first derivative of f**3/3 - 7*f**2/2 + 6*f + 286. Find z such that y(z) = 0.
1, 6
Let g(p) be the third derivative of -p**7/126 - 5*p**6/24 - 2*p**5 - 70*p**4/9 + 47*p**2 - 2. Solve g(c) = 0 for c.
-7, -4, 0
Let d(m) be the first derivative of 0*m**3 - m**4 - 4/5*m**5 + 0*m**2 + 0*m - 4. Suppose d(z) = 0. What is z?
-1, 0
Suppose 113 = 48*b + 17. Solve -8/5*y**b + 4/5*y**4 - 4/5*y**3 + 0 + 0*y = 0 for y.
-1, 0, 2
Let 32/9*s**2 + 0 + 2/9*s**5 + 0*s + 16/3*s**3 + 2*s**4 = 0. Calculate s.
-4, -1, 0
Let t = -122 - -124. Let m(y) be the third derivative of y**3 + 0 + 1/540*y**6 + 1/4*y**4 + 0*y + 1/30*y**5 + 5*y**t. Let m(b) = 0. What is b?
-3
Let u(p) = -314*p**2 - 5834*p + 800. Let w(a) = -63*a**2 - 1165*a + 160. Let n(f) = -3*u(f) + 14*w(f). Solve n(c) = 0 for c.
-20, 2/15
Let d be (-9)/3*((-16)/(-12))/(-2). Let 4*p**4 - 5*p**2 + 5*p**2 + 0*p**d - 4*p**2 + 8*p**3 - 8*p = 0. Calculate p.
-2, -1, 0, 1
Let t(g) be the third derivative of 3*g**6/40 - 2*g**5/5 + g**4/2 - 98*g**2. Factor t(l).
3*l*(l - 2)*(3*l - 2)
Let a(j) be the first derivative of 9*j**5/5 + 7*j**4/4 - 2*j**3/3 + 64. Solve a(b) = 0 for b.
-1, 0, 2/9
Let r(v) be the third derivative of -v**7/270 - 2*v**6/135 - v**5/90 + v**4/27 + 5*v**3/54 + 460*v**2. Suppose r(z) = 0. Calculate z.
-1, 5/7
Let p(x) = -8*x**4 - 20*x**3 - 23*x**2 + 6*x - 3. Let v(l) = -9*l**4 - 20*l**3 - 24*l**2 + 8*l - 4. Let i(w) = 4*p(w) - 3*v(w). Factor i(a).
-5*a**2*(a + 2)**2
Solve -24/5*p**4 + 96/5*p**2 + 0 + 32/5*p - 64/5*p**3 + 14/5*p**5 = 0.
-2, -2/7, 0, 2
Let c(n) be the third derivative of 0 + 0*n - 20*n**2 - 1/20*n**6 + 0*n**4 + 0*n**3 + 1/112*n**8 + 1/70*n**7 + 0*n**5. Factor c(s).
3*s**3*(s - 1)*(s + 2)
Let b(s) be the second derivative of -25/4*s**4 - 1/4*s**5 + 0 + 11*s - 625/2*s**2 - 125/2*s**3. Let b(n) = 0. Calculate n.
-5
Let 8/7*t**2 + 16/7 - 1/7*t**3 - 20/7*t = 0. What is t?
2, 4
Let -1/6*m**2 + 0 + 2*m = 0. Calculate m.
0, 12
Let s(j) = -j**3 + 3*j**2 + j - 1. Let k(d) = d + 0*d**4 + d**3 + d**4 + 0*d + 0*d**3 - 1. Let c(l) = -k(l) + s(l). Factor c(f).
-f**2*(f - 1)*(f + 3)
Let z(l) be the third derivative of 2/3*l**3 + 0*l + 5/24*l**4 + 4*l**2 + 1/60*l**5 + 0. Factor z(d).
(d + 1)*(d + 4)
Let j = 887 + -4433/5. Let r(z) be the first derivative of -j*z**5 - 8/9*z**3 + 0*z - 5/9*z**6 - 1 + 0*z**2 + 2*z**4. Let r(f) = 0. What is f?
-2, 0, 2/5, 1
Factor -21*h**3 + 20 + 4 + 164*h + 65*h**3 + 0 + 184*h**2.
4*(h + 1)*(h + 3)*(11*h + 2)
Let l(a) be the first derivative of 0*a**2 - 15/4*a**4 + 16 - 12/5*a**5 + 0*a + 6*a**3. Find i, given that l(i) = 0.
-2, 0, 3/4
Let y = 43494/76139 + 2/10877. Let 4/7*f**3 + 8/7*f**2 - 8/7 - y*f = 0. Calculate f.
-2, -1, 1
Let p(h) be the first derivative of h**5/15 + h**4/6 - 7*h**3/9 + 2*h**2/3 - 55. Let p(f) = 0. What is f?
-4, 0, 1
Let i(k) be the second derivative of 0*k**2 + 1/5*k**5 + 0*k**4 + 0 - 2/3*k**3 + 12*k. Find x, given that i(x) = 0.
-1, 0, 1
Factor 314 - 18*j**2 - 132 - 113 + 3*j**3 - 123 - 75*j.
3*(j - 9)*(j + 1)*(j + 2)
What is o in -10082/17 - 284/17*o - 2/17*o**2 = 0?
-71
Let z(u) be the first derivative of -2*u**3 - 81*u**2/4 + 21*u/2 - 95. Factor z(m).
-3*(m + 7)*(4*m - 1)/2
Let c(x) = -2*x**2 + 48*x + 20. Let v be c(25). Let s be ((v/(-8))/5)/(399/1216). Suppose -268/7*b**2 + s + 36*b**4 - 16/7*b**3 + 16/7*b = 0. Calculate b.
-1, -2/9, 2/7, 1
Let u(k) be the first derivative of 13 + 1/42*k**6 + 1/35*k**5 - 1/21*k**3 + 0*k**2 + 0*k - 1/28*k**4. Factor u(v).
v**2*(v - 1)*(v + 1)**2/7
Let x(j) be the first derivative of 18*j**5/5 - 8*j**4 - 440*j**3/3 - 48*j**2 - 76. Solve x(o) = 0.
-4, -2/9, 0, 6
Suppose -14 = 5*p + 21. Let c = -4 - p. Find u such that -20*u**2 - 3*u**4 + 2*u**2 - c - 12*u**3 - 12*u + 0 = 0.
-1
Suppose 4*t + 2*k - 70 = 0, -3*t + 17 = 4*k - 43. Let g be (1*3/(-12))/((-34)/t). Find f such that -2/17*f + 0 + g*f**2 = 0.
0, 1
Let l be (8/(-6))/(44/(-132)). Let p(b) be the second derivative of -2/21*b**7 - 1/2*b**2 + 1/3*b**3 + 0 + 2/3*b**4 - l*b - 7/30*b**6 + 1/10*b**5. Factor p(w).
-(w - 1)*(w + 1)**3*(4*w - 1)
Suppose 4*d = w - 2, 4*w - 8 = 3*d + 2*d. Factor -2/9*p + 0 + 2/9*p**3 + 0*p**w.
2*p*(p - 1)*(p + 1)/9
Let t be (-10)/(-14) - 24/84. Let 5/7*v**2 - 2/7 - t*v = 0. Calculate v.
-2/5, 1
Let d be (1/(-1) - 2) + 9. Suppose 50 = -m + d*m. Solve 8 - m*h + 12*h**2 + 0*h - 10*h = 0 for h.
2/3, 1
Let u = -282 - -285. Let l(y) be the first derivative of -3/5*y**5 - 3*y + 1/2*y**6 + 2*y**u - 10 - 3/2*y**4 + 3/2*y**2. Solve l(d) = 0 for d.
-1, 1
Let v = -5413/35 + 774/5. Factor 1/7*m + 0 - v*m**2.
-m*(m - 1)/7
Let n = 48 - 46. Factor 13*m**n - 5*m**5 - 17*m**3 - 15*m**3 + 20*m**4 + m**5 + 3*m**2.
-4*m**2*(m - 2)**2*(m - 1)
Let m(a) = 2*a**3 + 3*a**2 - 5*a - 4. Let y be m(-2). Factor -2/11*h**y + 0 + 0*h - 2/11*h**3.
-2*h**2*(h + 1)/11
Suppose 0 = 2*j - n - 8, -4*j = -3*n + 6*n + 4. Factor -20*b**3 - 2*b - 6*b**j + 3*b**2 + 19*b**3.
-b*(b + 1)*(b + 2)
Determine g so that 0 + 0*g - 2/7*g**2 - 1/7*g**3 = 0.
-2, 0
Let i be (33/(-9) + 4)*3. Let d be i/(58/(-15) + 4). Find a, given that -7/2*a**4 - d*a**2 + 1/2*a + 1 + 19/2*a**3 = 0.
-2/7, 1
Let h(f) be the third derivative of f**6/900 - 19*f**5/75 + 361*f**4/15 - 54872*f**3/45 + 8*f**2 + 7. Factor h(x).
2*(x - 38)**3/15
Suppose 0 = -32*i + 13*i - 32*i + 102. Solve 6/5*j + 1/5*j**3 + j**i + 0 = 0 for j.
-3, -2, 0
Let c be 525/165 - (-4)/(-22). Factor 2 + 64*b**2 + 33*b - 27*b**2 + 7 + 2*b**4 + 15*b**c.
(b + 1)*(b + 3)**2*(2*b + 1)
Find z such that -24 - 1780*z**2 - 23*z**3 + 893*z**2 + 821*z**2 - 68*z + z**5 = 0.
-2, -1, 6
Let f = -36193/3 + 12066. Determine g, given that -5/2*g**2 + 0 + 0*g**3 + 5/6*g**4 - f*g = 0.
-1, 0, 2
Let b = -144 + 168. Let x be ((15/b)/5)/(4/24). Determine j so that 1/4*j**2 + 1/2 + x*j = 0.
-2, -1
Let y be ((-110)/(-20))/((-154)/(-140)). Let 0 + 4*b**3 - 81/8*b**y + 0*b + 1/2*b**2 + 45/8*b**4 = 0. Calculate b.
-2/9, 0, 1
Suppose 3*t = -4 + 10. Suppose -2*n + n + t = 0. Determine j, given that 4*j**3 + 9*j**n + 27 - 2*j**3 + 0*j**3 + 27*j - j**3 = 0.
-3
Let -4/5*i**2 - 59/5 - 237/5*i = 0. Calculate i.
-59, -1/4
Let s be (2/(-5))/(2/40)*-2. Factor -15*q**4 + 3*q**4 - 4*q**4 + s*q - 32 - 4*q**5 + 40*q**2 - 4*q**3.
-4*(q - 1)**2*(q + 2)**3
Let i(w) be the second derivative of 0 + 2*w - 1/28*w**4 + 2/105*w**5 - 7/2*w**2 - 1/21*w**3. Let x(z) be the first derivative of i(z). Factor x(a).
2*(a - 1)*(4*a + 1)/7
Let s be ((-2166)/(-190))/(1/5). Suppose -6*m + 25*m - s = 0. Factor 8/3*w + 4/3*w**2 - 2/3*w**m - 16/3.
-2*(w - 2)**2*(w + 2)/3
Let x(i) be the first derivative of i**4/4 - 8*i**3/3 + 21*i**2/2 - 18*i + 240. Determine n so that x(n) = 0.
2, 3
Suppose -4*j + 569 - 697 = -5*l, 2*l - 3*j - 54 = 0. Let 117/2*a**4 + 6*a**5 - l + 381/2*a**2 + 183*a**3 + 36*a = 0. Calculate a.
-4, -1, 1/4
Let p(h) = 2*h**3 - 31*h**2 + 44*h - 26. Let v be p(14). Let u(w) be the first derivative of 4/7*w**v - 4/21*w**3 + 0*w - 1/7*w**4 + 10. What is l in u(l) = 0?
-2, 0, 1
Suppose n = -2*n. Suppose n = 3*t + b - 18, 5*t - 5*b + 2*b - 44 = 0. Find y such that t*y - y**3 - 5*y**3 - 3*y + 4*y**2 - 2*y**3 = 0.
-1/2, 0, 1
Suppose -24*t**3 + 18*t**4 - 12 - 9*t**5 - 6*t**2 + 27*t + 4*t**5 + 2*t**5 = 0. Calculate t.
-1, 1, 4
Let k be (((-3)/(-9))/((-4)/150))/(-1). Let z = k + -11. Factor -z + 3/4*i**2 - 21/8*i.
3*(i - 4)*(2*i + 1)/8
Suppose j - 21 + 51 = 0. Let w = -16 - j. Let q(f) = -13*f**2 + 5*f. Let l(v) = -4*v**2 + 2*v. Let x(m) = w*l(m) - 4*q(m). Factor x(g).
-4*g*(g - 2)
Let a = 128 - 126. What is f in f**a - 4*f**2 - 6*f + 21*f - 10 - 2*f**2 = 0?
1, 2
Let n(h) = h**3 + 41*h**2 + 484*h. Let s(r) = 4*r**3 + 165*r**2 + 1936*r. Let k(g) = -22*n(g) + 6*s(g). Determine w so that k(w) = 0.
-22, 0
Let a(z) be the third derivative of z**7/11340 + z**6/1620 + z**5/540 + z**4/2 + 14*z**2. Let i(o) be the second derivative of a(o). Let i(s) = 0. What is s?
-1
Let b = 1041 + -1037. Find x, given that -74/3*x**4 - b*x**3 + 4*x + 8*x**5 + 0 + 50/3*x**2 = 0.
-2/3, -1/4, 0, 1, 3
Factor -2*u - 1/4*u**2 + 9/4.
-(u - 1)*(u + 9)/4
Let g(r) = r**2 - 2. Let z be g(-2). Suppose 2*c**5 + 6*c**3 + 4*c**3 - 4*c**z - 11*c**4 + 3*c**4 = 0. Calculate c.
0, 1, 2
Let q(w) be the third derivative of 1/945*w**7 + 0 - 1/108*w**4 + 0*w**3 - 1/270*w**5 + 6*w + 1/540*w**6 + 3*w**2. Factor q(m).
2*m*(m - 1)*(m + 1)**2/9
Let 