 Factor 0 + 1/2*o**3 + 0*o**n + p*o.
o**3/2
Factor -64/5 + 48/5*d + 1/5*d**3 - 12/5*d**2.
(d - 4)**3/5
Let g(p) be the second derivative of -p**4/72 + p**3/36 - 22*p. Find x, given that g(x) = 0.
0, 1
Suppose -3*m = -7 - 5. Suppose m*r - 3 = c + 2, -5 = 2*r - 3*c. What is k in -2/5 + 1/5*k + 1/5*k**r = 0?
-2, 1
Let o(f) be the third derivative of 3*f**2 + 0 - 1/6*f**4 + 0*f + 1/30*f**5 + 1/3*f**3. Factor o(q).
2*(q - 1)**2
Factor -2/3*j**2 + 0 + 1/3*j**3 + 1/3*j.
j*(j - 1)**2/3
Let u(w) = -w**3 + w**2 - 2*w. Let a(f) = -f**3. Let b(m) = 2*a(m) - u(m). Suppose b(i) = 0. What is i?
-2, 0, 1
Let l be 1*(-21)/(-28)*8/21. Let j be (-5)/(-7)*4/10. Factor l*q**4 + 6/7*q**2 - j*q + 0 - 6/7*q**3.
2*q*(q - 1)**3/7
Let v = -244 - -1224/5. Factor 2/5*h**5 - v*h**2 + 0*h**3 + 4/5*h**4 - 2/5*h + 0.
2*h*(h - 1)*(h + 1)**3/5
Let a be (-2)/(-8) - 10/(-24). Let n be 2*(-3)/(-27) + 8/18. Determine l so that 0 + n*l + a*l**2 = 0.
-1, 0
Let w(f) be the third derivative of 1/36*f**4 + 0 + 1/45*f**5 - 1/9*f**3 + 1/504*f**8 + 0*f - 1/315*f**7 - 2*f**2 - 1/90*f**6. Factor w(g).
2*(g - 1)**3*(g + 1)**2/3
Let s(m) = m**2 + 0*m**3 - m**4 - 5*m**5 - m**3 - 4 - 2*m**3. Let u(n) = n**5 + 4*n**3 - 3*n**3 + 0 + 1. Let z(i) = s(i) + 4*u(i). Let z(x) = 0. What is x?
-1, 0, 1
Let y(s) be the third derivative of -s**6/60 + s**4/12 + 21*s**2. Solve y(c) = 0 for c.
-1, 0, 1
Suppose 0 = -3*t + 5*g + 580, 0*t - 5*t = -5*g - 950. Suppose -5*r - 2*n + 5*n + t = 0, r - 37 = 4*n. Determine h, given that 2*h**2 + r - 37 = 0.
0
Suppose -164 = 9*n - 164. Factor -1/5*j + n - 1/5*j**2.
-j*(j + 1)/5
Let a(k) be the first derivative of -4*k**3/3 - 4. Factor a(n).
-4*n**2
Find g, given that 9 - g + 13*g - 2*g**2 + 5*g**2 + 0*g**2 = 0.
-3, -1
Let q = 18 - -2. Let b be (q/35)/(20/14). Factor 2/5*j**4 - b*j + 4/5*j**3 - 4/5*j**2 - 2/5*j**5 + 2/5.
-2*(j - 1)**3*(j + 1)**2/5
Let c(h) be the third derivative of h**8/70560 - h**7/17640 - h**6/1260 - h**5/15 + h**2. Let j(m) be the third derivative of c(m). Factor j(l).
2*(l - 2)*(l + 1)/7
Let a be 2*(-2*1/8)/(-1). Factor -a - 1/3*c + 1/6*c**2.
(c - 3)*(c + 1)/6
Let l = -28 - -113/4. Let c = -3/8 + 5/8. Solve c*w + 0 - l*w**2 = 0.
0, 1
Let z be 0 + (-3 - (-6 - 0)). Find o such that o**z - 2*o + 2*o**3 + 2*o = 0.
0
Let m = 2521/6315 - -1/1263. Factor m*g + 1/5 + 1/5*g**2.
(g + 1)**2/5
Suppose -3*p - 5*j + 25 = -9, 0 = -3*p + 5*j + 14. Suppose r + r = p. Suppose -r*s**2 + 4*s**3 - 2*s**3 + 2*s**2 = 0. Calculate s.
0, 1
Let u = -1278/103 - -314354/26265. Let v = -2/51 - u. What is r in -v*r**3 + 2/5*r - 2/5*r**2 + 0 + 2/5*r**4 = 0?
-1, 0, 1
Let r(y) be the third derivative of 1/70*y**6 + 0*y**3 - 3/245*y**7 + 0 + 0*y**4 + 1/294*y**8 - 1/210*y**5 + 3*y**2 + 0*y. Solve r(u) = 0 for u.
0, 1/4, 1
Suppose -12 - 2*z**2 + 26*z + 0*z**2 - 11*z - z**2 = 0. What is z?
1, 4
Let q be (-17)/(340/16) + (-68)/(-10). Factor -q*v + 3 + 9/4*v**2.
3*(v - 2)*(3*v - 2)/4
Let m be 1899/7560 + (-2)/8. Let u(v) be the third derivative of 1/30*v**5 + 1/24*v**4 + 0 + 0*v**3 + 1/96*v**6 - 4*v**2 + 0*v + m*v**7. Factor u(f).
f*(f + 1)*(f + 2)**2/4
Let v be (-10 - (0 - 0)) + 0. Let k = -2 - v. Factor -22 + 6*i + k + 3*i**4 + 11 - 6*i**3.
3*(i - 1)**3*(i + 1)
Let m(g) be the first derivative of -28*g**6/3 - 8*g**5 + g**4/2 + 4*g**3/3 - 7. Let m(i) = 0. Calculate i.
-1/2, 0, 2/7
Let u(w) = 14*w**2 + 0*w - 10 + 11*w - 4*w**2. Let l(f) = -f**2 - f + 1. Let a(q) = 22*l(q) + 2*u(q). Find k such that a(k) = 0.
-1, 1
Let c(f) = 3*f**2 + 2*f - 3. Let w(r) = 4*r**2 + 3*r - 4. Let a(d) = 7*c(d) - 6*w(d). Let z(n) = n. Let u(m) = a(m) + 4*z(m). Factor u(x).
-3*(x - 1)*(x + 1)
Find f such that -16*f**2 + 3*f**3 - 10*f**2 - f**2 - 81*f - 81 - 6*f**3 = 0.
-3
Suppose 0 = 5*p - 35 + 15. Factor -4/9*l + 0 + 10/9*l**2 - 8/9*l**3 + 2/9*l**p.
2*l*(l - 2)*(l - 1)**2/9
Let k(j) be the second derivative of j**7/3 + 23*j**6/15 + 27*j**5/10 + 13*j**4/6 + 2*j**3/3 + 6*j. Factor k(h).
2*h*(h + 1)**3*(7*h + 2)
Let a(d) = d**2 - 7*d - 3. Let i be a(8). Let c(p) be the first derivative of 0*p**3 + 0*p - 1/27*p**6 + 0*p**2 - 1/18*p**4 + 4/45*p**i + 3. Factor c(s).
-2*s**3*(s - 1)**2/9
Factor f**3 - 13/4*f**2 + 11/4*f - 1/2.
(f - 2)*(f - 1)*(4*f - 1)/4
Let p = 695/11 - 63. Factor 0*f + 0 + p*f**3 - 2/11*f**2.
2*f**2*(f - 1)/11
Let f be 6/(-15) + 0 + (-78)/(-65). Let -2/5*q**2 + 0 - f*q = 0. What is q?
-2, 0
Let y(v) be the third derivative of -v**6/480 + v**5/240 - v**2. Factor y(u).
-u**2*(u - 1)/4
Let i be 4/(-7) + (-72)/(-28). What is x in -2*x - 50 + i*x**2 + 50 = 0?
0, 1
Suppose 23 = k + 3*y, 0*y - 62 = -2*k - 2*y. Let r be ((-1)/(-2))/(k/42). Let 3/5*z**3 + 0*z - r*z**2 + 3/5*z**4 - 3/5*z**5 + 0 = 0. What is z?
-1, 0, 1
Let u(p) = -p**3 - 3*p**2 - 4*p - 2. Let l be u(-2). Factor -a**5 + 3*a**4 + a**3 - 4*a**4 - a**l + 2*a**4.
-a**2*(a - 1)**2*(a + 1)
Suppose -5*q - 5*c - 35 = 0, -4*c - 5 - 1 = 2*q. Let z = q + 14. Factor -2/11*r**4 + 0*r - 2/11*r**2 + 4/11*r**z + 0.
-2*r**2*(r - 1)**2/11
Let g(b) be the second derivative of -b**4/3 + 2*b**3/3 - 29*b. Factor g(v).
-4*v*(v - 1)
Let i be 8/20 - (-21)/(-15). Let h be i/((1 + -3)/4). Let 29 + 10*d - 2 + 3*d + 5*d + 3*d**h = 0. What is d?
-3
What is g in 9/2*g**3 - 9/2*g + 3/2*g**4 + 6 - 15/2*g**2 = 0?
-4, -1, 1
Let y be (-4)/(2 + (-3 - 1)). Let r(o) = -2*o**3 - 3*o**2 - o. Let n(a) = -a**3 - a**2. Let k(x) = y*n(x) + r(x). Factor k(z).
-z*(z + 1)*(4*z + 1)
Let j(p) be the first derivative of p**6/9 - 8*p**5/15 + 32*p**3/9 - 16*p**2/3 - 49. Factor j(s).
2*s*(s - 2)**3*(s + 2)/3
Let f be -1 - 1/(3/6). Let o be ((-4)/(-16))/(f/(-4)). Determine h so that 0 + o*h + h**3 - h**2 - 1/3*h**4 = 0.
0, 1
Suppose 6*s = s. Let z be (-2)/(-1 - -7)*s. Factor 6/5*y**2 + z + 4/5*y.
2*y*(3*y + 2)/5
Let p(r) be the first derivative of 1 - 3/2*r**2 + 0*r + 0*r**3 + 0*r**4 + 1/60*r**5. Let c(z) be the second derivative of p(z). Factor c(y).
y**2
Let n = 281 - 1403/5. Factor n*b**4 + 18/5*b**2 - 14/5*b + 4/5 - 2*b**3.
2*(b - 2)*(b - 1)**3/5
Let d = 1537/815 + -14/163. Find m, given that -d*m**2 + 0 + 0*m**3 - 6/5*m + 3/5*m**4 = 0.
-1, 0, 2
Solve 24/5*l + 36/5 + 3/5*l**2 = 0.
-6, -2
Let z(r) be the first derivative of -r**3/3 - 7*r**2 - 49*r - 41. Factor z(g).
-(g + 7)**2
Find l such that -76/3*l**3 + 32*l**2 + 16/3 - 35*l**4 - 9*l**5 + 32*l = 0.
-2, -2/3, -2/9, 1
Let s(f) = -f**3 + f + 1. Let p(l) = -4*l**3 + 8*l**2 + 12*l + 8. Let v(g) = -p(g) + 8*s(g). Factor v(q).
-4*q*(q + 1)**2
Let w(k) = k**2 + 4*k - 5. Let f be w(-5). Suppose f = p - 4*p. Factor -10*q**3 + 2*q**2 + 4*q - 2 + p*q + 6*q**3.
-2*(q - 1)*(q + 1)*(2*q - 1)
Let q(o) be the first derivative of 2*o**6/21 - 12*o**5/35 + o**4/7 + 4*o**3/7 - 4*o**2/7 + 5. Suppose q(l) = 0. Calculate l.
-1, 0, 1, 2
Let i(v) be the first derivative of 4/15*v**3 - 4/5*v**4 - 6 + 0*v + 5/6*v**6 + 0*v**2 + 1/5*v**5. Factor i(f).
f**2*(f + 1)*(5*f - 2)**2/5
Let o(u) be the first derivative of -u**6/1620 - u**5/90 - u**4/12 + 7*u**3/3 + 7. Let z(v) be the third derivative of o(v). Factor z(q).
-2*(q + 3)**2/9
Factor -4/9*c + 10/9*c**2 + 2/9*c**4 + 0 - 8/9*c**3.
2*c*(c - 2)*(c - 1)**2/9
Suppose 0 = 4*p + 45 - 25. Let x = 5 + p. Determine a, given that 2/9*a - 2/9*a**2 + x = 0.
0, 1
Let b(l) = -l**3 - 4*l**2 + l - 6. Let o be b(-5). Solve 90*w**3 - o*w + 6*w - 196*w**4 + 16*w**2 + 38*w**5 + 60*w**5 = 0 for w.
-2/7, 0, 2/7, 1
Let k be 12*(-4 - (-100)/16). Let h be (69/k + -3)*-3. Factor 0*a**2 + 0*a**4 + 0 + 2/3*a**5 + 2/3*a - h*a**3.
2*a*(a - 1)**2*(a + 1)**2/3
Let d(t) be the second derivative of t**4/4 - t**3 + 3*t**2/2 + 4*t. Factor d(o).
3*(o - 1)**2
Let z = 15 + -13. Let q be (z - 6) + (7 - 3). Factor 0*d + q - 2/9*d**3 + 0*d**2.
-2*d**3/9
Find m such that 1/2*m**2 + 1/4*m + 0*m**3 - 1/4*m**5 - 1/2*m**4 + 0 = 0.
-1, 0, 1
Let h(i) be the second derivative of i**5/5 - 2*i**4 + 6*i**3 - 5*i. Factor h(t).
4*t*(t - 3)**2
Let u(y) = -y**2 + 5*y - 3. Let l be u(3). Let p(v) be the second derivative of 1/40*v**5 + 0 - 1/12*v**l + 0*v**4 - v + 0*v**2. Find h, given that p(h) = 0.
-1, 0, 1
Let h(a) be the second derivative of 2/27*a**4 + a + 4/135*a**6 + 0 + 1/189*a**7 + 1/27*a**3 + 1/15*a**5 + 0*a**2. Factor h(i).
2*i*(i + 1)**4/9
Let m = -17 + 16. Let w be 2/4*0/m. Factor 0*o**2 + 0*o - 1/5*o**5 + 1/5*o**3 + w*o**4 + 0.
-o**3*(o - 1)*(o + 1)/5
Let o(