 Let c = -3 - -5. Suppose -18 - 24 = -3*f. Let d(n) = c*v(n) + f*h(n). Factor d(b).
2*(b - 1)*(b + 1)*(b + 2)
Suppose -3*b - 6 = 5*v - 0, 5*b = -3*v - 10. Find c such that 0*c**2 + 0 + 1/3*c**4 - 2/3*c**3 + v*c = 0.
0, 2
Let u = 172 + -170. Solve -3/4*m - 1/2 - 1/4*m**u = 0 for m.
-2, -1
Let r(z) = -z**2 + 6*z - 5. Let m be r(4). Let v = -10 + 21/2. Suppose w**2 + 0 + 0*w**m - w**4 - v*w + 1/2*w**5 = 0. Calculate w.
-1, 0, 1
Let l(r) be the second derivative of 3*r**5/140 - r**4/14 + r**3/14 - 15*r. Find s, given that l(s) = 0.
0, 1
Let r(g) be the second derivative of -1/40*g**5 - 1/48*g**4 + 1/12*g**3 + 0*g**2 + 0 + 6*g + 1/120*g**6. Suppose r(p) = 0. What is p?
-1, 0, 1, 2
Let f(r) be the first derivative of -r**4/32 + r**2/16 - 26. Factor f(d).
-d*(d - 1)*(d + 1)/8
Solve 32/11*r + 10/11*r**4 - 18/11*r**2 - 2*r**3 - 8/11 + 6/11*r**5 = 0 for r.
-2, 1/3, 1
Factor 6 + 5*h**2 - 2*h**2 - 18*h + 18.
3*(h - 4)*(h - 2)
Let j(o) = -2 - 2 - 1 + 6 + o. Let c(r) = -r**2 + 5*r + 4. Let g(w) = -c(w) + 4*j(w). Suppose g(a) = 0. What is a?
0, 1
Let h(y) be the third derivative of 0 + 0*y - y**2 - 1/12*y**4 + 0*y**3 - 1/60*y**6 - 1/15*y**5. Suppose h(p) = 0. Calculate p.
-1, 0
Let i(t) = t**2 + 2*t + 1. Let a be i(-2). Let r(n) = n. Let b(c) = -7*c**5 - 23*c**4 - 27*c**3 - 13*c**2 + c. Let l(d) = a*b(d) - 3*r(d). Factor l(z).
-z*(z + 1)**3*(7*z + 2)
Let l(q) = -q**2 + 7*q - 2. Let u be l(6). Suppose 0 = -z - u*z. Factor 0 + z*y - 1/3*y**2.
-y**2/3
Let y be (-96)/(-80)*50/6. Suppose -y + 0 = -5*w. Find x such that -1/6*x**w + 1/3*x - 1/6 = 0.
1
Let p = -177/10 - -541/30. Factor p - 3/2*q - 5/6*q**3 + 2*q**2.
-(q - 1)**2*(5*q - 2)/6
Let f = 99 + -493/5. Suppose 4/5 + 2/5*c - f*c**2 = 0. What is c?
-1, 2
Let z(l) be the first derivative of -l**4/2 + 8*l**3/3 + 11*l**2 + 12*l - 18. Factor z(c).
-2*(c - 6)*(c + 1)**2
Suppose 5 + 7 = 2*j. Determine u so that -j*u + 3*u**4 + u**3 + 11*u**2 - 20*u**2 - u**3 = 0.
-1, 0, 2
Suppose -1/2 - 3/2*o**2 - 3/2*o - 1/2*o**3 = 0. Calculate o.
-1
Find s, given that s - 1/5*s**3 - 3/5 - 1/5*s**2 = 0.
-3, 1
Factor 32/3 + 2/3*y**2 + 16/3*y.
2*(y + 4)**2/3
Let f(q) be the first derivative of -2/35*q**5 + 2/21*q**3 - 3 - 1/7*q**4 + 2/7*q**2 + 0*q. Let f(n) = 0. Calculate n.
-2, -1, 0, 1
Let q(n) be the first derivative of -n**7/84 + n**6/30 - n**5/40 + 4*n - 1. Let p(o) be the first derivative of q(o). What is k in p(k) = 0?
0, 1
Let w be (4/(-10))/(92/8 + -12). Factor -2/5*y - 2/5*y**2 + w.
-2*(y - 1)*(y + 2)/5
Let q(v) be the third derivative of v**9/15120 - v**7/315 - v**5/30 - 8*v**2. Let n(y) be the third derivative of q(y). Factor n(o).
4*o*(o - 2)*(o + 2)
Let c(s) be the first derivative of -5*s**4 - 4 - 15/4*s**5 - 2*s**3 + 4*s + 0*s**2. Let d(t) be the first derivative of c(t). Solve d(i) = 0.
-2/5, 0
Let s be 10 - 10 - 4/(-30). Let g(w) be the first derivative of 1 + 0*w - 1/12*w**4 - s*w**5 + 1/6*w**2 + 2/9*w**3. Factor g(p).
-p*(p - 1)*(p + 1)*(2*p + 1)/3
Let a = -41 + 63. Let f be (4 - 2)*2/a. Determine b, given that 0 + f*b**2 + 2/11*b = 0.
-1, 0
Suppose 14 - 4 = 5*y. Suppose -3*h**3 + 4*h**y + 4*h**2 + 0*h**2 + h**2 = 0. Calculate h.
0, 3
Let z = 1/95 - -278/665. Factor -18/7*i - z*i**2 - 27/7.
-3*(i + 3)**2/7
Suppose 3 = -2*f + 7. Suppose 2 = -s - 4*x + f*x, -16 = -4*s + 4*x. Factor -6*u**3 + 2*u + u**3 + u**s - 4*u**2.
-u*(u + 1)*(5*u - 2)
Let t(l) be the first derivative of 3*l**5/20 + 3*l**4/16 - l**3/4 - 3*l**2/8 + 7. Factor t(y).
3*y*(y - 1)*(y + 1)**2/4
Let g be 3 - 14/8 - 0. Factor 1/2*m**4 - g*m**2 + 1/4*m**3 + 0 + 1/2*m.
m*(m - 1)*(m + 2)*(2*m - 1)/4
Let v be (1/3)/(1/6). Suppose 5*m - 12 = 2*b, -1 + 8 = 3*m - b. Factor v*k + 0*k**2 - 6 + 0*k**2 + m*k**2 + 2.
2*(k - 1)*(k + 2)
Let n = 29 + -26. Suppose -3*f = z - 168, 5*f + 5*z = 2*f + 168. What is x in f*x**3 - 16*x**2 + 52*x**5 + 38*x**5 - 156*x**4 + 32*x**n = 0?
0, 2/5, 2/3
Let r be 2/8*(-240)/50*-1. Determine q so that 4/5 + r*q + 2/5*q**2 = 0.
-2, -1
Factor 4/5*j - 3/5*j**2 + 0 - 1/5*j**3.
-j*(j - 1)*(j + 4)/5
Let h = 3 + -5. Let o = h - -4. Factor o*y**3 - 15 + 15 + 2*y**4.
2*y**3*(y + 1)
What is p in -29*p**3 + 9*p**2 - 4*p**5 + 6*p + 20*p**3 - 21*p**4 - 5*p**5 = 0?
-1, 0, 2/3
Let s(y) be the third derivative of y**11/166320 - y**9/15120 + y**7/2520 + y**5/12 + 3*y**2. Let c(h) be the third derivative of s(h). Factor c(v).
2*v*(v - 1)**2*(v + 1)**2
Let g be (7/(7/2))/(9 - -1). Let d(a) be the first derivative of -4/5*a - 3 - g*a**2 + 2/15*a**3. Factor d(v).
2*(v - 2)*(v + 1)/5
Let c(z) be the third derivative of 0*z - 1/84*z**4 - 4/105*z**5 + 2/21*z**3 + 0 + 2*z**2 - 1/84*z**6. Factor c(x).
-2*(x + 1)**2*(5*x - 2)/7
Let h(w) = 6*w + 2. Let a(f) = -9*f**2 + 1 + f + f**2 + 7*f**2. Let t(c) = 4*a(c) - h(c). Factor t(g).
-2*(g + 1)*(2*g - 1)
Factor -72/13 + 24/13*r - 2/13*r**2.
-2*(r - 6)**2/13
What is s in 5*s**5 + 12*s**3 + 5*s**2 + 3*s**3 + 9*s**4 + 6*s**4 = 0?
-1, 0
Let b(l) = l + 4. Let q be (-4)/2*(6 + -4). Let d be b(q). Determine w so that 5/2*w**4 + 6*w**3 + w + d + 9/2*w**2 = 0.
-1, -2/5, 0
Let o(b) be the first derivative of 0*b**4 - 1 + 0*b + 3/2*b**2 + 0*b**3 - 1/60*b**5. Let l(j) be the second derivative of o(j). Factor l(y).
-y**2
Let h be 8/32 - (-6)/(-40). Let l(x) be the first derivative of 1/15*x**6 + 0*x**2 - h*x**4 + 0*x - 2/25*x**5 + 2/15*x**3 + 2. Find t such that l(t) = 0.
-1, 0, 1
Let w(o) = -o**3 + 3*o**2 - 2. Let g(a) = -2*a**3 + 4*a**2 - 3. Let m(q) = 2*g(q) - 3*w(q). Factor m(c).
-c**2*(c + 1)
Let f be (-14)/6 - 1445/(-510). Factor 0 + f*q**2 - 1/2*q.
q*(q - 1)/2
Let s(l) = l**5 + l**4 + l**3 + l**2 + 1. Let t(g) = -6*g**5 - g**4 - 11*g**3 - g**2 - g - 5. Let h(r) = -15*s(r) - 3*t(r). Factor h(n).
3*n*(n - 1)**4
Factor 2*a**2 + 6 + a + 4*a + 3*a.
2*(a + 1)*(a + 3)
Let d(r) be the first derivative of -1/12*r**3 + 0*r + 1/8*r**2 + 3. Solve d(p) = 0 for p.
0, 1
Let n(y) be the third derivative of 1/9*y**3 + 0*y + 0*y**5 + 1/90*y**6 - 1/315*y**7 - 1/18*y**4 + 0 - 4*y**2. Suppose n(k) = 0. Calculate k.
-1, 1
Suppose 36 = f - 3*f. Let x be 58/18 - (-4)/f. Factor 4 - r + r**x - 4.
r*(r - 1)*(r + 1)
Factor 9/7*c - 15/7*c**2 + 0 + 3/7*c**4 + 3/7*c**3.
3*c*(c - 1)**2*(c + 3)/7
Let i(v) be the third derivative of v**8/112 + v**7/35 - 7*v**6/40 + v**5/5 + 6*v**2. Factor i(u).
3*u**2*(u - 1)**2*(u + 4)
Let h(d) = 4*d**2 + 5*d. Let b(a) = a**2 + a. Suppose 2*o + 14 = -4*n, n + 3*n = o - 17. Suppose o - 3 = -2*g. Let k(w) = g*h(w) - 5*b(w). Factor k(u).
-u**2
Let w(m) = -8*m**4 + 10*m**3 - 2*m**2 + 2. Let f(a) = -a**5 - 40*a**4 + 50*a**3 - 9*a**2 + 11. Let k(p) = 2*f(p) - 11*w(p). Let k(b) = 0. What is b?
0, 1, 2
Factor 0*w**4 - w**5 + 4*w**4 - 2*w**3 - 4*w**4 + 3*w**4.
-w**3*(w - 2)*(w - 1)
Factor 6/5*t**2 + 0 - 4/5*t - 2/5*t**3.
-2*t*(t - 2)*(t - 1)/5
Suppose -4*f = -7 - 13. Let o(s) be the second derivative of 1/105*s**6 + 0 + 3/14*s**4 - 1/14*s**f + 2/7*s**2 - 2*s - 1/3*s**3. Find z such that o(z) = 0.
1, 2
Let g(m) be the first derivative of 1/20*m**5 + 0*m + 2/3*m**3 + 0*m**2 - 1/180*m**6 + 2 - 1/6*m**4. Let r(s) be the third derivative of g(s). Factor r(x).
-2*(x - 2)*(x - 1)
Suppose f - x + 6 = -0*x, -3*f - 2*x + 2 = 0. Let a be 8/10*(-5)/f. Suppose -2*i**4 + 0 + 0*i + i**5 - i + 0 + a*i**2 = 0. What is i?
-1, 0, 1
Let p(d) = d**2 - 1. Let t(n) = -4*n**2 + 4. Let k(v) = -14*p(v) - 3*t(v). Suppose k(u) = 0. What is u?
-1, 1
Factor -32*x + 8*x - 16 - 4*x**3 - 12*x**2 + 2*x**3.
-2*(x + 2)**3
Suppose 0*c**2 - 2/3*c + 2/9*c**3 + 4/9 = 0. Calculate c.
-2, 1
Let u(n) be the first derivative of 2/3*n**3 + 1/5*n**5 + 5/8*n**4 + 0*n + 1/4*n**2 - 2. Suppose u(l) = 0. Calculate l.
-1, -1/2, 0
Suppose 6*o**2 + 4*o**4 - 9*o**3 + 0*o - o**4 + 0*o = 0. What is o?
0, 1, 2
Let y = -316/15 + 112/5. Factor -4/3 - y*m - 1/3*m**2.
-(m + 2)**2/3
Let t(d) be the first derivative of d**5/5 + d**4 + 2*d**3 + 2*d**2 + 5*d + 5. Let k(g) be the first derivative of t(g). Find r such that k(r) = 0.
-1
Let o(b) be the third derivative of 1/240*b**5 - 2*b**2 + 0*b**3 + 0*b + 0 + 1/48*b**4 - 1/60*b**6 + 1/168*b**7. Factor o(z).
z*(z - 1)**2*(5*z + 2)/4
Let c(s) = 5*s**2 + 32*s + 6. Let p(v) = -3*v**2 - 21*v - 4. Let o(q) = -5*c(q) - 8*p(q). Let g be o(8). Find d such that g*d + 2/3*d**2 + 4/3 = 0.
-2, -1
Let q be 3*-1*(-2)/2. Determine y so that q*y**3 - 3*y**2 