
2*o*(o - 1)*(o + 1)/11
Find h such that 20/7*h + 16/7 + 4/7*h**2 = 0.
-4, -1
Suppose -h + 3*h - 24 = 0. Let p be 2/3 - (-46)/h. Solve 1/4*r - 2*r**5 + p*r**4 + 0 + 0*r**2 - 11/4*r**3 = 0 for r.
-1/4, 0, 1/2, 1
Factor -12 - 26*p**2 + 4 + 24*p + 8*p**2.
-2*(3*p - 2)**2
Let t(b) = -15 + 8*b + 4*b**2 + 5 - 7. Let h(u) = -6*u**2 - 12*u + 26. Let s(l) = 5*h(l) + 8*t(l). Factor s(d).
2*(d - 1)*(d + 3)
Let c(a) = 3*a + 8. Let o be c(-2). Factor 4/7*b - 2/7*b**4 + 8/7*b**3 - 10/7*b**o + 0.
-2*b*(b - 2)*(b - 1)**2/7
Let l(s) be the second derivative of 0 + 0*s**3 + 0*s**2 + 1/45*s**6 + s + 1/63*s**7 - 1/18*s**4 - 1/30*s**5. Solve l(b) = 0.
-1, 0, 1
Let b = -9 - -14. Let -4*k**b + 2*k**3 + 0*k + 1 - k - 2*k**2 + k**4 + 3*k**5 = 0. Calculate k.
-1, 1
Let b = 324 + -322. Find q such that -27/2 - 3/2*q**b - 9*q = 0.
-3
Let f = 0 + 2. Suppose 3*v + f*n = 16, -3*n + n + 6 = -2*v. Find k, given that 2/5*k - 7/5*k**4 + 0 - 11/5*k**v + 16/5*k**3 = 0.
0, 2/7, 1
Suppose 5*w + 0 = -25. Let l = 8 + w. Suppose l*i**3 - i + 1 + 0*i**2 - i**2 - 5*i**3 + 3*i**3 = 0. What is i?
-1, 1
Let y = 1682 + -8308/5. Let z = y - 20. Factor 0 + 2/5*h**5 + z*h + 8/5*h**4 + 8/5*h**2 + 12/5*h**3.
2*h*(h + 1)**4/5
Let y(p) = -12*p - 34. Let j be y(-3). Solve -j*n - 3 - 1/3*n**2 = 0 for n.
-3
Let t = -31 + 31. Factor 0*g**2 + t*g - 3/2*g**4 + 0 + 3/2*g**3.
-3*g**3*(g - 1)/2
Let q = 7/20 + 31/140. Factor -2/7*n**2 + 0 - q*n + 2/7*n**3.
2*n*(n - 2)*(n + 1)/7
Let o(u) be the second derivative of 0*u**3 + 1/270*u**5 - 2*u - u**2 + 1/54*u**4 + 0. Let b(a) be the first derivative of o(a). Find x, given that b(x) = 0.
-2, 0
Let z be 483/(-162) + (0 - 1 - -4). Let r(g) be the second derivative of 0*g**2 + 0 + 1/27*g**3 + g - z*g**4. Factor r(q).
-2*q*(q - 1)/9
Let k(c) be the first derivative of 2*c**3/3 - c**2 - 4*c - 2. Suppose k(h) = 0. Calculate h.
-1, 2
Let w(f) = -3*f**2 + 2*f - 1. Suppose 2*m - p + 2*p = -23, 3*m + 4*p = -42. Let y(d) = -7*d**2 + 5*d - 3. Let n(l) = m*w(l) + 4*y(l). Solve n(k) = 0.
-1, 1
Let y(g) = g**3 + 14*g**2 + 4. Let r be y(-14). Let t be -1 - (9/3 - 4). Factor 0 + 0*o**3 + 0*o**2 + t*o - 2/9*o**5 + 2/9*o**r.
-2*o**4*(o - 1)/9
Let g be 1*(2 - (2 - 1)). Let a be (1 + 3)*1/2. Determine j, given that a*j - 1 + j**2 - g + 2 = 0.
-2, 0
Solve 2/9*l**2 - 2/3*l + 4/9 = 0 for l.
1, 2
Let l = 84 + -82. Factor -18/5 - 2/5*x**l - 12/5*x.
-2*(x + 3)**2/5
Let z be (6 - 5) + 2/2. Factor 4*w**2 + 0*w**4 + z*w - w**2 - w**4.
-w*(w - 2)*(w + 1)**2
Factor -7 + 4 - 4*g + 6*g**2 + 7*g - 3*g**4 - 6*g**3 + 3*g**5.
3*(g - 1)**3*(g + 1)**2
Let x(v) be the first derivative of -2 + v - 1/12*v**3 - 1/24*v**4 + 1/60*v**6 + 1/40*v**5 + 0*v**2. Let n(a) be the first derivative of x(a). Factor n(m).
m*(m - 1)*(m + 1)**2/2
Let z(o) be the first derivative of -o**4 - 4*o**3/3 + 8. What is a in z(a) = 0?
-1, 0
Let c(n) be the first derivative of -3*n**7/28 + n**6/5 + n**5/20 - n**4/6 - n**3/12 - 7*n + 7. Let f(a) be the first derivative of c(a). Factor f(d).
-d*(d - 1)**2*(3*d + 1)**2/2
Let t be (14/(-20) - -1) + (-2)/(-4). Suppose -t*g**2 + 0 + 8/5*g**3 + 11/5*g**4 + 0*g - 3*g**5 = 0. What is g?
-2/3, 0, 2/5, 1
Suppose 0 = -2*d + 5*d. Factor 2/3 - 2/3*h**2 + d*h.
-2*(h - 1)*(h + 1)/3
Let q(g) = g**3 - g**2 - g - 1. Let f(s) = -3*s**2 - s - 1. Let v(l) = 4*f(l) - 4*q(l). Factor v(o).
-4*o**2*(o + 2)
Factor 94 - 24*w - 3*w**2 - 121 - 18*w - 120.
-3*(w + 7)**2
Let w be (-46)/(-4) + (-4)/(-8). Let y be (w/(-18))/(2/(-9)). Factor -2/7 + 2/7*j**2 - 8/7*j**y + 8/7*j.
-2*(j - 1)*(j + 1)*(4*j - 1)/7
Let n(k) be the third derivative of k**8/168 - k**6/30 + k**4/12 + 6*k**2. What is q in n(q) = 0?
-1, 0, 1
Let p(u) be the third derivative of -u**7/42 + u**5/12 - 2*u**2. Factor p(b).
-5*b**2*(b - 1)*(b + 1)
Let l(z) be the third derivative of z**5/120 + z**4/24 - 29*z**2. What is n in l(n) = 0?
-2, 0
Suppose 0 = 4*h - h. Let s be 3 + 33/(-15) - h. Factor -6/5*u - s - 2/5*u**2.
-2*(u + 1)*(u + 2)/5
Let t(y) = -2*y**2 - 2*y + 1. Let l(s) = -5*s**2 - 4*s + 2. Suppose -3*w = -5*w - 28. Let g(i) = w*t(i) + 6*l(i). Factor g(z).
-2*(z - 1)**2
Let i be ((2 - 4)*-1)/3. Let s(h) be the first derivative of -1/6*h**4 + 0*h + i*h**2 + 4 - 2/9*h**3. Factor s(k).
-2*k*(k - 1)*(k + 2)/3
Let v(y) = -12*y**2 + 40*y - 8. Let r(m) = m**2 + m. Let o(u) = 4*r(u) - v(u). Factor o(d).
4*(d - 2)*(4*d - 1)
Let b(i) = -i**4 + i**3 - i**2 + 1. Let p(t) = -4*t**4 - t**3 - 7*t**2 + 3. Let z(d) = -3*b(d) + p(d). Let z(s) = 0. Calculate s.
-2, 0
Let z(r) be the first derivative of -r**7/420 - r**6/20 - 9*r**5/20 - 9*r**4/4 - 5*r**3/3 - 9. Let q(d) be the third derivative of z(d). Factor q(b).
-2*(b + 3)**3
Let m(a) be the third derivative of a**8/23520 + a**7/2940 + a**6/840 + a**5/420 - 7*a**4/24 + a**2. Let h(z) be the second derivative of m(z). Factor h(t).
2*(t + 1)**3/7
Factor -1/3 + 0*f + 1/3*f**2.
(f - 1)*(f + 1)/3
Suppose 7 = -m - 3*s, 2*m + s - 21 = -3*m. Suppose 3*q - 9 = 0, 0*k + 4*k + m*q - 27 = 0. Factor -2*i**4 + 0*i**4 + 2*i**2 - k*i - 2*i**3 + 5*i.
-2*i*(i - 1)*(i + 1)**2
Let s(c) = -c - 13. Let q be s(-12). Let j = 3 + q. Factor -1/2*h**j - 1 + 3/2*h.
-(h - 2)*(h - 1)/2
Let x = 3 - 9/4. Suppose -x*i**2 + 9/4 - 3/2*i = 0. Calculate i.
-3, 1
Let r(q) = -19*q**3 + 18*q**2 + q + 5. Let u(w) be the second derivative of 9*w**5/20 - 3*w**4/4 - 3*w**2/2 + 6*w. Let s(v) = 3*r(v) + 5*u(v). Factor s(k).
-3*k*(k - 1)*(4*k + 1)
Let w(j) be the first derivative of -j**4/28 + 2*j**3/21 - j**2/14 - 2. Find q such that w(q) = 0.
0, 1
Let b(q) = -5*q**3 - 16*q**2 - 16*q - 4. Let y(p) = 5*p**3 + 15*p**2 + 15*p + 5. Let j(z) = 5*b(z) + 4*y(z). Factor j(u).
-5*u*(u + 2)**2
Let o be (2*3/(-9))/(1/(-6)). Let f be (-1 - -4)*2/3. Find p, given that -4/5 + 2*p - 6/5*p**f + 2/5*p**o - 2/5*p**3 = 0.
-2, 1
Let s(l) be the first derivative of 5/6*l**4 - 7/3*l**3 + 2*l**2 - 4 - 2*l. Let w(o) be the first derivative of s(o). Let w(n) = 0. What is n?
2/5, 1
Let s(l) be the third derivative of 3*l**7/35 + 31*l**6/120 + l**5/10 - 3*l**4/8 - l**3/3 - 19*l**2. Let s(w) = 0. Calculate w.
-1, -2/9, 1/2
Let l(g) = g**3 - 25*g**2 + 25*g - 19. Let p be l(24). Let s(o) be the third derivative of -2*o**2 + 0*o**3 + 1/270*o**p + 0 + 0*o + 0*o**4. Factor s(v).
2*v**2/9
Let h = 31/4 + -9. Let w = h - -33/20. Suppose -w*s**2 + 0 - 2/5*s = 0. What is s?
-1, 0
Find c, given that 3*c + 3*c**3 - 2*c + 12*c**2 - 12 - 2*c - 2*c = 0.
-4, -1, 1
Find a, given that -10/3*a**2 - 2/3*a**4 + 0 - 8/3*a**3 - 4/3*a = 0.
-2, -1, 0
Let l(n) be the first derivative of 2/9*n**3 + n**2 - 5 + 4/3*n. Let l(o) = 0. What is o?
-2, -1
Let g(r) be the first derivative of 2/9*r + 0*r**2 + 4 - 2/27*r**3. Factor g(q).
-2*(q - 1)*(q + 1)/9
Let u(c) be the third derivative of 2/35*c**7 - 2/3*c**3 + 0 + 0*c - 4*c**2 + 1/84*c**8 - 2/15*c**5 + 1/15*c**6 - 1/2*c**4. Factor u(t).
4*(t - 1)*(t + 1)**4
Let d(p) = 108*p**3 + 768*p**2 + 1252*p + 580. Let s(u) = -u**4 + u**3 - u**2 + u + 1. Let b(w) = -d(w) + 4*s(w). What is a in b(a) = 0?
-12, -1
Let b be ((-4)/15)/((-30)/50). Let y(d) = -d**3 - 7*d**2 - 5*d + 8. Let u be y(-6). Determine h so that 2/9 - b*h + 2/9*h**u = 0.
1
Let t(w) = 39*w**4 - 66*w**2 - 27*w. Let a = 4 + -2. Let i(y) = 3*y**4 - 5*y**2 - 2*y. Let u(s) = a*t(s) - 27*i(s). Factor u(j).
-3*j**2*(j - 1)*(j + 1)
Let c(b) be the first derivative of b**4/16 + b**3/6 - b**2/8 - b/2 - 21. Find i, given that c(i) = 0.
-2, -1, 1
Let t(c) = c**2 + 18*c. Let d be t(-18). Let p be (-6)/(-9) + 1/(-3). Factor -p*r**2 + 1/3*r**3 - 1/3*r + 1/3*r**4 + d.
r*(r - 1)*(r + 1)**2/3
Let w(g) = g**3 - g**2 - g. Let i be w(0). Suppose i = -3*k - k + 28. Factor -4*h - 7*h**2 + k*h**4 - 5*h**3 + 3*h**3 + 6*h.
h*(h - 1)*(h + 1)*(7*h - 2)
Factor -9/8 + 3/2*s - 3/8*s**2.
-3*(s - 3)*(s - 1)/8
Let g = 1134 - 10192/9. Determine p so that 10/9*p**3 + 0 + 4/9*p + g*p**2 = 0.
-1, -2/5, 0
Let a(s) be the first derivative of -s**7/140 + 11*s**6/240 - s**5/15 - s**4/12 - s**2 + 2. Let m(d) be the second derivative of a(d). Factor m(r).
-r*(r - 2)**2*(3*r + 1)/2
Suppose 5 = 2*b + 5*p - 0, 50 = -4*b + 2*p. Let h be b/(-28)*96/60. Solve 0 - 2/7*k**2 - h*k = 0.
-2, 0
Let i(f) = 9*f**5 - 28*f**4 + 5*f**3 - 4*f**2 - 6*f + 6. Let h(y) = -y**5 - y**3 - y**2 - y + 1. Let s(a) = -6*h(a) + i(a). Factor s(u).
u**2*(u - 1)**2*(15*u + 2)
Supp