e -2 - 1*(c - 3). Solve -18*d**4 + 5*d**2 + 2*d**2 + 4*d**2 - 15*d**j - 5*d**2 + 27*d**5 = 0.
-2/3, 0, 1/3, 1
Suppose 387*l + 312 = 237*l + 306*l. Suppose -1/3*i**2 + l + 1/3*i = 0. What is i?
-2, 3
Let h(y) = -34*y - 304. Let b = 151 - 160. Let j be h(b). Factor -2/9*i**3 + 0*i - 1/9*i**4 - 1/9*i**j + 0.
-i**2*(i + 1)**2/9
Let c(t) be the second derivative of -t**7/315 - t**6/60 + 4*t**5/15 - 7*t**4/9 - 74*t**2 + 229*t. Let h(v) be the first derivative of c(v). Factor h(f).
-2*f*(f - 2)**2*(f + 7)/3
Factor -158*f**2 + 324*f**2 + 211*f - 40 - 167*f**2 - 105 - 65.
-(f - 210)*(f - 1)
Let l(k) = -k**2 + 2*k - 1. Let z be l(3). Let j = 7 + z. Suppose -3*w**2 - 66*w**3 + 68*w**j + 3*w**2 = 0. What is w?
0
Let w = -296 - -776. Determine g, given that 1008*g + 3024*g**2 + 91*g**5 - w - 3912*g**3 + 94*g**5 - 6390*g**4 + 490*g**5 = 0.
-2/3, 2/5, 10
Let h be -1 + 30/(-24)*-4. Let -23*n - 97*n**h + 248*n**5 - 9*n - 68*n**5 - 11*n**4 - 208*n**2 - 392*n**3 = 0. What is n?
-2/3, -2/5, -1/3, 0, 2
Let z(d) be the second derivative of -215*d**4/48 + 595*d**3/24 + 75*d**2/4 + 2203*d. Determine f so that z(f) = 0.
-10/43, 3
Let i(d) = -d**3 - d**2 + 4*d + 8. Let q be i(-2). Determine j, given that -8 + 66*j**q - 37*j**2 + 48*j + 104*j**5 - 122*j**5 - 29*j**2 - 38*j**3 = 0.
-1, 1/3, 2
Let d = 269 - 267. Factor 4*k**d + 88*k - 14 + 28*k - 106.
4*(k - 1)*(k + 30)
Let j(l) = 67*l - 734. Let w be j(11). Let r(i) be the third derivative of 3/40*i**5 + 7/240*i**6 + 0*i + 0*i**w + 0 - 11*i**2 + 1/24*i**4. Factor r(h).
h*(h + 1)*(7*h + 2)/2
Let d(y) be the third derivative of -y**6/180 - 8*y**5/15 - 5*y**4/4 + 94*y**3/9 + 864*y**2. Factor d(z).
-2*(z - 1)*(z + 2)*(z + 47)/3
Let j be 42/15 - 2 - 2/(-10). Suppose 4*y = -2*v + 1 + 9, v + j = 4*y. Factor 0 + 9/2*i**2 - 3/4*i**v - 15/4*i.
-3*i*(i - 5)*(i - 1)/4
Let a = -29347 + 29349. Suppose 2*r**5 - 16/9*r - 226/9*r**3 + 0 - 38/3*r**4 - 110/9*r**a = 0. What is r?
-1, -1/3, 0, 8
Let d(h) = h**3 - 10*h**2 - 3392*h + 33920. Let k be d(10). Factor -3/2*n**3 + 3*n**4 - 3/2*n**2 + 0 + k*n.
3*n**2*(n - 1)*(2*n + 1)/2
Find h such that -51*h - 94 - 23*h + 778 + 144*h**2 - 142*h**2 = 0.
18, 19
Let z(g) be the third derivative of g**5/90 - 2*g**4/3 - 340*g**3/9 + 19*g**2 - 49. Find t, given that z(t) = 0.
-10, 34
Let b(y) be the second derivative of 21*y**2 - 11/2*y**3 - 3/140*y**5 - 12 + 4/7*y**4 + 2*y. Let b(l) = 0. Calculate l.
2, 7
Let u(k) be the third derivative of -k**8/336 + 3*k**7/70 - 3*k**6/20 - 817*k**2. Solve u(g) = 0.
0, 3, 6
Let h(c) be the second derivative of c**7/168 - 11*c**6/120 - 3*c**5/20 + 897*c. Suppose h(b) = 0. What is b?
-1, 0, 12
Let v(d) = -168*d - 2500. Let c be v(-15). Let t(i) be the third derivative of -c*i**2 - 1/4*i**4 + 0*i + 0 - 7/30*i**5 + 0*i**3 - 1/30*i**6. Factor t(a).
-2*a*(a + 3)*(2*a + 1)
Let y(c) = c**2 + 802*c + 77283. Let j be y(-112). Suppose 4/7*w**5 + 240/7*w**j - 500/7*w + 0 - 200/7*w**2 - 8*w**4 = 0. Calculate w.
-1, 0, 5
Let i(m) = -3*m**2 + 96*m - 15. Let o be 1/(((-66)/90)/(-11)). Let t(q) = q**2 - 24*q + 4. Let z(a) = o*t(a) + 4*i(a). Factor z(j).
3*j*(j + 8)
Suppose 20*v + 240 = 25*v. Factor -11*s + 84*s - 4*s**2 - v - 21*s.
-4*(s - 12)*(s - 1)
Let c(n) = n**3 + 6*n**2 - 5*n + 13. Let f be c(-7). Let w be ((-11)/1 + 2)/f. Determine y so that 35*y**2 - y**4 - 34*y**3 + w*y**3 - 8*y + 6*y**4 - 7*y = 0.
0, 1, 3
Suppose -3*f + 4*d + 2 = -14, 16 = -4*f - 4*d. Let a(k) be the second derivative of -1/84*k**4 + 0 + 0*k**2 + 14*k + 1/140*k**5 + f*k**3. Factor a(b).
b**2*(b - 1)/7
Let f be (1/(-21))/(4/14*(-371)/1484). Determine w, given that 0 + 20/3*w**2 + 0*w + f*w**3 = 0.
-10, 0
Let i(u) be the first derivative of -1/2*u**4 + 95 - 33*u**2 + 12*u**3 + 32*u. Factor i(n).
-2*(n - 16)*(n - 1)**2
Suppose 64*h + 78*h**2 + 3*h**4 + 83/3*h**3 + 32/3 = 0. Calculate h.
-4, -1, -2/9
Suppose 24 = -5*y + 69. Let x be (-11)/(33/y) + (5 - -1). Let 0*z**x + 0*z**4 + 2*z - 7*z**3 - 4*z**4 + 4*z**2 + 5*z**3 = 0. What is z?
-1, -1/2, 0, 1
Let q be (9 - 10)/(1/(-1)). Let w(l) = 2*l - 17. Let d be w(8). Let a(u) = u**2 - u + 1. Let m(o) = 2*o**2 - 3*o + 1. Let x(i) = d*a(i) + q*m(i). Factor x(n).
n*(n - 2)
Let k be (-1)/((-48)/216 - 20/72). Solve -1/6*d**3 + 1/6*d**k + 8/3*d + 10/3 = 0.
-2, 5
Factor 82/3*i + 460/3 - 2/3*i**2.
-2*(i - 46)*(i + 5)/3
Let l be 1/7*-2 + 1296/567. Let -3*g**4 + 4*g - 2118 + 44*g + 24*g**3 + 2103 - 54*g**l = 0. What is g?
1, 5
Suppose -8*y + 8*y + 64*y**3 - 32*y**4 - 107*y**3 - 177*y**3 - y**5 = 0. What is y?
-22, -10, 0
Factor -128 + 641*p**2 - 1277*p**2 - 127*p + 637*p**2.
(p - 128)*(p + 1)
Let a(o) = -3*o**2 + 11*o + 149. Let s be a(9). Let n(g) be the first derivative of 8/21*g**3 + 1/7*g**4 - 2/35*g**s + 0*g + 17 - 8/7*g**2. Factor n(p).
-2*p*(p - 2)**2*(p + 2)/7
Let l(h) be the third derivative of 0 + 289/10*h**4 + 19652/15*h**3 + 17/50*h**5 + 1/600*h**6 - 10*h**2 + 0*h. Factor l(f).
(f + 34)**3/5
Let t = 78732/197105 + 22/39421. Factor 24/5 + 2/5*o - t*o**3 - 24/5*o**2.
-2*(o - 1)*(o + 1)*(o + 12)/5
Let y be (2*3)/(-4 + 2) - -7. Suppose -2*k = -a + 4, -y*a - k + 5 = -2. Factor -2*c**2 - 2*c**3 + 2*c - 62 - 2*c**a + 62 + 4*c**4.
2*c*(c - 1)*(c + 1)*(2*c - 1)
Let r be (-6)/(-63) + 3597/(-63). Let x = 61 + r. Solve 550*c**2 + 71*c**x - 19*c**4 - 558*c**2 - 44*c**3 = 0 for c.
-2/13, 0, 1
Factor 144/7*d**2 - 6/7*d**4 + 0*d + 0 + 430/7*d**3.
-2*d**2*(d - 72)*(3*d + 1)/7
Let y(n) be the first derivative of 2*n**3/9 + 118*n**2 - 3185. Let y(o) = 0. Calculate o.
-354, 0
Suppose -201*k + 204*k + 10 = 5*z, -4*k + 3*z + 5 = 0. Let j(t) be the first derivative of 6 + 0*t**2 + 0*t + 1/15*t**k + 0*t**3 - 1/6*t**4. Solve j(a) = 0.
0, 2
Suppose k + 4*s = 2*s + 46, -4*k + s + 193 = 0. Suppose 5*p - k = 2*n, -5*p - 5*n = -9 - 11. What is m in p*m**4 + m**3 + 4*m**4 + 2*m**3 + 9*m**5 = 0?
-1, -1/3, 0
Suppose -1260870*o + 1260872*o = 0. Let d = 124 - 866/7. Factor -2/7*r**4 + 0*r + d*r**2 + o*r**3 + 0.
-2*r**2*(r - 1)*(r + 1)/7
Factor -236*b**4 + 360*b - 1820*b**3 + 261*b**4 + 1083*b**2 + 352*b**2.
5*b*(b - 72)*(b - 1)*(5*b + 1)
Let j(o) be the third derivative of -2*o**7/315 - 47*o**6/90 - 59*o**5/15 - 217*o**4/18 - 172*o**3/9 + 7*o**2 + o + 20. Suppose j(z) = 0. Calculate z.
-43, -2, -1
Let m(q) = -14*q**2 + 3628*q + 6880. Let h(j) = 5*j**2 - 1209*j - 2276. Let v(s) = -8*h(s) - 3*m(s). Suppose v(u) = 0. What is u?
-2, 608
Suppose -24*s - 52*s + 372 = 26*s + 84*s. Find o, given that -183/4*o + 5/4*o**s - 37/2 = 0.
-2/5, 37
Let a be ((((-3894)/44)/(-59))/((-7)/4))/(16/(-192)). Factor 4/7*s**3 + 0 - a*s + 68/7*s**2.
4*s*(s - 1)*(s + 18)/7
Let g(t) = 2*t**2 - 28*t + 23. Let d be g(13). Let q(a) = a**2 + a + 3. Let b be q(d). Find v, given that 5*v - 10 + 2*v - 4*v**2 - 6 + b*v = 0.
2
Let g(k) = 96*k - 9 - 30*k + 6*k**2 - 44*k - 46*k. Let r(w) = 3*w**2 - 13*w - 4. Let u(z) = -4*g(z) + 9*r(z). Factor u(s).
3*s*(s - 7)
Let l(r) = -7*r**3 - 14*r**2 - 21*r + 42. Let c(o) = 10*o**3 + 21*o**2 + 31*o - 62. Suppose 0 = -170*w + 177*w + 49. Let q(d) = w*l(d) - 5*c(d). Factor q(f).
-(f - 1)*(f + 4)**2
Let l be (1/2)/((237/8)/3 - 9). Solve 24/7 - l*b**2 - 4/7*b = 0 for b.
-3, 2
Let z be ((-18)/(-27))/(2/6). Suppose -l = 19*l - 160. Factor -11*p - 10*p - 14*p**z - 2 + 8*p**2 + l*p.
-(p + 2)*(6*p + 1)
Suppose 60 - 44 = 4*z. What is d in z*d**5 - 102*d**2 + 10*d**3 - 2*d**5 + 102*d**2 + 4*d**4 - 16*d**3 = 0?
-3, 0, 1
Suppose -3*u - 12 = y, -y + 307 - 299 = -2*u. Determine p so that y - 5/3*p + 1/6*p**2 = 0.
0, 10
Suppose 26/3*g + 58/15*g**2 - 2/15*g**3 - 62/5 = 0. What is g?
-3, 1, 31
Suppose -35/4*k**2 + 17/4 - 1/2*k**3 - 4*k = 0. Calculate k.
-17, -1, 1/2
What is w in -252/5*w**2 + 0*w - 264/5*w**3 + 0 - 3/5*w**5 - 15*w**4 = 0?
-21, -2, 0
Let c(y) = 18*y**3 + 1766*y - 1764. Let q be c(1). Suppose q*i - 25/2*i**5 + 106*i**2 + 55/2*i**4 + 0 + 153*i**3 = 0. What is i?
-2, -2/5, 0, 5
Let q be 2/(-4)*(1150/69 - 18). Let r(p) be the second derivative of -1/36*p**4 - 6*p**2 + q*p**3 + 0 - p. Solve r(z) = 0 for z.
6
Let v be (-85)/15 + 7 - 8200/(-6). Let k = v - 1366. Determine c so that 0*c + 0*c**3 + 2/11*c**5 - 8/11*c**k + 6/11*c**4 + 0 = 0.
-2, 0, 1
Let o(x) be the first derivative of -x**4/28 - 11*x**3/21 - 23*x**2/14 + 5*x - 352. Factor o(k).
-(k - 1)*(k + 5)*(k + 7)/7
Let g(m) be the third derivative of