of 2*r**5/75 - r**4/5 + 8*r**3/15 - 8*r**2/15 + 34. Factor i(w).
2*w*(w - 2)**3/15
Let y(s) = -s**3 - 1. Suppose -5*t = -j - 9, 0 = -5*t + 5*j + 28 - 3. Let o(h) = 5*h**3 - 4*h**2 - 3*h + 6. Let v(n) = t*o(n) + 6*y(n). Factor v(g).
-g*(g + 1)*(g + 3)
Let 318*x**3 - 30*x**4 + 3 + 18 - 5 + 146*x**3 + 18 + 764*x**2 + 304*x = 0. What is x?
-1, -1/3, -1/5, 17
Factor 324/5*h**2 + 36/5*h**4 - 162/5*h**3 + 0 - 3/5*h**5 - 243/5*h.
-3*h*(h - 3)**4/5
Let p = -32 - -37. Let v(q) = -q**3 + 7*q**2 - 4*q - 3. Let r be v(p). Factor -5*f**3 - 3 - 22 - 60*f + 12 - r - 30*f**2.
-5*(f + 2)**3
Let s(k) be the second derivative of 5*k**7/126 - 13*k**6/90 - 7*k**5/20 + 29*k**4/36 + 22*k**3/9 + 2*k**2 - 627*k. Determine g, given that s(g) = 0.
-1, -2/5, 2, 3
Let d(g) be the second derivative of g**4 - 1/10*g**5 - 16/21*g**7 - 1/3*g**3 + 0*g**2 + 0 - 8/5*g**6 + 2*g. Factor d(x).
-2*x*(x + 1)**2*(4*x - 1)**2
Let n(q) be the second derivative of -q**4/72 + q**3/4 - 5*q**2/3 + 166*q. Suppose n(h) = 0. Calculate h.
4, 5
Let w(l) be the third derivative of -5/36*l**4 + 0*l**3 + 0*l**6 - 1/126*l**7 + 0 + 1/12*l**5 + 0*l - 7*l**2. Factor w(j).
-5*j*(j - 1)**2*(j + 2)/3
Let z(h) be the first derivative of h**5/70 - 15*h**4/14 + 225*h**3/7 - 3375*h**2/7 + 14*h - 2. Let m(o) be the first derivative of z(o). Factor m(q).
2*(q - 15)**3/7
Let s(n) be the second derivative of -n**7/12 - 19*n**6/60 - 3*n**5/8 - n**4/24 + n**3/6 + 45*n. Factor s(a).
-a*(a + 1)**3*(7*a - 2)/2
Let y(b) = 2*b**4 - 7*b**3 - 3*b**2 + 7*b - 3. Let n(o) = 3*o**4 - 8*o - 4 - 4*o**2 + 10*o - 8*o**3 + 6*o. Let a(l) = -4*n(l) + 5*y(l). Factor a(s).
-(s - 1)*(s + 1)**2*(2*s + 1)
Factor 18 - 35 - 4*p + 17 + 4*p**2 + 5*p**3 - 6*p**3.
-p*(p - 2)**2
Suppose -a + 4*n - 2 = 0, -4*n - 3 = -7. Factor 17*k**4 + 214*k**2 - 230*k**a - 5*k**4 + 4*k**5.
4*k**2*(k - 1)*(k + 2)**2
Let n(u) be the third derivative of 6*u**2 + 1/210*u**6 + 0*u + 0 + 1/84*u**5 + 1/84*u**4 + 0*u**3 + 1/1470*u**7. Determine d so that n(d) = 0.
-2, -1, 0
Let w(x) be the second derivative of -x**7/6300 + x**6/900 - x**5/300 - 4*x**4/3 - 11*x. Let v(f) be the third derivative of w(f). Find n such that v(n) = 0.
1
Let i(v) be the first derivative of -v**5/30 - v**4/6 - 2*v**3/9 - 77. Factor i(r).
-r**2*(r + 2)**2/6
Let x(a) be the second derivative of -a**4/24 - a**3/3 + 3*a**2 + 44*a. Factor x(w).
-(w - 2)*(w + 6)/2
Let v(q) = -q**2 + 4*q - 5*q + 0*q. Let n(b) = 40*b**2 + 36*b + 8. Suppose 9 = -3*s + 6. Let t(x) = s*n(x) + 8*v(x). Solve t(m) = 0 for m.
-2/3, -1/4
Let f(i) be the first derivative of i**7/210 - i**5/30 + i**3/6 + 3*i**2/2 + 13. Let m(c) be the second derivative of f(c). Factor m(u).
(u - 1)**2*(u + 1)**2
Suppose -12 = 7*y - 10*y. Factor -a**2 - 2*a - a**4 - 2*a**y + 2*a**3 + 3*a**2 + a**4.
-2*a*(a - 1)**2*(a + 1)
Let v = 36 + -33. Determine t so that -v*t**3 + 0*t**3 + 17*t - 14*t - 3 + 3*t**2 = 0.
-1, 1
Let v(j) = j**3 + j. Let k(o) = o**3 + 3*o**2 + 12*o + 5. Let x(h) = -h**2 - 6*h - 3. Let d(m) = 3*k(m) + 5*x(m). Let w(n) = 5*d(n) - 10*v(n). Factor w(i).
5*i*(i + 2)**2
Let c(m) be the third derivative of m**8/560 + 3*m**7/350 - 11*m**6/200 - 3*m**5/100 + m**4/4 - 2*m**2 + 3. Suppose c(g) = 0. What is g?
-5, -1, 0, 1, 2
Let z(k) = -k**3 - 4*k**2 + 13*k + 9. Let w be z(-6). Suppose -4*x + 4 = -w*x. Factor -2*n**5 + 0*n + 4/3*n**x + 0 + 2/3*n**3 + 0*n**2.
-2*n**3*(n - 1)*(3*n + 1)/3
Let u(b) be the second derivative of 0 + 41*b + 1/3*b**3 + 1/12*b**4 + 1/2*b**2. Factor u(a).
(a + 1)**2
Let l(j) be the first derivative of -j**7/70 + j**6/10 - 3*j**5/20 - j**4/2 + 2*j**3 - 7*j**2 - 4. Let i(n) be the second derivative of l(n). Factor i(u).
-3*(u - 2)**2*(u - 1)*(u + 1)
Let i(w) be the first derivative of -w**8/84 - 8*w**7/105 - w**6/5 - 4*w**5/15 - w**4/6 + 9*w**2/2 - 1. Let h(t) be the second derivative of i(t). Factor h(k).
-4*k*(k + 1)**4
Let j(b) be the first derivative of 1/5*b**5 + 3*b + 4*b**3 + 5 + 5*b**2 + 3/2*b**4. Factor j(m).
(m + 1)**3*(m + 3)
Let w = 20534 - 61582/3. Find u such that w*u**2 + 0*u + 0 - 2/3*u**3 = 0.
0, 10
Let i = 11 + -9. Suppose 2*y = -2*v + 16, -i*y - 3*y + 10 = -v. Suppose 3*a + a**2 - y*a + 5*a - 3*a - a**3 = 0. What is a?
-1, 0, 2
Factor 54 + 10*f**2 - 42*f - 2/3*f**3.
-2*(f - 9)*(f - 3)**2/3
Let l(q) = 10*q**2 - 20*q + 22. Let h(b) = 5*b**2 - 10*b + 12. Let u(r) = 11*h(r) - 6*l(r). Factor u(v).
-5*v*(v - 2)
Let s = -7 - -12. Suppose 0*h = -s*q - h + 19, h + 5 = 3*q. Determine w, given that 18*w**2 - 19*w**2 + w - 1 + q = 0.
-1, 2
Solve -18*g**3 - 1/2*g**4 - 143*g**2 - 361/2 + 342*g = 0 for g.
-19, 1
Let l be (-1 + -2)/(27/(-126)). Let d = l - 11. Determine g so that 14*g + 1 + g + 5 - 9*g**2 - 15*g**d + 3*g**2 = 0.
-1, -2/5, 1
Let b be (((-8)/(-14))/2)/(10/21). Let k(p) be the first derivative of 1/5*p**3 + 3/5*p - b*p**2 + 9. Factor k(d).
3*(d - 1)**2/5
Let z(i) be the second derivative of -2*i**7/735 + 8*i**5/105 - 32*i**3/21 - i**2 - 17*i. Let y(h) be the first derivative of z(h). Factor y(q).
-4*(q - 2)**2*(q + 2)**2/7
Let g(w) be the third derivative of 17*w**5/150 - 49*w**4/60 - 2*w**3/5 - 108*w**2. Find i, given that g(i) = 0.
-2/17, 3
Let w(q) be the first derivative of 11/36*q**4 + 13*q + 13/18*q**3 + 1/3*q**2 - 9. Let a(n) be the first derivative of w(n). Factor a(j).
(j + 1)*(11*j + 2)/3
Factor -6630*j**3 + 6628*j**3 - 468*j - 582*j + 1764 + 88*j**2.
-2*(j - 21)**2*(j - 2)
Let o(v) = -5*v - 18. Let a(z) = 6*z + 19. Let w(u) = 3*a(u) + 4*o(u). Let b be w(-10). What is n in 3*n**4 + n**b - 3*n**5 - n**5 = 0?
0, 1
Let z(j) be the first derivative of -j**6/21 + 6*j**5/7 - 39*j**4/14 + 74*j**3/21 - 12*j**2/7 + 9. Factor z(v).
-2*v*(v - 12)*(v - 1)**3/7
Let z(c) be the second derivative of 1/40*c**6 + 0 + 3/2*c**4 + 99/80*c**5 + 0*c**2 - 3/14*c**7 + 1/2*c**3 - 3*c. Determine s, given that z(s) = 0.
-1, -2/3, -1/4, 0, 2
Let l(r) = -30*r**2 - 69*r + 120. Let d be (-3549)/(-168) - (-2)/(-16). Let t(x) = 3*x**2 + 7*x - 12. Let m(j) = d*t(j) + 2*l(j). Suppose m(u) = 0. What is u?
-4, 1
Suppose -3*w = 3*g, 2*g + 2 = -w - 0*w. Let l(o) be the third derivative of 0*o**3 + 1/40*o**6 + 0*o - w*o**2 - 1/8*o**4 + 0*o**5 + 0. Solve l(c) = 0.
-1, 0, 1
Factor 4*p**2 - 124*p + 60*p + 56*p.
4*p*(p - 2)
Suppose 15*o + 100 = 37*o + 28*o. Determine m so that -2*m**3 + o*m**4 + 1/2*m**2 + 0 + 0*m = 0.
0, 1/2
Suppose -y = 3*v - 8, -3*y = -6*y - 4*v + 14. Solve 2/3*j + 7/3*j**3 + 0 - 3*j**y = 0.
0, 2/7, 1
Let u(g) = 6*g**2 + 37*g + 8. Let x be u(-6). Let 7/5*p**3 + 0*p + 0 - p**4 - 2/5*p**x = 0. Calculate p.
0, 2/5, 1
Let y = 119430/7 - 17058. Suppose 3/7*r**3 + y*r + 12/7 + 15/7*r**2 = 0. Calculate r.
-2, -1
Let f = -2/3151 - -3271/189060. Let g(t) be the second derivative of -2*t - 1/30*t**3 + 0*t**2 + 0 + f*t**4. Let g(w) = 0. Calculate w.
0, 1
Let y(t) = -28*t**2 - 86*t. Let u(m) = -11*m**2 - 43*m. Let k(l) = -15*u(l) + 6*y(l). What is i in k(i) = 0?
0, 43
Factor -426/7*o - 60 - 6/7*o**2.
-6*(o + 1)*(o + 70)/7
Let m(w) be the third derivative of -w**8/504 + w**6/90 - w**4/36 - 38*w**2. Determine g so that m(g) = 0.
-1, 0, 1
Let z be 10/(-9)*(675/(-54) - -12). Factor -1/9*r**2 - 4/9*r + z.
-(r - 1)*(r + 5)/9
Let d(k) = -8*k**4 + 125*k**3 - 389*k**2 - 512*k + 5. Let w(x) = 20*x**4 - 312*x**3 + 972*x**2 + 1280*x - 12. Let f(l) = -12*d(l) - 5*w(l). Factor f(m).
-4*m*(m - 8)**2*(m + 1)
Suppose -28 = -12*v - 4. Let l(q) be the first derivative of 4/3*q**3 + 4*q - 1 - 4*q**v. What is c in l(c) = 0?
1
Let r = 1/22503 - -67505/90012. Factor r*t**3 - 15/4*t + 3/2*t**2 - 9/2.
3*(t - 2)*(t + 1)*(t + 3)/4
Let o(p) be the third derivative of -p**6/30 + 24*p**5/5 + 49*p**4/2 + 148*p**3/3 - 22*p**2 + 3. Find j such that o(j) = 0.
-1, 74
Let s(h) be the first derivative of -h**6/45 - 4*h**5/75 + 2*h**4/3 - 16*h**3/15 + 568. Factor s(b).
-2*b**2*(b - 2)**2*(b + 6)/15
Find z, given that 2*z - 5*z**2 + 134 + 36*z + 58 - 3*z**3 - 7*z**2 + 10*z = 0.
-4, 4
Let c(h) = 6*h - 4. Let l be c(3). Let 7*s**2 - 10 + 8*s**3 + 9*s**2 + 8*s**5 - 8*s**4 - 12*s**4 + l - 16*s = 0. What is s?
-1, 1/2, 1
Let y be 9*-2*26/(-78). Factor 9*q**2 - 16*q**2 + y*q**2.
-q**2
Suppose 2*k + 2*k - 980 = 0. Let u be (k/(-15))/7 - -3. Let -1/3 - 1/3*w**2 + u*w = 0. What is w?
1
Factor -50*g + 573*g**2 - 98*g**3 - 306*g**2 + 20 + 377*g**2 + 28 - 294*g.
-2*(g - 6)