et -1 + 1 + f*v**2 - 5*v**2 = 0. What is v?
0
Let z = 159 - 1111/7. Factor 0*n**2 - z*n**5 + 0*n + 0*n**3 - 2/7*n**4 + 0.
-2*n**4*(n + 1)/7
Let t(i) = -125*i**3 - 219*i**2 - 114*i - 14. Let w(a) = -125*a**3 - 220*a**2 - 115*a - 15. Let b(g) = -5*t(g) + 6*w(g). Factor b(z).
-5*(z + 1)*(5*z + 2)**2
Suppose -3/8*k**4 - 39/8*k**3 - 24 - 42*k - 45/2*k**2 = 0. Calculate k.
-4, -1
Let u be 4 - -142*4/(-144). Let c(d) be the first derivative of -2 - 1/4*d**2 + 1/6*d + 1/8*d**4 - u*d**3. Factor c(o).
(o - 1)*(o + 1)*(3*o - 1)/6
Let s(y) = -y**2 + 2*y + 4. Let t(z) = -3*z**3 + z**2. Let q be t(-1). Let l(m) = -m**2 + 2*m + 3. Let w(h) = q*l(h) - 3*s(h). Solve w(i) = 0 for i.
0, 2
Suppose -a - 41 - 16 = w, 2*a + w = -115. Let b be a/(-44) + 2/11. Factor -b*l**2 + 1/2*l + 1.
-(l - 1)*(3*l + 2)/2
Let u(k) be the third derivative of -k**4/24 + k**3/2 + 3*k**2. Let x be u(3). Factor -10/7*d**3 + 2*d**2 - 4/7*d + x.
-2*d*(d - 1)*(5*d - 2)/7
Let q be (-2)/2 + (0 - -1). Suppose -4*m + m - l + 13 = q, 2*m + l = 10. Factor -2/3*i**m - 4/3*i + 2*i**2 + 0.
-2*i*(i - 2)*(i - 1)/3
Let c = 104 + -73. Let 8*y**5 - 14*y**2 + 30*y**3 + 5*y**4 - c*y**4 + 3*y + 0*y**2 - y = 0. What is y?
0, 1/4, 1
Let v be (0 - 4/(-2)) + 0. Let u be 2*(3/2 + -1). Factor -x - u - x + x**2 - v*x**2.
-(x + 1)**2
Let v(r) be the first derivative of 4 - 1/6*r**6 + 0*r**4 + 0*r + 2/5*r**5 - 2/3*r**3 + 1/2*r**2. Determine d so that v(d) = 0.
-1, 0, 1
Let n be ((-4856)/1812)/(1 - 3). Let y = n - 1/151. Factor -14/3*f**2 + y*f + 0 + 10/3*f**3.
2*f*(f - 1)*(5*f - 2)/3
Let k(m) = -5*m**3 - 11*m**2 - 6. Let q(h) = 5*h**3 + 10*h**2 + 5. Let x(v) = 5*k(v) + 6*q(v). Let x(r) = 0. Calculate r.
-1, 0
Suppose -2*z + 8*u - 11*u = 15, z = 5*u + 25. Factor -2/7*c**5 + z + 4/7*c**2 + 8/7*c**4 + 0*c - 10/7*c**3.
-2*c**2*(c - 2)*(c - 1)**2/7
Let d(g) be the third derivative of -g**5/120 + g**4/48 + 15*g**2. Factor d(p).
-p*(p - 1)/2
Let -f - 2 - f**2 - f + 4*f + f = 0. Calculate f.
1, 2
Let y(c) = -c**3 - 11*c**2 - 27*c - 22. Let n be y(-8). Factor -1/2*k**4 + 0*k + 0*k**n + 0 - k**3.
-k**3*(k + 2)/2
Suppose -2*p + 3 = -9. Suppose 2*n + p - 2 = -4*u, 0 = 3*n + 3*u. Factor -8/7*f**4 - 2/7*f + 6/7*f**n + 0*f**3 + 0.
-2*f*(f + 1)*(2*f - 1)**2/7
Let f(y) = 5*y**4 + 5*y**3 - 30*y**2 + 25*y + 5. Let a(q) = -7*q**4 - 8*q**3 + 45*q**2 - 38*q - 8. Let w(o) = 5*a(o) + 8*f(o). Factor w(d).
5*d*(d - 1)**2*(d + 2)
Let k = 9 - 4. Suppose -k*i + 16 = -2*y, 4*y = -i - 5 - 5. Factor 6*w**4 - 4*w**3 - 2*w**i + 5*w**3 + 3*w**3.
2*w**2*(w + 1)*(3*w - 1)
Suppose -m + 2*n = 14, 2*m - n + 29 = 4*n. Let o be (-4)/(-12) + (-2)/m. Factor z - o*z**2 - 1/2.
-(z - 1)**2/2
Let n(z) be the third derivative of -z**5/120 - z**4/24 - z**3/12 + 3*z**2. Factor n(c).
-(c + 1)**2/2
Let y(j) be the third derivative of -j**7/210 + j**6/30 + j**5/10 + j**4/24 - 5*j**2. Let q(w) = w**3 + w**2. Let p(z) = -5*q(z) + y(z). Factor p(r).
-r*(r - 1)*(r + 1)**2
Let l(r) = -r**2 + 4*r + 7. Let z be l(5). Suppose -5*i + 11*i + 4 + 0 + 2*i**z = 0. Calculate i.
-2, -1
Suppose 4*t - 2*b + 5 = -3*b, t + 5 = -b. Suppose 0 = -v - t*v. Factor v*r + 1/2*r**4 + r**3 + 0 + 1/2*r**2.
r**2*(r + 1)**2/2
Let k be -1*(1 + 2*-3). Let z be 9/3 + k/(-2). Factor b**3 + 5/2*b**2 + 2*b + z.
(b + 1)**2*(2*b + 1)/2
Factor -2*z - 1/3*z**2 - 5/3.
-(z + 1)*(z + 5)/3
Suppose 5 = 3*q - 1. Find g, given that 2/5*g**3 + 2/5 - 2/5*g - 2/5*g**q = 0.
-1, 1
Factor 2/7*a**3 + 10/7*a - 12/7*a**2 + 0.
2*a*(a - 5)*(a - 1)/7
Let l(i) be the second derivative of i**7/210 - i**6/360 - i**5/30 + i**4/24 + i**3/2 - 2*i. Let b(a) be the second derivative of l(a). Solve b(v) = 0 for v.
-1, 1/4, 1
Let y(f) be the second derivative of 1/30*f**6 - 3*f - 1/12*f**4 + 0*f**2 - 1/20*f**5 + 0 + 1/6*f**3. Factor y(h).
h*(h - 1)**2*(h + 1)
Determine w so that -26*w**2 - 8 + 31*w + 10*w**2 - 11*w + 4*w**3 = 0.
1, 2
Let z(x) be the first derivative of -2*x**5/55 + 14*x**3/33 + 6*x**2/11 + 45. Suppose z(q) = 0. Calculate q.
-2, -1, 0, 3
Let i be (1/(-6))/(2/(-9)). Let y = 16 - 14. Solve 3/4*c**3 - 3/4*c**y + 3/4 - i*c = 0 for c.
-1, 1
Let u(r) = -3*r**2 + 2 - 2 - 3*r + 2*r**3. Let c(y) = -3*y**3 + 4*y**2 + 4*y. Let l(h) = -3*c(h) - 4*u(h). Suppose l(x) = 0. What is x?
0
Let q(f) be the second derivative of -f**5/90 + 7*f**4/54 - 16*f**3/27 + 4*f**2/3 - 12*f. Let q(p) = 0. Calculate p.
2, 3
Let p(n) be the third derivative of n**7/210 + n**6/20 + n**5/5 + 5*n**4/12 + n**3/2 - 4*n**2. Factor p(b).
(b + 1)**3*(b + 3)
Let f be 755/150 - 3 - 2. Let x(p) be the third derivative of 2*p**2 + 1/150*p**5 + 1/15*p**3 - f*p**4 + 0*p + 0. Solve x(y) = 0 for y.
1
Let g(n) = -6*n**5 + 8*n**4 - 2*n**3 - 8*n**2 + 6*n + 2. Let t(v) = 13*v**5 - 16*v**4 + 5*v**3 + 16*v**2 - 13*v - 5. Let f(y) = 5*g(y) + 2*t(y). Factor f(a).
-4*a*(a - 1)**3*(a + 1)
Let x(w) be the third derivative of 2*w**7/735 - 4*w**6/35 + 72*w**5/35 - 144*w**4/7 + 864*w**3/7 + 11*w**2. Factor x(f).
4*(f - 6)**4/7
Let c(z) = z**3 - 10*z**2 + z - 6. Let n be c(10). Factor 2*j**4 + n*j**2 - 2*j**3 - 3*j**4 - 5*j**2.
-j**2*(j + 1)**2
Let k = -17/60 - -7/20. Let y(z) be the second derivative of 2/5*z**2 + 0 + k*z**3 - 3*z - 1/30*z**4. Factor y(l).
-2*(l - 2)*(l + 1)/5
Let x(l) be the first derivative of 1/28*l**4 - 1/35*l**5 - 5 + 0*l**2 + 0*l - 1/42*l**6 + 1/21*l**3. What is z in x(z) = 0?
-1, 0, 1
Let b(o) be the third derivative of -o**6/360 - o**5/120 + 7*o**3/6 + 6*o**2. Let f(l) be the first derivative of b(l). Suppose f(m) = 0. What is m?
-1, 0
Let t(z) be the second derivative of 3*z**4/4 - z**3/2 - 4*z. Suppose t(f) = 0. Calculate f.
0, 1/3
Suppose 0 = 5*q - 6*q. Solve -1/4*b + 1/4*b**3 + q*b**2 + 0 = 0 for b.
-1, 0, 1
Suppose -5*v + 4*v = -14*v. Let v*o - 1/5*o**2 + 2/5*o**4 + 0 + 1/5*o**3 = 0. What is o?
-1, 0, 1/2
Let v be 1/3 - (-1 - 228/(-198)). Let 2/11 + 4/11*q + v*q**2 = 0. What is q?
-1
Solve n**3 - 5*n**5 + 2*n**5 + 2*n**4 - 2*n**3 + 2*n**5 = 0 for n.
0, 1
Suppose y - 61 = -5*b, -b + 2*y + 3 = -7. Factor 8*g - 73 - b*g**3 - 20*g**2 + 73.
-4*g*(g + 2)*(3*g - 1)
Suppose 40*t - 41*t = 0. Factor 0 + 2/5*h**2 - 2/5*h**4 + 0*h + t*h**3.
-2*h**2*(h - 1)*(h + 1)/5
Let c(s) be the first derivative of s**6/420 + s**5/70 + s**4/28 + s**3/21 + 3*s**2 - 4. Let a(u) be the second derivative of c(u). Factor a(r).
2*(r + 1)**3/7
Let p(k) = -k + 12. Let g be p(10). What is r in r - 3*r + 3*r**g - 6 + r + 4*r = 0?
-2, 1
Let v(i) be the first derivative of 1/60*i**4 + i + 0*i**3 + 1/100*i**5 + 0*i**2 + 1. Let h(t) be the first derivative of v(t). Factor h(b).
b**2*(b + 1)/5
Let -2 - 17*c + 81/4*c**3 - 63/2*c**2 = 0. Calculate c.
-2/9, 2
Let p be (30/40)/((-1)/(-4)). Factor 0 + 4/5*b**p + 2/5*b**4 + 0*b - 6/5*b**2.
2*b**2*(b - 1)*(b + 3)/5
Suppose -7*p + 9*p - 22 = 0. Determine k, given that -14*k**2 + 2*k**2 + 4*k - p*k**3 + k**3 + 22*k**3 - 4*k**4 = 0.
0, 1
Let i(q) be the second derivative of q**5/70 - q**3/21 + 5*q. Determine f, given that i(f) = 0.
-1, 0, 1
Let p(d) be the first derivative of -1/2*d**3 - 1/20*d**5 + 1/2*d**2 - 2*d + 1 + 1/4*d**4. Let g(r) be the first derivative of p(r). Solve g(q) = 0.
1
Let c be (-6)/(-1)*(-16)/6. Let t = 18 + c. Factor -8/9*g - 4/3*g**t - 8/9*g**3 - 2/9 - 2/9*g**4.
-2*(g + 1)**4/9
Let b(s) be the first derivative of 0*s**3 + 0*s**4 + 2 - 1/30*s**5 - 1/2*s**2 + 0*s - 1/60*s**6. Let n(o) be the second derivative of b(o). Factor n(c).
-2*c**2*(c + 1)
Suppose 3*a = -0 + 6. Let j(i) be the second derivative of -2*i**a + 3*i + 11/6*i**4 + 3*i**3 + 0. Factor j(o).
2*(o + 1)*(11*o - 2)
Let o(l) = -3*l**2 - 8*l + 2. Let v be o(6). Let c be v/(-441) - (-4)/18. Factor 2/7 + 2/7*r + 2/7*r**4 - c*r**3 - 4/7*r**2 + 2/7*r**5.
2*(r - 1)**2*(r + 1)**3/7
Suppose 9/4*j - 3/4*j**2 + 3 = 0. Calculate j.
-1, 4
Let w(a) be the third derivative of -a**7/10080 - a**6/960 + 5*a**4/24 - 3*a**2. Let i(g) be the second derivative of w(g). Solve i(y) = 0.
-3, 0
Let k(p) be the third derivative of 0*p + 0 + 1/12*p**4 + p**2 - 1/60*p**6 - 1/30*p**5 + 0*p**3 + 1/105*p**7. Determine h so that k(h) = 0.
-1, 0, 1
Let s(i) = 119*i + 1. Let z be s(1). Suppose a + z = 6*a. Suppose a*y**2 - 3*y**4 - 3*y - 9*y + 6*y**4 - 15*y**3 = 0. Calculate y.
0, 1, 2
Let i(v) be the first derivative of -3*v**5/35 - 3*v**4/28 + 3*v**3/7 + 3*v**2/14 - 6*v/7 - 3. Solve i(l) = 0 for l.
-