 = 0. Calculate u.
-1, -2/5, 0, 1
Let m = 239 - 237. Factor -1/3*o**2 - 3 - m*o.
-(o + 3)**2/3
Let u(f) be the third derivative of f**8/840 + f**7/105 + f**6/50 - f**5/75 - 7*f**4/60 - f**3/5 - 8*f**2. Factor u(i).
2*(i - 1)*(i + 1)**3*(i + 3)/5
Find o, given that 18*o + 8*o**2 + 2*o**3 + 22 + 4*o**2 - 14 = 0.
-4, -1
Suppose 4/3*y**2 + 0 + 5/3*y = 0. What is y?
-5/4, 0
Let s(q) be the third derivative of -q**8/252 - 2*q**7/315 + q**6/30 + q**5/9 + q**4/9 - 8*q**2. Factor s(o).
-4*o*(o - 2)*(o + 1)**3/3
Let n(t) be the second derivative of t**7/168 + t**6/120 - 3*t**5/80 - t**4/48 + t**3/12 - 8*t. Factor n(s).
s*(s - 1)**2*(s + 1)*(s + 2)/4
Suppose -g = 4*g - 45. Suppose -g - 15*j**2 + 0 - 3*j**3 + 0*j**2 - 2*j - 19*j = 0. What is j?
-3, -1
Let r(y) = -y**2 - 3*y + 3. Let w be r(-3). Let b be w/((-36)/(-39)) + -3. Factor b*x**2 + 1/4 + 1/2*x.
(x + 1)**2/4
Let r(c) be the third derivative of c**7/560 - 7*c**6/160 + 33*c**5/160 + 7*c**4/4 + 4*c**3 + 2*c**2. What is p in r(p) = 0?
-1, 8
Factor 14/9*y**2 + 2 - 2/9*y**3 - 10/3*y.
-2*(y - 3)**2*(y - 1)/9
Let p(z) be the first derivative of 2*z**5/45 + z**4/9 - 8*z**3/27 - 2*z**2/9 + 2*z/3 - 7. Factor p(x).
2*(x - 1)**2*(x + 1)*(x + 3)/9
Suppose 3*t = t. Let f be t/(1/((-1)/2)). Factor 7/3*o**3 - 5/3*o**2 - 2/3*o + f.
o*(o - 1)*(7*o + 2)/3
Suppose -3*p + 2*m = p - 6, 0 = -3*m + 3. Suppose 0*k - 1 = k - c, -3*c + 11 = k. Factor 2/3*x - 2/3*x**4 - p*x**k + 2*x**3 + 0.
-2*x*(x - 1)**3/3
Let w(t) = t**3 + 5*t**2 - t. Let f be w(-5). Let z(k) = -k**2 - k + 1. Let c(l) = -7*l**2 - 7*l + 5. Let x(d) = f*z(d) - c(d). Suppose x(v) = 0. What is v?
-1, 0
Let p(r) be the third derivative of -r**5/12 + 5*r**4/6 - 10*r**3/3 - 23*r**2. Suppose p(n) = 0. Calculate n.
2
Let t be (-14)/(-12) + (-2)/4. Let a(b) be the first derivative of -b**2 - 1 - t*b**3 + 4*b. Factor a(n).
-2*(n - 1)*(n + 2)
Let d = -9 - -12. Factor -d*c + 27*c + 15*c**2 + 12 + c**3 - 3*c**3 + 5*c**3.
3*(c + 1)*(c + 2)**2
Let f(j) be the second derivative of -j**5/25 - j**4/15 + 4*j**3/15 - 3*j - 4. Factor f(y).
-4*y*(y - 1)*(y + 2)/5
Let u(s) = -3*s**4 - 3*s**3 + 21*s**2 + 27*s - 6. Suppose 0 = -5*f - 10 + 15. Let d(j) = j**2 + j - 1. Let a(z) = f*u(z) - 12*d(z). Find m such that a(m) = 0.
-1, 2
Factor -18*h**3 + 8*h + 6*h**3 + 4 - 4*h**4 + 4*h**3.
-4*(h - 1)*(h + 1)**3
Let y(c) be the first derivative of 2/3*c**3 + 2 + c - 3/5*c**5 + 1/2*c**4 - 3/2*c**2 + 1/6*c**6. Factor y(x).
(x - 1)**4*(x + 1)
Let j(d) = 2*d**2 - 9*d + 10. Let y(r) = -r**2 + 4*r - 4. Let h(k) = -4*j(k) - 10*y(k). What is b in h(b) = 0?
0, 2
Factor 2/5*u**3 + 0*u**2 - 2/5*u**5 + 0*u**4 + 0 + 0*u.
-2*u**3*(u - 1)*(u + 1)/5
Let i = 954/7 + -136. Let l be (3/(-2))/(21/(-12)). Suppose 4/7*y**2 - l*y**3 + i*y + 0 = 0. Calculate y.
-1/3, 0, 1
Determine c, given that 6/5*c**3 + 0 - 36/5*c**4 + 0*c + 6/5*c**2 = 0.
-1/3, 0, 1/2
Let o(y) = -y**2 + 8*y - 9. Let l be o(6). Factor 3*t**3 + 2*t**3 - t - 4*t**l.
t*(t - 1)*(t + 1)
Suppose p + 1/2*p**2 - 1/2*p**3 + 0 = 0. Calculate p.
-1, 0, 2
Let h(i) be the third derivative of 5*i**9/6048 - i**8/2016 - 2*i**7/315 - i**6/90 - i**5/60 - 5*i**2. Let u(g) be the third derivative of h(g). Factor u(a).
2*(a - 1)*(5*a + 2)**2
Find w, given that 3/4*w**3 + 0 + 3/4*w**2 - 9/2*w = 0.
-3, 0, 2
Suppose -20 = -2*q + 5*c, -3*q - c + 16 = -5*c. Determine b so that 2/3*b**2 + q*b - 2/3 = 0.
-1, 1
Let y be ((-2)/10)/(15/(-50)). Let v be 1 + 0 + (-2 - -3). Factor -4/3*x + 2/3 + y*x**v.
2*(x - 1)**2/3
Let c(p) be the second derivative of p**7/189 - p**6/135 - p**5/90 + p**4/54 - 12*p. Factor c(b).
2*b**2*(b - 1)**2*(b + 1)/9
Let p be 6/(-2)*34/(-6). Let s be p/5 + 1 + -4. Let -s*h**3 + 2/5*h - 2/5 + 2/5*h**2 = 0. What is h?
-1, 1
Let g(i) be the second derivative of i**7/357 + 7*i**6/255 + 19*i**5/170 + 25*i**4/102 + 16*i**3/51 + 4*i**2/17 - 17*i. Let g(p) = 0. Calculate p.
-2, -1
Let q(c) be the second derivative of c**4/60 + 13*c**3/30 - 24*c - 2. Find t, given that q(t) = 0.
-13, 0
Let s = 24727/840 - 206/7. Let m(u) be the third derivative of 0 + 1/240*u**6 + 0*u - 1/12*u**3 + s*u**5 + 2*u**2 - 1/48*u**4. Suppose m(z) = 0. Calculate z.
-1, 1
Let p = 55 - 38. Let f = -12 + p. Factor d**2 - 4*d**3 + d**4 + d**f - 2*d**2 + 3*d**3.
d**2*(d - 1)*(d + 1)**2
Factor -12/5*w**2 - 32/5 + 56/5*w.
-4*(w - 4)*(3*w - 2)/5
Suppose -20 = -5*q + 5. Factor -n**3 - 5*n**3 + 7*n + 0*n**3 + 12 + 3*n**4 + q*n - 9*n**2.
3*(n - 2)**2*(n + 1)**2
Factor -18/5*p - 1/5*p**2 - 81/5.
-(p + 9)**2/5
Let q(f) be the second derivative of f**6/360 - f**5/60 + f**4/36 - f**2 + 2*f. Let y(m) be the first derivative of q(m). Suppose y(h) = 0. What is h?
0, 1, 2
Let t(l) = -l**2 + 6*l - 3. Let i be t(5). Suppose -3*k + 30 = 5*b - 2*k, 5*k - 18 = -3*b. Solve b - 6 + 2*o**2 + 0*o**i = 0.
0
Let a(l) = -40*l**4 - 36*l**3 - 8*l**2 + 3*l. Let u(j) = 12*j**3 - j + 3*j**2 + 10*j**4 + 0*j**4 + 3*j**4. Let h(z) = -3*a(z) - 8*u(z). Factor h(o).
o*(2*o + 1)**2*(4*o - 1)
Let n(l) be the third derivative of l**8/7560 - l**6/810 + l**4/108 + 5*l**3/3 - 7*l**2. Let f(v) be the first derivative of n(v). Solve f(z) = 0 for z.
-1, 1
Solve -3*r**4 - 12*r**3 + 12*r + 24 - 6*r**2 - 12*r**2 - 9*r**3 + 6*r**3 = 0 for r.
-2, 1
Let n(p) = 4*p + 1. Suppose 4*f - 1 + 5 = 0. Let r(g) = -g**2 + g - 1. Let i(h) = f*r(h) + n(h). Factor i(m).
(m + 1)*(m + 2)
Let c(k) be the third derivative of 0 + 6*k**2 - 1/36*k**4 - 2/27*k**3 - 1/270*k**5 + 0*k. Factor c(f).
-2*(f + 1)*(f + 2)/9
Let x(i) be the second derivative of -3*i**5/10 + i**4/6 + 8*i**3/3 + 4*i**2 - 7*i. Suppose x(c) = 0. What is c?
-1, -2/3, 2
Let n(r) = -r**3 - 19*r**2 - 35*r - 17. Let o(s) = -9*s**2 - 18*s - 9. Let d(i) = 3*n(i) - 5*o(i). Factor d(f).
-3*(f + 1)**2*(f + 2)
Let j(l) = -l**2 - 9*l - 3. Let a be j(-7). Factor 4 - 2*f**4 + 6*f**2 - f + 2*f**3 + 2*f - a*f.
-2*(f - 1)**3*(f + 2)
Let q be 1*1/3*-3. Let g = 1 - q. Factor g*s - 1 - 8*s + 2*s**2 + 6 - 1.
2*(s - 2)*(s - 1)
Let r(z) = z**3 - 15*z**2 - 16*z - 3. Let b be r(16). Let g be 4/b*(-9)/24. Factor g*h**4 + 1/4*h**5 + 0*h**3 - 1/2*h**2 - 1/4*h + 0.
h*(h - 1)*(h + 1)**3/4
Suppose -d - 5*g - 17 = 0, d + 13 = -2*g - 2*g. Solve 55*z - z**d - 55*z = 0 for z.
0
Let b(w) = w**2 - 9*w + 12. Let s be b(8). Determine n, given that 3*n**s - 2*n**3 + 3*n**3 - 3*n**3 + n**3 = 0.
0, 1/3
Let k be -2 + 3 + (-3)/6. Let s(u) be the second derivative of k*u**4 - 1/3*u**3 - 2*u**2 + 0 - u. Solve s(m) = 0.
-2/3, 1
Let n be (0 - 1) + 3*1. Suppose v + n = 4. Let 2*q**3 - 2*q**v - q + 0*q**2 + q = 0. What is q?
0, 1
Let j(d) be the second derivative of d**8/336 + d**7/210 - d**6/60 - 3*d**2/2 - 2*d. Let k(t) be the first derivative of j(t). Factor k(l).
l**3*(l - 1)*(l + 2)
Let i(z) = -z + 1. Let r be i(-2). Let d(k) be the second derivative of 1/8*k**2 + 1/80*k**5 + 2*k - 1/48*k**4 - 1/24*k**r + 0. Factor d(b).
(b - 1)**2*(b + 1)/4
Let p(y) be the third derivative of y**8/60480 + y**7/3780 + y**6/720 - y**5/20 + 4*y**2. Let t(q) be the third derivative of p(q). Factor t(h).
(h + 1)*(h + 3)/3
Let y be 2/5 - (-21)/(-140). Suppose 3/4*h**2 + 3/4*h + 1/4*h**3 + y = 0. Calculate h.
-1
Let w(a) be the first derivative of 0*a - 4 + 2/33*a**3 + 1/11*a**2. Solve w(p) = 0 for p.
-1, 0
Let h(b) be the second derivative of 0*b**3 + 0*b**2 - 7/10*b**6 + 0*b**4 + 0 + 3/10*b**5 - 3*b. Factor h(k).
-3*k**3*(7*k - 2)
Suppose -4*f + 12 = -0*f. Suppose -4*x = -f - 5. Factor 2*t - 1 - t**4 + x*t + 4*t**3 + 0 - 6*t**2.
-(t - 1)**4
Let c(o) = 5*o**2 + o + 5. Let b(t) = -4*t**2 - 2*t - 4. Let z(w) = 3*b(w) + 2*c(w). Solve z(v) = 0.
-1
Let a(h) = 10*h**3 + 14*h**2 + 12*h. Let x(r) = r. Suppose u = l - 2, 6 = l - 5*u + 4. Suppose l*f - 24 = -f. Let k(b) = f*x(b) - a(b). Factor k(d).
-2*d*(d + 1)*(5*d + 2)
Let z be (2/(-3))/(-1)*1. Suppose 0 + 1/3*m - z*m**2 + 1/3*m**3 = 0. What is m?
0, 1
Let r = 425 - 2969/7. Let p = -1699/7 - -243. Factor 0*i - 8/7 - p*i**3 + r*i**2.
-2*(i - 2)**2*(i + 1)/7
Let j(a) = 2*a**4 - 2*a**3 - 24*a**2 + 2*a. Let z(q) = q**2. Let l(y) = -2*j(y) - 44*z(y). Find x, given that l(x) = 0.
-1, 0, 1
Let i(g) be the first derivative of 2*g**3/3 - 7*g**2/5 + 4*g/5 + 8. Determine b so that i(b) = 0.
2/5, 1
Factor 10*m**2 + 32*m - 2 + 4*m**3 - 14*m**2 - 16*m**2 - 14.
4*(m - 2)**2*(m - 1)
Let k(m) be the third derivative of 1/120*m**