.
-1, 0, 1, 3
Factor 0 + 5/3*o**4 + 0*o**2 + 2/3*o**3 + 0*o + 2/3*o**5.
o**3*(o + 2)*(2*o + 1)/3
Let c(s) be the first derivative of s**4/24 + 13*s**3/9 + 169*s**2/12 + 114. Solve c(v) = 0 for v.
-13, 0
Let l(n) be the second derivative of -1/285*n**6 - 1/133*n**7 + 0*n**3 + 36*n + 2/95*n**5 + 0*n**2 + 0 + 0*n**4. Factor l(w).
-2*w**3*(w - 1)*(3*w + 4)/19
Let w(n) be the third derivative of -n**7/840 - n**6/60 - 11*n**5/120 - n**4/4 - 3*n**3/8 + 44*n**2. Suppose w(q) = 0. What is q?
-3, -1
Let a be 3/12*(2 + 18). Let o(h) = -h**2 - 8*h + 1. Let s be o(-7). Solve 128 - a*k**2 + 21*k**2 - 96*k - 2*k**3 + s*k**2 = 0.
4
Let q = -195/4 + 49. Let g = 2/891 + 883/3564. Factor -q*z**2 + g*z + 0.
-z*(z - 1)/4
Let v(z) be the second derivative of -z**7/98 - z**6/14 - 6*z**5/35 - z**4/7 + 37*z. Let v(p) = 0. Calculate p.
-2, -1, 0
Suppose -9*m + 5 = -6*m - q, -6 = -2*m - 2*q. Determine x so that -12/5*x**4 - 104/5*x**m - 16/5*x - 16*x**3 + 4 = 0.
-5, -1, 1/3
Let w(d) = -6*d - 4. Let x be w(8). Let i = x + 54. Let -11*r + 121/4*r**i + 1 = 0. What is r?
2/11
Let u(p) be the second derivative of 3*p**5/20 - 17*p**4/4 - 9*p**3 + 92*p - 1. Factor u(x).
3*x*(x - 18)*(x + 1)
Suppose -156*v = -164*v + 24. Let f(u) be the first derivative of -23/8*u**4 + 7/6*u**v - 5 + 7/4*u**2 + 4/3*u**6 - 4/5*u**5 + 1/2*u. Find x such that f(x) = 0.
-1, -1/4, 1
Let f(l) be the first derivative of -15/2*l**4 + 5/3*l**3 + l**5 - 31 + 80*l + 60*l**2. Solve f(u) = 0.
-1, 4
Suppose 25*k - 183 = 19*k - 55*k. Suppose 0 + 0*a - 8/15*a**k + 2/15*a**4 + 0*a**2 = 0. What is a?
0, 4
Factor 112/5 + 2/5*s**2 + 114/5*s.
2*(s + 1)*(s + 56)/5
Suppose 1719 + 581 = 5*o. Factor o*c - 230*c - 226*c + 4*c**2.
4*c*(c + 1)
Find j, given that -19/4 - 1/4*j**2 - 5*j = 0.
-19, -1
Let a be 3/(-12) + 11/12. Suppose -a*x**3 + 4/3*x**2 + 0 - 2/3*x = 0. What is x?
0, 1
Suppose -4*k = 303 - 311. Suppose -10/3 + 20*t**k - 5/3*t**3 - 25/3*t - 20/3*t**4 = 0. Calculate t.
-2, -1/4, 1
Let r = 9/10 + -5/6. Let m(u) be the first derivative of -r*u**3 + 1/2*u**2 - 5 - 4/5*u. Determine n, given that m(n) = 0.
1, 4
Let m(h) = 61*h - 5. Let v be m(3). Determine o, given that -4*o**2 + 87 - v + 107 = 0.
-2, 2
Let a = -3 - 11. Let x = 17 + a. Let -4*v + 4 - v**2 + 0*v**4 - 2*v**2 + v**4 + 2*v**x = 0. Calculate v.
-2, 1
Solve -5*u**2 + 0 + 6/5*u - 9/5*u**3 = 0.
-3, 0, 2/9
Let n be (-7)/(-35) + (-3)/(-30)*(7 - 9). Factor 2/3*r**2 + n - 4/15*r.
2*r*(5*r - 2)/15
Solve -1/2 + 2*u**3 + 17/4*u + 4*u**4 - 39/4*u**2 = 0 for u.
-2, 1/4, 1
Let u be (545/436)/(10*(-2)/(-8)). Let -u*n + 0 + 11/4*n**2 = 0. Calculate n.
0, 2/11
Let n(u) = -49*u + 2. Let l be n(5). Let r = l + 2675/11. Factor r*t**4 + 0*t**2 + 0*t + 2/11*t**3 + 0.
2*t**3*(t + 1)/11
Factor 2/11*g**4 - 10/11*g**3 - 8/11*g + 16/11*g**2 + 0.
2*g*(g - 2)**2*(g - 1)/11
Let x(f) be the first derivative of 11 + 1/3*f**3 + 25*f - 5*f**2. Solve x(h) = 0.
5
Suppose -35 = 8*j - 51. Factor 9/2 + 0*u**j + 3/4*u**3 - 21/4*u.
3*(u - 2)*(u - 1)*(u + 3)/4
Suppose -k - 5 - 2 = 0. Let b = k + 22. Factor 3*a - 5*a - b*a**2 - a.
-3*a*(5*a + 1)
Factor -384 - 1020*g**3 + 128*g + 6*g**2 + 2*g**2 + 1016*g**3.
-4*(g - 4)**2*(g + 6)
Let w(o) be the second derivative of 21*o**5/160 - 13*o**4/16 - 43*o**3/16 - 15*o**2/8 - 169*o. Factor w(m).
3*(m - 5)*(m + 1)*(7*m + 2)/8
Let k be 17/(-8) + 2 - 1023/(-792). What is u in 5/6*u**3 - 1/6*u**4 - 3/2*u**2 + k*u - 1/3 = 0?
1, 2
Let m(q) = q**3 + 25*q**2 - 2*q - 48. Let j be m(-25). Let s = 719/435 + 2/145. Suppose 0 + 7/3*w**5 - 3*w**3 + s*w**4 - 5/3*w**j + 2/3*w = 0. What is w?
-1, 0, 2/7, 1
Suppose -n + 6*n - 60 = 0. Let z = n + -8. Let o**3 - o**2 + o - o**z - 2*o**3 + 3*o**4 - o**4 = 0. Calculate o.
-1, 0, 1
Let 1152/5 + 2/5*z**2 + 96/5*z = 0. What is z?
-24
Let r be 0/(13 + 165/(-11)). Let 0 + 1/2*i**5 + r*i - 3/2*i**4 - 1/2*i**2 + 3/2*i**3 = 0. Calculate i.
0, 1
Let -2*k**5 - 39*k + 67*k - 32*k**3 + 24*k**2 + 3*k**5 + 3*k**5 - 24 = 0. Calculate k.
-3, -1, 1, 2
Let 151*s**4 + 384 - 35*s**4 + 150*s**3 + 2*s**5 - 26*s**4 - 544*s - 56*s**4 - 26*s**2 = 0. What is s?
-8, -3, 1
Suppose 3 = -2*p - 15. Let r = -7 - p. Find m, given that 2*m**3 - 3*m**2 + 3*m**3 + 5*m**r - 5*m - 2 = 0.
-1, -2/5, 1
Let z(d) = -11*d + 3 - 5 + 4 + 0*d**3 - 12*d**2 - d**3. Let m be z(-11). Factor 1/2*g**3 + g**m - 1/2*g**4 + 0 + 0*g.
-g**2*(g - 2)*(g + 1)/2
Let c(p) be the first derivative of -p**4/8 + 17*p**3/2 + p**2 - 102*p - 269. Suppose c(g) = 0. What is g?
-2, 2, 51
Let z(n) be the second derivative of n**5/5 - n**4/2 + n**3/2 - 7*n**2/2 - 34*n. Let v(r) be the first derivative of z(r). Factor v(l).
3*(2*l - 1)**2
Let h(b) be the first derivative of 1/2*b**2 + 2/5*b + 1 - 1/5*b**3. Factor h(z).
-(z - 2)*(3*z + 1)/5
Let z be -84*((-4)/(-10) - (-120)/(-50)). Let r be ((-1)/7 - 32/z)*-6. Suppose -4*w**r + 14/5*w**3 + 0 + 6/5*w = 0. What is w?
0, 3/7, 1
Factor -1/3*r**2 + 0 + 6*r.
-r*(r - 18)/3
Let p(x) = -3*x**5 - x**2 + x + 1. Let m(l) = 55*l**5 + 175*l**4 - 1615*l**3 + 1465*l**2 - 20*l - 20. Let w(i) = -m(i) - 20*p(i). Factor w(r).
5*r**2*(r - 17)**2*(r - 1)
Let v(q) be the first derivative of 2*q**6/5 - 7*q**5/5 + 5*q**4/3 - 2*q**3/3 - 19*q + 9. Let b(a) be the first derivative of v(a). Suppose b(z) = 0. What is z?
0, 1/3, 1
Suppose 4 + 1 = -5*w, -4*w = -3*n - 236. Let y = 406/5 + n. Factor -y + 4/5*g + 2/5*g**2.
2*(g - 1)*(g + 3)/5
Let x(w) be the third derivative of -1/840*w**7 - 12*w**2 + 0*w**6 + 1/240*w**5 + 0*w + 0*w**3 + 0*w**4 + 0. Determine j so that x(j) = 0.
-1, 0, 1
Let d(j) = -2*j**2 + 46*j + 36. Let p(y) = y**2 - y + 1. Let c(w) = -d(w) - 4*p(w). Solve c(n) = 0.
-20, -1
Let s = 680 + -2717/4. Factor 0 - s*z**3 + 3/4*z + 3/4*z**2 - 3/4*z**4.
-3*z*(z - 1)*(z + 1)**2/4
Let m(d) be the third derivative of -d**6/30 + 2*d**5/15 + 32*d**4/3 + 320*d**3/3 + 175*d**2. Determine a, given that m(a) = 0.
-4, 10
Factor 210125/6 - 1025/3*d + 5/6*d**2.
5*(d - 205)**2/6
Let j(z) = 332*z - 5309. Let t be j(16). Factor 2/7*h**t - 2*h + 8/7 + 4/7*h**2.
2*(h - 1)**2*(h + 4)/7
Let f = 21 + -9. Let g be (-4)/f*(-1 - -4). Let w(v) = -1. Let a(x) = 2*x**2 + 2*x - 1. Let b(q) = g*a(q) + w(q). Factor b(d).
-2*d*(d + 1)
Let b(c) = -43*c**5 - 216*c**4 + 45*c**3 + 929*c**2 + 436*c + 49. Let m(p) = p**5 + p**2 - p - 1. Let t(f) = -b(f) + 5*m(f). Find h such that t(h) = 0.
-3, -1/4, 2
Let x(y) = 9*y**2 - 30*y + 25. Let b(d) = -9*d**2 + 30*d - 25. Let w(g) = -3*b(g) - 2*x(g). Solve w(v) = 0.
5/3
Let l = 61 - 59. Let a be 33/22*((-10)/(-3) - l). Solve -2*p + 4/3 + 2/3*p**a = 0.
1, 2
Let f(g) be the third derivative of 5*g**8/336 - g**6/24 + 91*g**2. Factor f(b).
5*b**3*(b - 1)*(b + 1)
Let c be ((-4)/(-28) + (-2)/14)/(-2). Factor 2/3*v**4 + 0*v - 2/3*v**2 + 0 + c*v**3.
2*v**2*(v - 1)*(v + 1)/3
Let i be (-5)/6*(-228)/760. Solve -i*l**3 - 1/2 + 0*l**2 + 3/4*l = 0 for l.
-2, 1
Factor 2/7 + 9/7*y**2 + y + 1/7*y**4 + 5/7*y**3.
(y + 1)**3*(y + 2)/7
Factor -72 + 16*d - 2*d**2 + 185 - 73.
-2*(d - 10)*(d + 2)
Let w be (-3)/(-27) + (-6 + 6)/4. Let x(j) be the first derivative of 0*j + 0*j**2 - 4/15*j**5 - 5 + w*j**3 - 1/4*j**4. Factor x(c).
-c**2*(c + 1)*(4*c - 1)/3
Let g(c) = -c**2 + 18*c - 15. Let s be g(17). Suppose 5*j + 7*u = s*u + 25, -u + 3 = 0. Determine f, given that 4/3*f + 1/3 + 1/3*f**4 + 4/3*f**3 + j*f**2 = 0.
-1
Let a(d) be the first derivative of 49*d**6/18 - 14*d**5/5 - 8*d**4 - 32*d**3/9 + 452. Determine f, given that a(f) = 0.
-4/7, 0, 2
Solve 8*t**2 - 9216 - 18*t**2 + 6*t**2 + 192*t + 3*t**2 = 0 for t.
96
Let p be (15/(-6))/(560/(-64)). What is w in -2/7*w - p*w**2 + 4/7 = 0?
-2, 1
Factor 3/2*p + 0 - 1/4*p**2.
-p*(p - 6)/4
Suppose -39*x + 91 = -26*x. Suppose 0 = -x*j - 21*j. Determine t, given that -3/2*t**2 + 0*t + j = 0.
0
Solve 2/3*x**3 + 2 - 26/3*x**2 - 2/3*x + 20/3*x**4 = 0 for x.
-1, -3/5, 1/2, 1
Let z(o) = -o**2 - o - 2. Let w(m) = -10*m**2 - 14*m - 20. Let l(k) = w(k) - 8*z(k). Factor l(p).
-2*(p + 1)*(p + 2)
Factor 273375/4*u**4 + 18 - 1221*u - 856575/4*u**3 + 55485/2*u**2.
3*(u - 3)*(45*u - 2)**3/4
Let a = -4533 + 4536. Suppose 1/2 - a*s**2 + 1/2*s = 0. What is s?
-1/3, 1/2
Let m(j) = j**4 - j**3 + j**2 + 1. Let l(t) = 21*t**5 + 632*t**4 + 4909*t**3 + 1346*t**2 - 4. Let c(r) = l(r) + 4*m(r). Factor c(z).
3*z**2*(z + 15)**2*(7*z + 2)
Let i = -78 + 73. Let b(r) = 7*r**3 + 4*r