et 3/7*a + 0*a**4 + 0*a**2 + 3/7*a**5 - 6/7*a**3 + j = 0. What is a?
-1, 0, 1
Let t(q) be the first derivative of -10*q + 1/3*q**3 + 3/2*q**2 + 163. Suppose t(j) = 0. Calculate j.
-5, 2
Let z(u) = 11*u**2 - 198*u - 356. Let f(i) = -6*i**2 + 100*i + 176. Let a(b) = 7*f(b) + 4*z(b). Find j such that a(j) = 0.
-2, 48
Find k, given that 238*k - 1219*k + 643 - 3*k**2 + 1331 = 0.
-329, 2
Determine n, given that 26*n**2 - 9*n**2 - 22*n**2 - 7296*n + 6826*n + 3535 = 0.
-101, 7
Suppose 331 = 9*r - 20. Suppose 17*x = 4*x + r. Solve 0*j - 3/5*j**4 + x*j**3 - 18/5*j**2 + 0 = 0.
0, 2, 3
Suppose -11*w + 1658 = -234. Factor -s**2 - 11*s**2 + 14 + 2*s**2 - w*s + 30 - 6*s**2.
-4*(s + 11)*(4*s - 1)
Let o(q) be the third derivative of -11/480*q**6 + 0*q + 19/240*q**5 + 0 + 1/840*q**7 - 3/32*q**4 + 0*q**3 + 120*q**2. Suppose o(a) = 0. Calculate a.
0, 1, 9
Let n = -248 - -223. Let y be n/(8700/(-24)) - 597/(-174). Let 5/2*g**2 + 3/2 - 1/2*g**3 - y*g = 0. Calculate g.
1, 3
Suppose 0 = -3*y - 5 + 5 + 6. Let r(v) be the second derivative of -13*v + 0*v**y - 1/160*v**5 - 1/32*v**4 + 0*v**3 + 0. Factor r(x).
-x**2*(x + 3)/8
Let v = 260098 + -2340878/9. Find a such that -2/9*a**5 - v*a + 2/3*a**3 + 2/9*a**4 + 0 - 2/9*a**2 = 0.
-1, 0, 1, 2
Let l(w) be the second derivative of 2 + 4*w + 0*w**4 + 1/5*w**5 - 1/5*w**6 + 0*w**3 + 0*w**2 + 1/21*w**7. Suppose l(h) = 0. Calculate h.
0, 1, 2
Suppose 6 = -4*f + 6*l, -5*l + 80 - 65 = 0. Suppose -2*t + 32 = -28. Factor -36*c**2 + 51*c**f - 12*c - 9*c**4 - 33*c**3 - t*c**3 - 21*c**3.
-3*c*(c + 1)*(c + 2)*(3*c + 2)
Let a be (-1)/(-14 - 328/(-24)). Let u(p) be the first derivative of -3/32*p**4 + 8 - 3/40*p**5 + 3/8*p**a - 3/4*p + 3/16*p**2. Suppose u(c) = 0. Calculate c.
-2, -1, 1
Let c(g) = -3*g**3 + g**2 + 2*g + 2. Suppose -4*n - 3 - 1 = 0. Let w be c(n). What is t in w*t**3 - 3 - t**2 + 2*t**3 + 7 - 4*t - 5*t**3 = 0?
-2, 1, 2
Let -4/5*i**2 - 872/5*i - 868/5 = 0. Calculate i.
-217, -1
Let d be 4240/520 + ((-2)/(-1))/(-6) + (-3059)/399. Factor -d*r - 2/13*r**2 + 84/13.
-2*(r - 6)*(r + 7)/13
Let g(i) be the third derivative of -i**5/40 - 111*i**4/16 - 2505*i**2. Factor g(m).
-3*m*(m + 111)/2
Suppose -15 = -5*j + 5*k, -16*j + 11*j + 55 = 3*k. Solve -j*o**3 + 17*o**4 - 19*o**4 - 11 + 11 = 0 for o.
-4, 0
Let a be 12356/(-3089) - (34/8)/(9/(-30)). Determine c, given that 23/6*c**3 - 25/2*c**2 + 5/6*c**4 + a*c - 7/3 = 0.
-7, 2/5, 1
Let c = -160340 - -1763756/11. Factor 0 + c*f**2 + 8/11*f - 10/11*f**3.
-2*f*(f - 2)*(5*f + 2)/11
Factor 6*c**4 + 9*c**4 + c**5 - 60*c**3 + 20*c**4 - 15*c**4 + 8*c**4.
c**3*(c - 2)*(c + 30)
Let 250*n**3 - 752*n**3 - 139*n**2 + 30 - 2 + 268*n**3 + 258*n**3 - 207*n = 0. Calculate n.
-4/3, 1/8, 7
Let b(l) be the second derivative of 0*l**2 + 0 + 3/110*l**5 + 1/33*l**3 - 73*l - 1/22*l**4 - 1/165*l**6. Factor b(t).
-2*t*(t - 1)**3/11
Suppose 13*l - 13742 = -13703. Let m(v) be the first derivative of -5/2*v**4 + 40*v + 20*v**2 + 18 + 0*v**l - 1/2*v**5. Factor m(f).
-5*(f - 2)*(f + 2)**3/2
Let x(z) be the second derivative of -z**5/240 + z**4/4 + 25*z**3/24 - 41*z**2 - 2*z + 57. Let j(p) be the first derivative of x(p). Factor j(r).
-(r - 25)*(r + 1)/4
Let a(j) be the first derivative of j**5/2 - 45*j**4/8 + 35*j**3/3 + 30*j**2 - 1015. Determine k, given that a(k) = 0.
-1, 0, 4, 6
Let w(d) = -d**3 + 10*d**2 + 94*d - 878. Let z be w(8). Factor 4/11*b**z + 2*b + 28/11.
2*(b + 2)*(2*b + 7)/11
Let g(t) be the first derivative of 5*t**3/3 + 125*t**2 - 520*t + 358. What is z in g(z) = 0?
-52, 2
Let v(r) = 13*r**3 - 544*r**2 + 1097*r + 4219. Let h(g) = -32*g**3 + 1360*g**2 - 2732*g - 10548. Let f(i) = -5*h(i) - 12*v(i). Factor f(a).
4*(a - 66)*(a - 4)*(a + 2)
Suppose -3*b + 1 + 2 = 0. Let r be 3 + b/(-1)*(-4 - -4). Factor -r*h**2 + 2*h**3 + h**2 + 0*h**2.
2*h**2*(h - 1)
Suppose f + 4*g = -10, -g - 3 = -4*f + 8. Factor 16 - 10*t**2 - 4*t + 6*t**2 + 2*t**f.
-2*(t - 2)*(t + 4)
Let j = 423752118/205 + -2067076. Let y = j + -37/41. Factor -12/5 - 48/5*i + y*i**2 + 27/5*i**3.
3*(i - 1)*(i + 2)*(9*i + 2)/5
Let c be (1580/(-237))/(11/(-3) + 3). Let k(w) be the third derivative of 0*w + 3/8*w**4 - w**3 + 0 + 1/70*w**7 - c*w**2 + 1/20*w**5 - 3/40*w**6. Factor k(i).
3*(i - 2)*(i - 1)**2*(i + 1)
Let n(b) be the third derivative of 1/12*b**4 + 19/360*b**5 + 0*b + 0 - 17/6*b**3 - 3*b**2 + 1/360*b**6. Let j(q) be the first derivative of n(q). Factor j(l).
(l + 6)*(3*l + 1)/3
Let g(j) be the third derivative of 0*j**3 + 1/540*j**6 - 47*j**2 + 0 + 1/270*j**5 - 1/945*j**7 + 0*j**4 - 1/1512*j**8 + 0*j. Find w, given that g(w) = 0.
-1, 0, 1
Suppose -202*r = -232*r. Let f(q) be the third derivative of 0*q**3 + 0*q**4 - 8*q**2 + 0*q + r*q**6 + 1/100*q**5 + 0 - 1/350*q**7. Factor f(k).
-3*k**2*(k - 1)*(k + 1)/5
Find s, given that 48/5*s**2 + 32/5*s - 12/5*s**4 - 4/5*s**5 + 0 + 8/5*s**3 = 0.
-2, -1, 0, 2
Let u(w) be the second derivative of -w**4/18 - 1910*w**3/9 - 912025*w**2/3 + 3671*w. Factor u(i).
-2*(i + 955)**2/3
Let c be 4/(-12) + -6 + (-200)/(-6). Find b, given that 5*b**3 - 2*b - 6*b - c*b + 15*b**2 - 15*b = 0.
-5, 0, 2
Let j be (-14)/(672/(-760)) + -15. Let r = -191/6 + 32. Suppose 2/3*h + 1/3*h**3 + r + j*h**2 = 0. What is h?
-1, -1/2
Let x(q) be the second derivative of -5/12*q**4 + 65*q**2 + 0 - 161*q - 55/6*q**3. Factor x(b).
-5*(b - 2)*(b + 13)
Let -23/3*k**3 + 132*k + 5*k**4 - 72 + 2/3*k**5 - 58*k**2 = 0. What is k?
-6, 1, 3/2, 2
Let w = -5888972/13 - -452998. Factor 44/13*g - w*g**2 - 42/13.
-2*(g - 21)*(g - 1)/13
Let d(w) = -129*w + 2714. Let m be d(21). Let l(b) be the second derivative of -7/2*b**4 + 0 - 12*b**2 + 9/20*b**m - 12*b + 10*b**3. Factor l(n).
3*(n - 2)**2*(3*n - 2)
Find o, given that 434/23*o + 228/23*o**2 + 2/23*o**5 + 102/23*o**4 - 436/23*o**3 - 330/23 = 0.
-55, -1, 1, 3
Let m = 2553 + -2553. Let h(n) be the third derivative of 0*n**5 + 0*n**4 + 0*n**3 + m - 9*n**2 + 1/315*n**7 + 0*n - 1/630*n**6. Factor h(u).
2*u**3*(7*u - 2)/21
Suppose 4*f - 120*i + 119*i = 20, 3*f + 4*i - 15 = 0. Factor 4/7*v**f + 0 - 4/7*v + 0*v**3 + 8/7*v**4 - 8/7*v**2.
4*v*(v - 1)*(v + 1)**3/7
Let d be (-390)/30 - ((-34)/4 - (52 - 45)). Let 11/2*r**3 + 3 - 5/6*r**4 + d*r - 61/6*r**2 = 0. Calculate r.
-2/5, 1, 3
Let f(k) be the third derivative of -10*k + 2197/18*k**3 - 2*k**2 + 169/24*k**4 + 0 + 13/60*k**5 + 1/360*k**6. Factor f(h).
(h + 13)**3/3
Let g(z) = z**3 + z**2 - 5. Let k(c) = -5*c**3 - 5*c**2 + 21. Let r(i) = -9*g(i) - 2*k(i). Let x be r(0). Let 44*f - 20*f - 20*f - f**2 - x = 0. What is f?
1, 3
Let n(d) = 128*d + 140. Let s be n(-15). Let i = s + 1782. Determine g so that 2/7*g + 0*g**4 - 8/21*g**3 - 4/21 + 2/21*g**5 + 4/21*g**i = 0.
-2, -1, 1
Let v = 1403216/9 + -155912. Factor -8/9*o + 0 - v*o**2 + 2/9*o**4 + 2/9*o**3.
2*o*(o - 2)*(o + 1)*(o + 2)/9
Suppose 8*w - 16 = 4*w, -5*l = -6*w - 8116. Let s = -1625 + l. What is r in 2*r - 2*r**2 + 1/2*r**s + 0 = 0?
0, 2
Let m be 5 + (-2 - -2) - 0. Factor b**m - b + 3*b**5 + 5*b - 13*b**3 + 5*b**3.
4*b*(b - 1)**2*(b + 1)**2
Let t(b) = b**2 + 7*b - 9. Let r be t(2). What is y in r - 152*y + 170*y + y**2 + 8 = 0?
-17, -1
Suppose -b = -332 + 234. Let i be (-24)/(-54) - b/(-63). Factor 4/5*n**i - 2*n**3 - 4/5 + 2*n.
-2*(n - 1)*(n + 1)*(5*n - 2)/5
Let y(x) be the second derivative of 20*x**2 - 8/3*x**3 - 1/6*x**4 + 271*x + 0. What is t in y(t) = 0?
-10, 2
Let h(x) = -x**3 + 3*x**2 + 9*x - 17. Let k be h(4). Determine j, given that -3*j**3 + 18*j**3 - 4*j**5 - 11*j**k = 0.
-1, 0, 1
Let l(b) = 8*b**5 - 42*b**4 - 194*b**3 - 336*b**2 - 186*b. Let p(t) = -2*t**5 - t**4 - t**3 + t. Let o(f) = -l(f) - 6*p(f). Suppose o(g) = 0. Calculate g.
-5, -3, -1, 0
Factor 3/4*u**3 + 4761*u + 73002 + 207/2*u**2.
3*(u + 46)**3/4
Let w(u) = u**2 + u. Let a(b) = 22*b**2 - 4*b - 26. Let o(p) = -a(p) + 5*w(p). Find h, given that o(h) = 0.
-1, 26/17
Let u(q) be the first derivative of q**6/135 - q**4/27 + q**2/9 + 7*q + 44. Let b(g) be the first derivative of u(g). Factor b(p).
2*(p - 1)**2*(p + 1)**2/9
Let -2/5*q**4 - 8820*q - 424/5*q**3 - 4578*q**2 + 0 = 0. What is q?
-105, -2, 0
Let t(k) be the second derivative of k**5/45 - 4*k**4/9 + 14*k**3/9 - 17*k**2 + 60*k. Let a(f) be the first derivative of t(f). Factor a(j).
4*(j - 7)*(j - 1)/3
Let x be 10/6 + (-14)/21. Let f be (9 + 3 + -8)*x/2. Determine m, given that 18