derivative of 14*j**7/15 + 14*j**6/15 + 4*j**5/15 - 7*j**2 + 1. Factor w(k).
4*k**2*(7*k + 2)**2
Let m(v) be the third derivative of -1/6*v**4 + 1/15*v**5 + 0*v - 1/105*v**7 - 10*v**2 - 1/336*v**8 + 1/40*v**6 + 0*v**3 + 0. Factor m(l).
-l*(l - 1)**2*(l + 2)**2
Let l(v) = v**3 - v**2 - 1. Let u(c) = -8*c**3 - 12*c**2 + 23. Suppose 4*t - 8 = -12. Let h(n) = t*u(n) - 3*l(n). Factor h(q).
5*(q - 1)*(q + 2)**2
Let x(d) = -d + 5. Let w be x(-3). Suppose 17 = 5*c - w. Suppose 0*b - b**c + 0*b + b + 0*b**5 - 2*b**2 + 2*b**4 = 0. What is b?
-1, 0, 1
Let j(s) be the second derivative of -5/12*s**4 + 5/3*s**3 + 0 + 0*s**2 - 14*s - 1/4*s**5. Factor j(y).
-5*y*(y - 1)*(y + 2)
What is v in 3/7*v**5 + 0 - 2*v**4 + 5/7*v + 2*v**2 - 8/7*v**3 = 0?
-1, -1/3, 0, 1, 5
Suppose -18*l = -3*l + 36*l - 11*l. Factor 1/8*g + l - 1/8*g**2.
-g*(g - 1)/8
Let r(k) be the second derivative of -1/30*k**4 + 0 - 8/15*k**3 - 29*k + 0*k**2. Factor r(x).
-2*x*(x + 8)/5
Let d(p) be the second derivative of p**6/255 + 3*p**5/170 - p**4/51 - 4*p**3/17 - 8*p**2/17 + 2*p - 18. What is r in d(r) = 0?
-2, -1, 2
Let a be -2 + 2 + (-2)/(-12). Let g be (-2 + (-308)/(-112))/(27/12). Find v such that -1/2*v**5 + a*v**4 + v**3 - 1/2*v + 1/6 - g*v**2 = 0.
-1, 1/3, 1
Let k(i) be the third derivative of 0 + 0*i + 0*i**5 + 0*i**4 + 1/945*i**7 - 25*i**2 + 0*i**3 - 1/540*i**6. Let k(f) = 0. Calculate f.
0, 1
What is q in -106*q - 46*q + 357 - 88*q - 3*q**3 - 87*q**2 - 513 = 0?
-26, -2, -1
Let d(p) = 5*p - 2. Let f be d(1). Let k(i) be the third derivative of 0*i**4 - 1/30*i**5 + 0 + 0*i - i**2 + 0*i**f. Factor k(a).
-2*a**2
Let u be (3/(-1) + 1)/(95/(-95)). Factor 4/15*d - 2/15 + 2/5*d**u.
2*(d + 1)*(3*d - 1)/15
Let f = -61750 + 432286/7. Factor 162/7 + 2/7*v**2 - f*v.
2*(v - 9)**2/7
Suppose -5*q = 3*q - 24. Suppose 3*z**q - 35*z**2 + 10*z - 7*z**3 + 24*z**3 + 5 = 0. Calculate z.
-1/4, 1
Let k be (-6)/(-2) - ((-62484)/(-3178))/6. Let w = 2/227 - k. Factor -2/7*c**2 + 2/7 + w*c**3 - 2/7*c.
2*(c - 1)**2*(c + 1)/7
Let j(g) be the third derivative of -g**6/180 + g**5/45 + 35*g**2 - 4. Solve j(a) = 0 for a.
0, 2
Let h(b) = b**4 + 6*b**3 + 16*b**2 - 5. Let i be (88 - 2) + -3 + 4 + -2. Let k(a) = 15*a**4 + 85*a**3 + 225*a**2 - 70. Let y(r) = i*h(r) - 6*k(r). Factor y(g).
-5*(g - 1)**2*(g + 1)**2
Let f(u) = 8*u**5 - 8*u**4 - 14*u**3 + 8*u**2 + u - 5. Let w(t) = -t**5 + t**4 + t**3 - t**2 + t + 1. Let j(a) = -f(a) - 5*w(a). Let j(q) = 0. Calculate q.
-1, 0, 1, 2
Suppose 160*y + 164*y - 316*y - 24 = 0. Let 9/4*o**4 - 15/4*o**2 - 3/2*o**5 + 15/4*o**y - 9/4*o + 3/2 = 0. What is o?
-1, 1/2, 1, 2
Let a(q) = -q**4 + q**2 - q. Let p = 50 + -51. Let m(u) = -3*u**4 + 20*u**3 - 37*u**2 + 29*u - 8. Let s(b) = p*m(b) - a(b). Factor s(o).
4*(o - 2)*(o - 1)**3
Find o such that 177*o**3 - 182*o**3 - 8 - 43*o - 40*o**2 - 22 - 22*o = 0.
-6, -1
Let k(q) be the third derivative of 3/80*q**6 - 9*q**2 + 1/32*q**8 + 0 + 0*q**4 + 0*q - 1/20*q**5 + 3/35*q**7 + 0*q**3. Factor k(f).
3*f**2*(f + 1)**2*(7*f - 2)/2
Factor -6591*m**2 + 2*m**5 + 2*m**5 + 1521*m**3 + 4*m**5 - 117*m**4 - 5*m**5.
3*m**2*(m - 13)**3
Let n(d) be the first derivative of d**6/720 - d**5/80 + d**4/24 - 4*d**3/3 - 47. Let i(r) be the third derivative of n(r). Factor i(o).
(o - 2)*(o - 1)/2
Let p(s) be the first derivative of -4*s**3 - 5*s**2 - 14*s + 6. Let h(d) = d**2 + d + 1. Let r(u) = 28*h(u) + 2*p(u). Determine m so that r(m) = 0.
-2, 0
Factor 7*s**2 + 137*s + s**4 - 67*s - 67*s + 5*s**3.
s*(s + 1)**2*(s + 3)
Let p be 153/(-210) - (-4)/5. Let t(v) be the first derivative of 1/7*v**2 - 5 + 0*v + 4/21*v**3 + p*v**4. Factor t(c).
2*c*(c + 1)**2/7
Suppose -5*q + 22 = 4*w, -7 = -3*w - 3*q + 8. Let v(s) be the second derivative of -1/36*s**4 - 3*s + 0*s**2 + 0 - 1/18*s**w. Determine o, given that v(o) = 0.
-1, 0
Let q(z) be the first derivative of 5*z**3/3 - 35*z**2/2 + 50*z - 10. Factor q(m).
5*(m - 5)*(m - 2)
Let s(u) be the first derivative of 3/2*u**3 + 0*u - 81/8*u**2 - 27 - 1/16*u**4. Factor s(m).
-m*(m - 9)**2/4
Let v = 186 - 184. Suppose -15*o = v*o - 51. Factor -1/4*d**2 + 1/4*d**o + 0 + 0*d.
d**2*(d - 1)/4
Let b = 22/345 - -5436/115. Let f = b + -47. Find c, given that -f*c**3 + 1/3*c**4 + 0*c + 0 + 0*c**2 = 0.
0, 1
Let l(v) be the second derivative of -2*v**7/189 - v**6/9 - 19*v**5/45 - 11*v**4/18 + 4*v**3/27 + 4*v**2/3 - 2*v + 42. Let l(h) = 0. Calculate h.
-3, -2, -1, 1/2
Let w(a) = a**3 + 7*a**2 + 2*a + 83. Let x be w(-8). Let v(y) be the third derivative of 0*y + 6*y**2 + 1/40*y**5 + 0 - 3/16*y**4 + 1/2*y**x. Factor v(k).
3*(k - 2)*(k - 1)/2
Factor 0*d + d**4 + 0 + 1/5*d**5 + 0*d**2 + 6/5*d**3.
d**3*(d + 2)*(d + 3)/5
Let q(j) = 3*j**5 + 7*j**4 - 104*j**3 + 320*j**2 - 384*j + 159. Let v(l) = l**5 + l**4 - 1. Let m(g) = 2*q(g) - 2*v(g). Let m(b) = 0. Calculate b.
-10, 1, 2
Factor 100*a**3 - 12 + 3*a**4 + 12*a + 9*a**2 + 0*a**4 - 112*a**3.
3*(a - 2)**2*(a - 1)*(a + 1)
Let z be 7/5 + 9/15. Let h = -6 - -14. Factor 36*c**3 + 25*c**2 + h*c + 4*c**5 + 5*c**2 - z*c**2 + 20*c**4.
4*c*(c + 1)**3*(c + 2)
Let v(h) = -h**2 - 5*h + 4. Let m(l) = 2*l**2 + l - 1. Let b(p) = -5*m(p) - 5*v(p). Suppose b(t) = 0. What is t?
1, 3
Let m(g) be the first derivative of 16/3*g**3 - 20*g**2 + 1 + 25*g. Factor m(q).
(4*q - 5)**2
Let h = -1705/14 + 1311/7. Let n = 67 - h. Let 0 - n*m**3 - 9/4*m**4 + 0*m + 3/4*m**2 = 0. What is m?
-1, 0, 1/3
Factor 20/7 - 1/7*o + 1/7*o**3 - 20/7*o**2.
(o - 20)*(o - 1)*(o + 1)/7
Let u(t) be the second derivative of t**7/1260 - 23*t**3/6 + 16*t. Let b(x) be the second derivative of u(x). Suppose b(z) = 0. What is z?
0
Let l(b) be the second derivative of b**6/30 - 4*b**5/15 + 2*b**4/3 - 4*b**2 + 23*b. Let k(y) be the first derivative of l(y). Factor k(a).
4*a*(a - 2)**2
Suppose 3*q + q + 3*x - 30 = 0, 0 = 3*x - 6. Suppose 0 = -3*l + 3 + q. Determine n, given that 5*n**l - 4*n**3 - n + 0 + 0 = 0.
-1, 0, 1
Let x = -26 - -28. Suppose 2*l + x = 3*l. Factor 4*h + 3 + 5 + 0 - 4*h**l.
-4*(h - 2)*(h + 1)
Let -8/3 - 2/3*a**4 + 8/3*a - 10/3*a**3 + 10/3*a**2 + 2/3*a**5 = 0. Calculate a.
-2, -1, 1, 2
Let i(g) = 2*g**3 + 14*g**2 - g + 9. Let s be i(-7). Let p be 2/s + (-78)/(-16). What is v in v**4 - 7*v**4 + 2*v + 6*v - 2*v**p - 2*v**3 + 6*v**2 - 4*v = 0?
-2, -1, 0, 1
Let n(t) be the first derivative of t**5/70 - 2*t**4/21 + t**3/7 + 20*t + 21. Let g(d) be the first derivative of n(d). Let g(v) = 0. What is v?
0, 1, 3
Let q(k) = 15*k + 1. Let m be q(2). Suppose 4*v - 16 = c + 9, c = 5*v - m. Let -v*i**4 - 3*i + 11*i**2 - 33*i**2 + i + 4 - 22*i**3 = 0. What is i?
-2, -1, 1/3
Let l(w) = -4*w - 21. Let g be l(10). Let z be g/(-2) + (-2)/(-4). Factor z*s - 14*s + s**2 - 17*s.
s**2
Let j(l) be the third derivative of l**7/210 - l**6/120 - l**5/30 + 173*l**2 - 1. What is w in j(w) = 0?
-1, 0, 2
Find u, given that -14*u**2 - 3/4*u**3 - 16 - 33*u = 0.
-16, -2, -2/3
Let p(y) be the first derivative of -4/3*y - 1/9*y**3 - 4 - 2/3*y**2. Suppose p(z) = 0. What is z?
-2
Suppose 0 = -2*o + 6, -o + 0 - 6 = -3*c. Suppose -c*d + 11 - 5 = 0. Find t such that 3*t**5 + 6*t**3 + t**2 + 9*t**4 - 2*t**3 + 5*t**3 + d*t**2 = 0.
-1, 0
Let u(r) be the second derivative of -r**4/12 + r**3/10 - 9*r + 14. Find n such that u(n) = 0.
0, 3/5
Let l be 24/(-20)*(-10)/60. Let r(i) be the first derivative of 0*i**3 + 0*i - 1/10*i**4 + l*i**2 - 4. Factor r(m).
-2*m*(m - 1)*(m + 1)/5
Suppose 4 + 0 = 2*g. Let q be (-4)/(8/g)*-4. Suppose 24*b**3 - 12*b - 12*b**5 + 3*b**2 - 4*b**4 + 2*b**4 - 9*b**2 + 5*b**q + 3 = 0. Calculate b.
-1, 1/4, 1
Find z, given that -10/13*z - 18/13*z**2 + 0 - 6/13*z**3 + 2/13*z**4 = 0.
-1, 0, 5
Let n(x) be the first derivative of -3*x**4/28 + 17*x**3/7 - 27*x**2/2 - 243*x/7 + 97. What is o in n(o) = 0?
-1, 9
Let t = 38741/52 + -745. Let d(z) be the third derivative of -1/390*z**5 + 0*z - 2*z**2 + 0*z**3 + 0 + t*z**4. Factor d(g).
-2*g*(g - 3)/13
Let j(o) = -o**2 + 2*o + 4. Let f(g) = -2*g**2 + 5*g + 8. Let w(p) = -6*f(p) + 15*j(p). Determine h, given that w(h) = 0.
-2, 2
Let b(s) be the third derivative of s**7/560 - 3*s**6/320 - 3*s**5/160 + 7*s**4/64 + 3*s**3/8 - 50*s**2. Let b(d) = 0. Calculate d.
-1, 2, 3
Let u(k) = -131*k - 343 - 3*k + 14*k + 218 + 35*k**2. Let a(q) = -5*q**2 + 17*q + 18. Let s(w) = -15*a(w) - 2*u(w). Factor s(l).
5*(l - 4)*(l + 1)
Let a be 2/6 - 22