derivative of y(t). Factor f(j).
3*(j - 1)*(j + 1)*(3*j + 2)/5
Let b = 44 - 85/2. Solve -b*k**4 - 3/2*k - 9/2*k**2 + 0 - 9/2*k**3 = 0.
-1, 0
Suppose -j = 3*l + 2, 3*l + 14 = j - 2*l. Let g**5 + 3*g**3 + 6*g**j + 0*g**3 + 2*g**5 = 0. Calculate g.
-1, 0
Let n(d) be the first derivative of 3*d**4/32 + d**3/8 - 15*d**2/16 + 9*d/8 - 2. Suppose n(t) = 0. Calculate t.
-3, 1
Let c = 8 + -6. Suppose 3*j + j - 16 = 0, -c*j = t - 8. Factor t + 1/3*d + 1/3*d**2.
d*(d + 1)/3
Factor -1/2*u - 1/2*u**2 + 1/2*u**4 + 1/2*u**3 + 0.
u*(u - 1)*(u + 1)**2/2
Factor 9*u**3 + 0 + 3/2*u**4 + 18*u**2 + 12*u.
3*u*(u + 2)**3/2
Let h(u) be the second derivative of 1/40*u**5 + 0 + 0*u**2 - 1/48*u**4 + 0*u**3 - 1/120*u**6 - 2*u. Find z, given that h(z) = 0.
0, 1
Let m(d) be the second derivative of 1/21*d**7 + 0*d**3 + 0*d**2 + 1/10*d**6 + d - 1/12*d**4 + 0*d**5 + 0. Factor m(p).
p**2*(p + 1)**2*(2*p - 1)
Let m(l) be the first derivative of 0*l**3 + 0*l - 2/5*l**5 + 0*l**2 - 3 + 0*l**4. Suppose m(d) = 0. Calculate d.
0
Let c(i) be the third derivative of 7/6*i**4 + 0 - 6*i**2 - 4/3*i**3 + 0*i**5 - 3/10*i**6 + 0*i. Let c(q) = 0. Calculate q.
-1, 1/3, 2/3
Let y be (14/(-3) - -4)*-9. Suppose 3*q + y = 0, 0*q - 2*q = 3*a - 5. Solve 4/3*s + 0 - 10/3*s**a - 2*s**2 = 0.
-1, 0, 2/5
Let j(r) be the first derivative of -r**6/10 + 6*r**5/25 - 3*r**4/20 + 7. Factor j(b).
-3*b**3*(b - 1)**2/5
Let l(i) be the second derivative of -i**7/12600 - i**6/3600 + i**5/300 - i**4/3 + 2*i. Let m(u) be the third derivative of l(u). Solve m(f) = 0 for f.
-2, 1
Let p(i) be the third derivative of -1/24*i**3 - 3*i**2 - 1/15*i**5 + 1/12*i**4 + 0 + 0*i. Factor p(f).
-(4*f - 1)**2/4
Factor -1/2*w + 1/2*w**3 + w**2 - 1.
(w - 1)*(w + 1)*(w + 2)/2
Let o(g) be the first derivative of -12*g**5/5 + 3*g**3 + 3*g**2/2 + 32. Factor o(f).
-3*f*(f - 1)*(2*f + 1)**2
Let v(n) = n**2 + 4*n + 1. Let h(f) = -3*f**2 - 11*f - 2. Let u(w) = -3*h(w) - 8*v(w). Factor u(k).
(k - 1)*(k + 2)
Find p such that 40/3*p**3 + 5*p**4 + 10/3*p + 0 + 35/3*p**2 = 0.
-1, -2/3, 0
Suppose 5*s = 29 - 4. Let i(v) be the second derivative of v + 0*v**3 + 1/135*v**6 - 1/54*v**4 + 0*v**2 + 1/189*v**7 + 0 - 1/90*v**s. Let i(h) = 0. Calculate h.
-1, 0, 1
Suppose 0*g - 21 = g + b, -3*b = 9. Let w be g/(-40) + (-3)/12. Find s such that 0 - 1/5*s + 0*s**2 + w*s**3 = 0.
-1, 0, 1
Suppose 5*v = 5*a + 65, 31 = 2*v - 2*a - a. Let c(b) = b**2 - 7*b - 8. Let j be c(v). Factor j - 2/3*z**3 + 0*z + 2/3*z**4 + 2/3*z**5 - 2/3*z**2.
2*z**2*(z - 1)*(z + 1)**2/3
Let y = 27 - 20. Let f(o) be the third derivative of -o**2 - 1/84*o**4 + 0*o**3 + 0 - 1/210*o**5 + 0*o + 1/420*o**6 + 1/735*o**y. Factor f(b).
2*b*(b - 1)*(b + 1)**2/7
Let x(m) be the second derivative of 7*m**4/12 - 8*m**3/3 + 2*m**2 + 4*m. Factor x(a).
(a - 2)*(7*a - 2)
Let s(a) = -a**3 + a**2 - a + 1. Let w be s(1). Factor -2 + w*f**2 - 9*f + 3*f**2 + 2.
3*f*(f - 3)
Factor 6 - 5*t**2 + 8*t**2 - t - 6*t**2 + 2*t**2.
-(t - 2)*(t + 3)
Suppose -2 = 3*d - 11. Let n(v) be the third derivative of 0*v**d + 0 - 2*v**2 + 1/12*v**4 + 0*v + 1/30*v**5. Determine r so that n(r) = 0.
-1, 0
Let b(s) be the first derivative of -s**7/70 - s**6/20 + s**5/20 + s**4/4 - 2*s**2 - 1. Let h(t) be the second derivative of b(t). Suppose h(m) = 0. What is m?
-2, -1, 0, 1
Let h = 585/2 + -273. Let k = h - 19. Factor 0*u**2 + 0 + 0*u + 1/2*u**3 - k*u**4.
-u**3*(u - 1)/2
Let w(y) be the first derivative of -y - 2 - 1/3*y**3 - y**2. Factor w(v).
-(v + 1)**2
Determine i, given that -3*i**3 - i**4 + 2*i + i**2 + 33 + i**5 - 33 = 0.
-1, 0, 1, 2
Solve -2030/17*t**3 + 16/17 - 686/17*t**5 - 200/17*t + 1960/17*t**4 + 940/17*t**2 = 0.
2/7, 1
Factor 2/3*j**4 - 2*j + 26/3*j**2 + 14/3*j**3 - 12.
2*(j - 1)*(j + 2)*(j + 3)**2/3
Let c(m) be the second derivative of m**5/16 + 5*m**4/16 - 5*m**3/24 - 15*m**2/8 + 13*m. Let c(w) = 0. What is w?
-3, -1, 1
Suppose 0 = -21*w + 23*w - 8. Factor -1/6*t**w + 1/6*t**2 + 0 + 0*t + 0*t**3.
-t**2*(t - 1)*(t + 1)/6
Let k(q) be the third derivative of q**7/2100 + q**6/450 - q**3/3 - q**2. Let m(b) be the first derivative of k(b). Factor m(w).
2*w**2*(w + 2)/5
Let -1/2*u**2 + 0*u + 1/4*u**3 + 0 + 3/4*u**4 = 0. What is u?
-1, 0, 2/3
Let q(p) be the second derivative of -2*p**4/21 + p**3/7 + p**2/7 - 7*p. Factor q(a).
-2*(a - 1)*(4*a + 1)/7
Suppose 0 = -0*y - 2*y - 22. Let a = -11 - y. Solve 0*r - 2/3*r**3 + 2/3*r**4 + a*r**2 + 0 = 0.
0, 1
Factor 0 + 2*d**2 - 2*d**3 + 0*d + 1/2*d**5 - 1/2*d**4.
d**2*(d - 2)*(d - 1)*(d + 2)/2
Let y(m) be the first derivative of 10*m**3/3 - 65*m**2/6 + 10*m/3 + 8. Factor y(h).
5*(h - 2)*(6*h - 1)/3
Let o(s) be the second derivative of -9/20*s**5 - 1/10*s**6 + 0 + 0*s**2 + 0*s**3 + 3*s + 0*s**4. Determine m, given that o(m) = 0.
-3, 0
Let h(k) be the third derivative of k**6/360 + k**5/40 + k**4/12 + 7*k**3/6 - k**2. Let p(v) be the first derivative of h(v). Factor p(n).
(n + 1)*(n + 2)
Let x = -14 + 14. Let g(m) be the third derivative of 0 - 1/90*m**5 + 0*m**4 + x*m**3 + 0*m**6 + 1/315*m**7 + 0*m + m**2. Factor g(w).
2*w**2*(w - 1)*(w + 1)/3
Suppose 22 = 3*b + 1. Let k = -5 + b. Factor 2/3*j + 0 - 2/3*j**k.
-2*j*(j - 1)/3
Let v be 0 - 2 - 10/(-2). Let d be (-14)/(-21) + (-4)/(-3). Factor 6*c**2 + 6*c - d + c - v*c.
2*(c + 1)*(3*c - 1)
Let z be (((-75)/(-6))/(-5))/((-2)/4). Let b(d) be the third derivative of 0*d + 1/4*d**4 - 1/3*d**3 + 3/40*d**z + d**2 - 7/240*d**6 + 0. What is m in b(m) = 0?
-1, 2/7, 2
Factor 2/5*q**2 + 72/5 + 24/5*q.
2*(q + 6)**2/5
Let v be 2/((-6)/21 - 0). Let s = v + 11. Find f such that 2/5*f + 12/5*f**3 - 8/5*f**2 + 2/5*f**5 + 0 - 8/5*f**s = 0.
0, 1
Suppose 2*l - 5*x = -4*x + 2, -1 = -3*l + 2*x. Let f(z) be the first derivative of 4*z - 3*z**2 + 3/2*z**4 - 2/3*z**l - 2/5*z**5 - 3. Factor f(d).
-2*(d - 2)*(d - 1)**2*(d + 1)
Let z be -142*(-4 + 6)/(-4). Let t = 217/3 - z. Suppose 1/3*n + 4*n**3 + 7/3*n**2 + 0 - 16/3*n**5 - t*n**4 = 0. What is n?
-1/2, -1/4, 0, 1
Determine m so that 1/7*m**2 + 9/7 - 6/7*m = 0.
3
Let x be 11 + -13 + 2 + 0. Let y(w) be the second derivative of x - 1/12*w**4 + w - 1/5*w**3 - 1/10*w**2 + 3/25*w**5. Find f, given that y(f) = 0.
-1/3, -1/4, 1
Suppose 0 = -0*d - d + 1. Let m = 1 + d. Determine y, given that -m - 2*y**2 + 4*y**2 + 4 + 4*y = 0.
-1
Let a be 1/(-4) + (-527)/(-124). Find i such that 27/2*i**2 + 3/2 - 15/2*i + 3*i**a - 21/2*i**3 = 0.
1/2, 1
Let v(q) = 2*q**3 - 2*q**2 - 2*q + 5. Let m be (0 + (-2 - 1))*-1. Let l(h) = -2*h - 2*h**2 - h**m - 1 + 5 + 3*h**3. Let j(k) = 3*l(k) - 2*v(k). Factor j(y).
2*(y - 1)**2*(y + 1)
Let r(v) = -v**3 + v**2 - v + 3. Let d be -3 - (-10 - (-3)/3). Let n(u) = 2*u**3 - 3*u**2 + 3*u - 7. Let s(h) = d*n(h) + 15*r(h). Factor s(i).
-3*(i - 1)*(i + 1)**2
Let k(i) = -5*i**2 + 2*i + 3. Let v be k(-2). Let c be ((-6)/14)/(v/28). Determine a so that -2/7*a**2 + 0 - c*a = 0.
-2, 0
Let w(l) be the first derivative of l**4/2 - 4*l**3 + 9*l**2 - 8*l - 43. Suppose w(f) = 0. What is f?
1, 4
Let h be -118*2/(-84)*1. Let r = h - 15/7. Determine b, given that r*b + 2/3*b**2 - 4/3 = 0.
-2, 1
Let s(u) be the first derivative of -7*u**5/5 - 3*u**4 - u**3 + u**2 - 43. Factor s(c).
-c*(c + 1)**2*(7*c - 2)
Let y(t) be the first derivative of 12*t**5/5 + 57*t**4/4 + 11*t**3 - 6*t**2 - 34. Let y(w) = 0. What is w?
-4, -1, 0, 1/4
Let p(k) be the third derivative of 1/20*k**5 + 0 - 1/6*k**3 + 0*k - 1/12*k**4 + 3*k**2. Factor p(w).
(w - 1)*(3*w + 1)
Let x(p) be the first derivative of p**7/63 - p**6/45 - p**5/15 + p**4/9 + p**3/9 - p**2/3 + 4*p - 3. Let i(m) be the first derivative of x(m). Factor i(k).
2*(k - 1)**3*(k + 1)**2/3
Suppose 2*y - 26 = -4*m, -4*y + 9 = -y. Suppose 3*p = b + 7, 1 + m = 2*p - 2*b. What is w in 3/4*w**p + 0 - 3/4*w**3 - 1/4*w + 1/4*w**4 = 0?
0, 1
Let p(c) be the second derivative of c**7/84 + c**6/30 + c**5/40 - 2*c. Find d, given that p(d) = 0.
-1, 0
Let 0 + 0*o - 2/15*o**5 + 2/3*o**3 - 2/15*o**4 - 2/5*o**2 = 0. What is o?
-3, 0, 1
Solve -2/7*u**2 - 2/7 + 4/7*u = 0 for u.
1
Let r(t) be the second derivative of -t**6/10 + 9*t**5/40 - t**3/4 - 11*t. Determine h, given that r(h) = 0.
-1/2, 0, 1
Factor 15/2*k - 9 - 3/2*k**2.
-3*(k - 3)*(k - 2)/2
Suppose -1/4*v**2 + 2*v - 4 = 0. What is v?
4
Let q(r) be the first derivative of 0*r**2 - r + 1/3*r**3 - 2. Factor q(k).
(k - 1)*(k + 1)
Let u(f) be the firs