- 11/2*s**2 - 1/2 = 0. Calculate s.
-3, -1/3
Suppose -63 = g - 3*y, -2*y = g - 4*y + 63. Let s = -4 - g. What is f in 13*f**2 + s*f**2 - 4*f - 165*f**4 + 72*f**3 - 324*f**5 - 73*f**4 - 86*f**4 - 4 = 0?
-1, -1/3, 1/3
Let l be (6/273)/((-33)/(-231)). Factor -l*i**2 + 10/13*i + 0.
-2*i*(i - 5)/13
Factor -29*d - 13*d - 17*d**2 - 42*d + 18*d + 20*d**2 + 363.
3*(d - 11)**2
Let p = 1161 + -1161. Let w(x) be the third derivative of 0 + p*x + x**2 + 0*x**4 - 1/420*x**7 - 1/120*x**5 - 1/120*x**6 + 0*x**3. Factor w(q).
-q**2*(q + 1)**2/2
Let w = 2 + 12. Let p = w - 11. Factor p*l**2 - 10*l**4 + 7*l**4 + 0*l**2.
-3*l**2*(l - 1)*(l + 1)
Let 15/2*k + 9/2*k**2 + 1/2*k**3 - 25/2 = 0. Calculate k.
-5, 1
Let l(g) be the first derivative of -g**6/1440 - g**5/48 - 3*g**4/32 - g**3 + 18. Let w(y) be the third derivative of l(y). Factor w(i).
-(i + 1)*(i + 9)/4
Factor 5*v**4 + 191*v**3 + 55*v**2 + 0 - 131*v**3 + 0.
5*v**2*(v + 1)*(v + 11)
Let r(c) be the first derivative of 0*c - 1/4*c**2 + 11 - 1/12*c**3. Factor r(s).
-s*(s + 2)/4
Let q = 9782254/165 - 59285. Let s = -3/55 + q. Factor -2/3*z - 2/3*z**3 + s*z**2 + 0.
-2*z*(z - 1)**2/3
Let l(q) be the second derivative of 21*q**5/10 + q**4/3 + 133*q. Factor l(m).
2*m**2*(21*m + 2)
Let m(v) = -8*v**2 - v + 9. Let z(p) = -13*p**2 - p + 14. Let b(x) = 8*m(x) - 5*z(x). Factor b(h).
(h - 2)*(h - 1)
Let y = -14 + 17. Determine k, given that 5*k**2 + 11*k**3 - 3*k**y + 9 + 10*k**2 + 21*k - 5*k**3 = 0.
-3, -1
Let y(r) = r**3 + 77*r**2 - 972*r - 352. Let j be y(-88). Factor 0 - 2/13*m**3 + j*m + 6/13*m**2.
-2*m**2*(m - 3)/13
Suppose 0 = -c - 18 + 20. What is o in -3*o**4 + 5*o**4 - 56 + 15*o + 47 + 57*o**3 + 10*o**4 + 69*o**c = 0?
-3, -1, 1/4
Let f(w) be the third derivative of -1/240*w**5 + 1/672*w**8 + 0*w**3 + 1/840*w**7 - 1/160*w**6 - 15*w**2 + 0 + 1/96*w**4 + 0*w. Let f(i) = 0. Calculate i.
-1, 0, 1/2, 1
Suppose -l = -3*d + 38, 3*d + 2*l = -2*d + 56. Suppose 2*r = 5*c - 191 - 201, 3*r - d = 0. Factor 5*h**3 - c + 15*h**2 + 10*h + 80.
5*h*(h + 1)*(h + 2)
Factor -18 - 33/2*u + 21/4*u**2.
3*(u - 4)*(7*u + 6)/4
Let l = -8968 - -8970. Factor -1/5 + 0*a + 1/5*a**l.
(a - 1)*(a + 1)/5
Let p = -4 - -4. Suppose 0*u - 11*u + 33 = p. Factor -2/5*x**2 + 0*x + 1/5*x**4 + 0 + 1/5*x**u.
x**2*(x - 1)*(x + 2)/5
Let k(m) = -64*m**2 + 98*m - 24. Let h(n) = 352*n**2 - 540*n + 132. Let s(p) = 5*h(p) + 28*k(p). Factor s(b).
-4*(b - 1)*(8*b - 3)
Let l(h) be the third derivative of h**7/420 - h**6/60 - h**5/120 + h**4/12 - h**2 + 76. Determine b, given that l(b) = 0.
-1, 0, 1, 4
Let d(o) be the first derivative of -6 - 9/16*o**2 + 1/8*o**3 + 0*o. Find l such that d(l) = 0.
0, 3
Suppose -15 + 3 - 4*i**2 + 63*i - 32*i - 47*i = 0. What is i?
-3, -1
Let s(u) be the second derivative of u**6/15 + 7*u**5/10 + 7*u**4/6 - 5*u**3 + 21*u. What is t in s(t) = 0?
-5, -3, 0, 1
Let i(y) = -22*y**2 + 1124*y - 20528. Let t(k) = 7*k**2 - 374*k + 6843. Let p(f) = -2*i(f) - 7*t(f). Determine s so that p(s) = 0.
37
Solve 51/8*u - 25/4 - 1/8*u**2 = 0.
1, 50
Let j = 4187 + -4167. Suppose -20/3*b**5 + 16/3*b + 64/3*b**2 + 0 + j*b**3 - 8/3*b**4 = 0. Calculate b.
-1, -2/5, 0, 2
Let m be ((-17)/51)/((-1)/12). Factor 0*w**2 + 0*w**3 + 2*w**3 - 13*w**4 - 2*w + 11*w**m + 2*w**2.
-2*w*(w - 1)**2*(w + 1)
Suppose -b + 4 = -l + 3*b, 0 = 5*l - b + 39. Let x be 0 - 0 - (2 - (-52)/l). Suppose 9/2*t + 1/6*t**3 + x + 3/2*t**2 = 0. What is t?
-3
Find g such that -8*g**2 - 29*g**3 - 6*g**5 + 2*g**4 + 41*g**3 + 3*g**5 = 0.
-2, 0, 2/3, 2
Let r be (-225)/(-81) + 20/90. Find l, given that 0*l**2 + 0*l - 9/4*l**r + 0 + 3/4*l**4 = 0.
0, 3
Let s = -16378/9 - -1820. Solve 4/9*p**2 + 2/9*p**3 + 0 + s*p = 0.
-1, 0
Suppose 0 = -21*a - 39 + 165. Suppose 4*m - 6 - 2 = 0. Factor -d**3 - 3*d**m - d**3 + 5*d**2 + a*d**2 - 8*d.
-2*d*(d - 2)**2
Let s(w) = -11*w - 161. Let l be s(-15). Let q(b) be the first derivative of -6 - 3/2*b + 3/4*b**l + b**3 - 3/4*b**2 - 3/10*b**5 - 1/4*b**6. Factor q(p).
-3*(p - 1)**2*(p + 1)**3/2
Let g = 187 - 183. Let t(c) be the first derivative of 4/3*c**3 - 1/2*c**g - 4 - 2*c + 1/6*c**6 - 2/5*c**5 + 1/2*c**2. What is h in t(h) = 0?
-1, 1, 2
Solve 103 - 146 + 83 - 2*i**2 + 38*i = 0.
-1, 20
Suppose 0 + 10/19*d**3 + 6/19*d + 2/19*d**4 + 14/19*d**2 = 0. What is d?
-3, -1, 0
Let h(a) = 9*a + 20*a - 5*a + 27*a**3 + 4*a - 116*a**2 + 45*a**4. Let o(w) = -15*w**4 - 9*w**3 + 39*w**2 - 9*w. Let j(v) = -3*h(v) - 8*o(v). Factor j(p).
-3*p*(p - 1)*(p + 2)*(5*p - 2)
Let m(q) be the second derivative of 21*q**6/5 - 339*q**5/10 - 331*q**4/3 - 356*q**3/3 - 56*q**2 + 57*q - 3. Suppose m(a) = 0. Calculate a.
-2/3, -2/7, 7
Let 153*g**2 - 2*g - 148*g**2 + 72*g = 0. What is g?
-14, 0
Factor 0*k - 2/9*k**4 + 0 - 112/9*k**3 - 1568/9*k**2.
-2*k**2*(k + 28)**2/9
Let g(j) = -j**3 + 5*j**2 - 17*j + 88. Let v be g(5). Determine i, given that 0*i + 0*i**2 + 6/5*i**v + 0 + 1/5*i**4 = 0.
-6, 0
Let i(n) = 2*n**2 - 7*n**2 - 2*n**4 - 4 - 3. Let v = -57 + 54. Let a(u) = -u**4 - 2*u**2 - 3. Let c(g) = v*i(g) + 7*a(g). Determine f, given that c(f) = 0.
-1, 0, 1
Solve 0 + 35/3*p + 5/3*p**3 + 40/3*p**2 = 0 for p.
-7, -1, 0
Let b = 901 + -899. Let m(w) be the third derivative of 0*w**3 - 1/420*w**7 + 0*w**4 - 6*w**b + 0*w - 1/240*w**6 + 0 + 0*w**5. Factor m(s).
-s**3*(s + 1)/2
Let r(i) = -i**2 + 1. Let t(k) = 5*k**2 + 3*k. Let x(q) = 3*r(q) + t(q). Let j be x(-1). Suppose 2/13*f + 0*f**j - 2/13*f**3 + 0 = 0. Calculate f.
-1, 0, 1
Suppose 5*h = 5*n, -3*h + h = 4*n. Let u(s) be the first derivative of 3 + h*s**2 + 2/3*s - 2/9*s**3. Find i such that u(i) = 0.
-1, 1
Let r = 808 - 802. Let c(a) be the first derivative of 2/15*a**r + 0*a - 1 - 3/5*a**3 - a**5 + 21/10*a**4 + 0*a**2. Let c(j) = 0. What is j?
0, 1/4, 3
Let x(p) = 102*p**2 + 273*p + 63. Let h(k) = 25*k**2 + 68*k + 15. Let d(o) = 9*h(o) - 2*x(o). Solve d(c) = 0 for c.
-3, -1/7
Factor -3*c**4 - 2*c**4 - 205*c**3 + 399*c**3 + 15*c**2 - 204*c**3.
-5*c**2*(c - 1)*(c + 3)
Let l be 0*8/(-4 + 12). Factor l*p**2 + 0 + 10*p - 5/2*p**3.
-5*p*(p - 2)*(p + 2)/2
Let v(b) = -b**4 + 3*b**3 + 2*b + 2. Let g = -118 - -116. Let j = 3 + -6. Let x(l) = l**4 - 3*l**3 - l**2 - 3*l - 3. Let w(t) = g*x(t) + j*v(t). Factor w(y).
y**2*(y - 2)*(y - 1)
Let i(r) be the second derivative of r**7/14 + r**6/2 + 3*r**5/5 + 15*r + 1. Solve i(y) = 0.
-4, -1, 0
Let m be 21/(-648)*((-6)/(-4))/(-1). Let d = m - -1/16. Factor -2/9*a - 1/9 - d*a**2.
-(a + 1)**2/9
Let q(x) be the second derivative of -x**6/10 + 21*x**5/20 - 17*x**4/4 + 17*x**3/2 - 9*x**2 + 8*x. What is r in q(r) = 0?
1, 2, 3
Suppose -896/19*w + 512/19 + 16/19*w**3 + 392/19*w**2 - 22/19*w**4 - 2/19*w**5 = 0. Calculate w.
-8, 1, 2
Suppose -3*o - 76 = o. Let t = -17 - o. Factor 5*s**2 - 19*s**t + s**3 + 2*s + 11*s**2.
s*(s - 2)*(s - 1)
Let c = -30/1441 - -11618/4323. Let 14/3*j**5 - 8/3*j + 0 + c*j**2 + 52/3*j**4 + 18*j**3 = 0. What is j?
-2, -1, 0, 2/7
Find x, given that 6*x + 5*x - 10*x**2 - 5*x**3 - 11*x + 5*x + 10 = 0.
-2, -1, 1
Factor 110*o**4 + 112*o**4 - 224*o**4 + 4*o**3.
-2*o**3*(o - 2)
Let z be (-742)/7 + -3 - 3. Let c be 6*1 + z/21. Factor -c + 1/3*k + 1/3*k**2.
(k - 1)*(k + 2)/3
Factor 237 - 25*b**3 + 199 + 2174*b**2 - 28 + 396*b**2 - 2044*b.
-(b - 102)*(5*b - 2)**2
Let m = -22 + 28. Let h be (-1 + 13)*2/m. Factor h*b**4 + 4*b**2 - 20*b**4 - 10*b**3 + 10*b**4.
-2*b**2*(b + 2)*(3*b - 1)
Let x(l) be the first derivative of -2/5*l**2 - 6 + 1/15*l**3 + 3/5*l. Factor x(m).
(m - 3)*(m - 1)/5
Let c(j) = 9*j**2 + 92*j - 2111. Let a(i) = -2*i**2 - 1. Let h(f) = -10*a(f) - 2*c(f). Solve h(q) = 0.
46
Let k(x) be the third derivative of -x**5/240 - 5*x**4/24 - x**2 - 165. Factor k(h).
-h*(h + 20)/4
Let i(q) = q**5 + 5*q**4 + 22*q**3 + 12*q**2. Let h(n) = 5*n**4 + 23*n**3 + 11*n**2. Let s(u) = 4*h(u) - 3*i(u). Determine z so that s(z) = 0.
-2, -1/3, 0, 4
Let q(h) = h**2 + 1. Let k(x) = -x - 32. Let c be k(-14). Let g(a) = -3*a**3 + 33*a**2 - 24*a + 30. Let l(f) = c*q(f) + g(f). Factor l(t).
-3*(t - 2)**2*(t - 1)
Let b = -1235 - -3707/3. Factor b*f**2 - 2 + 4/3*f.
2*(f - 1)*(f + 3)/3
Let f(u) be the first derivative of u**7/1120 + u**6/96 + u**5/20 + u**4/8 + 10*u**3/3 + 10. Let q(r) be the third derivative of f(r). Factor q(d).
3*(d + 1)*(d + 2)**2/4
Factor 1945*x + 6*x**4 - 2*x**4 + 568 - 572*x**2 - 2509*x + 564*x**3.
4*(x - 1)*