19/8*p**4 - 7/5*p**5 + 0*p + p**2 - 1/4*p**6 - 10. Let u(c) = 0. What is c?
-2, -1, 0, 1/3
Let c(u) be the first derivative of 2*u**7/105 - u**5/5 + u**4/3 + 5*u**2/2 + 7. Let b(k) be the second derivative of c(k). Factor b(d).
4*d*(d - 1)**2*(d + 2)
Let y(v) be the first derivative of -v**4/114 - v**3/19 - 2*v**2/19 + 21*v + 2. Let p(b) be the first derivative of y(b). Let p(d) = 0. Calculate d.
-2, -1
Let r(x) be the first derivative of -x**5/20 - x**4/8 + 3*x**3 + 23*x**2/2 - 28. Let p(o) be the second derivative of r(o). Factor p(m).
-3*(m - 2)*(m + 3)
Suppose 8 = 4*m + 2*r, -3*m + 4*r = -0 - 17. Factor -5*c**4 + 4*c**m - c**3 - 7*c**4 + c**3.
-4*c**3*(3*c - 1)
Let z(a) = a**3 - 9*a**2 + 51*a - 27. Let h(f) = -f**2 - 3*f. Let x(t) = -4*h(t) - z(t). Suppose x(c) = 0. Calculate c.
1, 3, 9
Let f be (56/12)/(-7) - -1. Let l(p) be the first derivative of f*p**3 + 4 + 0*p - p**2. Factor l(r).
r*(r - 2)
Let r be -9*(-2)/(-42)*35/(-200). Let a(h) be the second derivative of -1/6*h**3 + 4*h + 0*h**2 + 7/24*h**4 - r*h**5 + 0. Determine y, given that a(y) = 0.
0, 1/3, 2
Factor 2/9*z**4 + 10/9*z**2 - 11/9*z**3 + 0 + 8/9*z.
z*(z - 4)*(z - 2)*(2*z + 1)/9
Let g(u) = -u**2 + 12. Suppose -2*k + 5 = k - l, -5*l = -2*k - 14. Let r be g(k). Determine j, given that 1/4*j**r - 9/4*j + 9/4*j**2 + 1/2 - 3/4*j**4 = 0.
-2, 1/3, 1
Let k = -20 - -16. Let b be (-256)/(-180) + k/18. Determine v so that 6/5*v**4 + b*v - 2/5 - 2/5*v**5 - 4/5*v**3 - 4/5*v**2 = 0.
-1, 1
Let n = -263 + 94. Let v = n + 171. Find y such that v*y**2 + 2/3 + 2*y + 2/3*y**3 = 0.
-1
Let a be (3 + -1)/((-40)/(-8) - -1). Factor -2/3*f**3 + 0 - a*f**4 + 0*f - 1/3*f**2.
-f**2*(f + 1)**2/3
Let f(m) be the first derivative of 1/36*m**6 + 1/6*m**4 - 5/12*m**2 - 21 + 1/9*m**3 + 1/3*m - 2/15*m**5. Solve f(b) = 0 for b.
-1, 1, 2
Let o = 68 - 80. Let v be -3*2/42*o. Factor v*k**2 + 2/7 + 2/7*k**4 - 8/7*k**3 - 8/7*k.
2*(k - 1)**4/7
Determine k so that -1/4*k**2 + 0*k - 3/8*k**4 + 0 - 7/8*k**3 = 0.
-2, -1/3, 0
Let z(x) be the second derivative of 9*x**5/10 + 83*x**4/3 + 652*x**3/27 + 8*x**2 - 499*x. Suppose z(r) = 0. Calculate r.
-18, -2/9
Suppose -3 - 6 = 2*o + 3*u, 13 = -4*o - 5*u. Suppose 4*c + o = 11. Factor -3*r**2 + 0*r**2 - 5*r**2 + c + 0*r**2 + 6*r.
-2*(r - 1)*(4*r + 1)
Let g be (-13 + 5 + 4 + -4)/(-1). Let h(z) be the second derivative of -3/20*z**5 + 0*z**2 + 1/12*z**3 - 1/16*z**4 + 0 + g*z - 7/120*z**6. Factor h(c).
-c*(c + 1)**2*(7*c - 2)/4
Let z(x) = 4*x**3 + 3*x**2 + x + 2. Let f(y) = -5*y**3 - 4*y**2 - y - 2. Let o(s) = -5*f(s) - 6*z(s). Factor o(r).
(r - 1)*(r + 1)*(r + 2)
Let i be -1*(-9)/((-18)/(-56)). Suppose a + a = i. What is n in 30*n**4 + 0*n**3 - 28*n**2 - 24 + 22 - 18*n**5 + 4*n**3 + a*n = 0?
-1, 1/3, 1
Let l = -139/128 + 2575/1664. Determine u so that l*u**5 + 68/13*u**3 + 56/13*u**2 + 16/13*u + 0 + 34/13*u**4 = 0.
-2, -1, -2/3, 0
Let r(h) be the first derivative of h**3/9 + 17*h**2/3 - 205. Solve r(x) = 0.
-34, 0
Let x(d) be the first derivative of 9/4*d**2 - 2*d + 15 + 1/8*d**4 - d**3. Determine v, given that x(v) = 0.
1, 4
Let m = 600 + -598. Find l, given that 3/2*l**m + 0*l - 3/2 = 0.
-1, 1
Let u(k) be the first derivative of -k**5/20 - k**4/16 + 7*k**3/4 + 45*k**2/8 + 102. Factor u(o).
-o*(o - 5)*(o + 3)**2/4
Suppose -4*r - 4*q + 12 = -4, r = 4*q - 1. Factor 0 - i**4 + 0*i - 1/3*i**2 - 1/3*i**5 - i**r.
-i**2*(i + 1)**3/3
Let x(i) = i**2 - 9*i + 7. Let f be x(9). Let f*j + 2 - 17*j**2 - j + j**3 + 23*j**2 + j**3 = 0. Calculate j.
-1
Suppose 9*q - 10*q = -22. Suppose -q = c - 28. Find z, given that c*z**2 + 6*z - z**2 - 4*z + 8*z = 0.
-2, 0
Let v(q) be the first derivative of 4/3*q**3 + 6*q**2 - 1 + 8*q. Solve v(b) = 0 for b.
-2, -1
Let z(h) be the first derivative of h**6/14 + 6*h**5/35 - 9*h**4/4 + 22*h**3/7 + 30*h**2/7 - 72*h/7 - 71. What is x in z(x) = 0?
-6, -1, 1, 2
Let u = -92 - -94. Let w be (-3 - (-35)/10)/(u/12). Suppose 0*q + 0 - 2/9*q**w + 2/9*q**2 = 0. What is q?
0, 1
Let d(z) be the third derivative of 3*z**2 + 0 - 1/4*z**5 + z**3 + 3/8*z**4 + 0*z. Factor d(y).
-3*(y - 1)*(5*y + 2)
Suppose -5*s = 5*f - 10, 0*f + 8 = 4*s - 4*f. Let y(x) be the second derivative of 3/20*x**4 + 5*x - 3/5*x**s + 0 - 1/10*x**3. Factor y(k).
3*(k - 1)*(3*k + 2)/5
Let o(d) be the third derivative of -d**6/600 + 17*d**5/300 - 5*d**4/8 + 33*d**3/10 + 32*d**2 + 2*d. Factor o(b).
-(b - 11)*(b - 3)**2/5
Let b be (-2)/11 + (-120)/(-55). Let g be (2/30)/(0 + b/12). Let 0 + g*y**3 + 2/5*y**2 + 0*y = 0. Calculate y.
-1, 0
Let i(l) = 2*l**2 - 2*l + 1. Let j(r) = -8*r**2 + 62*r + 333. Let o(v) = -5*i(v) - j(v). Factor o(q).
-2*(q + 13)**2
Let o = 14305 - 14305. Solve o*z + 4/5*z**3 + 12/5*z**2 - 16/5 = 0.
-2, 1
Factor 1/4*q**2 + 9/4 + 3/2*q.
(q + 3)**2/4
Let b(n) be the third derivative of -n**5/240 - 5*n**4/96 + n**3/4 - 95*n**2. Factor b(m).
-(m - 1)*(m + 6)/4
Let z be (2/(-26))/(71/(-1846)). Factor 1/3*p**z + 28/3*p + 196/3.
(p + 14)**2/3
What is z in 2/17*z**2 + 0 + 156/17*z = 0?
-78, 0
Let h(c) be the first derivative of c**6/15 - 236*c**5/25 + 2639*c**4/5 - 215296*c**3/15 + 902393*c**2/5 - 2829124*c/5 + 309. Determine k so that h(k) = 0.
2, 29
Factor -2*j**2 - 6*j**2 - 8*j**2 - 8*j**4 + j**5 - 5*j**5 - 13*j**3 + 41*j**3.
-4*j**2*(j - 1)**2*(j + 4)
Let q(d) be the first derivative of d**8/2520 + d**7/630 - d**6/540 - d**5/90 + 4*d**3 - 2. Let u(f) be the third derivative of q(f). Solve u(j) = 0 for j.
-2, -1, 0, 1
Find l, given that -18 - 21*l**2 - 3/2*l**3 - 75/2*l = 0.
-12, -1
Suppose -7 - 5 = -b + 2*w, -5*b + 4*w + 60 = 0. Suppose 3*o - b - 3 = 0. What is v in 2 + 12*v + v**2 - o*v - 10*v = 0?
1, 2
Suppose -3*z + 32 = 5*z. Factor -2*t**2 + 3*t**4 - 2*t**5 - 4*t**5 - 10*t**3 - 17*t**z.
-2*t**2*(t + 1)**2*(3*t + 1)
Let t(f) be the third derivative of f**7/315 - f**6/60 + f**5/90 + f**4/12 - 2*f**3/9 + 2*f**2 + 12*f. Factor t(h).
2*(h - 2)*(h - 1)**2*(h + 1)/3
Let v(i) be the third derivative of -i**8/112 + 6*i**7/35 + 27*i**6/40 + 7*i**5/10 - 2*i**2 - 14. Factor v(c).
-3*c**2*(c - 14)*(c + 1)**2
Let k(n) be the second derivative of n**5/390 + n**4/52 + 2*n**3/39 - 11*n**2/2 + 3*n. Let a(g) be the first derivative of k(g). Solve a(m) = 0.
-2, -1
Factor -10*f**3 + 4*f**3 - 272 + f**3 + 4*f + 272*f**2 + f**3.
-4*(f - 68)*(f - 1)*(f + 1)
Suppose 5*f - 73 = -2*c, 8*f - 4*f - 58 = -2*c. Solve f*m**3 + 35*m**2 + 12 - 50*m**2 - 20*m + 3*m**4 + 8*m - 3*m**5 = 0.
-2, -1, 1, 2
Let j(u) be the third derivative of u**7/840 + u**6/120 + u**5/40 + 17*u**4/24 - 6*u**2. Let d(s) be the second derivative of j(s). Let d(v) = 0. Calculate v.
-1
Let z(y) be the second derivative of -y**8/6720 + y**7/1680 + y**6/1440 - y**5/240 + 3*y**3/2 - 13*y. Let d(q) be the second derivative of z(q). Factor d(c).
-c*(c - 2)*(c - 1)*(c + 1)/4
Suppose -l + 20 + 38 = 0. Let q be l/14 - (-6)/(-42). Solve 3*v - 5*v**2 - v + q*v**2 - 2*v**2 = 0 for v.
0, 2/3
Let r(v) be the third derivative of -v**5/20 - 3*v**4/8 + 5*v**3 - 151*v**2. Let r(w) = 0. Calculate w.
-5, 2
Suppose -24*j - 6 = -27*j. Factor 0*i + 7*i + 36 + 2*i + 3*i + i**j.
(i + 6)**2
Let q(r) be the first derivative of 3*r**4/8 - 33*r**3/2 + 189*r**2/4 - 93*r/2 + 101. Factor q(a).
3*(a - 31)*(a - 1)**2/2
Let l be 1 - -1 - 38/19. Let s(j) be the first derivative of l*j**4 + 1/15*j**5 + 1 + 0*j**2 + 0*j**3 + 0*j. Factor s(w).
w**4/3
Suppose 56 = 2*x + 52. Suppose -5*c**3 + 0*c**2 + 2*c**3 - 8*c**2 + x*c**2 = 0. Calculate c.
-2, 0
Let n(v) = -4*v**2 + 32*v - 64. Let d(r) be the first derivative of -2*r**3/3 + 8*r**2 - 32*r - 7. Let g(j) = -5*d(j) + 3*n(j). Factor g(z).
-2*(z - 4)**2
Suppose -2*a = 2*g + 16, 3*g = a - 2*g + 2. Let s be ((16/(-28))/(-1))/((-2)/a). Factor -2/7 - 2/7*w**s + 4/7*w.
-2*(w - 1)**2/7
Let g = -55/2411 - 280456/494255. Let d = 2/205 - g. Factor 0*m + 0 + d*m**2 - 3/5*m**3.
-3*m**2*(m - 1)/5
Let p(m) = -9*m**4 + 21*m**3 - 15*m - 3. Suppose -1 = 8*u - 25. Let h(b) = -b - 1. Let i(y) = u*h(y) - p(y). Find x such that i(x) = 0.
-2/3, 0, 1, 2
Let t(l) be the third derivative of l**8/100800 - l**7/5040 + l**6/900 + l**5/4 + 15*l**2. Let f(o) be the third derivative of t(o). Factor f(z).
(z - 4)*(z - 1)/5
Let m(v) be the third derivative of v**8/1344 + v**7/420 - v**6/480 - v**5/120 + 13*v**2 + v. Factor m(n).
n**2*(n - 1)*(n + 1)*(n + 2)/4
Let y(r) be t