- 10)*(c - 1)*(c + 1)/5
Let p(f) be the third derivative of f**7/210 + f**6/30 - 4*f**5/5 + 14*f**4/3 - 40*f**3/3 - 2*f**2 - 27. Determine z, given that p(z) = 0.
-10, 2
Let o(z) be the first derivative of -4*z**6/9 + 19*z**4/6 + 2*z**3/9 - 4*z**2 - 8*z/3 + 6. Suppose o(v) = 0. What is v?
-2, -1/2, 1, 2
Let n(v) be the second derivative of v**6/45 - v**5/5 + 11*v**4/18 - 2*v**3/3 - v + 1. Factor n(t).
2*t*(t - 3)*(t - 2)*(t - 1)/3
Let a = 51 + -611/12. Let v(s) be the first derivative of 0*s + 5 + a*s**2 + 1/18*s**3. Let v(n) = 0. What is n?
-1, 0
Find r such that 10/19*r**3 - 4/19*r**2 + 0 + 0*r = 0.
0, 2/5
Let y be (-500)/(-2520) + 3/(-63)*3. Let z(x) be the second derivative of 0*x**2 + 12*x + y*x**4 + 0*x**3 + 0. Let z(p) = 0. What is p?
0
Let i(v) be the third derivative of -v**6/40 - v**5/10 + v**4/2 + 4*v**3 - v**2 - 10*v. Factor i(j).
-3*(j - 2)*(j + 2)**2
Let l(v) be the second derivative of -v**5/100 + v**4/5 + 13*v**3/30 - 106*v. Find h such that l(h) = 0.
-1, 0, 13
Let j(f) = -f + 6. Let x be j(4). Factor 2 + 4 - 3*l**2 + 8*l + l**x - 12*l.
-2*(l - 1)*(l + 3)
Suppose -303/4*a**2 + 361/4 + 2*a**3 + 1425/2*a = 0. Calculate a.
-1/8, 19
Let -9/10*j**4 - 52/5*j - 1/5*j**5 + 51/10*j**2 + 8/5*j**3 + 24/5 = 0. What is j?
-4, 1, 3/2
Factor -16/5 + 34/15*u**2 - 14/15*u.
2*(u + 1)*(17*u - 24)/15
Let b(z) be the second derivative of -z**5/90 + z**4/9 - 4*z**3/9 + 4*z**2 + 4*z. Let n(a) be the first derivative of b(a). Determine w so that n(w) = 0.
2
Suppose -2*y + 6 + 1 = 3*o, 5*y = 3*o - 14. Suppose -9 = o*i - 6*i. Solve -6*j**2 + j**4 + 3*j**i + j**4 - 4 - j**3 - 10*j + 0 = 0.
-1, 2
Let o(h) = 5*h - 4. Let v be o(4). Suppose 0*i - v = -4*i. Determine n, given that -12*n**3 + 2*n**2 - 4*n**i - 8*n - 14*n**2 + 4*n = 0.
-1, 0
Determine r so that -341/3*r**3 - 16/3 + 343/6*r**4 + 182/3*r**2 + 28/3*r - 49/6*r**5 = 0.
-2/7, 2/7, 1, 2, 4
Factor -1/3*a**4 + 97556/3*a - 707281/3 - 1682*a**2 + 116/3*a**3.
-(a - 29)**4/3
Suppose -45*p - 36 = -216. Let b(o) be the first derivative of 0*o**2 + 3/2*o**p + 6 + 0*o + o**3 + 3/5*o**5. Factor b(z).
3*z**2*(z + 1)**2
Let f = 26 + -14. Factor -6*v - f*v**2 - 28*v + 15 - 3*v**2 - 6*v.
-5*(v + 3)*(3*v - 1)
Let c(t) = 5 + 1 - 12*t**2 + 9*t**2 - 6*t. Let b(n) = n**2 - n - 1. Let l(f) = -6*b(f) - c(f). Factor l(a).
-3*a*(a - 4)
Let g(f) be the third derivative of f**7/13860 + f**6/1980 + f**5/660 + 47*f**4/24 + 5*f**2. Let z(j) be the second derivative of g(j). Factor z(r).
2*(r + 1)**2/11
Solve 86/5*n**2 - 782/5*n - 3174/5 - 2/5*n**3 = 0.
-3, 23
Factor 382*a**3 - 1000*a - 625 - 462*a**3 - 2*a**4 - 3*a**4 - 450*a**2.
-5*(a + 1)*(a + 5)**3
Let y be ((-8)/10)/(12/90). Let m = y - -6. Suppose m*n**2 - 2*n - n + n**2 + 2*n**2 = 0. Calculate n.
0, 1
Solve 0 + 74/19*c**3 + 8/19*c**5 + 54/19*c**4 - 10/19*c + 18/19*c**2 = 0.
-5, -1, 0, 1/4
Let v(q) = -9*q**2 - 8*q + 5. Let m(l) = 8*l**2 + 8*l - 4. Let p(r) = 5*m(r) + 4*v(r). Factor p(h).
4*h*(h + 2)
Let p = 7760 + -7758. Let 1/2*g**p + 3/2*g**4 + 0 - 1/2*g + 5/2*g**3 = 0. Calculate g.
-1, 0, 1/3
Let u = 12692 - 12690. Factor 3/8*y - 9/8*y**u - 3/2*y**3 + 0.
-3*y*(y + 1)*(4*y - 1)/8
Let o(p) be the first derivative of 0*p**3 - 1/20*p**4 + 6/5*p - 19 + 7/10*p**2. Factor o(k).
-(k - 3)*(k + 1)*(k + 2)/5
Solve 640 - 35/2*n**4 + 640*n + 200*n**3 - 720*n**2 = 0.
-4/7, 4
Let h = 29457/16 - 1841. Let j(a) be the second derivative of 1/24*a**3 + 0 - h*a**4 + 0*a**2 + 6*a. Factor j(q).
-q*(3*q - 1)/4
Suppose -3*a - 90 = -6. Let t be a/6*18/(-12) - 4. Factor 1/4*l**4 - 1/8*l**5 + 0 + 0*l + 0*l**2 - 1/8*l**t.
-l**3*(l - 1)**2/8
Suppose 70 = -4*o - 4*s - 82, 4*s = -3*o - 116. Let y be (-6)/o*(-9)/(-3). Find f such that 0 - 1/2*f**3 + 1/2*f**2 + 0*f - 1/2*f**4 + y*f**5 = 0.
-1, 0, 1
Suppose 0 = 2*d + 4*d - 612. Factor 0 + 5*g - 46*g**2 + g**3 + d*g**2 + 2 - 52*g**2.
(g + 1)**2*(g + 2)
Let u(v) be the first derivative of -v**3/8 + 153*v**2/16 - 75*v/4 + 296. Suppose u(q) = 0. Calculate q.
1, 50
Suppose -a = -1 - 1. Factor z**3 + z - 4*z + a*z**3.
3*z*(z - 1)*(z + 1)
Let w be (3/2)/((-3)/4). Let l(v) = v**3 + 2*v**2 + 2. Let h be l(w). What is t in -h*t + 10*t**3 - 9*t**3 + t = 0?
-1, 0, 1
Let z = 6107/4074 - -2/2037. Solve -z*y**2 + 1/2*y**3 + 3/2*y - 1/2 = 0.
1
Let t(f) = -4*f + 6. Let d be t(0). Let r be 3*(-5)/(-3) + (3 - d). Factor -4/5 - 2/5*p**3 + 0*p**r + 6/5*p.
-2*(p - 1)**2*(p + 2)/5
Let s be (48/(-15) + 4)/(4/10). Suppose u = -53 + 57. Factor j - j**3 - 7/2*j**u + 7/2*j**s + 0.
-j*(j - 1)*(j + 1)*(7*j + 2)/2
Let p(y) = -y**3 - y**2 - y - 2. Let z be p(0). Let f be 3 + (-1 - z) + 0. Determine l so that -9*l**4 + 5*l**f + 2*l**5 - 3*l**5 - 3*l**5 = 0.
-1, 0
Let q be ((-704)/66)/(2/(-15)). Let w = 84 - q. What is b in -3/2*b**5 - 3/2 - 15/2*b - 15/2*b**w - 15*b**2 - 15*b**3 = 0?
-1
Let d(j) = 5*j + 3. Let y be d(1). Factor 13*m - 7*m - y*m - 2*m**5 + 4*m**3.
-2*m*(m - 1)**2*(m + 1)**2
Let p(a) be the second derivative of -1/45*a**6 + 9*a + 0 + 4/9*a**3 + 0*a**4 + 0*a**2 - 1/10*a**5. What is f in p(f) = 0?
-2, 0, 1
Let j(s) be the second derivative of -s**5/20 - s**4/12 - s**3/3 - s**2/2 + s. Let n be j(-1). Factor 11 - 3*d**2 - d - 4 - n + 4*d.
-3*(d - 2)*(d + 1)
Let k be (-2)/4*((-280)/63)/20. Factor 0*f + 1/3*f**3 + k*f**4 + 2/9*f**2 + 0.
f**2*(f + 1)*(f + 2)/9
Factor -1/12*m**2 + 3/4*m - 2/3.
-(m - 8)*(m - 1)/12
Factor 1480*k**2 - 12*k**3 + k**3 - k**4 - 1470*k**2 + 2*k**4.
k**2*(k - 10)*(k - 1)
Let h(g) be the third derivative of -g**8/30240 + g**7/11340 + g**4/3 + 8*g**2. Let k(w) be the second derivative of h(w). Let k(u) = 0. What is u?
0, 1
Let o(g) be the first derivative of 2/5*g + 3 + 1/5*g**2 - 2/15*g**3 - 1/10*g**4. Factor o(p).
-2*(p - 1)*(p + 1)**2/5
Let f be (0 - -2 - (-476)/(-224)) + (-119)/(-56). Factor 0 - 5/4*k + 5/4*k**f.
5*k*(k - 1)/4
Factor -179 - 145 + 75*g**2 - 144*g + 9*g**3 + 384.
3*(g - 1)*(g + 10)*(3*g - 2)
Let r(m) be the second derivative of m**6/90 + m**5/15 - 4*m**3 - 19*m. Let j(n) be the second derivative of r(n). What is z in j(z) = 0?
-2, 0
Let g be (17 + -9 - 13) + -2 + 9. Suppose -1/3 - 6*t**g + 0*t**3 + 9*t**4 - 8/3*t = 0. Calculate t.
-1/3, 1
Let h = 18 - 13. Let v = 8 - h. Factor p - 3*p - 3*p**v + 3*p + 6*p**2 - 4*p.
-3*p*(p - 1)**2
Let a = -50 + 70. Factor 43 - 5*f**2 + 7 - a*f + 7*f**2.
2*(f - 5)**2
Let -22/15*j**4 + 36/5*j**3 + 52/15*j + 2/5 - 48/5*j**2 = 0. What is j?
-1/11, 1, 3
Let k(u) be the third derivative of -1/210*u**7 - 1/12*u**4 + 0 + 0*u**3 + 1/60*u**6 + 1/60*u**5 + 0*u - 12*u**2. Determine a, given that k(a) = 0.
-1, 0, 1, 2
Let g be -1*21/12*-52. Suppose -99*w = -g*w. Factor -2*z**3 + 32/7*z**5 + w + 0*z - 2/7*z**2 - 16/7*z**4.
2*z**2*(z - 1)*(4*z + 1)**2/7
Suppose 2*g - 1 + 5 = 0, 2*n - 2*g + 92 = 0. Let l be n/(-30)*(-10)/(-4). Factor l*h**3 - 6*h**3 + 12 - 9*h**2 - h**3.
-3*(h - 1)*(h + 2)**2
Let p(b) = 100*b**2 + 25 + 3*b**3 + 16*b - 101*b**2 + 14. Let v(u) = u**3 - u**2 + 8*u + 19. Let y(n) = 3*p(n) - 7*v(n). Factor y(h).
2*(h - 2)*(h + 2)**2
Suppose 2*w = -2*w + m + 4, 5*m + 20 = -3*w. Let 7*t**2 + 4*t**3 - 13*t - 3*t**2 - 11*t + w*t**2 = 0. What is t?
-3, 0, 2
Let v(k) be the third derivative of 9*k**7/70 - 5*k**6/8 - 3*k**5/10 - 3*k**2 + 2. Find n, given that v(n) = 0.
-2/9, 0, 3
Suppose -7 = -h - 4. Let p(d) = d**2 + 2. Let w be p(0). What is r in -2*r**4 + 0*r**3 - 2*r + w*r**h + r**4 + r**2 + 0*r**4 = 0?
-1, 0, 1, 2
Suppose 47*x**2 + 10*x**3 + 2*x**4 - 4*x**3 - 55*x**2 - 24*x = 0. What is x?
-3, -2, 0, 2
Factor -1/3*w - 2 + 1/9*w**2.
(w - 6)*(w + 3)/9
Suppose h - 7 + 3 = 0. Suppose -4*x + 8*x = -k + 19, 2*x = -h*k + 20. Factor -2*c**3 + 4*c**k + 4*c - 3*c - c**3 + 2*c**2.
c*(c + 1)**2
Let z be (-1 + 1)/(15/(25/5)). Let c = -19 + 22. Factor 8/3*a**5 + z*a + 2/3*a**4 + 0*a**2 - 1/3*a**c + 0.
a**3*(2*a + 1)*(4*a - 1)/3
Let n(v) = -v**2 + 5*v + 5. Let o be n(-5). Let p be (6/15)/((-63)/o). Factor 2/7*j**3 + p*j**4 - 8/7*j**2 - 1/7*j**5 - 2/7 + j.
-(j - 1)**4*(j + 2)/7
Suppose l + 38 = 3*l. Suppose p - 26 = -5*h + l, -3*p + 103 = -h. Factor -37*z + p*z + z**4 + 1 - 1 - 3*z**2.
z*(z - 2)*(z + 1)**2
Let d(c) be the third derivative of 19*c**2 + 0 + 0*c**3 + 0*c - 1/1020*c**6 - 4/51*c**4 - 4/255*c**5. Solve d(r) = 0.
-4, 0
Let i = -32698/3 + 10900. Solve -4/3 + i*m**3 - 2*m**2 - 10/3*m + 2/3*m**4 = 0.
-1, 2
Suppose