Let i(j) be the second derivative of s(j). Factor i(z).
-z*(z + 2)*(3*z + 2)**2/4
Find f such that 2/5*f**2 + 0 + 4/5*f = 0.
-2, 0
Let z be (8 - 2) + (-49)/4 + 8. Determine o so that -19/4*o**4 - 1 + 23/4*o**2 - z*o**5 + 2*o - 1/4*o**3 = 0.
-2, -1, 2/7, 1
Let g be 1 - ((-2)/7 - (-136)/112). Let u(l) be the first derivative of -1/7*l**2 + 2/35*l**5 - 2/7*l**3 + g*l**4 + 1 + 4/7*l. Factor u(t).
2*(t - 1)**2*(t + 1)*(t + 2)/7
Let y(n) = -38*n + 190. Let f be y(5). Factor f*r + 0 + 3/2*r**2.
3*r**2/2
Suppose 0 + 6/13*c**2 - 4/13*c**3 - 2/13*c**4 + 0*c = 0. Calculate c.
-3, 0, 1
Let m(r) = 3*r**2 - r + 1. Let a = 6 + -5. Let w be m(a). Suppose 1/4*t**w - 3/4*t**2 + 3/4*t - 1/4 = 0. Calculate t.
1
Let i(m) be the second derivative of m**7/168 - m**6/60 + m**4/24 - m**3/24 - 7*m. Factor i(r).
r*(r - 1)**3*(r + 1)/4
Let f(v) be the first derivative of 0*v**5 + 3 + 0*v**2 + 0*v + 0*v**3 + 1/15*v**6 - 1/10*v**4. Solve f(d) = 0.
-1, 0, 1
Let c(u) = 5*u**2 + 4*u - 1. Let l(s) = 4*s**2 + 4*s. Let f(t) = -3*c(t) + 4*l(t). What is g in f(g) = 0?
-3, -1
Find r, given that -2*r + 3/2 + 1/2*r**2 = 0.
1, 3
Let j(n) be the second derivative of n**8/1470 + n**7/735 + n**6/1260 + n**3/2 + 2*n. Let h(c) be the second derivative of j(c). Factor h(r).
2*r**2*(2*r + 1)**2/7
Let j(v) be the third derivative of 0*v**4 + 0*v + 0 + 1/1344*v**8 + 1/160*v**6 - 3*v**2 + 0*v**3 - 1/240*v**5 - 1/280*v**7. Let j(y) = 0. Calculate y.
0, 1
Let y be -1*(-3 + 5 - 5). Find s such that -s**3 + 0*s**y - s**4 + s + 4*s**2 - 3*s**4 = 0.
-1, -1/4, 0, 1
Suppose -6 = 3*t - 5*t. Factor 0 + 0*c**t + 0*c**2 - 1/4*c**5 - 1/4*c**4 + 0*c.
-c**4*(c + 1)/4
Let y(l) be the third derivative of l**6/30 + 4*l**5/15 - 13*l**2. Factor y(t).
4*t**2*(t + 4)
Solve 1/5*n**2 + 0 + 1/5*n**3 - 2/5*n = 0.
-2, 0, 1
Factor -2*c**3 + 4*c**2 + 9*c - 9*c + 0*c.
-2*c**2*(c - 2)
Let n(b) be the first derivative of -16/35*b**5 + 16/7*b**4 + 3 + 4/7*b + 4/7*b**3 - 11/7*b**2 - b**6. Find c such that n(c) = 0.
-1, 2/7, 1/3, 1
Let b(d) be the third derivative of -1/300*d**6 + 0*d**3 + 0*d + 0 + 1/336*d**8 + 0*d**5 + 1/350*d**7 - 4*d**2 + 0*d**4. Factor b(n).
n**3*(n + 1)*(5*n - 2)/5
Let q be 1386/198 - (4 - 1/(-1)). Factor -n + 1/2*n**q + 0.
n*(n - 2)/2
Let f(x) be the third derivative of -x**6/60 - x**5/15 + x**4/12 + 2*x**3/3 - 25*x**2. Factor f(s).
-2*(s - 1)*(s + 1)*(s + 2)
Factor -3*h**5 - h**3 + 5*h**5 + 2*h - 3*h**3.
2*h*(h - 1)**2*(h + 1)**2
Let b(l) be the second derivative of -l**6/15 + l**4/3 - l**2 - 6*l. Factor b(i).
-2*(i - 1)**2*(i + 1)**2
Let b(g) be the second derivative of g**5/10 - g**4/2 + 4*g**2 + 8*g. Let b(q) = 0. What is q?
-1, 2
Let 0*w**4 + 12 + 3/2*w**5 + 18*w - 21/2*w**3 - 3*w**2 = 0. Calculate w.
-2, -1, 2
Let w be ((-4)/(-18))/(10 - 2). Let s(h) be the second derivative of -h - 2/9*h**3 + 0 + w*h**4 + 2/3*h**2. Factor s(f).
(f - 2)**2/3
Let l(o) be the third derivative of 0*o - 1/105*o**5 - 3*o**2 + 0 - 1/84*o**4 + 0*o**3 - 1/420*o**6. Determine y so that l(y) = 0.
-1, 0
Determine f so that 0*f**2 + 4*f**3 - 8*f + 3*f**2 - 7*f**2 = 0.
-1, 0, 2
Let m(g) = -99*g**3 - 9*g**2 + 120*g + 30. Let c(t) = 10*t**3 + t**2 - 12*t - 3. Let n(b) = 21*c(b) + 2*m(b). Suppose n(z) = 0. What is z?
-1, -1/4, 1
Let c = 1/5 + 1/5. Factor c + 12/5*l**2 - 8/5*l - 8/5*l**3 + 2/5*l**4.
2*(l - 1)**4/5
Let t = -41/5 + 179/20. Factor 3/2 + 3/4*s - t*s**2.
-3*(s - 2)*(s + 1)/4
Let q(j) = 7*j**3 - 12*j - 8. Let p(h) = 15*h**3 - 24*h - 16. Let b(x) = 3*p(x) - 7*q(x). Factor b(a).
-4*(a - 2)*(a + 1)**2
Let k(b) be the first derivative of 2/3*b + 1/4*b**4 + 3 - 2/9*b**3 - 1/2*b**2. Suppose k(n) = 0. What is n?
-1, 2/3, 1
Let l = -14/5 + 43/10. Let u = -5/6 + l. What is y in -2/3*y**3 + 1/6 - 1/2*y**4 + u*y + 1/3*y**2 = 0?
-1, -1/3, 1
Let j(n) be the first derivative of -5*n**4/16 - n**3/4 + n**2/4 - 10. Find x, given that j(x) = 0.
-1, 0, 2/5
Let k(n) = 15 + 1 - 5 + 8 + 18*n - n**2. Let v be k(19). Factor v - q + 1/3*q**3 + 2/3*q**2.
q*(q - 1)*(q + 3)/3
Let u be 99/(-18)*(-2 + 3). Let b = -29/6 - u. Solve -2/3*a + b*a**3 + 0 - 2/3*a**2 + 2/3*a**4 = 0 for a.
-1, 0, 1
Let l(c) be the first derivative of -c**5/300 + c**3/30 + 2*c**2 - 2. Let a(t) be the second derivative of l(t). Solve a(b) = 0 for b.
-1, 1
Let z be 6/(1 + (1 - 0)). Suppose -w + z*w - 4*w - 3 - 4*w - 3*w**2 = 0. Calculate w.
-1
Let b(u) be the third derivative of u**6/600 - u**5/50 + u**4/10 - 4*u**3/15 + 25*u**2. Factor b(n).
(n - 2)**3/5
Let y(i) be the third derivative of -5*i**9/756 + 2*i**8/105 + 2*i**7/105 - i**3 + 8*i**2. Let j(q) be the first derivative of y(q). What is p in j(p) = 0?
-2/5, 0, 2
Let m(z) be the second derivative of 1/16*z**5 + 0*z**2 + 2*z + 0 + 1/24*z**4 + 1/168*z**7 + 0*z**3 + 1/30*z**6. Let m(c) = 0. What is c?
-2, -1, 0
Let l(v) be the third derivative of v**6/540 + v**5/18 + 25*v**4/36 + 125*v**3/27 + 31*v**2. Factor l(i).
2*(i + 5)**3/9
Suppose -2*b = v - 12, 8 - 33 = -5*v - 3*b. Factor 3*d**5 - v*d - d**3 + 3 + 5*d**4 - 5*d**2 - 3.
d*(d - 1)*(d + 1)**2*(3*d + 2)
Suppose 0 = -2*v - 0*v. Let u(j) be the first derivative of 1 + v*j - 1/12*j**4 - 1/9*j**3 + 0*j**2. Factor u(x).
-x**2*(x + 1)/3
Let v = 11 + -9. Let -9*x**4 + 4*x**5 - 4*x**v + x**4 + 12*x**2 - 4*x = 0. What is x?
-1, 0, 1
Let c(p) = p**2 + 12*p + 1. Suppose -2*d + 5*f = 43, 0*f = f - 3. Let x(n) = -2*n. Let z(v) = d*x(v) - 2*c(v). Factor z(m).
-2*(m - 1)**2
Let h(m) be the first derivative of -2*m**5/15 + m**4/4 + m**3/9 - m**2/2 + m/3 + 6. Determine j so that h(j) = 0.
-1, 1/2, 1
Solve -24*d**4 + 740*d - 6 - 52*d**3 + 6*d**3 - 742*d + 78*d**2 = 0.
-3, -1/4, 1/3, 1
Let i(u) be the third derivative of -u**8/6720 + u**7/560 - u**6/120 - u**5/20 - 5*u**2. Let m(n) be the third derivative of i(n). Let m(j) = 0. What is j?
1, 2
Suppose 4*k = -1 + 5. Let x = 1 + k. Let 3*y**3 - 2*y + y - x*y**3 = 0. What is y?
-1, 0, 1
Let t(h) be the second derivative of -h**5/100 + h**4/20 + h**3/30 - 3*h**2/10 + 12*h. Factor t(k).
-(k - 3)*(k - 1)*(k + 1)/5
Let o(a) be the first derivative of a**3 + 3*a**2 + 2. Factor o(j).
3*j*(j + 2)
Factor -17*x**2 - 24*x - 2*x**3 - 10 + 3*x**2 + 2*x.
-2*(x + 1)**2*(x + 5)
Let p be 7 - (4/4 + 3). Factor -o + 0*o + o**2 + p*o.
o*(o + 2)
Let w(i) be the first derivative of -5*i**3/3 + 5*i + 19. Factor w(c).
-5*(c - 1)*(c + 1)
Let u(p) be the second derivative of 3*p**8/280 + p**7/70 + p**6/180 - 2*p**3/3 - 3*p. Let b(q) be the second derivative of u(q). Factor b(x).
2*x**2*(3*x + 1)**2
Let v(z) be the second derivative of -z**7/2520 - z**6/360 - z**5/120 - z**4/6 + 2*z. Let y(a) be the third derivative of v(a). Let y(b) = 0. Calculate b.
-1
Let o be (4/(-10))/((-10)/100). Let f(a) be the third derivative of -1/105*a**7 + 1/6*a**o + 0*a**6 + 0*a**3 + 0*a + 0 - 2*a**2 + 1/10*a**5. Factor f(k).
-2*k*(k - 2)*(k + 1)**2
Let u(z) = z - 4. Let a be u(10). Let w(m) = -15*m**2 + 19*m. Let j(l) = 8*l**2 - 10*l. Let n(p) = a*w(p) + 11*j(p). Factor n(d).
-2*d*(d - 2)
Let h(q) be the third derivative of 1/270*q**5 + 0*q - 1/945*q**7 + q**2 + 0*q**3 + 0 + 0*q**6 + 0*q**4. Suppose h(f) = 0. Calculate f.
-1, 0, 1
Let o(t) = t**2 + t - 2. Let u(z) be the first derivative of -z**3/3 - z**2/2 + 2*z - 3. Let b(x) = 4*o(x) + 5*u(x). Factor b(w).
-(w - 1)*(w + 2)
Let z(w) be the second derivative of -w**8/8400 + w**3/2 - 2*w. Let a(n) be the second derivative of z(n). Find y such that a(y) = 0.
0
Let t be 30938/154 + (-12)/(-42). Let u = -201 + t. Find g, given that 18/11 + u*g**2 + 12/11*g = 0.
-3
Let d(r) = -5*r**2 - 2 + 1 - 3 - 8*r + r**2. Let u(j) = -j**2 - 2*j - 1. Let b(m) = -2*d(m) + 9*u(m). Let b(o) = 0. What is o?
-1
Suppose 3*z - 1 = 17. Suppose 2*a = 5*o - z, -2*a = -a - o. Factor 2/11*s**a + 0 + 6/11*s**4 + 0*s + 6/11*s**3 + 2/11*s**5.
2*s**2*(s + 1)**3/11
Let p be 40/(-6)*24/(-5). Suppose -p = -q - 3*q. Determine k so that 2*k**3 + 2*k**2 - q*k + 8*k = 0.
-1, 0
Let w(i) = -2*i**2 + i. Suppose -l = 3, 9 = -4*s - 3*l + 24. Let y = 40 + -26. Let x(d) = 3*d**2 - 3*d. Let r(f) = s*x(f) + y*w(f). Let r(k) = 0. What is k?
-2/5, 0
Let -2/11*s**2 + 2/11*s**3 - 2/11*s + 2/11 = 0. Calculate s.
-1, 1
Factor -3/2*h**2 + 1/2*h + 0.
-h*(3*h - 1)/2
Let c(t) = t**3 + t - 1. Let i(m) = 2*m**4 + 6*m**3 + 72*m**2 + 94*m + 68. Let u(n) = 28*c(n) + 2*i(n). Determine h, given that u