= 0. Calculate f.
-2/7, 2/9
Let r = 4487 - 4484. Let u(d) be the first derivative of 3/28*d**4 - 6/7*d**2 - 17 + 0*d**r + 0*d. Factor u(a).
3*a*(a - 2)*(a + 2)/7
Let k = -1003 - -603. Let m be (54/30)/((-660)/k). Let 2/11*g**3 - m*g**2 + 0 + 10/11*g = 0. What is g?
0, 1, 5
Let w(z) be the first derivative of 227 - 35/6*z**3 - 9/16*z**4 - 16*z**2 + 8*z. Factor w(f).
-(f + 4)**2*(9*f - 2)/4
Let a(m) be the second derivative of -m**3/6 - m**2/2 - 21*m. Let i be a(-5). Factor -2*f**3 - f**4 - 10*f**i - 9*f**4 + 22*f**3 + 5*f**5.
5*f**3*(f - 2)**2
Let l(s) be the first derivative of -s**4/16 + 9*s**3/4 - 23*s**2/2 - 2880. Factor l(i).
-i*(i - 23)*(i - 4)/4
Let a(f) be the first derivative of -1/24*f**4 - 1/4*f**3 - 7 + 33/2*f**2 - 1/360*f**5 + 0*f. Let r(l) be the second derivative of a(l). Factor r(k).
-(k + 3)**2/6
Let t(z) = -19*z + 219. Let b be t(12). Let k(l) = 7*l**2 + 14*l + 8. Let h(f) = -15*f**2 - 27*f - 18. Let o(c) = b*k(c) - 4*h(c). Factor o(a).
-3*a*(a + 6)
Let x(l) = 41*l - 46. Let r(v) = -21*v + 23. Let w(j) = -7*r(j) - 4*x(j). Let o be w(-11). Factor -324*n**2 + o*n + 35*n + 98*n - 192 + 89*n + 81*n**3.
3*(3*n - 4)**3
Let x(y) be the first derivative of 67 - 5/3*y**6 + 17*y**5 - 125/2*y**4 - 95*y**2 + 325/3*y**3 + 40*y. Suppose x(o) = 0. What is o?
1/2, 1, 2, 4
Let o be (-16)/28*(-1260)/432. Factor -65/3*q**2 + 0 - 20/3*q - 25*q**3 - 35/3*q**4 - o*q**5.
-5*q*(q + 1)**3*(q + 4)/3
Let o(y) be the second derivative of -41/4*y**5 + 0 - 62*y + 6860*y**2 - 1/6*y**6 - 5390/3*y**3 - 455/2*y**4. Factor o(j).
-5*(j - 1)*(j + 14)**3
Let o(g) be the first derivative of 1445/2*g + 5/6*g**3 + 32 - 85/2*g**2. Factor o(h).
5*(h - 17)**2/2
Let l(a) = -3312*a - 16557. Let u be l(-5). Find y, given that -5/3*y**u + 1/3 - 3/4*y**4 + 5/3*y + 5/12*y**2 = 0.
-2, -1, -2/9, 1
Let f(d) be the third derivative of d**5/15 + 323*d**4/3 + 208658*d**3/3 - 307*d**2. Factor f(z).
4*(z + 323)**2
Let 188*g**2 - 65*g**2 + 869 - 60*g**2 - 1108*g - 59*g**2 + 235 = 0. What is g?
1, 276
Let n(k) = k**3 + k**2 + k + 1. Let c(b) = 3*b**3 + 4*b**2 + 3*b + 2. Suppose 19*j = -28 - 10. Let z(m) = j*n(m) + c(m). Factor z(o).
o*(o + 1)**2
Let g(k) be the second derivative of -18*k**3 - 2*k - 1/10*k**6 - 7*k**4 - 27/20*k**5 - 24*k**2 - 21. Suppose g(w) = 0. What is w?
-4, -2, -1
Let v be (-726)/99*15/2. Let y be (-49)/14*-2 + v/8. Determine l so that -y*l**2 - 1/4 + 3/8*l = 0.
1, 2
Let y = 855109 - 855109. Find j such that -10/7*j**4 + y - 24/7*j + 8*j**2 + 2*j**3 = 0.
-2, 0, 2/5, 3
Let d(p) = -16*p - 15 - 15*p + 12 - 18 - 10*p**2. Let b(c) = -2*c**2 - 6*c - 4. Let z(l) = -11*b(l) + 2*d(l). Factor z(w).
2*(w + 1)**2
Let -123/7*j**2 + 9/7*j**4 - 30/7*j**3 - 36/7 - 120/7*j = 0. Calculate j.
-1, -2/3, 6
Let s(v) = -3*v**3 + 118*v**2 + 297*v + 169. Let w(q) = -q**2 - q - 1. Let u(y) = -3*s(y) + 21*w(y). Factor u(m).
3*(m - 44)*(m + 1)*(3*m + 4)
Suppose -4*a = -6 - 10, -5*a + 19 = -c. Let s be c - 3 - (-26 + 6/2). Solve 6*z**2 + 10 + 2*z - 3*z - s*z**2 + 6*z = 0 for z.
-2/3, 1
Let g(z) = -z**3 - 15*z**2 + 17*z + 19. Let m be g(-16). Factor 39*f**m - 2*f - 119*f**3 + 62*f**3 - 20*f**2.
-2*f*(f + 1)*(9*f + 1)
Let x be 9*3/9 + -1. Determine w, given that 30*w - 34*w - 10*w**2 + 11*w**x = 0.
0, 4
Let j = -6960093/8 + 870012. Solve 3/2 + 3/8*f**3 + 9/8*f**4 + 0*f - 21/8*f**2 - j*f**5 = 0 for f.
-1, 1, 2
Let u(h) be the second derivative of h**7/14 + 9*h**6/10 + 21*h**5/10 - 210*h + 4. Factor u(k).
3*k**3*(k + 2)*(k + 7)
Let p(m) be the first derivative of -16/15*m**3 + 0*m + 1/20*m**4 + 17 + 0*m**2. Factor p(n).
n**2*(n - 16)/5
Suppose -5*b = -749 + 144. Suppose -3*f + b = -41. Solve -12*c**4 + 2*c**4 - 3*c**5 - 60*c**2 - 8*c - f*c**3 - 11*c**4 - 16*c = 0 for c.
-2, -1, 0
Let r = -1561 + 1563. Let x(h) = -h - 1. Let v be x(-3). Factor -4 + 14*d**v - 23*d**2 + 2*d + 11*d**r.
2*(d - 1)*(d + 2)
Let f(r) = 23*r**2 + 1. Let d be f(-1). Factor d*n**2 + 2*n - 6*n**3 + 6*n**2 + n**3 - 47*n.
-5*n*(n - 3)**2
Suppose s - 17 = 4*n, -s + 0*s - 2*n = 1. Let 1559*b**2 - 17*b**3 - 1547*b**2 + 5*b**3 - 63*b**s - 87*b**4 = 0. Calculate b.
-1, -2/3, 0, 2/7
Let a = -22966 + 183463/8. Let v = a - -271/8. Let 0*r + 3/4*r**2 - v = 0. What is r?
-1, 1
Let g(x) = 144*x - 573. Let a be (-3*2/(-1))/(93/62). Let k be g(a). Find o such that 15/2*o**5 + 9/2*o**4 - 6 + 3/2*o**2 + 18*o - 51/2*o**k = 0.
-2, -1, 2/5, 1
Let u(y) be the first derivative of 17/5*y**4 - 26/25*y**5 - 162/5*y + 116 - 99/5*y**2 + 4*y**3 + 1/15*y**6. Let u(b) = 0. Calculate b.
-1, 3, 9
Factor -147/5*o + 146/5 + 1/5*o**2.
(o - 146)*(o - 1)/5
Suppose 5*f - 389 = -v - 367, f = 2*v - 11. What is u in 26/9*u**2 - 2/9*u**f - 70/9*u - 98/9 = 0?
-1, 7
Determine r, given that 0 - 30*r + 25/3*r**3 + 1/3*r**5 - 17/3*r**4 + 27*r**2 = 0.
-2, 0, 1, 3, 15
Suppose 0 = 18*q - 19*q - 2*d - 3, -4*q = 2*d - 6. Factor -265*c**q + 264*c**3 + 4*c**4 - 6*c**4 + 5*c**5 - 2*c**4.
c**3*(c - 1)*(5*c + 1)
Let i be (-2)/((4/10)/(-1*10/25)). What is j in -338/5 + 52/5*j - 2/5*j**i = 0?
13
Suppose 4*o - 2*r = 104, 10*o + 88 = 13*o - 4*r. Suppose -o = -12*s - 0. Factor 0*w - 4/7*w**s + 16/7*w**4 + 12/7*w**3 + 0.
4*w**2*(w + 1)*(4*w - 1)/7
Suppose -95 = -5*i - 5*f, -2*i - f = -0*i - 41. Suppose 6*n = -5*n + i. Determine c, given that -5*c**5 - 5*c**3 + 200*c**4 - 190*c**4 - c**n + c**2 = 0.
0, 1
Let s be 12/(-15) + (-5)/(100/(-17)). Let p(o) be the third derivative of 0 + 1/120*o**6 - 5/6*o**3 - 3/8*o**4 - 10*o**2 + 0*o - s*o**5. Factor p(x).
(x - 5)*(x + 1)**2
Let d(p) = 11*p**2 + 6*p - 6. Let f = -53 + 98. Let b(w) = -14*w + f*w - 15*w + 10*w**2 - 11*w - 5. Let g(l) = 6*b(l) - 5*d(l). Factor g(a).
5*a**2
Find a such that -6*a + 208/7 + 2/7*a**2 = 0.
8, 13
Let l = -79166 - -79170. Determine v, given that 0*v + 1/10*v**l + 0 + 1/10*v**3 + 0*v**2 = 0.
-1, 0
Let l = 201 + -196. Let u(p) = 4*p**2 + p. Let n(s) = -7*s**2 - 5*s. Let a(k) = l*u(k) + 3*n(k). Factor a(t).
-t*(t + 10)
Solve 2/5*k**5 - 2016*k - 10654/5*k**2 + 286/5*k**4 + 10078/5*k**3 + 10368/5 = 0.
-72, -1, 1
Let l(f) be the first derivative of f**6/600 + 7*f**5/300 + f**4/10 - 5*f**2/2 - 5*f - 64. Let a(u) be the second derivative of l(u). Factor a(y).
y*(y + 3)*(y + 4)/5
Let l(v) be the second derivative of 5*v**7/42 + v**6 - 47*v**5/4 - 115*v**4 - 560*v**3/3 - 2*v - 6388. Determine d, given that l(d) = 0.
-8, -4, -1, 0, 7
Let f = -259 + 261. Factor -18*h**2 - 230*h + 251*h + 3*h**3 - 6*h**f.
3*h*(h - 7)*(h - 1)
Suppose 37 = 5*m - 22*a + 24*a, -23 = -4*m + 5*a. Suppose m*o - 128 + 114 = 0. Factor 1/5*f**3 + 5 + 3*f - 9/5*f**o.
(f - 5)**2*(f + 1)/5
Suppose 0 = -12*y + 31*y + 26*y. Let q(z) be the second derivative of -1/15*z**6 - 3/10*z**5 + 0 + 2/3*z**4 + y*z**2 - 5*z + 0*z**3. Factor q(t).
-2*t**2*(t - 1)*(t + 4)
Suppose -39*y + 815 = -901. Suppose y*x - 5*x = 0. Factor -7/2*z - 4*z**2 + x - 1/2*z**3.
-z*(z + 1)*(z + 7)/2
Let k(c) be the first derivative of c**3/21 - 25*c**2/7 + 141*c/7 + 1438. Factor k(m).
(m - 47)*(m - 3)/7
Let y = 99993/124985 - 1/24997. Factor y + 26/5*m + 18/5*m**3 + 8*m**2.
2*(m + 1)**2*(9*m + 2)/5
Let k(w) = -34*w + 92. Let v be k(5). Let h be (-117)/v + 3/(-2). Find d such that 0*d**2 - 2/5*d**5 + 0*d + h*d**4 + 2/5*d**3 + 0 = 0.
-1, 0, 1
Let m = -10367/3 - -3457. Let v(j) be the first derivative of 10 + 64*j + 16*j**2 + m*j**3. Solve v(b) = 0.
-4
Let f(m) be the second derivative of -m**5/110 - 13*m**4/22 - 25*m**3/11 - 37*m**2/11 + 1977*m. Determine l so that f(l) = 0.
-37, -1
Let i be ((-1)/10)/(1/246). Let m = -171/10 - i. Factor 6 + 18*v + m*v**2.
3*(v + 2)*(5*v + 2)/2
Let 671*x**3 + 2 + 19*x**4 - 2 - 25*x**4 + 102*x**2 - 872*x**3 = 0. What is x?
-34, 0, 1/2
Let s(u) be the first derivative of 8*u**4/9 - 16*u**3/9 - 5*u**2/3 + 50*u/9 - 929. Factor s(z).
2*(z + 1)*(4*z - 5)**2/9
Let o be 7140/3332*(-14)/(-17). Solve 56/17*i**5 - o*i**4 - 164/17*i**3 - 22/17*i**2 - 8/17 + 48/17*i = 0 for i.
-1, 1/4, 2/7, 2
Let y(l) = 8*l**2 + 46*l. Let w be (-2)/(-2)*1*(-70)/10. Let a(k) = 26*k**2 + 137*k. Let u(t) = w*y(t) + 2*a(t). Factor u(v).
-4*v*(v + 12)
Let m(f) be the second derivative of 0*f**2 + f + 25/4*f**4 + 9*f**3 - 1/10*f**6 + 14 + 9/10*f**5. Factor m(y).
-3*y*(y - 9)*(y + 1)*(y + 2)
Let x(w) = 14*w + 101. Let g be x(-7). Let y(s) be the second derivative of 0*s**2 + 1/30*s**g - 1/60*s**4 