 Factor a(o).
4*(o - 3)*(o - 1)**2*(4*o - 1)
Let d(v) = 1425*v + 5705. Let z be d(-4). Factor -36/17*x**3 - 44/17*x**2 - 6/17 - 26/17*x - 14/17*x**4 - 2/17*x**z.
-2*(x + 1)**4*(x + 3)/17
Suppose -3*d - 90 = -12*d. Factor -19 + 29 - 70*u**3 - 5*u**5 - 45*u + 16*u**4 + d*u**4 + 4*u**4 + 80*u**2.
-5*(u - 2)*(u - 1)**4
Let w(a) = -3*a**2 - 3*a - 137. Let c be w(-14). Let n = c - -2050/3. Solve -1/3*y**2 + 1/3*y + 1/3 - n*y**3 = 0 for y.
-1, 1
Determine l so that 4*l**2 - 1/6*l**3 - 95/6*l + 0 = 0.
0, 5, 19
Solve 160 - 5389*t**4 - 1808*t - 2952*t**2 + 5133*t**4 - 1096*t**3 - 420*t**3 = 0.
-2, 5/64
Let w(o) = o**2 - 37*o + 105. Let m be w(3). Factor -65 + 171 + 110 - 108*b + 18*b**2 - b**m.
-(b - 6)**3
Let h(t) = 3*t**3 + 90*t**2 - 41*t - 1044. Let m(o) = -4*o**3 - 90*o**2 + 43*o + 1047. Let j(z) = -9*h(z) - 8*m(z). Find u, given that j(u) = 0.
-3, 4, 17
Solve 351122 + 2/9*n**2 + 1676/3*n = 0 for n.
-1257
Suppose 14 = -8*r + 70. Let j(l) = 6*l + 9. Let o be j(r). Determine q so that 11 - 162*q - 56*q**3 + 62*q + 21*q**3 - 90*q**2 - 5*q**4 - o = 0.
-2, -1
Let d(b) = -75*b**2 - 225*b + 2. Let h be d(-3). Find u such that 8/9*u - 34/3*u**h - 22/3*u**4 - 142/9*u**3 - 10/9*u**5 + 8/3 = 0.
-3, -2, -1, 2/5
Let d(o) be the second derivative of -63/4*o**3 - 3/40*o**5 + 0 + 147/4*o**2 - 76*o + 15/8*o**4. Factor d(v).
-3*(v - 7)**2*(v - 1)/2
Let z = -84705 - -84707. Solve -j**z + 1 + 1/6*j**3 - 1/6*j = 0 for j.
-1, 1, 6
Let w(z) = 4*z**4 - 2*z + 1. Let k(o) = -11*o**4 + 139*o**3 + 6192*o**2 + 76038*o - 552963. Let d(v) = -k(v) - 3*w(v). Find m such that d(m) = 0.
-48, 5
Let x(i) be the first derivative of -3/2*i + 1/6*i**3 + 78 + 1/2*i**2. Let x(w) = 0. What is w?
-3, 1
Let x(p) = -81*p + 335. Let f be x(15). Let c = -6156/7 - f. Factor 0 + 2/7*s**4 + 0*s**3 + c*s - 6/7*s**2.
2*s*(s - 1)**2*(s + 2)/7
Let c(b) be the third derivative of -12*b**2 + 0 - 2*b + 1/120*b**5 + 3/2*b**3 - 11/48*b**4. Determine j, given that c(j) = 0.
2, 9
Determine y, given that 112*y**2 - 124/9*y**3 - 324*y + 318 + 2/9*y**4 = 0.
3, 53
Find j such that -60 - 1/2*j**3 - 49*j - 21/2*j**2 = 0.
-15, -4, -2
Let v(d) be the first derivative of 225*d**6/2 - 5112*d**5 + 120129*d**4/2 + 10792*d**3 + 1083*d**2/2 + 6080. Solve v(z) = 0.
-1/15, 0, 19
Let i(w) be the first derivative of -w**5/5 + 5*w**4/2 - 17*w**3/3 - 26*w**2 + 60*w + 997. Suppose i(d) = 0. Calculate d.
-2, 1, 5, 6
Let j(h) be the first derivative of 21/2*h**2 - 1/60*h**5 + 0*h + 1/6*h**4 - 1/2*h**3 - 23. Let k(y) be the second derivative of j(y). Factor k(o).
-(o - 3)*(o - 1)
Let g(n) = -5*n**3 + 27*n**2 - 183*n. Let u(p) = -24*p**3 + 132*p**2 - 914*p. Let a(h) = -34*g(h) + 7*u(h). Factor a(c).
2*c*(c - 8)*(c + 11)
Factor 534*k - 2*k**4 + 92*k**2 - 26*k**3 + 491*k - 1089*k.
-2*k*(k - 2)*(k - 1)*(k + 16)
Let r be (1/5)/(-3*(-696)/12060). Let m = r - 19/29. Determine o, given that 0 + 1/2*o - m*o**2 = 0.
0, 1
Let u(o) be the second derivative of 32/11*o**3 + 42*o + 92/33*o**4 + 0 + 12/11*o**5 + 5/33*o**6 + 16/11*o**2. Determine b, given that u(b) = 0.
-2, -2/5
Let z be (0 + 10)/70 + 15/(-252). Let j(q) be the third derivative of 11*q**2 + 5/8*q**4 + 0*q**3 + 0*q + z*q**6 + 0 + 5/12*q**5. Solve j(u) = 0 for u.
-3/2, -1, 0
Let v(t) be the third derivative of 0*t - 278*t**2 - 17/36*t**4 + 0*t**3 + 0 + 1/90*t**5. Factor v(k).
2*k*(k - 17)/3
Let o(a) be the second derivative of a**6/10 + 561*a**5/20 - 759*a**4/4 + 953*a**3/2 - 573*a**2 - a - 416. Let o(m) = 0. Calculate m.
-191, 1, 2
Suppose -16 + 33 = u + 3*q, 0 = 2*q - 10. Solve -84*s + 5*s**2 + 6*s**2 - 14*s**u + 0*s**2 + 0*s**2 = 0 for s.
-28, 0
Let f be (-1)/((4 + -3)/19) - -4. Let g be 215/(-165) + (0 - 25/f). Determine k, given that 6/11*k - 8/11*k**5 + g + 24/11*k**4 - 16/11*k**2 - 10/11*k**3 = 0.
-1/2, 1, 2
Let y(b) be the third derivative of b**8/112 + b**7/5 - 2*b**6/5 - 7*b**5/10 + 15*b**4/8 + 2*b**2 + 9*b - 33. Suppose y(z) = 0. What is z?
-15, -1, 0, 1
Let r(v) be the second derivative of 0 - 3/2*v**2 + 253*v + 1/42*v**7 + 1/2*v**4 - 1/10*v**5 + 1/6*v**3 - 1/10*v**6. Factor r(q).
(q - 3)*(q - 1)**2*(q + 1)**2
Let g(m) be the first derivative of 5*m**5/12 - 115*m**4/4 - 140*m**3/3 - 9*m**2 + 3*m - 78. Let d(l) be the second derivative of g(l). Let d(w) = 0. What is w?
-2/5, 28
Let m(k) = 13*k**2 + 25*k + 487. Let c(q) = -8*q**2 - 12*q - 249. Let h(g) = -5*c(g) - 3*m(g). Suppose h(o) = 0. Calculate o.
-9, 24
Let b(i) be the third derivative of -i**7/60 - i**6/10 + 3*i**5/20 - 9*i**3/2 + 178*i**2. Let t(s) be the first derivative of b(s). Factor t(a).
-2*a*(a + 3)*(7*a - 3)
Suppose -55/4*f**2 + 28*f - 1/4*f**5 - 15 + 7/4*f**4 - 3/4*f**3 = 0. What is f?
-3, 1, 2, 5
Let c(j) be the second derivative of 0*j**3 + 0*j**4 + 0*j**2 + 0 + 1/90*j**6 - 54*j + 11/20*j**5. Factor c(o).
o**3*(o + 33)/3
Suppose 8 = 456*l - 461*l + 4*m, 2*l - 3*m = -13. Let a(j) be the first derivative of 3*j**2 + 0*j**3 - 1/2*j**4 - 1 + l*j. Factor a(d).
-2*(d - 2)*(d + 1)**2
Let i(w) be the first derivative of w**6/120 + w**5/40 - w**4/4 - 106*w**3/3 + 212. Let l(m) be the third derivative of i(m). Factor l(b).
3*(b - 1)*(b + 2)
Let b(v) be the first derivative of 1331/4*v**4 + 3 + 2376*v**2 - 1452*v**3 - 1728*v. Suppose b(y) = 0. What is y?
12/11
Let x be (50/70)/(12/7)*4/6. Let r(q) be the third derivative of 5*q**2 + 1/45*q**5 + 0 + 0*q + x*q**4 + 0*q**3. Suppose r(t) = 0. Calculate t.
-5, 0
Let v(p) be the third derivative of 2*p**7/105 - 4*p**6/15 + 2*p**5/15 + 16*p**4/3 + 14*p**3 + 541*p**2. Factor v(f).
4*(f - 7)*(f - 3)*(f + 1)**2
Let h = 11248/119 + -33506/357. Factor 0 - h*w**4 + 4*w**3 + 8/3*w - 6*w**2.
-2*w*(w - 4)*(w - 1)**2/3
Suppose 328*d - 252*d = 0. Let o(l) be the second derivative of -1/2*l**4 + l**3 + 1/20*l**6 + d*l**2 - 10*l - 3/40*l**5 + 0. Factor o(x).
3*x*(x - 2)*(x - 1)*(x + 2)/2
Let o(g) be the first derivative of g**6/4 + 159*g**5/40 + 315*g**4/32 + 67*g**3/8 + 33*g**2/16 - 118. Determine x so that o(x) = 0.
-11, -1, -1/4, 0
Factor -35 + 1/2*c**2 - 33/2*c.
(c - 35)*(c + 2)/2
Suppose -71*x + 11*x + 8400 = 0. Let l be (12/28)/(80/x). Let -9/4*v**2 - 9/2*v + l*v**3 + 6 = 0. What is v?
-2, 1, 4
Let r = 0 - -4. Factor -195*n**2 - 8*n**r + 4*n**4 - 50*n**3 + 106*n**3 + 15*n**2.
-4*n**2*(n - 9)*(n - 5)
Determine s so that 10 - 7*s**3 - 5*s**4 + 2*s**4 + 7*s + 2928*s**2 - 2937*s**2 + 2*s**4 = 0.
-5, -2, -1, 1
Suppose -4*u = 4*u - 8. Let x(g) = -2*g**3 - g**2. Let i(w) = -w**3 + 2*w**2 + 5*w. Let o(y) = u*i(y) + 2*x(y). Factor o(l).
-5*l*(l - 1)*(l + 1)
Suppose 0 = 6*w - 2*w - 8. Factor 0*x**5 - x**5 + 12*x**4 - 8*x**3 - 3*x**5 - 4*x**3 + 4*x**w.
-4*x**2*(x - 1)**3
Let a(n) = -n**2 + 25*n - 160. Let g be a(14). Let z be g + (-3 + 9 - 12/(-138)). Factor 0*d + z*d**3 + 0 - 2/23*d**2.
2*d**2*(d - 1)/23
Let b(s) be the second derivative of 34*s**7/35 - 161*s**6/50 - 624*s**5/25 - 359*s**4/20 + 112*s**3/5 - 6*s**2 - 334*s - 3. Let b(k) = 0. What is k?
-2, -1, 2/17, 1/4, 5
Suppose 65*t + 2184 = 86*t. Let g be (-14)/6 + t/39. Determine a so that -g*a**2 + 0 - 1/3*a = 0.
-1, 0
Let q(u) be the second derivative of 21*u - 2 - 18*u**2 + 1/5*u**5 + 3*u**4 - 2/3*u**3. Factor q(y).
4*(y - 1)*(y + 1)*(y + 9)
Let a(k) be the third derivative of -k**7/210 + 5*k**6/24 + k**5/20 - 77*k**4/24 + 25*k**3/3 + 280*k**2. Suppose a(m) = 0. What is m?
-2, 1, 25
Let q = 7408 + -22223/3. Let h(s) be the second derivative of -11*s - 3/4*s**2 - q*s**3 - 1/24*s**4 + 0. Factor h(r).
-(r + 1)*(r + 3)/2
Let b(f) = f**3 - 6*f**2 + 8*f - 8. Let v be b(5). Suppose 8 = -0*d + 4*d, -4*d - v = -3*p. Factor 15*x**2 + x**4 - p*x**4 - 23*x**3 - 2*x**4 - 4*x**3.
-3*x**2*(x + 5)*(2*x - 1)
Suppose 44*w**3 - 461*w**2 - 14413*w**4 + 1709*w**2 + 384 + 14041*w**4 - 1360*w + 56*w**5 = 0. Calculate w.
-2, 1/2, 1, 8/7, 6
Suppose -1159 + 1171 = 5*g + 4*h, h + 22 = 5*g. What is f in -784/3*f - 224*f**2 + 0 + 36*f**3 - 4/3*f**g = 0?
-1, 0, 14
Let b be 12/3 + (-3 - 3)*1. Let t be (-55)/11*b/5. Find d such that 98/3*d**4 - 4/3 - 455/6*d**3 + 19*d**t + 14/3*d = 0.
-1/4, 2/7, 2
Suppose -u = 5*x - 10*x + 8, 4 = 2*u. Let c(m) = 2*m**3 + m**2 - m + 1. Let p be c(1). Factor -p*b + 2*b + 0*b + b**x.
b*(b - 1)
Let h(w) be the third derivative of 84*w**2 + 0*w**3 - 2/15*w**5 + 0 - 1/30*w**6 + 0*w + 0*w**4. Factor h(x).
-4*x**2*(x + 2)
Let n(v) be t