/5 + 25*d**4/4 - 157*d**3/6 - 517*d**2/8 - 103*d/2 - 4354. Determine i, given that l(i) = 0.
-103, -1, 2
Solve 2128*a**4 - 13177*a**2 - 98*a**5 + 32580*a**2 - 239144*a**3 + 17461*a**2 + 223784*a**3 = 0 for a.
0, 48/7, 8
Let 54*w**3 + 492*w**2 + 1136 + 4024/3*w + 2/3*w**4 = 0. Calculate w.
-71, -6, -2
Let 20*s - 6*s**4 - 5*s**3 - 5*s**2 + 5*s**4 - 8 - 19 + 3 + 15*s**2 = 0. Calculate s.
-6, -2, 1, 2
Let f = 981174/7 + -140160. Factor -12 + 6/7*x**3 + 36/7*x**2 - f*x.
6*(x - 2)*(x + 1)*(x + 7)/7
Suppose -40*w = -t - 37*w - 12, -4*t = -w - 7. Let r = 8 + -6. Factor -15/4*i**t - 9/2*i**r + 6 - 3/4*i**4 + 3*i.
-3*(i - 1)*(i + 2)**3/4
Let x(o) be the third derivative of -o**6/300 - o**5/150 + o**4/5 + 480*o**2. Find q, given that x(q) = 0.
-4, 0, 3
Let k be 4*(38/(-20) + 2). Let w = 16811/10170 - -299/2034. Factor 9/5*m**3 + k - 2/5*m**2 - w*m.
(m - 1)*(m + 1)*(9*m - 2)/5
Let j(d) be the second derivative of -d**7/210 - 4*d**6/15 - 21*d**5/4 - 75*d**4/2 + 78*d - 22. Factor j(b).
-b**2*(b + 10)*(b + 15)**2/5
Suppose 79 - 2580*a**3 + 190*a**4 + 35*a**5 + 2780*a**3 - 79 = 0. Calculate a.
-4, -10/7, 0
Let z(d) be the first derivative of d**6/24 - 3*d**5/10 - 39*d**4/16 - 4*d**3/3 + 15*d**2/2 - 1412. Let z(y) = 0. What is y?
-3, -2, 0, 1, 10
Factor 751 - 20*o**3 - 72*o**2 - 4*o**4 + 2*o**4 - 108*o - 419 - 386.
-2*(o + 1)*(o + 3)**3
Let 29371*m**2 + 8858*m**2 + 8458*m**2 + 19916*m**2 + 894*m**3 + 3*m**4 = 0. What is m?
-149, 0
Let b(x) = 2*x**2 + 475*x - 51529. Let y(u) = 3*u**2 + 482*u - 51529. Let l(z) = 4*b(z) - 3*y(z). Factor l(d).
-(d - 227)**2
Let j(i) be the third derivative of i**5/20 + 4*i**4 - 105*i**3/2 + 8163*i**2. What is c in j(c) = 0?
-35, 3
Let m = 148 - 146. Suppose d + 0 - 8 = -3*g, 3*d - 3*g = 0. Factor -m*u - 2 + d*u + 2*u**2.
2*(u - 1)*(u + 1)
Suppose 5*z - 31 = -3*q, -5*z + 4*q - 35 + 17 = 0. Let 24/5 - 4/5*v**z - 4*v = 0. Calculate v.
-6, 1
Let w be (2/6)/((5/12)/5). Determine j so that -20511149 + 3536405*j - 137*j**5 + 138*j**5 - 183876*j**2 + 8410*j**3 - 145*j**w - 60014*j**2 = 0.
29
Let h(n) be the second derivative of n**7/84 + n**6/4 + 23*n**5/20 - 4*n**4 - 32*n**3/3 - 5919*n. Factor h(m).
m*(m - 2)*(m + 1)*(m + 8)**2/2
Suppose 5*k + 2*w + 351 = 371, 2*k + 5*w = 8. Let r(l) be the second derivative of -15*l - 1/18*l**k - 25/3*l**2 + 0 - 10/9*l**3. Factor r(c).
-2*(c + 5)**2/3
Let o be 96/165 - (-2)/(-5). Let u = 208/27 - 2180/297. Let -2/11*r**5 + 0*r**3 + o*r + 0 - 4/11*r**2 + u*r**4 = 0. Calculate r.
-1, 0, 1
Factor 56 - 96*h + 72*h**2 + 12*h**3 + 3*h**4 - 36*h**3 + 94 - 102.
3*(h - 2)**4
Factor 81/5*w**3 - 1/5*w**4 - 420*w**2 + 65856/5 + 14896/5*w.
-(w - 28)**3*(w + 3)/5
Factor 764269350625/6 - 3266978825/3*s**2 - 1/3*s**5 - 5243480/3*s**3 - 2493/2*s**4 - 254211516625*s.
-(s + 935)**4*(2*s - 1)/6
Let w be 354/27*42 + 2/(-3). Let t = w + -550. Factor -1/2*o**3 - o**2 + t - 1/2*o.
-o*(o + 1)**2/2
Let l(s) be the second derivative of 484/21*s**3 + 90*s + 0*s**2 - 22/21*s**4 + 0 + 1/70*s**5. Factor l(v).
2*v*(v - 22)**2/7
Let s(g) = 2 + 3 - 6*g**2 + 7*g**2 - g - 5*g**2. Let m(y) = -y**2 + y. Suppose 5 = -u - h + 3, 5*h = 3*u - 18. Let w(c) = u*s(c) - 3*m(c). Factor w(l).
-(l - 1)*(l + 5)
Let r be (119/306*6)/((-21)/(-135)) + -10. Determine v, given that 1 + v**2 + 5/2*v - 1/2*v**r - 2*v**3 - 2*v**4 = 0.
-2, -1, 1
Let y(s) be the third derivative of -s**5/15 - 19*s**4/2 + 116*s**3/3 + 3*s**2 + 502*s. Factor y(w).
-4*(w - 1)*(w + 58)
Let n = 1025 - 1121. Let l be (n/90)/16 - 3/(-15). Factor -l*f**3 + 6/5*f**2 + 32/15 - 16/5*f.
-2*(f - 4)**2*(f - 1)/15
Let s(m) = -m**3 - 35*m**2 + 74*m + 99. Let h(t) = t**3 + 34*t**2 - 73*t - 100. Let i(r) = 6*h(r) + 4*s(r). Factor i(x).
2*(x - 3)*(x + 1)*(x + 34)
Suppose -7 = 2*h - 17. Let t be 39/104 - h/20. Factor -1/8*u**3 + t*u + 5/8*u**2 - 5/8.
-(u - 5)*(u - 1)*(u + 1)/8
Let v = -227077 + 1589542/7. Factor -12/7*n - 15/7 + v*n**2.
3*(n - 5)*(n + 1)/7
Let n(v) be the first derivative of -3/32*v**4 + 3/8*v + 3/16*v**2 - 1/8*v**3 + 79. Factor n(f).
-3*(f - 1)*(f + 1)**2/8
Let i be 575/(-207)*((-78)/105 - (-2)/14). Let r(m) be the second derivative of 0 - 12*m + 0*m**2 + i*m**3 - 5/12*m**4. Solve r(u) = 0.
0, 2
Let a(b) = -22*b + 285 + 44 + 154 + 61*b - 89. Let c be a(-10). Find z, given that 2*z**c - 34/7*z**2 + 0 + 32/7*z**3 - 12/7*z = 0.
-3, -2/7, 0, 1
Let i(l) = 6*l - 1. Let c(g) = -7*g + 1. Let h(w) = -4*c(w) - 5*i(w). Let v(j) = 16*j**2 - 752*j + 190. Let q(n) = -6*h(n) + v(n). Factor q(k).
4*(k - 46)*(4*k - 1)
Let n(m) = 2*m**2 - 10*m - 7. Let j be n(6). Suppose 5*y = 4*y + 4*p, -j*p + 17 = 3*y. Solve -5*i**3 - 78*i**y + 20*i - 20*i**2 + 171*i**4 - 88*i**4 = 0.
-2, 0, 1, 2
Let r(o) = o**2 - o + 10. Let k(b) = -5*b**2 + 913*b - 918. Let v(x) = k(x) + r(x). Factor v(p).
-4*(p - 227)*(p - 1)
Let y(l) be the first derivative of l**6/12 + 2*l**5/5 + l**4/2 - l**3/3 - 5*l**2/4 - l + 710. Factor y(n).
(n - 1)*(n + 1)**3*(n + 2)/2
Let k(n) be the first derivative of -2*n**3/3 - 1234*n**2 - 761378*n + 1218. Factor k(q).
-2*(q + 617)**2
Factor 1/3*m**2 + 44 + 68/3*m.
(m + 2)*(m + 66)/3
Let l be ((-1270)/1524)/(10/(-4))*48/10. Find s such that l*s**3 + 28/5*s**4 + 4/5 - 32/5*s**2 + 8/5*s - 16/5*s**5 = 0.
-1, -1/4, 1
Let y(t) = -t**3 + 7*t**2 - 8*t + 15. Let l be y(6). Suppose -s - 2*z = -2, 0 = 80*s - 81*s + l*z - 3. Factor 6*v**2 + s*v + 3/2*v**5 + 12*v**3 + 0 + 15/2*v**4.
3*v**2*(v + 1)*(v + 2)**2/2
Let x(j) be the first derivative of 4/3*j**3 - 13/2*j**2 + 3*j + 33. Factor x(v).
(v - 3)*(4*v - 1)
Factor -13077*y - 100 + 5*y**2 + 6537*y + 6545*y.
5*(y - 4)*(y + 5)
Let o(l) be the second derivative of 17*l**5/10 - 29*l**4/3 - 47*l**3/3 + 28*l**2 - 17*l - 55. Factor o(y).
2*(y - 4)*(y + 1)*(17*y - 7)
Let c(y) be the first derivative of y**3/12 - 161*y**2/4 + 25921*y/4 + 2583. Determine x so that c(x) = 0.
161
Let y(o) be the third derivative of 1/224*o**8 - 1/8*o**6 + 0*o - 10 - 9/140*o**7 + 0*o**5 + 0*o**3 + 3*o**2 + 0*o**4. Factor y(s).
3*s**3*(s - 10)*(s + 1)/2
Let v(s) = 7*s**3 - 1409*s**2 + 3186*s - 398. Let f be v(199). Factor 2/11*o**2 + f - 30/11*o.
2*o*(o - 15)/11
Let j = -283885 + 283887. Factor 0 + 3/2*z**j - 15/2*z.
3*z*(z - 5)/2
Let v(u) be the second derivative of -3*u**5/40 - 25*u**4/2 + 9634*u. Factor v(s).
-3*s**2*(s + 100)/2
Let f(i) = 15*i**3 - 4*i**2 - i. Let y(k) = -152*k**3 + 178*k**2 - 878*k + 1240. Let n(a) = 20*f(a) + 2*y(a). Factor n(h).
-4*(h - 62)*(h - 5)*(h - 2)
Find y, given that 6574*y**3 + 166*y - 80 + 165*y**4 - 6914*y**3 + 194*y - 85*y**2 - 20*y**5 = 0.
-1, 1/4, 1, 4
Let x(g) be the first derivative of -g**5 + 5*g**4/4 + 70*g**3/3 - 60*g**2 - 2036. Solve x(l) = 0 for l.
-4, 0, 2, 3
Let y(n) = -27*n**2 + 3*n - 2. Let m be y(1). Let f = m - -31. Factor 5*x**2 + 0*x**2 + f*x**3 + 1 - 1.
5*x**2*(x + 1)
Find l such that -18580*l**3 - 3*l - 21*l + 27 + 147*l**2 - 87 + 18652*l**3 = 0.
-2, -2/3, 5/8
Let x be ((4488/(-36))/17 - -7)*-6. Let d(s) be the first derivative of 34 + 9/2*s**2 + 0*s - 1/6*s**6 - x*s**3 + 6/5*s**5 - 2*s**4. Solve d(o) = 0 for o.
-1, 0, 1, 3
Suppose 5*b + 3287 = 9662. Let j = 1277 - b. Determine n so that -23/6*n - 25/6*n**j + 1/3 = 0.
-1, 2/25
Let w(i) be the first derivative of 5*i**8/336 + i**7/14 + i**6/12 + 2*i**2 - i + 47. Let j(t) be the second derivative of w(t). Suppose j(o) = 0. What is o?
-2, -1, 0
Suppose -4*h + 8*h = 4*s - 3044, 0 = -h - 5*s - 785. Let b be 96/(-176) - h/132. Factor -3/4 - 13/4*x - b*x**2 - 15/4*x**3 - x**4.
-(x + 1)**3*(4*x + 3)/4
Suppose -11*k + 5494 = -314. Let j = 530 - k. Factor 4/9 + 2/9*y**j - 2/3*y.
2*(y - 2)*(y - 1)/9
Let n(i) be the second derivative of -2*i**4 + 2/15*i**6 - 16/3*i**3 + 0*i**2 + 0 + 3/5*i**5 + 30*i. Factor n(c).
4*c*(c - 2)*(c + 1)*(c + 4)
Suppose 9*q = 33*q. Suppose 21*p + p - 44 = q. Let 3/4*f**5 + 11/4*f**4 + 9/4*f**p + 0 + 15/4*f**3 + 1/2*f = 0. Calculate f.
-1, -2/3, 0
Let z(t) be the second derivative of 0 - 1/36*t**4 + 13/6*t**2 - 2/3*t**3 + 36*t. Factor z(b).
-(b - 1)*(b + 13)/3
Factor -8 - 14/3*q**2 - 32/3*q - 2/3*q**3.
-2*(q + 2)**2*(q + 3)/3
Let i(h) be the second derivative of h**4/54 - 74*h**3/27 - 25*h**2/3 + 5*h + 178. Factor i(n).
2*(n - 75)*(n + 1)/9
Let o(g) be the second derivative of g**5/35 - 38*g**4/3 + 2104*g**3/21 - 2096*g**2/7 - 3*g + 26. Factor o(v).
4*(v - 262)*(v -