 0*o + d*o**4 + 16/21*o**3 + 11 + 2/7*o**2 + 2/21*o**6 + 16/35*o**5. Factor n(p).
4*p*(p + 1)**4/7
Let d(p) = -2*p**5 + 11*p**4 + 132*p**3 - 3*p**2 - 122*p - 8. Let o(u) = u**5 - u**4 + 3*u**2 + u - 2. Let j(i) = d(i) - 4*o(i). Find g such that j(g) = 0.
-7/2, -1, 0, 1, 6
Let d(w) be the first derivative of w**4/8 + 73*w**3/2 + 435*w**2/4 + 217*w/2 + 638. Suppose d(p) = 0. Calculate p.
-217, -1
Suppose -5*r = -h + 255, 19 = -2*r + 13. Find l such that -2244 - 4*l**2 + 1793 - 2083 - 1066 - h*l = 0.
-30
Suppose 8 + 238681*j**2 + 7*j - 238680*j**2 + 4 = 0. Calculate j.
-4, -3
Let n = -156838 - -156840. Factor -n - 4*b**3 - 79/3*b**2 - 43/3*b.
-(b + 6)*(3*b + 1)*(4*b + 1)/3
Let q be 440/(-50) - 12/(-15). Let y be q + 219/27 + 19/72. Factor 3/4*c + 0 - y*c**2.
-3*c*(c - 2)/8
Let g(b) be the first derivative of -5*b**6/12 - 8*b**5 - 405*b**4/8 - 75*b**3 + 405*b**2 + 1620*b + 3475. Solve g(o) = 0 for o.
-6, -3, 2
Let -464/21*u**3 - 100/21*u + 64/7 + 10/21*u**4 - 766/21*u**2 = 0. What is u?
-1, 2/5, 48
Let d = -160 + 178. Suppose -2*b + 46 = -3*z, -d = -b + 3*z + 5. Factor -b*y**2 - 9/2 - 1/2*y**5 - 33/2*y - 15*y**3 - 9/2*y**4.
-(y + 1)**3*(y + 3)**2/2
Let u = -426 + 430. Factor -u - 9*z**4 + 21*z - z**5 - 2*z**2 - 28 + 2*z**5 + 43 - 22*z**3.
(z - 11)*(z - 1)*(z + 1)**3
Let a = -534135957610/1827 + 292356862. Let o = a - -70/261. Determine b so that -8*b**2 + 176/7*b - 18/7*b**5 + o*b**4 - 64/7 - 164/7*b**3 = 0.
-1, 2/3, 2, 4
Let p = 15418 + -76799/5. Let r = p - 55. Factor 16/5 - r*k - 8/5*k**3 - 28/5*k**2.
-4*(k + 2)**2*(2*k - 1)/5
Suppose 5*d + 191 = -1629. Let w be 7/(d/114)*(-8)/6. Solve -30/13*g**3 + 4/13*g - 14/13*g**5 + w*g**4 + 0 + 2/13*g**2 = 0 for g.
-2/7, 0, 1
Factor 1188*v**2 - 33 + 2005*v**3 - 408*v + 368*v**3 + 18*v**3 + 903*v**3 + 2025*v**4 - 191.
(3*v + 2)**3*(75*v - 28)
Let d(w) be the second derivative of 2*w**6/15 - 3*w**5/5 + 2*w**4/3 + 2*w + 294. Factor d(p).
4*p**2*(p - 2)*(p - 1)
Let f(q) be the first derivative of -2*q**5/15 + q**4/6 + 2*q**3/3 - q**2/3 - 4*q/3 - 937. What is k in f(k) = 0?
-1, 1, 2
Factor -1/11*n**3 + 36/11*n - 68/11 + 3*n**2.
-(n - 34)*(n - 1)*(n + 2)/11
Let f be (-390)/(-234) - (-4)/(-3). Solve -14/3 + 3*o - f*o**2 = 0 for o.
2, 7
Find d, given that -314/9*d + 0 - 2/9*d**2 = 0.
-157, 0
Let h(g) be the first derivative of -4*g**3/15 + 12*g**2 + 1036*g/5 + 9760. What is m in h(m) = 0?
-7, 37
Find g such that 1240/9*g + 2/9*g**2 + 192200/9 = 0.
-310
Let g(u) be the third derivative of -50*u**2 + 1/150*u**5 + 0*u - 1/30*u**4 + 0 + 1/15*u**3. What is p in g(p) = 0?
1
Factor -768*c - 366904*c**2 - 1197*c + 366907*c**2.
3*c*(c - 655)
Factor 0*v**3 - 3775*v + 21*v**2 + 2*v**3 - 31*v**2 + 3*v**3 + 0*v**3 + 3780.
5*(v - 28)*(v - 1)*(v + 27)
Let n be ((616/42)/22)/((-11)/(-99)). Factor n*f**4 + 368/3*f**2 - 40*f**3 - 176*f - 1/3*f**5 + 96.
-(f - 6)**2*(f - 2)**3/3
Let q = -30722 - -30726. Find v, given that 0*v**2 + 12/5*v**3 + 0 - 3/5*v**q + 0*v = 0.
0, 4
Let l be 0/(-4*9/(-36)). Let t(d) be the second derivative of l*d**3 + 2/5*d**6 + 0 + 0*d**2 - 1/2*d**4 - 10*d - 21/20*d**5. Factor t(b).
3*b**2*(b - 2)*(4*b + 1)
Let h = -802 - -805. Let j be (1/h)/(-14 - 2128/(-147)). Suppose -1/10*x**2 + 0 - j*x = 0. Calculate x.
-7, 0
Determine g so that -1407/8*g + 281/4 - 285/8*g**3 + 1129/8*g**2 + 1/8*g**4 = 0.
1, 2, 281
Suppose 18*f = -7 - 83. Let k be 1/f + (-712)/(-60). Suppose 5/3*i**3 + 0 + k*i - 40/3*i**2 = 0. Calculate i.
0, 1, 7
Factor 102/5 + 20*g - 2/5*g**2.
-2*(g - 51)*(g + 1)/5
Let y(q) = -16*q**2 + 2602*q - 2596. Let x(p) = 5*p**2 - 867*p + 865. Let g(r) = -10*x(r) - 3*y(r). Let g(v) = 0. What is v?
1, 431
Factor 105 - 8721/2*u + 249/2*u**2.
3*(u - 35)*(83*u - 2)/2
Let u be ((-144)/720)/((-16)/20). Factor -u*c**3 + 0*c**2 + 3/4*c - 1/2.
-(c - 1)**2*(c + 2)/4
Let -10063448*b**2 + 167*b - 1052*b + 10063443*b**2 = 0. What is b?
-177, 0
Factor 471325 - 714603 - 1641528*h - 1606322 - 4*h**3 + 5436*h**2 - 202632*h.
-4*(h - 680)**2*(h + 1)
Let f be (-511)/(-73) + 1 + 16/(-2). Suppose 3*o - 1 - 53 = f. Factor o + 42*a + 49/2*a**2.
(7*a + 6)**2/2
Let q(i) be the first derivative of -i**4/26 - 44*i**3/39 + 25*i**2/13 + 92*i/13 - 4931. Determine n, given that q(n) = 0.
-23, -1, 2
Let v be ((-5164)/6)/(-7 - (4 - -105)). Let m = v - -7/87. Suppose m*l - 6 - 3/2*l**2 = 0. What is l?
1, 4
Let f(t) be the third derivative of t**5/30 - 43*t**4/60 + 38*t**3/15 + 4737*t**2. Find g such that f(g) = 0.
1, 38/5
Let l(o) be the first derivative of 30*o**2 - 180*o + 46 - 5/3*o**3. Factor l(f).
-5*(f - 6)**2
Let z(q) be the third derivative of q**5/20 + 171*q**4/8 + 252*q**3 - 1317*q**2. Factor z(r).
3*(r + 3)*(r + 168)
Let -11/3*q**4 + 58/3*q**3 + 11/3*q**2 - 39/2*q + 0 + 1/6*q**5 = 0. What is q?
-1, 0, 1, 9, 13
Factor 122/5*q**2 - 357/5*q + 0 - 1/5*q**3.
-q*(q - 119)*(q - 3)/5
Let z(j) be the second derivative of -5*j**4/51 - 7*j**3/17 - 2*j**2/17 + 567*j + 3. Determine w, given that z(w) = 0.
-2, -1/10
Let x(j) = -j**3 + j**2. Let g(l) = 2*l**3 + 3*l**2. Suppose -31*a = -37*a - 114. Let s = -17 - a. Let u(o) = s*x(o) - 2*g(o). Factor u(t).
-2*t**2*(3*t + 2)
Factor 96 + 2/3*b**2 - 577/3*b.
(b - 288)*(2*b - 1)/3
What is h in -60968/7*h**3 - 50/7*h**5 + 3760/7*h**4 - 266240/7*h - 370592/7*h**2 - 51200/7 = 0?
-4, -2/5, 40
Let s(j) be the third derivative of 0 + 4/105*j**7 + 0*j + 0*j**4 + 0*j**3 - 1/336*j**8 - 7/120*j**6 - 18*j**2 + 0*j**5. Factor s(k).
-k**3*(k - 7)*(k - 1)
Suppose 0*l = -3*l - 4*l - 0*l. Let b(a) be the first derivative of -3*a**2 + l*a + 6 - a**3 + 3/4*a**4. Determine j, given that b(j) = 0.
-1, 0, 2
Let z be (-160)/6*81/144*-4. Let l be 104/z - (-28)/(-21). Factor 12/5*t - 2/5*t**3 + 0 - l*t**2.
-2*t*(t - 2)*(t + 3)/5
Let z(b) be the first derivative of 5*b**4/4 + 100*b**3/3 + 465*b**2/2 + 630*b + 1032. Let z(m) = 0. Calculate m.
-14, -3
Let t be (-396)/126 + 1/7. Let h(q) = q**2 + 2*q - 1. Let w be h(t). Factor 11*b**w - 22*b**2 + 8*b**2 + 30*b + 8*b**2 + 45.
5*(b + 3)**2
Let v(k) be the first derivative of 2*k**5/85 + 31*k**4/2 + 139390*k**3/51 + 69169*k**2/17 - 435. Factor v(c).
2*c*(c + 1)*(c + 263)**2/17
Let q(h) be the first derivative of -h**4/12 - 107*h**3/9 + 221*h**2/6 + 109*h + 769. Find f such that q(f) = 0.
-109, -1, 3
Factor -453963/2*i - 1167/2*i**2 - 1/2*i**3 - 58863869/2.
-(i + 389)**3/2
Let w(g) be the second derivative of -g**6/60 - g**5/24 + g**4/8 - 35*g**2/2 - 10*g - 1. Let n(p) be the first derivative of w(p). Factor n(y).
-y*(y + 2)*(4*y - 3)/2
Let u(r) = -15*r + 87. Let m be u(5). Suppose 29*f - 25*f - m = 0. Let -2/5*c**4 - 2/5*c + 6/5*c**2 - 4/5 + 2/5*c**f = 0. Calculate c.
-1, 1, 2
Let m = 16547309300493/10997 - 1504711219. Let d = m + -2/1571. Factor 24/7 - 2/7*j**3 - 2/7*j**2 + d*j.
-2*(j - 3)*(j + 2)**2/7
Let g(v) be the third derivative of 1/24*v**6 + 3*v + 0*v**3 + 5/24*v**4 + 9*v**2 + 0 + 1/6*v**5. Factor g(f).
5*f*(f + 1)**2
Let a(m) = 1174*m + 17612. Let h be a(-15). Let 3/7*k**5 + 6/7*k - 9/7*k**3 - 3/7*k**h + 0 + 3/7*k**4 = 0. What is k?
-2, -1, 0, 1
Factor 4*h**4 + 200704 - 880*h**3 + 215416*h + 228110*h + 46608*h**2 - 246406*h.
4*(h - 112)**2*(h + 2)**2
What is r in 1506/5*r - 567009/5 - 1/5*r**2 = 0?
753
Let s(q) be the third derivative of q**8/1176 - 586*q**7/735 + 21608*q**6/105 - 85264*q**5/105 - 6*q**2 + 310. Factor s(x).
2*x**2*(x - 292)**2*(x - 2)/7
Let q(z) be the third derivative of z**7/630 - 103*z**6/360 - 211*z**5/180 + 103*z**4/72 + 35*z**3/3 - 5380*z**2 + 2. Find a, given that q(a) = 0.
-2, -1, 1, 105
Find p such that -81*p - 1192*p**2 + 30 + 667*p**2 + 81*p**3 - 3*p**4 + 293 + 205 = 0.
-1, 1, 11, 16
Let k(y) be the third derivative of -y**7/1050 + y**6/120 - 2*y**5/75 + y**4/30 - 840*y**2 + 2*y. Factor k(l).
-l*(l - 2)**2*(l - 1)/5
Factor 0 - 5/2*p**2 - 16*p.
-p*(5*p + 32)/2
Let s(a) be the second derivative of -15*a + 35/12*a**4 - 1 + 5/6*a**7 - 5*a**3 + 39/4*a**5 + 0*a**2 + 11/2*a**6. Let s(t) = 0. What is t?
-3, -1, 0, 2/7
Suppose -40*a = -37*a - 30. Factor -18*k**2 + 10*k**4 - 4*k - a*k**2 - 6*k**4 + 8*k**3 + 20*k.
4*k*(k - 1)**2*(k + 4)
Suppose -9*y - 2*y + 77 = 0. Suppose 6*c + p = 4*c + y, 4*c = 4*p + 8. Solve 9*r**4 - r**c - 6*r - 9*r**2 - r**3 + 0*r**3 + 8*r**3 = 0.
-1, -2/3, 0, 1
Let f(p) be the first derivative of -14/3*p**3 + 0*p + 0*p**2 - 152 - 