(-90)/(-72). Suppose 1/8*h**2 + c*h + 1/8 = 0. Calculate h.
-1
Let v = -774 + 777. Find l, given that 0*l + 0*l**2 - 5/4*l**v + 0 - 5/4*l**5 - 5/2*l**4 = 0.
-1, 0
Let x(l) = -9*l**3 - 61*l**2 - 518*l + 1289. Let z(i) = -4*i**3 - 31*i**2 - 258*i + 645. Let o(c) = 6*x(c) - 14*z(c). Find m such that o(m) = 0.
-18, 2
Suppose 3*f + 4*h = 1, 5*f - h = 4*h + 60. Let c = f - 3. Solve 6*r**3 + 4*r**c + 5*r**4 - r**4 + 3*r**2 - 5*r**4 = 0 for r.
-1, 0
Suppose 0 = -5*n - r + 2, 3*r + 10 = -2*n + 8*r. Solve n + 8/7*y + 4/7*y**3 + 12/7*y**2 = 0.
-2, -1, 0
Let s be 11 + (-1 - (0 + 2)). Suppose z + s = 5*z. Solve 8*x - 8*x - x**z - 3*x - 2 = 0 for x.
-2, -1
Suppose 0 = -j + 4, -4*j = s - 0*j - 38. Let p**4 - 18*p + s*p**2 - 9*p**3 + 5*p**2 - 9*p = 0. What is p?
0, 3
Let -2/13*s**4 - 22/13*s**2 + 0 - 12/13*s - 12/13*s**3 = 0. Calculate s.
-3, -2, -1, 0
Suppose -9*g - 2934 + 2952 = 0. Let 0 - 4*o - 8/3*o**g + 4/3*o**3 = 0. What is o?
-1, 0, 3
Let g(n) be the third derivative of -12*n**2 + 0*n + 4/105*n**6 + 0 + 16/7*n**4 + 44/105*n**5 + 1/735*n**7 + 48/7*n**3. Factor g(s).
2*(s + 2)**2*(s + 6)**2/7
Let c(q) be the first derivative of 7*q**7/480 + 77*q**6/1440 + q**5/15 + q**4/24 - 22*q**3/3 + 58. Let o(n) be the third derivative of c(n). Factor o(h).
(h + 1)*(7*h + 2)**2/4
Let k = -24911 - -24914. Factor 0 - 2/3*x**k - 7/6*x**4 + 2/3*x + 7/6*x**2.
-x*(x - 1)*(x + 1)*(7*x + 4)/6
Let r(z) be the first derivative of -z**3 - 2 - 1/20*z**5 - 5/4*z**2 - 3/4*z - 3/8*z**4. Factor r(q).
-(q + 1)**3*(q + 3)/4
Let l(f) be the third derivative of -f**8/1176 + f**6/140 + f**5/105 - 189*f**2. Factor l(c).
-2*c**2*(c - 2)*(c + 1)**2/7
Let b(q) = q**3 - q**2 - 1. Let i(g) = -4*g**3 + 16*g**2 - 12*g + 2. Let r(c) = 2*b(c) + i(c). Determine p so that r(p) = 0.
0, 1, 6
Let b(m) = -2*m**3 - m**2. Let s(y) = -408*y**3 + 333*y**2 - 27. Let h(f) = -6*b(f) - s(f). Solve h(w) = 0.
-1/4, 3/7, 3/5
Let c = -2447/6 - -408. Let p(x) be the first derivative of -1/3*x**3 + 1/4*x**4 + 1/5*x**5 + 0*x + 0*x**2 - c*x**6 - 3. Factor p(j).
-j**2*(j - 1)**2*(j + 1)
Find a, given that -16 + 2/5*a**2 + 78/5*a = 0.
-40, 1
Let p(d) be the first derivative of 5*d**6/24 - 3*d**5/8 - 11*d**4/48 + d**3/2 + d**2/2 - 13*d + 49. Let f(v) be the first derivative of p(v). Factor f(r).
(r - 1)**2*(5*r + 2)**2/4
Let t = 314/7 + -3733/84. Let i = 7/4 - t. Factor -2*x**2 + i*x + 2/3.
-2*(x - 1)*(3*x + 1)/3
Factor 15*r**3 + 58*r - 129*r**2 + 117*r**2 + 75 - 223*r**2 + 87*r.
5*(r - 15)*(r - 1)*(3*r + 1)
Factor 0*t**2 + 0*t + 0*t**3 + 2/5*t**5 + 0 - 2/5*t**4.
2*t**4*(t - 1)/5
Suppose -4*a = -3*h - 25, -7*a - 2*h + 10 = -3*a. Determine m, given that -8*m - 138*m**3 - 338*m**5 - 88*m**2 + 0*m - 690*m**4 + 1262*m**a = 0.
-2/13, 0, 1
Let z = -4405/12 + 1102/3. Determine u so that 0 + z*u**3 + 0*u**2 - 1/4*u**5 + 0*u**4 + 0*u = 0.
-1, 0, 1
Let v = -2/15 - -14/15. Determine q so that 8/5*q - 4/5*q**2 - v = 0.
1
Let p = 38315/946 - 1/473. Let k = 41 - p. Suppose a + 1/2 + k*a**2 = 0. What is a?
-1
Suppose -5 = 4*c + f - 17, 3*c = -4*f + 22. Suppose -c*v - 2*z = v - 6, 3*z = 0. Factor -1/9*d**v + 2/9*d - 1/9.
-(d - 1)**2/9
Let w(v) be the third derivative of v**5/60 + 13*v**4/4 + 507*v**3/2 - 7*v**2 + 14*v. Determine y, given that w(y) = 0.
-39
Solve -84/11*k - 80*k**2 + 882/11 - 2/11*k**4 + 84/11*k**3 = 0 for k.
-1, 1, 21
Let p be ((-1)/16)/(39/396 - (-8)/(-44)). Factor 21/4*b**2 + p*b - 21/4 - 3/4*b**3.
-3*(b - 7)*(b - 1)*(b + 1)/4
Suppose -2*j + 7 = -d, j + 1 = 6. Let p(b) be the first derivative of -4/7*b**d + 0*b + 27/35*b**5 + 0*b**4 + 8 + 0*b**2. Suppose p(l) = 0. Calculate l.
-2/3, 0, 2/3
Let y be -26 + 7 - (-8160)/420. Solve 0 - 12/7*r + 3/7*r**3 + 12/7*r**2 - y*r**4 = 0 for r.
-2, 0, 1, 2
Suppose -2*i + 0*i**2 - 92 + 0*i + 43 - i**2 + 52 = 0. What is i?
-3, 1
Suppose 3947 = 30*c + 3887. Factor 0*v**c + 0*v + 3/2*v**5 + 3/2*v**3 + 0 + 3*v**4.
3*v**3*(v + 1)**2/2
Suppose -163*m = -176*m + 52. Find c such that 0 - 2/13*c + 14/13*c**3 - 4/13*c**2 - 8/13*c**m = 0.
-1/4, 0, 1
Let d(y) be the first derivative of -y**4/3 + 20*y**3/3 + 22*y**2 + 68*y/3 + 27. Factor d(w).
-4*(w - 17)*(w + 1)**2/3
Suppose -4*s = -0*s + 2*q - 472, -2*s - 5*q + 236 = 0. Let v = s - 9. Factor 303*a**2 + 27*a**2 + v*a**3 + 66*a**3 - 40 - 60*a.
5*(a + 2)*(5*a - 2)*(7*a + 2)
Let c(y) = y**3 - 50*y**2 + 7*y - 348. Let z be c(50). What is r in 0 - 6/5*r + 3/5*r**z - 3/5*r**5 - 3/5*r**4 + 9/5*r**3 = 0?
-2, -1, 0, 1
Let c(i) = 4*i + 2. Let n be c(3). Suppose 4*k - 3*v - n = 0, -2*k - 3*k = 5*v. What is d in -3*d**5 + 3*d**3 + 3*d**4 + 0*d**2 + 0*d**4 - 3*d**k + 0*d**4 = 0?
-1, 0, 1
Let a(p) = -p - 13. Let g be a(-9). Let h be g/(-5 - (-2 - 1)). Factor -2*o**4 - 3 + h*o**3 + 10*o**3 + 22*o - 2*o - 3 - 24*o**2.
-2*(o - 3)*(o - 1)**3
Suppose 0 = 2*g + 21 - 1. Let n be (-21)/(-6) - 5/g. Factor -9*r**3 - 6*r**2 + 4*r**2 - 4*r**2 - 3*r**n.
-3*r**2*(r + 1)*(r + 2)
Let w be (-10)/8 + (-119)/84 + 3. Let v(r) be the third derivative of 7/20*r**5 - 1/30*r**7 + w*r**4 + 0*r - 2*r**2 + 1/60*r**6 - 2/3*r**3 + 0. Factor v(m).
-(m - 2)*(m + 1)**2*(7*m - 2)
Let s(j) be the first derivative of -j**4/66 + j**3/11 - 2*j**2/11 - 22*j + 4. Let n(q) be the first derivative of s(q). Solve n(d) = 0 for d.
1, 2
Let z = 535/51 + 3/17. Determine t so that z*t**2 - 16/3*t + 0 + 28/3*t**3 - 20/3*t**4 = 0.
-1, 0, 2/5, 2
Let n = 19 + -2. Suppose -5*j = -n - 3. Factor -v**2 - 9*v**j - 15*v**3 - 6*v**2 + v**2.
-3*v**2*(v + 1)*(3*v + 2)
Let o = -49 + 63. Let k = o + -14. Factor 0*a - 10/3*a**4 - 16/3*a**3 + k - 8/3*a**2 - 2/3*a**5.
-2*a**2*(a + 1)*(a + 2)**2/3
Let d(z) be the second derivative of -z**6/210 + z**5/105 + 2*z**2 + 7*z. Let g(i) be the first derivative of d(i). Determine h, given that g(h) = 0.
0, 1
Let l(i) be the third derivative of -7/20*i**5 - 1/70*i**7 - 23*i**2 + 3/20*i**6 + 0*i + 0 - 1/224*i**8 + 0*i**3 + 5/16*i**4. Determine n, given that l(n) = 0.
-5, 0, 1
Suppose -10 = -5*p - 4*t, 9*p = 5*p - t + 8. Let v(i) be the first derivative of 4/15*i**3 + 0*i + p - 1/5*i**2. Factor v(q).
2*q*(2*q - 1)/5
Let m(j) = 52*j - 12 - 29*j + 59*j. Let p be m(6). Solve -p*z**2 - 5*z**4 - 592 - 740 + 52 - 80*z**3 - 1280*z = 0.
-4
Let t be (((-6)/(-4))/(2925/(-780)))/(-1 - 0). What is p in 0 - 1/5*p**5 + 0*p**3 - 2/5*p**2 + t*p**4 + 1/5*p = 0?
-1, 0, 1
Let r be ((-4)/102)/(52 - 1776/34). Let 8/3*g - r*g**5 + 4/3*g**4 - 5/2*g**3 + 0 - 4/3*g**2 = 0. Calculate g.
-1, 0, 1, 4
Let q(p) be the second derivative of -4/3*p**3 + 0*p**2 - 3/5*p**5 + 0 - 21*p + 7/3*p**4. Determine a so that q(a) = 0.
0, 1/3, 2
Let h = 99 + -57. Solve -23*v**2 + 0 + 3*v - 48*v**3 - 2 + 28*v**4 + h*v**2 + 0 = 0.
-2/7, 1/2, 1
Let i(c) be the second derivative of -3*c**5/20 + 19*c**4/12 - 7*c**3/2 + 5*c**2/2 - 20*c + 2. Factor i(v).
-(v - 5)*(v - 1)*(3*v - 1)
Suppose 112 = -0*v + 7*v. Find h such that h**5 + 3*h**5 - 24*h + 24*h**4 + 2*h**2 + 32*h**3 - v - 10*h**2 - 12*h = 0.
-4, -1, 1
Let f(p) be the third derivative of 3*p**5/160 - p**4/8 - 3*p**3/16 + 2*p**2 - 28*p. Find l such that f(l) = 0.
-1/3, 3
Let 2/3 - 1/3*a**2 + 1/3*a = 0. What is a?
-1, 2
Let i(x) be the first derivative of x**3/24 - 5*x**2/4 + 75*x/8 - 621. Factor i(u).
(u - 15)*(u - 5)/8
Let v(a) be the first derivative of -a**5/270 + a**4/54 - a**3/27 - 9*a**2 - 9. Let n(y) be the second derivative of v(y). Factor n(x).
-2*(x - 1)**2/9
Let k be 4/(-14)*(-14)/(-28)*-7. Suppose -20*x + 105 + 0*x**2 + k + x**2 - 6 = 0. What is x?
10
Let h(f) be the second derivative of -f**4/6 - 26*f**3 - 1521*f**2 + 248*f. Factor h(i).
-2*(i + 39)**2
Determine m so that -2 - m**2 + 3*m**2 - 97*m + 48*m + 54*m - 5*m**3 = 0.
-1, 2/5, 1
Let t(s) be the second derivative of s**4/114 - 67*s**3/57 + 66*s**2/19 - 2*s + 12. Let t(j) = 0. What is j?
1, 66
Let d(l) be the second derivative of -l**4/4 - l**3 - 3*l**2/2 - 123*l. Let d(z) = 0. What is z?
-1
Let v be 11/(11/6) - 3. Suppose -11 + 8*j**2 + 4*j + 3 + 7*j**v - 11*j**3 = 0. Calculate j.
-1, 1, 2
Find x such that 28*x - 66*x - 1766 - x**2 - 1598 - 78*x = 0.
-58
Let o(i) be the third derivative of i**8/2240 - i**7/210 + i**6/60 + i**4/6 - 5*i**2. Let v(w) be the second derivative of o(w). Determine y so that v(y) = 0.
0, 2
Suppose -57*j**2 + 176*j + 9*j**3 + 21*j**4 + 36 - 90*j + 3*j**5 - 98*j = 0. What is j?
-6, -2, -