 - 3. Let g be i(-7). Let v = -34 - g. Factor j**3 - 7/2*j**v + 0 - j + 7/2*j**2.
-j*(j - 1)*(j + 1)*(7*j - 2)/2
Let z(y) = -y + 5*y**3 - 1 - 2*y + 5*y - 2*y**2. Let k be z(1). Find o, given that o**5 - 12*o**2 - 4*o**5 + 5*o**k + 7*o**4 - 3*o**4 = 0.
-1, 0, 2
Let w(v) be the second derivative of -v**5/60 - 7*v**4/36 - v**3/3 + 8*v. Factor w(t).
-t*(t + 1)*(t + 6)/3
Let x(w) be the third derivative of w**7/10080 + w**6/1440 - w**5/160 + 5*w**4/288 + 3*w**3/2 - 15*w**2. Let j(r) be the first derivative of x(r). Factor j(c).
(c - 1)**2*(c + 5)/12
Let p(c) = 9*c**2 - c + 12. Let q be p(-5). Factor q + 10*d**3 - 2*d**2 - 242 - 2*d**4 - 6*d**3.
-2*d**2*(d - 1)**2
What is v in -16/5 - 34/5*v - 13/10*v**3 - 1/10*v**4 - 24/5*v**2 = 0?
-8, -2, -1
Let q(p) = -8*p**4 - 2*p**3 + 19*p**2 - 66*p + 64. Let u(j) = j**4 + j**3 - j**2 - 2*j. Let k(r) = 2*q(r) + 14*u(r). Factor k(d).
-2*(d - 4)**2*(d - 1)*(d + 4)
Let r(g) be the second derivative of 0*g**2 + 0 - g + 1/9*g**3 - 1/18*g**4. Factor r(s).
-2*s*(s - 1)/3
Let z(i) be the third derivative of -i**9/332640 + i**8/36960 - i**7/13860 + 23*i**5/60 + 26*i**2. Let v(h) be the third derivative of z(h). Factor v(s).
-2*s*(s - 2)*(s - 1)/11
Let c(w) = -w**3 - 2*w**2 - 2*w - 1. Let b(f) = -3*f**4 - 173*f**3 + 542*f**2 - 544*f + 184. Let p(r) = -b(r) - c(r). Factor p(l).
3*(l - 1)**3*(l + 61)
Let g be (-1)/((0 - 3/(-33))/(-1)). Factor -g*v**4 - 17*v**4 + 7*v**2 + v**3 + 25*v**4 - v**5 - 4.
-(v - 1)**2*(v + 1)*(v + 2)**2
Let s be (-1*(-2)/(-56))/((-15)/240). Factor -4/7*b - 4/7 + 4/7*b**3 + s*b**2.
4*(b - 1)*(b + 1)**2/7
Let b(n) = -n**4 + 6*n**3 - 5*n**2 - 6*n - 6. Let i(d) = -d - 1 - d + d**3 + 7*d - d**2 - 6*d. Let z(t) = -b(t) + 6*i(t). Determine q, given that z(q) = 0.
-1, 0, 1
Let t be -2*(9 + 259/(-28)). Suppose 50 + t*s**2 - 10*s = 0. What is s?
10
Let s(w) be the first derivative of -11 - 5/3*w**3 - 10*w + 15/2*w**2. Factor s(m).
-5*(m - 2)*(m - 1)
Let i = -4094 + 12175/3. Let b = i - -36. Factor 0 + b*l**2 + 0*l.
l**2/3
Let f(d) be the first derivative of d**4/22 - 26*d**3/33 + 51*d**2/11 - 126*d/11 + 71. Let f(s) = 0. Calculate s.
3, 7
Let r(t) be the second derivative of 5*t**4/16 + 33*t**3/8 - 21*t**2/4 - 34*t. Suppose r(q) = 0. What is q?
-7, 2/5
Let r(f) = 4*f**2 + 8*f - 25. Let d(a) = -3*a**2 - 5*a + 17. Let v(y) = -7*d(y) - 5*r(y). Let u be v(4). Factor -2*h**5 + 4*h**3 + 327*h**2 - 327*h**u - 2*h.
-2*h*(h - 1)**2*(h + 1)**2
Let a be -2 + 1/(6/(-30)). Let v be 23/a + 5 + (-8)/(-28). Factor 0 - 1/4*g + 1/4*g**v.
g*(g - 1)/4
Suppose -14/3*j + 158/5*j**3 + 394/15*j**2 + 4/15*j**5 + 146/15*j**4 - 44/5 = 0. Calculate j.
-33, -2, -1, 1/2
Factor -33/2*b - 3/2*b**2 - 15.
-3*(b + 1)*(b + 10)/2
Let h(x) be the first derivative of x**7/1785 + x**6/204 + 4*x**5/255 + x**4/51 + 13*x**2/2 + 15. Let t(v) be the second derivative of h(v). Factor t(m).
2*m*(m + 1)*(m + 2)**2/17
Let q be 4/(-6) + 4/6. Let n be 1 + (-6)/(q + -3). Factor b**n - 3 + 5*b + 1 - 2*b + 1 - 3*b**2.
(b - 1)**3
Let f(y) = y**3 + 11*y**2 - 5*y + 10. Let v be f(-8). Factor 6*o**3 - v + 2*o + 8*o**2 + 242.
2*o*(o + 1)*(3*o + 1)
Let f(b) be the second derivative of b**3 - 2*b**2 + 0 + 7*b - 1/10*b**5 + 0*b**4. Factor f(d).
-2*(d - 1)**2*(d + 2)
Let y(i) be the third derivative of 7/60*i**5 + 0*i - 1/210*i**7 + 1/24*i**4 + 0 - i**3 - 1/120*i**6 + 24*i**2. Find u such that y(u) = 0.
-3, -1, 1, 2
Let p(u) be the first derivative of u**5/4 - 9*u**4/4 + 47*u**3/12 + 9*u**2 - 4*u + 397. Solve p(q) = 0.
-1, 1/5, 4
Let g be -5 + 29 + (-8 - 2). Let p(c) be the second derivative of 0 + g*c + 1/3*c**3 - 1/3*c**4 + c**2. What is m in p(m) = 0?
-1/2, 1
Let a be (12/16 - 975/52)*1/(-15). Factor 2/5*z**3 + a*z**2 + 0*z - 8/5.
2*(z - 1)*(z + 2)**2/5
Let x be 3/12*4 + 13. Let l be 98/x*(-18)/(-7). Let -4*t - 7*t**3 - 4*t**5 + t**3 + 16*t**4 - l*t**3 + 16*t**2 = 0. Calculate t.
0, 1
Let h(c) be the first derivative of -7*c**3 - 402*c**2 - 228*c + 92. Factor h(j).
-3*(j + 38)*(7*j + 2)
Let g = 315 - 201. Let o = g + -568/5. Factor -2/5*v - o*v**2 + 4/5.
-2*(v - 1)*(v + 2)/5
Let j(s) = -5*s**2 + 11*s - 9. Let b(w) = w**2 + 1. Let i(t) = 4*t**2 + 16*t - 2. Let d(x) = 22*b(x) - 2*i(x). Let r(z) = 3*d(z) + 8*j(z). Factor r(g).
2*(g - 3)*(g - 1)
Let f = 70 - 74. Let i be (-3)/f + (-196)/336. Factor 0 - 1/6*y**3 + i*y**2 + 0*y.
-y**2*(y - 1)/6
Suppose -f = -10*f + 180. Let s be (-8)/f*(-10)/(-8) - -1. What is q in -1/2*q**2 - 1/2*q + 1/2*q**3 + 0 + s*q**4 = 0?
-1, 0, 1
Let n = 41 + -38. Determine j, given that 2*j - 6 - 5*j**3 + 10*j**n + 6*j**2 - j**3 - 6*j**3 = 0.
-1, 1, 3
Let i(p) be the third derivative of -p**8/112 + 27*p**7/70 - 27*p**6/5 + 108*p**5/5 + 2*p**2. Let i(r) = 0. Calculate r.
0, 3, 12
Let a(u) be the second derivative of u**6/1980 + u**5/660 + u**3 - 10*u. Let x(y) be the second derivative of a(y). Let x(i) = 0. Calculate i.
-1, 0
Determine g, given that -1/6*g**2 + 5/6*g + 1 = 0.
-1, 6
Let g(h) be the first derivative of 3*h**5/40 - 3*h**4/32 - h**3/8 + 3*h**2/16 - 193. Determine n so that g(n) = 0.
-1, 0, 1
What is i in -4/3 - 16/9*i**2 - 26/9*i - 2/9*i**3 = 0?
-6, -1
Factor -280/3 + 4*g + 4/3*g**2.
4*(g - 7)*(g + 10)/3
Suppose 0 = 40*n + 4 - 4. What is l in 1/6*l**2 + 0 + 1/6*l**3 + n*l = 0?
-1, 0
Let g = -391038/13 - -30080. Factor -4/13*k**3 + 4/13*k - g*k**4 + 2/13 + 0*k**2.
-2*(k - 1)*(k + 1)**3/13
Let y = -667 - -669. Let x(c) = c**2 + c - 4. Let g be x(-3). Let -5*v**2 + 3*v**y + 2*v**2 - v**g = 0. What is v?
0
Factor -24 + 16 - 10*p**2 - 40*p - 7 + 40*p**3 + 25*p**4.
5*(p - 1)*(p + 1)**2*(5*p + 3)
Let t(i) be the third derivative of 5/4*i**4 + 0 + 25/6*i**3 - 7*i**2 + 0*i + 1/12*i**5. Factor t(u).
5*(u + 1)*(u + 5)
Let w(p) = -17*p**2 - 271*p - 238. Let g be w(-15). Factor 2/9*c**3 + 0 - 2/3*c + 4/9*c**g.
2*c*(c - 1)*(c + 3)/9
Let k(b) be the first derivative of 2 - 16/3*b - 20/3*b**2 + 28/15*b**5 + 1/3*b**6 + 17/6*b**4 - 4/3*b**3. Let k(f) = 0. What is f?
-2, -1, -2/3, 1
Let t(l) = -6*l - 34. Let a be t(-6). Let f be ((10/(-3))/(-5))/a. What is q in 0 + f*q + 2/3*q**2 = 0?
-1/2, 0
Suppose z + 3*l + 7 = 0, -2*l = -3*z + 20 - 8. Let f(v) be the second derivative of -2*v - 1/6*v**3 + 3/8*v**z + 0 + 1/48*v**4. Factor f(g).
(g - 3)*(g - 1)/4
Let c = 78/103 + 359/206. Find m, given that -c*m + 0 + 0*m**2 + 5/2*m**3 = 0.
-1, 0, 1
Let n be (-16)/10 + (-656)/(-410). Solve 2/5*u**2 - 7/5*u**4 + n*u + 0 - u**3 = 0.
-1, 0, 2/7
Suppose 4*c - c + u - 11 = 0, 2*c - 2*u = -6. Solve -5 + 4 - 2*d**2 + 5*d**2 - 2*d**c = 0 for d.
-1, 1
Let s = 11784 + -11782. Find j, given that 2/3 + 1/3*j**s - j = 0.
1, 2
Let i = -31 - -34. Let q be (-3)/(-2) + -1 + i/(-6). Factor 1/3*a**3 - 1/3*a + 0*a**2 + q.
a*(a - 1)*(a + 1)/3
Let w(f) = -83*f + 520. Let x(m) = -m**2 + 1. Let a(v) = -w(v) + 3*x(v). Let u(j) = -6*j**2 + 165*j - 1032. Let d(z) = -9*a(z) + 5*u(z). Factor d(l).
-3*(l - 13)**2
Suppose -86/9*a**2 - 4/9*a**3 + 0 + 44/9*a = 0. What is a?
-22, 0, 1/2
Suppose 0 = y + 3*z - 2, 0 = -y + 586*z - 587*z + 2. Factor -2/3*b**y + 14/9*b - 4/9.
-2*(b - 2)*(3*b - 1)/9
Let h(y) be the first derivative of y**6/15 - 7*y**5/30 + y**4/3 + 4*y**3/3 + 2. Let s(d) be the third derivative of h(d). Find v, given that s(v) = 0.
1/2, 2/3
Let d(k) be the second derivative of -k**4/24 + 23*k**3/12 + 3*k - 137. Let d(j) = 0. What is j?
0, 23
Let l be ((-388)/(-485))/((-13)/(-5) + -1). Factor -w + l*w**2 + 1/2.
(w - 1)**2/2
Suppose 0 = 4*w + 2*g - 2, -2*w + 3*g - 3 = -0*w. Suppose -5*u + 14 - 4*u**2 + w*u**2 + 2*u**2 - 7*u = 0. Calculate u.
-7, 1
Let l be (-30)/(-9) + (-4)/(-6). Suppose -5*m - 15 = -4*w - w, 0 = -l*m - 4*w + 28. Factor 6*s + 4*s**m - 4 - 2*s**3 - 6*s**3 - 14*s**5 + 16*s**5.
2*(s - 1)**3*(s + 1)*(s + 2)
Let y(i) be the first derivative of 2*i + 2/3*i**3 - 2*i**2 + 14. Solve y(p) = 0 for p.
1
Let s(b) = b**3 + b**2 + b. Let l(k) = -5*k**5 + 10*k**3 + 5*k**2 + 5*k. Let d(i) = -l(i) + 5*s(i). Factor d(v).
5*v**3*(v - 1)*(v + 1)
Suppose 0 = -4*l - n - n + 4, -l - 4*n - 13 = 0. Let i(v) be the second derivative of -1/54*v**4 - 1/27*v**l + 0*v**2 + 0 - v. Factor i(t).
-2*t*(t + 1)/9
Factor 0 + 0*h - 5/3*h**2 - 1/3*h**4 + 2*h**3.
-h**2*(h - 5)*(h - 1)/3
Suppose 2*n = -3*r + 36 - 13, 25 = 5*r. Suppose 2*m + m + 2*v + n = 0, -4*v = 8. Find a such that -1/4*a - 1/4*a**2 + m = 0.
-1,