*w**3*(3*w + 1)
Let f = -6 + 14. Suppose f*j - 3*j = 15. Factor -1/3*z**2 + 1/3 + 1/3*z - 1/3*z**j.
-(z - 1)*(z + 1)**2/3
Find v such that -8/5 + 8/5*v + 22*v**2 - 56/5*v**3 = 0.
-2/7, 1/4, 2
Determine q, given that 2/7*q**2 + 0 + 10/7*q = 0.
-5, 0
Let b(l) be the third derivative of l**5/60 - 5*l**4/12 + 25*l**3/6 + 16*l**2. Solve b(m) = 0 for m.
5
Let c be 106/34 - 3/((-153)/(-6)). What is g in 0*g + 2/7*g**2 + 2/7*g**c + 0 = 0?
-1, 0
Suppose -6*i + 10 = -i. Factor 1/3*a**i + 0*a + 0.
a**2/3
Let n(v) be the third derivative of -1/270*v**6 + 0 + 0*v**5 + 1/1512*v**8 + 3*v**2 + 0*v**3 + 0*v + 1/108*v**4 + 0*v**7. Factor n(f).
2*f*(f - 1)**2*(f + 1)**2/9
Suppose -2*m - 3*r = -4*m - 15, 2*m + 3*r - 15 = 0. Suppose 1/2*u + m + 1/2*u**2 = 0. Calculate u.
-1, 0
Factor -8/9*t**3 + 0 + 2/9*t**2 - 2/3*t**4 + 4/9*t.
-2*t*(t + 1)**2*(3*t - 2)/9
Let p(c) be the second derivative of -c**6/900 - c**5/300 - c**3/3 + c. Let g(u) be the second derivative of p(u). Factor g(x).
-2*x*(x + 1)/5
Let v = -4871/21 - -232. Let a(g) be the second derivative of g + v*g**7 + 0*g**2 + 0 - 1/12*g**4 - 1/6*g**6 + 0*g**3 + 1/5*g**5. Factor a(s).
s**2*(s - 1)**2*(2*s - 1)
Suppose 3*z = -0*z - z. Factor -4/3*x**2 - 4/3*x**4 + 1/3*x**5 + 2*x**3 + 1/3*x + z.
x*(x - 1)**4/3
Let v be -1*(-2 + 1)*0. Factor -1/2*a**3 - 1/2*a**2 + a + v.
-a*(a - 1)*(a + 2)/2
Let s(o) be the first derivative of o**7/105 + o**2 + 1. Let z(u) be the second derivative of s(u). Factor z(m).
2*m**4
Let p(g) = g**2 - 7*g - 7. Let c(o) = -3*o - 3. Suppose r + 7 - 4 = 0. Let i(a) = r*p(a) + 7*c(a). Let i(j) = 0. What is j?
0
Let j be ((-60)/80)/((-27)/48). Solve -5/3*n**3 + 0 + 0*n - 1/3*n**5 - j*n**4 - 2/3*n**2 = 0 for n.
-2, -1, 0
Let u(y) be the first derivative of -3*y**2 + 3/4*y**4 + 10 + 0*y + y**3. Factor u(h).
3*h*(h - 1)*(h + 2)
Let j(x) = x**2 + x - 13. Let s be j(0). Let l be s/(-6) + (-3)/2. Suppose -2/3*m**2 + 0*m + l = 0. Calculate m.
-1, 1
Let l be 18*((-10)/4 - -3). Find a, given that -l*a**4 + 6 + 27*a**2 + 3*a**3 - 17*a + 0 - 8*a - 2*a = 0.
-2, 1/3, 1
Let y(t) be the first derivative of 1/4*t**2 - 5/6*t**3 + 0*t + 9/10*t**5 + 3/8*t**4 - 2. Factor y(f).
f*(f + 1)*(3*f - 1)**2/2
Let l(z) be the first derivative of 2*z**5/45 + z**4/18 - 2*z**3/27 - z**2/9 - 3. Let l(d) = 0. What is d?
-1, 0, 1
Let h(j) = 16*j**4 + 10*j**3 + 4*j**2 + 10*j - 10. Let n(t) = -5*t**4 - 3*t**3 - t**2 - 3*t + 3. Let x(c) = 3*h(c) + 10*n(c). Factor x(w).
-2*w**2*(w - 1)*(w + 1)
Let j(f) be the second derivative of -9*f**6/80 + 27*f**5/32 - 39*f**4/32 + 37*f**3/48 - f**2/4 - 26*f - 1. Factor j(a).
-(a - 4)*(3*a - 1)**3/8
Let f(c) be the second derivative of c**8/26880 - c**7/10080 - c**4/6 + 2*c. Let l(d) be the third derivative of f(d). Factor l(g).
g**2*(g - 1)/4
Suppose -5*a + 17*a = 0. Solve 2*o**2 - 2/3*o + a + 2/3*o**4 - 2*o**3 = 0.
0, 1
Suppose -10 = -5*l, 3*m = -0*m + 5*l - 1. Suppose -r + 8 = 2*s - 5*r, -4*s - r = -25. Factor m*n**2 + n**4 + 3*n - s*n**3 - 4*n + 3*n**3.
n*(n - 1)**3
Let p be 2/(-15) - (-2)/10. Let l(h) be the first derivative of p*h**6 + 3/5*h**4 + 0*h - 8/25*h**5 - 8/15*h**3 + 1/5*h**2 - 2. Factor l(k).
2*k*(k - 1)**4/5
Let v(m) be the third derivative of -5*m**10/2016 - m**9/168 + 9*m**8/560 - m**7/105 + m**4/8 + 2*m**2. Let x(j) be the second derivative of v(j). Factor x(h).
-3*h**2*(h + 2)*(5*h - 2)**2
Let p(h) be the third derivative of h**6/96 + h**5/80 - h**4/48 - 5*h**2. Factor p(w).
w*(w + 1)*(5*w - 2)/4
Let j(b) = -2*b - 7. Let c be j(-5). Let v = -1 + c. Solve -6 + 4 - l**v - 2*l - l = 0.
-2, -1
Let f(r) = r**3 - r**2 - r. Let j be f(2). Let h(q) be the second derivative of 0 + 3*q + 1/20*q**4 + 2/5*q**3 + 6/5*q**j. Factor h(l).
3*(l + 2)**2/5
Let q = 88 + -83. Let y(g) be the first derivative of 0*g**3 + 0*g + 0*g**2 + 0*g**4 + 1/5*g**q + 2. Suppose y(j) = 0. What is j?
0
Let o be (-1709)/45 + 2/(-9). Let l = -38 - o. Factor 1/5*j**2 + l*j + 0.
j*(j + 1)/5
Suppose -k = z - 5, -z + 2*k = -5*z + 10. Let v(o) be the first derivative of 1/4*o**4 - 2 - 1/5*o**5 + 0*o**3 + 0*o + z*o**2. Factor v(c).
-c**3*(c - 1)
Let h(t) be the second derivative of -t**5/210 + t**3/21 + 5*t**2/2 - t. Let q(y) be the first derivative of h(y). Factor q(j).
-2*(j - 1)*(j + 1)/7
Let j(o) be the second derivative of o**5/20 - 5*o**4/12 + o**3/3 + 4*o**2 + 2*o + 17. Determine s so that j(s) = 0.
-1, 2, 4
Let j(a) be the third derivative of -a**6/30 - 2*a**5/15 + a**4/6 + 4*a**3/3 - 19*a**2. Solve j(v) = 0 for v.
-2, -1, 1
Let t(m) be the first derivative of m**7/1155 - m**6/660 + m**2/2 - 1. Let b(c) be the second derivative of t(c). Factor b(o).
2*o**3*(o - 1)/11
Let w(j) be the second derivative of -13/48*j**4 + 2*j + 0 - 27/80*j**5 - 1/12*j**3 - 23/120*j**6 - 1/24*j**7 + 0*j**2. Solve w(u) = 0 for u.
-1, -2/7, 0
Let v = -302 - -305. Factor 10/13*y**v + 4/13 + 14/13*y + 18/13*y**2 + 2/13*y**4.
2*(y + 1)**3*(y + 2)/13
Let y(v) = 8*v**2 + v. Let z(p) = p + 10. Let x be z(-8). Let r(g) = 2 + g - 4*g**x - 2 + 11*g**2. Let b(q) = 7*r(q) - 6*y(q). Factor b(a).
a*(a + 1)
Let c(s) = -3*s**2 + 23*s + 16. Let v(a) = -4*a**2 + 24*a + 16. Let x(i) = 6*c(i) - 5*v(i). Factor x(f).
2*(f + 1)*(f + 8)
Let r = -5 + 8. Let b = r + -3. Let 0*h**2 + 4*h - h**2 - 4 + b = 0. What is h?
2
Let l(c) = 4*c**5 - 4*c**4 + c**3 + 9*c**2 - 5*c - 5. Let g(n) = n**3 + n**2 - n - 1. Let z(x) = -5*g(x) + l(x). Factor z(s).
4*s**2*(s - 1)**2*(s + 1)
Find c such that 6 - 10 + 2*c**2 + 4*c**2 + 10 + c**3 + 11*c = 0.
-3, -2, -1
Let u(k) be the second derivative of -k**7/315 + k**5/30 - k**4/18 - k**2 - k. Let q(o) be the first derivative of u(o). Let q(b) = 0. Calculate b.
-2, 0, 1
Let g(p) be the third derivative of 0 + 0*p - 1/18*p**4 - 7/360*p**6 - 8*p**2 - 4/45*p**5 + 0*p**3. Factor g(k).
-k*(k + 2)*(7*k + 2)/3
Let 2/17*i**2 + 18/17 - 12/17*i = 0. What is i?
3
Let v(x) = -x**2 + 4*x + 7. Let i be v(5). Factor 27 - 27 + j**i.
j**2
Let q(a) = a**3 - 9*a**2 + 8*a + 4. Let f be q(8). Suppose -f*y = y - 10. Factor -3*l + l**2 + 3*l + 1 + 0 + y*l.
(l + 1)**2
Suppose 2*c + 99 = 5*c. Factor 33 - 2*n**3 - 2*n**4 - c.
-2*n**3*(n + 1)
Let h be 15/(-2)*2/(-3) - 0. Let o(a) be the first derivative of -8/3*a**3 + 0*a - 1/3*a**6 - 8/5*a**h - 3 - a**2 - 3*a**4. Factor o(x).
-2*x*(x + 1)**4
Factor 0 + 8/5*w**2 + 1/5*w**4 + 16/5*w - 7/5*w**3.
w*(w - 4)**2*(w + 1)/5
Let i(l) be the second derivative of -l**5/10 + l**4/3 + 8*l**3/3 + l + 5. Factor i(c).
-2*c*(c - 4)*(c + 2)
Suppose 3*r - 4*h - 20 = 8*r, -10 = 2*h. Let y be 9/12*(-3 + (-44)/(-12)). Factor r + y*a**2 + 0*a.
a**2/2
Let w(x) = 2*x**2 - 5*x + 8. Let v(f) = -3*f**2 + 6*f - 8. Let n(l) = 3*v(l) + 4*w(l). Determine m so that n(m) = 0.
-4, 2
Suppose 2/13*s**2 + 2/13 + 4/13*s = 0. Calculate s.
-1
Find n such that 14*n**2 + 8/3 - 2*n**5 + 32/3*n + 14/3*n**3 - 10/3*n**4 = 0.
-1, -2/3, 2
Let -4/15*d + 2/15*d**2 - 2/5 = 0. Calculate d.
-1, 3
Let h(d) be the third derivative of d**6/360 + 2*d**5/45 + 2*d**4/9 + 6*d**2. Factor h(u).
u*(u + 4)**2/3
Let h(v) be the second derivative of -v**6/120 - v**5/40 + v**4/16 + v. Let h(q) = 0. What is q?
-3, 0, 1
Let c(l) be the third derivative of -10*l**2 + 0 - 1/21*l**3 + 1/42*l**4 + 0*l + 1/210*l**5 - 1/210*l**6. Solve c(t) = 0.
-1, 1/2, 1
Let a(o) be the second derivative of o**5/4 - 5*o**4/6 - 5*o**3/6 + 5*o**2 + 29*o. What is w in a(w) = 0?
-1, 1, 2
Let q(d) be the second derivative of d**6/75 + d**5/25 - 2*d**3/15 - d**2/5 - 4*d - 6. What is n in q(n) = 0?
-1, 1
Let x(l) = l**2 - 11*l - 12. Let i be x(13). Factor -g**3 + 2*g - 15*g**2 + i*g**2 + 0*g**3.
-g*(g - 1)*(g + 2)
Let q be 5/20*12 + 1. Suppose 2/7*l**5 - 4/7*l**q + 0 + 2/7*l**3 + 0*l + 0*l**2 = 0. Calculate l.
0, 1
Let x(y) = 3*y**3 + y. Let g be x(1). Let -g*n**2 + 4*n**2 + 5*n**2 - 3*n**2 = 0. Calculate n.
0
Suppose -2*m - 4*m = -18. Let b(h) be the first derivative of m + 0*h + 1/5*h**5 - 1/4*h**4 + 1/2*h**2 - 1/3*h**3. Factor b(f).
f*(f - 1)**2*(f + 1)
Let u be 10/2 + 9/(-3). Find g such that 4*g**3 + g + 3*g**u - g**2 + 3*g**2 = 0.
-1, -1/4, 0
Let r = 18/43 + -76/387. Factor -2/9*l**2 + 0 + 2/9*l - r*l**3 + 2/9*l**4.
2*l*(l - 1)**2*(l + 1)/9
Determine c, given that -2/5 + 1/5*c**2 + 1/5*c = 0.
-2, 1
Let v(y) = -63*y**2 + 12*y + 21. Let c(d) = 16*d**2 - 3*d - 5. Let n(a) = -21*c(a) - 5*v(a). Facto