 5*c(z). Factor h(d).
(d - 1)**3*(d + 3)
Suppose q = -2*r + 18, 0 = -7*q + 3*q - 4*r + 60. Factor -q*l + 67 + 41 + 3*l**2 - 18*l - 33.
3*(l - 5)**2
Let v(m) be the first derivative of 2*m**6 + 12*m**5/5 - 21*m**4/4 + 2*m**3 - 50. Find j, given that v(j) = 0.
-2, 0, 1/2
Let h(r) = -34*r**2 - 49*r + 79. Let v(b) = -6*b**2 - 10*b + 16. Let s(c) = -2*h(c) + 11*v(c). Solve s(f) = 0 for f.
3
Let p(r) be the third derivative of r**7/945 + 17*r**6/540 + 67*r**5/270 + 29*r**4/36 + 4*r**3/3 - 64*r**2 - 4. Solve p(b) = 0.
-12, -3, -1
Let g(y) be the third derivative of -y**5/20 + y**4 + 26*y**2 + 2*y. Determine s so that g(s) = 0.
0, 8
Suppose 0*s - 42 = -3*s. Solve 3 + 4*v + 12 - 5*v**2 - s*v = 0.
-3, 1
Let t(z) be the third derivative of -z**6/900 + 14*z**5/225 - 53*z**4/180 + 26*z**3/45 - 144*z**2 - 2. Factor t(l).
-2*(l - 26)*(l - 1)**2/15
Let n be (-18)/(-4)*(-23 + 27). Let k(i) = i - 16. Let d be k(n). Let 0 + 3/7*v**d + 6/7*v - 39/7*v**4 - 27/7*v**3 - 15/7*v**5 = 0. Calculate v.
-1, 0, 2/5
Let n(q) be the third derivative of q**8/80640 + q**7/6720 + q**6/1440 + q**5/12 - 3*q**2. Let m(w) be the third derivative of n(w). Factor m(f).
(f + 1)*(f + 2)/4
Suppose 18*t - 17 = -17. Let p(w) be the third derivative of 1/8*w**3 - 1/240*w**5 + w**2 - 1/48*w**4 + 0 + t*w. Let p(z) = 0. What is z?
-3, 1
Let t = 320 - 318. Suppose -2*g - 3*x = 6, -2*x - t = 13*g - 11*g. Factor -1/2*j**2 - 1/6*j - 1/6*j**4 - 1/2*j**g + 0.
-j*(j + 1)**3/6
Let f(y) be the second derivative of -2*y**6/15 + y**5 - 7*y**4/3 + 2*y**3 - 113*y. Factor f(s).
-4*s*(s - 3)*(s - 1)**2
Let o(a) = 4*a**4 - 7*a**3 - 8*a**2. Let f(c) = 20*c**4 - 36*c**3 - 40*c**2. Suppose -4*h + 80 = h. Let z(v) = h*o(v) - 3*f(v). Factor z(k).
4*k**2*(k - 2)*(k + 1)
Let h(y) be the first derivative of y**4/16 + y**3/4 - 3*y**2 + 7*y - 108. Solve h(w) = 0 for w.
-7, 2
Let k(r) be the first derivative of -r**6/36 - r**5/6 + 13*r**4/24 - 7*r**3/18 + 189. Solve k(h) = 0.
-7, 0, 1
Let v be (56/12 + -4)*12. Suppose v*u - 2 = 7*u. Factor 0 + 2 + 6*d**5 + 14*d + 36*d**u - 42*d**3 + 86*d**3 + 26*d**4.
2*(d + 1)**4*(3*d + 1)
Factor -176 - 60*g - 8 + 4*g**2 - 28 - 4.
4*(g - 18)*(g + 3)
Let u(w) = -9*w**2 + 588*w + 17409. Let k(p) = -160*p**2 + 9995*p + 295955. Let l(h) = -2*k(h) + 35*u(h). Determine s, given that l(s) = 0.
-59
Suppose 54*s - 33 = 43*s. Let p(g) be the second derivative of 2/7*g**2 + 0 - 3*g - 1/42*g**4 + 1/21*g**s. Factor p(c).
-2*(c - 2)*(c + 1)/7
Let h = -2/3563 + 3569/10689. Factor -2/3 - 1/3*b + h*b**2.
(b - 2)*(b + 1)/3
Let k = -12095/3 - -4033. Factor 0*c**2 - 1/3*c**3 + k*c + 0.
-c*(c - 2)*(c + 2)/3
Let p(l) be the first derivative of -l**6/480 + l**4/32 + l**3/12 - 3*l**2/2 + 4. Let r(u) be the second derivative of p(u). Find j, given that r(j) = 0.
-1, 2
Let j = 10 - 6. Suppose 0 = b - 83 + 81. Suppose -j*p - 2*p + 2 + 6*p - 2*p**b = 0. What is p?
-1, 1
Suppose 0 = -2*g + 31 + 19. Suppose g*q - 18*q = 35. Let -12/7*l**q + 0 - 12/7*l**3 - 8/7*l**2 + 32/7*l**4 + 0*l = 0. Calculate l.
-1/3, 0, 1, 2
Factor 29 - 4*s + 9*s**3 + 7 - 2*s**4 - 36 - 3*s**2.
-s*(s - 4)*(s - 1)*(2*s + 1)
Let j(k) = 3*k**3 - 15*k**2 + 53*k - 5. Let o(q) = q**3 - 8*q**2 + 26*q - 2. Let m(i) = 2*j(i) - 5*o(i). Factor m(b).
b*(b - 2)*(b + 12)
Let k(y) = -y - 3. Let l be k(-3). Let z(h) be the third derivative of -1/10*h**5 + 0*h + l*h**3 + 0 + 3*h**2 + 1/6*h**4. Determine a, given that z(a) = 0.
0, 2/3
Let u be 3/(-12)*10*(-46)/805. Factor -6/7*q + 0 - u*q**2.
-q*(q + 6)/7
Suppose -146*t + 144*t = -8. Find s such that -3/4*s**t + 9/4*s - 3/4*s**2 + 3/2 - 9/4*s**3 = 0.
-2, -1, 1
What is u in -63/2*u**3 + 6*u + 0 + 60*u**2 = 0?
-2/21, 0, 2
Let v(f) be the second derivative of 6*f**6/5 + 42*f**5 + 457*f**4/3 + 680*f**3/3 + 168*f**2 - 140*f. Determine q so that v(q) = 0.
-21, -1, -2/3
Let n = -207 + 199. Let c(v) = -5*v**2 + 11*v**3 + 2*v**2 - 8*v + v**2. Let l(f) = -4*f**3 + f**2 + 3*f. Let j(s) = n*l(s) - 3*c(s). Factor j(a).
-a**2*(a + 2)
Suppose 3*g = 5*g + 50. Let u be (g/(-15))/(6/441). Solve 10*c - 4 + 63*c**2 - u*c**3 - 343/2*c**4 = 0 for c.
-1, -2/7, 2/7
Let b = 4 + -2. Let p = -803/26 + 408/13. Factor -4/3*r + 1/6*r**4 + 0*r**3 - p - r**b.
(r - 3)*(r + 1)**3/6
Let j be 3 - 19/(-7)*-1. Let w = 73/8 + -479/56. What is l in -j*l**4 - w*l**3 - 2/7*l**2 + 0*l + 0 = 0?
-1, 0
Let m(o) be the third derivative of 0*o**4 + 0*o**3 + o**2 + 1/50*o**7 + 9/200*o**6 + 1/50*o**5 + 0*o + 0. Factor m(a).
3*a**2*(a + 1)*(7*a + 2)/5
Let c = -25 - -13. Let u = 23 + c. Factor -3*s + 4*s**2 - s + 0*s + 3 - u.
4*(s - 2)*(s + 1)
Let w(b) be the third derivative of b**7/105 - 13*b**6/60 + 8*b**5/5 - 17*b**4/3 + 32*b**3/3 - 18*b**2. Suppose w(y) = 0. What is y?
1, 2, 8
Let l be 9 - (27 + -28)*-7. Find w such that -16/7 + 2/7*w**3 - 12/7*w**l + 24/7*w = 0.
2
Let l(a) be the third derivative of a**10/50400 + a**9/10080 - a**7/840 - a**6/240 - 7*a**5/60 - 18*a**2. Let u(m) be the third derivative of l(m). Factor u(p).
3*(p - 1)*(p + 1)**3
Factor 80 + 7*m + 3*m - 2*m**2 + 16*m + 4*m**2.
2*(m + 5)*(m + 8)
Let t be ((-4)/(-6))/((-3465)/(-162) + -21). Determine z so that -12/7 + 12/7*z**3 - t*z + 3/7*z**4 + 9/7*z**2 = 0.
-2, -1, 1
Factor -120*h**2 + 163*h - 628 + 225*h**3 - 450*h**2 + 439*h + 520 - 161*h.
3*(3*h - 4)*(5*h - 3)**2
Let r(k) = -4*k**2 - 952*k - 19208. Let w(d) = 3*d**2 + 635*d + 12805. Let z(o) = 5*r(o) + 8*w(o). Factor z(x).
4*(x + 40)**2
Let j(w) be the second derivative of -5/3*w**4 - 7 + w - 1/4*w**5 + 0*w**2 + 0*w**3. What is g in j(g) = 0?
-4, 0
Find h such that 3/2*h**3 + 0 + 4*h + 1/6*h**4 - 17/3*h**2 = 0.
-12, 0, 1, 2
Let x be (4 + 30/(-4))*-4. Factor 10*w - 4*w**2 - 56 + 20 + x*w.
-4*(w - 3)**2
Let d be 32/10*18/(-48)*-20. Let o be ((-18)/8 - -2) + 38/d. Suppose 2 + 2/9*j**2 - o*j = 0. What is j?
3
Suppose v - 5*v = 0. Suppose -9*f + 18 = -v*f. Factor 1/2*z**f + 3/2*z + 1.
(z + 1)*(z + 2)/2
Let a(n) be the third derivative of -n**6/120 + n**5/15 + 2*n**4/3 - 32*n**3/3 + 9*n**2 - 3. Factor a(x).
-(x - 4)**2*(x + 4)
Let l(u) be the third derivative of -u**5/180 + 5*u**4/9 - 200*u**3/9 - 82*u**2 + 2. What is x in l(x) = 0?
20
Let n = 2/2205 - -61/2205. Let a(y) be the second derivative of -n*y**5 + 0*y**4 + 6*y + 2/7*y**3 + 4/7*y**2 + 0. Factor a(b).
-4*(b - 2)*(b + 1)**2/7
Let p = 20164 - 60491/3. Factor -2/3*d**2 - 4/3 - p*d**3 + 7/3*d.
-(d - 1)**2*(d + 4)/3
Suppose -40*d**3 - 6 - 128*d - 46*d**3 + 110*d**3 - 4*d**4 + 6 = 0. What is d?
-2, 0, 4
Let i(y) = -11*y**4 - y**3 + 17*y**2 + 13*y + 3. Let p(u) = -52*u**4 - 4*u**3 + 86*u**2 + 66*u + 14. Let z(c) = 14*i(c) - 3*p(c). Factor z(f).
2*f*(f - 4)*(f + 1)*(f + 2)
Let y(q) = -13*q**2 + 192*q - 1157. Let l(p) = -32*p**2 + 480*p - 2892. Let s(v) = 5*l(v) - 12*y(v). Factor s(z).
-4*(z - 12)**2
What is r in 10*r**2 - 1 + 5*r**5 - 21*r**4 + 34*r**3 - 36*r**2 + 8*r + r = 0?
1/5, 1
Let r(b) be the first derivative of 0*b**2 + 0*b**3 + 0*b + 1/2*b**6 + 6/5*b**5 + 9 + 3/4*b**4. Factor r(i).
3*i**3*(i + 1)**2
Let c(i) = -8*i**4 - 1229*i**3 - 102096*i**2 - 2857703*i - 2756840. Let l(w) = w**4 - 2*w**3 + 2*w**2 + w. Let d(v) = -c(v) - 3*l(v). Find m such that d(m) = 0.
-82, -1
Suppose y = -0 - 2. Let h(v) = 3*v**2 + 4*v + 2. Let k be h(y). Factor -2*g + 10 - 4*g**2 - 1 - 1 + k*g.
-4*(g - 2)*(g + 1)
Let t = -8/7 + 2. Suppose 0 = -4*n - 2*y - 6 + 14, 0 = -n - 3*y + 2. Let 0 + n*u**3 + t*u**5 + 0*u - 4/7*u**2 - 16/7*u**4 = 0. Calculate u.
0, 2/3, 1
Let j = 13 + -10. Let b be (-2)/(-3) + 12/9. Determine z, given that 3*z**j - 2 - 6*z**b + 2 = 0.
0, 2
Let u(y) = 3*y**2 - 9*y + 2. Let m(z) = 6*z**2 - 19*z + 4. Let x be (15/(-10))/((-3)/(-18)). Let l(p) = x*u(p) + 4*m(p). Factor l(f).
-(f - 1)*(3*f - 2)
Let s(m) = -m**2 - 3*m - 4. Let x be s(-4). Let f be x/(-6)*15/20*12. Let f*l**2 + 88/3*l + 98/3*l**4 - 238/3*l**3 + 16/3 = 0. Calculate l.
-2/7, 1, 2
Suppose 2/3*p**5 - 8/3*p + 22/9*p**4 - 14/9*p**2 - 8/9 + 2*p**3 = 0. What is p?
-2, -1, -2/3, 1
Let c = -88 - -104. Let b be (4/c)/(2/24). Factor 2/3*h - 4/9 + 0*h**2 - 2/9*h**b.
-2*(h - 1)**2*(h + 2)/9
Factor 2/15*o**2 + 2/15*o + 0.
2*o*(o + 1)/15
Let r(c) = c + 5. Let h be r(-3). Factor 144*o**h + 138*o**2 - 287*o**2 - 30 - 35*o.
-5*(o + 1)*(o + 6)
Let f be (1 - 2)*6/(-21). Suppose -15 + 25 = 5*u. Let -f*b**u + 0 + 0*b = 0. What is b?
0
Let v be (33