07/2. Let a(s) be the third derivative of 0*s**3 - s**2 - z*s**5 + 0*s + 0 - 1/108*s**4. Let a(u) = 0. What is u?
-1, 0
Let s(b) = -b**2 + 13*b - 4. Let i be s(13). Let d be (2 + 7)*i/(-8). Factor -1/2 - d*m**2 - 3*m.
-(3*m + 1)**2/2
Let m = 81/40 - -9/40. Factor 3/2*o - m - 1/4*o**2.
-(o - 3)**2/4
Let x(q) be the second derivative of 1/12*q**3 + 0*q**2 + 0 - 2*q + 1/12*q**4 - 1/30*q**6 - 1/84*q**7 + 0*q**5. Factor x(t).
-t*(t - 1)*(t + 1)**3/2
Let q be -3 + (-7)/21 + 4. Factor q + 14/3*r**2 - 16/3*r.
2*(r - 1)*(7*r - 1)/3
Suppose -t - 7 = -9. Let w = t - 0. Factor 0 - 2/5*v**3 - 2/5*v**w + 2/5*v + 2/5*v**4.
2*v*(v - 1)**2*(v + 1)/5
Let g(z) be the first derivative of z**7/42 + z**6/15 - z**4/6 - z**3/6 + 7*z - 6. Let i(l) be the first derivative of g(l). Factor i(m).
m*(m - 1)*(m + 1)**3
Let x(s) = -s - 5. Let r be x(-5). Let p = 0 - -3. Suppose -2*q**2 + q + p*q**2 + r*q = 0. What is q?
-1, 0
Let v = 7 + -4. Factor -2 - 2*s**4 - 7*s**v - 4*s**3 + 15*s**3 - 2*s**5 - 2*s + 4*s**2.
-2*(s - 1)**2*(s + 1)**3
Let l be (-4)/5*(0 - 10). Find o, given that 2*o**3 + o**5 + o**5 - 4*o**2 - 7*o**4 - o**4 + l*o**3 = 0.
0, 1, 2
Let m = -14 + 7. Let f(q) = -q**3 - 8*q**2 - 8*q - 5. Let j be f(m). Factor s**3 - 3*s + s**2 + s**4 - 2*s**2 + j*s.
s*(s - 1)*(s + 1)**2
Suppose -4*c + 9 = -31. Let t be 2 + 18/c + -3. Factor 0 - t*u**2 + 2/5*u**3 + 2/5*u.
2*u*(u - 1)**2/5
Let c be 6/(-15) - 27/(-5). Suppose d**4 - 5*d**3 + 3*d**3 - 4*d**5 + 5*d**c = 0. What is d?
-2, 0, 1
Factor -305*x**4 - 146*x**3 - 6*x**2 + 113*x**4 + 444 - 72*x**5 - 446 + 18*x.
-2*(x + 1)**3*(6*x - 1)**2
Let h(u) be the first derivative of 2*u**3/15 + 2*u**2/5 - 2. Factor h(g).
2*g*(g + 2)/5
Let t be 1/(-1)*(-5 - 0). Suppose -4*p - 2*d + 14 = 0, 3*d + 2*d = -t. Factor q**2 - q**3 - p*q**2 - 2*q**3 - q**4 - q.
-q*(q + 1)**3
Suppose 0 = 2*v + 2*v - 16. Factor -j**v - 2*j**5 - j**3 + j**3.
-j**4*(2*j + 1)
Let f(c) be the third derivative of c**7/105 - c**6/30 - 2*c**5/15 + c**4/6 + c**3 - 5*c**2. Factor f(h).
2*(h - 3)*(h - 1)*(h + 1)**2
Let x(w) = 5*w**4 + 3*w**3 - 2*w - 2. Let f(t) = -6*t**4 - 3*t**3 + 3*t + 3. Let g(o) = -2*f(o) - 3*x(o). Solve g(h) = 0.
-1, 0
Let n = 2/2693 - 24271/45781. Let x = -1/34 - n. Let 0*p + 0 + 0*p**2 - x*p**3 = 0. What is p?
0
Factor -3*h**3 - 28/3 - 17*h**2 + 80/3*h.
-(h + 7)*(3*h - 2)**2/3
Let g(j) be the second derivative of j**6/10 + 3*j**5/20 + 3*j. Suppose g(k) = 0. What is k?
-1, 0
Suppose 0*r = -3*r. Suppose r = -4*c - 3*k + 24, -2*c = c + k - 13. Factor 2*f + 2*f**3 - 3*f**c - f.
-f*(f - 1)*(f + 1)
Let x = -10 - -16. Suppose 3*m + l = -5, 2*m + x = -l + 1. Factor -2/7*a**2 + m + 0*a + 2/7*a**3.
2*a**2*(a - 1)/7
Let s(r) = r**3 + 9*r**2 - 9*r - 1. Let v(q) = 3*q - 1. Let k be v(3). Let a(b) = 8 + 8*b - k*b**2 - 8. Let d(g) = -3*a(g) - 2*s(g). Factor d(w).
-2*(w - 1)**3
Factor 1/2*i**3 - 2*i + i**2 - 4.
(i - 2)*(i + 2)**2/2
Let v = 2089/11 + -189. Factor v*z + 18/11*z**3 - 4/11 + 32/11*z**2.
2*(z + 1)**2*(9*z - 2)/11
Let s(q) = -4*q**2 - 3*q + 1. Let k(i) = i**2 + i. Let f(y) = 24*k(y) + 3*s(y). Factor f(v).
3*(v + 1)*(4*v + 1)
Let k(m) = -2*m. Let s be k(-6). Suppose s = 3*r, -v - r - 6 = -3*r. Suppose 2*j - 12*j**4 + 2 + j**2 + j**2 - 26*j**3 - 7*j**2 - 9*j**v = 0. Calculate j.
-1, -1/2, 1/3
Let l(z) be the second derivative of z**6/360 - z**4/24 - z**3/6 - 3*z. Let y(c) be the second derivative of l(c). Factor y(p).
(p - 1)*(p + 1)
Let z(b) be the third derivative of -b**7/840 - b**6/480 + 3*b**5/80 - 11*b**4/96 + b**3/6 + 23*b**2. Factor z(r).
-(r - 1)**3*(r + 4)/4
Let k(p) be the third derivative of -p**6/2340 + p**5/390 + p**3 - 7*p**2. Let o(s) be the first derivative of k(s). Factor o(v).
-2*v*(v - 2)/13
Let -14*s**2 + 6*s**3 + 2*s**4 + 17*s + 36 + 6*s - 53*s = 0. What is s?
-3, 1, 2
Let a(g) = 3*g**3 - 3*g**2 - 6*g - 3. Let y(t) = -6*t**3 + 5*t**2 + 13*t + 7. Let s(d) = 5*a(d) + 3*y(d). Factor s(q).
-3*(q - 2)*(q + 1)**2
Let i(g) be the third derivative of -g**7/735 + 19*g**6/420 - 3*g**5/5 + 27*g**4/7 - 72*g**3/7 - 13*g**2. Factor i(j).
-2*(j - 6)**3*(j - 1)/7
Determine p, given that 7/2*p**2 + 4 + 1/2*p**3 + 7*p = 0.
-4, -2, -1
Let z(h) be the second derivative of 1/60*h**5 + 1/18*h**4 + 0*h**2 + 0 + 1/18*h**3 + 3*h. Let z(s) = 0. What is s?
-1, 0
Let f be -13 - -10 - 86/(-26). Let g = 1/39 + f. Factor -2/3*b + 1/3 + g*b**2.
(b - 1)**2/3
Factor 0 + 2/13*x**3 - 2/13*x**2 - 4/13*x.
2*x*(x - 2)*(x + 1)/13
Let c(a) = 4*a**2 - 18*a + 2. Let i(y) be the second derivative of -y**4 + 55*y**3/6 - 7*y**2/2 - 9*y. Let g(r) = -7*c(r) - 2*i(r). What is h in g(h) = 0?
0, 4
Let w(l) be the first derivative of l**6/1440 + l**3/3 - 1. Let p(b) be the third derivative of w(b). Factor p(v).
v**2/4
Let h(r) be the third derivative of r**6/840 + r**5/70 + 3*r**4/56 + 5*r**2. Determine x, given that h(x) = 0.
-3, 0
Let r(z) = -4*z**4 - 11*z**3 - 18*z**2 - 25*z - 8. Let g(o) = -o**4 - o**3 + o**2 - o. Let y(k) = 3*g(k) - r(k). Let y(i) = 0. Calculate i.
-4, -2, -1
Let h(j) be the first derivative of -2*j**3/57 + 8*j/19 + 55. Factor h(g).
-2*(g - 2)*(g + 2)/19
Let w = 17/40 + 3/40. Factor -u + w*u**2 + 0.
u*(u - 2)/2
Let l(u) be the first derivative of u**5/30 + u**4/6 - 3*u**2/2 - 2. Let j(g) be the second derivative of l(g). Factor j(y).
2*y*(y + 2)
Let f = 83/46 - 30/23. Let -f + 1/4*b**2 + 1/4*b = 0. Calculate b.
-2, 1
Let l(d) be the first derivative of -d**6/60 + 2*d**5/25 - d**4/40 - d**3/3 + d**2/5 + 4*d/5 + 65. Factor l(v).
-(v - 2)**3*(v + 1)**2/10
Let c(g) = -g**2 - 12*g - 16. Let p be c(-11). Let u = p - -7. Factor 2/5 - 2/5*a**3 + 6/5*a**u - 6/5*a.
-2*(a - 1)**3/5
Let s(k) be the first derivative of 2 + 0*k**3 - 1/2*k**4 - 4*k + 3*k**2. Factor s(u).
-2*(u - 1)**2*(u + 2)
Let a(o) be the first derivative of 0*o**3 + 0*o**2 - 1/9*o**4 + 2/5*o**5 + 0*o - 7/27*o**6 + 4. Let a(g) = 0. Calculate g.
0, 2/7, 1
Suppose b = 4*t + 4, 4*t = 4*b - 2*b - 4. Let j(v) be the third derivative of 0*v**3 - 1/40*v**4 - 3*v**2 + 1/100*v**5 + b*v + 0. Find f such that j(f) = 0.
0, 1
Suppose 3*p - 5 = -y, 3*y + 4*p = -0*p + 10. Let u = 10 - 5. Suppose -m**4 - 3*m**3 - 7*m**2 - u*m + 4*m**y + 4*m = 0. Calculate m.
-1, 0
Let v(d) = -2*d**2 + 4*d - 1. Let g(k) = -5 + 4 + 3*k + k**2 - 3*k + k. Let t(a) = g(a) - v(a). Factor t(w).
3*w*(w - 1)
Let j(l) be the third derivative of l**7/735 + l**6/84 + 4*l**5/105 + l**4/21 + 8*l**2. Factor j(k).
2*k*(k + 1)*(k + 2)**2/7
Suppose -h + 3*h + 6 = -5*b, h + 3 = -5*b. Let m be 4/6 + b/(-2). Find q, given that -1/3*q**3 + 0 - m*q**2 - 1/3*q = 0.
-1, 0
Let p = 167/165 + -7/33. Determine h, given that -2/5 - p*h**3 + 0*h**2 + 2/5*h**4 + 4/5*h = 0.
-1, 1
Determine h so that 16*h**2 - 19*h**2 - 3*h**3 + 1 - 1 = 0.
-1, 0
Let i(j) = 5*j**4 + 12*j**3 - 12*j - 3. Let s(l) = -l**3 + l - 1. Let r(z) = i(z) + 2*s(z). Determine y, given that r(y) = 0.
-1, 1
Let h(a) be the third derivative of a**8/84 + 4*a**7/105 - a**6/10 - 8*a**5/15 - 2*a**4/3 - 33*a**2. Factor h(l).
4*l*(l - 2)*(l + 1)**2*(l + 2)
Let s = -7 + 3. Let g = s + 7. Solve -4 + 32*w**2 - g*w - 6*w - 18*w**3 - w = 0.
-2/9, 1
Let s(r) = 3*r**2 - 3*r - 2. Let k(m) = 24*m**2 - 24*m - 15. Let o(i) = 4*k(i) - 33*s(i). Factor o(j).
-3*(j - 2)*(j + 1)
Factor 2*y**2 - 14/9*y + 4/9 + 2/9*y**4 - 10/9*y**3.
2*(y - 2)*(y - 1)**3/9
Suppose 2/7*l**4 + 10/7*l**3 - 8/7 - 10/7*l + 6/7*l**2 = 0. What is l?
-4, -1, 1
Let q(t) be the first derivative of -1/27*t**6 + 0*t**2 + 0*t**4 + 0*t + 2/45*t**5 + 4 + 0*t**3. Suppose q(r) = 0. Calculate r.
0, 1
Suppose 2*w - 3*r - 13 = 0, 3*w + 2*w + r = 41. Let -3 + 7 + 2 + 17*m + w*m**3 - 16*m**4 - 4 + 39*m**2 = 0. What is m?
-1, -1/4, 2
Let a = 1/111 - -12/37. What is c in a*c**2 + 1/3 + 2/3*c = 0?
-1
Let v(a) be the third derivative of -1/24*a**4 + 0*a**3 + 0*a + a**2 + 1/120*a**5 + 0. Factor v(x).
x*(x - 2)/2
Let a = 3/320 + 117/320. Let w(f) be the second derivative of a*f**4 + 1/12*f**3 + 11/40*f**5 + 1/15*f**6 + 0 - 1/4*f**2 - 3*f. Factor w(m).
(m + 1)**3*(4*m - 1)/2
Factor 0*p**2 + 0 + 0*p + 2/5*p**5 + 0*p**4 - 2/5*p**3.
2*p**3*(p - 1)*(p + 1)/5
Let j(y) = -y - 1. Let u be j(-3). Factor 6*w**4 + 6*w**4 - w**2 - u*w**3 - 13*w**4.
-w**2*(w + 1)**2
Suppose 1 - 16 = -5*o. Let u be (1 - (o + -2))/(-1). Determine x, given that 1/3*x + u + 1/3*x**3 + 2/3*x**2 = 0.
-1, 0
