 0
Suppose 5*o - 2 + 72 = 0. Let b be (-99)/(-21) - 4/o. Determine k so that b*k - 2*k - k**2 - 2*k = 0.
0, 1
Factor 2/9*z**2 + 0*z + 0.
2*z**2/9
Let u be (3/4)/((324/(-32))/(-9)). Factor 0 - u*x**2 - 4/3*x.
-2*x*(x + 2)/3
Let n(w) = 6*w**3 + 165*w**2 + 1353*w + 1185. Let x(h) = 3*h**3 + 83*h**2 + 676*h + 592. Let o(l) = 4*n(l) - 9*x(l). Determine y so that o(y) = 0.
-14, -1
Let j(n) be the first derivative of n**4/6 + 10*n**3/9 + 8*n**2/3 + 8*n/3 - 8. Let j(f) = 0. Calculate f.
-2, -1
Let m(q) = -6*q - 3*q**4 - 11 - 6*q**4 + 5 + 6*q**3 + 2*q**2 + 7*q**2. Let h(b) = 1. Let i(d) = -6*h(d) - m(d). Suppose i(v) = 0. What is v?
-1, 0, 2/3, 1
Let s be (4/(-6))/(2/3). Let y be s - -2 - (-12)/(-16). What is o in 0 + 1/4*o**2 - y*o = 0?
0, 1
Let m(p) be the second derivative of -1/2*p**5 + 0 - 1/42*p**7 - 5/6*p**3 - 1/2*p**2 - 1/6*p**6 - 5/6*p**4 + 2*p. Factor m(f).
-(f + 1)**5
Let x(w) be the first derivative of w**6/165 - w**4/22 - 2*w**3/33 - 7*w - 5. Let o(g) be the first derivative of x(g). Let o(a) = 0. Calculate a.
-1, 0, 2
Let w = -3 - 6. Let d = -7 - w. Factor 5 - d*r - 3 - r**2 + 3*r - 2*r.
-(r - 1)*(r + 2)
Let b be 4/(-14) + 6*(-3)/(-14). Let a(x) be the first derivative of -1/2*x**2 + 1/3*x**3 + 0*x + b. Find f such that a(f) = 0.
0, 1
Let a = -3 - -10. Suppose a*i - 2*i = -25. Let t(p) = 11*p**2 - 9*p - 5. Let k(x) = -5*x**2 + 4*x + 2. Let s(o) = i*k(o) - 2*t(o). Factor s(l).
l*(3*l - 2)
Solve 1676/3*z**2 - 328*z**3 + 54 - 336*z + 54*z**4 - 8/3*z**5 = 0 for z.
1/4, 1, 9
Let q(v) be the first derivative of -v**5/210 - v**4/42 + 2*v**2 + 3. Let c(d) be the second derivative of q(d). Factor c(m).
-2*m*(m + 2)/7
Let h(s) = -s. Let j(x) = -3*x**3 - 6*x**2 - 12*x + 6. Let o(n) = -15*h(n) + j(n). Factor o(k).
-3*(k - 1)*(k + 1)*(k + 2)
Let 2/7*z**2 - 2/7*z + 0 = 0. Calculate z.
0, 1
Let m = 925 + -922. Let -2/13*f**m - 4/13 + 6/13*f + 0*f**2 = 0. What is f?
-2, 1
Let r(q) be the first derivative of q**6/180 + q**5/45 + q**4/36 - q**2 - 3. Let v(p) be the second derivative of r(p). Determine s so that v(s) = 0.
-1, 0
Let u = 7 + -3. Factor -3*j**4 + 2*j**2 + 3*j**4 - 2*j**u.
-2*j**2*(j - 1)*(j + 1)
Let q(t) = t**3 - 10*t**2 - 2*t + 22. Let m be q(10). Find c such that -2/9*c**m - 2/9*c + 0 = 0.
-1, 0
Let g(y) = y**2 - 12*y - 7. Let m be g(13). Let l be (-2)/m - (-5)/9. Solve l + 2/9*j**4 - 4/9*j**2 - 2/9*j**5 + 4/9*j**3 - 2/9*j = 0 for j.
-1, 1
Let q(g) be the second derivative of -g**5/70 + g**4/42 + 4*g**3/21 - 4*g**2/7 - 19*g + 1. Suppose q(p) = 0. What is p?
-2, 1, 2
Let l be ((-3)/2)/((-21)/(-35)*-5). Factor 0*u**2 + 3/2*u - 1 - l*u**3.
-(u - 1)**2*(u + 2)/2
Let t = -21281936/33 - -644843. Let s = 193/3 + t. Factor 0 + 2/11*v**2 - s*v**3 - 2/11*v**4 + 2/11*v.
-2*v*(v - 1)*(v + 1)**2/11
Let m(d) be the second derivative of d**5/15 - d**4/2 + 4*d**3/3 + 3*d**2 + d. Let t(u) be the first derivative of m(u). Let t(a) = 0. Calculate a.
1, 2
Factor 2/3*j**2 - 2/3*j**3 + 0*j + 0.
-2*j**2*(j - 1)/3
Let l(d) be the second derivative of d**7/273 + d**6/65 + d**5/65 + 4*d. What is u in l(u) = 0?
-2, -1, 0
Let p(j) be the first derivative of -3 - j**2 + 1/2*j**4 + 0*j - 2/5*j**5 + 2/3*j**3. Factor p(n).
-2*n*(n - 1)**2*(n + 1)
Factor 1/4*n**2 + 0*n + 1/4*n**3 + 0.
n**2*(n + 1)/4
Let q = -75 + 677/9. Determine f so that 2/3*f**2 + 2/9*f**3 + q + 2/3*f = 0.
-1
Let c(o) be the second derivative of 0 - 1/15*o**6 - 1/5*o**5 - 1/6*o**4 + 0*o**3 - 3*o + 0*o**2. Let c(a) = 0. What is a?
-1, 0
Let a(w) be the first derivative of w**3/5 - 6*w**2/5 + 12*w/5 + 8. Factor a(z).
3*(z - 2)**2/5
Let k(r) be the third derivative of r**6/320 + r**5/80 - r**4/64 - r**3/8 - 7*r**2. Suppose k(n) = 0. Calculate n.
-2, -1, 1
Suppose 4 = l + 5. Let g(o) = -o**4 + o**2 - 1. Let y(p) = -14*p**4 - 2*p**3 + 14*p**2 + 2*p - 12. Let h(c) = l*y(c) + 12*g(c). Let h(i) = 0. What is i?
-1, 0, 1
Factor -2/5*g**2 + 0*g + 0.
-2*g**2/5
Let t(n) = 4*n**5 - 8*n**4 - 6*n**3 + 2*n**2 - 4*n - 6. Let r(m) = -8*m**5 + 16*m**4 + 11*m**3 - 5*m**2 + 8*m + 11. Let y(g) = -6*r(g) - 11*t(g). Factor y(c).
4*c*(c - 1)**3*(c + 1)
Let o(l) be the first derivative of 8 + 0*l**2 + 0*l**3 + 0*l + 2*l**4 + 28/5*l**5. Find w such that o(w) = 0.
-2/7, 0
Let p(r) be the third derivative of 5*r**2 + 0*r**5 + 0*r + 0 + 1/600*r**6 - 1/40*r**4 - 1/15*r**3. Factor p(q).
(q - 2)*(q + 1)**2/5
Let n(r) be the third derivative of -19/780*r**6 - 1/2184*r**8 + 0*r + 0 - 4/39*r**3 - 1/195*r**7 - 5/78*r**5 - 4/39*r**4 + 9*r**2. Let n(m) = 0. What is m?
-2, -1
Let y = 378 + -376. Solve 0*h + 0 - 2/3*h**3 - 2*h**y = 0 for h.
-3, 0
Let k = 53 - 95. Let d be 7/k*9*-1. Let -5/2*v**5 - v - 3/2*v**2 + 0 + d*v**4 + 7/2*v**3 = 0. Calculate v.
-1, -2/5, 0, 1
Let s(c) be the first derivative of -1/18*c**4 + 1/60*c**5 + 3 + 1/18*c**3 - c + 0*c**2. Let a(k) be the first derivative of s(k). Factor a(l).
l*(l - 1)**2/3
Let v(j) be the third derivative of 7*j**6/300 - 2*j**5/25 - j**4/15 - 3*j**2. Find b such that v(b) = 0.
-2/7, 0, 2
Let n = -4 + 7. Suppose 0 - 6 = -n*q. Suppose 4/9*c**q + 2/9*c**4 + 0 - 2/3*c**3 + 0*c = 0. What is c?
0, 1, 2
Let z(u) be the second derivative of 0 - 2/3*u**4 - u**2 + 3*u + 3/20*u**5 + 7/6*u**3. Factor z(m).
(m - 1)**2*(3*m - 2)
Suppose -12 = -2*g + 2*s, 4*g - s - 14 = 1. Let z = g + -1. Factor 4 - 3 + 2*o - o**2 + z*o**2.
(o + 1)**2
Let x = 39 + -432. Let r = x - -4333/11. Suppose 20/11*y**2 - 20/11*y**3 - 2/11*y**5 + r*y**4 - 10/11*y + 2/11 = 0. Calculate y.
1
Let m = -76/7 - -698/63. Determine p, given that 0*p**2 + m - 4/9*p - 2/9*p**4 + 4/9*p**3 = 0.
-1, 1
Let q(o) = -o**2 + 6*o - 2. Let l be q(6). Let c be (-9)/((-27)/(-6)) - l. Factor 2/5*u**2 + 4/5*u + c.
2*u*(u + 2)/5
Let f(y) be the first derivative of -y**6/9 + y**4/3 - y**2/3 - 7. Determine a so that f(a) = 0.
-1, 0, 1
Let k(r) = -10*r**4 + 36*r**3 - 39*r**2 + 10*r + 6. Let u(n) = 19*n**4 - 71*n**3 + 78*n**2 - 19*n - 12. Let w(m) = 5*k(m) + 3*u(m). Factor w(v).
(v - 3)*(v - 1)**2*(7*v + 2)
Find u, given that -13*u + 3*u**4 + u**3 - 4*u**3 + 8*u - 6 + 20*u - 9*u**2 = 0.
-2, 1
Let r = -163/15 - -71/5. Determine s, given that -8/3*s**2 - r*s - 2/3 = 0.
-1, -1/4
Let j(a) = a + 7. Let g be j(8). Let b be 10/g - (-8)/6. Let -w**b - 1/3*w**3 - w - 1/3 = 0. Calculate w.
-1
Let q(w) be the first derivative of -2*w**3/3 + 2*w - 3. Determine y so that q(y) = 0.
-1, 1
Let l = 2/149 - -590/447. Suppose 0 + l*g**3 + 0*g - 2/3*g**2 - 2/3*g**4 = 0. Calculate g.
0, 1
Factor 0 + 9*r - 6 - 2*r**2 - r**2.
-3*(r - 2)*(r - 1)
Factor 32*l + 8*l**2 - 2/5*l**5 - 128/5 - 10*l**3 - 4*l**4.
-2*(l - 1)**2*(l + 4)**3/5
Let d(q) be the first derivative of -3*q**5/80 - q**4/16 + q**3/2 + 3*q**2/2 - 9*q + 6. Let r(i) be the first derivative of d(i). Factor r(z).
-3*(z - 2)*(z + 1)*(z + 2)/4
Let d(u) = -4*u + 0*u + 4 + 0*u + 2*u. Let r be d(2). Suppose 2/7*h**2 - 2*h**4 + 8/7*h**5 + 0 + 4/7*h**3 + r*h = 0. Calculate h.
-1/4, 0, 1
Let v(m) be the third derivative of 2*m**7/525 - m**6/50 + m**5/25 - m**4/30 + 42*m**2. Factor v(b).
4*b*(b - 1)**3/5
Let q(u) be the second derivative of 0*u**2 + 1/900*u**6 + 0 + 0*u**4 - u + 0*u**5 + 1/6*u**3. Let t(a) be the second derivative of q(a). Factor t(c).
2*c**2/5
Let v be (-4648)/(-60) + 3/15. Let l = 79 - v. Factor -2/3*z**3 - l*z - 1/3 - 5/3*z**2.
-(z + 1)**2*(2*z + 1)/3
Factor 0*k**3 - 2/5*k**4 + 4/5*k**2 - 2/5 + 0*k.
-2*(k - 1)**2*(k + 1)**2/5
Solve 9/2*v**2 + 3*v + 3/4*v**4 + 3/4 + 3*v**3 = 0 for v.
-1
Suppose 5*i + 0 = -10. Let z be (0/i)/((-5)/5). Factor -2/7*f**2 + z + 2/7*f**3 + 0*f.
2*f**2*(f - 1)/7
Let q(t) = -t**4 - t**3 + t + 1. Let m(x) = -3*x**4 + 22*x**3 - 15*x**2 - 2*x - 2. Let r(z) = m(z) + 2*q(z). Suppose r(j) = 0. What is j?
0, 1, 3
Let g(m) = -2*m - 2. Let f be g(-3). Suppose 4*c + 7 = 5*z, -f*c + 17 = 5*z - 6. Suppose 5 - 2*p - 4*p**2 - 6 + z*p**2 = 0. What is p?
-1
Let v be 1 - (8/(-52) + (-15)/(-13)). Determine d so that -3/4*d**2 + 3/4*d**3 - 3/4*d**5 + 3/4*d**4 + v*d + 0 = 0.
-1, 0, 1
Solve 0*n**4 - 6/7*n - 2/7*n**5 - 4/7*n**2 + 8/7*n**3 + 4/7 = 0.
-2, -1, 1
Let q = -13709/24150 + 11/350. Let b = 3/23 - q. Factor 2/3*a - 2/3*a**2 + 2/3 - b*a**3.
-2*(a - 1)*(a + 1)**2/3
Factor 15/2*u**2 + 3 - 19/2*u.
(3*u - 2)*(5*u - 3)/2
Let o(c) = c**2 + c + 1. Let v(b) = -4*b**2 - 6*b - 5. Let l(m) = 6*o(m) + 2*v(m). Factor l(