 = 3108 - 3104. Let x(r) be the second derivative of 24*r**3 + 27/2*r**2 + 0 + 16*r + 16*r**g. Factor x(u).
3*(8*u + 3)**2
Let i(a) be the first derivative of 20/3*a**2 - 11/3*a**3 + 5/6*a**4 - 16/3*a - 1/15*a**5 + 13. Determine n so that i(n) = 0.
1, 4
Suppose -5*j - 61811 = -3*t - 61791, -3*t - 8 = 2*j. Factor 1/6*f**4 + 1/3*f**3 + 4*f - 10/3*f**2 + t.
f*(f - 2)**2*(f + 6)/6
Let c be (-5)/2 - 1/(-6)*-3. Let a(k) = k**3 - 3*k**2 - 9*k - 3. Let b(q) = q**3 + q**2 - q. Let i(x) = c*a(x) + 6*b(x). Factor i(d).
3*(d + 1)**2*(d + 3)
Solve 148*b**2 - 216*b + 694/3*b**3 + 0 - b**5 + 149/3*b**4 = 0.
-3, -2, 0, 2/3, 54
Let -949*r - r**3 - 3872 + 86*r**2 - 834*r + 23*r = 0. What is r?
-2, 44
Let q be (-3 + 15/9)*(-3426)/18272. Let -1/2*o**3 + 3/8*o + 1/8*o**5 + 0*o**4 + q - 1/4*o**2 = 0. What is o?
-1, 1, 2
Let v = 695 + -595. Determine o so that 426*o**3 - 228*o**3 - v*o**2 + 302*o**2 + 4*o = 0.
-1, -2/99, 0
Let k be 2/(-6)*15 - -8. Let 5*c**2 + 47*c**3 + 21*c - 71*c - 5*c**4 + 3*c**k = 0. What is c?
-1, 0, 1, 10
Let b(o) be the first derivative of 110 + 21/5*o**5 + 3*o**2 - 33/4*o**4 + 9/2*o**6 + 0*o - 7*o**3. Find c, given that b(c) = 0.
-1, 0, 2/9, 1
Factor 156/5*d - 292 - 1/5*d**2.
-(d - 146)*(d - 10)/5
Factor -336/5 - 4/5*u - 2/5*u**3 + 6*u**2.
-2*(u - 14)*(u - 4)*(u + 3)/5
Suppose 744 + 217 = 4*j + 5*y, 4*j = 3*y + 985. Let k = j + -1706/7. Factor -k + 2/7*u**2 - 2/7*u**3 + 2/7*u.
-2*(u - 1)**2*(u + 1)/7
Let v(f) be the third derivative of f**7/1365 + 29*f**6/780 - 49*f**5/13 + 4175*f**4/39 - 59000*f**3/39 - 7093*f**2. Factor v(p).
2*(p - 10)**3*(p + 59)/13
Let z(b) be the first derivative of 5*b**7/6 + 2*b**6/3 - 3*b**5/4 - 43*b - 7. Let n(d) be the first derivative of z(d). Factor n(k).
5*k**3*(k + 1)*(7*k - 3)
Solve 6*o**2 - 313*o - 15*o**2 + 175 + 7*o**2 + 137 + 3*o**2 = 0.
1, 312
Let p(y) be the first derivative of 3*y**4/16 - 21*y**3/4 + 297*y**2/8 + 363*y/4 + 414. Factor p(n).
3*(n - 11)**2*(n + 1)/4
Factor -158 - 106 + 15*i**2 - 65*i - 50*i + 10*i**2 - 156.
5*(i - 7)*(5*i + 12)
Determine y so that 5/4*y**4 + 135/4*y**3 + 765/4*y**2 + 525/2 - 1955/4*y = 0.
-15, -14, 1
Find y such that -y**2 + 529*y - y**2 + 361 + 327*y - 361 = 0.
0, 428
Let w be -2 + (33/(-22))/(6/(-4)). Let o be w - -3 - -1 - (-44)/(-16). Solve o*k**2 + 1/4 - 1/2*k = 0 for k.
1
Let -213/2*i**3 - 627/2*i - 3/4*i**4 - 315*i**2 - 417/4 = 0. What is i?
-139, -1
Let o(m) = 7164*m - 372526. Let z be o(52). Find b, given that -9/4 + 3/2*b - 1/4*b**z = 0.
3
Let g = 434 + -430. Factor -10*y**4 + 104*y**2 - y**5 - 160 + 30*y**3 + 10*y**3 - g*y**5 - 24*y**2 - 80*y.
-5*(y - 2)**2*(y + 2)**3
Let o(c) be the second derivative of -c**5/110 - 19*c**4/22 + 118*c**3/33 - 250*c - 4. Factor o(x).
-2*x*(x - 2)*(x + 59)/11
Let u = 5594 + -5591. Solve -2/13*j**4 + 12/13*j**2 - 64/13 - 10/13*j**u + 64/13*j = 0.
-4, 1, 2
Let y(z) be the third derivative of z**6/240 + 7*z**5/40 - 15*z**4/16 + 23*z**3/12 - 41*z**2 - 6*z. Factor y(j).
(j - 1)**2*(j + 23)/2
Let q be 14/(-14) - (-27)/3. Let j be (q/42)/(9 + 488/(-56)). Factor l**3 + j*l**2 + 0*l + 0 - 5/3*l**4.
-l**2*(l - 1)*(5*l + 2)/3
Let i(k) be the first derivative of 19*k**3 + 3/8*k**4 + 219/4*k**2 - 96 + 54*k. Factor i(p).
3*(p + 1)**2*(p + 36)/2
Let c = 132839 - 132837. Factor -14/9*w**c - 2/9*w**3 - 22/9*w - 10/9.
-2*(w + 1)**2*(w + 5)/9
Factor -1620 - 6*l**2 + 25*l**2 + 6*l**2 + 5*l**4 + 2*l**2 + 855*l - 55*l**3 - 12*l**2.
5*(l - 9)*(l - 3)**2*(l + 4)
Let s(j) be the second derivative of 39*j + 9/14*j**3 + 12/7*j**2 + 1/28*j**4 + 0. Factor s(a).
3*(a + 1)*(a + 8)/7
Let a(t) be the first derivative of -4*t**6/15 - 616*t**5/25 + 947*t**4/10 - 2068*t**3/15 + 479*t**2/5 - 32*t - 168. Let a(y) = 0. Calculate y.
-80, 1/2, 1
Let o = 7 + -2. Let z = 33 - 30. Factor -8*q**5 - 12*q**o + 3*q**z - 9*q**3 + 3*q + 23*q**5.
3*q*(q - 1)**2*(q + 1)**2
Suppose 2*c - 16 = 56. Let v = c + -27. Factor v*p - 2*p**3 + 3 - 8 + 11 - p**3.
-3*(p - 2)*(p + 1)**2
Let t(r) = 1105*r**2 - 2350*r - 215. Let j(x) = 41*x**2 - 87*x - 8. Let q be ((-4)/5)/((-3)/75*-10). Let y(n) = q*t(n) + 55*j(n). What is z in y(z) = 0?
-1/9, 2
Let o be 35/(-21) - 5*(-30)/36. Let v(y) be the first derivative of 5*y**2 - o*y**6 + 0*y - 25/3*y**3 + 5*y**5 + 5/4*y**4 + 2. What is u in v(u) = 0?
-1, 0, 2/3, 1
Let b(c) be the first derivative of -c**7/42 + c**6/3 - 5*c**5/4 - 29*c + 4. Let v(s) be the first derivative of b(s). Factor v(n).
-n**3*(n - 5)**2
Let j(g) = 5*g**2 + 3*g + 19. Let n(m) = -21*m**2 - 9*m - 77. Suppose 3*v + 98 = y + 4*y, 2*y - 112 = 4*v. Let x(q) = v*j(q) - 6*n(q). Factor x(k).
-4*(k + 2)*(k + 4)
Let n = 12013/16020 - -1/8010. Determine t so that -3/8*t - n + 3/8*t**2 = 0.
-1, 2
Let a(r) be the second derivative of -2/3*r**2 - 43/30*r**5 + 28*r - 3 + 44/63*r**7 + 49/18*r**4 - 1/9*r**3 - 47/45*r**6. What is q in a(q) = 0?
-1, -2/11, 1/4, 1
Let b be (0/(-2))/(69 - 66). Let -4/3*w**3 + b*w + 0 + 2/9*w**4 - 14/9*w**2 = 0. Calculate w.
-1, 0, 7
Let f(d) be the first derivative of d**8/336 - d**6/60 + d**4/24 + 79*d**2/2 + 43. Let p(j) be the second derivative of f(j). Determine n so that p(n) = 0.
-1, 0, 1
Factor 3/5*o**2 - 2244/5*o + 419628/5.
3*(o - 374)**2/5
Let f(b) be the second derivative of -78*b**7/7 - 352*b**6/5 - 241*b**5/5 - 2*b**4/3 + 16*b**3/3 - 3*b + 34. Suppose f(a) = 0. What is a?
-4, -1/3, 0, 2/13
Determine z so that -6*z + 249*z**3 - 160 - 184*z**3 + 5*z**5 - 28*z + 85*z**4 - 265*z**2 - 376*z = 0.
-16, -1, 2
Let i be ((-28)/5)/((-52)/(-20) + -3). Factor -303*w**4 + 50*w**3 + 271*w**4 + i*w + 110*w**2 + 158*w**3.
-2*w*(w - 7)*(4*w + 1)**2
Factor 607*g + 537*g + 46 + 48 + 315*g**2 - 2*g**3 - 35*g**2 + 1058.
-2*(g - 144)*(g + 2)**2
Let w be -1 + 0 + (-28)/(-7) + -1. Solve -34*v**2 - 5*v**3 - 15*v - 45 - 4*v + 59*v**w + 4*v = 0.
-1, 3
Let r be ((-232)/6)/(27 + -39) + -3. Let j(b) be the first derivative of -r*b**2 - 1/6*b**4 - 1 + 10/27*b**3 + 0*b. Solve j(c) = 0 for c.
0, 2/3, 1
Let u = 17461 - 32587/2. Let w = u + -1166. Solve w*p**2 + 3*p + 0 = 0 for p.
-2, 0
Let m(c) be the third derivative of -c**5/20 + 17*c**4/2 - 128*c**3 - 596*c**2 + 2. Factor m(p).
-3*(p - 64)*(p - 4)
Let o(w) be the second derivative of -w**4/102 + 224*w**3/51 + 452*w**2/17 + 257*w. Suppose o(j) = 0. What is j?
-2, 226
Let f(c) be the third derivative of 0*c**3 + c**2 - 1/360*c**6 + 1/6*c**4 - 3*c + 0 + 1/45*c**5. Factor f(i).
-i*(i - 6)*(i + 2)/3
Let i(d) be the first derivative of -95 - 37/15*d**2 + 2*d + 1/6*d**4 + 34/45*d**3. Let i(s) = 0. What is s?
-5, 3/5, 1
Let b(z) be the third derivative of -2*z**2 - 7/80*z**6 + 0*z + 0*z**3 - 6 + 1/28*z**7 + 0*z**4 + 1/20*z**5. Solve b(t) = 0.
0, 2/5, 1
Let p be (7990/340)/((-855)/(-18)) + 4/38. Factor p*d - 1/5*d**2 + 18/5.
-(d - 6)*(d + 3)/5
Let r be (-48)/(-6)*5/12*(-24)/(-30). Let 0*j**2 + 10*j**3 - 50/3*j - 4 - r*j**4 = 0. Calculate j.
-1, -1/4, 2, 3
Factor 3/7*j**3 - 252300/7 + 250560/7*j + 1737/7*j**2.
3*(j - 1)*(j + 290)**2/7
Let k(y) = y**2 - 2*y + 9. Let s(u) = 8*u**2 - 225*u - 149. Let j(b) = 21*k(b) - 3*s(b). Suppose j(p) = 0. Calculate p.
-1, 212
Let x(b) be the third derivative of 14/3*b**3 - 2*b**2 + 1/3*b**5 + 1/60*b**6 + 23/12*b**4 + 0 - 35*b. Determine o so that x(o) = 0.
-7, -2, -1
Let f(h) be the first derivative of 0*h**2 + 18 + 0*h + 2/35*h**5 - 1/2*h**4 + 0*h**3. Factor f(k).
2*k**3*(k - 7)/7
Factor -122*z - 154*z + 500*z + 3*z**2 - 161*z.
3*z*(z + 21)
Find f, given that -37464*f + 37339*f - f**4 - 115*f**3 + 6*f**4 - 245*f**2 = 0.
-1, 0, 25
Let o = -139 - -141. Solve 2*v**2 + 64*v - v**o - 18 - 44*v - 3*v**2 = 0.
1, 9
Let h be (-10 + -9 + 19)*2/(-6). Let v(y) be the third derivative of -3*y**2 + 1/180*y**6 + h*y + 1/9*y**3 + 0 + 1/30*y**5 + 1/12*y**4. Factor v(c).
2*(c + 1)**3/3
Let k(o) be the third derivative of 1/120*o**5 + 0*o - 75*o**2 + 0*o**4 - 1/160*o**6 + 1/840*o**7 + 0*o**3 + 0. Factor k(u).
u**2*(u - 2)*(u - 1)/4
Factor -96 - 248/5*k - 4/5*k**2.
-4*(k + 2)*(k + 60)/5
Let 121481576*u - 70217037 - 491*u**3 - 666*u**3 - 4*u**4 - 50103887 + 4893*u**3 - 1164384*u**2 = 0. Calculate u.
1, 311
What is t in 2/11*t**2 + 1356/11*t + 229842/11 = 0?
-339
Factor -5860*m - 1033 - 556*m + 1033 - 699*m - 5*m**2.
-5*m*(m + 1423)
Let j = 27/2941 + 211617/14705. Factor -j*u - 39/5 + 6/5*u**3 - 27/5*u**2.
3*(u + 1)**2*(2*u - 