- z*m**2 - 1/2*m**4. Factor x(y).
y*(y - 2)*(y - 1)**2/2
Let i(l) = -l**2 - 6*l - 12. Let v(y) = 6*y**2 + 35*y + 72. Let g(q) = -39*i(q) - 6*v(q). Factor g(x).
3*(x + 2)*(x + 6)
Let z = -764/35 - -112/5. Factor -6/7*t**2 + 0 + z*t**3 - 4/7*t.
2*t*(t - 2)*(2*t + 1)/7
Let a(r) = -r**4 + 3*r**3 + 2*r**2 + r. Let u(m) = -3*m**4 + 29*m**3 - 29*m**2 - 37*m + 30. Let g(s) = 2*a(s) + u(s). Factor g(h).
-5*(h - 6)*(h - 1)**2*(h + 1)
Suppose -16 = -2*f - 2*a, 6*f - 2*f - 5*a + 4 = 0. Let v(j) be the second derivative of 1/60*j**5 + 1/6*j**2 + 7/72*j**f + 0 + 3*j + 7/36*j**3. Factor v(w).
(w + 1)*(w + 2)*(2*w + 1)/6
Let x = 114/17 - 434/85. Suppose 6/5*b**2 - 2*b**3 + x*b**5 + 2/5*b + 0 - 6/5*b**4 = 0. Calculate b.
-1, -1/4, 0, 1
Let d(p) be the third derivative of 1/108*p**4 - 32*p**2 + 0 - 1/135*p**5 + 1/540*p**6 + 0*p + 0*p**3. Factor d(y).
2*y*(y - 1)**2/9
Let x(g) be the second derivative of g**7/294 - 4*g**6/105 + g**5/28 + g**4/6 - 17*g. Factor x(q).
q**2*(q - 7)*(q - 2)*(q + 1)/7
Let a = 8/57 - 109/912. Let h(l) be the third derivative of a*l**4 - 1/840*l**7 + 0 - 1/48*l**5 + 0*l**3 + 4*l**2 + 1/120*l**6 + 0*l. Find q such that h(q) = 0.
0, 1, 2
Let m be (-1)/1*(-8)/28. Let l be (2/21)/((-4)/(-36)). Factor -6/7*a + l*a**2 + 2/7 - m*a**3.
-2*(a - 1)**3/7
Let j(r) = 2*r + 22. Let t be j(-10). Let z(b) = -13*b**4 - 8*b**3 - b + 4. Let y(w) = 3*w**4 + 2*w**3 - 1. Let v(g) = t*z(g) + 9*y(g). What is o in v(o) = 0?
-1, 1
Factor 1/10*i**5 - 37/5*i**2 + 39/10*i**3 - 12/5 - i**4 + 34/5*i.
(i - 3)*(i - 2)**3*(i - 1)/10
Suppose -5*a + b + 5 = 0, -40*a + 38*a - 5*b + 29 = 0. Factor 2/5*r**3 + 2/5*r**a - 1/5 - 1/5*r - 1/5*r**4 - 1/5*r**5.
-(r - 1)**2*(r + 1)**3/5
Let q(a) be the third derivative of a**11/665280 - a**10/151200 + a**9/120960 + 7*a**5/30 - 3*a**2. Let w(j) be the third derivative of q(j). Factor w(b).
b**3*(b - 1)**2/2
Let z(b) be the third derivative of -b**7/240 + b**6/80 - b**5/120 + 2*b**3/3 + 22*b**2. Let t(w) be the first derivative of z(w). Factor t(r).
-r*(r - 1)*(7*r - 2)/2
Suppose -4*r + 20 = -0*r. Suppose -r*f + 6 = -4. Suppose -17*a**f + 2 - 12*a**4 - 4 + 32*a**3 + 6 - 7*a**2 = 0. Calculate a.
-1/3, 1
Let i(x) be the third derivative of 0*x - 1/8*x**4 + 0*x**3 + 0*x**6 + 0 - 1/10*x**5 + 1/112*x**8 + 1/35*x**7 + x**2. Solve i(u) = 0 for u.
-1, 0, 1
Let v(o) = -9*o**2 + 39*o - 10. Let p be v(4). Let k(h) be the second derivative of -2/3*h**3 + 1/2*h**4 + 0*h**2 + 0 - p*h - 1/10*h**5. Factor k(x).
-2*x*(x - 2)*(x - 1)
Let p(h) be the second derivative of -3*h**5/20 + 2*h**4 + 9*h**3/2 + 2*h. Factor p(q).
-3*q*(q - 9)*(q + 1)
Let s(p) = -6 + 16 + 3*p**3 + 28 - 4*p**3 - 2*p + 19*p**2. Let v be s(19). Factor 2/3*h + v - 1/2*h**3 - 2/3*h**2.
-h*(h + 2)*(3*h - 2)/6
Let d(v) = -v**2 + 14*v + 7. Let t be d(14). Let m be ((-1)/t)/(5/(-10)). Factor 0*y**2 + 0*y**3 + 0*y - 2/7*y**5 + m*y**4 + 0.
-2*y**4*(y - 1)/7
Let j(y) be the first derivative of -y**6/54 - 7*y**5/45 - 2*y**4/9 + 16*y**3/27 + 686. Suppose j(a) = 0. What is a?
-4, 0, 1
Factor 1 + 11*w + 15*w**2 + 3*w + 8 + 2*w**3 + w**3 + 7*w.
3*(w + 1)**2*(w + 3)
Let b(r) be the first derivative of r**5/20 - r**4/4 + 5*r**2 + 3. Let q(k) be the second derivative of b(k). Factor q(d).
3*d*(d - 2)
Suppose 72*q = 48*q. Find y such that -3/7*y - 1/7*y**3 + q + 4/7*y**2 = 0.
0, 1, 3
Factor -78*w**2 + w**3 - 4 - 8*w - 10 + 2 + 79*w**2.
(w - 3)*(w + 2)**2
Suppose 4*f = -5*d + 219, -5*d + 64 = f + 13. Let k be (2/12)/(14/f). Factor -y**2 - 1/3*y + k.
-(y + 1)*(3*y - 2)/3
Let k(f) be the second derivative of f**4/3 + 4*f**3/3 - 6*f**2 - 47*f - 2. Suppose k(q) = 0. Calculate q.
-3, 1
Suppose 16*q = -7*q + 7*q. Let j(p) be the first derivative of 0*p**2 + 1/12*p**6 + 2 + q*p**3 + 1/8*p**4 + 0*p + 1/5*p**5. Solve j(m) = 0 for m.
-1, 0
Factor -94*c - 28*c**3 - 96 + 427*c + 316*c**2 - 85*c.
-4*(c - 12)*(c + 1)*(7*c - 2)
Let y(j) = 2*j**4 - j**3 + j**2 - 1. Let l(m) = 11*m**4 - 4*m**3 + 2*m**2 - 5*m - 7. Let k(t) = -l(t) + 5*y(t). Find q such that k(q) = 0.
-1, 2
Let w(y) = -5 + 8*y**2 - 13*y**2 + 3*y + 7*y**2. Let t be w(-5). Factor -53*b**3 + 342 + 192*b**2 + 21*b**3 + 2*b**4 + 140 - 512*b + t.
2*(b - 4)**4
Let m(a) = -a**3 - 7*a**2 + 7*a - 4. Let n be m(-8). Suppose 3*q - n*k = 18, -3*q + 2 = 4*k + 8. What is b in 14/13*b**q - 4/13*b + 0 = 0?
0, 2/7
Let h = 137/3 - 667/15. Let c = 36661 - 36659. Factor h*b**3 - 14/5*b**c + 4/5*b + 0.
2*b*(b - 2)*(3*b - 1)/5
Let t(q) = 10*q + 45. Let c be t(-4). Let j(y) be the first derivative of -3*y - c + 9/2*y**2 + 3/4*y**4 - 3*y**3. What is d in j(d) = 0?
1
Let b(y) = y**2 + 5 + 1 - 7 + 5. Let q be b(0). Factor 0 - 2/9*c**q + 0*c - 8/9*c**2 - 8/9*c**3.
-2*c**2*(c + 2)**2/9
Let n = 9/2 - 3. Let b(j) be the second derivative of 1/4*j**4 + n*j**3 - 6*j**2 + 0 - j. Determine a, given that b(a) = 0.
-4, 1
Suppose l = -2 + 4. Find m, given that -l*m**3 + 16*m + m**3 - 15*m = 0.
-1, 0, 1
Suppose -o = -4*w + 12, -w - 5*o + 4*o + 3 = 0. Factor 3*r**2 + w*r**3 - 3*r + 0*r - 424*r**4 + 421*r**4.
-3*r*(r - 1)**2*(r + 1)
Let w(x) = -11*x**2 + 27*x + 24. Let o(s) = 7*s**2 - 14*s - 13. Let m(c) = -7*o(c) - 4*w(c). Let m(j) = 0. What is j?
-1
Suppose -4*p - 2*c = -22, -2*p + 125*c + 16 = 127*c. Factor -2/15*o**p + 2/15*o + 0 - 2/15*o**2 + 2/15*o**4.
2*o*(o - 1)**2*(o + 1)/15
Factor 44*i + 310*i**3 - 119*i + 35*i**2 + 45 - 315*i**3.
-5*(i - 3)**2*(i - 1)
Let c(l) = 10*l**3 - 44*l**2 + 128*l + 16. Let j(g) = 3*g**3 - 15*g**2 + 43*g + 5. Let f(r) = 5*c(r) - 16*j(r). Determine y, given that f(y) = 0.
-12, 0, 2
Let w(l) be the third derivative of 0 + 12*l**2 + 0*l**3 - 5/48*l**4 + 0*l - 1/48*l**6 - 1/12*l**5. Factor w(d).
-5*d*(d + 1)**2/2
Suppose 5*c + a = 47 - 17, 5*a = 25. Let h(d) be the second derivative of 0*d**3 - 1/36*d**4 + 0 + 2/3*d**2 + c*d. Solve h(q) = 0.
-2, 2
Let k(o) be the third derivative of -o**9/7560 + o**7/1260 + 5*o**4/12 - o**2. Let t(m) be the second derivative of k(m). Factor t(s).
-2*s**2*(s - 1)*(s + 1)
Let y(g) be the third derivative of 0*g + 2/27*g**3 - 3*g**2 - 5/108*g**4 + 0 - 1/540*g**6 + 2/135*g**5. Factor y(d).
-2*(d - 2)*(d - 1)**2/9
Let t(n) be the third derivative of 6*n**3 + 119/20*n**5 - 10*n**4 + 49/40*n**6 + 2*n**2 + 0 + 0*n. Solve t(g) = 0.
-3, 2/7
Let h(w) be the second derivative of 14*w + 2*w**2 + 1/5*w**5 - 2/3*w**3 + 0 - 1/3*w**4. Solve h(j) = 0.
-1, 1
Solve 20/3*v**5 + 4/3*v**2 - 28/3*v**4 + 0 - 9*v**3 + 4/3*v = 0 for v.
-1/2, 0, 2/5, 2
Let g = -3274/5 - -655. Determine y, given that -1/5*y**2 + 3/5*y**3 - g*y**5 - 2/5*y + 0 + 1/5*y**4 = 0.
-1, 0, 1, 2
Let h(c) be the third derivative of c**8/840 - 2*c**7/175 + 11*c**6/300 - c**5/25 - 2*c**2 + 75. Solve h(s) = 0.
0, 1, 2, 3
Suppose -4*q - 38 - 91 = -3*o, 4*q + 4*o + 108 = 0. Let l be (54/150 - 3/5)*q. Solve -2*z**3 + 16/5 - 24/5*z - l*z**2 = 0.
-2, 2/5
Let f(l) be the second derivative of 2*l**6/15 - 37*l**5/5 + 431*l**4/4 + 703*l**3/3 + 361*l**2/2 - 438*l. Solve f(y) = 0 for y.
-1/2, 19
Let h(n) be the first derivative of 0*n**2 - 5/3*n**4 - 6 + 25/6*n**6 + 4/3*n**3 - n - 5/2*n**5. Let z(l) be the first derivative of h(l). Factor z(o).
o*(5*o - 2)**2*(5*o + 2)
Let y(v) = v**2 + 10*v + 2. Let j be y(-10). Suppose -3*m + 3*m**3 - 13*m**2 + 10*m**j - 3*m**4 + 6*m**4 = 0. What is m?
-1, 0, 1
Suppose 8*o**2 + 17*o - 17*o**3 - o**4 + 5*o**2 - 4*o**2 + 10*o**2 - 18 = 0. Calculate o.
-18, -1, 1
Suppose 45*f - 49*f + 11*x + 108 = 0, 2*x = -2*f + 54. Factor -6*a + 1/3*a**2 + f.
(a - 9)**2/3
Let b be 1/3 - 84/9. Let w = b - -14. Factor -4*g - 18*g**4 + 0*g + 22*g**2 + g**3 - 20*g**3 - w*g**3.
-2*g*(g + 2)*(3*g - 1)**2
Suppose -9*a + 2*a + 14 = 0. What is j in -11*j + 13*j**2 - a - j**2 + j + 0*j**2 = 0?
-1/6, 1
Let b(u) be the first derivative of -u**5 + 85*u**4/4 - 110*u**3 + 180*u**2 - 579. Suppose b(o) = 0. Calculate o.
0, 2, 3, 12
Let h(n) = -n**2 + 9*n - 3. Let c be h(4). Let s = -13 + c. Find z, given that 233*z**3 + 60*z - 19*z**2 - 12 - 26*z**2 - 1409*z**3 + 2352*z**s + 36*z = 0.
-2/7, 1/4, 2/7
Let o(p) = -p**3 + 15*p**2 + 20*p - 27. Let s be o(16). Factor 3*n**2 + 5*n**2 + 5*n**4 + 10 + s*n**2 - 25*n**3 - 35*n.
5*(n - 2)*(n - 1)**3
Let n(x) be the third derivative of x**9/8640 + x**8/10080 - 7*x**5/60 + 14*x**2. Let t(p) be the third derivative of n(p). Factor t(j).
j**2*(7*j + 2)
Suppos