be a(4). Factor -77*g**5 - 2*g**2 - 2*g**3 + 4*g**4 - 2 + o*g**5 - 5*g + 6*g**3.
(g - 1)*(g + 1)**3*(g + 2)
Let d(n) be the first derivative of 3*n**5/35 - 51*n**4/28 + 82*n**3/7 - 180*n**2/7 + 7950. Factor d(c).
3*c*(c - 10)*(c - 4)*(c - 3)/7
Suppose 4*v + 2*y = -1337 + 1353, 130 = 24*v - 5*y. Solve -4/3*j**v + 4/3*j**4 + 0*j + 4/3*j**3 - 4/3*j**2 + 0 = 0 for j.
-1, 0, 1
Let j be 12215/(-5235)*9/(-2). What is k in 0 + 3/2*k**3 - 27*k - j*k**2 = 0?
-2, 0, 9
What is m in -7*m**4 + 688*m + 31*m**3 + 627*m - 50*m + 16 + 952 + 327*m**2 + 8*m**4 = 0?
-11, -8, -1
Factor -3/2*r**3 + 65421312 - 557568*r + 1584*r**2.
-3*(r - 352)**3/2
Let o(z) = z**4 + 1551*z**3 - 89680*z**2 + 1241031*z + 1332144. Let x(a) = -388*a**3 + 22418*a**2 - 310256*a - 333036. Let w(g) = 2*o(g) + 9*x(g). Factor w(f).
2*(f - 87)**2*(f - 22)*(f + 1)
Let i(r) be the first derivative of -3/5*r**2 - 3/25*r**5 + 1/5*r**3 + 3/10*r**4 + 0*r - 19. Suppose i(c) = 0. What is c?
-1, 0, 1, 2
Factor -71 + 210 + 15*q**3 - 151 + 17*q**2 - 88*q.
(q - 2)*(q + 3)*(15*q + 2)
Let f(d) = 140*d**3 - 892*d**2 - 5412*d - 8164. Let g(a) = -17*a**3 + a**2 - 1. Let t(p) = f(p) + 8*g(p). Factor t(n).
4*(n - 227)*(n + 3)**2
Let l(p) be the first derivative of -10/3*p**2 - 57 - 5/6*p**4 - 35/9*p**3 + 0*p + 1/3*p**5. Factor l(z).
5*z*(z - 4)*(z + 1)**2/3
Let z(v) be the first derivative of -v**5/20 + 3*v**4/4 + 13*v**3/12 + 1750. Factor z(p).
-p**2*(p - 13)*(p + 1)/4
Suppose 0 - 3/4*t**4 - 9/4*t**3 - 21*t + 18*t**2 = 0. What is t?
-7, 0, 2
Suppose 4*f = l + 62 - 18, -76 = -5*f - 4*l. What is w in -f + 16*w**3 - 7*w**3 + 45*w - 24*w**4 - 48*w**2 + 30*w**4 = 0?
-4, 1/2, 1
Let z = -774/125 + 4322/375. Determine o so that -z*o**4 - 28/3 - 170/3*o - 248/3*o**3 - 116*o**2 = 0.
-14, -1/2
Let p = -133 - -135. Factor 8*q**4 - 88*q**p - 36 + 4*q**4 - 4*q**5 + 12*q**3 + 2*q**5 + 84*q + 18*q.
-2*(q - 6)*(q - 1)**3*(q + 3)
Let k = 21617/5 - 4323. Let v(x) be the first derivative of -1/2*x**4 - 9 + x**2 - k*x - 2/5*x**3 + 8/25*x**5. Let v(y) = 0. Calculate y.
-1, 1/4, 1
Let g(u) be the first derivative of u**6/5 + 22*u**5/25 - 16*u**3/3 - 48*u**2/5 - 32*u/5 + 435. Determine m, given that g(m) = 0.
-2, -1, -2/3, 2
Factor 4012347471 - 27765*h**2 - 35721837726 - 51393015*h + 18*h**3 - 18*h**3 - 5*h**3.
-5*(h + 1851)**3
Let m = 128 + -124. Let p(c) be the first derivative of 12/17*c**3 - 20/17*c**2 - 7/34*c**m + 16/17*c + 15 + 2/85*c**5. Find b such that p(b) = 0.
1, 2
Let a be (-72)/(-40)*(56/12 - 3). Let m(v) be the second derivative of 1/60*v**4 + 21*v + 3/5*v**2 + 7/30*v**a + 0. Factor m(n).
(n + 1)*(n + 6)/5
Suppose -292 = -28*q + 296. Let c(s) = 3*s**3 - 57*s**2 + 5*s + 53. Let r(p) = -15*p**3 + 285*p**2 - 27*p - 264. Let x(k) = q*c(k) + 4*r(k). Factor x(z).
3*(z - 19)*(z - 1)*(z + 1)
Let x(q) = -5*q**3 + 41*q**2 - 58*q + 2. Let r(s) = 2*s**3 - 5*s**2 - 1. Let z(b) = 4*r(b) + 2*x(b). Suppose z(d) = 0. Calculate d.
0, 2, 29
Let b(w) be the first derivative of 15/2*w**2 - 3 - 10*w - 5/3*w**3. Factor b(j).
-5*(j - 2)*(j - 1)
Let 37*q**2 + 141*q + 83*q**2 + 5*q**4 - 8033*q**3 + 8083*q**3 + 35 - 31*q = 0. What is q?
-7, -1
Suppose 15*m - 1048 = -52*m - 43. Factor -m + 25/2*c - 5/2*c**2.
-5*(c - 3)*(c - 2)/2
Let v(r) be the third derivative of r**5/420 - 79*r**4/28 + 16*r**2 + 2*r + 9. Find u such that v(u) = 0.
0, 474
Let z(g) be the first derivative of 10/9*g - 35 - 1/18*g**2 + 1/36*g**4 - 10/27*g**3. Let z(i) = 0. Calculate i.
-1, 1, 10
Let x = 1502 - 1498. Let c(g) be the second derivative of -22*g - x*g**4 - 50*g**2 + 0 - 8/25*g**5 - 20*g**3. Find b such that c(b) = 0.
-5/2
Let g = -11369 + 11369. Factor -1/6*z**4 + g - 35/6*z**2 - 49/6*z + 13/6*z**3.
-z*(z - 7)**2*(z + 1)/6
Let s be (-546)/18*45/(-8085) + 9/7. Determine k so that s + 2/11*k**2 - 12/11*k = 0.
2, 4
Let o be (-33*20/3234)/(1 + 30/(-28)). Factor 0 + 0*y**2 + 0*y + 2*y**4 - o*y**3 - 2/7*y**5.
-2*y**3*(y - 5)*(y - 2)/7
Let x(o) be the first derivative of -13*o**3/3 + 35*o**2/2 - 50*o - 178. Let h(b) = 28*b**2 - 70*b + 100. Let a(d) = 4*h(d) + 9*x(d). Factor a(w).
-5*(w - 5)*(w - 2)
Let z(p) be the second derivative of 41*p + 0*p**2 + 0*p**3 + 1/60*p**5 + 0 - 1/18*p**4. Let z(d) = 0. What is d?
0, 2
Suppose -2261*d**2 - 1080*d - 29*d**3 + 129*d**3 + 20*d**3 + 2736*d**2 - 55*d**4 + 180 = 0. What is d?
-3, 2/11, 2, 3
Factor -2*b**4 - 528*b**2 - 17298 - 11475*b - 183*b**3 - 1824*b + 4323*b**2 - 18*b**3 + 5*b**4.
3*(b - 31)**2*(b - 6)*(b + 1)
Let l(t) = -5*t**3 - 5*t**2 - 2*t. Let x be l(-1). Suppose -44 + 34 - 8*n - 4*n**2 + 9*n**x - 3*n**2 = 0. Calculate n.
-1, 5
Let f(j) be the first derivative of -3/10*j**6 - 38/5*j**3 - 63/10*j**2 + 84/25*j**5 + 6*j - 128 + 18/5*j**4. What is i in f(i) = 0?
-1, 1/3, 1, 10
Let z(d) be the first derivative of 15*d**3 - 39*d**2/2 - 6*d + 60. Factor z(s).
3*(s - 1)*(15*s + 2)
Let m be 15*20/(-1100) + 100/44. Let -16*c - 17/4*c**3 + 0 + 1/4*c**4 + 20*c**m = 0. Calculate c.
0, 1, 8
Let f(w) be the second derivative of w**4/36 + 44*w**3/3 + 263*w**2/6 + 698*w. Factor f(x).
(x + 1)*(x + 263)/3
Let -76/13*q + 24/13*q**3 - 2/13*q**4 + 6/13*q**2 + 48/13 = 0. Calculate q.
-2, 1, 12
Suppose 5*h = -7*s + 21 + 104, 6 = -2*h. Let i(u) be the third derivative of -5/12*u**6 + 5/3*u**3 - 55/24*u**4 + 19/12*u**5 + 0 + 0*u + s*u**2. Solve i(b) = 0.
2/5, 1/2, 1
Let q(t) be the first derivative of 4*t**3/3 + 172*t**2 + 1620*t + 191. Factor q(z).
4*(z + 5)*(z + 81)
Let c be 12/(-6)*1/5*2/(-2). Factor -1/5*r**2 + c*r - 1/5*r**3 + 0.
-r*(r - 1)*(r + 2)/5
Let c(a) = 3*a**2 + 21*a + 18. Let y(w) = -40*w**2 - 274*w - 234. Let g(z) = 54*c(z) + 4*y(z). Determine f, given that g(f) = 0.
-18, -1
Let t(i) = 730*i**3 - 6455*i**2 - 12365*i + 5885. Let n(s) = 27*s**3 - 239*s**2 - 458*s + 218. Let g(f) = -55*n(f) + 2*t(f). Factor g(v).
-5*(v - 11)*(v + 2)*(5*v - 2)
Let r(q) = -90*q**3 + 208*q**2 + 642*q + 1024. Let s(t) = -8*t**3 + 19*t**2 + 60*t + 93. Let i(n) = -6*r(n) + 68*s(n). Suppose i(w) = 0. What is w?
-3, -1, 15
Let w(i) be the first derivative of i**6/51 + 2*i**5/85 - 7*i**4/17 - 56*i**3/51 + 8*i**2/17 + 64*i/17 - 223. What is j in w(j) = 0?
-2, 1, 4
Let g(b) be the second derivative of -13/4*b**2 + 1/24*b**4 - 3*b - 24 - b**3. Let g(c) = 0. Calculate c.
-1, 13
Suppose 31*s = 72*s - 28*s - 23*s. Determine p, given that -1/2*p**2 + 1/2*p + s = 0.
0, 1
Let r(s) = -s**3 - 7*s**2 + 84*s + 472. Let p be r(-5). Factor 0 + 20*k**3 + 45*k**p - 5/3*k**4 + 70/3*k.
-5*k*(k - 14)*(k + 1)**2/3
Let s(c) be the second derivative of c**5/4 + 15*c**4/4 + 50*c**3/3 + 30*c**2 - 726*c. Suppose s(l) = 0. Calculate l.
-6, -2, -1
Let q(s) be the second derivative of s**5/60 + 5*s**4/6 + 53*s**3/18 - 14*s**2 - 1527*s. Solve q(y) = 0.
-28, -3, 1
Let r(z) be the first derivative of 3*z**5 - 55*z**4 + 125*z**3/3 + 110*z**2 - 140*z + 2564. Find p, given that r(p) = 0.
-1, 2/3, 1, 14
Let f = 2774 + -2771. Let v(c) be the third derivative of -1/40*c**5 + 14*c**2 + 0 - 5/8*c**4 + 0*c - 25/4*c**f. Let v(l) = 0. Calculate l.
-5
Let w = 680844/970327 + -2/79535. Let z = w - -6/61. Suppose 8*n**2 + 6/5*n - z = 0. What is n?
-2/5, 1/4
Let w(f) be the second derivative of f**4 + 0 - 5*f**3 + 1/10*f**5 + 8*f**2 + 4*f. Factor w(y).
2*(y - 1)**2*(y + 8)
Let z(j) be the second derivative of j**6/6 - 3*j**5/4 - 95*j**4/12 + 5*j**3/2 + 45*j**2 + 5*j - 76. Find c such that z(c) = 0.
-3, -1, 1, 6
Let g(l) = 9*l**4 + 22*l**3 + l**2 - 28*l + 28. Let p(q) = 2*q**4 + q**3 + q**2 + 6*q - 2. Let b(s) = g(s) - 4*p(s). Let b(v) = 0. Calculate v.
-18, -2, 1
Let p be (-1442)/(-119) - (-8)/(-68). Let y be (p - 12)/(-2 - -3). Suppose 0*o + y*o**2 + 0 + 2/15*o**4 + 2/5*o**3 = 0. What is o?
-3, 0
Let b(s) be the second derivative of -s**4 - 13*s + 2 + 0*s**2 - 2/15*s**6 - 6*s**3 + s**5. Solve b(l) = 0 for l.
-1, 0, 3
Suppose 3*m - 2*v = 16, -4*m + 2*m - v + 6 = 0. Determine i so that 9*i - 55*i**m + 26*i**4 + 15*i**3 + 26*i**4 - 21*i**2 = 0.
0, 1, 3
Let z = -2527/3 + 10135/12. Factor 0 - z*l**2 - 1/4*l**4 + 0*l - 3/2*l**3.
-l**2*(l + 3)**2/4
Let j(y) = -y**2 + 17*y - 68. Let h be j(8). Factor -3*t**3 - h*t**2 - 62*t + 2*t**3 + 32 + 3*t**3 + 32*t**2.
2*(t - 1)**2*(t + 16)
Let s(l) be the third derivative of -l**8/224 + 11*l**7/140 - 21*l**6/40 + 17*l**5/10 - 5*l**4/2 + 228*l**2 - 5*l. Factor s(w).
-3*w*(w - 