Let g be 0 + 2 - (-1 - 0). Let b(i) = i**2 + 19*i + 12. Let x(o) = -3*o**2 - 37*o - 24. Let h(l) = g*x(l) + u*b(l). Factor h(c).
-4*(c + 1)*(c + 3)
Let r(q) be the second derivative of q**4/42 - 674*q**3/21 - 675*q**2/7 + 7*q + 492. Factor r(s).
2*(s - 675)*(s + 1)/7
Let w(i) = 1482*i**2 + 13728*i + 44. Let q(v) = 202*v**2 + 1961*v + 6. Let j(u) = 44*q(u) - 6*w(u). Factor j(m).
-4*m*(m - 979)
Let n(x) = x**2 - 10*x + 20. Let f be n(6). Let b(h) = 64*h + 258. Let q be b(f). Find z, given that 1/4*z**4 + 0 + 2*z**3 + 4*z + 5*z**q = 0.
-4, -2, 0
Let p = -468866039/337732395 - 2/1237115. Let y = -4/39 - p. Factor y*l + 0 + 3/7*l**2.
3*l*(l + 3)/7
Suppose 9*t = 2*t - 196. Let y be (-246)/(-22) - t/(-154). Factor 5*w**2 - w - 1114 + y*w + 1099.
5*(w - 1)*(w + 3)
Let g(r) be the first derivative of -r**6/432 + 5*r**4/144 - 8*r**3 + 243. Let f(q) be the third derivative of g(q). What is h in f(h) = 0?
-1, 1
Suppose 3*z = 3, 340*z - 341*z = -d + 9. Suppose -11 + 31 = d*k. Factor -1/8*a - 1/8*a**3 + 0 - 1/4*a**k.
-a*(a + 1)**2/8
Let w(l) be the first derivative of -2*l**6/3 + 36*l**5/5 - 13*l**4 - 12*l**3 + 28*l**2 + 1200. Solve w(j) = 0 for j.
-1, 0, 1, 2, 7
Let h = -30597 + 30600. Let 0 - 2/3*w**h - 2*w**2 - 4/3*w = 0. Calculate w.
-2, -1, 0
Let z(o) be the second derivative of -6/7*o**3 - 1/210*o**6 + 10/7*o**2 + 17/84*o**4 + 0*o**5 + 0 - 254*o. Factor z(f).
-(f - 2)**2*(f - 1)*(f + 5)/7
Let q(f) be the third derivative of -29*f**2 - 1/80*f**6 + 0*f + 3*f**3 + 0 + 3/40*f**5 + f**4. Factor q(p).
-3*(p - 6)*(p + 1)*(p + 2)/2
Let h be ((-2)/17 - (-3345)/255)/1. Let r(n) be the first derivative of -4/7*n**2 - 16/7*n - h - 1/21*n**3. Determine t, given that r(t) = 0.
-4
Let o(g) = 12*g**3 + 56*g**2 - 196*g + 144. Let a(p) = -40*p**3 - 169*p**2 + 589*p - 432. Let m(s) = -4*a(s) - 13*o(s). Solve m(h) = 0 for h.
1, 6
Let o be (11/(-22))/((-6)/(720/(-1182))). Let r = o + 217/394. Factor 1/2*n**3 - r*n**5 + 0*n + 1/2*n**4 + 0 - 1/2*n**2.
-n**2*(n - 1)**2*(n + 1)/2
Let o(r) = 2*r + 13. Let l be o(-5). Suppose -w - 13 = -4*d, -5*d + 2*d - 9 = l*w. What is p in -p**d + 4*p + 4*p - 3*p - 4*p**2 = 0?
0, 1
Let k(n) = 11*n + 2. Let l be -1 - 3*(-3)/3. Let p be k(l). What is x in -32*x**4 + x**5 - 2*x**5 - p*x**3 - 11*x**5 + 4*x = 0?
-1, 0, 1/3
Let s(y) = 61*y**3 - 410*y**2 + 160*y - 18. Let j(p) = 57*p**3 - 410*p**2 + 160*p - 16. Let i(v) = 9*j(v) - 8*s(v). Determine q, given that i(q) = 0.
0, 2/5, 16
Suppose 0 = -3*n + 4 + 2, -5*u = -5*n. Suppose -90*o**u + 40*o**2 - 168*o + 3528 + 52*o**2 = 0. Calculate o.
42
Suppose 25488 + 62452 = 20*b. Factor -261*v + b + 4*v**2 + 1548 - 1589 + 21*v - 24*v.
4*(v - 33)**2
Let o(t) be the second derivative of -t**7/14 - 3*t**6/10 + 6*t**5 + 912*t + 1. Determine m, given that o(m) = 0.
-8, 0, 5
Let i = 8402/15 - 561. Let z = i + 46/5. Suppose -5/3*d**2 - z*d - 20/3 = 0. Calculate d.
-4, -1
Let y be (4304/720 + -6)*6/(-4). Let d(u) be the third derivative of 0*u**4 + 0*u - 2*u**2 + y*u**6 - 4/15*u**5 + 0*u**3 + 0. Factor d(v).
4*v**2*(v - 4)
Let v(n) be the second derivative of -n**7/3780 + 7*n**6/270 - 49*n**5/45 + 21*n**4/4 + 2*n - 6. Let a(t) be the third derivative of v(t). Factor a(o).
-2*(o - 14)**2/3
Let l(b) be the first derivative of -b**6/12 - 103*b**5/10 - 297*b**4 + 2430*b**3 + 2690. Let l(k) = 0. Calculate k.
-54, 0, 5
Let p(a) be the second derivative of 88 + 57/4*a**4 + 33/20*a**5 + 38*a**3 - a + 18*a**2. Factor p(q).
3*(q + 2)*(q + 3)*(11*q + 2)
Let s(t) = -7*t**3 + t**2 + 100*t + 170. Let k(w) = -37*w**3 + 4*w**2 + 499*w + 851. Let z(f) = -2*k(f) + 11*s(f). Factor z(l).
-3*(l - 7)*(l + 2)*(l + 4)
Let c be (4/(-2) - 3/(-6))*-38. Suppose -50*u = -c - 93. Factor 0 + 16/3*s**u - 3/2*s**5 - 2*s**2 - 5/2*s**4 + 0*s.
-s**2*(s + 3)*(3*s - 2)**2/6
Find f, given that 125*f + 81*f**4 + 28*f**5 - 128 + 272*f**3 - 40*f**5 - 457*f**4 + 504*f**2 - 385*f = 0.
-32, -1, -1/3, 1
Let v = 3391/12 + 5435/12. Let h = 736 - v. Factor -5/8*l**3 - h*l + 13/8*l**2 - 1/2.
-(l - 2)*(l - 1)*(5*l + 2)/8
Suppose -f - 3 = -2*i, -4*i = -48*f + 43*f + 9. Suppose -34/9*z**3 - 28/9*z + 0 + 50/3*z**2 - 26/3*z**i - 10/9*z**5 = 0. What is z?
-7, -2, 0, 1/5, 1
Let v = -168532 + 168534. Let -80/9*n**5 + 118/9*n**3 - 44/9*n**4 - 2/9 - 38/9*n + 46/9*n**v = 0. Calculate n.
-1, -1/20, 1/2, 1
Suppose 5*q + 23 = w, -5*w = -2*w - 3*q - 21. Let k(h) be the second derivative of -1/5*h**5 - 4/3*h**4 + 3*h + 0 - 4*h**2 - 10/3*h**w. Factor k(u).
-4*(u + 1)**2*(u + 2)
Let i(s) = s**5 + 2*s**2 + 2. Let o(x) = -x**5 - 7*x**4 - 30*x**3 + 118*x**2 - 131*x + 41. Let p(j) = 2*i(j) + o(j). Factor p(y).
(y - 9)*(y - 1)**3*(y + 5)
Let s(b) be the third derivative of -b**5/150 + 26*b**4/15 - 2704*b**3/15 - 367*b**2 + 2*b. Let s(j) = 0. What is j?
52
Suppose 0*t + t - 893 = -5*j, -5*t = -2*j + 341. Let j*n**2 - 81*n + 35*n - 6*n + 14*n**3 = 0. What is n?
-13, 0, 2/7
Let 8*v**3 - 77*v**3 - 51*v - 111*v**2 + 9*v**4 - 21*v + 93*v + 54 = 0. Calculate v.
-1, 2/3, 9
Suppose 118405*y + 701 + 9667 = 118513*y. Factor -4/3*l**2 - 1728 + y*l.
-4*(l - 36)**2/3
Let y be (-16)/(-90)*525/700. Let -y*l**2 + 4/5 + 2/3*l = 0. Calculate l.
-1, 6
Let k = 39385 + -39383. Factor 7*b - 1/4*b**k - 49.
-(b - 14)**2/4
Let n(d) be the first derivative of 2*d**6/27 + 4*d**5/15 - 50*d**4/9 - 200*d**3/9 + 1250*d**2/9 + 2500*d/3 - 1055. Let n(o) = 0. Calculate o.
-5, -3, 5
Determine g, given that -240/7*g + 0 + 33/7*g**3 + 6*g**2 + 3/7*g**4 = 0.
-8, -5, 0, 2
Let a = -104 - -109. Let y be -2 - a/2 - (-5 + 0). Let 1/4*z**5 - y*z**4 + 0*z - 1/4*z**3 + 0 + 1/2*z**2 = 0. What is z?
-1, 0, 1, 2
Let b = -267 - -164. Let h = -101 - b. Solve 3/2*k**4 + 0*k**h + 3/2*k**5 + 0 + 0*k + 0*k**3 = 0 for k.
-1, 0
Let m be (((-592)/(-3))/8)/10. Let d = -214/105 + m. What is i in 0 + d*i**3 - 3/7*i + 0*i**2 = 0?
-1, 0, 1
Let q(h) be the second derivative of 2*h**7/105 + 7*h**6/120 + h**5/30 - h**4/24 + 103*h**2/2 - 7*h. Let z(o) be the first derivative of q(o). Factor z(s).
s*(s + 1)**2*(4*s - 1)
Let w(s) = s**2 + 1. Suppose -1369*h = -1366*h + 6. Let f(o) = 1 - 2*o + 3 + 0. Let v(m) = h*f(m) + 2*w(m). Suppose v(a) = 0. Calculate a.
-3, 1
Let m(j) be the first derivative of j**4/9 + 4*j**3/3 + 10*j**2/3 + 53*j - 80. Let s(l) be the first derivative of m(l). Suppose s(w) = 0. What is w?
-5, -1
Let a(d) be the second derivative of d**6/210 - d**4/42 + d**2/14 + 2832*d. Factor a(h).
(h - 1)**2*(h + 1)**2/7
Let u = -446925 + 446928. Find p such that -34/3*p**4 - 6*p**u + 10/3*p**2 - 2*p**5 + 0 + 0*p = 0.
-5, -1, 0, 1/3
Let n be ((-27)/(-15))/((-12)/(-20)) - 434/154. Factor 12/11 + 2*o + 8/11*o**2 - n*o**3.
-2*(o - 6)*(o + 1)**2/11
Let b = 539/19 - 3754/133. Let c(y) be the first derivative of -2/21*y**3 - 27 + 12/7*y + b*y**2. Factor c(z).
-2*(z - 3)*(z + 2)/7
Let r = -91821/5 + 18365. Let d(q) be the first derivative of -r*q**3 - 19 + 9/5*q**2 + 1/10*q**4 - 8/5*q. Factor d(z).
2*(z - 4)*(z - 1)**2/5
Let k(f) be the third derivative of -11*f**5/20 + 63*f**4/8 + 9*f**3 + 260*f**2 - 3. Find m such that k(m) = 0.
-3/11, 6
Suppose 72/5*j - 4/5*j**4 + 128/5 - 72/5*j**3 - 124/5*j**2 = 0. Calculate j.
-16, -2, -1, 1
Let q(c) be the second derivative of 16*c**6/15 - 17*c**5/10 + c**4/6 - 271*c - 2. What is s in q(s) = 0?
0, 1/16, 1
Let o(v) be the second derivative of 1/5*v**6 + 0*v**2 + 107*v + 12*v**3 + 0 + 37/10*v**5 + 20*v**4. Let o(b) = 0. What is b?
-6, -1/3, 0
Let w(h) = 44*h - 162. Let t be w(3). Let u be 3/t - (-30)/300. Let u - 1/7*k**2 + 2/7*k = 0. Calculate k.
0, 2
Let x(m) = 2*m**2 - 19*m - 1. Let d be x(-9). Let t = d - 98. Determine i so that -2*i - 229*i**4 - 33*i + 45*i**2 + t*i**4 + 10 - 25*i**3 = 0.
1, 2
Let y(t) be the first derivative of 0*t + 4/5*t**3 - 9/20*t**4 - 3/25*t**5 + 18/5*t**2 - 22. Solve y(g) = 0.
-3, -2, 0, 2
Let x(u) be the first derivative of 25*u**6/6 - 28*u**5 + 75*u**4/2 + 60*u**3 - 135*u**2/2 + 1582. Solve x(f) = 0.
-1, 0, 3/5, 3
Let a(i) be the first derivative of 54 - 1/2*i**4 - 256*i**2 + 0*i - 64/3*i**3. Factor a(v).
-2*v*(v + 16)**2
Let k = 42/439 - -61/3951. Factor 0 + k*r**5 - 2/9*r + 5/9*r**2 - 1/9*r**4 - 1/3*r**3.
r*(r - 1)**3*(r + 2)/9
Let y = -647/7590 - -30/253. Let k(q) be the second derivative of -5/9*q**3 + 8*q + 0 - y*q**5 - 2/9*q**4 - 2/3*q**2. Find r such that k(r) = 0.
-2, -1
Su