*2 = 0.
-3/4, 0
Determine c so that -2/11*c**2 + 0 + 724/11*c = 0.
0, 362
Let h = -715/333 - -826/333. Factor 4/9*f**3 - 1/9 + 4/9*f**4 - 4/9*f - h*f**2.
(f - 1)*(f + 1)*(2*f + 1)**2/9
Let u(l) be the first derivative of l**5/12 + 35*l**4/24 + 10*l**3 + 20*l**2 + 50. Let f(w) be the second derivative of u(w). Let f(b) = 0. Calculate b.
-4, -3
Suppose 3*g = 2*i + 23 - 2, -5*i - 15 = 0. Suppose g*q + 3*t - 240 = -74, 2*t - 4 = 0. What is x in -5*x**2 - 4*x**2 - 11*x**2 - q*x - 16 - 2*x**3 - 2*x**3 = 0?
-2, -1
Let z(w) be the second derivative of -w**4/126 - 46*w**3/7 - 59*w**2/3 + 8573*w. Determine u, given that z(u) = 0.
-413, -1
Let q(w) = -18*w**2 + 294*w - 585. Let i(r) = 17*r**2 - 292*r + 588. Let z(x) = 3*i(x) + 4*q(x). Factor z(b).
-3*(b - 12)*(7*b - 16)
Let q(l) be the second derivative of -l**7/1260 + 7*l**6/360 - 101*l**4/12 - 74*l. Let m(a) be the third derivative of q(a). Factor m(k).
-2*k*(k - 7)
Let l(b) = 5*b - 5. Let i(p) = 3*p**3 + p**2 + p - 5. Let s(h) = 4*h**3 + h**2 - 5. Let q(y) = -5*i(y) + 4*s(y). Let f(x) = -4*l(x) - 5*q(x). Factor f(k).
-5*(k - 1)**2*(k + 1)
Let h(y) be the third derivative of -y**5/510 - 59*y**4/204 + 20*y**3/17 - 993*y**2. Factor h(a).
-2*(a - 1)*(a + 60)/17
Factor -120*b**2 + 156*b**3 + 209*b**3 - 176*b - 4*b**4 - 401*b**3 - 96.
-4*(b + 2)**3*(b + 3)
Let g(h) be the third derivative of h**6/240 + 329*h**5/80 - 371*h**4/24 + 165*h**3/8 + 3975*h**2. Suppose g(v) = 0. Calculate v.
-495, 1/2, 1
Let w(v) be the third derivative of v**7/8820 - v**6/280 - 17*v**4/24 + 61*v**2. Let u(x) be the second derivative of w(x). Factor u(l).
2*l*(l - 9)/7
Let i = 6772574/11 - 615682. Let 70/11*o**2 + 40/11*o + 2/11*o**4 - 40/11*o**3 - i = 0. What is o?
-1, 1, 2, 18
Factor 5370408/5*m + 5256144/5 + 166*m**3 + 115092/5*m**2 + 2/5*m**4.
2*(m + 1)*(m + 138)**3/5
Let f(b) be the first derivative of b**4/14 + 6*b**3/7 - 165*b**2/7 - 3146*b/7 + 2936. What is s in f(s) = 0?
-11, 13
Let b be ((-1747)/39 - -45)*(-1)/(-4)*27. Factor 34/13*p - b*p**2 - 16/13.
-2*(p - 1)*(9*p - 8)/13
Let u(s) be the second derivative of s**6/150 + 9*s**5/100 - s**4/60 - 3*s**3/10 + 2260*s. Solve u(d) = 0.
-9, -1, 0, 1
Find o such that 272/9*o - 536/9 - 2/9*o**2 = 0.
2, 134
Solve 2*s**2 + 10*s**2 + 53*s**3 - 2*s**2 + 382*s**3 = 0.
-2/87, 0
Let c(k) = -k - 18. Let w be c(-14). Let o be w/((-8)/6) - (5 - 4). Factor o*t**5 - 10*t**4 + 3*t**5 + 10*t**2 + 3*t + 2*t - 10*t.
5*t*(t - 1)**3*(t + 1)
Let i = 239 - 235. Suppose 5*t - 2 = -x + 4*t, 5*x + i*t - 8 = 0. Factor 1/4*m**2 - 1 + x*m.
(m - 2)*(m + 2)/4
Suppose 0 = -2*d + 4*d + 2, 3*t - 41 = 4*d - 31. Factor 4/19*c - 2/19*c**4 - 4/19*c**3 + 0*c**t + 2/19.
-2*(c - 1)*(c + 1)**3/19
Let s(f) be the third derivative of f**5/15 + 29*f**4/6 - 880*f**3/3 + 5029*f**2. What is y in s(y) = 0?
-40, 11
Let 10*p**3 - 5*p**4 + 144*p**2 + 153*p**2 - 10*p - 292*p**2 = 0. What is p?
-1, 0, 1, 2
Let k(v) = 2*v**2 - 12*v + 12. Let b be k(5). Solve -1268*a + 145*a**3 - 5*a**5 + 1175*a**b + 268*a - 35*a**4 + 306 - 10306 = 0.
-5, 4
Let j be ((-3)/(-33))/(2/44). Factor 0 - 13/4*k**j + 7/4*k + 5/4*k**3 + 1/4*k**4.
k*(k - 1)**2*(k + 7)/4
Let d(q) be the first derivative of -q**3/3 + 584*q**2 - 1167*q + 4063. Factor d(i).
-(i - 1167)*(i - 1)
Let p(m) be the third derivative of -m**5/510 - 95*m**4/68 + 574*m**3/51 - 1690*m**2. Factor p(o).
-2*(o - 2)*(o + 287)/17
Let y = 48 + -60. Let l be 1/(y/(-76)) - 2/(-3). Let 124*g**4 - 10*g**2 + 9*g + l*g - 40*g**5 - 119*g**3 - 6*g**2 + 35*g**3 = 0. What is g?
-2/5, 0, 1/2, 1, 2
Let 40*z**2 + 3154*z**3 - 205*z**2 - 2776*z**3 - 5 + 5 + 18*z = 0. What is z?
0, 3/14, 2/9
Let p(d) be the third derivative of d**2 + 4/9*d**3 + 0*d - 1/1080*d**6 + 1/540*d**5 + 13/108*d**4 - 66. Factor p(q).
-(q - 6)*(q + 1)*(q + 4)/9
Let -197/2*l**2 - 1/2*l**5 + 0 + 33*l + 195/2*l**3 - 63/2*l**4 = 0. Calculate l.
-66, 0, 1
Let d(f) be the second derivative of -1/150*f**5 + 2 - 1/5*f**2 - 7/45*f**3 - 1/18*f**4 + 37*f. Factor d(n).
-2*(n + 1)**2*(n + 3)/15
Let y be 163/((-65037)/1900)*(-28)/30. Factor -2/9*m + 2/9*m**2 - y.
2*(m - 5)*(m + 4)/9
Let d(f) = 236*f**2 - 928*f - 56620. Let g(q) = -q**3 - 478*q**2 + 1857*q + 113238. Let p(i) = 9*d(i) + 4*g(i). Determine x so that p(x) = 0.
-13, 33
Solve 22*x**3 - 1/5*x**4 - 24336/5 + 3432*x - 3337/5*x**2 = 0 for x.
3, 52
Let w be 0/(-17 + 7 + 11). Let z(n) be the third derivative of 0*n**5 - 1/42*n**7 + 0 - 2*n**2 - 1/12*n**6 + w*n + 0*n**4 + 0*n**3. Factor z(q).
-5*q**3*(q + 2)
Let o(b) be the first derivative of -2/75*b**5 + 22/45*b**3 + 1/3*b**4 + 0*b + 0*b**2 - 61. Solve o(v) = 0.
-1, 0, 11
Suppose -36*v = -33*v. Suppose 5*c + 18 = 2*d + 2*d, 2*d + 2*c = v. Let -23*o**d + 25*o + 16*o**2 + 12*o**2 - 30 = 0. What is o?
-6, 1
Factor 18*d + 30*d**2 + 68 - 338 - 195*d**3 + 193*d**3.
-2*(d - 15)*(d - 3)*(d + 3)
Let w(a) be the first derivative of -2*a**4/3 - 194*a**3/9 - 188*a**2 - 90*a - 14248. Find s, given that w(s) = 0.
-15, -9, -1/4
Let v(k) be the third derivative of -k**6/660 + 7*k**5/15 - 51*k**4/44 - 4810*k**2. Suppose v(w) = 0. Calculate w.
0, 1, 153
Let 8/3 + 19*d**2 - 20/3*d**3 - 15*d = 0. What is d?
1/4, 1, 8/5
Let l(f) = -12*f - 11*f**2 + 29 + 40*f - f**4 + 4820*f**3 - 4845*f**3. Let g(c) = 8*c**3 + 4*c**2 - 10*c - 10. Let r(w) = -14*g(w) - 4*l(w). Factor r(a).
4*(a - 3)*(a - 2)*(a + 1)**2
Let h be (-86)/(-4) + (-6)/4. Let w = 20 - h. Let 9*r**3 - 7*r + w*r**4 + 3*r**2 - 3*r**4 - 3*r**5 + r = 0. What is r?
-2, -1, 0, 1
Let h(n) be the third derivative of 45/8*n**4 - 6*n + 6*n**2 - 9/8*n**6 + 5/6*n**3 - 1/12*n**5 + 0. Factor h(t).
-5*(t - 1)*(t + 1)*(27*t + 1)
Suppose 4*f + v - 100 = -3*v, -5*f + 2*v = -97. Suppose 0 = -f*o + 13*o. What is i in 2/3*i - 2/3*i**3 - 1/3*i**4 + 1/3*i**2 + o = 0?
-2, -1, 0, 1
Suppose -3*n + 19 - 22 = 5*u, n + 1 = -4*u. Factor 0 - 14/9*s**5 + 0*s + u*s**2 - 4/9*s**3 + 2*s**4.
-2*s**3*(s - 1)*(7*s - 2)/9
Factor 47/8*s**3 + 157/2*s + 53 + 153/4*s**2 - 1/8*s**4.
-(s - 53)*(s + 2)**3/8
Determine x so that -344/3*x**2 + 56/3*x + 538/3*x**3 + 8*x**5 - 238/3*x**4 + 0 = 0.
0, 1/4, 2/3, 2, 7
Factor -1/8*s**2 + 251/4*s - 63001/8.
-(s - 251)**2/8
Let y(g) = -2*g - 1. Let i be y(-2). Suppose 3 = i*q - 6. What is k in -k - 4*k**2 - 2*k**2 + 3*k - 3*k**q - 5*k = 0?
-1, 0
Suppose 0 = -3*t - 0 + 6. Let z be (-2)/13 + (-19133)/(-3445) + (-45)/9. Let 13/5*v**3 - z + 17/5*v**t - 3/5*v**4 + 3/5*v - 4/5*v**5 = 0. Calculate v.
-1, 1/4, 2
Factor 119 - 824*k + 19*k**4 + 934*k**2 + 120 + 2*k**5 + 31*k**4 + 17 - 418*k**3.
2*(k - 4)*(k - 1)**3*(k + 32)
Let i(q) be the first derivative of -q**5/30 - 5*q**4/12 - 5*q**2 + 7*q + 100. Let x(o) be the second derivative of i(o). Suppose x(v) = 0. Calculate v.
-5, 0
Suppose -13*t - 124*r = -128*r - 20, -20 = 4*t + 4*r. Factor -2/13*x**5 + 0 + 2/13*x**3 + 2/13*x**4 + t*x - 2/13*x**2.
-2*x**2*(x - 1)**2*(x + 1)/13
Determine s so that 0 + 663/7*s + 3/7*s**3 - 666/7*s**2 = 0.
0, 1, 221
Let s(d) be the first derivative of -d**8/840 + d**7/70 - d**6/20 + d**5/15 + 22*d**3/3 - 59. Let p(v) be the third derivative of s(v). Factor p(x).
-2*x*(x - 4)*(x - 1)**2
Let j(p) be the first derivative of -74/39*p**3 + 20/13*p**2 + 199 + 8/13*p + 1/2*p**4. Determine y, given that j(y) = 0.
-2/13, 1, 2
Suppose 33*c - 190 = 28*c. Let i = 50 - c. What is l in -i*l**2 - 2*l**3 + 8*l + 4*l**4 + 2*l**3 - 2 + 8*l**3 - 6*l**4 = 0?
1
Let x(l) be the second derivative of l**7/84 + 167*l**6/30 + 29833*l**5/40 + 81643*l**4/6 + 316204*l**3/3 + 414736*l**2 - 13162*l. Factor x(t).
(t + 4)**3*(t + 161)**2/2
Let m(v) be the second derivative of v**6/45 - 28*v**5/15 - 65*v**4/2 + 4513*v. Let m(t) = 0. What is t?
-9, 0, 65
Let h(d) be the first derivative of 5*d**6/6 + 4*d**5 + 15*d**4/2 + 20*d**3/3 + 5*d**2/2 - 2234. Determine l, given that h(l) = 0.
-1, 0
Let v(z) be the third derivative of -z**6/720 + 23*z**5/60 - 385*z**4/12 - 2450*z**3/9 - 792*z**2. Suppose v(a) = 0. Calculate a.
-2, 70
Let m be (-1)/6 - 6/(-9). Let u be (-2)/8*12/(-15) + (-4)/20. Factor 0 + u*p**2 - 1/2*p**3 + m*p.
-p*(p - 1)*(p + 1)/2
Suppose -41*t + 44 + 366 = 0. What is o in 2799*o**4 - t*o**2 + 72*o - 2800*o**4 - 11 - 16*o**3 - 34 = 0?
-15, -3, 1
Let w = -898135/3 - -299379. What is h in 2/3*h**2 - w*h**4 + 4/3*h**3 + 0 - 4/3*h = 0?
-1, 0, 1, 2
Factor 960/11*g**2 - 5706/11