 17*j(x) - 6*u(x). Suppose y(n) = 0. What is n?
-1, 3
Let g = 2983/7 + -426. Solve -g + 2/7*v - 1/7*v**2 = 0 for v.
1
Let x(u) = -u**2 + 6*u - 5. Let f be x(1). Let g(s) be the third derivative of -1/240*s**5 + 0 + 1/24*s**3 - 3*s**2 - 1/24*s**4 + 1/120*s**6 + f*s. Factor g(h).
(h - 1)*(h + 1)*(4*h - 1)/4
Factor -2 + 16/7*c - 2/7*c**2.
-2*(c - 7)*(c - 1)/7
Factor 0 + 0*y + 2/5*y**2 - 2/5*y**4 + 0*y**3.
-2*y**2*(y - 1)*(y + 1)/5
Let y(x) = -x**3 + 5*x**2 - 3*x - 12. Let r(p) = 1. Let m(z) = -3*r(z) - y(z). Factor m(v).
(v - 3)**2*(v + 1)
Factor 2*s**3 - 32/7 + 24/7*s**2 + 2/7*s**4 - 8/7*s.
2*(s - 1)*(s + 2)**2*(s + 4)/7
Let i(f) = 6*f**2 - 6*f - 5. Let v(k) = -2*k**2 - 1 + k + k + 3*k**2 - 3*k. Let z(q) = -2*i(q) + 10*v(q). Find u, given that z(u) = 0.
0, 1
Let r(m) = -m**3 - 20*m**2 - 22*m - 55. Let u be r(-19). Factor n + 1/2 + 1/2*n**u.
(n + 1)**2/2
Let m(t) = -t**3 - 13*t**2 - 9*t + 15. Let b be m(-12). Let i = b - -26. Factor 10/7*s**i + 6/7*s**4 + 0*s**2 + 0*s - 4/7*s**3 + 0.
2*s**3*(s + 1)*(5*s - 2)/7
Let o(r) = -r**2 + 10*r + 11. Let l be o(11). Factor -2/7*i**2 - 2/7*i**5 + l + 2/7*i**3 + 0*i + 2/7*i**4.
-2*i**2*(i - 1)**2*(i + 1)/7
Suppose -3*f = 4*z + 20, 5*z = -20 - 5. Factor f + 1/4*b + 1/4*b**2.
b*(b + 1)/4
Let h(l) be the third derivative of -1/180*l**6 + 1/180*l**5 + 0 + 0*l**3 + 1/630*l**7 - 4*l**2 + 0*l**4 + 0*l. Factor h(o).
o**2*(o - 1)**2/3
Let h(z) be the first derivative of -z**4/66 + z**3/33 - 6*z + 1. Let t(i) be the first derivative of h(i). Solve t(u) = 0 for u.
0, 1
Let x(d) be the second derivative of -d**7/70 + d**6/30 + d**5/30 - d**4/6 + d**3/6 + 5*d**2/2 + 3*d. Let v(n) be the first derivative of x(n). Factor v(y).
-(y - 1)**2*(y + 1)*(3*y - 1)
Factor 1/2*o - 1/4 - 1/4*o**2.
-(o - 1)**2/4
Let o = -4/11 - -56/33. Suppose 2*h + 3*h = 15. Suppose -2/3*w + 4/3*w**2 + 0*w**h - o*w**4 + 2/3*w**5 + 0 = 0. Calculate w.
-1, 0, 1
Let f be 3 + -2 + 2/10. Let s = -9/5 - -11/5. Factor s*w**4 - 2/5*w - 6/5*w**3 + 0 + f*w**2.
2*w*(w - 1)**3/5
Let y(l) be the second derivative of 2*l**7/21 + 8*l**6/15 + 4*l**5/5 + 14*l. Factor y(j).
4*j**3*(j + 2)**2
Let l(r) be the third derivative of r**7/280 - 2*r**3/3 + 5*r**2. Let d(z) be the first derivative of l(z). Solve d(a) = 0 for a.
0
Suppose 60 = 5*y - 5*a, -5*a + 17 = y - 7. Let j be (-28)/4*(-4)/y. Let 4/7 + 2/7*b**j + 6/7*b = 0. Calculate b.
-2, -1
Let w(t) = -6*t**2 + 2*t + 2. Let q(s) be the third derivative of -s**5/5 + s**4/6 + s**3/2 + 7*s**2. Let k(y) = 2*q(y) - 5*w(y). Factor k(b).
2*(b - 1)*(3*b + 2)
Let x(h) be the first derivative of -h**4/36 + h**2/6 + 5*h - 3. Let i(r) be the first derivative of x(r). Determine o, given that i(o) = 0.
-1, 1
Let c(u) be the first derivative of -5 - 5*u**3 - 21/2*u**2 - 3/4*u**4 - 9*u. Factor c(m).
-3*(m + 1)**2*(m + 3)
Let t(q) = -q**2 - 8*q - 4. Let z be t(-7). Suppose z*m - 8 - 7 = 0. Factor -1/5*g**m - 4/5*g**4 - 4/5*g**2 + 0 - 6/5*g**3 - 1/5*g.
-g*(g + 1)**4/5
Suppose -2*t - 56 = -3*p, 2*p = -0*p + 2*t + 36. Find g such that -21 + p*g - 3*g**2 - 2*g - 6 = 0.
3
Let u(n) be the second derivative of 4*n**7/231 + n**6/33 - 3*n**5/110 - 5*n**4/66 - n**3/33 - 7*n. Solve u(a) = 0.
-1, -1/4, 0, 1
Let c(b) be the first derivative of -4*b**3/27 - 44*b**2/9 - 484*b/9 + 19. Factor c(h).
-4*(h + 11)**2/9
Factor -1/8*d**2 - 1/4*d**3 + 0 + 0*d - 1/8*d**4.
-d**2*(d + 1)**2/8
What is k in -2/11*k - 4/11*k**2 + 2/11*k**5 + 0*k**3 + 0 + 4/11*k**4 = 0?
-1, 0, 1
Let p(x) = -4*x**4 - x**3 - x**2 + x. Let a(g) = -g**3 - g**2 + g. Let b(j) = 5*a(j) - p(j). What is f in b(f) = 0?
-1, 0, 1
Let o = 21/19 + -107/114. Factor -o*p**2 - 1/6*p**3 + 1/6*p**4 + 0 + 1/6*p.
p*(p - 1)**2*(p + 1)/6
Solve 0*s**2 + 10*s**5 + 0 + 0*s - 34/3*s**4 + 8/3*s**3 = 0.
0, 1/3, 4/5
Let o be 4/((-1)/(-2) + (-1)/(-2)). Let k(c) be the second derivative of 1/180*c**6 + 0 + 0*c**5 + 0*c**3 + 1/12*c**2 - 1/36*c**o + 3*c. Solve k(x) = 0 for x.
-1, 1
Factor 5*l**2 - l**3 + 2 - 6 - 2*l**2.
-(l - 2)**2*(l + 1)
Let l(y) be the third derivative of -y**5/150 + y**4/20 - 2*y**3/15 - 5*y**2. Factor l(j).
-2*(j - 2)*(j - 1)/5
Factor 58 + 38*g + 4*g**2 + 0 - 6*g + 6.
4*(g + 4)**2
Let w(o) be the first derivative of 0*o - 1/10*o**4 + 1/5*o**2 - 2/15*o**3 + 2/25*o**5 + 1. Suppose w(p) = 0. Calculate p.
-1, 0, 1
Let f(d) be the second derivative of -d**8/16800 + d**7/2100 - d**4/12 - d. Let h(w) be the third derivative of f(w). Solve h(l) = 0.
0, 3
Let p(u) be the third derivative of u**8/3192 - 2*u**7/665 + 7*u**6/570 - 8*u**5/285 + 3*u**4/76 - 2*u**3/57 - u**2. Suppose p(j) = 0. Calculate j.
1, 2
Let h be (-34)/(-9) - (3 - (-29)/(-9)). Find j, given that 0 - 98/15*j**5 + 16/15*j - 154/15*j**h + 104/15*j**2 + 44/5*j**3 = 0.
-2, -2/7, 0, 1
Let g(q) = -5*q - 3. Let b be g(-1). Factor -11*y - 12*y**3 - 15*y**2 + 3*y**b - 4*y**4 + 7*y.
-4*y*(y + 1)**3
Suppose -2*u = 3*u - 15. Factor 2*y**2 - 2*y**u - 2*y**2 + 2*y.
-2*y*(y - 1)*(y + 1)
Let x(l) be the first derivative of l**4/36 + l**3/9 - l + 3. Let s(p) be the first derivative of x(p). Factor s(j).
j*(j + 2)/3
Let a(j) = -80*j**3 + 295*j**2 + 305*j - 35. Let g(w) = 9*w**3 - 33*w**2 - 34*w + 4. Let r(t) = -4*a(t) - 35*g(t). Factor r(o).
5*o*(o - 6)*(o + 1)
Let c = 50 - 25. Suppose -3*j = 3*m - j - 1, -3*m + c = -4*j. Factor 0 + 3/4*i**m - 1/4*i**4 - 3/4*i**2 + 1/4*i.
-i*(i - 1)**3/4
Let j(z) be the first derivative of -2*z**3/21 - 40*z**2/7 - 800*z/7 + 8. Factor j(l).
-2*(l + 20)**2/7
Let h(q) be the third derivative of q**8/1120 + q**7/210 + 7*q**6/720 + q**5/120 - q**3/3 + 5*q**2. Let a(d) be the first derivative of h(d). Solve a(w) = 0.
-1, -2/3, 0
Let k = -272 + 823/3. Factor -l**3 - k*l - 2/3 - 8/3*l**2.
-(l + 1)**2*(3*l + 2)/3
Suppose -s - 56 = -5*s. Suppose 4*j = -0*p + p + 13, 3*j + 4*p = -s. Determine i so that -12/5*i**3 + 8/5*i**j - 2/5*i + 8/5*i**4 - 2/5*i**5 + 0 = 0.
0, 1
Let j be 1/4 + (-1239)/5040. Let s(b) be the third derivative of 1/48*b**4 + 0 + 3*b**2 + j*b**5 + 0*b + 1/24*b**3. Factor s(y).
(y + 1)**2/4
What is w in 15 + 5*w - 12*w - 2*w**2 - 11*w + 5*w**2 = 0?
1, 5
Let o be -5*1 - (-629)/119. Determine y, given that 2/7*y - 2/7 - 2/7*y**3 + o*y**2 = 0.
-1, 1
Let a(w) = 5*w**4 - w**2 + 4*w**2 - 17 - 2*w**2 + 5*w**3 + 6*w**3. Let z(s) = 3*s**4 + 6*s**3 - 9. Let p(c) = -6*a(c) + 11*z(c). Let p(v) = 0. What is v?
-1, 1
Let s(u) be the third derivative of 0*u - 5/12*u**5 + u**2 - 1/18*u**3 + 25/72*u**6 + 5/24*u**4 + 0. Factor s(w).
(5*w - 1)**3/3
Let k(g) be the second derivative of g**8/2240 + 3*g**7/1120 + g**6/240 - 2*g**3/3 + 3*g. Let o(f) be the second derivative of k(f). Factor o(x).
3*x**2*(x + 1)*(x + 2)/4
Let z(h) = -2*h**3 + 5*h**2 - h - 3. Let g be z(3). Let v = 15 + g. Factor -5/2*u**4 + u - 1/2*u**2 + v - 4*u**3.
-u*(u + 1)**2*(5*u - 2)/2
Let j(x) = x**2 - x + 1. Let p(g) = -2*g. Let t be p(-1). Let i(m) = 2*m - 9 - m - 3*m**t + m + 7*m. Let d(v) = -i(v) - j(v). Factor d(o).
2*(o - 2)**2
Let n(l) be the second derivative of l**6/75 + l**5/50 + 2*l - 11. Factor n(b).
2*b**3*(b + 1)/5
Let r(n) be the first derivative of -400*n**6 - 784*n**5 - 1267*n**4/2 - 270*n**3 - 64*n**2 - 8*n - 7. What is s in r(s) = 0?
-2/5, -1/3, -1/4
Let p(h) be the third derivative of -h**7/105 + 9*h**6/100 - 7*h**5/25 + h**4/15 + 8*h**3/5 + 33*h**2. Solve p(i) = 0 for i.
-3/5, 2
Let i be -30*((-38)/18 + 1). Let p be 4 + 16/6 - (1 - -3). Solve 10*r**2 - p + i*r**3 - 8*r = 0.
-2/5, 1/2
Let b(m) be the third derivative of m**6/160 - m**5/80 - m**4/32 + m**3/8 + 6*m**2. Factor b(i).
3*(i - 1)**2*(i + 1)/4
Let z(t) be the second derivative of -2/33*t**3 + 0 - 4*t + 0*t**2 + 3/22*t**4. What is q in z(q) = 0?
0, 2/9
Factor -12*n**3 - 9*n**2 + 2*n**4 - 37 + 42*n + 13 - n**4 + 2*n**4.
3*(n - 4)*(n - 1)**2*(n + 2)
Let b(v) be the first derivative of 125*v**6/12 + 35*v**5/2 - 35*v**4/4 - 85*v**3/3 - 55*v**2/4 - 5*v/2 + 15. Find r such that b(r) = 0.
-1, -1/5, 1
Let i be 4/(-6)*2/(-4). Let h(u) be the second derivative of 0 + 0*u**2 - 2/3*u**4 - i*u**3 + 2*u. Find o such that h(o) = 0.
-1/4, 0
What is x in 1/2*x**2 + 0 - 1/2*x = 0?
0, 1
Let l(w) = 8*w**2 + 72*w + 52. Let f(j) = 3*j**2 + 29*j + 21. Let r(i) = -12*f(i) + 5*l(i). Factor r(o).
4*(o + 1)*(o + 2)
Let y(o) = 3*o**2 + 2. Let b be (-3 - -1)*(-3 - -2). Let d(i) = 1. Let r(n) = b*d(n) - y(n). What 