)/(1/((-24)/r)). Determine d, given that 2/5*d**2 + 2/5*d**4 + t*d**3 + 0 + 0*d = 0.
-1, 0
Let y be (0 + (-6)/(-8))*784/14. Factor 5*o**2 + 84 - 20*o - 27 - y.
5*(o - 3)*(o - 1)
Let s be 108/(-8) - (-462)/33. Factor 1/4 + s*k**2 - 5/8*k**3 + 11/8*k.
-(k - 2)*(k + 1)*(5*k + 1)/8
Let j(h) = -7*h**4 + 2*h**3 + 24*h**2 - 6*h - 12. Let x(i) = -i**4 + i**3 + 2*i**2 - i - 2. Let s(o) = j(o) - 6*x(o). Factor s(u).
-u**2*(u - 2)*(u + 6)
Find t such that 3 + 2*t**2 - 1 - 4*t - 2 - 6 = 0.
-1, 3
Let l(p) be the second derivative of p**5/5 + 5*p**4/3 + 4*p**3 + 3*p. Factor l(s).
4*s*(s + 2)*(s + 3)
Let u(r) be the third derivative of 25*r**5/33 + 11*r**4/12 - 2*r**3/33 + 162*r**2. Factor u(q).
2*(2*q + 1)*(125*q - 2)/11
Suppose 0 = -i + 2*b + 8 - 11, 2*i + 6 = -b. Let f be (1/i)/(77/(-66)). Factor -f*g**5 + 0*g - 6/7*g**4 + 0 - 4/7*g**3 + 0*g**2.
-2*g**3*(g + 1)*(g + 2)/7
Factor -5/2 - 4/3*b - 1/6*b**2.
-(b + 3)*(b + 5)/6
Let x(s) be the third derivative of 27*s**8/112 - 48*s**7/35 + 59*s**6/40 + 77*s**5/30 - s**4/6 - 4*s**3/3 + 13*s**2 + 2*s. Suppose x(y) = 0. What is y?
-1/3, 2/9, 2
Let y be 56/(-490) - 8/(-20). Factor 0 + 2/7*f - 2/7*f**2 - y*f**3 + 2/7*f**4.
2*f*(f - 1)**2*(f + 1)/7
Solve -193*l + 69*l**2 + 40 - 45*l - 3*l**4 + 38 - 69*l**3 + 7*l + 156*l**2 = 0.
-26, 1
Let c(o) be the second derivative of -2*o**4/3 + 13*o**3 + 10*o**2 + 130*o. Suppose c(h) = 0. What is h?
-1/4, 10
Factor 1/2*x**4 + 5/6*x**3 + 0*x - 1/3*x**2 + 0.
x**2*(x + 2)*(3*x - 1)/6
Let x = -208 + 208. Suppose x = -3*f, -2*j + 7 - 3 = -3*f. Factor 0*k + 1 - 1/4*k**j.
-(k - 2)*(k + 2)/4
Let q(p) be the first derivative of -p**5/5 + p**4 + 10*p**3/3 - 14*p**2 + 15*p + 128. What is f in q(f) = 0?
-3, 1, 5
Let i = 15/98 - 293/1960. Let t(c) be the third derivative of 0*c**3 + 0*c**4 + 1/70*c**5 + c**2 + 0 - i*c**6 + 0*c. Factor t(g).
-3*g**2*(g - 2)/7
Let h(o) be the first derivative of 2*o**3/3 - 16*o**2 - 20. What is t in h(t) = 0?
0, 16
Let c(g) be the third derivative of -g**6/40 + 3*g**5/2 - 63*g**4/2 + 196*g**3 + 6*g**2 + 13. Suppose c(s) = 0. Calculate s.
2, 14
Let d = 90625/4 + -22656. Solve -d*i**2 + 1/4*i + 0 = 0.
0, 1
Find f, given that 21/5*f**2 - 2/5*f**3 - 18/5*f - 1/5*f**4 + 0 = 0.
-6, 0, 1, 3
Let j = 768 + -1535/2. Solve -j*f**2 - 2*f + 0 = 0.
-4, 0
Let z(m) be the first derivative of 6*m**5/5 + 9*m**4/8 - 5*m**3/2 - 9*m**2/4 + 3*m/2 - 89. Find u such that z(u) = 0.
-1, 1/4, 1
Let t(m) be the second derivative of m**4/6 - 58*m**3/3 + 841*m**2 - m - 9. Suppose t(l) = 0. What is l?
29
Let y(f) be the first derivative of -4*f**3/27 - 20*f**2 - 356*f/9 - 246. What is i in y(i) = 0?
-89, -1
Let i(w) = -15*w**2 + 120*w + 84. Let b(l) = -45*l**2 + 362*l + 251. Let t(q) = -3*b(q) + 8*i(q). Find z, given that t(z) = 0.
-3/5, 9
Let o(f) be the first derivative of f**5 + 5*f**4/2 - 40*f**3/3 - 47. Solve o(j) = 0 for j.
-4, 0, 2
Let n = 251/42 - 17/6. Let k = 39/10 - 233/70. Solve k - n*z - 2*z**3 + 32/7*z**2 = 0.
2/7, 1
Let d = -2 - -14. Suppose -7*o = -d*o + 15. Solve 0*h**2 + 0*h + 1/4*h**4 + 0 + 1/4*h**o = 0 for h.
-1, 0
Factor 6*o**2 - 10*o - 12*o**5 - 3 + 9*o**5 + 7*o + 6*o**3 - 3*o**4.
-3*(o - 1)**2*(o + 1)**3
Let y(u) = -3*u**3 + 5*u**2 - u - 1. Let h(a) = 1 + 5*a**3 - 8*a**2 + 2*a - a + 0*a + 1. Let z(m) = -5*h(m) - 8*y(m). Solve z(n) = 0.
-2, 1
Let u be 9/2 - (-4)/8. Let q(n) be the third derivative of 0*n**3 + 1/40*n**6 + 0*n + 1/20*n**u + 0*n**4 - 1/70*n**7 + 0 - 1/112*n**8 - 4*n**2. Factor q(s).
-3*s**2*(s - 1)*(s + 1)**2
Let m(h) = -9*h**2 - 11. Let j(a) = 2*a**2 + 5*a - 3. Let c(i) = i - 1. Let w(r) = -5*c(r) + j(r). Let l(g) = -2*m(g) - 11*w(g). Factor l(b).
-4*b**2
Let h(c) be the third derivative of 15/8*c**4 + 0*c - 7/20*c**5 - 9/2*c**3 + 7*c**2 + 0 + 1/40*c**6. Let h(k) = 0. Calculate k.
1, 3
Suppose 3 - 18 = -5*n. Solve 56*c**2 - 56*c**2 - 5*c**n + 5*c = 0.
-1, 0, 1
Let p be (-220)/(-18) + 2/(-9). Suppose -3*r - p = 4*l, -2*l - 3*l - 15 = 0. Factor 0*w**3 + 0 + 0*w**2 + r*w + 7/3*w**5 + 2/3*w**4.
w**4*(7*w + 2)/3
Let u = 2/85 + -686/255. Let p = -23/12 - u. Factor -1/2 - p*b - 1/4*b**2.
-(b + 1)*(b + 2)/4
Factor 13/5*v**3 - 3/5*v**4 + 59/5*v**2 + 0 - 21/5*v.
-v*(v - 7)*(v + 3)*(3*v - 1)/5
Let v(y) be the first derivative of -2 - 1/130*y**5 + 0*y**4 + 0*y**3 + 0*y**2 - 2*y. Let u(k) be the first derivative of v(k). Suppose u(d) = 0. What is d?
0
Let y = 15/76 + 23/76. Let n(w) be the second derivative of -w**2 - y*w**4 + w**3 + 1/10*w**5 + 0 + 8*w. Factor n(k).
2*(k - 1)**3
Let p(r) be the third derivative of -r**6/24 - r**5/2 - 5*r**4/3 - 21*r**2 - 2*r. Factor p(c).
-5*c*(c + 2)*(c + 4)
Let o(h) = 3*h - 11. Let l be o(5). Let z(w) be the first derivative of -1/9*w**6 + 8/15*w**5 - 1/3*w**2 - w**4 + 8/9*w**3 + l + 0*w. Factor z(y).
-2*y*(y - 1)**4/3
Find i such that 4/5*i**4 + 28/5*i**3 + 0*i + 0 + 0*i**2 = 0.
-7, 0
Suppose 0 = 4*k - 8, -5*k - 23 = 5*p - 58. Suppose 10*b - 9*b = p. Determine g so that -1/2*g**4 + 0 + 1/4*g**3 + 0*g**2 + 0*g + 1/4*g**b = 0.
0, 1
Let r = 823 + -193. Determine n, given that -r - n + 4*n**2 + 0*n + 624 - n**3 = 0.
-1, 2, 3
Factor -2*z**2 + 6 - 12 - 48*z + 5*z**2 + 51.
3*(z - 15)*(z - 1)
Let j(r) be the first derivative of -r**3/2 + 39*r**2/4 - 60*r + 524. Let j(t) = 0. What is t?
5, 8
Suppose -9*d + 659 = 38*d + 424. What is m in -1/4*m**d + 1/6*m + 1/12*m**3 - 7/12*m**2 + 7/12*m**4 + 0 = 0?
-1, 0, 1/3, 1, 2
Let x be 9/12 + (-670)/8 + -1. Let k be 12/(-8)*(-7)/(x/(-16)). Factor -8/7 + 2/7*h**k - 6/7*h.
2*(h - 4)*(h + 1)/7
Let s be (18/(-10))/((-4)/20). Factor 0*a**3 + 2*a**3 + s*a**5 + 39*a**4 - 28*a**4.
a**3*(a + 1)*(9*a + 2)
Let t(i) be the third derivative of 0 - 1/2*i**5 - 10*i**2 - 5/6*i**3 + 1/6*i**6 + 0*i + 5/6*i**4 - 1/42*i**7. Solve t(c) = 0.
1
Let w(t) be the first derivative of -t**6/6 + 3*t**5/5 - 3*t**4/4 + t**3/3 + 332. Factor w(q).
-q**2*(q - 1)**3
Suppose 0*c + 11*c - 121 = 0. Factor -c*i**4 - 8*i**2 + i + 2*i**5 - 3*i + 3*i**4 + 12*i**3 + 4*i.
2*i*(i - 1)**4
Let t(k) be the second derivative of -1/50*k**5 + 0*k**3 + 0*k**2 + 2/15*k**4 + 22*k + 0. Factor t(v).
-2*v**2*(v - 4)/5
Let u be (-2)/5*1*(-375)/450. Let g(p) be the first derivative of 0*p - 1/9*p**3 + u*p**2 - 4. Factor g(z).
-z*(z - 2)/3
Let x(w) be the second derivative of -1/12*w**4 - 1/30*w**5 + 1/90*w**6 + 0 - 21*w + 4/9*w**3 - 2/3*w**2. Factor x(d).
(d - 2)*(d - 1)**2*(d + 2)/3
Let p = -2311 - -2311. Find y, given that -250/3*y**2 + 2/3*y**5 + 50*y**3 + 0*y - 10*y**4 + p = 0.
0, 5
Let u(v) = 44*v**2. Let j be u(1). Determine p, given that -139*p - 5*p**2 + 65*p - 45 + j*p = 0.
-3
Let q(x) be the third derivative of x**6/300 + 2*x**5/75 - 4*x**4/15 - 64*x**3/15 + 121*x**2. Determine a so that q(a) = 0.
-4, 4
Let d(f) be the first derivative of 0*f + 2/5*f**5 + 0*f**2 + 26 - 4*f**3 - 5/2*f**4. Solve d(o) = 0 for o.
-1, 0, 6
Let u be (-1)/7*(-17)/17 + 8/140. Find m such that 2/5 - u*m**2 + 1/5*m = 0.
-1, 2
Factor -65*m - 126*m + 2000 - 9*m + 5*m**2.
5*(m - 20)**2
Let u = 14047 - 70166/5. Find n such that -20 - 14/5*n**3 - 1/5*n**4 - 28*n - u*n**2 = 0.
-5, -2
Let j(t) = 2*t**2 - 32*t + 24. Let h be j(15). Let f(r) = r**2 + 10*r + 24. Let a be f(h). Factor a + 3/4*g + 3/2*g**2 + 3/4*g**3.
3*g*(g + 1)**2/4
Let s(l) be the first derivative of 3*l**5/20 + 9*l**4/16 - 15*l**3/4 + 51*l**2/8 - 9*l/2 + 3. Factor s(p).
3*(p - 1)**3*(p + 6)/4
Suppose -3*k - 2 = 7. Let w(j) = 9*j**2 - 6*j - 3. Let t(p) = 9*p**2 - 7*p - 4. Let y(h) = k*t(h) + 4*w(h). Determine f so that y(f) = 0.
0, 1/3
Let k = 98 - 94. Let w(y) be the first derivative of -1 - 3*y - 3/4*y**k + 3/2*y**2 + y**3. Factor w(l).
-3*(l - 1)**2*(l + 1)
Solve -l**5 + 2 + 5*l**4 - 6*l - 2 + 31*l**2 + 7*l**3 - 54*l**2 + 18*l**2 = 0.
-1, 0, 1, 6
Let l = -23 + 25. Let y - 2*y**3 + 9*y + 8*y**2 + l + 4*y**3 + 2 = 0. What is y?
-2, -1
Let v be 3578/(-2268) + 6/(-24)*-4. Let c = -1/162 - v. What is t in -c*t - 8/7*t**3 + 18/7*t**2 + 0 = 0?
0, 1/4, 2
Let j(m) = -m**4 + m**3 + m**2 - 2*m + 1. Let u(h) = -9*h**4 - 24*h**3 - 102*h**2 - 180*h - 90. Let c(s) = 6*j(s) - u(s). Factor c(x).
3*(x + 2)**3*(x + 4)
Let z(u) be the third derivative of 0*u + 1/12*u**4 - 1/2*u**3 + 4*u**2 + 0 - 1/180*u**5. Let z(m) = 0. What is m?
3
Factor -j**2 + 121*j - 102*j + 0*j**2.
-j*(j - 19)
Let b be (-15)/(1950/440) + 4. Factor 8/13 + b