0 - 19*q**4/108 - 34*q**3/27 + 71*q**2 + 238. Let u(z) be the second derivative of p(z). What is o in u(o) = 0?
-17, -2
Let a(g) be the second derivative of -g**7/210 + 13*g**6/90 + g**3/3 + 9*g**2 - 58*g. Let n(l) be the second derivative of a(l). Solve n(d) = 0 for d.
0, 13
Let u(d) = -d**3 - 2*d**2 + 3*d + 3. Suppose -7*l + 4*l = 9. Let r be u(l). Factor r + w + w**2 + 0 - 12 + 7.
(w - 1)*(w + 2)
Let s(g) be the third derivative of -g**6/30 + 19*g**5 - 9025*g**4/2 + 1714750*g**3/3 + 302*g**2. Let s(n) = 0. Calculate n.
95
Determine u, given that 856/9*u - 8/3 + 434/9*u**2 = 0.
-2, 6/217
Let q(y) = -2*y**3 - 8*y**2 - 3*y. Let r(z) = -5*z - 33*z**2 - 3*z**3 + 0*z**3 + 18*z**2. Let v(a) = -5*q(a) + 3*r(a). Factor v(k).
k**2*(k - 5)
Let g = -81979/42 + 1952. Let y(j) be the second derivative of 0 - 1/3*j**3 + 3/7*j**2 - 1/70*j**5 + g*j**4 + 16*j. Factor y(o).
-2*(o - 3)*(o - 1)**2/7
Let u(v) be the third derivative of 0*v + 0 + 0*v**4 + 0*v**3 + 1/15*v**5 - 46*v**2 + 7/60*v**6. Factor u(s).
2*s**2*(7*s + 2)
Let h(a) = -2*a**3 - 8*a**2 + 23*a - 3. Let d be h(-6). Let i(z) be the second derivative of -2/15*z**d - 1/15*z**4 + 0*z**2 + 0 + 32*z. Factor i(t).
-4*t*(t + 1)/5
Let p(o) be the first derivative of -2*o**3/3 - 23*o**2 - 41*o + 13. Let j be p(-22). Suppose 0 + 6/7*x**2 + j*x**3 + 0*x + 3*x**4 + 6/7*x**5 = 0. What is x?
-2, -1, -1/2, 0
Let b = -151821 - -151823. Suppose -12/19*z**3 + 28/19*z + 6/19 + 26/19*z**b = 0. Calculate z.
-1/2, -1/3, 3
Let c(a) be the third derivative of -a**6/160 - 333*a**5/40 + 1335*a**4/32 - 167*a**3/2 + 3*a**2 - 19*a + 56. Find q, given that c(q) = 0.
-668, 1
Let q = -2/2641 + 15856/13205. Let d = 1078 + -5368/5. Find u such that 2/5*u**5 - 24/5*u - 2/5*u**3 + d*u**2 + 8/5 - q*u**4 = 0.
-2, 1, 2
Let h(z) be the first derivative of -27*z - 9/2*z**2 + 1/4*z**4 + 38 + z**3. Determine l, given that h(l) = 0.
-3, 3
Let i(c) = 364*c - 8372. Let s be i(23). What is x in 3/2*x**3 - x**2 + 0*x - 1/2*x**4 + s = 0?
0, 1, 2
Let y be (60/(-14) - -4)/((-2)/1571). Let z = 225 - y. Solve -16/7*o - 16/7 - z*o**2 = 0.
-2
Let a(z) be the first derivative of -1496*z**3/9 + 179*z**2/3 + 4*z/3 + 1219. Factor a(r).
-2*(4*r - 1)*(187*r + 2)/3
Determine n so that -5/2*n**4 + 0*n + 10*n**2 - 1/4*n**5 + 0 + n**3 = 0.
-10, -2, 0, 2
Let o = -108 + 60. Let a be (9/3)/18 + (-88)/o. Factor 28/9*f**a - 4/3 + 16/9*f.
4*(f + 1)*(7*f - 3)/9
Let q = -238/205 + 151/123. Let w(x) be the third derivative of 0*x**3 + 1/60*x**6 + 0*x - 43*x**2 + q*x**5 + 0 + 1/12*x**4. Factor w(c).
2*c*(c + 1)**2
Let c = -224 - -227. Find w, given that 18*w**3 + 15*w**c - 2*w + 1 - w**4 - 31*w**3 = 0.
-1, 1
Let j = -3262539/11 - -296595. Suppose -2/11 + j*w**2 - 4/11*w = 0. What is w?
-1/3, 1
Let i(o) = 67*o**2 - 20*o + 47. Let y(n) = 6*n**2 + n - 1. Let m(z) = -5*i(z) + 55*y(z). Determine q so that m(q) = 0.
2, 29
Suppose -2/7*n**4 - 54*n - 30/7*n**3 - 324/7 - 162/7*n**2 = 0. Calculate n.
-6, -3
Determine k, given that -804*k**2 + 1600*k - 529*k**3 + 1121*k**3 - 590*k**3 = 0.
0, 2, 400
Suppose 2*u - 290 = -4*i, 86 = -i + 2*i - 4*u. Suppose 698 = 121*g - 1359. Factor -i*q + 648*q**4 - 118 + 121 + 378*q**2 - 972*q**3 + g*q.
3*(q - 1)*(6*q - 1)**3
Let b(s) be the first derivative of -14/3*s**3 + 0*s - 4*s**2 + 35 - 7/4*s**4 - 1/5*s**5. Factor b(a).
-a*(a + 1)*(a + 2)*(a + 4)
Factor 0*a**2 - 4*a**4 + 122*a**2 + 22*a**2 + 1785*a**3 - 1849*a**3.
-4*a**2*(a - 2)*(a + 18)
Find r, given that 16/19*r**3 + 6/19*r**4 + 2/19*r**2 - 8/19 - 16/19*r = 0.
-2, -1, -2/3, 1
Let c(a) be the first derivative of a**6/3 - 2*a**5 + 40*a**3/3 - 16*a**2 - 1583. Suppose c(g) = 0. Calculate g.
-2, 0, 1, 2, 4
Let w(h) be the first derivative of -h**3/5 - 3453*h**2/5 - 3974403*h/5 - 445. Factor w(g).
-3*(g + 1151)**2/5
Let a(t) be the third derivative of t**7/2100 + t**6/450 - t**5/60 - t**4/10 + 85*t**3/6 - 15*t**2. Let m(k) be the first derivative of a(k). Factor m(h).
2*(h - 2)*(h + 1)*(h + 3)/5
Let o(c) be the second derivative of -5/12*c**4 + 81*c - 25/2*c**2 + 5*c**3 + 0. Determine w, given that o(w) = 0.
1, 5
Let d(z) be the third derivative of -4/45*z**5 + 5/9*z**3 - 27*z**2 - 1/12*z**4 + 0*z - 3. Determine i, given that d(i) = 0.
-1, 5/8
Let i(o) be the third derivative of 7*o**5/33 + 19*o**4/44 + 3*o**3/11 - 5*o**2 - 4. Find s, given that i(s) = 0.
-3/5, -3/14
Let y be (8/(-10))/(-1*(-3)/30). Let t = y + 8. Factor t*a**3 - 3*a - 5*a**2 + 3*a**3 + 2*a**2 + 3.
3*(a - 1)**2*(a + 1)
Factor 75/8*m**2 + 57/4*m + 3/8*m**3 - 69.
3*(m - 2)*(m + 4)*(m + 23)/8
Determine b so that 648/7*b**2 + 90*b**3 - 417/7*b - 180/7 - 636/7*b**4 - 45/7*b**5 = 0.
-15, -4/5, -1/3, 1
Let c(b) = -b**3 - b**2 - b + 5. Let l(g) = 48*g**3 - 660*g**2 + 4816*g - 7844. Let m(w) = 20*c(w) + l(w). Let m(o) = 0. Calculate o.
16/7, 11
Factor 31*a - 32*a**3 + 41*a**2 + 16 + 27*a**2 + a**5 - 14*a**4 - 70*a**2.
(a - 16)*(a - 1)*(a + 1)**3
What is t in -196/3*t - 1/3*t**2 + 0 = 0?
-196, 0
Let t(i) be the third derivative of i**8/252 + 2*i**7/63 - 19*i**6/90 - 13*i**5/9 + 25*i**4/3 - 18*i**2 + 3*i + 4. Suppose t(r) = 0. Calculate r.
-5, 0, 2, 3
Let z(q) = 7*q**3 - 126*q**2 + 226*q - 127. Let f(d) = -3*d**3 + 62*d**2 - 113*d + 62. Let b(k) = -5*f(k) - 2*z(k). Find s, given that b(s) = 0.
1, 56
Let n(g) be the third derivative of -g**6/45 - 83*g**5/60 + 7*g**4/4 + 56*g**3/3 + 85*g**2. Let k(u) be the first derivative of n(u). Factor k(d).
-2*(d + 21)*(4*d - 1)
Let 0 - 6*z**3 + 2/11*z**4 + 510/11*z**2 - 1150/11*z = 0. Calculate z.
0, 5, 23
Let n(y) = -72*y**3 + 2365*y**2 + 223*y + 42. Let w(g) = 140*g**3 - 4731*g**2 - 445*g - 78. Let q(f) = 13*n(f) + 7*w(f). Factor q(k).
4*k*(k - 54)*(11*k + 1)
Let n be -22 + (-19 - 45/(3105/(-2944))). Factor -2 + n*r + 2/3*r**2 - 1/3*r**3.
-(r - 3)*(r - 1)*(r + 2)/3
Let v be 82/(-861) + 164/(-42). Let d be 36/(-14)*(v - 18/(-8)). Factor d*h**2 + 3/2*h + 0 + 9/2*h**3 + 3/2*h**4.
3*h*(h + 1)**3/2
Let f be -2*(-5)/(-70) + (-925)/(-7). Let p be 12/42 + f/77. Suppose -3/5*a**p + 6/5*a + 9/5 = 0. What is a?
-1, 3
Suppose -3*r**2 + 2752146*r**3 + 0*r**2 + 3 - 2752145*r**3 - r = 0. Calculate r.
-1, 1, 3
Let q(m) = 25*m**2 - 234*m + 149. Let b(v) = -19*v**2 + 2*v - 1. Let c(f) = -3*b(f) + q(f). Factor c(w).
2*(w - 2)*(41*w - 38)
Suppose -2/5*q**4 + 2/5 - 4/5*q**3 + 4/5*q + 0*q**2 = 0. What is q?
-1, 1
Suppose -670029*y**2 - 12*y**3 - 800*y - 1600 + 670393*y**2 - 4*y**3 = 0. Calculate y.
-5/4, 4, 20
What is j in -2661/7*j**3 - 432/7*j + 3978/7*j**2 - 17/7*j**5 + 0 + 512/7*j**4 = 0?
0, 2/17, 3, 24
Suppose 8*m - 7 - 9 = 0. What is i in 116*i**5 + 7*i**2 - 6*i**4 - 119*i**5 - 3*i + 5*i**m - 6 + 6*i**3 = 0?
-2, -1, 1
Suppose 11*i - 6*i + 4*k - 16461 = 0, 3*k = 5*i - 16433. Factor 73*j - 3220 + i - 7*j - 3*j**2.
-3*(j - 23)*(j + 1)
Let z(g) be the second derivative of -25 + g + 5/3*g**3 - 1/6*g**4 + 0*g**2. Factor z(k).
-2*k*(k - 5)
Let t = 118 - 115. Let b(v) = -25*v**3 - 20*v**2 + 15*v + 20. Let m(l) = -8*l**3 - 7*l**2 + 5*l + 7. Let o(c) = t*b(c) - 10*m(c). Find n such that o(n) = 0.
-2, -1, 1
Suppose -4*h = 4*i - 48, 2*i - 17*h + 15*h = 40. Suppose 30 = -10*v + i*v. Solve 3/2*o**4 + 0*o**2 + 0 + 0*o**3 - 3/2*o**v + 0*o = 0.
0, 1
Let z be 0*(22 - 30)/(-16). Solve -8/3*x**4 + 0*x**2 + 1/6*x**5 + 32/3*x**3 + z*x + 0 = 0 for x.
0, 8
Factor 0 - 3/7*j**3 - 18/7*j + 3*j**2.
-3*j*(j - 6)*(j - 1)/7
Let r(m) = 30*m**2 - 28746*m - 6393. Let s(q) = -q**2 - q + 1. Let j(z) = -r(z) - 3*s(z). Factor j(g).
-3*(g - 1065)*(9*g + 2)
Factor 1/3*g**3 + 16/3*g**2 - 37*g - 42.
(g - 6)*(g + 1)*(g + 21)/3
Determine d, given that 9798/7*d + 2/7*d**3 + 282/7*d**2 - 10082/7 = 0.
-71, 1
Let h(y) be the third derivative of y**5/420 - 17*y**4/84 + 145*y**3/42 + y**2 + 14*y - 6. Factor h(a).
(a - 29)*(a - 5)/7
Let u be ((-3)/(-4))/((-9*(-12)/360)/2). Let t(c) be the first derivative of 8 - 40*c + 5/3*c**3 + u*c**2. Factor t(j).
5*(j - 2)*(j + 4)
Suppose -4*r - 37 = -3*r - 5*h, -r + 3 = 3*h. Let i be (r/(-15))/((-2)/(-10)). Factor -5*c**5 + c**4 + 0*c**4 - c**i - 5*c**4.
-5*c**4*(c + 1)
Let j(v) be the first derivative of v**4/6 - 178*v**3/9 + 86*v**2/3 + 352*v/3 + 5679. Solve j(r) = 0 for r.
-1, 2, 88
Let a(z) be the second derivative of 22*z + 11/140*z**6 + 2/15*z**5 + 11*z**2 + 0*z**3 + 0 + 1/21*z**4. Let c(q) be the first derivative of a