econd derivative of -n**7/14 - 7*n**6/10 - 9*n**5/4 - 9*n**4/4 + 11*n + 4. Solve u(t) = 0.
-3, -1, 0
Let q(n) be the second derivative of -n**9/3024 - n**8/672 - n**7/504 + n**4/3 - 15*n. Let u(g) be the third derivative of q(g). Solve u(p) = 0 for p.
-1, 0
Let t(u) = u**5 + u**3 - u**2 - 1. Let i(o) = -6*o**5 - 15*o**4 + 29*o**3 + 51*o**2 - 105*o + 46. Let h(p) = i(p) + t(p). Find k such that h(k) = 0.
-3, 1
Let f(q) = 4*q**2 - 1. Let v be f(-1). Suppose 0 = 4*i - i - 12. Factor -2 + 7*z**i + 4*z**5 + 16*z**v + 4*z**4 + 3*z**4 + 4*z**2 - 4*z.
2*(z + 1)**4*(2*z - 1)
Let p(t) be the second derivative of -t**4/28 + 32*t**3/7 + 109*t. Factor p(d).
-3*d*(d - 64)/7
Let d(l) = 18*l**2 - 42*l - 4. Let r(w) = -37*w**2 + 83*w + 12. Let g(f) = -9*d(f) - 4*r(f). Determine c, given that g(c) = 0.
2/7, 3
Solve -1191*b - 2860 + 3726*b + b**3 - 195*b**2 + 4*b**3 - 8125 = 0.
13
Let t be (5 - (-260)/(-12))/9. Let f = 767/108 + t. Suppose f*x**2 + 9/4*x**4 - 3/2*x - 6*x**3 + 0 = 0. Calculate x.
0, 2/3, 1
Factor 11 + 5*g - 56 + 5*g**2 + 15.
5*(g - 2)*(g + 3)
Let z(d) be the third derivative of -d**8/420 + d**6/150 + 78*d**2. Factor z(t).
-4*t**3*(t - 1)*(t + 1)/5
Let l(t) be the second derivative of -t**6/480 - 3*t**5/80 - t**4/4 - 2*t**3/3 - 3*t**2/2 + 7*t. Let c(u) be the first derivative of l(u). Factor c(g).
-(g + 1)*(g + 4)**2/4
Let d(q) be the first derivative of -q**5/270 + q**4/18 - 5*q**3/27 + 15*q**2/2 - 19. Let u(c) be the second derivative of d(c). Suppose u(l) = 0. Calculate l.
1, 5
Let 40*f**2 + 17*f + 10*f + 5*f**3 + 58*f - 16 + 66 = 0. What is f?
-5, -2, -1
Let n(b) be the second derivative of -2*b**7/21 + 4*b**6/15 + 2*b**5/5 - 4*b**4/3 - 2*b**3/3 + 4*b**2 + 93*b - 2. Suppose n(q) = 0. Calculate q.
-1, 1, 2
Let w(i) = -2*i**3 + 19*i**2 + 11*i - 5. Let t be w(10). Factor -4*l**4 - 2*l + 2*l**t + 4*l**2 - 41 + 41.
2*l*(l - 1)**3*(l + 1)
Suppose 0 = 5*u - 4*j - 0*j - 40, 0 = u - 3*j - 19. Factor -2*z**5 + 4*z**5 + 4*z + 8*z**2 + 2*z**5 - 4*z**u + 0*z**5 - 4 - 8*z**3.
4*(z - 1)**3*(z + 1)**2
Suppose -15 - 3 = -3*j. Suppose n + 10 = j*n. Factor -20*c + 2*c**4 - 2*c**2 + n*c**3 + 20*c - 2*c**5.
-2*c**2*(c - 1)**2*(c + 1)
Let r(h) be the third derivative of -36*h**2 + 0*h**4 + 0*h - 1/525*h**7 - 1/100*h**6 + 2/75*h**5 + 0*h**3 + 0. Factor r(x).
-2*x**2*(x - 1)*(x + 4)/5
Let z(f) = -3*f**5 - 8*f**4 - 6*f**3 + 17*f**2 - 17*f - 17. Let g(n) = n**5 + 3*n**4 + 2*n**3 - 6*n**2 + 6*n + 6. Let l(r) = -17*g(r) - 6*z(r). Factor l(w).
w**3*(w - 2)*(w - 1)
Let g(t) be the third derivative of -t**5/240 - t**4/12 - 3*t**2 + 7*t. Factor g(x).
-x*(x + 8)/4
Let p(u) be the second derivative of 2*u**2 + 2*u**3 - 17*u + u**4 + 1/5*u**5 + 0. Factor p(c).
4*(c + 1)**3
Let c = 105 + -181. Let g = c - -79. Find b, given that -4/15 - 4/5*b**g + 2/5*b + 2/5*b**5 - 4/15*b**4 + 8/15*b**2 = 0.
-1, 2/3, 1
Let u(x) = x**2 + 21*x + 108. Let r be u(-9). Let q(i) be the first derivative of 0*i + 1/3*i**6 - 2/3*i**3 + r*i**2 - 1/2*i**4 + 10 + 2/5*i**5. Factor q(j).
2*j**2*(j - 1)*(j + 1)**2
Let p(z) be the first derivative of z**2/2 + 6*z + 17. Let h be p(-3). Solve -7/5*y**h + 0 + 1/5*y - 2/5*y**2 - 4/5*y**4 = 0.
-1, 0, 1/4
Let p(w) be the third derivative of w**8/26880 - w**7/960 - 13*w**5/60 - 31*w**2. Let v(a) be the third derivative of p(a). Let v(j) = 0. What is j?
0, 7
Let m(p) be the first derivative of -14 + 18*p - 27/4*p**4 - 57/2*p**2 + 21*p**3 + 3/5*p**5. Factor m(v).
3*(v - 6)*(v - 1)**3
Let v be 25/20 - 39/(-52). Let p(h) be the second derivative of -1/60*h**4 + 2*h + 0*h**v - 1/30*h**3 + 0. Suppose p(d) = 0. Calculate d.
-1, 0
Let a(c) be the second derivative of 11*c**4/12 + c**3/2 - c - 20. Solve a(x) = 0.
-3/11, 0
Let u(c) be the second derivative of -8*c**2 + 14/3*c**3 - 2/3*c**4 + 0 - 1/5*c**5 - 3*c. Solve u(p) = 0.
-4, 1
Factor 3/5*j**2 - 24 - 9/5*j.
3*(j - 8)*(j + 5)/5
Let c(o) be the third derivative of o**7/7140 - o**6/1020 + o**5/340 - o**4/204 + 2*o**3 - o**2. Let a(k) be the first derivative of c(k). Solve a(t) = 0 for t.
1
Suppose -7/4*h**4 + 53/8*h**3 + 9/2*h + 1/8*h**5 - 19/2*h**2 + 0 = 0. Calculate h.
0, 1, 2, 9
Suppose -3*b = 2*b - 10. What is q in 9*q + q**2 - q**3 - 9*q + 0*q**b = 0?
0, 1
Solve -68*d**3 + 92*d**2 + 84*d**4 - 2*d**5 - 30*d**4 + 14 - 58*d - 32*d**4 = 0.
1, 7
Let f = -54 + 57. Factor -2*i**f - 118*i + 10*i + 12*i + 18*i**2 - 48*i**2 + 128.
-2*(i - 1)*(i + 8)**2
Suppose 5*a - 2*u - 2*u = 53, -a - u + 16 = 0. Factor -7*g**3 - 45*g**2 - 231 + 226 - a*g**3 - 30*g.
-5*(g + 1)**2*(4*g + 1)
Let d(o) = 4*o**2 - 15*o + 3. Let q be d(4). Factor -q*l**2 + 32*l**2 - 14*l**3 - 30*l + 9*l**3.
-5*l*(l - 3)*(l - 2)
Factor 0*j**3 + 1/3*j**4 - 12*j**2 + 32/3*j + 64.
(j - 4)**2*(j + 2)*(j + 6)/3
Suppose -110*t - 353 = -109*t. Let w = t - -1773/5. Factor 7/5*o**2 + 6*o + w.
(o + 4)*(7*o + 2)/5
Let o(z) be the first derivative of -z**5 - 15*z**4/2 + 25*z**3 - 20*z**2 + 122. Factor o(j).
-5*j*(j - 1)**2*(j + 8)
Let a(f) = -73*f**2 - 246*f - 36. Let n(o) = 255*o**2 + 861*o + 126. Let v(q) = -18*a(q) - 5*n(q). Suppose v(x) = 0. Calculate x.
-3, -2/13
Let h(g) be the second derivative of -2*g**6/15 - 7*g**5/5 - 6*g**4 - 40*g**3/3 - 16*g**2 - 9*g - 2. Solve h(d) = 0.
-2, -1
Solve 6*p + 84*p**2 + 26*p**3 - 128 - 239*p**4 + 10*p + 241*p**4 = 0.
-8, -4, -2, 1
Let d = 23/30 - 11/30. Factor 0 + 2/5*i - 2/5*i**3 - 2/5*i**4 + d*i**2.
-2*i*(i - 1)*(i + 1)**2/5
Solve -128/5*v + 2*v**2 - 138/5 = 0.
-1, 69/5
Let r = -135 + 140. Let g(c) be the second derivative of -c**2 - 1/2*c**4 - c**3 + 4*c + 0 - 1/10*c**r. Factor g(q).
-2*(q + 1)**3
Let d(q) be the third derivative of q**5/15 + 5*q**4/3 - 10*q**3 - 3*q**2. Let z(c) = -c**2 - 8*c + 12. Let v(u) = -3*d(u) - 16*z(u). Factor v(o).
4*(o - 1)*(o + 3)
Let k(v) be the third derivative of v**8/560 - v**7/175 - 3*v**6/25 + 28*v**5/25 - 22*v**4/5 + 48*v**3/5 - 165*v**2. Factor k(y).
3*(y - 2)**4*(y + 6)/5
Let o(f) be the first derivative of -f**7/105 - 4*f**6/75 - f**5/10 - f**4/15 + 13*f - 14. Let c(b) be the first derivative of o(b). Solve c(r) = 0.
-2, -1, 0
Let u be 3/1*((-32)/12 - -3). Let v(y) be the first derivative of u - 1/6*y**3 + 0*y - 1/4*y**2. Factor v(b).
-b*(b + 1)/2
Let y(m) be the second derivative of -m**8/2240 - m**7/280 - 8*m**4/3 - 18*m. Let t(w) be the third derivative of y(w). Suppose t(i) = 0. What is i?
-3, 0
Suppose 37*d + 20 = 5*g + 32*d, -40 = -5*g - 5*d. Let z(r) be the first derivative of 0*r - 2*r**3 + g - 3/2*r**2 - 3/4*r**4. Factor z(a).
-3*a*(a + 1)**2
Determine g, given that 8/3*g - 8/3*g**3 + 7*g**2 - 20/3 - 1/3*g**4 = 0.
-10, -1, 1, 2
Let b(u) = -u**2 + 3*u + 8. Let m be b(6). Let d be (56/m)/(6/(-15)). Determine t, given that d*t + 3*t + 32 - t + 2*t**2 = 0.
-4
Let g be ((-414)/(-10764))/(2/13). Factor -g - 5/8*m + 3/8*m**2.
(m - 2)*(3*m + 1)/8
Let n(w) = 11*w**4 + 25*w**3 + 20*w**2 - 6*w - 6. Let h(c) = -65*c**4 - 150*c**3 - 120*c**2 + 35*c + 35. Let i(g) = 6*h(g) + 35*n(g). What is z in i(z) = 0?
-4, -1, 0
Let n(t) be the first derivative of 24 + 0*t**3 + 0*t + 0*t**2 + 1/2*t**4 + 1/6*t**6 - 3/5*t**5. Factor n(y).
y**3*(y - 2)*(y - 1)
Let a(x) be the second derivative of -x**4/28 + 3*x**3/14 + 27*x**2/7 + 2*x - 5. Suppose a(c) = 0. What is c?
-3, 6
Let y(u) = -u + 5. Let n be y(-7). Suppose 2 = l, 4*m = -l + n - 2. Solve 2/3*a**m - 2*a + 4/3 = 0 for a.
1, 2
Let o(i) be the first derivative of -5*i**6/6 + 5*i**4/2 - 5*i**2/2 + 121. Suppose o(h) = 0. What is h?
-1, 0, 1
Suppose -p = -5*g - 111, 3*g + 118 - 11 = p. Let k = p + -95. What is v in k - 12*v + 15/2*v**2 - 3/2*v**3 = 0?
1, 2
Find m such that -2*m**2 + 8/3 + 0*m + 2/3*m**3 = 0.
-1, 2
Let r = 1060048/1810299 + 1/48927. Let u = r - -3/37. Determine c so that -14/9*c - u*c**2 - 4/9 = 0.
-2, -1/3
Let p(k) = -17*k**3 - 17*k**2 - 13*k + 2. Let g(z) = 2*z**3 - 1. Let y(a) = -5*g(a) - p(a). What is t in y(t) = 0?
-1, -3/7
Let q = -8507/12 + 2837/4. Let 1/6*m**3 + 0 + 1/6*m + q*m**2 = 0. Calculate m.
-1, 0
Factor 15/4*h**3 + 175/2*h**4 - 25*h**2 - 245/4*h**5 + 0 - 5*h.
-5*h*(h - 1)**2*(7*h + 2)**2/4
Let d(o) = o**2 + 6*o + 9. Let q be d(-3). Suppose q = 55*m - 53*m. Factor b**4 - 1/2*b**5 + 0*b**2 + m + 0*b - 1/2*b**3.
-b**3*(b - 1)**2/2
Let u(y) be the first derivative of -9/7*y**2 + 3 + 0*y - 11/7*y**3. Factor u(d).
-3*d*(11*d + 6)/7
Sup