 32, -j = -5*n + 18. Factor 808*h**j + 1200 - 400*h**2 - 405*h**2 - 120*h.
3*(h - 20)**2
Suppose -4*o + 19 = -0*o - 5*i, 3*i - 15 = 0. Let d = 13 - o. Factor 35 - 105*j + 14*j**2 + 16*j**2 - 5*j**3 + 55 + 10*j**d.
-5*(j - 3)**2*(j - 2)
Let v(g) be the first derivative of 4*g**5/5 - 23*g**4 + 568*g**3/3 - 240*g**2 - 366. Factor v(k).
4*k*(k - 12)*(k - 10)*(k - 1)
Let o(p) be the first derivative of p**6/180 - p**5/24 + 292*p - 193. Let u(s) be the first derivative of o(s). Let u(q) = 0. What is q?
0, 5
Factor 3636/7*a + 2/7*a**2 + 1652562/7.
2*(a + 909)**2/7
Suppose 173*r - 2577272 = -232*r + 70*r + 271233. Factor -14326*j**2 + r*j**3 - 2420*j**4 + 1331/5*j**5 + 11492*j - 17576/5.
(j - 1)**2*(11*j - 26)**3/5
Let x(t) be the third derivative of 0*t - 1/350*t**7 + 1/40*t**6 + t**2 + 7/40*t**4 + 0 - 1/5*t**3 - 9/100*t**5. Factor x(h).
-3*(h - 2)*(h - 1)**3/5
Let z = -400161 + 400166. What is v in 0 - 2/5*v**z - 2/5*v**4 + 2/5*v**2 + 2/5*v**3 + 0*v = 0?
-1, 0, 1
Let l(g) be the first derivative of -4*g**5/5 - 15*g**4 + 68*g**3/3 + 30*g**2 - 64*g - 68. Find o such that l(o) = 0.
-16, -1, 1
Let 2/3*i**3 + 80/3 - 44/3*i - 38/3*i**2 = 0. What is i?
-2, 1, 20
Let f be (-1 - 5/(-3))/(-50*69/(-20700)). Let l(w) be the second derivative of 20/3*w**3 + 0 - 5/12*w**f - 40*w - 40*w**2. Suppose l(k) = 0. Calculate k.
4
Suppose 0 = 5*z - 7*z + 5*m - 45, -4*z + 2*m = 18. Factor 3/7*g**2 + z - 33/7*g.
3*g*(g - 11)/7
Let x(a) be the second derivative of a**6/50 - 9*a**5/50 + 3*a**4/20 + a**3 + 900*a. Factor x(o).
3*o*(o - 5)*(o - 2)*(o + 1)/5
Factor 162*b**2 - 1/3*b**3 + 488/3 + 325*b.
-(b - 488)*(b + 1)**2/3
Let m(r) be the first derivative of -r**4/16 + 2*r**3/3 + r**2/8 - 2*r + 100. Factor m(f).
-(f - 8)*(f - 1)*(f + 1)/4
Let o = 20860 + -20858. Let r = -4 + 7. Factor -2*j**o + 8/3*j - 8/3*j**r + 2.
-2*(j - 1)*(j + 1)*(4*j + 3)/3
Let k be (376/(-20))/((16/20)/(-4)). Let k*g**2 - 34*g**2 - 16*g**3 + 0*g**3 - 12 - 32*g = 0. What is g?
-1/4, 1, 3
Factor 476*h - 67*h**3 + 134 - 3*h**2 - 1028*h + 336*h + h**4 + 415*h.
(h - 67)*(h - 2)*(h + 1)**2
Let w be ((-6)/65)/(944/(-15340)). Find j such that 12 - 27*j - w*j**4 + 0*j**3 + 33/2*j**2 = 0.
-4, 1, 2
Let f be (26/(-13))/((-2)/(-8)*-2). Let x(v) be the second derivative of -11*v + 3/5*v**5 + 2/3*v**3 + v**f + 0*v**2 + 2/15*v**6 + 0. Factor x(k).
4*k*(k + 1)**3
Let i(m) be the first derivative of 2*m**5/35 - 3*m**4/7 - 46*m**3/21 + 60*m**2/7 - 64*m/7 - 3491. Find g such that i(g) = 0.
-4, 1, 8
Let x(u) be the first derivative of -3*u**4/4 - 99*u**3 - 435*u**2 - 576*u - 5256. Suppose x(l) = 0. Calculate l.
-96, -2, -1
Let y = -29/2470 - -3109/12350. Suppose 0*m - 2*m = 0. Determine n so that 2/25*n**2 + 0*n - y*n**4 - 4/25*n**3 + m = 0.
-1, 0, 1/3
Let n(w) = w**2 - 2*w + 1. Let y be 54/9*(2/(-4) - 0). Let k(b) = b**3 - 8*b**2 + 16*b + 1. Let s(i) = y*k(i) + 3*n(i). What is j in s(j) = 0?
0, 3, 6
Let n(u) be the first derivative of 2*u**6/3 - 104*u**5/5 + 23*u**4 + 200*u**3/3 + 2017. Find f such that n(f) = 0.
-1, 0, 2, 25
Let k(r) be the second derivative of r**7/112 - 3*r**6/16 - 3*r**5/40 + 15*r**4/8 - 275*r + 9. Determine x, given that k(x) = 0.
-2, 0, 2, 15
Let c = -6965149/432509 - 145/5617. Let n = 190/11 + c. Factor -n*g**2 + 2/7*g**3 - 4/7 + 10/7*g.
2*(g - 2)*(g - 1)**2/7
Let q(k) be the first derivative of -3*k**5/5 - 3*k**4/14 + k**3 + 3*k**2/7 - 751. Solve q(c) = 0.
-1, -2/7, 0, 1
Factor -24*g**2 + 39*g**2 - 385*g + 65*g**2 + 216 + 274 - 5*g**3.
-5*(g - 7)**2*(g - 2)
Let c(d) be the second derivative of 0*d**3 - d**4 + 9/20*d**5 - 1/28*d**7 + 40*d + 0*d**2 + 3/20*d**6 + 0. Find h such that c(h) = 0.
-2, 0, 1, 4
Let b(z) = 2*z**2 + 2322*z + 12. Let a(l) = -9*l**2 - 9289*l - 44. Let o(n) = 3*a(n) + 11*b(n). What is t in o(t) = 0?
-465, 0
Let v be (-3 + (-22)/(-8))/(9/(-216)) + -2. Let s(j) be the second derivative of v*j**2 + 1/20*j**5 + 0 + 2*j**3 + 1/2*j**4 - j. Let s(l) = 0. Calculate l.
-2
Factor -23/5*s**4 - 272/5*s**2 + 1024/5 - 896/5*s + 1/5*s**5 + 166/5*s**3.
(s - 8)**3*(s - 1)*(s + 2)/5
Let t(n) be the third derivative of n**9/141120 + n**8/9408 - 3*n**7/980 + 67*n**5/12 - 7*n**2 - 2*n. Let a(s) be the third derivative of t(s). Factor a(k).
3*k*(k - 4)*(k + 9)/7
Let q(o) be the first derivative of -4/21*o**3 + 72 - 124/7*o + 64/7*o**2. Factor q(u).
-4*(u - 31)*(u - 1)/7
Find p such that -187489 - 433*p - 1/4*p**2 = 0.
-866
Let z(m) be the second derivative of -5 - 2/3*m**4 + 1/10*m**5 + 0*m**2 + 0*m**3 + 12*m. Suppose z(t) = 0. What is t?
0, 4
Solve 108*o**2 + 232 - 9*o - 844 + 207*o - 106*o**2 = 0.
-102, 3
Suppose 5*o - 13 - 22 = 3*i, -2*i - 14 = -o. Find p, given that 0*p**2 + o*p**2 - 7*p**2 - 80*p**3 - 2*p + 79*p**3 = 0.
-2, -1, 0
Let a(h) be the second derivative of -2*h**4/3 - h**3/3 - 3*h**2 - 6*h. Let w(s) = -18*s**2 - 5*s - 13. Let k(i) = -13*a(i) + 6*w(i). Factor k(z).
-4*z*(z + 1)
Factor 3*r**3 + 488*r - 231 - 400*r + 15*r**2 - 307*r.
3*(r - 7)*(r + 1)*(r + 11)
Solve -29/2 - 1/4*h**2 + 31/4*h = 0 for h.
2, 29
Let r(f) be the third derivative of f**5/100 - 1397*f**4/40 - 699*f**3/5 - 7*f**2 + 8*f + 1. Factor r(s).
3*(s - 1398)*(s + 1)/5
Let t(v) be the second derivative of -2*v**7/21 + 8*v**6/3 + 233*v**5/5 + 776*v**4/3 + 2056*v**3/3 + 928*v**2 - 3040*v. Determine y, given that t(y) = 0.
-4, -2, -1, 29
Let a be (16/(-896))/(135/(-1080)). Determine c, given that 3/7*c - a*c**4 - 3/7*c**3 + 11/7*c**2 - 10/7 = 0.
-5, -1, 1, 2
Solve -4223*v + 16848 - 10*v**3 + 164*v**2 + 32*v**2 - 7*v**3 + 13*v**3 + 1055*v = 0.
13, 18
Factor 41 - x**2 - 188*x + 58*x**3 - 6*x**2 - 25*x**2 - 53*x**3 + 39.
(x - 10)*(x + 4)*(5*x - 2)
Let f(n) be the third derivative of -n**6/72 + 5*n**4/24 + 103*n**3/6 + 122*n**2. Let i(j) be the first derivative of f(j). Find l such that i(l) = 0.
-1, 1
Suppose 26*a = -7*a + 66. Suppose 0 = -2*z + 5*z - 3*b - 12, -2*z + 2 = b. Factor -2*i - 6*i + 16*i**a - 27*i**z + 15*i**2.
4*i*(i - 2)
Suppose 654*a = -656*a + 1324*a. Let m(f) be the first derivative of 0*f**2 - 3/4*f**4 - 4/3*f**3 + 7 + a*f + 1/5*f**5. Factor m(t).
t**2*(t - 4)*(t + 1)
Let r(t) be the third derivative of -t**5/6 - 232*t**4/3 + 124*t**3 - 176*t**2 - 3*t. Solve r(f) = 0 for f.
-186, 2/5
Let a be 44/(-594) + 1719/243. Let k(v) be the third derivative of 0*v**3 + 0 + 1/630*v**a - 26*v**2 + 1/36*v**4 + 1/90*v**6 + 1/36*v**5 + 0*v. Factor k(g).
g*(g + 1)**2*(g + 2)/3
Factor -1/3 + 1/3*u**2 - 8/9*u.
(u - 3)*(3*u + 1)/9
Suppose 0*s = 5*i - 5*s - 615, -i - s + 127 = 0. Suppose 11*r = i - 92. Factor 3/4*a**2 + 3/8*a**r + 0*a + 0.
3*a**2*(a + 2)/8
Suppose 182408/13 + 1208/13*i + 2/13*i**2 = 0. Calculate i.
-302
Let m = -262/39 - -47768/7215. Let d = m - -11/37. Factor 2/5*w - d - 1/5*w**2.
-(w - 1)**2/5
Let r(l) be the second derivative of l**7/315 + 2*l**6/45 + 9*l**5/50 + l**4/45 - 8*l**3/9 - 3999*l. Find n such that r(n) = 0.
-5, -4, -2, 0, 1
Let n(a) be the second derivative of -a**5/120 + a**3/12 - 44*a**2 + 87*a. Let u(y) be the first derivative of n(y). Let u(z) = 0. What is z?
-1, 1
Let z be (-13 - -2) + -3 + 5. Let y be (-68)/(-51)*z/(-4). Let 6/7*g**4 + 2/7*g**5 - 22/7*g**2 - 8/7 - 2/7*g**y - 24/7*g = 0. What is g?
-2, -1, 2
Let a be 6 + (-5 + 11)*20/(-30). Let w(n) be the second derivative of 1/9*n**4 + 1/120*n**5 + 0 + 0*n**a + 4/9*n**3 + 14*n. What is d in w(d) = 0?
-4, 0
What is x in 210*x + 1800/7 + 447/7*x**2 + 3/7*x**4 + 60/7*x**3 = 0?
-6, -5, -4
Let z(v) = 21*v**4 + 2*v**3 + v**2 + 31*v + 22. Let l(u) = -4*u**4 - 6*u - 4. Suppose 84 = -16*a + 37*a. Let o(n) = a*z(n) + 22*l(n). Factor o(b).
-4*b*(b - 2)*(b - 1)*(b + 1)
Let o = 3101 - 889983/287. Let u = 319/2296 - o. Find b, given that -1/2*b**2 + 0 + 1/2*b**4 + 1/8*b**3 - u*b**5 + 0*b = 0.
-1, 0, 1, 4
Let -5*a**3 - 8 + 712*a + 35*a**2 + 8 + 365*a - 587*a = 0. Calculate a.
-7, 0, 14
Let h be -12 - 98/25*-5 - 2/(-5). Let y(t) be the first derivative of 2/3*t**3 + h + 0*t + 1/2*t**4 - 2*t**2. Suppose y(g) = 0. Calculate g.
-2, 0, 1
Let 1172/17*c + 2/17*c**2 + 171698/17 = 0. Calculate c.
-293
Let w = -7 - -13. Suppose w = 3*o - o. Factor o*m + 4*m**3 - 12*m**4 - 7 - 8 - 7*m**5 + 13 + 14*m**2.
-(m - 1)*(m + 1)**3*(7*m - 2)
Suppose -11485*z + 11844*z = 0. Suppose 30/17*p + 40/17*p**2 - 2/17*p**5 + 20/17*p**3 + z*p**4 + 8/17 = 0. Calculate p.
-1, 4
Let 8*j**5