e of -3*x**5/50 - x**4/30 + 8*x**3/15 - 4*x**2/5 + 2*x - 10. Factor d(n).
-2*(n - 1)*(n + 2)*(3*n - 2)/5
Determine i, given that 16*i + 2 + 8*i**3 + 16*i**2 - 4*i**3 - 2 = 0.
-2, 0
Let g(z) = -5*z + 4*z + 3*z - 1. Let x be g(2). Determine i so that 2*i**3 + 0*i**5 - 4*i**4 - 4*i**x - 2*i**5 = 0.
-1, 0
Let n(t) be the first derivative of t**4/2 - 2*t**3/3 - t**2 + 2*t - 9. Factor n(v).
2*(v - 1)**2*(v + 1)
Factor -1/6*x**2 + 1/2*x + 2/3.
-(x - 4)*(x + 1)/6
Let j(y) be the second derivative of 8*y - 1/60*y**5 + 0 - 1/6*y**2 - 1/6*y**3 - 1/12*y**4. Let j(r) = 0. What is r?
-1
Let m(p) = -4*p**3 - 2*p + 2. Let v be ((-8)/28)/(1/(-7)). Let x(l) = -l**3 + l**2 - l + 1. Let t(c) = v*x(c) - m(c). Factor t(n).
2*n**2*(n + 1)
Determine c, given that 8/7 - 2/7*c - 8/7*c**2 + 2/7*c**3 = 0.
-1, 1, 4
Let n(m) be the first derivative of -m**6/300 + m**5/50 + 3*m**2/2 - 2. Let h(y) be the second derivative of n(y). Factor h(u).
-2*u**2*(u - 3)/5
Let f(d) = -7*d**4 - d**3 + 3*d**2 - 2*d - 5. Let o(b) = b**5 + 8*b**4 - 2*b**2 + 3*b + 6. Let i(w) = 4*f(w) + 3*o(w). Factor i(m).
(m - 1)**3*(m + 1)*(3*m + 2)
Factor 0 - 2/5*v**5 + 0*v - 8/5*v**2 + 0*v**3 + 6/5*v**4.
-2*v**2*(v - 2)**2*(v + 1)/5
Let b(c) be the first derivative of c**7/2100 + c**6/300 + c**5/100 + c**4/60 + 2*c**3 + 6. Let x(l) be the third derivative of b(l). Factor x(a).
2*(a + 1)**3/5
Let y(h) be the second derivative of -2*h**6/15 + 2*h**5/5 - 4*h**3/3 + 2*h**2 + 5*h. What is p in y(p) = 0?
-1, 1
Let g(y) be the first derivative of y**4/72 + y**3/18 + 5*y + 4. Let v(w) be the first derivative of g(w). Solve v(x) = 0 for x.
-2, 0
Let s = 50/9 - 47/9. Suppose 2*b - 3 - 1 = 0. Factor -1/3*q - 1/3*q**b + s*q**3 + 1/3.
(q - 1)**2*(q + 1)/3
Let j(q) be the third derivative of -q**8/504 - 2*q**7/315 + q**6/180 + q**5/45 + 20*q**2. Let j(y) = 0. What is y?
-2, -1, 0, 1
Let h(j) = j**4. Let r(q) be the first derivative of q**5/5 + q**4/2 - q**3/3 - 1. Let o = 6 + -4. Let z(k) = o*h(k) - r(k). Factor z(g).
g**2*(g - 1)**2
Let 8/13 - 2/13*x**3 + 14/13*x + 4/13*x**2 = 0. Calculate x.
-1, 4
Let v(r) = -154*r**2 + 20*r + 12. Let b(s) = 462*s**2 - 59*s - 35. Let z(w) = 4*b(w) + 11*v(w). What is f in z(f) = 0?
-2/11, 2/7
Suppose -3*b + 8 = 2. Let z(i) be the second derivative of 0 - 1/10*i**5 + 0*i**4 - i + i**3 + 2*i**b. Factor z(s).
-2*(s - 2)*(s + 1)**2
Factor 3*p**2 - 6*p**3 + 10*p**3 + p**2.
4*p**2*(p + 1)
Let n be ((-24)/(-15))/(4/10). Suppose -n*o = -16, -2*c + 8*o - 4*o - 12 = 0. Find u, given that 7/4*u**c + 1/2*u + 2*u**3 + 3/4*u**4 + 0 = 0.
-1, -2/3, 0
Let v = -27 - -27. Let p(s) be the second derivative of v*s**4 + 1/3*s**3 + 0 + 0*s**2 - s - 1/10*s**5. Determine x, given that p(x) = 0.
-1, 0, 1
Factor -2/13*n**3 + 0 + 2/13*n + 2/13*n**4 - 2/13*n**2.
2*n*(n - 1)**2*(n + 1)/13
Let 60*b + 4*b**3 - 2*b**3 - 58*b - 4*b**2 = 0. What is b?
0, 1
Let n(v) be the first derivative of 3*v**4/4 - 2*v**3 + 3*v**2/2 - 4. Factor n(r).
3*r*(r - 1)**2
Let o(h) be the third derivative of -h**8/294 + h**7/735 + h**6/105 - h**5/210 + 20*h**2. Find n such that o(n) = 0.
-1, 0, 1/4, 1
Let n(i) be the first derivative of -i**2 + 5/6*i**3 - 2 + 7/12*i**4 + 2*i. Let g(s) be the first derivative of n(s). Factor g(a).
(a + 1)*(7*a - 2)
Let f(u) be the first derivative of -2/3*u**3 - 1/2*u**2 + 0*u - 3 - 1/4*u**4. Determine v, given that f(v) = 0.
-1, 0
Let o be -15*(-7)/(70/12). Factor -4*d**5 + 9*d**2 + 2 + d**2 - o*d**3 + 14*d**4 - 2*d - 2.
-2*d*(d - 1)**3*(2*d - 1)
Let x(s) be the third derivative of s**6/360 + s**5/180 - 5*s**4/72 + s**3/6 - 6*s**2. What is w in x(w) = 0?
-3, 1
Let o(y) be the third derivative of y**6/1200 + y**5/150 - y**4/240 - y**3/15 - 36*y**2. Find g such that o(g) = 0.
-4, -1, 1
Let t = 306 + -306. Factor t + l**3 - 1/2*l**5 + 0*l**2 + 0*l - 1/2*l**4.
-l**3*(l - 1)*(l + 2)/2
Let q = 389 - 1165/3. Factor -2/3*v**4 + q*v**3 + 0 + 4/3*v**2 + 0*v.
-2*v**2*(v - 2)*(v + 1)/3
Let j = -51/7 - -181/21. Find m such that -1/3*m**2 - j*m - 4/3 = 0.
-2
Let n(j) = j**4 - j**2 + j + 1. Let i(h) = 3*h**4 - 4*h**3 + h**2 + 21*h + 13. Let l(o) = i(o) - 5*n(o). Factor l(t).
-2*(t - 2)*(t + 1)**2*(t + 2)
Let k be 2/2 + 7/(-21). Let x(r) be the first derivative of 1 - k*r**3 + 0*r**2 + 1/2*r**4 + 0*r. Factor x(b).
2*b**2*(b - 1)
Let a(l) = 4*l**3 - 9*l**2 + l - 7. Let v(b) = -3*b**3 + 6*b**2 - b + 5. Let u(q) = -5*a(q) - 7*v(q). Find f, given that u(f) = 0.
-2, -1, 0
Let -271*g - 4*g**2 + 269*g - 2*g**2 = 0. What is g?
-1/3, 0
Let s(n) be the second derivative of 0 - 3*n + 1/24*n**4 + 1/60*n**6 + 0*n**2 + 1/20*n**5 + 0*n**3. Find o such that s(o) = 0.
-1, 0
Let s be (-4)/4*(-130)/(-5). Let a = s + 26. Solve a + 1/3*o**5 - 4/3*o**4 + 2*o**3 - 4/3*o**2 + 1/3*o = 0 for o.
0, 1
Let k(r) be the second derivative of r**4/12 + r**3/6 + r**2 + 2*r. Let o be k(-3). Factor -o*g**3 + 2*g - 4 + 4*g + 4*g**2 + 2*g**3.
-2*(g - 1)*(g + 1)*(3*g - 2)
Let d(r) be the first derivative of -7/5*r**2 + 3/10*r**4 - 4/5*r + 3 - 4/15*r**3. Let d(y) = 0. What is y?
-1, -1/3, 2
Let g(n) be the second derivative of -n**5/110 + n**4/33 + n**3/33 - 2*n**2/11 + 28*n. Find h, given that g(h) = 0.
-1, 1, 2
Let c = -3 - -6. Factor 3*f**4 - 4*f**2 + 6*f**2 + f**c + 3*f**3 - f**4.
2*f**2*(f + 1)**2
Let g be ((-110)/(-231))/((-1)/(-7)). Factor 0 - 2*k**2 + g*k**3 - 4/3*k.
2*k*(k - 1)*(5*k + 2)/3
Let f(a) be the third derivative of a**7/105 + a**6/60 - 2*a**5/15 - a**4/3 - 12*a**2. Factor f(g).
2*g*(g - 2)*(g + 1)*(g + 2)
Let v(g) be the third derivative of -g**5/60 + 7*g**4/12 - 49*g**3/6 + 14*g**2. Factor v(k).
-(k - 7)**2
Let t be -31 - -36 - 5*1. Let g(j) be the second derivative of -7/130*j**5 - 4*j + 1/39*j**3 + 0*j**2 + 0 + t*j**4 - 2/65*j**6. What is x in g(x) = 0?
-1, -1/2, 0, 1/3
Suppose 0 = 18*t - t - 51. Let f(g) be the third derivative of 7/9*g**4 - 4/9*g**t + 0 + 0*g - 2*g**2 - 49/90*g**5. Suppose f(p) = 0. What is p?
2/7
Let r = 58 + -58. Determine c so that r + 2/5*c - 2/5*c**2 = 0.
0, 1
Let r = -42/5 + 257/30. Solve 0*u + r*u**2 - 1/6 = 0.
-1, 1
Let i(t) = 4*t**2 + 2*t. Suppose -a = -2*a. Let u(b) = a*b**2 + 2*b**2 - b**2. Let d(p) = i(p) - 3*u(p). Find f, given that d(f) = 0.
-2, 0
Factor 0*h**3 + 1/2*h**4 + 0*h + 0*h**2 + 0.
h**4/2
Let q(d) = -d - 1. Let y(l) = 3*l - 1. Let v be y(-3). Let a be v/(-6) + 2/6. Let o(m) = -m**3 + 2*m**2 + 2*m - 1. Let h(j) = a*q(j) + 2*o(j). Factor h(u).
-2*(u - 2)*(u - 1)*(u + 1)
Let d = 13 - 11. Let k(z) be the third derivative of 0 - d*z**2 + 0*z - 1/150*z**5 - 1/15*z**3 + 1/30*z**4. Factor k(y).
-2*(y - 1)**2/5
Let s be 1*4 + (-478)/120. Let f(g) be the third derivative of 0*g**3 + 0*g**4 + 0 + 2*g**2 - 1/120*g**6 + 0*g + s*g**5. Let f(m) = 0. Calculate m.
0, 1
Let v(j) = -8*j**2 + 53*j - 67. Let z(t) = -52*t**2 + 344*t - 436. Let l(y) = -32*v(y) + 5*z(y). Suppose l(i) = 0. What is i?
3
Let m(g) be the first derivative of -g**4/4 - g**3/3 + g**2 + 6. Factor m(d).
-d*(d - 1)*(d + 2)
Let m(j) be the third derivative of j**8/504 + j**7/105 + j**6/60 + j**5/90 + j**2. Suppose m(l) = 0. Calculate l.
-1, 0
Let s(n) be the second derivative of -n**5/10 + 3*n**4/2 - 5*n**3 + 7*n**2 - 21*n. Find d, given that s(d) = 0.
1, 7
Suppose 18 = 3*o - 4*i + i, -2*i - 16 = -4*o. Suppose o*l = -l. Factor -2/3*z**2 + 0 + 5/3*z**4 + l*z - z**3.
z**2*(z - 1)*(5*z + 2)/3
Let c be (-3)/7 - (-99)/231. Suppose c + 7/3*h**2 - 1/3*h**5 - 3*h**3 - 2/3*h + 5/3*h**4 = 0. What is h?
0, 1, 2
Let w(g) be the third derivative of g**8/1680 + g**7/1050 - g**6/300 - g**5/150 + g**4/120 + g**3/30 - 4*g**2. Find j, given that w(j) = 0.
-1, 1
Let k(y) be the second derivative of 15*y**4/4 + 145*y**3/6 + 15*y**2 - 45*y. Solve k(w) = 0.
-3, -2/9
Let q(a) be the first derivative of 0*a**3 - 1/66*a**4 - 1/2*a**2 + 2 - 1/330*a**5 + 0*a. Let b(r) be the second derivative of q(r). Factor b(m).
-2*m*(m + 2)/11
Let b(h) be the second derivative of 9*h + 0 - 1/22*h**5 + 0*h**3 + 0*h**2 - 1/231*h**7 + 1/33*h**4 + 4/165*h**6. Factor b(l).
-2*l**2*(l - 2)*(l - 1)**2/11
Let -1/4*p - 1/4*p**2 + 1/2 = 0. What is p?
-2, 1
Factor -2/9*w**3 - 14/3*w + 16/9*w**2 + 4.
-2*(w - 3)**2*(w - 2)/9
Let f(l) = l**2 + 6*l - 4. Let c = -30 + 23. Let p be f(c). Factor 0*g - 2/5*g**2 + 0 - 2/5*g**p.
-2*g**2*(g + 1)/5
Let a(c) be the first derivative of c**6/160 + c**5/80 -