 What is g?
-26
Let q = -28 + 484/17. Let v be ((-20)/(-595))/((-12)/504*-12). Factor 16/17*y + 2/17*y**5 + v*y**2 + q - 10/17*y**3 - 2/17*y**4.
2*(y - 2)**2*(y + 1)**3/17
Suppose -3*x = 3*x - 120. Determine c so that -10 + 0 - 4*c - 8*c**3 + 2 + x*c**2 = 0.
-1/2, 1, 2
Let b = 179 - 67. Let g = -56 + b. Solve w + 27*w**5 - 7*w**5 + 104*w**3 + 76*w**4 + 0*w + g*w**2 + 3*w - 4 = 0 for w.
-1, 1/5
Let h = 173 - 164. Let j = h + -6. Suppose 1/2*b**j + 0*b + b**4 + 1/2*b**5 + 0*b**2 + 0 = 0. Calculate b.
-1, 0
Let w(z) be the first derivative of -z**3/9 + 43*z**2/3 + 29*z + 156. Factor w(p).
-(p - 87)*(p + 1)/3
Let i(p) be the third derivative of p**5/40 - 3*p**4/8 - 54*p**2 - 1. Determine j, given that i(j) = 0.
0, 6
Let y(f) be the first derivative of -10*f**6/51 + 94*f**5/85 - 22*f**4/17 - 46*f**3/51 + 6*f**2/17 - 50. Let y(t) = 0. What is t?
-1/2, 0, 1/5, 2, 3
Let a(n) be the first derivative of n**9/756 - n**7/105 + n**5/30 + 8*n**3/3 - 1. Let y(b) be the third derivative of a(b). Solve y(j) = 0 for j.
-1, 0, 1
Let b(w) = -w**3 - w**2 - w. Let n = -44 + 48. Let j(z) = -6*z**3 + 17*z**2 - 3*z. Let q(o) = n*b(o) + 4*j(o). Solve q(v) = 0.
0, 2/7, 2
Suppose -755 + 770 = 5*d. Factor 8/5*f**4 + 0 - 2/5*f**2 + 6/5*f**d + 0*f.
2*f**2*(f + 1)*(4*f - 1)/5
Let z(w) = -33*w + 0*w**3 + 1 + 5*w**2 + w**3 + 28*w. Let x be z(-5). Factor -2*a**2 + 6*a - 1 + 12*a - a**2 - x.
-3*(a - 3)**2
Let -3 - 87/5*i - 117/5*i**2 + 27/5*i**3 = 0. What is i?
-1/3, 5
Let u(t) = t**2 + 8*t - 6. Let d be u(-9). Suppose -2*n + d*h + 5 = 0, -2 = h - 3. Factor n*p - 5*p**3 - 7*p + 9*p**2 + 17*p**3.
3*p*(p + 1)*(4*p - 1)
Suppose 45*t + 24*t - 248 = 7*t. Determine g so that 100/19*g**3 - 78/19*g**t + 88/19*g**2 - 126/19*g**5 + 16/19*g + 0 = 0.
-2/3, -2/7, 0, 1
Let o be 2*7/(-63) - -4*48/135. Determine l, given that -4/5*l**4 + o*l**3 + 8/5*l**2 - 4/5 - 6/5*l = 0.
-1, -1/2, 1, 2
Suppose -11153*n - 21 = -11160*n. Factor 8/13*b**n + 0 - 6/13*b**2 + 0*b.
2*b**2*(4*b - 3)/13
Factor -225*u**2 - 57*u + 23*u - 216*u**2 - 4 - 50*u.
-(21*u + 2)**2
Suppose -2*c = 3*t + 4 - 2, -21 = -5*c - t. Let u(y) be the first derivative of 8/75*y**c + 0*y + 8 - 1/15*y**2 + 4/15*y**3 - 3/10*y**4. Factor u(a).
2*a*(a - 1)**2*(4*a - 1)/15
Let b(q) be the first derivative of 0*q**5 - 7 - 10/3*q**3 + 5*q**4 - 5/6*q**6 - 15/2*q**2 + 10*q. Factor b(a).
-5*(a - 1)**3*(a + 1)*(a + 2)
Let n be (-5 + 9)*(-359)/(-20)*-2. Let i = -143 - n. Solve -6/5*l**3 + 0*l - 3/5*l**2 - i*l**4 + 0 = 0 for l.
-1, 0
Let z(c) = -10*c**4 + 40*c**3 + 80*c**2 + 30*c + 15. Let w = -11 - -26. Let h(p) = -p**4 + p**2 - 1. Let m(r) = w*h(r) + z(r). Factor m(x).
-5*x*(x - 3)*(x + 1)*(5*x + 2)
What is z in -z**4 - z**2 - 317*z + 85*z + 2*z**4 + 50*z**3 + 86*z + 96*z = 0?
-50, -1, 0, 1
Let f = 7205 + -7201. Suppose 0*r - 4/13*r**2 + 2/13*r**3 + 0 + 10/13*r**5 + 16/13*r**f = 0. What is r?
-1, 0, 2/5
Let a be 8075/4522 + (2*(0 - 1))/7. Factor 3*l + a*l**2 - 6 - 3/4*l**3.
-3*(l - 2)**2*(l + 2)/4
Let t(l) be the first derivative of -l**3/7 - 267*l**2/7 - 23763*l/7 + 148. Let t(v) = 0. Calculate v.
-89
Let n(f) = -9*f**4 - 92*f**3 - 74*f**2 + 106*f + 90. Let x(g) = 3*g**4 + 31*g**3 + 25*g**2 - 35*g - 30. Let i(t) = -2*n(t) - 7*x(t). Factor i(a).
-3*(a - 1)*(a + 1)**2*(a + 10)
Let l(v) = -v + 18. Let p be l(13). Suppose 7*z**3 - 9*z**2 - 10*z**3 + p*z - z**2 - 12*z**3 = 0. Calculate z.
-1, 0, 1/3
Let q(r) be the third derivative of r**7/210 + 4*r**6/75 + 37*r**5/300 + r**4/12 - 2*r**2 - 71*r. Determine o so that q(o) = 0.
-5, -1, -2/5, 0
Let s(l) be the first derivative of -2/27*l**3 + 0*l**4 + 0*l + 0*l**2 + 1 + 2/45*l**5. Determine c, given that s(c) = 0.
-1, 0, 1
Let a(v) be the second derivative of -2/9*v**3 + 1/36*v**4 + 22*v - 2/3*v**2 + 0 + 1/60*v**5. Find o, given that a(o) = 0.
-2, -1, 2
Factor -5*s**2 - 1/2*s**3 - 33/2*s - 18.
-(s + 3)**2*(s + 4)/2
Let c = -619 - -615. Let p(q) = -2*q**2 + 4*q + 2. Let r(s) = -3*s + 0*s + 2*s. Let x(g) = c*r(g) - p(g). Let x(k) = 0. Calculate k.
-1, 1
Suppose 214*k - 418*k - 12 = -208*k. Factor -k*x - 1/6*x**2 - 27/2.
-(x + 9)**2/6
Let x(r) be the first derivative of -5*r**4 + 76*r**3/3 - 44. Factor x(k).
-4*k**2*(5*k - 19)
Let k be 7*(-2 - (-32)/14). Suppose 3*p - 17 = -t, 4 = -k*p + 3*t - 3. Factor 0*q**2 + 0*q + 0 - 1/4*q**3 + 1/2*q**p.
q**3*(2*q - 1)/4
Let h(b) = -32*b**3 + b**2 - b - 1. Let y be h(-2). Factor x**2 - 261 - 2*x**3 - 3*x**4 + y.
-x**2*(x + 1)*(3*x - 1)
Suppose -5*z = -25, 0*b + 2*z = b + 2. Suppose 3*q = b*q - 5*u - 45, -4*q + 21 = -u. Factor -2*a - 6*a**3 - 6*a + 4*a**4 + 0*a - 3*a**q + 12*a**2.
a*(a - 2)**3
Factor 2347*a**3 - 3*a - 1 - 2345*a**3 + a + a**2.
(a - 1)*(a + 1)*(2*a + 1)
Let x(c) = -21*c**2 - 689*c + 186. Let j(r) = -10*r**2 - 345*r + 94. Let w(n) = -7*j(n) + 3*x(n). Factor w(u).
(u + 50)*(7*u - 2)
Let r(b) = b**2 + 6*b + 9. Let m(n) = 9*n**2 + 42*n + 63. Let x(z) = 2*m(z) - 15*r(z). Factor x(d).
3*(d - 3)*(d + 1)
Let d = 1361 + -1358. Factor -3/4*b**5 - 3/2*b**2 + 0*b**d + 3/4*b + 0 + 3/2*b**4.
-3*b*(b - 1)**3*(b + 1)/4
Let r(x) = x + 2. Let o be r(2). What is c in 6 + 2*c**2 - 13 + 9 + o*c = 0?
-1
Solve 41421736/17*p + 1384/17*p**3 - 359148/17*p**2 - 1791490082/17 - 2/17*p**4 = 0 for p.
173
Let b(q) be the third derivative of -41*q**6/80 + 2*q**5 + q**4/4 - 322*q**2. Factor b(y).
-3*y*(y - 2)*(41*y + 2)/2
Suppose 3*q - a = 3, -a = -4*a. Let p be (2 + -3)/(q/(-2)). Factor -2*b**2 + 3*b**3 - 2*b**3 + 2*b**2 + b**p.
b**2*(b + 1)
Let b = 461767/33 - 13989. Let s = b - 36/11. Factor -5*t + s + 11*t**2 - 20/3*t**3.
-(t - 1)*(4*t - 1)*(5*t - 2)/3
Let t = -30 + 300. Let u be t/63 + 0 + -4. Factor 4/7 - 2/7*v**2 + u*v.
-2*(v - 2)*(v + 1)/7
Let j(q) be the third derivative of -1/40*q**6 - q**3 - 10*q**2 + 0 - 1/5*q**5 - 5/8*q**4 + 0*q. What is m in j(m) = 0?
-2, -1
Let z be 3 + 0 + -2 + -1. Suppose z*y - 3*c = y - 17, 0 = 2*y + 5*c - 29. Factor 4*l + y*l + 2*l**2 - 4*l - 10*l**3 + 6*l**4 + 0*l**2.
2*l*(l - 1)**2*(3*l + 1)
Let f be 14/(-2) - (-1 + 0). Let m be 4/f - (-26)/3. Solve -j**2 - 14*j**3 - 2*j**2 + m*j**4 - j**2 = 0 for j.
-1/4, 0, 2
Suppose 83 = 20*s - 37. Let w(c) be the second derivative of 0 - 3/4*c**5 + 1/10*c**s + 2*c**4 + 0*c**2 + 5*c - 2*c**3. Let w(u) = 0. What is u?
0, 1, 2
Let u be (-2*6/20)/(60/(-272 + -28)). Factor -2/3*l**2 + 2/3 + 1/3*l - 1/3*l**u.
-(l - 1)*(l + 1)*(l + 2)/3
Suppose 18*u - 480 = 2*u. Solve 90*l - 26*l - 29*l - u*l - 10*l**2 + 5*l**3 = 0 for l.
0, 1
Factor 14*r**2 - 9*r - 18*r**2 + 34*r + 3*r.
-4*r*(r - 7)
Suppose 3*w = m - 0*m + 3, 4*m + 4*w = 36. Let h be 0 - (m + -7) - 1. Find u, given that h*u - 4/7 + 1/7*u**2 = 0.
-2, 2
Let 22/21*h + 0 + 46/21*h**2 + 4/21*h**3 = 0. Calculate h.
-11, -1/2, 0
Suppose 4*i + 12 = -0. Let p be i - (1 + -1*8). Factor -p*f**2 + f**2 + f**2 + 5*f**2.
3*f**2
Let m(t) be the second derivative of -t**4/6 - 5*t**3/2 + 5*t**2 + 34*t. Let a be m(-8). Solve -1/3*b**4 + 0*b - 2/3*b**3 - 1/3*b**a + 0 = 0.
-1, 0
Determine a, given that 10/11 - 2/11*a**2 + 8/11*a = 0.
-1, 5
Let i(q) = -4*q + 15. Let l be i(2). Let g(v) = 7*v**3 - 24*v**2 + 17*v. Let k(y) = -15*y**3 + 48*y**2 - 33*y. Let s(t) = l*g(t) + 3*k(t). Factor s(c).
4*c*(c - 5)*(c - 1)
Let w(x) be the second derivative of -x**5/35 - 5*x**4/21 + 2*x**3/21 + 10*x**2/7 - 111*x. Factor w(g).
-4*(g - 1)*(g + 1)*(g + 5)/7
Let j = -2541 - -27957/11. Let 2/11*k**2 - j*k + 0 = 0. Calculate k.
0, 3
Factor -406 + 396 - 6*k**4 + 5*k + 13*k**2 + k**4 + 2*k**2 - 5*k**3.
-5*(k - 1)**2*(k + 1)*(k + 2)
Let s be (-1 - (-2 - -1)) + 2. Let z = 2041 - 4061/2. Solve 27/2*n**s + z*n - 3 = 0 for n.
-1, 2/9
Suppose 10*h - 2*h = 128. Let n = 18 - h. Find t, given that 10*t + 8*t**2 + n*t + 0*t - 4*t**3 = 0.
-1, 0, 3
Determine p, given that -4/19*p**3 + 2/19*p + 36/19*p**4 + 36/19 + 2/19*p**5 - 72/19*p**2 = 0.
-18, -1, 1
Factor -19*x**2 + 81*x**2 + 125 - 28*x**2 - 29*x**2 + 130*x.
5*(x + 1)*(x + 25)
Determine g, given that 44/9*g**3 + 2*g + 40/3*g**2 + 0 + 338/9*g**5 - 520/9*g**4 = 0.
-3/13, 0, 1
Let q be 4 - 5 - (4/16 - 3). Let p(a) be the second derivative of 0 + 9/20*a**5 - 3/2*a**3 - 3*a + 1/2*a**6 + 3*a**2 - q*a**4. Solve p(k) = 0.
-1, 2/5, 1
Let d = 39/25 + -443/300. Let p(t) be the first derivative of d*t**4 - 2/3*t + 0*t**3 - 1/2*t**2 - 7. Find n, given that p(n) = 0.
-1, 2
Let a(z)