0.
-2, 0, 3/5
Let l = -12540 - -12542. Find w, given that -4/5 + 0*w + 1/5*w**l = 0.
-2, 2
Let d = 306 + -172. Let r = d - 398/3. Factor -r - 4/3*c - 1/3*c**2.
-(c + 2)**2/3
Factor -4/7 + 2/7*u**2 - 2/7*u.
2*(u - 2)*(u + 1)/7
Let 2*z**5 - 85 + 3*z**5 - 739*z**3 + 0*z**5 - 175*z + 909*z**3 - 10*z**2 + 95*z**4 = 0. What is z?
-17, -1, 1
Let t(u) be the third derivative of u**9/2520 - u**8/700 + u**6/150 - u**5/100 + 5*u**3/2 + 2*u**2. Let y(d) be the first derivative of t(d). Solve y(z) = 0.
-1, 0, 1
Factor -2/9*m**3 + 14/9 - 10/3*m + 2*m**2.
-2*(m - 7)*(m - 1)**2/9
Factor 15 + 12 + 21 - 12*r**2 - 5*r**2 + 18*r + 14*r**2.
-3*(r - 8)*(r + 2)
Let p(m) be the first derivative of -m**6/33 + 32*m**5/55 - 7*m**4/2 + 196*m**3/33 - 57. Determine h so that p(h) = 0.
0, 2, 7
Let j(x) be the third derivative of -13*x**5/30 + 11*x**4/6 + 8*x**3/3 + 5*x**2 - 4*x. Factor j(k).
-2*(k - 2)*(13*k + 4)
Let a be 48 + (6 - 6) + 0. Let f = a - 95/2. Find x, given that 1/2 + 0*x - f*x**2 = 0.
-1, 1
Let k be ((-10)/25)/((-1)/(-10)). Let l be (k - -10) + 2*-1. What is h in -l*h - h**4 - 2*h + 0*h**2 - 5*h**2 + 4*h - 4*h**3 = 0?
-2, -1, 0
Let k be 0/(-1 + 3) - -3. Suppose -2*y - 4 = -k*y. Solve u - u**2 + u + u - y*u = 0 for u.
-1, 0
Factor 20/7 + 6/7*w**4 + 78/7*w**2 - 38/7*w**3 - 66/7*w.
2*(w - 1)**3*(3*w - 10)/7
Let a = -53 + 55. Determine c, given that 8 + 8*c**a - 5 - 7*c**2 + 4*c = 0.
-3, -1
Let j(u) = u**4 - u**3 - u**2 - 1. Let w(v) = 8*v**3 + 16*v**2 - 12*v - 20. Let g(i) = -4*j(i) + w(i). Factor g(y).
-4*(y - 4)*(y - 1)*(y + 1)**2
Suppose 0 = 3*w + 15, 0 = l + 2*l - 4*w - 26. Let f be l - -4 - (-4 + 8). Let 2*t**3 + 6/7*t**f + 6/7*t**4 - 4/7 - 6/7*t = 0. What is t?
-1, 2/3
Solve -1/5*i**2 + 2/5*i + 48/5 = 0 for i.
-6, 8
Let j(d) = -143*d - d**2 + 279*d - 144*d. Let p be j(-8). Solve p - 2/7*b + 2/7*b**2 = 0.
0, 1
Factor -2/5*x**4 + 0*x + 0 - 4/5*x**3 - 2/5*x**2.
-2*x**2*(x + 1)**2/5
Factor -20 + 5/3*x**2 - 55/3*x.
5*(x - 12)*(x + 1)/3
Find q, given that -1275*q - 252*q**2 + 4*q**3 - 350 + 5367*q - 3494 = 0.
1, 31
Let u(m) be the second derivative of 0*m**5 + 0*m**2 + 1/6*m**3 - 1/8*m**4 + 7*m + 0 + 1/60*m**6. What is i in u(i) = 0?
-2, 0, 1
Let j(t) be the first derivative of -3/4*t**4 - 9/2*t**3 - 5*t**2 + 0*t + 4 - 1/20*t**5. Let y(u) be the second derivative of j(u). Find k such that y(k) = 0.
-3
Let i be -1*29/(-4)*-20. Let l be (-3)/(-6) + i/(-10). Factor l - 83*z**2 - 10*z + 78*z**2 + 0.
-5*(z - 1)*(z + 3)
Suppose 6*i = 2*i + 12. Find d such that -4*d**2 - 2*d + 2*d**5 + 7*d**4 + 3*d - i*d**4 - 3*d = 0.
-1, 0, 1
Determine c, given that 4/3*c**3 - 4/3 - 4/3*c + 1/3*c**4 + c**2 = 0.
-2, -1, 1
Suppose -3*y - 10 = -22. Factor t + 8*t**3 - 13*t**3 + y*t.
-5*t*(t - 1)*(t + 1)
Factor 48 - 64/5*m + 4/5*m**2.
4*(m - 10)*(m - 6)/5
Let q(k) be the first derivative of 25*k**4/4 + 1090*k**3/3 + 635*k**2/2 - 430*k - 286. Factor q(m).
5*(m + 1)*(m + 43)*(5*m - 2)
Let o(p) = -p**3 - 31*p**2 + 46*p - 14. Let f(i) = 5*i**3 + 185*i**2 - 275*i + 85. Let h(t) = 6*f(t) + 35*o(t). Determine x, given that h(x) = 0.
1, 2
Let k be ((-1)/(-3)*6)/((-12)/(-24)). Let h(s) be the first derivative of k*s**3 + 64*s - 24*s**2 - 1/4*s**4 - 1. Determine i so that h(i) = 0.
4
Let y(r) be the third derivative of r**8/1344 + r**7/420 - 7*r**6/480 - r**5/30 + r**4/8 + 241*r**2. Suppose y(u) = 0. Calculate u.
-3, -2, 0, 1, 2
Let m = -249 - -249. Let r(l) be the second derivative of 7/40*l**5 + m + 1/24*l**4 + 1/84*l**7 - 2/3*l**3 + l**2 - 1/12*l**6 - 5*l. Find j such that r(j) = 0.
-1, 1, 2
Let j(w) be the first derivative of -w**5/270 - w**4/18 - w**3/3 - w**2 + 1. Let n(s) be the second derivative of j(s). Let n(u) = 0. What is u?
-3
Let t(w) be the second derivative of -w**10/7560 + w**8/420 + w**7/315 - w**6/60 - w**5/15 - w**4 + 16*w. Let q(r) be the third derivative of t(r). Factor q(m).
-4*(m - 2)*(m - 1)*(m + 1)**3
Let a = 2785/8328 - 3/2776. Let -4/3*i + a*i**2 + 1 = 0. Calculate i.
1, 3
Let l(n) = 3*n**4 - 101*n**3 + 209*n**2 - 103*n + 4. Let c(g) = -g**4 - g**2 - 1. Let h(t) = -4*c(t) - l(t). Factor h(v).
v*(v - 1)**2*(v + 103)
Let t(c) be the first derivative of 2/105*c**6 + 5*c - 4/21*c**3 - 3 + 0*c**2 - 4/35*c**5 + 5/21*c**4. Let m(l) be the first derivative of t(l). Factor m(w).
4*w*(w - 2)*(w - 1)**2/7
Factor -1 + 6*r**2 + 5/2*r.
(3*r + 2)*(4*r - 1)/2
Let r(y) be the second derivative of -y**6/90 - y**5/60 + y**4/12 + y**3/18 - y**2/3 + y + 283. Factor r(d).
-(d - 1)**2*(d + 1)*(d + 2)/3
Let j(m) be the third derivative of -1/105*m**6 + 5*m**2 + 0*m + 1/735*m**7 + 0*m**4 + 1/70*m**5 + 0*m**3 + 0. Factor j(o).
2*o**2*(o - 3)*(o - 1)/7
Let p(t) be the first derivative of 4*t**5/35 + 2*t**4/7 - 4*t**3/21 - 4*t**2/7 - 327. Factor p(z).
4*z*(z - 1)*(z + 1)*(z + 2)/7
Let u = -1113 + 1115. Suppose 3*a**u - 1/3*a**3 - 9*a + 9 = 0. Calculate a.
3
Suppose 19 = -3*s + 5*p, -12*s - p = -10*s - 9. Factor 1/4*y**s + 1/4*y - 1/2.
(y - 1)*(y + 2)/4
Let 36/5*u + 16/5*u**3 + 0 - 2/5*u**4 - 42/5*u**2 = 0. What is u?
0, 2, 3
Let c be 7 + -11 - (-1)/(1/(-66)). Let n be 28/c + 1 + 1. Find o, given that 2/5*o**3 + n*o**2 + 0 + 8/5*o = 0.
-2, 0
Let r(c) = 2*c - 2. Suppose 2 = 3*g - 2*g. Let i be r(g). Suppose -4 + 3 - 2*s + 0 + 3 - i*s**2 + 2*s**3 = 0. Calculate s.
-1, 1
Suppose -17*a + 3*j - 15 = -18*a, 2*j = -3*a + 10. Determine o so that 0*o + a - 88/5*o**4 - 32/5*o**2 - 4*o**5 - 112/5*o**3 = 0.
-2, -2/5, 0
Let l(f) be the first derivative of f**5/10 - f**4 + 19*f**3/6 - 3*f**2 + 148. Find o such that l(o) = 0.
0, 1, 3, 4
Let h be 1 + (-222)/(-60)*2 + 0. Factor 33/5*a**3 + 0*a + 6/5*a**2 + 0 + h*a**4.
3*a**2*(2*a + 1)*(7*a + 2)/5
Let v be 18/(-48)*(2 - 2 - 4). Determine x so that -3*x + 9/2*x**2 - v*x**3 + 0 = 0.
0, 1, 2
Solve 10/11*d - 25/11 - 1/11*d**2 = 0 for d.
5
Let i(h) = 2*h**2 + h. Let o(q) = 2*q**3 + 24*q**2 + 34*q. Let w(z) = 2*i(z) - o(z). Factor w(k).
-2*k*(k + 2)*(k + 8)
Let h = 16498 + -16498. What is f in 8/11*f - 34/11*f**3 + h - 36/11*f**4 + 0*f**2 - 10/11*f**5 = 0?
-2, -1, 0, 2/5
Let v(g) be the third derivative of 7*g**6/30 + 34*g**5/3 - 127*g**4/6 - 100*g**3/3 + 85*g**2 - 1. Factor v(o).
4*(o - 1)*(o + 25)*(7*o + 2)
Factor 0 - 22*g - 1/2*g**2.
-g*(g + 44)/2
Let i(q) be the third derivative of -q**5/72 - 97*q**4/144 + 5*q**3/3 + 284*q**2. Find m such that i(m) = 0.
-20, 3/5
Let t(n) = 35*n**2 - n + 1. Let r be t(-2). Let u be 4/(-26) - (-308)/r. Factor 1/7 + 3/7*a**u + 1/7*a**3 + 3/7*a.
(a + 1)**3/7
Let o(a) be the first derivative of a**6/315 + a**5/210 - a**4/126 - a**3/63 - 6*a + 17. Let j(d) be the first derivative of o(d). Factor j(b).
2*b*(b - 1)*(b + 1)**2/21
What is x in 1/4*x**2 + 0*x - 1 = 0?
-2, 2
Suppose -2*m = -5*m + 9. Factor 2*b**2 - 21*b**3 + 44*b**m - 4*b**4 - 25*b**3.
-2*b**2*(b + 1)*(2*b - 1)
Let i(s) be the first derivative of s**4/4 + 16*s**3/3 + 32*s**2 + 66. Suppose i(t) = 0. Calculate t.
-8, 0
Let n(a) be the second derivative of a**5/60 - 2*a**4/9 - 19*a**3/18 - 5*a**2/3 + 819*a. Let n(p) = 0. What is p?
-1, 10
Let u(g) be the second derivative of 5/3*g**3 + 1/4*g**5 + 0*g**2 + 5/4*g**4 + 0 - 8*g. Factor u(o).
5*o*(o + 1)*(o + 2)
Let p(u) be the second derivative of -u**5/12 + 10*u**3/3 - 5*u**2/2 - 10*u. Let w(y) be the first derivative of p(y). Factor w(q).
-5*(q - 2)*(q + 2)
Let b(k) be the first derivative of -k**4/30 + 2*k**3/15 + 4*k**2/15 - 407. Factor b(a).
-2*a*(a - 4)*(a + 1)/15
Let r be 2/2*-1 + (82 - -16). Let d = r + -95. Factor -4/9*t + 0 + 2/9*t**4 + 4/9*t**3 - 2/9*t**d.
2*t*(t - 1)*(t + 1)*(t + 2)/9
Let a = -171/20 + 553/60. Solve -a*o**2 + 4/3*o - 2/3 = 0.
1
Let g(y) = -37*y**4 + 1056*y**3 - 1758*y**2 + 415*y + 297. Let m(d) = 9*d**4 - 264*d**3 + 439*d**2 - 104*d - 74. Let i(p) = 4*g(p) + 18*m(p). Solve i(w) = 0.
-2/7, 1, 36
Suppose 0 = 12*c - 8*c. Let m be (-4)/((-4)/3 - c). Factor -3*n**m - 11/5*n**2 + 11/5*n - 2/5 + 9/5*n**4.
(n - 2)*(n + 1)*(3*n - 1)**2/5
Let s be (-107 + 107)*1/(-3)*1. Let v(f) be the second derivative of s*f**2 - 5/3*f**4 - 4/3*f**3 - 8/15*f**6 + 14*f + 0 + 11/5*f**5. Factor v(h).
-4*h*(h - 2)*(h - 1)*(4*h + 1)
Let z(x) be the first derivative of 4 + 0*x**2 - 3/20*x**5 + x**4 - 2*x**3 + 5*x. Let t(p) be the first derivative of z(p). Factor t(v).
-3*v*(v - 2)**2
Suppose -2*i - 4 = -4*i. Suppose -17 - 16 + 33 + i*