3)*(-306)/(-1326). Let s(z) = -z + 7. Let i be s(7). Suppose 2/7*b + i + 1/7*b**x - 1/7*b**3 = 0. Calculate b.
-1, 0, 2
Suppose 4*k - 51 = -3*m, -4*m + 0*m + 68 = 2*k. Suppose -m = 11*t - 50. Suppose 3/2 - 3/4*u**t - 3/2*u**2 + 3/4*u = 0. Calculate u.
-2, -1, 1
Let l be (4/7)/(2078/7273). Find g, given that 16/7 - 15/7*g - 1/7*g**l = 0.
-16, 1
Let o(b) be the first derivative of 8*b**4/21 + 136*b**3/21 + 289*b**2/7 - 49*b + 34. Let z(l) be the first derivative of o(l). Factor z(y).
2*(4*y + 17)**2/7
Let l(r) be the second derivative of r**8/5376 - r**7/504 + r**6/144 - 7*r**4/3 + 5*r + 2. Let n(y) be the third derivative of l(y). Factor n(h).
5*h*(h - 2)**2/4
Factor -1223/2*p + 1495729/4 + 1/4*p**2.
(p - 1223)**2/4
Let t = -197/18 - -227/18. Let w(y) be the first derivative of 0*y**2 - t*y**3 + 0*y + 16 - 5/4*y**4. Factor w(v).
-5*v**2*(v + 1)
Let u(m) be the second derivative of m**4/36 + 27*m**3/2 + 237*m**2 - 582*m. Factor u(v).
(v + 6)*(v + 237)/3
Suppose 0 = k + 5*r - 266, -k + 411 - 148 = 4*r. Determine z so that -k*z - 249*z - z**2 + 507*z = 0.
0, 7
Let i be 2 + -4 + 2 - -4. Suppose 0*b = -3*b - 5*v + 38, 4*b = i*v + 104. Solve 28*u**2 - 43*u**2 - 12 + 3 - b*u - 3*u**3 = 0 for u.
-3, -1
Factor -392*t + 670*t**2 - 5*t**3 + 122880 - 22940*t - 988*t.
-5*(t - 64)**2*(t - 6)
Let o(u) be the first derivative of -u**4/28 - 8*u**3/7 - 96*u**2/7 + 167*u + 66. Let l(k) be the first derivative of o(k). Factor l(q).
-3*(q + 8)**2/7
Let n(r) be the second derivative of 2 + 1/50*r**5 - 1/15*r**3 - 2/5*r**2 - 45*r + 1/15*r**4. Determine s so that n(s) = 0.
-2, -1, 1
Let i(c) be the first derivative of -1/15*c**6 - 8*c**3 + 14 - 16*c**2 + 2*c + 3/5*c**5 - 1/6*c**4. Let z(f) be the first derivative of i(f). Factor z(a).
-2*(a - 4)**2*(a + 1)**2
Let o(x) be the first derivative of 4*x**5/5 - 14*x**4 - 80*x**3/3 + 1200*x**2 + 805. What is f in o(f) = 0?
-6, 0, 10
Let d(w) = 12*w**2 + 2*w - 2. Let z be d(-2). Let i = 47 - z. Suppose 15*l**3 - 28*l**3 - i + 8*l**3 - 15 + 15*l**2 = 0. What is l?
-1, 2
Let d(i) be the second derivative of -i**6/30 + 5*i**4/4 + 5*i**3/3 + 172*i. Let j(a) = a**4. Let c(f) = d(f) - 4*j(f). Let c(r) = 0. Calculate r.
-1, 0, 2
Suppose 4*y = -4*p - 12, 66*y - 4*p - 36 = 62*y. Let a(i) be the second derivative of -77/8*i**4 + 147/40*i**5 - 3*i**2 - 32*i + 0 + 8*i**y. Factor a(z).
3*(z - 1)*(7*z - 2)**2/2
Solve 15/4*t**2 - 1607/4*t + 107/2 = 0 for t.
2/15, 107
Suppose -35*h = -74*h + 39. Suppose -j - h = -5*u, -4*u = 4*j + 12 - 8. Factor -2/17*d**3 - 4/17*d + 6/17*d**2 + u.
-2*d*(d - 2)*(d - 1)/17
Factor -62001 - 49/4*o**2 - 1743*o.
-(7*o + 498)**2/4
Let z(b) be the second derivative of -2/35*b**5 + 29/42*b**4 + 20/7*b**3 + 0 + 200*b + 27/7*b**2. What is u in z(u) = 0?
-1, -3/4, 9
Let z be 10728/96*(1 - (7 - 2)). Let c = -443 - z. Find l such that 0*l**3 + 0 + 10/3*l**c + 5/3*l - 5/3*l**5 - 10/3*l**2 = 0.
-1, 0, 1
Suppose 106*z = 474 - 156. Suppose 1 + 11 = 4*u. Find p such that 52*p**2 - 7*p - 108*p**u + 92*p**4 - z - 28*p**5 - p + 3 = 0.
0, 2/7, 1
Let o(s) be the second derivative of 7*s**6/24 - s**5/6 - 47*s**2 - s - 5. Let x(l) be the first derivative of o(l). What is b in x(b) = 0?
0, 2/7
Factor 709/5*m**3 + 353/5*m**4 + 0 + 71*m**2 - 1/5*m**5 + 0*m.
-m**2*(m - 355)*(m + 1)**2/5
Suppose 2/3*m**5 - 184/3 + 86/3*m**3 - 176/3*m + 146/3*m**2 - 50/3*m**4 = 0. Calculate m.
-1, 2, 23
Let b be (4 - 4)/((18/3)/(-3)). Let a(f) be the third derivative of 19*f**2 + b*f**3 + 0 + 0*f + 1/96*f**4 + 1/120*f**5 + 1/480*f**6. Factor a(o).
o*(o + 1)**2/4
Let w be -28*(-5 + 18*2/9). Let t(p) be the second derivative of -1/4*p**4 + 0 - w*p + 5/2*p**3 - 6*p**2. Factor t(x).
-3*(x - 4)*(x - 1)
Let d(x) = 5*x**2 + 5*x. Let p(z) = 29*z**2 - 252*z. Let q(n) = -6*d(n) + p(n). Factor q(t).
-t*(t + 282)
Let j(b) = b**3 + b**2 - b + 1. Suppose 32*g = 35*g - 6. Let t(m) = -55*m**g + 295*m - 6*m**3 - 495 + 19*m**3 - 4*m**3. Let n(v) = 5*j(v) - t(v). Factor n(o).
-4*(o - 5)**3
Let a be (-27750)/(-2220)*8/15. Solve -a*r - 1/3*r**2 - 100/3 = 0.
-10
Suppose 3*j + 2*w = 6, 5*w = 43*j - 41*j - 4. Determine s, given that 28*s - 20*s**j - 38*s**2 + 4*s**3 + 32*s**2 - 6*s**2 = 0.
0, 1, 7
Let d(h) be the third derivative of h**8/168 + 12*h**7/35 + 27*h**6/5 + 317*h**2 + h. Factor d(o).
2*o**3*(o + 18)**2
Let a(q) be the third derivative of -q**5/660 - 49*q**4/44 - 7203*q**3/22 - 56*q**2 + 2*q. Factor a(b).
-(b + 147)**2/11
Let k(p) be the first derivative of -p**8/840 - p**7/210 + p**6/180 + p**5/30 - 2*p**3/3 - 40*p - 211. Let r(y) be the third derivative of k(y). Factor r(q).
-2*q*(q - 1)*(q + 1)*(q + 2)
Let n(m) = 32*m**2 + 230*m - 3586. Let l(y) = -78*y**2 - 463*y + 7171. Let b(w) = -2*l(w) - 5*n(w). Factor b(v).
-4*(v - 13)*(v + 69)
Suppose -131*x + 123*x = 0. Let y(z) be the first derivative of -15 - z**5 + x*z + 0*z**2 + 5/6*z**6 + 0*z**4 + 0*z**3. Let y(l) = 0. Calculate l.
0, 1
Let g(k) = -k**2 + 1822*k - 857. Let t(u) = -u**2 + 2733*u - 1291. Let b(p) = 7*g(p) - 5*t(p). Factor b(m).
-(m + 456)*(2*m - 1)
Factor 58 - 10599*b + 5*b**3 + 17 + 5*b**2 + 10514*b.
5*(b - 3)*(b - 1)*(b + 5)
Let y(k) be the third derivative of -5/6*k**4 + 1/24*k**6 + 0 - 47*k**2 + 0*k**3 + 0*k - 1/3*k**5 + 1/42*k**7. Factor y(s).
5*s*(s - 2)*(s + 1)*(s + 2)
Find h such that 768*h - 12*h**4 - 512 - 424*h**2 + 1/2*h**5 + 106*h**3 = 0.
2, 4, 8
Let r(w) = -3*w**2 - 3*w - 4. Let k be r(-2). Let a be (6/4)/(((-21)/k)/7). Find y, given that 4*y**2 + 68 - 14*y**2 + 2*y - 7*y - 58 + a*y**3 = 0.
-1, 1, 2
Suppose 2*i - 32 = -4*v, -3*i = 3*v + 2*v - 40. Suppose x + 3*a + 5 = 0, 5*x = -127*a + 129*a + 9. Factor v*q**2 + 4*q**2 - 4*q**2 - 3 - 6*q**3 + 10*q - x.
-2*(q - 2)*(q + 1)*(3*q - 1)
Let c(l) = -l**2 - 3*l + 18. Let p be c(3). Suppose p = -5*z + b + 12, -3*b = -2*z + 10. Factor 2*w**3 + 2*w**2 - 2*w + 0*w**2 + 4*w**z - 2*w**2 - 4.
2*(w - 1)*(w + 1)*(w + 2)
Let y be 5 + 1 - ((-9 - -11) + 1). Find x such that -3*x - 3 - 6 + y*x**3 - 6 + 0 + 15*x**2 = 0.
-5, -1, 1
Let j(o) be the first derivative of -5/16*o**4 - 5/6*o**3 + 5/8*o**2 + 5/2*o + 15. Factor j(x).
-5*(x - 1)*(x + 1)*(x + 2)/4
Determine o so that -31*o**3 + 40 - 52*o**2 + 0*o**5 + 9*o**4 - 54*o**2 + 14*o**3 - o**5 + 42*o + 81*o**2 = 0.
-1, 2, 4, 5
Let z = -5647 - -67769/12. Let j(s) be the third derivative of 32*s**2 + 0 + 5/2*s**3 + 0*s - 5/3*s**4 + z*s**5. Solve j(a) = 0.
3/5, 1
Let w(a) = -a**2 - 166*a - 2358. Let y(z) = -12*z**2 - 2157*z - 30657. Let x be ((-12)/(-16))/((-296)/64 + 5). Let l(h) = x*y(h) - 27*w(h). Factor l(c).
3*(c + 28)**2
Let w be 1239/531 - (0 - -2) - (-43)/51. Suppose 8/17*y + 4/17*y**4 - w*y**2 - 10/17*y**3 + 16/17 + 2/17*y**5 = 0. What is y?
-2, -1, 1, 2
Let q = -21549 + 43101/2. Solve 1083/2 + q*t**2 - 57*t = 0.
19
Suppose -16*r = -26*r - 4740. Let k = r - -3795/8. Find w, given that -1/2*w + 0 - 1/4*w**4 + 1/8*w**5 - k*w**3 + w**2 = 0.
-2, 0, 1, 2
Let w(r) be the third derivative of 0 - 1/448*r**8 + 0*r**4 + 1/32*r**6 + 10*r**2 + 1/105*r**7 + 1/60*r**5 + 0*r**3 + 0*r. What is t in w(t) = 0?
-1, -1/3, 0, 4
Suppose 303 - 123 = -10*s. Let i be s/81 + ((-616)/(-180) - 3). Find x such that -x**2 + 4/5*x**3 + 0 + i*x = 0.
0, 1/4, 1
Suppose g = 2*z + 29 - 10, 5*z + 46 = 2*g. Factor -8/3*w - 2*w**2 + 2/3*w**g + 0.
2*w*(w - 4)*(w + 1)/3
Let q(z) be the second derivative of -5*z**4/12 - 15*z**3 - 200*z**2 + 96*z - 10. What is d in q(d) = 0?
-10, -8
Let b(a) be the third derivative of -a**8/112 - 19*a**7/70 - 9*a**6/40 + 151*a**5/20 - 97*a**4/4 + 36*a**3 + 635*a**2. Factor b(f).
-3*(f - 1)**3*(f + 4)*(f + 18)
Suppose -34*c + 115 + 153 = 33*c. Let h(g) be the second derivative of -1/27*g**c + 2*g + 0*g**2 - 14/27*g**3 + 0. Solve h(o) = 0 for o.
-7, 0
Let c(v) = 3*v**2 - 210*v - 3528. Let p be c(-14). Factor p - 3*i + 0*i**3 - 3/2*i**4 + 9/2*i**2.
-3*i*(i - 1)**2*(i + 2)/2
Let t(i) = i**2 + i. Suppose 2*j - 8 = 0, -j = 5*h - 6*j - 40. Let b(r) = 0*r - r**2 - 2*r - 2*r + 5 + h*r**2. Let a(z) = b(z) - 6*t(z). Solve a(s) = 0.
1
Let c = -169 + 171. Determine l so that 197*l - 96*l - 95*l - l**c = 0.
0, 6
Let z(g) be the third derivative of 7*g**6/30 - 2942*g**5/15 + 51590*g**4 - 58800*g**3 - 11*g**2 - g + 33. Suppose z(m) = 0. Calculate m.
2/7, 210
Let g(l) be the first derivative of l**6/14 + 6*l**5/5 + 30*l**4/7 - 886.