.
0, 3
Let o(z) = -12*z**2 + 12*z + 13. Let k(w) be the second derivative of -w**4/12 + w**3/6 + w**2/2 - 21*w. Let p(i) = 22*k(i) - 2*o(i). Solve p(h) = 0.
-1, 2
Let b be (104/(-10) + 8)*(-20)/(-3). Let s(y) = y**3 + 15*y**2 - 16*y. Let m be s(b). Factor m + 9/4*z + 3/4*z**2.
3*z*(z + 3)/4
Let k be (1 - -6) + 4/(-4). Factor -296*x**3 + 0*x**2 - 5*x + 291*x**3 - 4*x**2 - k*x**2.
-5*x*(x + 1)**2
Let u(j) be the first derivative of -15/2*j**2 + 3/4*j**4 - 10 - j**3 - 9*j. Factor u(v).
3*(v - 3)*(v + 1)**2
Let g(f) be the second derivative of f**6/180 + f**5/20 + 5*f**4/72 - 111*f. Find s such that g(s) = 0.
-5, -1, 0
Let g(i) be the third derivative of -i**5/24 + 55*i**4/48 + 11*i**2. Factor g(x).
-5*x*(x - 11)/2
Let r = -89 + 132. Factor -q**4 - 42*q**3 + 3*q - q**5 - 3*q + q**2 + r*q**3.
-q**2*(q - 1)*(q + 1)**2
Suppose 5*a - 5 - 60 = 0. Factor -a*o + 23*o + 9*o**4 + 6*o**4 + 0*o**2 + 10*o**3 - 35*o**2.
5*o*(o - 1)*(o + 2)*(3*o - 1)
Suppose y + 4*v - 42 = -v, -3*y = -3*v + 18. Suppose -6*d + 0 + 7/2*d**3 + 5/2*d**4 - 14*d**y = 0. Calculate d.
-3, -2/5, 0, 2
Let r = -6339 + 6339. Factor -1/5 + 2/5*z**3 - 2/5*z + 1/5*z**4 + r*z**2.
(z - 1)*(z + 1)**3/5
Let c(z) be the first derivative of -2*z - 1 + 0*z**4 - 1/10*z**6 + 0*z**2 + 0*z**5 + 0*z**3 + 1/14*z**7. Let y(b) be the first derivative of c(b). Factor y(p).
3*p**4*(p - 1)
Let l be (-2 - (11 + 2)) + 2. Let f = l + 17. Find u such that -4*u**f + 9*u**5 - 3*u**4 - 9*u**3 + 4*u**4 + 3*u**2 = 0.
-1, 0, 1/3, 1
Factor -8*y**2 + 4/3*y - 5*y**3 + 0 + 13/3*y**4.
y*(y - 2)*(y + 1)*(13*y - 2)/3
Let f(y) = -y**3 - y**2 - y - 1. Let t(k) = 12*k**3 + 424*k**2 - 836*k + 432. Let j(s) = 8*f(s) + t(s). Solve j(b) = 0.
-106, 1
Let a(z) = -2*z**4 - 3*z**3 + 13*z**2 + 17*z + 18. Let l(w) = 2*w**4 + 2*w**3 - 14*w**2 - 18*w - 16. Let p(q) = 4*a(q) + 5*l(q). Factor p(c).
2*(c - 4)*(c + 1)**3
Suppose -4*d - 26 = -r - 99, -5*r - 461 = 4*d. Let p = 91 + r. Suppose 1/8*c + 0 - 1/8*c**p = 0. Calculate c.
0, 1
Let m(r) be the first derivative of -44/3*r**3 - 12 - 14/5*r**5 - 6*r - 13*r**2 - 9*r**4 - 1/3*r**6. Factor m(p).
-2*(p + 1)**4*(p + 3)
Let v(b) be the first derivative of -b**7/84 - b**6/24 - b**5/24 + 4*b**3/3 - 13. Let s(k) be the third derivative of v(k). Determine p so that s(p) = 0.
-1, -1/2, 0
Let m be -2*(-8)/((-16)/(-3)). Factor 30*v**m - 6*v**2 + 24*v**2 + 3*v**5 - 6*v**3 - 27*v - 18*v**4 + 0*v**4.
3*v*(v - 3)**2*(v - 1)*(v + 1)
Solve 4*y - y**3 + 63/4*y**2 + 0 = 0 for y.
-1/4, 0, 16
Let w(m) be the third derivative of -m**8/1008 + m**7/630 + 7*m**6/360 - 13*m**5/180 + m**4/12 - 332*m**2 - 2. Let w(g) = 0. What is g?
-3, 0, 1, 2
Let g = -32614/45 - -6530/9. Find b such that 4/5 - 4/5*b**2 - 4/5*b**3 + g*b = 0.
-1, 1
Let r be -5 + 13 - (-78)/(-12). Suppose 12*h - 3/2*h**3 - 18 + r*h**2 = 0. What is h?
-3, 2
Let z(b) be the second derivative of b**6/15 + 14*b**5/5 + 13*b**4 + 76*b**3/3 + 25*b**2 - 2*b + 177. Factor z(u).
2*(u + 1)**3*(u + 25)
Suppose 0 = -8*z + 6*z - 5*c + 805, 4*c - 1640 = -4*z. Let d be -10*(3 + z/(-125)). Factor -d - 4/5*x**3 - 4*x**2 - 32/5*x.
-4*(x + 1)*(x + 2)**2/5
Let d = -221/3 - -74. Let a be 18*((-9)/(-2))/9. Factor a*m - 3*m**2 + d*m**3 - 9.
(m - 3)**3/3
Let s = 22 - 18. Suppose 4*k - 20 = -2*q, 2*k - s = 2*q - 0. Factor -12*g**k - 5 - 24*g - 80*g**2 - 8*g - 56*g**3 + 5.
-4*g*(g + 2)**2*(3*g + 2)
Let h(y) = -3*y - 7. Let p be h(-9). Let f(l) = l**2 - 1. Let s(j) = 5*j**2 - 4*j. Let o(a) = p*f(a) - 5*s(a). Solve o(d) = 0 for d.
2
Determine t so that -4/9*t**2 - 2/9*t**5 + 4/9*t**4 + 2*t**3 + 0 - 16/9*t = 0.
-2, -1, 0, 1, 4
Let p(h) = -13*h**2 - h - 2. Let d be p(3). Let s = d + 612/5. Find o, given that -4/5*o**3 - 2/5 + 4/5*o**2 + s*o**5 - 2/5*o**4 + 2/5*o = 0.
-1, 1
Factor -3136 - 8*g**4 + 1492*g - 110*g**3 + 300*g + 10*g**4 + 1452*g**2.
2*(g - 28)**2*(g - 1)*(g + 2)
Let h(s) be the second derivative of -s**5/80 + s**4/16 + s**3/24 - 3*s**2/8 - 124*s. Find m such that h(m) = 0.
-1, 1, 3
Let h(l) be the third derivative of l**9/1344 - l**8/2016 - l**7/112 + l**6/72 + l**5/30 - 10*l**2. Let w(t) be the third derivative of h(t). Factor w(r).
5*(r - 1)*(r + 1)*(9*r - 2)
Let s = -6159 - -6162. Factor 3/8*y**s + 0 + 3/2*y + 3/2*y**2.
3*y*(y + 2)**2/8
Factor -10804*g**2 - 20400*g + 1882 + g**4 - 3068 - 5*g**4 - 408*g**3 - 4645 - 4169.
-4*(g + 1)**2*(g + 50)**2
Let p(u) = u**2 + 29*u - 542. Let w be p(13). Find z such that 4/3*z - 13/9*z**2 - 4/9 - 1/9*z**w + 2/3*z**3 = 0.
1, 2
Let d = -218915 - -1968284/9. Let j = d - -217. Factor 0 - 2/9*x - 4/9*x**2 + j*x**5 + 4/9*x**4 + 0*x**3.
2*x*(x - 1)*(x + 1)**3/9
Let x(r) be the first derivative of r**4/6 - 15*r - 11. Let k(j) be the first derivative of x(j). Let k(a) = 0. Calculate a.
0
Let s(o) = 2*o**2 - 2*o. Let w be s(-2). Let k = 8 + w. Factor 16*j**3 - 7*j**2 - k*j - j**2 - 2*j**5 - 8 + 6*j**5 + 4*j**4 + 12*j**4.
4*(j - 1)*(j + 1)**3*(j + 2)
Factor 45 - 93 - 362 - 404 + 62 - 368*o + 4*o**2.
4*(o - 94)*(o + 2)
Let t(g) be the third derivative of g**6/30 - 14*g**5/15 + 16*g**4/3 + 256*g**3/3 + g**2 + 2. Factor t(w).
4*(w - 8)**2*(w + 2)
Solve 36/5*n**4 + 27/5*n**2 + 0 + 0*n - 8/5*n**5 - 54/5*n**3 = 0 for n.
0, 3/2
Let l be ((-37)/(-222))/(1*1/4). Factor 0 + 0*i + l*i**5 + 0*i**2 + 0*i**3 + 2/3*i**4.
2*i**4*(i + 1)/3
Let l(o) be the third derivative of -1/600*o**6 - 1/525*o**7 + 0*o + 0*o**4 + 0 + 0*o**5 + 0*o**3 - 1/1680*o**8 - 3*o**2. Find v such that l(v) = 0.
-1, 0
Let r(v) be the third derivative of 0 + 1/90*v**5 - 1/72*v**4 - 1/18*v**3 + 0*v - 20*v**2. Find o such that r(o) = 0.
-1/2, 1
Let c(z) be the second derivative of z**6/6 - 5*z**5/2 + 45*z**4/4 - 15*z**3 + 88*z. Factor c(h).
5*h*(h - 6)*(h - 3)*(h - 1)
Let l be 1 - 36/16 - (-7 + 5). Let c(y) be the third derivative of 0 + 0*y - l*y**4 + 4*y**2 - 1/20*y**5 - 9/2*y**3. Factor c(n).
-3*(n + 3)**2
Let h(w) be the third derivative of -1/30*w**5 + 0*w - 1/24*w**6 + 0 - 8*w**2 + 0*w**4 - 1/70*w**7 + 0*w**3. Suppose h(v) = 0. What is v?
-1, -2/3, 0
Let p(x) = x**2 + 3. Let r(t) = -41*t**2 - 42*t - 13. Let c(o) = -6*p(o) - 2*r(o). Factor c(a).
4*(a + 1)*(19*a + 2)
Let u(l) be the second derivative of -l**5/190 - 29*l**4/114 - 13*l**3/3 - 507*l**2/19 + 596*l + 1. Factor u(x).
-2*(x + 3)*(x + 13)**2/19
Find w such that 2877 - 14*w**2 - 12*w + 2*w**4 - 2877 = 0.
-2, -1, 0, 3
Find y, given that -68644 - 11*y**2 + 0*y**2 + 6*y**2 + y**2 + 1048*y = 0.
131
Suppose 0 = -11*i + 8 - 4 - 4. Let s be (2/4)/((-2)/(-3)). Factor s*p**2 + 0 + i*p.
3*p**2/4
Let o(j) be the first derivative of j**6/15 + 3*j**5/10 + j**4/6 - j**3 - 2*j**2 + 25*j - 15. Let t(l) be the first derivative of o(l). Factor t(w).
2*(w - 1)*(w + 1)**2*(w + 2)
Let p(d) be the second derivative of 2/15*d**6 - 8/3*d**3 + d**5 - 16*d**2 - 6*d + 0 + 2*d**4. Find y, given that p(y) = 0.
-2, 1
Determine d so that 3*d + 1 + 6*d + 0*d - 7 - 3*d**2 = 0.
1, 2
Let v(m) be the first derivative of 2*m**5/35 + 9*m**4/14 + 20*m**3/7 + 44*m**2/7 + 48*m/7 - 41. Factor v(p).
2*(p + 2)**3*(p + 3)/7
Let z be (-19 + 23)*-3*2/(-30). Factor b**3 + 3/5*b**4 + 0 - 4/5*b - z*b**2.
b*(b - 1)*(b + 2)*(3*b + 2)/5
Factor 2/9*b**2 + 124/9 + 22/3*b.
2*(b + 2)*(b + 31)/9
Let u(j) = j**4 - 2*j + 1. Let g(z) = 3*z**4 + 18*z**3 - 61*z**2 - 188*z - 96. Let r(i) = g(i) - 4*u(i). Determine s, given that r(s) = 0.
-1, 10
Let p(m) be the second derivative of 15*m + 0 + 5/3*m**4 + 0*m**3 + 5/14*m**7 + 0*m**5 + 0*m**2 - 7/6*m**6. What is g in p(g) = 0?
-2/3, 0, 1, 2
Let x = -750 - -21003/28. Let s = x - -103/84. Suppose 5/3*k**3 - s*k - 1/3*k**4 + 8/3 - 2*k**2 = 0. Calculate k.
-1, 2
Factor 34*w + 6182 - 6192 - 45*w**2 + 21*w.
-5*(w - 1)*(9*w - 2)
Let i(v) be the first derivative of -v**7/840 + v**6/120 - 10*v**3/3 + 5. Let x(f) be the third derivative of i(f). Factor x(t).
-t**2*(t - 3)
Let r(h) = -22*h**2 - 12*h - 10. Let o(c) = -2*c**2 - 1. Let a(w) = 10*o(w) - r(w). Suppose a(j) = 0. Calculate j.
-6, 0
Let a be (32*(-3)/(-42))/(((-60)/21)/(-2)). Let a + 16/5*o + 2/5*o**3 + 2*o**2 = 0. What is o?
-2, -1
Let u be (2592/12)/(3/(-4)). Let t be (-1 - 3) + u/(-63). Factor 2/7*q**3 + 4/7 - 2/7*q - t*q**2.
2*(q - 2)*(q - 1)*(q + 1)/7
Let n(w) = -19*w**2 - 179*w - 2121. Let z(i) = 11*i**2 + 89*i + 1061. Let k(m) = 6*n(m) + 10*z(m). Suppose k(v) = 0. Calculate v.
-23
Let r(