- 240*f. Let c(j) be the first derivative of k(j). Factor c(s).
2*(s + 2)*(s + 20)/7
Let a(r) be the second derivative of -1033*r**4/36 + r**3/9 + 3327*r - 2. Factor a(l).
-l*(1033*l - 2)/3
Factor -932/3*w + 2/9*w**2 + 108578.
2*(w - 699)**2/9
Let -40 - 448/17*y - 2/17*y**3 - 58/17*y**2 = 0. Calculate y.
-17, -10, -2
Let g = 1279832 - 1279832. Solve 0*p + 3/5*p**5 + 6/5*p**2 - 3/5*p**3 + g - 6/5*p**4 = 0.
-1, 0, 1, 2
Determine z, given that -44*z**2 + 124*z**4 - 132*z**3 - 480 - 80*z**4 - 354*z + 157*z + 813*z - 4*z**5 = 0.
-2, 1, 3, 4, 5
Let p be 528/(-56) + 10 + 48/14. What is x in x**4 + 3777 + 4*x**p + 70*x - 3802 + 10*x**3 - 60*x**2 = 0?
-5, 1
Suppose 2*j - 1064 = 4*v, -2*j + 3*v + 1057 = 6*v. Let 414*f**2 + 250*f + 104 - 277*f**2 - 344 + 458*f**2 - j*f**3 - 75*f**4 = 0. What is f?
-8, -2/3, 3/5, 1
Let h(i) be the second derivative of i**5/40 + 95*i**4/2 + 36100*i**3 + 13718000*i**2 - 9*i - 30. Let h(w) = 0. What is w?
-380
Determine o so that 4*o**4 + 28*o**2 - 7*o**4 + o**4 + 58*o**3 - 41*o**2 - 43*o**2 = 0.
0, 1, 28
Let g be 2/2*57/627 - 243/(-231). Let 59/7*s**3 - 4/7*s**5 + 39/7*s**2 + 24/7*s**4 + g*s + 0 = 0. What is s?
-1, -1/2, 0, 8
Let i(m) be the third derivative of m**8/462 - 3*m**7/77 - 19*m**6/220 + 269*m**5/330 - 69*m**4/44 + 12*m**3/11 - 3*m**2 + 46*m - 1. Solve i(o) = 0.
-3, 1/4, 1, 12
Let m = -374 - -396. Solve -m + 183*p - 14 - 222*p - 3*p**2 = 0.
-12, -1
Let a be (-10)/(-1) + 86376/(-6222) - -1*4. Solve 1568/17 + a*k**2 + 112/17*k = 0.
-28
Suppose 0 = 10*z - 24*z + 14. Let s be z*((-451)/(-55) + -8). Solve 22/5*j - 121/5 - s*j**2 = 0 for j.
11
Let q be 10*((-312)/(-60) - 5). Let d(t) be the third derivative of 0 - 1/24*t**6 - 25/8*t**4 - 26*t**q - 15/2*t**3 - t - 7/12*t**5. Let d(a) = 0. What is a?
-3, -1
Determine o, given that 570/11*o - 42/11*o**2 + 12274/11 - 2/11*o**3 = 0.
-19, 17
Let k(y) be the first derivative of -y**7/56 + y**6/72 + y**5/8 - 5*y**4/24 - 28*y**3/3 + 3*y**2/2 + 77. Let i(d) be the third derivative of k(d). Factor i(c).
-5*(c - 1)*(c + 1)*(3*c - 1)
Let u(g) = g**2 + 3*g - 14. Let c be u(-17). Suppose 223*r**2 + c*r**2 + 30*r + 40 - 442*r**2 = 0. What is r?
-4, -2
Determine r, given that 10*r**5 + 12*r**5 - 812*r**2 - 82*r**3 - 46*r**5 - 1784*r + 20*r**4 + 26*r**5 - 1232 = 0.
-11, -2, 7
Let a(b) be the first derivative of b**3/9 - 422*b**2 + 534252*b + 3783. Factor a(v).
(v - 1266)**2/3
Let m = 16 - 24. Let p = m - -11. Factor -p*l**2 - 2 + 1 + 3*l - 9*l - 2.
-3*(l + 1)**2
Suppose 5*q = 2*a + 27785, 3*q + a = 6*q - 16670. Solve q*v**2 - 8 - 12 - 5550*v**2 = 0.
-2, 2
Let b(m) = -4*m**2 - 29*m + 24. Let a be b(-8). Suppose -85*c + 89*c - 8 = a. Determine r so that 2*r**3 + 10/3*r - 1 - 1/3*r**4 - 4*r**c = 0.
1, 3
Let c(d) = -9*d**2 + 36*d - 37. Let k be c(15). Let q = -1518 - k. Solve 4/5*f**2 - 2/5*f**q - 4/5*f**3 + 2/5*f - 2/5 + 2/5*f**5 = 0 for f.
-1, 1
Let s(a) be the third derivative of a**6/40 - a**5/6 - 9*a**4/8 + 5*a**3/3 + 2*a**2 + 12. Factor s(l).
(l - 5)*(l + 2)*(3*l - 1)
Let b(o) be the second derivative of 5*o**7/42 - 35*o**6/6 + 343*o**5/4 - 2425*o**4/12 - 5360*o**3/3 - 3200*o**2 + 39*o + 8. Suppose b(z) = 0. Calculate z.
-1, 5, 16
Determine g, given that -55542*g + 55437*g - 14*g**3 + 11*g**3 - 75 - 33*g**2 = 0.
-5, -1
Suppose 4*m - 16 = -8*b, 83 = -3*m - 2*b + 91. What is n in 64/3*n - 52/3*n**m + 4/3*n**3 + 256 = 0?
-3, 8
Let d(z) = 14*z**2 - 198*z + 34. Let y be d(14). Let q(o) be the second derivative of -1/5*o**5 + 6*o**2 + 0 + 10/3*o**3 + 1/3*o**4 + y*o. Factor q(j).
-4*(j - 3)*(j + 1)**2
Let g = 59 - 54. Determine t so that 416*t**5 + 346*t**5 - 108*t**2 + 8*t - 186*t**g - 992*t**4 + 516*t**3 = 0.
0, 2/9, 1/4, 1
Let v = -16312 - -538363/33. Let i = v + 7/11. Factor i - 20/3*j + 4*j**2.
4*(j - 1)*(3*j - 2)/3
Determine p so that 180 - 14*p**2 + 42*p**3 + 16*p**3 + 180 - 222*p - 7*p**3 - 35*p**3 = 0.
-4, 15/8, 3
Let f be (-6)/30*-10*(-7)/(-126). Let u(t) be the second derivative of 0 - 2/3*t**3 + f*t**4 + 10*t + 4/3*t**2. Factor u(s).
4*(s - 2)*(s - 1)/3
Let j(k) = -4*k**2 + 15*k + 19. Let s(o) = -7*o**2 + 29*o + 36. Let x be ((-14)/21)/((-8)/60). Let v(b) = x*j(b) - 3*s(b). Suppose v(c) = 0. Calculate c.
-1, 13
Suppose -2*f + 0*f + 3 = b, -4*b + 15 = 5*f. Determine i so that -473*i + b*i**3 + 0*i**2 - 10 + 468*i + 10*i**2 = 0.
-2, -1, 1
Let q(g) = 5*g + 9. Let u be q(0). Solve 32 - 14 - 3*b**2 + 8*b - u - 13 = 0.
2/3, 2
Let h = 343394/12515 + 404/2503. Find u, given that -24/5 + 162/5*u**2 + 16/5*u**3 + 8*u - 56/5*u**5 - h*u**4 = 0.
-2, -1, -3/4, 2/7, 1
Let i(m) be the second derivative of m**4/48 - 11*m**3/24 + 5*m**2/4 + 200*m - 14. Factor i(v).
(v - 10)*(v - 1)/4
Suppose -5*u - 5*f = -40, f = -17 + 22. Determine x so that 7*x**4 + 9*x**4 - x**4 - 165*x**2 - 40*x**u - 50*x = 0.
-2, -1/3, 0, 5
Let i be 77/21 + 1/3. Suppose 4*t**2 - 51*t + 96*t - 45*t - i*t**4 = 0. Calculate t.
-1, 0, 1
Let m = -987 - -1942. Let u = 957 - m. Let -1/4*x**u + 3/8*x**3 + 0*x**4 - 1/8*x**5 + 0 + 0*x = 0. Calculate x.
-2, 0, 1
Let z(s) be the first derivative of -33 + 0*s + 43/2*s**2 - 1/3*s**3 - 1/18*s**4 + 1/90*s**5. Let k(p) be the second derivative of z(p). Factor k(h).
2*(h - 3)*(h + 1)/3
Let p(o) = 9*o**2 + 1060*o - 17. Let b(a) = a**2 + 132*a - 2. Let n(y) = -51*b(y) + 6*p(y). Factor n(r).
3*r*(r - 124)
Factor 38*u - 66*u - 29*u + 6*u**2 - u**2 + 42 + 10*u**2.
3*(u - 1)*(5*u - 14)
Let r(s) be the third derivative of -7/192*s**4 + 1/8*s**3 + 0*s - 1/1680*s**7 - 73*s**2 - 1/96*s**5 + 7/960*s**6 + 0. Determine o so that r(o) = 0.
-1, 1, 6
Let z be ((-216)/(-15) - 14)/((-22)/(-132)). Determine d, given that z*d**2 + 6/5*d**3 - 3/5*d**5 - 6/5*d**4 - 3/5*d - 6/5 = 0.
-2, -1, 1
Let c(r) be the second derivative of -r**4/54 - 49*r**3/27 - 196*r**2/3 - 3077*r. Factor c(t).
-2*(t + 21)*(t + 28)/9
Let v(k) be the second derivative of -2*k - 7/3*k**4 + 2/5*k**5 - 22*k**3 + 107 + 36*k**2. Suppose v(o) = 0. Calculate o.
-3, 1/2, 6
Let m(r) be the second derivative of 17/15*r**3 + 1/50*r**5 + 3 - 4/15*r**4 - 2*r**2 + 20*r. Let m(c) = 0. Calculate c.
1, 2, 5
Let k(j) be the first derivative of 2*j**5/95 + 13*j**4/38 - 46*j**3/57 - 117*j**2/19 + 252*j/19 - 4572. Determine l, given that k(l) = 0.
-14, -3, 1, 3
Let t(w) = -w**3 - 29*w**2 + 231*w + 8427. Let i be t(-24). Factor 0 - 6/5*c**i + 156/5*c**2 - 1014/5*c.
-6*c*(c - 13)**2/5
Let d(v) be the first derivative of -17*v**6/2 - 22551*v**5/35 - 476079*v**4/28 - 161181*v**3 - 38556*v**2 + 15876*v + 3588. Let d(x) = 0. Calculate x.
-21, -2/7, 2/17
Let w(q) be the second derivative of -2*q**6/15 - 13*q**5/5 - 55*q**4/3 - 50*q**3 + 2*q + 486. Find f such that w(f) = 0.
-5, -3, 0
Suppose 24 - 3/2*g**2 - 9*g = 0. What is g?
-8, 2
Let t be (1 + (-9)/1)*(13/(-13))/2. Factor 192/5*v**2 + 2/5*v**t + 256/5*v + 0 + 36/5*v**3.
2*v*(v + 2)*(v + 8)**2/5
Let o(q) be the first derivative of q**4/4 + 4*q**3/3 - 27*q**2/2 - 90*q + 640. Let o(d) = 0. What is d?
-6, -3, 5
Let o be 62/6 + (8 - (-198)/(-27)). Suppose 0 = -3*t - 7*i + o*i + 18, 9 = -3*t - 5*i. Find l such that -2*l - 14/3*l**t + 0 = 0.
-3/7, 0
Let w(m) be the first derivative of -66/5*m + 1/5*m**3 - 27/10*m**2 + 160. What is y in w(y) = 0?
-2, 11
Solve 904*y**3 + 35*y**5 + 86*y**3 - 150 - 153*y**4 - 207*y**4 + 949*y + 230*y**3 - 1650*y**2 - 44*y = 0.
2/7, 1, 3, 5
Let y(w) be the second derivative of w**4/16 - 461*w**3/4 + 637563*w**2/8 - 2*w + 1312. Factor y(i).
3*(i - 461)**2/4
Let y = -121 - -300. Let c = y + -179. Determine n, given that 0*n + 0*n**2 - 1/4*n**5 + c + 1/2*n**4 - 1/4*n**3 = 0.
0, 1
Let r(v) be the second derivative of -11*v**7/3150 + v**6/600 + v**5/75 - v**4/6 - v**2/2 + 7*v. Let u(j) be the third derivative of r(j). Factor u(b).
-2*(2*b - 1)*(11*b + 4)/5
Let c(p) be the second derivative of -p**5/10 - 469*p**4/24 - 6785*p**3/6 + 10443*p**2/4 + 3831*p. Factor c(x).
-(x + 59)**2*(4*x - 3)/2
Suppose 2*m = -5*l + 10, -4*l = -2*m + l - 10. Let t = -473 + 475. Factor 2/3*s**4 + 4/3*s + m + 8/3*s**3 + 10/3*s**t.
2*s*(s + 1)**2*(s + 2)/3
Let d(t) be the second derivative of t**10/50400 - 3*t**8/11200 - t**7/2100 - 89*t**4/12 + 68*t. Let k(g) be the third derivative of d(g). Factor k(m).
3*m**2*(m - 2)*(m + 1)**2/5
Let c be (-58)/(-261)*9225/(-6). Let y = c + 342. Factor -4/3*q + 4/3 + y*q**2.
(q - 2)**