2/i*(-36)/(-4). Solve -g**4 - 10*g**f - 4*g**4 - 52*g**5 + 57*g**5 = 0 for g.
-1, 0, 2
Let v(w) be the first derivative of -5*w**3/12 + 15*w**2/2 + 665*w/4 + 1859. Factor v(c).
-5*(c - 19)*(c + 7)/4
Suppose -3*t + 0*t - 510 = 5*v, -400 = 4*v + 4*t. Let r be ((-45)/v)/((-2)/(-14)). Let 0*w**3 - 12*w - w**3 + 5*w**r - w**3 = 0. What is w?
-2, 0, 2
Let g(u) be the third derivative of u**7/70 - u**5 + 32*u**3 + 2886*u**2. Solve g(j) = 0.
-4, -2, 2, 4
Let g(m) be the second derivative of -m**9/113400 + m**8/6300 + m**7/2100 + 109*m**4/12 - 88*m - 2. Let x(y) be the third derivative of g(y). Factor x(p).
-2*p**2*(p - 9)*(p + 1)/15
Let h be 2 + (-116)/(-14) + 12/(-42). Let m be 2/h - 63/(-35). Find q, given that m*q**3 + 3*q**3 + 27*q + 8*q**3 + 30*q**2 - 10*q**3 = 0.
-9, -1, 0
Let x(o) = -3*o**4 + 32*o**3 - 97*o**2 + 7*o - 77. Let m(t) = -t**4 + 11*t**3 - 32*t**2 + 2*t - 22. Let b(c) = 7*m(c) - 2*x(c). Determine y so that b(y) = 0.
0, 3, 10
Let p(j) be the second derivative of 23 - 1/24*j**5 - 1805/12*j**2 - j - 65/24*j**4 - 665/12*j**3. Factor p(f).
-5*(f + 1)*(f + 19)**2/6
Let n(p) be the third derivative of -p**8/3360 + p**7/840 + p**6/90 - 23*p**3/6 + 3*p**2 + 23*p. Let o(b) be the first derivative of n(b). Factor o(f).
-f**2*(f - 4)*(f + 2)/2
Let h be -3*(100/(-12) + 7). Solve -26 + 2*g**h - 2*g - 72*g**2 - 20*g**3 - 13*g - 61*g = 0 for g.
-1, 13
Suppose 9*k = 15*k - 864. Factor k*g**2 - 3*g**4 - 5*g**4 + 18*g**4 + 48*g**3 - 6*g**4.
4*g**2*(g + 6)**2
Let w be (70/(-17080))/((-255)/(-24)). Let d = 18668/5185 + w. Factor d + 3*p - 3/5*p**2.
-3*(p - 6)*(p + 1)/5
Let z(a) be the first derivative of -5/4*a**3 - 3/8*a**2 - 27 + 15/4*a + 3/16*a**4. Find c such that z(c) = 0.
-1, 1, 5
Suppose -7*w - 20 = -12*w. Solve 29*y**4 + 5*y**2 - 10*y**4 + 55*y**3 - 12*y**4 - 12*y**w - 55*y = 0 for y.
-1, 0, 1, 11
Factor 72 + 1022*y - 854*y - 1827 + 3*y**2.
3*(y - 9)*(y + 65)
Suppose -4*i - 4*p - 4 = 0, 4*i - p - 17 = 2*p. Suppose -19*l**2 + 5*l - 14*l**i - 16*l**2 - 21*l**2 + 65*l**2 = 0. Calculate l.
0, 1
Let h be -2 - ((-24)/4 - -2). Factor 263*p**2 - 135*p**h - 124*p**2.
4*p**2
Let v = 3/307 + 587/2763. Let p(u) be the first derivative of 7/3*u**2 + 22 - 4*u - v*u**3. Solve p(s) = 0.
1, 6
Let 122/7*k**2 + 0 - 4*k - 80/7*k**3 - 2*k**4 = 0. What is k?
-7, 0, 2/7, 1
Let l be (75/(-21) - -5) + (-3)/7. Suppose 4 - l = -3*g + 2*n, 0 = -3*g - 2*n + 9. Factor -3/2*r**2 + 1/2*r**3 - 1/2*r + 1/2*r**4 + g.
(r - 1)**2*(r + 1)*(r + 2)/2
Let c(g) = -g**4 - 19*g**3 + 36*g. Let t(s) = 5*s**4 + 101*s**3 - 180*s. Let l(j) = -33*c(j) - 6*t(j). Factor l(p).
3*p*(p - 2)*(p + 3)*(p + 6)
Let f(k) be the first derivative of 8/7*k**3 + 0*k + 0*k**2 + 57/14*k**4 + 1/2*k**6 - 85 + 111/35*k**5. Let f(r) = 0. Calculate r.
-4, -1, -2/7, 0
Let s = 1926 + -1924. Let i(h) be the third derivative of 0*h - h**4 + 8*h**3 - 17*h**s - 1/40*h**6 - 7/20*h**5 + 0. Factor i(v).
-3*(v - 1)*(v + 4)**2
Let q(i) = -3*i - 16*i**3 + 0*i**3 + 0*i**5 + i**5 + 2*i**4 + 5*i**3. Let w(h) = -2*h**5 + 10*h**3 + 2*h. Let v(t) = 2*q(t) + 3*w(t). Factor v(c).
-4*c**3*(c - 2)*(c + 1)
Factor -192*v**2 + 4*v**3 + 923 - v**3 + 726*v - 2387 + 927*v**2.
3*(v - 1)*(v + 2)*(v + 244)
Let u(v) be the second derivative of -71*v**4/4 - 143*v**3/2 - 3*v**2 + 4*v + 338. Factor u(b).
-3*(b + 2)*(71*b + 1)
Factor -17424/7*x + 0 - 4/7*x**3 + 528/7*x**2.
-4*x*(x - 66)**2/7
Let a(p) be the first derivative of -p**6/120 + p**5/40 - 42*p**3 - 135. Let o(c) be the third derivative of a(c). Factor o(m).
-3*m*(m - 1)
Suppose -98 = -u - 96. Let 207*y**2 + 360 - 204*y**u + 96*y + 367 + 41 = 0. What is y?
-16
Suppose 23 = i - 5*b, -4*i = i + 3*b - 3. Determine d, given that 18*d**i - 43*d - 2*d + 167*d**4 + 18 + 12*d**2 + 6*d - 173*d**4 - 3*d**5 = 0.
-3, -2, 1
Let r(y) be the first derivative of -y**5 + 15*y**3 + 10*y**2 - 60*y + 1668. Factor r(l).
-5*(l - 3)*(l - 1)*(l + 2)**2
Suppose 23*c - 174 = -63*c - 7*c + 6*c. Factor -2/13*t**3 - 126/13*t - 30/13*t**c - 98/13.
-2*(t + 1)*(t + 7)**2/13
Let l be 10/(-4) - 47/(1645/(-175)). Factor l*x**2 + 2645/2 - 115*x.
5*(x - 23)**2/2
Let m(w) = -19*w + 32. Let q be m(2). Let z(b) = 10*b**2 + 59*b + 42. Let o(y) = 18*y**2 + 120*y + 83. Let l(v) = q*o(v) + 11*z(v). Factor l(h).
(h - 36)*(2*h + 1)
Let s(c) be the second derivative of c**7/315 - 2*c**6/25 + 113*c**5/150 - 154*c**4/45 + 124*c**3/15 - 32*c**2/3 + 4488*c. Let s(f) = 0. What is f?
1, 2, 5, 8
Suppose 841 = -5*v - s + 172, 3*v = -5*s - 397. Let g be (v/(-42) + -3)/((-24)/(-28)). Factor -8/9*i**2 + g*i**3 + 10/9*i - 4/9.
2*(i - 2)*(i - 1)**2/9
Let f(b) = -b**2 + 7. Let l(c) = 16*c**2 + 37*c + 22. Let m(v) = -4*f(v) + l(v). Let m(q) = 0. What is q?
-2, 3/20
Suppose -30 = -7*u + v, 5*v = 227*u - 230*u + 2. Let f(r) be the second derivative of -1/6*r**3 + 5*r - 3/4*r**u + 1/3*r**2 + 0. Factor f(z).
-(3*z + 1)*(9*z - 2)/3
Suppose 7*q - 14 - 14 = 0. Let x be 2 + (-2 - -3 - 1). Factor 2*i**3 + 24*i**2 - 8*i**q + 2*i**4 - 18*i**2 - 4*i + x*i**5.
2*i*(i - 2)*(i - 1)**2*(i + 1)
Suppose 418*h - 4*s - 12 = 414*h, -3*h + 2*s = -18. Determine t, given that 0*t - 117/5*t**4 - 156/5*t**3 - h*t**2 - 27/5*t**5 + 0 = 0.
-2, -5/3, -2/3, 0
Solve 36*o**2 + 27*o**2 - 397*o + 1609218 - 61*o**2 - 1313*o - 1878*o = 0 for o.
897
Suppose 14 = -9*i + 12*i - x, -2*x + 8 = 0. Let u be (6/(-1))/(-2) + 16/8. Factor 138/7*w**3 - 54/7*w**2 - 130/7*w**4 + 4/7*w + 0 + i*w**u.
2*w*(w - 1)**3*(21*w - 2)/7
Factor 2931 - 5*m**2 + 28*m + 2339 + 132*m - 6884 + 2539.
-5*(m - 37)*(m + 5)
Suppose 3*g = w + g + 6, 4*w - 4*g + 8 = 0. Solve -30*x + 0*x**2 + 3*x**2 + 2*x**w + 0*x**2 = 0 for x.
0, 6
Let z(k) be the second derivative of -2*k + 17/24*k**4 + 4 + 0*k**2 + 1/15*k**6 - 1/2*k**3 + 27/40*k**5. Factor z(i).
i*(i + 1)*(i + 6)*(4*i - 1)/2
Let i(n) be the first derivative of -n**6/360 + n**5/20 + 7*n**4/24 - 13*n**3/3 + 2*n**2 - 93. Let k(h) be the third derivative of i(h). Factor k(s).
-(s - 7)*(s + 1)
Let z = 476 + -515. Let j be (-1)/(z/6 + 6). Factor 55/3*i + 35/3*i**j + 20/3.
5*(i + 1)*(7*i + 4)/3
Solve -5/2*o**3 - 27*o**2 + 5 - 39/2*o = 0.
-10, -1, 1/5
Suppose -3*w - 22 = 128*m - 132*m, 0 = -w + 2*m - 12. Find p, given that -12*p**w - 64/3*p + 16/3 = 0.
-2, 2/9
Let a(f) be the first derivative of -f**4/5 + 659*f**3/5 + 743*f**2/5 - 99*f - 6282. Suppose a(n) = 0. What is n?
-1, 1/4, 495
Let -132/5 + 40*l**2 + 62/5*l - 12*l**3 - 68/5*l**4 - 2/5*l**5 = 0. What is l?
-33, -2, -1, 1
Let j(b) = -b**3 + 11*b**2 - 7*b - 24. Let u be j(10). Let q(t) = 5*t - 28. Let x be q(u). Factor 8*c**4 + 3*c**3 - 7*c**5 - 17*c**4 - 6*c + 10*c**5 + 9*c**x.
3*c*(c - 2)*(c - 1)**2*(c + 1)
Let u(q) = 2*q**5 + 18*q**4 - 5*q**3 - 17*q**2 + 3*q + 8. Let r(v) = 4*v**4 - v**3 - v**2 + v. Let s(h) = 3*r(h) - u(h). Solve s(p) = 0 for p.
-2, -1, 1
Let g(h) = 2 - 14*h + 2*h**4 - 34*h**2 - 14*h**3 - 3*h**4 + 59*h**2. Let n(s) = s**4 + s - 1. Let b(y) = 3*g(y) + 6*n(y). Solve b(k) = 0.
0, 1, 12
Let g(u) = u**2 + 18*u + 136. Let h be g(-8). Factor -23*p - p**3 + h*p + 11*p**2 - 21*p.
-p*(p - 12)*(p + 1)
Let w(q) = 110*q**3 + 5*q - 2. Let f be w(2). Factor 240 + f*i**2 - 736*i - 555*i**2 - 36*i**3 + 255*i**2.
-4*(i - 15)*(3*i - 2)**2
Let z(h) be the first derivative of -h**6/14 + 69*h**5/35 - 75*h**4/4 + 63*h**3 - 5628. Solve z(j) = 0 for j.
0, 7, 9
Let p(y) be the first derivative of y**4/2 + 8*y**3 - 512*y + 2345. Factor p(o).
2*(o - 4)*(o + 8)**2
Let y(v) be the second derivative of v**6/6 - 35*v**5/2 + 715*v**4 - 41140*v**3/3 + 106480*v**2 - 1215*v. Factor y(l).
5*(l - 22)**3*(l - 4)
Factor 1191/7 + 1185/7*j**2 + 2379/7*j - 3/7*j**3.
-3*(j - 397)*(j + 1)**2/7
Solve -510 - 108/7*z + 6/7*z**2 = 0 for z.
-17, 35
Let x = 409/609 - 1/203. Let s = 2/615 - -136/205. Find l such that x*l**2 + 0 - 2/3*l**4 + s*l - 2/3*l**3 = 0.
-1, 0, 1
Factor -234853 + 117125 + 5*c**2 + 117248 + 475*c.
5*(c - 1)*(c + 96)
Let p = -680 + 266. Let x = 414 + p. Suppose -21/2*f**4 + 15/2*f**3 + 3*f**2 + 0*f + x = 0. What is f?
-2/7, 0, 1
Suppose -6*j - 1034 - 610 = 0. Let z be (j/(-8))/((-3)/(-12)). Factor -137*o**2 - 45*o - 4*o**5 - 19*o + 32*o**3 + z*o**2.
-4*o*(o - 2)**2*(o + 2)**2
Let o(p) = p**2 + 6*p - 24. Let q be o(-34). Factor 0*z**2 - 2*z**3 + 935*z**4 - z**2 - 4*z**5 - q*z**4.
-z**2*(z - 1)**2*(4*z + 1)
Let h = 7 + -5. Suppose 5*d 