of -b**7/1260 + b**6/360 + b**4/12 - 3*b. Let v(k) be the third derivative of n(k). Factor v(w).
-2*w*(w - 1)
Let l(t) = -t**2 + 15*t - 11. Let h be l(14). Let x be 81/105 - h/(-7). Factor 14/5*k**4 + 6/5*k**3 + x*k**5 - 6/5*k**2 - 4/5*k + 0.
2*k*(k + 1)**3*(3*k - 2)/5
Let t(v) be the second derivative of -2*v**7/105 - 4*v**6/75 + 11*v**5/100 + 13*v**4/60 - 8*v**3/15 + 2*v**2/5 - 2*v. Let t(u) = 0. Calculate u.
-2, 1/2, 1
Let r(g) be the third derivative of -g**5/420 + 5*g**4/84 - 3*g**3/14 - 40*g**2. What is p in r(p) = 0?
1, 9
Let j(w) = 3*w**2 - 3*w - 2. Let a be j(-2). Suppose -2*n - a = -50. Solve n*v + 6*v - 9*v - 4 + 18*v**2 = 0 for v.
-1, 2/9
Let i be 2/(0 - (-2)/4). Let g(c) be the first derivative of 2*c**3 + 2 - 2*c**2 + 0*c - 1/2*c**i. Find f such that g(f) = 0.
0, 1, 2
Let n(f) be the first derivative of -f**6/27 - 4*f**5/45 + f**4/6 + 16*f**3/27 + 4*f**2/9 + 9. Solve n(l) = 0 for l.
-2, -1, 0, 2
What is g in -1/3*g + 0 + 1/3*g**2 = 0?
0, 1
Let d = -136 - -138. Let s(v) be the third derivative of -1/8*v**4 + 0*v + 0*v**3 + 1/112*v**8 + 1/10*v**5 - 1/35*v**7 + 0*v**6 + 0 - 2*v**d. Factor s(a).
3*a*(a - 1)**3*(a + 1)
Let v = 52 - 52. Let s(f) be the first derivative of 0*f + 4 + 0*f**2 + 1/16*f**4 + v*f**3. Factor s(x).
x**3/4
Let q be 48/408 - 2/17. Let -2/5*r**2 + q + 0*r = 0. What is r?
0
Let -2*m**2 + 3*m + 4 + 4*m**2 + 2*m**2 - 5*m**2 = 0. Calculate m.
-1, 4
Let y(z) = z**3 + 17*z**2 + 18*z + 32. Let d be y(-16). Factor 9/2*a**2 + d - 3/2*a**3 - 3*a.
-3*a*(a - 2)*(a - 1)/2
Let l(o) = o**3 + 2*o**2 - 3*o + 3. Let h be l(-3). Let c(x) be the third derivative of 0*x**h + 0 - 1/30*x**5 + 1/12*x**4 - x**2 + 0*x. Factor c(d).
-2*d*(d - 1)
Factor -2*k**3 + 4 + 3 + 2*k - 3 + 0 - 4*k**2.
-2*(k - 1)*(k + 1)*(k + 2)
Let w be 1 + (3 + -3 - -1) + -2. Find z, given that 1/6*z**3 + 0*z + 1/6*z**5 + 0*z**2 - 1/3*z**4 + w = 0.
0, 1
Let n(m) be the third derivative of -m**5/480 - m**4/64 + m**3/12 + 5*m**2. Factor n(r).
-(r - 1)*(r + 4)/8
Let f = 33 + -95/3. Factor -2/3*q**3 + 0*q + 0 - f*q**5 - 7/3*q**4 + 1/3*q**2.
-q**2*(q + 1)**2*(4*q - 1)/3
Let n(w) be the third derivative of 0*w - w**2 - 1/240*w**5 + 1/12*w**3 + 0 + 1/96*w**4. Factor n(f).
-(f - 2)*(f + 1)/4
Let h(y) be the second derivative of -3*y**4/4 - 2*y**3 - 3*y**2/2 - 23*y. Factor h(g).
-3*(g + 1)*(3*g + 1)
Let c(o) = 2*o - 52. Let x be c(26). Factor 1/4*d**3 + 1/4*d + x + 1/2*d**2.
d*(d + 1)**2/4
Let b be (-6)/(-2160)*3/4. Let k(w) be the third derivative of -2*w**2 + 0 + 1/96*w**4 - 1/12*w**3 + 1/120*w**5 + 0*w - b*w**6. Factor k(m).
-(m - 2)*(m - 1)*(m + 1)/4
Let k = 32 - 32. Factor k - 1/2*g**2 + 1/4*g**5 + 0*g**4 + 0*g - 3/4*g**3.
g**2*(g - 2)*(g + 1)**2/4
Let o = 37/58 + -4/29. Let s = 1 - o. Factor -d**2 + 0 - s*d - 1/2*d**3.
-d*(d + 1)**2/2
Let v(k) be the third derivative of 4*k**2 + 1/15*k**3 + 1/15*k**5 - 8/1575*k**7 + 0 + 0*k - 17/180*k**4 - 1/75*k**6. Factor v(t).
-2*(t + 3)*(2*t - 1)**3/15
Let f(a) = -a**3 - 5*a**2 + 2*a + 10. Let r be f(-5). Solve r*d - 1/3*d**2 + 0 + 1/3*d**3 = 0 for d.
0, 1
Suppose 0 = 5*v + 22 - 37. Let d(w) be the first derivative of 0*w - 3 + 0*w**2 + 3/16*w**4 + 1/4*w**v. Find y such that d(y) = 0.
-1, 0
Let t(d) be the second derivative of -d**5/40 + d**4/4 - d**3 + 2*d**2 + 4*d. What is p in t(p) = 0?
2
Let x(o) be the second derivative of -3*o**5/100 + 9*o**4/20 + 48*o + 2. Factor x(c).
-3*c**2*(c - 9)/5
Let q(v) be the first derivative of -3*v**4/7 + 44*v**3/21 - 24*v**2/7 + 16*v/7 + 3. Factor q(i).
-4*(i - 2)*(i - 1)*(3*i - 2)/7
Suppose 21/4*s - 3/4 - 9/2*s**2 = 0. What is s?
1/6, 1
Let l(m) = 51*m**3 - 10*m**2 - 11. Let j(n) = 26*n**3 - 5*n**2 - 6. Let o(i) = 11*j(i) - 6*l(i). Suppose o(v) = 0. What is v?
0, 1/4
Let y = -25 - -25. Let c(d) be the third derivative of 1/180*d**5 + 2*d**2 - 1/72*d**4 + y*d + 0 - 1/18*d**3 + 1/360*d**6. Let c(h) = 0. Calculate h.
-1, 1
Suppose 4*t = -3*d + 2 + 13, -4*t = 2*d - 14. Factor 2*h**2 + 1 + 3*h**3 - 5*h**3 + 3*h + h**2 + t*h**3.
(h + 1)**3
Let u be (-41)/70 + (-2)/(-4). Let c = 239/70 - u. Let 0 - c*w**3 + 3/2*w**4 - 1/2*w + 5/2*w**2 = 0. Calculate w.
0, 1/3, 1
Let k(f) be the third derivative of -5*f**6/24 + f**5/4 + 5*f**4/12 + 13*f**2. What is q in k(q) = 0?
-2/5, 0, 1
Let z be 2*(2 + ((-4)/(-16) - 2)). Let p be (12/16)/((-3)/(-2)). Find v such that 0*v - z*v**3 + p*v**2 + 0 = 0.
0, 1
Let r be (3/(-2))/(162/(-36)). Factor -7/3*y - 3*y**3 - 5*y**2 - r.
-(y + 1)*(3*y + 1)**2/3
Let x(k) be the third derivative of 1/180*k**6 + 0*k + 3*k**2 + 5/36*k**4 - 2/9*k**3 + 2/15*k**5 + 0 - 4/315*k**7. Let x(g) = 0. What is g?
-1, 1/4, 2
Let o(v) be the first derivative of -2*v**5/35 - 5*v**4/14 - 16*v**3/21 - 4*v**2/7 + 26. Let o(z) = 0. What is z?
-2, -1, 0
Let v(p) be the second derivative of p**4/30 + p**3/15 + 6*p. Find t such that v(t) = 0.
-1, 0
Let a = 0 + 2. Factor -6 + 14*n + n + 5*n + 18*n**a - 8*n**3.
-2*(n - 3)*(n + 1)*(4*n - 1)
Suppose 15*w - 66 = -7*w. Factor -27/4*q**4 + 9/2*q**3 + 0 + w*q**5 + 0*q - 3/4*q**2.
3*q**2*(q - 1)**2*(4*q - 1)/4
Let x(f) be the third derivative of -f**7/2520 + f**5/120 + f**4/4 + 2*f**2. Let c(n) be the second derivative of x(n). Factor c(r).
-(r - 1)*(r + 1)
Let m(y) be the second derivative of -y**5/90 + y**4/9 - 4*y**3/9 - y**2 + 3*y. Let b(a) be the first derivative of m(a). Let b(z) = 0. What is z?
2
Solve -1/5*g + 0 - 3/5*g**2 = 0 for g.
-1/3, 0
Let b be 21/6*(-12)/(-21). Factor -1/7*s**b - 1/7*s**3 + 0 + 0*s.
-s**2*(s + 1)/7
Let q(h) = -h - 3. Suppose -2*m - 15 = m. Let s be q(m). Find i such that -4*i + 0*i + 25*i**4 - 16*i**2 - s*i**3 - 3*i**3 = 0.
-2/5, 0, 1
Determine l, given that -4*l - l**2 - l**2 + 3*l + 3*l**2 = 0.
0, 1
Let g be (-2)/9 + (-2156)/(-2736). Let q = g - 6/19. Factor -1/4*h**2 - q + 1/2*h.
-(h - 1)**2/4
Let t = 1 - -1. Let l = 45 - 179/4. Let l*o + 0 - 1/4*o**t = 0. Calculate o.
0, 1
Let c = -74 + 224/3. Let b be (0 + 0/(-1))/(-2). Factor -c*z + b + 1/3*z**2.
z*(z - 2)/3
Let b be 4/(3 - 4/2). Suppose -v - b = -3*v. Factor 3 + j**2 + v*j + j**3 - 4 - 3*j.
(j - 1)*(j + 1)**2
Let d be (15/(-175))/((-8)/80). Determine z so that 6/7*z**2 + 9/7*z - d = 0.
-2, 1/2
Let r be 6/(-5)*10/(-4). Suppose 4*d**2 + 3*d**3 - d**4 + 0*d**r + d - 4*d**2 - 3*d**2 = 0. Calculate d.
0, 1
Let k(s) be the third derivative of s**8/2688 - s**7/1680 - s**6/960 + s**5/480 + 2*s**2 + 7. Factor k(m).
m**2*(m - 1)**2*(m + 1)/8
Let f be (65/(-26))/(15/(-3)). Suppose -f*j**3 - 2*j**2 - 5/2*j - 1 = 0. What is j?
-2, -1
Let j(a) be the first derivative of -a**6/1080 + a**4/72 - a**3 - 4. Let k(n) be the third derivative of j(n). Factor k(s).
-(s - 1)*(s + 1)/3
Let t(x) = x**2. Let l(n) = 6*n**2 - 3*n - 2. Let k(s) = -2*l(s) + 14*t(s). Let k(y) = 0. Calculate y.
-2, -1
Let c(l) = -3*l**5 + 21*l**4 - 29*l**3 - 85*l**2 + 96*l. Let o(s) = s**5 - 7*s**4 + 10*s**3 + 28*s**2 - 32*s. Let b(w) = 4*c(w) + 11*o(w). Factor b(z).
-z*(z - 4)**2*(z - 1)*(z + 2)
Let r(o) = o. Let p(a) = 2*a**2 - 9*a + 20. Let s(q) = p(q) - 5*r(q). Solve s(f) = 0.
2, 5
Let m(o) be the third derivative of o**6/480 + o**5/240 - o**4/24 - o**3/6 + 38*o**2. Suppose m(z) = 0. What is z?
-2, -1, 2
Let q be (-3)/2 - 88/(-48). Let z(n) be the second derivative of -n + 1/3*n**3 + 0*n**2 - q*n**4 + 1/10*n**5 + 0. Find b such that z(b) = 0.
0, 1
Solve 0 + 7/2*f**3 + 0*f + 5/2*f**4 - 2*f**5 - f**2 = 0 for f.
-1, 0, 1/4, 2
Let p(d) be the third derivative of -125*d**8/336 - 55*d**7/42 + d**6/3 + 58*d**5/15 + 14*d**4/3 + 8*d**3/3 - 9*d**2. Solve p(r) = 0.
-2, -2/5, 1
Let k = 281/2 + -6322/45. Let j(n) be the third derivative of 0*n + 0*n**3 + 0 - 3*n**2 - k*n**5 - 1/360*n**6 - 1/72*n**4. Factor j(g).
-g*(g + 1)**2/3
Factor -5/2*w + 25/4 + 1/4*w**2.
(w - 5)**2/4
Suppose v = 5*x + 14, v - 10 = 4*x + 2. What is b in -3*b**v - 18*b**3 - 18*b - 36*b**2 - 10*b + 4*b = 0?
-2, 0
Let o(a) = -3*a + 35. Let x(y) = -y + 12. Let r(l) = -4*o(l) + 11*x(l). Let h be r(12). Let 1/3*i**h + 0 - 1/3*i**2 - 1/3*i**3 + 1/3*i = 0. Calculate i.
-1, 0, 1
Let i(k) = k**3 - 13*k**2 + 4. Suppose 0 = -2*d - 10, f - 6 + 3 = -2*d. Let b be i(f). Factor -7/5*l + 2/5 + 1/5*l**5 - 2/5*l**b - 2/5*l**3 + 8/5*l**2.
(l - 1)**4*(l + 2)/5
Let n(f) be the first derivative of f**4/10 + 2*f**3/5 + 2*f**2/5 + 5. Factor n(a).
2*a*(a + 1)*(a + 2)/5
Let t(y) = -y**2