ulate u.
-16, -4, -1
Let a(o) = -o**2 + 2*o + 2. Let b(t) = 6*t**2 - 1676*t + 347770. Let f(c) = -4*a(c) - b(c). Solve f(n) = 0.
417
Let b(z) = -4*z**2 - 490*z - 13933. Let s(h) = h**2 + 122*h + 3483. Let p(r) = 2*b(r) + 9*s(r). Suppose p(n) = 0. Calculate n.
-59
Let w be (12/(-14) - -1)/((-880)/(-770)). Let n(p) be the second derivative of 1/96*p**4 + 0 + 1/48*p**3 - w*p**2 + 4*p. Factor n(m).
(m - 1)*(m + 2)/8
Let g(k) be the third derivative of k**7/840 - 127*k**6/480 + 351*k**5/20 - 2759*k**4/24 - 1922*k**3/3 + 445*k**2. Suppose g(d) = 0. What is d?
-1, 4, 62
Let i = -186649 + 186651. Suppose 188/5*t**i + 38/5*t**4 - 132/5*t**3 - 122/5*t + 6 - 2/5*t**5 = 0. Calculate t.
1, 15
Solve 0*h + 0*h + 8*h**2 - 4*h**3 + h**4 - 3*h**2 - 2*h = 0.
0, 1, 2
Let i(x) be the first derivative of 3/8*x**4 + 0*x - 3/10*x**5 + 1/12*x**6 - 8 - 1/6*x**3 + 0*x**2. Factor i(u).
u**2*(u - 1)**3/2
Let b = -5010 - -5012. Find k such that 0 + 0*k + 16/7*k**b - 12/7*k**3 + 0*k**4 + 1/7*k**5 = 0.
-4, 0, 2
Let i = 339483/7 + -48497. Let 0 - 1/7*h**3 - i*h**2 + 0*h = 0. What is h?
-4, 0
Let c(w) = 26*w - 21. Let m be c(-3). Let q = 101 + m. Factor -3 + q + 1 - 9*s**2 - 3 + 12*s.
-3*(s - 1)*(3*s - 1)
Let f = -487 - -537. Let n be ((-54)/f)/(780/75 - 11). Find b such that -n*b**3 + 0 + 9/5*b**4 - 3/5*b**5 + 0*b + 3/5*b**2 = 0.
0, 1
Let o be (2 + 168/(-8))/((720/(-513))/16). Factor -12/5 - 1551/5*c**2 + 252/5*c + 2394/5*c**3 - o*c**4.
-3*(c - 1)**2*(19*c - 2)**2/5
Let b(h) be the second derivative of h**6/120 + h**5/12 + 7*h**4/24 + h**3/2 - 60*h**2 - 13*h - 5. Let w(u) be the first derivative of b(u). Factor w(a).
(a + 1)**2*(a + 3)
Let p(k) be the third derivative of k**6/900 - 106*k**5/75 - 85*k**4/12 - 638*k**3/45 - 2*k**2 + 72*k - 1. Factor p(z).
2*(z - 638)*(z + 1)**2/15
Let n(j) be the first derivative of -j**7/70 - 11*j**6/40 - 8*j**5/5 - 7*j**4/2 - 143*j**2/2 + 105. Let b(s) be the second derivative of n(s). Factor b(f).
-3*f*(f + 2)**2*(f + 7)
Suppose y = 0, 4*l - 14*y + 9*y = -8. Let z be (0 + 0)/((-2 + 4)/l). Let -6/11*j + z + 2/11*j**2 = 0. Calculate j.
0, 3
Let u be 1139/85 - 14 - 16434/10. Let w = 11509/7 + u. Factor -5/7 - 4/7*j + w*j**2.
(j - 5)*(j + 1)/7
Let b(s) be the third derivative of -18*s**2 + 11/30*s**5 + 1/3*s**3 + 0*s + 7/12*s**4 + 0 + 1/12*s**6. Factor b(m).
2*(m + 1)**2*(5*m + 1)
Determine a, given that 59/3*a**2 + 1/3*a**3 + 598/3*a + 0 = 0.
-46, -13, 0
Solve -1096/5*j + 482/5*j**2 + 312/5 + 2*j**5 + 1086/5*j**3 - 794/5*j**4 = 0 for j.
-1, 2/5, 1, 78
Let -42*p**4 - 15/2*p**5 + 288*p**3 + 0 + 120*p - 408*p**2 = 0. Calculate p.
-10, 0, 2/5, 2
Let w(p) be the first derivative of -5/2*p**2 - 43/8*p**4 - 91/12*p**3 + 0*p + 123 + 21/20*p**5. Find t such that w(t) = 0.
-4/7, -1/3, 0, 5
Let d(r) be the third derivative of 30*r**3 - 7/20*r**5 + 27*r + 37/2*r**4 + 0 - 1/8*r**6 - 3*r**2. Suppose d(k) = 0. Calculate k.
-6, -2/5, 5
Find q such that 6/7*q**2 - 3840/7 - 738/7*q = 0.
-5, 128
Let l(t) be the first derivative of -t**4/2 - 4*t**3 + 25*t**2 - 36*t - 3075. Determine p so that l(p) = 0.
-9, 1, 2
Let q(d) be the first derivative of d**4/32 - 5*d**3/4 + 7*d**2/2 - 1315. Suppose q(x) = 0. What is x?
0, 2, 28
Let m(v) be the second derivative of -v**6/30 - 83*v**5/20 - 1315*v**4/12 - 2139*v**3/2 - 2592*v**2 - 17*v + 56. Solve m(k) = 0 for k.
-64, -9, -1
Let p be 148/407 - 3/((-66)/(-4)). Determine q, given that -p*q**3 + 46/11*q**2 + 0 + 0*q = 0.
0, 23
Let d = 310 - 312. Let m be (3*-2)/(((-180)/(-27))/d). Find a, given that m*a + 3/5*a**2 + 0 = 0.
-3, 0
Let j(w) be the second derivative of 125*w**7/42 + 10*w**6/3 - 51*w**5/4 + 15*w**4/2 - 1126*w. Factor j(b).
5*b**2*(b + 2)*(5*b - 3)**2
Let t(o) be the third derivative of -o**6/420 + 11*o**5/105 - 10*o**4/7 + 2*o**2 + 115. Suppose t(b) = 0. Calculate b.
0, 10, 12
Let d(n) = -2*n**3 - 5*n**2 + 6*n + 4. Let z be d(0). Let s(p) be the first derivative of 0*p + 3 - 1/6*p**3 - 1/8*p**z + 0*p**2. What is l in s(l) = 0?
-1, 0
Find q, given that 5120*q**4 + 91 - 14880*q - 17*q**5 + 654*q**4 - 18*q**5 + 1595*q**3 - 3071 - 15545*q**2 - 569*q**4 = 0.
-1, -2/7, 2, 149
Let h(d) be the second derivative of d**4/84 + 1468*d**3/21 + 1077512*d**2/7 + 3*d - 68. Find u, given that h(u) = 0.
-1468
Let c(g) be the second derivative of -g**8/1680 - g**7/210 + 2*g**5/15 + 11*g**4/6 + 163*g. Let d(t) be the third derivative of c(t). Factor d(s).
-4*(s - 1)*(s + 2)**2
Let x be (-126)/(-189)*2/(4/(-6)). Let k be 30/(-48)*-4 + x. What is v in -k*v**3 - 1/2*v**2 + 0 + v = 0?
-2, 0, 1
Let m(a) be the first derivative of -32/5*a**5 + 97/2*a**4 + 1/3*a**6 + 380*a**2 + 38 - 400*a - 556/3*a**3. Suppose m(b) = 0. Calculate b.
2, 5
Let x(a) = -2*a**4 - 3*a**3 - 2*a**2 + 3*a + 2. Let n(f) = -2*f**2 - 3*f**2 + f**4 + 0*f**4 + 6*f**2. Let b(w) = -2*n(w) - 2*x(w). Factor b(g).
2*(g - 1)*(g + 1)**2*(g + 2)
Let j = -41414 - -41418. Find z such that -4/7*z**5 - 16/7*z**3 + 16/7*z**j - 8/7*z**2 + 20/7*z - 8/7 = 0.
-1, 1, 2
Find v, given that 1/5*v**4 + 0*v**3 - 15*v**2 + 14*v + 144/5 = 0.
-9, -1, 2, 8
Let f(g) be the third derivative of g**6/60 - 11*g**5/30 + 7*g**4/12 + 49*g**3 - 3*g**2 - 465*g. Factor f(m).
2*(m - 7)**2*(m + 3)
Suppose -3*y - 41 + 182 = 0. Suppose -j + y + 16 = 4*i, 3*i = -j + 48. Let 37*v - 11*v - 16*v - i*v + 5*v**2 = 0. Calculate v.
0, 1
Let w = -64359 + 64359. What is q in -2/5*q - 2/5*q**2 + w = 0?
-1, 0
Let -89304/7 + 342/7*r**2 + 3/7*r**3 + 8235/7*r = 0. What is r?
-61, 8
Let u(q) = -28*q**5 + 76*q**4 + 75*q**3 - 315*q**2 + 128*q + 64. Let c(t) = -t**3 + t**2. Let m = -233 + 232. Let g(i) = m*u(i) + 5*c(i). Solve g(o) = 0 for o.
-2, -2/7, 1, 2
Suppose -3*r + n - 436 = -1137, -5*r - 4*n + 1191 = 0. What is w in 4*w**2 + 2283 + 184*w - 402 + r = 0?
-23
Let r be (-2 - 5) + 107/(7490/630). Factor -2 + 2/9*g**3 + 2/3*g + 10/9*g**r.
2*(g - 1)*(g + 3)**2/9
Let t(z) be the third derivative of -z**8/960 - 3*z**7/560 - z**6/120 - 29*z**5/60 - 2*z**2 - z. Let b(l) be the third derivative of t(l). Factor b(r).
-3*(r + 1)*(7*r + 2)
Let i(g) be the first derivative of 5*g**5 - 55*g**4 - 112*g**3 + 184*g**2 - 80*g + 133. Factor i(n).
(n - 10)*(n + 2)*(5*n - 2)**2
Let r(q) = -615*q**3 + 336*q**2 + 2496*q - 1623. Let p(g) = -g**4 + 308*g**3 - 168*g**2 - 1248*g + 812. Let o(k) = -9*p(k) - 4*r(k). Solve o(j) = 0 for j.
-2, 2/3, 2, 34
Let r(t) be the second derivative of t**6/6 + 3*t**5 - 5*t**4/4 - 85*t**3/3 + 60*t**2 - 373*t + 1. Factor r(x).
5*(x - 1)**2*(x + 2)*(x + 12)
Let c(x) be the first derivative of 15*x**4/4 - 6*x**3 - 87*x**2/2 + 18*x - 1373. Factor c(i).
3*(i - 3)*(i + 2)*(5*i - 1)
What is i in -995*i + 400 - 676*i**2 - 84*i**2 - 185*i - 35*i**3 = 0?
-20, -2, 2/7
Let o(d) be the second derivative of 0 - 5/14*d**4 - 1/105*d**6 + 1/10*d**5 + 3/7*d**3 - 61*d + 0*d**2. Factor o(l).
-2*l*(l - 3)**2*(l - 1)/7
Suppose -2*z + 46 = -7*z - 3*c, 2 = -c. Let n(x) = x**3 + 8*x**2 + 5. Let v be n(z). What is f in -13*f**v - 6*f**5 + 20*f**5 - f**3 = 0?
-1, 0, 1
Let h(l) = 14*l**2 - 1 - 27*l + 0 + 4. Suppose -10*u - 155 = 21*u. Let s(f) = 14*f**2 - 28*f + 4. Let i(g) = u*s(g) + 4*h(g). Factor i(x).
-2*(x - 2)*(7*x - 2)
Let i = 79 + -34. Let g be i/18 - (2 + 0)/4. Determine w so that -6*w**3 - 12*w**2 + 20 + g*w**3 - 12*w - 24 = 0.
-1
Let p(m) be the third derivative of -11/30*m**5 + 12*m**3 - 1/30*m**6 + 0*m + 1/105*m**7 + m**4 + 34*m**2 + 0. Determine g, given that p(g) = 0.
-2, 3
Suppose 19878*f**2 - 267*f**3 + 24799*f - 4502*f - 17*f**3 + 6*f**4 + 20315*f + 20449 - 5*f**4 = 0. Calculate f.
-1, 143
Let k be (-2)/4 + (2673/144)/33. Let p(j) be the third derivative of 0 + 1/120*j**5 - 1/3*j**3 + 15*j**2 + 0*j + k*j**4. Let p(q) = 0. What is q?
-4, 1
Find p such that -1570/23*p**2 + 34*p**3 + 2/23*p**4 + 0 + 786/23*p = 0.
-393, 0, 1
Let k(d) be the third derivative of d**8/336 - d**7/90 - 43*d**6/360 + d**5/12 - 10890*d**2. Find m such that k(m) = 0.
-3, 0, 1/3, 5
Let j(z) be the first derivative of 3/2*z**4 + 135 - 3*z**2 + 0*z - 2/3*z**3 + 2/5*z**5. Determine a, given that j(a) = 0.
-3, -1, 0, 1
Let s = 32371 - 32368. Let f(a) be the first derivative of 0*a**5 - s*a**4 + 1/2*a**6 + 9 + 9/2*a**2 - 6*a + 2*a**3. Let f(b) = 0. Calculate b.
-2, -1, 1
Let m(s) be the third derivative of s**8/1176 - 16*s**7/735 + 67*s**6/420 - 4*s**5/35 - 