rivative of -2/21*l**3 - 2 + b*l - 1/7*l**2 + 1/14*l**4. Suppose u(r) = 0. Calculate r.
-1, 1
Let v(i) be the first derivative of 3*i**4/8 - 3*i**2/4 - 8. Determine s, given that v(s) = 0.
-1, 0, 1
Suppose 70 = -f - 4*f. Let b = 14 + f. Factor b + 0*t - 1/4*t**2.
-t**2/4
Let m(f) = -2*f**4 + 9*f**3 - 5*f**2 - 4*f + 7. Let p(w) = -w**4 + 4*w**3 - 2*w**2 - 2*w + 3. Let y(x) = -4*m(x) + 10*p(x). Factor y(i).
-2*(i - 1)**3*(i + 1)
Let t(o) be the second derivative of -1/60*o**5 + 0 + 2*o - 1/12*o**4 - 1/9*o**3 + 0*o**2. Suppose t(s) = 0. What is s?
-2, -1, 0
Let i(x) = -3*x**2 + 7*x. Suppose -y - 2*p + 0 = 9, 10 = -y - 3*p. Let b(q) = -2*q**2 + 5*q. Let r be (-10*1)/((-2)/1). Let a(j) = r*i(j) + y*b(j). Factor a(o).
-o**2
Solve 0 + 0 + 4 - 2*r - 2*r**2 = 0.
-2, 1
Let r(x) be the third derivative of 1/3*x**3 + 2*x**2 - 13/120*x**6 + 0*x - 1/42*x**7 - 3/20*x**5 + 1/24*x**4 + 0. What is a in r(a) = 0?
-1, 2/5
Let g(d) be the second derivative of 5*d**8/1512 - 2*d**7/945 + 2*d**2 - 5*d. Let r(w) be the first derivative of g(w). Factor r(n).
2*n**4*(5*n - 2)/9
Let o(s) = -s - 4. Let q(b) = -2*b - 4. Let l(w) = 3*o(w) - 2*q(w). Let m be l(6). Factor 5*r**m - r**3 + 5*r**3 + 2*r - r**3.
r*(r + 1)*(3*r + 2)
Let w(v) = 3*v - 92. Let t be w(32). Solve 0 + 3/2*m**2 - 1/2*m + 1/2*m**t - 3/2*m**3 = 0 for m.
0, 1
Let m be (4/40)/((-14)/(-964)). Let n = -33/5 + m. Find o such that 0 + 2/7*o**2 + n*o = 0.
-1, 0
Let f(o) be the first derivative of -o**6/12 - o**5/5 + o**4/8 + o**3/3 + 10. Determine y so that f(y) = 0.
-2, -1, 0, 1
Let s(l) be the third derivative of -1/180*l**6 + 0*l + 0*l**4 + 0 + 4*l**2 + 4/315*l**7 + 0*l**5 + 0*l**3. Factor s(t).
2*t**3*(4*t - 1)/3
Find n, given that -n**3 - 9*n + n**2 + 9*n = 0.
0, 1
Let x be 0/(5 + (-16)/4). Let y(i) be the third derivative of 0*i - i**2 - 1/150*i**5 - 1/15*i**3 + x + 1/30*i**4. Factor y(u).
-2*(u - 1)**2/5
Suppose 0 = 15*y - 7*y + 21*y. Solve y*m + 0 + 1/4*m**4 - 1/4*m**3 + 0*m**2 = 0 for m.
0, 1
Let z(f) be the third derivative of -f**6/30 - f**5/15 + f**4/3 + f**2. Find i such that z(i) = 0.
-2, 0, 1
Let m(y) = y**4 - 8*y**3 - 14*y**2 + 3*y + 3. Let k(o) = -2*o**4 + 7*o**3 + 13*o**2 - 3*o - 3. Let n(w) = -5*k(w) - 4*m(w). Factor n(a).
3*(a - 1)**2*(a + 1)*(2*a + 1)
Suppose c + 0*c - h - 2 = 0, 0 = -c + 5*h - 2. Factor 0 + 1/4*v**c + 0*v**4 + 0*v**2 - 1/4*v**5 + 0*v.
-v**3*(v - 1)*(v + 1)/4
Let v be (6/(-40))/((-135)/(-6960)). Let j = v + 42/5. Solve -j*z**4 + 0 + 8/9*z**2 + 0*z - 8/9*z**3 = 0 for z.
-2, 0, 2/3
Factor -5/2*q**3 + 10*q**2 - 10 + 5/2*q.
-5*(q - 4)*(q - 1)*(q + 1)/2
Let v = -21 + -3. Let c be (-3)/(-4) + 10/v. Suppose -1/3*z**4 - 1/3*z**3 + 0 + 1/3*z**2 + c*z = 0. Calculate z.
-1, 0, 1
Find q, given that 0 + 0*q**3 + 2/5*q**4 + 4/5*q - 6/5*q**2 = 0.
-2, 0, 1
Let y(p) be the first derivative of -p**6/10 + 6*p**5/25 - 2*p**3/5 + 3*p**2/10 + 7. Find f such that y(f) = 0.
-1, 0, 1
Let f(v) be the second derivative of v**7/63 - 4*v**6/15 + 53*v**5/30 - 53*v**4/9 + 32*v**3/3 - 32*v**2/3 + 38*v. Find j, given that f(j) = 0.
1, 2, 4
Suppose 0 = 2*l - 0*l - 8. Suppose -d + 2*d = -5*x + 30, 24 = l*x + 4*d. Find n, given that -3*n**2 - 4*n**3 + 4*n**4 + n**2 - x*n**4 = 0.
-1, 0
Suppose 3*w - 2*w + 62 = 4*o, -w = -3*o + 46. Suppose 5*m - o = m. Suppose -2/3*h**m + 0 + 2/3*h**3 + 0*h + 0*h**2 = 0. What is h?
0, 1
Let i be 42/8 - (-19 - -24). Factor 1/4*m**2 + 0 + 0*m + 0*m**3 - i*m**4.
-m**2*(m - 1)*(m + 1)/4
Let g = 80 - 80. Factor -2/7*d**5 + g*d**3 + 0 + 0*d + 0*d**2 + 2/7*d**4.
-2*d**4*(d - 1)/7
Factor -2*l**2 - 19*l - 2 + 20*l - l**3 + 4*l**2.
-(l - 2)*(l - 1)*(l + 1)
Let j be -9*(2/(-12))/(10/40). Let p(q) be the third derivative of -q**2 + 0*q + 2/21*q**3 - 11/84*q**4 - 1/60*q**j + 0 + 8/105*q**5. Factor p(m).
-2*(m - 1)**2*(7*m - 2)/7
Let r(l) be the third derivative of 1/27*l**3 + 1/1512*l**8 + 1/945*l**7 + 5*l**2 - 1/270*l**6 + 1/108*l**4 + 0 - 1/135*l**5 + 0*l. Factor r(o).
2*(o - 1)**2*(o + 1)**3/9
Let q(o) be the second derivative of o - 1/147*o**7 + 1/70*o**5 + 0*o**2 + 0*o**4 + 0*o**6 + 0*o**3 + 0. Solve q(f) = 0.
-1, 0, 1
Factor -9 - 16 - 27*u - 13*u - 18*u**2 + 17.
-2*(u + 2)*(9*u + 2)
Let r(b) = -b**2 - b - 1. Let m(x) = 2*x**3 + 7*x**2 + 3*x + 3. Let s(y) = m(y) + 5*r(y). Factor s(u).
2*(u - 1)*(u + 1)**2
Let l be (-5)/(-2*(-3)/(-48)). Suppose -k = 4*k - 4*b - l, -3*k + 17 = -b. Factor m - 4*m - k*m - 2*m**2 + 3*m.
-2*m*(m + 2)
Let h(d) be the first derivative of d**4/20 - 2*d**3/15 + 3. Suppose h(j) = 0. Calculate j.
0, 2
Let f = 83/1590 + -1/53. Let q(g) be the second derivative of 0 + 10/3*g**3 + 3*g + f*g**6 + 3/2*g**4 + 7/20*g**5 + 4*g**2. Factor q(w).
(w + 1)*(w + 2)**3
Let q(h) be the first derivative of -5*h**4/4 - 5*h**3/3 + 10*h**2 + 20*h - 40. Factor q(r).
-5*(r - 2)*(r + 1)*(r + 2)
Let t(u) = 6*u**4 - 14*u**3 + 16*u**2 - 4*u + 2. Let j(a) = a**3 + 15*a - 15*a + 1 + a**2. Let c(h) = 2*j(h) - t(h). Factor c(s).
-2*s*(s - 1)**2*(3*s - 2)
Suppose 0 = -0*n - n + 110. Let x be (n/(-25))/((-16)/10). Solve -x*c**3 + 1/2*c**2 + 0*c + 9/4*c**4 + 0 = 0.
0, 2/9, 1
Let x = -4 - -2. Let g be ((-12)/(-18))/(x/(-24)). Factor -g*q - q + 6*q**2 - 2*q**3 + 2 + 3*q.
-2*(q - 1)**3
Let u(z) be the third derivative of -z**8/588 + 4*z**7/735 - z**6/210 - 2*z**2 + 6*z. Suppose u(g) = 0. What is g?
0, 1
Suppose -7*w + 5 - 5 = 0. What is r in w - 1/5*r**5 + 0*r - 4/5*r**2 - r**4 - 8/5*r**3 = 0?
-2, -1, 0
Suppose 108*t - 119*t = 0. Factor t*j**2 + 0 - 1/5*j**4 - 1/5*j**3 + 0*j.
-j**3*(j + 1)/5
Let q(b) be the first derivative of -2*b**5/35 - 3*b**4/14 + 4*b**2/7 + 13. Solve q(f) = 0.
-2, 0, 1
Let s be (-3)/(-4)*6/54. Let f(p) be the first derivative of 1/8*p**2 + s*p**3 + 1 + 0*p. Find y, given that f(y) = 0.
-1, 0
Let v(l) be the first derivative of -5*l**3 + 3*l**2 + 9*l + 27. Factor v(b).
-3*(b - 1)*(5*b + 3)
Let b(r) be the second derivative of -2*r**7/189 - 2*r**6/45 - r**5/15 - r**4/27 - 18*r. Factor b(m).
-4*m**2*(m + 1)**3/9
Suppose 4*m + 15 = 5*t + 9*m, 0 = t - 3*m + 9. Factor 1/4*c**2 + t - 1/4*c.
c*(c - 1)/4
Let t(g) be the third derivative of g**8/112 - 3*g**7/70 + 3*g**6/40 - g**5/20 - 23*g**2. Factor t(u).
3*u**2*(u - 1)**3
Let o = -1838/7 - -263. Determine t, given that -o - 75/7*t**2 - 60/7*t**3 + 30/7*t + 240/7*t**4 + 192/7*t**5 = 0.
-1, 1/4
Let r(c) be the first derivative of 3 + 0*c**2 + 2/3*c**3 + 1/180*c**6 + 1/3*c**4 + 1/15*c**5 + 0*c. Let s(u) be the third derivative of r(u). Factor s(j).
2*(j + 2)**2
Let n(w) = -w**2 - 5*w + 6. Let o be n(-6). Suppose i - 7 = -o*i. Factor l**3 + 3*l**3 - l**3 - i*l**2 + 4*l**2.
3*l**2*(l - 1)
Let c(z) be the second derivative of -z**6/30 - z**5/20 + z**4/12 + z**3/6 + 5*z. Factor c(n).
-n*(n - 1)*(n + 1)**2
Factor 2/5*l**2 + 0*l**3 - 2/15*l**4 + 0 + 4/15*l.
-2*l*(l - 2)*(l + 1)**2/15
Let i(d) be the first derivative of -2*d**3/3 + d**2 + 1. Factor i(n).
-2*n*(n - 1)
Let s(n) be the first derivative of 0*n - 1/5*n**5 - 1/3*n**3 + 0*n**2 + 1/2*n**4 - 3. Suppose s(t) = 0. What is t?
0, 1
Let c(f) be the first derivative of -8*f**3/9 + 14*f**2/3 - 4*f - 9. Factor c(v).
-4*(v - 3)*(2*v - 1)/3
Let i(o) be the first derivative of o**7/7 + o**6/15 - o**5/5 - o + 1. Let b(w) be the first derivative of i(w). Let b(n) = 0. What is n?
-1, 0, 2/3
Let t be (-32)/(-12) - 1/(-3). Let s(f) be the first derivative of -1/6*f**t + 1/8*f**4 + 1/10*f**5 - 1/4*f**2 + 1 + 0*f. Factor s(j).
j*(j - 1)*(j + 1)**2/2
Let t(l) be the third derivative of -l**5/120 - l**4/6 - 4*l**3/3 + 16*l**2. Let t(i) = 0. What is i?
-4
Factor -715 + 6*n**2 + 3*n**3 + 715 - 3*n**4.
-3*n**2*(n - 2)*(n + 1)
Let k(t) be the third derivative of -t**9/362880 - t**8/60480 - t**7/30240 + t**5/10 + 5*t**2. Let f(g) be the third derivative of k(g). Solve f(d) = 0 for d.
-1, 0
What is b in 4/5*b + 4/5*b**2 - 8/5 = 0?
-2, 1
Let v = -1466 + 1468. Suppose 0*t + 2/3*t**3 + 2*t**v - 8/3 = 0. What is t?
-2, 1
Let s(h) be the second derivative of -h**6/135 - h**5/30 - h**4/27 + 40*h. Let s(t) = 0. Calculate t.
-2, -1, 0
Suppose 5*b = 3*f + 4*b - 16, 4*f - 3*b = 28. Suppose 5*q + 18 = f*t, t + 1 = 4*q + 11. Determine v, given that v - 3*v + v**2 + 7*v**t = 0.
0, 1/4
Let m(g) be the first derivative of -g**4/6 - 2*g + 2. Let r(b) be the first derivative of m(b). Factor r(i).
-2*i**2
Factor 0*i + 0 - 1/2*i