pose 3*j - 9 = 2*d - 0*d, 3*d - 2*j + 1 = 0. Factor 2*k + 2*k**4 + 5*k - 20*k**3 - 2*k**2 + 18*k**d - 5*k.
2*k*(k - 1)**2*(k + 1)
Let p(o) be the first derivative of 2*o**6/75 + 2*o**5/25 + o**4/15 + 26*o + 27. Let j(w) be the first derivative of p(w). Factor j(f).
4*f**2*(f + 1)**2/5
Let h(f) = f**3 - 5*f**2 + 5*f - 2. Let k be h(4). Suppose k*j - 6 = j. Factor -j - d**3 + 15*d + 0*d**3 - 12*d**2 + 5*d**3 - d**3.
3*(d - 2)*(d - 1)**2
Let r(y) be the first derivative of 0*y - 3 + 0*y**2 - 1/1800*y**6 - 1/120*y**4 - 1/300*y**5 - y**3. Let h(m) be the third derivative of r(m). Factor h(u).
-(u + 1)**2/5
Let v(t) be the third derivative of -t**6/30 + t**5/5 + 8*t**4/3 + 8*t**3 - 5*t**2 + 4. Let v(p) = 0. What is p?
-2, -1, 6
Suppose 6 = 5*g + 3*j, 4*j + 63 = -g + 71. Let 6/19*o**3 + g + 4/19*o - 14/19*o**4 - 10/19*o**5 + 14/19*o**2 = 0. What is o?
-1, -2/5, 0, 1
Let l(o) be the second derivative of 0 - 1/30*o**3 + 1/100*o**5 - 1/5*o**2 - 1/150*o**6 + 1/20*o**4 - 7*o. Factor l(f).
-(f - 2)*(f - 1)*(f + 1)**2/5
Let v(j) be the third derivative of -j**7/2100 + j**6/100 - j**5/20 + 7*j**4/60 + 25*j**3/6 + 4*j**2. Let k(l) be the first derivative of v(l). Factor k(o).
-2*(o - 7)*(o - 1)**2/5
Let n(h) be the first derivative of 1/6*h**4 + 8/9*h**3 + 5/3*h**2 + 4/3*h + 1. Factor n(w).
2*(w + 1)**2*(w + 2)/3
Let u(n) = 45*n**2 - 131*n + 48. Let t(y) = 225*y**2 + 23*y**2 - 720*y + 70 + 106 + 88. Let h(w) = 5*t(w) - 28*u(w). Factor h(p).
-4*(p - 3)*(5*p - 2)
Let b(t) be the first derivative of 0*t + 2/55*t**5 + 3/11*t**2 - 2/33*t**3 + 2 - 3/22*t**4. Determine w, given that b(w) = 0.
-1, 0, 1, 3
Let p(x) be the first derivative of 3*x**5/5 + 15*x**4 + 19*x**3 - 190. Factor p(d).
3*d**2*(d + 1)*(d + 19)
Let x(v) be the third derivative of -v**9/11340 + v**8/560 - v**7/70 + v**6/20 + v**4/6 - 8*v**2. Let p(m) be the second derivative of x(m). Solve p(i) = 0.
0, 3
Suppose -5*x - 27*f + 25 = -24*f, -5*x = -f - 5. Factor 4/9*j + 2/9*j**x + 2/9.
2*(j + 1)**2/9
Let g(a) be the third derivative of a**6/120 + 2*a**5/15 + a**4/2 - 189*a**2 + 1. Factor g(y).
y*(y + 2)*(y + 6)
Factor 66*o + 98*o**3 + 16*o**3 - 52*o**3 + 21*o**4 + 297*o**2 + 142*o**3 - 48.
3*(o + 1)**2*(o + 8)*(7*o - 2)
Suppose 0 = 5*h, 4*h + 5 + 0 = -k. Let i be ((-4)/(-10))/(k/(-25)). Factor 0*r - 1/5*r**i + 0 + 6/5*r**3 - 9/5*r**4.
-r**2*(3*r - 1)**2/5
Let h(j) = 3*j**3 + 31*j**2 + 61*j + 40. Let l(r) = 2*r**3 - r**2 - r. Let t(n) = -h(n) - l(n). Factor t(z).
-5*(z + 2)**3
Suppose 5*h - 210 = 2*b, -3*h - 3*b = -4*h + 29. Let x = h - 41. Factor 0*w + 2/11*w**2 + 6/11*w**4 + 0 + 8/11*w**x.
2*w**2*(w + 1)*(3*w + 1)/11
Let i(d) = -d**2 + 3*d**2 - 3*d**2 + 26*d. Let j(m) = 0 + 3782*m - 3773*m + 0. Let o(a) = -3*i(a) + 8*j(a). Determine n, given that o(n) = 0.
0, 2
Let b(s) be the third derivative of s**8/168 - 162*s**7/35 + 6561*s**6/5 - 708588*s**5/5 - 227*s**2. Factor b(n).
2*n**2*(n - 162)**3
Let t = -181 + 186. Let g be t/2 + (21 - 22). Factor 0*s + 3/2*s**4 + 0*s**2 - g*s**5 + 3*s**3 + 0.
-3*s**3*(s - 2)*(s + 1)/2
Let o(d) = -5*d**2 + 3*d + 5. Let c(v) = 3*v**2 + 0*v**2 + 0 - 9*v**2 + 6 + 4*v. Let t(b) = -3*c(b) + 4*o(b). Factor t(f).
-2*(f - 1)*(f + 1)
Factor -1296 - 12*m**2 - 216*m - 2/9*m**3.
-2*(m + 18)**3/9
Let g(q) be the second derivative of 8*q**7/63 - 44*q**6/45 + 37*q**5/12 - 47*q**4/9 + 31*q**3/6 - 3*q**2 - 180*q. Let g(d) = 0. What is d?
3/4, 1, 2
Let b(l) = -20*l**3 + l**2 + l + 1. Let h be b(-2). Let r = h + -1139/7. Solve -r*c**2 + 6/7*c - 4/7 = 0.
1, 2
Let j(k) be the third derivative of 2*k**2 + 0*k + 0 - 1/9*k**5 + 5/144*k**6 + 1/9*k**4 + 0*k**3. Factor j(n).
n*(5*n - 4)**2/6
Let z be (-30)/(-18)*9/5. Let b(y) be the first derivative of 10 - 2*y**2 - 1/6*y**z - 8*y. Suppose b(m) = 0. Calculate m.
-4
Suppose -50*r - 10 + 160 = 0. Factor 64/5*w**2 + 8/5 + 52/5*w + 4*w**r.
4*(w + 1)*(w + 2)*(5*w + 1)/5
Let i be 0*(-4)/16*2. Let a be (-4)/(-38) - 350/(-285). Determine y, given that -a - 1/3*y**3 + i*y + y**2 = 0.
-1, 2
Let x(o) = o**2 + 9*o + 19. Let b be x(-6). Let t(u) = -u**4 - u**3 + u**2 + 1. Let n(k) = k**4 + k**3 - 4*k + 2. Let z(p) = b*n(p) - 3*t(p). Factor z(i).
(i - 1)*(i + 1)*(2*i + 1)**2
Solve 20/9*p + 2/9*p**2 + 2 = 0 for p.
-9, -1
Let j(m) be the third derivative of -121/6*m**3 - 11/12*m**4 - 1/60*m**5 - 30*m**2 + 0 + 0*m. Suppose j(y) = 0. Calculate y.
-11
Let t(j) = j**5 + 6*j**3 - 1. Let w(r) = 9*r**5 + 189*r**4 - 486*r**3 + 321*r**2 - 54*r + 3. Let k(p) = -3*t(p) - w(p). Determine i so that k(i) = 0.
-18, 0, 1/4, 1
Suppose 5 - 15 = -5*l. Suppose 0 = 5*k + 5*t - 5, l*k + 5*t + 4 = 3. Factor -k*r - 2/3*r**3 - 2/3 - 2*r**2.
-2*(r + 1)**3/3
Let z(f) = f**3 + 11*f**2 + 11*f + 12. Suppose -l - 60 = 5*l. Let w be z(l). Factor -8/9*s**3 + 0 + 10/9*s**w + 2/9*s**4 - 4/9*s.
2*s*(s - 2)*(s - 1)**2/9
Let p = 35 - 31. Determine t, given that 2*t**3 + 2*t**2 + 21*t**4 - 2*t**5 - 13*t**4 - 10*t**p = 0.
-1, 0, 1
Let c(r) = 11*r**2 + 41*r - 3. Let f(h) = -7*h**2 - 27*h + 2. Let w(s) = -5*c(s) - 8*f(s). Let i be w(9). Suppose -2*o**2 + 2*o - 179 + i = 0. What is o?
0, 1
Let y(g) = -g**2 - g. Let w be ((-4)/8)/(2/20). Let n(d) = d**2 + d. Let z(s) = w*y(s) - 4*n(s). Suppose z(q) = 0. Calculate q.
-1, 0
Let -17*p**2 - 10*p + 35*p**2 - 21*p**2 + 8 = 0. What is p?
-4, 2/3
Let d(p) = 10*p**2 + 284*p + 104. Let a(i) = 2*i. Let u(q) = 10*a(q) - d(q). Let u(w) = 0. Calculate w.
-26, -2/5
Let v(q) be the second derivative of q**10/166320 - q**8/12320 + q**7/6930 - 3*q**4/2 + 5*q. Let d(w) be the third derivative of v(w). Factor d(t).
2*t**2*(t - 1)**2*(t + 2)/11
Let y(t) be the first derivative of 5*t**3/3 + 45*t**2/2 - 7. Determine s, given that y(s) = 0.
-9, 0
Let u = -140 - -143. Let i(h) be the first derivative of 1/12*h**4 + 1/9*h**u - 1/3*h + 2 - 1/6*h**2. Factor i(r).
(r - 1)*(r + 1)**2/3
Let t(j) be the second derivative of 0*j**5 + 0*j**3 - 1/10*j**6 + 1/2*j**4 - 30*j - 3/2*j**2 + 0. Factor t(k).
-3*(k - 1)**2*(k + 1)**2
Let s(u) be the third derivative of -u**7/3360 - u**6/720 - 8*u**3/3 - 22*u**2. Let y(w) be the first derivative of s(w). Factor y(h).
-h**2*(h + 2)/4
Let b(v) be the first derivative of 14/5*v + 2/15*v**3 + 22 + 8/5*v**2. Solve b(f) = 0.
-7, -1
Let c(z) be the first derivative of -1/6*z**2 - 1/12*z**4 - 3 + 0*z - 2/9*z**3. Solve c(d) = 0 for d.
-1, 0
Let f be 1 - (1 - 2)*-3. Let d(h) = -33*h + 6*h**2 + 65*h - 16*h. Let k(x) = x**2 + 3*x. Let u(i) = f*d(i) + 11*k(i). Find n such that u(n) = 0.
0, 1
Let j = 3395 - 64499/19. Factor 0*i + 0*i**2 + 0 + 4/19*i**3 + 2/19*i**5 + j*i**4.
2*i**3*(i + 1)*(i + 2)/19
Let x(d) be the second derivative of 2*d**5/5 + 103*d**4/3 + 2600*d**3/3 - 1352*d**2 + 290*d. Factor x(w).
4*(w + 26)**2*(2*w - 1)
Let u(q) be the first derivative of 162*q**5/65 - 504*q**4/13 - 1136*q**3/13 - 64*q**2 - 224*q/13 - 378. Find w such that u(w) = 0.
-2/3, -2/9, 14
Let u(h) = -h**2 - 3*h + 2. Let i be u(-3). Suppose 0 = -3*f, -2*f = -s + 4 + i. Find p, given that -18*p + s + 21*p**2 + 0*p - 10*p + p = 0.
2/7, 1
Suppose 0 = y + t - 41, 3*t = -y + 49 - 12. Factor 11 - 34*w - y + 4*w**2 + 26*w.
4*(w - 4)*(w + 2)
Suppose -1045*z + 1060*z + 3*z**2 - 2*z**2 + 2*z**2 = 0. What is z?
-5, 0
Factor -1/2*i**3 + 4*i**2 + 0 - 7/2*i.
-i*(i - 7)*(i - 1)/2
Let r(m) = -17*m**4 + 249*m**3 - 76*m**2. Let f(w) = -3*w**4 + w**3 + w**2. Let y(b) = -6*f(b) - r(b). Solve y(a) = 0.
0, 2/7, 7
Let u be ((-24)/(-32) + 0)*4. Let g(s) be the first derivative of 13/21*s**u + 9/35*s**5 - 5 - 10/7*s**2 + 4/7*s + 15/14*s**4. Factor g(b).
(b + 2)**2*(3*b - 1)**2/7
Let o(r) be the third derivative of -r**7/360 + r**6/60 + r**5/30 - r**4/24 + 13*r**2. Let q(i) be the second derivative of o(i). Suppose q(h) = 0. Calculate h.
-2/7, 2
Let x(t) = -4*t + 35. Let a be x(8). Let r(c) be the first derivative of -8/3*c**a - 4 + 2*c**2 + 0*c. Determine y so that r(y) = 0.
0, 1/2
Let r(a) = -11*a**2 - 134*a - 4499. Let d(x) = -2*x**2 - 2. Let o(t) = 5*d(t) - r(t). Factor o(c).
(c + 67)**2
Let s = 71 + -69. Factor 5*u**2 - 6*u**2 + 5*u + 3*u**3 + 10*u**s + 3 + 4*u.
3*(u + 1)**3
Solve 260*s**3 + 357*s**2 + 240*s + 307*s**2 - 1721 - 200*s**2 + 45*s**4 + 16*s**2 + 1641 = 0 for s.
-2, 2/9
Suppose 14*k - 156 = -114. Find a such that 9/4*a + 3/4*a**k - 3/4 - 9/4*a**2 = 0.
1
Let y(j) be the third derivative