5*(i - 1)*(i + 1)*(i + 10)
Let v(o) = 4*o**5 - o**4 + o**3 + o**2 - o. Let p(y) = 11*y**5 - 17*y**4 - 25*y**3 + 53*y**2 + 22*y - 36. Let u(j) = -p(j) + 2*v(j). Solve u(a) = 0 for a.
-2, -1, 1, 6
Let u(b) = -46 - 3*b**3 + 6*b**4 + 0*b**4 - 146*b + 3*b**3 - 134*b**2. Let x(i) = -i**4 + 27*i**2 + 29*i + 9. Let j(n) = 3*u(n) + 14*x(n). Factor j(f).
4*(f - 3)*(f + 1)**3
Let z(d) be the third derivative of 1/60*d**4 + 0*d + 0 - 2/5*d**3 - 34*d**2 + 1/300*d**6 + 2/75*d**5. Let z(x) = 0. Calculate x.
-3, -2, 1
Let i(k) be the third derivative of k**8/4032 - k**7/336 - 4*k**5/15 + 16*k**2. Let o(r) be the third derivative of i(r). Let o(d) = 0. What is d?
0, 3
Let a be 1763/574 - 5/2. Factor 0 + 16/7*b**2 - a*b**3 - 16/7*b.
-4*b*(b - 2)**2/7
Determine x so that 372*x + 4*x**5 - 29*x**4 - x**5 - 426*x**2 + 19465 + 219*x**3 - 19*x**4 - 19585 = 0.
1, 2, 10
Let j(p) be the first derivative of -p**3/3 + p**2/2 - p - 42. Let i(o) = -3*o**2 + 3*o + 4. Let h(w) = -i(w) + 2*j(w). Find r such that h(r) = 0.
-2, 3
Let c = 1634 + -1629. Suppose 1/2*d + 1/2*d**c + 1 - d**3 - 2*d**2 + d**4 = 0. Calculate d.
-2, -1, 1
Factor -146*f - 98 + 714 + 1645 + 3068 + f**2.
(f - 73)**2
Let a be (-3)/2*(-14)/21. Let u(b) = 2*b**5 - b**4 - 2*b**3 + 4*b**2 + 3*b - 3. Let y(f) = f**5 - f**3 + f**2 + f - 1. Let m(l) = a*u(l) - 3*y(l). Factor m(h).
-h**2*(h - 1)*(h + 1)**2
Let b = -19 - -46. Suppose 2*s - b = -17. Factor 1/3*h - 1/3*h**s + 2/3*h**2 - 2/3*h**4 + 0 + 0*h**3.
-h*(h - 1)*(h + 1)**3/3
Let j(o) be the first derivative of -7*o**4/2 + 8*o**3 + 4*o**2 + 137. Solve j(k) = 0 for k.
-2/7, 0, 2
Let m(j) be the third derivative of -j**7/105 - j**6/60 + j**5/6 - j**4/4 - 158*j**2. Let m(f) = 0. What is f?
-3, 0, 1
Suppose 3*g + 210 - 66 = 0. Let b = g - -50. Suppose 6/5*r**3 - 2*r**b + 2/5 + 2/5*r = 0. Calculate r.
-1/3, 1
Let r be (2 + 1)*44/33. Let n(s) be the second derivative of -3/2*s**2 + s**3 - 3/10*s**5 + 0 + 3*s + 0*s**r + 1/10*s**6. Factor n(a).
3*(a - 1)**3*(a + 1)
Let s be (11 + -10)/(1/4). Solve -x**3 - 14*x**2 + 6*x**2 + 2 + 5*x**2 - 2*x**4 + x + 3*x**s = 0 for x.
-1, 1, 2
Suppose -27*b = -26*b - 3. Suppose 5*s - 14 = y - 3*y, 3*s = b*y. Factor 9/5*x**3 + 0 - 7/5*x**4 + 2/5*x**5 - x**y + 1/5*x.
x*(x - 1)**3*(2*x - 1)/5
Let t(c) be the second derivative of 0*c**2 + 1/3*c**3 + 0 - 8/15*c**6 + 2*c**5 - 2*c - 17/12*c**4. What is o in t(o) = 0?
0, 1/4, 2
Let c be (12/(-84))/((-4)/24). Let 0 + 0*p + 0*p**2 + 9/7*p**4 - 3/7*p**5 - c*p**3 = 0. What is p?
0, 1, 2
Let j(q) be the first derivative of -2*q**2 + 0*q + 1/2*q**4 + 21 - 2/3*q**3. Factor j(s).
2*s*(s - 2)*(s + 1)
Suppose 6*s - 66 = -5*s. Let y(c) be the third derivative of -4*c**2 - 1/420*c**s + 0*c + 0 + 0*c**5 + 0*c**4 + 0*c**3. Find g such that y(g) = 0.
0
Let k(g) be the first derivative of -6/5*g**2 - 3/10*g**4 + 12 + 13/15*g**3 + 4/5*g + 1/25*g**5. Solve k(n) = 0.
1, 2
Let f(h) = 34 + 16*h + 9*h - 11*h. Let r(n) = n**2 - 13*n - 35. Let a(c) = 6*f(c) + 4*r(c). Factor a(s).
4*(s + 4)**2
Let j(d) be the third derivative of -d**8/336 + 23*d**7/210 - 47*d**6/60 - 43*d**5/6 - 481*d**4/24 - 169*d**3/6 + 2*d**2 + 4. Find v, given that j(v) = 0.
-1, 13
Let r(f) be the third derivative of -1/8*f**3 + 0 + 0*f + 12*f**2 + 1/240*f**5 - 1/48*f**4. Factor r(o).
(o - 3)*(o + 1)/4
Let o(f) = 15*f - 103. Let i be o(7). Determine t so that 2/3*t**3 + 2*t**2 + i*t + 2/3 = 0.
-1
Let q = -20 - -32. Factor -20*g + q*g**2 - 24*g**2 + 16 + 16*g**2.
4*(g - 4)*(g - 1)
Suppose 2*a - 11 = -19. Let x be (a/16)/(18/(-48)). Let 0 - x*d**4 + 0*d - 2*d**2 - 8/3*d**3 = 0. Calculate d.
-3, -1, 0
Let p(w) be the second derivative of w**6/90 + w**5/60 - w**4/36 - w**3/18 + 127*w. Factor p(x).
x*(x - 1)*(x + 1)**2/3
Let p(r) be the third derivative of r**6/30 - 6*r**5/5 + 18*r**4 - 144*r**3 + r**2 + 9*r. Suppose p(q) = 0. What is q?
6
Let b = 58 + -93. Let y = b - -107/3. Let -4/3 - y*z**2 + 2*z = 0. What is z?
1, 2
Suppose 0 = -26*c + 98 + 58. Let u(m) be the second derivative of -1/80*m**5 + 0*m**2 + 1/24*m**3 + 0 + 1/120*m**c - 1/48*m**4 - 2*m. Factor u(k).
k*(k - 1)**2*(k + 1)/4
Let x = 48 - 46. Let q(t) = t**3 - 3*t**2 + 3*t. Let v be q(x). Factor w + 1/4*w**3 - w**v + 0.
w*(w - 2)**2/4
Factor 0 + 3/4*k**2 + 9/2*k.
3*k*(k + 6)/4
Let h = -577/132 + 49/11. Let c(n) be the first derivative of 5 + h*n**4 - 2/3*n + 5/6*n**2 - 4/9*n**3. What is i in c(i) = 0?
1, 2
Let j(s) = 2*s**3 - 16*s**2 - 6*s - 12. Let d(z) = -2*z**3 + 15*z**2 + 7*z + 10. Let i(q) = -6*d(q) - 5*j(q). Factor i(n).
2*n*(n - 6)*(n + 1)
Let k(a) = -58*a**3 + 46*a**2 - 36*a - 8. Let p(s) = 51*s**3 - 46*s**2 + 37*s + 7. Let b(t) = -7*k(t) - 8*p(t). Factor b(r).
-2*r*(r - 22)*(r - 1)
Let l(j) = -j**2 - 5*j + 2. Let m be l(-5). Factor -15*u**3 - 41*u**2 + 36*u**m - 15*u**4 - 7*u**5 + 2*u**5.
-5*u**2*(u + 1)**3
Suppose q + 16 = 21. Let v(s) be the first derivative of -4/7*s**2 + 2/35*s**q + 6 + 0*s - 5/14*s**4 + 16/21*s**3. Determine x so that v(x) = 0.
0, 1, 2
Let 592/3*w + 160/3 - 148/3*w**3 + 24*w**2 - 28/3*w**4 = 0. What is w?
-5, -2, -2/7, 2
Let q(t) be the third derivative of 7*t**6/540 + 2*t**5/45 - t**4/27 - 5*t**2 + 8*t. Factor q(s).
2*s*(s + 2)*(7*s - 2)/9
Let d(v) be the second derivative of v**5/330 - v**4/44 + 3*v**2 - 11*v. Let z(u) be the first derivative of d(u). Factor z(h).
2*h*(h - 3)/11
Let y(d) = -d**2 + 10*d - 9. Let a(q) be the third derivative of -q**5/60 + 3*q**4/8 - 4*q**3/3 - 9*q**2. Let c(b) = -4*a(b) + 3*y(b). Solve c(h) = 0.
1, 5
Let m(x) = -10*x**3 - 119*x**2 - 149*x + 80. Let n(h) = -30*h**3 - 356*h**2 - 448*h + 240. Let b(j) = -8*m(j) + 3*n(j). Factor b(c).
-2*(c + 2)*(c + 10)*(5*c - 2)
Let d(u) be the second derivative of -1/4*u**5 - 5/3*u**4 + 0*u**2 + 28*u - 10/3*u**3 + 0. Solve d(c) = 0.
-2, 0
Factor 28/5*l + 24/5*l**2 + 4/5.
4*(l + 1)*(6*l + 1)/5
Let 5*n**5 + 27*n - 43*n - 52*n**2 - 29*n + 2*n**2 + 28*n**3 + 50*n**4 + 12*n**3 = 0. Calculate n.
-9, -1, 0, 1
Let g be 15/21 - -27*(-2)/126. Factor -8/7*c - 8/7 - g*c**2.
-2*(c + 2)**2/7
Let b(q) be the first derivative of -2*q**5/65 + 12*q**4/13 + 34*q**3/13 + 2*q**2 - 91. Factor b(f).
-2*f*(f - 26)*(f + 1)**2/13
Determine s, given that -8/7*s**2 + 0*s - 2/7*s**3 + 0 = 0.
-4, 0
Let d be 26/65 + 206/10. Let z = 23 - d. Factor z*n**2 + 2 - 7*n + 5*n + 6*n.
2*(n + 1)**2
Find s such that -12 - 7*s**3 + 2*s**3 + 19427*s**2 - 44*s - 19464*s**2 = 0.
-6, -1, -2/5
Let h(g) be the third derivative of g**7/150 + 37*g**6/600 + 59*g**5/300 + 7*g**4/24 + g**3/5 - 10*g**2 - 3*g. Find l, given that h(l) = 0.
-3, -1, -2/7
Let d = -7 + 9. Let w be 21/d + (23 - 29). Let w - 12*j + 8*j**2 = 0. Calculate j.
3/4
Factor -20/11*g**2 - 16/11 + 34/11*g + 2/11*g**3.
2*(g - 8)*(g - 1)**2/11
Let d(g) be the second derivative of -1/21*g**7 + 2/15*g**6 - 1/10*g**5 + 0 + 0*g**3 + 0*g**4 + 17*g + 0*g**2. Solve d(a) = 0.
0, 1
Let y(i) be the first derivative of -1/10*i**2 + 1/25*i**5 + 2/5*i + 1/20*i**4 - 1/5*i**3 + 33. Solve y(m) = 0 for m.
-2, -1, 1
Let f(g) be the third derivative of -g**6/420 + g**5/30 - 2*g**4/21 - 16*g**3/21 + 13*g**2 - 2*g. Factor f(p).
-2*(p - 4)**2*(p + 1)/7
Let z(b) be the second derivative of b**7/13860 - b**6/792 + b**5/110 - 11*b**4/12 - b**3/6 - b - 1. Let f(n) be the third derivative of z(n). Factor f(y).
2*(y - 3)*(y - 2)/11
Let f(q) be the first derivative of 7*q**8/600 + q**7/75 + q**6/225 + 10*q**3/3 - 9. Let y(b) be the third derivative of f(b). Factor y(i).
2*i**2*(7*i + 2)**2/5
Suppose -477 = -5*c - 4*c. Let s = 72 - 24. Let s*j**2 - c*j**2 + 2*j + 8*j = 0. Calculate j.
0, 2
Let l = 37469/1155 + -227/7. Let c = l - -26/33. Factor 8/5*n**2 - 8/5 + c*n**3 - 4/5*n.
4*(n - 1)*(n + 1)*(n + 2)/5
Let f be 2/(-5) - (-336)/40. Find q, given that 2*q**4 + q**2 - 8*q - 5*q**2 + 2*q**4 + f*q**3 = 0.
-2, -1, 0, 1
Let t = 1259/273 + 5/91. Factor 4/3*k**2 - t*k**3 + 0*k + 0 - 8/3*k**4.
-2*k**2*(k + 2)*(4*k - 1)/3
Let o(m) be the first derivative of -m**6/27 + 8*m**5/45 - m**4/6 + 531. Find f, given that o(f) = 0.
0, 1, 3
Let l(q) be the first derivative of -16/5*q + 1/10*q**4 - 4/5*q**2 - 10 + 4/15*q**3. Determine s so that l(s) = 0.
-2, 2
Factor 4/9*v**4 - 8/9*v**3 - 16/9*v + 0 - 28/9*v**2.
4*v*(v - 4)*(v + 1)**2/9
Let f(o) = -o**2 + 16*o + 2. Let z be f(16). Factor -3*l**3 + 2*l**z - l**3 + 4*l**4 - 10*l**2.