 = 0. What is i?
-1, 0
Let j be (-8)/12*-2*(6 - 3). Let k be 90/(-22) + 8/j*3. Factor 1/11*w**3 + 8/11*w**2 + 18/11 + k*w.
(w + 2)*(w + 3)**2/11
Let p be ((-110)/(-231))/((2/(-60))/(10/(-125))). Factor p*g**2 + 4/7*g**3 - 2/7*g - 24/7*g**4 + 0 - 18/7*g**5.
-2*g*(g + 1)**2*(3*g - 1)**2/7
Let o = 54 - 51. Suppose -o*w = 5*a - 91 + 27, -w = -3. Factor -a - 7*d + 12*d**2 - 21*d - 13.
4*(d - 3)*(3*d + 2)
Suppose -750/7*z + 2/7*z**3 - 372/7*z**2 - 376/7 = 0. Calculate z.
-1, 188
Let w be ((-90)/(-8))/((-48)/(-128)). Suppose -w*k + 2 = -29*k. Factor 4*o + k*o - 2*o**2 - o**2.
-3*o*(o - 2)
Let g(z) be the first derivative of z**4 - 32/3*z**3 + 14*z**2 + 0*z - 26. Factor g(c).
4*c*(c - 7)*(c - 1)
Let n(g) = -59*g**3 - 1052*g**2 - 89767*g + 183726. Let d(q) = 22*q**3 + 351*q**2 + 29922*q - 61241. Let w(h) = 24*d(h) + 9*n(h). Find m such that w(m) = 0.
-175, 2
Suppose 0 - 414/5*d - 1/5*d**2 = 0. What is d?
-414, 0
Let y(m) be the first derivative of m**6/14 + 12*m**5/35 + 3*m**4/14 - 4*m**3/7 - 9*m**2/14 + 1692. What is u in y(u) = 0?
-3, -1, 0, 1
Let r(u) be the first derivative of u**5 + 5*u**4/12 - 40*u**3/3 - 10*u**2 + 104*u + 84. Let s(y) be the first derivative of r(y). Find l such that s(l) = 0.
-2, -1/4, 2
Let w be 41/13 + (-30)/195. Factor 6*m**4 - 100*m**3 + 50*m**w + 35*m**2 - m**4 + 75*m**3 + 15*m.
5*m*(m + 1)**2*(m + 3)
Let h(z) be the second derivative of z**5/30 - 23*z**4/18 - 12*z**3 + 3031*z. Solve h(v) = 0.
-4, 0, 27
Factor 56/5*p**2 - 2/5*p**3 + 94*p + 140.
-2*(p - 35)*(p + 2)*(p + 5)/5
Suppose 133*u - 49 = -2*f + 136*u, 2*f - 2*u - 36 = 0. Determine h, given that -48/7*h + 15/7*h**2 - 36/7 + 45/7*h**3 + 3*h**4 + 3/7*h**f = 0.
-3, -2, -1, 1
Let g(u) be the third derivative of u**8/1176 + 32*u**7/735 + 143*u**6/210 + 16*u**5/7 + 75*u**4/28 - 240*u**2 + 1. Suppose g(j) = 0. Calculate j.
-15, -1, 0
Let l(a) be the third derivative of -4/735*a**7 - 1/1176*a**8 + 4/105*a**5 + 1/210*a**6 - 1/84*a**4 - 4/21*a**3 + 109*a**2 + 0 + 0*a. What is t in l(t) = 0?
-4, -1, 1
Find u, given that 0 + 186*u**2 + 20181*u + 3/7*u**3 = 0.
-217, 0
Let x(m) = -m**3 + 6*m**2 - 8*m + 1. Let y be x(3). Suppose -y*w = -2*n, -2*w + 4*w = 2*n - 2. Factor 14*q**n + 7*q**2 + 6*q**3 - 37*q**4 + 34*q**4 + 12*q.
-3*q*(q - 4)*(q + 1)**2
Let r be 10/4*5276/6595. Factor -2/5*b**r - 8/5*b**3 - 12/5 + 22/5*b.
-2*(b - 1)*(b + 2)*(4*b - 3)/5
Let c(x) be the first derivative of -56 + x**3 - 39/2*x**2 + 0*x. Factor c(m).
3*m*(m - 13)
Let v be ((-2)/25)/1 + (-4710640)/(-808000). Factor -1/4*l**5 + 0 - 5/4*l**4 - v*l**2 + 2*l + 21/4*l**3.
-l*(l - 1)**3*(l + 8)/4
Let q be ((-429)/1521)/((-77)/126). Find i, given that -2/13*i**4 + 8/13*i + q*i**2 - 4/13*i**3 - 8/13 = 0.
-2, 1
Let p(j) be the second derivative of 7*j**6/72 - j**5/8 - 35*j**3/6 - 7*j. Let b(y) be the second derivative of p(y). Factor b(q).
5*q*(7*q - 3)
Suppose -4*s - 4*k = -4, 13*s + 1 = 10*s - 4*k. Factor -s*t**2 + 2*t - 3*t**2 + 7*t**2 + 12 - t.
-(t - 4)*(t + 3)
Let t(v) be the first derivative of v**6/6 - 14*v**5/5 - 25*v**4/2 - 20*v**3/3 + 49*v**2/2 + 34*v - 5491. Let t(x) = 0. Calculate x.
-2, -1, 1, 17
Let j = -37 - -335/9. Suppose 12 = 3*x - 4*l, 5*x + 364*l - 3 = 365*l. Factor x - 8/9*o + j*o**2.
2*o*(o - 4)/9
Let 641 + 253*g + 15*g**2 + 22*g - 1845*g - 138 + 537 = 0. Calculate g.
2/3, 104
Let o(t) be the third derivative of t**6/30 - 236*t**5/3 + 349277*t**4/6 - 1387684*t**3/3 - 9*t**2 - 243*t. Factor o(i).
4*(i - 589)**2*(i - 2)
Let n(m) be the second derivative of m**4/3 - 1082*m**3/3 + 4*m + 301. Let n(s) = 0. What is s?
0, 541
Let g(x) be the second derivative of -x**6/30 + 3*x**5/2 - 109*x**4/12 + 22*x**3 - 26*x**2 + 28*x - 6. Factor g(p).
-(p - 26)*(p - 2)*(p - 1)**2
Let z(m) be the first derivative of -m**6/6 + 11*m**4/4 + 2*m**3 - 14*m**2 - 24*m + 285. Let z(g) = 0. What is g?
-2, -1, 2, 3
Let f(h) be the first derivative of -4*h**3/3 + 648*h**2 - 1292*h - 2000. Factor f(c).
-4*(c - 323)*(c - 1)
Let y(n) be the second derivative of 12*n**7/7 + 146*n**6/15 - 64*n**5 - 654*n**4 - 1692*n**3 - 270*n**2 - 3*n + 377. Determine z so that y(z) = 0.
-3, -1/18, 5
Let p(o) be the first derivative of -o**4/3 - 52*o**3/9 + 20*o**2 - 10462. Factor p(n).
-4*n*(n - 2)*(n + 15)/3
Let i(l) be the third derivative of l**6/320 - 21*l**5/16 + 207*l**4/16 - 103*l**3/2 + 500*l**2 - 2*l. Suppose i(y) = 0. Calculate y.
2, 206
Determine i, given that -5*i**5 + 1460*i - 102*i**4 - 2792*i**3 - 11424*i**2 - 66*i**4 + i**5 - 10280*i - 24*i**4 = 0.
-21, -5, -1, 0
Let j(k) be the second derivative of 7*k**6/40 + 15*k**5/8 + 111*k**4/16 + 9*k**3 - 61*k - 2. Factor j(a).
3*a*(a + 3)**2*(7*a + 8)/4
Suppose 2*u + 3*k + 32 = 0, -402*k = u - 403*k - 14. Factor 4/19 - 2/19*c**5 + 14/19*c - 4/19*c**4 + 16/19*c**u + 4/19*c**3.
-2*(c - 2)*(c + 1)**4/19
Let y be (0 - 1)/(10/(-30)). Suppose -5*q + 4*g = 6, y*q - 4*g + 5 + 5 = 0. Factor -4*a**2 + 0*a**4 + a**4 - a - 3*a**3 + 7*a**q.
a*(a - 1)**3
Let h(m) = -m**2 - 24*m + 28. Let a be h(-25). What is x in -7*x + 2*x**a + 12*x**2 + 3*x**3 - 8*x - 2*x**3 = 0?
-5, 0, 1
Factor -30*c**2 + 7*c**2 + 6*c**2 + 14*c**3 + 5*c**5 + 9*c**2 - 4*c**4 - 7*c**5.
-2*c**2*(c - 1)**2*(c + 4)
Suppose 5*z = i - 14, 3*i + z + 2*z - 6 = 0. Suppose -5*o + 13 = -k, -i*k = -k - 2*o. Factor 0*a + 4/7*a**4 - 2/7*a**3 - 2/7*a**k + 0.
2*a**2*(a - 1)*(2*a + 1)/7
Suppose -2*i + 163 = 59. Let 87 - i*b**3 - 2*b**4 - 380*b + 6*b**4 + 113 - 86*b**2 + 314*b**2 = 0. What is b?
1, 2, 5
Let g(h) = -252*h - 414. Let s(q) = -48*q - 83. Let j(y) = 3*g(y) - 16*s(y). Let u be j(-7). Factor -4/21 + 10/21*p**u - 6/7*p.
2*(p - 2)*(5*p + 1)/21
Let f(b) = -3*b**3 + 4*b**2 - 217*b - 439. Let g be f(-2). Let g - 5/2*x**2 - 25/2*x = 0. What is x?
-7, 2
Let i be ((-12)/9 + (-59)/(-177))*(-6)/9. Determine h so that 2*h - i*h**3 + 0*h**2 + 4/3 = 0.
-1, 2
Let 3/7*f**3 - 117 + 1641/7*f - 825/7*f**2 = 0. What is f?
1, 273
Let j(f) = 12*f**4 - 540*f**3 - 1419*f**2 - 1359*f - 450. Let q(c) = c**4 - 54*c**3 - 142*c**2 - 136*c - 45. Let t(o) = 2*j(o) - 21*q(o). Factor t(l).
3*(l + 1)**3*(l + 15)
Let d be 69/56 + (-1506)/1757. Let r(x) be the second derivative of 0*x**2 - 1/4*x**4 + 0 - d*x**5 + 3/4*x**3 + 31*x. Factor r(f).
-3*f*(f + 1)*(5*f - 3)/2
Suppose 212 = 4*f + 4*x, -f - 82 + 137 = 3*x. Let g(d) = 5*d**2 - 27*d + 43. Let r(w) = 44*w**2 - 242*w + 386. Let q(v) = f*g(v) - 6*r(v). Factor q(m).
-4*(m - 10)*(m - 2)
Let t = 1307/7546 - -7727100079/22638. Find h such that t - 2/3*h**3 + 160*h**2 - 12800*h = 0.
80
Let h(v) = -2*v - 26. Let y be h(-13). Suppose 5*g - 3 - 7 = y. Factor -n**2 - n**4 + 2*n**2 + 0*n**2 + g*n + 2*n**2.
-n*(n - 2)*(n + 1)**2
Let a(l) = -l**3 + 5*l**2 - l + 1. Let i(j) = -j**4 + 11*j**3 - 29*j**2 - 29*j + 20. Let y(g) = 21*a(g) + 3*i(g). Factor y(o).
-3*(o - 3)**2*(o - 1)*(o + 3)
Let w = -334 - -92517/277. Let y = w - -1113/1385. Factor 0 + 8/5*n + y*n**2.
4*n*(n + 2)/5
Suppose 0 = -5*s - 6*s + 33. Suppose 467*d**s + 2*d**2 - d - 936*d**3 + 468*d**3 = 0. What is d?
0, 1
Let l = -24678 + 24684. Let b(y) be the third derivative of 0 + 1/70*y**7 + 3/8*y**4 + 1/20*y**5 + 0*y - y**3 - 26*y**2 - 3/40*y**l. Factor b(d).
3*(d - 2)*(d - 1)**2*(d + 1)
Let x(q) = -105*q**3 - 2985*q**2 + 2960*q + 5755. Let s(p) = 5*p**3 + 142*p**2 - 141*p - 274. Let v(b) = -85*s(b) - 4*x(b). Solve v(i) = 0 for i.
-27, -1, 2
Let y(o) be the first derivative of o**4/8 - 41*o**3/2 - 249*o**2/4 - 125*o/2 - 3238. Factor y(x).
(x - 125)*(x + 1)**2/2
Let n(h) = 37*h**2 + 619*h - 621. Let i(j) = -60*j**2 - 928*j + 932. Let b(c) = 5*i(c) + 8*n(c). Factor b(m).
-4*(m - 77)*(m - 1)
Suppose -6*x + x = -15, -18 = -3*n - 2*x. Let v(t) be the second derivative of -1/7*t**3 + 0 + 7*t + 1/42*t**n - 4/7*t**2. Factor v(h).
2*(h - 4)*(h + 1)/7
Let i(m) be the third derivative of -2/3*m**3 - 39*m**2 + 0*m + 0 - 1/210*m**5 - 3/28*m**4. Suppose i(v) = 0. What is v?
-7, -2
Suppose 4*i - 2*r = 3*i + 562, i - 565 = r. Suppose 15*d**3 + 288*d - 196*d**2 - 246*d**2 + i*d**2 + 96 = 0. What is d?
-4, -2/5
Suppose m**3 - 13/4*m**2 - 7*m + 15 + 1/4*m**4 = 0. What is m?
-5, -3, 2
Let k(s) = 9*s**2 + 2619*s + 483. Let j(n) = 2*n**2 + 655*n + 115. Let t(b) = -21*j(b) + 5*k(b). Find f such that t(f) = 0.
0, 220
Let q(k) be the first derivative of k**5/480 - k**4/48 + k**3/16 + 193*k**2/2 + 133