be the third derivative of 1/90*i**5 + 0*i + 3*i**2 + 1/36*i**4 - 2/9*i**3 + 0. Suppose v(g) = 0. Calculate g.
-2, 1
Let -26/5*p**2 - 26/5*p**3 + 4 + 26/5*p + 6/5*p**4 = 0. Calculate p.
-1, -2/3, 1, 5
Factor 3*m**2 + m**4 - 5*m**2 + 18*m**3 - 19*m**3.
m**2*(m - 2)*(m + 1)
Let z(v) be the third derivative of v**6/240 - v**4/48 + 5*v**2. Factor z(k).
k*(k - 1)*(k + 1)/2
Let g = -6/11 + 8/11. Let -18/11 - g*i**2 - 12/11*i = 0. What is i?
-3
Let p = -4 + 4. Let t be (-2)/(-1) - (p + 0). Suppose 2*s**t + 7*s**3 - 6*s**3 - 3*s**2 = 0. What is s?
0, 1
Suppose 4*n + 4*l - 10 = -n, -4*n + 8 = -5*l. Factor 2/3*t**3 - 2/3*t + n - 2*t**2.
2*(t - 3)*(t - 1)*(t + 1)/3
Find s, given that 0 - 2/5*s**4 + 0*s**2 + 0*s**3 + 2/5*s**5 + 0*s = 0.
0, 1
Let r(t) = t**3 - 8*t**2 + 9*t - 10. Let i be (4 - 7) + (10 - 0). Let u be r(i). Factor -j - 1/4*j**u - 1/4 - j**3 - 3/2*j**2.
-(j + 1)**4/4
Let h = 742 + -742. Factor -1/5*f**2 - 1/5*f**4 + h + 2/5*f**3 + 0*f.
-f**2*(f - 1)**2/5
Let o = -190/3 + 1336/21. Factor o*s**2 + 2/7*s**3 - 2/7*s - 2/7.
2*(s - 1)*(s + 1)**2/7
Let z(q) be the second derivative of q**7/252 + q**6/90 - q**5/120 - q**4/36 + q. Solve z(c) = 0 for c.
-2, -1, 0, 1
Let b(x) = x**2 + 4*x - 2. Let o be b(-5). Factor l**2 + o - 3 - 4*l**2 + 6*l.
-3*l*(l - 2)
Suppose 675 = -4*y - y. Let x be 24/y - (-2)/5. Solve 0 + 2/3*p**2 + x*p + 2/3*p**3 + 2/9*p**4 = 0 for p.
-1, 0
Let l(s) = -s + 4. Let y be l(0). Let v(k) be the third derivative of -1/60*k**y + 0*k**3 + 0 + 2*k**2 - 1/150*k**5 + 0*k. Find a, given that v(a) = 0.
-1, 0
Let c(f) be the third derivative of f**8/20160 - f**7/5040 + f**5/60 - f**2. Let t(x) be the third derivative of c(x). Determine d so that t(d) = 0.
0, 1
Let s = -1747/2 - -875. Factor -3/2*j**3 + 3/2*j**4 + 0 - s*j**2 + 0*j + 3/2*j**5.
3*j**2*(j - 1)*(j + 1)**2/2
Suppose 4*y + 3*w + 1 = 4, -2*w + 2 = -y. Suppose 3*d - 16 + 4 = y. Factor -4 + d - 2*v + 3*v**3 - v**3.
2*v*(v - 1)*(v + 1)
Let k be (-1 - 0)*(5 - 0). Let h(r) = 2*r**3 + 3*r**2 + 2*r + 3. Let w(d) = -3*d**3 - 4*d**2 - d - 4. Let s(n) = k*w(n) - 6*h(n). Find l such that s(l) = 0.
-2, 1/3, 1
Let b(p) be the first derivative of -2*p**5/5 - 7*p**4/2 - 22*p**3/3 - 5*p**2 + 22. Suppose b(w) = 0. What is w?
-5, -1, 0
Let p(y) be the third derivative of 0*y**3 - 1/60*y**5 - 7*y**2 + 0*y**4 - 1/120*y**6 + 0*y + 0 + 1/336*y**8 + 1/210*y**7. Factor p(u).
u**2*(u - 1)*(u + 1)**2
Let j(p) be the third derivative of p**8/6720 + p**7/2520 + p**4/12 - 3*p**2. Let k(c) be the second derivative of j(c). Factor k(t).
t**2*(t + 1)
Let a = 4 + 0. Let m be 2*(-3)/(-2) + 6. Let -2 - a*g + 11 + 2*g**2 - m = 0. Calculate g.
0, 2
Suppose 0 = -7*m + 2*m. Let u = -12/5 + 53/20. Factor -u*s**3 + 0 + 1/4*s**2 + m*s.
-s**2*(s - 1)/4
Let r(j) = -j + 1. Let d(y) = -5*y - 7. Let l(v) = d(v) - 4*r(v). Let u be l(-13). Factor 0 + 2/7*z**u + 4/7*z.
2*z*(z + 2)/7
Let h(d) be the third derivative of 0 - 1/300*d**6 - 1/240*d**8 - 2*d**2 + 0*d**5 + 0*d**3 + 0*d + 0*d**4 + 3/350*d**7. Factor h(p).
-p**3*(p - 1)*(7*p - 2)/5
Let i = -1/2 - -7/6. Suppose i - 2/3*a**2 + 0*a = 0. Calculate a.
-1, 1
Factor -16/7 + 2*n + 2/7*n**2.
2*(n - 1)*(n + 8)/7
Let b(h) = -4*h**3 - 8*h**2 - 6*h. Let v(o) = -5*o**3 - 8*o**2 - 5*o. Let p(i) = -6*b(i) + 4*v(i). Determine m, given that p(m) = 0.
-2, 0
Let r(o) = 21*o + 191. Let y be r(-9). Solve 8/7 - 12/7*l - 1/7*l**3 + 6/7*l**y = 0 for l.
2
Factor -1/4 + 0*l + 1/4*l**2.
(l - 1)*(l + 1)/4
Let s(d) be the second derivative of d**6/45 + d**5/5 + 13*d**4/18 + 4*d**3/3 + 4*d**2/3 + 6*d. Factor s(p).
2*(p + 1)**2*(p + 2)**2/3
Let q(z) = 3*z**2 - 4*z + 3. Let y(d) = d + 7. Let i be y(-5). Let b be q(i). Factor 2 + v**3 + 0*v**3 + b*v**3 - 4*v**2 - 10*v**2 + 4*v.
2*(v - 1)**2*(4*v + 1)
Find h, given that -3/4*h**3 - 3/4*h - 3/2*h**2 + 0 = 0.
-1, 0
Suppose -41 = 3*k - 209. Let g = k + -278/5. Determine u so that 0 + 0*u**3 - 4/5*u**4 + g*u**5 + 4/5*u**2 - 2/5*u = 0.
-1, 0, 1
Let z(q) = -q. Let k(p) = -3*p**4 + 3*p**3 + 3*p**2. Let y(o) = -k(o) - 3*z(o). Factor y(v).
3*v*(v - 1)**2*(v + 1)
Suppose v + 46 = 4*v - 5*y, 0 = -v - 3*y - 8. Let l = -5 + v. Factor -j - 3*j + 0*j - l - 2*j**2.
-2*(j + 1)**2
Suppose -5*a + 2*a = -6. Suppose -9*n**a - 3*n**3 + 4*n - 8*n + 0 - 5*n - 3 = 0. Calculate n.
-1
Determine n, given that 0 + 8/7*n - 4/7*n**3 - 4/7*n**2 = 0.
-2, 0, 1
Solve -l**2 - 2*l**4 + 1 - 3*l - 14*l**3 + 17*l**3 + 1 + l**4 = 0 for l.
-1, 1, 2
Let c be (-1)/(-3)*(-4 - -4). Suppose c = 2*v + 2*v - 8. Factor 2/9*s + 0 + 4/9*s**v.
2*s*(2*s + 1)/9
Let h(q) = q - 4. Let y be h(7). Let u be (12/(-4))/((-3)/3). Find b, given that -4 - b**y - 4*b + b**2 + u + 5*b = 0.
-1, 1
Let z(p) be the third derivative of p**7/105 + p**6/100 - 2*p**5/25 + p**4/15 - 3*p**2. Let z(r) = 0. Calculate r.
-2, 0, 2/5, 1
Let l(j) be the second derivative of -j**7/840 - j**6/80 - j**5/20 - 5*j**4/12 - j. Let a(k) be the third derivative of l(k). Factor a(p).
-3*(p + 1)*(p + 2)
Let g = 1597 + -1593. Factor 1/3*m**3 + 0 + 2/3*m**2 + 0*m - 1/3*m**g.
-m**2*(m - 2)*(m + 1)/3
Let v = -5 + 7. Suppose v - 2 - a**4 - 2*a**3 + 0*a**3 = 0. What is a?
-2, 0
Suppose d - 4*i + 10 = 0, 3*i - 1 = 7*d - 3*d. Suppose 2/5*w**d + 4/5*w + 0 = 0. What is w?
-2, 0
Let p(z) = -z + 8. Let f be p(5). Factor 2*m - m**4 + 0*m**2 + f*m**2 - 4 + 4.
-m*(m - 2)*(m + 1)**2
Let t(q) be the first derivative of -q**5/50 - 3*q**4/40 - q**3/10 - 2*q**2 - 6. Let c(i) be the second derivative of t(i). Factor c(x).
-3*(x + 1)*(2*x + 1)/5
Let f be 5 + 12/(-40)*14. Find s such that 6/5*s**3 + 0*s + f*s**2 + 0 + 2/5*s**4 = 0.
-2, -1, 0
Let i(b) be the third derivative of -1/420*b**7 + 0*b**6 + 1/1344*b**8 - 1/96*b**4 + b**2 + 0*b + 0*b**3 + 0 + 1/120*b**5. Let i(v) = 0. What is v?
-1, 0, 1
Let i(l) be the second derivative of -4*l + 0*l**2 + 4/15*l**3 + 1/15*l**4 + 0. Factor i(r).
4*r*(r + 2)/5
Let o = -17 + 19. Factor -3*s + 10*s + s + 7*s**o - 3*s**2.
4*s*(s + 2)
Let t = 27 + -18. Let x = t - 7. Find q, given that 1/3 + 0*q - 1/3*q**x = 0.
-1, 1
Let o(s) be the first derivative of 0*s**2 - 7/10*s**4 + 4/15*s**3 + 3 - 4/25*s**5 + 7/15*s**6 + 0*s. Solve o(l) = 0.
-1, 0, 2/7, 1
Let n(x) be the first derivative of -x**3/15 + 3*x**2/10 + 11. Factor n(c).
-c*(c - 3)/5
Suppose 0 = -4*n - 4*q - 4, -4*n + 17 + 9 = -2*q. Suppose 0 = -o - 4*v - 17, 10 + 10 = -n*v. Factor 0*b + 0 + 1/5*b**o + 2/5*b**2.
b**2*(b + 2)/5
Suppose -2/5*r**2 + 8/5*r**3 + 0*r + 0 - 6/5*r**4 = 0. Calculate r.
0, 1/3, 1
Let h = -30 + 33. Let m(t) be the first derivative of 2/27*t**h + 4/9*t + 1/3*t**2 - 2. Determine j, given that m(j) = 0.
-2, -1
Suppose -3*l = -6, -4*a + 10 + 28 = -5*l. Suppose 5*j + 4*p - 5 = 10, j = p + 3. Find m, given that 1 - 2*m**4 + 4*m**4 - 8*m**j + 1 - 8*m + a*m**2 = 0.
1
Let a = 32 + -27. Let g(l) be the third derivative of 1/24*l**4 + l**2 + 1/480*l**6 - 1/60*l**a + 0*l + 0*l**3 + 0. Suppose g(q) = 0. What is q?
0, 2
Let n(b) be the third derivative of 0*b + 1/240*b**6 - 1/24*b**3 - 2*b**2 - 1/48*b**4 + 0*b**5 + 0 + 1/840*b**7. Determine j, given that n(j) = 0.
-1, 1
Let w(d) be the second derivative of 0 + 0*d**3 + 0*d**2 - 1/2*d**4 + 3/20*d**5 + 2*d. Find f such that w(f) = 0.
0, 2
Let u = -6 - -9. Suppose 4*v + 44 = 2*t, -3*t + t + u*v + 39 = 0. Factor 12*z**4 - 11*z + 11*z + 3*z**5 + t*z**3.
3*z**3*(z + 2)**2
Let g(o) be the second derivative of -o**6/75 - o**5/50 + o**4/30 + o**3/15 + 8*o. Factor g(v).
-2*v*(v - 1)*(v + 1)**2/5
Let l(o) = o**2 + o - 10. Let b be l(3). Factor 4/7*z**3 - 4/7*z + 4/7*z**b - 4/7.
4*(z - 1)*(z + 1)**2/7
Let x(t) be the third derivative of -2*t**5/15 + t**4/6 + 2*t**3/3 + 14*t**2. Factor x(y).
-4*(y - 1)*(2*y + 1)
Let a be -7*6/(-42) - (-1 - 1). Factor 2/7*y**a + 24/7*y + 12/7*y**2 + 16/7.
2*(y + 2)**3/7
Let r(a) = 16*a - 1. Let l be r(1). Find k, given that 0*k**2 - 7*k + l*k - 4 - 5*k**2 + k**2 = 0.
1
Suppose 4*x - 5*f - 1 = 6, -f + 7 = 2*x. Factor 12*s**2 - x*s**3 - 7*s - 10*s + 5*s.
-3*s*(s - 2)**2
Factor q + 0 + 1/3*q**2.
q*(q + 3)/3
Suppose 2*c - 5*c = -6. Let o be 5/2 - 1/(-2). Factor -c*q**5 + 2*q**2 - q**2 - o*q**2 + 2*q**4 + 2*q**3.
-2*q**2*(q - 1)**2*(q + 1)
Suppose 0 = 4*h - 62 + 46. Let r(m) be the second derivative of 0*m**3 + 0 + m + 1/2*m**2 - 1/12*m**h. Find i, given that r(i) = 0.
-1, 1
Let g(m) be the third derivative 