t k(a) be the first derivative of a**4/2 + 44*a**3/3 + 60*a**2 - 432*a + 3106. Determine n so that k(n) = 0.
-18, -6, 2
Factor -4078988 - 4*q**3 + 106*q + 210*q**2 + 4078988.
-2*q*(q - 53)*(2*q + 1)
Let w(a) be the second derivative of a**5/100 + 371*a**4/60 - 499*a**3/10 + 225*a**2/2 - 2219*a. Factor w(d).
(d - 3)*(d - 1)*(d + 375)/5
Factor -19/5*n + 3/5*n**2 - 14/5.
(n - 7)*(3*n + 2)/5
Let -3/5*n**3 + 108/5*n**2 + 12/5*n - 432/5 = 0. Calculate n.
-2, 2, 36
Let w(i) be the second derivative of -i**4/12 - 19*i**3/6 - 44*i**2 - 3*i + 253. Factor w(q).
-(q + 8)*(q + 11)
Factor 7056/5*k + 1/5*k**4 - 167/5*k**3 + 6888/5*k**2 + 0.
k*(k - 84)**2*(k + 1)/5
Let b(m) be the third derivative of -9*m**7/70 + 58*m**6/5 + 467*m**5/45 + 26*m**4/9 + 37*m**2 + 2*m + 4. Factor b(y).
-y*(y - 52)*(9*y + 2)**2/3
Let g(t) be the third derivative of 5*t**8/1176 - t**7/245 - 13*t**6/105 - 2*t**5/7 - 4*t**4/21 - t**2 + 224. What is h in g(h) = 0?
-2, -1, -2/5, 0, 4
Suppose 33*w = 116 + 280. Let s be 9/w + (-7)/(252/27). Solve s - 12/5*l**2 + 3/5*l**4 + 0*l - 3/5*l**5 + 12/5*l**3 = 0 for l.
-2, 0, 1, 2
Find g such that -10360*g + 376*g**2 - 128*g**3 + 124*g**3 + 1160*g + 15846 + 1082 = 0.
2, 46
Let c = -9556 - -76353/8. Let h = c - -1015/72. Solve 0*w**2 + 20/9*w + 2/3 - h*w**3 - 2/3*w**4 = 0 for w.
-3, -1, -1/3, 1
Let i(w) be the second derivative of -55/12*w**4 + 145/6*w**3 + 195/2*w**2 - 46*w - 1/4*w**5 + 0. Find n, given that i(n) = 0.
-13, -1, 3
Suppose -4*g + 20 - 29 = -21. Let q(a) be the first derivative of 6/7*a**2 + 2/21*a**g + 27 + 18/7*a. Factor q(h).
2*(h + 3)**2/7
Let 828/17 + 8/17*g**3 - 2902/17*g - 1642/17*g**2 = 0. What is g?
-2, 1/4, 207
Suppose 0 = -w - 4*w + 25. Let a be (-3)/w - 4*36/(-40). Solve -a*h**3 - 35*h**2 - 3*h**4 + 1 - 1 + 41*h**2 = 0 for h.
-2, 0, 1
Let y = -3814 + 30517/8. Let n be (-4 + 4/(-128)*-126)*-2. Determine j, given that 3/4*j - n*j**2 - y = 0.
1, 5
Let h(b) be the first derivative of 8*b**6/9 - 64*b**5/5 - 275*b**4/3 + 412*b**3/3 - 160*b**2/3 + 2474. What is u in h(u) = 0?
-5, 0, 1/2, 16
Let m(g) = 4*g**2 - 69*g + 86. Let s be m(16). Let o(r) be the third derivative of 0 - 1/10*r**6 - 7/6*r**4 + 0*r - 8/15*r**5 - 4/3*r**3 - s*r**2. Factor o(h).
-4*(h + 1)**2*(3*h + 2)
Let v(c) be the second derivative of 3*c**5/100 + 31*c**4/60 - 11*c**3/15 - 612*c + 1. Factor v(k).
k*(k + 11)*(3*k - 2)/5
Factor -832/5*s**2 + 2/5*s**3 + 1656/5*s + 0.
2*s*(s - 414)*(s - 2)/5
Factor -15/2*h**3 + 45 - 35/2*h**2 + 5/2*h**4 + 75/2*h.
5*(h - 3)**2*(h + 1)*(h + 2)/2
Let i(j) = -2*j**3 - 5*j**2 - 3*j - 4. Let d be i(-2). Let o be (-16)/(-24)*d + 3. Factor o*x**4 + 40/3 - 5/3*x**3 + 20/3*x - 10*x**2.
5*(x - 2)**2*(x + 1)*(x + 2)/3
Let w be -35 + (-9912)/(-280) - 1*((-26)/10 + 3). Solve w + 1/5*c**2 - 4/5*c = 0.
0, 4
Suppose -4*a + 2*p = -40, -4*p - 9 + 28 = a. Suppose a = -3*j + 5*t, 0*t = -t + 4. Determine k so that 1/8*k**5 + 1/8*k**j + 0*k + 0*k**2 + 0 + 1/4*k**4 = 0.
-1, 0
Let f be (-2 - -1) + (-258)/(-12)*68. Suppose -g = h - 6*h + 1842, -f = -4*h + 5*g. Factor 369 - h + 28*w - 4*w**2.
-4*w*(w - 7)
Let s(m) be the first derivative of 4*m**3/9 - 424*m**2 + 134832*m + 2230. Solve s(d) = 0.
318
Let i(b) be the second derivative of 1/6*b**4 - b**2 + 0*b**3 + 63*b + 0. Let i(w) = 0. What is w?
-1, 1
Let x(z) = 14*z**2 + 3238*z - 323252. Let t(y) = -8*y**2 - 1620*y + 161628. Let b(w) = 11*t(w) + 6*x(w). What is s in b(s) = 0?
201
Let g = -1519 + 3049/2. Factor 6 - g*c - 1/2*c**2.
-(c - 1)*(c + 12)/2
Factor 140*w - 59405 + 674*w + 486*w - 210*w - 5*w**2.
-5*(w - 109)**2
Suppose 254*g + 521 = 1029. Solve 4*p**g - 32/5*p - 2/5*p**3 + 0 = 0 for p.
0, 2, 8
Determine x, given that -282/7 + 1/7*x**2 + 13*x = 0.
-94, 3
Suppose -2*v + 10 = -w + 6*w, -w = 5*v - 2. Suppose v*p = p - 4, -26 = -2*o - 5*p. Factor 5*t**3 + 2*t + t**3 + o*t**3 + 7*t**2 - t**5 + 2*t**5 + 5*t**4.
t*(t + 1)**3*(t + 2)
Let z(a) = 98*a - 502. Let m be z(5). Let q(x) = -x**3 - 10*x**2 + 8*x - 189. Let b be q(m). Factor 0 - 14/3*p**b - 2*p**4 - 2/3*p - 10/3*p**2.
-2*p*(p + 1)**2*(3*p + 1)/3
Let o = 800 + -797. Suppose x = -x + 10. Determine n so that 2/5*n**x + 0*n + 0*n**o + 0*n**2 + 4/5*n**4 + 0 = 0.
-2, 0
Suppose -11 = -2*w + 5*v, -2*w + 3*v - 1 = -10. What is t in -51*t**2 + 20*t + 5*t**4 + 25*t**3 - 4*t**2 + 8*t**4 - w*t**4 = 0?
-4, 0, 1/2, 1
Let q(s) be the second derivative of 5*s**4/12 + 67*s**3/6 - 232*s**2 + 71*s. Let v(t) = 3*t**2 + 34*t - 233. Let n(d) = -4*q(d) + 7*v(d). Factor n(c).
(c - 15)**2
Let r(o) be the first derivative of -o**4/78 - 21*o**3/13 + 64*o**2/13 - 191*o - 238. Let u(m) be the first derivative of r(m). Solve u(y) = 0 for y.
-64, 1
Let q(j) be the second derivative of 3*j**5/10 - 11*j**4/4 - 7*j**3/2 + 9*j**2 + 2760*j. Factor q(x).
3*(x - 6)*(x + 1)*(2*x - 1)
Let v be ((-25120)/12)/8*(-2)/20. Let o = v + -74/3. Factor -o*l**2 + 7/4*l - 1/4*l**3 + 0.
-l*(l - 1)*(l + 7)/4
Let n = 548 - 550. Let h(q) = -5*q**2 + 56*q + 61. Let b(o) = o**2 + 2*o + 1. Let p(i) = n*b(i) - h(i). Factor p(l).
3*(l - 21)*(l + 1)
Let i(g) be the first derivative of 0*g + 1/3*g**3 - 13 - 1/16*g**4 - 1/20*g**5 + 1/2*g**2. Suppose i(y) = 0. Calculate y.
-2, -1, 0, 2
Let f(w) = -3*w**4 + 3*w**2 - 2*w - 2. Let q(y) = 11 - 784*y**4 + 11*y - 16*y**2 + 396*y**4 + 404*y**4. Let c(r) = -11*f(r) - 2*q(r). Let c(i) = 0. Calculate i.
-1, 0, 1
Solve 7631*y - 11934 - 7465*y**3 + 7455*y**2 + 6098*y**4 + 4474 - 166*y - 6093*y**4 = 0.
-1, 1, 1492
Find k such that 58*k - 2150*k**2 - 4*k**4 + 822*k + 2390*k**2 - 896 - 220*k**3 = 0.
-56, -2, 1, 2
Let g = 12/23 - 97/230. Let t(s) be the second derivative of 2/75*s**6 + 0*s**2 + 0 - 8*s + g*s**5 + 1/30*s**4 - 2/15*s**3. Let t(d) = 0. Calculate d.
-2, -1, 0, 1/2
Let p(z) be the first derivative of -z**3/3 + 47*z**2/2 + 98*z - 1156. Factor p(m).
-(m - 49)*(m + 2)
Let i = -6066 - -6069. Let s(v) be the first derivative of 6*v**i - 3/2*v**2 + 3/2*v**4 - 18 - 1/2*v**6 - 9/5*v**5 - 9*v. Let s(p) = 0. Calculate p.
-3, -1, 1
Let o(v) be the third derivative of -v**7/140 - 3*v**6/8 + 43*v**5/40 + 93*v**4/4 - 1948*v**2. Suppose o(m) = 0. What is m?
-31, -3, 0, 4
Let t(g) = -g**2 - 9*g + 276. Let q be t(14). Let b be 18/(-63) + q/(-14). Factor -6 + 9/2*f**2 + 0*f + 3/2*f**b.
3*(f - 1)*(f + 2)**2/2
Let i = -2/63909 - -255646/319545. Suppose 0*d**2 - 8/5*d + i*d**4 + 8/5*d**3 - 4/5 = 0. Calculate d.
-1, 1
Let h(v) be the second derivative of -v**5/12 + 5*v**4/4 + 35*v**3/6 + 20*v**2 - 21*v. Let i(r) be the first derivative of h(r). Solve i(j) = 0.
-1, 7
Let w(l) = 16*l**2 + 4*l - 7. Let i(y) = 8*y**2 + 2*y - 4. Let t(j) = -5*i(j) + 3*w(j). Let z be t(-2). What is c in 19*c + 27*c - 13*c - 3*c + z + 3*c**2 = 0?
-9, -1
Let c(g) = -g**3 + 6 - 2 + 3*g**2 - 4*g**2 - 4*g**2. Let w be c(-5). Solve -5*y**5 - 20*y**4 + 18*y**4 + w*y**3 + 2*y**2 + 2*y**5 - y = 0.
-1, 0, 1/3, 1
Let j(i) = 12*i**2 + 25*i + 8. Let c be ((-2 - -3) + 0)*6/(-2). Let n(a) = -7*a**2 - 13*a - 3. Let k(q) = c*j(q) - 5*n(q). Factor k(o).
-(o + 1)*(o + 9)
Let h be (-4)/6*6*8/(-16). Find a such that -3*a**h + a + 4811 - 4811 + 2*a = 0.
0, 1
Let g(m) be the first derivative of -5*m**3/3 + 11470*m**2 - 26312180*m - 7339. Factor g(d).
-5*(d - 2294)**2
Let v = -532 - -536. Find x, given that -29284 - 1932*x**2 - 93*x**v + 1176*x + 3*x**5 + 29284 + 846*x**3 = 0.
0, 1, 2, 14
Suppose -73*u - 100*u = -928 + 236. Find c, given that u - 76/9*c**3 - 38/3*c - 2/9*c**5 + 20/9*c**4 + 136/9*c**2 = 0.
1, 2, 3
Let a(n) be the third derivative of n**6/24 + 49*n**5/12 - 505*n**4/24 + 85*n**3/2 - 58*n**2 - 8*n. Solve a(u) = 0.
-51, 1
Factor 1/5*i**2 + 11/5*i - 42/5.
(i - 3)*(i + 14)/5
Suppose 0 = -7*d - 18*d + 375. Suppose 0 = -g - 3*n + d, -g - 4*g = 5*n - 25. Determine y so that 0 - 2/7*y**3 + g*y + 6/7*y**2 = 0.
0, 3
Let y(i) be the first derivative of 2*i**5/5 - 11*i**4 + 274*i**3/3 - 140*i**2 - 600*i + 1963. Suppose y(z) = 0. Calculate z.
-1, 3, 10
Let l(c) be the first derivative of 4*c**5/5 - 389*c**4 - 1614. Factor l(g).
4*g**3*(g - 389)
Let y(p) be the first derivative of -69*p**5/5 - 351*p**4/4 - 79*p**3 + 603*p**2/2 + 54*p + 525. Find r, given that y(r) = 0.
-3, -2/23, 1
Let j = -236353 - -1645650/7. Let v = -1259 - j. Let -6/7*t**2 - 2/7*t**3 + v + 0*t = 0. Calculate t.
-2, 1
Suppose -12 = 10*r - 112. Suppose -12 =