k = -25 - -28. Factor 2*r**4 - 3*r**3 - 7*r**4 - k*r**4 - r**3.
-4*r**3*(2*r + 1)
Let d be 6/70 + 12 + 1254/(-105). Solve 38/7*f**2 + 1 + d*f**5 - 22/7*f**3 + 3/7*f**4 - 27/7*f = 0 for f.
-7, 1
Let a be 7 - 864/(-84) - 17. Let m = 0 - 0. Factor m + a*r - 2/7*r**2.
-2*r*(r - 1)/7
Let s be -2 - (2/4)/(117/(-494)). Find g, given that 1/9*g**2 - 2/9*g + s = 0.
1
Suppose -2*u - 5*s - 19 = 0, 2*u + 8 = 3*s - 3. Let b be u/(21/9) + 7. Factor -3*m**b - 2*m**3 - 3 + 10*m**3 - 20*m**3 - 12*m - 18*m**2.
-3*(m + 1)**4
Let g = 47 + -45. Factor -5 + 10*w**3 + 8*w**2 + 0*w - 5*w**4 - 7*w**2 + 9*w**g - 5*w - 5*w**5.
-5*(w - 1)**2*(w + 1)**3
Determine j, given that 0 + 0*j + 0*j**2 - 7/6*j**5 + 4/3*j**3 - 13/3*j**4 = 0.
-4, 0, 2/7
Let h(y) = 3*y**3 - 10*y**2 + 4*y - 1. Let s be h(5). Let g be (3/(-4))/(s/(-96)). Determine l so that l**4 + 0 + g*l**3 + 0*l - l**2 - 1/2*l**5 = 0.
-1, 0, 1, 2
Suppose 3*h - 27 = -5*t, 6*h - 8*h = -t + 8. Factor -48*i - t*i**3 + 37*i + 5*i**3 + 5 + 7*i**2.
-(i - 5)*(i - 1)**2
Suppose 98*i = 39*i + 5 - 5. Factor 1/3*h**3 + i*h + 0 + 4/3*h**2.
h**2*(h + 4)/3
Factor 26/7*a**3 + 18*a**2 + 2/7*a**4 + 216/7 + 270/7*a.
2*(a + 3)**3*(a + 4)/7
Suppose -5*v + c + c = -32, -2*c + 4 = v. Suppose 5*d - 1 - 23 = 3*m, v = -3*d - 5*m. Suppose -w**2 + 5*w**2 + 0*w**3 - 4*w**4 - 2*w**4 + 2*w**d = 0. What is w?
-2/3, 0, 1
Let h = -6635 - -6638. Let 4/7 + 2*z - 10/7*z**2 - 8/7*z**h = 0. Calculate z.
-2, -1/4, 1
Let m(z) = z**3 + 8*z**2 - 7. Let b be m(-8). Let l(p) = -p - 4. Let h be l(b). Factor d**2 + d - h*d**2 - 13*d - 18.
-2*(d + 3)**2
Let i(s) = -s**3 - s**2 + 3*s + 1. Let u be i(-3). Suppose 0*n = -5*n + u. Determine y, given that -6 - y**2 + 16*y - 7*y - 2*y**n = 0.
1, 2
Let o be (-9)/6 - (-15)/6. Suppose 8 + o = 3*g. What is f in -f**g - 2 + f**2 + 0*f**3 + 3 + f - 2 = 0?
-1, 1
Let v(w) = -w + 12. Let k be v(10). Let a be (k/2)/(7/14). Find u such that 8*u**2 - 2*u**5 + 10*u**2 - 14*u**a + 2*u - 4*u**4 = 0.
-1, 0, 1
Let p be (-56)/(-120) - (-4)/(-10). Let f(h) be the second derivative of p*h**6 + 0*h**3 + 0*h**5 - 1/6*h**4 + 0*h**2 + 0 - 4*h. Determine w so that f(w) = 0.
-1, 0, 1
Let c(x) be the third derivative of 0*x**7 + 0 - 1/1680*x**8 + 0*x**4 + 0*x + 0*x**5 + 15*x**2 + 1/600*x**6 + 0*x**3. Factor c(j).
-j**3*(j - 1)*(j + 1)/5
Let s(h) be the first derivative of 1 + 1/2*h**2 + 1/24*h**3 - 1/240*h**5 + 0*h**4 + 0*h. Let k(q) be the second derivative of s(q). Factor k(w).
-(w - 1)*(w + 1)/4
Let t = -119 + 145. Let m = t - 23. Determine d so that 0*d + 2/7*d**m + 0 + 2/7*d**2 = 0.
-1, 0
Let c(a) be the first derivative of -a**5/5 + a**4 - a**3 - 2*a**2 + 4*a + 219. Factor c(b).
-(b - 2)**2*(b - 1)*(b + 1)
Suppose -26*m = -35*m - 36. Let w(d) = d**2 + 4*d + 3. Let o be w(m). What is t in 0 + 0*t - 1/6*t**4 + 0*t**2 + 1/6*t**o = 0?
0, 1
Suppose 409*a**3 + 6*a - 809*a**3 - 42*a + 240*a**2 = 0. What is a?
0, 3/10
Let o be ((-60)/(-18) - 4)/(81/(-36) - -2). Solve -o*n**4 + 16/3*n**3 + 2/3*n - 10/3*n**2 + 0 = 0 for n.
0, 1/2, 1
Let x(q) = -47*q - 186. Let u be x(-4). Let f(d) be the second derivative of 0 + 1/8*d**4 + 8*d - 3/4*d**u + 0*d**3. Factor f(l).
3*(l - 1)*(l + 1)/2
Let r(w) be the first derivative of -40*w - 10*w**3 + 7 + 75/2*w**2 - 5/4*w**4. Find f, given that r(f) = 0.
-8, 1
Let v(d) be the second derivative of 5*d**7/84 - 3*d**5/4 - 5*d**4/3 - 5*d**3/4 - 27*d. Find z such that v(z) = 0.
-1, 0, 3
Let h(m) = 2*m**4 + 3*m**3 + 5*m**2 + 2. Let u(l) = 5*l**4 + 7*l**3 + 11*l**2 + 5. Let n = 6 + -13. Let s(a) = n*h(a) + 3*u(a). Solve s(q) = 0 for q.
-1, 1
Let n = -86 - -91. Determine j, given that 12*j**n - 94*j**4 - 4*j**3 + 104*j**4 + 1 - 1 - 2*j**2 = 0.
-1, -1/3, 0, 1/2
Suppose -3*z + 2*o - 4*o = -11, -4*o - 3 = z. Let m(w) = -w**2 - 4*w + 7. Let i be m(-5). Factor z*v**2 + 2 - 2*v**i - 5.
3*(v - 1)*(v + 1)
Let p(g) be the first derivative of -g**6/24 + 3*g**5/20 + g**4/16 - 7*g**3/12 + g - 81. Solve p(z) = 0 for z.
-1, 1, 2
Factor -8*z - 4*z**2 + 27*z**3 - 11*z**3 + 2*z**2 - 4*z**2 - 17*z**3.
-z*(z + 2)*(z + 4)
Suppose -5*j + 16 = -3*o, o = -4*j + 2*o + 17. Suppose -j*f + 4*f = -5. Factor -4*q**4 + 0*q**f + 2*q**4 - 2*q**5 + 4*q**5.
2*q**4*(q - 1)
Let y(j) be the first derivative of -j**4/3 - 40*j**3/3 - 112*j**2/3 + 320. Suppose y(r) = 0. Calculate r.
-28, -2, 0
Let s be 25/(-50) + 397/2. Let z be -4*1/5*(-45)/s. Determine t, given that 0*t + z - 2/11*t**2 = 0.
-1, 1
Let l(p) be the second derivative of -16/3*p**3 - 64/9*p**2 + 1/45*p**6 + 22/9*p**4 + 0 - 7/18*p**5 - 35*p. Let l(h) = 0. What is h?
-1/3, 4
Let n = 1/1811 + 14485/5433. Determine y, given that 4/3*y**3 + 4/3*y**4 - 2/3*y**5 - n*y**2 + 4/3 - 2/3*y = 0.
-1, 1, 2
Let s be 215/175 + 18/315 - 1. Factor s*u**2 + 0*u + u**5 + 3/7*u**3 - 12/7*u**4 + 0.
u**2*(u - 1)**2*(7*u + 2)/7
Let i(z) = -3*z**2 + 100*z - 33. Let q be i(33). Let g(k) be the first derivative of 11 + 1/18*k**4 - 2/27*k**3 + 0*k + q*k**2. Factor g(m).
2*m**2*(m - 1)/9
Suppose 4*o = -z + 8, -5*o - 17*z = -13*z + 1. Find h such that 5/3*h - 5/3*h**o - 5/6*h**2 + 0 + 5/6*h**4 = 0.
-1, 0, 1, 2
Let x = -18 + 24. Let x*p - 4*p + 5*p**4 + 3*p**2 - 6*p**4 = 0. What is p?
-1, 0, 2
Solve 3*q - 684273*q**2 + 684282*q**2 - q**3 - 2*q**3 + 4 - 13 = 0.
-1, 1, 3
Let v(k) = k**2 - 313*k - 2896. Let g be v(-9). Let -14/17*b + 10/17*b**g - 4/17 + 8/17*b**3 = 0. Calculate b.
-2, -1/4, 1
Let y(o) be the third derivative of -o**6/40 + 149*o**5/20 - 703*o**4 + 2738*o**3 + 78*o**2. Suppose y(g) = 0. What is g?
1, 74
Let z(a) be the first derivative of -a**4/38 + 27*a**2/19 - 108*a/19 - 204. Factor z(i).
-2*(i - 3)**2*(i + 6)/19
Let o(i) = -55*i**2 - 960*i - 7705. Suppose 0 = -6*z - 8*z - 350. Let k(f) = 9*f**2 + 160*f + 1284. Let a(j) = z*k(j) - 4*o(j). Factor a(n).
-5*(n + 16)**2
Let n be (-10)/55 - (1491/(-33) - 0). Let b be (-26)/(-15) - 6/n. Let -16/5*g - 22/5*g**4 - b*g**2 + 36/5*g**3 + 4/5*g**5 + 0 = 0. What is g?
-1/2, 0, 2
Let x = 6 - 4. Suppose -9 = -a + x*v, 3*a - 3*v = a + 15. Factor 2*f**3 - 25 + 25 - 6*f**2 - 5*f**3 + a*f**4.
3*f**2*(f - 2)*(f + 1)
What is g in -48/13*g + 2/13*g**2 + 88/13 = 0?
2, 22
Let 98/9*z**3 + 14*z + 10/3*z**4 - 26*z**2 - 20/9 = 0. Calculate z.
-5, 1/3, 2/5, 1
Let a(v) = -7*v**4 - 3*v**3 + 86*v**2 - 232*v + 172. Let x(r) = -6*r**4 - 3*r**3 + 87*r**2 - 231*r + 171. Let d(m) = 3*a(m) - 4*x(m). Let d(u) = 0. What is u?
-7, 2
Let p(q) be the second derivative of 11*q**4/8 + 23*q**3/8 + 3*q**2/8 + 90*q + 2. Determine v so that p(v) = 0.
-1, -1/22
What is i in -68 - 8*i**2 + 67*i + 12*i**2 - 3*i**2 = 0?
-68, 1
Let -5/7*p**4 - 6/7*p**2 + 17/7*p**3 + 0*p + 0 = 0. Calculate p.
0, 2/5, 3
Let a(k) be the second derivative of k**7/126 - k**6/24 + k**5/18 - 23*k**2/2 - 19*k. Let z(b) be the first derivative of a(b). Factor z(u).
5*u**2*(u - 2)*(u - 1)/3
Let b(c) be the third derivative of -25*c**2 + 0*c**3 + 1/20*c**5 + 0*c + 0 - 1/8*c**4. Factor b(x).
3*x*(x - 1)
Let p(a) = -23*a**4 + 133*a**3 - 204*a**2 + 62*a - 4. Let z(t) = -45*t**4 + 265*t**3 - 410*t**2 + 125*t - 10. Let q(b) = -5*p(b) + 2*z(b). Factor q(w).
5*w*(w - 3)*(w - 2)*(5*w - 2)
Let w(n) = -n**2 + 4*n + 2. Let u = -2 - -6. Let x be w(u). Factor 0*l + 6*l**3 + x*l**2 - 4*l - 4*l**3.
2*l*(l - 1)*(l + 2)
Let n(s) be the second derivative of 0*s**2 + 0*s**3 - 6*s + 0 + 1/5*s**5 - 2/15*s**6 + 2/3*s**4. Factor n(k).
-4*k**2*(k - 2)*(k + 1)
Let m(d) = 4*d**2 - 3*d - 5. Let c be m(-2). Suppose c = 5*t - 3. Factor -4*g - 2*g**4 - 8*g**3 - 9*g**2 + t*g**2 - 5*g**2.
-2*g*(g + 1)**2*(g + 2)
Let i(a) = -a**2 - 39*a - 38. Let y(q) = 3*q**2 + 116*q + 113. Let p(v) = -7*i(v) - 2*y(v). Factor p(f).
(f + 1)*(f + 40)
Let m be 5 + 13/((-26)/6). Let l(p) be the first derivative of -3/2*p**m + 2 - 1/2*p**3 - 3/2*p. Factor l(u).
-3*(u + 1)**2/2
Suppose 2*d - 25 = -3*d. Let l(y) be the first derivative of y**4 + 0*y**2 - 2/3*y**3 + 0*y - 2/3*y**6 + 2/5*y**d - 5. Find r, given that l(r) = 0.
-1, 0, 1/2, 1
Let i(z) be the second derivative of 0 - 25/108*z**4 + 10/27*z**3 - 2/9*z**2 - 14*z. Factor i(m).
-(5*m - 2)**2/9
Let g(r) be the first derivative of r**8/504 - r**7/315 - r**6/180 + r**5/90 - r**2/2 - 17. Let z(t) be the second derivative of g(t). Factor z(f).
2*f**2*(f - 1)**2*(f + 1)/3
Let g = 1423/8610 - -2/1435. Let u(d) be the third derivative of -g*d**4 + 0 +