iven that 0 - 2/9*v**3 - 2/9*v**2 + 2/9*v**4 + 2/9*v**j + 0*v = 0.
-1, 0, 1
Suppose -p + 5*k - 2 = -0*p, -4*p - 3*k = -15. Suppose 4*c - 3*u - 23 = -0*u, 20 = -4*u. Find m such that -4*m**p + 4*m + m**4 + c*m**4 - 5*m**4 + 2 = 0.
-1, 1
Let z(j) be the second derivative of -2/33*j**3 - 1/165*j**6 + 1/11*j**2 + 0*j**4 + j + 0 + 1/55*j**5. Determine v so that z(v) = 0.
-1, 1
Let q(w) be the third derivative of -w**8/40320 + w**6/1440 - w**5/20 - w**2. Let x(z) be the third derivative of q(z). Factor x(k).
-(k - 1)*(k + 1)/2
Let h(z) = z**2 - z - 10. Let s be h(-3). Let 2/9*g**3 - 4/9*g**s + 2/9*g + 0 = 0. What is g?
0, 1
Let h = 2 + 0. Factor 3 - 4 + 2*l**2 + 2*l**3 - 2 + 1 - h*l.
2*(l - 1)*(l + 1)**2
Suppose -6*o + 28 = -14. Suppose s = -o*s. Find b such that 6/7*b**2 + 4/7*b + 0*b**3 - 2/7*b**4 + s = 0.
-1, 0, 2
Let w(n) be the second derivative of -1/3*n**4 + 7*n + 8*n**2 + 0 + 0*n**3. Determine r, given that w(r) = 0.
-2, 2
Let t(l) = -32*l**2 - 24*l - 20. Let i = -4 + -10. Let o(n) = 11*n**2 + 8*n + 7. Let u(d) = i*o(d) - 5*t(d). Factor u(b).
2*(b + 1)*(3*b + 1)
Let d = -10 + 6. Let w(k) be the second derivative of 19*k**4/4 - 4*k**3 - 24*k**2 - k. Let x(o) = -7*o**2 + 3*o + 6. Let a(v) = d*w(v) - 33*x(v). Factor a(g).
3*(g - 2)*(g + 1)
Let z be ((-42)/56)/(2/(-8)). Suppose 0 = s, -4*s + 7*s + 20 = 5*k. Determine h so that -h**4 + 3*h**z - h**3 + 3*h**k = 0.
-1, 0
Let s(k) = -3*k**5 + 3*k**4 - k**3 + k**2 - 3*k + 10. Let h(r) = -r**5 + r**4 - r + 3. Let v(g) = -7*h(g) + 2*s(g). Find x, given that v(x) = 0.
-1, 1
Let o = 2076 + -4005/2. Factor 36*z**2 - 63/2*z**3 - 6*z - o*z**4 + 0.
-3*z*(z + 1)*(7*z - 2)**2/2
Let n(h) = h**2 - 5*h + 3. Let j(o) = -o + 1. Let f(w) = 5*j(w) - n(w). Let g be f(0). Factor 4/9*q - 2/9*q**g - 2/9.
-2*(q - 1)**2/9
Factor 0 + 28/3*z**3 - 8/3*z + 20/3*z**2.
4*z*(z + 1)*(7*z - 2)/3
Let k = 71 - 489/7. Solve 8/7 + 2/7*d**2 + k*d = 0 for d.
-2
Suppose -4*b + 10 = -x - 5, 3*b - x - 12 = 0. Determine m so that -6*m + 0*m**2 + b*m**2 + 7 + 2 - 6*m**2 = 0.
-3, 1
Let t(o) be the second derivative of o**5/130 + o**4/78 - 2*o**3/39 + 16*o. Suppose t(i) = 0. Calculate i.
-2, 0, 1
Let u = 9 + 1. Determine f so that -8*f**4 + 8*f**5 + 4*f**3 - u*f**4 + 8*f**3 + 0*f**5 - 2*f**2 = 0.
0, 1/4, 1
Let n = -8 - -8. Suppose -3*k = -n*k. Factor -1/2*w**2 + k + 0*w - 1/4*w**3.
-w**2*(w + 2)/4
Let k(f) be the second derivative of f**6/180 - f**5/30 + 2*f**3/3 - 5*f. Let x(h) be the second derivative of k(h). Factor x(d).
2*d*(d - 2)
Let c be 1*1/((-2)/(-6)). Factor -5 - h - h**c + 5 + 2*h**2.
-h*(h - 1)**2
Let i = -141 - -141. Factor -1/3*f + 1/3*f**3 + i*f**2 + 0.
f*(f - 1)*(f + 1)/3
Let o = -51 - -24. Let y = o - -29. What is l in 0 + 2/5*l**3 + 0*l + 2/5*l**y = 0?
-1, 0
Let q(n) be the second derivative of 3*n - 1/2*n**2 + 0 - 9/8*n**4 - 13/12*n**3 - 7/60*n**6 - 23/40*n**5. Let q(y) = 0. What is y?
-1, -2/7
Let n = 5107/100 - 203/4. Let l(g) be the first derivative of 1/15*g**6 + 1 + 3/5*g**4 + n*g**5 + 0*g + 8/15*g**3 + 1/5*g**2. Factor l(d).
2*d*(d + 1)**4/5
Let k(o) be the third derivative of -o**8/504 + 2*o**7/315 - o**5/45 + o**4/36 - o**2. Find z, given that k(z) = 0.
-1, 0, 1
Let r = 1 + 1. Determine z, given that z - z - 2*z**4 + 4*z**r - 2*z**2 = 0.
-1, 0, 1
Let q(w) = w**2 + 13*w + 14. Let l(t) = t + 1. Let v(c) = -40*l(c) + 5*q(c). Find a, given that v(a) = 0.
-3, -2
Let i(f) be the third derivative of -1/180*f**6 - 1/30*f**5 + 0*f**3 + 0*f + 0 - 2*f**2 - 1/18*f**4. Find d such that i(d) = 0.
-2, -1, 0
Let i(p) be the first derivative of -1/4*p + 0*p**2 + 4 + 1/12*p**3. Let i(u) = 0. Calculate u.
-1, 1
Factor 20/9 + 2/9*h**2 + 14/9*h.
2*(h + 2)*(h + 5)/9
Let r(c) be the second derivative of 2*c**7/21 + 8*c**6/15 + 4*c**5/5 - 2*c**4/3 - 10*c**3/3 - 4*c**2 - 6*c. Factor r(o).
4*(o - 1)*(o + 1)**3*(o + 2)
Let c(q) = -2*q + q - 1 + 0. Let t be c(-5). Solve t - y + 0*y - y**4 + y**3 + y**2 - 4 = 0 for y.
-1, 0, 1
Suppose y + 20 = 26. Let i(r) be the third derivative of 0*r**3 - 1/140*r**7 + 0 - 3*r**2 - 1/40*r**5 + 0*r**4 - 1/40*r**y + 0*r. Factor i(u).
-3*u**2*(u + 1)**2/2
Let u(g) be the second derivative of -g**7/336 - g**6/240 + g**5/160 + g**4/96 + 2*g - 13. Factor u(h).
-h**2*(h - 1)*(h + 1)**2/8
What is j in 0*j**2 + 0*j**2 - 173*j + 5*j**2 + 845 + 43*j = 0?
13
Let k be -2 + 5 - (-28)/(-10). Factor k*s + 0 + 1/5*s**2.
s*(s + 1)/5
Let x(v) = -1. Let z(b) = -7*b**2 - 5*b - 1. Let i(f) = f**2. Let n be i(-1). Let k(m) = n*z(m) - 3*x(m). Factor k(j).
-(j + 1)*(7*j - 2)
Let y(x) be the first derivative of x**6/6 + 7*x**5/5 + 19*x**4/4 + 25*x**3/3 + 8*x**2 + 4*x + 21. Find i such that y(i) = 0.
-2, -1
Let p(a) be the first derivative of a**6/360 - a**5/30 + a**4/6 - a**3/3 - 2. Let v(s) be the third derivative of p(s). Solve v(i) = 0 for i.
2
Let k = 106 - 104. Let -1 + 5/2*u - 2*u**k + 1/2*u**3 = 0. Calculate u.
1, 2
Let l(d) be the first derivative of -d**4/20 - d**3/3 - 2*d**2/5 + 12. Factor l(b).
-b*(b + 1)*(b + 4)/5
Let t = 1111/5 - 222. Let 2/5*a**3 + 1/5*a**2 + 0 - t*a**4 - 2/5*a = 0. What is a?
-1, 0, 1, 2
Let y(t) = 6*t**5 + 3*t**4 - 6*t**3 - 3*t**2 + 3*t. Let d(i) = -i**5 - i**4 + i**2. Let k(w) = 3*d(w) + y(w). Factor k(o).
3*o*(o - 1)**2*(o + 1)**2
Let t(l) = -l**2. Let n(z) = 6*z**3 - 6*z**2 + 5. Let g(a) = n(a) - 5*t(a). Let v(u) = -5*u**3 + u**2 - 4. Let x(j) = -4*g(j) - 5*v(j). Factor x(w).
w**2*(w - 1)
Let o(c) be the third derivative of c**6/30 + c**5/5 + c**4/2 + 2*c**3/3 + 2*c**2. Suppose o(b) = 0. Calculate b.
-1
Let k(r) = -r**2 - 6*r + 4. Let d be k(-6). Let j be (-6)/16*d/(-6). Solve 1/4*f + 0*f**2 - j*f**3 + 0 = 0 for f.
-1, 0, 1
Let o = -1457/23 - -19774/115. Let t = o + -107. Factor 0 + 2/5*g**5 - t*g**2 + 2/5*g - 8/5*g**4 + 12/5*g**3.
2*g*(g - 1)**4/5
Let n = 85/444 - 4/37. Let w(b) be the second derivative of 0 + 1/6*b**3 + n*b**4 + 0*b**2 - 2*b. Factor w(j).
j*(j + 1)
Let z(y) be the second derivative of -y**4/4 + 3*y**2/2 - 6*y. Factor z(s).
-3*(s - 1)*(s + 1)
Factor 6*g**3 - 3*g**3 + 4*g**2 + 0*g - 2*g + g**2.
g*(g + 2)*(3*g - 1)
Let r(n) be the first derivative of n**3 - 36*n**2 + 432*n + 66. What is q in r(q) = 0?
12
Let j be 171/36 + 2/8. Factor -o**4 - 2*o**3 + o**3 - o**j + 3*o**4.
-o**3*(o - 1)**2
Let x be 2 - -2 - 0 - 4/1. Factor x - 2/3*i**2 - 4/3*i.
-2*i*(i + 2)/3
Let n(p) be the third derivative of -7*p**6/40 - 4*p**5/5 + 17*p**4/8 + 3*p**3 + 16*p**2. Factor n(g).
-3*(g - 1)*(g + 3)*(7*g + 2)
Let x(b) be the second derivative of -2/63*b**7 - b + 0 + 1/12*b**5 + 0*b**2 - 1/12*b**4 - 1/18*b**3 + 1/30*b**6. Solve x(y) = 0.
-1, -1/4, 0, 1
Let f(y) = 7*y**2 - 4*y - 3. Let m(a) = -8*a**2 + 5*a + 3. Let w(s) = 7*f(s) + 6*m(s). Let u(d) = -d + 1. Let k(r) = 3*u(r) + w(r). Suppose k(t) = 0. What is t?
0, 1
Let t(l) be the third derivative of -l**6/80 + 11*l**5/20 - 121*l**4/16 - 2*l**2 + l. Factor t(c).
-3*c*(c - 11)**2/2
Suppose 2*y - 13 = 3*w, -2*y = 2*w - w - 1. Suppose k - 4*n = -y*n + 2, -5*k + 5*n = -5. Determine t, given that 2/7*t**3 + 2/7*t**2 + 0*t + k = 0.
-1, 0
Factor 5 + 7*k**2 - 8*k + 9*k**2 - 13*k - 3*k**3 + 3*k**2.
-(k - 5)*(k - 1)*(3*k - 1)
Suppose -3/8*h - 3/8*h**2 + 0 + 3/8*h**3 + 3/8*h**4 = 0. Calculate h.
-1, 0, 1
Let d(o) = -4*o**4 - 12*o**3 + 4*o**2 + 4*o + 4. Let m(r) = -r**3 - r + 1. Let f(p) = d(p) - 4*m(p). Factor f(g).
-4*g*(g - 1)*(g + 1)*(g + 2)
Let f be (-1)/(-3 - 108/(-44)). Let t = f + -4/3. Factor t*u**2 + 1/2*u**3 - u + 0.
u*(u - 1)*(u + 2)/2
Let m be (0 - (-4)/10)/(3/15). Factor 0*n**m - 6/11*n + 4/11 + 2/11*n**3.
2*(n - 1)**2*(n + 2)/11
Let o be (-25 - -1)/6 - (-66)/16. Let b(w) be the first derivative of -1/6*w**3 + 1/4*w + o*w**2 + 3. Let b(i) = 0. What is i?
-1/2, 1
Let g = 13 - 4. Factor -3*k**4 - 4*k**2 + 6*k**2 - 3*k**2 - g*k**5 + 5*k**3.
-k**2*(k + 1)*(3*k - 1)**2
Factor 35*d + 53 - 4*d**2 - 197 + 13*d.
-4*(d - 6)**2
Let g(d) be the second derivative of d**6/45 + 2*d**5/15 + d**4/9 - 4*d**3/9 - d**2 + 9*d. Factor g(m).
2*(m - 1)*(m + 1)**2*(m + 3)/3
Let f = -19 + 22. Factor 3/2*g**2 + 0 + 0*g + 3/2*g**f.
3*g**2*(g + 1)/2
Suppose -8 = -y - y. Let j be (y - 1)*1 + -3. Find n, given that j*n + 1/4*n**5 + 0 + 0*n**2 + 0*n**3 + 1/4*n**4 = 0.
-1, 0
Let d = -305 + 611/2. Solve 1/2*o + d*o**2 + 0 = 0 for o.
-1, 0
Let r(y) be the first derivative of -y**5/20 