+ 5*z**2 - z - 2. Let k be v(3). Factor 20*r + 104 + r**2 + 19*r - 20*r + k + 29*r.
(r + 24)**2
Suppose -60 = -5*a, 17*a = 17*o - 36*o + 22*o + 195. Factor 0 + 0*j - 5/6*j**2 + 1/6*j**o.
j**2*(j - 5)/6
Let -241*q + 30*q**2 - 10*q**2 - 4*q**3 + 624 - 16*q + 625*q = 0. Calculate q.
-6, -2, 13
Suppose 3*q - q + 3*q = 15. Let a(o) be the first derivative of 16 - 6*o - 1/2*o**q + 3*o**2. Factor a(f).
-3*(f - 2)**2/2
Factor -2/3*p**3 + 12*p**2 + 0 + 230/3*p.
-2*p*(p - 23)*(p + 5)/3
Let u(x) = 30*x**2 + 1133 - 183 + 867*x + 228*x + 35*x**2 - 105*x. Let c(z) = -8*z**2 - 124*z - 119. Let k(w) = 25*c(w) + 3*u(w). Factor k(l).
-5*(l + 1)*(l + 25)
Suppose -47*y + 370*y - 1176 = 123*y - 94*y. Solve 6612/5*n**2 + 8664*n + 13718/5 + 344/5*n**3 + 6/5*n**y = 0.
-19, -1/3
Let -13/7*n**2 + 8/7 + 5/7*n**4 + 6/7*n - 6/7*n**3 = 0. What is n?
-1, -4/5, 1, 2
What is h in -141/4*h**2 - 63/2*h**3 + 45/2*h + 99/4*h**4 - 3/2*h**5 + 0 = 0?
-1, 0, 1/2, 2, 15
Let x(h) = -5. Let n(d) = 23. Let s(q) = 2*n(q) + 9*x(q). Let z(k) = 2*k**2 - 10*k - 4. Let f(l) = 4*s(l) + z(l). Solve f(y) = 0.
0, 5
Suppose 108*r + 22 - 22 = 0. Let i(h) be the third derivative of 507/70*h**5 - 2197/280*h**6 + r*h - 39/14*h**4 - 7*h**2 + 0 + 4/7*h**3. Factor i(f).
-3*(13*f - 2)**3/7
Suppose -2833*j + 217 + 1856 + 2249 = -1344. Suppose 2/3*x**5 + 0*x - 2*x**4 + 350/3*x**j + 0 - 30*x**3 = 0. Calculate x.
-7, 0, 5
Determine i, given that -2016*i**2 + 5*i**4 + 3314*i - 2*i**4 + 204*i**3 + 5679*i**2 + 3220*i = 0.
-33, -2, 0
Factor 115*i**2 + 4*i**4 - 320*i**2 - 20*i**3 - 16 + 201*i**2 + 4*i**5 + 32*i.
4*(i - 1)**3*(i + 2)**2
Let c be ((-53)/((-14575)/(-250)))/(32/(-88)). Factor -1/4*p**2 - 4 - c*p.
-(p + 2)*(p + 8)/4
Let z be ((-18)/(-8))/(5/20) + -3. Suppose 2*i + 2 - z = 0. Determine u, given that 10*u**2 + 2*u**3 - 9*u**2 - 7*u**i + 4*u = 0.
0, 1, 2
Determine a, given that -482 - 5*a**2 + 3*a - a**3 + 273 - 5*a + 217 = 0.
-4, -2, 1
Let n = -17 - -16. Let a = n + 5. Solve a*u**3 + 2*u**5 - 7*u**4 - u**4 + 2*u**4 = 0 for u.
0, 1, 2
Suppose -2*o - 2*m = -8, 0 = -3*o - 33*m + 38*m + 12. Find n, given that -8*n**3 + 11456*n**4 - 11451*n**o - 6*n**2 + 7*n + 9*n - 7 = 0.
-7/5, 1
Determine x so that 239*x + 158 + 14*x**2 - 2883*x**3 + 1440*x**3 + 68*x**2 + 1444*x**3 = 0.
-79, -2, -1
Let h(i) be the first derivative of -13 + 0*i + 1/21*i**3 + 1/56*i**4 + 18*i**2 + 1/420*i**5. Let j(a) be the second derivative of h(a). Factor j(o).
(o + 1)*(o + 2)/7
Let f(g) be the second derivative of -g**7/735 + g**6/42 - 105*g**2 + 30*g. Let p(c) be the first derivative of f(c). Factor p(y).
-2*y**3*(y - 10)/7
Let o(c) be the first derivative of -c**5/20 - 5*c**4/4 + c**2/2 - 13*c - 85. Let u(h) be the second derivative of o(h). Factor u(m).
-3*m*(m + 10)
Let p = 41225/7 + -5889. Let u(q) be the first derivative of -3/4*q**4 - 12/35*q**5 - 18 + 0*q + p*q**3 + 0*q**2. Factor u(m).
-3*m**2*(m + 2)*(4*m - 1)/7
Suppose 463*k = -31109 + 33424. Determine f so that 8/7*f**4 + 0 + 6/7*f**k - 10/7*f**3 + 0*f - 4/7*f**2 = 0.
-2, -1/3, 0, 1
Let n = 683/174 - 73/58. Factor 20/3*b**3 - 67/3*b**2 - n - 50/3*b.
(b - 4)*(4*b + 1)*(5*b + 2)/3
Factor -632 - 5*p + 208 - 135*p - p - 356 + 3*p**2.
3*(p - 52)*(p + 5)
Factor 2/15*d**2 + 126/5 + 44/5*d.
2*(d + 3)*(d + 63)/15
Let g be 25 + 33/(8547/(-5143)). Factor -5*m**3 + 3/7*m**4 + 0 + 96/7*m**2 + g*m.
m*(m - 6)**2*(3*m + 1)/7
Find j such that 16/9 - 23/9*j**3 + 8/3*j - 7/9*j**2 - 1/9*j**5 - j**4 = 0.
-4, -1, 1
Let w = 12219 + -12215. Let u(t) be the second derivative of 5/12*t**w + 10*t + 5*t**3 + 0 + 45/2*t**2. Solve u(j) = 0 for j.
-3
Let b(u) = u**3 - 8*u**2 - 34*u - 3. Let j be b(11). Let c be ((13 - 2) + j)*(-6)/8. Factor -48 - 105/4*p**3 + c*p**4 + 99*p**2 - 108*p.
3*(p - 4)**3*(3*p + 1)/4
Let k = 673 + -667. Let b(f) be the third derivative of -3/2*f**4 + 0*f - 7*f**2 - 4/3*f**3 + 2/15*f**k + 0 - 1/5*f**5. Suppose b(i) = 0. Calculate i.
-1, -1/4, 2
Let v be 23 + 29 + 7 + -59. Let -12/5*r**2 + 2/5*r + v = 0. Calculate r.
0, 1/6
Determine k so that 1216/5*k**3 + 16448/3*k - 640 - 25768/5*k**2 + 986/15*k**4 + 2*k**5 = 0.
-20, 2/15, 1, 6
Let i = 5335/4282 + 544/2141. Factor 63/8 - 3/8*a**2 + i*a.
-3*(a - 7)*(a + 3)/8
Let -1065/4*d + 87*d**2 + 357/2 + 3/4*d**3 = 0. Calculate d.
-119, 1, 2
Let r(z) be the first derivative of -z**4/2 + 1378*z**3 - 1424163*z**2 + 654165538*z - 1657. Solve r(a) = 0 for a.
689
Suppose c + 7*z + 20 = 2*z, -5*z + 20 = -3*c. Let y be ((-64)/6)/(5*c/75). Find r, given that 14*r**3 - 8/3*r**4 - 74/3*r**2 + y*r - 8/3 = 0.
1/4, 1, 2
Let d(t) be the first derivative of t**3/6 + 223*t**2/2 + 1757. Factor d(k).
k*(k + 446)/2
Let k(a) be the third derivative of -216090*a**4 - 59049/112*a**8 + 111132*a**5 + 0*a + 268912*a**3 + 13*a**2 - 35721*a**6 + 0 + 6561*a**7. Factor k(f).
-3*(9*f - 14)**5
Let c(s) be the second derivative of -1/126*s**7 + 1/10*s**5 + 0*s**6 + 1/6*s**3 - 17*s - 1 - 2/9*s**4 + 0*s**2. Suppose c(z) = 0. Calculate z.
-3, 0, 1
Let k(x) be the first derivative of 45*x**2 - 33 - 108*x + 3/8*x**4 - 7*x**3. Factor k(g).
3*(g - 6)**2*(g - 2)/2
Let v(a) be the first derivative of -a**5/140 + a**4/4 - 45*a**3/14 + 243*a**2/14 + 53*a + 75. Let j(l) be the first derivative of v(l). Factor j(w).
-(w - 9)**2*(w - 3)/7
Let k(s) = s**4 + s**2. Let i(o) = o**2 + 0*o**3 - 2*o**4 + 14*o**4 - 24*o**3 + 4*o**5 + 7*o**2. Let m(d) = i(d) - 8*k(d). Factor m(q).
4*q**3*(q - 2)*(q + 3)
Let s(x) = -4*x + 4. Let u be s(1). Suppose -d + 15 - 3 = u. Suppose -d*v - 4*v - 10*v + 21*v + v**2 + 4 = 0. What is v?
1, 4
Let p(l) = -10*l**4 + 52*l**3 - 221*l + 137. Let z(x) = 8*x**4 - 52*x**3 - 4*x**2 + 222*x - 138. Let g(v) = -6*p(v) - 7*z(v). Factor g(f).
4*(f - 1)**2*(f + 3)*(f + 12)
Let n(o) be the third derivative of o**5/450 + 7*o**4/36 + 22*o**3/15 + 6*o**2 - 176*o. Solve n(h) = 0.
-33, -2
Suppose -t = -d + 543 - 551, -5*t - 20 = 5*d. Let s = -2 - -2. Factor 2/13*u**t + 2/13*u**3 + 0 + s*u.
2*u**2*(u + 1)/13
Let f(u) = -124*u**4 + 192*u**3 - 34*u**2 - 34*u - 17. Let r(v) = 44*v**4 - 64*v**3 + 12*v**2 + 12*v + 6. Let q(l) = 6*f(l) + 17*r(l). Factor q(h).
4*h**3*(h + 16)
Let g(r) = -2*r**3 - 8*r**2 - 9*r - 13. Let o be g(-8). Let a = o - 569. Solve -70/9*b**a - 2/9 + 26/9*b - 98/9*b**3 = 0.
-1, 1/7
Let m(l) be the second derivative of 4/5*l**6 - 256*l**3 - 12*l**5 - 2/105*l**7 + 2304/5*l**2 - 5*l - 2 + 232/3*l**4. Solve m(c) = 0 for c.
2, 12
Suppose 1237*v - 3 = -8 + 5. Factor v - 16/15*z - 2/15*z**2.
-2*z*(z + 8)/15
Determine k so that -278/15*k**2 - 32/15 + 12*k + 48/5*k**3 - 14/15*k**4 = 0.
2/7, 1, 8
Find r such that 64/5*r**3 - 62/5*r - 2/5*r**5 + 72/5 - 84/5*r**2 + 12/5*r**4 = 0.
-4, -1, 1, 9
Let c(u) be the third derivative of -u**8/140 - 34*u**7/525 - u**6/150 + 47*u**5/25 + 42*u**4/5 + 72*u**3/5 + 7475*u**2. Solve c(f) = 0.
-3, -2, -2/3, 3
Factor -3/7*y**3 - 72/7*y**2 + 327/7*y - 36.
-3*(y - 3)*(y - 1)*(y + 28)/7
Factor 536/9 + 544/9*k + 2/9*k**3 + 142/9*k**2.
2*(k + 2)**2*(k + 67)/9
Let q be 187/(-693) - 960/(-1344). Let -4/9*k**4 + 2/3*k**3 - q + 8/9*k**2 - 2/3*k = 0. What is k?
-1, -1/2, 1, 2
Suppose -5*s = 5*a - 20, 3*a + s = 4*a - 6. Find n such that -n**4 + n**4 - 15*n**3 - 20*n**2 - n**4 + n**4 + a*n**4 = 0.
-1, 0, 4
Suppose 4*r - 18 = -2*q + 2, -2*r + 5*q = 14. Determine f, given that -r + 117*f - 2*f**3 + 7 - 111*f = 0.
-1, 2
Let o(l) be the third derivative of -l**6/30 + 11*l**5/30 - 13*l**4/12 + 4*l**3/3 - 166*l**2. Factor o(n).
-2*(n - 4)*(n - 1)*(2*n - 1)
Let x(j) be the second derivative of j**7/9 - 106*j**6/9 - 53*j**5/10 + 265*j**4/9 + 152*j**3/9 + 1789*j. Solve x(t) = 0.
-1, -2/7, 0, 1, 76
Let g = -319 - -363. Suppose 15*m = -7*m + g. Factor 2/3*b**m + 1/6*b**4 + 0 - 2/3*b**3 + 0*b.
b**2*(b - 2)**2/6
Let 148/7*i**4 + 950/7*i**3 + 160/7 + 1744/7*i**2 - 10/7*i**5 + 1112/7*i = 0. What is i?
-2, -1, -1/5, 20
Let a(g) be the third derivative of g**6/24 - 5*g**5/4 + 55*g**4/4 - 200*g**3/3 - 93*g**2 - 12. Let a(u) = 0. Calculate u.
2, 5, 8
Let y be 50/12 - (-2)/(-24)*2. Suppose -6 = -3*u, -x - x + 5*u = y. Find q, given that -4*q + 25*q**3 - q**5 + 2*q**4 - 19*q**x - 2*q**2 - q**5 = 0.
-1, 0, 1, 2
Let b(s) be the first derivative of -s**6/36 + 11*s**5/15 + 47*s**4/8 - 9*s**3 - 213. Suppose b(y) = 0. Calculate y.
-6, 0, 1, 27
Suppose 14*i - 55 = 57. Suppose -4*g + 44