*4 + 4/9 = 0 for k.
-2, -1, -1/4, 1
Let p be (-30)/(-135)*((-39)/(-12) + -1). Factor 9/4*j**2 + 7/4*j - p.
(j + 1)*(9*j - 2)/4
Let k(i) = i**5 - i**4 - i**3 - i**2. Let x(a) = -13*a**5 + 22*a**4 - 5*a**3 + 8*a**2. Let z(s) = 6*k(s) + x(s). Factor z(f).
-f**2*(f - 1)**2*(7*f - 2)
Let a be 76/6 - 6 - 6. Factor -a*x**4 - 2*x**3 + 0 - 4/3*x**2 + 0*x.
-2*x**2*(x + 1)*(x + 2)/3
Let b be (-4)/(-10) - (-196)/10. Let q be (-8)/b*5*-1. Find c, given that 0 + 0*c - 1/2*c**3 - 1/2*c**q = 0.
-1, 0
Let p(h) be the second derivative of -h**7/35 + h**6/30 + h**5/10 - h**4/6 + h**2/2 - 3*h. Let u(g) be the first derivative of p(g). Factor u(v).
-2*v*(v - 1)*(v + 1)*(3*v - 2)
Let -1/4 + 1/4*c + 3/4*c**2 - 1/4*c**3 - 1/2*c**4 = 0. What is c?
-1, 1/2, 1
Let y(p) be the first derivative of 0*p**3 + 0*p**2 - 1/10*p**6 + 0*p - 2/25*p**5 + 1/20*p**4 + 5. What is t in y(t) = 0?
-1, 0, 1/3
Let k(n) be the second derivative of -n**4/6 - 4*n**3/3 - 3*n**2 + n. Factor k(v).
-2*(v + 1)*(v + 3)
Let n be 3/7 - (-50)/14. Suppose -28/5*w - 4/5*w**3 + 12/5 + n*w**2 = 0. What is w?
1, 3
Let x(p) be the first derivative of -p**5/180 + p**3/18 - 3*p**2/2 + 4. Let y(s) be the second derivative of x(s). Factor y(o).
-(o - 1)*(o + 1)/3
Suppose s - v = 6*s - 10, -4*s - 3*v - 3 = 0. Let l be s/((-4)/12*-3). Factor 0 + 1/2*m**4 - 1/4*m**5 + 0*m**2 - 1/4*m**l + 0*m.
-m**3*(m - 1)**2/4
Let y(j) be the third derivative of -j**7/105 - j**6/180 + j**5/15 + j**4/12 + j**3/6 - 3*j**2. Let p(h) be the first derivative of y(h). Factor p(r).
-2*(r - 1)*(r + 1)*(4*r + 1)
Let n(j) be the first derivative of -j**4/36 - j**3/9 - j**2/6 - j/9 + 4. Find z such that n(z) = 0.
-1
Let c(u) = -u**2. Suppose 18 = -p - 4*b, b = -b - 8. Let x(s) = 2. Let w(j) = p*c(j) - x(j). Factor w(f).
2*(f - 1)*(f + 1)
Solve -4*o - o**2 - 15 + 0*o + 11 = 0.
-2
Let z = -2/815 - -1652/8965. What is t in 12/11*t**2 - 8/11*t**3 - 8/11*t + z + 2/11*t**4 = 0?
1
Let s(c) = 4*c - 56. Let u be s(14). Let i(a) be the third derivative of 0*a - 2*a**2 - 1/4*a**4 + u - 2/3*a**3 - 1/30*a**5. Determine n so that i(n) = 0.
-2, -1
Let n(y) be the third derivative of -y**5/120 - y**4/24 - y**3/12 - 4*y**2. Factor n(l).
-(l + 1)**2/2
Let a(g) be the third derivative of -g**5/600 + g**4/120 + 12*g**2. Find w such that a(w) = 0.
0, 2
Let x be (-9)/((-27)/12) + -1. Let z = 2 + -1. Solve -1/2*w**x - z + w**2 + 1/2*w = 0.
-1, 1, 2
Let q = -175 + 1227/7. Factor 0 - 4/7*b**3 + 2/7*b**4 + 0*b + q*b**2.
2*b**2*(b - 1)**2/7
Let j(u) be the third derivative of -u**5/30 - u**4/2 - 3*u**3 - 12*u**2. Suppose j(z) = 0. Calculate z.
-3
Let n(o) be the second derivative of o**7/231 + o**6/165 - o**5/110 - o**4/66 + 41*o. Suppose n(x) = 0. Calculate x.
-1, 0, 1
Let z(x) = -x + 9*x**2 - 2*x + 2*x. Let f(i) = 4*i**2. Let d(l) = -10*f(l) + 4*z(l). Find y, given that d(y) = 0.
-1, 0
Suppose 24*c + 2/3*c**4 - 34/3*c**2 + 0*c**3 - 40/3 = 0. What is c?
-5, 1, 2
Let k(x) = 5*x**2 - 2*x - 3. Let i(j) = 6*j**2 - 3*j - 3. Let p(u) = -2*i(u) + 3*k(u). Factor p(n).
3*(n - 1)*(n + 1)
Solve -1 - 2*s**2 - 312*s**3 + 309*s**3 + 1 + s**5 = 0 for s.
-1, 0, 2
Let a(x) = -x**3 - 7*x**2 + 23*x + 47. Let y be a(-9). What is u in -2/5*u + 0 + 2/5*u**y = 0?
0, 1
Let u be (2 + -3)/(30/(-4) + 2). Factor -u*q + 4/11 - 2/11*q**2.
-2*(q - 1)*(q + 2)/11
Let g(d) be the first derivative of d**6/30 + d**5/4 + d**4/2 - 2*d**3/3 - 4*d**2 + 2*d + 3. Let w(m) be the first derivative of g(m). Factor w(x).
(x - 1)*(x + 2)**3
Let j(f) be the second derivative of f**6/150 + f**5/50 - f**4/60 - f**3/15 - 8*f. Let j(k) = 0. What is k?
-2, -1, 0, 1
Let o be (-4)/10 - (-60)/25. Solve -3/4*a**5 + 1/2*a**3 - a**4 + 0 + a**o + 1/4*a = 0.
-1, -1/3, 0, 1
Let b(s) be the second derivative of -3*s**6/10 + 3*s**5/20 + 2*s**4 + 2*s**3 + 14*s. Factor b(o).
-3*o*(o - 2)*(o + 1)*(3*o + 2)
Let f = -1/388 - -8541/1940. Factor -18/5*t**2 - 7/5*t - 13/5*t**4 - f*t**3 - 3/5*t**5 - 1/5.
-(t + 1)**4*(3*t + 1)/5
Let o(l) be the third derivative of 0 + 0*l + 1/180*l**6 + 0*l**4 + 4*l**2 - 1/180*l**5 - 1/630*l**7 + 0*l**3. Factor o(r).
-r**2*(r - 1)**2/3
Let l(w) = w**2 - 4*w - 7. Let p be l(-5). Factor -4*j**3 - 2*j**2 - 2*j**2 - p*j + 38*j.
-4*j**2*(j + 1)
Let y(d) = -21*d**4 - 69*d**3 - 111*d**2 - 69*d - 21. Let m(x) = -3*x**4 - 10*x**3 - 16*x**2 - 10*x - 3. Let k(n) = 15*m(n) - 2*y(n). Solve k(w) = 0.
-1
Let o be (0 + 1)*(1 + -1). Let g(z) be the third derivative of o + 0*z**5 + 0*z + 2*z**2 - 1/420*z**7 + 0*z**3 + 0*z**4 - 1/240*z**6. Factor g(l).
-l**3*(l + 1)/2
Suppose 8/5*b**2 + 4/5 - 2/5*b**3 - 2*b = 0. What is b?
1, 2
Let f(x) be the first derivative of -4*x**5/5 + 4*x**4 - 8*x**3 + 8*x**2 - 4*x + 9. Factor f(g).
-4*(g - 1)**4
Let q(f) be the third derivative of -f**5/210 - 6*f**2. Let q(u) = 0. What is u?
0
Let j(c) = c**2 + 3*c - 11. Let i(g) be the first derivative of g**2/2 - 3*g + 1. Let b(m) = 7*m - 1. Let x be b(-3). Let t(k) = x*i(k) + 6*j(k). Factor t(l).
2*l*(3*l - 2)
Let y(g) = g**2 - g + 1. Let t(r) = -2*r**2 - 22*r - 14. Let h(p) = -t(p) + 2*y(p). Factor h(x).
4*(x + 1)*(x + 4)
Let t = 71 - 71. Solve 0 - 2/3*d**3 + t*d + 2/3*d**2 = 0 for d.
0, 1
Factor 2/9*l**3 - 2/9*l + 4/9 - 4/9*l**2.
2*(l - 2)*(l - 1)*(l + 1)/9
Let j = 31/130 - 8/39. Let o(y) be the third derivative of -1/15*y**3 - 1/150*y**5 + 0 + y**2 + 0*y + j*y**4. Solve o(a) = 0.
1
Let g(c) be the second derivative of -2*c**7/441 + c**6/45 - c**5/35 - c**4/126 + 2*c**3/63 - c. Suppose g(k) = 0. Calculate k.
-1/2, 0, 1, 2
Let i(f) be the first derivative of 1/12*f**6 + 1/8*f**4 + 0*f**2 + 0*f - 1/5*f**5 + 0*f**3 + 5. Determine h so that i(h) = 0.
0, 1
Let m(o) be the second derivative of o**6/150 - 3*o**5/100 + o**4/20 - o**3/30 - 33*o. Factor m(k).
k*(k - 1)**3/5
Let l(y) = 70*y**2 - 160*y + 51. Let z(m) = -14*m**2 + 32*m - 10. Let b(u) = -4*l(u) - 22*z(u). Let b(p) = 0. Calculate p.
2/7, 2
Let h(n) be the third derivative of 0*n + 0*n**4 + 1/960*n**6 + 1/12*n**3 - 1/160*n**5 + 0 + 6*n**2. Factor h(w).
(w - 2)**2*(w + 1)/8
Let y(g) = g**3 + g. Let a(n) = 17*n**3 - 27*n**2 - 40*n + 12. Let f(h) = a(h) + 4*y(h). Factor f(s).
3*(s - 2)*(s + 1)*(7*s - 2)
Let z = -20 + 22. What is h in 2 + h**4 + 10*h**2 - h**2 + 5*h + 2*h + 7*h**3 - z*h**3 = 0?
-2, -1
Let n(m) be the third derivative of -2*m**7/735 + m**6/70 + 2*m**5/21 - 31*m**2. Find k such that n(k) = 0.
-2, 0, 5
Let x(h) = 6*h**2 + 68*h + 54. Let z(u) = 2*u**2 + 23*u + 18. Let t(s) = 3*x(s) - 8*z(s). Find p such that t(p) = 0.
-9, -1
Let a(b) be the second derivative of 0*b**2 + 1/9*b**3 + 1/12*b**4 - 1/12*b**5 - 3*b + 0. Suppose a(s) = 0. Calculate s.
-2/5, 0, 1
Let w(f) be the second derivative of 2*f**6/15 - f**4/3 + 3*f. Factor w(s).
4*s**2*(s - 1)*(s + 1)
Let o(w) = 3*w**5 - 2*w**4 + 7*w**3 + 4*w**2 + 6*w. Let a(z) = -z**4 - z**2 - z. Let t(c) = -6*a(c) - o(c). Solve t(b) = 0.
0, 2/3, 1
Let z = 189 + -1320/7. Let x(s) be the third derivative of -z*s**3 - 3*s**2 + 1/14*s**4 - 1/210*s**5 + 0 + 0*s. Factor x(g).
-2*(g - 3)**2/7
Find y, given that 90*y**3 + 3*y**5 - 6 + 9*y - 28*y**3 + 6*y**2 - 36*y**3 - 38*y**3 = 0.
-2, -1, 1
Let m(o) be the third derivative of -3*o**5/80 - o**4/8 - o**3/8 - 2*o**2. Factor m(q).
-3*(q + 1)*(3*q + 1)/4
Let l(u) be the third derivative of u**9/30240 + u**8/3360 - u**6/90 - u**5/15 - 3*u**2. Let n(d) be the third derivative of l(d). Factor n(m).
2*(m - 1)*(m + 2)**2
Let t(x) = x**3 - 11*x**2. Let c be (-11)/2*(-4)/2. Let l be t(c). Factor l*o**5 + 0*o**4 - 3*o**4 - 2*o**5 + o**4.
-2*o**4*(o + 1)
Let n(c) be the third derivative of c**5/180 - c**4/36 + c**3/18 + 22*c**2. Let n(r) = 0. What is r?
1
Let b = 29/60 + -3/20. Let l(a) be the second derivative of 1/60*a**5 + 5/18*a**3 + 2*a + 0 + b*a**2 + 1/9*a**4. Factor l(w).
(w + 1)**2*(w + 2)/3
Let z(b) = 8*b**2 - 31*b + 7. Let l(c) = -4*c**2 + 15*c - 3. Let r(f) = -7*l(f) - 3*z(f). Factor r(m).
4*m*(m - 3)
Let r be 0*(20/(-50))/(12/10). Let u(z) be the first derivative of 1 + r*z - 1/15*z**3 + 1/5*z**2. Suppose u(g) = 0. What is g?
0, 2
Let h be ((-186)/48 + 4)*6. Determine z, given that 0 - 3/4*z**4 - 9/4*z**3 - h*z - 9/4*z**2 = 0.
-1, 0
Factor -2/3*x - 1/3*x**2 + 1.
-(x - 1)*(x + 3)/3
Let a(d) be the third derivative of 0*d + 0*d**4 - 1/60*d**5 + 1/6*d**3 + 0 - 5*d**2. Suppose a(y) = 0. What is y?
-1, 1
Let