**4 - 4*t**2 + 6. Factor s(l).
-2*l*(l + 1)*(l + 3)*(l + 20)
Let l = 1939 + -1935. Let r = 326 + -2274/7. Solve 0 + 0*s - 8/7*s**3 + r*s**2 + 2/7*s**l = 0.
0, 2
Let f be (0*3/(-21))/1. Let c(w) be the second derivative of f*w**5 + 0*w**3 - 2*w + 1/126*w**7 + 0*w**4 + 0 + 1/90*w**6 + 0*w**2. Let c(g) = 0. What is g?
-1, 0
Let x = -306298/17 + 18018. Find m such that 0*m + x - 2/17*m**2 = 0.
-2, 2
Suppose 6 = -2*b + 6. Let m(r) be the third derivative of -3/80*r**6 - 6*r**2 - 1/224*r**8 - 1/40*r**5 + 0*r + 0*r**4 + b*r**3 + 0 - 3/140*r**7. Factor m(t).
-3*t**2*(t + 1)**3/2
Let r(p) be the third derivative of p**7/630 - p**6/180 - 13*p**5/180 - 5*p**4/36 + 29*p**2. Find g such that r(g) = 0.
-2, -1, 0, 5
Let u be 33*(32/(-6))/(-2). Suppose -2*p + u - 88 - 2*p**3 - 4*p**2 = 0. What is p?
-1, 0
Let v = 632 - 4454/7. Let n = -4 - v. Factor -4/7*i**3 + 0*i - 2/7*i**4 - n*i**2 + 0.
-2*i**2*(i + 1)**2/7
Let q be (-6)/2 - (104/(-24) - -1). Let s(d) be the first derivative of -3 + q*d**2 + 2/3*d - 2/9*d**3 - 1/6*d**4. Determine i so that s(i) = 0.
-1, 1
Let g(c) be the first derivative of 2*c**6/27 - 76*c**5/45 + 80*c**4/9 + 400*c**3/27 - 525. Determine p, given that g(p) = 0.
-1, 0, 10
Let s(f) be the first derivative of -f**3/4 + 33*f**2/4 - 54*f - 173. Find m such that s(m) = 0.
4, 18
Factor -11/7*q - 6/7*q**2 - 1/7*q**3 - 6/7.
-(q + 1)*(q + 2)*(q + 3)/7
Let d(y) be the second derivative of -y**5/80 - 11*y**4/48 - 7*y**3/24 + 147*y**2/8 + 87*y. Suppose d(j) = 0. Calculate j.
-7, 3
Factor 260 + 52*g - 286 + 6*g**2 + 24*g.
2*(g + 13)*(3*g - 1)
Let f(w) = -15*w**2 + 249*w + 72. Let r(g) = -g**2 + g. Let j(o) = -f(o) + r(o). Factor j(s).
2*(s - 18)*(7*s + 2)
Let b(u) be the third derivative of -u**5/20 + u**4 - 7*u**3/2 + 53*u**2. Let b(f) = 0. Calculate f.
1, 7
Let k(z) be the first derivative of -2/3*z**3 - z**2 + 4 + 4*z. Factor k(q).
-2*(q - 1)*(q + 2)
Suppose -5*i + 2*i + 6 = 0, 3*k - 166 = -2*i. Let u = k + -50. Find b, given that 0*b + 0 + b**5 + 0*b**3 + 2/3*b**u + 0*b**2 = 0.
-2/3, 0
Factor -66*w**2 - 66*w**2 - w**3 + 129*w**2 + 4*w**3 + 6*w**4.
3*w**2*(w + 1)*(2*w - 1)
Let y be 9 + 93*(-8)/88. Determine u so that 10/11*u**3 + 10/11*u**2 - 10/11*u - y*u**4 - 4/11 = 0.
-1, -1/3, 1, 2
Let u be 22680/352 + 4 + 2/(-8). Let o = -68 + u. Determine c so that -o*c**2 - 4/11*c - 2/11 = 0.
-1
Suppose 0 = 9*r - 36 - 0. Factor -16*l - 291*l**r - 4 + 284*l**4 - l**5 - 25*l**2 - 2*l**3 - 17*l**3.
-(l + 1)**3*(l + 2)**2
Let v(d) be the first derivative of 4*d**6/3 - 52*d**5/5 + 24*d**4 - 12*d**3 - 47. Solve v(u) = 0 for u.
0, 1/2, 3
Let i(d) be the third derivative of d**6/60 - 211*d**5/30 + 2756*d**4/3 + 11236*d**3/3 + d**2 + 77. What is q in i(q) = 0?
-1, 106
Let c(z) = z**2 + 1. Let m(p) = 10*p**2 - 194*p - 53. Let o(t) = 3*c(t) - m(t). Factor o(a).
-(a - 28)*(7*a + 2)
Determine p so that -2*p**2 + 1010*p - 15*p**2 - 1050*p + 2*p**3 + p**3 + 300 - 4*p**3 = 0.
-10, 3
Let x(h) be the third derivative of h**5/20 + 27*h**4/4 - 2*h**2 + 53*h. What is f in x(f) = 0?
-54, 0
Let r be (5/20 - 3) + 3. Let z be (-38)/(-57) - (-2)/(-12). Factor -3/4 - 1/2*y - r*y**4 + z*y**3 + y**2.
-(y - 3)*(y - 1)*(y + 1)**2/4
Suppose 0 = 3*g - w + 2 - 9, -4*g + 1 = -3*w. Let b be 60/30 + (-5)/g. Factor 15/2*y + 75/4 + b*y**2.
3*(y + 5)**2/4
Let o(a) be the second derivative of -a**8/1344 + a**7/252 - a**6/144 - a**4/12 + 19*a. Let p(x) be the third derivative of o(x). Suppose p(r) = 0. Calculate r.
0, 1
Let c = -2203 + 2207. Let p(l) be the second derivative of -8/3*l**3 + 0 + 16*l**2 + 1/6*l**4 + c*l. Factor p(m).
2*(m - 4)**2
Find r, given that 3/5*r**2 - 6/5*r - 24/5 = 0.
-2, 4
Let x(h) be the third derivative of -h**8/6720 - h**7/504 - h**6/90 - h**5/30 + 23*h**4/12 + 8*h**2. Let i(t) be the second derivative of x(t). Factor i(n).
-(n + 1)*(n + 2)**2
Suppose -5*h = 3*q - 13, 3*h + 2*q - 5*q = 27. Find y such that -h*y**2 - y**3 - 64 - 11*y**2 + 0*y**3 + 4*y**2 - 48*y = 0.
-4
Suppose -2*l + 0*l = 4*x - 2, 3*l = 3*x + 48. Find b such that b**5 - 20*b**3 - 4*b**4 - 16 + 4*b**5 - b**5 + 16*b + l*b**2 + 9*b**2 = 0.
-2, -1, 1, 2
Let w(a) be the third derivative of -a**8/1176 - 8*a**7/735 - 2*a**6/35 - 17*a**5/105 - 23*a**4/84 - 2*a**3/7 + a**2 + 5*a. Suppose w(j) = 0. Calculate j.
-3, -2, -1
Let b = 980/11 - 16638/187. Factor -b - 6/17*f - 6/17*f**2 - 2/17*f**3.
-2*(f + 1)**3/17
Let t be 23/30 - (-31)/465. Solve 0*f + 0 + 2/3*f**2 + 1/6*f**5 + t*f**4 + 4/3*f**3 = 0.
-2, -1, 0
Let a = -1338 - -1338. Let b(g) be the second derivative of -3*g - 1/48*g**4 + a - 1/6*g**3 - 1/2*g**2. Determine l so that b(l) = 0.
-2
Let y(q) = q**2 + q - 10. Let z be y(-4). Solve 0*l + 2/13*l**3 + 0*l**4 + 0*l**z + 0 - 2/13*l**5 = 0.
-1, 0, 1
Let 5/4*n**2 + 0 + 55/4*n = 0. What is n?
-11, 0
Let k(v) = -v**2 + 11*v - 3. Let z be k(10). Let f be (-5 + 1)/((-14)/z). Solve -u + 4*u**3 + 2*u**2 + f*u - 3*u**3 = 0.
-1, 0
Let j(s) be the second derivative of 1/60*s**5 + 0*s**3 + s + 2/3*s**2 + 0 - 1/12*s**4. Determine y so that j(y) = 0.
-1, 2
Suppose -2*y - 3 = -3*g + 8, -y + 2*g - 8 = 0. Suppose 0 = -5*h - 3*t - 3, h + 4 = -3*t + 1. Let -1/3*a + h + 3/2*a**3 + 7/6*a**y = 0. What is a?
-1, 0, 2/9
Suppose 1/4*b**3 + 0*b + 3*b**2 - 64 = 0. Calculate b.
-8, 4
Let a(l) be the third derivative of 0 + 0*l - 1/180*l**5 - 32/9*l**3 + 2/9*l**4 + 4*l**2. Factor a(t).
-(t - 8)**2/3
Let w(i) be the second derivative of -529*i**4/6 - 460*i**3 - 900*i**2 + 390*i. Factor w(t).
-2*(23*t + 30)**2
Let r = -90 + 92. Solve -2 + 0*b**4 + 4*b - 10*b**3 + 8*b**3 - r - b**4 + 3*b**2 = 0 for b.
-2, 1
Find t such that 2/13*t**4 + 18*t**2 - 314/13*t - 54/13*t**3 + 132/13 = 0.
1, 3, 22
Let r(t) be the first derivative of -34 - 1/51*t**6 + 0*t - 5/34*t**4 + 8/85*t**5 + 4/51*t**3 + 0*t**2. Factor r(i).
-2*i**2*(i - 2)*(i - 1)**2/17
Suppose -18*z - 679 + 20*z**2 - 5*z**3 - 2*z + 679 = 0. What is z?
0, 2
Let u(f) be the third derivative of -f**5/210 - 92*f**4/21 - 33856*f**3/21 + 48*f**2. Factor u(b).
-2*(b + 184)**2/7
Let u(r) be the second derivative of 0*r**3 + 0*r**5 + 1/75*r**4 - 1/25*r**2 - 56*r - 1/375*r**6 + 0. Determine t so that u(t) = 0.
-1, 1
Let o(w) be the third derivative of w**5/330 + w**4/44 - 28*w**3/33 + 55*w**2. Determine t, given that o(t) = 0.
-7, 4
Let q = 130 + -128. Factor -2/3*o - 2/9*o**q + 0.
-2*o*(o + 3)/9
Let w(g) be the third derivative of g**10/831600 - g**9/332640 + g**5/12 + 10*g**2. Let a(r) be the third derivative of w(r). Suppose a(j) = 0. Calculate j.
0, 1
Determine l so that 0 + 0*l - 10*l**3 + 6*l**2 + 9/2*l**4 - 1/2*l**5 = 0.
0, 1, 2, 6
Let j(z) be the first derivative of -z**6/51 - 12*z**5/85 + z**4/34 + 4*z**3/3 + 12*z**2/17 - 80*z/17 - 406. Suppose j(p) = 0. Calculate p.
-5, -2, 1, 2
Let c(k) = 2*k**3 - 16*k**2 + 15*k - 4. Let x be c(7). Let o(d) be the first derivative of 2/45*d**5 - 8 + 0*d**2 - 1/6*d**4 + 4/27*d**x + 0*d. Solve o(g) = 0.
0, 1, 2
Let c(k) = k + 10. Let u be c(-7). Suppose 0 = -u*x + 4*x - 2. Solve 1 + 4*i + 0*i**x + 2*i**4 - 8*i**3 - 2*i**2 + 2*i**5 - i**4 + 2*i**5 = 0 for i.
-1, -1/4, 1
Let t(u) = -5*u**3 - 13*u**2 + 2*u + 16. Let z(g) = 4*g**3 + 12*g**2 - 3*g - 16. Let j(x) = 5*t(x) + 6*z(x). Factor j(p).
-(p - 4)**2*(p + 1)
Let n(j) be the second derivative of j**7/357 - 7*j**6/255 - j**5/85 + 23*j**4/51 + 65*j**3/51 + 25*j**2/17 - 183*j - 2. Factor n(q).
2*(q - 5)**2*(q + 1)**3/17
Factor 4*k**2 + 4*k**3 + 0 + 4/3*k**4 + 4/3*k.
4*k*(k + 1)**3/3
Let z be ((-6)/(-12))/((-5)/(-4)). Let q = -53 + 55. Find y, given that 18/5 + z*y**q + 12/5*y = 0.
-3
Let k(v) = -3*v - 49. Let a be k(-17). Factor -3*f**2 + 53*f - 3*f**3 + 4*f**2 - 36 + 2*f**a - 29*f.
-3*(f - 2)**2*(f + 3)
Let h(g) be the first derivative of -g**3/3 + 15*g**2/2 + 16*g + 146. What is f in h(f) = 0?
-1, 16
Let j(x) be the first derivative of 0*x - 4/3*x**4 - 11/9*x**3 - 1/3*x**2 - 7/15*x**5 + 9. Find z, given that j(z) = 0.
-1, -2/7, 0
Let 0*w + 2/7*w**5 + 6/7*w**4 + 0*w**2 + 0*w**3 + 0 = 0. What is w?
-3, 0
Let v(s) = -3*s - 15. Let j be v(-6). Suppose -5*a + j*a + 4 = 0. Suppose 2/11*z**a - 8/11*z + 6/11 = 0. Calculate z.
1, 3
Let s = -534 + 538. Let -6/11*a**2 + 6/11*a**s + 0 + 2/11*a + 8/11*a**5 - 10/11*a**3 = 0. Calculate a.
-1, 0, 1/4, 1
Let a = 14 + -8. Suppose 3*y - a*y = 3*v - 9, -5*y + 5 = 0. Let -r**3 - 4*r