((-7)/((-105)/(-36)) - -5). Let -6*h**2 + 16/5*h**3 + 32/5*h**4 + 0 - l*h = 0. Calculate h.
-3/4, 0, 1
Let l(y) be the third derivative of -y**8/8064 - y**7/504 - y**6/72 + y**5/3 + 2*y**2 - 1. Let o(g) be the third derivative of l(g). Factor o(k).
-5*(k + 2)**2/2
Let w(k) be the third derivative of k**4/24 - k**3/3 - 43*k**2. Let f be w(4). Factor -2/7*z**3 + 4/7*z + 2/7*z**f + 0.
-2*z*(z - 2)*(z + 1)/7
Let k(j) be the third derivative of 0 - 625/12*j**3 - 9*j**2 + 125/12*j**4 - 5/4*j**5 - 1/420*j**7 + 0*j + 1/12*j**6. What is q in k(q) = 0?
5
Let n = 9 - 4. Factor -12*a + 2*a**2 + 6*a**2 - n*a**2.
3*a*(a - 4)
Let g = -53 + 797/15. Let v(o) = o**3 + 5*o**2 - 7*o - 4. Let j be v(-6). Factor 0 + 0*x**3 + g*x**4 - 4/15*x - 2/5*x**j.
2*x*(x - 2)*(x + 1)**2/15
Let m be (48/8 + -6)/(-1). Let z(u) be the third derivative of -u**2 - 1/6*u**5 + m - 4/3*u**3 + 1/60*u**6 + 2/3*u**4 + 0*u. Factor z(o).
2*(o - 2)**2*(o - 1)
Let y be 11/275*2*5/192. Let z(q) be the third derivative of y*q**6 - 1/1344*q**8 + 0*q**7 + 0*q**5 + 2*q**2 + 0*q + 0*q**3 + 0 + 0*q**4. Solve z(j) = 0.
-1, 0, 1
Let d(w) be the first derivative of -w**7/42 + w**6/30 + w**5/10 - w**4/6 - w**3/6 + w**2/2 + 2*w + 5. Let i(m) be the first derivative of d(m). Factor i(s).
-(s - 1)**3*(s + 1)**2
Let a(y) = -3*y - 1. Let s be a(-2). Suppose -s*v + 4 = -4*v. Factor 0*g - 2/7*g**2 + 0 - 2/7*g**3 + 2/7*g**5 + 2/7*g**v.
2*g**2*(g - 1)*(g + 1)**2/7
Let d(c) be the second derivative of 2*c**7/21 - 6*c**6/5 + 11*c**5/5 + 25*c**4/3 - 16*c**3 - 56*c**2 + 183*c. Solve d(x) = 0 for x.
-1, 2, 7
Factor 13/3*t**2 - 2*t**3 + 1/3*t**4 + 4/3 - 4*t.
(t - 2)**2*(t - 1)**2/3
What is z in -2/3*z - 2/9*z**2 - 4/9 = 0?
-2, -1
Let f be 1/(-1*(-14)/32) - 2/7. Let -64/9*i - 256/9 - 4/9*i**f = 0. What is i?
-8
Let r(h) be the first derivative of 5/2*h**2 + h**5 + 0*h - 5/4*h**4 - 5/3*h**3 + 15. Factor r(a).
5*a*(a - 1)**2*(a + 1)
Let i be (-6)/30 - 46/(-5). Find f, given that -9*f + 0 + 0 + i*f**3 + 3*f**2 + 3*f**4 - 6 = 0.
-2, -1, 1
Let n(o) be the first derivative of 0*o**2 - 1/4*o**4 + 1/6*o**6 + 4*o - 7/3*o**3 + 3/5*o**5 + 7. Solve n(v) = 0 for v.
-2, -1, 1
Let y(s) = -3*s**2 + 7*s - 8. Let n be y(2). Let m be n/4 + (-77)/(-44). Factor 1/4*g**4 + 0*g**3 + m - 1/2*g**2 + 0*g.
(g - 1)**2*(g + 1)**2/4
Let u(p) be the second derivative of p**4/24 - 29*p**3/12 - 15*p**2/2 + p + 350. Let u(i) = 0. What is i?
-1, 30
Let l = -4188/7 + 33609/56. Determine d, given that 27/8*d**3 + 3/4*d - 21/8*d**2 + 0 - l*d**4 + 3/8*d**5 = 0.
0, 1, 2
Let 1/6*j + 1/6*j**2 - 2 = 0. Calculate j.
-4, 3
Let c(z) be the first derivative of 21 + 1/3*z**3 + 1/2*z**2 - 2*z. Solve c(b) = 0.
-2, 1
Suppose -119 = 9*w - 155. Let n(c) be the second derivative of 5*c**3 + 21/40*c**5 - 2*c**2 + 0 + 49/60*c**6 - 61/12*c**w + 4*c. Solve n(u) = 0.
-2, 2/7, 1
Let f(h) = h**3 + 5*h**2 - 4*h + 11. Let l be f(-6). Let p be (-18)/24 - (-2 + l + 2). Find y such that 0*y - 1/4*y**2 + 0 - p*y**3 = 0.
-1, 0
Factor 0*z**4 - 2*z**4 - 244*z**2 + 246*z**2.
-2*z**2*(z - 1)*(z + 1)
Let u = -39 + 41. What is i in i**3 - 28*i**3 + 4*i**2 + 2*i**u = 0?
0, 2/9
Let p = -26 - -46. Let w + 5*w**2 + 12*w - p - 3*w + 5*w = 0. Calculate w.
-4, 1
Let t be 240/39 + (36/(-78))/3. Let p(j) be the second derivative of 16/7*j**2 + 0*j**4 - 1/105*j**t - 3*j - 2/35*j**5 + 0 + 16/21*j**3. Factor p(k).
-2*(k - 2)*(k + 2)**3/7
Suppose 2*f + 4 = 3*i, -13*f - 24 = -3*i - 16*f. Let g(w) be the first derivative of 0*w + 0*w**2 - 5/2*w**6 - 3/2*w**i - 21/5*w**5 + 0*w**3 - 9. Factor g(q).
-3*q**3*(q + 1)*(5*q + 2)
Let l(z) be the first derivative of -5/3*z**3 + 5*z**2 + 5/6*z**6 + 53 + z**5 + 0*z - 15/4*z**4. Factor l(j).
5*j*(j - 1)**2*(j + 1)*(j + 2)
Let r be (-4)/24 - 26*(-3)/684. Let l = r - -85/171. Factor -l*k + 2/9*k**2 + 0 + 2/3*k**3.
2*k*(k + 1)*(3*k - 2)/9
Let l(x) be the second derivative of 0*x**2 - 11/32*x**4 - 7/80*x**6 + 0 - 3/10*x**5 - 23*x - 1/8*x**3. Solve l(g) = 0.
-1, -2/7, 0
Let d(w) be the first derivative of -5/4*w**4 + 5*w**2 + 2 + 5*w**3 - 5/6*w**6 + 0*w - 3*w**5. What is c in d(c) = 0?
-2, -1, 0, 1
Let 5 - 18*g**2 - 2*g + 16*g**2 - 1 = 0. Calculate g.
-2, 1
Solve 192*c - 471 + 961 - 4*c**2 + 8*c**2 + 1814 = 0 for c.
-24
Factor 3/5*m**3 + 0 + 9/5*m - 12/5*m**2.
3*m*(m - 3)*(m - 1)/5
Let d(a) be the first derivative of 2*a**5/135 - a**4/54 - 2*a**3/9 - 9*a**2/2 + 9. Let v(p) be the second derivative of d(p). Find z such that v(z) = 0.
-1, 3/2
Find l, given that 0*l + 4/21*l**3 + 2/21*l**5 + 0 + 2/7*l**4 + 0*l**2 = 0.
-2, -1, 0
Let j = 104/165 - -2/55. Let w = j - 1/6. Solve -3/4*s + 1/4*s**2 + w = 0.
1, 2
Let n(y) be the first derivative of -y**4/24 + 13*y**3/18 - 8*y**2/3 + 10*y/3 - 331. Solve n(j) = 0 for j.
1, 2, 10
Factor 21/5*r**2 - 9*r + 27/5 - 3/5*r**3.
-3*(r - 3)**2*(r - 1)/5
Let g(a) be the second derivative of 1/85*a**6 + 17*a + 0*a**2 + 0 + 1/357*a**7 + 3/170*a**5 + 1/102*a**4 + 0*a**3. Factor g(q).
2*q**2*(q + 1)**3/17
Let p = -145 + 145. Let j(y) be the second derivative of 0 + p*y**4 + 1/40*y**5 - 1/4*y**3 + 1/2*y**2 - 3*y. Factor j(s).
(s - 1)**2*(s + 2)/2
Let k(j) = -45*j**2 - 145*j - 110. Let t(i) = 5*i**2 + 16*i + 12. Let u(n) = -4*k(n) - 35*t(n). Factor u(c).
5*(c + 2)**2
Let a = -53/3 + 913/51. Factor a*r**5 + 2/17*r**4 + 0 + 0*r - 2/17*r**3 + 0*r**2.
2*r**3*(r + 1)*(2*r - 1)/17
What is k in 473*k**2 - 937*k**2 + 469*k**2 - 325*k + 320 = 0?
1, 64
Let d(w) be the first derivative of -2/21*w**3 + 4 - 2/7*w + 2/7*w**2. Solve d(a) = 0.
1
Let 1/7*f**3 + 0*f**2 + 0 - 1/7*f = 0. What is f?
-1, 0, 1
Let u be (-3 + (-285)/(-133))*(-21)/9. Determine q, given that -3/2*q**u - 75/2 + 15*q = 0.
5
Let a(r) be the second derivative of -7*r**4/12 + 3*r**3/2 + 3*r**2/2 + r. Let q(z) = -4*z**2 + 5*z + 2. Let o(x) = 3*a(x) - 5*q(x). What is y in o(y) = 0?
1
Let w(d) be the third derivative of 0*d + 1/300*d**6 + 0*d**3 + 1/150*d**5 + 0 - 1/30*d**4 - 31*d**2. What is v in w(v) = 0?
-2, 0, 1
Let l = 185 - 182. Let o(q) be the second derivative of 0 - 1/5*q**2 + 4*q + 1/5*q**l - 1/15*q**4. Factor o(n).
-2*(n - 1)*(2*n - 1)/5
Let m(b) = 2*b**2 - 1. Let o be m(2). Suppose o = 2*k - 3. Suppose -6*r**5 + 2*r**4 - 22*r**4 + 20*r**2 + 14*r**k - 8*r = 0. What is r?
-1, 0, 1/2, 1, 2
Let j be (-4)/78 + (-1120)/(-546). Factor 0 + 6/5*z - 36/5*z**3 - 9/5*z**j - 21/5*z**4.
-3*z*(z + 1)**2*(7*z - 2)/5
Let u(h) be the second derivative of -7*h**7/10 + 7*h**6/3 - 129*h**5/100 - 139*h**4/30 + 46*h**3/5 - 36*h**2/5 + 5*h + 6. What is g in u(g) = 0?
-1, 2/3, 6/7, 1
Suppose -y - 18 = -4*y. Let z be (-3)/y + (-10)/(-4). What is p in -3/2*p**4 + 7/2*p**z + 0 + p + p**3 = 0?
-1, -1/3, 0, 2
Let u(j) = j**3 + 4*j**2 + 15*j + 17. Let v = 19 - 17. Let c(k) = -2*k**2 - 8*k - 8. Let w(a) = v*u(a) + 5*c(a). Factor w(s).
2*(s - 3)*(s + 1)**2
Let o(u) be the first derivative of 4/3*u**2 + 0*u - 2/3*u**4 - 10/3*u**3 - 1. Let o(k) = 0. What is k?
-4, 0, 1/4
Let i = -43996/3 - -14666. Find x, given that -16/3 + i*x**5 + 4/3*x**2 - 8*x + 22/3*x**3 + 4*x**4 = 0.
-2, -1, 1
Suppose -562*r + 567*r - 20 = 0. Let u be (-8)/(-1188)*411 - r/18. Find p, given that 62/11*p**3 - 36/11*p**2 + 4/11 - 2/11*p - u*p**4 = 0.
-2/7, 1/2, 1
Let n(z) = 6*z + 17. Let a be n(7). Let q = a - 115/2. Factor q*t**2 + 0 + t + 1/2*t**3.
t*(t + 1)*(t + 2)/2
What is c in -3/7*c**3 + 75/7*c**2 + 81/7 + 159/7*c = 0?
-1, 27
Let r(t) be the first derivative of -20 + 3/2*t**3 - 6*t - 3/8*t**4 + 0*t**2. Find d such that r(d) = 0.
-1, 2
Let v(x) = -x**3 - 19*x**2 - 67*x - 101. Let f be v(-15). Factor 0 - 2/15*o**5 + 4/5*o**3 + 0*o - 2/15*o**f + 0*o**2.
-2*o**3*(o - 2)*(o + 3)/15
Let n(g) be the first derivative of g**9/2268 - g**8/2520 + 5*g**3/3 + 19. Let d(f) be the third derivative of n(f). Let d(h) = 0. What is h?
0, 1/2
Let q(c) = -c**3 - 9*c**2 - c - 7. Let z be q(-9). Suppose -n = 3*n + 3*f - 29, -3*f = z*n - 19. Factor -d**2 + d**3 - d**n - 2*d**2 + 3*d**2.
-d**3*(d - 1)*(d + 1)
Suppose 8*m = 500 - 36. Suppose -2*b**4 - m*b**2 - 3*b**4 + 63*b**2 + 5*b - 5*b**3 = 0. Calculate b.
-1, 0, 1
Let w be 2/(-2) + 0 - (-20)/4. Factor 41*g**2 - g + 4 - 40*g**2 - w*g.
(g - 4)*(g - 1)
Solve 8/7*f - 132/7*f**2 + 48/7*f**3 - 4/7*f**4 + 192/7 = 0 for f.
-1, 2, 3, 8
Let z(a) be the first derivative of -a**4/14 - 338*a**3/21 - 1032*a**2 - 2016*a - 138. 