 5*l**2 + 63 + 308*l + 177*l.
-5*(l - 11)*(l - 7)
Let -2/7*o**3 + 64/7 + 20/7*o**2 - 64/7*o = 0. Calculate o.
2, 4
Let g(w) be the third derivative of -w**5/120 - 4*w**4/3 - 256*w**3/3 + 13*w**2. Factor g(m).
-(m + 32)**2/2
Let c be (-88)/30 - 4/12*-9. Let h(q) be the second derivative of c*q**3 - 3*q + 0 - 1/30*q**4 + 0*q**2. Let h(l) = 0. Calculate l.
0, 1
Let h(x) be the second derivative of -2/3*x**3 + 1/6*x**4 - 21*x + 0 - 3*x**2. Factor h(t).
2*(t - 3)*(t + 1)
Let j be 5 + (0 + 1 - 2). Suppose h - 3*h - 3*y = 15, 5*h + j*y = -20. Find s such that 4 + s**2 - 33*s + h + 37*s = 0.
-2
Let t(u) be the second derivative of 0*u**2 + 0 + 1/36*u**4 - 1/9*u**3 + 18*u. Factor t(r).
r*(r - 2)/3
Factor -164/3*c - 1/3*c**2 - 6724/3.
-(c + 82)**2/3
Factor -2369*f + 2249*f - 2*f**2 + 3600 + 3*f**2.
(f - 60)**2
Let b(d) be the third derivative of -d**7/2940 + d**6/630 + d**5/140 + 19*d**3/6 + 43*d**2. Let u(q) be the first derivative of b(q). Factor u(i).
-2*i*(i - 3)*(i + 1)/7
Let l = 4834 + -19333/4. Factor l*d**3 + 2*d + 1 - 11/4*d**2.
(d - 2)**2*(3*d + 1)/4
Let k(r) be the first derivative of -r**6/90 - 11*r**3/3 + 4. Let f(l) be the third derivative of k(l). Factor f(z).
-4*z**2
Suppose -405 = -30*d + 3*d. Let s be -1 - 132/(-20) - 9/d. Suppose 1/5*b**4 + 0*b - 3/10*b**s + 3/10*b**3 + 0 - 1/5*b**2 = 0. Calculate b.
-1, 0, 2/3, 1
Let x be 4/(-22) + (-4 - (10 + (-312)/22)). Let 1/3*t**5 + 4/3*t + 0*t**4 + 0 + x*t**2 - 5/3*t**3 = 0. Calculate t.
-2, -1, 0, 1, 2
Let v(z) = z**2 - 9*z - 7. Let d be v(10). Suppose 12 = d*f - 0. Solve -48*t - 48 + 6*t**4 + 0*t**4 - 5*t**f + 2*t**4 + 12*t**3 = 0 for t.
-2, 2
Let s(v) be the first derivative of -3*v**4/4 - 5*v**3 + 9*v**2 + 147. Let s(g) = 0. What is g?
-6, 0, 1
Suppose d - 10 - 5 = -5*m, 4*d + 28 = 2*m. Suppose b = -m*b. Determine t, given that -8*t + b - 6*t**2 - 4 + 2 + 0 = 0.
-1, -1/3
Let k be 1084/144 - (-205)/164 - (6 + 1). Factor -k*d**2 - 26/9*d - 4/3 - 2/9*d**3.
-2*(d + 1)**2*(d + 6)/9
Let g(p) be the third derivative of -15*p**2 + 0*p + 2/3*p**3 - 1/120*p**6 + 0 + 1/30*p**5 + 7/24*p**4. Factor g(x).
-(x - 4)*(x + 1)**2
Suppose 2*g = 3*z - 7*z + 22, 0 = g + 5*z - 20. Let t(r) be the second derivative of 1/5*r**g + r + 0 - 8/3*r**3 - 2/3*r**4 + 16*r**2. Solve t(k) = 0.
-2, 2
Let a be ((-14)/(-6) + -2)*(-336)/(-256). Let h(n) be the first derivative of 5/24*n**3 + a*n**2 + 4 + 1/32*n**4 + 3/8*n. Factor h(x).
(x + 1)**2*(x + 3)/8
Let f(u) be the third derivative of -1/24*u**3 + 0*u + 1/48*u**4 + 0 - 2*u**2 - 1/240*u**5. Factor f(r).
-(r - 1)**2/4
Suppose 6*f**3 - 27*f - 6*f**3 + 9*f**5 + 3*f**3 + 15*f**3 - 15 + 66*f**2 - 51*f**4 = 0. Calculate f.
-1, -1/3, 1, 5
Let p be (664/(-249))/(32/(-18)). Suppose -3/2*c**2 + 15/2*c**4 - 21/2*c**3 - p*c**5 + 12*c - 6 = 0. Calculate c.
-1, 1, 2
Let k(q) be the third derivative of -q**6/320 + 7*q**5/160 - q**4/16 - 3*q**3/4 + 715*q**2. Factor k(w).
-3*(w - 6)*(w - 2)*(w + 1)/8
Let i(t) = t**2 + 2*t + 13. Let q be i(-5). Solve 17 + 10*s**3 + 15 + 2*s**4 + 13*s**2 - q + 5*s**2 + 14*s = 0 for s.
-2, -1
Suppose -2*c - 3*c = -3*k - 12, -3*k = 2*c - 9. Let n be 1*5*(k - (-6)/(-10)). Factor 7/2*i**3 - 4 + 13*i**n + 10*i.
(i + 2)**2*(7*i - 2)/2
Let f(q) = -3*q**3 - 6*q**2 + 5*q + 6. Let i be f(-3). Let l be -6*(-2)/i - (-1)/(-6). Factor -l + 1/4*s**2 + 3/4*s**3 + 1/4*s**4 - 3/4*s.
(s - 1)*(s + 1)**2*(s + 2)/4
Factor 2/9*r**2 + 20/9 + 14/9*r.
2*(r + 2)*(r + 5)/9
Let s = 0 + -1. Let g(m) = -18*m**2 + 17*m**2 - 15*m**3 + 14*m**3. Let b(j) = -j**4 - 8*j**3 - 7*j**2. Let i(n) = s*b(n) + 6*g(n). Factor i(r).
r**2*(r + 1)**2
Let n(x) be the first derivative of -x**6/9 - x**5/5 + x**4/6 + 4*x**3/9 + 41*x + 10. Let v(l) be the first derivative of n(l). Suppose v(y) = 0. What is y?
-1, 0, 4/5
Let c(s) = s**3 + 4*s**2 - 14*s - 12. Let j be c(-6). Let 3*i**4 - 2*i**5 - 3*i**2 + j*i + 0*i + 3*i**3 - i**5 = 0. Calculate i.
-1, 0, 1
Let a(y) be the first derivative of -y**6/10 + y**4/2 - 3*y**2/2 - 17*y - 11. Let t(r) be the first derivative of a(r). Factor t(w).
-3*(w - 1)**2*(w + 1)**2
Suppose g + 4*d + 6 = 1, -2 = d. Factor -16 - 5*b - 7*b + 4*b**g + 8.
4*(b - 2)*(b + 1)**2
Let p(k) be the second derivative of k**7/735 - k**5/70 - k**4/42 + 7*k**2 + 23*k. Let h(s) be the first derivative of p(s). Factor h(j).
2*j*(j - 2)*(j + 1)**2/7
Let -128/15 + 2/15*w**5 + 104/15*w**2 - 12/5*w**4 - 8*w + 58/15*w**3 = 0. Calculate w.
-1, 2, 16
Let p(r) be the first derivative of 8/15*r**3 + 6/5*r - 13/5*r**2 + 12. What is d in p(d) = 0?
1/4, 3
Let x(f) be the second derivative of f**6/300 - f**5/50 + f**4/20 - f**3/15 + 2*f**2 + 4*f. Let p(s) be the first derivative of x(s). Find n such that p(n) = 0.
1
Suppose -7*q = -3*q - 16. Suppose -q*m - 2*m = 0. Let m + 0*u**2 + 2/11*u**3 - 2/11*u = 0. What is u?
-1, 0, 1
Suppose -11*x + 192 = 148. Let g(j) be the second derivative of 1/12*j**3 + 0 - 3/8*j**2 - 6*j + 1/48*j**x. Factor g(s).
(s - 1)*(s + 3)/4
Determine i, given that 1354*i**2 + 603*i**3 + 325 + 48*i - 424*i**2 + 244*i + 108*i**3 - 333 = 0.
-2/3, 2/79
Let y(t) = -t**5 - t**3 - t**2 - 2. Let v(q) = 3*q**5 + 14*q**4 - 31*q**3 + 26*q**2 + 8. Let s(o) = v(o) + 4*y(o). Find j such that s(j) = 0.
0, 1, 2, 11
Suppose 2*h = -4*f + 22, -7*h + 4*h + 6 = -3*f. Let -7*c - 40*c**2 - 8*c**f - 4 - 2*c - 17*c - 10*c**3 = 0. What is c?
-1, -2/9
Let o(q) be the second derivative of 0 + 1/32*q**4 - 1/16*q**3 + 0*q**2 + 4*q. Factor o(w).
3*w*(w - 1)/8
Let k(i) be the first derivative of 3*i**3 + 7*i**2/2 + 5*i - 18. Let q(a) = 4*a**2 + 4*a + 2. Let f(d) = -4*k(d) + 10*q(d). Suppose f(t) = 0. What is t?
-3, 0
Let z(f) = 3*f**2 + 13*f + 10. Suppose 4*s + s = -30. Let b(g) = 3*g**2 + 12*g + 9. Let n(v) = s*z(v) + 5*b(v). Factor n(l).
-3*(l + 1)*(l + 5)
Let q(r) be the first derivative of 3*r**4/8 - 9*r**3/2 + 45*r**2/4 + 75*r/2 - 95. Factor q(h).
3*(h - 5)**2*(h + 1)/2
Let h(v) = -v**3 + v**2 - v. Let m(r) = -5*r**3 + 13*r**2 - 55*r + 56. Let n(u) = -14*h(u) + 2*m(u). Factor n(a).
4*(a - 2)**2*(a + 7)
Factor 603057/4*y + 311469/4 - 9519/2*y**3 + 136065/2*y**2 + 417/4*y**4 - 3/4*y**5.
-3*(y - 47)**3*(y + 1)**2/4
Suppose -4*a = -4*d + 16, 2*a + 0*a - 1 = -d. Suppose 2*p - d - 5 = 0. Suppose 4*g**4 - 6*g - p*g**2 + 8*g**3 + 7*g - 9*g = 0. Calculate g.
-2, -1, 0, 1
Let w(g) = 2*g**3 + 187*g**2 - 285*g + 3. Let f be w(-95). Suppose -10/13*y**2 + 0 + 0*y + 2/13*y**f = 0. What is y?
0, 5
Let l(i) = -i**2 + 21*i - 23. Let a(d) = -d**2 + d - 1. Let w(y) = -6*a(y) + 2*l(y). Let w(g) = 0. What is g?
-10, 1
Let -11*d**3 - 757 - 3*d**4 + 59*d - 971 + 132*d**2 - d**3 + 229*d = 0. Calculate d.
-6, 4
Let g = 9391/28182 + 1/9394. Let -2/3*c**2 + 1/3*c**3 + 1/2 + 1/6*c**4 - g*c = 0. Calculate c.
-3, -1, 1
Suppose 2/11*r**4 + 210/11*r**2 - 50*r + 500/11 - 34/11*r**3 = 0. What is r?
2, 5
Let c = -223 + 226. Let l(a) be the second derivative of 0 - 5*a - 5/24*a**c + 1/4*a**2 + 1/16*a**4. Let l(q) = 0. What is q?
2/3, 1
Let j(h) be the second derivative of -5/24*h**4 - 1/6*h**3 + 19*h + 0 + 0*h**2 + 0*h**5 + 1/12*h**6 + 1/42*h**7. Solve j(b) = 0 for b.
-2, -1, -1/2, 0, 1
Let a(d) be the first derivative of -d**3 - 27*d**2/2 - 64. Suppose a(y) = 0. Calculate y.
-9, 0
Find x, given that 2/3*x**2 + 0 - 2/3*x**4 + 4/3*x - 4/3*x**3 = 0.
-2, -1, 0, 1
Let h(t) be the first derivative of 3/11*t**2 + 2/11*t - 1/33*t**6 + 4/33*t**3 - 1/11*t**4 - 6/55*t**5 + 26. Factor h(d).
-2*(d - 1)*(d + 1)**4/11
Let l(g) = g**3 + g**2 - 1. Let m(j) be the second derivative of -3*j**5/20 + j**4/6 - j**2 - 15*j. Let t(i) = 2*l(i) - m(i). Determine c so that t(c) = 0.
0
Let c(t) = 9*t**2 + 3*t + 6. Let i(b) = -b**2 - 1. Let z(s) = c(s) + 6*i(s). Factor z(q).
3*q*(q + 1)
Let c(n) = n**3 + 5*n**2 - 4*n + 14. Let r be c(-6). Let v(p) = p**2 - 5*p - 3. Let y be v(6). Factor -7 + 7 + b**r - y*b.
b*(b - 3)
Let x(z) = 5*z + 16. Let p be x(-5). Let c(k) = k**2 + 10*k + 11. Let u be c(p). Factor 0 - 1/2*y + 1/2*y**3 + 0*y**u.
y*(y - 1)*(y + 1)/2
Let u(l) = 2*l**2 - 9*l - 3. Let i(h) = 3*h - 4. Let w be i(3). Let m be u(w). Determine g, given that -1/2*g**2 - m*g - 3/2 = 0.
-3, -1
Let q(j) be the second derivative of -1/9*j**4 - 1/9*j**3 + 1/30*j**5 + 0 + 24*j + 1/90*j**6 + 1/2*j**2. Factor q(m).
(m - 1)**2*(m + 1)*(m + 3)/3
Let y be 1 - (2/(-16))/(24/(-160)). Let z(h) b