e l(-18). Let c be r/(-3)*3/((-144)/(-4)). Find o, given that -c*o**5 + 0*o + 9/4*o**4 + 0 + 3/4*o**2 - 9/4*o**3 = 0.
0, 1
Suppose 3*n - 3*i + 2 = 2*n, -2*i - 15 = -3*n. Let c be (2/(-3))/(n/(-21)). Find z such that 4/17*z + 0 - 2/17*z**c = 0.
0, 2
Let n = 69/11 - 1223/209. Factor -6/19*v**2 + n*v - 2/19.
-2*(v - 1)*(3*v - 1)/19
Let k be -8 - (88/11 + -20 - -4). Solve -6/5*g + 42/5*g**4 - 27/5*g**2 - 9/5*g**3 + k = 0.
-1/2, -2/7, 0, 1
Let l(x) be the third derivative of -x**8/672 - 22*x**7/105 - 923*x**6/120 + 33*x**5 - 675*x**4/16 + 118*x**2. Factor l(f).
-f*(f - 1)**2*(f + 45)**2/2
Let n(o) be the third derivative of o**7/420 - o**6/80 - 2*o**2 - 16*o. Suppose n(k) = 0. What is k?
0, 3
Let x(n) be the first derivative of n**3 + 159*n**2/2 - 162*n - 296. Factor x(s).
3*(s - 1)*(s + 54)
Let c be 0/((-17)/(119/21)). Let b(r) be the first derivative of -3/16*r**4 + c*r**3 + 0*r**2 + 8 + 0*r. Factor b(g).
-3*g**3/4
Let g = -1739/7 + 1755/7. Factor 32/7 - g*x + 2/7*x**2.
2*(x - 4)**2/7
Let v(h) = -h**3 - h**2 + h - 1. Let n(c) = 4*c**3 + 2*c**2 - 3*c + 3. Suppose -13*m + 8 = -5. Let y(u) = m*n(u) + 3*v(u). Factor y(w).
w**2*(w - 1)
Determine q so that -12/5*q**2 + 6/5*q**4 + 12/5*q - 9/5*q**3 + 3/5*q**5 + 0 = 0.
-2, 0, 1
Let 11*y**2 - 68*y**2 + 37*y**3 + 17*y - 16 + 15*y + 22*y + 3*y**4 - 21*y**3 = 0. What is y?
-8, 2/3, 1
Let w(p) be the third derivative of -4/15*p**3 + 0 + 1/5*p**4 + 1/50*p**6 + 4*p**2 - 13/150*p**5 + 0*p - 1/525*p**7. Factor w(h).
-2*(h - 2)**2*(h - 1)**2/5
Let k be 4/4 - (0 - -3 - 4). Factor -36*w + 58*w**k + 23 - 3*w**3 - 40*w**2 + 1.
-3*(w - 2)**3
Let i(t) be the third derivative of t**7/147 + t**6/35 + 2*t**5/105 - 76*t**2. Factor i(z).
2*z**2*(z + 2)*(5*z + 2)/7
Let o = 7/2 + -10/3. Let t(u) be the second derivative of -6*u + 0 + 0*u**2 - o*u**4 + 0*u**3 + 0*u**5 + 1/15*u**6. Factor t(f).
2*f**2*(f - 1)*(f + 1)
Let l(n) be the third derivative of -n**8/6720 - n**7/420 + n**5/30 - 3*n**2. Let w(c) be the third derivative of l(c). Solve w(s) = 0 for s.
-4, 0
Let u(z) be the third derivative of -z**7/1260 + z**6/180 - z**5/120 - z**4/36 + z**3/9 + 19*z**2 - z. Factor u(h).
-(h - 2)**2*(h - 1)*(h + 1)/6
Let w = -968 - -971. Suppose 0 + 5/8*z**2 + 3/8*z**w + 1/4*z = 0. Calculate z.
-1, -2/3, 0
Suppose -8 = -4*n - 0. Determine a, given that -a**4 + 75*a - a**3 - 78*a + 6*a**3 - a**n + 2 - 2*a**3 = 0.
-1, 1, 2
Let o be (30/(-50))/((-4)/30)*2. Suppose 0 = 4*s - s - o. What is b in 1/5*b**2 + 0 + 1/5*b**s + 0*b = 0?
-1, 0
Suppose -5*a + 2*w - w - 88 = 0, 2*a + 4*w + 44 = 0. Let t be 17/6 - 3/a. Factor -13 + 19 + 3*c**2 - 3*c**t - 6.
-3*c**2*(c - 1)
Let m be 4/1 - (19 - 12). Let i = m + 7. Suppose 2 - i*r**2 - 1 + 2*r**4 + 1 = 0. Calculate r.
-1, 1
Let m(u) = 8*u**3 + u**2 - 2*u - 4. Let j(o) = -8*o**3 - o**2 + 3*o + 6. Let w(f) = 2*j(f) + 3*m(f). Suppose w(h) = 0. Calculate h.
-1/8, 0
Let t(c) = c**3 - 5*c**2 + c + 2. Let l be t(6). Let j = l - 30. Suppose j*u + 2*u**3 + 10*u - 5*u**2 - 1 - 20*u = 0. What is u?
1/2, 1
Let i be -1 + 1 - (4 - 1). Let a(w) = w**3 + 4*w**2 - 6. Let h be a(i). Suppose 3/2*p**5 + 6*p**2 - h*p**4 - 3 - 3*p**3 + 3/2*p = 0. Calculate p.
-1, 1, 2
Let q(f) be the third derivative of f**8/336 + 5*f**7/168 + 7*f**6/72 + f**5/8 + 22*f**3/3 - 3*f**2. Let g(t) be the first derivative of q(t). Factor g(b).
5*b*(b + 1)**2*(b + 3)
Suppose 0*l - 3*l = -s - 8, -2*s + 6 = 5*l. Suppose 4*i - 185 = 5*z, 145 - 36 = l*i + 3*z. Factor 22*x + 5*x + i + 2*x**2 - 7*x.
2*(x + 5)**2
Factor 1/3*u**2 + 432 - 24*u.
(u - 36)**2/3
Suppose -20 = 2*m + 4*l, 7 - 22 = 4*m + 3*l. Let n be -5 - 798/(-154) - (-16)/154. Let m*s**2 - 2/7*s**3 - n*s**4 + 0*s + 0 = 0. What is s?
-1, 0
Let u(d) be the third derivative of d**6/60 + 4*d**5/15 + 17*d**4/12 + 10*d**3/3 - 2*d**2 - 29*d. Find g such that u(g) = 0.
-5, -2, -1
Suppose -2*y + 3*h - 6*h + 1362 = 0, 5*h = -2*y + 1370. Factor -3*o**2 - 25*o - 36*o - y - 29*o.
-3*(o + 15)**2
Suppose 1/4*v**2 + 625 - 25*v = 0. Calculate v.
50
Solve 1/3*i - 2/3 + 1/3*i**2 = 0.
-2, 1
Let i = -4596 + 4598. Factor -12/11*u - 6/11 - 6/11*u**i.
-6*(u + 1)**2/11
Let k = 2050 + -10244/5. Let p(j) = j**2 + 6*j + 2. Let m be p(-6). Let 0 - k*u + 3/5*u**m = 0. Calculate u.
0, 2
Let c(u) = -19*u**2 + u - 5. Let w(m) = 5*m**2 + 1. Let p(l) = 4*c(l) + 18*w(l). Let t(q) = 28*q**2 + 8*q - 5. Let i(g) = -5*p(g) + 2*t(g). Factor i(b).
-2*b*(7*b + 2)
Find y such that -2/7*y**2 + 76/7*y + 0 = 0.
0, 38
Let s(m) be the second derivative of 0 + 5/2*m**3 + 3*m**2 + m**4 + 3*m + 3/20*m**5. Suppose s(g) = 0. What is g?
-2, -1
Let y = 9481/180 - 158/3. Let a(t) be the third derivative of 0*t + 1/630*t**7 + 1/180*t**5 + y*t**6 + t**2 + 0*t**3 + 0 + 0*t**4. Factor a(l).
l**2*(l + 1)**2/3
Let -11*m**3 + 56*m - 3*m**3 + 7*m**3 + 27*m**2 + m**3 + 53*m**2 = 0. What is m?
-2/3, 0, 14
Let x(i) be the third derivative of 10*i**2 + 0*i**3 - 3/8*i**4 - 1/40*i**6 + 0*i + 0 + 1/5*i**5. Solve x(k) = 0.
0, 1, 3
Solve 210*g - 59/4*g**2 + 225 + 1/4*g**3 = 0 for g.
-1, 30
Let m(w) = -2*w**2 - 9*w + 9. Let d be m(-5). Let -32*y**d - 12*y**5 - 34*y**3 + 16*y**3 + 14*y**3 + 16*y + 32*y**2 = 0. Calculate y.
-2, -1, -2/3, 0, 1
Let f be 15*3/(-54) + (-28)/(-30). Let u(n) be the second derivative of -f*n**4 + 3*n + 0 - 1/5*n**2 + 4/15*n**3. Determine h, given that u(h) = 0.
1/3, 1
Determine d, given that 89 + 108*d - 15*d**3 - 38 + 264*d**2 - 51 = 0.
-2/5, 0, 18
Suppose 5*f + 2 = 2*x - 24, 0 = -3*f + 6. Suppose x = 8*z - 14. Factor 0*q + 2/3*q**3 + 0 + 0*q**2 - 1/3*q**z.
-q**3*(q - 2)/3
Suppose -8*i = -11 - 21. Suppose 0*u = -3*x - i*u + 10, 0 = -x + 2*u. Determine p so that 1/2 - 9/4*p - 11/4*p**x = 0.
-1, 2/11
Find l, given that -648*l - 8*l**5 - 10*l**3 + 45*l**4 + 648*l - 27*l**5 = 0.
0, 2/7, 1
Factor 4/5*l**4 + 0*l + 2/5*l**2 + 0 - l**3 - 1/5*l**5.
-l**2*(l - 2)*(l - 1)**2/5
Suppose 14 + 28 = 6*y. Let l be y - (28/4 - 2). Find c such that 0*c + 0 + 2/3*c**l + 2*c**4 + 2*c**3 + 2/3*c**5 = 0.
-1, 0
Let i = -95 - -142. Factor -2 + 93*z**3 + 6*z**2 - 2*z**4 - 47*z**3 - z - i*z**3.
-(z - 1)**2*(z + 2)*(2*z + 1)
Let g(v) be the second derivative of -25*v + 1/120*v**6 + 0*v**2 + 1/48*v**4 + 0*v**3 - 1/40*v**5 + 0. Factor g(y).
y**2*(y - 1)**2/4
Let i(n) = -23*n**2 + 112*n. Let p(a) = -20*a**2 + 110*a. Let r(x) = 5*i(x) - 6*p(x). Factor r(z).
5*z*(z - 20)
Let z(m) = -3*m**2 + 18. Let f(b) = -485*b**2 + 2750. Let u(v) = -69*v**2 + 393. Let s(d) = -2*f(d) + 15*u(d). Let r(k) = 2*s(k) - 45*z(k). Factor r(g).
5*(g - 2)*(g + 2)
Let p(c) be the first derivative of 2*c**5/5 - c**4/2 - 2*c**3/3 + c**2 + 23. Let p(q) = 0. What is q?
-1, 0, 1
Factor 304/9 - 4/9*z**2 - 20/3*z.
-4*(z - 4)*(z + 19)/9
Let s(x) be the third derivative of x**8/2016 - x**7/126 + x**6/90 + x**5/36 - x**4/16 + 2*x**2 - 144. Solve s(f) = 0.
-1, 0, 1, 9
Suppose -2*p**2 - 29330*p**3 + 29327*p**3 - p**4 + p**5 + 3*p**2 + 2*p = 0. Calculate p.
-1, 0, 1, 2
Let m(n) be the first derivative of -5*n**4/84 + 4*n**3/21 + 2*n**2/7 - 15*n - 2. Let c(u) be the first derivative of m(u). Factor c(a).
-(a - 2)*(5*a + 2)/7
Let a = -193/2 - -395/4. Factor -3/2 - 3/4*t**2 - a*t.
-3*(t + 1)*(t + 2)/4
Suppose -3*j = -3*y, 10 = -4*y + 26. Determine p, given that 67*p**2 - 72*p**2 - 5*p + p**3 + 5*p**4 + j*p**3 = 0.
-1, 0, 1
Let k(x) be the first derivative of x**7/6 - 19*x**6/24 + 2*x**5/3 + 5*x**4/6 - 3*x**2/2 + 10. Let c(y) be the second derivative of k(y). Factor c(s).
5*s*(s - 2)*(s - 1)*(7*s + 2)
Let x = -2300/77 - -338/11. Suppose 8/7*u + x + 2/7*u**2 = 0. What is u?
-3, -1
Let b = -951 - -953. Let d(q) be the second derivative of -1/7*q**7 + 0*q**4 - 5*q + 0*q**b + 0*q**5 + 0*q**3 + 0 + 2/15*q**6. Factor d(m).
-2*m**4*(3*m - 2)
Let c be (-445898)/13629 + (-3 - 0). Let u = -5/1947 - c. Factor -120/7*h + 16/7 + 300/7*h**2 - u*h**3.
-2*(5*h - 2)**3/7
Let o(c) be the third derivative of -c**7/210 - 11*c**6/30 - 263*c**5/30 - 77*c**4/2 - 147*c**3/2 - 135*c**2. Determine t, given that o(t) = 0.
-21, -1
Let c(o) be the second derivative of -1/18*o**4 - 13*o + 0*o**2 + 0 - 1/9*o**3. Suppose c(p) = 0. What is p?
-1, 0
Suppose 2*a - 3*a = -2*a. Suppose a = -3*u + k + 11, -6*u + 19 = -4*u - 3*k. What is t in 7/10*t**3 - 1/5*t**u + 0 + 0*t = 0?
0, 2/7
Let g(d) = -d**3 + 2*d**2 + 3. Let k(i) = -6*i**3 + 183*i**2 + 168*i + 