48*(-6)/(-4). Suppose 3*b - 12 = -3*q, -2*b + 12 = 2*q + 2*b. Factor 3/2*f**q + f**3 + p*f**4 + 1/4 + f.
(f + 1)**4/4
Let k = 19 - 55/3. Factor k*q**3 - 2/3*q**2 + 0 - 4/3*q.
2*q*(q - 2)*(q + 1)/3
Let d(q) = 2*q**5 + 20*q**4 + 23*q**3 + 3*q**2 + 3. Let j(y) = 3*y**5 + 20*y**4 + 22*y**3 + 2*y**2 + 2. Let t(c) = 2*d(c) - 3*j(c). Let t(x) = 0. Calculate x.
-2, 0
Let y = -539/2 + 270. Let y*q**3 - 3/2*q**2 + q + 0 = 0. What is q?
0, 1, 2
Let k(i) = -i**3 + 5*i**2 + 7*i - 6. Let x be k(6). Factor -6/5*f**4 - 2/5*f + x + 2*f**3 - 2/5*f**2.
-2*f*(f - 1)**2*(3*f + 1)/5
Let r = 84 + -81. Factor -16/9*d + 0 + 14/9*d**4 - 20/3*d**r + 8*d**2.
2*d*(d - 2)**2*(7*d - 2)/9
Let r(i) = 5*i - 3. Let o be r(1). Let 0*y + 1/4*y**o + 0 - 1/4*y**4 + 1/4*y**5 - 1/4*y**3 = 0. What is y?
-1, 0, 1
Determine d, given that 2/7*d - 4/7 + 2/7*d**2 = 0.
-2, 1
Suppose 0 = 4*o - 16, -o + 2*o = -3*t + 4. Let m(s) be the third derivative of -3*s**2 - 1/20*s**5 + 0*s**3 + t + 1/12*s**4 + 1/120*s**6 + 0*s. Factor m(l).
l*(l - 2)*(l - 1)
Suppose -18 + 6 = 4*l. Let n be l/(-2) + (-69)/54. Determine r so that 0 - 2/9*r**3 + n*r**2 - 2/9*r**4 + 2/9*r = 0.
-1, 0, 1
Suppose -d + 1 = -5*w, -3*d + 7 = -2*d + w. Let x(f) = -4*f**2 + f + 14. Let s(h) = 5*h**2 - 15. Let b(j) = d*x(j) + 5*s(j). Factor b(o).
(o + 3)**2
Let n = -8 + 8. Let f be 0 - n - (-4)/14. Determine p, given that 0 - f*p**2 - 2/7*p = 0.
-1, 0
Factor 0*c + 0*c**2 - 2/15*c**3 + 0.
-2*c**3/15
Let a(g) be the first derivative of -4/5*g - 4/5*g**2 - 4/15*g**3 + 5. Find v, given that a(v) = 0.
-1
Suppose -3*u = -8*u + 40. Let a be (0 - 0)*4/u. Determine g so that a - 1/2*g**3 + 3/2*g**2 - g = 0.
0, 1, 2
Let f(r) be the third derivative of -r**7/42 + r**6/24 + r**5/4 - 5*r**4/24 - 5*r**3/3 - 24*r**2. Let f(o) = 0. What is o?
-1, 1, 2
Let l(h) be the first derivative of h**3 + 9. Let l(i) = 0. What is i?
0
Let i(m) be the first derivative of -m**6/18 + m**5/15 + m**4/12 - m**3/9 + 2. Factor i(d).
-d**2*(d - 1)**2*(d + 1)/3
Factor 10*j**5 + 0*j**3 + j**3 + j**3 - 12*j**5.
-2*j**3*(j - 1)*(j + 1)
Let n(m) be the second derivative of 2*m + 0 - 1/18*m**4 - 2/9*m**3 + 0*m**2 + 4/15*m**5 - 1/9*m**6. Let n(j) = 0. What is j?
-2/5, 0, 1
Let j be (6/(-9))/((-1)/6). Suppose 5*k + 6 = j*k - 3*r, 24 = 3*k - 5*r. Solve 1/5 - 9/5*y**2 - 4/5*y**4 - 1/5*y - 11/5*y**k = 0.
-1, 1/4
Let v be 61/9 + 8/36. Let n(m) = -m**3 + 8*m**2 - 6*m - 3. Let l be n(v). Find r, given that 9*r - 4 + l*r + 40*r**4 - 26*r**3 + 13*r - 36*r**2 = 0.
-1, 1/4, 2/5, 1
Let b(c) be the third derivative of -c**6/30 - 7*c**5/60 + c**4/12 - 10*c**2. Factor b(f).
-f*(f + 2)*(4*f - 1)
Let j(h) = -2*h**4 - 4*h**3 - 2*h**2 + 4*h - 4. Let b(x) = x**2 + 1. Let k(v) = -4*b(v) - j(v). Factor k(y).
2*y*(y - 1)*(y + 1)*(y + 2)
Let h be -3*(40/(-6) + 5 + 1). Determine c, given that -2/7*c - 4/7 + 2/7*c**h = 0.
-1, 2
Let u(n) be the first derivative of 17/4*n**4 + 2*n + n**5 - 2 + 7*n**3 + 11/2*n**2. Determine x, given that u(x) = 0.
-1, -2/5
Let n(s) be the second derivative of -2*s**5/85 - s**4/34 + s**3/51 - 11*s. Solve n(x) = 0.
-1, 0, 1/4
Let a = -29 + 29. Solve a + 0*n + 2/5*n**3 + 2/5*n**4 + 0*n**2 = 0.
-1, 0
Let u = -1 - -7. Let o = -4 + u. Suppose -3 + o - 2*m**2 + 2 - m = 0. Calculate m.
-1, 1/2
Let h(m) be the second derivative of 0*m**3 + 3/20*m**5 + 1/42*m**7 + 0*m**2 + 5*m - 1/12*m**4 + 0 - 1/10*m**6. Solve h(d) = 0.
0, 1
Let k be (-273)/(-117) - 52/30. Determine v, given that -k*v - 3/5*v**3 + 6/5*v**2 + 0 = 0.
0, 1
Let x = -109 - -225/2. Let i(r) be the first derivative of x*r**4 + 0*r - 3 + 4*r**2 + 32/3*r**3. Factor i(q).
2*q*(q + 2)*(7*q + 2)
Suppose 3*i + 2*f = 22, 2*f - 2 + 12 = 5*i. Let u(p) be the second derivative of 4*p + 0 - 1/12*p**i + 1/3*p**3 + 0*p**2. Factor u(x).
-x*(x - 2)
Let p be (-6)/(-4) - 19/(-38). Let 0 - 7/2*z**p + z = 0. Calculate z.
0, 2/7
Find p such that 1/3*p**5 + 1/3*p - p**4 + 2*p**2 - 1 - 2/3*p**3 = 0.
-1, 1, 3
Let l(t) be the third derivative of t**9/68040 + t**8/30240 - t**7/11340 - t**6/3240 - t**4/6 - 2*t**2. Let v(z) be the second derivative of l(z). Factor v(n).
2*n*(n - 1)*(n + 1)**2/9
Let g(a) be the second derivative of a**4/54 - a**3/27 + 7*a. Factor g(w).
2*w*(w - 1)/9
What is y in -y - 3*y**2 - 2*y**4 - 5*y + 5*y**4 + 2*y**3 + 4*y = 0?
-1, -2/3, 0, 1
Factor 5/2*s**2 - 25/6 - 35/3*s.
5*(s - 5)*(3*s + 1)/6
Suppose -12*r - 1 = -1. Let p(x) be the second derivative of -1/24*x**4 - 1/4*x**3 + 2*x + r - 1/2*x**2. Solve p(w) = 0 for w.
-2, -1
Let p(j) = -j**3 - j**2 + j. Let d(t) = 15*t**3 + 8*t**2 - 6*t. Let s(w) = -d(w) - 6*p(w). Determine h, given that s(h) = 0.
-2/9, 0
Determine j so that -3/5*j + 1/10*j**2 + 9/10 = 0.
3
Let l = 608/1287 - 4/143. Let q(x) be the first derivative of -l*x + 2/27*x**3 + 1/9*x**2 + 1. Determine n so that q(n) = 0.
-2, 1
Let j = -869 - -5215/6. Solve j + 5/3*n**2 + 5/6*n + 1/6*n**5 + 5/6*n**4 + 5/3*n**3 = 0.
-1
Let u = -2509 + 82789/33. Let l = 1/11 - u. Factor 0 + l*v**2 + 0*v.
v**2/3
Let r = -5 + 8. Let f(y) be the first derivative of -1 - 1/3*y + 1/3*y**r + 1/3*y**2. Let f(t) = 0. Calculate t.
-1, 1/3
Factor -2/15*l**2 - 2/5*l**3 - 2/15*l**5 + 0 + 0*l - 2/5*l**4.
-2*l**2*(l + 1)**3/15
Let c be 1/3 + (-5)/(-3). Factor -2*x - c*x**3 + 12 + 4*x**2 - 12.
-2*x*(x - 1)**2
Let m(s) be the third derivative of s**4/24 + 3*s**3/2 + s**2. Let h be m(-5). Find i, given that 1/2*i**h - 1/2*i**5 + 0 + 0*i**2 + 0*i + i**3 = 0.
-1, 0, 2
Let f(h) be the third derivative of h**7/105 - h**5/10 - h**4/6 - 42*h**2. Find i such that f(i) = 0.
-1, 0, 2
Let g(z) = 2*z**4 + 7*z**3 + 5*z**2 - 3*z. Let c(b) = -7*b**4 - 22*b**3 - 15*b**2 + 8*b. Let o(f) = -3*c(f) - 8*g(f). Suppose o(p) = 0. Calculate p.
-1, 0
Let h be 26/195*(-1 + 6). Let t(j) be the first derivative of h*j + 2/3*j**3 + 1/6*j**4 - 1 + j**2. Factor t(i).
2*(i + 1)**3/3
Let m = -96 - -100. Factor p**m - 10/3*p**3 - 2*p + 1/3 + 4*p**2.
(p - 1)**3*(3*p - 1)/3
Let s(i) be the third derivative of i**8/1680 - i**6/600 - 19*i**2. Factor s(n).
n**3*(n - 1)*(n + 1)/5
Let c(f) be the first derivative of f**7/21 + f**6/5 + f**5/5 - 3*f - 6. Let u(l) be the first derivative of c(l). Determine x, given that u(x) = 0.
-2, -1, 0
Let c = 62/5 - 243/20. Factor 1/4*w**3 + c*w - 1/2*w**2 + 0.
w*(w - 1)**2/4
Let w(v) = -15*v**2 - 17*v + 13. Let t(c) = -4*c**2 + 6 + 0*c**2 - 3*c**2 - 7*c - c. Let g(r) = 13*t(r) - 6*w(r). What is z in g(z) = 0?
-2, 0
Let f(i) be the first derivative of i**8/210 + i**7/210 - 7*i**6/720 + i**5/240 - 5*i**3/3 - 5. Let j(z) be the third derivative of f(z). Factor j(v).
v*(v + 1)*(4*v - 1)**2/2
Let i(k) = 15*k**4 + 70*k**3 + 90*k**2 + 60*k + 15. Let g(h) = 5*h**4 + 23*h**3 + 30*h**2 + 20*h + 5. Let l(t) = -10*g(t) + 3*i(t). Solve l(n) = 0.
-1
Suppose 0 = 3*g + 3*g - 0*g. Let x(f) be the third derivative of -2*f**2 + 0*f + 0 + g*f**3 + 0*f**5 + 1/240*f**6 + 0*f**4. Let x(p) = 0. What is p?
0
Let x(p) = p**3 + 10*p**2 + p + 12. Let t be x(-10). Suppose -4 = -2*v + t*s, 4*s - 4 = -2*v - s. Factor 2/5*i**v + 2/5*i - 4/5.
2*(i - 1)*(i + 2)/5
Let l = -32 - -33. Factor o**3 - o - 1/4*o**4 - 3/4*o**2 + l.
-(o - 2)**2*(o - 1)*(o + 1)/4
Suppose 5 = 2*c - 11. Suppose c = 5*g - 3*g. Factor -2*z - 3*z**2 + g*z + 5*z**2 - 2 - 2*z**3.
-2*(z - 1)**2*(z + 1)
Let f(x) be the first derivative of -x**5/11 - x**4/4 - 2*x**3/33 + 2. Factor f(a).
-a**2*(a + 2)*(5*a + 1)/11
Let f(v) = 2*v**3 - 3*v**2 + 5*v + 5. Let q be f(-4). Let s = q - -1339/7. Solve -2/7*r**5 - 4/7*r**2 + 4/7*r**3 + 2/7 - 2/7*r + s*r**4 = 0 for r.
-1, 1
Let o be ((-1)/(-15))/((-60)/9 - -7). Let x(f) be the first derivative of 0*f - 1 + o*f**5 - 1/3*f**3 + 0*f**4 + 0*f**2. Factor x(d).
d**2*(d - 1)*(d + 1)
Let t(g) be the first derivative of 1 + 4/7*g - 2/21*g**3 + 1/7*g**2. Factor t(n).
-2*(n - 2)*(n + 1)/7
Let m(x) = x**5 - 15*x**4 - 21*x**3 - 5*x**2 + 3. Let q(a) = -4*a**5 + 46*a**4 + 64*a**3 + 14*a**2 - 10. Let k(u) = 10*m(u) + 3*q(u). Factor k(z).
-2*z**2*(z + 1)**2*(z + 4)
Solve -3/4*o + 3/4*o**4 + 3/4*o**3 - 9/4*o**2 + 3/2 = 0.
-2, -1, 1
Let g(t) be the first derivative of 0*t - 1/3*t**2 - 2/9*t**3 + 2/15*t**5 + 1/6*t**4 - 4. Find b such that g(b) = 0.
-1, 0, 1
Let h(f) be the first derivative of -2/9*f**3 - 1/5*f**5 + 0*f + 0*f**2 + 5/12*f**4 + 3. Let h(v) = 0. Calculate v.
0, 2/3, 1
Let b(d) be the