0. What is m?
-2, -1, 2/3
Suppose 62*s - 124*s + 63*s - s**3 = 0. Calculate s.
-1, 0, 1
Let s = 5269/5 - 1053. What is i in s*i**2 + 6/5*i + 0 + 2/15*i**3 = 0?
-3, 0
Factor 2/3*t**3 + 16*t**2 + 52/3 - 34*t.
2*(t - 1)**2*(t + 26)/3
Let t(p) be the second derivative of p**5/100 - p**4/30 - 16*p**3/15 + 48*p**2/5 + 299*p. Factor t(b).
(b - 4)**2*(b + 6)/5
Let r(n) = -n**2 - 1. Let o(d) = -3*d - 17. Let w(v) = v**2 + v + 8. Let s(g) = -2*o(g) - 5*w(g). Let h(a) = -6*r(a) + s(a). Factor h(m).
m*(m + 1)
Let n(z) be the second derivative of z**4/12 + 67*z**3/6 + 33*z**2 - 532*z. Solve n(c) = 0.
-66, -1
Suppose -10*c = 4*c - 28. Determine g so that -2*g**c - 11*g + 21*g + 11*g + 5*g**2 = 0.
-7, 0
Let a = 34 + -30. Suppose -2*f**2 - 9*f**a + 9*f**3 - 3*f + f**2 - 2*f**2 + 6*f**3 = 0. Calculate f.
-1/3, 0, 1
Let v(m) be the third derivative of -m**5/100 - 59*m**4/40 + 6*m**3 - 436*m**2. Find h, given that v(h) = 0.
-60, 1
Suppose -n = -3*l - 3 + 22, -2*l + 5*n = 9. Let g be 10/4 + ((-4)/l)/1. Factor 2/5*u**4 + 16/5*u**2 + 0 + g*u**3 + 8/5*u.
2*u*(u + 1)*(u + 2)**2/5
Let x(m) be the second derivative of 32*m**6/105 + 52*m**5/7 - 67*m**4/7 + 29*m**3/6 - 17*m**2/14 + 163*m. Factor x(k).
(k + 17)*(4*k - 1)**3/7
Let z(t) be the third derivative of -t**5/140 + 83*t**4/28 - 6889*t**3/14 + 3*t**2 + 2. Factor z(n).
-3*(n - 83)**2/7
Let r(i) be the first derivative of 8*i - 8/3*i**4 - 8/3*i**3 + 6 + 0*i**2 + i**5. Let g(x) be the first derivative of r(x). Find a, given that g(a) = 0.
-2/5, 0, 2
Let f = 46 - 43. Factor 8*q**f + 28*q**3 + 25*q**2 - 5*q**2 - 8*q**3 - 8*q.
4*q*(q + 1)*(7*q - 2)
Let h = -79 - -81. Determine j so that -3/8*j**h - 3/4*j**3 + 3/8*j + 0 = 0.
-1, 0, 1/2
Let v be -6 + 1 + -7 + 12. Suppose 0 = 4*m + g - 7, -m = -g - 3 - v. Let 10/17*a**m + 8/17 + 2/17*a**3 + 16/17*a = 0. Calculate a.
-2, -1
Let n(a) = 6*a + 4. Let v(j) be the second derivative of j**4/12 - j**3 - 2*j**2 - 14*j. Let i(g) = 3*n(g) + 2*v(g). Factor i(d).
2*(d + 1)*(d + 2)
Factor 3*i - 3/7*i**2 - 18/7.
-3*(i - 6)*(i - 1)/7
Let m = 36071/3 + -12023. Factor 0*c + 0 + 1/3*c**2 + m*c**3 + 1/3*c**4.
c**2*(c + 1)**2/3
Let l(y) = y**2 + 104*y - 209. Let w be l(2). Let u(c) be the second derivative of 0*c**w + 0 + 0*c**2 - 1/50*c**5 - 7*c + 0*c**4. Let u(r) = 0. Calculate r.
0
Let s(b) = 2*b**4 - b**3 - b**2 + b. Let n(q) = 3*q**4 - 44*q**3 - 442*q**2 + 44*q + 441. Let d(h) = 3*n(h) - 6*s(h). Factor d(u).
-3*(u - 1)*(u + 1)*(u + 21)**2
Let h be ((-25)/75)/(2/104). Let y = h + 18. Factor -y*g**3 + 4/9 - 16/9*g**2 - 2/3*g.
-2*(g + 1)*(g + 2)*(3*g - 1)/9
Suppose 4376*s - 4398*s = -264. Factor 192*v + 192 + s*v**3 + 3/4*v**4 + 72*v**2.
3*(v + 4)**4/4
Suppose 2/5*w**5 + 256/5*w + 26/5*w**4 - 64*w**2 + 36/5*w**3 + 0 = 0. Calculate w.
-8, 0, 1, 2
Let p(x) = 33*x**2 + 81*x + 396. Let b(c) = -9*c**2 - 23*c - 113. Let w(k) = 18*b(k) + 5*p(k). Factor w(d).
3*(d - 6)*(d + 3)
Let m be 1/(-5) - (-24)/30. Suppose 1 = 7*n - 20. Factor m*s**n + 0*s + 3/5*s**2 + 0.
3*s**2*(s + 1)/5
Let w(k) be the third derivative of 3*k**2 - 1/42*k**4 - 2/21*k**3 + 1/84*k**5 + 0*k - 1/2352*k**8 - 1/1470*k**7 + 1/168*k**6 + 0. Let w(p) = 0. Calculate p.
-2, -1, 1, 2
Let s = -2/2217 - -1480/2217. Let l(i) be the first derivative of s*i**3 - 4 + 0*i - 2/5*i**5 + 2*i**2 - i**4. Find a such that l(a) = 0.
-2, -1, 0, 1
Let i(k) be the first derivative of -k**6/3420 + k**5/114 - 3*k**4/76 + 16*k**3/3 + 10. Let v(b) be the third derivative of i(b). What is y in v(y) = 0?
1, 9
Let i(t) be the first derivative of -t**6/60 + 11*t**5/50 - 23*t**4/20 + 3*t**3 - 81*t**2/20 + 27*t/10 - 189. Find z, given that i(z) = 0.
1, 3
Let f(t) be the first derivative of -2*t**5/15 + t**4 - 8*t**3/3 + 10*t**2/3 - 2*t - 59. Factor f(d).
-2*(d - 3)*(d - 1)**3/3
Let y(f) be the second derivative of f**7/21 + f**6/3 - 7*f**5/10 - 5*f**4/6 + 2*f**3 + 100*f. Find l such that y(l) = 0.
-6, -1, 0, 1
Let t(g) be the first derivative of -2*g**3/3 + 88*g**2 - 3872*g + 23. Factor t(x).
-2*(x - 44)**2
Let h(i) = -i**2 + 15*i + 5. Let u be h(15). Factor u*n**2 - 18*n + 26*n - 18*n - 15.
5*(n - 3)*(n + 1)
Let k(h) be the second derivative of -h**6/480 + h**5/16 - 25*h**4/32 - 7*h**3/3 + h - 11. Let o(r) be the second derivative of k(r). Let o(g) = 0. What is g?
5
Let d(f) = f + 9. Let h be d(-4). Suppose -2*n - 2 + 10 = 0. Factor n*y**h - 4*y**3 - 134 + 134.
4*y**3*(y - 1)*(y + 1)
Let n = 14 + -11. Suppose 3*u**5 + 2*u**4 + n*u**3 - 3*u**2 + u**4 - 6*u**5 = 0. What is u?
-1, 0, 1
Let b(c) be the second derivative of 5*c**4/6 - 92*c**3/33 + 28*c**2/11 - 14*c - 1. Suppose b(n) = 0. What is n?
2/5, 14/11
Let f(v) be the third derivative of 2048*v**6/15 + 256*v**5/5 + 8*v**4 + 2*v**3/3 - 420*v**2. Factor f(d).
4*(16*d + 1)**3
Let p(s) be the third derivative of 0*s + 0 + 1/12*s**5 + 25*s**2 - 5/3*s**3 - 5/24*s**4. Factor p(w).
5*(w - 2)*(w + 1)
Determine k so that 54*k + 324 - 42*k**2 - 2/9*k**4 + 50/9*k**3 = 0.
-2, 9
Let n(r) be the first derivative of r**4/8 + 17*r**3/6 + 16*r**2 + 24*r + 64. Let n(d) = 0. Calculate d.
-12, -4, -1
Suppose 30 = 3*f + 15. Find a such that -2*a**2 - 115*a**3 + 0*a + 105*a**f + 10*a + 0*a**2 - 3*a**2 + 5*a**4 = 0.
-1, -1/3, 0, 2/7, 1
Let p = 99 - -1125. Factor 3*a - 7*a**5 + a**5 - 3*a**2 + 15*a**4 - p*a**3 + 1215*a**3.
-3*a*(a - 1)**3*(2*a + 1)
Let s(x) = -x**4 + 15*x**3 - 45*x**2 + 31*x. Let t(r) = -5*r**4 + 45*r**3 - 135*r**2 + 95*r. Let n(q) = 10*s(q) - 3*t(q). Factor n(c).
5*c*(c - 1)**2*(c + 5)
Suppose 0 = 660*x - 646*x - 28. Factor 2/9*y**3 + 5/9*y**x - 1/9*y**4 - 2/3*y + 0.
-y*(y - 3)*(y - 1)*(y + 2)/9
Suppose -38/9*b - 28/3 + 2/9*b**2 = 0. Calculate b.
-2, 21
Let h = -40 - -43. Find b such that 36*b + 33*b**2 + 12 - 18*b**4 + 9*b**4 + 3*b**3 - h*b**5 + 0 = 0.
-2, -1, 2
Let -36*x - 78*x**5 + 2*x**3 + 42*x**2 - 10*x**4 + 32*x**5 + 48*x**5 = 0. Calculate x.
-2, 0, 1, 3
Let c(l) be the first derivative of -l**5/30 - l**4/3 - l**3 + 3*l**2 + 10. Let a(o) be the second derivative of c(o). Suppose a(q) = 0. Calculate q.
-3, -1
Solve 464*m**2 - 246*m**4 + 140*m**5 + 28 + 55*m**4 - 445*m**4 - 50*m**5 - 214*m - 20*m**3 = 0 for m.
-1, 1/3, 2/5, 7
Let u be 29/9 + 16/(-72). Factor -16*m**4 + 18*m**u - 14*m**2 + 24*m**2 - 11*m**4 - 6*m - m - 27*m**5 + 1.
-(m + 1)**2*(3*m - 1)**3
Let o(s) be the third derivative of s**7/105 + 2*s**6/15 + 13*s**5/30 + s**4/2 + 2*s**2 - 408. Find n such that o(n) = 0.
-6, -1, 0
Let v(x) = -x**3 - 9*x**2 + 11*x + 12. Let z be v(-10). Let b be (5/(-2) + z)/((-8)/36). Determine w, given that -9/4*w + 3/4 + b*w**2 - 3/4*w**3 = 0.
1
Let u(r) be the third derivative of r**5/330 + 81*r**4/44 - 244*r**3/33 - 908*r**2. Factor u(q).
2*(q - 1)*(q + 244)/11
Let s(q) = 9 - 3 - 33*q + 31*q + 7. Let n be s(5). Determine y, given that n*y - 3*y**3 + 4*y**2 - 4 - 3 + 4 - y**2 = 0.
-1, 1
Let k be (37/370)/(4/30). Let n(h) be the first derivative of -k*h**2 - 5 - 1/6*h**3 - h. Factor n(i).
-(i + 1)*(i + 2)/2
Let j(k) be the second derivative of 0 - 3*k + 1/48*k**5 - 7/96*k**4 + 1/120*k**6 - k**2 - 1/12*k**3. Let c(l) be the first derivative of j(l). Factor c(f).
(f - 1)*(f + 2)*(4*f + 1)/4
Let n = -47 + 37. Let b(r) = -5*r**3 - 6*r**2 - 3*r - 5. Let i(w) = -16*w**3 - 18*w**2 - 8*w - 16. Let p(z) = n*b(z) + 3*i(z). Factor p(d).
2*(d + 1)**3
Solve -2*g + 20*g**2 - 18*g**4 + 14*g + 16*g**5 - 3*g**3 - 21*g**5 - 6*g**3 = 0.
-2, -3/5, 0, 1
Let c = 234/67 - 1103/335. Factor -2/5*u**2 + 2/5 + c*u**3 - 1/5*u.
(u - 2)*(u - 1)*(u + 1)/5
Factor 3/5*x**4 + 27/5*x - 27/5*x**3 + 0 - 3/5*x**2.
3*x*(x - 9)*(x - 1)*(x + 1)/5
Let y be 3/(-5) - 18/45. Let j(t) = 4*t**4 - 21*t**2 + 5*t - 5. Let a(i) = i**2 - i + 1. Let h(m) = y*j(m) - 5*a(m). Factor h(b).
-4*b**2*(b - 2)*(b + 2)
Suppose -8*z + 0 = -32*z - 0. Determine r so that -8/5*r**2 - 36/5*r**3 + 36/5*r**5 + 8/5*r**4 + 0*r + z = 0.
-1, -2/9, 0, 1
Suppose 18*r - 7 = 11*r. Let h be r/(((-8)/16)/(6/(-4))). Factor -1/6*t**2 + 0 + 0*t + 0*t**h + 1/6*t**4.
t**2*(t - 1)*(t + 1)/6
Let u(l) be the first derivative of l**4/2 - 20*l**3/7 + 36*l**2/7 - 16*l/7 + 95. Factor u(s).
2*(s - 2)**2*(7*s - 2)/7
Suppose 0 = 49*o - 59 - 39. Let r(a) be the first derivative of 0*a + 5/24*a**4 - 5 - 3/10*a**5 + 1/6*a**o - 7/36*a**6 + 1/2*a**3. What is z in r(z) = 0?
-1, -2/7, 0, 1
What is y in 3*y - 3/4*y**5 + 9