 b(7). Find d, given that 40*d**c + d**3 + 3*d**3 + 57*d - 8*d**3 + 8*d**3 + 43*d = 0.
-5, 0
Find p such that 8/17*p**2 + 0 + 4/17*p**4 - 2/17*p**5 + 0*p + 14/17*p**3 = 0.
-1, 0, 4
Let k(c) be the second derivative of 4/9*c**4 + 0*c**3 + 13 + 3*c + 0*c**2 + 1/5*c**5 + 1/45*c**6. Let k(u) = 0. Calculate u.
-4, -2, 0
Let u(d) = -6*d + 15. Let w be u(2). Suppose 0 = -5*g + 3*g - w*g. Determine r so that 0 + 0*r**3 - 2/15*r**2 + g*r + 2/15*r**4 = 0.
-1, 0, 1
Let u(x) = -38*x + 2. Let s be u(0). Let j be (-48)/(-9) + 2/(-6). Factor 7*d**4 + 10*d**4 + 58*d**2 + 12*d - j*d**4 + s*d**4 + 60*d**3.
2*d*(d + 1)*(d + 3)*(7*d + 2)
Suppose 6 = -7*l + 69. Suppose -4*z + 27 = 5*d, l*d - 4*d - 11 = -2*z. Suppose -o - z*o + 60*o**3 - 20*o**5 + 16*o**2 + 0*o**5 + 8*o**4 - 7*o = 0. Calculate o.
-1, 0, 2/5, 2
Let v(k) = k**2 - 14*k + 12. Let l be v(5). Let q be (1 - l/(-6))/(462/(-88)). What is o in -4/7*o + q - 2/7*o**2 = 0?
-3, 1
Factor -19008*f - 1331*f**3 - 739898 - 562*f**2 + 753722 + 9274*f**2.
-(11*f - 24)**3
Let d(u) be the second derivative of u**4/66 - 61*u**3/33 + 378*u**2/11 - 187*u. Suppose d(t) = 0. Calculate t.
7, 54
Let y(z) = 1191*z + 72783. Let v be y(-60). Factor v + 42*p + 1/3*p**2.
(p + 63)**2/3
Factor -294262279*j - 576289*j**3 + 169869312 + 3450*j**4 - 44149241*j + 1896484*j**3 + 167218560*j**2 + 3*j**5.
3*(j - 1)**2*(j + 384)**3
Let w(r) be the first derivative of 3/5*r**2 - 1/50*r**5 + 11*r + 1/6*r**4 + 2 - 7/15*r**3. Let i(p) be the first derivative of w(p). Factor i(u).
-2*(u - 3)*(u - 1)**2/5
Let a(h) be the third derivative of h**5/270 + 28*h**4/27 + 3136*h**3/27 + 2786*h**2 + 1. Determine t, given that a(t) = 0.
-56
Let p(a) = 97*a**2 + 70*a + 354. Let o(j) = 114*j**2 + 70*j + 353. Let w(i) = -6*o(i) + 7*p(i). Let w(k) = 0. Calculate k.
-4, 18
Let q(o) = -17*o + 44. Let u be q(2). Let k be (u - (-4 - -17))*-1. Determine b so that 2/7*b**k + 6*b**4 - 46/7*b**2 - 2/7*b + 4/7 = 0.
-1, -1/3, 2/7, 1
Let g(r) = -r - 2. Let a(m) = 4*m**2 + 16*m + 16. Let h be a(-1). Let u(j) = j**2 + 13*j + 22. Let q(x) = h*u(x) + 44*g(x). Factor q(t).
4*t*(t + 2)
Factor 50784/5 - 69/5*o**3 - 582912/5*o - 2538*o**2.
-3*(o + 92)**2*(23*o - 2)/5
Let u(c) be the third derivative of c**7/945 + 37*c**6/270 + 104*c**5/15 + 160*c**4 + 1024*c**3 - 4671*c**2 + 2. Factor u(a).
2*(a + 2)*(a + 24)**3/9
Let x = -1082630 + 1082630. Find q, given that -1/2*q**5 + 0*q**3 + 0*q + 0 - 4*q**4 + x*q**2 = 0.
-8, 0
Let d(a) be the third derivative of 0*a**4 - 4/45*a**5 + 0*a - 2 + 9*a**2 + 0*a**3 - 1/315*a**7 + 1/30*a**6. Suppose d(v) = 0. Calculate v.
0, 2, 4
Let s(f) be the third derivative of -f**5/180 + 63*f**4/4 - 35721*f**3/2 - 3414*f**2. Factor s(d).
-(d - 567)**2/3
Let t be -13 + (-19338)/(-1485) - (-12)/60. Factor 3536/3*q - 578 - 5612/9*q**2 - t*q**4 + 208/9*q**3.
-2*(q - 51)**2*(q - 1)**2/9
Let p(f) = 4*f**2 - 176*f + 748. Let a(j) = -j - 3. Let h(l) = 4*a(l) - p(l). Factor h(t).
-4*(t - 38)*(t - 5)
Let p be (-2 + (484/(-33) - -17))*2/8*0. Factor x - 5/8*x**4 + 7/4*x**2 + p - 17/8*x**3.
-x*(x - 1)*(x + 4)*(5*x + 2)/8
Factor o**3 + 46 + 41 - 111*o**2 - 87 - 57*o**2.
o**2*(o - 168)
Let o(m) = -81*m**2 + 23163*m + 861. Let j be o(286). Factor 2*s**2 - 2/9*s + 2/9*s**j - 2.
2*(s - 1)*(s + 1)*(s + 9)/9
Suppose -8*s + 6 + 58 = 0. Let b(v) be the first derivative of -1/12*v**4 - s + 1/30*v**5 + 1/6*v**2 - 2/9*v**3 + 1/2*v. Factor b(o).
(o - 3)*(o - 1)*(o + 1)**2/6
Factor -732*c - 363/2*c**2 - 734 + 1/2*c**3.
(c - 367)*(c + 2)**2/2
Suppose 11*x = -3*x + 28. Factor 9*v**3 + 3*v**5 - 145 + 145 - 12*v + 15*v**x - 15*v**4.
3*v*(v - 4)*(v - 1)**2*(v + 1)
Let o(d) be the first derivative of -18/5*d + 57/10*d**2 + 21/5*d**3 + 197 - 3/5*d**4. Factor o(s).
-3*(s - 6)*(s + 1)*(4*s - 1)/5
Let z be (4/7)/((13 + -13 + 22)/77). Factor 0 + 0*k**z - 36*k**3 + 0*k + 51*k**4 + 9/2*k**5.
3*k**3*(k + 12)*(3*k - 2)/2
Factor 36/5 - 74/5*o - 2/5*o**3 + 8*o**2.
-2*(o - 18)*(o - 1)**2/5
Let p(v) = v**5 + 2*v**4 - v**2 - 1. Let j(o) = 6*o**5 - 8*o**4 - 12*o**3 + 26*o**2 + 24*o - 2. Let f = 120 + -119. Let w(u) = f*j(u) - 2*p(u). Factor w(x).
4*x*(x - 3)*(x - 2)*(x + 1)**2
Let w(p) be the first derivative of -44 + 0*p**2 - 3/4*p**4 + 0*p**3 + 0*p - 1/4*p**6 + 9/10*p**5. Factor w(s).
-3*s**3*(s - 2)*(s - 1)/2
Let n(r) = r - 11. Let k be n(7). Let l(c) = -2*c - 6. Let j be l(k). Factor 10*z**j + 10*z - 5*z**3 + 5*z**4 - 5*z**3 - 15*z**2.
5*z*(z - 2)*(z - 1)*(z + 1)
Let l(q) = 43*q + 291. Let j(s) = 45*s + 294. Let t(g) = -4*j(g) + 3*l(g). Let r be t(-6). Factor r*z - 3/2*z**2 - 3/2.
-3*(z - 1)**2/2
What is r in 1/6*r**2 + 213 - 641/6*r = 0?
2, 639
Let q(g) be the first derivative of -3*g**4 + 8*g - 58 - 4/5*g**5 + 6*g**2 - 4/3*g**3. Factor q(t).
-4*(t - 1)*(t + 1)**2*(t + 2)
Let a be ((-9)/48*4)/(6/(-16)). Suppose 3*p = -i + 9, -a*p + 9 = 3. Factor 2/5*z**3 - 2/5*z - 1/5*z**4 + i + 1/5*z**2.
-z*(z - 2)*(z - 1)*(z + 1)/5
Factor 0 - 1239/5*p**2 - 1236/5*p - 3/5*p**3.
-3*p*(p + 1)*(p + 412)/5
Suppose 2*y = -3*f + 253 + 61, -4*y = 3*f - 310. Factor f*h**2 - 139*h**2 + 3*h**3 - 116 + 117*h - 19.
3*(h - 5)*(h - 3)**2
Let f = 241641/4 - 60410. Suppose -3 + 2*y - f*y**2 = 0. What is y?
2, 6
Suppose 12/11*l + 26/11*l**2 + 16/11*l**3 + 2/11*l**4 + 0 = 0. What is l?
-6, -1, 0
Let j(s) be the second derivative of 2*s**6/3 - 13*s**5/5 - 14*s**4/3 + 104*s**3/3 - 48*s**2 - 1706*s. Suppose j(k) = 0. What is k?
-2, 3/5, 2
Suppose 1099*x = 1121*x. Let f(m) be the third derivative of 1/315*m**7 + 0 + 0*m**4 + 0*m - 1/90*m**5 + 0*m**6 - 11*m**2 + x*m**3. Factor f(h).
2*h**2*(h - 1)*(h + 1)/3
Let l(b) be the third derivative of -b**7/420 - 19*b**6/80 + 39*b**5/40 - 59*b**4/48 + 5*b**2 - 21. Let l(a) = 0. What is a?
-59, 0, 1
Let a(r) be the first derivative of -2*r**5/5 - 357*r**4/4 - 15661*r**3/3 + 12060*r**2 - 8100*r + 1310. Let a(z) = 0. What is z?
-90, 1/2, 1
Let v(z) = 4*z**4 + 600*z**3 - 10*z**2 - 2304*z - 3. Let m(p) = -4*p**4 - 608*p**3 + 8*p**2 + 2304*p + 4. Let k(q) = -3*m(q) - 4*v(q). Factor k(w).
-4*w*(w - 2)*(w + 2)*(w + 144)
Let i = -371871 + 1115615/3. Factor -338/3*h + 130*h**2 + 0 - 18*h**3 + i*h**4.
2*h*(h - 13)**2*(h - 1)/3
Let t(b) be the second derivative of -1/19*b**3 + 6 - 4*b - 1/190*b**5 - 5/114*b**4 + 1/285*b**6 + 0*b**2. Let t(u) = 0. Calculate u.
-1, 0, 3
Let h(k) be the first derivative of -k**6/540 - k**5/18 + 11*k**4/36 + 13*k**3/3 + 3*k**2/2 - 196. Let r(t) be the third derivative of h(t). Factor r(s).
-2*(s - 1)*(s + 11)/3
Let b(i) = 9*i**2 + 21*i. Let x(d) = 5*d**2 + 10*d. Let v(s) = 4*b(s) - 7*x(s). Let j(c) = c. Let o(f) = -15*j(f) + 3*v(f). Factor o(h).
3*h*(h + 9)
Let x(h) be the second derivative of -h**5/70 - 3*h**4/7 - 71*h**3/21 - 78*h**2/7 + 139*h - 1. Solve x(f) = 0 for f.
-13, -3, -2
Determine w so that 7110 - 700*w - 2346 - 2998 - 5*w**2 - 3146 = 0.
-138, -2
Let m(a) be the third derivative of -a**5/80 + 5*a**4/16 - 9*a**3/8 - 653*a**2 + 5*a - 2. Factor m(s).
-3*(s - 9)*(s - 1)/4
Let w be ((-18)/72)/(2/(-16)). Suppose -33*l - 2*l**w + 8 + 63*l + 4*l**2 - 22*l = 0. Calculate l.
-2
Let u(i) = -11*i - 130. Let j be u(-12). Let y be 2/j*(-6 + (-387)/(-63)). Factor 0 + y*z - 1/7*z**2.
-z*(z - 1)/7
Let g(u) = -14*u**3 - 90*u**2 - 281*u - 240. Let c(j) = -8*j**3 - 46*j**2 - 137*j - 120. Let q(i) = 5*c(i) - 3*g(i). Suppose q(n) = 0. What is n?
-15, -4, -1
Let m(u) be the third derivative of -2*u**7/105 + 139*u**6/30 - 1721*u**5/5 + 22981*u**4/6 - 35912*u**3/3 + 2034*u**2. Let m(q) = 0. What is q?
1, 4, 67
Let w be 585/(-3120) + 10345/560. Find h, given that w*h - 1/7*h**2 - 4096/7 = 0.
64
Factor -57*l - 4*l - 73*l + 1 - 1 + 2*l**2.
2*l*(l - 67)
Solve -242 - 26*x**3 + 208 + 176*x**2 - 142 + 23*x + 3*x = 0.
-1, 1, 88/13
Let m = 552 + -420. Let r = m + -394/3. Factor -20/3*d - 50/3 - r*d**2.
-2*(d + 5)**2/3
Let t be ((-343)/42 + (-6)/4)*-3. Suppose t - 1 = 4*k. Suppose 2*y**3 - 3*y + 23*y - k*y**3 = 0. What is y?
-2, 0, 2
Let l(t) = 22*t + 4. Let u be l(1). Factor 15*z**2 - 6*z**2 - 7*z**2 + u*z.
2*z*(z + 13)
Let w = 2 - -1. Suppose -7*a + 25 + w = 0. Factor -4*j**4 + 27*j**2 + 6*j**3 - 2*j**3 - a*j - 23*j**2.
-4*j*(j - 1)**2*(j + 1)
Let c = -1696 - -1698. Let l(n) be the second derivative of 0*n**5 + 1/21*n**3 - 1/147*n**7 + 0*n**c + 0 - 1/21*n**4 + 2/105*n**6 + 5*n. Solve l(p) = 0.
-1