 4947*u**5/4 - 469775*u**4/24 + 66125*u**3 - 2*u**2 + u + 338. Factor m(p).
5*(p - 115)**2*(p - 6)*(p - 1)
Let q(h) be the third derivative of 0*h**3 - 57*h**2 + 0*h + 1/80*h**5 - 5/32*h**4 + 0. Factor q(c).
3*c*(c - 5)/4
Suppose -55*s = 256*s - 622. Solve -128/13*r + 190/13*r**s - 50/13*r**3 + 24/13 = 0 for r.
2/5, 3
Let m(x) be the second derivative of x**4/60 - 389*x**3/30 - 1449*x - 2. Factor m(k).
k*(k - 389)/5
Let j = 91936 + -91933. Suppose -4/5*p**2 - 8/5*p + 16/5 + 2/5*p**j = 0. Calculate p.
-2, 2
Let d(j) be the second derivative of j**7/210 + j**6/25 - 29*j**5/100 - 33*j**4/10 - 166*j**3/15 - 84*j**2/5 - 6401*j. Find v, given that d(v) = 0.
-7, -2, -1, 6
Let g(p) = 3*p**2 + 16*p + 18. Let h be g(0). Let l(s) be the first derivative of 1/13*s**2 - 2/39*s**3 + 0*s + h. Let l(c) = 0. What is c?
0, 1
Let f be (-11180)/(-560) - 16/(-448). Let v(o) be the first derivative of -10/7*o + 2/21*o**3 - f - 4/7*o**2. Factor v(s).
2*(s - 5)*(s + 1)/7
Suppose 3*y - 2*q + 0*q = 23, y = q + 9. Let v = 23 - 18. Factor -8*c**4 - 2*c**y + 4*c**4 + v*c**4 - c**5.
-c**4*(3*c - 1)
Let q(y) = -25*y**2 + 698*y + 61. Let u be q(28). Let g(m) be the first derivative of 1/3*m**3 + 1/4*m**4 + 0*m - 1/2*m**2 + 18 - 1/5*m**u. Factor g(t).
-t*(t - 1)**2*(t + 1)
Suppose b - r = -b + 4, b = -r + 8. Let m(i) be the second derivative of -5/12*i**b + 0 + 17*i - 5/2*i**2 + 5/3*i**3. Factor m(p).
-5*(p - 1)**2
Let x(o) = 762*o - 22858. Let v be x(30). Find s, given that 15/2*s - 6*s**5 - 12*s**v + 51/4*s**4 - 3/2*s**3 - 3/4 = 0.
-1, 1/8, 1
Let m(a) = -34*a**3 - 6*a**2 + 244*a - 236. Let j(c) = 16*c**3 + 2*c**2 - 2. Let t(v) = 4*j(v) + 2*m(v). Factor t(z).
-4*(z - 10)*(z - 1)*(z + 12)
Suppose -4*x + 2*z = -0*x - 96, -24 = -x - 4*z. Factor -30*h**2 + 113*h - 167*h - 3*h**2 + x*h**3 + 3*h**4.
3*h*(h - 2)*(h + 1)*(h + 9)
Let i(n) = -n**3 + 3*n**2 + 289*n + 277. Let b(w) = -w**3 + 577*w + 556. Let t(o) = -2*b(o) + 5*i(o). Solve t(s) = 0 for s.
-7, -1, 13
Let t be (21/28)/((-5)/50 - -1). Let l(a) be the second derivative of 1/6*a**6 + 0*a**2 - t*a**3 + 38*a + 0 + 1/4*a**5 - 5/12*a**4. Factor l(z).
5*z*(z - 1)*(z + 1)**2
Suppose q = 2*b - 21, b - 16 = q - 4. Suppose -35 = -b*n + 10. Suppose -1/7*o**n - 8/7*o - 18/7*o**3 + 20/7*o**2 + o**4 + 0 = 0. What is o?
0, 1, 2
Let b(a) = -13*a + 111. Let f be b(0). Let y = 114 - f. Determine t, given that 10*t**3 + 3*t - 4*t - 17*t**3 + 8*t**y = 0.
-1, 0, 1
Let z(k) = 2*k**2 + k. Let w(o) = -3*o**2 + 463*o - 53824. Let l(t) = w(t) + z(t). Suppose l(g) = 0. Calculate g.
232
Let w(u) be the third derivative of -u**6/240 + 71*u**5/120 + 73*u**4/24 - 2060*u**2. Factor w(b).
-b*(b - 73)*(b + 2)/2
Suppose 4*r = -r. Let h be 24/156 - (68/(-56))/(26/12). Let r - 1/7*t**5 + h*t**4 + 0*t + 4/7*t**2 - 8/7*t**3 = 0. What is t?
0, 1, 2
Let k(x) be the third derivative of x**5/180 - 8*x**4/9 + 1359*x**2. Factor k(b).
b*(b - 64)/3
Let f(y) be the second derivative of -y**4/36 - 19*y**3/18 - 10*y**2 - 4*y - 4. Factor f(q).
-(q + 4)*(q + 15)/3
Let z(w) = 5*w + 17. Let a be z(9). Let x = a + -51. Factor 3*o**2 - 1 + x*o**2 + 10*o - 3.
2*(o + 1)*(7*o - 2)
Let j be (97 + -7)/((-4)/(16/3)). Let o be (-25)/(-10)*(-64)/j. Factor 5/3*u**2 + o + 4*u.
(u + 2)*(5*u + 2)/3
Let h(f) = f + 43*f**2 + f**3 + 17 + 0*f - 29*f**2. Let p be h(-14). Let -p*u + 3*u + 12*u + 4*u**2 - u**2 = 0. Calculate u.
-4, 0
Let m(l) = 2*l**5 + 2*l**3 - l**2 - 2*l. Let o(k) = 11*k**5 - 7*k**4 + 54*k**3 - 32*k**2 - 53*k + 33. Let f(q) = -6*m(q) + o(q). Suppose f(s) = 0. Calculate s.
-11, -1, 1, 3
Let o(i) be the third derivative of -i**8/108 + 100*i**7/189 + 302*i**6/135 + 152*i**5/135 + 1784*i**2 - 2*i. Suppose o(y) = 0. What is y?
-2, -2/7, 0, 38
Suppose g - 17*i = -13*i - 9, 2*i = -g - 3. Let b be (-162)/(-36)*(g + 3)/(-6). Factor 3/4*z**3 + b - 3/4*z - 3/2*z**2.
3*(z - 2)*(z - 1)*(z + 1)/4
Suppose 5*f + 5*f = -1200. Let b be f/(-27)*(-3)/(-5). Factor -b*a**3 - 8/3*a - 2/3 - 4*a**2 - 2/3*a**4.
-2*(a + 1)**4/3
Let c be -15*5/(-15)*(-12 + 3536/255). Factor -c*o + 4/3*o**3 + 0*o**2 - 8.
4*(o - 3)*(o + 1)*(o + 2)/3
Let v(w) = -w**2 - 181*w - 2025. Let i be v(-12). Solve -8/15*s - 2/3*s**i - 32/15*s**2 + 0 + 14/15*s**4 = 0.
-1, -2/7, 0, 2
Let x(y) be the second derivative of -y**5/70 - 2*y**4/7 + 12*y**3/7 + 16*y**2 - 2*y + 877. Factor x(v).
-2*(v - 4)*(v + 2)*(v + 14)/7
Let b(v) = 3*v**2 - 13*v + 6. Suppose 33 = 9*h - 12. Let c be b(h). Factor -12 + 9*w**2 + c - 26*w + 13*w**2.
2*(w - 1)*(11*w - 2)
Suppose -o = 3*z - 6*o - 31, -z = -4*o - 1. Let s = z + -15. Solve -3*c**2 - 8*c**2 + 18 - 33*c + 5*c**s + 0 = 0.
-6, 1/2
Let x(v) be the second derivative of 2/39*v**3 + 1/39*v**6 - 4/65*v**5 - 31*v + 0*v**2 + 2 + 1/78*v**4. Factor x(g).
2*g*(g - 1)**2*(5*g + 2)/13
Let x be (-63)/(-17 + 24)*(-3)/9. Let q(n) be the first derivative of 1/3*n**2 + 3/8*n**4 + 0*n - 1/36*n**6 + 11/18*n**x + 1/30*n**5 + 2. Factor q(o).
-o*(o - 4)*(o + 1)**3/6
Let i be 144/56 - (-4)/(-7). What is q in 4 - 30*q**i + 6 - 3 + 2310*q**4 + 1670*q**3 + 362*q**5 + 25 + 520*q**5 - 240*q = 0?
-1, 4/21
Let a = 3/118862 + 178287/237724. Factor -1/8*x**3 + a*x**2 - 3 + 1/2*x.
-(x - 6)*(x - 2)*(x + 2)/8
Let b(w) = -164*w**2 + 518*w - 72. Let q(r) = 328*r**2 - 1037*r + 144. Let p(l) = -5*b(l) - 2*q(l). Factor p(y).
4*(y - 3)*(41*y - 6)
Let z = 8 + 34. Let i = -40 + z. Factor -2 + 9*p + 6*p**i - 3*p**5 + 6 - 9*p**4 - 1 - 6*p**3.
-3*(p - 1)*(p + 1)**4
Suppose 7 + 3 = 5*u. Factor -18 - 428*m**2 - 21*m**3 + 226*m**2 - m**4 + 145*m**u - 55*m.
-(m + 1)**3*(m + 18)
Let u be (0 - 1)/((-28)/(-672)*-12) + 0. Suppose 12/7*i + 12/7 - 45/7*i**u = 0. What is i?
-2/5, 2/3
Let i(f) be the first derivative of 2*f**6/3 - 4*f**5/5 - 21*f**4 + 60*f**3 + 1459. Factor i(r).
4*r**2*(r - 3)**2*(r + 5)
Let h(p) be the first derivative of -3*p**4/16 - 5245*p**3/4 - 2580048*p**2 - 5156163*p - 960. Factor h(k).
-3*(k + 1)*(k + 2622)**2/4
Suppose -3*x + 17*x = -42. Let n be (11 + -12)*0/x. Factor -16/3*t**3 + 0*t + n + 4/3*t**2.
-4*t**2*(4*t - 1)/3
Let y = 180 + -178. Factor -172*z**y - 16*z**3 + 8*z**4 - 26*z**3 - 14*z**3 + 4*z**3 - 72*z.
4*z*(z - 9)*(z + 2)*(2*z + 1)
Let z(w) be the first derivative of -w**6/360 + 3*w**5/20 - 27*w**4/8 + 13*w**3/3 - 59. Let r(i) be the third derivative of z(i). Factor r(b).
-(b - 9)**2
Factor 1/7*f**3 - 249/7*f - 24/7*f**2 - 32.
(f - 32)*(f + 1)*(f + 7)/7
Let m = 2/67049 + 4022894/1542127. Solve 0 - m*q + 76/23*q**3 + 118/23*q**2 + 10/23*q**4 = 0.
-5, -3, 0, 2/5
Let y(v) = 9*v**3 - 183*v**2 + 1287*v - 11. Let d(r) = -6*r**3 + 123*r**2 - 858*r + 7. Let m(n) = 11*d(n) + 7*y(n). Solve m(g) = 0 for g.
0, 11, 13
Let 3/8*v**2 - 3/8*v**4 - 9/2*v**3 + 9/2*v + 0 = 0. Calculate v.
-12, -1, 0, 1
Let p(z) = 3*z**5 + 2*z**4 + 47*z**3 - 5*z**2 - 45. Let l(q) = -2*q**5 - 46*q**3 + 4*q**2 + 36. Let i(b) = 5*l(b) + 4*p(b). Suppose i(s) = 0. What is s?
-7, 0, 3
Find s such that -5*s**3 + 60*s**2 + 43*s + 51 - 510 + 2*s - 641 + 0*s**3 = 0.
-4, 5, 11
Let p be 250029/94028 - (-24)/22. Factor -p*n**3 - 5/4*n**4 + 0*n + 0 - 5/2*n**2.
-5*n**2*(n + 1)*(n + 2)/4
Let a be 210/20*(-18)/(-27). Let g(r) be the third derivative of 0*r + 0*r**3 - 1/12*r**6 + 0*r**5 + 5/24*r**4 + 5/336*r**8 - 12*r**2 + 0 + 0*r**a. Factor g(w).
5*w*(w - 1)**2*(w + 1)**2
Let h = -256135 + 256137. Let v be ((-48)/(-20))/(2/2). Factor -h - 2/5*q**2 - v*q.
-2*(q + 1)*(q + 5)/5
Suppose -m = -2*t - 8, -3*t + 2*t = 3. Suppose -j + 2*a = 4*j - 17, -m*a = -3*j + 11. Factor -9*c**4 - 3*c**5 + 23*c**3 - 15*c**j - 14*c**3.
-3*c**3*(c + 1)*(c + 2)
Determine q, given that 545/2*q + 2030 - 5/2*q**2 = 0.
-7, 116
Suppose -j = 5*m - 35, 3*m = 2*j + 22770 - 22749. Factor j + 0*x - 3/2*x**2 - 3/2*x**3.
-3*x**2*(x + 1)/2
Let g = 423156 + -423154. Factor -3/4*w - 1/4*w**g - 1/2.
-(w + 1)*(w + 2)/4
Suppose 5*g = -3*s + 41, -663*g = 4*s - 658*g - 43. Factor -3/4*p**3 + 0 - 6*p**s + 15*p.
-3*p*(p - 2)*(p + 10)/4
Let c(n) be the first derivative of -78 - n**5 + 0*n + 0*n**2 - 5/4*n**4 + 0*n**3. Factor c(h).
-5*h**3*(h + 1)
Let d(t) = -t + 4. Let f be d(2). Solve 17*k**3 - 71*k**3 - 14 + f + 51*k**2 + 9*k**4 + 6*k**4 = 0 for k.
-2/5, 1, 2
Determine c, given that -1731*c**2 + 298781 - 494208*c + 324*c**2 + 196835 - c**3 = 0.
-704, 1
Let t = 336 - 331. Suppose -t*o = 35 - 45. Determine v, given that 