 Suppose n*j**2 + 0 + 2/5*j = 0. What is j?
-1, 0
Find q, given that -12/5*q**3 + 876/5*q**2 + 177*q + 222/5 = 0.
-1/2, 74
Let l = -8/149 - -761/298. Let f(x) be the second derivative of -3/25*x**5 + 12*x + l*x**2 + 1/150*x**6 + 0 - 2*x**3 + 23/30*x**4. Find w, given that f(w) = 0.
1, 5
Let a(j) be the second derivative of j**4/36 + 262*j**3/9 + 34322*j**2/3 + 104*j - 19. Find w, given that a(w) = 0.
-262
Let v(s) be the second derivative of -s**5/160 + s**3/12 - 6250*s. Factor v(h).
-h*(h - 2)*(h + 2)/8
Find r, given that 0 - 34/3*r**4 + 1/3*r**5 + 1444/3*r + 1292/3*r**2 + 71*r**3 = 0.
-2, 0, 19
Let v = 8007 + -72059/9. Let r(i) be the first derivative of -1/9*i**6 + 0*i**2 + 0*i - 5/6*i**4 + 8/15*i**5 + 3 + v*i**3. Factor r(k).
-2*k**2*(k - 2)*(k - 1)**2/3
Suppose 37*o = 29*o - 120. Let t be (27/2)/(o + (11 - -10)). Find a, given that -21/4*a - 3/4*a**3 - t - 15/4*a**2 = 0.
-3, -1
Let z(x) be the second derivative of x**5/80 - 113*x**4/4 + 25538*x**3 - 11543176*x**2 - x + 347. Determine w so that z(w) = 0.
452
Let u(q) = 1265*q + 13920. Let p be u(-11). Factor 0*x**4 + 1/3*x**p - 2*x**3 + 0 - x + 8/3*x**2.
x*(x - 1)**3*(x + 3)/3
Let m(l) = -l**4 - 4*l**2 - l - 1. Let n(f) = 2*f**4 - 41*f**3 + 161*f**2 - 76*f - 501. Let i(o) = m(o) - n(o). Factor i(b).
-(b - 5)**3*(3*b + 4)
Suppose 123*w - 144 = 225. Let o(v) be the first derivative of 4/3*v**w + 14*v**2 - 32*v - 44. Factor o(m).
4*(m - 1)*(m + 8)
Factor -5021496*v - 1741*v**2 + 5024526*v - 4324*v**2 + 10*v**3.
5*v*(v - 606)*(2*v - 1)
Let 121*x - 1232*x + 32*x**4 - 37*x**4 - 960*x**2 - 329*x - 130*x**3 = 0. Calculate x.
-12, -2, 0
Let x(v) be the first derivative of -5*v**3/3 - 11415*v**2 - 26060445*v - 2166. Find s, given that x(s) = 0.
-2283
Factor 9*j**2 + 102*j**2 + 6100*j + 269*j**2 + 5*j**3 + 47243 - 19243.
5*(j + 10)**2*(j + 56)
Let t(m) = -5*m**2 - 138*m - 79. Let l be t(-27). Let j(x) be the first derivative of -40*x - 5/4*x**4 - 10*x**3 - 30*x**l - 11. Factor j(w).
-5*(w + 2)**3
Let m(o) be the second derivative of o**5/240 - 3*o**3/8 + 137*o**2/2 - 6*o. Let x(k) be the first derivative of m(k). Determine v so that x(v) = 0.
-3, 3
Let c(p) be the second derivative of 0 - 40/3*p**4 - 1/15*p**6 - 6*p**3 + 9*p + 9/5*p**5 + 81*p**2. Factor c(j).
-2*(j - 9)**2*(j - 1)*(j + 1)
Let u(k) = -17*k + 45. Let t be u(15). Let c be 20/7 - (-180)/t. Suppose -1/2*n**3 + 0 + 3/2*n - n**c = 0. What is n?
-3, 0, 1
Let s(t) = -t**2 + 0*t - 8*t - 7 + 12 - 5. Let o(q) = q**2 - q. Let z(x) = -6*o(x) - 3*s(x). Factor z(g).
-3*g*(g - 10)
Let k(s) = -501*s + 90192. Let i be k(180). Suppose 3/2*b**2 + 45/2 + i*b = 0. Calculate b.
-5, -3
Factor 590/7*l + 4/7*l**2 - 296/7.
2*(l + 148)*(2*l - 1)/7
Factor 6*i**2 + 19/4*i**3 + 0*i - 5/4*i**4 + 0.
-i**2*(i + 1)*(5*i - 24)/4
Let t(x) be the first derivative of -x**5/30 - x**4/6 + 37*x**3/18 - 17*x**2/3 + 6*x + 540. Factor t(r).
-(r - 2)**2*(r - 1)*(r + 9)/6
Let s(m) = 2*m**3 - 3*m + 25. Let o be s(-5). Let i be ((-20)/o)/(5/60). Find k, given that -i*k**3 + 0*k + 20/7*k**4 + 0*k**2 + 0 + 4*k**5 = 0.
-1, 0, 2/7
Let l(z) be the second derivative of -z**7/14 - 5*z**6/6 - 27*z**5/20 + 35*z**4/4 - 25*z**3/3 + 7901*z. Solve l(r) = 0 for r.
-5, 0, 2/3, 1
Solve 292*t**2 - 1/4*t**5 + 94*t**3 + 396*t + 21/2*t**4 + 200 = 0.
-2, 50
Let g(k) be the third derivative of -k**8/2016 - k**7/315 - k**6/720 + 7*k**5/180 + 5*k**4/36 + 2*k**3/9 - 427*k**2. Determine j, given that g(j) = 0.
-2, -1, 2
Let q be ((-4)/(-5))/(49912/(-1020) - -50). Factor -15/2*r**2 + 0 + q*r**4 - 9/4*r**3 + 0*r.
3*r**2*(r - 5)*(r + 2)/4
Let v(g) be the first derivative of 5/8*g**3 + 9/32*g**4 - 48 - 1/16*g**6 + 3/8*g**2 - 3/40*g**5 + 0*g. Factor v(f).
-3*f*(f - 2)*(f + 1)**3/8
Let f(w) = w**2 + 8*w + 30. Let h be f(-5). Suppose 0*q**2 + 10 + 8*q**4 + h*q**2 - 13*q**4 + 6*q - 5*q**3 + 19*q = 0. Calculate q.
-1, 2
Let j(s) = s**2 + 1. Let f = -90 + 93. Suppose 2*b + 0*l - 4*l = -14, -5*b + 2*l - f = 0. Let p(a) = 4*a**2 - 2*a - 2. Let m(d) = b*p(d) - 2*j(d). Factor m(k).
2*(k - 2)*(k + 1)
Suppose 23/3*i - 22/3*i**3 - 2/3*i**2 - 11/3 - 1/3*i**5 + 13/3*i**4 = 0. Calculate i.
-1, 1, 11
Let s(f) = 3*f**3 - 8*f**2 - 21*f + 22. Let q be s(4). Find b such that 0 - 2/5*b**q + 8/5*b = 0.
0, 4
Let o = 1799/12 - 1781/12. Factor 9/2*v - o*v**2 + 15.
-3*(v - 5)*(v + 2)/2
Let t(k) be the second derivative of k**5/20 - k**4/2 - k**3 - 39*k**2 + k - 239. Let b be t(8). Factor 0 + 0*q**b - 3/5*q**3 + 0*q.
-3*q**3/5
Let u = 6944 + -6939. Let o(m) be the third derivative of 1/50*m**u + 0 + 0*m + 0*m**4 + 7*m**2 + 0*m**3 - 1/40*m**6 + 1/175*m**7. What is n in o(n) = 0?
0, 1/2, 2
Let q be (-1)/(40/(-24)*(4 - 1)). Let d(r) be the second derivative of 0*r**4 + q*r**3 + 0 - 2/5*r**2 - 1/50*r**5 + 13*r. Factor d(o).
-2*(o - 1)**2*(o + 2)/5
Solve 2/3*s**2 + 1252/3 + 210*s = 0 for s.
-313, -2
Let -44*h**2 - 118 + 38*h**2 + 208*h - 35 - 54*h**2 - 4*h**3 + 9 = 0. What is h?
-18, 1, 2
Let d(n) = -2*n**5 - n**3 - n - 1. Let t(v) = -4*v**5 - 104*v**4 + 140*v**3 + 276*v**2 + 144*v + 30. Let b(m) = 20*d(m) + 2*t(m). Solve b(f) = 0 for f.
-5, -1/2, -1/3, 2
Let i(h) be the third derivative of -4*h**6/45 + 11*h**5/9 - 28*h**4/9 - 32*h**3 - 108*h**2. Factor i(n).
-4*(n - 4)**2*(8*n + 9)/3
Let t(b) = 2*b**2 - 3*b - 1. Let r(x) = 14*x**2 - 10*x - 8. Let y(m) = -r(m) + 4*t(m). Factor y(d).
-2*(d + 1)*(3*d - 2)
Let j(f) be the first derivative of 89 - 15/2*f**4 - 54*f - 189/2*f**2 - 49*f**3. Let j(h) = 0. What is h?
-3, -3/2, -2/5
Suppose 306 + 7*v**3 + 0*v**3 - 80*v + 314 - 644*v - 3*v**3 + 100*v**2 = 0. Calculate v.
-31, 1, 5
Let o(u) = 5*u**2 - 39*u - 109. Let a be o(-3). Factor -19 + 3 - 6*w**3 - 19*w**2 - 36*w + a*w**2.
-2*(w - 4)*(w - 2)*(3*w + 1)
Let d(o) be the third derivative of o**7/30 + 1303*o**6/60 + 5394*o**5 + 1679828*o**4/3 + 1906624*o**3/3 - 119*o**2 - 2. Let d(h) = 0. What is h?
-124, -2/7
Let u(f) be the first derivative of -f**3/12 - 1275*f**2/4 - 1625625*f/4 + 5959. Find h such that u(h) = 0.
-1275
Let c(g) = 236*g**2 + 6 - 238*g**2 - 6*g - 3. Let u(r) = -8*r**2 - 24*r + 13. Let y(d) = 26*c(d) - 6*u(d). Determine z so that y(z) = 0.
-3, 0
Let b(h) be the third derivative of h**6/3060 - h**5/510 - 27*h**3/2 + 81*h**2. Let z(o) be the first derivative of b(o). Suppose z(y) = 0. What is y?
0, 2
Let v(l) be the first derivative of 5*l**4/4 - 100*l**3/3 + 265*l**2/2 - 170*l - 841. Factor v(w).
5*(w - 17)*(w - 2)*(w - 1)
Let b be 2/(12/(-10))*12/(-10). Solve 822*q**b - 360 - 10*q - 50*q - 5*q**3 - 772*q**2 = 0.
-2, 6
Let u = 30257 - 30257. Determine m so that 2*m - 1/5*m**2 + u = 0.
0, 10
Let f(b) = -7*b**2 - 2342*b - 456296. Let p(x) = -23*x**2 - 7027*x - 1368886. Let u(g) = 7*f(g) - 2*p(g). Factor u(l).
-3*(l + 390)**2
Let y be 8 - 24/((-6)/(-3)). Let g be y*(-6)/(-108) - (-13)/18. Determine t, given that -t + g*t**2 + 1/2 = 0.
1
Let k = -1985668/7 - -283708. Factor 0 + k*j**2 + 60/7*j**3 + 304/7*j - 4/7*j**4.
-4*j*(j - 19)*(j + 2)**2/7
Let g = -16639/20 + 832. Let r(u) be the third derivative of g*u**4 + 3/10*u**3 + 0 + 0*u - 4*u**2 + 1/300*u**5. Let r(j) = 0. What is j?
-3
Let f = -161 + 657/4. Let r = 99/28 - f. Find v such that -6/7*v + 0 - r*v**2 = 0.
-3, 0
Let p(l) be the third derivative of -l**5/60 + 45*l**4/32 + 17*l**3/12 - 121*l**2 - 10. Factor p(w).
-(w - 34)*(4*w + 1)/4
Let f(g) be the second derivative of 1/60*g**5 + 0 - 7/36*g**4 - 55*g + 0*g**2 + 0*g**3 - 1/126*g**7 + 7/90*g**6. Let f(x) = 0. Calculate x.
-1, 0, 1, 7
Let z(u) be the third derivative of -u**5/150 - 11*u**4/60 + 4*u**3 - u**2 + 1663*u - 1. Factor z(f).
-2*(f - 4)*(f + 15)/5
Suppose 0 = -25*h - 18*h - 795 + 967. Let y(q) be the third derivative of 1/660*q**6 + 1/33*q**h + 0*q + 13*q**2 + 2/165*q**5 + 0 + 0*q**3. Factor y(k).
2*k*(k + 2)**2/11
Let a(y) = -y**3 + y**2 - 3*y + 3. Let g(v) = 20*v**3 - 525*v**2 - 420*v - 75. Let n(x) = 25*a(x) + g(x). Determine u, given that n(u) = 0.
-99, -1, 0
Let u(v) be the second derivative of v**5/15 + 26*v**4/9 - 110*v**3/9 + 56*v**2/3 + 1170*v. Let u(x) = 0. Calculate x.
-28, 1
Let o(v) be the first derivative of -2*v**3/39 - 103*v**2/13 - 404*v/13 - 1915. Suppose o(h) = 0. Calculate h.
-101, -2
Let y be 3 - (-36)/24 - (-168)/(-112). Factor -5/2*i + 1/2*i**2 - y.
(i - 6)*(i + 1)/2
Let t(i) be the second derivative 