 + 1/15*m**6 + j*m + 4/3*m**3 - 24*m**2 - 1/3*m**4 - 1/10*m**5 - 1/105*m**7. Factor w(v).
-2*(v - 2)**2*(v - 1)*(v + 1)
Let r(l) be the second derivative of -1/6*l**5 - 37/72*l**4 - 32*l - 5/6*l**3 - 1/45*l**6 + 0 - 3/4*l**2. Factor r(o).
-(o + 1)**2*(2*o + 3)**2/6
Let p(a) be the second derivative of a**6/135 + a**5/3 - 133*a**4/54 + 34*a**3/9 + 237*a - 20. Determine y so that p(y) = 0.
-34, 0, 1, 3
Solve 18*c**3 - 321/2*c - 3/4*c**4 - 207/4*c**2 - 90 = 0.
-1, 6, 20
Let p(q) = 2*q**2 + 81*q + 722. Let b(i) be the first derivative of -i**2/2 - 36. Let c(v) = -10*b(v) - 2*p(v). Solve c(n) = 0 for n.
-19
Let g be (168/(-10))/(38192/(-6820)). Solve -9/4*w + 1/4*w**4 - 11/4*w**2 + 5/2 + 9/4*w**g = 0.
-10, -1, 1
Let q(r) be the first derivative of 16 - 185/6*r**2 + 15*r + 20/9*r**3. What is o in q(o) = 0?
1/4, 9
Factor 0 + 9/8*d**3 + 3/4*d**2 - 5/8*d**4 - d.
-d*(d - 2)*(d + 1)*(5*d - 4)/8
Let w = 221344 - 221341. Factor 147/8*k**w + 63/4*k**2 - 36*k + 12.
3*(k + 2)*(7*k - 4)**2/8
Factor 0*i + 0 - 4*i**3 + 0*i**2 - 4/5*i**4.
-4*i**3*(i + 5)/5
Let u(g) be the second derivative of g**5/30 + 2*g**4/9 - 35*g**3/9 - 50*g**2 - 1548*g. Factor u(b).
2*(b - 6)*(b + 5)**2/3
Let m(o) be the first derivative of 0*o**3 - 1/6*o**4 + 199 + 0*o + 1/3*o**2. Factor m(u).
-2*u*(u - 1)*(u + 1)/3
Suppose 105*a + 5184 = 111*a. Factor -142*i + 135*i**4 - 78*i - 405*i**3 + 450*i**2 - 824 + a.
5*(i - 1)*(3*i - 2)**3
Let l(s) be the second derivative of -11*s**2 + 0 + 27*s + 2/3*s**3 + 1/90*s**5 + 7/36*s**4. Let y(b) be the first derivative of l(b). Factor y(j).
2*(j + 1)*(j + 6)/3
Factor 18150*f + 665500 + 165*f**2 + 1/2*f**3.
(f + 110)**3/2
Suppose -16*x + 11*x = -10. Let k = 31 + -23. Determine t, given that 8*t**4 + 0*t**5 - k*t**3 + 8 + 25*t + 4*t**5 - 21*t - 16*t**x = 0.
-2, -1, 1
Let f(u) be the third derivative of -u**6/90 - 7*u**5/150 + u**4/5 + 25*u**3/2 - 9*u**2 - 3*u. Let i(z) be the first derivative of f(z). Factor i(r).
-4*(r + 2)*(5*r - 3)/5
Suppose 0 = -q - a + 4, q - 2*q + 4*a - 16 = 0. Let s(k) be the second derivative of 1/3*k**4 - 2/15*k**6 + 0 + 0*k**5 + 0*k**3 + q*k**2 - 11*k. Factor s(l).
-4*l**2*(l - 1)*(l + 1)
Let w(j) be the third derivative of j**5/210 + 43*j**4/21 + 169*j**3/7 + 3829*j**2. Suppose w(u) = 0. Calculate u.
-169, -3
Let c(h) = 4*h**2 - 6*h - 10. Let k be c(-2). Factor 4*p**2 - 6*p**2 - k + 11*p - 8*p + 9*p.
-2*(p - 3)**2
Let w(g) = g. Let i(c) = 3*c**2 + 12*c + 2. Let m(q) = -i(q) + 4*w(q). Let b be m(-2). Factor 2/5*k**b - 4/5*k + 2/5.
2*(k - 1)**2/5
Let f = 29 - 9. Suppose -2*b = -6*b + 8. Solve 13*x**3 - 21*x**3 - f*x**b + 12*x**3 = 0.
0, 5
Factor 31*d**2 + 5 + 68*d - 53*d**2 + 85.
-2*(d + 1)*(11*d - 45)
Let v(l) = 3*l**4 - 39*l**3 - 73*l**2 - 31*l + 234. Let a(k) = 2*k**4 - 19*k**3 - 36*k**2 - 15*k + 108. Let m(g) = -13*a(g) + 6*v(g). Factor m(d).
-d*(d - 3)*(d + 1)*(8*d + 3)
Let j(d) be the first derivative of -5*d**6/3 - 13*d**5 + 10*d**4 + 395*d**3/3 - 90*d**2 - 180*d - 798. Determine a so that j(a) = 0.
-6, -3, -1/2, 1, 2
Let y(i) be the first derivative of 0*i + 36*i**2 - 88*i**3 + 49/3*i**6 + 37/2*i**4 + 39 + 308/5*i**5. Let y(u) = 0. Calculate u.
-2, 0, 3/7
Let z be 307/(4605/(-18))*50/(-21). Factor -36*y + 132/7*y**2 - z*y**3 + 108/7.
-4*(y - 3)**2*(5*y - 3)/7
Let l(g) = -2*g**3 + 7*g**2 - 17*g + 21. Let h be l(3). Let f be -5 - h/(441/140). Let 5/3*m**2 + f + 10/3*m = 0. Calculate m.
-1
Let p be (21/1197)/((-28)/(-1662)). Let b = 45/38 - p. Factor 9/7*n**3 - b*n**4 + 0*n + 0*n**2 + 0.
-n**3*(n - 9)/7
Let r = -5509 + 5515. Let f(v) be the third derivative of 0 + v**3 + 0*v - 1/40*v**r + 0*v**5 + 3/8*v**4 + 12*v**2. Solve f(k) = 0 for k.
-1, 2
Factor 49536/7*h**2 + 798768/7*h + 4293378/7 + 1024/7*h**3.
2*(8*h + 129)**3/7
Let k(h) be the third derivative of 54*h**2 + 0*h**4 + 0 + 0*h**3 - 1/210*h**7 + 0*h**5 + 0*h + 1/6*h**6. What is t in k(t) = 0?
0, 20
Suppose -3*m - 6*m + 18 = 0. Suppose 3*x - 2 = 2*x. Factor 2*l**4 + 4*l**2 - x*l**3 + 0*l**4 + 4*l**m - 6*l**3.
2*l**2*(l - 2)**2
Let p(c) be the third derivative of c**6/120 + c**5/10 + c**4/6 + 13*c**3/3 + 27*c**2. Let k be p(-6). Factor -h**2 - h**2 - k*h + 3*h + 6 - 5*h.
-2*(h - 1)*(h + 3)
Determine y, given that -7/2 + 11/3*y - 1/6*y**2 = 0.
1, 21
Let f(k) = -5*k**3 - 83*k**2 - 5*k + 85. Let n(s) = -67*s**3 - 1077*s**2 - 68*s + 1104. Let y(c) = -27*f(c) + 2*n(c). Let y(o) = 0. What is o?
-87, -1, 1
Suppose -i - 25*x = -20*x + 926, -x + 1819 = -2*i. Let q = i + 913. Factor 7/6*k - 1/6*k**q - 1.
-(k - 6)*(k - 1)/6
Let u be (17766/336 - 53) + -33*2/(-16). Let g(c) be the third derivative of 0 + 0*c**3 - 15*c**2 + 0*c + 1/210*c**5 + 1/84*c**u. Factor g(j).
2*j*(j + 1)/7
Let u be -2 - ((-1)/2 + (-6)/12). Let g be (0 + 18 + -9)*u/(-6). Factor 3/4*t**3 + 3/4*t**2 - g*t + 0.
3*t*(t - 1)*(t + 2)/4
Let q(n) be the first derivative of -n**8/420 - 2*n**7/75 - 11*n**6/150 - n**5/15 - 13*n**2/2 + 3. Let b(x) be the second derivative of q(x). Factor b(l).
-4*l**2*(l + 1)**2*(l + 5)/5
Let h(t) = 2*t**2. Let v be h(1). Suppose 5*u + 25 = 0, 0*o - 4*o + 18 = -2*u. Suppose -10 - 14*l**2 - 18*l**o + 37*l**v - 5*l = 0. Calculate l.
-1, 2
Let g(j) = -7*j + 2. Let a be g(0). Suppose 3*d + a*l = -0*d + 10, -2*l - 10 = -2*d. Factor -4*w - 9*w**3 + 12*w**2 + 5*w**4 + 4*w - 8*w**d.
-3*w**2*(w - 1)*(w + 4)
Suppose 0 = 5*t + 2*b - 2 - 22, -2*b = 4*t - 18. What is g in 9/2*g**3 + t*g + 0 - 12*g**2 = 0?
0, 2/3, 2
Let o(y) = y**2 - 4495*y - 58604. Let k be o(-13). Factor 57/7*n**3 - 51/7*n**4 + k*n - 6/7*n**2 + 0.
-3*n**2*(n - 1)*(17*n - 2)/7
Let v(x) be the second derivative of x**4/72 + 419*x**3/6 + 526683*x**2/4 + 9893*x. Suppose v(l) = 0. What is l?
-1257
Let a(y) be the second derivative of y**4/48 + y**3/24 - 3*y**2/2 - 2*y + 290. Factor a(k).
(k - 3)*(k + 4)/4
Let p(a) be the third derivative of -a**6/24 + 11*a**5/3 + 235*a**4/8 + 8691*a**2. Solve p(w) = 0.
-3, 0, 47
Let r(o) be the second derivative of -o**5/210 + o**4/14 + 16*o**3/21 - 47*o**2 + 2*o - 3. Let y(j) be the first derivative of r(j). Let y(s) = 0. What is s?
-2, 8
Let u(j) be the first derivative of -j**6/51 - 32*j**5/85 - 93*j**4/34 - 484*j**3/51 - 284*j**2/17 - 240*j/17 + 10380. Find t, given that u(t) = 0.
-6, -5, -2, -1
Let o(g) be the first derivative of -8*g**6 - 164*g**5/5 - 51*g**4 - 36*g**3 - 10*g**2 + 13051. What is f in o(f) = 0?
-1, -5/12, 0
Let c(y) be the second derivative of -3*y**5/40 + 2*y**4 - 69*y**3/4 + 135*y**2/2 - 4698*y. Factor c(j).
-3*(j - 10)*(j - 3)**2/2
Suppose -13*g + 7*g + 102 = 0. Suppose 8 = -b + 10. Find k such that 9*k - k - 8*k**b - g*k - 1 = 0.
-1, -1/8
Let z(p) be the first derivative of -p**6/10 + 84*p**5/25 + 93*p**4/20 - 58*p**3/5 + 322. Determine d, given that z(d) = 0.
-2, 0, 1, 29
Suppose 101*y - 89*y - 1860 = 0. Find r, given that -179*r**2 - 3 + 4*r**3 + y*r**2 + 3 = 0.
0, 6
Let t be ((0 - 0) + -1)/((-13)/52). Determine z so that 1417*z + 1088*z**2 - 6*z**5 + 355*z**t - 4623*z**3 - z**5 + 1937*z**2 - 167*z = 0.
-2/7, 0, 1, 25
Let -896/5 - 2/5*q**2 - 452/5*q = 0. Calculate q.
-224, -2
Let f(z) = -3*z**2 + 91*z + 219. Suppose -2*k = 2*u + 2, 3*k = -u + 7 - 14. Let s(l) = 2*l**2 - 46*l - 110. Let h(g) = u*f(g) + 5*s(g). Solve h(j) = 0.
-2, 14
What is y in -4*y**2 - 2*y**3 + 4/5*y**4 + 8/5*y + 2/5*y**5 + 16/5 = 0?
-2, -1, 1, 2
Factor 581 + 591 - 4*s**2 + 0*s**2 + 452*s - 1172.
-4*s*(s - 113)
Suppose 43*y + 2*s = 42*y - 32, -8*y + 4*s + 144 = 0. Suppose y*t**2 + 0 + 4/5*t**3 + 36/5*t = 0. Calculate t.
-9, -1, 0
Suppose 4*w = -8*g + 3*g - 1, 0 = g - 4*w - 19. Solve 5*z - 369*z**4 - 5*z**3 + 0*z**g + 185*z**4 + 185*z**4 - z**2 = 0.
-1, 0, 1, 5
Let q be (-2091)/(-3213) + 9/567. Solve -32/3*g**3 - 120*g + 72 + 58*g**2 + q*g**4 = 0.
1, 3, 6
Let r = -4185 + 21937/5. Let l = 203 - r. Let -l*u**4 + 0*u + 3/5*u**3 + 0 + 3/5*u**2 - 3/5*u**5 = 0. What is u?
-1, 0, 1
Let q(y) = y**4 - y**3 + 20*y**2 + y - 1. Let a(j) = 5*j**4 + 40*j**3 + 164*j**2 + 4*j - 4. Let u(w) = a(w) - 4*q(w). Factor u(h).
h**2*(h + 2)*(h + 42)
Suppose 13 = m + 9. Factor -11*q**2 + 48 - 4*q**2 + 5*q**m - 8 + 20*q**3 - 51*q + q.
5*(q - 1)**2*(q + 2)*(q + 4)
Suppose 4*i + 73 = -5*y, 0 = 5*i + y - 4*y + 45. Let s be (-1)/2*i/8*32. What is c in 8*c**2 - s*c - c**2 - 36 - 11*c**2 = 0?
-3
Factor -4004001/2 - 1/2*j**3 - 4003/2*j**2 