x.
-2, 0, 1
Suppose 150*i - 47*i = 0. Factor i + 3/8*a**2 + 0*a.
3*a**2/8
Let z(n) be the second derivative of n**6/6 + n**5/4 - 5*n**4/3 - 10*n**3/3 - 4*n - 5. Factor z(t).
5*t*(t - 2)*(t + 1)*(t + 2)
Let j(n) be the third derivative of n**8/20160 - n**7/504 + 5*n**6/144 - n**5/20 - 9*n**2. Let a(f) be the third derivative of j(f). Find h such that a(h) = 0.
5
Let t(o) be the second derivative of -o**6/195 - 2*o**5/13 - 37*o**4/78 - 6*o**3/13 - 351*o. Find c, given that t(c) = 0.
-18, -1, 0
Suppose 5*v - 12 = -176*f + 179*f, -f = -3*v + 8. Factor 0 + 3/2*m - 3/2*m**5 + v*m**2 + 0*m**3 - 3*m**4.
-3*m*(m - 1)*(m + 1)**3/2
Let l be 3/((1350/99)/2). Let p(o) be the first derivative of -1/5*o**2 + 7 - 1/10*o**6 + 3/5*o**3 + 0*o + l*o**5 - 3/4*o**4. Determine d so that p(d) = 0.
0, 2/3, 1
Factor -2*n**2 + 0 + 2/3*n**3 + 4/3*n.
2*n*(n - 2)*(n - 1)/3
Let k(g) be the second derivative of -g**6/50 + 81*g**5/100 - 243*g**4/20 + 729*g**3/10 - 2*g - 36. Find z such that k(z) = 0.
0, 9
Factor 4/5*p**4 - 16/5*p**2 - 16/5*p + 4/5*p**3 + 0.
4*p*(p - 2)*(p + 1)*(p + 2)/5
Let c be 10/3*6/4. Let o(r) = r**3 + 2*r**2 - 1. Let q be o(1). Factor 0*a - 3/5*a**c + 3/5*a**3 + 0 + 3/5*a**4 - 3/5*a**q.
-3*a**2*(a - 1)**2*(a + 1)/5
Let m(r) = -7 + 2*r**2 - 5 + 6 - 14*r - 12*r**2. Let s(k) = k**2 + k + 1. Let f(x) = m(x) + 6*s(x). Factor f(l).
-4*l*(l + 2)
Suppose 5*z - z - g - 171 = 0, -111 = -3*z - 5*g. Let i be (0 - 0) + (z/(-17) - -4). Let 14/17*j + 30/17*j**2 + i*j**3 + 2/17 + 8/17*j**4 = 0. Calculate j.
-1, -1/4
Let u(f) = -2*f + 10. Let y be u(4). Factor -i**2 - 4*i + 2*i**y - 7*i**2 + 5*i**2 - 3.
-(i + 1)*(i + 3)
Let f = -4187 + 4189. Factor 4/11 - 6/11*x + 2/11*x**3 + 0*x**f.
2*(x - 1)**2*(x + 2)/11
Find n such that -6*n**4 + 4*n**3 + 12*n**4 - 5*n**4 - 65*n**2 + 2304 - 192*n - 27*n**2 = 0.
-8, 6
Let w(j) be the first derivative of 3/4*j**4 + 0*j**3 + 0*j**2 + 0*j + 1/2*j**6 + 11 - 6/5*j**5. Find s, given that w(s) = 0.
0, 1
Let k(d) be the first derivative of d**4 - 432*d**3 + 69984*d**2 - 5038848*d - 233. Factor k(b).
4*(b - 108)**3
Let k(c) = -2*c**4 - 10*c**3 + 10*c**2 + 2*c + 2. Let u(a) = 8*a**4 + 30*a**3 - 29*a**2 - 7*a - 7. Let b(f) = -7*k(f) - 2*u(f). Factor b(n).
-2*n**2*(n - 3)*(n - 2)
Determine w, given that 15*w**3 + 3*w**4 - 57*w**2 + 56*w**2 + 16*w**2 - 3*w**3 + 6*w = 0.
-2, -1, 0
Let y(z) = -6*z**2 + 56*z - 104. Let c(p) = -13*p**2 + 113*p - 210. Let f(i) = -4*c(i) + 9*y(i). Factor f(l).
-2*(l - 24)*(l - 2)
Let m = -103 - -103. Let p(c) be the second derivative of 1/72*c**4 + m*c**2 - 5*c + 0 + 0*c**3 - 1/120*c**5. Let p(q) = 0. What is q?
0, 1
Let y(d) = d**3 - d**2 - 1. Let b be (8/6)/(4/72). Let p(r) = -20*r**3 + 20*r**2 - 4*r + 28. Let i(x) = b*y(x) + p(x). Factor i(j).
4*(j - 1)**2*(j + 1)
Let p(b) be the second derivative of -b**4/4 - 21*b**3/2 + 108*b**2 - 104*b + 3. Let p(i) = 0. What is i?
-24, 3
Let b(l) = -l**3 - 2*l**2 + 8*l + 4. Let y(m) = -m**3 - 2*m**2 + 8*m + 5. Let z(q) = 5*b(q) - 4*y(q). Factor z(n).
-n*(n - 2)*(n + 4)
Let t be 5/2*266/1155*-6 + 4. Suppose 0 - 10/11*d**4 + t*d**3 + 4/11*d**5 - 2/11*d + 2/11*d**2 = 0. What is d?
-1/2, 0, 1
Let u(b) be the second derivative of 1/135*b**6 + 1/9*b**2 + 0 - 4/27*b**3 - 2/45*b**5 - 3*b + 1/9*b**4. Factor u(i).
2*(i - 1)**4/9
Let d be (-45)/(-80)*-12 + 2 + -6 + 11. What is w in d*w**3 - 5/4*w**2 + 2*w - 1 = 0?
1, 2
Let o(u) be the first derivative of -u**5/10 - 11*u**4/8 - 3*u**3/2 + 119*u**2/4 - 49*u + 107. Find v, given that o(v) = 0.
-7, 1, 2
Let 30/7*a**2 + 152/7 - 2/7*a**3 + 144/7*a = 0. What is a?
-2, 19
Let l(x) be the third derivative of x**10/75600 + x**9/60480 - x**8/4032 + x**7/2520 - x**5/5 + 35*x**2. Let i(h) be the third derivative of l(h). Factor i(q).
q*(q - 1)*(q + 2)*(2*q - 1)
Determine g, given that 6*g**4 - 224 + 224 - 10*g**5 + 4*g**3 = 0.
-2/5, 0, 1
Factor -2/9*x**3 + 0 - 3872/9*x + 176/9*x**2.
-2*x*(x - 44)**2/9
Let l be (-2)/12*-20 - 1/3. Let c(k) be the second derivative of 0 + 1/54*k**4 + 2/27*k**l + 0*k**2 - k. Factor c(x).
2*x*(x + 2)/9
Let r(a) be the third derivative of -a**6/72 - a**5/6 + 25*a**4/24 - a**3/3 + 15*a**2. Let l(u) be the first derivative of r(u). Factor l(h).
-5*(h - 1)*(h + 5)
Let i = 555 - 553. Let k be 10/6*4/10. Solve -k*b**4 + 1/6*b - 1/6*b**3 + 0 + 2/3*b**i = 0.
-1, -1/4, 0, 1
Suppose -3*k + 6 = -0. Let m(j) = j**2 + 7*j - 5. Let h be m(-8). Determine a, given that 14*a**2 + a + 8*a**3 + 0 + h*a - k = 0.
-1, 1/4
Let r = 85 + -85. Suppose r = -20*q - q + 105. Determine t, given that 0 + t**2 + 1/2*t**q + 0*t**3 - 1/2*t - t**4 = 0.
-1, 0, 1
Suppose -6*c - 55 = -11*c. Let 5*j - c + 6 + 75*j**2 - 7 + 2 = 0. Calculate j.
-2/5, 1/3
Let p be 36/9*3/4. Let m be 0*(-4)/12 + p/6. Factor -v**5 - m*v**2 + 0*v + 0 - 5/2*v**4 - 2*v**3.
-v**2*(v + 1)**2*(2*v + 1)/2
Suppose -3*f + 3*f**3 + 0*f**2 + 3*f**2 + 17 - 6*f**2 - 14 = 0. What is f?
-1, 1
Let z(d) be the third derivative of -d**6/40 - 9*d**5/4 + 2*d**2 + 145. Factor z(a).
-3*a**2*(a + 45)
Factor 1/9*g**4 + 1/9*g**3 - 1/9*g**5 + 0 - 1/9*g**2 + 0*g.
-g**2*(g - 1)**2*(g + 1)/9
Let i(o) be the second derivative of -1/80*o**5 + 8*o**2 - 2*o**3 - 13*o + 1/4*o**4 + 0. Factor i(c).
-(c - 4)**3/4
Let v(n) be the second derivative of n**7/77 + n**6/165 - n**5/55 - 32*n. Find w, given that v(w) = 0.
-1, 0, 2/3
Suppose 11 = 4*i - 5*j, 0*j = -3*i - 3*j - 12. Let a be i + 0 + (-15 - -18). Suppose 2*k**2 - 7*k**2 + k**a + 2*k**3 = 0. Calculate k.
0, 2
Let y(q) be the second derivative of -q**4/6 - 24*q**3 - 71*q**2 + 45*q - 1. Factor y(t).
-2*(t + 1)*(t + 71)
Let z(g) be the first derivative of 0*g - 2/3*g**3 + g**2 + 1/8*g**4 + 6. Factor z(v).
v*(v - 2)**2/2
Let z(o) = -5*o**3 + 330*o**2 - 5093*o - 11574. Let d(h) = 5*h**3 - 330*h**2 + 5094*h + 11572. Let n(u) = 7*d(u) + 6*z(u). Determine p, given that n(p) = 0.
-2, 34
Let h(u) = -u**3 - u**2 + 2*u - 3. Let p be h(-3). Let w be (4/(-3))/4 + 3/p. Let w*v**2 - 1/5*v**4 + 1/5*v**3 + 0*v + 0 = 0. Calculate v.
0, 1
Let p(s) be the third derivative of 1/315*s**7 + 0 - 11*s**2 + 0*s**5 + 0*s + 1/180*s**6 + 0*s**4 + 0*s**3. Suppose p(x) = 0. Calculate x.
-1, 0
Let q be ((-3)/7)/(-3) + 26 + 11382/(-441). Factor 0 + q*v**2 + v.
v*(v + 3)/3
Let -15*r**2 + 0*r + 0 - 108/7*r**3 - 3/7*r**4 = 0. Calculate r.
-35, -1, 0
Find a, given that 4*a**5 + 128*a**2 - 517*a**3 - 15*a**4 - 256*a - 17*a**4 + 565*a**3 = 0.
-2, 0, 2, 4
Factor 26897 + 95*t**2 - 100*t - 26897 + 5*t**3.
5*t*(t - 1)*(t + 20)
Factor 3*o**3 + 108*o**2 + 63*o + 94*o**2 - 136*o**2.
3*o*(o + 1)*(o + 21)
Let r(u) be the third derivative of u**5/180 + 13*u**4/72 - 8*u**3/3 + 7*u**2 + 24*u. Factor r(l).
(l - 3)*(l + 16)/3
Let f(m) be the first derivative of 1/4*m**3 + 1/16*m**4 - 9/8*m**2 - 2*m - 5. Let n(a) be the first derivative of f(a). Factor n(t).
3*(t - 1)*(t + 3)/4
Let z = 21686 - 108429/5. Factor -3/5 - 4/5*m - z*m**2.
-(m + 1)*(m + 3)/5
Let z be (-46)/(-6) + 2/6. Suppose 3 = 3*a, 2*n + a + 3 = z. Determine b, given that 15 - 17*b + 2*b**2 - 3*b + 3*b**n = 0.
1, 3
Let j = 4178/9405 + 2/9405. Factor -j*d - 1/3 - 1/9*d**2.
-(d + 1)*(d + 3)/9
Let l be 11 - (-194)/(-18) - (-573)/216. What is r in -5*r**2 - l*r - 3/8 + 2*r**3 = 0?
-1/4, 3
Solve -16/5 - 2/5*h**3 + 8/5*h + 4/5*h**2 = 0 for h.
-2, 2
Let n be 5 + (2/(-6))/(11/66). Let l(g) = 2*g**2 + 8*g - 14. Let m(y) = 2*y**2 + 7*y - 15. Let b(r) = n*l(r) - 2*m(r). Factor b(k).
2*(k - 1)*(k + 6)
Let l be (1 - 3) + -12*(-4)/6. Factor -12*q**4 + 12*q**4 - 3*q - 3*q**5 + 3*q**4 - l*q**2 + 3 + 6*q**3.
-3*(q - 1)**3*(q + 1)**2
Let s(b) be the first derivative of -21 + 0*b - 1/3*b**2 + 4/9*b**3 - 4/15*b**5 + 1/9*b**6 + 0*b**4. Factor s(x).
2*x*(x - 1)**3*(x + 1)/3
Let f be (-1)/(31/(-30) + 2/2). Let c be 12/3 + f/(-9). Solve 0*l**2 + 0 + 2/3*l**5 - 4/3*l**3 + c*l**4 + 0*l = 0 for l.
-2, 0, 1
Suppose 5*q = q - 3*g + 20, 25 = 5*q + 4*g. Solve 0*b**2 + q*b**2 - 6*b - 2*b**2 + 3 + 0*b**2 = 0 for b.
1
Let k(r) = -r**2 + 3*r - 4. Let b(s) = -s**2 + 4*s - 5. Let t(o) = -4*b(o) + 5*k(o). Factor t(n).
-n*(n + 1)
Suppose 2*k - 9 = -2*f + 23, f = k - 8. Factor -13*c**2 - 5*c**3 + k*c**2 + 35*c - 20 - 9*c**2.
-5*(c - 1)**2*(c + 4)
Let c(m) be the first derivative of 1/1080*m**6 - m**3 - 1/180*m**5 - 10 + 1/72*m**4 + 0*m**2 + 0*m. Let v(w) be the third derivative of c(w). Solve 