(j) = j - 4. Let x be v(5). Let o be (5/6)/(x/9). Solve 0 - 2*i - o*i**3 + 7/4*i**4 + 9*i**2 = 0 for i.
0, 2/7, 2
Let d(p) be the second derivative of 1/20*p**5 - 1/30*p**6 - 4*p + 0 + 0*p**2 - 1/6*p**3 + 1/12*p**4. Factor d(a).
-a*(a - 1)**2*(a + 1)
Suppose 2*f - 35 = -f + 5*b, 3*b = -2*f - 2. Suppose -6*d**f + 2*d**5 + 2*d**4 + 5*d**5 = 0. What is d?
-2, 0
Let v be (-36)/(-8) + 2/4. Factor -13*b**4 - 5*b**2 + 0*b - 2*b**2 - 7*b**3 - 4*b**v - b - 8*b**3.
-b*(b + 1)**3*(4*b + 1)
Let w(c) be the first derivative of 6*c**6/13 + 6*c**5/5 + 29*c**4/26 + 6*c**3/13 + c**2/13 - 12. Solve w(x) = 0 for x.
-1, -1/2, -1/3, 0
Let v(g) be the first derivative of -3/5*g**5 - 1/6*g**6 + g - 1/2*g**4 - 3 + 2/3*g**3 + 3/2*g**2. Let v(r) = 0. What is r?
-1, 1
Factor 35*l**3 + 13*l**2 + 5*l**5 + 5*l**2 + 25*l**4 + 4*l**2 - 7*l**2.
5*l**2*(l + 1)**2*(l + 3)
Let o be (54/(-28))/(5 + 205/(-35)). Factor -o*w + 3/4 - 3*w**2.
-3*(w + 1)*(4*w - 1)/4
Let s = -11 - -13. Let y = -2 + s. Solve 0*t + 1/3*t**3 + 1/3*t**2 + t**5 + y - 5/3*t**4 = 0.
-1/3, 0, 1
Let d = -78608/7 - -11151. Let s = d + 79. Solve -s*u + 2/7 + 2/7*u**3 - 2/7*u**2 = 0.
-1, 1
Find q, given that 0 - 8/3*q**3 - 2/3*q**4 + 2/3*q**2 + 8/3*q**5 + 0*q = 0.
-1, 0, 1/4, 1
Let a be 1000/220 + -1*4. What is y in 2/11*y**2 - a*y**3 - 4/11 + 6/11*y + 2/11*y**4 = 0?
-1, 1, 2
Factor z**4 + 5963*z**2 - 2*z - 1 + 2*z**3 - 5963*z**2.
(z - 1)*(z + 1)**3
Let j(w) = -w**2 - w + 1. Let p(a) = -2*a**3 - 10*a**2 - 8*a + 12. Let d(x) = 12*j(x) - p(x). Let d(m) = 0. Calculate m.
-1, 0, 2
Let n(v) = v + 2. Let i be n(0). Find t such that 9*t - t - i*t - 3*t**4 + 3*t**2 - 6*t**3 = 0.
-2, -1, 0, 1
Let r = 9 - 9. Suppose -c = 3*t + 12, r*c = 5*c + t + 4. Factor 0*n**2 + 1/5*n**5 + 0*n - 2/5*n**4 + 1/5*n**3 + c.
n**3*(n - 1)**2/5
Let m(h) be the second derivative of 5*h**7/189 - h**6/45 - 7*h**5/90 + h**4/18 + 2*h**3/27 - 39*h. What is p in m(p) = 0?
-1, -2/5, 0, 1
Let n be (3/(-1))/((-240)/32). Suppose -n*m**3 + 0*m**2 + 6/5*m + 4/5 = 0. What is m?
-1, 2
Let a = -3514/5 + 704. Factor 2/5*k**3 + 0*k**2 - a*k + 4/5.
2*(k - 1)**2*(k + 2)/5
Let j(t) = 5*t**2 + 126*t - 43. Let k(q) = 6*q**2 + 124*q - 44. Let a(n) = 4*j(n) - 5*k(n). Factor a(x).
-2*(x + 12)*(5*x - 2)
Suppose 9 = 11*f - 13. Factor 1 + 3/2*y + 1/2*y**f.
(y + 1)*(y + 2)/2
Let j(a) be the first derivative of -4*a**5/5 + 6*a**4 - 12*a**3 + 5. Suppose j(v) = 0. What is v?
0, 3
Suppose -z + 6 = 4. Suppose g - 12 = -z*g. Factor -5*b**2 + b**2 + 3*b**2 - 2*b**g + 3*b**4.
b**2*(b - 1)*(b + 1)
Let g(c) be the second derivative of 0*c**4 + 0*c**2 - 1/195*c**6 + 1/65*c**5 + 0*c**3 - 6*c + 0 - 1/273*c**7. Factor g(t).
-2*t**3*(t - 1)*(t + 2)/13
Let t(m) = -m**3 + m. Let l = -6 + 5. Let x(i) = i**3 + 2*i**2 - i - 2. Let w(c) = l*t(c) + x(c). Factor w(a).
2*(a - 1)*(a + 1)**2
Let b = 6 - 2. Let v = -3/4 + 5/4. Suppose 5*z**b - 20*z**3 - 40*z - v*z**5 + 16 + 40*z**2 = 0. Calculate z.
2
Let d(r) be the first derivative of -r**4/30 + r**3/15 + r + 5. Let q(f) be the first derivative of d(f). Determine j so that q(j) = 0.
0, 1
Let w(i) be the first derivative of 3*i**3/2 + 3*i**2 + 3*i/2 + 21. Factor w(d).
3*(d + 1)*(3*d + 1)/2
Let o(l) be the third derivative of -8/75*l**5 + 11/60*l**4 + 7/300*l**6 + 0 - 2/15*l**3 + 4*l**2 + 0*l. Factor o(s).
2*(s - 1)**2*(7*s - 2)/5
Let d = -32 + 38. Let v(c) be the third derivative of -1/42*c**4 + 0 - 1/735*c**7 + 1/210*c**d + 0*c**5 + 0*c - 3*c**2 + 1/21*c**3. Find t, given that v(t) = 0.
-1, 1
Let m(p) be the third derivative of p**5/150 - p**4/30 + 3*p**2. Factor m(h).
2*h*(h - 2)/5
Let m = -4/19 + 65/38. Let l(o) be the second derivative of -13/24*o**4 + 5/24*o**6 + 0 - 2*o + m*o**3 - 9/16*o**5 - o**2. Let l(p) = 0. What is p?
-1, 2/5, 2
Let u = -448 - 231. Let s = u + 4761/7. Find a such that s*a**2 + 10/7*a + 2/7 = 0.
-1, -1/4
Let n(o) be the second derivative of o**5/5 - 4*o**4/3 + 10*o**3/3 - 4*o**2 + 4*o. Suppose n(g) = 0. What is g?
1, 2
Let s(l) be the second derivative of l**6/50 + 3*l**5/20 + 3*l**4/10 - 2*l**3/5 - 12*l**2/5 + 2*l. Solve s(b) = 0 for b.
-2, 1
Let d(w) be the third derivative of 1/36*w**4 + 7/180*w**5 + 0 + 1/45*w**6 - 6*w**2 + 0*w**3 + 0*w + 1/210*w**7. Let d(h) = 0. Calculate h.
-1, -2/3, 0
Let q(b) = 5*b + 4*b**2 - 4*b - 5*b**2. Let c(m) = 9*m**2 - 9*m + 1. Let t be (5*-1)/1*1. Let j(a) = t*q(a) - c(a). Find f such that j(f) = 0.
1/2
Let l be ((-4)/(-3))/((-13)/((-117)/10)). Suppose -2/5 - 2/5*y**3 - l*y**2 - 6/5*y = 0. What is y?
-1
Let h(q) = q**3 + 6*q**2 + 12*q + 16. Let w be h(-4). Factor -2/9*f - 14/9*f**3 + 10/9*f**2 + 2/3*f**4 + w.
2*f*(f - 1)**2*(3*f - 1)/9
Suppose 4*n + 1 - 9 = 0. Let p(x) = x**2 + 4*x + 3. Let j(o) = 0*o - o - 1 + 0*o. Let d(a) = n*p(a) + 4*j(a). Factor d(z).
2*(z + 1)**2
Let l(i) be the second derivative of 0 + 0*i**3 + 1/4*i**4 - 1/20*i**6 + i - 3/4*i**2 + 0*i**5. Determine f, given that l(f) = 0.
-1, 1
Let z be 20/50 - (-14)/(-20). Let w = z + 19/30. Factor 4/3*p - 4/3 - w*p**2.
-(p - 2)**2/3
Let b(l) be the second derivative of l**7/210 + l**6/20 + 3*l**5/20 - l**2/2 - l. Let n(k) be the first derivative of b(k). Determine g, given that n(g) = 0.
-3, 0
Let p(o) = 14*o**2 + 2*o - 10. Let a(h) = h**2 + h - 1. Let i(b) = -10*a(b) + p(b). Factor i(w).
4*w*(w - 2)
Let d(r) be the third derivative of r**7/5880 - r**6/1260 - r**5/840 + r**4/84 - r**3/2 - 7*r**2. Let c(s) be the first derivative of d(s). Factor c(n).
(n - 2)*(n - 1)*(n + 1)/7
Let r(v) be the second derivative of 0*v**2 + 0 + 3/20*v**5 - 1/18*v**6 + 1/9*v**3 + 8*v + 1/126*v**7 - 7/36*v**4. Factor r(k).
k*(k - 2)*(k - 1)**3/3
Suppose 4*p = 4*v - 4, -4*p + 2*v + 1 = -p. What is l in -2 - 2*l**2 - 2*l - p + 3 - 2*l = 0?
-1
Suppose 2*z = -5*q + 31, 0*z = 4*z + 5*q - 37. Determine c so that -2*c**z + 6*c**4 - 12*c**4 + 6*c**2 + 5*c - 3*c = 0.
-1, -1/3, 0, 1
Suppose 2*d + 0 = 4. Let f = d + 0. Suppose 3*v**f - 4*v**2 - 2*v**2 + 5*v**2 - 4*v = 0. What is v?
0, 2
Let a = 1216/1833 + 2/611. Factor 2/3*y**3 + 0*y**2 + 1/3 - a*y - 1/3*y**4.
-(y - 1)**3*(y + 1)/3
Let g(w) = -6*w**3 + 6*w**2 + 19*w - 7. Let v(q) = 3*q**3 - 3*q**2 - 9*q + 3. Let k(f) = -3*g(f) - 7*v(f). Factor k(y).
-3*y*(y - 2)*(y + 1)
Let v(y) be the third derivative of 2/315*y**7 - 1/360*y**6 + 0*y**3 + 0*y + 2*y**2 + 1/72*y**4 + 0 - 1/45*y**5. Suppose v(l) = 0. What is l?
-1, 0, 1/4, 1
Let h be -4 + 6 + 0/1. Suppose 3*t + 10 = -h*l + 26, 5*t - 4*l = -10. What is j in 2*j**3 - 4*j + j - 4*j**t + 5*j = 0?
0, 1
Let t = -6 + 4. Let p(v) = -v**4 + v**3 + v**2 + v + 1. Let o(w) = -5*w**5 - 20*w**4 - 20*w**3 - 6*w**2 + 5*w + 4. Let j(q) = t*p(q) + o(q). Factor j(s).
-(s + 1)**4*(5*s - 2)
Let t(d) be the second derivative of -d**10/151200 + d**8/33600 - d**4/4 + d. Let u(x) be the third derivative of t(x). Determine o so that u(o) = 0.
-1, 0, 1
Let p = -10386/14311 - 2/1301. Let i = 27/22 + p. Factor -3/2*c - i*c**3 + 3/2*c**2 + 1/2.
-(c - 1)**3/2
Let x be 8/(-14) + (-2400)/(-3024). Find t, given that 4/9 - 8/9*t**2 - x*t**5 + 4/9*t**3 - 2/9*t + 4/9*t**4 = 0.
-1, 1, 2
Let r(x) be the first derivative of 1/10*x**5 + x**3 - 4*x - 4 - 5/8*x**4 + x**2. Let r(t) = 0. What is t?
-1, 2
Let v be 9/((-3)/(-9)*3). Let b = -9 + v. Suppose b + 1/4*k**2 - 1/4*k - 1/4*k**4 + 1/4*k**3 = 0. Calculate k.
-1, 0, 1
Factor 2/3*f + 0 + f**3 + 1/3*f**4 - 1/3*f**5 - 5/3*f**2.
-f*(f - 1)**3*(f + 2)/3
Factor 0*d**5 - 15*d**5 - 80*d**3 + 51*d**4 + 33*d**2 - 6*d + 17*d**3.
-3*d*(d - 1)**3*(5*d - 2)
Let g(w) = -w**3 + 26*w**2 - 87*w - 20. Let v be g(22). Factor 0*i + 0 - 3/4*i**v.
-3*i**2/4
Suppose 3*a + 8 = 2*a. Let s be ((-8)/(-5))/(a/(-20)). Factor -3*o**4 + 7*o**4 - 3*o**s - o**3.
o**3*(o - 1)
Let r(c) be the second derivative of -c**10/120960 + c**8/26880 - c**4/6 + c. Let s(g) be the third derivative of r(g). Suppose s(k) = 0. What is k?
-1, 0, 1
Let x(r) = -r**3 - 9*r**2 + r + 11. Let t be x(-9). Suppose -8*d**3 + t*d**3 + 0*d**4 + 9*d**3 + d + 3*d**2 + d**4 = 0. Calculate d.
-1, 0
Factor -i - i + 4*i**2 + 10*i + 0*i**2.
4*i*(i + 2)
Suppose 5*t + 20 = 10*t. Let g(s) be the third derivative of 1/12*s**t + 0*s - 2*s**2 - 1/60*s**5 - 1/40*s**6 + 0*s**3 + 0. Factor g(u).
-u*(u + 1)*(3*u - 2)
Let m be 2/2 - 118/120. Let c(h) be the third derivative of -m*h**5 - 2*h**2 + 0*h - 1/300*h**6 + 1/210*h**7 + 1