*3 - 52*w**5.
2*(w - 1)**3*(w + 1)**2
Let w(g) be the first derivative of 70/9*g - 123 - 4*g**2 + 2/27*g**3. Let w(m) = 0. What is m?
1, 35
Let c = 184828 - 739285/4. Factor -3/4*q**2 - c*q - 6.
-3*(q + 1)*(q + 8)/4
Let q(o) be the third derivative of -1/540*o**6 - 5 + 4*o**2 + 5/27*o**3 + 7/270*o**5 + 0*o - 11/108*o**4. Factor q(i).
-2*(i - 5)*(i - 1)**2/9
Let -4*q**3 + 1476*q - 7575 - 415*q**2 + 6835 - 317*q**2 = 0. What is q?
-185, 1
Let n = -290698 + 290698. Find f such that -2/3*f**4 + f**2 + 0 + n*f - 1/6*f**5 - 1/6*f**3 = 0.
-3, -2, 0, 1
Factor 108*d**2 - 101 + 751*d**3 + 705*d + 1091 + 53*d**2 - 746*d**3 - 21*d**2.
5*(d + 3)**2*(d + 22)
Let h = -177117 - -177119. Solve -60/11 - 8/11*r**h + 86/11*r = 0 for r.
3/4, 10
Suppose -1854*h**3 + 12309*h**2 + 14882*h + 154*h**4 + 7020 - 37058*h - 83*h**4 - 86*h**4 = 0. Calculate h.
-130, 2/5, 3
Let z(k) be the second derivative of -k**7/14 + 47*k**6/2 - 3459*k**5/20 + 681*k**4/4 + 1035*k**3 + 2*k + 1098. Suppose z(h) = 0. What is h?
-1, 0, 3, 230
Let o(p) be the second derivative of -p**7/28 + 79*p**6/80 - 9*p**5/4 - 115*p**4/32 + 31*p**3/4 + 27*p**2/4 - 4*p + 123. Solve o(l) = 0.
-1, -1/4, 1, 2, 18
Suppose -3*n = a - 14, 3*n - 4*a - 231 = -227. Let w(s) be the third derivative of 0*s + 1/16*s**n + 0 + 1/120*s**5 - 22*s**2 + 0*s**3. Solve w(l) = 0.
-3, 0
Let g(w) be the second derivative of -w**4/3 + 458*w**3/3 + 460*w**2 + 3453*w. Find t such that g(t) = 0.
-1, 230
Let j be 6/(-24)*-3*(2/10 - -1). Let h(w) be the first derivative of j*w**4 - 3/25*w**5 + 6 - 12/5*w - 13/5*w**3 + 18/5*w**2. Factor h(b).
-3*(b - 2)**2*(b - 1)**2/5
Suppose 3*t - 65 = -11. Let i = 329 + -327. Solve -20*g**i + 12*g**3 - t*g**3 + 5*g**4 + 12*g**3 + 9*g**3 = 0 for g.
-4, 0, 1
Let o be (-116 - -116)/((9 + 41)/10). Find l such that -18/5*l**3 - 14/5*l**2 - 2/5*l**5 + 4*l + o + 14/5*l**4 = 0.
-1, 0, 1, 2, 5
Let w(u) be the second derivative of u**7/84 + 11*u**6/30 + 119*u**5/40 + 109*u**4/12 + 10*u**3 + 3*u + 1481. Suppose w(r) = 0. What is r?
-15, -4, -2, -1, 0
Find c, given that 105/2*c**2 + 1/2*c**3 - 53*c + 0 = 0.
-106, 0, 1
Let h = 1434 - 368. Let g be h/492*4/39. Factor -2/9*l**2 - g*l + 4/9.
-2*(l - 1)*(l + 2)/9
Factor -337 + 516 - 351 + 176*a - 2*a**2 - 2*a**2.
-4*(a - 43)*(a - 1)
Let w(j) be the first derivative of 4*j**2 + 57 - 2*j**4 + 4*j + 0*j**3 - 4/5*j**5. Factor w(h).
-4*(h - 1)*(h + 1)**3
Let w(p) = 13*p**2 - 7841*p + 7666. Let a(i) = 23*i**2 - 15681*i + 15361. Let u(t) = 6*a(t) - 11*w(t). Let u(h) = 0. What is h?
-1568, 1
Let q(r) be the second derivative of -r**5/70 + 277*r**4/42 - 920*r**3 + 19044*r**2/7 - 2578*r. Find n, given that q(n) = 0.
1, 138
Let v be (24/(-28))/((-5)/35). Let j be 0*(v + 78/(-12))*-1. Factor j + 6/7*b**3 + 9/7*b**2 + 1/7*b**4 + 4/7*b.
b*(b + 1)**2*(b + 4)/7
Suppose -98*i = -31*i - 201. Let j(d) be the third derivative of 13*d**2 - 1/8*d**4 + 1/6*d**i + 1/20*d**5 + 0*d + 0 - 1/120*d**6. Find o, given that j(o) = 0.
1
Let p(m) be the second derivative of -m**4/114 - 43*m**3/57 - 156*m**2/19 - 3*m - 1652. Factor p(v).
-2*(v + 4)*(v + 39)/19
Let n(q) = -2*q**3 + 6*q**2 + 4 + 69*q - 124*q + 75*q. Let i(x) = -3 - 7*x**2 - 2*x**3 - 19*x + 3*x**3 + 0*x**3 - 2. Let c(d) = 4*i(d) + 3*n(d). Factor c(p).
-2*(p + 1)*(p + 2)**2
Let k(o) = -o**3 + 28*o**2 + o - 19. Let r be k(28). Let v = r + -7. Factor 57*d**3 - 62*d**3 + 67*d + 3*d + 7*d**v + 18*d**2.
-5*d*(d - 7)*(d + 2)
Let k(o) = -4*o**3 + 856*o**2 - 788*o - 32. Let d(l) = -l**3 + 171*l**2 - 158*l - 6. Let c(u) = 16*d(u) - 3*k(u). Solve c(f) = 0 for f.
0, 1, 41
Suppose 0 = 86*s + 2 - 174. Let z(x) be the third derivative of 0*x + 0 + 9*x**s + 1/30*x**5 + 1/12*x**4 + 0*x**3. Factor z(o).
2*o*(o + 1)
Let k(w) = -34*w - 113. Let s(i) = 30*i + 112. Let y(a) = -4*k(a) - 5*s(a). Let u be y(-8). Factor -3/2*c**2 - 3/2*c**u - 3*c**3 + 0*c + 0.
-3*c**2*(c + 1)**2/2
Suppose 4*y + 210 = -5*d, -3*y + 0*y = 0. Let f be 12/(-9)*d/77. Let f + 2/11*u**2 + 8/11*u = 0. Calculate u.
-2
Let h(z) be the second derivative of 26/3*z**3 + 20*z**2 - z**5 + 39*z + 0 - z**4 + 2/15*z**6. Factor h(i).
4*(i - 5)*(i - 2)*(i + 1)**2
Let x(z) be the first derivative of 5*z**3/3 - 7160*z**2 + 10253120*z + 1068. Solve x(s) = 0 for s.
1432
Factor -3920/3 - 1169/3*a - 94/3*a**2 - 1/3*a**3.
-(a + 7)**2*(a + 80)/3
Let t = 4679 + -14035/3. Factor -t*w**2 + 20/3*w + 0.
-2*w*(w - 10)/3
Let f(u) be the first derivative of u**4/16 - 7*u**3/12 + 15*u**2/8 - 9*u/4 + 109. Factor f(a).
(a - 3)**2*(a - 1)/4
Factor 16*z**3 + 87*z - 208*z - 8*z**2 - 340 + z**4 - 25*z**2 - 171*z.
(z - 5)*(z + 2)**2*(z + 17)
Let l(n) be the first derivative of -6*n - 3/16*n**4 - 3/4*n**2 + 5/4*n**3 - 71. Determine s so that l(s) = 0.
-1, 2, 4
Let v = -315 + 326. Suppose 12 = 4*q + 15*c - v*c, -3*q - 5*c + 9 = 0. Let 0*u - 2/7*u**4 - 4/7*u**q + 0 - 2/7*u**2 = 0. What is u?
-1, 0
Let k = 680 - 656. Let g be (76/k)/(-19) + 165/18. What is w in 6*w + 6*w**3 - 3/2 - 3/2*w**4 - g*w**2 = 0?
1
Let s(q) = -q**2 + 2930*q - 429245. Let r(f) = 2*f**2 - 2930*f + 429245. Let o(h) = 4*r(h) + 3*s(h). Factor o(z).
5*(z - 293)**2
Let l(x) = -x + 4. Let z be l(1). Suppose 0 = 34*d - 67*d + 297. Solve -d + 1/3*b**3 + 9*b - z*b**2 = 0.
3
Let l(v) = -8*v - 8. Let j be l(-2). Let f be (-3)/6*j - 16*-1. Factor -28*w**2 + f*w + 55*w**4 + 21*w**3 - 59*w**4 - w**3.
-4*w*(w - 3)*(w - 1)**2
Let m be ((-56)/7 - -79387) + -3. Factor 79504*n**2 + 343*n + 4*n**4 - m*n**2 + 169*n - 56*n**3.
4*n*(n - 8)**2*(n + 2)
Let u(v) be the second derivative of 3*v**5/20 - 51*v**4/4 + 531*v**3/2 - 1443*v**2/2 + 189*v + 1. Factor u(z).
3*(z - 37)*(z - 13)*(z - 1)
Let s(o) = -o**3 + 8*o**2 + 8*o + 11. Let c be s(9). Suppose -2*x**2 - x**c + 20 - 3*x**2 + x**2 = 0. What is x?
-2, 2
Let j be (-6 + 1 + 4)*-1. Let m be (j*(-3)/7)/((-145)/1015). Determine g so that -6/11*g**2 + 6/11*g**4 - 4/11*g**m + 4/11*g + 0 = 0.
-1, 0, 2/3, 1
Let f(c) = -135*c - 13. Let p(h) = -65*h - 6. Let d(k) = 6*f(k) - 13*p(k). Let g(a) = -a**2. Let r(n) = -d(n) - 30*g(n). What is q in r(q) = 0?
0, 7/6
What is j in 80*j**4 - 76*j**4 + 104*j**2 - 76*j - 4219 + 4*j**5 - 56*j**3 + 4239 = 0?
-5, 1
Let o(y) be the first derivative of -2*y**4/7 - 220*y**3/21 - 14*y**2 + 424*y/7 - 746. Let o(i) = 0. Calculate i.
-53/2, -2, 1
Let r(g) = -10*g**3 - 152*g**2 - 1432*g - 6. Let t(p) = 21*p**3 + 304*p**2 + 2862*p + 13. Let k(h) = -13*r(h) - 6*t(h). Factor k(o).
4*o*(o + 19)**2
Let q(g) be the second derivative of g**7/210 + g**6/15 + g**5/6 - 2*g**4 - g**3/3 + 7*g**2/2 - 6*g. Let t(j) be the second derivative of q(j). Factor t(x).
4*(x - 1)*(x + 3)*(x + 4)
Suppose 0 = -4*o - x + 75, -5*x + 23 = 5*o - 67. Let -u**3 + 8*u - 28*u**4 + 19 - 12*u**2 - 47*u**3 - o = 0. What is u?
-1, 0, 2/7
Let a(j) = j**3 + 17*j**2 - 19*j - 11. Let n = -11 - 7. Let h be a(n). Factor m**2 - 6*m**2 + 1 - 17*m - 6 + h*m.
-5*(m + 1)**2
Let y(b) = 3*b - 12. Let a be y(15). Suppose -2*i + 9 = -i + o, -2*i + a = 5*o. Suppose -13*f**3 + 4*f**2 + 8*f**2 + f**3 + f - 5*f + i*f**4 = 0. Calculate f.
0, 1
Let v(o) = o - 1. Let s be v(-7). Let g(d) = -d**3 - 8*d**2 - 3*d - 8. Let z be g(s). Solve 4*m**5 - z*m**3 - m**5 + 13*m**3 = 0 for m.
-1, 0, 1
Let w be (6/5)/(9/30). Suppose -2*o = o + 5*l - w, 4*o - 13 = l. Let -8*u**3 + 5*u + 20*u**2 - 20*u**4 - u**3 + 4*u**o = 0. Calculate u.
-1, -1/4, 0, 1
Let f(y) = y**2 + 16*y + 19. Suppose -6*q + 9*q = -45. Let h be f(q). Factor 2/7*m**h - 4/7*m**2 + 0*m + 2/7 + 0*m**3.
2*(m - 1)**2*(m + 1)**2/7
Let -572/9*m - 2/9*m**3 + 0 + 574/9*m**2 = 0. Calculate m.
0, 1, 286
Solve -37*t**2 - 15*t**2 - 495*t + 329*t + 220 - 2*t**3 = 0.
-22, -5, 1
Suppose -303*n + 88 = -292*n. Factor 171*c**2 - 88*c**2 - 79*c**2 - 96 - n*c.
4*(c - 6)*(c + 4)
Solve 118*w**2 + 35*w - 95*w**3 - 51*w**4 - 107*w + 71*w**4 + 4*w**5 + 54*w**2 - 29*w**3 = 0.
-9, 0, 1, 2
Let g(j) be the first derivative of 4*j**6/15 - 298*j**5/25 + 1549*j**4/10 - 8692*j**3/15 - 928*j**2 + 2816*j/5 - 1436. Determine u so that g(u) = 0.
-1, 1/4, 8, 22
Let a(k) be the second derivative of k**4/48 - 29*k**3/4 + 7569*k**2/8 - 2*k + 73. What is y in a(y) = 0?
87
Let r be -6 - (18/3 - 6) - -8. Factor 2/9*t**5 + 0 - 10/3*t**3 + 4/3*t**4 + 0*t + 16/9*t**r.
2*t**2*(t - 1)**2*(t + 8)/9
Suppose -5*i = -2*i - 4*a - 7, -i - 2*a = -9. Let f be 1/(-5) 