*3 = 0. Calculate z.
-149, -2, 0
Suppose -27*l = -34*l - 2*k - 18, 36 = 2*l - 2*k. Let 4*o**3 + 16/3*o**l - 4*o + 2/3*o**4 - 6 = 0. What is o?
-3, -1, 1
Let z = -49/456 + 29/152. Let w(i) be the second derivative of -1/28*i**7 - 9*i + 0*i**2 + 0 - 3/10*i**5 - 1/4*i**4 - 1/6*i**6 - z*i**3. What is l in w(l) = 0?
-1, -1/3, 0
Let d(g) be the first derivative of -208*g**5/45 - 133*g**4/3 - 916*g**3/27 + 74*g**2/3 - 28*g/9 + 18. Suppose d(q) = 0. Calculate q.
-7, -1, 1/13, 1/4
Let t(a) be the first derivative of -a**4/2 + 12*a**2 + 32*a + 1130. Factor t(c).
-2*(c - 4)*(c + 2)**2
Let n = 18878 - 18878. Let w(y) be the third derivative of n*y + 4/27*y**3 + 1/540*y**6 - 1/27*y**4 - 10*y**2 + 0 - 1/270*y**5. Factor w(c).
2*(c - 2)*(c - 1)*(c + 2)/9
Let c(g) be the second derivative of g**9/113400 + g**8/12600 + g**7/6300 - 33*g**4/4 + g**2 - 40*g. Let k(l) be the third derivative of c(l). Factor k(d).
2*d**2*(d + 1)*(d + 3)/15
Let c(l) be the third derivative of -l**5/300 - 7*l**4/40 + 13*l**3/3 - 7*l**2 - 125*l. Factor c(i).
-(i - 5)*(i + 26)/5
Let y(u) be the third derivative of u**2 - 14/3*u**3 + 0 + 1/30*u**6 + 5/2*u**4 + 69*u - 3/5*u**5. Find f, given that y(f) = 0.
1, 7
Let r(h) be the second derivative of h**7/84 + 5*h**6/48 + h**5/3 + 5*h**4/12 - 43*h**2 - 119*h. Let u(q) be the first derivative of r(q). Factor u(a).
5*a*(a + 1)*(a + 2)**2/2
Let a be -3*8/((-48)/4122). Let r = 26809/13 - a. Factor r - 4/13*g**2 + 8/13*g - 2/13*g**3.
-2*(g - 2)*(g + 2)**2/13
Let w be (-1 - -2)*(0 + 0). Suppose 2*u = n + 6, -u + n - 3*n + 8 = w. Factor -1 - 8*t + 7*t**2 - t**4 + 12*t**u - 17*t**2 + 15*t - 5*t**5 - 2*t**3.
-(t - 1)**3*(t + 1)*(5*t - 1)
Let i(v) be the second derivative of -v**7/1134 + v**6/1080 + 23*v**4/12 - 16*v. Let m(h) be the third derivative of i(h). Suppose m(p) = 0. Calculate p.
0, 3/10
Let d = 314886/498389 + -6/26231. Factor 6/19 - 34/19*m - d*m**2.
-2*(m + 3)*(6*m - 1)/19
Let j(l) be the first derivative of 5/3*l**3 - 45*l - 20*l**2 + 1. Find f such that j(f) = 0.
-1, 9
Let s(q) be the third derivative of q**5/80 - 173*q**4/32 + 43*q**3/2 - 1496*q**2. Let s(j) = 0. Calculate j.
1, 172
Let j be (-6)/20*((-8)/6)/(276/46). Let g(d) be the third derivative of 3*d**2 + 0 - j*d**3 - 1/150*d**5 + 0*d + 1/30*d**4. Factor g(n).
-2*(n - 1)**2/5
Suppose h - 3*h + 4 = 0. Determine f, given that 5*f**2 - 12*f**2 - 2*f**h + 5*f**2 = 0.
0
Suppose -28/17*a + 26/17*a**2 - 48/17 = 0. What is a?
-12/13, 2
Suppose 0 = -5*c - 74 + 94. Solve c*p - 153*p**5 - 156*p**5 - 8*p**3 + 313*p**5 = 0.
-1, 0, 1
Let r(j) = j**3 - 33*j**2 + 60*j + 62. Let u be r(31). Suppose -4*q + 3*l = 1 - 6, q + 3*l - 5 = u. Factor 2 - 17/2*b + 10*b**2 - q*b**3.
-(b - 4)*(2*b - 1)**2/2
Let m(z) be the third derivative of -z**5/12 + 275*z**4/6 - 30250*z**3/3 - 24*z**2 - 3*z. What is p in m(p) = 0?
110
Let b = -1725 - -1730. Let q(n) be the first derivative of 12/5*n**b + 16*n - 13 - n**4 - 28/3*n**3 + 0*n**2 + 2/3*n**6. Let q(h) = 0. What is h?
-2, -1, 1
Let x(z) be the third derivative of 1/60*z**6 + 0*z**3 - 1/2*z**4 + 7 + 9*z**2 + 1/30*z**5 + 0*z. Let x(k) = 0. What is k?
-3, 0, 2
Suppose -2 = 2*o, v + 4*v + 3*o - 7 = 0. Let j be v/(-3)*(2 + -20). Factor -8*a + 2*a**5 + 2*a**2 - j*a**3 - 6 + 18*a + 2*a**4 + 2*a**2.
2*(a - 1)**3*(a + 1)*(a + 3)
Factor 276480/11 - 2016/11*p**2 + 6912/11*p - 2/11*p**4 - 124/11*p**3.
-2*(p - 10)*(p + 24)**3/11
Let z(a) = -2*a**2 + 6*a + 3. Let t(n) = -30*n + 6*n**2 + 9*n**2 - 5*n**2 - 14. Let l = 20 - 17. Let y(u) = l*t(u) + 14*z(u). Solve y(j) = 0 for j.
0, 3
Factor -2/11*i**3 + 0 + 174/11*i**2 + 356/11*i.
-2*i*(i - 89)*(i + 2)/11
Factor -374076577924 + 8848*t**3 - 7339416*t**2 - t**4 - 3*t**4 + 2349676940*t + 356121092*t.
-4*(t - 553)**4
Let f(q) be the first derivative of -5*q**4 - 148*q**3/3 - 28*q**2 + 3017. Factor f(t).
-4*t*(t + 7)*(5*t + 2)
Factor -20/3*g**4 + 0 - 26/3*g - 76/3*g**2 - 24*g**3 + 2/3*g**5.
2*g*(g - 13)*(g + 1)**3/3
Suppose 10*d = 11*d + 2*v - 17, -5*v = 20. Let h be 6 + (d/(-11) - 3). Suppose -10/11*q - 4/11 - h*q**2 - 2/11*q**3 = 0. What is q?
-2, -1
Let f(z) be the second derivative of -98/13*z**2 - 1/130*z**5 + 2*z + 30 + 2/13*z**4 - 7/13*z**3. Let f(w) = 0. Calculate w.
-2, 7
Let y(v) = v**2 - 18*v - 700. Let n be y(37). Factor 3/5*d - 12/5 - 3/5*d**n + 12/5*d**2.
-3*(d - 4)*(d - 1)*(d + 1)/5
Suppose -3*h = 6*x - 3*x - 21, 5*h - 35 = 2*x. Determine w so that 11*w - h*w + 4*w**2 + 4*w**3 + 0*w**3 - 12*w = 0.
-2, 0, 1
Factor -9/2*s - 10 - 1/2*s**2.
-(s + 4)*(s + 5)/2
Let i(n) be the third derivative of -n**6/30 - n**5/15 + 5*n**4/3 - 16*n**3/3 + 1120*n**2. Let i(j) = 0. Calculate j.
-4, 1, 2
Let m(j) be the second derivative of -j**4/4 + 5*j**3/2 + 21*j**2 - 3135*j - 1. Factor m(u).
-3*(u - 7)*(u + 2)
Let p(j) be the first derivative of -j**6/45 + j**5/10 - j**4/6 + j**3/9 + 74*j + 29. Let d(c) be the first derivative of p(c). What is y in d(y) = 0?
0, 1
Let b(t) be the second derivative of -13*t + 3/2*t**3 + 4 - t**2 - 5/16*t**5 - 5/8*t**4. Solve b(l) = 0.
-2, 2/5
Let h(q) be the second derivative of q**5/190 + 35*q**4/57 - 71*q**3/57 - 318*q - 3. Find b, given that h(b) = 0.
-71, 0, 1
Suppose 106 = 24*x - 38. Find s, given that -74*s**3 + 594*s**2 - 490*s - 6*s**4 - 209*s**2 + 11*s**4 - x*s**3 = 0.
0, 2, 7
Let f(u) be the second derivative of -u**6/15 + 47*u**5/10 + 53*u**4/6 - 81*u**3 + 144*u**2 + 1882*u. Factor f(r).
-2*(r - 48)*(r - 1)**2*(r + 3)
Let b be 45 + -778 + -1 + -3. Let x = 5161/7 + b. Let -2/7*n**3 + 2/7*n - 2/7*n**4 + 0 + x*n**2 = 0. Calculate n.
-1, 0, 1
Let s(p) = -781*p + 26. Let u be s(-6). Factor -12 + 4736*i + 5*i**3 - u*i - 2*i**3 - 15*i**2.
3*(i - 2)**2*(i - 1)
Factor -126 + 169*q - 53*q - 52*q + 4*q**2 + 378.
4*(q + 7)*(q + 9)
Let f(j) be the second derivative of -17/36*j**4 + 47 + 0*j**2 + j - 1/6*j**5 - 4/9*j**3 - 1/90*j**6. Factor f(v).
-v*(v + 1)**2*(v + 8)/3
Let l = -1238180 - -1238183. Let -16/19*g**4 - 2/19*g**5 - 12/19*g**l + 14/19*g + 0 + 16/19*g**2 = 0. What is g?
-7, -1, 0, 1
Let z(i) be the third derivative of i**6/30 - 14*i**5/15 + 3*i**4/2 + 216*i**3 - 14*i**2 + i + 5. Factor z(y).
4*(y - 9)**2*(y + 4)
Factor 26/3*r + 8/9 - 20/9*r**2.
-2*(r - 4)*(10*r + 1)/9
Let l(z) be the third derivative of 0*z**4 + 0*z**3 + 1/70*z**7 - 40*z**2 + 0*z**5 + 0 + 1/336*z**8 + 0*z + 1/60*z**6. Factor l(q).
q**3*(q + 1)*(q + 2)
Let d = -305 + 307. Find b, given that -188*b**d - 5*b**4 + 88*b**3 - 8*b**4 - 4*b**4 + 5*b**4 + 48*b + 144 = 0.
-2/3, 2, 3
Let w(x) be the first derivative of -2*x**3 + 0*x + 1/2*x**4 + 0*x**2 - 14. Factor w(h).
2*h**2*(h - 3)
Let o = -88/45 + 1477/180. Let c(b) be the second derivative of 0 - 34*b - 7/4*b**5 - 10*b**2 - 65/6*b**3 - o*b**4 - 1/6*b**6. Factor c(f).
-5*(f + 1)**3*(f + 4)
Let n(a) = 2*a**4 - 2*a**2 + a + 1. Let j(g) = -14*g**4 - 50*g**3 + 246*g**2 + 44*g - 238. Let z(v) = -j(v) - 6*n(v). Let z(w) = 0. Calculate w.
-29, -1, 1, 4
Factor -2840 + 80*g + 28*g**3 + 1447 - 3*g**2 + 1425 + 4*g**4 + 75*g**2.
4*(g + 1)*(g + 2)**3
Let v(a) = 13*a**3 - 17*a**2 + 24*a**2 - 18*a + 12*a. Let n(i) = 5*i**3 + 3*i**2 - 2*i. Let c(p) = -17*n(p) + 6*v(p). Factor c(k).
-k*(k + 1)*(7*k + 2)
Let a(o) be the first derivative of o**5/80 - 3*o**4/8 + 14*o + 87. Let n(l) be the first derivative of a(l). Solve n(c) = 0 for c.
0, 18
Let k = -41 - -45. Find y such that 77*y**2 + 28*y**4 - 3*y**5 - 62*y**2 + 150*y + 5*y**k - 99*y**3 = 0.
-1, 0, 2, 5
Suppose -12 - 203*d**2 + 272/3*d + 185*d**3 - 191/3*d**4 + 3*d**5 = 0. What is d?
2/9, 1, 18
Let g(j) = 13*j**2 - 8*j**2 + 2 + 2 - 6*j**2. Let w be g(0). Factor -2*q - 2*q**2 + 10*q**w - 3*q + 5*q**5 - 8*q**2.
5*q*(q - 1)*(q + 1)**3
Let -2/3*k**2 - 1/3*k**3 + 11/3*k + 4 = 0. Calculate k.
-4, -1, 3
What is r in 1/3*r**3 - 2809/3 + 901*r + 35*r**2 = 0?
-53, 1
Let v be (-52 - -40) + 395/(-40)*-2. Factor -v*i + 3/4*i**2 + 5/2.
(i - 10)*(3*i - 1)/4
Let d(l) = l**2 - 166*l + 1563. Let w be d(156). Solve -1/3*o - 1/3 + 1/3*o**w + 1/3*o**2 = 0 for o.
-1, 1
Let v(s) be the third derivative of s**6/75 - s**5/30 - s**4/30 - 105*s**3/2 - 6*s**2 + 2. Let k(b) be the first derivative of v(b). Factor k(n).
4*(n - 1)*(6*n + 1)/5
Let j(f) be the first derivative of 0*f - 507*f**3 - 57 - 6591/2*f**2 - 3/5*f**5 - 117/4*f**4. Factor j(g).
-3*g*(g + 13)**3
Factor 140/9*q 