*q**3 = 0. What is q?
0, 25
Let u(a) be the second derivative of -3/2*a**3 - 3/10*a**6 + 1/14*a**7 - a + 30 + 1/2*a**4 + 3/10*a**5 + 3/2*a**2. Factor u(n).
3*(n - 1)**4*(n + 1)
Let c(g) = 5*g**2 - 32575*g + 55878250. Let x(d) = -5*d**2 + 32746*d - 55878249. Let m(k) = -4*c(k) - 5*x(k). Suppose m(s) = 0. Calculate s.
3343
Let r(g) be the second derivative of -1/180*g**6 - 1/12*g**2 + 0*g**5 - 77*g + 1/36*g**4 + 0*g**3 - 2. Find x, given that r(x) = 0.
-1, 1
Let g(x) be the first derivative of x**5/45 - 5*x**4/54 + 4*x**3/27 - x**2/9 + 94*x - 8. Let l(u) be the first derivative of g(u). Find n, given that l(n) = 0.
1/2, 1
Let z(j) be the first derivative of 3*j**6/2 - 219*j**5/5 - 635*j**4/4 - 349*j**3/3 - 27*j**2 - 3176. Solve z(h) = 0 for h.
-2, -1/3, 0, 27
Let u be 155/(-124) - (-2)/(8/13). Let v(a) be the first derivative of 15/4*a**u - 3/8*a**4 + 9/2*a + 1/2*a**3 - 8. Factor v(d).
-3*(d - 3)*(d + 1)**2/2
Let a(l) be the third derivative of l**7/630 + 7*l**6/360 + l**5/180 - 3*l**4/8 + l**3 + 205*l**2 - 2*l - 1. Factor a(y).
(y - 1)**2*(y + 3)*(y + 6)/3
Determine s, given that 56/3*s + 28/3*s**2 - 80 + 2/3*s**3 = 0.
-10, -6, 2
Let r(n) = 3*n**3 + 476*n**2 - 1445*n + 962. Let f(o) = -3*o**3 - 477*o**2 + 1446*o - 960. Let k(i) = 2*f(i) + 3*r(i). Determine b so that k(b) = 0.
-161, 1, 2
Let j(i) = -5*i**3 - 65*i**2 - 3*i - 1. Let r(y) = 4*y**3 + y**2 + 3*y + 1. Let p(a) = -3*j(a) - 3*r(a). Let p(x) = 0. Calculate x.
-64, 0
Let k = 1025 + -1018. Let a(r) be the second derivative of 0*r**3 + 0*r**2 + 11*r + 0*r**4 + 0 - 1/210*r**k - 1/75*r**6 - 1/100*r**5. Factor a(u).
-u**3*(u + 1)**2/5
Factor 224/3*r**4 + 1339415/3*r**2 + 64729/6*r**3 + 89480468/3 - 23822722/3*r + 1/6*r**5.
(r - 7)**2*(r + 154)**3/6
Factor 2399629 + 4356*c - 308*c**2 - 2399629 - 52*c**3 + 4*c**4.
4*c*(c - 11)**2*(c + 9)
Let j = 500986 - 500931. Factor -4/3*x**2 - 41/3 - j*x.
-(x + 41)*(4*x + 1)/3
Let r(a) be the second derivative of a**7/3780 + a**6/60 - 16*a**4 - 2*a + 80. Let o(d) be the third derivative of r(d). Factor o(x).
2*x*(x + 18)/3
Suppose -64 = -29*s + 72 + 9. Let n(t) be the second derivative of 0 - 1/21*t**4 - s*t - 1/21*t**3 + 0*t**2 - 1/70*t**5. Find l, given that n(l) = 0.
-1, 0
Let o(g) be the third derivative of g**6/48 + 149*g**5/24 + 28835*g**4/48 + 26645*g**3/4 + 1924*g**2. Factor o(h).
5*(h + 3)*(h + 73)**2/2
Suppose 37*u + 149*u - 3150 = 60*u. Let o(c) be the first derivative of 1/10*c**4 + 1/25*c**5 - u - 1/5*c**2 + 0*c - 1/15*c**3. Factor o(j).
j*(j - 1)*(j + 1)*(j + 2)/5
Let l = 2675/16068 + 1/5356. Let c(d) be the second derivative of 26*d + l*d**4 + 5*d**2 - 2*d**3 + 0. Solve c(a) = 0.
1, 5
Factor 2/21*r**3 - 166/21*r**2 + 640/21 + 472/21*r.
2*(r - 80)*(r - 4)*(r + 1)/21
Let k(y) be the second derivative of y**6/72 + 3*y**5/4 + 35*y**4/3 + y**3/2 + 10*y**2 + 3*y + 45. Let j(t) be the second derivative of k(t). Factor j(z).
5*(z + 4)*(z + 14)
Let k be 7/14*(-5 + -1224). Let s = 619 + k. Let 27*q**2 + s*q**3 + 0*q - 3/2*q**5 - 6*q**4 + 0 = 0. What is q?
-3, 0, 2
Let v be 3/(6/(-20)) + 110492/11040. Let m(n) be the second derivative of -29*n + 1/16*n**5 + 0 + v*n**6 + 1/6*n**4 + 1/6*n**3 + 0*n**2. Factor m(f).
f*(f + 1)*(f + 2)**2/4
Let w(o) = -o**2 - 29*o - 6. Let h(f) = -f**2 + 26*f + 4. Let x(z) = 3*h(z) + 2*w(z). Factor x(k).
-5*k*(k - 4)
Suppose 14*q = 175*q. Let r(a) be the second derivative of 24*a + 0 - 5/12*a**4 + 5/2*a**2 + q*a**3. Factor r(n).
-5*(n - 1)*(n + 1)
Let b(m) be the first derivative of -10*m**6/3 + 86*m**5/5 + 39*m**4/2 - 38*m**3/3 - 5*m**2 - 1141. Find l such that b(l) = 0.
-1, -1/5, 0, 1/2, 5
Let d(m) be the first derivative of 2*m**5/5 - 9*m**4/2 + 22*m**3/3 + 21*m**2 + 7181. Factor d(z).
2*z*(z - 7)*(z - 3)*(z + 1)
Let x(w) be the first derivative of 2*w**5/35 + w**4/14 - 6*w**3/7 - 9*w**2/7 - 522. Factor x(g).
2*g*(g - 3)*(g + 1)*(g + 3)/7
Let m be (-168)/126*18/4*(7 - 8). Factor -m + 58/5*d - 2/5*d**3 - 26/5*d**2.
-2*(d - 1)**2*(d + 15)/5
Let x(c) = 7*c + 106. Let l be x(-15). Let j(n) = 2*n - 4. Let q(g) = -g**2 + 2. Let w(r) = l*j(r) + 2*q(r). Find a, given that w(a) = 0.
0, 1
Let -3 + 12*t + 13/3*t**2 = 0. What is t?
-3, 3/13
Let i(o) be the first derivative of o**6/720 + o**5/60 - o**3/3 + 26*o**2 - 3. Let r(m) be the third derivative of i(m). Factor r(c).
c*(c + 4)/2
Let s = -89111 + 89114. Let -s*n**2 + 3/4*n**3 + 0 + 0*n = 0. What is n?
0, 4
Let c(u) be the third derivative of -u**6/1080 - u**5/18 - 19*u**4/72 + 5*u**3 - 63*u**2. Let z(y) be the first derivative of c(y). Solve z(n) = 0.
-19, -1
Let r = 7868 - 7868. Let z(d) be the second derivative of -20*d + 1/10*d**6 + 2*d**3 - 3/5*d**5 + 0*d**2 - 1/4*d**4 + r. Factor z(v).
3*v*(v - 4)*(v - 1)*(v + 1)
Let s = 214 + -186. Factor 142*h**2 + 30*h**2 - 188*h + 12 + s + 4*h**2 - 28*h**3.
-4*(h - 5)*(h - 1)*(7*h - 2)
Suppose 0 = 5*s + 4*d - 781, -5*s + 330 = -4*d - 459. Solve 3 - s*v + 153*v - v**2 - 7 = 0 for v.
-2
Suppose 20*x - 81*x + 305 = 0. Let h(v) be the third derivative of 0 + 0*v - 16*v**2 + 1/120*v**x + 1/3*v**3 - 5/48*v**4. Let h(b) = 0. What is b?
1, 4
Let o(g) be the first derivative of -2*g**3/33 + 251*g**2/11 + 504*g/11 - 812. Determine h, given that o(h) = 0.
-1, 252
Suppose 9*k - 6*k = 6. Suppose -k*s = -5*i - 14, -3*i + 5 = -1. Factor s + 0*n**2 + 6*n**2 - 9*n**2.
-3*(n - 2)*(n + 2)
Solve -532/13*r + 0 + 1062/13*r**2 - 2/13*r**4 - 528/13*r**3 = 0.
-266, 0, 1
Determine u, given that 513/8 + 3/8*u**2 - 45/2*u = 0.
3, 57
Let z(x) = 7*x**4 + 40*x**3 + 89*x**2 + 38*x. Let l(p) = 43*p**4 + 233*p**3 + 536*p**2 + 229*p. Let h(r) = 6*l(r) - 39*z(r). Factor h(n).
-3*n*(n + 1)*(n + 9)*(5*n + 4)
Let u(p) be the second derivative of 31*p + 0 + 0*p**4 + 1/480*p**6 + 0*p**2 - 1/160*p**5 - 16/3*p**3. Let y(k) be the second derivative of u(k). Factor y(t).
3*t*(t - 1)/4
Factor 248*o + 11532 + 4/3*o**2.
4*(o + 93)**2/3
Let s(b) be the first derivative of b**6/15 + 333*b**5/25 + 83*b**4/10 - 490. Factor s(p).
p**3*(p + 166)*(2*p + 1)/5
Let i(b) = 2. Let s(x) = -x**2 + 65*x - 172. Let f(j) = 7*i(j) - s(j). Suppose f(p) = 0. Calculate p.
3, 62
Let f(n) be the first derivative of -1280/3*n**3 + 0*n - 49*n**5 + 0*n**2 - 29 + 280*n**4. Factor f(p).
-5*p**2*(7*p - 16)**2
Let a(k) be the third derivative of -k**6/720 - 1439*k**5/120 - 32370*k**4 - 1164241*k**3/9 - 6176*k**2. Factor a(j).
-(j + 1)*(j + 2158)**2/6
Find j, given that 1/5*j**2 + 26/5 + 27/5*j = 0.
-26, -1
Suppose -11*y = -16*y + 60. Let l be ((-2)/3)/1 - (-32)/y. Factor -1/2*x - 3 + 1/2*x**l.
(x - 3)*(x + 2)/2
Let s be (14 - 24)/(35/(-7)). Let b(h) = 14*h**3 + h**2 - 4*h + 3. Let q be b(2). Factor 5 - 23*g**s - 81*g + 68*g**2 + q*g.
5*(3*g + 1)**2
Let s = 4468 + -4468. Let x(t) be the second derivative of 3/4*t**4 + t**3 + s + 0*t**2 + 11*t + 3/20*t**5. Factor x(v).
3*v*(v + 1)*(v + 2)
Let k(t) be the second derivative of 5*t**4/6 + 175*t**3/6 + 270*t**2 + 5751*t. Let k(g) = 0. What is g?
-27/2, -4
Suppose -3*b - 4*s - 8 = 0, -2*b + 3 = s - 0. Factor -11*p**4 + 2 - 2 + 21*p**b - 15*p**3 + 5*p**5.
5*p**3*(p - 1)*(p + 3)
Let y(k) be the first derivative of k**7/5880 + k**6/280 + k**5/35 + 5*k**4/42 - k**3 - 14*k**2 + 21. Let f(l) be the third derivative of y(l). Factor f(m).
(m + 2)**2*(m + 5)/7
Let a(x) be the first derivative of -x**6/6 - 6*x**5/5 - x**4 + 8*x**3 + 16*x**2 - 3418. Factor a(t).
-t*(t - 2)*(t + 2)**2*(t + 4)
Let w be 9104/1516 + ((-72)/(-2))/(-6). Let t = w + 18563/1516. Factor 13*x - 2 - 35/2*x**2 - t*x**3.
-(x + 2)*(7*x - 2)**2/4
Suppose 34*a - 248 - 58 = 0. Suppose 0 = -2*k - k + a. What is x in -2/7*x**5 - 2/7*x - 4/7*x**2 + 4/7*x**k + 2/7 + 2/7*x**4 = 0?
-1, 1
Let u(x) be the third derivative of 9*x**8/560 + 37*x**7/350 + 59*x**6/300 + x**5/75 - x**4/15 + 496*x**2. Solve u(i) = 0.
-2, -1/3, 0, 2/9
Let w(x) = 2*x**4 - x. Let b(i) be the first derivative of -3*i**5/5 + 11*i**4 - 526*i**3/3 + 925*i**2/2 - 441*i - 206. Let t(y) = b(y) + w(y). Factor t(l).
-(l - 21)**2*(l - 1)**2
Let t(d) be the second derivative of 0 - 21/25*d**2 + 32/75*d**3 + 1/30*d**4 + 12*d. Let t(v) = 0. What is v?
-7, 3/5
Let s be (-3 - 0)/(9/60). Let g be (s/44)/(14/(-77)). Factor g*q - 2 - 1/2*q**2.
-(q - 4)*(q - 1)/2
Let g(z) = -2*z**2 - 2*z. Let v(m) = 3*m**3 + 215*m**2 - 88*m. Let d(u) = -6*g(u) + v(u). Let d(n) = 0.