/24). Let p(c) = x*v(c) + l(c). Suppose p(q) = 0. Calculate q.
-1, 1
Let h(v) be the second derivative of v**5/100 + v**4/60 - v**3/30 - v**2/10 - 13*v. Let h(r) = 0. What is r?
-1, 1
Let c(o) be the first derivative of o**6/1440 + o**5/240 + o**3 - 1. Let f(k) be the third derivative of c(k). Factor f(h).
h*(h + 2)/4
Let l(w) be the second derivative of w**4/6 + 5*w**3/3 + 4*w**2 + 21*w. Factor l(q).
2*(q + 1)*(q + 4)
Suppose 0 - 14/5*p**4 + 4/5*p**5 + 2/5*p + 18/5*p**3 - 2*p**2 = 0. What is p?
0, 1/2, 1
Let q(o) = 3*o**3 + o**2 - 2*o - 2. Let c be q(3). Let d be c/6 - 15/15. Determine v so that -8/3 - 14/3*v**3 - 16/3*v + d*v**2 = 0.
-2/7, 1, 2
Let q(r) be the second derivative of 0 - 1/24*r**3 + 0*r**2 - 3*r - 1/60*r**6 + 1/168*r**7 + 1/24*r**4 + 0*r**5. Find l, given that q(l) = 0.
-1, 0, 1
Let w(y) = 54*y**3 - 247*y**2 + 227*y - 85. Let p(n) = -9*n**3 + 41*n**2 - 38*n + 14. Let l(t) = 39*p(t) + 6*w(t). Factor l(m).
-3*(m - 3)*(3*m - 2)**2
Find z, given that -1/3*z**2 + z + 0 = 0.
0, 3
Let a(w) = w**2 - 40*w + 281. Let k be a(9). Factor 3/2*l**k - 3*l + 3/2*l**3 + 0.
3*l*(l - 1)*(l + 2)/2
Let n = -1 - 5. Let u(t) = t**2 - t + 6. Let l(z) = 5*z + 0*z**2 - z**2 + 3*z**2 + 11 - 7*z. Let y(o) = n*l(o) + 11*u(o). Suppose y(d) = 0. Calculate d.
0, 1
Let k(t) = -t**3 - 8*t**2 - t - 5. Let u be k(-8). Let i(q) be the first derivative of -1/3*q**2 + 4/9*q + 2/27*q**u + 2. Let i(y) = 0. What is y?
1, 2
Let p = 31 + -26. Let d(x) be the third derivative of 1/12*x**3 + 0 + 1/32*x**4 - 1/480*x**6 + 0*x + 0*x**p + x**2. Determine o, given that d(o) = 0.
-1, 2
Let m(p) be the first derivative of p**6/60 - p**4/12 - p**2/2 - 3. Let i(k) be the second derivative of m(k). Find q such that i(q) = 0.
-1, 0, 1
Let g(f) = 8*f**3 + 3*f**2 - 11. Let c(p) = -6*p**3 - 4*p**2 + 10. Let l(y) = 3*c(y) + 2*g(y). Determine q, given that l(q) = 0.
-2, 1
Let 0*o - 2/7*o**2 - 2/7*o**3 + 0 + 2/7*o**5 + 2/7*o**4 = 0. Calculate o.
-1, 0, 1
Let y(l) be the second derivative of -6*l**2 + 1/10*l**6 + 0 - l + 3/5*l**5 + 3/4*l**4 - 2*l**3. Find f, given that y(f) = 0.
-2, -1, 1
Determine w, given that -4/7*w**4 + 0*w + 2/7*w**2 - 2/7*w**3 + 0 = 0.
-1, 0, 1/2
Let j be -9 + 3 + 1 + 111/6. Let 9/2*a**2 + 27/2*a + j + 1/2*a**3 = 0. Calculate a.
-3
Let g(t) be the first derivative of -3/20*t**4 - 1/5*t**3 - 2 + 0*t + 0*t**2. What is l in g(l) = 0?
-1, 0
Suppose 3*g - 15 = 2*g. Let c be ((-144)/g)/((-27)/60). Solve 2/3 - 20/3*x - 44/3*x**3 + 62/3*x**2 - 64/3*x**4 + c*x**5 = 0 for x.
-1, 1/4, 1/2, 1
Suppose -19*f**3 + 26*f**5 + 14*f**3 - 15*f**4 - 6*f**5 = 0. Calculate f.
-1/4, 0, 1
Let u(k) = -15*k**2 - 9*k + 13. Let a(y) = -7*y**2 - 4*y + 6. Let o(q) = 13*a(q) - 6*u(q). Find g such that o(g) = 0.
0, 2
Let j(u) = u**3 + 3*u**2 + 10*u**2 - 10 + 1 - 2*u**3 - 11*u. Let i be j(12). Factor 14/3*f**i + 8*f**2 + 2*f - 4/3.
2*(f + 1)**2*(7*f - 2)/3
Let g(p) be the first derivative of -1/6*p**3 + 0*p + 1/8*p**4 + 2 - 1/2*p**2. Factor g(t).
t*(t - 2)*(t + 1)/2
Let v(u) = u**5 + u**3 + u + 1. Let d(m) = -4*m**5 + 12*m**4 - 19*m**3 + 12*m**2 - 4*m - 1. Let o(w) = -d(w) - v(w). Factor o(q).
3*q*(q - 1)**4
Let p(j) be the second derivative of j**4/3 - 2*j**3/3 - 4*j**2 - j. Factor p(g).
4*(g - 2)*(g + 1)
Let w(h) = -7*h + 1. Let r be w(1). Let k = -6 - r. Solve -d + k - 7/2*d**2 + 7/2*d**4 + d**3 = 0 for d.
-1, -2/7, 0, 1
Let z be (-2)/(-36)*2/168. Let t(x) be the third derivative of 0*x**3 + 0*x**4 + 0 + 0*x + x**2 + z*x**8 + 1/315*x**7 + 1/270*x**5 + 1/180*x**6. Factor t(h).
2*h**2*(h + 1)**3/9
Let r(q) be the first derivative of 0*q + 1/2*q**2 - 1/75*q**5 + 2 + 1/60*q**4 + 0*q**3. Let b(j) be the second derivative of r(j). Factor b(z).
-2*z*(2*z - 1)/5
Factor -230*n**2 - 27 - 72*n**3 - 5*n**5 - 45*n**4 - 18 - 78*n**3 - 147*n - 18*n.
-5*(n + 1)**3*(n + 3)**2
Let y(b) be the second derivative of -b**5/60 + 5*b**4/36 - 4*b**3/9 + 2*b**2/3 + b - 29. Factor y(x).
-(x - 2)**2*(x - 1)/3
Let b(c) be the third derivative of c**5/15 + 2*c**4/3 - 10*c**3/3 - 23*c**2. Determine o, given that b(o) = 0.
-5, 1
Let p be (-1)/(-5) - (-18)/10. Determine c so that -3 + 3*c + 2*c**2 + 1 + p*c**3 - 4*c - c = 0.
-1, 1
Factor 4/3*l**2 - 2/3*l**3 + 2/3*l - 4/3.
-2*(l - 2)*(l - 1)*(l + 1)/3
Let q(a) = 3*a**2 - 2*a - 3. Let y be q(-1). Let -16/11 - 350/11*d**4 - 8/11*d + 204/11*d**y + 170/11*d**3 = 0. Calculate d.
-2/5, 2/7, 1
Let y(n) be the first derivative of -4*n**5/65 + 9*n**4/26 - 28*n**3/39 + 9*n**2/13 - 4*n/13 - 8. Let y(r) = 0. What is r?
1/2, 1, 2
Let i = 24 - 14. Suppose i = 5*o - 0*o. Solve 6*n**5 - n**4 + 3*n**4 - 4*n**o - 6*n**3 + 2*n**2 = 0 for n.
-1, -1/3, 0, 1
Determine i so that 0 + 0*i**2 - 1/5*i + 1/5*i**3 = 0.
-1, 0, 1
Let k(w) be the third derivative of -w**8/36960 + w**7/4620 - w**6/1320 + w**5/660 - w**4/12 - w**2. Let m(x) be the second derivative of k(x). Factor m(o).
-2*(o - 1)**3/11
Let c be (-2)/(-5) - 52/(-20). Factor -i - 3*i**2 + c*i**2 - 3*i**2 + 2*i**2.
-i*(i + 1)
Let a(v) be the second derivative of -3*v**6/5 - 24*v**5/5 - 44*v**4/3 - 64*v**3/3 - 16*v**2 - 8*v. What is p in a(p) = 0?
-2, -2/3
Let y(b) be the first derivative of -b**3/3 - 3*b**2/2 + 55. Let y(u) = 0. Calculate u.
-3, 0
Let n be (-13)/(-3) - 4/12. Let t(j) = 216*j**4 - 249*j**3 + 15*j**2 + 33. Let w(o) = 27*o**4 - 31*o**3 + 2*o**2 + 4. Let l(v) = n*t(v) - 33*w(v). Factor l(g).
-3*g**2*(3*g - 2)*(3*g - 1)
Solve 0 - 12/7*y + 3/7*y**2 = 0 for y.
0, 4
Let a(n) be the third derivative of -n**10/105840 - n**4/8 - 2*n**2. Let u(x) be the second derivative of a(x). Factor u(v).
-2*v**5/7
Factor -2*c**2 - 1 + 0*c**2 + 3.
-2*(c - 1)*(c + 1)
Factor -12/7 - 15/7*d - 3/7*d**2.
-3*(d + 1)*(d + 4)/7
Let l be (-8)/24 + 3 + (-2)/3. Find p such that 3/2*p + 1 + 1/2*p**l = 0.
-2, -1
Let f(h) be the first derivative of 1/32*h**4 - 1 + 0*h - 1/12*h**3 + 1/2*h**2 - 1/240*h**5. Let l(o) be the second derivative of f(o). Factor l(v).
-(v - 2)*(v - 1)/4
Let g(r) be the third derivative of -r**5/15 - r**4/2 + 11*r**2. Factor g(j).
-4*j*(j + 3)
Let d = 108 - 108. Find h such that d*h + 0 + 1/3*h**3 + 1/3*h**2 = 0.
-1, 0
Let k(x) be the second derivative of 0 + 1/12*x**4 + 0*x**5 - 1/90*x**6 + 1/9*x**3 + 0*x**2 - 3*x. Factor k(n).
-n*(n - 2)*(n + 1)**2/3
Let l(d) be the second derivative of -d**6/1080 - d**5/90 - d**4/18 + d**3 - 4*d. Let o(t) be the second derivative of l(t). Let o(v) = 0. What is v?
-2
Let h(j) = -j - 1. Let l be h(-4). Let -2*m**3 + 2*m**l + 2*m**3 = 0. What is m?
0
Let a(b) be the second derivative of -b**5/10 + 3*b**4/4 - 9*b**2/2 + 2*b. Let p(g) = -g**3 + 4*g**2 - 4. Let q(l) = -4*a(l) + 9*p(l). What is f in q(f) = 0?
0
Let l(m) = -m**3 - 4*m**2 + 4*m - 2. Let i be l(-5). Find k, given that -i*k + 12*k**2 + 7*k - 14*k**2 = 0.
0, 2
Solve 2/3*h**3 - 2/3*h**5 - 2*h**4 + 14/3*h**2 + 0*h - 8/3 = 0.
-2, -1, 1
Solve -2*q - 4 + 4*q**2 + 7 - 11*q = 0 for q.
1/4, 3
What is f in -f**5 + f**2 - 74*f**4 + 16*f**5 + 12*f - 61*f**2 + 8*f**4 + 99*f**3 = 0?
0, 2/5, 1, 2
Let d be (-3)/(-2)*36/81 - 0. Let p(r) be the first derivative of 0*r - 4 - r**2 + d*r**3. Let p(w) = 0. What is w?
0, 1
Let u(v) be the second derivative of v**5/20 - v**3/6 - 24*v. Factor u(z).
z*(z - 1)*(z + 1)
Let r = 112 + -109. Suppose 0*c + 0*c**2 + 1/2*c**4 + 0 - 1/2*c**r = 0. Calculate c.
0, 1
Let p = -924 + 928. Factor -35/2*b**3 - 25/4*b**p - 11*b**2 + 0 - 2*b.
-b*(b + 2)*(5*b + 2)**2/4
Let p(u) be the first derivative of u**6/120 + u**5/20 + u**4/8 + u**3/6 - 2*u**2 - 4. Let y(m) be the second derivative of p(m). Factor y(b).
(b + 1)**3
Let v(q) be the second derivative of q**6/30 - 4*q**5/15 + 5*q**4/6 - 4*q**3/3 + q**2/2 - 5*q. Let s(t) be the first derivative of v(t). Factor s(o).
4*(o - 2)*(o - 1)**2
Let l(j) = 2*j**2 - 7*j - 2. Let d be 4 - (-50 - (4 - 7)). Let m(u) = 15*u**2 - 56*u - 16. Let o(x) = d*l(x) - 6*m(x). Determine p so that o(p) = 0.
-1/4, 2
Let t(a) be the third derivative of -a**7/630 - a**6/60 - a**5/20 + a**4/18 + 2*a**3/3 - 23*a**2. Let t(m) = 0. What is m?
-3, -2, 1
Let s(m) = -5*m**2 + 3*m - 4*m**2 + 10*m**2. Let q be s(-3). What is z in 0*z**2 - 2/7*z + q + 2/7*z**3 = 0?
-1, 0, 1
Factor -16/11*v - 2/11*v**2 - 32/11.
-2*(v + 4)**2/11
Let z(q) = -q**2 - 2*q - 1. Let o(u) = -8*u**2 - 18*u - 10. Let g(h) = -6*o(h) + 52*z(h). Factor g(l).
-4*(