he second derivative of -k**5/90 + 11*k**4/54 - 10*k**3/27 + 5*k. Solve b(q) = 0.
0, 1, 10
Let n(y) be the first derivative of -y**4/10 + 4*y**3 - 29*y**2/5 - 160. Factor n(b).
-2*b*(b - 29)*(b - 1)/5
Let k(i) be the third derivative of -i**5/12 - 125*i**4/24 - 20*i**3 + 153*i**2. Factor k(z).
-5*(z + 1)*(z + 24)
Suppose -v = -10*v - 162. Let i be 13 + v - (-1 - (-1 - -5)). Factor 0 + i*m + 0*m**3 + 2/3*m**5 + 0*m**2 + 2/3*m**4.
2*m**4*(m + 1)/3
Let r = 36/17 - 6463/3060. Let x(q) be the third derivative of 11*q**2 - 1/72*q**4 + 0*q**3 + 0 + 0*q + r*q**5. Let x(k) = 0. What is k?
0, 1
Let s(k) = 243*k - 2. Let c be s(1). Let b = c + -1201/5. What is q in -8/5*q**2 + 8/5*q**4 - 4/5*q + 0 + b*q**5 + 0*q**3 = 0?
-1, 0, 1
Let m(h) = -9*h - 3. Let j be m(5). Let f be (-8)/(j/18)*(-4)/(-6). Factor 4/9*z**f - 4/9*z**3 + 0 - 4/9*z**4 + 4/9*z.
-4*z*(z - 1)*(z + 1)**2/9
Let s = -25 - -29. Factor 7*h**3 + 6*h**4 + 4*h**2 - 18*h**5 + 19*h**5 - s*h**3 + 6*h**3.
h**2*(h + 1)**2*(h + 4)
Let l = -3217/8 - -403. Let q(x) be the first derivative of -1/2*x**2 - l*x**4 + 0*x - 2 + 3/2*x**3. Let q(b) = 0. Calculate b.
0, 2/7, 1
Let u(g) = g**2 + g. Let l(v) = -15*v**3 + 236*v**2 - 998*v + 128. Let i(z) = l(z) + 6*u(z). Suppose i(c) = 0. What is c?
2/15, 8
Let x(c) be the second derivative of 1/12*c**4 - 5/6*c**3 + 16*c + 3*c**2 + 0. Factor x(a).
(a - 3)*(a - 2)
Let m(c) be the first derivative of -216*c**4 + 1584*c**3 - 4356*c**2 + 5324*c - 770. Factor m(k).
-4*(6*k - 11)**3
Suppose -o + 7*n - 2*n - 2 = 0, -4*o = -4*n - 56. Let j = o + -16. Factor 28*v**2 - 44*v + j*v**2 + 16 - 2*v**2.
4*(v - 1)*(7*v - 4)
Let n = 531 - 531. What is h in 4/3*h**2 + n + 8/3*h = 0?
-2, 0
Let x(w) be the first derivative of 2*w**6/15 - w**5/5 - 5*w**4/3 - 2*w**3 - 37*w + 13. Let f(j) be the first derivative of x(j). Determine z so that f(z) = 0.
-1, 0, 3
Let j(p) be the first derivative of 3*p**5/40 - 3*p**4/4 - 3*p**3/8 + 39*p**2/8 - 6*p + 139. Factor j(k).
3*(k - 8)*(k - 1)**2*(k + 2)/8
Factor -13*r - 60*r**2 + 18*r**2 - 2*r**4 - 24*r**3 + 115*r + 94*r.
-2*r*(r - 2)*(r + 7)**2
Determine h, given that 200/7*h**4 + 360/7*h**3 - 678/7*h**2 + 124/7*h - 6/7 = 0.
-3, 1/10, 1
Suppose 691*j**5 + 8*j - 341*j**5 - 346*j**5 - 12*j**3 - j**4 + 5*j**4 - 4*j**2 = 0. Calculate j.
-2, -1, 0, 1
Let r be -18 + 21 + 2/1. Let w(y) = -y**3 + 4*y**2 + 8*y - 11. Let z be w(r). Find l such that -7/2*l**2 - 2/3 + 49/6*l**3 - z*l = 0.
-2/7, 1
Let r(d) be the second derivative of -d**8/8960 + d**7/840 - d**6/240 + d**4/3 + 5*d. Let g(o) be the third derivative of r(o). Suppose g(b) = 0. Calculate b.
0, 2
Let z(v) be the third derivative of -v**5/180 - v**4/2 - 18*v**3 - 72*v**2. Factor z(f).
-(f + 18)**2/3
Determine j so that 4 - 6/5*j**2 + 58/5*j = 0.
-1/3, 10
Let z = 13 + -6. Let v(b) = -5*b**2 + 4*b - 11*b + 5 + 0. Let x(c) = 2*c**2 + 3*c - 2. Let f(a) = z*x(a) + 3*v(a). Factor f(k).
-(k - 1)*(k + 1)
Let m = 16 + -10. Factor 1 - m*h**2 + 11*h**2 - 15*h + 9.
5*(h - 2)*(h - 1)
What is k in 56/19*k**2 - 36/19 - 14/19*k - 20/19*k**4 + 2/19*k**5 + 12/19*k**3 = 0?
-1, 1, 2, 9
Let g(b) = 3*b**4 + 10*b**3 - 52*b**2 - 2*b. Let t(k) = 13*k**4 + 40*k**3 - 206*k**2 - 9*k. Let j(z) = 18*g(z) - 4*t(z). What is f in j(f) = 0?
-14, 0, 4
Let a(o) = 9*o - 69. Let c be a(8). Factor -12*i + i**3 + 110*i**2 - 122*i**2 - 4*i**c.
-3*i*(i + 2)**2
Let s = 7 + -5. Factor -18*d**2 + s*d**2 + d**2 + 5*d**5 - 19*d**4 + 35*d**3 - 6*d**4.
5*d**2*(d - 3)*(d - 1)**2
Let r(x) be the third derivative of 4/3*x**3 - 1/192*x**8 + 0 - 9/140*x**7 - 11/15*x**5 - 19/60*x**6 + 0*x + 8*x**2 - 1/2*x**4. Let r(n) = 0. Calculate n.
-2, 2/7
Let k(a) = 2*a**3 + 3*a**2 - 2*a + 3. Let f(z) = -2*z**3 - 4*z**2 + 2*z - 4. Let x(u) = -3*f(u) - 4*k(u). Factor x(i).
-2*i*(i - 1)*(i + 1)
Let u = -14 - -6. Let f = u - -10. Factor 4*q**4 - 2*q + 2*q**5 - 4*q**f + 4*q**3 - 2*q**3 - 2*q**3.
2*q*(q - 1)*(q + 1)**3
Suppose t + 17 = -2*p + 6*t, -4*t + 32 = 3*p. Let g(y) be the first derivative of 1 - 1/10*y**5 + 0*y**p + 0*y**2 - 1/36*y**6 + 2/9*y**3 + 0*y. Factor g(s).
-s**2*(s - 1)*(s + 2)**2/6
Let h be ((-2519)/(-110) + -26)/(2/(-12)*1). Solve 18/5 - 36/5*c**5 + 57/5*c**2 - h*c - 15*c**4 + 129/5*c**3 = 0.
-3, -1, 1/4, 2/3, 1
Let r(y) = -11*y**2 + y - 6. Let h(z) = -z**2 + 22*z - 1 + 22*z - 43*z. Let x(b) = 6*h(b) - r(b). Factor x(d).
5*d*(d + 1)
Solve 63*h + 633/5*h**2 + 9*h**4 - 54/5 + 309/5*h**3 = 0 for h.
-3, -1, 2/15
Let k = 279283/9 - 31027. Suppose -2/9*i**4 - 40*i - k*i**3 - 236/9*i**2 - 18 = 0. What is i?
-9, -1
Let s(p) = 5*p - 5. Let t be s(3). Let a(h) = h + 2. Let o be a(t). What is x in -o*x - 4*x**2 - x**3 + 24 + 3*x**2 - 5*x**2 + 4*x**3 = 0?
-2, 2
Let g be 3 - (4 + 9 + -1). Let m = g + 9. Factor 2/5*k**2 + m*k - 8/5.
2*(k - 2)*(k + 2)/5
Let q(d) be the third derivative of -d**5/90 + 29*d**4/18 - 841*d**3/9 + 417*d**2. Factor q(z).
-2*(z - 29)**2/3
Factor 875/2*v**3 + 580*v - 120 - 1775/2*v**2.
5*(5*v - 4)**2*(7*v - 3)/2
Let r(q) be the third derivative of -q**5/150 + q**4/15 + q**3/3 - 39*q**2. What is z in r(z) = 0?
-1, 5
Let m(i) be the third derivative of -i**8/120960 - i**7/3780 - 3*i**5/10 + 37*i**2. Let y(q) be the third derivative of m(q). Let y(n) = 0. Calculate n.
-8, 0
Factor 0*m + 0 + 20/7*m**3 + 4/7*m**4 + 0*m**2.
4*m**3*(m + 5)/7
Determine k so that -2*k**4 + 10*k**2 - 5*k**5 - 60*k + 2*k**4 + 33*k**3 + 2*k**3 - 40 = 0.
-2, -1, 2
Let d(b) = b**2 + 3*b - 6. Let q be (-63)/12 + (-2)/(-8). Let j be d(q). Factor 0*t**2 - 107*t**3 + 102*t**3 + 2*t**2 - 3*t**j.
-t**2*(t + 2)*(3*t - 1)
Suppose -3*j = -3*q - 3, 2*q - 8 = -8*j + 5*j. Factor 2/9*m**3 + 0*m + 2/3*m**j - 8/9.
2*(m - 1)*(m + 2)**2/9
Let x(k) be the first derivative of -k**7/105 - k**6/30 + k**5/30 + k**4/6 + 11*k**2 + 19. Let c(i) be the second derivative of x(i). Solve c(n) = 0 for n.
-2, -1, 0, 1
Let s = -24 + 21. Let m = s - -5. Determine p so that -m*p - 10*p**2 - 28 + 6*p**2 + 12 - 14*p = 0.
-2
Let h(k) be the third derivative of 1/75*k**5 + 0*k**4 - 1/525*k**7 + 0*k + 0*k**6 - 1/15*k**3 + 0 + 11*k**2. What is a in h(a) = 0?
-1, 1
Let a(z) = -8*z + 3*z + 3*z**2 - 1 - 2*z**2. Let q be a(6). Let 11*t**3 + 12*t - q*t**3 - 15*t - 3*t**5 = 0. Calculate t.
-1, 0, 1
Factor -3*p**3 + 5*p**3 + 30*p**2 - 40*p**2 + 2*p**4 + 6*p**2.
2*p**2*(p - 1)*(p + 2)
Suppose 2*q - i - 9 = 0, 0 = -q - q - i - 1. Factor -34/19*y**q + 8/19*y**3 + 0 + 8/19*y.
2*y*(y - 4)*(4*y - 1)/19
Let n(i) be the second derivative of i**5/40 - i**4/8 + i - 3. Factor n(r).
r**2*(r - 3)/2
Suppose 26*l**3 - 24*l**3 - 41*l**3 + 75*l**2 - 33*l - 3 = 0. Calculate l.
-1/13, 1
Let m(d) = 29*d**2 - 4*d + 2. Let i be m(-2). Let z be ((-126)/24)/7 + i/40. Factor 4/5*k**2 + 8/5 - z*k.
4*(k - 2)*(k - 1)/5
Let s(o) be the second derivative of -o**6/320 + o**5/160 + o**4/16 - o**3/4 + 5*o**2 - 18*o. Let l(z) be the first derivative of s(z). Factor l(r).
-3*(r - 2)*(r - 1)*(r + 2)/8
Suppose v - 3*v = 36. Let p be 4/(-12) - (10/v + 0). Solve 2/9 + 2/9*l**3 - 2/9*l - p*l**2 = 0.
-1, 1
Factor -5*o**2 - 13 + 3 - 11 + 1 - 25*o.
-5*(o + 1)*(o + 4)
Solve 19/4*y**2 + 7*y + 3 - 1/4*y**4 + 1/2*y**3 = 0 for y.
-2, -1, 6
Let z = -22 - -16. Let y(a) = -2*a**5 + 6*a**4 + 10*a**3 - 6*a**2 - 2*a. Let o(c) = c**4 + c**3 - c**2. Let b(i) = z*o(i) + y(i). Factor b(k).
-2*k*(k - 1)**2*(k + 1)**2
Suppose -4 + 36 = 8*y. Suppose -6*d = -4*d - y. What is x in 2/7*x**3 + 0 + 2/7*x - 4/7*x**d = 0?
0, 1
Let r be 96*2/(8/3). Let f = r - 496/7. Factor 38/7*s**2 - 4*s + f*s**4 - 25/7*s**3 - 1/7*s**5 + 8/7.
-(s - 2)**3*(s - 1)**2/7
Let o = -8513 - -25541/3. Suppose 14/3 - 4*x - o*x**2 = 0. What is x?
-7, 1
Find a, given that 9/4 - 2*a - 17/4*a**2 = 0.
-1, 9/17
Let n be 1/4 + (348/(-96))/29. Let 0*a + 0*a**2 + 0 - n*a**4 + 3/8*a**3 = 0. Calculate a.
0, 3
Let s(r) be the first derivative of r**8/224 + 2*r**7/105 + r**6/40 - r**4/48 + 6*r**2 + 8. Let j(y) be the second derivative of s(y). Factor j(k).
k*(k + 1)**3*(3*k - 1)/2
Suppose 2*m = -0*m + 4. Suppose 0 = n - 3*w + 6, -5*w + 9 = -m*w. Factor -n*o**2 + 2*o**2 + o - 6*o + 2*o.
-o*(o + 3)
Let x(u) be the third derivative of u**8/1176 - u**7/147 + u**6/105 - 373*u**2. Factor x(v).
2*v**3*(v - 4)*(v - 1)/7
Let z(t) be the first derivative of -2*t**3/21 + 5*t**2/7 - 279. Let z(u) = 0. Calculate u.
0, 5
Let l(i) be t