- 25200 - 4/7*r**2.
-4*(r - 210)**2/7
Let i(o) be the second derivative of 19/5*o**5 + 1/105*o**7 + 68 - o + 23/75*o**6 + 343/5*o**2 + 833/15*o**3 + 329/15*o**4. Factor i(k).
2*(k + 1)**2*(k + 7)**3/5
Solve 295/3*o - 11/3*o**2 + 18 = 0 for o.
-2/11, 27
Let c(s) be the first derivative of -s**5/35 - 12*s**4/7 - 60*s**3/7 + 5400*s**2/7 + 5544. Factor c(i).
-i*(i - 12)*(i + 30)**2/7
Let o be 428/8*(-16)/20. Let s = 223/5 + o. Suppose -2/5 - j**3 - 1/5*j**4 - s*j**2 - 7/5*j = 0. Calculate j.
-2, -1
Factor 2/11*h**2 + 1490/11 - 1492/11*h.
2*(h - 745)*(h - 1)/11
Suppose 11*i - 6170 + 6137 = 0. Let a(f) be the first derivative of 2/9*f**2 - 2/9*f - 2/27*f**i - 2. Factor a(o).
-2*(o - 1)**2/9
Let b be (-1)/(-11) + (-348289)/(-26301). Factor -b*p + 200/3 + 2/3*p**2.
2*(p - 10)**2/3
Let z(k) be the third derivative of -1/504*k**8 + 7/90*k**5 - 1/6*k**4 - 2*k**2 + 0*k + 44 - 1/105*k**7 + 1/60*k**6 + 0*k**3. Solve z(y) = 0 for y.
-3, -2, 0, 1
Let j(i) be the first derivative of 137 - 1/20*i**5 + 7/16*i**4 + 0*i**2 + 0*i + 2/3*i**3. Solve j(s) = 0.
-1, 0, 8
Let j(u) be the third derivative of -u**8/33600 + u**7/12600 + u**4 + 123*u**2. Let v(i) be the second derivative of j(i). Factor v(o).
-o**2*(o - 1)/5
Let v be 123802/(-4144) + (30 - 0). Let -v*n**3 - 9/2*n + 3/2*n**2 + 4 = 0. What is n?
2, 8
Let z(f) be the third derivative of f**8/1008 - 677*f**7/630 + 38137*f**6/90 - 2847148*f**5/45 - 1481204*f**4/9 + 11543176*f**3/9 + 187*f**2 + 2. Factor z(v).
(v - 226)**3*(v - 1)*(v + 2)/3
Let x(c) be the first derivative of 2*c**3/3 - 370*c**2 - 742*c - 2926. Factor x(w).
2*(w - 371)*(w + 1)
Let v = 2345666/5 - 469133. Factor 0*j**3 - 3/5 + v*j**4 - 8/5*j - 6/5*j**2.
(j - 3)*(j + 1)**3/5
Let p(a) be the third derivative of a**8/840 - 4*a**7/525 - a**6/150 + 2*a**5/25 + 3*a**4/20 + 3455*a**2. Factor p(v).
2*v*(v - 3)**2*(v + 1)**2/5
Determine k so that -4*k**4 - 27/4*k**3 + 4*k**2 + 0 - 1/4*k**5 + 7*k = 0.
-14, -2, -1, 0, 1
Suppose x + 12 = 3*s, -27*x - 14 = -s - 25*x. Let g(m) be the first derivative of 13/3*m**s - 16/9*m**3 + 1/6*m**4 + 1 - 4*m. What is f in g(f) = 0?
1, 6
Let m(h) be the first derivative of 6*h**5 + 33 - 190/3*h**3 + 160*h + 5/6*h**6 + 0*h**2 - 5/4*h**4. Let m(k) = 0. Calculate k.
-4, -1, 1, 2
Suppose 18*n = 61*n - 301. Let q be 4 - 1 - (294/30 - n). Factor -2*l**3 - l + 2*l**2 + l**4 + q - 1/5*l**5.
-(l - 1)**5/5
Suppose 12 = 4*s - 4*m - 12, 4*s = -m + 24. Let -11 + s + 7 - 18 - 20 + 32*x + 4*x**2 = 0. Calculate x.
-9, 1
Let b be (-1024)/12*(-594)/462. Find q such that -96/7*q - 3/7*q**2 - b = 0.
-16
Let x = -14/79 - -1018/395. Factor -x*d**4 + 0 - 12/5*d**3 - 4/5*d**5 + 0*d - 4/5*d**2.
-4*d**2*(d + 1)**3/5
Let u = 1544 + -1547. Let r be (0 - u/(-3))*145/(-29). Determine b, given that -4/11 + 8/11*b**2 - 4/11*b**4 - 2/11*b**r - 2/11*b + 4/11*b**3 = 0.
-2, -1, 1
Find k, given that 684/5 - 2/15*k**3 + 90*k + 72/5*k**2 = 0.
-3, 114
Let v(p) be the second derivative of -7*p**6/30 + 17*p**5/5 + 97*p**4/12 + 11*p**3/3 - 12*p + 65. What is j in v(j) = 0?
-1, -2/7, 0, 11
Let l(w) = -3*w**3 - 56*w**2 - 724*w + 8632. Let o(f) = -2*f**3 + f**2 - f - 2. Let m(b) = -l(b) + 4*o(b). Factor m(i).
-5*(i - 12)**2*(i + 12)
What is m in 1/4*m**2 + 19/4*m - 54 = 0?
-27, 8
Let r be (308/(-34650))/((-1)/260) + 12/90. Factor 4/3*q**3 + r*q**2 + 4/3*q + 2/9*q**4 + 0.
2*q*(q + 1)*(q + 2)*(q + 3)/9
Factor -880/3 + 2/3*u**2 + 436/3*u.
2*(u - 2)*(u + 220)/3
Factor -15764*j + 10172973 + 861*j - 3805829 + 5*j**2 + 10542461 - 3487*j.
5*(j - 1839)**2
Find n, given that -210*n + 35*n**3 + 35*n**4 - 215*n**2 + 400978 - 400978 - 5*n**5 = 0.
-2, -1, 0, 3, 7
Let -59120*p**3 + 200*p**2 + 118235*p**3 - 64*p**2 + 557*p - 59116*p**3 + 420 = 0. What is p?
-3, -1, 140
Factor 5*b**4 - 287605*b**3 + 85*b**2 - b - 39*b + 287555*b**3.
5*b*(b - 8)*(b - 1)**2
Let m(h) be the third derivative of -h**6/280 - 37*h**5/35 - 123*h**4/8 - 639*h**3/7 + h**2 - 9*h - 70. Factor m(k).
-3*(k + 3)**2*(k + 142)/7
What is x in -8/7*x**4 - 162/7*x + 18/7*x**3 + 36/7 + 68/7*x**2 = 0?
-3, 1/4, 2, 3
Let w(k) be the second derivative of 1/8*k**3 - 13/48*k**4 - 1/120*k**6 + 9/4*k**2 - 48*k - 7/80*k**5 + 0. Factor w(z).
-(z - 1)*(z + 2)*(z + 3)**2/4
Let f(c) be the first derivative of -c**3 + 1386*c**2 + 416. Solve f(l) = 0 for l.
0, 924
Let f be (-1)/10 - 436/(-2180). Let p(m) be the first derivative of 0*m**2 + 22 - f*m**4 + 0*m**3 - 2/75*m**5 + 0*m. Let p(w) = 0. Calculate w.
-3, 0
Let l(t) be the first derivative of 0*t + 17/2*t**2 + 0*t**3 + 1/12*t**4 + 41 + 1/30*t**5. Let z(v) be the second derivative of l(v). Let z(b) = 0. Calculate b.
-1, 0
Let u(v) be the first derivative of -1/36*v**4 + 0*v**2 - 19 - 1/40*v**5 + 0*v**3 - 1/180*v**6 - 13*v. Let g(d) be the first derivative of u(d). Factor g(s).
-s**2*(s + 1)*(s + 2)/6
Let a(p) be the third derivative of p**8/420 + 8*p**7/175 + 37*p**6/150 + 14*p**5/25 + 8*p**4/15 + p**2 - 173*p. Let a(o) = 0. What is o?
-8, -2, -1, 0
Suppose 4*u + 40 = 5*f, 0 = -3*f + 2*u - 3*u + 7. Solve -72*x**3 - 76*x**f - 716*x**2 - 578 + 36*x**4 - 1224*x + 38*x**4 = 0 for x.
-17, -1
Let -243 + 16*q**4 + 68*q - 36*q**4 + 23*q**4 + 94*q - 18*q**3 = 0. What is q?
-3, 3
Determine m so that 9/5*m**2 - 82/5*m + 16 = 0.
10/9, 8
Let g(a) be the first derivative of -1323/4*a**2 + 89 + 9261/2*a - 1/8*a**4 + 21/2*a**3. Let g(u) = 0. Calculate u.
21
Let r = -11 + 14. Suppose 2*l = 9 - r. Factor -16 - 12*t**2 + t**3 - 10*t + t**l + 34*t.
2*(t - 2)**3
Let k be (2/10)/((-21)/210) - (-1088)/10. Factor -3/5*y**2 - 23763/5 + k*y.
-3*(y - 89)**2/5
Factor -624*n**4 - 1264*n**3 - 2323*n**5 + 383*n + 462*n + 632 + 2327*n**5 - 8*n**2 + 415*n.
4*(n - 158)*(n - 1)*(n + 1)**3
Let n(d) be the second derivative of -d**4/6 - 44*d**3/3 - 43*d**2 + 19*d + 7. Let n(l) = 0. Calculate l.
-43, -1
Let x be 12/(-14)*((-7)/(-17))/1. Let h = x + 76/119. Suppose -16/7*b - h*b**3 + 32/7 - 2*b**2 = 0. Calculate b.
-4, 1
Let t(a) be the third derivative of -2/21*a**3 - 1/140*a**6 + 0 + 1/28*a**4 - a + 1/735*a**7 + 64*a**2 + 1/210*a**5. Factor t(y).
2*(y - 2)*(y - 1)**2*(y + 1)/7
Suppose -5*v = 4*s - 54, -5*s + 46 = -s + v. Let q be 4240/330 - 11 - 2/s. Determine b so that 2/3*b**2 + 1 - b**5 - q*b**4 + 14/3*b**3 - 11/3*b = 0.
-3, -1, 1/3, 1
Let u(d) be the second derivative of -d**4/96 - 33*d**3/16 - 49*d**2/8 + 2476*d. Suppose u(l) = 0. What is l?
-98, -1
Let s(h) be the third derivative of h**8/840 - 3*h**7/490 + 2*h**6/315 - 25*h**3/2 + 19*h**2. Let g(n) be the first derivative of s(n). Factor g(l).
2*l**2*(l - 2)*(7*l - 4)/7
Let s(o) = o**3 + 4*o**2 - 6*o - 7. Let m be s(-6). Let u = m - -43. Factor u + j**3 - 2*j**2 + 2*j**3 + j + j**4 - 8 - 13*j.
(j - 2)*(j + 1)*(j + 2)**2
Let b be (-8)/10*30/(-4). Suppose 1 = -b*v + 31. Factor 0*d - 4/7*d**2 - 10/7*d**3 + 0 - 2/7*d**v - 8/7*d**4.
-2*d**2*(d + 1)**2*(d + 2)/7
Let d(p) = 26*p**2 - p + 2. Let m(v) = -123*v**2 - 55*v - 37. Let x(g) = 5*d(g) + m(g). Factor x(f).
(f - 9)*(7*f + 3)
Let p(d) be the first derivative of 23 - 2/9*d**3 + 2/45*d**5 + 1/9*d**4 + 8/9*d - 4/9*d**2. Let p(k) = 0. What is k?
-2, 1
Let b(y) be the third derivative of -y**8/336 + 3*y**6/20 - 8*y**5/15 + 5*y**4/8 - 10230*y**2. Solve b(k) = 0 for k.
-5, 0, 1, 3
Suppose -15*x - 196 = -226. Factor -568*w + 293 + 93*w - 15*w**x - 133.
-5*(w + 32)*(3*w - 1)
Let i(v) be the first derivative of -18*v**2 - 703*v**3 + 1407*v**3 - 227 + 84*v - 705*v**3. Suppose i(o) = 0. Calculate o.
-14, 2
Suppose j - 393 = -4*c + 6*c, 198 = -c + j. Let p = -189 - c. What is z in -9*z**2 + 27/8*z + p*z**3 - 3/8 = 0?
1/4, 1
Let q(r) be the third derivative of -r**7/1260 - 13*r**6/720 + r**5/120 + 37*r**4/144 - 13*r**3/18 + 2447*r**2 + 2. Factor q(v).
-(v - 1)**2*(v + 2)*(v + 13)/6
Suppose -50*w + 45*w = -3*m - 1671, 4*w + m = 1330. Factor -660*i**2 - 37*i + 328*i**2 + 36 + w*i**2.
(i - 36)*(i - 1)
Let q be (-5)/(-10)*(-6 + 4). Let c be 9*12/162 + q/6. Factor -c*l**2 - 1/4 + 3/4*l.
-(l - 1)*(2*l - 1)/4
Let o(f) be the first derivative of 22*f**2 - 4/3*f**3 + 48*f - 53. What is n in o(n) = 0?
-1, 12
Let v(m) = 74*m**3 - 3248*m**2 + 8765*m + 1584. Let d(l) = 19*l**3 - 812*l**2 + 2191*l + 394. Let r(u) = 15*d(u) - 4*v(u). Factor r(b).
-(b - 71)*(b - 3)*(11*b + 2)
Factor 4/3*w**3 - 12*w**2 - 136*w - 640/3.
4*(w - 16)*(w + 2)*(w + 5