 + 2/7*w**5 - 2/7*w**n + g*w + 2/7*w**4 + 0 = 0. Calculate w.
-1, 0, 1
Suppose 310/9*l**2 + 56/9 - 50/9*l**3 + 272/9*l = 0. Calculate l.
-2/5, 7
Let s(b) be the second derivative of 0 + 1/6*b**4 + 1/84*b**7 + 0*b**2 - 3/40*b**5 - 1/30*b**6 + 1/3*b**3 - 33*b. Find y, given that s(y) = 0.
-1, 0, 2
Let k(o) be the third derivative of -o**8/168 + o**6/5 + o**5/15 - 9*o**4/4 - 6*o**3 + 161*o**2. Find y such that k(y) = 0.
-3, -1, 2, 3
Let h(g) be the second derivative of 2*g**7/21 - 22*g**6/5 + 392*g**5/5 - 1960*g**4/3 + 2400*g**3 - 4000*g**2 - 315*g. Factor h(x).
4*(x - 10)**3*(x - 2)*(x - 1)
Let a be -1 + (5/(-2))/((-30)/60). Let d(y) be the second derivative of y**a - 4*y**2 + 2*y**3 - 2/5*y**5 + 4*y + 0. Factor d(w).
-4*(w - 2)*(w + 1)*(2*w - 1)
Suppose 8*u + 8 = 4*u. Let m(q) = q**2 - q. Let w(c) = -6*c**2 - 3*c + 25. Let t(r) = u*w(r) - 14*m(r). Suppose t(a) = 0. Calculate a.
5
Suppose 6*x + 2*x - 42*x + 1428 = 0. Factor 12 + x*b - 3*b**2 - 21/2*b**3.
-3*(b - 2)*(b + 2)*(7*b + 2)/2
Let g(q) = 8*q**2 - 12. Let p(x) = x**3 + 8*x**2 - x - 11. Let w(n) = 3*g(n) - 4*p(n). Factor w(u).
-4*(u - 1)*(u + 1)*(u + 2)
Let s = 3042 + -3037. Find m such that 357/5*m**4 + 0 + 24/5*m + 54/5*m**3 - 132/5*m**2 + 147/5*m**s = 0.
-2, -1, 0, 2/7
Let u(a) be the second derivative of -625/21*a**4 + 200/21*a**3 - 10*a + 0 - 8/7*a**2. Determine d, given that u(d) = 0.
2/25
Let j(p) be the second derivative of -2*p**7/21 + 4*p**6/15 + 12*p**5/5 - 38*p**4/3 + 74*p**3/3 - 24*p**2 - 59*p. Factor j(h).
-4*(h - 3)*(h - 1)**3*(h + 4)
Suppose q + 39 = 39. Let x(z) be the second derivative of -1/9*z**3 - 7/36*z**4 - 3/20*z**5 - 3*z - 1/18*z**6 + q + 0*z**2 - 1/126*z**7. Factor x(m).
-m*(m + 1)**3*(m + 2)/3
Factor 829*y**2 - 252*y**2 + 13020*y - 2*y**3 + 874*y**2 - 259*y**2 + 30*y**3 + 7056.
4*(y + 21)**2*(7*y + 4)
Let r = 31494 + -31490. Factor 24*l - r*l**2 - 48 + 2/9*l**3.
2*(l - 6)**3/9
Solve 14*x**2 - 12 + 3/4*x**4 - 13*x + 41/4*x**3 = 0 for x.
-12, -2, -2/3, 1
Let u = -278 + 278. Let m(s) be the second derivative of 0*s**4 + 1/75*s**6 + 0*s**2 + 0*s**5 + 0 + u*s**3 + 8*s. Let m(f) = 0. Calculate f.
0
Determine m so that 1/2*m**2 + 0 + 21*m = 0.
-42, 0
Let p(y) be the first derivative of -y**4/20 + 37*y**3/15 - 323*y**2/10 - 361*y/5 - 7. Factor p(t).
-(t - 19)**2*(t + 1)/5
Suppose -q + 28 = q. Let v be (240/252)/(4/q). Factor -v*p**2 + 2/3*p + 0.
-2*p*(5*p - 1)/3
Let v(a) be the second derivative of -a**4/42 + 6*a**3/7 - 17*a**2/7 + 16*a. Suppose v(c) = 0. What is c?
1, 17
Let g(j) be the first derivative of -45*j**6/16 + 309*j**5/40 - 31*j**4/16 - 3*j**3/2 + j**2/2 - 58. Determine y, given that g(y) = 0.
-1/3, 0, 2/9, 2/5, 2
Let j(q) = q**2 + q. Let a(r) = -27*r**2 + 3*r**2 - 4*r - 18*r. Let z(x) = 2*a(x) + 44*j(x). Factor z(o).
-4*o**2
Suppose 0*p - 5*p + 10 = 0. Let f(m) = 2*m - 4. Let b be f(2). Let n**2 - 12 + b*n**2 - 6*n**2 + n**p + 16*n = 0. Calculate n.
1, 3
Suppose -3*z + 45 = -3*o, -3*z + z = -3*o - 40. Let r be (-2)/o + (-28)/490. Factor -8/7*g + 3/7*g**3 - 4/7 - r*g**2.
(g - 2)*(g + 1)*(3*g + 2)/7
Suppose f - 3*g + 27 = 0, 22 = 3*f - g + 87. Let u be ((-6)/f*1)/(9/21). Find m such that 0 + 2/3*m**2 + u*m**3 - 2/3*m - 2/3*m**4 = 0.
-1, 0, 1
Let b(q) = 29*q - 170. Let h be b(6). Suppose 0*a - 1/6*a**5 + 0 + 1/3*a**h - 1/6*a**3 + 0*a**2 = 0. What is a?
0, 1
Let m(v) be the second derivative of -v**5/110 - v**4/22 + 2*v**3/11 + 8*v**2/11 - 8*v. Factor m(a).
-2*(a - 2)*(a + 1)*(a + 4)/11
Determine o so that 64/3*o**2 - 4*o**4 - 164/3*o**3 + 0 + 112/3*o = 0.
-14, -2/3, 0, 1
Suppose q - 2*u + 9 = u, q = 2*u - 5. Suppose 5*o - q*o = 8. Suppose -o*x - 8*x**2 - 5*x**4 + x**5 + 4*x**4 + 3*x**4 - 3*x**3 = 0. Calculate x.
-2, -1, 0, 2
Let x(h) be the first derivative of h**4/2 - 3*h**3 + 5*h**2 - 3*h + 149. Factor x(v).
(v - 3)*(v - 1)*(2*v - 1)
Find g, given that -2/7*g**2 - 1/7*g**3 + 0 - 1/7*g = 0.
-1, 0
Suppose -269*h = -265*h - 12. Let a(y) be the first derivative of 0*y**2 - 1/3*y**h + 4*y - 7. Let a(p) = 0. What is p?
-2, 2
Let s(d) = d**2 - 2*d + 2. Let k(l) = 27*l + 6. Let x(o) = -k(o) + 3*s(o). Suppose x(z) = 0. Calculate z.
0, 11
Let m = -5806/63 + 832/9. Determine g so that 0*g + 0 + m*g**2 - 4/7*g**4 - 2/7*g**3 = 0.
-1, 0, 1/2
Let d(j) be the third derivative of j**9/540 + j**8/840 - j**7/90 - j**6/90 + 13*j**4/24 - 6*j**2. Let o(s) be the second derivative of d(s). Solve o(z) = 0.
-1, -2/7, 0, 1
Let n be 60 - 3/6*6. Let o be (n/95)/(2/10). Suppose 25*z**2 - 20*z**3 + 2*z - 4*z - o*z = 0. What is z?
0, 1/4, 1
Let o = -13 + -12. Let t = o - -51/2. Determine l, given that -4*l**5 + 6*l**4 + 0 - 15/4*l**2 + 23/4*l**3 + t*l = 0.
-1, 0, 1/4, 2
Let n(f) = -16*f**2 + 49*f - 180. Let s(m) be the first derivative of -m**3 + 5*m**2 - 36*m - 10. Let w(d) = -6*n(d) + 33*s(d). Solve w(v) = 0.
6
Let h(m) = -4*m**3 + 517*m**2 - 15872*m - 16384. Let y(c) = 12*c**3 - 1548*c**2 + 47616*c + 49152. Let g(o) = -8*h(o) - 3*y(o). Find p, given that g(p) = 0.
-1, 64
Suppose 12*i + 114 = 11*i + 116. Suppose -i*s**4 + s**2 + 2*s**3 - 5/2*s + 1/2*s**5 + 1 = 0. Calculate s.
-1, 1, 2
Let x(g) be the first derivative of -8*g - 2/3*g**3 + 7 + 4*g**2. Let x(m) = 0. What is m?
2
Let f be 56/7 + ((-1)/1 - 3). Let j(n) = -n**3 + n**2 + n + 1. Let l(u) = -5*u**4 - 59*u**3 - 131*u**2 - 121*u - 36. Let a(o) = f*j(o) - l(o). Factor a(i).
5*(i + 1)**3*(i + 8)
Let b be 150/(-45)*(-9)/6. Let u(k) be the first derivative of 1/6*k**2 - b + 0*k + 1/9*k**3 - 1/12*k**4 - 1/15*k**5. Factor u(y).
-y*(y - 1)*(y + 1)**2/3
Let k = 193 - 187. Let j(l) be the second derivative of 0 + 1/10*l**4 - 3/50*l**5 - 1/15*l**3 + 0*l**2 + 1/75*l**k - 5*l. Let j(b) = 0. Calculate b.
0, 1
Factor 0 - 13/4*l**2 - 11/4*l - 1/2*l**3.
-l*(l + 1)*(2*l + 11)/4
Factor 11645 + 92*d**2 + 84*d**2 + 16138 + 3*d**3 + 13*d**2 + 3969*d.
3*(d + 21)**3
Let s(p) be the third derivative of -p**7/21 + 11*p**6/30 - 14*p**5/15 + 2*p**4/3 - 14*p**2 + 6. Factor s(l).
-2*l*(l - 2)**2*(5*l - 2)
Find h, given that 28*h**3 - 61*h - 51*h**2 - 60 - 37 - 4*h**4 + 129*h + 73 - 17*h**2 = 0.
1, 2, 3
Let p(m) be the third derivative of 0*m**4 + 19*m**2 - 1/105*m**7 + 0 + 1/120*m**5 - 1/480*m**6 + 0*m + 0*m**3 - 5/1344*m**8. Factor p(a).
-a**2*(a + 1)**2*(5*a - 2)/4
Factor 3*x**3 + 225*x**2 + 303*x**2 - 627*x**2 - 102*x.
3*x*(x - 34)*(x + 1)
Let o = 13957/5 + -2791. Let g be -1 + 1 - (-4)/5. Let 2/5 + o*v**2 - g*v = 0. What is v?
1
Let u(t) = t**5 + 2*t**3 + t - 1. Let m(x) = x**4 + 5*x**3 + 2*x - 2. Let g(d) = -m(d) + 2*u(d). Let g(n) = 0. Calculate n.
-1/2, 0, 1
Let w(x) be the second derivative of x**5/40 - 5*x**4/8 - x**3/12 + 15*x**2/4 + x - 25. Let w(h) = 0. Calculate h.
-1, 1, 15
Let q(z) be the second derivative of -5*z**8/448 + z**7/210 + z**6/120 - 15*z**2/2 - 40*z. Let c(r) be the first derivative of q(r). Factor c(a).
-a**3*(3*a - 2)*(5*a + 2)/4
Let a = -70 - -72. Suppose -2*c + 10 = 3*u, 6*c - a*c - 16 = -4*u. Suppose -8/5*t**4 - 2/5*t - 2/5*t**5 + 0 - 12/5*t**3 - 8/5*t**c = 0. Calculate t.
-1, 0
Let l be (-264)/(-16) - (-2)/4. Suppose -4*w = 3*f - l, 8 = -w + 3*f + 1. Solve 36*u**2 - 6 - 36*u**w + 21*u**2 - 15*u = 0.
-2/7, 1
Let k(y) = 5*y**2 + 65*y + 60. Let p(s) = 30*s**2 + 390*s + 360. Let v(a) = -35*k(a) + 6*p(a). Solve v(q) = 0.
-12, -1
Let a(b) be the third derivative of -b**10/37800 + b**9/7560 - b**8/5040 + b**5/30 + b**2. Let z(s) be the third derivative of a(s). Factor z(g).
-4*g**2*(g - 1)**2
Let g(f) be the second derivative of -f**7/98 + f**6/5 - 177*f**5/140 + 29*f**4/14 + 30*f**3/7 - 108*f**2/7 + 14*f + 3. Let g(j) = 0. What is j?
-1, 1, 2, 6
Let w = 63 - 57. Find r such that -w*r - 3*r**3 - 3*r**2 + 16*r - 4*r = 0.
-2, 0, 1
Let d(b) = b**2 - 75*b + 334. Let r be d(71). What is x in -r - 10*x - 1/2*x**2 = 0?
-10
Let h = 449 + -448. Let w(k) be the first derivative of 0*k**2 - 2/33*k**3 + 0*k + h. Suppose w(y) = 0. Calculate y.
0
Let j be (-6 + 354/182)*(-4)/6. Let s = 20/7 - j. Determine a so that -2/13 - 4/13*a - s*a**2 = 0.
-1
Let h(q) be the third derivative of -q**7/1680 - q**6/144 - 4*q**3/3 + 15*q**2. Let t(i) be the first derivative of h(i). Find c such that t(c) = 0.
-5, 0
Let t(f) be the first derivative of -f**3/6 + 3*f**2/4 + 9*f - 249. Find n such that t(n) = 0.
-3, 6
Let j(k) be the third derivative of -k**7/15 - 