 derivative of d(k). Solve a(p) = 0.
-2/21, 0
Factor -1/5*v**3 - 68/5*v - 48 + 24/5*v**2.
-(v - 20)*(v - 6)*(v + 2)/5
Let x(s) = 7*s**2 - 1549*s + 1984. Let b be x(220). Determine z so that 1429/4*z**2 + 63/4 + 54*z**b - 921/4*z**3 - 555/4*z - 4*z**5 = 0.
1/4, 3, 7
Let r(m) be the third derivative of -1/30*m**6 - 16*m**3 - 49/6*m**4 + 0*m - 137*m**2 + 0 - 26/15*m**5. Solve r(t) = 0.
-24, -1
Let x be (14/(-105) - (-796)/120) + 2/(-4). Let h(n) be the first derivative of 0*n + 1 + 4/5*n**5 + 0*n**3 + 2*n**4 + 0*n**2 - 2/3*n**x. Factor h(c).
-4*c**3*(c - 2)*(c + 1)
Let v be ((-2)/20)/(42/(-672)). Let r be 0 - 4*6/(-60). Suppose v*m + r*m**2 + 8/5 = 0. What is m?
-2
Let g = -397 - -531. Suppose 58 = 64*a - g. Factor -66/7*y + 36/7 - 72/7*y**2 + 30/7*y**a.
6*(y - 3)*(y + 1)*(5*y - 2)/7
Let a(r) = -r**3 - 2*r**2 - 3731*r + 2. Let c be a(0). Suppose 0 - 185/2*o**c - 15/2*o**4 + 115/2*o**3 - 75/2*o = 0. Calculate o.
-1/3, 0, 3, 5
Suppose -5*r - 2*x + 2 = -7, 9 = r + 4*x. Let n(s) = -3*s**4 - 30*s**3 - 108*s**2 - 180*s - 96. Let j(f) = -3*f. Let a(v) = r*n(v) - 4*j(v). Factor a(o).
-3*(o + 2)**3*(o + 4)
Let f be 7 + 268/44 + 0. Let k = f + -377/33. Factor -1/3*s**2 + k - 4/3*s.
-(s - 1)*(s + 5)/3
Let b(r) be the first derivative of -8*r**5/5 + 157*r**4/2 + 446*r**3 - 1037*r**2 + 430*r + 6793. Suppose b(v) = 0. What is v?
-5, 1/4, 1, 43
Solve -2/9*s**2 + 16/3*s - 46/9 = 0 for s.
1, 23
Let s = 124 + -21. Let r = s + -103. Factor 3/7*u**3 + 0*u**2 - 12/7*u + r.
3*u*(u - 2)*(u + 2)/7
Let a be (6 - -1) + (-16 - 1649) + 3. Let w = a - -8281/5. Let 1/5*x**3 + 7/5*x**2 + w*x + 0 = 0. Calculate x.
-6, -1, 0
Let y(u) be the third derivative of u**7/420 - 2*u**6/15 + 29*u**5/40 + u**4/12 - 29*u**3/3 - 4454*u**2. What is v in y(v) = 0?
-1, 2, 29
Let i(x) be the first derivative of x**6/36 + 2*x**5/5 + 17*x**4/12 - 4*x**3/3 - 107*x**2/12 + 14*x + 2547. Let i(h) = 0. What is h?
-7, -4, -3, 1
Let n(t) be the third derivative of 0*t - 13*t**2 + 73/120*t**6 + 43/60*t**5 + 1/6*t**3 + 1/21*t**8 + 0 + 4/15*t**7 + 11/24*t**4. Factor n(o).
(o + 1)**3*(4*o + 1)**2
Let w be 2/(-4) + (-23)/(-14). Let m be (-6)/(-7) + ((-12192)/(-42))/16. Solve m*g**3 - 75/7*g**2 + 4/7 - w*g + 28*g**4 = 0.
-1, -1/4, 2/7
Let l(d) be the second derivative of -d**4/36 - 395*d**3/18 - 197*d**2/3 - 4*d - 97. Factor l(k).
-(k + 1)*(k + 394)/3
Let f be (-5 - 98)*(-7)/11 - -7. Factor 882/11 + 2/11*a**3 + f*a - 82/11*a**2.
2*(a - 21)**2*(a + 1)/11
Let t be ((-1000)/15250)/((-2)/61). Suppose -42 + 21/2*i**3 - 162*i - 99/2*i**t = 0. What is i?
-2, -2/7, 7
Determine q, given that 500*q**2 - 12341*q + 9137 + 14873 + 4229*q - 4873*q - 5*q**3 = 0.
2, 49
Let x(v) be the third derivative of -v**6/360 + v**5/30 + 5*v**4/9 + 3915*v**2. Solve x(c) = 0 for c.
-4, 0, 10
Let a(b) be the second derivative of 1/110*b**5 + 5/22*b**4 + 21/11*b**3 - 9 + 2*b + 49/11*b**2. Factor a(n).
2*(n + 1)*(n + 7)**2/11
Let a(h) be the first derivative of 2*h**5 - 17*h**4 + 86*h**3/3 + 10*h**2 + 1060. Factor a(y).
2*y*(y - 5)*(y - 2)*(5*y + 1)
Let p(f) = 40*f**4 - 86*f**3 + 110*f**2 + 72*f - 80. Let i(j) = -14*j**4 + 29*j**3 - 37*j**2 - 24*j + 26. Let g(u) = -14*i(u) - 5*p(u). Factor g(w).
-4*(w - 3)**2*(w - 1)*(w + 1)
Let l(a) be the first derivative of -a**4/28 - 43*a**3/21 - 467*a**2/14 - 425*a/7 + 11311. Factor l(c).
-(c + 1)*(c + 17)*(c + 25)/7
Suppose 0 = 109*o + 14259 - 14259. Suppose -2/3*s**2 - 2/3*s + o = 0. What is s?
-1, 0
Let b be (-5)/15*15/(-10)*0/(-3). Let h(c) be the third derivative of 0*c**3 + 1/60*c**6 + 0 - 1/60*c**5 + b*c**4 - 1/210*c**7 + 0*c + 13*c**2. Factor h(v).
-v**2*(v - 1)**2
Let q be (-4 - -1)*(160/12)/5. Let k be 0/((-18)/(48/q)). Solve 0 + 2/15*m**2 + 2/15*m**3 + k*m = 0 for m.
-1, 0
Let u be 1128/20 - (-4)/20*-2. Suppose -u = -47*m + 38. Factor r - 1/2*r**3 + 0 - 1/2*r**m.
-r*(r - 1)*(r + 2)/2
Suppose -95 = -24*r - 47. Let h = 109/48 + -15/16. What is m in 0 + 0*m**r + m**3 - h*m - 1/3*m**4 = 0?
-1, 0, 2
Suppose 0 = -54*d + 40*d. Let c(j) be the third derivative of -9*j**2 + 0*j**4 + 0 + 1/420*j**7 + 0*j + 0*j**6 + d*j**5 + 0*j**3. Factor c(m).
m**4/2
Suppose 4*z - 413 = -5*q, q = z - 15 - 86. Suppose 0*g + 3*g = z. Factor 8*h + g - 18 - 3*h**2 - 20.
-(h - 2)*(3*h - 2)
Let y(o) be the first derivative of o**5/240 - o**4/16 + 5*o**3/24 + 10*o**2 - o + 85. Let u(f) be the second derivative of y(f). Factor u(s).
(s - 5)*(s - 1)/4
Let l(s) = -9*s**2 + 110*s - 2605. Let q(x) = 2*x - 36 + 2*x**2 - 41 + 114 - 4*x - 36. Let y(r) = 3*l(r) + 12*q(r). Find u, given that y(u) = 0.
51
Let q(k) = -418*k**2 - 1188*k - 977. Let p(o) = 825*o**2 + 2376*o + 1953. Let j(r) = -5*p(r) - 9*q(r). Factor j(u).
-3*(11*u + 18)**2
Let p(o) be the second derivative of -2*o**6/15 + 21*o**5/5 + 23*o**4 + 142*o**3/3 + 48*o**2 + 1264*o. Factor p(m).
-4*(m - 24)*(m + 1)**3
Let z(v) be the first derivative of v**3/4 - 117*v**2/8 + 81*v - 1919. Solve z(d) = 0.
3, 36
Let n(h) be the third derivative of 1/54*h**4 - 1/30*h**5 + 114*h**2 + 0*h + 0 + 0*h**3 - 1/108*h**6. Let n(g) = 0. What is g?
-2, 0, 1/5
Let t(s) = -s**3 - 13*s**2 - 50*s - 300. Let b be t(-11). Factor 4/3*v**3 + 0*v + 0 - b*v**2.
4*v**2*(v - 6)/3
Let k be ((-1)/2)/(1/(-4)). Let v = 1644169/20 + -328817/4. Determine b so that -3*b**k - 3/5*b**3 - 9/5 - v*b = 0.
-3, -1
Factor -2/11*y**2 + 64/11*y + 6.
-2*(y - 33)*(y + 1)/11
Let d be -153*((-13)/(-3))/(-13). Find a, given that -67*a - 20 + d*a + 62*a**3 - 70*a**3 + 44*a**2 = 0.
-1/2, 1, 5
Let w be (-14)/(-63) + 96/54. Suppose 22 + w = 6*x. What is k in -16*k**2 + 1/2*k**5 + 12*k**3 - x*k**4 + 8*k + 0 = 0?
0, 2
Let z = -253 - -527. Factor -4*o**5 - 265*o**4 + 2*o**3 - 11*o**3 + o**5 + 3*o**2 + z*o**4.
-3*o**2*(o - 1)**3
Determine w so that 3771*w**3 - 1481*w - 45*w**2 - 7531*w**3 - 358*w + 1881 + 3763*w**3 = 0.
-19, 1, 33
Let l(o) = o**3 - 24*o**2 - 47*o + 114. Let z be l(24). Let x = z + 2109/2. Let 9*a - x - 1/2*a**2 = 0. What is a?
9
Factor 418*p**2 - 86*p**3 + 90*p**3 - 664*p + 448 - 206*p**2.
4*(p - 2)*(p - 1)*(p + 56)
Solve -4*a**4 + 164/3*a - 16 - 12*a**2 - 68/3*a**3 = 0 for a.
-4, -3, 1/3, 1
Let w(n) be the first derivative of -2*n**3/3 + 47*n**2 + 196*n - 1416. Factor w(r).
-2*(r - 49)*(r + 2)
Factor -693 - 4*a - 74*a + 232*a**2 - 229*a**2.
3*(a - 33)*(a + 7)
Let x(i) be the first derivative of i**3/3 + 678*i**2 + 459684*i + 2549. Factor x(g).
(g + 678)**2
Suppose 4*p - 45 = -r, -3*r + 135 = -p - 0*p. Factor 50*z**4 + 14*z**3 + 30*z**2 + 17*z**3 - 20*z - 40 - 6*z**3 - r*z**4.
5*(z - 1)*(z + 2)**3
Let p(c) = 50*c**3 + 20*c**2 + 160*c + 115. Let j(f) = 3*f**3 - 2*f**2 + f + 1. Let k(q) = 15*j(q) - p(q). Solve k(h) = 0 for h.
-5, -4, -1
Let o(l) be the third derivative of 23*l**7/735 + l**6/210 + 12*l**2 + 15*l. Factor o(x).
2*x**3*(23*x + 2)/7
Suppose -10607 = -5*b + 2*o + 28359, 0 = -5*o + 10. Let m = b - 15165/2. Factor 330*z + m*z**2 + 3/2*z**4 + 150 + 33*z**3.
3*(z + 1)**2*(z + 10)**2/2
Factor -27/2*r**3 + 3/2*r**4 + 75/2*r**2 - 81/2*r + 15.
3*(r - 5)*(r - 2)*(r - 1)**2/2
Let s = 1196822/273 + -92060/21. Factor 10/13*j**2 - 2/13*j + s*j**3 - 10/13.
2*(j - 1)*(j + 1)*(j + 5)/13
Let d(a) be the third derivative of a**7/210 + 3*a**6/40 + 2*a**5/5 + 2*a**4/3 + 3203*a**2. Factor d(z).
z*(z + 1)*(z + 4)**2
Let h(a) be the first derivative of 9/8*a + 5/8*a**2 + 1/24*a**3 - 10. Solve h(o) = 0.
-9, -1
Suppose -720*g = -724*g - 2012. Let v = g - -505. Determine f so that -2/7*f**4 + 0 - 6/7*f - 2/7*f**3 + 10/7*f**v = 0.
-3, 0, 1
Let p(v) = -28*v - 229. Let q be p(-28). Let i = q - 555. What is l in -1/3*l**3 + 0*l**4 + 0*l + i + 1/3*l**5 + 0*l**2 = 0?
-1, 0, 1
Suppose 3*u - 5*j = -0*u + 30, 0 = 3*j. Let -4*c**3 - 8*c**3 + u*c + c**2 + 8 - 14*c**3 + 25*c**3 = 0. Calculate c.
-2, -1, 4
Let f(y) = -14*y**2 + 32*y + 173. Let p be f(-8). Let c = p + 981. Suppose -14/5*u - 8/5 + 4/5*u**c = 0. What is u?
-1/2, 4
Let c(p) = -p**2 - p - 1. Let s(k) be the second derivative of 5*k**4/6 - 13*k**3/3 + 35*k**2 + 2*k + 11. Let o(w) = 6*c(w) + s(w). Find b such that o(b) = 0.
4
Let h = -188741/187 - -17183/17. Factor -382/11*r + h*r**4 - 488/11*r**3 - 64/11 - 756/11*r**2.
2*(r - 32)*(2*r + 1)**3/11
Let m(p) be the first derivative of -304 - 120*p - 9*p**2 + 22*p**3 - 44*p**3 + 23*p**3. Determine c, given that m(c) = 0.
-4, 10
Factor 91