+ 1/660*i**j - 1/132*i**4 + 0*i + 0*i**3 + 0. Factor a(n).
2*n*(n - 1)*(n + 1)/11
Determine h so that 4/13*h + 56/13*h**2 + 8/13*h**5 + 46/13*h**4 - 6/13 + 84/13*h**3 = 0.
-3, -1, 1/4
Let f(y) be the third derivative of -1/20*y**5 - 1/120*y**6 + y**2 + 0 + 0*y - 1/12*y**4 + 0*y**3. Suppose f(r) = 0. What is r?
-2, -1, 0
Let t(w) = -52*w + 2. Let k(h) = -h**2 + h - 1. Let j(r) = -4*k(r) - 2*t(r). Determine i, given that j(i) = 0.
-25, 0
Let r(d) be the first derivative of -4*d**5/5 + 7*d**4/4 + 14*d**3/3 + 3*d**2/2 - 531. Factor r(o).
-o*(o - 3)*(o + 1)*(4*o + 1)
Let n(p) be the first derivative of -p**5/5 + 3*p**4/4 + p**3/3 - 3*p**2/2 + 65. Suppose n(h) = 0. What is h?
-1, 0, 1, 3
Suppose 5*a - 25*q - 8 = -21*q, 0 = a - 4*q - 8. Find m, given that 1/3*m**5 + a + 0*m**4 + 0*m**2 + 0*m - 1/3*m**3 = 0.
-1, 0, 1
Let y = -218 + 223. Suppose 2 = -v - y*p, 0 = -3*v + p + 10. Solve 0 + 6/13*w**v + 0*w**4 + 0*w - 2/13*w**5 - 4/13*w**2 = 0.
-2, 0, 1
Let x(d) = d**3 - d**2 + d - 1. Let p(t) = -3*t**3 - 15*t**2 - 11*t + 101. Let h(s) = -2*p(s) - 2*x(s). Factor h(u).
4*(u - 2)*(u + 5)**2
Let i(q) be the first derivative of 23*q**2 + 12*q + 14/3*q**3 - 2. Factor i(k).
2*(k + 3)*(7*k + 2)
Let j(m) = -2*m**3 + 45*m**2 - 133*m. Let n be j(19). Determine d so that 1/3*d**3 - 1/3*d + n*d**2 + 1/6*d**4 - 1/6 = 0.
-1, 1
Let r be (0 - 15/100)/(-3). Let y(j) be the second derivative of 1/30*j**6 + r*j**5 - 1/6*j**3 + 4*j + 0*j**2 + 0 - 1/12*j**4. Find w such that y(w) = 0.
-1, 0, 1
Let d be -14 + ((-2)/8)/(4/(-16)). Let i = 13 + d. Factor 0*b + 1/4*b**3 + 1/4*b**4 + i*b**2 + 0.
b**3*(b + 1)/4
Let l(h) be the third derivative of -h**5/160 - 7*h**4/64 - 3*h**3/4 - 21*h**2 + 2*h. Find c such that l(c) = 0.
-4, -3
Let u(o) = 2*o**2 + o + 1. Let c(r) = 3*r**2 + 69*r - 117. Let g(i) = c(i) - 3*u(i). Suppose g(t) = 0. What is t?
2, 20
Let i be (-68)/238 + (-1)/(21/(-20)). Let m(s) be the second derivative of 0 + 3*s**2 + 1/18*s**4 + i*s**3 - 2*s. Suppose m(y) = 0. Calculate y.
-3
Let z(b) = b**3 + 14*b**2 + b + 16. Let r be z(-14). Let -6*a**2 + 2*a**3 - 9*a**2 - 12*a**r + 64*a + 256 - a**2 = 0. What is a?
-2, 8
Determine k so that 60 + k + 4*k - 6*k**2 + 2*k**2 - k**2 = 0.
-3, 4
Let o = 200 + -218. Let r = 20 + o. Find x, given that -6/7*x**3 - 12/7*x - 12/7 + 3*x**r = 0.
-1/2, 2
Suppose 10*n + 0*n = 20. Factor -81*o**2 - o - 6*o**3 + 5*o + 91*o**n.
-2*o*(o - 2)*(3*o + 1)
Let 10/7*a + 8/7 - 10/7*a**3 - 2/7*a**4 - 6/7*a**2 = 0. What is a?
-4, -1, 1
Let s be (-29)/((-319)/66) + (-5 - -1). Let l(b) be the first derivative of -2/3*b**s - 6 + 2/9*b**3 + 2/3*b. Let l(a) = 0. What is a?
1
Let v(n) be the third derivative of n**8/56 + 11*n**7/210 + n**6/30 - n**5/60 + 26*n**2 + 2. Factor v(p).
p**2*(p + 1)**2*(6*p - 1)
Let s = -165 + 491. Let k = s - 1301/4. Factor -k*a + 1/4*a**2 - 1.
(a - 4)*(a + 1)/4
Let b(u) be the third derivative of -u**4/24 + u**3/6 - 5*u**2. Let i be b(0). Let 2 - 2*o**2 + 1 - i = 0. Calculate o.
-1, 1
Let m = 50 - 48. Suppose j + 3*j = 0. Factor 3/4*c - 3/4*c**3 + 0*c**m + j.
-3*c*(c - 1)*(c + 1)/4
Let y be 16/(-6)*-201 - (4 + 0). Factor -y*v**2 + 516*v**2 - 8*v - 16*v**3 + 6*v**3 - 2*v**4.
-2*v*(v + 1)*(v + 2)**2
Suppose -24642/7 - 444/7*d - 2/7*d**2 = 0. Calculate d.
-111
Let r = -9496 - -9499. Factor -28/3*l**2 - 8 - 52/3*l + 4/3*l**r + 4/3*l**4.
4*(l - 3)*(l + 1)**2*(l + 2)/3
Let u(f) = 5*f + 11. Let y be u(8). Let i be y/9 - 8/12. Find z such that -i - 2*z + 2*z**2 + 5 + 2 - 6 = 0.
-1, 2
Suppose 6*x - 3*x - 2*j = -7, 2*j + 18 = -2*x. Let t(q) = -5*q - 22. Let a be t(x). Factor 0*s**2 + 0*s + 1/6*s**4 + 1/6*s**a + 0.
s**3*(s + 1)/6
Let n(v) = -9*v**3 - 3*v**2 + 16*v. Let i(t) be the third derivative of t**6/120 - t**4/24 - t**3/6 - 13*t**2. Let q(r) = -4*i(r) - n(r). Factor q(d).
(d - 1)*(d + 2)*(5*d - 2)
Let f(j) be the first derivative of -2 + 25/18*j**4 - 8/9*j**3 - 2/5*j**5 + 0*j - 4/9*j**2. Determine k so that f(k) = 0.
-2/9, 0, 1, 2
Let t(m) be the third derivative of m**5/105 - 19*m**4/42 + 32*m**3/7 - 101*m**2. Factor t(d).
4*(d - 16)*(d - 3)/7
Suppose 2*n - 2*h = -0*h + 2, 4*h - 12 = -4*n. Suppose -n*t - 3 = -7. Find d, given that 3/4*d**3 + 0*d + 0 + 3/2*d**t = 0.
-2, 0
Find p such that -4*p**2 - 11*p**3 + 7*p**3 - 43 + 45*p + 59 + 2*p**5 - 21*p - 10*p**3 = 0.
-2, -1, 2
Let p be (-34)/6 - 31/(62/(-12)). Let a(g) be the first derivative of -8 + 5/24*g**4 - 1/30*g**5 - p*g**2 + 4/3*g - 1/3*g**3. Solve a(d) = 0.
-1, 2
Factor -1/4*x**2 + 1/4*x + 1/2.
-(x - 2)*(x + 1)/4
Factor 24/7*j**3 + 26/7*j**2 + 2/7 + 8/7*j**4 + 12/7*j.
2*(j + 1)**2*(2*j + 1)**2/7
Suppose 0 = 28*c - 69 - 43. Let o(x) be the third derivative of 1/15*x**3 + 0*x - 1/150*x**5 + 0 - 1/300*x**6 + 1/60*x**4 + c*x**2. Factor o(p).
-2*(p - 1)*(p + 1)**2/5
Let u be (-42)/(-315) - (-652)/60. Let h(a) be the second derivative of 0*a**2 + 2/3*a**4 - 1/5*a**6 + u*a + 0*a**5 + 0 - 1/21*a**7 + 0*a**3. Factor h(z).
-2*z**2*(z - 1)*(z + 2)**2
Let c(a) be the third derivative of -a**6/720 - a**5/60 - a**4/16 + 3*a**3 - 20*a**2. Let g(r) be the first derivative of c(r). Factor g(n).
-(n + 1)*(n + 3)/2
Suppose 6*l = -14*l. Let x be (-3)/(-6)*(10 - 4). Factor l + 4/7*u**x - 2/7*u**5 + 0*u**2 - 2/7*u + 0*u**4.
-2*u*(u - 1)**2*(u + 1)**2/7
Let w = 433 + -298. Let u = w - 66. Determine a so that -2*a**2 + u - 69 + 2*a**4 = 0.
-1, 0, 1
Find j, given that 8/9*j + 64/9 - 16/3*j**2 - 22/9*j**3 - 2/9*j**4 = 0.
-8, -2, 1
Let s(x) be the first derivative of x**4/8 + 25*x**3/6 + 42*x**2 + 72*x - 85. Factor s(t).
(t + 1)*(t + 12)**2/2
Let h(u) be the third derivative of -7*u**6/30 - 8*u**5/3 + 62*u**4/3 - 64*u**3/3 - 21*u**2 - 9. Find f, given that h(f) = 0.
-8, 2/7, 2
Suppose -9*r + 10*r = 1. Let u = 4 - r. Factor -18*l - u*l**5 + 18*l + 3*l**4.
-3*l**4*(l - 1)
Factor 8112/7*f + 1/7*f**3 - 156/7*f**2 - 140608/7.
(f - 52)**3/7
Factor -46/7*a**2 + 4*a + 8/7*a**3 + 10/7.
2*(a - 5)*(a - 1)*(4*a + 1)/7
Let p(m) be the first derivative of 6*m**2 + 8*m + 4/3*m**3 + 12. Suppose p(y) = 0. What is y?
-2, -1
Let x be 21/(-30)*(104/(-154) - 92/506). Factor 0*o + x*o**3 + 3/5*o**2 + 0.
3*o**2*(o + 1)/5
Suppose -6*c + c = -t - 24, 3*c + 4 = -4*t. Let v(u) be the first derivative of 9/2*u + c + 1/6*u**3 + 3/2*u**2. Solve v(f) = 0 for f.
-3
Suppose 3*w - 18 = -2*w + 2*f, -w - 3*f + 7 = 0. Factor 3 - 2*u**2 - 8*u - u**w + 6*u**3 - u**5 + 0*u**3 + 0*u**3 + 3*u.
-(u - 1)**3*(u + 1)*(u + 3)
Let j be (754/8)/((120/(-32))/(-15)). Factor -9*g - j*g**4 - 4*g**3 + 378*g**4 + 15*g**2 - 3*g**3.
g*(g - 3)**2*(g - 1)
Let w(n) be the third derivative of 0*n - 1/240*n**6 + 0 + 0*n**4 + 1/840*n**7 + 1/240*n**5 - 15*n**2 + 0*n**3. Factor w(o).
o**2*(o - 1)**2/4
Factor -6*z**2 - 2*z**2 + 4*z**5 + 1805*z**3 - 1817*z**3.
4*z**2*(z - 2)*(z + 1)**2
Let v(t) be the second derivative of t**7/42 - 2*t**5/5 - t**4/2 + 7*t**3/6 + 3*t**2 - 191*t - 2. Find r, given that v(r) = 0.
-2, -1, 1, 3
Let j = 3/1151 + -285457/3453. Let p = j + 83. Factor 1/3*k - p*k**2 + 2/3.
-(k - 2)*(k + 1)/3
Let y(z) be the third derivative of -z**5/100 + 11*z**4/20 - 17*z**3/2 + 110*z**2. Determine j so that y(j) = 0.
5, 17
Let f(q) = 32*q**2 - 75*q - 79. Let w(p) = -9*p**2 + 25*p + 26. Let n(d) = -2*f(d) - 7*w(d). Find t such that n(t) = 0.
-24, -1
Let t be 7 - ((-309)/(-54) - 2/9). Let p(r) = -r**3 - 6*r**2 - 2*r + 6. Let a be p(-6). Determine c so that t*c**3 - 12 - 9*c**2 + a*c = 0.
2
Let l(v) be the first derivative of -v**2/2 - 3*v + 5. Let w be l(-5). Suppose 6*j - 9*j**w + 3*j**2 - 2*j = 0. What is j?
0, 2/3
Let q(c) be the third derivative of c**7/1050 - c**6/150 + c**5/60 - c**4/60 + c**2 - 2. Suppose q(f) = 0. What is f?
0, 1, 2
Let d(a) = 8*a**4 - 11*a**3 - 111*a**2 - 53*a - 13. Let s(y) = 4*y**4 - 6*y**3 - 54*y**2 - 26*y - 6. Let q(p) = -6*d(p) + 13*s(p). Factor q(f).
4*f*(f - 5)*(f + 1)**2
Suppose -3*p = 5*o + 1, o + 3 = p - 2. Factor -6*a**2 - 2*a**4 - 2 + 4*a**4 - 2*a + 6 + 2*a**p.
2*(a - 1)**2*(a + 1)*(a + 2)
Let l(z) = -155*z**2 + 505*z - 1055. Let j(t) = 17*t**2 - 56*t + 117. Let m(r) = -55*j(r) - 6*l(r). What is d in m(d) = 0?
3, 7
Let u(g) = -2*g**3 - 59*g**2 + 31*g + 33. Let y be u(-30). Let w(o) be the second derivative of 2/3*o**y + o**2 + o + 1/6*o**4 + 0. Let w(z) = 0. What is z?
-1
Let v = 335 + -332. Let j(l) be the first derivative of -4