0*c = 2*t + k*c - 294. Factor 263 + 5*s**2 + t - 4 - 90*s.
5*(s - 9)**2
Let i be 0 + (-8748)/(-297) + -28. Factor 2/11*s**2 + 32/11 + i*s.
2*(s + 4)**2/11
Let f(m) = -2*m**4 - 14*m**3 + 172*m**2 - 117*m - 1149. Let c(y) = -3*y**4 - 32*y**3 + 344*y**2 - 235*y - 2299. Let b(k) = 3*c(k) - 5*f(k). Factor b(d).
(d - 16)*(d - 6)**2*(d + 2)
Let l(d) be the second derivative of 8*d**4/33 - 40*d**3/11 + 225*d**2/11 - 34*d. Factor l(i).
2*(4*i - 15)**2/11
Let p(j) = -5*j**2 + 1115*j + 3. Let o be p(223). Determine i so that -3/2*i**o - 3/4*i**5 - 9/4*i**4 + 0*i**2 + 0 + 0*i = 0.
-2, -1, 0
Let p = -203 - -206. Suppose 7 + 13 = 3*f - 4*k, -p*f = 5*k + 25. Solve -4/9*r**2 + r**3 + 2/3*r**4 + f - 4/3*r + 1/9*r**5 = 0 for r.
-3, -2, 0, 1
Factor -5109*m**3 - 483 - 5115*m**3 - 629 - 2228*m - 1120*m**2 + 10220*m**3.
-4*(m + 1)**2*(m + 278)
Let s(k) be the third derivative of -k**7/42 + 11*k**6/24 - 35*k**5/12 + 125*k**4/24 + 1669*k**2. Factor s(w).
-5*w*(w - 5)**2*(w - 1)
Let s = -8 - -9. Let n(x) = 14*x**3 - 20*x**2 + 4*x. Let q(v) = v**3. Let j = 32 + -37. Let b(p) = j*q(p) + s*n(p). Solve b(r) = 0.
0, 2/9, 2
Let j(s) = 3635*s + 25449. Let v be j(-7). Suppose 3*w = -2*w + 10. Factor 5/6*y**v + 1/3*y + 0 - 1/3*y**3 - 5/6*y**w.
y*(y - 1)*(y + 1)*(5*y - 2)/6
Suppose -9*o + 8*o + 35 = -4*y, -2*o = 3*y + 18. Solve 2/5*d**4 + 282/5*d**2 + 88*d + 44/5*d**o + 40 = 0.
-10, -1
Let m(f) be the second derivative of -3*f**5/20 - 5*f**4/4 + 25*f**3 - 1056*f. Factor m(w).
-3*w*(w - 5)*(w + 10)
Let o(i) = 11*i**4 - 13*i**3 - 39*i**2 - 37*i - 13. Let r(p) = 7*p**4 - 12*p**3 - 37*p**2 - 38*p - 14. Let h(a) = 2*o(a) - 3*r(a). Factor h(j).
(j + 1)**2*(j + 4)**2
Let j = -47349/55 - -861. Let p = j + 123/385. Factor -3/7 + 3/7*i + p*i**2 - 3/7*i**3.
-3*(i - 1)**2*(i + 1)/7
Let w(k) be the third derivative of k**6/360 - k**5/12 - 4*k**4/3 - 40*k**3/9 + 427*k**2. Let w(c) = 0. What is c?
-4, -1, 20
Let j be ((-144)/40)/((-6)/(-2060)). Let p = 6187/5 + j. Factor -13/5*z - p*z**3 + 1/5*z**4 + 4/5 + 3*z**2.
(z - 4)*(z - 1)**3/5
Factor 0 - 43/4*w + 11*w**2 - 1/4*w**3.
-w*(w - 43)*(w - 1)/4
Let s(y) = 60*y**3 + 825*y**2 + 32716*y - 105851. Let c(k) = 11*k**3 + 165*k**2 + 6544*k - 21170. Let g(m) = -11*c(m) + 2*s(m). Factor g(z).
-(z - 3)*(z + 84)**2
Let b(r) = r**4 - r**3 - r**2 + 1. Let x(y) = -y**5 + 8*y**4 - 8*y**3 - 6*y**2 + 5*y + 2. Let a = 886 - 887. Let m(k) = a*x(k) + 4*b(k). Factor m(s).
(s - 2)*(s - 1)**3*(s + 1)
Find y such that -621/5*y - 31 - 469/5*y**2 - 3/5*y**3 = 0.
-155, -1, -1/3
Let k(b) = -23*b**2 + 222*b - 396. Let c(l) = 27*l**2 - 249*l + 396. Let v(x) = -6*c(x) - 7*k(x). Suppose v(o) = 0. What is o?
-66, 6
Let c = 28688 - 28686. Let s(d) be the first derivative of -2/9*d**3 - 1/12*d**4 - 28 + 0*d - 1/6*d**c. Factor s(w).
-w*(w + 1)**2/3
Let d(n) = -n**2 + 6*n + 82. Let c be d(-6). Suppose -153*p**3 - c + 5*p + 3*p**2 + 7*p**2 + 148*p**3 = 0. What is p?
-1, 1, 2
Let y(g) be the second derivative of 9/20*g**4 + 1/210*g**7 + 6/5*g**2 + 0 - 1/20*g**5 - 1/50*g**6 - 16/15*g**3 + 123*g. Solve y(n) = 0.
-3, 1, 2
Let t(s) be the first derivative of -s**4/26 + 4*s**3/3 + 85*s**2/13 + 116*s/13 + 2254. Factor t(h).
-2*(h - 29)*(h + 1)*(h + 2)/13
Suppose 21*k - 39 - 3 = 0. Factor -h**4 + 32*h**2 - 14*h**k - 17*h**2.
-h**2*(h - 1)*(h + 1)
Find f such that 202/9*f**2 + 4802/3 + 2/9*f**3 + 5390/9*f = 0.
-49, -3
Let u = -56/39 - -32918/273. Let v = u + -118. Suppose -v*i + 4/7*i**2 + 0 = 0. What is i?
0, 2
Determine r so that 156 - 6*r**2 - 1038*r**3 + 527*r**3 + 583*r**3 + 2*r**4 - 117*r - 95*r - 12 = 0.
-36, -2, 1
Let m(f) be the third derivative of -1/4*f**3 + 0*f - f**2 + 6 - 1/12*f**4 - 1/120*f**5. Determine q, given that m(q) = 0.
-3, -1
Let s = 560932 + -560929. Let h = -33 - -57. Solve 15*q**4 + 9 - h*q**2 - 3/2*q - 3*q**s + 9/2*q**5 = 0.
-3, -1, 2/3, 1
Let d = -10947 + 10951. Let f(v) be the first derivative of 21 - 5/11*v**2 + 1/11*v**d - 2/33*v**3 - 4/11*v. Factor f(r).
2*(r - 2)*(r + 1)*(2*r + 1)/11
Suppose 20*b = 27*b - 4557. Solve 5*a**3 + 75*a + b + 0*a**3 + 45*a**2 - 616 = 0 for a.
-7, -1
Factor -1/3*g**2 + 102*g + 0.
-g*(g - 306)/3
Let o(f) be the third derivative of f**6/900 + f**5/25 + 59*f**4/180 - 26*f**3/15 + 1725*f**2. Factor o(l).
2*(l - 1)*(l + 6)*(l + 13)/15
Let l(w) be the first derivative of -w**7/14 - w**6/30 + w**5/10 - 84*w + 117. Let m(v) be the first derivative of l(v). What is g in m(g) = 0?
-1, 0, 2/3
Let b(j) be the first derivative of -j**4/24 + j**3/6 + 73*j**2/12 + 55*j/2 - 2418. Solve b(o) = 0 for o.
-5, -3, 11
Let o = -200 + 232. Suppose 2 = -15*r + o. Factor -3/8 - 1/2*h + 1/8*h**4 + 1/2*h**3 + 1/4*h**r.
(h - 1)*(h + 1)**2*(h + 3)/8
Let k be (-6 - 1)*(-96)/56. Suppose -l - k = -5*l. Factor -3*x**2 - x**2 - 3*x - x**5 + x + 4*x**4 + l*x**5.
2*x*(x - 1)*(x + 1)**3
Let a(h) be the third derivative of -h**7/525 - h**6/150 + 7*h**5/150 - h**4/15 + 903*h**2. Factor a(k).
-2*k*(k - 1)**2*(k + 4)/5
Suppose -26*d + 38*d - 48 = 0. Factor -4*o**4 - 2*o + 0*o**d + 12 - 17*o**2 - 16*o**3 + 33*o**3 - 6*o + 0*o.
-(o - 2)**2*(o - 1)*(4*o + 3)
Solve -4831*w + 495 + 11464*w - 3691*w - 4422*w - 15*w**2 = 0.
-99, 1/3
Let r(y) be the third derivative of y**7/70 + 11*y**6/8 + 19*y**5/4 - 595*y**4/8 - 318*y**3 + 9641*y**2. Determine l, given that r(l) = 0.
-53, -4, -1, 3
Factor 33/4*g**2 + 84 + 1/4*g**3 + 115/2*g.
(g + 2)*(g + 7)*(g + 24)/4
Factor -478/13*h - 8/13*h**2 + 2/13*h**3 - 36.
2*(h - 18)*(h + 1)*(h + 13)/13
Let s = -415 + 417. Factor 25*v**3 - 16*v**s - 430*v - 19*v**2 + 440*v.
5*v*(v - 1)*(5*v - 2)
Let q(c) = -c**2 - 13*c - 38. Let f be q(-8). Let n = 173 - 1555/9. Determine y, given that -n*y**f + 4/9*y + 0 = 0.
0, 2
Let w = -15 + -13. Let p = 36 + w. Let -u**3 + p*u - u + 9*u - 3*u**3 = 0. Calculate u.
-2, 0, 2
Let v(c) be the first derivative of 70 + 7/3*c**2 - 20/3*c - 2/9*c**3. Factor v(r).
-2*(r - 5)*(r - 2)/3
Let y(i) be the third derivative of -1/330*i**5 - 5*i - 11*i**2 + 15/11*i**3 - 1/3*i**4 + 0. Find c, given that y(c) = 0.
-45, 1
Let g(o) = -2*o**2 + 34*o - 53. Let l be g(15). Find f such that -34*f**3 - 11*f**3 - l*f**2 + 19*f**2 - 17*f**2 = 0.
-1/9, 0
Let j be 5/(-6 - 4) + 10/4. Factor -171*b**2 + 315*b**j - 5*b**3 - 7*b - 157*b**2 + b**4.
b*(b - 7)*(b + 1)**2
Let l(u) = -u**3 + 13*u**2 + 167*u + 23. Let p be l(21). Factor -12/7 - 8/7*o**p + 20/7*o.
-4*(o - 1)*(2*o - 3)/7
Let j(g) be the first derivative of g**4/32 - 11*g**3/24 - 3*g**2/4 + 2221. Factor j(w).
w*(w - 12)*(w + 1)/8
Let b(h) be the third derivative of -8368/255*h**5 - 1321/255*h**6 + 33*h**2 - 2048/51*h**3 - 2752/51*h**4 + 0*h - 25/2856*h**8 - 124/357*h**7 + 0. Factor b(s).
-2*(s + 8)**3*(5*s + 2)**2/17
Let b(y) = 133*y - 34. Let r be b(1). Let m be 28/(-154) - (-40)/r. Factor m*k**3 + 0 + 4/9*k + 2/3*k**2.
2*k*(k + 1)*(k + 2)/9
Let i(v) be the second derivative of 1/26*v**4 + 1/130*v**5 - 2*v + 0*v**2 - 30 + 0*v**3. Factor i(w).
2*w**2*(w + 3)/13
Let k(n) = -n**2 + 17*n - 60. Let a be k(12). Factor a*b**2 + 1659*b**4 - 1664*b**4 - 10*b**3 - 5*b**2.
-5*b**2*(b + 1)**2
Let m = 7986 + -55899/7. Let d(v) be the second derivative of -m*v**5 - 4/7*v**2 + 11/42*v**4 + 0 + 4/7*v**3 - 5/21*v**6 - 5*v. Factor d(p).
-2*(p + 1)**2*(5*p - 2)**2/7
Let r(y) be the first derivative of -52*y**3/3 - 1400*y**2 + 432*y + 574. Suppose r(i) = 0. What is i?
-54, 2/13
Suppose -3*k = 8*k - 462. Factor -32*o + 8*o**3 - 16*o**4 + k*o**4 - 13*o**4 + 16 - 8*o**4 - 9*o**4 + 12*o**2.
-4*(o - 2)*(o - 1)**2*(o + 2)
Let f be (6/(-21) - 31404/336)*117/(-585). Factor -f*s - 15/4*s**2 - 1/4*s**3 - 125/4.
-(s + 5)**3/4
Let k be 16686/(-721)*(-5)/((-75)/(-10)). Factor k + 50/7*v - 2/7*v**2.
-2*(v - 27)*(v + 2)/7
Let c(b) be the third derivative of -7*b**6/30 - b**5/6 + 17*b**4/12 + 8*b**3/3 + 3*b**2 - 1941*b. Factor c(l).
-2*(l + 1)*(2*l + 1)*(7*l - 8)
Factor -413542*f + 414566*f - 265 - 743 - 268*f**2 + 4*f**3.
4*(f - 63)*(f - 2)**2
Let o(k) be the second derivative of 175*k**7/18 - 18*k**6 - 359*k**5/60 + 109*k**4/6 + 62*k**3/9 - 4*k**2 - 5*k - 40. What is q in o(q) = 0?
-2/5, 6/49, 1
Let t = 154 + -150. Factor 3*l**2 + t*l**2 + 3*l**3 - 22*l**2 + 9*l**2.
3*l**2*(l - 2)
Let f(n) = 20*n**2 - 31*n - 761. Let z be f(7). Let -4 - 50/3*c - 14*c**z + 2*c**4 + 2/3*c**3 = 0. What is c?
-2, -1, -1/3, 3
Let a be (7