 h(f) = f**3 - 7*f**2 + 7*f - 4. Let y be h(6). Suppose -2*a**4 + 8*a**3 + 14*a - 2 - 12*a**y - 5*a - a = 0. Calculate a.
1
Let -2*o**2 + 2/5*o**3 + 0 + 8/5*o = 0. What is o?
0, 1, 4
Let f = -3529 - -3529. Factor 0*r**2 - 1/9*r**3 + f + 2/9*r**4 + 0*r - 1/9*r**5.
-r**3*(r - 1)**2/9
Let v(f) be the second derivative of 1/27*f**4 + 16*f + 0 + 1/45*f**5 - 8/27*f**3 - 8/9*f**2. Factor v(c).
4*(c - 2)*(c + 1)*(c + 2)/9
Let b = 1/3467 + 6913/72807. Let g(n) be the second derivative of 0 - 13*n - b*n**3 + 0*n**4 + 0*n**2 + 1/35*n**5. Solve g(c) = 0.
-1, 0, 1
Let -378/5*y**2 - 1377/5 - 24/5*y**3 + 3/5*y**4 - 1296/5*y = 0. What is y?
-3, 17
Let d(a) be the first derivative of 15/2*a**2 + 5*a**3 - 17 + 5*a + 5/4*a**4. Factor d(o).
5*(o + 1)**3
Let y = -40 + 44. Suppose -8*z**4 + 3*z**3 - y*z**5 + 11*z**3 + 16*z**2 - 16*z - 2*z**3 = 0. What is z?
-2, 0, 1
Let l(m) = 5*m - 23. Let d be l(5). Factor 5*b**2 + 23*b - b**5 - 8*b**2 + 5*b**2 - 22*b - d*b**4.
-b*(b - 1)*(b + 1)**3
Let a(t) = 2*t + 14. Let v be a(-6). Let l = v - 0. Suppose 3*y**4 + l*y**4 + y**3 - 6*y**4 = 0. What is y?
0, 1
Let a(f) be the first derivative of 2*f**3/3 - 4*f**2 - 10*f + 98. Factor a(c).
2*(c - 5)*(c + 1)
Let s(g) be the second derivative of -g**5/20 - 5*g**4/6 + g**3/2 + 15*g**2 - 8*g - 1. Let d be s(-10). Find f such that -2/3*f**2 + 0 + d*f + 2/3*f**3 = 0.
0, 1
Let i(j) = -2*j**2 - 13*j - 8. Let u(f) = -f**2 - 6*f - 3 - 1 - 2*f**2 + 2*f**2. Suppose -12*o = -2*o + 50. Let h(p) = o*u(p) + 2*i(p). Factor h(q).
(q + 2)**2
Let j(x) be the first derivative of 1/5*x + 0*x**3 - 1/40*x**4 + 3/20*x**2 - 4. Factor j(a).
-(a - 2)*(a + 1)**2/10
Suppose p = u - 4, 2*p = u + 7*p - 4. Suppose 2*k = -0*k + u. Suppose 2*d**5 + 3*d**2 + d**3 - 3*d**5 - 13*d**4 - 5*d**k + 15*d**4 = 0. Calculate d.
-1, 0, 1, 2
Suppose 0 = 4*s - 1 - 3. Let j(w) = 2*w - 2. Let i(q) be the first derivative of -q**3/3 - q**2/2 - q - 3. Let f(g) = s*j(g) - 4*i(g). Factor f(c).
2*(c + 1)*(2*c + 1)
Let c(g) be the first derivative of 2/15*g**3 - 4 + 1/5*g**5 + 0*g - 7/20*g**4 + 0*g**2. Let c(o) = 0. What is o?
0, 2/5, 1
Let a = -872 + 878. Let l(s) be the first derivative of -9/14*s**4 - 1/14*s**a + 0*s - 3/14*s**2 - 3 - 4/7*s**3 - 12/35*s**5. Factor l(f).
-3*f*(f + 1)**4/7
Let c = 2344 - 2341. Determine j so that 8/7*j**2 + 0 - 12/7*j + 4/7*j**c = 0.
-3, 0, 1
Let x(z) = -z - 10. Let d = -5 + -9. Let y be x(d). What is v in -2*v**y + 6*v**2 + 7 - v**4 - 10 = 0?
-1, 1
Let b(r) be the second derivative of -3*r**5/20 + 5*r**4/4 + r**3/2 - 15*r**2/2 + 5*r + 2. Factor b(h).
-3*(h - 5)*(h - 1)*(h + 1)
Determine m, given that -442*m + 33/4*m**2 + 1/4*m**4 + 13/2*m**3 + 1156 = 0.
-17, 4
Let v(y) = -4*y - 3*y - 7*y**2 + 7*y + 2 - y**3. Let w be v(-7). Factor -b**4 + 4*b**2 + 4*b - 8 - b**3 + 2*b**w + 0*b**2.
-(b - 2)*(b - 1)*(b + 2)**2
Let i = 1618 + -72809/45. Let c(k) be the second derivative of -i*k**5 - 2/27*k**3 + 0 + 2/27*k**4 + 10*k + 0*k**2. Factor c(y).
-4*y*(y - 1)**2/9
Let c = -140 - -86. Let l be (1 - 1)/(-2)*(-27)/c. Solve 0*r**2 + l*r**4 + 0 + 0*r + 3/7*r**3 - 3/7*r**5 = 0 for r.
-1, 0, 1
Let c(a) be the first derivative of -a**3/3 - 24*a**2 - 576*a + 181. Determine l, given that c(l) = 0.
-24
Suppose -4*b - 2*r = -30, 2*b + 2*r - 5 - 5 = 0. Factor 15*w**2 - w**4 + 7*w**3 + b*w**2 + 8*w**2 - 39*w**2.
-w**2*(w - 6)*(w - 1)
Let v(j) be the second derivative of -j**6/810 + j**5/30 + 7*j**3/3 - 30*j. Let k(o) be the second derivative of v(o). Factor k(m).
-4*m*(m - 9)/9
Let k be ((-62)/744)/(2/((-18)/(-5))). Let j = 3/5 - k. Factor 0 + 3/4*d**2 + j*d.
3*d*(d + 1)/4
Factor 0 - 1/7*b**2 + 4/7*b.
-b*(b - 4)/7
Let y(g) = 4*g**4 + 2*g**3 - 14*g**2 - 40*g - 32. Let a(h) = h**4 - h**3 - 4. Let n(k) = -2*a(k) + y(k). What is i in n(i) = 0?
-2, -1, 3
Let p(l) = 5*l**2 + 7*l - 5. Let m(b) = -b. Let d(v) = -15*m(v) - 5*p(v). Let w(q) = q - 1. Let f(u) = d(u) + 25*w(u). Factor f(k).
-5*k*(5*k - 1)
Let z(p) = -2*p**2 - 41*p + 5. Let k(c) = -4*c**2 - 60*c + 8. Let n(o) = -5*k(o) + 8*z(o). Determine x so that n(x) = 0.
0, 7
Let p(c) be the second derivative of c**7/315 - 4*c**6/225 + c**5/75 + 2*c**4/45 - c**3/15 + c + 8. Determine u, given that p(u) = 0.
-1, 0, 1, 3
Let d = -158 + 158. Let f be (-32)/(-64)*d/1. Factor f + 15/7*w**3 - 3*w**2 - 3/7*w**4 + 9/7*w.
-3*w*(w - 3)*(w - 1)**2/7
Determine n so that 9/2*n**3 - 11/2*n - 1 - 6*n**2 = 0.
-1/3, 2
Suppose 79 + 145 = -8*z. Let o be 2/3 + z/42. Find j such that o + 0*j - 4/5*j**2 - 2/5*j**4 + 6/5*j**3 = 0.
0, 1, 2
Let m(b) = b + 1. Let v be m(-1). Suppose v = -5*x - 66 + 76. Factor 0*f**x + 0 + 2/7*f - 2/7*f**3.
-2*f*(f - 1)*(f + 1)/7
Determine q so that 141/2*q**5 + 141*q**2 - 153/2*q + 6*q**3 + 3 - 144*q**4 = 0.
-1, 2/47, 1
Let z(m) be the third derivative of m**10/37800 + m**9/9450 - m**7/1575 - m**6/900 - m**4/4 + 5*m**2. Let n(a) be the second derivative of z(a). Solve n(t) = 0.
-1, 0, 1
Let l = -32115 - -128463/4. Suppose -l*d**3 - 9/4*d + 27/4 - 15/4*d**2 = 0. Calculate d.
-3, 1
Let g(a) be the second derivative of -12*a - 1/15*a**2 - 1/150*a**5 + 1/90*a**4 + 0 + 1/45*a**3. What is q in g(q) = 0?
-1, 1
Factor 26*c**2 - 8*c**3 + 33*c - 25*c - 20*c - 6*c**4.
-2*c*(c - 1)*(c + 3)*(3*c - 2)
Let y(r) be the second derivative of -2*r**7/21 + 4*r**6/5 - 14*r**5/5 + 16*r**4/3 - 6*r**3 + 4*r**2 - 531*r + 2. Factor y(h).
-4*(h - 2)*(h - 1)**4
Suppose -j + 6*j - 4 = -2*f, 10 = 5*f - 4*j. Suppose 4*t**5 + 19*t**f - 16*t**3 - 4*t**4 + 0*t**2 - 3*t**2 = 0. Calculate t.
-2, 0, 1, 2
Let m(a) = -a**3 + a - 1. Let d = -16 + 20. Suppose -d = -5*v - 9. Let g(w) = -5*w**3 - 2*w**2 + 3*w - 2. Let b(r) = v*g(r) + 2*m(r). Let b(q) = 0. What is q?
-1, 0, 1/3
Let p(v) = 22*v - 95. Let a be p(6). Suppose -a*j - 8 = -41*j. Solve 0 - 1/2*z + 3/2*z**j = 0.
0, 1/3
Suppose 5*l + 10*s - 5*s - 20 = 0, 5*s + 10 = 5*l. Factor 5*n - 3*n**l - 6*n - 9*n**2 + 13*n.
-3*n*(n - 1)*(n + 4)
Let o(l) be the first derivative of l**3/6 - 14*l**2 + 392*l - 47. Find r, given that o(r) = 0.
28
Let r(x) = 29*x - 6. Let a be r(2). Let g = 262/5 - a. Find m, given that -4/15*m - g + 2/15*m**2 = 0.
-1, 3
Let c(p) be the second derivative of -p**6/15 + 2*p**5/5 - p**4/3 - 4*p**3/3 + 3*p**2 + 11*p - 17. Determine h, given that c(h) = 0.
-1, 1, 3
Let x(l) be the first derivative of l**6/2 - 3*l**4 - 2*l**3 + 9*l**2/2 + 6*l + 150. Let x(u) = 0. Calculate u.
-1, 1, 2
Find n, given that 76/7*n**3 + 2/7*n**4 + 0 + 850/7*n**2 + 2312/7*n = 0.
-17, -4, 0
Let z(g) be the second derivative of g**9/25200 + g**8/5600 + g**7/4200 + 3*g**4 - 5*g - 7. Let d(w) be the third derivative of z(w). Find r such that d(r) = 0.
-1, 0
Let j(m) be the third derivative of -m**7/420 + 217*m**6/60 - 47089*m**5/20 + 10218313*m**4/12 - 2217373921*m**3/12 - 2*m**2 + 37*m. Factor j(h).
-(h - 217)**4/2
What is p in -5*p - 4*p**2 - 15 + 9*p + 15 = 0?
0, 1
Factor -2*k**3 + 11245 + 20*k - 2*k**3 - 11269 + 8*k**2.
-4*(k - 3)*(k - 1)*(k + 2)
Let g(x) be the first derivative of -x**4 + 4/3*x**3 - 1 + 12*x + 10*x**2. Factor g(h).
-4*(h - 3)*(h + 1)**2
Let c(a) = 251 - 252 + 3*a**3 - a + 5*a**2 - 9*a**4 - 7*a. Let j(v) = 3 - 4*v**4 + 2*v**3 - 3 + 2*v**2 - 4*v. Let o(k) = -2*c(k) + 5*j(k). Factor o(d).
-2*(d - 1)**3*(d + 1)
Let v = 15 + -43/3. Let h = 139 + -415/3. Solve -4*n**3 - 8/3*n**4 - 8/3*n**2 + 0 - h*n - v*n**5 = 0 for n.
-1, 0
Let w(m) be the second derivative of -2*m**7/105 + 17*m**6/90 - 8*m**5/15 + m**4/2 - 10*m**3/3 - 24*m. Let d(f) be the second derivative of w(f). Factor d(q).
-4*(q - 3)*(q - 1)*(4*q - 1)
Let q(r) = 17*r**4 + 18*r**3 - 13*r**2 - 42*r - 8. Let n(o) = 9*o**4 + 9*o**3 - 6*o**2 - 21*o - 3. Let z = 8 - 3. Let k(u) = z*n(u) - 3*q(u). Factor k(c).
-3*(c + 1)**3*(2*c - 3)
Let g(p) be the third derivative of 0 + 45/16*p**4 - 1/252*p**7 + 0*p - 5/8*p**5 - 15/2*p**3 - 8*p**2 + 11/144*p**6. Factor g(k).
-5*(k - 3)**3*(k - 2)/6
Let l = -14/19 + 174/133. Let q = -9131/7 - -1305. Let 10/7*r**3 - 10/7*r + q*r**2 - l = 0. What is r?
-1, -2/5, 1
Let r(f) be the second derivative of -f**8/5040 + f**7/1260 - f**6/1080 + 25*f**3/6 + 38*f. Let d(g) be the second derivative of r(g). Let d(u) = 0. What is u?
0, 1
Find v, given that -24 - 2/3*v**2 + 8*v = 0.
6
Let f be (-1784)/(-4424) - (-6)/(-14). Let j = f + 87/316. Factor -1/4*w - 1/4*w**4 + 1/2*w**3 + 1/2*w**