 c**2 = 0. Calculate c.
-1, 0
Let t be ((-12)/(-80))/((-108)/(-24)). Let y(n) be the second derivative of 0 + 0*n**3 - n - 1/5*n**2 + t*n**4. Factor y(h).
2*(h - 1)*(h + 1)/5
Let n(x) be the second derivative of -1/6*x**4 + 12*x + 2*x**3 + 7*x**2 + 0. Suppose n(w) = 0. Calculate w.
-1, 7
Let q(m) be the third derivative of m**3 + 6*m**2 + 1/70*m**7 + 0*m - 1/8*m**6 - 7/8*m**4 + 0 + 9/20*m**5. Factor q(f).
3*(f - 2)*(f - 1)**3
Let p(n) = 17*n**2 - 109*n + 104. Let d(u) = 3*u**2 - u + 1. Let m(q) = -4*d(q) + p(q). Find s such that m(s) = 0.
1, 20
Factor 0 + 4/13*h**2 + 2/13*h**3 + 0*h.
2*h**2*(h + 2)/13
Let m = 76 + -46. Factor 110 + 7*i**2 - m + 32*i - 2*i**2 + 8*i.
5*(i + 4)**2
Let r(u) = -7*u - 84. Let f be -10*1/(-10)*(-15 - -3). Let n be r(f). Suppose 1/3*y**3 + 2/3*y**2 + n + 0*y = 0. Calculate y.
-2, 0
Factor 0 - 7/3*v + 1/3*v**2.
v*(v - 7)/3
Let v(t) be the third derivative of t**8/2240 + t**7/840 - t**6/240 - t**5/40 + 5*t**4/8 + 14*t**2. Let x(q) be the second derivative of v(q). Factor x(h).
3*(h - 1)*(h + 1)**2
Find t such that -2/3*t + 0 + 2/3*t**3 + 0*t**2 = 0.
-1, 0, 1
Suppose 4*k + 1 = 13. Suppose -4*v + 3 = -4*h - v, -5*v + 5 = -k*h. Find r such that r**3 - 3 + r**3 - 2*r**4 - 2*r + r**4 + h*r**3 + 4*r**2 = 0.
-1, 1, 3
Let t be 306/(-1377) + (344/90 - 2). Solve -2/5*o**2 - t + 2*o = 0 for o.
1, 4
Suppose 104 - 15*o**3 - 476/3*o + 82*o**2 + 1/3*o**4 = 0. What is o?
2, 39
Let o(j) = -6*j**3 - 21*j**2 - 3 + 15*j**3 + 18*j**2. Let a(l) = l**4 - 28*l**3 + 8*l**2 + 8. Let v(f) = -3*a(f) - 8*o(f). Factor v(d).
-3*d**3*(d - 4)
Let m(u) = -2*u**4 - u**3 + u**2 - 8*u - 3. Let i(b) = 2*b**4 - 2*b**2 + 8*b + 4. Let f = -14 - -18. Let l(c) = f*m(c) + 5*i(c). Factor l(a).
2*(a - 2)**2*(a + 1)**2
Let d(u) = 32*u. Let x be d(-1). Let q = x - -37. Factor -5*y**4 + q*y**2 - 5*y**5 - 39*y**3 + 0*y**2 + 44*y**3.
-5*y**2*(y - 1)*(y + 1)**2
Let h(n) = -11*n**3 - 99*n**2 - 495*n + 611. Let c(i) = -45*i**3 - 395*i**2 - 1980*i + 2445. Let y(g) = 6*c(g) - 25*h(g). Factor y(q).
5*(q - 1)*(q + 11)**2
Let u be (-1497)/(-21) - 4/14. Let c = 358/5 - u. Factor -3/5*h - 1/5*h**3 + 1/5 + c*h**2.
-(h - 1)**3/5
Suppose 43*n**3 + 24 + 14*n + 3*n**2 - 44*n**3 - 4*n**2 = 0. What is n?
-3, -2, 4
Factor 1/4*i**2 - 3/2 + 5/4*i.
(i - 1)*(i + 6)/4
Let z be -3 + (24/6 - -49). Let h = -48 + z. Factor -h*o**3 - 3/2 + 5*o + 9/2*o**2.
-(o - 3)*(o + 1)*(4*o - 1)/2
Let f = 6 - 6. Let m be 3 + 0 + (f - 1). Factor 21 - 21 + 2*l**2 + m*l**3.
2*l**2*(l + 1)
Suppose -4*i + 5*s = -32, -5*i + s + 55 = 15. Find j such that -12*j**3 + 3*j**5 + 6*j**4 + 6*j**5 - 10*j**5 + i*j**2 = 0.
0, 2
Let c(y) be the third derivative of y**6/24 - 13*y**5/6 + 125*y**4/24 + 3*y**2 + 13. Find q such that c(q) = 0.
0, 1, 25
Let h(b) = b**2 - 7*b + 13. Let u be h(4). Let l be (-2)/10*-4*u. Factor -l*o**2 + 0 + 1/5*o + 6/5*o**3 + 1/5*o**5 - 4/5*o**4.
o*(o - 1)**4/5
Let i(l) = -l**4 - 2*l**3 - 11*l**2 - 6*l. Let k(m) = -m**3. Let p(v) = i(v) + 4*k(v). Factor p(f).
-f*(f + 1)*(f + 2)*(f + 3)
Let q = -114 + 114. Suppose -b + 43 - 40 = q. Find a such that -4*a**2 + 20/3*a + 16/3*a**4 - 20/3*a**b - 4/3 = 0.
-1, 1/4, 1
Suppose 8 = 4*r - 4. Factor 0*l**4 + 2*l**4 - l**2 - 5*l**4 - l**5 - 6*l**3 + 3*l**r.
-l**2*(l + 1)**3
Suppose 5*x = 5*t + 60, 5*x - 3*t - 6 = 54. Suppose x = 3*h - 3. Factor 5 + 5*y**2 - 5*y + h - 10*y.
5*(y - 2)*(y - 1)
Let z(m) be the first derivative of m**4/16 + 5*m**3/12 + 3*m**2/8 - 9*m/4 + 78. Factor z(a).
(a - 1)*(a + 3)**2/4
Suppose -184*m = -187*m. Let f(w) be the first derivative of 1/6*w**3 + 1/16*w**4 + 8 + 0*w**2 + m*w. Suppose f(u) = 0. Calculate u.
-2, 0
Let r = -2396 + 404926/169. Let g = 497/845 + r. Solve 3/5*n**2 + g*n + 0 = 0 for n.
-1, 0
Let n be 6*5/126 - ((-228)/42 + 5). Let -4/3*a**2 - n*a + 2/3*a**3 + 4/3 = 0. What is a?
-1, 1, 2
Suppose -3*j + 2*d = 2 + 2, -d = -5*j + 5. Suppose -3*o = j*o - 15. Determine a, given that 6*a**2 - 6*a**4 + 3 + 8*a**3 - 3 - 15*a**5 + 7*a**o = 0.
-1, -2/5, 0, 1
Let t = 2776/5 + -558. Let z = t + 43/10. Factor -3*a + 3/2 + z*a**2.
3*(a - 1)**2/2
Let x(o) be the second derivative of 9*o**8/448 + 3*o**7/28 + o**6/4 + o**5/3 + o**4 + 11*o. Let h(d) be the third derivative of x(d). Factor h(g).
5*(3*g + 2)**3
Let q = -1301/5 - -3223/15. Let z = q + 958/21. Suppose -6/7*h**3 - 2/7*h - 6/7*h**2 + 0 - z*h**4 = 0. Calculate h.
-1, 0
Let k(f) = -412*f**2 + 13876*f - 157232. Let s(g) = -g**3 + 1235*g**2 - 41627*g + 471692. Let p(z) = 11*k(z) + 4*s(z). Factor p(b).
-4*(b - 34)**3
Let j(v) be the second derivative of v**5/10 - v**4/6 - 2*v**3/3 - 598*v. What is p in j(p) = 0?
-1, 0, 2
Let b(j) be the first derivative of 2*j**6/3 - 16*j**5/5 + 5*j**4 - 8*j**3/3 + 107. Factor b(g).
4*g**2*(g - 2)*(g - 1)**2
Factor -2/23*i**4 + 0*i**3 - 2/23 + 0*i + 4/23*i**2.
-2*(i - 1)**2*(i + 1)**2/23
Let j be -2 + 12/9 - (-310)/186. Find n, given that n + 29/4*n**2 - j + 21/4*n**3 = 0.
-1, -2/3, 2/7
Suppose 15*p + 45 = 90. Let z(i) be the second derivative of 0 - 1/12*i**2 - 1/72*i**4 - 1/18*i**p - 2*i. Let z(a) = 0. Calculate a.
-1
Let g(b) = b - 5. Let w(i) = i + 18. Let v be w(-11). Let l be g(v). Factor 32*f**2 + 3*f - 2*f**3 - l*f - 31*f**2.
-f*(f - 1)*(2*f + 1)
Let f(z) be the first derivative of -z**4/5 - 2*z**3/15 + 8*z**2/5 + 8*z/5 - 465. Factor f(d).
-2*(d - 2)*(d + 2)*(2*d + 1)/5
Let t(o) = 28*o + 1265. Let h be t(-45). What is r in 1/2*r**3 + 0 - 1/3*r + 1/6*r**4 - 1/6*r**h - 1/6*r**2 = 0?
-1, 0, 1, 2
Let v = 1891/6 - 315. Let k(w) be the second derivative of -v*w**4 + 3/10*w**5 + 0 + 0*w**2 + w + 0*w**3 + 4/15*w**6. Factor k(y).
2*y**2*(y + 1)*(4*y - 1)
Let d(z) be the second derivative of 5/12*z**4 + 15/2*z**2 + 10/3*z**3 + 0 + 16*z. Find g, given that d(g) = 0.
-3, -1
Factor -3/7*g**2 + 54/7*g - 96/7.
-3*(g - 16)*(g - 2)/7
Let f(i) be the third derivative of -i**5/120 + i**4/3 + 75*i**2. Factor f(b).
-b*(b - 16)/2
Let v be 4/(-10) - (1254/(-110) + 9). Factor -2/5*t + 2/5*t**v + 0.
2*t*(t - 1)/5
Let l = -10 - -16. Suppose l - 11 = -r. Factor 4*k**4 - 4*k**2 + 0*k**4 - r*k**3 + 0*k + k**3 + 4*k.
4*k*(k - 1)**2*(k + 1)
Let u(c) = 12*c**3 - 6*c**2 - 26*c + 20. Let l(n) = 5*n**3 - 2*n**2 - 13*n + 10. Let q(r) = -10*l(r) + 4*u(r). Suppose q(g) = 0. What is g?
-5, 1, 2
Let o be 1*(20/2)/2. Find w, given that -4*w**3 - 2*w**o + 2*w**5 - 6*w**4 + 2*w + 4*w**2 - 2 + 2*w**5 + 4*w**4 = 0.
-1, 1
Let t(v) be the third derivative of 0*v + 1/15*v**5 + 1/30*v**6 - 1/6*v**4 + 0 - 2/105*v**7 + 19*v**2 + 0*v**3. Factor t(u).
-4*u*(u - 1)**2*(u + 1)
Let q(t) = t + 5. Let a be q(-2). Let l be (-4)/(-12)*((a - 5) + 3). Determine y so that l*y**2 - 2/3*y + 0 = 0.
0, 2
Let k = -245/3 - -1471/18. Let j(f) be the second derivative of -k*f**4 + 4/3*f**2 - 1/3*f**3 - 13*f + 0. Let j(l) = 0. What is l?
-4, 1
Let h(b) = 3*b**2 + 2*b + 1. Let j be h(-1). Let t be ((-2)/(-6))/(27/162). Factor 2*i**2 + 2*i + i**2 + j*i - 5*i**t.
-2*i*(i - 2)
Suppose 0 = -5*r - 2*x + 28, -2*r = -193*x + 194*x - 12. Let y(d) be the first derivative of 1 + 2/9*d**3 + 1/6*d**r - 2/3*d**2 + 0*d. Solve y(i) = 0.
-2, 0, 1
Let g be 1533/584 - 6/(-16). Factor 13/3*n**4 + 3*n**g - 1/3*n**2 + 5/3*n**5 - 2/3*n + 0.
n*(n + 1)**3*(5*n - 2)/3
Let j(i) = -10*i**3 - 155*i**2 + 275*i - 110. Let h(p) = -10*p**2 + 25*p + 5*p**2 - 10 - 9*p**2 - p**3 + 0*p**2. Let n(g) = -65*h(g) + 6*j(g). Factor n(c).
5*(c - 2)*(c - 1)**2
Let z be (0 - 18/(-8)) + 10/(-40). Find m such that 10*m**z - 22*m**3 - 2*m + 2*m**4 + 14*m**3 - 2*m = 0.
0, 1, 2
Suppose -2 = -2*b + 6. Suppose 2*q - 2*m = 7*q - 13, 3*m = b*q - 15. Factor 0*d**4 - 2*d**4 - 5*d**3 - q*d**4.
-5*d**3*(d + 1)
Let w(p) be the first derivative of p**4/4 + 7*p**3/3 + 7*p**2 + 8*p - 22. Factor w(t).
(t + 1)*(t + 2)*(t + 4)
Let h(y) be the third derivative of -1/6*y**5 + 0*y**7 + 5/3*y**3 + 0 - 5/336*y**8 + 12*y**2 + 0*y + 1/6*y**6 - 5/8*y**4. Factor h(f).
-5*(f - 1)**3*(f + 1)*(f + 2)
Let v(c) = 4*c**5 + 36*c**4 + 8*c**3 + 3*c**2 + 3. Let p(j) = j**4 + j**2 + 1. Let n(s) = 6*p(s) - 2*v(s). Determine o so that n(o) = 0.
-8, -1/4, 0
Let u(t) be the third derivative of 14*t**7/15 - 217*t**6/15 + 311*t**5/5 - 96*t**4 + 72*t**3 - 136*t**2. Factor u(d).
4*(d - 6)*(d - 2)*(7*d - 3)**2
Let x(u) be the third derivative of -u**5/180 + u**4/8 - 4*u**3/9 + u**2. Determine r, given that x(