24*o**4 + 8*o**3 - 8*o - 8. Let q(h) = 8*h**5 - 8*h**4 + 3*h**3 - 3*h - 3. Let p(f) = 8*q(f) - 3*t(f). Find r such that p(r) = 0.
0, 4
Suppose 5 = 2*d - p - 4, d - 5*p + 18 = 0. Factor 2*t**2 + 3*t**3 + 4 + 6*t**2 - 12*t**2 - 10*t + d*t**3.
2*(t - 1)*(t + 1)*(5*t - 2)
Suppose -v = h - 5, -2*v = 3*h - 3 - 8. Suppose -12 = -j - 2*d, -2*d - d = v*j - 28. Solve j*l**4 + 12*l**3 + 6*l - 16*l - 6*l + 0*l**4 = 0.
-2, 0, 1
Let o be 20/6 + 27/(-81). Determine d, given that 24*d - 30*d**2 + 14*d**2 + 2*d**o + 16 + 13*d**2 + 15*d**2 = 0.
-2
Let k be (15/18)/(-3 + 3/2). Let i = 7/9 + k. Determine l, given that -i*l**2 + 4/9*l**3 - 2/9*l**4 + 0 + 0*l = 0.
0, 1
Let l be (-2)/7 + 46/14. Let m be ((-60)/25 - 6/(-15))*-1. Factor 0*c**3 - m*c**l - 4*c**2 - c**3 + c**3.
-2*c**2*(c + 2)
Let w(h) be the second derivative of -h**5/50 + h**4/5 - 117*h. Determine m so that w(m) = 0.
0, 6
Let l be (-5)/(-3) + (-2)/(-6). Let f(d) = -d - 5. Let u be f(-8). Determine s, given that -2*s**2 + 0*s**4 + 7*s**2 - u*s**4 - l*s**4 = 0.
-1, 0, 1
Let b(l) = l**4 + l**2 + l + 1. Let m(k) = 2*k**4 + 8*k**3 + k**2 + 7*k + 6. Let a = 55 - 61. Let p(y) = a*b(y) + m(y). Factor p(z).
-z*(z - 1)*(2*z - 1)**2
Let t = -21 + 38. Let l = t - 14. Factor c**4 + 4*c**3 + c**4 + 2*c - 5*c**2 - l*c**4.
-c*(c - 2)*(c - 1)**2
Let g(d) = 8*d**3 + 16*d**2 - 8*d - 16. Let s(c) = c**3 + 2*c**2. Let q(p) = g(p) - 6*s(p). Solve q(u) = 0.
-2, 2
Let m be 4 + 2 + -1 - 3228/648. Let h(k) be the second derivative of -1/135*k**6 + 0 - 2/27*k**3 - 2*k + 1/45*k**5 + 0*k**2 + m*k**4. Factor h(l).
-2*l*(l - 2)*(l - 1)*(l + 1)/9
Let i be 7012/(-1040) + 7 - 4/16. Let h(x) be the second derivative of -1/195*x**6 + 0 + 0*x**2 + 1/78*x**4 + 1/39*x**3 + 7*x - i*x**5. Let h(m) = 0. What is m?
-1, 0, 1
Let o(c) = -2*c**4 - c**3 + c**2. Let r(p) = 20*p**5 - 35*p**4 - 500*p**3 - 1380*p**2 - 1280*p - 240. Let x(i) = -20*o(i) + r(i). Factor x(t).
5*(t - 6)*(t + 2)**3*(4*t + 1)
Let m(z) be the second derivative of 0 - 11/12*z**4 - 21*z - 9/20*z**5 + 0*z**2 - 1/3*z**3. Find k such that m(k) = 0.
-1, -2/9, 0
Let u(n) be the second derivative of 0 + 10*n - 1/10*n**6 + 0*n**3 + 3/20*n**5 + 1/2*n**4 + 0*n**2. Let u(j) = 0. Calculate j.
-1, 0, 2
Let n be (-74)/(-30) + (14 - 621/45). Let o(u) be the first derivative of -4/3*u**4 - 2 + 4/15*u**5 + 4/3*u**3 + n*u**2 - 16/3*u. Factor o(a).
4*(a - 2)**2*(a - 1)*(a + 1)/3
Factor -32/3*m - 16 - 4/3*m**2.
-4*(m + 2)*(m + 6)/3
Let a(y) = -8*y**3 + 307*y**2 + 564*y - 159. Let d(c) = -c**2 - 1. Let l(u) = a(u) + d(u). Let l(i) = 0. What is i?
-2, 1/4, 40
Let l be 14/2*(-20)/(-35). Let j(o) be the third derivative of 0*o**3 + 0*o - 9*o**2 + 0 + 1/8*o**l + 1/60*o**5. Suppose j(c) = 0. Calculate c.
-3, 0
Let d be (-112)/(-2) - (-5 - -1). Let s be 10*-4*(-4)/d. Find h such that -s*h - 2/3*h**2 - 8/3 = 0.
-2
Let s(n) be the second derivative of n**5/10 - 3*n**3 - 3*n + 11. Factor s(f).
2*f*(f - 3)*(f + 3)
Suppose -5*l + 6 = 359*v - 360*v, 0 = 2*v - 2*l - 4. Find s, given that s + 29/4*s**3 - 9/4*s**v - 6*s**2 + 0 = 0.
0, 2/9, 1, 2
Suppose 9/5*g**2 - 3/5*g**3 + 0 + 6/5*g - 9/5*g**4 - 3/5*g**5 = 0. Calculate g.
-2, -1, 0, 1
Let h(w) = w**3 + w**2. Let o(y) = -12*y**3 - 34*y**2 + 86*y - 60. Let f(d) = 20*h(d) + 2*o(d). Suppose f(x) = 0. What is x?
-15, 1, 2
Let x(i) be the third derivative of i**6/200 + 2*i**5/25 - i**4/8 - 42*i**3/5 + 76*i**2 + i. Determine s so that x(s) = 0.
-7, -4, 3
Determine w so that 2/7*w**3 + 16/7*w**2 - 24/7*w + 0 - 2/7*w**4 = 0.
-3, 0, 2
Let k(v) be the second derivative of v**5/20 + v**4/12 - 9*v. Let g(x) = x**3 + x**2. Let b(d) = -5*g(d) + 8*k(d). Find o, given that b(o) = 0.
-1, 0
Let b be (-6 + (-50)/(-8))/((-4)/(-64)). Let p(j) be the first derivative of 4*j - b*j**2 + 3 + 4/3*j**3. Determine z so that p(z) = 0.
1
Let h = -6975/8 + 872. Find t such that 1/8*t + 1/4 - h*t**2 = 0.
-1, 2
Suppose 8 = d + 6. What is i in 2*i**4 + 0*i**4 - 2*i**d + 26*i**2 + 8 - 24*i + 2*i**2 - 12*i**3 = 0?
1, 2
Let z(u) = u**5 - u**4 + u**3 + 1. Let a(f) = -9*f**5 + 6*f**4 + 9*f**3 - 12*f - 6. Let l(m) = -a(m) - 6*z(m). Suppose l(q) = 0. What is q?
-2, -1, 0, 1, 2
Let i(u) = -u**2 - 14*u + 18. Let x be i(-15). Suppose -110*v**2 + 26*v**3 - 45*v**4 - 40*v - 28*v**x - 87*v**3 - 31*v**3 - 5 = 0. What is v?
-1, -1/3
What is h in -62658/5*h**2 - 708/5*h**3 - 3/5*h**4 - 2464548/5*h - 36352083/5 = 0?
-59
Let 89*r**3 + 8*r - 30*r**4 + 149*r**3 + 126*r**4 - 54*r**3 + 100*r**2 + 148*r**3 - 144*r**5 = 0. What is r?
-1, -1/6, 0, 2
Suppose 5*i = 7*i - 70. Let p = -33 + i. Factor 6/7*g - 10/7*g**p + 4/7.
-2*(g - 1)*(5*g + 2)/7
Suppose -1525*v + 280 = -1469*v. Factor 0 + 4/9*r**2 + 0*r - 2/9*r**v + 2/3*r**3 + 0*r**4.
-2*r**2*(r - 2)*(r + 1)**2/9
Let c = 112 + -110. Suppose -18 = -c*j - 14. Factor -8/15*k**j - 2/15 + 2/3*k.
-2*(k - 1)*(4*k - 1)/15
Let a(t) be the first derivative of 9/5*t**5 - 15/2*t**2 + 1/6*t**6 + 7/2*t**4 + 25*t - 34/3*t**3 - 20. Factor a(v).
(v - 1)**2*(v + 1)*(v + 5)**2
What is m in 10*m - 7*m**2 - 1/2*m**5 - 21/2*m**3 - 4*m**4 + 12 = 0?
-3, -2, 1
Suppose -6*r - 185 = 757. Let n = r + 160. Factor -2/3*s - 2/9*s**n - 10/9*s**2 + 2.
-2*(s - 1)*(s + 3)**2/9
Suppose i = -1, -4*i + 5*i = g - 3. Suppose -3*u + 2*u + 3*b + 3 = 0, 2*b = 3*u - g. Suppose u*d**2 + 1 + d - d**2 - 2 + d = 0. What is d?
1
Let j(i) = 3*i**4 - 10*i**3 + 29*i**2 - 27*i. Let k(z) = 5*z**4 - 15*z**3 + 42*z**2 - 40*z. Let s(o) = -8*j(o) + 5*k(o). Factor s(v).
v*(v - 2)*(v - 1)*(v + 8)
Let i be 32 + (-2 - 2) - 1/(-1). Suppose i = 3*g + 4*u, 3*g + 0*u = -u + 14. Find t such that -42/5*t**2 + 27/5*t**4 + 36/5*t - 9*t**g + 24/5 = 0.
-2/3, 1, 2
Let y(p) be the second derivative of -1/18*p**3 + 1/18*p**4 + 0 - 1/60*p**5 - 11*p + 0*p**2. Suppose y(z) = 0. Calculate z.
0, 1
Determine r so that 19/2*r - 1/4*r**2 - 361/4 = 0.
19
Let u = 149 - 151. Let j be 11*u/(-4) + -4. Factor j*k**2 + 3*k + 3/2.
3*(k + 1)**2/2
Determine v so that -16/7*v + 0 + 12/7*v**2 + 4/7*v**3 = 0.
-4, 0, 1
Let h(f) be the third derivative of -f**5/75 + f**4/12 + 93*f**2. Suppose h(a) = 0. Calculate a.
0, 5/2
Suppose 4*w + 16 = 2*h, -9 = h - w - 15. Let o(z) be the second derivative of -1/30*z**h + 1/15*z**3 + 0*z**2 - 1/50*z**5 + 0 + 1/75*z**6 + z. Factor o(r).
2*r*(r - 1)**2*(r + 1)/5
Let y be (1/(-1))/(1/(-3)). Factor -37*w**3 - 4*w + 9*w**3 - 5 - y - 4 + 44*w**2.
-4*(w - 1)**2*(7*w + 3)
Let i(s) be the second derivative of -s**6/105 + 11*s**5/70 + 13*s**4/14 + 41*s**3/21 + 2*s**2 - 26*s - 3. Factor i(h).
-2*(h - 14)*(h + 1)**3/7
Let i(k) be the first derivative of 1 + 0*k**2 + 0*k**5 + 0*k**4 + 0*k + 2*k**3 - 1/1620*k**6. Let p(d) be the third derivative of i(d). Solve p(o) = 0 for o.
0
Factor -10/3*m**2 - 2*m**4 + 0 + 1/3*m**5 + 4*m**3 + m.
m*(m - 3)*(m - 1)**3/3
Let p(f) be the third derivative of f**6/300 - 103*f**5/150 + 901*f**4/20 - 867*f**3/5 + 25*f**2 + 1. Determine j, given that p(j) = 0.
1, 51
Solve 35*s**3 - 72*s**3 + 3*s**2 - 3*s**4 + 9*s + 28*s**3 = 0.
-3, -1, 0, 1
Let g(k) be the second derivative of k**8/50400 - k**7/6300 + 19*k**4/12 - 27*k. Let d(h) be the third derivative of g(h). Determine b so that d(b) = 0.
0, 3
Let f(r) be the first derivative of -1/15*r**3 + 7/20*r**2 - 5 - 1/40*r**4 - 2/5*r. Factor f(x).
-(x - 1)**2*(x + 4)/10
Let c(x) be the first derivative of x**6/27 - 4*x**5/5 + 31*x**4/9 - 176*x**3/27 + 19*x**2/3 - 28*x/9 + 577. Let c(w) = 0. Calculate w.
1, 14
Let j(r) = 6*r**3 - 11*r**2 + 7*r**2 - 4*r**3 + 4*r**3 - 6*r. Let w(y) = -19*y**3 + 12*y**2 + 17*y. Let z(a) = -7*j(a) - 2*w(a). Suppose z(b) = 0. Calculate b.
-1, 0, 2
Factor n**2 - 25 - 2*n**2 + 14*n - 4*n**2 + 21*n - 5*n.
-5*(n - 5)*(n - 1)
Let u = -19709/45 - -438. Let v(o) be the second derivative of -1/15*o**5 - u*o**6 + 1/6*o**4 - 6*o - 4/3*o**2 + 0 + 4/9*o**3. Factor v(t).
-2*(t - 1)**2*(t + 2)**2/3
Let t be 177/((-8)/14 - (-203)/98). Let o = t + -116. Factor 2/9*k**o - 4/9*k + 2/9*k**3 + 0.
2*k*(k - 1)*(k + 2)/9
Let x = -729 + 734. Let r(f) be the second derivative of -f**2 + 0 - 1/6*f**3 + 1/6*f**4 + 1/20*f**x + 7*f. Suppose r(s) = 0. What is s?
-2, -1, 1
Let g = 7052 + -7050. Determine y, given that -2/17*y - 8/17*y**3 + 10/17*y**g + 0 = 0.
0, 1/4, 1
Suppose 5*k - 10*k = 0. Factor -3 - 8*h**2 + 5*h**2 - 6*h + k*h**2.
-3*(h + 1)**2
Let v(q) be the thi