 0 + 1/32*j**5 - 1/2*j**3 + 0*j + 9/32*j**4. Factor y(f).
3*(f + 4)*(5*f - 2)/8
Let p be (-14)/28 - (-189)/(-6). Let j be 16/p - (-34)/52. Solve 2/13*k**2 + 0*k + j*k**4 + 0 - 4/13*k**3 = 0.
0, 1
Let p be 3/((-180)/(-174)) + (-1)/(-10). Suppose 0 = 3*o - 5*v + 2*v - 15, -o + 11 = -p*v. Suppose 7/3*q**o - 1/3*q**3 - 8/3*q - 16/3 = 0. What is q?
-1, 4
Let q(f) be the first derivative of f**4/6 - 4*f**2 - 32*f/3 - 63. Factor q(v).
2*(v - 4)*(v + 2)**2/3
Let d = -975 - -977. Let y(u) be the first derivative of 10 + 1/4*u**3 + 1/4*u**d + 0*u - 3/4*u**4 + 7/20*u**5. Suppose y(l) = 0. What is l?
-2/7, 0, 1
Let y(d) be the first derivative of d**4/20 - 2*d**3/15 - 13*d**2/10 - 2*d - 278. Let y(g) = 0. Calculate g.
-2, -1, 5
Suppose -330 - 194 = -4*i. Let g = i + -128. Factor 0 + 1/6*m**2 + 0*m - 1/6*m**g.
-m**2*(m - 1)/6
Determine q so that 86*q**4 + 10816*q - 172*q**4 + 160*q**3 - 9255 + 1122*q**2 - 3306*q**2 + 82*q**4 + 467 = 0.
1, 13
Suppose -3*r - 5*n = -20, 4*r - 24 = -n - 20. Let y(t) be the first derivative of 1/19*t**4 + 0*t - 7 + 6/95*t**5 + 0*t**2 + 1/57*t**6 + r*t**3. Factor y(k).
2*k**3*(k + 1)*(k + 2)/19
Let d(q) = -q**4 + 2*q**3 + q**2 - q - 1. Let h(f) = -f**3 + 11*f**2 + 5*f - 15. Let z(x) = -d(x) - h(x). Factor z(u).
(u - 4)*(u - 1)*(u + 2)**2
Let k(c) be the second derivative of -c**6/27 - 3*c**5/10 - 25*c**4/27 - 4*c**3/3 - 8*c**2/9 + 3*c + 5. Solve k(n) = 0 for n.
-2, -1, -2/5
Let h(m) be the third derivative of -m**8/672 - m**7/84 - m**6/40 + m**5/60 + 7*m**4/48 + m**3/4 - 5*m**2 - m. Solve h(r) = 0.
-3, -1, 1
Let b(p) be the third derivative of -p**5/80 - p**4/8 + 3*p**3/2 + 322*p**2. Suppose b(l) = 0. Calculate l.
-6, 2
Suppose 23*q = 26*q - 180. Determine o so that 2 + 9 + 2 - 4 - q*o**2 - 21*o = 0.
-3/5, 1/4
Let d(w) be the third derivative of -13*w**2 - 1/8*w**4 + 0*w - 1/4*w**5 + 0 + 1/2*w**3 - 3/40*w**6. Determine g so that d(g) = 0.
-1, 1/3
Let b(u) be the second derivative of u**7/23940 - u**6/2280 + u**5/570 - u**4/12 + 18*u. Let m(c) be the third derivative of b(c). Factor m(g).
2*(g - 2)*(g - 1)/19
Suppose 11/3*u - 26/3 + 1/3*u**2 = 0. Calculate u.
-13, 2
Let m be (-40)/(-24)*(-6)/(-45). Let i(r) be the first derivative of -1/4*r**4 - m*r**3 + 5 + 0*r + 0*r**2. Factor i(v).
-v**2*(3*v + 2)/3
Let -108/7 + 2/7*i**2 - 6/7*i = 0. Calculate i.
-6, 9
Let c(m) be the first derivative of -m**4/2 + 12*m**3 - 41*m**2 - 120*m + 209. Factor c(q).
-2*(q - 15)*(q - 4)*(q + 1)
Let g(z) = 2*z + 0*z + 0*z - 3*z + z**2. Let m(q) = -8*q**2 + 5*q. Let b(k) = -3*g(k) - 3*m(k). Let b(c) = 0. Calculate c.
0, 4/7
Let y(n) be the first derivative of -10*n**3/3 + 7*n - 2. Let h(t) = 9*t**2 - 6. Let a(x) = 7*h(x) + 6*y(x). Factor a(c).
3*c**2
Let w(b) be the third derivative of 0*b**3 + 1/22*b**4 + 0*b + 0 - 17*b**2 - 1/330*b**5. Factor w(j).
-2*j*(j - 6)/11
Let t(s) be the second derivative of -s**7/105 + s**6/75 + s**5/50 - s**4/30 - 6*s - 1. Let t(b) = 0. What is b?
-1, 0, 1
Let r(h) be the first derivative of 5*h**3/3 + 75*h**2/2 - 80*h - 60. Factor r(d).
5*(d - 1)*(d + 16)
Let l(i) be the first derivative of 9 - 1/6*i**4 - 1/30*i**5 + 4*i**2 + 0*i + i**3. Let w(g) be the second derivative of l(g). Let w(k) = 0. Calculate k.
-3, 1
Suppose 5*h = 2*s - 23, 2*h = -3*s + h + 9. Suppose -s*b = -2*b - 12. Let -6 + b*d + 3*d**2 - 3*d - 6*d = 0. Calculate d.
-1, 2
Let w be 315/(-6)*(-8)/3. Let b = -70 + w. Factor 75*r**3 - 12 + 20 - b*r**2 + 82*r**4 + 43*r**4 - 12*r.
(r + 1)*(5*r - 2)**2*(5*r + 2)
Let f = 824 - 822. Factor -1/5*s + 2/5 - 1/5*s**f.
-(s - 1)*(s + 2)/5
Suppose 2/5*m**2 - 2*m + 0 = 0. Calculate m.
0, 5
Let a(b) be the first derivative of -2*b**5/5 - 3*b**4/2 - 4*b**3/3 + 206. Solve a(j) = 0.
-2, -1, 0
Let j be -3 + (-12)/(-3) + 4. Suppose -4*m**5 + 4*m**5 - m**j + m**3 + 0*m**5 = 0. What is m?
-1, 0, 1
Let d(p) = 71*p**3 + 35*p**2 - 73*p - 19. Let n(w) = -22*w**3 - 12*w**2 + 24*w + 6. Let m(o) = -4*d(o) - 14*n(o). Factor m(s).
4*(s - 1)*(s + 2)*(6*s + 1)
Let u(b) = -4*b**2 + 5*b. Let z = 6 - 6. Suppose z = -3*y - 10 - 8. Let q(c) = -5*c**2 + 6*c. Let g(t) = y*u(t) + 5*q(t). Factor g(l).
-l**2
Let y(p) = -p**3 - 2*p**2 + 1. Let g(d) = 16*d**3 - 16*d**2 - 208*d - 236. Let h(c) = g(c) + 12*y(c). Find m such that h(m) = 0.
-2, 14
Let v be 38/57*(-15)/(-2). Suppose v*s - 23 = -3. Factor 0*a**2 - 3/7*a**s - 6/7*a + 3/7 + 6/7*a**3.
-3*(a - 1)**3*(a + 1)/7
Factor 78/5*s + 2/5*s**2 - 164/5.
2*(s - 2)*(s + 41)/5
Let y(m) be the first derivative of m**3/3 - m**2 - m + 6. Let q be y(9). Factor -62*v + 3*v**3 + q*v + v**2 + 2*v**4.
v**2*(v + 1)*(2*v + 1)
Let j be 5/((-175)/(-236)) - 102/(-119). Let -53/5*q**3 + 0 - 9/5*q**5 - 28/5*q**2 - j*q**4 - 4/5*q = 0. What is q?
-2, -1, -2/9, 0
Let c = 28 - -7. Suppose -12*p - 14*p**2 - 9*p**2 + c*p**2 + 36 - 11*p**2 = 0. Calculate p.
6
Let c(o) = 101*o + 1418. Let t be c(-14). Factor -32/7 - 66/7*d**2 - 2/7*d**t + 20/7*d**3 + 80/7*d.
-2*(d - 4)**2*(d - 1)**2/7
Factor 289 + 1/4*l**2 + 17*l.
(l + 34)**2/4
Let n(g) be the third derivative of -g**8/80640 + g**7/2520 - g**6/180 + g**5/30 + 16*g**2. Let v(t) be the third derivative of n(t). Factor v(y).
-(y - 4)**2/4
Suppose 8 = 2*b - 2. Determine q, given that -3*q - 2*q - 18*q**b + 10*q**3 + 0*q**3 + 13*q**5 = 0.
-1, 0, 1
Suppose 19*q = -23 + 308. Suppose 9*x - 51 = -q. Factor 0*l - 4/9*l**2 + 2/9*l**x + 0 - 2/9*l**3.
2*l**2*(l - 2)*(l + 1)/9
Let u(z) be the second derivative of 5*z**4/12 + 90*z**3 + 7290*z**2 - 253*z. Factor u(p).
5*(p + 54)**2
Let n(d) be the second derivative of 3/7*d**2 - 1/14*d**4 + 0 + 1/14*d**3 - 3/140*d**5 - 24*d. Factor n(u).
-3*(u - 1)*(u + 1)*(u + 2)/7
Factor 6*a + 38*a**2 - 115*a**3 + 47*a**3 + 81*a**3 + 43*a**3.
2*a*(4*a + 1)*(7*a + 3)
Let 32 - 12*l**2 - 3*l**3 - 975*l + 498*l + 486*l + 22 = 0. Calculate l.
-3, 2
Let r(t) be the second derivative of -t**5/80 + 3*t**4/16 - t**3 + 9*t**2/2 - 26*t. Let w(z) be the first derivative of r(z). Solve w(q) = 0.
2, 4
Let b(m) = -117*m**3 - 29*m**2 - 21*m - 1. Let t(o) = 11*o**3 + o. Let s(w) = 4*b(w) + 36*t(w). Solve s(y) = 0 for y.
-1, -1/2, -1/9
Factor -2/5*k**2 - 32/5 - 4*k.
-2*(k + 2)*(k + 8)/5
Let n(q) be the second derivative of 0*q**3 + 0 - 1/30*q**6 + 0*q**2 - 1/10*q**5 + 2*q - 1/12*q**4. Factor n(j).
-j**2*(j + 1)**2
Determine h so that 4*h**2 + 708 - 708 - 12*h = 0.
0, 3
Let u(c) be the second derivative of c**4/3 + 8*c**3/7 - 8*c**2/7 + c + 192. Factor u(f).
4*(f + 2)*(7*f - 2)/7
Let f(y) be the third derivative of y**8/1344 - y**7/210 - y**6/40 - y**5/120 + 11*y**4/96 + y**3/4 + 63*y**2. Factor f(h).
(h - 6)*(h - 1)*(h + 1)**3/4
Let a(r) be the second derivative of r**4/32 + 17*r**3/16 + 131*r. Factor a(m).
3*m*(m + 17)/8
Let f(x) be the second derivative of -27*x**5/20 + 11*x**4/4 - x**3 - 4*x - 12. Factor f(j).
-3*j*(j - 1)*(9*j - 2)
Suppose -2*m = 4*s - 0*s - 8, 5*m = -s + 11. Let x be (3 + 3)/(4/6). Factor -12*u**2 - 5*u + x*u**2 - 3*u**4 - s + 5*u**3 + 7*u**4.
(u - 1)*(u + 1)**2*(4*u + 1)
Suppose -62 + 46 = -4*r. Find m such that -3*m**4 + m**4 - 3*m**4 + 2*m**5 + m**r = 0.
0, 2
Let b be 0 + -1 + (2 - (0 + 1)). Suppose -2*n - 4*y = b, n + 3*y = -2*y. Find h, given that 4/3*h + n + 2/3*h**2 = 0.
-2, 0
Let h = 97 - 88. Suppose -2 = -s + 3*f, h = 5*s - 4*s + 4*f. Factor 0 + 10/3*t**2 - 6*t**3 + 14/3*t**4 - 4/3*t**s - 2/3*t.
-2*t*(t - 1)**3*(2*t - 1)/3
Let y = 25 - 34. Let o = 11 - y. Find n such that 9*n**4 - 10*n**4 + 36*n**5 - 10*n**4 + 8*n**2 - 13*n**4 - o*n**3 = 0.
-2/3, 0, 1/3, 1
Let n(v) be the second derivative of -v**4/90 - v**3/15 + 4*v**2/15 - 27*v. Determine s, given that n(s) = 0.
-4, 1
Factor 14*b**3 + 7*b**3 + 36*b**2 - 25*b**3 - 60*b + 28.
-4*(b - 7)*(b - 1)**2
Let w be 378/(-18)*(-2)/7 - -1. Let m(t) be the second derivative of 12*t + 0 - t**2 + 1/6*t**4 - 1/42*t**w + 1/5*t**5 + 0*t**6 - 1/2*t**3. Solve m(n) = 0.
-1, 1, 2
Let w(l) be the second derivative of l**5/90 + 5*l**4/18 + 14*l**3/27 - 6*l - 15. Determine q so that w(q) = 0.
-14, -1, 0
Let n(r) be the second derivative of -r**6/6 - 20*r**5 - 1000*r**4 - 80000*r**3/3 - 400000*r**2 - 9*r + 4. Find l, given that n(l) = 0.
-20
Let k(u) be the second derivative of -u**6/6 + 9*u**5/2 - 1215*u**3 + 32805*u**2/2 - 2*u - 78. Factor k(h).
-5*(h - 9)**3*(h + 9)
Let x(y) be the second derivative of 1/40*y**5 + 1/1