first derivative of -v**4/2 + 30*v**3 - 71*v**2 - 1290*v + 2932. Factor c(l).
-2*(l - 43)*(l - 5)*(l + 3)
Let r(o) = -8*o**5 - 25*o**4 - 30*o**3 - 13*o**2 - 1. Let g(k) = -4*k + 4*k + 7 - k**2 - 2*k - 6 - k**4. Let v(z) = -g(z) - r(z). What is a in v(a) = 0?
-1, -1/4, 0
Suppose 207*v - 206*v + 3*h + 37 = 0, 62 = 5*v - 4*h. What is x in -12*x**v - 1/4*x**3 - 192*x - 1024 = 0?
-16
Suppose 3*o + 0*o - 72 = 0. Solve o*v**4 + 1576*v - 5*v**5 - 9*v**3 - 7*v**5 - 1576*v = 0.
0, 1/2, 3/2
Suppose 5*w - 54 + 19*w - 31*w**2 + 19*w**2 + 14*w**2 - 74 = 0. Calculate w.
-16, 4
Let z(c) be the third derivative of -c**8/2016 + c**7/84 + 7*c**6/80 - 167*c**5/360 + 5*c**4/8 - 44*c**2 + 5*c. Determine j so that z(j) = 0.
-5, 0, 1, 18
Let f be (-1 - -4)*(-2530)/66. Let o be -5 + f/(-25) + (-64)/(-60). What is b in -1/3*b**3 + 0 + 1/3*b**2 + o*b = 0?
-1, 0, 2
Let i = 242 + -238. What is r in -64*r**3 + i*r**5 + 256 + 226*r - 49*r**2 - 15*r**2 - 34*r = 0?
-2, 2, 4
Factor 1/3*j**2 - 1220/3 + 301/3*j.
(j - 4)*(j + 305)/3
Let r = 29288/15 - 1952. Let p(a) be the second derivative of r*a**3 - 1/15*a**4 - 8/5*a**2 + 12*a + 0. Factor p(k).
-4*(k - 2)**2/5
Let v(i) be the third derivative of -i**5/90 + 113*i**4/18 + 229*i**3/3 - 79*i**2 + 4. Solve v(q) = 0 for q.
-3, 229
Let w(z) be the second derivative of -z**7/840 + z**6/30 - 7*z**4/12 - 81*z. Let f(u) be the third derivative of w(u). Factor f(i).
-3*i*(i - 8)
Let z(s) be the second derivative of 0 + 1/48*s**4 - 1/8*s**2 + 1/80*s**5 - 20*s - 1/24*s**3. Factor z(g).
(g - 1)*(g + 1)**2/4
Suppose 2*u = 2*i + 23 - 35, -5*i - 2*u + 23 = 0. Let z(n) be the first derivative of -27/4*n - 11/2*n**3 - 9*n**2 - 3/2*n**4 - 3/20*n**i + 11. Factor z(p).
-3*(p + 1)**2*(p + 3)**2/4
Let m(f) be the second derivative of -2*f**6/15 + 68*f**5/5 - 109*f. Suppose m(x) = 0. Calculate x.
0, 68
Let a(u) be the third derivative of -2/735*u**7 + 0 - 2/105*u**6 + 0*u**3 + 11/105*u**5 - 1/7*u**4 - 31*u**2 + 0*u. Factor a(r).
-4*r*(r - 1)**2*(r + 6)/7
Let m(g) = -5*g + 5. Let l be m(-3). Suppose 8 = 2*w - 2*o, 7*o = 3*w + 2*o - l. Find r such that w*r**4 - 4*r**5 - 19*r**3 + 17*r**3 + 2*r**5 - 4*r**4 = 0.
-1, 0
Let c be 0/(-13)*(((-168)/(-7))/(-3) + 7). Factor c - 8/9*s - 2/9*s**2.
-2*s*(s + 4)/9
Let l be 31/6 - 5895/1310. Find o such that 0*o + 2/3 - l*o**2 = 0.
-1, 1
Let b(h) be the second derivative of h**4/21 + 1124*h**3/21 + 157922*h**2/7 - 2*h - 114. Factor b(z).
4*(z + 281)**2/7
Factor -53*r - 5616 - 5671 - r**2 + r**2 + r**2 + 11339.
(r - 52)*(r - 1)
Suppose -10*l + 19*l = 486. Suppose l = -11*o + 252. Factor -12 - 3/2*b**3 - 9*b**2 - o*b.
-3*(b + 2)**3/2
Factor -37/2*x + 0 + 1/4*x**4 - 109/4*x**2 - 17/2*x**3.
x*(x - 37)*(x + 1)*(x + 2)/4
Let o be (-5 + 6)/1*(-59 + 0). Let d = 61 + o. Factor -24*q**d - q - 3*q + 9 - 5 - 2*q - 14*q**3.
-2*(q + 1)**2*(7*q - 2)
Solve 48 - w**2 + 13 + 20 + 2*w**2 - 21*w + 9 = 0.
6, 15
Let m be (((-51)/(-6))/17)/(10/60). What is h in 105*h**5 - 48/5 - 48*h + 24/5*h**2 + 345*h**4 + 1416/5*h**m = 0?
-2, -1, -2/5, -2/7, 2/5
Let d(y) be the third derivative of 5/36*y**4 - 17/36*y**5 + 20/9*y**3 + 1 + 17*y**2 + 1/42*y**7 + 0*y - 1/9*y**6. Find v, given that d(v) = 0.
-1, 2/3, 4
Let d(p) = 732*p + 2928. Let u be d(-4). Solve -2*r**4 + 0 + 1/4*r**2 + u*r - 7/4*r**3 = 0 for r.
-1, 0, 1/8
Let o(c) be the first derivative of 15 + 12*c - 1/6*c**3 - 1/3*c**4 - 1/20*c**5 + 3*c**2. Let g(a) be the first derivative of o(a). Factor g(u).
-(u - 1)*(u + 2)*(u + 3)
Let d(r) be the second derivative of 5*r**4/12 + 1405*r**3/3 + 394805*r**2/2 + 179*r. Suppose d(h) = 0. What is h?
-281
Let c = 628664/5 + -125732. Factor 2/5*z**2 + 1/5*z**3 + c - 7/5*z.
(z - 1)**2*(z + 4)/5
Let g(w) be the second derivative of -w**4/3 - 773*w**3/3 - 597529*w**2/8 - 2043*w. Let g(z) = 0. Calculate z.
-773/4
Let 11*u**3 - 4*u**3 - 56055*u - 308025 - 272*u**2 + 1357*u**2 - 12*u**3 = 0. Calculate u.
-5, 111
Let v(z) = z - 5. Let r(i) = -12*i**2 + 416*i - 1684. Let w(u) = r(u) - 12*v(u). Factor w(j).
-4*(j - 29)*(3*j - 14)
Let o(u) be the third derivative of -u**8/168 + 47*u**7/105 - 73*u**6/6 + 717*u**5/5 - 3591*u**4/4 + 3249*u**3 + 4823*u**2. Determine s, given that o(s) = 0.
3, 19
Let w(y) be the second derivative of -y**6/330 + y**5/55 + y**4/22 - 6*y**3/11 + 27*y**2/22 + 1119*y - 2. What is a in w(a) = 0?
-3, 1, 3
Factor -54120*l - 9000 - 408602/5*l**2 - 18/5*l**4 - 5412/5*l**3.
-2*(l + 150)**2*(3*l + 1)**2/5
Let x(d) = -d**2 - 7*d + 2. Let a be x(-7). Suppose 18 = -a*u + 4*u. Factor 2*f**2 - f**3 + 16*f - f - u*f**3 - 10 + 13*f**2.
-5*(f - 2)*(f + 1)*(2*f - 1)
Let x = -3543 - -3547. Let y(b) be the third derivative of -20*b**2 + 0*b**3 - 1/18*b**x + 0 - 1/135*b**5 + 0*b. Factor y(l).
-4*l*(l + 3)/9
Let x = 886693 - 886693. Let -1/6*b**3 + 1/6*b**2 + 0 + x*b = 0. Calculate b.
0, 1
Factor 12/5*f**2 + 0 + 1/10*f**3 + 63/10*f.
f*(f + 3)*(f + 21)/10
Let q be (-40)/7 + 6 + (-24)/(-14). Find c such that 60*c**2 - 24*c**q - 35*c**2 - 25*c = 0.
0, 25
Let a(t) be the first derivative of -t**7/21 - 23*t**6/60 + t**5/3 + 149*t**2/2 + 27. Let o(d) be the second derivative of a(d). Factor o(v).
-2*v**2*(v + 5)*(5*v - 2)
Let z(j) be the second derivative of j**6/165 + j**5/10 - 25*j**4/66 + 13*j**3/33 + 11*j + 1. Determine n so that z(n) = 0.
-13, 0, 1
Let t(a) be the first derivative of a**7/1050 - a**6/90 - a**5/150 + a**4/6 + 83*a**3/3 - 99. Let c(k) be the third derivative of t(k). Factor c(s).
4*(s - 5)*(s - 1)*(s + 1)/5
Let c(t) be the second derivative of t**7/7560 - t**6/216 - 11*t**5/360 + 91*t**4/12 + 2*t + 15. Let k(g) be the third derivative of c(g). Factor k(i).
(i - 11)*(i + 1)/3
Let i(t) be the third derivative of t**7/105 + 13*t**6/2 + 8345*t**5/6 + 60125*t**4 + 3422500*t**3/3 + 56*t**2 + 3*t + 2. Factor i(l).
2*(l + 10)**2*(l + 185)**2
Let g(a) be the second derivative of -a**6/55 + a**5/11 + 65*a**4/66 + 80*a**3/33 + 28*a**2/11 - 1010*a. Suppose g(q) = 0. What is q?
-2, -1, -2/3, 7
Let g(m) be the third derivative of 0 + 0*m**4 + 3*m**2 + 0*m**3 - 47*m - 1/24*m**6 - 5/6*m**5. Factor g(x).
-5*x**2*(x + 10)
Let d(n) = 3*n**4 + 37*n**3 - 23*n**2 - 49*n + 4. Let k(c) = 42*c**4 + 516*c**3 - 327*c**2 - 687*c + 57. Let o(j) = -57*d(j) + 4*k(j). Factor o(x).
-3*x*(x - 1)*(x + 1)*(x + 15)
Let h(x) = -x**3 + 6*x**2 + 6*x + 11. Let a be h(7). Suppose 0 = a*j + 4*b, -5*j + 15 = -54*b + 56*b. Factor 3*s**4 + 1/4*s**j + 13*s**3 + 0 + 16*s + 24*s**2.
s*(s + 2)**2*(s + 4)**2/4
Let a(s) be the second derivative of -80*s + 0 + 34/3*s**3 + 36*s**2 - 1/3*s**4. Suppose a(n) = 0. Calculate n.
-1, 18
Let n(u) be the first derivative of 4*u**5/5 + 5*u**4 + 4*u**3 - 18*u**2 - 973. Factor n(g).
4*g*(g - 1)*(g + 3)**2
Suppose 15*h = 20*h + 3*r + 339, 75 = -h - 3*r. Let c be h/(-21) - (-2)/(-14). Find z, given that 0 + 8/9*z - 20/9*z**2 + 16/9*z**c - 4/9*z**4 = 0.
0, 1, 2
Let w(o) be the second derivative of o**6/105 - 4*o**5/7 + 200*o**4/21 - 1177*o - 2. Factor w(c).
2*c**2*(c - 20)**2/7
Suppose 8*k - 20 - 332 = 0. Factor -k + 8*x + 2*x**2 + 10 + 8*x + 15 - 47.
2*(x - 3)*(x + 11)
Let p(j) be the first derivative of -j**5/20 + 29*j**4/12 - 65*j**3/2 - 225*j**2/2 + 147*j + 84. Let s(a) be the first derivative of p(a). Factor s(b).
-(b - 15)**2*(b + 1)
Suppose 25*j + 1624 = 39*j. Let 6*v**3 + 8*v**4 - j*v**5 + 48 + 8*v - 20*v**2 - 24*v**2 + 114*v**5 = 0. Calculate v.
-2, -1, 2, 3
Let v = -57 - -61. Suppose -v*p = -8, h - 2 = 4*p - 6. Factor 0 + i**3 - 2*i**4 + 3*i**h + 0 - 3*i**2 - i + 2.
(i - 1)**2*(i + 1)*(i + 2)
Suppose -4 = -88*c + 86*c. Suppose -3*u + c = -2*u. Factor -890*t**u - 2*t + 885*t**2 + 27*t - 20.
-5*(t - 4)*(t - 1)
Let t be ((-28)/10)/(2/10 + 0). Let y = t - -23. Factor 0 - y + j + 11 - 3 - j**3 + j**2.
-(j - 1)**2*(j + 1)
Let y be (-24)/16 + 9/2. Let 0*i + i**4 + 2*i**3 - y*i - i**2 + i**3 + 0*i = 0. What is i?
-3, -1, 0, 1
Suppose 0 = 6*i - 10*i - 2*h + 28, 5*i - 53 = 2*h. Factor 3*j**3 + i - 57*j - 21 + 34 + 20 + 12*j**2.
3*(j - 2)*(j - 1)*(j + 7)
Let i(u) be the third derivative of -u**5/90 - 23*u**4/12 - 42*u**3 - 12*u**2 - 81*u. Factor i(k).
-2*(k + 6)*(k + 63)/3
Let k(u) be the second derivative of -1/60*u**6 - 57*u + 1/12*u**3 + 0 + 0*u**2 + 1/24*u**4 - 1/40*u**5. Solve k(s) = 0 for s.
-1, 0, 1
Let z be (0 - -1) + -1 - 0. Let q = 8/14645 + 14621/439