given that 0 - 31/2*a**3 + 9*a + 19/2*a**4 - 3/2*a**2 - 3/2*a**5 = 0.
-2/3, 0, 1, 3
Let k(f) be the second derivative of -125*f**6/12 + 25*f**5 - 25*f**4 + 40*f**3/3 - 4*f**2 - 6*f. What is d in k(d) = 0?
2/5
Let d be (144/(-10))/9 + 4/2. Find y such that -d*y + 0 - 1/5*y**2 = 0.
-2, 0
Find p, given that 6/5*p**2 - 18/5 + 12/5*p = 0.
-3, 1
Let j = -19/6 + 11/3. Solve j + 1/2*c**2 + c = 0.
-1
Suppose -4*v = -8*v. Determine l so that -2/11*l**4 + 2/11*l**2 + v - 2/11*l**3 + 2/11*l = 0.
-1, 0, 1
Let q(u) = u. Let y(t) be the second derivative of -t**4/6 - 2*t**3 - 2*t**2 - 3*t. Let p(a) = 6*q(a) + y(a). Factor p(d).
-2*(d + 1)*(d + 2)
Factor -243/4 - 27/2*g - 3/4*g**2.
-3*(g + 9)**2/4
Suppose 2 = -p + 6. Find u, given that -21*u**2 + 6*u - 16*u**2 + 0*u**4 + 28*u**2 + 3*u**p = 0.
-2, 0, 1
Factor 2*m**5 - 8*m**3 - 2*m**4 - 6*m**2 + 2*m**3 + 8*m**2 + 4*m.
2*m*(m - 2)*(m - 1)*(m + 1)**2
Factor -2/13*f**2 - 2/13 + 4/13*f.
-2*(f - 1)**2/13
Let y(f) be the second derivative of 0 - 5/33*f**3 - 1/231*f**7 - 1/33*f**6 - 1/11*f**2 - 5/33*f**4 - 1/11*f**5 - f. Determine t so that y(t) = 0.
-1
Let c(g) be the third derivative of 1/150*g**5 + 3*g**2 + 0 + 1/60*g**4 + 0*g + 0*g**3. Find w, given that c(w) = 0.
-1, 0
Suppose 3*m = 4*k - 27, 1 + 2 = -4*k - 3*m. Suppose 3 + 3 = k*a. Factor 3 + 0*f**3 - 2 + 3*f**a - 3*f - f**3.
-(f - 1)**3
Suppose -2*s - 2*p = -4, 7*s - 12 = 2*s - 3*p. Let u(x) be the first derivative of 1 + 0*x - 2/21*x**s + 2/7*x**2. Factor u(q).
-2*q*(q - 2)/7
Suppose 29*f = 37 + 21. Let -9*n + 3/2 + 15/2*n**f = 0. Calculate n.
1/5, 1
Suppose -4*u - 5*r = -21 + 6, 5*u = -r + 3. Let q be (0 - u)*1/2. Factor q*j + 0 + 1/3*j**2.
j**2/3
Suppose -8*w + 4*w = -12. Let m(b) be the second derivative of -1/120*b**6 - 1/8*b**2 - 2*b + 1/6*b**w + 1/20*b**5 + 0 - 1/8*b**4. Factor m(i).
-(i - 1)**4/4
Let d(o) be the second derivative of 0 + 1/45*o**6 + 4/9*o**3 + 1/3*o**4 + 2/15*o**5 + 1/3*o**2 - 3*o. Let d(v) = 0. Calculate v.
-1
Let k be 4/2 - (-1 + 3). Let d be k + (4 - -1 - 3). Factor -4/7 + d*m**3 - 2*m + 4/7*m**2.
2*(m - 1)*(m + 1)*(7*m + 2)/7
Let i(a) = a**2 + a - 1. Let k(t) be the third derivative of t**5/10 + 5*t**4/12 - t**2. Let c(l) = -4*i(l) + k(l). Find n such that c(n) = 0.
-2, -1
Suppose -2*y - q = -4*q - 1, -4*q - 2 = -3*y. Factor 2*o**y + 0*o**2 - o**2 + o.
o*(o + 1)
Let j be (5 + -4)*(1 - -12). Let t = j - 9. Find n such that -n**3 - n**t - n**2 + 2*n**2 + 4*n - 3*n = 0.
-1, 0, 1
Let g = -3 - -7. Suppose 0 - 6*b**3 + 4*b - 2*b**g + 0*b**4 + 2*b**3 + 2 = 0. Calculate b.
-1, 1
Factor -2 - 3*k**2 - 2 + 4*k**2.
(k - 2)*(k + 2)
Let p(m) be the first derivative of 5 + 0*m**3 - 1/6*m**4 + 2/15*m**5 + 0*m + 0*m**2. Let p(b) = 0. Calculate b.
0, 1
Factor 2*w**2 + 3*w + w + 0 - 12 - 4.
2*(w - 2)*(w + 4)
Find c such that c**4 + 5/2*c**5 + 1/2*c + 14*c**2 - 15*c**3 - 3 = 0.
-3, -2/5, 1
Suppose 3*b + 3*d = -6, -2*b + 3*d + 24 = -2*d. Suppose 12/7*j - 18/7 - 2/7*j**b = 0. Calculate j.
3
Let g(q) be the third derivative of 1/90*q**5 - q**2 + 1/9*q**4 + 0*q + 1/3*q**3 + 0. Factor g(a).
2*(a + 1)*(a + 3)/3
Let v be (-78)/(-15) + (-12)/(-15). Let m be (-1)/2 - (-7)/v. Suppose -m - 4*b**3 + 8/3*b - 2/3*b**2 = 0. Calculate b.
-1, 1/3, 1/2
Factor 40/3*u + 16/3*u**2 + 32/3 + 2/3*u**3.
2*(u + 2)**2*(u + 4)/3
Let z(y) be the third derivative of -y**6/1440 - y**5/160 - y**4/48 - y**3 - 2*y**2. Let m(w) be the first derivative of z(w). Suppose m(b) = 0. What is b?
-2, -1
Let g(n) = 4*n**2 + 5*n - 5. Let j(h) = -h**2 - h + 1. Let f(m) = -g(m) - 5*j(m). Let f(s) = 0. Calculate s.
0
Let j(l) be the first derivative of 0*l + 0*l**2 + 5 + 1/3*l**3 - 1/12*l**4. Let j(y) = 0. Calculate y.
0, 3
Let d(t) = -t - 1. Suppose 4 - 5 = g. Let q be d(g). Find u such that 2*u**2 - u**2 + q*u**2 - 1 = 0.
-1, 1
Suppose -2*h = -3*x + 1, -1 = 2*x - 2*h + 1. Factor -5*y**3 + 3*y**3 + y**x - y**2 + 0*y**2.
-y**2*(y + 1)
Factor 3*c**3 - 9*c**2 - 8 - 20*c - 6*c**2 + c**3 + 4*c**4 + 3*c**2.
4*(c - 2)*(c + 1)**3
Let x(y) be the second derivative of 1/9*y**3 + y + 0*y**4 + 0 - 1/6*y**2 - 1/30*y**5 + 1/90*y**6. Suppose x(v) = 0. What is v?
-1, 1
Suppose 3*n = -2*n - 60. Let i be (-16)/n - (1 - 0). Solve -2/3*a**2 + 1/3*a**5 + i + 1/3*a - 2/3*a**3 + 1/3*a**4 = 0.
-1, 1
Let i(x) be the first derivative of -x**3/21 + x/7 - 5. Factor i(f).
-(f - 1)*(f + 1)/7
Let m(s) = -3*s**3 - 6*s**2 - s + 10. Let o(u) be the third derivative of -u**6/40 - u**5/10 + 3*u**3/2 + 4*u**2. Let p(j) = -3*m(j) + 4*o(j). Factor p(k).
-3*(k - 1)*(k + 1)*(k + 2)
Factor 0*s + 0*s**2 - 24/5*s**3 - 6/5*s**4 + 0.
-6*s**3*(s + 4)/5
Let n(y) = 42*y - 250. Let r be n(6). Solve 0*t + 2/7*t**r + 0 = 0 for t.
0
Suppose 6*a - 16 = 2*a. Suppose 3*q = 5*x - 0 + 3, -4*x + a*q = 4. Factor -1/3*i**2 + x*i + 0.
-i**2/3
Let f = 144 - 139. Let j(d) be the first derivative of 3/4*d**4 + 0*d**3 - 6/5*d**f + 1/2*d**6 + 0*d**2 + 0*d + 3. Factor j(r).
3*r**3*(r - 1)**2
Let c(v) be the third derivative of 0*v**4 + 0 + 0*v + v**2 - 1/60*v**5 + 1/30*v**7 + 0*v**3 + 1/60*v**6 + 1/84*v**8. Let c(o) = 0. What is o?
-1, 0, 1/4
Solve 2/9*k**4 + 0*k - 4/9*k**3 + 0 + 0*k**2 + 2/9*k**5 = 0 for k.
-2, 0, 1
Suppose -9*n = -14*n + 15. Let d(z) be the first derivative of -2*z + 1 + 3*z**2 + 8/3*z**n. Determine l so that d(l) = 0.
-1, 1/4
Let v(p) be the first derivative of 1/7*p**2 - 2/21*p**3 + 2 + 0*p. Find a such that v(a) = 0.
0, 1
Let a(k) be the first derivative of 3*k**2 - 3 - 8*k + 2/3*k**3. Let t(i) = i - 1. Let m(f) = -a(f) + 10*t(f). Factor m(s).
-2*(s - 1)**2
Solve 57*t**2 - 12*t**5 - 65 + 59 - 3*t - 93*t**3 + 48*t**4 + 9*t**4 = 0.
-1/4, 1, 2
What is f in 1/3*f**2 + 0*f**4 + 0 + 1/6*f**5 - 1/2*f**3 + 0*f = 0?
-2, 0, 1
Let f(h) = h + 1. Let n be f(6). Let m = -69 + 70. Determine v so that -49/4*v**2 - m - n*v = 0.
-2/7
What is k in 19/3*k**2 - 2/3 + 17/3*k = 0?
-1, 2/19
Let b(s) = s**3 - 7*s**2 + 6*s + 6. Let t be b(6). Suppose 3*j - t - 6 = 0. Find p such that j*p**2 + 6*p**5 - 11*p**3 + 5*p**3 + 0*p**2 - 4*p**4 = 0.
-1, 0, 2/3, 1
Let h(w) be the second derivative of -w**6/120 + w**5/90 + w**4/72 + w**2 + 3*w. Let o(n) be the first derivative of h(n). Factor o(m).
-m*(m - 1)*(3*m + 1)/3
Let n = -353 - -355. Determine l so that -4/3 - 2/3*l**n + 2*l = 0.
1, 2
Let l be (2/(-8))/(2/(-16)). Determine f, given that 8 + 8*f + 7*f**2 - 3*f**3 - 9*f**l + f**3 = 0.
-2, -1, 2
Let r(x) be the second derivative of -x**5/75 - x**4/15 + 2*x**3/5 + 3*x**2/2 + 3*x. Let i(b) be the first derivative of r(b). Determine h so that i(h) = 0.
-3, 1
Let u(o) = -6*o - 2*o**3 - 4 + 17*o + 0. Let z(n) = n**3 - 5*n + 2. Let b = 3 - 1. Let m(a) = b*u(a) + 5*z(a). Factor m(g).
(g - 1)**2*(g + 2)
Suppose 0 = -3*h + 2 + 19. Suppose 5 = 4*i - h. Let 7*b**2 + 2*b - i*b**2 + 4*b**4 - b + 6*b**3 + b**5 = 0. What is b?
-1, 0
Factor 6*g**4 + 0*g + 72/7*g**3 + 0 - 24/7*g**2.
6*g**2*(g + 2)*(7*g - 2)/7
Let r(w) = w**2 + 5*w - 2. Let n be r(-7). Suppose n = 2*d + d. Find t such that t - 2/3*t**2 - 2/3*t**3 + t**d - 1/3*t**5 - 1/3 = 0.
-1, 1
Let o = 86 + -53. Let q(n) = 10*n**2 + 18*n**4 - 11*n - 2*n**4 - 4*n**2 - 11. Let k(j) = 3*j**4 + j**2 - 2*j - 2. Let g(p) = o*k(p) - 6*q(p). Factor g(f).
3*f**2*(f - 1)*(f + 1)
Let n(g) = g**2. Let a(s) = s**3 + 9*s**2 - 4. Let h(p) = -a(p) + 6*n(p). Find r, given that h(r) = 0.
-2, 1
Let y = 5 - 2. Find s, given that s**2 - 3*s**5 - 5*s**4 + 6*s**5 - 2*s**3 + 3*s**y = 0.
-1/3, 0, 1
Let m be (6 + 3 + -5)/2. Let -2*u - 4*u**3 + 6*u**m - 2*u - 4*u - 18*u**2 = 0. Calculate u.
-2, -1, 0
What is o in -3/5*o**3 + 21/5*o**2 - 48/5 - 24/5*o = 0?
-1, 4
Let f(q) = -4*q**2 - 2*q. Let m(b) = b**3 - 20*b**2 - 11*b. Let n(k) = -11*f(k) + 2*m(k). Factor n(i).
2*i**2*(i + 2)
Let a(c) = c**3 - 15*c**2 - 17*c + 21. Let z be a(16). Find p, given that -4/7*p**2 - 2/7*p + 0*p**3 + 2/7*p**z + 0 + 4/7*p**4 = 0.
-1, 0, 1
Let l(v) be the third derivative of v**6/60 - v**5/15 - 3*v**2. Factor l(c).
2*c**2*(c - 2)
Let q(i) = 2*i**3 - 22*i**2 - 4*i + 44. Let z be q(11). Determine w so that 0 + 12*w**3 + 25*w**5 + z*w + 8/5*w**2 + 30*w**4 = 0.
-2/5, 0
Let a(j) be the third derivative of 1/2*j**3 + 1/40*j**6 + 0 - 1/8*j**4 - 1/20*j**5 + 0*j + 3*j**2. Factor a(x).
3*(x - 1)**2*(x + 1)
Suppose 3*m = -0*m + 6. Let j(x) be the second derivative of 2*x + 1/12*x**3 - 1/48*x**4 + 