279 - -2282. Factor 1/2*a**2 - h - 1/2*a.
(a - 3)*(a + 2)/2
Let o = 2/577 + 569/2308. Let p(v) be the first derivative of 3/16*v**4 - 3/4*v - 1 + o*v**3 - 3/8*v**2. Factor p(r).
3*(r - 1)*(r + 1)**2/4
Let w(o) be the third derivative of 0*o + 5/24*o**4 - 1/36*o**5 + 16*o**2 + 0 + 0*o**3. Suppose w(s) = 0. Calculate s.
0, 3
Let o(i) be the third derivative of i**6/60 - 3*i**5/10 + 9*i**4/4 - 9*i**3 + 19*i**2. Suppose o(f) = 0. Calculate f.
3
Let c be 2/3 - (-79)/3. Suppose -3*g - c = -3*q - q, q = -2*g + 15. Let 2*z**2 + q*z**3 + 2*z**2 + 3*z**2 - 3*z**5 - 13*z**2 = 0. Calculate z.
-2, 0, 1
Let x(z) be the first derivative of -312*z**5 + 14 - 75/2*z**2 - 145*z**3 - 120*z**6 - 5*z - 1205/4*z**4. Find b such that x(b) = 0.
-1, -1/3, -1/4
Factor -16 - 22*j**2 - 19*j**4 + 42*j**4 - 21*j**4 + 36*j.
2*(j - 2)*(j - 1)**2*(j + 4)
Suppose 75 - 5 = 2*n. Factor 2*j**4 + j**2 - 3*j**4 + j**5 + 17*j**3 - n*j**3 + 17*j**3.
j**2*(j - 1)**2*(j + 1)
Let b(z) be the first derivative of -z**3/3 - 9*z**2/2 + 7*z + 7. Let q be b(-8). What is l in q*l**4 - 3*l**2 - 2*l**4 - 10*l**4 = 0?
-1, 0, 1
Let c = 508 - 505. Let b(w) be the first derivative of 1/11*w**2 - 4/55*w**5 + 0*w - 1/33*w**6 + 4/33*w**c + 0*w**4 - 3. Find f such that b(f) = 0.
-1, 0, 1
Let x(l) be the second derivative of 12 + 25*l**2 + 2*l + 10/9*l**3 + 1/54*l**4. Factor x(u).
2*(u + 15)**2/9
Factor 12/11*p - 2/11*p**2 - 16/11.
-2*(p - 4)*(p - 2)/11
Factor -24/11*b**3 + 2/11*b**4 + 42/11*b**2 - 20/11*b + 0.
2*b*(b - 10)*(b - 1)**2/11
Suppose 2 + 0 = a. Suppose 3312*l - 13 = 3301*l + 20. Factor 1/7*v**l + 1/7*v + 0 - 2/7*v**a.
v*(v - 1)**2/7
Let m(p) be the second derivative of -3 - 15/28*p**4 - 6/7*p**2 + 1/14*p**6 + 3/70*p**5 - 8/7*p**3 + p. Suppose m(o) = 0. What is o?
-1, -2/5, 2
Suppose -36719 = 14*t - 36747. Factor -1/2*l**t + 0*l + 1/2.
-(l - 1)*(l + 1)/2
Find j, given that -4/11*j**4 + 0*j - 1/11*j**5 + 4/11*j**2 + 0 + 1/11*j**3 = 0.
-4, -1, 0, 1
Let n(p) = 2*p**5 - 17*p**4 + 41*p**3 - 58*p**2 + 36*p - 6. Let x(o) = o**4 + o**3 - 1. Suppose 1 = 2*s - 3*s. Let q(j) = s*n(j) - 2*x(j). Factor q(k).
-(k - 2)**3*(k - 1)*(2*k - 1)
Factor 10/9*i**3 + 2/3*i - 2/9*i**4 - 14/9*i**2 + 0.
-2*i*(i - 3)*(i - 1)**2/9
Solve 60 - 12*i + 29*i + 73*i - 10*i + 35*i**2 + 5*i**3 = 0 for i.
-3, -2
Let j(x) = -x**3 - 6*x**2 - 4*x + 7. Let o(p) = -p**2 - 7*p - 5. Let c be o(-7). Let i be j(c). Factor 2*f**3 - 2*f**2 - 2*f**i + 5*f**4 - 3*f**4 + 0*f**3.
2*f**2*(f - 1)*(f + 2)
Solve -33/2*x**3 + 1/2*x - 5/2 + 37/2*x**2 = 0 for x.
-1/3, 5/11, 1
Factor -108/13*r + 12/13*r**3 - 162/13 + 2/13*r**4 + 0*r**2.
2*(r - 3)*(r + 3)**3/13
Let q be ((-82)/205)/(4/(-40)). What is s in 16*s**3 - 16*s - 12*s**q + 16/3 + 20/3*s**2 = 0?
-1, 2/3, 1
Let y(u) = -u**4 - 12*u**3 - 10*u**2 + 3*u - 7. Let o(g) = 7*g**3 - 3 + 2 - 12*g**3 - g**2 + 4*g**3. Let t(k) = -36*o(k) + 4*y(k). Factor t(d).
-4*(d - 1)*(d + 1)**2*(d + 2)
Let u be 9/(-81) + 1/9. Let w(l) be the third derivative of u*l - 1/150*l**5 - 3/5*l**3 + 1/10*l**4 + 0 - l**2. Factor w(s).
-2*(s - 3)**2/5
Let x = -6330/7 - -31664/35. Find c such that 0 + x*c + 2/5*c**2 = 0.
-1, 0
Suppose 0 = 4*m - 12 + 4. Determine j so that -23*j + 55*j + 2*j**m - 10*j**2 - 4*j**3 = 0.
-4, 0, 2
Let v = 11548/3205 - 2/641. Factor -78/5*r + 2/5*r**4 + 58/5*r**2 + 36/5 - v*r**3.
2*(r - 3)**2*(r - 2)*(r - 1)/5
Let j(d) be the third derivative of -2/147*d**7 + 1/35*d**6 + 0*d - 1/35*d**5 + 1/392*d**8 + 0*d**3 + d**2 + 0 + 1/84*d**4. Determine h, given that j(h) = 0.
0, 1/3, 1
Let n(g) be the third derivative of 26*g**2 + 1/420*g**7 + 0*g + 0 + 0*g**3 + 0*g**4 + 0*g**5 + 1/120*g**6. Determine f so that n(f) = 0.
-2, 0
Factor -2*n**3 - 1/4*n**4 + 0 + 0*n**2 + 0*n.
-n**3*(n + 8)/4
Let l = -1317 + 1319. Let u(a) be the third derivative of -1/32*a**4 - 1/12*a**3 + 0*a + 0 - 1/240*a**5 + 3*a**l. Factor u(k).
-(k + 1)*(k + 2)/4
Factor -3/4*i**4 + 0 - 9/2*i**3 + 3/4*i**2 + 9/2*i.
-3*i*(i - 1)*(i + 1)*(i + 6)/4
Solve 1352/15 + 2/15*p**2 + 104/15*p = 0.
-26
Let c(p) = p**4 - 8*p**3 + 6*p**2 - 6*p. Let z(a) = -a**3 + a**2 - a. Let i be (69/46)/(1/(56/(-6))). Let w(u) = i*z(u) + 2*c(u). Solve w(s) = 0.
-1, 0, 1
Let r(n) = 14*n**2 + 2 + 1 - 2 - 13*n**2. Let s(h) = h**2 - 6*h + 4. Let k = -12 - -8. Let m(j) = k*r(j) + s(j). Factor m(l).
-3*l*(l + 2)
Suppose -72 = -11*r - 17. Let l(d) be the second derivative of -2*d**2 + 2*d + 1/3*d**4 + 0 + 1/3*d**3 - 1/10*d**r. Find g such that l(g) = 0.
-1, 1, 2
Let k(z) be the second derivative of z**7/24 - 23*z**6/120 - 3*z**5/16 + 55*z**4/48 + 7*z**3/6 - 3*z**2/2 - 42*z. Solve k(o) = 0.
-1, 2/7, 2, 3
Let s = 25629 - 179401/7. Factor 0 + 18/7*z - s*z**2.
-2*z*(z - 9)/7
Let i be ((-8)/(-6))/((-20)/(-30)). Suppose 28*d**2 + 0*d**3 - 26*d**2 - i*d**3 = 0. What is d?
0, 1
Let o(r) be the first derivative of r**6/27 - 14*r**5/45 + 19*r**4/18 - 50*r**3/27 + 16*r**2/9 - 8*r/9 + 78. Solve o(s) = 0 for s.
1, 2
Suppose 3/5*o + 6/5*o**2 - 3/5*o**3 - 6/5 = 0. Calculate o.
-1, 1, 2
Let a = 348/305 + -33/61. What is g in 0 + 3/5*g**2 - a*g**3 + 0*g = 0?
0, 1
Let b(w) = -w**2 + 5*w - 2. Let j(o) = 6*o**2 + 1497*o + 190518. Let m(k) = -3*b(k) - j(k). Factor m(r).
-3*(r + 252)**2
Let j = -94 + 128. Let k = -54 - -79. Factor -k*z + j*z + 4 + 0 + 2 + 3*z**2.
3*(z + 1)*(z + 2)
Let a(h) = 6*h**3 + 18*h**2 - 130*h + 144. Let u(i) = 31*i**3 + 89*i**2 - 651*i + 720. Let j(t) = 11*a(t) - 2*u(t). Factor j(d).
4*(d - 2)**2*(d + 9)
Factor -13/4*l**2 + 7/2*l**3 - 1/4*l**4 + 0 + 0*l.
-l**2*(l - 13)*(l - 1)/4
Let x be ((-721)/(-28) + -25)*8/5. Suppose -2/5*u**2 + x*u + 0 = 0. Calculate u.
0, 3
Let t(y) = y**3 + 2*y**2 - 5*y - 4. Let a be t(-3). Factor i**3 + 3*i + 0*i + 3*i**4 - 4*i**3 + 0*i**2 - 3*i**a.
3*i*(i - 1)**2*(i + 1)
Let b(f) be the third derivative of 27*f**5/70 - 3*f**4/14 + f**3/21 - 32*f**2. Factor b(h).
2*(9*h - 1)**2/7
Suppose 0 = 3*i + 15, 5*w - 12 = i + 3. Solve -24*b + 29 + 10 + 9 + b**2 + w*b**2 = 0.
4
Find v such that -7 - 1/7*v**2 - 50/7*v = 0.
-49, -1
Let d(w) be the first derivative of -w**4/8 + 4*w**3/3 - 7*w**2/4 + 226. Suppose d(p) = 0. Calculate p.
0, 1, 7
Let n(t) be the second derivative of -t**5/200 + t**4/60 - t**3/60 + 3*t + 2. Factor n(g).
-g*(g - 1)**2/10
Let x(b) be the third derivative of b**7/42 - 3*b**6/4 + 109*b**5/12 - 105*b**4/2 + 490*b**3/3 - b**2 + 240. Factor x(y).
5*(y - 7)**2*(y - 2)**2
Let s(c) be the first derivative of 11*c**5/40 + c**4 + 5*c**3/4 + c**2/2 + 2*c + 20. Let p(g) be the first derivative of s(g). Factor p(o).
(o + 1)**2*(11*o + 2)/2
Let d(t) = -10*t**2 + t - 4. Let g(i) = i**2 - 1 - 3*i**2 - i**2. Let h(r) = -2*d(r) + 7*g(r). Let s(p) = p - 1. Let k(y) = 3*h(y) + 3*s(y). Solve k(j) = 0.
-1, 0
Let p be (3 - (-69)/(-6))*-2. Let f = 19 - p. Factor 6*x - 12*x - 4 + 1 - x**f - 6.
-(x + 3)**2
Let t(i) be the second derivative of i**6/45 + i**5/5 - 3*i**4/2 - 12*i**3 + 108*i**2 - 59*i. Factor t(f).
2*(f - 3)**2*(f + 6)**2/3
Let d(z) be the first derivative of z**7/105 - z**6/15 + z**5/6 - z**4/6 + 8*z**2 + 17. Let i(o) be the second derivative of d(o). Let i(s) = 0. What is s?
0, 1, 2
Let x(d) be the third derivative of d**7/126 - d**6/24 - d**5/6 + 5*d**4/9 + 102*d**2. What is y in x(y) = 0?
-2, 0, 1, 4
Suppose -45 = -7*a + 11. Let n(i) be the first derivative of -a - 4/25*i**5 + 16/15*i**3 + 1/15*i**6 - 7/5*i**2 - 1/5*i**4 + 4/5*i. Solve n(l) = 0.
-2, 1
Let b = -29 + 32. Suppose 18 - b = 5*l. Determine r so that 3 - r**5 - 6*r**3 + l*r**4 + 3*r + 4*r**5 + 0*r**5 - 6*r**2 = 0.
-1, 1
Let a(q) be the first derivative of q**5/15 + 2*q**4/3 - 64*q**2/3 - 256*q/3 - 154. Suppose a(h) = 0. Calculate h.
-4, 4
Let f(b) = -b**2 - b + 57. Let j be f(7). Let t(v) be the first derivative of -5/4*v**4 + 5*v - 5/3*v**3 + j + 5/2*v**2. Solve t(i) = 0.
-1, 1
Let g(s) be the first derivative of 17 + 81/8*s**2 + 45/2*s**4 - 27/5*s**5 - 109/4*s**3 - 3/2*s. Let g(k) = 0. What is k?
1/6, 1, 2
Let j(t) = -8*t**3 + t**2 + 23*t + 7. Let u = 40 + -26. Let q(p) = 2*p - u*p + p - p**2 + 0 - 3 + 4*p**3. Let x(m) = 3*j(m) + 7*q(m). Factor x(n).
4*n*(n - 2)*(n + 1)
Let a = -6 + 11. Suppose 51*v + a = 52*v. Factor 2/3*l**v - 4/3*l**3 + 2/3*l + 4/3*l**2 - 2/3 - 2/3*l**4.
2*(l - 1)**3*(l + 1)**2/3
Let k(a) be the third derivative of -a**5/90 + 49*a**3/9 - 2*a**2 - 7*a. Factor k(m).
-2*(