ond derivative of x(o). Factor k(l).
l**3/3
Let l(n) be the second derivative of 0 - 1/9*n**4 + 100*n + 1/9*n**3 - 1/30*n**5 + 1/90*n**6 + 1/2*n**2. Factor l(t).
(t - 3)*(t - 1)*(t + 1)**2/3
Let s(x) be the first derivative of -x**5/15 + x**4/4 + 2*x**3/3 - 4*x**2/3 - 503. Factor s(i).
-i*(i - 4)*(i - 1)*(i + 2)/3
Let v be (-4)/(1584/(-238)) - (1 - (-5)/(-11)). Let m(g) be the second derivative of -v*g**3 - 9*g + 1/36*g**4 + 0 + 0*g**2. Suppose m(f) = 0. What is f?
0, 1
Let r be ((-2)/10)/((-195)/41925). Suppose -r*y + 14*y = -17*y. Suppose 5/9*l**4 - 2/3*l**3 + y*l**2 + 0 + 0*l + 1/9*l**5 = 0. Calculate l.
-6, 0, 1
Let r be 1930/28 - (-2)/28. Suppose 0 = -29*i + r - 11. What is o in -2 - 1/2*o**i + 5/2*o = 0?
1, 4
Factor 185*c**2 + 15*c**4 + 117*c**3 + 72*c - 6036*c**5 - 6032*c**5 + 12067*c**5 + 12*c.
-c*(c - 21)*(c + 1)**2*(c + 4)
Suppose 12 = -3*s, -3*s + s = -5*h + 18. Let u(f) = -7*f**2 + 2*f - 12*f**h - 3*f + 20*f**2. Let o(r) = 5*r**2 - 3*r. Let y(m) = -o(m) + 3*u(m). Factor y(z).
-2*z**2
Let a = -2468/5 + 496. Let t be 1 + 42/(-39) + (-29106)/(-14014). Factor 0 - a*j - 4/5*j**t.
-4*j*(j + 3)/5
Let l(p) = p**2 + 48*p - 192. Let a be -45 + (6/(-9) - (-2)/(-6)). Let x = a - -50. Let b(m) = 48*m - 192. Let f(z) = x*b(z) - 3*l(z). Factor f(g).
-3*(g - 8)**2
Let d(b) be the first derivative of -b**6/540 - 13*b**5/270 - b**4/9 - 27*b**2 - 120. Let l(f) be the second derivative of d(f). Find m such that l(m) = 0.
-12, -1, 0
Let q(n) be the third derivative of -n**6/40 + 29*n**5/10 + 64*n**4 + 528*n**3 + 302*n**2 + 14. Factor q(f).
-3*(f - 66)*(f + 4)**2
Let a(p) = -17*p**2 + 185*p - 794. Let g(r) = 4*r**2 - 2. Let l(n) = a(n) + 3*g(n). Solve l(h) = 0.
5, 32
Let a(r) = 8*r**2 - 35*r - 43. Let q be (24/(-20))/((-2)/15). Suppose -42 = 16*p - q*p. Let x(j) = -2*j**2 + 9*j + 11. Let w(o) = p*a(o) - 26*x(o). Factor w(h).
4*(h - 7)*(h + 1)
Suppose 0 = 2*n - k - 7, 4*n - 17 = 4*k - 1. Factor -n - 6*v + 0*v + 5 + 5*v - v**2.
-(v - 1)*(v + 2)
Determine k, given that 275/3 + 5/3*k**2 - 80/3*k = 0.
5, 11
Let g(b) be the first derivative of -1/20*b**5 + 23 + 5/6*b**3 - 23*b - 3/2*b**2 - 1/12*b**4. Let a(c) be the first derivative of g(c). What is s in a(s) = 0?
-3, 1
Let n = -183429/14 + 91851/7. Suppose -n + 21*d - 3/2*d**2 = 0. What is d?
1, 13
Solve 1/2*y**2 + 18*y - 80 = 0.
-40, 4
Let x = -3729 - -3731. Let o(t) be the third derivative of -7/15*t**7 + 0*t - 39*t**2 + 0*t**3 - x*t**5 + 0 + 2/3*t**4 + 21/10*t**6. Factor o(h).
-2*h*(h - 2)*(7*h - 2)**2
Let 2/5*h**4 - 224/5*h**2 - 589/5*h**3 + 444*h + 144/5 + 31/5*h**5 = 0. Calculate h.
-3, -2/31, 2, 4
Let a(x) be the first derivative of x**3/9 + 31*x**2/6 + 56*x - 2662. Suppose a(u) = 0. What is u?
-24, -7
Let a(s) be the third derivative of -11/108*s**4 + 0 - 2/27*s**3 + 13/270*s**5 + 50*s**2 + 0*s. Factor a(n).
2*(n - 1)*(13*n + 2)/9
Let n be ((-20042)/55)/(2/5). Let b = n - -915. Factor 0*p**2 + 3*p**3 + 0 + 0*p + 3/2*p**b.
3*p**3*(p + 2)/2
Let x = 2399/5290 - 187/529. Factor x*i**2 + 2/5 + 2/5*i.
(i + 2)**2/10
Let f = 8062 + -8057. Let l(d) be the second derivative of 0 + 6*d + 0*d**2 - 1/5*d**f + 1/18*d**6 + 0*d**3 + 1/9*d**4. Factor l(x).
x**2*(x - 2)*(5*x - 2)/3
Let f(g) be the second derivative of 3*g**5/40 - 29*g**4/8 - 31*g**3/2 + 579*g. Find y such that f(y) = 0.
-2, 0, 31
Let v(m) be the first derivative of 5*m**4/4 - 175*m**3/3 - 805*m**2/2 + 975*m - 7482. Suppose v(f) = 0. Calculate f.
-5, 1, 39
Let x = 7 - 2. Suppose 3*b - b - 7 = g, 4*b - 5*g = 11. Let 30*p**b + 0*p**5 + 40*p**2 - 20*p**3 - 7*p**3 - 33*p**3 - x*p**5 = 0. Calculate p.
0, 2
Let j(g) = g**2 + 33*g + 234. Let t be j(-23). Let s be (5 + -2)*(-2)/(-3). Factor 14*a**2 + a**s + 98*a**t - 56*a**3 - 7*a**2.
2*a**2*(7*a - 2)**2
Let u = -626 - -632. Let -5*g**3 + 0*g**4 - u*g**2 + 5*g**5 + 10*g**2 - g**5 - 4*g**4 + g**3 = 0. What is g?
-1, 0, 1
Let w(s) be the third derivative of s**5/15 + 227*s**4/6 + 452*s**3/3 - 2*s**2 + 539. Determine i, given that w(i) = 0.
-226, -1
Let r be ((-328)/(-72) - 3)*(-48)/(-21). Factor 2/9*p**2 + 0*p - r.
2*(p - 4)*(p + 4)/9
Suppose -24*a - 33*a + 42 = -43*a. Factor -7/4*k**2 + 1/4*k**a + 4*k - 3.
(k - 3)*(k - 2)**2/4
Let w(b) be the second derivative of b**7/42 - 2*b**6/15 - 11*b**5/20 + 11*b**4/2 - 12*b**3 - b - 9520. Suppose w(p) = 0. Calculate p.
-4, 0, 2, 3
Let k be (-2 - -29) + (37 - 47). Suppose q - 28 = -4*b - b, -4*q = b - k. What is s in -12/7*s**2 + 12/7*s**4 + 0 + 4/7*s**q - 8/7*s + 4/7*s**5 = 0?
-2, -1, 0, 1
Suppose 0 = 4*w - 2*k - 2222, 4*w + 18*k - 23*k = 2225. Let g be ((-148)/w)/((-2)/15). Determine s so that 1/12*s**g - 1/12 + 0*s = 0.
-1, 1
Let h(a) = -4*a**3 + 33*a**2 - 5*a - 26. Let w be h(8). Let x be (w/(-7) + (-112)/49)*-2. Factor 16/3*g + x*g**3 + 8*g**2 + 0 + 2/3*g**4.
2*g*(g + 2)**3/3
Factor -11 + 195/2*a - 34*a**2.
-(4*a - 11)*(17*a - 2)/2
Let a(u) be the second derivative of 1 - 4/285*u**6 - 6/95*u**5 + 9/19*u**2 - 4*u + 4/19*u**3 - 5/114*u**4. Let a(n) = 0. Calculate n.
-3/2, -1, 1
Let s(i) = -22*i**3 + i**2. Let u be s(1). Let n(o) = o**3 + 21*o**2 - 14*o + 26. Let v be n(u). What is x in -70*x + 5*x**2 - 117*x + 107*x + v = 0?
8
Let q be (4 - 3)/(4/(-12)) - -46. Let g = -43 + q. Let -2*k**4 + 24*k**3 + 17 + g*k**4 - 104*k**2 - 145 + 192*k = 0. Calculate k.
2, 4
Let w = -287004 - -287007. Let -42*d**2 - 39*d**w - 12*d + 27/2*d**5 + 9/2*d**4 + 0 = 0. What is d?
-1, -2/3, 0, 2
Suppose -4*r + 27*k - 4 = 31*k, -2*r - 3*k - 7 = 0. Suppose j - 7 + 0 = 2*v, -2*v = r. Factor 11/4*a**j + 0 + 4*a**4 + 1/2*a**2 + 0*a + 7/4*a**5.
a**2*(a + 1)**2*(7*a + 2)/4
Let b(v) be the third derivative of -35/24*v**4 + 5/2*v**3 + 0 + 1/6*v**5 + 6*v**2 + 0*v. Determine j so that b(j) = 0.
1/2, 3
Suppose -21*d + 34 = 160. Let k be (-2)/(-3) - ((-49)/d - 8). Let 1/2*x**2 + k*x + 0 = 0. What is x?
-1, 0
Let f(p) = p**2 + 19*p - 7. Let r be f(-19). Let s(d) = d**3 - 11*d**2 + 53*d. Let z(l) = 4*l**2 - 18*l. Let c(h) = r*z(h) - 2*s(h). What is g in c(g) = 0?
-5, 0, 2
Let i(x) be the first derivative of -22*x**5/65 + 17*x**4/26 + 14*x**3/13 - 17*x**2/13 - 20*x/13 + 5197. Solve i(k) = 0.
-1, -5/11, 1, 2
Let d(q) = -2*q - 3. Let l be d(3). Let o be (24/l)/(10/(-15)). Suppose -8*r + 33*r**2 - 64*r**2 - o + 27*r**2 = 0. Calculate r.
-1
Suppose 4*v - 7*v = -6. Factor a**v + 35 - 18*a - 24 + 70.
(a - 9)**2
Let b be (-6)/(-20)*(-329452)/69*-85. Factor 75*x - 121754 + b + 5*x**2.
5*x*(x + 15)
Find c such that -1/3*c**5 - 1970/3*c**2 - 2100*c + 27000 + 4*c**4 + 53*c**3 = 0.
-9, 10
Let w be 3 - (-2 - (-2 + 3)). Suppose -290*d - 12 = -296*d. Let -4 - 6*z - z**2 + 2*z**2 + w*z**2 + 8*z**3 - 3*z**2 - d*z**5 = 0. What is z?
-1, 1, 2
Let i(n) be the third derivative of 0*n + 0 - 1/20*n**5 - 197*n**2 + 9/4*n**4 - 45/2*n**3. Solve i(p) = 0.
3, 15
Let j(s) be the second derivative of -s**6/6 - s**5 + 75*s**4/4 + 90*s**3 - 1350*s**2 - 1669*s. Solve j(c) = 0 for c.
-6, 3, 5
Let c(n) = -n**3 - 6*n**2 - 6*n - 2. Let w be c(-5). Suppose b + w*q - 12 = -0*b, 5*q = 0. Determine v so that 6*v**2 - 2*v**4 - b + 4*v + 12 = 0.
-1, 0, 2
Let z(i) be the third derivative of -i**5/180 - 293*i**4/18 - 171698*i**3/9 + 22*i**2 + i - 15. Suppose z(b) = 0. What is b?
-586
Suppose -187 = -20*k - 127. Let m(f) be the third derivative of 15*f**2 + 0*f - 1/60*f**4 + 1/100*f**6 + 2/75*f**5 - 2/15*f**k + 0. Factor m(w).
2*(w + 1)**2*(3*w - 2)/5
Let d(r) = 3*r**3 - 10*r**2 + 6*r - 20. Let y be d(4). Let n be 768/45 + y/(-90). Factor n - 20/3*k + 2/3*k**2.
2*(k - 5)**2/3
Suppose 42 = -5*q + 12*q. Suppose -r - r = -q. Factor 0*k**2 + 10*k**2 - 6*k + 2*k**4 - 8*k**r + 2*k.
2*k*(k - 2)*(k - 1)**2
Let l(k) be the second derivative of 13*k**6/1260 + k**5/60 - k**4/14 + 53*k**3 - 23*k - 2. Let i(n) be the second derivative of l(n). Solve i(f) = 0.
-1, 6/13
Find i such that 15*i + 10*i + 61 + i**2 + 147 - 3*i**2 + 19*i = 0.
-4, 26
Let j(f) be the first derivative of -2*f**3/33 + 123*f**2/11 - 244*f/11 - 757. Factor j(i).
-2*(i - 122)*(i - 1)/11
Let u = 442/5 + -88. Suppose -56*r - 16812 = -16980. Suppose 1/10*v**r - 3/5*v**2 + 9/10*v - u = 0. What is v?
1, 4
Let a be (2016/480)/(28/40). Let c(w) be the second derivative of 2/9*w**2 - 5/27*w**3 + 1/90*w**5 - 39*w + 0 - 1/135*w**a + 1/18*w**4. Factor c(h).
-2*(h - 1)**3*(h + 2)/9
Let f(h) be the third 