econd derivative of 1/48*s**4 + 0*s**2 + 0*s**3 + 0 + i*s. Solve o(v) = 0.
0
Factor 4*g**2 - 2*g + 6*g**2 - 5 - 5*g**4 + 11*g**3 - g**3 - 5*g**5 - 3*g.
-5*(g - 1)**2*(g + 1)**3
Let y = 797/15 + -53. Let n(p) be the first derivative of -1/3*p**2 - y*p**5 + 1/6*p**4 + 2/9*p**3 + 0*p + 1. Determine i, given that n(i) = 0.
-1, 0, 1
Suppose -3*l = -5*t + 16, -t + 1 = 5*l - 19. Let 3*k**2 + k + 4*k**4 + 3*k**2 - 2 + 3*k - 10*k**l - 2*k = 0. What is k?
-1/2, 1
Factor -2*n - 2 + 10 - 8*n - 3*n**2 + 8*n.
-(n + 2)*(3*n - 4)
Find r such that -1/2*r**2 - 3/8*r + 1/8 = 0.
-1, 1/4
Factor 2*w**4 - 14*w**4 - 5*w**5 - 10*w**5 + w**4 - 2*w**3.
-w**3*(3*w + 1)*(5*w + 2)
Suppose 4*x - 4 = 2*x. Solve 3*k - 2 + k - k**x - 2 = 0 for k.
2
Let k be (-1 - 0/1) + 13. Suppose -8 - k = -4*v. Factor 16*u**3 + 0*u + v*u**2 + 2 - 7*u - 3*u - u**2.
2*(u + 1)*(2*u - 1)*(4*u - 1)
Factor 3*k + 15*k**4 + 15*k**5 + 3*k + 21*k**2 + 27*k**3 - 12*k**5.
3*k*(k + 1)**3*(k + 2)
Suppose 4*g - 2*g + o - 3 = 0, -3*o + 6 = 5*g. Let i(c) be the first derivative of -2 + 2/15*c**5 + 0*c - 1/12*c**4 - 1/18*c**6 + 0*c**2 + 0*c**g. Factor i(f).
-f**3*(f - 1)**2/3
Let y be ((-1)/(-8))/((-7)/42*-3). Suppose 0*h**2 + 0*h + 0 + 0*h**3 - 1/4*h**5 + y*h**4 = 0. What is h?
0, 1
Let g(m) be the third derivative of -m**9/20160 + m**7/1680 + m**5/20 + 5*m**2. Let t(d) be the third derivative of g(d). Factor t(v).
-3*v*(v - 1)*(v + 1)
Let y(l) = l**3 + 6*l**2 - 6*l + 7. Let x be (0 + 21/9)*-3. Let u be y(x). What is z in u - 2/3*z**3 + 1/3*z**4 + 0*z + 2/3*z**5 - 1/3*z**2 = 0?
-1, -1/2, 0, 1
Let s(m) be the first derivative of 2/3*m**3 + 0*m - 1/540*m**6 - 3 + 0*m**2 + 1/180*m**5 + 0*m**4. Let u(b) be the third derivative of s(b). Factor u(p).
-2*p*(p - 1)/3
Factor -8/3 - 26/3*x**2 + 56/3*x.
-2*(x - 2)*(13*x - 2)/3
Solve 2*b**3 - 70/3*b**2 + 64*b + 24 = 0.
-1/3, 6
Let v = -100/621 - -2/27. Let t = v - -29/69. Solve -n + n**2 - 1/3*n**3 + t = 0.
1
Let n(j) be the first derivative of j**5/20 + 5*j**4/16 + 7*j**3/12 + 3*j**2/8 - 36. Factor n(l).
l*(l + 1)**2*(l + 3)/4
Let i be 2/(-6*(-2)/30). Let g(u) be the second derivative of 3*u + 49/80*u**i + 7/16*u**4 - u**3 + 0 + 1/2*u**2. Let g(d) = 0. What is d?
-1, 2/7
Factor -2*l**2 - 1/2*l**3 + 0 - 2*l.
-l*(l + 2)**2/2
Let m = -26 - -29. Suppose -m*j - 15 = 0, -1 = 3*d + j - 2. Suppose d*a + 8/5*a**2 + 2/5*a**3 + 4/5 = 0. What is a?
-2, -1
Let j(t) be the first derivative of t**7/210 - t**6/60 - t**5/60 + t**4/12 - 3*t**2/2 - 9. Let u(o) be the second derivative of j(o). Factor u(g).
g*(g - 2)*(g - 1)*(g + 1)
Let u be 2 + 3/(-1 - -4). Suppose -2*g**3 - 5*g**2 + 4*g**2 + 2*g**3 + g**u + g**4 - g = 0. Calculate g.
-1, 0, 1
Let g(m) = -m**3 + 8*m**2 - m + 12. Let a be g(8). Let w(x) be the first derivative of 0*x - 2 + 1/2*x**a + 0*x**2 + 2/3*x**3. Factor w(s).
2*s**2*(s + 1)
Let o(p) be the third derivative of p**5/300 + p**4/120 + 13*p**2. Let o(m) = 0. What is m?
-1, 0
Let n(f) be the third derivative of -f**6/60 + 2*f**5/15 - 5*f**4/12 + 2*f**3/3 - 8*f**2. Find m such that n(m) = 0.
1, 2
Let f(h) = 500*h**3. Let u be f(4). Factor 14146*s + 13 - 6263 - 12800*s**4 + 10854*s + 2266*s**5 - 218*s**5 - 40000*s**2 + u*s**3.
2*(4*s - 5)**5
Suppose 3*m + 3 = -18. Let y = m - -9. Determine n, given that 4*n**4 + 1 - 2*n**y - 3*n**4 + 0 = 0.
-1, 1
Let y = 8 + -2. Let a = -3 + y. Factor -3 - w + 2*w**2 + 1 + a*w - 2*w**3.
-2*(w - 1)**2*(w + 1)
Let d(m) be the first derivative of m**8/560 - 3*m**7/280 + m**6/40 - m**5/40 - 2*m**3/3 + 3. Let z(h) be the third derivative of d(h). Factor z(l).
3*l*(l - 1)**3
Let u(v) = 2*v**5 + 2*v**2. Let n(k) = -8*k**5 - k**4 - 9*k**2. Let o(x) = 2*n(x) + 9*u(x). Suppose o(b) = 0. Calculate b.
0, 1
Factor 3*i + 1/2*i**2 + 9/2.
(i + 3)**2/2
Let u(m) = -70*m**2 - 350*m - 475. Let i(t) = -5*t**2 - 25*t - 34. Let z(c) = 55*i(c) - 4*u(c). Determine w, given that z(w) = 0.
-3, -2
Let f(w) be the third derivative of -w**6/540 - w**5/270 + w**4/18 + 23*w**2. Solve f(l) = 0.
-3, 0, 2
Let z(a) be the third derivative of 0*a - 1/6*a**4 - 1/35*a**7 + 1/30*a**6 + 0*a**3 + 0 - 3*a**2 + 1/10*a**5. Suppose z(k) = 0. What is k?
-1, 0, 2/3, 1
Suppose 4*m = 4 + 12. Let d(i) be the second derivative of 0*i**2 + 0*i**6 + 1/3*i**3 + 1/21*i**7 + 0*i**m + 0 - 1/5*i**5 + 2*i. Factor d(c).
2*c*(c - 1)**2*(c + 1)**2
Suppose 0*y + 2*y - 20 = 0. Suppose -10*j + y*j - 4*j - 14*j**2 = 0. Calculate j.
-2/7, 0
Suppose -1/2*v**2 + 3/4 - 5/4*v = 0. What is v?
-3, 1/2
Let f = -6/37 - -61/148. Suppose 0 = 5*m - 4*p - 32, -5*m - 3*p = -3*m + 1. Find z, given that -1/2*z**3 + 1/2*z - f + 1/4*z**m + 0*z**2 = 0.
-1, 1
Let x(i) = i**3 + 4*i**2 - 3*i - 4. Let b be x(-4). Let c be (-1)/(-2*2/8). Factor b*o**c - o - 2*o**2 - 9*o**3 + 0*o.
-o*(3*o - 1)**2
Let v = -2 - -4. Factor -2 - t**3 + 3*t**3 + v*t**3 - 4*t + 2*t**4.
2*(t - 1)*(t + 1)**3
What is i in -2/3*i**2 + 0 - 8/3*i = 0?
-4, 0
Solve 18*a + 6 - 11*a - 3*a**2 - 10*a = 0 for a.
-2, 1
Let z(t) be the second derivative of -5*t + 0 + 1/10*t**5 + 5/3*t**3 - 2*t**2 - 2/3*t**4. Find s such that z(s) = 0.
1, 2
Let u(t) be the third derivative of -t**8/10080 + t**7/1260 - t**6/360 + t**5/30 + 3*t**2. Let s(h) be the third derivative of u(h). Solve s(m) = 0 for m.
1
Let q(f) = f**2 + f + 6. Let c be q(0). Suppose 26 = 4*s + c. Find z, given that -8*z**2 + 4*z**s - 6*z + 0*z**4 + 2*z**5 - 7*z**2 + 15*z**4 = 0.
-2, -1, -1/2, 0, 1
Suppose z + 0*z - 1 = 0. Let i be (-1)/(0 + 0 - z). Factor 6*n**2 - 4*n + n**4 + 4*n**3 + 2*n + 6*n + i.
(n + 1)**4
Suppose 5*a + 16 = 2*w, 3*w - 15 = 2*a + a. Let -11*i**3 - 2 + 9*i**w + 2 - 2*i**4 = 0. What is i?
-1, 0
Suppose -5 = -3*t + 4. What is q in -18*q**3 - 5*q + 6*q**4 + 3*q**t + 12*q**2 + 2*q = 0?
0, 1/2, 1
Let r(s) = s**2 + s - 1. Let b be r(2). Let c(y) be the third derivative of 0*y**4 + 0*y + 1/180*y**b - y**2 + 0 + 0*y**3. Determine q so that c(q) = 0.
0
Let v = 0 + 4. Suppose 10 = -2*h + v*h, 0 = 4*o - 2*h - 2. Factor 2/7*g**4 - 2/7*g**2 - 2/7*g**5 + 0*g + 2/7*g**o + 0.
-2*g**2*(g - 1)**2*(g + 1)/7
Let o(u) be the third derivative of u**5/240 - u**4/24 + u**3/6 - 10*u**2. Factor o(y).
(y - 2)**2/4
Let z(m) = 6*m**2 + 9*m - 2. Let c(h) = h. Let p(w) = -5*c(w) + z(w). Find l such that p(l) = 0.
-1, 1/3
Let m(o) = -40*o**2 + 66*o - 26. Let z(t) be the first derivative of -13*t**3/3 + 11*t**2 - 9*t - 3. Let v(u) = 5*m(u) - 14*z(u). Let v(a) = 0. What is a?
2/9, 1
Factor 0*b**2 + 0 + 0*b**4 + 4/5*b**3 - 2/5*b - 2/5*b**5.
-2*b*(b - 1)**2*(b + 1)**2/5
Let a(z) be the third derivative of -z**7/2520 + z**5/120 - z**4/12 - z**2. Let q(l) be the second derivative of a(l). Factor q(i).
-(i - 1)*(i + 1)
Let k(j) be the first derivative of 4*j**3/3 - 16*j**2 + 64*j + 9. Factor k(d).
4*(d - 4)**2
Let a = -80 + 82. Let p(o) be the second derivative of o + 0 + 0*o**a - 1/50*o**5 + 1/15*o**3 + 0*o**4. Find l, given that p(l) = 0.
-1, 0, 1
Find a such that -6/7*a**3 + 3/7*a**4 - 3/7*a**2 + 0 + 6/7*a = 0.
-1, 0, 1, 2
Let q = -14011/4 - -3472. Let g = q + 31. Factor -u**3 - 5/4*u + 2*u**2 + g.
-(u - 1)*(2*u - 1)**2/4
Let q be 20/15*1/4. Let k(s) be the second derivative of 0 + 0*s**2 - q*s**4 - 1/3*s**3 + s - 1/10*s**5. Find y such that k(y) = 0.
-1, 0
Let s be -2 + 3*(-86)/(-120). Let t(w) be the first derivative of 2 + 11/15*w**3 - s*w**4 - 4/5*w - 4/5*w**2. Factor t(j).
-(j - 2)**2*(3*j + 1)/5
Let t(y) be the third derivative of y**7/17640 + y**6/5040 + y**4/24 - 3*y**2. Let c(s) be the second derivative of t(s). Factor c(g).
g*(g + 1)/7
Let s be (3/6)/((-1)/(-4)). Find z, given that z + 2 - z + z**2 + s*z - 1 = 0.
-1
Let l(m) be the first derivative of -m**6/51 + m**4/17 - m**2/17 + 10. Determine f so that l(f) = 0.
-1, 0, 1
Let f(h) = -5*h - 13. Let u be f(-6). Solve -88*g**4 - 3*g + 102*g**3 - 2 + 10*g**4 + 8 - 65*g**2 + u*g**2 + 21*g**5 = 0 for g.
-2/7, 1
Let a(u) be the first derivative of 3*u**4/20 - 4*u**3/5 + 3*u**2/2 - 6*u/5 - 3. Suppose a(g) = 0. Calculate g.
1, 2
Let m(g) = -g**3 + g**2 - g - 1. Let q(b) = -4*b**3 - 13*b**2 - 3*b + 1. Let l(y) = 3*m(y) + 3*q(y). Factor l(s).
-3*s*(s + 2)*(5*s + 2)
Let x(o) be the second derivative of 0*o**3 - 1/10*o**5 + 1/2*o**2 + 2*o - 1/40*o**6 - 1/8*o**4 + 0. Let d(w) be the first derivative of x(w). Factor d(l).
-3*l*(l + 1)**2
Let h(l) be the first derivative of