s r in 6*r + 35*r**2 - 9*r - 40*r**3 + 15*r**4 + r - 8*r = 0?
0, 2/3, 1
Factor 3*o + 21/5*o**2 + 9/5*o**3 + 3/5.
3*(o + 1)**2*(3*o + 1)/5
Let p be 33/2*40/(-15). Let z be (-52)/p + -2 + 1. Suppose -6/11*x**2 - 2/11*x**3 - 6/11*x - z = 0. What is x?
-1
Let c = 33 + -28. Let h(v) be the first derivative of -4*v + 2*v**c - v**2 + 13/2*v**4 + 3 + 6*v**3. Factor h(n).
2*(n + 1)**3*(5*n - 2)
Let w(l) be the third derivative of 2/3*l**3 + 1/4*l**4 + 2*l**2 + 0 + 1/30*l**5 + 0*l. Factor w(u).
2*(u + 1)*(u + 2)
Factor 6*h**2 - 14 - 8*h - h**4 + 30 - 13.
-(h - 1)**3*(h + 3)
Suppose -13*i**2 + 21*i**4 - 20*i**5 + 8*i**5 + 9*i**5 - 45*i**3 + 40*i**2 = 0. Calculate i.
0, 1, 3
Let x(c) be the third derivative of -c**7/2520 - c**6/360 - c**5/120 - c**4/6 + c**2. Let p(g) be the second derivative of x(g). Solve p(y) = 0 for y.
-1
Let y(k) be the second derivative of 1/1260*k**6 - 3*k + 0 + 0*k**4 - 1/6*k**3 + 0*k**2 - 1/420*k**5. Let w(x) be the second derivative of y(x). Factor w(q).
2*q*(q - 1)/7
Find y, given that -6 + 27/2*y**4 - 99/2*y**3 - 51/2*y**2 + 63/2*y = 0.
-1, 1/3, 4
Suppose 0 = 2*k + k - 3. Let y(v) = 4*v**2 - 1 - k + 2*v**2 - 10*v. Let z(x) = -5*x**2 + 9*x + 2. Let h(b) = 6*y(b) + 7*z(b). Solve h(o) = 0 for o.
-2, -1
Let w(a) be the third derivative of -a**5/120 + 7*a**4/48 + 2*a**3/3 - 16*a**2. Factor w(d).
-(d - 8)*(d + 1)/2
Factor 0 - 3*f**2 + 3*f**4 - 3/2*f**5 + 3/2*f + 0*f**3.
-3*f*(f - 1)**3*(f + 1)/2
Let s(a) be the second derivative of a**9/2016 + a**8/840 + a**7/1680 - 5*a**3/6 - 2*a. Let d(w) be the second derivative of s(w). Factor d(c).
c**3*(c + 1)*(3*c + 1)/2
Let b = 3 + -5. Let g be -8*b/(-10)*-1. Let 10*n**2 - 8*n + g = 0. What is n?
2/5
Let b be 2 + 8 + -9 + 6/(-8). Let c(h) be the second derivative of -1/2*h**2 - b*h**4 + 1/20*h**5 + 1/2*h**3 + 0 - 4*h. Factor c(u).
(u - 1)**3
Let k(r) = -r**3 + 8*r**2 + 8*r + 12. Let y be k(9). Let l = -3 + y. Factor -8/7*j**3 + l*j**2 + 0*j - 2/7*j**5 - 8/7*j**4 + 0.
-2*j**3*(j + 2)**2/7
Let q(g) be the first derivative of g**3/6 + 1. Factor q(p).
p**2/2
Let w(b) be the second derivative of 0 - 1/12*b**4 + 1/30*b**5 + 0*b**3 + 10*b + 1/6*b**2. Let w(k) = 0. Calculate k.
-1/2, 1
Let c(h) be the second derivative of 2/5*h**2 + 1/15*h**3 + 1/25*h**5 + 4*h - 1/6*h**4 + 0. Factor c(k).
2*(k - 2)*(k - 1)*(2*k + 1)/5
Let f be 48/9 + 1 - -3. Let p = f + -190/21. Solve 0 - p*h + 2/7*h**2 = 0 for h.
0, 1
Let w be 4/((-128)/(-60)) - 2/(-16). Factor -3/2 - m - 1/6*m**w.
-(m + 3)**2/6
Suppose 6*w = w. Let l(x) = x - 3. Let z be l(5). Determine v, given that -2/7*v + w + 4/7*v**z - 2/7*v**3 = 0.
0, 1
Let r = -3023/18 - -168. Let l(y) be the first derivative of -1/6*y**4 + 2/9*y**3 + 1 - r*y**6 - 1/5*y**5 + 1/3*y + 1/2*y**2. Let l(b) = 0. Calculate b.
-1, 1
Let q(k) = k**3 - 7*k**2 - 8*k + 4. Let z be q(8). Suppose -3*w + z = -5. Factor p**5 - 2*p**4 + p**5 - w*p**5 + 4*p**4.
-p**4*(p - 2)
Let i be (4/6)/(5/75). Let v(y) = y - 8. Let l be v(i). Find j such that -4/3*j + 0 + 2/3*j**l = 0.
0, 2
Let l(z) be the second derivative of -z**5/100 + 3*z**4/10 - 27*z**3/10 + 68*z. Factor l(q).
-q*(q - 9)**2/5
Let a(h) be the second derivative of -h**6/45 + h**5/5 - 2*h**4/3 + 8*h**3/9 + 10*h. Factor a(j).
-2*j*(j - 2)**3/3
Let t(c) be the first derivative of 2*c**3/9 - c**2/3 - 4*c/3 - 2. Factor t(h).
2*(h - 2)*(h + 1)/3
Suppose -5*u - c + 2*c = -7, -3*u = -2*c. Suppose 8 = -2*v, k = 5*v - 0*v + 23. Factor -9/2*y**u + 0 + y + 7/2*y**k.
y*(y - 1)*(7*y - 2)/2
Let d(j) be the first derivative of -j**5/20 - 5*j**4/16 - 3*j**3/4 - 7*j**2/8 - j/2 - 2. Factor d(r).
-(r + 1)**3*(r + 2)/4
Suppose -6 + 11 = u. Let r(l) be the first derivative of l + 1 - 1/5*l**u - 1/2*l**4 + 0*l**3 + l**2. Factor r(p).
-(p - 1)*(p + 1)**3
Find c, given that 0*c - 1/4*c**4 + 0*c**3 + 1/2*c**2 - 1/4 = 0.
-1, 1
Let y(z) = 13*z**5 + 19*z**4 + 2*z**3 - 18*z**2 - 15*z + 7. Let n(l) = -l**5 - l**4 + l**2 + l - 1. Let j(d) = 24*n(d) + 3*y(d). What is o in j(o) = 0?
-1, -1/5, 1
Let x(p) = 2*p**2 - p - 2. Suppose 2*f + 16 = -4*h, 4*h = 3*f - 20 - 6. Let s be x(f). Factor -d**4 + 2*d**4 + 1 - 2*d**2 + 0*d**s.
(d - 1)**2*(d + 1)**2
Let t(r) be the first derivative of -1/2*r**4 + 5 + 1/2*r**2 + 0*r**3 + 0*r + 0*r**5 + 1/6*r**6. Solve t(y) = 0.
-1, 0, 1
Let o(t) be the first derivative of -t**5/10 - t**4/6 + 3*t - 3. Let x(v) be the first derivative of o(v). Factor x(z).
-2*z**2*(z + 1)
Factor 2*i**3 + 17*i**2 + i**3 - 11*i**2.
3*i**2*(i + 2)
Let r(v) be the third derivative of v**8/336 + v**7/210 - v**6/120 - v**5/60 + v**2. Suppose r(x) = 0. Calculate x.
-1, 0, 1
Let a(l) be the first derivative of -l**5/20 - l**4/12 + 8*l + 5. Let m(k) be the first derivative of a(k). Factor m(r).
-r**2*(r + 1)
Factor 36*i - 32*i**3 - 8*i**2 - 2*i**5 - 16 - 2*i**5 + 0*i**5 + 24*i**4.
-4*(i - 4)*(i - 1)**3*(i + 1)
Suppose -5*k = -0*p + 2*p - 5, 4*p = 4*k - 4. Suppose p = -4*x - 5*v + 33, v + 0 = -x + 8. Factor 2*j**4 + 0*j**3 + 4*j**3 - 18*j**4 + 7*j**5 + x*j**3 - 2*j**2.
j**2*(j - 1)**2*(7*j - 2)
Let z(x) be the second derivative of -x**8/336 + x**6/120 + x**2 - 4*x. Let h(t) be the first derivative of z(t). Let h(k) = 0. Calculate k.
-1, 0, 1
Let b(u) = -u**3 + 3*u**2 + 5*u - 1. Suppose -5*g + 20 = -2*v, 4*g + 5*v - 16 = -0*v. Let k be b(g). Solve -2/5*a**k + 8/5*a**2 - 2*a + 4/5 = 0 for a.
1, 2
Let y be 3/3*(36/15 - 2). Let y + 3/5*t**3 - 1/5*t**2 - 3/5*t - 1/5*t**4 = 0. Calculate t.
-1, 1, 2
Let y = 310 + -617/2. Factor 0 + 1/2*l**2 + y*l.
l*(l + 3)/2
Let o = 23 + -19. Factor w**2 + 0*w**2 - o*w**2 + 12.
-3*(w - 2)*(w + 2)
Let f(s) = -1. Let q(c) = 2*c**2 + 2*c - 6. Let h be (-6)/5 - (-1)/5. Let v(o) = h*q(o) + 6*f(o). Factor v(r).
-2*r*(r + 1)
Suppose -m + 27 = -4*m - 3*n, -2*m - 14 = 3*n. Let z = m - -27/2. Factor -1/2*s**4 + 3/2*s**2 + z*s - 1/2*s**3 - 1.
-(s - 1)**2*(s + 1)*(s + 2)/2
Let h be 1*-1*(3 - 4). Suppose 2*d = 3*y - 0*y - 8, -y - 3*d = h. Factor 6/5*b**y + 8/5 + 24/5*b - 2*b**3.
-2*(b - 2)*(b + 1)*(5*b + 2)/5
Let k(x) be the second derivative of x**4/36 + x**3/9 + x**2/6 - 7*x. Factor k(s).
(s + 1)**2/3
Let x = 53 - 157/3. Let g(k) be the first derivative of 4*k - x*k**3 + k**2 + 3. Factor g(h).
-2*(h - 2)*(h + 1)
Let f(b) be the second derivative of -4*b**6/15 + b**5 - 4*b**4/3 + 2*b**3/3 - 2*b. Factor f(a).
-4*a*(a - 1)**2*(2*a - 1)
Let p be ((-2)/(-7))/(2/14). Solve p*n**3 - n - n**2 - 3*n**3 + 6*n**3 + 0*n**3 - 3*n**4 = 0.
-1/3, 0, 1
Let 0*n**2 - 2/3*n**3 + 2*n - 4/3 = 0. Calculate n.
-2, 1
Let h(b) be the third derivative of -b**7/210 + b**5/20 - b**4/12 - 8*b**2. Solve h(u) = 0 for u.
-2, 0, 1
Let d(j) be the first derivative of 3*j**4/10 - 8*j**3/15 - j**2 + 4*j/5 - 3. Find w, given that d(w) = 0.
-1, 1/3, 2
Let a = 21 - 12. Suppose -6 = 3*c + a, 5*c + 10 = -5*x. Suppose -1/2*j**x - 1/2*j**2 + 0 + 1/2*j + 1/2*j**4 = 0. Calculate j.
-1, 0, 1
Factor -4*r**4 - 12 + 12*r**2 + 15*r**2 - 8*r**3 - 4*r**2 - 7*r**2 + 8*r.
-4*(r - 1)**2*(r + 1)*(r + 3)
Let d be -4 + (-2 - (-3 - -2)). Let p be 6 + d + (-3)/4. Suppose -1/4 + 0*k + 1/2*k**2 + 0*k**3 - p*k**4 = 0. Calculate k.
-1, 1
Let f(l) = 6*l**4 + 16*l**3 + 93*l**2 + 197*l + 149. Let k(g) = g**4 + g**2 + g + 1. Let q(w) = -3*f(w) + 15*k(w). Solve q(r) = 0.
-6, -2
Let p(o) be the first derivative of -o**6/240 + o**5/30 - o**4/12 - 5*o**2/2 + 7. Let l(g) be the second derivative of p(g). Factor l(k).
-k*(k - 2)**2/2
Determine l so that 4*l**5 + 29*l**2 - 2*l**3 + 3*l**2 - 12*l - 22*l**3 = 0.
-3, 0, 1
Let s(v) = -11*v**4 - 23*v**3 - 7*v**2 - 5*v + 5. Let b(w) = 6*w**4 + 12*w**3 + 3*w**2 + 3*w - 3. Let g(h) = -5*b(h) - 3*s(h). Solve g(q) = 0.
-2, -1, 0
Suppose 5*a + 4*j - 25 = 0, -14 + 37 = -2*a + 5*j. Let m(o) be the first derivative of -8*o - 6*o**2 - 2*o**3 + a - 1/4*o**4. Find n such that m(n) = 0.
-2
Let d(i) = -i - 7. Let y be d(5). Let s be 3/y - 22/(-24). Factor 2*b + 4/3 + s*b**2.
2*(b + 1)*(b + 2)/3
Let t(z) be the first derivative of -10/3*z**3 + 3/2*z**4 + 2*z**2 + 0*z - 6 - 1/3*z**6 + 2/5*z**5. Suppose t(v) = 0. What is v?
-2, 0, 1
Let m be (-92)/(-126) - 4/14. Suppose 4*u - 16 = 2*z, 0 = 5*u - z + 16 - 30. Factor 2/9*b**u + 2/9 + m*b.
2*(b + 1)**2/9
Let o be 3 + (-1 - -4) - (-3 - -6). Determine p, given that -1 - 1/4*p**2 + 1/4*p**5 + 1/4*p**4 + 2*p - 5/4*p**o = 0.
-2, 1
Let t = -8/5 - -19/