0 - 6/3). Suppose 0 = -3*d - 5*s + 6, 0 = -4*d - 5*s + 8 + m. Factor -w**2 - 9 - 13*w + d*w - w**2 + w**2.
-(w + 3)**2
Let l be (45 + -38)*(-4 + 62/14). Let 1/9*y**4 - 1/3 - 4/9*y**l + 4/9*y + 2/9*y**2 = 0. Calculate y.
-1, 1, 3
Let b(x) be the first derivative of -x**4/108 + x**3/54 + 4*x + 7. Let l(n) be the first derivative of b(n). Factor l(i).
-i*(i - 1)/9
Suppose 2*n = -4*k + 11 + 1, 4*k + 5*n - 12 = 0. Factor 6 + 12*d**2 - 14 + 8 - 9*d - 3*d**k.
-3*d*(d - 3)*(d - 1)
Let t(r) be the first derivative of 4*r**3/3 + 68*r**2 + 1156*r - 69. Factor t(h).
4*(h + 17)**2
Suppose -2*w + 11 = -27. Let t = -17 + w. Factor t*a**2 - 205 - 6*a + 205.
2*a*(a - 3)
Let h = 1415 + -7074/5. Factor -h*s + 4/5*s**2 - 6/5*s**3 + 4/5*s**4 - 1/5*s**5 + 0.
-s*(s - 1)**4/5
Let n be (4/(-2) - (-7 + 4)) + 1. Suppose 0 = -n*u + 6. Factor -1/2*i**u + i**2 + 0 - 1/2*i**4 + 0*i.
-i**2*(i - 1)*(i + 2)/2
Let m = 26 + -25. Suppose -3*i = -6*i - 4*h + m, 13 = 5*i + h. Determine n so that -2/9*n**i + 2/3 - 2/3*n**2 + 2/9*n = 0.
-3, -1, 1
Let w(z) = -141*z**3 - 91*z**2 + 63*z + 22. Let o(s) = 71*s**3 + 46*s**2 - 31*s - 10. Let n(t) = 9*o(t) + 4*w(t). Factor n(i).
(i + 1)*(5*i - 2)*(15*i + 1)
Let w(t) = 4*t**2 + 21*t - 21. Let v(u) = 3*u**2 + 21*u - 18. Let x(o) = 7*v(o) - 6*w(o). Suppose x(y) = 0. Calculate y.
0, 7
Factor 275*i - 23 - 80 - 5*i**3 - 130*i**2 - 8 - 29.
-5*(i - 1)**2*(i + 28)
Let l be (-6*3/(-18))/1. Find v such that v + v**2 - 34*v**3 + 67*v**3 - 34*v**3 - l + 0 = 0.
-1, 1
Let k be (14 - 2150/180) + 3/(-54). Determine a, given that -a - 5/2*a**k - 3/2*a**3 + 0 = 0.
-1, -2/3, 0
Let a(c) = c - 6. Let f be a(8). Suppose -3*g = -f*g - l - 5, 4*g - 3*l = 17. Factor i + 6*i**g - 4*i - 5*i + 4*i - 2*i**3.
-2*i*(i - 2)*(i - 1)
Let y be 6/(0 - -1)*(-108)/(-9). Let b = y + -67. Determine o, given that 4/3*o**3 - 8/3*o**b - 4*o**4 + 0 + 4/3*o + 4*o**2 = 0.
-1, -1/2, 0, 1
Let h = 37 + -28. Suppose 22*m**3 - 21*m**4 + 3*m**5 - h*m**3 - 12 - 75*m**2 + 22*m**3 + 22*m**3 + 48*m = 0. Calculate m.
1, 2
Let v(n) be the third derivative of -n**7/70 - n**6/4 - 5*n**5/4 - 254*n**2 - 1. Factor v(w).
-3*w**2*(w + 5)**2
Let m be (119/21)/((-1)/3). Let j = -15 - m. Suppose 2 - 3 + 10*o**4 - 10*o**3 - 5*o - o**5 - 15*o**4 - 10*o**j = 0. Calculate o.
-1
Let k(v) be the first derivative of 19 + 36*v + 1/3*v**3 + 6*v**2. Factor k(u).
(u + 6)**2
Let v(s) be the first derivative of 2/3*s**3 - 14 - s**2 + 0*s. Let v(h) = 0. Calculate h.
0, 1
Let w be 12 - ((-715)/2288)/(2/(-72)). Factor -w*f**3 + 3/2*f + 0 - 3/4*f**2.
-3*f*(f - 1)*(f + 2)/4
Let p(n) be the second derivative of 0 - 1/12*n**4 + 3*n + 1/6*n**3 + n**2. Let m(j) = 2*j**2 - 2. Let w(y) = -2*m(y) - 3*p(y). Factor w(u).
-(u + 1)*(u + 2)
Suppose -4*t + 5*y = 87, 4*y - 5 - 3 = t. Let m be (-6)/(-5 - t/8). Factor o**2 + 0 + 0*o + 5/2*o**m + 7/2*o**3.
o**2*(o + 1)*(5*o + 2)/2
Let k(o) = o**2 + 17*o - 43. Let s be k(-20). Suppose 4*l + u = 14, -l - u = 4*l - s. Factor -1/2*j**4 + j + 0 - 3/2*j**l + 1/2*j**2 + 1/2*j**5.
j*(j - 2)*(j - 1)*(j + 1)**2/2
Let i be (-87)/232 + 2586/(-16). Let f = i - -812/5. Factor -f - 1/5*j + 1/5*j**2.
(j - 2)*(j + 1)/5
Factor 1/5*n**3 + 0 - 4/5*n**2 - 4/5*n + 1/5*n**4.
n*(n - 2)*(n + 1)*(n + 2)/5
Suppose 13*l**3 + 127*l - 175*l**2 + l**5 + 72*l**3 - 29*l - 45*l**3 - 17*l**4 + 53*l**3 = 0. Calculate l.
0, 1, 2, 7
Let q(h) be the first derivative of -h**6/12 + h**5/10 + 7*h**4/8 - h**3/6 - 3*h**2/2 + 37. Determine x so that q(x) = 0.
-2, -1, 0, 1, 3
Let v = -10 + 78. Suppose v + 0 = 17*z. Factor 0 + 2/13*x**3 + 2/13*x**2 + 0*x - 2/13*x**5 - 2/13*x**z.
-2*x**2*(x - 1)*(x + 1)**2/13
Let i(u) = -u**2 - u. Let m(a) = 7*a**2 + 48*a + 29. Let p(w) = 140*w**2 + 959*w + 581. Let l(b) = 119*m(b) - 6*p(b). Let y(o) = 2*i(o) - l(o). Factor y(q).
5*(q + 1)*(q + 7)
Factor 5*l - 2*l - 6*l - 24*l**2 - l + 24 + l**3 + 3*l.
(l - 24)*(l - 1)*(l + 1)
Let r(y) be the first derivative of y**5/600 - 7*y**4/240 + y**3/10 + 3*y**2 - 12. Let a(o) be the second derivative of r(o). Determine h so that a(h) = 0.
1, 6
Factor -1/2*f**3 - 357/2*f + 18*f**2 + 289.
-(f - 17)**2*(f - 2)/2
Let v(t) be the second derivative of -t**6/75 + 4*t**5/25 - 131*t. Find r such that v(r) = 0.
0, 8
Factor 0 + 7*b**2 - 13/2*b - 1/2*b**3.
-b*(b - 13)*(b - 1)/2
Let f(y) = y**2 + 2*y + 1. Let x(z) = 79*z**2 - 87*z - 16. Let d(h) = -6*f(h) - x(h). Determine t, given that d(t) = 0.
-2/17, 1
Let m(z) be the second derivative of -z**3/6 + 7*z**2/2 - 4*z. Let u be m(4). Solve 3*r**u - r**3 + r**5 + r - 5*r**3 + r**3 = 0.
-1, 0, 1
Let w = -58 - -87. Suppose 5*p - 66 = 3*x + w, -4*x - 52 = -2*p. Factor -3*b + p*b**3 + 10*b**2 + 1 + 8*b**4 + 5*b - 1.
2*b*(b + 1)*(2*b + 1)**2
Let g(y) be the second derivative of y**7/147 + y**6/105 - 3*y**5/70 - 5*y**4/42 - 2*y**3/21 + 4*y + 6. Factor g(q).
2*q*(q - 2)*(q + 1)**3/7
Let u(q) be the second derivative of -q**6/120 + q**5/80 + 5*q**4/48 + q**3/8 + 468*q. Suppose u(f) = 0. What is f?
-1, 0, 3
Suppose -2*k - 3 = -9, -69 = 2*n + k. Let z be (-8)/n + (-8)/(-126). Factor -2/7*l**3 + 2/7*l**2 + 0 - z*l**4 + 2/7*l**5 + 0*l.
2*l**2*(l - 1)**2*(l + 1)/7
Let j(w) = w**2 + w - 4. Suppose -5*l + 25 = 40. Let k be j(l). Suppose 6 - 2/3*h**3 - 10/3*h**k - 2*h = 0. What is h?
-3, 1
Let l = -78 + 81. Suppose 2*i = 3*i - l*i. Find a such that 2/9*a**4 + 4/9*a**3 - 2/9*a**2 + i - 4/9*a = 0.
-2, -1, 0, 1
Let n be ((-13)/(702/12))/((-8)/(-12))*0. Factor 2/5*t**2 + n - 6/5*t.
2*t*(t - 3)/5
Let q(d) be the third derivative of -d**9/10584 + d**8/1960 - d**6/315 - 25*d**3/3 + 4*d**2 + 5. Let b(g) be the first derivative of q(g). Factor b(h).
-2*h**2*(h - 2)**2*(h + 1)/7
Let o(q) be the first derivative of -q**9/2646 - q**8/588 - q**7/735 - 4*q**3 - 5. Let r(u) be the third derivative of o(u). Suppose r(d) = 0. Calculate d.
-2, -1/2, 0
Suppose -2*y - 167*s + 8 = -163*s, 0 = -2*y + 3*s + 1. Factor -4/17*d**3 + 2/17*d**5 + 4/17*d**y + 2/17*d - 2/17*d**4 - 2/17.
2*(d - 1)**3*(d + 1)**2/17
Let n(r) = 136*r**2 + 4*r - 35*r**3 - 63*r - 18 - 12. Let a(z) = -385*z**3 + 1495*z**2 - 650*z - 330. Let o(i) = -6*a(i) + 65*n(i). Factor o(f).
5*(f - 3)*(f - 1)*(7*f + 2)
Let g(f) be the third derivative of f**7/210 + f**6/30 + f**5/10 + f**4/6 + f**3/6 - f**2 + 1. Solve g(l) = 0 for l.
-1
Let x(r) = 10*r**4 + 99*r**3 - 172*r**2 + 60*r. Let n(w) = -10*w**4 - 101*w**3 + 173*w**2 - 60*w. Let a(c) = -3*n(c) - 2*x(c). Factor a(o).
5*o*(o - 1)*(o + 12)*(2*o - 1)
Let -6*r - 1/7*r**2 - 63 = 0. Calculate r.
-21
Let c = 10001/2 - 4999. Factor -9/2*i**2 + 3 + 3/2*i**3 + c*i**4 - 3/2*i.
3*(i - 1)**2*(i + 1)*(i + 2)/2
Let x(j) be the first derivative of j**4/4 + 4*j**3 - 13*j**2/2 + 219. Factor x(d).
d*(d - 1)*(d + 13)
Let c(q) = -4*q**2 + 63*q + 87. Let n be c(17). Factor -2/3 - 2/3*s**3 - 2*s - 2*s**n.
-2*(s + 1)**3/3
Let p(r) = -14*r**5 + 63*r**4 - 5*r**3 - 57*r**2 + 16*r - 6. Let b(w) = w**4 - w**3 + w**2 - 2. Let t(l) = -3*b(l) + p(l). Find u, given that t(u) = 0.
-1, 0, 2/7, 1, 4
Let q(z) = 11*z**3 - z**2 - 35*z - 13. Let b = -38 + 31. Let o(x) = -16*x**3 + 2*x**2 + 52*x + 20. Let j(w) = b*q(w) - 5*o(w). Find g such that j(g) = 0.
-1, 3
Suppose -t + 68 = 62. Suppose t = -13*j + 15*j. Factor 0 + 3/2*d - 3/2*d**j + 3/2*d**2 - 3/2*d**4.
-3*d*(d - 1)*(d + 1)**2/2
Let u(z) = z - 24. Let b be u(22). Let a be 22/(-6) - (b - 2). Suppose -1/3*p**2 - 2/3*p - a = 0. What is p?
-1
Let o(r) be the third derivative of -r**7/70 + r**6/40 + 3*r**5/4 - 9*r**4/8 - 27*r**3 - 23*r**2 - 4*r. Find t such that o(t) = 0.
-3, -2, 3
Let w(l) be the second derivative of -5/24*l**3 - 1/4*l**2 - 1/12*l**4 - 1/80*l**5 - 20*l + 0. Factor w(h).
-(h + 1)**2*(h + 2)/4
Let o(s) = -s**2 - 8*s - 5. Let g(q) = -q**3 + 3*q**2 - q - 4. Let k be g(3). Let u be o(k). Solve 2*h**2 + h**3 - 8*h**u + h**3 + 5 + 3 = 0.
-1, 2
Let v = -1 - -37. Let n = v - 107/3. Determine t so that 1/3*t + n*t**2 + 0 = 0.
-1, 0
Factor 60*n**3 + 16*n**2 - 65*n**3 - 11*n**2.
-5*n**2*(n - 1)
Let k(y) be the second derivative of y**4/12 + 3*y**3/2 - 11*y**2 - 52*y - 1. Let k(d) = 0. Calculate d.
-11, 2
Let m(x) = 8*x**3 + 33*x**2 - 14*x + 9. Let h(j) = -4*j**3 - 16*j**2 + 8*j - 4. Let u(p) = 9*h(p) + 4*m(p). Solve u(z) = 0.
-4, 0, 1
Let p(l) be the third derivative of -l**8/23520 - l**7/8820 + l**6/315 + l**5/35 + 5*l**4/4 + 16*l**2.