)/3
Let a be ((-6)/(-126) - 574/3822)/(2/(-36)). Find q such that 0 - 6/13*q - 2/13*q**5 - a*q**3 + 12/13*q**4 + 20/13*q**2 = 0.
0, 1, 3
Let k(y) be the first derivative of -y**5/120 - y**4/24 + y**2/3 + 2*y + 5. Let s(m) be the first derivative of k(m). Factor s(r).
-(r - 1)*(r + 2)**2/6
Let g(n) be the second derivative of -3*n**5/100 + 9*n**4/20 + 11*n**3/5 + 6*n - 59. Factor g(j).
-3*j*(j - 11)*(j + 2)/5
Let c(a) = 46*a**2 - 121*a - 5. Let n(o) = 46*o**2 - 117*o - 4. Let i(v) = -6*c(v) + 7*n(v). Factor i(d).
(d - 2)*(46*d - 1)
Let x = 42/13 + -430/117. Let i = -2/45 - x. Suppose -2/5*k**5 + 4/5*k**4 + 0*k**2 + 0*k + 0 - i*k**3 = 0. What is k?
0, 1
Find s, given that -27/4*s**2 + 6 - 3/2*s**3 + 3/2*s + 3/4*s**4 = 0.
-2, -1, 1, 4
Let m(f) be the second derivative of 0*f**2 + 1/3*f**4 + 2/21*f**7 + 2*f + 4/3*f**3 + 0 - 3/5*f**5 - 2/15*f**6. Let m(b) = 0. What is b?
-1, 0, 1, 2
Let w be (-72)/(-70) + (35 - 4272/120). Factor -w*y**4 + 18/7*y**3 - 39/7*y**2 - 12/7 + 36/7*y.
-3*(y - 2)**2*(y - 1)**2/7
Let p(l) = 69*l - 2550. Let n be p(37). Factor 0*s - s**2 - 1/5*s**n + 0.
-s**2*(s + 5)/5
Factor 58/5*t + 32/5*t**2 + 28/5 + 2/5*t**3.
2*(t + 1)**2*(t + 14)/5
Factor -1/4*b**5 + 1/4*b**4 + 0*b**2 + 0 + 0*b + 1/2*b**3.
-b**3*(b - 2)*(b + 1)/4
Let a(p) be the second derivative of -12/11*p**2 - 3/11*p**4 + 3/110*p**5 + 0 + 9/11*p**3 - 6*p. Factor a(i).
6*(i - 4)*(i - 1)**2/11
Let q = 5609 + -28039/5. Factor -3/5*f + 3/5*f**2 - q.
3*(f - 2)*(f + 1)/5
Solve 1/3*o**4 - 79/3*o**2 - 14 - 103/3*o - 17/3*o**3 = 0.
-2, -1, 21
Let z(m) be the second derivative of -m**7/420 + m**6/120 + m**5/120 - m**4/24 + m**2/2 + 8*m. Let l(s) be the first derivative of z(s). What is k in l(k) = 0?
-1, 0, 1, 2
Let q(v) be the first derivative of 11*v**2/2 + 2*v - 3. Let k be q(1). Solve -13*f**4 + f**5 + k*f**4 - f**3 = 0 for f.
-1, 0, 1
Let w(z) be the first derivative of 2/15*z**3 - 5 - 4/5*z - 1/5*z**2. Factor w(u).
2*(u - 2)*(u + 1)/5
Let x be -3*(-2)/(-15) + (-2000)/(-1875). Let -2/3*h**2 + x*h**3 + 0 - 4/3*h = 0. Calculate h.
-1, 0, 2
Factor 3*g**3 - 4*g**2 + 2*g**2 + 17*g**2.
3*g**2*(g + 5)
Suppose -22*d = -105 + 17. Suppose 56*u - 58*u = -d. What is t in 2/3*t**u + 0 + 1/3*t**3 + 1/3*t = 0?
-1, 0
Let k = -10 - -17. Suppose 0 = -w - 4*c + 2*c - k, 2*c + 19 = 3*w. Solve 0*y**3 - y**3 + 4*y**3 + w*y**4 = 0.
-1, 0
Let l(z) be the first derivative of 13 + 0*z + 1/21*z**3 - 1/14*z**2. Factor l(o).
o*(o - 1)/7
Let u be -5 + 67/13 - 80/(-65). Let -u*q + 14/13*q**2 + 4/13 = 0. Calculate q.
2/7, 1
Let g(v) = -v**2 - v. Let p be g(1). Let i be p*2/(-1 + -1). Factor -5*s**2 + 3*s**2 - s**2 + 8*s - s**i.
-4*s*(s - 2)
Factor 1/2*a**4 - 7*a**3 + 61/2*a**2 + 18 - 42*a.
(a - 6)**2*(a - 1)**2/2
Determine k, given that -56/5*k**3 + 19/5*k**2 + 0 + 0*k - 3/5*k**4 = 0.
-19, 0, 1/3
Suppose l - 2 = 1. Let a be (6/(-8))/((-1)/4). Suppose z**4 + z**a - 2*z**l - 4*z**3 + 4*z**3 + z - z**2 = 0. What is z?
-1, 0, 1
Let f be (-8 + 8 - 4)/(1*-1). Let y(a) be the second derivative of 3*a + 1/60*a**5 - 1/3*a**2 + 1/18*a**f + 0 - 1/18*a**3. Factor y(p).
(p - 1)*(p + 1)*(p + 2)/3
Let g(x) = -4*x + 136. Let o be g(31). Let y(z) = z**2 + 3*z - 1. Let l be y(-4). Factor -4 - 2*n + 6*n**3 + o*n + 5*n**2 - 13*n**2 - 4*n**l.
2*(n - 2)*(n - 1)**2
Let o(q) = -11*q**3 + 5*q. Suppose -2*i + 22 - 4 = 2*l, -2*l = -5*i + 3. Let p(t) = -45*t**3 + 20*t. Let y(n) = l*p(n) - 25*o(n). Solve y(b) = 0.
-1, 0, 1
Let x be 644/(-322) - (17/(-4) + 2). Suppose 0*w + x*w**5 + 1/4*w**2 - 1/4*w**3 + 0 - 1/4*w**4 = 0. Calculate w.
-1, 0, 1
Factor -150/7 + 9/7*g**3 - 438/7*g**2 - 597/7*g.
3*(g - 50)*(g + 1)*(3*g + 1)/7
Let g(r) = -r**2 + 14*r + 17. Suppose 0 = -15*j + 151 + 74. Let v be g(j). Factor 5/2*y + 1 + 1/2*y**3 + 2*y**v.
(y + 1)**2*(y + 2)/2
Let k(a) = -a**2 + 5*a + 2. Let x be k(3). Suppose -11*w = -x*w - 117. Let 5*i**3 - 16*i + 50*i**2 + 102*i + w*i = 0. What is i?
-5, 0
Find r, given that -10*r**3 + 10*r**5 + 9 + 244*r**2 - 56*r**4 - 4*r**3 + 256*r + 48 + 7 = 0.
-1, -2/5, 4
Let x(f) be the first derivative of -49/34*f**4 - 46 + 24/17*f**2 - 8/17*f - 14/17*f**3. Determine z so that x(z) = 0.
-1, 2/7
Suppose 45 = 14*u - 29*u. Let h(k) = 4*k**2 + 3*k - 16. Let i(y) = -4*y**2 - 4*y + 16. Let b(l) = u*i(l) - 4*h(l). Factor b(m).
-4*(m - 2)*(m + 2)
Let o(i) be the second derivative of -39*i + 0 - 1/120*i**6 + 0*i**4 + 0*i**2 - 3/80*i**5 + 1/6*i**3. What is s in o(s) = 0?
-2, 0, 1
Let h be ((-3)/(-6))/(6 + -5). Suppose 0*l = 2*l. Factor 0*t - h*t**2 + l.
-t**2/2
Let p(n) = n**3 + 4*n**2 + 3. Let x be p(-4). Suppose 2*t + 8*i - 4*i = -4, -x*t = 5*i + 4. Determine g so that -9*g - 8*g**t - 6 + 0*g**2 + 5*g**2 = 0.
-2, -1
Let a be 97 + (-32844)/340 + (-1)/((-5)/(-2)). Determine g, given that 0*g + a + 10/7*g**2 - 2/7*g**3 = 0.
0, 5
Let h(q) = 2*q**2 + 7*q - 6. Let i be h(-4). Let r = 14/3 + i. Determine w so that 2/3*w**2 + r*w + 8/3 = 0.
-2
Let 45*o**3 + 30*o**5 + 9*o**4 - 31*o - 57*o**2 - 33*o**5 - 59*o = 0. What is o?
-3, -1, 0, 2, 5
Let r(u) be the first derivative of -u**6/36 - 17*u**5/60 - u**4/2 - 20*u**3/3 + 2. Let t(z) be the third derivative of r(z). Suppose t(a) = 0. What is a?
-3, -2/5
Suppose -5*p = 3*t + 9, 132*t - 129*t - p - 9 = 0. Factor -1/7*l**4 - 3/7*l**3 - 3/7*l**t + 0 - 1/7*l.
-l*(l + 1)**3/7
Factor 4*u + 12*u + 3*u**2 - 8*u + 108 + 28*u.
3*(u + 6)**2
Let m(p) = 5*p - 1. Let t be m(1). Determine b, given that 27*b - 6 - 12*b**2 - t*b + 2*b + 2*b = 0.
1/4, 2
Let z be 2/36*(-9)/(-2). Let q(f) be the second derivative of f**2 + 2*f + 0 + z*f**5 + 1/12*f**4 - 5/6*f**3 - 1/10*f**6. Find j such that q(j) = 0.
-1, 2/3, 1
Let m = -5 - -22. Suppose 5*s - 13 = m. Factor n + 82*n**2 - 74*n**2 - 3*n - 2*n**3 - s*n.
-2*n*(n - 2)**2
Let u be (36/(-8) - 1)*-2. Suppose -u*n + 4 = -9*n. Factor -5*d - d**n + 9*d + 5*d**2.
4*d*(d + 1)
Let f(b) = -b**2 - 3*b + 5. Let y be f(-3). Suppose -3*g - 5*p - 16 = -g, -5*g + 3*p = -22. Factor 1 + y*t + 1 - 2*t**g - 5*t.
-2*(t - 1)*(t + 1)
Let s = -53 - -36. Let c(y) = 2*y**2 + 2*y - 10. Let g(f) = 6*f**2 + 6*f - 29. Let k(a) = s*c(a) + 6*g(a). Factor k(z).
2*(z - 1)*(z + 2)
Let v(j) be the second derivative of 0 - 16*j**2 - 1/6*j**4 + j + 8/3*j**3. Factor v(y).
-2*(y - 4)**2
Factor -9/4*i**4 - 2*i - 11/2*i**2 - 1/4 - 6*i**3.
-(i + 1)**2*(3*i + 1)**2/4
Suppose -5*o + 28 = 2*q, 2*q = -2*o - 0*q + 16. Let h = -942 + 4726/5. Suppose 2/5*y + h*y**3 + 32/5*y**o - 14/5*y**2 + 0 = 0. What is y?
-1, 0, 1/4
Let w(r) = -23*r**2 - 586*r - 7827. Let x(u) = -11*u**2 - 292*u - 3914. Let y(j) = -6*w(j) + 13*x(j). Solve y(d) = 0 for d.
-28
Let z(o) be the first derivative of o**4 + 12*o**3 + 28*o**2 - 86. Factor z(t).
4*t*(t + 2)*(t + 7)
Let l be (-9)/(-63)*-7 - -5. Let o(z) be the second derivative of -5/2*z**3 - 5*z**2 + 0 - 5/12*z**l + 10*z. Factor o(m).
-5*(m + 1)*(m + 2)
Let y(d) = d**2 - 5*d - 14. Let q(b) = -2*b. Let z(j) = -4*q(j) - y(j). Factor z(g).
-(g - 14)*(g + 1)
Let k(j) be the first derivative of 3*j**5/4 - 25*j**4/12 + 5*j**3/3 - 9*j - 11. Let l(s) be the first derivative of k(s). Factor l(z).
5*z*(z - 1)*(3*z - 2)
Suppose -26/9*v - 8/3 - 2/9*v**2 = 0. Calculate v.
-12, -1
Factor 84*x**2 - 390 - 18*x**3 + 98*x - 752 + 113 + x**4.
(x - 7)**3*(x + 3)
Let n = -2266/7 + 324. Let d(p) be the first derivative of 3/7*p**2 - n*p - 4/21*p**3 + 4 - 1/7*p**4 + 6/35*p**5 - 1/21*p**6. Factor d(t).
-2*(t - 1)**4*(t + 1)/7
Let c be (-2338)/(-501) - (-2)/(-3). Let t(g) be the first derivative of 0*g + 1/18*g**c - 2/9*g**3 - 12 + 0*g**2. Factor t(u).
2*u**2*(u - 3)/9
Let h(r) be the second derivative of 1/5*r**5 + 20*r - 4/3*r**4 + 0 + 0*r**2 + 0*r**3. Determine f, given that h(f) = 0.
0, 4
Let m be (-4 - -5)/(1/3). Let h(s) = -s**3 - 12*s**2 + 13*s + 21. Let r be h(-13). Let r*q - 1 + 1 + m + 36*q**2 = 0. Calculate q.
-1/3, -1/4
Let l = -21318517/1271855 - -21150/1151. Let j = -3/221 + l. Factor -7/5*t + 2/5 - 3/5*t**3 + j*t**2.
-(t - 1)**2*(3*t - 2)/5
Let k be (-141)/(-1260) + 10/(-105). Let s(y) be the third derivative of 0*y**3 + 0*y + k*y**4 + 0 - 1/100*y**5 - 6*y**2 + 1/1050*y**7 + 0*y**6. Solve s(u) = 0.
-2, 0, 1
Suppose -268*j**2 - 342*j**3 - 16 - 54*j**5 - 20*j - 84*j + 209*j**4 - 425*j**4 = 0. Calculate j.
-1, -2/3
Let n(s) = -s**2 + 4*s - 1. Let a be n(3). Let z be 1/a - 95/(-38). Facto