 l be (-5)/(-3) - 1357/w. Factor -20/3*v**2 + l*v - 4 + 4/3*v**3.
4*(v - 3)*(v - 1)**2/3
Suppose 80*f = 83*f - 594. What is b in 2*b**2 + f - 7*b + 6*b**3 - 202 + 2*b**4 + b = 0?
-2, -1, 1
Solve -1736/9*p**2 + 4/9*p**3 - 3484/9*p - 1744/9 = 0 for p.
-1, 436
Suppose -2*d = 6*d - 8. Let o be -3 + 3/2 + (4 - d). Factor 1/2*r**2 + 1 + o*r.
(r + 1)*(r + 2)/2
Solve 2*g**4 + 845 - 10*g**3 + 90*g + 928 - 46*g**2 - 1521 = 0 for g.
-3, -2, 3, 7
Let m = 3676/927 + 324/103. Factor -m + 0*j + 4/3*j**2 - 2/9*j**3.
-2*(j - 4)**2*(j + 2)/9
Suppose 4*c = 8*n - 3*n + 156, -3*c + 2*n = -124. What is p in 19 + 13 - 16*p - 2*p**2 - 2*p**2 - c = 0?
-3, -1
Let j = 672 + 1356. Suppose 12*r + 0*r = j. Let 27*n + 13*n - 20*n**2 + r + 12*n - 145 = 0. What is n?
-2/5, 3
Let f(r) be the first derivative of -11*r**7/6300 + 17*r**6/2700 - r**5/150 + 254*r**3/3 - 192. Let u(l) be the third derivative of f(l). Factor u(i).
-2*i*(i - 1)*(11*i - 6)/15
Suppose i - 89 = 5*g, -23 - 228 = -3*i - g. Let q = i - 56. Suppose q*d**5 - 13*d**5 - 9*d**4 + 5*d**2 + 7*d**2 - 12*d**5 = 0. What is d?
-1, 0, 2
Let t(r) = -4*r**2 - 10*r + 204. Let v(o) = 4*o**2 + 9*o - 198. Let i(y) = -5*t(y) - 6*v(y). Factor i(z).
-4*(z - 6)*(z + 7)
Let i(f) = 13*f**2 - 180*f - 945. Let m(s) = s**2 - 10*s. Let a(p) = -i(p) + 8*m(p). Factor a(j).
-5*(j - 27)*(j + 7)
Let r(y) = -31*y - 27. Let a be r(-1). Let g(i) be the first derivative of -14 + 5/16*i**a - 5/12*i**3 + 1/48*i**6 - 1/8*i - 1/8*i**5 + 5/16*i**2. Factor g(b).
(b - 1)**5/8
Let z be (-672)/(-1120)*(-10)/(-9). Factor z*g**2 + 32/3 + 16/3*g.
2*(g + 4)**2/3
Let m be ((12/9)/(-4))/(32940/(-576) - -57). Factor 2 - 8/9*b**3 + 2/3*b - m*b**2.
-2*(b - 1)*(2*b + 3)**2/9
Factor -17771*c + 3*c**4 + 750000 - 106681*c + 553*c**3 + 24075*c**2 - 91*c**3 + 108*c**3 - 160548*c.
3*(c - 5)**2*(c + 100)**2
Determine u, given that -7/4*u**4 + 107/4*u**3 - 33/2 - 359/4*u**2 + 325/4*u = 0.
2/7, 1, 3, 11
Let m(d) be the first derivative of -24/7*d**3 - 34/7*d**2 - 37 - 22/7*d - d**4 - 2/35*d**5. Factor m(z).
-2*(z + 1)**3*(z + 11)/7
Let g be (10/15)/(8/228). Factor -10*p - 3*p**2 - g*p - 8*p - 300 - 23*p.
-3*(p + 10)**2
Let x = 746836/155595 - -4/31119. Determine m, given that -72/5 + x*m - 2/5*m**2 = 0.
6
Factor -1/3*y**2 + 155/3 + 154/3*y.
-(y - 155)*(y + 1)/3
Let b(i) be the first derivative of -115*i**2/2 + 2*i + 25. Let z be b(-2). What is k in 5*k - 3*k - 234*k**3 + z*k**3 + 6 - 6*k**2 = 0?
-3, -1, 1
Let p(o) be the third derivative of -8/315*o**7 + 1/15*o**5 + 2/9*o**3 - 5/18*o**4 + 1/18*o**6 + 0*o + 0 + 19*o**2. Let p(l) = 0. Calculate l.
-1, 1/4, 1
Let b(x) be the first derivative of -1/6*x**6 + 31/15*x**5 + 125/9*x**3 - 34/3*x**2 + 21 - 97/12*x**4 + 4*x. Find z such that b(z) = 0.
1/3, 1, 2, 6
Let l = -55355 - -55355. Factor -1/4*t**5 + 5/2*t**4 + 15*t**2 + l - 37/4*t**3 - 9*t.
-t*(t - 3)**2*(t - 2)**2/4
Let p(h) be the first derivative of -h**4/24 + 19*h**2/12 - 5*h - 991. Suppose p(c) = 0. What is c?
-5, 2, 3
Suppose 62 = c - 174. What is j in c*j**4 - 30*j**3 - 11*j**4 + 206*j**5 + 150*j**3 - 81*j**5 + 20*j**2 = 0?
-1, -2/5, 0
Let 760/9*b - 6*b**2 - 952/9 - 40/9*b**3 - 2/9*b**4 = 0. What is b?
-17, -7, 2
Let y(m) be the second derivative of m**4/42 + 2*m**3/21 - 9*m**2 + 116*m + 1. Factor y(r).
2*(r - 7)*(r + 9)/7
Factor 84 + 1/2*x**3 - 23/2*x**2 - 73*x.
(x - 28)*(x - 1)*(x + 6)/2
Determine q so that 1662/7*q**2 + 1660/7*q + 2/7*q**3 + 0 = 0.
-830, -1, 0
Factor -1773/8*r**3 - 5557167/2*r + 8732691 - 3/8*r**4 - 173745/4*r**2.
-3*(r - 3)*(r + 198)**3/8
Let l(p) = p**3 + 3*p**2 + 1043*p + 4190. Let k be l(-4). What is d in d - 1/4*d**k + 3 = 0?
-2, 6
Let n(g) = 443*g**2 + 326*g - 30. Let b(f) = -222*f**2 - 164*f + 14. Let u(l) = 7*b(l) + 3*n(l). Find z, given that u(z) = 0.
-4/5, 2/45
Let n(j) be the third derivative of 2*j**2 - 1/2*j**3 + 0 - 7/8*j**4 - 42*j - 1/8*j**6 - 11/20*j**5. Factor n(h).
-3*(h + 1)**2*(5*h + 1)
Suppose -320*c - 408 + 228*c + c**2 - 3*c**2 + 234*c = 0. What is c?
3, 68
Let u = -108431/42 + 15533/6. Factor u + 2/7*n**2 + 20/7*n.
2*(n + 5)**2/7
Let i(x) be the third derivative of x**6/120 - x**5/12 - 13*x**4/4 - 12*x**3 + 7*x**2 + 1. Factor i(b).
(b - 12)*(b + 1)*(b + 6)
Suppose 307*h + 314*h + 1172*h**2 + 54*h**3 - 621*h - 58*h**3 = 0. Calculate h.
0, 293
What is l in 630*l**3 - 1820*l**2 + 5*l**4 + 2498 - 458 - 5*l**5 + 360 - 40*l = 0?
-12, -1, 2, 10
Determine f, given that 141/2*f - 1/2*f**2 + 0 = 0.
0, 141
Find b, given that -4/3*b**3 + 96 + 104/3*b - 28/3*b**2 = 0.
-9, -2, 4
Let v be 0/((-6 + 120/18)*-3 + 6). Let q(p) be the third derivative of v + 0*p + 1/4*p**4 - 2/3*p**3 + 18*p**2 - 1/30*p**5. Factor q(a).
-2*(a - 2)*(a - 1)
Let r(u) be the second derivative of 16/5*u**3 + 13/15*u**4 + 3/25*u**5 + 1/150*u**6 + 32/5*u**2 - 12 + 2*u. Factor r(m).
(m + 2)**2*(m + 4)**2/5
Let p(t) be the third derivative of t**7/1575 - 11*t**6/1800 - t**5/100 + t**4/6 + 11*t**2. Let h(l) be the second derivative of p(l). Let h(r) = 0. What is r?
-1/4, 3
Let u(k) be the first derivative of 91*k**5 - 62 + 0*k**2 + 40/3*k**3 + 0*k - 165/2*k**4. Determine x so that u(x) = 0.
0, 2/13, 4/7
Let z(a) = -4*a + 113. Let u be z(27). Suppose -1 = -b, -7*y + 3*y - 5*b = -u. Factor 3/4*q**3 + y - 3/4*q**2 + 0*q.
3*q**2*(q - 1)/4
Let m(n) be the third derivative of 71*n**6/60 - 13*n**5/3 + 47*n**4/12 + 4*n**3 - 43*n**2 - 24*n + 2. Factor m(b).
2*(b - 1)**2*(71*b + 12)
Let b = 133 + -129. Let y be (9180/(-5950))/((-3)/14). Factor 0 + 2*t**b + 1/5*t**5 + y*t + 37/5*t**3 + 12*t**2.
t*(t + 2)**2*(t + 3)**2/5
Suppose 1557*j = 1927*j. Determine d so that 1/6*d**3 + 0*d + j + d**2 - 1/6*d**4 = 0.
-2, 0, 3
Let j(q) be the third derivative of 0*q**5 - 42*q**2 + 0*q**3 - 5/336*q**8 + 0*q + 0*q**4 + 0 - 5/24*q**6 - 1/7*q**7. Factor j(c).
-5*c**3*(c + 1)*(c + 5)
Suppose 34431*s - 34400*s - 155 = 0. Solve -3*g**s + 81/4 - 219/4*g**3 + 24*g**4 + 27/4*g**2 + 243/4*g = 0 for g.
-1/2, 3
Let h = 253 - 250. Find x such that -27*x**2 + h*x**3 - 29*x**2 + 9*x + 68*x**2 = 0.
-3, -1, 0
Let q(z) be the third derivative of z**5/60 + 37*z**4/2 - 445*z**3/6 + 2*z**2 + 352*z - 1. Factor q(t).
(t - 1)*(t + 445)
Let i = 552 - 549. Let h be (-1)/(-3) - (i - 38/12). Factor 0*z - 1/2*z**3 - 1/2*z**4 + 1/2*z**5 + h*z**2 + 0.
z**2*(z - 1)**2*(z + 1)/2
Let g(h) be the second derivative of 2*h**7/21 + 78*h**6/5 + 3594*h**5/5 + 10090*h**4/3 + 6574*h**3 + 6498*h**2 + 530*h + 1. Let g(z) = 0. Calculate z.
-57, -1
Let n(l) be the first derivative of -l**6/8 + 27*l**5/20 + 357*l**4/16 + 279*l**3/4 + 255*l**2/4 - 3967. Let n(f) = 0. What is f?
-5, -2, -1, 0, 17
Let t(m) = m**3 + 51*m**2 - 54*m - 60. Let i be t(-52). Let o be ((-3)/2)/(i*6/(-128)). Factor 1/11*l**2 + o*l + 12/11.
(l + 2)*(l + 6)/11
Solve -58/7*q**3 - 4752/7 - 2808/7*q - 2/7*q**4 - 612/7*q**2 = 0.
-11, -6
Let b(c) = -c**2 + 28*c + 245. Let q be b(35). Let d(t) be the third derivative of -5/12*t**4 + 5/6*t**3 + 0*t + q - 4*t**2 + 1/12*t**5. Factor d(o).
5*(o - 1)**2
Suppose 2*w = -4*g + 14, 2*g - 103 = -4*w - 51. Let f(c) be the first derivative of -1/2*c + 3/16*c**4 + w - 1/8*c**2 + 1/3*c**3. Factor f(n).
(n + 1)**2*(3*n - 2)/4
Let p = -305/303 - -169/101. Factor 0*n**2 - 1/3*n**5 + 0*n + 0 - p*n**3 - n**4.
-n**3*(n + 1)*(n + 2)/3
Let c(y) be the second derivative of -y + 7*y**2 + 1/60*y**5 + 0*y**3 + 0 + 1/24*y**4. Let n(b) be the first derivative of c(b). Factor n(v).
v*(v + 1)
Let h(i) be the second derivative of -11*i**7/63 + 119*i**6/45 + 99*i**5/10 + 193*i**4/18 + 26*i**3/9 + 1252*i. Suppose h(z) = 0. What is z?
-1, -2/11, 0, 13
Let c = -37818 + 37820. Factor -5/7*i + 1/7*i**3 + 1/7*i**c + 3/7.
(i - 1)**2*(i + 3)/7
Find n such that 0 - 1/4*n**5 - 31/2*n + 29/4*n**2 - 29/4*n**4 + 63/4*n**3 = 0.
-31, -1, 0, 1, 2
Let a(t) be the first derivative of 5*t**4/8 + 125*t**3/6 - 265*t**2/4 + 135*t/2 + 5725. Factor a(c).
5*(c - 1)**2*(c + 27)/2
Let d(m) = 17*m**2 - 5*m + 6. Let z be d(1). Let v be -2*(0 - z/45). Find p such that -v*p**2 + 0 - 16/5*p = 0.
-4, 0
Let r = -2/801331 - -988842928/189915447. Let a = r - -10/79. Find x such that -4/3*x**2 - 16/3*x - a = 0.
-2
Let u be 32 - 1943/(-319) - 37. Find y, given that 0*y - u*y**4 + 0*y**2 + 0 + 18/11*y**3 + 2/11*y**5 = 0.
0, 3
Suppose -11927*k = -11894*k - 132. Solve -56*o**2 - 524/7*o**3 + 8/