Let u = 3448/3345 - -8/223. Suppose 8/15 + 2/15*o**3 + u*o + 2/3*o**2 = 0. Calculate o.
-2, -1
Let c be 4/8*-4 + 12. Let y be ((-8)/c)/(2/(-50)). What is k in 8*k + 6*k**2 - 181*k**4 + 189*k**4 - 2*k**2 - y*k**3 = 0?
-1/2, 0, 1, 2
What is s in 0 - 10*s**2 - 2/7*s**3 + 10*s**4 + 0*s + 2/7*s**5 = 0?
-35, -1, 0, 1
Let d(t) be the third derivative of 0 + 5/6*t**4 - 1/4*t**5 + 0*t - 1/24*t**6 + 0*t**3 + 26*t**2. Factor d(h).
-5*h*(h - 1)*(h + 4)
Let v = -25382 - -279212/11. Factor 2/11*q**5 + 0*q + 16/11*q**3 - 8/11*q**2 - v*q**4 + 0.
2*q**2*(q - 2)**2*(q - 1)/11
Let 40/7 + 1/7*c**3 + 6/7*c**2 - 36/7*c = 0. What is c?
-10, 2
Let m(p) be the second derivative of 2*p**7/21 - 14*p**6/15 + 18*p**5/5 - 20*p**4/3 + 16*p**3/3 - 387*p. Factor m(g).
4*g*(g - 2)**3*(g - 1)
Let 73/5*m + 1/5*m**2 + 0 = 0. What is m?
-73, 0
Let b(i) = -i**2 + 8*i - 12. Suppose -2*v + 8 = -0*v - 2*p, 3*p = -4*v + 23. Let x be b(v). Find a such that -a**3 + a**3 - 18*a - 3*a**3 - 12*a**2 + a**x = 0.
-3, 0
Suppose -4*f = -23*f + 95. What is g in -5*g**3 - 15*g + 0*g**2 + 41*g**2 - 16*g**2 - f*g**4 = 0?
-3, 0, 1
Suppose -62 = -5*u - 37. Let p(s) be the second derivative of -4/15*s**3 + 0 + 8*s + 0*s**2 + 2/15*s**4 - 1/50*s**u. Factor p(l).
-2*l*(l - 2)**2/5
Let u(t) be the third derivative of 2*t**7/21 - 25*t**6/48 + 9*t**5/8 - 55*t**4/48 + 5*t**3/12 + 384*t**2. Suppose u(f) = 0. What is f?
1/8, 1
Factor 0*n + 5/3*n**3 + 50*n**2 + 0.
5*n**2*(n + 30)/3
Suppose 0 = 7*m - 5*m + 8. Let g be (14/4 + m)/(20/(-16)). Factor g*t**2 + 2/5*t + 0.
2*t*(t + 1)/5
Suppose 4*d = 11*d - 7. Let x be (164/28 + -5)*d. Find b, given that -3/7*b**2 + x*b - 3/7 = 0.
1
Let h(x) be the first derivative of -816/5*x**2 - 1012/5*x**3 + 459/5*x**4 - 243/25*x**5 - 192/5*x - 16. Factor h(s).
-3*(s - 4)**2*(9*s + 2)**2/5
Let o(u) be the first derivative of -10*u**3/3 + 15*u**2/2 + 20*u + 23. Let b(d) = 5*d**2 - 7*d - 10. Let t(z) = -5*b(z) - 2*o(z). Factor t(x).
-5*(x - 2)*(x + 1)
Let f be -48*(-2 + 1)*1. Let k be (-4)/(-3)*(54/f - 1). Solve k*m + 1/3 - 1/6*m**2 = 0.
-1, 2
Factor 6*y**2 + y**3 - 3*y**2 + y**2 + 305*y - 2*y**2 - 308*y.
y*(y - 1)*(y + 3)
Suppose 0 = -3*b - 3*o + 12, 0 = -5*b - 4*o + 9 + 9. Factor 4*m + 2*m**2 + 4*m**3 - m**2 + 11*m**b - 4*m**2.
4*m*(m + 1)**2
Let z be 4/105*(-1 - (-10)/4). Let d(a) be the first derivative of -1/7*a**4 + z*a**5 + 0*a**2 + 0*a + 2/21*a**3 + 4. Determine i so that d(i) = 0.
0, 1
Let m(c) be the first derivative of -c**3/3 + 11*c**2 - 21*c + 194. Factor m(k).
-(k - 21)*(k - 1)
Suppose -105*l - 2439 = -2754. Find a, given that -10/3*a**2 + 5/3*a**5 - 5*a**l + 0*a**4 + 0*a + 0 = 0.
-1, 0, 2
Let w(a) be the first derivative of a**6/1800 + a**5/150 + 2*a**3 - 37. Let t(o) be the third derivative of w(o). Factor t(y).
y*(y + 4)/5
Let n(s) be the first derivative of -s**6/6 - 17*s**5/15 + 3*s**4/4 + 17*s**3/9 - s**2 + 202. Determine j, given that n(j) = 0.
-6, -1, 0, 1/3, 1
Suppose -2*h + 0*h - 6 = -3*c, -3*c + 5*h - 3 = 0. Let -4*m**3 - 5*m**4 + 5*m**4 - 2*m**c + 6*m**4 = 0. Calculate m.
0, 1
Let v be ((-52)/20 - -4)/(2/10). Suppose y - v + 5 = 0. What is d in 1/2*d**5 + 0*d - 1/2*d**4 - d**3 + 0*d**y + 0 = 0?
-1, 0, 2
Let i = -9 - -11. Let k be i/(-9) + 76/18. Factor -7*n - n**3 + 4 - n + 3*n**2 + 2*n**3 - n**k + n**3.
-(n - 2)*(n - 1)**2*(n + 2)
Let y(s) be the first derivative of -5*s**5/3 + 35*s**4/12 + 10*s**3 - 70*s**2/3 + 40*s/3 + 936. Let y(j) = 0. What is j?
-2, 2/5, 1, 2
Let d be ((-405)/(-12))/((-84)/(-48)). Let c = 1271/63 - d. Factor 0*u + 2/9*u**2 - c.
2*(u - 2)*(u + 2)/9
Let m(u) = u + 1. Let y be m(1). Let l(o) = o. Let a be l(y). Determine v, given that 4*v**a + 11*v**2 - 15*v**2 - 2*v**3 = 0.
0
Factor 2/15*c**3 - 2 + 46/15*c - 6/5*c**2.
2*(c - 5)*(c - 3)*(c - 1)/15
Let o(s) be the second derivative of -9*s**7/98 + 5*s**6/14 - 9*s**5/35 - s**4/7 - 41*s. Solve o(c) = 0 for c.
-2/9, 0, 1, 2
Let b = 1099 + -1096. Factor 0 + 0*v + 3/5*v**b + 3/5*v**2.
3*v**2*(v + 1)/5
Let f be ((-168)/(-36))/(4/(-6)). Let m be 1 - (-7)/(f/(-2)). Factor 0*r - 1/3*r**2 + 0 + 2/3*r**m - 1/3*r**4.
-r**2*(r - 1)**2/3
Let q(o) = o**3 - 20*o**2 - 24*o + 39. Let t be q(21). Let a be 4/3*(-7 + (-195)/t). Factor 0 + 0*z - a*z**3 + 3/4*z**4 + 3/4*z**2.
3*z**2*(z - 1)**2/4
Let v = -15 + 15. Factor -5*k**3 - 2*k**3 + 16*k**3 + 3*k**2 + v*k**2.
3*k**2*(3*k + 1)
Suppose -43*o + 47*o = 12, d + o = 9. Let t(f) be the first derivative of f**2 - 1/3*f**3 - f + d. Factor t(c).
-(c - 1)**2
Let i(r) be the second derivative of -r**7/14 - 3*r**6/2 - 45*r**5/4 - 145*r**4/4 - 60*r**3 - 54*r**2 - 56*r. Factor i(g).
-3*(g + 1)**3*(g + 6)**2
Find j such that -28*j**3 + 64*j**2 + 39 - 88*j**2 - 2*j**4 - 13 + 28*j = 0.
-13, -1, 1
Suppose -29 = -3*b - 2. Suppose 4*u + 5*y = -b + 42, -3*u + 26 = 4*y. What is d in -6*d**3 - 61*d**u + 26*d**2 + 4 + 27*d**2 + 2*d = 0?
-1, 2/3
Let 6/7 + 23/7*i - 4/7*i**2 = 0. What is i?
-1/4, 6
Let a(n) = -2*n**3 - n. Let c(s) = -s**4 - 3*s**3 + s**2 - 3*s. Let r(l) = -4*a(l) + 2*c(l). Factor r(j).
-2*j*(j - 1)**2*(j + 1)
Let f(h) be the first derivative of -63*h**5/25 + 132*h**4/5 - 75*h**3 + 132*h**2/5 + 36*h + 168. Let f(n) = 0. Calculate n.
-2/7, 2/3, 3, 5
Factor 100/7*a - 2/7*a**2 - 1250/7.
-2*(a - 25)**2/7
Suppose 14*r + 231 = 17*r. Factor 13 - 4*q**3 - 36*q**2 + r - 60*q + 10.
-4*(q - 1)*(q + 5)**2
Suppose 0 = -7*w + 2*w - 20. Let r be w/(36/(-21)) - 2. Solve r - 1/3*j - 1/3*j**2 + 1/3*j**3 = 0 for j.
-1, 1
Let r(y) be the first derivative of 2 - 8/5*y + 81/25*y**5 - 74/15*y**3 + 22/5*y**2 + 9/20*y**4 - 9/5*y**6. Find v such that r(v) = 0.
-1, 1/2, 2/3
Suppose 0 = -7*a + a + 42. Let h(j) be the second derivative of -a*j + 1/30*j**6 - 3/20*j**5 + 0*j**3 + 1/6*j**4 + 0*j**2 + 0. Suppose h(o) = 0. Calculate o.
0, 1, 2
Let a be ((-220)/(-30))/((-4)/(-72)). Let t be (a/77)/((-10)/(-7)). Determine n, given that -6/5*n + 3/5*n**4 + t*n**3 - 3/5*n**2 + 0 = 0.
-2, -1, 0, 1
Let h be 105/14 - 8 - 3/(-6). Let i(g) be the second derivative of 1/40*g**6 - g + h*g**2 + 0 - 1/16*g**4 - 3/80*g**5 + 1/8*g**3. Factor i(x).
3*x*(x - 1)**2*(x + 1)/4
Let u = 583/3 - 193. Factor 0 + 2/3*s**2 - u*s.
2*s*(s - 2)/3
Let o(k) = -k**3 + 5*k**2 - k + 10. Let q be o(5). Suppose 3*g - 4*a + 1 = 2, 10 = q*a. What is b in 4/9 + 2/9*b**g + 0*b**2 - 2/3*b = 0?
-2, 1
Let b = 2747/9477 + 13/729. Let v = 4 + -2. Factor b*o - 4/13*o**3 - 2/13 + 0*o**v + 2/13*o**4.
2*(o - 1)**3*(o + 1)/13
Let a = 34 + -54. Let l be (-6)/((-5)/(a/(-6))). Solve -23*x**5 + 8*x**l + 15*x**5 + 12*x**5 + 4*x**3 = 0.
-1, 0
Let c = -5077/5 + 1016. Find n such that -6/5*n - c*n**2 - 3/5 = 0.
-1
Let z(o) = 6*o**2 - 15*o + 18. Suppose -u + 6*u = 45. Let j(q) = -3*q**2 + 7*q - 9. Let n(r) = u*j(r) + 5*z(r). Factor n(s).
3*(s - 3)*(s - 1)
Suppose 2*z - 3 + 5 = -4*l, 0 = 4*z + 20. Let d be (5 + -2)*4/6. Factor 5*p**3 + p - l - 6*p**3 + 1 + p**d.
-(p - 1)**2*(p + 1)
Let x(v) be the first derivative of -v**4/20 - 2*v**3/15 + 21*v**2/10 - 18*v/5 + 209. Let x(b) = 0. Calculate b.
-6, 1, 3
Let q be ((-46)/(-36) - 1)*252/315. Determine l so that q*l**5 - 8/9*l**2 + 10/9*l + 8/9*l**4 + 0 - 4/3*l**3 = 0.
-5, -1, 0, 1
Let k(i) be the first derivative of -i**5/45 + i**4/4 - 19*i**3/27 - i**2/2 + 20*i/9 + 226. Suppose k(s) = 0. Calculate s.
-1, 1, 4, 5
Let o(u) = 3*u**3 + 24*u**2 - 85*u + 80. Let l(w) = -13*w**3 - 105*w**2 + 340*w - 321. Let q(p) = 4*l(p) + 18*o(p). Factor q(i).
2*(i - 6)*(i - 1)*(i + 13)
Suppose -4*d = 2*g + 38 - 148, d - 35 = -2*g. Let y be (20/d)/((-4)/(-10)). Factor 3 + 5*n + 5*n**2 - 3 - 10*n**y.
-5*n*(n - 1)
Find t, given that -101/5*t + 10*t**3 + 2/5 + 49/5*t**2 = 0.
-2, 1/50, 1
Let d be (-4)/10 + 3/15*-138. Let k = 28 + d. Let v**4 - 1/2*v**5 + 0 + k*v**3 + 1/2*v - v**2 = 0. What is v?
-1, 0, 1
Let o(p) be the second derivative of -p**5/40 - 19*p**4/24 + 287*p. Solve o(c) = 0.
-19, 0
Suppose 328/5*k - 108/5 - 336/5*k**2 - 4/5*k**4 + 24*k**3 = 0. What is k?
1, 27
Determine y, given that 24*y - 148 - y**2 + 148 - 2*y**2 = 0.
0, 8
Let x = 22834/33 + -7604/11. Let -4/3*o**3 + 0 - 3*o**2 - x*o = 0. Calculate o.
-2, -1/4, 0
Let c = -9 - -9. Suppose c = -4*s - 4, -b - 5*s - 1 = b. Factor -2/9*y**3 + 0 + 4/9*y**b + 0*y.
-2*y**2*(y - 2)/9
Let w(i) = i**2 + 1. Suppose -3*z + z = -4. Suppose 5*v = z*v + 3. Let o(s) = 15*s**3 + 29*s**2 