 6*n**2 - 3685 + 1433 - 10*n**2 - a*n = 0.
-41
Find a, given that 99/2 + 15/4*a**3 + 1191/4*a + 252*a**2 = 0.
-66, -1, -1/5
Let f(u) be the first derivative of 0*u + 7/2*u**2 - 1/3*u**3 - 298. Factor f(s).
-s*(s - 7)
Find c such that 0 - 594*c + 21/2*c**2 = 0.
0, 396/7
Factor -22 + w**3 - 37*w - 33 + 7*w**2 + 81 + 3*w**2.
(w - 2)*(w - 1)*(w + 13)
Let f(g) be the third derivative of g**7/735 - 29*g**6/420 - 2*g**5/105 + 29*g**4/21 - 4512*g**2. Determine i, given that f(i) = 0.
-2, 0, 2, 29
Suppose -310*d - 399*d - 1400 = -14162. Solve 10/7*n + 4/7 - 48/7*n**2 - d*n**3 = 0 for n.
-1/3, 2/7
Factor 37*x + 20*x**2 + 18*x**2 - 39*x**2 - 279 + 59*x.
-(x - 93)*(x - 3)
Suppose 96 = 13*g + 70. Let j be (g + -3)/((-7)/2). Find k such that j - 1/7*k - 1/7*k**2 = 0.
-2, 1
Let h(x) be the first derivative of -179*x**4/4 - 1073*x**3/9 - 535*x**2/6 + x/3 + 3418. What is m in h(m) = 0?
-1, 1/537
Let a(w) be the second derivative of 3*w**4/4 - 65*w**3/3 + 337*w**2/2 - 246*w. Let v(f) = -26*f**2 + 390*f - 1013. Let o(k) = -11*a(k) - 4*v(k). Factor o(z).
5*(z - 23)*(z - 3)
Let w(m) be the second derivative of -m**5/60 + 7*m**4/6 - 12*m**3 - 3952*m. Determine v, given that w(v) = 0.
0, 6, 36
Let p(j) be the first derivative of -j**4/2 + 148*j**3/3 + 309*j**2 + 468*j + 382. Solve p(l) = 0.
-3, -1, 78
Let l be -4 + (((-120)/(-81))/(-5))/((-4)/66). Factor 2/3*a + l - 2/9*a**2.
-2*(a - 4)*(a + 1)/9
Let z(v) be the second derivative of v**6/90 - v**5/10 - 2*v**4/3 + v**3/2 - 7*v**2/2 - 83*v. Let w(o) be the second derivative of z(o). Factor w(k).
4*(k - 4)*(k + 1)
Let w(a) = a**2 - a. Let h(d) = d**3 - 8*d**2 - 17*d - 30. Let s(u) = -h(u) + 5*w(u). Let x be s(14). What is k in 1/5*k**3 + 1/5*k**x - 1/5 - 1/5*k = 0?
-1, 1
Factor -26*x**2 + 96/5 + 4/5*x**4 + 7/5*x**3 - 352/5*x.
(x - 6)*(x + 4)**2*(4*x - 1)/5
Let a(h) = 14*h**2 - 2092*h + 540806. Let m(q) = 2*q**2 - 2*q + 1. Let z(c) = -a(c) + 6*m(c). Find r such that z(r) = 0.
520
Let i(c) be the third derivative of c**5/75 - 128*c**4/3 + 163840*c**3/3 - 2*c**2 - 3*c + 210. Solve i(w) = 0.
640
Let c(a) be the first derivative of 1/21*a**3 + 14*a**2 + 1/12*a**4 - 33 + 1/35*a**5 + 0*a. Let d(t) be the second derivative of c(t). Factor d(w).
2*(w + 1)*(6*w + 1)/7
Let g(i) be the second derivative of 3*i + 1/30*i**4 + 80*i**2 - 8/3*i**3 + 17. Factor g(t).
2*(t - 20)**2/5
Suppose 67*b + 113*b + 598 - 598 = 6*b. Determine h so that 3/4*h**4 + 9/4*h**2 + b - 15/4*h**3 + 27/4*h = 0.
-1, 0, 3
Factor -7*i + 1/4*i**3 - 15 + 3/4*i**2.
(i - 5)*(i + 2)*(i + 6)/4
Let i(x) be the third derivative of -x**8/6720 - x**7/30 - 49*x**6/15 - 61*x**5/60 - 68*x**2. Let q(d) be the third derivative of i(d). Factor q(a).
-3*(a + 28)**2
Let o(j) = 95*j**2 - 1213*j - 1224. Let y(i) = -16*i**2 - i + 1. Let h(q) = o(q) + 6*y(q). What is g in h(g) = 0?
-1218, -1
Let f(n) be the first derivative of n**6/960 + n**5/240 - n**4/48 - 23*n**3 - n + 5. Let u(r) be the third derivative of f(r). What is s in u(s) = 0?
-2, 2/3
Factor 1513/2*y**3 + 0 + 172*y**2 + 289/2*y**4 + 10*y.
y*(y + 5)*(17*y + 2)**2/2
Let 1008 + 30*m + 73*m + 4581*m**2 - 4577*m**2 + 45*m = 0. Calculate m.
-28, -9
Let o(w) be the second derivative of -w**5/70 + 29*w**4/42 + 260*w**3/21 - 288*w**2/7 + 4*w - 1514. Solve o(x) = 0.
-8, 1, 36
Let q(n) = 14*n**2 + n. Let s(g) = 275*g**2 - 6655*g + 13370. Let y(r) = -20*q(r) + s(r). Factor y(v).
-5*(v - 2)*(v + 1337)
Let k(f) be the first derivative of -4/9*f + 0*f**4 + 0*f**2 + 8/27*f**3 - 54 - 4/45*f**5. Factor k(q).
-4*(q - 1)**2*(q + 1)**2/9
Let q(k) = 36*k**2 + 56*k + 4. Let c be q(-2). Let j(g) = g**2 - 33*g - 106. Let b be j(c). Factor -2/13*v**b + 20/13*v - 50/13.
-2*(v - 5)**2/13
Let b(i) be the first derivative of 0*i + 3/5*i**5 + 0*i**2 - 15/4*i**4 + 1/2*i**6 + 3*i**3 - 32. Factor b(r).
3*r**2*(r - 1)**2*(r + 3)
Find b such that -124*b + 728/3 - 724/3*b**2 - 4/3*b**4 + 124*b**3 = 0.
-1, 1, 2, 91
Let o be ((-13)/156*4)/(-7 - (-310)/45). Factor -1/6*h**2 - 7/6*h + o.
-(h - 2)*(h + 9)/6
Let j(w) be the third derivative of 1/420*w**7 + 31 + 0*w**4 - 11/1344*w**8 + 11/120*w**6 + 3*w**2 - 1/30*w**5 + 0*w + 0*w**3. Solve j(v) = 0 for v.
-2, 0, 2/11, 2
Suppose -6*h = -h - 15. Suppose 3*u = -2*n + 4, h + 3 = 3*n - u. Factor 54*t**2 - 85*t**4 - 25*t**5 - 9*t**n + 10*t**5 - 105*t**3.
-5*t**2*(t + 3)**2*(3*t - 1)
Let n be (128/(-10))/(-648 - -644). Factor -4/5*l**2 - 16/5 - n*l.
-4*(l + 2)**2/5
Let y(n) be the second derivative of -n**5/5 + 5*n**4 + 5*n - 1204. Factor y(s).
-4*s**2*(s - 15)
Let r(m) be the second derivative of -m**7/14 + 31*m**6/10 - 171*m**5/10 + 83*m**4/2 - 109*m**3/2 + 81*m**2/2 + 4696*m. Suppose r(c) = 0. What is c?
1, 27
Suppose b - 1 = a, -2*a + 3*b = 5*b - 18. Let 1220*f**3 - 8230*f - 5270*f**3 - 9266*f + 14580*f**2 - 190*f**4 + 565*f**a = 0. What is f?
0, 18/5
Let u(t) be the first derivative of -2*t**3/3 + 60*t**2 - 1821*t - 38. Let x(s) = s**2 - 60*s + 909. Let z(j) = 3*u(j) + 7*x(j). Factor z(d).
(d - 30)**2
Suppose 61 = -3*q + 15*a - 50, -165*a + 168*a = 2*q + 18. Let r be (-6)/(-28)*(-8)/(-6). Solve 0 - 2/7*i + r*i**q + 0*i**2 = 0 for i.
-1, 0, 1
Let a = 523/65 + 71/39. Let p(x) be the first derivative of -2 - 27/10*x**4 + 32/15*x + 16*x**3 - a*x**2. Determine j, given that p(j) = 0.
2/9, 4
Let f(d) = 4*d**3 - d**2 - 4*d - 2. Let n(k) = -9*k**3 + 3*k**2 + 9*k + 4. Let j = -667 + 653. Let o(t) = j*f(t) - 6*n(t). Determine p, given that o(p) = 0.
-2, -1, 1
Let h be (-3)/(6/(-7) + (-1566)/(-3248)) - 6. Factor -3/7*x**3 - 36/7*x + 18/7*x**h + 24/7.
-3*(x - 2)**3/7
Factor 14336 + 8192*l + 136*l**3 - 47*l**4 + 51*l**4 - 755*l**2 + 2387*l**2.
4*(l + 4)*(l + 8)**2*(l + 14)
Let u(b) = -b**3 - 21*b**2 - 18*b + 44. Let d(p) = p - 13. Let z be d(-7). Let k be u(z). Suppose 0 + 8/5*n**2 - 2/5*n - 2*n**3 + 4/5*n**k = 0. Calculate n.
0, 1/2, 1
Let u be ((30 + -41)/55)/((-12)/20). Find w, given that -u*w**3 + 13/3*w**2 - 4*w + 0 = 0.
0, 1, 12
Let n(k) = -4*k**2 + 6*k + 2. Let g(c) = 29354685*c**2 - 48520*c. Let a(l) = -g(l) - 10*n(l). Factor a(x).
-5*(2423*x - 2)**2
Let r = -77 - -145. Let k be (-3 + 7)*51/r. Factor 2/3 - 14/9*z + 10/9*z**2 - 2/9*z**k.
-2*(z - 3)*(z - 1)**2/9
Let q be (4/18)/(1/(24/56)). Let c(g) be the second derivative of g - 1/21*g**4 + 0 + 1/35*g**5 - q*g**3 + 2/7*g**2. Determine s so that c(s) = 0.
-1, 1
Factor 468*a - 65*a**2 + 295*a**2 - 192*a**3 + 190*a**3.
-2*a*(a - 117)*(a + 2)
Let t be (-6)/(-4)*-334*1. Let w = -499 - t. Solve 2/9*b - 2/9*b**3 + 0 + 0*b**w = 0.
-1, 0, 1
Suppose 12 - 4 = -2*b, 3*b = -3*c + 63. Suppose -14*x + 22 = -9*x - 4*q, -5*x + c = -5*q. Determine g so that 4/5*g**x + 16/5 + 4*g = 0.
-4, -1
Let q be (-8)/(-6)*(-6)/(-4). Let f be ((-88 - -88)/81)/2. Factor -23/2*w**q - w + f.
-w*(23*w + 2)/2
Suppose 26*k - 123 = -15*k. Let r(j) be the third derivative of 1/180*j**6 + 0 + 1/4*j**4 + 0*j**k + 6*j**2 + 1/15*j**5 + 0*j. What is a in r(a) = 0?
-3, 0
Suppose -5*z = -5*j + 145, z = -2*z - 9. Factor -8*v - 16*v**2 - 11*v**3 + 24*v - 11*v**3 + j*v**3.
4*v*(v - 2)**2
Factor 3/2*s**2 - 1/10*s**3 + 1/10*s - 3/2.
-(s - 15)*(s - 1)*(s + 1)/10
Let r be (-1428)/(-102) + 4 + (-1 - 14). Let 1/5*f**2 - 1/5*f**r + 0*f + 0 = 0. What is f?
0, 1
Let r = 57 - 60. Let h be 0 - r - (-28 - -8). Factor 4*q**2 + 7 + h - 14 + 16*q.
4*(q + 2)**2
Suppose 10*i - 6*i + 1 = 5*b, -2*i + 37 = 5*b. Let l(s) be the first derivative of 45/8*s**4 + 25/12*s**6 + 0*s + 5/3*s**3 + 9 + 0*s**2 + 6*s**b. Factor l(r).
5*r**2*(r + 1)**2*(5*r + 2)/2
Let r(q) be the first derivative of 0*q**2 - 1/6*q**3 + 0*q + 63. Factor r(l).
-l**2/2
Let u(w) be the first derivative of -w**4/3 - 496*w**3/9 + 2*w**2/3 + 496*w/3 + 1357. Let u(h) = 0. What is h?
-124, -1, 1
Determine w so that -20*w**2 + 2/5*w**3 - 9216/5 + 1664/5*w = 0.
16, 18
Let q be 81/(-9) - ((-6)/(-12) + -1)/(6/111). Factor q*u**2 + 27/4 - 3*u.
(u - 9)*(u - 3)/4
Let c be (-194)/10 + -778 + 799. Determine a so that 0*a**3 + 0 - c*a**2 + 6/5*a**4 - 2/5*a**5 + 0*a = 0.
-1, 0, 2
Let d(i) = -605*i**2 - 2610*i - 2910. Let y(w) = 7*w + 3. Let t(l) = -10*l - 4. Let j(k) = 5*t(k) + 7*y(k). Let x(h) = -d(h) - 30*j(h). Factor x(m).
5*(11*m + 24)**2
Solve -304*f + 368/3 + 716/3*f**2 - 56*f**3 - 4/3*f**4 = 0 for f.
-46, 1, 2
Solve -304/9*f + 110/9*f**2 - 2/9*f**3 - 416/9 = 0 for f.
-1, 4, 52