2*(4*s + 1)**3/5
Find b, given that 102 + 4*b**2 - 3*b**4 - 2*b**5 - 102 - b**4 + 0*b**4 + 2*b**3 = 0.
-2, -1, 0, 1
Let o = -18246 - -18246. Factor 3/5*t**3 + 0*t + o - 3/5*t**5 + 0*t**4 + 0*t**2.
-3*t**3*(t - 1)*(t + 1)/5
Let -2/13*t**3 - 16/13*t**2 + 0*t + 0 = 0. What is t?
-8, 0
Let n(i) be the second derivative of -i**6/540 - i**5/90 + 5*i**3/6 + 4*i. Let o(f) be the second derivative of n(f). Factor o(z).
-2*z*(z + 2)/3
Let 0*m**3 + m**2 + 4*m**3 - 16*m + 64 - 29*m**2 - 24*m = 0. Calculate m.
-2, 1, 8
Let p be 4 + (2/(-5))/(26/130). Let j(h) be the second derivative of -h**3 + 6*h**p + 1/16*h**4 - 8*h + 0. Find q such that j(q) = 0.
4
Suppose -5*g + 15 = 2*x - 5*x, -3*g = 2*x - 9. Factor 15*h**2 + 9*h + g*h**2 - 3*h**2 + h.
5*h*(3*h + 2)
Let h = -18/59 - -928/2655. Let m(u) be the first derivative of -h*u**3 + 2/3*u + 12 + 4/15*u**2. Solve m(s) = 0.
-1, 5
Let q(d) = 8*d + 54. Let o be q(0). Suppose -58*t + 8 = -o*t. Find r such that -2/3*r**3 + 0*r**t + 0 + 2/3*r**4 + 0*r = 0.
0, 1
Let i = 19757 - 19757. Factor 2/3*j**2 + 0*j - 4/9*j**3 + i - 2/9*j**4.
-2*j**2*(j - 1)*(j + 3)/9
Let j(y) be the first derivative of -1/36*y**4 + 0*y - 3 - 3/2*y**2 + 1/360*y**5 + 1/12*y**3. Let b(f) be the second derivative of j(f). Factor b(w).
(w - 3)*(w - 1)/6
Let o(a) = 3*a + 30. Let u be o(-12). Let p be 4 - (-1 + 9) - u. Determine c, given that -2/15*c + 0 + 2/15*c**3 + 0*c**p = 0.
-1, 0, 1
Let s = 32 + -32. Let v(m) = m**3 + 3*m**2 - 7*m + 15. Let h be v(-5). Factor 2/5*i**2 + h + s*i + 2/5*i**3.
2*i**2*(i + 1)/5
Factor 9/2 + 1/4*x**3 - 2*x**2 - 11/4*x.
(x - 9)*(x - 1)*(x + 2)/4
Suppose 0 = 14*z - 11*z - 15. Factor -25*b**5 + 1 - 2*b**3 - 31*b**z - 2*b**2 + b**4 + 57*b**5 + b.
(b - 1)**2*(b + 1)**3
Let p(h) be the second derivative of -27*h**5/20 - 109*h**4/2 - 672*h**3 - 432*h**2 - h + 84. Find i such that p(i) = 0.
-12, -2/9
Let d(h) be the second derivative of -3*h**5/20 - h**4 + 7*h**3/2 + 15*h**2 + 10*h - 15. Factor d(z).
-3*(z - 2)*(z + 1)*(z + 5)
Let s = -331 - -337. Let f(t) be the second derivative of 0 + 1/120*t**s + 0*t**3 + 0*t**5 + 1/8*t**2 - 1/24*t**4 + 4*t. Determine w, given that f(w) = 0.
-1, 1
Suppose -24 = -47*o + 11*o + 48. Let -2/3*u**o + 2/3*u + 2/3*u**4 - 2/3*u**3 + 0 = 0. Calculate u.
-1, 0, 1
Let p(z) = z - 12. Let x be p(16). Solve 4*a**x - 999*a + 999*a = 0 for a.
0
Let z(u) be the first derivative of -u**6/6 + 3*u**4/4 - 2*u**3/3 - 47. Determine l, given that z(l) = 0.
-2, 0, 1
Factor -3*d**3 - 118 + 105*d + 12*d**2 - 187 - 145.
-3*(d - 5)**2*(d + 6)
Let f(c) be the third derivative of c**7/490 - 3*c**6/14 + 45*c**5/7 - 3*c**2. Factor f(r).
3*r**2*(r - 30)**2/7
Let y(k) be the first derivative of k**2 - 2/3*k**3 + 3 - 6*k - 5/24*k**4. Let q(s) be the first derivative of y(s). Solve q(w) = 0.
-2, 2/5
Let q be 3 - (-5 + (-12)/(-3)). Suppose 3/4*w**2 + 1/2*w + 0*w**3 - 1/4*w**q + 0 = 0. Calculate w.
-1, 0, 2
Let u(j) be the first derivative of j**4 - 5/3*j**3 - 12 - j - 2*j**2. Let c(d) = -3*d**3 + 4*d**2 + 3*d. Let o(i) = -3*c(i) - 2*u(i). Solve o(s) = 0 for s.
-1, 1, 2
Let u(g) be the second derivative of 5*g**7/7 + 11*g**6/6 - 39*g**5/2 + 35*g**4 - 20*g**3/3 - 75*g**2/2 - 264*g. Solve u(a) = 0.
-5, -1/3, 1, 3/2
Let p be (-2)/(-7) + 24170/(-70). Let l = p + 3113/9. Factor -l + 2/9*t**2 + 0*t.
2*(t - 2)*(t + 2)/9
Let o(q) = -10*q**2 + 211*q - 702. Let b(c) = 5*c**2 - 106*c + 352. Let w(v) = -9*b(v) - 4*o(v). What is j in w(j) = 0?
4, 18
Let b = -7 - -25. Let i = b - 16. Determine j, given that -3*j**2 + j**2 - j**i - 48 + 0*j**2 + 24*j = 0.
4
Suppose -36*b**4 + 49*b**3 + 19*b**3 + 4*b**5 + 28*b**3 + 74*b**2 - 138*b**2 = 0. Calculate b.
0, 1, 4
Let i(t) be the first derivative of 13*t**4 - 8*t**3/3 - 104*t**2 + 32*t + 85. Find j such that i(j) = 0.
-2, 2/13, 2
Let g be -3 + 1 + -2 + 1. Let r be (8/g)/(8/(-12)). Suppose -3*s**2 - 2*s**5 + 15*s**4 - 3*s**2 - 14*s**3 - 25*s**r + 0*s**2 = 0. What is s?
-3, -1, 0
Let a be 7/(21/2)*(2 + 4). Let m(k) be the third derivative of 0*k**a - 1/70*k**7 + 3*k**2 + 1/20*k**6 + 0 + 0*k**3 + 0*k - 1/20*k**5. Solve m(h) = 0 for h.
0, 1
Let s = -2481 - -2484. Let -4/7*l**2 - 4/7*l**4 + 1/7*l**5 + 6/7*l**s + 0 + 1/7*l = 0. Calculate l.
0, 1
Let x(j) be the first derivative of 2*j**3/5 + 57*j**2/5 + 72*j + 293. Let x(f) = 0. What is f?
-15, -4
Let b(u) be the third derivative of -23*u**6/60 - 5*u**5/6 - u**4/6 + 103*u**2 - 2*u. Factor b(j).
-2*j*(j + 1)*(23*j + 2)
Let f(q) be the first derivative of -q**5/35 + q**4/28 + 2*q**3/21 + 506. Factor f(y).
-y**2*(y - 2)*(y + 1)/7
Let h(p) = -p**3 + p**2 + p. Let x(c) = c**2 + c. Let t(m) = 5*h(m) - 5*x(m). Factor t(z).
-5*z**3
Let s(f) be the first derivative of -8*f**5/15 + 31*f**4/6 - 152*f**3/9 + 17*f**2 + 12*f - 44. Find r, given that s(r) = 0.
-1/4, 2, 3
Let -24/5*v + 0 - 56/5*v**2 + 98/5*v**3 - 14/5*v**5 - 4/5*v**4 = 0. Calculate v.
-3, -2/7, 0, 1, 2
Let n be 1/(-5) - 7107/(-1035). Suppose 2*p + 0*p - 4 = y, 5*y - 4 = 2*p. Factor -8/3*v + 0 + n*v**y + 28/3*v**3.
4*v*(v + 1)*(7*v - 2)/3
Let v(q) = -q**3 - q**2 + q - 1. Suppose -5 = -d - 25. Let c(j) = -5*j**5 + 10*j**4 - 20*j**3 - 30*j**2 + 25*j - 20. Let w(y) = d*v(y) + c(y). Factor w(b).
-5*b*(b - 1)**3*(b + 1)
Let u(o) be the first derivative of 0*o + 29 - 25/4*o**4 + 45/2*o**2 + 5*o**3 + o**5. Factor u(p).
5*p*(p - 3)**2*(p + 1)
Let q = 548/7 + -1630/21. Determine x, given that -4/3*x + q*x**2 + 0 = 0.
0, 2
Suppose 5*v - 160*v**2 - 907 + 1280*v**3 + 907 = 0. Calculate v.
0, 1/16
Let a = 117 - 114. Suppose -10*r + 13*r = a*n - 3, 2*r + 2 = -3*n. Find j, given that 1/3*j**5 - 1/3*j**4 + 1/3*j**2 + n - 1/3*j**3 + 0*j = 0.
-1, 0, 1
Let c be 1/1*(2 + 1). Let j = 7 - c. Factor -u**4 + 4*u**4 - 4*u**3 - 5*u**j - 2*u**2.
-2*u**2*(u + 1)**2
Suppose c - 57 = -55. Factor 12*j + 0 - c + 4 - 4*j**2 - 10.
-4*(j - 2)*(j - 1)
Factor -279*b**2 - 42 - 2338*b - 27*b**3 - 66 + 2002*b.
-3*(b + 9)*(3*b + 2)**2
Suppose 24 = -11*b + 79. Suppose -10 = -b*j + 5. Factor -3/7*y**j + 3/7*y + 3/7 - 3/7*y**2.
-3*(y - 1)*(y + 1)**2/7
Suppose 7*i = -582 - 482. Let z be (i/(-665))/(1 + (-8)/10). Factor 12/7*u**2 + z*u + 2/7 + 2/7*u**4 + 8/7*u**3.
2*(u + 1)**4/7
Factor 15/4*k**2 - 10 + 5/4*k**3 - 15/2*k.
5*(k - 2)*(k + 1)*(k + 4)/4
Let -4*v**5 + 25672*v**3 + 20*v**2 + 12*v - 52*v**2 - 25648*v**3 = 0. Calculate v.
-3, 0, 1
Let i(x) be the second derivative of -x**6/6 - 5*x**5/4 - 5*x**4/4 + 15*x**3/2 - 4*x + 147. Factor i(z).
-5*z*(z - 1)*(z + 3)**2
Factor 9/2*m**2 + 0 + 3/2*m**3 + 3*m.
3*m*(m + 1)*(m + 2)/2
Let j(p) be the second derivative of -p**4/15 + p**3/3 + 3*p**2/5 - 431*p. Factor j(d).
-2*(d - 3)*(2*d + 1)/5
Let w(z) be the first derivative of -z**7/1400 + z**6/300 - 4*z**3 - 11. Let b(f) be the third derivative of w(f). Suppose b(t) = 0. What is t?
0, 2
Let a(c) = c**2 + 5*c + 8. Let k be a(-2). Let o = k + -2. Factor 4/9*z - 2/9*z**4 + 2/9*z**2 + o - 4/9*z**3.
-2*z*(z - 1)*(z + 1)*(z + 2)/9
Let s(j) = j + 11. Let x be s(-3). Let m = x + -6. Factor 0*t**4 + 14*t**5 + m*t**4 - 15*t**5 - t**3.
-t**3*(t - 1)**2
Let w(l) be the third derivative of -5/336*l**8 + 32*l**2 + 0*l**6 + 0*l + 0 + 0*l**3 - 1/21*l**7 + 1/6*l**5 + 5/24*l**4. Find z, given that w(z) = 0.
-1, 0, 1
Let o = -1306 - -1310. Suppose 4*q**2 + 20/7*q**o + 36/7*q**3 + 0 + 8/7*q + 4/7*q**5 = 0. What is q?
-2, -1, 0
Let l(f) be the second derivative of -11/4*f**4 + 5/2*f**6 + 6*f**2 + 6*f**3 + 0 - 5*f - 9/2*f**5. Determine a so that l(a) = 0.
-2/5, 1
Let a(w) = 5*w**3 - 31*w**2 + 48*w + 988. Let j(l) = -14*l**3 + 91*l**2 - 146*l - 2962. Let i(q) = -11*a(q) - 4*j(q). Find x such that i(x) = 0.
-5, 14
Let q(m) be the third derivative of m**6/150 - 4*m**5/15 + 25*m**4/6 - 100*m**3/3 - 294*m**2. Factor q(c).
4*(c - 10)*(c - 5)**2/5
Let k(x) be the third derivative of 5*x**8/112 + 18*x**7/35 + 41*x**6/20 + 3*x**5 + 9*x**4/8 - 178*x**2. Suppose k(c) = 0. Calculate c.
-3, -1, -1/5, 0
Let t(n) = 4*n**3 - n**2. Suppose x = -3*x - 12, b + 3*x + 12 = 0. Let y(r) = -r**3 + r**2. Let d(u) = b*y(u) - t(u). Determine f, given that d(f) = 0.
-2, 0
Let g(h) be the first derivative of -h**3/6 + 3*h**2/4 - h - 103. Factor g(f).
-(f - 2)*(f - 1)/2
Let z(a) = a**3 - 10*a**2 - 12*a + 13. Let j be z(11). Let h = -1202/7 + 172. What is w in 0 + h*w - 2/7*w**j = 0?
0, 1
Let y(r) be th