x) = 5*x**4 + 2*x**3 + 4*x**2 + 4*x. Let d(j) = -j**4 - j**2 - j. Let n = 0 + 1. Let s(c) = l*d(c) + n*q(c). Factor s(v).
v**3*(v + 2)
Let n be (22/(-28))/((-6)/(-24)). Let r = -52/21 - n. Find k, given that -r*k**5 + 0*k**2 + 0*k**3 + 0 - 2/3*k**4 + 0*k = 0.
-1, 0
Let q be ((-8)/48)/(1 + -2). Let d(k) be the first derivative of k - 1/2*k**2 + 1/2*k**4 - 2/3*k**3 - q*k**6 + 1 + 1/5*k**5. Factor d(c).
-(c - 1)**3*(c + 1)**2
Let a = -3 + 1. Let y be 8*(-1)/a + -1. Factor -3*q**2 - 2 + q - y*q + 4*q**3 - 2*q**4 + 7*q**2 - 2*q**5.
-2*(q - 1)**2*(q + 1)**3
Let s(i) be the first derivative of -i**6/105 - i**5/35 + 2*i**3/21 + i**2/7 + 2*i + 1. Let b(c) be the first derivative of s(c). Let b(u) = 0. What is u?
-1, 1
Let j(u) = -5*u**2 - 2*u + 3. Let a(c) = -14*c**2 - 6*c + 8. Let s be (-3 - (2 + -7))*-2. Let y(t) = s*a(t) + 11*j(t). Factor y(o).
(o + 1)**2
Let y(u) be the second derivative of u**5/70 - u**4/21 + u**3/21 - 8*u. Factor y(w).
2*w*(w - 1)**2/7
Let o(p) = -12*p**2 - 12*p. Let b = -22 - -24. Let h(j) = 4*j**2 + 4*j. Let n(y) = b*o(y) + 7*h(y). Factor n(l).
4*l*(l + 1)
Let f = 623/3 - 207. Factor 2/3*a**3 + 1/3*a**4 - f*a + 0 - 1/3*a**2.
a*(a - 1)*(a + 1)*(a + 2)/3
Let c(v) = -8*v**2 + 16*v - 25. Suppose 0*w = -4*w - 24. Let l(m) = -m**2 + 2*m - 3. Let a(b) = w*c(b) + 51*l(b). Let a(f) = 0. Calculate f.
1
Let d(a) be the third derivative of a**6/330 - a**5/330 + a**2. Factor d(m).
2*m**2*(2*m - 1)/11
Let z(p) be the third derivative of 0 + 0*p - 5/48*p**4 - 7/120*p**5 - 2*p**2 - 1/12*p**3 - 1/80*p**6. Factor z(g).
-(g + 1)**2*(3*g + 1)/2
Let g(q) = -27*q + 9*q**3 + 3*q**5 - 12*q**4 + 5 + 12*q**2 - 9 - 11. Let f(d) = d + 1. Let z(i) = 15*f(i) + g(i). Let z(r) = 0. What is r?
-1, 0, 1, 2
Let n(x) be the third derivative of -x**5/10 - x**4/12 + 2*x**3/3 + 8*x**2. Solve n(q) = 0 for q.
-1, 2/3
Suppose 3*y = -35 - 13. Let o be 2 + -4 + y/(-6). Factor o + 0*u - 2/3*u**2.
-2*(u - 1)*(u + 1)/3
Let i(o) be the third derivative of -27*o**7/70 + 21*o**6/20 - 13*o**5/60 - 7*o**4/6 - 2*o**3/3 - 27*o**2. Factor i(c).
-(c - 1)**2*(9*c + 2)**2
Let -25 + 2*q**2 + q**3 + q**3 - 8*q + 18*q**2 + 2*q**5 + 9 - 8*q**4 = 0. What is q?
-1, 2
Suppose -y = y + 3*l - 10, 4*l - 5 = -y. Suppose -3*q - 4*m = -150, -16 = -q - y*m + 23. Factor 0*i + 2 + q*i**3 + 76*i**2 - 22*i**2 + 18*i.
2*(3*i + 1)**3
Let i be 1 + 2 + (3 - (-3 - -4)). Let 1/2*l**2 + 1/4*l**i + 1/2*l**3 - 3/4*l - 3/4*l**4 + 1/4 = 0. Calculate l.
-1, 1
Suppose 0 = t - 2*y - 2, 2*t - 4*y = t. Factor x**2 - 4*x + 4*x**5 - 12*x**2 + 8*x**t + 3*x**2.
4*x*(x - 1)*(x + 1)**3
Let b(m) be the first derivative of 1/3*m**3 - 1/5*m**5 + 0*m - m**2 + 6 + 1/2*m**4. Let b(u) = 0. What is u?
-1, 0, 1, 2
Factor 0*z + 0*z**2 + 2/7*z**3 + 0.
2*z**3/7
Let i(h) be the third derivative of -h**6/30 + h**4/6 + 11*h**2. Suppose i(f) = 0. What is f?
-1, 0, 1
Let t(g) be the third derivative of g**5/480 - g**4/192 + 20*g**2. Solve t(m) = 0 for m.
0, 1
Let p(l) be the third derivative of l**5/240 - l**4/24 + l**3/8 + 26*l**2. Factor p(t).
(t - 3)*(t - 1)/4
Let c be ((-2)/(-7) - (-2)/(-7))/(-2). Factor 1/3*d**2 + 0*d**3 + c*d - 1/3*d**4 + 0.
-d**2*(d - 1)*(d + 1)/3
Let y = -44 - -50. Let o(h) be the second derivative of -1/18*h**4 - 1/30*h**5 + 0 + 1/9*h**3 + 0*h**2 + 1/45*h**y - 3*h. What is x in o(x) = 0?
-1, 0, 1
Let u be ((-54)/(-15))/(1/5). Let 11*y**4 - 2*y - y + 9*y**2 - u*y**3 + y**4 - 3*y**5 + 3*y**2 = 0. Calculate y.
0, 1
Let k be (-38)/6 + (-6)/(-18). Let c be -1*k/15 - 0. Find p such that -2/5*p + 4/5 - c*p**2 = 0.
-2, 1
Let d(x) be the first derivative of x**7/3360 + x**6/1440 + 4*x**3/3 + 6. Let s(u) be the third derivative of d(u). What is h in s(h) = 0?
-1, 0
Let c(n) = -n**3 + 5*n**2 + 10*n + 30. Let a be c(7). Factor -12/5*t**a + 6/5 + 21/5*t.
-3*(t - 2)*(4*t + 1)/5
Let r(p) be the first derivative of -2*p**5/45 - 2*p**4/9 - 8*p**3/27 - 25. Solve r(k) = 0 for k.
-2, 0
Let n(i) be the first derivative of -i**6/60 + i**5/5 - 11*i**4/12 + 2*i**3 - 9*i**2/4 - 6*i - 10. Let u(b) be the first derivative of n(b). Factor u(m).
-(m - 3)**2*(m - 1)**2/2
Let y(b) be the first derivative of -3*b**4/4 - b**3 + 3*b**2 + 7. Suppose y(n) = 0. Calculate n.
-2, 0, 1
Let f(g) = g**3 + 23*g**2 - 76*g + 55. Let o be f(-26). Factor -4/7*m**4 - 1/7*m**5 - 5/7*m**o + 0 - 2/7*m**2 + 0*m.
-m**2*(m + 1)**2*(m + 2)/7
Solve 135 - 18*l + 3/5*l**2 = 0.
15
Let b(x) be the third derivative of x**8/1848 - x**7/165 + 19*x**6/660 - 5*x**5/66 + 4*x**4/33 - 4*x**3/33 + 9*x**2. Find m, given that b(m) = 0.
1, 2
Let l(u) = -4*u**4 - 4*u**3 + 13*u**2 - 5*u. Let t(j) = -6*j**4 - 6*j**3 + 20*j**2 - 8*j. Let o(n) = 8*l(n) - 5*t(n). Factor o(v).
-2*v**2*(v - 1)*(v + 2)
Suppose -5*p + 6 = -4*g - 8, 2*g + 5*p + 22 = 0. Let u be (-20)/(-15) - (-5)/g. Factor -1/2*w + u*w**3 - 1 + w**2.
(w - 1)*(w + 1)*(w + 2)/2
Let k = 92 - 90. Let q(t) be the first derivative of -1/4*t + 3/8*t**k - 1/12*t**3 + 1/10*t**5 + 4 - 3/16*t**4. Let q(g) = 0. Calculate g.
-1, 1/2, 1
Let n(w) be the third derivative of w**9/2520 - w**8/420 + w**7/210 - w**5/60 + w**4/12 - 3*w**2. Let t(b) be the second derivative of n(b). Factor t(p).
2*(p - 1)**3*(3*p + 1)
Let y = -97 - -189. Solve y*t**3 + 8*t - 32*t**2 - 48*t**4 - 24*t**2 + 4*t**2 = 0.
0, 1/4, 2/3, 1
Let n(l) be the third derivative of l**8/1344 + l**7/840 - l**5/15 - 2*l**2. Let k(h) be the third derivative of n(h). Factor k(d).
3*d*(5*d + 2)
Let u(p) be the second derivative of p**7/315 - 4*p**6/225 + p**5/25 - 2*p**4/45 + p**3/45 - 5*p. Find y, given that u(y) = 0.
0, 1
Let y(f) = -5*f + 10. Let p be y(2). Let q(z) be the first derivative of p*z**3 + 0*z**2 - 1/18*z**4 + 0*z - 4. Solve q(t) = 0.
0
Let t(w) be the third derivative of 0 - 1/4*w**4 - 1/40*w**5 + 2/3*w**3 + 0*w + 1/120*w**6 + w**2. Let k(o) be the first derivative of t(o). Factor k(q).
3*(q - 2)*(q + 1)
Solve -4/7*b**3 - 2/7*b**2 + 0 - 2/7*b**4 + 0*b = 0.
-1, 0
What is f in 0*f**2 + 0 + 2/3*f**3 + 0*f + 5/3*f**4 = 0?
-2/5, 0
Let c(f) be the third derivative of -f**8/2520 + f**7/630 - f**5/90 + f**4/36 + f**3 - 4*f**2. Let h(g) be the first derivative of c(g). Factor h(i).
-2*(i - 1)**3*(i + 1)/3
Let h = -57 + 45. Let s be (-16)/(-7)*h/(-8). Let -8/7*f - 60/7*f**4 + 0 + s*f**2 - 50/7*f**5 + 22/7*f**3 = 0. Calculate f.
-1, 0, 2/5
Let d(x) be the second derivative of 0*x**5 + 0*x**2 + 0*x**3 - 1/30*x**6 + 0 + 0*x**4 - 4*x. What is c in d(c) = 0?
0
Let g be (2/(-8))/(35/(-56)). Factor 6/5*n**2 - g + 4/5*n**4 + 2/5*n - 2*n**3.
2*(n - 1)**3*(2*n + 1)/5
Find y, given that 0 + 5/7*y**2 - 2/7*y = 0.
0, 2/5
Let i(p) = -6*p**4 + 4*p**2 + 4*p - 4. Suppose 13 + 2 = -3*s. Let z(b) = -5*b**4 + b**3 + 5*b**2 + 5*b - 5. Let u(t) = s*i(t) + 4*z(t). Factor u(n).
2*n**3*(5*n + 2)
Suppose -q - 4*q + 10 = 0. Suppose 6*w**3 + q*w**2 - 3*w**3 - 2*w**3 + w = 0. What is w?
-1, 0
Determine v, given that 10*v + v**2 + 3*v**3 - v**3 - 10*v + v**4 = 0.
-1, 0
Let t(j) be the first derivative of 3*j**5/20 - 3*j**4/8 + j**3/4 + 19. Factor t(c).
3*c**2*(c - 1)**2/4
Suppose 3 = 3*r + 3*l, l = -3*r + r + 3. Let s be (-22)/(-8) + (-48)/64. Suppose i - 2 + r + 5*i**2 - 4*i**s = 0. What is i?
-1, 0
Let m be (2 - 5)/(-18) - 0. What is z in 1/6*z + 0 - m*z**2 = 0?
0, 1
Suppose -4*d = -3*s - 2, d + 2 = -5*s + 14. Suppose r + 3 = 6. Factor -2*n**s - n**3 + 7*n - 7*n + 0*n**r.
-n**2*(n + 2)
Suppose 36 = 13*t - 7*t. Factor 5/2*v**4 + 2*v**2 + 0 - t*v**3 + 0*v.
v**2*(v - 2)*(5*v - 2)/2
Let t be (-4)/(-6) + (-7)/(-3). Suppose -2*o = -3*g - 5*o + t, -2*o + 2 = 0. Find p, given that 1/4*p**2 + g*p - 1/4 = 0.
-1, 1
Let k be (15/(-25))/(4/(-5)). Factor -k*s**2 - 3/2 - 9/4*s.
-3*(s + 1)*(s + 2)/4
Factor 80/7*j + 800/7 + 2/7*j**2.
2*(j + 20)**2/7
Let w(m) be the second derivative of m**4/6 - 2*m**3 + 9*m**2 - 5*m. Determine d so that w(d) = 0.
3
Let d(q) be the second derivative of 5*q**4/12 - 5*q**3/6 + q + 4. Factor d(a).
5*a*(a - 1)
What is w in 2*w**3 - 16 + 2*w**5 - 3*w**2 - 25*w**2 - 37*w**4 + 45*w**4 - 40*w = 0?
-2, -1, 2
Let j(c) = -4*c**2 + 4*c + 2. Let w(o) be the first derivative of 5*o**3/3 - 2*o**2 - 3*o + 2. Let a(h) = 3*j(h) + 2*w(h). What is k in a(k) = 0?
0, 2
Factor b**5 - 2 + 4 - 10*b**3 + 16 - 2*b**4 + 8*b**2 + 33*b.
(b - 3)**2*(b + 1)**2*(b + 2)
Let b = 9 + -9. Let f(p) be the second derivative of 