t is y?
-1/3
Let u(b) be the second derivative of 25*b**4/36 + 5*b**3/18 - 4*b. Factor u(a).
5*a*(5*a + 1)/3
Let j be (-4)/((16/(-6))/4). Let n(a) be the third derivative of 1/12*a**3 + 1/240*a**j + 0 - a**2 - 1/48*a**4 + 0*a - 1/120*a**5. Factor n(u).
(u - 1)**2*(u + 1)/2
Let n(m) be the first derivative of m**4/12 + 2*m**3/3 + 3*m**2/2 + 12. Factor n(i).
i*(i + 3)**2/3
Find s, given that -15*s**5 + 4 + 34*s**2 + 12*s**2 - 15*s**5 - 38*s**4 + 30*s**3 - 12 = 0.
-1, -2/3, 2/5, 1
Let z be 0 - (7 + -3)*-1. Factor 5 + 2*o - 1 + 2*o**2 - 4*o - z*o.
2*(o - 2)*(o - 1)
Determine s, given that -3*s**4 + 5*s**4 + 2*s**5 + 0*s**4 - 4*s**4 = 0.
0, 1
Let d = -11 + 15. Suppose -5*f = -2*l - 4*f + 25, 0 = 4*l - 5*f - 65. Suppose 3*h**2 + 1 - 3*h + l*h**3 + 7*h**2 + 5*h**d + h**5 + 8*h = 0. Calculate h.
-1
Let b = 26 - 25. Let t(i) be the first derivative of -1/12*i**3 - 1/4*i + b - 1/4*i**2. Factor t(y).
-(y + 1)**2/4
Let i(a) = 11*a**5 + 6*a**4 + 11*a**3 + 8*a**2. Let d(u) = 4*u**5 + 2*u**4 + 4*u**3 + 3*u**2. Let s(j) = -8*d(j) + 3*i(j). Factor s(n).
n**3*(n + 1)**2
Let s(f) be the first derivative of 7*f**3/30 + 4*f**2/5 + 2*f/5 + 12. Factor s(l).
(l + 2)*(7*l + 2)/10
Find h, given that 0*h**4 + 8/3*h - 10/3*h**3 + 2/3*h**5 + 0 + 0*h**2 = 0.
-2, -1, 0, 1, 2
Let n be -2 - (3 - 2) - -8. Let j = n + -1. Factor -4*y**5 + 5*y**j - y**4 - 2*y**4 - 3*y**5.
-y**4*(7*y - 2)
Factor 1/2*g**2 + 2 - 2*g.
(g - 2)**2/2
Let d(g) be the second derivative of -2*g**4 - 5*g**3/3 + 2*g**2 - 2*g. Let m(f) = -f**2. Suppose -4*w + 0*w = 40. Let s(c) = w*m(c) + d(c). Factor s(a).
-2*(a + 1)*(7*a - 2)
Suppose -3*q + 3 = -3. Suppose -3 = -q*d + 1. Determine c, given that -8*c**3 - 6*c**4 - c**2 - c**d + 0*c**3 = 0.
-1, -1/3, 0
Let r = 23/5 - 22/5. Let p(n) be the first derivative of 4/5*n - 2/5*n**4 + 8/25*n**5 - 4/5*n**3 + 1/5*n**6 + r*n**2 - 1. Determine l so that p(l) = 0.
-1, 2/3, 1
Let h(x) be the second derivative of 0 + x**3 + 2/3*x**4 - x**2 + 3*x. Solve h(k) = 0.
-1, 1/4
Find c such that -6/5*c**3 + 0 + 8/5*c**2 - 2/5*c = 0.
0, 1/3, 1
Let f(h) = -39*h**2 + h. Let r(w) be the second derivative of -13*w**4/12 - w. Let b(q) = 6*f(q) - 21*r(q). Let b(o) = 0. What is o?
-2/13, 0
Let q = 13 + -8. Suppose 2*y - 5 - q = 0. Find x, given that -13/5*x**4 - 3*x**3 + 0 - 4/5*x**y - 1/5*x - 7/5*x**2 = 0.
-1, -1/4, 0
Let a(x) be the third derivative of -1/204*x**4 + 1/1020*x**6 - 3*x**2 + 0 + 1/510*x**5 - 1/1785*x**7 + 0*x**3 + 0*x. Determine u, given that a(u) = 0.
-1, 0, 1
Let u = -1279/7 - -183. Let d(v) be the second derivative of u*v**2 - v - 3/70*v**5 + 0 - 1/7*v**3 - 4/21*v**4. Factor d(f).
-2*(f + 1)*(f + 2)*(3*f - 1)/7
Suppose 0 = -0*t - 5*t + 25. Let i(b) be the first derivative of -1/10*b**4 + 0*b - 1/25*b**t + 1/30*b**6 - 1 + 0*b**3 + 0*b**2. Factor i(y).
y**3*(y - 2)*(y + 1)/5
Let o(y) = 26*y**2 - 11*y - 26. Let w(i) = -5*i**2 + 2*i + 5. Suppose -3*d = 5*s - 6*d - 7, -2*d = -3*s + 4. Let k(m) = s*o(m) + 11*w(m). Factor k(u).
-3*(u - 1)*(u + 1)
Let w(r) be the first derivative of -1/3*r**4 - 2/3*r + 0*r**3 + 2/15*r**5 + 2/3*r**2 - 4. Factor w(x).
2*(x - 1)**3*(x + 1)/3
Suppose -x = -3*x + 4. Suppose -d - 14 = -3*i, -5*d = -3*i - i + 37. Suppose 2/7*k**5 + 4/7*k**x - 4/7*k**i + 2/7*k - 2/7 - 2/7*k**4 = 0. Calculate k.
-1, 1
Let k(w) = -4*w**5 + 28*w**4 - 28*w**3 + 4*w**2 + 16*w - 16. Let h(i) = -i**5 + 9*i**4 - 9*i**3 + i**2 + 5*i - 5. Let d(y) = -16*h(y) + 5*k(y). Factor d(g).
-4*g**2*(g - 1)*(g + 1)**2
Let k(g) be the second derivative of g**4/18 - g**3/12 - g**2/12 + 12*g. Factor k(p).
(p - 1)*(4*p + 1)/6
Let z(o) be the third derivative of 0*o**4 + 1/60*o**5 + o**2 + 0*o**3 - 1/60*o**6 + 0 + 0*o - 1/70*o**7. Suppose z(d) = 0. What is d?
-1, 0, 1/3
Suppose -2*b = 3*b. Suppose 0 = -b*j - j + 2. Factor d**2 - d**2 - 4*d**2 - 2*d - j*d**2.
-2*d*(3*d + 1)
Let g(x) be the third derivative of -x**6/120 - x**5/30 + x**4/24 + x**3/3 - 25*x**2. Suppose g(z) = 0. What is z?
-2, -1, 1
Factor -79*d**2 + 3*d + 73*d**2 + 6*d**4 - d**5 - 2*d**5.
-3*d*(d - 1)**3*(d + 1)
Let c be 208/(-564)*20/24. Let s = -4/47 - c. Determine m so that 4/9*m**2 + 0 + 2/9*m + s*m**3 = 0.
-1, 0
Let y = -158/3 - -319/6. Factor -y*t**2 + 0 - t.
-t*(t + 2)/2
Let o(u) be the third derivative of -u**6/960 - u**5/160 + u**4/192 + u**3/16 - 6*u**2. Find b, given that o(b) = 0.
-3, -1, 1
Factor -2*f**5 + 5*f**3 - 3*f**5 + 2*f**3 - 17*f**3 + 15*f**4.
-5*f**3*(f - 2)*(f - 1)
Let s be (1 + -3)*((-38)/(-8) - 5). Determine v, given that 1/6*v**3 + 1/2*v - s*v**2 - 1/6 = 0.
1
Let f(y) be the first derivative of 4*y**3/3 + 4*y**2 + 33. Factor f(p).
4*p*(p + 2)
Let o be (8/16)/(1/4). Let 4*m**o + 8*m**3 - m**3 + m**3 + 4*m**4 = 0. What is m?
-1, 0
Let m(r) be the first derivative of -r**4/22 + 2*r**3/33 + 5*r**2/11 + 6*r/11 - 3. Factor m(g).
-2*(g - 3)*(g + 1)**2/11
Find g such that 0*g**3 + 3*g**2 - 8*g + 2*g + 3*g**3 = 0.
-2, 0, 1
Let t be (1 - 2)/((-3)/12). Let q be ((-10)/(-5))/(6/t). Factor 0*s**2 - 2/3*s**4 + 4/3*s**3 - q*s + 2/3.
-2*(s - 1)**3*(s + 1)/3
Solve 2/3 + 2/3*r - 2/3*r**3 - 2/3*r**2 = 0 for r.
-1, 1
Let m(h) be the third derivative of 0*h + 1/30*h**5 - 1/210*h**7 + 2*h**2 + 0*h**4 - 1/6*h**3 + 0*h**6 + 0. Factor m(l).
-(l - 1)**2*(l + 1)**2
Let d be 5/10 + 6/4. Let h(r) be the first derivative of 1/2*r**d + 1/4*r**4 + r**3 - 2 + 0*r - 3/5*r**5 - 1/3*r**6. Let h(i) = 0. What is i?
-1, -1/2, 0, 1
Suppose -6 = -n + 2*n. Let i be (-4)/(-8) + n/44. Factor 4/11*g + 0*g**2 + 2/11*g**4 - i*g**3 - 2/11.
2*(g - 1)**3*(g + 1)/11
Let o(y) be the third derivative of -y**10/75600 + y**9/15120 - y**8/10080 - y**5/30 - 3*y**2. Let x(j) be the third derivative of o(j). Factor x(z).
-2*z**2*(z - 1)**2
Let b(v) be the third derivative of -v**9/302400 + v**8/50400 - v**5/12 - 3*v**2. Let g(p) be the third derivative of b(p). Factor g(c).
-c**2*(c - 2)/5
Let h(z) be the first derivative of 7*z**8/720 - z**7/90 - z**6/24 + 7*z**5/90 - z**4/18 + z**3/3 - 6. Let v(u) be the third derivative of h(u). Factor v(a).
(a - 1)*(a + 1)*(7*a - 2)**2/3
Let a(v) be the second derivative of v**5/20 + 3*v**4/4 + 9*v**3/2 + 27*v**2/2 - 9*v. What is s in a(s) = 0?
-3
Let g(d) be the second derivative of d**4/60 + 2*d**3/15 - 23*d. Suppose g(a) = 0. Calculate a.
-4, 0
Factor 1/4*l**2 + 0 - 1/4*l**3 + 0*l.
-l**2*(l - 1)/4
Let m(f) be the second derivative of -f**6/10 - 3*f**5/10 - 4*f. Determine x, given that m(x) = 0.
-2, 0
Let v = 3/10501 + 6269076/73507. Let j = v - 85. Find u, given that 0 - j*u**2 + 0*u = 0.
0
Let r(g) be the second derivative of -5*g**4/12 - 5*g**3/2 + 3*g. Factor r(d).
-5*d*(d + 3)
Suppose 3*j + 22 = 2*g, g + j + 0*j - 1 = 0. Let q(d) be the first derivative of 1/7*d**2 - 4/35*d**g - 3/14*d**4 + 0*d + 2 + 0*d**3. Solve q(m) = 0.
-1, 0, 1/2
Let k(w) be the first derivative of w**3/9 - w**2/3 + w/3 - 1. Factor k(f).
(f - 1)**2/3
Let y(f) = f**3 + 4*f**2 - f. Let k be y(-4). Find a such that 3*a**3 + 0*a**3 + 5*a**k + 3*a**3 - 2*a**4 = 0.
-2, 0
Let w(s) = s**3 - 18*s**2 - 19*s - 2. Let a be w(19). Let f be a/((-28)/18*3). Solve 0 + 3/7*l**2 - 3/7*l**3 - 3/7*l**4 + f*l = 0.
-1, 0, 1
Let a(v) be the first derivative of 49*v**6/6 + 14*v**5 - 3*v**4/4 - 20*v**3/3 + 2*v**2 - 6. Suppose a(l) = 0. What is l?
-1, 0, 2/7
Let o(s) be the first derivative of s**4/4 - s**3/3 - 1. Let k(u) = 7*u**4 + u**3 - 10*u**2 + 2*u. Let c(y) = -k(y) + 3*o(y). Factor c(q).
-q*(q - 1)*(q + 1)*(7*q - 2)
Suppose 3*k + 7*f - 2*f - 34 = 0, -k + 6 = -f. Let j be (-9)/6*k/(-6). Factor 0*m - 2/5*m**j + 0.
-2*m**2/5
Let v(w) be the second derivative of w**7/189 + w**6/135 - w**5/30 - 5*w**4/54 - 2*w**3/27 + 17*w. Find y, given that v(y) = 0.
-1, 0, 2
Let d(s) = 5*s - 20. Let h be d(15). Let j be (-2)/6*(-33)/h. Suppose 1/5*o**5 + 0*o + 0 + 0*o**2 + 0*o**3 - j*o**4 = 0. What is o?
0, 1
Let j be (-588)/(-952) + 6/(-51). Find a, given that -3/2 + j*a**2 - a = 0.
-1, 3
Let x(h) = 4*h**5 - 8*h**4 + 2*h**3. Let w(d) = -20*d**5 + 40*d**4 - 11*d**3. Let i(a) = -2*w(a) - 11*x(a). Find m such that i(m) = 0.
0, 2
Let x(r) be the third derivative of 1/180*r**5 + 0 + 0*r**4 + 0*r**3 + 0*r - 3*r**2. Suppose x(u) = 0. Calculate u.
0
Let s(r) be the third derivative of 0 - 2/27*r**3 + 1/540*r**6 + 3*r**2 + 1/135*r**5 + 0*r - 1/108*r**4. Factor s(m).
2*(m - 1)*(m + 1)*(m +