+ 8*q**2 + 16*q + 6. Solve n(z) = 0.
-1, 2
Let a(n) = -6*n - 1. Let b be a(-1). Let d = b + -5. Factor d*j + 2/5 - 2/5*j**2.
-2*(j - 1)*(j + 1)/5
Let v(q) be the third derivative of 1/54*q**4 + 0*q - 4*q**2 + 1/270*q**5 + 1/27*q**3 + 0. Factor v(f).
2*(f + 1)**2/9
Factor 4*n**3 - 5*n + n**3 + 7*n**2 + 9 - 19 + 3*n**2.
5*(n - 1)*(n + 1)*(n + 2)
Solve -14/3*k**4 + 14/3*k**3 - 8/3 - 2*k**5 - 16/3*k + 10*k**2 = 0.
-2, -1/3, 1
Let s(m) be the second derivative of -m**5/20 - 5*m**4/12 - 4*m**3/3 - 2*m**2 - m. Factor s(l).
-(l + 1)*(l + 2)**2
Let i(c) = c**2 - 3*c - 5. Let x be i(5). Suppose 0*d + z = -3*d + x, -d + 4*z = 20. Find h such that 1/4*h + 0*h**2 + d - 1/4*h**3 = 0.
-1, 0, 1
Suppose r - 5*r + g = -12, -2*r + 2*g + 6 = 0. Let z**3 + 0*z**2 - r*z**3 - 2*z**2 + z**3 = 0. What is z?
-2, 0
Let k(a) = -4*a**3 + a - 3. Let i be -2 - 0*(-1)/2. Let l(f) = -3*f**3 + f - 2. Let y(z) = i*k(z) + 3*l(z). Factor y(g).
-g*(g - 1)*(g + 1)
Suppose 2*q - 51 = -47. Solve -2*p**q - 10/9*p - 2/9 - 14/9*p**3 - 4/9*p**4 = 0.
-1, -1/2
Let 1/3*t**2 - 1/3*t + 0 = 0. What is t?
0, 1
Let s(j) be the first derivative of 6/5*j**5 + 3/2*j**2 + 0*j**4 + 5 + 0*j - 2*j**3 - 1/2*j**6. Factor s(o).
-3*o*(o - 1)**3*(o + 1)
Let v(m) = -m**4 + 7*m**3 + 3*m**2 - 5*m - 7. Let q(s) = s**3 - s - 1. Let z(u) = -21*q(u) + 3*v(u). Find p such that z(p) = 0.
-1, 0, 2
Let s(p) = -8*p**2 + 31*p + 32. Let w(d) = -4*d**2 + 15*d + 16. Let m(r) = -3*s(r) + 7*w(r). Let m(i) = 0. Calculate i.
-1, 4
Let r(s) = s**3 + 7*s**2 - 3*s - 5. Let l be r(-7). Suppose 5*k - 2*p - 3 = -1, -l = -4*k - 2*p. Factor 0*u + 0 - 2/9*u**k.
-2*u**2/9
Suppose 0*z - z - m = 3, -5*m - 23 = z. Let q(p) be the third derivative of 0*p - 1/3*p**3 + 5/12*p**4 - 2/15*p**5 - p**z + 0. Factor q(d).
-2*(d - 1)*(4*d - 1)
Suppose 15 = 4*j - 1. Suppose -4*h = -5*l - 18, -3*h + j*l - 9 + 23 = 0. Factor 1/2*g**3 - 1/2*g**5 + 0*g + 1/2*g**4 + 0 - 1/2*g**h.
-g**2*(g - 1)**2*(g + 1)/2
Let y be (2*941/10)/(-1). Let z = 189 + y. Suppose z - 2/5*c**2 + 2/5*c = 0. Calculate c.
-1, 2
Suppose 0 = -5*u - j + 6, u - 2*u + 4*j + 18 = 0. Determine g so that 0*g**u - 6*g**2 - g**4 + 2*g**2 + 4*g**3 = 0.
0, 2
Let o = -48/5 - -10. What is w in 9/5*w**3 - 7/5*w**4 - w**2 + o*w**5 + 1/5*w + 0 = 0?
0, 1/2, 1
Let n(t) be the second derivative of t**8/1680 + t**7/210 + t**6/60 + t**5/30 + t**4/24 + t**3/6 - t. Let q(l) be the second derivative of n(l). Solve q(j) = 0.
-1
Suppose 0*z = -4*z - 12. Let b be -1 + z + 51/12. Factor g + g**2 + b.
(2*g + 1)**2/4
Suppose -4/3*u**2 - 20/3*u - 8 = 0. What is u?
-3, -2
Factor 1/4*n + 1/8*n**2 + 0.
n*(n + 2)/8
Factor 0 - 1/2*x**2 - 1/2*x.
-x*(x + 1)/2
Let t = 17 + -11. Let k(q) be the third derivative of 0 + 0*q + 0*q**5 - 3/8*q**4 + 2*q**2 + q**3 + 1/40*q**t. Determine c so that k(c) = 0.
-2, 1
Let v(w) be the second derivative of -w**10/105840 + w**8/23520 + w**4/3 + 7*w. Let s(a) be the third derivative of v(a). Find r, given that s(r) = 0.
-1, 0, 1
Let c(n) be the second derivative of n**7/168 - n**6/120 - 3*n**5/80 + n**4/48 + n**3/12 + 4*n. Factor c(j).
j*(j - 2)*(j - 1)*(j + 1)**2/4
Let v = 199133/15 - 13269. Factor -8/15*u + 56/15*u**2 + 0 - v*u**3.
-2*u*(7*u - 2)**2/15
Factor 3*q - 3 - 2*q**3 - 3*q**3 + 3*q**2 + 0*q**3 + 2*q**3.
-3*(q - 1)**2*(q + 1)
Let c(x) be the first derivative of -x**4 + 16*x**3/3 - 8*x**2 + 17. Let c(v) = 0. What is v?
0, 2
Suppose -4*c - 8 = -3*t + t, 13 = 5*t - 3*c. Let u**5 + 2*u**3 + t*u**3 - 5*u**3 = 0. What is u?
-1, 0, 1
Let a(b) be the third derivative of -b**8/2352 - b**7/1470 + b**6/420 + 14*b**2. Suppose a(w) = 0. What is w?
-2, 0, 1
Let t = -1788 + 19614/11. Let o = t - -292/55. Factor 2/5 - 4/5*s**3 - o*s**4 + 4/5*s + 0*s**2.
-2*(s - 1)*(s + 1)**3/5
Let h = 5/58 + 41/29. Factor -1 + z**2 - h*z.
(z - 2)*(2*z + 1)/2
Let q(c) = -5*c**4 + 21*c**3 - 8*c**2 - 6*c - 2. Let p(m) = -m - 8*m**2 + 14 + 3*m**3 - 4*m**4 + 19*m**3 - 6*m - 17. Let s(b) = 2*p(b) - 3*q(b). Factor s(g).
g*(g - 2)*(g - 1)*(7*g + 2)
Let n(h) be the third derivative of 1/300*h**6 - 1/150*h**5 - 4*h**2 + 0*h + 0 + 0*h**4 + 0*h**3. Suppose n(w) = 0. What is w?
0, 1
Let 208*j**2 + 22*j**3 - 27*j**3 - 144*j**2 + 4*j**4 - 27*j**3 = 0. What is j?
0, 4
Let k(z) = z**3 + 2*z**2 - z + 2. Let v be k(-2). Suppose -8*b + 19 = -3*b - 3*i, -5*b = 2*i - v. Factor -8 + 4*m - 2*m**b - m + 5*m.
-2*(m - 2)**2
Solve -36*j**2 + 46*j - 96*j - 99*j**4 - 21*j**5 - 138*j**3 + 74*j = 0 for j.
-2, -1, 0, 2/7
Factor -22 - 10*g**2 - 15*g + 18 + g.
-2*(g + 1)*(5*g + 2)
Let w = -908 + 908. Determine n so that -1/9*n**2 + 1/9*n**4 + w + 0*n + 0*n**3 = 0.
-1, 0, 1
Let n be 3 - (4 - -1694)/(-3). Find d such that -4*d**3 - 569*d + n*d + 4*d**2 = 0.
0, 1
Suppose -12 = -5*d - 3*o, -5*d + 3*o + 18 = -0*o. Suppose 3 = d*w - 3. Factor 5 - 4*b**2 - w - b - 3.
-b*(4*b + 1)
Let a = -41 + 43. Let f(r) be the first derivative of 2/35*r**5 + 0*r - 1 - 1/14*r**4 + 0*r**a + 0*r**3. Determine m, given that f(m) = 0.
0, 1
Let x be 6*1/(-6)*-4. Let r(s) be the second derivative of -s + 1/12*s**3 + 0 + 0*s**2 + 0*s**x - 1/40*s**5. Determine t so that r(t) = 0.
-1, 0, 1
Factor -2/7*h**2 + 0 - 2/7*h**4 + 0*h - 4/7*h**3.
-2*h**2*(h + 1)**2/7
Suppose -2*x = -34 - 20. Factor 6*u**3 - x*u**4 + 3*u**4 + 3*u**4.
-3*u**3*(7*u - 2)
Solve -64/5*z - 26/5*z**2 - 32/5 - 3/5*z**3 = 0 for z.
-4, -2/3
Let o(q) be the second derivative of -q**5/100 - q**4/12 - 4*q**3/15 - 2*q**2/5 + 3*q. Determine y, given that o(y) = 0.
-2, -1
Let x(s) be the second derivative of -s**7/1260 - s**4/4 + 2*s. Let u(t) be the third derivative of x(t). Suppose u(v) = 0. What is v?
0
Let t be 6 - ((-150)/(-14) - 7). Factor -t*w - 16/7 - 4/7*w**2.
-4*(w + 2)**2/7
Factor 6*f**2 - 3*f**5 - 4*f**3 - 3*f + f**3 - 3 - 3*f**4 + 9*f**3.
-3*(f - 1)**2*(f + 1)**3
Let q(v) be the third derivative of -v**5/100 - 9*v**4/40 + v**3 + 31*v**2. Find i such that q(i) = 0.
-10, 1
Let x(c) = c**2 - c. Let j = -7 - -11. Let i(p) = -3*p**2 + 6*p - 4. Let u(v) = j*x(v) + 2*i(v). Factor u(z).
-2*(z - 2)**2
Let k(h) be the third derivative of -h**6/60 - h**5/30 + h**4/12 + h**3/3 - 22*h**2. Factor k(u).
-2*(u - 1)*(u + 1)**2
Let s(v) be the first derivative of 0*v**4 + 1/4*v + 0*v**2 - 3 - 1/6*v**3 + 1/20*v**5. Factor s(b).
(b - 1)**2*(b + 1)**2/4
Let l(z) = -3*z**3 + 3*z**2 - z - 1. Let v(a) = -15*a**3 + 14*a**2 - 5*a - 5. Let y(b) = -11*l(b) + 2*v(b). Let y(n) = 0. What is n?
-1/3, 1
Let l(v) = -v**2 + 8*v + 3. Let h be l(8). Factor 2*m + 2*m**4 + 8*m**3 - 2*m**3 + h - 8*m**3 - 6*m**2 + 1.
2*(m - 2)*(m - 1)*(m + 1)**2
Let y be ((-1)/5)/(6/(-5)). Let m(t) be the second derivative of -y*t**4 + 1/15*t**6 + 1/3*t**3 + 0 + 0*t**2 - 1/10*t**5 - 3*t. Factor m(p).
2*p*(p - 1)**2*(p + 1)
Let h = -2 + 5. Suppose -h*d + 2*q + 44 = 0, -q + 2*q - 44 = -4*d. Let 4*t + 3 + 2*t**2 + 5 - d*t = 0. What is t?
2
Let j(s) = -s**2 + 15*s. Let l(i) = i**2 - 7*i. Let a(y) = 4*j(y) + 9*l(y). Solve a(w) = 0 for w.
0, 3/5
Let d = 40/93 - 3/31. Let 3*a**3 + 0 - 4/3*a**4 - 2*a**2 + d*a = 0. Calculate a.
0, 1/4, 1
Let q(c) be the third derivative of -2*c**7/315 - c**6/45 - c**5/45 - 6*c**2. Find v, given that q(v) = 0.
-1, 0
Let 11*m + 4*m**2 - 5*m + 6*m = 0. What is m?
-3, 0
Let p(s) = s**3 - 3*s**2 - 1. Let u be p(3). Let a be u/(-8)*(-702)/(-13). Factor 11/4*v**4 + 31/4*v**3 - 1/2 + 5/4*v + a*v**2.
(v + 1)**3*(11*v - 2)/4
Let m = -3 + -14. Let d = m + 20. Factor 1/2*i**d + 3/2*i - 1/2 - 3/2*i**2.
(i - 1)**3/2
Let j(x) be the first derivative of 0*x**4 - 2 - 1/20*x**5 - x + 0*x**2 + 1/6*x**3. Let o(z) be the first derivative of j(z). Solve o(d) = 0.
-1, 0, 1
Let s(u) be the second derivative of 0 - 1/10*u**3 + 0*u**2 + 1/25*u**6 + 1/70*u**7 + 0*u**5 + 7*u - 1/10*u**4. Find f, given that s(f) = 0.
-1, 0, 1
Factor -1/3*o**4 + 0*o**2 + 1/3 + 2/3*o - 2/3*o**3.
-(o - 1)*(o + 1)**3/3
Let m(u) be the second derivative of u**7/49 + u**6/30 - u**5/140 - u**4/42 - 14*u. Find s such that m(s) = 0.
-1, -2/3, 0, 1/2
Suppose -5 = -4*c + 3. Factor 11*q + q**3 + c*q**2 + 0*q**2 - 11*q.
q**2*(q + 2)
Let b(c) be the second derivative of -14*c**6/5 - 4*c**5 - 4*c**4/3 - 33*c. Solve b(n) = 0 for n.
-2/3, -2/7, 0
Let x(t) be the third derivative of -t**5/15 + t**4/2 - 4*t**3/3 + t**2. Factor x(v).
-4*(v - 2)*(v - 1)
Let q(j) be the first derivative of -3/14*j**2