2*p**3 - 3*p**2 + 2*p. Let x = 279 - 281. Let v be g(x). Suppose -1/8*w**2 - 1/8*w**3 + v + 0*w = 0. What is w?
-1, 0
Let v(y) be the first derivative of -22 + 35/2*y**2 - 15/4*y**4 + 5*y**3 - y**5 - 30*y. Factor v(j).
-5*(j - 1)**2*(j + 2)*(j + 3)
Find h, given that 585*h**2 + 51*h**2 - 237*h**3 + 233*h**3 = 0.
0, 159
Let -3*x - 335*x**4 - 505*x**2 - 25*x**5 - 107*x - 265*x**3 - 434*x**3 - 258*x**3 + 252*x**3 = 0. Calculate x.
-11, -1, -2/5, 0
Let s(g) be the second derivative of 0 - 13/11*g**2 + 77*g - 1/6*g**4 - 25/33*g**3 + 1/110*g**5. Factor s(v).
2*(v - 13)*(v + 1)**2/11
Let y(b) be the second derivative of -b**6/60 + b**5/40 + 23*b**4/24 + b**3/4 - 45*b**2/2 + 1288*b. Factor y(s).
-(s - 5)*(s - 2)*(s + 3)**2/2
Suppose 19 = 7*v - 30. Suppose 4*f - 3 = v*f + 3*b, 3*f - 15 = 3*b. Let 0 + 2/5*w**f + 6/5*w**4 + 2/5*w - 2*w**3 = 0. What is w?
-1/3, 0, 1
Let x(f) be the third derivative of 5*f**8/336 + 10*f**7/7 + 50*f**6 + 2320*f**5/3 + 6400*f**4 + 30720*f**3 - 13*f**2 + 2. Solve x(z) = 0.
-24, -4
Let v(y) be the first derivative of 5/4*y**4 - 13/9*y**3 - 1/2*y**2 + 77 + 1/3*y. Suppose v(w) = 0. Calculate w.
-1/3, 1/5, 1
Let z be 198/44 - (1/68)/((-2)/(-580)). Let -2/17*w + 4/17 + 2/17*w**3 - z*w**2 = 0. Calculate w.
-1, 1, 2
Let m be (56/70)/((-2)/(-5)). Factor 30*t**3 - 15*t**3 + 33*t - 14*t**3 - 16 - 18*t**m.
(t - 16)*(t - 1)**2
Let t be 9*(-1)/(-45)*10. Solve -144*z**4 - t*z + 2*z**3 + 0*z**3 + 289*z**4 - 144*z**4 - z**2 = 0.
-2, -1, 0, 1
Let g(t) be the second derivative of -t**6/6 - 9*t**5/4 - 15*t**4/2 + 10*t**3/3 + 60*t**2 - 511*t. Factor g(d).
-5*(d - 1)*(d + 2)**2*(d + 6)
Let s(c) = 2*c**4 + 10*c**3 + 30*c**2 - 10*c - 14. Let w(l) = -6 + 17*l**3 + l**4 - 9 - 11*l - 6*l**3 + 29*l**2. Let m(n) = -5*s(n) + 6*w(n). Factor m(k).
-4*(k - 5)*(k - 1)*(k + 1)**2
Let 270008320/9*a**2 + 0 - 175104*a**3 + 3074/9*a**4 - 2/9*a**5 - 268435456/9*a = 0. Calculate a.
0, 1, 512
Let p(t) = 4*t**2 - 27*t - 3. Let r be p(7). Factor 19*i**2 + 4*i**4 - 16 - 4*i**r - 8*i**3 + 20*i - 2*i**4 - 13*i**2.
-2*(i - 1)**2*(i + 2)*(i + 4)
Let v(z) be the first derivative of -59 - z - 3/8*z**2 - 1/24*z**3. Factor v(r).
-(r + 2)*(r + 4)/8
Suppose -2*n**3 - 1361*n**2 + 392*n + 1269*n**2 + 146 - 546 = 0. What is n?
-50, 2
Let a(o) be the first derivative of -2*o**6/3 + 24*o**4 + 256*o**3/3 + 96*o**2 + 946. Suppose a(q) = 0. What is q?
-2, 0, 6
Let o = 331358 + -1656786/5. Factor 18/5*f**3 + o*f + 2*f**4 + 0 + 2/5*f**5 + 14/5*f**2.
2*f*(f + 1)**3*(f + 2)/5
Let 0 - 1/2*u**4 - 6*u**3 + 0*u + 13/2*u**2 = 0. What is u?
-13, 0, 1
Let 0 - 103/2*d**2 + 0*d - 1/2*d**3 = 0. What is d?
-103, 0
Solve -579 - 3265 - 4*w**2 + 1042*w - 794*w = 0 for w.
31
Let l(v) be the second derivative of v**5/110 + 19*v**4/66 - 41*v**3/33 + 21*v**2/11 - 3155*v. Determine n so that l(n) = 0.
-21, 1
Suppose 2*m - 139*c + 137*c = 12, -2*c = 5*m - 2. Suppose 29*g**m - 152*g - 4 - 68*g**2 + 4 + 35*g**2 = 0. What is g?
-38, 0
Let x(h) be the second derivative of -h**4/21 - 208*h**3/21 - 1710*h**2/7 + 39*h - 18. Factor x(s).
-4*(s + 9)*(s + 95)/7
Suppose -264*z + 46*z**4 - 12*z**2 - z**4 - 9*z**5 - 82*z**3 + 30*z**4 + 280*z**3 + 12*z**5 = 0. What is z?
-22, -2, 0, 1
Solve -108*k + 406*k + 292*k + k**2 + 87025 = 0.
-295
Let o(q) be the second derivative of 125/6*q**3 + 1/12*q**5 + 0 - 15*q + 25/12*q**4 - 9*q**2. Let h(y) be the first derivative of o(y). Let h(m) = 0. What is m?
-5
Let t = -11555/56 + 1813/8. Let o = t - 235/14. Factor -k**3 + 0 - 5/2*k**5 + 0*k**2 + 0*k - o*k**4.
-k**3*(k + 1)*(5*k + 2)/2
Suppose -3*c + 7*c = 32. Suppose 6 = -c*u + 11*u. Factor -14*o**5 + o - 2*o**u + 15*o**5 + 2*o**4 + 0*o - 2*o.
o*(o - 1)*(o + 1)**3
Factor -63/4 - 121/8*z + 3/4*z**2 + 1/8*z**3.
(z - 9)*(z + 1)*(z + 14)/8
Let h(c) = c**3 - 43*c**2 - c + 45. Let v be h(43). Let -64*b**5 + v + 36*b**3 + 160*b**4 - 20*b + 14 - 4 + 18*b - 202*b**2 = 0. What is b?
-1, -1/4, 1/4, 3/2, 2
Let q = 639297 + -639287. Factor -q + 2/3*h + 1/6*h**4 + 15/2*h**2 - 3*h**3.
(h - 15)*(h - 2)**2*(h + 1)/6
Let c(t) be the second derivative of -96*t + 0 - 1/132*t**4 - 101/33*t**3 - 10201/22*t**2. What is s in c(s) = 0?
-101
Find w, given that -11020/7*w - 128/7*w**3 - 2/7*w**4 - 13456/7 - 342*w**2 = 0.
-29, -4, -2
Let p(b) = -36*b**3 + 852*b**2 - 3438*b + 3294. Let x(n) = -5*n**3 + 122*n**2 - 491*n + 471. Let q(z) = -6*p(z) + 44*x(z). Factor q(s).
-4*(s - 60)*(s - 2)**2
Let q(t) = 2*t**2 + 11*t + 1. Let u be q(-9). Suppose 0 = v - 3*z - 15, -8*z + 10*z = -8. Factor -50*k + 6*k + u*k**2 + 6*k**2 - 25*k**v + 8.
-(k - 2)*(5*k - 2)**2
Let z be ((-24)/(-54))/(4/48). Let q(p) = -3*p**2 - 255*p - 969. Let g be q(-81). Suppose 0*v**g - z*v + 1/3*v**4 + 0 - 4*v**2 = 0. Calculate v.
-2, 0, 4
What is c in 75/2*c + 97/4*c**2 + 1/4*c**4 - 13*c**3 + 0 = 0?
-1, 0, 3, 50
Solve 18263510 - 18263510 - 324*w**2 - 3*w**3 = 0 for w.
-108, 0
Let q(k) be the third derivative of k**6/120 - 11*k**5/40 + 5*k**4/4 + 169*k**3/6 - 70*k**2 + 1. Let h(w) be the first derivative of q(w). Factor h(r).
3*(r - 10)*(r - 1)
Suppose -1395/4*d - 348 - 3/4*d**2 = 0. What is d?
-464, -1
Let k be ((712/2848)/(11/(-12)))/((-6)/4). Determine c so that -k*c + 0 + 2/11*c**2 = 0.
0, 1
Let s = 913/55260 - -2/13815. Let w(o) be the third derivative of 1/60*o**5 + 1/150*o**6 + 1/1050*o**7 + 0*o**3 + s*o**4 + 0*o + 0 - 5*o**2. Factor w(x).
x*(x + 1)**2*(x + 2)/5
Let f be (58/(-261))/(2/(-36)). Solve -17*x**4 + 42*x - 20 + 4*x**4 - 16*x**4 - 6*x**f + 150*x**3 - 215*x**2 + 78*x = 0 for x.
2/7, 1, 2
Let j(z) be the second derivative of z**4/66 - 13*z**3/11 + 140*z**2/11 + 9337*z. Find p, given that j(p) = 0.
4, 35
Suppose f + 6 = -5*y, 15*f + 8 = 19*f + 4*y. Let s(d) be the second derivative of -4/3*d**3 + 9*d - 1/9*d**f + 0 - 6*d**2. Factor s(p).
-4*(p + 3)**2/3
Let r(x) be the second derivative of -x**5/50 + 7*x**4/6 - 96*x**3/5 - 324*x**2/5 - 846*x. Factor r(g).
-2*(g - 18)**2*(g + 1)/5
Let v(u) = -7*u**3 + 5*u**2 - 7*u**2 - u - 1 + u**3. Let o be v(-1). Determine w so that 5*w**3 + 5*w**o - 11 + 20 - 10*w**2 - 9 = 0.
-2, 0, 1
Let w(x) be the second derivative of 64/3*x**3 + 261*x + 0 + 1/5*x**5 + 11/3*x**4 + 56*x**2. Find h, given that w(h) = 0.
-7, -2
Let g be (-77)/(-21) - (-12)/(-18). Suppose 12*n = 10*n. Factor -v**3 + 4 + 7*v - v**g - v + n*v**3.
-2*(v - 2)*(v + 1)**2
Let s(p) be the second derivative of -p**5/120 - 163*p**4/24 + 737*p**3/18 - 82*p**2 + 8117*p. Solve s(x) = 0 for x.
-492, 1, 2
Let k(q) be the third derivative of 3*q**2 + 1/90*q**6 + 19/18*q**4 + 4/9*q**5 + 93*q + 0*q**3 + 0. Factor k(u).
4*u*(u + 1)*(u + 19)/3
Let i(z) be the first derivative of 5/6*z**6 - 10/3*z**3 + 0*z**5 + 0*z - 15/4*z**4 + 0*z**2 + 77. Factor i(v).
5*v**2*(v - 2)*(v + 1)**2
Let g = -3290 + 3293. Let b(j) be the third derivative of -1/12*j**5 - 5/3*j**4 + 0 + 12*j**2 - 40/3*j**g + 0*j. Factor b(c).
-5*(c + 4)**2
Let c(f) be the first derivative of -9*f**4 + 64*f**3/3 + 8*f**2 + 2192. Find w, given that c(w) = 0.
-2/9, 0, 2
Solve 491*w**4 + 13*w**3 - 493*w**4 + 150*w**3 + 39*w**3 - 57*w**2 - 339*w**2 = 0.
0, 2, 99
Let h(t) be the third derivative of -77/6*t**4 - 9 + 1/30*t**5 + 12*t**2 + 0*t + 5929/3*t**3. Factor h(u).
2*(u - 77)**2
Let k(q) = -2*q**3 + 3*q**2 + 2*q - 1. Let d be k(-1). Determine c, given that 7*c**2 - 10*c + 0*c + 5*c**2 - 7*c**d = 0.
0, 2
Let l = -16/3073 - 364183/288862. Let p = -36/47 - l. Factor 1/4*c**2 + 1/4*c**4 + p*c**3 + 0*c + 0.
c**2*(c + 1)**2/4
Let b(k) = 10*k**2 - 10*k. Let y be b(-2). What is d in -2*d**5 - y*d**3 + 551*d**4 + 3*d**5 - 48 + 64*d - 523*d**4 - 5*d**5 + 20*d**2 = 0?
-1, 1, 2, 3
Let a(q) be the third derivative of 7*q**6/180 - 313*q**5/90 + 109*q**4/18 + 88*q**3/9 - 3034*q**2. Factor a(w).
2*(w - 44)*(w - 1)*(7*w + 2)/3
Let z be (55 + -1)*(2/48)/(842/1263)*4. Factor -z*h**2 + 9*h**3 + 1/4*h**5 + 0 - 5/2*h**4 + 27/4*h.
h*(h - 3)**3*(h - 1)/4
Factor -15438/5*l + 386 + 32/5*l**3 + 30864/5*l**2.
2*(l + 965)*(4*l - 1)**2/5
Factor 30*a**3 - 4*a**2 - 77*a**3 - 32*a - 64*a + 25*a**3 + 23*a**3.
a*(a - 12)*(a + 8)
Determine w, given that -40*w**2 + 1013*w + 91*w - 340*w**2 + 40*w**3 - 82*w**3 + 46*w**3 = 0.
0, 3, 92
Suppose 0 = -2*c + 3*y - 8 - 1, -15 = -3*y. Let b(l) be the third derivative of 0*l - 13/270*l**5 - 1/54*l**4 + 0 + 12*l**2 + 0*l**c. Factor b(a).
-2