 0. Calculate q.
-3, -1
Factor 143/3 + 48*s + 1/3*s**2.
(s + 1)*(s + 143)/3
Let h(w) be the third derivative of -w**5/12 - 185*w**4/12 - 6845*w**3/6 + 3954*w**2. Solve h(x) = 0.
-37
Let y be ((-9)/(-336))/((-567)/(-1323)). Let j(h) be the first derivative of 5/12*h**3 + 0*h**2 - 11 + 0*h - y*h**4. Factor j(z).
-z**2*(z - 5)/4
Let z(p) be the second derivative of 7/90*p**6 + 8/15*p**5 + 0*p**2 + 2/3*p**4 + 25*p - 11/3*p**3 + 0. Let x(f) be the second derivative of z(f). Factor x(n).
4*(n + 2)*(7*n + 2)
Factor -165*n**2 + 131*n**3 - 4*n**5 + 293*n**2 - 377*n**3 - 76*n**4 - 74*n**3 + 272*n**2.
-4*n**2*(n - 1)*(n + 10)**2
Let q be (1 - -4) + (-14 - -11). Suppose 5*b - q*b - 9 = 0. Find c, given that 8 - 26*c + 2*c**b - c**2 + 12*c + 5*c**2 = 0.
-4, 1
Let f(z) be the first derivative of -z**4/6 - 34*z**3/3 - 78*z**2 - 368*z/3 - 545. Let f(k) = 0. Calculate k.
-46, -4, -1
Factor 38*y**2 - 2*y**2 - y**4 - 96*y**2 - 19 + 58*y + 22*y**3.
-(y - 19)*(y - 1)**3
What is u in -4679*u**4 + 1900*u - 862 - 570*u**2 + 9359*u**4 - 919 + 406 + 44*u**3 - 4679*u**4 = 0?
-55, 1, 5
Let u be 6027/10584 + (-4)/9. Let w(r) be the first derivative of -u*r**3 - 7 + 3/4*r**2 - 9/8*r. Factor w(x).
-3*(x - 3)*(x - 1)/8
Suppose 36 = 5*v - y, -3*v + 0*y + 24 = -3*y. Factor -v*r + 4*r + r - r**2.
-r*(r + 2)
Let f(m) = -3*m**2. Let h(d) = -13*d**2 - 6*d**2 + 72*d - 4066 + 345 + 50*d. Let z(p) = -6*f(p) + h(p). Determine k, given that z(k) = 0.
61
Let s be (-9381)/36 + (-4 - -14). Let z = 1005/4 + s. Factor 0*c + 0 + 0*c**2 - 2/3*c**3 + z*c**5 + 0*c**4.
2*c**3*(c - 1)*(c + 1)/3
Determine y, given that 297/4*y**2 + 15*y**3 - 75 - 15*y + 3/4*y**4 = 0.
-10, -1, 1
Let a be (-1)/((5/(-10) + 2)/(6/(-12))). Let k(s) be the first derivative of -4*s**2 + a*s**3 - 7 + 16*s. Find z, given that k(z) = 0.
4
Let z(i) be the third derivative of 0*i - 1/225*i**5 + 8*i**2 - 1/900*i**6 + 1/180*i**4 + 0 + 2/45*i**3. Solve z(o) = 0 for o.
-2, -1, 1
Let g(v) = v**5 + v**3 + v**2 - v + 1. Let q(u) = -6 + 21*u**4 + 11*u - 24*u**3 + 16*u - 9*u**5 - 3 + 12*u**5. Let a(y) = 6*g(y) - q(y). Factor a(c).
3*(c - 5)*(c - 1)**3*(c + 1)
Let n be 12*14/56 + (-58)/(-14) + -2. Factor 2/7*u**2 + 2*u - n.
2*(u - 2)*(u + 9)/7
Let t = -2219 - -8749/4. Let f = t - -34. Solve -3/2 + f*u - 3/4*u**2 = 0 for u.
1, 2
Suppose -33*j = -34*j + 7. Let l(c) be the third derivative of 1/24*c**5 - 25/144*c**4 + 0*c + 5/18*c**3 - 1/252*c**j + 14*c**2 + 0 + 1/144*c**6. Factor l(n).
-5*(n - 1)**3*(n + 2)/6
Determine i so that -41470/9*i - 2/9*i**3 - 42050/9 + 578/9*i**2 = 0.
-1, 145
Solve -1680*k + 92094*k**3 + 10788 - 146*k**2 - 92096*k**3 + 28020 = 0.
-42, 11
Let n(m) be the second derivative of 0*m**2 + 20/3*m**3 - 5/12*m**4 - 2*m + 1. Let n(s) = 0. Calculate s.
0, 8
Let f be 1666/(-2142)*(-4)/7*2. Factor 0 - 2/9*t**2 + f*t.
-2*t*(t - 4)/9
Let u(t) be the third derivative of t**7/1050 + 29*t**6/200 - 22*t**5/75 + 12*t**2 + 20*t. Suppose u(g) = 0. Calculate g.
-88, 0, 1
Let y(h) be the first derivative of 3*h**5 + 9*h**4/4 - 32*h**3 + 18*h**2 + 1153. Factor y(t).
3*t*(t - 2)*(t + 3)*(5*t - 2)
Let k be (-2 + 1)/(-19 - (2 - 13)). Let r(w) be the third derivative of 1/40*w**6 + 3/70*w**7 + 13*w**2 + 0 - k*w**4 + 0*w - 3/20*w**5 + 0*w**3. Factor r(s).
3*s*(s - 1)*(s + 1)*(3*s + 1)
Let o = 3/26953 - -53897/80859. Factor o*b**2 + 40/9 - 38/9*b.
2*(b - 5)*(3*b - 4)/9
Let f(n) = n**2 - 31. Suppose 194 = 3*a + 4*x, -2*a - x + 131 = 2*x. Let w = -62 + a. Let m(v) = -v**2 + 16. Let b(o) = w*f(o) - 9*m(o). Factor b(c).
5*(c - 2)*(c + 2)
Find q, given that 16/5*q + 0 + 34/15*q**4 - 42/5*q**3 + 2/5*q**5 - 106/15*q**2 = 0.
-8, -1, 0, 1/3, 3
Suppose -4*u + 67 = 3*h + 62, 0 = u + 5*h + 3. Suppose -2*r = 3*a + 6, 6*r - a - 2 = u*r. Determine w so that r*w + 4/3*w**2 - 2/3*w**3 + 0 = 0.
0, 2
Factor 126*i**4 - 297*i**2 + 123*i**3 - 252*i**2 + 546*i**2.
3*i**2*(i + 1)*(42*i - 1)
Let i(n) = -n**2 - 26*n - 63. Let q be i(-30). Let y = 550/3 + q. Factor -1/3*m**2 - y*m**3 + 0*m + 0.
-m**2*(m + 1)/3
Let p(q) be the first derivative of q**4/12 - 34*q**3/9 + 289*q**2/6 - 2659. Factor p(d).
d*(d - 17)**2/3
Let x(d) be the first derivative of d**6/360 - d**5/180 - d**4/72 + d**3/18 - 41*d**2/2 - 16. Let f(n) be the second derivative of x(n). Factor f(u).
(u - 1)**2*(u + 1)/3
What is k in -7/5*k**5 + 51/5 - 109/5*k**4 + 58/5*k**2 - 167/5*k + 174/5*k**3 = 0?
-17, -1, 3/7, 1
Suppose -1211*a + 1215*a + p = 37, -4*a + 5*p = -175. Factor -1/2*r**2 + a + 7/2*r.
-(r - 10)*(r + 3)/2
Let d(v) be the first derivative of -v**5/25 + 49*v**4/20 + 88*v**3/5 + 162*v**2/5 - 4424. Let d(f) = 0. Calculate f.
-3, -2, 0, 54
Let g = 244842 - 979343/4. Determine x so that -5/4*x**2 - 5/4*x**3 - 15/4 + g*x = 0.
-3, 1
Let l be (10 + -35)/5 + (-3 - -14 - 3). Let j(f) be the second derivative of -5/4*f**l + 2 + 1/48*f**4 - 10*f + 225/8*f**2. Determine b so that j(b) = 0.
15
Let j(s) be the first derivative of -s**4/84 - 10*s**3/21 - 50*s**2/7 + 161*s + 26. Let c(m) be the first derivative of j(m). Factor c(g).
-(g + 10)**2/7
Let h(f) be the second derivative of 0*f**5 - 3/8*f**4 + 0 - 18*f + 1/40*f**6 + f**3 + 15/2*f**2. Let v(r) be the first derivative of h(r). Factor v(c).
3*(c - 1)**2*(c + 2)
Suppose -84 - 50/3*l - 2/3*l**2 = 0. Calculate l.
-18, -7
Suppose -11*v + 21*v = 9780. Suppose v*z + 27 = 987*z. Find k, given that 0 + 0*k - 3*k**2 + 0*k**z + 3/4*k**4 = 0.
-2, 0, 2
Let m(n) be the second derivative of 0*n**2 + 0 + 1/2*n**3 + 9/80*n**5 + 7/6*n**4 - 48*n. Factor m(h).
h*(h + 6)*(9*h + 2)/4
Let a(t) = 3*t**3 + 83*t**2 + 837*t + 2675. Let d(j) = 3*j**3 + 81*j**2 + 837*j + 2676. Let y(n) = -3*a(n) + 2*d(n). Factor y(i).
-3*(i + 9)**2*(i + 11)
Let q(x) be the third derivative of -361*x**7/840 + 1539*x**6/80 + 4561*x**5/80 + 565*x**4/12 + 18*x**3 + 1053*x**2 - 2*x - 3. Let q(l) = 0. What is l?
-1, -4/19, 27
Find y such that -39*y + 87/4*y**3 - 120 - 3*y**5 + 123*y**2 - 93/4*y**4 = 0.
-8, -2, -1, 5/4, 2
Let p(n) be the third derivative of n**7/42 - 5*n**6/24 + 7*n**5/12 - 5*n**4/8 - 585*n**2. Suppose p(b) = 0. What is b?
0, 1, 3
Suppose -3*n + 3*h + 2804 = 4*h, 5*n - 4674 = -h. Suppose 8*c + 615 = n. Find s, given that 22/3*s**4 + 48*s - 32/3 + 7*s**5 - c*s**3 - 80/3*s**2 = 0.
-2, 2/7, 2/3, 2
Let g(f) = -3*f**2 + 483*f - 2484. Let h(n) = n**2 - 482*n + 2481. Let l(w) = -2*g(w) - 3*h(w). Let l(y) = 0. Calculate y.
-165, 5
Let y(h) = 409*h - 1227. Let u be y(3). Let j(x) be the first derivative of u*x + 68/21*x**3 - 9/2*x**4 - 81/35*x**5 - 4/7*x**2 - 31. Let j(s) = 0. Calculate s.
-2, 0, 2/9
Let a(v) be the second derivative of 4*v**4/15 - 58*v**3/5 - 2339*v. Factor a(y).
4*y*(4*y - 87)/5
Let w(y) be the first derivative of 29/15*y**3 + 1/25*y**5 - 101 + 7/2*y**2 - 30*y - 11/20*y**4. Find q, given that w(q) = 0.
-2, 3, 5
Let h = 44285/4 - 11065. Let b(f) be the third derivative of -20/3*f**3 + h*f**4 + 5/24*f**6 + 0 + 0*f - 46*f**2 - 9/4*f**5. Factor b(j).
5*(j - 4)*(j - 1)*(5*j - 2)
Let j(l) be the third derivative of -1/780*l**6 - l + 7/52*l**4 - 15/13*l**3 + 0 - 19*l**2 + 1/390*l**5. Find w, given that j(w) = 0.
-5, 3
Let g be 25/13050*-18 - 37/(-232). Determine v, given that 29/2*v - g*v**2 - 841/2 = 0.
58
Let t(p) be the second derivative of -p**4/96 - 919*p**3/24 - 844561*p**2/16 + 8*p + 174. Suppose t(k) = 0. Calculate k.
-919
Solve -17/3*k - 70/3*k**3 + 2/3*k**4 + 137/6*k**2 + 0 = 0.
0, 1/2, 34
Let f(d) be the third derivative of d**8/4032 - d**7/1008 - 7*d**5/30 + 266*d**2. Let y(u) be the third derivative of f(u). Solve y(l) = 0 for l.
0, 1
Determine q, given that 3046 - 3*q**2 - 1565*q - 2*q**2 + 535*q + 1756 - 602 = 0.
-210, 4
Let f = -1690 + 1694. Suppose a - 2 = r, -f*a = -a + 8*r + 16. Let 3/2*w**2 - 1/2*w**4 + 0 - w**3 + a*w = 0. Calculate w.
-3, 0, 1
Let f(r) be the third derivative of -r**8/6720 - r**7/1680 + r**5/240 + r**4/96 - 53*r**3/6 - 58*r**2. Let s(g) be the first derivative of f(g). Factor s(m).
-(m - 1)*(m + 1)**3/4
Let m(g) be the second derivative of -3/16*g**5 + 3/2*g**2 + 2 + g**3 - 1/40*g**6 + 1/16*g**4 + 50*g + 1/56*g**7. Solve m(o) = 0 for o.
-1, 2
Let l(q) be the first derivative of q**4/34 + 674*q**3/51 + 671*q**2/17 + 670*q/17 + 1654. Factor l(j).
2*(j + 1)**2*(j + 335)/17
Let 534645 - 3270*y + 3*y**2 + 21*y**2 - 19*y**2 = 0. Calculate y.
327
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