et h = -792 - -792. Let z(x) be the third derivative of 2/105*x**7 + 1/10*x**6 + h*x - 1/2*x**4 + 3*x**2 + 1/15*x**5 - 4/3*x**3 + 0. Solve z(c) = 0.
-2, -1, 1
Suppose -7*z - 8 = -11*z. Let b be (3/z)/((-189)/(-144)). Suppose 0 + b*l**2 + 2/7*l = 0. What is l?
-1/4, 0
Let r(f) be the first derivative of f**2 - 1/3*f + 30 + 1/3*f**4 - f**3. Factor r(m).
(m - 1)**2*(4*m - 1)/3
Factor -250 + 16*m**4 - 2*m**2 - 9*m**3 + 2*m**3 + 240 + 21*m - 13*m**3 - 4*m**4 - m**5.
-(m - 10)*(m - 1)**3*(m + 1)
What is o in -40/7*o - 2/7*o**2 + 6 = 0?
-21, 1
Let j(x) = 4*x**3 - 24*x. Let k(z) = z**2 + 3*z. Let i(p) = -j(p) - 8*k(p). Solve i(q) = 0 for q.
-2, 0
Let z(s) be the first derivative of -1/27*s**6 - 1/9*s**4 + 1/3*s**2 - 11 - 2/9*s - 4/27*s**3 + 2/15*s**5. Factor z(o).
-2*(o - 1)**4*(o + 1)/9
Let a(q) = 20*q**3 - 178*q**2 + 175*q - 31. Let b(y) = y**3 - y**2 - y - 1. Let j(z) = -2*a(z) + 14*b(z). Determine d so that j(d) = 0.
2/13, 1, 12
Let b(k) = -k + 6. Let h be b(2). Factor 15*n + 3*n**5 + 0*n**4 - 15*n**h + 21*n**3 + 9*n**3 - 3 - 30*n**2.
3*(n - 1)**5
Factor 89*n - 163*n**2 + 165*n**2 + 63*n.
2*n*(n + 76)
Let a(f) be the second derivative of f**6/15 - 11*f**5/100 + f**4/60 - 457*f. Let a(y) = 0. What is y?
0, 1/10, 1
Find a such that -20/7*a**4 - 8/7*a - 4*a**2 - 36/7*a**3 + 0 - 4/7*a**5 = 0.
-2, -1, 0
Suppose -2*b + 3*b - 40 = 5*l, 0 = 2*b + 3*l - 80. Factor -b*j - 38 - 3*j**2 - 18 - 4 - 2*j**2.
-5*(j + 2)*(j + 6)
Let g(s) be the first derivative of -2/45*s**5 + 0*s + 49 + 0*s**4 + 2/9*s**3 - 2/9*s**2. Determine v, given that g(v) = 0.
-2, 0, 1
Let u be ((-40)/6)/((-8)/6). Suppose 3*y + 11 = q, 0*q - q - 5*y - 5 = 0. Factor j**u + j**2 + 2*j**5 + 9*j**4 + 2*j**2 + 9*j**3 + 0*j**q.
3*j**2*(j + 1)**3
Let l = 11 - 9. Let a = -1/165 + 443/495. Determine s, given that 2/3 + 2/9*s**l + a*s = 0.
-3, -1
Suppose 5*f = -4*a + 18, -5*a = 2*f - 0*a + 3. Let p be 390/25 - f/(-15). Find l, given that -32 + l**3 - p*l - 52*l**2 + 3*l**3 + 60*l**2 = 0.
-2, 2
Let m(a) be the second derivative of -a**4/12 + 31*a**3/6 + 16*a**2 + 327*a. Determine u, given that m(u) = 0.
-1, 32
Factor -380/11*w**2 + 2/11*w**4 + 172/11*w**3 - 350*w + 12250/11 - 2/11*w**5.
-2*(w - 5)**3*(w + 7)**2/11
Let y be 11 - (7 - (-6)/2 - 1). Factor -2*c + 2/3 - 8/3*c**y.
-2*(c + 1)*(4*c - 1)/3
Find f, given that -4 + 4 + 25*f - 60*f + 5*f**2 = 0.
0, 7
Let i be 23/(-3) - (-6)/(-18). Let o be i/(-42)*(2 - -1). Factor 2/7*b**2 + 0 + o*b.
2*b*(b + 2)/7
Let s(r) be the second derivative of 0 - 1/120*r**5 + 1/24*r**4 - 1/18*r**3 + 0*r**2 - 8*r. Factor s(t).
-t*(t - 2)*(t - 1)/6
Find u such that 96 + 3*u**2 + 60*u - 3/2*u**3 = 0.
-4, -2, 8
Suppose 14 - 2 = 4*l. Suppose -b = -j - j + 5, 3*b = -l*j + 21. Factor 15*t**3 + 10*t**2 - 6*t**b - 8*t - 3*t**3 - 8.
2*(t - 1)*(t + 2)*(3*t + 2)
Let d(m) be the first derivative of m**6/51 + 16*m**5/85 + 3*m**4/17 - 80*m**3/51 + 25*m**2/17 + 266. Factor d(b).
2*b*(b - 1)**2*(b + 5)**2/17
Let z = 39 - 39. Find k such that -3*k**4 + 6 + 0 - 9*k**3 + z*k**4 + 9*k + 0*k**4 - 3*k**2 = 0.
-2, -1, 1
Let g(w) be the first derivative of w**6/9 - 2*w**5/3 + w**4 + 275. Factor g(k).
2*k**3*(k - 3)*(k - 2)/3
Find h, given that 10/3 - 116/9*h + 22/9*h**2 = 0.
3/11, 5
Let o(n) be the first derivative of -n**6/45 - n**5/30 + n**4/9 + 2*n + 16. Let h(g) be the first derivative of o(g). What is c in h(c) = 0?
-2, 0, 1
Let z(o) be the second derivative of o**7/6300 - o**6/225 + 4*o**5/75 - o**4/12 - 13*o. Let g(x) be the third derivative of z(x). Solve g(k) = 0 for k.
4
Let t(q) be the first derivative of q**6/12 - 4*q**5/5 + 9*q**4/4 - 8*q**3/3 + 5*q**2/4 - 51. Determine w, given that t(w) = 0.
0, 1, 5
Let f(o) be the third derivative of 0 - 1/75*o**5 - 1/150*o**6 + o**2 + 0*o**3 + 1/15*o**4 + 0*o. Factor f(j).
-4*j*(j - 1)*(j + 2)/5
Determine n, given that -8/11*n**2 + 0 + 2/11*n**4 - 16/11*n + 4/11*n**3 = 0.
-2, 0, 2
Suppose 0 = -30*t + 89 + 1. Let x(r) be the first derivative of 1 - 2/5*r + 1/10*r**2 + 1/15*r**t. Factor x(q).
(q - 1)*(q + 2)/5
Let q be 1 - (-10 - (-91)/35). Determine o, given that q*o**2 + 48/5*o - 98/5*o**3 + 8/5 = 0.
-2/7, 1
Suppose -4*r - 37 = -4*x - 5, -2*r = 8. Let n(c) be the second derivative of 1/6*c**3 - 1/6*c**x + c**2 - 1/20*c**5 + 0 - 7*c. Suppose n(l) = 0. What is l?
-2, -1, 1
Suppose 29*k + 5 = 4*t + 34*k, 2*k - 2 = -4*t. Let i be 2/(-5) - 36/(-15). Suppose 4/3 + t*u**i + 2*u - 2/3*u**3 = 0. Calculate u.
-1, 2
Let c be 34/(-6) + 18/27 - -5. Factor c + 1/2*g**4 - 1/2*g**2 - 3/2*g**3 + 1/2*g**5 + g.
g*(g - 1)**2*(g + 1)*(g + 2)/2
Let d be (2/(-14))/((-194)/4753). Factor 2*z - d*z**2 + 2 + z**3.
(z - 2)**2*(2*z + 1)/2
Let r = 15 - 12. Suppose -81 = -r*b + 6. Factor -1 + 1 + 33*a - b*a + 2*a**2 - 6*a**3.
-2*a*(a - 1)*(3*a + 2)
Let d(k) be the third derivative of -k**7/1260 - k**6/108 - k**5/45 + k**3 - 21*k**2. Let f(g) be the first derivative of d(g). Factor f(t).
-2*t*(t + 1)*(t + 4)/3
Let l(r) be the second derivative of r**4/6 - 4*r**3 + 20*r**2 - 3*r + 43. Factor l(d).
2*(d - 10)*(d - 2)
Factor 6/13*v - 6/13*v**2 + 2/13*v**3 - 2/13.
2*(v - 1)**3/13
Suppose 0 = 19*h - 15 - 80. Let k(x) be the second derivative of 1/15*x**6 + 0*x**3 + 0*x**2 - 6*x + 1/6*x**4 + 0 - 1/5*x**h. Factor k(r).
2*r**2*(r - 1)**2
Factor 4*t**2 - 45 - 45*t - 3*t**3 - 24*t - 31*t**2.
-3*(t + 1)*(t + 3)*(t + 5)
Let y = 54 + -48. Let m = -5 - -7. Let 0*a**2 + y*a - 8*a - a**m = 0. Calculate a.
-2, 0
Let h(l) be the first derivative of -l**3/3 - l**2/2 + 2*l - 62. Find b, given that h(b) = 0.
-2, 1
Solve 257*u**4 - 10*u**3 - 25*u**2 - 510*u**4 + 258*u**4 + 30*u = 0.
-2, 0, 1, 3
Let z(b) be the second derivative of 5*b**4/12 + 25*b**3/3 + 105*b**2/2 + 9*b + 2. Factor z(j).
5*(j + 3)*(j + 7)
Let y = -3412 - -3416. Let 1/3*p**y - 2*p**2 + 0*p**3 - 1 + 8/3*p = 0. What is p?
-3, 1
Let m(a) be the third derivative of -5*a**8/1344 - a**7/63 - a**6/144 + a**5/12 - 7*a**4/6 + 18*a**2. Let x(p) be the second derivative of m(p). Factor x(i).
-5*(i + 1)**2*(5*i - 2)
Let o(x) be the third derivative of x**5/4 + 7*x**4/8 + x**3 + 226*x**2. Suppose o(j) = 0. Calculate j.
-1, -2/5
Factor 0 - 1600/3*i**2 - 2/9*i**4 + 512*i + 194/9*i**3.
-2*i*(i - 48)**2*(i - 1)/9
Suppose 61*n - 66*n + 10 = 0. Let 20*r**4 + 4*r**2 - 6*r**n - 8*r**2 - 25*r + 5*r**5 - 10 + 7*r**3 + 13*r**3 = 0. Calculate r.
-2, -1, 1
Let j be (-1 - (0 + -1)) + 8/4. Let c be 0/2*(-4)/(-16)*j. Factor 0*w - 1/2*w**3 + 1/2*w**5 - 1/2*w**2 + c + 1/2*w**4.
w**2*(w - 1)*(w + 1)**2/2
Let h be (15/(-10) + 3)/((-6)/(-16)). Let b(m) be the first derivative of 0*m - 1/10*m**2 - 3 + 4/15*m**3 - 3/20*m**h. Solve b(u) = 0.
0, 1/3, 1
Let v(s) be the second derivative of 0*s**2 - 1/15*s**3 + 0 + 1/90*s**4 + 9*s. Factor v(y).
2*y*(y - 3)/15
Factor 18/5*k**2 + 0*k + 0 + 16/5*k**4 - 7*k**3 + 1/5*k**5.
k**2*(k - 1)**2*(k + 18)/5
Let c(x) = x**2 - 153*x + 378. Let v(f) = -51*f + 126. Let p(g) = -3*c(g) + 8*v(g). Factor p(m).
-3*(m - 14)*(m - 3)
Let o = 60 - 59. Let q be (-9)/(-6) - (2 - o). Factor 0 + q*g**3 + g + 3/2*g**2.
g*(g + 1)*(g + 2)/2
Let p(u) = 3*u**2 - u**3 + 158*u - 2*u**2 - 160*u + 3*u**2. Let o be p(3). Find k such that 1/7 + 0*k**2 + 2/7*k**o - 2/7*k - 1/7*k**4 = 0.
-1, 1
Let a(j) be the first derivative of -3*j**5/10 + 2*j**4/3 + 4*j**3/3 + 19*j - 11. Let r(v) be the first derivative of a(v). Factor r(w).
-2*w*(w - 2)*(3*w + 2)
Find w such that 6*w**4 - 9 + 11 - 172*w**3 - 2 - 58*w**2 = 0.
-1/3, 0, 29
Factor 0 + 11/6*p - 5/3*p**2 - 1/6*p**3.
-p*(p - 1)*(p + 11)/6
Let s = -68 + 69. Let z = s + 1. Solve 8/3 + 32/3*k + 14/3*k**z = 0 for k.
-2, -2/7
Let q = 29054/8877 - 2/8877. Suppose 78/11*m - q - 40/11*m**2 + 6/11*m**3 = 0. Calculate m.
2/3, 3
Let l(z) be the third derivative of 3/100*z**6 + 0 - 4/175*z**7 - z + 3/560*z**8 + 0*z**5 + 0*z**3 - 1/40*z**4 + 9*z**2. Determine k, given that l(k) = 0.
-1/3, 0, 1
Let b(f) = -3*f - 51. Let j be b(-19). Let y = -2 + 5. Find h such that -3*h**3 + 3*h**5 - j*h**4 + 0*h**4 - y*h**2 + 9*h**2 = 0.
-1, 0, 1, 2
Let l be 19/((-76)/1056) + -1 + -1. Let z = 1874/7 + l. Factor 2/7*h**2 + 18/7 + z*h.
2*(h + 3)**2/7
Find i such that -4*i + 10/3*i**2 + 2/3*i**5 + 10/3*i**3 - 10/3*i**4 + 0 = 0.
-1, 0, 1, 2, 3
Let t(s) be the first derivative of -4/33*s**3 - 1/11*s**2 + 16 + 1/22*s**4 + 4/11*s. Find d such that t