iven that 8/5*a**2 + 0*a - 4/5*a**5 - 4*a**3 + 0 + 16/5*a**4 = 0.
0, 1, 2
Let h be 5364/(-70) - 18/(-42). Let t = h - -77. Solve 2*w**5 + t*w - 6/5*w**4 + 6/5*w**2 - 14/5*w**3 + 0 = 0.
-1, -2/5, 0, 1
Let r(d) be the third derivative of d**7/70 + d**6/40 - 3*d**5/10 - d**4/2 + 4*d**3 + 2*d**2. Factor r(s).
3*(s - 2)*(s - 1)*(s + 2)**2
Let b(y) be the third derivative of 1/6*y**4 - 2*y**2 + 1/30*y**5 + 1/3*y**3 + 0*y + 0. Find u such that b(u) = 0.
-1
Let n(c) be the second derivative of c**4/42 + 4*c**3/7 + 48*c. Let n(z) = 0. What is z?
-12, 0
Let n(u) be the third derivative of -3*u**8/112 + 13*u**7/70 - 7*u**6/20 - u**5/5 + u**4 + 46*u**2. Find y such that n(y) = 0.
-2/3, 0, 1, 2
Factor 4*c + 4*c**3 - 4*c**2 - 2*c + 0*c**3 - 2*c**3.
2*c*(c - 1)**2
Let a = -1 + 2. Factor 1 + 2*o**2 + 5*o**2 + a - 2*o**3 - 6*o - o**2.
-2*(o - 1)**3
Factor 240*y - 12 + 801*y**3 - 171*y**3 + 453*y**3 - 1276*y**2 - 35*y**2.
3*(y - 1)*(19*y - 2)**2
Let y(k) = -k**2 + 32*k - 154. Let o be y(6). Suppose 0 + 0*h**o + 0*h - 22/7*h**4 + 18/7*h**5 + 4/7*h**3 = 0. Calculate h.
0, 2/9, 1
Let u(z) be the third derivative of -z**5/270 - z**4/27 - 4*z**3/27 + 2*z**2 - 36. Factor u(h).
-2*(h + 2)**2/9
Let p(u) = u**2 + 21*u - 44. Let k be p(2). Factor -9/4*h**3 + 9/4*h**k + 0 + 3/4*h**4 - 3/4*h.
3*h*(h - 1)**3/4
Solve 45*q**3 - q**5 - 52*q**3 - 3*q**2 - 8*q**4 + 3*q**4 = 0 for q.
-3, -1, 0
Factor -2 + 4*v + v**2 + v**2 - 4*v**2.
-2*(v - 1)**2
Let u be (-3)/(-5) + (-1152)/45. Let g = -22 - u. Solve -1/3 + 0*b**2 - 2/3*b**g + 1/3*b**4 + 2/3*b = 0.
-1, 1
Determine z so that 90 - 2*z**3 + 6*z**2 - 90 = 0.
0, 3
Let w(l) be the third derivative of l**6/540 - l**5/45 + l**4/9 + 7*l**3/6 - 2*l**2. Let b(d) be the first derivative of w(d). Solve b(p) = 0 for p.
2
Let l be (-1)/(-2) + (-20)/8. Let o be -3*(l - (-2 - -1)). Factor 0*m**5 + 4*m**4 + 3*m**5 + m + 0*m**5 - 6*m**2 + 2 - 4*m**o.
(m - 1)*(m + 1)**3*(3*m - 2)
Let h be 16/6 - (-3)/(-63)*-7. Factor -h - 9/2*t - 9/4*t**2 - 3/8*t**3.
-3*(t + 2)**3/8
Let a(o) = 9*o**2 - 3*o. Let c be 21 + -1 + (-42)/14. Let s(j) = 26*j**2 - 9*j - 1. Let h(i) = c*a(i) - 6*s(i). Factor h(y).
-3*(y - 2)*(y + 1)
Let m = -35 - -37. Solve 8/5*j**m - 4/5*j**4 + 2/5*j - 4/5*j**3 + 2/5*j**5 - 4/5 = 0.
-1, 1, 2
Let b(q) = 7*q**4 + 9*q**3 - 11*q**2 - 13*q + 3. Let z(l) = -6*l**4 - 8*l**3 + 10*l**2 + 12*l - 4. Let g(w) = 4*b(w) + 5*z(w). Suppose g(y) = 0. What is y?
-2, 1
Suppose -2*l + 4 = 5*r + 2*l, 5*r = -2*l + 2. Suppose r = 5*x - x. Factor -2/11*q**4 + x*q + 0*q**2 - 2/11*q**3 + 0.
-2*q**3*(q + 1)/11
Let t(v) be the third derivative of v**8/336 + v**7/70 - v**6/60 - v**5/10 + v**4/24 + v**3/2 + 7*v**2. Factor t(w).
(w - 1)**2*(w + 1)**2*(w + 3)
Suppose 8*o + 38 = 70. Find b such that 1/2*b**5 - 3/2*b**3 + 5/2*b**2 - 1/2*b**o + 0 - b = 0.
-2, 0, 1
Factor 0*t + 8/3*t**3 + 0 + 4/3*t**4 + 4/3*t**2.
4*t**2*(t + 1)**2/3
Let w(i) be the second derivative of i**9/5040 - i**7/1400 + i**3/3 + 3*i. Let z(l) be the second derivative of w(l). Factor z(a).
3*a**3*(a - 1)*(a + 1)/5
Let x(m) = m**3 + 54*m**2 - 115*m + 68. Let n(t) = -4*t**3 - 161*t**2 + 345*t - 202. Let r(h) = -4*n(h) - 11*x(h). Suppose r(g) = 0. What is g?
-12, 1
Let r(k) be the third derivative of 3*k**7/280 + k**6/24 + k**5/20 + k**3/2 - 9*k**2. Let c(w) be the first derivative of r(w). Let c(y) = 0. Calculate y.
-1, -2/3, 0
Factor 5/3*c - 1/3*c**2 - 4/3.
-(c - 4)*(c - 1)/3
Let n be (-6)/2 - -2*(-10)/(-6). Factor -1/3*f - n*f**2 + 2/3*f**3 + 0.
f*(f - 1)*(2*f + 1)/3
Suppose 3*a - 2*a + 3*t - 9 = 0, 15 = 5*a + 5*t. Factor -2/9*f**2 + a - 2/9*f.
-2*f*(f + 1)/9
Find b, given that 41*b**3 - 9*b**2 - 65*b**3 + 13 + 9*b**4 + 36*b - 1 = 0.
-1, -1/3, 2
Let s(m) be the second derivative of m**4/36 - m**3/2 + 4*m**2/3 - 9*m. Factor s(y).
(y - 8)*(y - 1)/3
Let d be 3*(5 + -2)/3. Factor 2/9 + 4/9*n + 0*n**2 - 4/9*n**d - 2/9*n**4.
-2*(n - 1)*(n + 1)**3/9
Let c(r) be the first derivative of -3 + 0*r**2 + 0*r - 1/9*r**3. Suppose c(b) = 0. Calculate b.
0
Let g be 8/(-28) - (-46)/14. Suppose 9*d**g - 2*d**2 - 6 + 8*d**4 - 15*d + 5*d**3 + d = 0. Calculate d.
-1, -3/4, 1
Let m be 110/945*3 - (-2)/9. Solve 0*s**3 - 2/7*s**4 - 2/7 + m*s**2 + 0*s = 0 for s.
-1, 1
Let d be (-5)/(-6)*4/5. Let i = 1/86 - -169/258. Solve -i*v - d*v**2 + 0 = 0.
-1, 0
Let h = 80 + -78. Determine b, given that 8/3*b - h*b**3 + 0 + 2/3*b**5 - 8/3*b**2 + 4/3*b**4 = 0.
-2, 0, 1
Factor 5*f**3 + 0*f + 5/2*f**4 + 0 - 15/2*f**2.
5*f**2*(f - 1)*(f + 3)/2
Let i(z) be the first derivative of -3*z**5/25 + 3*z**4/20 + 2*z**3/5 + 4. Determine m, given that i(m) = 0.
-1, 0, 2
Let x be 3 + (5 - (0 - -2)). Let t be (-3)/x*-4 + -1. Find y such that 2 + 3*y**2 + 6*y - 2 + 2 + t = 0.
-1
Let f(d) = d + 7. Let x be f(-4). Let q**5 + 25*q**x + 2*q**4 - 7*q - 38*q**2 - 8 - 10*q**4 + 35*q = 0. Calculate q.
1, 2
Suppose 3*t - 4*j - 6 = 0, 5*t - 3*j - 10 = -8*j. Find z, given that z**2 + 0*z**2 - 2*z**3 - 4*z**2 + 2*z**t - z**4 = 0.
-1, 0
Let t(n) be the first derivative of -2*n**3/15 - n**2/5 - 6. What is s in t(s) = 0?
-1, 0
Let q be (-3)/1 + 17 + 2. Factor 3*t**3 + 0 - 3*t**3 + 8 - 2*t**3 - q*t + 10*t**2.
-2*(t - 2)**2*(t - 1)
Let h(c) be the third derivative of -c**9/30240 + c**8/13440 - c**4/8 + 2*c**2. Let f(j) be the second derivative of h(j). Factor f(b).
-b**3*(b - 1)/2
Factor 24/7*x - 48/7 - 3/7*x**2.
-3*(x - 4)**2/7
Let s(u) = -u**3 - 7*u**2 - 7*u - 6. Let f = 19 + -25. Let x be s(f). Factor a**2 + x + 2/3*a.
a*(3*a + 2)/3
Let v = -13 + 14. Let y = -1/2 + v. Factor -1/2*s + s**2 - y*s**3 + 0.
-s*(s - 1)**2/2
Let b = 813/4 - 201. Factor 11/4*w + b*w**2 + 1/2.
(w + 1)*(9*w + 2)/4
Suppose -w + 5 - 11 = -i, -2*i - 2*w - 4 = 0. Let 14*x - 10*x + 6*x**i - 3*x**3 + 5*x**3 = 0. Calculate x.
-2, -1, 0
Let u = 19 + -17. Let n(q) = -3*q**2 + q + 2. Let w(o) = 4*o**2 - 3. Let i(f) = u*w(f) + 3*n(f). Factor i(h).
-h*(h - 3)
Let h(p) be the second derivative of -p**5/150 - 2*p**2 + 5*p. Let l(k) be the first derivative of h(k). Suppose l(b) = 0. Calculate b.
0
Let m = -30 - -32. Let q(g) be the second derivative of -1/7*g**2 + 1/42*g**4 - m*g + 0*g**3 + 0. Suppose q(l) = 0. Calculate l.
-1, 1
Let t(j) be the first derivative of j**3 + 15/4*j**4 + 0*j**2 - 2 + 21/5*j**5 + 0*j + 3/2*j**6. Find b such that t(b) = 0.
-1, -1/3, 0
Let k(q) = 3*q - 13. Let r be k(11). Factor 6*u + 0*u**4 + 5*u**4 - 27*u**2 - 5*u**3 + 41*u**3 - r*u**4.
-3*u*(u - 1)**2*(5*u - 2)
Let c = 34 - 63. Let x = 31 + c. Solve 1/4 + 9*p**x + 3*p = 0 for p.
-1/6
Let y(i) = -14*i**2 - i + 1. Let c be y(1). Let j = -14 - c. Factor -1/3*u**3 - 1/3*u**2 + j + 0*u.
-u**2*(u + 1)/3
Suppose 16 - 48*h**4 - 4*h**3 + 17 + 52*h**2 - 37 + 4*h = 0. Calculate h.
-1, -1/3, 1/4, 1
Let s(p) be the first derivative of -2*p**3/33 - 2*p**2/11 + 33. Factor s(n).
-2*n*(n + 2)/11
Let o(c) be the second derivative of -3/2*c**3 + 0 + 0*c**2 - 1/4*c**4 - 6*c. Find h such that o(h) = 0.
-3, 0
Factor 0 + 11*p**3 + 0 - 2*p - 9*p**3.
2*p*(p - 1)*(p + 1)
Factor 40*l**4 - 2560*l - 2*l**5 + 1280*l**2 - 158*l**3 + 2048 - 180*l**3 + 18*l**3.
-2*(l - 4)**5
Let z(c) be the first derivative of c**4/9 + c**3/6 - c**2/6 - 2*c + 4. Let k(f) be the first derivative of z(f). Determine d, given that k(d) = 0.
-1, 1/4
Let q be 3/(9/(-2))*6. Let k be (20/25)/(q/(-10)). Factor 2/9*w**3 - 4/9*w**4 + 0 + 0*w + 0*w**k + 2/9*w**5.
2*w**3*(w - 1)**2/9
Let i(w) be the first derivative of w**7/945 - w**6/540 - w**5/270 + w**4/108 - w**2 + 7. Let q(c) be the second derivative of i(c). Solve q(j) = 0 for j.
-1, 0, 1
Let h(q) = 6*q**5 + 13*q**4 + q**3 - 13*q**2 - 7. Let a(b) = 3*b**5 + 7*b**4 + b**3 - 7*b**2 - 4. Let p(n) = -7*a(n) + 4*h(n). Factor p(m).
3*m**2*(m - 1)*(m + 1)**2
Let i(f) be the third derivative of f**8/84 - 86*f**7/105 + 523*f**6/30 - 1321*f**5/15 + 620*f**4/3 - 800*f**3/3 + 12*f**2. Factor i(o).
4*(o - 20)**2*(o - 1)**3
Let v(w) be the first derivative of -w**4/6 - 4*w**3/9 + 2. Suppose v(y) = 0. What is y?
-2, 0
Let j be ((-6)/9)/((-2)/15). Suppose -32 = -4*d - 3*k - k, 0 = k - 5. Factor -j*y**3 + 5*y**d + y**4.
y**4
Let k(n) be the second derivative of -1/54*n**4 - 1/27*n**3 + 2/9*n**2 + 3*n + 0. Determine j so that k(j) = 0.
-2, 1
Let a = 9 - 4. Factor -7*s**3 - 3*s**3 - 8*s**3 + 4*s**2 + a*s**4 + 9*s**4.
2*s**2*(s - 1)*(7*s - 2)
Let q(s) be