+ 0 + 0*s. Factor y(r).
-2*(r - 1)**2
Let j(o) be the third derivative of 0*o**3 + 1/50*o**5 + 0*o - 1/15*o**4 + 1/300*o**6 + 11*o**2 + 0. Determine p, given that j(p) = 0.
-4, 0, 1
Suppose -12*h = h - 39 - 0. Suppose q + 0 + 1/2*q**2 - 1/2*q**4 - q**h = 0. Calculate q.
-2, -1, 0, 1
Let u(v) = 3*v**5 + 15*v**4 - 15*v**3 - 15*v**2 - 12*v + 24. Let q(p) = -p**4 + p**3 + p**2 + p - 2. Let a(y) = -12*q(y) - u(y). Find m such that a(m) = 0.
-1, 0, 1
Let s(g) be the third derivative of -g**5/15 - 17*g**4/3 - 578*g**3/3 - g**2 + 2. Factor s(v).
-4*(v + 17)**2
Let d(k) be the second derivative of -k**5/50 + 12*k**4/5 - 576*k**3/5 + 13824*k**2/5 + 12*k. Suppose d(w) = 0. Calculate w.
24
Let h = 517/5 + -103. Let w be 5*(5 - (-92)/(-20)). Determine c, given that -4/5*c**w + 0 + h*c = 0.
0, 1/2
Let q(t) = -t**2 + 12*t - 6. Let f be q(11). Factor -2*g**f + 5*g**3 - 3*g**5 + 131*g**2 - 131*g**2.
-5*g**3*(g - 1)*(g + 1)
Let c be (4265 + -4325)/((-10)/4 + 2/8). Determine m, given that c*m + 320/3 + 5/3*m**2 = 0.
-8
Let t(y) = 9*y**4 + 10*y**3 - 10*y**2 - 10*y + 1. Let u(p) = -2*p**4 - p**3 + p**2 + p + 1. Let i(g) = t(g) + 5*u(g). Suppose i(a) = 0. Calculate a.
-1, 1, 2, 3
Let r(n) be the second derivative of -n**6/10 + 3*n**5/5 - 91*n. Factor r(b).
-3*b**3*(b - 4)
Let r(b) be the third derivative of -b**8/448 - 3*b**7/140 - 11*b**6/160 - b**5/40 + 3*b**4/8 + b**3 + 352*b**2. Let r(o) = 0. Calculate o.
-2, -1, 1
Let i(x) = x**3 - 20*x**2 - 100*x + 100. Let d be i(24). Factor 16/3*l - 16/3*l**2 + 4/3*l**5 + 8/3*l**4 + 0 - d*l**3.
4*l*(l - 1)**2*(l + 2)**2/3
Let i(j) be the first derivative of 0*j**4 - 1/150*j**5 + 0*j**2 - 1/900*j**6 + 2/3*j**3 + 0*j - 4. Let a(z) be the third derivative of i(z). Factor a(t).
-2*t*(t + 2)/5
Let i(s) = -s**2 - 12*s + 28. Let x be (-220)/16 + 4 + 68/(-16). Let w be i(x). Suppose 1/2*v**3 - v + w + 1/2*v**2 = 0. Calculate v.
-2, 0, 1
Determine h so that 5*h**2 - 35*h**2 + 42*h + 3*h + 5*h**3 + 0*h**3 - 20 = 0.
1, 4
Let j be ((209/(-19))/(-33))/((-17)/(-6)). Suppose 2/17*r**2 + j - 4/17*r = 0. Calculate r.
1
Let i = 248 - 246. Let p(v) be the second derivative of 0*v**i + 0 - v - 1/36*v**4 + 1/18*v**3. Suppose p(g) = 0. Calculate g.
0, 1
Let u(c) be the first derivative of -c**3/4 + 87*c**2/8 - 81*c/2 + 408. Suppose u(p) = 0. Calculate p.
2, 27
Factor -v + 9*v - 2*v**2 + 98 - 104.
-2*(v - 3)*(v - 1)
Let z(t) be the first derivative of t**6/720 + t**5/20 + 3*t**4/4 - 11*t**3/3 + 22. Let f(i) be the third derivative of z(i). Factor f(j).
(j + 6)**2/2
Let i(c) be the second derivative of c**7/126 - c**6/90 - 23*c**5/60 - 13*c**4/12 - c**3 + 375*c. Factor i(n).
n*(n - 6)*(n + 1)**2*(n + 3)/3
Let m(a) be the third derivative of 0*a - 9*a**2 + 0 - 1/30*a**5 + 0*a**3 - 1/3*a**4. Factor m(o).
-2*o*(o + 4)
Let d = -33973/3 + 11325. Factor 10/3*u**2 + 8/3*u + d*u**3 + 0.
2*u*(u + 1)*(u + 4)/3
Determine p so that -9/2*p - 21/4*p**4 + 0 + 69/4*p**3 - 15/4*p**5 - 15/4*p**2 = 0.
-3, -2/5, 0, 1
Let l(v) be the first derivative of -v**7/168 - v**6/180 - 2*v**3 - 4. Let y(i) be the third derivative of l(i). Factor y(s).
-s**2*(5*s + 2)
Let s(p) be the third derivative of -p**8/1344 + p**7/120 - 3*p**6/80 + 11*p**5/120 - 13*p**4/96 + p**3/8 - 2*p**2 + 4. Factor s(x).
-(x - 3)*(x - 1)**4/4
Let z(u) be the first derivative of -u**3/12 + 8*u**2 - 256*u - 244. Factor z(r).
-(r - 32)**2/4
Let y(l) be the third derivative of -l**4 + 3/112*l**8 + 13/70*l**7 + 17/40*l**6 + 0 - 2*l**3 + 0*l + 3/20*l**5 + 23*l**2. Solve y(t) = 0 for t.
-2, -1, 2/3
Suppose 40*h**3 + 21*h**2 + 2*h**5 + 327*h**4 - 309*h**4 + 3*h**2 = 0. What is h?
-6, -2, -1, 0
Let n(w) be the second derivative of 7*w**5/60 + 5*w**4/3 - 2*w**3 + 7*w**2/2 + 9*w. Let q(v) be the first derivative of n(v). Find j such that q(j) = 0.
-6, 2/7
Let i = -2251/294 - 1/98. Let v = i - -49/6. Solve -v*t - 1/2 + 1/2*t**2 + 1/2*t**3 = 0.
-1, 1
Let h be (30/(-16))/(33*(-8)/176). Solve h*m**4 + 2*m**3 - 1/2*m + 1/4*m**2 + 0 = 0 for m.
-1, 0, 2/5
Let d(o) = -o + 3. Let j be d(0). Let 28*y**2 - y + 4 - 33*y**2 + 1 + 5*y**j - 4*y = 0. What is y?
-1, 1
Let a = -33 + 38. Suppose 0 = 3*x - 4*x - 4*u - 8, -5*u - 10 = -a*x. Factor 0*o - 3/7*o**5 + 0*o**4 + 3/7*o**3 + x*o**2 + 0.
-3*o**3*(o - 1)*(o + 1)/7
Find q such that -35/2*q**4 + 55/2*q**2 + 15/2*q**5 - 15/2*q**3 + 0*q - 10 = 0.
-1, -2/3, 1, 2
Let l(j) = -20*j**4 + 156*j**3 - 72*j**2. Let o(q) = 3*q**4 - 24*q**3 + 11*q**2. Let t(z) = 5*l(z) + 32*o(z). Factor t(a).
-4*a**2*(a - 2)*(a - 1)
Solve 1156*g**4 - 2*g**5 - 10*g + 12*g**3 - 4*g**2 + 1 - 1158*g**4 + 5 = 0.
-3, -1, 1
Let p(n) = 48*n**2 - 6*n + 6. Let h(v) = -49*v**2 + 6*v - 4. Let i(f) = -3*h(f) - 2*p(f). Solve i(k) = 0.
0, 2/17
Factor -y + 8/7 - 1/7*y**2.
-(y - 1)*(y + 8)/7
Let z be -2*10*(-11)/(-220)*(-3 - -1). What is s in 8/5 + 0*s - 2/5*s**z = 0?
-2, 2
Let w be 2106/(-93060) - 3/(-5). Let z = -3/94 + w. Suppose 4/11*p + 2/11*p**3 + 0 - z*p**2 = 0. Calculate p.
0, 1, 2
Let v be 4 - 4*424/448. Let q(p) be the first derivative of 0*p**3 + 2/35*p**5 + 0*p + 0*p**2 + v*p**4 + 7. Solve q(r) = 0 for r.
-3, 0
Let k(b) = b**2 + 23*b - 7. Suppose 7 = 5*v - 63. Suppose -3*x + 7 = -v. Let z(o) = 12*o - 4. Let g(r) = x*z(r) - 4*k(r). What is a in g(a) = 0?
-2, 0
Suppose 0 = -3*a + 3, -4*u - u + 3 = 3*a. Let k = -13/61 + 161/183. Suppose u + k*h**2 - 4/3*h = 0. Calculate h.
0, 2
Let f be 618/21 - (-65 - -85). Let f*i - 20/7 + 2*i**2 = 0. Calculate i.
-5, 2/7
Let z(h) = -h**4 + 4*h**3 - 1 + 1 - 3*h**3. Let y(o) = 7*o**4 + 2*o**3 - 3*o**2 - 6*o. Let f(p) = -y(p) - 4*z(p). Determine n, given that f(n) = 0.
-2, -1, 0, 1
Let s be ((-54)/(-180))/(2 - (-16)/(-10)). Factor -1/4*h**5 + 0*h - s*h**3 - 3/4*h**4 - 1/4*h**2 + 0.
-h**2*(h + 1)**3/4
Let g(p) = -p**2 - 85*p + 548. Let d be g(-91). Factor 2/11*x**d + 6/11*x + 4/11.
2*(x + 1)*(x + 2)/11
Let b(d) be the second derivative of 4*d**7/7 - 5*d**6/3 - 7*d**5/10 + 8*d**4/3 + 4*d**3/3 - 5*d - 22. Find q, given that b(q) = 0.
-2/3, -1/4, 0, 1, 2
Let x = 17 - 12. Factor -11*d - 22*d**4 + 28*d**4 + 8*d - 6*d**2 + 3*d**x.
3*d*(d - 1)*(d + 1)**3
Let t(r) be the first derivative of r**5/40 - 3*r**4/32 - r**3/6 + 61. Find s, given that t(s) = 0.
-1, 0, 4
Let z(c) be the second derivative of c**6/720 + c**5/60 + c**4/16 - 3*c**3/2 + 6*c. Let a(h) be the second derivative of z(h). Factor a(d).
(d + 1)*(d + 3)/2
Let q(g) be the third derivative of 0*g**3 - 1/60*g**6 + 13*g**2 + 1/15*g**5 + 0*g + 1/4*g**4 + 0. Factor q(i).
-2*i*(i - 3)*(i + 1)
Suppose 10*v - 58 = -19*v. Let z(g) be the second derivative of 1/12*g**3 - 1/40*g**5 + 0 + 4*g - 1/4*g**v + 1/24*g**4. Solve z(j) = 0.
-1, 1
Let b(r) be the first derivative of -1/8*r**4 - 1/2*r**3 - 15 + 1/10*r**5 - r + 5/4*r**2. What is u in b(u) = 0?
-2, 1
Suppose -3*v - 6*n + 4 = -7*n, 0 = -v - 5*n + 12. Factor 0 - 2/13*z**2 + v*z.
-2*z*(z - 13)/13
Let v(b) be the first derivative of -b**5/60 + b**4/6 - 11*b**3/18 + b**2 - 3*b - 35. Let d(c) be the first derivative of v(c). Solve d(m) = 0.
1, 2, 3
Let v = 59 - 58. Suppose 0 = -4*z + z + 12. Find i such that 17/2*i**z - 19/2*i**2 + 25/2*i**3 - 5/2*i - 10*i**5 + v = 0.
-1, -2/5, 1/4, 1
Suppose 1 = -2*g - s + 6, -1 = -g - 2*s. Let a(t) be the third derivative of 0*t + 0 + t**2 + 3/20*t**5 - 1/40*t**6 + 0*t**g - 1/4*t**4. Factor a(r).
-3*r*(r - 2)*(r - 1)
Factor 62/9*j**4 + 2/9*j**5 + 0 + 58/3*j**3 + 56/9*j + 170/9*j**2.
2*j*(j + 1)**3*(j + 28)/9
Suppose -5*a**2 - 3*a**4 - 26*a - 9 + 18*a**3 - 4*a**2 - 27*a**2 + 56*a = 0. What is a?
1, 3
Suppose -20 - 8 = -7*d. Let s(c) be the first derivative of -1/27*c**6 - 1/9*c**2 - 4 + 0*c**5 + 0*c**3 + 0*c + 1/9*c**d. Factor s(x).
-2*x*(x - 1)**2*(x + 1)**2/9
Let m(l) be the third derivative of l**7/280 - l**6/32 - 3*l**5/20 + 5*l**4/2 - 8*l**3 + l**2 - 67*l. Factor m(b).
3*(b - 4)**2*(b - 1)*(b + 4)/4
Let h(b) be the first derivative of -17*b**3/30 + 151*b**2/20 + 9*b/5 + 77. Factor h(x).
-(x - 9)*(17*x + 2)/10
Let q = 246 - 142. Let i = 313/3 - q. What is y in 0 - i*y**3 + 1/3*y**2 + 0*y = 0?
0, 1
Let n(y) = y**3 + 11*y**2 + 72*y + 622. Let a be n(-10). Determine v so that 2/19*v - 2/19*v**3 + 2/19*v**a - 2/19 = 0.
-1, 1
Factor d**3 - 5/6*d**4 - 7/6*d + 1/2 + 1/3*d**2 + 1/6*d**5.
(d - 3)*(d - 1)**3*(d + 1)/6
Let d be (-14)/(-24) + -1 + (-4)/(-6). Supp