270*n - 220. Let g(q) = -2*b(q) + 7*j(q). Factor g(s).
-(s + 2)*(s + 3)**2*(s + 12)
Factor -1224*v + 184*v**2 - 157*v**2 - 31*v**2.
-4*v*(v + 306)
Let r(v) = -16*v**2 + 15703*v - 3857305. Let o(n) = 4*n**2 - 3926*n + 964326. Let x(d) = 9*o(d) + 2*r(d). Let x(a) = 0. Calculate a.
491
Let j(g) = -2*g**3 + 9*g**2 - 4*g + 5. Let h be j(4). Find z, given that 2*z + 6*z**4 + 6*z + z**5 - 6*z**2 + z - 12*z**3 + 2*z**h = 0.
-3, -1, 0, 1
Let u be -5*(-8)/25*25/10. Let s be 5 + (-10)/u*2. Solve s*v + 10 + 2*v**2 + 9 + 3*v - 24 = 0.
-5/2, 1
Let n(r) = -199*r - 10. Let o be n(-3). Let m = -1757/3 + o. Factor -16/9*v - m*v**2 + 16/9.
-4*(v + 2)*(3*v - 2)/9
Let d(c) = -68*c**2 + 712*c - 716. Let l(q) = -397*q**2 + 4273*q - 4296. Let o(p) = 35*d(p) - 6*l(p). Factor o(b).
2*(b - 358)*(b - 1)
Suppose 20*r = 5*k + 16*r, -13 = -2*k - r. Let o be 7 + 0*1/2. Suppose 3*m**2 + k*m**2 + 2*m**2 - o*m**2 = 0. What is m?
0
Let c(g) = -3*g**4 - g**3 + g**2 + g + 1. Let l(q) = 7*q**4 - 14*q**3 - 45*q**2 + 128*q - 74. Let v(f) = 2*c(f) + l(f). Find b such that v(b) = 0.
-4, 1, 18
Let w(i) be the first derivative of 98 - 1/14*i**4 - 8/21*i**3 - 1/7*i**2 + 12/7*i. Find b such that w(b) = 0.
-3, -2, 1
Let u be (-29)/(551/(-1)) - (-12835)/171. Solve u*y**2 + 64/9 - 416/9*y = 0 for y.
4/13
Let q = 103 + -74. Let o = -12 + q. Factor 2*y**2 + o*y**3 - 37*y**3 + 9*y**3.
-y**2*(11*y - 2)
Let l(c) be the third derivative of -c**5/180 - 55*c**4/72 + 19*c**3/3 + 2175*c**2. Determine w, given that l(w) = 0.
-57, 2
Let n be (-11)/50*-5*(-6912)/(-2376). Let d = 141/5 + -28. Suppose 0 - 4/5*s - d*s**3 + 21/5*s**4 - n*s**2 = 0. Calculate s.
-2/3, -2/7, 0, 1
Let k(r) be the second derivative of 11*r**4/18 + 250*r**3/3 + 136*r**2/3 + 8*r + 9. Solve k(s) = 0.
-68, -2/11
Let x(q) be the second derivative of -q**6/720 - 5*q**5/48 - q**4/2 - 28*q**3/3 - 31*q. Let k(l) be the second derivative of x(l). Solve k(w) = 0 for w.
-24, -1
Suppose -72 + 72 = -6*r. Factor r + 3*l + 6*l**4 + 0 - 9*l**4 + 3*l**2 - 3*l**3.
-3*l*(l - 1)*(l + 1)**2
Let c = -15146 + 30297/2. Solve -3*z - 5/2*z**2 + 1/2*z**5 + 0 + 5/2*z**4 + c*z**3 = 0.
-3, -2, -1, 0, 1
Let i be 4482/3486 - (130/35 - 3). Find n, given that -26/7*n**4 + 22/7*n**2 - 30/7*n**3 + 30/7*n + i = 0.
-1, -2/13, 1
Let z be (-8 - -1)*81/((-14742)/260). Let b(t) be the first derivative of -1/4*t**4 + z + 0*t**3 + 6*t + 7/2*t**2. Factor b(s).
-(s - 3)*(s + 1)*(s + 2)
Let u(k) = 3*k**2 - k + 1. Let g(h) = 2*h**2 + 175*h - 174. Let m(l) = -g(l) + u(l). Factor m(x).
(x - 175)*(x - 1)
Let n(y) be the third derivative of 1/540*y**5 + 0*y**3 + 5*y**2 + 0*y + 0 + 1/216*y**4. Determine b so that n(b) = 0.
-1, 0
Suppose 5*t = -54 - 1. Let s(v) = -v**3 - 10*v**2 + 11*v + 2. Let h be s(t). Factor -117*p**4 + 58*p**4 - 4*p + h*p**5 + 2*p**3 - 6*p**2 + 65*p**4.
2*p*(p - 1)*(p + 1)**2*(p + 2)
Solve 469 + 288*a + 337*a - 367*a - 63*a**2 + 323 - a**3 + 4*a**3 = 0.
-2, 11, 12
Let b(k) be the second derivative of k**4/6 + 47*k**3/3 - 708*k**2 + 72*k + 5. Suppose b(y) = 0. Calculate y.
-59, 12
Let a(r) = -4*r**2 + 16. Let o(h) = -h**2 + h - 1. Let u(f) = -a(f) - 12*o(f). Let c(n) = -n - 3*n**2 + 2*n**2 + 2*n. Let m(k) = -20*c(k) - u(k). Factor m(s).
4*(s - 1)**2
Let x be 5/16 + 4758/25376. Determine s, given that -2*s**3 + 7/4*s + 1/4*s**5 + 1/2*s**4 + x*s**2 - 1 = 0.
-4, -1, 1
Factor 1/2*v**2 - 397/2*v + 0.
v*(v - 397)/2
Let c(s) be the first derivative of 2*s**5/95 + 15*s**4/38 + 32*s**3/19 + 44*s**2/19 + 4391. Factor c(m).
2*m*(m + 2)**2*(m + 11)/19
Let g = -373 + 376. Let c(w) be the first derivative of 15 - 56/9*w**g + 5/3*w**5 + 0*w - 55/12*w**4 - 2*w**2. Factor c(o).
o*(o - 3)*(5*o + 2)**2/3
Let c(y) be the first derivative of 0*y**2 + 2/5*y**5 + 70 - 1/10*y**4 - 2/3*y**3 + 1/15*y**6 + 0*y. Let c(n) = 0. What is n?
-5, -1, 0, 1
Suppose 5*r - 4*n = -1 + 3, -4*r = n - 10. Suppose -r*x + 44 = -6. Factor 60*t**2 - 10 - 77*t - 24*t**3 + x + 27*t + 5*t**4 - 6*t**3.
5*(t - 3)*(t - 1)**3
Suppose -7*v - 42 + 210 = 0. Let z(h) = h**3 - h**2 - h + 1. Let y(f) = 20*f**3 - 16*f**2 - 12*f + 24. Let w(o) = v*z(o) - y(o). Factor w(i).
4*i*(i - 3)*(i + 1)
Suppose 136 + 150 = -13*u. Let y be (-24 - u)/(-1*16/18). Factor 3 - 3/4*v**2 + y*v.
-3*(v - 4)*(v + 1)/4
Suppose -11*u = -10*u - 44. Let i be 2 - (-96)/u - 4/22. Factor -6*n + 4*n**5 + 4*n**4 + 14*n**i + 8*n**2 + 26*n**3 - 1 + 2*n**2 - 3.
2*(n + 1)**3*(n + 2)*(2*n - 1)
Suppose 2*i + 1085 = 125. Let x be (-112)/i + (-1)/(-6). Factor -6/5*a + 0*a**2 + x*a**3 + 4/5.
2*(a - 1)**2*(a + 2)/5
Let s(h) be the second derivative of 4*h**4 + 0*h**2 - 1/5*h**5 - 73*h + 0 - 40/3*h**3. Suppose s(d) = 0. Calculate d.
0, 2, 10
Let v(b) be the third derivative of -b**8/112 - 179*b**7/70 + 361*b**6/40 - 181*b**5/20 - 282*b**2 - 4. Let v(w) = 0. Calculate w.
-181, 0, 1
Let i(a) = 5*a**2 - 73*a - 26. Let g be i(15). Factor 0*j - 383*j**4 - 3*j**3 - 3*j**2 + 382*j**g - j.
-j*(j + 1)**3
Let b(s) be the first derivative of s**4/10 - 74*s**3/15 - s**2/5 + 74*s/5 + 764. What is x in b(x) = 0?
-1, 1, 37
Let x be (-1)/(-1*2/4). Factor 5*c**2 + 32*c**3 - 15*c - x*c - 17*c**3 + 20 - 23*c.
5*(c - 1)*(c + 2)*(3*c - 2)
Factor -673/4*d**2 - 1/4*d**4 - 525/4*d - 51/4*d**3 + 625/2.
-(d - 1)*(d + 2)*(d + 25)**2/4
Let w be 22/(-1) - (-264 - -240). Factor -16/7*u + 12/7*u**w + 4/7*u**3 - 48/7.
4*(u - 2)*(u + 2)*(u + 3)/7
Factor 189*k - 1/4*k**4 - 243 + 6*k**3 - 207/4*k**2.
-(k - 9)*(k - 6)**2*(k - 3)/4
Let z = -2 - 5. Let j be (-37)/z + 2/(-7). Let 1 + t**j + 3*t**2 - 4*t**2 + 3*t**2 - 3*t**4 + 2*t**3 + 34*t - 37*t = 0. Calculate t.
-1, 1
Factor -42/13*f**2 + 2/13*f**3 + 144/13*f - 136/13.
2*(f - 17)*(f - 2)**2/13
Let l(w) be the first derivative of -27 + 1/10*w**5 - 8*w + 0*w**2 + 0*w**3 + 1/6*w**4. Let y(b) be the first derivative of l(b). Factor y(x).
2*x**2*(x + 1)
Let x(v) be the third derivative of -1/84*v**5 + 1/1260*v**6 + 13*v**2 + 0*v + 5/2*v**3 + 1/21*v**4 + 0. Let i(u) be the first derivative of x(u). Factor i(c).
2*(c - 4)*(c - 1)/7
Let q(m) = -20*m**3 + 400*m**2 - 1240*m - 1600. Let j(d) = 5*d**3 - 101*d**2 + 310*d + 400. Let y(o) = -15*j(o) - 4*q(o). Determine r, given that y(r) = 0.
-1, 8, 10
Suppose 4*v - 19 + 7 = 0. Factor -13*t**v + 9*t**4 - 4*t**4 + 30*t**2 - 12*t**3.
5*t**2*(t - 3)*(t - 2)
Let c(b) = 24*b**3 + 848*b**2 - 1912*b + 1052. Let p(u) = 49*u**3 + 1697*u**2 - 3826*u + 2103. Let f(t) = -23*c(t) + 12*p(t). Factor f(m).
4*(m - 1)*(m + 26)*(9*m - 10)
Let s(u) be the second derivative of 161*u - 13/50*u**5 + 0*u**2 + 0 + 14/15*u**4 - 4/15*u**3. Let s(x) = 0. What is x?
0, 2/13, 2
Let t(d) be the third derivative of -67*d**2 + 5/21*d**4 + 1/105*d**5 + 0 + 16/7*d**3 + 0*d. Factor t(g).
4*(g + 4)*(g + 6)/7
Let s be ((-2)/(30/9))/(1/5). Let u be ((-36)/9)/(7/s - -1). Solve 2/9*o**5 - 4/9*o**2 - 2/9 + 2/3*o**4 - 2/3*o + 4/9*o**u = 0 for o.
-1, 1
Suppose 3*p = 2*k - 12, -13*k - 16*p = -7*k + 14. Factor 115/4*a + 25/4 + a**4 + 51/4*a**2 - 35/4*a**k.
(a - 5)**2*(a + 1)*(4*a + 1)/4
Let w(l) be the third derivative of -l**6/24 + 155*l**5 - 240250*l**4 + 595820000*l**3/3 - 2294*l**2. Factor w(p).
-5*(p - 620)**3
Let m(h) be the third derivative of -h**7/2520 - h**6/540 + h**5/90 + h**4/9 + 29*h**3/3 - 2*h**2 - 1. Let v(b) be the first derivative of m(b). Factor v(w).
-(w - 2)*(w + 2)**2/3
Let x(n) = -3*n - 53. Let r(k) = -k - 18. Let m(d) = 8*r(d) - 3*x(d). Let t be m(-10). Suppose -t*l**4 - 3*l**5 - 5*l**5 + 3*l**5 = 0. Calculate l.
-1, 0
Let l be 13 + -10 - (2 + -2). Let s(h) = -2*h**3 + 21*h**2 + 51*h + 32. Let f(j) = -8*j**3 + 106*j**2 + 254*j + 160. Let v(a) = l*f(a) - 14*s(a). Factor v(u).
4*(u + 2)**3
Let v(g) = 2 - 19*g - 3 + 17 + g**2. Let j be v(19). Factor 16*u + 3*u**2 + 2*u**2 + j - 2*u**2 + u**2.
4*(u + 2)**2
What is n in 60*n**4 + 6*n**5 - 5125*n**2 - 2*n**5 + 4837*n**2 - 232*n**3 = 0?
-18, -1, 0, 4
Let p be -718 + 706 + 2088/5. Find c such that 3/5*c**3 + 153/5*c**2 - p + 1872/5*c = 0.
-26, 1
Let n(v) be the third derivative of -v**6/12 + 1089*v**5/4 - 277780*v**4 - 3337445*v**3/6 - 3261*v**2. Factor n(k).
-5*(k - 817)**2*(2*k + 1)
Let 2/17*t**2 - 8 - 26/17*t = 0. Calculate t.
-4, 17
Let x(o) be the third derivative of -o**6/180 + 77*o**5/90 + 104*o**4/9 - 164*o**3/3 + 7278*o**2. Determine c so that x(c) = 0.
-6, 1, 82
Let m(s) be the fi