
-1, -6/7
Factor 13149 + 2*m**2 + 73*m + 176*m + 15*m + 4275 - m**2.
(m + 132)**2
Let z = -7976/3 - -2737. Let o = z + -78. Factor 1/3*n**2 + 0*n + 0 - 1/3*n**3 + 1/3*n**5 - o*n**4.
n**2*(n - 1)**2*(n + 1)/3
Let r(c) be the third derivative of 0 + 0*c - 8*c**2 + 1/84*c**4 + 0*c**3 + 1/210*c**5. Solve r(h) = 0.
-1, 0
Let l(c) be the first derivative of 2*c + 1/6*c**4 - 1/3*c**3 + 3 + 0*c**2. Let d(j) be the first derivative of l(j). Factor d(w).
2*w*(w - 1)
Suppose 5*h = -0*h + 3*k + 23, 3*h = 5*k + 17. Factor -8*f - 1/2*f**h + 8 + 0*f**2 + 2*f**3.
-(f - 2)**3*(f + 2)/2
Let i = 3119/5265 - -8/1053. Factor -3/5*b**2 + 0 - i*b.
-3*b*(b + 1)/5
Suppose -g - 2*z - 2 + 0 = 0, 0 = -g + z + 4. Let p be 40/22 - g*1/(-11). Factor -18/11*o**p + 4/11 - 14/11*o.
-2*(o + 1)*(9*o - 2)/11
Let c(i) be the second derivative of 1/12*i**3 + 0 - 50*i - 3/16*i**4 + 0*i**2. Solve c(h) = 0 for h.
0, 2/9
Let j be 2/((-2)/(-76)*4). Suppose 0*i**3 - 16*i + j*i + 2*i**3 - i**3 + 4*i**2 = 0. Calculate i.
-3, -1, 0
Let n(x) be the first derivative of x**6/6 + 2*x**5/5 - 3*x**4/4 + 260. Determine w so that n(w) = 0.
-3, 0, 1
Let h be 5*184/(-56) - 3/(-7). Let u be (6/(-9))/(h/(-36)) - -3. Let 1/2 + n**4 - u*n**2 - 7/4*n**3 + 7/4*n = 0. What is n?
-1, -1/4, 1, 2
Let j = 2/445 - -87/445. Suppose -2/5*o**2 + 0 - 1/5*o**3 - j*o = 0. Calculate o.
-1, 0
Suppose -4*k + 9 = -5*v - 14, 4*v + 18 = 3*k. Determine w so that -1/3*w**k - 4/3*w - 1 = 0.
-3, -1
Factor 0*c**3 + 3/2*c**4 - 12 - 33/2*c**2 - 27*c.
3*(c - 4)*(c + 1)**2*(c + 2)/2
Solve 3/7*h**4 - 45/7*h + 3*h**2 + 3*h**3 + 0 = 0 for h.
-5, -3, 0, 1
Let n(l) = -l**3. Let m = 34 + -20. Let f(a) = m*a**3 - 5*a - 11*a + 24*a**2 + 4 + 4*a**4 - 26*a**3. Let y(o) = -f(o) - 4*n(o). Suppose y(w) = 0. What is w?
1
Let f(r) be the third derivative of 1/120*r**5 - 28*r**2 + 0*r - 1/18*r**3 - 1/720*r**6 + 0 - 1/1260*r**7 + 1/144*r**4. Find c such that f(c) = 0.
-2, -1, 1
Let g(m) be the third derivative of m**7/175 - 7*m**6/300 + m**5/50 + m**4/20 - 2*m**3/15 - 2*m**2 - 11. Factor g(q).
2*(q - 1)**3*(3*q + 2)/5
Let s(i) be the first derivative of -i**3/2 - 27*i**2/4 - 21*i - 21. Factor s(x).
-3*(x + 2)*(x + 7)/2
Let g be (9/12)/(189/280). Let r = 248/1197 - -2/133. Solve r*a**5 - g*a + 8/9*a**3 - 8/9*a**4 + 4/9*a**2 + 4/9 = 0.
-1, 1, 2
Let i(r) be the third derivative of 1/108*r**4 + 0*r - 2/27*r**3 + 1/270*r**5 + 0 - 26*r**2. Factor i(h).
2*(h - 1)*(h + 2)/9
Let o be 4/6 + (-20)/(-6). Let b be ((-1056)/27)/(-11) - (-6)/(-27). Suppose 14/3*s**o - b*s**2 - 4/3 - 6*s + 6*s**3 = 0. What is s?
-1, -2/7, 1
Let k(i) be the first derivative of -i**6/6 + 4*i**5/5 - i**4/2 - 4*i**3/3 + 3*i**2/2 - 86. Factor k(f).
-f*(f - 3)*(f - 1)**2*(f + 1)
Suppose 0 = -9*m - 10*m + 2527. Let r = m - 129. Determine y, given that -1/2*y**5 + 1/3*y**2 - 1/2*y - 1/6*y**r + y**3 - 1/6 = 0.
-1, -1/3, 1
Let p(g) be the first derivative of -g**4 + 176*g**3/3 + 308. Factor p(b).
-4*b**2*(b - 44)
Let q be 11/539*14*2/2. Factor 0*t**2 - 6/7*t + q*t**3 + 4/7.
2*(t - 1)**2*(t + 2)/7
Factor -14/3 + 2/3*g**2 - 4*g.
2*(g - 7)*(g + 1)/3
Let a = -995/7 - -999/7. Factor -a*k**3 + 4/7*k + 0*k**2 + 0.
-4*k*(k - 1)*(k + 1)/7
Let s(m) = 2*m**2 + 2*m + 3. Let l be s(-3). Suppose -y - 2*y = -l. Factor -3*n**4 + 6*n**3 + 4*n**2 - y*n**2 - 2*n**3.
-n**2*(n - 1)*(3*n - 1)
Let s(v) = v**4 - v**3 - 2*v**2 + 3*v + 3. Let g(h) = -2*h**4 + h**3 + 3*h**2 - 5*h - 5. Let z(c) = 3*g(c) + 5*s(c). Find k such that z(k) = 0.
-1, 0
Let m(b) = 4*b**2 + 33*b + 14. Let j be m(-8). Let k(n) be the first derivative of 2 - 6/5*n**5 + 0*n**4 + 1/2*n**j - 3/2*n**2 + 0*n + 2*n**3. Factor k(h).
3*h*(h - 1)**3*(h + 1)
Let l be (-1093)/2*8*(-9)/(-108). Let z = l + 369. Determine f, given that z*f - 4/3 + 8/3*f**2 = 0.
-2, 1/4
Let -5929*c**4 + 300*c - 10040*c**3 - 1409*c**2 + 845*c**3 - 2355*c**3 - 4 - 3908*c**2 = 0. What is c?
-1, 2/77
Let g be (66/(-14))/(-3) - 63/(-147). Suppose 4*h - g*u + 1 = -u, -3*h + 5 = 5*u. Find f such that 1/3 + h*f - 1/3*f**2 = 0.
-1, 1
Let o = 70 - 51. Suppose o - 1 = 9*w. Solve 0*l**w - 15/4*l**4 + 0*l - 3/2*l**3 + 0 = 0.
-2/5, 0
Let b(c) be the first derivative of -4/7*c - 3/7*c**2 + 4 - 2/21*c**3. Factor b(i).
-2*(i + 1)*(i + 2)/7
Let a = -307 + 518. Let h = 213 - a. Find r such that -12/7*r**2 - 2/7 + h*r**4 - 6/7*r**5 + 10/7*r - 4/7*r**3 = 0.
-1, 1/3, 1
Let b(d) = d**3 + 5*d**2 - 119*d - 418. Let g be b(-12). Let 0 + 6/5*l - 2/15*l**g = 0. Calculate l.
0, 9
Let h(t) = -t**3 + 18*t**2 - 76*t - 43. Let v be h(9). Factor -2/9*a**v - 4/9*a + 2/3.
-2*(a - 1)*(a + 3)/9
Find q, given that 22*q**2 + 484*q + 1/4*q**3 + 0 = 0.
-44, 0
Let a(l) be the third derivative of -l**7/840 + 11*l**6/480 + 13*l**5/80 + 41*l**4/96 + 7*l**3/12 + l**2 - 246. Suppose a(v) = 0. Calculate v.
-1, 14
Let j(b) be the second derivative of -b**5/15 + 7*b**4/54 - b**3/27 - 22*b. Suppose j(s) = 0. Calculate s.
0, 1/6, 1
Let n(c) be the second derivative of -c**7/14 + 3*c**6 - 489*c**5/10 + 378*c**4 - 2673*c**3/2 + 2187*c**2 + c + 76. Factor n(o).
-3*(o - 9)**3*(o - 2)*(o - 1)
Let y(u) = u**2 - 457*u - 6272. Let a(o) = 114*o + 1568. Let c(v) = 18*a(v) + 4*y(v). Suppose c(z) = 0. What is z?
-28
Let r(i) = i - 4. Let m be r(0). Let q be m/(-8) - 31/(-2). Factor -q + 24*k**3 + 24*k - 52*k**2 - 8*k - 4*k**4 + 12*k + 20*k.
-4*(k - 2)**2*(k - 1)**2
Let r be -1*1/((-3)/((-54)/(-3))). Factor -4 - 5*x + r - x + 7 - 3*x**2.
-3*(x - 1)*(x + 3)
Factor 70/13 + 2*z**2 - 2/13*z**3 - 94/13*z.
-2*(z - 7)*(z - 5)*(z - 1)/13
Let h be ((-14)/(-245))/(38/399). Factor 0*n + 9/5*n**2 + h*n**3 - 12/5.
3*(n - 1)*(n + 2)**2/5
Let p(f) be the first derivative of f**7/70 - 4*f**6/45 + 2*f**5/15 - 5*f**3 - 10. Let u(l) be the third derivative of p(l). Solve u(s) = 0.
0, 2/3, 2
Let s(p) be the third derivative of p**7/42 + 5*p**6/24 - 7*p**5/4 + 115*p**4/24 - 20*p**3/3 + 71*p**2. Factor s(y).
5*(y - 1)**3*(y + 8)
Let f be (-4412)/52 + 2/(-13). Let z = -83 - f. Factor 3/2*r**z + 0*r - 2 - 1/2*r**3.
-(r - 2)**2*(r + 1)/2
Let n(z) be the first derivative of -1/2*z + 1/2*z**2 - 1/4*z**4 + 1/6*z**3 - 21. Let n(o) = 0. Calculate o.
-1, 1/2, 1
Suppose -4*t = -i - i - 86, 4*i + 4 = 0. Let o = t + -16. Factor 6*w - 8*w**2 + 2 + 1 - 6 + o*w**2.
-3*(w - 1)**2
Let t(m) be the first derivative of -m**4 + 20*m**3 + 32*m**2 + 351. Solve t(s) = 0.
-1, 0, 16
Let b(u) be the second derivative of -12 - 2/15*u**4 - u + 13/150*u**6 - 29/100*u**5 + 2/35*u**7 + 2/5*u**3 + 0*u**2. Suppose b(o) = 0. Calculate o.
-2, -3/4, 0, 2/3, 1
Let q(k) be the first derivative of k**7/21 + 2*k**6/15 - k**4/3 - k**3/3 - k + 1. Let j(o) be the first derivative of q(o). Suppose j(l) = 0. Calculate l.
-1, 0, 1
Let u(p) = 2*p - 4. Suppose 0 = 2*b - 4 - 4. Let v be u(b). Let 3*z - 2*z**2 - 2*z - 3*z**v - 7*z**2 + 2*z + 9*z**3 = 0. What is z?
0, 1
What is j in 5/6*j + 7/3 - 1/6*j**2 = 0?
-2, 7
Factor 16*u**2 + 81*u**2 - 27*u**2 + 110*u**2 - 1785*u + 2890 - 5*u**3.
-5*(u - 17)**2*(u - 2)
Let j = 17 - -45. Solve j*c**3 - 4*c**2 - 56*c**3 - 4*c**5 + 2*c**5 = 0 for c.
-2, 0, 1
Let n(q) be the third derivative of -q**7/105 + q**5/10 - q**4/6 - 101*q**2. Factor n(g).
-2*g*(g - 1)**2*(g + 2)
Let x = 223 + 14. Let t = 951/4 - x. Factor t*g**5 + 0*g**2 - 3/4*g**3 + 0 + 0*g**4 + 0*g.
3*g**3*(g - 1)*(g + 1)/4
Let i(r) be the first derivative of r**7/1260 - r**6/240 - r**5/360 + r**4/48 - 3*r**2 + 2. Let l(z) be the second derivative of i(z). Solve l(m) = 0 for m.
-1, 0, 1, 3
Let h be (-21)/(-5) + 32/40. Suppose 4*b = -b + 2*x + 10, 0 = -h*x. Let 0*g**4 + 4 - g**b - g**4 - 4 - 2*g**3 = 0. What is g?
-1, 0
Determine a so that -74/3*a + 37/3*a**4 - a**3 + 1/3*a**5 - 113/3*a**2 + 0 = 0.
-37, -1, 0, 2
Let p(j) be the third derivative of -1/630*j**7 + 1/72*j**6 + 0 + 0*j - 1/20*j**5 + 7/72*j**4 - 8*j**2 - 1/9*j**3. Factor p(l).
-(l - 2)*(l - 1)**3/3
Let d(k) be the first derivative of -k**5/150 + k**4/30 - k**3/15 - 13*k**2/2 - 3. Let r(n) be the second derivative of d(n). Factor r(q).
-2*(q - 1)**2/5
Let x(m) be the first derivative of -128*m**3/9 - 16*m**2/3 - 2*m/3 + 129. Determine l, given that x(l) = 0.
-1/8
Let c(g) = -g**2 + 14*g + 34. Let o be c(15). Factor o*u**3 - 18*u**3 + 12*u + 6*u**2 + 8 - 5 + 5.
(u + 2)**3
Let y be (-6 - (0 + -1))*(-632)/395. Let a(x) be the first derivative of 1/2*x**4 + 