te a.
-2, -1, 1
Let a(z) be the second derivative of 0 + 845/2*z**2 - 65/3*z**3 + 13*z + 5/12*z**4. What is h in a(h) = 0?
13
Let o be (12/24)/(2/(-8)*2). Let a be 1/(-3)*o/(1 - 0). Suppose 2/3*v - v**2 + a = 0. Calculate v.
-1/3, 1
Let -127 - 92 - 112*h**2 - 2*h**5 + 38*h**4 - 62*h**3 + 219 + 10*h**2 = 0. What is h?
-1, 0, 3, 17
Let b be 7/42*((-6)/3 + 14). Find v such that -2/3*v**3 - 8/3*v**2 + 0 - b*v = 0.
-3, -1, 0
Let c = 1460 + -1458. Factor -2/11*x**3 - 32/11*x + 24/11 + 14/11*x**c.
-2*(x - 3)*(x - 2)**2/11
Let k(f) = -3*f - 16. Let m be k(-6). Factor -3 - 14*j + j**m + 6*j + 6*j.
(j - 3)*(j + 1)
Find m such that 296/5*m + 2/5*m**4 + 6/5*m**3 - 108/5*m**2 - 48 = 0.
-10, 2, 3
Suppose 0 = -6*t + 846 - 834. Let n(l) be the second derivative of -5*l + 0 + 2*l**t - 1/3*l**3 - 1/6*l**4. Determine w so that n(w) = 0.
-2, 1
Let v = -54043/9 - -6005. Solve 0*i + i**3 + v*i**2 + 0 + 7/9*i**4 = 0 for i.
-1, -2/7, 0
Find m such that 4/5*m - 16/5*m**2 + 0 = 0.
0, 1/4
Let w(d) = -3*d**2 - 2*d**2 + 8*d**2 + 3*d**2. Let g be w(-1). What is o in -g*o + 2*o**2 + o**2 - 3*o**2 + 3*o**2 = 0?
0, 2
Let u be ((-6)/21)/((609/(-49) + 13)*-1). Factor 2 + u*c**2 + 2*c.
(c + 2)**2/2
Let c(y) = -2*y**4 - 98*y**3 - 1348*y**2 - 2398*y - 1148. Let b(n) = -4*n**4 - 195*n**3 - 2697*n**2 - 4795*n - 2294. Let i(q) = 2*b(q) - 5*c(q). Factor i(g).
2*(g + 1)**2*(g + 24)**2
Let n(f) = 2*f - 6. Let j be (-3)/12 + (-51)/(-12). Let i be n(j). Factor -3*k**2 - 33*k**i - 3 - 18*k**2 + 63*k**4 - 24*k + 18*k**4.
3*(k - 1)*(3*k + 1)**3
Let s = 12 + -8. Suppose -31 + 7 = -6*z. Determine m so that -3*m**4 + 6*m**3 + 7*m**4 - 15*m**s + 9*m**5 - z*m**4 = 0.
0, 2/3, 1
Let i = 2/77 + 221/385. Suppose -18*c = 4*a - 16*c - 16, 0 = -2*c + 8. Factor 2/5*x**3 + 1/5*x**5 + 1/5 + 2/5*x**a - i*x**4 - 3/5*x.
(x - 1)**4*(x + 1)/5
Let f(h) be the second derivative of 0 + 1/48*h**4 + 5/24*h**3 + 0*h**2 + 13*h. Let f(y) = 0. Calculate y.
-5, 0
Let r(n) = -5*n**4 + 7*n**3 + 8*n**2 - 4*n. Let q(l) = 9*l**4 - 14*l**3 - 16*l**2 + 7*l. Let t(j) = 4*q(j) + 7*r(j). Factor t(v).
v**2*(v - 8)*(v + 1)
Let h(u) be the second derivative of 0 + 2/21*u**7 - 6/5*u**5 - 2*u**3 + 0*u**2 + 0*u**6 + 8/3*u**4 + 2*u. Factor h(l).
4*l*(l - 1)**3*(l + 3)
Let q = -7/34 + -5/17. Let j = 5/6 + q. Factor 1/3*t + 0 + 1/3*t**2 - 1/3*t**3 - j*t**4.
-t*(t - 1)*(t + 1)**2/3
Let n(i) be the second derivative of -i**7/462 - i**6/66 + i**5/110 + 5*i**4/66 - i**3/66 - 5*i**2/22 + 18*i - 5. What is q in n(q) = 0?
-5, -1, 1
Let r(c) be the third derivative of -c**8/1176 + c**7/735 + 3*c**6/140 + 11*c**5/210 + c**4/21 - 60*c**2. Factor r(u).
-2*u*(u - 4)*(u + 1)**3/7
Suppose 4*l - 356 = -0*a - 4*a, -5*a + 435 = 3*l. Let y be (-24)/a - 40/(-42). Factor -2/9*f + 2/3*f**2 + 0 + 2/9*f**4 - y*f**3.
2*f*(f - 1)**3/9
Let r be (6/(-35))/(375/(-1750)). Factor 0*y + 2/5*y**4 - r*y**2 + 2/5 + 0*y**3.
2*(y - 1)**2*(y + 1)**2/5
Let s(r) = 3*r**3 - 9*r**2 + 15*r - 3. Let k(a) = -a**3 + a**2 - 2*a + 1. Let o(x) = -6*k(x) - s(x). Factor o(h).
3*(h - 1)*(h + 1)**2
Let l be (-10)/25 + (-124)/(-10). Factor -4*c**5 - 3*c**2 - 14*c**3 + 30*c**3 - 5*c**2 + 8 - l*c.
-4*(c - 1)**3*(c + 1)*(c + 2)
Let z be (-1 - -1)/((-5)/(-10)*-8). Let q(s) be the second derivative of 0 + z*s**2 + 1/2*s**3 + 5/4*s**4 - 2*s + 63/80*s**5. Factor q(r).
3*r*(3*r + 2)*(7*r + 2)/4
Let p(o) be the second derivative of -o**7/28 - 7*o**6/20 + 81*o**5/40 - 29*o**4/8 + 5*o**3/2 - 42*o. Factor p(u).
-3*u*(u - 1)**3*(u + 10)/2
Let q(i) be the first derivative of -i**3 + 21*i**2/2 + 54*i + 84. Suppose q(s) = 0. What is s?
-2, 9
Let g = -12 + 11. Let q be (1 - -1)*g + 5. Let 20 - 4*k**q - 20 - 8*k + 12*k**2 = 0. Calculate k.
0, 1, 2
Let l(n) be the third derivative of -3*n**8/392 - n**7/35 + n**6/21 + 8*n**5/21 + 16*n**4/21 + 16*n**3/21 - 29*n**2. Determine f, given that l(f) = 0.
-2, -1, -2/3, 2
Let y(m) be the third derivative of m**5/20 - 29*m**4/8 - 60*m**2. Factor y(a).
3*a*(a - 29)
Let a(p) be the second derivative of -289*p**6/210 + 51*p**5/70 - 3*p**4/28 + 2*p + 25. Determine l so that a(l) = 0.
0, 3/17
Suppose -3*q + 20 = 2*q. Suppose -2*n + q = -n. Factor -y**3 - 2*y**2 + 5*y**3 + y**2 - n*y + 1.
(y - 1)*(y + 1)*(4*y - 1)
Let u(a) = 7*a**2 + a - 9. Let v be u(-4). Let r = -96 + v. Factor -8/3*l**2 + 10/3*l - 4/3 + 2/3*l**r.
2*(l - 2)*(l - 1)**2/3
Suppose 0 = 138*l + 20*l - 416 - 58. Factor 24/7*y + 48/7*y**l - 15/7*y**4 - 3/7 - 54/7*y**2.
-3*(y - 1)**3*(5*y - 1)/7
Let y(r) = r**3 - 11*r**2 + 20*r + 5. Let x be y(9). Let f = x + -20. Factor 0 - 2/3*j**f + 2/3*j**2 + 2/3*j - 2/3*j**4.
-2*j*(j - 1)*(j + 1)**2/3
Let q = 58 + -84. Let c = q + 29. Factor -4/7*k**c + 0 + 2/7*k**4 + 0*k + 2/7*k**2.
2*k**2*(k - 1)**2/7
Let z = 68 - 65. Factor z*y**4 - 8*y**3 - 22*y**3 + 15*y**3 + 15*y + 9*y**2 - 12.
3*(y - 4)*(y - 1)**2*(y + 1)
Let a(j) be the second derivative of j**6/60 - j**5/15 + j**4/12 + 13*j**2/2 - 12*j. Let y(t) be the first derivative of a(t). Let y(u) = 0. Calculate u.
0, 1
Let m(a) be the second derivative of a**3 + a**2 + 1/10*a**5 + 45*a + 1/2*a**4 + 0. Determine i, given that m(i) = 0.
-1
Let h(x) be the first derivative of -x**5/25 + x**4/3 - 14*x**3/15 + 6*x**2/5 - 27*x + 14. Let u(c) be the first derivative of h(c). Find j such that u(j) = 0.
1, 3
Let f(a) be the third derivative of a**6/360 - a**5/40 + a**4/12 + 7*a**3/6 - 12*a**2. Let x(g) be the first derivative of f(g). Factor x(z).
(z - 2)*(z - 1)
Let g(w) be the first derivative of -w**6/2 + 87*w**5/5 - 405*w**4/2 + 700*w**3 + 1500*w**2 + 658. Factor g(z).
-3*z*(z - 10)**3*(z + 1)
Let j(y) = -y**3 + 15*y**2 - y + 16. Let t be j(15). Let b be (-3 - -7)/(2*t). What is i in 6*i**b + i - 2*i**3 - 3*i + 0*i**2 - 2*i = 0?
0, 1, 2
Let j(g) be the first derivative of -g**3/6 - 3*g**2 - 34. Factor j(m).
-m*(m + 12)/2
Suppose -5*j = -1 - 34. Let n = -4 + j. Factor 3*o + 8*o - 3*o + 8*o**2 + o**3 + o**n.
2*o*(o + 2)**2
Let s(g) be the third derivative of 0*g**4 - 1/150*g**6 - 1/175*g**7 + 0 + 0*g + 0*g**3 - g**2 + 1/150*g**5. Factor s(h).
-2*h**2*(h + 1)*(3*h - 1)/5
Let l be ((-28)/(-42))/(-4*(-3)/(-162)). Let v be (-57)/l - 6 - (2 + -2). Factor 1/3*q**3 + 0 - v*q**5 + 0*q**4 + 0*q + 0*q**2.
-q**3*(q - 1)*(q + 1)/3
Let x(o) be the second derivative of 2/15*o**3 + 11*o - 1/25*o**5 + 0*o**2 + 0 - 1/30*o**4 + 1/75*o**6. Factor x(a).
2*a*(a - 2)*(a - 1)*(a + 1)/5
Let q be (66/(-44))/(6/(-8)). Determine i, given that q*i**3 - 3*i**2 + 3*i**3 + 3*i**4 + i**5 + 0*i**3 - 4*i**3 - 2*i = 0.
-2, -1, 0, 1
Let j(f) be the second derivative of -f**6/50 - 3*f**5/100 + 7*f**4/20 + 13*f**3/10 + 9*f**2/5 + 12*f - 4. Suppose j(l) = 0. Calculate l.
-2, -1, 3
Let m(b) = b**3 - 13*b**2 + 10*b + 26. Let r be m(12). Factor -r*k**2 - k**2 - 12*k - 9 - 2*k**2 + 2*k**2.
-3*(k + 1)*(k + 3)
Solve 43/5*k**3 + 16/5 - 48/5*k**4 + 9/5*k**5 + 32/5*k**2 - 52/5*k = 0 for k.
-1, 2/3, 1, 4
Let t(p) be the first derivative of 8/33*p**3 - 24 + 0*p**2 + 2/11*p**4 + 2/55*p**5 + 0*p. Factor t(w).
2*w**2*(w + 2)**2/11
Let o be (-4 - -5)*(2 - -3). Find n such that -5*n**o - 45*n**3 + 10*n**3 - 13 - 7 - 5*n**2 + 40*n + 25*n**4 = 0.
-1, 1, 2
Let g(r) be the first derivative of 0*r + 8/5*r**5 - 24*r**2 + 49 - 128/3*r**3 + 2*r**6 - 21*r**4. Determine l so that g(l) = 0.
-2, -1, -2/3, 0, 3
Let x(q) be the third derivative of -q**7/70 - 17*q**6/40 - 31*q**5/20 - 15*q**4/8 - 22*q**2. Suppose x(b) = 0. What is b?
-15, -1, 0
Let a(k) be the second derivative of k**4/4 + 37*k**3/2 + 54*k**2 + 7*k + 10. Factor a(y).
3*(y + 1)*(y + 36)
Let x be (5 - 3)*(14 + -13). Let z(d) be the first derivative of -1/5*d**4 + 2/5*d**3 - 2/5*d**x + 1/5*d + 2 + 1/25*d**5. Solve z(b) = 0.
1
Let m = -10733 - -10736. Factor 0*c + 0*c**2 + 4/11*c**m - 2/11*c**4 + 0 - 2/11*c**5.
-2*c**3*(c - 1)*(c + 2)/11
Let t be 35/27 + (-318)/(-8586). Factor -1 - t*d - 1/3*d**2.
-(d + 1)*(d + 3)/3
Let o = -5201/150 - -524/15. Let l = o + 6/25. Suppose 1/2*g + l*g**2 - 1/2*g**3 - 1/2 = 0. What is g?
-1, 1
Let d be 2*-17*(10 + 92/(-8)). Suppose d - 21 = 10*l. Factor -3/7*f + 12/7*f**2 - 15/7*f**l + 0 + 6/7*f**4.
3*f*(f - 1)**2*(2*f - 1)/7
Let d be -2 - -11 - (-1260)/(-336). Let -3/2*j**4 + 9/2*j**2 - d*j + 3/2 + 3/4*j**3 = 0. What is j?
-2, 1/2, 1
Suppose 5*o - 6*b - 5 = -b, 2*b - 2 = 0. Factor 3 - 4 - 31*w + w**o + 31*