/156 + 4*z**3/13 + 78*z**2. Determine i so that a(i) = 0.
-1, 12
Let r be (1/2 - 0) + 54/4. Suppose 0 = -4*k + 34 + r. Factor 0 + 27/2*h**4 - 9/2*h**3 - k*h**2 + 6*h.
3*h*(h + 1)*(3*h - 2)**2/2
Let z(x) be the third derivative of x**9/151200 + x**8/16800 - x**7/3150 - 9*x**5/20 - 24*x**2. Let s(g) be the third derivative of z(g). Factor s(u).
2*u*(u - 1)*(u + 4)/5
Let p = 11 - 2. Factor -d**3 - 12 - 5*d**4 + p*d**3 + 16*d**2 + d**4 - 8*d.
-4*(d - 3)*(d - 1)*(d + 1)**2
Let c = 34709 - 104126/3. Determine b, given that 4*b + 12 + c*b**2 = 0.
-6
Suppose 0 = -2*n - 4*s + 28, s + 0*s = 5. Let z(w) = -3*w + 1. Let f be z(-1). Solve -1 + 2*m**4 + m**2 + n*m**2 - 3*m**f - 3*m**2 = 0.
-1, 1
Let a be 2/(-9) + (-22)/(-90)*-22 + 6. Suppose -a*t**2 + 8/5 - 6/5*t = 0. Calculate t.
-4, 1
Let b = -3775 - -3777. Find x such that -1/5*x**4 + 2/5 + 1/5*x**3 - x + 3/5*x**b = 0.
-2, 1
Let s = 11 + -9. Factor 3*j**2 + 3*j - 7*j**s + j**2 + 3*j.
-3*j*(j - 2)
Let c be (-33)/18 - 10 - -12. Let -1/6*b**4 - c + 0*b**3 + 0*b + 1/3*b**2 = 0. Calculate b.
-1, 1
Factor 1/6*q**2 + 1587/2 + 23*q.
(q + 69)**2/6
Let h(f) = f**4 + 39*f**3 + 155*f**2 + 187*f. Let g(q) = -q**4 + q**2 - q. Let u(w) = -2*g(w) + h(w). Suppose u(b) = 0. What is b?
-7, -3, 0
Let q(w) be the third derivative of w**8/252 + 22*w**7/315 - w**6/30 - 7*w**5/9 - 11*w**4/9 + 301*w**2. Determine f so that q(f) = 0.
-11, -1, 0, 2
Let s be (-29 - -4) + 8787/348. Factor 7/4*g**4 + 5/4*g**2 - s*g + 0 - 9/4*g**3 - 1/2*g**5.
-g*(g - 1)**3*(2*g - 1)/4
Let a(w) be the second derivative of 1/5*w**5 + 0*w**4 + 0 - 2/3*w**3 + 6*w + 0*w**2. Factor a(f).
4*f*(f - 1)*(f + 1)
Let p(w) = w**4 + 19*w**2 - 12*w - 3. Let d(o) = -o**3 - 2*o**2 + o + 1. Let r(g) = 15*d(g) + 3*p(g). Factor r(c).
3*(c - 2)*(c - 1)**3
Let t = 98 - 89. Let x be (t/36)/(9/8). Find r, given that 4/9*r**2 + 0 + 2/9*r + x*r**3 = 0.
-1, 0
Determine t so that -22/3*t**4 - 2/3*t**5 + 120 - 2/3*t**2 - 70/3*t**3 + 104*t = 0.
-5, -3, -2, 2
Let c(f) = 9*f - 2*f - 8 - 6*f. Let i be c(10). Solve 3/2*h**i + 2*h - 2 = 0 for h.
-2, 2/3
Suppose t - 6 = -2*t. Find o such that 2*o**2 - 5*o + 1 + 3*o + o**t - 2*o = 0.
1/3, 1
Let f(z) be the second derivative of z**4/4 + 13*z**3 + 507*z**2/2 + 7*z + 3. Factor f(n).
3*(n + 13)**2
Let p(b) be the second derivative of 2/21*b**7 - 2/3*b**4 + 0*b**5 + 6*b + 0*b**2 + 4/15*b**6 + 0 - 2/3*b**3. Find w such that p(w) = 0.
-1, 0, 1
Solve -34/13*g**4 + 16/13*g - 56/13*g**2 + 6/13*g**5 + 68/13*g**3 + 0 = 0.
0, 2/3, 1, 2
Let w be 10/2 - (-1 - 450/(-99)). Solve 2/11*u**2 - w*u - 8/11 + 4/11*u**3 = 0 for u.
-2, -1/2, 2
Let b(c) be the third derivative of -c**6/420 - c**5/42 - 2*c**4/21 - 4*c**3/21 + 14*c**2 - 3*c. What is o in b(o) = 0?
-2, -1
Suppose 3*o + 4*g + 24 = 0, -262*g + 52 = 4*o - 266*g. What is u in -69/4*u**3 - 9/4*u**o + 27/2 - 165/4*u**2 - 99/4*u = 0?
-3, -2, 1/3
Suppose 8*u - 39 = 1. Let s(p) be the third derivative of 0*p**4 + 1/40*p**6 + 0*p**3 + 0 + 0*p - p**2 - 1/20*p**u. Factor s(i).
3*i**2*(i - 1)
Factor 8*a + 7*a**3 - 5*a**3 + 24 - 4*a**3 + a**3 - 36*a + 10*a**2.
-(a - 6)*(a - 2)**2
Let b be (-3 + (-5)/(-2))*(3 + -3). Let x(z) be the third derivative of b*z - 3/2*z**3 + 1/20*z**5 + 0 + 1/4*z**4 - 5*z**2. Find q such that x(q) = 0.
-3, 1
Let z(q) be the second derivative of -q**5/360 - q**4/48 - 6*q**2 - 4*q. Let w(p) be the first derivative of z(p). Factor w(o).
-o*(o + 3)/6
Factor 12/5*p + 16/5 + 2/5*p**2.
2*(p + 2)*(p + 4)/5
Let t(x) be the third derivative of 1/5*x**5 + 0 - 2/35*x**7 - 1/84*x**8 + 1/3*x**4 - 1/30*x**6 + 0*x**3 + 0*x - 6*x**2. Determine a, given that t(a) = 0.
-2, -1, 0, 1
Let h(i) be the second derivative of -i**6/225 + i**5/25 - 7*i**4/90 - 2*i**3/15 + 8*i**2/15 - 31*i - 1. Find v, given that h(v) = 0.
-1, 1, 2, 4
Let y(r) be the first derivative of -r**4/4 + 5*r**3 - 63*r**2/2 + 49*r + 64. What is t in y(t) = 0?
1, 7
Solve -104*m**2 - 107*m**3 - 340*m**2 + 14*m**2 - 1555*m + 1 - 7 + 1226*m = 0.
-3, -1, -2/107
Let v(q) be the third derivative of q**8/2016 + q**7/630 - q**6/144 - q**5/36 + q**4/36 + 2*q**3/9 + q**2 + 24. Suppose v(z) = 0. Calculate z.
-2, -1, 1, 2
Let k(i) = -i**3 - i**2 + i - 2. Let t(q) = q**4 + q**2 + 9*q - 2. Let d(a) = -6*k(a) - 2*t(a). Determine n so that d(n) = 0.
-2, 1, 2
Solve 1228*i**2 - 24*i**4 - 3*i**5 - 1150*i**2 + 48*i + 15*i**3 - 6*i**3 = 0.
-8, -1, 0, 2
Suppose -38*m = -43*m + 20. Factor c - 4 + m*c**2 - c**2 + c - c**2.
2*(c - 1)*(c + 2)
Let i(o) be the second derivative of 2*o**5/25 - 8*o**4/5 + 3*o**3 - 11*o**2/5 + o - 3. Let i(j) = 0. What is j?
1/2, 11
Let z(d) = -4*d - 2*d + d + 3*d. Let b be z(2). Let f(n) = 7*n**2 + 7*n - 2. Let r(c) = -8*c**2 - 8*c + 1. Let s(a) = b*r(a) - 5*f(a). Factor s(o).
-3*(o - 1)*(o + 2)
Solve -12/13*y**2 - 20/13*y**4 + 10/13*y + 0 - 48/13*y**3 + 6/13*y**5 = 0 for y.
-1, 0, 1/3, 5
Factor -14*i**2 - 12*i**2 - 4 - 6*i**2 + 16*i**3 + 20*i.
4*(i - 1)*(2*i - 1)**2
Let o(a) be the third derivative of 0 + 1/152*a**8 + 10*a**2 - 11/570*a**6 - 22/1995*a**7 + 0*a + 1/228*a**4 - 2/57*a**3 + 4/95*a**5. Let o(u) = 0. What is u?
-1, -2/7, 1/3, 1
Let o = -282/37 + 1521/185. Factor -3/5*c**5 - 6/5*c**3 - 9/5*c**4 + 6/5*c**2 + o + 9/5*c.
-3*(c - 1)*(c + 1)**4/5
Let r(g) = g**2 - 13*g - 30. Let j be r(15). Let -3/5*p**5 + 0*p**2 + 0*p - 3/5*p**4 + 0*p**3 + j = 0. Calculate p.
-1, 0
Let y be (-1074)/9 + 3/9. Let b = 122 + y. Let -1/2*j**2 + 1/6*j**b - 1/6 + 1/2*j = 0. What is j?
1
Determine g so that 33/2*g**2 - 3/2*g**4 + 9*g + 6*g**3 + 0 = 0.
-1, 0, 6
Let q be (16/(-18))/(12/(-18)). Let y be 0 + -3 - (4 + (-184)/24). Solve -2/3*t**2 + q - y*t = 0.
-2, 1
Let f = 6 - 10. Let q be -1 - -7 - (-16)/f. Factor 1/2*u**3 - 1/4*u**5 + 0*u**q - 1/4*u + 0 + 0*u**4.
-u*(u - 1)**2*(u + 1)**2/4
Find m such that 3*m + 12013*m**2 - 11978*m**2 + 37*m - 5*m**3 = 0.
-1, 0, 8
Suppose -18*k = -38*k + 100. Determine b so that -4/9*b**2 + 7/9*b**3 - 1/3*b**k - 4/9*b + 0 + 4/9*b**4 = 0.
-1, -2/3, 0, 1, 2
Let s(r) be the first derivative of r**7/70 + r**6/90 - r**5/15 + 10*r**3/3 - 8. Let f(k) be the third derivative of s(k). Factor f(y).
4*y*(y + 1)*(3*y - 2)
Let y be (-18)/15*400/(-150). Suppose -y - 16/5*o - 4/5*o**2 = 0. What is o?
-2
Let w be ((-18)/(-15))/((-42)/(-105)). Suppose -4*q + 12 = 2*x, -x - 3*x + q = w. Let -50/7*i**4 - 12/7*i**3 + 2*i**2 - 4*i**5 + x + 4/7*i = 0. Calculate i.
-1, -2/7, 0, 1/2
Let j = 27 - 403/15. Let w(t) be the first derivative of 1/15*t**6 + j*t**3 + 0*t + 3/10*t**4 - 6 + 6/25*t**5 + 0*t**2. Factor w(d).
2*d**2*(d + 1)**3/5
Let z be (8/36)/(4 + 105/(-27)). Find c, given that 6/5*c - 6/5*c**5 + 0*c**3 + 12/5*c**4 - 12/5*c**z + 0 = 0.
-1, 0, 1
Let c be ((-108)/24 - -7)*(-2)/(-10). Let j(o) be the second derivative of -c*o**4 + 0*o**2 + 3/2*o**3 + 10*o + 1/20*o**5 + 0. Factor j(k).
k*(k - 3)**2
Suppose -7*y + 6 = -2*y + 2*b, 0 = -4*y + b - 3. Let j be (y - 4/(-6)) + 20/6. Factor 14/3*r**3 + 1/3 - 1/3*r + r**5 - 2*r**2 - 11/3*r**j.
(r - 1)**4*(3*r + 1)/3
Find w, given that -2/5*w**5 - 122/5*w**3 + 256/5 + 448/5*w + 20*w**2 - 32/5*w**4 = 0.
-8, -1, 2
Find l such that -8*l**2 + 6 + 13 + 54*l - 4*l**3 + 8 - 2*l - 67 = 0.
-5, 1, 2
Suppose 5*i - 5*o = 15, -4*o + 4 = 4*i - 0*o. Factor 255*k**3 + 313*k**2 + 375*k**3 + 40*k - 13*k**i + 245*k**4.
5*k*(k + 2)*(7*k + 2)**2
Let f(t) be the third derivative of 1/3*t**4 + 0*t + 1/15*t**5 + 0*t**3 + 0 - 15*t**2. Factor f(j).
4*j*(j + 2)
Let g(n) be the second derivative of -n**6/120 - n**5/80 + n**4/8 - 59*n. Suppose g(h) = 0. Calculate h.
-3, 0, 2
Let h = 58441644/170597 - -2/24371. Find s, given that -1452/7*s**4 + 1436/7*s**2 + 16/7 - 264/7*s - h*s**3 + 2662/7*s**5 = 0.
-1, 2/11, 1
Suppose 0 = -2*u + 7*u - 5*s, u + 4*s - 20 = 0. Suppose 4*v - 12 = 4*b, u*v - 5 = 7. Factor -1/8*h**3 + b + 3/8*h + 1/4*h**2.
-h*(h - 3)*(h + 1)/8
Let x(p) = -2*p**2 + 36*p - 5. Let j be x(15). Let v = j + -82. Let -8/3*w**v + 4/3*w**5 - 1/3 - 1/3*w**4 + 4/3*w + 2/3*w**2 = 0. Calculate w.
-1, 1/4, 1
Let s(k) be the first derivative of 1/5*k**2 - 6 + 1/60*k**4 - 1/10*k**3 - 10*k. Let t(w) be the first derivative of s(w). Factor t(o).
(o - 2)*(o - 1)/5
Factor 592*y**4 + 33*y**2 - 593*y**4 + 15*y**3 + 2*y + 15*y.
-y*(y - 17)*(y + 1)**2
Determine v so that -722/9 + 76/9*v - 76/9*v**3 + 2/9*v**4 + 80*v**2 = 0.
-1, 1, 19
Suppo