 + a**3 + a**2. Let l(u) = 2*u**4 - 224*u + 2*u**4 + 144*u + 66*u**2 - 2*u**3 - 6*u**4. Let v(g) = l(g) - 2*n(g). Factor v(f).
-4*f*(f - 2)**2*(f + 5)
Let b(z) be the first derivative of 0*z - 3/4*z**2 + 1/4*z**3 + 125. Find n, given that b(n) = 0.
0, 2
Let f(v) be the third derivative of 0*v**3 - 11/60*v**5 + 3*v**2 + 0*v + 1/30*v**6 - 12 + 1/210*v**7 + 1/4*v**4. Solve f(z) = 0.
-6, 0, 1
Suppose -11*h + 14*h + 24 = 0. Let s = h + 10. Find o such that 0 - 360*o**s - 5 + 365*o**2 = 0.
-1, 1
Suppose 5*s - 300 = -5*n, -2*s + 5*n + 26 + 94 = 0. Factor 107 - s - 12*c**2 - 63 - 32*c.
-4*(c + 2)*(3*c + 2)
Let y(v) be the first derivative of v**4/2 - 30*v**3 + 432*v**2 - 2376*v - 116. Factor y(j).
2*(j - 33)*(j - 6)**2
Factor -246*a - 1518*a - 171*a**2 - 233*a**3 - a**4 + 75*a**3 - 438*a**2 + 112*a**3.
-a*(a + 4)*(a + 21)**2
Let z(n) = -30*n - 417. Let l be z(-14). Let q(b) be the first derivative of -12/11*b**2 + 9 + 2/3*b**l - 3/22*b**4 + 8/11*b. Determine x, given that q(x) = 0.
2/3, 1, 2
Suppose 40*h - 150 = -10*h. Suppose 15 = h*g + 3*m, 47*g - 50*g = -2*m + 10. Solve g - 2/11*z**2 + 0*z = 0.
0
Let m = -27338 - -27340. Factor 24/5*q**m - 51/5*q + 6 - 3/5*q**3.
-3*(q - 5)*(q - 2)*(q - 1)/5
Let g(t) = 190*t**2 - 2*t**3 + 0*t**2 - 55*t**2 + 300 + 394*t. Let s(p) = -p**3 + 45*p**2 + 132*p + 100. Let w(a) = 6*g(a) - 17*s(a). Factor w(x).
5*(x + 2)**2*(x + 5)
Let l(j) be the second derivative of -j**5/30 + j**4/18 + 40*j**3/9 - 112*j**2/3 + 1323*j. Solve l(p) = 0 for p.
-7, 4
Let v(i) = -5*i**3 - 6*i**2 - 10*i - 12. Let m be v(-3). Factor -39 + 30*w + m + 3*w**2 + 3.
3*(w + 3)*(w + 7)
Let b(x) = x**3 - 20*x**2 + 94*x + 24. Let s be b(12). Let g(t) be the first derivative of 4/3*t**3 - 10*t**2 + s*t + 13. Factor g(n).
4*n*(n - 5)
Let p(o) be the second derivative of -2*o**7/735 - o**6/70 + 87*o**2/2 - 64*o + 2. Let l(k) be the first derivative of p(k). Factor l(t).
-4*t**3*(t + 3)/7
Let s(k) be the third derivative of -2/15*k**5 + 2/3*k**3 + 1/6*k**4 + 0 - 14*k**2 - k. Factor s(p).
-4*(p - 1)*(2*p + 1)
Let w(s) be the first derivative of -3*s**5/20 - 7*s**4/2 - 25*s**3/2 - 18*s**2 - 89*s - 54. Let f(u) be the first derivative of w(u). What is z in f(z) = 0?
-12, -1
Let r be 2*(7/(-2) - -4) + 3. Let q be (6/9)/(r/30). Factor -40*s + 206*s**q - 20 + 185*s**5 - 376*s**5 + 65*s**4 + 15*s**2 + 85*s**3.
5*(s + 1)**3*(s + 2)*(3*s - 2)
Let i(v) be the first derivative of 4 + 20/11*v - 2/33*v**3 + 9/11*v**2. Factor i(h).
-2*(h - 10)*(h + 1)/11
Let u(z) be the third derivative of -1/40*z**6 + 0*z - 3*z**4 + 3 - 25*z**2 - 10*z**3 - 9/20*z**5. Determine d, given that u(d) = 0.
-5, -2
Let i(n) = -n**2. Let k(l) = -l**3 + 2*l**2 - 3*l + 8. Let d(g) = 2*i(g) - k(g). Let p be d(4). Factor 20*f**p + 18*f**3 - 5*f**3 + 12*f**3 + 5*f**2.
5*f**2*(f + 1)*(4*f + 1)
Let m(l) = 48*l**2 + 378*l - 1872. Let j(c) = -17*c**2 - 126*c + 620. Let i(w) = 14*j(w) + 5*m(w). What is q in i(q) = 0?
-68, 5
Let c(d) be the third derivative of -d**7/105 - 19*d**6/12 - 368*d**5/5 + 192*d**4 + 2705*d**2. Factor c(t).
-2*t*(t - 1)*(t + 48)**2
Suppose -8*n + 38 + 4 = 26. Let r(j) be the second derivative of 25/8*j**4 - 35/12*j**3 + 5/4*j**n - 13/8*j**5 + 1/3*j**6 + 0 - 30*j. Factor r(f).
5*(f - 1)**3*(4*f - 1)/2
Let j(c) be the first derivative of c**5/150 - 4*c**3/45 + 65*c - 5. Let d(m) be the first derivative of j(m). Factor d(z).
2*z*(z - 2)*(z + 2)/15
Let l(x) be the first derivative of 2157961*x**4/36 - 721279*x**3/9 + 980*x**2/3 - 4*x/9 + 1960. Factor l(t).
(t - 1)*(1469*t - 2)**2/9
Suppose -d = 5*m, 37 + 23 = 5*m - 16*d + 11*d. Factor -1/2*y**3 + 0*y**m - 1/4*y**4 + 1/4 + 1/2*y.
-(y - 1)*(y + 1)**3/4
Suppose 0 = 45*r + 14*r - 1121. Suppose 0 = 28*j - r*j + 38*j. Solve 8/3*a**3 - 8/3*a**5 - 4/3*a**4 + 0*a + 4/3*a**2 + j = 0.
-1, -1/2, 0, 1
Suppose 0 = -345*j + 369*j - 2376. Let g be (-144)/(-10) - (j - 90). Determine f so that 3/5*f**5 + 0*f + 0 + 18/5*f**4 + g*f**3 + 12/5*f**2 = 0.
-4, -1, 0
Let a = 24102 - 24075. Let g(u) be the third derivative of 0 - a*u**2 + 4/45*u**5 + 0*u + 1/105*u**7 - 1/9*u**4 + 0*u**3 + 11/180*u**6. Factor g(v).
2*v*(v + 2)**2*(3*v - 1)/3
Let o be (2/6)/(93/18 + -5). Suppose -o*l = -4*n - 6*l + 12, 0 = n + 3*l - 3. Factor -2*m**2 + 12*m**n - 10*m**3 - 3*m**3 + 0*m**2 + 3*m.
-m*(m - 1)*(m + 3)
Let j(n) be the third derivative of -n**5/15 - 37*n**4/6 - 644*n**3/3 + 40*n**2 - 4. Factor j(l).
-4*(l + 14)*(l + 23)
Let l be ((-124)/70)/(-2) - 82/287. Let f be (21/(-30))/(1/(-6)). Suppose -l*d**4 + 0 + f*d**2 + 0*d**3 - 18/5*d = 0. Calculate d.
-3, 0, 1, 2
Suppose 14 = 4*l - 10*a + 8*a, 0 = -2*l + 3*a + 13. Let q(s) be the first derivative of 0*s + 1/20*s**4 + 0*s**l - 1/15*s**3 - 9. Factor q(y).
y**2*(y - 1)/5
Suppose -3*u = -4 - 5. Let w be (-4 - -10)/((-6)/(-3009)). Factor -w - s**2 + 3009 - 5*s**u.
-s**2*(5*s + 1)
Let l be ((-21)/210*4)/((-208)/40 - -5). Let d = 148/3 + -48. Determine h so that 0 - 1/3*h - d*h**l = 0.
-1/4, 0
Let 4*n**4 - 8561*n**3 - 151*n**3 - 2884394*n**2 - 1530628704*n + 9209306*n**2 = 0. What is n?
0, 726
Let x(z) = 12*z**2 - 17*z - 82. Let i be 1 - 2/2 - (-10)/(-5). Let a(q) = 4*q**2 - 6*q - 28. Let v(f) = i*x(f) + 7*a(f). Find g, given that v(g) = 0.
-2, 4
Let s(p) = -p**3 - 4*p**2 - p + 2. Let f(z) = -2*z - 52. Let i be f(-24). Let o be s(i). Factor o*d**2 - 2*d**4 - 31 - 16*d - d**3 + 20 + 19 + 5*d**3.
-2*(d - 2)*(d - 1)**2*(d + 2)
Let t(h) = -45*h - 672. Let g be t(-15). Let l(u) be the first derivative of 0*u + 1/12*u**4 - 4 - 1/27*u**g - 1/9*u**2. Factor l(p).
p*(p - 1)*(3*p + 2)/9
Let j(d) be the first derivative of 3/4*d**3 + 15/4*d**2 - 62 + 25/4*d. Factor j(y).
(3*y + 5)**2/4
Let x = -642 + 645. Determine r so that 16*r**x - 7*r**3 - 5*r - 10*r**3 + 3*r - 3*r**2 = 0.
-2, -1, 0
Let t = 207574 + -46081325/222. Let u = t + 4/111. Solve 1/4*v + 1/4*v**5 - 1/4*v**4 - 1/2*v**3 + u*v**2 - 1/4 = 0 for v.
-1, 1
Let s(j) = 2*j**2 + 40*j. Let r be 35/(-315) + 34/(-18). Let a(c) = 2*c. Let h(g) = r*s(g) + 10*a(g). Let h(x) = 0. Calculate x.
-15, 0
Suppose 0 = 30*x + 29 + 151. Let t be (4 + -12 - x) + 24/10. Find m such that -2 - 12/5*m - t*m**2 = 0.
-5, -1
Let r = -144 + 147. Factor 27*p**2 + 6*p - 32*p**2 - 7*p**r + 8*p**3.
p*(p - 3)*(p - 2)
Let q(p) be the second derivative of -4*p**2 - 1/12*p**4 - 3/2*p**3 - 40*p - 2. Solve q(z) = 0.
-8, -1
Let h(k) be the second derivative of 1/3*k**4 - 15/4*k**2 + 1/80*k**5 + 196*k + 13/24*k**3 + 0. Determine s, given that h(s) = 0.
-15, -2, 1
Solve 33/2 + 105/4*k + 3/4*k**3 + 21/2*k**2 = 0 for k.
-11, -2, -1
Let 385/4*z**2 + 0*z - 5/4*z**4 - 95*z**3 + 0 = 0. What is z?
-77, 0, 1
Let c = 2/1099137 + 8793086/5495685. Find z, given that 24/5*z - 2/5*z**5 + 0 + 2/5*z**3 + c*z**4 - 32/5*z**2 = 0.
-2, 0, 1, 2, 3
Let h be (86 - 123) + 238/4. Find o, given that -h*o + 75/2*o**2 + 5/2 + 125/2*o**3 = 0.
-1, 1/5
Let z(m) be the second derivative of -m**5/90 - 59*m**4/18 - 3481*m**3/9 - 12*m**2 - 164*m - 2. Let u(w) be the first derivative of z(w). Factor u(t).
-2*(t + 59)**2/3
Let m(t) be the third derivative of 0 + 8*t**2 + 0*t**4 - 1/15*t**5 + 0*t + 13/60*t**6 + 32/105*t**7 + 0*t**3 + 17/168*t**8. Find i, given that m(i) = 0.
-1, 0, 2/17
Let t(d) be the first derivative of 3/5*d**5 - 1/2*d**6 + 0*d**2 + 3*d**3 + 15/4*d**4 + 0*d + 86. Determine c, given that t(c) = 0.
-1, 0, 3
Let p be 9 + 5/90*-4*6 + (-258)/36. Suppose b = 3*t - 5, 8 = -4*b - 12. Find l such that -p*l**4 - 1/4*l - 3/4*l**5 + t + l**3 + 1/2*l**2 = 0.
-1, 0, 1/3, 1
Let q be (-6)/24*20 + (-22)/(-2). Let y be ((-25)/375)/((-1)/q). Factor -y*c**2 - 2/5*c**3 + 0 + 2/5*c**4 + 2/5*c.
2*c*(c - 1)**2*(c + 1)/5
Let f(l) be the second derivative of 5*l**5/4 + 310*l**4/3 - 1550*l**3/3 + 520*l**2 + 2*l + 956. Let f(x) = 0. Calculate x.
-52, 2/5, 2
Let i be (2/6)/((-3)/(-27)). Suppose -3*g - 4*y + 10 = 0, -9968*g + y = -9972*g + 9. Factor -3/2*f**2 + 2 - f**i + 1/2*f**4 + g*f.
(f - 2)**2*(f + 1)**2/2
Solve -107163/4 - 3/4*o**2 - 567/2*o = 0.
-189
Let r = -114 - -113. Let m be (r - 0)*0/37. Factor -3/2*x**2 + m + 9/2*x**3 - 3*x.
3*x*(x - 1)*(3*x + 2)/2
Let y(c) be the first derivative of -6/25*c**5 - 40 + 0*c - 1/10*c**6 + 2/5*c**3 + 3/10*c**2 + 0*c**4. Factor y(i).
-3*i*(i - 1)*(i + 1)**3/5
Let c = -2839 + 909. Let k = c + 13525/7. Factor 0 - 3*b**2 - k*b**4