7/42 + k**5/2 - 5*k**3/6 - 13*k. Solve r(o) = 0 for o.
-1, 0, 1
Let n = -14 - 22. Let m be (2/(-7))/(n/84). Determine o, given that -2/3*o**4 + 0*o + m*o**2 + 0 + 0*o**3 = 0.
-1, 0, 1
Let x(r) = r**2 - 7*r + 6. Let o be x(5). Let u = o + 8. Factor 0*c**2 - 2/3*c**5 + 2/3*c**3 + 0 + 0*c**u + 0*c.
-2*c**3*(c - 1)*(c + 1)/3
Let a be (1 + 9/(-15))/2. Determine c, given that -1/5*c**2 - 1/5*c + 0 + a*c**3 + 1/5*c**4 = 0.
-1, 0, 1
Let m(b) be the third derivative of b**7/210 - b**6/75 + b**5/300 + b**4/60 + 6*b**2. Determine l, given that m(l) = 0.
-2/5, 0, 1
Let y(p) be the third derivative of -3*p**5/20 - p**4 - 2*p**3 + 20*p**2. Solve y(g) = 0.
-2, -2/3
Let o = -8 + 11. Suppose 6 - 3 = y, s - 18 = -5*y. Factor -o + 3 + u - s*u**2.
-u*(3*u - 1)
Suppose -4*w + 16 = -0*w. Suppose 9 = -w*g + 7*g. Find m such that 0 + 4/3*m**g - 2/3*m**4 + 0*m + 0*m**2 = 0.
0, 2
Let i(l) be the third derivative of -l**6/120 + l**5/10 - l**4/2 + 4*l**3/3 - l**2. Factor i(o).
-(o - 2)**3
Let h(d) = 8*d**4 - 4*d**3 - 4*d**2 + 4*d + 4. Let l(r) = r**4 - r**3 + r + 1. Let o(x) = -h(x) + 4*l(x). Factor o(n).
-4*n**2*(n - 1)*(n + 1)
Let x = 8 - 5. Factor 3*s + 9*s**x - 3*s**4 - 317 - 9*s**2 + 317.
-3*s*(s - 1)**3
Let p be (5/810)/(2/8). Let x = p - -148/567. Suppose -2/7*y**4 - 4/7*y**3 + 4/7*y**2 - x + 2/7*y**5 + 2/7*y = 0. What is y?
-1, 1
Let n = 97/6 - 31/2. Factor 2/3*w**2 - 2/3*w + 0 - n*w**4 + 2/3*w**3.
-2*w*(w - 1)**2*(w + 1)/3
Suppose 0 = 3*w - 4*v + 3, -3*v + 6*v = w + 6. Solve -10/9*d**5 + 4/9*d + 0 + 14/9*d**4 + 2/3*d**w - 14/9*d**2 = 0.
-1, 0, 2/5, 1
Factor -6*c**3 - 9/2*c + 39/2*c**2 + 0.
-3*c*(c - 3)*(4*c - 1)/2
Let d(r) = 4*r + 0*r - r + 2*r - 13 - 12*r**2 - 17*r**3. Let s(x) = 4*x**3 + 3*x**2 - x + 3. Let q(h) = 6*d(h) + 26*s(h). Solve q(o) = 0 for o.
-2, -1, 0
Suppose -3*u - 112 = -4*x, 7*u - x = 2*u - 198. Let k = 121/3 + u. Factor 1/3*z**2 - k*z**3 - 1/3 + 1/3*z.
-(z - 1)**2*(z + 1)/3
Let h = 2 + -1. Let j(b) be the first derivative of -h - 5/8*b**2 + 1/3*b**3 - 1/16*b**4 + 1/2*b. Factor j(s).
-(s - 2)*(s - 1)**2/4
Let z(x) be the first derivative of -2*x**6/3 - 4*x**5/5 + x**4 + 4*x**3/3 - 3. Factor z(m).
-4*m**2*(m - 1)*(m + 1)**2
Let l be (0 - -3) + -8 + 8. Find h, given that -1/2*h**2 + l*h - 9/2 = 0.
3
Let r(p) be the second derivative of p**6/15 + p**5/5 - 2*p**3/3 - p**2 + 8*p. Factor r(n).
2*(n - 1)*(n + 1)**3
Let r(b) be the first derivative of -b**6/60 + b**4/12 - b**2/4 + 3*b - 3. Let g(v) be the first derivative of r(v). Find z such that g(z) = 0.
-1, 1
Let i = 0 + 6. Let c = -5 + i. Factor -c - 6*l**2 + 2*l**4 + 4*l**3 + 6*l - 2*l - 3*l**4.
-(l - 1)**4
Let l be ((-3)/4)/((-1)/4). Suppose -2 = -4*u + 18. Factor -u*c + c**2 - 3*c**l + 7*c**2 - 2*c + 2.
-(c - 1)**2*(3*c - 2)
Find f such that 0 - 12/7*f + 3/7*f**2 = 0.
0, 4
Let l(c) be the second derivative of -c**4/4 - c**3 - 3*c**2/2 - 13*c. Find s, given that l(s) = 0.
-1
Let u(l) be the third derivative of l**5/240 - l**4/48 - l**3/3 + 21*l**2. Factor u(v).
(v - 4)*(v + 2)/4
Factor c**2 - 1/2*c**4 - 9/2 + 2*c**3 - 6*c.
-(c - 3)**2*(c + 1)**2/2
Let o(i) be the first derivative of -7*i**4/24 + 5*i**3/18 + i**2/6 + 27. Determine d, given that o(d) = 0.
-2/7, 0, 1
Let d(g) be the third derivative of 0*g**3 - 1/180*g**5 + 0*g - 1/120*g**6 + 1/630*g**7 + 0 + 1/1008*g**8 + 7*g**2 + 1/36*g**4. What is i in d(i) = 0?
-2, -1, 0, 1
Determine s, given that 2/9*s**2 + 16/9*s + 8/3 = 0.
-6, -2
Factor 2/3*d - 2/3*d**3 + 2/3 - 2/3*d**2.
-2*(d - 1)*(d + 1)**2/3
What is w in w**2 - 1055*w - 4*w**2 + 1058*w = 0?
0, 1
Let c(f) be the second derivative of -4*f**5/5 + 32*f**4/3 - 58*f**3/3 + 14*f**2 - 3*f - 11. Factor c(k).
-4*(k - 7)*(2*k - 1)**2
Let l(n) = -100*n**5 + 25*n**4 + 21*n**3 - 4*n**2. Let a(j) = j**3. Let i(o) = 10*a(o) - 2*l(o). Determine q, given that i(q) = 0.
-2/5, 0, 1/4, 2/5
Factor -3*d + d**2 - d + 4 + 0*d.
(d - 2)**2
Suppose 0 = 3*f - 5*p - 11, -2*p = -f + 1 + 3. Find k such that 6/5*k + 4/5 + 2/5*k**f = 0.
-2, -1
Let k be (-1)/(-9) + 1/(-9). Suppose -1/5*m - 4/5*m**2 - 6/5*m**3 - 1/5*m**5 + k - 4/5*m**4 = 0. Calculate m.
-1, 0
Let y(d) be the second derivative of d**4/60 - 4*d**3/15 + 8*d**2/5 + 6*d. Factor y(b).
(b - 4)**2/5
Suppose -2*a = 4 - 8. Factor -6/7*u + 2/7*u**a + 4/7.
2*(u - 2)*(u - 1)/7
Factor 6*f - 12*f**4 + 39*f**3 + 8*f - 8*f - 33*f**2.
-3*f*(f - 2)*(f - 1)*(4*f - 1)
Let a(g) be the third derivative of g**8/320 - g**7/168 - g**6/15 - g**5/10 - g**4/12 - g**2. Let h(u) be the second derivative of a(u). Factor h(s).
3*(s - 2)*(s + 1)*(7*s + 2)
Let j(z) = 29*z**3 + 113*z**2 + 192*z - 17. Let w(d) = -5*d**3 - 19*d**2 - 32*d + 3. Let h(p) = -6*j(p) - 34*w(p). Factor h(t).
-4*t*(t + 4)**2
Let y(j) be the first derivative of -2*j**7/147 + j**6/21 - 3*j**5/70 - j**4/42 + j**3/21 + j - 3. Let l(h) be the first derivative of y(h). Factor l(q).
-2*q*(q - 1)**3*(2*q + 1)/7
Let z(b) be the third derivative of -b**5/150 - 2*b**4/15 - 4*b**3/5 - 14*b**2. Factor z(v).
-2*(v + 2)*(v + 6)/5
Let p(v) be the first derivative of -8*v**6/9 - 56*v**5/15 - 73*v**4/12 - 43*v**3/9 - 11*v**2/6 - v/3 - 11. Factor p(d).
-(d + 1)**3*(4*d + 1)**2/3
Let c(o) be the second derivative of -7*o + 0*o**3 + 0*o**5 + 0*o**2 + 0*o**4 + 0 - 1/15*o**6. Factor c(j).
-2*j**4
Let g(o) be the first derivative of -o**3/3 + 3*o**2/2 - 2*o - 11. Let g(z) = 0. Calculate z.
1, 2
Let c be 3/6*(1 + 3). Suppose 4*b - 3*b = c. Factor -5*q**2 + 1 + 0*q**2 + b*q**2 + 2.
-3*(q - 1)*(q + 1)
Suppose 0 = -4*d + 6*d - 6. Solve 7*y**3 + 6*y**2 - 11*y**3 + 7*y**d = 0.
-2, 0
Let u(f) = f + 9. Let d be u(-7). Let b(i) be the first derivative of 0*i**d + 0*i - 2 + 1/6*i**4 + 2/9*i**3. Determine p so that b(p) = 0.
-1, 0
Factor 0*n**4 - 4*n**4 - 2*n**5 + 2*n**3 + 8*n**4 - 4*n**3.
-2*n**3*(n - 1)**2
Let d be (-9)/(-105) + 6/30. Suppose d*k**2 + 4/7 - 6/7*k = 0. What is k?
1, 2
Let h(c) = 20*c**2 + 23*c + 17. Let j(b) = -7*b**2 - 8*b - 6. Let v(s) = -6*h(s) - 17*j(s). Solve v(m) = 0.
-2, 0
Let c = 5 - -2. Suppose -14 = -4*j - 2*w, 5*w + c = j + 3*j. Factor -2*s**2 + 2 + s + 0 + 5*s**3 - j*s**3 - 3*s.
2*(s - 1)**2*(s + 1)
Let r(t) be the third derivative of 0*t - 1/240*t**6 + 0 - 3*t**2 + 0*t**4 + 0*t**3 + 1/120*t**5. Suppose r(j) = 0. What is j?
0, 1
Let d(u) = 6*u + 39*u**3 + 7*u**5 - 18*u**4 - 3*u - 6*u**4. Let z(y) = 8*y**5 - 24*y**4 + 40*y**3 + 4*y. Let i(v) = 4*d(v) - 3*z(v). What is k in i(k) = 0?
0, 3
Let m(i) = -i + 1. Let q(u) be the second derivative of u**4/12 + u**3 - u**2/2 - u. Let f(n) = -6*m(n) - 2*q(n). Factor f(w).
-2*(w + 1)*(w + 2)
Let l(q) be the first derivative of -12*q**5/5 + 7*q**4/2 - q**2 + 1. Solve l(x) = 0 for x.
-1/3, 0, 1/2, 1
Let f = -8 + 10. Let l be 6/3 - (f - 1). Factor -1 - l + 2 + 2*s**2.
2*s**2
Determine h so that -2*h**5 + 2*h**2 + 6*h**4 - 6*h**3 + h**3 - h**3 = 0.
0, 1
Suppose 3*o + 0*k = k + 6, -6 = -5*o + 3*k. Let b(l) be the first derivative of -1 + 20/9*l**o + 5/3*l**4 + 2/3*l + 5/3*l**2 + 2/3*l**5 + 1/9*l**6. Factor b(n).
2*(n + 1)**5/3
Factor 106*p**3 - 31*p**3 - 454*p**4 + 489*p**4 + 45*p**2 + 5*p**5.
5*p**2*(p + 1)*(p + 3)**2
Let p(x) = -12*x**2 + 1. Let g(o) = 13*o**2 - 1. Let z(b) = 3*g(b) + 4*p(b). Find m such that z(m) = 0.
-1/3, 1/3
Solve 3*u**3 + 0 + 0*u - 45/4*u**5 + 87/4*u**4 - 3*u**2 = 0 for u.
-2/5, 0, 1/3, 2
Let y(q) be the first derivative of -35*q**3/3 - 395*q**2/2 - 110*q + 33. Factor y(p).
-5*(p + 11)*(7*p + 2)
Let j(d) be the third derivative of 3/20*d**5 + 3*d**2 + 0*d + 0 + 1/210*d**7 + 1/3*d**3 - 7/24*d**4 - 1/24*d**6. Factor j(c).
(c - 2)*(c - 1)**3
Let p = -7431/8 + 929. Factor -3/4*d**3 + 13/8*d**2 + 1/2 - 3/2*d + p*d**4.
(d - 2)**2*(d - 1)**2/8
Factor -17 - 6 + 40*c + 5*c**3 - 25*c**2 + 3.
5*(c - 2)**2*(c - 1)
Let o(z) be the second derivative of -7*z**6/540 + z**5/135 + 7*z**4/108 - 2*z**3/27 + 5*z**2/2 + z. Let j(g) be the first derivative of o(g). Factor j(v).
-2*(v - 1)*(v + 1)*(7*v - 2)/9
Let c be 6/(-10) - 492/(-720). Let d(u) be the first derivative of c*u**4 + 8/3*u - 2 + 2*u**2 + 2/3*u**3. Factor d(k).
(k + 2)**3/3
Let y = -1504 + 1504. Factor -1/4*q**2 - 1/4*q**4 + y*q + 0 - 1/2*q**3.
-q**2*(q + 1)**2/4
Let u be ((-18)/3)/(-2) - 1. Suppose 0 = -k - 3*i + 12, -1 - 8 = -u*k - i. Factor 8*w**3 - w + 2*w**4 + w**5 - 8*w**k - 2*w**2.
w*(w - 1)*(w + 1)**3
Let m = 16 