3)/(4/(-6)). Let g = i + -1421/2. Factor -g*k**2 + 3*k**3 - 3*k + 3/2*k**4 + 0.
3*k*(k - 1)*(k + 1)*(k + 2)/2
Let t = 112711/2 + -56355. Solve 5/2*w + 4*w**2 - 25 + t*w**3 = 0.
-5, 2
Let t(w) be the first derivative of 2*w**3/9 - 3*w**2 + 12*w - 1085. Find u such that t(u) = 0.
3, 6
Let f(r) = r**3 - r. Let g(z) = 6*z**3 - z**2 - 7*z. Let n = 40 + -12. Suppose n*v - 31*v = -3. Let x(m) = v*g(m) - 5*f(m). Find y, given that x(y) = 0.
-1, 0, 2
Let q(s) = -9*s**4 + 36*s**3 - 53*s**2 - 581*s - 768. Let x(g) = 6*g**4 - 18*g**3 + 27*g**2 + 291*g + 384. Let l(n) = 3*q(n) + 5*x(n). Factor l(z).
3*(z - 4)*(z + 2)*(z + 4)**2
Let t(i) be the second derivative of i**8/15680 + i**7/735 + i**6/80 + 9*i**5/140 - 13*i**4/2 + 80*i. Let z(g) be the third derivative of t(g). Factor z(p).
3*(p + 2)*(p + 3)**2/7
Let s = 128 + -126. Factor 12*d - 40 + 2*d**2 + 2*d**s - 3*d + 3*d.
4*(d - 2)*(d + 5)
Let z be 1 + 39/(-26)*(-68)/6. Suppose d + 5*d - z = 0. Let -2*x + 73*x**d + x**4 - 77*x**3 + 5*x**2 + 0*x**2 = 0. Calculate x.
0, 1, 2
Suppose 109*t + 24*t - 414 = 4241. Let v(c) be the second derivative of 3/20*c**5 + t*c + c**3 - 3/4*c**4 + 0*c**2 + 0. Factor v(z).
3*z*(z - 2)*(z - 1)
Find d, given that -4*d**5 + 58*d**2 + 3*d**5 + 57*d - 4583*d**4 + 17*d**3 - 73*d**3 + 4525*d**4 = 0.
-57, -1, 0, 1
Suppose l - 5 + 7 = -3*t, -3*l = 2*t - 29. Suppose 2*f - 1 = 12*o - l*o, 4*f + 10 = 2*o. Factor -4/9*a + 8/9*a**2 + 1/9*a**5 - 1/3*a**o - 2/9*a**4 + 0.
a*(a - 2)*(a - 1)**2*(a + 2)/9
Let s be -15 + (20 - (840/(-165) - -10)). Let u be ((-3)/(-22))/((-6)/(-8)). Factor s*d**3 + 1/11*d - u*d**2 + 0.
d*(d - 1)**2/11
Suppose -64*u + 10*u + 65 = -97. Let n(k) be the first derivative of 2*k**u + 3/2*k**2 + 20 + 3/4*k**4 + 0*k. Factor n(d).
3*d*(d + 1)**2
Let r(s) = -4*s - 9. Let i(j) = 4*j - 3. Let f be i(0). Let t be r(f). Factor 1 + 4*u**4 + 4*u**5 - 1 - 12*u**t - 4*u**2 + 0*u**4 + 8*u.
4*u*(u - 1)**2*(u + 1)*(u + 2)
Find u such that 76*u - 25/2*u**2 - 19*u**3 + 26 + 3/2*u**4 = 0.
-2, -1/3, 2, 13
Let q(s) = -6*s**2 - s - 1. Let c(v) = v**2 + v + 4. Let a(k) = -k**2 - 2. Let y(n) = 2*a(n) + c(n). Let z(h) = -5*q(h) + 15*y(h). Factor z(g).
5*(g + 1)*(3*g + 1)
Let p(x) be the second derivative of -23/30*x**6 + 0 - 1000*x**2 - 1/42*x**7 - 211/20*x**5 - 1100/3*x**3 + 235*x - 965/12*x**4. Factor p(c).
-(c + 4)**2*(c + 5)**3
What is u in -484/7*u + 2/7*u**2 + 0 = 0?
0, 242
Factor -550/7 - 2/7*s**2 - 72/7*s.
-2*(s + 11)*(s + 25)/7
Suppose -4*h = -20, -5*h = -3*m - 3*h + 50. Let f be (-2)/3*(12 - (-2 + m)). Factor -9/8*a**2 + 1/4*a**3 - 1/4*a + 0 + 9/8*a**f.
a*(a - 1)*(a + 1)*(9*a + 2)/8
Factor -400*a + 478*a**2 + 4046 - 483*a**2 + 856*a + 504*a + 1894.
-5*(a - 198)*(a + 6)
Let v be (7 - (0 + 4))*8. Let m be (160/448)/(5/v). Solve -m*o + 16/7*o**3 + 0*o**4 - 8/7*o**2 - 4/7*o**5 + 8/7 = 0.
-2, -1, 1
Let b(k) be the second derivative of -13*k**4/3 - 1882*k**3 - 868*k**2 + 2*k - 241. Solve b(d) = 0 for d.
-217, -2/13
Suppose 21*w = 22*w - 4. Let 3*g**4 - g**w + 10*g**3 + 14*g - 16*g**3 - 9*g**2 + 12 + 3*g**2 = 0. Calculate g.
-1, 2, 3
Let k(u) be the first derivative of 24*u**2 + 718*u + 16*u**2 - 4*u**3 + 130 + 5*u**3 - 130*u + 2*u**2. Find w such that k(w) = 0.
-14
Let s(f) be the second derivative of -f**5/130 + 31*f**4/78 + f**3/39 - 31*f**2/13 + 152*f. Let s(b) = 0. What is b?
-1, 1, 31
Let g(o) be the second derivative of -o**6/45 + 16*o**5/45 - 41*o**4/54 - 40*o**3/27 + 4*o**2 - 13747*o. Suppose g(v) = 0. Calculate v.
-1, 2/3, 2, 9
Let c(p) be the second derivative of 0*p**2 - 5/3*p**3 + 1/6*p**4 + 19*p + 0. Determine f, given that c(f) = 0.
0, 5
Let j(f) be the first derivative of 3*f**5/20 + 129*f**4/4 + 5547*f**3/2 + 238521*f**2/2 - 101*f - 21. Let c(r) be the first derivative of j(r). Factor c(y).
3*(y + 43)**3
Let l be (-33150)/663 - 54*-1. Determine i so that 18 - 2/3*i**2 - l*i = 0.
-9, 3
Let a be 21 + ((-3723)/(136/(-8)))/(-11). Factor -a + 0*w**2 + 2/11*w**3 - 14/11*w.
2*(w - 3)*(w + 1)*(w + 2)/11
Let f(n) be the third derivative of 0 + 1/20*n**5 - 1/4*n**4 + 0*n**3 + 0*n + 1/20*n**6 - 1/70*n**7 + 3*n**2. Let f(v) = 0. Calculate v.
-1, 0, 1, 2
Find c, given that -3/2*c**3 + 5/2*c**4 + 6 - 1/2*c**5 + 4*c - 13/2*c**2 = 0.
-1, 2, 3
Suppose 15*v - 10*v = 7*s + 5, -3*v = -3*s - 3. Let m(d) be the third derivative of -d**2 + 0 + 27/4*d**5 + 10/3*d**3 + s*d - 15/2*d**4. Factor m(n).
5*(9*n - 2)**2
Suppose 3 = -7*f + 4*f - 3*j, 3*f + 4 = -4*j. Let u = 3795 + -3793. Factor -4/9*w - 2/9*w**4 + 2/9 + f*w**u + 4/9*w**3.
-2*(w - 1)**3*(w + 1)/9
Let n be (-35)/14*((70 - 52) + (-274)/15). Factor -20/3*g - 50/3 - n*g**2.
-2*(g + 5)**2/3
Let c(q) = 2*q**3 - q**2 + 6. Let r be c(-2). Let i be 4/2*(-16)/616*r. Determine y so that 24/11*y**5 + 0 - i*y + 86/11*y**3 + 16/11*y**2 - 94/11*y**4 = 0.
-1/3, 0, 1/4, 2
Let z(a) be the first derivative of 3*a**5/20 - 9*a**4/4 - a**3/4 + 9*a**2/2 - 639. Factor z(y).
3*y*(y - 12)*(y - 1)*(y + 1)/4
Let m(y) be the third derivative of -y**8/1176 - y**7/105 - 11*y**6/420 + 19*y**5/210 + 5*y**4/7 + 12*y**3/7 - 11*y**2 - 2*y. Suppose m(f) = 0. What is f?
-3, -2, -1, 2
Suppose 3*q + 220 + 47 = 4*k, 0 = 4*q - 12. Let s be -17 + 1265/k - 2/(-3). Factor 45/2*n**s + 27*n + 6 + 21/4*n**3.
3*(n + 2)**2*(7*n + 2)/4
Suppose -4*r + r + 9 = 0. Suppose 2*v = -10, -4*x + 4*v + 11 + 17 = 0. What is o in -9 - o - o**x - r*o + 10*o = 0?
3
Suppose -192/13*i + 0 - 2/13*i**3 + 44/13*i**2 = 0. What is i?
0, 6, 16
Let k(t) = 488*t**3 - 4*t**2 - 4*t + 2. Let y(h) = h**3 - 3*h**2 - 2*h + 1. Let d(n) = -k(n) + 2*y(n). Factor d(z).
-2*z**2*(243*z + 1)
Let j(c) be the first derivative of -c**4/18 - 14*c**3/27 + 7*c**2/3 + 6*c - 3193. Factor j(l).
-2*(l - 3)*(l + 1)*(l + 9)/9
Let j be (32/(-288))/(-20*(-3)/(-27)). Let h(y) be the second derivative of 17*y + 0 + j*y**5 + 0*y**2 - 1/6*y**4 + 0*y**3. Factor h(t).
t**2*(t - 2)
Factor -62/5*q - 2/5*q**3 - 132/5 + 68/5*q**2.
-2*(q - 33)*(q - 2)*(q + 1)/5
Let p = -6200 - -6220. Let q(n) be the second derivative of p*n + 1/4*n**4 + 0*n**2 - 3/20*n**5 + 0 + n**3. Suppose q(m) = 0. What is m?
-1, 0, 2
Factor -1/4*s**2 + 39 + 19*s.
-(s - 78)*(s + 2)/4
Let y(w) be the first derivative of w**3 + 36*w**2 + 2*w + 284. Let i be y(-24). Let 16/7*h**i + 12/7*h**3 + 0 - 16/7*h = 0. Calculate h.
-2, 0, 2/3
Let s(w) be the third derivative of w**7/10 + 209*w**6/120 + 32*w**5/15 - 121*w**4/6 - 24*w**3 + w**2 - 673*w - 2. Determine t, given that s(t) = 0.
-9, -2, -2/7, 4/3
Factor 101/4*a - 1/4*a**2 - 97.
-(a - 97)*(a - 4)/4
Suppose -14*u + 30 = -19*u. Let s(l) = 10*l**2 - 6*l - 46. Let o(t) = -t**2 - t + 1. Let h(z) = u*o(z) - s(z). Factor h(d).
-4*(d - 5)*(d + 2)
Let u(o) be the third derivative of 1/20*o**4 + 1/1050*o**7 - 1/1680*o**8 + 2*o**2 - 31 + 0*o**3 - 13/300*o**5 + 0*o + 7/600*o**6. Solve u(n) = 0 for n.
-3, 0, 1, 2
Suppose -348*r + 342*r = -2184. Let u be 1/(-4) + r/560. What is f in 72/5 + u*f**2 - 24/5*f = 0?
6
Let i(d) = -1538*d + 26*d**2 + 28618 + 1753 + 10211. Let s(k) = 5*k**2 - 308*k + 8116. Let c(l) = 2*i(l) - 11*s(l). Determine x so that c(x) = 0.
52
Let q(x) be the first derivative of -49 + 54000*x**3 - 1350*x**4 - 1215000*x**2 - 1/10*x**6 + 14580000*x + 18*x**5. Determine g so that q(g) = 0.
30
Let p be 0 + (24/10 - 3/(-5)). Suppose -p*a = b + 30 - 82, 20 = 5*b. Factor 10*l**3 - 14*l**2 + 13*l - 25*l + a*l.
2*l*(l - 1)*(5*l - 2)
Let s = -396 + 2332. Solve -s*a**2 + 1933*a**2 - 21 + 75*a - 117 = 0.
2, 23
Suppose -8*s = 88 - 120. Let b(c) be the second derivative of -4/3*c**3 + 0*c**2 + 7*c + 0 + 1/2*c**5 - 4/3*c**s. Factor b(u).
2*u*(u - 2)*(5*u + 2)
Suppose -4*s = -2*u - 4, -4*s + 2*s + 14 = 2*u. Suppose s*w + 750 = 13*w. Factor 75 - 216 + l**2 + w + 4*l + 70.
(l + 2)**2
Let f be (-10)/2 + (-1 - -314). Let -f*y + 155*y + 150*y + y**2 = 0. Calculate y.
0, 3
Solve -3/4*k**2 - 237/4*k - 225 = 0 for k.
-75, -4
Let z be (5 + (-51)/12)/((-1813)/6216 + (-4)/(-6)). Factor -57/4*f**z + 5/2*f**3 + 18*f + 27/4.
(f - 3)**2*(10*f + 3)/4
Let g be 10/(2295/442 - 5). Find f such that -392*f**3 + 343/4*f**4 - 4 - g*f + 2401/4*f**5 - 238*f**2 = 0.
-2/7, 1
Let q be (28/(-3))/(380/(-475)) + -9. What is k in 2*k - 4/3*k**2 + 0*k**4 - q*k**3 + 4/3 + 2/3*k**5 = 0?
-1, 1, 2
Suppose -59 = -38*s + 33*s + 2*n, -3*n + 5 = s. Let w be -11 - -2 - s*-1. Factor -4/3 