et w(a) = 0. What is a?
-12, -1, 0
Let 0 - 17/3*y + 1/3*y**2 = 0. Calculate y.
0, 17
Suppose 6*m = -19*m. Suppose -5*j + 5*r - 4*r + 4 = m, 3*r = -3*j - 12. Factor j + 2/5*y - 3/5*y**2 + 1/5*y**3.
y*(y - 2)*(y - 1)/5
Let o(y) be the second derivative of y**5/80 + 53*y**4/48 - y**3/6 - 53*y**2/2 - 86*y - 9. Factor o(k).
(k - 2)*(k + 2)*(k + 53)/4
Suppose -d + x = 296, -771 = 3*d + 2*x + 132. Let w = d - -302. Factor -3/2*o**3 - 3/2*o - w*o**2 + 0.
-3*o*(o + 1)**2/2
Factor -38/5*x**3 - 532*x + 501/5*x**2 + 980 + 1/5*x**4.
(x - 14)**2*(x - 5)**2/5
Let j(m) be the second derivative of -m - 1/3*m**3 + 1/30*m**4 + 4/5*m**2 + 45. Factor j(h).
2*(h - 4)*(h - 1)/5
Determine s, given that 214*s**3 - 27*s**4 - 1 - 212*s - 2*s**5 + 93*s**4 - 11*s**2 - 58 - 85 + 89*s**2 = 0.
-2, -1, 1, 36
Let u(z) = z**3 + z**2 - z + 2. Suppose h + 32 = -7*h. Let q(l) = -l**3 + l**2 + 4*l - 4. Let d(w) = h*u(w) - 2*q(w). Factor d(p).
-2*p*(p + 1)*(p + 2)
Let k(j) be the second derivative of -j**7/91 + 29*j**6/195 - 57*j**5/130 - j**4/78 + 20*j**3/13 - 28*j**2/13 - 111*j - 6. Let k(p) = 0. What is p?
-1, 2/3, 1, 2, 7
Let i(g) be the first derivative of 2*g**6 - 459*g**5/5 + 2223*g**4/2 - 361*g**3 + 1221. Factor i(n).
3*n**2*(n - 19)**2*(4*n - 1)
Suppose 12*x + 15*x = 648. Suppose -4 = b, -2*g - 29*b + x = -34*b. Suppose 0 + 0*j + 2/3*j**3 - 10/3*j**g = 0. Calculate j.
0, 5
Let u(z) be the first derivative of -102 + 2*z + 46*z - 12*z**2 + z**3 - 61 - 76 + 59. Factor u(c).
3*(c - 4)**2
Let j(z) be the second derivative of -z**4/4 - 91*z**3/2 + 423*z**2 + 3*z - 297. Factor j(g).
-3*(g - 3)*(g + 94)
Factor -812/11*p + 82418/11 + 2/11*p**2.
2*(p - 203)**2/11
Factor -1/5*s**3 - 7692/5*s**2 - 19722288/5*s - 16855982144/5.
-(s + 2564)**3/5
Let n(h) be the first derivative of -h**4/26 + 34*h**3/3 - 471. Find z, given that n(z) = 0.
0, 221
Let f(w) be the first derivative of -w**5 - 855*w**4/4 - 35245*w**3/3 + 111795*w**2/2 - 75690*w - 9018. Factor f(u).
-5*(u - 2)*(u - 1)*(u + 87)**2
Suppose -2700 = -18*u + 23*u. Let l = u + 543. Suppose 0*i**l + 6/5*i**2 + 0 - 2/5*i**4 + 4/5*i = 0. Calculate i.
-1, 0, 2
Let y = 73006 + -73006. Solve 0 + y*n**2 + 0*n**3 + 0*n + 1/11*n**4 - 1/11*n**5 = 0 for n.
0, 1
Suppose 5*x - 242 = -1597. Let y = 795 + x. Factor -509 + 5*c**2 + 25*c - 2*c**3 + y - 3*c**3.
-5*(c - 3)*(c + 1)**2
Let 2674*n + 8831205 + 10616*n - 118*n**2 + 256*n**2 - 133*n**2 = 0. What is n?
-1329
Suppose 3*j + 57 = 3*c, 0*c = -5*c. Let h = j - -21. Factor -2 + 5*z**3 + 3 - 20*z + 20*z**h - 1 - 5*z**4.
-5*z*(z - 2)*(z - 1)*(z + 2)
Let z(x) be the second derivative of 0 - 2/9*x**3 - 1/36*x**4 + 1/60*x**5 + 2/3*x**2 + 135*x. Factor z(u).
(u - 2)*(u - 1)*(u + 2)/3
Suppose 94 = -26*h + 98*h - 38*h - 42. Find b, given that 0 + 0*b - 2/9*b**h - 2/3*b**2 - 8/9*b**3 = 0.
-3, -1, 0
Let l be (705850/900)/((-2)/4). Let h = -1567 - l. What is d in 14/9*d - 4/9*d**2 + 4/9 - h*d**3 = 0?
-1, -2/7, 1
Let c = 424 - 421. Let x(o) be the first derivative of 3/2*o**4 + 0*o - 11 - 3/5*o**5 + 0*o**2 - o**c. Factor x(j).
-3*j**2*(j - 1)**2
Let s(t) be the second derivative of -t + 1/130*t**5 + 2/39*t**4 + 6/13*t**2 + 5 - 11/39*t**3. Suppose s(q) = 0. Calculate q.
-6, 1
Let c(g) = -g**3 + 2*g**2 + 4*g - 2. Let n(j) = -4*j**3 - 162*j**2 - 156*j - 4. Let z(l) = 2*c(l) - n(l). Factor z(p).
2*p*(p + 1)*(p + 82)
Solve -459/8 + 1/8*u**2 - 5/4*u = 0.
-17, 27
Let q(u) = -18*u**2 - 136*u. Let y(g) = -33*g**2 - 270*g. Let t(s) = 9*q(s) - 5*y(s). Factor t(v).
3*v*(v + 42)
Determine k so that 7*k**2 - 22*k + k**2 - 9*k**2 + 3*k**2 - 3 + 51 = 0.
3, 8
Suppose -16*u + 24 = 8*u. Let p be (u/2)/(2/12). Find h, given that 1/5*h**p - 3/5*h**2 + 2/5*h + 0 = 0.
0, 1, 2
Suppose 0 = -406*x - 99*x + 376 + 634. Factor -1/5*b**x + 0 + 2/5*b.
-b*(b - 2)/5
Let w = -1007 - -1009. Factor -132*n + 4*n**w + 573*n + 13924 + 31*n.
4*(n + 59)**2
Let k = 200 + -197. Factor -12*z**3 + 2*z**3 - 14*z + 7*z**k + 12 + 5*z**3.
2*(z - 2)*(z - 1)*(z + 3)
Let h(a) be the second derivative of a**5/120 - a**4/24 - 5*a**3/4 + 175*a**2/12 - 6*a - 84. Factor h(b).
(b - 5)**2*(b + 7)/6
Let v = -1265 + 8943/7. Let d = -85163/7 - -12173. Factor 60/7*k**2 - v*k + 2/7*k**4 - 18/7*k**3 + d.
2*(k - 3)*(k - 2)**3/7
Let m(f) be the second derivative of -f**5/10 - 23*f**4/27 - 11*f**3/9 + 8*f**2 - 5*f + 51. Let m(r) = 0. What is r?
-3, 8/9
Let t(g) be the second derivative of g**5/110 + 5*g**4/11 + 188*g**3/33 + 24*g**2 + 13*g. Solve t(h) = 0.
-22, -6, -2
Let p(l) be the third derivative of -l**7/525 + 4*l**6/75 + 88*l**5/75 + 32*l**4/5 + 12*l**2 + 10. Suppose p(o) = 0. Calculate o.
-4, 0, 24
Let x(d) be the first derivative of -2*d**5/35 - 23*d**4/21 - 2*d**3/21 + 184*d**2/21 + 40*d/7 - 605. Find y such that x(y) = 0.
-15, -2, -1/3, 2
Let m(c) = -2*c - 8. Let g = -47 + 42. Let d be m(g). Factor 2*y**3 + 31*y**2 - 14*y**2 - 21*y**d.
2*y**2*(y - 2)
Let h(q) = 17*q**2 - 74*q + 2. Let p(y) = -12*y - 1. Let x(l) = -h(l) - 2*p(l). Let x(s) = 0. What is s?
0, 98/17
Let r(p) = 6*p**2 - 441*p + 2511. Let y(w) = -11*w**2 + 881*w - 5025. Let o(f) = -5*r(f) - 3*y(f). Determine z, given that o(z) = 0.
6, 140
Suppose 5*b - 15 = 2*d, 160*d - 4*b = 159*d - 12. Find z, given that 0*z**2 + 0 - 3/5*z**4 + 3/5*z**3 + d*z = 0.
0, 1
Let v(m) be the first derivative of m**5/80 - 19*m**4/64 - 5*m**3/8 - m**2 + 49*m - 30. Let i(x) be the second derivative of v(x). Suppose i(k) = 0. What is k?
-1/2, 10
Factor -130*z**4 + 14771*z**3 - 15006*z**3 + 50*z**4 + 15*z**2.
-5*z**2*(z + 3)*(16*z - 1)
Suppose -1804*t = -1731*t. Find z, given that 21/8*z**5 + t - 51/8*z**3 - 9/4*z**2 + 6*z**4 + 0*z = 0.
-3, -2/7, 0, 1
Let a(j) = -j**4 + j**2 + j + 2. Let t(w) be the second derivative of w**6/10 - w**5/10 - w**4/2 - w**2/2 + 100*w. Let i(u) = 2*a(u) + t(u). Factor i(v).
(v - 3)*(v - 1)*(v + 1)**2
Suppose 5*z - 124 = 56. Let b be (-4)/z - (-3135)/27. Solve 20*c**2 - 28*c**5 - 24 + 43*c + 120*c**4 + 51*c - b*c**2 + 22*c - 88*c**3 = 0.
-1, 2/7, 1, 3
Suppose -5*o + 8 = z, 20*z - 19*z = -4*o + 6. Let q be (o/18)/((-32)/(-64)). Let 8/3 - 2/9*c**2 - 16/9*c + q*c**3 = 0. What is c?
-3, 2
Let n = 125799/8 + -125793/8. Let -3/4*g**2 - n*g + 9 = 0. Calculate g.
-4, 3
Let k(i) be the first derivative of -11979*i**6 - 372438*i**5/5 + 91278*i**4 + 74432*i**3/3 + 2336*i**2 + 96*i - 1262. Find j such that k(j) = 0.
-6, -2/33, 1
Let d(y) be the third derivative of -y**6/600 + y**5/6 - 56*y**4/15 - 784*y**3/5 + 6*y**2 - 94. Let d(t) = 0. What is t?
-6, 28
Let k(y) be the second derivative of -y**4/90 + 16*y**3/45 - 64*y**2/15 + 2*y - 138. Factor k(g).
-2*(g - 8)**2/15
Let o(j) be the first derivative of 5*j**4/4 + 395*j**3/3 + 760*j**2 + 1500*j - 3548. Let o(g) = 0. What is g?
-75, -2
Let l(f) be the third derivative of 54/5*f**3 + 0*f - 1/300*f**6 - 39/20*f**4 + 0 + 2/15*f**5 - 71*f**2. Solve l(y) = 0.
2, 9
Factor 106/11*x - 20/11*x**2 - 84/11 - 2/11*x**3.
-2*(x - 3)*(x - 1)*(x + 14)/11
Let f(j) = 270*j - 3925. Let t(w) = -143 + 268*w - 2230 - 4*w**2 - 1553 + 5*w**2. Let l(i) = -6*f(i) + 5*t(i). Suppose l(x) = 0. Calculate x.
28
Determine h, given that -2/25*h**2 + 7764/25*h - 7534962/25 = 0.
1941
Let n(z) = -2*z**3 - 17*z**2 - z + 48. Let o be n(-8). Let u be -3 - 555/259*14/o. Factor 0 - 1/4*g**2 + u*g.
-g*(g - 3)/4
Let t(q) be the first derivative of q**6/12 + 21*q**5/10 + 35*q**4/8 - 19*q**3/2 - 276. Solve t(h) = 0.
-19, -3, 0, 1
Let v(j) be the second derivative of -1/6*j**6 + 10/3*j**3 - 1/2*j**5 - 1 + 5/4*j**4 + 32*j - 10*j**2. Factor v(c).
-5*(c - 1)**2*(c + 2)**2
Let p(d) = -16*d**2 + 5*d + 12. Let m be p(-5). Let v = -408 - m. Factor -f**2 - f - 1/4 + 5/4*f**4 + 1/2*f**3 + 1/2*f**v.
(f - 1)*(f + 1)**3*(2*f + 1)/4
Let h(t) = 11*t**3 - 5*t**2 + 5*t + 5. Let p(y) = 7*y**3 - 3*y**2 + 3*y + 3. Let m = -175 - -170. Let u(w) = m*h(w) + 8*p(w). Suppose u(v) = 0. Calculate v.
-1, 1
Let d = 87524 + -87519. Suppose 10/3*f + 22/3*f**4 - 28/3*f**2 - 4/3*f**3 + 2 - 2*f**d = 0. What is f?
-1, -1/3, 1, 3
Let j(d) be the second derivative of d**5/60 + 107*d**4/36 + 3431*d**3/18 + 28717*d**2/6 - 260*d + 11. Find q such that j(q) = 0.
-47, -13
Suppose 4*k + 154 = -2*j - 838, 5*j = 2*k + 472. Let s be 16*(-5 + k/(-48)). Determine p, given that 0 - 16/13*p**s + 6/13*p**4 - 2/13*p**3 - 8/13*p = 0.
-1, -2/3, 0, 2
Factor 14387