ivative of -7/15*s**5 + 1/6*s**4 + 4 + 7/3*s**3 + 4/3*s - 10/3*s**2. What is u in y(u) = 0?
-2, 2/7, 1
Suppose -2*p + 12 = -5*u + 2*u, 5*u = -10. Let g(z) be the first derivative of -2/3*z**p + 2 + z**2 + 0*z. Factor g(v).
-2*v*(v - 1)
Let m = 27/175 - 2/175. Factor -2/7*q**2 + 0*q + 0 + 1/7*q**5 + 2/7*q**4 - m*q**3.
q**2*(q - 1)*(q + 1)*(q + 2)/7
Let j(n) be the second derivative of 1/90*n**5 + 7/54*n**4 + 0 + 0*n**3 - 1/45*n**6 - 1/189*n**7 - 4/9*n**2 + 3*n. Let j(f) = 0. Calculate f.
-2, -1, 1
Suppose 4*m = -4*q + 4, 4*q + 7*m = 2*m + 4. Let u(k) be the first derivative of -2/9*k**3 + 1/3*k**4 - 2/15*k**5 + q + 0*k**2 + 0*k. Factor u(c).
-2*c**2*(c - 1)**2/3
Let b be (-3)/(-12) - 114/8. Let h be 72/126 - 48/b. Find x such that -9*x**2 - 3/2 + 6*x**3 - 3/2*x**h + 6*x = 0.
1
Let s be 144/285 - 4/38. Determine c, given that -s*c + 4/5 - 4/5*c**2 + 2/5*c**3 = 0.
-1, 1, 2
Let n(j) be the first derivative of -1/12*j**4 + 1/6*j**3 + 3 - 1/20*j**5 + 1/2*j**2 + 3*j. Let d(i) be the first derivative of n(i). Let d(a) = 0. What is a?
-1, 1
Suppose -24 = x - 31. Let y(i) be the third derivative of 1/45*i**5 + 0*i**4 + 0 - i**2 + 1/60*i**6 + 0*i + 1/315*i**x + 0*i**3. Factor y(m).
2*m**2*(m + 1)*(m + 2)/3
Suppose i + 1 = 7. Let f(d) be the third derivative of 0*d**3 + 0 + d**2 + 0*d**4 + 0*d**7 + 0*d**5 + 1/540*d**i + 0*d - 1/1512*d**8. Solve f(m) = 0 for m.
-1, 0, 1
Factor 14*t**3 - 2*t**5 + 14*t**3 - 22*t**3 - 4*t**2.
-2*t**2*(t - 1)**2*(t + 2)
Suppose 0*j + 2/13*j**5 - 8/13*j**3 + 0 + 0*j**4 + 0*j**2 = 0. What is j?
-2, 0, 2
Let z(s) be the second derivative of -s**4/6 - s**3 + 3*s. Solve z(n) = 0 for n.
-3, 0
Let t(z) be the third derivative of -z**8/840 + z**6/75 - 22*z**2. Factor t(d).
-2*d**3*(d - 2)*(d + 2)/5
Let d(w) be the first derivative of -4*w**5/5 - 2*w**4 + 4*w**3 + 16*w**2 + 16*w - 17. Find q, given that d(q) = 0.
-2, -1, 2
Let l be (10/30)/((-16)/18 + 1). Let n(d) be the first derivative of -65/2*d**4 - l + 4/3*d**3 + 4*d**2 - 45*d**5 + 0*d. Factor n(h).
-h*(5*h + 2)**2*(9*h - 2)
Let 3/7*f + 6/7 - 3/7*f**3 - 6/7*f**2 = 0. Calculate f.
-2, -1, 1
Let 1/2*n**3 + 0 - 5/2*n**2 + 3*n = 0. Calculate n.
0, 2, 3
Let a(d) = 104*d**3 - 56*d**2 - 40*d - 8. Let s(p) = 105*p**3 - 55*p**2 - 41*p - 9. Let l(o) = 5*a(o) - 4*s(o). Determine u, given that l(u) = 0.
-1/5, 1
Find s, given that -1/3*s - 1/3*s**2 + 2/3 = 0.
-2, 1
Let m(y) be the second derivative of 1/36*y**3 + 1/252*y**7 + 0*y**2 + 0 + 2*y - 1/60*y**5 + 0*y**6 + 0*y**4. Factor m(j).
j*(j - 1)**2*(j + 1)**2/6
Let p(h) be the third derivative of -h**5/30 + h**4/3 - 4*h**3/3 - 9*h**2. Find m, given that p(m) = 0.
2
Let q = 759 - 759. Solve 0*r + 3/4*r**2 + q = 0 for r.
0
Let f(o) be the third derivative of o**8/560 - o**7/280 - o**6/40 + o**5/8 - o**4/4 - o**3/6 - 3*o**2. Let i(v) be the first derivative of f(v). Factor i(y).
3*(y - 1)**3*(y + 2)
Suppose 2*m - 6 = 0, 0 = -3*p - 3*m + 9 + 15. Factor 0*c**2 + 0 - 8/5*c**3 - 2/5*c**p + 0*c + 8/5*c**4.
-2*c**3*(c - 2)**2/5
Suppose 0 + 4/5*v**2 - 4/5*v**4 - 2/5*v**5 + 2/5*v**3 + 0*v = 0. Calculate v.
-2, -1, 0, 1
Let o(k) be the second derivative of -k**4/48 + k**3/8 - k**2/4 + 13*k. Solve o(w) = 0.
1, 2
Let i(k) be the first derivative of k**8/112 + k**7/70 - k**6/20 - 7*k**2/2 - 3. Let p(o) be the second derivative of i(o). Determine q so that p(q) = 0.
-2, 0, 1
Let i = 23 - 16. Solve 16*o**3 + 33*o**2 + i*o**2 + 2*o + 15*o + 2 = 0.
-2, -1/4
Let z be (-65)/(-15) + -4 + 5/3. Solve -3/4*a + 0 - 3/4*a**z = 0.
-1, 0
Let y(j) be the second derivative of 0 + 7*j + 1/3*j**3 - 1/24*j**4 - j**2. What is d in y(d) = 0?
2
Let c = 61 - 119/2. Find a such that -3/4*a**2 + 3/4*a + c = 0.
-1, 2
Let x(r) be the first derivative of -5*r**6/24 + r**5/4 + 15*r**4/8 + 5*r**3/6 - 25*r**2/8 - 15*r/4 + 52. Determine q, given that x(q) = 0.
-1, 1, 3
Let c(b) = b**3 - 2*b**2 - b + 2. Let p be 9/(-12) - (-10)/(-8). Let g(r) = 3*r**3 - 5*r**2 - 3*r + 5. Let w(h) = p*g(h) + 5*c(h). Solve w(y) = 0.
-1, 0, 1
Let v(p) be the third derivative of 0*p**3 + 0*p + 1/20*p**5 + 1/4*p**4 + 7*p**2 + 0. Solve v(x) = 0 for x.
-2, 0
Let y(r) = 89*r + 3. Let x be y(4). Let v = x + -255. Factor -124*u**4 + 16*u + 6 - 6 + 140*u**3 + v*u**2 + 26*u**4.
-2*u*(u - 2)*(7*u + 2)**2
Suppose 3*z - 2*z = 6. Let f = z + -3. Determine l, given that 4*l**2 - 2*l - 6*l**2 + 2 + l**3 + l**f = 0.
-1, 1
Let f(t) be the first derivative of t**3 - 3*t + 3*t**2 - 2 - 6*t**2 + 3*t**2. Determine g so that f(g) = 0.
-1, 1
Let w(g) = g - 5. Let b be w(6). Let t be (-2 - -3)/(b/5). Factor 1/2*u**2 + 0*u - 3/2*u**3 - 1/2*u**t + 0 + 3/2*u**4.
-u**2*(u - 1)**3/2
Let d(n) be the first derivative of n**6/2 + 24*n**5/5 + 33*n**4/2 + 24*n**3 + 27*n**2/2 + 11. Let d(r) = 0. What is r?
-3, -1, 0
Let a(i) be the third derivative of -i**8/112 + i**7/28 - 3*i**6/80 - i**5/40 + i**4/16 + 19*i**2. Factor a(l).
-3*l*(l - 1)**3*(2*l + 1)/2
Let c(u) be the second derivative of u**7/105 + 2*u**6/15 + 4*u**5/5 + 8*u**4/3 + 16*u**3/3 + 32*u**2/5 + 5*u. Determine f, given that c(f) = 0.
-2
Factor -9*k + 3*k + 2*k**2 + 10*k**4 + 0*k**2 + 2*k + 16*k**3.
2*k*(k + 1)**2*(5*k - 2)
Let s(c) be the third derivative of c**8/112 + 2*c**7/35 + c**6/10 - c**5/10 - 5*c**4/8 - c**3 - 44*c**2. Factor s(k).
3*(k - 1)*(k + 1)**3*(k + 2)
Let r(z) be the third derivative of z**5/240 - 5*z**4/96 + z**3/4 - 18*z**2. Factor r(q).
(q - 3)*(q - 2)/4
Determine v so that 1/5*v**3 - 6/5 - 7/5*v + 0*v**2 = 0.
-2, -1, 3
Let u = -283 - -195. Let g = 179/2 + u. Factor 0 - 1/2*t - 3/2*t**2 - g*t**3 - 1/2*t**4.
-t*(t + 1)**3/2
Let i(d) be the second derivative of 3/25*d**6 + d + 0*d**3 + 0 + 2/15*d**4 + 0*d**2 - 6/25*d**5. Determine s so that i(s) = 0.
0, 2/3
Suppose 34 + 1 = 5*l. Let u = -4 + l. Factor u*k**2 - 4 - k + 5 - 1 - 3*k**3 + k**4.
k*(k - 1)**3
Let w(o) = -o**2 - 6*o + 6. Let h be w(-6). Solve 4*y - h*y**3 - 18*y**3 + 5*y**2 + 14*y**4 + 3*y**2 - 2*y**2 = 0 for y.
-2/7, 0, 1
Let j(r) be the first derivative of -r**4/4 + 2*r**3/3 - 27. Factor j(u).
-u**2*(u - 2)
Let h(z) = -z**2 - 3*z + 1. Let u be (9 + -3)*(-3)/6. Let i(q) = -7. Let k(c) = 1. Let l(d) = -i(d) - 6*k(d). Let r(m) = u*l(m) + h(m). Factor r(v).
-(v + 1)*(v + 2)
Let j(p) = -p**3 - p**2. Let t(q) = -14*q**3 - 18*q**2 + 4*q + 8. Let m(h) = -10*j(h) + t(h). Factor m(r).
-4*(r - 1)*(r + 1)*(r + 2)
Let a be (-8)/4*(-6)/15. Factor -2/5*z**2 + a + 2/5*z.
-2*(z - 2)*(z + 1)/5
Let u(x) = x + 6. Let p be u(-4). Let o(k) = k**2 + 4*k + 4. Let c be (-6)/(-4)*(-3 + 1). Let z(h) = h**2 + 4*h + 4. Let a(q) = c*z(q) + p*o(q). Factor a(f).
-(f + 2)**2
Let r be (36/(-15) - -3)*5. Suppose -3*f**2 + r*f**4 - 3*f**5 - 9*f**3 + 2*f + 6*f**5 + 4*f = 0. Calculate f.
-2, -1, 0, 1
Suppose 2*d - 7*d - 145 = 0. Let n = d + 32. Determine u, given that -16/3 - 14/3*u**n + 52/3*u**2 - 40/3*u = 0.
-2/7, 2
Let q(h) be the second derivative of -1/2*h**2 + 0 + 1/6*h**3 - 1/48*h**4 + h. Factor q(j).
-(j - 2)**2/4
Suppose 0*t - 1/5*t**2 + 4/5 = 0. Calculate t.
-2, 2
Let u(s) = 9*s**5 + 38*s**4 + 7*s**3 + 11*s**2 + 11*s - 11. Let f(q) = -3*q**5 - 13*q**4 - 2*q**3 - 4*q**2 - 4*q + 4. Let t(w) = -11*f(w) - 4*u(w). Factor t(o).
-3*o**3*(o + 1)*(o + 2)
Let h(d) = 3*d**5 - 3*d**4 + 4*d**2 - 2*d - 2. Let y(j) = -13*j**5 + 12*j**4 - 16*j**2 + 9*j + 9. Let c(s) = 18*h(s) + 4*y(s). Solve c(v) = 0.
-1, 0, 2
Let z be ((-8)/(-14))/(((-10)/4)/(-5)). Factor z*m + 8/7 + 2/7*m**2.
2*(m + 2)**2/7
Let d(x) be the first derivative of -x**4/26 + 2*x**3/13 - 2*x**2/13 + 3. Factor d(l).
-2*l*(l - 2)*(l - 1)/13
Let t(v) be the second derivative of 1/5*v**2 + 1/60*v**4 - 1/10*v**3 + 0 - v. Let t(u) = 0. What is u?
1, 2
Let d be (-8)/(-14) + 6/(168/68). Suppose 2/3*i + 2/3*i**2 - 2/3*i**d + 0 - 2/3*i**4 = 0. What is i?
-1, 0, 1
Factor 5*p**5 - 6*p + 65*p**2 - 30*p**3 - 5*p**4 + 0*p**5 - 24*p - 5*p**3.
5*p*(p - 2)*(p - 1)**2*(p + 3)
Let d be 93/54 - 8/36. Factor 9/2*o**2 + d*o**3 + 9/2*o + 3/2.
3*(o + 1)**3/2
Let f(h) be the second derivative of -h**6/240 + h**5/160 + h**4/48 - 59*h. Factor f(q).
-q**2*(q - 2)*(q + 1)/8
Let c be 4/10 - (-2178)/55. Suppose 232 = 3*k - 3*o - 68, 88 = k + 5*o. Solve -4*l + 68*l**4 - c*l**2 + 6*l**3 + 72*l**4 - k*l**5 - 4*l = 0.
-2/7, 0, 1
Let s(l) be the first derivative of -3/2*l**4 + 3*l**2 - 3*l - 4 + 0*l**3 + 3/5*l**5.