e of -x**3 + 47*x**2 - 96*x + 96. Let v(j) = 5*a(j) - 3*t(j). Factor v(q).
-(q - 1)*(q + 48)
Suppose 0 = 2*o - 10, 5*c = 4*o + 204 - 224. Factor -68/5*y**2 - 72/5*y**3 + 4/5*y + c.
-4*y*(y + 1)*(18*y - 1)/5
Let w(q) be the first derivative of -5*q**3/6 + 15*q**2/2 + 40*q - 6313. Factor w(c).
-5*(c - 8)*(c + 2)/2
Let y = -1041 - -1392. Let q be (-78)/y + 644/306. Factor 0 - 14/17*g**3 + q*g - 2/17*g**4 - 16/17*g**2.
-2*g*(g - 1)*(g + 4)**2/17
Let o be (-7)/63*(12 + 48)/(-20). Let g be (-14)/(-12)*2/14. Factor -1/6*z + o - g*z**2.
-(z - 1)*(z + 2)/6
Let c = 527966 - 527964. Let 38/17*d - 4/17*d**c - 48/17 = 0. What is d?
3/2, 8
Let g = 6864 + -6859. Let s(j) be the first derivative of 4/5*j**g + 2/3*j**6 - 23 + 0*j**2 + 0*j - 4/3*j**3 - j**4. Determine r, given that s(r) = 0.
-1, 0, 1
Let l(c) be the third derivative of -1/120*c**6 - 2*c**3 + 5*c**2 + 0*c + 1/48*c**4 + 0 + 1/48*c**5. Let z(q) be the first derivative of l(q). Solve z(d) = 0.
-1/6, 1
Let d(o) be the third derivative of 0*o**3 - 2/1575*o**7 - 1/2520*o**8 - 83*o**2 + 1/300*o**6 + 0 - 1/45*o**4 + 0*o + 2/225*o**5. Factor d(x).
-2*x*(x - 1)**2*(x + 2)**2/15
Let k(t) be the first derivative of -t**3/3 - 3325*t**2/6 + 2218*t/3 + 6632. Factor k(h).
-(h + 1109)*(3*h - 2)/3
Let f be 8260/(-9912) + (-97)/(-30). Determine u, given that -8 + f*u + 4/5*u**2 = 0.
-5, 2
Let a(u) = -14*u**2 - 422*u + 21632. Let i(y) = 22*y**2 + 425*y - 21632. Let g(v) = 3*a(v) + 2*i(v). Factor g(z).
2*(z - 104)**2
Suppose 0 = 5*f + 3 - 18. Determine s so that 1564*s + 3*s**3 + 6*s**2 - 5*s**f - 6 - 1562*s = 0.
-1, 1, 3
Let n(q) = -3*q**4 + 9*q**3 - 18*q**2 - 12*q. Let p(b) = -49*b**3 + 5*b**2 + 50*b**3 - b**4 - 6*b**2. Let o(i) = -n(i) + 6*p(i). Let o(f) = 0. What is f?
-2, -1, 0, 2
Let j = -251085 - -251089. Factor 0*y + 0*y**j + 0 + 0*y**2 - 1/3*y**5 + 1/3*y**3.
-y**3*(y - 1)*(y + 1)/3
Let q = 2231 - 2228. Let c(w) be the second derivative of -1/100*w**5 + 0 + 3/10*w**2 + 1/30*w**q - 1/20*w**4 + 5*w. Factor c(r).
-(r - 1)*(r + 1)*(r + 3)/5
Factor -8024/7*i - 12/7*i**2 + 2676/7.
-4*(i + 669)*(3*i - 1)/7
Factor 477 + 547 - 60*n + 528*n**2 - 287*n - 530*n**2 - 161*n.
-2*(n - 2)*(n + 256)
Let d(t) = -t**5 - 5*t**4 - 48*t**3 + 71*t**2 + 34*t - 57. Let p(v) = -2*v**5 - v**3 + 2*v**2 - 2*v + 1. Let s(y) = -d(y) + 3*p(y). Suppose s(q) = 0. What is q?
-3, -1, 1, 2
Suppose -2538*z + 2541*z = 5*j + 21, 2*z - 14 = 5*j. Determine d so that 1/2*d**3 + j + 0*d + 3/2*d**2 = 0.
-3, 0
Suppose 10 - 4 = 2*c. Suppose 4*u - 2 = c*u. Suppose -3*j**2 + 0*j**u + 16*j - 6*j - 6 - j = 0. What is j?
1, 2
Let q(r) = 144*r**2 + 15773*r + 5257. Let p(z) = -92*z**2 - 15774*z - 5258. Let u(v) = 3*p(v) + 2*q(v). Factor u(s).
4*(s - 1315)*(3*s + 1)
Let j(o) = -o**2 + o - 4. Let v(p) = -2*p**2 - 827*p - 171400. Let l(x) = -3*j(x) + 3*v(x). Factor l(s).
-3*(s + 414)**2
Let w = 199 + -190. Determine z, given that w*z**5 + 13*z**5 + z**4 + 11*z**5 - 34*z**5 = 0.
0, 1
Let u be (-488)/(-10) - -3 - (-2)/10. Factor u*n + 16 + 13*n**4 + 0 - 9*n**4 + 60*n**2 + 28*n**3.
4*(n + 1)**3*(n + 4)
Let g be ((-4)/(-3))/(232/74211). Let j = g - 425. Factor -j + 3*f - 3/2*f**2.
-3*(f - 1)**2/2
Suppose -39563*s + 39520*s + 129 = 0. Let 6/7*d + 3/7 + 0*d**2 - 3/7*d**4 - 6/7*d**s = 0. Calculate d.
-1, 1
Let w(a) be the second derivative of -a**5/40 - 19*a**4/8 - 361*a**3/4 + 32*a**2 + 82*a. Let d(m) be the first derivative of w(m). Factor d(q).
-3*(q + 19)**2/2
Determine a so that -15*a - 14 + 49*a**3 + 12*a**2 + 16*a + 2*a**4 - 33*a**3 - 17*a = 0.
-7, -1, 1
Let d(b) be the first derivative of 5*b**9/3024 - b**8/112 + b**7/84 - 53*b**3/3 + 62. Let x(m) be the third derivative of d(m). Determine u so that x(u) = 0.
0, 1, 2
Suppose 506*l = 507*l - 10. Suppose 0 - l*f + 296*f**3 + 8*f**2 + 0 + 298*f**3 - 592*f**3 = 0. What is f?
-5, 0, 1
Let i(s) be the first derivative of -2/3*s**3 - 16 + 0*s**2 - 14*s + 1/6*s**4. Let y(h) be the first derivative of i(h). Solve y(v) = 0.
0, 2
Suppose -88 - 367 = -91*k. Let s(w) be the third derivative of 2*w**2 + 0*w - 5/9*w**3 - 5/72*w**4 + 0 + 1/36*w**k. Factor s(o).
5*(o - 2)*(o + 1)/3
Let b be 32/(-2) - (-55 + 39). Let g = -34 + 38. Let 4/9*i**g + b + 1/3*i**3 + 1/9*i**5 + 0*i + 0*i**2 = 0. What is i?
-3, -1, 0
Suppose -2*o + l - 147 = 473, -l = 3*o + 925. Let b = o + 312. Factor 3/4 - 3/4*s**2 + 1/4*s - 1/4*s**b.
-(s - 1)*(s + 1)*(s + 3)/4
Let d(l) be the first derivative of -250/3*l**3 - 97*l**2 + 2*l**4 - 177 + 64*l. Factor d(s).
2*(s - 32)*(s + 1)*(4*s - 1)
Let a(d) be the first derivative of -2*d**5/5 + 91*d**4/9 + 298*d**3/27 - 14*d**2/3 + 1565. Determine y, given that a(y) = 0.
-1, 0, 2/9, 21
Let b(o) be the third derivative of -o**6/60 + 19*o**5/15 - 131*o**4/12 - 170*o**3/3 - 5*o**2 - 1172*o. Factor b(k).
-2*(k - 34)*(k - 5)*(k + 1)
Let g be (9/21)/(63/(-392)*-20). Let w(u) be the first derivative of 8/5*u - 11 - u**2 + g*u**3. Factor w(h).
2*(h - 4)*(h - 1)/5
Find i, given that 6*i**4 + 83*i**3 - 94*i**3 - 44*i**2 + 21*i**3 - 112 - 232*i + 72*i**3 = 0.
-14, -1, -2/3, 2
Suppose -3*l - 2*k = 10, -2*l + 9 = -3*k - 6. Let d be (l + -3)*2/(-3). Suppose -4*f + 2*f**d + 2*f**3 + 2*f + 56 - 58 = 0. Calculate f.
-1, 1
Let g(m) = 1930*m - 48242. Let f be g(25). Solve 7/2*p**3 + 1/2*p**5 + 7/2*p**4 - 19/2*p**2 - f*p + 10 = 0 for p.
-5, -2, 1
Suppose 510*t + 12 = 507*t. Let s(c) = -c**2 + 282*c + 6619. Let x(d) = -6*d**2 + 1410*d + 33093. Let l(h) = t*x(h) + 21*s(h). Factor l(z).
3*(z + 47)**2
Let n = -136917 + 136920. Suppose 130/11*v**2 - 6/11*v**n - 62*v - 22 = 0. Calculate v.
-1/3, 11
Let w = 9/5644 + 129767/28220. Factor 76/5 - 1/5*m**3 - 16*m + w*m**2.
-(m - 19)*(m - 2)**2/5
Let g(l) be the third derivative of l**5/20 - 29*l**4/4 + 108*l**3 - l**2 - l - 20. Factor g(o).
3*(o - 54)*(o - 4)
Factor 2896/3*q - 1048352 - 2/9*q**2.
-2*(q - 2172)**2/9
Let z be 645018/(-1428830) - 6/(-10). Let l = z + 2/379. Solve -2/13*n + 4/13 - l*n**2 = 0.
-2, 1
Let k(j) be the second derivative of j**6/6 - 53*j**5/4 - 5635*j**4/12 - 7485*j**3/2 + 14175*j**2 - 6170*j. Factor k(m).
5*(m - 70)*(m - 1)*(m + 9)**2
Factor -15/4*z - 1/4*z**3 + 0 + 2*z**2.
-z*(z - 5)*(z - 3)/4
Let k(q) be the first derivative of -q**5 + 40*q**4 + 5*q**3/3 - 80*q**2 - 5357. Solve k(b) = 0.
-1, 0, 1, 32
Let f(d) be the first derivative of -d**4/4 + 43*d**3/3 + 285*d**2/2 + 441*d - 97. Factor f(s).
-(s - 49)*(s + 3)**2
Let a = 626340 - 626336. Find b such that 54/13*b**2 + 0 + 0*b - 24/13*b**3 + 2/13*b**a = 0.
0, 3, 9
Let r(u) = -3*u**3 + 42*u**2 - 159*u + 135. Let g(t) = 9*t**3 - 127*t**2 + 478*t - 400. Let q(m) = 3*g(m) + 8*r(m). Let q(s) = 0. What is s?
1, 4, 10
Let y(f) = -f**2 - 145*f - 560. Let o(z) = 2. Let w(h) = -2*o(h) + y(h). Find t such that w(t) = 0.
-141, -4
Let o(q) be the first derivative of 3*q**5/5 - 37*q**4/12 + 47*q**3/9 - 19*q**2/6 - 305. Factor o(k).
k*(k - 1)**2*(9*k - 19)/3
Factor 320000/3 - 1600/3*i + 2/3*i**2.
2*(i - 400)**2/3
Let v = -242 + 252. Suppose 6*o**2 - 2*o**5 - v*o**4 + 12*o**3 + 35*o**2 + 22*o**3 + o**2 = 0. What is o?
-7, -1, 0, 3
Let t(k) be the first derivative of -k**4/96 + 7*k**3/6 + 167*k + 190. Let j(v) be the first derivative of t(v). Find g, given that j(g) = 0.
0, 56
Let h = -167465 + 167465. Factor h + 1/3*a**2 + 2/9*a + 1/9*a**3.
a*(a + 1)*(a + 2)/9
Let o be ((-12)/(-10))/((-14 - -29)*6/20). Let y(q) be the second derivative of 0*q**2 + 10/21*q**7 + 0*q**4 + 15*q + 0*q**5 + 0 - o*q**6 + 0*q**3. Factor y(r).
4*r**4*(5*r - 2)
Factor 190 + 18*p**2 - 27*p**2 + 2*p**3 + 104*p**2 + 382*p + 99*p**2.
2*(p + 1)**2*(p + 95)
Let x(h) be the second derivative of -18*h**6/5 - 9*h**5 + 1751*h**4/4 - 289*h**3 + 72*h**2 - 48*h + 10. Suppose x(l) = 0. What is l?
-8, 1/6, 6
Let q(h) be the second derivative of -h**4/54 - 236*h**3/27 - 235*h**2/9 - 1088*h. Factor q(s).
-2*(s + 1)*(s + 235)/9
Let t(n) be the first derivative of n**6/10 + 96*n**5/25 - 3*n**4/20 - 32*n**3/5 + 7489. Let t(a) = 0. What is a?
-32, -1, 0, 1
Let k be (-5)/2 + 0 + 240/160. Let y(f) = 8*f**4 + 21*f**3 - 56*f**2 + 16*f + 13. Let i(h) = -h**4 + h**2 + h + 1. Let g(b) = k*i(b) + y(b). Factor g(x).
3*(x - 1)**2*(x + 4)*(3*x + 1)
Let f be (18/36)/(1/4). Suppose -x**3 - 15*x + 3*x**2 - 23*x**3 + x + 45*x**f - 18*x + 4*x**4 = 0. What is x?
0, 2
Let j(s) be the second derivati