m(y).
(y - 1)**3*(y + 1)*(7*y - 2)/2
Determine d, given that 6*d**4 + 0*d**4 - 6*d**2 + 9*d**5 + 3*d**3 - 7*d**3 - 5*d**3 = 0.
-1, -2/3, 0, 1
Let f = 15 - 14. Suppose 8 = 3*u - f. Factor -1/3 + b**4 + 2/3*b**u - b - 2/3*b**2 + 1/3*b**5.
(b - 1)*(b + 1)**4/3
Suppose -6/11*h + 4/11*h**3 + 4/11*h**2 + 2/11*h**5 + 2/11 - 6/11*h**4 = 0. Calculate h.
-1, 1
Let t(y) = -y**2 + 9*y + 12. Let r be t(10). Let v = -55/28 + 9/4. Solve 30/7*p**r + v - 26/7*p**3 - 2*p + 8/7*p**4 = 0 for p.
1/4, 1
Factor 0*o - 16/5*o**3 + 8/5*o**2 + 0 - 2*o**4.
-2*o**2*(o + 2)*(5*o - 2)/5
Let y(z) be the first derivative of z**5/60 + z**4/36 - z**3/18 - z**2/6 + 7*z - 2. Let a(t) be the first derivative of y(t). Let a(w) = 0. Calculate w.
-1, 1
Let m(x) be the second derivative of 0 - x**4 + 1/10*x**5 - 8*x**2 + 4*x**3 + 5*x. What is k in m(k) = 0?
2
Let u be 2/(-33)*147/(-7). Factor -u*n**2 - 16/11*n**3 - 4/11*n - 6/11*n**4 + 0.
-2*n*(n + 1)**2*(3*n + 2)/11
Let h(r) = r**2 + 4*r. Let s be h(-3). Let m = -1 - s. Solve -2/7*w**m - 2/7*w + 4/7 = 0 for w.
-2, 1
Let o = 2 + 0. Let v(x) be the first derivative of 1 + 0*x + 2/5*x**5 - 2/3*x**3 + 0*x**o + 0*x**4. Factor v(u).
2*u**2*(u - 1)*(u + 1)
Let z(u) be the second derivative of -2*u + 1/9*u**4 - u**2 - 4/9*u**3 + 1/45*u**6 + 0 + 2/15*u**5. Factor z(w).
2*(w - 1)*(w + 1)**2*(w + 3)/3
Let n = -6 - -6. Suppose -5*l + 0 + 10 = n. Find t, given that 1/4*t - 1/2*t**4 + 0 - 1/4*t**5 + 0*t**3 + 1/2*t**l = 0.
-1, 0, 1
Let z(f) = -f**4 - 16*f**3 - 105*f**2 - 265*f - 247. Let k(v) = v**2 + v - 1. Let j(t) = -36*k(t) - 4*z(t). Factor j(a).
4*(a + 4)**4
Let q(k) be the third derivative of 0 + 0*k + 1/30*k**5 - 1/4*k**4 - 2*k**2 + 0*k**3. Factor q(t).
2*t*(t - 3)
Let q = -16/3 - -188/33. Factor 2/11*z**4 - 6/11*z**2 + 8/11*z + 8/11 - q*z**3.
2*(z - 2)**2*(z + 1)**2/11
Let g be 10/24 + 2/8. Let n be ((-4)/2)/((-2)/3). Suppose 2/9*z**n - 2/3*z**2 + g*z - 2/9 = 0. What is z?
1
Let u be 1*(2 + -1) - 9. Let x = -5 - u. Let x*l**2 - l**2 - 1 - 1 = 0. What is l?
-1, 1
Factor -34*o - o**3 + 17*o + 18*o.
-o*(o - 1)*(o + 1)
Suppose -3*l + 2*r + 4 = -6, 5*l = -5*r. Suppose -2*n + 3*q = 8, -4*q + 18 = l. Factor n*p - 12 + 12 - 2*p**2.
-2*p*(p - 1)
Let r = 119/24 + -29/8. Suppose -5*p + 25 + 0 = 0. Factor 2/3*n**p + r*n**4 + 0 + 2/3*n**3 + 0*n**2 + 0*n.
2*n**3*(n + 1)**2/3
Suppose 0 = -2*l + 16*l - 42. Factor -1/6*q**l + q**2 - 2*q + 4/3.
-(q - 2)**3/6
Let i(r) be the first derivative of -r**4 + 8*r**3/3 + 2*r**2 - 8*r - 15. Factor i(w).
-4*(w - 2)*(w - 1)*(w + 1)
Let c be 0 + -4 - (-63)/9. Suppose 0 = c*h - 14 + 2. Solve -7/3*v**h - v**2 + 4*v**3 + 0 - 2/3*v = 0.
-2/7, 0, 1
Let v = 31 + -215/7. What is g in 2/7*g**2 + v*g + 0 = 0?
-1, 0
Let o = -7 + 11. Factor 3*f**3 + 5*f**2 - 9*f**5 - 12*f**o + 0*f**3 + f**2.
-3*f**2*(f + 1)**2*(3*f - 2)
Let x(o) be the first derivative of 0*o + 0*o**4 - 2/3*o**3 - 1/2*o**2 + 1/6*o**6 + 2/5*o**5 - 4. Factor x(l).
l*(l - 1)*(l + 1)**3
Let d(h) = -h**4 - h**3 + h**2 - h + 1. Let z(j) = -4*j**4 - 6*j**3 - j**2 - j + 13. Let b(s) = -15*d(s) + 3*z(s). What is p in b(p) = 0?
-2, -1, 2
Let h be (-1)/(-4)*-2*-6. Let j(l) be the first derivative of 1/10*l**6 - 3/10*l**2 + 0*l + 6/25*l**5 - 2/5*l**h + 0*l**4 + 3. Factor j(b).
3*b*(b - 1)*(b + 1)**3/5
Let z(r) be the second derivative of -r**6/240 + 3*r**5/40 - 9*r**4/16 + 9*r**3/4 + r**2 + 4*r. Let g(t) be the first derivative of z(t). What is s in g(s) = 0?
3
Let i be ((-2120)/(-70))/4 - 7. Suppose 4*o - o = 12. Suppose 0*j**3 - 2/7*j**5 - i*j**2 + 4/7*j**o + 2/7*j + 0 = 0. Calculate j.
-1, 0, 1
Suppose 4*t + 1 - 3 = j, -3*t - j = -5. Let k(x) = x. Let b(g) = 2*g**2 + 6*g - 2. Let q(n) = t*b(n) - 6*k(n). Factor q(u).
2*(u - 1)*(u + 1)
Let q be (13/(-546))/((-1)/2). Let s(w) be the first derivative of 2/21*w**3 - 2/35*w**5 + 2 + 0*w**2 - 1/14*w**4 + q*w**6 + 0*w. Factor s(d).
2*d**2*(d - 1)**2*(d + 1)/7
Suppose -5*u - 6 = -2*g, -2*g = -2*u - 2*u - 6. Factor -1/5*x**g + 0 + 0*x + 1/5*x**2.
-x**2*(x - 1)/5
Let u(n) = -7*n**2 - 15*n**3 + 15*n**3 + 0*n**4 + 2*n**4. Let a(r) = -r**4 + 3*r**2. Let m(x) = -5*a(x) - 2*u(x). Find w, given that m(w) = 0.
-1, 0, 1
Let b be (-1 - 4/(-5))*(-1 - 0). Let k(w) be the first derivative of 1/15*w**3 + 1/5*w - b*w**2 + 3. Find y, given that k(y) = 0.
1
Let r(a) be the second derivative of 0*a**3 + 1/210*a**7 + 1/25*a**6 + 3/25*a**5 + 0 - 3*a + 2/15*a**4 + 0*a**2. Suppose r(w) = 0. What is w?
-2, 0
Let t(w) be the first derivative of -2*w**5/35 - w**4/7 - 2*w**3/21 + 8. What is k in t(k) = 0?
-1, 0
Let f(b) be the second derivative of -b**5/40 - 7*b**4/96 - b**3/24 + b**2/16 - 10*b. Determine s, given that f(s) = 0.
-1, 1/4
Suppose -5*r + 2*p + 16 = 0, 10 = 5*p + 25. Let -3*k**3 + 2*k + 5*k**3 + k**r + 3*k**2 = 0. Calculate k.
-1, 0
Let n(d) be the third derivative of d**9/30240 + d**8/6720 - d**4/12 - 2*d**2. Let a(h) be the second derivative of n(h). Factor a(c).
c**3*(c + 2)/2
Factor -159*m - 1331 - m**3 - 31*m**2 - 204*m - 2*m**2.
-(m + 11)**3
Suppose n + 0 = 2. Let 6*p**3 - 6*p**4 - 9*p**2 + 8*p**2 - p**n + 2*p**5 = 0. What is p?
0, 1
Let p = -20 - -41/2. Find r such that r + 0*r**2 - r**3 + p*r**4 - 1/2 = 0.
-1, 1
Let h(g) be the third derivative of g**5/80 - g**4/24 + g**3/24 + 34*g**2. Factor h(i).
(i - 1)*(3*i - 1)/4
Let r(k) = k**2 + 4*k + 2. Let d be r(-4). Let q(o) be the first derivative of -5/3*o**3 - 1 - o - 1/2*o**4 - 2*o**d. Factor q(w).
-(w + 1)**2*(2*w + 1)
Let k(l) be the first derivative of -l**6/90 - l**5/90 - 3*l**2/2 - 3. Let z(d) be the second derivative of k(d). Let z(w) = 0. Calculate w.
-1/2, 0
Let w(k) = k**4 - k**3 - 3*k**2 + 3*k. Suppose 3*m - 30 = -2*m. Let i(r) = 4*r**4 - 4*r**3 - 11*r**2 + 11*r. Let f(x) = m*i(x) - 22*w(x). Factor f(y).
2*y**3*(y - 1)
Let i = 21 - 22. Let n be 3/i + (-10)/(-2). Let g - 1/2*g**n - 1/2 = 0. Calculate g.
1
Suppose -16 = -2*w - 12. Factor -4/7*c**3 - 2/7*c**w + 0*c + 0 - 2/7*c**4.
-2*c**2*(c + 1)**2/7
Let z be (-2 - 1)*15/(-9). Factor 2*o + 0*o**2 - o**2 - 6 + 4*o**2 - z*o.
3*(o - 2)*(o + 1)
Suppose 0 - 2/7*r**5 + 0*r**4 + 4/7*r**3 - 2/7*r + 0*r**2 = 0. Calculate r.
-1, 0, 1
Suppose 0 = 2*f - 0 - 4. Suppose 3*z + f*z - d = 15, 4*z - d = 13. Find j such that -z*j**2 - 4 + j**3 + j + 4 = 0.
0, 1
Let t be (-6)/7*(-147)/210. Find b such that 3/5*b**3 + 0 - t*b**2 + 3/5*b**4 - 3/5*b = 0.
-1, 0, 1
Let x(w) = w**2 - 3*w + 3. Let s(a) be the first derivative of -a**3 + 9*a**2/2 - 8*a - 2. Let t(d) = -3*s(d) - 8*x(d). Factor t(u).
u*(u - 3)
Let i(f) = -f**3 + 5*f**2 - f - 2. Let h be i(3). Let l be 2/h - (-14)/(-91). Determine v so that -2/3*v**5 + 0*v**3 + l*v + 0*v**2 + 0 - 2/3*v**4 = 0.
-1, 0
Find l, given that 8/9 + 8*l + 18*l**2 = 0.
-2/9
Suppose -2*u = -10, 4*n - 3*u - 6 = -u. Factor -3*y**2 - 2 - n + 2 + 2*y**2 - 4*y.
-(y + 2)**2
Let k(d) be the second derivative of 5*d**4/12 - 5*d**2/2 - 2*d. Find z, given that k(z) = 0.
-1, 1
Let g(f) = -f - 4. Let q be g(-6). Suppose 0*c = -3*c + 3*i + 9, 0 = -q*i + 8. Factor -3*n - 4*n + 2 + c*n**2 + 3*n - 28*n**3 - 31*n**2 - 10*n**4.
-2*(n + 1)**3*(5*n - 1)
Let a = 23/5 + -1/10. Suppose 6*g**4 + g**2 + 0*g + a*g**5 - 11/2*g**3 + 0 = 0. Calculate g.
-2, 0, 1/3
Let o be (-2)/7 + 60/14. Let w(k) be the first derivative of -4/3*k**6 - 4*k + 3 + 5*k**2 - 22/5*k**5 - 1/2*k**o + 26/3*k**3. Solve w(r) = 0 for r.
-2, -1, 1/4, 1
Let g(d) be the third derivative of -1/12*d**3 - 1/30*d**5 - 3*d**2 - 5/48*d**4 + 0*d + 0. Suppose g(a) = 0. What is a?
-1, -1/4
Let 4/7 - 22/7*x + 36/7*x**2 - 18/7*x**3 = 0. Calculate x.
1/3, 2/3, 1
Let j(c) be the second derivative of -c**7/735 + c**6/210 - c**5/210 - 9*c**2/2 - c. Let k(r) be the first derivative of j(r). Suppose k(v) = 0. What is v?
0, 1
Let y(o) = o**4 - o**3 - o**2 + 1. Let u(m) = -5*m**4 + 5*m**3 + 3*m**2 + m - 4. Let x(j) = -u(j) - 6*y(j). Factor x(p).
-(p - 2)*(p - 1)*(p + 1)**2
Factor -6*i**4 - i**5 + 10 - 1 + 6*i**3 + 5*i**2 + 5*i**2 + 3*i**4 - 21*i.
-(i - 1)**3*(i + 3)**2
Suppose 0 = b - 2*b - 1. Let z be (b - -1)/(2/1). Factor z - 1/3*h**2 - 1/3*h.
-h*(h + 1)/3
Let a(q) be the first derivative of -q**3/18 - q**2/12 - 11. Solve a(n) = 0.
-1, 0
Factor -2/9*p**2 + 2/3*p + 8/9.
-2*(p - 4)*(p + 1)/9
Let 1/3*h**2 - 4/3*h + 1 = 0. What is h?
1, 3
Let t be -6 - -2 - (-230)/50. Factor -3/5*l**3 + 6/5 + t*l 