iven that c(f) = 0.
1, 125
Suppose 12 = -8*w + 36. Let n(x) = 3*x - 2. Let p be n(w). Factor -133 - p*u**3 - 16*u**2 + 63 - u + 68 - 10*u.
-(u + 1)**2*(7*u + 2)
Determine w, given that 448*w**2 - 1368*w - 228*w**2 - 152652 - 172595 + 91319 - 222*w**2 = 0.
-342
Let y(p) be the second derivative of 0*p**2 + 2/45*p**6 - 1/15*p**5 + 0*p**3 - 2/9*p**4 - 4*p - 7. Factor y(z).
4*z**2*(z - 2)*(z + 1)/3
Let f be 104/(-208) + 550/(-4). Let r be f/161*(-1 + 9/30). Solve 6/5*q - 3/5*q**3 + 0 + r*q**2 = 0.
-1, 0, 2
Let j = 23 - 12. Suppose 11 - 39 = -7*x. Factor x*v**4 - j*v**3 + 6*v**3 + 48*v - 8*v**2 - 32 - 7*v**3.
4*(v - 2)**2*(v - 1)*(v + 2)
Factor 41067*j + j**4 + 292*j**3 + 27450*j**2 + 2*j**4 - 991*j**3 + 12915*j**2.
3*j*(j - 117)**2*(j + 1)
Let 40*i + 3754*i**2 + 4*i**4 - 4074*i**2 - 3098*i + 156*i**3 - 2950*i - i**5 - 392*i = 0. Calculate i.
-8, 0, 10
Let s be 18/(-63)*-21 + -71*6. Let j be (-9)/6*28/s. Factor 0 - 1/10*h**3 + 0*h**2 + j*h.
-h*(h - 1)*(h + 1)/10
Let a(h) be the second derivative of 16/11*h**2 - 2/11*h**4 - 5 + h + 7/110*h**5 - 1/165*h**6 - 4/33*h**3. Determine d, given that a(d) = 0.
-1, 2, 4
Let h(r) be the third derivative of -1/60*r**6 + r**2 + 17/12*r**4 - 4 + 0*r - 3*r**3 - 7/30*r**5. Find p such that h(p) = 0.
-9, 1
Suppose 96*f - 656 = -34*f - 34*f. Determine d so that 2*d**3 - 1/3*d**f + 0*d - 8/3*d**2 + 0 = 0.
0, 2, 4
Let v(q) be the first derivative of q**6/210 - 22*q**5/35 + 363*q**4/14 + 106*q**2 - 132. Let d(s) be the second derivative of v(s). Factor d(o).
4*o*(o - 33)**2/7
Let i(l) be the second derivative of -11/2*l**3 + 3/10*l**5 - 38*l - 1 + 5/4*l**4 + 6*l**2. Factor i(s).
3*(s - 1)*(s + 4)*(2*s - 1)
Let q(y) be the second derivative of -7/10*y**3 + 93*y - 3/5*y**2 + 0 + 9/20*y**4. What is t in q(t) = 0?
-2/9, 1
Suppose 4*h - 61 = 5*b, -3*h - 33 = 93*b - 88*b. Let -1/8*d**5 + 0*d + 3/4*d**h + 1/8*d**3 - 3/4*d**2 + 0 = 0. What is d?
-1, 0, 1, 6
Let m(r) be the third derivative of 0*r**4 + 0*r**3 + 0 - 1/140*r**7 + 1/672*r**8 + 1/30*r**5 + 76*r**2 + 0*r + 0*r**6. Determine t, given that m(t) = 0.
-1, 0, 2
Factor 0 + 0*z + 20/9*z**2 + 2/9*z**3.
2*z**2*(z + 10)/9
Solve -2/19*i**3 - 90/19 - 94/19*i**2 - 182/19*i = 0.
-45, -1
Let j(i) be the third derivative of -7*i**6/12 + 9*i**5/4 + 5*i**4/12 - 449*i**2 - 6*i. What is y in j(y) = 0?
-1/14, 0, 2
Suppose 3*j = -5*q - 21, -2*j + 85*q + 12 = 84*q. Determine d, given that 2/15*d**j + 8/15*d**2 - 8/15 - 2/15*d = 0.
-4, -1, 1
Let a(l) = 9*l**3 - 795*l**2 + 1559*l - 793. Let x(u) = 16*u**3 - 1591*u**2 + 3127*u - 1587. Let y(t) = -7*a(t) + 4*x(t). Suppose y(c) = 0. What is c?
1, 797
Let u(f) = -f - 1. Let t(b) = -10*b - 11. Let c be t(-1). Let m(r) = -r**2 - 17*r - 34. Let j(w) = c*m(w) + 4*u(w). Factor j(h).
(h + 3)*(h + 10)
Determine h, given that 75/2*h**4 - 2955*h**3 + 462 + 10467/2*h**2 - 2778*h = 0.
2/5, 1, 77
Let g(a) = -a**2 + 1. Let s be -21*((-104)/56 - (-1 + 0)). Let h = 12 - s. Let o(i) = -2*i**4 - 2*i**2 + 4. Let n(y) = h*g(y) + o(y). Factor n(f).
-2*(f - 1)**2*(f + 1)**2
Suppose -10*g + 107 = -73. Let q be g/(-45) - (-51)/15. Solve -4/7*m**q + 0*m**2 + 0 + 4/7*m = 0 for m.
-1, 0, 1
Let d(l) be the first derivative of -2*l**3 + 1/150*l**6 - 1/30*l**5 + 0*l + 1/15*l**4 + 0*l**2 - 15. Let f(g) be the third derivative of d(g). Factor f(h).
4*(h - 1)*(3*h - 2)/5
Suppose -24*s - 4*s = -6*s. Let c(y) be the third derivative of s + 15/8*y**4 + 17*y**2 - 7/12*y**5 + 0*y - 5/3*y**3. Suppose c(m) = 0. What is m?
2/7, 1
Let x be ((-147)/(-5))/(17/85) + 1. Factor -56 + 42*k + k**3 - 54*k**2 + 62*k - 363*k + x*k.
(k - 56)*(k + 1)**2
Let f = -68 + 65. Let n be (f + 37)*(-6)/(-12). Factor -72*j - 27 - 3*j**4 - 5*j**3 - 66*j**2 - n*j**3 - j**3 - j**3.
-3*(j + 1)**2*(j + 3)**2
Suppose -15*h - 10*h**4 + 63*h + 2*h**5 + 299*h**3 - 10*h**4 - 229*h**3 - 100*h**2 = 0. What is h?
0, 1, 2, 3, 4
Let x(u) be the third derivative of 1/60*u**5 + 0*u**3 + 0 + 0*u**4 + 95*u**2 + 0*u. Factor x(g).
g**2
Let i = 6246 - 6244. Let c(l) be the first derivative of 0*l + 5/4*l**4 + 5*l**3 + 5*l**i - 10. Suppose c(m) = 0. Calculate m.
-2, -1, 0
Let i(a) be the second derivative of a**5/30 - 11*a**4/6 + 121*a**3/3 - 29*a**2/2 + 12*a. Let o(k) be the first derivative of i(k). Factor o(h).
2*(h - 11)**2
Let p be -144*(2 + 20/(-8)). Let q be (-12)/p + (-13)/(-6). Determine j, given that -5*j**3 + 4*j**2 + 8*j**2 - q*j**2 + 5*j - 10 = 0.
-1, 1, 2
Let -1/6*l**2 + 388 + 773/6*l = 0. Calculate l.
-3, 776
Find u such that 51 - 456 + 40*u - 22*u - u**2 + 120*u = 0.
3, 135
Let j = 2569 - 3852. Let r = j + 1285. Find y, given that -r*y**2 + 0 + 4/5*y = 0.
0, 2/5
Let f(n) be the second derivative of 29*n + 5/4*n**5 - 76*n**3 - 46*n**2 - 185/4*n**4 + 3. Find o, given that f(o) = 0.
-2/5, 23
Suppose 0 = 5*a - 15, -b + 7*a - 7 = 4*a. Factor -7*f**2 + 6*f**b + 17*f**3 + f**4 - 2*f**2 - 19*f**3.
f**2*(f - 3)*(f + 1)
Let c(y) be the first derivative of 4*y**3/3 - 878*y**2 + 6960*y - 6770. Find z such that c(z) = 0.
4, 435
Let i(a) be the second derivative of -a**5/20 + a**4/3 + 4*a**3/3 - 15*a**2 + 14*a - 5. Let s be i(4). Factor 2 + 35/2*x**3 + 0*x - 39/2*x**s.
(x - 1)*(5*x - 2)*(7*x + 2)/2
Let k(v) = v**3 + 21*v**2 - 24*v + 4. Let b be k(1). Factor -3/2*a**3 + 0 + 15/2*a**b - 6*a.
-3*a*(a - 4)*(a - 1)/2
Suppose 2*t = -5*d + 18, t - 15 = -5*d - 4*t. Let a be d/(0/2 + (-4)/(-2)). Find h such that -2*h**3 - 2 + 167*h - 85*h - 80*h + 2*h**a = 0.
-1, 1
Suppose 7 = -t + 2*g + 8, 3*g - 4 = t. Let u = -8 + t. Let u*b - 6/5 + 3/5*b**3 - 12/5*b**2 = 0. Calculate b.
1, 2
Determine k so that -1/5*k**3 - 102/5*k**2 - 396/5*k - 392/5 = 0.
-98, -2
Let d(k) = 44*k**3 + 336*k**2 - 1207*k + 1145. Let r(n) = -32*n**3 - 224*n**2 + 805*n - 763. Let f(g) = -5*d(g) - 7*r(g). Solve f(i) = 0 for i.
2, 24
Suppose -b = -i + 8, 121*b + 5*i - 40 = 125*b. Factor 2/9*h**5 + 40/9*h**4 + 236/9*h**3 + 18*h + 40*h**2 + b.
2*h*(h + 1)**2*(h + 9)**2/9
Let a(n) be the second derivative of 0*n**3 + 0*n**2 - 34*n + 5/4*n**4 - 1/4*n**5 - 1. Determine u, given that a(u) = 0.
0, 3
Let a = 891/758 - 256/379. Determine i, given that 3/4*i + 0 - 1/4*i**3 - a*i**2 = 0.
-3, 0, 1
Suppose 0 = 16*m - 17*m. Let t(r) be the first derivative of -6*r**5 - 4 + 8/5*r**2 + 13*r**4 - 344/45*r**3 + m*r - 25/9*r**6. Factor t(s).
-2*s*(s + 3)*(5*s - 2)**3/15
Let s be -5*((-2)/(-3) + (5 - 1547/255)). Let d(r) be the first derivative of -3/2*r - 1/8*r**3 - 3/4*r**s + 15. Determine y, given that d(y) = 0.
-2
Let d be 1/5 - (4064/20)/(-4). Let s be d/17*(-22)/(-10). Determine g, given that -39/5*g**3 + 3*g + 9/5*g**4 + s*g**2 - 18/5 = 0.
-2/3, 1, 3
Let c(m) be the third derivative of -m**6/360 - 49*m**5/180 - 251*m**4/72 + 301*m**3/18 + 2*m**2 - 909*m. Factor c(f).
-(f - 1)*(f + 7)*(f + 43)/3
Let y be (-35)/140 - 1994/(-8). Let m = 251 - y. Factor 0*z - 5*z**3 - 5/2*z**4 + 0 + 5/2*z**5 + 0*z**m.
5*z**3*(z - 2)*(z + 1)/2
Determine f so that 5396*f**3 + 242/5 + 17492/5*f**2 + 50*f**5 + 3586/5*f - 1070*f**4 = 0.
-1/5, 11
Let t(l) be the first derivative of 101 + 0*l - 16/9*l**3 + 4/15*l**5 + 16/3*l**2 - 2/3*l**4. Factor t(b).
4*b*(b - 2)**2*(b + 2)/3
Let y(d) be the third derivative of 0 + 1/18*d**4 + 0*d - 31/270*d**5 + 4/135*d**6 + 0*d**3 + 1/105*d**7 - 39*d**2. What is m in y(m) = 0?
-3, 0, 2/9, 1
Let c = 7345 - 7343. Let o(x) be the first derivative of 5/2*x - 1/6*x**3 - 11 + x**c. What is b in o(b) = 0?
-1, 5
Let o(w) be the first derivative of -w**6/30 + 6*w**5/25 + 73*w**4/20 + 214*w**3/15 + 126*w**2/5 + 104*w/5 + 190. Determine l so that o(l) = 0.
-2, -1, 13
Let i(v) be the second derivative of v**6/720 - v**5/120 + v**3/9 + 37*v**2 + v + 3. Let s(r) be the first derivative of i(r). Factor s(k).
(k - 2)**2*(k + 1)/6
Let k(i) be the third derivative of -5*i**6/12 + 49*i**5/12 - 23*i**4/3 + 8*i**3/3 - 2136*i**2. Determine x, given that k(x) = 0.
1/10, 4/5, 4
Suppose -3*s = -3*o + 2949, -o + 65*s + 971 = 61*s. Let v = o - 985. Factor 0 + 6/7*a**v + 2/7*a**4 + 18/7*a - 10/7*a**3.
2*a*(a - 3)**2*(a + 1)/7
Let x(t) be the second derivative of -1/23*t**3 - 1/138*t**4 + 10/23*t**2 - 49*t + 0. Factor x(q).
-2*(q - 2)*(q + 5)/23
Let k(y) = 4*y**4 + y**3 - 8*y**2 + 3*y + 1. Let j(x) = -3*x**4 + x**3 - 3*x - 1. Let i(g) = 4*j(g) + 4*k(g). Solve i(p) = 0.
-4, 0, 2
Factor 8/3*a**3 + 8*a 