 8*a - 112 + 10*a + 7 + 48*a = 0.
3, 7
Let z be -4 + 3 - 77/(-7). Factor 124*h**3 - 123*h**3 - 17*h - z*h - 42 - 12.
(h - 6)*(h + 3)**2
Let b(c) = -2*c**4 - c**3 - c**2 + 31. Let d(x) = 9*x**4 - 93*x**3 + 114*x**2 + 204*x - 186. Let w(a) = 6*b(a) + d(a). Suppose w(i) = 0. Calculate i.
-34, -1, 0, 2
Let j be (-138)/(-72) - 18/72. Let t(z) be the second derivative of 0 + z + j*z**4 - 65/6*z**3 + 15/2*z**2. Factor t(r).
5*(r - 3)*(4*r - 1)
Let c = 3827778 - 845940464/221. Let f = c + 120/17. Factor 2/13*n - f*n**2 + 4/13.
-2*(n - 2)*(n + 1)/13
Let r(y) be the second derivative of y**6/30 + y**5/10 + 2*y + 4091. Suppose r(p) = 0. Calculate p.
-2, 0
Let p be (-7)/(-1) - (3 + 1). Suppose 14*f**2 + 2*f**4 - 441*f**p + 451*f**3 - 2*f**2 = 0. What is f?
-3, -2, 0
Suppose -14*k**3 + 10 - 20*k**3 + 255*k**5 - 38*k + 303*k**2 + 127*k**2 - 157*k - 440*k**4 - 26*k**3 = 0. What is k?
-1, 1/17, 2/3, 1
Let m(n) = 8*n + 45. Suppose 30 = -5*r + 5*s, 3*r + 3*s + 7 = -5. Let w be m(r). Factor -4*x**3 - 16 + 16*x**2 - 3*x**4 - 2*x**5 + 9*x**w - 6*x**5.
(x - 2)**3*(x + 1)*(x + 2)
Let s(v) be the second derivative of -v**4/42 + 43*v**3/21 + 44*v**2/7 + v + 885. Let s(q) = 0. What is q?
-1, 44
Determine c, given that 0 - 360*c**3 - 3888*c - 56/3*c**4 - 1/3*c**5 - 2592*c**2 = 0.
-18, -2, 0
Determine b so that 360*b**2 + 10944/7*b + 9/7*b**4 + 249/7*b**3 + 16896/7 = 0.
-8, -11/3
Let n = -60459/5 + 12092. Let v(u) be the first derivative of 36 + 4/15*u + n*u**2 + 2/45*u**3. Factor v(j).
2*(j + 1)*(j + 2)/15
Suppose 0 = 9*r - 726 - 633. Let k = -125 + r. Factor 4*y**3 - 8*y**2 + 1555*y + 10 - 1583*y - k.
4*(y - 4)*(y + 1)**2
Let v = 219 - 218. Let l(d) = -27*d**2 + 47*d + 16. Let s(z) = z**2 - z. Let w(a) = v*l(a) - s(a). Factor w(y).
-4*(y - 2)*(7*y + 2)
Let u = 57455 + -517051/9. Suppose 2/9*d**2 + u*d + 242/9 = 0. What is d?
-11
Let j(z) = 4*z**3 - 50*z**2 + 29*z + 110. Let a(y) = -12*y**3 + 148*y**2 - 88*y - 320. Let v(r) = -3*a(r) - 8*j(r). Factor v(c).
4*(c - 10)*(c - 2)*(c + 1)
Let w(t) = 11*t**3 - 11*t**2 + 4*t + 2. Let k(j) = 20*j**3 - 21*j**2 + 7*j + 5. Suppose 52*d = 16*d - 216. Let v(x) = d*k(x) + 11*w(x). Factor v(z).
(z - 1)*(z + 2)*(z + 4)
Let z(a) be the first derivative of -28*a + 160 - 2/3*a**3 - 15*a**2. Factor z(s).
-2*(s + 1)*(s + 14)
Let j be ((-2802)/3)/(18/(-36)). Suppose j*g**2 - 15*g**4 - 1868*g**2 - 10*g**5 = 0. What is g?
-3/2, 0
Let a(z) be the third derivative of z**5/110 - 23*z**4/66 + 5*z**3/11 - 4*z**2 - 4. Factor a(p).
2*(p - 15)*(3*p - 1)/11
Suppose -13*q + 2*q - 99 = 0. Let t be (q/(54/24))/(-2). Let 0 - 63*z + 38*z + 0 + 5*z**t = 0. Calculate z.
0, 5
Suppose 0 = -17*v - 18*v + 32305. Determine i so that 462*i**3 - v*i**3 + 465*i**3 - 96*i**2 + 576*i = 0.
0, 12
Suppose -6*m - 2*m + 16 = 0. Solve -243 - 75*o + 43*o**2 - 46*o**m + 21*o = 0.
-9
Let -116/5*n**3 + 2/5*n**4 + 1694 - 10252/5*n + 1896/5*n**2 = 0. Calculate n.
1, 11, 35
Let y = -274 + 276. Factor 183*d + 7052 - 3*d**y + 141*d - 15800.
-3*(d - 54)**2
Let g(n) = -n**3 + 13*n**2 - 12*n + 16. Let i be g(12). Let z = -1 + i. Find s, given that 7 - z*s**2 - 3*s + 20*s**2 - s**3 - 3 - 5*s = 0.
1, 2
Let p(h) be the first derivative of -h**5/15 + 10*h**4/9 + 2*h**3/9 - 20*h**2/3 - 3*h + 202. Let v(x) be the first derivative of p(x). Factor v(w).
-4*(w - 10)*(w - 1)*(w + 1)/3
Let y(n) = -2*n**3 - 10*n**2 - 15*n - 4. Let v be y(-2). Factor -3*h - 7*h**3 + 21*h**v - h - 11*h**2 + 12*h.
-h*(h - 2)*(7*h + 4)
Let i(y) = -5*y**4 + 5*y**3 + 9*y**2 - 5*y - 4. Let c(b) = 55*b - 50*b + 5 + 2*b**4 + 3*b**4 - 10*b**2 - 5*b**3. Let j(p) = -4*c(p) - 5*i(p). Factor j(n).
5*n*(n - 1)**2*(n + 1)
Let k(m) be the third derivative of -m**5/60 - 5*m**4/12 - 2*m**3 - 415*m**2. Let h be k(-8). What is a in 1/4*a**h + 1/4 + a**3 + a + 3/2*a**2 = 0?
-1
Let i(o) be the third derivative of o**8/84 - 2*o**7/105 - 2*o**6/3 - 16*o**5/15 + 32*o**4/3 + 160*o**3/3 + 2*o**2 - o - 56. Determine x, given that i(x) = 0.
-2, 2, 5
Suppose -5*s - v + 7 = 0, 3*v - 8 + 9 = -4*s. Solve -25*n**s - 62*n**4 + 4*n**2 + 6*n - 18*n**2 + 54*n**3 + 17*n**4 + 24*n**3 = 0.
0, 1/3, 2/5, 1
Let h = -233 + 235. Factor -4*d**h - 4*d**4 - 3*d**2 - 578*d**3 + 607*d**3.
-d**2*(d - 7)*(4*d - 1)
Suppose -3*f = 4*l - 13, -20*l + 16*l = -2*f - 18. Suppose -l*p - 5 + 13 = 0. Solve -3/2*b**p + 21/2*b + 0 = 0.
0, 7
Let b(s) be the third derivative of s**7/420 + 17*s**6/240 - 2*s**5/3 + 7*s**4/4 - 68*s**2. Factor b(f).
f*(f - 2)**2*(f + 21)/2
Factor 18933*l - 21773*l - 4*l**2 - 403280 - l**2.
-5*(l + 284)**2
Let d be (-124)/(-93)*6/4. Determine u so that -u**d + 121 - 237*u + 2*u**2 + 215*u = 0.
11
Let i be 16/(-14)*(-21)/6. Let 240*d - 3*d**3 + 3*d**2 + 6*d**2 - 234*d - d**5 - 9*d**i - 2*d**5 = 0. Calculate d.
-2, -1, 0, 1
Let k(o) be the first derivative of 2*o**3/27 - 427*o**2/9 + 284*o/3 - 2069. Factor k(t).
2*(t - 426)*(t - 1)/9
Let p(o) = 11*o**4 - o**3 + 130*o**2 + 100*o. Let m(y) = -y**4 - 13*y**2 - 10*y. Let j(v) = -21*m(v) - 2*p(v). Factor j(a).
-a*(a - 5)*(a + 1)*(a + 2)
Let a = -4080 + 1130156/277. Let h = 6395/1662 + a. Find m, given that -1/2*m**4 - h*m**2 - 8/3*m - 2/3 - 7/3*m**3 = 0.
-2, -1, -2/3
Let o = 373 + -371. Suppose -h + 6*h - 10 = 0, -h = -2*p + 70. Determine n, given that 15*n**o - p + 19 + 22 + 5*n**3 + 15*n = 0.
-1
Factor -7168/3 - 92/3*z**2 + 2/3*z**3 + 1408/3*z.
2*(z - 16)**2*(z - 14)/3
Let a(b) = 150*b - 2546. Let x be a(17). Let m(p) be the first derivative of -6*p**3 - 5/2*p**4 - x*p + 26 - 7*p**2 - 2/5*p**5. Factor m(w).
-2*(w + 1)**3*(w + 2)
Let z be 13/(-21) + -10 + (-35)/(-3). Let p = 12/7 - z. Solve p*m + 0 + 1/3*m**2 = 0 for m.
-2, 0
Let b = 839 - 834. Let g be b/(30/8)*(-3)/(-26). Let 0 - 4/13*x**2 + g*x**4 + 2/13*x**3 + 0*x = 0. What is x?
-2, 0, 1
Let n(x) be the second derivative of -x**7/189 - 17*x**6/27 + 173*x**5/90 - 29*x**4/18 - 1099*x. Find z such that n(z) = 0.
-87, 0, 1
Factor 24*h + 2*h**2 - 20/9*h**3 + 2/9*h**4 - 24.
2*(h - 6)**2*(h - 1)*(h + 3)/9
Let y(p) = p**3 + 7*p + 12*p + 6*p**2 - 3 - 17*p + 3*p. Let j be y(-2). Factor 3*k**5 - 9*k**j - k**4 + 28*k**2 - 12*k - 4*k**2 + 3*k**4 - 8*k**4.
3*k*(k - 2)*(k - 1)**2*(k + 2)
Let p be (-6)/2*32/(-48). Let -t**2 + 7*t + 6 + 10*t**p - 16*t + 30*t = 0. What is t?
-2, -1/3
Let c(m) = -5*m**3 - m**2 + 10*m - 11. Let x be c(2). Let z be (224/x + 7)*5. Factor -9/5*n**2 + 24/5*n + 1/5*n**z - 16/5.
(n - 4)**2*(n - 1)/5
Let d(m) be the first derivative of -59*m**4/2 + 460*m**3/3 - 212*m**2 - 48*m + 2590. Let d(f) = 0. What is f?
-6/59, 2
Let h(i) be the first derivative of i**4/2 + 196*i**3 - i**2 - 588*i + 1774. Let h(u) = 0. Calculate u.
-294, -1, 1
Let b(k) be the first derivative of 147*k**5/5 - 777*k**4/4 - 223*k**3 + 237*k**2/2 - 18*k - 1779. Let b(l) = 0. Calculate l.
-1, 1/7, 6
Find h such that -14194*h**3 - 14*h**4 - 18*h - 10*h + 2*h**2 + 38*h**2 + 14197*h**3 - h**5 = 0.
-14, -2, 0, 1
Let w(n) be the third derivative of -n**6/24 + 10*n**5/3 - 905*n**4/24 + 175*n**3 + 3086*n**2. Factor w(u).
-5*(u - 35)*(u - 3)*(u - 2)
Let u(p) = -67*p**2 - 235*p - 18. Let s(l) = -l**2 + 47*l + 1. Let o(q) = 2*s(q) - u(q). Factor o(n).
(n + 5)*(65*n + 4)
Let l = 544 + -541. Factor 132*w - l*w**2 - w**3 - 264*w + 136*w.
-w*(w - 1)*(w + 4)
Let w(j) be the first derivative of -3/32*j**4 + 0*j + 1/20*j**5 - 108 + 1/24*j**3 + 0*j**2. Determine t so that w(t) = 0.
0, 1/2, 1
Let d(m) be the second derivative of -3*m**5/20 - 323*m**4/4 - 7*m + 83. Determine k, given that d(k) = 0.
-323, 0
Factor -14 + 4*h - 1899*h**3 + 14 + 2*h**2 + 1897*h**3.
-2*h*(h - 2)*(h + 1)
Determine m so that 1/4*m**2 - 4*m - 17/4 = 0.
-1, 17
Let c(v) be the third derivative of v**8/1680 - 31*v**6/600 - 53*v**5/150 - 11*v**4/10 - 28*v**3/15 + 2653*v**2. Find g such that c(g) = 0.
-2, -1, 7
Let i(w) be the second derivative of -3*w**5/20 - w**4/12 + w**3/3 + w**2 + w. Let c be i(-1). Let 7*k + 0*k + 3*k**c + 3 - 13*k = 0. What is k?
1
Suppose 0 = 1859*b - 1687*b - 688. Find d, given that -5/2*d**3 + 2*d - 1/2*d**4 + b - 3*d**2 = 0.
-2, 1
Let c(q) be the second derivative of -3*q**5/80 - 35*q**4/16 - 4*q**3 + 51*q**2/2 - 5793*q. Factor c(a).
-3*(a - 1)*(a + 2)*(a + 34)/4
Let j(v) = 34634*v + 173170. Let a be j(-5). Let f be 2/8 - (-2)/8. Factor -f*x**2 + a + 0*x.
-x**2/2
Let d be (-125)/(-52) - (27 + 1/((-