6*b(w) + l(w). Let i(m) = 0. What is m?
2/7, 1, 14
Let o be (2/(-7))/((-3)/42) - -1. Let m(k) be the third derivative of 0 + 0*k + 1/72*k**4 - 1/180*k**o + 5*k**2 + 0*k**3. Solve m(r) = 0 for r.
0, 1
Let u(x) be the second derivative of x**6/216 + x**5/18 + 5*x**4/18 - 7*x**3/3 - 17*x. Let q(n) be the second derivative of u(n). Find p, given that q(p) = 0.
-2
Let o(k) = -3*k**2 + 24*k + 42. Let q(f) = -2*f**2 + 12*f + 22. Let b(m) = -5*o(m) + 9*q(m). Factor b(s).
-3*(s + 2)**2
Let d(o) = -5*o**4 + 85*o**3 - 65*o**2 - 85*o + 85. Let g(p) = -5*p**4 + 86*p**3 - 64*p**2 - 86*p + 87. Let r(k) = 6*d(k) - 5*g(k). Factor r(m).
-5*(m - 15)*(m - 1)**2*(m + 1)
Let x(z) = -z**3 + 8*z**2 + 22*z - 10. Let n be x(10). Let t be (-14)/(42/(-9) - n/(-15)). Factor 8*k**3 + 11/2*k**2 + k + 0 + t*k**4.
k*(k + 1)**2*(7*k + 2)/2
Let k = 54 - 44. Suppose -i + k = 7. Factor 1/2*w**5 - w**4 + 0*w**2 + 0*w + 0 + 1/2*w**i.
w**3*(w - 1)**2/2
Let n(g) = -5*g + 8. Let q be n(1). Solve -17*y - 28*y - 192 + 3*y**4 + 189*y**2 + 48*y**q - 3*y = 0.
-8, -1, 1
Let b be 4/6 + 3068/78. Factor 8*n**3 + 16*n - 15*n**2 - 8*n + 4*n**4 - n**2 - b*n.
4*n*(n - 2)*(n + 2)**2
Suppose -3*v - 5*l + 13 = -2*v, 3*v + 4*l - 17 = 0. Let k be 128/20 + (-20)/50. Let 2 - 10*m**3 - 3 + 6*m**v - k*m - m**4 + 2*m - 6*m**2 = 0. Calculate m.
-1
Let r(b) be the third derivative of 0*b**6 + 12*b**2 + 0*b**3 - 1/224*b**8 + 0*b - 1/20*b**5 + 1/16*b**4 + 1/70*b**7 + 0. Factor r(m).
-3*m*(m - 1)**3*(m + 1)/2
Suppose 21 = 4*c + 5. Determine f so that -12*f**3 + 12*f**5 - 5*f**2 + 0*f**2 + f**2 + c*f**4 = 0.
-1, -1/3, 0, 1
Let p be ((-12)/(-9))/((-4)/42). Let g = -11 - p. Factor 11*b**g + 3*b**3 - 13*b**3 + 3*b**2.
b**2*(b + 3)
Let j be (4 - 3/36) + 4/(-16) - 2. Factor -10/3*b + 5/3*b**2 + j.
5*(b - 1)**2/3
Let o(k) be the first derivative of k**7/42 + k**6/8 + k**5/12 - 50*k**3/3 + 45. Let r(a) be the third derivative of o(a). Factor r(y).
5*y*(y + 2)*(4*y + 1)
Suppose -q + w + 2 = -3, 0 = -q - w - 1. Let x(g) be the first derivative of 8*g**3 + 3*g**2 + q - 5*g**3 - 2*g**3. Solve x(r) = 0.
-2, 0
Let s(u) be the first derivative of -2*u**5/25 + 7*u**4/10 + 154. Factor s(j).
-2*j**3*(j - 7)/5
Let s(b) be the second derivative of -b**6/120 - b**5/10 - 7*b**4/48 + 3*b - 30. What is p in s(p) = 0?
-7, -1, 0
Determine b so that -981*b + b**3 - 21 + 2*b**2 + 1012*b - 13*b**2 = 0.
1, 3, 7
Let l(c) = 6*c**3 - 5*c**2 - 7*c - 1. Let x(q) = -7*q**3 + 6*q**2 + 7*q. Suppose 5*p + 28 = 53. Let k(h) = p*x(h) + 6*l(h). Factor k(t).
(t - 3)*(t + 1)*(t + 2)
Let q(d) be the first derivative of 5*d**3/3 + 60*d**2 + 220*d + 174. What is m in q(m) = 0?
-22, -2
Let b(y) be the first derivative of -20 - 10*y**2 + 24*y - 4/3*y**3. Factor b(d).
-4*(d - 1)*(d + 6)
Suppose -4/7*b**2 - 1/7*b**3 + 6/7 - 1/7*b = 0. What is b?
-3, -2, 1
Suppose -4*h + 22 = 14. Let z = 284 - 1985/7. Suppose -6/7 - z*n**h - 9/7*n = 0. What is n?
-2, -1
Let w(g) = -5*g**4 - 21*g**3 - 4*g**2. Let m(v) = -15*v**4 - 62*v**3 - 13*v**2. Let o(l) = -6*m(l) + 17*w(l). Factor o(j).
5*j**2*(j + 1)*(j + 2)
Let h(b) be the second derivative of -1/5*b**5 - 2*b**2 + 1/3*b**4 + 15*b + 0 + 2/3*b**3. Suppose h(n) = 0. Calculate n.
-1, 1
Let s be (8/180*5)/((-84)/(-54)). Solve -s*z**2 - z - 10/7 = 0.
-5, -2
Let u(c) be the first derivative of c**5/30 - 7*c**4/24 + c**3/2 + 9*c**2/4 - 9*c - 34. Let u(x) = 0. What is x?
-2, 3
Let p(g) be the third derivative of -g**5/420 - 5*g**4/168 + g**3/3 - g**2 - 5*g. Solve p(x) = 0 for x.
-7, 2
Let c be -7 + 10/(180/177) + (-6)/4. Determine j, given that 2/3*j**4 + 0 + c*j**3 - 4/3*j - 2/3*j**2 = 0.
-2, -1, 0, 1
Suppose -5*g - 2*o = -176, 28 = 3*g - 2*o - 68. Let v be 2/10 - 224/(-80). Factor s**2 - g + 34 - s**v.
-s**2*(s - 1)
Factor 60*s - 720 - 5/4*s**2.
-5*(s - 24)**2/4
Let k(f) = 17*f**3 - 192*f**2 - 77*f + 128. Let j(v) = -86*v**3 + 961*v**2 + 386*v - 639. Let b(a) = 2*j(a) + 11*k(a). Factor b(i).
5*(i - 13)*(i + 1)*(3*i - 2)
Suppose -194 = 3*b - 59. Let z be (-18)/12*24/b. Factor z*y + 0*y**2 + 2/5*y**4 - 2/5 - 4/5*y**3.
2*(y - 1)**3*(y + 1)/5
Let n = 7518 - 7518. Let -2/21*k**5 + 4/21*k**4 + 2/7*k**3 + n*k + 0 + 0*k**2 = 0. What is k?
-1, 0, 3
Let w(h) = h**2 - 6. Let a be w(3). Factor -3*p**3 - 5*p**2 - 2*p**a + 14*p**4 - 9*p**4 + 5*p.
5*p*(p - 1)**2*(p + 1)
Let d(j) = -41*j**4 + 151*j**3 - 62*j**2 + 9*j - 3. Let a(r) = -83*r**4 + 302*r**3 - 123*r**2 + 17*r - 5. Let q(g) = -3*a(g) + 5*d(g). What is m in q(m) = 0?
0, 2/11, 1/4, 3
Factor 2*y**5 + 34*y**2 - 3*y**5 + 36*y**2 + y**3 - 70*y**2.
-y**3*(y - 1)*(y + 1)
Let q = -15 - -17. Factor -5*d**2 - d - 5*d**3 + d**4 + 0*d**3 - q*d + 4*d**3.
d*(d - 3)*(d + 1)**2
What is b in -b**2 + 25*b**3 - 40*b + 270 - 146*b - 5*b**4 + 18*b**2 - 2*b**2 - 39*b = 0?
-3, 2, 3
Let z(b) be the first derivative of 1/30*b**5 - 31 + 5/12*b**4 - 5/6*b**2 - 2/3*b**3 + 11/6*b. Suppose z(s) = 0. Calculate s.
-11, -1, 1
Let p = -739 - -2221/3. Solve 1/3*s**3 + p + 8/3*s + 5/3*s**2 = 0 for s.
-2, -1
Suppose -45 = 3*x + 3*w - 9, 2*x = 4*w - 12. Let p = x + 15. Factor 0*t + 0 - 1/5*t**2 + 3/5*t**3 - 3/5*t**4 + 1/5*t**p.
t**2*(t - 1)**3/5
Let z(q) be the third derivative of 9*q**7/175 + 3*q**6/4 - 251*q**5/50 + 141*q**4/20 - 22*q**3/5 + 5*q**2 - 12*q. Solve z(n) = 0.
-11, 1/3, 2
Let x = -76 + 78. Factor 14*z**x - 3*z**2 - z**3 + 0*z**2 - 10*z**2.
-z**2*(z - 1)
Let s be 13/(-9) - (-30 + 20)*4/24. Factor 10/9 + 8/9*d - s*d**2.
-2*(d - 5)*(d + 1)/9
Factor 10/3*j**2 - 1/3*j**3 + 56/3 + 52/3*j.
-(j - 14)*(j + 2)**2/3
Solve 42 - 186 + 588*p**2 + 498*p**2 + 172*p**4 + 16*p**5 + 785*p**3 - 154*p**2 + 300*p - 141*p**3 = 0.
-4, -3, -1, 1/4
Suppose -4*j + 3*j + 4 = 0. Factor 2*g**j + 6*g**3 + 5*g**4 + 0*g**3 + 3*g**2 - 4*g**4.
3*g**2*(g + 1)**2
Let a(m) = -5*m**5 - 10*m**4 - 27*m**3 - 17*m**2 - 4*m + 3. Let q(h) = -9*h**5 - 21*h**4 - 53*h**3 - 34*h**2 - 8*h + 5. Let k(n) = 5*a(n) - 3*q(n). Factor k(c).
c*(c + 1)**2*(c + 4)*(2*c + 1)
Let c(z) be the first derivative of z**8/560 + z**7/140 - z**6/15 - 9*z**5/20 - 9*z**4/8 + 2*z**3/3 + 2. Let o(n) be the third derivative of c(n). Factor o(b).
3*(b - 3)*(b + 1)**2*(b + 3)
Suppose 5*u - 9 = 1. Suppose 0 = -3*j - u*y + 9, -2*j + 0*y = -2*y - 6. Factor -1/2*i**j - 1/2*i + 0 - i**2.
-i*(i + 1)**2/2
Let g = -57 - -57. Suppose 0 = -g*k + 3*k + k. Factor 0 + 0*q**3 + 0*q**2 + 1/3*q**4 + 1/6*q**5 + k*q.
q**4*(q + 2)/6
Let w = 2/19675 + 173138/19675. Factor w*x - 4 + 4/5*x**3 - 28/5*x**2.
4*(x - 5)*(x - 1)**2/5
Let k(w) be the first derivative of 9*w**6/7 + 108*w**5/35 - 45*w**4/14 - 232*w**3/21 + 16*w**2/7 + 128*w/7 - 23. Let k(y) = 0. Calculate y.
-4/3, 1
Let v(d) = -d**2 - 6*d - 2. Let f be v(-4). Suppose -f*o = o - 11*o. Suppose -3/2*h + o - 3/4*h**2 = 0. Calculate h.
-2, 0
Suppose v - 4*l = -11, -3 = 4*v - l - 19. Factor -4*z + 0 + 1/4*z**v - 2*z**4 + 15/4*z**3 + 2*z**2.
z*(z - 4)**2*(z - 1)*(z + 1)/4
Let l = 36859/6 + -12285/2. Find b, given that l*b**3 - 32/3 - 6*b**2 + 16*b = 0.
1, 4
Determine y, given that 1/10*y**3 + 7/10*y**2 + 0 - 9/5*y = 0.
-9, 0, 2
Solve -61*w**2 + 11*w**2 - 62*w - 64 + 18*w**2 + 18*w**2 + 16*w**2 = 0 for w.
-1, 32
Factor -2/5*y**4 - 2/5*y**3 + 8/5*y + 0 + 8/5*y**2.
-2*y*(y - 2)*(y + 1)*(y + 2)/5
Let y(m) be the second derivative of 1/25*m**5 + 0 - 4/5*m**2 + 28*m - 2/5*m**3 + 0*m**4. Determine k, given that y(k) = 0.
-1, 2
Let v(r) be the third derivative of -1/20*r**5 + 3*r**3 + 3*r**2 + 0 + 1/8*r**4 + 0*r. Let v(o) = 0. What is o?
-2, 3
Let r = -24598/5 - -4832. Let p = 88 + r. Factor 1/5*z**5 - 2/5*z**4 + 0 - 1/5*z + p*z**2 + 0*z**3.
z*(z - 1)**3*(z + 1)/5
Let p = -418/5 - -841/10. Suppose 1/4*q**2 + 0 + p*q = 0. Calculate q.
-2, 0
Let u(t) be the third derivative of t**7/2100 - t**6/900 - 11*t**3/6 - 13*t**2. Let h(g) be the first derivative of u(g). Factor h(v).
2*v**2*(v - 1)/5
Let d = 708 + -705. Let v(k) be the second derivative of 0*k**d + 0*k**2 - 2*k + 0 + 2/3*k**4 + 1/15*k**6 - 2/5*k**5. Let v(s) = 0. What is s?
0, 2
Let a(w) be the second derivative of -w**5/15 + 4*w**4/9 + 56*w**3/9 + 64*w**2/3 + w - 50. Factor a(q).
-4*(q - 8)*(q + 2)**2/3
Let s(z) be the first derivative of 10*z**5 + 26*z**4 + 8*z**3/3 + 56. What is b in s(b) = 0?
-2, -2/25, 0
Let p(v) = -20*v**2 + 2*v - 2. Let u be p(1). Let l be 76/60 - (-12)/u. Factor 2/3*g + 1/6*g**2 +