ive of 1/42*a**6 + c*a**2 - 1/7*a**5 - 1/3*a**3 + 9/28*a**4 + 0*a + 12. Factor d(q).
q*(q - 2)*(q - 1)**3/7
Determine k, given that -146 + 850 - 9*k**2 - 1601*k - 2511*k - 27*k**2 + 7272*k = 0.
-2/9, 88
Let a(d) be the third derivative of -d**8/168 - 4*d**7/3 - 1421*d**6/12 - 5145*d**5 - 108045*d**4 - 1210104*d**3 + 5149*d**2. Factor a(v).
-2*(v + 7)**2*(v + 42)**3
Let w(m) be the first derivative of 5*m**6/6 + 11*m**5 + 41*m**4/3 + 16*m**3/3 + 109*m + 60. Let q(g) be the first derivative of w(g). Let q(o) = 0. What is o?
-8, -2/5, 0
Find c such that 276*c**2 + 1701/4*c**5 - 24 - 135/2*c**4 - 1734*c**3 + 132*c = 0.
-2, -2/7, 2/9, 2
Let w = -2178/13 + 7905/26. Let g = 137 - w. Factor -1/4*s**3 + 0*s**2 + 3/4*s - g.
-(s - 1)**2*(s + 2)/4
Let h(s) be the third derivative of -s**6/300 + 2*s**5/75 + s**4/12 - 34*s**2. Factor h(u).
-2*u*(u - 5)*(u + 1)/5
Let z = -4159636/7 - -594236. Let g = 912/7 - 130. Factor 30/7*k**2 + g + z*k.
2*(3*k + 1)*(5*k + 1)/7
Let x(k) be the first derivative of -k**6/15 + k**5/2 + 7*k**4/6 - 5*k**3/3 - 6*k**2 + 62*k - 80. Let y(p) be the first derivative of x(p). Factor y(z).
-2*(z - 6)*(z - 1)*(z + 1)**2
Let j = 5105 + -5100. Let d(k) be the second derivative of 2*k + 2/21*k**7 - 10*k**2 - 2*k**j + 6*k**3 + 2/3*k**4 + 0 + 2/5*k**6. Suppose d(m) = 0. Calculate m.
-5, -1, 1
Let t be (1/(4/10))/(3/6). Suppose -2*n + t*x = -43, 5*n + x - 31 = n. Solve -r**5 + 24*r**2 + 7*r**3 + 8*r**3 + 3*r**3 - 2*r**5 + n*r = 0.
-1, 0, 3
Let s(z) = 16*z**3 - 216*z**2 + 280*z - 8. Let o(q) = -33*q**3 + 435*q**2 - 560*q + 14. Let b(n) = 4*o(n) + 7*s(n). Factor b(w).
-4*w*(w - 10)*(5*w - 7)
Let p(u) be the first derivative of u**5/20 - 21*u**4/8 + 10*u**3/3 + 21*u**2/4 - 41*u/4 - 3341. Factor p(s).
(s - 41)*(s - 1)**2*(s + 1)/4
Suppose 4*g - 5*y - 2029 - 1225 = 0, 3*y - 1638 = -2*g. Let n be 8/(-68) + 1932/g. Factor -n - 1/4*s**2 - 3/2*s.
-(s + 3)**2/4
Let o be 26/(936/(-162))*(-24)/270. Factor 16/5*d + 14/5 + o*d**2.
2*(d + 1)*(d + 7)/5
Let f(a) be the first derivative of -a**4/9 + 1429*a**3/27 + 2515*a**2/18 - 718*a/9 - 8254. Factor f(h).
-(h - 359)*(h + 2)*(4*h - 1)/9
Let s be (6/54)/((-2)/(-90)) - 5. Find o, given that -12/7*o + 1/7*o**3 - 1/7*o**2 + s = 0.
-3, 0, 4
Suppose 27*k - 29*k = -70. Suppose 0 = 63*u - 56*u - k. Determine j so that 0 + 0*j - 4/5*j**2 + 4*j**u + 28/5*j**3 - 53/5*j**4 = 0.
0, 1/4, 2/5, 2
Let q(r) be the second derivative of 0*r**2 - 27*r - 1/10*r**5 + 4/3*r**3 + 0*r**4 + 0. Solve q(i) = 0 for i.
-2, 0, 2
Factor -6/7*v**3 - 4/7*v + 0 + 2/7*v**5 - 2/7*v**4 + 10/7*v**2.
2*v*(v - 1)**3*(v + 2)/7
Let k be (-13224)/(-2204)*(-1)/(-15). Factor 4/5*f + k*f**2 - 16/5.
2*(f - 2)*(f + 4)/5
Factor 13*v**4 - 621*v**2 + 12*v**4 - 1940*v + 3077*v**3 - 57*v**3 - 484.
(v - 1)*(v + 121)*(5*v + 2)**2
Solve -3/5*l**4 + 6/5*l**3 - 9/5 + 12/5*l**2 - 6/5*l = 0 for l.
-1, 1, 3
Let f(s) be the second derivative of 8/15*s**3 - 3/25*s**6 + 0*s**2 + 0 + 3/10*s**4 - 4/25*s**5 - 112*s. Find o, given that f(o) = 0.
-1, -8/9, 0, 1
Let l = -19774 + 19786. Let a(c) be the first derivative of 37 - 13*c**3 - 18*c**2 - 3/5*c**5 - l*c - 9/2*c**4. Determine g, given that a(g) = 0.
-2, -1
Let y(f) be the first derivative of f**3/6 + 71*f**2/4 - 1330. Factor y(n).
n*(n + 71)/2
Let j(d) = 3*d**3 + 6180*d**2 + 1195056*d + 596029. Let h(f) = -4*f**3 - 9270*f**2 - 1792584*f - 894048. Let a(z) = -5*h(z) - 8*j(z). Factor a(g).
-2*(g + 386)**2*(2*g + 1)
Suppose -630*i - 63/4*i**4 - 477/4*i**3 - 3/4*i**5 - 1641/4*i**2 - 324 = 0. Calculate i.
-9, -4, -3, -1
Let c(r) be the third derivative of 1/105*r**7 + 0 - 23/30*r**5 - r**4 + 14*r**2 - 1/6*r**6 - 5*r + 0*r**3. Factor c(w).
2*w*(w - 12)*(w + 1)**2
Suppose 28 = 5*o - t, 2*o + t + t - 4 = 0. Find d such that 105*d**2 - 9*d**4 - 48*d**2 - 15*d**3 + 12*d + 3*d**o - 48*d**2 = 0.
-1, 0, 1, 4
Let x(t) = -8*t**2 - 2*t. Let n(d) = -44*d**2 - 84*d + 224. Let j(q) = -n(q) + 6*x(q). Factor j(c).
-4*(c - 14)*(c - 4)
Let l be (50/(-1375) - (-18)/495)/(1 - 8). Factor 2/7*o**3 + 5/7*o**4 + 1/7*o**5 - 8/7*o**2 + l*o + 0.
o**2*(o - 1)*(o + 2)*(o + 4)/7
Let h(j) = 68*j**3 - 176*j**2 + 128*j - 24. Let l(g) = -14*g**3 + 36*g**2 - 26*g + 5. Let y(t) = -5*h(t) - 24*l(t). Suppose y(w) = 0. Calculate w.
0, 2
Let h(d) = -d**2 - 6*d + 4. Suppose -43 = -4*o - 19. Let v(b) = -9*b**2 - 46*b + 34. Let r(u) = o*v(u) - 51*h(u). Factor r(l).
-3*l*(l - 10)
Let z(r) be the third derivative of -r**7/280 + 87*r**6/160 + 769*r**5/80 - 855*r**4/32 - 516*r**2. Determine i, given that z(i) = 0.
-9, 0, 1, 95
Suppose -5*h + 3 = 4*r, h + 5*r = 221 - 233. Let a(c) be the third derivative of 0 + 0*c + 1/4*c**5 - 19*c**2 + c**4 + 1/40*c**6 + 2*c**h. Solve a(k) = 0.
-2, -1
Let j(g) be the second derivative of 1/30*g**4 + 1681/5*g**2 - 130*g + 0 + 82/15*g**3. Suppose j(w) = 0. Calculate w.
-41
Factor 3888 + 909*z**2 + 198*z**2 + 100*z**3 + 1104*z + 2028*z - 231*z**2 + 4*z**4.
4*(z + 3)*(z + 4)*(z + 9)**2
Suppose 64/3 - 104/9*g + 2/9*g**5 + 2*g**3 - 128/9*g**2 + 20/9*g**4 = 0. Calculate g.
-8, -3, -2, 1, 2
Factor -26*h**2 + 1/3*h**3 - 80/3 - 53*h.
(h - 80)*(h + 1)**2/3
Let b(a) be the first derivative of a**6/57 + 6*a**5/19 + a**4/38 - 138*a**3/19 - 362*a**2/19 - 336*a/19 + 6652. Suppose b(o) = 0. What is o?
-14, -3, -1, 4
Let l(m) be the second derivative of m**4 + 0 + 0*m**5 + 0*m**2 + 79*m + 0*m**3 + 1/14*m**7 - 3/10*m**6. Factor l(u).
3*u**2*(u - 2)**2*(u + 1)
Factor 41529200 + 265080*t + 564*t**2 + 2/5*t**3.
2*(t + 470)**3/5
Let 30*x + 28/5 - 22/5*x**2 = 0. What is x?
-2/11, 7
Let r(k) be the first derivative of -k**5 - 135*k**4/2 + 5*k**3 + 400*k**2 - 540*k - 1741. Determine d, given that r(d) = 0.
-54, -2, 1
Let k(v) be the second derivative of -7*v**6/90 - 71*v**5/30 - 733*v**4/36 - 11*v**3 + 12204*v. What is b in k(b) = 0?
-11, -9, -2/7, 0
Let u = -142 - -69. Let l = u - -75. Factor 0*f**3 + 3*f**3 + 4*f**4 - 12*f - 7*f + 21*f - 9*f**l.
f*(f - 1)*(f + 2)*(4*f - 1)
Let f(a) = 5*a**4 - 3*a**3 - 22*a**2 - 33*a - 19. Let r(d) = -d**3 - 16*d - 90*d**4 - 1 + 17*d + 91*d**4. Let p(o) = f(o) - 3*r(o). Factor p(x).
2*(x - 4)*(x + 1)**2*(x + 2)
Let p = 49 + -40. Let d(a) = 2*a - 16. Let u be d(p). Factor 3*j**u - j**2 + 10*j - 6*j.
2*j*(j + 2)
Determine o, given that -62*o - 1/3*o**2 - 368/3 = 0.
-184, -2
Let g be 11/(55/(-40))*-8. Suppose 8*u = g + 128. Let -16*v + 48*v**2 - 9*v**3 + u*v**4 - 10*v**3 - 4*v**5 - 46*v**3 + 13*v**3 = 0. What is v?
0, 1, 2
Let t(k) = k**2 - 23*k - 104. Let x be t(27). What is w in -2*w**4 - 324 + 18*w**3 + 312*w**2 + 5*w**3 - 118*w**2 + 15*w**3 + 90*w + x*w**4 = 0?
-9, -2, 1
Let y = -1028/3 - -20581/60. Let c(h) be the first derivative of -1/24*h**6 + 8 + 2*h**2 + 4*h - 2/3*h**3 - y*h**5 - h**4. What is a in c(a) = 0?
-2, 1
Let k(s) be the first derivative of 5/4*s**4 + 105*s - 151 + 115/3*s**3 + 215/2*s**2. Solve k(u) = 0 for u.
-21, -1
Factor 550*p + 45*p - 25*p**2 - 211*p - 144*p.
-5*p*(5*p - 48)
Let d(j) be the third derivative of -1/80*j**6 + 1/2100*j**7 + 0*j**3 + j**2 + 0 + 2*j + 0*j**4 + 7/300*j**5. Suppose d(h) = 0. Calculate h.
0, 1, 14
Suppose 8*h - 348 + 220 = 0. Suppose 0 = -3*s + b + b + h, 5*s - 30 = 4*b. Factor -g - 1/4*g**s - 3/4.
-(g + 1)*(g + 3)/4
Let h be (18/42)/((-738)/(-2184) + 12/(-52)). Factor 0 - 2/5*b - 2/15*b**h - 2/15*b**3 + 2/3*b**2.
-2*b*(b - 1)**2*(b + 3)/15
Suppose 0 = 4*s + 5*m + 77, 3*s - 5*m - 337 = -246. Factor 0 + 0*z + 0*z**s - 9/2*z**3 - 6*z**4 - 3/2*z**5.
-3*z**3*(z + 1)*(z + 3)/2
Suppose -23*a + 20*a + 45 = 0. Let h be (-5)/(2 + a/(-5)). Factor 31 + 0*l**2 + h*l**2 + 60*l + 149.
5*(l + 6)**2
Let v(h) be the third derivative of 0*h + 1/30*h**5 + 1/3*h**4 + 0 - 70*h**2 + 0*h**3. Determine t so that v(t) = 0.
-4, 0
Let p be 2*10*((-1186)/(-180272))/(2/133). Let 72*u + 1/4*u**3 + 81 - p*u**2 = 0. What is u?
-1, 18
Suppose 6*t - 26 = -7*t. Let -8*p**3 - 28*p - 3*p**4 + 37*p**2 - 19*p**3 + 26*p**t - 5*p = 0. What is p?
-11, 0, 1
Find x, given that 0 + 2/11*x**4 - 16/11*x**2 - 2/11*x**3 + 24/11*x = 0.
-3, 0, 2
Let i(c) be the first derivative of -9*c**5/5 + 33*c**4/2 - 5*c**3 - 21*c**2 + 911. Solve i(w) = 0 for w.
-2/3, 0, 1, 7
Let w(b) = b**4 - b**3 + 3*b**2 + 1. Let z(u) = u**4 + 56*u**3 + 318*u**2 + 810*u + 727. Let q(k) = 2*w(k) + z(k). Factor q(m).
3*(m + 3)**3*(m + 9)
Let v = 6249/4 - 15