/5
Let b = -116666/27 - -4321. Let z(n) be the second derivative of 1/90*n**5 + 0*n**3 - b*n**4 + 8*n + 0*n**2 + 0. Find q, given that z(q) = 0.
0, 2
Determine f so that 8/3*f**2 - 2/9*f**3 + 98/9*f - 40/3 = 0.
-4, 1, 15
Let h = 770499 - 8475479/11. Factor -h - 8/11*o + 2/11*o**2.
2*(o - 5)*(o + 1)/11
Solve -145924 - 222673*k + 162355*k - 4*k**4 - 148984*k**2 - 233058*k - 1536*k**3 = 0 for k.
-191, -1
Determine x so that -26/3*x - 133/3 - 1/3*x**2 = 0.
-19, -7
Let u = -155 + 158. Factor 8 - 5*p**u - p**3 + 0*p**4 + 2*p**4 - 67*p**2 + 57*p**2 + 6*p.
2*(p - 4)*(p - 1)*(p + 1)**2
Let t(l) be the first derivative of l**3/9 + 674*l**2/3 + 454276*l/3 - 4755. Find v such that t(v) = 0.
-674
Let n(q) be the first derivative of q**4/20 + 18*q**3/5 - 151*q - 80. Let r(s) be the first derivative of n(s). Factor r(w).
3*w*(w + 36)/5
Let g be 106/159*1*3/6. Let p(q) be the first derivative of 12 + 1/9*q**3 + g*q**2 - q. Factor p(x).
(x - 1)*(x + 3)/3
Let 690/7*t**2 + 77976/7 + 40356/7*t + 3/7*t**3 = 0. Calculate t.
-114, -2
Let b be ((-2106)/140049)/(1/(-70)). Let 14/19*u**2 - 2/19*u**4 + b*u - 8/19*u**3 + 0 = 0. What is u?
-5, -1, 0, 2
Let s(o) be the second derivative of o**4/6 + 184*o**3/3 - 1536*o**2 - 2*o - 3353. Solve s(p) = 0 for p.
-192, 8
Let o(h) be the second derivative of 1/6*h**3 - 1/20*h**5 - 1/4*h**4 + 3/2*h**2 + 55*h + 0. Factor o(v).
-(v - 1)*(v + 1)*(v + 3)
Suppose -2*j + 5*c = 16, 6*j = j + 2*c + 2. Let t = -10325 + 10325. Factor 1/3*f**j + 0 + t*f.
f**2/3
Let h be ((-1)/(-5))/(2/120*30)*5. Factor 41/2*v**2 + h*v**3 + 5*v + 0.
v*(v + 10)*(4*v + 1)/2
Let v = -388 - -303. Let k be ((-6)/10)/(153/v). Factor -k*i**4 + 4/3*i**2 + 0 + 2/3*i**3 - 8/3*i.
-i*(i - 2)**2*(i + 2)/3
Let k(f) = -480*f - 137280. Let u be k(-286). Factor 4/5*i + u + 14/5*i**2.
2*i*(7*i + 2)/5
Factor 66 - 1/3*i**2 - 7/3*i.
-(i - 11)*(i + 18)/3
Let o(q) = 94*q**3 - 111088*q**2 - 63492*q - 9072. Let t(g) = -95*g**3 + 111085*g**2 + 63493*g + 9072. Let m(r) = -3*o(r) - 4*t(r). What is k in m(k) = 0?
-2/7, 1134
Let t be (818/1227)/((2/(-27))/(10/(-25))). Solve -t*c + 2/5*c**2 + 0 = 0 for c.
0, 9
Let s(w) = -13*w + 74. Let n be s(13). Let p be (6/n)/(13/(-195)). Factor p - 16/19*k - 2/19*k**2.
-2*(k - 1)*(k + 9)/19
Let q(v) = v**2 - 506*v + 2. Let s be q(0). Determine y, given that 0 + 5/6*y**4 - 9/2*y**3 - s*y + 20/3*y**2 = 0.
0, 2/5, 2, 3
Let -2/11*y**2 + 144/11*y - 414/11 = 0. What is y?
3, 69
Let v(o) be the third derivative of -o**8/2016 + o**7/252 - o**6/180 - 2*o**5/45 + 2*o**4/9 - 4*o**3/9 - 1008*o**2. Determine l, given that v(l) = 0.
-2, 1, 2
Let v be (237/2)/((-2)/(-8)) - 3. Let h = -466 + v. Solve 87/7*w**3 + 291/7*w**2 - 75/7*w**h - 195/7*w**4 - 120/7*w + 12/7 = 0 for w.
-2, 1/5, 1
Let d(l) be the first derivative of -l**4/2 + 7*l**2 - 12*l + 1914. Factor d(y).
-2*(y - 2)*(y - 1)*(y + 3)
Let h = 39 + -127. Let d be ((-22)/7 - -3)/(11/h). Suppose 10/7*z - d*z**2 - 4/7 + 2/7*z**3 = 0. What is z?
1, 2
Let x be (-28)/(-1372)*7*(-56)/(-6). What is i in x*i**2 + 0*i - 2/3*i**4 + 0*i**3 - 2/3 = 0?
-1, 1
Determine d so that 1919/4*d**3 + 3120*d + 1/4*d**5 + 1521 + 83/4*d**4 + 8233/4*d**2 = 0.
-39, -2, -1
Suppose 2*t + 45 = -3*v, 2*t - 2*v + 9542 - 9582 = 0. Determine j so that 3/2 + 1/4*j**4 + 21/4*j**2 + 19/4*j + 9/4*j**t = 0.
-6, -1
Let c(z) be the second derivative of 5*z**4/6 + 1655*z**3/2 + 1240*z**2 + 45*z + 9. Factor c(y).
5*(y + 496)*(2*y + 1)
Let z(l) be the third derivative of l**11/83160 - l**9/7560 + l**7/1260 - 11*l**5/5 - 2*l**2 - 130*l. Let n(d) be the third derivative of z(d). Factor n(u).
4*u*(u - 1)**2*(u + 1)**2
Find v such that -12168/5*v**2 + 0*v**3 + 9253764/5 + 4/5*v**4 + 0*v = 0.
-39, 39
Determine p so that 0 - 69/2*p**3 - 15*p**4 + 864*p + 3/2*p**5 + 360*p**2 = 0.
-3, 0, 8
Determine f, given that -618 - 3/5*f**2 - 1551/5*f = 0.
-515, -2
Let w = 281/1030 - 15/206. Let k(i) be the second derivative of -1/60*i**4 + 2/5*i**2 + 25*i + 0 + w*i**3 - 3/200*i**5. Factor k(m).
-(m - 2)*(m + 2)*(3*m + 2)/10
Suppose 54 = 4*v + 2*b, 15 = 3*v - v + 5*b. Factor 28 + 5*z**2 - 110 + v - 3 + 25*z.
5*(z - 2)*(z + 7)
Let c(j) = -113*j**3 - 337*j**2 - 106*j - 8. Suppose -w = 132 - 137. Let v(x) = -75*x**3 - 225*x**2 - 70*x - 5. Let g(f) = w*c(f) - 8*v(f). Factor g(l).
5*l*(l + 3)*(7*l + 2)
Factor 346/5*m + 0 + 2/5*m**2.
2*m*(m + 173)/5
Let q be (1 + 343/(-84))/((-14)/(-4)). Let k = q + 2201/210. Factor k - 6/5*m**5 - 168/5*m + 48/5*m**4 + 228/5*m**2 - 30*m**3.
-6*(m - 2)**3*(m - 1)**2/5
Let q(s) be the second derivative of -s**4/6 - 28*s**3/3 - 192*s**2 + 328*s. Let q(d) = 0. Calculate d.
-16, -12
Let l(q) = -13*q + 193. Let o be l(15). Let a be 0 + (o - 1) - -5. Find u, given that 0 - 2/9*u - 4/9*u**3 + u**a = 0.
0, 1/4, 2
Let y(t) = 195*t - 4483. Let j be y(23). Let i(n) be the first derivative of -23*n**j - 2/5*n**5 - 39 - 5/2*n**4 + 14*n**3 + 16*n. Let i(v) = 0. What is v?
-8, 1
Let c(z) be the second derivative of z**4/2 - 496*z**3/3 + 165*z**2 + 6399*z. Factor c(j).
2*(j - 165)*(3*j - 1)
Let w(j) be the third derivative of 23*j**2 + 1/100*j**6 + 0*j + 1/525*j**7 - 1/20*j**4 + 1/150*j**5 + 0 - 2/15*j**3. What is q in w(q) = 0?
-2, -1, 1
Let f(x) be the third derivative of 0 + 0*x + 1/10*x**5 + 68*x**2 - 5/3*x**4 + 4*x**3 - 1/105*x**7 + 1/10*x**6. Factor f(a).
-2*(a - 6)*(a - 1)**2*(a + 2)
Suppose 0 = -2*h - 10, -2445*d = -2448*d + 5*h + 37. Determine y so that -y**2 - d - 20/3*y = 0.
-6, -2/3
Let t be -20 + 29 - 18 - (-1 - 10). Find j such that 12 - 4/5*j**t + 56/5*j = 0.
-1, 15
Let n(h) be the third derivative of -h**6/600 + 379*h**5/100 - 107541*h**4/40 - 323761*h**3/30 + 5739*h**2. Factor n(z).
-(z - 569)**2*(z + 1)/5
Let l = 323 - 321. Factor -13*k**l - 5 + 118*k + 19*k**2 - 13 - 22.
2*(k + 20)*(3*k - 1)
Let d(q) be the third derivative of q**9/2520 - q**8/640 - q**7/840 - 13*q**4/8 - 114*q**2. Let z(x) be the second derivative of d(x). What is j in z(j) = 0?
-1/4, 0, 2
Let j be -2 + 7 + 1 + 15*1/(27/(-4)). What is v in -j*v**3 + 98/9*v + 2/9*v**4 + 68/9 - 2/3*v**2 = 0?
-1, 2, 17
Let v(u) = u - 2. Let s(l) = 33*l - 146. Let n(b) = -s(b) - 6*v(b). Let z be n(4). Factor -3/4*j**z + 3/4*j + 0.
-3*j*(j - 1)/4
Suppose 5*l = 22 - 2. Let b be (-42 + l/1)/(-1). Factor -92*n**2 - 13 + 170*n + b + 11*n**4 + 69*n**4 + 257*n**2 - 440*n**3.
5*(n - 5)*(n - 1)*(4*n + 1)**2
Suppose 2*x = -5*j, -3*x - 7*x + 8*x = j + 3*j. Suppose 1/2*q**4 + j + 0*q - 1/2*q**2 + 0*q**3 = 0. What is q?
-1, 0, 1
Solve -34/5*k + 36 - 114/5*k**2 - 2/5*k**4 - 6*k**3 = 0.
-9, -5, -2, 1
Let t = 841 - 835. Suppose -2*k = -t*x + 24, 11*k - 5*x = 7*k - 20. Find r such that -1/6*r**3 + 1/6*r + 0*r**2 + k = 0.
-1, 0, 1
Let f(n) = 22*n**2 + 426*n + 155. Let p be f(-19). Let l(g) be the second derivative of 0*g**2 - 1/4*g**4 - 12*g + 11/2*g**p + 0. Factor l(j).
-3*j*(j - 11)
Let q(y) be the first derivative of -y**3/6 + 957*y**2/4 - 478*y + 3763. Suppose q(f) = 0. What is f?
1, 956
Let v be (3 + (-75)/21)/((-2)/119). Let w be 7/2*(3 - v/14). Factor 5*u + w*u**2 + 36 + 2*u**2 - 65*u + 36*u.
4*(u - 3)**2
Let o(f) be the second derivative of -7*f**4/54 - 2*f**3/9 + 5793*f. Find r, given that o(r) = 0.
-6/7, 0
Let k(j) = 80*j + 33 + 130*j - 10*j**2 - 30*j + 157. Let p(c) = 5*c**2 - 90*c - 95. Let t(h) = -3*k(h) - 5*p(h). Factor t(g).
5*(g - 19)*(g + 1)
Let a be (-48)/(-112) + 417/7. Factor 35*q**3 - q**3 - a*q - 13*q**3 + 4*q**3 + 20*q**2.
5*q*(q + 2)*(5*q - 6)
Let s(i) be the third derivative of -i**10/378000 + i**9/16800 + i**8/5040 - 17*i**5/20 + 5*i**2 + 5. Let n(m) be the third derivative of s(m). Factor n(b).
-2*b**2*(b - 10)*(b + 1)/5
Suppose -3*j + 14 = l, 5*j - 14 = 163*l - 160*l. Let a(s) be the second derivative of 0 + 12*s + 1/2*s**l + 13/12*s**3 + 11/24*s**4. Factor a(o).
(o + 1)*(11*o + 2)/2
Suppose 5*x + 161 - 136 = 0. Let i(f) = -6*f**2 - 84*f + 75. Let d(u) = 20*u**2 + 252*u - 224. Let l(c) = x*d(c) - 16*i(c). Factor l(k).
-4*(k - 20)*(k - 1)
Let l(z) be the third derivative of -z**8/5600 - z**7/1260 - z**6/900 - z**4/12 + 4*z**3/3 + 62*z**2. Let p(i) be the second derivative of l(i). Factor p(d).
-2*d*(d + 1)*(3*d + 2)/5
Let c(f) = 0*f**4 - 4*f - 5*f - 104 + 105 + 7*f**2 - 8*f**4. Let l(o) = -2*o**4 + 2*o**2 - 2*o. Let t(j) = 2*c(j) - 9*l(j). Factor t(u).
2*(u - 1)**2*(u + 1)**2
Factor -4