(-5). Let v be (1/2)/(-3*1/(-4)). Determine i, given that l - v*i**2 - 2/3*i = 0.
-1, 0
Let b(q) = -q**4 + 3*q**3 - q**2 - q + 1. Let v(i) = 2*i**4 - 88*i**3 - 92*i**2 - 26*i - 6. Let o(p) = 6*b(p) + v(p). Solve o(w) = 0.
-16, -1, -1/2, 0
Let l(r) be the third derivative of -r**6/210 + 2*r**5/105 + r**4/42 - 4*r**3/21 + 130*r**2. Determine o, given that l(o) = 0.
-1, 1, 2
Let w(o) = -15*o**3 + 881*o**2 - 12905*o + 4205. Let d(p) = -15*p**3 + 880*p**2 - 12905*p + 4205. Let y(t) = 6*d(t) - 5*w(t). Factor y(a).
-5*(a - 29)**2*(3*a - 1)
Let f = -7192/7 - -1028. Let t be -1*(1 + 18/(-14)). Suppose f*p + 0 - t*p**2 = 0. Calculate p.
0, 2
Let h = -403 + 407. Let v(t) be the third derivative of 0 - 1/12*t**h + 0*t - 1/10*t**5 + 0*t**3 + 4*t**2 - 1/105*t**7 - 1/20*t**6. Factor v(k).
-2*k*(k + 1)**3
Let v = 6832 - 20446/3. What is d in -v*d**3 - 5/3 - 25/3*d - 50/3*d**2 - 25/3*d**4 - 5/3*d**5 = 0?
-1
Let j(t) be the second derivative of -5*t**4/36 - 20*t**3/9 - 40*t**2/3 + 14*t + 9. Solve j(u) = 0.
-4
Let a(f) be the third derivative of f**6/24 + f**5/12 - 5*f**4/6 - 10*f**3/3 + 60*f**2. Suppose a(i) = 0. Calculate i.
-2, -1, 2
Let u(r) = r**5 + r**3 + r**2 + r - 1. Let l(y) = -3*y**5 + 29*y**4 - 153*y**3 + 309*y**2 - 282*y + 94. Let w(i) = 5*l(i) + 10*u(i). Solve w(n) = 0 for n.
1, 2, 23
Suppose 4*z + x - 8 = 4*x, -2*x = 0. Factor 14*w**z + 14*w**2 - 25*w**5 + 136*w**3 + 217*w**4 - 62*w**4.
-w**2*(w - 7)*(5*w + 2)**2
Let a be ((-7)/21)/((-2)/42). Let v(c) be the second derivative of -1/50*c**5 + 0*c**2 + 1/105*c**a + 0*c**4 + 0*c**6 + 0 + 4*c + 0*c**3. Factor v(f).
2*f**3*(f - 1)*(f + 1)/5
Let f(m) be the first derivative of m**6/480 + m**5/40 + 5*m**4/96 - 15*m**2 + 23. Let j(b) be the second derivative of f(b). Factor j(d).
d*(d + 1)*(d + 5)/4
Factor -2920*d**2 - 710*d**2 - 4*d**4 - 23104 - 2696*d**2 - 3247*d**2 - 320*d**3 + 2565*d**2 - 24320*d.
-4*(d + 2)**2*(d + 38)**2
Let p(t) be the first derivative of -4*t**3/3 + 138*t**2 - 45. Let p(q) = 0. Calculate q.
0, 69
Let y(h) be the third derivative of h**8/5040 + h**7/420 + h**5/5 - 2*h**2. Let f(j) be the third derivative of y(j). Let f(b) = 0. Calculate b.
-3, 0
Let i(q) = -q**3 + 8*q**2 + 3*q - 6. Let n(k) = 3*k**3 - 7*k**2 - 3*k + 7. Let h(m) = 5*i(m) + 4*n(m). Factor h(f).
(f + 1)**2*(7*f - 2)
Let u(r) be the third derivative of -1/180*r**5 + 1/18*r**3 - 5*r**2 + 0*r + 0 - 1/360*r**6 + 1/72*r**4. Factor u(p).
-(p - 1)*(p + 1)**2/3
Let n(r) be the third derivative of -r**6/300 - r**5/15 + 11*r**4/60 + 2*r**2 - 3*r. Factor n(w).
-2*w*(w - 1)*(w + 11)/5
Suppose 1813/5*t + 1/5*t**4 + 31/5*t**3 + 357/5*t**2 + 686 = 0. What is t?
-10, -7
Suppose -4*b + 2*c + 28 = 14, 5*c + 35 = 3*b. Suppose 5/3*u + 5/3*u**2 + b = 0. Calculate u.
-1, 0
Suppose 5*f = -k + 26, 55*f - 56*f = -k - 4. Let i(u) be the third derivative of 12*u**2 + 0 + 4/3*u**3 + 1/15*u**f + 0*u + 1/2*u**4. Let i(x) = 0. What is x?
-2, -1
Suppose -z + p + 7 = 0, -5*z - 4*p - 11 = -1. Let 1/3 + 3*h + 5*h**z - 25/3*h**3 = 0. What is h?
-1/5, 1
Suppose -3*o = -2*m - 4, 0 = -4*o + 3*m + m + 4. Suppose -o*u = u. Factor 7/4*q**4 + u + 1/2*q**2 + 9/4*q**3 + 0*q.
q**2*(q + 1)*(7*q + 2)/4
Let y(b) = -176*b**2 + 2*b - 1. Suppose -3 - 5 = -4*f. Let z(u) = -58*u**2 + u. Let g(a) = f*y(a) - 7*z(a). Factor g(o).
(6*o + 1)*(9*o - 2)
Let z(x) be the first derivative of -x**4/12 - 5*x**3/9 - 2*x**2/3 - 2. Let z(g) = 0. Calculate g.
-4, -1, 0
Let a(d) be the first derivative of d**5/210 + 4*d**4/21 + 64*d**3/21 - 7*d**2 + 14. Let t(m) be the second derivative of a(m). Factor t(z).
2*(z + 8)**2/7
Suppose -8*u = -3*u - 2*k + 1576, 0 = -5*u - k - 1567. Let y = 314 + u. Factor -1/5*g**2 + 0*g + y.
-g**2/5
Factor -12*m**4 - m**5 + 62*m**2 - 179*m**3 - 14*m**2 + 163*m**3 - 2 + 80*m + 2.
-m*(m - 2)*(m + 2)**2*(m + 10)
What is q in 6/5*q + 2/5*q**3 - 8/5*q**2 + 0 = 0?
0, 1, 3
Suppose -5*g - 256 = -5*j - g, 3*j - 2*g - 152 = 0. Let r be (-4)/(-10) + j/30. Find o, given that 0*o**r + 1/5*o**4 - 1/5*o**3 + 0 + 0*o = 0.
0, 1
Factor -3600 + 547*g**3 + 1398*g - 271*g**3 - 272*g**3 + 2442*g - 244*g**2.
4*(g - 30)**2*(g - 1)
Suppose -2*d - 5*z - 21 = 0, 0 = 2*z + 15 - 5. What is t in -210*t**4 + 18*t**2 + 207*t**4 - 3*t**d - 12 = 0?
-2, -1, 1, 2
Let g = 5/86 + -6/473. Let x(j) be the first derivative of 8/11*j + 0*j**2 + g*j**4 + 7 - 2/11*j**3. Factor x(u).
2*(u - 2)**2*(u + 1)/11
Let k = 862 - 1721/2. Solve -3/2*y**3 + 3/4*y + 3/2 - 3*y**2 + 3/4*y**5 + k*y**4 = 0 for y.
-2, -1, 1
Determine g so that -6*g**3 - 5 + 3 + 50*g**2 + g**3 + 2 = 0.
0, 10
Factor 1/7*k - 6/7 - 1/7*k**3 + 6/7*k**2.
-(k - 6)*(k - 1)*(k + 1)/7
Let k(y) be the first derivative of -y**3 + 75*y**2/2 + 78*y - 274. Factor k(t).
-3*(t - 26)*(t + 1)
Let j(q) = -q**2 + 9*q - 10. Let w be j(7). Let o(p) be the third derivative of 0*p + 0 - 1/6*p**w + 1/6*p**3 - 3*p**2 + 1/20*p**5. Factor o(n).
(n - 1)*(3*n - 1)
Let p = -6/113 - -233/2260. Let b(f) be the second derivative of 0 - p*f**6 + 3/5*f**5 + 8*f**3 + 3*f - 3*f**4 - 12*f**2. Find i, given that b(i) = 0.
2
Let y(a) be the second derivative of a**5/150 - a**4/60 + 7*a**2/2 + 7*a. Let l(c) be the first derivative of y(c). Solve l(u) = 0.
0, 1
Let t(v) be the first derivative of 2*v**3/3 + 10*v**2 - 22*v - 71. Factor t(k).
2*(k - 1)*(k + 11)
Factor -72 + 6*s - 1/8*s**2.
-(s - 24)**2/8
Let r(o) be the second derivative of 9*o**5/20 + 115*o**4 - 923*o**3/6 + 77*o**2 + 13*o + 8. Find i, given that r(i) = 0.
-154, 1/3
Suppose 5*y + w - 67 = y, 72 = 4*y - 4*w. Let g(o) = 2*o**2 + 26*o - 18. Let c(q) = -5*q**2 - 77*q + 55. Let m(k) = y*g(k) + 6*c(k). Factor m(a).
4*(a - 3)*(a - 2)
Let f(y) be the second derivative of 22*y - 1/6*y**4 + 0 + 0*y**2 - 5/3*y**3. Find v, given that f(v) = 0.
-5, 0
Let s(x) be the third derivative of x**8/224 + x**7/21 - x**6/24 - x**5/6 + 7*x**4/48 + 6*x**2 - 20*x. Determine b so that s(b) = 0.
-7, -1, 0, 1/3, 1
Factor 215 - 200*v - 103*v**3 + 98*v**3 + 55*v**2 + 25.
-5*(v - 4)**2*(v - 3)
Let w(g) be the first derivative of -5/16*g**2 - 1/6*g**3 - 1/32*g**4 - 1/4*g + 2. Suppose w(z) = 0. What is z?
-2, -1
Let a(t) be the third derivative of t**9/36960 + t**8/55440 - t**7/3080 - t**6/1980 - 2*t**5/5 + t**2. Let x(q) be the third derivative of a(q). Factor x(y).
2*(y - 1)*(y + 1)*(9*y + 2)/11
Let h(o) be the second derivative of 1/168*o**7 - 1/24*o**4 + 1/24*o**3 - 1/40*o**5 + 1/120*o**6 + 14*o + 0 + 1/8*o**2. Solve h(j) = 0.
-1, 1
Let l = -15/4466 + 1124/2233. Find k such that -1/2*k**2 - 1/2*k + 1/2 + l*k**3 = 0.
-1, 1
Let f(g) be the first derivative of -10*g**6/3 - 47*g**5 - 1005*g**4/4 - 1910*g**3/3 - 800*g**2 - 480*g + 438. What is w in f(w) = 0?
-4, -2, -1, -3/4
Suppose -4*n - 15*b + 20*b - 22 = 0, 0 = -2*n + 13*b - 74. Let -2/3*z**2 - n*z - 4/3 = 0. Calculate z.
-2, -1
Let o(c) = -8 - 3*c + 3*c - 2*c. Let n be o(-5). Factor -25*d + 6*d**3 - d**3 + 20*d**4 - 10 + 15*d**3 + 5*d**5 - 10*d**n.
5*(d - 1)*(d + 1)**3*(d + 2)
Solve 1/4*m**2 + 3/2 - 5/4*m = 0.
2, 3
Let p(d) be the third derivative of d**5/12 - 137*d**4/24 + 9*d**3 + 154*d**2 + 1. Factor p(s).
(s - 27)*(5*s - 2)
Let -8/9*q + 0 + 2/9*q**2 + 1/9*q**3 = 0. What is q?
-4, 0, 2
Let n(d) be the third derivative of 0*d + 0 + 0*d**3 + 1/8*d**4 - 3/20*d**6 - 1/20*d**5 + 2*d**2. Factor n(r).
-3*r*(2*r + 1)*(3*r - 1)
Let h(m) be the first derivative of m**5/50 - m**4/30 - 2*m**3/15 + 3*m - 1. Let d(a) be the first derivative of h(a). Determine j so that d(j) = 0.
-1, 0, 2
Suppose -48/5 + 32/5*w - 4/5*w**2 = 0. What is w?
2, 6
Let i(m) be the second derivative of -m**5/30 + 17*m**4/54 - 2*m**3/3 - 8*m**2/9 + 15*m + 1. Factor i(h).
-2*(h - 4)*(h - 2)*(3*h + 1)/9
Let q(b) = 3*b**4 - 10*b**3 - 5*b**2 + 4*b + 8. Let z(k) = -8*k**4 + 29*k**3 + 16*k**2 - 12*k - 25. Let u(g) = -11*q(g) - 4*z(g). Suppose u(w) = 0. Calculate w.
-3, -2, 1
Suppose -5*n + 4 = 3*c, -2*c = -3*n + 9 + 1. Determine i so that -3*i + 3 + 3/4*i**n = 0.
2
Let g = 3220 + -16096/5. Find i, given that g*i + 0 + 6/5*i**2 + 2/5*i**3 = 0.
-2, -1, 0
Let o(x) be the first derivative of x**4/11 - 10*x**3/33 - 3*x**2/11 - 203. Factor o(a).
2*a*(a - 3)*(2*a + 1)/11
Let m(r) be the first derivative of -10*r**3/27 + 4*r**2/3 + 152. Factor m(g).
-2*g*(5*g - 12)/9
Let x(y) be the first derivative of -y**5/5 + y**4/3 + 10*y**3/3 + 6*y**