
-4*a*(a - 1)
Let x(h) = -6*h**2 - 6*h + 7. Let t(l) = -l**2 - l + 1. Let j(b) = 28*t(b) - 4*x(b). Factor j(v).
-4*v*(v + 1)
Let g(w) be the first derivative of w**8/168 + 4*w**7/105 + 2*w**2 - 20. Let q(t) be the second derivative of g(t). Factor q(i).
2*i**4*(i + 4)
Let z(l) be the third derivative of 201/10*l**6 + 25*l**2 + 0*l + 48*l**3 + 0 + 142/3*l**5 + 144/35*l**7 + 62*l**4 + 9/28*l**8. Determine n so that z(n) = 0.
-3, -2/3
Let s(t) be the third derivative of t**7/140 + t**6/20 - t**4 - 4*t**3 + 109*t**2. Factor s(c).
3*(c - 2)*(c + 2)**3/2
Let j be 1565/1252 - 6/(-8). Factor -2/9*p**4 - 4/3*p**3 - 26/9*p**j - 8/9 - 8/3*p.
-2*(p + 1)**2*(p + 2)**2/9
Suppose 19*j + 24 = 16*j. Let x(m) = m**3 + 8*m**2 - 3*m - 20. Let q be x(j). Factor 0 + 0*u - 4/3*u**5 + 0*u**2 - 2/3*u**q + 0*u**3.
-2*u**4*(2*u + 1)/3
Let p(g) be the second derivative of -g**6/240 + 3*g**5/32 - 37*g**4/48 + 11*g**3/4 - 9*g**2/2 + 176*g + 1. Factor p(o).
-(o - 6)**2*(o - 2)*(o - 1)/8
Suppose 14*f - 1388 = -9*f - 1319. Factor 6/5*w**f + 0*w + 4/5*w**2 + 0.
2*w**2*(3*w + 2)/5
Suppose 5*o - o = -4*m, m = 2*o + 6. Let y(q) be the first derivative of 0*q**m + 7 + 1/35*q**5 + 0*q + 2/21*q**3 - 3/28*q**4. Let y(v) = 0. What is v?
0, 1, 2
Let m = 32 + -27. Suppose -3*g + 3 = 4*i, 3*i - 3*g - 3 = 15. Factor -i*d**2 + 0*d**2 + 8 - m.
-3*(d - 1)*(d + 1)
Let c(o) = -o**3 - 12*o**2 + 9*o + 60. Let x be c(-7). Let t = -244 - x. Let 0*k + 4/11*k**t + 2/11*k**5 + 0 + 0*k**2 + 2/11*k**3 = 0. Calculate k.
-1, 0
Let k(f) be the first derivative of -f**6/60 + f**5/40 + f**4/8 - 5*f**3/12 + f**2/2 - 8*f - 9. Let a(i) be the first derivative of k(i). Factor a(j).
-(j - 1)**3*(j + 2)/2
Suppose x + 5*x - 12 = 0. Factor 0*j + x - 1/2*j**2.
-(j - 2)*(j + 2)/2
Let a be 6/(-4)*1092/(-4914). Find q such that 7/3*q**2 - 2*q**3 + 0*q + 0 - a*q**4 = 0.
-7, 0, 1
Let h(m) = -23*m**2 + 4*m. Let d(o) = 68*o**2 - 11*o. Suppose 28*l - 24*l = -68. Let g(q) = l*h(q) - 6*d(q). Let g(b) = 0. Calculate b.
-2/17, 0
Let y(k) = k**2 - 9*k - 12. Let c be y(10). Let w be (c/(-16))/((-9)/(-72)). Factor 0*s**5 + 4*s**2 - w + s - 2*s**3 - 2*s**2 + 2*s**5 - s**4 - s**5.
(s - 1)**3*(s + 1)**2
Let h(f) = -2*f**2 - f + 2. Let r(b) = b**3 - 47*b**2 - 3*b + 6. Let m(s) = 3*h(s) - r(s). Factor m(p).
-p**2*(p - 41)
Let d(r) be the first derivative of -r**4/4 + 31*r**3/3 + 16*r**2 - 533. Factor d(w).
-w*(w - 32)*(w + 1)
Let x(z) be the third derivative of 0*z**4 + 1/330*z**5 + 0*z - 1/33*z**3 + 0 - 8*z**2. Factor x(t).
2*(t - 1)*(t + 1)/11
Let s(p) be the first derivative of -2*p**5/45 - 2*p**4/3 - 92. Factor s(g).
-2*g**3*(g + 12)/9
Let f(g) be the first derivative of -g**6/33 - 2*g**5/55 + 3*g**4/22 + 2*g**3/33 - 2*g**2/11 + 50. Let f(j) = 0. Calculate j.
-2, -1, 0, 1
Let a(u) be the third derivative of u**8/2800 - u**7/280 + u**6/75 - u**5/50 - 8*u**3/3 + 11*u**2. Let b(f) be the first derivative of a(f). Factor b(o).
3*o*(o - 2)**2*(o - 1)/5
Let d be (56/77)/(132/242). Factor 1/6*i**4 + 0*i - d*i**2 + 8/3 + 0*i**3.
(i - 2)**2*(i + 2)**2/6
Find x such that 1/6*x**4 - 2/3*x + 2/3*x**3 + 0 - 1/6*x**2 = 0.
-4, -1, 0, 1
Let c(y) = y**3 - y**2 - 2*y + 3. Let v be c(0). Suppose 0 = 17*g - 54 + v. Factor 0 + 1/6*p + 1/6*p**g - 1/3*p**2.
p*(p - 1)**2/6
Suppose 0*q + 110 = 18*q + 4*q. Find o such that 1/3*o**2 + 1/6*o**q - 1/6*o**3 + 0*o + 0 - 1/3*o**4 = 0.
-1, 0, 1, 2
Suppose -196*w + 92*w = -99*w - 15. What is m in -2/7*m**2 + 0 + 2/7*m**w + 0*m = 0?
0, 1
Let f(l) be the second derivative of 5*l**7/84 + l**6/9 - 19*l**5/12 - 55*l**4/9 - 305*l**3/36 - 5*l**2 + 597*l. Determine h so that f(h) = 0.
-3, -1, -1/3, 4
Let -2*l**4 + 8*l**2 + 3*l**4 + 16*l**3 + 4416*l - 4464*l - 5*l**4 - 36 = 0. Calculate l.
-1, 3
Let w(k) be the second derivative of -6*k**7/7 - 14*k**6/5 - 17*k**5/5 - 17*k**4/9 - 4*k**3/9 - k + 19. Suppose w(h) = 0. Calculate h.
-1, -2/3, -1/3, 0
Let q = 0 - 1. Let f be -1*(-13 + 1 + q). Let c(l) = -6*l**2 - 13*l - 7. Let n(y) = -3*y**2 - 6*y - 3. Let m(t) = f*n(t) - 6*c(t). Factor m(v).
-3*(v - 1)*(v + 1)
Let m be (3 + -5)*(-3)/2. Suppose -5*i + 37 = -4*x + 11, 3*x - m = 0. Factor -5*l - 13*l**4 + 8*l**4 - 31*l**4 - 4*l - i + 42*l**2 - 12*l**3 + 21*l**5.
3*(l - 1)**3*(l + 1)*(7*l + 2)
Let t(j) be the first derivative of -4*j**5 + 125*j**4/4 - 10*j**3 + 26. Find d, given that t(d) = 0.
0, 1/4, 6
Let x = -7574 + 7577. Let d = 121/6 - 1561/78. Determine m so that 0 + 2/13*m**4 - 2/13*m**2 - 2/13*m**x + 0*m + d*m**5 = 0.
-1, 0, 1
Let p = 2439 + -2437. Let o(v) be the first derivative of 0*v**p + 0*v**4 + 0*v + 3 + 1/35*v**5 - 1/21*v**3. Suppose o(m) = 0. What is m?
-1, 0, 1
Let c be (6/(-3))/(8/36). Let t be -1*(c/3 - 4). Factor -4*s**2 + 4*s**3 + 3*s**2 - t*s**3 + 2*s**5 + s + s**4.
s*(s - 1)*(s + 1)**2*(2*s - 1)
Let r be ((-12)/9)/(40/16 + (-18)/4). Determine m, given that 24 - 8*m + r*m**2 = 0.
6
Let j = -7424/45 - -1486/9. Factor -j*n**5 - 2/15*n**4 + 4/15*n**3 - 2/15*n + 4/15*n**2 - 2/15.
-2*(n - 1)**2*(n + 1)**3/15
Let m = 421/5 - 84. Let l(a) be the first derivative of -1/10*a**2 + 1/15*a**3 + 2 - m*a + 1/20*a**4. Solve l(n) = 0 for n.
-1, 1
Let v(f) be the second derivative of 1/14*f**5 + f + 0*f**3 + 0*f**2 - 1/105*f**6 + 0*f**4 + 0. Factor v(u).
-2*u**3*(u - 5)/7
Let n(o) = -3*o + 54. Let x be n(17). Suppose -20 - 5*a**2 + 5*a + 23*a - x*a = 0. Calculate a.
1, 4
Let r(j) = 5*j**2 + 3. Let c = -13 + 9. Let t(k) = -4*k**2 - 2. Let w(b) = c*r(b) - 6*t(b). Suppose w(z) = 0. What is z?
0
Let -36*r - 110/3 + 2/3*r**2 = 0. Calculate r.
-1, 55
Let u(s) = -2*s**4 + 6*s**3 + 10*s**2 - 18*s + 10. Let t(x) = -x**4 + 7*x**3 + 9*x**2 - 17*x + 11. Let k = -73 + 70. Let q(g) = k*u(g) + 2*t(g). Factor q(n).
4*(n - 1)**3*(n + 2)
Let v(c) be the third derivative of -c**5/12 + 85*c**4/12 - 106*c**2 + 2. Let v(g) = 0. Calculate g.
0, 34
Let s(o) be the third derivative of 11*o**8/112 + o**7/2 + 39*o**6/40 + 17*o**5/20 + o**4/4 - o**2 - 100. Factor s(b).
3*b*(b + 1)**3*(11*b + 2)
Find s such that 1/6*s - 1/2 - 1/6*s**3 + 1/2*s**2 = 0.
-1, 1, 3
Let 72*f + 0 - 2/3*f**2 = 0. What is f?
0, 108
Let p(j) be the first derivative of -j**4/2 + 44*j**3/3 - 57*j**2 + 74. Suppose p(d) = 0. What is d?
0, 3, 19
Let j be ((-140)/21 + 7)*(1 - 0). Factor 2/3*h**3 + 0 - j*h**4 - 1/3*h**2 + 0*h.
-h**2*(h - 1)**2/3
Let w(a) = -a**3 + 9*a**2 - a + 12. Let y be w(9). Let k be ((-3)/(-36))/(y/9). Factor k*d**3 + 27/4 + 9/4*d**2 + 27/4*d.
(d + 3)**3/4
Let c be (-6)/(-21) + ((-15692)/(-154))/1. Let x = c + -102. Find d such that -2/11 + x*d**2 + 0*d = 0.
-1, 1
Let h(a) = a**2 + a + 1. Let q(o) = -o**2 - 15*o - 13. Let z(u) = -2*h(u) + 2*q(u). Solve z(n) = 0.
-7, -1
Let d be 10 + -11 + (-210)/(-209). Let m = 2297/418 + d. Solve m*g**3 - 15/2*g**4 + 17/3*g**2 + 4/3 - 6*g = 0 for g.
-1, 2/5, 2/3
Let o(p) be the second derivative of -7*p**4/24 - p**3/6 + 6*p**2 - 48*p. Factor o(f).
-(f + 2)*(7*f - 12)/2
Let r(y) be the third derivative of 1/120*y**5 + 7*y**2 - 1/4*y**3 + 0 + 0*y + 1/24*y**4. Factor r(c).
(c - 1)*(c + 3)/2
Let m(l) be the second derivative of 0*l**2 + 0 - 1/40*l**5 + 1/12*l**4 + 0*l**3 - l. Factor m(c).
-c**2*(c - 2)/2
Let m = -14 - -16. Factor 0*v**3 + 2*v**2 - v**3 + 2*v**m - 3*v**2.
-v**2*(v - 1)
Factor 3161*l - 3167*l - 38*l**2 - 42*l**3 - 4*l**4 - 6*l**4.
-2*l*(l + 1)*(l + 3)*(5*l + 1)
Let m(v) be the second derivative of v**8/8960 - v**7/560 + 3*v**6/320 - v**5/40 - v**4 - 9*v. Let k(o) be the third derivative of m(o). Solve k(u) = 0 for u.
1, 4
Let t(h) = 2*h**2 + 328*h. Let f(z) = -z**2 - 168*z. Let g(d) = -7*f(d) - 4*t(d). Factor g(k).
-k*(k + 136)
Let t(z) = -z**3 + 8*z**2 - 12*z - 11. Let w be t(4). Let s(f) be the first derivative of 1/5*f**3 + w + 3/10*f**2 + 0*f. Find r, given that s(r) = 0.
-1, 0
Solve 240*s - 337 - 312*s**3 - 191 + 207*s**4 - 156*s**4 + 408*s**2 + 3*s**5 = 0 for s.
-22, -1, 2
Let h(s) be the first derivative of -s**4 + 4*s**3 - 4*s**2 - 28. Factor h(z).
-4*z*(z - 2)*(z - 1)
Let p be -14*((-10)/6)/(8/12). Find d, given that d**4 + 45*d**2 + 7*d**4 - 25*d**3 - 1 - p*d + 11 - 3*d**4 = 0.
1, 2
Let s(g) be the third derivative of 0*g**3 - 3*g - 1/150*g**5 + 3*g**2 + 0 + 2/15*g**4. Determine f so that s(f) = 0.
0, 8
Let c(x) be the third derivative of x**7/5880 - x**6/560 - x**5/70 + 17*x**4/12 - x**2. Let q(b) be the se