1/36*p**6 - 4/9*p**4 + 1/630*p**7 + 0*p - 38*p**2. Factor z(b).
b*(b - 4)**2*(b - 2)/3
Let w(m) be the third derivative of 0 + 1/300*m**6 + 4/75*m**5 + 5*m**2 - 13*m + 1/5*m**4 + 0*m**3. Factor w(q).
2*q*(q + 2)*(q + 6)/5
Let d = 233516 - 233512. Solve -d - 8/3*l**2 - 20/3*l = 0 for l.
-3/2, -1
Let l(s) be the second derivative of 1/50*s**6 + 1/105*s**7 + 2/3*s**3 + 2/5*s**4 - 31/100*s**5 + 62 + 0*s**2 + 2*s. Determine f so that l(f) = 0.
-5, -1/2, 0, 2
Let p(u) be the second derivative of u**6/70 + 3*u**5/4 + 72*u**4/7 - 162*u**3/7 + 196*u + 1. Factor p(f).
3*f*(f - 1)*(f + 18)**2/7
Let c be (2/(-25) + 2/25)/(40/(-20)). Factor 1/2*s**3 - 5/4*s**5 - 3/4*s**4 + 0*s + 0*s**2 + c.
-s**3*(s + 1)*(5*s - 2)/4
Factor 6115/3 - 5/3*j**2 + 6110/3*j.
-5*(j - 1223)*(j + 1)/3
Let s(t) = t**3 - t + 24. Let a be s(0). Let p = -11 + a. Factor -p - 12*r**2 + 15*r - 10 + 20.
-3*(r - 1)*(4*r - 1)
Let t be (1/2)/(-13 + 37 - 22). Let y(i) be the first derivative of -t*i**4 - 17 + 0*i - 3/2*i**2 + 4/3*i**3. Factor y(o).
-o*(o - 3)*(o - 1)
Solve -36/7*x**4 - 192/7*x**2 + 0*x + 0 - 160/7*x**3 - 2/7*x**5 = 0.
-12, -4, -2, 0
Let q(l) be the first derivative of -l**4/3 - 19*l**3/9 - 19*l**2/6 + 2*l - 4078. Let q(g) = 0. Calculate g.
-3, -2, 1/4
Let g(w) be the third derivative of -3*w**6/220 - 2*w**5/11 - 37*w**4/44 - 20*w**3/11 + 80*w**2. Suppose g(i) = 0. Calculate i.
-4, -5/3, -1
Let m(c) be the second derivative of c**7/63 - 31*c**6/45 + 32*c**5/3 - 550*c**4/9 - 816*c + 1. Factor m(h).
2*h**2*(h - 11)*(h - 10)**2/3
Determine h, given that -3/4*h**3 - 5805/4*h - 6075/4 + 267/4*h**2 = 0.
-1, 45
Find r such that -3/4*r**3 + 9/2*r**2 - 18 + 3*r = 0.
-2, 2, 6
Suppose 257/2*j**2 - 57/2*j**3 - 29/2*j**4 + 18 + 9/2*j**5 - 108*j = 0. Calculate j.
-3, 2/9, 1, 2, 3
Let k = 2944591/10 + -294459. Solve 19/10*i**2 + 0 + k*i**3 + 9/5*i = 0.
-18, -1, 0
Factor 1/4*x**2 + 87/4*x + 43/2.
(x + 1)*(x + 86)/4
Factor 5*v**2 + 960*v - 276*v - 285*v + 17 - 313*v.
(v + 17)*(5*v + 1)
Let z = -6723/2 - -20185/6. Let m(o) be the first derivative of 4/3*o - 2/3*o**4 - 44/9*o**3 + 11/9*o**6 - 7/3*o**2 + z*o**5 - 7. Suppose m(g) = 0. Calculate g.
-1, 2/11, 1
Let -4/3 - 80/3*c**2 - 54*c = 0. What is c?
-2, -1/40
Let n be ((352/(-1540))/((-12)/(-14)))/(30/(-45)). Find h such that h**2 - n*h**3 + 0 + 6/5*h - 1/5*h**4 = 0.
-3, -1, 0, 2
Factor -8748 + 40*n**3 + 53208*n + 8*n**3 + 5760*n - 4332*n**2 - 10*n**3 + 42*n**3.
4*(n - 27)**2*(20*n - 3)
Suppose -4*j + r = -95, 20 = j + 7*r - 6*r. Suppose 9*k - j - 13 = 0. Factor -88*x**2 + 193*x**2 + 4*x - 97*x**2 + k*x**3.
4*x*(x + 1)**2
Let k = 922076/3 + -307342. Solve 0 + 128/3*q + 192*q**2 + 488/3*q**3 - 120*q**4 + k*q**5 = 0 for q.
-2/5, 0, 4
Let r(n) be the first derivative of 3*n**5/5 + 15*n**4 - 3*n**3 - 93*n**2 - 120*n - 608. Suppose r(q) = 0. Calculate q.
-20, -1, 2
Suppose 174 - 122 = 13*u. Factor 831*x - u*x**2 + 840*x - 1663*x.
-4*x*(x - 2)
Let f(k) be the first derivative of -k**4/14 + 18*k**3 - 188*k**2/7 + 1410. Suppose f(y) = 0. What is y?
0, 1, 188
Let m be (-5620)/375 + 3 - -12. Let v(c) be the second derivative of 0 - 3*c + 1/15*c**4 - 3/50*c**5 + 0*c**2 + 0*c**3 + m*c**6. Factor v(y).
2*y**2*(y - 2)*(y - 1)/5
Let c(a) = -3*a**3 - 54*a**2 + 53*a. Let w(h) = -4*h. Let j(f) = -c(f) + w(f). Let j(n) = 0. Calculate n.
-19, 0, 1
Let g = 309302 - 309302. Factor g - 4/23*q + 0*q**3 - 6/23*q**2 + 2/23*q**4.
2*q*(q - 2)*(q + 1)**2/23
Let j(m) be the first derivative of 3*m**2 - 5/2*m**3 - 7 - 7/4*m**4 + 28*m. Let t(v) be the first derivative of j(v). Solve t(n) = 0.
-1, 2/7
Let b(x) be the first derivative of -x**6/42 - 2*x**5/35 + 2*x**4/7 - 2*x**3/21 - x**2/2 + 4*x/7 - 793. Solve b(z) = 0.
-4, -1, 1
Let c be 253/275 + -1 - (-114)/175. Find z such that 1/7*z**2 - c + 3/7*z = 0.
-4, 1
Let x(g) be the first derivative of 11/2*g**3 - 21/8*g**4 - 73 + 3/10*g**5 + 21/4*g**2 - 18*g. Find n such that x(n) = 0.
-1, 1, 3, 4
Let d(h) be the first derivative of h**4 + 4648*h**3/9 - 2082*h**2 - 1560*h + 3009. Determine p, given that d(p) = 0.
-390, -1/3, 3
Let j(a) be the first derivative of 2*a**3/3 - 208*a**2 + 2876. Factor j(i).
2*i*(i - 208)
Let x(v) = 3*v**2 + 49*v - 376. Let s(l) = 20*l**2 + 291*l - 2237. Let t(b) = 6*s(b) - 39*x(b). Determine f, given that t(f) = 0.
9, 46
Let l(b) = -b**2 - 13*b + 112. Let z be l(-15). Suppose z*j**2 - 43*j**2 - 26*j**2 + 9 + 12*j - 34*j**2 = 0. What is j?
-3/7, 1
Let x be 198/(-3861) + (35 - 32) + 752/(-546) + -1. Factor 6/7*d + 2/7*d**2 + x.
2*(d + 1)*(d + 2)/7
Let v be (-1)/((-4)/8*(3 + (3 - 5))). Let g(x) be the second derivative of 5/36*x**4 + 0 - 30*x + 17/18*x**3 + x**v. Factor g(o).
(o + 3)*(5*o + 2)/3
Let t(a) be the first derivative of -2*a**3/33 + 1596*a**2/11 - 1273608*a/11 + 693. Solve t(i) = 0 for i.
798
Let u be ((-9)/6)/((-69)/(-230)). Let r be u + (-5650)/(-990) - (-4)/22. Find v, given that -8/9 + 14/9*v**2 + r*v - 20/9*v**3 + 2/3*v**4 = 0.
-2/3, 1, 2
Let q be 4/3 + (-248)/(-93). Factor -19*h**2 - 15*h**2 - 5 - q + 28*h**2 - 21*h.
-3*(h + 3)*(2*h + 1)
Let i(r) = 45*r**2 - 315*r + 160. Let n(l) = 5*l**2 - 35*l + 18. Suppose -6 = -296*d + 295*d. Let w(f) = d*i(f) - 55*n(f). Factor w(u).
-5*(u - 6)*(u - 1)
Suppose 1068*b - 1086*b + 36 = 0. Let v(c) be the second derivative of -3/10*c**3 + 0*c**b - 20*c + 0 - 1/20*c**4. Let v(d) = 0. Calculate d.
-3, 0
Let l(i) = i**2 - i + 2. Let n(d) = 10*d**2 + 800*d + 850. Let c(b) = -15*l(b) + n(b). What is x in c(x) = 0?
-1, 164
Suppose -4*k + 0*k = -120. Factor 40 + k*m**2 + 32*m**3 + 11*m - 27*m**3 + 49*m.
5*(m + 2)**3
Suppose 0 = 3*f - 10*f + 224. Factor 47*h**2 + 16*h**3 + h**3 + 7*h**3 + h**2 + f*h + 4*h**4.
4*h*(h + 2)**3
Let a be 104742/135 + (-6)/(-45). Let s = a - 1549/2. Factor 9/2*m + 3 + s*m**2.
3*(m + 1)*(m + 2)/2
Let z(q) = -2*q**2 + 26*q - 11. Let s be z(14). Let k = 41 + s. Factor -7*u**2 + 2*u + 8*u**2 + k*u**2 - u**4.
-u*(u - 2)*(u + 1)**2
Let m be ((-4)/10 - (-2112)/1155)*7. Let x be m/4*(-84)/(-140). Find s such that -3/2*s**3 + 3/2*s + 0 - x*s**4 + 3/2*s**2 = 0.
-1, 0, 1
Let d(z) = -2*z**2 - 3*z + 2. Let k(q) = -24*q**2 + 110*q - 80. Let f(p) = -8*d(p) + k(p). Suppose f(b) = 0. Calculate b.
3/4, 16
Suppose 1075 = 15*w + 220. Suppose -7 = 25*r - w. Let 1/6*t**3 - 1/2*t**r + 2/3 + 0*t = 0. Calculate t.
-1, 2
Let y = 11274 - 11270. Let o(m) be the first derivative of 6*m - 2*m**3 - 9/4*m**y + 9/2*m**2 - 13. Factor o(z).
-3*(z - 1)*(z + 1)*(3*z + 2)
Factor -5*c**4 + 321583 + 165*c**2 - 500*c - 160772 - 160391.
-5*(c - 3)*(c - 2)**2*(c + 7)
Let 2*i**4 - 410/23*i**3 + 72*i + 66/23*i**2 + 10/23*i**5 - 648/23 = 0. Calculate i.
-9, -2, 2/5, 3
Let y(c) be the first derivative of c**6/810 - 19*c**5/540 + c**4/12 + 17*c**3 + c**2 + 81. Let w(r) be the third derivative of y(r). Factor w(j).
2*(j - 9)*(2*j - 1)/9
Let h(s) = -s**2 + 890*s - 879. Let q(r) = 4*r**2 - 3116*r + 3076. Let w(v) = -18*h(v) - 5*q(v). Factor w(c).
-2*(c - 1)*(c + 221)
Let o be ((-15)/(-60))/((-17)/(-24)). Let d be (2 + 213/(-102))/(108/(-144)). Solve -o*v**2 - d*v**3 + 8/17 + 0*v = 0.
-2, 1
Let x be -9 + 4 - (49 - (-18048)/(-329)). Find g, given that x*g + 4/7 - 2/7*g**3 + 0*g**2 = 0.
-1, 2
Let o(y) be the second derivative of y**5/130 - 12*y**4/13 - 49*y**3/13 - 74*y**2/13 + 203*y. Determine g, given that o(g) = 0.
-1, 74
Let s(x) be the first derivative of -4/3*x**3 - 3/4*x**4 + 96 - 3/4*x**2 + 1/12*x**6 + 0*x**5 + 0*x. Factor s(m).
m*(m - 3)*(m + 1)**3/2
Let n(r) = -r**3 - r**2 - r + 1. Let g = 29 - 27. Let j(u) = 0*u**3 + u**4 - g*u**3 + 5*u + 6*u**3 + 3*u**2 - 5. Let p(i) = j(i) + 5*n(i). Factor p(z).
z**2*(z - 2)*(z + 1)
Let l(w) be the second derivative of 3*w**5/40 - w**4 + 5*w**3/4 + 75*w**2/2 + 2122*w. Factor l(x).
3*(x - 5)**2*(x + 2)/2
Suppose 266*u = -3804 + 3804. Factor u + 2/13*q - 6/13*q**2 + 4/13*q**3.
2*q*(q - 1)*(2*q - 1)/13
Factor 0 + 22/3*q**3 - 16*q**2 - 18*q.
2*q*(q - 3)*(11*q + 9)/3
Let k(s) be the third derivative of 17/24*s**6 + 62*s**2 + 0*s**4 + 0*s - 5/48*s**8 + 8/21*s**7 + 0*s**3 - 1/2*s**5 + 0. What is l in k(l) = 0?
-1, 0, 2/7, 3
Let p be (-21)/(-168) - 207020/96. Let h = -2155 - p. Suppose -4/3*s - 4/3 + 8/3*s**2 - 4/3*s**5 - h*s**4 + 8/3*s**3 = 0. What is s?
-1, 1
Let m(f) be the first derivative of -f**6/6 - 182*f**5/5 - 8281*f**4/4 + 199. Factor m