*(g - 1)**2/3
Let y = 2068 + -2068. Factor 1/2 + y*f**4 + 1/4*f**5 - f**3 - 1/2*f**2 + 3/4*f.
(f - 2)*(f - 1)*(f + 1)**3/4
Let y(j) be the second derivative of -1/1800*j**6 - 2/3*j**3 + 0*j**2 + 0*j**4 + 0 - 1/600*j**5 - 6*j. Let c(a) be the second derivative of y(a). Factor c(l).
-l*(l + 1)/5
Suppose -21/2*w**3 + 9 - 55/2*w + 1/2*w**4 + 57/2*w**2 = 0. Calculate w.
1, 18
Let w(x) be the second derivative of -x**4/48 + x**3/2 + 13*x**2/8 - 232*x + 2. Factor w(j).
-(j - 13)*(j + 1)/4
Suppose -71*c**5 - 20*c**3 - 17 - 13 + 76*c**5 - 15*c**4 + 80*c**2 - 50 = 0. Calculate c.
-2, -1, 2
Let i(a) be the second derivative of -a**6/660 + 3*a**5/220 - 14*a**3/3 - 25*a. Let u(l) be the second derivative of i(l). Factor u(d).
-6*d*(d - 3)/11
Let h be (17/(-2) + 1)/((-5)/(-25)). Let c = h - -38. Suppose -1 + c*p + 1/2*p**2 = 0. What is p?
-2, 1
Let t = 10939 - 10936. Let 2/5*h**4 - 14/5*h**2 - 2/5*h + 2/5*h**t + 12/5 = 0. Calculate h.
-3, -1, 1, 2
Let k(v) = -1. Let t(z) = -3*z**4 - 18*z**3 - 27*z**2 - 12*z - 1. Let c(n) = k(n) - t(n). Determine u, given that c(u) = 0.
-4, -1, 0
Let f(r) = r**2 + 12*r - 8. Let g be -13*((-3 - -2) + 2). Let i be f(g). Determine z so that -3*z**4 + 2*z + 5*z**2 - i*z - 2*z**2 + 3*z**3 + 0*z**4 = 0.
-1, 0, 1
Suppose 0 = -9*a + 6*a - 107*a. Factor a - 1/5*c - 1/10*c**3 + 3/10*c**2.
-c*(c - 2)*(c - 1)/10
Let v(d) = -d + 9. Let a be v(0). Let q = a + -4. What is t in 11*t**4 - 3*t**4 + 10*t**3 + 4*t**2 + 2*t**5 + 0*t**5 + 0*t**q = 0?
-2, -1, 0
Let i = 2351/2 - 1138. Let f = i + -36. Factor f - 1/2*z**2 + z.
-(z - 3)*(z + 1)/2
Let q(k) = 2*k**2 - 14*k - 12. Let s be q(8). Let r(d) be the third derivative of 2*d**2 + 0*d - 1/60*d**5 + 0 - 1/24*d**s + 0*d**3. Find u such that r(u) = 0.
-1, 0
Let p(i) be the third derivative of -7*i**2 - 1/2*i**3 + 0 + 0*i + 1/6*i**4 - 1/60*i**5. Determine w, given that p(w) = 0.
1, 3
Let l(i) be the second derivative of -1/40*i**5 + 0 + 0*i**2 - 16*i + 0*i**6 + 1/24*i**3 + 1/168*i**7 + 0*i**4. Factor l(r).
r*(r - 1)**2*(r + 1)**2/4
Suppose 0*g - 3*g + 66 = 0. Determine n, given that g*n**4 + 2*n**5 + n**3 + 21*n**4 + 4*n - 2*n**2 - 7*n**3 - 41*n**4 = 0.
-2, -1, 0, 1
Let x(p) be the third derivative of -10*p**2 + 0*p + 5/24*p**3 - 1/48*p**5 + 0 + 0*p**4. Suppose x(q) = 0. Calculate q.
-1, 1
Let q(x) be the second derivative of x**7/126 - x**6/30 + x**5/60 + x**4/12 - x**3/9 - 99*x. Factor q(h).
h*(h - 2)*(h - 1)**2*(h + 1)/3
Let h be (-2)/(-4) - (-26)/(-4). Let c be 5 + 33/h - -1. Factor -1 - c*j**2 + 3/2*j.
-(j - 2)*(j - 1)/2
Let s be (-9)/(-21) + (-96)/(-224). Let h(r) be the second derivative of 9/70*r**6 - 2/7*r**3 - 11/28*r**4 + 9/70*r**5 + s*r**2 + 11*r + 0. Solve h(z) = 0.
-1, 2/3
Let a(w) be the first derivative of w**3 - 27*w**2/2 + 18. Solve a(k) = 0.
0, 9
Let a(s) = -s + 7. Let m be a(5). Let r(j) = -7 + 3*j + 4*j**2 + j + j**m. Let o(x) = -11*x**2 - 9*x + 15. Let p(u) = 6*o(u) + 13*r(u). Factor p(k).
-(k + 1)**2
Factor -16*u - 2/3*u**2 - 160/3.
-2*(u + 4)*(u + 20)/3
Factor 0 + 12*h - 3/2*h**2.
-3*h*(h - 8)/2
Let d(f) be the third derivative of f**6/450 - 19*f**5/450 + 5*f**4/36 - 8*f**3/45 - 12*f**2 - 5*f. Find q, given that d(q) = 0.
1/2, 1, 8
Find x such that 79/2 + 40*x + 1/2*x**2 = 0.
-79, -1
Let f(y) be the second derivative of -y**4/18 - 38*y**3/9 - 361*y**2/3 + 96*y. Suppose f(n) = 0. Calculate n.
-19
Let l = -2072 - -2074. Determine n, given that 7/11*n**4 + 5/11*n**3 - 5/11*n - 9/11*n**l + 2/11 = 0.
-1, 2/7, 1
Suppose -2*t + 6*t = 5*u + 4, u + 26 = 5*t. Suppose -3*s - t = -5*s. Let -4 + 5*q**2 + 2 - 3*q**s + 4*q + 3*q - q**3 = 0. What is q?
-1, 1/4, 2
Let u(k) be the second derivative of -k**4/3 - 13*k**3/3 - 6*k**2 + 135*k. Find h, given that u(h) = 0.
-6, -1/2
Let j = 7700 - 7695. What is u in -9/5*u - 3/5*u**j - 6/5 + 12/5*u**3 + 0*u**4 + 6/5*u**2 = 0?
-1, 1, 2
Let t(f) = 96*f - 477. Let w be t(5). Factor 2/7*z + 16/7*z**w + 0 + 10/7*z**2 + 8/7*z**4.
2*z*(z + 1)*(2*z + 1)**2/7
Let z(l) be the second derivative of 18*l + 0 - 9/16*l**2 - 1/32*l**4 + 1/4*l**3. Suppose z(p) = 0. Calculate p.
1, 3
Determine h so that -859*h - 28*h**2 - 940 + 44*h**2 - 21*h**2 - 86*h = 0.
-188, -1
Find j such that -4/7*j**5 + 36/7*j**2 + 0*j - 4/7*j**4 + 0 + 36/7*j**3 = 0.
-3, -1, 0, 3
Let d(x) = -6*x**2 - x - 1. Let v(p) = 3*p**3 - 9*p**2 + 13*p - 5. Let o(w) = -5*d(w) + v(w). Factor o(u).
3*u*(u + 1)*(u + 6)
Let y(l) be the second derivative of 1/2*l**2 - 1/12*l**4 + 0 + 8*l - 2/9*l**3 - 1/90*l**5. Let r(o) be the first derivative of y(o). Solve r(c) = 0 for c.
-2, -1
Let z = -158011 + 1420328/9. Let a = z - -197. Factor a*k**2 + 2/9*k - 4/9.
2*(k - 1)*(k + 2)/9
Factor -28*c + 52*c**2 - 24 - 13*c - 2*c + 15*c.
4*(c - 1)*(13*c + 6)
Let x be ((126/(-56))/1)/(6/(-10)). Let y(n) be the first derivative of -17/3*n**3 + 1 - 21/8*n**4 - x*n**2 - n. Factor y(g).
-(g + 1)*(3*g + 1)*(7*g + 2)/2
Find a such that 3*a**4 - 39/2*a - 3/2*a**5 - 15 + 21*a**3 + 12*a**2 = 0.
-2, -1, 1, 5
Let v(f) = 33*f + 35. Let q be v(-1). Let d(p) be the first derivative of 2*p**2 + q*p - 10 + 2/3*p**3. Let d(c) = 0. Calculate c.
-1
Let m(s) be the third derivative of s**6/150 + 2*s**5/25 + 11*s**4/30 + 4*s**3/5 + 90*s**2. Let m(r) = 0. Calculate r.
-3, -2, -1
Suppose 3*p - 31 = -5*n + 28, 3*p = -2*n + 56. Let g be (p/8)/((-15)/(-20)). Factor 0 - 2/7*l**g + 2/7*l**2 + 4/7*l.
-2*l*(l - 2)*(l + 1)/7
Let v(s) be the first derivative of 13/6*s**2 - 1/9*s**3 - 4*s + 20. Let v(i) = 0. What is i?
1, 12
Suppose 0*j + 402 = -2*j. Let h = j - -1811/9. Factor -2/3*m**2 + 4/9 - h*m.
-2*(m + 1)*(3*m - 2)/9
Let l(v) be the first derivative of -3*v**5/10 - 57*v**4/8 + 41*v**3/2 - 63*v**2/4 - 90. Suppose l(p) = 0. What is p?
-21, 0, 1
Let m(t) = -t**2. Let z(n) be the third derivative of -n**5/60 + 5*n**4/24 + n**3/3 + 2*n**2. Suppose 27*g = 25*g - 8. Let w(f) = g*m(f) + z(f). Solve w(k) = 0.
-1, -2/3
Let j(n) be the second derivative of 0*n**3 + 0 + 0*n**2 + 0*n**4 + 1/4*n**5 - 20*n. Solve j(i) = 0 for i.
0
Suppose -d + 126 = 6*d. Suppose -d*g = -13*g. Factor -2/7*s**5 + 6/7*s**4 + g*s - 6/7*s**3 + 2/7*s**2 + 0.
-2*s**2*(s - 1)**3/7
Suppose -36*m = -39*m - 12, 5*h - 2*m = 28. Let b(l) be the second derivative of 14*l + 5/2*l**3 + 5*l**2 + 5/12*l**h + 0. Factor b(x).
5*(x + 1)*(x + 2)
Solve 4/7*i**2 - 2/7*i**3 + 6*i + 36/7 = 0 for i.
-3, -1, 6
What is d in -16/5*d - 2/5*d**3 + 18/5*d**2 + 0 = 0?
0, 1, 8
Let h(y) be the third derivative of 2*y**7/315 - 7*y**6/18 + 44*y**5/5 - 72*y**4 - 384*y**3 + 2*y**2 - 28*y. Find a such that h(a) = 0.
-1, 12
Let d(p) be the third derivative of -7*p**5/330 - p**4/12 - 19*p**2. What is w in d(w) = 0?
-11/7, 0
Let n = 18 - 6. Let f = n - 9. Factor h**3 + h**4 + 2*h**3 - 3*h**3 + 2*h**f.
h**3*(h + 2)
Let d(q) = 6*q**3 - q**2 - q + 1. Let i be d(1). Let b(a) = 13*a**2 - 27*a + 19. Let f(m) = -7*m**2 + 13*m - 9. Let r(c) = i*f(c) + 3*b(c). Factor r(k).
4*(k - 3)*(k - 1)
Let p(w) = 6*w**4 - 29*w**3 - 35*w**2 - 5*w. Let x(t) = -5*t**4 + 30*t**3 + 35*t**2 + 4*t. Let f(v) = 4*p(v) + 5*x(v). Determine c so that f(c) = 0.
-1, 0, 35
Let j(a) be the third derivative of -a**5/390 + 2*a**4/13 - 21*a**3/13 - 15*a**2 + 13*a. Let j(c) = 0. Calculate c.
3, 21
Let v = 6800 + -61198/9. Solve 0*k**3 + 4/3*k**2 + 16/9*k - v*k**4 + 2/3 = 0.
-1, 3
Let a = -30605/2 - -15304. Let w be 2*3/(-15)*-10. Factor -3/2*z**w - a*z + 1/2 + z**2 + 1/2*z**5 + z**3.
(z - 1)**4*(z + 1)/2
Let t(r) = -r**2 - 9*r - 3. Let s be t(-3). Let z = s + -15. Factor -2/3*x**2 + 2/3*x**4 + 0*x + z - 2/3*x**3 + 2/3*x**5.
2*x**2*(x - 1)*(x + 1)**2/3
Let i(c) = -2*c**4 - 12*c**3 - 40*c**2 - 6. Let s(t) = 3*t**4 + 10*t**3 + 42*t**2 + 7. Let x(r) = -7*i(r) - 6*s(r). Factor x(q).
-4*q**2*(q - 7)*(q + 1)
Let r(i) be the first derivative of 3*i**5/35 + 9*i**4/28 - 15*i**3/7 + 51*i**2/14 - 18*i/7 - 8. Factor r(l).
3*(l - 1)**3*(l + 6)/7
Let i = 522 + -522. Let v(m) be the second derivative of 2/5*m**3 - 3*m - 4/5*m**2 - 1/25*m**5 + i*m**4 + 0. Factor v(x).
-4*(x - 1)**2*(x + 2)/5
Determine p, given that -4*p**2 - 180*p - 95*p + 335*p = 0.
0, 15
Let f(u) = 26*u**3 + 78*u**2 + u + 6. Let b be f(-3). Determine s so that 2/3*s**b - 2/3 - 8/3*s**2 + 7/3*s + 2/3*s**4 - 1/3*s**5 = 0.
-2, 1
Factor 12 - 34*y + 37*y**2 - 1/2*y**5 - 39/2*y**3 + 5*y**4.
-(y - 3)*(y - 2)**3*(y - 