10
Find x, given that 1978*x - 4890605 - 1/5*x**2 = 0.
4945
Let j be 2*(6020/420 - (-28)/(-2)). Let 0*o - j*o**4 + 0*o**2 + 4/3*o**3 + 0 = 0. What is o?
0, 2
Let x(r) be the second derivative of 0 + 17/2*r**2 - 10*r + 0*r**3 - 1/48*r**4 - 1/240*r**6 - 1/60*r**5. Let t(q) be the first derivative of x(q). Factor t(m).
-m*(m + 1)**2/2
Let y be 1 + -3*1/2*-2. Factor -4*l**5 + 48*l**2 + 2*l**3 - 804*l**4 + 800*l**y + 30*l**3.
-4*l**2*(l - 3)*(l + 2)**2
Let d be 3 + (2 - ((2 - 4) + 5)). Factor -4 - 8*j**2 - 2*j**2 + 4*j**2 + 5*j**d + 7*j - 2.
-(j - 6)*(j - 1)
Let w(p) = -13*p**4 - 28*p**3 + 43*p**2 - 5*p. Let n(r) = 6*r**4 + 12*r**3 - 22*r**2 + 2*r. Let j(z) = 5*n(z) + 2*w(z). Factor j(s).
4*s**2*(s - 2)*(s + 3)
Let o be (-3 - (-2 + -1))/(-22 + 18). Let m(p) be the first derivative of -1/7*p**2 + 1/21*p**3 + 23 + 1/28*p**4 + o*p. Factor m(q).
q*(q - 1)*(q + 2)/7
Factor 0*k**3 + 162336*k**2 + 137*k - 162314*k**2 + 260 + k**3 + 0*k**3.
(k + 4)*(k + 5)*(k + 13)
Let z = -30821 + 157317/5. Let y = -640 + z. Factor 4*l - 6/5 - 24/5*l**2 + y*l**3 - 2/5*l**4.
-2*(l - 3)*(l - 1)**3/5
Suppose 18 - 11 = 7*c. Factor -6436*f**3 + c - 325 - 2264*f + 6485*f**3 - 3941*f**2.
(f - 81)*(7*f + 2)**2
Determine z so that -339/4*z**4 + 45403/2*z**2 + 146205/4 + 14103/2*z**3 + 1/4*z**5 - 264879/4*z = 0.
-5, 1, 171
Suppose 27*w - 2091 = -14*w. Factor 291*q - 44 + 61 + w + 46 + 15*q**2.
3*(q + 19)*(5*q + 2)
Let r(u) = -u**5 - u**4 + u**3 - 2*u**2 + 1. Let x(i) = 28*i**5 + 52*i**4 - 52*i**3 + 2*i**2 + 24*i - 18. Let t(g) = -18*r(g) - x(g). Solve t(y) = 0 for y.
-4, -1, 0, 3/5, 1
Let v(x) be the second derivative of -x**5/120 + x**4/24 + 5*x**3/4 + 27*x**2/4 + 2823*x. Factor v(l).
-(l - 9)*(l + 3)**2/6
Let u(r) be the third derivative of -5*r**7/42 - 53*r**6/24 + 163*r**5/3 - 105*r**4/2 + 997*r**2. Suppose u(q) = 0. What is q?
-18, 0, 2/5, 7
Let l be (-14)/42 + (-118)/6. Let n be ((-64)/l - 2)/(3 - 1). Determine p so that n*p**3 - 3/5*p - 3/5*p**2 + 3/5 = 0.
-1, 1
Let u be (666/72 + -8)*(-48)/(-10). Suppose 0 = -p + 4*p - 9. Solve -12 + 13*d - p - d**2 - 3*d + u*d**2 = 0.
-3, 1
Let n(t) = -19*t + 93. Let m be n(4). Suppose m = -8*f + 57. What is y in y**3 + y**f + y**2 - 2/3*y + 0 - 7/3*y**4 = 0?
-2/3, 0, 1
Let p(a) be the second derivative of 0*a**5 - 1/30*a**4 + 1/75*a**6 + 1/210*a**7 + 0 + 59*a - 1/30*a**3 + 0*a**2. Factor p(n).
n*(n - 1)*(n + 1)**3/5
Let i(q) be the third derivative of -221*q**2 + 0*q**5 + 1/21*q**7 + 0*q**4 + 0 + 0*q**3 + 0*q + 1/10*q**6 + 1/168*q**8. Factor i(t).
2*t**3*(t + 2)*(t + 3)
Let j(b) be the third derivative of b**7/17640 + 3*b**6/140 + 243*b**5/70 - 95*b**4/24 + 177*b**2. Let f(u) be the second derivative of j(u). Factor f(q).
(q + 54)**2/7
Solve -201/2 - 195/4*h + 3/4*h**2 = 0.
-2, 67
Let l = 8 + -12. Let t(y) = -2*y**2 - 5*y + 12. Let b(u) = u**2 + 3*u - 6. Let g(h) = l*t(h) - 7*b(h). Solve g(i) = 0.
-2, 3
Let f(z) be the second derivative of 1/4*z**5 - 3*z**2 - 5/12*z**4 - 1/24*z**6 + 0 + 0*z**3 + 9*z. Let k(r) be the first derivative of f(r). Factor k(h).
-5*h*(h - 2)*(h - 1)
Let p(f) = -56*f**3 - 151*f**2 + 32*f + 5. Let m(c) = -57*c**3 - 150*c**2 + 33*c + 3. Let l(a) = 2*m(a) - 3*p(a). Find u, given that l(u) = 0.
-3, -1/6, 1/3
Let t(k) be the second derivative of k**7/14 + 53*k**6/10 + 405*k**5/4 - 729*k**4/4 - 113*k - 1. Factor t(f).
3*f**2*(f - 1)*(f + 27)**2
Suppose -3*k + 349 = 4*n + 271, 5*n - 86 = 2*k. Find j, given that -8/11*j**k + 6/11*j + 0 + 2/11*j**3 = 0.
0, 1, 3
Let u = -103 + 103. Let b be (-4)/(3/(-39) - u). Suppose -1700*g**3 + 2 - 295*g**2 - b + 145*g + 120*g + 1630*g**3 = 0. Calculate g.
-5, 2/7, 1/2
Let m be -25 + (-15)/135*-249. Factor 572/3*c**4 + 242/3*c**5 + m*c + 104/3*c**2 + 0 + 142*c**3.
2*c*(c + 1)**2*(11*c + 2)**2/3
Let a(u) be the first derivative of 8/7*u**2 - 1/7*u**4 + 8/21*u**3 + 43 - 32/7*u. Factor a(f).
-4*(f - 2)**2*(f + 2)/7
Let c = -8207 - -5909041/720. Let n(x) be the third derivative of 0*x**3 + 0 + 1/360*x**5 + 1/144*x**4 - c*x**6 - 1/1260*x**7 + 9*x**2 + 0*x. Factor n(u).
-u*(u - 1)*(u + 1)**2/6
Let j be 114/190*(-4)/(-12). Let h(z) be the second derivative of 2/15*z**3 + 1/10*z**4 + 0 - 9*z - j*z**2. Factor h(w).
2*(w + 1)*(3*w - 1)/5
Solve 1/8*v**2 + 15/4*v + 81/8 = 0 for v.
-27, -3
Let b(f) = 6*f**2 - f + 4. Let y(s) = -41*s**2 + 1072*s - 1094. Let l(a) = 14*b(a) + 2*y(a). Determine w, given that l(w) = 0.
-1066, 1
Factor -23/3*d**3 - 2/3 - 16*d**2 - 9*d.
-(d + 1)**2*(23*d + 2)/3
Let c(z) be the second derivative of z**6/90 - 8*z**5/15 + 5*z**4/3 - 5*z + 21. Solve c(u) = 0 for u.
0, 2, 30
Suppose -4*l - 3*r - 12 = 0, -l + r = -1283 + 1272. Factor 2/3 - 2/9*z**2 - 4/9*z**l + 8/9*z.
-2*(z + 1)**2*(2*z - 3)/9
Let s(d) be the first derivative of 5*d**3/9 - 1105*d**2/3 - 2215*d/3 - 2443. Factor s(r).
5*(r - 443)*(r + 1)/3
Let k(l) be the first derivative of 4*l**3/3 + 348*l**2 + 692*l - 939. Determine x, given that k(x) = 0.
-173, -1
Let o be 5*(53 - 2) + (2 - 0). Suppose 269*m = o*m + 48. Determine s so that 0*s - 1/8*s**5 + 7/8*s**3 + 0 + 3/4*s**2 + 0*s**m = 0.
-2, -1, 0, 3
Let k(l) be the first derivative of -l**5/40 + 27*l**4/32 + 11*l**3/3 + 15*l**2/4 + 2052. Find d such that k(d) = 0.
-2, -1, 0, 30
Suppose 1/6*u**4 + 109/6*u**2 - 19/2*u + 19/2*u**3 - 55/3 = 0. Calculate u.
-55, -2, -1, 1
Let -13872*t - 272*t**2 + 0 - 4/3*t**3 = 0. What is t?
-102, 0
Solve -17/3*v**2 - 31/6*v + 11 - 1/6*v**3 = 0.
-33, -2, 1
Factor -533 - 213 - 2*o**2 + 1980*o + 2525*o - 154 - 23*o**2.
-5*(o - 180)*(5*o - 1)
Let s(a) be the second derivative of a**5/90 + 25*a**4/18 + 56*a**3 + 432*a**2 - 18*a - 14. Determine h, given that s(h) = 0.
-36, -3
Let g(s) = 9*s - 79. Let a be g(9). Factor -43*z + 67*z + 19*z + 23*z - 3*z**a + 144.
-3*(z - 24)*(z + 2)
Find h such that 329/6*h - 331/6 + 1/3*h**2 = 0.
-331/2, 1
Let z(o) be the second derivative of -o**4/6 - 190*o**3/3 - 189*o**2 - 2*o - 350. Factor z(i).
-2*(i + 1)*(i + 189)
Let u = -471 + 697. Let j = u + -224. Factor -2/9*o**j + 0 - 2/3*o.
-2*o*(o + 3)/9
Let d(a) = 5 - 126*a**3 + 127*a**3 - 37 - 17*a**2 - 16*a. Let y be d(18). Factor 0 - 2/9*h - 2/9*h**2 + 2/9*h**y + 2/9*h**3.
2*h*(h - 1)*(h + 1)**2/9
Let w(r) be the second derivative of -r**7/168 + 37*r**6/120 + 57*r**5/20 - 46*r**4/3 - 112*r**3/3 + 294*r**2 - 6*r + 665. What is n in w(n) = 0?
-7, -2, 2, 42
Let s be 40/5 + -2 + 1 + 2. Let c(j) = 11*j**2 + 62*j + 251. Let v(y) = 5*y**2 + 30*y + 125. Let d(u) = s*v(u) - 4*c(u). Factor d(t).
(t + 11)**2
What is b in 14*b**2 - 225 - 165/2*b - 1/2*b**3 = 0?
-2, 15
Let u(r) be the first derivative of 8 + 1/10*r**5 + 16/3*r**3 + 0*r + 3/2*r**2 + 1/240*r**6 + r**4. Let z(n) be the second derivative of u(n). Factor z(o).
(o + 4)**3/2
Let h(t) be the second derivative of -t**7/420 + t**6/48 - 7*t**5/120 + t**4/16 + 11*t**2/2 + 2*t + 10. Let a(x) be the first derivative of h(x). Factor a(y).
-y*(y - 3)*(y - 1)**2/2
Factor 67 - 60*v + 5*v**2 - 6*v**2 + 6*v**2 + 0*v**2 + 33.
5*(v - 10)*(v - 2)
Suppose -2*c + 16 = -4*d, -9*d + 7*d - 24 = -5*c. Find z, given that -3*z**3 - 4*z**2 + 4*z - 30*z**4 - 26*z**4 - 31*z**c + 91*z**4 - z**5 = 0.
-1, 0, 1, 2
Let z = 24 + 12. Let h be (-3)/(z/(-4)) - 4244/(-3). Suppose 1764*r + 126*r**2 + 8280 - 48 - 1412*r**3 + h*r**3 = 0. What is r?
-14
Let g(u) be the first derivative of -u**3/3 + 1345*u**2 - 1809025*u + 2426. Factor g(z).
-(z - 1345)**2
Suppose 1 = 4*n - q, -2*n = -3067*q + 3068*q + 1. What is x in -4/5*x + n + 2/5*x**2 = 0?
0, 2
Let a(g) be the first derivative of g**8/1176 - g**7/735 + 4*g**2 - g - 29. Let s(m) be the second derivative of a(m). Let s(x) = 0. Calculate x.
0, 1
Let r = -1054 + 1054. Let h be ((-22)/5 + 5)/((-1)/(-5)). Factor -10/19*m**h + r - 24/19*m**2 - 8/19*m.
-2*m*(m + 2)*(5*m + 2)/19
What is b in 29/4*b - 27/2 - 1/4*b**2 = 0?
2, 27
Let o(g) be the third derivative of g**7/1050 - 47*g**6/50 + 5339*g**5/20 - 78961*g**4/60 + g**2 + 430*g - 1. Determine b, given that o(b) = 0.
0, 2, 281
Let a(z) = 4022*z + 100550. Let k be a(-25). Factor k + 2/7*q**3 + 0*q - 8/7*q**2.
2*q**2*(q - 4)/7
Let s(y) be the third derivative of -y**5/30 + 53*y**4/4 + 1522*y**2. Find j, given that s(j) = 0.
0, 159
Let q = -59317/3 - -19781. Factor 28/3*k - q - 2/3*k**2.
-2*(k - 13)*(k - 1)/3
Suppose 0 = -o - 0*w - 3*w + 1, 11 = 2*o + 3*w. Su