0. Calculate b.
-1, 1
Suppose -224 = 16*h - 240. Factor 1/4*g**2 + 5/4*g + h.
(g + 1)*(g + 4)/4
Let r(c) = -85*c**2 + 615*c - 730. Let l(k) = 5*k**2 - 36*k + 43. Let y(h) = -35*l(h) - 2*r(h). Factor y(o).
-5*(o - 3)**2
Let u = 224509/42764 + 1/21382. Let 9/4 - 3/4*y**5 - 27/2*y**3 + 33/2*y**2 - 39/4*y + u*y**4 = 0. Calculate y.
1, 3
Let p be 1 - ((-60)/1)/3. Let d(z) = 69*z**2 + 108*z + 45. Let n(m) = 17*m**2 + 27*m + 11. Let v(t) = p*n(t) - 5*d(t). Determine y so that v(y) = 0.
-2, -1/4
Suppose 468*r = 459*r. Factor 1/3*q**5 - 4/3*q**4 + r + 4/3*q**2 + q**3 - 4/3*q.
q*(q - 2)**2*(q - 1)*(q + 1)/3
Let o(w) be the first derivative of -5*w**3/3 - 11*w**2 - 23*w - 3. Let z(l) = -l**2 + l - 1. Let h(r) = -o(r) + 2*z(r). Factor h(x).
3*(x + 1)*(x + 7)
Let p = 15 + -13. Let t be ((-12)/9)/4*-9. Solve -p*j + 28*j**4 + 14*j**2 - 2*j**4 - 8*j**5 - 13*j**t - 17*j**3 = 0.
0, 1/4, 1
Let p(d) be the first derivative of -d**7/70 + 3*d**6/40 + d**5/5 - 5*d**2 - 24. Let g(y) be the second derivative of p(y). Determine m so that g(m) = 0.
-1, 0, 4
Let s(b) be the second derivative of b**8/5600 + b**7/2100 - 2*b**6/75 + b**5/5 - 2*b**4/3 + 22*b. Let r(j) be the third derivative of s(j). Factor r(l).
6*(l - 2)**2*(l + 5)/5
Suppose 2*j - w + 15 = 3*j, -j + 15 = -2*w. Let j*d**2 - 4*d - 20*d**3 - 19*d**2 + 8 - 22*d**2 - 6*d**2 = 0. Calculate d.
-1, 2/5
Factor -318/7*k + 6/7*k**2 - 324/7.
6*(k - 54)*(k + 1)/7
Suppose 2*k + 2*s = -0*s - 2, -3*k + 2*s + 12 = 0. Factor -42*l**3 - 4*l**k + 21*l**3 - 4*l + 25*l**3 + 4.
4*(l - 1)**2*(l + 1)
Let j(r) = r - 2. Let p = -107 + 111. Let h be j(p). Let 0 + 4/7*q**h + 8/7*q = 0. What is q?
-2, 0
Let s be 0 - (-2)/5 - 18/(-5). Find a such that -3 - 15*a + 0*a**3 + 17*a**2 - s - a**3 - 26*a**2 = 0.
-7, -1
Let g(m) be the first derivative of -m**4/16 - 31*m**3/4 - 2115*m**2/8 + 2209*m/4 + 10. Determine l, given that g(l) = 0.
-47, 1
Let t(x) be the second derivative of x**7/420 - x**6/48 - x**5/120 + 5*x**4/48 + 23*x**2/2 + 27*x. Let w(j) be the first derivative of t(j). Factor w(i).
i*(i - 5)*(i - 1)*(i + 1)/2
Let d(c) be the second derivative of 0 + c - 1/42*c**4 - 2/7*c**2 - 1/7*c**3. Determine b, given that d(b) = 0.
-2, -1
Let i be 5/300*3/39. Let g(d) be the third derivative of 1/156*d**4 + 0*d**3 + 0*d - 6*d**2 + i*d**6 + 0 - 1/195*d**5. Factor g(q).
2*q*(q - 1)**2/13
Let a(k) = k**5 - 6*k**3 + k**2 - k. Let i(l) = -12*l**5 + 2*l**4 + 66*l**3 - 12*l**2 + 6*l. Let t(u) = -20*a(u) - 2*i(u). Factor t(d).
4*d*(d - 2)*(d - 1)*(d + 1)**2
Let a(i) be the first derivative of i**5/12 + 5*i**4/24 - 3*i**2/2 + 14. Let s(q) be the second derivative of a(q). Factor s(x).
5*x*(x + 1)
Let i(s) = s**3 - 3*s + 6. Let b(n) = 3*n**3 - 2*n**2 - 5*n + 14. Let u(x) = 2*b(x) - 5*i(x). Solve u(j) = 0 for j.
1, 2
Let u(z) be the third derivative of 26*z**2 + 1/50*z**5 - 3/200*z**6 + 3/40*z**4 - 1/5*z**3 - 2*z + 0. Factor u(d).
-3*(d - 1)*(d + 1)*(3*d - 2)/5
Factor 1325*i - 679*i + 2*i**2 - 102 - 746*i.
2*(i - 51)*(i + 1)
Suppose s + 13 = 3*r - 0, -5*r + 27 = s. Factor -19*a**2 + 22*a**s + 2*a + a.
3*a*(a + 1)
Let y(s) be the second derivative of s**6/45 + s**5/15 - s**4/18 - 2*s**3/9 - 2*s + 3. Factor y(k).
2*k*(k - 1)*(k + 1)*(k + 2)/3
Let m = -1727/24 + 72. Let r(j) be the second derivative of 0*j**3 - m*j**4 + 0*j**2 + 0 - j. Factor r(v).
-v**2/2
Suppose 8/7*p + 4/7*p**2 + 0 = 0. What is p?
-2, 0
Let c(p) be the third derivative of -p**7/315 - p**6/45 + 4*p**4/9 + 16*p**3/9 + 6*p**2 - p. Suppose c(z) = 0. What is z?
-2, 2
Let u = 35 - 32. Solve 81*r**3 + r**5 - 72*r**u - 6*r**2 - 3*r**5 - r**5 = 0 for r.
-2, 0, 1
Let l(n) be the third derivative of -2*n**7/525 + n**6/75 + n**5/25 + 258*n**2. Factor l(p).
-4*p**2*(p - 3)*(p + 1)/5
Suppose 40*o - 73 = 7. Factor 9/2*f - 2*f**o - 1.
-(f - 2)*(4*f - 1)/2
Let s(d) be the first derivative of -12/5*d**2 - 15 + 0*d - 2/25*d**5 - 7/10*d**4 - 32/15*d**3. Solve s(v) = 0 for v.
-3, -2, 0
Let l(b) be the first derivative of 2*b**3/9 - 8*b/3 + 111. Determine o, given that l(o) = 0.
-2, 2
Let y(z) = z**3 + 13*z**2 - 13*z - 6. Let b be y(-14). Let n = -17 - b. Factor -4/5*u**2 - 18/5*u**n + 0 + 0*u - 2*u**5 - 24/5*u**4.
-2*u**2*(u + 1)**2*(5*u + 2)/5
Let x(v) be the first derivative of v**6 + 8*v**5/5 - 4*v**4 - 12*v**3 - 11*v**2 - 4*v - 14. Factor x(r).
2*(r - 2)*(r + 1)**3*(3*r + 1)
Let p(y) be the third derivative of -y**6/315 + 3*y**5/70 + 61*y**4/84 + 44*y**3/63 - 27*y**2 - 4*y. Solve p(z) = 0.
-4, -1/4, 11
Let y = -56 + 52. Let j be (-1)/(-2) - y/(-24). Factor -8*t**2 + 16/3*t**3 - j + 3*t.
(t - 1)*(4*t - 1)**2/3
Let u(j) be the first derivative of -j**3/18 - 7*j**2/12 + 4*j/3 - 145. Solve u(l) = 0.
-8, 1
Let c(h) be the second derivative of h**6/1080 + h**5/45 + 2*h**4/9 + 11*h**3/6 - 12*h. Let v(w) be the second derivative of c(w). Factor v(z).
(z + 4)**2/3
Let j(x) be the first derivative of x**6/6 + x**5/4 - 5*x**4/12 - 5*x**3/6 + 4*x - 22. Let k(f) be the first derivative of j(f). Solve k(p) = 0.
-1, 0, 1
Let r be (-1530)/(-405) + 60/10. Factor -4/9*a - 8*a**4 - r*a**3 - 34/9*a**2 + 0.
-2*a*(2*a + 1)**2*(9*a + 2)/9
Let m = 73/30 + -29/15. Let n(k) be the first derivative of m*k**4 + 0*k - 5 + 0*k**2 + 0*k**3 - 2/5*k**5. Factor n(o).
-2*o**3*(o - 1)
Let w(g) = -3*g - 5. Let y be w(-4). Let d be (3 - y) + 63/15. Factor d*m**3 + 0*m - 1/5*m**2 + 0.
m**2*(m - 1)/5
Solve 64*y + y**2 - 64*y + y**3 = 0 for y.
-1, 0
Suppose -131*u = -124*u. Factor -4/7*r**3 + 0 + 0*r - 2/7*r**4 + u*r**2.
-2*r**3*(r + 2)/7
Let c(k) be the first derivative of -k**6/3 + 6*k**5 - 39*k**4 + 292*k**3/3 + 15*k**2 - 450*k - 518. Find n such that c(n) = 0.
-1, 3, 5
Let w(h) be the second derivative of 4*h**4 - 7*h + 32*h**3 + 3/20*h**5 + 0*h**2 + 0. Determine j, given that w(j) = 0.
-8, 0
Let w(q) = -6*q**2 - 22*q - 28. Let a(n) = 4*n**2 + 15*n + 19. Let m be ((-3)/(-3) - 3)*5/2. Let v(y) = m*w(y) - 8*a(y). Let v(k) = 0. What is k?
-3, -2
Suppose -418*x**4 + 3*x**5 - 4*x**5 + 414*x**4 - 4*x**3 = 0. Calculate x.
-2, 0
Let f be 198/726*4/12. Factor 0 + 1/11*b**2 + f*b.
b*(b + 1)/11
Suppose o - 12 = -3*o. Let l be 2/(-5) + (-255)/(-75). What is r in -8*r**3 + 4*r**5 + 4*r**4 - l*r + o*r - 4*r**2 + 4*r**3 = 0?
-1, 0, 1
Let r(k) = 2*k - 42. Let t be r(0). Let q be t/(2 - 4) + 0. Factor 2*o + o - 3*o**3 - 3*o**2 - q + 24.
-3*(o - 1)*(o + 1)**2
Suppose 2*h + 5 - 1 = 2*s, -3*s = 3*h - 12. Let x be 2 + 4/(1 + s). Let 7*g**2 - 3*g**2 - x*g**2 - 1 = 0. What is g?
-1, 1
Let g(y) be the second derivative of y**7/21 - y**6/3 + 20*y**4/3 - 80*y**3/3 + 48*y**2 - 129*y. Determine n, given that g(n) = 0.
-3, 2
Let f(b) be the first derivative of -2/15*b**3 - 4/5*b - 3/5*b**2 - 6. Determine k so that f(k) = 0.
-2, -1
Factor -11*w - 21/2 - 1/2*w**2.
-(w + 1)*(w + 21)/2
Let q = 5797/42 + -138. Let w(l) be the second derivative of 3/7*l**2 - q*l**4 + 0 - 3*l + 2/21*l**3. Suppose w(j) = 0. What is j?
-1, 3
Let h(z) be the third derivative of -1/280*z**7 + 1/480*z**6 - 1/48*z**4 - 7*z**2 + 1/1344*z**8 + 0*z**3 + 0 + 1/80*z**5 + 0*z. Let h(p) = 0. Calculate p.
-1, 0, 1, 2
Let x(d) = 15*d - 15*d - 3*d**3 + 27*d**2 - 30. Let f(i) = -i**2 + 1. Suppose 2 = l - 3*c - 5, -l = 2*c + 3. Let m(w) = l*x(w) + 18*f(w). Solve m(v) = 0 for v.
-1, 2
Let n(w) be the first derivative of w**3/4 - 39*w**2/8 - 45*w/2 + 6. Factor n(p).
3*(p - 15)*(p + 2)/4
Determine f, given that 1084*f**2 - 7*f**4 - 904*f**2 + 155*f - 3*f**4 + 55*f**3 + 40 = 0.
-1, -1/2, 8
Let j(t) be the third derivative of -t**5/72 - 5*t**4/9 - 65*t**3/12 - 253*t**2. Find a, given that j(a) = 0.
-13, -3
Let o(p) be the second derivative of 8/21*p**3 - 1/35*p**5 + 0 - 2*p + 0*p**2 + 2/105*p**6 - 4/21*p**4. Find g, given that o(g) = 0.
-2, 0, 1, 2
Factor 6*r**4 + 0*r - 4*r - 6*r**3 - 2*r**5 - 2*r**2 + 4*r + 4*r**2.
-2*r**2*(r - 1)**3
Suppose 0 = 2*k + 8 + 4. Let h be 2/(0 - 3 - k). What is w in -2/9*w**3 + h*w**2 + 2/9 - 2/3*w = 0?
1
Let b = -51 - -56. Factor 364*h**2 + 245*h**3 + 255*h + 45 + 96*h**2 - b*h**2.
5*(h + 1)*(7*h + 3)**2
Let a = 35 - 104/3. Let b(i) be the first derivative of -1/9*i**3 - 11 - 1/3*i + a*i**2. Factor b(y).
-(y - 1)**2/3
Let l(q) = 3*q**2 + 47*q + 46. Let b(i) = 2*i + 1. Let t(k) = 2*b(k) + l(k). Factor t(w).
3*(w + 1)*(w + 16)
Let m(v) be the first derivative of -v**4/2 + 4*v**3/