 2/21*n**4 + 0 + 0*n**2 - 3/70*n**5. Solve i(u) = 0 for u.
-1, 0, 2
Let a(v) be the first derivative of 5*v**5 + 85*v**4/4 + 35*v**3 + 55*v**2/2 + 10*v - 16. Factor a(i).
5*(i + 1)**3*(5*i + 2)
Let v(g) be the second derivative of g**4/3 + 20*g**3/3 + 50*g**2 + 7*g. Factor v(b).
4*(b + 5)**2
Let d(t) be the second derivative of -t**8/1680 + t**6/200 - t**5/150 - 3*t**2 + 8*t. Let c(j) be the first derivative of d(j). Find l, given that c(l) = 0.
-2, 0, 1
Let y(x) be the first derivative of 2/21*x**3 - 2 + 8/7*x + 4/7*x**2. Factor y(l).
2*(l + 2)**2/7
Let q(d) be the third derivative of -11*d**5/60 + d**4/4 - 17*d**2. Find b such that q(b) = 0.
0, 6/11
Let i be (2/4)/(2/12). Factor 4*y**3 + y - 3*y**i + 0*y**3 + 2*y**2.
y*(y + 1)**2
Find v such that -2/3 - 2/3*v**2 + 4/3*v = 0.
1
Let g(n) be the third derivative of n**9/272160 - n**8/90720 + n**5/60 - 6*n**2. Let v(w) be the third derivative of g(w). Let v(b) = 0. Calculate b.
0, 1
Let f be (-3)/12 + 51/12. Suppose 0*n - 8 = -f*n. Determine g, given that 1 - 2*g - n*g**2 + 2*g - g = 0.
-1, 1/2
Suppose -5*c + 8 = -3*c. Suppose 3*o = c*o + 3*d + 13, d - 1 = -3*o. Factor -3 - 1 + 1 - 2*p**o + 1 - 4*p.
-2*(p + 1)**2
Let g(j) be the second derivative of -7*j**5/40 - 3*j**4/8 - j**3/6 - 10*j. Factor g(l).
-l*(l + 1)*(7*l + 2)/2
Factor 0*x + 3/8 - 3/8*x**2.
-3*(x - 1)*(x + 1)/8
Let z(j) be the second derivative of -1/3*j**2 - 3*j - 1/15*j**5 + 2/9*j**3 + 1/18*j**4 + 0. Factor z(i).
-2*(i - 1)*(i + 1)*(2*i - 1)/3
Let l(x) = x**2 - x - 2. Let z be l(2). Suppose 4*q = -z*q. Solve 1/4*c**2 + 1/4*c**3 + q*c + 0 = 0.
-1, 0
Let k(i) = 9*i**5 + 6*i**4 + 9*i**3 - 16*i**2 + 8*i - 8. Let a(y) = y**5 + y**3 + y**2 - y - 1. Let n(b) = -40*a(b) + 5*k(b). Let n(p) = 0. Calculate p.
-4, 0, 1
Find u such that -21*u**3 - 5*u**5 + 4*u**3 + 20*u**4 + 2*u**3 = 0.
0, 1, 3
Let 4*s + 5*s**5 + 11*s**5 - 20*s**3 + 12*s**4 - 20*s**2 - 17*s**2 + 25*s**2 = 0. Calculate s.
-1, 0, 1/4, 1
Determine s so that 4/7*s**4 - 4/7*s**2 + 0 - 2/7*s**3 + 2/7*s**5 + 0*s = 0.
-2, -1, 0, 1
Let m(w) be the second derivative of -w**7/70 + 3*w**6/40 - 3*w**5/20 + w**4/8 - w**2/2 - 3*w. Let o(v) be the first derivative of m(v). Factor o(j).
-3*j*(j - 1)**3
Let z(r) = r**4 + r**3 + r**2 + r + 1. Let m(j) = j**5 + 2*j**4 + 10*j**3 + 6*j**2 + 6*j + 6. Let t(l) = m(l) - 6*z(l). Factor t(n).
n**3*(n - 2)**2
Let i(c) = -5*c**2 - 1. Let n(x) = -x. Let u(a) = -i(a) + n(a). Let v be u(1). Determine k so that -2*k**3 - 2*k**3 + v*k**3 - k**2 = 0.
0, 1
Suppose 2*j - 7*j = 0. Let w(p) be the third derivative of -1/105*p**7 + j*p - p**2 + 1/20*p**6 - 1/10*p**5 + 0*p**3 + 1/12*p**4 + 0. Let w(q) = 0. Calculate q.
0, 1
Let q(h) be the second derivative of 0 + 0*h**4 - 3*h + 1/30*h**5 + 0*h**2 + 0*h**3. Factor q(a).
2*a**3/3
Factor -35 + 2909*x**2 - x**3 - 4*x**3 - 2934*x**2 + 65*x.
-5*(x - 1)**2*(x + 7)
Let q be (-10)/4 + (-9)/(-3). Factor -1/2*k + 0 - q*k**3 + k**2.
-k*(k - 1)**2/2
Let f be 8*(-2)/(-4 - -2). Factor 2*r**4 + 8*r**2 - 2*r**2 + r - f*r**3 + 2*r**3 - 3*r.
2*r*(r - 1)**3
Let k(r) be the third derivative of 0*r**3 + 1/15*r**6 - 1/35*r**8 + 1/15*r**4 + 0*r - 11/75*r**5 + 0 - 8*r**2 + 22/525*r**7. Let k(b) = 0. Calculate b.
-1, 0, 1/4, 2/3, 1
Let f(i) = 3*i**3 + 11*i**2 - i + 7. Let q(y) = -2*y**3 - 10*y**2 + 2*y - 6. Let s = -4 - -8. Suppose -2 = s*m + 14. Let t(z) = m*f(z) - 5*q(z). Solve t(l) = 0.
1
Let p(f) = -f**2 + f + 1. Let d(u) = u**2 + 17*u - 22. Let n(z) = -d(z) - 4*p(z). Solve n(m) = 0.
1, 6
Let g(i) be the third derivative of -7*i**5/60 + i**4/24 + i**3/2 - 4*i**2. Let n(t) = -3*t**2 + 1. Let v(c) = -4*g(c) + 10*n(c). Solve v(l) = 0.
-1
Let l(x) be the third derivative of -x**8/672 - x**7/70 - 7*x**6/120 - 2*x**5/15 - 3*x**4/16 - x**3/6 + 48*x**2. What is q in l(q) = 0?
-2, -1
Let x be (-1)/(-8)*6*(-9)/(-27). Let l(h) be the second derivative of 1/16*h**4 + 2*h + 0 + 3/80*h**5 + 0*h**2 - x*h**3. Suppose l(m) = 0. What is m?
-2, 0, 1
Let c(u) = 4*u**2 + 7*u + 2. Let t(x) = -x**2. Let w(z) = c(z) - t(z). Let b(f) = -5*f + 5*f + f + 1. Let n(h) = -4*b(h) + w(h). What is o in n(o) = 0?
-1, 2/5
Let g(s) = 2*s**3 - s**2 - s - 2. Let i be g(2). Solve -2*f**2 - 2*f + i - 8 = 0.
-1, 0
Let t be (-146)/10 - 4/10. Let g be (2/6)/((-1)/t). Factor 2 - 6*d**g + 36*d**2 + 11*d**4 - 44*d**3 + 2*d**4 + 13*d**4 - 14*d.
-2*(d - 1)**4*(3*d - 1)
Let f(w) be the third derivative of -w**7/420 - w**6/240 + w**5/240 + 2*w**3/3 - 2*w**2. Let k(c) be the first derivative of f(c). Factor k(o).
-o*(o + 1)*(4*o - 1)/2
Let v(c) be the third derivative of -7*c**6/30 - 4*c**5/5 + 2*c**4/3 + 27*c**2. Factor v(d).
-4*d*(d + 2)*(7*d - 2)
Let j(m) be the third derivative of 0 + 0*m - 1/72*m**4 - 1/360*m**5 - m**2 + 0*m**3. Determine o, given that j(o) = 0.
-2, 0
Let b(i) = i**2 + 5*i + 6. Let u(w) = w**2 - 7*w + 5. Let l be u(4). Let o be b(l). Suppose 2*h**5 - 4*h**4 + o*h + 2*h**3 - 20*h = 0. What is h?
0, 1
Let t(w) = w**3 + 13*w**2 + 2. Let i be t(-13). Factor -3*f**i - 3 - 10 - f + 2*f**2 + f**3 + 14.
(f - 1)**2*(f + 1)
Let l be 4/2 - 12/14. Suppose -r = 4*n - 4, r + 3*r - 16 = -5*n. Factor 2/7*g - 4/7*g**2 - 2*g**3 + 0 - l*g**r.
-2*g*(g + 1)**2*(4*g - 1)/7
Let q = -131 + 1181/9. Find o such that 0 + q*o**2 + 2/9*o = 0.
-1, 0
Let a be -3*(51/(-9) - -2). Suppose a = -c + 5*g, 3*c + 5*g = c + 23. Let u**c + 1 + u**5 + 5*u + 10*u**3 + 4*u**4 + 0 + 10*u**2 = 0. Calculate u.
-1
Suppose 2*l = -9*o + 4*o - 4, 4*l + 8 = -3*o. Solve 2/3*n**2 + 1/3*n**3 + 0*n + o = 0.
-2, 0
Let l be ((-15)/60)/(12/(-64)). Factor 7/3*h**2 + 3*h**3 + l - 20/3*h.
(h - 1)*(h + 2)*(9*h - 2)/3
Let j(g) = -g**2 + 9*g - 9. Let a be j(7). Suppose 4 = -5*v - a*m + 9, 3*m = 3*v - 27. Suppose v - 9*c**2 - 5 + 2*c = 0. Calculate c.
0, 2/9
What is t in -1/5*t**5 - 16/5 + 8/5*t**2 + 16/5*t + 7/5*t**4 - 16/5*t**3 = 0?
-1, 2
Let g(p) be the third derivative of p**5/420 - p**4/168 + 7*p**2. Find u such that g(u) = 0.
0, 1
Factor -2/11*z**2 + 0 + 2/11*z.
-2*z*(z - 1)/11
Let o = 2/77 + 69/308. Suppose -5/4*x**3 + 3/4*x**2 - x**4 + 5/4*x + o = 0. Calculate x.
-1, -1/4, 1
Let u(l) be the first derivative of -l**4/36 - l**3/18 - 5*l + 1. Let p(s) be the first derivative of u(s). Factor p(h).
-h*(h + 1)/3
Let k(h) be the second derivative of h**7/8820 + h**6/2520 - h**5/210 - 2*h**4/3 - 10*h. Let y(x) be the third derivative of k(x). Find g, given that y(g) = 0.
-2, 1
Suppose -15*z + 18 = -12. Solve -2/3*a**3 + 0*a - 2/3*a**5 + 0 + 0*a**z - 4/3*a**4 = 0 for a.
-1, 0
Let f(q) be the first derivative of 2*q**5/25 + 3. Factor f(s).
2*s**4/5
Let n(t) be the first derivative of -t**4/4 - 7*t**3/3 - 8*t**2 - 12*t - 8. Solve n(j) = 0 for j.
-3, -2
Let r be ((-8)/(-100))/((-4)/(-20)). Suppose 0*a + 2 = a. Find s, given that -r*s**a + 2/5*s + 4/5 = 0.
-1, 2
Let l(m) be the second derivative of m**4/18 - 4*m**3/9 + 4*m**2/3 + 4*m. Find q such that l(q) = 0.
2
Let w(c) be the second derivative of 4*c**6/15 + c**5/5 - 5*c**4/3 + 4*c**3/3 - 4*c. Find t, given that w(t) = 0.
-2, 0, 1/2, 1
Let i(j) be the first derivative of -3*j**5/10 - j**4/4 + j**3/2 + j**2/2 + 5. Let i(t) = 0. Calculate t.
-1, -2/3, 0, 1
Suppose -487*u**4 + 279*u**4 - 20*u**3 - 36*u**5 - 8*u**2 + 272*u**4 = 0. Calculate u.
-2/9, 0, 1
Let k = 7 - 4. Suppose k*b - 7 = 2*f, 3*b - 2*f - 11 = -f. Factor 0 - 4/3*y**4 + 4/3*y**2 + 2/3*y + 0*y**3 - 2/3*y**b.
-2*y*(y - 1)*(y + 1)**3/3
Factor -1/2*u + u**3 + u**2 - 1/2*u**4 - 1/2 - 1/2*u**5.
-(u - 1)**2*(u + 1)**3/2
Let l(a) be the first derivative of a**8/2240 + a**7/560 + a**6/480 + 3*a**3 - 8. Let o(t) be the third derivative of l(t). Solve o(n) = 0 for n.
-1, 0
Let c = -3 - -9. Let o(w) = -w**4 - w**3 - w**2 - 3*w. Let z(h) = h**3 + h**2 + h. Let t(p) = c*z(p) + 3*o(p). Factor t(f).
-3*f*(f - 1)**2*(f + 1)
Factor -6*h**3 + 13*h**2 + 10*h**2 - 10*h**4 - 19*h**2.
-2*h**2*(h + 1)*(5*h - 2)
Let c(w) = w**3 + w**2 - w - 1. Let z(u) = u**4 + 5*u**3 + 7*u**2 + 3*u. Let n = 15 - 16. Let x(g) = n*z(g) + c(g). Factor x(s).
-(s + 1)**4
Let u(g) be the third derivative of g**2 + 1/60*g**6 - 1/70*g**7 + 0*g**3 + 1/20*g**5 - 1/12*g**4 + 0*g + 0. Factor u(m).
-m*(m - 1)*(m + 1)*(3*m - 2)
Let i(x) be the third derivative of x**7/315 - x**6/135 + x**5/270 - 12*x**2. Solve i(o) = 0.
0, 1/3, 1
Let w(v) be the first derivative of 2*v**3/4