 + ((-27676)/(-612) - 860/20). Solve -4/3 + 2/9*h - f*h**4 - 2/9*h**3 + 14/9*h**2 = 0.
-3, -1, 1, 2
Let z = 21 - 13. Find s such that -5*s**2 + z*s - 49*s + 21*s - 15 = 0.
-3, -1
Let t = -9 + 11. Suppose 2*q - 4 = -g, 6*q + t*g + 2 = 7*q. Find d such that q*d**2 + 12*d**3 - 17*d**2 + 3*d**4 + 0*d**3 = 0.
-5, 0, 1
Let c(a) be the second derivative of -3/80*a**5 + 0*a**2 - 1/8*a**4 + 2 + 1/120*a**6 - a + 1/3*a**3. Factor c(g).
g*(g - 4)*(g - 1)*(g + 2)/4
Let l(v) = 4*v**3 - 69*v**2 + 131*v - 26. Let k(f) = -4*f**3 + 70*f**2 - 134*f + 20. Let u(y) = 5*k(y) + 6*l(y). Determine d so that u(d) = 0.
1, 14
Let m(a) be the first derivative of a**7/140 - a**6/180 - a**5/30 + 47*a**3/3 - 68. Let y(w) be the third derivative of m(w). Determine c so that y(c) = 0.
-2/3, 0, 1
Let x(j) = j**2 + 4*j + 2. Let i be x(-2). Let w(c) = -3*c**2 + 15*c. Let t(k) = 2*k**2 - k. Let b(u) = i*t(u) - w(u). Factor b(y).
-y*(y + 13)
Let l = 982 - 973. Suppose -l*m - 225 = -252. Factor -6/13 - 12/13*k**2 + 2/13*k**4 - 16/13*k + 0*k**m.
2*(k - 3)*(k + 1)**3/13
Determine i so that 76/3*i**3 - 139*i - 109/3 - 120*i**2 = 0.
-1/2, 109/19
Let n be (0 + 21 + 2)*1. Let l = n - -30. Factor 4*b - l*b**3 + 107*b**3 - 2*b**2 - 56*b**3.
-2*b*(b - 1)*(b + 2)
Determine v so that -69*v**4 - 1655/4*v**3 - 1653/2*v**2 - 549*v + 2 = 0.
-2, 1/276
Factor -35520*a**3 + 35522*a**3 + 971*a + 514 + 518*a**2 + 59*a.
2*(a + 1)**2*(a + 257)
Suppose 3*u = -u. Suppose 5*z = -2*x, u = 2*x + x + 2*z. Solve -5*c**2 + 10 + x*c - 12*c + 3*c + 4*c = 0.
-2, 1
Let r(v) be the second derivative of -4/11*v**3 + 0 - 51*v + 0*v**2 + 1/66*v**4. Factor r(l).
2*l*(l - 12)/11
Let d(l) = -251*l - 36*l**2 + 420*l - 39 - 7*l**3 + 0*l**3 - 246*l. Let x(v) = 8*v**3 + 36*v**2 + 76*v + 36. Let m(t) = 4*d(t) + 3*x(t). Factor m(c).
-4*(c + 1)*(c + 2)*(c + 6)
Suppose -156*w - 1593 = -215*w. Let j be (w/12)/((-18)/(-21)). Factor 1/4 - 1/8*g - j*g**2.
-(3*g + 1)*(7*g - 2)/8
Let y(t) be the first derivative of -t**4/26 - 106*t**3/13 - 3864*t**2/13 - 51352*t/13 - 3952. Find l such that y(l) = 0.
-131, -14
Suppose 355*d - 349*d - 1296 = 0. Let k be 4/38*513/d. Factor 0 + k*s**2 + 7/4*s.
s*(s + 7)/4
Let u(d) be the second derivative of d**6/45 - d**5/10 + d**4/18 + d**3/3 - 2*d**2/3 - 6*d - 57. Factor u(a).
2*(a - 2)*(a - 1)**2*(a + 1)/3
Factor 688*q + 1/3*q**2 + 355008.
(q + 1032)**2/3
Let z = -11 + 27. Suppose -4 + z = 3*c. Factor 3 - 60*w + 56*w - 5 - 6 + c*w**2.
4*(w - 2)*(w + 1)
Let v be 1 - (20/(-22) - ((-325)/55 + 6)). Let p(i) be the second derivative of 1/9*i**4 + 0 - 4/27*i**3 - 8/9*i**v + 1/135*i**6 - i + 1/18*i**5. Factor p(x).
2*(x - 1)*(x + 2)**3/9
Let n(r) be the third derivative of 144*r**2 + 0*r + 1/3*r**3 + 5/12*r**4 + 0 - 1/5*r**5. Solve n(w) = 0 for w.
-1/6, 1
Let m be ((-14)/196*-21)/(1/(-50)). Let q be 25/(-6)*(14 - (-1365)/m). Solve -25 + q*n - 5/2*n**2 = 0 for n.
2, 5
Solve -26*c**5 - 9*c**5 + 360*c - 114*c**2 - 48*c**4 - 195*c**3 + 32*c**5 = 0 for c.
-10, -4, -3, 0, 1
Factor -1/5*k**2 + 14/5*k - 8.
-(k - 10)*(k - 4)/5
Let z = 2905 + -87149/30. Let u(s) be the third derivative of -1/60*s**6 + 1/12*s**4 + z*s**5 + 0*s + 0 - 1/105*s**7 - 12*s**2 + 0*s**3. Solve u(p) = 0.
-1, 0, 1
Find m, given that 0 - 359/2*m**3 + 1/2*m**4 + 0*m + 179*m**2 = 0.
0, 1, 358
Let k(u) = -1 - 8*u**2 + 9*u + 9*u**2 - 2*u**3 - 10 + 12*u**2. Let y be k(7). Factor -51*p - p**3 + 55*p - 2*p**2 - p**y.
-2*p*(p - 1)*(p + 2)
Suppose -19*j + 26*j = 203. Let b(y) = -7*y + 206. Let q be b(j). Determine t so that -1/2*t**2 + 1/6*t**q - 1/6 + 1/2*t = 0.
1
Let f = -461 - -469. Let z be 3/(2/f*6). Determine c so that -16/9*c + 2/9*c**z + 32/9 = 0.
4
What is r in -87/5*r + 18 - 3/5*r**2 = 0?
-30, 1
Let x(i) be the first derivative of -4*i**3/3 - 36*i**2 + 1440*i + 1367. Find h such that x(h) = 0.
-30, 12
Let h be 1 + 0 - (8 - 86). Let j = -77 + h. Factor -5 + j - 3*c**2 - 7*c**2 + 16*c**2 - 3*c**4.
-3*(c - 1)**2*(c + 1)**2
Let q(l) be the second derivative of l**4/4 + 109*l**3/2 - 333*l**2 - 174*l. Find n, given that q(n) = 0.
-111, 2
Let m(y) be the second derivative of 13*y**4/12 - 2*y**3/3 + y**2 + 12*y. Let l be m(11). Suppose -40 - 1534*a**2 + l*a**2 + 30*a + 13 = 0. What is a?
1, 9
Let o(q) be the first derivative of q**4 - 100*q**3/3 + 158*q**2 + 420*q - 957. What is d in o(d) = 0?
-1, 5, 21
Let c(b) be the second derivative of -25*b**4/36 + 269*b**3/18 + 11*b**2 + 343*b. Factor c(m).
-(m - 11)*(25*m + 6)/3
Suppose 0 - 2/9*p**2 - 76/9*p = 0. Calculate p.
-38, 0
Suppose 0 = v + 2*h - 9, -2*h + 3*h + 48 = 3*v. Factor -2*l**3 - 35*l - 4*l**3 - l**3 + 25*l**2 + v + 2*l**3.
-5*(l - 3)*(l - 1)**2
Let o be 2/(-5)*(-20)/6. Let w = -1/118724 + 1899587/356172. Factor w*p**2 + o*p**3 - 4/3*p - 16/3.
4*(p - 1)*(p + 1)*(p + 4)/3
Let h(w) = 14*w + 7. Let a be h(0). Factor -a*d**2 + 3*d**2 + 352*d + 16*d**2 + 138*d - 7*d**2.
5*d*(d + 98)
Let v(i) be the third derivative of -i**6/120 + i**3/6 + 164*i**2. Let z be v(1). What is k in z*k + 3/8*k**4 + 0*k**2 - 3/4*k**3 + 0 = 0?
0, 2
Let x(h) be the second derivative of -h**6/120 - 17*h**5/40 + 17*h**4/3 - 101*h**3/4 + 369*h**2/8 - 455*h. Suppose x(v) = 0. Calculate v.
-41, 1, 3
Suppose 0*v - 5*v + 3*a = 0, -v - a - 4*a = 0. Let h be (26/65)/(36/20). Let v + h*p**2 + 0*p = 0. What is p?
0
Let k(l) be the first derivative of 6*l + 1/12*l**4 + 62 - 1/2*l**2 - 4/9*l**3. Factor k(n).
(n - 3)**2*(n + 2)/3
Solve 92/3*y**3 - 36 - 272/3*y**2 - 2/3*y**5 - 4/3*y**4 + 98*y = 0.
-9, 1, 2, 3
Let l(s) = -4*s**2 + 61*s - 444. Let o(i) = 9*i**2 - 118*i + 882. Let t(b) = 7*l(b) + 3*o(b). Factor t(r).
-(r - 66)*(r - 7)
Let w(p) be the third derivative of -p**8/10080 - 19*p**7/2520 + 7*p**6/60 - 4*p**5/15 + 143*p**2 + p. Let a(v) be the third derivative of w(v). Solve a(i) = 0.
-21, 2
Let b be (-550)/(-19500) + 4/3. Let g = b - -9/65. Factor -3/2*s**3 - g*s**4 + 0 + 0*s**2 + 0*s.
-3*s**3*(s + 1)/2
Find p, given that 361924*p + 39131*p - 502002 - 164563*p**2 - p**4 + 1005*p**3 + 353952*p - 89446*p**2 = 0.
1, 2, 501
Let w(f) be the first derivative of -5*f**3/3 + 100*f**2 - 563. Factor w(j).
-5*j*(j - 40)
Let j(a) be the third derivative of -a**5/180 - 127*a**4/9 + 1512*a**2. Determine x, given that j(x) = 0.
-1016, 0
Let k(y) be the second derivative of -y**4/54 + 10*y**3/27 + 200*y**2/9 - 2874*y. Factor k(n).
-2*(n - 20)*(n + 10)/9
Let d be (-214)/(42/38 + (-4)/4). Let m = -34559/17 - d. Let m*x**3 - 6/17*x**2 + 4/17*x + 0 = 0. What is x?
0, 1, 2
Let q(s) be the second derivative of 5*s**4/12 + 1255*s**3/6 + 1245*s**2 + 756*s. Factor q(h).
5*(h + 2)*(h + 249)
Let y(i) be the first derivative of 2*i**3/21 + 7*i**2 - 312*i/7 + 4661. Factor y(d).
2*(d - 3)*(d + 52)/7
Let h = 289 - 390. Let o = h + 103. Find y such that 21/2*y**4 + 801/2*y**o + 237/2*y**3 + 735/2*y + 75 = 0.
-5, -1, -2/7
Let g(w) = -w**4 + w**3 + w**2 + w + 12. Let l(r) = 6*r**4 + 17*r**3 + 35*r**2 + 9*r - 45. Let v(d) = -3*g(d) - l(d). Factor v(z).
-(z + 1)*(z + 3)**2*(3*z - 1)
Determine q, given that 720 - 2577*q - 4*q**3 + 1133*q + 529*q**2 + 199*q**2 = 0.
1, 180
Let p be 1*5*(-9 - (-7 - 3)). Factor 4*u**3 + 8*u**4 - 13*u**3 + 0*u**5 + p*u**3 - 4*u**5.
-4*u**3*(u - 1)**2
Let c be (3/((-18)/(-50)))/(75/225). Let a(q) = -8*q + 200. Let d be a(c). Find z such that -2/3*z**4 - 16*z**2 - 6*z**3 - 32/3*z + d = 0.
-4, -1, 0
Let j(b) = b**2 - 17*b + 74. Let n be j(8). Determine y, given that -6 - 8*y - y + 2*y**4 - y + n*y + 4*y**2 + 8*y**3 = 0.
-3, -1, 1
Suppose 39*u + 24 = 45*u. Let c(q) = -11*q**2 - 79*q - 968. Let t(j) = 5*j**2 + 40*j + 484. Let f(v) = u*c(v) + 9*t(v). Factor f(m).
(m + 22)**2
Let f(a) be the third derivative of 0 - 1/900*a**6 - 1/36*a**4 + 2/45*a**3 - 11*a**2 - a + 2/225*a**5. Factor f(p).
-2*(p - 2)*(p - 1)**2/15
Suppose 3*t = 2*n + 1, 0 = 5*t - 3*t - 6. Let b be 57/11 - 2/11. Factor 0*d**3 - 3*d**n - b*d**5 + 2*d**5 + 6*d**3 + 3*d**2 - 3*d**3.
-3*d**2*(d - 1)*(d + 1)**2
Let b = 4291 - 4288. Let g be (-1)/(-4 - (-30)/12). Determine h, given that g*h - 4*h**2 + 16/9*h**b + 4/9 = 0.
-1/4, 1/2, 2
Let i = -10632/959 + 1558/137. Factor 324/7 - 6/7*p**3 + 270/7*p + 54/7*p**2 - i*p**4.
-2*(p - 6)*(p + 3)**3/7
Let h(z) be the first derivative of -z**5 + 5/3*z**3 + 71 + 0*z - 5*z**2 + 5/2*z**4. Suppose h(v) = 0. What is v?
-1, 0, 1, 2
Let a(g) be the seco