/11 - 16*v/11 - 15. Solve r(t) = 0.
2
Suppose -4*b = 5*u + 6, 2*b - b - 3 = u. Let g = 2 - u. Determine n so that 36/11*n**g - 10/11*n**5 + 6/11*n + 16/11*n**2 - 4/11 - 4*n**3 = 0.
-2/5, 1
Let p(s) be the second derivative of 1/21*s**7 - 4*s + 0 + 0*s**2 + 3/5*s**5 + 1/3*s**3 - 4/15*s**6 - 2/3*s**4. Factor p(h).
2*h*(h - 1)**4
Let n = 59 - 55. Let r(y) be the first derivative of n*y + 3 - y**3 - 1/4*y**4 + 0*y**2. Factor r(z).
-(z - 1)*(z + 2)**2
Let l(u) be the third derivative of 3*u**8/224 - 4*u**7/105 + u**6/48 + u**5/60 + 6*u**2. Solve l(p) = 0.
-2/9, 0, 1
Let n(g) be the first derivative of -2 + 0*g - 2/45*g**5 - 1/18*g**4 + 0*g**2 + 0*g**3. Find o, given that n(o) = 0.
-1, 0
Suppose 0 = -z + 4*z + 15. Let m be ((-4)/10)/(1/z). Solve 1/5*g**3 + 12/5*g - 6/5*g**m - 8/5 = 0 for g.
2
Let -26*q**3 - 2*q**5 + 20*q**4 - 11*q**3 + 16*q**2 - 2*q**5 + 5*q**3 = 0. What is q?
0, 1, 2
Let g(p) be the first derivative of 6*p**5/55 + p**4/22 - 10*p**3/33 - p**2/11 + 4*p/11 - 1. Let g(o) = 0. Calculate o.
-1, 2/3, 1
Suppose x - 2*x + 4 = 0. Let b(f) be the third derivative of 0*f + 0*f**3 + f**2 + 0*f**5 - 1/84*f**x + 0 + 1/420*f**6. Factor b(w).
2*w*(w - 1)*(w + 1)/7
Suppose 41*b**3 + 43*b**3 + 28*b - 25*b**3 + 111*b**2 - 4 + 31*b**3 = 0. What is b?
-2/3, 1/10
Let y = -10 + 12. Factor 3*c**y - 4*c + 0*c - c**2.
2*c*(c - 2)
Let s = 68 + -407/6. Let q = 2/3 - s. Solve q*p**2 + 3/2*p**4 + 0*p + 0 - 1/2*p**5 - 3/2*p**3 = 0 for p.
0, 1
Let n be (0 + -42)*(-9)/18. Let s(x) = -x**2 + 20*x + 23. Let m be s(n). Find c such that -1/3*c**m + 1/3*c + 1/3*c**4 + 0 - 1/3*c**3 = 0.
-1, 0, 1
Let b(h) be the first derivative of -2*h**5/45 + h**4/18 + 4*h**3/27 - 4. Solve b(w) = 0.
-1, 0, 2
Let z(c) = c**4 - c**3 + c**2 + c + 1. Let l(u) = 10*u - 6*u**4 - 3*u**3 - 12*u**3 + 5*u + 15 + 24*u**4 + 12*u**2. Let a(g) = -l(g) + 15*z(g). Factor a(b).
-3*b**2*(b - 1)*(b + 1)
Let i(q) = 4*q**5 - 12*q**4 + 20*q**2 + 4. Let c(m) = m**2 + 1. Let u(z) = 4*c(z) - i(z). Factor u(a).
-4*a**2*(a - 2)**2*(a + 1)
Let r(d) be the first derivative of 35*d**6/8 + 177*d**5/20 + 21*d**4/4 + d**3 + 3. Let r(s) = 0. Calculate s.
-1, -2/5, -2/7, 0
Let -2/11*f**2 - 2/11 + 4/11*f = 0. What is f?
1
Solve -6 + 8*g + 19*g - 36*g - 3*g**2 = 0.
-2, -1
Let f(i) be the third derivative of 1/15*i**5 + 10*i**2 + 0 + 0*i + 6*i**3 - i**4. Let f(m) = 0. Calculate m.
3
Suppose -3*n + 10 = -3*x - 8, 3*n - 2*x - 17 = 0. Suppose 4*w + 17 = j - 6*j, -n*w + 4*j = -30. Factor m**2 + 2*m**2 - w*m - 2*m**2.
m*(m - 2)
Let b be (-11)/198*(0 + -12). Factor -1/3*v**2 + b + 1/3*v.
-(v - 2)*(v + 1)/3
Let w = 366/5 - 73. Let z(j) be the second derivative of -2/25*j**5 - 4/15*j**3 + 1/75*j**6 + w*j**4 + 0 - j + 1/5*j**2. Factor z(k).
2*(k - 1)**4/5
Let u = 2 + 1. Determine i, given that 4*i - u*i - i**3 + 0*i = 0.
-1, 0, 1
Let b(n) be the second derivative of -5/66*n**4 - 4/33*n**3 + 0 + 3/110*n**5 - 10*n + 4/11*n**2. Factor b(k).
2*(k - 2)*(k + 1)*(3*k - 2)/11
Suppose r = -5*q - 15, 15 = -2*r - r - 5*q. Factor 0*u**2 + r + 1/2*u**3 - 1/2*u.
u*(u - 1)*(u + 1)/2
Let g be (-3)/(-2)*(-12)/(-6). Let y be (-1131)/(-15) - (-2)/(-5). What is q in -4*q + 36*q**3 + 8*q**2 + 4*q**g - y*q**4 - 5*q**3 = 0?
-1/3, 0, 2/5
Suppose -3*b + 15 = 2*b. Suppose 0 = -b*t + 8*t - 10. Determine y, given that t*y - 2*y - 6*y**3 + 5*y**3 = 0.
0
Let w be ((-2)/(-2))/((-1)/(-3)). Suppose u = w*u - 10. Let -u*z**3 - 4*z**2 - z**3 + 4*z**3 - 2*z = 0. What is z?
-1, 0
Let w(p) = -2*p - 1. Suppose 14 = -v - 0*o + 3*o, 5*v - 5*o + 30 = 0. Let r be w(v). Factor -q - 2 + r*q**2 - 2*q**3 - q**2 + 3*q.
-2*(q - 1)**2*(q + 1)
Find f, given that 0*f**2 + 0*f + 0 - 36/7*f**4 - 8/7*f**3 - 36/7*f**5 = 0.
-2/3, -1/3, 0
Let v(t) be the second derivative of 1/12*t**4 + 1/2*t**2 + 0 - 5*t + 1/3*t**3. Factor v(g).
(g + 1)**2
Let d(a) be the first derivative of 0*a**5 + 0*a**3 + 1/9*a**6 - 1/6*a**4 + 0*a - 2 + 0*a**2. Determine i so that d(i) = 0.
-1, 0, 1
Let -12/17*z - 10/17*z**4 + 62/17*z**2 - 16/17 - 24/17*z**3 = 0. Calculate z.
-4, -2/5, 1
Factor -518*h - 2*h**2 + 2*h**2 - 5*h**2 + 493*h - 20.
-5*(h + 1)*(h + 4)
Let u be 4 - ((-11)/(-4) + 1). Factor -1/2*l**2 + 1/2*l**3 + 3/4*l**4 + u*l**5 - 3/4*l - 1/4.
(l - 1)*(l + 1)**4/4
Let u(h) be the first derivative of 2*h**5/25 - 3*h**4/10 + 2*h**3/5 - h**2/5 + 4. Factor u(y).
2*y*(y - 1)**3/5
Let i(d) be the third derivative of -d**8/112 + d**7/70 + 10*d**2. Factor i(x).
-3*x**4*(x - 1)
Let c be 4/180*-4 + (-6)/(-27). Let a(o) be the first derivative of 1/6*o**4 + 0*o**2 + 0*o + 0*o**3 - c*o**5 - 1. Find d such that a(d) = 0.
0, 1
Let k be 4 + (1 - 4) + -1. Let b(t) be the second derivative of 1/10*t**5 + 0*t**3 + 0*t**2 + k + 1/30*t**6 + 1/12*t**4 - t. Suppose b(c) = 0. What is c?
-1, 0
Let u be (2/(-4))/((-2)/16). Let d = 22 + -20. What is n in n**4 + u*n**3 + d*n + n**2 - 2*n - 6*n**3 = 0?
0, 1
Let f be 1/3 + (-345)/(-207). Let p be (-2)/(-8) + (-2)/(-4). Factor -1/4*k**f - 1/2 + p*k.
-(k - 2)*(k - 1)/4
Let m(n) = n**4 - n**2 + n - 1. Suppose -3*x + 6 + 0 = 0. Let z(g) = -2*g**5 + 19*g**4 - 2*g**3 - 31*g**2 + 19*g + 5. Let u(a) = x*z(a) - 22*m(a). Factor u(b).
-4*(b - 2)**3*(b + 1)**2
What is r in 4*r**5 - 664*r + 4*r**3 + 664*r + 8*r**4 = 0?
-1, 0
Find z, given that 6*z - z + 2*z**2 - 3*z**2 - 2*z = 0.
0, 3
Let 2*o**4 - 2*o - 4/3 + 14/3*o**3 + 2*o**2 = 0. What is o?
-1, 2/3
Let k(h) = -3*h - 4. Let w be k(-6). Suppose 6 = -4*a + w. Factor -1/5*n**3 - 1/5*n + 2/5*n**a + 0.
-n*(n - 1)**2/5
Suppose -1 = -u + 1. Factor 5*s**4 - u*s**4 + 3*s**5 - 2*s**4.
s**4*(3*s + 1)
Let n(i) be the first derivative of -4*i - 13*i**2 - 9/2*i**4 - 40/3*i**3 + 5. Factor n(l).
-2*(l + 1)**2*(9*l + 2)
Suppose 5*l = -6 + 1. Let n be l + 2 + 1/(-2). Solve 7/4*q - n - 5/4*q**2 = 0.
2/5, 1
Factor -2/3 - 4/3*u - 2/3*u**2.
-2*(u + 1)**2/3
What is r in 0 - 1/2*r - 1/2*r**2 = 0?
-1, 0
Let -20*k + 11 - 60*k**2 - 4 + 13 + 65*k**2 = 0. Calculate k.
2
Let n be 0 - 80/45 - (-2 - 0). Factor 0*q**2 + 2/9*q**3 + 0 - 4/9*q**4 + n*q**5 + 0*q.
2*q**3*(q - 1)**2/9
Let s(m) be the first derivative of 7*m**3 + 27*m - 3/4*m**4 - 45/2*m**2 - 3. Solve s(v) = 0 for v.
1, 3
Let y = 16 + -10. Let d(p) be the second derivative of 1/105*p**y + 4*p + 0 + 0*p**5 + 1/7*p**2 - 1/21*p**4 + 0*p**3. Solve d(m) = 0 for m.
-1, 1
Let u(t) = -t**3 + t**2 + t + 1. Let b(h) = -6*h**3 + 12*h**2 - 6*h + 6. Let f be 14/(-4) - 1/2. Let z = -3 - f. Let l(k) = z*b(k) - 3*u(k). Factor l(i).
-3*(i - 1)**3
Let k(z) = -z**2 - 6*z + 7. Suppose -5*o + 17 = -3*r, 3*r + 0*r + 3*o + 9 = 0. Let n(d) = -6*d + 6. Let q(v) = r*n(v) + 3*k(v). Find a, given that q(a) = 0.
1
Let c(z) be the second derivative of z**5/90 + 31*z. Factor c(r).
2*r**3/9
Let t(m) be the first derivative of 2*m**3/21 + 11*m**2/7 + 20*m/7 - 5. Suppose t(x) = 0. What is x?
-10, -1
Let 34*u - 14 - 39*u + 30*u**3 + 35*u**2 + 4 = 0. Calculate u.
-1, -2/3, 1/2
Let y(g) be the third derivative of g**6/160 - 7*g**4/32 + 3*g**3/4 + 15*g**2. Find u, given that y(u) = 0.
-3, 1, 2
Let y(v) be the second derivative of v**4/27 + 34*v**3/27 + 32*v**2/9 - v + 6. Let y(l) = 0. Calculate l.
-16, -1
Let o be (-6)/(-15) + (-14)/60. Let c(y) be the second derivative of -y**2 - 4*y - o*y**3 + 1/12*y**4 + 0. Solve c(j) = 0.
-1, 2
Factor -3/4*u**3 + 3/4*u**2 + 0 + 0*u.
-3*u**2*(u - 1)/4
Let y(x) be the third derivative of x**6/40 - 3*x**5/10 + 9*x**4/8 + 8*x**2. Factor y(v).
3*v*(v - 3)**2
Suppose -6 = -4*q + 3*x - 0, 0 = -3*q + 5*x - 1. Let l be (-209)/(-231) + (-2)/6. Solve -8/7*g**4 - 2/7*g + 0 - l*g**2 + 2*g**q = 0 for g.
-1/4, 0, 1
Factor -16*g + 6*g**2 + 14*g - 5*g**3 + g**2.
-g*(g - 1)*(5*g - 2)
Factor j**2 + 1/3*j**4 + 0 - j**3 - 1/3*j.
j*(j - 1)**3/3
Let k - k - 4*k - 138*k**2 + 137*k**2 = 0. What is k?
-4, 0
Let n(v) be the second derivative of -11*v**5/20 - 17*v**4/12 + 4*v. Let x(u) = -2*u**3 - 3*u**2. Let m(d) = -6*n(d) + 34*x(d). Suppose m(i) = 0. Calculate i.
0
Suppose 3*x = x - 12. Let c be x/(-4)*8/3. Factor -o + 3*o + 0*o**3 - 2 + 2*o**5 + 4*o**2 - 2*o**c + 0*o**3 - 4*o**3.
2*(o - 1)**3*(o + 1)**2
Let w = 9 + -14. Let y(n) = -2*n**3 - 2*n**2. Let j(p) = -3*p**3 - 3*p**2. Let f(d) = w*y(d) + 4*j(d). Suppose f(m) = 0. What is m?
-1, 0
Suppose -8*y**2 + 2*y + 12*y**2 + y**3 + y**3 - 4 - 4*y**3 = 0. Calculate y.
-1, 1, 2
Let w(z) = -2*z -