- 8*y + 16*y**3 - 7*y**2 + 3*y**2 = 0.
-1, 0, 2/3
Let l be (-1137)/326 + -10 + 14. Let p = l + -2/163. Factor p*d**3 + d - 1/4 - 5/4*d**2.
(d - 1)**2*(2*d - 1)/4
Let p(k) be the second derivative of -k**6/195 - 11*k**5/130 + 154*k. Factor p(b).
-2*b**3*(b + 11)/13
Let z = -3/58 + 19/87. Let x(y) be the first derivative of -y**2 + 0*y + 7 + z*y**4 + 4/9*y**3. Factor x(t).
2*t*(t - 1)*(t + 3)/3
Let a(o) be the first derivative of o**7/28 - o**6/5 + 9*o**5/20 - o**4/2 + o**3/4 - 5*o - 11. Let g(l) be the first derivative of a(l). Factor g(j).
3*j*(j - 1)**4/2
Let v(q) = -5*q**3 - 65*q**2 + 11*q - 11. Let c(s) = s**3 + 13*s**2 - 2*s + 2. Let x(r) = 22*c(r) + 4*v(r). Factor x(u).
2*u**2*(u + 13)
Let t be 4 - 1 - (-96)/(-32). Let z(h) be the third derivative of 1/112*h**8 + t*h**5 + 0*h**3 + 0*h + 0 - 1/40*h**6 + 0*h**7 + 0*h**4 + 4*h**2. Factor z(w).
3*w**3*(w - 1)*(w + 1)
Suppose 13 = 3*p + 7. Suppose 12*q**3 - 12*q + 11 - 3 + 0*q**2 + 4*q**p - 12*q**2 = 0. Calculate q.
-1, 2/3, 1
Suppose -271 + 19 = -7*f. Factor -p**2 - 3*p**2 - 23*p - f - p.
-4*(p + 3)**2
Let v(f) = 9*f - 25. Let s be v(3). Solve -4/13 - 2/13*c + 2/13*c**s = 0.
-1, 2
Let b(w) = -w**3 + w**2 - 4*w + 75. Let q be b(0). Factor -q*m**2 + 1127*m - 5*m**4 + 23*m**3 + 22*m**3 - 1252*m.
-5*m*(m - 5)**2*(m + 1)
Let i(j) be the first derivative of -j**3/15 + 9*j/5 - 67. Factor i(q).
-(q - 3)*(q + 3)/5
Let f(x) be the first derivative of 1/15*x**6 + 0*x**3 + 8*x + 2/3*x**4 - 2/5*x**5 + 0*x**2 - 10. Let o(t) be the first derivative of f(t). Solve o(u) = 0.
0, 2
Let p(h) be the second derivative of -h**5/130 - 3*h**4/26 + 7*h**3/13 + 245*h**2/13 + 58*h - 3. Suppose p(g) = 0. Calculate g.
-7, 5
Let r(n) be the first derivative of -2*n**6/27 + 2*n**5/5 - n**4/9 - 2*n**3/3 + 4*n**2/9 - 7. Solve r(s) = 0 for s.
-1, 0, 1/2, 1, 4
Let n = -2/70933 + -1063699/10498084. Let q = n - -4871/1332. Factor 2/9*b**2 + 16/9*b + q.
2*(b + 4)**2/9
Let v be ((-121)/(-242))/(-2*(-1)/2). Determine c, given that -v*c**3 - 1/2*c**2 + 0 + c = 0.
-2, 0, 1
Let f(m) be the third derivative of 0 - 1/360*m**6 + 0*m - 14*m**2 - 1/60*m**5 + 1/72*m**4 + 1/6*m**3. Factor f(i).
-(i - 1)*(i + 1)*(i + 3)/3
Let x be (3 + -5)/(-4 + -20). Let q(j) be the first derivative of x*j**3 + 5 + j + 1/2*j**2. Find h such that q(h) = 0.
-2
Factor 129*r**3 - 1265*r**2 + 16*r**3 - 5*r**4 + 2100*r + 5*r**3 - 980.
-5*(r - 14)**2*(r - 1)**2
Let n(a) be the second derivative of a**5/10 - 5*a**4/3 + 17*a**3/3 - 8*a**2 + 3*a - 41. Determine z so that n(z) = 0.
1, 8
Suppose -4*y = j - 14, -328*j - 30 = -323*j. What is d in 6*d**2 - 18*d**3 - 3/2*d**y + 0 + 24*d - 21/2*d**4 = 0?
-4, -2, 0, 1
Let l(v) = -9*v**2 + 1684*v - 141116. Let k(t) = -200*t**2 + 37050*t - 3104550. Let s(p) = 2*k(p) - 45*l(p). Suppose s(f) = 0. Calculate f.
168
Let l(p) = -p**2 + 11*p + 82. Let q be l(-5). Let w(g) be the second derivative of 21/11*g**4 - 49/110*g**5 - q*g - 20/11*g**3 + 0 + 8/11*g**2. Factor w(j).
-2*(j - 2)*(7*j - 2)**2/11
Factor 412 - 2*i**4 + 245*i**3 - 412 - 15*i**2 - 215*i**3 - 73*i**2.
-2*i**2*(i - 11)*(i - 4)
Suppose -5*o + v + 18 = 0, -3*v = 2*v + 15. Let m(h) be the first derivative of 0*h**2 + 1/4*h - 3 - 1/12*h**o. Factor m(l).
-(l - 1)*(l + 1)/4
Let l be (4 + 3)*(-13)/((-273)/18). Let w(g) be the first derivative of -8*g + 0*g**5 - 2/3*g**l + 7 + 4*g**4 + 8/3*g**3 - 6*g**2. Factor w(o).
-4*(o - 2)*(o - 1)*(o + 1)**3
Let k = 105 + -101. Factor -k*r**4 - 2*r**4 + 3*r**4 - r**4.
-4*r**4
Let j(t) be the second derivative of t**7/21 - 11*t**5/10 - 3*t**4 - 8*t**3/3 + 29*t. Suppose j(r) = 0. Calculate r.
-2, -1, 0, 4
Let a(u) be the first derivative of u**3/3 - 2*u**2 + 4*u + 38. Factor a(b).
(b - 2)**2
Let y(p) be the first derivative of 1/4*p**2 - 1/3*p**3 + p + 3 - 1/8*p**4. Determine o so that y(o) = 0.
-2, -1, 1
Let b = -29 - -53. Factor 5*v**2 - 20*v + 5 + b*v - 14*v.
5*(v - 1)**2
Let q(f) be the second derivative of -f**5/70 + 160*f**4/21 - 25600*f**3/21 - 58*f - 2. Solve q(g) = 0.
0, 160
Suppose -24*l = 32*l - 57*l. Suppose l*y + 5/3*y**4 + 0*y**2 + 0*y**3 + 0 = 0. Calculate y.
0
Suppose 9*t - 12 = 6*t. Let o = 13 + -9. Factor -o - i**3 + 4*i**t + 4*i - 7*i**3 + 4*i.
4*(i - 1)**3*(i + 1)
Let a(s) be the second derivative of s**7/2016 + s**6/192 + s**5/48 + 13*s**4/12 - 3*s. Let f(z) be the third derivative of a(z). Factor f(c).
5*(c + 1)*(c + 2)/4
Let w(d) be the second derivative of -5*d**4/12 + 5*d**2/2 - 5*d - 2. Factor w(z).
-5*(z - 1)*(z + 1)
Let h be (-1)/(-1*5/20). Factor 6*t**2 - 5*t**2 - h*t - 5*t**2 - t.
-t*(4*t + 5)
Let k(f) be the third derivative of 2*f**5/15 - 11*f**4/4 + 8*f**3/3 - 22*f**2 + 1. Factor k(j).
2*(j - 8)*(4*j - 1)
Let n(w) be the first derivative of -w**5/300 - w**4/60 - w**3/30 - 3*w**2 - 2. Let p(r) be the second derivative of n(r). Suppose p(u) = 0. What is u?
-1
Suppose -5*j + 6 = -2*k, -2 = -2*j - j + 2*k. Factor 3 + 7 - j - 6*p + 2*p**2 + 14*p.
2*(p + 2)**2
Let i(b) = 31*b**3 - 282*b**2 + 953*b - 295. Let j(p) = -16*p**3 + 140*p**2 - 476*p + 148. Let h(l) = 4*i(l) + 7*j(l). Find u, given that h(u) = 0.
1/3, 6
Let a(t) be the third derivative of -t**5/720 + t**4/18 + t**3/2 - 2*t**2 - 442*t. Factor a(w).
-(w - 18)*(w + 2)/12
Let a(h) be the second derivative of -5*h**4/12 - 155*h**3/3 - 4805*h**2/2 - 23*h + 2. Suppose a(g) = 0. Calculate g.
-31
Let u(t) be the third derivative of 0*t - 1/8*t**4 + 0*t**3 - 1/10*t**5 - 13*t**2 - 1/40*t**6 + 0. Factor u(r).
-3*r*(r + 1)**2
Suppose -3/8*c**2 + 9*c + 75/8 = 0. What is c?
-1, 25
What is n in -45 - 61*n + 0*n**2 - 55*n - 43 - 24 - 4*n**2 = 0?
-28, -1
Let p(g) = 49*g**4 + 467*g**3 + 545*g**2 + 99*g - 7. Let u(i) = -33*i**4 - 311*i**3 - 363*i**2 - 65*i + 5. Let z(v) = -5*p(v) - 7*u(v). What is m in z(m) = 0?
-10, -1, -2/7, 0
Suppose 6*h**5 + 535*h**3 + 320*h**2 - 41*h**5 - 22*h**4 + 60*h - 75*h**3 + 152*h**4 - 35*h**3 = 0. Calculate h.
-1, -2/7, 0, 6
Let t(i) be the second derivative of -1/10*i**5 - 12*i**2 - 16/3*i**3 - 7/6*i**4 - i - 20. Suppose t(l) = 0. What is l?
-3, -2
Let o(m) = 11*m - 130. Let y be o(12). Let g(c) be the first derivative of 5 - y*c + 0*c**2 + 2/3*c**3. Determine s, given that g(s) = 0.
-1, 1
Suppose 3*t + 60 = -7*t. Let o be t/(-18) - (-2)/6. Factor l**2 + 0 - o*l - 1/3*l**3.
-l*(l - 2)*(l - 1)/3
Let k(n) be the second derivative of -n**6/10 - 27*n**5/10 - 30*n**4 - 175*n**3 - 1125*n**2/2 + 25*n. Solve k(g) = 0 for g.
-5, -3
Suppose -i = 4*f - 58, 0*f - 6 = -f + 4*i. Let s be 3*2 + f/(-7). Suppose -7*h**3 - 2*h**2 + 5*h**3 + 2*h + 7*h**2 - 2*h**s - 3*h**2 = 0. Calculate h.
-1, 0, 1
Let t be -2 - -7 - (-175)/(-25)*(-4)/(-6). Let n be (1 - 2) + (-4)/(-3). Solve 0*o**2 + 0 + n*o**5 + t*o**4 + 0*o**3 + 0*o = 0 for o.
-1, 0
Factor 26/3*k**4 + 0*k + 0 + 46/3*k**3 + 22/3*k**2 + 2/3*k**5.
2*k**2*(k + 1)**2*(k + 11)/3
Let n = -231 + 6931/30. Let d(k) be the third derivative of n*k**5 + 0 - 5*k**2 - 1/3*k**3 + 0*k - 1/120*k**6 + 1/24*k**4. Factor d(r).
-(r - 2)*(r - 1)*(r + 1)
Let w be 2*(-4)/6*54. Let v be w/420 - (-6)/10. Factor 6/7*f**2 + v*f**5 - 6/7*f**3 - 3/7*f**4 - 3/7 + 3/7*f.
3*(f - 1)**3*(f + 1)**2/7
Let c(k) be the second derivative of -k**9/5040 - k**8/1120 + 25*k**4/12 + k. Let x(f) be the third derivative of c(f). What is y in x(y) = 0?
-2, 0
Let g be (-4)/12 + 1 - (-8)/6. Factor 3*c**5 - 43*c**3 + 8*c**2 + 34*c**3 - 2*c**g.
3*c**2*(c - 1)**2*(c + 2)
Let z be 3 + 78/(-9) - 1/3. Let u be z/(-10) + 3/((-180)/(-44)). Determine n, given that u*n**2 + 2/3 - 3*n = 0.
1/4, 2
Let p(o) = o**3 - 13*o**2 - 13*o - 12. Let a be p(14). Let q = a + 5. Find m, given that q - 27*m**4 - 7 + 42*m**3 - 16*m**2 - 11*m**2 + 6*m**5 + 6*m = 0.
0, 1/2, 1, 2
Suppose 0 = 19*t - 22*t + 27. Let z be ((-42)/t)/2 + 3. Factor -z*k**3 + 2/3*k**2 - 2/3 + 2/3*k.
-2*(k - 1)**2*(k + 1)/3
Let k(t) be the second derivative of 0 - 2*t + 1/20*t**5 - 1/12*t**4 + 0*t**3 + 0*t**2. Solve k(f) = 0.
0, 1
Suppose 0 = -12*k + 5 + 19. Factor r**k - 9*r**2 + 4*r**3 + 8*r**4 - 161*r**5 + 163*r**5 - 6*r.
2*r*(r - 1)*(r + 1)**2*(r + 3)
Let j(x) = -2*x + 10. Let m be j(3). Suppose 3*b**3 - 5*b**m - 40*b + 7*b**3 + 20*b**2 + 0*b**4 = 0. Calculate b.
-2, 0, 2
Let v**3 + 28*v**5 - 26*v - 4 + 53*v**2 - 211*v**2 - 3*v**3 + 112*v**2 + 50*v**4 = 0. Calculate v.
-1, -1/2, -2/7, 1
Let t = -128 - -131. F