2 - 44*i = 0.
-14, 1, 3
Suppose -4*j + 50 = -a + 2*a, 5*j - 3*a - 54 = 0. Let k = j - 10. Find m, given that -2*m**3 + 2*m**3 - m - 2*m**2 + m**3 + k*m = 0.
0, 1
Let j = -285 - -287. Determine l, given that 2/5*l**5 + 8/5*l**j - 4/5*l**4 + 0 - 6/5*l**3 + 8/5*l = 0.
-1, 0, 2
Let j(g) = -17*g**2 - 121*g - 259. Let c(b) = -20*b**2 - 120*b - 262. Let s(x) = 5*c(x) - 6*j(x). Find q such that s(q) = 0.
-61, -2
Let m(c) be the second derivative of c**7/2520 - c**6/144 - c**5/20 - 17*c**4/6 - 55*c. Let b(y) be the third derivative of m(y). Find d such that b(d) = 0.
-1, 6
Let t(o) be the second derivative of o**4/78 + 34*o**3/39 - 35*o**2/13 + 7*o + 2. Factor t(l).
2*(l - 1)*(l + 35)/13
Suppose 7/4*v**4 + 308*v + 68 + 264*v**2 + 67*v**3 = 0. What is v?
-34, -2, -2/7
Let a(v) = 33*v - 657. Let i be a(20). Let d(o) be the first derivative of 1/2*o**2 - 6 - 2/3*o + 2/9*o**i. Let d(t) = 0. What is t?
-2, 1/2
Let f(h) be the second derivative of -h**6/10 - 3*h**5/5 - 3*h**4/4 + 2*h**3 + 6*h**2 - 8*h - 1. Determine l, given that f(l) = 0.
-2, -1, 1
Factor -16914*g**5 + 32*g**4 + 32*g**3 + 16918*g**5 - 8*g**4.
4*g**3*(g + 2)*(g + 4)
Let l be 11 - 45/(-1 + 6). Let r(o) be the first derivative of o + 4 + 2/3*o**3 + 1/8*o**4 + 5/4*o**l. Solve r(x) = 0.
-2, -1
Suppose -4*o = 3*q - 2*o - 12, -4 = -5*q + 2*o. Determine r, given that r - 2*r**2 - q*r**2 + 3*r = 0.
0, 1
Let r = 76 + -72. Factor 13*m**4 - 8*m**2 - 4*m - 5*m**r + 7*m + m - 4*m**5.
-4*m*(m - 1)**3*(m + 1)
Let h(w) be the third derivative of -2*w**7/105 + w**5/5 + w**4/3 + 22*w**2 + 3*w. Factor h(a).
-4*a*(a - 2)*(a + 1)**2
Let a = 13/1278 - -469/426. Determine f so that -26/9*f - 14/9 - a*f**2 + 2/9*f**3 = 0.
-1, 7
Find l, given that -2*l**4 - 14941*l**3 - 23*l**2 - 119*l**2 + 99*l + 90 + 14980*l**3 = 0.
-1/2, 2, 3, 15
Suppose 50*w - 31*w = 76. Factor 1/2*z**w - 1/2*z**2 + 0 + z**3 - z.
z*(z - 1)*(z + 1)*(z + 2)/2
Let l(o) be the third derivative of -o**10/453600 + o**9/60480 - o**8/30240 + 7*o**5/60 - 12*o**2. Let v(s) be the third derivative of l(s). Factor v(q).
-q**2*(q - 2)*(q - 1)/3
Let a(p) be the first derivative of 0*p**3 - 6/5*p**5 + 0*p + 15 + 3/4*p**4 - 3/2*p**6 + 0*p**2. Determine x so that a(x) = 0.
-1, 0, 1/3
Let z(h) be the second derivative of -h**7/168 + 11*h**6/120 - 27*h**5/80 + 25*h**4/48 - h**3/3 + 2*h + 45. Determine v, given that z(v) = 0.
0, 1, 8
Let w(f) be the second derivative of -f**5/25 - 11*f**4/20 + 14*f**3/15 + 9*f**2/10 + 145*f. Factor w(v).
-(v - 1)*(v + 9)*(4*v + 1)/5
Let j(o) be the first derivative of -o**8/3360 - o**7/1120 - o**6/1440 - 5*o**3/3 - 9. Let x(c) be the third derivative of j(c). Factor x(y).
-y**2*(y + 1)*(2*y + 1)/4
Let n = -25136 - -25136. Factor -24/7*l**3 - 4/7*l**5 + 0*l**2 + 20/7*l**4 + n + 0*l.
-4*l**3*(l - 3)*(l - 2)/7
Let 64 + 143*i + 791*i**2 - 16*i**4 - 423*i - 80*i**3 - 443*i**2 = 0. What is i?
-8, 1/2, 2
Let x be 2 - 2*(0 - 6). Factor -x*q**3 - 317*q + 8*q**4 + 317*q - 4*q**2.
2*q**2*(q - 2)*(4*q + 1)
Let 2/9*z**4 + 0*z + 0 + 98/9*z**3 + 0*z**2 = 0. What is z?
-49, 0
Let d be 4/(-24)*(2 + -2). Let p(t) be the second derivative of -1/6*t**4 - 2*t - 1/9*t**3 - 1/24*t**5 + d*t**2 + 0. Factor p(v).
-v*(v + 2)*(5*v + 2)/6
Let j(q) = -q**4 + q**3 + 2*q. Let h(m) = 9*m**4 - 452*m**3 + 73926*m**2 - 5470540*m + 151807041. Let g(b) = 3*h(b) + 24*j(b). Let g(f) = 0. What is f?
111
Let w be (-152)/72 - (-2)/18 - -2. Let o(b) be the first derivative of -3*b**2 + 3 + 21/5*b**5 + w*b + 9/4*b**4 - 3*b**3 + 3/2*b**6. Let o(j) = 0. What is j?
-1, 0, 2/3
Let j(p) be the first derivative of -p**4/38 + 4*p**3/19 - 5*p**2/19 - 38. Factor j(b).
-2*b*(b - 5)*(b - 1)/19
Let f(c) = c**2 + 3*c. Let p(d) = 3*d**2 + 9*d. Let h(k) = -14*f(k) + 4*p(k). Let z(s) = 2*s**2 + 6*s. Let u(n) = 5*h(n) + 4*z(n). Factor u(i).
-2*i*(i + 3)
Let x(a) = 16*a + 14. Let h be x(-1). Let r be (-7)/h + 29 + -32. Factor -1/2 + r*u**2 + 1/2*u**3 - 1/2*u.
(u - 1)*(u + 1)**2/2
Factor -12/5 - 3/5*s**2 + 12/5*s.
-3*(s - 2)**2/5
Let o(c) be the second derivative of c**7/4200 - c**6/600 + c**5/200 - 7*c**4/12 - 4*c. Let b(r) be the third derivative of o(r). Solve b(f) = 0.
1
Suppose 0 = 6*v - 4*v - 4. Let -q**4 - 13*q**4 + 5*q + 75*q**5 - 30*q**v + 124*q**4 = 0. What is q?
-1, 0, 1/5, 1/3
Let x = -8 - -1. Let w = 9 + x. Let 10/7*b + 2/7*b**w - 4/7*b**3 + 4/7 = 0. Calculate b.
-1, -1/2, 2
Factor 16 - 2/7*z**3 - 120/7*z + 36/7*z**2.
-2*(z - 14)*(z - 2)**2/7
Let x(u) be the third derivative of u**8/1176 - u**7/147 + 3*u**6/140 - u**5/30 + u**4/42 - 133*u**2. Solve x(d) = 0 for d.
0, 1, 2
Let u(h) be the second derivative of -h**7/147 + 3*h**6/35 - 12*h**5/35 + 8*h**4/21 - 10*h - 15. Find o such that u(o) = 0.
0, 1, 4
Let y(w) be the second derivative of -w**4/12 + 5*w**3/6 + w**2 + w. Let l be y(5). Factor -2*z**3 - 12*z + 6 - 12*z + 8*z + 10*z**2 + l.
-2*(z - 2)**2*(z - 1)
Let l(f) = 2*f**2 + 64*f - 34. Let x be l(-33). Let a be (-9)/(-6)*(-4 + x/6). Find t such that 4/5*t**5 + 8/5*t**3 - 12/5*t + 12/5*t**4 - 8/5*t**a - 4/5 = 0.
-1, 1
Factor -2 + 60 + 3*z**2 + 23 + 0*z**2 - 84*z.
3*(z - 27)*(z - 1)
Let c = -87461/7 - -12498. Let -10/7*s + c + 1/7*s**2 = 0. Calculate s.
5
Let y(q) be the first derivative of q**4/30 - 32*q**3/45 + q**2 + 45. What is b in y(b) = 0?
0, 1, 15
Let f be (-30)/3 + 2 + -1. Let t = -7 - f. Determine a, given that -26*a + 230*a - 867*a**t + 0 - 12 = 0.
2/17
Let z(x) = -3*x**3 + 3*x**2 - 12. Let b(q) be the second derivative of -q**4/12 + 15*q. Let m(j) = 6*b(j) - z(j). Find p, given that m(p) = 0.
-1, 2
Let z(x) = -73*x + 9. Let m be z(6). Let r be (m/18)/(-13)*4. What is w in -10*w - r*w**3 - 4/3 - 16*w**2 = 0?
-1, -2/11
Suppose 4*v + 20 = 0, -3*q - 2*v = -2*q - 170. Let w = -180 + q. Factor 0*b**4 + 2/5*b**5 + 0 + 2/5*b - 4/5*b**3 + w*b**2.
2*b*(b - 1)**2*(b + 1)**2/5
Factor -1/5*x**2 - 148/5*x - 5476/5.
-(x + 74)**2/5
Let m(q) be the third derivative of q**5/60 + 25*q**2. Let h(b) = b**2 - 13*b - 10. Let w(c) = h(c) + 2*m(c). Factor w(u).
(u - 5)*(3*u + 2)
Suppose -l - 13 = 1. Let y = -12 - l. Factor 3*o**y + 15/4*o + 3/4.
3*(o + 1)*(4*o + 1)/4
Let 4/5*r**3 + 32/5 + 24/5*r**2 + 48/5*r = 0. What is r?
-2
Let o(v) be the third derivative of -v**6/300 - v**5/150 + v**4/6 - 8*v**3/15 - 82*v**2. Factor o(j).
-2*(j - 2)*(j - 1)*(j + 4)/5
Let m(p) be the third derivative of p**5/14 - p**4/12 - 4*p**3/21 + 5*p**2 + 6. Factor m(a).
2*(3*a + 1)*(5*a - 4)/7
Factor -10416*m + 162*m**4 - 2*m**5 - 347*m**2 - 3030*m**3 - 4457*m**2 - 3528 - 5278*m**2.
-2*(m - 42)**2*(m + 1)**3
Let i(t) = -t**3 - t + 1. Let m(v) be the first derivative of v**3/3 + 3*v**2/2 - v + 9. Let w(y) = -2*i(y) - 2*m(y). Suppose w(c) = 0. What is c?
-1, 0, 2
Let i(o) = o**2 + 8*o + 4. Let b be (-43)/5 + 12/20. Let d be i(b). Factor 0*f**3 + 0*f - f**2 - f**3 + 2*f - f + f**d.
f*(f - 1)**2*(f + 1)
Factor m**2 + 3/5*m**4 + 0*m - 9/5*m**3 + 1/5*m**5 + 0.
m**2*(m - 1)**2*(m + 5)/5
Let i(r) be the first derivative of -r**4/4 + 76*r**3/9 + 53*r**2/6 - 26*r/3 + 771. Factor i(h).
-(h - 26)*(h + 1)*(3*h - 1)/3
Let h(c) be the first derivative of -5*c**4/8 - 40*c**3/3 - 205*c**2/4 - 65*c - 198. Factor h(z).
-5*(z + 1)*(z + 2)*(z + 13)/2
Factor -16/3*o - 2/3*o**2 + 0.
-2*o*(o + 8)/3
Factor -156*s**2 + 3*s + 109*s**2 + 7*s - 9*s**3 + 18*s**3.
s*(s - 5)*(9*s - 2)
Suppose -12/17*y**4 - 10/17*y**3 - 2/17*y**5 + 0 + 72/17*y + 48/17*y**2 = 0. What is y?
-3, -2, 0, 2
Factor -600*y + 49226 + 83*y**2 - 4226 - 81*y**2.
2*(y - 150)**2
Let g(k) be the first derivative of -23 - 3/2*k**4 + 8/35*k**5 - 24/7*k**2 + 8/7*k + 74/21*k**3. What is p in g(p) = 0?
1/4, 1, 2
Let m(v) be the second derivative of 2/9*v**3 - v + 0*v**2 + 7/18*v**4 + 0 - 2/15*v**5. Suppose m(d) = 0. Calculate d.
-1/4, 0, 2
Let o(d) be the second derivative of d**4/12 - 13*d**3/6 + 63*d. Suppose o(b) = 0. Calculate b.
0, 13
Let y(c) be the second derivative of c**6/120 - c**4/24 - 11*c**2/2 - 5*c. Let v(x) be the first derivative of y(x). Factor v(h).
h*(h - 1)*(h + 1)
Let l(i) = -16*i**2 + 11*i + 142. Let t(p) = -11*p**2 + 7*p + 95. Let m(u) = -5*l(u) + 7*t(u). Factor m(b).
3*(b - 5)*(b + 3)
Let j(f) be the second derivative of f**4/36 + 49*f**3/9 + 2401*f**2/6 + 334*f. Suppose j(l) = 0. What is l?
-49
Let b(u) be the first derivative of -2*u**3/15 + u**2 - 8*u/5 -