ivative of b**7/10080 + b**6/576 + b**5/120 + 11*b**4/12 + 7*b**2. Let r(u) be the second derivative of h(u). Factor r(y).
(y + 1)*(y + 4)/4
Let d(o) = 20*o**2 + 1612*o - 324829. Let l(z) = 9*z**2 + 806*z - 162414. Let q(t) = 10*d(t) - 22*l(t). Determine c, given that q(c) = 0.
403
Let g = 0 + 4. Suppose -3*k**3 - 20 + 5*k + g*k**3 - 6*k**3 + k**2 + 15*k + 4*k**2 = 0. Calculate k.
-2, 1, 2
Suppose -3*u - 29 = -2*k - 0*k, 3*u = 3*k - 36. Factor -1 + 40*h**2 + 9*h - 12*h**3 + 5*h**5 - 2*h**5 + k - 46*h**2.
3*(h - 2)*(h - 1)*(h + 1)**3
Let n(u) = 11*u**2 + 626*u - 2. Let z(d) = 114*d**2 + 6261*d - 21. Let w(t) = 21*n(t) - 2*z(t). Suppose w(g) = 0. Calculate g.
-208, 0
Let v(g) be the second derivative of 249001*g**4/4 - 499*g**3 + 3*g**2/2 - 176*g - 5. Factor v(c).
3*(499*c - 1)**2
Let x(k) be the first derivative of 7/2*k**2 - 13/20*k**4 - 337 - 6/5*k + 28/15*k**3. Determine g so that x(g) = 0.
-1, 2/13, 3
Factor 88 - 17*w + 4*w**3 - 14*w - 15*w**2 - 73*w**2 - 23*w + 50*w.
4*(w - 22)*(w - 1)*(w + 1)
Let b be (-1564)/3112 + (-3)/(-4). Let k = 1/389 + b. Factor 1/2*v + 3/4 - k*v**2.
-(v - 3)*(v + 1)/4
Let r = -60 + 44. Let x be 2868/96 + (-2)/r. Suppose -x*w + 50*w - 6*w**3 + w**3 + 15*w**2 = 0. Calculate w.
-1, 0, 4
Let u(c) be the second derivative of -1/5*c**5 + 0*c**4 + 0 + 32*c**2 + 8*c**3 + 114*c. Factor u(o).
-4*(o - 4)*(o + 2)**2
Suppose 6/11*s**4 + 162/11*s**2 - 240/11 - 12/11*s - 60/11*s**3 = 0. What is s?
-1, 2, 4, 5
Suppose 2/15*m**3 + 22/15*m + 16/15*m**2 - 8/3 = 0. Calculate m.
-5, -4, 1
Let b = -3/644 - -8834401/1932. Determine r, given that 2*r**4 - b + 2128*r**2 - 340/3*r**3 - 12996*r = 0.
-1/3, 19
Let d(h) be the first derivative of 4*h**5/5 - 2*h**4 - 4*h**3/3 + 4*h**2 - 502. Factor d(w).
4*w*(w - 2)*(w - 1)*(w + 1)
Let z(d) = -d**2 - 9*d - 9. Let h be z(-7). Let p be ((-26)/(-3))/((-2)/(-3)). Suppose p + 4*v**2 + 2*v + h*v - 5 + 5*v = 0. What is v?
-2, -1
Let c be 34 - 20 - 23 - -22*2/4. Factor -2*v**c - 1/4*v**4 + 9/4 + 5/2*v - 5/2*v**3.
-(v - 1)*(v + 1)**2*(v + 9)/4
Let h be (-10)/14*2079/(-2475). Find g, given that 6/5*g**4 - 3/5*g**5 - h*g**3 + 0*g**2 + 0 + 0*g = 0.
0, 1
Let y(c) be the first derivative of 4/33*c**3 + 13/11*c**2 + 20/11*c + 35 - 1/22*c**4. Determine r so that y(r) = 0.
-2, -1, 5
Let y = 134956/15 - 8997. Let z(i) be the first derivative of 2/9*i**3 + 13 - y*i**5 + 0*i**2 + 0*i - 1/12*i**4. Factor z(w).
-w**2*(w - 1)*(w + 2)/3
Let h(g) be the first derivative of g**3/15 - 36*g/5 - 443. Factor h(o).
(o - 6)*(o + 6)/5
Suppose 0 = -5*w - 2*f + 26, 2*w = 7*w + f - 23. Suppose -w*y + 7 = y + 3*v, 3*v + 9 = 3*y. Factor -2*r**2 - 4*r**2 - 9*r + 3*r**y - 4 - 2.
-3*(r + 1)*(r + 2)
Suppose 1/2*p**2 + 0 - 33/2*p = 0. What is p?
0, 33
Factor -1/2*a**2 + 111 + 109/2*a.
-(a - 111)*(a + 2)/2
Factor 4/7*g**2 + 10552/7*g + 6959044/7.
4*(g + 1319)**2/7
Let y(v) be the third derivative of -v**5/36 + 2785*v**4/72 - 1390*v**3/9 - 721*v**2 + 1. Find m such that y(m) = 0.
1, 556
Let c(r) be the second derivative of r**4/18 + 2*r**3/27 - 169*r. Suppose c(t) = 0. Calculate t.
-2/3, 0
Let g(y) be the third derivative of -y**7/45 - 47*y**6/180 - 7*y**5/18 + 119*y**4/36 - 10*y**3/3 - 15*y**2 + 101*y. What is o in g(o) = 0?
-5, -3, 2/7, 1
Let g be (((-8)/20)/1)/(3/(-570)). Determine k, given that 40*k + 333 + 747 + 96*k + g + 4*k**2 = 0.
-17
Factor 42*u**3 - 58*u**3 - 72 + 12*u**3 + 4*u + 72*u**2.
-4*(u - 18)*(u - 1)*(u + 1)
Let s(x) be the first derivative of 4/27*x**3 + 4/3*x + 8/9*x**2 + 5. Determine m, given that s(m) = 0.
-3, -1
Let h be -5 - 1 - (-49 + 40). Factor -185*g + 37 + 100*g**2 + 19 + 34 - 5*g**h.
-5*(g - 18)*(g - 1)**2
Factor 963*c**3 - 493*c**3 - 466*c**3 - 1348*c**2 - 1352*c.
4*c*(c - 338)*(c + 1)
Let h(d) be the first derivative of 5*d**4 - 10*d - 15/2*d**2 + 10/3*d**3 + 58 - 5/6*d**6 + 0*d**5. Factor h(j).
-5*(j - 2)*(j - 1)*(j + 1)**3
Let b(c) be the first derivative of -c**4/14 + 1276*c**3/7 - 1221132*c**2/7 + 519388144*c/7 - 1837. Factor b(a).
-2*(a - 638)**3/7
Let 79*d**2 - 35/3*d**3 - 65/3 + 203/3*d - 4/3*d**4 = 0. Calculate d.
-13, -1, 1/4, 5
Let f(q) be the second derivative of q**6/180 - 19*q**5/120 - 25*q**4/12 - 706*q. Factor f(c).
c**2*(c - 25)*(c + 6)/6
Suppose 4*j - 4*q = -52, 0*j + 4*q + 13 = -j. Let u = j - -15. Factor -62*p**u - 5*p + 2*p**3 + 64*p**2 + p.
2*p*(p - 1)*(p + 2)
Let k = -4196/11 - -8403/22. Let d(t) be the first derivative of k*t**2 + 1/10*t**5 + 27 - 1/6*t**3 + 1/12*t**6 + 0*t - 3/8*t**4. Solve d(c) = 0.
-2, -1, 0, 1
Let n(k) be the first derivative of 0*k + 2/9*k**3 + 88 + 6*k**2. Factor n(t).
2*t*(t + 18)/3
Let w be (-84)/(-54)*3*(-3)/(-2). Factor -4*n - 199*n**3 + w*n**2 + 200*n**3 + 16*n.
n*(n + 3)*(n + 4)
Determine h, given that 0 - 1553/4*h**3 + 1341/2*h**4 - 405/4*h**5 + 62*h**2 - 3*h = 0.
0, 1/9, 2/5, 6
Determine t, given that -895/2*t**2 - 5/4*t**4 - 1050*t - 2205/4 + 50*t**3 = 0.
-1, 21
Let l(c) be the first derivative of 8*c - 9*c**4 + 18*c**2 + 8 + 28/3*c**3 - 36/5*c**5. Suppose l(a) = 0. Calculate a.
-1, -2/3, -1/3, 1
What is g in -74*g**3 + 15/4*g**4 + 114*g**2 - 36 + 56*g = 0?
-2/3, 2/5, 2, 18
Let o(s) be the third derivative of s**6/12 + 121*s**5/10 - 43*s**4 + 148*s**3/3 - 93*s**2 - 2. Suppose o(k) = 0. What is k?
-74, 2/5, 1
What is o in 5*o**2 + 5*o**5 + 25/3*o**4 - 145/3*o**3 + 130/3*o - 40/3 = 0?
-4, -1, 1/3, 1, 2
Suppose -64*i - 254 - 578 = 0. Let a be i + 13 + -1 + 34/6. Suppose 2/9*o**3 + 686/9 + a*o**2 + 98/3*o = 0. Calculate o.
-7
Let v(a) be the third derivative of -a**5/40 + 21*a**4/16 - 26*a**3 - 1127*a**2. Factor v(x).
-3*(x - 13)*(x - 8)/2
Suppose -2*i + 5 = 3*i, -i + 28126 = 5*q. Factor -12422 - 15979 - 225*u**2 - 3*u**3 - 18474 - q*u.
-3*(u + 25)**3
Let f(l) be the first derivative of 1/210*l**5 + 0*l**4 + 0*l + 17 + 5*l**2 + 0*l**3 - 1/420*l**6. Let o(m) be the second derivative of f(m). Factor o(x).
-2*x**2*(x - 1)/7
Let c(m) be the first derivative of -m**6/420 + 2*m**5/105 + 121*m**2 + 42. Let i(h) be the second derivative of c(h). Let i(q) = 0. Calculate q.
0, 4
Let z(i) be the third derivative of -2*i**3 - 13/2*i**4 - 9*i + 0 + 5*i**2 - 169/20*i**5. Solve z(t) = 0 for t.
-2/13
Let z be (2620/(-5895))/(1/(-15)). Factor -z*v**2 + 100/3*v + 0 + 1/3*v**3.
v*(v - 10)**2/3
Let a(h) be the first derivative of -34/11*h**4 - 70*h**3 + 68/11*h**2 - 2/55*h**5 - 268 + 2312/11*h. Solve a(n) = 0 for n.
-34, -1, 1
Let z(j) be the third derivative of -4/15*j**6 - 8*j + 0*j**4 + 0 - 3/5*j**5 + 2/105*j**7 + 0*j**3 - 4*j**2. Solve z(r) = 0 for r.
-1, 0, 9
Find l, given that -6*l**2 + 0*l**2 - 10*l**2 - 4911*l**3 - 4909*l**3 - 20*l + 9824*l**3 = 0.
-1, 0, 5
Let s(n) be the second derivative of 7*n**7/16 - 161*n**6/40 - 459*n**5/40 + 53*n**4/4 - 4*n**3 - 1138*n. Suppose s(z) = 0. Calculate z.
-2, 0, 2/7, 8
Let y(t) = -7*t**4 + t**3 + 4*t**2 + 1. Let i(u) = 33*u**4 - 108*u**3 + 383*u**2 + 3944*u - 13462. Let c(z) = -i(z) - 6*y(z). Factor c(k).
(k - 4)**2*(3*k + 29)**2
Suppose 3*o + 16*v - 8 = 20*v, 2 = o - 2*v. Let y(h) be the third derivative of 1/15*h**5 + 0 + 0*h + 12*h**2 + 0*h**3 + h**o. Factor y(u).
4*u*(u + 6)
Let u(s) be the first derivative of 5*s**4/4 + 1115*s**3/3 + 2215*s**2/2 + 1105*s - 5481. Find t such that u(t) = 0.
-221, -1
Let j(t) = -2*t. Let x(z) = 2*z**2 + 45*z - 17. Let m(l) = -6*j(l) - x(l). Let g be m(-17). Solve -1/2*c**3 + g + c**2 + 0*c = 0 for c.
0, 2
Suppose 0 = -4*u - 4*d, 32*u + 12 = 35*u - 3*d. Factor -4*s**2 + 4*s + 106*s**u - 18*s + 50*s**3 + 18*s.
2*s*(s + 2)*(25*s + 1)
Let m(s) = -s**2 - 35*s. Let a(r) = -r - 1. Let k be a(4). Let f(o) = -1689765 + 35*o + 1689765. Let z(q) = k*m(q) - 4*f(q). Factor z(w).
5*w*(w + 7)
Let p(x) = 27*x - 25. Suppose 0 = 39*j - 18 - 21. Let l be p(j). Find c such that 0 - 1/5*c + 1/5*c**l = 0.
0, 1
Suppose -404*h**2 - 878/5*h**3 - 576/5*h + 0 - 6/5*h**4 = 0. What is h?
-144, -2, -1/3, 0
Let g be -2 + -1 - (-3 - 5). Suppose 2*p - 4*p - 1 = -k, -16 = -g*k - p. Factor -25*m**k - 1 + 2 + m + 24*m**3 - m**2.
-(m - 1)*(m + 1)**2
Suppose -4*q + 23 = 5*y, 0 = -3*q + 4*y - 7 + 1. Suppose -3*b - f - 1 = 0, -4 = 2*b + 4*f - 0*f. Factor 6*r**q + b + 4*r - 2*r - 4.
2*(r + 1)*(3*r - 2)
Let t(f) be the third derivative of -f**6/300 + f**5/100 + 59*f**4/120 - f**3 + 761*f**2. Solve t(d) = 0 for d.
-5, 1/2, 6
Let x be