t + -323. Factor 0 + 0*y - 1/2*y**2 + 1/2*y**l.
y**2*(y - 1)/2
Let j(n) be the second derivative of -5*n**4/12 + 25*n**3/6 - 7*n + 2. What is d in j(d) = 0?
0, 5
Factor -1/3*o**4 + 0*o**2 + 0 + 4/3*o - o**3.
-o*(o - 1)*(o + 2)**2/3
Let k(a) be the first derivative of 21*a**4/22 + 18*a**3/11 - 36*a**2/11 - 24*a/11 + 175. Factor k(p).
6*(p - 1)*(p + 2)*(7*p + 2)/11
Let i = 16040 + -16036. Solve 4/11*x**2 + 0 + 0*x - 7/11*x**5 + 5/11*x**i + 16/11*x**3 = 0 for x.
-1, -2/7, 0, 2
Let p = -2417 + 2421. Let r(o) be the third derivative of 2/735*o**7 + 0 + 0*o**3 + 0*o + 1/35*o**5 + 1/70*o**6 + 11*o**2 + 1/42*o**p. Factor r(a).
4*a*(a + 1)**3/7
Factor 225/2 + 1/2*u**3 + 195/2*u - 29/2*u**2.
(u - 15)**2*(u + 1)/2
Let b(r) be the third derivative of r**8/336 + r**7/210 - r**6/40 - r**5/12 - r**4/12 + 274*r**2. Factor b(m).
m*(m - 2)*(m + 1)**3
Factor 61*k - 962 - 48*k**2 - 90*k**3 + 29*k + 935 + 75*k**4.
3*(k - 1)*(k + 1)*(5*k - 3)**2
Factor 28*g**4 - 64*g**3 + 36*g**4 - 16 + 128*g - 252*g**2 + 32*g**3.
4*(g - 2)*(g + 2)*(4*g - 1)**2
Let z(n) be the third derivative of n**5/60 + 3*n**4/8 + 4*n**3/3 - 2*n**2 + 14*n. Solve z(h) = 0 for h.
-8, -1
Let j = -29 - -52. Let k(n) = -n**2 + 32*n - 85. Let m be k(29). What is i in 21*i**2 - 28*i**3 + j*i**3 - 6*i**m - 10*i = 0?
0, 1, 2
Let k(n) = n**2 - n. Let r(u) = 2*u**2 - 6*u - 2*u**2 + 3*u**2 + 3. Suppose -13*g + 22*g = -9. Let o(z) = g*r(z) + 2*k(z). Factor o(j).
-(j - 3)*(j - 1)
Let w(y) = -y**4 + 26*y**3 - 10*y + 9. Let l(k) = -k**4 + 17*k**3 - 7*k + 6. Let n(x) = -8*l(x) + 5*w(x). Factor n(t).
3*(t - 1)**3*(t + 1)
Let c(r) be the first derivative of r**4/12 + 2*r**3/9 + r**2/6 + 69. Determine z so that c(z) = 0.
-1, 0
Let t = -21 - -23. Suppose -t = y - 4. What is g in -y*g**3 - 6 - 2*g**5 + 3*g**2 + 2*g + 9*g**2 - 4*g - 6*g**4 + 6*g**3 = 0?
-3, -1, 1
Let m = 34 + -31. Factor -8*f + 0*f**3 - 6*f**3 + f**m - 12*f**2 + f**3.
-4*f*(f + 1)*(f + 2)
Let k(r) be the first derivative of -r**4 + 68*r**3/3 - 160*r**2 + 256*r - 160. Factor k(t).
-4*(t - 8)**2*(t - 1)
Let a be ((-126)/(-30))/((-8)/10) - -6. Let n(r) be the first derivative of 0*r - r**3 + a*r**4 - 13 + 0*r**2. Factor n(m).
3*m**2*(m - 1)
Let u be ((-14)/(-42))/(1/15). Solve -4*j**3 - 16*j**2 + 8*j + j**3 - u*j**3 + 12*j**4 + 4 = 0.
-1, -1/3, 1
Let b(w) = -5*w**4 + 24*w**3 - 51*w**2 + 14*w. Let n(a) = -45*a**4 + 215*a**3 - 460*a**2 + 125*a. Let m(v) = -55*b(v) + 6*n(v). Factor m(p).
5*p*(p - 4)*(p - 1)**2
Let g(h) = 55*h**5 + 42*h**4 - 395*h**3 + 12*h**2 + 340*h - 42. Let l(j) = j**4 + j**2 - 6. Let y(k) = g(k) + 3*l(k). What is n in y(n) = 0?
-3, -1, 2/11, 1, 2
Let g be 5 + (-3*4/24)/((-4)/(-24)). Factor -2/7*d - 3/7 + 1/7*d**g.
(d - 3)*(d + 1)/7
Let j = 207 - 204. Let d(i) be the second derivative of -6*i - 17/90*i**5 + 0 + 1/27*i**6 - 4/27*i**j + 0*i**2 + 8/27*i**4. Determine v, given that d(v) = 0.
0, 2/5, 1, 2
Factor 0 + 1/4*z**4 + 13/4*z**2 + 0*z + 7/2*z**3.
z**2*(z + 1)*(z + 13)/4
Let d = -4873/2 - -2444. Factor 3*o**3 + 0*o + 0*o**2 + d*o**4 + 0.
3*o**3*(5*o + 2)/2
Find n, given that 24/7 + 72/7*n**3 - 148/7*n + 164/7*n**2 = 0.
-3, 2/9, 1/2
Let w be 5*(-28)/(-70) + 2. Factor 1/2*m**w + 3/2*m**2 - 2 + 2*m - 2*m**3.
(m - 2)**2*(m - 1)*(m + 1)/2
Let o(n) = 24*n - 98. Let d(l) = -70*l + 294. Let k(r) = -6*d(r) - 17*o(r). Let c be k(9). Determine y, given that -7/2*y**4 + 2*y + 23/2*y**3 + 0 - c*y**2 = 0.
0, 2/7, 1, 2
Suppose o + 4*p + 7 = 31, p - 13 = -2*o. Let y(k) be the first derivative of 0*k + 0*k**o + 2/7*k**3 - 2/7*k**2 - 2/35*k**5 - 2. Factor y(i).
-2*i*(i - 1)**2*(i + 2)/7
Let 2*q**4 - 6*q - q**3 + 2*q**3 + 10*q**3 + 5 - 22*q**2 + 15 - 5*q**3 = 0. What is q?
-5, -1, 1, 2
Find f, given that 6*f - 4*f**2 - 2*f - f - 111*f**3 + 112*f**3 = 0.
0, 1, 3
Let o(t) be the second derivative of 3/14*t**3 + 12*t - 1/28*t**4 + 0*t**2 + 0. Factor o(l).
-3*l*(l - 3)/7
Let h(b) = -b**2 + 16*b + 5. Let z be h(16). Factor 94*r**4 - 16*r - 122*r**4 + z*r**3 - 2*r**2 + 50*r**2 + 31*r**3.
-4*r*(r - 2)*(r + 1)*(7*r - 2)
Let s be (-207)/675 + ((-2)/(-6))/1. Let y(v) be the third derivative of 1/100*v**6 + s*v**5 + 0*v - 2/15*v**3 - 5*v**2 + 0 - 1/60*v**4. Factor y(p).
2*(p + 1)**2*(3*p - 2)/5
Let c be (-2873)/(-2380) + 6/(-7). Let n(r) be the first derivative of -9/8*r**4 + 0*r - 2 - 5/3*r**3 - r**2 - c*r**5 - 1/24*r**6. Factor n(t).
-t*(t + 1)*(t + 2)**3/4
Factor 1/5*p**3 + 6/5 + 8/5*p**2 + 13/5*p.
(p + 1)**2*(p + 6)/5
Let v(d) = d**2 - d + 1. Let f(c) = -2*c**4 + 20*c**3 - 20*c**2 - 30*c + 78. Let w(x) = 2*f(x) - 44*v(x). Factor w(k).
-4*(k - 7)*(k - 2)**2*(k + 1)
Let a(h) be the third derivative of -2*h**4 + 3/5*h**5 + 0*h - 19*h**2 + 0 + 7/30*h**6 - 8/3*h**3. Find n, given that a(n) = 0.
-2, -2/7, 1
Let r(g) be the first derivative of g**5/15 + 17*g**4/36 + 8*g**3/9 + g**2/2 - 26*g + 1. Let x(o) be the first derivative of r(o). Find h such that x(h) = 0.
-3, -1, -1/4
Let y(g) be the third derivative of -g**7/1008 - g**6/96 + 9*g**4/8 - 30*g**2. Let i(q) be the second derivative of y(q). Let i(x) = 0. Calculate x.
-3, 0
Let q = 839 - 837. Let f(y) be the third derivative of -q*y**2 + 0*y**3 + 2/525*y**7 + 0 - 2/75*y**6 + 0*y + 1/25*y**5 + 0*y**4. Factor f(a).
4*a**2*(a - 3)*(a - 1)/5
Let a = -28847 + 201933/7. Factor 12/7*h**3 - 16/7*h**2 + a*h + 0.
4*h*(h - 1)*(3*h - 1)/7
Let n be (9 + -5)/(24/18). Let p(o) be the first derivative of -n*o - 9/2*o**2 - 2*o**3 + 3. Determine u, given that p(u) = 0.
-1, -1/2
Let 1/2*k**5 + 9/4*k**4 + 13/4*k**3 + 5/4*k**2 - 3/4*k - 1/2 = 0. What is k?
-2, -1, 1/2
Let n = -1/8920 - -35687/62440. Solve 4/7 + 0*a**2 - n*a**4 + 8/7*a - 8/7*a**3 = 0 for a.
-1, 1
Let s(h) be the first derivative of -h**6/90 + h**5/5 - 2*h**3/3 - 20*h + 11. Let f(a) be the third derivative of s(a). Solve f(g) = 0.
0, 6
Let g = -1/32732 + 16367/32732. Factor g*p - 1/2*p**2 + 1.
-(p - 2)*(p + 1)/2
Factor 1/7 + 0*z - 2/7*z**2 + 0*z**3 + 1/7*z**4.
(z - 1)**2*(z + 1)**2/7
Find m such that -1800*m - 3/8*m**3 - 24000 - 45*m**2 = 0.
-40
Suppose y + 16 = 9*y. Let u(p) = 2*p**2 - 2*p - 8. Let k(o) be the first derivative of o**2/2 - o + 2. Let g(v) = y*k(v) - u(v). Suppose g(h) = 0. Calculate h.
-1, 3
Let s be 2/145*(-50)/(-90). Let m = 1054/1305 - s. Let 2/5*h**2 - m + 2/5*h = 0. Calculate h.
-2, 1
Let 2*f**2 - 14*f + 46*f - 5*f**2 - f**2 = 0. Calculate f.
0, 8
Let p(g) be the first derivative of g**6/18 - g**5/3 - 7*g**4/4 - 23*g**3/9 - 4*g**2/3 - 52. Factor p(k).
k*(k - 8)*(k + 1)**3/3
Let o(c) be the third derivative of -1/240*c**6 + 0*c - 1/2016*c**8 + 0*c**3 + 0 - 3*c**2 + 1/420*c**7 + 0*c**4 + 1/360*c**5. Factor o(m).
-m**2*(m - 1)**3/6
Let p be -11 + 11 + 6/2. Suppose -m = 2, 4*m = -p*n - 0*m - 8. Factor 1/7*l**2 - 2/7*l**3 + 0*l + 1/7*l**4 + n.
l**2*(l - 1)**2/7
Let h(w) = -w - 3. Let n be h(-5). Let r be -2*(25/5 - 6). Factor 6*g**2 + g**3 - 4*g**n - g**r.
g**2*(g + 1)
Determine g so that 48 - 2006*g + 0 - 16*g**2 + 1818*g = 0.
-12, 1/4
Let x(u) = 2*u**3 - 14*u**2 - 16*u + 3. Let k be x(8). Let p = 45/26 - 3/13. Find o, given that -k - 3/2*o**3 + 9/2*o**2 + 3/2*o - p*o**4 = 0.
-2, -1, 1
Let w = -64 - -66. Suppose 0 = -2*r + 5*r + 9, 4*m - w*r = 6. Let 1/5 - 1/5*j**2 + m*j = 0. What is j?
-1, 1
Suppose -2/7*u - 2/21*u**4 + 2/7*u**3 - 2/21*u**2 + 4/21 = 0. What is u?
-1, 1, 2
Let i(j) be the third derivative of 0*j + 40*j**2 + 1/105*j**5 + 0*j**3 - 1/420*j**6 - 1/84*j**4 + 0. Factor i(r).
-2*r*(r - 1)**2/7
Factor -23/3*s + 8 - 1/3*s**2.
-(s - 1)*(s + 24)/3
Let r be 2/((-4)/(-2*(10 + -7))). Factor 1/2*k**4 - 1/10*k**5 + 0 + 7/10*k**2 - 9/10*k**r - 1/5*k.
-k*(k - 2)*(k - 1)**3/10
Suppose 34*h - 31*h - 9 = 0. Let u(f) be the second derivative of 0 + 1/16*f**4 - h*f + 1/8*f**3 + 0*f**2. Factor u(a).
3*a*(a + 1)/4
Suppose -5*i + 4*u + 104 + 8 = 0, i + 3*u = 11. Suppose -m - 2*s = 2*s - 12, 0 = 4*m + 2*s - i. Factor -6*o**2 - 6*o + 2 + 4*o + 2*o**3 + m*o**2 + 0*o**2.
2*(o - 1)**2*(o + 1)
Suppose 0 = 3*l + 6*l + 6*l. Let x(a) be the third derivative of 5*a**2 + 0*a + 1/8*a**4 + l + 0*a**3 - 1/60*a**5. Factor x(k).
-k*(k - 3)
Suppose 3*x - 4 = 4*d, 6*d - 7*d = -x + 2. Factor 2 - 21 - 12*b + 5 + 2*b**d.
2*(b - 7)*(b + 1)
Let o(u) = u**2 - u - 3. Let i(c) = 6*c**3 - 52*c**2 - 54*c + 1. Let h(y) = -i(y) + 3*o(y). Factor h(k).
-(k - 10)*(k + 1)*(6*k - 1)
Let v =