mine r so that q(r) = 0.
-4, 0
Let j = 159/116 - 7/58. Factor -7/4*n - 1/2 - j*n**2.
-(n + 1)*(5*n + 2)/4
Let d(a) be the first derivative of 6 - 6*a - 51/2*a**2 - 81/5*a**5 - 189/4*a**4 - 51*a**3. Determine j, given that d(j) = 0.
-1, -2/3, -1/3
Let a = -455 - -459. Let w(f) be the third derivative of 0*f + 0*f**3 - 1/315*f**7 + 0 - 1/90*f**5 + 5*f**2 + 0*f**a - 1/90*f**6. Let w(j) = 0. Calculate j.
-1, 0
Let p(l) be the third derivative of l**6/120 - l**5/20 - 5*l**4/12 + 99*l**2. Factor p(n).
n*(n - 5)*(n + 2)
Let j be (-1)/(-5) + (-255)/25. Let a = 12 + j. Let 0*h**2 + h**3 - 2*h**a - 2*h**3 + 2*h + h**2 = 0. What is h?
-2, 0, 1
Let v(o) be the first derivative of 0*o**3 + 0*o + 7 + 0*o**5 - 2/3*o**6 + 0*o**2 + o**4. Find j such that v(j) = 0.
-1, 0, 1
Suppose -58 + 76 = 6*u. Let h(k) be the second derivative of 1/20*k**4 + 0*k**2 + 0 + 1/5*k**u - 9*k. Factor h(a).
3*a*(a + 2)/5
Let c(v) be the third derivative of -v**8/2240 + v**7/840 + v**6/40 - 5*v**4/24 + v**3/6 + 22*v**2. Let t(u) be the second derivative of c(u). Factor t(f).
-3*f*(f - 3)*(f + 2)
Let f = 1543 + -1543. Let k(b) be the second derivative of 2/3*b**3 - 3/20*b**5 + 0*b**2 + 0*b**4 + 1/30*b**6 + 6*b + f. Solve k(a) = 0.
-1, 0, 2
Let d(k) = -k**2 + 6*k - 2. Let c(r) = -5*r**2 + 31*r - 11. Let v be -12*10/(-4)*2/10. Let o(s) = v*c(s) - 33*d(s). Factor o(f).
3*f*(f - 4)
Factor 1/4*u**2 + 15/4 - 4*u.
(u - 15)*(u - 1)/4
Let w(h) = -h**3 + 9*h**2 + 32*h - 22. Let f be w(12). Let a be (3 - 1)*f/(-28). Factor 1/3*c**a + 2/3*c**3 - c - c**4 + 2/3*c**2 + 1/3.
(c - 1)**4*(c + 1)/3
Solve 0*n**2 + 0 - 6/5*n**3 + 8/5*n - 2/5*n**4 = 0.
-2, 0, 1
Let v(z) be the third derivative of 1/2*z**3 + 0 + 1/20*z**5 + 0*z + 1/4*z**4 + 12*z**2. Factor v(a).
3*(a + 1)**2
Suppose -2*r = 3*r - 20. Solve -36*i - 4*i**4 + 4*i - 28*i**3 + 46*i**2 + 8 + 0 + 10*i**r = 0.
2/3, 1, 2
Let w(u) = 634*u - 41 - 62 - 641*u. Let y be w(-15). Solve 4/3*q - 2/9*q**2 - y = 0.
3
Factor y**2 - 21/5 - 1/5*y**3 + 17/5*y.
-(y - 7)*(y - 1)*(y + 3)/5
Suppose -95*i - 14 = -102*i. Suppose -5*o - 1 = g, g - 5*g = o + 4. Solve 17/4*r**i + o - 5/4*r**3 - 3/2*r = 0 for r.
0, 2/5, 3
Suppose 1 = -3*n + z, 4986 = 2*n + 3*z + 4983. Solve n*t + 5/3*t**2 + 0 + 10/3*t**3 = 0.
-1/2, 0
Let v be (-14)/(-477) + 1 - (-16)/(-16). Let u = 22/53 + v. Factor 2/9*z**3 + u*z**2 + 2/9*z + 0.
2*z*(z + 1)**2/9
Factor 3*z**4 - 16*z**3 - 81*z**2 - 64*z**2 + 6*z + 132*z**2.
z*(z - 6)*(z + 1)*(3*z - 1)
Let a be (-27)/(-5) + -6*(-8)/(-120). Suppose 5*m**3 - 2*m**3 - 3*m**5 + 6*m**4 - m**2 - a*m**2 = 0. What is m?
-1, 0, 1, 2
Let g be (44/6)/((-6)/9). Let p = g + 13. Let 5 - 1 - f**p + 4*f**2 + 2 - 9*f = 0. Calculate f.
1, 2
Let h be (-156)/(-33) + 20/(-330). Find l such that -4/3*l**2 - h*l**4 + 2/3*l**5 - 10*l + 6 + 28/3*l**3 = 0.
-1, 1, 3
Let q = 4963 + -34740/7. Let -3/7*x - 1/7 - 3/7*x**2 - q*x**3 = 0. Calculate x.
-1
Let d(u) = -14*u**4 + 102*u**3 - 180*u**2 - 24*u - 8. Let a(y) = 9*y**4 - 68*y**3 + 120*y**2 + 15*y + 5. Let w(g) = 8*a(g) + 5*d(g). Factor w(z).
2*z**2*(z - 15)*(z - 2)
Let u be (13 - 13)*8/16. Factor u - 8/5*d**4 - 6/5*d**3 + 8/5*d**5 + 4/5*d**2 + 2/5*d.
2*d*(d - 1)**2*(2*d + 1)**2/5
Let k(b) be the second derivative of -3*b**5/5 + 35*b**4/4 + 9*b**3/2 + 20*b. Factor k(i).
-3*i*(i - 9)*(4*i + 1)
Let b(x) be the second derivative of -x**7/630 + x**5/180 + 5*x**2/2 - 10*x. Let c(y) be the first derivative of b(y). Find w such that c(w) = 0.
-1, 0, 1
Let m(n) = -12*n**4 + 53*n**3 + 12*n**2 - 38*n + 10. Let w(v) = -9*v**4 + 54*v**3 + 13*v**2 - 38*v + 8. Let j(s) = 4*m(s) - 5*w(s). Factor j(c).
-c*(c + 1)*(c + 19)*(3*c - 2)
Determine f so that 293907*f**2 + 12 - 1959*f - 1746*f - 51*f = 0.
2/313
Let v(q) be the first derivative of -q**2 - 2*q + 1/6*q**3 + 1/8*q**4 + 21. Factor v(u).
(u - 2)*(u + 1)*(u + 2)/2
Let x = 2800 - 2800. Factor -22/3*g**2 - 15/2*g**4 + x - 4/3*g - 13*g**3.
-g*(3*g + 2)**2*(5*g + 2)/6
Let x(z) = -84*z - 2515. Let w be x(-30). Solve -o + 4/5*o**3 - 2/5 - 2/5*o**2 + 4/5*o**4 + 1/5*o**w = 0 for o.
-2, -1, 1
Let y(c) be the second derivative of 2*c**6/15 - 23*c**5/5 + 22*c**4/3 + 20*c + 5. Factor y(s).
4*s**2*(s - 22)*(s - 1)
Let b = 11269/16899 + -1/5633. What is w in b*w**2 - 1 + 5/3*w = 0?
-3, 1/2
Solve -4/5 + 0*k + 0*k**3 + k**2 - 1/5*k**4 = 0 for k.
-2, -1, 1, 2
Suppose -7*b**2 + 0*b**3 - 2*b - 2*b - b**3 + 3*b**2 = 0. What is b?
-2, 0
Let m(u) = -u**4 - u**2. Let a(l) = -15*l**3 + 96*l**2 - 129*l + 54. Let h(f) = a(f) + 3*m(f). Let h(w) = 0. Calculate w.
-9, 1, 2
Factor 1/2*w - 1/3*w**2 - 1/6*w**3 + 0.
-w*(w - 1)*(w + 3)/6
Let q(t) be the third derivative of t**8/112 + t**7/14 + 7*t**6/40 + 3*t**5/20 + 106*t**2. Solve q(g) = 0.
-3, -1, 0
Let n be 4/((-114)/(-18) + 0 + -5). Let y(a) = a**2 - 7*a + 6. Let m be y(6). Factor 2/17*t**4 - 4/17*t**n + 0 + m*t - 6/17*t**2.
2*t**2*(t - 3)*(t + 1)/17
Let q be ((-3)/27*3)/((-1)/(-27)). Let w be q*(2/3 - (-96)/(-126)). Solve -w*j**2 - 2/7 + 8/7*j = 0.
1/3, 1
Let n(r) = 5*r + 4. Let j be n(0). Let -19*k**2 + 5*k**j - 19*k**2 + 33*k**2 + 0*k**4 = 0. What is k?
-1, 0, 1
Let y(n) be the first derivative of -4/15*n**3 - 2/5*n**4 + 0*n**2 - 1/30*n**6 + 3 - 1/5*n**5 + 0*n. Find m, given that y(m) = 0.
-2, -1, 0
Let d(j) be the third derivative of j**8/2016 - j**7/315 + j**6/240 + j**5/90 - j**4/36 + j**2 - 20. Factor d(g).
g*(g - 2)**2*(g - 1)*(g + 1)/6
Let i(h) be the first derivative of -1/4*h**2 - 1/10*h**5 - 10 + 0*h + 1/8*h**4 + 1/6*h**3. Find y, given that i(y) = 0.
-1, 0, 1
Let m(p) = -6*p - 9. Let d be m(-3). Suppose -9*x**3 + 2*x + 4*x**5 - d*x**2 - x**5 - 11*x**4 + 24*x**3 = 0. What is x?
0, 2/3, 1
Suppose 2*a - 8 - 7 = 5*c, 0 = -3*a + c + 3. Determine k, given that -4/3*k**3 + 0 + 0*k**2 + a*k + 2/3*k**4 = 0.
0, 2
Suppose 14*i = 2 + 40. Let t(p) = 3*p**3 + 4*p**2 + 4*p. Let b(n) = 3*n**3 + 4*n**2 + 3*n. Let r(y) = i*b(y) - 2*t(y). Factor r(z).
z*(z + 1)*(3*z + 1)
Suppose 3*o - 2*o = -4*w + 18, 4*o = -4*w + 24. Solve -t**w + 0*t**5 - 15*t**4 - 8*t**2 + 4*t**5 + 100*t**3 - 80*t**3 = 0 for t.
0, 1, 2
Let z(s) be the third derivative of -s**6/300 - 13*s**5/10 - 845*s**4/4 - 54925*s**3/3 + 4*s**2 - 5. Let z(f) = 0. What is f?
-65
Let k be 15/(-25) + (-303)/(-480). Let i = 49/32 - k. What is z in -i*z + 0 + 3/2*z**3 + 3/2*z**2 - 3/2*z**4 = 0?
-1, 0, 1
Determine z, given that 42*z**3 - 363*z**2 + 299*z**2 + 10*z**3 + 18*z + 3*z - z - 8*z**4 = 0.
0, 1/2, 1, 5
Let i be -2 - ((-8)/10)/((-25)/((-625)/10)). Factor i*b + 8/11*b**3 - 1/11*b**5 + 0*b**2 + 0 - 2/11*b**4.
-b**3*(b - 2)*(b + 4)/11
Suppose -3*h + 9 + 6 = -g, 2*g - 10 = -2*h. Let y be (-4 - g/(-1))*(-3)/66. Factor -2/11*x**2 + 0 + 0*x**3 + y*x**4 + 0*x.
2*x**2*(x - 1)*(x + 1)/11
Let n be (-5)/20 + (-627)/12. Let r = -52 - n. Determine d so that -1/2*d**5 + 0 + 0*d**4 + 0*d + 0*d**2 + r*d**3 = 0.
-1, 0, 1
Let r be (-325)/(-15) + (-4)/6. Suppose 0*f + r = 3*f. Let f*p**4 + p**5 + 0*p**5 + p**3 - 5*p**4 = 0. Calculate p.
-1, 0
Suppose -22 - 95 = -3*x. Let i = x + -38. Determine j, given that -j**2 - 1/2*j + 1/2*j**3 + i = 0.
-1, 1, 2
Let v be (-3)/(-4) - 2/(-8). Let p(h) = -h**3 - 3*h - 4. Let x(l) = 0 - 3 - l - 2 + 4. Let i(k) = v*p(k) - 4*x(k). Factor i(d).
-d*(d - 1)*(d + 1)
Let a = -7 - -9. Find t, given that -a*t + 2*t - 5*t**2 = 0.
0
Let q be (-65)/(-30) - 0 - 7/42. Factor 2*x**q + 4/3*x + 0.
2*x*(3*x + 2)/3
Let t(x) be the third derivative of 0*x + 1/90*x**5 + 1/9*x**4 - x**2 + 4/9*x**3 + 0. Suppose t(a) = 0. What is a?
-2
Factor -10/11*r**2 + 0 - 2/11*r**4 + 8/11*r**3 + 4/11*r.
-2*r*(r - 2)*(r - 1)**2/11
Let d(u) = -7*u**2 - 15*u + 3. Let g(y) = 6*y**2 + 15*y - 4. Let z(r) = -4*d(r) - 3*g(r). Factor z(f).
5*f*(2*f + 3)
Suppose 106 = -a + 5*a + 3*l, 0 = a + 4*l - 20. Let s be 24*(a/(-12))/(-7). Factor -s*z - 9*z**2 + 7*z - 8*z - 3 - 3*z**3.
-3*(z + 1)**3
Let z(f) = 4*f**2 - 10*f + 10. Let b(w) = -7 - w**2 + 11*w - 3 - 1 - 4*w**2. Let r(p) = -4*b(p) - 6*z(p). Suppose r(a) = 0. Calculate a.
2
Factor -3/2*o**2 - 99/2 - 51*o.
-3*(o + 1)*(o + 33)/2
Let f(t) be the first derivative of -t**6/10 + 6*t**5/5 - 51*t**4/20 + 8*t**3/5 + 65. Let f(y) = 0. What is y?
0, 1, 8
Let c(g) be the first derivative of 3*g**4/16 - 131*g**3/2 + 51483*g**2/8 + 470. Suppose c(o) = 0. What is o?
0, 131
Let x(a) be the second derivative of 0 - 1/6*