iven that -25*x**2 - 30*x + 90*x**3 + 14*x**3 - 49*x**3 = 0.
-6/11, 0, 1
Suppose 322 = 9*z + 7. Let u be (-10)/z + (-100)/(-56). Suppose -9/2*g**4 - 3/2*g**2 + 0 + 15/2*g**3 - u*g = 0. Calculate g.
-1/3, 0, 1
Suppose -5*n = w + 129 - 114, 0 = 3*n + 9. Factor -2/9*v**2 + 2/9 + w*v.
-2*(v - 1)*(v + 1)/9
Let i be (-15)/25 - (-2 + 2 - 1). Let r = -8 + 10. Factor 1/5*x**4 - i*x**r + 0*x**3 + 1/5 + 0*x.
(x - 1)**2*(x + 1)**2/5
Let z(w) = w**3 + 2162*w**2 + 254893*w + 10110954. Let i(j) = j**3 + 1079*j**2 + 127447*j + 5055477. Let m(g) = 5*i(g) - 2*z(g). Factor m(v).
3*(v + 119)**3
Let x(u) = 3*u + 13. Let i be x(-5). Let v be ((-45)/6)/3*i. Solve 4/11*l**2 - 2/11*l**3 + 2/11*l**v - 4/11*l**4 + 0*l + 0 = 0 for l.
-1, 0, 1, 2
Let m = 64 + -41. Let n = 23 - m. Factor -4*p**2 - 5*p + 6*p + 2 + p + n*p**2.
-2*(p - 1)*(2*p + 1)
Let f(k) be the third derivative of 5/18*k**4 + 0 + 9*k**2 - 1/90*k**6 + 0*k - 1/45*k**5 - 2/3*k**3. Factor f(o).
-4*(o - 1)**2*(o + 3)/3
Let h be (-22)/(-28) + (-82)/287. Factor -1/2*a**4 - a**3 + a**2 + 1/2*a - h + 1/2*a**5.
(a - 1)**3*(a + 1)**2/2
Suppose 0 = -u + 5 - 1. Suppose 124 = -5*s - u*j + 354, -j = 4*s - 195. What is n in 13 + 60*n**2 - 72*n - 3 - 6 + s*n**3 + 12 = 0?
-2, 2/5
Let y(d) = -d**2 + 31*d + 104. Let p be y(33). Suppose 5*h + 3*h**3 - 24*h**2 + p*h + 5*h = 0. Calculate h.
0, 4
Let x(i) be the third derivative of i**5/105 - 17*i**4/42 + 32*i**3/21 + 4*i**2 - 20*i. Find u, given that x(u) = 0.
1, 16
Let u(o) be the third derivative of -o**5/15 - 5*o**4/3 + 22*o**3/3 + 19*o**2 + 1. Determine r, given that u(r) = 0.
-11, 1
Let f = -5/588 + 1201/2940. Factor -8/5 - f*l**3 + 0*l + 6/5*l**2.
-2*(l - 2)**2*(l + 1)/5
Let s be (-96)/126 - 4/(-3). Let r = -243/7 + 35. Suppose -r + s*x - 2/7*x**2 = 0. What is x?
1
Let t be ((-34)/4 + 0)*16/(-152). Let u = t + 103/76. Let u*g + 0*g**2 - 3/2 - 3/4*g**3 = 0. What is g?
-2, 1
Let u(y) be the second derivative of y**5/10 + 5*y**4/3 + 25*y**3/3 - 3*y - 21. Factor u(g).
2*g*(g + 5)**2
Suppose 104883 - 104871 = 4*c. Suppose 2/5*a - 2/5*a**c - 2/5*a**4 + 6/5*a**2 - 4/5 = 0. Calculate a.
-2, -1, 1
Factor w**2 + w**2 - 15*w - 27*w.
2*w*(w - 21)
Let v be (-6)/54*3*-155. Let m = v + -1079/21. Determine q, given that -2*q**2 - 18/7 + 30/7*q + m*q**3 = 0.
1, 3
What is q in -453/5*q**2 - 123*q**3 - 21/5*q**5 - 24/5*q + 12 - 267/5*q**4 = 0?
-10, -1, 2/7
Let h be 7/(-7) + 309/1857*6. Let y = 12997/1238 - h. Factor 3/2 - 3*u - 6*u**3 - y*u**2.
-3*(u + 1)**2*(4*u - 1)/2
Let v(g) = -100*g**3 - 560*g**2 - 505*g - 45. Let q(h) = -9*h**3 - 51*h**2 - 46*h - 4. Let t(w) = -45*q(w) + 4*v(w). Determine i so that t(i) = 0.
-10, -1, 0
Suppose -3*p = -4*p - 51. Let h = -149/3 - p. Suppose -2/3 - 5/3*j - 2/3*j**2 + 1/3*j**5 + 4/3*j**4 + h*j**3 = 0. What is j?
-2, -1, 1
Let c be ((-6)/14)/(390/(-546)). Let m(a) be the first derivative of -5 + 9/5*a - c*a**2 - 1/5*a**3. What is n in m(n) = 0?
-3, 1
Let k(m) be the third derivative of m**6/30 + 23*m**5/5 + 262*m**2. Determine s so that k(s) = 0.
-69, 0
Let f be ((-270)/35)/((-180)/56 + 3). Let n be (f/(-90))/(6/(-5)). Factor 0 - 2/3*z - z**4 + z**2 + 1/3*z**5 + n*z**3.
z*(z - 2)*(z - 1)**2*(z + 1)/3
Let t(a) be the third derivative of a**5/60 + a**4/3 + 7*a**3/6 + 31*a**2 - 2. Let t(v) = 0. What is v?
-7, -1
Determine k, given that k**5 - 3*k**2 - 12*k**5 - 31*k**4 + 7*k**2 - 626*k**3 + 610*k**3 = 0.
-2, -1, 0, 2/11
Let a(k) be the first derivative of k**5/10 + k**4/2 + 2*k**3/3 + 8*k + 7. Let h(w) be the first derivative of a(w). Suppose h(i) = 0. What is i?
-2, -1, 0
Factor 62/3*f**2 + 64/3*f - 24 + 2*f**3.
2*(f + 2)*(f + 9)*(3*f - 2)/3
Let x(q) be the third derivative of q**6/120 + 7*q**5/20 + 5*q**4 + 50*q**3/3 - 4*q**2 - 23*q. Determine a so that x(a) = 0.
-10, -1
Let c(g) be the second derivative of -g**8/10080 - g**7/1680 - g**6/720 - g**5/720 + 19*g**3/6 - g. Let a(s) be the second derivative of c(s). Factor a(v).
-v*(v + 1)**3/6
Let z(o) be the first derivative of -2*o**6/3 - 4*o**5 - 8*o**4 - 16*o**3/3 + 61. Solve z(u) = 0.
-2, -1, 0
Let z(w) be the first derivative of 1/15*w**2 - 1/45*w**6 - 15 + 0*w + 0*w**4 - 4/45*w**3 + 4/75*w**5. Factor z(c).
-2*c*(c - 1)**3*(c + 1)/15
Suppose 5*u - 35 - 5 = 0. Factor -u*x**2 - 5*x - 5*x - 7*x**2.
-5*x*(3*x + 2)
Let g be (177/15 - 3) + 92 + -100. Let -2/5 + g*v - 2/5*v**2 = 0. What is v?
1
Let f(k) = -3*k + 1. Let c be f(-7). Find p such that -20*p**4 + 5*p**3 + 5*p**5 - 9*p + 27*p**4 - c*p**4 + 15*p**2 - p = 0.
-1, 0, 1, 2
Let y(f) be the third derivative of -3*f**6/40 - f**5/4 - f**4/8 + f**3/2 + 3*f**2 - 15*f. Factor y(k).
-3*(k + 1)**2*(3*k - 1)
Let m be (-1185)/(-25) - (-3)/5. Let z = 48 - m. Solve z - 1/3*r**4 + 0*r - 2/3*r**3 + r**2 = 0 for r.
-3, 0, 1
Suppose -41 = 47*j - 229. Let a(x) be the third derivative of 0*x**5 + 0 - 9*x**2 + 3/112*x**8 + 0*x**j + 0*x - 1/70*x**7 - 1/20*x**6 + 0*x**3. Factor a(k).
3*k**3*(k - 1)*(3*k + 2)
Let d(w) be the second derivative of -w**7/280 + w**5/40 + w**3/6 + 9*w. Let k(c) be the second derivative of d(c). Find v such that k(v) = 0.
-1, 0, 1
Let o(v) be the third derivative of -1/30*v**5 + 10*v**2 + 7/24*v**4 + 0 - 7/120*v**6 + 1/3*v**3 + 0*v. What is z in o(z) = 0?
-1, -2/7, 1
Factor 0 - o**2 + 1/3*o - 4/3*o**3.
-o*(o + 1)*(4*o - 1)/3
Factor -15*q - 202 + 15*q**3 + 404 - 5*q**4 - 202 + 5*q**2.
-5*q*(q - 3)*(q - 1)*(q + 1)
Let k(b) be the first derivative of -8 + 6*b**2 + 0*b + 4*b**3 + 3/4*b**4. Suppose k(u) = 0. Calculate u.
-2, 0
Let r(q) = -q**2 + 95*q - 273. Let z be r(3). Factor -f**2 + 11/9*f + 1/9*f**4 + 1/9*f**z - 4/9.
(f - 1)**3*(f + 4)/9
Let b(t) = 5*t**2 + 2*t - 1. Let m be b(1). Suppose m = 2*i + 2. Determine w so that -1/7*w**i - 2/7*w + 3/7 = 0.
-3, 1
Let a(j) be the third derivative of j**7/105 - 3*j**6/20 + j**5/2 - 7*j**4/12 + 5*j**2 - 1. Factor a(z).
2*z*(z - 7)*(z - 1)**2
Let p(d) be the first derivative of d**6/21 - 4*d**5/7 + 13*d**4/14 + 40*d**3/7 + 36*d**2/7 + 134. Find w, given that p(w) = 0.
-1, 0, 6
Let k be ((-12)/9648)/(1/(-209)). Let h = k + -2/201. What is a in 0 - 1/4*a**2 + h*a = 0?
0, 1
Let w(l) = l**3 + 65*l**2 - 305*l + 505. Let f(t) = 64*t**2 - 304*t + 504. Let h = -36 - -31. Let x(s) = h*f(s) + 4*w(s). Factor x(d).
4*(d - 5)**3
Let h = -24 + 41. Suppose -4*f = -h + 5. Factor -1/6*t**2 + 1/6*t**4 + 0 + 0*t**f + 0*t.
t**2*(t - 1)*(t + 1)/6
Determine g, given that 1 - 20*g**2 - 1 - 6224*g**3 + 15*g + 6229*g**3 = 0.
0, 1, 3
Let w be 292/2190*(-200)/(-6). Determine m so that -4/9*m**2 - w*m - 100/9 = 0.
-5
Factor -204/5*a + 10404/5 + 1/5*a**2.
(a - 102)**2/5
Let m(k) be the first derivative of k**4/22 - 2*k**3/11 - k**2/11 + 6*k/11 - 38. Factor m(s).
2*(s - 3)*(s - 1)*(s + 1)/11
Suppose -6*f = 3*l - 4*f - 86, 5*f = -l + 20. Factor -1 + 1 - l*r**3 - 45*r**2 - 5*r**4 - 41*r + 21*r.
-5*r*(r + 1)**2*(r + 4)
Let v be ((-512)/6)/(10/(-15)). Let r be 144/v*2/3. Factor 0*x - 3/4*x**2 + r.
-3*(x - 1)*(x + 1)/4
Let j = 452 + -2257/5. Let s(b) = 4*b**2 + b. Let g be s(-1). Suppose 0 + 3/5*p + 3/5*p**4 - 3/5*p**2 - j*p**g = 0. Calculate p.
-1, 0, 1
Let y(a) be the first derivative of 2*a**3/3 + 3*a**2 - 6*a + 36. Let v be y(-4). Determine g so that -4/5*g + 0 - 2/5*g**v = 0.
-2, 0
Suppose -j = -k + 11, -2*k + 3*j + 14 + 10 = 0. Let o be ((-6)/k)/(4 + -6). Factor 0*n + 0 + 0*n**3 - 1/3*n**2 + o*n**4.
n**2*(n - 1)*(n + 1)/3
Let w be 25/35 + (-4)/(-14) - -1. Let n(f) be the second derivative of -3/20*f**5 + 0 - 1/2*f**4 + 1/2*f**3 + f + 3*f**w. Find u such that n(u) = 0.
-2, -1, 1
Let h(s) be the second derivative of 1/25*s**5 + 0 + s**3 + 9/10*s**2 - 23/60*s**4 - 11*s. Suppose h(r) = 0. What is r?
-1/4, 3
Let 2/21*m**2 + 12/7*m + 54/7 = 0. What is m?
-9
Suppose 5*z = -2*i + 14, -2*i + 4*z + z - 26 = 0. Let l be (i/4)/(4/(-18)). Let -3/8*d**5 + 3/4*d**3 + 0 + 9/2*d**2 - l*d - 3/2*d**4 = 0. Calculate d.
-3, 0, 1
Let s(b) be the third derivative of b**5/240 - b**4/16 - 2*b**3/3 - 23*b**2 + 2. Factor s(h).
(h - 8)*(h + 2)/4
Suppose 0 + 0*j - 4/3*j**4 - 4*j**2 - 20/3*j**3 + 4/3*j**5 = 0. Calculate j.
-1, 0, 3
Let t(s) = s + 13. Suppose -5*q + 15 = -3*u, -4*u = 4*q + q + 55. Let d be t(u). Suppose 0 + 10/7*b**2 + 2/7*b**d - 10/7*b**4 - 2/7*b = 0. What is b?
-1, 0, 1/5, 1
Let -1/5*g**3 + 0 + 0*g + 8/5*g**2 = 0. What is g?
0, 8
Solve -1/2*y**5 + 7