of -l**5/16 + 55*l**4/48 - 20*l**3/3 + 35*l**2/2 - 34*l - 32. Let d(c) be the first derivative of o(c). Solve d(m) = 0 for m.
2, 7
Let k = 16 - -8. Factor -k*m - m - 20 - 3*m - 4*m**2 + 4*m.
-4*(m + 1)*(m + 5)
Let q(r) be the second derivative of r**8/84 - 6*r**7/245 + r**6/105 - 3*r**2 + r. Let d(z) be the first derivative of q(z). Factor d(o).
4*o**3*(o - 1)*(7*o - 2)/7
Let o(z) be the second derivative of -20/3*z**4 + 0*z**2 - 11*z + 9/5*z**5 + 0 + 8/3*z**3. Let o(f) = 0. Calculate f.
0, 2/9, 2
Let p = 6/475 - -3414/475. Factor 12/5*q + 0 - 21/5*q**3 + p*q**2.
-3*q*(q - 2)*(7*q + 2)/5
Let q(w) = -w**3 + 15*w**2 - 24*w - 23. Let n be q(13). Let i(f) be the second derivative of 1/18*f**n + 0*f**2 + f + 0 - 1/36*f**4. Factor i(b).
-b*(b - 1)/3
Suppose 108 - 213*c**2 - 15*c**4 - 111*c**3 - 6*c - 7*c - c + 5*c = 0. Calculate c.
-4, -3, -1, 3/5
Suppose -68 = -4*t - 4*d, -t - t = 3*d - 39. Factor -16*b + 9*b**3 - 7*b**3 + 7*b**2 - b**4 + t - 4*b.
-(b - 2)**2*(b - 1)*(b + 3)
Suppose 2*o + 5*n + 80 - 89 = 0, -4 = -o - 2*n. Factor -v + 1/2*v**o + 1/2*v**3 + 0.
v*(v - 1)*(v + 2)/2
Let h(x) be the third derivative of -x**8/560 + 4*x**7/175 + 3*x**6/50 - 11*x**5/50 - 43*x**4/40 - 9*x**3/5 - x**2 - 71*x. Find q such that h(q) = 0.
-1, 2, 9
Let r(k) = k**3 - 68*k**2 + 142*k - 17. Let m be r(2). Factor -1/2*j**2 + 0 - 3/2*j**4 + 1/2*j**5 + 0*j + 3/2*j**m.
j**2*(j - 1)**3/2
Suppose -2*g + 48 = -2. Let c be (10/25)/(8/g). Solve -c*l + 1/2 - 1/4*l**3 + l**2 = 0 for l.
1, 2
What is c in 8/9*c + 10/9 - 2/9*c**2 = 0?
-1, 5
Determine f, given that 0 + 5*f**2 + 9/2*f + 1/2*f**3 = 0.
-9, -1, 0
Let d(q) be the first derivative of 4/3*q**3 + 4*q**2 + 9 + 0*q. Solve d(s) = 0 for s.
-2, 0
Let d(o) be the second derivative of -o**6/6 + 2*o**5 - 55*o**4/12 - 20*o**3/3 + 30*o**2 - 25*o - 1. Suppose d(y) = 0. What is y?
-1, 1, 2, 6
Factor 64 + 33 - 27 + 74*l - 27 + 97 + 2*l**2.
2*(l + 2)*(l + 35)
Let x(h) be the first derivative of -11 + 64*h**2 + 20*h**4 - 320/3*h**3 - 14/3*h**6 + 64*h + 76/5*h**5. Find m, given that x(m) = 0.
-2, -2/7, 1, 2
Determine g, given that -459*g - 196*g - 101*g - 654*g + 1082*g**2 - 126*g**3 + 4*g**4 + 450 = 0.
1/2, 1, 15
Let z(f) = f**3 + 2*f**2 + f + 2. Suppose 4*c + 10 = 3*x, 5*x - 2*c + c = -6. Let i be z(x). What is d in -d**2 + 0*d + 1/2*d**3 + i = 0?
0, 2
Find p such that -74/15*p + 34/15*p**2 + 2/15*p**3 + 38/15 = 0.
-19, 1
Suppose 10 = 5*z + s, -s - 4*s = 25. Suppose 0*l + z*l - 9 = 0. Factor -3 - 2*g + 3 + g**2 - 2*g**3 + 3*g**l.
g*(g - 1)*(g + 2)
Let o(a) be the first derivative of -2*a**5/45 - 161*a**4/9 - 51842*a**3/27 + 486. Factor o(c).
-2*c**2*(c + 161)**2/9
Suppose -18*l = -15*l - 9. Suppose 0 = 4*v + 6*s - 5*s + 1, s = l*v - 8. Factor -v - 9/2*t**2 + 11/2*t.
-(t - 1)*(9*t - 2)/2
Let o(g) be the first derivative of -g**7/1260 - g**6/120 - g**5/30 - g**4/18 - 35*g**2/2 + 15. Let y(u) be the second derivative of o(u). Factor y(j).
-j*(j + 2)**3/6
Factor 0 + 3/2*g**2 + 42*g.
3*g*(g + 28)/2
Let m = 66 - 82. Let x(s) = -6*s**2 - 10*s. Let o(n) = -2*n**2 - 3*n. Let k(u) = m*o(u) + 5*x(u). Factor k(f).
2*f*(f - 1)
Let i(k) = -4*k**3 + 2*k**2 + 16*k - 2. Let c(a) = 2*a**2 + 0 - a**2 - 1. Let b(p) = 2*c(p) - i(p). Factor b(l).
4*l*(l - 2)*(l + 2)
Suppose -84 = -10*u + 26. Solve -20*p**2 + 2*p**4 + 10 + u*p**4 - 5*p**5 - 5*p + 10*p**3 - 3*p**4 = 0.
-1, 1, 2
Let g(b) = -50*b - 5. Let o be g(-1). Let r = o - 45. Determine f so that r*f**2 + 8/3*f**4 - 2*f**3 + 0 - f**5 + 1/3*f = 0.
-1/3, 0, 1
Let a(o) = -o**3 + 5*o**2 - 4*o + 4. Let z be a(4). Let d be (-1)/(z + -6) - 1*-1. Factor 0*y + d*y**5 - 3/2*y**2 + 0 - 3/2*y**3 + 3/2*y**4.
3*y**2*(y - 1)*(y + 1)**2/2
Let 0 + 7/3*u**3 - 1/3*u**4 + 13/3*u**2 + 2*u - 1/3*u**5 = 0. Calculate u.
-2, -1, 0, 3
Let d(a) be the first derivative of a**7/3360 - a**6/480 + a**4/24 - 14*a**3/3 - 46. Let s(b) be the third derivative of d(b). Factor s(n).
(n - 2)**2*(n + 1)/4
Let j(w) be the first derivative of 45/16*w**2 + 4 + 3/4*w + 7/16*w**6 + 75/16*w**4 + 5*w**3 + 9/4*w**5. Suppose j(a) = 0. Calculate a.
-1, -2/7
Let n = 34 + -26. Let l = -15/2 + n. Factor 0*s**3 + 0 - 1/4*s**5 - l*s**2 + 1/4*s + 1/2*s**4.
-s*(s - 1)**3*(s + 1)/4
Suppose -k + 10 + 1 = 0. Let -k*j**2 - 2*j - j + 10*j**2 = 0. Calculate j.
-3, 0
Let y(k) be the third derivative of -k**8/504 + 2*k**7/315 - k**5/45 + k**4/36 + 202*k**2. Suppose y(d) = 0. What is d?
-1, 0, 1
Factor -15*f**4 - 79*f**2 + 7*f**4 + 42*f**2 + 57*f**2 + 4*f**3 + 8*f.
-4*f*(f - 2)*(f + 1)*(2*