et p(t) be the third derivative of -2/15*t**5 - 23*t**2 + 5/3*t**3 + 0*t + 1/10*t**6 - 1/105*t**7 + 0 - 1/2*t**4. Factor p(i).
-2*(i - 5)*(i - 1)**2*(i + 1)
Let n(j) be the first derivative of 1/5*j**2 + 53 - 2/5*j**3 + 0*j - 2/25*j**5 + 3/10*j**4. Factor n(r).
-2*r*(r - 1)**3/5
Let x(j) = -j**2 - j - 1. Let h(o) = -o**2 - 39*o - 3. Let q(u) = h(u) - 3*x(u). Factor q(t).
2*t*(t - 18)
Let n(y) be the third derivative of -y**5/80 - 25*y**4/32 - 21*y**3/2 + 5*y**2 + 8*y. Factor n(a).
-3*(a + 4)*(a + 21)/4
Suppose 4*n = 3*p - 8, 4*n = 4*p - 6 - 10. Suppose p*d - 25 = -9. Factor 3/2*u**3 + 1 - 3/2*u - u**d.
(u - 1)*(u + 1)*(3*u - 2)/2
Let s = 59168 - 414170/7. Find l, given that s*l**2 - 54/7*l + 0 = 0.
0, 9
Suppose -9*a + 15 = -4*a + 2*m, -4*a + 3*m = -12. Suppose 2*j - a*b - 12 = 0, 0*b + 4 = -5*j - b. Suppose -2/9*p**2 + j*p + 0 = 0. What is p?
0
Let q(g) be the first derivative of -25 + 5/4*g**4 - 25/2*g**2 - 35/3*g**3 + 375*g. Factor q(t).
5*(t - 5)**2*(t + 3)
Let m(t) = 5*t**2 + 85*t + 304. Let y be m(-5). Let p(x) be the second derivative of 25/6*x**3 - 5/12*x**y + 14*x + 0 - 15*x**2. Solve p(d) = 0 for d.
2, 3
What is s in 0*s + 0*s**4 + 0 - 6*s**2 - 13/2*s**3 + 1/2*s**5 = 0?
-3, -1, 0, 4
Let m(j) be the third derivative of j**8/168 - 13*j**7/105 + 47*j**6/60 - 23*j**5/30 - 4*j**4 + 12*j**3 + 6*j**2 - 198*j. Solve m(i) = 0 for i.
-1, 1, 6
Let i be 13*(-44 + 21 - -22) + 276/21. Solve 5/7 - 5/7*a**2 - i*a + 1/7*a**3 = 0.
-1, 1, 5
Let m = 630 + -628. Suppose 5*y - 3*t = -32 + 182, 22 = y + t. Factor 14*j + 6*j**m + y - j**2 - 4*j - 22.
5*(j + 1)**2
Let f be (-1536)/(-8)*(-1 + 0)*2. Let q = 387 + f. Determine t so that -2/5*t**2 - 3/5 + t**4 + 7/5*t - 1/5*t**5 - 6/5*t**q = 0.
-1, 1, 3
Let h(c) = -4*c**2 + 43*c - 6. Let a(y) = 9 + 43*y - 2 - 3*y**2 + 7 - 2*y**2 - 22. Let v(k) = -3*a(k) + 4*h(k). What is o in v(o) = 0?
0, 43
Let v = -176 - -178. Factor -9*b**v - b**3 - 23*b**2 + 31*b**2.
-b**2*(b + 1)
Let h be (-13 - -2) + 8 + (3 - 0). Let i(t) be the third derivative of -1/540*t**5 + h*t**4 - 1/270*t**6 + 0*t**3 - 19*t**2 + 0*t + 0. Let i(p) = 0. What is p?
-1/4, 0
Let q be 5940/(-11970) + -2*1/(-7). Let d = q - -134/95. Determine t so that 3/5*t - 3/5*t**3 + 9/5*t**2 - d - 3/5*t**4 = 0.
-2, -1, 1
Let k(p) be the third derivative of -p**8/1680 - 2*p**7/315 + p**6/36 - 2*p**4 + 2*p**2 - 4*p. Let r(z) be the second derivative of k(z). Solve r(n) = 0 for n.
-5, 0, 1
Let q = -7337 - -7341. Let j(s) be the third derivative of 28*s**2 + 0 + 7/20*s**6 + 3/20*s**5 + 0*s + 0*s**3 + 19/70*s**7 + 1/14*s**8 + 0*s**q. Factor j(p).
3*p**2*(p + 1)**2*(8*p + 3)
Let u be (-5 - -9)/(((-2)/6)/((-42)/126)). Let x(b) be the third derivative of 33*b**2 + 0 + 0*b + 5*b**u - 120*b**3 - 1/12*b**5. Suppose x(o) = 0. Calculate o.
12
Let h(q) be the first derivative of -q**7/70 + q**6/320 + 3*q**2 + q + 34. Let o(p) be the second derivative of h(p). What is b in o(b) = 0?
0, 1/8
Let w(k) = -5*k**2 - 1482*k - 263550. Let l(p) = -p**2 - 10*p - 4. Let r(c) = 3*l(c) - w(c). Factor r(v).
2*(v + 363)**2
Let p(z) = -9*z + 162. Let y be p(18). Suppose 4*b + 3 + 2 = -5*h, h + b + 2 = y. Factor 2/5 + 2/5*d**h - 2/5*d - 2/5*d**2.
2*(d - 1)**2*(d + 1)/5
Suppose 21*u = 190 - 43. Let i(p) = -5*p**2 - 300*p - 4497. Let y(x) = -10*x**2 - 600*x - 8993. Let t(l) = u*i(l) - 3*y(l). Determine j, given that t(j) = 0.
-30
Let x(h) = -2*h - 14. Let u be x(-9). Suppose u*a = -7*r + 3*r + 320, r = a - 70. Factor 36*v - 3*v**2 + 3*v**4 + 12 - 33*v**2 + a*v**2 + 18*v**3.
3*(v + 1)**2*(v + 2)**2
Suppose -i + 63 = 2*k - 3, 0 = -k + 2*i + 23. Suppose 2*d = g - 6*g + k, -g + 14 = 3*d. Factor -7/3 - 1/3*r**d + 13/3*r - 5/3*r**2.
-(r - 1)**2*(r + 7)/3
Let -35*u**5 - 1205*u**3 + 258*u**4 + 250 + 2185*u**2 + 15*u**5 + 7*u**4 - 1383*u - 92*u = 0. Calculate u.
1/4, 1, 2, 5
Let i(s) be the third derivative of s**7/735 - s**6/21 - 43*s**5/210 - 11*s**4/42 - 850*s**2. Let i(d) = 0. What is d?
-1, 0, 22
Let w(s) = -s**2 - 27*s + 12. Let a be w(-27). Let j be ((-18)/40)/(a/(-10)). Determine m so that 0 + 3/8*m**3 + 3/2*m**4 - 3/2*m**2 - j*m = 0.
-1, -1/4, 0, 1
Factor 2520*b**2 + 59765 + 1528 + 14753 + 88*b**3 - 489 + 50667 + b**4 + 29792*b.
(b + 14)**3*(b + 46)
Let r(h) = -3*h**2 + 15*h + 18. Suppose 126 = 79*f - 72*f. Suppose 3*j = -0*j + f. Let w(o) = 2*o**2 - 7*o - 9. Let x(a) = j*r(a) + 10*w(a). Factor x(t).
2*(t + 1)*(t + 9)
Let g be -3 + (-66)/9 + 99/(45/5). Factor -2/3*r**3 + 2/3*r - 2/3*r**4 + g*r**2 + 0.
-2*r*(r - 1)*(r + 1)**2/3
Let v(c) be the second derivative of c**7/56 - c**6/40 - 9*c**5/16 + 25*c**4/16 + 7*c**3/4 - 9*c**2 - 142*c. Suppose v(x) = 0. What is x?
-4, -1, 1, 2, 3
Let y(i) be the first derivative of i**9/6804 - i**8/756 + i**7/270 - i**6/270 - 3*i**3 - 60. Let q(x) be the third derivative of y(x). Factor q(n).
4*n**2*(n - 3)*(n - 1)**2/9
Suppose -65*g + 210 = -115. Let f(l) be the third derivative of 6*l**2 + 2*l**3 - 2/3*l**4 + 7/60*l**g - 1/120*l**6 + 0 + 0*l. Solve f(y) = 0 for y.
2, 3
Let p(j) = -4*j + 48. Let b be p(-8). Suppose -12*s = 4*s - b. Find m, given that 373*m**3 - 335*m**3 - 558*m**3 + 60*m**4 + 320 + 720*m + 45*m**s = 0.
-4, -2/3, 2
Let q(a) = 12*a**3 + 190*a**2 - 974*a + 1008. Let o be (-8 - (-2 + 8))*2/4. Let j(p) = 4*p**3 + 64*p**2 - 324*p + 336. Let g(u) = o*j(u) + 2*q(u). Factor g(v).
-4*(v - 2)**2*(v + 21)
Suppose 31*j - 30*j = c - 5, -5*j - 22 = -4*c. Suppose -4*u - 25*y = -26*y - 5, 3*u = -c*y - 15. Determine p so that 2*p**2 - 2*p - 1/2*p**4 + 1/2*p**3 + u = 0.
-2, 0, 1, 2
Let 2632/19 + 2630/19*r - 2/19*r**2 = 0. Calculate r.
-1, 1316
Let l be ((-12)/(-14))/((-6)/(-28)). Suppose 5*x - 25 + 45 = -4*v, -2*v = -x - l. Solve -j + 3/2*j**2 - 1/2*j**3 + v = 0.
0, 1, 2
Suppose -5*q + 4*m = 26, 2386*q - 41 = 2388*q - 5*m. Factor 242/13 + 2/13*y**q + 44/13*y.
2*(y + 11)**2/13
Let y(l) = l**3 + 10*l**2 + 11*l + 18. Let z be (-48)/5 + (-6)/(-10). Let j be y(z). Factor 3 - 6*r + 9*r + r**2 + j*r**2 - 1.
(r + 1)*(r + 2)
Factor -441/8 - 651/8*o - 6*o**3 - 39*o**2.
-3*(o + 3)*(4*o + 7)**2/8
Let i = 637875 + -637870. Determine s, given that -1/2 - 3/8*s**4 + 7/8*s**2 + 0*s - 1/8*s**i + 1/8*s**3 = 0.
-2, -1, 1
Suppose -66 = -43*h + 63. Factor -5*d**2 - 10*d**4 + 0*d**2 + d**2 - h*d**5 + 239*d - 11*d**3 - 239*d.
-d**2*(d + 1)**2*(3*d + 4)
Suppose 11*j - 14982 = -0*j. Let d be (-2 + 1)/1 - (-3178)/j. Factor d*n + 8/3 - 4/3*n**2.
-4*(n - 2)*(n + 1)/3
Let t(m) be the third derivative of m**5/480 + m**4/192 - m**3/24 + 211*m**2. Let t(u) = 0. What is u?
-2, 1
Let u(w) be the third derivative of 1/525*w**7 + 2/15*w**6 + 0*w**4 + 0*w**5 + 0*w**3 + 0*w - 187*w**2 + 0. Factor u(b).
2*b**3*(b + 40)/5
Let m(c) be the second derivative of -7/5*c**5 + 2/15*c**6 + 0*c**2 + 0*c**3 - 57*c + 4*c**4 - 1. Factor m(q).
4*q**2*(q - 4)*(q - 3)
Let u(m) be the first derivative of -19/3*m**3 + 0*m - 30 + m**2. Find x such that u(x) = 0.
0, 2/19
Let l(f) be the first derivative of f**6/21 - 5*f**4/7 + 9*f**2/7 - 478. Find b such that l(b) = 0.
-3, -1, 0, 1, 3
Suppose o + 1 = -2*k, 3*k + 3446 = -5*o + 3420. Factor -3/7*u**5 + 0 + 36/7*u**2 + 6*u**4 - 75/7*u**k + 0*u.
-3*u**2*(u - 12)*(u - 1)**2/7
Let -441*g - 285 - 222/5*g**2 + 474/5*g**3 - 81/5*g**4 + 3/5*g**5 = 0. Calculate g.
-1, 5, 19
Suppose -108*r + 219 = -105. Let d(k) be the first derivative of 72*k + 2/3*k**r - 12*k**2 + 1. Factor d(w).
2*(w - 6)**2
Suppose -27*w + 41 + 13 = 0. Factor 6 + 4*k**2 - 9*k + 0*k - k**w.
3*(k - 2)*(k - 1)
Suppose -11*r - 4*r = -45. Let v be 30/40 + -2*r/8. Factor 12*a**3 + v*a**2 + 18/5*a**5 + 12*a**4 - 6*a - 12/5.
6*(a + 1)**4*(3*a - 2)/5
Factor -4452/5*y + 2477538/5 + 2/5*y**2.
2*(y - 1113)**2/5
Let y(t) be the second derivative of t**6/180 - t**5/60 - 7*t**4/72 - t**3/9 - 65*t + 17. Suppose y(l) = 0. Calculate l.
-1, 0, 4
Factor -2/5*f**3 - 12/5 + 26/5*f - 14/5*f**2 + 2/5*f**4.
2*(f - 2)*(f - 1)**2*(f + 3)/5
Suppose -g + 148 + 50 = 0. Let m be ((-1)/3)/((-11)/g). Determine z so that 5*z - 8*z + 5*z**2 - 2 - m*z**2 = 0.
-2, -1
Let b(n) = 480*n**2 + 5*n - 10. Let w be b(2). Let a = w - 3839/2. Determine y, given that 3/2*y**3 + a + 5/2*y + 7/2*y**2 = 0.
-1, -1/3
Let i be ((-64042)/(-410))/71 - (-4)/(20/(-11)). Suppose 0 - 2/15*v**2 + i*v - 2/15*v**3 = 0. What is v?
-1, 0
Let y(g) = -2*g**2 - 15*g + 23. Let q(t) =