 (-5)/b + (15 - (-949)/(-78)). Solve -u*x**3 - 8/9*x - 4/3 + 13/9*x**2 = 0 for x.
-2/3, 2, 3
Let j(d) = 15*d**4 - 195*d**3 + 3*d**2 + 177*d. Let m(f) = 8*f**4 - 98*f**3 + 2*f**2 + 88*f. Let h(p) = 5*j(p) - 9*m(p). Let h(r) = 0. Calculate r.
-1, 0, 1, 31
Let j(x) = -x**2 + 3*x + 75. Let p be j(10). Factor 15*d**3 + d**4 - 26*d - 3*d**4 - 54 - 8*d**2 + p*d**3 - 58*d + 0*d**4.
-2*(d - 9)*(d - 3)*(d + 1)**2
Let f be (35/(-30))/(902/(-1353)). Determine c so that -f*c - 1/4*c**2 - 5/2 = 0.
-5, -2
Suppose 0 = d - 2*a - 557, 5*a = -49 + 54. Let c = d - 557. Find q, given that 4/7*q - 1/7*q**c - 4/7 = 0.
2
Let u = -554 - -554. Let h be ((-120)/35)/(5/(-7) - u). Solve -42/5*b**2 + 0*b + 6/5*b**5 + 18/5*b**4 + h - 6/5*b**3 = 0 for b.
-2, -1, 1
Let g = 107 + -114. Let v be 4/14 + -1*726/g. Factor -52*o + o**3 - 53*o + v*o.
o*(o - 1)*(o + 1)
Suppose -116 + 1508 = 696*d. Let 2/7*u**3 - 21168 + 1512*u - 36*u**d = 0. Calculate u.
42
Let m = 716 + -713. Factor -2*h**3 + m*h**3 + 155*h**2 - 9*h**3 - 64*h - 86*h + 3*h**3.
-5*h*(h - 30)*(h - 1)
Let j(w) = 44*w - 213. Let g be j(-9). Let p = g + 2441/4. Factor p*r**2 + 0 - 5/4*r.
5*r*(r - 1)/4
Let o(n) be the third derivative of n**6/24 + n**5/12 - 5*n**4/4 - 241*n**2 + 5. Factor o(r).
5*r*(r - 2)*(r + 3)
Suppose 2*o - 641 = 5*d, 256 = -2*d + 2*o - o. Let g = -643/5 - d. Let 2/5*x - 2/5*x**3 + 0 - 2/5*x**4 + g*x**2 = 0. What is x?
-1, 0, 1
Let q = 467939 + -1403812/3. Determine x so that 0 - q*x**5 - 30*x - 235/3*x**2 - 205/3*x**3 - 65/3*x**4 = 0.
-9, -2, -1, 0
Factor 66 - 1/2*t**2 - 41/2*t.
-(t - 3)*(t + 44)/2
Let x(w) = -349*w + 4546. Let r be x(13). Let c(v) be the first derivative of -3/8*v**4 + 3*v**3 + 12*v - r*v**2 - 30. Let c(n) = 0. Calculate n.
2
Let m = 13152 - 118364/9. Let q(s) be the first derivative of 23 - m*s + 2/45*s**5 - 2/9*s**3 + 1/18*s**4 - 5/9*s**2. Find v, given that q(v) = 0.
-1, 2
Let q = -331/2 + 191. Let v = -4906 - -4908. Solve 9/2*t**5 - q*t + 21*t**4 - 9 + 21*t**3 - 12*t**v = 0 for t.
-3, -1, -2/3, 1
Let f(k) be the second derivative of 20/3*k**6 + 58/3*k**4 + 23/3*k**3 + 0 + 4/21*k**7 - 186*k + 189/10*k**5 + 0*k**2. Determine c, given that f(c) = 0.
-23, -1, -1/2, 0
Let w(x) be the first derivative of -x**4/12 - 64*x**3/9 - 299*x**2/6 - 236*x/3 + 285. Factor w(t).
-(t + 1)*(t + 4)*(t + 59)/3
Let i(o) = 10*o + 112. Let f be i(-11). Factor 16*d**2 - 36*d**f - 100*d + 4*d**3 - 5*d**3.
-d*(d + 10)**2
Let d(o) be the second derivative of o**7/5880 - o**6/105 + 3*o**5/56 - 61*o**4/12 + 78*o. Let x(t) be the third derivative of d(t). Let x(l) = 0. Calculate l.
1, 15
Factor -108 - 5826*k + 2909*k + 2893*k - k**2.
-(k + 6)*(k + 18)
Let h(r) = -2*r + 2. Let o be h(4). Let m be (21/o - -2)/(6/(-12)). Suppose 16*u**4 + m*u**2 - 10*u**4 - 9*u**4 = 0. What is u?
-1, 0, 1
Let n(v) be the first derivative of v**4/18 + 44*v**3/27 - 474. Let n(l) = 0. What is l?
-22, 0
Let c be 0/1 + (33 - 31). Suppose -26*o + 27*o = c. What is j in 0 + 2*j + 2/3*j**o = 0?
-3, 0
Let n(c) = -2*c. Let i(z) = -5*z**2 - 82*z - 75. Suppose 3*d = 3*l + 9, 17*d = l + 14*d + 7. Let j(w) = l*n(w) + i(w). Let j(f) = 0. What is f?
-15, -1
Let h = -1548 + 1550. Let m(u) be the first derivative of -1/3*u**5 + 0*u - 5/3*u**3 + 3 - 5/4*u**4 - 5/6*u**h. Let m(t) = 0. Calculate t.
-1, 0
Let t(p) = -3*p**2 - 46*p + 8. Let i = -104 + 100. Let a(z) = 6*z**2 + 91*z - 14. Let u(o) = i*a(o) - 7*t(o). What is h in u(h) = 0?
-14, 0
Suppose 0 = -4454*b + 4459*b - 40. Let c(m) be the second derivative of 2*m**2 + 0 + 2/3*m**4 - 5/3*m**3 - b*m - 1/10*m**5. Factor c(v).
-2*(v - 2)*(v - 1)**2
Suppose -4310 = -3*v + 7. Find a such that -2*a**4 - 1439*a**3 + v*a**3 + 6*a**2 + 4*a = 0.
-1, 0, 2
Let o(f) be the third derivative of -f**7/5880 + f**6/504 - f**5/105 + f**4/42 + 151*f**3/6 - f**2 + 32. Let k(b) be the first derivative of o(b). Factor k(x).
-(x - 2)**2*(x - 1)/7
Let g(r) = 9*r**3 + 3*r**3 + 154*r - 78*r**2 - 86*r. Let l(w) = w**3 - 7*w**2 + 6*w. Let o(q) = 6*g(q) - 68*l(q). Determine b, given that o(b) = 0.
-2, 0
Factor -282/7*s + 2/7*s**2 + 0.
2*s*(s - 141)/7
Let g(i) be the third derivative of i**5/450 - 11*i**4/60 + 46*i**3/9 + 1528*i**2. Factor g(m).
2*(m - 23)*(m - 10)/15
Let g = -284967 - -1424837/5. Let 0 + 1/5*s**4 + g*s - 1/5*s**2 - 2/5*s**3 = 0. What is s?
-1, 0, 1, 2
Let t be 68/1 + 762508/(-12065). Solve 76/5*y + 52/5*y**2 + t = 0 for y.
-1, -6/13
Suppose -4*c - 45 = -5*u, -8 = -3*u + 7. Let b be 14*(-1)/c - (-892)/(-1115). Factor -243/7*k**5 + 135/7*k**4 + 96/7*k**3 + 12/7*k**b + 0*k + 0.
-3*k**2*(k - 1)*(9*k + 2)**2/7
Suppose -366 = -5*s + y, 3*s - 3*y - 230 = -5*y. Let r = 77 - s. Let 14*p**2 + 2*p**4 - 22*p**4 + 25*p**r + 5*p**5 - 24*p**2 = 0. Calculate p.
0, 1, 2
Let n(v) be the second derivative of -v**5/70 + v**4/6 + 3*v**3/7 - 9*v**2 - 101*v. Factor n(t).
-2*(t - 7)*(t - 3)*(t + 3)/7
Suppose -z = -2*d - 31 - 12, -2*d = z + 33. Let a be -9 - d - -5 - (-1 - 2). Solve -136/9*u + 26*u**3 - a*u**4 + 244/9*u**2 + 16/9 = 0 for u.
-1, 2/9, 2
Let y(f) be the third derivative of -f**5/300 + f**4/40 + 2*f**3/15 + 2*f**2 + 477. Factor y(w).
-(w - 4)*(w + 1)/5
Let o(d) be the second derivative of 0*d**2 - 1/27*d**4 - 52*d + 1 + 7/45*d**5 + 0*d**3 - 13/270*d**6. Factor o(b).
-b**2*(b - 2)*(13*b - 2)/9
Let n be 1/(-2)*(13 + -29). Let h be ((-64)/30)/(-2)*20/n. Factor -h + 10/3*q - 2/3*q**2.
-2*(q - 4)*(q - 1)/3
Let r be (3/3 - (62 - 56)) + 8. Determine t, given that 2/5*t**4 + 12/5*t**r + 0 - 12/5*t - 2/5*t**2 = 0.
-6, -1, 0, 1
Find s such that -1150/3*s + 24*s**3 - 112 + 5/3*s**4 - 249*s**2 = 0.
-21, -1, -2/5, 8
Let o(c) be the first derivative of -135*c**5 - 2355*c**4/4 - 882*c**3 - 2106*c**2/5 + 648*c/5 + 2053. Factor o(q).
-3*(5*q + 6)**3*(9*q - 1)/5
Let a be (45/(-25))/((-198)/(-60)) - (-72)/132. Factor 2/3*f + 2/3*f**2 + a.
2*f*(f + 1)/3
Let i be 0/((-3 - -11)*((-21)/(-14) - 1)). Factor i*a + 3/2*a**2 - 3/2*a**3 - 189/8*a**4 + 0.
-3*a**2*(7*a + 2)*(9*a - 2)/8
Let x(m) be the third derivative of -3*m + 0*m**5 + 2/9*m**3 - 25*m**2 + 0 + 1/180*m**6 - 1/12*m**4. Suppose x(l) = 0. Calculate l.
-2, 1
Factor 10*z**4 - 30885*z**3 + 0*z**4 + 6*z**2 + 30899*z**3 + 2*z**5.
2*z**2*(z + 1)**2*(z + 3)
Suppose -4*s + 8 = 2*y, 2*s - 12 = y + 2*y. Factor -5*k - 10*k + 3*k - 4*k**2 - 4*k**4 + 12*k**s + 8.
-4*(k - 2)*(k - 1)**2*(k + 1)
Let h(v) = -v**3 + v**2 + 4*v - 1. Let d be h(-2). Factor -2*j**2 - 5*j - j**3 + 2*j**d - 2 + 9 - 1.
(j - 3)*(j - 1)*(j + 2)
Let s(w) be the third derivative of 7*w**6/360 - 13*w**5/45 - 95*w**4/72 - 2*w**3 - w**2 - 57*w + 6. Find r, given that s(r) = 0.
-1, -4/7, 9
Suppose 31*m = 59 + 3. Suppose 4*c - 6 = 5*o + 11, 0 = m*c + 3*o - 3. Find d such that 0*d**2 - 4/5*d**c + 0*d + 0 = 0.
0
Let k(s) = -2*s**2 + 17*s - 33. Let m be k(4). Let q = 89/340 - 1/85. Factor 0*g - 1/4*g**m + 0 + 1/4*g**4 + 1/4*g**5 - q*g**2.
g**2*(g - 1)*(g + 1)**2/4
Suppose 3*p = -3*m + 36, -8*m + 3*m + 5*p = -20. Let c(k) = k**3 - 7*k**2 - 3*k - 37. Let j be c(m). Factor 4/5 + v**4 - 2/5*v**3 - j*v**2 - 4/5*v.
(v - 2)*(v + 1)**2*(5*v - 2)/5
Let k(u) = -3*u**3 + 24*u**2 - 9*u - 42. Let g(c) = 7*c**3 - 47*c**2 + 19*c + 86. Let s(x) = 6*g(x) + 13*k(x). Factor s(f).
3*(f - 1)*(f + 1)*(f + 10)
Let 270/11*j + 2/11*j**3 - 48/11*j**2 + 0 = 0. Calculate j.
0, 9, 15
Let m(h) be the first derivative of 0*h**2 + 8/3*h**3 + 6*h**6 + 0*h - 9*h**4 - 8/5*h**5 - 57. Suppose m(u) = 0. Calculate u.
-1, 0, 2/9, 1
Let s(m) be the second derivative of -m**7/7560 - m**6/240 - m**4/12 - 24*m**2 - 8*m. Let y(d) be the third derivative of s(d). Factor y(o).
-o*(o + 9)/3
Let b(o) = 5*o**3 + 2*o. Let q(u) = -75*u**3 + 185*u**2 + 30*u. Let j(p) = -20*b(p) - q(p). Factor j(l).
-5*l*(l + 7)*(5*l + 2)
Let y be (2/4 - (-7569)/(-1170)) + 5 - -1. Let z(d) be the first derivative of y*d**5 + 0*d**2 + 1/13*d**4 + 0*d - 3 - 2/13*d**3. Let z(p) = 0. What is p?
-3, 0, 1
Suppose -61 = -4*w - 5. Let d = w - 13. Factor -18*n + 20*n**2 + 5*n - d + 11 - 5*n**3 - 12*n.
-5*(n - 2)*(n - 1)**2
Let a(y) be the third derivative of y**6/120 - y**5/20 - 3*y**4/8 + 2*y**3 - 14*y**2. Let f be a(5). Factor -2*v**4 - 9*v - 7*v**2 + f*v - 5*v**2 + 8*v**3 - 2.
-2*(v - 1)**4
Let n(v) = -2*v**2 + 68*v - 63. Let h(m) = -m**2 - 13*m + 21. Let c be h(-12). Let q be n(c). Factor -2/5*b + 2/5*b**q + 0 -