 + 1/3*w + 2/3*w**4 - 2/3*w**2 - 1/3*w**5 + 0.
-w*(w - 1)**3*(w + 1)/3
Let v(f) = f**3 + 6*f**2 + f - 3. Let a be v(-5). Factor 90*w**3 - 120*w - 225*w**2 - 215*w**3 - 3 - a.
-5*(w + 1)*(5*w + 2)**2
Let s(h) = h**3 - 10*h**2 + 11*h - 3. Let x be s(9). Let o = x - 12. Factor 4*l - 5*l**2 - 5*l**2 + 5*l**o + 22*l**2.
l*(l + 2)*(5*l + 2)
Suppose -3*q - 3 = 3. Let p be (q/(-5))/(5/50). Factor 2 + 51*y**3 + 2*y**4 - p*y**2 - 51*y**3.
2*(y - 1)**2*(y + 1)**2
Suppose -5*v + 13 = -2*n - n, 3*n = v + 7. Let b be 1/v + 40/175. Let -b*t**2 - 3/7 + 6/7*t = 0. Calculate t.
1
Let v(d) = d**2 - 9*d - 6. Let b be v(10). Suppose 4*m - t = t + b, 0 = -4*t + 16. Solve -8*z**m + 2*z**3 + 4*z**3 - 2*z**2 + 0*z**2 = 0 for z.
-1, 0
Let y(j) = -17*j**3 - 12*j**2 + 6*j + 5. Let q be y(-1). Find n such that 2 - 3/2*n**2 + 1/4*n**q + n - 1/4*n**3 = 0.
-2, -1, 2
Let y(l) = -l**2 - 8*l - 9. Let h be y(-6). Let b be (-48)/(-77) - (92/(-28) + h). Factor -14/11*x**5 + 0*x**2 + 0 + 0*x - b*x**4 + 4/11*x**3.
-2*x**3*(x + 1)*(7*x - 2)/11
Let a(w) be the first derivative of -12*w**5/5 - 16*w**4 - 92*w**3/3 - 12*w**2 - 24. Factor a(x).
-4*x*(x + 2)*(x + 3)*(3*x + 1)
Let n(h) be the third derivative of -8/7*h**4 - 31*h**2 - 2/15*h**6 - 16/21*h**3 + 0*h - 3/245*h**7 - 4/7*h**5 + 0. Factor n(a).
-2*(a + 2)**3*(9*a + 2)/7
Let c(z) be the first derivative of z**6/2 - 5*z**5/3 - 71*z**4/4 - 343*z**3/9 - 32*z**2 - 28*z/3 - 293. Suppose c(d) = 0. Calculate d.
-2, -1, -2/9, 7
Let n(f) = 2*f**3 + 22*f**2 + 58*f + 8. Let k be n(-4). Suppose -2/19*r**2 + k + 2/19*r**3 - 4/19*r = 0. Calculate r.
-1, 0, 2
Suppose -n = -30*n + 116. Let d(i) be the first derivative of -2*i**2 + 4 - n*i - 1/3*i**3. Factor d(w).
-(w + 2)**2
Let p(d) be the first derivative of -1/2*d**2 + 1/12*d**4 - 2/9*d**3 - 29 + 0*d. Factor p(g).
g*(g - 3)*(g + 1)/3
Let p(o) = 2*o**2 + o - 3. Let a(c) = 12*c**2 + 356*c + 7732. Let l(h) = a(h) - 4*p(h). Factor l(v).
4*(v + 44)**2
Factor -294 - 2*h**4 + 5399 - 878 + 1261 + 4312*h + 82*h**3 - 1092*h**2.
-2*(h - 14)**3*(h + 1)
Let j be (1344/(-35))/(-12) - ((-16)/10 + 2). Let d = -312 + 1583/5. What is z in -j*z**3 + d*z**2 + 3/5*z**4 - 16/5*z + 4/5 = 0?
2/3, 1, 2
Let g(u) be the third derivative of u**7/210 - 2*u**6/15 + 8*u**5/5 - 32*u**4/3 + 128*u**3/3 + 286*u**2. Suppose g(v) = 0. What is v?
4
Suppose 3*n - 7*n + 100 = 0. Suppose -15*o + 2*o**2 - 2*o**2 + o**2 + 25*o + n = 0. What is o?
-5
Suppose 3*j - 3*n + 3 = 0, -3*n - 2*n = -20. Let h = -943/5 - -189. Factor -4/5*u + 0*u**2 - 2/5 + h*u**4 + 4/5*u**j.
2*(u - 1)*(u + 1)**3/5
Let m(r) = r - 3. Let b be m(7). Let n(f) = f**2 - 3*f - 28. Let v be n(8). Factor -14/3*c**3 - v*c**2 - 16/3 - 2/3*c**b - 40/3*c.
-2*(c + 1)*(c + 2)**3/3
Let q(u) = -u**3 - u + 1. Let k(t) = -t**3 - 9*t**2 - 22*t + 28. Let m(w) = k(w) - 4*q(w). Suppose m(n) = 0. Calculate n.
-2, 1, 4
Let a be 0 - -11 - ((31 - 15) + -8). Factor 3/7*j**4 + 0*j - 3/7*j**2 + 0 + 0*j**a.
3*j**2*(j - 1)*(j + 1)/7
Let b be (-18)/(-4)*4/6. Let q(w) = 14*w**3 - w**2 - 3*w + 5 - 2*w - 3*w**b. Let p(o) = -6*o**3 + 2*o - 2. Let g(r) = 5*p(r) + 2*q(r). Let g(z) = 0. What is z?
-1/4, 0
Let z(b) be the first derivative of -7/8*b**4 - 1/20*b**5 + 14*b**2 - 16*b + 39 - 11/4*b**3. Let z(y) = 0. Calculate y.
-8, 1
Let c = -10225 - -10228. Find r such that -3/7*r**4 + 12/7*r**c + 0*r**2 + 0*r + 0 = 0.
0, 4
Let v(h) be the first derivative of -3*h**4/4 + 765*h**3 - 585225*h**2/2 + 49744125*h - 325. Factor v(c).
-3*(c - 255)**3
Suppose 5*w + 25 = 0, 3580 + 1060 = 5*c - 2*w. Find l, given that c*l**2 - 924*l**2 - 3*l**3 + 4*l + l**3 = 0.
-1, 0, 2
Let h(z) be the first derivative of -z**5/40 - z**4/4 + 7*z**3/8 + z**2/2 - 5*z/2 - 7. Let h(v) = 0. What is v?
-10, -1, 1, 2
Let g(j) be the third derivative of -7*j**7/50 - 161*j**6/100 - 613*j**5/100 - 69*j**4/10 - 18*j**3/5 + 45*j**2. Find f such that g(f) = 0.
-3, -2/7
Suppose 1/6*p**2 - 1/6*p + 0 = 0. What is p?
0, 1
Let h(u) be the second derivative of u**6/240 - u**5/80 + 7*u**3/2 - 25*u. Let y(b) be the second derivative of h(b). Factor y(a).
3*a*(a - 1)/2
Let d(m) be the first derivative of -2*m**7/315 + m**6/90 + m**5/45 - m**4/18 + 9*m**2/2 + 10. Let v(l) be the second derivative of d(l). Factor v(y).
-4*y*(y - 1)**2*(y + 1)/3
Let w(m) be the first derivative of 0*m + 0*m**2 - 1/2*m**6 + 0*m**5 + 8 + 0*m**3 + 3/4*m**4. Factor w(k).
-3*k**3*(k - 1)*(k + 1)
Let g(b) be the second derivative of b**4/60 - 2*b**3/15 + 2*b**2/5 - 148*b. Factor g(h).
(h - 2)**2/5
Let b = 57 - 54. Factor -3*d**b - 255*d**4 + 9*d**2 + 6*d - 3*d**3 + 246*d**4.
-3*d*(d - 1)*(d + 1)*(3*d + 2)
Let z(l) = -l - 9. Suppose 19 + 3 = -v + 5*p, 4*v = p - 50. Let c be z(v). Factor -2*a**2 + 7 + 0*a + 4*a - 2*a**c - 7.
-2*a*(a - 1)*(a + 2)
Let u = -319 + 322. Suppose -4*b + 14 = u*b. Factor 0 - 1/3*a**b - 1/3*a.
-a*(a + 1)/3
Let k be (2 - (-10)/(-12))*(-2)/8. Let n = 5/8 + k. Factor 0 + 1/3*f + 2/3*f**2 - 2/3*f**4 + 0*f**3 - n*f**5.
-f*(f - 1)*(f + 1)**3/3
Let f(v) be the third derivative of v**6/1140 - 47*v**5/570 + 600*v**2. Factor f(g).
2*g**2*(g - 47)/19
Let l(b) be the first derivative of b**5/70 + 4*b**4/21 + 5*b**3/21 + 35*b**2/2 - 29. Let r(j) be the second derivative of l(j). Factor r(i).
2*(i + 5)*(3*i + 1)/7
Let j = 2428/12165 - -1/2433. Let u(c) be the second derivative of -8*c + 0 + j*c**3 - 1/5*c**2 + 2/15*c**4. Factor u(l).
2*(l + 1)*(4*l - 1)/5
Let x(y) = -y**3 - y**2 + 2*y + 142. Let p be x(0). Let h = 712/5 - p. Determine k so that 0*k - h*k**2 - 2/5*k**3 + 0 = 0.
-1, 0
Let p(k) be the second derivative of -5/6*k**3 - 8*k + 0 + 5/12*k**4 - 5*k**2. Factor p(d).
5*(d - 2)*(d + 1)
Suppose f + g - 149 = 0, 0*f + 3*f - 431 = g. Let b = f + -141. Solve 0*h + 2/3*h**3 + 0 - 1/3*h**2 - 1/3*h**b = 0.
0, 1
What is g in 40*g**3 + 575*g + 5*g**4 - 5*g**2 - 283*g - 332*g = 0?
-8, -1, 0, 1
Let s = 17297 + -17292. What is c in -19*c**2 - 2 - 33/8*c**4 + 13*c**3 + 12*c + 1/2*c**s = 0?
1/4, 2
Let v(r) be the first derivative of 0*r + 5/3*r**2 - 2/9*r**3 - 29. Factor v(h).
-2*h*(h - 5)/3
Let d be ((-8)/(-22))/((-468)/(-858)). Let i(z) be the first derivative of 2*z - d*z**3 - 11 + 1/2*z**2 - 1/4*z**4. Factor i(v).
-(v - 1)*(v + 1)*(v + 2)
Let u(r) be the first derivative of 0*r + 4/15*r**5 + 2/3*r**4 + 39 + 1/27*r**6 + 16/27*r**3 + 0*r**2. Factor u(x).
2*x**2*(x + 2)**3/9
Suppose -6*t = 96*t - 271 - 35. Find c, given that 18/7*c**t + 2*c**2 + 0 + 10/7*c**4 + 2/7*c**5 + 4/7*c = 0.
-2, -1, 0
Let w(b) be the second derivative of -b**4/54 + 4*b**3/9 - 11*b**2/9 - 2*b - 24. Factor w(v).
-2*(v - 11)*(v - 1)/9
Let y(l) be the third derivative of l**5/120 - l**4/4 + 3*l**3 + 30*l**2 - 2. Factor y(d).
(d - 6)**2/2
Let y be -4 + (3 + -4 - -7). Let 2 - 2*f**y - 5*f - 3*f**2 + 2*f**2 + 0 = 0. Calculate f.
-2, 1/3
Let i(f) be the second derivative of f**4/6 + 132*f**3 + 39204*f**2 + 477*f. Factor i(w).
2*(w + 198)**2
Let j(l) be the third derivative of -l**8/420 - 32*l**7/525 + l**6/150 + 16*l**5/75 + 22*l**2. Determine q, given that j(q) = 0.
-16, -1, 0, 1
Let j = 59 + -55. Suppose 43*p**2 - 24*p**3 - 78*p - 12*p**3 + 14*p + 53*p**2 + j*p**4 = 0. What is p?
0, 1, 4
Factor 2/15*c**5 - 2/5*c**3 + 0 + 0*c - 8/15*c**4 + 12/5*c**2.
2*c**2*(c - 3)**2*(c + 2)/15
Let u(h) be the first derivative of h**6/30 - 16*h**5/25 + 23*h**4/10 + 48*h**3/5 + 81*h**2/10 - 228. Factor u(f).
f*(f - 9)**2*(f + 1)**2/5
Let s(u) be the third derivative of -u**8/560 + u**7/140 + 7*u**6/120 + u**5/10 - 19*u**3/6 - 5*u**2. Let r(c) be the first derivative of s(c). Factor r(b).
-3*b*(b - 4)*(b + 1)**2
Let u(a) be the second derivative of 1/3*a**4 + 0 + 4/3*a**3 + a + 2*a**2. Factor u(t).
4*(t + 1)**2
Let h(c) = 2*c**2 + 88*c + 287. Let z(u) = -u**2 - 29*u - 96. Let f(n) = 6*h(n) + 17*z(n). Solve f(t) = 0 for t.
-2, 9
Suppose -3*u + a - 3 = -19, 5*a + 10 = u. Let b(j) be the third derivative of 2/75*j**u + 0*j - 3*j**2 + 0 - 1/12*j**4 + 1/15*j**3. Factor b(z).
2*(z - 1)*(4*z - 1)/5
Let a(r) be the second derivative of 0 - 1/150*r**6 - 1/10*r**2 + 1/30*r**4 + 0*r**5 + 0*r**3 + 12*r. Factor a(u).
-(u - 1)**2*(u + 1)**2/5
Let u be 2 + -1 + (-120)/(-3450)*23. Factor u - 1/5*d**2 + 0*d.
-(d - 3)*(d + 3)/5
Let h be 2*(14 + -11) + -4*1. Factor -10/7*v - 4/7*v**h - 4/7.
-2*(v + 2)*(2*v + 1)/7
Let j(u) be the second deriva