5*u + 10*u**2 - f*u**4 = 0. What is u?
-1, 0, 1
Factor 6/11 + 12/11*j**3 + 2/11*j**4 + 24/11*j**2 + 20/11*j.
2*(j + 1)**3*(j + 3)/11
Let o(h) be the second derivative of h**4/6 + 25*h**3/6 + 7*h**2 - 35*h. Let x be o(-12). Determine p, given that -1/5 + 1/5*p**x + 0*p = 0.
-1, 1
Let h(l) be the first derivative of 2*l**5/5 - l**4/2 - l**3/3 - 12*l - 20. Let p(u) be the first derivative of h(u). Factor p(j).
2*j*(j - 1)*(4*j + 1)
Factor 0 + 2/9*p**3 - 2/9*p**5 + 0*p - 2/9*p**4 + 2/9*p**2.
-2*p**2*(p - 1)*(p + 1)**2/9
Let x be (0 - -16) + -2 + 0. Let a = x + -10. Determine d so that -4*d**4 - 2*d**3 + 7*d**3 + 1 - a*d**2 - 5*d + 3*d**2 + 4*d**2 = 0.
-1, 1/4, 1
Let f(p) be the second derivative of -1/30*p**5 - 1/18*p**4 + 1/3*p**2 - 16*p + 1/9*p**3 + 0. Factor f(z).
-2*(z - 1)*(z + 1)**2/3
Suppose 3*z - 213*j - 16 = -211*j, 5*z - 2*j = 20. Find t, given that 0*t - 4/3*t**2 - 2/3*t**4 - z*t**3 + 0 = 0.
-2, -1, 0
Let w(l) be the second derivative of -2*l**6/105 - 3*l**5/35 - 2*l**4/21 + 75*l. Factor w(k).
-4*k**2*(k + 1)*(k + 2)/7
Let p = 1460 - 5837/4. Factor 1/4*o**4 + 0 - p*o**2 - 1/2*o + 0*o**3.
o*(o - 2)*(o + 1)**2/4
Let h(l) be the first derivative of -2 - 1/22*l**4 + 10/33*l**3 + 6/11*l - 7/11*l**2. Determine a, given that h(a) = 0.
1, 3
Find r such that -194/5*r**3 + 288/5*r**2 + 0 - 128/5*r + 36/5*r**4 - 2/5*r**5 = 0.
0, 1, 8
Let p(l) be the third derivative of 625*l**8/336 + 775*l**7/21 + 210*l**6 - 288*l**5 - 5760*l**4 + 42*l**2. Factor p(d).
5*d*(d - 2)*(5*d + 24)**3
Let p(k) be the first derivative of -3*k**5/5 + 3*k**4/4 + k**3 - 3*k**2/2 + 29. Factor p(m).
-3*m*(m - 1)**2*(m + 1)
Let h(s) = -s**3 - s**2 + s + 1. Let q(o) = 5*o**5 + 4*o - 3*o + 20 - o**2 - 21*o**3 - 19. Let c(f) = h(f) - q(f). Let c(u) = 0. What is u?
-2, 0, 2
Let o(q) = -17*q**2 - 7*q - 21. Let g be o(-3). Let k = 158 + g. Factor 2/3*p**2 + p**3 + 1/6*p**k + 0 + 1/6*p + 2/3*p**4.
p*(p + 1)**4/6
Factor 16/7*t**2 + 33/7 - 1/7*t**4 + 10/7*t**3 - 58/7*t.
-(t - 11)*(t - 1)**2*(t + 3)/7
Let u(d) be the first derivative of d**5/30 + d**4/8 - 5*d**3/18 - d**2/4 + 2*d/3 - 451. Factor u(o).
(o - 1)**2*(o + 1)*(o + 4)/6
Let v(d) be the third derivative of -81*d**6/40 + 9*d**5 - 25*d**4/2 + 13*d**2 + 1. Suppose v(o) = 0. Calculate o.
0, 10/9
Let g(n) = -n**2 - 4*n + 8. Let t be g(-5). Let b(a) = -3*a**2 + 12*a - 9. Let c(i) = 3*i**2 - 12*i + 9. Let y(r) = t*c(r) + 4*b(r). Solve y(d) = 0 for d.
1, 3
Let i(n) be the second derivative of -1/6*n**3 + 0 + 0*n**2 - 1/12*n**4 + 13*n. Let i(b) = 0. Calculate b.
-1, 0
Let q(p) be the second derivative of -3*p**5/4 - 5*p**4/3 + 25*p**3/6 + 45*p**2 + 24*p. Let m(z) = z**3 - z. Let w(b) = -10*m(b) - q(b). Factor w(r).
5*(r - 2)*(r + 3)**2
Let t = 475/948 - 1/948. Factor 0*a**3 + t*a**4 - 1/2*a**2 + 0 + 0*a.
a**2*(a - 1)*(a + 1)/2
Let u be (-29449)/(-14700) - (0 - -2). Let y(r) be the third derivative of u*r**5 + 1/20*r**4 - 5*r**2 + 3/10*r**3 + 0*r + 0. Solve y(j) = 0.
-3
Let y(a) be the third derivative of -a**8/23520 + a**7/8820 - 5*a**4/24 + a**2. Let i(k) be the second derivative of y(k). Let i(f) = 0. What is f?
0, 1
Let w(v) be the second derivative of -1/14*v**3 + 3/7*v**2 - 1/28*v**4 + 0 - 39*v. Find q such that w(q) = 0.
-2, 1
Let f(m) = 5*m**3 + 24*m**2 + 14*m - 45. Let r(o) be the second derivative of -o**4/12 - o**3/6 + 12*o. Let w(h) = -f(h) + r(h). Factor w(j).
-5*(j - 1)*(j + 3)**2
Let a = -345577/21 - -16461. Let w = a - 14/3. Let -4/7*l**3 - 12/7*l**2 + w*l**5 + 2/7*l + 6/7 + 6/7*l**4 = 0. Calculate l.
-3, -1, 1
Let k(z) be the second derivative of z**6/2160 + z**5/240 + z**4/72 + 7*z**3/3 - 9*z. Let n(d) be the second derivative of k(d). Suppose n(m) = 0. What is m?
-2, -1
Let o(g) be the second derivative of -g**4/36 + 5*g**3/9 - 8*g**2/3 - 1016*g. Factor o(d).
-(d - 8)*(d - 2)/3
Let f = 5959 - 5957. Factor 2/7 + 2/7*g**3 - 2/7*g**f - 2/7*g.
2*(g - 1)**2*(g + 1)/7
Factor -3*a**2 + 54 + 14*a**3 + 81 + 63*a - 17*a**3.
-3*(a - 5)*(a + 3)**2
Suppose 8 = -2*f - 3*a, f + 2*f - 2*a = -12. Let o be (-2)/f*0/6. Find h, given that o - 1/2*h**2 + 1/2*h**4 - 1/2*h**5 + 0*h + 1/2*h**3 = 0.
-1, 0, 1
Let t = -2 - -5. Factor 5*l**2 - 5*l**3 + 6*l**t + l**5 + 2*l**4 - 5*l**2.
l**3*(l + 1)**2
Suppose 4*x = g + 9 + 16, 3*x - 9 = 4*g. Find u such that 3*u + u**2 - 12*u**3 - x*u**2 - 4*u**4 - 6*u**2 - 7*u = 0.
-1, 0
Let j(r) be the third derivative of r**8/3360 - r**7/315 + r**6/72 - r**5/30 - 11*r**4/8 + 2*r**2. Let p(w) be the second derivative of j(w). Factor p(k).
2*(k - 2)*(k - 1)**2
Let z(h) be the third derivative of 0*h + 11/200*h**6 - 1/30*h**5 + 14*h**2 + 0*h**4 + 0 + 0*h**3 + 1/150*h**7. Suppose z(x) = 0. Calculate x.
-5, 0, 2/7
Let x be (-13)/26 - (-2)/4. Let -5*f + 10 + 12*f**3 - 7*f**3 - 10*f**2 + x*f**3 = 0. Calculate f.
-1, 1, 2
Factor 11/2*l - 9 - 1/2*l**2.
-(l - 9)*(l - 2)/2
Let s(g) be the first derivative of g**4/10 + 76*g**3/15 + 361*g**2/5 + 310. Factor s(n).
2*n*(n + 19)**2/5
Let d(q) = q**3 + q**2 - q - 1. Let v(y) = 3*y**3 + 2*y**2 - 3*y - 2. Let h(a) = -4*d(a) + 2*v(a). What is m in h(m) = 0?
-1, 0, 1
Suppose 0 = 2*i - 6*i + 88. Suppose 3*b - i = 4*d, -b - 4*d - 4 = 10. Factor -2/13*n**b + 0 + 2/13*n**3 + 0*n.
2*n**2*(n - 1)/13
Let u = 22426/3 - 7475. Let -4/3*m**2 + u*m**4 - 4/3*m + 0 + 1/3*m**3 = 0. Calculate m.
-2, -1, 0, 2
Let u(j) be the third derivative of -j**8/15120 + j**6/1620 + 29*j**4/24 - 2*j**2. Let l(w) be the second derivative of u(w). Suppose l(h) = 0. What is h?
-1, 0, 1
Let r(i) be the first derivative of i**7/357 + i**6/255 - i**5/170 - i**4/102 - i - 6. Let y(o) be the first derivative of r(o). Find f such that y(f) = 0.
-1, 0, 1
Suppose 2*n - 11 - 4 = -5*s, 0 = -4*s + n + 12. Suppose s*h - 4 = h. Solve 5*o**2 - 3*o**h + 3 + 0*o**2 - 4 - o**4 = 0.
-1, 1
Determine a, given that -37*a + 65*a**2 - 4*a - 69*a**2 - 27*a = 0.
-17, 0
Suppose 298 = -26*d + 175*d. Factor -2/7*q**2 + 16/7 + d*q.
-2*(q - 8)*(q + 1)/7
Suppose -6/7*o**2 + 0*o + 0 + 3/7*o**5 + 6/7*o**4 - 3/7*o**3 = 0. Calculate o.
-2, -1, 0, 1
Let v be (-104)/4368*(3 + -15). Factor -24/7*w + 22/7 + v*w**2.
2*(w - 11)*(w - 1)/7
Suppose 0 = 24*t - 51*t + 81. Suppose 12/7*b + 4/7*b**t - 4/7 - 12/7*b**2 = 0. Calculate b.
1
Let z(u) = 5*u**2 - u - 25*u**3 + u**4 - 3*u + 10*u**3 + u**3. Let g(b) = -10*b**4 + 155*b**3 - 55*b**2 + 45*b. Let f(o) = 4*g(o) + 45*z(o). Factor f(k).
5*k**2*(k - 1)**2
Let p(v) be the second derivative of 3*v**5/40 + 3*v**4/8 - 5*v**3/2 + 34*v - 2. Suppose p(n) = 0. What is n?
-5, 0, 2
Let i = 19248/7 - 2763. Let g = -13 - i. Determine d so that -2/7*d**3 - 2/7 + g*d + 2/7*d**2 = 0.
-1, 1
Factor -1/4 + 11/8*u**2 + 5/8*u + 1/2*u**3.
(u + 1)*(u + 2)*(4*u - 1)/8
What is m in 0 + 1/2*m + 4*m**2 + 9/2*m**3 - 9*m**4 = 0?
-1/3, -1/6, 0, 1
Let z = -1328 - -1330. Let w(q) be the first derivative of 6/5*q**2 - z + 18/5*q + 2/15*q**3. Let w(a) = 0. What is a?
-3
Let b = -1753 - -1753. Factor -3/2*d**3 + b*d + 0 + 3*d**2.
-3*d**2*(d - 2)/2
Let b(v) be the second derivative of -v**6/15 + v**4/6 + 80*v. Suppose b(h) = 0. What is h?
-1, 0, 1
Let m be (4/(-3)*(0 - -3))/(-2). Factor -11*o - 12 - 4*o - 5*o**m + 2.
-5*(o + 1)*(o + 2)
Let n = -6 - -8. Suppose 2*h = -31 + 37. Determine z so that -8*z**3 - 10*z**n + 0*z**3 - h*z + z = 0.
-1, -1/4, 0
Let d(c) be the third derivative of 0*c**4 + 0*c**3 + 0 + 0*c + 0*c**5 - 1/210*c**7 - 12*c**2 + 0*c**6. Suppose d(y) = 0. Calculate y.
0
Factor 17*h**3 - 21*h**3 - 73*h + 153*h - 76*h**2.
-4*h*(h - 1)*(h + 20)
Suppose 0 = -5*i - 11 + 21. Factor 24*j**2 - i*j + 8*j + 6*j + 15*j - 3*j**3.
-3*j*(j - 9)*(j + 1)
Let c(z) be the third derivative of -z**6/1260 + z**5/70 - 3*z**4/28 + 3*z**3/7 - 3*z**2 - 2. Factor c(m).
-2*(m - 3)**3/21
Suppose -4*o + 7 = -4*c + 23, c + 2*o + 2 = 0. Let u(g) be the first derivative of -4/3*g**3 + 2*g + 5 - 7/2*g**c. Factor u(v).
-(v + 2)*(4*v - 1)
Find x such that -5/3*x**3 + 7/3*x**2 + 1/3*x**4 - x + 0 = 0.
0, 1, 3
Find d such that 50*d - 2500 - 1/4*d**2 = 0.
100
Determine q, given that 0 - 20*q**2 - 100/7*q - 44/7*q**3 - 4/7*q**4 = 0.
-5, -1, 0
Let t(z) be the first derivative of 2*z**2 + 2/3*z**4 + 6*z - 2 - 2*z**3. Let a(f) be the first derivative of t(f). Let a(v) = 0. Calculate v.
1/2, 1
Let r(j) be the first derivative of -j**6/1080 - j**5/216 - j**4/108 - 7*j**3/3