 derivative of s**6/10 - 87*s**5/20 + 46*s**4 - 168*s**3 - 468*s. What is r in o(r) = 0?
0, 4, 21
What is u in -213*u**3 + 517*u**2 + 3*u**5 - 7189*u - 37*u**2 + 9*u**4 + 240 + 6613*u + 57*u**3 = 0?
-10, 1, 2
Factor -276/7*y**2 + 4/7*y**3 - 252*y - 2700/7.
4*(y - 75)*(y + 3)**2/7
Factor -44*w - 153*w**2 - 22919*w**3 + 22916*w**3 - 106*w.
-3*w*(w + 1)*(w + 50)
Let v(t) be the second derivative of t**5/60 + 205*t**4/36 + 5781*t. Factor v(n).
n**2*(n + 205)/3
Let j(c) be the first derivative of -2*c**5/95 + 37*c**4/38 + 4*c**3/3 - 827. Find v, given that j(v) = 0.
-1, 0, 38
Let v = 22150/7 - 3160. Let i(j) be the first derivative of v*j**2 - 12/7*j - 11 - 9/7*j**3. Factor i(z).
-3*(z - 2)*(9*z - 2)/7
Find c, given that 3/8*c**2 - 1215/4 - 801/8*c = 0.
-3, 270
Let p = 1451027/9 + -161225. Suppose -2/3*n - p*n**5 - 8/3*n**3 - 20/9*n**2 - 4/3*n**4 + 0 = 0. What is n?
-3, -1, 0
Determine p, given that -p**3 - 91/4*p**2 - 33/2*p + 0 = 0.
-22, -3/4, 0
Let f(p) be the second derivative of -5*p**4/21 + 542*p**3/7 + 652*p**2/7 - 15*p - 39. Suppose f(i) = 0. Calculate i.
-2/5, 163
Let c = -5 - -7. Let z = 3435 - 3417. Factor 2*s**4 - 4*s**c + z*s**3 - 2*s**4 - 17*s**3 - 4*s + s**4.
s*(s - 2)*(s + 1)*(s + 2)
Solve -3328/3*v**2 - 2/3*v**5 + 8192/3 - 4096/3*v - 62/3*v**4 - 704/3*v**3 = 0.
-8, 1
Let f(d) be the third derivative of 8/45*d**3 + 1/180*d**6 + 0 - 1/9*d**4 - 1/15*d**5 + 0*d + 3*d**2 + 1/225*d**7. Let f(h) = 0. What is h?
-2, -1, 2/7, 2
Let j = 225/44 + -439/88. Find z such that -9/8*z + 1/2 + z**3 + 1/4*z**2 + j*z**5 - 3/4*z**4 = 0.
-1, 1, 4
Let z(n) be the second derivative of 11/10*n**5 + 4/9*n**3 + 0*n**2 + 14/9*n**4 + 48*n + 0. Solve z(s) = 0 for s.
-2/3, -2/11, 0
Let s(v) be the third derivative of -v**6/1200 - v**5/300 + 11*v**4/240 + v**3/5 + 32*v**2 + 29. Factor s(z).
-(z - 3)*(z + 1)*(z + 4)/10
Factor 2*k**2 + 107 + 243 + 71 - 761 + 166*k.
2*(k - 2)*(k + 85)
Suppose -2*s = 3*s + 4*f - 11, 2*s + 4*f = 2. Suppose -s*n - 2*n = -1565. Factor 22 + 165 + 5*r**2 + n + 100*r.
5*(r + 10)**2
Let v(z) be the second derivative of 0 - 5/24*z**4 + 0*z**2 + 0*z**3 - 141*z + 0*z**5 + 1/12*z**6. Factor v(a).
5*a**2*(a - 1)*(a + 1)/2
Let b(t) = -5*t**5 + 49*t**4 + 1280*t**3 - 325*t**2 - 1. Let q(l) = -l**5 - 8*l**3 - 1. Let i(a) = b(a) - q(a). Solve i(z) = 0 for z.
-13, 0, 1/4, 25
Solve -2568/13*j - 824328/13 - 2/13*j**2 = 0 for j.
-642
Let a(o) = 5*o**2 + 562*o + 2889. Let m be a(-107). Factor m + 6*u**2 - 3/5*u**4 - 3/5*u**3 - 24/5*u.
-3*u*(u - 2)*(u - 1)*(u + 4)/5
Let b(i) be the second derivative of -i**7/21 - 20*i**6/51 + 74*i**5/85 + 43*i**4/51 - 131*i**3/51 + 14*i**2/17 - i + 142. Determine d, given that b(d) = 0.
-7, -1, 2/17, 1
Let j(l) = -40*l**4 + 50*l**3 + 35*l**2 - 50*l. Let b(m) = m**5 - 40*m**4 + 50*m**3 + 34*m**2 - 51*m. Let f(q) = 5*b(q) - 6*j(q). Let f(y) = 0. Calculate y.
-9, -1, 0, 1
Let z(r) = r**2 - 79*r - 7558. Let m be z(-56). Let n be (-1)/1 - 5/(-3). Factor 2/3*u**3 + 0 + n*u**m - 4/3*u.
2*u*(u - 1)*(u + 2)/3
Suppose -2*v + v - 237 = -2*d, -1193 = 5*v - 2*d. Let r = v + 241. Suppose -2/13*i**4 - 8/13*i**3 - 12/13*i**r - 2/13 - 8/13*i = 0. What is i?
-1
Let t(q) = 2*q**3 + 6*q**2 - q - 8. Let s be t(-2). Let v(y) be the second derivative of -1/5*y**4 + 0 - 3/10*y**s + 1/2*y**3 - 19*y. Factor v(r).
-3*(r - 1)*(4*r - 1)/5
Let m(r) = 10*r**3 - 1450*r**2 + 1545*r + 2255. Let i(q) = -q**3 + 181*q**2 - 193*q - 285. Let v(a) = -25*i(a) - 3*m(a). Factor v(n).
-5*(n - 2)*(n + 1)*(n + 36)
Let v(x) be the second derivative of x**6/60 + 2*x**5/5 + 15*x**4/4 + 50*x**3/3 + 43*x**2/2 + 36*x. Let n(m) be the first derivative of v(m). Factor n(d).
2*(d + 2)*(d + 5)**2
Let s(g) be the second derivative of 0*g**2 + 3*g + 1/25*g**5 + 0 + 0*g**3 - 1/75*g**6 - 1/30*g**4. Suppose s(z) = 0. What is z?
0, 1
Let f = 21407 + -21401. Let z(q) be the first derivative of 14 + 2/35*q**5 - 2/21*q**3 + 0*q**2 - 1/14*q**4 + 0*q + 1/21*q**f. Determine y, given that z(y) = 0.
-1, 0, 1
Factor 631*k**3 - 964*k**2 - 143*k**3 + 360*k**4 + 357*k**4 - 721*k**4 + 480*k.
-4*k*(k - 120)*(k - 1)**2
Find w, given that 136/5*w + 302/5*w**3 - 6/5*w**5 - 518/5*w**2 + 0 + 86/5*w**4 = 0.
-4, 0, 1/3, 1, 17
Let n(v) be the first derivative of -v**5/15 + 11*v**4/3 + 57*v**2/2 - 19. Let h(d) be the second derivative of n(d). Factor h(t).
-4*t*(t - 22)
Find o, given that -24/7 + 50/7*o**2 + 40/7*o - 26/7*o**4 - 40/7*o**3 = 0.
-2, -1, 6/13, 1
Let w(j) be the second derivative of -j**7/105 + 89*j**6/75 - 287*j**5/10 - 4805*j**4/6 - 17000*j**3/3 - 12500*j**2 + 4477*j. Let w(o) = 0. Calculate o.
-5, -1, 50
Let b(s) be the first derivative of s**4/2 - 12*s**3 + 45*s**2 - 3643. Suppose b(f) = 0. What is f?
0, 3, 15
Let l(h) = -19*h**2 - 2312*h + 661. Let j(f) = 9*f**2 + 1157*f - 311. Let x(o) = 7*j(o) + 3*l(o). Factor x(m).
(m + 194)*(6*m - 1)
Let a be (-276)/(-1881) + (-442)/(-12597). Factor 4/11*l - a*l**3 + 0 - 2/11*l**2.
-2*l*(l - 1)*(l + 2)/11
Factor -234/7*r + 711/7 - 1/7*r**2.
-(r - 3)*(r + 237)/7
Suppose 3*h - 16 = q - 6, h + q = 2. Let c be 4/22 - 6/33. What is s in -4*s**3 + 2*s**4 + 2*s**5 + c*s**4 + 0*s**3 - 2*s**2 + 2*s**h = 0?
-1, 0, 1
Let y(f) be the second derivative of 9 + 4913/4*f**2 + 2*f + 17/8*f**4 + 289/4*f**3 + 1/40*f**5. Suppose y(i) = 0. Calculate i.
-17
Let l be 14/(-4) + 3773/98. Let k(d) be the first derivative of -4/3*d**3 + 16*d + d**4 - l - 8*d**2. Find x such that k(x) = 0.
-2, 1, 2
Let v be 8 + (-2 - (5 + -4)). Let q(m) be the second derivative of 0*m**4 + 0 + 1/10*m**v + 0*m**2 - 1/3*m**3 + 2*m. Let q(k) = 0. What is k?
-1, 0, 1
Factor 1/9*z**3 - 22/9*z**2 - 50/9 - 73/9*z.
(z - 25)*(z + 1)*(z + 2)/9
Suppose 0 + 0*p + 3/2*p**5 + 0*p**2 - 27/2*p**4 + 30*p**3 = 0. What is p?
0, 4, 5
Let i(x) = -x**4 + x**3 - 2*x. Let a(u) = 5*u**4 + 21*u**3 + 20*u**2 - 18*u - 22. Let t(q) = -a(q) - 3*i(q). Factor t(p).
-2*(p - 1)*(p + 1)**2*(p + 11)
Let o(d) be the second derivative of -d**6/180 - d**5/12 - d**4/2 + d**3/3 - 2*d**2 + d - 1. Let s(k) be the second derivative of o(k). Solve s(u) = 0 for u.
-3, -2
Let u(x) be the first derivative of 2*x**5/45 + 7*x**4/9 + 2*x**3/3 - 20*x**2 - 9857. Suppose u(p) = 0. What is p?
-12, -5, 0, 3
Suppose -27/2*u - 1/4*u**2 - 665/4 = 0. What is u?
-35, -19
Let z(r) be the first derivative of -3*r**4/4 - 249*r**3 - 2949*r**2/2 - 2205*r + 127. Factor z(o).
-3*(o + 1)*(o + 3)*(o + 245)
Let m(h) be the second derivative of -h**5/10 + 75*h**4/7 - 2432*h**3/7 + 2048*h**2/7 - 2413*h. Factor m(k).
-2*(k - 32)**2*(7*k - 2)/7
Suppose 552*b - 1408 - 74 - 174 = 0. Solve 18*w**4 + 3*w - 27/2*w**2 + 3/2*w**b + 0 = 0.
-1, 0, 1/4, 2/3
Let h(z) be the third derivative of -1/24*z**4 + 1/35*z**7 + z**3 - 1/5*z**5 - 1/336*z**8 + 1/60*z**6 + 0 + 0*z + 83*z**2. Find v, given that h(v) = 0.
-1, 1, 6
Let x = -229/6 + 5/2. Let u = -35 - x. Suppose u*k + 0 + 5/3*k**2 + k**3 = 0. What is k?
-1, -2/3, 0
Let i(o) be the second derivative of -18*o + 0*o**2 - 1/60*o**6 + 3/20*o**5 - 3/8*o**4 + 2 + 0*o**3. Factor i(p).
-p**2*(p - 3)**2/2
Let n(x) be the first derivative of 2*x**5/15 + 41*x**4/6 + 38*x**3 - 10469*x**2/3 - 219488*x/3 - 4085. Suppose n(z) = 0. What is z?
-19, 16
Suppose 5*y + 15 = 10*y. Factor t**4 - 19 - 2470*t**2 - 13 + 9*t**y + 2492*t**2.
(t - 1)*(t + 2)*(t + 4)**2
Let u(l) be the first derivative of -l**7/70 + 2*l**6/45 - l**5/36 - l**4/36 + l**2/2 - 19*l + 85. Let i(r) be the second derivative of u(r). Factor i(h).
-h*(h - 1)**2*(9*h + 2)/3
Let v(q) = 1185*q**2 - 2376*q + 1176. Let w(c) = -c**3 + 1184*c**2 - 2369*c + 1176. Let o(p) = 2*v(p) - 3*w(p). Factor o(k).
3*(k - 392)*(k - 1)**2
Factor 1/6*r**5 - 64/3*r**4 - 1355/6*r**3 + 0 + 0*r - 575*r**2.
r**2*(r - 138)*(r + 5)**2/6
Suppose o = 3*g - 11, 9*o - 8*o = -5*g - 3. Let i be 6 + 834/(-168) + 6/o. Let -i*v**2 - 6/7*v**3 + 2/7*v**4 + 2/7*v**5 + 4/7*v + 0 = 0. What is v?
-2, -1, 0, 1
Suppose -12*r = -463 + 127. Let -4*n**5 + 17*n**3 - 107 + 24*n**2 + 15*n**3 - r*n + 83 = 0. Calculate n.
-2, -1, 1, 3
Let t = -50 + 57. Suppose -8*s + 437 = -t*s. Determine b, given that -168*b**2 + 47*b - 128 + 409*b**4 - s*b**4 + 188*b**3 - 559*b = 0.
-1, -2/7, 4
Let g(r) be the second derivative of r**6/120 - r**5/12 - r**4/4 - 2*r**2 + 11*r + 2. Let u(k) be the first derivative of g(k). Factor u(i).
i*(i - 6)*(i + 