et b(k) be the third derivative of -2/735*k**7 - 7*k**2 + 0*k**3 + 0*k**4 - 4/105*k**6 + 0*k + 0 - 16/105*k**5. Solve b(o) = 0.
-4, 0
Factor 4/5*l**2 - 4/5 - 4/5*l + 4/5*l**3.
4*(l - 1)*(l + 1)**2/5
Suppose -2*z - 2*b = 38 - 110, 10 = -5*b. Factor -z + 44*t + 5*t**3 + 35*t**2 - 4*t - 42.
5*(t - 1)*(t + 4)**2
Let i(u) be the third derivative of u**8/280 + 12*u**7/175 + 13*u**6/25 + 48*u**5/25 + 16*u**4/5 - 3*u**2 + 8. Factor i(p).
6*p*(p + 2)**2*(p + 4)**2/5
Suppose 21*f = 24*f - 24. Suppose -4*d - f = -8*d. Solve 2/5*q**3 + 0 - 4/5*q**d + 0*q = 0 for q.
0, 2
Let b(f) = -f**2 - 7*f + 6. Let g be b(-7). Let c be (g/4)/(9/12). Determine x so that 1 + 3*x**2 - 8*x - 3*x**2 + 5 + 2*x**c = 0.
1, 3
Let g(k) be the first derivative of -2*k**6/3 + 8*k**5/25 + k**4 - 8*k**3/15 - 69. Let g(t) = 0. Calculate t.
-1, 0, 2/5, 1
Let o(i) be the second derivative of -i**6/90 + 2*i**5/15 + 53*i**4/36 - 10*i**3/3 - 719*i. Factor o(q).
-q*(q - 12)*(q - 1)*(q + 5)/3
Let k = 77/5 + -1381/90. Let g = 1/2 - k. Determine h, given that g*h**2 + 14/9*h**3 + 0 + 0*h = 0.
-2/7, 0
Factor 8/11 - 6/11*i - 2/11*i**2.
-2*(i - 1)*(i + 4)/11
Let z = 819502 - 619543319/756. Let a = z + -1/189. Factor -d**3 - 2*d**2 - 5/4*d - a.
-(d + 1)*(2*d + 1)**2/4
Factor 73 - 18*c - 19 - c**2 - 35.
-(c - 1)*(c + 19)
Let l be ((-1462)/8)/(24/32). Let v = -243 - l. Let -8/15 - 2/15*u**2 + v*u = 0. Calculate u.
1, 4
Suppose 0*t - 5/6*t**3 + 0 - 5/6*t**2 = 0. What is t?
-1, 0
Let f(x) = -12*x**2 + 340*x - 98. Let k(n) = n**2 - 1. Let t(a) = f(a) - 2*k(a). What is g in t(g) = 0?
2/7, 24
Solve 2/3*w**3 + 0*w + 4*w**4 + 64/3 - 76/3*w**2 - 2/3*w**5 = 0.
-2, -1, 1, 4
Let u(b) be the third derivative of -b**6/40 - 27*b**5/20 + 7*b**4/2 - 108*b**2. Factor u(c).
-3*c*(c - 1)*(c + 28)
Let h(o) be the first derivative of -o**6/4 - o**5/2 + 19*o**4/4 - 9*o**3 + 29*o**2/4 - 5*o/2 - 94. Let h(s) = 0. Calculate s.
-5, 1/3, 1
Let h(c) = 49*c**2 + 514*c + 1449. Let y(x) = 440*x**2 + 4625*x + 13040. Let d(p) = -35*h(p) + 4*y(p). Factor d(k).
5*(3*k + 17)**2
Solve -y**2 - 37*y + 96 + 3*y**2 + 2*y**2 - 28*y - 35*y = 0.
1, 24
Let m(r) be the first derivative of 2/5*r**2 - 1/15*r**4 + 1/50*r**5 - 5*r - 4 - 1/15*r**3. Let j(h) be the first derivative of m(h). What is d in j(d) = 0?
-1, 1, 2
Let k(p) be the third derivative of p**8/1344 + p**7/210 - p**6/80 - p**5/60 + 5*p**4/96 + 135*p**2. Factor k(d).
d*(d - 1)**2*(d + 1)*(d + 5)/4
Let w be -4 + (-3828)/(-1168) + 1. Let a = w + -2/73. Find r, given that a*r**3 + 0 + 0*r + 1/2*r**2 = 0.
-2, 0
Let j = -2131/4 - -6433/12. Determine x so that -1/3*x**3 + 7/3*x**2 + 0 - j*x = 0.
0, 2, 5
Let v(l) be the second derivative of -1/3*l**2 + 1/18*l**4 + 1/6*l**3 + 32*l + 0 + 1/126*l**7 + 0*l**6 - 1/15*l**5. Factor v(c).
(c - 1)**3*(c + 1)*(c + 2)/3
Let b(q) = 28*q**2 + 55*q + 144. Let v(x) = -148*x**2 - 276*x - 720. Let u(j) = 16*b(j) + 3*v(j). Factor u(k).
4*(k + 4)*(k + 9)
Let w(g) = g**3. Let s(l) = 11*l**3 - 138*l**2 + 171*l - 42. Let m(v) = s(v) - 2*w(v). Factor m(f).
3*(f - 14)*(f - 1)*(3*f - 1)
Find x such that 0*x + 1/4*x**4 - x**2 - 3/4*x**3 + 0 = 0.
-1, 0, 4
Let g(a) be the first derivative of -a**6/21 + 2*a**5/35 + a**4/7 + 13. Factor g(d).
-2*d**3*(d - 2)*(d + 1)/7
Let x(g) be the first derivative of g**3/6 - 9*g**2/4 + 98. Factor x(z).
z*(z - 9)/2
Let w(c) be the second derivative of 8*c + 1/6*c**4 + 0 + 2*c**2 + c**3. Factor w(k).
2*(k + 1)*(k + 2)
Factor 1/7*h - 1/7*h**3 + 6/7*h**2 - 6/7.
-(h - 6)*(h - 1)*(h + 1)/7
Let q be ((-28)/(-77))/(7/77 - 0). Factor 0*v + 1/7*v**q + 2/7*v**3 + 0 + 1/7*v**2.
v**2*(v + 1)**2/7
Let j(f) be the third derivative of -7/120*f**4 - 3/100*f**5 - 17*f**2 + 0 + 0*f + 1/15*f**3. Factor j(u).
-(u + 1)*(9*u - 2)/5
Let x(n) be the second derivative of 4*n**7/63 + 26*n**6/45 + 193*n**5/120 + 71*n**4/36 + 41*n**3/36 + n**2/3 + 226*n. Suppose x(q) = 0. Calculate q.
-4, -1, -1/4
Solve -1/5*u**4 + 0 - 52/5*u**3 + 0*u - 676/5*u**2 = 0.
-26, 0
Suppose 3*s - 2*n - 6 = 0, -n + 4*n = 0. Factor 67*z**5 - 2*z**s - z - 68*z**5 + 2*z**3 + 2*z**2.
-z*(z - 1)**2*(z + 1)**2
Solve 1482*c**4 + 28584*c**2 + 1152 - 54*c**5 - 36944/3*c**3 - 10944*c = 0 for c.
2/9, 3, 12
Let b be 5 + 134/(-26) + (-38)/(-78). Let k be 52/24 + -1*2. Let -1/6 - b*o - k*o**2 = 0. Calculate o.
-1
Suppose -6/5*t**3 + 0*t + 0*t**2 + 0 = 0. What is t?
0
Factor -2*c**3 - 21*c**2 - 2*c - 16 + 35*c**2 - 26*c - 28*c**2.
-2*(c + 1)*(c + 2)*(c + 4)
Let b = -2646 + 13236/5. What is i in -4/5*i + 1/5*i**4 + b*i**2 - 4/5*i**3 + 1/5 = 0?
1
Let t = 26 + -26. Suppose -29*g = g - 90. Factor 2/7*k**4 - 4/7*k**g + 0 + 2/7*k**2 + t*k.
2*k**2*(k - 1)**2/7
Let g(l) = -3*l - 15. Let j be g(-5). Let f be -2*(3/(-27) + j). Suppose -2/3*o - 2/3*o**2 - f - 2/9*o**3 = 0. What is o?
-1
Find l, given that 0*l**4 + 0*l + l**2 - 3/2*l**3 + 0 + 1/2*l**5 = 0.
-2, 0, 1
Suppose -4*q = q. Let k(x) be the third derivative of 2*x**2 + 0*x**3 - 1/4*x**4 + 3/20*x**5 - 1/40*x**6 + q*x + 0. Suppose k(t) = 0. Calculate t.
0, 1, 2
Let b be ((-5)/10)/(1/4) + -10. Let u be (1/9)/((-2)/b). Determine l, given that u + 2/9*l**2 - 2/9*l**3 + 10/9*l = 0.
-1, 3
Let l(o) = o**2 + 8*o + 1. Let s be l(-5). Let k = s - -59/4. What is h in -3/4*h - 1/4 - k*h**2 - 1/4*h**3 = 0?
-1
Let p(c) = 2*c**3 - c**2 + 1. Let w(i) = -4*i**3 + 16*i**2 + 8*i - 4. Let z(s) = 4*p(s) + w(s). Let z(y) = 0. What is y?
-2, -1, 0
Let u(w) be the third derivative of -w**5/180 - 7*w**4/9 - 6*w**3 + 14*w**2 - 11. Factor u(o).
-(o + 2)*(o + 54)/3
Let m(l) be the second derivative of -8*l**2 - 17*l - 1/3*l**4 + 0 - 8/3*l**3. Solve m(f) = 0.
-2
Suppose t + 2*t + 15 = 0. Let i(h) = -h - 1. Let d be i(t). Factor -8*g**d - 3*g**5 + 6*g**5 + 7*g**3 + 0*g**4 - g**2 - g**2.
g**2*(g - 1)**2*(3*g - 2)
Let u(r) be the second derivative of -7*r**5/60 - 2*r**4/3 - r**3/2 - 114*r + 1. What is s in u(s) = 0?
-3, -3/7, 0
Let d(g) be the third derivative of g**8/784 + 9*g**7/35 + 189*g**6/10 + 2646*g**5/5 + 714*g**2. Factor d(h).
3*h**2*(h + 42)**3/7
Let j = 9 + -15. Let w be ((-2)/1)/6*j. Factor -9 + 4*g**3 + 9 + w*g**4 + 2*g**2.
2*g**2*(g + 1)**2
Let -249 - 2*c**4 + 160*c**2 - 162*c - 108*c - 290*c + 633 + 104*c**2 - 36*c**3 = 0. Calculate c.
-24, 2
Let n(a) be the first derivative of -a**4/90 + 2*a**3/9 - 5*a**2/3 + 50*a - 9. Let f(v) be the first derivative of n(v). Factor f(k).
-2*(k - 5)**2/15
Let v be 5/(-2) - 306/(-68). Factor 0*p**v + 0*p + 4/3*p**3 + 10/3*p**4 + 0.
2*p**3*(5*p + 2)/3
Let r be (258/(-10))/(-3) - (-27)/(-45). Factor 11*b**3 - 7*b**3 + 8*b**3 + 3*b**4 - r*b - 11*b**4 + 12*b**2.
-4*b*(b - 2)*(b + 1)*(2*b - 1)
Let s(a) be the first derivative of -a**6/75 + a**5/50 + a**4/30 - a**3/15 + 14*a + 18. Let p(c) be the first derivative of s(c). Solve p(w) = 0 for w.
-1, 0, 1
Let j(y) = -24*y + 75. Let x be j(3). Determine q so that -5/3 + 79/6*q - 76/3*q**2 - 8/3*q**x = 0.
-10, 1/4
Factor 4/5*x**2 - 22/5*x - 24/5 + 2/5*x**3.
2*(x - 3)*(x + 1)*(x + 4)/5
Let -8*u**3 - u**4 + 376*u + 9 - 392*u - 20*u**2 - 9 = 0. What is u?
-4, -2, 0
Suppose 0 = -m - 0*m + 2. Suppose -5*a + 8 + m = 0. Solve -6*l + l**2 + 3*l**a + 2*l = 0.
0, 1
Let k = -3949 - -3949. Suppose k - 1/4*c**2 - 1/2*c = 0. Calculate c.
-2, 0
Let u = -693 + 2775/4. What is d in -3/4*d**4 + 3/4*d**5 + 0*d + u*d**2 - 3/4*d**3 + 0 = 0?
-1, 0, 1
Suppose -5*i + 24 = -3*o, -5*i = -3*i + 2*o. Suppose -1/2*m**5 + 3/2*m**i - 1/2*m**4 + 0 + 5/2*m**2 + m = 0. What is m?
-1, 0, 2
Let b(h) be the first derivative of -h**7/315 + h**5/45 - h**3/9 - 11*h**2/2 - 3. Let d(g) be the second derivative of b(g). Factor d(o).
-2*(o - 1)**2*(o + 1)**2/3
Let a = 51466 + -51464. Factor 1/9*n**3 + 1/9*n**4 - 1/9*n - 1/9*n**a + 0.
n*(n - 1)*(n + 1)**2/9
Let n(p) = p**2 - 16*p - 54. Let g be n(19). Factor 43*t**3 + 2*t**4 + 51*t**g - 512*t + 214 + 298 + 192*t**2 - 126*t**3.
2*(t - 4)**4
Let p(s) be the second derivative of s**6/5 + 7*s**5/10 - 4*s**3/3 - 33*s - 3. Solve p(g) = 0.
-2, -1, 0, 2/3
Solve -9/7*i**4 + 0*i**2 + 0*i**3 - 3/7*i**5 + 0 + 0*i = 0 for i.
-3, 0
Let l be ((-4)/(-8) - 3)*24/(-15). Let i(p) = -p**2 + 6*p - 8. Let h be i(l). Suppose h + 3/5*f**4 - f**5 - 2/5*f + 7/5*f**3 - 3/5*f**2 = 0. What is f?
-1, -2/5, 0, 1
Let n(g) = -g**2 - 6 - 11*g**2 - g**2 - g**2 - 4*g. Let b(m) = -m**2 - 1. Let j(d) = 6*b(d) - n(d). Factor 