 b(d) = 0 for d.
0, 3/11
Let m be (15/75)/(18/270). Factor 5*w**2 + 20/3*w**m - 20/3*w - 20/3 + 5/3*w**4.
5*(w - 1)*(w + 1)*(w + 2)**2/3
Suppose -4*c = -9*n + 11*n - 14, -4*c + 5 = -n. Let q(m) be the first derivative of 0*m + 2/3*m**n - m**2 + 9. Solve q(h) = 0.
0, 1
Let u(s) = s**2 + 2*s - 5. Let p be u(5). Let g = p + -149/5. Factor -2/5*x + g + 1/5*x**2.
(x - 1)**2/5
Let p be ((-25)/12 + 2)*-21*32/224. Determine n so that -3/4*n**2 - 3/2*n**5 - 5/4*n + 1/2 + 11/4*n**3 + p*n**4 = 0.
-1, 1/2, 2/3, 1
Factor -5*m**2 - 2/5*m**3 + 22/5 - 31/5*m.
-(m + 2)*(m + 11)*(2*m - 1)/5
Let c(s) = s**4 - 11*s**3 + 10*s**2. Let g(z) = z**4 - 13*z**3 + 12*z**2. Let p(o) = -7*c(o) + 6*g(o). Find f, given that p(f) = 0.
-2, 0, 1
Let t = 2 - 1. Let v be 1 - (t + 0 + -4). Find i, given that 6*i - 3*i**v - 9*i**2 - 9*i**3 - 5*i - 4*i = 0.
-1, 0
Suppose -4*s + 5*n - 3*n = -148, 0 = -3*s - 3*n + 120. Suppose 0 = 5*v - 3*v - s. Let 10*u**3 + 0*u**4 + v*u**4 - 38*u**3 + u**4 + 8*u**2 = 0. Calculate u.
0, 2/5, 1
Suppose c = 2*n + 4, n - 4*n = 5*c + 32. Let r = 34 - c. Factor -3*u**3 + r - 38.
-3*u**3
Let o(q) = -9*q**2 - 72*q + 15. Let j(k) = -k**2 - 9*k + 2. Let u be 10/45*-3*-6. Let a(p) = u*o(p) - 33*j(p). Solve a(w) = 0 for w.
1, 2
Let i = 37493 + -112471/3. Factor i*j**2 - 7/3*j - 1/3*j**3 + 0.
-j*(j - 7)*(j - 1)/3
Let q(d) be the third derivative of -12*d**2 + 0 - 1/40*d**6 - 2*d**3 + 1/8*d**4 + 1/5*d**5 + 0*d. Determine o so that q(o) = 0.
-1, 1, 4
Let o(m) = -4*m**2 + 2*m - 4. Let d = -1 - 8. Let c = -12 - d. Let z(l) = -3*l**2 + 2*l - 3. Let u(t) = c*z(t) + 2*o(t). Factor u(p).
(p - 1)**2
Let k(z) = z**3 - 6*z**2 - 5*z - 9. Let f be k(7). Suppose 3*c - 6 - f = 2*g, 2*g - 4*c + 16 = 0. Find w such that -2*w**3 + 1 + 3 + w**4 + w**g - 4 = 0.
0, 1
Let x be ((-9)/(-7) - 1) + (-18)/63. Let -5/2*z**4 - 5/4*z + 0 + 5/2*z**2 + x*z**3 + 5/4*z**5 = 0. Calculate z.
-1, 0, 1
Let m(s) be the first derivative of 3*s**4/16 - 19*s**3/2 - 237*s**2/8 - 30*s + 338. Factor m(o).
3*(o - 40)*(o + 1)**2/4
Suppose 0 = 82*o - 200 - 46. Suppose 3/4*i**o + 3/4*i**2 - 3/2*i + 0 = 0. Calculate i.
-2, 0, 1
Let c be -3*1*((-5)/(-15) - 2). Factor -2*j**c + j + 2 + 5*j + 19*j**3 - 6*j**4 + 4*j**2 - 23*j**3.
-2*(j - 1)*(j + 1)**4
Let b be (-8)/(-6)*(-18)/(-12). Suppose -17 = -2*p - 3*p + b*q, -q + 14 = 2*p. What is x in 3*x + 3*x**2 + 2*x**2 - 8*x**2 - p*x = 0?
-2/3, 0
Find p such that -75/4*p**2 + 30*p - 12 = 0.
4/5
Let p(a) be the first derivative of 9*a**6/160 + 3*a**5/40 + a**4/24 + 3*a**3 - 12. Let r(z) be the third derivative of p(z). Factor r(v).
(9*v + 2)**2/4
Let h(q) be the second derivative of 2*q**6/15 + q**5 + 5*q**4/3 - 10*q**3/3 - 12*q**2 - q - 19. Solve h(k) = 0.
-3, -2, -1, 1
Factor -73 + 2*o**2 - 2*o**4 + 73.
-2*o**2*(o - 1)*(o + 1)
Suppose -3116*p - 52 = -3142*p. Factor 0 + 0*c**p + 0*c**3 + 8/7*c**4 + 0*c + 4/7*c**5.
4*c**4*(c + 2)/7
Let d be (3/(-228))/(3 + -2). Let a = 81/380 + d. Factor 4/5 + 4/5*z + a*z**2.
(z + 2)**2/5
Let j(d) be the third derivative of -d**5/600 - d**4/3 + 4*d**2 - 9. Factor j(u).
-u*(u + 80)/10
Suppose 3*h - 6*h + 4*r - 260 = 0, 0 = 2*h + 2*r + 192. Let z be (-299)/h + -1*(-3)/(-1). What is u in -z*u**2 + 3/4 + 1/2*u = 0?
-1, 3
Let s(u) be the second derivative of u**6/90 - u**5/30 + u**4/36 - 40*u + 2. Let s(g) = 0. Calculate g.
0, 1
Let l = 1328 + -1326. Let 8/13*u + 2/13*u**l + 8/13 = 0. What is u?
-2
Let q = 1210 + -1207. Factor 0 + t**2 - 1/2*t**5 + 0*t + 3/2*t**q + 0*t**4.
-t**2*(t - 2)*(t + 1)**2/2
Suppose 6*r - r + 2*n = 280, 2*r + 5*n - 133 = 0. Let q = -52 + r. Find m such that -3/2*m**q + 0 - 1/3*m = 0.
-2/9, 0
Let x(f) = -2*f**2 - 6*f + 17. Let a(u) = -6*u**2 - 18*u + 50. Let y(v) = 3*a(v) - 10*x(v). Factor y(q).
2*(q - 2)*(q + 5)
Let k(b) be the second derivative of -b**6/20 + 9*b**5/20 - 9*b**4/8 + b**3 - 3*b - 2. Determine x so that k(x) = 0.
0, 1, 4
Suppose 522 = 2*q - 0*p - 4*p, 4*q = -p + 1017. Suppose 0 = 5*n - 0*n - q. Factor -280*o**3 + 47*o**2 + 4 + n*o**4 - 44*o + 126*o**2 + 96*o**4.
(o - 1)*(3*o - 1)*(7*o - 2)**2
Find q such that 86/7*q**3 + 2*q**5 + 0 - 60/7*q**4 + 8/7*q - 48/7*q**2 = 0.
0, 2/7, 1, 2
Let k(a) be the second derivative of -a**6/30 + a**4/6 - a**2/2 - 56*a. Let k(y) = 0. Calculate y.
-1, 1
Suppose -b + h - 3 - 4 = 0, 2*b - 1 = -h. Let u be (b - 50/(-27))*9/(-6). Suppose -2/9 + u*o**4 + 0*o**2 + 4/9*o - 4/9*o**3 = 0. What is o?
-1, 1
Let y(w) be the second derivative of -5*w**4/12 + 5*w**3/6 + 5*w**2 - 3*w - 42. Factor y(m).
-5*(m - 2)*(m + 1)
Let o(w) be the second derivative of w**7/70 - 2*w**6/25 + 9*w**5/100 + w - 39. Solve o(a) = 0 for a.
0, 1, 3
Factor -728*j + 24 + 16562/3*j**2.
2*(91*j - 6)**2/3
Let y(w) = -9*w**4 - 84*w**3 - 588*w**2 - 1367*w. Let s(z) = 26*z**4 + 252*z**3 + 1764*z**2 + 4102*z. Let x(t) = 5*s(t) + 14*y(t). Determine g so that x(g) = 0.
-7, 0
Let x(g) be the second derivative of -5*g**4/12 + 35*g**3/2 + 55*g**2 - 308*g. What is r in x(r) = 0?
-1, 22
Let o(y) be the second derivative of -y**5/12 - 5*y**4/6 - 5*y**3/2 + 7*y**2 - 9*y. Let f(r) be the first derivative of o(r). Solve f(b) = 0 for b.
-3, -1
Let a(m) be the first derivative of -m**6/18 - 5*m**5/3 - 2*m**4 - 197. Factor a(r).
-r**3*(r + 1)*(r + 24)/3
Let r(t) be the second derivative of 25*t**4/24 + 55*t**3/6 + 121*t**2/4 + 29*t. Factor r(c).
(5*c + 11)**2/2
Let y = 1/393 + 391/786. Solve -y*i**3 - 4*i + 5/2*i**2 + 2 = 0.
1, 2
Let a = 3182 - 3182. Factor -4/17*t**4 - 2/17*t**5 + 0*t + 8/17*t**3 + a + 16/17*t**2.
-2*t**2*(t - 2)*(t + 2)**2/17
Let b(k) be the second derivative of k**7/315 - k**6/45 + k**5/15 - k**4/9 + k**3/9 - 2*k**2 - 3*k. Let u(x) be the first derivative of b(x). Factor u(t).
2*(t - 1)**4/3
Let q(x) be the second derivative of -x**5/80 + 19*x**4/24 - 477*x. Let q(k) = 0. What is k?
0, 38
Suppose -3*o - a + 13 = 0, o - 2 - 4 = -2*a. Factor -3*r**o + 77*r**2 - 73*r**2 - 2*r**3 + r**4.
-2*r**2*(r - 1)*(r + 2)
Let l(d) = -2*d**2 + 2*d + 2. Let n(y) = 5*y**2 - 5*y - 13. Let p(f) = -1. Let c(m) = -n(m) + 6*p(m). Let u(o) = -2*c(o) + 7*l(o). Suppose u(t) = 0. What is t?
0, 1
Let s(d) = -d**3 + 2*d - 2. Let f be s(-2). Let x(j) = -2*j**3 - 18*j**2 + 23*j + 33. Let k be x(-10). Factor -8/7*o**f + 4/7*o + 3/7*o**k + 0.
o*(o - 2)*(3*o - 2)/7
Let -69430 + 69470 + 3*f**2 - 184*f + 15*f**2 = 0. What is f?
2/9, 10
Suppose 0 = -0*v - 3*v + 6. Suppose 1 = s + z - 45, v*z + 37 = s. Suppose -20*q**3 - 22*q**3 - q**2 + s*q**3 = 0. What is q?
0, 1
Let v = -41 - -46. Factor b - b**3 + 5*b**v - 2*b**3 + b**3 - 4*b**5.
b*(b - 1)**2*(b + 1)**2
Let w(d) be the third derivative of -d**5/50 - 11*d**4/60 - 2*d**3/3 - 35*d**2 + 2*d. Factor w(x).
-2*(x + 2)*(3*x + 5)/5
Let u(x) be the second derivative of -5*x**4/12 + 385*x**3 - 266805*x**2/2 - x - 256. Factor u(h).
-5*(h - 231)**2
What is n in 0 + 54/17*n**3 + 486/17*n**2 + 1458/17*n + 2/17*n**4 = 0?
-9, 0
Let q(n) be the first derivative of -n**4/6 - n**3 - 2*n**2 - 10*n + 9. Let u(b) be the first derivative of q(b). Let u(c) = 0. What is c?
-2, -1
Let z(w) = 2*w**5 + w**3 - w. Let q(d) = -11*d**5 - 12*d**4 + 46*d**3 - 96*d**2 + 70*d. Let c(k) = q(k) + 6*z(k). Let c(m) = 0. Calculate m.
0, 2, 4
Let k(d) = -110*d**3 - 78*d**2 + 3994*d + 1652. Let l(r) = 10*r**3 + 7*r**2 - 363*r - 150. Let f(g) = -6*k(g) - 68*l(g). Determine z, given that f(z) = 0.
-6, -2/5, 6
Let p(u) be the second derivative of -59*u + 5/4*u**4 + 1/30*u**6 + 9/20*u**5 + 0*u**2 + 0 + 7/6*u**3. Solve p(y) = 0 for y.
-7, -1, 0
Suppose -106 = -6*z - 211 + 105. Factor 0*x - 2/9*x**4 + z*x**3 + 4/9*x**2 - 2/9.
-2*(x - 1)**2*(x + 1)**2/9
Let x be (-8)/3*610/(-8). Let r = 206 - x. Solve r + 32/3*k - 14*k**3 + 2/3*k**2 = 0.
-2/3, -2/7, 1
Suppose -32*r - 36 = -15*r - 29*r. Factor -4/7 - 8/7*k**r + 2*k + 10/7*k**2.
-2*(k - 2)*(k + 1)*(4*k - 1)/7
Let g(c) be the second derivative of c**7/105 - c**6/75 - 7*c**5/50 + c**4/30 + 2*c**3/5 - 56*c + 2. Determine l so that g(l) = 0.
-2, -1, 0, 1, 3
Let j = 33 + -31. Factor -25*l**2 - 4*l**4 + 6*l**3 - 6*l + j*l**4 + 27*l**2.
-2*l*(l - 3)*(l - 1)*(l + 1)
Let c = 75 + -69. Suppose 0 = -c*n + 1 + 23. Factor 0*x**3 - 2/3*x**n - 1/3*x + 1/3*x**5 + 2/3*x**2 + 0.
x*(x - 1)**3*(x + 1)/3
Let j(a) be the first derivative of 2*a**3/27 + 104*a**2/9 + 5408*a/9 + 126. Factor j(q).
2*(q + 52)**2/9
Fact