g(s) be the first derivative of q*s**2 - 1/3*s - 3 + 1/9*s**3. Factor g(m).
(m - 1)*(m + 1)/3
Let l = 154 - 36959/240. Let o(p) be the third derivative of 0 + 0*p + l*p**6 - 2*p**2 + 0*p**3 - 1/48*p**4 + 0*p**5. Suppose o(v) = 0. What is v?
-1, 0, 1
Let a(p) be the third derivative of -5*p**6/96 - p**5/12 - p**4/24 - p**2. Let a(z) = 0. What is z?
-2/5, 0
Factor -1/3*g**2 + 0 - 2/3*g.
-g*(g + 2)/3
Find t such that 1/5*t**3 + 3/5*t**4 - 2/5*t + 1/5*t**5 - 3/5*t**2 + 0 = 0.
-2, -1, 0, 1
Let h(w) be the first derivative of w**4/2 + 2*w**3 + 3*w**2 + 2*w + 4. Solve h(x) = 0.
-1
Let f = 1 - 2. Let b(y) = 2*y**2 - 8*y + 2. Suppose 0 = -5*o - 15, 2*o = a + 1 - 3. Let m(h) = h. Let x(g) = a*m(g) + f*b(g). Suppose x(d) = 0. What is d?
1
Let s(h) = 5*h**2 + 5*h - 1. Let w(f) = 1. Let m(r) = s(r) + w(r). Suppose m(k) = 0. Calculate k.
-1, 0
Let g = 2 + -4. Let z be 1 + 2 + (g - -1). Factor 0*v + 6*v**z - 2*v + v**3 - 8*v**3 + 3*v**2.
-v*(v - 1)*(7*v - 2)
Suppose -3/2 - 3/2*b + 3/2*b**3 + 3/2*b**2 = 0. Calculate b.
-1, 1
Let f(x) be the second derivative of -x**4/6 - 4*x**3 - 11*x**2 - 50*x. Factor f(p).
-2*(p + 1)*(p + 11)
Let q be ((-336)/294)/((-5)/21). What is m in -4/5*m**2 - q*m - 36/5 = 0?
-3
Let f(z) be the second derivative of z**8/4200 + z**7/1400 - z**5/600 + z**3/2 - z. Let d(p) be the second derivative of f(p). Suppose d(q) = 0. What is q?
-1, 0, 1/2
Suppose 0*h - 2*h = 0. Let w(u) be the first derivative of -1/6*u**4 + 0*u**2 + h*u**3 - 2 - 2/15*u**5 + 0*u. Suppose w(d) = 0. What is d?
-1, 0
Let r(d) be the second derivative of -d**5/120 - d**4/12 - d**3/4 + 5*d. Solve r(y) = 0 for y.
-3, 0
Suppose 4*k = 4*n + 16, 6 + 18 = 4*k + 4*n. Let u(x) be the first derivative of 0*x - 1/12*x**4 + 3 - 1/15*x**k + 2/9*x**3 + 0*x**2. What is r in u(r) = 0?
-2, 0, 1
Let j(v) be the first derivative of v**7/525 - v**6/150 + v**4/30 - v**3/15 + 2*v**2 + 4. Let l(w) be the second derivative of j(w). Solve l(y) = 0 for y.
-1, 1
Let j(k) be the second derivative of -13/30*k**6 + 1/12*k**4 + 4*k + 0*k**2 + 0 + 9/20*k**5 - 1/3*k**3 + 5/42*k**7. Let j(n) = 0. Calculate n.
-2/5, 0, 1
Factor 470*m**2 + 0 - 1 + 2*m + 2 - 469*m**2.
(m + 1)**2
Let z = -11 + 16. Suppose 3*t + 2*f - 8 = t, -z*t + 48 = -2*f. Solve 2*u**3 - 2*u**2 - t*u**2 + 2*u**2 + 8*u = 0.
0, 2
Let s(q) be the second derivative of -2*q**4/27 + q**3/27 + 8*q. Factor s(c).
-2*c*(4*c - 1)/9
Let a(r) = -r**3 - r**2. Let c(o) = -2*o**4 - 3*o**3 - o**2 + 8*o + 8. Let y(x) = -5*a(x) - c(x). Factor y(d).
2*(d - 1)*(d + 1)*(d + 2)**2
Let -8/3*y + 2/3*y**4 + 0 - 10/3*y**3 + 16/3*y**2 = 0. Calculate y.
0, 1, 2
Let k(p) be the third derivative of p**5/60 + p**4/12 - p**3/2 + 5*p**2. Solve k(f) = 0 for f.
-3, 1
Let l = 544 - 542. Solve 0*q**l + 0 - 3/4*q**3 + 0*q - 3/4*q**4 = 0.
-1, 0
Let b(o) = o**3 - o - 7. Let p be b(0). Let n be 0 - (3 + p/1). Factor 0*c - 18/7*c**n - 2/7*c**2 - 12/7*c**3 + 0.
-2*c**2*(3*c + 1)**2/7
Suppose 2/17*v**5 - 4/17*v**4 - 2/17*v + 0*v**3 + 4/17*v**2 + 0 = 0. Calculate v.
-1, 0, 1
Suppose -3 = -22*b + 21*b. Suppose -27 = -5*j + 3*p, p + p - 4 = -4*j. Suppose -2*q**2 + j*q**2 - 4*q**2 + b*q = 0. What is q?
0, 1
Let k(u) be the third derivative of -5*u**2 + 0 + 0*u + 0*u**4 + 2/105*u**5 - 3/245*u**7 - 1/168*u**8 + 0*u**3 + 1/35*u**6. Suppose k(x) = 0. Calculate x.
-2, -2/7, 0, 1
Let u be (-2)/4 - (203/(-70) + 2). Let i(s) be the first derivative of -2/15*s**3 - u*s**2 + 3 - 2/5*s. Factor i(o).
-2*(o + 1)**2/5
Let h(o) = -42*o + 296. Let k be h(7). Determine q, given that 9/2*q**3 - 3*q**4 - 3/2*q**5 - 6*q + 0 + 6*q**k = 0.
-2, 0, 1
Let v(c) be the third derivative of c**5/150 + c**4/20 - 4*c**3/15 + 5*c**2. Factor v(t).
2*(t - 1)*(t + 4)/5
Let v(a) = a**3 + a**2 + 16. Let f be v(0). Let h(w) = -w**2 + w - 4. Let q(u) = 6*u**2 - 6*u + 20. Let r(g) = f*h(g) + 3*q(g). Solve r(y) = 0.
-1, 2
Let t = 41/2 - 20. Determine o, given that -t - 1/4*o**2 + 3/4*o = 0.
1, 2
Let h = 6 + -2. Let m = -3 + h. Find o, given that o**2 + 0 - m + 0 = 0.
-1, 1
Let g be (-3)/1*2/(-3). Find b such that -7*b**g + 12*b**3 - 1 - 11*b**2 + 2*b - 2 - 3*b**4 + 10*b = 0.
1
Let o be 1*(3 - (-512)/(-180)). Let v = 5/9 - o. What is i in 8/5 + 8/5*i + v*i**2 = 0?
-2
Let y(x) be the third derivative of 1/2*x**3 + 0*x + 3*x**2 + 3/20*x**5 + 0 - 3/8*x**4 - 1/40*x**6. Factor y(l).
-3*(l - 1)**3
Let j(y) = -y**3 - 4*y**2 - 4*y. Let d be j(-3). Suppose 0 - 15 = -d*l. Determine t, given that 0*t**4 - 4/3*t**3 + 0 + 0*t**2 + 2/3*t + 2/3*t**l = 0.
-1, 0, 1
Let s be (12/3 + 0)/2. Let j(r) be the second derivative of -s*r + 0*r**2 + 1/40*r**5 - 1/12*r**4 - 1/12*r**3 + 0 + 1/30*r**6. Factor j(o).
o*(o - 1)*(o + 1)*(2*o + 1)/2
Let y be 8 + -8 + 2/4. Suppose -3 = -102*k + 99*k. Factor k - 3/2*s**2 + y*s.
-(s - 1)*(3*s + 2)/2
Let j(s) be the first derivative of -10*s**5/13 + 10*s**4/13 - 8*s**3/39 - 11. Factor j(t).
-2*t**2*(5*t - 2)**2/13
Let y(g) = g + 7. Let t be y(-5). Factor 4*c**3 + c**2 - 6*c**3 - 5*c**t.
-2*c**2*(c + 2)
Let f(n) be the third derivative of 0*n - n**2 - 3/20*n**5 - 1/2*n**3 - 1/2*n**4 + 0. Solve f(k) = 0 for k.
-1, -1/3
Let x = 67097/210 - 639/2. Let g(r) be the third derivative of r**2 + 0*r**3 + 1/12*r**4 + 1/30*r**5 + 0*r + 0 - 1/60*r**6 - x*r**7. Factor g(z).
-2*z*(z - 1)*(z + 1)**2
Let g(y) be the second derivative of y**6/20 + 3*y**5/40 - 3*y**4/8 - y**3/4 + 3*y**2/2 + 8*y. Solve g(p) = 0.
-2, -1, 1
Let z(q) be the second derivative of 1/14*q**5 + 3*q + 0 - 3/14*q**4 - 2/7*q**2 - 1/105*q**6 + 1/3*q**3. Suppose z(v) = 0. What is v?
1, 2
Let t(y) = -2*y**2 + 6*y. Let w(j) = -4*j**2 + 13*j. Let u(d) = 13*t(d) - 6*w(d). Suppose u(q) = 0. Calculate q.
0
Determine k, given that 1905*k + k**2 - 4*k**3 - 1905*k - k**4 + 4*k**5 = 0.
-1, 0, 1/4, 1
Suppose 4*r + 17 = 8*r + x, 0 = 3*r + 3*x - 15. Suppose 2/9*c - 2/9*c**3 - 4/9 - 2/9*c**r + 2/3*c**2 = 0. What is c?
-2, -1, 1
Let -2/9*l**4 + 0 - 2/9*l**3 + 0*l + 4/9*l**2 = 0. Calculate l.
-2, 0, 1
Let q(j) be the first derivative of 14/33*j**3 + 7/11*j**2 + 5 + 4/11*j + 1/11*j**4. Find u such that q(u) = 0.
-2, -1, -1/2
Suppose 3*u + 4*f - 3 = 1, 5*f + 22 = 3*u. Let g(d) be the first derivative of 0*d**3 + 0*d**2 + 0*d + 1 + 1/20*d**5 + 1/16*d**u. What is a in g(a) = 0?
-1, 0
Let i = 9/5 - 1. What is w in 4/5*w - i*w**3 + 6/5*w**4 - 6/5*w**2 + 0 = 0?
-1, 0, 2/3, 1
Suppose 3*a = -2*a - 10. Let p = 4 + a. Factor p - j + 3*j**2 - 6*j + 3*j**2.
(2*j - 1)*(3*j - 2)
Let f be (-39)/(-182)*(-14)/(-4). Let k(p) be the first derivative of 1/5*p**5 + 0*p - 1/2*p**2 - f*p**4 - 2 + p**3. Factor k(d).
d*(d - 1)**3
Suppose -14*s = -26 - 16. Factor -4/9*b**s + 0*b**2 + 4/9*b - 2/9*b**4 + 2/9.
-2*(b - 1)*(b + 1)**3/9
Let y be 6/(-112)*6 + (-16)/(-48). Let c(s) be the third derivative of 0*s**3 + s**2 - 1/735*s**7 + y*s**4 + 1/210*s**5 - 1/420*s**6 + 0 + 0*s. Factor c(m).
-2*m*(m - 1)*(m + 1)**2/7
Let p(g) be the third derivative of g**6/200 - 8*g**2. Determine l, given that p(l) = 0.
0
Determine d, given that -95 + 210 + 2*d**2 - 12*d - 97 = 0.
3
Let w(a) be the first derivative of 5*a**6/2 - 4*a**5 - 25*a**4/3 + 50*a**3/9 + 55*a**2/6 + 10*a/3 - 40. Let w(r) = 0. What is r?
-1, -1/3, 1, 2
Let o = -343/2 + 173. Factor -3/2*j**2 + 3 + o*j.
-3*(j - 2)*(j + 1)/2
Let a(s) be the second derivative of -s**4/24 - 5*s**3/12 - s**2 + 7*s. Factor a(q).
-(q + 1)*(q + 4)/2
Let d = -383/6 - -64. Let k(w) be the second derivative of 0 + 1/3*w**3 + 0*w**2 + d*w**4 - w. Factor k(x).
2*x*(x + 1)
Let w(h) be the third derivative of -h**5/30 - h**4/12 + 9*h**2. Suppose w(i) = 0. Calculate i.
-1, 0
Let i(s) = 4*s + 114. Let q be i(-28). Factor -3/5 + 3/5*f**3 + 3/5*f**q - 3/5*f.
3*(f - 1)*(f + 1)**2/5
Suppose 5*z - 13 = 2. Suppose -5*i - 5 = 0, i - 11 = -z*v + 6*i. Factor -4*w**2 + 2 + v*w**2 + 4*w**2 - 4*w.
2*(w - 1)**2
Let s = -1605 - -8029/5. Determine d, given that 0*d**2 + 2/5*d**4 - s*d**3 + 4/5*d - 2/5 = 0.
-1, 1
Suppose 0 = -3*v - 3*d, -v + 5*d = 3*v - 9. Let w(t) be the first derivative of t**5 + 2*t**5 - 3*t**4 + 3*t**3 - v - t**2 - 2*t**5. Factor w(r).
r*(r - 1)**2*(5*r - 2)
Let o(i) be the first derivative of -2/5*i**3 - 4/5*i + 2/25*i**5 - i**2 + 2 + 1/10*i**4. Suppose o(a) = 0. What is a?
-1, 2
Factor r + 1/3*r**2 - 4/3.
(r - 1)*(r + 4)/3
Let f be (2/28)/(1200/70). Let m(q) be the third deriv