 -216 + 224. Factor -5*z**2 + 11*z**5 + z**2 - 2*z**3 - 2*z**5 - 3*z**5 + h*z**4.
2*z**2*(z + 1)**2*(3*z - 2)
Let w(j) = -477*j - 1900. Let f be w(-4). Let i(a) be the second derivative of 0*a**3 + f*a + 0*a**2 - 1/70*a**5 + 0 - 1/14*a**4. Suppose i(r) = 0. What is r?
-3, 0
Factor 76 + 25/2*z**2 - 1/2*z**3 - 61*z.
-(z - 19)*(z - 4)*(z - 2)/2
Let z = 48934 - 48932. Factor -1/6*h**3 - z + 23/6*h - 5/3*h**2.
-(h - 1)**2*(h + 12)/6
Let g = -247/891 + 1385/1782. Solve -g*b**2 - 2312 - 68*b = 0.
-68
Let v = 521 + -516. Let n be (-38)/(-95) - (-33)/5 - v. Determine t, given that -1/5 - 1/5*t**n + 2/5*t = 0.
1
Let t(v) = 14*v**2 - 3952*v + 653408. Let n(b) = 5*b**2 - 1317*b + 217803. Let p(u) = -8*n(u) + 3*t(u). Find f such that p(f) = 0.
330
Let c = 1468 - 1056959/720. Let h(w) be the third derivative of 0*w - 11/144*w**4 + c*w**6 + 0 + 1/90*w**5 - 8*w**2 + 1/6*w**3. Find o such that h(o) = 0.
-6, 1
Factor -1065 + 437*m - 104757*m**2 - 67*m + 104752*m**2.
-5*(m - 71)*(m - 3)
Let c = 24/125 + 77/250. Suppose 4*m + s + 2 = -0*s, 5*s = -m - 10. Factor 0 - 1/2*i**3 + m*i + c*i**5 - i**4 + i**2.
i**2*(i - 2)*(i - 1)*(i + 1)/2
Let d = -902449 - -902449. Solve -1/4*t**3 + t**2 - t + d = 0 for t.
0, 2
Let d be ((-492)/328)/((-3)/4). Let q(l) be the third derivative of 0*l + 15/8*l**4 + 0 + 1/4*l**5 + 10*l**d + 1/42*l**7 + 0*l**3 - 5/24*l**6. Factor q(i).
5*i*(i - 3)**2*(i + 1)
Let i(r) be the first derivative of 38*r - 8 + 2/3*r**3 + 20*r**2. What is a in i(a) = 0?
-19, -1
Let z = 1236856/17 + -72756. Factor -4/17*b**3 + 2/17*b**4 + 0 + z*b - 2/17*b**2.
2*b*(b - 2)*(b - 1)*(b + 1)/17
Suppose 0 = -4*p + 3*i + 16, 0*p + 12 = 3*p - 3*i. Suppose -v - 4 = 5*u, -p + 0 = 3*u + v. Solve 1/3*o**2 - 2/3*o + u + 1/3*o**3 = 0.
-2, 0, 1
Let u = -506 - -515. Let p(q) = -7*q**2 + 106*q - 103. Let y(x) = -30*x**2 + 423*x - 411. Let i(l) = u*p(l) - 2*y(l). Factor i(m).
-3*(m - 35)*(m - 1)
Suppose -3*a + 13 = -0*a - f, 4*f = -3*a - 7. Suppose -9 = -6*o + a*o. Let 4*u - u**3 + 3*u**o + 8*u**2 - u**3 + 3*u**3 = 0. Calculate u.
-1, 0
Let c(b) = b**4 + 4*b**2 + b - 3. Let h(f) = 4*f**4 + 16*f**3 - 14*f**2 - 34*f - 6. Let z(k) = 2*c(k) - h(k). Factor z(w).
-2*w*(w - 2)*(w + 1)*(w + 9)
Suppose 754*d + 189*d = 230*d + 2139. Factor 75/2*z**2 + 15*z + 125/4*z**d + 2.
(5*z + 2)**3/4
Let f(c) = 6*c**2 - 558*c + 531. Let j(g) = -2*g**2 + 186*g - 178. Let o(k) = -2*f(k) - 7*j(k). Determine r, given that o(r) = 0.
1, 92
Let h(j) = 22*j**3 - 12*j - 2. Let p(y) = 4*y**3 + y**2 - y. Suppose 3*k + 27 = -l - 3*l, -4*l - 4*k = 28. Let u(w) = l*p(w) + h(w). Factor u(c).
-2*(c + 1)**3
Let y be ((-5)/(-12))/((-9550)/160 - -60). Find b such that y*b**3 + 7/3*b**2 + b + 0 = 0.
-1, -3/4, 0
Let b(q) be the third derivative of -q**5/75 - 626*q**4/15 - 783752*q**3/15 + 4*q**2 + 531. Factor b(z).
-4*(z + 626)**2/5
Solve 144/13*t + 66/13*t**4 - 8/13*t**5 - 136/13*t**3 - 32/13 - 34/13*t**2 = 0.
-1, 1/4, 1, 4
Let f(z) be the first derivative of 5/12*z**4 - 45/2*z**2 + 40*z - 20/3*z**3 + 35. Let h(i) be the first derivative of f(i). Determine a so that h(a) = 0.
-1, 9
Let p(y) = -y**3 + 4*y**2 + 2*y - 6. Let b be p(4). Determine r so that -22 + 12 + 32 - 5*r**3 + 28 + 5*r - 50*r**b = 0.
-10, -1, 1
Let 21*a**3 + 16*a**2 - 189*a + 1/2*a**4 - 369/2 = 0. Calculate a.
-41, -3, -1, 3
Suppose 640 = 3*t + 2*m, 2*t + 5*m - 2*m = 435. Let g be 0 - 4 - t/(-40). Factor -g*z**2 - 1 - 3*z.
-(z + 2)*(5*z + 2)/4
Let x = -497520 + 3980163/8. Factor -57/4*y + x - 180*y**3 + 96*y**2.
-3*(4*y - 1)**2*(30*y - 1)/8
Let g(z) = 3*z**4 - 20*z**3 + 10*z**2 + 36*z - 1. Let w(f) = f**3 - 2*f**2 - 1. Let x(b) = g(b) - w(b). Let x(p) = 0. What is p?
-1, 0, 2, 6
Let z(k) be the second derivative of -9*k**5/10 + 17*k**4/4 - 8*k**3 + 15*k**2/2 + 7*k - 9. Factor z(g).
-3*(g - 1)**2*(6*g - 5)
Let l be 1*(0 - (-8)/6)*304/1216. Let v(y) be the first derivative of l*y**3 + y**2 + 0*y - 1/8*y**4 - 1/20*y**5 + 9. Suppose v(w) = 0. What is w?
-2, 0, 2
Let p = -17012 + 17012. Let u(a) be the second derivative of 3/20*a**5 - 9*a**2 + 34*a + 1/2*a**3 + a**4 + p. Solve u(q) = 0 for q.
-3, -2, 1
Let l(n) be the first derivative of -1/2*n**2 - 2/3*n**3 + n + 1/5*n**5 - 1/6*n**6 - 49 + 1/2*n**4. Determine k, given that l(k) = 0.
-1, 1
Let x(i) be the second derivative of i**4/4 - 454*i**3/3 - 303*i**2/2 + 4532*i. Factor x(r).
(r - 303)*(3*r + 1)
Let x(z) be the third derivative of -1/9*z**5 + 0*z**3 + 0 - 1/90*z**6 + 1/3*z**4 - 239*z**2 + 0*z. Factor x(n).
-4*n*(n - 1)*(n + 6)/3
Factor 1106309823 + 157171982*n + 65669074*n + 2096459073 + 177226687*n + 218010465*n + n**5 + 14878976*n**2 + 614*n**4 + 142272*n**3.
(n + 6)*(n + 152)**4
Let w be -3*(-4)/(-6) + -122. Let g = w + 126. Let -12/11*l - 14/11*l**3 + 46/11*l**g + 0 = 0. What is l?
0, 2/7, 3
Let r = -377 + 387. Suppose -f = -o + 1, 3*f - 2*o = 5*f - r. Factor 0 + 4/21*h**3 - 2/21*h + 0*h**4 + 0*h**f - 2/21*h**5.
-2*h*(h - 1)**2*(h + 1)**2/21
Let m(r) = -14*r + 226. Let x be m(11). Suppose -65*g = -x*g. What is c in 0 + 5/4*c**3 - c - 1/4*c**5 + g*c**2 + 0*c**4 = 0?
-2, -1, 0, 1, 2
Let c(d) be the first derivative of 2*d**5/5 - 27*d**4/2 + 262*d**3/3 - 105*d**2 - 12601. What is z in c(z) = 0?
0, 1, 5, 21
Let s(d) be the second derivative of -2*d**6/75 - 3*d**5/25 + 29*d**4/15 + 2*d**3/5 - 56*d**2/5 - 3033*d + 1. Solve s(y) = 0.
-7, -1, 1, 4
Let u be (-2744)/(-2)*64/(-128). Let f = u - -6175/9. Let -1/9*i**3 + 1/3 - 1/3*i**2 + f*i = 0. Calculate i.
-3, -1, 1
Let c be ((1318 - 1290) + (-440)/14)*(-4)/6. Solve c*x**3 + 26/7*x**2 + 12/7*x + 0 + 2/7*x**4 = 0.
-6, -1, 0
Let o(n) be the first derivative of 0*n**3 - 1/6*n**6 + 1/4*n**4 + 0*n**2 + 0*n + 0*n**5 - 104. Factor o(y).
-y**3*(y - 1)*(y + 1)
Let i(z) = 55*z**4 + 80*z**3 - 405*z**2 - 960*z. Let n(s) = -20*s**4 - 29*s**3 + 147*s**2 + 349*s. Let u(c) = -11*i(c) - 30*n(c). Factor u(y).
-5*y*(y - 3)*(y + 2)*(y + 3)
Let h(z) = -3*z**3 - 46*z**2 + 38*z + 98. Let v be h(-16). Let k(w) be the first derivative of -5/16*w**4 + 0*w**v + 0*w - 5/6*w**3 - 8. Factor k(a).
-5*a**2*(a + 2)/4
Suppose 0 = 19*g - 37 - 229. Solve 29 - 13 + 0*p**2 + 2*p**2 + g*p - 4 = 0 for p.
-6, -1
Suppose -139*b**3 - 9*b**2 + 5*b**2 + 149*b**3 + 2*b**5 + 18*b**2 - 14*b**4 - 12*b = 0. Calculate b.
-1, 0, 1, 6
Suppose 0 = -2*a - 31 + 39. Suppose 0 = q - a*n + 17, 3*q - 4*q - 3*n = -18. Find o such that -49*o**4 + 48*o**4 + o**3 + 0*o**q = 0.
0, 1
Suppose -9 + 8*n**3 - 2*n**4 - 15/2*n + 11*n**2 - 1/2*n**5 = 0. Calculate n.
-6, -1, 1, 3
Let g(m) be the first derivative of -3962/9*m**3 - 3038/3*m**2 - 85 - 673/12*m**4 - 2744/3*m - 1/18*m**6 - 44/15*m**5. Factor g(u).
-(u + 1)**2*(u + 14)**3/3
Suppose -80*f - 1748 = -650*v + 653*v, -v = f + 18. Let -140/9*l - 8/3*l**2 + 2/9*l**v + 50/3 + 4/3*l**3 = 0. Calculate l.
-5, 1, 3
Let t(b) = 2727*b + 54544. Let r be t(-20). Determine q, given that 9/2*q**3 - 3/2*q**2 + 3 - 9/2*q - 3/2*q**r = 0.
-1, 1, 2
Factor -2/11*b**3 + 1682/11 + 118/11*b**2 - 1798/11*b.
-2*(b - 29)**2*(b - 1)/11
Let y(h) = -17*h**4 - 3*h**3 - 40*h**2 - 54*h + 6. Let t(q) = 3*q**4 - q**3 + q**2 + 5*q - 1. Let m(k) = -6*t(k) - y(k). Factor m(f).
-f*(f - 12)*(f + 1)*(f + 2)
Let f(a) = -251*a**2 + 21*a - 32. Let u(d) = 626*d**2 - 42*d + 65. Let c(v) = -5*f(v) - 2*u(v). Factor c(p).
3*(p - 5)*(p - 2)
Let x be ((-14)/(-2))/(1*-4) + 2. Let m(n) = -n**2 - 6*n. Let s be m(0). Factor r**2 - r + s + x*r**3 - 1/4*r**4.
-r*(r - 2)*(r - 1)*(r + 2)/4
Suppose -2*v = 4 - 28. Suppose 20 = v*f - 7*f. Let -12*z + 2*z**2 + 16*z - 6*z - f = 0. What is z?
-1, 2
Factor 12*b**2 - 45/2*b + 1/2*b**3 - 250.
(b - 5)*(b + 4)*(b + 25)/2
Let r(g) = 2*g + 6. Let v be r(-2). Factor 0*a**2 + 55*a**2 - 44*a**2 - 84 + 171*a + 3*a**3 - 101*a**v.
3*(a - 28)*(a - 1)**2
Let u be ((40/(-6))/2)/((-14)/21). Let s(p) be the third derivative of p**2 + 1/5*p**6 + 0*p**3 + 0*p + 1/105*p**7 + 8/5*p**u + 0 + 16/3*p**4. Factor s(v).
2*v*(v + 4)**3
Let s(m) = -m**2 - 5*m + 17. Let i(q) = -4*q + 21. Let t be i(7). Let r be s(t). Solve -4*j**2 + 35*j**r - 10*j**4 - 5*j**5 + 0*j**2 - 10*j**2 - 6*j**2 = 0.
-4, 0, 1
Let f(b) be the third derivative of -b**7/105 + 3*b**5/5 + 8*b**4/3 + 5*b**3 + b**2 - 3778. Factor f(j).
-2*(j - 5)*(j + 1)**2*(j + 3)
Let b(o) be the second derivative of -o**7/252 + o**6/30 + 11*o**5/30 - 5*o**4/3 - 1