5*b + 28*b - 9 - b - 3*b**o = 0. Calculate b.
1, 3
Let s(c) be the third derivative of c**6/900 - c**4/60 - 5*c**3/2 + 17*c**2. Let v(p) be the first derivative of s(p). Factor v(u).
2*(u - 1)*(u + 1)/5
Suppose 3*w + 5*u = 1710 + 193, 3 = -3*u. Let -w*q**2 + 581*q**2 - 5*q - 5*q = 0. Calculate q.
-2/11, 0
Let u(m) be the second derivative of m**4/6 + 5*m**3/3 + 6*m**2 - 526*m. Factor u(l).
2*(l + 2)*(l + 3)
Let o(f) be the third derivative of f**7/150 - 23*f**6/600 - 11*f**5/150 + 23*f**4/30 - 4*f**3/5 + 249*f**2. Find h such that o(h) = 0.
-2, 2/7, 2, 3
Let d(f) be the third derivative of -f**5/390 - 5*f**4/78 + 11*f**3/39 + 6*f**2 - 3. Factor d(l).
-2*(l - 1)*(l + 11)/13
Let p(r) be the third derivative of -5*r**8/336 + 2*r**7/21 + r**6/12 - r**5 - 15*r**4/8 + 458*r**2. Solve p(m) = 0.
-1, 0, 3
Let t = 52 + -50. Suppose -2*c + 4 = t, 3*x - 12 = -3*c. Factor 4/3*n**5 + 0*n**x + 2/3*n**2 + 0*n - 2*n**4 + 0.
2*n**2*(n - 1)**2*(2*n + 1)/3
Let b be (4/(-8))/(6/(-4) + 1). Factor b + 2*x**3 + 18*x**3 + 5*x - 20*x**2 - 1.
5*x*(2*x - 1)**2
Let b(d) = 2*d**2 - 10*d - 3. Let m be b(9). Let t be (-2)/3*(2 - m/21). Let -2/7*n**3 - 2/7 - t*n**2 - 6/7*n = 0. What is n?
-1
Let d(p) be the second derivative of 13/42*p**3 + 0 - 11/42*p**4 - 3/14*p**2 + 9/70*p**5 + 1/294*p**7 - 1/30*p**6 + 2*p. Determine t, given that d(t) = 0.
1, 3
Let k be (22/(-4)*84/154)/((-54)/4). Find q such that k*q**2 - 4/3 + 2/9*q = 0.
-3, 2
Let n be (-32)/(-12) - 2 - 469/(-201). Factor 2/25 + 0*s - 8/25*s**5 - 4/5*s**2 - 8/5*s**n - 6/5*s**4.
-2*(s + 1)**4*(4*s - 1)/25
Let k(i) be the second derivative of i**7/42 + i**6/10 + i**5/20 - i**4/4 - i**3/3 + 82*i. Factor k(q).
q*(q - 1)*(q + 1)**2*(q + 2)
Let a be (-16)/48*15*(2 + -3). Let u(w) be the third derivative of 0*w**3 + 1/20*w**a + 6*w**2 + 0*w**4 + 0*w + 0. Find j, given that u(j) = 0.
0
Let k = -709/16 - -769/16. Factor 0 + k*a**3 + 3/4*a**2 + 0*a + 3*a**4.
3*a**2*(a + 1)*(4*a + 1)/4
Let b(w) be the second derivative of -w**5/40 + 61*w**4/12 + w**3/12 - 61*w**2/2 + 10*w - 19. Find x such that b(x) = 0.
-1, 1, 122
Suppose -60 = -6*k - 0*k. Suppose 0 = k*b - 27 + 7. Suppose 81/7*r + 75*r**3 - 6/7 - 360/7*r**b = 0. What is r?
1/5, 2/7
Let p(s) be the third derivative of 0*s + 0*s**3 - 12 + 1/1050*s**7 + 1/600*s**6 - 1/300*s**5 - s**2 - 1/120*s**4. Find m such that p(m) = 0.
-1, 0, 1
Factor -6/7*n**2 + 2/7*n**3 + 2/7*n**4 - 10/7*n - 4/7.
2*(n - 2)*(n + 1)**3/7
Let i(x) be the second derivative of x**5/5 - 2*x**4/3 + 2*x**3/3 + 4*x**2 - 4*x. Let l(h) be the first derivative of i(h). Factor l(r).
4*(r - 1)*(3*r - 1)
Let t(j) be the first derivative of -2*j**5/55 - 9*j**4/11 - 80*j**3/11 - 350*j**2/11 - 750*j/11 - 560. Let t(g) = 0. Calculate g.
-5, -3
Let a(d) be the first derivative of 2*d**5/5 + 3*d**4/2 + 2*d**3/3 - 3*d**2 - 4*d - 96. Factor a(j).
2*(j - 1)*(j + 1)**2*(j + 2)
Let f(m) be the first derivative of -m**7/70 - m**6/40 + m**5/4 - 3*m**4/8 + 3*m**2/2 - 12. Let t(d) be the second derivative of f(d). Factor t(k).
-3*k*(k - 1)**2*(k + 3)
Let s(z) = -3*z - 27. Let h(d) = 2*d + 2. Let w(r) = -6*h(r) + s(r). Let f be w(-3). Factor 3/2*j**3 + 3/2 - 3/2*j**4 + f*j**2 + 21/4*j - 3/4*j**5.
-3*(j - 2)*(j + 1)**4/4
Suppose 95*z - 492 = -28*z. Let o(m) be the first derivative of -4/15*m**3 + 3/5*m**z + 2/15*m**6 - 12/25*m**5 - 9 + 0*m + 0*m**2. Factor o(c).
4*c**2*(c - 1)**3/5
Suppose 25*z = -12*z + 74. What is d in 3/4*d + 0 + 1/4*d**z = 0?
-3, 0
Let f be (6/4)/((-3)/(-4)). Suppose -5*q + 9 = -2*j, 4*j = -86*q + 90*q. Determine p so that -18/5*p**f - 33/5*p**4 + 3/5*p - 9/5*p**5 + 3/5 - 42/5*p**q = 0.
-1, 1/3
Determine f so that 1/5*f + 1/5*f**2 + 0 - 1/5*f**4 - 1/5*f**3 = 0.
-1, 0, 1
Let x(d) = -d - 1. Let j(s) = 6*s + 5. Let z(q) = j(q) + 5*x(q). Let n be z(2). Factor -30*u**n + 18*u + 3*u**5 - 7*u + 4*u + 30*u**3 - 15*u**4 - 3.
3*(u - 1)**5
Let l(q) be the third derivative of q**7/300 - q**6/180 - 4*q**5/75 - q**4/15 - 3*q**3 + 18*q**2. Let n(x) be the first derivative of l(x). Factor n(r).
2*(r - 2)*(r + 1)*(7*r + 2)/5
Suppose -g + 5*g - 8 = 4*n, -5*g + n + 2 = 0. Factor -5*r**2 - r - 16*r - 20 + g*r - 8*r.
-5*(r + 1)*(r + 4)
Let c = 83 - 50. Let v be 22/c*10/4. Let v*x**4 + 1/3*x**2 + 4*x**5 - 2*x**3 + 0*x + 0 = 0. What is x?
-1, 0, 1/4, 1/3
Determine z, given that -13*z - 42 + 30*z**2 - 32*z**2 - 7*z = 0.
-7, -3
Let n(c) be the third derivative of c**8/168 + 11*c**7/105 + 31*c**6/60 - 19*c**5/30 - 26*c**4/3 + 80*c**3/3 - 3*c**2 - 47. Suppose n(z) = 0. Calculate z.
-5, -4, 1
Let r be (-1)/60 + 20/(-50). Let s = r - -7/6. Factor 0 + s*q**3 - 3/4*q**2 - 1/4*q**4 + 1/4*q.
-q*(q - 1)**3/4
Suppose 3*m + 5*p - 20 = 0, m - 6*m - p + 4 = 0. Factor -148*d**2 - d**4 + 148*d**2 + 3*d**5 + m*d**5.
d**4*(3*d - 1)
Factor -w**2 + 384 - 2*w**3 + 11*w**2 - 7*w**2 + 3*w**2 + 160*w + 2*w**2.
-2*(w - 12)*(w + 4)**2
Let w be 23226/(-7840) - (-2 + -1). Let l(d) be the second derivative of -w*d**5 + 8*d + 0 + 0*d**2 - 1/4*d**3 - 3/16*d**4. Factor l(n).
-3*n*(n + 1)*(n + 2)/4
Let v(b) be the first derivative of 3*b**3 + 3*b**2 - 6*b + 7. Let c(m) = 8*m**2 + 6*m - 5. Let w(r) = 6*c(r) - 5*v(r). Factor w(j).
3*j*(j + 2)
Let m = 4 - -25. Let g(j) = -j**3 + 5*j**2 - j + 7. Let f be g(5). Solve -5*d**2 + 0*d**2 + d**f - 7 - 24*d - m = 0 for d.
-3
Suppose -498 = -29*l - 353. Let b(v) be the third derivative of 0*v**4 + 1/480*v**5 - 1/48*v**3 + 0 + 0*v + l*v**2. Solve b(j) = 0 for j.
-1, 1
Factor -288*r**2 - 1296 + 578*r**2 - 291*r**2 + 72*r.
-(r - 36)**2
Factor 64/5*v**2 + 16/5*v - 36/5*v**3 + 0.
-4*v*(v - 2)*(9*v + 2)/5
Let g(q) be the second derivative of -q**4/4 + 66*q**3 - 6534*q**2 - 610*q. Suppose g(u) = 0. Calculate u.
66
Let j be (-2 - (-30)/24)/((-885)/280 - -3). Factor 4/3*q + 8/3*q**3 - 2/3 + j*q**2.
2*(q + 1)**2*(4*q - 1)/3
Let z = -24 - -30. Let q(r) be the third derivative of 0*r + 0 - 9/40*r**4 - 3/200*r**z + 1/5*r**3 + 4*r**2 + 1/10*r**5. Find u such that q(u) = 0.
1/3, 1, 2
Let b(i) be the first derivative of i**3/12 + 7*i**2/2 + 27*i/4 - 84. Suppose b(d) = 0. Calculate d.
-27, -1
Let g(k) be the first derivative of k**6/1980 + k**5/330 - 2*k**3/3 + 12. Let s(w) be the third derivative of g(w). Factor s(c).
2*c*(c + 2)/11
Let v(b) be the second derivative of -8/3*b**2 + 0 - 1/6*b**5 + 1/3*b**4 + 1/45*b**6 + 21*b + 4/9*b**3. Solve v(j) = 0 for j.
-1, 2
Solve -36*u - 648 - 1/2*u**2 = 0.
-36
Let g = 175 - 175. Let d(f) be the second derivative of g - 1/18*f**6 + 0*f**2 - 1/5*f**5 - 1/4*f**4 - f - 1/9*f**3. Determine z so that d(z) = 0.
-1, -2/5, 0
Let h be ((-9)/(-5))/((-366)/(-610)). Factor 0 + 0*w + 4/3*w**2 + 2/3*w**h.
2*w**2*(w + 2)/3
Factor 0 + 2/9*q**2 - 20/9*q.
2*q*(q - 10)/9
Let s(x) be the third derivative of x**5/390 + x**4/156 + x**2 - 123*x. Find d such that s(d) = 0.
-1, 0
Suppose 15*q - 11*q**3 - 2*q**3 + 18 + 10*q**3 + 6*q = 0. Calculate q.
-2, -1, 3
Factor 0*b**2 + 0*b - 32/21*b**4 - 34/21*b**3 + 0 + 2/21*b**5.
2*b**3*(b - 17)*(b + 1)/21
Let j be (4/(-6))/(-4*3/54). Find n, given that 2*n**2 - 4*n**j + 6*n**2 - 8*n**4 + 24*n + 4*n**5 - 24*n = 0.
-1, 0, 1, 2
Determine s, given that -396/5*s + 13068/5 + 3/5*s**2 = 0.
66
Let u(h) = 12*h + 66*h**2 + 36*h**2 - 26*h**2 - 32. Let w(d) = -7*d**2 - d + 3. Let f(r) = -3*u(r) - 32*w(r). Factor f(g).
-4*g*(g + 1)
Suppose -5*u**2 + 18 + 22*u**2 - 11*u**2 + 23*u - 7*u**2 + 60 = 0. Calculate u.
-3, 26
Suppose -48*r + 267 = 123. Let y(w) be the second derivative of 0*w**2 + 0 + 1/45*w**6 - 2/9*w**4 - 5/21*w**7 + 2/5*w**5 + 0*w**r - 2*w. Solve y(v) = 0 for v.
-1, 0, 2/5, 2/3
Let o = -6 - -9. Suppose 2*c = -8*c + 20. Factor -2*b + 0*b**2 - o*b**2 + 0*b + b**c.
-2*b*(b + 1)
Let y(h) be the second derivative of 7*h**8/7680 - h**7/960 - h**6/240 - h**5/240 + h**4 + 3*h. Let n(g) be the third derivative of y(g). Factor n(z).
(z - 1)*(7*z + 2)**2/8
Let s be 8/6*117/546. Let 0 - 2/7*b**2 - s*b**4 + 0*b + 4/7*b**3 = 0. Calculate b.
0, 1
Let u = 1/18 + 4/9. Let s(t) = t**2 - 21*t - 946. Let h be s(43). Find a such that -u*a**3 + h*a - 3/2*a**5 + 0*a**2 + 2*a**4 + 0 = 0.
0, 1/3, 1
Suppose 11*h = -h. Let b(a) be the second derivative of -1/10*a**2 + 1/60*a**4 + 0 + 6*a + h*a**3. Factor b(g).
(g - 1)*(g + 1)/5
Suppose 0 = 46*w - 43*w + 2*y - 8, 0 = 6*w + 3*y - 12. Solve w - 4/5*f - 2/5*f**2 = 0 for f.
