 129 + j. Solve 3/5 + 0*h**b + 0*h - 6/5*h**2 + 3/5*h**4 = 0 for h.
-1, 1
Let n(y) be the first derivative of 30 - 8/5*y**5 + 0*y - 2/3*y**6 + 0*y**4 + 2*y**2 + 8/3*y**3. Solve n(c) = 0.
-1, 0, 1
Suppose 116*l - 30 = 44*l + 57*l. Determine h so that -5/2*h**l - 35/2 - 20*h = 0.
-7, -1
Let -11*u + 13*u + 12*u**2 + 3*u**3 + 13*u + 6 = 0. Calculate u.
-2, -1
Let t be 144/(-40) + (-2)/5. Let v = 16 + t. Let -2*b**4 - 2*b**3 + b**4 - 8 - 4*b - 3*b**4 + 6*b**3 + v*b**2 = 0. What is b?
-1, 1, 2
Suppose 0 = -h + v + v - 5, -4*v + 20 = 0. Suppose -h*p + 52 = -p. Factor 11*y**2 + 0*y**3 - p*y**2 - y**3.
-y**2*(y + 2)
Suppose 26*l - 34*l + 16 = 0. Let n = -11/10 - -8/5. Let -2 - n*f**2 + l*f = 0. What is f?
2
Suppose -9 = -6*x + 9*x. Let m be x/12*(-72)/14. What is o in m*o**3 - 3/7 + 15/7*o - 3*o**2 = 0?
1/3, 1
Let a(z) = 81*z - 3724. Let c be a(46). Factor -5/4 + 5/4*v**c + 0*v.
5*(v - 1)*(v + 1)/4
Let l(j) be the third derivative of j**8/672 - 11*j**7/420 + 43*j**6/240 - 73*j**5/120 + 7*j**4/6 - 4*j**3/3 + 139*j**2. What is z in l(z) = 0?
1, 4
Let y(s) be the third derivative of s**5/570 - 5*s**4/76 + 12*s**3/19 - 3*s**2 + 53*s. Find l such that y(l) = 0.
3, 12
Factor -4/11*f**2 + 0*f**3 - 2/11*f + 2/11*f**5 + 0 + 4/11*f**4.
2*f*(f - 1)*(f + 1)**3/11
Let d be -7 + 272/40 + (-53)/(-40). Solve -d + 3/8*q**2 - 3/4*q = 0 for q.
-1, 3
Suppose -6*m = -8*m. Suppose m = 3*i + 4 - 10. Factor i*p**2 + 12*p - 25*p + 11*p.
2*p*(p - 1)
Let o = 68 - 32. Determine m, given that 24*m**2 - 2*m**3 - o*m**2 + 5*m**3 + 9*m = 0.
0, 1, 3
Suppose 2*k = 6*k - 16. Suppose k*v + o + 3*o = -8, -v + 8 = -4*o. Factor -2*g**2 + g**3 + v*g + 2 + 0*g - g.
(g - 2)*(g - 1)*(g + 1)
Let b(x) be the third derivative of x**7/630 + x**6/90 - x**5/10 - 17*x**4/24 + 13*x**2. Let s(o) be the second derivative of b(o). Factor s(u).
4*(u - 1)*(u + 3)
Let g = 9 + -7. Suppose 0 = -6*q + g*q. Factor q*b**3 + 3*b**5 - 4*b**5 + 2*b**3 - b**3.
-b**3*(b - 1)*(b + 1)
Let r(f) = -3*f**2 + 21*f + 72. Let i(m) = 2*m**2 - 24*m - 71. Let u(l) = -6*i(l) - 5*r(l). Solve u(y) = 0 for y.
-11, -2
Let t(i) be the third derivative of 1/96*i**4 - 6*i**2 + 0*i - 1/840*i**7 + 1/240*i**5 - 1/480*i**6 + 0*i**3 + 0. Factor t(n).
-n*(n - 1)*(n + 1)**2/4
Let p = -59/16 + -5321/80. Let r = -69 - p. Find m, given that 0 + 8*m**4 - 4/5*m - r*m**2 + 24/5*m**3 = 0.
-1/2, 0, 2/5
Suppose 0 = n + 5, 8*n + 79 = 3*k + 3*n. Suppose 0*f + 5*f = 30. Factor k*c**3 - 28*c**3 + 4*c + f*c**2 + 12*c**3.
2*c*(c + 1)*(c + 2)
Let i(c) be the third derivative of c**7/1785 - c**6/68 + 11*c**5/85 - 29*c**4/51 + 24*c**3/17 - 27*c**2. Solve i(t) = 0.
2, 9
Let l(b) be the third derivative of -b**7/630 + b**6/120 + 7*b**5/90 - b**4/6 - 20*b**3/9 - 216*b**2. Find f such that l(f) = 0.
-2, 2, 5
Let g(n) be the third derivative of n**11/221760 + n**10/50400 + n**9/40320 + n**5/6 - 15*n**2. Let d(x) be the third derivative of g(x). Factor d(l).
3*l**3*(l + 1)**2/2
Suppose 0 = -13*z + 1063 - 62. Let r be z/(-22) + (2*-2)/(-1). Find w, given that -r*w**2 + 0 + 1/2*w**3 - w = 0.
-1, 0, 2
Let w(h) be the third derivative of h**6/40 + 3*h**5/10 + h**4 - 6*h**2 - 30. Let w(u) = 0. What is u?
-4, -2, 0
Let f be (-6)/(-4)*(3 + -5 - -14). Factor 4*v**4 + 6*v**2 - v**4 - f*v**2 + 9*v**3.
3*v**2*(v - 1)*(v + 4)
Let u(n) be the first derivative of n**4/16 - 2*n**3/3 + 17*n**2/8 - 5*n/2 - 58. Factor u(h).
(h - 5)*(h - 2)*(h - 1)/4
Suppose 0 = 2*j + 4*a + 14, 6*a = 4*a - 2. Let g be (-46)/(-130) + j/25*1. Determine o, given that 0 + 4/13*o + g*o**2 = 0.
-2, 0
Let t(m) be the third derivative of 0 + 1/45*m**5 + 7/72*m**4 + 0*m + 8*m**2 - 1/9*m**3. Factor t(s).
(s + 2)*(4*s - 1)/3
Suppose -3*m = 2*h - 9, 3*m = 3*h - 0 - 6. Find d, given that d + 5*d**2 - 3*d**h + 3*d - d + 6 - 11*d**2 = 0.
-2, -1, 1
Let -40*w - 4/5*w**2 - 500 = 0. What is w?
-25
Let a(w) be the third derivative of w**8/14 - 2*w**7/21 - 13*w**6/30 - 2*w**5/15 + 273*w**2. Let a(z) = 0. What is z?
-1, -1/6, 0, 2
Let w = 2 - -2. Let j(a) = -w*a - 3 - 3*a**2 + 0*a - a + 1. Let b(y) = y**2 + y + 1. Let o(x) = -2*b(x) - j(x). Factor o(c).
c*(c + 3)
Let m be (153/36)/17*0. Let d(r) be the second derivative of 9/2*r**2 - 11*r + m + 1/20*r**5 + 5/2*r**3 + 7/12*r**4. Factor d(w).
(w + 1)*(w + 3)**2
Let f(c) be the second derivative of 9*c**5/10 - 13*c**4 - 116*c**3/3 - 40*c**2 + 453*c. Factor f(y).
2*(y - 10)*(3*y + 2)**2
Let n be (44/22)/(11/9 - 1). Suppose n*r - 19 + 1 = 0. Find z, given that 3/2*z**r + 0 + 0*z = 0.
0
Let s(l) = l + 11. Let j be s(-5). Suppose -i - 4 = -j. Find h such that h - 5*h**2 - i*h**3 - 5*h**2 + 18 - 7*h = 0.
-3, 1
Let j(k) be the second derivative of -k**6/10 + 6*k**5/5 - k**4/2 - 16*k**3 - 63*k**2/2 - 360*k. Let j(s) = 0. Calculate s.
-1, 3, 7
Let q = -77 + 77. Let m = 50/203 - -26/29. Factor 0*c + 0*c**2 + q + m*c**4 + 2/7*c**5 + 8/7*c**3.
2*c**3*(c + 2)**2/7
Let i(p) be the second derivative of p**8/336 - p**7/90 + p**6/72 - p**5/180 - 3*p**2 - 12*p. Let z(d) be the first derivative of i(d). Let z(v) = 0. What is v?
0, 1/3, 1
Find b such that 0*b**2 + 0*b - 2/9*b**5 + 136/9*b**4 + 0 + 280/9*b**3 = 0.
-2, 0, 70
Solve -14/5 + 3*a - 1/5*a**2 = 0.
1, 14
Determine d so that 17/2*d**2 + 17/8*d**3 + 1/8*d**4 + 6 + 25/2*d = 0.
-12, -2, -1
Let v be ((-8)/(-48))/(459/2 + -3). Let i = 24449/17667 + v. Suppose -12/13*g - 2/13*g**2 - i = 0. Calculate g.
-3
Determine z, given that 113*z**4 - 30*z**2 - 56*z**4 + 3*z**3 - 231*z + 255*z - 54*z**4 = 0.
-4, 0, 1, 2
Let s(l) be the second derivative of 9*l + 0 + 0*l**2 + 11/42*l**4 + 2/21*l**3. Determine i, given that s(i) = 0.
-2/11, 0
Let a(t) be the second derivative of 7*t**4/12 + 2*t**3/3 - 3*t**2/2 - 28*t. Let g(f) = 8*f**2 + 4*f - 4. Let v(y) = 4*a(y) - 3*g(y). Factor v(i).
4*i*(i + 1)
Determine p, given that -2/5*p**4 + 0 + 14/5*p**2 - 8/5*p - 4/5*p**3 = 0.
-4, 0, 1
Let z be -200 - (-18 + -6)/6. Let k = z - -1373/7. Find w such that 6/7*w**3 + 2/7*w**2 - 5/7*w - 1/7*w**5 - 3/7 + k*w**4 = 0.
-1, 1, 3
Suppose -94*r - 3711 + 19*r + 12*r**2 + 4011 - 9*r**2 = 0. What is r?
5, 20
Let g(a) = 24 - 11*a - 2*a**2 + a**2 - 29. Let s be g(-10). Factor 4*r - 6 + 10*r**2 + r + 5*r**s + 1 - 5*r**4 - 10*r**3.
5*(r - 1)**3*(r + 1)**2
What is a in 0*a**2 + 59 + 3*a**2 + 28*a - a - 27 + 28 = 0?
-5, -4
Factor -56*i**2 + 24*i + 28*i - 423*i**3 + 427*i**3.
4*i*(i - 13)*(i - 1)
Suppose 0 = 3*f - g - 25, 0 = -2*f - 4*g + 12. Let r = 11 - f. Solve -4*b**4 - 3*b**3 + 7*b**r + 4*b**3 = 0.
0, 2
Factor 8/9 + 26/9*v**2 + 4/3*v**3 + 2/9*v**4 + 8/3*v.
2*(v + 1)**2*(v + 2)**2/9
Let s(j) be the second derivative of j**6/50 + 3*j**5/50 + j**4/20 + 21*j + 2. Determine k, given that s(k) = 0.
-1, 0
Let v(p) be the second derivative of -p**5/300 + p**4/120 + p**3/15 + 7*p**2/2 + 15*p. Let s(y) be the first derivative of v(y). Factor s(o).
-(o - 2)*(o + 1)/5
Let g = -114 + 112. Let a be ((-15)/30)/(g/20). Factor -2/3*t**4 + 0*t**2 + 2/3*t**a + 0 + 0*t - 4/3*t**3.
2*t**3*(t - 2)*(t + 1)/3
Let x(h) be the first derivative of h**3/3 + 2*h**2 + 2*h - 6. Let r be x(-4). Solve -2*w**3 + 2*w**5 + w**4 + w + 2*w**5 - r*w**2 - 3*w**5 + 1 = 0 for w.
-1, 1
Suppose 0 = -4*p - 5*a + 66 + 69, 145 = 4*p + 3*a. Factor 12*d**3 + 12 + 6*d + 51*d**2 + 14*d + p*d.
3*(d + 2)**2*(4*d + 1)
Let u = 625/5784 - 16/241. Let y(t) be the third derivative of -10*t**2 + 0*t**3 + 0 + 0*t - 1/6*t**5 + u*t**6 - 5/8*t**4. Solve y(k) = 0 for k.
-1, 0, 3
Find y, given that -2*y**2 - 5696*y + 5661*y - 3*y**2 = 0.
-7, 0
Let a(i) = -3*i**3 + 27*i**2 - 19*i - 27. Let b(g) = -2*g**3 + 14*g**2 - 10*g - 14. Let t(d) = -6*a(d) + 11*b(d). Solve t(m) = 0 for m.
-2, -1, 1
Let t(m) = 11*m**2 - 2. Let h be t(-1). Let s be (6*4/40)/(h/6). Factor -6/5*b**2 - 6/5*b - 2/5*b**3 - s.
-2*(b + 1)**3/5
Let f = 100341/7 + -14334. Let c be (-1 - (-3)/3)*-1. Factor c - o**3 - 2/7*o**4 + 0*o - f*o**2.
-o**2*(o + 3)*(2*o + 1)/7
Let f be ((-553)/280 + 2)/((-3)/(-4)). Let b(d) be the first derivative of 0*d - f*d**4 - 2 + 4/45*d**3 - 1/15*d**2. Let b(r) = 0. Calculate r.
0, 1
Let s be ((-18)/4)/((-10)/20). Suppose 2*m**3 - 2*m**3 - s*m - 15*m**2 - 4*m**3 - 3*m**4 - 7*m**3 - 2 = 0. What is m?
-1, -2/3
Let b = 30 - 30. Let p(t) be the first derivative of -8/5*t + 2/5*t**3 + b*t**2 + 1/10*t**4 - 3. Factor p(o).
2*(o - 1)*(o + 2)**2/5
Suppose 15*