ose 22 = -5*x + 32. Let i(j) be the second derivative of 1/12*j**4 + 0*j**x + 0 - 1/20*j**5 + 2*j + 0*j**3. Factor i(p).
-p**2*(p - 1)
Let s(m) be the third derivative of m**8/1008 - m**7/315 + m**5/90 - m**4/72 + 14*m**2. Suppose s(v) = 0. What is v?
-1, 0, 1
Let w(a) be the third derivative of 3*a**6/40 - 3*a**5/20 + a**4/8 - a**3/18 - 10*a**2. Factor w(v).
(3*v - 1)**3/3
Let o be (1/9)/((-14)/(-14)). Let b(a) be the second derivative of 1/10*a**5 + 5/18*a**4 + o*a**3 + 0 - a - 1/3*a**2. Factor b(u).
2*(u + 1)**2*(3*u - 1)/3
Let d = -12 + 8. Let v be d/(-10)*(0 + 5). Find q such that -2*q**5 - 5*q**2 + 4*q**3 + q**2 - 2*q + q**4 + v + q**4 = 0.
-1, 1
Let y(c) be the third derivative of 0*c**3 + 0 - 1/4*c**4 + 0*c - 1/4*c**5 - 1/70*c**7 - 1/10*c**6 - 7*c**2. Factor y(a).
-3*a*(a + 1)**2*(a + 2)
Let b(y) be the third derivative of y**7/840 + y**6/240 - y**5/20 + y**4/12 + y**2. Let d(w) be the second derivative of b(w). Suppose d(u) = 0. Calculate u.
-2, 1
Let g be ((-2)/4)/(3/(-18)). Factor 4*l + 0*l + g*l**2 - l**2.
2*l*(l + 2)
Let b = 27 + -18. Factor 0*k**2 - 7*k**4 + 2 + b*k - k**2 - 9*k**3 + 6*k**2.
-(k - 1)*(k + 1)**2*(7*k + 2)
Let f be (-21)/(-60)*(-30)/(-35). Let c(x) be the second derivative of 1/10*x**6 + 0*x**2 + 0 - x + 1/4*x**4 - f*x**5 + 0*x**3. Determine y so that c(y) = 0.
0, 1
Let u = 13/61 + -953/1037. Let v = u + 53/51. Factor -v*f**4 - 4/3*f + 2/3*f**3 + f**2 - 4/3.
-(f - 2)**2*(f + 1)**2/3
Determine p, given that 32/7 + 18/7*p**2 - 48/7*p - 2/7*p**3 = 0.
1, 4
Let w be 4/22 + 399/165 + -2. Let l = 3 + -1. Factor -w*f - 1/5*f**l - 2/5.
-(f + 1)*(f + 2)/5
Let l = -1/3 + 4/9. Let c(v) be the first derivative of -l*v**3 + 2 - 4/3*v - 2/3*v**2. Factor c(n).
-(n + 2)**2/3
Suppose y = -3*y + 4, -5*y + 5 = -x. Factor 5*b - 2*b + x*b + 6 + 5*b**2 - 8*b**2.
-3*(b - 2)*(b + 1)
Let o(s) = -4*s**4 + 6*s**3 + 6*s**2 + 4*s - 6. Let y(a) = -4*a**4 + 6*a**3 + 5*a**2 + 3*a - 5. Let f(i) = 5*o(i) - 6*y(i). Let f(g) = 0. What is g?
-1/2, 0, 1
Let i(h) = -h - 1. Let t be i(-5). Suppose -n - t = -2*n. Factor -2*z**4 - 2 - 2*z + 5*z**2 + 0*z - z**2 + n*z**3 - 2*z**5.
-2*(z - 1)**2*(z + 1)**3
Let d = 25 - 18. Factor 2*k**2 - 2*k**3 - 2*k - d*k**2 + 9*k**2.
-2*k*(k - 1)**2
Let j(b) = -2*b**4 + 8*b**3 - 9*b**2 - 10*b - 11. Let d(k) = 9*k**4 - 39*k**3 + 45*k**2 + 51*k + 54. Let m(v) = 5*d(v) + 24*j(v). Factor m(q).
-3*(q - 2)*(q + 1)**3
Suppose -3*r + 4 = -2*d, 0 = -r + 3*d - 1 - 0. Let s be (2 - r)/(-3) + 2. Factor s*z + 0*z**2 + z**2 - 1 + 0 - 2*z**2.
-(z - 1)**2
Let x = -106 + 62. Let j be x/14 - (-68)/17. Factor 16/7*l**2 + 4/7 + j*l**3 + 2*l.
2*(l + 1)**2*(3*l + 2)/7
Let w(r) = -10*r**2 - 14*r - 7. Let h(x) = 20*x**2 + 28*x + 13. Let p(k) = 3*h(k) + 5*w(k). Determine n, given that p(n) = 0.
-1, -2/5
Let n(l) be the first derivative of -l**8/672 - l**7/420 - 2*l**2 + 2. Let j(q) be the second derivative of n(q). Factor j(b).
-b**4*(b + 1)/2
Let r(o) = -12*o**3 + 3*o**2 + 5*o - 5. Let a(n) = -6*n**3 + n**2 + 3*n - 3. Suppose -10 = -l - l. Let z(k) = l*a(k) - 3*r(k). Factor z(g).
2*g**2*(3*g - 2)
Let a(i) be the second derivative of i**5/300 - i**4/60 + i**3/30 - 3*i**2/2 + i. Let y(g) be the first derivative of a(g). Solve y(w) = 0.
1
Let k(b) = -2*b - 37. Let s be k(-20). Let u(j) = j - 2. Let g be u(6). Determine a so that 0*a + 3/2*a**s + 3*a**5 + 21/4*a**g - 3/4*a**2 + 0 = 0.
-1, 0, 1/4
Let z(u) = u - 4. Let m be z(4). Suppose m = 9*a - 6*a. What is j in -2/7*j**2 - 2/7*j**4 + a + 4/7*j**3 + 0*j = 0?
0, 1
Suppose 4*o - 20 = -0*o. Factor -z**o - 2*z**4 + z**3 - z**4 - 2*z**2 + 4*z**4 + z**2.
-z**2*(z - 1)**2*(z + 1)
Let z be (2/33)/(6/(-9)). Let w = z + 35/22. Factor -11/2*y**2 + 2 - 4*y - w*y**3.
-(y + 2)**2*(3*y - 1)/2
Suppose -4*u - u + 14 = 4*c, -2*u + 4*c = 0. Factor 4/5*k**u - 4/5*k**5 + 0 - 12/5*k**3 + 0*k + 12/5*k**4.
-4*k**2*(k - 1)**3/5
Let f(b) be the third derivative of b**8/840 + b**7/105 + 7*b**6/300 + b**5/50 + b**2. Solve f(h) = 0 for h.
-3, -1, 0
Let g(h) be the second derivative of h**6/10 + 9*h**5/20 + 3*h**4/4 + h**3/2 + 11*h. Suppose g(v) = 0. Calculate v.
-1, 0
Let p be ((4/32)/1)/((-2)/(-12)). Solve 3/4*a**4 - p*a**3 - 1/4*a**5 + 0 + 1/4*a**2 + 0*a = 0 for a.
0, 1
Suppose -2/5*l**2 + 4 + 18/5*l = 0. What is l?
-1, 10
Let o(p) be the first derivative of 1/2*p**2 - 2/3*p**3 + 1 + p. Solve o(z) = 0 for z.
-1/2, 1
Suppose 0 = -6*z + 11*z - 40. Let j = z - 23/3. Let j*u**4 + 0*u - 1/3*u**2 + 0 - 1/3*u**5 + 1/3*u**3 = 0. Calculate u.
-1, 0, 1
Let c(z) be the second derivative of z**7/14 + 3*z**6/10 + 3*z**5/10 - z**4/2 - 3*z**3/2 - 3*z**2/2 + 3*z. Factor c(k).
3*(k - 1)*(k + 1)**4
Let a = -2/45 - -17/45. Let f = 198 - 193. Factor a*k**f + 1/3*k**4 + 0*k**3 + 0*k + 0 + 0*k**2.
k**4*(k + 1)/3
Let n(k) be the second derivative of -k**4/66 - k**3/33 + 2*k**2/11 + 40*k. Factor n(t).
-2*(t - 1)*(t + 2)/11
Let p = -140 - -140. Factor 0 + 4/5*x + 6/5*x**2 - 2/5*x**4 + p*x**3.
-2*x*(x - 2)*(x + 1)**2/5
Let r(n) be the second derivative of -n**7/105 - 26*n**6/75 - 241*n**5/50 - 92*n**4/3 - 1216*n**3/15 - 512*n**2/5 + 35*n. Factor r(l).
-2*(l + 1)**2*(l + 8)**3/5
Let h be -1 - (-1 + 5/(-10)). Factor 1/2*o**4 + 1/2*o**3 - 1/2*o - h*o**2 + 0.
o*(o - 1)*(o + 1)**2/2
Let s(x) = 6*x**4 - 3*x**2 - 3*x + 5. Let w(l) = -5*l**4 + 3*l**2 + 2*l - 4. Let c(b) = -4*s(b) - 5*w(b). Find g such that c(g) = 0.
-2, 0, 1
Suppose -42 = 5*j - 17, 3*x + j = 1. Factor 1/2*u**3 - 1/2*u**x + 1/2*u**4 - 1/2*u + 0.
u*(u - 1)*(u + 1)**2/2
What is m in -18/7*m**3 - 10/7*m - 32/7*m**2 + 4/7 = 0?
-1, 2/9
Let t = 267/380 - 21/38. Let c(v) be the third derivative of -t*v**5 - 3/8*v**4 - 1/2*v**3 - 1/40*v**6 + 3*v**2 + 0 + 0*v. Solve c(o) = 0 for o.
-1
Suppose 0 = -2*x + 6*x + 4*a - 8, 20 = -5*x + 5*a. Let y be x + -1 + 1 + 1. Let -u**2 + y*u**2 + 0*u**2 = 0. What is u?
0
Let c(z) = z - 4. Let m be c(7). Let g = 0 + 0. Let -l**2 + g*l**2 + 4*l + l**3 + m*l**2 - 3*l**3 = 0. What is l?
-1, 0, 2
Let p(g) = g**4 - g**3 - g**2 + g - 1. Let j(r) = 144*r**4 - 440*r**3 + 308*r**2 + 20*r - 36. Let t(q) = j(q) - 4*p(q). Find l, given that t(l) = 0.
-2/7, 2/5, 1, 2
Let t(g) be the first derivative of -g**4/32 - g**3/8 + g**2/16 + 3*g/8 - 7. Factor t(p).
-(p - 1)*(p + 1)*(p + 3)/8
Let h(a) = 2*a**3 + a. Let n be h(0). Let t(y) be the second derivative of -2*y + n*y**2 + 1/30*y**4 + 0 + 0*y**3 + 1/50*y**5. Factor t(z).
2*z**2*(z + 1)/5
Let x(h) be the third derivative of -8/7*h**7 - 3*h**2 - 4/3*h**4 - 25/168*h**8 - 46/15*h**6 + 0*h + 0 + 0*h**3 - 16/5*h**5. Factor x(a).
-2*a*(a + 2)**2*(5*a + 2)**2
Let y(q) be the second derivative of q**4/12 - 4*q**3/3 + 5*q**2 + 2*q. Let h be y(7). Find s such that 5 + 2*s**5 + 6*s - 4*s**2 - 8*s**h + 0*s**2 - 1 = 0.
-1, 1, 2
Let l(g) = g**3 + 2*g**2 - g. Let a be l(-3). Let f be 4 + (4 - 0) + a. Suppose 0 + 1/2*b**f - b = 0. What is b?
0, 2
Let r(k) be the third derivative of k**6/240 - k**5/60 + 13*k**2. Factor r(p).
p**2*(p - 2)/2
Let v(h) be the first derivative of 2*h**6/3 + 8*h**5/5 - h**4 - 8*h**3/3 - 6. Suppose v(p) = 0. Calculate p.
-2, -1, 0, 1
Let j(s) = -s**4 + s**3 - 3*s**2 + 3. Let x(i) = 8*i**4 - 10*i**3 + 26*i**2 - 26. Let r(u) = 52*j(u) + 6*x(u). Solve r(p) = 0.
-2, 0
Let t(s) be the first derivative of -15*s**6/2 + 33*s**5/4 + 95*s**4/8 - 45*s**3/4 - 15*s**2/2 + 5*s + 24. Determine p so that t(p) = 0.
-2/3, 1/4, 1
Let l(n) be the first derivative of 3*n**4/16 + n**3/2 - 3*n**2/8 - 3*n/2 + 61. Find k such that l(k) = 0.
-2, -1, 1
Suppose -5*m = -2*g - 14, -3*g + 6*g + 7 = 4*m. Suppose -2*v = -5 - 5. Factor v*d**3 + g*d - 2 - 5*d**3 - d**3.
-(d - 1)**2*(d + 2)
Let y = 1 + -6. Let b = 7 + y. Determine u so that 4*u - 6*u - 2 + 2*u**b + 3*u**3 - u**3 = 0.
-1, 1
Let g(q) be the third derivative of -q**5/120 + q**4/24 - 12*q**2. Factor g(d).
-d*(d - 2)/2
Solve -1/5*k**3 - 4/5*k**2 - 4/5*k + 0 = 0 for k.
-2, 0
Factor 200/3*n**4 + 0 - 2/3*n + 28/3*n**2 - 130/3*n**3.
2*n*(4*n - 1)*(5*n - 1)**2/3
Let c = -35 - -35. Suppose c*o = -2*o. Find l such that -1/6*l + o + 1/6*l**2 = 0.
0, 1
Let d(p) be the third derivative of -p**8/26880 + p**5/30 + p**2. Let k(y) be the third derivative of d(y). Factor k(z).
-3*z**2/4
Let p(x) = 7*x**2 - 72*x + 245. Let g(y) = 155*y**2 - 1585*y + 5390. Let w(f) = 2*g(f) - 45*p(f). Suppose w(j) = 0. What is j