3/3 - 28*j**2/11 - 16*j/11 + 2498. Factor v(x).
-2*(x + 2)**2*(5*x + 2)/11
Let o(i) = 3*i**2 + 1485*i - 4518. Let x(k) = 2*k**2 + 1061*k - 3227. Let n(z) = 13*o(z) - 18*x(z). Factor n(v).
3*(v - 3)*(v + 72)
Let -31*q**3 + 5*q**4 - 24145 + 101*q**3 - 540*q**2 + 23345 + 1160*q = 0. Calculate q.
-20, 2
Let g(a) be the first derivative of -11*a + 0*a**2 + 0*a**3 - 1/8*a**4 - 5 + 3/40*a**5. Let k(w) be the first derivative of g(w). Factor k(i).
3*i**2*(i - 1)/2
Let u = -21349/10 - -2135. Let m(d) be the first derivative of 0*d**2 - 1/3*d**3 - 8 - u*d**5 - 3/8*d**4 + 0*d. Suppose m(r) = 0. What is r?
-2, -1, 0
Suppose -4*k = -3*v + 796 + 1327, -4*k + 2*v - 2126 = 0. Let y = k + 535. Factor -6/17*d - 2/17*d**y + 0.
-2*d*(d + 3)/17
Let s(l) = -l**2 - 2*l. Let i(r) = -8*r**2 + 24*r + 200. Let j(q) = -q**2 - 25*q + 27. Let u be j(-26). Let o(n) = u*i(n) - 3*s(n). Factor o(g).
-5*(g - 10)*(g + 4)
Suppose 35*n = 27*n + 128. Let -33*b**4 + 37*b**4 + 144*b - 59 - 24*b**2 - n*b**3 - 49 = 0. Calculate b.
-3, 1, 3
Let h(i) be the second derivative of i**5/270 - 11*i**4/108 - 4*i**3/9 + 4*i**2 + 42*i. Let b(p) be the first derivative of h(p). Factor b(g).
2*(g - 12)*(g + 1)/9
Let y(h) be the second derivative of 2/5*h**5 + 2/21*h**7 - 2*h**2 - 13*h + 2/5*h**6 + 1 - 2*h**3 - 2/3*h**4. Find z, given that y(z) = 0.
-1, 1
Suppose -3*j + 8 - 6 = -q + 15, 4*j = -4. Find o, given that 32/3 - 2/3*o**2 + q*o = 0.
-1, 16
Let j(d) be the second derivative of -1/4*d**4 + 4*d**3 + 0*d**2 + 9 + d. Factor j(z).
-3*z*(z - 8)
Determine i, given that 75/2 + 1977/8*i**3 + 765/8*i**4 - 93/8*i**2 + 75/8*i**5 - 135*i = 0.
-5, -1, 2/5
Let i = 53047 + -29898. Factor i*x**4 - 23147*x**4 + x**2 - 3*x**2.
2*x**2*(x - 1)*(x + 1)
Let s(g) be the third derivative of g**6/300 - g**5/30 - 2*g**4/15 + 4*g**3/5 - 2*g**2 + 1636. Factor s(k).
2*(k - 6)*(k - 1)*(k + 2)/5
Suppose 42*h + 111*h**2 - 102*h**3 + 27 + 57*h + 99*h - 73*h**3 + 115*h**3 = 0. What is h?
-1, -3/20, 3
Let s(a) be the first derivative of a**6/6 - 9*a**4/4 - 4*a**3/3 + 6*a**2 - 3. Factor s(x).
x*(x - 3)*(x - 1)*(x + 2)**2
Suppose -4*l + 130 - 126 = 0. Let b be ((-9)/(-9))/(l/1). Factor 5*d - d**3 + d**2 - b + 0*d - 6*d + 2*d.
-(d - 1)**2*(d + 1)
Find v such that -298*v**5 + 557*v**4 - 145*v**4 + 91*v**5 + 4*v**3 = 0.
-2/207, 0, 2
Let h(f) be the second derivative of f**7/3 + 2*f**6/15 - 63*f**5/5 - 130*f**4/3 - 169*f**3/3 - 30*f**2 - 2645*f. Solve h(n) = 0.
-3, -1, -2/7, 5
Let q = 638937/1460 + -9/2920. Let m = 438 - q. Factor -9/4 + 1/2*o**2 + m*o - 1/8*o**3.
-(o - 3)**2*(o + 2)/8
Let h = -29 + 49. Let l be 33/4*h*16/40. Factor 0*z + z - z**2 - l + 70 - 4*z.
-(z - 1)*(z + 4)
Solve 57*i**3 - 9*i**4 - 170*i**2 - 803*i + 12*i**4 + 1500 - 1937*i + 4015*i + 575*i**2 = 0 for i.
-5, -4
Let n(r) be the first derivative of 4*r**5/25 - 3*r**4/5 - 20*r**3/3 - 42*r**2/5 + 450. What is c in n(c) = 0?
-3, -1, 0, 7
Let k(a) be the third derivative of -a**5/360 - 145*a**4/144 + 702*a**2. Solve k(l) = 0.
-145, 0
Let n be (-7)/(-1) - (-42 + 3888/80). Determine d, given that -4*d**2 + 2/15*d**5 + 18/5 + n*d**4 - 4/3*d**3 + 6/5*d = 0.
-3, -1, 1, 3
Factor 0 + 1/2*f**2 - 15/2*f + 1/8*f**3.
f*(f - 6)*(f + 10)/8
Suppose 19*l - 17*l - 6 = 0. Solve 0*j**4 + 7*j**2 - 4623*j**3 + 4623*j**l + 6*j - j**4 = 0 for j.
-2, -1, 0, 3
Let t = 12409 - 12407. Let v(i) be the first derivative of -5/7*i**3 - 3/7*i**t + 9/7*i - 30. Factor v(q).
-3*(q + 1)*(5*q - 3)/7
Let l = 1332 - 1143. Suppose 0 = l*a - 166*a - 46. Factor -13/2*r - 11/2*r**a - 1.
-(r + 1)*(11*r + 2)/2
Let k(q) be the second derivative of q**5/5 + 160*q**4/3 + 626*q**3/3 - 948*q**2 - 11*q - 166. Factor k(h).
4*(h - 1)*(h + 3)*(h + 158)
Let t = 894 + -13409/15. Let c(h) be the third derivative of 0*h + h**2 + 0*h**3 + 0*h**4 + t*h**5 + 0. Determine a, given that c(a) = 0.
0
Let u(i) be the second derivative of 8*i**6/15 + 751*i**5/10 + 8789*i**4/3 - 2209*i**3/3 + 251*i + 10. Factor u(v).
2*v*(v + 47)**2*(8*v - 1)
Let w(c) be the third derivative of c**8/2688 - 3*c**7/560 + c**6/48 + c**5/24 - c**4/2 + 4*c**3/3 - 93*c**2 - 6*c. What is g in w(g) = 0?
-2, 1, 2, 4
Let k = -30881/68 + 7784/17. Factor 1/4*o**3 - 9/4 - 7/4*o**2 + k*o.
(o - 3)**2*(o - 1)/4
Solve 6798555 - 38*l**2 - 10*l**4 - 6798555 - 42*l**3 - 6*l = 0 for l.
-3, -1, -1/5, 0
Let p = 326162968/341 + -956487. Let x = -3/31 + p. What is m in x*m - 8/11*m**4 + 25/11*m**3 - 8/11 - 38/11*m**2 + 1/11*m**5 = 0?
1, 2
Let u(h) = h**2 + 12*h + 22. Let t be u(-10). Determine y, given that -50*y**2 - 53*y**2 - 3*y**3 + 152*y**t + 3*y**4 - 55*y**2 = 0.
-1, 0, 2
Let h(w) be the first derivative of 3/5*w**5 - 15/4*w**4 + 0*w + 15/2*w**2 + 34 - w**3. Factor h(q).
3*q*(q - 5)*(q - 1)*(q + 1)
Let d(i) = -i + 6. Let k be d(6). Let b(t) = -t**3 - 51*t**2 - 134*t - 6834. Let f be b(-51). Factor f*y**3 + 0*y + k + 0*y**2 - 1/5*y**4 + 1/10*y**5.
y**4*(y - 2)/10
Let w(g) = 40*g**2 + 3551*g - 801. Let c be w(-89). Let c*r - 4/9*r**4 + 2/9*r**3 + 0*r**2 + 0 + 2/9*r**5 = 0. Calculate r.
0, 1
Let f = 307257/5 + -61449. Factor 11/5*q - 1/5*q**2 + f.
-(q - 12)*(q + 1)/5
Let h(b) be the third derivative of -b**7/1680 - b**6/90 + 3*b**5/80 + 61*b**3/3 - 15*b**2 + 2*b. Let c(u) be the first derivative of h(u). Factor c(f).
-f*(f - 1)*(f + 9)/2
Suppose -16*c + 49 = 3*t, -c + 190*t + 14 = 188*t. Let u(a) be the second derivative of -1/4*a**c + 0 + 0*a**2 - 2*a + 1/4*a**3. Factor u(r).
-3*r*(2*r - 1)/2
Let q = 104 - 101. Let 13*m**4 + 2*m**5 + 16*m**3 + 21*m**2 - 13*m**2 - q*m**4 = 0. What is m?
-2, -1, 0
Suppose -177 = 22*i - 441. Factor -48*r**2 + 46*r**2 + 3 - 6 - i*r - 15.
-2*(r + 3)**2
Let i = -384088/143 + 29552/11. Let -8/13 - 2/13*c**3 + i*c + 2/13*c**2 = 0. Calculate c.
-2, 1, 2
Let l(a) be the third derivative of -14*a - 5*a**3 + 4*a**2 - 13/40*a**5 - 2*a**4 + 0 - 1/80*a**6. Factor l(h).
-3*(h + 1)*(h + 2)*(h + 10)/2
Let k = -28292/3 + 9434. Let q(a) be the second derivative of -2/3*a**4 + k*a**3 + 0 + 1/42*a**7 - 10*a + 1/15*a**6 + 8*a**2 - 11/20*a**5. Factor q(m).
(m - 2)**2*(m + 1)**2*(m + 4)
Let m be (-3 + 1)/(4*(-1)/10). Suppose -m*f + 11 = 2*i, 2*i + 2*i - 5*f = 7. Factor 0 + 5/6*p**2 - 7/6*p**i + 1/3*p.
-p*(p - 1)*(7*p + 2)/6
Factor 2/5*k**5 + 0*k + 328/5*k**3 + 64*k**2 + 88/5*k**4 + 0.
2*k**2*(k + 2)**2*(k + 40)/5
Let y(b) = 2*b**2 - 1. Let x be y(1). Suppose -8 = k + x. Let v(a) = 2*a**2 - 15*a - 12. Let l(j) = 3*j**2 - 30*j - 24. Let t(z) = k*v(z) + 5*l(z). Factor t(g).
-3*(g + 1)*(g + 4)
Let v(n) be the second derivative of -5*n**2 - 2 + 120*n - 1/18*n**4 + 8/9*n**3. Determine t so that v(t) = 0.
3, 5
Let v(a) = 28*a**3 + 1600*a**2 + 500*a - 2168. Let d(i) = -2*i**3 + 3*i**2 + 3*i + 1. Let f(y) = -8*d(y) - v(y). What is c in f(c) = 0?
-135, -4/3, 1
Let j(o) be the third derivative of 0*o + 1/12*o**5 + 1/24*o**6 + 50*o**2 + 0 - 5/4*o**4 + 0*o**3. Determine y, given that j(y) = 0.
-3, 0, 2
Let c(i) be the second derivative of i**6/15 + 3*i**5/5 + 5*i**4/6 - 8*i**3 - 36*i**2 - 12*i + 26. Solve c(a) = 0.
-3, -2, 2
Let s(z) = 204*z**3 + 318*z**2 + 1266*z + 921. Let g(c) = 39*c**3 + 64*c**2 + 253*c + 184. Let a(l) = 21*g(l) - 4*s(l). Factor a(n).
3*(n + 1)*(n + 3)*(n + 20)
Suppose -2*u - 91 = -1. Let t be (-24)/(-4) + u/10. Factor -t*d**4 + 0 + 0*d**2 + 0*d - 3/4*d**3 - 3/4*d**5.
-3*d**3*(d + 1)**2/4
Let p = -54634 - -273186/5. Determine y, given that 6/5 - 3/5*y**3 - 23/5*y + p*y**2 = 0.
1/3, 2, 3
Let s = 1213/99 - 1147/99. Suppose -8*p + 16/3*p**2 + s*p**3 - 96 = 0. Calculate p.
-6, 4
Let r be (5/165)/(5/(-80)) - 4/(-6). Suppose 0 + 2/11*f**2 + 0*f - 6/11*f**5 + 6/11*f**3 - r*f**4 = 0. Calculate f.
-1, -1/3, 0, 1
Let s(l) be the first derivative of -5*l**6/6 + 11*l**5 - 75*l**4/2 - 280*l**3/3 + 880*l**2 - 1920*l + 2319. Factor s(o).
-5*(o - 4)**3*(o - 2)*(o + 3)
Solve -1/3*x**4 - 5/3*x**2 - 8/3*x**3 + 0 + 14/3*x = 0.
-7, -2, 0, 1
Let s(q) be the first derivative of 3*q**5/10 - 21*q**4/8 - 9*q**3/2 + 189*q**2/4 + 834. Factor s(g).
3*g*(g - 7)*(g - 3)*(g + 3)/2
Factor -3076*n**3 + 1518*n**3 - 30*n**2 + 3*n**4 + 1561*n**3 + 24*n.
3*n*(n - 2)*(n - 1)*(n + 4)
Let v(t) be the third derivative of -125/2*t**3 + 0 - 5/4*t**4 + 0*t - 55*t**2 - 1/100*t**5. Factor v(g).
-3*(g + 25)**2/5
Suppose 331*z + 252 = 914. Factor 30/11 - 16/11*s + 2/11*s**z.
2*(s - 5)*(s - 3)/1