 4)**2
Determine c so that 4/9*c - 2/9*c**3 + 0 - 2/9*c**2 = 0.
-2, 0, 1
Let x(v) be the second derivative of v**7/105 - 4*v**6/75 + 2*v**5/25 + v**4/15 - v**3/3 + 2*v**2/5 - v. Solve x(j) = 0.
-1, 1, 2
Let c = -1714/17 + 101. Let l = 11/34 + c. Let 1/4*g + 0*g**3 + 0 - 1/4*g**5 + 1/2*g**4 - l*g**2 = 0. What is g?
-1, 0, 1
Suppose -v + 5 - 2 = 0. Let i be 3 + (-1 - (3 - 3)). Suppose 0*b**v + 0 + 1/2*b**4 - 1/2*b**i - 1/4*b + 1/4*b**5 = 0. What is b?
-1, 0, 1
Let g(h) = h**3 - h. Suppose -3*o = -o - 8. Let d(s) = -5*s - o - 4*s**3 - 6*s + 11*s**3. Let i(w) = -d(w) + 5*g(w). Factor i(n).
-2*(n - 2)*(n + 1)**2
Let k(x) be the first derivative of -x**9/3024 - x**8/560 - x**7/280 - x**6/360 + x**3/3 - 1. Let g(u) be the third derivative of k(u). Factor g(m).
-m**2*(m + 1)**3
Factor -3/7*n**4 + 1/7*n**5 + 1/7 + 2/7*n**3 + 2/7*n**2 - 3/7*n.
(n - 1)**4*(n + 1)/7
Let d(t) be the third derivative of t**5/30 + t**4/12 - 2*t**3/3 - t**2. Suppose d(c) = 0. Calculate c.
-2, 1
Let a(i) = i**2 - i - 3. Let w be a(-2). Let s(o) be the first derivative of 0*o + w + 0*o**2 - 2/3*o**3 + 1/2*o**4. Factor s(t).
2*t**2*(t - 1)
Let -5*h**2 - 5*h + 0*h - 15 - 15*h = 0. What is h?
-3, -1
Let x(j) be the second derivative of -2*j**5/15 + 2*j**4/3 - j**3 + 2*j**2/3 - 4*j. Suppose x(h) = 0. What is h?
1/2, 2
Let a be ((-9)/(-6))/((-1)/(-6)). Determine b so that -8*b**3 + a - 5 + 0*b**5 + 3*b**5 - b**5 + 6*b - 4*b**2 = 0.
-1, 1, 2
Let b be (-2)/(-1) + 2 - 1. Suppose -2/9*y - 2/9 - 8/3*y**4 + 2/9*y**b + 26/9*y**2 = 0. Calculate y.
-1, -1/4, 1/3, 1
Suppose -4*k - 285 - 83 = 0. Let f = k - -646/7. Factor 0*d + 8*d**4 + f*d**3 - 4/7*d**2 + 0.
2*d**2*(4*d - 1)*(7*d + 2)/7
What is h in 0 + 3/4*h**2 - 3/4*h = 0?
0, 1
Let i(n) = n**4 - n**3 + n**2 - n + 1. Let j(s) = 9*s**4 - 8*s**3 + 13*s**2 - 11*s + 11. Let u(v) = -44*i(v) + 4*j(v). Solve u(a) = 0 for a.
-1/2, 0, 2
Suppose -h - 4 = h + 3*k, 4*h - 4 = -3*k. Let d(j) be the second derivative of 3*j + 0*j**3 + 0 + 1/10*j**5 + 1/6*j**h + 0*j**2. Factor d(g).
2*g**2*(g + 1)
Let c = 4 - 2. Suppose 2*b + 8 = 2*m, -b + c = 4. Factor -2/5*z**m + 0 + 2/5*z.
-2*z*(z - 1)/5
Solve -2*z + 8*z - 32 + 6*z + 20 - 3*z**2 = 0 for z.
2
Factor 2/9*d**2 + 8/9*d + 8/9.
2*(d + 2)**2/9
Let -3*l - 1/2 + 2*l**5 + 9/2*l**4 + l**3 - 4*l**2 = 0. Calculate l.
-1, -1/4, 1
Factor -4*b**2 + b**3 - b**3 - 3*b - 2*b**2 - 3*b**3.
-3*b*(b + 1)**2
Suppose 2*w - 3*g + 2 = 27, -2*w - 3*g - 5 = 0. Let m(u) = 2*u**2 - 3. Let h(y) = -y**2 + 2. Let c(f) = w*h(f) + 2*m(f). Factor c(n).
-(n - 2)*(n + 2)
Suppose 0 = 8*n - 7*n + 1. Let b(k) = -4*k**4 + 20*k**3 - 8*k**2 - 8*k - 5. Let g(j) = j**4 + j**3 - j**2 - j - 1. Let q(h) = n*b(h) + 5*g(h). Solve q(s) = 0.
-1/3, 0, 1
Let x(w) be the second derivative of -9*w**5/4 - 20*w**4/3 - 25*w**3/6 + 5*w**2 + w. Determine u so that x(u) = 0.
-1, 2/9
Let x(n) be the second derivative of -2*n**6/15 + 4*n**5/5 - 5*n**4/3 + 4*n**3/3 - 2*n + 14. Find m, given that x(m) = 0.
0, 1, 2
Suppose -5 - 1 = f. Let a = f + 6. Suppose -1/4*h**3 - 1/2*h**2 - 1/4*h + a = 0. Calculate h.
-1, 0
Factor 0 - 2/5*d**3 - 12/5*d - 2*d**2.
-2*d*(d + 2)*(d + 3)/5
Let z(q) be the third derivative of -q**6/840 - q**5/420 + q**4/168 + q**3/42 - 40*q**2. Factor z(c).
-(c - 1)*(c + 1)**2/7
Let j(i) be the second derivative of -i**6/360 + 2*i**2 + 4*i. Let m(k) be the first derivative of j(k). Factor m(h).
-h**3/3
Let q(x) be the third derivative of -3/70*x**7 + 1/112*x**8 + 0*x**3 - x**2 + 3/40*x**6 + 0*x**4 + 0 - 1/20*x**5 + 0*x. Let q(k) = 0. What is k?
0, 1
Let r = 614/7 + -5498/63. Let g = 6 - 4. Solve 2/9*w**g - r*w + 0 = 0 for w.
0, 2
Let v(w) be the second derivative of -w**6/135 + 4*w**5/45 - 11*w**4/27 + 8*w**3/9 - w**2 + 11*w. Factor v(f).
-2*(f - 3)**2*(f - 1)**2/9
Let r(a) be the third derivative of -a**7/420 + a**6/180 + a**5/30 - a**3/3 + 4*a**2. Let d(v) be the first derivative of r(v). Factor d(w).
-2*w*(w - 2)*(w + 1)
Let y(i) be the second derivative of i**4/72 - i**3/18 - 3*i + 1. Solve y(z) = 0 for z.
0, 2
Suppose 0 = 8*b - 1 + 1. Factor 0*d**2 - 4/3*d**3 + 0 + b*d**4 + 2/3*d**5 + 2/3*d.
2*d*(d - 1)**2*(d + 1)**2/3
Suppose -78*h + 76*h + 10 = 0. Determine k, given that 0 - 1/7*k**h - 1/7*k**2 + 1/7*k**3 + 1/7*k**4 + 0*k = 0.
-1, 0, 1
Let m(s) be the first derivative of -s**5/15 + s**4/3 - 5*s**2/2 - 3. Let y(x) be the second derivative of m(x). Let y(k) = 0. What is k?
0, 2
Let p(f) be the third derivative of 0 - f**3 - 1/40*f**6 + 0*f**5 + 0*f + 3/8*f**4 - 3*f**2. Factor p(a).
-3*(a - 1)**2*(a + 2)
Let x(k) = k**3 + 6*k**2 + 3*k - 7. Let p be x(-5). Let g(l) be the first derivative of -2/3*l**p + 2/5*l**5 + 0*l - 2 + 0*l**4 + 0*l**2. Factor g(u).
2*u**2*(u - 1)*(u + 1)
Suppose -k = 3*k - 16. Let m(h) = -h + 6. Let s be m(k). Factor t**2 - 4 - 4*t**2 + t**s + 6.
-2*(t - 1)*(t + 1)
Suppose -3*y - 2*s - 12 = -5*s, -3*s + 12 = -2*y. Factor 1/3*j**3 + 0*j**2 + 1/3*j**4 + 0*j + y.
j**3*(j + 1)/3
Let f(q) be the first derivative of q**7/84 - q**6/90 - q**5/12 + q**4/6 + q**3 - 1. Let c(d) be the third derivative of f(d). Solve c(o) = 0.
-1, 2/5, 1
Suppose l = -0*l - 196. Let s = l + 595/3. Factor -s*x**3 - 4/3 + 16/3*x - 5/3*x**2.
-(x - 1)*(x + 2)*(7*x - 2)/3
Let p be 19/4 + 12/(-16). Let m(x) be the first derivative of 2/21*x**3 - 2/7*x + 1/14*x**p - 1/7*x**2 - 1. What is a in m(a) = 0?
-1, 1
Let y(c) = -c**3 + 5*c**2 + 5*c - 21. Let x be y(5). Factor 1/4*r**5 + 1/2*r**2 + 1/2*r**3 + 1/4 - 3/4*r - 3/4*r**x.
(r - 1)**4*(r + 1)/4
Let c(p) be the third derivative of p**8/1512 - p**7/945 - p**6/270 + p**5/135 + p**4/108 - p**3/27 - 7*p**2. Factor c(k).
2*(k - 1)**3*(k + 1)**2/9
Let t(o) be the third derivative of -3*o**2 + 7/144*o**8 - 1/9*o**5 - 1/120*o**6 + 0 + 0*o + 1/9*o**7 + 1/18*o**4 + 0*o**3. Determine f so that t(f) = 0.
-1, 0, 2/7
Let z(i) = -24*i**4 + 54*i**3 - 34*i**2 - i + 2. Let v(b) = -97*b**4 + 217*b**3 - 135*b**2 - 4*b + 8. Let h(w) = -6*v(w) + 22*z(w). What is x in h(x) = 0?
-2/9, 1/3, 1
Let h(s) be the first derivative of -s**7/105 - 2*s**6/75 + s**4/15 + s**3/15 + s + 1. Let q(b) be the first derivative of h(b). Find g such that q(g) = 0.
-1, 0, 1
Let k(v) = v**3 - v - 1. Let t(d) = -2*d**3 + 2*d**2 + 3*d + 3. Let x(y) = 6*k(y) + 2*t(y). Find z, given that x(z) = 0.
-2, 0
Factor -6*m**2 - 2*m**3 + 8*m**3 + 3*m + 2*m**3 - 5*m.
2*m*(m - 1)*(4*m + 1)
Let v(s) be the second derivative of s**7/630 - s**6/180 + s**5/180 + s**2/2 + 4*s. Let d(o) be the first derivative of v(o). Suppose d(y) = 0. Calculate y.
0, 1
Let f(p) = p - 2. Let u be f(6). Suppose -u*m - 5*n + 18 = -4*n, -6 = -3*n. Suppose 4*b**m + 0*b + 0 + 5/3*b**5 + 3*b**3 + 2/3*b**2 = 0. What is b?
-1, -2/5, 0
Let v(s) be the second derivative of s**7/12600 + s**6/3600 - s**5/300 + s**4/12 - 8*s. Let t(f) be the third derivative of v(f). Suppose t(i) = 0. What is i?
-2, 1
Suppose 0*p + 5*k + 22 = p, 5*p + 4*k + 6 = 0. Let 6*j**2 - 4*j**p - j**2 + 4*j - 3*j = 0. Calculate j.
-1, 0
Find x such that -4/9*x**2 - 2/9*x**3 + 0 + 2/3*x = 0.
-3, 0, 1
Let i be (3 - -1) + -2 + -2. Suppose -5*v + 6 + 9 = i. Factor -1/3*p - 1/3*p**v + 2/3*p**2 + 0.
-p*(p - 1)**2/3
Factor 2*g - 5*g - 3*g + g**3 - 2 + 3*g.
(g - 2)*(g + 1)**2
Let x be 5/(30/(-11)) + 2. Let c(i) be the third derivative of -1/60*i**5 + 0 - i**2 - 2/3*i**3 + 0*i + x*i**4. Solve c(h) = 0 for h.
2
Let c = 35/66 + 3/22. Let x(k) be the first derivative of 1/2*k**4 - k**2 - 1 + c*k**3 - 2*k. Suppose x(j) = 0. Calculate j.
-1, 1
Let o(z) be the third derivative of z**6/40 + z**5/10 - z**4/8 - z**3 - 10*z**2. What is n in o(n) = 0?
-2, -1, 1
Let o = 10 + -99/10. Let r(h) be the third derivative of 0*h**3 - h**2 + o*h**5 + 1/40*h**6 + 1/8*h**4 + 0 + 0*h. Suppose r(i) = 0. What is i?
-1, 0
Solve -1/2 - 19/2*d**3 - 8*d**2 - 13/4*d - 5/4*d**5 - 11/2*d**4 = 0.
-1, -2/5
Let r(z) be the second derivative of -2*z + 0 - 3/2*z**2 + 1/2*z**3. Let w(t) = t**2 + 3*t - 4. Let f(m) = -3*r(m) + 2*w(m). Factor f(i).
(i - 1)*(2*i - 1)
Suppose -x = -3*x + 4. Let -5*c**2 + 4*c**x + 2*c + 4*c - 5*c = 0. Calculate c.
0, 1
Let c(w) be the second derivative of -w**7/420 - w**6/180 + w**5/60 + w**4/12 + w**3/2 + 4*w. Let p(u) be the second derivative of c(u). What is a in p(a) = 0?
-1, 1
Let n(k) be the first derivative of -6 + 6*k - 3/2*k**2 + 3/4*k**4 - 2*k*