actor u(d).
-4*(d - 80)*(2*d + 1)
Let n = 481/24 - 155/8. Let t = 2/57 - -17/57. Solve -t*c**5 + 0 + 5/3*c**2 + n*c + c**3 - 1/3*c**4 = 0.
-1, 0, 2
Let t be (-11)/((-121)/16434) + -9. Suppose 8*a + 1485 - t = 0. Suppose 3/8*u**2 + 0 - 3/8*u**4 + 0*u**3 + a*u = 0. Calculate u.
-1, 0, 1
Let j(u) be the first derivative of 7*u**5 - 115*u**4/4 + 100*u**3/3 - 10*u**2 - 766. Solve j(a) = 0 for a.
0, 2/7, 1, 2
Let y = 19 + 3. Suppose 20*a - y*a + 270 = 0. Let -a*k**3 + 19*k - 120*k**2 - 59 + 7*k - k + 69 = 0. Calculate k.
-1, -2/9, 1/3
Factor -6*m**2 - 2*m + 1/2*m**3 + 24.
(m - 12)*(m - 2)*(m + 2)/2
Let w be 1736/2730 - ((-215)/(-75) + -3). Factor 2/13*p**2 - w + 8/13*p.
2*(p - 1)*(p + 5)/13
Let d = 1927 - 1923. Let j(k) be the first derivative of 1/3*k**2 - 4/3*k - 1/6*k**d + 4/9*k**3 - 7. Let j(q) = 0. Calculate q.
-1, 1, 2
Let d(z) be the first derivative of -64/15*z**3 - 26 - 24/5*z**2 - 3/5*z**4 + 64/5*z. Factor d(c).
-4*(c + 2)*(c + 4)*(3*c - 2)/5
What is i in 15 + 23/2*i**2 - 121/2*i = 0?
6/23, 5
Let l be (-44)/(-16) + 3/12. Suppose 7 = 5*c - l. What is b in -30*b**2 + b**4 - b**5 + b**3 - 5*b**4 + 3*b**4 + 31*b**c = 0?
-1, 0, 1
Let g = 19084/6815 - 2/6815. Determine c, given that g*c - 2/5*c**2 + 0 = 0.
0, 7
Let d be (((-100)/(-16))/(-5))/((-30)/60*10). Determine x so that 0 - 64*x**2 - 8*x**3 - d*x**4 + 0*x = 0.
-16, 0
Factor 356*m - 4/3*m**2 + 2152/3.
-4*(m - 269)*(m + 2)/3
Let d(w) be the third derivative of -w**7/1470 - 31*w**6/840 + 5*w**5/21 - 17*w**4/42 - 236*w**2 + 4. Factor d(c).
-c*(c - 2)*(c - 1)*(c + 34)/7
Let d(q) = -29*q**2 - 77*q + 3*q**3 - 12*q**3 + 29 + 3*q**3 - q**3 + 6*q**3. Let c be d(-26). Determine b so that 3 - 39/7*b + 3/7*b**c + 15/7*b**2 = 0.
-7, 1
Let i(o) be the third derivative of 0*o**3 - 1/30*o**6 + 1/168*o**8 + 0 + 0*o**7 + 6*o + 9*o**2 + 0*o**5 + 1/12*o**4. Factor i(b).
2*b*(b - 1)**2*(b + 1)**2
Let c(p) = 6*p**5 + 4*p**3 + 16*p**2 + 25*p + 19. Let x(v) = v**5 + v**4 + v**3 - v**2 - v + 1. Let z(o) = -3*c(o) + 21*x(o). Determine l, given that z(l) = 0.
-6, -1, 2
Let n(o) = 18*o - 16. Let f be n(1). Factor -10*g - f*g**2 - 5 + g + 35 - g**2.
-3*(g - 2)*(g + 5)
Find c, given that 55*c**3 + 6011031 - 20*c - 6011031 - 100*c**2 = 0.
-2/11, 0, 2
Let l = 61364/7 - 306792/35. Factor 14/15*c**3 + l - 34/15*c - 32/15*c**2.
2*(c - 3)*(c + 1)*(7*c - 2)/15
Let z(n) = -31*n**3 + 6*n**2 + 3*n - 3. Let t be z(-2). Let -125 - t*v**2 - 840*v**4 + 80*v**5 - 222*v**2 - 170*v**2 + 2365*v**3 - 825*v = 0. What is v?
-1/4, 1, 5
Let j(m) be the third derivative of -m**6/8 + 5*m**5/3 + 135*m**4/2 - 560*m**3/3 + 4323*m**2. Determine w so that j(w) = 0.
-8, 2/3, 14
Let u(q) be the second derivative of 5*q**5/66 + 155*q**4/66 + 961*q**3/33 + 153*q**2/2 + q + 53. Let l(i) be the first derivative of u(i). Solve l(f) = 0.
-31/5
Let m = -5801 - -5804. Let d(w) be the second derivative of -5/6*w**m + 0 - 2*w - 25/24*w**4 - 1/4*w**2. Find l, given that d(l) = 0.
-1/5
Solve 2/5*x**3 + 28/5*x - 14/5*x**2 - 16/5 = 0 for x.
1, 2, 4
Suppose 300 - 164 = 68*l. Solve 0 - 2/7*v**l - 16/7*v = 0 for v.
-8, 0
Determine s so that -16/3*s**3 - 2/3*s**4 + 0 - 20/3*s - 34/3*s**2 = 0.
-5, -2, -1, 0
Let f(l) be the third derivative of -l**7/735 - l**6/21 + 31*l**5/70 - 6*l**4/7 + 815*l**2. Solve f(a) = 0 for a.
-24, 0, 1, 3
Let d = 169983 - 169980. Factor 0 + 8/3*g**2 + 14/3*g**d - 2/3*g**5 + 0*g + 4/3*g**4.
-2*g**2*(g - 4)*(g + 1)**2/3
Suppose 6*q - 393 + 15 = 0. Let o be (q/(-126))/((-2)/12). Suppose 0 - 3/7*k**2 + 3/7*k + 3/7*k**4 - 3/7*k**o = 0. What is k?
-1, 0, 1
Let f(q) = 19*q**2 - 9842*q - 4831445. Let b(i) = -8*i**2 + 3937*i + 1932578. Let r(k) = -12*b(k) - 5*f(k). Factor r(n).
(n + 983)**2
Let d be ((6 - -7) + -17)*3*1. Let t be 1*(d/(-15))/(6/5). Factor 13/3*p - t - 2*p**2.
-(p - 2)*(6*p - 1)/3
Let c(l) be the second derivative of 4/5*l**5 + 43 - 3*l - 182/5*l**4 - 17576/5*l**2 + 10816/15*l**3 - 1/150*l**6. Factor c(x).
-(x - 26)**3*(x - 2)/5
Let w(o) be the second derivative of -8/35*o**5 + 6/7*o**4 + 8/7*o**2 - 32/21*o**3 + 0 + 1/42*o**6 + 15*o. Find k such that w(k) = 0.
2/5, 2
Let f(n) be the third derivative of 3/100*n**6 - 1/5*n**4 + 1/560*n**8 + 0*n**3 + 0*n - 2*n**2 + 1/25*n**5 + 21 - 1/70*n**7. What is w in f(w) = 0?
-1, 0, 2
Suppose -2*f + s + 17 = -0*s, 4*s = 4*f - 44. Let l = 270 - 268. Let 14*t - f*t - 2*t + l*t**3 - 2 - 6*t**2 = 0. What is t?
1
Let x be (-6)/(-7) + (-16571)/2044 - 16/(-2). Find c such that -3/2 - x*c**2 + 21/8*c - 3/8*c**3 = 0.
-4, 1
Let m(f) be the first derivative of -f**7/210 + 4*f**6/15 - 24*f**5/5 + 65*f**3/3 - 14. Let k(g) be the third derivative of m(g). Factor k(w).
-4*w*(w - 12)**2
Let c = 12082/3 + -4026. Let b(q) be the first derivative of 0*q - 3/2*q**4 + q**2 + c*q**3 + 7. Factor b(w).
-2*w*(w - 1)*(3*w + 1)
Let r(q) be the third derivative of 1/45*q**5 + 16*q**2 - 14/9*q**3 + 0 + 1/3*q**4 + 0*q. Factor r(j).
4*(j - 1)*(j + 7)/3
Suppose -1777*b - 10 + 4*b**3 + 38*b**2 + 457*b - 85*b**2 - 1142 - 117*b**2 = 0. Calculate b.
-6, -1, 48
Let y(q) = q**3 - 8*q**2 - 619*q + 4955. Let h be y(8). Suppose -40/7 - 16/7*l + 22/7*l**h + 4/7*l**4 + 30/7*l**2 = 0. Calculate l.
-5/2, -2, 1
Let y be -4*95/(-180) + (1 - -2). Let o = y + -194/45. Let 6/5*t**2 - 4/5*t**3 + 1/5 - o*t + 1/5*t**4 = 0. Calculate t.
1
Let m(w) be the third derivative of -13/180*w**5 + 1/630*w**7 + 5/36*w**4 + 0*w + 0*w**3 + 1/180*w**6 - 41*w**2 + 0. Solve m(l) = 0 for l.
-5, 0, 1, 2
Let t(n) = -127*n - 125. Let a be t(-1). Let k(v) = -v**2 + v + 2. Let w be k(0). Solve 6*h - 4*h**2 - 33*h**3 - 11*h**a - 12*h**4 + 0*h**w = 0.
-2, -1, 0, 1/4
Let b(t) be the first derivative of t**4/8 + 10*t**3/3 - 69*t**2/4 + 33. Factor b(y).
y*(y - 3)*(y + 23)/2
Let p(o) be the third derivative of -o**6/200 + 227*o**5/20 - 40186*o**4/5 - 161312*o**3/5 + 271*o**2 - 1. Factor p(v).
-3*(v - 568)**2*(v + 1)/5
Let i be (-36 - 5454/(-162))/((-7)/9). Factor 0 + 0*t - 4/3*t**2 - 1/3*t**5 + t**4 + 0*t**i.
-t**2*(t - 2)**2*(t + 1)/3
Let w(u) = -3*u**3 + u**2 + 2*u**2 - u**4 + 10*u**3 + 2*u**4 - 3. Let q(b) = b**4 - b**3 - b**2 + 1. Let a = -409 - -412. Let c(z) = a*q(z) + w(z). Factor c(f).
4*f**3*(f + 1)
Let b(l) be the third derivative of -l**5/15 - 379*l**4 + 9104*l**3/3 - 15234*l**2. Find g such that b(g) = 0.
-2276, 2
Let u(p) be the first derivative of p**4 - 452*p**3/3 - 928*p**2 - 1872*p + 1197. Find q such that u(q) = 0.
-2, 117
Suppose 143*n - 720 = -178*n - 230*n + 191*n. Factor -1/4*q**n - 3/4*q + 1.
-(q - 1)*(q + 4)/4
Let d(h) be the first derivative of 169*h**3/15 - 1833*h**2/5 + 19881*h/5 - 1655. Let d(f) = 0. Calculate f.
141/13
Find n, given that -184/5*n**3 - 4/5*n**4 - 2196/5*n**2 - 6032/5 - 6704/5*n = 0.
-29, -13, -2
Suppose 1 = y - z, 5*y - 9 = -5*z + 8*z. Let t(c) be the third derivative of 0*c**4 - 2/27*c**y + 0 + 6*c**2 + 1/135*c**5 + 0*c. Factor t(b).
4*(b - 1)*(b + 1)/9
Let d(s) = s**2 - 10*s + 29. Let f be d(6). Suppose -f*j + b + 1 = -9, 4*b = -5*j + 10. Solve -16/3*z + 16/3*z**j + 4/3*z**3 + 0 - 4/3*z**4 = 0 for z.
-2, 0, 1, 2
Let q = -47159 + 47162. Factor 0*c + 3/7*c**5 + 0 - 3/7*c**q + 3/7*c**2 - 3/7*c**4.
3*c**2*(c - 1)**2*(c + 1)/7
Let t(i) = -11*i - 558. Let y be t(-51). Suppose -y*l + 5*r = -16, 5*r - 2 = -4*l - 4. Factor 0 - 12/5*f**l - 4/5*f - 8/5*f**3.
-4*f*(f + 1)*(2*f + 1)/5
Let x(c) be the third derivative of c**10/1134000 - c**9/453600 - 221*c**5/60 - 235*c**2. Let b(j) be the third derivative of x(j). Factor b(r).
2*r**3*(r - 1)/15
Let v(o) be the third derivative of 0*o**3 - 1/20*o**5 + 11 - 3*o**2 + 1/112*o**8 + 0*o**4 + 1/70*o**7 - 1/40*o**6 + 0*o. Factor v(y).
3*y**2*(y - 1)*(y + 1)**2
Suppose 1087/4*i**2 + 0 - 545/4*i**3 + 1/4*i**4 - 543/4*i = 0. Calculate i.
0, 1, 543
Let i be ((-21)/9 + (-12)/(-9))/(-9 + 2). Factor 63 - 6*g + i*g**2.
(g - 21)**2/7
Let h = -399 - -397. Let i(d) = -4*d**4 + 15*d**3 - 36*d**2 + 33*d + 2. Let z(t) = 2*t**4 - 8*t**3 + 18*t**2 - 16*t. Let l(w) = h*i(w) - 5*z(w). Solve l(a) = 0.
1, 2
Let t(p) = -2 + 5*p**4 + 40*p + 62*p**3 - 22*p**3 - 3 - 26*p**3 - 24*p**3 - 20*p**2. Let u(l) = -1. Let v = -3 + 4. Let m(k) = v*t(k) - 5*u(k). Factor m(x).
5*x*(x - 2)**2*(x + 2)
Suppose -y = 2, -4*v + 0*y + 30 = -5*y. Let a be 1/3*v/(35/42). Find u such that 0*u**a + 8 - 2*u**2 + 5*u - 5*u = 0.
-2, 2
Let i(h) be t