 z(y) = 2*j(y) - 21*p(y). Factor z(q).
-3*q*(q - 2)**3
Let z(u) = -5*u**2 - 3. Suppose 5 = -b - 2*n, 0*b + 4*b + 13 = -n. Let f(k) = -k**3 - 4*k**2 + k - 2. Let m = -3 + 7. Let a(g) = b*z(g) + m*f(g). Factor a(s).
-(s - 1)*(s + 1)*(4*s + 1)
Let v(m) be the third derivative of 0 + 5*m**2 + 9/4*m**4 + 1/60*m**6 + 0*m - 9*m**3 - 3/10*m**5. Let v(o) = 0. What is o?
3
Let m be 2 + (7 - (-366)/(-42)). Factor -1/7 - 1/7*u**2 + m*u.
-(u - 1)**2/7
Let x(q) = 2*q**3 + 4*q + 4. Suppose 4*o - 2*l - 2 = 0, 0 = -o + 4*l - 2*l + 2. Let i = o + 4. Let p(t) = -t**3 - t - 1. Let w(b) = i*p(b) + x(b). Factor w(d).
-2*d**3
Let y(i) be the first derivative of i**6/480 + i**3/3 + 2. Let g(a) be the third derivative of y(a). Factor g(q).
3*q**2/4
Suppose -4*m - b + 22 = 0, 4*m = -4*b + 21 + 7. Let t(o) = -o**2 - o - 1. Let i(j) = -j**3 - 5*j**2 - 5*j - 5. Let v(w) = m*t(w) - i(w). Factor v(y).
y**3
Let l be (-10)/(-45) - (-52)/9. What is r in 5*r**3 + l*r**3 - 4*r + 9*r**4 + 3*r**4 - 7*r**5 - 12*r**2 = 0?
-1, -2/7, 0, 1, 2
Let i be ((-6)/4)/((-3)/6). Find d, given that -5*d**i - 7*d**3 - 3*d**2 + 9*d**3 = 0.
-1, 0
Factor 10*o**2 + 4*o + 0*o + 40*o**4 - 3*o + 16*o**5 + 32*o**3 + o**3.
o*(o + 1)**2*(4*o + 1)**2
Let p be ((-60)/(-40))/(1 - -224). Let s(a) be the third derivative of 0*a + 1/15*a**3 + 1/30*a**4 + p*a**5 + 0 - 3*a**2. Factor s(v).
2*(v + 1)**2/5
Solve -6*g - 4*g**2 + 2*g**4 - 2*g**5 + 2*g**4 + 8*g = 0.
-1, 0, 1
Let i(c) be the second derivative of 1/60*c**4 + 1/100*c**5 + 0 + c - 1/30*c**3 - 1/10*c**2. Factor i(u).
(u - 1)*(u + 1)**2/5
Suppose -2*w - 10 = -c, 3*c = w + 9 + 1. Let j(u) be the second derivative of 0 + 1/20*u**5 + 2*u + 1/6*u**4 + 0*u**c + 1/6*u**3. Suppose j(m) = 0. What is m?
-1, 0
Let b = 7/8 - 3/8. Let k be ((-45)/(-120))/(7/4 + -1). Factor 1/2*z + b - k*z**3 - 1/2*z**2.
-(z - 1)*(z + 1)**2/2
Let j(c) be the first derivative of -4*c**5/25 + c**4/5 + 8*c**3/15 + 23. Factor j(f).
-4*f**2*(f - 2)*(f + 1)/5
Let h(a) be the third derivative of 0*a**3 + 0*a**5 + 0 + 0*a + 1/60*a**6 + 2*a**2 - 1/12*a**4. What is b in h(b) = 0?
-1, 0, 1
Let x = 14 - 5. Let x*y**5 - 14*y**2 - 7*y**2 - 33*y**4 - 1 + 9*y + 46*y**3 + 0 - 9*y**2 = 0. What is y?
1/3, 1
Let m(n) = 3*n**3 + 174*n**2 + 402*n + 78. Let u(b) = b**3 - b + 1. Let g(z) = -m(z) - 18*u(z). Let g(j) = 0. Calculate j.
-4, -2/7
Let k(r) = -r**3 + 4*r**2 - 3*r. Let w be k(3). Let f(t) be the third derivative of -1/30*t**5 + 0*t + 0 + w*t**3 + 1/6*t**4 - 3*t**2. Factor f(h).
-2*h*(h - 2)
Let o(q) be the third derivative of q**7/1176 + 11*q**6/1260 + q**5/30 + q**4/21 + 2*q**3/3 + 7*q**2. Let t(d) be the first derivative of o(d). Factor t(s).
(s + 2)**2*(5*s + 2)/7
Factor -2*y**4 - 4*y**2 - y**2 + 5*y**2 + 6*y**3.
-2*y**3*(y - 3)
Let i = 19 + -19. Let u(x) be the second derivative of i*x**2 + 0*x**5 + 1/24*x**4 + 1/168*x**7 - 1/60*x**6 + 2*x + 0 - 1/24*x**3. Solve u(g) = 0.
-1, 0, 1
Let h(f) be the second derivative of -f**6/105 - 2*f**5/35 - 2*f**4/21 + f - 22. Solve h(t) = 0.
-2, 0
Let x(j) be the second derivative of -9*j**7/14 - 3*j**6/10 + 69*j**5/20 - 13*j**4/4 + j**3 - 4*j. Solve x(a) = 0.
-2, 0, 1/3, 1
Let b(i) be the third derivative of 3*i**7/35 + 7*i**6/60 - 2*i**5/3 + i**4/3 - 14*i**2. Factor b(k).
2*k*(k - 1)*(k + 2)*(9*k - 2)
Let d be -2 + 476/(-240) + 4. Let q(t) be the third derivative of -2*t**2 + 0*t**5 + 0 - 1/4*t**4 + d*t**6 + 0*t + 2/3*t**3. Factor q(r).
2*(r - 1)**2*(r + 2)
Let u(z) be the first derivative of 1/12*z**3 + 8 + 0*z + 0*z**2. Solve u(t) = 0 for t.
0
Suppose -60 = -5*k - 4*q, -5*k + 7 = -3*k + 5*q. Let u = -46/3 + k. Factor 1/3*l**4 + u - 5/3*l**3 - 7/3*l + 3*l**2.
(l - 2)*(l - 1)**3/3
Let r = -207 + 1865/9. Let t(j) be the first derivative of -1 + r*j**3 + 1/3*j**2 + 0*j. Factor t(v).
2*v*(v + 1)/3
Let x(i) be the first derivative of 98*i**5/5 - 14*i**4 + 8*i**3/3 + 2. Factor x(k).
2*k**2*(7*k - 2)**2
Let s = -3 - 4. Let b = s - -9. Solve -6*n**2 - 4*n**b - 2*n**4 - n - 2*n - n - 8*n**3 = 0.
-2, -1, 0
Factor -10*j**3 - 3*j**2 - 10 + j**3 + 24*j - 2.
-3*(j - 1)*(j + 2)*(3*j - 2)
Let z(n) = -n - 11. Let w be z(-12). Let j(i) = -3*i**2 + 8 + 8*i - 2 - 5*i**2. Let l(m) = -m**2 + m + 1. Let s(r) = w*j(r) - 6*l(r). Solve s(y) = 0.
0, 1
Let q(j) be the first derivative of 7/20*j**4 + 1/3*j**3 + 0*j + 3/25*j**5 + 1/10*j**2 - 3. Solve q(f) = 0 for f.
-1, -1/3, 0
Let a(h) = h**3 - 4*h**2 + 4*h + 1. Let i be a(3). Factor -2 - 4*j + 2*j**2 + i + 0.
2*(j - 1)**2
Let w = -1/171 - -857/342. Let j(h) be the first derivative of -14/5*h**5 + 0*h**2 + 4/3*h**3 + 0*h - w*h**4 + 3. Determine o, given that j(o) = 0.
-1, 0, 2/7
Let d(y) be the first derivative of -y**5/70 + y**4/42 + 2*y**3/21 + 3*y + 1. Let k(q) be the first derivative of d(q). Factor k(j).
-2*j*(j - 2)*(j + 1)/7
Factor -58 + 119 + 0*b**2 - 47 - 2*b**2 - 12*b.
-2*(b - 1)*(b + 7)
Determine y so that -3/2*y + 1/4*y**2 + 9/4 = 0.
3
Let g = 84 + -81. Let f(a) be the second derivative of -55/12*a**4 + 7/20*a**5 + 14/3*a**g + 0 - 5/6*a**7 + 2*a + 59/30*a**6 - 2*a**2. Solve f(v) = 0.
-1, 2/7, 2/5, 1
Let l(s) be the first derivative of s**5/70 - s**4/21 + s**3/21 - 3*s - 4. Let g(f) be the first derivative of l(f). Suppose g(h) = 0. What is h?
0, 1
Let f(t) be the second derivative of 2*t**5/15 - t**4/18 + 8*t. Factor f(z).
2*z**2*(4*z - 1)/3
Let t(n) be the second derivative of -2/3*n**3 - 4*n + 1/6*n**4 + 0 + n**2. Factor t(s).
2*(s - 1)**2
Let y(i) = 17*i**2 + 24*i + 7. Let n(k) = 4*k**2 + 6*k + 2. Let x(d) = 18*n(d) - 4*y(d). Factor x(g).
4*(g + 1)*(g + 2)
Let k(i) be the first derivative of -i**4/14 + 2*i**3/7 + i**2/7 - 6*i/7 - 14. What is l in k(l) = 0?
-1, 1, 3
Let f(g) be the second derivative of 0 - 3/80*g**5 + 1/40*g**6 + 2*g + 1/48*g**4 - 1/168*g**7 + 0*g**3 + 0*g**2. Factor f(w).
-w**2*(w - 1)**3/4
Suppose 0*l = 2*l - 10. Suppose -l*j + 3 = -7. Let 4*n - 5*n**j + 3 + 3*n**2 - 11 + 4*n = 0. Calculate n.
2
Solve 802*t + 4 - 3*t**3 - 5*t**2 - 803*t - 3 = 0 for t.
-1, 1/3
Let k(s) be the third derivative of 0 + 4*s**2 + 0*s**3 - 1/35*s**7 + 0*s**6 - 1/8*s**4 + 1/112*s**8 + 0*s + 1/10*s**5. Factor k(d).
3*d*(d - 1)**3*(d + 1)
Let r(h) be the first derivative of -h**4/4 + h - 2. Let k(d) be the first derivative of r(d). Factor k(o).
-3*o**2
Let v(q) be the second derivative of -q**6/60 + q**5/20 + q**4/8 - q**3/3 - q**2 + 13*q. Factor v(g).
-(g - 2)**2*(g + 1)**2/2
Let b = -85 - -146. Let f = 247/4 - b. Let 1/4 + f*v**2 - 3/4*v - 1/4*v**3 = 0. Calculate v.
1
Let v(i) be the third derivative of -i**7/315 + i**6/90 + i**5/30 + 8*i**2. Let v(n) = 0. Calculate n.
-1, 0, 3
Let n be (-6)/4*2*2. Let v = 17 - 12. Let l(z) = -8*z**2 - 4*z - 6. Let q(p) = -7*p**2 - 4*p - 5. Let s(u) = n*q(u) + v*l(u). Factor s(t).
2*t*(t + 2)
What is j in 3/2 - 3/4*j**2 + 3/4*j = 0?
-1, 2
Let v(w) be the third derivative of -w**8/3360 + w**7/630 - w**6/360 + w**4/8 - 3*w**2. Let p(h) be the second derivative of v(h). Factor p(f).
-2*f*(f - 1)**2
Let n(o) = -14*o**3 + 18*o**2 - 6*o. Let j(f) = 15*f**3 - 19*f**2 + 7*f. Let y(a) = 2*j(a) + 3*n(a). Factor y(p).
-4*p*(p - 1)*(3*p - 1)
Factor 10/13*g**4 + 8/13*g**2 + 0 - 32/13*g**3 + 0*g + 50/13*g**5.
2*g**2*(g + 1)*(5*g - 2)**2/13
Suppose 0 = -k + 2. Factor -3*m**2 + m**2 + 2*m**3 + k*m**4 - 2*m + 0*m**2.
2*m*(m - 1)*(m + 1)**2
Let a(f) be the third derivative of -10*f**2 - 1/24*f**4 + 0*f + 0 + 0*f**3 - 1/120*f**5. Factor a(c).
-c*(c + 2)/2
Let u(h) = -h**5 + h**4 - 20*h**2 + 6*h + 7. Let w(j) = -j**5 + j**4 + j**3 - 19*j**2 + 6*j + 6. Let k(p) = 6*u(p) - 7*w(p). Factor k(v).
v*(v - 2)*(v - 1)**2*(v + 3)
Let r(x) be the first derivative of x**9/4536 - x**8/840 + x**7/420 - x**6/540 - 4*x**3/3 + 1. Let d(l) be the third derivative of r(l). Factor d(n).
2*n**2*(n - 1)**3/3
Factor 4/5*s**2 + 8/5*s**3 - 2*s + 4/5 + 2/5*s**5 - 8/5*s**4.
2*(s - 2)*(s - 1)**3*(s + 1)/5
Suppose -2*w = 2*w + 28. Let s be ((-8)/36)/(w/63). Let 0 + 2/3*y**5 + 2/3*y**4 + 0*y - 2/3*y**s - 2/3*y**3 = 0. What is y?
-1, 0, 1
Let j(c) = c**2 - 2*c - 6. Let n be j(4). Let r = 637/5 + -127. Let 2/5*f**n + 0*f + 0 + r*f**3 = 0. What is f?
-1, 0
What is y in 1/3*y**2 - 2/3*y + 1/3 = 0?
1
Let q = 1/148 + 291/740. Let o(l) be the first derivative of 0*l - 2/3*l**3 - 1/12*l**6 - 1/4*l**2 - 4 - 3/4*l**4 - q*l**5. Solve o(d) = 0.
-1, 0
Let