= -4314*r. Factor -1/2*n**r - w*n**3 + 3/4*n + 0.
-n*(n - 1)*(n + 3)/4
Let -13*w**2 - 22103*w + 2024*w - 921*w + 22050000 - 9*w**2 + 27*w**2 = 0. Calculate w.
2100
Let l = -1519 - -1519. Let s(w) be the second derivative of -9*w + l*w**3 + 0*w**2 - 1/12*w**4 + 1/40*w**5 + 0. Factor s(q).
q**2*(q - 2)/2
Let b(f) = -14*f**4 - 400*f**3 - 12323*f**2 - 23458*f - 11532. Let j(h) = h**4 + 2*h**3 + 4*h**2 + 2*h. Let y(p) = -b(p) - 11*j(p). Factor y(u).
3*(u + 1)**2*(u + 62)**2
Let d be (-35)/(-10)*48/28. Determine a so that d - a - 5*a + 3933*a**2 + 2 - 3932*a**2 = 0.
2, 4
Let f = 5 + -1. Let v be 14/8 - (-24)/96. Determine j, given that 3*j**5 - 3*j + j**5 - j**5 - 6*j**f + 6*j**v = 0.
-1, 0, 1
Let h = 85/124 + 2/31. Let z(s) be the third derivative of 0*s + 0 - 1/80*s**6 - s**2 + 5/16*s**4 + h*s**3 + 1/40*s**5. Factor z(p).
-3*(p - 3)*(p + 1)**2/2
Let a(x) be the second derivative of x**7/420 + x**6/80 + x**5/60 + 116*x**2 + 105*x + 1. Let l(z) be the first derivative of a(z). Let l(u) = 0. Calculate u.
-2, -1, 0
Let p(u) be the third derivative of -u**6/60 - 713*u**5/30 - 42245*u**4/4 + 42483*u**3 - 161*u**2 - 6. Suppose p(c) = 0. What is c?
-357, 1
Suppose -3*w - 5*x = -13, 4*x = 2*w + w + 5. Let b be ((-57)/133)/(w/(-7)). Let t**2 - 14*t + 30*t**3 + t**2 + 7*t + b*t = 0. What is t?
-2/5, 0, 1/3
Let v(q) be the third derivative of -q**7/420 + 31*q**6/240 - q**5/4 - 58*q**2 - 2*q + 12. Factor v(l).
-l**2*(l - 30)*(l - 1)/2
Factor -4772/5*g + 2846498/5 + 2/5*g**2.
2*(g - 1193)**2/5
Let t be (90/12)/(6/2)*136/51. Factor -8/3*d**3 + 2/3*d**4 + t*d - 2*d**2 + 16/3.
2*(d - 4)*(d - 2)*(d + 1)**2/3
Suppose -12*y + 4*y = -496. Suppose -y - 42 = -4*n. Suppose -20 - 493*v + 2*v**4 + 40*v**3 + n*v**4 - 8*v**2 + 449*v + 4*v**5 = 0. Calculate v.
-5, -1, 1
Let p(z) be the third derivative of -z**7/1260 + z**6/80 - 23*z**5/360 + z**4/48 + z**3 + 5446*z**2. Factor p(a).
-(a - 4)*(a - 3)**2*(a + 1)/6
Let a(m) be the first derivative of m**6/2 + 9*m**5/5 - 3*m**4/4 - 3*m**3 + 1046. Find f such that a(f) = 0.
-3, -1, 0, 1
Suppose 0 = u + 5*v + 72, -129*v = 2*u - 125*v + 54. Determine j, given that 10*j**u + 5/2*j**2 - 10*j - 5/2*j**4 + 0 = 0.
-1, 0, 1, 4
Solve -46778*j**2 - 48*j**4 + 47054*j**2 + 52*j**4 - 1568 + 56*j - 64*j**3 = 0.
-2, 4, 7
Let y be (352/(-160))/(1/(-5)). Let w(v) = 3*v**2 - 3*v. Let l(q) = -17*q**2 + 16*q. Let o(c) = y*w(c) + 2*l(c). Solve o(b) = 0.
-1, 0
Factor 2/11*r**3 + 134/11*r**2 + 0 + 384/11*r.
2*r*(r + 3)*(r + 64)/11
Let c be (-12)/15*((-7)/2 - -1). Factor -10*y**2 - 105*y**3 - y**2 + 10*y + 6*y**5 - 51*y**5 - 9*y**2 - 125*y**4 + 5*y**c.
-5*y*(y + 1)**3*(9*y - 2)
Find x such that -89*x**5 + 191*x**5 - 8096 + 307182*x**3 - 533100*x**2 - 400050*x**2 + 937023*x - 304891 + 1929*x**4 - 99*x**5 = 0.
-323, 1
Let a(f) = -3*f - 16. Let x = -13 - -7. Let o be a(x). Factor 12*d - 3*d**o - 5*d + 6 - 2*d - 2*d.
-3*(d - 2)*(d + 1)
Let g(m) be the first derivative of m**6/39 + 62*m**5/65 + 76*m**4/13 - 2672*m**3/39 + 2448*m**2/13 - 2592*m/13 - 344. Let g(c) = 0. What is c?
-18, 1, 2
Let c(t) be the second derivative of -1/40*t**6 + 0*t**4 + 0*t**2 + 1/56*t**7 - 9/40*t**5 - 261*t + 0 + 0*t**3. Factor c(s).
3*s**3*(s - 3)*(s + 2)/4
Let 336/11 + 2/11*t**3 - 100/11*t - 38/11*t**2 = 0. What is t?
-4, 2, 21
Let d(n) be the third derivative of n**6/180 - n**5/15 + n**4/4 - n**3/6 - 2*n**2 + 18. Let z(t) be the first derivative of d(t). Find r such that z(r) = 0.
1, 3
Let f(c) be the third derivative of 5*c**8/336 - 11*c**7/7 + 757*c**6/12 - 1113*c**5 + 50715*c**4/8 - 15435*c**3 + 579*c**2. Factor f(w).
5*(w - 21)**3*(w - 2)*(w - 1)
Let n = -341 + 329. Let h(t) = t**2 + 12*t + 4. Let m be h(n). Factor p**3 + 0*p**2 - 1/2*p**m - p + 1/2.
-(p - 1)**3*(p + 1)/2
Let o(z) be the first derivative of -z**3/15 - 127*z**2/10 - 126*z/5 + 1014. Suppose o(h) = 0. Calculate h.
-126, -1
Factor 48*f**2 - 3840 - 158*f**2 - 65*f**2 - 8*f**3 + 3*f**3 - 1760*f.
-5*(f + 3)*(f + 16)**2
Suppose -207*d + 86 + 54 = -137*d. Solve 1/3*h**d - 4/3 + 1/3*h**3 - 4/3*h = 0 for h.
-2, -1, 2
Let 637/4*x - x**2 - 159/4 = 0. What is x?
1/4, 159
Let p = 9974 - 9971. Factor 14/15*c**p - 4*c**2 - 4/5 + 58/15*c.
2*(c - 3)*(c - 1)*(7*c - 2)/15
Let p(q) be the second derivative of q**8/7560 - q**7/1890 + q**6/1620 + 19*q**3/6 + q - 3. Let j(l) be the second derivative of p(l). Factor j(x).
2*x**2*(x - 1)**2/9
Suppose 0 = 4*s - 5*n - 10, 0*s + 9 = s + 2*n. Suppose -q - 30 = 2*r - 38, 0 = 5*q. Factor 14*m**2 + 13*m + 3*m**r + s*m**4 - 9*m + 14*m**3 - 4*m**4.
2*m*(m + 1)*(m + 2)*(2*m + 1)
Let n(y) = -163*y - 212. Let r be n(12). Let l be (r/(-168) - 12) + 2/3. Factor 2/7 - l*h**2 - 5/7*h - 4/7*h**3.
-(h + 1)*(h + 2)*(4*h - 1)/7
Factor -800 - 1608*m**3 - 385*m**2 + 288*m**3 + 1340*m**3 + 1090*m.
5*(m - 16)*(m - 2)*(4*m - 5)
Let g(n) = -n**2 + 9*n. Let s(c) = 10*c - 2*c**2 - 9 + 9. Let k = 7 + -1. Let j(d) = k*g(d) - 5*s(d). Factor j(i).
4*i*(i + 1)
Let q = 100 + -136. Let i be q/9*(10/(-8) - 0). Determine x so that 5*x - 3 - 35*x**3 + 35*x**2 - 14 + 3 + 4 + 10*x**i - 5*x**4 = 0.
-2, -1/2, 1
Factor 138/5*o + 0 - 3/5*o**2.
-3*o*(o - 46)/5
Find q, given that 159/7*q**3 - 636/7*q + 834/7*q**2 - 3384/7 + 3/7*q**4 = 0.
-47, -6, -2, 2
Factor -183*k**2 + 39*k**2 - 148*k - 263*k**3 + 138*k**3 + 129*k**3.
4*k*(k - 37)*(k + 1)
Solve -156*p**2 + 3*p**5 - 67*p**3 - 33*p**4 + 66*p**3 + 115*p**3 + 72*p + 0*p**4 = 0.
0, 1, 2, 6
Factor -113 + 150*j**2 + 5*j**3 + 15146*j - 307 - 14881*j.
5*(j - 1)*(j + 3)*(j + 28)
Find d, given that 35*d**2 + 64848*d + 6360 - 25091*d - 17487*d = 0.
-636, -2/7
Let t(c) = -19*c**4 - 21*c**3 + 6*c**2 - 12. Let p(g) = -3*g**4 - 2*g**3 + g**2 - 2. Let q(u) = 6*p(u) - t(u). Factor q(n).
n**3*(n + 9)
Let n be 28/4 - 7 - -12. Factor -25*l**4 + 6*l**3 - n*l**3 + 16*l**3 - 15*l**5.
-5*l**3*(l + 2)*(3*l - 1)
Let g(v) be the third derivative of -v**5/30 + 5*v**4/8 + 13*v**3/6 - 32*v**2. Let s be g(8). Factor 11*h**4 - 3*h**4 - 2*h**4 - 8*h**2 - 2*h**s.
-2*h**2*(h - 2)**2*(h + 1)
Let t(l) be the second derivative of 3*l**5/20 - 39*l**4/2 - 159*l**3/2 - 120*l**2 + 3*l + 84. Suppose t(x) = 0. Calculate x.
-1, 80
Let u(y) be the second derivative of y**4/54 - 83*y**3/27 - 86*y**2/3 - 898*y. Let u(g) = 0. What is g?
-3, 86
Let w(k) = k**3 + 10*k**2 + 4*k - 42. Let l be w(-9). Let x be 1 - ((-36)/(-40))/9*-6. Factor 12/5 + x*m**2 - 22/5*m + 2/5*m**l.
2*(m - 1)**2*(m + 6)/5
Let f be ((-7)/4 - -2) + 220/16. Determine j so that -87*j**5 - f*j**4 + 89*j**5 + 16*j**3 + 2*j**4 = 0.
0, 2, 4
Suppose 2*s = -4*a + 4, -3*s + 4 = 3*a - 5. Let h be a/(-2) + 194/4. Determine c so that -2*c**2 - 60*c - 14*c**2 + 105*c**3 - h*c**2 + 20 = 0.
-2/3, 2/7, 1
Suppose l - 2 = 0, -5*l + 33 = 4*q - 5. Let g be (-1)/q + (-221)/(-714). Factor -1/6 + 1/6*k**2 - 1/6*k + g*k**3.
(k - 1)*(k + 1)**2/6
Let n be -2 + (-5 + 1 - -6)*2. Suppose 3*s**3 + 12*s - 36*s**n + 1 + 15 + 4*s**3 + s**3 = 0. What is s?
-1/2, 1, 4
Suppose 0 = -6*m + m + 10. Suppose w + 3 + 2 = 3*d, -m*d - 4*w = -8. Let 0 + 14/3*n**4 + 0*n - 8*n**3 - 8/3*n**d = 0. Calculate n.
-2/7, 0, 2
Factor -s**3 + 24 - 8 - 167*s + 41 - 2 + 55 + 58*s**2.
-(s - 55)*(s - 2)*(s - 1)
Factor -12346/15*s + 8/15*s**2 + 3086/15.
2*(s - 1543)*(4*s - 1)/15
Let c(f) be the third derivative of f**8/560 - 12*f**7/175 + 199*f**6/200 - 156*f**5/25 + 56*f**4/5 - 2*f**2 - 4*f - 49. Determine w, given that c(w) = 0.
0, 1, 7, 8
Let t(x) be the first derivative of 1/2*x**2 + 7/8*x**4 + 9/80*x**5 + 25/24*x**3 + 6*x + 9. Let q(p) be the first derivative of t(p). Factor q(h).
(h + 4)*(3*h + 1)**2/4
Let j = 8 + 11. Suppose 0 = -18*u + j*u. Factor -17*q**2 - 2*q + u*q + 0*q**4 - 5*q**4 - 11*q**4 - 40*q**3.
-q*(q + 2)*(4*q + 1)**2
Factor -15*c**2 - 9 - 69/2*c.
-3*(c + 2)*(10*c + 3)/2
Let i(u) be the third derivative of -1/1080*u**6 + 200/27*u**3 - 55/27*u**4 + 0*u + 14*u**2 + 0 + 41/540*u**5. Let i(z) = 0. What is z?
1, 20
Let l(n) be the first derivative of -n**6/90 - 8*n**5/45 - 11*n**4/18 + 40*n**3/9 - 109*n**2 + 134. Let h(o) be the second derivative of l(o). Factor h(d).
-4*(d - 1)*(d + 4)*(d + 5)/3
Let g(m) = -m**2 - 3*m. Let i(v) = 5*v**2 + 27*v + 70. Let c(o) = 6*g(o) + i(o). Find z, given that c(z) = 0.
-5, 14
Suppose z + 10 = 2*w, -5*z + 1 = -3*w + 2. Suppose m + d = 1, 5 = 12*d - w*d. What is u in