ative of -2*x**6 - 4*x**5/5 + 47*x**4 - 4*x**3 - 360*x**2 + 432*x + 439. Suppose u(l) = 0. Calculate l.
-3, 2/3, 2, 3
Let s(b) be the second derivative of 3*b**4/20 + 29*b**3/30 + 3*b**2/5 + 95*b. Factor s(v).
(v + 3)*(9*v + 2)/5
Suppose -4029 = -2*g + 4791. Factor 4399*d**3 - 10*d - g*d**3 - 6*d - 11*d**2 + 42*d**2 - 4.
-(d - 2)*(d - 1)*(11*d + 2)
Factor 95*i**2 + 53 - 309*i**2 - 271 + 2*i**3 - 434*i.
2*(i - 109)*(i + 1)**2
Let a = -2 - -3. Suppose -2 = -c + a. Factor 4*j**2 + 5*j**3 - 4*j**3 + j**c.
2*j**2*(j + 2)
Let u = 2 + -4. Let a be (40/(-4))/(4/u). Let -a*j**3 - 4*j**3 + 0*j**4 + 9*j**2 - 3*j + 3*j**4 = 0. What is j?
0, 1
Let h(v) be the first derivative of 2*v**5/15 + 5*v**4/6 + 16*v**3/9 + 4*v**2/3 + 490. Factor h(o).
2*o*(o + 1)*(o + 2)**2/3
Let t = -43 - -67. Suppose -3*b = 2*a + 2*a - t, 5 = 2*b - a. Factor 6*o**3 - 20*o**b - 2*o**3 - o**5 + 13*o**5 + 4*o**3.
4*o**3*(o - 1)*(3*o - 2)
Let w(m) be the second derivative of -3/4*m**2 - 5/16*m**3 - 3*m + 0 - 1/32*m**4. Factor w(c).
-3*(c + 1)*(c + 4)/8
Let o = 4987/3 - 1662. Determine n, given that -1/3*n**2 - o + 2/3*n = 0.
1
Let o = -62 - -66. Let y be o - ((-244)/(-36) + -3). Let 10/9*n**3 - 16/9*n**2 + y*n + 4/9 = 0. What is n?
-2/5, 1
Let m(s) be the second derivative of s**9/10584 - s**8/5880 + s**3 + 15*s. Let t(d) be the second derivative of m(d). Factor t(z).
2*z**4*(z - 1)/7
What is i in 92/3*i + 1/3*i**2 + 91/3 = 0?
-91, -1
Let v(k) be the second derivative of 0*k**2 - 13*k + 5/8*k**3 + 5/12*k**4 + 1/16*k**5 + 0. Factor v(h).
5*h*(h + 1)*(h + 3)/4
Let w(d) be the second derivative of -1/45*d**5 + 0*d**3 + 25*d + 1/54*d**4 + 1/135*d**6 + 0*d**2 + 0. Factor w(t).
2*t**2*(t - 1)**2/9
Suppose -12*a + 697 - 625 = 0. Let y(c) be the second derivative of 1/45*c**5 + 4*c + 0*c**2 + 0 - 1/135*c**a + 0*c**4 + 0*c**3. Factor y(z).
-2*z**3*(z - 2)/9
Suppose -d - 2*k + 7 = -6*k, -3*d - k = -8. Find w such that d*w**2 + 3*w**2 - 8*w - 10 - 2*w**2 - 2*w**2 = 0.
-1, 5
Let y = -5 + 13/2. Let g = y - 7/6. Factor 2/3*u**3 - 1/3*u**4 + 2/3*u**2 - 1/3*u**5 - 1/3 - g*u.
-(u - 1)**2*(u + 1)**3/3
Let c = -65 - -257. Let j = 963/5 - c. Find n such that -j*n**2 + 1/5*n**3 + 0*n + 4/5 = 0.
-1, 2
Let r = -649 + 651. Let z(x) be the third derivative of 5*x**r + 0 + 0*x**3 + 1/240*x**6 + 1/60*x**5 + 1/48*x**4 + 0*x. Factor z(f).
f*(f + 1)**2/2
Let g(v) be the first derivative of -v**4/24 - v**3/2 - 12. Let g(u) = 0. What is u?
-9, 0
Let h(m) = -m**4 - 2*m**3. Let b(v) = -5*v**4 - 17*v**3 - 15*v**2 - 7*v. Let z(x) = -b(x) + 4*h(x). Factor z(r).
r*(r + 1)**2*(r + 7)
Let j(q) be the first derivative of -q**4/2 - 106*q**3/3 + 250. Factor j(a).
-2*a**2*(a + 53)
Let t(k) = -2*k**2 - 46*k - 201. Let p be t(-17). Find f such that -3/2*f - 3/2*f**2 + 0 + 3/2*f**p + 3/2*f**4 = 0.
-1, 0, 1
Let r(y) be the third derivative of y**6/40 - 9*y**5/20 + 15*y**4/8 + 25*y**3/2 - 152*y**2. Factor r(g).
3*(g - 5)**2*(g + 1)
Factor 10*z**2 + 4*z**3 + 3*z**5 + z**3 - z**2 - 9*z**4 - 8*z**3.
3*z**2*(z - 3)*(z - 1)*(z + 1)
Let h(n) be the first derivative of 5*n**4/6 - 15*n**3/2 - 25*n**2/2 - 13*n - 16. Let x(m) be the first derivative of h(m). Let x(l) = 0. What is l?
-1/2, 5
Let x(y) be the second derivative of -y**8/26880 - y**7/3360 - y**6/1440 - y**4/3 - 5*y. Let z(d) be the third derivative of x(d). Let z(u) = 0. Calculate u.
-2, -1, 0
Suppose -30 + 20*i**4 + 14*i**2 - 26*i**2 + 38*i**3 - 5*i**2 - 80*i + 6 - 21*i**2 = 0. What is i?
-2, -1, -2/5, 3/2
Factor -2/3*p**2 + 128/3*p - 2048/3.
-2*(p - 32)**2/3
Let q(l) be the third derivative of -13*l**6/1260 - 11*l**5/420 + l**4/42 + 5*l**3/2 + 35*l**2. Let v(b) be the first derivative of q(b). Factor v(m).
-2*(m + 1)*(13*m - 2)/7
Let z(q) be the first derivative of -q**4 + 3*q**3 - q**2 + 60. Factor z(j).
-j*(j - 2)*(4*j - 1)
Suppose m - 5*u = -2*m, 0 = -3*m - 3*u. What is n in -13*n**4 + 5*n**4 + 4*n**5 + m*n**5 = 0?
0, 2
Let o(a) = -a**3 - 12*a**2 - 24*a - 42. Let l be o(-10). Let y be 28/35*((-36)/(-8) + l). Find v, given that 72*v - 27/2 - 144*v**y - 128/3*v**4 + 128*v**3 = 0.
3/4
Suppose -z - 4*l + 24 = 0, -4*l - 6 = -2. Factor 15*k + 5*k - 16 + 32*k + z*k - 92*k**2 + 28*k**3.
4*(k - 2)*(k - 1)*(7*k - 2)
Suppose -2*u = -2*a - 2, -4*u + u + 3 = -a. Solve 0*y + 0*y**3 - 5/3*y**4 + 5/3*y**2 + a = 0.
-1, 0, 1
Let t be (-20)/100 + (-2)/(-10). Let z be 128/48 - (-2)/(-3). Factor t + 1/2*u**z + 1/2*u**3 + 0*u.
u**2*(u + 1)/2
Let d be ((-966)/95)/(-6) - (-2)/19. What is g in -7/5*g**2 + 0 + d*g**3 + 2/5*g - g**4 + 1/5*g**5 = 0?
0, 1, 2
Let c be (20 - 14)*(-5)/(-4)*(-26)/(-65). Factor -18/5 + 3/5*h**2 - c*h.
3*(h - 6)*(h + 1)/5
Suppose 5*h - 5*p - 20 = 0, 4*h + 4*p - 13 = 5*p. Suppose h*l - 16 = -4*d, 2*d + 5*l - 2 = 6. Factor 5*c**3 - 2*c**d - 11*c**3 + 4*c**3.
-2*c**3*(c + 1)
Let z(w) be the first derivative of -27/10*w**4 - 14 - 21/25*w**5 - 1/10*w**6 - 4*w**3 + 0*w - 12/5*w**2. Suppose z(p) = 0. What is p?
-2, -1, 0
Let m(w) = w - 17. Let l be m(17). Let a(t) be the second derivative of 0*t**2 + 10*t + 0 + 1/6*t**4 + l*t**3. Determine d, given that a(d) = 0.
0
Let h(i) be the first derivative of -i**6/70 + 2*i**5/105 + i**4/14 - 4*i**3/21 - 15*i**2/2 + 2. Let p(o) be the second derivative of h(o). Factor p(z).
-4*(z - 1)*(z + 1)*(3*z - 2)/7
Suppose 0 = -2*g + 2*b + 8, 6*g = g + 3*b + 16. Factor -3*n + 9/2*n**g - 3/2.
3*(n - 1)*(3*n + 1)/2
Let z = 1953/4 - 353485/724. Let v = z + 356/543. Let -2/3 - 4/3*i - v*i**2 = 0. What is i?
-1
Let h(b) = -5*b**2 - 36*b - 4. Let k be h(-7). Suppose 0 = -5*l + 4 + 16. Factor -1/4*v**5 + 1/4*v**l + 0 + 0*v**k + 0*v + 0*v**2.
-v**4*(v - 1)/4
Let p = 409 + -206. Let u = -1415/7 + p. Find l, given that 3/7*l**3 + u*l**2 - 3/7*l - 6/7 = 0.
-2, -1, 1
Let y(i) be the first derivative of i**3/5 - 9*i**2/5 + 3*i - 152. Find k, given that y(k) = 0.
1, 5
Let r(s) be the third derivative of 0 - 4*s**2 + 0*s + 1/60*s**5 + 0*s**3 - 1/8*s**4. Factor r(z).
z*(z - 3)
Let r be -4 + 7 + 2 + 31. Let c be ((-1)/(12/(-8)))/(16/r). Let -15/2*f**2 + c*f**4 - 3/2*f**3 - 9/2*f + 0 = 0. What is f?
-1, 0, 3
Suppose 2*g + 4 = 0, 8*b - 9*b - 3*g - 1 = 0. Let q(d) be the second derivative of 0 - 1/6*d**3 + 1/12*d**4 + d + 1/20*d**b - 1/2*d**2. What is s in q(s) = 0?
-1, 1
Let t be ((-9)/81)/(42/(-27)). Let k(o) be the first derivative of 2/7*o + 2/7*o**3 + 3/7*o**2 + t*o**4 + 5. Solve k(l) = 0.
-1
Let u(t) be the second derivative of t**6/1260 - t**5/140 + t**4/42 - 13*t**3/6 + 13*t. Let g(s) be the second derivative of u(s). Factor g(l).
2*(l - 2)*(l - 1)/7
Let s(k) be the first derivative of k**4/48 - 79*k**3/36 + 155*k**2/24 - 77*k/12 + 409. Factor s(u).
(u - 77)*(u - 1)**2/12
Suppose 0 = 2*s - s. Let y = 29/34 + -6/17. Determine h so that -1/4*h + s*h**4 + 0 + y*h**3 + 0*h**2 - 1/4*h**5 = 0.
-1, 0, 1
Let u(c) = -2*c**2 + 61*c + 618. Let r be u(-8). Solve 2/7*j**5 + 6/7 + 4/7*j**2 + 12/7*j**3 - 10/7*j**4 - r*j = 0 for j.
-1, 1, 3
Let r = -3515 + 17576/5. Let j be (-6)/(-15)*(-22)/(-4). Find a, given that 4/5 - 3/5*a**4 + j*a**2 + 12/5*a + r*a**3 - 1/5*a**5 = 0.
-2, -1, 2
Let b(x) be the first derivative of -5*x**3/6 - 130*x**2 - 6760*x - 47. Factor b(k).
-5*(k + 52)**2/2
Let b = -197 + 197. Let g(n) be the third derivative of -n**2 + 2/3*n**3 + 1/30*n**5 - 1/4*n**4 + 0*n + b. Find u, given that g(u) = 0.
1, 2
Let -16/9*s**2 - 2/9*s**3 + 0 - 32/9*s = 0. Calculate s.
-4, 0
Let g be (-2 + 4)*3/30. Let a be 16 + -15 - (-4)/(-10). Solve 0 - 4/5*d**2 - g*d**3 - a*d = 0.
-3, -1, 0
Let m(l) be the third derivative of -l**5/390 + 5*l**4/156 - 2*l**3/13 - 140*l**2. Factor m(o).
-2*(o - 3)*(o - 2)/13
Let a = 80 + -52. Factor 52*i - 26*i - a*i + 2*i**2.
2*i*(i - 1)
Let a(n) be the second derivative of -n**7/273 - 2*n**6/65 - n**5/65 + 6*n**4/13 + 9*n**3/13 - 54*n**2/13 + 48*n. Solve a(o) = 0.
-3, 1, 2
Let d(b) = -1. Let r(z) = 10 + 2*z**2 - 5*z**3 - 3*z**4 + 3*z**3 + 6*z**3 + 5*z**4. Let s(l) = -10*d(l) - r(l). Suppose s(a) = 0. Calculate a.
-1, 0
Let c = -49 + 49. Let d(j) be the third derivative of 0 - 2/9*j**3 + c*j + 1/12*j**4 - 1/90*j**5 + 2*j**2. Factor d(i).
-2*(i - 2)*(i - 1)/3
Let v(k) be the second derivative of k**6/15 + k**5/2 - k**4/6 - 17*k**3/3 + 12*k**2 + 85*k + 1. Factor v(g).
2*(g - 1)**2*(g + 3)*(g + 4)
Suppose 40 = 8*u + 8. Let c be (u/(-5))/((378/15)/(-7))