 0?
-1, 0, 5
Let k be 44/(-10) - (-96)/240. Let t be (2 + k)*(-16)/72. Factor -2/9*j - 4/9 + 2/9*j**3 + t*j**2.
2*(j - 1)*(j + 1)*(j + 2)/9
Let s be 122*(18/(-5))/(75/250). Let p = 1468 + s. Determine g, given that -125/2*g - 1/2*g**p + 0 - 15/2*g**3 - 75/2*g**2 = 0.
-5, 0
Let x(t) be the second derivative of t**6/150 - 9*t**5/10 + 45*t**4 - 900*t**3 + 41*t. Solve x(y) = 0.
0, 30
What is p in 64/3 + 2/9*p**2 + 1/9*p**3 - 104/9*p = 0?
-12, 2, 8
Let z be ((-130)/(-78) - 1)/(10/9). Determine h so that -z*h**3 + 6/5*h**2 - 3/5*h**4 + 0 + 0*h = 0.
-2, 0, 1
Suppose -150 = -7042*c + 7958*c - 2898. Solve -4*a**2 + 4/7*a**c + 0 + 48/7*a = 0 for a.
0, 3, 4
Factor 2/11*p**2 + 0 - 1032/11*p.
2*p*(p - 516)/11
Let m(d) be the second derivative of 2*d**6/15 - 4*d**5 + 35*d**4 - 60*d**3 - 432*d**2 + 2*d - 1714. Determine y, given that m(y) = 0.
-1, 3, 6, 12
Suppose 3*c = -5*y + 14, 5*y - 26 + 6 = -5*c. Let d = 225270/366067 + 2/366067. Let 6/13*p + 4/13*p**4 - 6/13*p**c + 4/13 - d*p**2 = 0. What is p?
-1, -1/2, 1, 2
Let d(c) be the first derivative of 2*c**5/25 - c**4/2 + 1249. Suppose d(f) = 0. What is f?
0, 5
Factor 24*j**2 - 748*j + 36*j**2 - 188*j + 2*j**3 + 48 + 2976.
2*(j - 6)**2*(j + 42)
Factor -317*o + 91*o - 458*o + 3*o**2 + 1 - 1.
3*o*(o - 228)
Factor 1/2*y**3 + 0 - 72*y - 35*y**2.
y*(y - 72)*(y + 2)/2
Let t be 56/12 + (-6)/9 + 1. Let k = -36 + 38. Factor 7*n**2 + 2*n**3 - t*n**2 - 4*n**k.
2*n**2*(n - 1)
Let w(c) be the third derivative of c**5/60 + 17*c**4/6 + 578*c**3/3 - 38*c**2 + 5*c. Factor w(g).
(g + 34)**2
Suppose 316 = 6*f - 1670. Let -319*j**2 + 39*j + 1 - 9*j**3 + 17 + f*j**2 = 0. Calculate j.
-1, -2/3, 3
Let b(j) be the third derivative of -j**6/900 + 4*j**5/25 - 48*j**4/5 - 4*j**3/3 - 7*j**2 - 11*j. Let r(c) be the first derivative of b(c). Factor r(k).
-2*(k - 24)**2/5
Let f be -1*(4 - 4)/(-4)*-1. Let z be f - (99/(-126) - 4/(-14)). What is m in z*m**2 - 3/2*m + 1 = 0?
1, 2
Let a = -280799/90 + 3120. Let p(c) be the third derivative of -1/540*c**6 + 0*c - a*c**5 + 0 + 0*c**3 + 6*c**2 - 1/54*c**4. Factor p(v).
-2*v*(v + 1)*(v + 2)/9
Let f(h) be the first derivative of -12/7*h - 54 + 3/14*h**2 + 4/7*h**3 - 3/28*h**4. Find c such that f(c) = 0.
-1, 1, 4
Let i be (-1*(-50 - -7))/(22 + 1220/(-60)). Factor -16*n**2 + 13/5*n**3 - 18/5 + i*n.
(n - 3)**2*(13*n - 2)/5
Let u(r) be the second derivative of -r**4/15 + 145*r**3/6 - 181*r**2/10 - 1618*r. Factor u(n).
-(n - 181)*(4*n - 1)/5
Let p(c) be the second derivative of 3*c**5/25 - 2*c**4/15 - 18*c**3/5 + 36*c**2/5 - 2164*c. Solve p(v) = 0 for v.
-3, 2/3, 3
Let z = 498 + -494. Let u be (1024/80)/z - (1 - -1). Determine c, given that 2/5*c**2 + 6/5*c**3 + 2/5*c**4 - 4/5 - u*c = 0.
-2, -1, 1
Let h(f) be the third derivative of 0 + 0*f + 1/735*f**7 + 2/21*f**4 - 1/210*f**6 - 2/105*f**5 + 0*f**3 - 62*f**2. Determine p so that h(p) = 0.
-2, 0, 2
Let q(h) = -4*h**2 + 27*h + 15. Let o be q(7). Suppose -2*i**4 + o*i**3 - 8*i**2 + 48*i - 100*i + 52*i = 0. What is i?
0, 2
Let p be -6 - (10 - ((-6)/(-87) + (-1040)/(-58))). Factor 0*l - 4/5*l**p + 0 - 12/5*l**3.
-4*l**2*(3*l + 1)/5
Let c(u) be the second derivative of 3*u**5/10 - 207*u**4/4 - 317*u**3/2 + 315*u**2 + 1199*u. Determine s so that c(s) = 0.
-2, 1/2, 105
Factor 1814*s - 3618*s + 1822*s + 2*s**2 - 44.
2*(s - 2)*(s + 11)
Let w(s) be the third derivative of -s**6/24 + s**5/6 + 5*s**4/6 - 20*s**3/3 + 25*s**2 - 3*s. Factor w(h).
-5*(h - 2)**2*(h + 2)
Let -1804 - 1708 + 2*l**2 + 268*l - 6*l**2 + 2992 = 0. What is l?
2, 65
Suppose -117*d - 219*d = 26*d. Let w(i) be the third derivative of 22*i**2 + 1 + d*i + 0*i**3 + 1/3*i**5 - 5/24*i**4. Factor w(r).
5*r*(4*r - 1)
Suppose -7*x + 116 = 5*w - 9*x, 5*w - 112 = 4*x. Suppose 0 = -s - 7*s + w. Factor 4/5*p**4 + 4/5*p**2 + 0 + 0*p - 8/5*p**s.
4*p**2*(p - 1)**2/5
Let m(t) be the second derivative of -9*t**5 + 24*t + 405/2*t**2 + 2/3*t**6 + 195/4*t**4 + 1 - 135*t**3. What is n in m(n) = 0?
3/2, 3
Suppose -68*a - 2*a**2 - 21*a**2 + 40973 - 40970 = 0. What is a?
-3, 1/23
Let j(v) be the first derivative of -v**4/4 - 16*v**3/3 - 13*v**2/2 + 30*v + 1280. Suppose j(p) = 0. What is p?
-15, -2, 1
Solve 732/7*x**4 + 22*x + 1028/7*x**2 + 230*x**3 + 4/7 = 0.
-1, -1/6, -2/61
Suppose 212/3*n + 2/3*n**2 + 416/3 = 0. What is n?
-104, -2
Let i(d) be the first derivative of -d**4/4 + 73*d**3 - 324*d**2 + 5455. What is j in i(j) = 0?
0, 3, 216
Let u(s) be the second derivative of -s**4/12 - 8*s**3/3 + 161*s**2/2 + 448*s. Factor u(t).
-(t - 7)*(t + 23)
Let z(l) be the third derivative of 1/240*l**6 + 0*l + 1/6*l**3 + 60*l**2 - 1/420*l**7 + 1/40*l**5 - 5/48*l**4 + 0. Factor z(f).
-(f - 1)**3*(f + 2)/2
Let g(a) be the second derivative of -1/60*a**4 + 1/100*a**5 - 1 - 2*a - 7/10*a**3 + 9/2*a**2. Factor g(c).
(c - 3)**2*(c + 5)/5
Factor -266*s - 155*s + 157*s - 196 + 3*s**3 - 2*s**3 + 27*s**2 + 756.
(s - 4)**2*(s + 35)
Suppose 29*s = 25*s + 20. Suppose -4*y = -20, 0 = s*a - 4*y + 6 - 1. Factor -5*z**a + 3*z + 2*z + 0*z + 5*z**2 - 15*z**2 + 10.
-5*(z - 1)*(z + 1)*(z + 2)
Let f(t) be the first derivative of -t**6/33 + 6*t**5/55 + 61*t**4/22 - 382*t**3/33 + 192*t**2/11 - 128*t/11 + 6454. Determine m, given that f(m) = 0.
-8, 1, 8
Let m(w) be the third derivative of -w**6/120 + 53*w**5/60 + 83*w**4/12 + 56*w**3/3 - 2402*w**2. Suppose m(y) = 0. Calculate y.
-2, -1, 56
Suppose -108 = -7*l - 108. Suppose 0 = h + 1 - 6. Factor 5/2*z**2 + l - h*z.
5*z*(z - 2)/2
Let o(y) = 332*y**2 + 670*y - 20. Let u(s) = 665*s**2 + 1343*s - 46. Let v(r) = 9*o(r) - 4*u(r). Suppose v(t) = 0. Calculate t.
-2, -1/164
Let h(m) = m**3 + 3*m**2 - 2*m - 5. Let x be h(-2). Factor -11295 - 6*o**4 - 27*o**x + 11295 + 15*o**2.
-3*o**2*(o + 5)*(2*o - 1)
Let l = -1430 + 12890/9. Let g(j) be the second derivative of -l*j**3 - 1/9*j**4 - 50/3*j**2 + 0 + 2*j. Let g(s) = 0. Calculate s.
-5
Let u be (20 + 18810/(-1064))/((5/8)/5). Suppose u*c**4 - 34/7*c**2 + 0 + 4/7*c + 50/7*c**5 + 6*c**3 = 0. Calculate c.
-2, -1, 0, 1/5
Factor -88/13*c**2 + 2/13*c**4 + 0 + 0*c + 14/13*c**3.
2*c**2*(c - 4)*(c + 11)/13
Determine o so that 2*o**4 + 3104 - 128*o**2 - 1356 + 224*o - 1268 - 56*o**3 = 0.
-2, 2, 30
Suppose 50*g + 110 = -22 + 282. Factor -4/5*a**g + 0 - 2/5*a**2 + 4/5*a + 2/5*a**4.
2*a*(a - 2)*(a - 1)*(a + 1)/5
Factor -114 - 39 - 3*p**2 - 20 - 71*p + 194*p - 61.
-3*(p - 39)*(p - 2)
Let y(f) = 8*f**2 + 380*f - 1128. Let n(r) = 11*r**2 + 378*r - 1128. Let m(o) = -4*n(o) + 5*y(o). Solve m(h) = 0.
3, 94
Suppose 0 = 10*h - 147 - 123. Factor -35*r + r**2 - 12 - h*r + 100*r - 34*r.
(r - 2)*(r + 6)
Let t(z) be the second derivative of z**4/72 + 403*z**3/36 - 101*z**2/3 - 815*z. Factor t(s).
(s - 1)*(s + 404)/6
Factor 433 + 3*s**5 - 121 + 288*s**3 + 136*s**4 + 545*s**3 + 1674*s**2 - 50*s**3 + 1412*s.
(s + 2)**3*(s + 39)*(3*s + 1)
Suppose 15 = -22*n + 59. Suppose 2*p = g + 4, 0 = -0*g + 2*g - n*p - 2. Let 21/2*r**2 + g + 24*r = 0. Calculate r.
-2, -2/7
Let t(i) be the first derivative of -5/3*i**4 + 5/6*i**3 + i + 10 + 0*i**2. Let v(w) be the first derivative of t(w). Factor v(p).
-5*p*(4*p - 1)
Let j = 929 - 927. What is s in 2801 - 1405 + 3*s - 2*s**3 - 22*s**j + 49*s - 1396 = 0?
-13, 0, 2
Let o = 44 + -4. Let m(j) = 41*j**2 - 70*j**2 + 15*j + 7 + o*j**2. Let u(b) = -5*b**2 - 7*b - 3. Let a(s) = -6*m(s) - 14*u(s). Solve a(z) = 0 for z.
-2, 0
Let x(o) be the second derivative of o**4/12 + 29*o**3/2 + 885*o**2 + 2*o - 79. Let y(r) = -r - 2. Let i(j) = -x(j) - 3*y(j). Factor i(l).
-(l + 42)**2
Let x(w) = -2*w**3 + 4*w**2 + w + 10. Let d(k) = k**3 - 2*k**2 - k - 4. Let i(b) = 5*d(b) + 2*x(b). Let z be i(3). Factor 3 - 3*m + z*m - 2*m + 3*m**2 - m.
3*(m - 1)**2
Let l(q) be the second derivative of 5/18*q**4 + 94*q + 1 + 5/6*q**5 - 28/9*q**3 + 4*q**2 + 1/21*q**7 - 17/45*q**6. Find j, given that l(j) = 0.
-1, 2/3, 1, 2, 3
Factor 1/7*v**2 + 846400/7 + 1840/7*v.
(v + 920)**2/7
Suppose -4*m - 784 + 792 = 0. Factor -4*w**3 + 3*w**3 - 5*w**5 - 3*w**3 + m*w**4 - 12*w**4 - w**3.
-5*w**3*(w + 1)**2
Let n(d) be the second derivative of -d**6/36 + d**5/45 + 5*d**4/36 - 2*d**3/9 - 13*d**2 + 4*d - 1. Let w(x) be the first derivative of n(x). Factor w(f).
-2*(f - 1)*(f + 1)*(5*f - 2)/3
Let u = -933830 - -1867667/2. Find o such that 1/2*o**4 - 3*o**3 - u*o**2 + 0*o + 0 = 0.
-1, 0, 7
Suppose 18 = 3*x - 6.