*i - 1)
Let 29986576/3 + 536648/3*c**2 + 18796/3*c**3 + 2330038*c + 2/3*c**5 + 104*c**4 = 0. Calculate c.
-37, -8
Let f(d) = 6*d**2 + 110*d - 259. Let m(y) = 7*y**2 + 114*y - 255. Let z(t) = 6*f(t) - 5*m(t). Suppose z(w) = 0. Calculate w.
-93, 3
Let n = -398 + 401. Let h be 8 - (n - (-224)/49). Factor 0 - 33/7*c**2 + 18/7*c - h*c**4 + 18/7*c**3.
-3*c*(c - 3)*(c - 2)*(c - 1)/7
Let c(k) = -4*k + 6. Let t(x) = -x + 1. Let h(f) = 3*c(f) - 16*t(f). Let g be h(1). Factor -8*z + z**2 - 7*z**4 + g*z**3 - 5*z**2 + z**5 + 12*z**4.
z*(z - 1)*(z + 2)**3
Let q(l) be the third derivative of 110*l**2 - 23/60*l**5 + 0*l - 2*l**3 - 1/24*l**6 + 5/3*l**4 + 0. Determine p so that q(p) = 0.
-6, 2/5, 1
Suppose 105*k - 100*k = 10. Factor -16*o + 59011 - 59011 + 4*o**k.
4*o*(o - 4)
Let j = 2751/124 + -160297/62. Let d = -2545 - j. What is r in -7/2*r**4 - 16 - 1/4*r**5 - 43*r**2 - d*r**3 - 44*r = 0?
-4, -1
Let w(f) be the second derivative of 2*f**7/21 + 2*f**6/15 - 23*f**5/5 - 5*f**4/3 + 116*f**3/3 + 80*f**2 + 50*f + 4. Find h, given that w(h) = 0.
-5, -1, 2, 4
Let r(f) be the second derivative of f**4/30 - 2518*f**3/15 + 1585081*f**2/5 - 113*f + 4. Factor r(p).
2*(p - 1259)**2/5
Let b(y) = -6*y**3 + 144*y**2 - 714*y - 42. Let g(s) = 3*s**3 - 72*s**2 + 357*s + 24. Let l(i) = 4*b(i) + 7*g(i). Suppose l(q) = 0. What is q?
0, 7, 17
Let i be (-10)/2 - (-575)/(-23). Let n be (-80)/i*(-6)/(-8). What is d in -28*d**2 + 2*d**3 + 50*d**n - 26*d**2 = 0?
0, 2
Determine i so that 9/4*i + 405/4 - 1/4*i**3 - 13/4*i**2 = 0.
-9, 5
Suppose 0 + 2/7*q**4 + 2/7*q**5 + 0*q**2 - 60/7*q**3 + 0*q = 0. What is q?
-6, 0, 5
Let y be 2 + 6/(-2) + -316. Let i = 742 + y. Factor j**2 - 120*j + 295 + 0*j**2 + i + 4*j**2.
5*(j - 12)**2
Factor -104*y**2 + 2/5*y**5 + 528/5*y**3 + 0*y + 0 - 138/5*y**4.
2*y**2*(y - 65)*(y - 2)**2/5
Let u = 71 - 66. Suppose u*w = -0 + 35. Solve 3*p**5 + 6*p - w*p**3 - p**3 + 4*p**5 - 5*p**5 + 4*p**2 - 4*p**4 = 0 for p.
-1, 0, 1, 3
Let l = 84654 + -84650. Factor -1/2 + 1/4*x**2 + 3/4*x + 1/4*x**l - 3/4*x**3.
(x - 2)*(x - 1)**2*(x + 1)/4
Let n(l) = 32*l + 416. Let o be n(-13). Let d(c) be the first derivative of -4/9*c**3 + 0*c + o*c**2 + 1/15*c**5 + 14 + 1/4*c**4. Factor d(k).
k**2*(k - 1)*(k + 4)/3
Determine x, given that -1/9*x**3 + 154/9*x + x**2 + 16 = 0.
-8, -1, 18
Let j be (-554)/13296*(-8)/9. Let q(p) be the first derivative of 0*p + j*p**6 - 18 + 1/2*p**4 + 2/9*p**2 - 2/9*p**5 - 14/27*p**3. Factor q(y).
2*y*(y - 2)*(y - 1)**3/9
Let a(l) = 4*l + 97. Let o be a(-21). Factor -5*b**3 + 7*b**2 + 9*b**2 + b**3 + o*b + 14*b - 7*b.
-4*b*(b - 5)*(b + 1)
Let g(u) be the third derivative of u**6/200 + 3441*u**5/100 + 3946827*u**4/40 + 1509003523*u**3/10 - 5*u**2 + 216. Solve g(n) = 0.
-1147
Let y be (-513)/135432*4/(-5). Let w(x) be the third derivative of 1/44*x**4 + 0 + 15*x**2 + 0*x - y*x**5 + 4/33*x**3. Factor w(g).
-2*(g - 4)*(g + 1)/11
Let u = 28 - 49. Let t = 22 + u. Factor -1 + t - 15*v - 8 - 12*v**3 + 2 + 33*v**2.
-3*(v - 2)*(v - 1)*(4*v + 1)
Determine u so that 8 - 17/2*u**3 - 17/2*u**2 + 1/2*u**4 + 1/2*u**5 + 8*u = 0.
-4, -1, 1, 4
Suppose 4*b - 6 = 3*b - c, -2*c = -4*b. Factor -28 - 18 + 118 + 2*h**2 + b*h**2 - 6*h**2 + 10*h.
-2*(h - 9)*(h + 4)
What is d in -64 + 3355*d**2 - 3418*d**2 + 3*d**3 - 89 + 213*d = 0?
1, 3, 17
Let g(t) be the second derivative of -3/34*t**4 + 0*t**2 - 22/51*t**3 - 12 - 2*t + 1/170*t**5. Factor g(k).
2*k*(k - 11)*(k + 2)/17
Let a(f) = f**3 + 20*f**2 + 17*f - 35. Let w be a(-19). Let t be (-1)/(-3) + w/(-9). What is v in 0*v - 4/9*v**4 + 0 + t*v**2 + 2/9*v**3 + 2/9*v**5 = 0?
0, 1
Let 32/15*k + 34/15 - 2/15*k**2 = 0. What is k?
-1, 17
Solve 68*v**4 - 700*v - 975*v**3 + 1898*v**2 - 4979*v**5 - 363*v**2 + 77*v**4 + 4974*v**5 = 0 for v.
0, 1, 7, 20
Let q be ((-345)/(-39))/(-1) - (1575/150)/((-14)/12). Factor q*s**4 - 14/13*s**2 + 4/13*s**3 + 0 + 8/13*s.
2*s*(s - 1)**2*(s + 4)/13
Suppose 0*j + 18/17*j**3 - 2/17*j**4 + 0 - 16/17*j**2 = 0. Calculate j.
0, 1, 8
Let q = 1602209/445065 - -5/89013. Determine d, given that 11/5*d - q - 1/5*d**2 = 0.
2, 9
Solve 311 + i**2 + 570*i - i**2 - 311 + 5*i**2 = 0.
-114, 0
Let q(g) = -g**2 + 3*g + 9. Let r be q(4). Suppose -x = -2*j - 2*j - 18, 0 = -5*j - r. Factor 5*f**2 + 20*f + x + 0*f**2 + 15 - 9.
5*(f + 2)**2
Let c(x) be the second derivative of 1/5*x**5 - 1/60*x**6 - 90*x + 0 + 1/3*x**4 - 36*x**2 - 8*x**3. Factor c(a).
-(a - 6)**2*(a + 2)**2/2
Find w, given that -4/5*w - 84/5*w**2 + 4/5*w**3 + 84/5 = 0.
-1, 1, 21
Let h(q) = -5*q**4 + 6*q**3 + 18*q**2 + 5*q - 15. Let y(n) = -11*n**4 + 14*n**3 + 36*n**2 + 9*n - 27. Let m(b) = -14*h(b) + 6*y(b). Let m(k) = 0. Calculate k.
-2, 1, 3
Let k(x) = 40*x**2 + 81*x**3 - 84*x - 77*x**2 - 15 - 21 + 139*x**2. Let o(v) = 23*v**3 + 29*v**2 - 24*v - 10. Let q(s) = -5*k(s) + 18*o(s). Solve q(c) = 0.
-2, 0, 2/3
Let b(a) be the first derivative of -129*a**3/5 + 12*a**2/5 + 1770. Factor b(y).
-3*y*(129*y - 8)/5
Determine a, given that -1154 + 3562714*a - 5529*a**3 - 3577354*a - 15123*a**2 - 3646 - 3*a**5 + 31*a**4 - 280*a**4 = 0.
-40, -1
Let c be (-1 + 131/(-4))*-9*(-74)/(-6660). Let b(w) be the first derivative of -1/4*w**6 + 0*w + 3*w**2 + c*w**4 - 3/10*w**5 - 11/2*w**3 - 2. Factor b(t).
-3*t*(t - 1)**3*(t + 4)/2
Let w(r) be the third derivative of 4*r**7/105 + 323*r**6/120 + 904*r**5/15 + 7087*r**4/24 + 361*r**3 - 11*r**2 + 42. Factor w(j).
(j + 2)*(j + 19)**2*(8*j + 3)
Let n be 4 + (-186)/(-15) + -69 + 99 + -46. Factor 2/15*o**4 + 0 - 12/5*o - n*o**2 + 8/15*o**3.
2*o*(o - 2)*(o + 3)**2/15
Let q(z) be the second derivative of -z**6/240 - z**5/10 - z**4/2 + 21*z - 8. Factor q(i).
-i**2*(i + 4)*(i + 12)/8
Let v(k) be the third derivative of -1/9*k**3 + 0 + 9/80*k**6 - 45*k**2 + 0*k + 5/18*k**4 - 13/40*k**5. Factor v(b).
(b - 1)*(9*b - 2)**2/6
Let i = 101 - 108. Let s be (6 + i)/((-1)/(-3)) + 3. Determine f so that 0 - 1/2*f + 1/2*f**3 + s*f**2 = 0.
-1, 0, 1
Let f(l) = -3*l + 33. Let x be f(4). Suppose -3*j = -u + 20 - 3, 5*j = -2*u - x. Factor 3 + 1029/8*n**3 + 441/4*n**u + 63/2*n.
3*(7*n + 2)**3/8
Suppose -10*a - 1641 = 39. Let l be (98/a)/((-21)/9). Find o such that -3/4*o**2 + 1/4*o + 3/4 - l*o**3 = 0.
-3, -1, 1
Let x(z) be the third derivative of -z**6/300 + 13*z**4/60 + 4*z**3/5 + 700*z**2. Determine w, given that x(w) = 0.
-3, -1, 4
Let t = 590 + -585. Suppose 14*l = -4*h + 11*l - 9, l = t*h - 3. Factor h + 1/2*r**4 + 4/3*r**3 - 5/6*r**2 - r.
r*(r - 1)*(r + 3)*(3*r + 2)/6
Let a(y) be the first derivative of y**4/2 - 28*y**3/3 + 13*y**2 + 3139. Determine t, given that a(t) = 0.
0, 1, 13
Let z(b) = -b**3 - 6*b**2 - 12*b - 67. Let r be 207/115*10/(-3). Let n be z(r). What is t in 0*t - 4/9*t**n - 8/3*t**3 + 8/9*t**2 + 2*t**4 + 0 = 0?
0, 1/2, 2
Solve 2/3*m**2 + 0 - 100/3*m = 0 for m.
0, 50
Let s be (-48)/27 + 2 + (-41089)/185589. Let l = s - -38813/3639. Factor -8/3*n**3 + 0*n**2 + 32/3 + l*n - 2/3*n**4.
-2*(n - 2)*(n + 2)**3/3
Let h(z) be the first derivative of -5*z**3/6 - 2155*z**2/2 - 928805*z/2 - 874. Factor h(l).
-5*(l + 431)**2/2
Let t(i) be the second derivative of -i**7/3 + 284*i**6/135 - 22*i**5/15 + 8*i**4/27 + 740*i + 2. Find s such that t(s) = 0.
0, 2/9, 2/7, 4
Factor -168*d - 450 + 2*d**2 + 3*d**2 + 48*d + 62*d + 53*d.
5*(d - 10)*(d + 9)
Let y(i) = -180*i - 32. Let r be y(-1). Suppose 0 = -2*o - 142 + r. Let 32/9*a + 4/9*a**o + 0 - 4*a**2 = 0. Calculate a.
0, 1, 8
Factor 13936 + 180*q + 13213 + 4*q**2 - 25653.
4*(q + 11)*(q + 34)
Let l be (9/16)/((-12450)/(-3320)). Let y(o) be the third derivative of 1/2*o**4 + l*o**5 + 0*o + 0 - 2*o**3 + 1/70*o**7 - 1/10*o**6 + 17*o**2. Factor y(f).
3*(f - 2)**2*(f - 1)*(f + 1)
Let u be 22 - 11 - (38 + -41 - ((-273)/(-12) + 0)). Factor -343/4 + 1/4*r**3 - 21/4*r**2 + u*r.
(r - 7)**3/4
Let s(g) be the first derivative of g**3/2 + 51*g**2/4 - 165*g + 261. What is i in s(i) = 0?
-22, 5
Let w(b) be the first derivative of b**8/168 - 2*b**7/105 - b**6/60 + b**5/15 + 25*b**2/2 - 2*b - 29. Let c(m) be the second derivative of w(m). Factor c(f).
2*f**2*(f - 2)*(f - 1)*(f + 1)
Let n be (102/19)/(-14 - (-19491)/1387). Determine p so that 36 + n*p + 289/4*p**2 = 0.
-12/17
Let j be -12 + 10 - 1 - (-8 + 0). Let v be j/1 + 1 + (-54)/15. What is l in -v*l - 36/5 - 1/5*l**2 = 0?
-6
Suppose 17*i + 145*i = -105*i + 534. Let 8/7*q - 4/7 -