ive of -y**4/32 + y**3/4 - 18*y. Factor g(a).
-3*a*(a - 4)/8
Let o be 0 - (-1 + 3) - -6. Let q = o + -1. What is x in -2/9*x**2 + 0*x**q + 0 + 2/9*x**4 + 0*x = 0?
-1, 0, 1
Let u(q) be the first derivative of 3 - 4/15*q**3 + 1/20*q**4 - 2/5*q + 1/2*q**2. Factor u(g).
(g - 2)*(g - 1)**2/5
Suppose -12*n - 477*n**2 - 5 + 473*n**2 - 3 = 0. Calculate n.
-2, -1
Let t(w) be the first derivative of 4*w**5/45 - w**4/9 - 8*w**3/27 - 59. Factor t(u).
4*u**2*(u - 2)*(u + 1)/9
Let f(k) = -4*k**3 - 6*k**2 - 30*k. Let z(w) = 5*w**3 + 5*w**2 + 31*w + 1. Let x(n) = -4*f(n) - 3*z(n). Let d(u) be the first derivative of x(u). Factor d(m).
3*(m + 3)**2
Let o(m) be the second derivative of -m**8/5880 - m**7/2940 + m**3/3 + 2*m. Let l(t) be the second derivative of o(t). Factor l(g).
-2*g**3*(g + 1)/7
Let a be ((-8)/(-30))/(4/10). Let z(n) = 2*n**2 - 23*n + 47. Let r be z(9). Suppose a*q**r - 4/3 - 2/3*q = 0. Calculate q.
-1, 2
Suppose 3*g - 5*w - 20 = g, -3*w = -5*g + 31. Let d(z) be the second derivative of 0*z**4 - 3/80*z**g + 0 + 2*z + 0*z**2 + 1/8*z**3. Factor d(s).
-3*s*(s - 1)*(s + 1)/4
Let z = 37/28 - 4/7. Let s(m) be the second derivative of 0 + 2*m + 2/15*m**6 + z*m**4 + 1/6*m**3 - 1/2*m**2 + 11/20*m**5. Find g, given that s(g) = 0.
-1, 1/4
Let c(z) be the first derivative of 3*z**5/20 + 11*z**4/24 + z**3/3 - z**2 + 9. Let i(n) be the second derivative of c(n). Factor i(k).
(k + 1)*(9*k + 2)
Suppose 8 = -v + 5*v. Factor -2*b**2 - 3*b**3 - 3*b**2 - 3*b + 0*b**2 - b**v.
-3*b*(b + 1)**2
Let a(i) be the first derivative of 1 + 17/20*i**4 - 4/5*i + 16/5*i**2 - 49/30*i**6 + 77/25*i**5 - 73/15*i**3. Let a(n) = 0. What is n?
-1, 2/7, 1
What is a in -1/7*a**3 - 4/7*a + 0 + 4/7*a**2 = 0?
0, 2
Let k = -46 + 50. Let c(q) be the second derivative of 1/15*q**5 + 0*q**2 + 0 + 0*q**3 + 1/45*q**6 + 4*q + 1/18*q**k. Factor c(h).
2*h**2*(h + 1)**2/3
Let p(i) be the second derivative of i**4/15 + 2*i**3/15 - 29*i. Determine f so that p(f) = 0.
-1, 0
Let t(i) be the third derivative of -i**6/15 + i**5/10 + i**4/12 - 25*i**2. Suppose t(z) = 0. Calculate z.
-1/4, 0, 1
Let d(g) be the third derivative of g**9/7560 - g**8/1120 + g**7/630 - g**4/12 + 2*g**2. Let r(a) be the second derivative of d(a). Solve r(y) = 0.
0, 1, 2
Let c = 8815/4 - 2177. Let b = 27 - c. Factor 1/2*l**4 - 1/4*l**5 + 0*l + 0*l**2 + 0 - b*l**3.
-l**3*(l - 1)**2/4
Let j(s) be the third derivative of 3*s**2 + 3/40*s**6 + 1/336*s**8 + 1/42*s**7 + 1/12*s**4 + 0 + 0*s + 0*s**3 + 7/60*s**5. Factor j(c).
c*(c + 1)**3*(c + 2)
Let b(i) be the first derivative of 4*i**5/5 - 2*i**4 + 4*i**2 - 4*i - 10. Determine m so that b(m) = 0.
-1, 1
Suppose -3*w = 2*w. Let n(m) be the first derivative of 0*m**2 + 1 + 1/2*m**4 + 2/3*m**3 + w*m. Let n(r) = 0. Calculate r.
-1, 0
Let n(y) = -4*y**2 - 41*y + 185. Let x(g) = -g**2 - 14*g + 62. Let t(a) = 6*n(a) - 21*x(a). Factor t(u).
-3*(u - 8)**2
Determine c, given that -13*c**3 + 23*c**3 + c**4 + c**4 - 12*c**3 = 0.
0, 1
Let k be (-6)/(-28) - (4 - (-120)/(-28)). Factor -1/2 - k*t**2 - t.
-(t + 1)**2/2
Let p(z) be the second derivative of -1/60*z**6 + 0*z**3 + 0*z**2 - 1/20*z**5 + 0 - 2*z - 1/24*z**4. Factor p(w).
-w**2*(w + 1)**2/2
Let r(j) = -2*j**4 - 5*j**3 - 10*j**2 - 7*j + 3. Let y(b) = 18*b**4 + 46*b**3 + 90*b**2 + 62*b - 26. Let z(h) = -52*r(h) - 6*y(h). Factor z(a).
-4*a*(a + 1)**2*(a + 2)
Let r = 1227/2135 - 1/305. Factor -12/7*x**4 + 0 + 0*x + r*x**2 - 8/7*x**3.
-4*x**2*(x + 1)*(3*x - 1)/7
Let w(u) be the third derivative of u**8/1344 - 3*u**7/280 + 13*u**6/240 - 17*u**5/120 + 7*u**4/32 - 5*u**3/24 + 6*u**2 + u. Find r such that w(r) = 0.
1, 5
Suppose -5*d + 2*c = 1, 4*c - 11 + 3 = 4*d. Let 6*w + 2*w**2 - d + 4 + w**2 = 0. What is w?
-1
Let f = -6 + 22. Let a(b) = b**2 - b + 3. Let j be a(0). Factor 25*z**3 + 7*z**j + 27*z + f*z**3 - 72*z**2 - 3 + 0.
3*(z - 1)*(4*z - 1)**2
Let n(m) = -6*m**2 + 9. Let r(f) = f**2 - f - 1. Let l be (1 - (2 + -2)) + 0. Let i(y) = l*n(y) + 3*r(y). Let i(a) = 0. What is a?
-2, 1
Let p be 6*-347*(-4)/(-7). Let o = p + 1192. Suppose -16/7*q**4 - 76/7*q**2 - o + 50/7*q**3 + 8*q + 2/7*q**5 = 0. Calculate q.
1, 2
Let 0 + 8/5*t**4 + 0*t - 4/5*t**2 - 14/5*t**3 = 0. What is t?
-1/4, 0, 2
Let o be (-2)/150*-12*20/8. Let 0 + 7/5*b**3 + o*b**2 - 1/5*b + 4/5*b**4 = 0. What is b?
-1, 0, 1/4
Let n(s) = s**3 - 4*s**2 - 2*s - 7. Let j be n(5). Let u = j + -5. Factor 2*d - d + u*d**2 + 0*d - 4*d**2.
-d*(d - 1)
Let t = 6 + -3. Suppose -5*p = 5*n, -t*p + 2*n = -p. Find x such that 0*x**4 + p*x**4 - 3*x**3 - x**4 - 3*x**2 - x = 0.
-1, 0
Let p be (5/(-15))/((-3)/24). Factor -2/3*x**3 + 10/3*x**2 - 16/3*x + p.
-2*(x - 2)**2*(x - 1)/3
Let f be (-356)/(-801)*(-18)/(-5). Let 2*o**2 + f + 2/5*o**3 + 16/5*o = 0. What is o?
-2, -1
Let p(m) be the third derivative of -m**8/60480 - m**7/15120 + m**5/10 + 5*m**2. Let q(u) be the third derivative of p(u). What is v in q(v) = 0?
-1, 0
Let o(u) be the first derivative of -1 + 0*u - 21/10*u**4 + 4/5*u**2 + 16/15*u**3. Factor o(x).
-2*x*(3*x - 2)*(7*x + 2)/5
Let y(b) be the second derivative of -b**8/6720 + b**6/480 + b**5/240 + b**3/6 + b. Let q(l) be the second derivative of y(l). Let q(z) = 0. Calculate z.
-1, 0, 2
Let i(p) = 3*p**3 - p**2 - 1. Let a be i(2). Solve -a*w + 37*w - 15*w + 3*w**3 + 6*w**2 = 0 for w.
-1, 0
Let n(b) be the second derivative of b**8/1344 + b**7/420 - b**5/120 - b**4/96 - b**2/2 - 3*b. Let o(g) be the first derivative of n(g). Factor o(s).
s*(s - 1)*(s + 1)**3/4
Let w(x) = -3*x**5 + 13*x**4 - 7*x**3 + x**2 - 4*x + 7. Let l(j) = 2*j**5 - 9*j**4 + 5*j**3 - j**2 + 3*j - 5. Let v(b) = -7*l(b) - 5*w(b). Factor v(a).
a*(a - 1)**3*(a + 1)
Let l be ((-5)/(-10))/(8 - (11 - 4)). Factor -1/2 + 2*p - 3*p**2 - l*p**4 + 2*p**3.
-(p - 1)**4/2
Let d(a) be the first derivative of -a**5/40 + a**2 + 2. Let g(f) be the second derivative of d(f). Suppose g(h) = 0. What is h?
0
Suppose -2*g + 11 = 3. Suppose -g*m + 0*m + 8 = 0. Solve -6*a**m - a**4 + 6*a**2 - 2*a**3 = 0 for a.
-2, 0
Suppose -3*p + 4*f + 6 = 0, 5*p + 3*f - 19 - 20 = 0. Suppose -4*y = -p*y. Factor 0*q + 1/3*q**4 + 1/3*q**3 + y + 0*q**2.
q**3*(q + 1)/3
Let g(b) = b**3 - 2*b**2 - b + 0*b**2 + 3*b**2. Let i(f) = f**3 - 8*f**2 - 7*f - 19. Let q be i(9). Let l(o) = -5*o**3. Let w(a) = q*l(a) - 4*g(a). Factor w(x).
x*(x - 2)**2
Let p(h) be the second derivative of 2/21*h**3 + 1/42*h**4 + 0 + 0*h**2 + 5*h. Factor p(b).
2*b*(b + 2)/7
Suppose 10 = -2*d - 0*d - 4*j, -3*d = 3*j. Find u such that -53*u + 12*u**4 + 12*u**2 + 56*u - 6*u**3 + 3*u**d + 24*u**3 = 0.
-1, 0
Let h(q) = 2 + 3*q + 5*q - q**2 - 5*q + 4*q. Let j be h(7). Solve 0 + j*b**2 - 2*b**3 + 2/3*b**4 - 2/3*b = 0 for b.
0, 1
Let u = 16/115 + 6/23. What is n in 0*n + 6/5*n**4 - 2/5*n**3 + u*n**5 + 8/5 - 14/5*n**2 = 0?
-2, -1, 1
Let t(a) be the second derivative of a**5/110 + a**4/66 - a**3/33 - a**2/11 + 3*a. Factor t(s).
2*(s - 1)*(s + 1)**2/11
Let r be (-9)/(-12) - (-10)/8. Factor r*c - 1 - 2*c**3 + 2 - 1.
-2*c*(c - 1)*(c + 1)
Let v(m) be the first derivative of 7*m**6/15 + 82*m**5/75 + 17*m**4/30 - 2*m**3/9 - 2*m**2/15 + 1. Determine g so that v(g) = 0.
-1, -2/7, 0, 1/3
Let l(o) = -o. Let p(v) = -v**2 + v - 6. Let g(h) = -6*l(h) - p(h). Factor g(x).
(x + 2)*(x + 3)
Let d(g) be the third derivative of 0*g**4 + 0*g + 0*g**3 - 1/420*g**6 - 3*g**2 + 1/105*g**5 + 0. Factor d(i).
-2*i**2*(i - 2)/7
Let q(u) be the first derivative of u**4/10 - 2*u**3/5 - 9*u**2/5 - 2*u + 28. Factor q(d).
2*(d - 5)*(d + 1)**2/5
Determine c, given that 48020*c + 1493*c**3 + 63*c**3 + 4*c**5 - 216*c**3 + 13720*c**2 + 620*c**3 + 140*c**4 + 67228 = 0.
-7
Factor -3 - 23*f**2 + 14*f - 5*f**2 + 20*f - 9 + 6*f**3.
2*(f - 3)*(f - 1)*(3*f - 2)
Let v(z) be the third derivative of -z**5/90 - z**4/9 + 5*z**2. Let v(y) = 0. Calculate y.
-4, 0
Let 3*f**2 + 0*f**2 - 7*f**2 = 0. Calculate f.
0
Let a(m) be the third derivative of -5*m**5/12 + 5*m**4/12 - 10*m**2. Find w, given that a(w) = 0.
0, 2/5
Let m(n) be the second derivative of -n**5/180 + n**4/18 - 2*n**3/9 - n**2/2 - 2*n. Let o(l) be the first derivative of m(l). Factor o(b).
-(b - 2)**2/3
Suppose -3*v + g + 16 = 0, -2*v + 16 = 2*v - 4*g. Suppose -m + 4*m - v = 0. Factor 0*f + 2/3*f**m + 0*f**3 + 0 - 2/3*f**4.
-2*f**2*(f - 1)*(f + 1)/3
Let q = -410 - -410. Factor 0*g + 0 - 3/4*g**5 + q*g*