t c(q) = 16*q**5 + 20*q**4 - 2*q**3 - 6*q**2 - 2*q + 6. Let j(n) = -n + 3. Let l(w) = c(w) - 2*j(w). Determine o so that l(o) = 0.
-1, -3/4, 0, 1/2
Let q be (-4)/4 + (8 - 2). Suppose -4*t + 3 = s - q, -2*t = -s - 4. Determine w, given that 9/2 + 39/4*w - 15/4*w**t = 0.
-2/5, 3
Factor 81*m + 12*m + 1521 + m**2 - 15*m.
(m + 39)**2
Let n(z) be the first derivative of 5/3*z**3 - 2 + 0*z + 5*z**2. Let n(w) = 0. What is w?
-2, 0
Let u(p) = -8 - 11*p**2 + p**3 - 2 + 16 - p + 5*p**4. Let w(d) = 10*d**4 + 3*d**3 - 23*d**2 - 3*d + 13. Let k(j) = -13*u(j) + 6*w(j). Factor k(m).
-5*m*(m - 1)**2*(m + 1)
Let f(z) be the second derivative of 1/126*z**7 - 7*z + 1/10*z**5 + 1/18*z**3 - 2/45*z**6 - 1/9*z**4 + 0 + 0*z**2. What is x in f(x) = 0?
0, 1
Let a = -3 - -23. Determine b, given that -14*b + a*b - 5*b - b**2 = 0.
0, 1
Let j(g) be the first derivative of 2*g**5/15 + g**4/2 - 2*g**3 + 5*g**2/3 + 384. Find v, given that j(v) = 0.
-5, 0, 1
Factor 3 - 1/2*j**2 + 1/2*j.
-(j - 3)*(j + 2)/2
Suppose 21 - 123/2*s**3 - 114*s + 639/4*s**2 - 21/4*s**4 = 0. Calculate s.
-14, 2/7, 1
Suppose -764*b + 757*b + 28 = 0. Let n = -370 + 1489/4. Factor -9/4*c**3 + 0 + 3/4*c**b + n*c**2 - 3/4*c.
3*c*(c - 1)**3/4
Let c = -1/25 + 653/75. Let j(a) be the first derivative of 12*a**2 - 7 + 3*a**4 - 8*a - c*a**3 - 2/5*a**5. Factor j(t).
-2*(t - 2)**2*(t - 1)**2
Let k = -328 + 329. Let s be 52/104 + k/(-4). Factor 0 + 0*r + s*r**2.
r**2/4
Let b(g) be the second derivative of g**8/1680 + g**7/420 - g**6/360 - g**5/60 - g**3/6 + 11*g. Let o(h) be the second derivative of b(h). Factor o(s).
s*(s - 1)*(s + 1)*(s + 2)
Let a(o) = 3*o**2 + 7*o + 2. Let r be a(-5). Let l be -1 + (-219)/(-35) - r/105. Solve 4/7 + 54/7*m**4 - l*m - 18*m**3 + 102/7*m**2 = 0.
1/3, 2/3, 1
Let m(c) be the first derivative of c**6/8 + 9*c**5/20 - 63*c**4/16 - 47*c**3/4 + 45*c**2 + 108*c + 10. Suppose m(s) = 0. What is s?
-4, -1, 3
Suppose 5*m + 4*n = 10, 5*n - 9 = -m - 7. Factor 33*i**m - 22*i**2 - 14*i**2 + 18 + 3*i.
-3*(i - 3)*(i + 2)
Let w(c) be the third derivative of c**11/1829520 - c**9/332640 - c**5/60 + 10*c**2. Let j(f) be the third derivative of w(f). What is d in j(d) = 0?
-1, 0, 1
Let s(a) = -a**3 - 41*a**2 + 89*a + 134. Let o be s(-43). Suppose 2/3*m**o - 2/5*m**2 + 2/5*m**4 - 14/15*m**3 + 0 + 4/15*m = 0. Calculate m.
-1, 0, 2/5, 1
Let v(p) = -14*p - 82. Let s be v(-6). Let n(y) be the second derivative of -1/18*y**3 + 0 + 1/60*y**5 + 3*y + 0*y**s + 0*y**4. Solve n(l) = 0 for l.
-1, 0, 1
Let q(j) = 8*j - 6. Let h be q(-3). Let x = h - -32. Suppose -8*r - x + r**2 + 0 + 9*r = 0. Calculate r.
-2, 1
Let h(f) be the second derivative of 1/20*f**5 + 6*f + 0*f**3 + 0 + 0*f**2 - 1/48*f**4. Factor h(q).
q**2*(4*q - 1)/4
Let b(l) = l**2 - 5*l + 3. Let p be b(3). Let v be 5/((-15)/(-9)) + p. Factor -d**4 - 6*d**2 - 6*d**3 + v*d**2 - 2*d**5 - 5*d**4 + 4*d**2.
-2*d**2*(d + 1)**3
Let i be 3 + ((-2)/(-8) - (-330)/(-40)). Let r be 4 + -3 + (i - -4). Factor 0 + r*v**2 + 0*v + 2/5*v**5 + 2/5*v**3 - 4/5*v**4.
2*v**3*(v - 1)**2/5
Find y such that -1/5*y**2 - 24/5*y + 5 = 0.
-25, 1
Let b be 78/(-468) - 89*(-1)/6. Let t(p) be the first derivative of 4*p**2 + 28/5*p**5 + b*p**3 + 16*p**4 + 0*p + 5. Let t(m) = 0. Calculate m.
-1, -2/7, 0
Let v = 236 - 232. Let q(r) be the second derivative of 0 + 1/40*r**6 - 3*r + 0*r**2 + 5/16*r**v + 1/4*r**3 + 3/20*r**5. Determine f so that q(f) = 0.
-2, -1, 0
Let j = -20 + 18. Let w be 1*(3 - (j - 1)). Find a, given that -w*a - 17*a - 36 - a - 4*a**2 = 0.
-3
Let j be (0 + -5)*(32 - 33). Let a(y) be the third derivative of 1/60*y**6 - 1/3*y**3 + 1/4*y**4 - 1/10*y**j - y**2 + 0 + 0*y. Factor a(s).
2*(s - 1)**3
Let u(w) = 4*w**2 - 8*w + 7. Let a(k) = 2*k**2 - 2*k**2 + 9*k - 8 - 5*k**2. Let f(p) = 3*a(p) + 4*u(p). Factor f(o).
(o - 4)*(o - 1)
Let a(w) be the first derivative of 2*w**5/65 - 5*w**4/26 + 6*w**3/13 - 7*w**2/13 + 4*w/13 + 76. Factor a(u).
2*(u - 2)*(u - 1)**3/13
Let k be (-3)/9 - (-14)/6. Determine w, given that -16*w**4 + 32*w - 120*w**k + 4*w - 35*w**3 - 57*w**3 = 0.
-3, 0, 1/4
Let p(o) be the third derivative of o**5/270 + o**4/18 + 3*o**2 - 32. Solve p(w) = 0.
-6, 0
Let s(b) be the third derivative of 17*b**5/20 + 155*b**4/24 + b**3 - 145*b**2 - 2. Factor s(w).
(w + 3)*(51*w + 2)
Let j(t) = 10*t**2 + 164*t + 64. Let r(x) = 30*x**2 + 492*x + 192. Let l(h) = -11*j(h) + 4*r(h). Solve l(y) = 0 for y.
-16, -2/5
Suppose q + 7*q = -8. Let u(o) = 3*o**4 + 3*o**3 + o**2 + 5*o + 4. Let w(y) = -y**4 - y**3 - y - 1. Let z(b) = q*u(b) - 4*w(b). Find l such that z(l) = 0.
-1, 0, 1
Let q = 89547/4 - 22386. Factor q*j**3 - 1/4*j + 1/2*j**4 + 0 + 0*j**2.
j*(j + 1)**2*(2*j - 1)/4
Let j(s) = -s**3 + 2*s**2 + 3*s + 2. Let p(q) = q**3 - 5*q**2 - 6*q - 5. Let r(t) = 5*j(t) + 2*p(t). Factor r(v).
-3*v*(v - 1)*(v + 1)
Let o(f) be the second derivative of f**8/3360 + f**7/1260 - f**6/180 - f**4/2 + 4*f. Let t(y) be the third derivative of o(y). Factor t(x).
2*x*(x - 1)*(x + 2)
Let s(j) be the third derivative of -5*j**8/4032 + j**7/144 - j**6/72 - 4*j**5/15 + j**4/12 + 28*j**2. Let t(w) be the third derivative of s(w). Factor t(q).
-5*(q - 1)*(5*q - 2)
Solve 36*s + 41*s**2 + s**3 - 3*s**3 - s**3 - 14*s**2 - 15*s**2 = 0.
-2, 0, 6
Let d(c) be the first derivative of -c**6/10 + 12*c**5/25 + 3*c**4/4 - 27. Solve d(k) = 0.
-1, 0, 5
Let z = 2 - -10. Let b = z + -9. Factor -6*l + b*l**4 + 0*l**4 + 15*l**2 - 12*l**3 + 0*l**2.
3*l*(l - 2)*(l - 1)**2
Let j(m) = m**3 - 10*m**2 + 20*m - 14. Let k(n) = -100*n + 48*n**3 + 51*n**2 + 69 - 30*n**3 - 23*n**3. Let d(h) = 11*j(h) + 2*k(h). Factor d(w).
(w - 4)*(w - 2)**2
Let z(t) = t**2 - 7*t + 11. Suppose -36 = 7*q - 13*q. Let n be z(q). Factor 0*w + 4/5*w**2 + 0 - 3/5*w**4 - 1/5*w**n + 0*w**3.
-w**2*(w - 1)*(w + 2)**2/5
Let r(d) be the first derivative of -d**5/80 + d**4/16 - d**2/2 + 11*d + 8. Let a(j) be the first derivative of r(j). Determine h, given that a(h) = 0.
-1, 2
Let x(l) be the third derivative of l**9/68040 - l**8/10080 + l**7/3780 - l**6/3240 + l**4/12 - 23*l**2. Let c(w) be the second derivative of x(w). Factor c(i).
2*i*(i - 1)**3/9
Let s = 3405 + -3405. What is z in 0*z + s*z**3 + 5/9*z**2 - 1/9*z**4 - 4/9 = 0?
-2, -1, 1, 2
Let n(m) be the first derivative of 2*m**3/27 + 46*m**2/9 + 176*m/9 - 43. Factor n(v).
2*(v + 2)*(v + 44)/9
Let z(j) be the second derivative of -j**6/240 - 3*j**5/160 + 5*j**4/12 - 4*j + 48. Suppose z(v) = 0. What is v?
-8, 0, 5
Let w(j) be the third derivative of j**9/43200 - j**8/20160 - j**7/12600 - 3*j**5/10 - 13*j**2. Let l(h) be the third derivative of w(h). Factor l(k).
k*(k - 1)*(7*k + 2)/5
Suppose -8*y + 21 = -y. Let r(h) be the first derivative of 1 + 1/18*h**y + 0*h - 1/6*h**2. Factor r(d).
d*(d - 2)/6
Let h(b) = 744*b**2 + 1552*b + 776. Let k(c) = -c**3 + 1494*c**2 + 3103*c + 1552. Let y(a) = 7*h(a) - 4*k(a). Factor y(x).
4*(x - 194)*(x + 1)**2
Let f = -25 + 31. Find b such that 34*b**2 - 22*b**3 - 16 - 18*b**2 + 4*b**5 + 24*b - f*b**4 + 0*b**4 + 12*b**2 = 0.
-2, -1, 1/2, 2
Let t(p) be the second derivative of -p**5/110 + 37*p**4/11 - 5476*p**3/11 + 405224*p**2/11 + 3*p - 91. Find r such that t(r) = 0.
74
Let z(r) be the second derivative of r**5/140 + r**4/21 - 11*r**3/42 - 15*r**2/7 + 2*r - 547. Factor z(a).
(a - 3)*(a + 2)*(a + 5)/7
Let z = -3/284 - -293/852. Let g(a) be the first derivative of -z*a**3 + 0*a - 1/8*a**4 + 3/4*a**2 + 1. Factor g(t).
-t*(t - 1)*(t + 3)/2
Let a(i) be the third derivative of 16*i**2 + 0*i**3 + 0*i**4 + 0 + 0*i - 1/60*i**5. Let a(t) = 0. Calculate t.
0
Let m(w) be the third derivative of 7*w**5/120 - 5*w**4/8 + 8*w**3/3 - 205*w**2 + 2. Factor m(g).
(g - 2)*(7*g - 16)/2
Let i(r) = -r - 21. Let z be i(-23). Let h(n) be the first derivative of -2/15*n**5 + 3 + 1/2*n**4 + 4/3*n - 2/9*n**3 - n**z. Determine q, given that h(q) = 0.
-1, 1, 2
Suppose 2*p + 4*d + 364 = 0, 375 = -2*p - d + 14. Let n = 542/3 + p. Factor 0 + 1/3*v**3 - n*v**2 + 1/3*v.
v*(v - 1)**2/3
Let j(p) be the first derivative of p**7/4200 + p**6/900 + p**5/600 - 10*p**3/3 - 8. Let g(o) be the third derivative of j(o). Factor g(h).
h*(h + 1)**2/5
Let v(g) be the first derivative of -g**6/60 + g**4/3 + 3*g**2 - 12. Let p(y) be the second derivative of v(y). Factor p(a).
-2*a*(a - 2)*(a + 2)
Let h(c) be the first derivative of 