 Calculate k.
-1, 0, 1
Let j(m) = -m**5 + m**4. Let c(p) = 10*p**5 - 12*p**4 + 4*p**3 - 2*p. Let q(t) = t**2 + 6*t + 5. Let y be q(-7). Let u(z) = y*j(z) + c(z). Solve u(s) = 0.
-1, 0, 1
Let p(x) be the first derivative of -7*x**6/30 + 16*x**5/25 - 11*x**4/20 + 2*x**3/15 - 3. Factor p(m).
-m**2*(m - 1)**2*(7*m - 2)/5
Let v(y) = -3*y**3 - 5*y + 5. Let t(q) = -2*q**3 - 4*q + 4. Let o(d) = 5*t(d) - 4*v(d). Factor o(u).
2*u**3
Suppose -m = -0*m. Suppose m = 2*s - 4*s + 4. Find w such that -2 + 4 - s - w**2 = 0.
0
Let a(h) = h**3 + 3*h**2 - 5*h - 2. Let t be a(-4). Factor 6*c - 20*c**3 + 18*c**3 - 2*c**t + 2 - 4*c.
-2*(c - 1)*(c + 1)**2
Let q be ((-5)/270*-6)/(2/6). Factor 1/3*t**3 + 0*t + 0 - q*t**2.
t**2*(t - 1)/3
Let x = 1/70 - -472/35. Let g = x - 73/6. Find h, given that g + 16/3*h**2 + 2*h**3 + 14/3*h = 0.
-1, -2/3
Suppose -3*o + 4*c - 515 = -1, 697 = -4*o + 3*c. Let m = 896/5 + o. Determine t, given that m*t + 4/5 + 126/5*t**4 - 58/5*t**2 - 78/5*t**3 = 0.
-1/3, 2/7, 1
Let m = 6 + -8. Let o(z) = 6*z**4 + 26*z**3 - 26*z**2 + 5*z. Let n(q) = -5*q**3 + 6*q**2 - q**4 - 3*q**2 - q + 2*q**2. Let p(u) = m*o(u) - 11*n(u). Factor p(a).
-a*(a - 1)**3
Let n = 13/56 - -131/56. Factor -n*c**5 + 96/7*c**4 + 12/7*c**2 + 72/7*c - 146/7*c**3 + 16/7.
-2*(c - 2)**3*(3*c + 1)**2/7
Let z(i) = -3*i**2 - 6*i + 3. Let g(n) = 3*n**2 + 7*n - 2. Let q(f) = 3*g(f) + 4*z(f). Factor q(c).
-3*(c - 1)*(c + 2)
Let l be 8/(-12) + 15/9. Let a = 1 + l. Factor 2/3*w**a + 2*w**4 + 0*w + 0 - 2/3*w**5 - 2*w**3.
-2*w**2*(w - 1)**3/3
Factor 0 - 2/7*a - 1/7*a**3 - 3/7*a**2.
-a*(a + 1)*(a + 2)/7
Let z be (-19)/(-4) + 3/12. Let j = -246 - -1726/7. Factor 6/7*l + 4/7*l**2 - 6/7*l**4 - 2/7*l**z - j*l**3 + 2/7.
-2*(l - 1)*(l + 1)**4/7
Let u(p) be the first derivative of -1/2*p**2 + 0*p + 1/84*p**4 - 1/42*p**3 + 1 - 1/420*p**5. Let y(j) be the second derivative of u(j). Factor y(z).
-(z - 1)**2/7
Let z = 2 + 2. Let f be 2/6*8/z. Factor -1/3*m - 1/3*m**2 + f.
-(m - 1)*(m + 2)/3
Let i(r) = r**3 + 3*r**2 + 3. Let a be i(-3). Suppose 10*q + a*q**2 + 0*q**2 - q = 0. Calculate q.
-3, 0
Let f be (-4)/(-22) - ((-5424)/660 + 8). Factor -6/5*l + f*l**3 + 4/5 + 0*l**2.
2*(l - 1)**2*(l + 2)/5
Let k(c) be the third derivative of 1/180*c**5 + 0*c**4 + 0 + 2*c**2 + 0*c - 1/18*c**3. Find q, given that k(q) = 0.
-1, 1
Let z(j) = j**4 + 3*j**3 + 2*j**2 - 3*j. Let a(g) = g**3 + g**2 - g. Let c(w) = -3*a(w) + z(w). Suppose c(f) = 0. Calculate f.
-1, 0, 1
Suppose 4*h = 9*h - 10. Let u(g) be the first derivative of 7/8*g**4 + 0*g + 1/2*g**h + 2 + 3/2*g**3. Let u(s) = 0. What is s?
-1, -2/7, 0
Let c be (-4 - -1) + -3 + 379. Let k = c - 2607/7. Factor 0*y + k*y**3 + 2/7*y**2 + 2/7*y**4 + 0.
2*y**2*(y + 1)**2/7
Let f(s) be the second derivative of -4*s + 4/21*s**3 + 2/35*s**5 + 1/7*s**2 + 1/7*s**4 + 0 + 1/105*s**6. Suppose f(c) = 0. What is c?
-1
Let s = 1196/5 - 238. Find n, given that 2/5*n**4 - 2/5*n + s*n**2 + 0 - 6/5*n**3 = 0.
0, 1
Let x(w) = 37*w**2 + 217*w + 60. Let s(j) = -93*j**2 - 543*j - 150. Let c(y) = -5*s(y) - 12*x(y). Factor c(z).
3*(z + 5)*(7*z + 2)
Let s(v) = 3*v**2 - 25*v - 50. Let t(u) = u**2 - 12*u - 25. Let w(m) = 2*s(m) - 5*t(m). Find i, given that w(i) = 0.
-5
Let x(k) be the first derivative of k**3/24 - 3*k**2/8 - 7*k/8 - 35. Factor x(i).
(i - 7)*(i + 1)/8
Let q(g) = g**3 - 2*g**2 - 11*g - 4. Let m be q(-2). What is h in -2/7*h**m - 8/7 - 8/7*h = 0?
-2
Let d = -81 + 83. Solve -20*b**d + 24*b - 16/3 - 50/3*b**3 = 0.
-2, 2/5
Let v be (2/1)/(-2) + 39/26. Factor 1/4*b**2 + 1/4 - v*b.
(b - 1)**2/4
Factor 12/5*d - 36/5 + 3/5*d**2.
3*(d - 2)*(d + 6)/5
Let d(t) be the second derivative of -3*t**5/20 + 3*t**3/2 + 3*t**2 - 13*t. Factor d(p).
-3*(p - 2)*(p + 1)**2
Suppose 0 + 2 = o. Let k = 14 - 10. Factor 14/5*c + 2*c**3 - 4/5 - 2/5*c**k - 18/5*c**o.
-2*(c - 2)*(c - 1)**3/5
Factor 1358 + 18*z**2 + 3*z**4 - 1358 - 15*z**3.
3*z**2*(z - 3)*(z - 2)
Let f(n) be the second derivative of n**4/54 + n**3/27 - 2*n**2/9 - 10*n. Determine y so that f(y) = 0.
-2, 1
Let y(v) be the second derivative of v**4/4 - 3*v**3/4 - 3*v**2/2 + 15*v. Find o such that y(o) = 0.
-1/2, 2
Let b(u) be the second derivative of u**6/30 - u**5/5 + u**4/4 + 2*u**3/3 - 2*u**2 + 52*u. Solve b(r) = 0.
-1, 1, 2
Let h(o) = -o**3 - 15*o**2 - 14*o + 4. Let j be h(-14). Factor 10/7*f**3 + 0 + 2/7*f**2 - 2/7*f + 6/7*f**j.
2*f*(f + 1)**2*(3*f - 1)/7
Let n = -74/3 + 27. Let k = n - 2. Find u, given that 0 - k*u**2 + 1/3*u = 0.
0, 1
Let t(a) = 27*a**2 + 48*a + 48. Let d(y) = 7*y**2 + 12*y + 12. Suppose h = f + 7, 0*f + 3 = 3*h + 3*f. Let k(b) = h*t(b) - 15*d(b). Solve k(c) = 0 for c.
-2
Let z(b) = 5*b**3 + 15*b**2 - 5*b - 25. Let a(k) = 5*k**3 + 15*k**2 - 6*k - 26. Let w(f) = -5*a(f) + 6*z(f). Factor w(x).
5*(x - 1)*(x + 2)**2
Let b = 188/91 - 12/13. Determine o so that -b - 2/7*o**3 + 0*o + 6/7*o**2 = 0.
-1, 2
Let a(g) = -11*g**3 - 9*g**2 - 13*g - 8. Let n(v) = 6*v**3 + 4*v**2 + 6*v + 4. Let k(m) = 4*a(m) + 7*n(m). Let k(f) = 0. Calculate f.
-2, -1
Let a = 133 - 129. Let l(v) be the second derivative of 0 + 0*v**2 - 1/10*v**5 + 1/3*v**3 + a*v + 0*v**4. Let l(k) = 0. Calculate k.
-1, 0, 1
Let h(t) be the second derivative of 0 - 1/6*t**4 - 1/10*t**5 + 3*t + 0*t**2 - 1/9*t**3 - 1/45*t**6. Let h(u) = 0. Calculate u.
-1, 0
Let d(r) be the second derivative of -r**10/151200 + r**4/4 + 2*r. Let q(h) be the third derivative of d(h). Let q(v) = 0. Calculate v.
0
Let b(n) be the second derivative of -n**8/1120 - n**7/280 + n**6/240 + n**5/40 + n**3/3 + 4*n. Let a(r) be the second derivative of b(r). Solve a(x) = 0 for x.
-2, -1, 0, 1
Let o(j) be the first derivative of -1/4*j**4 + 0*j - 5 - 1/2*j**2 + 2/3*j**3. Determine n so that o(n) = 0.
0, 1
Find h such that 2*h**3 + 2/3*h**4 - 4*h**2 - 16 - 56/3*h = 0.
-2, 3
Let d = -12 - -51/4. Let a be (4 - (-216)/(-52))/((-20)/65). Suppose -7/4*w**3 + a - d*w - 3*w**2 = 0. What is w?
-1, 2/7
Let b(i) be the first derivative of -3/5*i**5 + i**3 - 3/4*i**4 + 5 + 0*i + 3/2*i**2. Let b(l) = 0. Calculate l.
-1, 0, 1
Let i be (6/(-25))/(68/(-1530)). Determine v, given that -6/5 + i*v - 12/5*v**2 = 0.
1/4, 2
Let z(u) be the first derivative of 0*u**4 + 0*u + 0*u**2 - 2 - 1/9*u**6 + 2/15*u**5 + 0*u**3. Find v such that z(v) = 0.
0, 1
Let t = 40/7 + -113/21. Factor 0*n**2 - 1/6*n**3 + 1/2*n - t.
-(n - 1)**2*(n + 2)/6
Let p(o) be the first derivative of -o**6/1260 - o**5/210 + o**4/28 - 2*o**3/3 - 6. Let h(z) be the third derivative of p(z). Let h(k) = 0. What is k?
-3, 1
Let q(v) be the first derivative of 7*v**6/180 - 19*v**5/90 + 2*v**4/9 + 4*v**3/9 - 2*v**2 + 4. Let o(y) be the second derivative of q(y). Factor o(r).
2*(r - 2)*(r - 1)*(7*r + 2)/3
Factor -3*z**4 + 4*z**4 - 2*z**4.
-z**4
Let i(f) be the second derivative of -1/70*f**7 + 0 + 0*f**4 + 0*f**6 - 1/10*f**3 + 3/50*f**5 - 2*f + 0*f**2. Factor i(p).
-3*p*(p - 1)**2*(p + 1)**2/5
Suppose 5*p - 6 = -26. Let x = p + 7. Find a, given that 0*a**2 - 2*a**4 + 3*a**4 + a**5 - a**2 + 4*a**x - 5*a**3 = 0.
-1, 0, 1
Let r(g) be the second derivative of -g**5/90 + g**4/54 + g**3/27 - g**2/9 + 3*g. Determine a, given that r(a) = 0.
-1, 1
Let g be (3/(-9))/((-1)/(-3)). Let d = 3 + g. Factor -r**2 + 8*r**d + 4*r - 2*r.
r*(7*r + 2)
Let j(t) = 2*t**3 + 16*t**2 - 102*t + 81. Let a(x) = -x**3 + x**2 + x. Let n(y) = 3*a(y) + j(y). Factor n(g).
-(g - 9)**2*(g - 1)
Let j be ((-2)/(-6))/(40/24). Let h(r) be the first derivative of -1/10*r**4 - 1 + 1/5*r**2 - 1/25*r**5 + 0*r**3 + j*r. Factor h(f).
-(f - 1)*(f + 1)**3/5
Find v, given that -3/2*v**2 + 1/2*v**4 + 0 - v + 0*v**3 = 0.
-1, 0, 2
Suppose -3*v - 5*l = v - 7, -5*l = -2*v + 11. Suppose -3*b = -m - 5, -2*m - v = -4*b + 3*m. Factor 4/13*k + 2/13*k**b + 2/13.
2*(k + 1)**2/13
Let n be 1 + (-909)/(-21) + 2. Let h = n - 46. Determine z so that -h*z**2 - 4/7 + 6/7*z = 0.
1, 2
Let d(w) be the second derivative of -w**7/168 + w**5/20 - w**4/24 - w**3/8 + w**2/4 + 4*w. Factor d(z).
-(z - 1)**3*(z + 1)*(z + 2)/4
Let n(v) be the second derivative of -3/2*v**5 - 4/21*v**7 + 13/15*v**6 + v + 0*v**2 - 1/3*v**3 + 7/6*v**4 + 0. Solve n(r) = 0.
0, 1/4, 1
Suppose -5 - 5 = -5*g. Find x, given that -x**5 - 16 + 4*x**4 - x**5 - 60*x**3 - 76*x**g + 10*x**3 - 20*x**4 - 56*x = 0.
-2, -1
Let c(u) be the first derivative of 2*u**5/5 + u**4 - 2*u**3/3 - 