**2. Let c(r) = -5*r**4 + 6*r**3 + 5*r**2 + 6*r. Let l(u) = -c(u) - 6*v(u). Let l(p) = 0. What is p?
-3, 0, 1, 2
Suppose -10*u = -12*u - 146. Let o = 367/5 + u. Factor o*k**4 + 216/5*k + 162/5 + 108/5*k**2 + 24/5*k**3.
2*(k + 3)**4/5
Let l = 289 + -286. Let f(s) = s + 8. Let w be f(-6). Let j(h) = h**4 - 4*h**3 + h**2. Let q(p) = 4*p**3. Let c(o) = l*q(o) + w*j(o). What is t in c(t) = 0?
-1, 0
Let 18/13 - 172/13*j**2 + 102/13*j + 58/13*j**4 - 20/13*j**3 + 14/13*j**5 = 0. Calculate j.
-3, -1/7, 1
Let g(u) = 9*u**2 - 17*u - 26. Let r(t) = -25*t**2 + 52*t + 77. Let d(a) = 11*g(a) + 4*r(a). Factor d(p).
-(p - 22)*(p + 1)
Suppose 4*p - 25 = p - 5*l, -2*p + l = -34. Suppose h - 6*h = -p. Let 3/4*c + 0*c**2 - 3/4*c**h + 0 = 0. Calculate c.
-1, 0, 1
Determine h, given that -72/5 - 19/5*h**3 + 1/5*h**5 - 1/5*h**4 + 5*h**2 + 66/5*h = 0.
-4, -2, 1, 3
Let r = 1883/1419 + 3/473. Solve 1/3*v**4 + 1 - r*v**2 - 2/3*v + 2/3*v**3 = 0.
-3, -1, 1
Suppose 88 + 5 = 31*i. Let n(h) be the third derivative of -7/480*h**5 - 1/24*h**i + 0*h + 3/64*h**4 + 0 + 11*h**2. Let n(b) = 0. Calculate b.
2/7, 1
Let z = -8 + -8. Let s be (-3)/((-2)/(z/(-12))). Factor -2*g**5 - 20*g**2 + s*g - 7*g**3 - 10*g**4 + 0*g**3 - 12*g - 2 - 13*g**3.
-2*(g + 1)**5
Let c(a) be the first derivative of 3*a**4/4 + 23*a**3 + 180*a**2 - 432*a - 74. Find j, given that c(j) = 0.
-12, 1
Let x(c) be the first derivative of c**5 + 155*c**4/4 + 565*c**3/3 + 685*c**2/2 + 270*c - 581. Factor x(j).
5*(j + 1)**2*(j + 2)*(j + 27)
Factor 4*h**2 - 44*h - 279 - 97 - 11*h + 427*h.
4*(h - 1)*(h + 94)
Let h(y) be the first derivative of 5*y**3/2 - 39*y**2 + 30*y - 29. Determine s so that h(s) = 0.
2/5, 10
Let q(y) be the third derivative of -y**5/80 - 17*y**4/32 + 9*y**3/4 + 6*y**2 + 27*y. Factor q(p).
-3*(p - 1)*(p + 18)/4
Let n = 2973/14815 - 2/2963. Factor -4/5*y + 0 - 1/5*y**2 + n*y**4 + 4/5*y**3.
y*(y - 1)*(y + 1)*(y + 4)/5
Find s, given that 21/5*s**2 + 99/5*s + 1/5*s**3 + 27 = 0.
-15, -3
Let s = 19/54 + 41/54. Factor 14/9*j + s*j**2 + 2/3 + 2/9*j**3.
2*(j + 1)**2*(j + 3)/9
Let d(b) = -b + 5. Let m be d(-5). Suppose 0 = 3*z - 3*l + 3, -2*z + 2*l - 8 = -2*l. Let -2*y**2 + m*y - 4*y - y**z - 3*y = 0. What is y?
0, 1
Factor -16*b**2 - 266 + 146 + 104 + 136 + 148*b.
-4*(b - 10)*(4*b + 3)
Let g(x) be the second derivative of 3*x**5/40 - 81*x**4/8 - x**3/4 + 243*x**2/4 + 125*x - 1. Factor g(l).
3*(l - 81)*(l - 1)*(l + 1)/2
Factor 19*j + 2*j**2 - 4*j**2 + 1797*j**4 - 4*j - 15*j**3 - 3*j**2 - 1792*j**4.
5*j*(j - 3)*(j - 1)*(j + 1)
Let m(h) be the first derivative of -2/33*h**3 + 35 + 18/11*h**2 - 162/11*h. Find w such that m(w) = 0.
9
Let h(y) be the second derivative of -1/4*y**5 + 0*y**2 + 0*y**6 + 0*y**3 + 0 + 5/42*y**7 + 2*y + 0*y**4. Factor h(r).
5*r**3*(r - 1)*(r + 1)
Let c be ((-24)/20)/((-15)/25). Find x, given that -1/4*x**c + 1/8*x**4 - 1/8*x**5 - 1/8*x + 1/4*x**3 + 1/8 = 0.
-1, 1
Let p(g) be the second derivative of -g**4 + 0*g**2 + 0 - 2*g**3 + g - 3/20*g**5. Factor p(b).
-3*b*(b + 2)**2
Let l(f) be the second derivative of -2*f**6/45 + 26*f**5/15 - 24*f**4 + 108*f**3 + 486*f**2 + 36*f. Suppose l(w) = 0. Calculate w.
-1, 9
Let a(k) = -k**2 - 2*k - 3. Let z = -2 + 6. Let r(h) = -3 + 11 + 2 + z*h**2 + 7*h. Let d(p) = 7*a(p) + 2*r(p). Find x such that d(x) = 0.
-1, 1
Factor 0*a**2 - 96/5*a + 18/5*a**3 + 0 - 3/5*a**4.
-3*a*(a - 4)**2*(a + 2)/5
Let j(t) be the first derivative of 5*t**6/7 + 14*t**5/5 + 45*t**4/14 + 2*t**3/7 - 8*t**2/7 + 443. Determine a so that j(a) = 0.
-8/5, -1, 0, 1/3
Let z(j) be the first derivative of -1/9*j**6 + 0*j**3 - 1/3*j**2 + 0*j + 8 + 1/3*j**4 + 0*j**5. Factor z(c).
-2*c*(c - 1)**2*(c + 1)**2/3
Let l(v) be the third derivative of -v**5/150 - 13*v**4/30 + 9*v**3/5 + 42*v**2 - 2*v. Let l(i) = 0. What is i?
-27, 1
Let b = 74 + -62. Let c be 4 + 35/(-110)*b. Factor 0*g + 0 + 0*g**2 + 2/11*g**4 - c*g**3.
2*g**3*(g - 1)/11
Let a = 2151 - 2151. Determine g so that 1/3*g**4 + 0*g + a + 1/3*g**2 + 2/3*g**3 = 0.
-1, 0
Let c be (-2)/(-35) - 8192/(-13440). Suppose -4/3*u + 0 + c*u**3 - 2/3*u**2 = 0. What is u?
-1, 0, 2
Let y(c) = -1. Let w(r) = r**2 + 5*r - 2. Let p(h) = w(h) - 6*y(h). Let v be p(-1). Suppose 1/3*s**2 + 1/3*s + v = 0. Calculate s.
-1, 0
Let p = -17 - -19. Suppose 2*u + p*u - 12 = 0. Factor n**2 + n - 8*n**u - n - 4*n**4 - 5*n**2.
-4*n**2*(n + 1)**2
Let t be (-3304)/708 - (21/(-4) + (-3)/(-12)). Suppose 1/6*b**2 - t*b**3 + 0 - 1/6*b**4 + 1/3*b = 0. What is b?
-2, -1, 0, 1
Let q(j) be the first derivative of -j**4/6 + 4*j**3 - 36*j**2 - 9*j - 16. Let w(s) be the first derivative of q(s). Factor w(b).
-2*(b - 6)**2
Suppose 2*k + 6 = -5*m, 4*m + 5 - 3 = -3*k. Suppose 16*q**k - 21*q**2 + 5 + 0 = 0. Calculate q.
-1, 1
Let v(g) be the second derivative of 0 + 3/70*g**7 + 1/20*g**5 + 0*g**2 + 0*g**3 - 8/75*g**6 - 18*g + 1/30*g**4. Factor v(r).
r**2*(r - 1)**2*(9*r + 2)/5
Factor 285/2*y**2 + 857375/2 + 27075/2*y + 1/2*y**3.
(y + 95)**3/2
Let g = -80 + 145. Let s be (-5)/g + 1/13. What is j in 2/13*j + s - 4/13*j**2 + 2/13*j**3 = 0?
0, 1
Suppose 0*r = 2*r - 8. Suppose -2*i + 0 = -r. Factor -6*x**2 - 2*x**3 - x**3 - 3*x - 2 + i.
-3*x*(x + 1)**2
Suppose -46 - 20 = -6*j. Suppose 7*n + 8 = j*n. What is f in 1/3 - 1/3*f**3 + f**n - f = 0?
1
Let u(p) = 3*p**4 - 48*p**3 - 120*p**2 - 105*p. Let s(d) = d**4 - 24*d**3 - 60*d**2 - 52*d. Let q(w) = 9*s(w) - 4*u(w). Factor q(z).
-3*z*(z + 2)**2*(z + 4)
Let j be (5 - 19/(-3))/(4/54). Let b = j + -150. Determine p, given that 4/5*p**2 - 2*p**b + 0*p + 0 = 0.
0, 2/5
Let m(z) be the third derivative of 1/50*z**5 + 0*z + 10*z**2 + 1/10*z**4 + 0 + 0*z**3. Find i, given that m(i) = 0.
-2, 0
Factor -40/7*n - 2/7*n**2 - 200/7.
-2*(n + 10)**2/7
Let z(k) be the third derivative of k**7/1785 + k**6/255 - k**5/170 - 7*k**4/102 - 8*k**3/51 + 158*k**2. Solve z(u) = 0 for u.
-4, -1, 2
Let o(k) be the third derivative of k**7/1260 + k**6/360 + k**4/4 - 2*k**2. Let u(i) be the second derivative of o(i). Determine l, given that u(l) = 0.
-1, 0
Let q be (-1)/(-6) - 3/(-36)*7. Let a(f) be the first derivative of 0*f - 6 - 27/2*f**2 - 6*f**3 - q*f**4. Factor a(j).
-3*j*(j + 3)**2
Suppose 37 = f - 35. Let n be 3*4/f*2. What is i in 0 + 3*i**3 + 9*i - n*i**4 - 9*i**2 = 0?
0, 3
Let m be -1 + -4 + -1 + 0. Let j be (2/m)/((-2)/12). Factor -7 - 2*i**j - 4*i + 7.
-2*i*(i + 2)
Let b(i) be the second derivative of -8*i**7/21 + 2*i**6/5 + i**5 - i**4 - 2*i**3/3 + 43*i. Solve b(g) = 0 for g.
-1, -1/4, 0, 1
Let g be 60/54 - 3245/(-450) - (-2)/(-9). Factor g - 9/5*s + 1/10*s**2.
(s - 9)**2/10
Let w(g) = 4*g + 1. Let x(k) = -k**2 + 26*k - 4. Let v(o) = -15*w(o) + 3*x(o). Suppose v(f) = 0. What is f?
3
Let n be (-2)/18*4860/(-360). Suppose 0*c - 5*c = -r + 25, 3*r + 5*c = -5. Determine k, given that 1/2*k**r + n*k**4 + 0*k + 1/2*k**2 + 3/2*k**3 + 0 = 0.
-1, 0
Let z(h) be the third derivative of -h**5/75 - 13*h**4/30 - 22*h**2 + h. Suppose z(v) = 0. Calculate v.
-13, 0
Let r(d) = -d**3 - 11*d**2 + 5*d + 3. Let x(g) = -3*g**2. Let f(i) = -r(i) + 4*x(i). What is c in f(c) = 0?
-1, 3
Let r(f) be the third derivative of -1/80*f**5 + 0*f - f**2 + 0 + 1/4*f**3 - 1/32*f**4. Suppose r(i) = 0. What is i?
-2, 1
Let n(a) = -2*a**2 - 6*a - 4. Let u(j) = 2*j**2 + 5*j + 3. Suppose -3*h = -0 + 12. Let x(g) = h*u(g) - 3*n(g). Find m such that x(m) = 0.
-1, 0
Let l(t) be the first derivative of -56*t**5/45 - 85*t**4/18 + 74*t**3/9 + 10*t**2/9 - 16*t/9 - 110. Solve l(x) = 0 for x.
-4, -2/7, 1/4, 1
Let t(r) be the second derivative of r**4/8 - 37*r**3 + 4107*r**2 - 12*r. Factor t(d).
3*(d - 74)**2/2
Let y(b) be the first derivative of -b**6/48 + 7*b**5/120 + b**4/6 - b**3/3 - 4*b**2 - 5. Let l(s) be the second derivative of y(s). Factor l(z).
-(z - 2)*(z + 1)*(5*z - 2)/2
Suppose -c - 14 = -4*k - 9, c + 2*k - 7 = 0. Let z(w) be the third derivative of 1/120*w**5 + 1/24*w**4 + c*w**2 + 0 + 0*w + 1/12*w**3. Factor z(n).
(n + 1)**2/2
Let y(w) be the first derivative of w**4/8 + 25*w**3/6 - 53*w**2/4 + 27*w/2 + 139. Factor y(v).
(v - 1)**2*(v + 27)/2
Let t be (-2)/13 + -6*(-5)/195. Let j(s) be the third derivative of t - 2/27*s**3 + 1/270*s**5 + 3*s**2 + 1/108*s**4 + 0*s. Solve j(n) = 0.
-2, 1
Let n(r) = -r**2 - 2*r + 15. Let w be n(-11). Let c = w - -86. Factor 12/7*b + 24/7*b**c + 20/7*b**3 + 2/7 + 6/7