e the second derivative of 0*m**2 - 9*m + 2/15*m**3 + 1/50*m**5 - 1/10*m**4 + 0. Suppose w(p) = 0. What is p?
0, 1, 2
Let g(v) be the second derivative of v**8/1680 + v**7/420 + v**6/360 + v**3/6 - 2*v. Let y(j) be the second derivative of g(j). Factor y(z).
z**2*(z + 1)**2
Let x(t) = -t**2 + 5*t + 4. Let h be x(6). Let i = 0 - h. What is o in -1 - 9*o**2 - 8*o**2 - 9*o**3 - 7*o + 2*o**i = 0?
-1, -1/3
Let x be 1/((-68)/(-16) - 4). Let k(j) be the second derivative of 1/30*j**x + j + 0*j**2 + 1/15*j**3 + 0. Find v such that k(v) = 0.
-1, 0
Factor -13*f + f**3 + 2*f**3 + 9*f**2 + 19*f.
3*f*(f + 1)*(f + 2)
Suppose -5 = 5*z - 3*l, -3*l = 5*z + 2*l + 45. Let m = 6 + z. Factor -1 - n**m - n - n + 4*n.
-(n - 1)**2
Let 28*f**2 + 11 + 15 - 12 + 120*f + 18 = 0. Calculate f.
-4, -2/7
Determine w so that 0 + 3/5*w**3 - 1/5*w**2 + 1/5*w**4 - 3/5*w = 0.
-3, -1, 0, 1
Let z be (0 - -1)/(4/2). Suppose -22 = -5*m + 3. Factor 3/4*p - z*p**2 + 1/4*p**m + 0*p**4 - p**3 + 1/2.
(p - 2)*(p - 1)*(p + 1)**3/4
Let q(o) = 4*o**5 + 7*o**4 - 4*o**3 - 7*o**2. Let h(x) = 44*x**5 + 76*x**4 - 44*x**3 - 76*x**2. Let m(v) = -3*h(v) + 32*q(v). Factor m(l).
-4*l**2*(l - 1)*(l + 1)**2
Let m(b) = 5*b**2 + 6*b - 7. Let j be m(1). Find z such that 0 - 238/3*z**j - 98/3*z**5 + 88/3*z**2 - 12*z**3 - 16/3*z = 0.
-2, -1, 0, 2/7
Let q(o) = -4*o**2 - 1. Let t(d) = -2*d**2 - 1. Let b = -9 - -6. Let p(u) = b*q(u) + 5*t(u). Factor p(g).
2*(g - 1)*(g + 1)
Factor 78 - 38 - 28 - 9*p**2 - 3*p**3.
-3*(p - 1)*(p + 2)**2
Let s be ((-10)/4 - -1)*(-100)/45. Let g(q) be the first derivative of 3 - q**2 - 2*q**4 + 0*q - s*q**3. Solve g(i) = 0.
-1, -1/4, 0
Let v = 129 - 385/3. Let -v*g**2 + 2/3 - 2/3*g + 2/3*g**3 = 0. What is g?
-1, 1
Let d(k) = k**3 + 8*k**2 - k - 5. Let p be d(-8). Suppose -p*w - w = 0. Solve 0 - j**3 + 1/2*j**4 + w*j + 1/2*j**2 = 0.
0, 1
Let i = 16 + -14. Let k be i/(-10) - (-21)/5. Solve -1/2*x**2 + 1/2*x**k + 1/2*x**5 + 0*x - 1/2*x**3 + 0 = 0 for x.
-1, 0, 1
Factor 21/5*r**4 + 0 + 33/5*r**3 + 3/5*r**5 + 3*r**2 + 0*r.
3*r**2*(r + 1)**2*(r + 5)/5
Let b(l) = -l**4 - l**3 - l**2 + 1. Let w(v) = 30*v**4 + 27*v**3 - 57*v**2 + 18*v - 18. Let t(y) = -18*b(y) - w(y). Determine n, given that t(n) = 0.
-3, 0, 1/4, 2
Let b(d) be the third derivative of d**8/1512 + 4*d**7/945 + d**6/108 + d**5/135 + 7*d**2. Factor b(i).
2*i**2*(i + 1)**2*(i + 2)/9
Suppose 0 + 1/2*f**2 + 1/2*f = 0. What is f?
-1, 0
Let c(f) be the second derivative of f**4/60 + f**3/30 - 19*f. Let c(y) = 0. Calculate y.
-1, 0
Let b be (-8)/((4 - 1)/(-6)). Suppose b = 4*x - 0. Suppose -2*l - 1 - x + 6 - 3*l**2 = 0. What is l?
-1, 1/3
Let p = 8 + -4. Suppose -d + k + 8 = p*k, 0 = -4*d - k + 10. Solve -4/7*j**d + 0 + 2/7*j**3 + 2/7*j = 0.
0, 1
Let p = -31/20 + 7/4. Let b(s) be the second derivative of 0 - 2/15*s**3 - s - 1/30*s**4 - p*s**2. Factor b(o).
-2*(o + 1)**2/5
Determine h, given that h - h**2 + 1/3*h**3 - 1/3 = 0.
1
Factor 8 - 28/3*o + 4/3*o**2.
4*(o - 6)*(o - 1)/3
Let x = 83/40 + -15/8. Let t be (-4)/10*6/(-4). Factor 2/5 + x*j**2 + t*j.
(j + 1)*(j + 2)/5
Let q(r) be the second derivative of -r**7/140 - r**6/120 - 3*r**2 + 7*r. Let n(c) be the first derivative of q(c). Find d such that n(d) = 0.
-2/3, 0
Suppose 0 = -o + 5*h + 15, 3*o - 6*o - 3*h - 9 = 0. Factor 1/2*p**5 + 0*p + 5/4*p**4 + 1/4*p**2 + p**3 + o.
p**2*(p + 1)**2*(2*p + 1)/4
Suppose 18/5*p**2 - 26/5*p + 8/5 = 0. Calculate p.
4/9, 1
Let c = 926/3 + -308. Let c*z**4 + 6*z**2 + 0*z + 0 - 4*z**3 = 0. What is z?
0, 3
Let z(l) be the third derivative of -l**8/100800 - l**7/25200 + 7*l**5/60 + 5*l**2. Let s(x) be the third derivative of z(x). Factor s(q).
-q*(q + 1)/5
Let d(t) be the second derivative of 1/5*t**3 - 3/10*t**2 + 9*t - 1/20*t**4 + 0. Let d(h) = 0. What is h?
1
Let p(o) be the second derivative of o**7/84 + o**6/60 - o**5/8 + o**4/8 - 3*o. Factor p(x).
x**2*(x - 1)**2*(x + 3)/2
Let m(d) be the third derivative of 0 - 1/270*d**5 + 0*d + 3*d**2 + 0*d**4 + 0*d**3. Factor m(c).
-2*c**2/9
Let n(j) be the first derivative of 0*j + 4 - 1/20*j**5 + 1/12*j**3 + 1/24*j**6 - 1/16*j**4 + 0*j**2. Let n(k) = 0. What is k?
-1, 0, 1
Let q(y) = 3*y**2 - 4*y - 5. Let b(w) = -8*w**2 - 3*w + 5*w + 3*w + 16 + 7*w. Let v(h) = -3*b(h) - 10*q(h). Find g, given that v(g) = 0.
-1/3, 1
Let l(a) be the first derivative of 2/5*a**5 - 3/2*a**4 + 0*a + 4/3*a**3 - 2 + 0*a**2. Solve l(q) = 0 for q.
0, 1, 2
Factor -1/7*d**2 - 4/7 - 4/7*d.
-(d + 2)**2/7
Let a(w) = 2*w**2 + 1. Let b be a(2). Let -2*j**5 - 5*j**4 + b*j**4 - 6*j**4 = 0. Calculate j.
-1, 0
Suppose 3 = -3*k + 6*k. Suppose k = 2*x - 3. Factor 2/7*f**x + 2/7 - 4/7*f.
2*(f - 1)**2/7
Let c(f) be the second derivative of 0 + 1/7*f**3 - 1/70*f**5 + 4*f + 0*f**4 - 2/7*f**2. Factor c(p).
-2*(p - 1)**2*(p + 2)/7
Let d be -4 - -2*(4/(-2) - -5). Factor 2/5*j**d + 0*j + 2/5*j**4 + 0 + 4/5*j**3.
2*j**2*(j + 1)**2/5
Let i(z) = -z**2 - z - 5. Let y be i(-5). Let k = y - -27. Factor -2 - k*u - 1/2*u**2.
-(u + 2)**2/2
Let b(n) be the third derivative of n**5/150 + n**4/60 - 2*n**3/5 - 14*n**2. Factor b(k).
2*(k - 2)*(k + 3)/5
Suppose 0 = l - 5 - 0. Factor q**3 - 3*q**3 + q**4 - q**4 - q**4 + 3*q**l.
q**3*(q - 1)*(3*q + 2)
Let h = 346 - 346. Determine s, given that 1 + h*s + 1/4*s**3 - 3/4*s**2 = 0.
-1, 2
Suppose -7*o = -11*o + 28. Let v(z) be the third derivative of 1/9*z**4 + 1/315*z**o + 0*z + 1/9*z**3 + 1/15*z**5 + 1/45*z**6 + 0 + 2*z**2. Factor v(m).
2*(m + 1)**4/3
Let n(a) be the third derivative of 2*a**7/105 + a**6/30 - a**5/5 - 5*a**4/6 - 4*a**3/3 + 8*a**2. Determine r so that n(r) = 0.
-1, 2
Suppose b - 4*g - 6 = 0, -b = 2*b - 3*g - 9. Let q be (-5)/2*(-39)/65. Let q*h - 1/2*h**b - 1 = 0. What is h?
1, 2
Let g(i) = 15*i + 167. Let p be g(-11). Determine f, given that 5*f + 1 + 25/4*f**p = 0.
-2/5
Let u(v) be the third derivative of -v**8/70560 + v**7/8820 - v**6/2520 - v**5/60 + v**2. Let c(s) be the third derivative of u(s). Factor c(t).
-2*(t - 1)**2/7
Let l(r) be the third derivative of 7/30*r**5 - 5*r**2 + 1/21*r**7 - 1/168*r**8 - 1/6*r**4 + 0*r - 3/20*r**6 + 0*r**3 + 0. Factor l(t).
-2*t*(t - 2)*(t - 1)**3
Suppose -y - 2*y - 558 = 0. Let g = 1304/7 + y. Factor 2/7*j**2 + 0 + 0*j + g*j**3.
2*j**2*(j + 1)/7
Factor 6*x**2 + 5*x**5 + 5*x**3 + 10*x**4 - 10*x**3 - 16*x**2.
5*x**2*(x - 1)*(x + 1)*(x + 2)
Suppose -a - 2*a = -9. Let j(s) be the second derivative of 1/6*s**4 + 0*s**2 + 0 - 1/15*s**6 + 0*s**5 + 0*s**a - 2*s. Determine m so that j(m) = 0.
-1, 0, 1
Suppose 22 = 3*l - 2*b, -3*l + 4*l - 4*b - 14 = 0. Solve 2*z**5 - 4*z**5 - 2*z**3 - 5*z**4 + l*z**4 + 3*z**4 = 0 for z.
0, 1
Let k(a) be the first derivative of -27/20*a**4 + 1 - 3*a**3 - 3/5*a - 21/10*a**2. Factor k(c).
-3*(c + 1)*(3*c + 1)**2/5
Let z = -101/2 - -51. Factor -9/4*d**2 + 15/4*d**3 - 11/4*d**4 + z*d + 3/4*d**5 + 0.
d*(d - 1)**3*(3*d - 2)/4
Let m = 12 + -23. Let r(z) = 4*z**4 + 4*z**3 + 8*z**2 + 2*z - 2. Let h(a) = 21*a**4 + 19*a**3 + 41*a**2 + 10*a - 11. Let s(i) = m*r(i) + 2*h(i). Factor s(g).
-2*g*(g + 1)**3
Suppose 5*u - 15 = 0, -2*n + 0*u + 9 = -u. Suppose -n = -f - f. Factor r**2 - 2*r**2 - r**5 - 3*r**3 - 3*r**4 + 0*r**f.
-r**2*(r + 1)**3
Let i(u) = 3*u - 17. Let p be i(7). Let s be 0 + 2 - p/8. Suppose 0 - 3/2*b**3 - 1/2*b**4 + 0*b + s*b**5 + 1/2*b**2 = 0. Calculate b.
-1, 0, 1/3, 1
Let r be 0 + (3/1 - 0). Let x(w) be the third derivative of 1/270*w**5 + 0 - 1/540*w**6 - 1/945*w**7 + 0*w + 1/108*w**4 + 0*w**3 - r*w**2. Factor x(d).
-2*d*(d - 1)*(d + 1)**2/9
Let n = 1344 + -5309/4. Let j = n - 193/12. Find g such that -1/3*g**2 - 1/3 + j*g = 0.
1
Let l = 4/95 - 3531/380. Let p = -251/28 - l. Determine r so that 4/7*r**4 - 4/7*r**2 - p*r + 0*r**3 + 2/7*r**5 + 0 = 0.
-1, 0, 1
Let j(l) = -l**3 + 18*l**2 - 19*l + 38. Let r be j(17). Factor 0 - 1/4*g**2 + 1/4*g**r - 1/4*g + 1/4*g**3.
g*(g - 1)*(g + 1)**2/4
Let h(s) be the first derivative of s**6/39 + 4*s**5/65 - 4*s**4/13 - 32*s**3/39 + 16*s**2/13 + 64*s/13 - 6. Find p, given that h(p) = 0.
-2, 2
Let i be (-3*(-6)/(-135))/(16/(-5)). Let r(m) be the second derivative of -2*m - 1/4*m**2 + 0 + 1/48*m**4 + i*m**3. Let r(o) = 0. Calculate o.
-2, 1
Find l, given that -4*l**5 + 4*l**4 - 123*l - 57*l + 52*l**3 - 44*l - 144 - 4*l**2 + 32*l = 0.
-2, -1, 3
Let o(n) be the second derivative of -n**4/3 - 8*n**3 - 72*n**2 + 3