
-2, 2
Suppose -11*n = -23*n + 24. Factor 0 - 2/5*w - 1/5*w**n.
-w*(w + 2)/5
Let t(f) = 37 - 24 + 16*f + 22. Let x be t(-2). Find p, given that 12/11*p**4 + 8/11*p + 24/11*p**2 + 2/11*p**5 + 26/11*p**x + 0 = 0.
-2, -1, 0
Let n be (-4)/6*45/(-6). Factor 6*y + 31 + n*y**2 - 31 - 3*y**2.
2*y*(y + 3)
Let p = -4987/2 + 2494. Factor -p + 0*j + 1/2*j**2.
(j - 1)*(j + 1)/2
Let y be (2 + -3)/(6/830). Let d = 140 + y. Let -1/3*k**2 - 7/3*k**3 - 11/3*k**4 - d*k**5 + 0 + 0*k = 0. What is k?
-1, -1/5, 0
Let h(u) = -6*u - 3. Let q be h(-1). Let p(y) be the first derivative of -15/2*y**q - 21/10*y**5 - 3/4*y**2 - 57/8*y**4 - 2 + 3*y. Factor p(m).
-3*(m + 1)**3*(7*m - 2)/2
Let s(h) be the third derivative of -h**8/10080 + h**6/1080 - h**4/24 - 2*h**2. Let a(j) be the second derivative of s(j). Solve a(w) = 0 for w.
-1, 0, 1
Let g = -143 + 145. Let j(p) be the first derivative of 1/4*p**4 - p**3 - 1/2*p + 7/10*p**5 - 4 + 1/4*p**6 - 5/4*p**g. Factor j(k).
(k - 1)*(k + 1)**3*(3*k + 1)/2
Factor 0 - 12/5*n**3 - 87/5*n**2 - 21/5*n.
-3*n*(n + 7)*(4*n + 1)/5
Let x(o) = 7*o - 8. Let u(r) = -13*r + 16. Let c(y) = -6*u(y) - 11*x(y). Let h be c(10). Factor p**4 + p**2 + 0*p**2 + 3*p - 2*p**4 - p**3 - h*p.
-p*(p - 1)*(p + 1)**2
Let f(t) be the first derivative of -3/2*t**4 + 0*t**3 + 1 + 3*t**2 - 3/5*t**5 + 3*t. Factor f(y).
-3*(y - 1)*(y + 1)**3
Let p(s) be the second derivative of -s**5/210 - s**4/42 + s**3/7 + 6*s**2 + 12*s. Let l(g) be the first derivative of p(g). Determine u, given that l(u) = 0.
-3, 1
Let k(r) = r**2 + 5*r. Let l(u) be the third derivative of -5*u**4/24 - 4*u**2. Let d(g) = 5*k(g) + 4*l(g). Factor d(q).
5*q*(q + 1)
Let r(f) = -f**3 - 2*f - 2. Let j(l) = -l**2 - l - 1. Suppose -w - 2*q = -6*w - 23, 0 = -3*w - 5*q + 11. Let o(m) = w*r(m) + 6*j(m). Factor o(n).
3*n**2*(n - 2)
Let u be 0/((4 - 5)/1). Suppose 2*q - q - 3 = u. Factor 2/9*l + 2/9 - 4/3*l**2 - 22/9*l**4 - 2/3*l**5 - 28/9*l**q.
-2*(l + 1)**4*(3*l - 1)/9
Let o(b) = -b**3 + 6*b**2 - 5*b - 3. Let r be o(4). Factor 3*q**4 - 6 - 9*q**2 + 22*q**2 - 9*q + r*q**3 - 10*q**2.
3*(q - 1)*(q + 1)**2*(q + 2)
Let h be 2*(-1 - (-2)/(-3)*3). Let z(d) = 8*d**2 - 54*d + 450. Let i(y) = -9*y**2 + 53*y - 450. Let n(q) = h*i(q) - 7*z(q). Factor n(k).
-2*(k - 15)**2
Let s = 1392/12863 - 2/677. Let h be (27/2)/((-57)/(-4)). Solve -s*x**2 - h + 12/19*x = 0 for x.
3
Let v(a) be the first derivative of -a**5/10 - 7*a**4/8 - 5*a**3/3 + 367. Factor v(w).
-w**2*(w + 2)*(w + 5)/2
Let d(j) = -j**5 - 2*j - 2. Let u(n) = 5*n**5 + 38*n**4 + 60*n**3 - 140*n**2 - 56*n + 108. Let b(o) = -3*d(o) - u(o). What is x in b(x) = 0?
-17, -3, -1, 1
Find a such that -2/11*a**2 - 20/11*a - 32/11 = 0.
-8, -2
Let z = -25 - -24. Let g be ((0 - -5)*z)/(-1). Factor 2*r**5 + 8*r**4 - 6*r + 4*r - 4*r**2 + g*r**3 + r**3 - 10*r**5.
-2*r*(r - 1)**2*(2*r + 1)**2
Let p(b) be the first derivative of b**6/21 + 36*b**5/7 + 2025*b**4/14 + 124. Find z, given that p(z) = 0.
-45, 0
Suppose -2*k - c + 7 = 0, 37 = 3*k + 2*k - 4*c. Let y be (30/k - 3)*(-2)/(-9). Find r such that y*r**2 + 4/3 + 2*r = 0.
-2, -1
Let r = 411 + -408. Let f(p) be the second derivative of 0 + 0*p**2 - 4*p - 1/18*p**r - 1/36*p**4. Factor f(c).
-c*(c + 1)/3
Determine h so that -22/15*h - 6/5*h**2 + 2/15*h**4 - 2/15*h**3 - 8/15 = 0.
-1, 4
Factor 0 + 4*f**3 - 16/3*f**4 + 0*f**2 - 2/3*f + 2*f**5.
2*f*(f - 1)**3*(3*f + 1)/3
Suppose 41*r = 118 + 5. Let h(i) be the second derivative of 1/6*i**4 + i**2 - 9*i + 0 + 2/3*i**r. Factor h(o).
2*(o + 1)**2
Suppose -10 = -3*l + 17. Find n, given that 4*n**3 + n**4 + l*n**4 - 3*n**4 + 5*n**5 + 5*n**4 = 0.
-2, -2/5, 0
Let c(k) = -18*k**2 - 144*k - 414. Let t(b) = b**2 + 9*b + 26. Let p(w) = 2*c(w) + 33*t(w). Let p(n) = 0. What is n?
-2, 5
Let j(r) = 8*r - 5. Let q be j(-11). Let a = -93 - q. Solve 2/5*w + a + 6/5*w**3 + 8/5*w**2 = 0.
-1, -1/3, 0
Let k be (1328/(-5))/8 + 1/5. Let z be (-4 - 270/k) + -4. Suppose -2/11*t**2 - 2/11*t + 2/11*t**3 + z = 0. Calculate t.
-1, 1
Suppose 879 = -3*h + 4*x + 878, 5*x - 40 = -4*h. Solve -55/2*o**3 + 2*o - 39/2*o**4 + 2 - 25/2*o**2 - 9/2*o**h = 0 for o.
-2, -1, -2/3, 1/3
Let h be 6/4*((-60)/18 - -8). Let v(z) be the second derivative of -1/12*z**4 + 0*z**2 + 1/3*z**3 + 0 + h*z. Solve v(q) = 0 for q.
0, 2
Factor 7/2*n + 3 + 1/2*n**2.
(n + 1)*(n + 6)/2
Suppose 12*b + 24 = 12. Let v(w) = 2*w**3 - 2*w**2 - 3. Let d(o) = 1. Let h = -4 + 1. Let j(i) = b*v(i) + h*d(i). Factor j(x).
-2*x**2*(x - 1)
Let g = -10008 - -170142/17. Factor g*o - 4/17 - 2/17*o**2.
-2*(o - 2)*(o - 1)/17
Let h = -28 - -27. Let f = -1/2 - h. Factor 1/3 - f*c - 1/6*c**4 + 1/2*c**3 - 1/6*c**2.
-(c - 2)*(c - 1)**2*(c + 1)/6
Let j(f) = -14*f**5 + 75*f**4 + 100*f**3 - 11*f - 11. Let r(d) = -3*d**5 + 15*d**4 + 20*d**3 - 2*d - 2. Let g(n) = -2*j(n) + 11*r(n). Factor g(z).
-5*z**3*(z - 4)*(z + 1)
Suppose -9*p**5 - 13*p**5 - 12*p**5 - 15*p**4 + 13*p**5 + 6*p**3 = 0. What is p?
-1, 0, 2/7
Factor -32/7 - 2/7*a**2 + 16/7*a.
-2*(a - 4)**2/7
Let o(w) be the second derivative of -w**5/4 + 40*w**3/3 + 153*w. Let o(j) = 0. What is j?
-4, 0, 4
Let a(b) = -25*b**3 + 201*b**2 - 66*b - 38. Let f(r) = 77*r**3 - 605*r**2 + 197*r + 115. Let u(i) = 7*a(i) + 2*f(i). Solve u(p) = 0.
-2/7, 2/3, 9
Let v(c) be the first derivative of c**6/15 - 28*c**5/25 + 24*c**4/5 - 12*c**3/5 - 81*c**2/5 + 335. Solve v(h) = 0.
-1, 0, 3, 9
Let p(a) be the second derivative of -a**6/105 + 3*a**5/35 + a**4/14 - 16*a**3/21 - 12*a**2/7 - 285*a. Find b such that p(b) = 0.
-1, 2, 6
Let t(s) be the third derivative of s**6/48 + s**5/6 + 5*s**4/16 + 32*s**2. What is o in t(o) = 0?
-3, -1, 0
Let z(a) = a**3 + 6*a**2 + 10. Let q be z(-6). What is f in -5*f**2 + 9*f**4 + q*f - 4*f**4 - 5*f**3 - 5*f**3 = 0?
-1, 0, 1, 2
Let q(o) = -129*o**3 + 210*o**2 - 81*o. Let v(j) = 13*j**3 - 21*j**2 + 8*j. Suppose 2*i - 2 = 2*p - 14, 5*i + 4*p = 6. Let z(x) = i*q(x) - 21*v(x). Factor z(u).
-3*u*(u - 1)*(5*u - 2)
Factor 4*b**4 + 128*b + 16*b**3 + 1433 - 1433 - 112*b**2.
4*b*(b - 2)**2*(b + 8)
Let m(g) = 16*g**4 - 46*g**3 - 2*g**2. Let r(b) be the first derivative of b**4/4 + b**3/3 - 2. Let v(w) = m(w) + 10*r(w). What is a in v(a) = 0?
0, 1/4, 2
Let x(a) be the second derivative of 48*a**4 + 16*a**3 + 2*a**2 - 59*a. Factor x(l).
4*(12*l + 1)**2
Solve -5/2*g**2 - 7 + 17/2*g = 0.
7/5, 2
Factor -12*s**3 - 78 + 45*s - 33*s**2 + 12*s + 66.
-3*(s - 1)*(s + 4)*(4*s - 1)
Suppose 23 = -z + 2*k - k, -2*k + 2 = 0. Let t = z - -156/7. What is i in 0 + 6/7*i**2 + 4/7*i + t*i**3 = 0?
-2, -1, 0
Let n(q) be the first derivative of -2*q**3/3 - 2*q**2 - 3*q + 9. Let f(g) = -2*g**2 - 5*g - 4. Let d(u) = 3*f(u) - 4*n(u). Suppose d(m) = 0. What is m?
-1/2, 0
Suppose 9*h = 8*v + 6*h - 28, -3*v + 5*h + 26 = 0. Factor -1/3 - 1/9*q**v + 4/9*q.
-(q - 3)*(q - 1)/9
Let m = 12323 - 36967/3. Let -1/6*i**3 + 1/6*i**2 - 2/3 + m*i = 0. What is i?
-2, 1, 2
Let z be (1/3 - -3)/(12/18). Let k be z/(-6)*32/80*-3. Let -1/2*n**2 - k - 11/6*n = 0. Calculate n.
-3, -2/3
Suppose -4*u + 0*v = 4*v - 72, -u + 15 = 2*v. Let 3*r**2 - 19*r - u*r + 53*r - 15*r = 0. Calculate r.
0, 2/3
Let i(o) be the second derivative of o**6/40 + 3*o**5/40 + o**4/16 - 72*o. Factor i(g).
3*g**2*(g + 1)**2/4
Let b = -8201/55 - -806/5. Let i = -13/22 + b. Factor -i*x**2 - 35/4*x**3 + 11*x - 2.
-(x + 2)*(5*x - 2)*(7*x - 2)/4
Suppose 0 = -50*w - 36*w + 430. Let 8/3*c**2 - 4/3*c**w + 0*c + 4/3*c**3 + 0 - 8/3*c**4 = 0. What is c?
-2, -1, 0, 1
Let s be 2/14 + (-1 - (-6)/7). Let b(a) be the third derivative of s*a**5 + 0*a - 1/630*a**7 + 0 - 3*a**2 + 0*a**3 - 1/360*a**6 + 0*a**4. Factor b(r).
-r**3*(r + 1)/3
Let l(x) be the third derivative of x**5/210 + 5*x**4/28 + 2*x**3/3 - 211*x**2. Factor l(y).
2*(y + 1)*(y + 14)/7
Suppose 5*p = -2*h + 18, -8 = -4*p - 4*h + 4. Suppose -4*w + 6*z - 8*z = -18, 0 = -4*w + p*z - 12. Factor -4/3*x + 0 + 2/3*x**w.
2*x*(x - 2)/3
Factor 0*m + 2/17*m**5 - 968/17*m**2 + 0 + 36/17*m**4 + 66/17*m**3.
2*m**2*(m - 4)*(m + 11)**2/17
Factor -27*d**2 - 2*d - 9*d - d + 39*d**3.
3*d*(d - 1)*(13*d + 4)
Suppose 6 = -3*o + 2*t + 8, -t - 1 = -5*o. Factor 3/5*f**2 + 1/5*f + 1/5*f**4 + o + 3/5*f**3.
f*(f + 1)**3/5
Let y(o) = o**3 + 4*o**2 - 4*o - 7. Let f be y(-5). Let q be f/20 + (-38)/(-5). Factor 4*a**3 - 10*a + q*a**2 + 8*a**2 - 4*a**3 - 5*a**3.
-5*a*(a - 2)*(a - 1)
Let h