5*t - 64. What is l in 168/13*l - 24/13*l**t - 44/13*l**2 - 98/13 - 2/13*l**4 = 0?
-7, 1
Let p(a) be the first derivative of -a**6/180 + a**5/15 - 47*a**3/3 - a**2 + 205. Let r(c) be the third derivative of p(c). Let r(n) = 0. Calculate n.
0, 4
Determine b, given that 3 + 1755/4*b**2 + 879*b = 0.
-2, -2/585
Let u(k) be the second derivative of -k**6/6 + 781*k**5 - 3049805*k**4/2 + 4763795410*k**3/3 - 1860262107605*k**2/2 - 4*k + 248. Solve u(w) = 0 for w.
781
Let g(t) be the third derivative of 95*t**2 + 0*t**3 + 0*t + 0 + 1/60*t**6 - 25/12*t**4 - 4/5*t**5. What is l in g(l) = 0?
-1, 0, 25
What is r in 74/13*r**2 - 720/13*r - 2/13*r**3 + 648/13 = 0?
1, 18
Let z(h) be the first derivative of 15/2*h**6 + 60 + 25*h**3 - 20*h - 15*h**5 - 25/4*h**4 + 0*h**2. Determine d so that z(d) = 0.
-2/3, 1
Let w(l) be the third derivative of 13*l**2 - 8/45*l**5 + 0 + 2/15*l**6 + 0*l**3 + 8*l + 0*l**4 + 1/252*l**8 - 4/105*l**7. Factor w(r).
4*r**2*(r - 2)**3/3
Suppose 2*m - 5*m = -12, 5*p - 16 = -4*m. Suppose -18 = -4*n + 2*y, -13*y + 16*y + 9 = p. Factor 1/3 + v**2 - 1/3*v**n - v.
-(v - 1)**3/3
Let t(c) = -c**3 - 16*c**2 - 22*c - 1. Let m be t(-15). Let v = m + -102. Find z such that -6596 + 2*z**v + 6596 + 6*z = 0.
-3, 0
Let t be 1910/175 + -4 - 4*(-30)/150. Let -165/7*d - 9*d**3 - 3/7*d**4 - t - 171/7*d**2 = 0. Calculate d.
-18, -1
Let i(g) = 32*g**2 + 77*g + 77. Let l = 8 - 68. Let a = -43 - l. Let t(z) = 11*z**2 + 26*z + 26. Let x(p) = a*t(p) - 6*i(p). Factor x(s).
-5*(s + 2)**2
Let l(q) be the third derivative of -5*q**8/224 + 5*q**7/21 + 529*q**6/48 - 761*q**5/4 + 3275*q**4/12 + 1750*q**3/3 - 75*q**2 - 1. What is j in l(j) = 0?
-14, -1/3, 1, 10
Let y(n) be the second derivative of -3*n**7/49 - 137*n**6/105 + 138*n**5/35 + 34*n**4/21 + n - 3057. Solve y(g) = 0.
-17, -2/9, 0, 2
Determine f so that 1/4*f**3 + 126 + 159*f + 67/2*f**2 - 1/4*f**4 = 0.
-6, -1, 14
Let d = -55238 - -110483/2. What is t in -25/6*t**4 - 3/2*t**5 - d*t**3 + 0 + 1/3*t - 1/2*t**2 = 0?
-1, 0, 2/9
Let w(n) be the second derivative of n**6/15 - 12*n**5/5 - 55*n**4/6 + 26*n**3 + 6458*n - 2. Factor w(s).
2*s*(s - 26)*(s - 1)*(s + 3)
Factor -137/2*a + 0 - 1/8*a**2.
-a*(a + 548)/8
Let i(c) be the first derivative of -2*c**3/3 + 8*c**2 + 18*c + 382. Suppose i(a) = 0. Calculate a.
-1, 9
Factor 159 + 1107/7*a**2 - 3/7*a**3 + 2223/7*a.
-3*(a - 371)*(a + 1)**2/7
Let m = -34105 + 34107. What is v in -12/7 - 16/7*v**4 - 6/7*v**5 + 96/7*v**3 + 10*v - 132/7*v**m = 0?
-6, 1/3, 1
Let r(i) be the second derivative of -i**4/4 - 3331*i**3 - 33286683*i**2/2 - 8492*i + 1. Solve r(s) = 0.
-3331
Find c such that 5*c**3 - 5/2*c**5 + 55*c**4 - 110*c**2 - 5/2*c + 55 = 0.
-1, 1, 22
Let 67390 - 24190 + 720*a + 10*a**2 - 7*a**2 = 0. What is a?
-120
Find b such that -60*b - 1597*b**3 + 801*b**3 - 58*b**2 + 798*b**3 = 0.
-1, 0, 30
Suppose 3*j + 2*l = 770, -j - 7*l + 266 = -4*l. Let m = -170 + j. Factor 4 - m*b + b**2 + 6*b**2 + 73*b.
(b - 1)*(7*b - 4)
Factor -1332/7*i + 144 + 320/7*i**2 + 4/7*i**3.
4*(i - 3)*(i - 1)*(i + 84)/7
Let k(w) be the third derivative of w**6/900 + w**5/300 - w**4/10 - 64*w**3/3 + 23*w**2. Let y(n) be the first derivative of k(n). Factor y(s).
2*(s - 2)*(s + 3)/5
Let f be ((-630)/75)/(2/(-9310)*2). Factor f*h - 10890 + 5853*h + 45*h**3 + 11002*h + 1647*h**2 + 11939*h + 1313*h**2.
5*(h + 33)**2*(9*h - 2)
Let n be 8 - 2 - (-5 + (-24)/(-3)). Suppose -46*o - o**2 + 91*o - n*o**2 + 47*o = 0. What is o?
0, 23
Let l(p) be the first derivative of 2*p**3/39 - 142*p**2/13 + 282*p/13 + 2101. Find i such that l(i) = 0.
1, 141
Let -94780*p + 47178*p + 4*p**2 + 47258*p = 0. Calculate p.
0, 86
Let r = 36 - 30. Let k be (r + 0)/(((-189)/490)/(-9)). Let -4 + k*t**3 + 4 - 55*t**4 - 130*t**3 = 0. Calculate t.
0, 2/11
Suppose -5*j + 35 = -5*h, -5*h + 91 = 5*j + 96. Let r(d) be the third derivative of 0*d**5 + 0 - 1/24*d**6 + 0*d**j + 10*d**2 + 5/24*d**4 + 0*d. Solve r(k) = 0.
-1, 0, 1
Let l be 549/15 - -1*(-6)/(-15). Factor -l*r + r**3 + 2*r**2 + 37*r + 0*r**3.
r**2*(r + 2)
Let w(h) = h**2 + 11*h - 10. Let i be w(-12). Solve y**2 - 41 + 0*y**2 + 90*y - 2*y**i - 54 + 6*y**2 = 0.
-19, 1
Find q such that -486*q**3 - 1134000*q - 174600*q**2 - 711*q**3 + 35*q**3 - 5*q**4 - 673*q**3 = 0.
-180, -7, 0
Factor -36*y**3 - 8*y + 39*y**2 + 7*y**2 + 25*y**3 + 10*y**3 - 184 + 3*y**3.
2*(y - 2)*(y + 2)*(y + 23)
Suppose 0 = 2*w + 19*n - 312, -386*w = -390*w - 4*n + 80. Factor -106/11*h**2 - 18/11*h - 150/11*h**3 + 18/11*h**w + 0.
2*h*(h - 9)*(3*h + 1)**2/11
Let k be (-40)/(-52) - 2400/3120. Factor k*y**3 + 9/2 - 3/2*y**4 + 9*y**2 - 12*y.
-3*(y - 1)**3*(y + 3)/2
Let z(w) be the third derivative of w**7/1470 - w**6/84 - 31*w**5/105 + 185*w**4/21 - 400*w**3/7 + 60*w**2 - w + 1. Suppose z(f) = 0. What is f?
-12, 2, 10
Let d(f) be the second derivative of -2*f**6/15 - 7*f**5 - 34*f**4/3 - 1301*f. Suppose d(i) = 0. Calculate i.
-34, -1, 0
Suppose -140 = -70*s - 0. Let t be 8*(-6)/(-840) - s/(-14). Suppose -7/5*a**3 - t*a**4 - 3*a**2 - 4/5 - 13/5*a = 0. What is a?
-4, -1
Suppose 5 = -c - 10*s + 14*s, 3*c - 4*s = 1. Let -16/3*b**4 + 0*b - 8/9*b**5 + 0 - 10/9*b**2 - 14/3*b**c = 0. Calculate b.
-5, -1/2, 0
What is m in 38/3*m - 80/3 + 1/3*m**2 = 0?
-40, 2
Let y(s) be the second derivative of -107*s**7/378 - 7*s**6/18 + s**5/90 + 68*s + 1. Factor y(f).
-f**3*(f + 1)*(107*f - 2)/9
Let r = -1678/11 + 11812/77. Suppose -16/7 + 8/7*p**3 - 2/7*p**4 + r*p**2 - 20/7*p = 0. Calculate p.
-1, 2, 4
Factor 59/7*l - 1/7*l**3 - 8/7*l**2 - 78/7.
-(l - 3)*(l - 2)*(l + 13)/7
Suppose 80*q - 348 = 293 - 161. Let p(m) be the second derivative of -19*m + 2/3*m**4 + 0 - 1/2*m**5 + 1/15*m**q + 0*m**2 + 0*m**3. Let p(k) = 0. What is k?
0, 1, 4
Solve 2084*u - 4*u**4 + 52*u**2 - 72*u**3 + 83*u**3 - 65*u**3 - 110*u**3 - 1968 = 0 for u.
-41, -4, 1, 3
Suppose -8*v = -17*v + 414. Find o such that 4*o**3 + v*o**2 + 33*o**2 - 61*o**2 - o**3 = 0.
-6, 0
Suppose 15*t = 238 + 62. Find g such that 45*g - 172 - 2*g**4 - t*g**3 - 2*g**4 + 35*g - 8*g**2 + 268 = 0.
-3, -2, 2
Factor -2/5*g**3 - 72/5*g + 0 + 8*g**2.
-2*g*(g - 18)*(g - 2)/5
Determine x, given that -1/4*x**4 - 7*x**2 + 32 - 33*x + 33/4*x**3 = 0.
-2, 1, 2, 32
Suppose -11*c + 6 = -16. Factor -29*q**2 + 41*q**c + 16*q + 2 - 2 - 4*q**3.
-4*q*(q - 4)*(q + 1)
Find w, given that -3*w**3 - 1586*w**2 - 1519*w**2 - 894*w + 792 + 3210*w**2 = 0.
1, 12, 22
Let k(c) be the third derivative of -c**7/840 - 13*c**6/480 - 5*c**5/48 + 31*c**4/32 - 9*c**3/4 + 4*c**2 + 867*c. Factor k(u).
-(u - 1)**2*(u + 6)*(u + 9)/4
Let z be (515040/518)/58 + -17*1. Factor -1/7*l**4 - 3/7*l**3 + 0 + 3/7*l + z*l**2.
-l*(l - 1)*(l + 1)*(l + 3)/7
Let u(c) be the first derivative of 9 + 1/6*c**4 + 0*c**3 - 10*c**2 - 1/60*c**5 + 0*c. Let s(l) be the second derivative of u(l). Factor s(d).
-d*(d - 4)
Let l(v) be the second derivative of 0*v**4 - 1/27*v**3 + 0*v**2 + 1/90*v**5 + 180*v + 0. Determine n so that l(n) = 0.
-1, 0, 1
Let h(b) be the second derivative of -b**7/21 - 12*b**6/5 - 69*b**5/2 + 203*b**4/3 + 3724*b**3 - 24696*b**2 - 4393*b. Solve h(s) = 0 for s.
-14, 3
Let z be 1197/195 - ((-2827)/(-143) + -20)*2. Find b, given that -6/5*b**3 + 6/5*b + 0 - 33/5*b**2 + z*b**4 = 0.
-1, 0, 2/11, 1
Let m(a) be the first derivative of 5*a**4/6 + 124*a**3/27 + 7*a**2/9 - 8*a/9 + 1455. Find t such that m(t) = 0.
-4, -1/3, 1/5
Let i be 128/96*6/112. Let b(x) be the second derivative of 0 - i*x**4 + 3/7*x**3 - 1/70*x**5 + 10*x - 5/7*x**2. What is h in b(h) = 0?
-5, 1
Let i be 108*((-28)/16 - -1). Let y = -79 - i. Factor -5 - 8*g**2 - y*g**2 + 15*g**2.
5*(g - 1)*(g + 1)
Let v**2 + 1729225 + 2416*v + 731*v - 517*v = 0. What is v?
-1315
Let v(j) = -3*j**2 + 18*j + 2. Let x = -135 + 86. Let r be (x + 44)*2*(-3)/5. Let y(u) = u**2 - 6*u - 1. Let d(l) = r*v(l) + 17*y(l). Let d(o) = 0. Calculate o.
1, 5
Let x = 568 - 481. Determine p so that 731*p - 929 - 95 - 1417*p**2 + 123*p**3 - 8*p**4 + x*p**3 - p**4 + 1509*p = 0.
1, 32/3
Let a = -360 + 344. Let h(c) = -12*c**4 + 32*c**3 + 48*c**2 + 48*c + 16. Let l(m) = -m**4 - 2*m**2 - m + 1. Let t(n) = a*l(n) + h(n). Factor t(u).
4*u*(u + 2)**2*(u + 4)
Let n(a) be the third derivative of 0*a + 0*a**3 - 1/6*a**5 - 1/24*a**6 + 0 + 0*a**4 - 12*a**2. Find k such that n(k) = 0.
-2, 0
Factor 4/7*g**2 + 1996/7*g + 5952/7.
4*(g + 3)