6*u + 37*u + 9*u**2 + 180. Let o(h) = -2*h**2 - 26*h - 36. Let w(y) = r*o(y) + 2*m(y). Factor w(x).
-4*(x + 3)**2
Suppose 5*o = -4*q + 118, 3*o + 0*q - 81 = q. Factor g**4 + 20*g**3 - 20*g - 29*g**2 - 3*g**4 + 4 + 53*g**2 - o.
-2*(g - 11)*(g - 1)*(g + 1)**2
Let z = 715154/7 + -102164. Suppose 26/7*y**2 + z*y + 0 + 26/7*y**3 + 6/7*y**4 = 0. Calculate y.
-3, -1, -1/3, 0
Let 1082*y**2 - 7*y**3 - y**3 - 2*y**3 - 14*y**3 + 25*y**3 = 0. Calculate y.
-1082, 0
Let o(p) be the second derivative of 14*p**6/15 + 34*p**5 + 356*p**4/3 + 176*p**3/3 + 2401*p. Suppose o(v) = 0. What is v?
-22, -2, -2/7, 0
Let u(m) be the first derivative of -1/84*m**4 - 1/14*m**2 + 1/21*m**3 + 6 - 3*m. Let q(c) be the first derivative of u(c). Factor q(n).
-(n - 1)**2/7
Let o be (-1020)/(-9)*(-48)/16. Let g = o + 1363/4. Factor 5/4*q**2 + g*q**3 - 1/4*q**5 + 0 - 1/4*q**4 + 1/2*q.
-q*(q - 2)*(q + 1)**3/4
Let d(l) = 6*l**2 + 253*l - 70. Let s(u) = 17*u**2 + 508*u - 144. Let x(a) = -5*d(a) + 2*s(a). Determine w, given that x(w) = 0.
1/4, 62
Let s = 971 + -468. Find p such that -s*p - 13*p**3 + 3*p**5 + p**3 + 503*p = 0.
-2, 0, 2
Let a = -559631/5 - -111928. What is t in -12/5 + 3*t + 6/5*t**2 - a*t**3 = 0?
-4/3, 1
Let t be 18/20*120/135. Factor 8*k - 96/5 - t*k**2.
-4*(k - 6)*(k - 4)/5
Let n = 56 + -50. Suppose -14 = -4*j - n. Let -8*a - 33*a**4 - 25*a - 69*a**2 - 6 - 8*a**5 - 69*a**3 + j*a**5 = 0. What is a?
-2, -1, -1/2
Let d = -104565/4 - -26145. What is j in 9/4 - d*j + 3/4*j**2 + 3/4*j**3 = 0?
-3, 1
Let c = -149955 - -1049687/7. Solve -6/7*w**2 + 26/7*w + c*w**4 + 20/7 - 10/7*w**3 = 0.
-1, 2, 5
Let w(x) = -x**3 - 38*x**2 - 24*x - 2453. Let c be w(-39). Let 8/13*q**c + 132/13*q**2 + 136/13*q + 54/13*q**3 + 48/13 = 0. Calculate q.
-2, -3/4
Let a(x) be the first derivative of x**3/9 + 23*x**2/6 - 36*x + 504. Let a(b) = 0. Calculate b.
-27, 4
Let s(o) be the second derivative of o**7/14 + 32*o**6 - 1449*o**5/10 + 242*o**4 - 323*o**3/2 - 33*o - 26. Solve s(z) = 0 for z.
-323, 0, 1
Factor 2701/6*u**3 + 486*u + 53/3*u**4 + 1/6*u**5 - 954*u**2 + 0.
u*(u - 1)**2*(u + 54)**2/6
What is i in 1248/11*i - 6/11*i**2 + 2520/11 = 0?
-2, 210
Suppose 194/3*d**3 + 1640/3 + 1264*d - 54*d**4 + 2506/3*d**2 - 2/3*d**5 = 0. What is d?
-82, -2, -1, 5
Let i(m) = -12*m + 13. Let x be i(2). Let t be x/(66/12) + 20/6. Suppose -t*o**2 + 0 + 2/3*o + 2/3*o**3 = 0. What is o?
0, 1
Suppose 3564*u - 279 = 6849. Let 50/3*p + 625/3 + 1/3*p**u = 0. Calculate p.
-25
Let w(l) = l**3 + 4*l**2 - 5*l + 2. Let g be 3 - (-32)/(3 - 7). Let n be w(g). Suppose 4*d**3 - d**2 + 12*d**2 + d**n + 0*d + 8*d = 0. What is d?
-2, -1, 0
Suppose -1 = -2*m - 2*o + 5*o, -m - o = -3. Let x(s) = s**2 - 5412*s + 75578. Let v be x(14). Factor v + 3/2*w**m + 15/2*w.
3*(w + 1)*(w + 4)/2
Let s(q) be the second derivative of q**6/6 + q**5/4 - 5*q**4/12 - 5*q**3/6 + 52*q - 1. Solve s(c) = 0.
-1, 0, 1
Let i(h) be the first derivative of h**7/105 + 2*h**6/75 - h**5/50 - h**4/15 + 49*h - 8. Let s(w) be the first derivative of i(w). Find l, given that s(l) = 0.
-2, -1, 0, 1
Let c(l) be the second derivative of -l**6/270 + l**5/90 + 5*l**4/36 - 2*l**3/3 + 399*l. Determine y, given that c(y) = 0.
-4, 0, 3
Let l(x) be the first derivative of -x**5/110 - 13*x**4/66 + 16*x**3/11 + 17*x - 289. Let z(w) be the first derivative of l(w). Solve z(k) = 0.
-16, 0, 3
Let k(p) = 19*p - 73. Let h be k(4). Let b = 1 - -3. Factor -87*g**2 + 10*g + 1 - g**4 - g**h + 75*g**2 - b + 7*g**3.
-(g - 3)*(g - 1)**3
Suppose n = 5*i + 8, 33*n + 2*i + 17 = 38*n. Factor -1/4*s**n + 2 - 7/2*s + 7/4*s**2.
-(s - 4)*(s - 2)*(s - 1)/4
Let p(x) be the second derivative of -x**4/20 + 7*x**3/2 + 111*x**2/5 - 3*x + 37. Solve p(b) = 0.
-2, 37
Let h(l) be the second derivative of -l**5/10 - l**4/6 + 8*l**3/3 + 12*l**2 + 522*l. Suppose h(a) = 0. What is a?
-2, 3
Let p be -1*((-104)/48 + (-1)/(-6)). Suppose t - 12 + 10 = 0. Factor 36 - 4*k + t*k**3 + 2*k - p*k**2 - 34.
2*(k - 1)**2*(k + 1)
Let j(f) = 4*f - 2. Let t be j(-3). Let z(u) = u**3 + 13*u**2 - u - 13. Let b(r) = 3*r**3 + 27*r**2 - 3*r - 27. Let s(y) = t*z(y) + 6*b(y). Factor s(k).
4*(k - 5)*(k - 1)*(k + 1)
Let -5415/2*d - 1/2*d**4 - 165/2*d**3 - 1729/2*d**2 - 1925 = 0. Calculate d.
-154, -5, -1
Let u = -13637/20 - -682. Let h(f) be the second derivative of 0 + 19*f - u*f**5 - 15/2*f**2 + 1/2*f**3 + 5/4*f**4. Let h(c) = 0. What is c?
-1, 1, 5
Let p(w) = 5*w**2 + 70*w + 105. Let d(n) = n**2 - n - 1. Let m(v) = 4*v**2 - 41*v - 59. Let y(k) = -6*d(k) + m(k). Let x(a) = -3*p(a) - 5*y(a). Factor x(g).
-5*(g + 2)*(g + 5)
Let q(b) be the second derivative of 8/27*b**3 + 1/9*b**5 - 2/135*b**6 - 3*b - 8 - 8/27*b**4 + 0*b**2. Determine d, given that q(d) = 0.
0, 1, 2
Let c(z) be the second derivative of z**6/30 + 23*z**5/20 + 31*z**4/4 - 455*z**3/6 + 169*z**2 - 326*z. Find s such that c(s) = 0.
-13, 1, 2
Suppose 62/5*k**3 - 1422/5*k + 174/5*k**2 + 1188/5 - 2/5*k**4 = 0. Calculate k.
-6, 1, 3, 33
Let h be 1/((-1)/(-3)*-1) + 2. Let z(n) = 5*n + 7. Let p be z(h). Solve -8/13 - 10/13*m**p + 2/13*m**3 + 16/13*m = 0 for m.
1, 2
Let b = -280 - -282. Factor 6*h**b - 48*h - h**3 + 19*h + 17*h + 8.
-(h - 2)**3
Let k(o) be the third derivative of -o**6/90 - 3*o**5/10 - 7*o**4/3 + 67*o**3/6 - 104*o**2. Let j(u) be the first derivative of k(u). Factor j(t).
-4*(t + 2)*(t + 7)
Let f(z) be the third derivative of -1/165*z**5 + 0*z**4 - 1/660*z**6 - 14*z**2 + 0*z**3 + 2 + 0*z. What is v in f(v) = 0?
-2, 0
Let u(x) = -22*x - 159. Let d be u(-10). What is k in 64*k - 1 + 4*k**2 + 11 + 21 + d*k = 0?
-31, -1/4
Let j(c) be the third derivative of -c**6/360 - c**5/45 + 5*c**4/18 + 8*c**3/3 - 10*c**2 + 2. Find t, given that j(t) = 0.
-6, -2, 4
Let t(a) = 2*a**2 - a - 10. Let f(i) = 34*i**2 + 1446*i - 268092. Let h(w) = -2*f(w) + 36*t(w). Find o such that h(o) = 0.
366
Let a(j) be the second derivative of -j**7/63 - 163*j**6/45 - 688*j**5/3 - 3200*j**4/3 - 213*j + 8. Solve a(q) = 0.
-80, -3, 0
Let t(l) be the second derivative of 5*l**7/42 - 35*l**6/3 + 1509*l**5/4 - 3975*l**4 + 6750*l**3 - 1858*l. Determine g, given that t(g) = 0.
0, 1, 9, 30
Let t(s) be the first derivative of -1/3*s**3 - 900*s - 97 + 30*s**2. Suppose t(w) = 0. What is w?
30
Suppose -221*h + 170 = -311 + 39. What is a in 20/19 + 2/19*a**3 - 12/19*a**h + 6/19*a = 0?
-1, 2, 5
Let w be -18 + (-28)/(-4) - -6. Let z be ((-1)/w)/(7/5). Factor 3/7 + z*g**2 - 4/7*g.
(g - 3)*(g - 1)/7
Suppose -3*o + k - 57 = 0, 2*o = 5*o + k + 63. Let n be ((-2)/(-5))/((-22)/o - 1). Solve -4 + 7*x**2 + 2*x - 5*x**2 - n*x = 0.
-1, 2
Let f(g) be the first derivative of -2*g**3/15 + 273*g**2/5 + 3568. Determine p so that f(p) = 0.
0, 273
Let g = -65 + 70. Suppose 5*i - g*r = -5, r + 3 = 3*i - 2. Factor 35*b**5 - 50*b**4 + 10*b**2 - 35*b**4 - 5*b**3 + 20*b**i + 25*b**4.
5*b**2*(b - 1)**2*(7*b + 2)
Solve 99/2*k**2 + 0*k**3 - 12*k - 360 - 3/2*k**4 = 0 for k.
-5, -3, 4
Factor 5/4*v**3 + 510*v**2 + 210105/4*v + 206045/2.
5*(v + 2)*(v + 203)**2/4
Let d(i) be the second derivative of i**8/9240 - i**6/660 - i**5/330 - 11*i**3/6 + 3*i**2/2 - 9*i + 8. Let u(l) be the second derivative of d(l). Factor u(j).
2*j*(j - 2)*(j + 1)**2/11
Determine n so that -8100 + 27131*n - 144*n**4 + 17630*n**3 - 295924*n**2 - 4622*n**3 + 62167*n + 8262*n = 0.
1/6, 45
Let i = 4796 + -4790. Let r(n) be the second derivative of 0 - 1/2*n**2 + 1/3*n**3 + 1/30*n**i - 1/10*n**5 - 22*n + 0*n**4. Factor r(u).
(u - 1)**3*(u + 1)
Let u(k) be the third derivative of k**6/360 - 83*k**5/90 + 55*k**4/24 - 20*k**2 - 6*k - 4. Factor u(x).
x*(x - 165)*(x - 1)/3
Suppose -42 + 44 = c. Factor -57*w - 12*w**c + 0*w**2 + 58*w.
-w*(12*w - 1)
Let y(h) = -64*h - 328. Let p be y(-7). Let b = 120 - p. Factor -3/4*x + 3/4*x**3 + b + 0*x**2.
3*x*(x - 1)*(x + 1)/4
Let f = -344 + 338. Let j(c) = 22*c**2 + 14*c - 24. Let s(z) = 19*z**2 + 13*z - 22. Let k(q) = f*s(q) + 5*j(q). Factor k(y).
-4*(y - 1)*(y + 3)
Let y be -1 - ((-754)/(-1125))/(38/(-57)). Let n = y + 666/125. What is d in 4/3*d**3 - n*d**2 - 8/3 + 20/3*d = 0?
1, 2
Let t(q) be the third derivative of -3*q**2 + 1/420*q**7 - 7/24*q**4 - 1/40*q**5 - 25 + 0*q - 2/3*q**3 + 1/60*q**6. Factor t(w).
(w - 2)*(w + 1)**2*(w + 4)/2
Suppose 37*f - 41923 = -16*f. Let i = 791 - f. Let 0 - 1/2*m**4 + 0*m**3 + 0*m**2 + i*m + 1/2*m**5 = 