*4 + 1/5*v**6 + 0*v. Let a(r) = 0. Calculate r.
1, 2
Suppose 4*u = -b - 1 + 14, 0 = 2*b - 10. Let 0*s + 2/7*s**3 + 6/7*s**u + 0 = 0. Calculate s.
-3, 0
Solve 0 + 0*b - 138/7*b**3 - 3/7*b**4 - 1587/7*b**2 = 0.
-23, 0
Factor -16/3 + 500/9*f**2 + 80/9*f - 1000/9*f**3.
-4*(5*f - 2)**2*(10*f + 3)/9
Suppose 90*b = 123*b - 66. Find h such that -31*h**3 - 19*h**4 - 1 - 9/2*h**5 - 17/2*h - 24*h**b = 0.
-1, -2/9
Find s, given that 3/7*s**4 + 6/7*s - 6/7*s**3 + 0*s**2 - 3/7 = 0.
-1, 1
Let g = 619 - 9903/16. Let l(u) be the second derivative of -4*u + 0 + 27/8*u**2 + g*u**4 + 3/4*u**3. Solve l(k) = 0 for k.
-3
Suppose v + 0*v = s + 8, -32 = -4*v - 2*s. Suppose h + 3 = 2*h + 3*b, 2*h = b + 6. Find z, given that -28*z**2 + 3*z**3 + v*z**2 + 6*z + h*z**3 = 0.
0, 1/3, 3
Let t(h) = h**3 - h**2 - 8*h + 8. Let d be t(1). Let r(u) be the second derivative of 1/9*u**6 + 1/18*u**4 + d - 4/15*u**5 - u + 2/9*u**3 + 0*u**2. Factor r(f).
2*f*(f - 1)**2*(5*f + 2)/3
Let n(o) = -4*o**2 - 44*o + 19. Let l be n(-13). Let j = l - -87. Factor -3/2*x**j + 2*x + 2.
-(x - 2)*(3*x + 2)/2
Suppose 3*x - 6 = 3. Let s(w) = -w**2 - 21*w - 35. Let c be s(-19). Factor -6*y + y**3 + y + 2*y**x + 2*y**c.
5*y*(y - 1)*(y + 1)
Let o(n) be the first derivative of -2*n**3/3 + 57*n**2 - 12. Factor o(b).
-2*b*(b - 57)
Let f(a) be the second derivative of -13*a**5/4 - 20*a**4/3 + 115*a**3/6 + 15*a**2 - 56*a. Factor f(r).
-5*(r - 1)*(r + 2)*(13*r + 3)
Let w(v) be the second derivative of v**7/105 - 2*v**6/25 + 6*v**5/25 - 4*v**4/15 - 164*v - 1. Determine q, given that w(q) = 0.
0, 2
Let m be (-4)/(-7 - -3) + 15/(-21). Let p(j) be the first derivative of -5 + 1/14*j**4 + 2/7*j**3 + m*j**2 + 0*j. Factor p(x).
2*x*(x + 1)*(x + 2)/7
Suppose -5*g = -3*z + 21, -z + 10*g - 6*g + 14 = 0. Factor -18 - 8*k - 16*k**3 + 20*k**z + 4*k**4 + 18.
4*k*(k - 2)*(k - 1)**2
Let k = 3/602 - -450/301. Factor -k*c**2 - 3/2*c**3 + 3/2*c**5 + 3/2*c**4 + 0 + 0*c.
3*c**2*(c - 1)*(c + 1)**2/2
Find r such that -12*r + 2/9*r**2 + 162 = 0.
27
Let i(q) be the first derivative of -q**4/8 - q**3/2 - q**2/2 + 143. Factor i(p).
-p*(p + 1)*(p + 2)/2
Let r = 7 + 1. Factor 8*n + n**2 + 0 + 3*n**2 - 2 - r*n**3 - 2.
-4*(n - 1)*(n + 1)*(2*n - 1)
Let r(c) = -2*c**3 - 214*c**2 + 384*c + 184. Let b(w) = 6*w**3 + 428*w**2 - 766*w - 368. Let z(h) = 4*b(h) + 7*r(h). Factor z(y).
2*(y - 2)*(y + 23)*(5*y + 2)
Let g(u) be the third derivative of 1/20*u**5 - 3/8*u**4 + 0*u**3 + 0 - 4*u**2 + 0*u. Factor g(i).
3*i*(i - 3)
Let f(o) be the first derivative of 2/21*o**3 + 0*o - 9/7*o**2 - 33. Determine m, given that f(m) = 0.
0, 9
Let f = 109 - 1633/15. Let x(m) be the second derivative of 5*m + 1/3*m**4 + 0*m**2 + 1/21*m**7 + 0 - f*m**6 + 0*m**5 - 1/3*m**3. Factor x(z).
2*z*(z - 1)**3*(z + 1)
Factor 3*t**3 + 22*t - 6 - 13*t**3 - 11*t + 11*t**3 - 6*t**2.
(t - 3)*(t - 2)*(t - 1)
Let z(u) be the second derivative of u**4/4 - 14*u**3/3 + 26*u**2 + u. Let y(i) = 6*i**2 - 55*i + 103. Let t(p) = -4*y(p) + 7*z(p). Factor t(r).
-3*(r - 4)**2
Let l(i) = 12*i**4 + 27*i**3 - 42*i**2 - 50*i. Let m(u) = -11*u**4 - 26*u**3 + 41*u**2 + 50*u. Let v(b) = -6*l(b) - 7*m(b). Solve v(c) = 0.
-5, -1, 0, 2
Let g(a) = 5*a - 73. Let m be g(15). Solve -23*o**m - 3*o - 3*o + 9*o**4 - 18*o**3 - 2*o**2 = 0 for o.
-2/3, -1/3, 0, 3
Suppose 3*x = 2*w - 41, -4*w + 0*w - 3*x + 55 = 0. Let f = w - 14. Let -2*c**2 + 3*c**f + 7*c**2 - 4 - 4*c**4 = 0. Calculate c.
-1, 1
Determine o, given that 16/5*o + 4/5*o**4 + 32/5 - 4/5*o**3 - 24/5*o**2 = 0.
-2, -1, 2
Let a be (93293/(-12180) - (-4)/6) + 7. Let g(y) be the third derivative of -1/280*y**6 + 0*y - a*y**5 + 0*y**3 + 0*y**4 + 0 - 2*y**2. What is q in g(q) = 0?
-1, 0
Let w be (-1 - 0)/(7 - (-8112)/(-1158)). Let -320*d + 486*d**2 - 266*d**4 + 570*d**2 + 101*d**5 + 32 + w*d**5 - 1096*d**3 = 0. What is d?
-2, 2/7, 1/3, 2
Determine v so that 8/3*v**4 - 2*v**3 - 4*v - 50/3*v**2 + 0 = 0.
-2, -1/4, 0, 3
Let w be 10/(-6)*(-4 + 112/40). Factor 0 - 2/3*t + 1/3*t**w.
t*(t - 2)/3
Let h be 12/(-22) + (-320)/(-264). What is u in 4/3*u**2 - 2*u + 2/3*u**5 + h + 4/3*u**3 - 2*u**4 = 0?
-1, 1
Let p be 0/2 + (1 - -2). Let y(o) = 25*o**5 - 60*o**4 + 45*o**3 - 13*o**2 + 3*o + 3. Let f(k) = -k**2 + k + 1. Let b(r) = p*f(r) - y(r). Factor b(i).
-5*i**2*(i - 1)**2*(5*i - 2)
Let z(i) be the first derivative of -i**5/15 - i**4/4 - i**3/3 - i**2/6 + 18. Suppose z(p) = 0. Calculate p.
-1, 0
Let a(l) be the second derivative of -5*l**7/84 + 37*l**6/12 - 233*l**5/4 + 435*l**4 - 360*l**3 - 4320*l**2 - 397*l. Let a(g) = 0. Calculate g.
-1, 2, 12
Let i(k) be the third derivative of k**8/30240 + k**7/7560 - 17*k**5/60 - 33*k**2. Let j(z) be the third derivative of i(z). Factor j(w).
2*w*(w + 1)/3
Let f(k) be the first derivative of 5*k**3/3 + 155*k**2/2 + 750*k - 147. Factor f(p).
5*(p + 6)*(p + 25)
Let a = 207670/13 + -15974. Suppose -a - 22/13*i + 6/13*i**2 = 0. Calculate i.
-1/3, 4
Suppose -s + 43 = -u, -4*u = -5*s + 290 - 80. Suppose -2*b - h = -s, 4*b - 89 = -b - h. Factor -8*j**2 + 7/2*j**5 - 13*j**4 + 1 + b*j**3 - 1/2*j.
(j - 1)**4*(7*j + 2)/2
Let r(x) = -x**2 + 3*x + 15. Let j be r(5). Factor -i**2 - 4 - 8*i - 2*i + j*i.
-(i + 1)*(i + 4)
Let b(p) be the first derivative of -1/21*p**3 + 1/7*p + 0*p**2 - 5. Factor b(x).
-(x - 1)*(x + 1)/7
Factor 5*f**2 - 10*f - 70 - 8*f + 3*f - 10*f.
5*(f - 7)*(f + 2)
Let r be (-2)/10 - (-292)/10. Let n = 43 - r. Factor 6*o**3 - 12*o**3 - 4*o**2 - 4*o**4 + n*o**4.
2*o**2*(o - 1)*(5*o + 2)
Let g be 105/(-147)*7 - (-7 - 1*-2). Factor 4/5*k**4 + g - 8/5*k**3 + 0*k**2 + 0*k.
4*k**3*(k - 2)/5
Let l be (9/((-189)/56))/(2/(-9)). Factor -l*g - 2*g**2 - 6*g**2 + 3*g**2 + 9*g**2.
4*g*(g - 3)
Let a(l) = 115*l + 30. Let s(g) = g**2 + 6. Let z(u) = a(u) - 5*s(u). Determine q so that z(q) = 0.
0, 23
Let f(n) be the first derivative of -49*n**6/15 - 56*n**5/25 + 143*n**4/10 + 364*n**3/15 + 68*n**2/5 + 16*n/5 - 246. Solve f(x) = 0.
-1, -2/7, 2
Let b(j) be the first derivative of 44*j**7/21 + 52*j**6/15 + 19*j**5/10 + j**4/3 - 5*j - 6. Let c(l) be the first derivative of b(l). Factor c(g).
2*g**2*(2*g + 1)**2*(11*g + 2)
Let g be ((-16)/(-9)*3)/((-6)/(-90)). Factor 320*w**2 + 43*w**3 - g*w**2 + 51*w + 149*w**3 + 3.
3*(w + 1)*(8*w + 1)**2
Suppose 4*t + 4*w = -4, -4 = -2*t - 5*w - 18. Solve -11*x**2 + 4*x + 16*x**2 + 0*x**t + x**3 = 0.
-4, -1, 0
Let 2/13*t**2 + 0 - 4/13*t + 2/13*t**3 = 0. Calculate t.
-2, 0, 1
Let u(i) = -3*i**3 - 18*i**2 - 48*i + 6. Let d(v) = v**2 + 1. Let g = 21 + -20. Let c(t) = g*u(t) - 6*d(t). Let c(f) = 0. Calculate f.
-4, 0
Let p(f) = 2*f - 9. Let v be p(6). Factor 5*j**v + 7*j - 15*j**2 - 17*j - 10*j.
5*j*(j - 4)*(j + 1)
Let f(v) be the second derivative of -v**5/40 + v**4/8 + 2*v**3 - 20*v**2 - 92*v. Find r such that f(r) = 0.
-5, 4
Suppose 81*l - 28*l = 424. Let h(y) be the first derivative of 1/3*y**3 + 1/6*y**2 - 1/5*y**5 - 1/12*y**4 + l + 0*y. Solve h(c) = 0.
-1, -1/3, 0, 1
Let l(n) be the third derivative of -n**9/30240 + n**8/5040 - n**7/2520 - n**5/15 - 5*n**2. Let i(z) be the third derivative of l(z). Solve i(t) = 0.
0, 1
Let n(r) = -8*r - 144. Let i be n(-18). Let v(j) be the first derivative of -3/16*j**4 + 0*j**5 + 0*j + 1/8*j**6 - 3 + 0*j**2 + i*j**3. Solve v(d) = 0 for d.
-1, 0, 1
Let t(n) be the first derivative of n**3/15 + 3*n**2/5 + 90. Determine y, given that t(y) = 0.
-6, 0
Suppose -351*h**2 - 372*h**2 - 103788*h + 17*h**3 - 18*h**3 + 165*h**2 - 6434856 = 0. What is h?
-186
Let k be (4/6)/(44/726). Suppose 5*i + 3*x - 2 - k = 0, 3*i + 2*x - 8 = 0. Suppose 3/5*c**i + 48/5 - 24/5*c = 0. Calculate c.
4
Let q = -30 - -34. Suppose -3*z**4 + q*z**4 + 0*z**2 - z**2 = 0. Calculate z.
-1, 0, 1
Suppose 7/4*r**4 + 0 - 1/4*r**5 + 9/4*r**2 + 0*r - 15/4*r**3 = 0. Calculate r.
0, 1, 3
Factor 31/3*y**4 + 704/3*y**3 + 16384/3*y + 6656/3*y**2 + 1/6*y**5 - 65536/3.
(y - 2)*(y + 16)**4/6
Let v be -2*2/(4/4 + -3). Let w(h) be the third derivative of -6*h**v + 1/36*h**4 + 0*h + 0 + 0*h**3 + 1/90*h**5. Factor w(a).
2*a*(a + 1)/3
Let g(s) = s**2 - 9*s - 8. Let n be g(10). Factor 0*r - 3*r**3 + 7*r**3 - 12*r**n + 16*r - 4*r**2.
4*r*(r - 2)**2
Let q(k) be the second derivative of -3*k**5/140 - 25*k**4/28 + 2*k**3 + 78*k**2/7 + 21*k. Factor q(j).
-3*(j - 2)*(j + 1)*(j + 26)/7
Solve 9/10*z**2 + 4/5*z**3 - 1/10*z**4 + 0 + 0*z = 0 for 