80 + 79*p**4/24 + 66*p**2. Let t(v) be the second derivative of b(v). Solve t(a) = 0 for a.
-1, 0, 3
Suppose -b - 17 = -11, 15 = t - 2*b. Let s(n) be the second derivative of 1/36*n**4 + 0*n**t + 0*n**2 - 1/60*n**5 + 17*n + 0. Factor s(r).
-r**2*(r - 1)/3
Suppose -4*r = 2*i - 108, 0 = i - 2*r - 0*r - 74. Let v = i - 60. Let 9*q**3 - 2*q**4 - q - q**v - 6*q**2 + q = 0. Calculate q.
0, 1, 2
Let o(m) = -17*m**3 - 179*m**2 + 433*m - 14. Let n(j) = 16*j**3 + 180*j**2 - 432*j + 16. Let q(c) = 7*n(c) + 8*o(c). Factor q(u).
-4*u*(u - 2)*(6*u + 55)
Suppose -16/19*d**3 + 10/19 + 36/19*d**2 - 32/19*d + 2/19*d**4 = 0. Calculate d.
1, 5
Suppose -277*t = -289*t - 5136. Let h = t - -428. Factor h - 2/15*r**3 - 4/15*r**4 - 2/15*r**5 + 0*r + 0*r**2.
-2*r**3*(r + 1)**2/15
Let x(r) be the first derivative of -r**4/18 + 4*r**3/27 + 239*r**2/9 - 160*r/3 + 7652. Factor x(b).
-2*(b - 16)*(b - 1)*(b + 15)/9
Let h(d) be the first derivative of -1/30*d**6 + 89 - 2/15*d**3 + 2*d + 17/10*d**2 - 4/5*d**4 - 8/25*d**5. Solve h(z) = 0.
-5, -2, -1, 1
Let n be (480/18)/(-4)*132/10. Let p = -84 - n. Let b**4 - 2*b**2 - 2*b**p + 5*b**4 - 2*b**4 = 0. Calculate b.
-1, 0, 1
Suppose 5470/9*h + 0 + 2/9*h**2 = 0. What is h?
-2735, 0
Find n, given that 0 + 9/2*n + 1/6*n**3 - 2*n**2 = 0.
0, 3, 9
What is p in -304/9*p**2 - 58/3 + 68/9*p**3 - 2/9*p**4 + 412/9*p = 0?
1, 3, 29
Let d(k) = -k**2 - 6*k + 47. Let c be d(-14). Let v = c + 67. Factor v*q**2 - 42 + 42 + 11*q + q.
2*q*(q + 6)
Let -73441/2 - 1/8*o**2 - 271/2*o = 0. Calculate o.
-542
Let s(v) be the second derivative of v**6/105 + 6*v**5/7 + 626*v**4/21 + 3520*v**3/7 + 30976*v**2/7 - 68*v - 3. Solve s(l) = 0 for l.
-22, -8
Let t(a) be the third derivative of a**6/60 - 19*a**5/18 + 229*a**4/36 + 29*a**3/3 - 520*a**2. Let t(x) = 0. Calculate x.
-1/3, 3, 29
Let x = 74310 + -74308. Factor 1/3*t**x + 4 - 7/3*t.
(t - 4)*(t - 3)/3
Let q(t) be the first derivative of -8*t**6/15 - 34*t**5/5 - 103*t**4/10 + 278*t**3/15 + 111*t**2/5 - 108*t/5 + 2952. What is k in q(k) = 0?
-9, -2, -1, 3/8, 1
Let t be (-2516)/(-37) + -54 + -13 + 1. Determine v so that -5 - 1/5*v**t + 26/5*v = 0.
1, 25
Suppose 4/9*d**5 - 64/9 - 4/3*d**4 + 0*d + 64/9*d**2 - 16/9*d**3 = 0. Calculate d.
-2, -1, 2
Let o(d) be the first derivative of 2*d**3 + 21/2*d**2 - 3*d**5 - 28 - 9/2*d**4 - 1/2*d**6 + 9*d. Suppose o(z) = 0. What is z?
-3, -1, 1
Let i(p) be the first derivative of -3/17*p**2 - 53 - 8/17*p + 2/51*p**3. Let i(o) = 0. Calculate o.
-1, 4
Let o(w) = w**3 + 8*w**2 - 3*w - 25. Let h be o(-8). Let l be h - (14 - 16)*14/4. Find d such that 6/5*d**3 - 36/5 - 2/5*d**4 + 14/5*d**2 - l*d = 0.
-2, -1, 3
Let h = 29024 - 29021. Let m(u) be the first derivative of 0*u + 3/4*u**4 - 3*u**h + 0*u**2 - 40. Suppose m(q) = 0. Calculate q.
0, 3
Let h(j) be the second derivative of 3/2*j**3 + 3*j + 0*j**2 - 1/2*j**4 + 59 + 3/80*j**5. Factor h(k).
3*k*(k - 6)*(k - 2)/4
Let h(p) = -146*p**3 + 125*p**2 + 283*p + 54. Let k(t) = 290*t**3 - 250*t**2 - 565*t - 110. Let s(y) = 5*h(y) + 3*k(y). Factor s(o).
5*(o - 2)*(4*o + 1)*(7*o + 6)
Let d = 74006/480025 + -12/36925. Find n, given that -6/13*n**3 - 16/13 + d*n**4 + 24/13*n - 4/13*n**2 = 0.
-2, 1, 2
Let m = -448 - -479. Solve 0 - 45*f**3 + m*f + 2 + 3 + 14*f - 30*f**2 + 1 + 24*f**4 = 0.
-1, -1/8, 1, 2
Let l(m) be the second derivative of -12*m**2 - 1/10*m**5 - 2*m + 41 + 1/15*m**6 - 13/6*m**4 + 25/3*m**3. Let l(u) = 0. What is u?
-4, 1, 3
Solve 464 - 514*l + 49*l**2 + 580*l**3 - 34*l**3 - 545*l**3 = 0.
-58, 1, 8
Suppose 116*j - 388 = 19*j. Find d such that 0 - 6/11*d**j - 18/11*d**2 + 30/11*d**3 - 54/11*d = 0.
-1, 0, 3
Let 69620*b + 126*b**3 + 20*b**3 - 36431*b**2 + 2804*b**4 - 2799*b**4 + 107231*b**2 + 1039*b**3 = 0. Calculate b.
-118, -1, 0
Let s(p) be the first derivative of 5*p**6/6 - 18*p**5 + 585*p**4/4 - 1600*p**3/3 + 750*p**2 + 3217. What is m in s(m) = 0?
0, 2, 5, 6
Let t be ((-3144)/(-264) + -13)/((-3)/((-30)/(-1))). Determine i, given that 42/11*i**3 - 42/11*i**4 - t + 114/11*i**2 + 6/11*i**5 - 96/11*i = 0.
-1, 2, 5
Let d(o) be the first derivative of -1/9*o**3 - 8/3*o + o**2 - 60. Determine l, given that d(l) = 0.
2, 4
Let h(y) = -4*y**4 + 25*y**3 + 110*y**2 + 141*y + 57. Let k(o) = 2*o**4 - 26*o**3 - 108*o**2 - 138*o - 56. Let c(g) = 2*h(g) + 3*k(g). Factor c(z).
-2*(z + 1)**2*(z + 3)*(z + 9)
Let x be 176/(-18) - (4/24 - (-7442)/(-732)). Let x*a**2 - 8/3 + 22/9*a = 0. Calculate a.
-12, 1
Let 1672/9 + 4/9*r**3 - 2500/9*r + 824/9*r**2 = 0. Calculate r.
-209, 1, 2
Let n(p) be the third derivative of p**8/13440 - p**7/2240 + p**6/960 - p**5/960 + 23*p**3/6 + 188*p**2. Let r(g) be the first derivative of n(g). Factor r(m).
m*(m - 1)**3/8
Let j(c) = 25*c**2 + 3716*c + 3711. Let o(x) = -20*x**2 - 3717*x - 3712. Let h(y) = 3*j(y) + 4*o(y). What is l in h(l) = 0?
-743, -1
Let s(c) = c**3 - 41*c**2 - 38*c - 156. Let n be s(42). Let o(w) be the second derivative of 2*w**3 + n*w**2 + 14*w + 0 + 1/8*w**4. Find r such that o(r) = 0.
-4
Let s(g) = 10*g**3 - 62*g**2 + 6*g + 66. Let w(p) = 7*p**3 - 63*p**2 + 5*p + 66. Let i(k) = -3*s(k) + 4*w(k). Let i(y) = 0. What is y?
-33, -1, 1
Suppose 3 = -y, -4*r + y = -31 + 8. Let -10*j**2 + r*j + 15*j**2 - 30*j = 0. Calculate j.
0, 5
Suppose 276*d - 285*d = -54. Factor -2*b**3 + b - d*b**2 - 14*b**2 - 5*b - 14*b.
-2*b*(b + 1)*(b + 9)
Suppose 0 = -5*j + 12 + 3. Suppose 167*a - 48*a + 122*a + 2*a = -207*a. Solve -1/2*k**j + 0*k + 0 + a*k**2 + 1/2*k**4 = 0 for k.
0, 1
Let q(h) be the first derivative of -2*h**3/9 - 82*h**2/3 - 2569. Let q(u) = 0. Calculate u.
-82, 0
Let w = 883 + -848. Let c(y) be the first derivative of -75/4*y**4 - 3*y - 33/2*y**2 + 18 - w*y**3. Factor c(r).
-3*(r + 1)*(5*r + 1)**2
Let r(t) be the second derivative of -t**7/840 + t**6/10 - t**4/6 - 47*t**2/2 - 4*t - 29. Let l(g) be the third derivative of r(g). Suppose l(m) = 0. What is m?
0, 24
Let z(i) = -9*i**3 - 30*i**2 + 2607*i - 2196. Let b(k) = -19*k**3 - 61*k**2 + 5276*k - 4390. Let f(r) = -6*b(r) + 13*z(r). Factor f(g).
-3*(g - 23)*(g - 1)*(g + 32)
Let n(y) = -47*y**2 - 33 + 262*y - 46*y - 7*y**3 - 66*y - 63. Let x(h) = -6*h**3 - 46*h**2 + 148*h - 96. Let a(d) = -4*n(d) + 5*x(d). Factor a(t).
-2*(t - 2)*(t - 1)*(t + 24)
Let f be 196/(-245) - 2/(15/(-36) - 0). Factor 0*l + 4/3*l**f - 8/3*l**3 + 0 + 2/3*l**5 - 16/3*l**2.
2*l**2*(l - 2)*(l + 2)**2/3
Solve -87/5*n + 12/5 + 138/5*n**2 - 63/5*n**3 = 0 for n.
4/21, 1
Let y(c) be the second derivative of 25*c**7/49 + 277*c**6/14 + 1377*c**5/70 - 737*c**4/28 - 106*c**3/7 + 162*c**2/7 + 20*c + 2. Let y(x) = 0. What is x?
-27, -1, -1/2, 2/5
Let f(k) be the first derivative of -k**5/25 - 3*k**4/10 + 3*k**3/5 + 7*k**2/5 - 4809. Factor f(w).
-w*(w - 2)*(w + 1)*(w + 7)/5
Let b be (-18 - (-624)/32) + 8/78*(-549)/(-24). Determine l, given that 782/13*l**2 - 346/13*l**3 + 248/13 - 736/13*l + b*l**4 + 2/13*l**5 = 0.
-31, 1, 2
Suppose -13 - 31 = -22*u. Suppose 5*r**u + 6300 - 32681*r - 2380 + 32401*r = 0. What is r?
28
Let r(n) = n**2 - 666*n + 28227. Let a = 773 - 769. Let k(o) = -664*o + 28228. Let t(y) = a*r(y) - 3*k(y). Factor t(x).
4*(x - 84)**2
Find p such that -42 - 5*p + 9 + 19*p + 226*p**2 - 227*p**2 = 0.
3, 11
Factor 210*p**3 + 117*p - 84*p**2 + 6 - 492*p - 60*p**4 + 5*p**5 - 6 - 16*p**2.
5*p*(p - 5)**2*(p - 3)*(p + 1)
Suppose -152/7 - 44/7*x**2 - 28*x = 0. What is x?
-38/11, -1
Let z(s) be the third derivative of -s**7/10 - s**6/20 + 8*s**5/5 + 1217*s**2. Determine i so that z(i) = 0.
-16/7, 0, 2
Suppose 335 + 865 - 125*s**3 - 3*s**4 + 270*s - 2*s**4 - 460*s**2 + 261*s + 329*s = 0. What is s?
-20, -6, -1, 2
Let t be (13 - 18)*(-12)/10. Suppose t*u = -u + 14. Let 6 + 5*w - 3 - u + 3 + w**2 = 0. What is w?
-4, -1
Solve 0 + 4/3*y**3 + 352/3*y**2 + 688/3*y = 0.
-86, -2, 0
Let f(l) be the second derivative of 140*l + 0 - 2/39*l**3 - 22/273*l**7 - 7/78*l**4 + 0*l**2 + 7/195*l**6 + 12/65*l**5. Suppose f(q) = 0. Calculate q.
-1, -2/11, 0, 1/2, 1
Let s(l) be the first derivative of 2*l**3/27 - 95*l**2/9 - 88*l - 602. Find a, given that s(a) = 0.
-4, 99
Let t(k) be the third derivative of -k**6/150 + 7*k**5/75 + 2*k**4/15 - 56*k**3/15 + 1584*k**2. Determine m, given that t(m) = 0.
-2, 2, 7
Let k be 56/7*-6*5/(-1980). Let d(r) be the first derivative of 16 - k*r**3 + 6/55*r**5 - 1/33*r**6 - 1/11*r*