et x(u) = 0. What is u?
-1, 2
Let l(p) be the third derivative of -1/135*p**5 + 0*p + 0*p**3 - 1/108*p**4 - 8*p**2 + 0 - 1/540*p**6. Factor l(y).
-2*y*(y + 1)**2/9
Suppose -2*f + 10 = 3*f. Factor 5*v**2 + 4 - 5*v**f - 4*v**4 - 8*v + 0*v + 8*v**3.
-4*(v - 1)**3*(v + 1)
Let t(c) be the second derivative of c**7/420 + c**6/36 + 2*c**5/15 + c**4/3 - c**3/2 - 3*c. Let d(p) be the second derivative of t(p). Factor d(a).
2*(a + 1)*(a + 2)**2
Let a(z) be the second derivative of z**5/60 - 5*z**4/72 + z**3/9 - z**2/12 - 5*z. Factor a(s).
(s - 1)**2*(2*s - 1)/6
Suppose -3*b - 3*d = -d + 167, -4*b = -3*d + 200. Let l = b - -161/3. Suppose 1/3*x**2 + l + x = 0. What is x?
-2, -1
Suppose 3*l = -5*y - 15, 0*l + 2*l = -2*y - 6. Let i(n) be the second derivative of 2/7*n**2 + 1/21*n**3 + l - n - 1/42*n**4. Factor i(s).
-2*(s - 2)*(s + 1)/7
Let h(i) be the second derivative of 0 + 1/9*i**2 + 0*i**3 - 1/54*i**4 - 5*i. What is t in h(t) = 0?
-1, 1
Let f(v) = -v + 3. Let k be f(3). Let d(o) be the second derivative of 0*o**2 + 0 + k*o**5 + 1/18*o**4 + 0*o**3 - 1/45*o**6 + 3*o. What is w in d(w) = 0?
-1, 0, 1
Let b(p) be the first derivative of p**6/360 + p**5/120 + p**3/3 + 7. Let a(q) be the third derivative of b(q). Find m such that a(m) = 0.
-1, 0
Let w(t) be the third derivative of 1/60*t**5 - 4*t**2 + 1/6*t**3 + 0*t + 0 - 1/12*t**4. Solve w(b) = 0.
1
Let r(o) be the second derivative of -o**6/150 - o**5/50 + o**4/20 + 15*o. What is y in r(y) = 0?
-3, 0, 1
Let z(s) = 5*s**2 + 19*s + 11. Let b(m) = m**2 + 4*m + 2. Let v(o) = -11*b(o) + 2*z(o). Let f be v(-6). Factor -2/3*y**2 + 4/3*y + f.
-2*y*(y - 2)/3
Let s(g) be the third derivative of g**6/60 + g**5/15 + g**4/12 + 5*g**2. Find a, given that s(a) = 0.
-1, 0
Suppose -6*v = -2*v. Solve 4/11*j + 2/11*j**2 - 2/11*j**4 - 4/11*j**3 + v = 0 for j.
-2, -1, 0, 1
Let i(b) = -b**2 - 4*b. Let d be i(-4). Solve -2/5*t**2 + d*t + 0 - 2/5*t**3 + 2*t**4 - 6/5*t**5 = 0.
-1/3, 0, 1
Let k = 31 - 27. Let o(q) be the first derivative of 2/3*q**3 - k*q**2 - 2 + 8*q. Factor o(r).
2*(r - 2)**2
Let j(h) be the first derivative of 1 - 9/16*h**4 + 9/8*h**2 - 3/2*h + 3/20*h**5 + 1/4*h**3. Factor j(l).
3*(l - 2)*(l - 1)**2*(l + 1)/4
Factor 5/4*b - 3/4*b**2 - 1/2.
-(b - 1)*(3*b - 2)/4
Let b(r) = -9 + r + 5*r + 0*r - 4*r. Let m be b(6). Factor 0 + 1/3*f**5 - 2/3*f**m + 0*f**4 + 0*f**2 + 1/3*f.
f*(f - 1)**2*(f + 1)**2/3
Let j(x) = -x + 13. Let o be j(10). Let y(r) be the second derivative of 0*r**o + 0*r**2 - r + 0 - 1/30*r**4. Find q such that y(q) = 0.
0
Let k(r) be the second derivative of r**6/90 + r**5/20 + r**4/12 + r**3/18 - 8*r - 6. Factor k(c).
c*(c + 1)**3/3
Let u be -4 - (27 + -41 - (-5 - 1)). Solve -4/5*b**2 + 0*b + 4/5*b**u + 0 + 2/5*b**5 - 2/5*b**3 = 0.
-2, -1, 0, 1
Let h = -6 - -11. Let f = 11 - 9. Solve 14*o**4 - o**5 - 7*o**4 - 4*o**h - f*o**3 = 0.
0, 2/5, 1
Let j(v) = -34*v + 447. Let y be j(13). Determine t so that 2/7*t**2 + 0 + 6/7*t**3 + 0*t + 2/7*t**y + 6/7*t**4 = 0.
-1, 0
Let g = -602 - -3014/5. Let -g*x**2 - 3/5*x + 1/5 = 0. What is x?
-1, 1/4
Let p(i) be the second derivative of 1/5*i**3 - 2/5*i**2 + 1/6*i**4 + 5*i + 0. Let p(h) = 0. Calculate h.
-1, 2/5
Let u(y) be the first derivative of -y**6/1800 - y**5/600 - 2*y**3/3 - 2. Let q(d) be the third derivative of u(d). Factor q(b).
-b*(b + 1)/5
Let d be 14/8 + (-13)/26. Suppose -3/4*n**2 + n**4 + d*n - 2*n**3 + 1/2 = 0. What is n?
-1/2, 1, 2
Determine p, given that -19*p**2 + 21*p**5 - 3*p - 9*p**3 - 4*p**2 + 48*p**4 - 9*p - 25*p**2 = 0.
-2, -1, -2/7, 0, 1
Let s(b) be the third derivative of b**7/105 - b**6/20 + b**5/10 - b**4/12 - 6*b**2. Factor s(r).
2*r*(r - 1)**3
Let m(q) be the second derivative of 3*q**6/55 + 3*q**5/10 + 6*q**4/11 + 4*q**3/11 - 2*q. Solve m(i) = 0 for i.
-2, -1, -2/3, 0
Solve -3/4*b - 3/4*b**5 + 0 + 3/2*b**3 + 0*b**4 + 0*b**2 = 0 for b.
-1, 0, 1
Let y = 1 - 1. Let c = 551/14 + -272/7. Factor y + 1/2*b - c*b**2.
-b*(b - 1)/2
Let a(f) be the third derivative of -f**8/2352 - f**7/1470 + f**6/840 + f**5/420 + 5*f**2. Solve a(b) = 0 for b.
-1, 0, 1
Let m = -421/15 + 142/5. Determine i, given that 1/3 + 1/3*i**3 - m*i - 1/3*i**2 = 0.
-1, 1
Let c(b) be the third derivative of -b**5/20 - 16*b**2. Factor c(m).
-3*m**2
Let z(v) be the first derivative of 2*v**6/135 + v**5/90 - v**4/36 - v**3/3 + 1. Let f(k) be the third derivative of z(k). Determine q, given that f(q) = 0.
-1/2, 1/4
Let a(l) be the second derivative of -l**4/54 + l**3/27 - 25*l. Factor a(g).
-2*g*(g - 1)/9
Suppose -2*g - 4*n = -0*n - 18, 5*g - 31 = -3*n. Let p(o) be the second derivative of 0*o**4 + 1/3*o**3 + 0 - 1/10*o**g - 2*o + 0*o**2. Factor p(t).
-2*t*(t - 1)*(t + 1)
Let f be 21/15 - (-1 - -2). Find d, given that 0 - f*d**2 + 2/5*d = 0.
0, 1
Let s(y) be the third derivative of y**10/105840 - y**8/11760 + y**6/2520 - y**4/12 - 4*y**2. Let t(q) be the second derivative of s(q). Factor t(c).
2*c*(c - 1)**2*(c + 1)**2/7
Suppose -2*w - 5 + 14 = -3*g, -3*w - g = -8. Solve 2*k**5 - 2*k**3 - 4*k**w + 8*k**3 - 4*k**4 = 0 for k.
0, 1
What is l in -2/11*l**4 - 2 + 24/11*l**2 - 20/11*l**3 + 20/11*l = 0?
-11, -1, 1
Let u(y) be the third derivative of -y**2 + 0*y**3 - 1/18*y**4 + 0*y + 0 + 1/60*y**6 + 1/90*y**5. Solve u(c) = 0 for c.
-1, 0, 2/3
Let d = 230/7 - 32. Solve -4/7*j**2 - d*j - 2/7 = 0 for j.
-1, -1/2
Let y(c) be the second derivative of -2*c**5/35 - 5*c**4/21 - 2*c**3/7 - 50*c. Find z such that y(z) = 0.
-3/2, -1, 0
Let j(f) = 4*f**2 + 5*f - 3. Let w(q) be the first derivative of q**3/3 + q**2/2 - q - 2. Let t(s) = 2*j(s) - 6*w(s). Suppose t(b) = 0. What is b?
-2, 0
Let f = -527/3 - -179. Factor 2/3*y**3 - 4/3 + f*y - 8/3*y**2.
2*(y - 2)*(y - 1)**2/3
Let g(z) be the third derivative of -1/150*z**5 + 3/100*z**6 - 1/30*z**4 + 0 + 1/168*z**8 + 0*z**3 + 0*z + 13/525*z**7 + 2*z**2. Factor g(p).
2*p*(p + 1)**3*(5*p - 2)/5
Let r(y) be the first derivative of -y**2 - 4*y - 3. Let q be r(-3). Solve 2/3*s**q - 2/3*s + 0 = 0.
0, 1
Let s(t) be the first derivative of -2*t - 1/2*t**2 - 1/20*t**5 - 1/4*t**4 - 3 - 1/2*t**3. Let j(u) be the first derivative of s(u). Factor j(a).
-(a + 1)**3
Let f = -3 - -5. Factor f*n**2 + n + 0*n**3 - 5*n**3 - n.
-n**2*(5*n - 2)
Let h(v) = 4*v**4 + v**3 - 3*v**2. Let p(j) = 23*j**4 + 5*j**3 - 17*j**2. Let c(w) = -34*h(w) + 6*p(w). Solve c(b) = 0 for b.
0, 2
Let w be -2*((-2)/(-40))/((-42)/56). Let b(i) be the first derivative of -w*i**3 - 1/5*i**2 + 1/10*i**4 + 2/5*i + 2. Solve b(t) = 0 for t.
-1, 1
Let b(c) = -4*c - 10. Let u be b(-3). Let 0*v - 3/4*v**u + 3/4 = 0. What is v?
-1, 1
Find n, given that -2 - n - 10*n**2 - 1 + 10*n**3 + 2 - 5*n**4 + n**5 + 6*n = 0.
1
Let x be (5 - (6 + -4))/2. Let i = -29/3 - -61/6. Let -x*w - 1/2*w**3 - i - 3/2*w**2 = 0. What is w?
-1
Let l(w) = w**2 + 1. Let s(r) = 2*r**2 + 9*r - 1. Suppose 2*h + 4 = 2*o, 3*o + 4*h = -2*o - 17. Let f(d) = o*s(d) + 5*l(d). Determine v so that f(v) = 0.
1, 2
Let q(l) be the first derivative of 25*l**4/16 - 5*l**3/3 + l**2/2 + 4. Factor q(w).
w*(5*w - 2)**2/4
Suppose -4*y = -4*h + 48, -7 = 2*y - 5*h + 23. Let r = y + 10. Factor 1/3*b + r - 1/3*b**2 - 5/3*b**3 - b**4.
-b*(b + 1)**2*(3*b - 1)/3
Factor 0 + 5/2*i - 5/2*i**2.
-5*i*(i - 1)/2
Let t = -20 - -13. Let a(i) = i**2 + 9*i + 16. Let s be a(t). Let 27/7*c**s + 15/7*c**4 + 3/7*c - 39/7*c**3 - 6/7 = 0. What is c?
-2/5, 1
Let q(d) be the third derivative of 5*d**7/84 - d**6/16 - d**5/12 - 15*d**2. Suppose q(o) = 0. Calculate o.
-2/5, 0, 1
Let w(p) = 3*p**2 + 4*p - 7. Let u(g) = -g + 1. Let i(y) = -5*u(y) + w(y). Let i(k) = 0. Calculate k.
-4, 1
Let p(w) be the third derivative of -w**10/604800 + w**9/60480 - w**8/20160 - w**5/60 + w**2. Let m(c) be the third derivative of p(c). What is t in m(t) = 0?
0, 2
Factor 8*u**2 + 12*u**2 + 11*u**2 - 16 + 20*u - 33*u**2 - 2*u**3.
-2*(u - 2)*(u - 1)*(u + 4)
Let r = 2/69 + 116/759. Factor 2/11*a**2 - r*a**3 + 4/11*a + 0.
-2*a*(a - 2)*(a + 1)/11
Let g(v) be the third derivative of -v**6/120 + v**5/60 + v**4/24 - v**3/6 + 8*v**2. Suppose g(h) = 0. Calculate h.
-1, 1
Suppose -h + 8 = 3*h. Let j be 1/((3 - 2)/h). Factor 1/2 - 5/4*a**j + 3/4*a.
-(a - 1)*(5*a + 2)/4
Suppose 0*i + 1/5*i**2 - 1/10*i**4 + 0 - 1/10*i**3 = 0. What is i?
-2, 0, 1
Let c(v) be the third derivative of -v**8/1176 - 4*v**7/735 - v**6/105 - 5