4 + 2*n**3 = 0. Calculate n.
-1, 0, 2
Suppose 28*s = 87 - 255. Let w(b) = -b**2 - 6*b + 16. Let r(m) = -m**2 - 4*m + 15. Let i(j) = s*w(j) + 7*r(j). Solve i(u) = 0.
-1, 9
Let c be (-2)/162*-24*12. Let x(r) be the first derivative of 0*r**3 - 4/9*r**4 - 64/9*r + c*r**2 + 7 + 4/45*r**5. Solve x(d) = 0.
-2, 2
Let d(z) be the third derivative of z**5/480 + 25*z**4/96 + 23*z**3/6 - 1235*z**2. Factor d(a).
(a + 4)*(a + 46)/8
Factor 142*f**2 - 30*f**2 - 1053*f - 128 - 12*f**3 + 941*f.
-4*(f - 8)*(f - 2)*(3*f + 2)
Suppose 5*f = 25*f + 3 - 3. Let i(u) be the second derivative of 0 + f*u**3 + 0*u**2 - 1/63*u**7 - 1/9*u**4 - 4/45*u**6 - 16*u - 1/6*u**5. Factor i(v).
-2*v**2*(v + 1)**2*(v + 2)/3
Let c(r) = -68*r + 425. Let s be c(6). Factor -123*y**2 + s*y - 3*y**4 - 34*y**3 - 32*y**3 - 77*y.
-3*y*(y + 1)**2*(y + 20)
Suppose 2*p + 32 = 2*b + 26, 3*p = -3*b + 27. What is a in -3*a**3 + p*a - 5/2*a**2 - 1/4*a**4 + 11/4 = 0?
-11, -1, 1
Let w(u) be the second derivative of -u**6/70 + 51*u**5/35 - 9*u**4/4 - 136*u**3/7 + 402*u**2/7 - 44*u - 5. What is b in w(b) = 0?
-2, 1, 2, 67
Factor 0 + 109/2*g**2 - 2*g - 27/2*g**3.
-g*(g - 4)*(27*g - 1)/2
Suppose 47*k - 1457 = 16*k. Suppose -3*w = 9, -x - 26 + k = -w. Determine s so that -21/2*s**5 + 12 + 75/2*s**3 - x*s**4 - 54*s + 33*s**2 = 0.
-2, 2/7, 1
Let c(a) = -5*a**3 - a**2. Let u be c(-1). What is g in 4*g**2 + 3*g**3 - 35*g**4 - g**5 + 69*g**4 - 4*g - 36*g**u = 0?
-2, 0, 1
Solve 31395675 + 3139*o + 633*o - 7*o**2 + 10*o**2 + 16418*o - 780*o = 0.
-3235
Let q(c) be the third derivative of -2/315*c**5 + 1/1260*c**6 + 0 + 0*c**3 - 5/252*c**4 + 0*c + 40*c**2. Factor q(g).
2*g*(g - 5)*(g + 1)/21
Let j = -3/1586 + 4001/19032. Let w(x) be the second derivative of -11*x - 5/12*x**3 + j*x**4 + 0 - 5/2*x**2. What is s in w(s) = 0?
-1, 2
Let d = -60470 - -13122022/217. Let x = d - 1/217. Find v such that -81/7 + 18/7*v - x*v**2 = 0.
9
Let p(w) = -w**3 + 2*w**2 + 2*w + 3. Let g be p(3). Let s(y) = -36*y - 178. Let t be s(-5). Let -3/7*r**4 + g + 3/7*r**3 + 15/7*r**t + 9/7*r = 0. What is r?
-1, 0, 3
Let r = -570 + 566. Let z be 16/(-64) + -1 + (-21)/r. Factor -2/7*o**3 + o**2 - o**z + 2/7*o + 0.
-o*(o - 1)*(o + 1)*(7*o + 2)/7
What is l in 2 + 8*l**3 + 14*l**4 - 5/2*l - 21/2*l**2 = 0?
-1, -4/7, 1/2
Let i(r) be the second derivative of -r**5/4 - 305*r**4/12 + 170*r**3/3 + 930*r**2 - 6138*r. Let i(o) = 0. What is o?
-62, -2, 3
Suppose -8*s + s + 72 = 11*s. Let y(w) be the second derivative of -19*w + s*w**2 + 0 + 1/3*w**4 - 2*w**3. Solve y(v) = 0.
1, 2
Let u = -1513 + 1518. Let q(i) be the third derivative of -25/4*i**4 + 0*i + 125/3*i**3 + 1/2*i**u + 0 - 4*i**2 - 1/60*i**6. Let q(s) = 0. Calculate s.
5
Let r(u) be the second derivative of u**6/135 + u**5/45 - 5*u**4/54 - 2*u**3/9 + 380*u. Factor r(c).
2*c*(c - 2)*(c + 1)*(c + 3)/9
Let o be (420/(-80))/((-2)/48). Let 56*f**4 + 54*f**4 - 376*f + o*f - 120 - 135*f**2 - 105*f**4 = 0. Calculate f.
-4, -1, 6
Suppose 2 = -3*l - d, l - 16*d = -19*d - 6. Suppose 48 = 5*u + 38. Factor l - u*v + 8/3*v**2.
2*v*(4*v - 3)/3
Let i(c) = -1096*c + 117274. Let k be i(107). Factor 0*y**k + 4/23*y**4 + 0 + 0*y + 10/23*y**5 + 0*y**3.
2*y**4*(5*y + 2)/23
Let v(g) be the second derivative of 3/40*g**5 - 1/84*g**7 - 1/6*g**3 + 0 - 1/6*g**4 + 1/24*g**6 + 3/8*g**2 + 82*g. Find y, given that v(y) = 0.
-1, 1/2, 1, 3
Let w(m) = -7*m + 53. Let r be w(7). Let k be (-25 - 2)/(0 + r - 5). Suppose 144 + k*a**3 + 9*a**3 - 58*a**3 + 980*a**2 - 736*a - 78*a**3 = 0. Calculate a.
2/5, 9
Let w be 22/33*21/2 - 5. Factor 29*a**3 + 376 - a**5 - 376 + 13*a**4 + 15*a**w.
-a**2*(a - 15)*(a + 1)**2
Let h(d) = -1 + 2*d - 886*d**2 + 888*d**2 + 5 + 0 - 2. Let k be h(0). Let 1/8*u**3 - 1/8*u + 1/4 - 1/4*u**k = 0. Calculate u.
-1, 1, 2
Let p(x) = 80*x**2 + 1215*x + 1080. Let y(m) = 3*m**2 + 49*m + 42. Let a(j) = -2*j - 1. Let w(h) = 2*a(h) + y(h). Let n(z) = -2*p(z) + 55*w(z). Factor n(g).
5*(g + 1)*(g + 8)
Suppose -23 = -46*a - 48 + 25. Let v(w) be the third derivative of 0*w**5 + 0 + a*w - 1/8*w**6 - 1/21*w**7 + 5/24*w**4 + w**2 + 0*w**3. Factor v(g).
-5*g*(g + 1)**2*(2*g - 1)
Suppose -3*b - 9 + 3 = 4*s, 0 = -4*b + 4*s + 20. Suppose 14*o - 44 + 16 = 0. Determine r, given that -8/5 + b*r**3 + 14/5*r**o - 16/5*r = 0.
-2, -2/5, 1
Let t be 2*-1 + (16 - -1) + -1. Let f be 10 - (3*3/(-9) - -5). Factor -t*m**5 + 27*m**5 - m**4 + 11*m + f*m**3 - 14*m**5 + 3 + 14*m**2.
-(m - 3)*(m + 1)**4
Factor -7/6*k**3 - 29/6*k**2 + 2/3*k + 16/3.
-(k - 1)*(k + 4)*(7*k + 8)/6
Let n(t) be the first derivative of t**6/27 + 34*t**5/45 + 13*t**4/3 + 280*t**3/27 + 88*t**2/9 + 1763. Factor n(i).
2*i*(i + 2)**3*(i + 11)/9
Let q(h) be the third derivative of h**8/84 - 32*h**7/105 + 47*h**6/15 - 244*h**5/15 + 265*h**4/6 - 200*h**3/3 - 11185*h**2. Find z, given that q(z) = 0.
1, 4, 5
Find a, given that -5184*a**2 - 29507*a**5 - 64*a**4 + 23328*a + 29506*a**5 - 996*a**3 + 174960 + 9*a**4 = 0.
-18, -6, 5
Factor 374*m - 1/2*m**3 + 186*m**2 + 0.
-m*(m - 374)*(m + 2)/2
Suppose -169/4 + 923/2*l - 5041/4*l**2 = 0. Calculate l.
13/71
Solve -9/2*x**3 + 47/4*x**2 - 1/4*x**4 + 36*x + 20 = 0 for x.
-20, -1, 4
Factor 720*m + 3*m**2 - 1764 + 270 - 2211*m.
3*(m - 498)*(m + 1)
Suppose 4*o + 6*x - 44 = 7*x, -4*o = -5*x - 60. Let w be o/(-25)*(-80)/56. Determine p so that 6/7 + 2/7*p**4 - 8/7*p**2 - w*p + 4/7*p**3 = 0.
-3, -1, 1
Let a(b) = -5*b**2 - 20*b + 3. Let f(y) = 12*y**2 + 22*y - 8. Let o be f(-2). Let l be a(o). Factor -4/15*d**2 + 6/5 - 8/15*d**l + 8/5*d + 2/15*d**4.
2*(d - 3)**2*(d + 1)**2/15
What is w in -72*w**2 - 2376 - 74*w**2 + 142*w**2 + 260*w = 0?
11, 54
Determine f, given that 1/10*f**3 - 4/5*f**2 - 91/10*f + 49/5 = 0.
-7, 1, 14
Suppose -2*j = 4*w - 76, -33*w = -29*w - j - 94. Let z(m) be the first derivative of -5/2*m**2 + 5/3*m**3 + 0*m + w. Factor z(d).
5*d*(d - 1)
Let k(r) be the first derivative of 2*r**5/5 + 12*r**4 - 50*r**3/3 - 9763. Let k(l) = 0. Calculate l.
-25, 0, 1
Let z(c) be the first derivative of -9/10*c**2 + 9 + 4/5*c**3 + 0*c**5 - 3/10*c**4 - 46*c + 1/50*c**6. Let l(o) be the first derivative of z(o). Factor l(w).
3*(w - 1)**3*(w + 3)/5
Let i be (110/45)/11 - 2/9. Let c(r) be the first derivative of -r**4 + 16/3*r**3 - 2 + 0*r + i*r**2. Determine a so that c(a) = 0.
0, 4
Let i(o) = -6*o**2 - 62*o + 1046. Let y be i(9). Factor -2/15*k**y + 8/15*k - 8/15.
-2*(k - 2)**2/15
Factor 60*x**3 + 118*x + 106*x - 15*x + x**4 - 253*x**2 - 17*x.
x*(x - 3)*(x - 1)*(x + 64)
Let u(f) be the third derivative of f**8/1176 - f**6/420 - 5843*f**2. Determine p so that u(p) = 0.
-1, 0, 1
Let 224/5 + 202*k + 7/5*k**3 + 793/5*k**2 = 0. Calculate k.
-112, -1, -2/7
Let x(s) = s**2 - s + 2. Let g(o) = 3*o**2 + o - 11. Let i be g(-4). Let r(m) = 6*m**2 - 5*m + 10. Let w(p) = i*x(p) - 6*r(p). Factor w(q).
-3*(q - 1)*(q + 2)
Suppose 184*t - 29624 - 2/7*t**2 = 0. Calculate t.
322
Let t(x) be the first derivative of x**5/60 - 2*x**4 + 47*x**3/6 - 106*x**2 - 32. Let d(b) be the second derivative of t(b). Let d(c) = 0. What is c?
1, 47
Let b(w) = -52*w**4 + 22*w**4 - 14*w + 27*w**4 - 34 + 29*w**2. Let i(h) = -3*h**4 + 30*h**2 - 15*h - 33. Let r(d) = 3*b(d) - 2*i(d). Solve r(y) = 0 for y.
-3, -1, 2
What is u in 961/2 - 61/2*u**2 - 899/2*u - 1/2*u**3 = 0?
-31, 1
Let h be ((-27)/6)/((-3)/(-28)). Let m = h + 108. Factor m*c**2 - 65*c**2 + 0 + 3*c - 4.
(c - 1)*(c + 4)
Let w(u) = u**3 + 41*u**2 + 544*u + 2298. Let j(r) = -3*r**3 - 123*r**2 - 1632*r - 6896. Let p(h) = 3*j(h) + 8*w(h). Factor p(f).
-(f + 9)*(f + 16)**2
Let w be 665/(-3268) - ((-672)/344 + 2) - 1479/(-60). Factor 2/5*s**3 - w*s - 96/5 - 24/5*s**2.
2*(s - 16)*(s + 1)*(s + 3)/5
Let v(x) be the second derivative of 2*x**7/105 + x**6/10 - 9*x**2 + 2*x - 5. Let z(g) be the first derivative of v(g). Factor z(d).
4*d**3*(d + 3)
Let l(r) be the second derivative of r**6/75 - 2*r**5/5 - 73*r**4/30 + 92*r**3/15 - 1332*r. Solve l(u) = 0.
-4, 0, 1, 23
Let x be 3/1239*6309/27. Let q = x + 1/177. Suppose -q*b**3 + 0*b**2 + 2/7*b**4 + 4/7*b - 2/7 = 0. Calculate b.
-1, 1
Solve -1947/5*y**3 - 1188/5*y**2 + 108/5*y - 30*y**5 + 0 - 963/5*y**4 = 0 for y.
-3, -2, -3/2, 0, 2/25
Let l(r) be the third derivative of r**6/96 - r**5/6 + 35*r**4/96 + 67*r**2. Factor l(b).
5*b*(b - 7)*(b - 1)/4
Let i(s) be the first derivative of s**5/60 + 5