 be p(-4). Let g be f(n). Find y such that 8/7*y**2 + g + 8/7*y**4 - 2/7*y**5 - 12/7*y**3 - 2/7*y = 0.
0, 1
Suppose 4*d - x - 4 = d, -14 = -4*d - 3*x. Let c be 1*d/(12 + -4). What is p in -1/4*p**2 + 0 + c*p = 0?
0, 1
Factor 9*t**4 - 800*t + 1/3*t**5 + 212/3*t**3 + 2000/3 + 160/3*t**2.
(t - 2)*(t - 1)*(t + 10)**3/3
Let m(c) be the third derivative of c**8/112 - c**7/35 + c**6/40 + 5*c**2. Factor m(l).
3*l**3*(l - 1)**2
Suppose 4*f - 11 = x, 3*f = 5*f + 5*x + 11. Let g = 14 - 9. Find v such that -4*v**2 + 0*v + v**4 - 2*v + 3*v**4 + f*v**g = 0.
-1, 0, 1
Let o(p) be the first derivative of 1/2*p**4 + p**6 + 0*p + 0*p**2 - 2 - 2/3*p**3 + 2*p**5. Factor o(j).
2*j**2*(j + 1)**2*(3*j - 1)
Let j = -16 + 19. Suppose 0 = u - j. Let 0 - 2/11*a**u + 0*a**2 + 2/11*a = 0. Calculate a.
-1, 0, 1
Let r be (10/4 - 2)*0. Let g be r*(9/(-6) - -1). Solve -7/3*a**4 + g + a**2 - a**3 - a**5 + 2/3*a = 0.
-1, 0, 2/3
Let a(u) be the third derivative of -u**8/336 + u**7/210 + u**6/120 - u**5/60 - 2*u**2. Factor a(o).
-o**2*(o - 1)**2*(o + 1)
Let m = 67/30 - 78/35. Let a(b) be the third derivative of 1/120*b**6 + 0 - 1/24*b**4 - 1/60*b**5 + 0*b**3 + b**2 + 0*b + m*b**7. Factor a(l).
l*(l - 1)*(l + 1)**2
Let r(a) be the second derivative of -a**4/48 + 5*a**3/24 + 3*a**2/4 - 7*a. Solve r(o) = 0 for o.
-1, 6
Let z be (0 - 4)*4/(-4). Factor 0*q**2 + 4*q - z*q**2 + 6*q**3 - 2*q**2 - 4*q**2.
2*q*(q - 1)*(3*q - 2)
Let d(q) be the second derivative of 7/195*q**6 + 5/39*q**3 + 0 - 1/13*q**4 - 4*q - 1/65*q**5 - 1/13*q**2 - 1/91*q**7. Determine a, given that d(a) = 0.
-1, 1/3, 1
Let g be (-3)/(-6)*(3 - 9). Let j be 1*((5 - 0) + g). Find l, given that -4/5 + 2/5*l + 6/5*l**j = 0.
-1, 2/3
Suppose -6*h - 20 = -11*h. Factor 2*q**4 - q**h - 3*q**4 - 2*q**4 - 4*q**2 + 10*q**3.
-2*q**2*(q - 2)*(2*q - 1)
Determine a so that -2/3 + 1/3*a + 1/3*a**2 = 0.
-2, 1
Let l(b) be the first derivative of -b**2 + 3/20*b**5 - 1 + 0*b + 1/3*b**3 + 11/24*b**4. Let x(r) be the second derivative of l(r). Find o such that x(o) = 0.
-1, -2/9
Let d = 1611 - 1606. Factor 3*t**2 + 0 + 3*t + 27/4*t**d - 33/4*t**3 - 9/2*t**4.
3*t*(t - 1)**2*(3*t + 2)**2/4
Suppose -18*t**2 + 41*t**2 - 21*t**2 - 2*t**3 = 0. What is t?
0, 1
Let h(x) = -x**2 + 5*x + 1. Let f be h(4). Find b, given that -b - b**3 + f*b - 3*b + 2*b**2 - 2 = 0.
-1, 1, 2
Let k(v) be the third derivative of -v**7/2380 + v**6/765 - v**5/1020 - v**3 - 2*v**2. Let o(s) be the first derivative of k(s). Suppose o(w) = 0. What is w?
0, 1/3, 1
Factor -101 + 2*l + 4*l**2 - 5*l + 104 - 10*l.
(l - 3)*(4*l - 1)
Solve -4*i + 3*i**2 + 10*i**2 - 12*i**2 - 2*i**3 + 5*i**2 = 0.
0, 1, 2
Let a(f) be the first derivative of -3*f**5/140 - f**4/28 + 3*f + 4. Let x(p) be the first derivative of a(p). Factor x(k).
-3*k**2*(k + 1)/7
Let p(a) = 6*a**4 - 16*a**3 - 10*a**2 + 10*a. Let j(o) = 2*o**4 - 5*o**3 - 3*o**2 + 3*o. Let w(m) = -10*j(m) + 3*p(m). Factor w(y).
-2*y**3*(y - 1)
Let r(z) = 44*z**5 - 20*z**4 - 24*z**3 + 16*z**2 - 16*z. Let k(x) = 9*x**5 - 4*x**4 - 5*x**3 + 3*x**2 - 3*x. Let s(w) = 16*k(w) - 3*r(w). Factor s(v).
4*v**3*(v - 1)*(3*v + 2)
Let b(y) be the second derivative of y**4/4 + y**3 + 3*y**2/2 + 18*y. Factor b(k).
3*(k + 1)**2
Determine s so that -3*s**2 - 9*s - 2 + 1 - 5 = 0.
-2, -1
Let m(f) = -f**2 - 3*f + 3. Let x be m(-3). Solve -5*z**3 + 2*z**2 - 1 - z**4 + 4*z**5 + z + 3*z**3 + 0*z - x*z**5 = 0 for z.
-1, 1
Let r(o) be the third derivative of -o**8/131040 - o**7/10920 - o**6/2340 - o**5/30 + 4*o**2. Let p(q) be the third derivative of r(q). Factor p(m).
-2*(m + 1)*(m + 2)/13
Let x(u) = 3*u**2 + 8*u + 6. Let l be x(-2). Factor -6/5*r - 4/5 - 2/5*r**l.
-2*(r + 1)*(r + 2)/5
Suppose 4*y = -5*p - 13 + 30, -p - 3 = 4*y. Suppose z - p*z = 0. Factor 2/5*u + z - 2/5*u**2.
-2*u*(u - 1)/5
Let x(q) be the first derivative of q**9/3024 + q**8/840 + q**7/840 + 2*q**3/3 - 1. Let l(n) be the third derivative of x(n). Factor l(t).
t**3*(t + 1)**2
Factor 4*l**2 - 16/9 + 64/9*l.
4*(l + 2)*(9*l - 2)/9
Let c be 30/(-135) + (-2)/(-9)*19. Let r(x) be the second derivative of -1/30*x**3 + 1/60*x**c + 0 + 3*x + 1/100*x**5 - 1/10*x**2. What is o in r(o) = 0?
-1, 1
Let p(g) be the third derivative of -g**5/4 - 35*g**4/24 + 25*g**3/3 - 4*g**2 - 4*g. Factor p(x).
-5*(x - 1)*(3*x + 10)
Let z(m) = -4*m**3 - 8*m**2 + 6. Let n(k) = 3*k**3 + 7*k**2 - 5. Let w(i) = -6*n(i) - 5*z(i). Factor w(h).
2*h**2*(h - 1)
Let f(q) = 2*q**2 + 4*q - 2. Let j(c) = 5*c**2 + 9*c - 5. Let s(d) = 9*f(d) - 4*j(d). Find b, given that s(b) = 0.
-1, 1
Let t be (6/18)/(1/36). Factor -6*h**2 + 2*h**2 - 4*h**4 + 16*h**3 - t*h**2.
-4*h**2*(h - 2)**2
Let y = -6 - -9. Factor -2/5*q**4 + 0*q + 0*q**y - 2/5 + 4/5*q**2.
-2*(q - 1)**2*(q + 1)**2/5
Let a be 6 - (-52)/(-8) - 26/(-48). Let w(x) be the second derivative of 0*x**2 + 1/84*x**7 + 0 - 1/48*x**4 + 0*x**3 - a*x**6 + 1/20*x**5 - x. Factor w(s).
s**2*(s - 1)**2*(2*s - 1)/4
Let y(b) be the first derivative of 3*b**5/10 - 9*b**4/8 + 3*b**3/2 - 3*b**2/4 - 2. Factor y(h).
3*h*(h - 1)**3/2
Suppose 0*t = t - 8. Let f = -8 + t. Factor f - 14/5*a**3 + 18/5*a**2 - 4/5*a.
-2*a*(a - 1)*(7*a - 2)/5
Let y = 4 - 3. Let u = y + 2. Factor 3*z**2 + z**u - z**2 + z**3.
2*z**2*(z + 1)
Let -3*v**2 - 15/2*v + 9/2 = 0. What is v?
-3, 1/2
Let h = -11 - -16. Let a(y) = -y + 7. Let l be a(h). Determine q so that 4*q**4 + 3*q**3 - q**4 + 2*q**2 - q**l + q**5 = 0.
-1, 0
Factor -42*d**2 - 3*d + 3*d - 16*d**3 - 4*d**4 + 30*d**2.
-4*d**2*(d + 1)*(d + 3)
Let q = 7 + -13. Let z be 2/(((-3)/q)/1). Factor -42*a**2 - z + 22*a**3 + 12*a**3 + 16*a + 6*a - 10*a**4.
-2*(a - 1)**3*(5*a - 2)
Factor 8*c**2 - 14*c**4 - 4*c - 2*c - 26*c + 50*c**3 - 26*c**3 + 2*c**5.
2*c*(c - 4)*(c - 2)**2*(c + 1)
Suppose -2*z + 2 = -4*m - 36, m = -2*z + 3. Let w(g) = g**3 + 7*g**2 + 4. Let k be w(m). Factor -20*s**2 - s - 28*s**5 - 72*s**3 - 108*s**k - 26*s**5 - s.
-2*s*(s + 1)*(3*s + 1)**3
Let o(b) = 13*b**2 + 5*b + 6. Let h(j) = -j + 10. Let z be h(8). Let y(v) = -3*v**z + 4 - 2*v - v**2 - 6. Let i(p) = -2*o(p) - 7*y(p). Solve i(d) = 0.
-1
Let d be 2/(-10)*4 - -1. Let 0 - 1/5*a**5 + 0*a + d*a**3 + 0*a**4 + 0*a**2 = 0. What is a?
-1, 0, 1
Let m(v) be the first derivative of v**4/12 - v**3/2 + v**2 - 4*v + 1. Let z(u) be the first derivative of m(u). Factor z(x).
(x - 2)*(x - 1)
Let s(j) be the first derivative of 0*j + 3 + 0*j**2 - 2/15*j**3. Find q, given that s(q) = 0.
0
Find c such that -c**5 + 21*c**2 + 6*c**5 + 39*c**2 + 30*c**4 + 20*c + 65*c**3 = 0.
-2, -1, 0
Let r be (-7)/3*(-6 + 3). Let o = 4 - 2. Let v(j) = -3*j**2 - j - 10. Let m(c) = c**2 + 3. Let t(f) = o*v(f) + r*m(f). Let t(p) = 0. Calculate p.
1
Solve -11*k**3 - 95*k**3 - 20*k**4 - 145*k**2 - 123*k**2 - 208*k - 48 - 22*k**3 = 0.
-3, -2, -1, -2/5
Suppose x - 3*f = -6, -4*x - 2*f = -1 - 3. Factor 4*k + 2 + 0*k**3 - 5*k**4 - 4*k**3 + x*k**4 + 3*k**4.
-2*(k - 1)*(k + 1)**3
Let r(n) be the second derivative of -n**6/90 - n**5/20 - n**4/18 - 7*n. Find x such that r(x) = 0.
-2, -1, 0
Let g(v) be the second derivative of -v**6/150 + v**5/25 - v**4/20 - 14*v. Find s such that g(s) = 0.
0, 1, 3
Suppose 0 = -2*y - 2*y + 24. Let f(g) be the third derivative of 0 + 1/300*g**y + 0*g**5 - 1/20*g**4 - 2/15*g**3 + 2*g**2 + 0*g. Find a such that f(a) = 0.
-1, 2
Let o(c) be the third derivative of 7*c**5/180 - c**4/6 - 2*c**3/9 - 2*c**2. Factor o(b).
(b - 2)*(7*b + 2)/3
Let b(y) be the second derivative of y**6/360 + y**5/40 + y**4/12 - y**3/6 + 2*y. Let h(o) be the second derivative of b(o). Factor h(q).
(q + 1)*(q + 2)
Let x(j) be the first derivative of j**4 - 4*j**3/3 + 1. Determine k, given that x(k) = 0.
0, 1
Let w(x) be the third derivative of x**10/529200 - x**8/70560 - x**5/60 - x**2. Let d(b) be the third derivative of w(b). Factor d(o).
2*o**2*(o - 1)*(o + 1)/7
Let z(o) be the second derivative of -2/3*o**3 - 1/10*o**5 + 0*o**2 - 6*o + 1/2*o**4 + 0. Factor z(w).
-2*w*(w - 2)*(w - 1)
Let p = -141/2 + 77. Suppose 3*r = 3*g - 27, 0*g - 30 = -2*g + 5*r. Find h such that p*h**2 - 7/4*h**3 - 2 - g*h = 0.
-2/7, 2
Let b be 4/5 - ((-264)/55)/(-6). Find n, given that -1/4*n**3 + 0*n**2 + b*n + 0 + 1/2*n**4 = 0.
0, 1/2
Let v(q) be the second derivative of -q**5/2 - 25*q**4/12 + 5*q**3/2 + 4*q + 2. Factor v(d).
-5*d*(d + 3)*(2*d - 1)
Let p be (-12)/(-88)*((-12)/9)/(-1). Dete