/315 - s**6/180 - 7*s**5/15 - 3*s**2 - 1183. Factor q(d).
2*d**2*(d - 7)*(d + 6)/3
Determine k, given that -22*k**2 + 42*k**2 - 12*k**3 - 156 + 18*k**3 - 62*k = 0.
-13/3, -2, 3
Factor 0 + 0*f + 4/5*f**4 - 264/5*f**2 + 4*f**3.
4*f**2*(f - 6)*(f + 11)/5
Let b(u) be the first derivative of -u**4/9 - 56*u**3/27 + 14*u**2/3 + 40*u + 1151. Suppose b(r) = 0. Calculate r.
-15, -2, 3
Find v, given that -772/9*v**2 - 1528/9*v + 0 - 4/9*v**3 = 0.
-191, -2, 0
Let s = -1099295/337 - -3262. Let y = s + 2703/2359. Factor -4/7 + 0*i**2 - 8/7*i + 4/7*i**4 + y*i**3.
4*(i - 1)*(i + 1)**3/7
Let v(w) be the third derivative of -1 - 1/30*w**5 + 25/6*w**4 - 63*w**2 + 0*w + 17*w**3. What is g in v(g) = 0?
-1, 51
Suppose 0 = -2*l, -b + 2*l + 160 = b. Suppose 0 = -z + 6*z - b. Solve -g + g**4 - 6*g**3 - 3*g**2 - 11*g + z*g**2 + 4 = 0.
1, 2
Let w = -14 - -16. Suppose -w*l - 207 = -3*y - 38, 172 = 3*y + l. Determine u, given that -27*u**2 + y*u**2 - 21*u**2 + 3*u**3 - 12 = 0.
-2, 1
Suppose 0 = 2*f + 3*u + 115 - 37, -f = -5*u + 65. Let i be (-5)/((-50)/f)*(-2)/4. Determine w so that 0 + 3/4*w**4 + 0*w**2 - i*w**3 + 3*w = 0.
-1, 0, 2
Let l = -8625 + 345003/40. Let g(d) be the second derivative of -16*d - l*d**5 + 0 - 1/2*d**3 + 0*d**2 - 3/8*d**4. Find v such that g(v) = 0.
-2, -1, 0
Suppose -4*h + 307 = -0*h - s, h - 4*s = 88. Let k = h + -26. Let k*u**2 + 194*u**3 + 125*u - 91*u**3 - 98*u**3 = 0. Calculate u.
-5, 0
Let x(t) be the first derivative of 1/8*t**2 + 1/6*t**3 - 33 - 1/2*t - 1/16*t**4. Determine b so that x(b) = 0.
-1, 1, 2
Let o(i) be the second derivative of 13*i**4/6 - 28*i**3/3 - 30*i**2 + 23*i. Let v(z) = 9*z**2 - 19*z - 20. Let k(n) = 4*o(n) - 11*v(n). Solve k(c) = 0.
-1, 4
Let n = 11780/3 + -3905. Let o(j) be the first derivative of -20*j + 15/2*j**4 - 1 + 30*j**2 - j**5 - n*j**3. Let o(y) = 0. What is y?
1, 2
Let y be 3*(12/(-6) - -1) + 17 + -11 + 1. Factor 0*m - 2/5*m**y + 0 - 6*m**2 + 16/5*m**3.
-2*m**2*(m - 5)*(m - 3)/5
Let l be (5 + -5 - -1)/((-3)/33). Let h be 77/l - (-5 + -4). Determine p so that 3*p - 9/2 - 1/2*p**h = 0.
3
Let l(a) be the second derivative of -11/5*a**5 + 0*a**2 + 0 + 4*a**4 - 61*a - 8/5*a**6 + 2/3*a**7 + 8/3*a**3. Find o, given that l(o) = 0.
-1, -2/7, 0, 1, 2
Let g(s) = -9*s**2 - 5*s**3 - 6*s**3 + 1 + 10*s**2 + 12*s**3. Let n(t) = 6*t**3 + 23*t**2 + 5. Let d(p) = 5*g(p) - n(p). Factor d(w).
-w**2*(w + 18)
Suppose -5*y - f = 1, -4*y + 15 = -7*y + 3*f. Let g be (-12)/27 + ((-7)/(-63) - y). Find n such that 0 - 2/3*n**3 + 0*n**2 + 0*n + g*n**4 = 0.
0, 1
Let v(o) be the third derivative of o**5/80 + 119*o**4/8 + 14161*o**3/2 + 267*o**2. Factor v(j).
3*(j + 238)**2/4
Let q(f) = 77*f - 283. Let w be q(5). Factor 691*u**2 - 345*u**2 - 349*u**2 - w*u - 867.
-3*(u + 17)**2
Let 87*u**3 - 8*u**2 + 2*u**4 - 34*u**3 - 128*u + 16 - 21*u**3 - 16 = 0. Calculate u.
-16, -2, 0, 2
Suppose -58/3*i**2 + 2/9*i**3 - 176/9*i + 0 = 0. Calculate i.
-1, 0, 88
Let q be -7 - (25/(18375/546))/((-2)/20). Factor 0 + 48/7*w - q*w**3 + 45/7*w**2.
-3*w*(w - 16)*(w + 1)/7
Let x(q) = 6*q**2 - 295*q + 292. Let d be x(1). Find t such that -d*t**3 - 9/2*t**2 - 3*t - 3/4 - 3/4*t**4 = 0.
-1
Let u = -539656/21 + 25698. Let y(s) be the first derivative of 0*s - 4/7*s**2 + u*s**3 + 36. Solve y(h) = 0 for h.
0, 4
Let i = 140984 + -1836103/13. Let j = i + 255. Factor 2/13*m**3 + 2/13*m**2 + 0 - j*m.
2*m*(m - 1)*(m + 2)/13
Let j(v) be the third derivative of -243/10*v**5 - 729/2*v**4 - 9/10*v**6 + 0 - 5*v**2 - v - 6561/2*v**3 - 1/70*v**7. Factor j(a).
-3*(a + 9)**4
Let r(a) be the second derivative of -a**5/25 + 96*a**4/5 + 466*a**3/3 + 1752*a**2/5 + 13887*a. Factor r(u).
-4*(u - 292)*(u + 1)*(u + 3)/5
Let l be (-9)/(-24) - 468/(-288). Let f(v) = 2*v**2 - 77*v + 323. Let p = 4 + -7. Let a(d) = 3*d**2 - 78*d + 322. Let g(y) = l*f(y) + p*a(y). Factor g(i).
-5*(i - 8)**2
Let r(c) = 5*c**4 + 301*c**3 + 290*c**2 - 3*c - 3. Let v(f) = -f**4 - 3*f**3 + f + 1. Let g(o) = -r(o) - 3*v(o). Factor g(b).
-2*b**2*(b + 1)*(b + 145)
Let r(l) = l**2 + 15*l - 75. Let d be r(-19). Let t(c) = 3*c**3 - 5*c**2 - c + 5. Let b be t(d). Find a, given that -1/4 - 1/8*a**b - 3/8*a = 0.
-2, -1
Let p(z) = 2*z + 20. Let b be p(-9). Let w be (-125)/(-20) + b/(-8). Factor -8*u - 4*u**2 - 4 + w*u - 6*u.
-4*(u + 1)**2
Determine p so that -261189*p + 261156*p - 311 + p**2 + 31 = 0.
-7, 40
Let i = 326 - 329. Let s be -12*(-9)/(-36)*i/3. Factor 0 - j + 0*j**2 + 1/4*j**s.
j*(j - 2)*(j + 2)/4
Suppose -3*l + 4*y = 27, -538*l - 3*y + 21 = -540*l. Let 12/7 - 22/7*m + 12/7*m**2 - 2/7*m**l = 0. What is m?
1, 2, 3
Suppose -5*v + 4*j + 15 = 0, v - 3*v - 2*j + 6 = 0. Let p(u) be the first derivative of 16/15*u**v - 3 + 2/25*u**5 + 1/2*u**4 + 4/5*u**2 + 0*u. Factor p(h).
2*h*(h + 1)*(h + 2)**2/5
Let w(y) be the second derivative of y**6/15 - 5*y**5/2 - 44*y**4/3 + 112*y**3/3 + 1220*y. Factor w(z).
2*z*(z - 28)*(z - 1)*(z + 4)
Let n(q) = -4*q**4 + 6*q**3 + 123*q**2 + 10. Let a(u) = 6*u**4 - 10*u**3 - 185*u**2 - 14. Let d(i) = -5*a(i) - 7*n(i). Find r, given that d(r) = 0.
-4, 0, 8
Let n = 515 - -197. Let h = -3556/5 + n. Find a, given that h*a + 4/5*a**2 - 8/5 = 0.
-2, 1
Let f(h) = -2*h**2 + 24*h - 26. Let i be f(9). Suppose 0 = 24*d - i*d + 20. Factor 0 + 0*c**3 - 8/3*c**4 + 8/3*c**2 + 4/3*c - 4/3*c**d.
-4*c*(c - 1)*(c + 1)**3/3
Let t(s) = -2*s + 36. Let u be t(15). Let d = -94 + 97. Factor 3*p**2 + 0*p**2 - u + 2 - 2 - d*p.
3*(p - 2)*(p + 1)
Let t(u) be the first derivative of u**6/2 - 234*u**5/5 - 237*u**4/4 - 2099. Determine w so that t(w) = 0.
-1, 0, 79
Let z(t) be the first derivative of -2*t**5/135 + 7*t**4/9 - 49*t**3/3 - 6*t**2 - t - 306. Let l(j) be the second derivative of z(j). What is p in l(p) = 0?
21/2
Let n(o) be the first derivative of 17*o**7/3360 - o**6/360 - 103*o**3/3 + o**2 + 86. Let z(y) be the third derivative of n(y). Factor z(q).
q**2*(17*q - 4)/4
Let q(y) be the third derivative of -3*y - 1/2*y**4 + y**3 - 1/30*y**5 + 6*y**2 + 0. Let u(j) = -j**2 - 11*j + 6. Let r(l) = -5*q(l) + 4*u(l). Factor r(a).
2*(a + 3)*(3*a - 1)
Let h(i) be the third derivative of -2*i**7/105 - 4*i**6/15 + 3*i**5/5 + 13*i**2 + 1. Factor h(n).
-4*n**2*(n - 1)*(n + 9)
Let w(c) be the third derivative of c**5/300 - c**4/10 - 3*c**3/2 - 1169*c**2. Factor w(n).
(n - 15)*(n + 3)/5
Factor 1/3*a**4 - 83/3*a**2 - 98/3 + 63*a - 3*a**3.
(a - 14)*(a - 1)**2*(a + 7)/3
Let d(k) be the second derivative of -k**6/10 - 87*k**5/20 + 31*k**4/2 - 1522*k - 1. Solve d(t) = 0.
-31, 0, 2
Let t be ((-14)/(-12))/((-1351)/(-579)). Let m(g) be the first derivative of -4/5*g**5 + 14 + 0*g**3 + 0*g**2 + t*g**4 + 1/3*g**6 + 0*g. Factor m(l).
2*l**3*(l - 1)**2
Let s(h) be the second derivative of -135*h - 20*h**2 - 121/2*h**6 + 45/2*h**4 + 1 + 715/4*h**5 - 50*h**3. Find g such that s(g) = 0.
-2/11, 1/3, 2
Solve -2/3*y**2 - 604/3*y - 45602/3 = 0.
-151
Let n(l) = -13*l**3 - 77*l**2 - 213*l + 27. Let v(a) = -12*a**3 - 76*a**2 - 216*a + 24. Let z(k) = -8*n(k) + 9*v(k). Factor z(f).
-4*f*(f + 5)*(f + 12)
Let m(f) be the third derivative of 2*f**2 - 1/105*f**7 + 0*f - 7/60*f**6 + 1 - 2/5*f**5 + 0*f**4 + 0*f**3. Determine b, given that m(b) = 0.
-4, -3, 0
Let k(g) = 10*g**2 + 17*g - 45. Let i(l) = -13*l**2 - 19*l + 46. Let q(a) = -3*i(a) - 4*k(a). Factor q(b).
-(b - 3)*(b + 14)
Suppose 7*t = 8*t - 201. Let a = t + -197. Factor 4/3*y**4 - a*y**2 + 0*y**3 - 8/3*y + 0.
4*y*(y - 2)*(y + 1)**2/3
Suppose 45 = 2*s - 5*p, -2*s - 2*p + 0*p = -24. Suppose 0 = 8*w + s - 31. Solve 4/3 + 5/3*l + 1/3*l**w = 0.
-4, -1
Suppose -m = -5, -3 = -5*q + 5*m - 13. Find s such that 227*s + 384*s**2 - 489*s - 71*s**3 - 15*s**3 + 4*s**4 - 250*s + 14*s**q = 0.
0, 2, 8
Factor -2/3*n**3 + 1108/3*n**2 + 0 - 736*n.
-2*n*(n - 552)*(n - 2)/3
Let w be 750/500 + 2/1 + -3. Let t(o) be the first derivative of -2/9*o**3 + 1/30*o**5 + 1/12*o**4 - 45 + w*o - 1/6*o**2. Suppose t(p) = 0. Calculate p.
-3, -1, 1
What is c in -225/4*c**2 - 700 + 5/4*c**3 + 915/2*c = 0?
2, 8, 35
Let r(i) be the first derivative of -i**4/2 - 284*i**3/3 - 679*i**2 + 1644*i - 5135. Factor r(g).
-2*(g - 1)*(g + 6)*(g + 137)
Suppose -l**3 - 31/4*l**2 + 0 - 27/4*l = 0. Calculate l.
-27/4, -1, 0
Let d = -129 - -149. Let c be (-4)/d + (-4164)/(-20). Factor 630*u**3 + c*u + 1683*u**4 + 772*u**2 - 1539*u**4 + 16 - 6*u**3.
4*(u +