 of 7*p**6/540 + 8*p**5/135 + p**4/27 - 3*p**2. Suppose q(j) = 0. What is j?
-2, -2/7, 0
Let x(z) be the first derivative of -4*z**3/3 - 15*z**2/2 + 4*z - 11. What is h in x(h) = 0?
-4, 1/4
Let q(w) be the second derivative of -w**7/98 + 2*w**6/35 - 3*w**5/35 + 26*w. Determine c, given that q(c) = 0.
0, 2
Let h(p) be the second derivative of -p**5/30 + p**4/18 + 5*p**3/9 + p**2 - 14*p. Factor h(u).
-2*(u - 3)*(u + 1)**2/3
Let 0*r**3 + 3/2*r**2 + 0 - 3/4*r**5 + 3/4*r - 3/2*r**4 = 0. Calculate r.
-1, 0, 1
Let d(q) be the second derivative of q**6/75 - q**5/50 - q**4/6 - q**3/5 + 4*q. Factor d(l).
2*l*(l - 3)*(l + 1)**2/5
Let y = 22 - 11. Suppose 0 = v - y - 1. Let -5*o**4 - v*o**2 - 24*o**3 - 6*o**5 - 2*o - 15*o**4 + 0*o**4 = 0. What is o?
-1, -1/3, 0
Let u(h) = h**3 + 5*h**2 + 6*h + 6. Let q = -44 + 31. Let y(a) = -2*a**3 - 11*a**2 - 13*a - 13. Let i(l) = q*u(l) - 6*y(l). Factor i(r).
-r**2*(r - 1)
Let u(l) be the second derivative of -l**6/360 + l**5/120 + l**3/6 - 2*l. Let r(n) be the second derivative of u(n). Determine a, given that r(a) = 0.
0, 1
Let h(a) = -3*a**5 - 5*a**4 - 5*a**3 + a**2 + 2. Let d(q) = -25*q**5 - 41*q**4 - 41*q**3 + 9*q**2 + 17. Let v(x) = -6*d(x) + 51*h(x). What is j in v(j) = 0?
-1, 0
Let r(k) be the second derivative of -k + 0 + 0*k**2 - 2/15*k**3 - 1/30*k**4. Factor r(n).
-2*n*(n + 2)/5
Let w(q) be the third derivative of -q**6/120 + q**5/60 + q**4/24 - q**3/6 + 13*q**2. Solve w(j) = 0 for j.
-1, 1
Let c(a) be the second derivative of -32*a**7/21 - 128*a**6/15 - 63*a**5/5 + 4*a**4/3 + 8*a**3/3 - 45*a. Find i, given that c(i) = 0.
-2, -1/4, 0, 1/4
Let x = -1785/44 + 163/4. Find t such that 0*t + 0*t**3 - 4/11*t**2 + 2/11*t**4 + x = 0.
-1, 1
Suppose 5*l - 6 = 3*b - 2*b, -3*b = 5*l - 22. Suppose -15*r**4 + r**2 + 13*r**4 + r**l = 0. Calculate r.
-1, 0, 1
Let z(i) be the second derivative of 9*i - 1/231*i**7 + 0*i**2 + 2/165*i**6 + 0*i**3 - 1/110*i**5 + 0*i**4 + 0. Find q, given that z(q) = 0.
0, 1
Let j(y) = -y**5 - y**4 + y**2 - y + 1. Let l(b) = -6*b**5 + 4*b**4 - 6*b**3 - 4*b**2 + 4*b + 4. Let t(d) = 4*j(d) - l(d). Factor t(v).
2*v*(v - 2)**2*(v - 1)*(v + 1)
Let t = 61 - 61. Let m(b) be the third derivative of 0*b - 1/60*b**6 - 1/105*b**7 + 1/12*b**4 + 1/30*b**5 + 0*b**3 - 2*b**2 + t. Factor m(g).
-2*g*(g - 1)*(g + 1)**2
Let d be -3*((-143)/440 - 2/(-16)). Factor -d*q**2 - 3/5 - 6/5*q.
-3*(q + 1)**2/5
Let s = -11/9 + 17/9. Determine b so that -b - 1/3 + b**3 - 1/3*b**2 + s*b**4 = 0.
-1, -1/2, 1
Let j = -43 - -93. Let n be (-30)/3*(-4)/j. Factor n*y - 2/5*y**2 + 0 - 2/5*y**3.
-2*y*(y - 1)*(y + 2)/5
Let r(d) be the second derivative of d**8/26880 - d**6/2880 + d**4/6 + 3*d. Let u(x) be the third derivative of r(x). Factor u(b).
b*(b - 1)*(b + 1)/4
Let f be (-5 - -2)*3 - -3. Let o be 0 + -4*f/8. What is d in 0 - 3/4*d**o + 3/4*d**2 + 1/4*d**4 - 1/4*d = 0?
0, 1
Let x(f) = 4*f**4 - 10*f**3 + 18*f**2 - 22*f + 4. Let c(o) = -4*o**4 + 11*o**3 - 19*o**2 + 21*o - 4. Let k(a) = 6*c(a) + 5*x(a). Factor k(t).
-4*(t - 1)**4
Let x = -9416/1805 - -6/361. Let z = x - -28/5. Factor -4/5*s - 2/5*s**2 - z.
-2*(s + 1)**2/5
Let d(n) = -4*n**2 - 13*n + 12. Let m(y) = 2*y**2 - 2*y - 2*y + 4 - 3*y**2 + 0. Let b(t) = 4*d(t) - 11*m(t). Let b(w) = 0. What is w?
-2, 2/5
Let a(f) be the first derivative of -16*f**3/9 + 2*f**2 + 4*f/3 + 11. Factor a(i).
-4*(i - 1)*(4*i + 1)/3
Let a(r) be the first derivative of -3*r**4/20 - 7*r**3/5 - 33*r**2/10 - 3*r + 32. What is o in a(o) = 0?
-5, -1
Let x be ((-3)/2)/((-3)/4). Let p = 4 - 4. Factor p + 1/4*i**x + 0*i.
i**2/4
Let v(q) = 31*q**3 + 58*q**2 - q - 7. Let c(b) = 61*b**3 + 115*b**2 - 3*b - 13. Let k(u) = 3*c(u) - 5*v(u). Determine l, given that k(l) = 0.
-2, -1/4, 2/7
Let j(c) be the third derivative of 9/40*c**6 - 3*c**2 + 1/28*c**8 - 11/70*c**7 - 1/20*c**5 + 0*c**3 + 0 + 0*c - 1/8*c**4. Suppose j(b) = 0. What is b?
-1/4, 0, 1
Let p(l) be the third derivative of 0 - 1/32*l**4 + 1/280*l**7 + 0*l**3 - 3/160*l**6 + 0*l + 3/80*l**5 + 4*l**2. Determine t so that p(t) = 0.
0, 1
Let d(u) be the second derivative of -u**5/210 - u**4/84 + 5*u**2/2 + u. Let l(q) be the first derivative of d(q). Factor l(b).
-2*b*(b + 1)/7
Let j(b) be the third derivative of b**10/12096 + b**9/2688 + b**8/1680 + b**7/2520 - b**5/20 + 2*b**2. Let d(o) be the third derivative of j(o). Factor d(m).
m*(m + 1)*(5*m + 2)**2/2
Suppose -4/3*w - 20/3*w**4 - 17/3*w**3 - 4/3 + 15*w**2 = 0. What is w?
-2, -1/4, 2/5, 1
Let l(i) be the first derivative of -5*i**6/6 - 3*i**5 - 5*i**4/2 + 10*i**3/3 + 15*i**2/2 + 5*i + 29. Suppose l(o) = 0. What is o?
-1, 1
Let o(g) = 6*g - 105. Let s be o(18). Determine h so that 2/3*h**2 + 0 + h**s + 0*h + 1/3*h**4 = 0.
-2, -1, 0
Let d be (-9)/2*8/(-12). Factor 2*s**2 - d*s**2 - 2*s**3 + 0*s**2 - s**2.
-2*s**2*(s + 1)
Let w(g) be the first derivative of -1/3*g**2 + 0*g - 1 - 4/9*g**3 + 1/6*g**4 + 4/15*g**5. Find j such that w(j) = 0.
-1, -1/2, 0, 1
Factor -5 - 12*m - 3 - 3*m**2 - 6 + 2.
-3*(m + 2)**2
Let c(v) be the second derivative of 0 - 1/5*v**2 - 1/60*v**4 - 1/10*v**3 - 3*v. Factor c(g).
-(g + 1)*(g + 2)/5
Let i be (14 + -14)/((-2)/(-1)). Factor 0*o + 0*o**2 + 4/7*o**3 + 4/7*o**4 + i.
4*o**3*(o + 1)/7
Let v = -4 - 0. Let c = v - -4. Determine z so that z**2 - 1/3*z**3 - z**4 + c + 1/3*z = 0.
-1, -1/3, 0, 1
Let c be (12/(-42))/(30/(-14) - -2). Let u(s) be the first derivative of 1/6*s**3 - 1/4*s**c + 1/8*s**4 - 2 - 1/2*s. Factor u(p).
(p - 1)*(p + 1)**2/2
Suppose 0 = -5*q + 14*q - 27. Factor 1/2*v**4 - 1/2*v**2 + 1/2*v - 1/2*v**q + 0.
v*(v - 1)**2*(v + 1)/2
Determine a so that 0*a**2 + 0*a + 3/2*a**4 + 0 - 3/2*a**3 = 0.
0, 1
Suppose 16/3 - 4/3*s**2 + 0*s = 0. What is s?
-2, 2
Let f(n) be the third derivative of 1/600*n**6 + 0 + 6*n**2 + 0*n**3 - 1/120*n**4 + 0*n**5 + 0*n. Factor f(r).
r*(r - 1)*(r + 1)/5
Let k(l) be the third derivative of -1/12*l**4 + 1/60*l**5 + 0*l + 0 - 2*l**2 + 0*l**3. Factor k(o).
o*(o - 2)
Suppose 4*m - 3*m + 3 = s, 2*m + 2 = 0. Suppose 0 = -c + s. Factor -y - c*y - 7*y**2 - 2 + 6*y**2.
-(y + 1)*(y + 2)
Let r(s) be the third derivative of -s**8/60 - s**7/105 + 5*s**3/6 - 6*s**2. Let o(h) be the first derivative of r(h). Factor o(a).
-4*a**3*(7*a + 2)
Let w(n) be the third derivative of n**5/20 - n**4/4 - 4*n**3 + 15*n**2. Let w(h) = 0. What is h?
-2, 4
Suppose -9 = -5*k - 0*s + 3*s, 5*k + 12 = -4*s. Solve 3/2*r**5 + 0*r**3 + 0*r**2 + 0*r + k + 3/2*r**4 = 0 for r.
-1, 0
Let m = -17/6 - -101/30. Let 4/15*h**2 - 8/15*h**3 + 2/15*h**4 - 2/5 + m*h = 0. Calculate h.
-1, 1, 3
Suppose 45 = 5*u + 5*p, -p + 29 = 5*u - 0*p. Suppose 0 = u*m + z - 7, -m - 2*z + 4 = 8. Determine d, given that -d**m + 1/2*d + 0 + 1/2*d**3 = 0.
0, 1
Let j(m) = m**3 - 6*m**2 - m + 9. Let r be j(6). Factor 0*l + 0 + 2/5*l**r - 2/5*l**2.
2*l**2*(l - 1)/5
Let o(g) be the third derivative of -g**7/490 - g**6/140 + 3*g**5/140 + g**4/14 - 2*g**3/7 + 16*g**2. What is n in o(n) = 0?
-2, 1
Let g(y) be the first derivative of -2*y**3/3 - 2*y**2 - 4. Let g(l) = 0. Calculate l.
-2, 0
Let s(n) = -2*n**3 - 3*n + 5. Let i(w) = -6 + 4*w**3 + 0*w + 3*w - w**3. Let x(k) = -3*i(k) - 4*s(k). Solve x(m) = 0.
-2, 1
Let h(w) = 2*w**3 - 2*w**2 + 2*w. Let b(v) = -2*v**3 + 2*v**2 - v. Let d(x) = 3*b(x) + 2*h(x). Let f(a) = a**3 - a**2 - a. Let z(s) = -d(s) - f(s). Factor z(q).
q**2*(q - 1)
Let u be (-2)/12 + 70/(-12). Let m be u/(-2 - 0) - 0. Solve 5*a + 2*a**m + 2*a**5 - 4*a**4 - a - 4*a = 0 for a.
0, 1
Let z be ((-4)/8)/((-3)/30). Find r such that -2*r**4 + 0 - 3*r**2 + z*r**2 + 0 = 0.
-1, 0, 1
Let i(x) be the third derivative of x**9/211680 + x**5/30 - 3*x**2. Let l(d) be the third derivative of i(d). Factor l(u).
2*u**3/7
Find d, given that -17*d + 5*d**3 - 10 + 2*d + 143*d**2 - 143*d**2 = 0.
-1, 2
Let j(d) be the third derivative of d**8/1680 - 3*d**7/350 + d**6/20 - 23*d**5/150 + 11*d**4/40 - 3*d**3/10 + 8*d**2. Factor j(h).
(h - 3)**2*(h - 1)**3/5
Factor -2/5*b**3 - 6/5 + 2*b - 2/5*b**2.
-2*(b - 1)**2*(b + 3)/5
Solve 0 + 0*y**3 + 0*y - 1/4*y**4 + 1/4*y**2 = 0 for y.
-1, 0, 1
Let -1/2*o**2 - 1/2*o + 1 = 0. Calculate o.
-2, 1
Let m(s) be the first derivative of -s**6/420 - s**2/2 - 1. Let h(j) be the second derivative of m(j). Let h(v) = 0. Calculate v.
0
Factor 12/7*j - 3/7*j**2 - 9/7.
-3*(j - 3)*(j - 1)/7
Let k be (-27)/6*(-1)