2 + 0. Factor k(y).
(y + 1)*(y + 2)/7
Let o(h) be the second derivative of h**7/4620 + h**6/1980 + h**3 + 2*h. Let t(n) be the second derivative of o(n). Determine y, given that t(y) = 0.
-1, 0
Let m be 4*(0 - (-2)/(-4)*-1). Suppose 0 = m*h + 5*d - 13 + 33, 2*d = 3*h - 8. Factor 1/6*u**4 + h*u**3 + 1/6*u**5 + 0 + 0*u**2 + 0*u.
u**4*(u + 1)/6
Determine p, given that 2/7*p + 2/7*p**2 - 40/7 = 0.
-5, 4
Let 3246*m**3 - 3*m**5 - 66*m**2 - 24*m - 24*m**4 - 6502*m**3 + 3193*m**3 = 0. What is m?
-4, -2, -1, 0
Let c = 123/115 - -3/23. Suppose 55*x = 56*x - 4, 2*p - 3*x = -8. Solve 0 + 2/5*b**4 + 6/5*b**3 + 2/5*b + c*b**p = 0 for b.
-1, 0
Let z be 16/(-272) - (-448)/680. Determine g so that 3/5 - z*g**2 - 3/5*g**3 + 3/5*g = 0.
-1, 1
Suppose 52 = 21*o - 8*o. Factor 0 + 0*f**2 + 0*f + 1/3*f**3 + 1/3*f**o.
f**3*(f + 1)/3
Let d(q) be the second derivative of 10/3*q**4 + 25*q**2 + 85/6*q**3 + 0 + 1/4*q**5 - 5*q. Factor d(f).
5*(f + 1)*(f + 2)*(f + 5)
Let n = 77 - 74. Let d(w) be the third derivative of -1/15*w**n + 3*w**2 + 1/40*w**4 + 1/150*w**5 + 0 + 0*w. Determine r, given that d(r) = 0.
-2, 1/2
Let x(d) = 7*d**2 - 2*d**3 - 24 + 5*d**2 + 3*d + 22. Let l(v) = v**4 - 3*v**3 + 13*v**2 + 3*v - 2. Let r(m) = 3*l(m) - 4*x(m). Factor r(u).
(u - 2)*(u + 1)**2*(3*u - 1)
Let r be ((-35)/10)/(-7)*(1 + 5). Let g(p) be the third derivative of 0 - 6*p**2 - 1/4*p**4 - 1/2*p**r + 1/80*p**6 + 0*p - 3/80*p**5 + 1/280*p**7. Factor g(d).
3*(d - 2)*(d + 1)**2*(d + 2)/4
Let d be ((-2)/(-8)*4)/(3 + -2). Suppose -19 - d = -4*r. Factor -2/3*t**2 + 2/3*t**3 + 1/3*t**4 + 1/3 - 1/3*t - 1/3*t**r.
-(t - 1)**3*(t + 1)**2/3
Solve 1/3*n**4 + n**3 - 1/3*n**2 + 0 - n = 0 for n.
-3, -1, 0, 1
Suppose 2*t - 5*k + 9 = 0, -5*k + 2 = 7. Let v be 17/(-119) - 1/t. Factor -64/9*x**2 + 18*x**4 - 8/9*x + v - 10*x**3.
2*x*(x - 1)*(9*x + 2)**2/9
Let k(o) be the second derivative of -65/12*o**4 + 4 + 3/2*o**5 + 10*o**3 - 1/6*o**6 + 2*o - 10*o**2. Find i such that k(i) = 0.
1, 2
Let j(d) = -5*d**4 - 26*d**3 + 69*d**2 + 720*d - 1726. Let l(z) = z**4 - 2*z**3 - 1. Let y(n) = -j(n) - 2*l(n). Find h such that y(h) = 0.
-8, 3
Factor 2/5*d**2 + 0*d - 4/5*d**3 + 0 + 2/5*d**4.
2*d**2*(d - 1)**2/5
Let v = -569 - -3987/7. Find h such that v*h**2 + 32/7*h + 64/7 = 0.
-4
Let l(f) be the second derivative of -f**7/14 - 7*f**6/5 - 147*f**5/20 - 276*f. Find o such that l(o) = 0.
-7, 0
Let k = 2883 + -2879. Suppose -3 = t - 6. Determine l, given that t*l**k + 0 - 3/2*l**5 + 0*l**2 + 0*l - 3/2*l**3 = 0.
0, 1
Let d(n) be the third derivative of 1/60*n**6 + 0 - 1/10*n**5 + 1/4*n**4 + 0*n - 2*n**2 - 1/3*n**3. Factor d(g).
2*(g - 1)**3
Suppose -q + 17 = -5*g, 2*g + 15 = -3*g. Let 1/3*w + 1/3*w**q - 2/3 = 0. What is w?
-2, 1
Let l = 6 - 8. Let j(y) = -y**2 + 6*y - 5. Let r(h) = -9*h**2 + 60*h - 51. Let o(v) = l*r(v) + 21*j(v). What is f in o(f) = 0?
1
Let z(x) = -x**3 + 10*x**2 + 10*x + 16. Let p be z(11). Let o = p + -3. Suppose 5*u - 3*u**o + 3*u**3 - u**4 - 3*u - u = 0. Calculate u.
0, 1
Let w(h) = h**2 + h. Let q(y) = 10 + 0*y**2 + 2 + 9*y**2 + 6*y**2. Let a(c) = -q(c) + 12*w(c). Factor a(z).
-3*(z - 2)**2
Let x(d) be the first derivative of -2/57*d**3 - 2/19*d**2 + 33 + 0*d. Let x(r) = 0. What is r?
-2, 0
Let d = 669/4 + -167. Let i(t) be the first derivative of 0*t**3 + 3 + 0*t**2 - 1/6*t**6 + 0*t**5 + 0*t + d*t**4. Let i(r) = 0. What is r?
-1, 0, 1
Find p such that -26/5*p**2 - 6/5*p + 4 = 0.
-1, 10/13
Let t be 6*(-1)/10 + (-12)/(-20). Factor 3/2*x**3 + 0 + t*x + 6*x**2.
3*x**2*(x + 4)/2
Let v(j) = j + 6. Let k be v(-1). Solve -o**4 + 3*o**4 - 23*o**2 - o**k + 21*o**2 + o**3 = 0 for o.
-1, 0, 1, 2
Suppose 6 = q + q + 3*g, q - 2*g + 4 = 0. Suppose 4*h = -q + 12. Factor 0*u - 2/11*u**2 + 0 + 0*u**h + 2/11*u**4.
2*u**2*(u - 1)*(u + 1)/11
Let u be -2 + -2 + (20/4 - -4). Let r(d) be the third derivative of -1/150*d**u + 2/15*d**3 + 1/60*d**4 + 0*d + 0 - d**2. Factor r(i).
-2*(i - 2)*(i + 1)/5
Let f = 9724 - 29168/3. Find j, given that 16/3 + f*j**2 + 16/3*j = 0.
-2
Let x(q) be the second derivative of -q**5/140 - 3*q**4/4 + 32*q**3/21 - 226*q. Determine s, given that x(s) = 0.
-64, 0, 1
Factor 2/7*y + 2/7*y**2 - 4/7.
2*(y - 1)*(y + 2)/7
Let g = -121 - -123. Let a(q) be the third derivative of -1/36*q**3 + 0 - 1/72*q**4 - 1/360*q**5 + 0*q + 3*q**g. Factor a(f).
-(f + 1)**2/6
Suppose -71 = -12*r + 13. Let i(n) be the third derivative of 0*n**4 + 1/60*n**6 + 4*n**2 + 0*n - 1/105*n**r + 0*n**3 + 0 + 0*n**5. What is x in i(x) = 0?
0, 1
Let g be (3/(-6) - 0)*-4. Let n = 96 - 93. Solve -5*l**2 + l + 5*l + 2*l**2 - 6*l**g + 3*l**n = 0 for l.
0, 1, 2
Let b(w) be the third derivative of -w**6/30 + 19*w**5/15 - 8*w**4/3 - 24*w**3 - w**2 + 75. Determine j, given that b(j) = 0.
-1, 2, 18
Let p(c) be the second derivative of c**10/6048 + c**9/3024 - c**8/672 - 3*c**4/4 + c. Let q(n) be the third derivative of p(n). Factor q(h).
5*h**3*(h - 1)*(h + 2)
Suppose -1/4*u**2 + 3/2 + 1/4*u = 0. Calculate u.
-2, 3
Let f(q) be the first derivative of q**4/34 + 76*q**3/17 + 4332*q**2/17 + 109744*q/17 - 934. Factor f(n).
2*(n + 38)**3/17
Factor -35*s**3 + 82*s**3 - 39*s**3 + 0*s**4 - 8*s**2 - 2*s**4.
-2*s**2*(s - 2)**2
Suppose -18*a**3 + 24*a + 9 - 15*a**4 - a + 6*a**2 + a**5 - 4*a**5 - 2*a = 0. Calculate a.
-3, -1, 1
Let j be -3 + 48/7 - (-12)/84. Factor 3/4*w**2 + 0 + 3/8*w**j + 0*w - 9/8*w**3.
3*w**2*(w - 2)*(w - 1)/8
Let j = -17 + 27. Let o be j/(-3)*24/(-10). Factor 4*k - 4*k**2 + o + k - k.
-4*(k - 2)*(k + 1)
Let h(y) be the first derivative of 6*y**3 + 48 + 4/7*y + 25/7*y**2. Determine q so that h(q) = 0.
-2/7, -1/9
Let u(f) be the third derivative of f**5/60 + f**4/2 - 5*f**3/3 - 4*f**2. Let n be u(-13). Factor -2/5 + 3/5*r + 1/5*r**2 - 3/5*r**n + 1/5*r**4.
(r - 2)*(r - 1)**2*(r + 1)/5
Let n = 443/10 + -7511/170. Let 0*d**2 + 0 + 0*d + 0*d**3 - n*d**4 = 0. Calculate d.
0
Let b = -25 + 47. Suppose 2*h + 2*g = 70, -g = -2*h + b + 39. Factor 10*d**3 - 14*d**3 - 13*d**3 + 72*d**2 - 3*d**3 - 48*d - h.
-4*(d - 2)**2*(5*d + 2)
Let v(o) = 2*o**2 + o + 2. Let q(r) = 5*r**3 + 40*r**2 + 25*r + 50. Let s(t) = -q(t) + 25*v(t). Factor s(m).
-5*m**2*(m - 2)
Let c = -61 + 63. Factor -83 - 77 + 5*w**c - 10*w + 145.
5*(w - 3)*(w + 1)
Let p(x) be the third derivative of -x**6/660 - 2*x**5/33 - 19*x**4/132 + x**2 - 220. What is i in p(i) = 0?
-19, -1, 0
What is i in -30*i**3 + 62*i**3 + 13 - 13 - 32*i - 20*i**2 - 34*i**3 = 0?
-8, -2, 0
Let l = 142 + -142. Suppose 7*v + v - v**2 + l*v**2 - 4*v = 0. What is v?
0, 4
Let j(a) = -a - 3. Let k be j(-5). Let 4*c + 0*c**2 + k*c + c**2 - 3*c = 0. What is c?
-3, 0
Suppose 2*g + 0*g = -4*b + 6, -5*b + 2*g = -3. Let m be 87/15 + -4 - b. Determine q, given that m*q + 2/5 + 2/5*q**2 = 0.
-1
Let k = 9 - 5. Let -12*x**4 - 3*x**3 - 5*x**3 + 6*x + k - 4*x**5 + 6*x + 8*x**2 = 0. What is x?
-1, 1
Let d(k) be the second derivative of -k**6/5 - 17*k**5/50 - k**4/15 + k + 33. Let d(m) = 0. What is m?
-1, -2/15, 0
Let a be ((-152)/(-2052))/((-1)/6) - (-28)/63. Determine b so that -2/5*b**2 + 0*b + b**3 + 3/5*b**4 + a = 0.
-2, 0, 1/3
Let v(k) be the second derivative of k**6/50 + 3*k**5/50 - k**4/20 - k**3/5 + 98*k. Determine c, given that v(c) = 0.
-2, -1, 0, 1
Let l(o) = -o**3 + 11*o**2 + 37*o + 9. Let g(h) = h**3 - 11*h**2 - 40*h - 8. Let v(m) = -4*g(m) - 5*l(m). Factor v(x).
(x - 13)*(x + 1)**2
Factor -3/4*k**2 + 0 + 15/4*k.
-3*k*(k - 5)/4
Let r(d) be the third derivative of d**5/36 - 23*d**4/72 + 2*d**3/3 + 115*d**2. Find t, given that r(t) = 0.
3/5, 4
Let z = -260 - -264. Let b(y) be the first derivative of 4/7*y + 0*y**3 - 1/14*y**z + 3/7*y**2 - 4. Factor b(k).
-2*(k - 2)*(k + 1)**2/7
Let x = 5579/2 + -2789. Factor -2*w + 1/3*w**2 + 4/3 - 1/6*w**4 + x*w**3.
-(w - 2)**2*(w - 1)*(w + 2)/6
Let v(w) be the second derivative of 0*w**3 + 0*w**5 + 0*w**2 + 1/6*w**6 - 5/12*w**4 + 6*w + 0. Factor v(k).
5*k**2*(k - 1)*(k + 1)
Let -2/7*l**4 + 4/7*l + 2/7*l**2 - 4/7*l**3 + 0 = 0. Calculate l.
-2, -1, 0, 1
Let q be ((-92)/2 - -10)/(-4). Let w(s) be the first derivative of 35/3*s**3 - 75/4*s**4 + 13 - 5/2*s**2 + 0*s + q*s**5. Factor w(g).
5*g*(g - 1)*(3*g - 1)**2
Let m(j) be the third derivative of j**5/60 - j**4/6 - 14*j**3/3 + 7*j**2. Let x be m(8). Factor 1/7*a**x - 1/7 - 2/7*a + 2/7*a**3 + 0*a**2.
(a - 1)*(a + 1)**3/7
Suppose 651*t -