3*p/2 + 6337. Solve x(v) = 0 for v.
3, 354
Let w(j) be the third derivative of -j**7/1260 - 2*j**6/45 + 55*j**5/36 - 203*j**4/18 - 245*j**3/4 + 271*j**2 - 6. Suppose w(l) = 0. Calculate l.
-45, -1, 7
Factor -1/9*d**5 + 2/9*d**4 + 5/9*d + 0 + 4/3*d**3 + 14/9*d**2.
-d*(d - 5)*(d + 1)**3/9
Let x(b) = -b**3 - 90*b**2 + 1694*b - 209. Let y be x(-106). Suppose 4/7*c**y + 32/7 - 8/7*c**2 - 16/7*c = 0. What is c?
-2, 2
Let n be (-4)/(-22) - 11382/(-3465) - 20*36/1080. Suppose n*a - 14/5*a**2 - 22/5*a**3 + 8/5*a**5 + 4/5 + 2*a**4 = 0. What is a?
-2, -1, -1/4, 1
Let n(w) be the first derivative of -5*w**3/3 - 1610*w**2 - 518420*w - 1198. Factor n(a).
-5*(a + 322)**2
Let c be (-9)/(-2) - (-2)/(-4). Let z be (1 + -53)/(-1)*(-1)/(-2). Factor 5*d**3 - 10 + 0*d**3 + 60*d - z - c - 30*d**2.
5*(d - 2)**3
Let y(q) be the first derivative of -45*q**4/4 - 1100*q**3/3 + 45*q**2/2 + 1100*q + 14297. Find x, given that y(x) = 0.
-220/9, -1, 1
Let o be ((-1)/18)/(2379/(-85644)). Factor -2*g - 49/2*g**5 - 10*g**o + 3/2*g**3 + 35*g**4 + 0.
-g*(g - 1)**2*(7*g + 2)**2/2
Let q = 2750 - 30226/11. Let y = 5963185/11 + -542107. Factor -q*v + 14/11*v**2 - y.
2*(v - 2)*(7*v + 2)/11
Let d(f) = -16*f + 1530. Let i(s) = s**2 - 3. Let t(j) = d(j) - 2*i(j). Let t(n) = 0. What is n?
-32, 24
Let f(m) be the second derivative of -m**4/42 + 25*m**3/21 - 150*m**2/7 - 48*m + 11. Determine r, given that f(r) = 0.
10, 15
Let s(l) be the first derivative of -4/3*l**2 + 56/9*l**3 - 49/6*l**4 - 110 + 0*l. Find k, given that s(k) = 0.
0, 2/7
Let g(l) = -12*l**3 - 150*l**2 - 171*l + 342. Let p(y) = 3*y**3 + 37*y**2 + 43*y - 85. Let r(z) = -2*g(z) - 9*p(z). Solve r(u) = 0 for u.
-9, -3, 1
Suppose 2*m = -5*s + 57, 3*s = -3*m + 44 - 8. Let b be (18/(-16))/((s - 22)/44). Determine d, given that 3/2*d**2 - 6*d + b = 0.
1, 3
Let -278*a**2 + 4340*a**3 + 18*a - 6014*a**3 - 13*a**2 = 0. What is a?
-2/9, 0, 3/62
Let u(k) be the second derivative of 27*k**2 + 13/72*k**4 + 7/60*k**5 + 1/180*k**6 - 7*k**3 + 7 + 17*k. Find d such that u(d) = 0.
-9, 2
Factor 1/3*l**4 + 6128500/3*l + 3062500/3 + 3502/3*l**3 + 1023167*l**2.
(l + 1)**2*(l + 1750)**2/3
Let z be ((-8)/(-7))/((-36)/(-126)). Let q be (0 - 4)*(-42)/56. Determine k, given that -12*k**4 + q - z - 8*k + 20*k**2 + 16*k**3 + 1 = 0.
-1, 0, 1/3, 2
Let x = -4 + 195. Determine s so that 16*s**2 + x*s - 40 - 161*s - s**2 - 5*s**3 = 0.
-2, 1, 4
Find x such that 66*x**2 + 1/2*x**3 - 133/2*x + 0 = 0.
-133, 0, 1
Determine d so that 0 + 0*d + 15/2*d**3 + 9/8*d**5 + 33/4*d**4 - 9*d**2 = 0.
-6, -2, 0, 2/3
Let j = 315 + -313. Factor -394*q**j + 399*q**2 - 11 + 8 + 3.
5*q**2
Let q(k) = 7*k**2 + 14*k + 7. Let n(y) be the third derivative of -7*y**5/30 - 5*y**4/4 - 8*y**3/3 - y**2. Let o(x) = -4*n(x) - 9*q(x). Factor o(w).
-(w + 1)*(7*w - 1)
Let a(g) be the first derivative of 6*g**6 - 372*g**5/5 - 896*g**4 + 1744*g**3 - 896*g**2 - 1079. Let a(k) = 0. Calculate k.
-7, 0, 2/3, 16
Solve -2/11*q**2 + 1046/11*q + 1048/11 = 0 for q.
-1, 524
Let u(b) be the third derivative of -b**5/15 - 203*b**4/3 + 814*b**3/3 - 27*b**2 + 3*b. Factor u(o).
-4*(o - 1)*(o + 407)
Let y = 843200/1264809 + 2/421603. Find s such that -y + 1/6*s**3 - s**2 + 3/2*s = 0.
1, 4
Let s(k) = -2*k - 5. Let t be s(-10). Let y be t/18 + (5 - (-230)/(-60)). Determine o so that 2/3 - 50/3*o**3 + 70/3*o**y - 22/3*o = 0.
1/5, 1
Let -418*s**4 + 0*s**3 - 459*s**4 + 3*s**3 - s**2 + 881*s**4 = 0. What is s?
-1, 0, 1/4
Let f be (4823/56)/(-13) + -7. Let t = 997/72 + f. Find q such that t*q**3 + 8/9*q**2 + 0*q + 0 = 0.
-4, 0
Let s(x) be the third derivative of -x**5/20 + 5*x**4 - 279*x**3/2 + x**2 + 912. Factor s(j).
-3*(j - 31)*(j - 9)
Let j be ((-87)/(-6))/(-1*(-1)/2). Suppose l = 3*l + 5*n - j, 2*l - n = 11. Suppose -l + 3*x**4 + 72*x + 24*x**3 - 9*x**2 + 15 + 19 + 75*x**2 = 0. What is x?
-3, -1
Factor 27/2*t**3 - 55/4*t**2 + 0 + 0*t + 1/4*t**4.
t**2*(t - 1)*(t + 55)/4
Let y be ((-8)/(-100) - (26 - (-35765)/(-1375)))*(0 + 2). Suppose -800/11 - y*m**2 - 80/11*m = 0. Calculate m.
-20
Suppose -8*m + 1893 = 1821. Let v(o) be the first derivative of 0*o**2 - 4*o**3 - m + 6/5*o**5 + 0*o + 7/2*o**4. Solve v(n) = 0.
-3, 0, 2/3
Let g = -13199/5 - -184791/70. Let j(w) be the second derivative of -1/10*w**6 - 9/20*w**5 + 5/4*w**4 + 33*w + 0*w**2 + 0 + g*w**7 - w**3. Factor j(i).
3*i*(i - 1)**3*(i + 2)
Let y(l) = -306*l - 11764. Let f be y(-39). Determine a so that -578/3*a - 2/3*a**4 - f*a**2 + 0 + 22*a**3 = 0.
-1, 0, 17
Let m = 8181/980 - 24/245. Let s be (-2)/4 - 14/(-4). Factor m*l**s + 0*l + 3/2*l**2 + 0.
3*l**2*(11*l + 2)/4
Let y(g) = -3*g + 201. Let u be y(67). Let n(s) be the third derivative of u*s**3 + 1/84*s**4 + 0 - 17*s**2 - 1/210*s**5 + 0*s. Let n(p) = 0. Calculate p.
0, 1
Suppose 3*j = -2*s + 3 - 5, 0 = 5*j + 10. Factor -75/8*d + 21/4*d**s - 3/8*d**3 + 9/2.
-3*(d - 12)*(d - 1)**2/8
Let j(a) be the first derivative of -11*a**4/3 - 25*a**3/3 - 3*a**2 + 306*a + 297. Let m(u) be the first derivative of j(u). Factor m(k).
-2*(k + 1)*(22*k + 3)
Suppose 107*f**3 - 30*f**3 + 10*f**2 - 60*f**3 + 60*f**4 - 62*f**3 - 25*f**5 = 0. What is f?
0, 2/5, 1
Let k(v) be the third derivative of v**6/270 - v**5/27 + v**4/27 + 16*v**3/27 - 304*v**2. Find b such that k(b) = 0.
-1, 2, 4
Let y = 16 - 13. Let u(g) = -g**3 + 5*g**2 - 4*g + 4. Let h be u(y). Factor -6*m**2 - 10 + h*m**2 + 12 - m**3 - 5*m.
-(m - 2)*(m - 1)**2
Let s(k) be the second derivative of 9/28*k**4 + 2*k - 3/14*k**2 + 62 + 4/7*k**3. Factor s(y).
3*(y + 1)*(9*y - 1)/7
Let f(i) be the third derivative of -225*i**8/112 - 158*i**7/7 - 2381*i**6/40 + 823*i**5/10 + 521*i**4/2 + 228*i**3 - 59*i**2 - 16. Solve f(l) = 0.
-38/9, -3, -2/5, 1
Let f(o) be the first derivative of -o**4/12 + 44*o**3/9 + 208*o**2/3 - 4568. Suppose f(w) = 0. What is w?
-8, 0, 52
Factor -2/11*k**2 - 10/11 + 12/11*k.
-2*(k - 5)*(k - 1)/11
Determine z so that 37760*z**2 - 952/3*z**3 + 3808/3*z - 453152/3 + 2/3*z**4 = 0.
-2, 2, 238
Let q(h) be the third derivative of h**8/168 - h**7/35 + h**6/30 + 1222*h**2 + 2. Determine b, given that q(b) = 0.
0, 1, 2
Let s(l) be the third derivative of 2*l**7/105 - 13*l**6/30 + 23*l**5/15 - 11*l**4/6 + 864*l**2. Let s(u) = 0. What is u?
0, 1, 11
Let k(l) be the second derivative of l**6/70 + 3*l**5/14 - 27*l**4/28 - 18*l**3/7 - 766*l. Factor k(m).
3*m*(m - 3)*(m + 1)*(m + 12)/7
Let x(d) = -5354*d + 48188. Let y be x(9). What is g in 4/3*g**3 - 8/3*g**y - 4/3*g + 8/3 = 0?
-1, 1, 2
Let p = 499003/4 - 124747. Factor -p*q**2 + 0 - 1/4*q**3 + 17/2*q.
-q*(q - 2)*(q + 17)/4
Let f be 5/(-1) + (0 - -21). Suppose y = -14 + f. Factor -4*i**3 - 44*i**2 + 65*i**2 - 33*i**y.
-4*i**2*(i + 3)
Factor 2/11*v**2 + 1440/11 + 164/11*v.
2*(v + 10)*(v + 72)/11
Let d(o) be the third derivative of -o**6/240 - 13*o**5/120 + 67*o**4/24 - 10*o**3 + 1618*o**2. Factor d(m).
-(m - 6)*(m - 1)*(m + 20)/2
Let p(h) be the third derivative of 0*h - 1/180*h**6 + 0*h**4 + 5*h**2 + 0 + 1/6*h**3 - 1/15*h**5. Let j(r) be the first derivative of p(r). Factor j(m).
-2*m*(m + 4)
Find p such that -35*p**3 + 1566*p**2 - 37664178 + 36*p**3 + 297569*p + 519883*p + 120766467 + 59134359 = 0.
-522
Suppose -6*p + 32 - 8 = 0. Factor -15*m**4 + 2*m**3 + 12*m**2 + 0*m**3 - 8*m - 16 + 13*m**p.
-2*(m - 2)**2*(m + 1)*(m + 2)
Let -16*m**3 + 6*m**3 + 0*m - 8*m**2 - 20*m**3 - 78*m**2 + 12*m = 0. Calculate m.
-3, 0, 2/15
Let h(n) be the third derivative of n**7/360 - n**6/120 - 39*n**4/8 - 5*n**2 - 21. Let f(c) be the second derivative of h(c). Solve f(b) = 0.
0, 6/7
Let p = -5/50804 - -254035/152412. Find l such that 65/3*l**3 - 80*l + 60 + p*l**2 - 5/3*l**4 - 5/3*l**5 = 0.
-3, 1, 2
Find q, given that 8/7*q**5 + 744/7*q**3 + 1292/7*q**2 - 726/7 - 166/7*q**4 - 352/7*q = 0.
-1, 3/4, 11
Let g be (4179/14)/(1 - 3/12). Factor -3*p**3 + p**3 + 8*p**2 - 392 + 5*p**3 - 2*p**3 + g + 13*p.
(p + 1)**2*(p + 6)
Let g be 10/(-4) + ((-190)/12)/(-5). Let z(w) = -4*w**2 - 130*w + 70. Let k be z(-33). Find h, given that -14/3 + k*h + g*h**2 = 0.
-7, 1
Let p = -4213907/9 - -468215. Solve 56/3*r**2 + p*r**4 + 0 - 8*r - 2/9*r**5 - 122/9*r**3 = 0.
0, 1, 6
Factor 14*q**3 - 2198 + 49*q**2 + 2*q**5 - 18*q**4 + 56*q + 1098 + 41*q**2 + 1100.
2*q*(q - 7)*(q - 4)*(q + 1)**2
Let a(m) be the second derivative of 20/9*m**2 - 14 + 1/27*m**4 + 3*m - 14/27*m**