ose -k - v + 56 = -74, 4*k - 488 = 4*v. Find u, given that -129*u**2 - 13*u - 89*u - 99 + k*u**2 = 0.
-33, -1
Let a(m) = m**5 + m**4 + 2*m**3 - m**2 + m + 2. Let i(h) = -7*h**5 - 7162*h**4 - 21454*h**3 - 21438*h**2 - 7147*h - 4. Let v(q) = -2*a(q) - i(q). Factor v(o).
5*o*(o + 1)**3*(o + 1429)
Let z(b) be the first derivative of -5*b**4/4 - 185*b**3/3 - 340*b**2 - 660*b + 1199. Factor z(g).
-5*(g + 2)**2*(g + 33)
Let c = 135/2 - 64. Let r = -164970 - -164971. Suppose -q**3 + 1/2*q**5 - c*q - 4*q**2 - r + q**4 = 0. What is q?
-1, 2
Let g(i) = -2*i**3 + 398*i**2 - 431*i + 6932. Let q be g(198). Suppose -1/4*p**3 + 2*p**q + 5/2 - 17/4*p = 0. Calculate p.
1, 2, 5
Let i = -43 - -52. Let x(w) = -3 + 2 + 6*w + w**3 - 16*w + i*w. Let z(b) = -12*b**3 + 6*b**2 + 21*b - 15. Let l(j) = 9*x(j) + z(j). Factor l(f).
-3*(f - 2)**2*(f + 2)
Solve -110/3*y - 6*y**3 + 1/6*y**4 + 31/2 + 27*y**2 = 0 for y.
1, 3, 31
Let u be (-2870)/(-490) + (-3)/2 + (-138)/(-84). Let w(b) be the first derivative of u*b**2 + 2/3*b**3 + 18*b - 16. Find g, given that w(g) = 0.
-3
Let m(c) = 3*c**2 + 42*c - 41. Let q be m(-15). Suppose 24*f**2 - 2*f**5 + 57*f**2 + 4*f**q - 81*f**2 - 2*f**3 = 0. What is f?
0, 1
Suppose 402 = 7*k + 388. Factor -1225 - 9*g**2 + 27*g + k*g**2 + 6*g**2 - 97*g.
-(g + 35)**2
Let x be 2/21*1 + (-43775)/(-8925). Let j(q) be the third derivative of 0*q**3 - 20*q**2 + 0*q + q**4 + 0 + 1/80*q**6 + 1/5*q**x. Let j(p) = 0. What is p?
-4, 0
Suppose 14*n + 28 = -8*n + 36*n. Let t(m) be the third derivative of -2*m**n - 1/8*m**4 + 0*m - 1/80*m**5 + 0 - 3/8*m**3. Factor t(v).
-3*(v + 1)*(v + 3)/4
Let x = 197 + -194. Factor -126 + 2*s**3 + 62 - 3*s**2 + 66 - s**x - s + 0*s + s**4.
(s - 1)**2*(s + 1)*(s + 2)
Let v(w) be the second derivative of 2 + 34/15*w**6 + 0*w**3 + 9/5*w**5 - 4*w - 5/3*w**4 + 0*w**2 + 2/7*w**7. Find i such that v(i) = 0.
-5, -1, 0, 1/3
Let g = 56 - 51. Suppose -5*s - 40 = -g*k, -4*k + k - 4*s = -3. Find b such that -b**3 + 12*b**2 - 88 + 80 + k*b**3 - 4*b - b**4 - 3*b**4 = 0.
-1, 1, 2
Suppose 20570 + 105555*g - 5*g**3 - 211480*g + 280*g**2 + 101580*g = 0. Calculate g.
11, 34
Let p be (-5)/(40/(-744))*(1 - 0). Suppose 4*z = 2*b - 36, -z = -3*b + 4*b - 27. Determine j so that -p*j + 9 + 3*j**3 + 21 + b*j**2 + 36*j = 0.
-10, 1
Let b(c) = -c**3 + 5*c**2 + 7*c + 4. Let q be b(6). Suppose -14*i - q = -16*i. Factor -10*n**2 + 10 - 20*n**3 - 6*n**i + 10*n + 11*n**5 + 5*n.
5*(n - 2)*(n - 1)*(n + 1)**3
Let j(c) be the second derivative of c**4/48 + 307*c**3/12 + 613*c**2/8 - 12*c - 16. Find u such that j(u) = 0.
-613, -1
Let i(b) = 3*b**3 + b**2 - 17*b - 29. Let v be i(-8). Let o = v - -2733/2. Factor -3/4*m**2 + 0 + o*m.
-3*m*(m - 2)/4
Suppose 4*t = 2*t + 2*l + 10, -5 = -5*l. Find a such that 10*a**2 + 2*a**5 + 10*a**4 + 2*a**4 - 8*a**3 + t*a**3 - 22*a**4 = 0.
-1, 0, 1, 5
Let g = -1497 + 2997/2. Solve 39*v + 9*v**3 + 27/2 + 36*v**2 - g*v**4 = 0.
-1, 9
Let h = -22829/15 - -1522. Let o(f) be the third derivative of -11/12*f**4 - h*f**6 + 6*f**2 + 0*f + 0 - 13/30*f**5 - 2/3*f**3. What is p in o(p) = 0?
-2, -1, -1/4
Let m(h) be the first derivative of -h**6/1080 - h**5/360 + h**4/6 - 139*h**3/3 - 125. Let p(d) be the third derivative of m(d). Factor p(f).
-(f - 3)*(f + 4)/3
Let v(q) be the third derivative of -q**9/98280 + q**8/14560 - q**4/6 + 5*q**3 - 10*q**2 + 3. Let i(o) be the second derivative of v(o). Factor i(n).
-2*n**3*(n - 3)/13
Let j = -183 - -185. Factor 8 + 3*k**2 + 8*k**2 + 18*k - 3*k**4 + j*k**4 + 0.
-(k - 4)*(k + 1)**2*(k + 2)
Let s be 41*(-2)/(-10) - (-426 + 434). Let n(x) be the third derivative of 23*x**2 + s*x**4 + 0 + 12/5*x**3 + 1/150*x**5 + 0*x. Factor n(p).
2*(p + 6)**2/5
Let x(k) be the third derivative of -4*k**2 + 1/48*k**6 + 0*k - 11 + 0*k**3 + 7/24*k**5 + 5/4*k**4. Factor x(u).
5*u*(u + 3)*(u + 4)/2
Let g(f) be the third derivative of -f**8/60480 - f**7/1260 - f**6/80 + f**4/24 - 37*f**3/6 - 219*f**2. Let x(h) be the second derivative of g(h). Factor x(q).
-q*(q + 9)**2/9
Let a = 4090 - 4082. Let z(i) be the third derivative of 6*i**2 + 0 + 0*i**5 + 0*i**4 + 0*i - 1/112*i**a + 3/70*i**7 - 1/20*i**6 + 0*i**3. Factor z(j).
-3*j**3*(j - 2)*(j - 1)
Let q(f) be the second derivative of 0*f**2 - 1/70*f**5 + 17/42*f**4 + 76*f - 10/7*f**3 + 0. Factor q(r).
-2*r*(r - 15)*(r - 2)/7
Let h(b) be the second derivative of 4/9*b**3 - 1/18*b**4 + 7*b**2 + 100*b + 0. Determine u so that h(u) = 0.
-3, 7
Let c(b) be the second derivative of b**7/105 - b**6/15 - 3*b**5/5 - 5*b**4/3 - 7*b**3/3 - 9*b**2/5 - 316*b - 2. Factor c(j).
2*(j - 9)*(j + 1)**4/5
Let d(a) be the third derivative of a**6/40 + 7*a**5/10 - 115*a**4/8 + 50*a**3 - 1579*a**2 - 2. Find f such that d(f) = 0.
-20, 1, 5
Let i = -424 + 426. Suppose 0 = -4*j + 2*t + 6, i*t = 3*j - j. Determine u so that 18/5*u**4 - 3/5*u**2 - 9/5*u**j + 0*u + 24/5*u**5 + 0 = 0.
-1, -1/4, 0, 1/2
Let k(x) be the first derivative of -2*x**5/5 - 17*x**4 + 70*x**3/3 - 729. Factor k(f).
-2*f**2*(f - 1)*(f + 35)
Let h(q) be the first derivative of -q**4/2 + 460*q**3/9 - 152*q**2/3 - 8137. Factor h(d).
-2*d*(d - 76)*(3*d - 2)/3
Suppose 2*u = i - 0*u + 47, 2*u + 2 = 0. Let z be i/(-7) + (-3 - 2). Factor 1759*x**4 + 2*x + 30*x**3 - 32*x - 1764*x**4 + 25 - 20*x**z.
-5*(x - 5)*(x - 1)**2*(x + 1)
Let a(j) be the second derivative of -j**6/10 - 3*j**5/10 + 4*j**4 + 16*j**3 + 10*j + 99. Factor a(v).
-3*v*(v - 4)*(v + 2)*(v + 4)
Let t(f) be the first derivative of f**3 - 303*f**2/2 + 300*f - 233. Factor t(a).
3*(a - 100)*(a - 1)
Factor -8907*j**5 + 236847*j**3 + 463698*j**4 + 12*j + 238152*j**5 + 3348*j**2 + 942*j**5.
3*j*(j + 1)**2*(277*j + 2)**2
Let -64*y**2 - 85*y**3 + 2*y**4 - 241*y - 93 + 4*y**3 - 2*y**2 - 540*y**2 + 375 = 0. Calculate y.
-6, -1, 1/2, 47
Let v(a) be the first derivative of -4*a**5/5 + 21*a**4 - 200*a**3 + 832*a**2 - 1536*a + 2782. Factor v(i).
-4*(i - 8)**2*(i - 3)*(i - 2)
Let g(h) be the third derivative of h**6/840 - 383*h**5/420 - 769*h**4/168 - 55*h**3/6 + 2*h**2 + 356*h. Solve g(j) = 0.
-1, 385
Determine l, given that 0 - 2345/8*l**4 + 35/2*l**2 + 143*l**3 - 12*l + 275/8*l**5 = 0.
-3/11, 0, 2/5, 8
Let y(l) be the third derivative of 1/780*l**6 + 5/156*l**4 + 0 + 1/65*l**5 + 0*l - 5*l**2 + 0*l**3. Factor y(n).
2*n*(n + 1)*(n + 5)/13
Suppose 2*x = -w + 2*w - 1, w = 3*x + 4. Let y be x/(-14)*7500/90. Determine u so that 15/7*u**2 - 75/7*u - 1/7*u**3 + y = 0.
5
Let d(w) = 3*w**2 - 2166*w + 36. Let j(l) = -l**2 + 1084*l - 16. Let m(p) = 4*d(p) + 9*j(p). Factor m(z).
3*z*(z + 364)
Let t(o) be the third derivative of -1/16*o**4 - 47*o**2 - 1/240*o**5 + 0 + 2/3*o**3 + 0*o. Find f, given that t(f) = 0.
-8, 2
Factor 2/5*u**2 - 932/5 - 462/5*u.
2*(u - 233)*(u + 2)/5
Let s(j) be the first derivative of 2*j**5/5 + 141*j**4/2 + 3266*j**3 - 5041*j**2 + 1332. Solve s(t) = 0 for t.
-71, 0, 1
Let v(j) be the second derivative of -1/42*j**4 - 20/7*j**2 - 25 + j**3 + j. Factor v(t).
-2*(t - 20)*(t - 1)/7
Solve -30*r**3 + 138*r**2 + 75 + 15*r**4 - 42*r - 138*r - 12*r**4 - 6*r**3 = 0.
1, 5
Let v(j) be the first derivative of -j**3/9 - 2*j**2 - 20*j/3 + 251. Solve v(t) = 0 for t.
-10, -2
Let j be (2 + 27/(-15))*(2812/(-37) + 76). What is d in 1/3*d**2 + j - 5/2*d + 1/6*d**3 = 0?
-5, 0, 3
Suppose 90*a**2 - 91*a - 95*a**2 + a = 0. What is a?
-18, 0
Let h be 133752/106848 + 15/(-12). Let q = 1490/3339 - h. Suppose 2/9 + 0*k**3 - q*k**2 + 2/9*k**4 + 0*k = 0. What is k?
-1, 1
Let x(w) be the first derivative of w**5/5 + w**4/2 + w**3/3 - 1626. Determine k, given that x(k) = 0.
-1, 0
Let h(c) = c**3 + 3*c**2 - 4*c + 4. Let j be h(-4). Let b = 235/478 - -2/239. Factor 2*p - p**2 - b*p**3 + j.
-(p - 2)*(p + 2)**2/2
Let q(l) be the second derivative of 49*l**4/9 - 80*l**3/9 - 6*l**2 + 9343*l. Factor q(z).
4*(z - 1)*(49*z + 9)/3
Let j(a) be the third derivative of -a**8/6720 + a**6/60 + 19*a**5/30 + 16*a**2 - a. Let u(z) be the third derivative of j(z). Factor u(g).
-3*(g - 2)*(g + 2)
Let m be (8826/(-17604) - 5/(-10))*3. Let t = 988/2445 + m. Factor -t + 26/5*s**4 + 16/5*s**2 + 34/5*s**3 - 1/5*s + 7/5*s**5.
(s + 1)**4*(7*s - 2)/5
Let z(d) be the third derivative of d**6/24 - d**5/2 + 15*d**4/8 - 924*d**2. Factor z(f).
5*f*(f - 3)**2
Let y(n) be the first derivative of 4*n**5/5 + 11*n**4 - 224*n**3/3 + 120*n**2 - 13710. Determ