+ 12/7*j**3 + 18/7*j**2 + 3/7*j**4 + o.
3*(j + 1)**4/7
Let c be 651/1155 + 8/(-22). Factor c*l**3 - 1/5*l**2 + 1/5 - 1/5*l.
(l - 1)**2*(l + 1)/5
Suppose -t - 3*x - 16 + 6 = 0, -3*x - 2 = 5*t. Let v(m) = -m**2 - 5*m + 2. Let o be v(-4). Factor o*h + t - 6*h**2 + h - 3*h.
-2*(h - 1)*(3*h + 1)
Let x be 2*(-3)/6*2. Let j be (0 + 1)/(x/(-6)). Let -3*w**4 + w**j + 3*w**5 - 4*w**3 + 5*w - 5*w + 3*w**2 = 0. What is w?
-1, 0, 1
Let w be ((-25)/(-2))/((-27)/(-18)). Let k = w + -8. Factor k*o**2 + 4/3 + 4/3*o.
(o + 2)**2/3
Suppose i - 4 = 5*i. Let n = i + 1. Factor g**2 + 1/2*g**3 + 1/2*g + n.
g*(g + 1)**2/2
Let n(z) be the third derivative of -z**8/112 + z**7/14 - 7*z**6/40 - z**5/20 + z**4 - 2*z**3 + z**2. Let n(r) = 0. What is r?
-1, 1, 2
What is w in 7*w**2 + 36*w - 11 + 4*w**3 - 5 - 8*w**2 - 23*w**2 = 0?
1, 4
Let t(d) = 8*d**2 + 16*d - 4 - d**3 - d - 3 - 5*d. Let a be t(9). Find q such that -16/9*q + 32/9*q**a + 2/9 = 0.
1/4
Let m(g) be the first derivative of 0*g**5 + 0*g + 1/3*g**6 - 1/2*g**4 - 1 + 0*g**3 + 0*g**2. Factor m(t).
2*t**3*(t - 1)*(t + 1)
Let j(x) = x**2 - 7*x - 8. Let f(k) = k**2 - 6*k - 7. Let u(m) = 7*f(m) - 6*j(m). Factor u(n).
(n - 1)*(n + 1)
Let z be 2/(-10) + (-48)/(-80). What is h in 2/5 - z*h + 2/5*h**3 - 2/5*h**2 = 0?
-1, 1
Solve -36/17*a**2 - 16/17 - 2/17*a**4 + 40/17*a + 14/17*a**3 = 0 for a.
1, 2
Let h(m) be the first derivative of -2/9*m**3 + 1/15*m**5 + 1/3*m - 1 - 1/6*m**2 + 1/6*m**4 - 1/18*m**6. What is u in h(u) = 0?
-1, 1
Let o(l) = -l**4 + l**3 - l - 1. Let k(u) = -6*u**4 + 8*u**3 - 2*u**2 - 3*u - 3. Suppose 0*r = 4*r + 8. Let z(v) = r*k(v) + 6*o(v). Suppose z(g) = 0. What is g?
0, 2/3, 1
Let a be (0 - (-5 - 0))*1. Suppose -2*c + a*c - 6 = 0. Factor -c*k**2 + 0*k + k - k.
-2*k**2
Suppose 2/17*n**3 + 10/17*n - 4/17 - 8/17*n**2 = 0. What is n?
1, 2
Let d(v) = -276*v**3 + 64*v**2 + 36*v - 4. Let h(u) = u**3 - u. Let p(w) = -d(w) - 20*h(w). Let p(i) = 0. What is i?
-1/4, 1/4
Let x(f) = -33*f + 71. Let a be x(2). Factor -1/2*s**a - 3/2*s - 4*s**3 - 9/4*s**4 - 7/2*s**2 - 1/4.
-(s + 1)**4*(2*s + 1)/4
Factor 4*t**3 + 8*t**2 - 5 - 4*t - 6 + 3.
4*(t - 1)*(t + 1)*(t + 2)
Let s = -102 + 102. What is m in s*m - 1/4*m**5 + 1/4*m**4 + 0 + 0*m**2 + 0*m**3 = 0?
0, 1
Let o(u) be the third derivative of u**9/336 + u**8/280 + u**7/840 + u**3/6 - u**2. Let z(a) be the first derivative of o(a). Factor z(l).
l**3*(3*l + 1)**2
Let t be 3/15 + (-57)/(-15). Let p be 2*(1 + 0 - 0). Solve -4*v**3 + 0*v**2 + 0*v**2 + p*v**t + 2*v**2 = 0 for v.
0, 1
Let p(a) be the first derivative of -1/6*a**6 + 1/4*a**4 - 3 + 0*a + 0*a**3 + 0*a**5 + 0*a**2. Solve p(j) = 0 for j.
-1, 0, 1
Suppose -7*c + 10*c**2 + 2*c**3 + 2*c**2 - 5*c**3 - 5*c = 0. Calculate c.
0, 2
Suppose -2*k**3 - k**3 + 26*k**2 - 2*k + 0*k - 31*k**2 = 0. Calculate k.
-1, -2/3, 0
What is b in -4/7*b - 2/7*b**2 + 4/7*b**3 + 2/7 = 0?
-1, 1/2, 1
Let i(b) = -4*b**4 + 2*b**3 + 6*b**2 - 5. Let d(u) = -4 - 6*u**4 + 3*u**4 + 0*u**4 + 2*u**3 + 5*u**2. Let c(q) = -5*d(q) + 4*i(q). Factor c(m).
-m**2*(m + 1)**2
Suppose 0*u - 4*u + 24 = 0. Solve 9*t**3 + u*t**2 + 0*t**5 - t**5 - 2*t**5 = 0 for t.
-1, 0, 2
Factor -6*t**3 + 4*t**3 - 4*t**4 + 0*t**3 - 10*t**3 - 8*t**2.
-4*t**2*(t + 1)*(t + 2)
Let o(q) be the first derivative of -q**3/5 - 12*q**2/5 - 48*q/5 + 10. What is r in o(r) = 0?
-4
Let z = 16/13 + -275/234. Let l(t) be the second derivative of 2/9*t**2 - z*t**4 + 0 + 1/27*t**3 + 1/135*t**6 + t - 1/90*t**5. Suppose l(v) = 0. What is v?
-1, 1, 2
Suppose -3*r - 10 = -3*z - 2*r, -r = -z + 4. Factor x - 2/3*x**2 + 0 - 1/3*x**z.
-x*(x - 1)*(x + 3)/3
Let b(h) be the third derivative of -1/24*h**4 + 0*h**6 - h**2 + 0*h**3 + 1/336*h**8 + 0*h + 1/105*h**7 - 1/30*h**5 + 0. Factor b(p).
p*(p - 1)*(p + 1)**3
Let l(k) be the first derivative of 1/4*k - 1/12*k**3 + 0*k**2 + 3. Find y, given that l(y) = 0.
-1, 1
Suppose -v - 8 = -2*q, -v + 3*q - 4 = 9. Factor 2/13*t**3 + 0*t + 0 + 2/13*t**v.
2*t**2*(t + 1)/13
Suppose -2 = -4*q + 2. Let y be -1*q*(-9 - -7). Factor 1/2 - g + 1/2*g**y.
(g - 1)**2/2
Suppose 4*p - 8*p + 8 = 0. Factor 20*j + 22*j**2 - 12*j**p - 4 + 12*j**3 - 38*j**2.
4*(j - 1)**2*(3*j - 1)
Solve -2/11*c**3 + 6/11*c**2 - 6/11 + 2/11*c = 0.
-1, 1, 3
Let d(o) = -5*o - 2*o + 0*o + 8*o**2 - 7*o**2 + 6. Let u be d(6). Let -1/2*z**2 - 1/2*z + u = 0. Calculate z.
-1, 0
Let g be (1 - 0) + (-109)/111. Let u = 236/777 - g. What is b in 16/7*b + u*b**3 - 8/7 - 10/7*b**2 = 0?
1, 2
Suppose -3*c - 2*k = 5 + 10, -15 = 3*c - k. Let d be (-9)/12*(c + 1). Suppose 0*g**2 - 1/3*g**4 + 1/3*g**d + 0*g + 0 = 0. Calculate g.
0, 1
Let c(f) be the third derivative of f**8/168 - 11*f**7/210 + f**6/6 - 11*f**5/60 - f**4/6 + 2*f**3/3 + f**2. What is y in c(y) = 0?
-1/2, 1, 2
Suppose 2 = 5*g - 13. Suppose 5*y = 3*f + g, y - 3 = 2*f + f. Factor y*s**3 - 3/4*s**2 + 1/2*s + 1/4*s**4 + 0.
s*(s - 1)**2*(s + 2)/4
Let o(d) = -d**4 + 3*d**3 - 6*d**2 + d - 3. Let y(s) = -8*s**4 + 26*s**3 - 54*s**2 + 10*s - 26. Let z(c) = 52*o(c) - 6*y(c). Let z(k) = 0. What is k?
-2, 0, 1
Let q(d) be the first derivative of -3/4*d**3 - d + 1 - 1/4*d**4 - 3/4*d**2. Let i(l) be the first derivative of q(l). Factor i(v).
-3*(v + 1)*(2*v + 1)/2
Suppose k**2 + k**2 - 2*k - 4*k**2 + 0*k = 0. Calculate k.
-1, 0
Let f(y) = -12*y**2 - 7*y + 5. Let l(p) = 4*p**2 + 2*p - 2. Let q = -4 + 1. Let m(o) = q*f(o) - 8*l(o). Find s, given that m(s) = 0.
-1, -1/4
Factor 4/9 + 4/9*x**2 - 8/9*x.
4*(x - 1)**2/9
Factor -4/7*h + 6/7*h**2 - 2/7*h**4 + 0 + 0*h**3.
-2*h*(h - 1)**2*(h + 2)/7
Factor -1/2*s**3 + 0 - 7/2*s**2 + 0*s.
-s**2*(s + 7)/2
Let m(p) be the third derivative of p**5/360 - p**4/36 + p**3/9 + 4*p**2. Factor m(z).
(z - 2)**2/6
Let c(w) = -w**3 + 6*w**2 - 6*w. Let m be c(4). Let -10*v**2 - 2*v**2 - 2 - 1 + 18*v**3 + m*v - 26*v + 15*v**4 = 0. Calculate v.
-1, -1/5, 1
Let y(h) = 2*h**2 - 4*h. Let s(g) = g. Let u(w) = 4*s(w) + 2*y(w). Find b such that u(b) = 0.
0, 1
Let z(u) be the third derivative of -1/360*u**6 + 1/72*u**4 - 1/180*u**5 + 1/18*u**3 + 0 + 0*u - u**2. Let z(i) = 0. What is i?
-1, 1
Let j(s) be the second derivative of 1/12*s**4 + 0*s**2 + 0 - 4*s - 1/60*s**5 - 1/9*s**3. Factor j(y).
-y*(y - 2)*(y - 1)/3
Let x = -127 + 131. Factor 4/3*h**2 + 0*h**3 + 2/3*h - 2/3*h**5 + 0 - 4/3*h**x.
-2*h*(h - 1)*(h + 1)**3/3
Let f = -9 + 16. Suppose -2*m = -f*m. Let m*x + 2/3*x**5 - 2/3*x**3 + 2*x**4 + 8/3 - 14/3*x**2 = 0. What is x?
-2, -1, 1
Solve 8 - 4*p**3 - 16*p**2 + 32*p**2 + 16 + 44*p = 0 for p.
-1, 6
Let b(n) be the first derivative of 3*n**2 - 1 + 1/3*n**3 + 9*n. Solve b(i) = 0.
-3
Suppose 0*t = -9*t + 54. Let x(k) be the third derivative of 1/15*k**3 + 0*k**5 + 0 - 1/30*k**4 + 1/150*k**t + k**2 - 1/525*k**7 + 0*k. Factor x(p).
-2*(p - 1)**3*(p + 1)/5
Let b be (1 - 3/(-21))/2. Suppose 0 = -6*n - 2*n + 40. Factor -b*r**4 + 0 + 2/7*r**n + 4/7*r**2 + 0*r**3 - 2/7*r.
2*r*(r - 1)**3*(r + 1)/7
Let o(j) be the third derivative of j**6/360 - j**5/60 + 2*j**3/9 - 6*j**2 + 3*j. Solve o(y) = 0 for y.
-1, 2
Let w(b) be the third derivative of 0*b - 1/1344*b**8 + 0 - 7/480*b**6 - 1/168*b**7 + 4*b**2 + 1/6*b**3 + 1/12*b**4 + 1/240*b**5. Solve w(x) = 0.
-2, -1, 1
Let j(f) = f**5 + 3*f**4 - 9*f**3 + 5*f**2 + 5*f + 5. Let o(h) = 4*h**4 - 8*h**3 + 4*h**2 + 4*h + 4. Let i(n) = 4*j(n) - 5*o(n). Factor i(l).
4*l**3*(l - 1)**2
Factor 2/3*i + 1/6*i**2 + 2/3.
(i + 2)**2/6
Suppose -r = 2*r - 12. Factor -6*s**3 - 2*s**5 - 5*s - 9*s**4 + 3*s**r - 2*s**2 + 5*s.
-2*s**2*(s + 1)**3
Let i = 28 - 25. Let z(p) be the second derivative of 0*p**2 + 1/6*p**i + 0 + 1/12*p**4 + 2*p. Determine n so that z(n) = 0.
-1, 0
Let b(u) = u**2 - u - 1. Let v(a) = -a**5 + 2*a**3 - 7*a**2 + 6*a + 7. Let q(p) = 35*b(p) + 5*v(p). Factor q(c).
-5*c*(c - 1)**2*(c + 1)**2
Let b(n) be the second derivative of -5*n**7/42 + 35*n**6/3 - 490*n**5 + 34300*n**4/3 - 480200*n**3/3 + 1344560*n**2 - n + 24. Factor b(l).
-5*(l - 14)**5
Let q(m) be the first derivative of 2 + 0*m**3 + 1/10*m**5 + 0*m + 0*m**2 + 0*m**4. Suppose q(x) = 0. Calculate x.
0
Let a(g) = g**2 - 6*g + 6. Let x be a(7). Factor 5 - h**2 - 40*h**3 + 10*h**4 - 3 + 10*h**2 + 6*h**4 + x*h.
(h - 2)*(h - 1)*(4*h + 1)**2
Suppose 4 = 2*h - 2. Let o = 7 - h. Factor 1/3*j**5 + 0 + 2/3*j**o + 0*j + 0*j**2 + 1/3*j**3.
j**3*(j + 1)**2/3
Let k(l) = l**2 - l. Let j be k(-1).