1)**3*(a + 1)
Let h = -38646 + 38648. Factor 5*p + 0 + 2*p**h + 1/5*p**3.
p*(p + 5)**2/5
Suppose -4*l = 11*l - 30. Let q(s) be the second derivative of s**l + 0 + 0*s**5 - 3*s - 1/45*s**6 - 8/9*s**3 + 1/3*s**4. Find r, given that q(r) = 0.
-3, 1
Factor 42*l + 18 + 39/2*l**2 - 9/2*l**3.
-3*(l - 6)*(l + 1)*(3*l + 2)/2
Let p = -201/7 + 391/14. Let j = 5/7 - p. Factor 3/4*q**5 + 15/4*q**2 - j*q - 9/4*q**3 - 3/4*q**4 + 0.
3*q*(q - 1)**3*(q + 2)/4
Let c(o) = -5*o**2 - 10*o + 65. Let t(n) = 3*n - 1. Let k(v) = c(v) - 5*t(v). Determine a so that k(a) = 0.
-7, 2
Let v(q) be the first derivative of -q**3/7 + 39*q**2/7 - 75*q/7 + 88. Solve v(r) = 0 for r.
1, 25
Suppose 0 = -4*n + 2*n + 3*l + 19, 3*n + l = 1. Suppose -46*h**n - h**3 - h**3 + 40*h**2 - 4*h = 0. Calculate h.
-2, -1, 0
Let n(c) be the first derivative of 33*c**5/40 - 3*c**4/16 - 33*c**3/8 - 3*c**2 + 3*c/2 + 253. Solve n(r) = 0 for r.
-1, 2/11, 2
Let w(o) = 2*o**2 - 3*o + 2. Let m be w(2). Let f be (-392)/(-490)*(-5)/(-2). Let -32/15 - 16/15*h**3 - 2/15*h**m - 64/15*h - 16/5*h**f = 0. What is h?
-2
Let n(p) = 3*p**5 + 15*p**4 - 12*p**3 - 6*p**2 - 6*p - 6. Let x(h) = -2*h**5 - 14*h**4 + 11*h**3 + 5*h**2 + 5*h + 5. Let c(d) = -5*n(d) - 6*x(d). Factor c(l).
-3*l**3*(l - 2)*(l - 1)
Suppose -8*x - 7*x = -30. Let o(n) be the second derivative of -2*n + 1/18*n**4 + 0*n**3 + 0 - 1/3*n**x. Solve o(k) = 0 for k.
-1, 1
Let v(a) = -a**2 + 13*a + 12. Let f(p) = -16 + 4*p**2 + 7*p - 46*p - 17 - 3. Let u(s) = 6*f(s) + 21*v(s). Solve u(r) = 0 for r.
-12, -1
Find j such that 0 + 38/3*j**4 - 44/3*j**2 + 0*j - 4/3*j**5 + 70/3*j**3 = 0.
-2, 0, 1/2, 11
Factor 101306/7 - 8214/7*o + 222/7*o**2 - 2/7*o**3.
-2*(o - 37)**3/7
Suppose 3540 = -3*x + 7*x. Let 5 - 2*f**3 - 3*f**3 - 870*f**2 + x*f**2 - 15*f = 0. What is f?
1
Let p be 8/9*3 - 10/15. Suppose -2 = -y - z, 0*y + y + 3*z + p = 0. Factor 2/5 + 2/5*l**5 + 4*l**3 + 2*l**y + 4*l**2 + 2*l.
2*(l + 1)**5/5
Let c be (4/36)/((-2)/(-12)). Suppose 0*a + 0*a = 9*a. Determine x so that 4/3*x**4 + 0*x**2 + c*x**5 + 0 + 2/3*x**3 + a*x = 0.
-1, 0
Suppose 3*k - 6 = 0, -5*j + 2*k + 8 = 2. Let c(s) be the second derivative of 0*s**j + 0 + 1/18*s**4 + 1/9*s**3 + 6*s. Factor c(u).
2*u*(u + 1)/3
Suppose 216 = 14*g - 8*g. Find w such that -56*w + 4 + 6 + 6 + g*w**2 + 8*w = 0.
2/3
Factor -27*f**2 - f**3 + 3139 + 38*f**2 + 34*f**2 - 675*f + 236.
-(f - 15)**3
Let o(i) be the third derivative of i**5/90 - i**4/36 - 2*i**3/3 - 18*i**2. Suppose o(r) = 0. Calculate r.
-2, 3
Suppose 4*z + 0*c + 725 = 5*c, 4*c = -3*z - 505. Let v be 14/(-8)*75/z. Determine w so that 3/2*w**4 + 0 + v*w**3 + 0*w**2 + 0*w + 3/4*w**5 = 0.
-1, 0
Suppose 0*h = -3*h. Let t be (h - 3) + 10/2. Factor 10*s**5 + 4*s - 6*s**4 - 12*s**t + 18*s**5 - 27*s**5 + 13*s**3.
s*(s - 2)**2*(s - 1)**2
Let k be ((-4088)/294 + 14)*6. Determine c, given that -1/7*c**2 + k*c - 4/7 = 0.
2
Let j = 6419 - 12429/2. Let t = -203 + j. Determine q so that 8*q**3 - 7*q**5 - 3/2*q**2 + 0 - q + t*q**4 = 0.
-1, -2/7, 0, 1/2, 1
Let f(l) be the first derivative of 0*l**3 + 0*l - 1/15*l**6 + 11 - 6/25*l**5 + 2/5*l**4 + 0*l**2. Suppose f(c) = 0. Calculate c.
-4, 0, 1
Let p(k) = k**3 + 15*k**2 + 27*k + 16. Let u be p(-13). Let w(x) be the first derivative of -3/2*x**2 - 7 - 3*x**u + 6*x. Factor w(o).
-3*(o + 1)*(3*o - 2)
Let h(n) be the second derivative of -2*n**2 + 0 - 5/3*n**3 - 1/10*n**5 - 22*n - 2/3*n**4. Factor h(a).
-2*(a + 1)**2*(a + 2)
Let o be 663/234 - 15/18. Factor -13/4*h**o - 27/4*h**3 - 7/4*h**5 - 23/4*h**4 - 1/2*h + 0.
-h*(h + 1)**3*(7*h + 2)/4
Let w(q) be the third derivative of -9*q**2 + 0*q - 5/12*q**4 - 5/2*q**3 + 1/12*q**5 + 0. Factor w(n).
5*(n - 3)*(n + 1)
Let p(d) be the first derivative of d**5/25 + d**4/20 - 4*d**3/15 - 2*d**2/5 - 15. Find m such that p(m) = 0.
-2, -1, 0, 2
Let d(c) = 5*c - 4*c + 2*c - 2*c. Let w(b) = -5*b**2 + 30*b - 10. Let t(a) = 15*d(a) - w(a). Factor t(i).
5*(i - 2)*(i - 1)
Factor 1/4*a**3 + 1/2*a + 3/4*a**2 + 0.
a*(a + 1)*(a + 2)/4
Let x(w) be the second derivative of w**4/12 - w**3/6 - w**2/2 + 8*w. Let h(p) = -p**2 + p + 2. Let v(q) = -3*h(q) - 6*x(q). Determine l so that v(l) = 0.
0, 1
Let y(b) = 16*b**4 - 4*b**3 + 30*b**2 - 14*b. Let a(h) = h**4 + h**3 + h**2 - h. Let w(z) = 28*a(z) - 2*y(z). Factor w(g).
-4*g**2*(g - 8)*(g - 1)
Let c = 9689/4 - 2410. Let a = c + -12. Factor 0*b**2 + 0 + 0*b + a*b**3 + 1/4*b**4.
b**3*(b + 1)/4
Let m = -4408 - -4410. Factor 0 + 15/2*n**4 + 0*n - 3/2*n**5 - 21/2*n**3 + 9/2*n**m.
-3*n**2*(n - 3)*(n - 1)**2/2
Let p be (-2 - -10) + 470/(-240)*4. Suppose -5/6 - p*g**2 + g = 0. Calculate g.
1, 5
Let x(w) be the second derivative of 14*w**3 + 11*w + 49/4*w**4 + 0 + 6*w**2. Factor x(b).
3*(7*b + 2)**2
Suppose b + 4*b - 45 = 0. Suppose -5*q + 0*q + 9 = -2*g, 0 = -5*g + 2*q + b. Factor 5*j**g - 32 - 13*j - j**3 + 61*j - 24*j**2.
4*(j - 2)**3
Let n(c) = -2*c**5 - c**3 - c + 1. Let z(w) = -7*w**5 - 4*w**4 - 7*w**3 + 2*w**2 + 2*w + 5. Let v(q) = 3*n(q) - z(q). Suppose v(t) = 0. What is t?
-2, -1, 1
Let v be 3 + 0*2/(-2). Let h(j) be the first derivative of -7 + 4*j - 4/3*j**v + 0*j**2. Factor h(l).
-4*(l - 1)*(l + 1)
Suppose -2*o + 2*o = 3*o. Let z(u) be the first derivative of 0*u + 0*u**3 - 1/5*u**5 + 5 - 1/6*u**6 + o*u**2 + 0*u**4. Factor z(d).
-d**4*(d + 1)
Suppose -4128*n - 16*n**2 + 1392*n + 1378*n + 1386*n + n**3 = 0. What is n?
0, 2, 14
Let k(i) be the second derivative of i**5/150 - i**4/15 + i**3/5 + 5*i**2 - 3*i. Let h(q) be the first derivative of k(q). Solve h(o) = 0 for o.
1, 3
Let j(i) = i**3 + 28*i**2 + 58*i + 156. Let n be j(-26). Find r such that n*r**2 + 0 + 4/7*r**4 + 0*r + 4/7*r**3 = 0.
-1, 0
Let i(t) be the third derivative of t**5/20 - 13*t**4/4 + 44*t**3 - 39*t**2 + 2*t. Factor i(j).
3*(j - 22)*(j - 4)
Let z = 12845/9633 - 1/9633. Let -z*v + 2/3*v**2 - 16/3 = 0. Calculate v.
-2, 4
Let b(d) be the second derivative of -d**4/3 + 48*d**3 - 142*d**2 + 26*d - 2. Factor b(n).
-4*(n - 71)*(n - 1)
Suppose 2*u - 4*u + 34 = 0. Let r be 630/153 - 2/u. Factor 0*j**2 + 2/7*j**5 + 0 + 2/7*j + 0*j**r - 4/7*j**3.
2*j*(j - 1)**2*(j + 1)**2/7
Let x(q) be the first derivative of 2*q**3/21 - 55*q**2/7 + 191. Suppose x(c) = 0. What is c?
0, 55
Let c(s) be the first derivative of -4*s**5/5 - 8*s**4 - 28*s**3/3 + 70. Factor c(l).
-4*l**2*(l + 1)*(l + 7)
Suppose -5*z + 35 + 85 = 0. Suppose 0 = -v - 3*p - 6 - 0, -4*v = -4*p - z. What is u in -4*u - 8*u**v - 2 + 8*u**4 - 14*u**2 + 2 = 0?
-1/2, 0, 2
Suppose -2 = -3*x + 10. Let p be (56/(-70))/(x/(-10)). Factor 8/5*k + 0 - 4/5*k**p.
-4*k*(k - 2)/5
Factor -24/5 - 14/5*j - 2/5*j**2.
-2*(j + 3)*(j + 4)/5
Let d(b) be the second derivative of -845/2*b**2 - 5/12*b**4 + 0 + 24*b - 65/3*b**3. Factor d(w).
-5*(w + 13)**2
Factor -9 - 3/4*a**2 + 14*a.
-(a - 18)*(3*a - 2)/4
Let s(u) be the second derivative of 0 + 5*u + 1/16*u**3 + 1/32*u**4 + 0*u**2. Factor s(x).
3*x*(x + 1)/8
Suppose -v + l + l - 10 = 0, 0 = -5*v + l - 77. Let b = 24 + v. Factor -h**2 - 14 + 8 - h**2 + b.
-2*(h - 1)*(h + 1)
Let l(q) be the third derivative of 49/15*q**5 - q**2 + 14/3*q**4 + 18*q + 0 + 8/3*q**3. Find y, given that l(y) = 0.
-2/7
Let z(x) be the third derivative of 0*x**3 - 7*x**2 + 0*x + 1/60*x**6 - 2/15*x**5 + 0 - 5/12*x**4. Factor z(q).
2*q*(q - 5)*(q + 1)
Let o = -155 - -164. Suppose -o = -3*c, -5*l + 0*c + 3*c + 1 = 0. Determine d so that -16/5*d + 2/5*d**l + 32/5 = 0.
4
Let o(i) = -18*i + 16 + 9*i + 7*i. Let q be o(7). Factor -1/4*a**4 + 1/2*a**3 - 1/4*a**q + 0 + 0*a.
-a**2*(a - 1)**2/4
Let l(h) = 2*h**3 + 188*h**2 + 1800*h + 1614. Let m(c) = 3*c**3 + 187*c**2 + 1800*c + 1616. Let z(q) = -2*l(q) + 3*m(q). Factor z(j).
5*(j + 1)*(j + 18)**2
Let i(c) be the first derivative of 22*c**5 + 25/6*c**6 + 40/3*c**3 + 0*c + 35*c**4 + 0*c**2 + 6. Determine l so that i(l) = 0.
-2, -2/5, 0
Factor -27 - 1/3*h**3 - 33*h - 19/3*h**2.
-(h + 1)*(h + 9)**2/3
Let b(z) = -1 - 11*z**2 + 3*z + 0 - 9 + 12*z**2. Let w be b(-5). Factor w*q - 4/3*q**2 + 4/3*q**4 + 0 + 0*q**3.
4*q**2*(q - 1)*(q + 1)/3
Let n(g) be the first derivative of g**4/2 - 4*g**3 - 16*g**2 + 83. Determine v, given that n(v) = 0.
-2, 0, 8
Let h(z) = -2*z**3 + 178*z**2 - 2698*z + 13500. Let t(f) = f**3 - f**2 + f. Let l(m) = h(m) - 2*t(m). Determine j, given that l(j) = 0.
15
Suppose 32/7*q**3 + 24/7*q**4 - 36