 -2 + 20/9*w**3 + 1/18*w**4 - 7*w**2 - 106*w. Factor u(z).
2*(z - 1)*(z + 21)/3
Let p(f) be the first derivative of -3*f**4/32 + 13*f**3/8 + 51*f**2/4 - 1030. Suppose p(n) = 0. What is n?
-4, 0, 17
Let u = 17 + -13. Suppose 2*q = 3*z + 36, -q - u*q - 3*z = -132. Find t, given that 12 + q*t**2 - 32*t + 0*t**4 - 10*t**4 + 6*t**4 = 0.
-3, 1
Suppose 3*z - 3*u + 84 = 0, 0 = 4*z - 2*u - 0*u + 118. Let o = -26 - z. Solve o*j + 0*j**4 - 12*j**2 - 2*j + 5*j**2 + 5*j**3 - j**4 = 0.
0, 1, 3
Suppose -26*h + 27*h + 358 = 5*d, 4*d - 4*h = 280. Suppose d = 27*n + 18. Solve -3/7*r + 1/7*r**3 + 0*r**n - 2/7 = 0.
-1, 2
Let p(f) be the third derivative of -f**8/224 - 3*f**7/70 - 3*f**6/40 + f**5/2 + 39*f**4/16 + 9*f**3/2 + f**2 - 359. Suppose p(v) = 0. Calculate v.
-3, -1, 2
Suppose 25*u = -193 + 185 + 158. Let d(t) be the first derivative of -2*t**3 + 6*t + 0*t**5 - 11 + 9/2*t**2 - 3*t**4 + 1/2*t**u. Suppose d(r) = 0. Calculate r.
-1, 1, 2
Let v be ((-24)/28)/((-24)/56). Factor 21 + 0*i**v - 144*i + 0*i**2 + 5*i**2 + 84*i + 34.
5*(i - 11)*(i - 1)
Let a be (((-56)/44)/(-14))/((-4)/(-8)). Suppose -3*n - 2 = -p, p = -0*p + 4*n + 2. Let -8/11*f - a*f**p - 6/11 = 0. Calculate f.
-3, -1
Let t = -42 - -46. Suppose -l - 2*w = -7*w - 2, -t*w + 4 = 2*l. Suppose 204*d - 95*d - 3*d**l - 103*d = 0. Calculate d.
0, 2
Let d be 13/(-11) + 43/(387/12). Let a(g) be the second derivative of -4/11*g**2 - 9*g - d*g**3 + 0 - 1/66*g**4. Let a(o) = 0. What is o?
-4, -1
Let v = -127 - -129. Find o, given that 50*o**v - 4*o**3 - 169 - 896*o - 1045 + 74*o**2 + 190 = 0.
-1, 16
Let f be ((-1)/2)/(8 + 1134/(-140)). Let c(p) = -p**2 + 6*p - 9. Let m be c(3). Let m + 20*g + 15/2*g**4 - 45/2*g**f + 65*g**3 - 70*g**2 = 0. Calculate g.
-2, 0, 2/3, 1
Let z(t) = -t**3 - 19*t**2 - 29*t + 90. Let c be z(-17). Let b(p) be the first derivative of -6*p - 21/4*p**4 - 3*p**3 + 18 + 21/2*p**2 + 3*p**c. Factor b(m).
3*(m - 1)**2*(m + 1)*(5*m - 2)
Let f(q) be the second derivative of -5/14*q**6 - 99/140*q**5 + 2 + 18/7*q**2 + 9/98*q**7 + 34/7*q**3 - 210*q + 57/28*q**4. Determine o, given that f(o) = 0.
-1, -2/9, 2, 3
What is o in 7893*o**2 + 7901*o**2 - 23690*o**2 + 7899*o**2 + 9954*o + 8256843 = 0?
-1659
Let d(b) = -52*b**3 - 11*b**2 + 2*b. Let z(u) be the first derivative of -u**4/4 + 9022. Let r = 7 - 12. Let l(c) = r*z(c) + 5*d(c). Factor l(k).
-5*k*(3*k + 1)*(17*k - 2)
Let 2/19*q**4 + 0*q - 88/19*q**3 - 184/19*q**2 + 0 = 0. Calculate q.
-2, 0, 46
Let q = -67 + 69. Factor -137*m - m**q + 2 + 140*m + 8.
-(m - 5)*(m + 2)
Let v(b) = -32*b**2 + 14*b + 180. Let w be (20/8 - 4)*2. Let g(t) = -10*t**2 + 5*t + 60. Let d(l) = w*v(l) + 10*g(l). Suppose d(f) = 0. What is f?
-3, 5
What is l in 13/3*l**4 + 1880/3*l - 1/3*l**5 - 300 - 1049/3*l**2 + 19*l**3 = 0?
-9, 1, 10
Let d(z) be the first derivative of 4*z**5/5 + 2*z**4 - 52*z**3/3 - 28*z**2 + 96*z - 523. Determine l, given that d(l) = 0.
-4, -2, 1, 3
Let l(i) = i**2 - 352*i + 2417. Let g be l(7). Let n(d) be the first derivative of 21 + 36*d + 12*d**g + 4/3*d**3. Factor n(w).
4*(w + 3)**2
Factor -2/19*t**2 + 0 - 34/19*t.
-2*t*(t + 17)/19
Let r = -1036491/20 + 207299/4. Suppose r*w**2 - 1/5*w**4 + 1/5*w**5 - 3/5*w**3 + 2/5*w + 0 = 0. Calculate w.
-1, 0, 1, 2
Let v(q) be the second derivative of -5/16*q**3 - 9/8*q**2 + 0 + 161*q - 1/32*q**4. Factor v(g).
-3*(g + 2)*(g + 3)/8
Let b(y) = -6*y**2 + 2*y + 62. Let z be b(-7). Let p be 6*z/(-84) + (-9)/(-21). Factor -3*j**2 - 1863 + 1863 + p*j.
-3*j*(j - 6)
Let s(w) = -4*w**4 - 35*w**3 - 67*w**2 - 59*w - 23. Let l(o) = 4*o**4 + 36*o**3 + 68*o**2 + 60*o + 24. Let x(k) = 7*l(k) + 8*s(k). Factor x(f).
-4*(f + 1)**3*(f + 4)
Let q(a) = -a**3 - 46*a**2 - 54*a + 26. Let g be q(-45). Let h = -428 + g. Factor 2/3 + 2*y + 2*y**2 + 2/3*y**h.
2*(y + 1)**3/3
Find v, given that -729 + 118*v**2 - 5739*v**4 - 324*v + 5754*v**4 + 18*v**2 + 26*v**2 + 108*v**3 = 0.
-3, 9/5
Suppose 111 = 320*v - 311 - 218. Let y(s) be the first derivative of 0*s + 0*s**3 + 9 + 1/4*s**4 - 1/2*s**v. Let y(b) = 0. What is b?
-1, 0, 1
Let b = 510 - 507. Factor 2*h**2 - 13*h + 21*h + 0*h - 67*h**2 + 20*h**b + 47*h - 10.
5*(h - 2)*(h - 1)*(4*h - 1)
Let p(b) be the second derivative of b**5/140 + 169*b**4/7 + 171366*b**3/7 + 5*b + 811. Factor p(a).
a*(a + 1014)**2/7
Factor 18 + 904*a + 4*a**2 + 918*a - 2738*a + 899*a.
(a - 2)*(4*a - 9)
Let z be 9 + (-56)/8 + 0. Find t, given that -3879*t**z + 5*t**3 + 1440*t + 4044*t**2 - 43 + 1323 = 0.
-16, -1
Let i(h) be the first derivative of 54*h**2 - 2/3*h**6 - 40*h - 80/3*h**3 + 24/5*h**5 - 2*h**4 + 111. Let i(r) = 0. Calculate r.
-2, 1, 5
Let m(k) be the second derivative of -k**6/120 - 11*k**5/40 - 169*k**4/48 - 22*k**3 - 72*k**2 - 4407*k. Factor m(c).
-(c + 3)**2*(c + 8)**2/4
Let y = 4 + 5. Factor -5*g**2 + 8 + 55*g - 17 + y.
-5*g*(g - 11)
Factor 71/3*o + 1/3*o**3 - 13*o**2 + 37.
(o - 37)*(o - 3)*(o + 1)/3
Let b be (85/(-34) - -13) + -9. Let h(g) be the third derivative of -b*g**4 + 7*g**2 - 27*g**3 + 0*g - 1/30*g**5 + 0. Factor h(u).
-2*(u + 9)**2
Suppose 5*r + 17 = 62. Let a be (10/25)/((-7)/(-70)). Factor -3*b + 4*b**2 - a - 6*b**3 + r*b**3 + b**3 - b.
4*(b - 1)*(b + 1)**2
Factor -2000/9 - 2/9*r**4 + 1450/9*r + 46/9*r**3 - 130/3*r**2.
-2*(r - 8)*(r - 5)**3/9
Let a(k) be the first derivative of -k**6/9 + 298*k**5/3 - 92255*k**4/3 + 3348220*k**3 + 10230165*k**2 + 10292166*k - 3345. Factor a(v).
-2*(v - 249)**3*(v + 1)**2/3
Let o = 1909 + -1908. Let h(y) = 5*y**2 - 7*y + 5. Let q be h(o). Find p such that 3072 + 288*p**2 + 24*p**q + 3/4*p**4 + 1536*p = 0.
-8
Let 43*l**2 - 81*l**4 + 80*l - 50*l**4 - 134*l**3 + l**2 - 6*l**5 - 24*l**3 + 3*l**4 = 0. What is l?
-20, -1, 0, 2/3
Let q(t) be the first derivative of 2*t**3/3 - 99*t**2 + 388*t - 7354. Determine o so that q(o) = 0.
2, 97
Determine n so that -3/4*n**5 + 15/4*n**4 - 339/4*n**2 - 36*n + 147/4*n**3 + 81 = 0.
-6, -1, 1, 2, 9
Suppose -56*w + 51*w = -7730. Suppose 1875 - 768*l**2 - 775*l**2 - 150*l + w*l**2 = 0. What is l?
25
Let t(z) be the first derivative of 1/6*z**6 + 28*z - 17/4*z**4 - 17/3*z**3 - 200 + 16*z**2 + z**5. Let t(o) = 0. Calculate o.
-7, -1, 2
Solve 260/3 + 44*o + 1/3*o**2 = 0 for o.
-130, -2
Let x(r) be the first derivative of 4/5*r**3 + 1/10*r**4 + 148 + 9/5*r**2 + 0*r. Factor x(m).
2*m*(m + 3)**2/5
Suppose -3*q - 15 = -3*z, 2*z + z + 2*q - 5 = 0. Let i(u) be the first derivative of -1/2*u**z - 1/8*u**4 - 3 + 1/10*u**5 + 1/4*u**2 + u. Factor i(b).
(b - 2)*(b - 1)*(b + 1)**2/2
Suppose 307 = 2*c + s, -5*c - 245 = -2*s - 1035. Suppose 170 - c = 7*l. Solve 12/7*b**4 + 0 - 36/7*b**3 + 20/7*b**l + 4/7*b**5 + 0*b = 0.
-5, 0, 1
Find t, given that -123*t**2 - 90 - 3498*t**3 + 240*t + 9*t - 35 + 3497*t**3 = 0.
-125, 1
Suppose l = f, 41*l + f = 44*l - 6. Factor -14/3*b**2 - 8/3 + 20/3*b + b**l.
(b - 2)**2*(3*b - 2)/3
Let i(n) be the first derivative of 211 + 9/14*n**4 - 9/7*n + 3*n**2 + 23/7*n**3. What is a in i(a) = 0?
-3, -1, 1/6
Suppose 0 = 5*i - 5*b + 40, -11*i = -10*i - 2*b + 21. Factor 1 - 5/2*a + a**2 - 2*a**4 + 1/2*a**i + 2*a**3.
(a - 2)*(a - 1)**3*(a + 1)/2
Solve -8 + 1/4*p**4 + 9*p + p**2 - 9/4*p**3 = 0 for p.
-2, 1, 2, 8
Suppose -q = -4*m - 8, -3 = -q + 4*m - 5*m. Factor -3594*a**q - 16*a**3 - 3 - 16*a - 26*a**2 - 3596*a**4 + 7187*a**4.
-(a + 1)**2*(a + 3)*(3*a + 1)
Determine t so that 82/9*t**2 + 0*t - 166/9*t**3 - 2/9*t**5 + 86/9*t**4 + 0 = 0.
0, 1, 41
Let p = 5262/13 - 47332/117. Suppose -40/9*s - 16/9*s**2 + 32/9 + p*s**5 - 16/9*s**4 + 38/9*s**3 = 0. What is s?
-1, 1, 2, 4
Let x(p) be the first derivative of -10*p**4 + 185*p**3/3 + 2715*p**2/2 + 990*p + 5764. Find t, given that x(t) = 0.
-6, -3/8, 11
Suppose -193*t = 121*t - 56*t + 51*t. Solve t + 14/3*o + 2/3*o**4 + 170/9*o**2 + 134/9*o**3 = 0.
-21, -1, -1/3, 0
Suppose 14*t + 0 + 48 = 26*t. Let c(i) be the first derivative of 2*i**2 - 1/4*i**t - 4*i + 1/3*i**3 + 2. Let c(s) = 0. What is s?
-2, 1, 2
Solve -3*a**4 + 47*a**2 - 402356*a**3 + 72*a + 13*a**2 + 402362*a**3 = 0 for a.
-2, 0, 6
Find n such that 356/3*n + 704/3 + 2/3*n**2 = 0.
-176, -2
Let f be (-40)/210 - ((-12)/9 + -3 - -4). Let 0 + 12/7*r**4 + 1/7*r**5 - 12/7*r**2 - f*r**3 + 0*r = 0. What is r?
-12, -1, 0, 1
Find l such that -26450 + 1610*l - 49/2*l**2 = 0.
230/7
Let r(b) be the second derivative of -b**7/3360 + 7*b**6/960 + 4*b**4