f b**4/16 + 173*b**3/12 - 1157. Factor x(w).
w**2*(w + 173)/4
Let w(r) be the third derivative of -r**7/5040 - r**6/720 + r**4/36 + 68*r**3/3 + 7*r**2 - 1. Let g(a) be the first derivative of w(a). What is i in g(i) = 0?
-2, 1
Factor -18*d - 237*d**3 - 13*d**4 + 0*d**4 + 145*d**3 - 2*d**4 - 21*d**2 - 126*d**2.
-d*(d + 3)**2*(15*d + 2)
Let r(s) be the second derivative of -s**4/72 + 43*s**3/36 - 95*s**2/6 - 3517*s. Factor r(l).
-(l - 38)*(l - 5)/6
Let n(t) be the first derivative of -t**6/30 - 29*t**5/15 - 80*t**4/3 + 512*t**3 - 197*t**2/2 - 35. Let x(q) be the second derivative of n(q). Factor x(y).
-4*(y - 3)*(y + 16)**2
Let i be 2040/3264 - (-20)/64*2. Factor i*c**2 + 0 + 15/4*c.
5*c*(c + 3)/4
Let b(z) be the first derivative of z**5/690 + 35*z**4/276 + 34*z**3/69 - 181*z**2/2 + 13. Let j(d) be the second derivative of b(d). What is c in j(c) = 0?
-34, -1
Let f be ((-4845)/(-225) - 21)/((-8)/(-6) + -1). Let f - 6/5*w + 1/5*w**2 = 0. Calculate w.
2, 4
Let m = -881 - -729. Let g = 155 + m. Factor 0 - 2/13*u**2 + 0*u - 6/13*u**4 + 8/13*u**g.
-2*u**2*(u - 1)*(3*u - 1)/13
Let n(s) = 14*s + 19. Let o be n(-2). Let y(z) = -5*z - 43. Let v be y(o). Solve 0 - 9/5*l**v - 6/5*l**3 + 3/5*l**4 + 0*l = 0.
-1, 0, 3
Let z(d) be the third derivative of -d**5/510 + 11*d**4/102 - 40*d**3/51 - 37*d**2 - 14*d. Find r such that z(r) = 0.
2, 20
Suppose 291645*x + 16 = 291649*x. Let 0*l + 0*l**2 + 1/3*l**3 - 1/3*l**x + 0 = 0. What is l?
0, 1
Let n(c) be the first derivative of -c**3 + 597*c**2/2 - 594*c + 756. Factor n(j).
-3*(j - 198)*(j - 1)
Let v(z) be the second derivative of z**7/84 + z**6/15 - 23*z**5/40 - z**4/12 + 19*z**3/3 - 14*z**2 + 1165*z. Solve v(n) = 0.
-7, -2, 1, 2
Let i be 4/(-64)*-1 + ((-20115)/3120 - -7). Factor -i*v**2 - 8/13*v**4 - 2/13*v - 12/13*v**3 - 2/13*v**5 + 0.
-2*v*(v + 1)**4/13
Let o(w) = 2*w - 12. Let i be o(6). Suppose -8*l + i*l = -16. Factor j - j + j**2 - 5*j**l.
-4*j**2
Let v = 3191/5 + -26373/40. Let q = -83/4 - v. Factor -q*s**2 - 3/4*s + 9/8.
-3*(s - 1)*(s + 3)/8
Let k be -4594*2*3/(-12). Suppose -k*l**2 + 2299*l**2 - 2*l - 11*l + 51*l = 0. What is l?
-19, 0
What is z in -248 + 292 + 42*z - 46*z**2 - 2423*z**4 + 2425*z**4 - 42*z**3 = 0?
-1, 1, 22
Let w = 3007 + -3005. Let v(j) be the third derivative of 0*j + 2/3*j**4 - 1/10*j**6 - j**w + 0 + 8/3*j**3 - 1/3*j**5. Let v(n) = 0. Calculate n.
-2, -2/3, 1
Let r be (1392/(-7308))/(4*5/(-70)). Suppose -4*x + 11 + 2 = -m, -4*x = -5*m - 33. What is t in -2/3*t - r*t**x + 0 = 0?
-1, 0
Let h = -1460 - -823. Let t = 641 + h. Factor 10/13*m**t + 0*m + 0 + 8/13*m**2 - 2/13*m**5 - 16/13*m**3.
-2*m**2*(m - 2)**2*(m - 1)/13
Suppose 13 = 5*t + 2*q, 10*t - 13*t = q - 8. Factor 36*u + 45 + 3*u**3 + 81*u - t*u**2 - 7*u**2 - 23*u**2 - 180.
3*(u - 5)*(u - 3)**2
Let f(c) be the first derivative of -c**4/24 - 55*c**3/18 - 79*c**2/6 - 52*c/3 - 4939. Suppose f(u) = 0. What is u?
-52, -2, -1
Let l(p) = 4 + 13 - 23 - 20 - 42 + 3*p. Let m be l(24). Determine o, given that 0 - 2/3*o**2 + 1/3*o + 2/3*o**m + 0*o**3 - 1/3*o**5 = 0.
-1, 0, 1
Factor -4/3*a**4 + 0 + 2/21*a**5 + 24/7*a - 8*a**2 + 122/21*a**3.
2*a*(a - 6)**2*(a - 1)**2/21
Let b(s) be the third derivative of -1/2*s**3 - 253*s**2 + 1/4*s**5 + 0 + 0*s + 1/2*s**4. Suppose b(v) = 0. Calculate v.
-1, 1/5
Suppose 6*w - 5*w = -25. Let h = w - -34. Factor -4*n**3 + 6 - h + 3.
-4*n**3
Let l(g) be the first derivative of -4/5*g**5 - 44/3*g**3 + 48*g - 13*g**4 - 62 + 26*g**2. What is j in l(j) = 0?
-12, -1, 1
Factor 0 - 2/5*f - 1/5*f**2 + 1/5*f**3.
f*(f - 2)*(f + 1)/5
Find t such that 64 - 1/3*t**3 - 2*t**2 + 88/3*t = 0.
-12, -2, 8
Let v = 20239 + -20226. Let i(z) be the second derivative of 1/21*z**4 - 1/35*z**5 + 0*z**2 - v*z + 0 + 4/21*z**3. Factor i(o).
-4*o*(o - 2)*(o + 1)/7
Let r(y) = 6*y**5 - 132*y**4 + 2238*y**2 - 5847*y + 4329. Let d(b) = -3*b**5 + 67*b**4 - 1118*b**2 + 2923*b - 2165. Let m(h) = -9*d(h) - 5*r(h). Factor m(u).
-3*(u - 18)*(u - 2)**3*(u + 5)
Let o(s) = -s**2 - 3*s. Let h(g) = -4*g**2 - 52*g + 34. Let z(j) = h(j) - o(j). Factor z(t).
-(t + 17)*(3*t - 2)
Let k(x) be the third derivative of -19*x**6/360 - 5699*x**5/180 - 17800*x**4/3 + 1250*x**3 - 10458*x**2. Suppose k(h) = 0. Calculate h.
-150, 1/19
Suppose -1/7*u**3 - 492/7 - 496/7*u - 127/7*u**2 = 0. Calculate u.
-123, -2
Let l = -10385/132 + 315/4. Let y(k) be the third derivative of 1/330*k**5 + 0*k - 21*k**2 - l*k**4 + 0 + 25/33*k**3. Suppose y(n) = 0. Calculate n.
5
Let p(j) be the third derivative of 0*j**3 + 1/280*j**8 + 4/75*j**5 + 0*j - 1/50*j**6 + 1/20*j**4 - 8/525*j**7 + 11*j**2 + 1. What is w in p(w) = 0?
-1, -1/3, 0, 1, 3
Let v be 3/((-9)/(-159))*(-1 + 6). Find b, given that 140*b**2 - 35 - v - 92*b**2 + 6*b**4 + 39*b**3 - 120*b**2 - 645*b = 0.
-5, -1/2, 4
Determine c so that -3*c**3 - 2*c**3 + 1 + 38 + 75 - 275*c + 21 + 145*c**2 = 0.
1, 27
Let l(b) be the second derivative of b**6/180 - b**5/120 - 5*b**4/36 + b**3/9 + 2*b**2 - 898*b. Factor l(h).
(h - 3)*(h - 2)*(h + 2)**2/6
Let b(g) be the second derivative of 2*g**7/21 - 28*g**6/15 + 69*g**5/5 - 140*g**4/3 + 200*g**3/3 + 3*g + 130. Let b(w) = 0. What is w?
0, 2, 5
Factor 1/4*k**3 - 105/4*k**2 + 2703/4*k + 2809/4.
(k - 53)**2*(k + 1)/4
Let l = 28 + -26. Suppose 197*u - 193*u = 100. Factor u - d + 62*d + 36*d**l + 0*d - d.
(6*d + 5)**2
Factor 404/9*i + 2/9*i**3 - 406/9*i**2 + 0.
2*i*(i - 202)*(i - 1)/9
Factor -6*d + 64/11 + 2/11*d**2.
2*(d - 32)*(d - 1)/11
Let w(p) = -346*p - 342. Let v(x) = -2*x**2 - 349*x - 341. Let m(c) = 2*v(c) - 3*w(c). Factor m(j).
-4*(j - 86)*(j + 1)
Let t be (768/(-112))/((4/(-14))/1). Let h be t/(-21)*35/(-50). Factor 0*g**2 + h*g**3 + 0 - 4/5*g.
4*g*(g - 1)*(g + 1)/5
Suppose -293 + 139 = -30*s - 64. What is y in 96/7*y**s - 96/7*y - 572/7*y**2 - 4/7*y**4 + 576/7 = 0?
-1, 1, 12
Factor -242*n**3 + 240*n**3 - 29*n - 15*n**2 - 3*n**2 - 78 + 127*n.
-2*(n - 3)*(n - 1)*(n + 13)
Suppose -3*u + 8*l + 61706 = 3*l, -u = 4*l - 20597. Let -70*v**2 + 3249*v**4 + 73*v**2 + 114*v**3 + 57*v**3 + u*v**5 = 0. Calculate v.
-1/19, 0
Let p(b) be the first derivative of b**3 - 6*b - 36 - 3/2*b**2. Factor p(h).
3*(h - 2)*(h + 1)
Let b(s) = -s**4 - 144*s**3 + 771*s**2 - 1260*s + 638. Let a(g) = -g**4 - 288*g**3 + 1542*g**2 - 2520*g + 1277. Let n(d) = 2*a(d) - 5*b(d). Solve n(f) = 0.
-53, 1, 2
Let m(h) be the first derivative of 8/33*h**3 - 142 + 0*h - 1/22*h**4 - 3/11*h**2. Factor m(r).
-2*r*(r - 3)*(r - 1)/11
Let b be 5 - 133/11 - (86 + -100). Find q, given that 2/11*q**2 + 722/11 - b*q = 0.
19
Let k(t) be the first derivative of t**6/720 + 43*t**5/240 - 11*t**4/12 - 30*t**3 - 122. Let x(j) be the third derivative of k(j). Factor x(r).
(r - 1)*(r + 44)/2
Suppose -260*c = -1423 - 2477. Let q(z) be the first derivative of -1/3*z**6 + c*z**2 + 18*z - 7*z**4 - 4/3*z**3 + 7 - 14/5*z**5. Solve q(v) = 0.
-3, -1, 1
Let x be -1 - 12/20*-5. Find a, given that 3*a**2 + 5*a**2 + 0*a**2 + a**2 + 5041 + 142*a - 8*a**x = 0.
-71
Suppose 0 = -10*u + 6*u + 32. Let p be (1 - 3)/(2 - u). Determine z so that z**4 + 0 - 1/3*z + p*z**2 + 5/3*z**3 = 0.
-1, 0, 1/3
What is s in -150*s + 390*s**3 - 16*s**2 + 4*s**2 - 1274 - 389*s**3 - 165*s = 0?
-7, 26
Let s = 57898 + -522403/9. Let z = 147 + s. Factor -2/3*g - z*g**2 + 8/9.
-2*(g - 1)*(g + 4)/9
Let q(r) = 2*r**2 - 50*r - 29. Let k be q(26). Factor -2*f**4 - 4*f**3 - 19*f - k*f**2 + f + 42*f**2 - 25*f**2 + 14*f**3.
-2*f*(f - 3)**2*(f + 1)
Let i(d) be the third derivative of 0*d + 11*d**4 + 0 - 10*d**3 + 80*d**2 - 31/20*d**5 - 1/10*d**6. Factor i(q).
-3*(q - 2)*(q + 10)*(4*q - 1)
Let b(z) be the third derivative of z**6/24 - z**5/6 - 215*z**4/24 - 100*z**3/3 - 12*z**2 + 34*z. Determine w, given that b(w) = 0.
-5, -1, 8
Let t be ((-63)/35 - -6)*10. Suppose -t*u + 219 = 135. Factor 0*w + 0 + 2/5*w**3 - 4/5*w**u.
2*w**2*(w - 2)/5
Let f(m) = 209*m**2 - 1041*m - 20. Let d be f(5). Let x = 76 + -73. Factor 0*c**2 + 3/2*c**x + d + 0*c + 1/2*c**4.
c**3*(c + 3)/2
Let b(m) be the first derivative of -2*m**6/3 - 16*m**5/5 + 8*m**4 + 56*m**3/3 - 14*m**2 - 40*m + 1483. Suppose b(l) = 0. Calculate l.
-5, -1, 1, 2
Let o = -313 - -318. Factor -110*m + 66 - o*m**2 - 6 + 55*m.
-5*(m - 1)*(m + 12)
Factor -58/11*w**4 - 2/11*w**5 + 1346/11*w**2 - 326/11*w**3 - 1472/11*w + 512/11.
-2*(w - 1)**3*(w + 16)**2/11
Facto