1/8*p**4 - o*p**2 + 5*p**3. Solve a(i) = 0.
-2, 1/3, 2
Let m(g) be the first derivative of g**6/150 - g**5/100 - 3*g**4/20 - 11*g**3/30 - 2*g**2/5 - 81*g - 39. Let y(f) be the first derivative of m(f). Factor y(i).
(i - 4)*(i + 1)**3/5
Let c = 405 + -205. Factor -2531 + c*y - 2*y**2 - 1799 - 670.
-2*(y - 50)**2
Suppose -5*p = -3486 - 2604. Let m be 2610/p - (-4)/(-1*2). Factor m*z**2 - 2/7*z + 0.
z*(z - 2)/7
Let s(t) be the third derivative of t**7/315 + 143*t**6/180 + 169*t**5/2 + 19773*t**4/4 + 171366*t**3 - 1659*t**2 + t + 1. Suppose s(y) = 0. What is y?
-39, -26
Suppose 0 = -62*u - 89*u - 10*u + 13*u. Suppose 4*h - 6 = 2*l, 2*h = -2*l + h + 9. Factor 0*d**2 + 0 - 4/3*d**l + 2/3*d**5 + u*d**4 + 2/3*d.
2*d*(d - 1)**2*(d + 1)**2/3
Let s(r) = 5*r**3 - 2585*r**2 - 377940*r - 2170830. Let f(y) = 2*y**3 + 27*y**2 + y. Let k(x) = 5*f(x) - s(x). Factor k(p).
5*(p + 6)*(p + 269)**2
Let d = 1428/29 - 5683/116. Let l(t) be the second derivative of 1/120*t**4 + 0 + 15*t + d*t**2 + 1/10*t**3. Solve l(i) = 0 for i.
-5, -1
Solve -2400/7 - 618*t**2 + 126*t**3 + 5840/7*t = 0 for t.
20/21, 3
Suppose -3*y = -7*y + 20. Factor 0*d**2 - 17*d - 10 + y*d - 2*d**2.
-2*(d + 1)*(d + 5)
Let o be (-4)/22 - 2081/(-11). Suppose 5*g = -4*a + 225, 5*g = g - 5*a + o. Factor -3*s**2 - 147 - 18*s - g*s + 14*s + 3*s.
-3*(s + 7)**2
Let l be (0 - 0) + 1 - (10 + -10). Suppose 5*s - l = 9. Factor -12*q**s - 15*q**4 - 37*q**3 - 23*q**2 - 3*q**3 - 10*q.
-5*q*(q + 1)**2*(3*q + 2)
Let h be (10/(-24))/(16 - (-594)/(-36)). Let v(z) be the first derivative of -3 - z + h*z**3 + 9/4*z**2. Solve v(y) = 0.
-2, 1/5
Let j(o) = 17651 + 10086*o + 131310 - 11119 + 228*o**2 + 2*o**3. Let q(f) = -f**2. Let d(v) = -2*j(v) + 36*q(v). Factor d(t).
-4*(t + 41)**3
Factor 2/9*u**3 + 1173950/3*u - 1768/3*u**2 - 7022500/9.
2*(u - 1325)**2*(u - 2)/9
Find u, given that 3*u - 1/2*u**2 + 187/2 = 0.
-11, 17
Factor 231*k**3 + 15797856*k + 659*k**3 - 30530688 - 46*k**3 - 3*k**4 - 269352*k**2 + 710*k**3.
-3*(k - 172)**3*(k - 2)
Factor -1752 - 327*c - 3265*c + 684*c + 20*c**2.
4*(c - 146)*(5*c + 3)
What is g in 9610/7 + 134/7*g**2 - 2/7*g**3 - 2542/7*g = 0?
5, 31
Let p(h) be the first derivative of -h**4/22 + 146*h**3/33 + 76*h**2/11 - 296*h/11 + 1147. Determine v, given that p(v) = 0.
-2, 1, 74
Let a be 6/(-2) - (13 - 43). Factor 16 - p**2 - 16 + 19*p - a*p.
-p*(p + 8)
Let f(z) be the first derivative of z**4/26 + 412*z**3/13 - 1052. Factor f(n).
2*n**2*(n + 618)/13
Let a(m) = m**2 + 12*m - 129. Let y be a(-19). Factor -5*v**y + 3 + 35*v**3 + 15 - 18 + 40*v**2.
-5*v**2*(v - 8)*(v + 1)
Suppose t - 17*c = -12*c + 22, 7*t = 3*c + 90. Let d be t/270*-5 + 300/54. Find r, given that 8/3*r**5 + d*r - 64/3*r**2 - 44/3*r**4 + 28*r**3 + 0 = 0.
0, 1/2, 1, 2
Let p = 145369/5 + -29219. Let y = -145 - p. Factor 0*q**2 - y*q + 1/5*q**3 + 0.
q*(q - 1)*(q + 1)/5
Let g be (40/(-700))/((-34)/(-10)). Let f = 127/476 + g. Find k, given that f*k**2 + k + 3/4 = 0.
-3, -1
Let p(f) be the first derivative of f**4/22 + 50*f**3/33 + 2*f**2 - 96*f/11 - 3762. Factor p(g).
2*(g - 1)*(g + 2)*(g + 24)/11
Let g be (-2)/(-30)*5 - (-17)/((-1326)/(-325)). Let f(p) be the third derivative of 1/20*p**5 + 13*p**2 + 0 + g*p**3 + 0*p - 3/4*p**4. Factor f(o).
3*(o - 3)**2
Suppose -s + 2*m = 16, 4*m - 32 = -17*s + 11*s. Factor s - 590/3*p**3 - 15*p + 100*p**4 - 15*p**5 + 100*p**2.
-5*p*(p - 3)**2*(3*p - 1)**2/3
Let r(o) be the third derivative of o**8/112 - o**7/70 - o**6/10 + o**5/5 - 747*o**2. Factor r(s).
3*s**2*(s - 2)*(s - 1)*(s + 2)
Let t = 134 - 45. Let c = 98 - t. Solve -3*f - c*f - 3*f**3 + 12*f - 21*f**2 = 0 for f.
-7, 0
Let w(i) = i**2 + 4*i. Let u(y) = -5*y**3 - 792*y**2 - 2313*y + 3100. Let t(v) = -u(v) - 2*w(v). Solve t(x) = 0 for x.
-155, -4, 1
Let w(f) = 17*f**2 + 2*f - 81. Let h(y) = 6*y**2 - 27. Let u(l) = -11*h(l) + 4*w(l). Let t(k) = -5*k**2 - 15*k + 57. Let i(v) = 3*t(v) + 7*u(v). Factor i(x).
-(x - 9)*(x - 2)
Let p = 604 + -989. Let j = -383 - p. Factor 4/13 + 6/13*k + 2/13*k**j.
2*(k + 1)*(k + 2)/13
Let s(q) be the first derivative of 11*q**6/360 - 2*q**5/15 + q**4/18 + 62*q**2 + 202. Let x(p) be the second derivative of s(p). Factor x(v).
v*(v - 2)*(11*v - 2)/3
Suppose -48326120515 - 7288*x**3 - 55547427*x - 31347405612 - 12909*x**2 + 14569*x**3 - 7282*x**3 = 0. What is x?
-4303
Let s be (-8 - (-336)/40) + (-4)/60. Let t(w) be the first derivative of -5 + 4/15*w**5 + 8/9*w**3 + 0*w - 5/6*w**4 - s*w**2. Factor t(d).
2*d*(d - 1)**2*(2*d - 1)/3
Factor 4*z**3 + 95926 + 4*z**2 - 95926.
4*z**2*(z + 1)
Let o(l) = -38 + 98*l**2 + 5*l**3 + 17*l**2 + 209 + 4 - 245*l. Let s(q) = q**3 + 19*q**2 - 41*q + 29. Let p(b) = -4*o(b) + 25*s(b). Factor p(m).
5*(m - 1)**2*(m + 5)
Let g(q) = -2*q**3 + 12*q**2 + 3. Let z be g(6). Suppose 10 = -5*p + 5*d, z*p + 2*d + 3*d = 26. Factor -2/5*k**3 - 6/5*k + 0 + 8/5*k**p.
-2*k*(k - 3)*(k - 1)/5
Let i(d) be the third derivative of -d**8/560 + 4*d**7/525 + d**6/20 + 2*d**5/25 + d**4/24 - 75*d**2 - 1. Determine q so that i(q) = 0.
-1, -1/3, 0, 5
Let m = -502 - -508. Factor j**4 + 4*j**4 + 8*j**3 - 4*j**4 - j**3 + m*j**2.
j**2*(j + 1)*(j + 6)
Let t(n) be the third derivative of 0*n**3 + 0*n + 1/21*n**7 + 2/3*n**4 + 1 - 2/15*n**5 - 1/168*n**8 - 1/10*n**6 + 9*n**2. Factor t(v).
-2*v*(v - 2)**3*(v + 1)
Suppose -z**2 - 64428 + 20049 - 2*z**2 + 1374*z - 6218 - 106726 = 0. What is z?
229
Let a(z) be the third derivative of z**7/105 - 4*z**6/15 + 53*z**5/30 + 35*z**4/6 + 892*z**2 + 5*z. Suppose a(j) = 0. Calculate j.
-1, 0, 7, 10
Let a(l) = -l**2 - 26*l + 58. Let i be a(-28). Factor -29*h**2 + 10*h**3 - 3*h**3 + 40*h - i*h**3 - h**2.
5*h*(h - 4)*(h - 2)
Find m such that 9/5*m**3 + 123*m + 933/5*m**2 - 309/5 = 0.
-103, -1, 1/3
Let w = -1477/6 - -739/3. Let m(y) be the second derivative of 0 + 1/6*y**4 + w*y**3 - y - y**2 - 1/20*y**5. Factor m(o).
-(o - 2)*(o - 1)*(o + 1)
Suppose -q + 9 = 3*v, -5*v + 11 = 958*q - 955*q. Factor -10/11*n**3 - 12/11*n**2 + 0 + 0*n + 2/11*n**v.
2*n**2*(n - 6)*(n + 1)/11
Let 852 - 6*o**2 - 416*o - 79*o + 73*o + 4*o**2 = 0. What is o?
-213, 2
Suppose -9 = -p + t, 0 = 3*p + 5*t - 7 + 20. Suppose 4*w**4 - 2*w**p + 19*w**2 - 8*w**3 - 11*w**2 = 0. Calculate w.
0, 2
Let h = 339 + -377. Let q = h + 38. Determine b so that -4/11*b**3 + 2/11*b**4 + q*b + 0 - 2/11*b**2 + 4/11*b**5 = 0.
-1, -1/2, 0, 1
Let j(y) be the third derivative of -y**8/2688 + 67*y**7/1680 - 99*y**6/80 - 104*y**5/15 + 4901*y**4/6 + 6591*y**3 + 1335*y**2 - 4. Factor j(t).
-(t - 26)**3*(t + 2)*(t + 9)/8
Let s(y) be the first derivative of -56/25*y**5 + 170 + 0*y**2 + 0*y - 5/4*y**4 - 29/30*y**6 + 2/15*y**3. Factor s(k).
-k**2*(k + 1)**2*(29*k - 2)/5
Let u be (-14136)/2945*(-10)/24. Find a such that 0 + 54/7*a + 3/7*a**u = 0.
-18, 0
Let m(n) be the second derivative of -n**6/6 - 57*n**5/20 - 39*n**4/4 - 83*n**3/6 - 9*n**2 + 859*n. Factor m(t).
-(t + 1)**2*(t + 9)*(5*t + 2)
Let m(v) be the first derivative of -2*v**3/9 + 452*v**2/9 - 200*v/3 - 1201. Factor m(c).
-2*(c - 150)*(3*c - 2)/9
Let v(z) be the first derivative of 20*z**3 - 1136*z**2 - 304*z - 9394. Factor v(k).
4*(k - 38)*(15*k + 2)
Let g = -28 - -24. Let m(t) = -t + 13. Let n be m(g). Determine b, given that -37*b**2 + n*b + 16*b**2 + 16*b**2 - 6 = 0.
2/5, 3
Let s(m) = 38*m**3 + 131*m**2 + 89*m - 28. Let z(w) = -9*w**3 + 2*w**2 - 2*w - 1. Let g(c) = -s(c) - 2*z(c). Factor g(l).
-5*(l + 1)*(l + 6)*(4*l - 1)
Let d(f) be the first derivative of 4/5*f**3 - 144 + 0*f**2 + 0*f + 1/30*f**4. Factor d(a).
2*a**2*(a + 18)/15
Let p(s) = -s - 18. Let x be p(-21). Solve 13*o**x + 12*o**2 + 5*o - 11*o**3 + 13*o + 8 = 0 for o.
-4, -1
Let h(a) be the second derivative of 9*a**5/20 - 37*a**4/4 + 45*a**3/2 - 33*a**2/2 + 7509*a. Factor h(b).
3*(b - 11)*(b - 1)*(3*b - 1)
Suppose 10 = 3*c + q, 16*c - 12 = 12*c - 2*q. Let t(y) be the second derivative of -4*y + 0 + c*y**3 - 10*y**2 - 1/3*y**4. Factor t(b).
-4*(b - 5)*(b - 1)
Let s(l) be the first derivative of l**8/560 - l**7/280 - l**6/120 + l**5/40 + 41*l**3 + 80. Let r(x) be the third derivative of s(x). Solve r(h) = 0.
-1, 0, 1
Find o such that -96/7*o**3 + 0 - 6/7*o**4 + 792/7*o**2 + 0*o = 0.
-22, 0, 6
Suppose -9*t + 27 = -8*t. Determine p so that -8 + 4*p**5 - p + 0*p**4 - 32*p**2 - 8*p**3 + 8*p**4 - t*p = 0.
-1, 2
Let i(x) be the third de