+ 7*b - b + 11*b - 5*b = 0?
-2, -1
Let c be (-66)/33 + -3 - (-67)/8. Solve -c*p**2 - 9/8*p**4 + 1/8*p**5 + 0*p + 27/8*p**3 + 0 = 0 for p.
0, 3
Let -384 - 4*p**5 + 48*p + 493*p**3 + 300*p**2 - 21*p**4 - 849*p**3 + p**5 + 416*p**3 = 0. What is p?
-8, -2, 1, 4
Let z be (150/(-22))/(47 + 29526/(-627)). Suppose z - 51*n**3 - 162*n**2 + 15/2*n - 9/2*n**5 + 39*n**4 = 0. Calculate n.
-1, 2/3, 5
Suppose -13 = 172*v - 13. Let a(o) be the second derivative of -1/24*o**3 + 0 + v*o**2 - 1/80*o**5 - o - 1/24*o**4. Factor a(s).
-s*(s + 1)**2/4
Let h = -1767693/5 - -353543. Factor -8/5*n**2 + 2/5*n**3 - 12/5 - h*n.
2*(n - 6)*(n + 1)**2/5
Suppose 2*k - 42 = 3*b, -k - 2*b + 43 - 15 = 0. Let r be 168/k + -1 + 2 + -4. Solve -2/7*o + 6/7*o**r + 2/7*o**2 + 10/7*o**3 + 0 = 0 for o.
-1, 0, 1/3
Let d(v) be the second derivative of 2*v**6/15 + 29*v**5/5 - 94*v**4/3 + 128*v**3/3 - 1200*v. Factor d(i).
4*i*(i - 2)*(i - 1)*(i + 32)
Let l = 529 - 526. Factor 19*j**l - 220*j**2 - 2*j**5 + 589*j**2 - 379*j**3 + 191*j**2 - 380*j + 80*j**4 + 6*j**5 + 96.
4*(j - 1)**4*(j + 24)
Let n(k) be the second derivative of 2*k**7/105 - k**6/3 - 11*k**5/15 - 87*k**2/2 - 9*k + 4. Let u(w) be the first derivative of n(w). Solve u(x) = 0.
-1, 0, 11
Suppose -23*c - 40 = -21*c. Let g be ((-26)/c + -1)*20/48. Factor 9/8 + 3/4*p + g*p**2.
(p + 3)**2/8
Suppose -243 + 159/2*j + 1/2*j**2 = 0. Calculate j.
-162, 3
Let m be 126 + 137740/(-1207) + (-10 - 0). Factor 12/17*n - 2/17*n**2 + m.
-2*(n - 8)*(n + 2)/17
Let k(c) = 7*c**4 + 45*c**3 + 20*c**2 - 54*c - 9. Let x(f) = 4*f**4 + 22*f**3 + 11*f**2 - 27*f - 5. Let j(i) = -5*k(i) + 9*x(i). Find t such that j(t) = 0.
-1, 0, 1, 27
Let g(n) be the third derivative of 0*n**4 - 1/20*n**5 - 3*n**2 + 0*n**3 - 1/70*n**7 + 0 + 20*n + 1/20*n**6. Factor g(k).
-3*k**2*(k - 1)**2
Suppose -4*f + 491 = 5*m, -7*m + 12*m - 15 = 0. Let -7942 - 129*v - 226*v - f*v - 3*v**2 - 10781 = 0. Calculate v.
-79
Suppose -4*k + 2*h + 1688 = -1512, -2*h + 1600 = 2*k. Let f be (-3)/(-24) - (-220)/k. Factor -128/5*p + f*p**5 - 22/5*p**4 + 0 - 32/5*p**2 + 72/5*p**3.
2*p*(p - 4)**3*(p + 1)/5
Let k = 4909 - 24543/5. Let j(r) be the second derivative of k*r**5 + 0 - 2/15*r**6 + 0*r**4 - 4/3*r**3 + 11*r + 2*r**2. Factor j(t).
-4*(t - 1)**3*(t + 1)
Determine n so that -3/4*n**3 - 333/4*n + 15*n**2 + 135 = 0.
3, 5, 12
Let v(b) = -b**2 - 1531*b - 100875. Let s be v(-69). Determine q so that 3/4*q**3 + q**2 - s - 35/4*q = 0.
-4, -1/3, 3
Let o(w) be the second derivative of w**5/5 + 13*w**4/3 - 6*w**3 - 810*w**2 - 1938*w. Factor o(j).
4*(j - 5)*(j + 9)**2
Let j(x) = 9*x**2 - 85*x - 4. Let c(l) = 7*l**2 + 3 - 11*l**2 + 3*l**2 - 2. Let h(a) = -4*c(a) - j(a). Factor h(s).
-5*s*(s - 17)
Let f be (-3615)/(-60) - 41 - (22 - 4). Find n such that -3/8*n - f*n**4 + 0 - 37/8*n**3 - 11/4*n**2 = 0.
-3, -1/2, -1/5, 0
Find z, given that z**4 + 11*z**4 - 3101*z - 11*z**4 + 1179*z + 826*z**2 + 11*z**2 + 60*z**3 = 0.
-31, 0, 2
Suppose -3513*s + 3515*s - 3*c + 15 = 0, -c + 5 = 4*s. Factor 2/3*a**2 + 2*a**3 + s + 2/3*a**5 + 0*a + 2*a**4.
2*a**2*(a + 1)**3/3
What is d in 16*d**2 + 1369/4 - 148*d = 0?
37/8
Let s be (-382)/(-1910) - (3 + 72/(-15)). What is v in -2*v**s - 25/7*v - 1/7*v**3 - 12/7 = 0?
-12, -1
Let a = -42 - -56. Let p be a/7 - (0 + -1). Find r, given that -30*r**3 - r**4 + 36*r**3 + 4*r**4 - p*r**2 - 6*r = 0.
-2, -1, 0, 1
Let t = -133 + 85. Let a = 56 + t. Find u, given that -9*u**2 + a - 8*u**2 + 11*u**2 + 0*u**3 - 2*u**3 = 0.
-2, 1
Let p(c) be the first derivative of c**3 - 20*c**2 - 190*c - 43. Let k(j) = -2*j**2 + 20*j + 94. Let o(m) = -5*k(m) - 3*p(m). Factor o(b).
(b + 10)**2
Let x(z) be the second derivative of -z**4/12 - z**3/6 + 6*z**2 - 702*z - 2. Factor x(q).
-(q - 3)*(q + 4)
Let g(k) = 18*k - 2*k**2 + 5*k**2 + k**3 - 5*k**2 - 50 - 23*k. Let f be g(5). Factor -3/5*d**3 + 0*d - 3/5*d**4 + f + 0*d**2.
-3*d**3*(d + 1)/5
Let p(w) be the second derivative of w**5/40 + 1123*w**4/72 + 105281*w**3/36 + 34969*w**2/12 - 1139*w. Find c, given that p(c) = 0.
-187, -1/3
Suppose 25*p = 6*p - 27*p - 7*p + 424. Factor 0*d + 0 + 50/3*d**3 + 2/3*d**5 + 28/3*d**4 + p*d**2.
2*d**2*(d + 1)**2*(d + 12)/3
Let v(p) = 1 - 7*p + 3*p**2 - p**2 + 1. Let y(o) = 8*o - 2 + 2 - 123*o**2 + 126*o**2 + 3 - 16*o. Let l(q) = -2*v(q) + 3*y(q). Find w, given that l(w) = 0.
1
Let n be (1/(-2))/(20514/(-4208) - (-30)/16). Factor f - 1/6*f**4 - 2/3*f**3 - n*f**2 + 0.
-f*(f - 1)*(f + 2)*(f + 3)/6
Let u be ((-18 + 27)/18)/(5/20). Factor 24*t**3 + 0*t - 8/3*t**u + 0 - 54*t**4.
-2*t**2*(9*t - 2)**2/3
Let o(j) be the second derivative of j**5/120 - 263*j**4/18 + 275621*j**3/36 + 277729*j**2/6 + 4426*j. Factor o(n).
(n - 527)**2*(n + 2)/6
Suppose -9/5 + 62/5*a + 7/5*a**2 = 0. Calculate a.
-9, 1/7
Let n(s) be the first derivative of 2*s**5/5 + 5*s**4 + 22*s**3 + 44*s**2 + 40*s - 125. Factor n(i).
2*(i + 1)*(i + 2)**2*(i + 5)
Factor 80/13*y + 2/13*y**3 + 0 + 28/13*y**2.
2*y*(y + 4)*(y + 10)/13
Let n(g) be the second derivative of 2*g**7/21 - 1466*g**6/15 + 201666*g**5/5 - 8238294*g**4 + 764018046*g**3 - 2243026242*g**2 - 8103*g. Factor n(y).
4*(y - 183)**4*(y - 1)
Suppose -4*y + 8 = 2*f, 2*y = 5*y - 2*f + 1. Let o be ((-3)/(-2) - y) + 13/(-26). Factor -1/6*w**4 + 0 + 0*w**2 + 0*w + o*w**3 + 1/6*w**5.
w**4*(w - 1)/6
Let m = 89 - 86. Factor 174 + j**m + 30 - 83 + 23*j**2 + 143*j.
(j + 1)*(j + 11)**2
Suppose -2201 = -58*v - 13*v. Let m be (v - 1)/5 - (2 - -4). Let 2/5*b**4 + 0 + m*b + 8/5*b**2 + 2*b**3 = 0. Calculate b.
-4, -1, 0
Let i(f) be the third derivative of f**5/12 + 15*f**4/8 - 280*f**3/3 + 1626*f**2. Factor i(v).
5*(v - 7)*(v + 16)
Let k be 1836/(-5967) - (-212)/182. Let -9/7*z**2 + 0 + 3/7*z**4 + 0*z**3 - k*z = 0. What is z?
-1, 0, 2
Let s(h) be the third derivative of 0*h + 0*h**3 - 1/42*h**7 - 1/12*h**5 - 2*h**2 + 42 - 1/12*h**6 + 0*h**4. Find j such that s(j) = 0.
-1, 0
Suppose 475*s - 481*s = 72. Let k be 20/16 + (-9)/s. Suppose 12/11*a - 2/11*a**k - 18/11 = 0. What is a?
3
Let o(d) = -92*d**2 + 180*d - 88. Let h(k) = 10*k**2 - 20*k + 10. Suppose 20 = 20*s + 80. Let l(g) = s*o(g) - 28*h(g). Find y, given that l(y) = 0.
1, 4
Let s(d) be the second derivative of -d**6/24 - 127*d**5/80 - 365*d**4/24 - 34*d**3/3 + 5495*d. Determine c, given that s(c) = 0.
-17, -8, -2/5, 0
Find i, given that 458/9*i**2 - 256/9*i - 134/9*i**3 - 4/3*i**4 - 56/9 = 0.
-14, -1/6, 1, 2
Suppose 31*p + 2466 - 2590 = 0. Let h(l) be the third derivative of 0 + 0*l + 0*l**3 - 9/8*l**p - 1/40*l**6 + 49*l**2 + 1/2*l**5. Suppose h(d) = 0. Calculate d.
0, 1, 9
Let u(x) be the first derivative of -2*x**3/3 - 126*x**2 + 296. Factor u(h).
-2*h*(h + 126)
Let v(o) = -97*o + 276. Let d be v(3). Let z be 45/(-6)*6/d. Determine m so that 0 - 8/7*m**5 - 26/7*m**z - 12/7*m**2 - 24/7*m**4 - 2/7*m = 0.
-1, -1/2, 0
Let g(m) = -22*m + 134. Let o be g(6). Let z(u) be the first derivative of 4/65*u**5 - 10 + 0*u**3 + 1/39*u**6 + 0*u + 0*u**o - 3/26*u**4. Solve z(a) = 0 for a.
-3, 0, 1
Let n(t) be the first derivative of -32/5*t + 3*t**2 + 2/15*t**3 - 209. Factor n(y).
2*(y - 1)*(y + 16)/5
Find s, given that -2*s**3 + 546*s**2 + 0*s**3 + 12 - 2*s - 1639*s**2 + 543*s**2 + 542*s**2 = 0.
-3, -2, 1
Let h be 54/(-21)*((-98)/(-315))/(-1). Find l, given that -2/5*l**3 - 4/5 + h*l**2 + 2/5*l = 0.
-1, 1, 2
Let k = 46 - 46. Suppose 0 = u - 3 - k. Factor 2*w**3 - 7*w**2 - 4*w**3 + u*w**2 + 50*w**4 - 44*w**4.
2*w**2*(w - 1)*(3*w + 2)
Let i be ((-6)/12)/((-1)/12). Let v(w) = w**3 - 5*w**2 - 6*w + 4. Let o be v(i). What is j in -2*j**2 + 0*j**2 - 2*j**2 - 7*j**3 + o*j + 8*j**3 = 0?
0, 2
Let a(b) be the first derivative of -b**7/630 - b**6/30 + 7*b**5/45 - 11*b**2 - 18. Let s(l) be the second derivative of a(l). Factor s(d).
-d**2*(d - 2)*(d + 14)/3
Let z be -12*(-266)/504 - (1 - (-4)/(-3)). Factor 0 - z*m**3 - 4/3*m**4 + 0*m - 16/3*m**2.
-4*m**2*(m + 1)*(m + 4)/3
Let u(z) be the second derivative of 5*z**4/48 - 3295*z**3/12 + 6585*z**2/8 - z - 2543. Find j such that u(j) = 0.
1, 1317
Solve -3331 - 3271 - 120*m**2 + 6722 + 5*m**3 - 5*m = 0 for m.
-1, 1, 24
Let a(q) be the second derivative of q**7/18900 - 11*q**6/540 + 121*q**5/36 + 271*q**4/12 - 186*q. Let t(x) be the third derivative of a(x). Factor t(h).
2*(h - 55)**2/15
Suppose 1635 + 659*s**2 - 4*s**3 + 293 + 382*s**2 - 2900*s + 88*s**2