= 0. Calculate h.
-1, 0, 1
Let s be 0 + (4 - (-1 - -4)). Let j(z) = 6*z**3 + 14*z**2 + 2*z - 2. Let t(n) = n**3 + n**2 + n - 1. Let a(v) = s*j(v) - 2*t(v). Let a(o) = 0. Calculate o.
-3, 0
Let y = -10845 + 10850. Factor 32/13*o + 38/13*o**3 + 8/13 + 14/13*o**4 + 2/13*o**y + 50/13*o**2.
2*(o + 1)**3*(o + 2)**2/13
Let d(f) be the first derivative of -f**6/1080 + f**5/180 - f**4/72 + 7*f**3/3 + 28. Let t(x) be the third derivative of d(x). Determine i, given that t(i) = 0.
1
Let z(i) = 7*i - 5. Let m be z(1). What is a in -255*a**2 + 35*a**4 - 26*a**3 - 40 - 34*a**3 - 43*a - 10*a**m - 167*a = 0?
-1, -2/7, 4
Let t(b) be the first derivative of 5*b**6/6 - 57*b**5 - 295*b**4/2 - 10*b**3/3 + 585*b**2/2 + 295*b - 85. Suppose t(r) = 0. Calculate r.
-1, 1, 59
Let b(g) be the third derivative of -2*g**7/105 + 11*g**6/30 + 13*g**5/5 + 41*g**4/6 + 28*g**3/3 - 40*g**2. Suppose b(a) = 0. What is a?
-1, 14
Find y, given that -41/2*y**2 - 800 - 1/4*y**3 - 440*y = 0.
-40, -2
Let i(s) be the first derivative of s**3/9 - 3*s**2 - 115*s/3 + 49. Factor i(c).
(c - 23)*(c + 5)/3
Let l(c) be the second derivative of -1/360*c**6 - 4*c + 0 + 0*c**4 + 0*c**2 - 1/120*c**5 - 2/3*c**3. Let g(f) be the second derivative of l(f). Factor g(q).
-q*(q + 1)
Let v be 4/(-3) + (-240)/(-45). Factor j + 3*j**v + 3*j**2 - 2*j + 0*j**2 - 3*j**3 - 2*j**4.
j*(j - 1)**3
Let j = -9 - -14. Let y be (-1 + 1)*(-57)/(-114). Let 1/3*x**3 + x**j + y*x**2 + 0*x + 4/3*x**4 + 0 = 0. Calculate x.
-1, -1/3, 0
Let c be 2*50/70 + (-8)/(-14). Let f(o) be the first derivative of 2/21*o**3 + 6 - 5/7*o**c + 8/7*o. Factor f(x).
2*(x - 4)*(x - 1)/7
Let b(s) be the first derivative of s**3/9 + 28*s**2/3 + 784*s/3 + 106. Find f such that b(f) = 0.
-28
Let c be (-15)/2*(-10)/50. Let m be ((-21)/15)/(4/(-10)). Suppose 0 + 0*s + s**2 + m*s**5 - 6*s**4 + c*s**3 = 0. What is s?
-2/7, 0, 1
Let i(y) be the first derivative of y**3/9 + 4*y**2/3 + 70. Factor i(v).
v*(v + 8)/3
Let p(d) be the first derivative of -d**6/150 + d**5/50 - d**4/60 + 4*d + 9. Let l(w) be the first derivative of p(w). Factor l(t).
-t**2*(t - 1)**2/5
Let g be -1*5 - (2 - (4 + -4)). Let b be g/21 + 23/15. Factor 0 + 0*i**2 + 0*i + 0*i**3 + b*i**5 + 4/5*i**4.
2*i**4*(3*i + 2)/5
Let g(u) be the second derivative of u**7/126 + u**6/30 + u**5/60 - u**4/12 - u**3/9 + 452*u. Find x such that g(x) = 0.
-2, -1, 0, 1
Let y be (-598)/(-184) + 678/(-216). Solve 8/9*v**2 - y*v**5 + 0*v**4 + 1/3*v + 2/3*v**3 + 0 = 0 for v.
-1, 0, 3
Let q = -168 + 170. Let n(w) be the first derivative of 1/14*w**4 - 1/7*w**q - 4/7*w + 4/21*w**3 - 3. Find s such that n(s) = 0.
-2, -1, 1
Let a(m) be the second derivative of 10*m - 3/70*m**5 + 0*m**2 - 1/42*m**4 + 0 + 0*m**3. Factor a(g).
-2*g**2*(3*g + 1)/7
Determine r so that -2*r**3 + 1/4*r**4 + 3 + 23/4*r**2 - 7*r = 0.
1, 2, 3
Let o = 641/1056 - -21/352. Factor 0 + 1/3*p**5 - 7/3*p**2 + 3*p**3 - 5/3*p**4 + o*p.
p*(p - 2)*(p - 1)**3/3
Let w(c) be the second derivative of 2*c**6/135 - c**5/5 - 11*c**4/9 - 70*c**3/27 - 8*c**2/3 - 2*c + 29. What is q in w(q) = 0?
-1, 12
Let y = 2976 + -892799/300. Let h(v) be the third derivative of -y*v**6 + 0*v - 2/15*v**3 - 1/12*v**4 + 3*v**2 - 2/75*v**5 + 0. Solve h(o) = 0.
-2, -1
Let y(d) be the first derivative of 5*d**4/4 - 745*d**3/3 + 27375*d**2/2 + 28125*d + 23. Factor y(o).
5*(o - 75)**2*(o + 1)
Suppose 25*s**2 - 166 + 136 + 7*s**4 + 25*s**3 - 2*s**4 - 25*s = 0. Calculate s.
-3, -2, -1, 1
Let w(p) = 8*p**3 + 43*p**2 + 109*p - 163. Let d(v) = -6*v**3 - 44*v**2 - 110*v + 162. Let l(u) = -6*d(u) - 4*w(u). Determine t so that l(t) = 0.
-20, -4, 1
Factor -152*x**3 + 15*x**4 - 20*x + 142*x**3 - 20*x + 0*x**5 - 60*x**2 + 5*x**5.
5*x*(x - 2)*(x + 1)*(x + 2)**2
Suppose 4*a + 29*a - 3744 = 7*a. What is l in a - 72*l + 12*l**2 - 2/3*l**3 = 0?
6
Let d(n) be the second derivative of n**6/45 + n**5/6 + 4*n**4/9 + 4*n**3/9 - 2*n - 37. Factor d(t).
2*t*(t + 1)*(t + 2)**2/3
Suppose -100 = -4*m - m. Let b be (-1)/(m/8 - 3). Suppose -3*a**3 - 6*a**b + 5*a + 0 - 2*a + 0 + 6*a**4 = 0. Calculate a.
-1, 0, 1/2, 1
Suppose -3*c + 614 = 614. Factor 1/5*n**3 + 0*n**2 + c + 0*n - 1/5*n**4.
-n**3*(n - 1)/5
Let q(x) be the first derivative of 2*x**5/35 - 13*x**4/14 + 32*x**3/7 - 36*x**2/7 + 164. Factor q(f).
2*f*(f - 6)**2*(f - 1)/7
Suppose -2*q + 15 = -3*p, -7*p + 3*q = -3*p + 20. Let h be p - (355/(-35) + 4). What is r in -2/7*r**3 - 16/7*r - 10/7*r**2 - h = 0?
-2, -1
Let m(a) = -8*a**3 - 598*a**2 - 10357*a. Let n(y) = -4*y**3 - 300*y**2 - 5178*y. Let i(o) = -6*m(o) + 11*n(o). Factor i(h).
4*h*(h + 36)**2
Let t(m) be the third derivative of -m**6/80 - 2*m**5/5 + 35*m**4/16 - 9*m**3/2 - 17*m**2. Solve t(a) = 0.
-18, 1
Let x(w) be the second derivative of -w**6/6 + w**5/4 + 25*w**4/12 + 5*w**3/2 - 2*w - 19. Suppose x(y) = 0. What is y?
-1, 0, 3
Let c = 46/175 - 11/175. Find s, given that 3/5*s**3 + c*s**4 + 1/5*s**2 - 2/5 - 3/5*s = 0.
-2, -1, 1
Let h(j) be the first derivative of 49*j**4 + 308*j**3/3 - 90*j**2 - 324*j + 112. Let h(o) = 0. Calculate o.
-9/7, 1
Suppose -5*p = 16*p - 84. Let l(d) be the second derivative of 0 + 1/4*d**4 + p*d - 1/2*d**3 + 0*d**2. Factor l(x).
3*x*(x - 1)
Let d(x) be the third derivative of x**7/945 - x**6/540 - x**5/45 - 18*x**2 + 2. Factor d(n).
2*n**2*(n - 3)*(n + 2)/9
Let m be 14/(-21)*(-18)/8*-38. Let l = m + 57. Find s such that 8*s**2 + 2/3*s**4 - 16/3*s - 4*s**3 + l = 0.
0, 2
Let p(o) = -24*o**2 + 293*o + 112. Let s(h) = 9*h**2 - 98*h - 37. Let l(x) = 2*p(x) + 7*s(x). Determine y so that l(y) = 0.
-1/3, 7
Let j = -23655 - -212896/9. Solve -1/9*s**2 + j*s + 0 = 0 for s.
0, 1
Let o(h) be the first derivative of h**8/1260 + h**7/90 + h**6/18 + h**5/10 - 13*h**3 + 41. Let i(q) be the third derivative of o(q). Factor i(w).
4*w*(w + 1)*(w + 3)**2/3
Let g be 124/14 + -11 + (13 - 10). Let a be (1 - -1)*(4 + -2). Suppose 10/7*b**2 + 4/7*b - 2/7*b**a + g*b**3 + 0 - 2/7*b**5 = 0. What is b?
-1, 0, 2
Let i(n) be the first derivative of -n**3/6 + 17*n**2/4 + 9*n + 273. Let i(c) = 0. What is c?
-1, 18
Let t(j) = -231*j - 1386. Let d be t(-6). Suppose d - 6/11*p - 2/11*p**4 + 2/11*p**2 + 6/11*p**3 = 0. What is p?
-1, 0, 1, 3
Let d(q) be the third derivative of 1/44*q**4 + 0 - 6/385*q**7 + 2/33*q**3 + 0*q - 5/1848*q**8 - 4/165*q**5 - 1/30*q**6 + 13*q**2. Determine i so that d(i) = 0.
-1, 2/5
Let r be (-2)/(0 - 8/348). Let a = -84 + r. Factor -9/2*p + 3/2*p**3 + 0*p**2 - a.
3*(p - 2)*(p + 1)**2/2
Let z = 4 - 4. Let x be z - (-2)/3*3. Factor -9*v - 5*v**x + 2*v**2 - 6 + 0*v**2.
-3*(v + 1)*(v + 2)
Factor 15*f - 5/3*f**2 - 70/3.
-5*(f - 7)*(f - 2)/3
Let m(v) be the first derivative of v**4 - 16/3*v**3 + 2 + 8*v**2 + 0*v. Solve m(i) = 0 for i.
0, 2
Let c = 13 + -61. Let r be (9/c)/(21/(-14)). Factor 0*o**2 - 1/8*o**3 + 0*o + r*o**4 + 0.
o**3*(o - 1)/8
Let b(m) be the first derivative of -2/3*m + 10/9*m**2 + 1/3*m**4 - 8/9*m**3 - 2/45*m**5 + 13. Find q, given that b(q) = 0.
1, 3
Let d(p) be the third derivative of p**5/180 - 13*p**4/36 - p**2 + 124*p. Factor d(o).
o*(o - 26)/3
Let r(p) = -10*p**3 - 56*p**2 - 49*p + 3. Let l(q) = -12*q**3 - 56*q**2 - 48*q + 4. Let m(d) = 3*l(d) - 4*r(d). Factor m(c).
4*c*(c + 1)*(c + 13)
Let b be ((-2)/15)/(0 + 9/(-180)). Let p(o) be the first derivative of -b*o**3 + 5 - 5*o**2 - 1/2*o**4 - 4*o. Factor p(j).
-2*(j + 1)**2*(j + 2)
Let x(l) = -3*l - 10. Let u be x(-5). Let i be (u - 126/30)/(14/10). Find o, given that -2/7*o + 4/7*o**2 + 2/7*o**3 - i = 0.
-2, -1, 1
Let b(d) be the third derivative of 1/160*d**6 + 0*d + 0 + 0*d**5 + 0*d**3 - 1/32*d**4 + 3*d**2. Find v, given that b(v) = 0.
-1, 0, 1
Factor -837*p**2 + 749*p**2 - 12*p**4 + 8*p**4 + 92*p**3.
-4*p**2*(p - 22)*(p - 1)
Let m(o) be the first derivative of -4 - 4/3*o + 4/9*o**3 - 1/3*o**2 + 1/6*o**4. Factor m(y).
2*(y - 1)*(y + 1)*(y + 2)/3
Factor -288/7*y**2 + 66/7*y**3 - 3/7*y**4 + 0 - 864/7*y.
-3*y*(y - 12)**2*(y + 2)/7
Let f be -1*((-10)/70*21/(-6))/(-1). Suppose 27/4*t**2 - 15/4*t - 9*t**4 + f + 2*t**3 = 0. Calculate t.
-1, 2/9, 1/2
Suppose 0 = 2*u - 8 + 4. Suppose 3*v - 19 = -2*r, 4*r - u = -2*v + 8*r. Solve -2*a**v + a - a**2 - 11*a**4 + 6*a**3 + 7*a**4 + 3*a**5 - 3*a**2 = 0 for a.
0, 1
Let m = -41 + 52. Factor m*j - 4*j - 4 + 3*j + 6*j**2.
2*(j + 2)*(3*j - 1)
Let m be (-1)/(21/(-9) + 2). Let a(d) =