4/24 + d**3/12 - d**2/2 - 11*d. Factor a(j).
(j - 1)*(j + 2)/2
Suppose 4*i = i + 6. Suppose 0*u + 3 = -3*u - 3*p, -2*u + i = p. Factor 2*r + 3*r**2 - 2 - r**u - r**3 + 0*r - r**2.
-2*(r - 1)**2*(r + 1)
Factor 1/4*u**4 + 0*u**2 + 0 + 0*u + 1/2*u**3.
u**3*(u + 2)/4
Let c(m) = -110*m**2 - 760*m - 515. Let g(r) = 10*r**2 + 69*r + 47. Let a(y) = 6*c(y) + 65*g(y). Find t such that a(t) = 0.
-7, -1/2
What is f in 1/2*f**3 - 1 + f**2 - 1/2*f = 0?
-2, -1, 1
Suppose 18*w = 9*w + 18. Factor 6/7 + 15/7*t - 54/7*t**w.
-3*(2*t - 1)*(9*t + 2)/7
Let j(r) be the third derivative of r**8/448 + r**7/70 + r**6/32 + r**5/40 - 4*r**2. Determine u, given that j(u) = 0.
-2, -1, 0
Let u(i) be the first derivative of -i**2 + 1/12*i**5 + 0*i + 1 + 2/3*i**3 - 1/2*i**4. Let v(n) be the second derivative of u(n). Factor v(f).
(f - 2)*(5*f - 2)
Let y(o) be the third derivative of -o**8/13440 + o**7/1680 - o**6/720 - o**4/12 + 7*o**2. Let i(p) be the second derivative of y(p). Factor i(m).
-m*(m - 2)*(m - 1)/2
Let y be ((-180)/270)/(10/(-4) + 2). Factor y + 2/3*i**2 - 2*i.
2*(i - 2)*(i - 1)/3
Let p be (-225)/(-25) + (-6 - 0). Let v(a) be the first derivative of -2/5*a - 2/15*a**3 - p + 2/5*a**2. Find w, given that v(w) = 0.
1
Suppose -24 = -4*p + j, -24 = -p + 5*j + 1. Let q be 1 - (30/14)/p. Find n such that q*n**2 - 6/7*n**4 + 4/7*n**3 + 2/7*n**5 - 6/7*n + 2/7 = 0.
-1, 1
Factor 18/5*x**3 - 18/5*x + 4/5*x**2 - 4/5.
2*(x - 1)*(x + 1)*(9*x + 2)/5
Suppose 10 = 3*o - n, -5*o - 2*n + 3*n = -14. Suppose -8*x**4 - 2*x**2 + 6*x**3 + 0*x**o + 4*x**4 = 0. What is x?
0, 1/2, 1
What is w in w**3 - 1/2*w**5 + 1 - 1/2*w - 2*w**2 + w**4 = 0?
-1, 1, 2
Let k(l) be the first derivative of 0*l - 1 - 1/6*l**3 - 2/5*l**5 + 1/2*l**4 + 0*l**2. Let k(r) = 0. What is r?
0, 1/2
Let k be (-4)/(-6) + 4521/(-12033). Let j = k + -1/191. Determine z so that -j + 4/7*z - 2/7*z**2 = 0.
1
Let n(l) be the first derivative of 2*l**5/35 + l**4/2 - 16*l**3/21 - 60. Suppose n(t) = 0. What is t?
-8, 0, 1
Let l(y) be the third derivative of -y**6/24 - y**5/3 - 5*y**4/6 - 26*y**2. Factor l(i).
-5*i*(i + 2)**2
Factor 0 + 3/5*s**4 - 6/5*s + 0*s**3 - 9/5*s**2.
3*s*(s - 2)*(s + 1)**2/5
Let u be 1575/(-270) + (-12)/(-2). Solve 0 + 1/6*z**3 + u*z - 1/3*z**2 = 0.
0, 1
Let q = -5 - -9. Factor 4*v + 20*v**2 + 3*v**3 + 2*v**2 + 34*v**q + 10*v**5 + 39*v**3.
2*v*(v + 1)**3*(5*v + 2)
Suppose 2*d = -4*d. Let z(u) be the second derivative of -2/3*u**3 + 1/6*u**4 + u**2 - 3*u + d. Let z(r) = 0. What is r?
1
Let n(i) be the third derivative of 0*i**3 + 0*i + 1/60*i**6 - i**2 + 0 + 1/15*i**5 + 1/12*i**4. What is z in n(z) = 0?
-1, 0
Factor -16/5*q**2 - 8/5*q + 2*q**3 + 0.
2*q*(q - 2)*(5*q + 2)/5
Let a be 6 - (-1 - 322/(-49)). Let -9/7*c**4 - a*c - 3/7*c**2 + 0 + 15/7*c**3 = 0. What is c?
-1/3, 0, 1
Let r(p) = p**2 + p + 1. Let n(i) = i + 4 - 3 - 2*i. Let l be n(-3). Let b(y) = -2*y**2 - 2. Let z(v) = l*r(v) + b(v). Determine a, given that z(a) = 0.
-1
Let o = -3 + 7. Find c, given that 5*c**3 + c**o + 2*c**2 - 2 + c**4 - 11*c**2 - 3*c**4 + 7*c = 0.
1, 2
Let n(f) be the first derivative of f**3 + 7. Factor n(g).
3*g**2
Let w(o) = -10*o**2 + 31*o - 48. Let l(q) = 3*q**2 - 10*q + 16. Let d(y) = -14*l(y) - 4*w(y). Suppose d(c) = 0. Calculate c.
4
Let z = 2/385 + -116/1155. Let c = 3/7 + z. Factor -s**4 - 1/3*s**5 - s**3 + 0 - c*s**2 + 0*s.
-s**2*(s + 1)**3/3
Let a be (0*(-4)/4)/(-2). Let s(o) be the second derivative of 2/21*o**3 + a - 1/42*o**4 + 0*o**2 - 2*o - 2/35*o**5 + 1/35*o**6. Factor s(q).
2*q*(q - 1)**2*(3*q + 2)/7
Let i = 2/7 - 5/42. Let a(y) be the second derivative of 1/5*y**5 + 0*y**2 + 0 + i*y**4 - y - 1/3*y**3. Let a(c) = 0. Calculate c.
-1, 0, 1/2
Let f(v) be the first derivative of -v**6/3 - 4*v**5/5 + 4*v**3/3 + v**2 - 7. Determine u so that f(u) = 0.
-1, 0, 1
Suppose 0 + 1 = r, -5*m - 4*r + 4 = 0. Suppose -6/7*j**3 + 2/7*j**4 + 0 + 8/7*j + m*j**2 = 0. Calculate j.
-1, 0, 2
Let b(j) be the third derivative of j**6/240 + j**5/40 + 11*j**2. Suppose b(y) = 0. Calculate y.
-3, 0
Factor -13/3*d + 4/3*d**4 + 8*d**2 - 17/3*d**3 + 2/3.
(d - 2)*(d - 1)**2*(4*d - 1)/3
Let w(m) be the first derivative of 2*m**5/15 + m**4/3 - 2*m**3/3 - 4*m**2/3 + 8*m/3 + 14. Factor w(p).
2*(p - 1)**2*(p + 2)**2/3
Let n(a) be the second derivative of -a**7/294 - a**6/210 + 6*a. Factor n(j).
-j**4*(j + 1)/7
Factor -1/6*z**2 + 1/3 + 1/6*z.
-(z - 2)*(z + 1)/6
Let i(k) be the first derivative of 2*k**6/3 - 7*k**5/5 - 7*k**4/2 - k**3 - 7. Determine c, given that i(c) = 0.
-1, -1/4, 0, 3
Suppose 5*i**5 - 12 - 10*i**2 + 0*i**5 + 3*i**4 + 17*i**4 + 2 + 20*i**3 - 25*i = 0. What is i?
-2, -1, 1
Factor 5/2*g**3 + 0*g**2 - 5/2*g + 5/4 - 5/4*g**4.
-5*(g - 1)**3*(g + 1)/4
Let k(g) = -17*g**4 - 33*g**3 - 9*g**2 - 9*g. Let b(m) = -4*m**4 - 8*m**3 - 2*m**2 - 2*m. Let v(p) = -9*b(p) + 2*k(p). Factor v(l).
2*l**3*(l + 3)
Let w be (-2)/11 + 167/11. Factor -18 + 3*m**4 - 6*m + 0*m + 0*m**3 + w + 6*m**3.
3*(m - 1)*(m + 1)**3
Let y(x) be the second derivative of 7*x**8/4800 - x**7/450 + x**6/900 - x**4/4 - 3*x. Let a(w) be the third derivative of y(w). Factor a(q).
q*(7*q - 2)**2/5
Let q be 121/(-1320) - 2/(-15). Let u(o) be the second derivative of 0*o**2 + 1/20*o**5 - 2*o - 1/12*o**3 + 0 - q*o**4. What is c in u(c) = 0?
-1/2, 0, 1
Let v = 13 - 13. Suppose b + 4*b - 10 = v. Let -1/2*f**3 + 0*f + 0 - 1/2*f**b = 0. What is f?
-1, 0
Let u(v) = -v**3 + 11*v**2 - 9*v - 8. Let a be u(10). Let o(s) = -s**2 + 5*s - 4. Let k be o(3). Suppose -n + 8 + k*n**a + 9*n + n**2 - n**2 = 0. What is n?
-2
Let s(j) be the first derivative of j**5/45 + j**4/2 + 97*j**3/27 + 8*j**2 + 64*j/9 - 28. Solve s(b) = 0 for b.
-8, -1
Suppose 0*b - 6 = -2*b. Suppose -14 = -5*f + 8*l - 4*l, -f - 5*l = b. Factor 0 - 1/2*p**3 + 0*p**f + 0*p + 0*p**4 + 1/2*p**5.
p**3*(p - 1)*(p + 1)/2
Suppose 45/4*t**3 - 45/4*t - 5/2 - 25/4*t**2 + 35/4*t**4 = 0. What is t?
-1, -2/7, 1
Suppose 0 = 4*m - 3*f - 2*f - 97, 3*m = 2*f + 78. Suppose 2*p + 0*h + 2*h + 4 = 0, p - 5*h = m. Factor -1/3*j**2 + 0 + 0*j + 1/3*j**p.
j**2*(j - 1)/3
Factor 2/7*m + 2/7*m**2 - 2/7*m**3 - 2/7*m**4 + 0.
-2*m*(m - 1)*(m + 1)**2/7
Let o(b) = b**3 + b**2 + 1. Let z(k) = 10*k**3 + 43*k**2 + 18*k + 4. Let c(m) = 4*o(m) - z(m). Factor c(s).
-3*s*(s + 6)*(2*s + 1)
Let o(s) = s + 10. Let h be o(-8). Determine l so that -8 + 2*l**2 - 12*l + l**h + 20 = 0.
2
Let s(c) be the third derivative of c**8/2520 - c**7/1575 - c**6/450 + c**5/225 + c**4/180 - c**3/45 + 16*c**2 - c. Factor s(o).
2*(o - 1)**3*(o + 1)**2/15
Let o be (-4)/((-2)/2) - 0. Let h(p) = -6*p**2 + 4*p - 4. Let z(u) = 4 + 0 + 0 + u**2 - 3. Let d(b) = o*z(b) + h(b). Find x such that d(x) = 0.
0, 2
Let w(s) = s**3 - 9*s**2 + 8*s. Let o be w(8). Suppose o = -p - 0 + 2. Find q such that 10/7*q + 4/7 - 22/7*q**p + 8/7*q**3 = 0.
-1/4, 1, 2
Let y(k) be the second derivative of -5*k**4/12 + 5*k**3/3 - 5*k**2/2 - k - 3. Factor y(n).
-5*(n - 1)**2
Suppose -39 - 6 = -9*p. Let t(i) be the third derivative of -1/24*i**4 + 0*i - 1/30*i**p + 0 - 1/120*i**6 + 2*i**2 + 0*i**3. Suppose t(v) = 0. What is v?
-1, 0
Let l(n) be the first derivative of -2*n**3/9 + 2*n**2/3 - 3. Factor l(j).
-2*j*(j - 2)/3
Factor 3/4 - 3/8*m**2 + 3/8*m.
-3*(m - 2)*(m + 1)/8
Let z(k) be the second derivative of -k**7/252 - k**6/180 + 10*k. What is v in z(v) = 0?
-1, 0
Let g(r) be the second derivative of -r**5/6 - 5*r**4/24 + 5*r**3/4 - 5*r**2/6 - 9*r. Factor g(s).
-5*(s - 1)*(s + 2)*(4*s - 1)/6
Let j(a) = 3*a**3 + 12*a**2 + 5*a + 7. Let v(s) = 3*s**3 + 12*s**2 + 6*s + 6. Let y(f) = -6*j(f) + 7*v(f). Let y(n) = 0. What is n?
-2, 0
Let x be 26/4 - (-3)/(-2). Let v(i) = 2*i**2 + 5*i + 2. Let t(b) = -1. Let z(r) = x*t(r) + v(r). Suppose z(p) = 0. What is p?
-3, 1/2
Let d be ((-24)/(-14))/(2/7). Suppose t = 0, -t + 2 = -2*k + d. Suppose 2/9*b**k + 8/9*b + 8/9 = 0. What is b?
-2
Let g(s) = 2*s**2 + 9*s - 5. Let k be g(-8). Determine r, given that 21*r**3 + 141*r**2 + 35*r - k*r**2 + 73*r + 24 = 0.
-2, -2/7
Suppose 0*r = -10*r + r. Factor -1/2*c**2 + r + 1/2*c.
-c*(c - 1)/2
Find d, given that -3/5*d**2 + 0*d + 3/5 = 0.
-1, 1
Let a(s) = 10*s**5 + 55*s**4 + 90*s**3 - 100*s - 55. Let y(r) = r**5 + 6*r**4 + 10*r**3 - 11*r - 6. Let d(h) = -6*a(h) + 55*y(h). Solve d(i) = 0.
-1, 0, 1
Let i(s) be the third derivative of -7*s**5/32 - s**4/16 