be the second derivative of -3*m**5/20 + 3*m**4/8 - m**3/4 - 8*m. Find b such that y(b) = 0.
0, 1/2, 1
Let v be 15/9*(4 + 36/(-10)). What is o in -7/6*o**4 - o**3 + v*o**5 + 7/6*o**2 + 0 + 1/3*o = 0?
-1, -1/4, 0, 1, 2
Let u(d) = 3*d**2 - 16 - d**2 - 3*d - 6*d**2. Let n = 15 - -11. Let b(h) = h**2 + h + 4. Let v(i) = n*b(i) + 6*u(i). Factor v(p).
2*(p + 2)**2
Let r be (27/(-6))/(6/(-8)). Let n be r + -4 - (-2)/(-6). Factor 1/3 + 5/3*w**4 - 10/3*w**3 + 10/3*w**2 - n*w - 1/3*w**5.
-(w - 1)**5/3
Let g(d) = d**4 - 5*d**3 + 5*d**2 - 4*d. Let k(o) = 6*o**4 - 30*o**3 + 31*o**2 - 24*o. Let j(q) = 34*g(q) - 6*k(q). Determine u so that j(u) = 0.
0, 1, 2
Let h(s) be the third derivative of -s**4/12 - s**3 + s**2. Let y be h(-3). Suppose 1/3*v**2 + 1/3*v + y = 0. Calculate v.
-1, 0
Let r be (1 - 4)/(15/(-4)). Let u(f) be the first derivative of -2 + 0*f**4 - f**2 + 0*f + 1/3*f**6 + 4/3*f**3 - r*f**5. Factor u(x).
2*x*(x - 1)**3*(x + 1)
Factor 0*r + 0 - 2/3*r**5 - 2*r**4 - 10/3*r**2 + 6*r**3.
-2*r**2*(r - 1)**2*(r + 5)/3
Suppose -3*k - 2*k = -5*q, 3*q - 16 = -5*k. Factor 0 + f**k + 4*f**3 - 2/3*f + 7/3*f**4.
f*(f + 1)**2*(7*f - 2)/3
Let x(j) be the first derivative of -4/3*j**3 + 4 + 2*j**2 + 0*j. Factor x(v).
-4*v*(v - 1)
Let b(t) = 16*t**4 - 13*t**3 + 5*t**2 + 9*t + 8. Let a(o) = o**4 + o**2 - o. Let u(r) = -22*a(r) + 2*b(r). Suppose u(l) = 0. Calculate l.
-1, -2/5, 2
Let r(t) be the first derivative of t**3/5 + 12*t**2/5 + 36*t/5 + 65. Determine x, given that r(x) = 0.
-6, -2
Let q be ((-6)/5)/(6/(-20)). Suppose 3*x = q + 2. Determine i, given that 0*i - 4/5*i**3 - 2/5*i**4 + 0 - 2/5*i**x = 0.
-1, 0
Factor 3/7*z**2 - 6/7 - 3/7*z.
3*(z - 2)*(z + 1)/7
Find t, given that 6*t**3 - 12*t**3 + 22*t**2 - 31*t**2 - t**4 = 0.
-3, 0
Let n(m) be the third derivative of -m**9/1512 - m**8/420 - m**7/420 - m**3/2 - m**2. Let o(f) be the first derivative of n(f). Let o(t) = 0. What is t?
-1, 0
Let h(i) = 4*i + 12. Let q(j) = j**2 - 5*j - 12. Let w(m) = -3*h(m) - 4*q(m). Let w(x) = 0. What is x?
-1, 3
Let d = 89/18 + -9/2. What is h in d*h + 0 - 14/9*h**2 + 10/9*h**3 = 0?
0, 2/5, 1
Let a be 4/1*(-1)/(-2). Suppose 2*r + 3*r**3 + 0*r - 8*r + 3*r**a = 0. What is r?
-2, 0, 1
Let x(z) be the second derivative of 2*z**6/3 + z**5/4 + 45*z. Determine p so that x(p) = 0.
-1/4, 0
Let l(x) be the second derivative of -x**4/48 + x**3/12 - x**2/8 + 14*x. Factor l(h).
-(h - 1)**2/4
Let r(i) be the third derivative of -i**9/10584 - i**8/5880 + i**7/2940 + i**6/1260 + i**3/3 - i**2. Let u(f) be the first derivative of r(f). Factor u(o).
-2*o**2*(o - 1)*(o + 1)**2/7
Suppose 5*m - 2 - 13 = 0. Suppose 2*f + 2 = m*f. Let 3*l + 3*l + 2*l**f - 4*l = 0. What is l?
-1, 0
Suppose -16 = 9*a - 52. Let h(u) be the second derivative of 1/60*u**5 + 1/6*u**2 - 1/36*u**a + 0 - 1/18*u**3 + 3*u. Solve h(x) = 0.
-1, 1
Suppose 0 = 3*v - 8 + 8. Factor -1/2*o**2 + o**3 + 0*o - 1/2*o**4 + v.
-o**2*(o - 1)**2/2
Let c(q) be the first derivative of 4*q**3/3 + 2*q**2 + 9. Determine v, given that c(v) = 0.
-1, 0
Let d(r) be the third derivative of -1/20*r**5 + 0 + 0*r - 1/4*r**4 - 1/2*r**3 + 4*r**2. Factor d(n).
-3*(n + 1)**2
Let b(k) = 2 - 4*k + 0*k**2 + 2*k + 3*k - k**2. Let w be b(0). Determine q, given that 4*q**2 + 1 + 4*q - 3*q**w + 2*q**2 = 0.
-1, -1/3
Let n(a) be the third derivative of -a**6/6 + 8*a**5/15 - a**4/6 - 4*a**3/3 + 21*a**2. Factor n(c).
-4*(c - 1)**2*(5*c + 2)
Let h be (5 - -3) + (-48)/9. Suppose 2/3*v + 5/3*v**4 - h*v**3 + 0 + 1/3*v**2 = 0. What is v?
-2/5, 0, 1
Let h = -76 - -78. Determine n, given that 0*n**h - 2/3*n**3 + 0 + 0*n = 0.
0
Let f = -5 + 8. Factor -6*p - 2 + 3*p - 5*p + p**f - 5*p**3 - 10*p**2.
-2*(p + 1)**2*(2*p + 1)
Let v(a) be the first derivative of 1/108*a**4 + 0*a - 1/27*a**3 + 1/135*a**5 - 1/2*a**2 - 1. Let f(x) be the second derivative of v(x). Solve f(b) = 0.
-1, 1/2
Let m(a) be the third derivative of a**6/420 - a**5/70 + 4*a**3/21 - 15*a**2. Determine d, given that m(d) = 0.
-1, 2
Find s such that -s + 4 - 4*s**2 - 5*s + 6*s**2 = 0.
1, 2
Let g(n) = 2*n**2 + 3*n + 3. Let l be g(-2). Suppose -1 = -3*z + l. Factor -2*s**3 + 2*s**2 + z*s**3 + 2*s**3.
2*s**2*(s + 1)
Suppose -7*b = -2 + 2. Let n(c) be the second derivative of 1/6*c**4 + b + 1/3*c**3 - c - 2*c**2. Factor n(z).
2*(z - 1)*(z + 2)
Let k be 0 - (-5)/((-15)/(-6)). Let l(c) be the first derivative of c**k - 2/3*c**3 - 1/2*c**4 + 2*c - 1. Determine a so that l(a) = 0.
-1, 1
Suppose 0 = -4*c + 3*c + 2. Factor z**4 - z**5 - z**c + 3*z**3 + 2*z**3 - 4*z**3 + 0*z**3.
-z**2*(z - 1)**2*(z + 1)
Let q(x) = 3*x**4 + 9*x**3 - 3*x**2 - 15*x - 6. Let n(f) = -9*f**4 - 26*f**3 + 10*f**2 + 45*f + 18. Let w(p) = 6*n(p) + 17*q(p). Factor w(l).
-3*(l - 2)*(l + 1)**3
Find d, given that -2/11*d**2 - 2/11*d**3 + 0 + 0*d = 0.
-1, 0
Let n(g) be the first derivative of g**4/5 - 4*g**3/15 - 2*g**2/5 + 4*g/5 + 4. Factor n(w).
4*(w - 1)**2*(w + 1)/5
Let z be 6/(-4)*(-12)/9. Factor -2 - 6 + 5*h**z - 4*h**3 - 2*h**4 + h**2 + 8*h.
-2*(h - 1)**2*(h + 2)**2
Factor 3*r**2 + 20*r + 7*r**4 + 8*r**2 - 20*r**3 - 15 - r**2 - 2*r**4.
5*(r - 3)*(r - 1)**2*(r + 1)
Factor -8*k + 2*k**2 - k**3 - 4*k**2 + 0 - 3*k**2 - 4.
-(k + 1)*(k + 2)**2
Let a(q) be the first derivative of 4/5*q - 3/5*q**2 + 0*q**3 + 1/10*q**4 - 2. Determine w so that a(w) = 0.
-2, 1
Let r be (16/(-180))/(1*(-5)/25). Factor 0 + 0*x + 2/3*x**3 + r*x**2 + 2/9*x**4.
2*x**2*(x + 1)*(x + 2)/9
Let r = -4/159 + -5239/318. Let o = 17 + r. Suppose o*l**3 + 0*l + 0 + 1/2*l**2 = 0. What is l?
-1, 0
Let x(j) = j**2 + 9*j + 12. Let a be x(-10). Let m be 4/a - 160/(-88). Factor -4/3*u**3 - 2*u**m - 1/3 - 1/3*u**4 - 4/3*u.
-(u + 1)**4/3
Let l be (0 + (-10)/(-15))*3. Factor 1/3 + 1/3*i**3 + i**l + i.
(i + 1)**3/3
Let z(u) be the second derivative of -u**6/15 + 5*u**4/6 - 4*u**2 - 16*u. Suppose z(l) = 0. Calculate l.
-2, -1, 1, 2
Let g(d) = d**2 + 9*d + 20. Let w be g(-4). Suppose 0*s**2 - 6/5*s**3 + 3/5*s**5 + w*s**4 + 3/5*s + 0 = 0. Calculate s.
-1, 0, 1
Suppose 5*t - 10 = u, 7*u + 22 = -t + 12*u. Let h(q) be the third derivative of 0 + 1/210*q**5 + 1/21*q**3 + t*q**2 + 0*q + 1/42*q**4. Factor h(r).
2*(r + 1)**2/7
Let n be (-54)/81*(-3)/2*2. Let g(p) be the second derivative of 1/15*p**6 - 1/3*p**3 + 1/10*p**5 + 0*p**n - 4*p - 1/6*p**4 + 0. Factor g(z).
2*z*(z - 1)*(z + 1)**2
Let v(p) = p**3 + 8*p**2 + 7*p. Let h be v(-7). Factor 0*a + h + 6/7*a**3 - 4/7*a**4 - 2/7*a**2.
-2*a**2*(a - 1)*(2*a - 1)/7
Let j(a) = -a + a**2 + a - 2. Let u be j(-2). Factor u*k**2 - 1 + 2 + 1 - 4*k.
2*(k - 1)**2
Suppose -20*a - 8*a**3 + 2*a**3 - 24 + 7*a**3 + 3*a**3 + 8*a**2 = 0. What is a?
-3, -1, 2
Let h(n) be the first derivative of 5*n**4/4 - 10*n**3/3 + 5*n**2/2 + 46. What is k in h(k) = 0?
0, 1
Determine k, given that -4/3 + 2/3*k - 2/3*k**3 + 4/3*k**2 = 0.
-1, 1, 2
Let j(h) be the third derivative of -h**7/168 - h**6/48 - h**5/48 + 12*h**2. Factor j(i).
-5*i**2*(i + 1)**2/4
Let h(q) = 768*q**2 + 280*q + 27. Let k(g) = 256*g**2 + 93*g + 9. Let b(t) = 3*h(t) - 8*k(t). Let b(r) = 0. What is r?
-3/16
Let j(d) = -2*d**4 - 3*d**3 + 5*d**2 + 37*d + 32. Let u(q) = 3*q**3 - q**3 - 28 - 4*q**2 - 36*q + 2*q**4 - 4 + 2*q**3. Let s(k) = 4*j(k) + 5*u(k). Factor s(f).
2*(f - 2)*(f + 2)**3
Suppose 3*q - 7 = -c - 0, 14 = 5*q + 4*c. Let j(a) = -a**2 - 5*a + 84. Let f be j(7). Solve 0*i**q + 0*i - 2/7*i**5 + f - 2/7*i**3 - 4/7*i**4 = 0.
-1, 0
Let k = 13 - 8. Solve 4*l**4 + 5*l**k - l**3 - 7*l**5 - l**3 = 0 for l.
0, 1
Let n = -7 + 12. Suppose -1 = 2*k - n. Factor -4*f**3 - 11/4*f**k - 7/4*f**4 + 0 - 1/2*f.
-f*(f + 1)**2*(7*f + 2)/4
Suppose 3/4*k**3 + 5/4*k**2 - k - 1 = 0. What is k?
-2, -2/3, 1
Let a(d) = 2*d**2 + 2*d - 3. Let o(j) = 6*j**2 + 6*j - 10. Let k(b) = -10*a(b) + 3*o(b). Determine h so that k(h) = 0.
-1, 0
Let s(w) = 51*w**4 - 21*w**3 + 21*w**2 - 21. Let m(x) = -5*x**4 + 2*x**3 - 2*x**2 + 2. Let p(g) = -21*m(g) - 2*s(g). Factor p(k).
3*k**4
Let t be 2/5 + 36/10. Find f such that -12*f + f**2 - t - 3*f**2 - 4 - 10 = 0.
-3
Suppose u - 27 = -5*t, 14 = -2*u + 4*t - 2. Factor -2/3*c**u + 0 + 0*c**3 + 1/3*c + 2/3*c**4 - 1/3*c**5.
-c*(c - 1)**3*(c + 1)/3
Let a(q) be the second derivative of -q**9/1890 + q**8/3360 + q**7/315 - q**6/360 - q**4/6 - 3*q. Let r(z) be the third derivative of a(z). Factor r(g).
-2*g*(g - 1)*(g + 1)*(4*g