+ 48734 + 2/7*s**2.
2*(s - 413)**2/7
Let c be 1/(18/4) - 41463/324. Let w = -127 - c. Factor w*t + 0 + 3/4*t**2.
3*t*(t + 1)/4
Let a(r) be the first derivative of -r**4/4 + 656*r**3 - 645504*r**2 + 282300416*r - 1725. Factor a(b).
-(b - 656)**3
Suppose -3/2*m**3 + 585 + 591/2*m - 291*m**2 = 0. Calculate m.
-195, -1, 2
Let p(y) = 18*y**3 - 11827*y**2 - 2304825*y + 7021059. Let d(k) = -7*k**3 + 3943*k**2 + 768275*k - 2340351. Let f(t) = -11*d(t) - 4*p(t). Factor f(x).
5*(x - 3)*(x + 395)**2
Suppose -c = -4 + 1. Let f(p) = p**3 + 9*p**2 + 7*p - 6. Let k be f(-8). Factor -7*m - 2014*m**c + 2017*m**3 + 16*m + 3 + 9*m**k.
3*(m + 1)**3
Let h = 319 + -322. Let o(g) = g**2 - 18*g + 23. Let u(y) = -18*y + 22. Let s(m) = h*u(m) + 2*o(m). Factor s(q).
2*(q - 1)*(q + 10)
Let r = 18 - 5. Let j be (-1)/(-2)*2 + -6 + r. Factor x**4 - 8*x**4 + 12*x**4 - j*x**3 - 2*x**3 + 5*x**2.
5*x**2*(x - 1)**2
Let n(f) be the first derivative of -f**4/3 - 4*f**3/3 + 32*f - 49. Let i(k) be the first derivative of n(k). Find t such that i(t) = 0.
-2, 0
Suppose -8*g = -15378 + 15378. Find h, given that 10/3*h**4 + 8/3*h**2 - 2/3*h**5 + 0*h + g - 16/3*h**3 = 0.
0, 1, 2
Let b(k) be the second derivative of k**7/147 + 313*k**6/105 - k**5/35 - 313*k**4/21 + k**3/21 + 313*k**2/7 - 5*k + 93. Determine q, given that b(q) = 0.
-313, -1, 1
Suppose -s + 3*a + 5 = 0, 2*s - 3*a - 9 = -s. Let t be 2/((-100)/(-170)) + (-2)/s. Determine l, given that 8 - 4/5*l**2 - t*l = 0.
-5, 2
Let a(n) be the second derivative of 31*n - 1/15*n**5 + 1/9*n**3 + 2 - 1/45*n**6 - 1/3*n**2 + 1/63*n**7 + 1/9*n**4. Factor a(d).
2*(d - 1)**3*(d + 1)**2/3
Let r(a) = a**4 + 8*a**3 + 7*a**2 - 198*a + 404. Let v(f) = -6*f**4 - 40*f**3 - 34*f**2 + 989*f - 2022. Let l(k) = -22*r(k) - 4*v(k). Solve l(g) = 0.
-5, 4, 5
Suppose 2*i + 3*h + 271 + 88 = 0, -2*i - 2*h = 356. Let m = -173 - i. Determine s, given that -1/4*s - 25/4*s**m - 5/4*s**4 + 3/2 - 23/4*s**3 = 0.
-3, -1, 2/5
Suppose 6698*n = 10862 + 2534. What is u in -42 + 111/5*u - 3/5*u**n = 0?
2, 35
Determine v, given that -2/9 + 556/9*v + 62*v**2 = 0.
-1, 1/279
Let n(k) be the first derivative of 1/12*k**4 - 4*k + 229 + 1/3*k**3 - 2/3*k**2. Factor n(q).
(q - 2)*(q + 2)*(q + 3)/3
Let w(t) = 59*t - 75. Let f be w(1). Let o(i) = i + 18. Let r be o(f). Factor 3/2 - 3/2*l**r + 0*l.
-3*(l - 1)*(l + 1)/2
Let g(o) be the first derivative of 32/21*o**3 - 2/7*o**4 + 1/21*o**6 - 6/35*o**5 + 47 - 32/7*o + 0*o**2. Let g(t) = 0. Calculate t.
-2, -1, 2
Let d(r) be the second derivative of r**4/90 + r**3/9 + 4*r**2/15 - 1574*r. Factor d(g).
2*(g + 1)*(g + 4)/15
Let t = -138 + 168. Factor 147 + t*k - 42*k - 19*k + 12*k**2 - 53*k.
3*(2*k - 7)**2
Suppose -193*n - 684 = -192*n. Let y be (21/9)/((-24)/n). Factor 147/2*t**3 - 2 - y*t**2 + 20*t.
(3*t - 1)*(7*t - 2)**2/2
What is o in 289/8 - 17/4*o + 1/8*o**2 = 0?
17
Let t(w) = -2*w**2 + 19*w - 23. Let a be t(11). Let x be 12/a + 2/(-4) + 1. Determine r, given that 2/7*r**3 + 0*r + 0 + x*r**2 = 0.
-1, 0
Let k(p) be the second derivative of -2/15*p**6 + 67*p + 16/3*p**3 + 2*p**4 + 0 + 0*p**5 + 6*p**2. Let k(d) = 0. Calculate d.
-1, 3
Suppose 2*x = -d + 15, -52 = -3*d - 39*x + 40*x. Let q(s) be the second derivative of 0 - 1/4*s**4 + 0*s**2 + d*s + s**3. Factor q(f).
-3*f*(f - 2)
Let d(g) be the second derivative of 3/100*g**5 - 1/10*g**3 + 60*g + 2 + 3/2*g**2 - 1/4*g**4. Factor d(j).
3*(j - 5)*(j - 1)*(j + 1)/5
Suppose 4266 = 6*d + 4254. Suppose 2/5*t**d + 392/5 - 56/5*t = 0. Calculate t.
14
Let d = 1285 + -24417/19. Let r = d - -25/57. Solve 2/3*v**3 + v**5 + r - 7/3*v**4 + 2*v**2 - 5/3*v = 0.
-1, 1/3, 1
Factor 0 + 7/5*i**2 - 1/5*i**4 - 6/5*i + 0*i**3.
-i*(i - 2)*(i - 1)*(i + 3)/5
Let b(v) be the third derivative of 0*v**3 - 9/4*v**4 + 3/10*v**5 - 88*v**2 + 0*v + 1/20*v**6 - 1/105*v**7 + 0. Determine r so that b(r) = 0.
-3, 0, 3
Let l(x) be the first derivative of -1/4*x**2 - 1/3*x - 32 + 1/4*x**4 + 5/18*x**3. Let l(r) = 0. Calculate r.
-1, -1/2, 2/3
Let r(w) be the second derivative of w**5/20 + 79*w**4/12 - 164*w**3/3 + 166*w**2 - 2*w + 267. Factor r(g).
(g - 2)**2*(g + 83)
Let d(a) = 746*a + 750. Let i(h) = h**2 - 3728*h - 3751. Let v(m) = -11*d(m) - 2*i(m). Factor v(l).
-2*(l + 1)*(l + 374)
Let b be ((-16)/(-20))/(14/35). Determine q, given that 110*q**b - 229*q**2 - 40*q + 120*q**2 + 400 = 0.
20
Let s(y) be the third derivative of -y**6/72 - 5*y**5/4 - 33*y**3/2 + 41*y**2 - 2*y. Let m(n) be the first derivative of s(n). Solve m(h) = 0.
-30, 0
Let u = -4777/203 + -374/29. Let k = -240/7 - u. What is b in k*b - 18/7 + 3/7*b**2 = 0?
-6, 1
Let -2/5*c**2 - 342/5 + 344/5*c = 0. Calculate c.
1, 171
Suppose 17144 - 16744 = 200*z. Find m such that 8/3*m**z - 1/3*m**5 - 1/3*m + 2/3*m**3 - 4/3 - 4/3*m**4 = 0.
-4, -1, 1
Suppose 139*n - 279 = 138. Let f(i) be the first derivative of -21 - 1/5*i**n - 3/20*i**4 - 9/5*i + 3/2*i**2. Suppose f(b) = 0. What is b?
-3, 1
Factor -48*k**2 - 966*k + 4*k**4 - k**4 - 40*k**3 + 5*k**4 - 12*k**4 + 1254*k.
-4*k*(k - 2)*(k + 6)**2
Let f(o) be the second derivative of -3*o**5/40 - 35*o**4/4 - 323*o**3 - 1734*o**2 + 60*o - 3. Suppose f(r) = 0. What is r?
-34, -2
Let g(m) be the third derivative of 1/60*m**5 - 39*m**2 - 1/24*m**4 - 1/840*m**7 + 1/480*m**6 + 0 + 0*m + 0*m**3. Factor g(o).
-o*(o - 2)*(o - 1)*(o + 2)/4
Suppose -5*f = -4*d - 6, 4*f + 8*d = 7*d + 9. Suppose 260*q = 259*q + f. Factor -2/3 - 7/6*p + 1/6*p**3 - 1/3*p**q.
(p - 4)*(p + 1)**2/6
Let k(d) = -45*d**3 + 49*d**2 - 179*d - 138. Let b(o) = -104*o**3 + 98*o**2 - 357*o - 274. Let p(h) = 3*b(h) - 7*k(h). Determine r so that p(r) = 0.
-2/3, 8, 9
Let o(v) be the first derivative of -v**4/4 - 452*v**3/3 - 51525*v**2/2 - 101250*v - 1618. Solve o(u) = 0.
-225, -2
Let 3/7*c**5 - 27/7*c**4 + 108/7*c + 0 + 27/7*c**2 - 111/7*c**3 = 0. Calculate c.
-3, -1, 0, 1, 12
Let n(k) be the first derivative of -19/12*k**3 - 5/2*k**4 + 27 - 1/4*k**2 + 5/4*k**5 + 0*k. Factor n(i).
i*(i - 2)*(5*i + 1)**2/4
Let w(y) be the first derivative of 2*y**5/75 + 33*y**4/10 + 388*y**3/45 - 2342. Find h, given that w(h) = 0.
-97, -2, 0
Let h = -4364 - -4368. Let d(l) be the first derivative of 4*l**2 + 0*l**h + 4/5*l**5 - 10 - 4*l**3 + 0*l. Factor d(c).
4*c*(c - 1)**2*(c + 2)
Let n = -240078 - -240278. Find r such that -2/9*r**2 - 40/3*r - n = 0.
-30
Let f = 5/2486 - -4947/12430. Factor -2/5 + f*z**2 + 0*z.
2*(z - 1)*(z + 1)/5
Factor 28 + 2019*m - 54 - 7*m**2 - 44 - 1772*m.
-(m - 35)*(7*m - 2)
Solve -121/5 + 1/10*r**3 - 12/5*r**2 + 33/2*r = 0.
2, 11
Let i = -4075 - -24276. Solve -2*d**2 - 28*d**3 - 8*d - 20193*d**4 + i*d**4 + 30*d**2 = 0 for d.
0, 1/2, 1, 2
Let q = 406 + -383. What is f in -5*f**4 - 18*f - 4*f**2 - 38*f**3 + q*f**3 + 5*f**5 + 28*f + 9*f**2 = 0?
-1, 0, 1, 2
Solve 1/2*n**2 + 13/2*n - 84 = 0.
-21, 8
Let g = 15 + -10. Suppose 5 = -g*x - 0*x - 5*h, 4*x - 11 = -h. Solve 8/9*p**x + 2/9*p - 8/9*p**3 - 4/3*p**2 + 2/3*p**5 + 4/9 = 0 for p.
-1, 2/3, 1
Let y(j) = j**3 - j**2 - 29*j + 72. Let t be y(4). What is x in -10/3*x**5 + 32/3*x + 34/3*x**t - 8/3 - 26/3*x**2 - 22/3*x**3 = 0?
-1, 2/5, 1, 2
Let o(m) = m**2 + 11*m - 27. Let a be o(-13). Let n be (2/5*a)/(2/(-100)). Factor 10*u + 11*u + u**2 + 3 + 3*u - n*u.
(u + 1)*(u + 3)
Suppose -u**2 - 18*u + 40*u**2 + 58*u - 99*u**2 - 5*u**4 + 30*u**3 = 0. Calculate u.
0, 2
Let z(h) be the third derivative of 0*h**6 - 1/12*h**4 + 36*h**2 - 1/8*h**3 - 1/40*h**5 + 1/840*h**7 + 0*h + 0. Solve z(l) = 0 for l.
-1, 3
Suppose -4*g + 5*i = -9*g + 240, 4*g = i + 197. Suppose 8 = 19*l - g. Suppose -1/6*r**l + 1/2*r**2 + 1/6 - 1/2*r = 0. Calculate r.
1
Suppose -25*p + 34*p + 2 = 38. Let d(i) be the second derivative of 1/42*i**p + 0 + 4/21*i**3 + 7*i + 3/7*i**2. Factor d(n).
2*(n + 1)*(n + 3)/7
Let q(t) be the second derivative of 41/16*t**4 - 3*t**2 - 55/12*t**3 + 2 + 11/80*t**5 - t. Suppose q(f) = 0. What is f?
-12, -2/11, 1
Let s(d) = -45*d**2 - 19*d - 7. Let a be s(5). Let h = a - -1229. Factor x**3 + 0 + 0*x - 1/4*x**4 - 3/4*x**h.
-x**2*(x - 3)*(x - 1)/4
Factor -129*p - 25*p + 44*p**2 - 6*p - 42*p**2 + 3200.
2*(p - 40)**2
Let d = 977685 - 977680. Let 92/9*i**2 + 44/9*i**3 - 28/9*i**4 - 64/9 - 40/9*i - 4/9*i**d = 0. What is i?
-8, -1, 1, 2
Let q = 749 + -744. Let -44*k**2 + 2*k**4 + q*k + 787*k - 50*k**3 + 79*k**3 + 810 - 53*k**3 = 0. Calculate k