 Factor r + 6/7*p**3 - 8/7*p**2 + 2/7*p.
2*p*(p - 1)*(3*p - 1)/7
Let r be (-11 - -16)/(50/4). Suppose -8/5 - r*z**3 + 8/5*z + 2/5*z**2 = 0. Calculate z.
-2, 1, 2
Let q(j) = -6*j**4 - 10*j**3 + 8*j**2 + 8. Let d(p) = p**4 + p**3 - p**2 - 1. Let k = 12 + -4. Let g(a) = k*d(a) + q(a). Let g(z) = 0. What is z?
0, 1
Let n(b) be the third derivative of b**8/1848 + 2*b**7/1155 - b**6/330 - 4*b**5/165 - 7*b**4/132 - 2*b**3/33 - 11*b**2. Determine m so that n(m) = 0.
-1, 2
Let q(i) be the first derivative of i**6/8 + 3*i**5/20 - 27*i**4/16 + 11*i**3/4 - 3*i**2/2 + 20. Suppose q(u) = 0. Calculate u.
-4, 0, 1
Suppose -4*f = 5*q - 0*q - 25, -5*q = -25. Solve 0*m + f - 2/5*m**2 = 0.
0
Factor 26*i**3 - 22*i**2 - 2 - 4*i**2 - 8*i**4 - 4*i**2 + 14*i.
-2*(i - 1)**3*(4*i - 1)
Find r such that -9/8*r**2 + 0*r**3 + 3/4*r + 0 + 3/8*r**4 = 0.
-2, 0, 1
Suppose 7*u + 8 = 11*u. Suppose -m - u = -5. What is i in 1/3*i + 0 + 2/3*i**2 + 1/3*i**m = 0?
-1, 0
Let t = 2163/8 - 206141/760. Let x = 14/19 - t. Determine i, given that -98/5*i**4 - 42/5*i**3 + 0 - x*i + 48/5*i**2 = 0.
-1, 0, 2/7
Suppose 0 = 4*w + d - 6*d - 2, 0 = 4*w + 3*d - 18. Suppose 2*u**5 + 4*u**2 - 2*u - w - 4*u**4 + 3 = 0. What is u?
-1, 0, 1
Let c(q) be the second derivative of 4*q**7/273 - 3*q**6/65 - q**5/65 + 3*q**4/26 - 2*q**3/39 - 31*q. Solve c(y) = 0.
-1, 0, 1/4, 1, 2
Suppose 4*t - 11*t = -21. Factor -2/3*n + 0 - 1/3*n**4 - 4/3*n**t - 5/3*n**2.
-n*(n + 1)**2*(n + 2)/3
Let r be ((3 - 1) + -2)/(-1). Suppose -3*l + 8*l - 35 = -2*x, r = -l - 4*x + 25. Determine h, given that -2/5*h**3 + 0*h + 2/5*h**l + 0*h**4 + 0 + 0*h**2 = 0.
-1, 0, 1
Factor 8*k**4 - k**3 + 2*k**5 - 2*k**3 + 18 + 5*k**3 - 20*k**2 - 2 - 8*k.
2*(k - 1)**2*(k + 2)**3
Let d(l) = -l**2. Let c(f) = -6*f**2 - 8*f - 16. Suppose 4*r = b - 56, 0 = -2*b + b - 4. Let t(g) = r*d(g) + 3*c(g). Factor t(m).
-3*(m + 4)**2
Suppose -u + 12 = 4*a, 3*a - 8 = -4*u + 14. Let b be u/(-14) - 288/(-420). Factor 0*f**2 + 2/5*f**3 + 1/5 - 1/5*f**4 - b*f.
-(f - 1)**3*(f + 1)/5
Let h(c) be the third derivative of c**9/90720 - c**7/7560 - c**5/60 - 5*c**2. Let q(t) be the third derivative of h(t). Factor q(m).
2*m*(m - 1)*(m + 1)/3
Let f(u) = -2*u**3 - 7*u**2 + 19*u - 6. Let w(y) = -15*y**3 - 48*y**2 + 132*y - 42. Let x(q) = 27*f(q) - 4*w(q). Find l, given that x(l) = 0.
-2, 1/2, 1
Let g(a) be the first derivative of -3 + 1/30*a**5 - 1/3*a**3 + 0*a**4 - 1/180*a**6 + 0*a**2 + 0*a. Let n(d) be the third derivative of g(d). Factor n(j).
-2*j*(j - 2)
Let o(l) be the first derivative of -1/6*l**6 + 6 + 0*l**2 - 4/5*l**5 + 0*l - 2/3*l**3 - 5/4*l**4. Determine g, given that o(g) = 0.
-2, -1, 0
Let w = 24 + -19. Let n(z) be the third derivative of 0*z + 0 + 1/60*z**w - 2*z**2 - 1/24*z**4 + 0*z**3. Factor n(v).
v*(v - 1)
Let n(k) = -8*k**4 - 12*k**3 + 48*k**2 - 28*k - 12. Let d(t) = -3*t**4 - 5*t**3 + 19*t**2 - 11*t - 5. Let q(h) = 12*d(h) - 5*n(h). Let q(y) = 0. Calculate y.
-2, 0, 1
Let l(w) be the third derivative of -w**7/70 + w**6/5 - 11*w**5/10 + 3*w**4 - 9*w**3/2 - 10*w**2. Find o, given that l(o) = 0.
1, 3
Let a be (-16)/9 + 3 + -1. Let u = 5/18 + a. Factor -1/2*v**2 - u*v + 0.
-v*(v + 1)/2
Let n be 0 + -2 - -14 - 1. Suppose -5*x = -9 - n. Factor 6*i**2 - i + i**x - 6*i**3 - i + i**4.
2*i*(i - 1)**3
Suppose -5*m = -4*q + 5, -m - 3*q = -6*m. Let 3*h**2 - 12*h**4 + m*h**2 - 12*h**5 - h + 9*h**3 - 2*h = 0. What is h?
-1, 0, 1/2
Suppose -8*r**3 + 4*r**2 + 3*r - 5*r - 14*r**2 + 0*r**3 = 0. What is r?
-1, -1/4, 0
Factor 4*i**2 - 6*i**2 + 8*i**2 - 2*i**4 - 3*i**3 - i**4.
-3*i**2*(i - 1)*(i + 2)
Suppose 7*f**4 + 12*f**3 + 6*f**3 + 0*f**2 + 3*f**5 + 5*f**4 + 3*f + 12*f**2 = 0. What is f?
-1, 0
Let p(k) be the second derivative of -k**4/114 - 2*k**3/57 - k**2/19 - 10*k. Find i, given that p(i) = 0.
-1
Let k(q) be the second derivative of 3*q**5/80 - q**4/16 - q**3/8 + 3*q**2/8 - 12*q. Let k(v) = 0. Calculate v.
-1, 1
Factor -y**4 + 2*y**5 - 5*y + 3*y + 5*y**4 - 4*y**2.
2*y*(y - 1)*(y + 1)**3
Let i(n) = 3*n**2 + 0*n**3 + 2*n + n - 5*n**3. Suppose 3*s - 3 = 4*s. Let p(c) = -14*c**3 + 8*c**2 + 8*c. Let k(t) = s*p(t) + 8*i(t). What is z in k(z) = 0?
0
Let n be (-2)/(-1) - (5 + -3). Let w = 3 - n. Determine b, given that -2*b**2 + 2*b**w - 2*b + 3*b - b = 0.
0, 1
Let r(w) be the second derivative of w**7/1680 - w**6/320 + w**4/48 + w**2/2 + w. Let h(t) be the first derivative of r(t). Factor h(y).
y*(y - 2)**2*(y + 1)/8
Let c be (4 - (1 - 1)) + 10/(-3). Let c*a**3 - 2/3*a**2 - 2/3*a + 2/3 = 0. Calculate a.
-1, 1
Suppose 20/19*z + 6/19*z**2 + 16/19 = 0. What is z?
-2, -4/3
Solve 4*r + 2*r**3 - 3*r**3 + 15*r**2 + 5*r**3 - 7*r**2 = 0.
-1, 0
Let z(p) be the second derivative of -1/50*p**6 + 0 + 0*p**2 - 4*p - 3/100*p**5 - 1/60*p**4 + 0*p**3 - 1/210*p**7. Factor z(n).
-n**2*(n + 1)**3/5
Let w(q) = 4*q**2 - 60*q + 299. Let v(a) = -a**2 + 1. Let s(l) = -v(l) - w(l). Let s(j) = 0. Calculate j.
10
Let n(s) = -s**3 - 17*s**2 + 17*s - 18. Let l be n(-18). Factor -1/4*a**5 + 1/4*a**3 + 0 + 0*a + l*a**4 + 0*a**2.
-a**3*(a - 1)*(a + 1)/4
Let u(m) = 18*m**5 - 5*m**4 - 5*m**2 - 5. Let x(n) = -28*n**5 + 8*n**4 + 8*n**2 + 8. Let p(g) = -8*u(g) - 5*x(g). Suppose p(b) = 0. What is b?
0
Let l(c) be the third derivative of -c**10/30240 + c**9/7560 - c**8/6720 - c**4/8 + 5*c**2. Let d(m) be the second derivative of l(m). Factor d(s).
-s**3*(s - 1)**2
Let j(r) be the first derivative of -r**8/504 + r**6/90 - r**4/36 + 7*r**2/2 + 7. Let l(p) be the second derivative of j(p). Factor l(c).
-2*c*(c - 1)**2*(c + 1)**2/3
Let h(n) be the second derivative of n**7/12 + 2*n**6/3 + 51*n**5/40 + 5*n**4/12 - 2*n**3/3 + 11*n. Determine i, given that h(i) = 0.
-4, -1, 0, 2/7
Let r(j) = 2*j**5 + 2*j**4 + j**3 - 9*j**2 - 3*j + 7. Let y(x) = 2*x**5 + 2*x**4 - 8*x**2 - 2*x + 6. Let z(v) = 4*r(v) - 5*y(v). Find s such that z(s) = 0.
-1, 1
Let v be (15 - 12) + -3*1. Solve v*l - 2*l**4 + 0 - 14/5*l**3 - 4/5*l**2 = 0 for l.
-1, -2/5, 0
Let k(a) = a**3 - a**2 + 2*a - 2. Let c(s) = 2*s**3 - s**2 + 2*s - 3. Let t(n) = 4*c(n) - 6*k(n). Solve t(d) = 0 for d.
-2, 0, 1
Let l(q) be the second derivative of q**5/190 - q**4/38 + 2*q**3/57 - q. Let l(z) = 0. Calculate z.
0, 1, 2
Find x, given that -8*x**4 + 0 + 6*x**3 - 2*x**3 + 0 + 4*x**5 = 0.
0, 1
Let n(s) be the second derivative of -s**5/5 + 10*s**4/3 - 50*s**3/3 + 12*s. Factor n(v).
-4*v*(v - 5)**2
Suppose -262 - 90*h - 46 + 57 - 5*h**2 - 154 = 0. Calculate h.
-9
Let p(q) be the second derivative of -5*q**7/294 + 4*q**6/105 - q**5/140 - q**4/42 + 7*q. Find v such that p(v) = 0.
-2/5, 0, 1
Suppose 0 = -10*d + 31 + 9. Let n(a) be the second derivative of -a + 1/3*a**3 + 0 + 1/3*a**d + 0*a**2. Factor n(g).
2*g*(2*g + 1)
Let n(h) be the second derivative of h**6/40 + 21*h**5/80 + 9*h**4/8 + 5*h**3/2 + 3*h**2 + 70*h. Factor n(q).
3*(q + 1)*(q + 2)**3/4
Let v(t) be the second derivative of 3*t + 0 + 1/20*t**5 + 1/6*t**4 + 1/6*t**3 + 0*t**2. Factor v(u).
u*(u + 1)**2
Let b be 9/(-2)*3/(36/(-8)). Let f(g) be the third derivative of 0 + 0*g**3 + 0*g - 1/210*g**5 - 1/84*g**4 - b*g**2. Factor f(i).
-2*i*(i + 1)/7
Let b(h) = -h + 8. Let m be b(-7). Let u be (-6)/m + (-49)/(-10). What is j in 0*j**4 - 18*j**3 + 27/2*j**5 - 1 + j**2 + u*j = 0?
-1, -2/3, 1/3, 1
Let p(t) be the second derivative of -1/12*t**4 + 0*t**2 + 0 + 0*t**3 + 4*t - 1/10*t**5 - 1/30*t**6. Factor p(y).
-y**2*(y + 1)**2
Suppose 0*u - 5*u = 0. Let s(v) be the third derivative of u - v**2 + 0*v**5 + 0*v**3 + 1/140*v**6 + 1/735*v**7 - 1/21*v**4 + 0*v. Factor s(d).
2*d*(d - 1)*(d + 2)**2/7
Let n(f) be the third derivative of -1/78*f**4 - 1/39*f**3 + 0 + 0*f - 2*f**2 - 1/390*f**5. Let n(o) = 0. Calculate o.
-1
Let t be 1 + -4 - (-7 + 1). Let b = 7 - t. What is w in 4/5*w**b + 22/5*w**2 - 18/5*w**3 + 0*w - 8/5 = 0?
-1/2, 1, 2
Let g(k) be the first derivative of 1 + 4/3*k**3 + 36*k + 12*k**2. Factor g(h).
4*(h + 3)**2
Let m(d) = -d**3 - 7*d**2 + 8*d + 2. Let u(z) = 9*z**3 + 57*z**2 - 65*z - 17. Let p(y) = -51*m(y) - 6*u(y). Factor p(a).
-3*a*(a - 3)*(a - 2)
Let p be (1 + 0)/((-1)/6). Let q(a) = -a**2 - 6*a - 5. Let n(i) = -i**2 - 5*i - 4. Let v(d) = p*n(d) + 5*q(d). Suppose v(c) = 0. Calculate c.
-1, 1
Let h(p) = -p**3 - 9*p**2 + 9*p - 7. Let o be h(-10). Suppose 3*z = -o*u - 3 - 6, 4*u - 13 = z. Determine w, given that -2/3 + 2