 the second derivative of n(k). What is v in d(v) = 0?
-1, 0, 2
Let p be 9/6 + 4/8. Let x(i) be the second derivative of 2*i + 0*i**p + 1/60*i**5 + 1/36*i**4 - 1/90*i**6 - 1/126*i**7 + 0 + 0*i**3. Factor x(y).
-y**2*(y - 1)*(y + 1)**2/3
Let 0 - 2/11*j + 2/11*j**2 = 0. Calculate j.
0, 1
Let x(b) be the first derivative of -8/3*b**3 + 8*b + 10*b**2 - 5*b**4 + 7. Factor x(m).
-4*(m - 1)*(m + 1)*(5*m + 2)
Let l = 4571/5 - 914. Factor 3/5*y - l*y**2 - 2/5.
-(y - 2)*(y - 1)/5
Let j be 14/18 + 6/27. Suppose 5 = -u + j. Let t(f) = f**2. Let m(c) = c**2 - 4*c - 4. Let r(x) = u*t(x) + 2*m(x). Factor r(n).
-2*(n + 2)**2
Let x(w) be the first derivative of -7 + w**4 + 2*w**2 + 0*w - 8/3*w**3. Factor x(t).
4*t*(t - 1)**2
Let x(q) = -20*q**3 + 44*q**2 + 20*q - 28. Let d(s) = -13*s**3 + 29*s**2 + 13*s - 19. Let u(n) = 8*d(n) - 5*x(n). Factor u(j).
-4*(j - 3)*(j - 1)*(j + 1)
Let f(s) be the first derivative of s**3/3 - 3*s**2 + s + 1. Let t be f(6). Suppose t + d**3 - 1 - d = 0. Calculate d.
-1, 0, 1
Let n(o) be the second derivative of o**4/18 - 9*o. Factor n(q).
2*q**2/3
Factor -3/2*t**4 + 0*t**3 + 0 + 9/2*t**2 - 3*t.
-3*t*(t - 1)**2*(t + 2)/2
Let a(t) be the second derivative of t**5/20 - 5*t**4/12 + t**2 - 2*t. Let s be a(5). Determine g, given that g**2 + 8 - 6 - 3*g**s = 0.
-1, 1
Let j(b) be the second derivative of -b**4/4 + 2*b. Let j(f) = 0. What is f?
0
Let q = 167/110 + -7/22. Factor -2/5 + q*f**2 - 4/5*f.
2*(f - 1)*(3*f + 1)/5
Suppose -3*x - c = 3*c + 6, -5*c - 25 = -5*x. Suppose 3/4*f - 1/4*f**x - 1/2 = 0. What is f?
1, 2
Suppose r = 4*p, -p + 1 = -0. Let n(l) = -l + 1. Let a be n(-5). Suppose 1 - a - 4*d**3 + 4*d + 2*d**r + 3 = 0. What is d?
-1, 1
Suppose -h = 4*w + 6, 5*h - 2*w = 3*w + 20. Let u be 1 - 1*(-1)/(-3). Factor u*r + 0 - 2/3*r**h.
-2*r*(r - 1)/3
Let h be 5/(15/9) - -2. Suppose -a**2 - a**2 + 0*a**3 + 2*a**4 - 2*a**h + 2*a**3 = 0. What is a?
-1, 0, 1
Let i(m) = -m + 6. Let w be i(4). Suppose 13*h**3 + 7*h**3 + 10*h - 12*h**2 - 8*h**w - 10*h**4 + 17*h**5 - 2 - 15*h**5 = 0. Calculate h.
1
Factor 9/2*u**2 + 3/2*u**3 + 0 + 3*u.
3*u*(u + 1)*(u + 2)/2
Let s(u) = -3*u**4 - 2*u. Let n(x) = x**4 + x**3 - x. Suppose 8*r - 3*r - 15 = 0. Let c be 0*r/6 + 2. Let d(q) = c*n(q) - s(q). Solve d(m) = 0 for m.
-2/5, 0
Suppose 0*o - 1/6*o**2 + 1/6 = 0. What is o?
-1, 1
Let o(z) = -5*z**5 - 2*z**4 + 8*z**3 - 2*z**2 - 3*z + 2. Let p(w) = 6*w**5 + 3*w**4 - 9*w**3 + 3*w**2 + 3*w - 3. Let y(k) = -3*o(k) - 2*p(k). Factor y(m).
3*m*(m - 1)**2*(m + 1)**2
Suppose 4*h - 4 = 3*h. Factor -2*l**3 + 4*l**2 - h*l**2 + 2*l.
-2*l*(l - 1)*(l + 1)
Find j such that -3*j + 0 + 3/4*j**3 + 0*j**2 = 0.
-2, 0, 2
Let b(k) be the first derivative of 4*k**2 - 3*k + 13. Let u be b(1). Let -2/7*n**4 - 16/7*n**3 + 8/7*n**u + 8/7*n + 4/7*n**2 - 2/7 = 0. What is n?
-1, 1/4, 1
Factor 3/4*u**5 - 75/4*u**2 - 3 - 21/4*u**4 + 12*u + 57/4*u**3.
3*(u - 2)**2*(u - 1)**3/4
Let h(y) be the first derivative of -10*y**6/3 + 28*y**5/5 + 8*y**4 - 16*y**3/3 + 4. Solve h(d) = 0.
-1, 0, 2/5, 2
Let q(z) be the third derivative of -z**8/20160 + z**7/2520 - z**6/720 - z**5/30 + 3*z**2. Let d(n) be the third derivative of q(n). Factor d(s).
-(s - 1)**2
Let y(x) be the second derivative of 1/45*x**6 + 0*x**4 + 1/15*x**5 - 1/3*x**2 + 0 - 2/9*x**3 + 2*x. Determine a, given that y(a) = 0.
-1, 1
Let y(z) = 5*z**2 + 7*z + 11. Let i(c) = 4*c**2 + 8*c + 10. Let x(d) = 6*i(d) - 4*y(d). Factor x(t).
4*(t + 1)*(t + 4)
Let s(t) be the second derivative of -t**6/3 + 6*t**5/5 + t**4/6 - 4*t**3 + 4*t**2 - t. What is i in s(i) = 0?
-1, 2/5, 1, 2
Let c(b) = 11 + b**2 + 2 + 12*b + 0*b. Let r be c(-11). Factor 2*h**3 - h**3 + 3*h**2 + h - 8*h**r + 3*h**2.
h*(h - 1)**2
Let b be (2/4)/(3/12). Suppose -12 = -b*k - k. Factor 6*v**3 + 3*v**k + 2*v**5 + 5*v**4 - 2*v**4 + 2*v**2.
2*v**2*(v + 1)**3
Let i be -1*((-544)/(-56) + -10). Factor 0 + 6/7*j**4 - 4/7*j**3 + 0*j - i*j**5 + 0*j**2.
-2*j**3*(j - 2)*(j - 1)/7
Let t(f) be the third derivative of f**8/420 - 2*f**7/525 - f**6/75 + 2*f**5/75 + f**4/30 - 2*f**3/15 + 10*f**2. Suppose t(a) = 0. What is a?
-1, 1
Let m(l) = -l**3 + 5*l**2 - 3*l - 2. Let v be m(4). Let x be (-3)/v*(-2)/3. What is u in 0 + x + 3*u**2 - 1 + u + 3*u**3 + u**4 = 0?
-1, 0
Let o(l) be the first derivative of 6/7*l**3 + 2 + 0*l + 1/2*l**4 + 2/7*l**2. Find f such that o(f) = 0.
-1, -2/7, 0
Let k(r) = -3*r**2 + 19*r - 4. Let q be k(6). Determine a, given that -6/7*a**3 - 8/7*a**4 - 2/7*a + 8/7*a**q + 0 + 8/7*a**5 = 0.
-1, 0, 1/2, 1
Let p(m) be the second derivative of -147*m**5/20 - 35*m**4/2 + 26*m**3 - 12*m**2 + 2*m. Factor p(t).
-3*(t + 2)*(7*t - 2)**2
Let a = -1241/5 + 249. Factor -4/5*v + 0*v**2 - 2/5 + a*v**3 + 2/5*v**4.
2*(v - 1)*(v + 1)**3/5
Find j such that 6 + 0 - 3 - 2 - j**2 = 0.
-1, 1
Factor -9 - 9 + 52 - 20*s + 66 + s**2.
(s - 10)**2
Let c be 0 - (-1)/(3192/2596). Let p = c + 5/114. Factor -p*u**4 + 0*u**2 + 4/7*u**3 + 0 + 0*u.
-2*u**3*(3*u - 2)/7
Let b(s) be the third derivative of s**8/4200 + s**7/2100 - s**3/2 - 5*s**2. Let f(h) be the first derivative of b(h). Determine t so that f(t) = 0.
-1, 0
Suppose -f - 1 = 0, -6*p + 3*f + 31 = -2*p. Let i be 3/p*18/27. Determine z, given that -6/7*z**2 - 4/7*z + i = 0.
-1, 1/3
Let i(n) = -3*n**3 + 30*n**2 - 45*n + 20. Let m(b) = 5*b**3 - 60*b**2 + 90*b - 40. Let x(g) = -5*i(g) - 2*m(g). Factor x(z).
5*(z - 4)*(z - 1)**2
Let z(d) = -d**2 - 47*d - 246. Let y be z(-41). Let y - 2/5*c**3 + 0*c - 2/5*c**2 = 0. Calculate c.
-1, 0
Let u = -30 + 36. Let y(z) be the second derivative of 4/21*z**3 + 21/5*z**u - 2*z - 83/42*z**4 - 3/5*z**5 + 0 + 4/7*z**2. Find q, given that y(q) = 0.
-2/7, 1/3
Let c(k) be the third derivative of -5*k**8/112 - 38*k**7/105 - 9*k**6/10 - 7*k**5/10 + 11*k**4/24 + k**3 + 9*k**2. Solve c(f) = 0.
-3, -1, -2/5, 1/3
Let t(p) be the second derivative of p**8/1120 - p**7/630 - p**6/120 + p**5/30 + p**4/6 + 5*p. Let c(z) be the third derivative of t(z). Factor c(g).
2*(g - 1)*(g + 1)*(3*g - 2)
Let n(j) be the second derivative of j**4/18 + 14*j**3/9 + 13*j**2/3 - 9*j - 2. Factor n(q).
2*(q + 1)*(q + 13)/3
Factor -2*a**2 - 2/3*a**4 + 0 + 2/3*a + 2*a**3.
-2*a*(a - 1)**3/3
Let l(w) be the second derivative of w**5/20 + w**4/4 - 3*w**3/2 + 5*w**2/2 - 32*w. Factor l(x).
(x - 1)**2*(x + 5)
Find w such that 2/11*w + 0 - 6/11*w**2 - 2/11*w**4 + 6/11*w**3 = 0.
0, 1
Suppose 0*j = -2*j. Factor 5*z - 6 - 4*z + 2*z**3 - 3*z + 6*z**2 + j*z**2.
2*(z - 1)*(z + 1)*(z + 3)
Let y(g) be the first derivative of g**6/20 + 2*g**5/15 + g**4/12 - 3*g**2/2 - 3. Let m(o) be the second derivative of y(o). Factor m(r).
2*r*(r + 1)*(3*r + 1)
Let l be ((-1)/((12/6)/4))/(-1). Factor 1/3*k + 0 - 5/3*k**l.
-k*(5*k - 1)/3
Let m(j) be the third derivative of j**6/120 - j**5/12 + 5*j**4/24 - 2*j**3/3 - j**2. Let k be m(4). Factor 0 - 1/4*v + 1/4*v**3 + k*v**2.
v*(v - 1)*(v + 1)/4
Let -2*s + 0 - 2/3*s**2 = 0. Calculate s.
-3, 0
Let z(o) = 4*o**2 - 2*o**2 - 2*o - o**2. Let h(p) = 2*p. Let u be h(1). Let w(m) = -m. Let d(c) = u*w(c) - z(c). Factor d(j).
-j**2
Let j be 18/15*(2 + -7). Let d = j - -10. Let 2/3*t**d + 0*t - 2/3*t**3 + 0 + 0*t**2 = 0. What is t?
0, 1
Suppose 2 = 17*d - 15*d. Let p(x) be the first derivative of 0*x**3 - d + 0*x - 1/5*x**5 + 0*x**2 + 1/4*x**4. Factor p(i).
-i**3*(i - 1)
Let w(y) be the second derivative of y**9/52920 - y**8/23520 + y**4/4 - 5*y. Let r(s) be the third derivative of w(s). Find n, given that r(n) = 0.
0, 1
Let k(u) = 45*u - 156. Let q be k(4). Determine d, given that 32 - q*d - 1/2*d**3 + 6*d**2 = 0.
4
Let i = 22 + -24. Let r be (64/48)/(i/(-3)). Let 2/5*o**3 - 1/5*o**5 + 0*o**4 + 0*o**r - 1/5*o + 0 = 0. What is o?
-1, 0, 1
Let g(d) = d**2. Let p(k) = -6*k**2 - 30*k + 27. Let z(w) = -9*g(w) - p(w). Factor z(x).
-3*(x - 9)*(x - 1)
Let b(i) be the third derivative of i**8/672 + i**7/210 - i**5/60 - i**4/48 + 2*i**2. What is z in b(z) = 0?
-1, 0, 1
Let q be 68/36 - 2/(-18). Find r, given that q*r**2 + 6*r**2 - 4*r**2 = 0.
0
Let w(g) be the second derivative of g**5/60 + g**4/36 - 25*g. Find b such that w(b) = 0.
-1, 0
Let p(c) be the first derivative of -3*c**5/20 + 3*c**4/4 - 3*c**3/2 + 3*c**2/2 + 8*c + 7. Let g(z) be the first derivative of p(z). Factor g(l).
-3*(l - 1)**3
Let x = 2/9 - -5/18. Let 1/3 - x*z + 1/6*z**2 = 0. Calculate z.
1, 2
