*2*(m + 2)/4
Let y(m) = m**2 + 26*m + 120. Let r be y(-6). Factor -1/3*c + 1/3*c**2 + r.
c*(c - 1)/3
Let h be (18/15)/(176/(-60)). Let q = h + 21/11. Factor 7/2*r**3 - 3/2*r - 1 + 3/2*r**4 + q*r**2.
(r + 1)**3*(3*r - 2)/2
Let k(g) be the third derivative of 1/48*g**4 - 1/840*g**7 - 1/48*g**5 + 1/120*g**6 - 6*g**2 + 0 + 0*g + 0*g**3. Determine u so that k(u) = 0.
0, 1, 2
Let b be ((-2)/3)/(8/(-36)). Let -1 + 4 - 3 + w - w**b = 0. Calculate w.
-1, 0, 1
Let b(d) = 5*d**2 + 105*d + 690. Let l(s) = -s - 2. Let f(n) = -b(n) + 15*l(n). Suppose f(a) = 0. What is a?
-12
Factor -55*i**2 - 80*i**3 + 5*i**4 - 6*i - 40*i**4 - 4*i.
-5*i*(i + 1)**2*(7*i + 2)
Let t be (3 - 0)/((-19)/((-418)/33)). Solve -1/4 + 1/4*m**t - 1/4*m**3 + 1/4*m = 0 for m.
-1, 1
Let k be (5 - 5) + 1 + 0. Suppose t - 5*u - 5 = -0*u, u = -2*t - k. Factor -1/3*s**3 + t - 1/3*s**2 + 0*s.
-s**2*(s + 1)/3
Let t(n) be the third derivative of -n**7/70 + n**6/5 - 3*n**5/4 - n**4 + 8*n**3 - 4*n**2. Factor t(s).
-3*(s - 4)**2*(s - 1)*(s + 1)
Suppose 3*y**4 + 1 + 7*y**3 - 13*y**3 - 4 + 6*y = 0. What is y?
-1, 1
Let l(v) be the first derivative of v**6/9 + 2*v**5/15 - v**4/6 - 2*v**3/9 + 2. Let l(z) = 0. What is z?
-1, 0, 1
Let a = 44 + -42. Factor -2/3 + 4/3*c - 2/3*c**a.
-2*(c - 1)**2/3
Suppose c + 9 = 2*x, 0 = -0*x + 3*x + 5*c + 6. Find a such that 8*a**3 + 7*a**x - 18*a**3 - 3*a**2 - a**4 - a = 0.
-1, 0
Suppose 0 = 6*r + 95 + 1. Let j(o) = -o**3 - 16*o**2 - o - 12. Let u be j(r). What is p in -1/5*p**u - 3/5*p**3 - 2/5*p**2 + 0*p + 0 = 0?
-2, -1, 0
Let o(q) = -q**2 + q + 1. Suppose -h + 1 = 3. Let s be (h - -11)*(-8)/6. Let g(r) = 10*r**2 - 14*r - 12. Let j(i) = s*o(i) - g(i). What is y in j(y) = 0?
-1, 0
Let g = 567/5 - 113. Determine z, given that 0*z - 6/5*z**3 + g*z**2 + 0 = 0.
0, 1/3
Let t(q) be the first derivative of -2*q**3/21 + 3. Factor t(f).
-2*f**2/7
Suppose 6*m - 5*d = 2*m + 19, -2*d = -5*m + 28. Suppose l - m = -l. Factor 3*f**3 - 4*f**l + f**3 - 2*f**2 - 2*f**3.
-2*f**2*(f + 1)
Let i(h) be the second derivative of h**6/30 - 3*h**5/20 + h**4/4 - h**3/6 - 8*h. Factor i(q).
q*(q - 1)**3
Let s(d) = -15*d**2 + 40*d - 35. Let p(l) = 22*l**2 - 60*l + 53. Let c(u) = -5*p(u) - 7*s(u). Factor c(h).
-5*(h - 2)**2
Let q be -3 + (-2505)/(-27) + 0. Let w = 90 - q. Find a, given that 2/9*a**2 + 0 - 2/9*a**3 - 2/9*a**4 + w*a = 0.
-1, 0, 1
Suppose 8*z - 6*z + 3*z**2 - 8*z = 0. What is z?
0, 2
Suppose 4*r - 4 = 4. Suppose 4*m = 2*f + 42, -2*m + 20 - r = 2*f. Suppose -4*l + 3*l**2 + l**2 + m*l**2 = 0. What is l?
0, 2/7
Let d(q) be the second derivative of -q**6/80 + q**5/40 + 5*q**4/96 - q**3/24 + 14*q + 4. Factor d(c).
-c*(c - 2)*(c + 1)*(3*c - 1)/8
Let d(q) = -q**3 - 6*q**2 + 15*q - 6. Let t be d(-8). Let -1/2*n + 5/4*n**4 - 7/4*n**5 + 0 + 9/4*n**3 - 5/4*n**t = 0. Calculate n.
-1, -2/7, 0, 1
Let s(l) = -2*l**2 - 2*l - 13. Let o(d) = d - 6 - 2*d - 4*d**2 + 3*d**2. Let x(v) = -13*o(v) + 6*s(v). Find q such that x(q) = 0.
-1, 0
Suppose -3*b = 2*b + 15. Let m be 1 + (b + 2)/(-1). Solve 4*v**2 - 4*v**m - v**4 + v**2 = 0.
-1, 0, 1
Let i(q) be the first derivative of q**6/2 + 21*q**5/5 + 57*q**4/4 + 25*q**3 + 24*q**2 + 12*q + 8. Factor i(v).
3*(v + 1)**3*(v + 2)**2
Let p = -2 + 14. Find a, given that 10*a**3 - 8*a**2 + 21*a**2 - 9*a**2 + 2*a**5 - 4*a**4 + p*a**4 = 0.
-2, -1, 0
Factor 28/5*b - 2/5*b**2 - 98/5.
-2*(b - 7)**2/5
Let i(w) = w**2 + 2*w + 3. Let l be i(-2). Suppose 4*t + 4 + 18 = 3*k, 14 = -k - 4*t. Determine s so that 0*s + 2/5*s**k + 0 + 0*s**l - 2/5*s**4 = 0.
-1, 0, 1
Let j = -16 - -19. Let p(x) be the first derivative of -4/3*x - j - 8/9*x**3 + 5/3*x**2 + 1/6*x**4. Factor p(c).
2*(c - 2)*(c - 1)**2/3
Let x(j) be the second derivative of 2*j**6/75 - 7*j**5/25 + j**4 - 6*j**3/5 - 25*j. Factor x(l).
4*l*(l - 3)**2*(l - 1)/5
Let d(k) = -10*k**2 + 20*k - 10. Let h(n) = 2*n**2 - 4*n + 2. Let y = 2 + -5. Let m(q) = y*d(q) - 14*h(q). Factor m(o).
2*(o - 1)**2
Let y = 203 + -2231/11. Let -y*o**2 + 0 - 4/11*o = 0. What is o?
-2, 0
Let l(u) be the second derivative of u**7/42 + 11*u**6/180 + u**5/40 - u**4/24 - u**3/36 - 7*u. Determine w so that l(w) = 0.
-1, -1/3, 0, 1/2
Suppose 0*i + 3*i - q = -1, q = -4*i + 1. Let r be (-1)/(-3)*(2 + 0). Factor -r*z**4 + 1/3*z**5 + i*z**3 - 1/3*z + 0 + 2/3*z**2.
z*(z - 1)**3*(z + 1)/3
Let j(a) be the third derivative of -a**6/30 - 2*a**5/45 + a**4/18 - 6*a**2. Factor j(w).
-4*w*(w + 1)*(3*w - 1)/3
Let u(w) be the first derivative of w**4/16 + 7*w**3/12 + w**2 - 4*w + 31. Let u(q) = 0. Calculate q.
-4, 1
Let b(j) be the third derivative of 10*j**7/21 - 19*j**6/6 + 38*j**5/5 - 26*j**4/3 + 16*j**3/3 + 5*j**2. Determine h so that b(h) = 0.
2/5, 1, 2
Let x be (2 - -1)*20/(-6). Let l be x/(-2 + (2 - 1)). What is q in -l*q**2 + q + 0*q - 5*q + 14*q**3 = 0?
-2/7, 0, 1
Suppose 0 = -10*w + 5*w + 10. Let v(f) be the first derivative of 0*f + 0*f**3 + 1/10*f**2 + w - 1/20*f**4. Factor v(c).
-c*(c - 1)*(c + 1)/5
Let j(z) be the third derivative of -z**5/120 + z**4/48 + z**3/2 - 25*z**2. Let j(q) = 0. Calculate q.
-2, 3
Determine p so that 1/3*p**3 + 1/3 - 1/3*p**2 - 1/3*p = 0.
-1, 1
Let y(t) = t**2 + 3*t - 1. Let m be y(-4). Let a be 2/(-9) - (-58)/18. Find q, given that q**a - q**3 - q + q**m = 0.
-1, 0, 1
Let d(r) be the third derivative of r**6/300 - r**5/150 - 6*r**2. Find k, given that d(k) = 0.
0, 1
Let s(q) = q**3 - 22*q**2 + 23*q - 40. Let k be s(21). Find g such that -7/2*g + 5*g**3 + 1 + 1/2*g**k = 0.
-1, 2/5, 1/2
Let l(d) = -d**3 - 9*d**2 + 8. Let w = 1 - 10. Let i be l(w). Find b such that 4*b**2 + 15*b**3 + i*b**2 - 12*b - 41*b**4 + 32*b**4 = 0.
-1, 0, 2/3, 2
Let o(m) = -m**3 + 6*m**2 + 4. Let p be o(6). Let w(b) be the first derivative of 1/2*b**2 - 3/8*b**p + 0*b + 1/6*b**3 + 2. Determine y, given that w(y) = 0.
-2/3, 0, 1
Let u(l) be the third derivative of l**5/240 - l**4/12 + 2*l**3/3 - 5*l**2. Factor u(z).
(z - 4)**2/4
Suppose 0 = -4*b + 3*z, -4*b - 2*z = -2*b - 14. Let o(y) be the first derivative of -4*y + 1 + 2*y**2 - 1/3*y**b. What is q in o(q) = 0?
2
Suppose 751*r = 752*r - 2. Factor -2/3*c**3 + r*c**2 + 0 - 4/3*c.
-2*c*(c - 2)*(c - 1)/3
Suppose -7*m + 4*m = -9. Factor 18*n**3 + 4*n**2 - m*n**3 + 9*n**4 + 5*n**3.
n**2*(n + 2)*(9*n + 2)
Let l(n) be the second derivative of -7*n**4/72 - 4*n**3/9 - n**2/3 + 12*n. Factor l(j).
-(j + 2)*(7*j + 2)/6
Let g = 11 - 12. Let a be g + 5 + (1 - 3). Factor 2/9*m**a + 2/9 - 4/9*m.
2*(m - 1)**2/9
Let l(j) be the third derivative of j**5/330 - j**3/33 - 24*j**2. Suppose l(z) = 0. Calculate z.
-1, 1
Let n = -1 + 4. Factor -5*o + 0*o**3 + 5*o - o**n.
-o**3
Suppose -2*l + 9 = l. Let o = 81/2 + -725/18. Factor -2/9*x**l + 2/9*x - o + 2/9*x**2.
-2*(x - 1)**2*(x + 1)/9
Let h(x) = 4*x**3 + x**2 + 3*x. Let m(a) = 4*a**3 + 2*a**2 + 2*a. Let y be (-3 + 0)*(-2)/(-3). Let u(n) = y*h(n) + 3*m(n). Determine o so that u(o) = 0.
-1, 0
Let j = 6/287 + 269/861. Find k such that j*k**2 + 2/3 - k = 0.
1, 2
Let d(u) be the third derivative of -u**6/90 + u**4/6 + 4*u**3/3 + 8*u**2. Let o(q) be the first derivative of d(q). Find l such that o(l) = 0.
-1, 1
Solve -1471*o**3 - 36 - 20*o**5 - 384*o - 61*o**5 - 603*o**4 - 1648*o**2 + 351*o**2 = 0 for o.
-3, -1, -2/9
Let 6*r**2 + 0 + 21/2*r**5 + 0*r + 69/2*r**4 + 30*r**3 = 0. What is r?
-2, -1, -2/7, 0
Let j(g) be the second derivative of 1/30*g**5 + 1/6*g**4 + 1/3*g**3 - 4*g + 0 + 1/3*g**2. Solve j(w) = 0 for w.
-1
Let g(j) be the third derivative of 0*j + 0*j**4 + 1/60*j**5 - 4*j**2 - 1/40*j**6 + 0*j**3 + 0 + 1/70*j**7 - 1/336*j**8. Solve g(i) = 0 for i.
0, 1
Let c(q) = -3*q**2 + 4*q + 3. Let a(t) be the first derivative of -t**3 + 5*t**2/2 + 3*t + 4. Let u(z) = 4*a(z) - 5*c(z). Suppose u(v) = 0. What is v?
-1, 1
Let y(p) = -18*p**2 + 12*p + 3. Let q be (2 + (-24)/9)*-3. Let n be q/(2 - 24/10). Let f(w) = 27*w**2 - 18*w - 4. Let o(r) = n*f(r) - 7*y(r). Factor o(u).
-(3*u - 1)**2
Let l be (-4)/(-3)*(-18)/(-4). Let o be 12/(-9)*l/(-4). Factor -o - 2*n + 2*n + n**2 + n.
(n - 1)*(n + 2)
Let w(n) = -n**2 - 3*n. Let b(c) = c**2 + 5*c. Let a(m) = -5*b(m) - 8*w(m). Factor a(f).
f*(3*f - 1)
Factor -2 - 3/2*z + 1/2*z**2.
(z - 4)*(z + 1)/2
Factor -20/9*m + 2*m**2 + 7/9 - 4/9*m**3 - 1/9*m**4.
-(m - 1)**3*(m + 7)/9
Let r = -1 - -4. Let z(w) be the first derivative of 3/8*w**2 + 1/2*w - 2 + 1/12*w**r. S