 + 77)**2
Let f(a) be the second derivative of a**6/165 + 17*a**5/55 + 263*a**4/66 + 230*a**3/33 - 13279*a. Determine b, given that f(b) = 0.
-23, -10, -1, 0
Suppose 2*h - 38 = -7*y + 7, -45 = 5*y - 5*h. Determine a, given that -2/5*a**5 + 8/5*a**4 + 0*a + 0*a**2 + 0 - 8/5*a**y = 0.
0, 2
Suppose 4*o - j - 3 = 0, -2*j = 3*o - 4*j + 4. Factor -2*k**4 - o*k**3 + 8*k - 4*k**2 - 11*k**2 + 4*k**4 + 7*k**2.
2*k*(k - 2)*(k - 1)*(k + 2)
Let i = 703946 - 3519723/5. Solve 22/5*g - i + 5*g**2 - 4/5*g**3 = 0.
-1, 1/4, 7
Find d, given that 275*d - 180 + 4*d**3 + 601*d**2 - 635*d**2 - 653*d = 0.
-6, -1/2, 15
Let r(s) be the first derivative of -4*s**3/3 - 1014*s**2 - 2024*s - 190. Find v such that r(v) = 0.
-506, -1
Suppose 2*l = -3*l + 15. Let q = 257221 + -771658/3. Find k such that -5/2*k**2 - q*k - 5/6*k**l + 0 = 0.
-2, -1, 0
Let l = 931 - 375. Factor -538*z + 26*z**2 + l*z - 3*z**4 - 5*z**2.
-3*z*(z - 3)*(z + 1)*(z + 2)
Factor -1305/2*y + 3/2*y**2 + 651.
3*(y - 434)*(y - 1)/2
Let o = 6609 - 6602. Let w(k) be the second derivative of 0 + 0*k**2 + o*k - 1/4*k**4 + k**3. Factor w(z).
-3*z*(z - 2)
Let c = -7932 - -7937. Let o(h) be the first derivative of 15 - 9/20*h**c - h - 61/12*h**3 + 7/2*h**2 + 21/8*h**4. Factor o(v).
-(v - 2)**2*(3*v - 1)**2/4
Let a(l) = 6*l**3 + 52*l**2 - 2666*l + 2588. Let n(r) = r**3 + 2*r**2 - r - 22. Let f(k) = -a(k) + n(k). Factor f(s).
-5*(s - 18)*(s - 1)*(s + 29)
Let d(t) be the second derivative of -1/3*t**4 + 0*t**2 - 1/5*t**5 + 117*t + 4/3*t**3 + 0. Factor d(y).
-4*y*(y - 1)*(y + 2)
Let y(z) be the first derivative of z**4/10 + 23*z**3/15 + 14*z**2/5 + 20*z + 1. Let l(s) be the first derivative of y(s). Factor l(o).
2*(o + 7)*(3*o + 2)/5
Let y(l) = 2*l**3 - 8*l**2 - 37*l + 51. Let h be y(16). Factor -53*w**4 - 39*w**4 - 5607*w**2 - 2*w - 52*w**3 - 44*w**5 + 2*w + h*w**2.
-4*w**2*(w + 1)**2*(11*w + 1)
Let u(k) be the second derivative of -22/9*k**4 - 6*k**2 - 8/15*k**5 + 22 - 2/45*k**6 + k - 16/3*k**3. Find r such that u(r) = 0.
-3, -1
Let h be 12 + (25/(-50))/((-33)/(-704)). Suppose b - 2 = -0*b. Factor -2*a - 2/3*a**b - h.
-2*(a + 1)*(a + 2)/3
Let s(k) = k**4 - 2*k**3 + k**2 + k. Let w(m) = 2*m**4 + m**3 + 30*m**2 + 32*m + 10. Suppose 288 = 13*a + 35*a. Let t(o) = a*s(o) - 2*w(o). Solve t(h) = 0.
-1, 10
Let g be 4/(-12) + -1 + (-38676)/(-36). Suppose 2*c**3 + 630*c - g - 38 - 239 - 66*c**2 = 0. What is c?
3, 15
Let c be 2/(-5) - (-11)/((-550)/2410). Let m = c - -49. Factor 0 + 4/5*b**2 - m*b - 2/5*b**3.
-2*b*(b - 1)**2/5
Let q(k) be the third derivative of -k**7/195 - 4*k**6/195 + 19*k**5/78 - 401*k**2 - 2*k - 2. Let q(a) = 0. What is a?
-5, 0, 19/7
Let i(w) = 175*w**5 - 330*w**4 - 2405*w**3 - 1746*w**2 + 703*w + 3. Let k(d) = -2*d**2 + d + 1. Let b(a) = i(a) - 3*k(a). What is r in b(r) = 0?
-2, -7/5, 0, 2/7, 5
Let b be 54/(-135) - 54/(-10). Let t = 6 - 0. Solve -31*y**2 - b*y + 14*y**2 + 16*y**2 + t*y**2 = 0.
0, 1
What is x in 0 - 41/2*x - 6*x**4 + 226*x**2 + 481/2*x**3 = 0?
-1, 0, 1/12, 41
Factor 5218425*q**2 - 5218429*q**2 + 1723*q + 1765*q.
-4*q*(q - 872)
Let k(q) be the second derivative of q**7/14 + q**6/10 - 51*q**5/20 + 15*q**4/4 - 1225*q - 3. Determine a, given that k(a) = 0.
-5, 0, 1, 3
Let f = 262 - 255. Solve 3*r**2 - f*r - 7*r - 25*r + 36 = 0.
1, 12
Let b(a) be the second derivative of a**8/336 + 2*a**7/105 + a**6/20 + a**5/15 + a**4/24 - 4*a**2 - 66*a. Let q(k) be the first derivative of b(k). Factor q(o).
o*(o + 1)**4
Suppose 3800*b**2 - 190*b**4 - 980*b + 527*b**5 - 1605*b**3 - 532*b**5 - 1020*b = 0. What is b?
-20, 0, 1
Let c(a) = -14*a**4 + 53*a**2 - 154*a + 90. Let u(q) = 22*q**4 - 78*q**2 + 232*q - 136. Let n(d) = 8*c(d) + 5*u(d). Factor n(t).
-2*(t - 2)**2*(t - 1)*(t + 5)
Let p(h) be the second derivative of h**6/165 + 23*h**5/110 - 380*h**4/33 + 4300*h**3/33 - 9250*h. Factor p(y).
2*y*(y - 10)**2*(y + 43)/11
Solve 1/4*x**4 + 722 - 931/2*x + 8*x**3 + 141/4*x**2 = 0 for x.
-19, 2, 4
Let t be (-4 - 18 - -10) + 8/1 - 54/(-6). Let -1/8*s**t + 5/8*s**2 + 3/8*s**3 - 1/8*s**4 + 1/4*s + 0 = 0. What is s?
-1, 0, 2
Let d(l) = 13*l**3 + l**2 - 23*l - 25. Let p(g) = 3*g**3 + 332 - 667 + 327 - 8*g + g**3. Let m(n) = 2*d(n) - 7*p(n). Find c, given that m(c) = 0.
-1, 3
Let y(c) be the first derivative of c**6/120 + c**5/4 + 9*c**4/8 + 34*c**3/3 + 51. Let m(i) be the third derivative of y(i). Factor m(t).
3*(t + 1)*(t + 9)
Let b(s) be the third derivative of 0*s + 1/150*s**5 + 43*s**2 - 1/30*s**4 + 0 + 1/600*s**6 - 4/15*s**3. Factor b(c).
(c - 2)*(c + 2)**2/5
Let y = -1 - -3. Let o be y + (4 - 2)/(1 - -1). Factor 3*s**4 - 2384*s + 3*s**5 + 2384*s - 6*s**o.
3*s**3*(s - 1)*(s + 2)
Let m(d) be the third derivative of -d**5/75 - 637*d**4/15 - 811538*d**3/15 - 1073*d**2. Factor m(y).
-4*(y + 637)**2/5
Let o(r) = 2*r**4 - 18*r**3 + 272*r**2 - 252*r - 588. Let j(h) = 2*h**4 - 10*h**3 + 273*h**2 - 251*h - 591. Let v(g) = 4*j(g) - 5*o(g). Factor v(q).
-2*(q - 18)*(q - 4)**2*(q + 1)
Let c(b) be the second derivative of -b**6/120 + 39*b**5/40 - 25*b**4/16 - 77*b**3/12 - 3020*b. Suppose c(t) = 0. Calculate t.
-1, 0, 2, 77
Let q = -120089 - -120091. Factor 4/5*p**q + 1/5 + 4/5*p.
(2*p + 1)**2/5
Let w(q) be the third derivative of -1/3*q**3 + 1/300*q**5 - 97*q**2 + 0 + 0*q + 3/40*q**4. Factor w(b).
(b - 1)*(b + 10)/5
Let c(q) = 20*q**2 + 2*q + 42. Let y(w) = -w**2 - w - 1. Let v(g) = 2*c(g) + 20*y(g). Let t(x) = 7*x**2 - 5*x + 22. Let l(n) = -17*t(n) + 6*v(n). Factor l(m).
(m - 10)*(m - 1)
Let m(g) be the first derivative of -11/3*g**3 + 5*g**2 + 0*g + 140 + 1/4*g**4. Factor m(q).
q*(q - 10)*(q - 1)
Let i(k) = k**4 + 414*k**3 + 2493*k**2 + 5018*k + 3360. Let j(u) = 10*u**4 + 3728*u**3 + 22436*u**2 + 45160*u + 30240. Let l(r) = 28*i(r) - 3*j(r). Factor l(v).
-2*(v - 210)*(v + 2)**3
Let l(b) be the second derivative of b**4/48 + 1277*b**3/24 + 82*b + 13. Factor l(q).
q*(q + 1277)/4
Let b(w) be the first derivative of -34 + 18*w - 6*w**2 + 2/3*w**3. Factor b(a).
2*(a - 3)**2
Let b = -4/127697 + 766202/638485. Factor -23/5*d + 7/5*d**2 + b.
(d - 3)*(7*d - 2)/5
Let s(g) be the second derivative of -3*g**7/14 - 44*g**6/15 - 49*g**5/5 - 25*g**4/2 - 19*g**3/6 + 7*g**2 + 309*g + 2. Factor s(p).
-(p + 1)**3*(p + 7)*(9*p - 2)
Let i = -81473/9 - -4317947/477. Let k = 10/53 - i. Determine u so that -16/9*u**4 - 16/9 - 4/9*u**5 + 8/9*u**3 + 32/9*u**2 - k*u = 0.
-4, -1, 1
Let c(g) = g**3 - 8*g**2 - 11*g - 20. Let u be c(8). Let w be (-36)/u*3*2/4. Factor 11/4*k**3 + 0*k + w*k**2 + 0.
k**2*(11*k + 2)/4
Let m be 2*5*-2 + 166473/1431. Factor 34/3*f + 1/3*f**2 + m.
(f + 17)**2/3
Let s(z) be the first derivative of -111 + 2/7*z**2 + 20/7*z - 20/21*z**3 - 1/7*z**4. Factor s(j).
-4*(j - 1)*(j + 1)*(j + 5)/7
Let c be (1 - 2245/20)/((-13)/(-52)). Let k = 445 + c. Solve 0*y + k*y**3 - 1/2*y**4 + 5/2*y**2 - 2 = 0.
-2, -1, 1, 2
Let j = 145 + -47. Let h be j/343 - 8/(-21). Solve 2/3*d**2 - h*d**4 + 0 - 2*d**5 + 10/3*d**3 - 4/3*d = 0 for d.
-1, 0, 2/3, 1
Let s be ((-5)/15 - 19*(-2)/90)*(-996)/(-664). Factor 2/3*t**2 + 14/15 - s*t**3 + 26/15*t.
-2*(t - 7)*(t + 1)**2/15
Let s(n) be the first derivative of -n**3/6 + 30*n**2 + 369*n/2 - 2091. Factor s(y).
-(y - 123)*(y + 3)/2
Let k be (1 - (-3 + 0))*994/284. Let p(j) be the second derivative of k*j + 7/3*j**4 + 0 + 2/5*j**5 - 31/12*j**3 + j**2. Factor p(o).
(o + 4)*(4*o - 1)**2/2
Factor 14205 + 4*b**4 - 14205 - 1672*b + 1672*b**3 - 4*b**2.
4*b*(b - 1)*(b + 1)*(b + 418)
Let i be ((-5796690)/67208)/(1*(-5 + 0)). Determine j, given that 12*j**3 - 225 - i*j**2 - 255*j - 3/4*j**4 = 0.
-3, -1, 10
Factor -430/3*u + 72 + 2/3*u**3 + 212/3*u**2.
2*(u - 1)**2*(u + 108)/3
Let m be 9/(-4 - (-33)/6). Suppose a = m - 4. Determine f so that 20*f**3 - 1 + 0*f**4 - 36*f - 4*f**4 - 12*f**a + 1 = 0.
-1, 0, 3
Suppose 125 - 253 = -8*o. Factor -15*j**3 + o*j - 32*j**2 + 7*j**3 + 8*j**4 + 4*j**3.
4*j*(j - 2)*(j + 2)*(2*j - 1)
Let a be (-10)/4*72/(-90). Factor -2*d**5 + a + 22 - 4*d**2 - 8*d**4 - 10*d**3 - 24.
-2*d**2*(d + 1)**2*(d + 2)
Let j(d) be the third derivative of 0*d + 0 + 7*d**2 + 0*d**5 + 0*d**4 + 1/80*d**6 + 0*d**3. Determine s so that j(s) = 0.
0
Let a(z) be the third derivative of z**5/210 + 283*z**4/21 + 320356*z**3/21 + 312*z**2 + z. Factor a(f).
2*(f + 566)**2/7
Let v(x) be the second derivative of -8*x**7/21 - 692*x