s**4/10 + 22*s**3/45 - 44*s - 1. Determine o, given that p(o) = 0.
-11, -1, 0, 1, 2
Let l(w) be the second derivative of 4/21*w**2 + 1/210*w**5 - 1/42*w**4 + 0*w**3 + 0 - 40*w. Factor l(y).
2*(y - 2)**2*(y + 1)/21
Let a = 39 - 37. Let y be (2 + -2)/(-2) - -2. Find j such that 0*j**y - 3 - 7*j**2 + 5*j**2 + 5*j**a = 0.
-1, 1
Let t(p) = p**3 - p**2 - p - 2. Let a(g) = -18*g**3 + 16*g**2 + 31*g + 18. Let d(j) = -3*a(j) - 21*t(j). Factor d(n).
3*(n - 2)*(n + 1)*(11*n + 2)
Let x(y) = -y**3 + 2*y**3 - y + 63*y**4 - 64*y**4. Suppose j - 4 = -5. Let d(z) = 3*z**5 + 11*z**4 + 3*z**3 + 2*z. Let w(o) = j*d(o) - 3*x(o). Factor w(p).
-p*(p + 1)**3*(3*p - 1)
Let d(u) be the third derivative of -u**5/150 - u**4/30 + u**3/5 - 3*u**2 - 5*u. Factor d(f).
-2*(f - 1)*(f + 3)/5
Let j(w) = -3*w**2 - 3*w + 4. Let u(g) = -3*g + g**2 + 11 - 7 - 5*g**2. Let r(f) = 3*j(f) - 2*u(f). Suppose r(o) = 0. What is o?
-4, 1
Suppose 0 = -2*n + b + 4, 39*b - 16 = -2*n + 37*b. Let u(k) be the third derivative of 5/72*k**n - 1/9*k**3 + 1/60*k**5 + 0 - 9*k**2 + 0*k. Factor u(a).
(a + 2)*(3*a - 1)/3
Suppose 4*m - 23 - 1 = -2*a, 3*m = -5*a + 46. Factor 5/6*o**4 + 1/6*o**5 + 0 + 1/3*o + 7/6*o**m + 3/2*o**3.
o*(o + 1)**3*(o + 2)/6
Let n(s) be the first derivative of s**5/40 + 3*s**4/32 - s**3/4 - 7*s**2/4 - 3*s - 175. Factor n(h).
(h - 3)*(h + 2)**3/8
Let f(w) = 0*w + 3*w**2 - w + w**2 - 3*w**2 + 1. Let s(a) = a**4 + 3*a**3 - 2*a**2 + 6*a - 5. Let j(n) = 15*f(n) + 3*s(n). Factor j(o).
3*o*(o + 1)**3
Suppose 13*r + 14 = 79. Let c(g) be the first derivative of r - 3*g**2 + 2/3*g**3 + 4*g. Suppose c(m) = 0. Calculate m.
1, 2
Let a(m) = m**3 - 4*m**2 - m - 17. Let y be a(5). Factor 4*w**y + 12*w**4 - 12*w**2 + 0*w + 16/5 - 36/5*w**5.
-4*(w - 1)**3*(3*w + 2)**2/5
Let f(r) be the first derivative of r**2 - 1/3*r**3 + 3*r - 2. Solve f(x) = 0.
-1, 3
Let d(u) be the first derivative of 2*u**3/21 - u**2/7 - 12*u/7 - 27. Find y such that d(y) = 0.
-2, 3
Let i(q) be the third derivative of 5*q**9/1008 - q**8/168 - q**7/168 - 10*q**3/3 + 6*q**2. Let t(c) be the first derivative of i(c). Factor t(a).
5*a**3*(a - 1)*(3*a + 1)
Let j(h) be the third derivative of -h**7/72 - h**6/72 - 3*h**4/4 - 13*h**2. Let w(t) be the second derivative of j(t). Determine f so that w(f) = 0.
-2/7, 0
Let g = -15 - -10. Let u(a) = -a**3 - 5*a**2 + 2. Let i be u(g). Factor 12 - 2*c - 2*c**i - 1 + 2*c**3 - 9.
2*(c - 1)**2*(c + 1)
Let j(u) be the second derivative of u**5/10 - u**4/6 - 3*u - 1. Factor j(y).
2*y**2*(y - 1)
Suppose 4*o - 2 = 10. Let 12*r**2 - r**4 - 23*r**3 + 9*r**o - 5*r**4 = 0. What is r?
-3, 0, 2/3
Factor -57*w**2 + 21*w + 17*w**3 - 12*w - 20 + w**4 + 13*w + 9*w + 28*w.
(w - 1)**3*(w + 20)
Suppose -r + 0*r = -2. Suppose 3*n - 4*f + 7*f + 3 = 0, r*f - 4 = -5*n. Suppose -14 - 4*u - 98*u**2 + 6 + 102*u**n = 0. What is u?
-1, 2
Let c = -57 + 59. Find a, given that 23 + 25 + 48*a + 28*a**c - 64 = 0.
-2, 2/7
What is j in j**2 + 3*j**2 - 36*j - 7*j**2 - 84 - 24 = 0?
-6
Factor -3/2*f**2 + 60*f + 123/2.
-3*(f - 41)*(f + 1)/2
Let g(w) be the third derivative of 0*w - 1/15*w**3 + 0 + 5*w**2 + 1/40*w**4 - 1/300*w**5. Factor g(s).
-(s - 2)*(s - 1)/5
Let m(l) = -50*l**2 - 105*l - 15. Let r(x) = 7*x**2 + 15*x + 2. Let i(q) = 2*m(q) + 15*r(q). Determine v, given that i(v) = 0.
-3, 0
Factor 1/11*g**4 - 2/11*g**2 - 12/11*g + 3/11*g**3 - 8/11.
(g - 2)*(g + 1)*(g + 2)**2/11
Find o such that 13/2*o + o**2 - 1/2*o**3 + 5 = 0.
-2, -1, 5
Let u(v) be the second derivative of 1/6*v**3 + 0 - 1/80*v**5 + v**2 - 1/24*v**4 + 7*v. Factor u(m).
-(m - 2)*(m + 2)**2/4
Let o(f) = -16*f**2 + 6. Let t(z) = 17*z**2 + 2*z - 5. Let w(v) = -5*o(v) - 6*t(v). Factor w(l).
-2*l*(11*l + 6)
Let a = 257 + -254. Let c = 905 + -11755/13. Solve c*w**a - 2/13 - 6/13*w**2 - 10/13*w + 8/13*w**4 = 0 for w.
-1, -1/4, 1
Let z(q) = -q**2 - 10*q + 3 - 6*q - q**2 + q**2. Let m be z(-16). Factor a + 20*a**4 + m*a - 36*a**3 - 6*a - 4*a**5 + 28*a**2 - 6*a.
-4*a*(a - 2)*(a - 1)**3
Suppose x = 4*d - 6, 5 = -2*x + 4*d - 3*d. Let f(y) = 5*y**2 + 20*y + 18. Let v(i) = 110*i**2 + 440*i + 395. Let u(l) = x*v(l) + 45*f(l). Factor u(p).
5*(p + 2)**2
Let g(y) be the first derivative of -11 + 25/3*y**3 + 5/4*y**4 + 15*y + 35/2*y**2. Factor g(u).
5*(u + 1)**2*(u + 3)
Suppose 0 = -c - c - 3*x - 12, 5*c + 2*x + 19 = 0. Let p = 2 - c. Factor 2*i + 4*i**2 - 2*i**p + 0*i - 2*i**4 - 2*i**4.
-2*i*(i - 1)*(i + 1)**3
Let c(b) be the first derivative of b**6 + 2*b**5/5 - 15*b**4/2 - 10*b**3/3 + 12*b**2 + 8*b + 456. Suppose c(o) = 0. What is o?
-2, -1, -1/3, 1, 2
Let m = 3 - -11. Let r = m + -12. Find n such that n - n**r + 3 - 1 - 2*n = 0.
-2, 1
Let c(x) be the third derivative of 0 + 1/945*x**7 + 2*x**2 + 0*x + 1/270*x**5 + 1/36*x**4 - 1/180*x**6 - 2/27*x**3. Factor c(s).
2*(s - 2)*(s - 1)**2*(s + 1)/9
Suppose 0 = -12*x - 35 + 11. Let y be x - ((-17)/4 + (-11 - -11)). Suppose -13/4*c**3 + 6*c**4 - y*c**5 + 0 + 1/2*c**2 + 0*c = 0. What is c?
0, 1/3, 2
Let n(t) = t**2 + 3*t - 2. Let z be n(-4). Solve 0*k**3 - k + 3*k**3 - 1 - z*k**3 + k**2 = 0 for k.
-1, 1
Find v such that -12/5*v + 0*v**2 + 3*v**3 + 0*v**4 + 0 - 3/5*v**5 = 0.
-2, -1, 0, 1, 2
Let p = 10 - 8. Factor 3*z**5 - 10*z + 4*z**4 + 3*z - 6*z**2 + p*z**4 + 4*z.
3*z*(z - 1)*(z + 1)**3
Factor -736/3*m**2 + 0 - 1/9*m**4 + 2116/9*m + 31/3*m**3.
-m*(m - 46)**2*(m - 1)/9
Factor -39/8*l + 1/8*l**3 + 5/2 + 9/4*l**2.
(l - 1)**2*(l + 20)/8
Let d(n) = -7*n - 35. Let t be d(-6). Determine b so that -17*b**4 + 23*b - 8*b**2 + t*b**4 + 26*b**3 - 31*b = 0.
-2/5, 0, 1, 2
Let i be 3 + 8 + (-425)/51. Solve -14/9*y**2 + 8/9 - i*y = 0 for y.
-2, 2/7
Let m(h) = 233*h - 2327. Let r be m(10). Let 0*z**r + 0 + 3/4*z**2 + 1/2*z - 1/4*z**4 = 0. What is z?
-1, 0, 2
Let o be (-2160)/1300*4/6. Let a = o - -17/13. Factor -3/5*v + 1/5*v**2 + 3/5*v**3 - a.
(v - 1)*(v + 1)*(3*v + 1)/5
Factor -18/5*t**2 + 0 + 2*t**4 - 6/5*t**3 - 2/5*t**5 + 0*t.
-2*t**2*(t - 3)**2*(t + 1)/5
Let h(d) be the third derivative of 1/24*d**6 - 1/3*d**5 + 25/24*d**4 - 2*d**2 + 0 + 0*d - 5/3*d**3. Factor h(q).
5*(q - 2)*(q - 1)**2
Let l(k) = -8*k**4 + 3*k**3 + 13*k**2 - 13. Let h(i) = -2*i**4 + i**3 + 3*i**2 - 3. Let s(c) = 26*h(c) - 6*l(c). Factor s(a).
-4*a**3*(a - 2)
Find q such that 21/4*q + 1/4*q**5 + 17/2*q**2 + 13/2*q**3 + 5/4 + 9/4*q**4 = 0.
-5, -1
Let v = 11 - 7. Suppose -3*d + v = -j, d + 3*j = -j + 10. Suppose -2*m**3 - 7*m + 6*m**d - 10*m**4 + 4*m**4 + 9*m = 0. What is m?
-1, -1/3, 0, 1
Let h(y) be the first derivative of y**4 + 16*y**3/3 + 8*y**2 + 173. Let h(r) = 0. What is r?
-2, 0
Factor 235 - 30 - 13 - 160*k**2 - 12*k**3 - 87*k - 89*k.
-4*(k + 2)*(k + 12)*(3*k - 2)
Let p be 1*(-1)/3*-6. Suppose -x - 3*h = 1, 1 = h + p. Let -4*w**2 + w - x*w**4 - w**5 + 6*w**2 - 3*w + 3*w = 0. What is w?
-1, 0, 1
Let n be (-4 - (-3 + -5)) + -1. Factor -3*x**2 + n*x + 5*x - 15*x + 4*x.
-3*x*(x + 1)
Factor -38*d**3 + 18*d + 99*d**4 + 24*d**2 - 107*d**4 + 34*d**3 + 2*d**5.
2*d*(d - 3)**2*(d + 1)**2
Suppose -247*i + 39 = 82 - 537. Determine j so that 2/3 - i*j + 4/3*j**2 = 0.
1/2, 1
Let m(a) be the first derivative of -a**4/34 + 126*a**3/17 - 11907*a**2/17 + 500094*a/17 + 166. Solve m(g) = 0 for g.
63
Suppose -12 = -3*a - a. Let z = -2990/11 - -272. Let 0*q + 0 - z*q**a + 2/11*q**2 = 0. What is q?
0, 1
Let h(g) = g**2 + g + 13. Let y be h(7). Let p = 71 - y. Determine q so that 1/3*q**3 + 0 + 0*q - 1/3*q**p = 0.
0, 1
Factor 7/4*b**2 + 5/2*b + 0 + 1/4*b**3.
b*(b + 2)*(b + 5)/4
Let x be ((-3474)/21)/((-39)/(-21) - 2). Solve -u**3 - 6*u**2 + 0*u**3 - x*u + 1153*u = 0.
-5, -1, 0
Let z be (-116)/(-5)*(-236)/(-48)*2. Let i = -228 + z. Solve 0 - 2/15*d**3 + 2/15*d**5 - 2/15*d**4 + i*d**2 + 0*d = 0 for d.
-1, 0, 1
Let l(o) be the second derivative of 2*o**5/115 - 11*o**4/138 + 5*o**3/69 + 2*o**2/23 - 3*o + 28. Factor l(w).
2*(w - 2)*(w - 1)*(4*w + 1)/23
Let k(c) be the first derivative of 2 - 4/3*c**6 - 7*c**3 - 9/4*c**2 - 28/5*c**5 - 73/8*c**4 + 0*c. Let k(n) = 0. What is n?
-1, -3/4, 0
Let d(c) be the third derivative of -9*c**6/160 + 177*c**5/80 - 115*c**4/32 + 19*c**3/8 - 50*c**2. Let d(q) = 0. Calculate q.
1/3, 19
Let b(d) = -8*d + 43. Let z be b(3). Let i be 18 - z - (-18)/14. Factor i*t**3 + 0 + 0*t + 2/7*t**2.
2*t**2*(t + 1)/7
Let k(m) be the third derivative of m**6/40 - 7*m**5/20 + 2*m**4 -