 third derivative of 36*j**2 - 1/270*j**5 - 1/54*j**4 + 0*j + 0 - s*j**3. Determine i so that n(i) = 0.
-1
Let p(d) = d**3 + 20*d**2 - 383*d - 7220. Let r be p(-23). What is i in -16384/7 - 512/7*i - 4/7*i**r = 0?
-64
Let q(a) be the first derivative of 0*a - 6*a**2 + 13/84*a**4 + 11 - 1/42*a**5 + 2/7*a**3. Let r(f) be the second derivative of q(f). Find b such that r(b) = 0.
-2/5, 3
Let v(i) be the first derivative of i**5/20 + 13*i**4/16 + 4*i**3 + 9*i**2/2 - 9175. Factor v(h).
h*(h + 1)*(h + 6)**2/4
Let n(t) be the third derivative of 0*t - 234*t**2 + 16/7*t**3 + 1/735*t**7 + 20/21*t**4 + 0 + 1/35*t**6 + 8/35*t**5. Factor n(v).
2*(v + 2)**3*(v + 6)/7
Let p be (136/20)/((-1)/(-1))*10/48. Determine o, given that 1/12*o**4 - p*o**3 + 0 + 31/12*o**2 - 5/4*o = 0.
0, 1, 15
Let a(u) = 7947*u. Let i be a(0). Let i*y - 3/2*y**5 - 27/2*y**2 + 27/2*y**3 + 3/2*y**4 + 0 = 0. What is y?
-3, 0, 1, 3
Suppose 0 = 57*m + 1542*m. Suppose 0*p**3 - 2*p**2 - 4/3*p + 2/3*p**4 + m = 0. Calculate p.
-1, 0, 2
Let j(x) = 2*x**3 - 36*x**2 + 165*x + 212. Let k(i) = -3*i**3 + 53*i**2 - 247*i - 317. Let m(f) = -14*j(f) - 9*k(f). Factor m(a).
-(a - 23)*(a - 5)*(a + 1)
Suppose 2*p + w = 132, p - 49*w + 54*w = 75. Suppose p*f - 44*f - 63 = 0. Find v such that 2/19 - 8/19*v**f + 4/19*v + 4/19*v**5 + 2/19*v**4 - 4/19*v**2 = 0.
-1, -1/2, 1
Suppose -h = -2*u + 7*u - 5, 4*u = 4*h + 4. Let t(n) be the first derivative of n**4 + 0*n**3 + 4 + 12/5*n**5 + h*n**2 + 0*n. Determine v so that t(v) = 0.
-1/3, 0
Let 8*c + 1/2*c**5 + 0*c**2 - 4*c**3 + 0 + 0*c**4 = 0. Calculate c.
-2, 0, 2
Let l(a) = -18*a**2 - 41*a - 7. Let n(r) be the second derivative of -5*r**4/6 - 10*r**3/3 - 2*r**2 - 47*r. Let s(d) = -4*l(d) + 7*n(d). Factor s(j).
2*j*(j + 12)
Suppose 277*k + 3 = 278*k. Factor 20*n + 32*n - k*n**2 - 203 + n**2 - 189 + 54.
-2*(n - 13)**2
Let k = 27 - 22. Let o(i) = 80*i + k - 81*i - 4. Let n(x) = 2*x**2 + 3*x + 3. Let m(t) = n(t) - 3*o(t). Let m(s) = 0. What is s?
-3, 0
Let s(l) = -2*l**2 + 2*l + 2. Let d be s(0). Factor -2*g**2 + 0*g**d - 571 + 68*g - 7.
-2*(g - 17)**2
Let d(r) be the third derivative of 0*r - 10*r**2 + 1/120*r**6 + 13/24*r**4 - r**3 + 4 - 2/15*r**5. Factor d(c).
(c - 6)*(c - 1)**2
Let z(i) be the first derivative of 4*i**5/5 + 11*i**4 + 32*i**3/3 - 40*i**2 + 1072. Let z(f) = 0. Calculate f.
-10, -2, 0, 1
Let w be 24/42 - (-24)/(-126)*-39. Let l be (18/(-16))/((-6)/w). Factor -11/2*u**2 - l*u**3 + 0 + 2*u.
-u*(u + 4)*(3*u - 1)/2
What is k in -492032/11 - 2/11*k**2 - 1984/11*k = 0?
-496
Factor -17/4*k**2 - 7/4*k**3 - 17/4*k - 3/2 - 1/4*k**4.
-(k + 1)**2*(k + 2)*(k + 3)/4
Let n(f) be the third derivative of 5*f**2 + 0*f - 1 + 6724/15*f**3 + 1/150*f**5 - 41/15*f**4. Determine d, given that n(d) = 0.
82
Let j(b) be the third derivative of 13/8*b**4 + 3*b**2 + 0*b**3 + 0*b + 10 + 1/20*b**5. Factor j(o).
3*o*(o + 13)
Suppose 61 = 2*u + 73. Let d be (5/((-15)/u))/(2/5). Find z, given that 28*z**3 - 13*z**3 - 4*z - 2*z**d - 4*z - 5*z**3 = 0.
-2, -1, 0, 1, 2
Suppose -72 = -5*t + 2*i, t - 4*i - 6 = 12. Suppose 0 = 10*b + t - 174. Factor b*j**2 + 12*j + 73 + 5*j**3 - j**3 - 73.
4*j*(j + 1)*(j + 3)
Let q(w) = 17*w**2 - 52*w + 7. Let h(n) = 5*n**2 - 17*n + 2. Let d(p) = -7*h(p) + 2*q(p). Let y be d(15). Factor 3/7*s**2 + y + 3/7*s.
3*s*(s + 1)/7
Let j(t) be the second derivative of -14*t**4 - 7*t + 1 - 8/7*t**7 - 3*t**2 + 141/20*t**5 + 4/5*t**6 + 19/2*t**3. What is u in j(u) = 0?
-2, 1/4, 1
Let j be -4*(-28)/32*6 - 5. Factor 23 + 4*h**4 + 36*h**3 + 4*h**2 + 18*h**2 + 50*h**2 - j*h - 119.
4*(h - 1)*(h + 2)**2*(h + 6)
Suppose 0 = 13*s - 55*s + 42. Let o be -7*s + 602/86. Factor 2/3*q + o + 2/9*q**2.
2*q*(q + 3)/9
Let s(x) be the second derivative of -5*x**4/12 + 215*x**3/2 + 325*x**2 - 72*x. Solve s(f) = 0 for f.
-1, 130
Factor -1/6*h**2 - 521/3*h - 271441/6.
-(h + 521)**2/6
Let l(j) = 9*j + 96. Let r be l(-8). Factor 20 - 4*h**2 + 4*h**3 - r*h - 12*h**2 + 20*h**3 - 4*h**4.
-4*(h - 5)*(h - 1)**2*(h + 1)
Suppose -59*r + 356*r = 594. Find g, given that 10/13*g**r + 0 + 8/13*g**3 + 4/13*g + 2/13*g**4 = 0.
-2, -1, 0
Let h(g) = g**3 + 17*g**2 + 32*g + 31. Let p be h(-15). Let n be p*6*(5 + 45/(-10)). Factor -28*z**2 - 15*z + 8*z**3 + 90 + 8*z**2 - n*z**3.
5*(z - 3)**2*(z + 2)
Let f(d) = -4*d**3 - 88*d**2 + 92*d - 6. Let r(x) = -9*x**3 - 177*x**2 + 186*x - 15. Let o(z) = -5*f(z) + 2*r(z). Factor o(a).
2*a*(a - 1)*(a + 44)
Let p(f) be the third derivative of 1/210*f**7 - 1/30*f**5 + 1/15*f**6 - 1/84*f**8 - 1/6*f**4 + 1/6*f**3 - f**2 + 0*f + 12. Suppose p(a) = 0. Calculate a.
-1, 1/4, 1
Let j(a) = a**2 + 30*a + 177. Let x be j(-8). Let q be x/((-28)/12 - -3). Factor 3*v**2 + 0*v - q*v**3 + 0.
-3*v**2*(v - 2)/2
Let u = -5116 - -5125. Let v(a) be the first derivative of -10*a + 1/2*a**4 - u*a**2 - 19 - 2*a**3. Let v(s) = 0. Calculate s.
-1, 5
Suppose -753*a = -520 + 520. Factor -3/8*i**2 + 15/8*i + a.
-3*i*(i - 5)/8
Find k, given that -50577/4*k**3 - 115902*k + 801/4*k**4 + 225228 - 387525/4*k**2 - 3/4*k**5 = 0.
-4, 1, 137
Suppose 65*j**2 + 461 + 99 - 89*j**2 + 3452*j + 16 = 0. What is j?
-1/6, 144
Let p be 4/5 + (-387)/15. Let j = -22 - p. Factor -9*f - 5*f**j + 3*f + 21*f - 10.
-5*(f - 1)**2*(f + 2)
Let y(s) be the first derivative of -s**5/5 - 6*s**4 + 7*s**3/3 + 81*s**2 - 144*s - 1399. Determine q so that y(q) = 0.
-24, -3, 1, 2
Let l(j) = -j**2 + 4*j - 16. Let g be l(7). Let h = g - -46. Determine v so that h*v**4 + 2*v**2 - 18*v**4 + 8*v**2 - 5 + 4*v**4 = 0.
-1, 1
Factor 1380 - 4*m**2 + 31182*m - m**2 - 31237*m.
-5*(m - 12)*(m + 23)
Let a = -532 + 536. Suppose -7*u - 78 = -92. Suppose -24/7*s**a - 6/7*s - 4/7 + 4*s**2 + u*s**5 - 8/7*s**3 = 0. Calculate s.
-1, -2/7, 1
Let t be 3530/(-10) + 3 + -1 + -1. Let c = -350 - t. Factor -2/23*p**3 + 6/23*p - 4/23 + 0*p**c.
-2*(p - 1)**2*(p + 2)/23
Let g be (-22)/(-2 - 1*(2 - 3)). Find u such that 3*u**2 - g*u**3 + 9*u**5 - 3*u**4 - 5*u**3 + 18*u**3 = 0.
-1, 0, 1/3, 1
Factor -15*t**4 - 5*t**4 + 17*t**3 + 20*t**2 - 11*t**5 - 50*t + 13*t**5 + 31*t**3.
2*t*(t - 5)**2*(t - 1)*(t + 1)
Suppose 503 = -18*k + 3833. Let h be -7*(k/(-35) + 5). Let -15 + 6*z - 3/5*z**h = 0. What is z?
5
Suppose 23*i - 24*i = 4, 6 = 2*y - i. Let j be -155*9/(-135) - y. Find r such that 49/3*r**2 + j*r + 4/3 = 0.
-2/7
Let q = 22458/7 - 3208. Factor -q*z**3 + 2/7*z - 6/7*z**2 + 4/7 + 2/7*z**4.
2*(z - 2)*(z - 1)*(z + 1)**2/7
Let h = 520 - 476. Suppose 16*z - 76 = -h. What is g in 4/7*g + 2/7*g**z + 2/7 = 0?
-1
Let h(q) be the first derivative of q**5/20 + q**4/16 - q**3 - 1145. Determine y so that h(y) = 0.
-4, 0, 3
Factor 459 + 57*h**2 - 85 + 396*h + 195 + 211 - 54*h**2.
3*(h + 2)*(h + 130)
Let w(o) = o**2 + 59. Let v be w(0). Suppose 23 = -18*i + v. Find b such that -3/2*b + 1 + 1/2*b**i = 0.
1, 2
Let r(n) be the third derivative of n**8/1512 - 2*n**7/189 - 7*n**6/540 + 38*n**5/135 - 5*n**4/9 + 827*n**2. Let r(y) = 0. Calculate y.
-3, 0, 1, 2, 10
Let t = -5524 + 5528. Let j(f) be the third derivative of -1/6*f**5 - 1/12*f**6 + 1/42*f**7 + 0 + 0*f + 5/336*f**8 + 5/24*f**t + 4*f**2 + 5/6*f**3. Factor j(y).
5*(y - 1)**2*(y + 1)**3
Let g(t) be the third derivative of t**5/15 + 181*t**4/3 - 242*t**3 - t**2 - 1119. Factor g(z).
4*(z - 1)*(z + 363)
Let n(q) be the second derivative of q**7/399 + 2*q**6/285 - 6*q**5/95 + 7*q**4/57 - 5*q**3/57 - 17*q + 10. Factor n(h).
2*h*(h - 1)**3*(h + 5)/19
Suppose -172*r + 501 = -5*r. Let b(j) be the first derivative of 0*j - 1/8*j**4 + 1/6*j**r - 17 + 1/2*j**2. Solve b(s) = 0.
-1, 0, 2
Let z be (32200/460)/(2/(-2*(-2)/8)). Let b(s) be the first derivative of 10/3*s**3 + 15*s - 4 - z*s**2. Solve b(c) = 0.
1/2, 3
Let y = 49589/436 - 12370/109. Factor l**2 + l + y*l**3 + 0.
l*(l + 2)**2/4
Let o be ((-15)/10)/(1/(-2)). Factor 21*q - 23*q - 3*q**o + 2*q + 30*q**2.
-3*q**2*(q - 10)
Let l = -30570 - -30602. Let i(o) be the first derivative of 2/65*o**5 + 0*o**2 + 1/26*o**4 - 2/39*o**3 + l + 0*o - 1/39*o**6. Let i(h) = 0. Calculate h.
-1, 0, 1
Solve -468/11*x - 334/11*x**3 - 762/11*x**2 + 0 - 38/11*x**4 + 2/11*x**5 = 0.
-3, -1, 0, 26
Let d = 28 - 25. Let m(c) be the third derivative of -11/60*c**5 + 0 + 0*c + 35/24*c**4 + 1/120*c**6 - 32*c**2 - 25/6*c**d. Determine u, given that m(u) = 0.
1, 5
Let x(g) = -g**3 - 3*g**2 - 3*g + 3. Let b(k) = -10*k**3 