n that o(v) = 0.
0, 2/7, 1
Let k(g) be the third derivative of -g**5/10 - 2111*g**4/24 + 176*g**3/3 - 9262*g**2. Solve k(c) = 0.
-352, 1/6
Find a, given that 786/17*a**2 + 2/17*a**4 - 2990/17*a + 2116/17 + 86/17*a**3 = 0.
-23, 1, 2
Determine a so that 1/4*a**3 - 3/2*a**2 + 5/4*a + 3 = 0.
-1, 3, 4
Find m, given that -4*m**3 - 72*m - 37*m**2 + m**3 + m**2 + 6*m**2 = 0.
-6, -4, 0
Factor 19*c**2 + 176 - 210*c + 20*c**2 - 37*c**2 + 236.
2*(c - 103)*(c - 2)
Let r(d) be the first derivative of -d**5/10 + 4*d**4 + 17*d**3 + 26*d**2 + 35*d/2 + 179. Factor r(a).
-(a - 35)*(a + 1)**3/2
Let w(z) be the first derivative of -2*z**3/3 - 27*z**2/2 - 13*z + 2575. Factor w(m).
-(m + 13)*(2*m + 1)
Let h be (200/(-120))/((-3)/(-9)) - -10. Let n(k) be the first derivative of h*k**3 + 0*k - 31 - 5/4*k**4 + 10*k**2. What is j in n(j) = 0?
-1, 0, 4
Let o be ((-10)/(-4) + -1)/((-21)/(-140)). Let r be 2 + 3/(-2) - 1/o. Factor 4/5*g**3 + 0 + 2/5*g**4 + r*g**2 + 0*g.
2*g**2*(g + 1)**2/5
Solve 0 + 2/3*x**4 + 32*x**3 - 252*x - 662/3*x**2 = 0.
-54, -1, 0, 7
Let h(u) be the first derivative of -1/2*u**4 + 43 - 72*u - 20/3*u**3 - 33*u**2. Determine v, given that h(v) = 0.
-4, -3
Let s(q) = -25 - 47 + 3*q + 0 - 4 + 135. Let k be s(-18). Determine v, given that -5*v**3 + k*v**5 + 5/4*v**2 + 0 + 0*v - 5/4*v**4 = 0.
-1, 0, 1/4, 1
Let v = -35792/3 + 11932. Factor -4/3*w**3 + w**2 + v*w - 4/3 + 1/3*w**4.
(w - 2)**2*(w - 1)*(w + 1)/3
Let n = -752 - -783. Let t be (-496)/n*(-26)/28. Determine l, given that -t*l**4 + 0*l**2 + 0*l + 0 - 338/7*l**5 - 8/7*l**3 = 0.
-2/13, 0
Let d(j) be the third derivative of j**5/150 + 7*j**4/3 + 980*j**3/3 + 900*j**2. Determine y, given that d(y) = 0.
-70
Let k(n) = -n**2 + 1. Let l(u) be the second derivative of 0*u**3 - 5/6*u**4 + 1/10*u**5 + 8*u + 0 + 3*u**2. Let x(d) = -6*k(d) + l(d). Factor x(i).
2*i**2*(i - 2)
Let o be (7/(-49)*3)/((-12)/(-336)*-18). Let s(c) be the first derivative of -15 - 12*c - o*c**3 + 5*c**2. Factor s(k).
-2*(k - 3)*(k - 2)
Let j be (0 + (1 - -6))/(32/160). Let c be (-1)/(-10*14/j). Factor c*m**2 - 7/8*m - 5/8*m**4 + 3/4*m**3 + 1/8*m**5 + 3/8.
(m - 3)*(m - 1)**3*(m + 1)/8
Factor 1/7*q**2 + 73/7*q + 276/7.
(q + 4)*(q + 69)/7
Let o be (-9 - -8) + 2 + (1 - 0). Determine g so that -9*g + 3*g - 4*g**o + 8*g + 80 + 2*g = 0.
-4, 5
Let v(x) be the second derivative of x**5/110 + x**4/3 - 1519*x**3/33 - 38440*x**2/11 - 5899*x. Factor v(i).
2*(i - 40)*(i + 31)**2/11
Let v(s) be the first derivative of s**3/12 - 53*s**2/4 + 1045*s/4 + 14725. Factor v(u).
(u - 95)*(u - 11)/4
Let g(z) be the first derivative of z**7/21 - 2*z**5/5 - z**4/3 + z**3 + 2*z**2 - 5*z + 98. Let t(f) be the first derivative of g(f). Solve t(r) = 0 for r.
-1, 1, 2
Let m = -4 - -7. Suppose -b - v - 4*v + 2 = 0, 4*b + m*v = 8. Factor -16 - y + 4 + 4*y**b - 7*y.
4*(y - 3)*(y + 1)
Let n = 11/7 + -71/63. Let s(x) = 3*x + 45. Let c be s(-14). Factor -2/9*b**c - n*b**2 + 4/9 + 2/9*b.
-2*(b - 1)*(b + 1)*(b + 2)/9
Let a(z) be the second derivative of -z**8/560 + z**6/40 + z**5/20 + 20*z**3 - 52*z. Let g(s) be the second derivative of a(s). Factor g(b).
-3*b*(b - 2)*(b + 1)**2
Suppose -4*k + 41 = -7. Suppose -k + 6 = -2*o. Factor 3*c**o - 5*c**3 - 4*c**2 + 6*c**3.
4*c**2*(c - 1)
Let u = 1246147/5 + -249229. Factor -24/5 + 24/5*k**2 + u*k - 2/5*k**3.
-2*(k - 12)*(k - 1)*(k + 1)/5
Solve 107*l**2 - 53*l**2 - 162019 + 30506 - 58*l**2 - 2056*l - 132683 = 0 for l.
-257
Let b(r) = r**2 - 62*r - 65. Let t(k) = -6*k**2 + 309*k + 326. Let u(z) = -33*b(z) - 6*t(z). Solve u(v) = 0.
-63, -1
Let s(r) be the third derivative of 0*r + 0 + 0*r**3 + 231*r**2 + 1/170*r**5 + 1/1020*r**6 + 0*r**4. Factor s(y).
2*y**2*(y + 3)/17
Let q(z) be the third derivative of 4*z**3 - 22*z**2 + 0*z + 1 - 11/12*z**4 - 1/30*z**5. Let q(h) = 0. Calculate h.
-12, 1
Let q be 2 - (-80)/(-45) - ((-12397)/(-207) - 60). Determine z, given that -4*z - 32/3 - q*z**2 = 0.
-8, -4
Let q be 35/10 - ((-24)/(-3))/(-16). Let i(p) be the first derivative of 10 - 9/4*p**4 - q*p**3 - 2*p**2 + 0*p. Factor i(c).
-c*(3*c + 2)**2
Factor -2/3 + 14/3*c + 2/3*c**2 - 14/3*c**3.
-2*(c - 1)*(c + 1)*(7*c - 1)/3
Let y(z) be the first derivative of z**4/18 - 92*z**3/27 + 704*z**2/9 - 7168*z/9 - 524. Determine w, given that y(w) = 0.
14, 16
Suppose 17/3*g - 38/3 + 1/3*g**2 = 0. Calculate g.
-19, 2
Let x(w) be the second derivative of 0*w**2 + 0*w**4 + 0 - 1/6*w**3 + 77*w + 1/80*w**5. Factor x(l).
l*(l - 2)*(l + 2)/4
Let f(m) be the third derivative of -m**6/60 + 6*m**5/5 - 41*m**4/4 - 160*m**3/3 + m**2 + 2157*m. Suppose f(v) = 0. Calculate v.
-1, 5, 32
Suppose 4*w - 3*d - 122 = -d, -5*w + d = -145. Let l(c) = 5*c - 137. Let k be l(w). Suppose 3/5*j**2 + 0*j**k - 2/5*j - 1/5*j**4 + 0 = 0. What is j?
-2, 0, 1
Let x(p) be the third derivative of p**5/110 - 29*p**4/132 + 56*p**3/33 + 2835*p**2. Determine u so that x(u) = 0.
8/3, 7
Let c(u) = -3*u. Let h(z) = 4*z - 1. Let y(o) = 3*c(o) + 2*h(o). Let w be y(-4). Factor -k**2 - 18 - 18*k - k**2 - 9 - k**w.
-3*(k + 3)**2
Let t be (-375)/10*(40/(-5) - 2). Factor -32453 + 4037*y - 45672 + 5*y**3 + 5338*y - t*y**2.
5*(y - 25)**3
Let k(x) be the third derivative of x**8/3360 - x**7/315 + 49*x**4/24 - 16*x**2. Let b(q) be the second derivative of k(q). What is n in b(n) = 0?
0, 4
Let k(s) = s**2 - 2*s + 31. Let r be k(-5). Factor -316*i**2 + 2916*i - 2187 + 415*i**4 - 494*i**2 + r*i**3 + 18*i**3 - 418*i**4.
-3*(i - 9)**3*(i - 1)
Let v(h) be the second derivative of h**8/336 - h**7/105 + h**6/120 - 37*h**2 + 2*h + 2. Let b(l) be the first derivative of v(l). Factor b(g).
g**3*(g - 1)**2
Let m(a) be the first derivative of -a**4/8 - 9*a**3 + 111*a**2/4 - 28*a - 2531. Find h such that m(h) = 0.
-56, 1
Let p(x) be the third derivative of -2*x**5/15 + 155*x**4/6 + 158*x**3 - 2*x**2 + 1453*x. Solve p(c) = 0.
-3/2, 79
Let w(g) = 39*g**3 - 171*g**2 + 465*g - 315. Suppose 0 = 10*k - 18 - 32. Let v(u) = -11*u**3 + 49*u**2 - 133*u + 90. Let p(f) = k*w(f) + 18*v(f). Factor p(s).
-3*(s - 5)*(s - 3)*(s - 1)
Let i = 9664/3 + -3216. Let u(y) be the first derivative of -6 + 4/3*y**3 + 4*y**2 + i*y + 1/6*y**4. Let u(d) = 0. What is d?
-2
Suppose -m = 24*q - 20*q - 7, q + 2*m = -14. Let h = 407/5 + -81. Factor 2/5*y**3 - h*y + 2/5*y**q + 0 - 2/5*y**2.
2*y*(y - 1)*(y + 1)**2/5
Let y be -12*(1288/69 - 19). Let g(t) be the second derivative of 0*t**2 + 3/20*t**5 + 0 + 0*t**3 - 1/14*t**7 - 1/4*t**y + 1/10*t**6 - 27*t. Factor g(m).
-3*m**2*(m - 1)**2*(m + 1)
Let y be ((-30)/7 - -4) + (-87208)/(-7). Suppose -6*g - 1844 = -y. Factor -s**3 - 12*s**2 + 12 - g*s - 3*s**3 + 1773*s.
-4*(s - 1)*(s + 1)*(s + 3)
Suppose -5*x + 5*c + 334 - 84 = 0, -160 = -3*x + 5*c. Solve -85 - 270*l**2 + x*l**2 + 209 + 120*l**3 - 40 + 21*l**4 - 240*l = 0 for l.
-7, -1, 2/7, 2
Let v(d) be the third derivative of -d**8/13440 + d**7/5040 + d**6/720 + 7*d**4/2 - 2*d**2 + 26*d. Let o(k) be the second derivative of v(k). Factor o(q).
-q*(q - 2)*(q + 1)/2
Let q(m) be the second derivative of -24 + 0*m**5 - 1/63*m**7 + 0*m**3 - 2/9*m**4 + 0*m**2 - 5*m + 1/15*m**6. Factor q(k).
-2*k**2*(k - 2)**2*(k + 1)/3
Let z(c) = -1470*c - 8818. Let n be z(-6). Factor 225/4*p**n + 4 - 30*p.
(15*p - 4)**2/4
Let o be (6/(-13))/(16317/546 + -30). Let x(f) be the first derivative of -1/11*f**2 - 2/11*f + 33 + 2/33*f**3 + 1/22*f**o. Find n such that x(n) = 0.
-1, 1
Suppose -66 = 9*v - 3. Let y(o) = o + 40. Let s be y(v). Factor -19*n**4 - 6*n**3 - 3*n**5 + s*n**4 - 23*n**4.
-3*n**3*(n + 1)*(n + 2)
Let w(m) be the third derivative of 2*m**7/105 + m**6/5 + m**5/3 - 4*m**4 - 24*m**3 - 3116*m**2. Determine v, given that w(v) = 0.
-3, -2, 2
Let i(y) = 10*y**4 - 6*y**3 - 172*y**2 - 120*y + 256. Let b(j) = -7*j**4 + 4*j**3 + 115*j**2 + 78*j - 170. Let a(v) = -8*b(v) - 5*i(v). Let a(c) = 0. What is c?
-2, 1, 10/3
Let v(q) be the third derivative of -q**6/720 - 41*q**5/360 + 85*q**4/144 - 43*q**3/36 + 4*q**2 - 7. Determine t so that v(t) = 0.
-43, 1
Let l(h) = -2 - 2*h**2 + 10 + 2*h**3 - 5 - 8*h. Let f be l(6). Factor f - 15 + 45*g + 15*g - 6*g**2 + 9*g**2.
3*(g + 10)**2
Let p(z) be the first derivative of 46 - 5*z**2 + 35/3*z**3 + 0*z. What is i in p(i) = 0?
0, 2/7
Let z be -1 - 889/(-15) - -21*28/(-882). Factor 4/5*d**4 - 48/5*d**3 + 212/5*d**2 - 408/5*d + z.
4*(d - 4)*(d - 3)**2*(