ivative of z**7/56 + z**6/40 - 3*z**5/80 - z**4/16 - 52*z. Let s(m) = 0. What is m?
-1, 0, 1
Let j(o) be the second derivative of -o**5/5 + 2*o**4/3 + 10*o**3/3 - 12*o**2 + 30*o. Factor j(t).
-4*(t - 3)*(t - 1)*(t + 2)
Let s be -1 + -3 + 2 + 4. What is z in -6*z + 7*z - z + z**s = 0?
0
Let j(p) be the second derivative of 0*p**2 - 1/4*p**4 + 3*p - 1/6*p**3 - 1/30*p**6 - 3/20*p**5 + 0. Factor j(t).
-t*(t + 1)**3
Let g(w) = -3*w - 68. Let n be g(-24). What is b in 2/5*b**n + 0 - 8/5*b + 0*b**2 + 6/5*b**3 = 0?
-2, 0, 1
Let v(b) = -b**3 - 7*b**2 + 2. Let x(w) = -w**2 + 2. Let z be x(-3). Let j be v(z). Find g, given that -g**3 + 3*g**4 + 0*g**5 - 2*g**4 - g**j + g**5 = 0.
-1, 0, 1
Let b = 716/1065 - 2/355. Factor 0*w - b*w**2 - 2/3*w**5 + 2/3*w**3 + 0 + 2/3*w**4.
-2*w**2*(w - 1)**2*(w + 1)/3
Let p(x) be the first derivative of -1/7*x**2 - 2/21*x**3 + 4/7*x + 4. Find u, given that p(u) = 0.
-2, 1
Factor -1/3*m**4 + 1/3*m**3 + 2*m**2 - 4/3*m - 8/3.
-(m - 2)**2*(m + 1)*(m + 2)/3
Suppose 91 = -6*n - n. Let w(d) = -d**2 - 14*d - 11. Let b be w(n). Factor -4/11*j**4 + 0 + 0*j**b - 2/11*j**3 - 2/11*j**5 + 0*j.
-2*j**3*(j + 1)**2/11
Let x(q) = -7*q**3 - 21*q**2 - q + 3. Let d be (-5 - -10)*1/(-1). Let b(y) = 18*y**3 + 52*y**2 + 2*y - 8. Let r(o) = d*b(o) - 12*x(o). Factor r(m).
-2*(m + 1)**2*(3*m - 2)
Let a(g) be the third derivative of -g**8/3192 + g**6/285 - g**5/285 - g**4/76 + 2*g**3/57 - 23*g**2. Find p such that a(p) = 0.
-2, -1, 1
Let y(m) be the first derivative of m**5/180 - m**3/18 + 2*m**2 + 7. Let b(t) be the second derivative of y(t). Factor b(h).
(h - 1)*(h + 1)/3
Let h be (-67 + 7)*2/(-5). Suppose -h = 4*v - 2*v. Let p(w) = w**2 - w. Let g(y) = -4*y**2 - 2*y - 4. Let u(s) = v*p(s) - g(s). Suppose u(q) = 0. Calculate q.
-1/4, 2
Let u be ((-11)/22)/((-1)/8). Determine s, given that 3*s**2 - 4*s**2 - 3*s**2 - 2*s**u - 6*s**3 = 0.
-2, -1, 0
Factor 4/9*j**4 + 0 + 13/9*j**2 + 1/3*j + 16/9*j**3.
j*(j + 3)*(2*j + 1)**2/9
Factor -65*i**2 - 25 + 31*i + 60*i**2 - i.
-5*(i - 5)*(i - 1)
Let u(j) be the second derivative of -j**6/90 + j**5/60 + j**4/12 - j**3/18 - j**2/3 - 8*j. Find y, given that u(y) = 0.
-1, 1, 2
Factor i**3 - 1/3*i**4 + 0 + 0*i - 2/3*i**2.
-i**2*(i - 2)*(i - 1)/3
Let z(k) be the second derivative of k**6/300 + k**5/75 + k**4/60 + k**2/2 + 3*k. Let n(l) be the first derivative of z(l). Factor n(o).
2*o*(o + 1)**2/5
Let o(r) be the third derivative of 1/1260*r**6 - 3*r**2 - 1/2*r**3 + 1/140*r**5 + 1/42*r**4 + 0 + 0*r. Let m(z) be the first derivative of o(z). Factor m(l).
2*(l + 1)*(l + 2)/7
Let z(q) = 15*q**3 + q**2 - q + 5*q**2 - 14*q**3. Let t(k) = -3*k**3 - 17*k**2 + 3*k. Let g be -5 + (-2 - 0)/2. Let l(w) = g*t(w) - 17*z(w). Factor l(p).
p*(p - 1)*(p + 1)
Let o(k) be the third derivative of -11*k**7/70 - k**6/2 - 7*k**5/20 + k**4/4 - 50*k**2. Factor o(j).
-3*j*(j + 1)**2*(11*j - 2)
Let z be (11/(-4))/(12/592). Let v = 137 + z. Factor 0 - v*w**2 + 1/3*w.
-w*(4*w - 1)/3
Let v(j) be the second derivative of -2*j**7/105 + 2*j**6/15 - 2*j**5/5 + 2*j**4/3 - 2*j**3/3 + 2*j**2/5 - 10*j. Factor v(n).
-4*(n - 1)**5/5
Let r(f) be the third derivative of f**6/24 - f**5/20 - f**4/12 + 7*f**2. Factor r(h).
h*(h - 1)*(5*h + 2)
Let g(f) be the third derivative of -f**2 + 0*f + 1/300*f**5 + 0 + 1/15*f**3 + 1/40*f**4. Factor g(u).
(u + 1)*(u + 2)/5
Let f be ((-4)/242)/(3/3). Let b = 127/363 + f. Factor b + 1/3*x**5 + 2/3*x**2 + 2/3*x**3 - x - x**4.
(x - 1)**4*(x + 1)/3
Suppose -3*g = 2*g - 25. Let d(i) be the second derivative of i**4 - i + 1/6*i**3 + 12/5*i**g + 0 + 32/15*i**6 + 0*i**2. Factor d(l).
l*(4*l + 1)**3
Let f(j) be the first derivative of -j**7/105 + j**5/30 + 3*j**2/2 + 1. Let i(m) be the second derivative of f(m). Factor i(k).
-2*k**2*(k - 1)*(k + 1)
What is w in 18*w - 10 + 25*w - 44*w**2 + 2 + 9*w = 0?
2/11, 1
Suppose 0*s + 5*s - 29 = u, -4*u = -2*s + 8. Let 0*i**3 + 2*i**2 + 4*i**3 - s*i**3 - i + 3*i**3 - 2 = 0. Calculate i.
-2, -1, 1
Determine x, given that -3/7*x**5 + 0 - 12/7*x**2 + 0*x**3 + 9/7*x**4 + 0*x = 0.
-1, 0, 2
Factor -14*c - 30 + 12*c + 15*c - 3*c**2 + 20*c.
-3*(c - 10)*(c - 1)
Let m(h) be the third derivative of -h**5/15 + 2*h**4/3 - 2*h**3 - 9*h**2. Let m(k) = 0. What is k?
1, 3
Let c(h) be the first derivative of 1/30*h**5 - 2 - 2/27*h**3 - 1/54*h**4 + 0*h**2 + 3*h. Let y(w) be the first derivative of c(w). Find p, given that y(p) = 0.
-2/3, 0, 1
Let z(k) be the first derivative of -k**4/5 - 16*k**3/15 - 2*k**2 - 8*k/5 - 12. Suppose z(y) = 0. What is y?
-2, -1
Suppose 0 = -5*j - 187 + 987. Let z be (-2)/1 + j/70. Factor 0*n**3 + 0 - z*n**2 + 2/7*n**4 + 0*n.
2*n**2*(n - 1)*(n + 1)/7
Let q(l) be the second derivative of -l**7/42 + l**5/10 - l**3/6 - 25*l. Factor q(b).
-b*(b - 1)**2*(b + 1)**2
Let u(n) be the third derivative of n**8/168 - n**6/60 - 7*n**2. Factor u(o).
2*o**3*(o - 1)*(o + 1)
Let n(r) be the first derivative of 4*r**3/3 - 28*r**2 + 52*r + 27. Let n(f) = 0. Calculate f.
1, 13
Let c(i) be the first derivative of -2*i**3 + 31*i**2/2 - 59*i + 2. Let j(x) = -9*x**2 + 47*x - 88. Let p(b) = -7*c(b) + 5*j(b). Factor p(w).
-3*(w - 3)**2
Let k(t) = t**3 - 8*t**2 + 3. Let w be k(8). Factor -4*n - 5*n**2 - 4*n**w + 4*n + 2*n**4 - 3*n**4 - 2*n.
-n*(n + 1)**2*(n + 2)
Suppose 6*w = 4*w + 8. Suppose 4*f + w*l + 12 = 0, -4*f + l + 7 = -6. Factor 0 - 1/4*q**4 + 1/2*q**3 - 1/4*q**f + 0*q.
-q**2*(q - 1)**2/4
Let c(s) be the first derivative of -4*s**3/3 - 8*s**2 - 16*s - 3. Find g, given that c(g) = 0.
-2
Suppose 0 = 2*c + 3*c - 55. Suppose 2*j = c + 3. Factor 0*b - b**2 - j*b**2 - 30*b**3 + 2*b + 6*b.
-2*b*(3*b + 2)*(5*b - 2)
Suppose 0 = -2*p - 2*c - 2 - 26, 4*c - 56 = 3*p. Let h be p/42 - 2/(-3). Let -h*s**3 - 10/7*s**2 - 16/7*s - 8/7 = 0. Calculate s.
-2, -1
Let i(r) be the third derivative of -r**8/3360 - r**4/12 - 3*r**2. Let w(u) be the second derivative of i(u). Suppose w(a) = 0. Calculate a.
0
Suppose 0 = -5*z + 8*z - 12. Suppose -z*j = -2*t - 8, 3*t = 5*j - 0*t - 10. Factor -2*y + 2/3 - 2/3*y**j + 2*y**3.
2*(y - 1)*(y + 1)*(3*y - 1)/3
Let w(p) be the third derivative of p**8/1344 - p**7/280 - p**6/480 + 11*p**5/240 - p**4/8 + p**3/6 - 11*p**2. Suppose w(j) = 0. Calculate j.
-2, 1, 2
Let l(r) be the second derivative of 0 + 2/3*r**3 - 1/3*r**4 - 1/5*r**5 + 2*r**2 + 3*r. Factor l(z).
-4*(z - 1)*(z + 1)**2
Let o(f) = -f - 6. Let q be o(-6). Let b(p) be the third derivative of -1/300*p**6 + 0*p**3 - 1/525*p**7 + 4*p**2 + 1/75*p**5 + q*p + 0 + 0*p**4. Factor b(j).
-2*j**2*(j - 1)*(j + 2)/5
Let i(g) be the second derivative of g**6/6 - g**5/2 + 5*g**3/3 - 5*g**2/2 - g. Solve i(c) = 0 for c.
-1, 1
Let d be (8/(-14))/(-5*(-6)/(-15)). Factor -2/7*r**5 - 12/7*r**3 + 0 + 8/7*r**2 - d*r + 8/7*r**4.
-2*r*(r - 1)**4/7
Suppose -5*q + 2 = -18. Factor -k**3 + 3*k**3 - 2*k + 5*k**2 - 4*k**2 + 3*k**2 - q.
2*(k - 1)*(k + 1)*(k + 2)
Suppose 0 = 2*f + z - 0 - 7, -3*z = -9. What is m in 24*m - 4*m**f - 21*m + m**2 = 0?
0, 1
Let t = 45/94 + 1/47. Find j, given that 0 + 1/2*j**3 - t*j**4 + 0*j**2 + 0*j = 0.
0, 1
Let w(y) be the first derivative of y**9/4536 + y**8/2520 - y**7/1260 - y**6/540 + 5*y**3/3 + 7. Let n(o) be the third derivative of w(o). Factor n(l).
2*l**2*(l - 1)*(l + 1)**2/3
Let r(k) = 3*k**3 - 3*k**4 - 3*k**3 - 6*k + 4*k**2. Let i(d) = 10*d**4 + d**3 - 12*d**2 + 17*d. Let q(w) = -6*i(w) - 21*r(w). Factor q(u).
3*u*(u - 2)**2*(u + 2)
Factor 2/7*u**2 - 4/7 + 2/7*u.
2*(u - 1)*(u + 2)/7
Let m(x) be the second derivative of x**5/70 - 11*x**4/42 + 5*x**3/3 - 25*x**2/7 + 14*x. Suppose m(g) = 0. Calculate g.
1, 5
Let h = 7396/5 + -1474. Let w(b) be the first derivative of h*b**5 - 2 + 16/3*b**3 + 17/2*b**4 - 2*b - 1/2*b**2 + 7/6*b**6. Factor w(v).
(v + 1)**4*(7*v - 2)
Let k(r) be the third derivative of r**9/3024 - r**8/280 + r**7/70 - r**6/45 + 2*r**3/3 - 2*r**2. Let n(b) be the first derivative of k(b). Factor n(y).
y**2*(y - 2)**3
Let j be 1 + 3 - (1 + 1). Suppose -45*t**2 + 47*t**j - t - t = 0. What is t?
0, 1
Let h(j) = j**3 - j - 1. Let f(l) = -12*l**4 + 52*l**3 - 36*l**2 - 4*l - 12. Let r = 27 - 39. Let m(k) = r*h(k) + f(k). Factor m(v).
-4*v*(v - 2)*(v - 1)*(3*v - 1)
Let u(m) be the first derivative of m**5/25 - 28. Factor u(c).
c**4/5
Let p(j) = 8*j**5 - 9*j**4 - 6*j**3 - 7. Let k(b) = b**5 - b**4 - b**3 - 1. Suppose 