vative of -2/15*q**3 + 1/10*q**4 + 2/5*q - 1/5*q**2 - 4. Let x(u) = 0. Calculate u.
-1, 1
Let y(d) be the second derivative of 0 - 1/10*d**6 + 4*d + 1/2*d**3 - 3/2*d**2 + 1/14*d**7 - 3/10*d**5 + 1/2*d**4. Find r such that y(r) = 0.
-1, 1
Factor -3*v**5 - v**2 + 2/3*v + 0 - 25/3*v**4 - 7*v**3.
-v*(v + 1)**3*(9*v - 2)/3
Let v be (-10)/(-15)*(-3)/(-1). Suppose 0*s - v*s + 8 = 0. Factor -6*t**3 + 2*t**3 + 2*t**3 + 0*t**s + 2*t**4.
2*t**3*(t - 1)
Let k(j) be the third derivative of 0*j**3 - 3/100*j**5 + 0*j - 1/240*j**8 + 3/350*j**7 + 1/120*j**6 + 0 + 1/60*j**4 + 3*j**2. Determine a, given that k(a) = 0.
-1, 0, 2/7, 1
Let m(f) be the first derivative of -3*f**5/4 - 9*f**4/4 - 3*f**3/2 + 3*f**2/2 - 5*f - 7. Let x(b) be the first derivative of m(b). Factor x(g).
-3*(g + 1)**2*(5*g - 1)
Let c = -780/7 - -112. Let b = 6 - 4. What is p in 0 + 2/7*p**b + c*p = 0?
-2, 0
Let d be -1 + 4 + -8 + 4. Let u be 52/(-84)*(d - 5). Factor -2/7*j**4 + 24/7*j - 8/7 + 12/7*j**3 - u*j**2.
-2*(j - 2)**2*(j - 1)**2/7
Let t(v) be the third derivative of 2*v**7/735 + v**6/210 - 2*v**5/105 + 2*v**2. Suppose t(c) = 0. What is c?
-2, 0, 1
Let d(p) be the second derivative of p**6/70 - 9*p**5/140 + 3*p**4/28 - p**3/14 - 6*p. Factor d(j).
3*j*(j - 1)**3/7
Let h = 30 - 23. Suppose -3*o = -h - 2. Find r, given that 4/7*r**4 + 0*r**2 + 0 + 0*r - 2/7*r**o = 0.
0, 1/2
Let a(z) = -z - 5. Suppose -50 = 5*q - 15. Let y be a(q). Factor 4/7*j + 0 - 10/7*j**y.
-2*j*(5*j - 2)/7
Factor -p - 6*p + 9*p - 2*p**2.
-2*p*(p - 1)
Let s(m) be the third derivative of -m**5/240 + m**4/16 - 3*m**3/8 + 3*m**2. Factor s(a).
-(a - 3)**2/4
Let d = -2 + 7. Let l(u) be the second derivative of 0*u**2 + 0 + 1/30*u**4 - 2*u - 1/75*u**6 + 1/15*u**3 - 1/50*u**d. Find r such that l(r) = 0.
-1, 0, 1
Let l(f) be the third derivative of f**6/1080 + f**5/180 + f**4/72 + f**3/3 + 6*f**2. Let a(m) be the first derivative of l(m). Solve a(z) = 0 for z.
-1
Let a = -1499 + 1501. Factor 0*w + 0*w**3 + 2/11*w**a - 2/11*w**4 + 0.
-2*w**2*(w - 1)*(w + 1)/11
Let r(a) be the second derivative of a**7/63 - a**6/15 + a**5/10 - a**4/18 + 2*a. Solve r(j) = 0.
0, 1
Let d(n) be the second derivative of -7*n**6/75 + 23*n**5/50 - 2*n**4/3 + 4*n**3/15 + 7*n. Determine x, given that d(x) = 0.
0, 2/7, 1, 2
Let g(x) be the third derivative of 1/270*x**5 - 1/945*x**7 - 1/540*x**6 - 2*x**2 + 0 + 1/108*x**4 + 0*x**3 + 0*x. Let g(h) = 0. Calculate h.
-1, 0, 1
Let p(v) be the third derivative of v**9/362880 - v**8/13440 + v**7/1120 - v**6/160 + v**5/15 + 3*v**2. Let s(y) be the third derivative of p(y). Factor s(q).
(q - 3)**3/6
Factor 4/5*t**4 + 0*t**2 + 0*t + 0 - 2/5*t**5 - 2/5*t**3.
-2*t**3*(t - 1)**2/5
Suppose -2 = -2*u + 2. What is v in 0*v - 5 + 2*v + u - 2*v**3 + 1 + 2*v**2 = 0?
-1, 1
Let z(o) be the third derivative of 4*o**2 + 0 - 1/672*o**8 + 0*o + 1/120*o**5 + 0*o**4 + 0*o**3 - 1/80*o**6 + 1/140*o**7. Factor z(j).
-j**2*(j - 1)**3/2
Suppose 3*k - 9 = -0*k. Let u = -10 - -16. Determine n, given that -u*n**k + 4*n**3 + 0*n**3 + 2*n**2 = 0.
0, 1
Let y(s) = 16*s**2 - 6*s - 6. Let u(b) = 15*b**2 - 6*b - 5. Let d(m) = 6*u(m) - 5*y(m). What is z in d(z) = 0?
0, 3/5
Let i(m) = 8*m**4 + 21*m**3 + 8*m**2. Let l(h) = -12*h**4 - 31*h**3 - 12*h**2. Let d(n) = -7*i(n) - 5*l(n). What is q in d(q) = 0?
-1, 0
Let k = -10 + 14. Suppose -2*i + 2*i**2 - k*i**2 - 2 + 0 + 6 = 0. What is i?
-2, 1
Let r = 36 + -24. Let f be 2 + -1 + r/2. Factor f - m**4 - 7 + m**2.
-m**2*(m - 1)*(m + 1)
Determine h, given that 2/3*h - 2/15*h**2 - 2/15*h**3 - 2/5 = 0.
-3, 1
Let c(t) be the second derivative of -2/3*t**3 + 0 + 1/6*t**4 - 4*t + 0*t**2. Factor c(l).
2*l*(l - 2)
Let i(q) be the second derivative of -7*q**6/65 - q**5/10 + 2*q**4/13 + 4*q**3/39 + 36*q. Let i(y) = 0. What is y?
-1, -2/7, 0, 2/3
Solve 3*l**4 + 1 - 1 - 59*l**3 + 56*l**3 - 6*l**2 = 0.
-1, 0, 2
Let t(a) = a - 1. Let o be t(0). Let g = o - -3. Find j, given that 0*j - 1/2*j**g + 0 + 1/2*j**3 = 0.
0, 1
Let p = -463 - -1397/3. Suppose 4/3*q**2 + p*q + 0 = 0. What is q?
-2, 0
Let a(r) = 2*r - 9. Let f be a(6). Solve 15*y**2 + y + f - 8*y**3 + 2*y**3 - 2*y - 11*y = 0.
1/2, 1
Let v = -47/6 + 271/30. Let 0 - 4/5*n + v*n**4 + 4/5*n**3 - 6/5*n**2 = 0. Calculate n.
-1, -2/3, 0, 1
Let k(o) be the first derivative of 5*o**6/4 + 39*o**5/10 + 27*o**4/8 - o**3/2 - 3*o**2/2 + 4. Suppose k(t) = 0. What is t?
-1, 0, 2/5
Suppose -c = c + 6, 0 = p + 2*c + 4. Determine n so that -4*n**2 + n**3 - 5*n**p + 0*n**2 + 8*n**2 = 0.
0, 1
Let o(h) = h**2 - 5*h + 2. Suppose w - 4*w = -15. Let g be o(w). Solve 2/3*y**3 - 4/3*y**4 + 0 + 2/3*y**5 + 0*y + 0*y**g = 0.
0, 1
Let r(g) be the second derivative of -1/28*g**7 + 0*g**2 - 2*g**3 + 6*g - 27/20*g**5 + 5/2*g**4 + 0 + 7/20*g**6. Factor r(f).
-3*f*(f - 2)**3*(f - 1)/2
Let z = -147 - -152. Factor 0*w**3 + 0*w**2 + 0*w + 0 + 1/2*w**4 + 1/2*w**z.
w**4*(w + 1)/2
Let q(o) be the second derivative of -o**7/140 + o**6/80 + o**5/20 - 3*o**2 + o. Let u(s) be the first derivative of q(s). Determine h so that u(h) = 0.
-1, 0, 2
Let r(p) be the third derivative of 0*p**4 - 4*p**2 - 1/30*p**5 + 0*p**3 + 0*p + 1/30*p**6 + 0 - 1/105*p**7. Solve r(v) = 0.
0, 1
Let v = 47/4 + -133/12. Find i, given that 0 + 1/3*i**3 + 0*i**2 - v*i**5 - 1/3*i**4 + 0*i = 0.
-1, 0, 1/2
Let q(b) be the third derivative of b**6/780 - b**5/78 + 2*b**4/39 - 4*b**3/39 - 17*b**2 + 1. Determine d so that q(d) = 0.
1, 2
Factor 28*m - 25*m**4 + 24*m**4 - 24*m - m**3 + 4*m**2.
-m*(m - 2)*(m + 1)*(m + 2)
Let f(d) = -4*d. Let c be f(-4). Suppose -24 + 5*j - 2*j**2 + c + 3*j = 0. What is j?
2
Let j = -1 - -4. Factor 0 - 1/2*y**4 + 3/2*y**j - 3/2*y**2 + 1/2*y.
-y*(y - 1)**3/2
Let f(s) be the second derivative of s**5/30 + s**4/18 - 6*s. Let f(j) = 0. Calculate j.
-1, 0
Let m(s) = -s**3 - 5*s**2 - 17*s - 9. Let u(c) = -2*c**3 - 9*c**2 - 35*c - 18. Let h(y) = 15*m(y) - 6*u(y). Factor h(k).
-3*(k + 1)*(k + 3)**2
Let c(x) be the second derivative of 1/3*x**3 + 1/2*x**2 + 1/12*x**4 - 2*x + 0. Solve c(r) = 0.
-1
Let s be ((-10)/20)/(2/(-4)). What is g in 27*g**2 + 3*g**4 + s - 5*g + 5 + 2*g - 15*g**3 - 18*g = 0?
1, 2
Solve 6*s - 3 + 4*s**3 + 9*s**3 - 1 + 24*s**2 + s**3 = 0.
-1, 2/7
Let l(m) = 3*m**3 - 72*m**2 + 582*m - 1542. Let n(o) = -o + 1. Let x(b) = l(b) + 6*n(b). Factor x(q).
3*(q - 8)**3
Factor -24*g**2 - 9*g**2 - 21*g**2 + 9*g**2 + 10*g + 15*g**3 + 20*g**4.
5*g*(g - 1)*(g + 2)*(4*g - 1)
Let g = -10 + 14. Let l(u) be the second derivative of 0 + 0*u**3 + 3*u - 1/6*u**2 + 1/36*u**g. Find o, given that l(o) = 0.
-1, 1
Let n = 4 - 0. Factor -4*k**4 + 3*k**2 + k**4 - k**2 + k**n.
-2*k**2*(k - 1)*(k + 1)
Let p(k) = -6*k**3 - 6*k**2 + 25*k - 23. Let j(b) = -3*b**3 - 3*b**2 + 12*b - 12. Let d(w) = 5*j(w) - 3*p(w). Determine z, given that d(z) = 0.
-3, 1
Let a(i) = i**2 - 6*i + 12. Let z be a(4). Let g(o) be the second derivative of 3*o + 0 + 1/10*o**5 - 1/3*o**3 - 1/6*o**z + o**2. Factor g(n).
2*(n - 1)**2*(n + 1)
Suppose 5*d - 2*d + 15 = 0. Let w(x) = x**3 + 5*x**2 + x + 5. Let n be w(d). Factor 0 + n*u**2 + 0*u - 1/2*u**3.
-u**3/2
Let i(t) be the second derivative of -7*t - 1/84*t**4 + 1/7*t**2 + 0 + 1/42*t**3. Factor i(s).
-(s - 2)*(s + 1)/7
Find a such that 2/3*a - 2*a**3 + 20/9*a**2 + 0 - 8/9*a**4 = 0.
-3, -1/4, 0, 1
Let w be (-5 + 4 - 3/(-3))/2. Factor 4/9*c - 2/9*c**2 - 2/9*c**3 + w.
-2*c*(c - 1)*(c + 2)/9
Factor -8/7*c**2 + 0*c + 0 - 8/7*c**3 - 2/7*c**4.
-2*c**2*(c + 2)**2/7
Let z(u) be the third derivative of u**5/15 + u**4/6 + 22*u**2. Factor z(g).
4*g*(g + 1)
Suppose -2*l = -4, -i - 3*i + 18 = l. Let d be 22/i + (-3)/2. Factor -1/3*v**d + 1/3*v**2 + 1/3*v + 0 - 1/3*v**3.
-v*(v - 1)*(v + 1)**2/3
Factor 1/2*a**2 - 1/4*a**3 + 0 + 0*a.
-a**2*(a - 2)/4
Let x = -10 + 14. Factor -v - v + 2*v**4 - 1 + 2*v**3 - v**x.
(v - 1)*(v + 1)**3
Let r(i) be the second derivative of -i**6/120 + i**5/40 - i**3/6 + i. Let j(k) be the second derivative of r(k). Factor j(f).
-3*f*(f - 1)
Suppose -3*h - 10 = -5*h - 2*y, 0 = 3*h - 2*y. Factor 0 + 0*z**3 - 2/5*z**4 + 0*z**h + 0*z.
-2*z**4/5
Let s be 6/(-3 + 1) - -6. Let -3*j - 3*j**3 + j - j + 3*j**2 + s*j**2 = 0. Calculate j.
0, 1
Let l(v) be the second derivative of v - 2/15*v**4 - 1/3*v**3 + 0 - 1/50*v**5 - 2/5*v**2. Factor l(o).
-2*(o + 1)**2*(o + 2)/5
Suppose 5*o - 5 = 5. Suppose o*v - 9 = -v. 