*2 + 146*a - 1275. Let s be l(-9). Factor 5/3*g**5 + w*g + 40/3*g**2 + 0 + 10*g**4 + 20*g**s.
5*g**2*(g + 2)**3/3
Let m = -2 + -148. Let g be (-1)/(-2)*(m/(-18) + -7). Factor 0*z - g*z**3 + 0 - 4/3*z**2.
-2*z**2*(z + 2)/3
Let s be -5 + 25/3 + -1 + -5. Let p = s + 41/12. Suppose 1/2 - 7/4*k + p*k**3 + 1/2*k**2 = 0. Calculate k.
-2, 1/3, 1
Let y(t) be the second derivative of -1/66*t**4 + 1/33*t**3 - 99*t + 6/11*t**2 + 0. Factor y(c).
-2*(c - 3)*(c + 2)/11
Let p(b) be the first derivative of -4*b**5 + 6365*b**4/4 - 7930*b**3/3 + 1585*b**2/2 - 4649. Determine g so that p(g) = 0.
0, 1/4, 1, 317
Let k = -1671 + 3349/2. Let c(p) be the first derivative of 2*p**2 + 26 - 1/6*p**3 - k*p. Factor c(g).
-(g - 7)*(g - 1)/2
Let q = 591 - 591. Let p(z) = -49*z + 2. Let a be p(q). Factor 0 + 6/5*x**a - 6/5*x**3 + 0*x.
-6*x**2*(x - 1)/5
Let n(i) be the second derivative of 14 - 49/11*i**2 - 14/33*i**3 - 4*i - 1/66*i**4. Factor n(w).
-2*(w + 7)**2/11
Factor 584 - 4/3*k**2 + 868/3*k.
-4*(k - 219)*(k + 2)/3
Let m = -71 + 41. Let j(y) = -y - 26. Let l be j(m). Solve -4*d**2 - 1/3 - d**l + 10/3*d**3 + 2*d = 0.
1/3, 1
Let z(p) be the second derivative of -3*p**6/50 - 33*p**5/4 - 2149*p**4/60 - 1159*p**3/30 - 89*p**2/5 - 1903*p. Let z(c) = 0. What is c?
-89, -2, -1/3
Let h(o) be the third derivative of o**5/120 - 277*o**4/48 + 275*o**3/6 + 43*o**2 - 47. Factor h(j).
(j - 275)*(j - 2)/2
Let v(x) be the first derivative of 5*x**3/3 + 495*x**2 + 985*x + 770. Factor v(o).
5*(o + 1)*(o + 197)
Let y be 7178/140 - (-4)/(-56). Let m(k) be the first derivative of -32/5*k**2 + 1 + 4/15*k**3 + y*k. Factor m(u).
4*(u - 8)**2/5
Let q(b) be the third derivative of -b**6/170 + 5*b**5/102 + 7*b**4/102 - 2*b**2 - 71*b. Determine s, given that q(s) = 0.
-1/2, 0, 14/3
Let w = 3227/7227 - 5/2409. Factor -w*d + 0 + 38/9*d**2.
2*d*(19*d - 2)/9
Let g(i) = i**4 + 30*i**3 + 21*i**2. Let c(y) = -4*y**4 - 88*y**3 - 68*y**2. Let f(k) = -3*c(k) - 8*g(k). Solve f(x) = 0 for x.
-3, 0
Let u(y) be the first derivative of 50*y - 1/3*y**3 - 167 - 23/2*y**2. Factor u(c).
-(c - 2)*(c + 25)
What is n in -15*n**3 + 810412*n + 14*n**3 - 2562*n**2 - 1480759*n - 1517601*n - 622835864 = 0?
-854
Let w = 179/2 - 88. Let i = -24080 - -24082. Let 3/4 + 3/4*t**i - w*t = 0. Calculate t.
1
Let l be (-48)/(-8) - 25/(-5). Factor -l + 30*u - 3*u**2 - 59 - 2.
-3*(u - 6)*(u - 4)
Let r = 11116/195 - 57. Let s(k) be the second derivative of 2/65*k**5 + r*k**6 + 2/39*k**3 - 9*k + 0*k**2 + 0 + 5/78*k**4. Find j, given that s(j) = 0.
-2, -1, 0
Let t = -67 + 101. Suppose 0 = 3*o - 5*l - t, 5*o + 4 + 1 = -4*l. Solve -5*x**5 + 5*x**4 + 15*x**o - 6*x - x + 17*x - 25*x**2 + 0*x = 0 for x.
-2, 0, 1
Let f(v) be the third derivative of 2*v**7/105 + 2*v**6/15 - 17*v**5/5 + 43*v**4/3 - 80*v**3/3 + 826*v**2. Factor f(x).
4*(x - 4)*(x - 1)**2*(x + 10)
Let o(f) be the first derivative of -9*f**5/25 - 183*f**4/20 + 42*f**3/5 + 4320. Suppose o(k) = 0. What is k?
-21, 0, 2/3
Let i = 177799/2 - 88892. Factor -i + 39/4*a - 3/2*a**2 - 3/4*a**3.
-3*(a - 2)*(a - 1)*(a + 5)/4
Let d(r) be the second derivative of -r**4/30 - 6368*r**3/15 - 10137856*r**2/5 + 5296*r - 1. What is x in d(x) = 0?
-3184
Let l(h) = 4*h**2 - 51*h. Let r(t) = 47*t - 6. Let z(j) = j**2 + 46*j - 8. Let g(i) = -4*r(i) + 3*z(i). Let p(q) = -5*g(q) + 4*l(q). Factor p(d).
d*(d + 46)
Factor -2/7*l**2 - 352/7 + 96/7*l.
-2*(l - 44)*(l - 4)/7
Let -10*y**5 - 16*y**3 + 14797*y - 14941*y + 108*y**2 + 2*y**5 - 82*y**4 + 194*y**3 = 0. What is y?
-12, -1, 0, 3/4, 2
Let q(i) be the second derivative of -i**6/1080 + i**5/90 + 5*i**4/72 - 6*i**3 - i + 7. Let p(m) be the second derivative of q(m). Suppose p(t) = 0. What is t?
-1, 5
Let l(t) be the first derivative of t**3/6 - 467*t**2/4 + 465*t - 3446. Factor l(y).
(y - 465)*(y - 2)/2
Factor -601*x - 584 + 36*x**3 - 280*x**2 - 4*x**3 - 28*x**3 - 267*x.
4*(x - 73)*(x + 1)*(x + 2)
Let k = -255 - -260. Factor -k*h**3 - 64 - 132*h + h**3 - 3055*h**2 + 2983*h**2.
-4*(h + 1)**2*(h + 16)
Let h be 24/(-36) + (3234/(-165))/(-7). Factor -4/15 - 28/15*c**3 - 4/5*c**4 - 6/5*c - 2/15*c**5 - h*c**2.
-2*(c + 1)**4*(c + 2)/15
Suppose -m + 2*o + 18 = 0, 46*m = 50*m + 4*o + 24. Solve -9/2*r - 1/2*r**m - 7 = 0.
-7, -2
Let t(d) = -106*d - 1. Let o be t(-1). Suppose -3*q = -3*i + o, -214 + 39 = -5*i - 5*q. What is h in -2*h + 54*h**3 - 33*h - i*h**2 - 39*h**3 + 15 = 0?
-1, 1/3, 3
Let h be (-85)/51*18/(-15). Factor -70*l**3 - 13*l**3 - 5*l**4 - 172*l**2 - 73*l**h + 13*l**3.
-5*l**2*(l + 7)**2
Let a(m) = -5*m**2 - 58*m - 23. Let k be a(-11). Factor -10 + 1296*j - 25*j**3 + 1302*j + k*j**2 - 2573*j.
-5*(j - 1)*(j + 1)*(5*j - 2)
Let i be -145*(12 + 183/(-15)). Suppose 123 = -i*q + 70*q. Factor 1/9*o**4 - 1/3*o**q - 1/9*o**2 + 1/9*o**5 + 2/9*o + 0.
o*(o - 1)**2*(o + 1)*(o + 2)/9
Let z(a) = -8*a**2 + 14*a**2 - 8*a**2 + a**2. Let m(j) = 20*j**2 - 24*j - 72. Let q(p) = -2*m(p) - 44*z(p). What is k in q(k) = 0?
-6
Let z(u) = -8*u**2 - 2022*u - 2020. Let s(d) = 95*d**2 + 24265*d + 24240. Let n(m) = -3*s(m) - 35*z(m). Factor n(c).
-5*(c + 1)*(c + 404)
Suppose 69*k + 31*k - 14*k - 1950 = 8*k. Suppose -35/4*p**3 + 5/4*p**4 + 45/2*p**2 + 10 - k*p = 0. Calculate p.
1, 2
Let k(f) = -81*f**4 - 126*f**3 + 495*f**2 - 255*f + 165. Let p(v) = 5*v**4 + 8*v**3 - 31*v**2 + 16*v - 10. Let z(w) = -2*k(w) - 33*p(w). Solve z(i) = 0 for i.
-6, 0, 1
Let j(g) be the second derivative of 1156923*g**4/4 - 621*g**3 + g**2/2 - 742*g. Factor j(t).
(1863*t - 1)**2
Let h(i) be the second derivative of -i**7/147 - i**6/21 - i**5/70 + 13*i**4/42 + 2*i**3/21 - 8*i**2/7 - 1942*i. Determine l so that h(l) = 0.
-4, -2, -1, 1
Let x(z) = z**3 - 11*z**2 + 5*z - 9. Let j be x(11). Suppose 0 = 4*r - 5*r + j. Let 5*w + 7*w - 50*w**2 + r*w**2 = 0. What is w?
0, 3
Factor -87/5*o + 3/5*o**2 + 234/5.
3*(o - 26)*(o - 3)/5
Let l(c) be the third derivative of c**5/20 + 1083*c**4/4 + 1172889*c**3/2 - 4205*c**2. Factor l(b).
3*(b + 1083)**2
Suppose 4/3 - 61/6*o**2 - 121/3*o = 0. Calculate o.
-4, 2/61
Let k(a) be the first derivative of 77*a**4/4 + 835*a**3 - 592*a**2 + 132*a + 1307. Determine z, given that k(z) = 0.
-33, 2/11, 2/7
Let s(n) = n**4 + 501*n**3 + 1946*n**2 - 1539*n - 8778. Let w(b) = b**4 + b**3 - 2*b**2 + b - 2. Let j(o) = s(o) + 3*w(o). Find x, given that j(x) = 0.
-122, -3, 2
Let i = 676 - 662. Let x be 28/12*10/i + -1. Factor 0 - 8/3*u**2 + 4*u**3 + x*u**5 + 2/3*u - 8/3*u**4.
2*u*(u - 1)**4/3
Let a(f) be the second derivative of 5*f**6/2 + 81*f**5/2 + 429*f**4/4 + 110*f**3 + 54*f**2 + 8*f + 198. Suppose a(o) = 0. What is o?
-9, -1, -2/5
Let z(c) be the third derivative of -c**5/360 + 43*c**4/36 + 175*c**3/12 + 1716*c**2. Factor z(l).
-(l - 175)*(l + 3)/6
Let b(w) be the second derivative of w**5/60 + 53*w**4/18 - 218*w**3/9 + 220*w**2/3 + 2178*w. Solve b(h) = 0 for h.
-110, 2
Let p(f) be the third derivative of f**8/168 - 167*f**7/315 - 761*f**6/180 - 1129*f**5/90 - 329*f**4/18 - 40*f**3/3 + 1143*f**2 - f. What is y in p(y) = 0?
-2, -1, -1/3, 60
Let p(n) be the third derivative of -n**8/224 - n**7/140 + n**6/80 + n**5/40 - 2*n**2 - 1373*n - 2. Factor p(i).
-3*i**2*(i - 1)*(i + 1)**2/2
Let y be 101/12 - 16*(-24)/1152. Let p(n) be the first derivative of 15*n + y*n**2 + 47 + 5/6*n**3. Factor p(t).
5*(t + 1)*(t + 6)/2
Let s(i) be the first derivative of 1/7*i**3 - 12/7*i + 0*i**2 - 28. Let s(g) = 0. Calculate g.
-2, 2
Factor -85000*z**2 - 11*z + 84944*z**2 + 99*z - z**3 + 223*z + 366.
-(z - 6)*(z + 1)*(z + 61)
Let m(x) be the second derivative of x**7/112 + 3*x**6/16 + 21*x**5/32 - 15*x**4/32 - 9*x**3/4 + 3*x - 948. Suppose m(l) = 0. What is l?
-12, -3, -1, 0, 1
Let v(s) = -s**2 - 14*s - 11. Let t be v(-13). Suppose -6*n - 3 = -8*n + r, 0 = -4*n - 4*r + 12. Factor 62*k**n - 29*k**t - 30*k**2.
3*k**2
Let w(l) = -8*l**3 + 60*l**2 - 950*l + 1682. Let t(z) = z**3 - z. Let b(k) = 21*t(k) + 3*w(k). Solve b(r) = 0.
2, 29
Let z = 367409 + -1102201/3. Solve 77/3*a - a**2 + z = 0 for a.
-1/3, 26
Let g(d) be the third derivative of -d**7/140 - 19*d**6/80 - 29*d**5/10 - 71*d**4/4 - 60*d**3 + 42*d**2 - 15. Determine a so that g(a) = 0.
-10, -4, -3, -2
Let k = 482 + -461. Factor k - 4 - 29 + 3*n**2.
3*(n - 2)*(n + 2)
Let y be 13/(-39)*8*(-16)/(6688/33). Factor y - 66/19*v + 140/19*v**2.
2*(5*v - 2)*(14*v - 1)/19
Let p