 a(t).
-2*(t - 2)**3*(t - 1)/13
Determine j so that 0 + 4*j + 18/7*j**5 - 46/7*j**3 - 10/7*j**2 + 10/7*j**4 = 0.
-14/9, -1, 0, 1
Suppose -20 = 8*r - 12*r. Factor 10*b + 8 - 4 + r*b**2 + 1.
5*(b + 1)**2
Let i(l) be the first derivative of l**4/8 - 5*l**3/6 - 7*l**2 + 16*l + 426. Factor i(o).
(o - 8)*(o - 1)*(o + 4)/2
Let y(x) be the second derivative of 243*x**7/14 + 513*x**6/5 + 1134*x**5/5 + 216*x**4 + 64*x**3 - 3*x. Factor y(j).
3*j*(3*j + 4)**3*(9*j + 2)
Let g be 24/160*(-8)/(-7 - -5). Find p, given that 0 + 4/5*p - 1/5*p**3 + g*p**2 = 0.
-1, 0, 4
Solve -5/3*r - 1/3*r**2 - 4/3 = 0.
-4, -1
Factor 8/5 - 144/5*c**3 + 92/5*c + 48*c**2.
-4*(c - 2)*(6*c + 1)**2/5
Let x be 52/1 - (-9 - -8). Suppose -3*g + 4*l = -x, 2*g - l - 36 = 2*l. Find d, given that 10*d**2 + 6*d**2 - 13 - 3*d + 8*d**2 - g*d**3 + 7 = 0.
-2/5, 1
Let a be 64*((-3)/9 + -5)/2. Let q = -169 - a. Let 0 + q*r**2 + 0*r = 0. What is r?
0
Let l(a) be the second derivative of -37*a + 1/8*a**4 - 1/8*a**5 + 1/60*a**6 + 0 - a**2 + 5/12*a**3. Find f, given that l(f) = 0.
-1, 1, 4
Let w = 786 + -780. Let h(f) be the first derivative of -670/3*f**3 + w - 40*f - 170*f**2 + 392*f**5 + 805/4*f**4 - 1715/6*f**6. Factor h(n).
-5*(n - 1)**2*(7*n + 2)**3
Let t(o) be the third derivative of o**8/1512 - 11*o**7/945 + 43*o**6/540 - 73*o**5/270 + 14*o**4/27 - 16*o**3/27 - 47*o**2 - 2*o. Factor t(i).
2*(i - 4)**2*(i - 1)**3/9
Let f(c) be the first derivative of 5*c**6/6 - 2*c**5 - 5*c**4/4 + 10*c**3/3 - 10. Factor f(y).
5*y**2*(y - 2)*(y - 1)*(y + 1)
Let l be ((-2)/(-4))/(69 - 9). Let w(i) be the third derivative of 0 + l*i**5 + 0*i + 0*i**4 - 3*i**2 - 1/12*i**3. Solve w(b) = 0 for b.
-1, 1
Solve 8/3*s**2 + 0*s + 0 + 112/3*s**3 - 150*s**5 + 110*s**4 = 0 for s.
-2/15, 0, 1
Factor 7/4*y - 124*y**4 + 16*y**5 + 87*y**3 - 85/4*y**2 + 0.
y*(y - 7)*(4*y - 1)**3/4
Let s = 10 - 6. Factor -96*o**3 + 0*o**s + 0*o**4 - 2*o + 100*o**3 - 2*o**5.
-2*o*(o - 1)**2*(o + 1)**2
Let j(g) = 32*g**5 - 346*g**4 + 2342*g**3 + 10*g + 10. Let f(c) = -10*c**5 + 115*c**4 - 781*c**3 - 3*c - 3. Let z(p) = -10*f(p) - 3*j(p). Factor z(m).
4*m**3*(m - 14)**2
Let l be 32/(-432) - (-112)/54. Let h(k) be the second derivative of 0*k**3 + 0 - 1/3*k**4 + 0*k**l + 1/10*k**5 - k. Factor h(d).
2*d**2*(d - 2)
Let z(w) be the third derivative of -7*w**6/1200 + 19*w**5/100 + 29*w**4/80 - 17*w**3/30 - 20*w**2 - 2*w. Let z(m) = 0. Calculate m.
-1, 2/7, 17
Let v be 0 - ((-42)/9)/((-8)/(-12)). Suppose 0 = v*b - 3*b + 6*b. Suppose 0 + b*r - 7/6*r**3 - 1/3*r**2 = 0. What is r?
-2/7, 0
Suppose -42 + 22 = -4*v, 5*v - 25 = -5*l. Determine t, given that 2/3*t**4 + 0 + 0*t**2 + l*t**3 + 0*t - 2/3*t**5 = 0.
0, 1
Let c = -9 + 16. Factor -21*o**3 + 5*o**3 + 15*o**2 + 13*o**2 + o + c*o.
-4*o*(o - 2)*(4*o + 1)
Let v(z) be the third derivative of -z**5/60 + 47*z**4/24 - 23*z**3/3 + 728*z**2. Let v(d) = 0. What is d?
1, 46
Let n(f) be the first derivative of -f**4/4 + f**3 - 45. Solve n(y) = 0.
0, 3
Factor 1/3*z**4 - 7/3*z - 3*z**2 + 7/3*z**3 + 8/3.
(z - 1)**2*(z + 1)*(z + 8)/3
Determine n, given that -5/6*n**4 + 2 + 1/2*n**3 + 17/6*n**2 - 14/3*n + 1/6*n**5 = 0.
-2, 1, 2, 3
Suppose 222*f = 226*f - 16. Factor 0 + 3/2*n**2 + 1/2*n**f - 3/2*n**3 - 1/2*n.
n*(n - 1)**3/2
Let n(i) be the first derivative of 29 + 0*i**2 + 5/4*i - 5/12*i**3. Find o, given that n(o) = 0.
-1, 1
Let y(j) = -12*j**3 + 7*j**2 + 8*j - 3. Let z = 58 + -51. Let x(h) = -11*h**3 + 6*h**2 + 9*h - 4. Let c(u) = z*x(u) - 6*y(u). Factor c(t).
-5*(t - 1)**2*(t + 2)
Let l(m) be the first derivative of 19*m**4/18 - 8*m**3/3 + 5*m**2/3 + 4*m/9 - 108. Suppose l(u) = 0. Calculate u.
-2/19, 1
Suppose -5*b + 7*b + 4*d + 20 = 0, 0 = -5*d - 25. Suppose -14*i + 25*i = b. Determine s so that 1/4*s**2 + i + 1/4*s**3 - 1/4*s**4 - 1/4*s = 0.
-1, 0, 1
Let p(j) = j**2 + 29*j + 56. Let h be p(-27). Suppose -5 = -i - 1. Suppose 10*f**3 - 5 + 6*f**4 + 16*f**i - 7*f**4 - 10*f**h - 15*f + 5*f**5 = 0. What is f?
-1, 1
Let k = 11 - 18. Let x(f) = -2*f**3 - 2*f**2 + f - 3. Let j(o) = 0*o**2 - 8 - 4*o**2 + 1 - 5*o**3 - 2*o + 4*o. Let t(c) = k*x(c) + 3*j(c). Solve t(l) = 0 for l.
0, 1
Let f(o) be the second derivative of o**5/14 - o**4/42 - 20*o**3/21 + 4*o**2/7 + 4*o + 6. Factor f(n).
2*(n - 2)*(n + 2)*(5*n - 1)/7
Let n(p) = -p**2 - 4*p + 4. Let q(a) = -2*a**2 - 4*a + 4. Let z = -75 - -77. Let h(g) = z*q(g) - 3*n(g). Factor h(w).
-(w - 2)**2
Let i = -6114/5 + 1223. Let s(m) be the second derivative of 0 - i*m**3 + 1/30*m**4 - 11*m + 0*m**2. Factor s(p).
2*p*(p - 3)/5
Factor 1022*f**2 + 82*f**4 + 48*f**2 + 351 - 8*f**2 - 79*f**4 - 1056*f - 343*f**3 - 17*f**3.
3*(f - 117)*(f - 1)**3
Let v(h) = 7*h**2 - 11*h - 7. Suppose -6*p + 2*n + 14 = -3*p, -3*p + 10 = -4*n. Let x(r) = 2*r**2 - 3*r - 2. Let j(u) = p*v(u) - 22*x(u). Factor j(g).
-2*(g - 1)*(g + 1)
Let x(u) = 3*u**2 + 4*u**2 + u - 14*u**2 + 6*u**2. Let l(t) = -2*t**2 - 4 + 3*t + 4. Let f(v) = -l(v) + 3*x(v). Factor f(q).
-q**2
Let s(t) be the third derivative of t**5/60 + 8*t**4 + 1536*t**3 + 2*t**2 + 43*t. Factor s(v).
(v + 96)**2
Let h = 3406/3 - 1134. Factor h*b**3 + 2/3*b - 1/3*b**4 + 0 - 5/3*b**2.
-b*(b - 2)*(b - 1)**2/3
Let p = 629 - 629. Let l(i) be the third derivative of p*i**4 + 0*i**5 + 0*i**3 - 5*i**2 + 1/480*i**6 + 0*i + 0. What is j in l(j) = 0?
0
Suppose 0 = v + 3*f + 6 + 2, 3*v + 10 = -2*f. Let a be (v + 1 + 3)*1. Solve -y**2 + 4*y - 4 + a*y**3 - 4*y**3 + 4*y**2 - y**4 = 0 for y.
-2, 1
Let i(s) be the first derivative of 2*s**5/35 + 13*s**4/14 + 82*s**3/21 + 47*s**2/7 + 36*s/7 - 218. Factor i(u).
2*(u + 1)**2*(u + 2)*(u + 9)/7
Let k(s) be the second derivative of s**6/20 + s**5/4 + s**4/4 + 11*s**2 + 7*s. Let t(z) be the first derivative of k(z). Factor t(d).
3*d*(d + 2)*(2*d + 1)
Determine b, given that -12/5 + 3/5*b**2 + 9/5*b = 0.
-4, 1
Let b(n) be the second derivative of 8*n + 1/48*n**4 + 0*n**3 + 0 + 1/120*n**6 - 1/40*n**5 + 0*n**2. What is q in b(q) = 0?
0, 1
Let a = -32501 - -32504. Factor -1/8*y**a + 1/4*y**2 + 3/8*y + 0.
-y*(y - 3)*(y + 1)/8
Let i(f) be the second derivative of f**5/4 - 35*f**4 + 1960*f**3 - 54880*f**2 - 2*f + 15. Solve i(x) = 0.
28
Let w(r) be the third derivative of 0*r**3 + 0*r + 23*r**2 - 1/120*r**5 + 1/6*r**4 + 0. Solve w(s) = 0.
0, 8
Let r(n) = n**4 + 2*n**3 - 2*n**2 + n - 1. Let x(u) = -u**5 + 17*u**4 + 24*u**3 - 30*u**2 + 16*u - 13. Let v(i) = -26*r(i) + 2*x(i). Solve v(h) = 0 for h.
-1, 0, 1, 3
Factor -77*t**3 + 28 + 146*t**3 + 141*t**2 + 111*t + 2 + 9*t**4.
3*(t + 1)**2*(t + 5)*(3*t + 2)
Let g = 19 + -19. Suppose g*w = -5*w. Factor -1/3*a**2 - 1/3*a**4 + 0 + w*a - 5/6*a**3.
-a**2*(a + 2)*(2*a + 1)/6
Let l(a) be the third derivative of -a**6/420 + a**4/84 - 54*a**2. Factor l(u).
-2*u*(u - 1)*(u + 1)/7
Suppose 3*o - 17 = -5*b, 4*b + 1 = b + o. Let f be b*(3 + -5) + 2. Solve 2/7*w**3 - 2/7*w**4 + f*w**2 + 0 + 0*w = 0.
0, 1
Suppose -2 = -3*h - 5, -3*h = -5*g + 53. Let m = 2 + 0. Suppose 3*o**3 + g*o**2 - 2*o**m + o**3 - 8*o**3 = 0. What is o?
0, 2
Let b(v) be the second derivative of -v**6/30 - v**5/10 + 46*v + 1. Find c such that b(c) = 0.
-2, 0
Let u = 1/7273 - -465463/65457. Find w, given that -64/9 - 20/9*w**2 - 2/9*w**3 - u*w = 0.
-4, -2
Suppose -32*m = -29*m - 15. Let k be 3/60*m*2. Solve 3/4*o**2 + 0 - k*o = 0 for o.
0, 2/3
Let s = 128 + -123. What is h in -118*h**2 - 15*h**4 + 67*h**2 + 66*h**2 - h**5 + s*h**3 - 4*h**5 = 0?
-3, -1, 0, 1
Suppose -f = -0*f - 64. Let a = -60 + f. Factor -2/11*c**a - 2/11*c**2 + 0 + 0*c - 4/11*c**3.
-2*c**2*(c + 1)**2/11
Let h(o) be the third derivative of -o**7/1260 + o**6/180 + o**5/360 - o**4/36 + 157*o**2. Suppose h(y) = 0. What is y?
-1, 0, 1, 4
Find a such that 21*a + 0 + 1/4*a**2 = 0.
-84, 0
Let x be (3/(-8) - (-276)/184)/(3/2). Factor -7/4*d**2 - 7/4*d + x*d**3 + 3/4.
(d - 3)*(d + 1)*(3*d - 1)/4
Let l(o) = o**3 - 3*o**2 - 2*o - 5. Let g be l(4). Suppose -5*b = -4*b - g. Factor 9*c**3 + b*c - 2*c - c + 6*c**2 + 3*c**4.
3*c**2*(c + 1)*(c + 2)
Factor 0 + 219/2*q - 3/2*q**2.
-3*q*(q - 73)/2
Suppose -4 = -5*a + 3*z, 5*a + 42*z - 6 = 44*z. Let g(l) be the third derivative of 0 + 0*l + 1/32*l**4 + l**a + 0*l**3 - 1/240*l**5. Factor g(n).
-n*(n - 3)/4
Let u = 565 - 563. Let c(y) be the second derivative of 0 + 0*y**u - y**4 + 0*y**5 - 3*y + 4/3*y**3 + 2/15*y**6. Solve c(s) = 0 for s.
-2, 0, 