l) be the first derivative of 0*l - 3/2*l**2 - l**3 + 7. Factor j(h).
-3*h*(h + 1)
Let p(y) be the first derivative of -1/15*y**2 + 1/30*y**4 - 2/45*y**3 + 2/15*y - 6. Find j, given that p(j) = 0.
-1, 1
Suppose 3*y = 4*n - 2, 3*y + 5*n - 16 = -0*n. Let w = 15 + -11. Determine b so that 5*b**3 - b**3 + b**y - 2*b**4 + b**2 - w*b = 0.
-1, 0, 1, 2
Factor 11*w**2 + 3 + 6*w + 5 + 18*w**2 - 30*w**2 + w.
-(w - 8)*(w + 1)
Let c(v) = -v**3 + 2*v**2 + 9*v + 1. Let t be c(4). Let 12/5*z**4 + 6/5*z**2 + 3/5*z**t + 0 + 0*z + 3*z**3 = 0. Calculate z.
-2, -1, 0
Let c(l) be the first derivative of -l**8/4200 + l**7/1050 + 5*l**3/3 + 7. Let k(d) be the third derivative of c(d). Solve k(q) = 0 for q.
0, 2
Let p(r) be the first derivative of -3*r**4/32 + 13*r**3/8 - 33*r**2/8 - 50. Find q such that p(q) = 0.
0, 2, 11
Let x(k) = 7 - 3*k**3 - 3*k + k**2 + k**2 - 5*k**2 + 2*k**3. Let q(h) = -9*h**3 - 24*h**2 - 24*h + 57. Let d = 7 - 11. Let i(j) = d*q(j) + 33*x(j). Factor i(b).
3*(b - 1)**2*(b + 1)
Suppose -3*b = -2*b + 4*y + 13, -y + 8 = 4*b. Factor 2*k**2 + 14 - b*k**2 + 5*k**2 - 2 - 16*k.
4*(k - 3)*(k - 1)
Let n be ((-1)/(-1 - 0/3))/1. Let q(g) be the first derivative of -g**3 + 3/16*g**4 - 3/2*g + n + 15/8*g**2. Factor q(o).
3*(o - 2)*(o - 1)**2/4
Let a = -14 - -4. Let h(j) = -j**3 - 10*j**2 - j. Let u be h(a). Solve -u - t**2 + 9 + 0*t - 2*t = 0 for t.
-1
Let z(r) be the third derivative of -1/128*r**8 - 3/64*r**6 + r**2 - 1/160*r**5 - 19/560*r**7 + 0 + 1/32*r**4 + 0*r**3 + 0*r. Find x such that z(x) = 0.
-1, 0, 2/7
Suppose d - 14 = 4*y, 50 = -4*d + 2*y + 64. Suppose 0 - 18/5*o**3 - d*o**4 + 2/5*o - 6/5*o**2 = 0. Calculate o.
-1, 0, 1/5
Let r(n) be the first derivative of -n**3/3 - n + 5. Let f(b) = 14*b**2 + 4*b + 12. Let t = 23 + -22. Let q(s) = t*f(s) + 12*r(s). Factor q(v).
2*v*(v + 2)
Let x = -26/43 + 2228/129. Let w(u) be the first derivative of 5/6*u**6 + 25/2*u**4 - 5*u**5 - 12 - x*u**3 + 25/2*u**2 - 5*u. Let w(d) = 0. Calculate d.
1
Suppose 5*d - 77 = 3*f, -3*d + 4*f + 23 = -32. Factor -m**2 - d*m + 8*m + 3*m.
-m*(m + 2)
Let c(w) be the first derivative of -w**3/3 - 5*w**2 + 11*w + 76. Solve c(u) = 0 for u.
-11, 1
Let v(z) be the third derivative of 5/24*z**3 + 14*z**2 - 1/240*z**5 + 1/24*z**4 + 0*z + 0. Let v(t) = 0. Calculate t.
-1, 5
Let p(a) = -57*a**2 - 2385*a - 57657. Let m(w) = -7*w**2 - 298*w - 7207. Let t(x) = 33*m(x) - 4*p(x). Determine f, given that t(f) = 0.
-49
Let h(p) be the third derivative of p**9/1512 + p**8/448 - p**6/144 + p**4 + 10*p**2. Let w(z) be the second derivative of h(z). Factor w(u).
5*u*(u + 1)**2*(2*u - 1)
What is s in -12*s**4 + 17*s**2 - 4*s**5 + 2*s**5 - 17*s**2 - 18*s**3 = 0?
-3, 0
Let d(p) be the second derivative of 2*p**6/15 - 13*p**5/5 + 41*p**4/3 - 94*p**3/3 + 36*p**2 - 107*p - 1. Factor d(c).
4*(c - 9)*(c - 2)*(c - 1)**2
Let k = 7267/6 - 1211. Factor 1/3*f**2 - k*f**5 + 0*f**4 - 1/3 - 1/2*f + 2/3*f**3.
-(f - 2)*(f - 1)*(f + 1)**3/6
Let n = -955 + 958. Let h(c) be the second derivative of -1/42*c**4 - 14*c - 2/21*c**n + 0*c**2 + 1/35*c**5 + 1/105*c**6 + 0. Factor h(a).
2*a*(a - 1)*(a + 1)*(a + 2)/7
Suppose -10 = -11*s + 6*s. Factor 4*g**4 - g**3 - 7*g**3 - 4*g**s + 3*g**2 + 5*g**2.
4*g**2*(g - 1)**2
Let l be (1 - 0)/(0 - (-4)/8). Suppose -12*m - 72*m**2 + 146*m**2 - 71*m**l = 0. Calculate m.
0, 4
Let g be ((-30)/(-8))/(3/(-108)). Let b be 0 + (-5 - g/20). Factor 0 + 1/2*x**3 - 1/2*x + 7/4*x**2 - b*x**4.
-x*(x - 1)*(x + 1)*(7*x - 2)/4
Suppose -4*k + 2*k = 6. Let z be -6*k*6/27. What is u in 3*u**3 - 4*u**4 + u + u**4 + z*u**4 + 3*u**2 = 0?
-1, 0
Let v(d) be the third derivative of -8*d**2 + 0*d + 1/5*d**3 + 0 + 1/30*d**4 - 1/30*d**5. Find l, given that v(l) = 0.
-3/5, 1
Let d be 68*(7/(-4) + 2). Let s = 23 - d. Factor 18 - s + k**2 + 12*k + 3*k**2 - k**2.
3*(k + 2)**2
Factor 34*k**2 - 75*k**2 - 11 + 20*k + 56*k**2 - 10*k**3 - 9 - 5*k**4.
-5*(k - 1)**2*(k + 2)**2
Let p(h) = 17*h - 66. Let s be p(8). Let i = s + -70. Factor -4/9*o**3 + 0*o**2 - 2/3*o**4 - 2/9*o**5 + 0 + i*o.
-2*o**3*(o + 1)*(o + 2)/9
Let o(b) be the second derivative of -25*b**4/24 - 10*b**3/3 + 5*b**2 + 2*b. Factor o(i).
-5*(i + 2)*(5*i - 2)/2
Suppose 50*u - 4 = 49*u. Let w(t) = -t**2 + 2*t + 10. Let a be w(u). Find y such that -15/4*y**3 + 15/4*y - 3/2 + 3/2*y**a = 0.
-1, 2/5, 1
Let c be 1 + 9/((-45)/(-110)). Suppose 0 = -2*a + 2*v + 2, 5*a + 4*v + 9 = c. Suppose 2/5*z + 3/5 - 1/5*z**a = 0. Calculate z.
-1, 3
Let a = -38827/7 - -5547. Solve 0*p**4 + 4/7*p**3 + 0 + 0*p**2 - a*p**5 - 2/7*p = 0 for p.
-1, 0, 1
Let o = 26053/3 - 8765. Let k = o + 81. Let -1/3*m + k*m**2 + 0 = 0. What is m?
0, 1
Let -2/3*m**4 + 0*m**2 + 0*m + 1/3*m**5 + 0 - m**3 = 0. Calculate m.
-1, 0, 3
Factor 16/3*q - 3*q**2 + 4/3.
-(q - 2)*(9*q + 2)/3
Let c = -307 - -309. Solve 0*m - 1/8*m**c + 1/8 = 0.
-1, 1
Let g be (-4)/(-9) - 16445/207. Let b = -157/2 - g. Let -1/2*i**4 + 0*i + 0 + 0*i**3 + b*i**2 = 0. What is i?
-1, 0, 1
Suppose 0 = 21*x - 10*x + 12969. Let c be 4/18 - (x/162 + 3). Suppose c - 3*s + 1/2*s**2 = 0. Calculate s.
3
Let c = 1224 - 1124. What is x in -12*x**2 - 4/5*x**3 - 60*x - c = 0?
-5
Let z(s) be the third derivative of -s**7/210 - s**6/20 - s**5/20 + 5*s**4/12 - 248*s**2 + 2*s. Determine o, given that z(o) = 0.
-5, -2, 0, 1
Let h = 182 + -180. Let d(y) be the second derivative of y**h - 6*y + 0 + 1/4*y**5 + 1/30*y**6 + 3/4*y**4 + 7/6*y**3. Find s such that d(s) = 0.
-2, -1
Factor 5/4*a - 11/4*a**2 + 0 + 1/2*a**3.
a*(a - 5)*(2*a - 1)/4
Suppose -5*c + 11 = -z + 27, -4*z = 16. Let l be 6/c + (-14)/(-4). Factor 3*v + 3*v**l - 5*v - 3 + 2*v.
3*(v - 1)*(v + 1)
Let k be ((-80)/(-315))/((-9)/315*-10). Factor 2/9*p**2 + 2/3 - k*p.
2*(p - 3)*(p - 1)/9
Let q(p) be the first derivative of -p**5/20 + 15*p**4/16 - 7*p**3/6 + 352. Factor q(j).
-j**2*(j - 14)*(j - 1)/4
Suppose 0 = 4*f - 2*f - 14. Let a be 4/6 - 20/(-15). Factor -2*k**5 + a*k**4 - 6 + f - 1.
-2*k**4*(k - 1)
Let b(h) be the second derivative of -h**4/6 - 4*h**3 - 11*h**2 - 157*h. Determine d, given that b(d) = 0.
-11, -1
Factor 1089/2*j**2 + 42*j**3 - 1218*j + 3/4*j**4 + 2523/4.
3*(j - 1)**2*(j + 29)**2/4
Let d(x) be the third derivative of -x**7/210 + x**6/24 - x**5/30 - 5*x**4/6 + 4*x**3 + 131*x**2. Factor d(t).
-(t - 3)*(t - 2)**2*(t + 2)
Let o(k) be the third derivative of k**8/224 - 4*k**7/105 + 29*k**6/240 - k**5/6 + k**4/12 + 278*k**2. Find z, given that o(z) = 0.
0, 1/3, 1, 2
Suppose 5*j = 3*f + 7, -3*f = -6*j + 2*j + 5. Let t be f/(-8) - 50/(-16). Factor 0 + 1/2*h**2 - 1/4*h**t - 1/4*h.
-h*(h - 1)**2/4
Let y(o) be the second derivative of 3*o**5/10 + 35*o**4/4 + 72*o**3 - 243*o**2/2 + 471*o. Factor y(u).
3*(u + 9)**2*(2*u - 1)
Let g(p) be the second derivative of p**6/72 + p**5/4 + 15*p**4/8 - 23*p**3/6 + 17*p. Let r(q) be the second derivative of g(q). Factor r(f).
5*(f + 3)**2
Suppose 0 = 3*c - 4*c + 4*r + 16, 0 = -5*c - r + 17. Determine m so that 14*m**4 - 10*m**3 + m**2 - 9*m**4 + c*m**2 = 0.
0, 1
Suppose -2*u - 7 - 1 = 0. Let d be -6*(-1)/u*-6. Factor 0*o + o**3 + 3*o**3 - o**3 - d*o + 6.
3*(o - 1)**2*(o + 2)
Factor -2*j**2 + 1 - 1 - 2*j + j**3 + 0 - 6*j.
j*(j - 4)*(j + 2)
Let m be (-3)/(-3) - (-6 - (2 - 7)). Let a(o) be the second derivative of 1/20*o**5 - 1/8*o**m - 3*o + 1/6*o**3 + 0 - 1/8*o**4 - 1/120*o**6. Factor a(g).
-(g - 1)**4/4
Let o be 8/(-22) - 147/(-11). Let k(g) be the first derivative of -o + 4/15*g**3 + 4/5*g + 4/5*g**2. Factor k(d).
4*(d + 1)**2/5
Suppose 0 = 5*m - 2*d, -2*d = 2*m - 7 - 7. Suppose y - 4 = -y. Factor 2*r - r + 3*r + y*r**m - 6*r.
2*r*(r - 1)
Let a(k) be the second derivative of -2*k**7/147 + 2*k**6/35 - 3*k**5/35 + k**4/21 - 3*k + 14. Determine r so that a(r) = 0.
0, 1
Let q(w) = w + 14. Let r be q(-10). Let i be (-5)/(-10) - 2/r. Factor -d**2 + 11*d**5 + i*d**3 - d**3 - 10*d**5 + d**4.
d**2*(d - 1)*(d + 1)**2
Let j = 132 - 525/4. Let k be (-8)/60 + 2 + 67/(-60). Factor j*o**2 - k*o - 3/2.
3*(o - 2)*(o + 1)/4
Let q be ((-15)/(-4))/(-5)*-20. Let l be -10*(24/q - 2). Solve -19*n**2 + 38*n**2 - l*n - 25*n**2 - 2*n**3 = 0.
-2, -1, 0
Let o = 2/253 - -496/1265. Factor -o*m**2 - 16/5*m - 32/5.
-2*(m + 4)**2/5
Let r(w) = 6*w - 33. Let u be r(7). Factor 5*i**5 - 9*i**5 - 8*i**2 + 3*i**3 + u*i**3.
-4*i**2*(i - 1)**2*(i + 2)
Let p = 158 + -148. Suppose -p = -3*a + 4*h,