alculate n.
-1, 2/3, 1
Let l(a) be the second derivative of a**5/30 - 5*a**4/27 + 4*a**3/27 + 8*a**2/9 - 5*a. Factor l(s).
2*(s - 2)**2*(3*s + 2)/9
Factor j + j**2 + 1/4*j**3 + 0.
j*(j + 2)**2/4
Let u(q) be the first derivative of 4*q**5/45 + q**4/3 + 4*q**3/27 - 2*q**2/3 - 8*q/9 + 118. Factor u(g).
4*(g - 1)*(g + 1)**2*(g + 2)/9
Factor 17/2*r + 5*r**2 + 1/2*r**3 + 4.
(r + 1)**2*(r + 8)/2
Let t(y) = y**3 + 10*y**2 - 11*y - 7. Let w be t(-11). Let s = w - -12. Factor s*u**2 + 0*u**2 - 7*u**2 - 2*u - 2*u - 2.
-2*(u + 1)**2
Factor -1/4*a**2 - 33/2*a - 1089/4.
-(a + 33)**2/4
Let i be 12 + -6 - ((-520)/13)/(-10). Solve 4*z - 10/3 - 2/3*z**i = 0.
1, 5
Let j(g) be the third derivative of 0*g**3 + 1/75*g**5 - 1/15*g**4 - 2*g**2 + 1/150*g**6 + 0 + 0*g. Solve j(i) = 0.
-2, 0, 1
Let y be 0 - 3 - (0 + -3 + 0). Let s be 24/(-84)*(y - 2 - -1). Factor 2/7*w**2 - 2/7*w**4 + 0*w + 0 + 2/7*w**3 - s*w**5.
-2*w**2*(w - 1)*(w + 1)**2/7
Let c(t) = -5*t**2 - 17*t + 18. Let b(d) = 5*d**2 + 18*d - 17. Let v(g) = -2*b(g) - 3*c(g). What is y in v(y) = 0?
-4, 1
Let u = -152689/1115 + 76/223. Let f = u + 137. Let 2/5*x**5 + f*x**2 - 2/5*x**3 - 2/5*x**4 + 0 + 0*x = 0. Calculate x.
-1, 0, 1
Let w(z) = -z**5 + z**4 - z**3 + z**2. Let v(i) = 2*i**5 - 4*i**4 + 18*i**3 - 16*i**2. Let s(o) = -v(o) - 4*w(o). Solve s(h) = 0 for h.
-3, 0, 1, 2
Let w be 3/(-7) - 152/(-28). Solve -x**w + x**2 + x**3 + 2*x**4 - 4*x**3 + x**4 = 0.
0, 1
Let o(v) be the third derivative of -v**6/360 - 7*v**5/120 + 14*v**3/3 - 6*v**2. Let q(j) be the first derivative of o(j). Suppose q(t) = 0. What is t?
-7, 0
Let v(s) be the third derivative of -s**7/2100 + s**6/450 - s**5/300 + 19*s**3/6 - 3*s**2. Let q(o) be the first derivative of v(o). Factor q(g).
-2*g*(g - 1)**2/5
Let n(w) = 14*w**2 - 58*w + 97. Let y(v) = -5*v**2 + 20*v - 32. Let d(t) = 4*n(t) + 11*y(t). Determine k so that d(k) = 0.
6
Let j(o) be the third derivative of o**8/168 - o**7/5 + 17*o**6/60 + 61*o**5/30 - 3*o**4/2 - 40*o**3/3 - 139*o**2 - o. Find i, given that j(i) = 0.
-1, 1, 2, 20
Let t be 2 + 1 + 1*(-6 + 7). What is o in -4*o**2 - 1 + 12*o**3 + 6*o**5 - 14*o - 5 - 3*o**5 - o**5 + 10*o**t = 0?
-3, -1, 1
Let q be 3 - 5 - (12 + -20) - (2 - -1). Let -14/9*x**2 + 4/9*x + 0 + 2*x**q + 2/9*x**5 - 10/9*x**4 = 0. What is x?
0, 1, 2
Factor -50/3*u**2 - 45*u + 15.
-5*(u + 3)*(10*u - 3)/3
Let m be 2/(-126)*(-4150)/290. Let d = m + -1/203. Factor 4/9 + 2/9*p - d*p**3 - 4/9*p**2.
-2*(p - 1)*(p + 1)*(p + 2)/9
Let m = -2663/99864 - 1/1368. Let w = 278/511 - m. Let 2/7*h**2 + 0 + w*h = 0. Calculate h.
-2, 0
Let o = 17877 - 17874. Determine x so that -x**o - 5/3*x + 7/3*x**2 + 1/3 = 0.
1/3, 1
Factor -63 + 3/4*o**2 - 249/4*o.
3*(o - 84)*(o + 1)/4
Let w(o) = o**4 + 6*o**3 + 4*o**2 + 12*o + 12. Let u(m) = -m**3 - m**2 - m - 2. Let r(t) = -28*u(t) - 4*w(t). Factor r(y).
-4*(y - 1)**3*(y + 2)
Suppose 1/3*t**2 - 10/3 + 3*t = 0. Calculate t.
-10, 1
Let v be (-81)/(-54)*(0 - 2/(-36)). Let a(t) be the third derivative of t**2 + 0*t**5 - v*t**4 + 0*t + 0 + 1/180*t**6 + 2/9*t**3. Factor a(u).
2*(u - 1)**2*(u + 2)/3
Let o = 59 + -57. Factor 7*f**o + 9*f**2 - 397*f + 401*f.
4*f*(4*f + 1)
Determine o so that -648/7 + 120/7*o**3 + 1242/7*o - 108*o**2 + 16/7*o**4 = 0.
-12, 3/2
Let h(x) be the first derivative of x**6/6 - 3*x**5/5 - x**4/4 + 7*x**3/3 - 4*x + 67. Find a, given that h(a) = 0.
-1, 1, 2
Suppose b + 2*k = -4, -3*k - 6 = 3. Determine z, given that 103*z - 3*z**b - 1 - 53*z - 53*z - z**3 = 0.
-1
Let m(i) be the second derivative of i**7/98 + i**6/14 + 9*i**5/70 + 174*i. Factor m(g).
3*g**3*(g + 2)*(g + 3)/7
Let y(d) = -21*d**3 - 26*d**2 - 24*d + 62*d**2 - 8*d**3. Let i(r) = -10*r**3 + 12*r**2 - 8*r. Let u(l) = -17*i(l) + 6*y(l). Let u(g) = 0. Calculate g.
0, 1, 2
Let m(l) = -3*l - 7*l**2 - 1 - 4*l - l. Let c(i) = -13*i**2 - 15*i - 2. Let x(q) = q**2 - 24*q - 36. Let j be x(25). Let o(g) = j*m(g) + 6*c(g). Factor o(p).
-(p + 1)**2
Let v(q) be the first derivative of -q**6/540 + q**5/45 - q**4/12 + q**3/3 + 5. Let b(r) be the third derivative of v(r). Determine n so that b(n) = 0.
1, 3
Let p(z) be the second derivative of -z**4/6 - 22*z**3 - 1089*z**2 + 12*z. Factor p(m).
-2*(m + 33)**2
Let r(t) be the first derivative of 9*t**4/14 + 58*t**3/21 + 24*t**2/7 + 8*t/7 - 476. Solve r(n) = 0.
-2, -1, -2/9
Let k(p) be the third derivative of -p**6/480 - p**5/120 - 55*p**2 - 1. Solve k(v) = 0 for v.
-2, 0
Suppose -4*x = -2*h - 30, 0 = -5*x - 6*h + 8*h + 37. Suppose 0*l = 4*a - l - x, -2*a + 5*l = 19. Suppose 1/3*k**a - 10/9*k**2 - 2/9 + k = 0. What is k?
1/3, 1, 2
Let u = 16 - 13. Factor -6*y**4 - 3*y**u + 2*y**4 - y + 3*y**4 - 3*y**2.
-y*(y + 1)**3
Let g(p) = 2*p + 41. Let r be g(-12). Factor w**2 + 17*w - 5*w**3 - r*w.
-w**2*(5*w - 1)
Let u(y) = -5*y**2 + 54*y + 570. Let m(r) = 6*r**2 - 55*r - 569. Let g(j) = -6*m(j) - 7*u(j). Determine n, given that g(n) = 0.
-24
Factor 0 + 0*g**3 - 7/3*g**2 - 2*g + 1/3*g**4.
g*(g - 3)*(g + 1)*(g + 2)/3
Let q(z) = 200*z + 5*z**3 - 3*z**2 - 107*z - 103*z. Let g = 5 + -29. Let a(x) = -x**3 + x**2 + x. Let j(y) = g*a(y) - 3*q(y). Let j(d) = 0. Calculate d.
0, 2/3, 1
Let p(f) be the second derivative of 0 - 4*f - 1/5*f**2 - 3/10*f**3 - 7/50*f**5 - 4/15*f**4 - 1/25*f**6 - 1/210*f**7. Suppose p(h) = 0. What is h?
-2, -1
Find c, given that 48*c**2 - 72*c - 1/2*c**5 + 0 - 4*c**4 + 4*c**3 = 0.
-6, 0, 2
Suppose 4*y - 277 = k, 0 = 2*y + 2*k + 86 - 232. Let w = 491/7 - y. Factor 2/7*d - w*d**3 + 1/7*d**2 + 0.
-d*(d - 2)*(d + 1)/7
Let d(i) be the second derivative of i**2 - 1/3*i**4 - 1/30*i**5 - 4/3*i**3 + 0 + 6*i. Let u(z) be the first derivative of d(z). Factor u(v).
-2*(v + 2)**2
Let j = 29 + -25. Suppose -4*f - 16 = -5*w, j*w = -f - 9 + 5. Factor 0*a + 0*a**2 + 0 + w*a**4 - 2/7*a**3 + 2/7*a**5.
2*a**3*(a - 1)*(a + 1)/7
Factor -8*p**2 + 55*p**4 - 5*p**3 + 3*p**2 - 50*p**4 + 5*p**5.
5*p**2*(p - 1)*(p + 1)**2
Factor 16/7*j + 2/7*j**2 + 2.
2*(j + 1)*(j + 7)/7
Let l(y) be the third derivative of -y**8/20160 - y**7/5040 + y**6/360 - 4*y**5/15 + 4*y**2. Let a(c) be the third derivative of l(c). Factor a(w).
-(w - 1)*(w + 2)
Let q = 14 - 12. Let n(h) = -h - 8*h - q*h**2 - 16 + 3*h**2 - 7*h. Let a(s) = -4*s**2 + 48*s + 48. Let x(u) = 5*a(u) + 16*n(u). Factor x(o).
-4*(o + 2)**2
Let k(y) be the third derivative of y**6/900 - y**5/300 - y**3 + 18*y**2. Let w(o) be the first derivative of k(o). Factor w(j).
2*j*(j - 1)/5
Let w(j) = -152*j - 606. Let x be w(-4). Factor -1/7*z**x + 2/7*z + 1/7*z**4 + 0 + 1/7*z**5 - 3/7*z**3.
z*(z - 1)**2*(z + 1)*(z + 2)/7
Let g(y) be the first derivative of 7/27*y**6 + 1/6*y**4 - 8/15*y**5 + 4/27*y**3 + 0*y**2 + 0*y + 10. Determine k so that g(k) = 0.
-2/7, 0, 1
Factor 17 + 2/3*w**2 - 103/3*w.
(w - 51)*(2*w - 1)/3
Let j(a) be the second derivative of -a**5/60 + a**4/9 - a**3/18 - a**2 - 26*a - 2. Determine c so that j(c) = 0.
-1, 2, 3
Suppose 31*t = 116*t + 210*t. Factor t + 0*x - 2/9*x**2.
-2*x**2/9
Factor -10*m**3 + 0 - 8/5*m**2 + 0*m.
-2*m**2*(25*m + 4)/5
Let u(k) = -2*k - 4. Let n be u(-3). Suppose 0*c = -n*c + 20. Let 4*q + 2*q**2 + q**2 - c + 1 + 2*q = 0. Calculate q.
-3, 1
Suppose 0*p**3 + 0*p**2 - 1/3*p**5 + 0*p + 0 + 2*p**4 = 0. Calculate p.
0, 6
Let c(a) be the first derivative of -a**9/3024 + a**7/840 - 4*a**3 + 4. Let o(t) be the third derivative of c(t). Determine n, given that o(n) = 0.
-1, 0, 1
Let w(s) be the first derivative of -2/3*s - 2/9*s**3 - 8 - 2/3*s**2. Factor w(l).
-2*(l + 1)**2/3
Let b = -21 + 16. Let x be 3/b - (-92)/20. Let -6 - 3*c + 2 + x + 3*c**2 = 0. Calculate c.
0, 1
Let d(w) = 24*w - 6. Let i(r) = -r**3 + r**2 + 49*r - 19. Let f(c) = -5*d(c) + 3*i(c). Suppose f(n) = 0. What is n?
-3, 1, 3
Let g(a) be the second derivative of a**7/315 - 11*a**6/225 + 19*a**5/150 - a**4/10 + 222*a. Factor g(q).
2*q**2*(q - 9)*(q - 1)**2/15
Let v(x) be the second derivative of 3*x**5/20 + 13*x**4/4 + 23*x**3/2 + 33*x**2/2 + 192*x. Factor v(f).
3*(f + 1)**2*(f + 11)
Suppose -94*k - 6 = -96*k. Let z be (k/(-84)*2)/(6/(-12)). Factor z*o**3 + 3/7*o**2 + 0*o - 4/7.
(o - 1)*(o + 2)**2/7
Let d(o) = 12*o + 506. Let i be d(-42). Determine g so that -12/7 - 27/7*g**5 - 75/7*g**i + 87/7*g**4 + 72/7*g - 45/7*g**3 = 0.
-1, 2/9, 1, 2
Solve 1600/7 + 1/7*f**2 + 80/7*f = 0.
-40
Let t(l) be the third derivative of l**