s(m) be the second derivative of -5*m**7/21 + 37*m**6/45 - 2*m**5/5 - 2*m**4/9 - 2*m - 38. What is x in s(x) = 0?
-1/5, 0, 2/3, 2
Let c = 0 - -2. Suppose 5 - 6 + 6*j + 2*j**c - 3 - 6*j**3 + 2*j**4 = 0. What is j?
-1, 1, 2
Let y(v) = 7*v**2 + 196*v + 5. Let c be y(-28). Let g(p) be the second derivative of -1/24*p**4 + 5/12*p**3 + 13*p + 1/4*p**2 - 1/8*p**c + 0. Factor g(w).
-(w - 1)*(w + 1)*(5*w + 1)/2
What is m in 46/15*m - 2/15*m**2 + 116/5 = 0?
-6, 29
Suppose -2*q = -3*c - 2 - 70, -2*c + 2*q - 46 = 0. Let g = c - -35. Factor a**2 + 6*a + g - 3*a - 4*a + 7*a.
(a + 3)**2
Let y = 21/6154 - -3035/12308. Factor 5/4*t + y*t**3 + 0 + 3/2*t**2.
t*(t + 1)*(t + 5)/4
Let k(w) be the second derivative of w**7/630 + w**6/180 - w**5/15 + 13*w**4/6 + 64*w. Let z(t) be the third derivative of k(t). Factor z(y).
4*(y - 1)*(y + 2)
Let y(x) be the first derivative of x**3/12 + x**2/8 - 105*x - 112. Determine n so that y(n) = 0.
-21, 20
Suppose 0 = -2*x + 2*m + 50, -28*m - 536 - 52 = 0. Find i such that 226/7*i**2 + 8/7*i**5 + 152/7*i + 58/7*i**x + 164/7*i**3 + 40/7 = 0.
-2, -5/4, -1
Factor -720*z**2 + 6648/7*z + 54/7*z**3 - 2208/7.
6*(z - 92)*(3*z - 2)**2/7
Let s be (-3 - 111/(-90)*-7) + 5. Let u = s - -69/10. Factor -2/15*o**3 - u*o + 0 + 2/5*o**2.
-2*o*(o - 2)*(o - 1)/15
Let i be (-3410)/2625 + -4 - 5*-1. Let m = 6/175 - i. Factor m*h - 1/3*h**4 + h**2 - 1/3*h**3 - 2/3.
-(h - 1)**2*(h + 1)*(h + 2)/3
Suppose 0*i - i + 29 = 4*s, -2*i = 3*s - 28. Let u = -1236 + 1238. Factor -48*w**2 - 2*w**5 - s*w**3 + 46*w**u - 11*w**4 + 5*w**4.
-2*w**2*(w + 1)**3
Let k = -14 + 18. Suppose 8*f - 36 = k*f. Factor f*r**5 - 38*r**5 + 16*r**2 - 24*r**3 + 10*r**5 + 15*r**5 - 4*r + 16*r**4.
-4*r*(r - 1)**4
Let j(b) = 6*b**3 + 60*b**2 + 162*b + 96. Let d(p) = 17*p**3 + 180*p**2 + 485*p + 290. Let t(h) = -3*d(h) + 8*j(h). Solve t(l) = 0.
-17, -2, -1
Let r(g) be the first derivative of -g**4/32 + 167*g**3/24 - 7371*g**2/16 + 32805*g/8 - 3980. Let r(m) = 0. What is m?
5, 81
Let i be 20 + -7 - (440/42 - (-2)/(-14)). Determine p so that 2/3*p**3 + i*p**2 - 12 - 2*p = 0.
-3, 2
Let z(n) be the second derivative of 41/12*n**3 + 0*n**2 - 13 + 1/24*n**4 - 5*n. Factor z(g).
g*(g + 41)/2
Suppose d - 5*j = -16, 3*d + 8*j - 28 = 4*j. Suppose d*t - 7*t + 231 = 0. Determine h so that -t*h**2 - 2*h**4 + 77*h**2 + 2*h**5 = 0.
0, 1
Let s = -15/4 + 17/4. Let m be 0/(-10 + (22 - 2) + -13). Find o such that 1/3*o - s*o**2 + m = 0.
0, 2/3
Let f be (4/6)/(16/(-24)). Let m be 14/(-8) + 5 + f/4. Determine l so that 4*l**m + 47 + 2*l**4 - 12*l**2 + 17 - l**4 - 32*l = 0.
-4, 2
Let h(n) be the second derivative of 1/42*n**4 + 0*n**3 - 1/70*n**5 + 0 + 0*n**2 + 61*n. Solve h(u) = 0.
0, 1
Let y(w) be the second derivative of -w**4/18 + 100*w**3/9 - 33*w**2 - 80*w + 2. Factor y(m).
-2*(m - 99)*(m - 1)/3
Suppose 733*v = 734*v. Let r(k) be the third derivative of -1/420*k**5 + v*k - 5*k**2 + 0 - 1/14*k**3 - 1/42*k**4. Factor r(f).
-(f + 1)*(f + 3)/7
Let o be (-1*1/(-14))/((-15)/(-120)). Factor -2/7*w**3 + 2/7*w - o + 4/7*w**2.
-2*(w - 2)*(w - 1)*(w + 1)/7
Suppose -78000 + k**4 + 0*k**4 - 2040*k**2 - 10*k**3 - 9148*k - 1946*k - 38*k**3 - 11306*k = 0. What is k?
-10, 78
Let w(k) be the third derivative of -23/36*k**4 + k**2 - 1/180*k**6 - 7 - 10/9*k**3 - 1/6*k**5 + 1/315*k**7 + 0*k. Factor w(g).
2*(g - 5)*(g + 1)**2*(g + 2)/3
Let b(h) be the second derivative of -2*h**6/15 - 2*h**5/5 + 4*h**4 + 16*h**3/3 - 64*h**2 + 239*h. Factor b(x).
-4*(x - 2)**2*(x + 2)*(x + 4)
Let o(y) be the first derivative of y**6/3 - 494*y**5 + 189725*y**4 + 2291540*y**3/3 + 1148245*y**2 + 766322*y - 5685. Suppose o(r) = 0. What is r?
-1, 619
Let t(d) be the third derivative of d**5/300 + 409*d**4/60 + 167281*d**3/30 - 2*d**2 + 99*d. Factor t(f).
(f + 409)**2/5
Let a = -262 - -153. Let n = a + 155. Factor -n + 5*y**3 - 23*y**2 - 7*y**2 + 6 + 60*y.
5*(y - 2)**3
Let l(i) be the second derivative of -i**6/105 + 71*i**5/35 + 300*i**4/7 + 7328*i**3/21 + 1408*i**2 - 5*i - 362. Factor l(s).
-2*(s - 154)*(s + 4)**3/7
Let j be 17/(-102) - (-1)/(-120). Let k = 9/40 - j. Find l, given that 2/5*l - k*l**2 + 0 = 0.
0, 1
Let v(i) = 0 - 12*i**2 + 79*i + i**3 + 24 - 70*i. Let b be v(11). Suppose 5 - b*a**4 - a - 7*a**4 + 4*a**4 + 11*a - 10*a**3 = 0. Calculate a.
-1, 1
Let g(p) be the second derivative of 1/6*p**4 - 3/80*p**5 + 0*p**2 + 37/6*p**3 + 1/720*p**6 + 35*p + 0. Let r(w) be the second derivative of g(w). Factor r(b).
(b - 8)*(b - 1)/2
Suppose 2*n - 48 = -4*g, -2*n + 511*g + 37 = 514*g. Factor -24/11*w**n + 10/11*w + 4/11.
-2*(3*w - 2)*(4*w + 1)/11
Let f = 161734 + -808668/5. Let 2*o - f*o**2 - 8/5 = 0. Calculate o.
1, 4
Factor -165*j**2 + 181*j**2 + 19056 - 22*j + 2*j**3 - 19092.
2*(j - 2)*(j + 1)*(j + 9)
Let y(h) be the first derivative of -2*h**6 + 154*h**5/15 - 64*h**4/3 + 68*h**3/3 - 38*h**2/3 + 10*h/3 - 3297. Let y(i) = 0. Calculate i.
5/18, 1
Suppose 29/6*t**2 + 1/6*t**4 + 10/3*t + 5/3*t**3 + 0 = 0. What is t?
-5, -4, -1, 0
Let i be 51/(-221) + (-115)/(-273). Let u(a) be the first derivative of 0*a + 19 - i*a**3 + 1/14*a**4 + 0*a**2. What is t in u(t) = 0?
0, 2
Solve -44/7*d + 80/7 + 2/7*d**3 - 38/7*d**2 = 0.
-2, 1, 20
Let l = -499 - -511. Find b, given that l - 11 + 3*b**2 - 33*b - 1 = 0.
0, 11
Let i(l) be the second derivative of 5*l**4/12 - 395*l**3/2 - 1195*l**2 + l - 4276. Find a such that i(a) = 0.
-2, 239
Factor -61*n**2 + 79/5*n**3 + 377/5*n - 30 - 1/5*n**4.
-(n - 75)*(n - 2)*(n - 1)**2/5
Let m(a) be the second derivative of -a**7/42 + a**6/5 - a**5/5 - a**4/2 + 5*a**3/6 - 1771*a. Factor m(k).
-k*(k - 5)*(k - 1)**2*(k + 1)
Let p = 99/211 - -758/633. Factor -960 - p*k**2 - 80*k.
-5*(k + 24)**2/3
Suppose 9*t**3 - 75*t + 7*t**4 + 5*t**4 - 7*t**4 + 26*t**3 + 35*t**2 + 0*t**4 = 0. Calculate t.
-5, -3, 0, 1
Suppose -50*h - 1/7*h**2 - 4375 = 0. What is h?
-175
Let p(o) be the second derivative of 5*o**4/12 - 10*o**3 - 425*o**2/2 + 941*o. Factor p(x).
5*(x - 17)*(x + 5)
Suppose -5*c - 4*n - 12 = 0, 2*c - 411*n - 3 = -410*n. Let q(z) be the second derivative of 3/2*z**3 + c + 0*z**2 - 1/4*z**4 - 35*z. Factor q(v).
-3*v*(v - 3)
Let s(f) be the third derivative of -f**5/180 + 13*f**4/72 - 20*f**3/9 + 323*f**2. Suppose s(c) = 0. Calculate c.
5, 8
Suppose 13*g - 17*g - t = 1, -3*t + t = 18. Factor 28 + 200/7*y + 4/7*y**g.
4*(y + 1)*(y + 49)/7
Let t(h) = -2*h**2 - 30*h - 62. Let f(o) be the first derivative of -61*o - 1/3*o**3 - 29 - 29/2*o**2. Let b(z) = -2*f(z) + 3*t(z). Solve b(c) = 0.
-4
Let y be 1688/(-60) - (-30)/225. Let z be 2*(-1)/y*(2 - -2). Factor 0 - z*c**2 + 0*c.
-2*c**2/7
Let s be (-32)/(-592) + 6 + 452/(-148). Suppose -s*r**3 + 0 + 0*r - 3/2*r**4 - 3/2*r**2 = 0. Calculate r.
-1, 0
Let p(u) be the first derivative of -3*u**4/8 - 239*u**3/2 - 10248*u**2 + 111630*u + 671. Factor p(g).
-3*(g - 5)*(g + 122)**2/2
Let s(g) be the first derivative of g**6/300 + g**5/50 + 7*g**2 + 3. Let q(r) be the second derivative of s(r). Let q(b) = 0. What is b?
-3, 0
Let y(i) be the first derivative of -9/2*i**2 - 43 + 0*i + i**3. Solve y(o) = 0.
0, 3
Factor -2/5*m**2 - 156 - 82/5*m.
-2*(m + 15)*(m + 26)/5
What is p in 2/5*p**4 + 3198/5*p**2 + 158/5*p**3 + 3042/5*p + 0 = 0?
-39, -1, 0
Let h(p) be the third derivative of -p**6/40 - 294*p**5/5 - 346917*p**4/8 - 344569*p**3 + 9070*p**2. Factor h(t).
-3*(t + 2)*(t + 587)**2
Suppose 114 - 104 = 5*f. Factor -127*d**2 + 66*d**f - 60 + 66*d**2 + 55*d.
5*(d - 1)*(d + 12)
Let m = 2557/12 - 843/4. Let s(d) be the first derivative of -m*d**3 - 12*d + 1/4*d**4 + 9 + 8*d**2. What is t in s(t) = 0?
2, 3
Let c(x) = x**2 + x - 1. Let k(d) = -5*d**3 - 9*d**2 - 4*d + 4. Let q(l) = -l**2 - 10*l + 38. Let u be q(-13). Let n(f) = u*k(f) - 4*c(f). Factor n(z).
5*z**2*(z + 1)
Let u(y) = 5*y**2 + 1945*y + 474362. Let z(o) = -24*o**2 - 9726*o - 2371802. Let k(s) = -28*u(s) - 6*z(s). Suppose k(v) = 0. Calculate v.
-487
Factor -204*u + 32 + 7126*u**3 + 150*u**2 - 3577*u**3 - 3527*u**3.
2*(u - 1)*(u + 8)*(11*u - 2)
Factor -109528*a - 22*a**3 + 52*a**2 + 2*a**5 - 38*a**3 + 28*a**4 + 109512*a - 6*a**5.
-4*a*(a - 4)*(a - 1)**3
Let c(m) be the first derivative of -20/3*m**3 + 25/4*m**4 + 0*m - 15/2*m**2 + 2*m**5 + 136. Suppose c(g) = 0. What is g?
-3, -1/2, 0, 1
Solve 1792*i - 1383 + 199*i**2 - 203*i**2 - 5401 - 8580*i = 0.
-1696, -