**3 + 3330*d**2 + 27*d - 2057. Factor m(s).
3*(370*s + 3)**2
Let f(i) = -i**2 + 4*i + 98. Let r be f(-8). Solve 3*u**2 - 5*u**2 - 7*u - 2*u**2 + 3*u**r - 10 = 0.
-5, -2
Let v be (-2)/(-5)*110/2046. Let j = v - -29/93. What is f in 1/3*f**2 + 0*f + j*f**3 + 0 = 0?
-1, 0
Suppose 44*g = 31*g + 702. Suppose -29*q + g = -11*q. Factor 0 + 10/3*c**q - 5/3*c**4 - 10/3*c + 5/3*c**2.
-5*c*(c - 2)*(c - 1)*(c + 1)/3
Find y, given that -2/3*y**5 - 23/6*y**2 + 32/3*y**3 - 13/6*y**4 + 6 - 10*y = 0.
-6, -1, 3/4, 1, 2
Let y be (-16)/12*(-6)/4. Suppose -y*o = -3 + 1. Let 5*g**2 + 3*g - 9 - o + 2*g = 0. Calculate g.
-2, 1
Suppose -4*u + z + 63 = 0, 4*u - 22 = -5*z + 23. Suppose 27*b = 5*b - u*b. Suppose -2/11*x**2 + b*x + 2/11 = 0. Calculate x.
-1, 1
Let s(o) = o**2 - 2*o + 2. Let u = -88 - -91. Let r be s(u). Find p such that -r*p**3 - 8*p - 35*p**2 + 3*p**3 + 27*p**2 = 0.
-2, 0
Determine h, given that 182/5 - 1/5*h**2 - 1/5*h = 0.
-14, 13
Let j = -40757 + 40765. Determine l, given that -16/5 - 14/5*l**3 - 36/5*l**2 - 2/5*l**4 - j*l = 0.
-2, -1
Let v = -22 - -27. Let f(s) = s**3 - 3*s**5 - 42*s**4 + 43*s**4 + s + 2*s**v. Let x(o) = o**2 + o. Let j(k) = -2*f(k) + 2*x(k). Factor j(m).
2*m**2*(m - 1)**2*(m + 1)
Suppose 8*x + 10 = 2. Let d be 0 + (x/(-3) - 55/(-33)). Factor 2*t**3 - d*t + 6/5*t**2 - 6/5.
2*(t - 1)*(t + 1)*(5*t + 3)/5
Let y(n) = -n**2 + 21*n - 11. Let u be y(24). Let c = -579/7 - u. Factor -4/7 + c*b**2 + 2/7*b.
2*(b - 1)*(b + 2)/7
Suppose 3*a - 11*a - 27*a = 0. Let g(v) be the third derivative of 0*v - 1/315*v**7 + a*v**4 - 1/90*v**6 + 6*v**2 + 0 - 1/90*v**5 + 0*v**3. Factor g(t).
-2*t**2*(t + 1)**2/3
Let i(s) be the second derivative of s**7/140 + 7*s**6/180 - s**4/3 + s**3/6 + 7*s**2/2 + 6*s - 2. Let b(d) be the second derivative of i(d). Factor b(f).
2*(f + 1)*(f + 2)*(3*f - 2)
Let y be 14*(30 + (-4095)/140). Let -3/2*x**3 + 0 - 9*x + y*x**2 = 0. Calculate x.
0, 1, 6
Factor -493*m**3 + 0 + 21*m**4 - 1/3*m**5 - 19652*m + 15317/3*m**2.
-m*(m - 17)**3*(m - 12)/3
Let v(z) be the first derivative of -1/10*z**5 - 8/3*z**3 - 21 + 0*z**2 - 27*z + z**4. Let a(h) be the first derivative of v(h). Find c, given that a(c) = 0.
0, 2, 4
Find t such that 20*t**3 + 60736*t - 300166*t - 1382*t**2 - 22*t**3 - 238050 = 0.
-345, -1
Suppose -5*a - d = -237 + 231, -4*a - 2*d = 0. Solve -2*j - 2/7*j**a + 0 = 0.
-7, 0
Let b be -1625 + 1636 + (-2 + 1)*-4*14/(-8). Determine t, given that 0*t + 24/5*t**2 - 14/5*t**3 - 1/5*t**b + 1/5*t**5 + 0 = 0.
-4, 0, 2, 3
Let s(t) = -5*t**3 - 51*t**2 - 13*t + 60. Let a(b) = -b**3 - 13*b**2 - 3*b + 15. Suppose -56*k + 60*k = 36. Let p(c) = k*a(c) - 2*s(c). What is f in p(f) = 0?
-1, 1, 15
Let k(w) be the third derivative of w**8/1512 - w**7/135 + w**6/36 - 13*w**5/270 + w**4/27 - 163*w**2. Solve k(r) = 0 for r.
0, 1, 4
Let x(w) be the third derivative of w**6/1080 - 5*w**5/72 + w**4/3 - 101*w**3/6 + 14*w**2 + 4*w. Let v(b) be the first derivative of x(b). Factor v(c).
(c - 24)*(c - 1)/3
Let v(z) be the third derivative of -1/570*z**5 + 3*z - 29/38*z**4 - 13*z**2 + 0 - 2523/19*z**3. Find q such that v(q) = 0.
-87
Let g(n) = n**2 - 3*n - 1. Let z(t) = t**3 + 432*t**2 + 1765*t + 1747. Let i(o) = -35*g(o) - 5*z(o). Factor i(s).
-5*(s + 2)**2*(s + 435)
Let i = 42 - 44. Let w(o) = o**2 + o + 1. Let r(k) = 5*k - 36*k - 23 + 34 - 2*k**2. Let f(t) = i*r(t) - 10*w(t). Factor f(c).
-2*(c - 8)*(3*c - 2)
Factor 2/9*q**2 - 252*q - 2270/9.
2*(q - 1135)*(q + 1)/9
Suppose 0 = 27*s + 5760 - 18639. Find x such that -s*x**2 - 8*x**3 + 493*x**2 - 12 - 4*x**4 + 2*x + 6*x = 0.
-3, -1, 1
Let f = 291 + -285. Let r(x) be the second derivative of 0 - 1/252*x**7 + 0*x**3 + 1/120*x**5 + 1/72*x**4 + 0*x**2 - 1/180*x**f - 10*x. Let r(y) = 0. What is y?
-1, 0, 1
Let s(u) be the third derivative of -7*u**2 + 9/4*u**4 + 243*u**3 + 1/120*u**5 + 0 + u. Solve s(l) = 0.
-54
Let w(j) be the second derivative of 30*j**2 + 26*j - 1/4*j**5 - 40/3*j**3 + 2 + 35/12*j**4. Find n, given that w(n) = 0.
2, 3
Suppose 0 = 5*x + 7*p - 111, -61*p = 2*x - 64*p + 31. Factor 7/2*u**3 - 14*u + 0 - 1/2*u**x + 2*u**2.
-u*(u - 7)*(u - 2)*(u + 2)/2
Let a(n) = n + 8. Let u be a(-6). Factor -672*t**4 - 64*t**5 - 226*t**u - 100*t - 240*t**3 - 614*t**2 - 1684*t**3.
-4*t*(t + 5)**2*(4*t + 1)**2
Let h(z) = 2 - 12*z + 10*z**2 + 13*z**3 + 9*z**3 + 8*z**3 - 34*z**3. Let b(u) = 5*u**3 - 11*u**2 + 13*u - 1. Let k(n) = 2*b(n) + 3*h(n). Factor k(q).
-2*(q - 2)*(q - 1)**2
Let d = -332578/15 + 22172. Let w(v) be the second derivative of 0*v**2 + 36*v**4 + 26*v + d*v**6 + 0 + 144*v**3 + 18/5*v**5. Factor w(k).
4*k*(k + 6)**3
Let j(o) be the second derivative of o**6/480 + o**5/24 + 9*o**4/32 + 3*o**3/4 + 26*o**2 + 163*o. Let p(r) be the first derivative of j(r). Factor p(f).
(f + 1)*(f + 3)*(f + 6)/4
Let t be (-4485)/966*8/(-20) - 3/21*-1. Factor -1/5 + 2/5*u**t - 1/5*u.
(u - 1)*(2*u + 1)/5
Let p(f) be the second derivative of 16*f - 1/2*f**4 - 7/9*f**3 - 2/3*f**2 - 3 - 1/45*f**6 - 1/6*f**5. Factor p(x).
-2*(x + 1)**3*(x + 2)/3
Let -8/3*j + 22/9*j**3 + 56/9 + 2/9*j**5 + 10/3*j**4 - 86/9*j**2 = 0. What is j?
-14, -2, -1, 1
Suppose 4*d - 2 = s, 13 = 4*s + 54*d - 49*d. Factor -2/15*a**s + 4/5 + 2/15*a.
-2*(a - 3)*(a + 2)/15
Let g(q) = 22*q**3 + 10521*q**2 - 7371015*q + 1722360505. Let m(u) = 35*u**3 + 21040*u**2 - 14742030*u + 3444721010. Let r(v) = -5*g(v) + 3*m(v). Factor r(i).
-5*(i - 701)**3
Let j(b) be the second derivative of b**6/40 + 3*b**5/20 - 203*b**4/16 - 855*b**3/4 - 972*b**2 - 5068*b. What is d in j(d) = 0?
-9, -2, 16
Let z be (-306)/(-4) + (-9)/(-2) + -5. Let y = -69 + z. Suppose y*r + 10*r**3 - 11*r - 6*r - 5*r**4 - 40 + 45*r**2 = 0. What is r?
-2, -1, 1, 4
Let d(i) be the first derivative of -i**4/48 + i**3/12 + 3*i**2/8 - 21*i + 9. Let h(k) be the first derivative of d(k). Factor h(l).
-(l - 3)*(l + 1)/4
Suppose c = 2*r - 9, 91*c - 5*r + 20 = 88*c. Let l be 6/(-21)*(-3)/2. Find g such that -3/7*g**c + 0 + 9/7*g**2 + 6/7*g - 9/7*g**4 - l*g**3 = 0.
-2, -1, 0, 1
Determine v, given that -123 + 123*v - 52*v**2 + 79 - 31*v + 4*v**3 = 0.
1, 11
Let s(b) be the second derivative of 5*b**4/12 - 115*b**3/6 - 6*b - 30. Solve s(w) = 0 for w.
0, 23
Suppose 3*c = -12, -4*p - c + 0*c + 16 = 0. Let -6*t**2 - p*t**3 + 9*t**3 - 7*t**3 + 3*t + 6 = 0. What is t?
-2, -1, 1
Let n be (2/(-21)*-6)/(30/21). Let p = 1511 - 7553/5. Factor p*c**3 - 2/5*c + 2/5 - n*c**2.
2*(c - 1)**2*(c + 1)/5
Let j(b) be the second derivative of b**5/10 - 853*b**4/6 + 60776*b**3 - 181476*b**2 + 1466*b. Factor j(h).
2*(h - 426)**2*(h - 1)
Let c be (1 - 7) + (3 - 35/(-7)). Find y, given that 18 - 126*y**3 - y**5 + 25*y - 4*y + 6*y**2 + 106*y**3 - 16*y**c - 12*y**4 + 4*y**4 = 0.
-3, -2, -1, 1
Suppose 0 = 2*u - 5*v - 35, 4*u - 43 = -0*u + v. Factor 172 + u*l + 192 - 379 + 10*l**3 + 35*l**2.
5*(l + 1)*(l + 3)*(2*l - 1)
Factor 1353 + 5*u**3 - 160*u**2 + 1625*u - 4906 - 1517.
5*(u - 13)**2*(u - 6)
Factor -1/3*d**3 - 8/3*d**2 + 98 + 287/3*d.
-(d - 14)*(d + 1)*(d + 21)/3
Let f(h) be the first derivative of h**6/3 + 88*h**5/5 + 659*h**4/2 + 7112*h**3/3 + 2940*h**2 + 6425. Let f(k) = 0. What is k?
-15, -14, -1, 0
Solve -2/3*b**3 + 920/3*b**2 + 0 - 105800/3*b = 0.
0, 230
Let r(u) be the first derivative of 58/3*u**3 + 36*u - 266 + 9/2*u**4 + 2/5*u**5 + 39*u**2. Factor r(p).
2*(p + 1)*(p + 2)*(p + 3)**2
Let v(j) be the first derivative of j**5/240 - 3*j**4/32 + 3*j**3/4 + 35*j**2 + j + 81. Let o(p) be the second derivative of v(p). Find b such that o(b) = 0.
3, 6
Let z(i) = -26*i + 600. Let a be z(23). Let v = -179/12 + 65/4. Factor -4/3 - 1/3*m**a - v*m.
-(m + 2)**2/3
Let h(y) be the first derivative of -7*y**3/3 + y**2/2 + y + 177. Let r(m) = -m + 1. Let q be -6 + (-3)/(-1*3). Let x(j) = q*h(j) + 5*r(j). Factor x(a).
5*a*(7*a - 2)
Suppose -619*u**2 + 110*u + 1851*u**2 - 626*u**2 - 621*u**2 - 195 = 0. Calculate u.
3, 13/3
Let f = -1 + 1. Suppose f = -n, -4*n + 18 = 5*x + 3. Solve 58*o**5 - 6*o**4 + o**3 - 62*o**5 + 8*o**2 - 2 + 2*o**x + o**3 = 0.
-1, 1/2, 1
Let x(i) be the first derivative of -4*i**3 + 152*i**2 - 804*i - 4771. Factor x(y).
-4*(y - 3)*(3*y - 67)
Let u(l) be the first derivative of -l**5/5 + 17*l**4/4 + 41*l**3 - 293*l**2/2 + 154*l - 561. Let u(j) = 0. What is j?
-7, 1, 22
Let 14 + 143*s**2 + 5*s**5 - 185*s**3 - 14 - 434*s**4 - 48*s**