m + 1/4*m**3 - 9/4 = 0 for m.
1, 9
Let d(b) be the first derivative of -2*b**3/27 - 536*b**2/9 - 143648*b/9 - 60. What is t in d(t) = 0?
-268
Let l(h) = 10*h**3 + 9*h**2 - 10*h + 13. Let g(q) = q**3 + q**2 - q + 1. Suppose s - 4*s = 5*a + 27, 5*s + 4*a = -32. Let f(u) = s*l(u) + 44*g(u). Factor f(j).
4*(j - 1)*(j + 1)*(j + 2)
Let b = 11303 - 11301. Factor 0 + 1/4*m**b - m.
m*(m - 4)/4
Factor -2*s + s**2 - 7*s**2 + 0*s - 4*s + s**2 - 1.
-(s + 1)*(5*s + 1)
Let a(f) be the second derivative of -7*f**5/15 - f**4/3 + 14*f**3/9 + 2*f**2 - 6*f. Let a(k) = 0. What is k?
-1, -3/7, 1
Suppose -n + 7625 = 7622. Factor 7/5*p**n + p + 9/5*p**2 + 1/5 + 2/5*p**4.
(p + 1)**3*(2*p + 1)/5
Factor -40*b**3 - 74*b**3 + 57*b**3 + 2*b**4 + 105*b**2 + b**4 - 51*b.
3*b*(b - 17)*(b - 1)**2
Let x = -588 + 1179/2. Let c be 1/(-2) - (-3 + 1). Determine k so that -3/2*k**5 + 0 + x*k**3 + c*k**2 - 3/2*k**4 + 0*k = 0.
-1, 0, 1
Let y(t) be the first derivative of 11*t**2 - 14/3*t**3 + 21 + 1/2*t**4 - 10*t. Solve y(c) = 0.
1, 5
Let j(q) be the first derivative of q**5/50 - 3*q**4/5 - 5*q**3/6 + 51. Factor j(u).
u**2*(u - 25)*(u + 1)/10
Let n(u) = 9*u**4 + 59*u**3 + 63*u**2 + u - 28. Let l(k) = 3*k**4 + 20*k**3 + 21*k**2 - 10. Let m(q) = 8*l(q) - 3*n(q). Factor m(p).
-(p + 1)**2*(p + 4)*(3*p - 1)
Let v(u) be the first derivative of -5 - 1/5*u**5 - 3/2*u**2 - 7/3*u**3 - 5/4*u**4 + 0*u. Let v(d) = 0. What is d?
-3, -1, 0
Let i = -2669 - -2673. Let c(h) be the third derivative of 1/210*h**7 + 0*h**i + 0*h**3 + 0*h + 14*h**2 + 0 + 1/120*h**5 + 1/80*h**6. Factor c(o).
o**2*(o + 1)*(2*o + 1)/2
Let z be (-2862)/729 - (1 + -5). Let c(x) be the first derivative of 2/9*x**4 + z*x**3 - 5 + 0*x + 0*x**2. Let c(t) = 0. What is t?
-1/4, 0
Let i(r) be the first derivative of 0*r**2 - r**6 - 27/8*r**4 + 28 + 0*r**3 + 0*r + 111/10*r**5. Find v, given that i(v) = 0.
0, 1/4, 9
Suppose 5*g - 2*n - 12 = 0, 4*g = -7*n + 3*n + 4. Factor a**2 - 3*a - 6*a**2 - 3*a**3 + 6*a**3 + 8*a**g - 3.
3*(a - 1)*(a + 1)**2
Let h(t) be the first derivative of -3*t**5/10 + 15*t**4/4 - 29*t**3/2 + 24*t**2 - 18*t + 291. Find x, given that h(x) = 0.
1, 2, 6
Let q(i) = -5*i**4 - 3*i**3 - 3*i**2 - i - 4. Let g(y) = -11*y**4 - 7*y**3 - 7*y**2 - 2*y - 9. Let s = 21 - 12. Let n(c) = s*q(c) - 4*g(c). Factor n(o).
-o*(o - 1)**2*(o + 1)
Let x(o) be the second derivative of -121*o**7/14 - 77*o**6/10 + 117*o**5/80 + 7*o**4/4 - o**3/2 + 45*o. Find a, given that x(a) = 0.
-1/2, 0, 2/11
Factor -12/11 - 2/11*h**3 - 26/11*h - 16/11*h**2.
-2*(h + 1)**2*(h + 6)/11
Let a = -24383/4 + 6096. Solve -a*h**2 - 4 - 2*h = 0.
-4
Let t(b) be the second derivative of b**4/7 + 142*b**3/21 - 48*b**2/7 + 24*b. Let t(l) = 0. What is l?
-24, 1/3
Let k(f) be the second derivative of -3*f**5/160 - 17*f**4/32 - f**3 - 2*f - 35. Factor k(s).
-3*s*(s + 1)*(s + 16)/8
Let t(l) be the second derivative of l**7/945 - l**6/270 + l**4/54 - l**3/27 - 15*l**2/2 + 18*l. Let f(u) be the first derivative of t(u). Solve f(p) = 0 for p.
-1, 1
Suppose p - 2*p + 6 = 0. Determine u, given that 39*u**2 + 5 - 19*u**2 - p*u - 19*u**2 = 0.
1, 5
Suppose -8/13*c**2 + 2/13*c**4 + 0 - 18/13*c**3 + 4/13*c**5 + 8/13*c = 0. Calculate c.
-2, -1, 0, 1/2, 2
Let k(s) be the second derivative of -s**7/195 + s**6/65 - s**5/130 - s**4/78 + 5*s**2/2 + 7*s. Let i(g) be the first derivative of k(g). Factor i(c).
-2*c*(c - 1)**2*(7*c + 2)/13
Let c(q) be the second derivative of -1/3*q**4 + 2/15*q**6 + 4*q + 0 - 4/3*q**3 + 0*q**2 + 2/5*q**5. What is w in c(w) = 0?
-2, -1, 0, 1
Let l(o) be the second derivative of o**6/480 - o**5/160 - 4*o**3/3 - 7*o. Let w(n) be the second derivative of l(n). Let w(r) = 0. Calculate r.
0, 1
Let i be -112*(-5)/55 - (28 + -18). Let -2/11*w - 4/11 + 6/11*w**2 - i*w**4 + 2/11*w**3 = 0. What is w?
-1, 1, 2
Let n be ((77/44)/(-7))/(2*(-1)/16). Let -48/7*w**n + 4/7*w**3 + 192/7*w - 256/7 = 0. Calculate w.
4
Suppose -5*h**3 + 2 - 58/3*h**2 - 37/3*h = 0. What is h?
-3, -1, 2/15
Let q = -32 + 34. Find d such that 3*d - 13*d**3 + 5*d**3 + 3*d**5 + q*d**3 = 0.
-1, 0, 1
Factor -181*v**2 - 14400 - 3*v**3 - 3132*v + 2*v**3 - 11508*v - 16*v**2 - 44*v**2.
-(v + 1)*(v + 120)**2
Let b(a) = -a**2 + 2*a. Let c(f) = 5*f**2 + 28*f + 324. Let y(j) = -4*b(j) - c(j). Find z, given that y(z) = 0.
-18
Suppose -4*u - u = -20, 3*w - 14 = u. Suppose -5*t = k - 12, -6*t + t = -2*k - w. Solve 3*l**2 + 11*l**2 - 16*l**t = 0 for l.
0
Let b = 1872 - 1867. Find r such that -r - 2*r**2 - 3/4*r**3 + 0 + 1/2*r**4 + 1/4*r**b = 0.
-2, -1, 0, 2
Suppose 128*o + 192*o**2 - 1867*o**3 + 2*o**5 + 3763*o**3 - 1792*o**3 + 24*o**4 = 0. Calculate o.
-4, -2, 0
Let v = -55 - -75. Suppose 30 - v = 5*i. Determine p so that 0 - 3*p**3 + 0*p**4 + 3/2*p**5 + 0*p**i + 3/2*p = 0.
-1, 0, 1
Let t(b) be the second derivative of b**6/300 + b**5/15 + 5*b**4/12 - b**2/2 - 10*b. Let i(m) be the first derivative of t(m). Let i(u) = 0. What is u?
-5, 0
Let w = -607 - -609. Let 2/3 - 1/2*i**w + 5/3*i**3 - 2*i - 1/2*i**4 = 0. What is i?
-1, 1/3, 2
What is g in -75*g**2 + 11*g**3 - 2*g - 3*g - 81 + 109 - 6*g**3 + 47 = 0?
-1, 1, 15
Let n(s) be the first derivative of s**4/20 + s**3/15 - 2*s**2/5 - 4*s/5 + 275. Find a, given that n(a) = 0.
-2, -1, 2
Let j(i) be the first derivative of -1 - 1/18*i**4 - 1/18*i**3 - 7*i + 1/3*i**2 + 1/60*i**5. Let h(v) be the first derivative of j(v). Let h(c) = 0. What is c?
-1, 1, 2
Let x(n) be the first derivative of 0*n**2 - 2/27*n**3 - 7 + 2/9*n. Factor x(q).
-2*(q - 1)*(q + 1)/9
Let v = -1 - -4. Suppose q - i + 7 = 4*q, -4*i - 6 = -5*q. Factor 0*k**v - q*k**4 + 0*k**3 + 5*k**4.
3*k**4
Suppose 2*a = -4*v + 62 - 38, -a = -4*v + 24. Let y(o) be the second derivative of 1/3*o**3 + 2*o**2 + 0 - v*o - 1/6*o**4. Factor y(p).
-2*(p - 2)*(p + 1)
Let j(k) be the first derivative of 33/4*k**4 - 41 - 6*k**3 + 0*k + 12*k**5 + 0*k**2 + 3/2*k**6. Suppose j(q) = 0. What is q?
-6, -1, 0, 1/3
Let v be ((-2)/3)/(4/(-54)). Determine o so that -1 + v - 343*o**2 + 351*o**2 + 20*o = 0.
-2, -1/2
Factor 120 + 3/2*s**2 - 63*s.
3*(s - 40)*(s - 2)/2
Let 0 + 0*b**2 + 0*b**3 + 0*b + 56/5*b**4 + 1/5*b**5 = 0. What is b?
-56, 0
Let s be ((-1)/(-18))/((-3)/(-9)). Let j = -89 - -89. Factor -1/6*k**5 + 1/3*k + 1/2*k**3 + 5/6*k**2 + j - s*k**4.
-k*(k - 2)*(k + 1)**3/6
Let f(k) be the first derivative of -k**3/5 - 6*k**2/5 - 12*k/5 - 95. Let f(y) = 0. Calculate y.
-2
Factor -2/7*x**2 + 13/7*x - 10/7 - 1/7*x**3.
-(x - 2)*(x - 1)*(x + 5)/7
Let y be 3/6*2*1. Let n be 2*(y/2 + 1). Let -2*u - 4*u**2 + 6*u + n*u**2 - u**4 + 4*u**3 - 5*u**2 - 1 = 0. What is u?
1
Find o, given that -45/2 + 1/2*o**3 + 5/2*o**2 - 41/2*o = 0.
-9, -1, 5
Let n(h) be the third derivative of 361*h**5/10 - 19*h**4/3 + 4*h**3/9 + 118*h**2. Factor n(b).
2*(57*b - 2)**2/3
Let b(a) = a**3 - 12*a**2 - a + 14. Let q be b(12). Suppose -q*h + 3*h = 3. Suppose -7*u**3 - u**4 + 5*u**3 - 3*u**5 + u**5 - h*u**4 = 0. What is u?
-1, 0
Let c(r) = 2*r**2 - 69*r + 38. Let i be c(34). Let b(m) be the third derivative of -1/3*m**3 + 0 - 1/6*m**i + 8*m**2 + 0*m - 1/30*m**5. Solve b(y) = 0.
-1
Factor -4/3*o + 0 + 8/3*o**4 - 12*o**3 + 16/3*o**5 + 22/3*o**2.
2*o*(o + 2)*(2*o - 1)**3/3
Suppose -9*s**2 + 3/7*s**3 + 324/7 - 27/7*s + 3/7*s**4 = 0. Calculate s.
-4, -3, 3
Let v(d) = 5*d**2 + 1555*d + 120115. Let b(i) = -5*i**2 - 1556*i - 120113. Let t(o) = -5*b(o) - 6*v(o). Factor t(x).
-5*(x + 155)**2
Find u, given that -72*u - 138 - 148 + 298 + 87*u**2 - 27*u**3 = 0.
2/9, 1, 2
Let m(x) = 3*x + 87. Let w be m(-29). Factor 0*s**3 + w*s + s**2 - 1/2*s**4 - 1/2.
-(s - 1)**2*(s + 1)**2/2
Let u(m) be the second derivative of 0 - 15*m + 0*m**3 + 1/165*m**6 + 0*m**2 + 1/110*m**5 - 1/33*m**4. Factor u(l).
2*l**2*(l - 1)*(l + 2)/11
Suppose -5*k = -4*y - 8, -3*k - y - 26 + 24 = 0. Let 0*j + 4/7*j**4 + k - 4/7*j**3 - 4/7*j**2 + 4/7*j**5 = 0. Calculate j.
-1, 0, 1
Let q(r) be the third derivative of r**6/300 - r**5/30 + r**4/15 - r**2 - 41. Determine s, given that q(s) = 0.
0, 1, 4
Let m(f) = 7*f**4 - 104*f**3 + 416*f**2 + 128*f. Let b(u) = -7*u**4 + 105*u**3 - 416*u**2 - 128*u. Let l(g) = -6*b(g) - 5*m(g). Factor l(x).
x*(x - 8)**2*(7*x + 2)
Suppose -5*m - 11 = 3*j - 23, -m - 1 = 4*j. Determine l, given that 0 - 1/6*l - 1/6*l**4 - 1/2*l**2 - 1/2*l**m = 0.
-1, 0
Let l(u) be the third derivative of 0*u -