-1, 1
Let g(x) = 8*x**3 - 58*x**2 + 6*x + 6. Let t(c) = 18*c**3 - 117*c**2 + 13*c + 13. Let z(p) = -13*g(p) + 6*t(p). Factor z(o).
4*o**2*(o + 13)
Factor -1/4*i**2 + 7/2*i + 0.
-i*(i - 14)/4
Let s(g) be the first derivative of 5*g**4/18 + 44*g**3/27 - 17*g**2/9 - 20*g/9 + 87. Factor s(l).
2*(l - 1)*(l + 5)*(5*l + 2)/9
Let x = 294 + -292. Factor 3/2*m**4 - 3/2*m**3 + 3 + 3/2*m - 9/2*m**x.
3*(m - 2)*(m - 1)*(m + 1)**2/2
Let r(o) = -o**3 - 2*o**2 + 1. Let p be r(-1). Let b(m) be the third derivative of 0*m - 1/90*m**5 + 3*m**2 + 0*m**3 + p + 1/36*m**4. Factor b(v).
-2*v*(v - 1)/3
Let 18/7*s**2 - 22/7*s**3 + 22/7*s + 2/7*s**4 - 20/7 = 0. Calculate s.
-1, 1, 10
Let l = -77/50 - -16/25. Let y = -33/70 - l. Factor y*p**3 + 3/7*p**2 - 3/7*p**4 - 3/7*p + 0.
-3*p*(p - 1)**2*(p + 1)/7
Let t(j) be the third derivative of 0*j**4 + 0*j + 1/168*j**8 + 11*j**2 + 1/20*j**6 + 0*j**5 - 4/105*j**7 + 0*j**3 + 0. Solve t(b) = 0 for b.
0, 1, 3
Let z = 112817/14556 - 2/3639. Solve o - 4*o**3 + z*o**2 - 15/4*o**4 - 1 = 0 for o.
-2, -2/5, 1/3, 1
Let z(u) = -2*u**4 - 2*u**3. Let t(x) = -3*x**4 - 2*x**3. Let d(n) = n**2 + 17*n + 4. Let i be d(-17). Let r(w) = i*z(w) - 3*t(w). Let r(q) = 0. What is q?
0, 2
Let s = 5624 + -28112/5. Determine y so that -s*y + 0 + 8/5*y**2 + 6/5*y**3 = 0.
-2, 0, 2/3
Suppose -h - 4*h + 2 = 3*m, -4*h - 20 = 0. Let d be (m + -9)/((-3)/(-2 + 1)). Factor 2/5*b**2 + 4/5*b + d - 2/5*b**3.
-2*b*(b - 2)*(b + 1)/5
Let y = -141/11 - -434/33. Find b such that -17/6*b**2 - 10/3*b**3 + y + 5/6*b = 0.
-1, -1/4, 2/5
Suppose 2*w = 4*v - v - 18, -4*w - 12 = -2*v. Let d = 166/5 - 1152/35. Factor -8/7 + d*y**2 + w*y.
2*(y - 2)*(y + 2)/7
Let n(m) be the first derivative of m**9/9072 - m**7/2520 + m**3/3 - 3. Let d(a) be the third derivative of n(a). Suppose d(x) = 0. Calculate x.
-1, 0, 1
Let y = -1369/2 - -685. Let a(r) be the first derivative of -y*r**4 + 8 - 4*r + 4/3*r**3 + r**2. Let a(i) = 0. What is i?
-1, 1, 2
Let n be ((-4)/(-3))/(-8 - 304/(-36)). Factor 3/5*p**n - 1/5*p**4 + 0*p + 0*p**2 + 0.
-p**3*(p - 3)/5
Factor 2/3*p**2 + 2/3*p**3 - 34/3*p + 10.
2*(p - 3)*(p - 1)*(p + 5)/3
Let w(d) be the first derivative of -d**6/54 - 29*d**5/45 - 79*d**4/9 - 1568*d**3/27 - 1664*d**2/9 - 2048*d/9 + 221. Find v, given that w(v) = 0.
-8, -4, -1
Let a(n) be the first derivative of 3/4*n**3 + 15/8*n**2 + 3/2*n - 12. Find z, given that a(z) = 0.
-1, -2/3
Let y(h) be the first derivative of 18/5*h + 23 - 6/5*h**2 - 1/40*h**4 - 11/30*h**3. Factor y(v).
-(v - 1)*(v + 6)**2/10
Let g be (-1 - -3)*(-1 + -4 - -7). Let i(o) be the first derivative of 0*o**3 + 6/5*o + 3/20*o**g - 2 - 9/10*o**2. Factor i(n).
3*(n - 1)**2*(n + 2)/5
Determine k so that 50/7*k**2 + 8/7 + 2*k**4 + 2/7*k**5 + 38/7*k**3 + 32/7*k = 0.
-2, -1
Suppose -8/5 - 1/2*i**2 + 21/5*i = 0. What is i?
2/5, 8
Let i(t) be the first derivative of -9*t**5 - 15*t**4/4 + 85*t**3/3 + 35*t**2/2 - 20*t + 92. Find a, given that i(a) = 0.
-1, 1/3, 4/3
Suppose 5*o + 15 = 5*f, -203*f + 5*o - 1 = -206*f. Factor -2/7*u**f - 4/7 + 6/7*u.
-2*(u - 2)*(u - 1)/7
Let d(o) be the third derivative of -2/45*o**3 + 0 + 0*o + 1/60*o**4 + 5*o**2 - 1/450*o**5. Factor d(s).
-2*(s - 2)*(s - 1)/15
Let x = -58759/9 - -6529. Factor -4/9*k - 2/9*k**2 - x.
-2*(k + 1)**2/9
Let d(l) be the first derivative of -10 + 0*l**2 + 54*l**6 + 16/3*l**3 + 36*l**5 + 0*l - 32*l**4. What is t in d(t) = 0?
-1, 0, 2/9
Let b(v) = -v**3 + 2*v**2 + 4*v + 1. Let i be b(3). Suppose 6*l**4 + 12*l**5 - 8*l**3 + l**4 - 16*l**2 - 3*l**4 - 4*l + 12*l**i = 0. Calculate l.
-1, -1/3, 0, 1
Suppose -w = 2 - 6. Factor 21*b + 2*b**3 + 17*b**4 - 12 - 8*b**w + 3*b**2 - 23*b**3.
3*(b - 1)**2*(b + 1)*(3*b - 4)
Let k(m) = 123*m - 243. Let q be k(2). Factor -4 - 2*p + p**2 + 1/2*p**q.
(p - 2)*(p + 2)**2/2
Factor 1380*n**2 + 2 - 7200*n**3 - 272/3*n + 2250*n**4.
2*(n - 3)*(15*n - 1)**3/3
Let p be (-7 - (-57)/8)*0. Let k(m) be the second derivative of -1/5*m**5 + p - 16/21*m**3 + 11*m + 8/7*m**2 - 19/21*m**4. Determine i, given that k(i) = 0.
-2, -1, 2/7
Let v(k) be the third derivative of 0*k + 1/15*k**5 - 2/105*k**7 + 1/84*k**8 + 0 - 1/10*k**6 - k**2 + 1/3*k**4 + 0*k**3. Factor v(o).
4*o*(o - 2)*(o - 1)*(o + 1)**2
Find s, given that 5*s**3 - 47*s**3 + 2*s**4 - 59*s**2 + 59*s**2 = 0.
0, 21
Suppose 12 = -8*b + 11*b. Suppose -w = -b*l - 4, w - 4*w + 12 = -4*l. Factor 0*o**2 + l + 1/2*o**4 + 2*o - 3/2*o**3.
o*(o - 2)**2*(o + 1)/2
Let t(g) be the third derivative of -g**7/210 + 7*g**6/40 - 13*g**5/20 + 19*g**4/24 - 4*g**2 - 39*g. Determine u so that t(u) = 0.
0, 1, 19
Suppose -131*f**2 - 3 + 172*f + 2 - 103*f**2 + 5 + 58*f**2 = 0. What is f?
-1/44, 1
Let f(p) be the third derivative of p**8/2240 + 3*p**7/280 + p**6/16 - 5*p**5/8 + 3*p**4/4 + 12*p**2. Let u(a) be the second derivative of f(a). Factor u(x).
3*(x - 1)*(x + 5)**2
Let k(t) be the second derivative of -t**4/30 + 28*t**3/15 + 29*t**2/5 - 3*t - 13. Let k(j) = 0. Calculate j.
-1, 29
Let l(p) be the first derivative of -19*p**3 - 279*p**2/2 + 30*p + 48. Let l(v) = 0. Calculate v.
-5, 2/19
Let p(k) = -3*k + 1. Let r(w) = w - 1. Let s(l) = -p(l) - 2*r(l). Let q(z) = 5*z**2 - 15*z - 5. Let f(m) = q(m) + 5*s(m). Factor f(t).
5*t*(t - 2)
Let k(q) be the second derivative of q**9/1260 - q**8/448 + q**7/840 + q**4/4 + 5*q. Let j(i) be the third derivative of k(i). Suppose j(u) = 0. What is u?
0, 1/4, 1
Let c(a) be the second derivative of a**5/330 - a**4/33 + 4*a**3/33 - 6*a**2 + 9*a. Let o(q) be the first derivative of c(q). Factor o(r).
2*(r - 2)**2/11
Let d be (-1 + (-5)/(-1))*(-43 - -44). Suppose 2*m - 3*n = -2, d*n - 2*n = 4*m - 4. Let -1 + 7/2*a**m + 5/2*a = 0. Calculate a.
-1, 2/7
Let t(q) = -q**3 - q**2 - q - 2. Let g(j) = j**3 + 78*j**2 - 1442*j + 4. Let f(h) = -3*g(h) - 6*t(h). Find r, given that f(r) = 0.
0, 38
Suppose 0 = 5*p + x - 3, -13 = 5*p - p + 3*x. Let 2/3*o**3 + 2/3*o**p + 0*o + 0 = 0. Calculate o.
-1, 0
Let z(t) = t**3 - 7*t**2 - 14*t - 6. Let b(d) = -2*d**3 + 14*d**2 + 30*d + 14. Let g(y) = 6*b(y) + 14*z(y). Let g(f) = 0. Calculate f.
-1, 0, 8
Find j such that 24*j**2 - 1323*j**5 + 16895 + 2394*j**4 - 16895 + 492*j**3 = 0.
-2/21, 0, 2
Let g(d) = -5*d**2 + 110*d. Let f(y) = -5*y**2 + 113*y. Let x(c) = -5*f(c) + 6*g(c). Factor x(t).
-5*t*(t - 19)
Suppose 3*v + 3*w = 18, -7*v - 3*w + 30 = -2*v. Let -v*j**3 - 21*j**4 - j**2 - 3*j**2 - 4*j**5 - 6*j**3 + 9*j**4 = 0. Calculate j.
-1, 0
Let u(j) be the second derivative of 1/2*j**4 + 1/30*j**6 - 9/2*j**2 - 1/5*j**5 + 9*j + 0 - 2/3*j**3. Let x(h) be the first derivative of u(h). Factor x(p).
4*(p - 1)**3
Let z = -4074 + 4077. Factor -4/5 + 32/5*g**z - 16*g**2 + 34/5*g.
2*(g - 2)*(4*g - 1)**2/5
Let f = -25 - -25. Let t(b) = -b**3 - b**2 - b + 2. Let k be t(f). Factor 2*m**3 + m - 6*m**4 + m**k - 3*m**3 + 5*m**4.
-m*(m - 1)*(m + 1)**2
Factor 10/13*i**3 - 86/13*i**2 + 118/13*i - 42/13.
2*(i - 7)*(i - 1)*(5*i - 3)/13
Factor -4*l**3 + 2 - 3*l**4 + l**2 + 9/2*l - 1/2*l**5.
-(l - 1)*(l + 1)**3*(l + 4)/2
Let b(q) = 28*q**4 - 33*q**3 - 17*q**2 + 27*q - 11. Let s(m) = -27*m**4 + 32*m**3 + 18*m**2 - 28*m + 9. Let k(j) = -2*b(j) - 3*s(j). Solve k(h) = 0 for h.
-1, 1/5, 1
Let s(y) = 3*y + 45. Let q be s(-16). Let a be 37/2*(-20)/(-110) + q. Factor -a*z - 2/11*z**2 - 2/11.
-2*(z + 1)**2/11
Let v(k) = -k**5 - 2*k**4 + 11*k**3 + 26*k**2 + 19*k + 2. Let i(t) = -2*t**5 - 5*t**4 + 21*t**3 + 52*t**2 + 38*t + 3. Let q(n) = 6*i(n) - 14*v(n). Factor q(y).
2*(y - 5)*(y + 1)**4
Suppose 117*d = 104*d + 26. Let a(m) be the first derivative of -3*m**d - 1 + 1/3*m**6 + 6/5*m**5 - 2*m - 4/3*m**3 + m**4. Factor a(s).
2*(s - 1)*(s + 1)**4
Factor -9*v**2 - 9*v + 0*v**3 + 12*v**2 + 12*v**3.
3*v*(v + 1)*(4*v - 3)
Let c(t) be the second derivative of -t**4/4 + 28*t**3 - 1176*t**2 + 192*t + 1. Factor c(b).
-3*(b - 28)**2
Let o(b) be the first derivative of b**5/20 - b**4/8 - 5*b**3/12 + 3*b**2/4 - 120. Factor o(y).
y*(y - 3)*(y - 1)*(y + 2)/4
Let k(y) = y - 8. Let b be k(12). Let v(h) be the second derivative of -5*h - 2/45*h**3 + 0 - 1/90*h**b - 1/15*h**2. Solve v(p) = 0.
-1
Factor -45*j**2 + 249*j + 67*j**2 + 102 - 37*j**2.
-3*(j - 17)*(5*j + 2)
Let o be ((-3030)/66)/(-5) + -8. Let k(q) be the first derivative of -4/11*q + 15/22*q**4 + o*q**2 - 1 - 52/33*q**3. Suppose k(l) = 0. What is l?
1/3, 2/5, 1
Let z = 46