tor -81/5*n - 9*n**2 - 3/5*n**3 + 729/5.
-3*(n - 3)*(n + 9)**2/5
Let o = -6/13 + 133/260. Let n(d) be the second derivative of -11/40*d**5 + 0 + 1/3*d**3 - 6*d - o*d**6 - 1/3*d**4 + 0*d**2. Suppose n(h) = 0. Calculate h.
-2, 0, 1/3
Let u = 569/1560 + 2/195. Factor u - 1/4*l - 1/8*l**2.
-(l - 1)*(l + 3)/8
Let p = 1246 + -11210/9. Factor -2/9*u**2 + p*u + 2/3.
-2*(u - 3)*(u + 1)/9
Factor 26/3 + 17/2*d - 1/6*d**2.
-(d - 52)*(d + 1)/6
Let x be (-4)/7*(2 + -9). Suppose 1/7*m**x - 5/7*m**2 - 1/7*m**3 + 0 - 3/7*m = 0. Calculate m.
-1, 0, 3
Let i(q) be the first derivative of -3*q**5/5 + 9*q**4/4 + 24*q**3 + 42*q**2 + 29. Factor i(r).
-3*r*(r - 7)*(r + 2)**2
Let i(q) be the second derivative of q**5/390 - q**4/156 - 12*q**2 + 28*q. Let z(g) be the first derivative of i(g). Factor z(r).
2*r*(r - 1)/13
Let t(s) = -6*s**2 - 3*s + 4. Let k be t(-2). Let z be 56/(-16)*16/k. Solve 2/15*x**3 + 0 + 4/15*x**z + 2/15*x**5 + 0*x + 0*x**2 = 0 for x.
-1, 0
Let v(q) be the second derivative of -q**8/5040 + 2*q**7/945 + q**6/540 - 2*q**5/45 - 7*q**4/12 + 7*q. Let n(f) be the third derivative of v(f). Solve n(p) = 0.
-1, 1, 4
Determine s so that 78 - 3*s**2 + 5*s**2 - 124*s + 0*s**2 - 112*s + 268*s = 0.
-13, -3
Let n(f) be the first derivative of 0*f**4 + 0*f**2 + 0*f**3 + 2/5*f**6 + 8/25*f**5 + 43 + 0*f. Factor n(a).
4*a**4*(3*a + 2)/5
Let q(m) = -m**2 - 69*m - 1293. Let r(c) = -4*c**2 - 277*c - 5173. Let d(k) = 22*q(k) - 6*r(k). Factor d(y).
2*(y + 36)**2
Let p(h) = -h**3 + 6*h**2 - 3*h - 8. Let j be p(4). Suppose -j*q = -8*q. Factor -3/4*b + 3/4*b**2 + q.
3*b*(b - 1)/4
Let v(q) = 9*q**2 - 2*q + 1. Let j be v(1). Suppose 4*w - j*w + 24 = 0. Solve -w*o - 6*o + 2*o**5 + 15*o**3 - 5*o**5 = 0.
-2, -1, 0, 1, 2
Suppose 6*x = -25 + 115. Let f = x + -13. Factor -9/5 - 6/5*s + 3/5*s**f.
3*(s - 3)*(s + 1)/5
Suppose 460 = -x + 5*x - 4*c, -228 = -2*x + 3*c. Find t, given that -18 - 21*t + 35*t**3 - 61*t**3 - 73*t**3 + 21*t**4 + x*t**2 = 0.
-2/7, 1, 3
Let i(y) be the first derivative of -y**2 + 0*y + 18 + 4*y**5 + 13/2*y**4 + 4/3*y**3. Solve i(l) = 0 for l.
-1, -1/2, 0, 1/5
Suppose 0 = 2*a + 2 - 10. Let d(c) be the third derivative of 0*c**6 + 1/75*c**5 + 7*c**2 + 0*c**a - 1/525*c**7 - 1/15*c**3 + 0 + 0*c. Factor d(t).
-2*(t - 1)**2*(t + 1)**2/5
Let d(v) be the third derivative of 1/15*v**5 + 2/3*v**3 + 1/3*v**4 + 10*v**2 + 0*v + 0. Suppose d(x) = 0. Calculate x.
-1
Factor -14/3*j - 4 - 2/3*j**2.
-2*(j + 1)*(j + 6)/3
Let r(n) be the third derivative of -5*n**8/1008 - 5*n**7/126 - n**6/72 + 17*n**5/36 + 55*n**4/36 + 20*n**3/9 + 652*n**2. Find p, given that r(p) = 0.
-4, -1, 2
Let o(w) be the third derivative of w**9/12096 - w**8/576 + 5*w**7/336 - w**6/16 - 3*w**5/20 + 10*w**2. Let n(y) be the third derivative of o(y). Factor n(v).
5*(v - 3)**2*(v - 1)
Let k(m) be the third derivative of -m**6/40 - m**5/2 - 2*m**4 + 10*m**2 + m. Solve k(z) = 0.
-8, -2, 0
Suppose 103*a = 3*w + 105*a - 8, -3*w + 3*a - 12 = 0. Let t = -1/110 - -227/770. Find b such that w + 2/7*b + t*b**2 = 0.
-1, 0
Let l(p) = 49*p**2 - 131*p - 506. Let m(x) = 58*x**2 - 132*x - 507. Let s(d) = -7*l(d) + 6*m(d). Find r, given that s(r) = 0.
-20, -5
Let t(f) = -3*f**4 - 3*f**3 - 21*f**2 - 9*f + 24. Let a(w) = -w**4 - w**3 - w + 1. Let h(n) = 6*a(n) - t(n). Solve h(u) = 0 for u.
-3, -1, 1, 2
Let n(z) be the second derivative of 1/2*z**3 + 5/6*z**2 + 0 + 18*z + 1/9*z**4. Factor n(t).
(t + 1)*(4*t + 5)/3
Suppose -4*d = 0, -d + 2*d = -5*p + 6*d. Factor 2/7*b**3 - 8/7*b - 4/7*b**2 + 1/7*b**4 + p.
b*(b - 2)*(b + 2)**2/7
Let j(z) be the third derivative of -1/50*z**5 + 0*z + 0 - 4/15*z**3 - 18*z**2 - 1/150*z**6 + 1/525*z**7 + 2/15*z**4. Solve j(a) = 0 for a.
-2, 1, 2
Let u = -355/14 + 359/14. Factor -4/7 + u*o + 2/7*o**2.
2*(o - 1)*(o + 2)/7
Let b(l) be the second derivative of -l**5/12 + 35*l**2/2 - 12*l. Let o(x) be the first derivative of b(x). What is g in o(g) = 0?
0
Let p(m) = -m**4 + m**2 - 4*m - 1. Let w(z) = z**4 + 70*z**3 - 61*z**2 - 106*z + 6. Let c(j) = -6*p(j) - w(j). Solve c(q) = 0.
-1, 0, 2, 13
Let g(q) = 3*q**2 + 2*q**3 - 5 - 3*q + 5*q**3 + 0*q**2. Let c(w) = 6*w**3 + 3*w**2 - 2*w - 4. Let m(o) = -6*c(o) + 5*g(o). Let m(a) = 0. Calculate a.
-1
Let d(o) be the third derivative of -5/6*o**3 - 1/4*o**5 + 9*o**2 + 0*o - 1/24*o**6 - 5/8*o**4 + 0. Determine l so that d(l) = 0.
-1
Let z(y) be the second derivative of 4/45*y**3 - 2/45*y**4 + 3*y + 2/75*y**6 + 1/35*y**7 - 11/150*y**5 + 0*y**2 + 8. Solve z(k) = 0 for k.
-1, 0, 2/3
Let l(n) be the third derivative of n**6/144 - n**5/18 - 55*n**4/144 - 5*n**3/6 - 3*n**2 + n. Factor l(t).
5*(t - 6)*(t + 1)**2/6
Let v(l) be the second derivative of l**6/45 + 3*l**5/5 + 10*l**4/3 + 56*l**3/9 - 8*l + 8. Suppose v(a) = 0. What is a?
-14, -2, 0
Factor -50/17 - 22/17*r**2 - 70/17*r - 2/17*r**3.
-2*(r + 1)*(r + 5)**2/17
Factor 22 - 4*j - 2*j**2 + 12 - 18.
-2*(j - 2)*(j + 4)
Let l(z) be the second derivative of z**4/30 - z**3/3 + 104*z. Factor l(m).
2*m*(m - 5)/5
Factor 2*f**4 - 8*f**2 - 2 - 38*f**3 + 10 + 42*f**3 - 2 - 4*f.
2*(f - 1)**2*(f + 1)*(f + 3)
Let a = -132 + 137. Suppose -2*q + 14 = 2*r, 2*r + 2*r + a*q - 33 = 0. Factor -3/8*g + 0 + 1/8*g**r.
g*(g - 3)/8
Suppose -54*t - 1296 = -50*t. Let h be (-32)/(1*2)*81/t. Factor -1/5*s**h - 1/5*s**2 + 2/5*s**3 + 0 + 0*s.
-s**2*(s - 1)**2/5
Suppose -2*i + 3*h + 8 = -3, -i - 3*h - 17 = 0. Let b be -3 + ((-2)/((-22)/23) - i). Factor 18/11 + b*n + 2/11*n**2.
2*(n + 3)**2/11
Let z(y) be the second derivative of -2/3*y**3 - 6/5*y**2 + 0 + 1/5*y**5 - 6*y + 1/5*y**4. Factor z(l).
4*(l - 1)*(l + 1)*(5*l + 3)/5
Let n(p) be the first derivative of -6*p**3 + 5*p**4 + 3*p**3 - p**5 + 34 - 2*p**3 + 0*p**3. Factor n(u).
-5*u**2*(u - 3)*(u - 1)
Suppose 43*x = 40*x + 6. Let t(r) be the first derivative of -2/11*r**x + 0*r - 4 - 1/22*r**4 + 2/11*r**3. Factor t(k).
-2*k*(k - 2)*(k - 1)/11
Let u(m) be the second derivative of -1/4*m**4 + 0 - 25*m - 1/2*m**3 + 9*m**2. What is o in u(o) = 0?
-3, 2
Let s(d) be the second derivative of -d**3 + 9/2*d**2 + 0 - 3*d + 1/12*d**4. Find m such that s(m) = 0.
3
Let j(k) = -k**2 + 2*k + 2. Let o be j(2). Determine u so that 3*u**2 + 0*u - 30*u**3 + 0*u + 10*u + 2*u**o = 0.
-1/2, 0, 2/3
Let a(f) be the second derivative of -f**5/40 - f**4/12 + 3*f**3 + 18*f**2 - 516*f. Factor a(g).
-(g - 6)*(g + 2)*(g + 6)/2
Let 0*m + 0 + 1/4*m**2 = 0. What is m?
0
Let z(f) = f**3 - 15*f**2 - 41*f + 121. Let o be z(17). Let 2*y**3 - 5/2*y**o + 1/2*y + 0 = 0. What is y?
0, 1/4, 1
Factor -4*h - 8*h - 4*h**2 + 84 - 12.
-4*(h - 3)*(h + 6)
Let n(x) be the third derivative of -x**8/5040 - x**7/630 + 4*x**4/3 - 27*x**2. Let i(d) be the second derivative of n(d). Factor i(h).
-4*h**2*(h + 3)/3
Factor 3*q**4 - 13*q**2 + 30 - 35*q - 39*q**3 + 112*q**2 - 58*q.
3*(q - 10)*(q - 1)**3
Solve 16/5*z + 2/5*z**2 + 32/5 = 0 for z.
-4
Let p = 889 + -889. Let z(l) be the second derivative of -1/20*l**4 + 0 + p*l**2 - 7*l + 1/5*l**3. Suppose z(y) = 0. What is y?
0, 2
Let i(u) = u**3 + 24*u**2 + 38*u - 73. Let m be i(-22). Suppose m - 59 = -8*q. Factor 0*p - 1/2*p**2 - 3/4*p**3 + q - 1/4*p**4.
-p**2*(p + 1)*(p + 2)/4
Let a = -30 + 45. Suppose 14*z - a*z + 4 = 0. Factor 0*h**2 + 0 + 2/9*h**3 + 0*h**z + 0*h - 2/9*h**5.
-2*h**3*(h - 1)*(h + 1)/9
Let 0 + 40*d**2 - 25/2*d**5 - 5*d**4 + 10*d + 75/2*d**3 = 0. What is d?
-1, -2/5, 0, 2
Let o(x) be the second derivative of -x**5/100 - 11*x**4/60 + x**3/30 + 11*x**2/10 + 694*x. Factor o(b).
-(b - 1)*(b + 1)*(b + 11)/5
Factor 164 + 37 + 25*m**2 + 560*m + 18 + 1.
5*(m + 22)*(5*m + 2)
Let y(n) be the third derivative of n**5/60 - 17*n**4/168 + n**3/7 + 86*n**2. Let y(o) = 0. What is o?
3/7, 2
Let k be (-4 + (-801)/(-198))/(-1 + 26/24). Suppose -k*i - 2/11*i**3 + 10/11*i**2 + 0 - 2/11*i**4 = 0. Calculate i.
-3, 0, 1
Suppose 5*a + 56 = 11. Let f = 12 + a. Factor 3*d**3 - 27*d**4 + f*d**3 - 2*d**5 + 23*d**5.
3*d**3*(d - 1)*(7*d - 2)
Let i(w) = 6*w**2 - 9*w. Let h(q) = 6*q**2 - 9*q + 1. Let g be (-3)/(-1) + -1 + -4. Let o(j) = g*i(j) + 3*h(j). Let o(s) = 0. What is s?
1/2, 1
Let t(s) be the second derivative of -s**7/756 - s**6/810 + s**5/108 + s**4/54 - s**3 - 17*s. Let g(m) be the second derivative of t(m). Factor g(v).
-2*(v - 1)*(v + 1)*(5*v + 2)/9
Let m be 12/(-10)*(-25)/15. Determine g, given that -4*g**2 + 1