 + 7225 + 8*y = 0.
85
Suppose 2*y = -3*y - 2*c + 346, -4*y + 260 = -4*c. Let a = y + -65. Factor 3/4*r - 1/2 - 1/4*r**a + 0*r**2.
-(r - 1)**2*(r + 2)/4
Let s(b) be the third derivative of -5/54*b**4 + 1/27*b**3 - 31*b**2 + 5/54*b**5 + 0 + 0*b. Factor s(h).
2*(5*h - 1)**2/9
Suppose -1 = 5*m - 6. Suppose -i + m = -1. Solve 2*h**2 - 4*h + h + 4*h**3 - 10*h**i - h + 8 = 0.
-1, 1, 2
Let d(l) be the third derivative of -5329*l**5/75 - 146*l**4/15 - 8*l**3/15 - 172*l**2. Find s such that d(s) = 0.
-2/73
Factor 165*u**2 + 100*u + 200*u - 170*u**2 + 30*u - 1208 - 4237.
-5*(u - 33)**2
Let o(t) be the first derivative of -t**4 + 20*t**3/3 - 14*t**2 + 12*t + 344. What is p in o(p) = 0?
1, 3
Let x be (-8 - (-6 + -7)) + 1498/(-346). Let u = -2/519 + x. Factor -o - 2/3*o**2 + u.
-(o + 2)*(2*o - 1)/3
Let h be 56/90 - 94/235. Let i(n) be the first derivative of 1/15*n**5 - h*n**3 + 1/3*n + 7 + 0*n**4 + 0*n**2. Determine z so that i(z) = 0.
-1, 1
Let n(x) be the second derivative of -3/80*x**5 + 0*x**4 - 3/16*x**2 + 2*x + 1/8*x**3 + 0 + 1/80*x**6. Factor n(i).
3*(i - 1)**3*(i + 1)/8
Let n(v) be the third derivative of -7/30*v**3 - 1/8*v**4 - 1/150*v**5 + 3*v**2 + 0*v + 0. Factor n(k).
-(k + 7)*(2*k + 1)/5
Suppose 0 - 34/5*t**4 - 41/5*t**2 + 77/5*t**3 + 6/5*t - 8/5*t**5 = 0. What is t?
-6, 0, 1/4, 1/2, 1
Let d(l) be the second derivative of -l**4/96 - l**3/2 + 373*l. Suppose d(w) = 0. Calculate w.
-24, 0
Let c(p) be the first derivative of 49*p**4/36 - 119*p**3/27 - 40*p**2/9 - 4*p/3 + 11. Solve c(r) = 0.
-2/7, 3
Let o(v) be the first derivative of 3*v**4/4 - 3*v**3 + 3*v**2 - 90. What is j in o(j) = 0?
0, 1, 2
Let i = 181/196 - 33/49. Let k(l) be the first derivative of 4 - i*l**4 + 0*l**2 + 4*l + 1/6*l**6 - 7/3*l**3 + 3/5*l**5. Determine h so that k(h) = 0.
-2, -1, 1
Let b(q) = 7*q + 4 - 2*q**2 + 0 + 5. Suppose -4*a + 18 = 3*z, -2*a + a + 5*z = -16. Let n(c) = -c**2 + 4*c + 5. Let y(f) = a*b(f) - 10*n(f). Solve y(u) = 0.
-1, 2
Let u(c) be the first derivative of -2*c**5/5 - c**4 + 2*c**3 - 419. Factor u(f).
-2*f**2*(f - 1)*(f + 3)
Let k = 15 + -10. Suppose 3*n - k - 4 = 0. Factor 9*t**3 + n - 9*t + 3 + 2*t**2 - 8*t**2.
3*(t - 1)*(t + 1)*(3*t - 2)
Let w(f) be the third derivative of f**8/50400 - f**6/1800 - f**5/10 - 13*f**2. Let g(s) be the third derivative of w(s). Determine b, given that g(b) = 0.
-1, 1
Let p be -13 - (-1853)/51 - 22. Factor 14/9*m - p - 2/9*m**2.
-2*(m - 6)*(m - 1)/9
Factor 1/3*x**2 + 16/3*x - 1/3*x**3 - 16/3.
-(x - 4)*(x - 1)*(x + 4)/3
Let r be 0/((-27)/(-3) + -6). Factor 2/5*u + 9/5*u**3 - 11/5*u**2 + r.
u*(u - 1)*(9*u - 2)/5
Find v such that 16*v**4 - 650*v - 212*v**3 - 269*v**2 + 18*v**4 - 2*v**5 + 849*v**2 + 250 = 0.
1, 5
Find n, given that -363 + 0*n**2 - 26*n - 3*n**2 - 29*n - 2*n - 9*n = 0.
-11
Let k = -31 - -36. Let t(b) be the second derivative of 0*b**2 + 1/4*b**4 + 0 - 1/2*b**3 - 1/10*b**6 + 3/20*b**5 - k*b. Let t(g) = 0. Calculate g.
-1, 0, 1
Suppose 3*n - 27 = 9. Let d be ((-20)/(-12))/(10/n). Find v such that 2/11 - 4/11*v + 2/11*v**d = 0.
1
Let k(g) be the second derivative of -g**6/50 + 9*g**5/100 + 13*g**4/20 - 3*g**3/2 + 265*g. Factor k(l).
-3*l*(l - 5)*(l - 1)*(l + 3)/5
Let v(s) = -s**5 + 24*s**4 + 61*s**3 + 52*s**2 - 2*s. Let m(i) = 3*i**5 - 24*i**4 - 60*i**3 - 51*i**2 + 3*i. Let b(n) = 2*m(n) + 3*v(n). Factor b(z).
3*z**2*(z + 2)*(z + 3)**2
Solve -24 + 2/3*o**2 - 32/3*o = 0 for o.
-2, 18
Suppose -12*u + 71 = -217. Let z(q) be the first derivative of 6 + 21/2*q**4 + 9/5*q**5 + 12*q + u*q**2 + 23*q**3. Find a, given that z(a) = 0.
-2, -1, -2/3
Let l = 10865 + -43879/4. Let x = l + 105. Solve 0 - x*p**3 + 1/4*p + 0*p**2 = 0.
-1, 0, 1
Let x = 2 + 0. Let y = -30 + 39. What is z in -y - 43*z**x - 2*z**4 + 6*z**5 - 36*z**3 + 5*z**4 - 23*z**2 - 42*z = 0?
-1, -1/2, 3
Let g(q) = q**2 - q - 4. Suppose 2*x - 3 = 3. Let o be g(x). Factor 3*i**2 + 3*i**3 - 4 + i**o + i**2 + 2*i**2.
(i + 1)*(i + 2)*(3*i - 2)
Factor -2809/7 - 107/7*m**2 + 2915/7*m + 1/7*m**3.
(m - 53)**2*(m - 1)/7
Suppose 29*k - 115 + 57 = 0. Suppose 4/3*a + 0 - 4/9*a**k = 0. What is a?
0, 3
Let w(i) = -i**2 + 6*i + 45. Let a be w(-4). Let m(q) be the third derivative of 0 - 1/540*q**6 + 0*q**a + 0*q + 8*q**2 + 2/27*q**3 + 1/36*q**4. Factor m(k).
-2*(k - 2)*(k + 1)**2/9
Determine j, given that 62*j**2 + 444 + 46*j**2 + 216*j - 111*j**2 = 0.
-2, 74
Let j(p) = 184*p**2 - 296*p + 129. Let z(f) = 183*f**2 - 297*f + 128. Let o(k) = 3*j(k) - 4*z(k). Suppose o(t) = 0. Calculate t.
5/6
Suppose -76*t - 70 = -86*t. Let k(n) be the first derivative of -1/2*n**4 + t - 2/3*n**3 + 2*n + n**2. Suppose k(h) = 0. What is h?
-1, 1
Let p be (-1920)/(-448)*7/9. Solve -p*i**2 + 4/3*i + 0 = 0.
0, 2/5
Let f be ((-8)/(-10))/(3/90). Let h be 3/f - 21/(-24). Factor -5*i - h - 9*i**2 - 2 + 3*i**3 + 14*i.
3*(i - 1)**3
Let a(r) be the second derivative of r**5/40 - 2*r**4/3 - 4*r - 1. Determine q, given that a(q) = 0.
0, 16
What is k in 239*k - 89*k + 7*k**2 - 1125 + 0*k**2 - 12*k**2 = 0?
15
Solve -24*j**3 - 3*j**4 + 778*j - 750*j - 4*j**3 + 4*j**2 - j**4 = 0.
-7, -1, 0, 1
Let o(c) = c - 5. Let t be o(7). Factor 3*r**t - 43*r**4 + 30*r**4 + 9*r**3 + 3*r**5 + 22*r**4.
3*r**2*(r + 1)**3
Let d(s) be the third derivative of 1/2*s**4 + 4/3*s**3 + 0 - 1/30*s**6 + 0*s**5 + 0*s + 4*s**2. Find r, given that d(r) = 0.
-1, 2
Let a(h) be the second derivative of 1/3*h**4 + 0 - 6*h - 1/3*h**3 - 2*h**2 + 1/10*h**5. Factor a(t).
2*(t - 1)*(t + 1)*(t + 2)
Let w(k) = 6*k**2 + 34*k - 148. Let j(d) = -13*d**2 - 67*d + 300. Let x(l) = -4*j(l) - 9*w(l). Factor x(v).
-2*(v - 3)*(v + 22)
Let n(c) = -3*c + 27. Let l be n(9). Let h(r) be the first derivative of 1/15*r**6 - 4/25*r**5 + 0*r**4 + l*r + 4/15*r**3 - 1/5*r**2 - 2. What is j in h(j) = 0?
-1, 0, 1
Let o(q) = 10*q**3 + 3*q**2 - 2*q. Let i(g) = -10*g**3 - 2*g**2 + 2*g. Suppose -5*s = -10 - 5. Let h(v) = s*o(v) + 4*i(v). Factor h(x).
-x*(2*x - 1)*(5*x + 2)
Let q(p) be the third derivative of -p**8/20160 + p**7/2520 - p**5/90 - 13*p**4/24 + 27*p**2. Let i(s) be the second derivative of q(s). Factor i(g).
-(g - 2)**2*(g + 1)/3
Let m be (-64)/1*((-2)/(-4) - 1). Solve -18*c + 16*c**3 - 4*c**5 - 2*c**4 + 24*c**2 - 8*c**2 - 14*c + 2*c**5 - m = 0 for c.
-2, -1, 2
Let b be (-76)/(-10) - 2/(-5). Let i = -6 + b. Factor -y**2 + 2*y - y**2 + 3*y**i - 4*y**2 + y**4.
y*(y - 1)**2*(y + 2)
Let t(c) be the second derivative of -c**5/120 + 7*c**4/36 + 5*c**3/12 + 13*c + 3. Factor t(j).
-j*(j - 15)*(j + 1)/6
Find h such that -24/5*h**2 - 72/5 - 4/5*h**3 + 20*h = 0.
-9, 1, 2
Find s such that -22*s**2 - s**4 - 31*s**2 + 40*s - 16 + 13*s**2 - s**4 + 4*s**2 + 14*s**3 = 0.
1, 2
Let a = -60 + 62. Let d(z) be the second derivative of -1/100*z**5 - 4*z + 0 + 0*z**a - 1/30*z**3 + 1/30*z**4. Factor d(l).
-l*(l - 1)**2/5
Suppose -12*b + 175 = -5*b. Find s, given that -18 - b*s + 28 + 20*s**2 - 6*s**3 + 0*s**3 + s**3 = 0.
1, 2
Factor -40/3 - 15*r - 5/3*r**2.
-5*(r + 1)*(r + 8)/3
Let c(w) be the second derivative of -w**7/2520 + w**6/1080 + w**5/180 - w**3/6 + 7*w. Let o(d) be the second derivative of c(d). Let o(s) = 0. Calculate s.
-1, 0, 2
Let n(k) = -10*k**2 + 20*k. Let t(b) = -9*b**2 + 19*b. Let f(a) = -4*n(a) + 5*t(a). Factor f(j).
-5*j*(j - 3)
Let p = 10845/4 - 2657. Let x = p - 54. Determine h so that x*h**3 + 0 + 1/2*h**2 + 1/4*h = 0.
-1, 0
Let a(o) = 16*o**2 + 10*o - 6. Let l(d) = 3*d - 5 + 2 + 5*d**2 + 1. Let z(s) = -3*a(s) + 10*l(s). Solve z(j) = 0 for j.
-1, 1
Determine q, given that 381 - 4*q**2 - 310 + 497 + 292 + 856*q + 0*q**2 = 0.
-1, 215
Let -4/5*u**5 - 8*u**4 + 68/5*u + 32/5 - 64/5*u**3 + 8/5*u**2 = 0. What is u?
-8, -1, 1
Factor 2/3*t**2 - 64/3 - 28/3*t.
2*(t - 16)*(t + 2)/3
Let i(h) be the second derivative of 1/6*h**3 - 7/24*h**4 + 0 + 1/10*h**5 + 1/4*h**2 - 13*h. Factor i(n).
(n - 1)**2*(4*n + 1)/2
Let q(c) = c**3 - 7*c**2 + 2*c + 30. Let k be q(6). Determine u, given that -18*u - 7 - k*u - u**2 - 137 = 0.
-12
Let j(v) be the third derivative of v**5/12 - 65*v**4/6 + 1690*v**3/3 - 133*v**2. Determine y so that j(y) = 0.
26
Let 0*l + 0 + 0*l**2 + 1/7*l**5 + 2*l**4 + 0*l**3 = 0. Calculate l.
-14, 0
Let f = -8 - -9. Let a be 4 + ((-3)/f - -1). Factor -4*i**a + 3*i**4 - 6*i**5 + 0*i**2 + 3*i**5 + 2*i**5.
-i**2*(i - 2)**2*(i + 1)
Let k(o) be the first derivative of 80*o**3