0, 1
Let f be (15/25)/((-2)/(-70)). Let j be (-7)/f - 10/(-12). Factor -1/4*m**2 - 1/4 - j*m.
-(m + 1)**2/4
Find b such that -5*b**4 + 83*b**3 + 71*b**3 - 144*b**3 - 5*b**2 = 0.
0, 1
Let n be (2/(-5))/((-17)/((-595)/(-42))). Factor -8/3*g**2 - 5/3*g - n - 4/3*g**3.
-(g + 1)*(2*g + 1)**2/3
Suppose -8*v = -3*v. Let t be (2/3)/((-10)/(-6)). Solve 0*p + 2/5*p**4 + 0*p**3 + 0 - t*p**5 + v*p**2 = 0 for p.
0, 1
Let w(f) be the first derivative of -f**4 + 8*f**3/3 - 38. Factor w(k).
-4*k**2*(k - 2)
Let q(f) = 9*f + 4*f**2 - 2*f**2 - f**2 - 5*f. Let d be q(-5). Determine z so that 2/5*z**d - 4/5*z**3 + 2/5*z + 2/5 - 4/5*z**2 + 2/5*z**4 = 0.
-1, 1
Suppose -4*q + q = -9. Let i(n) be the third derivative of 0*n - n**2 - 1/120*n**5 + 1/96*n**4 + 0 + 0*n**q + 1/480*n**6. Suppose i(p) = 0. What is p?
0, 1
Suppose 0 = 7*f - 3*f. Let j(b) be the second derivative of b + 1/6*b**4 + 1/10*b**5 + 0 + f*b**3 + 0*b**2. What is t in j(t) = 0?
-1, 0
Suppose -8*c = -4*c - 2*l - 4, 2*l = -4*c + 12. Let h be 17 - 13 - (-26)/(-7). Determine s so that h + 2/7*s**c + 4/7*s = 0.
-1
Let b(i) = 6*i**4 + 5*i**3 - 18*i**2 + 17*i + 5. Let y(o) = -3*o**4 - 3*o**3 + 9*o**2 - 9*o - 3. Let r(z) = 3*b(z) + 5*y(z). Suppose r(u) = 0. Calculate u.
-2, 0, 1
Factor 8*a - 4*a**3 - 8*a**2 + 9*a**2 - 5*a**2.
-4*a*(a - 1)*(a + 2)
Let l(f) be the first derivative of 2/21*f**3 + 0*f - 3 + 1/14*f**4 - 2/7*f**2. Let l(k) = 0. Calculate k.
-2, 0, 1
Let y(z) = -9*z**2 - 14*z + 12. Let j = 113 + -35. Let w = 56 - j. Let m(l) = l**2 + l - 1. Let p(x) = w*m(x) - 2*y(x). Factor p(d).
-2*(d - 1)*(2*d - 1)
Let l(p) = -p. Suppose 0 = s, 0 = v + 2*s - 0*s + 2. Let y be l(v). Find o, given that 3*o**y + 4*o + 0 - 5*o**2 - 2*o + 4 = 0.
-1, 2
Let o(f) be the third derivative of f**7/1120 - f**6/192 + f**5/80 - f**4/8 - 2*f**2. Let n(l) be the second derivative of o(l). Factor n(v).
3*(v - 1)*(3*v - 2)/4
Factor -s**2 + 4*s**2 + 2*s**2 - 2*s**2 + 2*s.
s*(3*s + 2)
Let w = -3979/1036 + 49/74. Let o = w + 24/7. Factor o*h**3 + 1/4*h + 1/2*h**2 + 0.
h*(h + 1)**2/4
Let h(s) = -s**2 + 2*s + 25. Let r be h(6). Let o(v) be the first derivative of 0*v - 1/2*v**4 + 0*v**2 - 4/3*v**3 + r. Determine k, given that o(k) = 0.
-2, 0
Let j(p) be the second derivative of -p**5/24 - 5*p**4/36 - 5*p**3/36 + 15*p. Factor j(r).
-5*r*(r + 1)**2/6
Factor -1/2*w**2 - 2 + 5/2*w.
-(w - 4)*(w - 1)/2
Let f = 11 - 3. Factor -u**3 - 59 + 47 + 12*u - f*u**3 + 15*u**2.
-3*(u - 2)*(u + 1)*(3*u - 2)
Let q(k) = -k**2 + k - 1. Let u(h) = -4*h**3 + 13*h**2 - h - 3. Let i(t) = 5*q(t) + u(t). Factor i(x).
-4*(x - 2)*(x - 1)*(x + 1)
Let p(w) be the third derivative of w**6/120 - w**5/30 + w**2. Determine t so that p(t) = 0.
0, 2
Factor -5*r**2 + 3*r**3 + 3*r**2 + 4*r**4 + r**3 - 2*r**4 - 4*r.
2*r*(r - 1)*(r + 1)*(r + 2)
Let l be 2/4*(-35)/(-42). Let b = l + 1/12. Factor b*p**2 + p + 1/2.
(p + 1)**2/2
Factor -w**5 - 1 + 0*w - w**3 + 0*w**5 + 5*w**2 - 3*w**5 - 8*w**4 + w.
-(w + 1)**3*(2*w - 1)**2
Let x be 2/(-15)*(-8)/32. Let h(n) be the third derivative of 0 - n**2 + 1/24*n**4 + 0*n**3 - 1/20*n**5 + 0*n - x*n**6. Determine w, given that h(w) = 0.
-1, 0, 1/4
Factor 6/7*a + 2/7*a**2 + 0.
2*a*(a + 3)/7
Let l(j) be the first derivative of j**5/35 + j**4/14 - 4*j**3/21 - 4*j**2/7 + 7. Factor l(q).
q*(q - 2)*(q + 2)**2/7
Factor -8/7*v - 2/7*v**2 - 8/7.
-2*(v + 2)**2/7
Let f = 3626/4059 + -2/451. Find b such that 4/9 - 2/9*b**3 + f*b**2 - 10/9*b = 0.
1, 2
Let u(c) = c + 2. Let l be u(-2). Let w(q) be the third derivative of 0*q + l - 1/3*q**4 - 2*q**2 + 4/3*q**3 + 1/30*q**5. Factor w(i).
2*(i - 2)**2
Let r(l) = -l - 3. Let q be r(-5). Suppose 3*w**q - w - 5*w**2 - 3*w = 0. Calculate w.
-2, 0
Determine x, given that -2*x**2 + 4*x**3 + 3*x + 3*x + 3*x**4 - x**2 - 10*x**3 = 0.
-1, 0, 1, 2
Let i be 0*((-4)/10)/(12/(-15)). Factor i + l**4 + 0*l**3 - l**2 + 1/2*l**5 - 1/2*l.
l*(l - 1)*(l + 1)**3/2
Let k be ((-2)/(-14))/(40/70). Factor 1/4*j**2 + 0 - k*j.
j*(j - 1)/4
Let h = -4 + 6. Let p(k) = 0*k**2 - k - k**2 - 2*k**2 - 3 + 6 - 4*k**3 + h*k**5. Let t(q) = -q**2 - q + 1. Let f(x) = -p(x) + 3*t(x). Factor f(b).
-2*b*(b - 1)**2*(b + 1)**2
Factor 2 - 4*q**4 - 2*q**4 - 17*q**5 + 4*q**2 - 6*q + 38*q**5 - 19*q**5 + 4*q**3.
2*(q - 1)**4*(q + 1)
Let q(v) be the second derivative of v**7/63 - v**6/15 + v**5/15 + v**4/9 - v**3/3 + v**2/3 - 4*v. Solve q(r) = 0.
-1, 1
Let n(c) = c**2 + 9*c + 10. Let k be n(-8). Factor -2*l - l**2 - l + 3*l**2 + 2 - l**k.
(l - 2)*(l - 1)
Let t be (-48)/(-10) + -3*6/(-90). Let j(h) be the first derivative of 0*h**4 + 3 - 2*h + 4/3*h**3 - 2/5*h**t + 0*h**2. Factor j(r).
-2*(r - 1)**2*(r + 1)**2
Let o(w) = -w + 12. Let x = -11 + 23. Let j be o(x). Suppose j - 2/9*r**2 - 2/3*r**3 + 0*r = 0. What is r?
-1/3, 0
Let i(t) be the third derivative of -3/40*t**6 + 1/2*t**4 + 1/112*t**8 + 0*t + 0 - 2*t**2 + 1/5*t**5 - 1/35*t**7 + 0*t**3. What is b in i(b) = 0?
-1, 0, 2
Factor q + 0 - 1/2*q**2.
-q*(q - 2)/2
Let l = 12 - 17. Let r(g) = -g**2 + 2*g. Let z(f) = 3*f**2 - 4*f. Let u(y) = l*r(y) - 2*z(y). Factor u(t).
-t*(t + 2)
Let i be 239/(-60) - (-12)/3. Let q(w) be the second derivative of 0 + 0*w**3 - 1/24*w**4 + 0*w**5 + w + i*w**6 + 0*w**2. Solve q(j) = 0.
-1, 0, 1
Let m = -128 - -63. Let v be (-1)/(m/15 - -4). Suppose -1/4*j**v - 1/2 + 3/4*j + 0*j**2 = 0. What is j?
-2, 1
Let p(v) be the first derivative of v**6/8 + 3*v**5/20 - 3*v**4/8 - v**3/2 + 3*v**2/8 + 3*v/4 + 6. Factor p(f).
3*(f - 1)**2*(f + 1)**3/4
Let p be (0/1)/(-3 - -1). Suppose p*y = -5*y + 10. Find t such that 19*t**2 + 0 - 8*t - t**y - 8 + 18*t**3 = 0.
-1, -2/3, 2/3
Find l such that 14/11*l**4 + 16/11*l + 0 - 52/11*l**3 + 40/11*l**2 = 0.
-2/7, 0, 2
Let d(b) = -6*b**2 + 20*b + 13. Let v(o) = 6*o**2 - 20*o - 14. Let a(n) = -2*d(n) - 3*v(n). Find g such that a(g) = 0.
-2/3, 4
Let r be (2 + -1)/(2/4). Let -4*v**4 + v**2 - 2 + v**2 + 14*v + v**r + 8*v**3 - 19*v = 0. Calculate v.
-1/2, 1, 2
Factor -6/13*u + 4/13 + 2/13*u**2.
2*(u - 2)*(u - 1)/13
Factor 3/4*o**3 + 6*o - 3 - 15/4*o**2.
3*(o - 2)**2*(o - 1)/4
Let f(h) = -h**2 + 8*h - 9. Let d be f(6). Factor 2*t - 7*t**d + 3*t**3 + 4*t**3 + 2*t**3 + 4*t**2.
2*t*(t + 1)**2
Let f(u) be the second derivative of -u**5/80 + 3*u**4/16 - 9*u**3/8 + 27*u**2/8 - 9*u. Factor f(r).
-(r - 3)**3/4
Let o(f) be the second derivative of f**7/14 + f**6/5 - f**4/2 - f**3/2 - 6*f. Determine z so that o(z) = 0.
-1, 0, 1
Let d(q) be the first derivative of -q**5/2 + 45*q**4/16 - 5*q**3 + 5*q**2/2 - 34. Find p such that d(p) = 0.
0, 1/2, 2
Let p(x) be the second derivative of 3*x**5/10 + x**4/3 - 2*x. Determine j, given that p(j) = 0.
-2/3, 0
Suppose 0*b + 6 = 3*b. Factor -5*r**b + 10*r**2 - 8*r**2.
-3*r**2
Let l(p) be the third derivative of p**8/168 + 2*p**7/105 - p**5/15 - p**4/12 + 8*p**2. What is o in l(o) = 0?
-1, 0, 1
Let q(a) be the first derivative of a**3/7 - 3*a/7 - 1. Find o, given that q(o) = 0.
-1, 1
Let l(u) be the first derivative of u**4/14 - 2*u**3/21 - u**2/7 + 2*u/7 - 1. Determine o, given that l(o) = 0.
-1, 1
Let a(r) be the first derivative of 0*r + 0*r**2 + 1 + 1/3*r**3 + 1/1080*r**6 + 0*r**5 + 0*r**4. Let p(h) be the third derivative of a(h). Factor p(l).
l**2/3
Suppose -5*a + 5 = 0, 8*p - 4*a + 14 = 13*p. Factor 0*q**p - 2/5*q**4 - 4/5*q**3 + 0 + 0*q.
-2*q**3*(q + 2)/5
Let x(z) be the second derivative of z**6/6 + 5*z**5/4 + 15*z**4/4 + 35*z**3/6 + 5*z**2 + 17*z. Find t such that x(t) = 0.
-2, -1
Let d(y) be the first derivative of -4/9*y + 4 - 7/9*y**2 + 2/3*y**3. Factor d(f).
2*(f - 1)*(9*f + 2)/9
Let i = -2321/12 - -196. Let x = -7/3 + i. Let 1/4*f**4 + 1/4 + 1/4*f - 1/2*f**2 + x*f**5 - 1/2*f**3 = 0. What is f?
-1, 1
Let q be (-8)/14*(-49)/14. Suppose -4/7*p + 0 + 2/7*p**q = 0. What is p?
0, 2
Find j such that 116 + j**3 - 116 = 0.
0
Let q(o) be the second derivative of -o**6/80 + 9*o**5/160 - o**4/16 - 11*o. Find p, given that q(p) = 0.
0, 1, 2
Let w(c) = 4*c**4 + 59*c**3 + 193*c**2 + 3*c. Let h(p) = -4*p**4 - 58*p**3 - 194*p**2 - 2*p. Let m(k) = 3*h(k) + 2*w(k). Factor m(n).
-4*n**2*(n + 7)**2
Let x(l) = 9*l**3 + 3*l**2 + 3*l - 15. Let j(v) = 17*v**3 + 7*v**2 + 5*v - 29. Let t(q) = -6*j(q) + 11*x(q). Factor t(u).
-3*(u - 1)*(u + 1)*(u + 3)
Let f be (-1 + 0)/(-21 - -19). Factor 1/2*b**3 + 0*b**2 - 1/4 + 1/4*b**4 - f*b.
(b - 1)*(b + 1)**3