 0*i - 1/6*i**3 - 1/40*i**5 - 5/48*i**4. What is z in k(z) = 0?
-1, 2
Let p = -20 - -22. Factor -1 - p*z - 11 + 9 + 7 - 2*z**2.
-2*(z - 1)*(z + 2)
Let q(t) be the second derivative of -t**5/80 - 3*t**4/8 - 9*t**3/2 - 27*t**2 + 12*t. Factor q(u).
-(u + 6)**3/4
Suppose 6*q + 279 - 291 = 0. Factor 0 - 2/3*d**4 + 0*d**3 + 2/3*d**q + 0*d.
-2*d**2*(d - 1)*(d + 1)/3
Let q(w) be the third derivative of 0*w - w**2 + 1/24*w**4 - 1/240*w**6 + 0 + 0*w**3 - 1/120*w**5. Factor q(f).
-f*(f - 1)*(f + 2)/2
Let r(v) be the second derivative of -v + 0 + 28/27*v**3 + 4/9*v**2 + 49/54*v**4. Factor r(i).
2*(7*i + 2)**2/9
Let x be (15/(-36) - 0)*-2. Suppose 0 + x*u**3 + 1/3*u**2 + 0*u = 0. Calculate u.
-2/5, 0
Let l = -6 - -3. Let k(c) = -6*c - 4. Let y(q) = q**2 - 7*q - 5. Let t(m) = l*k(m) + 2*y(m). Determine s so that t(s) = 0.
-1
Let o(m) be the first derivative of -m**6/60 - 3*m**5/50 - m**4/20 + m**3/15 + 3*m**2/20 + m/10 + 3. Suppose o(t) = 0. What is t?
-1, 1
Factor 2/11*a**2 - 10/11*a - 12/11.
2*(a - 6)*(a + 1)/11
Let y be 18/4*(-2)/72*-16. Factor 1/3*p**3 + 0 - 2/3*p**y + 1/3*p.
p*(p - 1)**2/3
Suppose 4*c - 2066 = 1158. Let f = 2443/3 - c. Factor -1/3 + 10/3*y - f*y**2.
-(5*y - 1)**2/3
Factor -2*t**2 - 2*t**3 + 3*t**5 + 2*t**4 + 4*t - 4*t**3 - t**5.
2*t*(t - 1)**2*(t + 1)*(t + 2)
Let k(r) be the third derivative of -2*r**7/315 + r**6/180 + r**5/45 - r**4/36 + r**2. Let k(y) = 0. Calculate y.
-1, 0, 1/2, 1
Let k be 1/(-1 + (-28)/(-8)). Suppose k*u**3 - 4/5 - 6/5*u + 0*u**2 = 0. Calculate u.
-1, 2
Let d = -11 - -9. Let c be ((-56)/(-462))/(d/(-3)). Let -2/11*w**3 - 4/11 + 10/11*w - 6/11*w**2 + c*w**4 = 0. What is w?
-2, 1
Let j(c) be the third derivative of -c**6/540 - c**5/270 - 2*c**2. Let j(x) = 0. Calculate x.
-1, 0
Let l(v) be the second derivative of v**7/63 - 4*v**6/45 + v**5/6 - v**4/9 - 2*v. Factor l(c).
2*c**2*(c - 2)*(c - 1)**2/3
Let p(t) be the second derivative of t**4/60 + t**3/6 + 3*t**2/5 + 14*t. Suppose p(q) = 0. What is q?
-3, -2
Factor -4*y - 2/3*y**2 - 10/3.
-2*(y + 1)*(y + 5)/3
Let s(t) be the second derivative of 1/6*t**3 + 0 - 1/36*t**4 - t - 1/20*t**5 + 1/3*t**2 - 1/90*t**6. Let s(a) = 0. What is a?
-2, -1, 1
Let h(g) be the third derivative of -g**7/490 - g**6/140 + g**5/140 + g**4/28 + 18*g**2. Factor h(l).
-3*l*(l - 1)*(l + 1)*(l + 2)/7
Let k = 185 + 59. Let g = k + -1208/5. Factor -6/5*c**2 + 0 - 3/5*c - g*c**4 + 21/5*c**3.
-3*c*(c - 1)**2*(4*c + 1)/5
Let h(l) be the second derivative of l**4/3 + l**3/3 - 5*l. Let q(f) = -5*f + 0*f**3 + f**3 - 4*f**2 - 5*f**2. Let w(p) = -5*h(p) - 2*q(p). Factor w(v).
-2*v**2*(v + 1)
Let b(n) = n**2 - 4*n + 3. Let v be b(4). Determine x so that -5*x**4 + 0*x**4 + x**2 - 8*x + x**5 + x**v + 4 + 6*x**3 = 0.
-1, 1, 2
Let v(l) be the first derivative of -l**6/24 - l**5/20 + 3*l**4/16 + 5*l**3/12 + l**2/4 - 5. Let v(d) = 0. What is d?
-1, 0, 2
Let w(f) be the second derivative of f**4/8 - 5*f**3/12 + f**2/2 - 14*f. Factor w(a).
(a - 1)*(3*a - 2)/2
Suppose -7*t + 2*t = -15. Suppose -8 = t*o - 7*o. Determine r so that -2/3*r**o - 2/3 - 4/3*r = 0.
-1
Factor -25*t**3 + 2*t**4 + 18*t**4 + 2*t**4 - 7*t**4 - 5*t**2 + 25*t - 10.
5*(t - 1)**2*(t + 1)*(3*t - 2)
Let f = 14 + -9. Factor -f*m**3 + 0*m**3 + 0*m + 0*m + 2*m**2.
-m**2*(5*m - 2)
Suppose -3/8*z**3 + 3/8*z**2 + 3/4*z + 0 = 0. What is z?
-1, 0, 2
Let v be 24/8 - (4/(-2) - -5). Let a(u) be the first derivative of -2 + 1/6*u**2 - 2/9*u**3 + 1/12*u**4 + v*u. Factor a(o).
o*(o - 1)**2/3
Determine k, given that -3*k + k**2 - k - 4*k + 3*k = 0.
0, 5
Find w, given that -2/9*w**3 - 2/9*w + 0 - 4/9*w**2 = 0.
-1, 0
Let a(v) be the second derivative of -v**4/48 - v**3/12 + 3*v**2/8 - 20*v. Factor a(h).
-(h - 1)*(h + 3)/4
Let y(w) be the first derivative of -2*w**6/3 - 8*w**5/5 + 8*w**3/3 + 2*w**2 - 10. Factor y(m).
-4*m*(m - 1)*(m + 1)**3
Let h(k) = k**2 + k + 2. Let v be h(0). Suppose -11 = -3*d - v. Solve 2*u**d + u**2 - u**2 = 0.
0
Let h = -17 - -35/2. Let t = h + -3/10. What is u in 1/5*u**3 + 0*u - t*u**2 + 0 = 0?
0, 1
Let y be (-17)/(-5) - 4/10. Let j = -4 - -7. Factor -y + j - o**2.
-o**2
Let y = -151/2 - -76. Factor -y*p**3 + 1/3*p + 0 + 1/6*p**2.
-p*(p - 1)*(3*p + 2)/6
Let a be ((-3)/9)/(1/(-39)). Factor 2*h**4 + 2*h**2 + 2*h**3 + 11*h - 4*h**4 - a*h.
-2*h*(h - 1)**2*(h + 1)
Let c be (-2 + 3)/(7/49). Let u be (2/c)/((-3)/(-21)). Find y, given that 3/2*y**u + 9/4*y - 3/2 - 9/4*y**3 = 0.
-1, 2/3, 1
Let w(s) = s**4 - s**2 + s + 1. Let a = -8 - -7. Let c(t) = -9*t**3 + 6*t**2 + 6*t - 9. Let y(p) = a*c(p) - 3*w(p). Factor y(r).
-3*(r - 2)*(r - 1)**2*(r + 1)
Let w(n) = -16*n**4 - 52*n**3 + 16*n**2 - 2*n. Let g(k) = k**4 + 2*k**3 + k**2 - k. Let t(h) = -36*g(h) - 2*w(h). What is b in t(b) = 0?
0, 1, 2, 5
Let g = -26 - -16. Let a be 1/5 + (-38)/g. Find y, given that 0 - 1 + 36*y**a + 43*y**2 + 69*y**3 + 11*y + 2 = 0.
-1, -1/3, -1/4
Suppose 5*t - 3*t + 4 = 0. Let n be (-2)/((-4)/t) - -4. Solve -n*a - 1 - 3*a - 8*a**3 - 5*a**2 - 7*a**2 = 0 for a.
-1/2
Let i(b) be the third derivative of -b**5/12 + b**4/3 - b**3/2 - 2*b**2. Let g(a) = -a + 1. Let k(q) = -15*g(q) - 3*i(q). Factor k(n).
3*(n - 1)*(5*n + 2)
Let b = 493/12 + -41. Let o(z) be the second derivative of 0*z**2 + 0*z**3 + 1/20*z**5 + b*z**4 + 0 + 3*z. Factor o(h).
h**2*(h + 1)
Let d(v) = -2*v**2 + 6*v. Let u(n) = 4 - 9*n + 8*n - 4. Let z(q) = -d(q) - 8*u(q). Factor z(b).
2*b*(b + 1)
Determine k so that 8/7 + 1458/7*k**2 - 216/7*k = 0.
2/27
Let o(p) be the first derivative of 12*p**5/5 + 2*p**4 - 28*p**3/3 + 4*p**2 + 16. Factor o(x).
4*x*(x - 1)*(x + 2)*(3*x - 1)
Factor 2/5*d**5 + 6/5*d**3 + 6/5*d**4 + 0 + 2/5*d**2 + 0*d.
2*d**2*(d + 1)**3/5
Let t(k) be the second derivative of k**7/840 + k**6/360 - 5*k**3/6 + 2*k. Let i(u) be the second derivative of t(u). Suppose i(y) = 0. Calculate y.
-1, 0
Let a(n) = n + 3. Let w be a(-3). Factor w*u - u**2 - 6*u - u**2 + 2*u - 2.
-2*(u + 1)**2
Let r be 46/14 - 2/7. Let m(j) = 4*j**3 - 10*j**2 + 10*j + 10. Let c(q) = -q**3 + 2*q**2 - 2*q - 2. Let o(w) = r*m(w) + 14*c(w). Factor o(f).
-2*(f - 1)*(f + 1)**2
Let w = -12 - -20. Find n such that 6*n**2 + 6*n - 2 - w*n**2 - 2*n = 0.
1
Let g(j) be the third derivative of -j**8/2520 - j**7/630 - j**6/540 - j**3/6 + 4*j**2. Let p(m) be the first derivative of g(m). Solve p(d) = 0.
-1, 0
Let j(n) be the second derivative of 3/2*n**2 + 0 + 2*n + 3/4*n**4 - 3/2*n**3 - 3/20*n**5. Factor j(i).
-3*(i - 1)**3
Let u(c) be the first derivative of 3*c**5/35 - 3*c**4/7 + 5*c**3/7 - 3*c**2/7 - 12. Factor u(d).
3*d*(d - 2)*(d - 1)**2/7
Let n(r) = -r**4 + 9*r**3 + 11*r**2 - 21*r - 16. Let t(p) = p**4 + p**3 - p**2 + p + 1. Let g(l) = -n(l) - 6*t(l). Determine w so that g(w) = 0.
-2, -1, 1
Factor 10/13*k**3 + 14/13*k**2 - 16/13*k - 8/13.
2*(k - 1)*(k + 2)*(5*k + 2)/13
Let n be (-48)/(-18)*3/2. Let z(j) = -2*j**3 + j**2 - 2*j - 3. Suppose -4*p = 38 - 14. Let h(t) = -t**3 - t - 2. Let m(u) = n*z(u) + p*h(u). Solve m(g) = 0.
0, 1
Let c = -19 + 27. Let m be (c/(-10))/((-4)/10). Factor -4*r**2 + 16*r**3 + 64*r + 58*r**2 + 2*r**4 - 6*r**m + 32.
2*(r + 2)**4
Factor -55*d + 27*d**2 - 17 - 13 + 8*d**2.
5*(d - 2)*(7*d + 3)
Factor 0 + 0*n**2 + 0*n + 2/7*n**4 + 2/7*n**3.
2*n**3*(n + 1)/7
Suppose -4*v + 30 = 5*r, -2*r - v = -r - 7. Let a(j) be the second derivative of 1/40*j**5 + 0*j**2 + r*j + 0*j**4 + 0 + 0*j**3. Solve a(z) = 0 for z.
0
Let r(f) = 4*f + f**5 + 0*f**3 + 3*f**2 - 6*f**3 + f**3 + 3. Let j(h) = -h**3 + h**2 + h + 1. Suppose 2*x + 9 = 3. Let o(n) = x*j(n) + r(n). Factor o(z).
z*(z - 1)**2*(z + 1)**2
Suppose v - 4 = -1. Suppose 6*m - m - 15 = 0. Determine j, given that 2*j**m - j**v + 3*j**4 + j**5 - 4*j**4 + 3*j**4 = 0.
-1, 0
Let s(i) be the first derivative of 1/9*i**3 + 0*i**2 + 3 + 0*i. Factor s(c).
c**2/3
Factor 62*o**2 + 22*o + 23 - 60*o**2 - 3.
2*(o + 1)*(o + 10)
Let o = -196 - -198. Factor 0*t + 0*t**o + 14/5*t**4 + 0 - 4/5*t**3.
2*t**3*(7*t - 2)/5
Factor 2/17*k**2 + 12/17*k + 18/17.
2*(k + 3)**2/17
Let m(n) be the third derivative of -1/720*n**6 + 1/120*n**5 + 1/6*n**3 + 2*n**2 + 0*n + 0 + 0*n**4. Let w(c) be the first derivative of m(c). Factor w(h).
-h*(h - 2)/2
Factor -5*f**3 - 4*f**3 + 7*f**3.
-2*f**3
Let f(n) = n**2 - 2. Let v be f(-2). Find r, given that 3*r - r**2 - v*r**2 - 21*r - 27 = 0.
-3
Let x(o) = 2*o**2 - 4*o - 1. Let l