(-3 + 2 + -1). Let g(y) = 4*y + 4. Let o(a) = -a**2 + 1. Let v(j) = p*o(j) + g(j). Find s, given that v(s) = 0.
-1, 2
Let l = 65 - 61. Suppose 0 = -b - 2*b + 12. Factor 2*a**5 + 4*a**2 - l*a**4 + 5*a - 7*a + b - 4.
2*a*(a - 1)**3*(a + 1)
Suppose 10*l = 222 - 182. Suppose -3/5 - 6/5*z**3 + 6/5*z + 0*z**2 + 3/5*z**l = 0. Calculate z.
-1, 1
Let v(k) be the first derivative of -k**6/15 + 8*k**5/25 - 32*k**3/15 + 16*k**2/5 - 468. Find x such that v(x) = 0.
-2, 0, 2
Factor 3*x**4 + 7*x - 8*x**4 - 9*x**2 - x**5 + x - 6*x**3 + 2*x**2 + 11*x**2.
-x*(x - 1)*(x + 2)**3
Let t(h) be the second derivative of h**6/10 + 21*h**5/20 - 9*h**4/4 - 7*h**3/2 + 12*h**2 + h + 20. Factor t(z).
3*(z - 1)**2*(z + 1)*(z + 8)
Let b(k) = -k + 1 - 2 + 2. Let j(o) = 2*o**2 + 5*o + 1. Let s = -6 - -5. Let g(i) = s*j(i) - b(i). What is t in g(t) = 0?
-1
Let u be (-6 + 1)/(-5)*2. Suppose 858 - 858 - 5*p**u = 0. What is p?
0
Let r(q) be the first derivative of -38 + 0*q - 4/15*q**3 - 2/5*q**2. Suppose r(l) = 0. Calculate l.
-1, 0
Let i(b) be the second derivative of -b**7/3150 + b**6/225 - 2*b**5/75 - 41*b**4/12 + 7*b. Let l(a) be the third derivative of i(a). Factor l(j).
-4*(j - 2)**2/5
Factor -8/7*i**3 + 0*i - 1/7*i**5 + 5/7*i**4 + 4/7*i**2 + 0.
-i**2*(i - 2)**2*(i - 1)/7
Suppose -l + 36 = l. Determine c so that -2*c**4 + 19*c**3 - l*c**3 + 2*c**5 - 3*c**5 + 2*c**2 = 0.
-2, -1, 0, 1
Let b = 145/612 + 2/153. Factor -b*l**2 + 5/4*l - 1.
-(l - 4)*(l - 1)/4
Let t(j) be the third derivative of -j**7/420 - j**6/90 + j**5/60 + j**4/6 - 7*j**3/3 - 10*j**2. Let u(f) be the first derivative of t(f). Factor u(k).
-2*(k - 1)*(k + 1)*(k + 2)
Let q(x) = -3*x**5 + 2*x**4 + 4*x**3 - x - 2. Let u(v) = -3*v**5 + 2*v**4 + 4*v**3 + v**2 - v - 3. Let n(w) = -3*q(w) + 2*u(w). Factor n(g).
g*(g - 1)**2*(g + 1)*(3*g + 1)
Let x(m) be the second derivative of -m**5/5 - 138*m**4 - 38088*m**3 - 5256144*m**2 + 3*m + 6. Factor x(o).
-4*(o + 138)**3
Let w(x) be the third derivative of x**6/1380 - 13*x**5/1380 + x**4/69 + 29*x**3/6 - 13*x**2. Let s(r) be the first derivative of w(r). Factor s(q).
2*(q - 4)*(3*q - 1)/23
Let p(u) = -341*u**3 - 322*u**2 + 725*u - 62. Let x(z) = -114*z**3 - 108*z**2 + 243*z - 21. Let m(k) = 3*p(k) - 8*x(k). Factor m(d).
-3*(d - 1)*(d + 2)*(37*d - 3)
Factor -38*c**2 - 640 + 57*c**2 + 51*c**2 - 160*c - 5*c**3.
-5*(c - 8)**2*(c + 2)
Let x(r) be the first derivative of r**4/2 - 212*r**3/3 - 360. Find z such that x(z) = 0.
0, 106
Determine w, given that 2/13*w**2 + 8/13*w + 6/13 = 0.
-3, -1
Let l(m) = -m**3 + 4*m**2 - m + 4. Let s be l(4). Suppose -3*a + 10 + 2 = s. Factor -2*y**2 - y + y**3 + 3*y**2 - y**4 + 0*y**a.
-y*(y - 1)**2*(y + 1)
Let c(z) be the first derivative of 5*z**3/3 - 675*z**2 + 91125*z + 493. Factor c(o).
5*(o - 135)**2
Let i = -6605/98 + -5/49. Let g = 69 + i. Factor f + 1/2*f**2 - g*f**3 + 0.
-f*(f - 1)*(3*f + 2)/2
Suppose 0 = -3*y + 6 + 9, -5*m - 5*y = -50. Factor -4*j**3 + m*j**4 + 1 - j**4 + 2*j + 23*j**2 - 26*j**2.
(j - 1)**2*(2*j + 1)**2
Let a(u) = -10*u. Let y be a(-1). Factor 5 + 5 + 4*c**2 + c**2 + y*c**2 - 35*c.
5*(c - 2)*(3*c - 1)
Suppose -4*u - 2*g - 422 = -0*u, -2*u = 4*g + 196. Let p = 974/9 + u. Factor -4/9*z**2 + p*z**5 - 2/9*z + 0*z**3 + 0 + 4/9*z**4.
2*z*(z - 1)*(z + 1)**3/9
Suppose -141 = -49*s - 11*s + 13*s. Factor -s + 5/3*o**2 - o - 1/3*o**3.
-(o - 3)**2*(o + 1)/3
Let u(v) = 272*v - 2992. Let w be u(11). Factor w + 6/7*d - 2/7*d**3 + 4/7*d**2.
-2*d*(d - 3)*(d + 1)/7
Let p(u) be the first derivative of 5*u**3/3 + 25*u**2 + 32. Find f, given that p(f) = 0.
-10, 0
Let q(j) be the second derivative of 0 + 1/6*j**4 + 2*j**2 - 7*j + j**3. Factor q(i).
2*(i + 1)*(i + 2)
Let w be 4/70*(-10610)/8. Let x = -149/2 - w. Factor -6/7*d + 1/7*d**2 + x.
(d - 3)**2/7
Let n(l) = 3*l**4 - 120*l**3 + 523*l**2 - 1013*l + 713. Let w(t) = t**4 - 60*t**3 + 261*t**2 - 506*t + 356. Let c(d) = 4*n(d) - 7*w(d). Factor c(j).
5*(j - 4)*(j - 3)**2*(j - 2)
Let a(h) be the second derivative of -h**9/60480 + h**7/10080 - 5*h**4/6 + 17*h. Let f(p) be the third derivative of a(p). Factor f(g).
-g**2*(g - 1)*(g + 1)/4
Find c such that c**2 + 135*c**4 - 78*c**4 - 2*c**5 - 38*c**4 - c**5 - 33*c**3 + 36*c - 20 = 0.
-1, 1, 2, 10/3
Suppose n = m + 4*n - 11, 4*n = 12. Let k(b) = -2*b**4 + 2*b**3 - 7*b**2 - 11*b. Let j(a) = -a**2 - a. Let s(t) = m*k(t) - 18*j(t). Solve s(h) = 0 for h.
-1, 0, 1
Let p be 2 - ((-684)/(-112) + -2). Let b = p - -20/7. Factor b*y**2 + 3/2*y + 3/4.
3*(y + 1)**2/4
Let x(w) = w**3 + 5*w**2 - 6*w - 8. Let t be x(-6). Let f = t + 15. Factor -f*b - 7 - 11*b + 17 + 3*b**2 + 17.
3*(b - 3)**2
Let i be (-4 - -5)*((-153)/36)/(-17). Factor 1/4*r**3 - i*r + 0*r**2 + 0.
r*(r - 1)*(r + 1)/4
Let y(m) = 9*m**2 - 20*m + 4. Let k(s) = -s**2 + 5*s + 1. Let v be k(4). Let o(l) = 10*l**2 - 20*l + 5. Let h(f) = v*y(f) - 4*o(f). Factor h(d).
5*d*(d - 4)
Let b(c) be the first derivative of 2*c**5/5 + c**4 - 6. Suppose b(o) = 0. Calculate o.
-2, 0
Let r = 65 + -66. Let o be 188/(-28) - -7 - 0/r. Factor o*i**2 - 2/7*i - 4/7.
2*(i - 2)*(i + 1)/7
Let -2/13*d**4 + 16/13*d + 0 - 16/13*d**3 + 2/13*d**2 = 0. What is d?
-8, -1, 0, 1
Let t(u) = 2*u**2 + 48*u - 162. Let w be t(3). Determine i so that 1/2*i**2 - 1/4*i**5 + 0 + w*i + 3/4*i**3 + 0*i**4 = 0.
-1, 0, 2
Let u(v) = -44*v**2 + 8360*v - 396972. Let l(d) = 4*d**2 - 760*d + 36088. Let j(c) = 32*l(c) + 3*u(c). Factor j(i).
-4*(i - 95)**2
Let o(p) be the first derivative of 9/2*p**2 + 3/4*p**4 - 3*p**3 + 3 - 3*p. Suppose o(c) = 0. What is c?
1
Factor 1/8*g + 5/2 - 1/8*g**2.
-(g - 5)*(g + 4)/8
Factor 24*v**2 + 16*v + 4726 - 4746 + 2*v**3 - 4*v**4 - 18*v**3.
-4*(v - 1)**2*(v + 1)*(v + 5)
Let q(z) be the third derivative of 1/360*z**6 - 23*z**2 + 0 - 1/144*z**4 + 1/360*z**5 + 0*z**3 + 0*z. Find b, given that q(b) = 0.
-1, 0, 1/2
Let r(b) = 27*b + 353. Let m be r(-13). Let 0 + 3/4*d**3 + 0*d**4 + 0*d**m - 3/4*d**5 + 0*d = 0. What is d?
-1, 0, 1
Let q be 0 - -2 - (0 + 0). Suppose -76*j = 3*l - 79*j - 15, 4*l + 4*j - 20 = 0. Suppose l*u**3 + 3*u**5 - q*u**5 - 10*u**4 + 4*u**5 = 0. Calculate u.
0, 1
Suppose -5/3*z**4 - 2/3*z**2 + 0*z + 7/3*z**3 + 0 = 0. What is z?
0, 2/5, 1
Factor -93*b + 159*b + 5*b**2 - 111*b.
5*b*(b - 9)
Let u(n) be the second derivative of 0*n**2 + 0 + 1/30*n**3 + 2/75*n**6 - 1/15*n**4 - 1/100*n**5 - 20*n. Find f, given that u(f) = 0.
-1, 0, 1/4, 1
Let k = -63003/13 - -4853. Suppose 146/13*q**2 + 32/13 + 22/13*q**4 - k*q**3 - 2/13*q**5 - 112/13*q = 0. What is q?
1, 4
Let y(s) = -11*s**4 + 6*s**3 + 5*s**2 - 4*s - 4. Let m(o) = 23*o**4 - 12*o**3 - 8*o**2 + 7*o + 10. Let d(q) = -2*m(q) - 5*y(q). Factor d(w).
3*w*(w - 1)*(w + 1)*(3*w - 2)
Let k = -2049 + 2051. Let w(a) be the third derivative of 0*a - 1/12*a**3 + 0 + 1/280*a**7 - 1/96*a**4 + 11/240*a**5 - 11/480*a**6 + 6*a**k. Factor w(l).
(l - 2)*(l - 1)**2*(3*l + 1)/4
Suppose -52 = -12*h - 14*h. Factor 8/7*d - 16/7*d**h + 0 - 10/7*d**3.
-2*d*(d + 2)*(5*d - 2)/7
Let k(w) be the third derivative of -w**6/160 - 11*w**5/40 - 11*w**2 + 4*w. Find q such that k(q) = 0.
-22, 0
Let v be (30 + -30)/((-2)/2). Let p(j) be the first derivative of v*j - 1/3*j**3 - 1/6*j**6 - 3/4*j**4 + 0*j**2 - 2 - 3/5*j**5. Determine s so that p(s) = 0.
-1, 0
Let l(n) be the third derivative of -5*n**8/1176 - 2*n**7/735 + n**6/84 + n**5/105 - 88*n**2. Solve l(s) = 0 for s.
-1, -2/5, 0, 1
Let z(f) = f**4 + 2*f**3 + f + 2. Let b(u) = u**4 + 7*u**3 + u**2 - u + 4. Let w(g) = 3*b(g) - 6*z(g). Factor w(i).
-3*i*(i - 3)*(i - 1)*(i + 1)
Factor 0*l**2 - 78 - 6*l**2 + 165 - 83 - 23*l.
-(l + 4)*(6*l - 1)
Factor 26/3 + 34*d - 8/3*d**2.
-2*(d - 13)*(4*d + 1)/3
Factor -12*p**3 + 203*p**4 + 14*p**2 - 199*p**4 - 4*p - 2*p**2.
4*p*(p - 1)**3
Let t(d) be the third derivative of -13/360*d**5 - 1/1260*d**7 + 1/90*d**6 + 0 + 1/24*d**4 + 0*d**3 + 0*d + 8*d**2. Factor t(w).
-w*(w - 6)*(w - 1)**2/6
Suppose 5*o - 7 = 8. Let t(a) = -8*a**4 + 16*a**2 - 8*a - 4. Let n(z) = -7*z**4 + z**3 + 15*z**2 - 7*z - 5. Let c(b) = o*t(b) - 4*n(b). What is h in c(h) = 0?
-1, 1, 2
Let y(n) = n**3 - 18*n**2 - n + 18. Let r be y(18). Let i(u) be the second derivative of -4*u + 3/10*u**5 - 1/2*u**3 + r + 0*u**2 + 1/4*u**4. Factor i(v).
3*v*(v + 1)*(2*v - 1)
Let g(z) be the second derivative of -2/3*z**3 - 12*z**2 + 1/3*z**4 + 0 - 23*z. Factor g(o