ative of z(x). Factor r(m).
4*(m + 2)**3
Let r(m) be the second derivative of m**6/15 + m**5/10 - m**4/2 - m**3/3 + 2*m**2 - 13*m. Determine y, given that r(y) = 0.
-2, -1, 1
Factor 2/9*t**2 + 50/9 - 20/9*t.
2*(t - 5)**2/9
Let j be 2/3*(-2)/(-4). Let q be ((-1)/9)/(5/(-30)). Factor q*p**3 + j*p**4 + 0*p**2 - 2/3*p - 1/3.
(p - 1)*(p + 1)**3/3
Suppose -5*m + 7*m + 40 = 0. Let w = 22 + m. Find f, given that 4/3*f**3 + 0 - 5/3*f**w + 1/3*f = 0.
0, 1/4, 1
Let l(i) be the first derivative of -2*i**5/45 + 4*i**3/27 - 2*i/9 - 3. Factor l(a).
-2*(a - 1)**2*(a + 1)**2/9
Let m be (-65)/(-70) - 3/7. Factor 0*d**3 - d**4 + 0 - 1/2*d + d**2 + m*d**5.
d*(d - 1)**3*(d + 1)/2
Let s be 1 + -1 + 1*6. Suppose 0 = -2*l + 5*l - s. Factor 4*i**2 + 24*i + 16 + l*i**3 + 7*i**2 + i**2.
2*(i + 2)**3
Let n(w) be the third derivative of w**7/30 + w**6/24 - w**5/30 - 2*w**2. Factor n(i).
i**2*(i + 1)*(7*i - 2)
Let i(b) = 3*b**2 - 32*b - 17. Let z(t) = t**2 - 11*t - 6. Let d(g) = 6*i(g) - 17*z(g). Find s such that d(s) = 0.
0, 5
Determine t, given that 4/7*t + 4/7 + 1/7*t**2 = 0.
-2
Let n be (-2 + 1)*2*-1. Suppose n*x = 2 + 2. Determine m, given that -2/3*m**4 + 2/3 - 4/3*m**3 + 0*m**x + 4/3*m = 0.
-1, 1
Let b(l) be the third derivative of -l**8/112 - 3*l**7/70 - 3*l**6/40 - l**5/20 + 8*l**2. Factor b(u).
-3*u**2*(u + 1)**3
Let r(u) be the first derivative of -2*u**5/5 + u**4/2 + 2*u**3/3 - u**2 + 3. Let r(t) = 0. What is t?
-1, 0, 1
Let l = -2 + 4. Factor v - 2*v**3 - 9*v**l + 7*v**2 - v.
-2*v**2*(v + 1)
Let q = 447 + -442. Solve 0 + 1/3*b**4 + 1/3*b**q - 1/3*b**2 + 0*b - 1/3*b**3 = 0.
-1, 0, 1
Let j = -24/23 - -237/161. What is d in -j*d - 27/7*d**2 - 72/7*d**3 + 0 - 48/7*d**4 = 0?
-1, -1/4, 0
Let q be (-4 - 84/(-20)) + (-3)/(-35). Factor 2/7*y**3 + 2/7*y**4 + 0 - q*y - 2/7*y**2.
2*y*(y - 1)*(y + 1)**2/7
Let l be (0/1)/(-4 + 2). Factor r + 2/3 - 1/3*r**3 + l*r**2.
-(r - 2)*(r + 1)**2/3
Let f(w) be the third derivative of w**8/448 + w**7/140 + w**6/160 - 7*w**2. Suppose f(a) = 0. Calculate a.
-1, 0
Let n be ((-3)/(-6)*38)/1. Let d be (-2)/16 + n/24. Find j such that 0 - 2/3*j**4 - 2/3*j + 2/3*j**3 + d*j**2 = 0.
-1, 0, 1
Solve 2/11*p**5 - 10/11*p + 4/11*p**2 + 8/11*p**3 - 8/11*p**4 + 4/11 = 0.
-1, 1, 2
Let w(s) = -s**2 - 8*s - 1. Let a be w(-7). Let g(t) be the second derivative of 0*t**5 + 0*t**3 + 0 + t**2 + 1/15*t**a + t - 1/3*t**4. Solve g(u) = 0 for u.
-1, 1
Suppose x = -3 + 5. Suppose -g = 4*c + 3, 2*c + 3*g = -x*g - 15. Determine y, given that 1/3*y**2 + 0*y + c = 0.
0
Find z, given that 1/7*z**3 + 3/7*z + 1/7 + 3/7*z**2 = 0.
-1
Let a(q) be the second derivative of 3*q - 1/420*q**6 + 1/84*q**4 - 1/2*q**2 + 0*q**5 + 0 + 0*q**3. Let f(v) be the first derivative of a(v). Factor f(p).
-2*p*(p - 1)*(p + 1)/7
Let j(p) = -p**3 - p**2 + 2*p + 1. Let m be j(-2). Factor 10*t - 6*t - m + 1 + 2*t**3 + 6*t**2.
2*t*(t + 1)*(t + 2)
Let s(g) = -18*g - 2. Let h be s(-3). Let r be h/14 + 2/7. Factor 5*f**2 + 3 - r*f**2 - 4.
(f - 1)*(f + 1)
Let -24/5*y**3 + 0 + 16/5*y**2 + 16/5*y**4 - 4/5*y**5 - 4/5*y = 0. What is y?
0, 1
Let z(v) = -v + 8. Let s be z(5). Suppose -s*g + 3 = -2*g. Find m, given that 2*m + m**2 + 0 - g + 4 = 0.
-1
Let p(z) be the third derivative of -z**2 + 0 + 1/36*z**4 - 2/27*z**3 - 1/270*z**5 + 0*z. Find c such that p(c) = 0.
1, 2
Let s(t) = -3*t**2 + 0*t**2 + 1 + 2*t**2 + 2*t**2. Let u(f) = -4*f**2 + 2*f + 4. Let x(o) = 4*s(o) - u(o). Factor x(q).
2*q*(4*q - 1)
Let y(d) = -25*d**4 - 20*d**3 + 39*d**2 + 23*d - 8. Let j(q) = -49*q**4 - 40*q**3 + 79*q**2 + 47*q - 16. Let l(n) = 3*j(n) - 7*y(n). What is h in l(h) = 0?
-1, 2/7, 1
Let y be 3/(0 + (-3)/(-3)). Let z be y/5 + (-14)/(-10). Let 3*k + k - z*k**3 - 2*k + 0*k = 0. What is k?
-1, 0, 1
Let j = 262/45 - 28/5. Find t such that 4/9 + j*t**2 - 2/3*t = 0.
1, 2
Let u(o) be the first derivative of -5 + 6/25*o**5 - 4/15*o**3 + 0*o - 1/10*o**4 + 0*o**2. Suppose u(k) = 0. Calculate k.
-2/3, 0, 1
Let i(y) = -1 - 4*y + 2 - y**2 + 4*y. Let p(t) = -2*t**3 + 10*t**2 - 4*t - 4. Let u(h) = 4*i(h) + p(h). Factor u(n).
-2*n*(n - 2)*(n - 1)
Let t(u) be the second derivative of u**4/32 - 3*u**2/16 - 14*u. Factor t(a).
3*(a - 1)*(a + 1)/8
Let y(a) be the third derivative of -a**6/12 - 11*a**5/120 + a**4/6 - a**3/12 + 24*a**2. What is k in y(k) = 0?
-1, 1/5, 1/4
Let y(i) be the first derivative of 2*i**3/39 + 3*i**2/13 + 4*i/13 - 17. Let y(n) = 0. What is n?
-2, -1
Factor 0 + 0*h**2 + 0*h - 3/2*h**3 + 3/2*h**5 + 0*h**4.
3*h**3*(h - 1)*(h + 1)/2
Suppose -7*u = -3*u - 8. Suppose u*c + 4 = 2*r - 0*r, 5*r - 2*c = 16. Solve 3*g**r + 3*g**4 + 5*g**5 + 2*g**3 + g**4 = 0.
-1, -2/5, 0
Let s(d) be the second derivative of -5*d + 1/4*d**2 + 0 + 1/96*d**4 - 1/12*d**3. What is l in s(l) = 0?
2
Let h be ((-7)/14)/(1/(-4)). Let m(z) be the first derivative of 0*z**2 - 1/5*z**5 - h + 0*z + 0*z**4 + 1/3*z**3. Factor m(o).
-o**2*(o - 1)*(o + 1)
Suppose t - 12 = -t. Suppose -t*v + 3*v = -9. Determine j, given that 1/2*j**v - 1/2*j + 0*j**2 + 0 = 0.
-1, 0, 1
Let i = 47 - 47. Suppose i - y - 1/2*y**2 = 0. Calculate y.
-2, 0
Let b be (4/(-6))/((-5)/15). Let a be (-4)/6 + (-4)/(-3). Factor 0 - 2/3*j + a*j**5 + 0*j**3 + 4/3*j**4 - 4/3*j**b.
2*j*(j - 1)*(j + 1)**3/3
Suppose 11 = 5*y + 1. Suppose 2*a - a - y = 0. Determine j, given that -1/2*j**a + 0*j + 0 = 0.
0
Let u(r) be the second derivative of -r**5/60 - r**4/9 - 2*r**3/9 - r. Let u(h) = 0. What is h?
-2, 0
Let q(j) = 7*j**4 - 122*j**2 + 322*j - 240. Let i(m) = 15*m**4 - 245*m**2 + 645*m - 480. Let w(f) = 2*i(f) - 5*q(f). Determine p, given that w(p) = 0.
-6, 2
Let x(j) = -j**2 + 4*j + 1. Let g be x(4). Determine p, given that 9*p**2 + 4*p**3 - 9*p - 7*p**3 + 1 + 3 - g = 0.
1
Let 2/3*y**2 + 4/9*y**3 - 4/9 - 2/3*y = 0. What is y?
-2, -1/2, 1
Let j = -67 - -252. Let d = j - 1291/7. Suppose d - 10/7*h + 6/7*h**2 = 0. What is h?
2/3, 1
Let v(o) = o**2 + 7*o. Suppose 5*k = -2 - 33. Let b be v(k). Factor -3*j**4 + 0*j**2 + j**4 + b*j**2.
-2*j**4
Let n(o) be the second derivative of -5*o**7/14 - o**6/3 + 9*o**5/4 - 10*o**3/3 + 16*o. What is d in n(d) = 0?
-2, -2/3, 0, 1
Let c = -3/674 - -689/3370. Factor 2/5 - 3/5*j + c*j**2.
(j - 2)*(j - 1)/5
Let t(d) be the first derivative of d**4/20 + 2*d**3/15 - d**2/10 - 2*d/5 - 7. What is m in t(m) = 0?
-2, -1, 1
Factor 2/7*g**4 - 2/7*g + 0 - 2/7*g**2 + 2/7*g**3.
2*g*(g - 1)*(g + 1)**2/7
Let h(z) = 101*z**3 - 249*z**2 + 117*z - 13. Let x(p) = 201*p**3 - 499*p**2 + 235*p - 27. Let m be (8/(-12))/(1/(-9)). Let i(a) = m*x(a) - 10*h(a). Factor i(j).
4*(j - 2)*(7*j - 2)**2
Let o = -430/3 - -144. Solve 2/3*z**5 - o*z**4 + 0*z + 2/3*z**2 + 0 - 2/3*z**3 = 0.
-1, 0, 1
Suppose y + 6 = -3. Let q be ((-3)/10)/(y/12). What is j in -1/5*j + q*j**2 - 1/5 = 0?
-1/2, 1
Let y(x) be the first derivative of x**6/24 + 2*x**5/5 + 21*x**4/16 + 3*x**3/2 + 39. Factor y(n).
n**2*(n + 2)*(n + 3)**2/4
Let r(c) = -c**3 - 7*c**2 - c - 3. Let o be r(-7). Suppose 0*a = -2*a + o. Factor -2/7*g + 0 + 2/7*g**a.
2*g*(g - 1)/7
Let q(s) be the third derivative of s**7/70 - s**6/60 - s**5/20 + s**4/12 + 5*s**2. Find f such that q(f) = 0.
-1, 0, 2/3, 1
Suppose 0 = -0*m + 2*m - 28. Solve -t**4 - 3*t**4 - 3*t + m*t**3 - 4*t**2 - 4*t**4 + t = 0 for t.
-1/4, 0, 1
Solve -1/4*v**2 - 1/2*v + 0 = 0 for v.
-2, 0
Let o = 1066/1841 + -2/263. Suppose 0 + 2/7*b**3 - o*b**2 + 0*b = 0. What is b?
0, 2
Let r = -56 + 58. Factor 2/3*k**4 + 8/3*k + 2/3 + 8/3*k**3 + 4*k**r.
2*(k + 1)**4/3
Let c(x) be the third derivative of -x**7/105 + x**6/60 + x**5/30 - x**4/12 - 23*x**2. Factor c(m).
-2*m*(m - 1)**2*(m + 1)
Let a be 34/8 + 7/(-28). Suppose a = -s + 3*s. Factor -4/7*n + 2/7*n**s + 2/7.
2*(n - 1)**2/7
Let u(c) = 9*c**3 + 13*c**2 + 7*c - 15. Let p(w) = -5*w**3 - 7*w**2 - 4*w + 8. Let s(j) = 7*p(j) + 4*u(j). Solve s(k) = 0 for k.
-2, 1
Let v(n) = n**3 + 7*n**2 - 6*n + 18. Let p be v(-8). Let i = -7 - -10. Factor 3/2*a + 3/2*a**p - i.
3*(a - 1)*(a + 2)/2
Let x(o) be the third derivative of 3*o**7/140 - o**6/80 - 13*o**5/60 + 7*o**4/12 - 2*o**3/3 - 5*o**2. Suppose x(u) = 0. What is u?
-2, 2/3, 1
Factor 0*z + 3*z**3 + 48/5*z**4 + 27/5*z**5 - 6/5*z**2 + 0.
3*z**2*(z + 1)**2*(9*z - 2)/5
Suppose 6*p - 2*p**3 - 9/2 - 1/2*p**4 + p**2 = 0. What is p?
-3, 1
Let w(s) be the third derivative of s**8/1008 - s**6/90 + s**5/90 + s**4/24 - s**3/