k**2 + 1664. Factor w(z).
-4*z*(z - 1)**3*(z + 1)
Let f be (-3398)/(-4290) - 12/20. Let o = f + -2/195. Find x, given that 0*x + 0*x**2 - 3/11*x**4 + 1/11*x**5 + 0 + o*x**3 = 0.
0, 1, 2
Let p = -55 + 119. Let i = p + -50. Factor -5 - 9 - 18*l + i + 3*l**2.
3*l*(l - 6)
Let s(w) be the first derivative of -w**8/336 + 3*w**7/56 - w**6/9 + w**3 + 4*w + 57. Let l(t) be the third derivative of s(t). Suppose l(f) = 0. Calculate f.
0, 1, 8
Let d(h) be the first derivative of -h**3/9 - 29*h**2/6 - 154*h/3 - 9007. Factor d(n).
-(n + 7)*(n + 22)/3
Let k(v) = -63*v**3 + 1. Let t(u) = 320*u**3 + 720*u**2 - 1500*u - 5845. Let z(x) = 5*k(x) + t(x). Solve z(i) = 0 for i.
-146, -2, 4
Suppose -239*m + 242*m - 15 = 0, 5*u = -3*m + 30. Factor -64/5*q**2 - 68/5 - 134/5*q + 2/5*q**u.
2*(q - 34)*(q + 1)**2/5
Factor -21*u - 303*u - 124*u - 42*u**2 - 3*u**2 + 47*u**2.
2*u*(u - 224)
Let v(h) be the second derivative of 0*h**5 - 7/48*h**4 + 1/120*h**6 + 0*h**2 + 1/4*h**3 + 1 - 8*h. Factor v(t).
t*(t - 2)*(t - 1)*(t + 3)/4
Let u(d) = -11*d**3 + 2*d**2 + 6*d + 15. Let w be u(-2). Let p = -97 + w. Suppose 1/5*h + 0 - 1/5*h**3 + 3/5*h**p - 3/5*h**4 = 0. Calculate h.
-1, -1/3, 0, 1
Let k(x) be the third derivative of -3721*x**5/20 + 61*x**4/4 - x**3/2 + x**2 - 165*x. Factor k(w).
-3*(61*w - 1)**2
Factor 3*a - 10 - 2451*a**3 + 3*a + 10*a**2 + 2486*a**3 - 41*a.
5*(a - 1)*(a + 1)*(7*a + 2)
Suppose -25*y**4 + 20*y + 0*y**2 - 5*y**5 + 25*y**2 - 89*y**3 + 21*y**3 + 53*y**3 = 0. What is y?
-4, -1, 0, 1
Let d(t) be the third derivative of -11*t**8/224 + t**7/210 + 33*t**6/80 + t**5/2 - t**4/12 - 1158*t**2. Let d(s) = 0. What is s?
-1, 0, 2/33, 2
Let j(m) be the first derivative of m**5/180 + 19*m**4/36 + 361*m**3/18 - 13*m**2 - m - 65. Let g(u) be the second derivative of j(u). Factor g(n).
(n + 19)**2/3
Let a be -1*(-2)/4*(-87 - -87). Let v(b) be the third derivative of -7/90*b**5 + 5/18*b**4 - 13*b**2 + a*b - 1/3*b**3 + 0. Factor v(w).
-2*(w - 1)*(7*w - 3)/3
Let u = -60 - -68. Suppose -395*y**2 - 1 + 7 + 397*y**2 + u*y = 0. Calculate y.
-3, -1
Let d be ((-36)/(-6 - -2))/1. Suppose 5*s + 3*b - 9 = 5*b, 4*s - b - d = 0. Factor -4/11 + 4/11*y**2 - 2/11*y + 2/11*y**s.
2*(y - 1)*(y + 1)*(y + 2)/11
Determine j so that 97328*j + 232960*j**2 - 592*j**4 + 59472*j - 516*j**4 + 50224*j**3 + 24824*j**3 + 4*j**5 = 0.
-2, -1, 0, 140
Let b be 6 - (-208)/(-36) - (0 - 5/180). Let d(h) = -h - 4. Let u be d(-4). Determine z, given that -b*z**2 + u + 1/2*z = 0.
0, 2
Let p(r) = -76*r + 535. Let f be p(7). Let v(z) be the first derivative of 5 - 2/7*z**f - 1/21*z**2 + 0*z. Solve v(w) = 0.
-1/9, 0
Let a(u) be the third derivative of 5*u**8/336 - 19*u**7/42 + 25*u**6/6 - 11*u**5 - u**2 + 248. Determine n, given that a(n) = 0.
0, 2, 6, 11
Suppose 4*c = -3*v + 14, -5*v + 3 + 15 = 4*c. Let b = -5850 + 5854. Solve -8*n + 15*n**b - 13*n**4 - 12*n**v + 2*n**4 = 0.
-1, 0, 2
Let -5/4*a**2 - 645/2*a - 83205/4 = 0. What is a?
-129
Factor -785*o**2 - 628*o + 161*o**2 + o**3 + 2*o**3 + o**3 + 0*o**3.
4*o*(o - 157)*(o + 1)
Suppose 112 = 5*r - 4*w, 0 = -5*r + 9*r + 3*w - 102. Suppose -r = -j - 16. Factor -4 - j + 4*t - 4*t**2 + 12*t.
-4*(t - 3)*(t - 1)
Let o be (180/42 - 7 - -3)/((-11)/(-77)). Solve -4*b + 4/3*b**3 + 0 - 8/3*b**o = 0.
-1, 0, 3
Suppose 0 = -7*t + 47 - 12. Suppose -6*b - 7 = 3*z - b, 50 = t*z - 4*b. Let -80*x**4 - z*x**3 + 8*x + 22*x**3 + 84*x**4 + 20*x**2 = 0. Calculate x.
-2, -1, 0
Let g be (-4*(-7)/(-2))/(2/(-53)). Factor -300*t - g - 60*t**2 + 6947*t**3 - 129 - 6951*t**3.
-4*(t + 5)**3
Factor -1370*f - 1876900 - 1/4*f**2.
-(f + 2740)**2/4
Let l(x) = -22*x - 62. Let m be l(-6). Let k = m - 68. Solve -2741 - 2*j**k + 2741 - 6*j = 0 for j.
-3, 0
Find l, given that -596*l**3 - 47579136*l + 594*l**3 + 1123*l**2 - 44660948992 - 3922*l**2 - 14097*l**2 = 0.
-2816
Find s, given that -319/5*s**2 - 24649 + 1/5*s**3 + 26219/5*s = 0.
5, 157
Let j = 35077 + -105133/3. Factor -28/3*s - 2/3*s**2 - j.
-2*(s + 7)**2/3
Let d(c) = c**3 + 8*c**2 + 2*c + 19. Let j be d(-8). Factor 144*v**j - 9*v**4 - 3*v**2 + 159*v**3 - 315*v**3.
-3*v**2*(v + 1)*(3*v + 1)
Let 28*n + 213/4*n**2 + 14*n**3 - 9/4*n**4 - 9 = 0. What is n?
-2, -1, 2/9, 9
Suppose 24*g - 10 = 62. Let b(s) be the third derivative of -1/20*s**5 - 9*s**2 + 0*s**g + 1/210*s**7 + 0 + 1/12*s**4 + 0*s**6 + 0*s. Find w such that b(w) = 0.
-2, 0, 1
Let m(w) = -40*w**3 + 975*w**2 + 3988*w + 2991. Let q(r) = -9*r**3 + 244*r**2 + 997*r + 748. Let v(l) = 2*m(l) - 9*q(l). Factor v(h).
(h - 250)*(h + 1)*(h + 3)
Suppose 402 = 24*g - 18*g. Factor g*h - 6*h**2 - 35*h - 35*h - 3*h**3.
-3*h*(h + 1)**2
Let s be (-7 + (-261)/(-36))/((-2)/9436). Let h = s + 1180. Factor -2*j + h*j**2 + 0.
j*(j - 4)/2
Let j(o) be the first derivative of -4*o**5/5 - 4*o**4 - 16*o**3/3 - 373. Factor j(d).
-4*d**2*(d + 2)**2
Suppose 7 - 65 = -29*w. Let t(n) be the second derivative of -9*n + 2*n**w + 0*n**4 + 0 - 1/10*n**5 + n**3. Factor t(l).
-2*(l - 2)*(l + 1)**2
Let z(a) = -a**2 + 17*a + 5. Let p be z(0). Factor -2*v**2 - 17*v**3 - 6*v**4 + 23*v**3 + 5*v**p + 0*v**4 + v**5 - 4*v**5.
2*v**2*(v - 1)**3
Let a(m) be the second derivative of -m**5/10 - 5*m**4/51 - 76*m. Find w, given that a(w) = 0.
-10/17, 0
Suppose -42 = 95*i - 109*i. Factor 4*q**i + 10*q**3 + 1 + 8*q**3 - 3*q + 3*q**2 - 15*q**3 - 8*q**3.
-(q - 1)**3
Let x = 59565/4 + -14668. Let b = x - 222. Factor -b + 0*n + 5/4*n**2.
5*(n - 1)*(n + 1)/4
Suppose 634/3*u**2 + 2/3*u**3 + 0 + 0*u = 0. What is u?
-317, 0
Let y(w) = -5*w - 16 - 4 + 2*w + 5*w. Let u be y(11). Factor 436*z**2 - 4 - 437*z**2 - u*z + 4.
-z*(z + 2)
Let p = 35 - 27. Let y = 10 - p. Factor 8 + 25*b - 11 + 5*b**y + 23.
5*(b + 1)*(b + 4)
Let l(i) be the third derivative of -7/120*i**6 - 2/3*i**3 - 1/4*i**5 - 13/24*i**4 - 40*i**2 - 1/210*i**7 - i + 0. Factor l(q).
-(q + 1)**3*(q + 4)
Let b(x) = 18*x**2 + 30*x + 3. Let j(l) = 4*l**2 - 2*l - 3. Let n be j(-1). Let y(r) = r**2 - r + 1. Let u(o) = n*y(o) + b(o). Determine s, given that u(s) = 0.
-1, -2/7
Let r be -20*75/(-1250) + 32/40. Determine t so that -2/5*t**r + 8/5*t - 6/5 = 0.
1, 3
Let i(d) = 21*d**3 + 49*d**2 + 25*d - 23. Let s(t) = 5*t**3 - t**2 - t + 1. Let w(j) = -i(j) + 5*s(j). Factor w(f).
2*(f - 14)*(f + 1)*(2*f - 1)
Let a(s) be the first derivative of s**4/8 - s**3 + 9*s**2/4 + 23*s - 70. Let f(z) be the first derivative of a(z). Factor f(q).
3*(q - 3)*(q - 1)/2
Find h such that -1/4*h**2 + 173*h - 29929 = 0.
346
Suppose 5*h + 76 = -2*c + 9*h, 2*c + 79 = h. Let f be (-400)/c*32/130. Solve -2/13*b**3 + 16/13*b**2 + 0 - f*b = 0 for b.
0, 4
Let m = -654402 + 654405. Suppose 1/2*w**4 + 1/2*w**2 + 0 - 2*w**m + 3*w = 0. What is w?
-1, 0, 2, 3
Let r(x) = 12*x**2 - 62*x + 32. Let n be (-60)/(-40) - (-19)/(-2). Let i(k) = 4*k**2 - 21*k + 11. Let z(b) = n*i(b) + 3*r(b). Factor z(l).
2*(l - 4)*(2*l - 1)
Suppose -3 = 7*v - 6*v, -v = 2*q - 9. Let y be (-15 - 1362/(-90))*(0 + q). Factor -2/5*l**5 + 0 + y*l**4 + 0*l - 16/5*l**2 + 8/5*l**3.
-2*l**2*(l - 2)**2*(l + 2)/5
Let l(v) = 69*v**2 + 9*v - 81. Let b = 1 - -45. Suppose o - 47 = -2*j, 6*o - b = -j + o. Let t(u) = 7*u**2 + u - 8. Let r(f) = j*t(f) - 2*l(f). Factor r(z).
3*(z + 1)*(3*z - 2)
Let q(u) be the second derivative of 65*u - 4/3*u**2 + 4/3*u**3 + 1/15*u**6 - 11/18*u**4 + 0 - 1/63*u**7 + 1/30*u**5. Determine s, given that q(s) = 0.
-2, 1, 2
Suppose 0*n = d - 3*n + 20, 0 = 5*n + 15. Let m = 34 + d. Factor 6*l - 4 + 8*l - 2*l - 8*l**2 + 12*l**4 - 8*l**3 - 4*l**m.
-4*(l - 1)**4*(l + 1)
Factor 180/7*d + 8/7*d**3 - 2/7*d**4 + 0 + 102/7*d**2.
-2*d*(d - 10)*(d + 3)**2/7
Suppose 77 = 11*y + 22. Suppose -y*b + 17 = v, 4*b = 14*v - 17*v + 18. Find p, given that 0 + 20/3*p - 20*p**2 + 25/3*p**b = 0.
0, 2/5, 2
Let s(y) be the first derivative of -4*y**3 - 28*y - 39/2*y**2 - 1/4*y**4 - 67. Suppose s(o) = 0. What is o?
-7, -4, -1
Let y(r) = 3*r**4 - 3*r**3 - 8*r**2 + 12*r + 4. Let f(z) = -4*z**4 + 3*z**3 + 10*z**2 - 12*z - 6. Let a(t) = 2*f(t) + 3*y(t). Find q such that a(q) = 0.
-2, 0, 2, 3
Suppose 5*w + 82*l = 87*l + 50, -2*w + 4*l + 12 = 0. Suppose w*s = -s. Factor 0*b**2 + s*b + 0 + 2/3*b**3 - 2/3*b**4.
-2*b**3*(b - 1)/3
Suppose 53*c - 20*c - 18216 = 0. Suppose -495 = 19*p - c. Factor 1/4*a**5 + 0 - 5/4*a**4 + 0*a**2 + 0*a + a**p.
a**3*(a - 4)*(a - 1)/4
Let c(b) be the third derivativ