of 3*u**5/20 + u**4/2 - u**3/2 - 3*u**2 + 3*u. Solve x(s) = 0.
-2, -1, 1
Suppose 0 = -5*b + 8 + 7. Factor -u**2 + 0 - 1/3*u**4 + 1/3*u + u**b.
-u*(u - 1)**3/3
Let l be 2/3 + 34/(-60). Let j(b) be the first derivative of -1/4*b**4 + 0*b + 1/8*b**2 + 1/8*b**6 + 1/6*b**3 + 1 - l*b**5. Let j(v) = 0. Calculate v.
-1, -1/3, 0, 1
Let g = -17 + 17. Let r(b) be the third derivative of 0*b + g + 1/108*b**4 + 1/270*b**5 + b**2 + 0*b**3. What is t in r(t) = 0?
-1, 0
Let q(k) be the third derivative of -k**6/96 - k**5/16 + 5*k**4/24 - 15*k**2. Factor q(s).
-5*s*(s - 1)*(s + 4)/4
Let a(c) be the second derivative of -c**6/165 + c**5/110 + 7*c**4/66 - 13*c**3/33 + 6*c**2/11 - 23*c. What is v in a(v) = 0?
-3, 1, 2
Let n(t) be the first derivative of -2/5*t - 7/20*t**4 + 4/5*t**3 - 5 - 3/10*t**2. Factor n(a).
-(a - 1)**2*(7*a + 2)/5
Let c(z) be the second derivative of -z**7/840 + z**5/240 + z**2/2 - 3*z. Let h(q) be the first derivative of c(q). Find a, given that h(a) = 0.
-1, 0, 1
Suppose a + m = -0*m + 8, 2*a - 16 = 5*m. Let n be (-4)/18 + 87/27. Suppose 150*o**2 + 74*o**3 + 34*o**n + 17*o**3 + a + 60*o = 0. What is o?
-2/5
Suppose 4*m + 20 = 9*m. Let o(b) be the second derivative of 0*b**2 + 1/10*b**5 - 1/42*b**7 + 0 + 0*b**m - 1/6*b**3 + 0*b**6 + b. What is h in o(h) = 0?
-1, 0, 1
Suppose 4 = -r - 1. Let a = -1 - r. Solve -3*t**5 + 8*t**2 - t - 20*t**3 + 32*t**4 - 11*t**5 - 2*t**5 - a*t**3 = 0 for t.
0, 1/2
Let v(o) be the first derivative of 1 + 1/8*o**2 + 1/6*o**3 - 1/4*o. Factor v(l).
(l + 1)*(2*l - 1)/4
Let n(k) = -3*k**4 + 71*k**3 - 236*k**2 + 27*k + 144. Let p(f) = -32*f**4 + 780*f**3 - 2596*f**2 + 298*f + 1584. Let q(o) = -68*n(o) + 6*p(o). Factor q(a).
4*(a - 6)**2*(a - 1)*(3*a + 2)
Factor -4/5*k**2 - 2/5 + 6/5*k**4 - 4/5*k**3 - 2/5*k**5 + 6/5*k.
-2*(k - 1)**4*(k + 1)/5
Let q(t) be the second derivative of -t**8/1680 + t**7/210 - t**6/120 - t**3/3 + 2*t. Let r(c) be the second derivative of q(c). Factor r(x).
-x**2*(x - 3)*(x - 1)
Let w(m) be the second derivative of 7/20*m**5 - m**2 + m**4 + 0 + m + 1/2*m**3. Factor w(x).
(x + 1)**2*(7*x - 2)
Factor 0 + 2/17*d - 4/17*d**2 + 2/17*d**3.
2*d*(d - 1)**2/17
Suppose 17*v - 8 = 15*v. Solve 2/3*o + 2*o**3 + 2/3*o**v + 0 + 2*o**2 = 0 for o.
-1, 0
Let v(s) be the second derivative of s**5/100 - s**4/15 + s**3/6 - s**2/5 - 29*s. Factor v(a).
(a - 2)*(a - 1)**2/5
Suppose 3*g - 3*n = 0, 3*g + 2*n = -3*n. Factor 0*a + 1/4*a**4 + 1/2*a**5 - 1/4*a**3 + 0*a**2 + g.
a**3*(a + 1)*(2*a - 1)/4
Let n(r) = -9*r**3 + 11*r**2 - 9*r - 7. Suppose 5*f + 31 = -39. Let w(p) = 4*p**3 - 5*p**2 + 4*p + 3. Let t(s) = f*w(s) - 6*n(s). Solve t(v) = 0 for v.
0, 1
Let q(b) be the third derivative of 2*b**7/525 + b**6/150 - b**5/75 - b**4/30 - 8*b**2. What is l in q(l) = 0?
-1, 0, 1
Let f = 19 - 39. Let j be 7/f - 12/(-16). Factor -2/5*w**2 + 0 + j*w.
-2*w*(w - 1)/5
Let c = 256187/792 + -2585/8. Let j = -4/33 + c. Solve -2/9*u**2 + j*u**4 + 0 + 0*u**3 + 0*u = 0 for u.
-1, 0, 1
Factor 0 - 2/5*w**4 + 2/5*w**2 + 2/5*w - 2/5*w**3.
-2*w*(w - 1)*(w + 1)**2/5
Let w(r) = 10*r**3 + 35*r**2 + 55*r + 35. Let y(k) = 11*k**3 + 36*k**2 + 54*k + 34. Let b(u) = 6*w(u) - 5*y(u). Find l such that b(l) = 0.
-2
Let c(f) be the second derivative of 3*f + 0 - 23/12*f**4 - 21/5*f**5 + 32/21*f**7 - 8/3*f**6 - 1/3*f**3 + 0*f**2. Factor c(l).
l*(l - 2)*(4*l + 1)**3
Let w be 0/2*(-1)/2. Suppose w*m**3 + 21*m**2 - 16*m**4 - 5*m**2 + 2*m**3 - 8*m + 6*m**5 = 0. What is m?
-1, 0, 2/3, 1, 2
Let f be -1 + 0 - (-4 + 2 + 1). Suppose 0*a - 4/3*a**4 + 1/3*a**3 + 0 + f*a**2 = 0. What is a?
0, 1/4
Let z be 38/(-216) - 10/(-40). Let c(t) be the first derivative of 1 + z*t**3 + 0*t + 1/9*t**2. Solve c(i) = 0 for i.
-1, 0
Let i(z) be the second derivative of -z**4/12 + 5*z**3/6 + 17*z**2/2 - 9*z. Let p be i(7). Factor -1/5*m + 2/5*m**4 + 1/5 - 3/5*m**2 + 1/5*m**p.
(m - 1)*(m + 1)**2*(2*m - 1)/5
Let p(z) = -z**3 - 15*z**2 + 3. Let x be p(-15). Let 2/5 + 2/5*n**x + 6/5*n + 6/5*n**2 = 0. What is n?
-1
Let u(a) be the first derivative of -7 + 9/4*a**2 + 6*a - 1/2*a**3. Let u(m) = 0. Calculate m.
-1, 4
Let l(k) be the first derivative of -3*k**4 - 6*k**3 - 9*k**2/2 - 3*k/2 - 4. Factor l(n).
-3*(2*n + 1)**3/2
Suppose 0*h = 3*h - 18. Suppose -s = -h*s. Suppose s*w - 1/4 + 1/4*w**2 = 0. Calculate w.
-1, 1
Let l be (-1)/2 - 25/(-2). Let c be l/(-4)*2/(-3). Factor -y**3 - c*y + 0*y + 3*y**3 + 2 - 2*y**2.
2*(y - 1)**2*(y + 1)
Let q = -23 - -139/6. Let f(l) be the first derivative of 2/9*l**3 - q*l**4 + 1/3*l**2 + 0*l - 2/15*l**5 + 2. Factor f(i).
-2*i*(i - 1)*(i + 1)**2/3
Let p(t) = t**2 + 11*t + 28. Let z be p(-4). Factor 0*h**2 + 0*h + z*h**3 + 1/3*h**4 + 0.
h**4/3
Let o(z) be the second derivative of z**5/80 + z**4/24 + 2*z. Solve o(t) = 0 for t.
-2, 0
Let s = -336 - -1345/4. Let -7/2*g**3 - 3/4*g**5 + 3/2*g**2 + 1/4*g - s + 11/4*g**4 = 0. Calculate g.
-1/3, 1
Suppose -4 = 4*y - 2*x, y + 2*y - 15 = -3*x. Suppose z = 3 - y. Factor 2/3 - 2/3*w**z + 0*w.
-2*(w - 1)*(w + 1)/3
Let u(h) be the third derivative of h**5/12 + 5*h**4/12 + 5*h**3/6 - 9*h**2. Let u(y) = 0. Calculate y.
-1
Let o(k) = 3*k + 5. Let g be o(-1). Determine b so that 0*b + 0*b**g + b**3 + 1/2*b**4 + 0 = 0.
-2, 0
Let 0*a - 4/17*a**2 + 0 + 14/17*a**5 + 4/17*a**4 - 14/17*a**3 = 0. What is a?
-1, -2/7, 0, 1
Suppose 0*k = 4*k - 8. Factor 2*y**2 - k*y**5 - y**5 - 9*y**3 - y**4 + y**2 + 10*y**4.
-3*y**2*(y - 1)**3
Factor 12/5*z + 9/5 + 3/5*z**2.
3*(z + 1)*(z + 3)/5
Let w be (-3)/(-1) - 69/27. Let m = 4/3 - 10/9. Let -2/9 + w*z - m*z**2 = 0. What is z?
1
Let r = -48 + 50. Let h = 75/268 + -2/67. Factor -1/4 + h*u**r + 0*u.
(u - 1)*(u + 1)/4
Let s(h) be the second derivative of -h**5/10 - h**4/2 - 17*h. Factor s(n).
-2*n**2*(n + 3)
Let f(u) be the first derivative of 5/9*u**2 - 2 - 2/9*u**3 + 4/9*u. Factor f(x).
-2*(x - 2)*(3*x + 1)/9
Let v(p) = -9*p**3 + 15*p**2 + 6*p - 6. Let r(c) = -c**3 + c**2 + c + 1. Suppose z + 3*b - 5 = -4*z, -4*z + 2*b = -4. Let m(q) = z*v(q) - 6*r(q). Factor m(i).
-3*(i - 2)**2*(i + 1)
Let o be (-6)/1 + 301*(-5)/(-245). Factor -o*j**2 + 4/7*j - 3/7.
-(j - 3)*(j - 1)/7
Let t(c) be the first derivative of -c**5/150 - c**4/60 - c**2 + 1. Let y(j) be the second derivative of t(j). Factor y(u).
-2*u*(u + 1)/5
Let s be (3 - 0)*(-84)/(-9). Let v be 6/(-21) - (-15)/s. Suppose 0 + 1/2*j + 1/4*j**2 - v*j**3 = 0. What is j?
-1, 0, 2
Let g be -1*(-4 + 2) - -2. Suppose g*p + p - 2*k = 6, -16 = -4*p - 4*k. Find i such that -7*i**p - i + 0*i + 6*i**2 = 0.
-1, 0
Let m(r) be the second derivative of 0 - 1/21*r**4 + 2/7*r**2 - 1/3*r**3 + 1/10*r**5 - r. Factor m(a).
2*(a - 1)*(a + 1)*(7*a - 2)/7
Determine v, given that -20/9*v**5 - 16/3*v**2 + 16/3*v**4 + 0 + 4/9*v**3 + 16/9*v = 0.
-1, 0, 2/5, 1, 2
Let k(q) = 52*q**2 - 38*q + 22. Suppose 0 = -3*p - p - 48. Let t(o) = -21*o**2 + 15*o - 9. Let c(f) = p*t(f) - 5*k(f). Determine x, given that c(x) = 0.
1/4, 1
Let j(f) be the second derivative of -3*f**5/50 - f**4/15 + f**3/5 + 2*f**2/5 - 8*f. What is b in j(b) = 0?
-1, -2/3, 1
Let c(j) be the third derivative of 3*j**2 + 0 + 1/36*j**4 + 0*j - 1/9*j**3 - 1/360*j**5. Suppose c(z) = 0. Calculate z.
2
Let p(b) = 5*b**4 - 13*b**3 + 13*b**2 + 13*b - 9. Let d(y) = 2*y**4 - 6*y**3 + 6*y**2 + 6*y - 4. Let c(s) = -9*d(s) + 4*p(s). Factor c(r).
2*r*(r - 1)*(r + 1)**2
Let y be 0/8 + (1 - -1). Factor 3*b**2 - 2*b + b - y*b - 12 + 6.
3*(b - 2)*(b + 1)
Let v(p) be the second derivative of p**5/120 - p**4/48 - p**2 - p. Let s(f) be the first derivative of v(f). Let s(b) = 0. What is b?
0, 1
Let n(g) be the second derivative of -g**6/270 + 7*g**4/108 + g**3/9 + 16*g. Let n(w) = 0. Calculate w.
-2, -1, 0, 3
Let b(y) = y**2 + 6*y + 2. Let s be b(-6). Suppose -k**2 + 4*k**3 + 4*k**2 - 4*k**s - 3*k**4 = 0. What is k?
0, 1/3, 1
Let b(k) = 17*k**3 - 36*k**2 + 13*k + 2. Let a = -2 + -2. Let g(z) = -z**3 + z - 1. Let t(m) = a*g(m) + b(m). Find u such that t(u) = 0.
-2/7, 1
Let h be (-16)/(-6) + (-4)/(-3). Let m(u) = -u + 6. Let i be m(h). What is p in -1/5*p**3 + 0*p + 7/5*p**i - 3/5*p**4 - 4/5 + 1/5*p**5 = 0?
-1, 1, 2
Let n = -1007/5 - -203. Let -4/5*g**2 + 0*g + 1/5*g**5 + n*g**3 + 0 - g**4 = 0. Calculate g.
0, 1, 2
Let s be (3 - 14/4)*(0 - 0). Factor 0 + 2/9*f**3 + s*f**2 - 2/9*f.
2*f*(f - 1)*(f + 1)/9
Let u(o) be the first derivative of o