 1044*v. Factor u(b).
2*b**3*(b - 6)*(b + 1)/9
Let d(w) = -15*w**3 - 60*w**2 - 84*w + 591. Let a(z) = -8*z**3 - 29*z**2 - 40*z + 295. Let q(s) = 9*a(s) - 5*d(s). Factor q(y).
3*(y - 2)*(y + 5)*(y + 10)
Let g be -1 - (-12)/(-9) - (-56)/(2240/360). Solve -35/3 - 35*x**3 - 25*x + 235/3*x**2 - g*x**4 = 0 for x.
-7, -1/4, 1
Suppose r = 2, -4*r + 0 = -3*n - 2. Let u be (-13 + 88)/15 + (-2 - 0). Suppose -47*m**n + 1 + m + 45*m**2 - m**u + 1 = 0. Calculate m.
-2, -1, 1
Let x(g) = -g**2 + 24*g + 6100. Let l be x(-67). Determine v, given that -19/5*v**2 + 1/5*v**l + 7*v - 17/5 = 0.
1, 17
Let o be 10/40 - (-3 - ((-21032)/608)/11). Suppose -4/19 + 6/19*y - o*y**2 = 0. Calculate y.
1, 2
Let x = -38037/8 + 116671/24. Find h such that x*h**2 - 61/3*h + 1 - 100/3*h**3 = 0.
1/10, 3
Let d(m) be the third derivative of m**5/30 + 63*m**4/4 - 175*m**2 + 1. Factor d(y).
2*y*(y + 189)
Let q(v) be the first derivative of 0*v - 1/6*v**3 - 14*v**2 - 18 - 3/32*v**4 - 1/40*v**5 - 1/480*v**6. Let x(g) be the second derivative of q(g). Factor x(u).
-(u + 1)**2*(u + 4)/4
Let f be 10014/441 - ((-208696)/(-3724) + -56). Suppose -13/3*o**4 - 17/3*o**3 + f*o + 28/3 + 37/3*o**2 + 1/3*o**5 = 0. What is o?
-1, 2, 14
Let o(t) be the third derivative of -1/24*t**6 + 0 - 22*t**2 + 20/3*t**3 + 25/12*t**4 + 0*t + 1/12*t**5. Find v, given that o(v) = 0.
-2, -1, 4
Let i(q) = -9*q**4 - 19*q**3 - 50*q**2 + 8. Let s(o) = -20*o**4 - 37*o**3 - 102*o**2 + 18. Let b(t) = 9*i(t) - 4*s(t). Factor b(r).
-r**2*(r + 2)*(r + 21)
Let w(t) be the third derivative of -79*t**2 + 1/6*t**4 + 1/70*t**7 + 0 - 1/120*t**6 + 0*t**3 - 1/5*t**5 + 0*t. Determine b, given that w(b) = 0.
-2, 0, 1/3, 2
Let x be 6/(-4)*1162/(-249). Factor 8*v**2 + 6*v**2 - 19*v**2 + x*v**2 - 10*v.
2*v*(v - 5)
Let z(t) = -t**3 - t**2 + t + 1. Let y(w) = w**5 - 10*w**4 - 63*w**3 + 20*w**2 + 256*w + 4. Let l(n) = -y(n) + 4*z(n). Determine i, given that l(i) = 0.
-3, 0, 2, 14
Let n be 9/45 + (-28)/(-10). Factor 37*u**4 + 3*u**5 - 60*u**3 - 10*u**4 + 33*u**2 - 3*u**n.
3*u**2*(u - 1)**2*(u + 11)
Find b, given that -27/5*b + 37/5*b**2 - b**4 - 9/5*b**3 + 4/5 = 0.
-4, 1/5, 1
Let x(u) be the second derivative of 28/9*u**3 - 34/9*u**2 + 5/108*u**4 + 3*u - 24. Factor x(n).
(n + 34)*(5*n - 2)/9
Suppose 1/6*w**5 + 64 - 2*w**2 - 22/3*w**3 - 1/2*w**4 + 152/3*w = 0. What is w?
-4, -2, 3, 8
Let g(n) be the first derivative of -n**5/20 + 97*n**4/8 + n**3/12 - 97*n**2/4 + 6448. Let g(y) = 0. Calculate y.
-1, 0, 1, 194
Let l(u) = -10*u + 352. Let g be l(35). Factor -7284 - 449*s - 215*s - 5889 - 14383 - 4*s**g.
-4*(s + 83)**2
Let d(n) = 4*n**3 + n**2 + 10*n - 7. Let u(l) = l**3 - l**2 + l - 1. Let s(y) = 7*y**2 + 48*y - 3. Let o be s(-7). Let c(k) = o*d(k) - 28*u(k). Factor c(r).
-4*r*(r - 3)*(3*r + 1)
Find m such that -39091*m**2 - 547596*m**2 - 768197*m**2 - 1345600 - 2*m**4 - 3*m**4 + m**4 + 4648*m**3 + 2695840*m = 0.
1, 580
Let r(x) = x**3 + 2*x**2 - 1. Let n(j) = -21*j**2 - 23*j - 10. Let z(l) = l**3 + l. Let a(i) = n(i) - 4*z(i). Let o(u) = a(u) + 3*r(u). Factor o(q).
-(q + 1)**2*(q + 13)
Solve 3/4*i**3 + 33/4*i + 1/4*i**4 - 23/4*i**2 - 7/2 = 0 for i.
-7, 1, 2
Suppose n - 21 = -3*j, -2*n = -135*j + 140*j - 39. Determine q so that -1/2*q**2 + 2*q - 5/6*q**j - 2/3 = 0.
-2, 2/5, 1
Let q be 0*2/4*(-3)/12. Let w(o) = -2*o + q*o**4 - o**4 + 6*o**4 - 3*o**2. Let k(j) = j**4 - j**2. Let h(p) = -6*k(p) + w(p). Factor h(g).
-g*(g - 1)**2*(g + 2)
Let o(k) be the third derivative of -k**6/540 + 4*k**5/45 - 7*k**4/36 - 46*k**3/27 + k**2 - k. Factor o(w).
-2*(w - 23)*(w - 2)*(w + 1)/9
Let o(x) = -13*x**2 + 327*x + 1. Let y(f) = 14*f**2 - 2*f - 1. Let d(q) = o(q) + y(q). What is v in d(v) = 0?
-325, 0
Let t(i) = -32*i**4 - 46*i**3 - 434*i**2 + 2058*i - 2172. Let a(f) = 102*f**4 + 139*f**3 + 1303*f**2 - 6173*f + 6518. Let m(j) = 6*a(j) + 19*t(j). Factor m(k).
4*(k - 15)*(k - 2)**2*(k + 9)
Factor 129 - 12*w + 115 + 2*w**2 + 127 - 387 + 2*w**2.
4*(w - 4)*(w + 1)
Suppose 2*r = u + 1 + 6, -5*u = r - 20. Let y be 1*((2 - -6) + -5). Suppose -y*h**2 + 328*h**3 + u*h**4 - 316*h**3 - 12*h**4 = 0. Calculate h.
0, 1/3, 1
Solve -61*f**4 + 22*f**5 + 21*f**4 - 27*f**5 = 0 for f.
-8, 0
Let d be (-7285)/(-1410) + 51/(-18). Determine n so that 0*n**4 + 0 + 2*n**2 + 0*n - 1/3*n**5 + d*n**3 = 0.
-2, -1, 0, 3
Let g = -290319 + 290325. Find y such that -1/3*y**2 - 17/3 - g*y = 0.
-17, -1
Factor 4*d**3 + 10482*d - 69*d**2 - 156 - 10254*d - 7*d**3.
-3*(d - 2)*(d - 1)*(d + 26)
Let y(i) be the first derivative of -i**4/6 + 100*i**3/9 + 53*i**2/3 - 68*i - 820. Factor y(g).
-2*(g - 51)*(g - 1)*(g + 2)/3
Let m = -245 + 255. What is k in 26*k**3 + 7*k - 3*k**5 - m*k - 20*k**3 = 0?
-1, 0, 1
Let x be (-4)/(-22) + (45680/44)/10. Let l = 106 - x. Suppose -14*q**3 + 44/5*q**l + 5*q**4 - 8/5*q + 0 = 0. What is q?
0, 2/5, 2
Suppose u = n - 3 - 12, -35 = -2*n + 3*u. Let j be (4 + (-208)/40)*n/(-6). Factor 0*r**j + 8/11*r - 2/11*r**3 + 0.
-2*r*(r - 2)*(r + 2)/11
Let n(t) = 14*t**2 - 42360*t + 12088. Let i(s) = 182*s**2 - 550664*s + 157144. Let o(l) = 3*i(l) - 38*n(l). Factor o(p).
2*(p - 3022)*(7*p - 2)
Let n(d) be the third derivative of d**8/588 - 12*d**7/245 + 31*d**6/70 - 16*d**5/21 - 32*d**4/7 + 533*d**2 - 2. Determine x, given that n(x) = 0.
-1, 0, 3, 8
Solve 0*m + 0 + 3/7*m**4 + 33/7*m**2 - 36/7*m**3 = 0.
0, 1, 11
Let y(q) be the first derivative of 4*q**5/15 - 86*q**4/3 + 2348*q**3/3 + 7568*q**2/3 + 7744*q/3 + 9646. Factor y(h).
4*(h - 44)**2*(h + 1)**2/3
Suppose y - 10 = -5. Let j = 172 + -5. Suppose -j*b**2 - 5*b**3 + 3*b**5 + 172*b**2 + 2*b**5 - y*b**4 = 0. Calculate b.
-1, 0, 1
Let l(j) be the first derivative of -j**5 + 20/3*j**3 + 0*j**4 - 1/6*j**6 + 175 + 0*j + 8*j**2. Find a, given that l(a) = 0.
-4, -2, -1, 0, 2
Let v(b) be the first derivative of -b**3/4 - 513*b**2/8 + 1794*b - 13802. Find a such that v(a) = 0.
-184, 13
Factor -1892/13*p - 2/13*p**2 + 1894/13.
-2*(p - 1)*(p + 947)/13
Let y(x) be the second derivative of x**5/20 + x**4 + 3*x**3/2 - 10*x**2 - 13*x. Let r be y(-11). Solve 6*q**2 - 4 + q + 0*q**2 - 2*q**r + 5*q = 0 for q.
-2, 1/2
Suppose 228 = 4*p - 2*k, p + k - 9 - 42 = 0. Suppose p*t**2 - t**3 + 240 - 4*t**3 - 195 - 95*t = 0. What is t?
1, 9
Let q(z) be the first derivative of 87 + 1/2*z**4 - 9/7*z**6 + 8/21*z**3 + 0*z**2 + 0*z - 48/35*z**5. Find g such that q(g) = 0.
-1, -1/3, 0, 4/9
Let r(l) be the first derivative of l**5 + 55*l**4/4 + 40*l**3/3 - 50*l**2 + 1584. Find z such that r(z) = 0.
-10, -2, 0, 1
Let u(o) be the first derivative of -97 - 1/4*o**3 - 7/16*o**4 + 1/20*o**5 + 7/2*o + 19/8*o**2. Factor u(x).
(x - 7)*(x - 2)*(x + 1)**2/4
Solve 735/4*n + 363*n**3 - 75/4 - 528*n**2 = 0.
5/22, 1
Let m be (-1 + 41/27)*9. Factor 2/3*h**2 + 20/3 + m*h.
2*(h + 2)*(h + 5)/3
Let s(f) be the first derivative of -3*f**3 - 53 + 24*f - 3/4*f**4 + 9*f**2. Determine u so that s(u) = 0.
-4, -1, 2
Factor 187*v + 3*v**2 - 31*v**2 - 27*v**2 - v**3 - 5*v**2 - 303*v.
-v*(v + 2)*(v + 58)
Let b(w) = w**3 - 23*w**2 + 17*w + 21. Let i be b(23). Factor 144 - i*a + 1042*a**2 + 402*a**2 - 500*a.
4*(19*a - 6)**2
Let d(z) = z**2 + z - 1. Let k(b) = 5*b**2 - 23*b + 31. Let y(s) = d(s) - k(s). Factor y(f).
-4*(f - 4)*(f - 2)
Let j be (-4)/10 + ((-14)/(-10) - 0). Suppose -q = c + j, -c + 5*q = -11 - 18. Factor 0*z**2 + 0*z**2 - 8*z**4 + 33*z**3 - c*z - 21*z**3.
-4*z*(z - 1)**2*(2*z + 1)
Let d(h) be the third derivative of -h**5/100 + 821*h**4/120 + 137*h**3/15 + 2634*h**2. Let d(k) = 0. What is k?
-1/3, 274
Suppose -5*x + 50 = 3*z - 8*z, 5*x - z - 54 = 0. Suppose -2*v - 5 = -x. Suppose 6*l**4 + 13*l**4 - 6*l**v + 8*l**4 = 0. What is l?
0, 2/9
Let p = 88590 + -265766/3. Let -34*m**4 - 106/3*m**3 - p*m**2 + 0*m + 0 = 0. Calculate m.
-1, -2/51, 0
Suppose 0 = 10*t - 170 - 80. Let o(u) = -u**2 + 302*u + 4500. Let m(l) = 15*l**2 - 3625*l - 54000. Let g(r) = t*o(r) + 2*m(r). Find f, given that g(f) = 0.
-30
Factor 1/4*o**5 + 1/4*o**3 + 0 - 3/4*o**2 + 3/4*o**4 - 1/2*o.
o*(o - 1)*(o + 1)**2*(o + 2)/4
Suppose -34/11*w**2 - 2/11*w**3 + 258/11*w - 414/11 = 0. What is w?
-23, 3
Let x(i) be the third derivative of i**7/42 + 5*i**6/4 - i**5/12 - 25*i**4/4 - i**2 + 310. Determine h, given that x(h) = 0.
-30, -1, 0, 1
Factor -11028*m - 5742*m - 380*m**2 - 253*m**2 - 273*m**2 + 61*m**2 - 83205.
-5*(13*m + 129)