of 0 + 2*t**l - 1/12*t**3 - 1/120*t**5 + 0*t - 1/24*t**4. Find w, given that s(w) = 0.
-1
Let l = -55 + 57. Suppose -5/3*a + a**5 + 1/3 - 7/3*a**4 + 2*a**l + 2/3*a**3 = 0. What is a?
-1, 1/3, 1
Suppose 0*l + 3*l - 12 = 0. Let p(a) = 2*a**2 - 1 + 3*a**2 - l*a**2. Let n(i) = 5*i**2 - i - 4. Let t(u) = -n(u) + 4*p(u). Factor t(q).
-q*(q - 1)
Let g(u) be the second derivative of -1/5*u**2 - 2*u - 1/15*u**3 + 0 + 1/50*u**5 + 1/30*u**4. Suppose g(q) = 0. What is q?
-1, 1
Let l = -71/4 + 18. Let 0 - l*z - 1/4*z**2 = 0. What is z?
-1, 0
Let n = -813 - -818. Factor 0*p**4 - 1/2*p - 1/6*p**n - 1/3*p**2 + 1/3 + 2/3*p**3.
-(p - 1)**3*(p + 1)*(p + 2)/6
Let c(x) = -3*x**3 - 2*x**2 - 2*x + 7. Let g(u) = 2*u**3 + 2*u**2 + 2*u - 6. Let l be (10/2)/((-1)/2). Let b = 5 + l. Let w(o) = b*g(o) - 4*c(o). Factor w(d).
2*(d - 1)**2*(d + 1)
Let o be (3/6 - -1)*2. Let a = 0 + o. Factor u**2 + a*u - 2*u + 0*u.
u*(u + 1)
Let q(b) = b**4 - 12*b**3 + 18*b**2 - 10*b + 3. Let n(r) = -r**4 + 11*r**3 - 17*r**2 + 10*r - 3. Let j(p) = -6*n(p) - 5*q(p). Find u such that j(u) = 0.
1, 3
Let t be 2/7 + 296/(-1232). Let b(x) be the first derivative of 3 + 4/33*x**3 - 4/11*x + t*x**4 - 1/11*x**2. Determine i, given that b(i) = 0.
-2, -1, 1
Suppose -21*u + 15 = -16*u. Suppose 2/9*i**4 + 0 + 0*i**u + 0*i**2 + 0*i = 0. What is i?
0
Find y such that -2/3*y**3 - 1/6 + 1/2*y**4 + 2/3*y - 1/3*y**2 = 0.
-1, 1/3, 1
Let b(l) be the third derivative of l**8/504 - 2*l**7/315 + l**5/45 - l**4/36 - 11*l**2. Find y, given that b(y) = 0.
-1, 0, 1
Suppose 0*h - h + 10 = 0. Suppose -h = -4*g - 0*g - 5*s, 5*s - 15 = -5*g. Factor 2/5*a + 2/5*a**g + 12/5*a**3 + 0 - 8/5*a**2 - 8/5*a**4.
2*a*(a - 1)**4/5
Let g be (-12)/(-9)*(-18)/(-12). Determine c so that 5 - 1 + 1 - 4*c**g - 3 + 2*c**4 = 0.
-1, 1
Let r(y) be the second derivative of -y**7/21 + 2*y**6/15 + 3*y**5/10 - y. Suppose r(h) = 0. What is h?
-1, 0, 3
Let x = -11/52 - -6/13. Let u = -50 + 52. Find r such that x*r**u - 1/4 + 0*r = 0.
-1, 1
Let o(z) be the second derivative of -z**7/147 + z**6/105 + 3*z**5/35 + z**4/21 - 5*z**3/21 - 3*z**2/7 + 4*z. What is q in o(q) = 0?
-1, 1, 3
Factor -3/2*p + 1/2*p**2 + 1.
(p - 2)*(p - 1)/2
Let j(k) be the second derivative of k**5/4 + 5*k**4/12 - 25*k**3/6 + 15*k**2/2 + 4*k. Factor j(f).
5*(f - 1)**2*(f + 3)
Let s = -6 - -13/2. Find c, given that -1 + s*c**2 - 1/2*c = 0.
-1, 2
Let f(m) be the second derivative of m**7/63 - m**6/15 + m**5/10 - m**4/18 - 8*m. Factor f(a).
2*a**2*(a - 1)**3/3
Let q(n) = -2*n - 2*n**3 + 8*n - 2*n + 2*n**4. Let z(w) = 6*w**4 - 6*w**3 + w**2 + 13*w. Let y(b) = -7*q(b) + 2*z(b). Factor y(g).
-2*g*(g - 1)**2*(g + 1)
Let c(d) be the third derivative of -3*d**8/112 + d**7/35 + 14*d**2. Find j such that c(j) = 0.
0, 2/3
Let k(n) be the third derivative of -n**7/2520 - n**4/8 + n**2. Let g(d) be the second derivative of k(d). Factor g(c).
-c**2
Let 0*x + 0 + 2/3*x**2 - 1/3*x**3 - 1/3*x**4 = 0. Calculate x.
-2, 0, 1
Let l(i) be the second derivative of -3*i + 0*i**2 + 1/5*i**3 + 0 - 1/20*i**4 - 3/100*i**5. Factor l(h).
-3*h*(h - 1)*(h + 2)/5
Determine d so that 0*d - 3/2*d**4 + 0*d**2 + 0 + 3*d**3 - 9/2*d**5 = 0.
-1, 0, 2/3
Let l(s) be the first derivative of -28*s**5/5 + 43*s**4/2 - 164*s**3/7 + 76*s**2/7 - 16*s/7 - 8. Suppose l(n) = 0. Calculate n.
2/7, 1/2, 2
Suppose -3*m = 3*o, -4*o = m - 2 - 7. Suppose -2*c**3 + 3*c**o - 2*c + 2*c - c**4 = 0. What is c?
0, 1
Let s(x) = -x**4 - x**3 - x + 1. Let k(c) = -2*c**5 + 10*c + 10*c**4 + 0 + 5*c**3 - 1 - 9 + 5*c**3. Let p(h) = k(h) + 10*s(h). Factor p(t).
-2*t**5
Find b, given that 14*b**3 - 4/5 + 28/5*b - 5*b**4 - 69/5*b**2 = 0.
2/5, 1
Let a(s) be the second derivative of -2/3*s**3 - 1/315*s**6 - 3*s + 0 + 0*s**2 - 1/60*s**5 + 1/42*s**4. Let o(h) be the second derivative of a(h). Factor o(p).
-2*(p + 2)*(4*p - 1)/7
Let p(i) = -i**4 - 4*i**3 - 8*i**2 + 4*i + 9. Let v(k) = 4*k**4 + 20*k**3 + 40*k**2 - 20*k - 44. Let f(g) = 14*p(g) + 3*v(g). Factor f(m).
-2*(m - 3)*(m - 1)*(m + 1)**2
Suppose 5*f - 20 = 15. What is g in -4*g**3 + g + g**2 + f*g + 3*g**2 = 0?
-1, 0, 2
Let d(w) = 18*w**4 + 106*w**3 + 290*w**2 + 324*w + 125. Let b(q) = -q**5 + q**4 - q. Let l(j) = -b(j) + d(j). Factor l(z).
(z + 1)**2*(z + 5)**3
Let w = 48 + -34. Let x be 24/w - 8/(-28). What is d in 2*d**4 + 0*d**4 - d**4 - d - 3*d**2 + d**3 + x*d**2 = 0?
-1, 0, 1
Factor -1/2*z + 0 - 9/4*z**2.
-z*(9*z + 2)/4
Let v(k) be the first derivative of k**6/720 + k**5/120 + 5*k**3/3 - 6. Let h(g) be the third derivative of v(g). Factor h(z).
z*(z + 2)/2
Suppose 3*i - 6 = 2*q, -7*i + 3*i + 8 = -q. Factor -1/5*j**4 + q*j + 0 - 1/5*j**5 + 0*j**2 + 0*j**3.
-j**4*(j + 1)/5
Let m(n) = -5 - 1 + 0 + n. Let x be m(9). Suppose -x*r + 2*r**5 + 2*r**3 + 3*r + 4*r**4 = 0. What is r?
-1, 0
Let j = -86 + 86. Let r(y) be the second derivative of 1/42*y**4 - 2*y - 1/105*y**6 + 1/70*y**5 + j*y**3 - 1/147*y**7 + 0*y**2 + 0. Find c, given that r(c) = 0.
-1, 0, 1
Let v(c) be the third derivative of c**7/140 - 13*c**6/240 + 13*c**5/120 - c**4/16 - 17*c**2 + 2. Determine r, given that v(r) = 0.
0, 1/3, 1, 3
Let g(v) be the second derivative of -v**8/840 - v**7/525 + v**6/300 + v**5/150 + 3*v**2/2 - v. Let t(y) be the first derivative of g(y). Solve t(u) = 0.
-1, 0, 1
Let l be (4/(-10))/(2/(-10)). Solve -10*v - 7*v**3 + 13*v**2 + 10*v**4 - 13*v**3 - 2*v**5 + 2 + 7*v**l = 0 for v.
1
Let w(r) = r**3 + 6*r**2 + 4*r - 3. Let k be w(-5). Suppose -1 = -g + 2. Suppose -t + t**2 + t**4 - k*t**g + t = 0. What is t?
0, 1
Let m = 2 + 0. Let k be 2/m - (-7 - -4). Factor -2/3*r**k - 2*r**3 - 2/3*r - 2*r**2 + 0.
-2*r*(r + 1)**3/3
Let i(f) = -f**2 - 7*f - 9. Let m be i(-7). Let r be (-68)/(-144) + 2/m. Factor 1/2*n**2 - r*n**3 - 1/4*n + 0.
-n*(n - 1)**2/4
Suppose -6*t = -5*t. Let b(g) be the first derivative of -4 - g**2 + 4/3*g**3 + t*g. Factor b(x).
2*x*(2*x - 1)
Let x be 0/(12/(-8)*6/(-9)). Let r(g) be the second derivative of g**2 - 3*g - 1/6*g**4 + 0 + x*g**3. Factor r(a).
-2*(a - 1)*(a + 1)
Let s = 23 - 41. Let b be (-54)/243 - 16/s. Factor -1/3*y**2 + b*y - 4/3*y**3 + 0 + y**4.
y*(y - 1)**2*(3*y + 2)/3
Let f = 3 + 1. Determine z, given that -12*z**4 + 3*z - 11*z + 8*z**f + 8*z**3 + 4 = 0.
-1, 1
Let r(t) be the third derivative of 3*t**2 + 0*t**3 - 1/60*t**5 + 0*t + 0*t**6 + 0*t**4 + 0 + 1/210*t**7. Factor r(j).
j**2*(j - 1)*(j + 1)
Let t(y) be the third derivative of -y**8/112 - y**7/10 - 19*y**6/40 - 5*y**5/4 - 2*y**4 - 2*y**3 - 2*y**2. What is f in t(f) = 0?
-2, -1
Find b, given that -2*b**2 + 0*b**2 + 4*b + 6*b**2 - 8*b**2 = 0.
0, 1
Let c(y) = y + 12. Let s be c(-9). Factor -i**3 + 0*i**3 + 44 - 3*i**s + 48*i**2 - 192*i + 212.
-4*(i - 4)**3
Let d(h) = -h**2 + 3*h + 4. Let w be d(3). Factor 2*p**2 + 0*p**2 + 2*p**4 + 3*p**3 - w - 6*p + 3*p**3.
2*(p - 1)*(p + 1)**2*(p + 2)
Determine p so that 2*p**4 - 8*p**4 - p**4 - p**4 + 8*p**2 + 4*p**5 - 4*p = 0.
-1, 0, 1
Let p(d) be the second derivative of -d**8/3360 + d**7/504 + d**6/240 - d**4/12 + 5*d. Let m(h) be the third derivative of p(h). Factor m(y).
-y*(y - 3)*(2*y + 1)
Let c(o) be the second derivative of o**6/15 + o**5/4 - 20*o. Factor c(j).
j**3*(2*j + 5)
Let m be (-6)/4*50/15. Let a be 3 + m - 10/(-3). What is s in -4/3 - 1/3*s**2 - a*s = 0?
-2
Let x(o) = 2*o**2 - o - 1. Let u(k) = 11*k**2 - 16*k + 5. Let q(m) = -5*u(m) + 30*x(m). Factor q(s).
5*(s - 1)*(s + 11)
Let i(q) = q**2 - 4*q - 6. Let v be i(6). Factor -6*k - 6*k + v*k + 2*k**2.
2*k*(k - 3)
What is q in -3/5*q**3 + 0 + 3/5*q**2 + 6/5*q = 0?
-1, 0, 2
Let i(t) be the second derivative of -3*t**5/50 - t**4/15 + t**3/15 - 35*t. Solve i(a) = 0 for a.
-1, 0, 1/3
Suppose -4*z = -9*z. Let h be (-4 - 32/(-7))*7. Factor z*u + 0 + 3/2*u**4 + h*u**3 + 2*u**2.
u**2*(u + 2)*(3*u + 2)/2
Factor -9/4*u + 3/2 + 3/4*u**2.
3*(u - 2)*(u - 1)/4
Let g = -336 + 336. Determine s, given that 0*s**2 - 2/5*s + 4/5*s**3 + g*s**4 - 2/5*s**5 + 0 = 0.
-1, 0, 1
Suppose 0*p = -5*p + 20. Let q(h) be the third derivative of 0*h - 1/60*h**6 - 1/210*h**7 - 1/60*h**5 + 0*h**p + 0 + 0*h**3 + h**2. What is n in q(n) = 0?
-1, 0
Let r be (-130)/(-585)*30/4. Find l such that -r*l + 2/3 - 7/3*l**2 = 0.
-1, 2/7
Let o = -1533464/18777 - -3/6259. Let i = o + 83. Factor -6*s + i + 8/3*s**2.
2*(s - 2)*(4*s - 1)/3
Let y(i) be the second derivative of i**4/6 + 