/108 - 7*b**4/24 - 13*b**3/27 - 54*b**2. Factor q(y).
(y - 13)*(5*y + 2)/9
Let c(b) be the second derivative of -2/3*b**7 + 0 + 0*b**2 + 0*b**4 + 2/5*b**5 + 0*b**3 - 4*b - 2/3*b**6. Determine i, given that c(i) = 0.
-1, 0, 2/7
Suppose 7*x + 28 = 5*v + 4*x, v = -5*x. Factor 4*d + v*d + 10*d**2 + 4*d + 2*d - 25*d**3.
-5*d*(d - 1)*(5*d + 3)
Let x(r) be the second derivative of 8/3*r**3 + 1/6*r**4 + 7/2*r**2 + 0 - r - 1/30*r**6 - 4/15*r**5. Let u(b) be the first derivative of x(b). Factor u(m).
-4*(m - 1)*(m + 1)*(m + 4)
Let w be ((-12)/(-18))/(2/75). Suppose h - 29 = -4*i, -3*i + 4*h - w = -6*i. Solve 16*p - i*p**3 + 13*p**2 + 4*p**3 + 6*p**3 + 4 = 0 for p.
-2, -1/3
Let -6*c**4 - 3*c**4 - 66*c**2 - 24*c - 24938*c**3 + 24887*c**3 = 0. What is c?
-4, -1, -2/3, 0
Let t(z) = 11*z**2 + 3*z + 3. Let p be t(-2). Let h = -24 + p. Let 20*j - 7*j**2 + 4*j**2 - 5*j**3 + 10*j**3 - h*j**2 = 0. Calculate j.
0, 2
Let i be 263 - (-1)/(-2)*6. Let d be (-24)/i - (3 + 51/(-15)). Solve 0*x + 0 + d*x**2 + 2/13*x**3 = 0 for x.
-2, 0
Let b(a) be the first derivative of 2*a**5/5 + 3*a**4 - 104*a**3/3 + 42*a**2 + 198*a - 141. Factor b(l).
2*(l - 3)**2*(l + 1)*(l + 11)
Let i(r) be the second derivative of -2*r**7/21 - 2*r**6/5 - 2*r**5/5 + 44*r. Suppose i(s) = 0. Calculate s.
-2, -1, 0
Factor 6/7 + 0*m**2 - 9/7*m + 3/7*m**3.
3*(m - 1)**2*(m + 2)/7
Let o(b) = 4*b - 9. Let y be o(3). Let g = 10/3 - y. Factor 4/3*v**3 + 2/3*v + 0 + 5/3*v**2 + g*v**4.
v*(v + 1)**2*(v + 2)/3
Let f be (-1152)/4800*-5*2. Factor i**2 - f - 17/5*i.
(i - 4)*(5*i + 3)/5
Suppose -c = 2*y - 1 - 5, 5*c - 6 = -2*y. Suppose -4*s + s = c. Suppose 8*j + j + 3*j**3 - 2 + 5 + 9*j**2 + s = 0. Calculate j.
-1
Let b(j) be the first derivative of -j**6/27 - 4*j**5/15 - 2*j**4/3 - 16*j**3/27 - 71. Factor b(q).
-2*q**2*(q + 2)**3/9
Let i(t) = t**3 + 9*t**2 + 3*t + 27. Let v be i(-8). Let o = v - 333/5. Factor -o*p**2 - 2/5*p + 4/5.
-2*(p - 1)*(p + 2)/5
Solve -24 + 80 - 119365*c**2 + 119129*c**2 - 16*c**3 - 164*c = 0 for c.
-14, -1, 1/4
Let h(v) be the first derivative of -2 - 8/7*v**3 + 7/5*v**5 - 2/7*v**2 + 0*v - 3/4*v**4. Solve h(a) = 0 for a.
-2/7, 0, 1
Let a be 9/12 + 65/20. Let h(p) be the third derivative of 0*p**5 - 1/40*p**6 + 4*p**2 + p**3 + 3/8*p**a + 0 + 0*p. Factor h(v).
-3*(v - 2)*(v + 1)**2
Let c(w) be the first derivative of 3/25*w**5 + 9/10*w**4 + 0*w + 12/5*w**2 + 12/5*w**3 + 5. Let c(a) = 0. Calculate a.
-2, 0
Factor 14/17 - 2/17*m**3 - 14/17*m**2 + 2/17*m.
-2*(m - 1)*(m + 1)*(m + 7)/17
Let i(r) be the third derivative of 0*r - 4/315*r**7 + 7/180*r**5 - 19*r**2 - 1/288*r**8 + 0 - 1/180*r**6 + 1/18*r**3 + 11/144*r**4. Find w such that i(w) = 0.
-1, -2/7, 1
Solve -j**2 + 4*j**3 - 11*j**2 + 15*j**3 + 64 - 21*j**3 = 0.
-4, 2
Let f(t) be the first derivative of -t**6/1440 + t**5/96 - t**4/16 + 3*t**3 + 1. Let q(b) be the third derivative of f(b). Factor q(l).
-(l - 3)*(l - 2)/4
Suppose -3*x**3 - 5/7*x + 26/7*x**2 + 0 = 0. What is x?
0, 5/21, 1
Let b = -1917 + 49807/26. Let v = b - -24/13. Factor -1/6*a**3 - v - 7/6*a - 5/6*a**2.
-(a + 1)**2*(a + 3)/6
Let s(a) be the first derivative of -a**4/2 + 38*a**3/3 - 35*a**2 + 34*a + 17. Factor s(z).
-2*(z - 17)*(z - 1)**2
Solve -9*m + 0 + 3/5*m**3 + 6/5*m**2 = 0 for m.
-5, 0, 3
Let j = -29 - -24. Let u(t) = 11*t**2 - 36*t + 35. Let n(r) = 39*r**2 - 126*r + 123. Let z(x) = j*n(x) + 18*u(x). Determine s, given that z(s) = 0.
1, 5
Let n(v) = -v**3 - v - 1. Let w(z) = -2*z**4 - 9*z**3 - 20*z**2 + 5*z + 5. Let s(r) = -5*n(r) - w(r). Factor s(x).
2*x**2*(x + 2)*(x + 5)
Let g = 79/255 - -2/85. Suppose -7 = 2*v - 11. Factor -2/3*h**3 - g - 1/3*h**4 + 2/3*h**v + 1/3*h + 1/3*h**5.
(h - 1)**3*(h + 1)**2/3
Solve 1/2*g**4 + 1/4*g + 1/4*g**5 - g**2 - 1/2*g**3 + 1/2 = 0.
-2, -1, 1
Let v(u) be the third derivative of -u**8/2240 - u**7/420 + u**6/48 + 3*u**5/20 - 7*u**4/8 + 21*u**2. Let j(z) be the second derivative of v(z). Factor j(h).
-3*(h - 2)*(h + 1)*(h + 3)
Factor 21*q + 2 + 15*q**3 + 4 + 48*q**2 + 3*q**4 - 21*q**2.
3*(q + 1)**3*(q + 2)
Solve -10/7*i**3 - 2/7*i**4 - 4/7*i**2 + 0*i + 0 + 4/7*i**5 = 0.
-1, -1/2, 0, 2
Let a = 13 - 13. Suppose a = 3*c - s + 2, -4*c - 18 = -5*s - 8. Factor -p - 1/2*p**2 + c.
-p*(p + 2)/2
Let l be 0/(-8) - (-4 + 75/21). Factor 0 + 3/7*g**4 + l*g**3 - 6/7*g**2 + 0*g.
3*g**2*(g - 1)*(g + 2)/7
Let o(g) be the second derivative of 2*g**7/35 + 4*g**6/15 + 2*g**5/5 - 2*g**3/3 + 2*g**2 - 3*g. Let b(i) be the first derivative of o(i). Solve b(r) = 0.
-1, 1/3
Suppose 55*s = 21*s + 170. Let v(w) be the first derivative of 1/3*w**3 - 1/2*w**2 + 0*w - s. Factor v(x).
x*(x - 1)
Let y(u) be the first derivative of -3/20*u**4 + 0*u + u**3 - 18 - 9/10*u**2 - 3/25*u**5. Solve y(f) = 0.
-3, 0, 1
Factor 3*a**2 - 21/8*a + 3/8*a**5 - 3/4*a**3 + 3/4 - 3/4*a**4.
3*(a - 1)**4*(a + 2)/8
Let q be (-5698)/(-66600) - 2/25. Let s(f) be the third derivative of 1/315*f**7 - 1/90*f**5 + q*f**6 + 0 - 10*f**2 + 0*f**3 - 1/36*f**4 + 0*f. Factor s(g).
2*g*(g - 1)*(g + 1)**2/3
Let r(d) = 9*d**2 + d**4 - 7*d**3 + 6*d - d - 5 - 6 + 3*d. Let m(a) = a**4 - a**3 + a**2 - 1. Let h(p) = 6*m(p) - 2*r(p). Factor h(c).
4*(c - 1)**2*(c + 2)**2
Let t(p) be the third derivative of -p**6/40 - 7*p**5/20 - 11*p**4/8 - 5*p**3/2 - 133*p**2. Solve t(u) = 0 for u.
-5, -1
What is f in -222/11 - 2/11*f**2 - 80/11*f = 0?
-37, -3
Find p such that -2/3*p**5 + 10/3*p**3 + 16/3 - 20/3*p**2 - 8/3*p + 4/3*p**4 = 0.
-2, -1, 1, 2
Suppose -z - 4*q = -4*z + 8, 0 = 4*z - q - 15. Let b be (-8)/(-1)*z/14. Suppose b + 8/7*x - 4/7*x**2 - 2/7*x**3 = 0. Calculate x.
-2, 2
Suppose 2*n + 12 = -2*x, -8*n + 7*n = 0. Let h be (4/(-5))/((-3)/(-5)*x). Factor -4/9*o + 4/9*o**3 - 2/9*o**4 + 0 + h*o**2.
-2*o*(o - 2)*(o - 1)*(o + 1)/9
Factor -922*k - 3*k**2 + k**2 - 4*k**2 + 1052*k + k**2.
-5*k*(k - 26)
Let y be 1969/(-187) - -17 - 1*6. Factor y*o**3 + 2/17*o**4 + 12/17*o**2 + 8/17*o + 2/17.
2*(o + 1)**4/17
Let q(a) = a**4 - a**3 + a**2 - a. Let s(y) = -4*y**4 - 2*y**2 + 6*y. Let w = -10 + 11. Let f(c) = w*s(c) + 3*q(c). Solve f(h) = 0 for h.
-3, -1, 0, 1
Suppose -6 = 2*j - 5*j. Let f be (3/2)/((-1)/(-2)). Solve 0*s**3 + s - 2 - 5*s**j - 1 + 6*s + s**f = 0 for s.
1, 3
Suppose v = -18 + 20. Suppose 3*k - 51 = 12. Find p such that 22*p**3 - k*p**3 - 2*p**v + 3*p**2 = 0.
-1, 0
Let v be (20/(-24)*3 - -1)/(-6). Let z(u) be the first derivative of -4 + 0*u + 1/3*u**3 + v*u**4 - u**2. Factor z(x).
x*(x - 1)*(x + 2)
Factor -290*a**3 - a**5 + 1000/3*a - 900*a**2 + 0 - 89/3*a**4.
-a*(a + 10)**3*(3*a - 1)/3
Let r be (57/(-11) - (-20 - -15)) + 4/22. Factor r - 5/2*p**3 + p**2 + p**4 + 0*p.
p**2*(p - 2)*(2*p - 1)/2
Let z = 175272/17 + -10310. Determine r, given that 4/17*r**2 - 10/17*r + 2/17*r**4 - z*r**5 + 12/17*r**3 - 6/17 = 0.
-1, 1, 3
Let u(i) be the second derivative of -i**4/120 + 47*i**3/10 - 19881*i**2/20 + 63*i. Let u(v) = 0. What is v?
141
Factor 270*q - 32 - 662*q + 5616*q**2 - 5516*q**2.
4*(q - 4)*(25*q + 2)
Let u(y) be the first derivative of -y**3/3 + 11*y**2/2 - 19. Factor u(j).
-j*(j - 11)
Let w(c) be the third derivative of -c**5/180 - c**4/36 + 4*c**3/9 - 371*c**2. Factor w(n).
-(n - 2)*(n + 4)/3
Factor -2/3 + 26/9*r - 20/9*r**2.
-2*(r - 1)*(10*r - 3)/9
Let -51/4 + 12*i + 3/4*i**2 = 0. Calculate i.
-17, 1
Let r = 428 + -425. Let z(v) be the second derivative of 1/42*v**4 + 0*v**2 + 2/21*v**r + 3*v + 0. Factor z(h).
2*h*(h + 2)/7
Let d(t) be the second derivative of -t**5/60 - t**4/4 - 4*t**3/9 + 10*t + 1. Factor d(b).
-b*(b + 1)*(b + 8)/3
Let 0*f + 1/5*f**4 + 0*f**3 - 1/5*f**5 + 0*f**2 + 0 = 0. What is f?
0, 1
Suppose 4*x + 22 = 2*h, -5*x - 13 = -3*h - 4*x. Suppose h*v + 14 = -3*k + 35, 3*v + 14 = 4*k. What is o in 2*o**2 - 7*o**2 + 4*o**v + 0 + 2 + o = 0?
-1, 2
Determine q so that -42/17*q + 40/17 + 2/17*q**2 = 0.
1, 20
Let g(h) be the first derivative of 3/14*h**4 - 6/7*h - h**3 - 5 + 3/2*h**2. Let g(c) = 0. What is c?
1/2, 1, 2
Suppose -8*h + 13*h**3 - 7*h**2 + 4*h**4 - 5*h**3 + 7*h**2 - 4*h**2 = 0. What is h?
-2, -1, 0, 1
Let a(i) = -i**2 + i - 1. Let v(o) = 4*o**2 + 11. Let c(l) = -5*a(l) - v(l). Factor c(j).
(j - 6)*(j + 1)
Let h(o) = 5*o**3 - 8*o**2 - 6*o. Let v(f) = -5*f**3 + 7*f**2 + 9*f. Let j(s) = -3*h(s) - 2*v(s). Factor j(u).
-5*u**2*(u - 2)
Let x(o) = 5*o - 3. Let h be x(1). Let t be (-30)/45*2/(-4). Fin