) = 0.
-1, 0
Let l = 17 - -1. Suppose 5*n + 3 = l. Factor -2/7*k**4 + 0*k**n + 2/7*k**5 + 0*k + 0*k**2 + 0.
2*k**4*(k - 1)/7
Let n(a) = 7*a**2 + 7*a + 5. Let t(k) = 4*k**2 + 3*k + 2. Let j(h) = -6*n(h) + 10*t(h). Factor j(x).
-2*(x + 1)*(x + 5)
Let p(b) be the first derivative of b**8/5040 + b**7/1260 - b**6/1080 - b**5/180 + 2*b**3/3 - 3. Let j(r) be the third derivative of p(r). Factor j(o).
o*(o - 1)*(o + 1)*(o + 2)/3
Let j(q) be the second derivative of -21*q**5/40 + 5*q**4/8 + 4*q**3 + 3*q**2 - 6*q. Let j(v) = 0. What is v?
-1, -2/7, 2
Let b(k) = 1. Let d(p) = 3*p**5 + p**4 - 9*p**3 + 3*p**2 + 2*p + 5. Let u(r) = 10*b(r) - 2*d(r). Solve u(n) = 0 for n.
-2, -1/3, 0, 1
Let b(d) = 3*d - 22. Let f be b(8). Let s be (-2 - (4 - f)) + 7. Let 9/4*z**s - 5/4*z**4 + 0 + 1/2*z - 7/4*z**2 + 1/4*z**5 = 0. Calculate z.
0, 1, 2
Suppose -7*c = -3*c. Suppose y + 4*y - 30 = c. Let t(g) = -2*g**2 + 2*g - 2. Let v(i) = -4*i**2 + 4*i - 3. Let j(w) = y*v(w) - 11*t(w). Solve j(q) = 0.
-1, 2
Let l(j) be the first derivative of -2*j**3/9 - 5. Factor l(n).
-2*n**2/3
Let i be 2 + 39/12 + -5. Suppose i*o + 1/2 - o**2 - 3/4*o**3 = 0. What is o?
-1, 2/3
Let d(b) be the second derivative of -1/18*b**4 + 4*b + 0 + 0*b**2 + 2/9*b**3. Determine r, given that d(r) = 0.
0, 2
Let i(h) be the first derivative of 2*h - 4 + 2/27*h**3 - 2/3*h**2. Factor i(y).
2*(y - 3)**2/9
Let j be 1*-1 - 8/(336/(-54)). Solve 0 - j*w - 2/7*w**2 + 2/7*w**3 + 2/7*w**4 = 0 for w.
-1, 0, 1
Let m(y) be the third derivative of -y**6/300 - y**5/150 - 14*y**2. Factor m(x).
-2*x**2*(x + 1)/5
Solve -10/3*g**4 - 10/3*g - 2/3 - 2/3*g**5 - 20/3*g**3 - 20/3*g**2 = 0.
-1
Factor 1/5 - 2/5*v**3 - 1/5*v**4 + 0*v**2 + 2/5*v.
-(v - 1)*(v + 1)**3/5
Let y(k) = -k + 4. Let q be y(2). Solve -1/2 - 1/2*i**q + i = 0 for i.
1
Let t(c) = -25*c**3 - 11*c**2 + 15*c - 5. Let m be 6*3*(-6)/(-4). Let k(b) = 324*b**3 + 144*b**2 - 195*b + 66. Let y(a) = m*t(a) + 2*k(a). Factor y(p).
-3*(p + 1)*(3*p - 1)**2
Let l be 1 + -3 + 2 + 2. Factor -d**2 - d**3 - d**l - d + 0*d**3.
-d*(d + 1)**2
Let m(w) be the third derivative of -w**5/60 - w**4/6 + 5*w**3/6 + 5*w**2. Let t(n) = 3 - 4 + 0 + n. Let a(s) = m(s) + 4*t(s). Factor a(k).
-(k - 1)*(k + 1)
Suppose 7*t = 12*t. Factor t*j + 3*j**3 + j**3 + 13*j**2 + 4*j - 5*j**2.
4*j*(j + 1)**2
Let l be -6*(-9)/42 + (0 - 1). Factor -2/7 - l*v**2 - 4/7*v.
-2*(v + 1)**2/7
Let t = 2486/5 - 497. Factor t*d**2 + 0*d - 1/5.
(d - 1)*(d + 1)/5
Let u(v) = -11*v**5 - 5*v**4 + 6*v**3 - 2*v + 2. Let t(d) = 45*d**5 + 21*d**4 - 24*d**3 + 9*d - 9. Let m(b) = -2*t(b) - 9*u(b). Factor m(g).
3*g**3*(g + 1)*(3*g - 2)
Suppose 0 = -2*x + 5*k + 2, 3*k + 10 = -3*x + 4*k. Let g be 4/6 + (-4 - x). Suppose 0*j + g*j**2 + 0 = 0. Calculate j.
0
Factor 20*z + 21*z**2 - 16*z**2 - 9*z**2.
-4*z*(z - 5)
Let z = -3519/20 - -176. Let n(g) be the third derivative of -1/105*g**7 - 2*g**2 + 1/6*g**3 + 1/24*g**6 - z*g**5 - 1/24*g**4 + 0 + 0*g. What is c in n(c) = 0?
-1/2, 1
Let w(j) be the first derivative of -2/3*j - 2/9*j**3 + 2/3*j**2 - 7. Factor w(n).
-2*(n - 1)**2/3
Solve -1/8*a**4 - 1/4 + 3/8*a**2 + 1/8*a - 1/8*a**3 = 0 for a.
-2, -1, 1
Suppose -2*t = -3*t + 3. Let h be t*4/(1 - -3). Factor -44/5*l**2 + 16/5*l - 18/5*l**4 + 48/5*l**h - 2/5.
-2*(l - 1)**2*(3*l - 1)**2/5
Let p(b) be the first derivative of b**3/3 + b**2/2 + 4*b + 3. Let k be (22/5)/((-3)/15). Let i(l) = 6*l**2 + 5*l + 21. Let n(z) = k*p(z) + 4*i(z). Factor n(r).
2*(r - 2)*(r + 1)
Let w(u) = u - 2. Let x be 30/7 + (-4)/14. Let l be w(x). Determine f so that 9*f + f + 49*f**4 + 32*f**l + 77*f**3 - 6*f = 0.
-1, -2/7, 0
Let d(l) be the first derivative of 1/8*l**2 + 1 + 1/12*l**3 + 0*l. Find s such that d(s) = 0.
-1, 0
Suppose -3*s - 3 = -4*f + f, -s = 5*f + 1. Find r such that -3/4*r**4 + 0*r**3 + 0 + f*r + 0*r**2 = 0.
0
Let y be (-3 + 3)/(3 + -1). Let s(f) be the third derivative of f**2 + 0*f**4 + 0*f**3 + y*f**5 - 1/210*f**7 - 1/240*f**6 + 0 - 1/672*f**8 + 0*f. Factor s(h).
-h**3*(h + 1)**2/2
Let q(g) be the second derivative of 0*g**2 + 1/45*g**6 + 0 + 5/189*g**7 + 2/27*g**3 - 3*g - 1/18*g**4 - 7/90*g**5. Find p such that q(p) = 0.
-1, 0, 2/5, 1
Find i, given that 6/5*i**3 - 2/5*i**5 + 0*i**4 + 0*i + 0 - 4/5*i**2 = 0.
-2, 0, 1
Suppose 0 = 5*f - q - 7, 0 = 2*f + 3*q - 10 - 3. Let i(u) be the first derivative of 0*u**f + 0*u**4 + 2/45*u**5 - 2 + 0*u + 0*u**3 + 1/27*u**6. Solve i(m) = 0.
-1, 0
Factor 0*u + 0 - 1/2*u**4 + 1/6*u**2 + 1/3*u**3.
-u**2*(u - 1)*(3*u + 1)/6
Let u(v) be the first derivative of -1/3*v**3 - 2*v + 2 + 1/10*v**5 - v**2 + 1/6*v**4. Let o(g) be the first derivative of u(g). Find r such that o(r) = 0.
-1, 1
Let b(m) be the third derivative of m**8/2240 + m**7/420 + m**6/240 - m**4/8 - 3*m**2. Let x(q) be the second derivative of b(q). Factor x(s).
3*s*(s + 1)**2
Let d(i) be the second derivative of 3*i**5/4 - 35*i**4/6 + 50*i**3/3 - 20*i**2 + 19*i. Factor d(o).
5*(o - 2)**2*(3*o - 2)
Let w(r) be the third derivative of r**9/30240 + r**8/5040 - r**7/2520 - r**6/180 - r**5/30 + 3*r**2. Let y(h) be the third derivative of w(h). Factor y(g).
2*(g - 1)*(g + 1)*(g + 2)
Let -15*d**4 + 32*d**3 - 9*d**2 - 53*d**3 + 0*d**5 - 3*d**5 = 0. What is d?
-3, -1, 0
Suppose 5*k - 30 = -0*k. Suppose 6*g**2 - k*g**5 + 0*g**4 + 3*g**5 + 4*g - g - 6*g**4 = 0. Calculate g.
-1, 0, 1
Solve -20*p**4 - 6*p**2 + 15*p**4 - 11*p**4 + 3*p**5 + 23*p**3 = 0.
0, 1/3, 2, 3
Let p(w) be the first derivative of -34*w**3/39 + 19*w**2/13 - 4*w/13 - 10. Factor p(r).
-2*(r - 1)*(17*r - 2)/13
Factor -4/3*v - 2/3*v**2 + 0.
-2*v*(v + 2)/3
Let i = 21 + -21. Let r(b) be the first derivative of -b**2 + 5/2*b**4 - 2/3*b**3 - 2 + i*b - 6/5*b**5. Find m such that r(m) = 0.
-1/3, 0, 1
Let p be ((-6)/9)/((-1)/3). Suppose p = -4*o + 5*o. Let -2*z**4 + z + 6*z**3 - 6*z**o - 4*z + 5*z = 0. What is z?
0, 1
Let q(t) = -6*t**2 - 2*t. Suppose 3*d + n = 2 + 14, 3*n = 3*d. Let f(c) = -7*c**2 + d*c + 8*c**2 + 6*c**2 + 6*c**2. Let m(s) = -4*f(s) - 9*q(s). Factor m(z).
2*z*(z + 1)
Let i = -1091 - -1094. Find x such that -3/2*x**2 + 1/2*x**4 + 2 + 2*x - x**i = 0.
-1, 2
Suppose 0 = -11*l + 6*l. Factor -10*s**3 + l*s - 64*s**2 + 162*s**4 - 10*s - 80*s**3 + 2*s.
2*s*(s - 1)*(9*s + 2)**2
Suppose 2*m = -2*t + 24, 4*m + 12 = t - 10. Let k be t/20 - 3/6. Solve 2/5*s + k*s**2 + 0 = 0.
-2, 0
Let n be ((-1)/4)/(6 + (-185)/30). Let t(u) be the first derivative of 6*u + 1 - n*u**2 - u**3. Factor t(l).
-3*(l - 1)*(l + 2)
Let b = -382/5 + 9169/120. Let s(g) be the second derivative of -1/2*g**3 + 0 - 1/2*g**2 - b*g**6 - 3/40*g**5 - 13/48*g**4 - g. Factor s(k).
-(k + 1)**2*(k + 2)**2/4
Let y(j) be the first derivative of -j**6/3 - 16*j**5/5 - 11*j**4 - 56*j**3/3 - 17*j**2 - 8*j + 65. Factor y(q).
-2*(q + 1)**4*(q + 4)
Suppose 3*l + 5 = 14. Find r, given that 9*r**4 - 6*r**3 - 3*r**5 + 0*r**3 + 3*r**2 - 3*r**l = 0.
0, 1
Let q(b) be the first derivative of -b**5/10 - 3*b**4/4 - 3*b**3/2 + 5. Factor q(n).
-n**2*(n + 3)**2/2
Let r = 17/36 + 1/36. Let h = -163 - -166. Factor 0*x**2 + 0 - r*x + 1/2*x**h.
x*(x - 1)*(x + 1)/2
Let p be (4/(-90))/(4/(-20)). Solve -4/9*h**3 + 2/9*h**5 + 4/9*h**2 + p*h - 2/9 - 2/9*h**4 = 0 for h.
-1, 1
Suppose 0 = -10*y - 2*y + 48. Factor -1/4*l**5 - y*l + 25/4*l**2 + 7/4*l**4 - 19/4*l**3 + 1.
-(l - 2)**2*(l - 1)**3/4
Factor 0*l**2 - 6*l**2 - 2*l - 3*l**2.
-l*(9*l + 2)
Let v = -244 + 248. Factor -4/7*p**v + 2/7 - 6/7*p**2 - 10/7*p**3 + 2/7*p.
-2*(p + 1)**3*(2*p - 1)/7
Let r(j) be the first derivative of -3*j**5/20 + 3*j**4/8 + j**3 - 3*j**2 + 12. Solve r(y) = 0 for y.
-2, 0, 2
Let i(y) be the second derivative of 2/3*y**3 - 4*y + 3/10*y**5 + 0 + 0*y**2 + 7/6*y**4. Factor i(n).
2*n*(n + 2)*(3*n + 1)
Solve -7*r**2 + r**2 - 3*r**5 + 3 + 6*r**3 + r**4 + 2*r**4 - 2*r - r = 0.
-1, 1
Let p(l) be the first derivative of l**2 - 2*l + 2/3*l**3 - 4 - 1/2*l**4. Factor p(x).
-2*(x - 1)**2*(x + 1)
Let d = 1/15 + 13/30. Let c be 1/4 + 5/(-20). Factor -d*p**3 + c*p**2 + 0 + 1/2*p.
-p*(p - 1)*(p + 1)/2
Suppose -q = q + 2*q, 3*p - 2*q = 0. Factor 0*h + 6/5*h**2 + p + 3/5*h**3.
3*h**2*(h + 2)/5
Solve -24*o**2 - 3*o**4 - 10*o + 92*o**3 - 107*o**3 - 2*o = 0.
-2, -1, 0
Find t such that 4/5*t**2 - 4/5*t**5 + 0 - 4/5*t**4 - 8/5*t + 12/5*t**3 = 0.
-2, -1, 0, 1
Let q(y) be the second derivative of -y**7/168 + y**6/60 - y**4/24 +