, 0, 1
Let u(x) = -12*x + 32. Let g be u(-6). Let i = g - 103. Factor -18*t + i - 1 - 2*t**2 + 20*t.
-2*t*(t - 1)
Let q be 148/(-37)*6/(-8). Let z(r) be the first derivative of 1/10*r**5 + 0*r - 1/2*r**2 + 2 - 2/3*r**q - 3/16*r**4 + 1/24*r**6. Factor z(v).
v*(v - 2)*(v + 1)**2*(v + 2)/4
Let k(n) = 62*n - 42. Let m be k(1). Let b(x) be the first derivative of -1/12*x**4 + m + 1/6*x**2 + 2/9*x**3 - 2/3*x. Factor b(o).
-(o - 2)*(o - 1)*(o + 1)/3
Let t(q) be the second derivative of -q**5/30 - 5*q**4/12 - 2*q**3 + 45*q**2/2 - 136*q + 2. Let z(k) be the first derivative of t(k). Factor z(j).
-2*(j + 2)*(j + 3)
Let k(p) be the first derivative of p**6/36 - 2*p**5/15 - 2*p**4/3 + 11*p**3/9 + 5*p**2/4 - 3*p + 10577. Solve k(h) = 0.
-3, -1, 1, 6
Let u = 58 + -55. Suppose h + u = 15. Solve 123 - 23 + 120*v + v**2 + h*v**2 + 23*v**2 = 0.
-5/3
Suppose 0 = 3*a - 0 - 21. Determine w, given that 37 + 10*w**4 + 9*w + 40*w**4 + a*w + 42*w**2 - 45 - 100*w**3 = 0.
-2/5, 2/5, 1
Suppose -r = 5*r - 19*r. Factor r*d**2 + 8*d**2 - 11*d**2 - 12*d - 9.
-3*(d + 1)*(d + 3)
Let d(p) be the first derivative of 19 - 90*p + 5/3*p**3 + 15/2*p**2. What is g in d(g) = 0?
-6, 3
Let y(x) be the second derivative of 3*x**2 + 13/24*x**4 - 49/24*x**3 + 2 + x - 1/80*x**5. Solve y(c) = 0 for c.
1, 24
Let v = 7581/2 + -90971/24. Let o(d) be the second derivative of -1/80*d**5 + 0*d**2 + v*d**4 - 26*d + 0 + 0*d**3. Find q, given that o(q) = 0.
0, 2
Let c(w) be the first derivative of -2*w**5 - 108 - 72*w - 12*w**2 + 1/3*w**6 - 1/2*w**4 + 58/3*w**3. Determine y, given that c(y) = 0.
-2, -1, 2, 3
Let k(p) be the third derivative of -p**5/10 - 1451*p**4/16 + 363*p**3/4 - 2*p**2 + 121*p - 6. Factor k(l).
-3*(l + 363)*(4*l - 1)/2
Let l(p) be the third derivative of -p**5/270 - 197*p**4/54 + 395*p**3/27 + 1514*p**2. Solve l(o) = 0.
-395, 1
Let b(l) = -5*l**2 + 18*l - 5. Let w be b(3). Let p be -1 + (8/4 - (-6 + w)). Find n, given that 2/3*n**4 + 8/3*n**2 + 0 + 8/3*n**p + 0*n = 0.
-2, 0
Let q = 49161/55 - 9808/11. Let 4/5 + 6/5*y**3 - 4/5*y - q*y**2 + 9/5*y**4 = 0. What is y?
-1, 2/3
Let a = -433 - -433. Let i(q) be the first derivative of 3/5*q**2 + 4/5*q + a*q**3 - 1/10*q**4 - 19. Factor i(x).
-2*(x - 2)*(x + 1)**2/5
Let m(z) = -45*z**2 - 282*z - 3. Let s(q) = -11*q**2 - 71*q + 2. Let r(h) = 8*m(h) - 33*s(h). Determine i so that r(i) = 0.
-30, 1
Factor -3/7*l**5 - 11907 - 7749*l - 2010*l**2 - 117/7*l**4 - 1818/7*l**3.
-3*(l + 7)**3*(l + 9)**2/7
Let p(a) = a**3 - 5*a**2 - 23*a - 8. Let g be p(8). Let x(n) be the second derivative of g + 2*n**2 + 9*n + 0*n**3 - 1/3*n**4. Find b such that x(b) = 0.
-1, 1
Let q(d) be the first derivative of d**5 - 135*d**4/2 + 900*d**3 - 3780*d**2 + 7000. Solve q(k) = 0.
0, 6, 42
Let d = 46211/20 + -4621/2. Let o(s) be the third derivative of -1/40*s**5 - d*s**6 + 0*s + 0*s**4 - 18*s**2 + 0*s**3 + 1/28*s**7 + 0. Factor o(t).
3*t**2*(t - 1)*(5*t + 1)/2
Let i(v) be the second derivative of v**4/6 + 5204*v**3/3 + 6770404*v**2 + 7240*v. Let i(o) = 0. What is o?
-2602
Let b(l) = -l**2 - 4*l - 3. Let p(w) = -24*w**2 + 312*w - 2268. Let d(n) = -20*b(n) + p(n). Factor d(f).
-4*(f - 92)*(f - 6)
Suppose 393*x**4 - 164*x**3 + 8*x - 46*x**2 + 96*x**3 - 407*x**4 = 0. Calculate x.
-4, -1, 0, 1/7
Let q(c) = -565*c**2 + 810*c - 215. Let z(k) = k**3 + k**2 + k - 1. Let h(j) = -q(j) + 15*z(j). Factor h(g).
5*(g - 1)*(g + 40)*(3*g - 1)
Let i(u) = -38 - 87 + 128*u**2 + 171*u - 122*u**2. Let h(r) = 3*r**2 + 84*r - 63. Let j(c) = 13*h(c) - 6*i(c). Factor j(w).
3*(w - 1)*(w + 23)
Suppose 111*y = -40*y + 755. Let l(d) be the third derivative of 0*d + 0*d**3 + 0*d**4 + 1/660*d**6 + 0 - 1/165*d**y + 8*d**2. Solve l(a) = 0 for a.
0, 2
Let i(d) = -13*d + 120. Let f be i(9). Let q(j) be the third derivative of 0*j + 0 + 1/2*j**4 - 15*j**2 - 3/2*j**f - 1/20*j**5. Let q(w) = 0. Calculate w.
1, 3
Let y(q) = -32*q**2 + 768*q - 73728. Let j(h) = -6*h**2. Let u(n) = -5*j(n) + y(n). Factor u(a).
-2*(a - 192)**2
Let -2/17*z**2 - 1216/17 + 312/17*z = 0. Calculate z.
4, 152
Let p(u) = u**2 + 38*u + 225. Let a be p(-7). Let f be 2/(-18) - (7 - a). Find o such that 0 + 2/9*o**5 - 8/9*o**4 - f*o**2 + 4/3*o**3 + 2/9*o = 0.
0, 1
Let v(s) be the second derivative of s**9/136080 - s**8/15120 - s**7/4536 + 4*s**4/3 + 2*s + 51. Let a(j) be the third derivative of v(j). Factor a(c).
c**2*(c - 5)*(c + 1)/9
Let k(g) be the second derivative of 1/5*g**5 - 5/3*g**4 + 15*g - 8/3*g**3 + 40*g**2 + 1. Factor k(y).
4*(y - 5)*(y - 2)*(y + 2)
Find a, given that -540/17*a**2 - 24/17*a**3 - 2/17*a**5 + 0 - 486/17*a + 28/17*a**4 = 0.
-3, -1, 0, 9
Let d = 23 + -20. Let f be (23 + -49 - -32) + 4/12*-17. Let -y - f*y**d + 1/3 + y**2 = 0. Calculate y.
1
Suppose -4*g + 6*d = -22, 0 = 4*g + 23*d - 25*d - 18. Let y**2 + 1/6 + 1/6*y**g + 2/3*y**3 + 2/3*y = 0. What is y?
-1
Let h = 139433 - 836597/6. What is z in -23/3*z**3 + 9/2 - h*z**5 + 15*z**2 - 27/2*z + 11/6*z**4 = 0?
1, 3
Let o be (-5)/(-265)*287 + (-13 - -7). Let m = 146/159 + o. Let -2/9 + 5/9*c - m*c**2 = 0. Calculate c.
2/3, 1
Let i be 32/4*(6 + -5). Suppose -i*g - 14*g - g**2 + 10*g**2 + 9*g**2 + 4 = 0. What is g?
2/9, 1
Let d be ((-80)/900*-15)/(-4 + 5). Find a such that -8/3 + d*a**2 - 4/3*a = 0.
-1, 2
Suppose -4*v + 10 = -9*v + 5*g, -3*v = -4*g + 6. Let j be -4 + (4 - 0) - v. What is z in -z**j - 5*z**2 + 77 + 2*z**2 - 73 = 0?
-1, 1
Let l(n) = 3 - 1 - 5*n**2 - 14*n + 2*n**3 + 5*n**3 - 6*n**3. Let h be l(7). Find b such that 2 + b**2 + 2*b**h - 7*b**2 + 2*b**2 = 0.
-1, 1
Factor -75*g - 1/3*g**2 + 454/3.
-(g - 2)*(g + 227)/3
Let f(h) = h**2 - 16*h + 31. Let j be f(14). Suppose -j*a + 25 = -2*s + 13, 5*a + 5*s + 5 = 0. What is c in 4/5*c**a - 2/5*c**3 + 6/5*c + 0 = 0?
-1, 0, 3
Suppose 270*a - 1538*a - 7077 = -29901. Solve 158*w**2 + a + 6*w**3 - 322/3*w = 0 for w.
-27, 1/3
Let m(a) be the second derivative of -a**7/252 - 7*a**6/20 - 37*a**5/8 - 1325*a**4/72 - 109*a + 3. Factor m(n).
-n**2*(n + 5)**2*(n + 53)/6
Let q be (-233926)/9504 + 25 - 4/54. Let x(w) be the first derivative of -1/24*w**3 - 1/32*w**4 - 3/8*w + q*w**2 + 12. Factor x(y).
-(y - 1)**2*(y + 3)/8
Let t(h) be the second derivative of -1/32*h**4 - 1/48*h**3 + 1/160*h**5 - 2 + 3/16*h**2 - 5*h. Factor t(s).
(s - 3)*(s - 1)*(s + 1)/8
Factor 40/3*k**2 - 240 - 5/3*k**3 + 20*k.
-5*(k - 6)**2*(k + 4)/3
Let s = 6384 - 6380. Let c(u) be the third derivative of 0*u**s + 1/60*u**5 + 0*u**3 + 0 + 1/120*u**6 + 0*u + 12*u**2. Factor c(v).
v**2*(v + 1)
Let v(p) be the second derivative of 50/3*p**3 + 12*p**2 + 119*p + 0 + 4/3*p**4. Factor v(d).
4*(d + 6)*(4*d + 1)
Let w(o) be the third derivative of 0 + 2*o**2 - 5/18*o**3 - 1/2*o**6 + 55/72*o**4 - 46*o - 2/3*o**5. Factor w(r).
-5*(r + 1)*(6*r - 1)**2/3
Determine z so that -1/3*z + 1/3*z**3 - 20/3 + 20/3*z**2 = 0.
-20, -1, 1
Factor -1/9*t**3 + 4/9*t - 32/9 + 8/9*t**2.
-(t - 8)*(t - 2)*(t + 2)/9
Let p(z) = 6*z**3 + 23*z**2 - 59*z + 53. Let t(n) = 8*n**3 + 22*n**2 - 58*n + 54. Let k(x) = 6*p(x) - 5*t(x). Let k(h) = 0. Calculate h.
2, 3
What is o in 54*o**3 + 0*o**2 - 2/3*o**5 + 0 + 16*o**4 + 0*o = 0?
-3, 0, 27
Suppose 5*y - 27 = -j, -1185 = -3*j + 3*y - 1194. Suppose -2 - 4*z**j + 0*z**3 + 2/3*z**4 + 16/3*z = 0. What is z?
-3, 1
Let o = 4958 - 4954. Let s(u) be the first derivative of -1/24*u**3 + 1/32*u**o + 0*u**2 + 0*u + 4. Find r, given that s(r) = 0.
0, 1
Let c(h) be the third derivative of -h**6/40 + 23*h**5/20 + 55*h**4 - 5082*h**3 + 8*h**2 - 72*h. Factor c(l).
-3*(l - 22)**2*(l + 21)
Let d(c) = c**2 + 37*c + 42. Let f be (222/(-27) - -8) + (-76)/(-18). Let r(j) = -2*j**2 - 38*j - 44. Let b(k) = f*d(k) + 3*r(k). Factor b(w).
-2*(w - 18)*(w + 1)
Factor 4/5*m**2 + 0*m + 0 + 0*m**3 - 4/5*m**4.
-4*m**2*(m - 1)*(m + 1)/5
Suppose j = -10*j + 2*j. Suppose -7*a = 5*h - 3*a - 20, j = a. Factor -4/5*y**2 + h*y + 0.
-4*y*(y - 5)/5
Let o(v) be the third derivative of v**8/1008 - 71*v**7/126 + 10441*v**6/120 + 33467*v**5/180 - 19936*v**4/9 + 15842*v**3/3 - 2013*v**2. Solve o(l) = 0 for l.
-3, 1, 178
Factor 6 - 3/7*d**2 - 15/7*d.
-3*(d - 2)*(d + 7)/7
Suppose 1481*r - 1971 = 991. Determine c so that -55*c - 39/2*c**r + 5*c**3 - 121/4 - 1/4*c**4 = 0.
-1, 11
Factor -4*s**3 + 1711*s + 1138*s - 1949*s.
-4*s*(s - 15)*(s + 15)
Suppose 3*b = -10*j + 5*j - 2, -b + 4 = -3*j. Let k be ((-