8734/61957. What is x in 3*x**2 - 12/7 + h*x = 0?
-2, 2/7
Let o(k) = -2*k**3 - 2*k**2 + 2*k + 8. Let j be o(-3). Factor -t**4 + 0*t**4 - j*t**3 + 41*t**3.
-t**3*(t - 3)
Let z(n) be the third derivative of n**5/140 - n**4/28 - 312*n**3/7 + 58*n**2 - 9*n. Factor z(k).
3*(k - 26)*(k + 24)/7
Suppose 2*q = 1029*r - 1028*r - 3, -3*r = 2*q - 25. Factor -64/7 - 8*f**q + 124/7*f - 4/7*f**3.
-4*(f - 1)**2*(f + 16)/7
Suppose -49*d = -30*d + 20558. Let z = d - -1084. Factor -7/6*r**4 + 0*r + 5/6*r**3 + 0 + 1/3*r**z.
-r**2*(r - 1)*(7*r + 2)/6
Let z = 13235/18188 + 203/9094. Factor -1/4*a**4 - 3/4*a**2 - 1/4*a + 0 - z*a**3.
-a*(a + 1)**3/4
Suppose 22 = -195*l + 206*l. Let a(f) be the second derivative of 7/60*f**6 + 0*f**l - 2/5*f**5 + 1/2*f**3 - 17/24*f**4 + 0 + 13*f. What is k in a(k) = 0?
-1, 0, 2/7, 3
Let v(d) be the third derivative of -d**4/6 + 19*d**3/3 + 8*d**2. Let a be v(9). Factor -35*g**2 - 35*g**2 + 74*g**a.
4*g**2
Let y(x) = x**2 - 202*x + 2634. Let k be y(188). Factor 16/7*w**k + 0 - 4/7*w**5 - 16/7*w + 12/7*w**3 - 8/7*w**4.
-4*w*(w - 1)**2*(w + 2)**2/7
Let x(p) = 4*p**2 - 5*p + 3. Let k be x(3). Suppose 16*r - k*r + 16 = 0. Factor -12*s + 2*s**4 + 8*s - 4*s**r - 4*s**2 - 3*s**3 + s**5.
s*(s - 2)*(s + 1)**2*(s + 2)
Suppose -54*h + 57*h**2 - 3/2*h**4 - 111/2 + 54*h**3 = 0. What is h?
-1, 1, 37
Let p(i) be the third derivative of i**6/600 + 19*i**5/200 - i**4/2 + 40*i**3/3 + 5*i**2 + 2. Let y(s) be the first derivative of p(s). Factor y(z).
3*(z - 1)*(z + 20)/5
Factor -14/9*l**2 - 20/9*l**3 + 0 + 392/9*l + 2/9*l**4.
2*l*(l - 7)**2*(l + 4)/9
Suppose t - 22 = 5*l, -l - 4*l - 16 = 2*t. Factor -1 - 16 - 5*s**2 - 1 - 18 - 39*s + 2*s**t.
-3*(s + 1)*(s + 12)
Let r(i) be the third derivative of -i**6/540 - 71*i**5/90 + i**4/108 + 71*i**3/9 - 2*i**2 + 2*i - 141. Suppose r(g) = 0. What is g?
-213, -1, 1
Let x(z) = -z**2 - 177*z - 3000. Let m be x(-158). Find l, given that -40/7*l**2 + 18*l + 4/7*l**4 + 36/7 + m*l**5 - 20*l**3 = 0.
-3, -1, -2/7, 1, 3
Suppose 13*c = 6*c - 1323. Let o be 2/((-1)/2 + c/(-54)). Determine i so that o + 0*i**4 + 4/3*i**3 - 2/3*i**2 - 1/3*i**5 - i = 0.
-2, -1, 1
Let x = 6 - 2. Suppose -2 = v - x. Let -2*h**4 - 2 + 30*h**2 + h**5 - 2*h**5 - 26*h**2 + 0*h**4 - h + v*h**3 = 0. Calculate h.
-2, -1, 1
Factor -1452*o + 3/2*o**2 + 351384.
3*(o - 484)**2/2
Factor -8/5*d + 2/5*d**3 - 376/5 + 94/5*d**2.
2*(d - 2)*(d + 2)*(d + 47)/5
Let z = 1623169/338160 + -1/338160. Find x, given that -z*x**3 - 24 - 126/5*x**2 - 216/5*x = 0.
-2, -5/4
Let r(l) be the first derivative of -l**3/12 + 11*l**2 + 665*l/4 - 2491. Determine u, given that r(u) = 0.
-7, 95
Let k = 170 + -167. Let 3*d**k - 13*d**4 - 15*d**3 + 3*d**2 + 10*d**4 + 12*d = 0. What is d?
-4, -1, 0, 1
Suppose 3*j - 2*q - 114 = q, -3*j - q + 126 = 0. Suppose 0 = 47*c - j*c - 30. Factor 24*b + 14*b**3 - c*b**3 + 6*b**3 + 6*b - 55*b**2.
5*b*(b - 3)*(3*b - 2)
Let -2/3*u**2 - 2788/3*u - 971618/3 = 0. What is u?
-697
Let -3/7*t**3 + t - 1/7*t**4 + 3/7*t**2 - 6/7 = 0. What is t?
-3, -2, 1
Suppose 4*q - 4*u + 405 = 5*q, 2*q + 2*u = 810. Solve -630*i**4 - q*i**5 - 3224 + 3144 - 2920*i**2 + 3175*i**3 + 431*i + 429*i = 0 for i.
-4, 2/9, 1
Let h = -28462 - -28467. Let x(s) be the second derivative of -11/3*s**4 - 1/5*s**h + 48*s + 0 - 16*s**3 + 72*s**2. What is p in x(p) = 0?
-6, 1
Let s = -472/249 - -4300/1743. Find o, given that -2/7*o**5 + s*o**3 - 4/7*o**2 + 2/7 - 2/7*o + 2/7*o**4 = 0.
-1, 1
Let o be 1/2*((-3)/9)/((-190)/57). Let m(b) be the third derivative of 0 - 12*b**2 - o*b**5 + 2*b**3 + 3/8*b**4 + 0*b. Determine n so that m(n) = 0.
-1, 4
Let j(z) be the second derivative of -1/10*z**6 + 33*z**2 - 129*z - 21/4*z**4 + 13/2*z**3 + 0 - 39/20*z**5. Find d such that j(d) = 0.
-11, -2, -1, 1
Let d be (-5)/(1*1/(-3)) + -3492 + 3479. Let -19/2*t**d - 1/2*t**4 + 15*t + 0 - 5*t**3 = 0. Calculate t.
-6, -5, 0, 1
Suppose -185*h + 2800 - 2734 + 1044 = 0. Suppose h*p - 2/5*p**3 + 28/5*p**2 + 0 = 0. Calculate p.
-1, 0, 15
Let r be ((-110)/550)/((-1)/2). Find w, given that r*w**2 + 44/5*w + 0 = 0.
-22, 0
Let m(z) = -25*z - 15. Let c be m(-1). Let l(a) be the second derivative of 3/4*a**4 - c*a - 1/3*a**3 + 0 + 0*a**2. Factor l(n).
n*(9*n - 2)
Let q = 118 + -116. Let 4*f**4 - 24*f**q - 12*f**3 + 28*f - 31*f + 35*f = 0. What is f?
-2, 0, 1, 4
Let m be 4/(-22 - -5 - -71). Let r(w) be the first derivative of 1/3*w**2 + m*w**3 - 8/9*w + 32. Solve r(k) = 0.
-4, 1
Let s(b) be the first derivative of -16/3*b**4 + 220 - 1568/3*b - 208/3*b**3 - 2/15*b**5 - 896/3*b**2. Solve s(v) = 0 for v.
-14, -2
Let b(p) = -17*p**5 + p**4 + 25*p**3 - 89*p**2 - 89*p + 14. Let o(r) = 2*r**5 + 2*r**4 - r**3 - r**2 - r - 2. Let y(w) = -b(w) - 7*o(w). Factor y(d).
3*d*(d - 4)**2*(d + 1)*(d + 2)
Let k(t) = 2*t**3 + 43*t**2 - 106*t. Let g(y) = 128*y**2 + 2*y**3 - 23*y - 34*y - 43*y**2 - 28*y - 125*y. Let o(j) = 3*g(j) - 5*k(j). Factor o(u).
-4*u*(u - 5)**2
Suppose -64 + 114 + 43 = 31*v. Let h(m) be the second derivative of -24*m + 5/3*m**4 + 0 + 15/2*m**v + 5*m**2. Factor h(p).
5*(p + 2)*(4*p + 1)
Let a(b) be the first derivative of b**6/24 + b**5/3 + 5*b**4/6 - 51*b**2/2 - 54. Let p(n) be the second derivative of a(n). Factor p(o).
5*o*(o + 2)**2
Let j(d) = 60*d**3 + 1127*d**2 + 1709*d - 984. Let h(c) = 21*c**3 + 375*c**2 + 570*c - 328. Let m(f) = -22*h(f) + 8*j(f). Factor m(q).
2*(q + 2)*(q + 41)*(9*q - 4)
Let r(h) be the second derivative of 73*h + 0*h**3 + 0 + 1/4*h**2 - 1/24*h**4. Factor r(b).
-(b - 1)*(b + 1)/2
Let u(d) = 2*d**3 + 18*d**2 + 10*d - 18. Let k(i) = i**2 - i - 1. Let y be (72/(-15))/(20/50). Let z(h) = y*k(h) - u(h). Let z(p) = 0. What is p?
-15, -1, 1
Let w = 11 + -9. Let a be (-3 - -7)*3/w. Factor a*l**2 - 3*l**2 + 10*l + 2*l**2.
5*l*(l + 2)
Let k(m) = -3*m**2 + 4168*m - 869451. Let r(p) = -p**2 + p + 3. Let y(n) = -k(n) - 2*r(n). Find c such that y(c) = 0.
417
Let n(k) = -4 + 3 - 5 + 2*k - 2. Let l be n(6). Solve 476*z**3 + 4*z**5 + l*z**4 - 476*z**3 = 0 for z.
-1, 0
Let a be (45 + 23154/(-510))/(24/(-45)). Factor 3/4*x**4 - 3/4*x - 3/4*x**2 + a*x**3 + 0.
3*x*(x - 1)*(x + 1)**2/4
Let -169/5*q - 174 + 1/5*q**2 = 0. What is q?
-5, 174
Factor 11/4*r - 9/2 - 1/4*r**3 + 2*r**2.
-(r - 9)*(r - 1)*(r + 2)/4
Let r(j) = -j**2 - 28*j - 143. Let l be r(-21). Solve 6*d - 105*d - 33 - 19*d**l + 33 - 62*d**2 + 81 + d**5 + 98*d**3 = 0 for d.
-1, 1, 9
Let w(c) be the first derivative of -2*c**3/15 + 737*c**2/5 + 1476*c/5 + 369. Factor w(a).
-2*(a - 738)*(a + 1)/5
Let q = 643 - 642. Let k(r) = r**3 + r**2 + r - 2. Let v(n) = 20*n**3 + 44*n**2 + 22*n + 7. Let t(x) = q*v(x) + 3*k(x). Let t(a) = 0. What is a?
-1, -1/23
Determine h, given that -850*h + 288*h**3 - 78*h**2 - 2*h**4 + 278*h - 111*h**2 - 93*h**2 = 0.
-1, 0, 2, 143
Let u(y) be the first derivative of -1/80*y**5 + 5 - 3/32*y**4 + 0*y**3 + 0*y + 1/2*y**2. Let j(a) be the second derivative of u(a). Solve j(c) = 0.
-3, 0
Let u(f) be the third derivative of f**8/1428 + f**7/595 - 4*f**6/255 + f**5/34 - f**4/51 + 4696*f**2. Find t, given that u(t) = 0.
-4, 0, 1/2, 1
Let p(x) = -96*x**3 - 67004*x**2 + 83880*x - 16780. Let k(o) = -19*o**3 - 13401*o**2 + 16776*o - 3356. Let g(h) = 16*k(h) - 3*p(h). Factor g(s).
-4*(s - 1)*(s + 839)*(4*s - 1)
Let h(n) = 7*n**4 - 78*n**3 - n**2 + 81*n + 24. Let i(b) = -4*b**4 + 78*b**3 - 80*b - 16. Let q(g) = -4*h(g) - 6*i(g). Factor q(k).
-4*k*(k - 1)*(k + 1)*(k + 39)
Let y(q) be the third derivative of 13/1080*q**6 - 13/6*q**3 + 21*q**2 + 0 + 0*q + 7/90*q**5 + 1/18*q**4. Let o(n) be the first derivative of y(n). Factor o(m).
(m + 2)*(13*m + 2)/3
Let l be (32/116)/((-224)/(-3248)). Let u(s) be the third derivative of -3/20*s**5 - 5/2*s**3 + 0 + 0*s + 1/40*s**6 - 36*s**2 - 9/8*s**l. What is n in u(n) = 0?
-1, 5
Let s(h) be the second derivative of 3*h**5/80 + 45*h**4/8 + 483*h**3/2 - 1587*h**2 + 696*h. Find d such that s(d) = 0.
-46, 2
Let a(p) be the second derivative of p**4/3 - 73*p**3/6 - 77*p**2/2 + 2*p - 65. Let a(x) = 0. What is x?
-1, 77/4
Let d(l) be the second derivative of l**5/120 - 37*l**4/72 - 9*l**3/4 + 39*l**2/4 - 2*l - 1029. Factor d(g).
(g - 39)*(g - 1)*(g + 3)/6
Let a(i) = 2*i**2 - 6*i + 4. Suppose -7*b + 28 = 70. Let q(g) = -3*g**2 + 10*g - 8. Let h(y) = b*q(y) - 14*a(y). Factor h(l).
-2*(l - 2)*(5*l - 2)
Let m(i) = -10*i**3 - 110