*l**2*(l - 1)*(22*l + 1)
Let q(l) be the third derivative of -l**7/420 - l**6/180 + l**5/12 - l**4/4 + 23*l**3/6 - 7*l**2. Let k(z) be the first derivative of q(z). Solve k(p) = 0.
-3, 1
Let u(w) be the first derivative of 2*w**3/3 - 478*w**2 + 114242*w - 703. Find s, given that u(s) = 0.
239
Let j be (-7)/147*((-40)/(-60))/((-1)/9). Determine w, given that 0 - j*w**2 + 4/7*w = 0.
0, 2
Let b be 1/(2*(-10)/(-8)). Let f = -16274 + 16278. Find c such that 0 - 1/5*c**5 - 1/5*c**3 + b*c + 3/5*c**f - 3/5*c**2 = 0.
-1, 0, 1, 2
Let b(u) = 2*u**3 + u**2 - u - 1. Let x(y) = y**3 + 3*y**2 + 17. Let q be x(-4). Let f be b(q). Factor -1/2*c**2 + f - 1/2*c.
-(c - 1)*(c + 2)/2
Let l(u) be the first derivative of u**5/20 + 5*u**4/8 - 11*u**3/12 - 287. Find t such that l(t) = 0.
-11, 0, 1
Let z(d) = -18*d**2 - 493*d + 127. Let f(x) = 17*x**2 + 492*x - 128. Let g(b) = -2*f(b) - 3*z(b). Factor g(n).
5*(n + 25)*(4*n - 1)
Let n(q) = 7*q - 12*q**3 - 7*q**2 + 13*q**3 + 4*q - 1. Let g be n(5). Factor 0 - 1/5*c**3 + 0*c + 2/5*c**g - 1/5*c**2.
c**2*(c - 1)*(2*c + 1)/5
Let u(d) be the first derivative of 0*d + 0*d**4 + 0*d**2 + d**5 - 5/3*d**3 - 14. Factor u(l).
5*l**2*(l - 1)*(l + 1)
Let z(r) = -3*r**4 + 3*r**3 + r**2 - 3*r + 2. Let t(v) = 13*v**4 - 13*v**3 - 3*v**2 + 11*v - 8. Let n(p) = 2*t(p) + 9*z(p). Find q such that n(q) = 0.
-2, 1
Suppose p - 5 = 4*d, -6 = -2*p + d + 11. Solve -9*q**2 + 16*q - p*q**3 + 2*q**3 + 20*q**4 - 3*q**2 - 17*q**3 = 0 for q.
-4/5, 0, 1
Suppose 26*k - 265 = -213. Find z such that -1/4*z**3 + 0 + 5/2*z**k - 9/4*z = 0.
0, 1, 9
Let o be 2/8 + 12/(-280)*119/(-34). Factor -2/5*d**2 - 4/5*d - o.
-2*(d + 1)**2/5
Let w(j) be the second derivative of -1/3*j**3 + 1/4*j**2 - 1/10*j**5 + 1/4*j**4 + 1/60*j**6 + 7*j + 0. Find t such that w(t) = 0.
1
Let o = 164/1045 + 9/209. Determine h so that 1/5*h**5 - o*h**2 + 0 + 1/5*h**4 - 1/5*h**3 + 0*h = 0.
-1, 0, 1
Let a(c) = -c**3 + c**2 - c. Let n(x) = -4*x**3 - 56*x + 6*x**2 - 2*x**2 + 57*x - 4. Let t(m) = 3*a(m) - n(m). Determine s, given that t(s) = 0.
-2, 1, 2
Let f(x) be the first derivative of -2*x**5/5 - 3*x**4/2 - 2*x**3/3 + 3*x**2 + 4*x - 165. Solve f(d) = 0.
-2, -1, 1
Let p = 2215 + -2213. Factor -16/5 + 36/5*d + 2*d**p.
2*(d + 4)*(5*d - 2)/5
Let m(p) be the second derivative of -p**2 - 20*p. Let q(u) = -u**2 - 3*u - 6. Let v(d) = 2*m(d) - q(d). Determine l, given that v(l) = 0.
-2, -1
Let v = -90 + 96. Let y(m) be the third derivative of 2*m**3 - 1/40*m**v - 1/20*m**5 + 0 + 6*m**2 + 1/2*m**4 + 0*m. Factor y(h).
-3*(h - 2)*(h + 1)*(h + 2)
Let i(s) = -13*s + s - 3*s**2 + 5*s - 3 - s**3 - 5. Let h be i(-2). Suppose 0 + 2/3*n**3 - 2/3*n - 2/3*n**h + 2/3*n**4 = 0. Calculate n.
-1, 0, 1
Let x(s) be the second derivative of -s**6/60 - 21*s**5/200 + 2*s**4/15 + 7*s**3/5 + 4*s**2/5 + 138*s + 3. Solve x(p) = 0 for p.
-4, -2, -1/5, 2
Let h(u) be the first derivative of u**6/3 - 6*u**5/5 - u**4/2 + 2*u**3 + 126. Factor h(y).
2*y**2*(y - 3)*(y - 1)*(y + 1)
Factor 35*p - 5*p - 73 - p**2 - 8*p + 52*p.
-(p - 73)*(p - 1)
Let t(b) = b - 13. Let j be t(16). Let o(y) be the first derivative of -1/15*y**5 - 1/3*y - 1/6*y**4 + 2/9*y**j + 1/18*y**6 + 5 + 1/6*y**2. Factor o(q).
(q - 1)**3*(q + 1)**2/3
Let p = -37 - -93. Let o be (p/(-18) - -3)*-2. Factor -2/9 + o*w**2 + 0*w.
2*(w - 1)*(w + 1)/9
Let b be (-48)/(-238) + (-226)/3842. Factor -8/7*c**3 + 15/7*c**2 + b*c**4 + 8/7*c - 16/7.
(c - 4)**2*(c - 1)*(c + 1)/7
Factor -68*i**3 - 735 + 157 + 64*i**3 - 896*i - 446 + 124*i**2.
-4*(i - 16)**2*(i + 1)
Let z(u) be the first derivative of u**4/12 + 106*u**3/9 + 209*u**2/6 + 104*u/3 + 437. Suppose z(d) = 0. Calculate d.
-104, -1
Let x(t) be the second derivative of -t**4/6 - 2*t**3/3 + 8*t**2 - 9*t + 2. Solve x(w) = 0.
-4, 2
Let -20 - 5*s - 2*s + 21*s - 2*s**2 = 0. Calculate s.
2, 5
Suppose -6*l + 3*l + 15 = 0. Suppose 34 = l*o + 14. Solve -24/5*i**3 - 4/5*i + 28/5*i**5 + 0 + 22/5*i**2 - 22/5*i**o = 0 for i.
-1, 0, 2/7, 1/2, 1
Let v(g) = -g + 17. Let k be v(15). Let 96*j - 24*j - 124*j**2 - 38*j**k - 8 = 0. What is j?
2/9
Let o(l) be the third derivative of -l**6/120 + l**5/30 + l**4/24 + 11*l**3/6 + 11*l**2. Let h be o(0). Suppose h*c - 4*c + 20 + 13*c + 5*c**2 = 0. What is c?
-2
Determine m so that 0 + 6/11*m**3 + 6/11*m + 12/11*m**2 = 0.
-1, 0
Let h(p) be the first derivative of -2*p**5/35 + 3*p**4/7 + 40*p**3/7 - 550*p**2/7 + 2250*p/7 + 258. Factor h(z).
-2*(z - 5)**3*(z + 9)/7
Let k(m) be the third derivative of 0*m**7 + 0*m + 0*m**3 + 0 + 1/12*m**6 + 18*m**2 - 5/24*m**4 - 5/336*m**8 + 0*m**5. Determine v, given that k(v) = 0.
-1, 0, 1
Let n = 9318 - 27950/3. Find u, given that 0 - n*u**2 - 20/3*u = 0.
-5, 0
Suppose 119 = 5*r + z - 3*z, 2*z = 6. Let n = -23 + r. Determine w, given that -14*w**2 + 2*w**n + 14*w - 2*w + 4*w**3 - 4 = 0.
1
Let h(o) be the second derivative of -o**4/12 - 14*o**3/3 - 27*o**2/2 + 19*o - 2. Find p, given that h(p) = 0.
-27, -1
Let k(j) = 2*j - 36. Suppose 190 = -2*a + 12*a. Let c be k(a). Find l such that c*l + 5/4*l**2 - 1 = 0.
-2, 2/5
Let c(i) be the first derivative of -i**6/39 - 8*i**5/65 - 3*i**4/13 - 8*i**3/39 - i**2/13 + 125. Factor c(x).
-2*x*(x + 1)**4/13
Let n be 3230/(-1938) - (-7)/3*1. Factor 0 + n*b**2 + 2*b.
2*b*(b + 3)/3
Factor -12*k + 1/3*k**4 + 4/3*k**3 - 10*k**2 + 63.
(k - 3)**2*(k + 3)*(k + 7)/3
Let w = 296 - 2069/7. Let x(y) be the second derivative of -5*y - w*y**3 + 1/7*y**4 + 0 + 0*y**2 - 1/70*y**5. Solve x(z) = 0 for z.
0, 3
Factor 1/8*j**2 + 5/4 + 7/8*j.
(j + 2)*(j + 5)/8
Let z(c) be the third derivative of c**6/120 - 11*c**5/60 + c**4 + 6*c**3 - c**2 + 15*c. Factor z(s).
(s - 6)**2*(s + 1)
Let k(p) be the second derivative of 3*p**5/70 - 17*p**4/14 + 13*p**3 - 63*p**2 - 5*p + 15. Factor k(w).
6*(w - 7)**2*(w - 3)/7
Let h = 34 + -33. Factor -q**2 + 4*q**2 - 5*q**2 + 3 - h.
-2*(q - 1)*(q + 1)
Let v(a) be the first derivative of 0*a**4 + 2/7*a**2 + 0*a + 2/35*a**5 + 23 - 2/7*a**3. Factor v(p).
2*p*(p - 1)**2*(p + 2)/7
Let w(z) be the third derivative of z**5/20 - z**4/8 - 10*z**3 + 67*z**2. Factor w(u).
3*(u - 5)*(u + 4)
Let h be 2/10 + (-48)/(-10). Let x(r) be the first derivative of 7*r**3/3 + r**2/2 + 7*r + 37. Let j(f) = -3*f**2 - 3. Let z(s) = h*j(s) + 2*x(s). Factor z(m).
-(m - 1)**2
Suppose 0 = -0*i - 6*i + 30. Let w be 7/3 + 2/(-6). Solve 10*f**w - 5*f**4 - 26*f**5 + f + 31*f**i - 10*f**3 - 5 + 4*f = 0.
-1, 1
Factor 0 + 0*z + 2/15*z**3 + 8/5*z**2.
2*z**2*(z + 12)/15
Let h(v) be the second derivative of -v**6/180 - v**5/15 - v**4/3 + v**3/3 - 6*v. Let z(g) be the second derivative of h(g). Factor z(b).
-2*(b + 2)**2
Factor 0 + 5/4*v**2 + 345/4*v.
5*v*(v + 69)/4
Let a(t) be the first derivative of -1/2*t**4 + 0*t + 8/25*t**5 - 40 + 2/15*t**3 + 0*t**2. Find m, given that a(m) = 0.
0, 1/4, 1
Let i(q) be the first derivative of -2*q**3/39 - 2*q**2/13 - 2*q/13 - 346. Factor i(f).
-2*(f + 1)**2/13
Let d(a) be the second derivative of a**7/252 + a**6/36 - 4*a**5/15 + a**4/2 - a - 212. Suppose d(f) = 0. What is f?
-9, 0, 2
Let k(h) be the first derivative of -h**5/10 + 7*h**4/4 + 31*h**3/6 + 4*h**2 - 243. Let k(m) = 0. Calculate m.
-1, 0, 16
Determine n, given that 114*n**2 + 103*n**2 - 2028 - 220*n**2 + 156*n = 0.
26
Suppose -4*b + 10 = -i, 4*i - 12 = -0*b + 3*b. Factor -9*p**2 - i*p**2 - 3*p**3 + 10*p + 4*p**3 + 65*p - 125.
(p - 5)**3
Let a(n) be the first derivative of -16 + 2*n**2 + 4/3*n + 1/2*n**4 + 13/9*n**3 + 1/15*n**5. Solve a(m) = 0 for m.
-2, -1
Let j(v) be the third derivative of -v**8/28 - 88*v**7/735 + 59*v**6/210 + 6*v**5/7 - 38*v**4/21 - 16*v**3/21 + 2*v**2 - 45*v. Suppose j(y) = 0. Calculate y.
-2, -2/21, 1
Let l(h) = h**4 + h**3 - h**2 - h + 1. Let n(c) = c**5 + 10*c**4 + 14*c**3 + 2*c**2 - 3*c + 3. Let i(y) = -3*l(y) + n(y). Suppose i(b) = 0. Calculate b.
-5, -1, 0
Let a(x) be the first derivative of 9*x**2 - 4*x**3 + 1/2*x**4 - 8*x + 5. Determine m so that a(m) = 0.
1, 4
Find t, given that 1 + 2/3*t + 1/9*t**2 = 0.
-3
Factor -1500 - 384*z - 722*z**3 - 316*z + 358*z**3 + 360*z**3 - 100*z**2.
-4*(z + 5)**2*(z + 15)
Factor j**5 - 7*j + 2*j - 24*j**2 - 18*j**3 + 6*j**5 - 4*j**5 - 4*j.
3*j*(j - 3)*(j + 1)**3
Let j(y) = -7*y**4 + 23*y**3 - 53*y**2 + 27*y. Let m(b) = 3*b**4 - 11*b**3 + 26*b**2 - 14*b. Let r(k) = -2*j(k) - 5*m(k). Factor r(h).
-h*(h - 4)**2*(h