(o) be the second derivative of o**7/210 - o**5/10 + 3*o**3/10 - 2*o + 15. Suppose g(w) = 0. Calculate w.
-3, -1, 0, 1, 3
Let f(h) = -h**2 + 246*h - 239. Let k(p) = -2. Let m(a) = -f(a) - 3*k(a). Determine d, given that m(d) = 0.
1, 245
Let a(b) be the first derivative of 25*b + 6 - 5/3*b**3 - 10*b**2. Suppose a(d) = 0. Calculate d.
-5, 1
Let b be (12 - 1245/110)*(-12)/(-15). Factor -2/11*p**2 - 4/11 + b*p.
-2*(p - 2)*(p - 1)/11
Let m(z) = -3*z + 53. Let f be m(17). Factor u**4 + f*u**4 - 9 - 15*u**2 - 3*u**2 + 24*u.
3*(u - 1)**3*(u + 3)
Suppose 0 = 9*r - 4*r. Suppose 0 = -r*k - 4*k. Factor 0*x**2 + k*x - 3*x - x**2 + x.
-x*(x + 2)
Find u such that -179*u**3 - 189*u**3 + 3 - 3 + 369*u**3 + 2*u**2 - u**4 = 0.
-1, 0, 2
Factor 1/2*j**2 + 3/2*j + 0.
j*(j + 3)/2
Let r(q) be the first derivative of 4*q**5/5 - 15*q**4 + 52*q**3 - 74*q**2 + 48*q - 112. Determine i, given that r(i) = 0.
1, 12
Let v = 291/1405 - 2/281. Let y = 2/7 - -4/35. Find l, given that 1/5 + y*l + v*l**2 = 0.
-1
Let f(v) be the first derivative of 2*v**5/5 - 3*v**4/2 - 8*v**3/3 - 69. Determine l, given that f(l) = 0.
-1, 0, 4
Let n(w) be the second derivative of -2*w**7/35 - 14*w**6/75 + 4*w**4/15 + 4*w + 2. Find t such that n(t) = 0.
-2, -1, 0, 2/3
Let w be (-120)/(-28) + (-6)/21. Determine h so that -99*h**3 - 44*h**4 - 4*h**5 - 36*h**4 - w*h**4 - 11*h**5 + 54*h**2 = 0.
-3, 0, 2/5
Let i be 6/27 - (-29)/(-9). Let s be 3/(-3*i/6). Factor 27 + 18*j + 3*j**2 + 3 + s - 5.
3*(j + 3)**2
Let x(o) be the first derivative of -12*o**3 - 60*o**2 - 1. Let v(y) = 7*y**2 + 24*y. Let w(c) = -16*v(c) - 3*x(c). What is m in w(m) = 0?
-6, 0
Factor 2*m**3 - 2/9*m**4 + 2/9*m**2 - 2*m + 0.
-2*m*(m - 9)*(m - 1)*(m + 1)/9
Let t(h) = -2*h - 19. Let s be t(-11). Factor -14*b**3 + 20*b + 15*b**4 - 157*b**2 + 147*b**2 - 6*b**s - 5.
5*(b - 1)**2*(b + 1)*(3*b - 1)
Let n(r) = -9*r**2 + 236*r - 2880. Let c(l) = -26*l**2 + 709*l - 8640. Let p(y) = 4*c(y) - 11*n(y). Determine i, given that p(i) = 0.
24
Let p(n) be the first derivative of -4*n**5/25 + n**4 + 16*n**3/15 - 88*n**2/5 + 192*n/5 - 47. Let p(x) = 0. What is x?
-3, 2, 4
Factor 6/11*t**5 + 12/11*t**4 - 18/11*t**3 - 24/11*t**2 + 24/11*t + 0.
6*t*(t - 1)**2*(t + 2)**2/11
Let n(a) = -3*a**3 - 6*a**2 + 9*a + 12. Let s(m) = m**4 + 9*m**3 + 12*m**2 - 19*m - 23. Let d(l) = -5*n(l) - 3*s(l). Factor d(u).
-3*(u - 1)*(u + 1)**2*(u + 3)
Factor 39/2*l + 1/2*l**3 - 21/2*l**2 - 19/2.
(l - 19)*(l - 1)**2/2
Let u(y) = 14*y**3 + 5*y**2 - 5. Let k(s) = -8*s**3 - 3*s**2 + 3. Let b(z) = 10*k(z) + 6*u(z). Solve b(x) = 0.
0
Suppose 2*m = -4*w - 5 + 17, 8 = -2*m. Suppose -2 = -w*g + 8. Solve 27/4 - 9/2*p + 3/4*p**g = 0 for p.
3
Let m(q) be the second derivative of q**4/4 - 63*q**3/2 + 93*q**2 - 4*q. Find l, given that m(l) = 0.
1, 62
Suppose -8/11 - 2/11*o**2 - 10/11*o = 0. Calculate o.
-4, -1
Solve 22/5*u**2 - 22/5 + 1/5*u - 1/5*u**3 = 0 for u.
-1, 1, 22
Let a(n) = 3*n**3 + 45*n**2 - 3*n - 36. Let l be a(-15). Let g be 6/l - 6/18. What is q in 4/3 + 1/3*q**3 - 4/3*q - g*q**2 = 0?
-2, 1, 2
Suppose -7*g = -8*g - d, -15 = -4*g + d. Factor -2/7 + 8/7*s**2 + 18/7*s**4 + 5/7*s**5 + 22/7*s**g - 3/7*s.
(s + 1)**4*(5*s - 2)/7
Let t(i) be the first derivative of 8*i**5/45 + 43*i**4/18 + 250*i**3/27 + 62*i**2/9 - 16*i/3 - 126. Determine d, given that t(d) = 0.
-6, -4, -1, 1/4
Suppose 716*d - 714*d - 12 = 0. Let z(c) be the second derivative of -1/90*c**d + 1/60*c**5 + 0*c**3 + 0*c**2 + 1/18*c**4 - 8*c + 0. Factor z(p).
-p**2*(p - 2)*(p + 1)/3
Let g(r) be the first derivative of 0*r + 2/27*r**3 - 2/9*r**2 + 8 - 2/45*r**5 + 1/9*r**4. Factor g(y).
-2*y*(y - 2)*(y - 1)*(y + 1)/9
Factor -277341 + 16318*v + 1397222 - 4*v**3 - 93118*v + 547*v**2 + 413*v**2 + 928119.
-4*(v - 80)**3
Let z(i) be the second derivative of 3/10*i**5 - 5/4*i**4 + 7*i + 0*i**2 + 0 + i**3. Solve z(m) = 0 for m.
0, 1/2, 2
Find n, given that 8192/9 + 2/9*n**2 + 256/9*n = 0.
-64
Let y(o) = -12*o**3 - 22*o**2 - 20*o - 6. Let m(q) = -q**2 + q + 1. Let g(z) = -4*m(z) - y(z). Find d, given that g(d) = 0.
-1, -1/6
Suppose 0 = 8*x - 4 - 12. Let g be 3/((-39)/x) - 10/(-65). Factor 4/11*j - 6/11*j**2 + 2/11*j**3 + g.
2*j*(j - 2)*(j - 1)/11
Let w(p) = -5*p**2 + 35*p - 122. Let l(r) = -11*r**2 + 71*r - 242. Let y(d) = 3*l(d) - 7*w(d). Determine a so that y(a) = 0.
8
Determine k, given that -20 - 4*k**3 - 17*k - 30*k**2 - 14*k + 2*k**4 + 2*k**3 - 15*k = 0.
-2, -1, 5
Find w, given that 4 - w**2 + 1 - 4*w - 10 + 2*w**2 = 0.
-1, 5
Let f be 2/6 + -5 + (-176)/(-12). Factor 7*x**3 - 12 - 3*x**3 + 11*x**2 - f*x**2 - 4*x + 11*x**2.
4*(x - 1)*(x + 1)*(x + 3)
Let g(z) be the first derivative of 5*z**6/6 + 9*z**5/20 - 19*z**4/16 - 3*z**3/4 - z**2/8 + 109. Suppose g(t) = 0. What is t?
-1, -1/4, -1/5, 0, 1
Let r(b) be the second derivative of 3*b - 1/120*b**5 + 0 + 1/2160*b**6 + b**3 + 0*b**2 + 1/16*b**4. Let u(p) be the second derivative of r(p). Factor u(n).
(n - 3)**2/6
Let t be (0/(2 + 4 + -4))/2. Factor t + 1/4*v**2 + 1/4*v**3 + 0*v.
v**2*(v + 1)/4
Let y(g) = -5*g**2 - 5*g + 102. Let u be y(-5). Factor 0*r - 1/4*r**u + 1/4*r**3 + 0.
r**2*(r - 1)/4
Let l be 542/(-16) - (-8)/((-512)/8). Let o be (-8)/36*3 + l/(-42). Factor -1/7 - 2/7*n - o*n**2.
-(n + 1)**2/7
Suppose -4*u - g = -100, 2*g = -2*g + 16. Suppose -n - 32 = -5*p, 4*p - 7*p = n - u. Factor 0 - p*d**2 + 0 - 9*d + 1 - 3.
-(d + 1)*(7*d + 2)
Let v = -1211/4 - -337. Let g = -34 + v. Suppose -3/2*w**2 - 3*w - 2 - g*w**3 = 0. Calculate w.
-2
Let s(u) be the third derivative of -11*u**7/105 + 59*u**6/240 - 2*u**5/15 + u**4/48 + 717*u**2 + 2. Let s(o) = 0. Calculate o.
0, 1/11, 1/4, 1
Let x be 11 - (-189)/(27 - 48). Factor 1/3*j + 2 - 1/3*j**x.
-(j - 3)*(j + 2)/3
Let k be (-2178)/121 + 36/2. Let -11/6*f**3 + 1/6*f**4 - 25/6*f**2 - 13/6*f + k = 0. What is f?
-1, 0, 13
Let w(b) be the second derivative of b**6/255 - 3*b**5/85 + 5*b**4/102 + 4*b**3/17 - 13*b - 1. Suppose w(m) = 0. Calculate m.
-1, 0, 3, 4
Let a = 128 + -126. Find w, given that -16*w**a + 8*w - 10*w**3 + 2*w**3 + 12*w + 12*w**3 - 8 = 0.
1, 2
Suppose -10 = -4*p + b, 4*p = -p - 5*b. Suppose -3*x + 8*x**2 - 3*x**3 + 10*x**2 - 12*x**p = 0. What is x?
0, 1
Let c = -9/301 - -355/1806. Let d(b) be the first derivative of -4/5*b**5 + 1/4*b**4 + 11 - 8*b - 2*b**2 + 10/3*b**3 + c*b**6. Suppose d(a) = 0. What is a?
-1, 2
Let q = -11 - -21. Let a be 20/8*16/q. Determine y, given that 222*y**2 - 4*y**3 + 4*y**4 - 225*y**2 - 5*y**a = 0.
-3, -1, 0
Suppose -8*c + 1 + 15 = 0. Let n(j) be the first derivative of -7 + 0*j + 1/5*j**c - 2/15*j**3. Factor n(u).
-2*u*(u - 1)/5
Let r(u) be the second derivative of -u**7/126 + u**6/12 - u**5/4 + 5*u**4/18 - 22*u**2 + 8*u. Let o(a) be the first derivative of r(a). Factor o(l).
-5*l*(l - 4)*(l - 1)**2/3
Suppose -o - 4*u = -5*o + 28, 5*u = -o - 11. Suppose -f - f = -o. Factor -4*q**2 + 6*q**2 - q**f - 2*q**2.
-q**2
Let w(n) be the first derivative of -4*n**2 - 28/9*n**3 + 2 + 0*n - 1/3*n**4. Factor w(j).
-4*j*(j + 1)*(j + 6)/3
Let z(f) be the second derivative of f**5/20 + 5*f**4/6 + 4*f**3/3 - 7*f**2/2 + 3*f. Let w be z(-9). What is u in -w*u**3 - 3 + 0 - 4*u**2 + 3 = 0?
-2, 0
Let v(j) be the second derivative of j**6/40 + j**5/80 - 5*j**4/12 + j**3/2 - 255*j. Factor v(l).
l*(l - 2)*(l + 3)*(3*l - 2)/4
Let h(w) be the first derivative of 2*w**3/3 - 3*w**2 + 7*w - 7. Let v be h(2). Let 4*l**5 - 8*l**4 + 0*l**3 + 8*l**2 + 0*l**v - l**3 - 3*l**3 = 0. What is l?
-1, 0, 1, 2
Suppose 38 + 9 + 14 - 17 + 2*x**2 + 46*x = 0. Calculate x.
-22, -1
Let c(r) be the first derivative of r**4 - 4*r**3/3 - 10*r**2 - 12*r + 146. What is g in c(g) = 0?
-1, 3
Suppose 0 + 24/7*t**3 - 18/7*t + 15/7*t**2 - 9/7*t**4 = 0. Calculate t.
-1, 0, 2/3, 3
Factor 323*v**3 - 636*v**3 + 15*v**2 + 318*v**3.
5*v**2*(v + 3)
Let s(w) be the third derivative of 0*w + 0*w**3 - 1/24*w**4 + 1/120*w**5 + 0 + 1/120*w**6 + 2*w**2 - 1/420*w**7. What is t in s(t) = 0?
-1, 0, 1, 2
Let c be 2/(5/((-200)/(-35))). Factor -c*k**3 + 4/7*k - 10/7*k**4 + 0 - 2/7*k**2.
-2*k*(k + 1)**2*(5*k - 2)/7
Let d be 2/6 - 23/216*3. Let h(o) be the third derivative of 1/360*o**6 - d*o**4 - 1/90*o**5 + 0 + 0*o - o**2 + 1/9*o**3. Factor h(m).
(m - 2)*(m - 1)*(m + 1)/3
Factor 0 - 28/5*d**3 + 0*d - 36/5*d**2.
-4*d**2*(7*d + 9)/5
Let l(d) = -d**3 - 8*d**2 + d + 13. Let v be