/b + 1/((-9)/6). Factor 0 + 3/8*l**3 - 3/8*l**2 + 0*l - 3/8*l**5 + m*l**4.
-3*l**2*(l - 1)**2*(l + 1)/8
Let m(c) = 4*c**4 - 63*c**3 - 282*c**2 - 176*c. Let r(j) = -j**4 + 16*j**3 + 70*j**2 + 44*j. Let g(d) = -3*m(d) - 13*r(d). Determine n so that g(n) = 0.
-2, -1, 0, 22
Suppose 115 = 4*q - 5*q - h, -2*q - 3*h = 229. Let d = q - -353/3. Factor -5/3*f**2 + d*f + 0.
-5*f*(f - 1)/3
Let c(u) be the third derivative of 1/12*u**4 - 1/10*u**5 + 0*u - 42*u**2 - 1/60*u**6 + 0 + u**3. Factor c(k).
-2*(k - 1)*(k + 1)*(k + 3)
Factor 3 + 63*i**2 - 17102*i + 17069*i + 6*i**3 - 3.
3*i*(i + 11)*(2*i - 1)
Let m(t) = 27 - 5*t**2 - 17*t + 3 - 21*t + 53*t. Let x(l) = -5*l**2 + 16*l + 29. Let d(j) = 4*m(j) - 5*x(j). Determine c, given that d(c) = 0.
-1, 5
Determine j so that 239*j + 355 - 748*j**2 + 159 + 55*j + 62 + 751*j**2 = 0.
-96, -2
Let l(o) = o**2 - 101*o + 379. Suppose 3*w = 20 - 5. Let i(a) = -a**2 + 50*a - 190. Let t(n) = w*i(n) + 2*l(n). Factor t(m).
-3*(m - 8)**2
Factor -2*g**4 - 373248 - 8640*g**2 + 69187*g**3 - 68963*g**3 - 18776*g + 143192*g.
-2*(g - 36)**3*(g - 4)
Let j(s) = 9*s**2 - s. Let i(m) = -10*m**2 - 6*m + 18. Let q(w) = -i(w) - j(w). Solve q(l) = 0 for l.
-9, 2
Let g = 567 + -565. Factor 34*d**2 + 1502 - 19*d + 98 - 70*d**g + 99*d + 37*d**2.
(d + 40)**2
Factor 2/17*o**4 + 0*o**3 + 128/17*o - 48/17*o**2 - 96/17.
2*(o - 2)**3*(o + 6)/17
Let b(w) be the third derivative of w**8/756 + 121*w**7/1890 + 173*w**6/180 + 193*w**5/135 - 7033*w**4/108 - 1183*w**3/18 - 4526*w**2. Solve b(o) = 0.
-13, -7, -1/4, 3
Factor 31/3*o**3 + 695*o - 450 - 2297/9*o**2 - 1/9*o**4.
-(o - 45)**2*(o - 2)*(o - 1)/9
Suppose 86*f = -55*f - 23*f + 18*f. Let s(u) be the second derivative of -30*u + f - 25/6*u**3 + 5/3*u**4 - 1/4*u**5 + 5*u**2. Factor s(i).
-5*(i - 2)*(i - 1)**2
Let l(b) be the third derivative of b**6/40 - 301*b**5/20 + 1779*b**4/8 - 2655*b**3/2 + 4*b**2 - b + 5. Factor l(k).
3*(k - 295)*(k - 3)**2
Let y(i) be the second derivative of -i**7/189 - 8*i**6/45 - 3*i**5/5 + 542*i**4/27 - 635*i**3/9 + 100*i**2 - 16*i - 7. Let y(x) = 0. What is x?
-15, 1, 4
Let p = -399040 + 399043. Determine t, given that 6*t + 10/3 + 2*t**2 - 2/3*t**p = 0.
-1, 5
Let h = 1850271/7 - 264322. Factor h*m - 3/7*m**2 - 5/7*m**3 + 1/7*m**4 - 10/7.
(m - 5)*(m - 1)**2*(m + 2)/7
Let o(x) = -x**3 - 7*x**2 - 13*x - 9. Let u be o(-4). Let r be -1 - u - (-84)/(-28). Factor 6*b**3 - r - b**2 - 4 - 11*b - 6*b**2 - 7*b**3.
-(b + 1)**2*(b + 5)
Let i(o) be the second derivative of 0 + 0*o**4 - 1/3*o**3 + 3*o + 1/40*o**5 + 0*o**2. Find p, given that i(p) = 0.
-2, 0, 2
Let v = -296/5 - -297/5. Let n(f) be the second derivative of -v*f**3 - 9/5*f**2 + 0 - 1/50*f**5 + 18*f + 1/6*f**4. Let n(z) = 0. What is z?
-1, 3
Suppose -4*o - 79*l + 107*l - 520 = 0, 3*o - 4*l + 67 = 0. What is s in 0*s - 9/2*s**2 - 18*s**4 + 69/4*s**o + 21/4*s**5 + 0 = 0?
0, 3/7, 1, 2
Let z(d) = -11*d**2 - 93*d - 106. Let t(k) = 9*k**2 + 94*k + 105. Let g(v) = 6*t(v) + 5*z(v). Let g(p) = 0. What is p?
-1, 100
Let k(a) be the third derivative of -7*a**5/180 - 37*a**4/12 + 32*a**3/9 + a**2 + 175. Factor k(p).
-(p + 32)*(7*p - 2)/3
Suppose 0 = 5*y + s + 3656, -3*s - 1327 - 2331 = 5*y. Let q = y - -733. Factor -20/7*z**3 + 20/7*z - 4/7 + 4/7*z**q.
-4*(z - 1)*(z + 1)*(5*z - 1)/7
Let p(y) be the second derivative of y**6/105 + 2*y**5/7 - 163*y**4/42 - 26*y**3/3 - 2*y - 16. Factor p(m).
2*m*(m - 7)*(m + 1)*(m + 26)/7
Suppose -z - 12 = o, 5390*o + 60 = 5*z + 5387*o. Determine p, given that 484/3 - 40/3*p**2 - 154/3*p - 2/3*p**z = 0.
-11, 2
Let j(k) = -5*k**4 - 1960*k**3 + 1925*k**2 + 10. Let r(a) = a**3 + 3*a**2 - 1. Let b(m) = -j(m) - 10*r(m). Factor b(q).
5*q**2*(q - 1)*(q + 391)
Find w, given that -16/5 + 1/5*w**5 + 4*w**2 + 4/5*w - w**3 - 4/5*w**4 = 0.
-2, -1, 1, 2, 4
Let b(u) be the third derivative of u**6/60 - 4*u**5/15 + 5*u**4/4 - u**2 + 104*u. Solve b(i) = 0 for i.
0, 3, 5
Suppose -40*l + 38*l = 2*f - 14, 5 = f. Solve o**l - 205*o + 8*o**2 - 4*o**2 = 0 for o.
0, 41
Let r be 3 - (4/4 + 0). Let z = -2268 + 2268. Factor -1/5*b**r + 9/5*b + z.
-b*(b - 9)/5
Let i(r) be the first derivative of -r**4/10 - 968*r**3/15 + r**2/5 + 968*r/5 - 8606. Factor i(l).
-2*(l - 1)*(l + 1)*(l + 484)/5
Let s(a) be the first derivative of 1/12*a**5 - 22 + 0*a + 0*a**3 - 10*a**2 - 35/24*a**4. Let l(v) be the second derivative of s(v). Solve l(j) = 0 for j.
0, 7
Suppose 54*l**5 - 200*l**3 - 2*l**4 + 32*l**4 + 320*l**2 - 49*l**5 - 16*l**4 - 4*l**4 = 0. Calculate l.
-8, 0, 2, 4
Let a be (-5395)/12*(-1 + 14424/14440). Let n = a - -2/1083. Solve -n - 1/4*i + 1/4*i**2 = 0.
-1, 2
Determine t so that 4/5*t**2 + 1443/5*t - 361/5 = 0.
-361, 1/4
Let g(t) be the first derivative of t**5/60 + t**4/3 - 98*t + 49. Let b(d) be the first derivative of g(d). Suppose b(x) = 0. What is x?
-12, 0
Factor -3*g**3 - 588 - 217*g**2 + 530*g - 816*g - 602*g - 86*g**2.
-3*(g + 1)*(g + 2)*(g + 98)
Factor -30*g**3 - 264*g**3 + g**4 + 68*g - 768*g**2 - 68*g - 88*g**3.
g**2*(g - 384)*(g + 2)
Let p(r) = -r**2 + 28*r - 45. Let h(k) = 2*k**2 - 55*k + 92. Let z(a) = -6*h(a) - 11*p(a). Factor z(n).
-(n - 19)*(n - 3)
Suppose 3/7*s**2 - 888/7*s + 885/7 = 0. What is s?
1, 295
Let l be (32/18)/((-2)/(-3)). Let n = -134/3 + 46. What is s in -1/6*s**2 - n*s - l = 0?
-4
Let k(x) be the third derivative of x**5/90 + 371*x**4/9 + 550564*x**3/9 - 2551*x**2. Factor k(m).
2*(m + 742)**2/3
Suppose 4 - 11 = -2*q + 3*d, 4*q = 3*d + 17. Find a, given that 13*a**4 + 16*a**3 + 7*a**4 - 4*a**4 + a**5 + 3*a**q = 0.
-2, 0
Let a(o) = -22*o**3 + 5*o**2 + 3*o. Let g be a(-2). Let c = g - 124. Factor 48*q - 12*q**2 - c - 78 + 8*q**2.
-4*(q - 6)**2
Factor 184*n + 132*n**3 + 11 + 380*n**2 + 21 + 148*n**4 + 45*n**5 + 224*n**3 - 25*n**5.
4*(n + 1)**3*(n + 4)*(5*n + 2)
Find d, given that 3/7*d**2 - 1062/7 - 75*d = 0.
-2, 177
Let o(y) = 3*y + y**3 + 0 + 2 + 35*y**2 - 2*y - 34*y**2. Let c be o(2). Determine j so that -36*j**3 + 22*j**3 - 22*j**2 - 34 + 16*j**3 - c + 70*j = 0.
1, 5
Let l be 3 + (-5 - (-57)/6). Let v = l - 37/6. Let 0*a - v*a**3 + 2/3*a**2 + 2/3*a**4 + 0 = 0. What is a?
0, 1
Let z = 364 + -1091/3. Let h be ((-1)/(-7))/(7/98). Factor -1/3 - 2/3*c + z*c**4 + 0*c**h + 2/3*c**3.
(c - 1)*(c + 1)**3/3
Let n be ((-49)/245 - (-107)/35)*(-10)/((-20)/26). Factor n*o + 50/7*o**2 + 338/7.
2*(5*o + 13)**2/7
Suppose u + 43 = -4*o - 0, 3*o + 24 = 2*u. Let b(g) = -9*g**2 - 4*g + 13. Let f(i) = -4*i**2 - 2*i + 6. Let q(a) = o*f(a) + 4*b(a). Find c such that q(c) = 0.
-2, 1
Let b be (28 + -10 - (-4527)/(-252))*(-1 + 13). Suppose -3*a - 4*g - 6 = -4*a, -2*a - 2*g = -2. Find d, given that -2/7 + b*d + 5/7*d**a = 0.
-1, 2/5
Solve -52*j - 286*j + 49*j + 432 - 4*j**2 - 139*j = 0 for j.
-108, 1
Factor 123329 - 3412*o + 884162 + 447727 + 2*o**2.
2*(o - 853)**2
Let l(a) be the first derivative of a**6/24 + a**5/12 - 5*a**4/6 - 10*a**3/3 - 25*a**2 + 3. Let o(k) be the second derivative of l(k). Factor o(h).
5*(h - 2)*(h + 1)*(h + 2)
Find c such that -2/3*c**4 - 26/3*c**3 + 128/3 - 16/3*c - 28*c**2 = 0.
-8, -4, -2, 1
Solve -35 - 52568*x + 52513*x + 5*x**2 - 25 = 0.
-1, 12
What is s in 1113436 - 34*s - 5*s**2 - 3*s**2 - 1113394 = 0?
-21/4, 1
Let r be 3 + 7 + (-408)/32 + 3. Let b(k) be the first derivative of -15/4*k**3 - r*k**5 - 25/16*k**4 - 35/8*k**2 - 5/2*k + 16. Determine i so that b(i) = 0.
-2, -1
Factor -70*w**3 - 30*w**2 + 13 + 5*w**4 + 25*w**2 - 34*w + 47 - 51*w + 95*w**3.
5*(w - 1)**2*(w + 3)*(w + 4)
Let z(u) = -1553*u + 10873. Let s be z(7). Factor -1/4 + 1/2*g - 1/4*g**s.
-(g - 1)**2/4
Let u(h) be the first derivative of -3*h**4/4 + 256*h**3 + 774*h**2 + 2354. Determine c, given that u(c) = 0.
-2, 0, 258
Let n = -68 + 74. Let l = 18 + -16. What is c in -15*c - 7 - 28*c**l + 17 - 15*c**3 + n*c**2 - 18*c**2 = 0?
-2, -1, 1/3
Let 288/7 + 8*c - 4/7*c**2 = 0. Calculate c.
-4, 18
Suppose 134*f**3 + 310*f**2 + 60*f + 117*f**3 + 14*f**4 - 396*f**2 - 383*f**3 = 0. What is f?
-1, 0, 3/7, 10
Let w(k) be the third derivative of -5/6*k**4 + 1/4*k**5 - k**2 + 0*k + 1/6*k**6 - 5/2*k**3 - 1. Factor w(h).
5*(h - 1)*(h + 1)*(4*h + 3)
Let i be (-8 - (-212)/28) + (-18259)/42. Let j = -431 - i. Factor j + 1/6*p**2 + 5/3*p.
(p + 5)**2/6
Suppose 0*y + 8*y = 21*y - 195. Let b(z) be the first derivative of -4/21*z**3 + 1/28*z**4 - 2/7*z + 5/14*