-26)/(-7) - 0) + 10/o. Suppose -2*n**3 - 14/9*n**z + 4/3*n + 0 + 14/9*n**2 + 2/3*n**5 = 0. Calculate n.
-1, -2/3, 0, 1, 3
Factor 30*l**3 + 63*l**2 - 122 - 74*l + 20*l + 3*l**4 - 125 - 53 - 66*l.
3*(l - 2)*(l + 2)*(l + 5)**2
Let o = 74 + -49. Suppose -30*i = -o*i - 25. Factor 0*u + 0 - 2/3*u**4 + 0*u**2 + 4/3*u**3 - 2/3*u**i.
-2*u**3*(u - 1)*(u + 2)/3
Let t(j) be the second derivative of 0 - 8*j - 1/40*j**5 + 0*j**3 + 1/24*j**4 + 0*j**2. Suppose t(u) = 0. What is u?
0, 1
Let b(p) = 25*p**5 - 86*p**4 + 85*p**3 + p**2 - 19*p. Let c(s) = 4*s**4 + s**2 + s. Let l(o) = -b(o) + c(o). Let l(f) = 0. What is f?
-2/5, 0, 1, 2
Let a(m) = -3*m**4 + 36*m**3 + 63*m**2 + 30*m + 6. Let g(o) = o**3 - o**2 - o + 1. Let i(d) = -a(d) + 6*g(d). Let i(b) = 0. Calculate b.
-1, 0, 12
Let y(u) be the second derivative of -11*u**4/16 + 21*u**3/2 + 12*u**2 - 3*u + 5. Let y(p) = 0. Calculate p.
-4/11, 8
Let j(h) = h**3 - 3*h**2 + 3*h - 2. Suppose -6*y = -3*y - 6. Let a be j(y). Suppose a*m + 6*m**2 + m + 2*m - 3*m**3 - 1 - 5 = 0. Calculate m.
-1, 1, 2
Let b(h) = 4*h**3 - 28*h**2 + 30*h + 62. Suppose 3*z - 3*s = 0, 4*z + 2*s + 6 = 18. Let r(l) = l + 1. Let g(x) = z*r(x) + b(x). Factor g(k).
4*(k - 4)**2*(k + 1)
Find w, given that 18 - 110*w + 2*w**3 - 104*w + 252*w + 22*w**2 = 0.
-9, -1
Determine m, given that -1/6*m**4 - 2/3*m**3 + 1/6*m**2 + 0 + 2/3*m = 0.
-4, -1, 0, 1
Find s such that 384/7 + 22/7*s**2 - 1/7*s**3 - 160/7*s = 0.
6, 8
Solve 52/7*s**4 - s + 66/7*s**2 - 9/7*s**5 - 96/7*s**3 - 6/7 = 0.
-2/9, 1, 3
Let n(j) be the third derivative of j**9/1680 + j**8/3360 - j**7/280 - j**6/360 - j**4/6 - 8*j**2. Let c(l) be the second derivative of n(l). Solve c(o) = 0.
-1, -2/9, 0, 1
Let r(i) be the first derivative of i**8/1680 - i**7/840 - 10*i**3/3 + 8. Let j(a) be the third derivative of r(a). Let j(z) = 0. What is z?
0, 1
Let f(v) = v**2 - v. Let o(d) = 4*d + 7 - 356*d**2 + 0*d + 360*d**2 - 3*d. Let l(k) = -5*f(k) + o(k). Factor l(t).
-(t - 7)*(t + 1)
Suppose 0 = 4*d + 53 + 43. Let o be (-60)/18*d/20. Factor -2/3*b**3 + 2/3*b - 5/3*b**2 + 0 + 5/3*b**o.
b*(b - 1)*(b + 1)*(5*b - 2)/3
Find y such that 0 + 0*y - 6/5*y**3 + 6/5*y**4 + 2/5*y**2 - 2/5*y**5 = 0.
0, 1
Let r(g) be the third derivative of g**5/240 - 3*g**3/8 - 2*g**2 + 23. Determine a, given that r(a) = 0.
-3, 3
Let z be (-11)/4 - (-9 + -10 - -16). Let u(v) be the second derivative of 1/8*v**3 + 1/48*v**4 + z*v**2 + 0 + 7*v. Solve u(j) = 0 for j.
-2, -1
Let o(a) = a**2 - 18*a - 59. Let d be o(-3). Factor 0 + 25/2*q**2 - 5/2*q**5 + 15/2*q**3 + 5*q - 5/2*q**d.
-5*q*(q - 2)*(q + 1)**3/2
Let z = 12 - 10. Suppose -z*b = -6*b - 5*v + 55, 32 = 2*b - 2*v. Factor 2*f**3 - b*f**2 + 18*f**3 + 0*f - 5*f.
5*f*(f - 1)*(4*f + 1)
Let y(a) be the first derivative of -a**5/20 + 17*a**4/16 + 17*a**3/2 + 43*a**2/2 + 22*a + 336. Determine x, given that y(x) = 0.
-2, -1, 22
Let a(q) be the first derivative of -5*q**4/12 - 5*q**3 + 22*q + 27. Let h(s) be the first derivative of a(s). Factor h(v).
-5*v*(v + 6)
Let x be (3/(-7) - -1)*3682/789. Factor 34/3*k**2 + 1/3*k**5 + x*k**4 + 2 + 23/3*k + 8*k**3.
(k + 1)**3*(k + 2)*(k + 3)/3
Let m(s) be the first derivative of -5/2*s**4 + 0*s + 35/3*s**3 + 5*s**2 - 7*s**5 - 21. Suppose m(k) = 0. Calculate k.
-1, -2/7, 0, 1
Let k(d) be the second derivative of 0 - 2/15*d**6 + 2/3*d**4 + 0*d**3 + 24*d + 0*d**2 - 1/5*d**5. Let k(y) = 0. What is y?
-2, 0, 1
Let y(f) = -f**2 + f - 1. Let r(i) = -i**2 + i - 4. Let a(x) = -x**2 + x - 7. Let l(c) = -3*a(c) + 5*r(c). Let o(b) = -l(b) + y(b). Factor o(h).
(h - 2)*(h + 1)
Let i be (1 + (-15)/(-35))/(-10*9/(-405)). Let -3/7*c**4 + i*c**2 + 18/7 - 9/7*c**3 - 51/7*c = 0. What is c?
-6, 1
Suppose -4*d - 2*m = 86, -4*m = -3*m - 1. Let h be (11/(d/12))/(-14). Factor -6/7 - h*t**2 + 9/7*t.
-3*(t - 2)*(t - 1)/7
Let j(m) be the third derivative of m**7/210 - m**6/10 - 13*m**5/60 + 3*m**2 - 20*m. Determine s so that j(s) = 0.
-1, 0, 13
Let o(x) be the third derivative of 0*x**4 + 0 - 4*x**2 - 1/840*x**8 - 1/75*x**6 + 4/525*x**7 + 0*x + 0*x**3 + 0*x**5. Factor o(u).
-2*u**3*(u - 2)**2/5
Suppose -2*r = 4*g, g + 3*r = 5*r. Let u(c) be the third derivative of 0*c + g*c**5 + 0 - 6*c**2 - 1/132*c**4 + 0*c**3 + 1/660*c**6. Solve u(s) = 0.
-1, 0, 1
Suppose z + 42 - 42 = 0. Suppose -5*f = -z*f - 10. Solve -3/8*w**3 - 1/4*w**f - 1/4 + 7/8*w = 0.
-2, 1/3, 1
Let p = -72 - -71. Let f be (-2)/(-12) - p/6. Let f*d - 1/3*d**3 + 0*d**2 + 0 = 0. What is d?
-1, 0, 1
Let x(f) be the first derivative of -20/3*f**3 + 25/4*f**4 + 10 + 0*f - 5/2*f**2. Factor x(j).
5*j*(j - 1)*(5*j + 1)
Let l(z) = -z**3 - z**2 + 2*z. Let d(a) = a**2 - 6*a - 29. Let s be d(9). Let t be l(s). Let 2/11*f + t - 2/11*f**2 - 2/11*f**3 + 2/11*f**4 = 0. Calculate f.
-1, 0, 1
Let u(z) be the second derivative of z**6/1980 + z**5/330 + z**4/132 + 25*z**3/6 - 25*z. Let o(x) be the second derivative of u(x). Find t, given that o(t) = 0.
-1
Let f(k) = 8 - 2*k**3 - 15*k + 4*k**3 + 2*k**3 - k**3. Let s(c) = c**3 + 1. Let o(l) = f(l) + 2*s(l). Factor o(m).
5*(m - 1)**2*(m + 2)
Let x(i) = 53*i**3 - 109*i**2 + 29*i - 14. Let m(p) = 35*p**3 - 73*p**2 + 19*p - 10. Let a(f) = 7*m(f) - 5*x(f). Suppose a(y) = 0. What is y?
0, 1/2, 6/5
Let l = -16024 + 16024. What is v in -5/6*v**4 - 2/3*v**2 + 4/3*v**3 + 0*v + 1/6*v**5 + l = 0?
0, 1, 2
Let h(r) be the second derivative of 7*r**6/255 - r**5/85 + 7*r. Suppose h(g) = 0. Calculate g.
0, 2/7
Let p be 0/(90/(12 + 3)). Solve 1/4*h**2 + 1/2*h**3 - 3/4*h**4 + p + 0*h = 0 for h.
-1/3, 0, 1
Suppose -3*c + 3*z - 20 = 2*c, 5*z = -5*c - 20. Let f be (1/3)/(c/(-204)). Suppose f*a - 45 - 5*a + 27 - 2*a**2 = 0. Calculate a.
3
Let u(i) = -3*i**3 + 13*i**2 + 10*i - 20. Let j(h) = 2*h**3 - 7*h**2 - 5*h + 10. Let r(o) = -7*j(o) - 3*u(o). Factor r(p).
-5*(p - 2)*(p - 1)*(p + 1)
Let r(l) = 18*l - 79. Let h be r(5). Suppose -20*k = -h*k. Factor -8/7*v**4 - 34/7*v**3 - 40/7*v**2 - 8/7*v + k.
-2*v*(v + 2)**2*(4*v + 1)/7
Let n = 19 + -15. Factor -c**5 - 11*c**4 + n*c**5 - 2*c - 5*c**5 + 3*c**4 - 12*c**3 - 8*c**2.
-2*c*(c + 1)**4
Let l(s) = 6*s**2 + 4*s + 2. Let q be l(0). Let r(z) be the first derivative of 3*z - 3/4*z**q - 8 - 1/2*z**3. Suppose r(a) = 0. What is a?
-2, 1
Let x(i) be the second derivative of -i**7/14 + 21*i**5/20 + i**4/2 - 6*i**3 - 12*i**2 + 218*i. Determine o, given that x(o) = 0.
-2, -1, 2
Factor -130*y**2 - 2197000/3 + 1/3*y**3 + 16900*y.
(y - 130)**3/3
Solve -f**2 + 4*f**2 - 4768*f + 28 + 4789*f + 2 = 0 for f.
-5, -2
Suppose -3*y + 0*l + 2*l = -17, -l + 11 = 5*y. Let s be (-12)/42 - 32/(-14). Determine f, given that y*f + 7/3*f**3 - 1/3*f**4 + 0 - 5*f**s = 0.
0, 1, 3
Let q(k) be the third derivative of k**8/80640 + k**7/3360 + k**6/576 + k**5/4 + 16*k**2. Let l(h) be the third derivative of q(h). Find t, given that l(t) = 0.
-5, -1
Let b(h) = 9*h**3 + 5*h**2 - 4*h + 5. Let w(c) = 13*c**3 + 7*c**2 - 6*c + 7. Let s be (5/2)/(2/(-4)). Let l(x) = s*w(x) + 7*b(x). Let l(p) = 0. Calculate p.
-1, 0, 1
Factor -14/11*u**3 - 20/11*u + 38/11*u**2 + 0.
-2*u*(u - 2)*(7*u - 5)/11
Factor -3/2*l**2 + 15/2*l + 0.
-3*l*(l - 5)/2
Let j be 4/(-10) + 84/(-15). Let d be j*(-3)/(8 + 1). Let 4 - 7*k + 8*k**2 - d - 3*k + 2 - 2*k**3 = 0. What is k?
1, 2
Let m(x) be the second derivative of x**7/2100 - x**6/1800 - x**5/600 + 7*x**3/3 + 6*x. Let u(k) be the second derivative of m(k). Factor u(q).
q*(q - 1)*(2*q + 1)/5
Let q(g) be the third derivative of -g**7/3360 - g**6/480 - g**5/160 - g**4/96 + 10*g**3/3 + 15*g**2. Let k(r) be the first derivative of q(r). Factor k(s).
-(s + 1)**3/4
Suppose 2*z - 4 = 2*m, 52 - 32 = 2*m + 4*z. Determine v so that 0*v - 1/3*v**4 + 0 + 1/3*v**3 + 1/3*v**m - 1/3*v**5 = 0.
-1, 0, 1
Let h = -1012 - -1012. Factor -1/4*q + h*q**3 + 1/2*q**4 + 1/4*q**5 + 0 - 1/2*q**2.
q*(q - 1)*(q + 1)**3/4
Let p = 1/2388 + 397/2388. Factor 0 - p*b**3 + 1/2*b + 1/3*b**2.
-b*(b - 3)*(b + 1)/6
Let o be (-77)/(-176)*8*(4/7 + 0). Suppose 1/8*d + 1/8*d**o - 1/4 = 0. What is d?
-2, 1
Factor 2/13*m**2 - 28/13*m + 0.
2*m*(m - 14)/13
Let q(t) be the first derivative of -t**4 + 60*t**3 + 186*t**2 + 188*t - 322. What is b in q(b) = 0?
-1, 47
Let s(n) be the third derivative of -n**6/780 + n**5/30 + n**4/156 - n**3/3 + 775*n**2. Factor s(y).
-2*(y - 13)*(y - 1)*(y + 1)/13
Suppose 0 = -207*y + 30*y + 61*y - 149*y.