*b**l + 15*b**2 + 24*b + 50*b**3 + 12 - 94*b**3.
3*(b + 1)*(b + 2)**2
Let k(u) = -19*u**5 + 54*u**4 + 104*u**3 + 181*u**2 - 334*u. Let q(o) = 3*o**5 - 8*o**4 - 17*o**3 - 30*o**2 + 56*o. Let n(t) = 2*k(t) + 13*q(t). Factor n(g).
g*(g - 2)**2*(g + 3)*(g + 5)
Let f(h) = 12*h**2 - 5*h + 22. Let g(m) = m**2 + m - 3. Let j(v) = f(v) - 11*g(v). Solve j(l) = 0 for l.
5, 11
Let b(g) be the third derivative of -686*g**7/75 - 45619*g**6/150 - 18963*g**5/5 - 36855*g**4/2 + 24300*g**3 - 1520*g**2. Factor b(d).
-4*(7*d - 2)*(7*d + 45)**3/5
Suppose -50*h**2 + 3*h**4 - 14*h**2 + 21*h**2 + 15*h**3 - 19*h**2 - 63*h + 11*h**2 = 0. Calculate h.
-7, -1, 0, 3
Suppose 17*o + 47 = 13. Let s be (o/(-15))/((-2)/(-3)). Factor 1/5*w**2 + 0 + s*w.
w*(w + 1)/5
Factor -243/5*i + 3/5*i**2 + 48.
3*(i - 80)*(i - 1)/5
Let d(g) be the third derivative of -7*g**7/15 + 112*g**6/15 - 48*g**5 + 1152*g**4/7 - 2304*g**3/7 - g**2 + 165. Solve d(s) = 0.
12/7, 4
Let z(m) be the second derivative of -m**5/5 + 23*m**4/3 - 320*m**3/3 + 600*m**2 + 254*m. Let z(a) = 0. What is a?
3, 10
Let j be (-4)/(-10) + -69*(-12)/(-45). Let g be (-80)/44*j/15 - 2. Factor -32/11 - 16/11*x - g*x**2.
-2*(x + 4)**2/11
Suppose -18*s + 3038 = -16*s. Suppose -5*m - 4*p + s = 0, 5*p = -2*m + 5*m - 941. Factor 40*i**3 + 248 + 47 - 2*i**4 - 252*i**2 + m*i + 391 + 85*i.
-2*(i - 7)**3*(i + 1)
Suppose -2*c + 4 = -8. Let -z**3 - 11*z**2 - 8*z - 6*z - 10*z**2 + c*z**2 = 0. Calculate z.
-14, -1, 0
Let p(f) be the second derivative of f**5/5 + 24*f**4 + 406*f**3/3 - 552*f**2 - f - 11920. Determine y so that p(y) = 0.
-69, -4, 1
Let x(z) be the second derivative of -z**8/1344 + 29*z**7/504 + 5*z**6/24 + 125*z**4/12 - 5*z + 4. Let r(i) be the third derivative of x(i). Factor r(t).
-5*t*(t - 30)*(t + 1)
Let o(j) be the first derivative of 13*j + 1/4*j**4 + 11/3*j**3 + 36 - 25/2*j**2. Solve o(p) = 0 for p.
-13, 1
Let j(f) = 24*f**2 + 54*f - 228. Let k(z) = -33*z**2 - 55*z + 232. Let x(y) = 4*j(y) + 3*k(y). Factor x(s).
-3*(s - 9)*(s - 8)
Let q = 2445 + -2445. Let a(d) be the third derivative of d**2 + 7/72*d**4 - 1/90*d**5 - 1/6*d**3 + 0*d + q. Factor a(z).
-(z - 3)*(2*z - 1)/3
Let z = -45313/246 - -23210/123. Factor 1/4*o**2 + z + 11/4*o.
(o + 2)*(o + 9)/4
Let x(m) be the third derivative of m**6/180 + 4*m**5/45 - 71*m**4/36 - 26*m**3/3 - 1252*m**2 - 2. Factor x(b).
2*(b - 6)*(b + 1)*(b + 13)/3
Let v(d) be the first derivative of -4/3*d**3 + 10 - 1/90*d**5 + 1/540*d**6 + 0*d + 0*d**4 + 0*d**2. Let i(a) be the third derivative of v(a). Solve i(y) = 0.
0, 2
Let r = 372/2297 - -113734/6891. Factor -625/3 - r*p - 1/3*p**2.
-(p + 25)**2/3
Let f be ((-27360)/(-1170))/(-38)*(-2)/4. Find y such that -16/13 + 10/13*y**2 - f*y - 2/13*y**3 = 0.
-1, 2, 4
Factor -1/5*n**2 - 5*n + 30.
-(n - 5)*(n + 30)/5
Let z(k) be the second derivative of -k**7/84 + k**6/20 + k**5/8 - 5*k**4/8 - k**3/3 + 3*k**2 - 6641*k - 2. Find m such that z(m) = 0.
-2, -1, 1, 2, 3
Let p be 228087/(-351) - -1*6/39. Let h = -649 - p. Factor i - h + i**2 - 2/3*i**3.
-(i - 2)*(i + 1)*(2*i - 1)/3
Let y(n) = 4*n**2 + 136*n - 48. Let t(x) = -x + 2. Let u(w) = -24*t(w) - y(w). Let u(g) = 0. Calculate g.
-28, 0
Determine m so that -m**5 + 599*m**4 - 104881*m**3 - 27003*m**3 + 395160*m**2 + 291*m**4 - 197136*m - 67029*m**3 = 0.
0, 1, 444
Let n(u) be the second derivative of -1/20*u**5 - 81/2*u**3 - 2 - 8*u + 9/4*u**4 + 729/2*u**2. Let n(b) = 0. What is b?
9
Let z be 0/12*(-1)/3. Let l(a) be the first derivative of z*a + 28 - 2*a**3 + 9/2*a**2 + 1/4*a**4. Factor l(s).
s*(s - 3)**2
Suppose 0 = 3*c + 4*r - 1312, 5*c + 7*r - 2200 = 3*r. Let o = c - 444. Factor -27/2*z**3 - 15/2*z**5 + o + 3*z**2 + 0*z + 18*z**4.
-3*z**2*(z - 1)**2*(5*z - 2)/2
Let a(k) be the third derivative of -k**7/2520 + 2*k**5/15 - 17*k**4/6 - k**3/6 - 26*k**2. Let h(p) be the second derivative of a(p). Let h(f) = 0. What is f?
-4, 4
Let g(a) = -12*a + 38. Let n be g(3). Factor 390*j + 131 + 41 + 54*j**n + 167 + 2*j**3 - 1.
2*(j + 1)*(j + 13)**2
Let y(t) = 4*t**2 - 1282*t + 5066. Let v be y(4). Factor -2523/2 - 87*k - 3/2*k**v.
-3*(k + 29)**2/2
Let g be 8*(-7)/(-7) + (-21)/84 + -7. Factor 6 - 9/2*b + g*b**2.
3*(b - 4)*(b - 2)/4
Factor 210212 + 1644*x**2 - 1643*x**2 - 766*x - 63523.
(x - 383)**2
Let m be (8/4 - 5) + (-1 - 3). Let t = 51 + m. Factor 5*x**4 + 10*x**4 + 90*x**2 + t*x**3 + 25*x**3 + 0*x**3 + 12*x - 24.
3*(x + 1)*(x + 2)**2*(5*x - 2)
Let v be (-74)/(-5)*(-44)/264 + 1. Let k = v + 34/15. Suppose -k*z**2 + 0*z + 0 + 0*z**3 + 4/5*z**4 = 0. Calculate z.
-1, 0, 1
Let n(x) = -387*x - 1159. Let s be n(-3). Let j(u) be the third derivative of 0 + 0*u + 1/15*u**5 - u**4 - 3*u**s + 10/3*u**3. Factor j(c).
4*(c - 5)*(c - 1)
Let u be (-8 - 44/(-8))/((-5)/4). Suppose -1 - 52 + 47 - 4*t - 42 + u*t**2 = 0. What is t?
-4, 6
Solve 79*v + 0*v**4 + 90*v - 96 - 40*v**3 + 100*v**2 - 4*v**4 + 70*v - 199*v = 0 for v.
-12, -1, 1, 2
Let k = -24307/6 + 12154/3. Let z(o) be the third derivative of 0*o - k*o**5 + 0 - 36*o**2 + 1/40*o**6 + 1/8*o**4 + 0*o**3. Factor z(q).
q*(q - 3)*(3*q - 1)
Suppose 4*a = 5*j - 4853, -1254 = -j + 4*a - 293. Let g = j - 970. Find x, given that 0 + 1/5*x + 0*x**g - 2/5*x**4 + 2/5*x**2 - 1/5*x**5 = 0.
-1, 0, 1
Determine y so that -8/9*y**3 - 78 - 72*y - 20*y**2 + 2/9*y**4 = 0.
-3, 13
Suppose -5*m - 5*b = -35, 3*m - 2*b = 13 + 13. Suppose 0 = -m*l + 24 - 0. Factor -25*r**3 - 55*r**2 - 6 - 4 - 35*r + l + 2.
-5*(r + 1)**2*(5*r + 1)
Factor -2/3*a**3 + 48 - 26/3*a**2 - 4*a.
-2*(a - 2)*(a + 3)*(a + 12)/3
Suppose -5*c + 2 = -4*u + 1, -c = 2*u - 3. Let b be (-4)/6*-3*c. Let 20*t**4 - 28*t**3 + 5*t - 8*t**3 + 28*t**b - 13*t - 4*t**5 = 0. Calculate t.
0, 1, 2
Let l be (180/(-36))/(2/(-16)). Factor 48 + 4*o**2 - 10*o**3 - l*o + 19*o**3 - 7*o**3.
2*(o - 2)**2*(o + 6)
Let y(l) be the third derivative of 0 + 5*l**3 - 1/12*l**5 + 0*l - 91*l**2 + 25/24*l**4. Let y(a) = 0. Calculate a.
-1, 6
Let t be (-130*((-200)/800)/((-5)/(-4)) + -11)/3. Determine u, given that 0 - 4/7*u**t + 6/7*u**3 - u**2 + u**4 - 2/7*u = 0.
-1, -1/4, 0, 1, 2
Let v(w) be the third derivative of -10*w**2 - 2/5*w**4 + 0 + 18/5*w**3 - 1/100*w**5 - 14*w. Factor v(p).
-3*(p - 2)*(p + 18)/5
Let c be (-1*4)/(7/(-133)). Let d = 78 - c. Factor -25*f + 21 + 0*f**2 + 0*f + 7*f - 3*f**d.
-3*(f - 1)*(f + 7)
Let x be 95/(-25) + 4 - -3*428/(-6480). Let n(s) be the third derivative of 0*s - 2/135*s**5 + 1/36*s**4 + x*s**6 + 0*s**3 + 14*s**2 + 0. Factor n(k).
2*k*(k - 3)*(k - 1)/9
Let p(r) = 17*r**2 + 31*r - 255. Let u be p(-5). Determine j, given that -u*j**3 - 3 - 51/2*j + 87/2*j**2 = 0.
-1/10, 1, 2
Let r(a) = -a**2 - 2*a + 53. Let c be r(6). Factor -8*s**2 - 7*s**3 + 25*s - 12*s - c*s**3 - 8 + 15*s.
-4*(s - 1)*(s + 2)*(3*s - 1)
Let o(k) be the first derivative of -21 + 4*k**2 - 1/12*k**3 + 0*k. Factor o(p).
-p*(p - 32)/4
Let j(r) = 202*r**2 + 3*r + 44. Let t(l) = 807*l**2 + 12*l + 165. Let h(w) = -15*j(w) + 4*t(w). Suppose h(m) = 0. Calculate m.
-1/66, 0
Determine d so that 13791752/3 + 2/3*d**2 + 10504/3*d = 0.
-2626
Let v(r) be the first derivative of -8*r**6/15 + 9*r**5/5 + r**4/3 - 4*r**3 + 60*r - 50. Let w(z) be the first derivative of v(z). Find i, given that w(i) = 0.
-3/4, 0, 1, 2
Suppose 8 = 9*p - 11*p. Let t(u) = -u**3 - 2*u**2 - u - 9. Let i be t(p). What is l in 35*l**3 - i*l**3 - 6*l**4 + 2*l**4 = 0?
0, 2
Let x(m) be the second derivative of 17*m + 0*m**2 + 1/340*m**5 + 0 - 1/102*m**4 + m**3 - 1/3060*m**6. Let r(g) be the second derivative of x(g). Factor r(h).
-2*(h - 2)*(h - 1)/17
Let m(f) be the second derivative of 0*f**2 + 0*f**6 - 12/35*f**5 + 4 + 0*f**3 - 15*f + 2/147*f**7 + 16/21*f**4. Factor m(v).
4*v**2*(v - 2)**2*(v + 4)/7
Let b be (-27)/(-12) - 4*1/16. Suppose 22*s - 8*s - 5*s**b - 54*s - 35 = 0. What is s?
-7, -1
Solve -21*s**4 - 96*s - 2*s**5 + 96*s + 5*s**5 + 57*s**3 - 18*s**4 + 99*s**2 = 0 for s.
-1, 0, 3, 11
Let c be (-42 - 2 - -49) + 53/11. Suppose c*x - 102/11 - 6/11*x**2 = 0. What is x?
1, 17
Determine q so that 8*q**2 - 8*q**2 + q**2 + 660*q - 108900 - 2*q**2 = 0.
330
Let z(p) be the first derivative of 0*p + 69 + 1/21*p**6 + 0*p**4 + 4/21*p**3 - 4/35*p**5 - 1/7*p**2. Factor z(d).
2*d*(d - 1)**3*(d + 1)/7
Factor 1304/5*g - 176 - 636/5*g**2 + 2/5*g**4 + 98/5*g**3.
2*(g - 2)**3*(g + 55)/5
Let r = -109598 + 109600. Facto