2)). Solve y**4 - 2*y**3 - y**4 - 2*y**4 + 2*y**t + 2*y**5 = 0 for y.
-1, 0, 1
Suppose 5*b**2 + 2*b - 4*b + 0*b**3 - 1236*b**4 - 4*b**3 + 1237*b**4 = 0. Calculate b.
0, 1, 2
Let j(c) = 2*c**2 + 4*c + 2. Suppose 5*o - 4*o = -3*t + 1, -2*o + 1 = 5*t. Let f be j(o). Factor -2*r - f*r**2 + 0*r + 48 - 44.
-2*(r - 1)*(r + 2)
Suppose 5*k - 20 = 0, -5*c - 22 - 1 = 3*k. Let v = 10 + c. Suppose -5*f**3 + 3*f - 2 + 2*f**3 + 2*f**v = 0. Calculate f.
-2, 1
Let h(v) be the first derivative of -2*v**3/33 - 10*v**2/11 + 48*v/11 - 84. Factor h(g).
-2*(g - 2)*(g + 12)/11
Let l be (0/(-2))/((-4)/1). Factor l*p - 1/2*p**4 + 0 - 1/2*p**3 + p**2.
-p**2*(p - 1)*(p + 2)/2
Let g(z) = -143*z - 1141. Let b be g(-8). Solve -3*v**2 + 6/5 + 3/5*v + 6/5*v**b = 0.
-1/2, 1, 2
Let c(y) be the first derivative of 1/10*y**4 + 13 - 8/15*y**3 + 4/5*y**2 + 0*y. Factor c(q).
2*q*(q - 2)**2/5
Let d = -113 - -115. Factor -5*c + 10*c**4 + d + 3*c**2 - 12*c**4 + c**4 + 0*c + c**3.
-(c - 1)**3*(c + 2)
Suppose -84 + 5 = -s. Factor 79*n**2 + 4*n**3 - 3*n**5 + 4*n**4 - s*n**2 + 4*n**5.
n**3*(n + 2)**2
Let q(c) be the second derivative of 1/75*c**6 + 3*c + 0 + 2/15*c**3 - 1/5*c**2 - 1/25*c**5 + 0*c**4. Factor q(x).
2*(x - 1)**3*(x + 1)/5
Let h = -34672 - -312050/9. Factor 200/9 - 40/9*t + h*t**2.
2*(t - 10)**2/9
Let f be (-1)/(4 + (-1924)/480). Suppose -l + 4*l - 20 = 4*r, -l = -4*r - 12. Suppose -120 + 2*t**3 + f - t**l - 4*t**3 = 0. Calculate t.
-2, 0
Let b(r) be the third derivative of r**7/42 - r**6/24 - r**5/12 + 5*r**4/24 - 61*r**2 + 4. Determine j so that b(j) = 0.
-1, 0, 1
Let k be 136/(-272)*8/(-3). Factor 0*f + 16/3*f**3 + 0 - k*f**4 - 16/3*f**2.
-4*f**2*(f - 2)**2/3
Factor 128*h**3 + 20*h**5 - 224*h**2 + 192*h - 64 + 23*h**5 - 39*h**5 - 36*h**4.
4*(h - 2)**4*(h - 1)
Let n(d) be the second derivative of -1/42*d**3 + 0*d**2 + 1/140*d**5 - 1/84*d**4 + 0 + 1/210*d**6 - 4*d. Find f such that n(f) = 0.
-1, 0, 1
What is w in 152 + 118 - 24*w + 2*w**3 + 3*w**2 - w**3 - 242 = 0?
-7, 2
Let d be 1/2*(3 + 1). Suppose -16 = -5*i - p, 0*i = 2*i - 4*p - d. What is t in -2/5*t**2 + 2/5*t + 2/5*t**4 + 0 - 2/5*t**i = 0?
-1, 0, 1
Let o = 29 + -29. Suppose o = -0*s + s - 3. Factor 2/3*l**s - 2*l**2 - 4/3 - 10/3*l + 2/3*l**4.
2*(l - 2)*(l + 1)**3/3
Let l(u) = 66*u + 9 - 20*u**2 + 0 + 56*u**2. Let t(p) = 7*p**2 + 13*p + 2. Suppose 0 = -5*v + 8*v - 63. Let s(k) = v*t(k) - 4*l(k). Find q, given that s(q) = 0.
-2, -1
Let d(o) = 17*o**2 + 2*o - 7. Let m be d(-3). Let g be 1/((-10)/4) - (-91)/m. Suppose 1/4 + 1/4*p**3 - 1/4*p - g*p**2 = 0. Calculate p.
-1, 1
Let n(y) be the third derivative of -1/72*y**4 + 1/18*y**3 + 3*y**2 + 1/360*y**6 + 0*y - 1/180*y**5 + 0. Factor n(x).
(x - 1)**2*(x + 1)/3
Let n(t) = -3*t - 14. Let v be n(-6). Factor 16*j - 8*j + 0*j**2 + 4 + v*j**2.
4*(j + 1)**2
Factor -38*x - 20 - 7*x**3 - 117*x**2 + 18*x**3 + 3*x - 6*x**3 + 107*x**2.
5*(x - 4)*(x + 1)**2
Let c = 78 + 8. Factor -6*v**2 + 2*v**2 + 74 - c + 16*v.
-4*(v - 3)*(v - 1)
Let d(i) = 4*i**3 + 36*i**2 - 192*i - 230. Let g(h) = -9*h**3 - 71*h**2 + 383*h + 458. Let z(p) = -13*d(p) - 6*g(p). Find w, given that z(w) = 0.
-1, 11
Let y(q) be the second derivative of -q**5/630 - q**4/252 + 2*q**3/63 + q**2/2 + 34*q. Let w(m) be the first derivative of y(m). What is h in w(h) = 0?
-2, 1
Let n(y) be the second derivative of 0 - 36*y**2 - 1/6*y**4 - 4*y**3 - 18*y. Find a such that n(a) = 0.
-6
Let j(c) be the third derivative of -c**7/840 + c**6/60 - c**5/48 - 25*c**4/48 + 215*c**2. Let j(v) = 0. What is v?
-2, 0, 5
Let g(y) = y**2 - 9*y + 10. Let o be g(8). Suppose 2*s - 4 = o. Determine z, given that -6*z + 3*z**s + 3*z**2 + 3*z**3 - 3*z**4 + 0*z**3 = 0.
-1, 0, 1, 2
Let a(h) be the third derivative of h**8/8400 + h**7/4200 + h**5/10 + 4*h**2. Let j(q) be the third derivative of a(q). Factor j(v).
6*v*(2*v + 1)/5
Let c(s) = -s**2 - 9*s + 12. Let k be (80/(-24))/(3/9). Let o be c(k). Suppose 1/3*i + 0 + 1/3*i**o = 0. What is i?
-1, 0
Suppose -4*l - 4*a = 36, -l + 18 = -3*l - a. Let r = 12 + l. Solve -b**2 + b**3 + b**3 + 2*b - r*b**2 = 0.
0, 1
Let w(o) be the third derivative of o**6/84 + o**5/10 + 19*o**4/84 + o**3/7 + 3*o**2 + o. Factor w(f).
2*(f + 1)*(f + 3)*(5*f + 1)/7
Let o(k) be the second derivative of 13*k**4/4 + 16*k**3 + 18*k**2 - 3*k + 24. Factor o(d).
3*(d + 2)*(13*d + 6)
Suppose -936*v + 2*v**2 - 80*v**2 - 4394 - 405*v + 0*v**3 + 327*v - 2*v**3 = 0. What is v?
-13
Let x(g) be the second derivative of g**5/150 - g**4/30 - 5*g**2/2 - 2*g. Let m(b) be the first derivative of x(b). Factor m(t).
2*t*(t - 2)/5
Let v(o) = 294*o**2 + 37*o - 46. Let f(w) = 74*w**2 + 10*w - 12. Let i(n) = 23*f(n) - 6*v(n). Factor i(q).
-2*q*(31*q - 4)
Suppose 3*m + 6 = 3*l + 6*m, 5*l + 3*m = 12. Let h = 167/28 - 40/7. Factor h*q**2 + 1/2*q + 0 - 1/4*q**l.
-q*(q - 2)*(q + 1)/4
Suppose -o = -5*x + 13, -2*x + 8 = o - 0*o. Factor -5*n + 144 + 8*n + 4*n**o - 51*n.
4*(n - 6)**2
Suppose -141*v**2 + 137/5*v**3 + 255*v - 50 - 9/5*v**4 = 0. Calculate v.
2/9, 5
Suppose 4 = 2*y, 9 - 1 = 2*q + 2*y. Let i = 3 - -2. Factor -m**3 - q*m**4 + 2*m**i + m**3 - 4*m**3.
2*m**3*(m - 2)*(m + 1)
Let m(q) = -q**2 + 12*q + 2. Let a be m(12). Factor -u**2 + 11*u**3 + 7*u**3 + 6*u**a - 23*u**3.
-5*u**2*(u - 1)
Let o be (-4)/18 - (-31460)/63. Let r = o + -498. What is b in 14*b**5 - r + 286/7*b**3 - 24/7*b + 42*b**4 + 74/7*b**2 = 0?
-1, -2/7, 2/7
Let z(s) = s**2 - 4*s. Let a be z(5). Suppose 10*i - 7*i - 15 = 0. Determine q so that 2*q - 2*q**4 + q**2 - i*q**2 - a*q**3 + 6*q**2 + 3*q**3 = 0.
-1, 0, 1
Suppose 0 = -5*u - w - w + 48, 5*u - 3*w = 28. Factor 4*r**2 + 105 - 41 + u*r - 40*r.
4*(r - 4)**2
Let l(p) be the third derivative of 0 + 0*p**4 + 0*p - 17*p**2 - 3/10*p**3 + 1/300*p**5. Factor l(g).
(g - 3)*(g + 3)/5
Let d = -9/8 + 15/8. Let x(b) be the second derivative of 1/5*b**6 + 0*b**3 + 0*b**2 + 0 - 5/14*b**7 - 1/2*b**4 + d*b**5 + 4*b. What is f in x(f) = 0?
-1, 0, 2/5, 1
Let w = 10 - 12. Let d be 6 - (1 + -2)*w. Factor 0*r**2 + d*r - 8 - 4*r**2 + 8*r**2.
4*(r - 1)*(r + 2)
Let f(n) = -n**2 - n + 15. Let u be f(3). Suppose -27 - 22 + 3*z**u + 53 - z**3 - 6*z = 0. What is z?
-2, 1
Let u = 51 + -37. What is v in 16*v + u*v**3 - 3*v**3 + 0*v + 5*v**3 + 68*v**2 = 0?
-4, -1/4, 0
Let p = -13241/13 + 1019. Factor -2/13*s**2 + p + 4/13*s.
-2*(s - 3)*(s + 1)/13
Let m be -5 - (0 + 4 + -10 - (24 - 23)). Solve 0 - 3/5*p**4 - 3/5*p**3 + 3/5*p**5 + 0*p + 3/5*p**m = 0 for p.
-1, 0, 1
Let m = 45 + -42. Let d(y) be the first derivative of 2/3*y**2 + 1/2*y**4 - 10/9*y**m - 7 + 0*y. Solve d(s) = 0 for s.
0, 2/3, 1
Let k(o) be the first derivative of o**4/7 + 12*o**3/7 - 2*o**2/7 - 36*o/7 + 90. Determine p, given that k(p) = 0.
-9, -1, 1
Let x(k) = -19*k**4 + 11*k**3 - 17*k**2 - k. Let h(r) = 9*r**4 - 6*r**3 + 9*r**2. Let l(g) = 13*h(g) + 6*x(g). Find w such that l(w) = 0.
0, 1, 2
Let u be (18 + -17)/(3/2). Let c(s) be the first derivative of s - u*s**3 + 1/5*s**5 + 1/2*s**2 + 4 - 1/2*s**4 + 1/6*s**6. Factor c(b).
(b - 1)**2*(b + 1)**3
Let c = 32521 - 32521. Factor 2/15*y**4 - 2/15*y - 2/5*y**3 + c + 2/5*y**2.
2*y*(y - 1)**3/15
Let i(o) = 469*o**2 - 80*o**3 - 497*o + 250*o + 327 + o**4 - 473*o. Let j(b) = -80*b**3 + 468*b**2 - 720*b + 328. Let v(p) = 4*i(p) - 3*j(p). Factor v(m).
4*(m - 9)**2*(m - 1)**2
Let p(z) be the third derivative of z**8/616 + 4*z**7/385 + 3*z**6/220 - 2*z**5/55 - z**4/11 + 12*z**2 - z. Let p(u) = 0. What is u?
-2, -1, 0, 1
Suppose 86*w - 5 = 84*w + h, 8 = 3*w - 2*h. Find a, given that 0*a**w + 1/4*a**4 + 0*a - 1/2*a**3 + 0 = 0.
0, 2
Let g(s) be the third derivative of -s**5/60 + 2*s**4/3 - 32*s**3/3 + 3*s**2 + 6. Factor g(n).
-(n - 8)**2
Let w = 28 + -33. Let c = w + 5. Let 2/9*b**3 + c + 2/9*b + 4/9*b**2 = 0. Calculate b.
-1, 0
Let s(d) be the second derivative of d**5/170 + d**4/51 - d**3/51 - 2*d**2/17 - 3*d - 9. Factor s(u).
2*(u - 1)*(u + 1)*(u + 2)/17
Let m = -60 - -76. Let -5*p**4 + 16*p**3 + 0*p**3 + p**4 - m*p - 12*p**2 + 12 + 4 = 0. What is p?
-1, 1, 2
Let q(o) = 2*o**5 - 2*o**4 - 10*o**3 - 2*o**2 - 4. Let x(z) = z**5 + z**4 - z**3 - 1. Let n(m) = q(m) - 4*x(m). Suppose n(k) = 0. Calculate k.
-1, 0
Suppose 0*m - 6 = -2*m. Factor -5 + 2*s**3 - 5*s**m + 3*s**2 + 5.
-3*s**2*(s - 1)
Let p(x) = x**2 + 6*x + 3. Let d be p(-11). Let n = -55 + d. Factor -16/9*b + 3