*2 + 383. Find l such that u(l) = 0.
0, 1, 6
Let w be 2 + (348/(-48) - -6). Factor 3/4*q + w*q**2 + 0.
3*q*(q + 1)/4
Let w(z) be the second derivative of -z**6/720 - z**5/180 + z**4/48 - 4*z**2 - 10*z. Let o(a) be the first derivative of w(a). Factor o(p).
-p*(p - 1)*(p + 3)/6
Let b be 1 - (0 + 2 - 2). Suppose -v + b = -1. Factor 8*q**3 - 3*q**4 - 2*q**3 - 28*q**2 + 25*q**v.
-3*q**2*(q - 1)**2
Let g be 6 + (-530)/25*(-5)/(-20). Let v(w) be the second derivative of 1/6*w**4 + 4/5*w**6 + 0*w**2 + 0 + 7*w - g*w**5 + 0*w**3. Factor v(h).
2*h**2*(3*h - 1)*(4*h - 1)
Solve 69*d**3 - 8 - 139*d**5 - 33*d**2 + 142*d**5 + 8 - 39*d**4 = 0.
0, 1, 11
Let b(l) = -l**2 + 8*l - 7. Let j be b(6). Let q = j + -2. Factor -7*k**5 + 3*k**3 + 2*k**2 + q*k**3 - 9*k**3 - 8*k**3 + 16*k**4.
-k**2*(k - 1)**2*(7*k - 2)
Let n = -105/151 + 13281/1510. Factor -8/5*u**2 + 36/5*u - n.
-(4*u - 9)**2/10
Let t = -88 + 91. Suppose 0 = -3*i + t, 2*i + 20 = 3*f + 4*i. Find m, given that -3/2 + f*m + 15/2*m**2 = 0.
-1, 1/5
Let v = 1/587 + -1309/79245. Let s = v - -83/135. Factor 0 - 1/5*f**2 + s*f.
-f*(f - 3)/5
Let h(l) be the first derivative of 3*l**4/10 - 2*l**3/15 - l**2/3 - 2*l/15 + 45. Factor h(i).
2*(i - 1)*(3*i + 1)**2/15
Suppose 33 = z - 4*t, -t - 45 = -4*z + 2*z. Let i = -17 + z. Let -7*n**4 + 4 - n**4 + 8*n**4 + i*n**4 - 8*n**2 = 0. What is n?
-1, 1
Let j(c) = -c**2 - c + 1. Let t(u) = 5*u**3 - 20*u**2 + 20*u + 40. Let f(x) = -5*j(x) - t(x). Factor f(z).
-5*(z - 3)**2*(z + 1)
Let q(f) be the first derivative of -3 + 0*f**3 - 3/32*f**4 + 0*f + 3/16*f**2. Factor q(o).
-3*o*(o - 1)*(o + 1)/8
Let u be 4/(-12) - (-630)/270. Determine j so that -1/7*j**u + 4/7*j + 5/7 = 0.
-1, 5
Let d(f) be the second derivative of -f**4/18 - 13*f**3/9 - 40*f**2/3 - 233*f. Factor d(t).
-2*(t + 5)*(t + 8)/3
Let z(a) be the first derivative of -a**6/480 - a**5/60 - 5*a**4/96 - a**3/12 - 11*a**2 - 3. Let r(k) be the second derivative of z(k). Solve r(w) = 0 for w.
-2, -1
Let k(s) be the third derivative of 9*s**8/28 - 54*s**7/35 + 3*s**6/2 + 5*s**5/3 - 2*s**4 - 8*s**3/3 - 10*s**2 + 11*s. Find z, given that k(z) = 0.
-1/3, 2/3, 1, 2
Let u = 18/191 - -1283/573. Suppose u*m**2 + 0 - 2/3*m = 0. Calculate m.
0, 2/7
Let b(k) be the second derivative of -k**5/90 + 7*k**4/36 - 4*k**2 - 3*k. Let o(p) be the first derivative of b(p). Determine x, given that o(x) = 0.
0, 7
Let v = -1133/115 - -245/23. Factor v - 2/5*y - 2/5*y**2.
-2*(y - 1)*(y + 2)/5
Let a(h) be the second derivative of -h**5/40 - 11*h**4/24 + 25*h**3/12 - 13*h**2/4 + 331*h. Determine w, given that a(w) = 0.
-13, 1
Let r be (-6 + -6)*(-7)/(158 - 4). Factor 0 + 4/11*x + r*x**2.
2*x*(3*x + 2)/11
Suppose -29 = -7*y - 1. Let l be (18/(-21))/(y/(-14)). Solve -15*p - 15 - 4*p**2 + 3*p + 12*p**l + 19 = 0 for p.
-1, 1/3, 1
Let s = -11679 - -11679. Factor s + 2/13*i + 2/13*i**3 - 4/13*i**2.
2*i*(i - 1)**2/13
Let f(r) be the third derivative of -r**5/60 + 5*r**4/24 + 2*r**2 + 21. Let f(c) = 0. What is c?
0, 5
Suppose 143 - 44*z - 47 + 7*z**2 - 47 - 37 = 0. What is z?
2/7, 6
Let n(o) = -4*o**2 + 400*o - 10003. Let g(a) = 4*a**2 - 400*a + 10004. Let f(m) = -3*g(m) - 4*n(m). Determine v so that f(v) = 0.
50
Find w such that -80*w - 111 + 16*w**3 + 104*w**2 + 79 - 44*w**3 = 0.
-2/7, 2
Let u(m) be the third derivative of -m**5/120 + m**3/12 + 390*m**2. Factor u(x).
-(x - 1)*(x + 1)/2
Solve 0*c + 7*c + 2*c**2 + 0*c**2 + 88*c - 5*c = 0.
-45, 0
Let i be (-6 - -10)/(2 + 0). Suppose y - 14 = -5*p, p - i*y = 2*y - 14. Factor 1 - 8*w + 6*w**2 - 3 - p*w + 6.
2*(w - 1)*(3*w - 2)
Let m(z) be the first derivative of z**3/2 - 21*z**2/4 - 66*z - 203. Factor m(j).
3*(j - 11)*(j + 4)/2
Let g(o) = 2*o**2 - 21*o - 3. Let z be g(9). Let r be (-2)/6 + (-25)/z. Factor -1/2*v**2 + v - r.
-(v - 1)**2/2
Let o = -16227 - -16231. Suppose -6/5*c**o + 2/5*c**5 + 0 + 6/5*c**2 + 0*c - 2/5*c**3 = 0. What is c?
-1, 0, 1, 3
Let h = 71 + -62. Let t(r) = -5*r**3 + 10*r**2 + 3*r - 10. Let g(a) = -21*a**3 + 39*a**2 + 12*a - 39. Let c(v) = h*t(v) - 2*g(v). Suppose c(j) = 0. What is j?
-1, 1, 4
Suppose -20 = -2*b + 4*j + 16, -2*j - 16 = 0. Factor -52/5*v - 46/5*v**b - 8/5 - 11/5*v**3.
-(v + 2)**2*(11*v + 2)/5
Suppose 66 = -5*i + 3*v + v, 0 = -4*v + 16. Let n = i - -12. Factor 4/5*m + 18/5*m**3 + 0 + 14/5*m**n + 2/5*m**5 + 2*m**4.
2*m*(m + 1)**3*(m + 2)/5
Let v(k) be the third derivative of 0 + 4/9*k**3 - 1/360*k**6 + 0*k - 1/6*k**4 + 1/30*k**5 - 2*k**2. Factor v(w).
-(w - 2)**3/3
Suppose 444 = 18*y + 390. Let j(a) be the second derivative of -5/3*a**y + 15/2*a**2 + 0 - 14*a - 5/12*a**4. Determine i so that j(i) = 0.
-3, 1
Let u(c) be the third derivative of c**7/1680 - c**6/360 + c**5/240 + 8*c**3/3 - 14*c**2. Let d(o) be the first derivative of u(o). What is k in d(k) = 0?
0, 1
Suppose -7*y = -4*y - r + 4, r - 4 = 2*y. Let x(q) be the second derivative of y - 1/28*q**4 + 8*q + 1/14*q**3 + 0*q**2. Factor x(k).
-3*k*(k - 1)/7
Suppose -4*w + 2*i = 10 - 0, 7 = -2*w - i. Let s be (-187)/255 - (w - -2). Factor s*r**3 + 4/15*r**2 - 2/15 - 2/15*r**4 - 2/15*r**5 - 2/15*r.
-2*(r - 1)**2*(r + 1)**3/15
Let t(z) be the third derivative of -z**6/40 + 2*z**5/5 - 7*z**4/8 + 291*z**2. Factor t(s).
-3*s*(s - 7)*(s - 1)
Let b(r) be the second derivative of r**4/16 + 3*r**3/4 + 15*r**2/8 - 376*r. Factor b(f).
3*(f + 1)*(f + 5)/4
Suppose 5*s - 15 = -q, 6*s + 21 = 9*s + 3*q. Factor 2/7*g**s + 0 + 2/7*g**4 + 0*g + 4/7*g**3.
2*g**2*(g + 1)**2/7
Let c(q) be the third derivative of -5*q**8/336 + q**7/14 - q**6/24 - q**5/4 + 5*q**4/12 + 88*q**2. Let c(d) = 0. What is d?
-1, 0, 1, 2
Let n(c) be the second derivative of -c**7/252 + c**6/180 + 3*c**5/40 + 11*c**4/72 + c**3/9 - 2*c - 14. Determine g, given that n(g) = 0.
-1, 0, 4
Let b(w) = -w + 7. Let l = -15 - -20. Let g be b(l). Factor -9/2*i + 27/4 + 3/4*i**g.
3*(i - 3)**2/4
Suppose -6/5*j**3 - 24/5*j**2 + 12/5 + 3/5*j**5 + 3/5*j + 12/5*j**4 = 0. Calculate j.
-4, -1, 1
Let c(x) be the third derivative of -7*x**5/60 - 23*x**4/24 + 5*x**3 + 499*x**2. Let c(r) = 0. What is r?
-30/7, 1
Suppose -227*a**2 - 180*a**2 + 374*a**2 - 180 - 168*a + 3*a**3 = 0. What is a?
-2, 15
Suppose -49 - 55 = -5*n - 2*a, -3*n = -3*a - 54. Let r be (n/(-8) + -1 - -4)*4. Solve -8/3*i + 2/3*i**2 + r = 0 for i.
1, 3
Let n = 199117/317700 + -1/12708. Let k = n + 1/25. Suppose -1/3*t**2 - 1/3 + k*t = 0. What is t?
1
Let w(r) = -r**3 - 13*r**2 - r - 12. Let p be w(-13). Let n(h) = -2*h**2 + 16*h - 31. Let c(k) = -1. Let q(z) = p*c(z) + n(z). Determine x, given that q(x) = 0.
4
Let -116/9*r**2 + 16*r**3 + 44/9*r - 86/9*r**4 - 2/3 + 20/9*r**5 = 0. What is r?
3/10, 1
Let v(m) be the first derivative of 4*m**5/5 + 7*m**4 + 24*m**3 + 40*m**2 + 32*m - 83. Factor v(y).
4*(y + 1)*(y + 2)**3
Suppose 15 - 5 = 5*x. Let h(f) be the second derivative of -1/9*f**4 + 7/30*f**5 + 0*f**x + 5*f + 0 + 0*f**3. Factor h(k).
2*k**2*(7*k - 2)/3
Let t(v) be the third derivative of -1/540*v**6 + 0*v + 0 + 0*v**3 - 1/270*v**5 + 0*v**4 + v**2. Factor t(r).
-2*r**2*(r + 1)/9
Let a(d) = -d**2 + 13*d - 15. Let u be a(8). Let l = 28 - u. Factor -2/11*w**l + 4/11*w**2 + 2/11*w - 4/11.
-2*(w - 2)*(w - 1)*(w + 1)/11
Let o(w) be the first derivative of -w**8/5040 - w**7/1260 - 5*w**3/3 + 7. Let l(d) be the third derivative of o(d). Find m, given that l(m) = 0.
-2, 0
Suppose -4*w = 2*v - 26, 4*w = 5*v - 159 + 150. Determine i, given that -7/3*i**2 + 5/3*i**w + 2/3 + i - i**3 = 0.
-1, -2/5, 1
Suppose -30*m + 31*m - 5 = 0. Suppose 0 = m*r + 4*z + 6, -4*r - 5*z - 11 = 1. What is l in 20/11*l**3 - 6/11*l**5 - 4/11 + 2/11*l + 24/11*l**r - 4/11*l**4 = 0?
-1, 1/3, 2
Let f(i) be the first derivative of -i**4/4 - 4*i**3/3 - 2*i**2 + 2*i + 2. Let u be f(-2). Solve 2/3*p**u + 4*p + 6 = 0.
-3
Suppose 4*y = -10 - 26. Let a = 9 + y. Suppose a*t**2 - 4*t**2 + 0*t**2 + 2*t**2 + 6*t - 4 = 0. What is t?
1, 2
Let p(y) be the third derivative of -y**9/3024 + y**7/504 + 11*y**4/12 - 28*y**2. Let f(d) be the second derivative of p(d). Solve f(k) = 0.
-1, 0, 1
Let k(h) = -3*h**4 - 3*h**3 - 12*h**2 - 5*h. Let m(s) = -2*s**4 - 2*s**3 - 6*s**2 - 3*s. Let l(a) = -3*k(a) + 5*m(a). Suppose l(r) = 0. Calculate r.
-3, 0, 2
Let o(v) be the second derivative of v**10/30240 + v**9/7560 + v**8/6720 - 11*v**4/12 + v. Let f(j) be the third derivative of o(j). What is 