5*v**2 + 4/5*v + c*v**4 - 2/5*v**5 - 2/5*v**3 = 0.
-1, 0, 1, 2
Suppose 5*w + 175 - 133 = -2*n, n + w = -6. Suppose -2*r**2 - 52/3*r**5 - 4 + 6*r**n + 134/3*r**3 - 82/3*r = 0. Calculate r.
-1, -2/13, 1, 3/2
Let t(o) be the second derivative of 0 + 1/900*o**6 - 14*o + 0*o**4 + 0*o**2 + 7/3*o**3 + 1/300*o**5. Let w(d) be the second derivative of t(d). Factor w(i).
2*i*(i + 1)/5
Let w = 18698 - 38493/2. Let i = -548 - w. Let 3/2*v**2 - 2 + 2*v**3 - 2*v + i*v**4 = 0. Calculate v.
-2, -1, 1
Factor -10609/6 - 10403/6*i + 205/6*i**2 - 1/6*i**3.
-(i - 103)**2*(i + 1)/6
Suppose -8/5 - 2744/5*j - 274*j**2 = 0. What is j?
-2, -2/685
Let n(d) be the second derivative of -2*d**6/105 - 27*d**5/7 - 262*d**4/21 + 360*d**3/7 + 304*d**2 + 546*d. Suppose n(v) = 0. What is v?
-133, -2, 2
Let h(k) = k + 2. Let x be h(6). Let b be -3*(-52)/39 - (-5 + 7). Factor -379*u - x*u**2 + 389*u + 3*u**b.
-5*u*(u - 2)
Suppose 47*y - 73*y + 48 = -14*y. Let 8/5*c**y + 0 + 4/5*c**2 + 0*c + 2*c**3 + 2/5*c**5 = 0. What is c?
-2, -1, 0
Let c(u) be the first derivative of 4/25*u**5 + 166 + 6/5*u**4 + 4/3*u**3 + 0*u**2 + 0*u. Let c(w) = 0. What is w?
-5, -1, 0
Suppose 1 = -5*h - 24, 0 = 3*n - 5*h - 394. Let k = n + -47. Factor 151*f**3 - 75*f**3 + 2*f**2 - 2*f**4 - k*f**3.
-2*f**2*(f - 1)*(f + 1)
Let j(x) be the first derivative of -x**4/3 + 1588*x**3/3 + 2792. Find c such that j(c) = 0.
0, 1191
Let p(z) be the second derivative of -z**5/20 - 59*z**4/2 - 10203*z**3/2 + 64082*z**2 + 907*z. Solve p(s) = 0 for s.
-179, 4
Let x = -201541583/340 - -592770. Let a = x - -11/68. Factor -4/5*w**3 + 2/5*w**4 + 2/5 - a*w**2 + 2/5*w**5 + 2/5*w.
2*(w - 1)**2*(w + 1)**3/5
What is c in 91*c**2 - 119*c**3 + 38*c**3 - 69*c**3 + 181*c**2 + 32*c**4 + 28*c**5 - 16 - 98*c**3 - 68*c = 0?
-4, -1/7, 1
Suppose 927*v + 425*v - 67 - 2637 = 0. Solve v - 61/7*g - 9/7*g**2 = 0.
-7, 2/9
Let t = 583109 - 583109. Solve 0*s - 36/5*s**2 + t + 9/5*s**5 + 112/5*s**3 - 93/5*s**4 = 0.
0, 2/3, 9
Let n(a) be the first derivative of -2*a**3/39 - 324*a**2/13 - 52488*a/13 + 2741. Determine h so that n(h) = 0.
-162
Factor 107/5*d**2 - 1/5*d**3 - 583*d + 2809/5.
-(d - 53)**2*(d - 1)/5
Factor -2420*s**2 + 7600*s - 900*s**3 + 405/2*s**4 + 14440.
5*(s + 2)**2*(9*s - 38)**2/2
Suppose -1079*x = -1081*x - 4*l - 22, x - 5*l = 38. Let 1/7*g**x + 0*g + 0*g**2 + 0 = 0. Calculate g.
0
Suppose -144/5 - 8*o**5 + 458/5*o**4 - 888/5*o**3 - 14/5*o**2 + 628/5*o = 0. What is o?
-4/5, 1/4, 1, 2, 9
Suppose 2 - 5 = -g. Let o = -2069/32 + 10633/160. Find i such that -i**4 - 7/5*i**g + 4/5*i - 4/5 + o*i**2 + 3/5*i**5 = 0.
-1, 2/3, 1, 2
Let a(d) be the third derivative of d**8/47040 - d**7/2205 - d**6/560 + d**4 - 17*d**2 + d. Let g(z) be the second derivative of a(z). Let g(u) = 0. What is u?
-1, 0, 9
Suppose 6*j - 310221*j**3 + 2*j**4 - 7*j**4 + 5*j**2 - 8*j - 53*j + 310276*j**3 = 0. Calculate j.
-1, 0, 1, 11
Factor 14 + 202*k - 335 - 79 + 4*k**3 - 84*k**2 + 278*k.
4*(k - 10)**2*(k - 1)
Factor 1717 - 487 + 434*x - 1098*x - 561*x - 5*x**2.
-5*(x - 1)*(x + 246)
Factor 157464 + 1/6*o**2 + 324*o.
(o + 972)**2/6
Let r = 467160 + -924035/2. Find a such that 128 - r*a**4 - 2080*a - 1331/4*a**5 + 11090*a**2 - 18425*a**3 = 0.
-8, 2/11
Suppose -n = 2*n + 54. Let i = n - -38. Factor 12*l**2 - 147*l**5 + 20 - 96*l**3 - i + 231*l**4.
-3*l**2*(l - 1)*(7*l - 2)**2
Factor 1/6*d**2 - 361/3*d + 130321/6.
(d - 361)**2/6
Let w(i) = -56*i + 329. Let d(q) = 28*q - 165. Let u(c) = 10*d(c) + 4*w(c). Let x be u(6). Factor 0*j + 2/7*j**x + 0 + 2/7*j**3.
2*j**2*(j + 1)/7
Let u(l) = 13*l**3 + 3092*l**2 + 5*l + 10. Let g(n) = 32*n**3 + 7728*n**2 + 12*n + 24. Let j(x) = -5*g(x) + 12*u(x). Factor j(m).
-4*m**2*(m + 384)
Suppose 0 = -2*q + 3*g + 2897, q + 4*q = 3*g + 7238. What is a in -q + 1438 + 0*a**2 + 10*a - a**2 = 0?
1, 9
Let p be (5/10)/(-2*(-2)/(-24)). Let b be (-4)/(-56)*12*(-14)/p. Factor -2*a**b - 8*a**3 + 6*a**4 + 146*a**5 - 142*a**5.
4*a**3*(a - 1)*(a + 2)
Let d(q) be the second derivative of q**7/12 - q**6/3 + 929*q. Factor d(f).
f**4*(7*f - 20)/2
Let s = 525/2 - 1495/6. Let n = 3164583 + -9493721/3. Factor s - 4/3*k**3 - 16/3*k**2 + n*k.
-4*(k - 2)*(k + 1)*(k + 5)/3
Let o = 557 + -567. Let p be o - 2/(-24)*123. Factor -5/4*d - p*d**2 - 1.
-(d + 1)*(d + 4)/4
Suppose 3*k + 7 = -41. Let h = -17 - k. Let i(b) = -b**2 - b. Let c(v) = v**2 + v. Let y(f) = h*i(f) - 2*c(f). Determine d, given that y(d) = 0.
-1, 0
Let z be 0/(158/(-32) - 8/128). Let d(w) be the second derivative of z + 12*w - 4/15*w**3 + 1/30*w**4 + 0*w**2. Factor d(q).
2*q*(q - 4)/5
Let k = -120 - -123. Factor 32*y + 25 + 8*y**k - 3*y**3 - 18*y + 41*y + 35*y**2.
5*(y + 1)**2*(y + 5)
Let f(g) = g**2 - g. Let t(y) = 2*y + 30 - 34 - y. Let i be t(9). Let n(a) = -4*a**2 + 2*a + 2. Let w(l) = i*f(l) + n(l). Determine j, given that w(j) = 0.
1, 2
What is t in -4/7*t**2 - 287296/7 - 2144/7*t = 0?
-268
Let b(j) be the second derivative of 5*j**9/336 + 5*j**8/336 - j**7/42 + 29*j**3/6 - 74*j. Let y(q) be the second derivative of b(q). Factor y(k).
5*k**3*(k + 1)*(9*k - 4)
Let u = -4544 + 4548. Let m(p) be the first derivative of 36 + 1/3*p**3 + 0*p + 1/6*p**6 - 1/5*p**5 - 3/4*p**u + p**2. Factor m(r).
r*(r - 2)*(r - 1)*(r + 1)**2
Let m(h) = -h**3 + 3*h**2 + 3*h + 3. Let k(w) = -5*w**3 - 48*w**2 - 599*w + 12. Let i(t) = -5*k(t) + 20*m(t). Factor i(y).
5*y*(y + 13)*(y + 47)
Let y(j) be the first derivative of -34/7*j + 37 - 2/21*j**3 - 18/7*j**2. Determine h so that y(h) = 0.
-17, -1
Suppose -31361*c**2 - 383*c + 1158 - 31360*c**2 + 62720*c**2 = 0. Calculate c.
-386, 3
Let n(y) be the first derivative of -5/2*y**2 - 2*y**5 - 105 + 15*y - 15*y**3 + 45/4*y**4. What is a in n(a) = 0?
-1/2, 1, 3
Solve 35/4*u**3 + 5/4*u**5 - 5 - 5/4*u**2 - 10*u + 25/4*u**4 = 0 for u.
-2, -1, 1
Let f(c) = -c + 5. Let v be f(-5). Factor -21*x + 8*x**3 - 18 + v*x**3 - 15*x**3.
3*(x - 3)*(x + 1)*(x + 2)
Let p be 8/(-18)*(10/50)/(4/(-5)). Let u(m) be the third derivative of 1/270*m**5 - 1/27*m**4 + p*m**3 + 18*m**2 + 0*m + 0. Determine k so that u(k) = 0.
1, 3
Suppose -3*a - 4*v + 26 = 0, 2*a - a + 3*v = 17. Factor -1600 + 2*g**2 + 202*g - 42*g - 6*g**a.
-4*(g - 20)**2
Suppose -36763 + 36939 = 88*d. Factor -2*v**d + 5/2*v + 3.
-(v - 2)*(4*v + 3)/2
Let a(h) be the first derivative of -9/7*h - 192 + 3/35*h**5 + 2/7*h**3 - 15/14*h**2 - 1/14*h**6 + 9/14*h**4. Let a(p) = 0. What is p?
-1, 1, 3
Let y be ((-20)/(-8))/((-40)/(-6) - (45 + -45)). Factor 0 - 9/8*n**2 - 15/8*n**3 + 27/8*n - y*n**4.
-3*n*(n - 1)*(n + 3)**2/8
Suppose 2*g = -4*y + 62, y - 4*g - 17 = 3. Let p = 49/3 - y. Factor 2/3*j + 0 - j**2 + p*j**3.
j*(j - 2)*(j - 1)/3
Suppose 3*b + 38 = 3*n + 20, -4*n = -b - 12. Let x be 9/(81/n) - 8/(-18). Solve 4/3*f**2 + 2/3*f - 4/3 - x*f**3 = 0 for f.
-1, 1, 2
Let c(v) be the third derivative of -v**8/560 + v**7/280 + v**6/24 + 3*v**5/40 + 35*v**3/6 - v**2 - 18. Let y(q) be the first derivative of c(q). Factor y(a).
-3*a*(a - 3)*(a + 1)**2
Let a(o) = 5*o**2 - 80*o + 186. Let z be a(26). Let i = 22292/15 - z. Let 0*h + 0 - 2/3*h**5 + 16/15*h**4 - i*h**3 - 4/15*h**2 = 0. Calculate h.
-2/5, 0, 1
Let r(l) be the second derivative of l**4/42 - 2*l**3/3 - 15*l**2/7 + 3620*l - 2. Let r(a) = 0. What is a?
-1, 15
Let j(w) = 5*w**2 + 29*w - 22. Let i(n) = 8*n**2 + 58*n - 46. Suppose -11*h = 13 + 42. Let m(q) = h*j(q) + 3*i(q). Factor m(p).
-(p - 28)*(p - 1)
Let g be (-2)/(-10) + 52/(-10) + 644/92. Factor -17/9*u + 8/9*u**g - 1/9*u**3 + 10/9.
-(u - 5)*(u - 2)*(u - 1)/9
Let r be ((250/(-15))/(-5))/(14/(-21)). Let m(t) = 23*t**2 + 313*t + 2615. Let f(s) = 16*s**2 + 209*s + 1744. Let w(o) = r*m(o) + 7*f(o). Factor w(l).
-3*(l + 17)**2
Let v = -1021 - -1017. Let t be v/((-112)/156) + 110/(-22). Factor -88/7*w + t*w**2 + 484/7.
4*(w - 11)**2/7
Let b be ((-72)/(-168))/(6/7) + 7/(-15). Let g(s) be the second derivative of 0*s**2 + 19*s + 0 - 1/15*s**3 + b*s**4. Find h such that g(h) = 0.
0, 1
Let c(s) = s**3 + 14*s**2 + 20*s + 119. Let p be c(-17). Let b = p - -1090. Suppose -3/4*l**b - 15/4 - 9/2*l = 0. Calculate l.
-5, -1
Let n(i) be the first derivative of 2*i**2 - 4 + 4/5*i**5 + 4*i**3 + 0*i + 3*i**4. What is s in n(s) = 0?
-1, 0
Let 30 + 12 - 61 - 4*z**3 + 51*z**2 - 149 - 114*z + z**3 = 0. Calculate z.
-1, 4, 14
Let q be (-5)/(-44) - (-25068)/183832. What is m