2*w, 0 = 4*s - 2*s - 5*w. What is x in s - 1/2*x**3 - x**2 + 0*x = 0?
-2, 0
Suppose -5*o**3 - 20*o**2 + 34*o - 16*o + 7*o = 0. What is o?
-5, 0, 1
Let f(g) be the third derivative of 1/90*g**6 + 2/135*g**5 + 4/945*g**7 + 0 + 1/1512*g**8 + 3*g**2 + 0*g**3 + 0*g + 1/108*g**4. What is d in f(d) = 0?
-1, 0
Suppose 1/3 - 4/3*f**5 + 8/3*f**4 - 1/3*f**3 - 5/3*f**2 + 1/3*f = 0. Calculate f.
-1/2, 1
Let c(w) be the third derivative of -w**5/15 + 2*w**4/3 + 14*w**2. Factor c(a).
-4*a*(a - 4)
Let p(c) be the first derivative of -4*c**2 + 3/2*c**4 - 8/3*c**3 + 6 + 8/5*c**5 + 1/3*c**6 + 0*c. Find d, given that p(d) = 0.
-2, -1, 0, 1
Factor -104*p + 20 + 194*p - 110*p + 5*p**2.
5*(p - 2)**2
Let c = -8 + 2. Let m be 32/(-12)*c/8. Factor 2/3*p**m - 8/3*p + 8/3.
2*(p - 2)**2/3
Let i(m) = m**2 + m - 3. Let l be i(-3). Let t(o) be the first derivative of 1/2*o + 3 + 1/16*o**4 - 3/8*o**2 + 0*o**l. Factor t(u).
(u - 1)**2*(u + 2)/4
Let h be 1*-4 + 0/6. Let f be 5/4 - 3/h. Factor -3 + 5 + 2*n**f + 2 + 6*n.
2*(n + 1)*(n + 2)
Suppose -t + 8 = 31. Let v = 71/3 + t. Determine a, given that -v*a**2 - 1/3*a**3 - 1/3*a + 0 = 0.
-1, 0
Let u(s) be the second derivative of -s**4/42 + 2*s**3/7 - 9*s**2/7 - 6*s. What is w in u(w) = 0?
3
Suppose 3*m = -0*m - 9. Let l(u) = u**2 - 1. Let i(t) = t**3 - t**2 - t + 1. Let h(o) = m*i(o) - 6*l(o). Factor h(d).
-3*(d - 1)*(d + 1)**2
Let a = -8382 + 42137/5. Let s = a + -45. Factor 2/5*c**5 + 0*c**3 + 0 - s*c**4 + 0*c + 0*c**2.
2*c**4*(c - 1)/5
Let c(z) be the third derivative of z**5/30 + z**4/4 - 8*z**2. Factor c(s).
2*s*(s + 3)
What is c in 2/5*c**5 + 12/5 - 2/5*c - 4*c**2 + 8/5*c**4 + 0*c**3 = 0?
-3, -2, -1, 1
Factor -1/2*k + 1/2*k**2 - 1/6*k**3 + 1/6.
-(k - 1)**3/6
Let u(v) = -2*v**2 + 24*v - 70. Let t(c) = -1. Let i(k) = 2*t(k) + u(k). Solve i(f) = 0 for f.
6
Determine w so that -1/4*w**4 - 9/2*w**3 + 3/4 - 17/4*w + 3/4*w**5 + 15/2*w**2 = 0.
-3, 1/3, 1
Suppose 5 = 4*m - 19. Let i(w) = -3*w**4 - 6*w**3 + 9*w**2 - 6*w + 6. Let x(y) = y**3 - y**2 + y - 1. Let t(k) = m*x(k) + i(k). Factor t(p).
-3*p**2*(p - 1)*(p + 1)
Let b(o) = -o**3 + 6*o**2 + 9*o - 7. Let l be b(7). Let f(c) = -c**2 + 7*c. Let n be f(l). Suppose n*s - 4/5*s**3 + 2/5*s**4 + 0 + 2/5*s**2 = 0. What is s?
0, 1
Let y be (4/70)/((-48)/(-28)). Let q(s) be the third derivative of 1/12*s**4 + 0*s + 0 + y*s**5 + 2*s**2 - 2/3*s**3. Solve q(b) = 0.
-2, 1
Let i(c) be the third derivative of -c**6/120 + c**5/60 - 3*c**2. Let b = 3 - 4. Let g(s) = 4*s**3 - 6*s**2 + s + 1. Let j(d) = b*g(d) - 5*i(d). Factor j(q).
(q - 1)*(q + 1)**2
Let o(v) be the third derivative of -v**6/480 - v**5/48 - v**4/24 - v**2. Let o(a) = 0. Calculate a.
-4, -1, 0
Factor 0 - 1/4*p**2 - 1/4*p.
-p*(p + 1)/4
Let u(w) be the third derivative of w**5/180 - w**4/12 + w**3/2 - 5*w**2. Factor u(i).
(i - 3)**2/3
Let r be (4/6)/(105/126). Suppose 18/5*y + r + 14/5*y**2 = 0. Calculate y.
-1, -2/7
Let a = -115 - -117. Factor -1/3*r**a + 0 + 2/3*r.
-r*(r - 2)/3
Suppose 8*c - 7*c = 0. Let m(u) be the third derivative of 1/120*u**5 + c*u**3 - 2*u**2 - 1/420*u**7 - 1/240*u**6 + 1/672*u**8 + 0*u**4 + 0 + 0*u. Factor m(j).
j**2*(j - 1)**2*(j + 1)/2
Let a(u) be the second derivative of 2*u + 0 - 1/12*u**4 + 0*u**3 + 0*u**2. Factor a(c).
-c**2
Let h be (-4)/((-3 - 3) + 4). Let y(p) be the first derivative of 1/3*p**3 - 2 + 2/3*p - 7/6*p**h. What is s in y(s) = 0?
1/3, 2
Let o(q) be the second derivative of q**4/6 + 3*q**3 + 8*q**2 - 19*q. Find u such that o(u) = 0.
-8, -1
Let j be -1 + -2 - (-45)/21. Let k = j + 32/21. Suppose -2/3*y**2 + 0*y + 0 + 2/3*y**3 - k*y**5 + 2/3*y**4 = 0. What is y?
-1, 0, 1
Let t be ((-3)/(-4))/(18/12). Let u(j) be the first derivative of t*j**2 + 0*j - 1/9*j**3 + 2. Suppose u(q) = 0. What is q?
0, 3
Let -12/7*t**3 + 26/7*t**2 + 8/7 - 24/7*t + 2/7*t**4 = 0. What is t?
1, 2
Let t(b) = -2*b**2 - 6*b + 8. Let k(z) = -3*z**2 - 6*z + 7. Let q(v) = -6*k(v) + 5*t(v). Let q(l) = 0. Calculate l.
-1, 1/4
Let q = -53 + 107/2. Suppose -4*z**3 + 0 + 3*z**5 + z - 1/2*z**4 + q*z**2 = 0. What is z?
-1, -1/2, 0, 2/3, 1
Let y(f) be the third derivative of -f**8/2880 + f**7/420 + f**6/180 - f**5/20 - 3*f**2. Let t(i) be the third derivative of y(i). Factor t(a).
-(a - 2)*(7*a + 2)
Let i be (90/(-50))/((-3)/5). Let v be i/(3 - (4 + -2)). Suppose -2/3 + 2/3*p**v - 2*p**2 + 2*p = 0. Calculate p.
1
Let g be 8/(-2) + 2 - -18. Let j = 18 - g. Factor 9/4*a - 1/2 + 3/4*a**3 - 5/2*a**j.
(a - 2)*(a - 1)*(3*a - 1)/4
Suppose -3*t + 2*t = -5*i - 5, 14 = 3*i - 4*t. Let y be 0/(8/4) - i. Factor 2/5*v**y + 0*v + 0.
2*v**2/5
Let c(q) be the first derivative of -5*q**4/8 + 15*q**2/4 - 5*q - 24. Factor c(i).
-5*(i - 1)**2*(i + 2)/2
Let y be 15/28 + (-18)/63. Let f(p) be the first derivative of 1/8*p**4 - 2 + 0*p - y*p**2 + 0*p**3. Solve f(i) = 0.
-1, 0, 1
Factor 0 - 1/4*p**2 - 1/2*p.
-p*(p + 2)/4
Let s = 7 - 8. Let f(o) = -5*o**3 + 6*o**2 - 3*o - 4. Let k(x) = x**3 - x**2 + 1. Let g(p) = s*f(p) - 6*k(p). Factor g(c).
-(c - 1)**2*(c + 2)
Let l(v) be the second derivative of -3*v**6/5 - 5*v**5/2 - 7*v**4/2 - v**3 + 2*v**2 - 11*v. Factor l(c).
-2*(c + 1)**3*(9*c - 2)
Let x(m) be the third derivative of m**6/200 + m**5/100 - m**4/20 + 9*m**2. Suppose x(n) = 0. What is n?
-2, 0, 1
Let n = 84 + -84. Let -6/11*g**3 + n + 0*g - 2/11*g**4 - 4/11*g**2 = 0. What is g?
-2, -1, 0
Suppose -2/7*m - 2/7*m**3 - 4/7*m**2 + 0 = 0. Calculate m.
-1, 0
Let m(q) be the third derivative of -q**7/315 - q**6/45 - q**5/30 + 11*q**2. What is g in m(g) = 0?
-3, -1, 0
Let m = 148916665/228 - 653141. Let j = -1/57 + m. What is g in -3/2*g**3 + 0*g + j*g**4 + 0 - 3/4*g**2 = 0?
-1/3, 0, 1
Let v be 7 + 15/(-5) - 0. Factor 0 + 2/7*x**3 + 2/7*x**2 - 2/7*x**5 - 2/7*x**v + 0*x.
-2*x**2*(x - 1)*(x + 1)**2/7
Let x(r) be the third derivative of -r**7/525 + r**6/75 - r**5/30 + r**4/30 - 10*r**2. Suppose x(f) = 0. What is f?
0, 1, 2
Let d be 4 + 2 - (6 + -2). Suppose -8*a = -d*a. Factor -1/2*h**5 + h**3 - 1/2*h + a*h**4 + 0 + 0*h**2.
-h*(h - 1)**2*(h + 1)**2/2
Let a = 10 - 5. Let r(x) = -x**2 + 5*x + 5. Let d be r(a). Suppose 0 - 2*u**d + 18/7*u**2 - 18/7*u**4 + 4/7*u + 10/7*u**3 = 0. Calculate u.
-1, -2/7, 0, 1
Let n(a) = -2*a**3 - 26*a**2 - 3*a - 39. Let r be n(-13). Find t such that 0*t - t**5 - 1/4*t**3 + r*t**2 - t**4 + 0 = 0.
-1/2, 0
Let v(z) be the second derivative of z**7/2100 - z**6/225 + z**5/100 - 2*z**3/3 - 3*z. Let i(k) be the second derivative of v(k). Factor i(q).
2*q*(q - 3)*(q - 1)/5
Find q, given that 2*q**3 + 2*q**3 + q**5 - 3*q**3 + 3*q**2 - 3*q**4 - 2*q = 0.
-1, 0, 1, 2
Let w(a) be the third derivative of a**6/360 - a**5/60 + 20*a**2. Factor w(y).
y**2*(y - 3)/3
Let z(r) be the second derivative of -r**7/56 - 3*r**6/40 - 3*r**5/80 + 3*r**4/16 + r**3/4 - 10*r. Let z(s) = 0. Calculate s.
-2, -1, 0, 1
Let p(c) be the second derivative of -c**7/21 + 4*c**6/15 - 3*c**5/5 + 2*c**4/3 - c**3/3 - 14*c. Let p(u) = 0. What is u?
0, 1
Suppose 100 = -3*d - 2*d. Let k be ((-8)/(-30))/((-4)/d). Solve -k + 2/3*f**2 + 2/3*f = 0.
-2, 1
Let a(k) be the first derivative of k**6/4 + 6*k**5/5 + 3*k**4/8 - 5*k**3 - 3*k**2 + 12*k - 46. Factor a(o).
3*(o - 1)**2*(o + 2)**3/2
Let h = -829/5 + 166. Factor -2/5*r + 1/5 + h*r**2.
(r - 1)**2/5
Solve 24 - 152*m**2 - 116*m - 192*m**3 + 312*m**2 - 10*m**5 + 80*m**4 + 56*m**2 - 2*m**5 = 0.
2/3, 1, 3
Let v be (-5)/(((-175)/(-10))/(-7)). Let m(w) be the second derivative of 1/18*w**3 + 0 + 0*w**v - 1/36*w**4 - w. Let m(k) = 0. Calculate k.
0, 1
Let t(x) = 21*x**3 - 5*x**2 - 17*x + 1. Let o(y) = -64*y**3 + 16*y**2 + 52*y - 4. Let z(v) = 5*o(v) + 16*t(v). Suppose z(u) = 0. Calculate u.
-1/2, 1
Let r(p) be the second derivative of p**7/21 - 2*p**6/15 + 22*p - 2. Factor r(c).
2*c**4*(c - 2)
Let t = 292 + -4378/15. Let b(x) be the first derivative of 0*x - t*x**3 + 1/10*x**4 + 3 + 0*x**2. Determine c so that b(c) = 0.
0, 1
Factor -6/7*i - 36/7 + 6/7*i**2.
6*(i - 3)*(i + 2)/7
Let n = 1 - -1. Let n*p - 16*p**2 - 1 + 3*p + 3*p = 0. Calculate p.
1/4
Let n(c) be the third derivative of c**6/8 - 17*c**5/20 + 2*c**4 - 2*c**3 + 6*c**2. Suppose n(b) = 0. Calculate b.
2/5, 1, 2
Suppose 5*a = 4*q + 2, -5*q - a + 4 = -4*a. Let f(u) = -u**3 + 6*u**2 + 7*u + 6. Let g be f(7). Suppose -4*v**q - v**2 + g*v**2 = 0. Calculate v.
0
Let w(m) be the third deri