 o(u) = u**3 - 16*u**2 - 17*u - 3. Let k be o(17). Let a be (-9)/18 - ((-94)/20 - k). Let 9/5*s**4 - a*s**3 + 0 + 0*s**2 + 0*s = 0. What is s?
0, 2/3
Let r = 4 - 2. Let f = 27513 + -82538/3. Find t, given that 2/3 + f*t**r - t = 0.
1, 2
Let d(t) be the first derivative of 5 - 1/11*t**2 - 2/11*t**3 + 2/55*t**5 + 1/22*t**4 + 4/11*t. Find y, given that d(y) = 0.
-2, -1, 1
Let b be (-3)/(-12) + 9/(-4). Let u be 1*(-6)/(-1) + b. Find i, given that -21 - 26 - u*i**2 + 47 = 0.
0
Let b = -360 - -1088/3. Let u(h) be the first derivative of b*h**3 + 6 - 3/2*h**4 - 4*h + h**2. Let u(p) = 0. What is p?
-2/3, 1
Let y(g) = -14*g - 6. Let u be y(-1). Suppose -9*t + 3 = -u*t. Find w, given that 0*w + 1/2*w**t + 1/2*w**2 + 0 = 0.
-1, 0
Let i = 216177 - 118897417/550. Let a = 3/50 - i. Factor -2/11*k**5 + 0 + a*k**3 - 2/11*k**2 + 2/11*k**4 + 0*k.
-2*k**2*(k - 1)**2*(k + 1)/11
Let s be (-1)/3 + (-629)/(-555). Let b be 216/(-45)*4/(-6). What is u in -16/5 - b*u - s*u**2 = 0?
-2
Let k(z) be the second derivative of -z**5/10 + 3*z**4 - 20*z**3 - 200*z**2 - 75*z. Factor k(f).
-2*(f - 10)**2*(f + 2)
Let n(i) = -3*i**2 + 27*i - 24. Let o(x) = -3*x**2 + 27*x - 24. Let r(m) = 5*n(m) - 6*o(m). Factor r(y).
3*(y - 8)*(y - 1)
Let g = -68/3 + 157/6. Let v(z) be the second derivative of -7*z**4 - 2*z**3 + 0*z**2 + 0 - 177/20*z**5 - 5*z - g*z**6. Determine d so that v(d) = 0.
-1, -2/5, -2/7, 0
Let k be (-2160)/(-6)*6/(-15). Let w = k + 1010/7. Factor -w*y**5 + 0*y**4 + 0*y + 0*y**2 + 2/7*y**3 + 0.
-2*y**3*(y - 1)*(y + 1)/7
Let l(a) = a**3 + a**2 - a. Let b(p) = 12*p**3 + 18*p**2 - 8*p. Let o(n) = 2*b(n) - 28*l(n). Let o(v) = 0. What is v?
-1, 0, 3
Suppose 6*n - 23 = 1. Let u(x) be the second derivative of 1/18*x**n + 0*x**2 - 4*x + 0 + 2/9*x**3. Let u(g) = 0. Calculate g.
-2, 0
Solve -1/11*f + 1/11*f**2 + 0 = 0.
0, 1
Let l = -1 - -3. Let o(p) = -p**2 - p**3 + p + p**l + 0*p**2 + 1 - p**2. Let c(r) = r**4 - 3*r**2 + 2. Let x(g) = 3*c(g) - 6*o(g). Find v, given that x(v) = 0.
-2, -1, 0, 1
Let r(d) be the second derivative of 3*d**5/100 + 3*d**4/20 - 13*d**3/10 - 9*d**2/2 - d - 109. Factor r(c).
3*(c - 3)*(c + 1)*(c + 5)/5
Let g(j) be the first derivative of 4 + 1/8*j**4 - 1/360*j**6 + 0*j - 2/3*j**3 + 0*j**2 + 1/60*j**5. Let l(y) be the third derivative of g(y). Factor l(s).
-(s - 3)*(s + 1)
Suppose -5*s + 25 = 5*w, 5*s = -2*w + 31 - 9. Let x(d) be the first derivative of -s*d + 0*d**3 + 4/5*d**5 + 4*d**2 - 2*d**4 + 1. Suppose x(t) = 0. Calculate t.
-1, 1
Let f be 33*(2832/176 - 16). Factor 0 + 7/3*t**4 + 2/3*t**2 + 3*t**f + 0*t.
t**2*(t + 1)*(7*t + 2)/3
Let i(r) be the first derivative of 8/3*r - 1/12*r**4 + 23 - 2*r**2 + 2/3*r**3. Factor i(m).
-(m - 2)**3/3
Let s(g) be the second derivative of -25*g**4/12 + 5*g**3/3 - 70*g. Solve s(u) = 0 for u.
0, 2/5
Let d(c) be the first derivative of 0*c - 1/2*c**2 + 1/9*c**3 - 10. Factor d(x).
x*(x - 3)/3
Suppose 12/5*m**2 + 18/5*m + 0 + 2/5*m**3 = 0. Calculate m.
-3, 0
Factor 39*b**4 + 19*b**4 + 50*b**3 - 323*b - 13*b**4 - 5*b**5 + 323*b.
-5*b**3*(b - 10)*(b + 1)
Suppose -9*i + 3 = -15. Let o be 4/(i - -2)*0. Factor o + 2/3*g**2 + 1/3*g + 1/3*g**3.
g*(g + 1)**2/3
Let k(u) be the second derivative of -u**5/60 - u**4/24 + u**3 - 29*u**2/2 - 19*u. Let z(h) be the first derivative of k(h). Factor z(d).
-(d - 2)*(d + 3)
Let w(a) = 44*a**4 - 184*a**3 + 244*a**2 - 96*a. Let o(h) = -h**5 + h**4 - h**2 - h. Let u be 6/3 + 0 + -1. Let y(b) = u*w(b) + 4*o(b). Factor y(v).
-4*v*(v - 5)**2*(v - 1)**2
Let l = 23/318 - -5/53. Let x(z) be the first derivative of 4*z**3 - 2/3*z - 1 - l*z**2. Let x(f) = 0. What is f?
-2/9, 1/4
Let m be (-2)/(-5) + (-82)/5. Let d be -15 - m - 4/5. Factor 0 - d*i + 1/5*i**2.
i*(i - 1)/5
Let o(q) be the first derivative of -3/7*q**2 + 1/14*q**4 + 2 + 0*q**3 - 4/7*q. Factor o(f).
2*(f - 2)*(f + 1)**2/7
Let s(n) be the second derivative of -2*n + 2/5*n**6 - 2*n**3 + 2/5*n**5 - 2*n**2 + 0 - 2/3*n**4 + 2/21*n**7. Determine j, given that s(j) = 0.
-1, 1
Let u = 103210/7 - 14743. Factor 30/7 - 3/7*h**2 - u*h.
-3*(h - 2)*(h + 5)/7
Factor 0 - 1/3*w**2 + 5/3*w**3 - 4/3*w.
w*(w - 1)*(5*w + 4)/3
Factor 96*l**4 + 2381 + 297*l**2 + 876*l**3 + 135*l**2 + 3*l**5 + 18355 - 2835*l - 12717*l.
3*(l - 2)**2*(l + 12)**3
Factor 82*g + 10 - 5*g**3 + 87*g - 154*g.
-5*(g - 2)*(g + 1)**2
Factor 0 - s + s**2 + 1 + 7*s**3 - 6*s**3 - 2.
(s - 1)*(s + 1)**2
Let z be 389*2/(-10) + (-3)/15. Let h = 235/3 + z. Factor 0 + h*u**3 + 1/3*u**2 - 2/3*u.
u*(u - 1)*(u + 2)/3
Let g(r) be the second derivative of 0*r**2 + 4*r + 1/147*r**7 + 1/105*r**6 - 1/42*r**4 + 0 + 0*r**3 - 1/70*r**5. Factor g(f).
2*f**2*(f - 1)*(f + 1)**2/7
Let a be -3 - (-13 - (-15 + 4) - 12/3). Factor -2/13*u**a + 0 - 4/13*u**2 + 6/13*u.
-2*u*(u - 1)*(u + 3)/13
Let p(g) = 3*g - 5. Let b be p(10). Let o = b + -16. Factor o*f**2 - 5 + 3*f**3 - 6*f**4 + 3*f**4 - 4*f + f - 1.
-3*(f - 2)*(f - 1)*(f + 1)**2
Let h be ((-13)/(-26))/((-1)/(-22)). Let b be h + 1 + 6/(-2). Factor -4*i**2 + i**5 + 6*i**4 + 8*i**3 + 4*i**2 - 4 - b*i - 2*i**2.
(i - 1)*(i + 1)**3*(i + 4)
Let h(m) = -9*m**5 - 16*m**4 - 27*m**3 - 9*m**2 - 11*m - 11. Let w(n) = -3*n**5 - 5*n**4 - 9*n**3 - 3*n**2 - 4*n - 4. Let z(q) = 4*h(q) - 11*w(q). Factor z(r).
-3*r**2*(r + 1)**3
Let t be (2/11)/((-16)/(-8)). Let 0*s**2 + t*s**4 + 0 + 2/11*s**3 + 0*s = 0. What is s?
-2, 0
Solve 26 + 22 - 164*i - 507*i**4 + 523*i**4 + 171*i**3 - 7*i**5 - 64*i**2 = 0 for i.
-4, -1, 2/7, 1, 6
Find s such that 58*s**3 + 42*s**4 - 178*s**2 - 120*s - 18 - 931*s**5 + 921*s**5 + 90 - 8*s**4 = 0.
-2, -1, 2/5, 3
Let u(t) = -4*t - 37. Let h be u(-12). Factor -4*r + 4*r**3 - 35*r**2 + 40*r + h*r**2.
4*r*(r - 3)**2
Let z be ((-91)/(-65) - 1)*20/2. Let j(p) be the second derivative of 0*p**3 + 0 + 8*p + 0*p**2 + 0*p**z - 2/15*p**6 - 1/5*p**5. Suppose j(s) = 0. What is s?
-1, 0
Let n(t) be the third derivative of -t**7/105 + t**6/48 + 7*t**5/120 - t**4/24 + 2*t**2 - 6*t. What is j in n(j) = 0?
-1, 0, 1/4, 2
Let z(o) = -2*o**3 + 2*o**2 + 5*o + 4. Let p(g) = -11*g**3 + 13*g**2 + 31*g + 24. Let t(m) = -6*p(m) + 34*z(m). Determine c so that t(c) = 0.
-2, -1
Let x(t) be the third derivative of t**5/30 + t**4/12 + 3*t**2. Let y(g) = -6*g**2 + 2*g**2 - 5*g - 5*g - 6*g**2. Let i(k) = -14*x(k) - 3*y(k). Factor i(l).
2*l*(l + 1)
Let n(w) = 3*w**2 - 7*w - 10. Let y be (-10 - -16)/(2/11). Let g(h) = -24*h**2 + 57*h + 81. Let x(z) = y*n(z) + 4*g(z). Let x(k) = 0. Calculate k.
-1, 2
Let x be (5 + 0)/(2/6). Let n = x - 12. Factor n*b**2 + b**3 - 3 - 4 + 3*b + 8.
(b + 1)**3
Suppose 8*v = 3*v - 50. Let w = v + 12. Find g such that -w*g - g - 1 + 5*g - g**2 = 0.
1
Factor 3/2*o**3 - 3/2*o - 3 + 3*o**2.
3*(o - 1)*(o + 1)*(o + 2)/2
Let c(o) be the third derivative of o**5/15 + 3*o**4/8 - o**3/2 + 5*o**2. Let u(b) = 5*b**2 + 10*b - 3. Let n(r) = 6*c(r) - 5*u(r). Factor n(z).
-(z - 3)*(z - 1)
Determine w so that -54 + 20*w**3 + 81*w + 368*w**2 - 344*w**2 - 3*w**5 + 30*w**4 - 98*w**3 = 0.
-1, 1, 3, 6
Suppose 7*i - 4 + 2 - i + 8*i**2 = 0. What is i?
-1, 1/4
Let z = -465 + 931/2. Factor 0 - z*y**4 + 0*y + 1/2*y**2 + 0*y**3.
-y**2*(y - 1)*(y + 1)/2
Factor 2*t**5 + 96*t**3 - 26*t**4 - 191 + 406 + 64*t - 215 - 136*t**2.
2*t*(t - 8)*(t - 2)**2*(t - 1)
Let u(p) be the second derivative of p**5/80 + 5*p**4/48 + p**3/3 + p**2/2 + 7*p + 39. Determine m, given that u(m) = 0.
-2, -1
Let p(o) be the first derivative of o**5/50 + o**4/15 - o**3/15 - 2*o**2/5 - 19*o - 2. Let v(a) be the first derivative of p(a). Let v(z) = 0. What is z?
-2, -1, 1
Suppose 5*p + n = -88, 2*p + 6 = 2*n - 22. Let y be (-2)/p + (-1584)/(-408). Suppose -1/3*m**y + 0 + 4/3*m**3 + 0*m - 4/3*m**2 = 0. Calculate m.
0, 2
Let l(m) be the second derivative of -m**8/10080 - m**7/1260 - m**6/540 + 13*m**4/12 - 7*m. Let k(c) be the third derivative of l(c). Factor k(z).
-2*z*(z + 1)*(z + 2)/3
Let g(h) = h**2 + 9*h - 34. Let b(z) = -z**2 - 9*z + 36. Let o(s) = -6*b(s) - 7*g(s). Factor o(c).
-(c - 2)*(c + 11)
Find m such that 0*m + 119/3*m**3 - 40/9*m**4 + 98*m**2 + 0 + 1/9*m**5 = 0.
-2, 0, 21
Let l be 21/(-35) + 4 + -3. Let h(f) be the first derivative of -1/2*f**4 + 0*f**2 + 7 + l*f**5 - 4/3*f**3 + 0*f. Factor h(n).
2*n**2*(n - 2)*(n + 1)
Let q(o) be the first derivative of -o**5/5 + 15*o**4/4 - 21*o**3 + 49*o**2/2 - 82. Suppose q(a) = 0.