7 - 2*w**2 = 0.
129
Let j(w) be the second derivative of w**7/315 - 11*w**5/150 - w**4/5 - 8*w**3/45 - 2*w + 46. Find t such that j(t) = 0.
-2, -1, 0, 4
Let y be (-3 - -1)/2 + (-18 - (-2820)/140). Solve y*v**2 - 2/7*v - 2/7*v**5 - 4/7*v**4 - 4/7 + 4/7*v**3 = 0 for v.
-2, -1, 1
Let k(z) be the second derivative of -z**5/20 + 5*z**4/12 - 10*z + 1. Determine r so that k(r) = 0.
0, 5
Let t(d) be the second derivative of -d**6/60 - 5*d**5/8 - 11*d**4/4 + d**3/3 + 22*d**2 + 740*d. Factor t(p).
-(p - 1)*(p + 2)**2*(p + 22)/2
Let d(u) be the first derivative of -u**6/18 - 2*u**5/15 - u**4/12 - 43. Factor d(m).
-m**3*(m + 1)**2/3
Find v such that -8*v**4 + 2*v**5 + 15*v**2 - 12*v**5 - 10*v**3 + 8*v**5 - 19*v**2 = 0.
-2, -1, 0
Factor 0 - 3/5*j**3 - 57/5*j**2 + 126/5*j.
-3*j*(j - 2)*(j + 21)/5
Let t be (-32)/24*162/(-16). Factor 0 + 3/2*p**4 + 0*p + t*p**2 + 9*p**3.
3*p**2*(p + 3)**2/2
Let m = 227 + -224. Let q(n) be the second derivative of -2/21*n**m + 1/105*n**6 + 0 + 0*n**5 - 1/14*n**4 - 4*n + 0*n**2. Solve q(k) = 0 for k.
-1, 0, 2
Let a(s) = -s**3 - 5*s**2 - 4*s + 2. Let t be a(-4). Factor 7*l**2 - 5*l**3 - 6*l**t + 15*l + 9*l**2.
-5*l*(l - 3)*(l + 1)
Let h be (2 + -1)/(-1)*-9. Let o be 15/h + 2/6. Determine n so that -3*n**2 - 2*n**2 + 7*n**2 + 0*n**o = 0.
0
Let t(d) be the second derivative of 2/3*d**4 - 6*d**2 + 0 + 26*d + 10/3*d**3. Suppose t(i) = 0. Calculate i.
-3, 1/2
Factor 2/17*b**3 + 22/17*b**2 - 2/17*b - 22/17.
2*(b - 1)*(b + 1)*(b + 11)/17
Let m be 0/(8/4 + 2). What is c in 8/5*c**2 + 4/5*c**4 + 2/5*c + m + 2*c**3 = 0?
-1, -1/2, 0
Let i = -52649/3 + 17550. Let 1/3*l**3 - 1/3 - i*l + 1/3*l**2 = 0. What is l?
-1, 1
Let s be -7 + 4 - (7 + -1)/(-2). Suppose -3*p**3 - 60*p**4 + 57*p**4 + s*p**3 = 0. Calculate p.
-1, 0
Solve -4 + 2/7*g**2 - 26/7*g = 0.
-1, 14
Let t(f) be the first derivative of f**5/35 - f**4/14 - 88. Factor t(y).
y**3*(y - 2)/7
Let z(d) = 3*d**2 + 2*d - 2. Let k be z(-3). Let h be (-4)/(-16)*(1 + k). Factor 11*j**4 - h*j**3 - 6*j**2 - 3*j**5 + 3*j + 5*j**3 - 5*j**4.
-3*j*(j - 1)**3*(j + 1)
Let a = -15605/9 - -1734. Let i(q) be the second derivative of 0*q**2 + 1/9*q**3 + 8*q + 0*q**5 - 1/63*q**7 + 0 - a*q**4 + 2/45*q**6. Factor i(x).
-2*x*(x - 1)**3*(x + 1)/3
Let t be (-4)/54 + -7*(-4)/378. Factor 0 - 3/7*d**4 + 9/7*d**2 + t*d**3 - 6/7*d.
-3*d*(d - 1)**2*(d + 2)/7
Let p(a) be the second derivative of -a**6/165 + a**5/110 + a**4/11 - 4*a**3/33 - 8*a**2/11 - 59*a. Find k, given that p(k) = 0.
-2, -1, 2
Let j(i) = i**2 - 2*i + 15. Let w be j(4). Suppose -w*u + 14*u + 9 = 0. Determine q so that u - q**3 + 5/2*q + 1/2*q**2 = 0.
-1, -1/2, 2
Let r(k) be the first derivative of k**6/15 + 4*k**5/25 - 13*k**4/10 - 76*k**3/15 - 24*k**2/5 + 147. Find x such that r(x) = 0.
-3, -2, -1, 0, 4
Let s(d) = d**3 + 78*d**2 + 1442*d - 3202. Let z(f) = -f + 1. Let a(l) = s(l) + 2*z(l). Let a(v) = 0. What is v?
-40, 2
Factor -228*p**4 + 21581 - 4*p**5 + 5855 + 5238*p - 27208*p**2 - 4328*p**3 - 906*p.
-4*(p - 1)*(p + 1)*(p + 19)**3
Let q(o) = o**2 - 13*o - 14. Let x be q(14). Let b(g) be the second derivative of 1/90*g**6 + x*g**3 + 1/30*g**5 - 6*g + 0 + 0*g**4 + 0*g**2. Factor b(k).
k**3*(k + 2)/3
Suppose -8 = g - 5*g. Suppose -1 + 7 = g*p. Let -10*m**p - m**4 - m**2 - 3*m**2 + 10*m**5 + 5*m**4 = 0. What is m?
-1, -2/5, 0, 1
Let i(s) be the third derivative of 0 - 1/240*s**6 + 1/8*s**4 + 19*s**2 + 0*s + 1/24*s**5 + 0*s**3. Factor i(r).
-r*(r - 6)*(r + 1)/2
Let f(y) be the third derivative of y**5/390 + 3*y**4/13 + 108*y**3/13 - y**2 + 63. Let f(z) = 0. What is z?
-18
Let g(m) be the third derivative of -m**8/56 - 9*m**7/70 - 5*m**6/64 + 27*m**5/160 - m**4/16 - 3*m**2 - 14*m. Suppose g(x) = 0. What is x?
-4, -1, 0, 1/4
Suppose 0 = -4*g - 4*p - 4, 2*g + 66*p - 2 = 65*p. Suppose -16/3*x**2 - 8/3 + 4/3*x**g + 20/3*x = 0. Calculate x.
1, 2
Let k(m) be the first derivative of 4*m**3/3 - 12*m**2 - 160*m - 63. Factor k(v).
4*(v - 10)*(v + 4)
Let q(z) be the third derivative of -z**6/960 + z**5/160 - z**4/96 - 47*z**2. Let q(s) = 0. What is s?
0, 1, 2
Let c(y) = 3*y - 17. Let k be c(14). Suppose -2*r**3 + 46*r - 19*r - k*r - r**4 + 1 = 0. What is r?
-1, 1
Let l(w) be the second derivative of w**5/20 - w**4/2 + 3*w**2/2 - 5*w. Let v be l(6). Let 2*d**2 + 2*d**2 - d**3 - v*d**2 + 0*d**2 = 0. What is d?
0, 1
Let l(m) = -14*m**2 - 17*m. Suppose -5*v + 17 = -2*w, 0*w + v = w + 1. Let c(z) = -5*z**2 - 6*z. Let u(s) = w*l(s) - 11*c(s). Suppose u(k) = 0. What is k?
-2, 0
Factor 4*j**4 + 0*j**4 + 772*j**2 - 213*j - 108*j**3 - 97*j - 1352 - 158*j.
4*(j - 13)**2*(j - 2)*(j + 1)
Let x = -1508 - -1510. Let c(d) be the first derivative of -2/27*d**3 - 2/9*d**x - 7 - 2/9*d. Suppose c(j) = 0. Calculate j.
-1
Let j(p) be the third derivative of 2*p**7/945 - 13*p**6/270 - p**5/9 + 13*p**4/54 + 28*p**3/27 - p**2 + 24. Solve j(n) = 0 for n.
-1, 1, 14
Let n(y) be the second derivative of -y**7/231 + 12*y**6/55 + 7*y**5/5 + 118*y**4/33 + 53*y**3/11 + 40*y**2/11 - y - 40. What is r in n(r) = 0?
-1, 40
Let r be ((0 - 1) + -2)*308/(-1617). Solve -r + 2/7*y**2 + 2/7*y = 0 for y.
-2, 1
Let r = -26645/12 + 2222. Let j = 9/4 - r. Let -2/3*o - 2/9*o**2 - 2/9*o**4 + 4/9 + j*o**3 = 0. What is o?
-1, 1, 2
Determine i, given that 1250*i**5 + 792*i + 321*i - 5750*i**4 - 121*i - 3920*i**2 + 7200*i**3 - 96 = 0.
2/5, 3
Let y = 2/489 - 1012/8313. Let b = 29/102 + y. Suppose -1/3*r + b*r**2 + 0 = 0. Calculate r.
0, 2
Let g(j) be the third derivative of j**8/112 - 17*j**7/1008 + j**6/72 - 3*j**5/10 + 19*j**2. Let s(a) be the third derivative of g(a). Factor s(t).
5*(4*t - 1)*(9*t - 2)
Factor 0 + 15/2*w + 1/4*w**4 + 3/2*w**3 - 37/4*w**2.
w*(w - 3)*(w - 1)*(w + 10)/4
Suppose -81/7*p**5 + 34656/7 + 6318/7*p**4 - 157776/7*p + 242160/7*p**2 - 129384/7*p**3 = 0. What is p?
2/3, 38
Let r be (-7 - 36/(-6))/((-1)/(-307)). Let o = r - -1231/4. What is k in o + 0*k - 3/4*k**2 = 0?
-1, 1
Let 20*g**4 - 24 + 5*g**5 - 45*g**2 + 15*g**2 + 24 + 5*g**3 + 0*g**5 = 0. Calculate g.
-3, -2, 0, 1
Factor -36/11*h**2 - 16 + 2/11*h**3 - 168/11*h.
2*(h - 22)*(h + 2)**2/11
Suppose 8*v - 407 = -391. Factor 0 + 2/3*o + o**v + 1/3*o**3.
o*(o + 1)*(o + 2)/3
Let q(d) = -2*d**3 + 52*d**2 - 116*d + 42. Let m(t) = -6*t**3 + 157*t**2 - 347*t + 128. Let o(u) = 6*m(u) - 17*q(u). Factor o(z).
-2*(z - 27)*(z - 1)**2
Let f be (50/6)/(2/(-6)). Let d = 25 + f. Factor 2*z**3 + 6 - 6 + 2*z**4 - 2*z + d*z - 2*z**2.
2*z*(z - 1)*(z + 1)**2
Let m(b) be the second derivative of b**6/540 - b**5/270 - b**4/54 + 2*b**2 - 13*b. Let g(w) be the first derivative of m(w). Factor g(x).
2*x*(x - 2)*(x + 1)/9
Suppose -4*x - 3*x = -56. Find d, given that -6*d**3 - d**4 - x*d**3 + 2*d**4 + 16*d**3 = 0.
-2, 0
Let r(p) = -p**3 - 2*p**2 + 2*p. Let j be r(-3). Factor 24*n**2 + 32*n + 304*n**j + 0*n**4 + 16 - 296*n**3 + n**4.
(n + 2)**4
Factor 2924*k - 63 + 711 + 3*k**2 + 33*k**2.
4*(k + 81)*(9*k + 2)
Let o(a) = 8*a**2 + 16*a - 4. Let k(i) be the second derivative of 7*i**4/12 + 5*i**3/2 - 3*i**2/2 + 9*i. Let l(d) = -4*k(d) + 3*o(d). Factor l(b).
-4*b*(b + 3)
Let z(w) be the second derivative of w**6/105 + 3*w**5/70 - w**4/21 - 4*w**3/7 - 8*w**2/7 + 2*w - 2. Factor z(o).
2*(o - 2)*(o + 1)*(o + 2)**2/7
Let t(s) = 3*s**2 - 24*s - 10. Let o be t(15). Let x = o - 2129/7. Factor x*p + 2/7*p**2 + 4/7.
2*(p + 1)*(p + 2)/7
Let b be ((-4)/16*-6)/(2/(-44)). Let m be 10/(-15) + b/(-36). Solve -1/4*o**4 + m - 1/2*o + 0*o**2 + 1/2*o**3 = 0.
-1, 1
Let b be (-329)/(-705) - (-1)/(-5). Factor b*q + 2/15 + 2/15*q**2.
2*(q + 1)**2/15
Let w(t) be the second derivative of t**5/5 + 4*t**4 - 2*t**3/3 - 24*t**2 - t + 1. Solve w(y) = 0 for y.
-12, -1, 1
Factor 304*g**2 - 52*g**3 + 23 - 68*g**3 - 28*g**4 - 10 + 96*g - 13.
-4*g*(g - 2)*(g + 6)*(7*g + 2)
Let h(x) be the first derivative of -10/3*x**3 - 52 + 0*x + 5/4*x**4 + 5/2*x**2. Solve h(p) = 0 for p.
0, 1
Factor 1/4*w**3 + 0 + 121/4*w - 11/2*w**2.
w*(w - 11)**2/4
Suppose r + 7 = 2*r. Let z(j) = -3*j**2 + 22*j - 7. Let l be z(r). Suppose -2/9 + 2/9*s**2 + l*s = 0. Calculate s.
-1, 1
Solve 221 + 295 + 826*i - 250*i + 4*i**3 + 1788 + 256*i + 100*i**2 = 0 for i.
-9, -8
Let x = 299/1740 - 3/580. Factor 0 - x*l**3 + 0*l + 1/6*l**2.
-l**2*(l - 1)/6
Let m(r) be the third derivative of r**7/1050 - r**6/200 + r**5/150 + r**2 - 167*r. Determin