- 213055*g + 213465. Let b(z) = 55*l(z) - 2*t(z). Factor b(n).
-5*(n - 1)*(n + 1580)
Factor 56 - 8357*t - 3*t**2 + 64 - 8286*t + 16697*t.
-3*(t - 20)*(t + 2)
Let s(k) be the first derivative of k**4/20 - 36*k**3/5 + 1944*k**2/5 + 95*k + 75. Let m(i) be the first derivative of s(i). Find j, given that m(j) = 0.
36
Let c(w) be the third derivative of w**7/2100 + 23*w**6/1200 + 2*w**5/15 + 19*w**4/60 - 2461*w**2. Factor c(h).
h*(h + 2)**2*(h + 19)/10
Let y(r) be the first derivative of r**5/10 + r**4/6 - 25*r**3/3 - 25*r**2 + 96*r - 15. Let c(k) be the first derivative of y(k). Factor c(h).
2*(h - 5)*(h + 1)*(h + 5)
Let u be 13 - (1 - 6) - (-312)/(-18). Solve 2/3*b**3 - u*b**5 - 2/3*b**4 + 2/3*b**2 + 0 + 0*b = 0.
-1, 0, 1
Let x be ((-1)/45)/(260/(-390)). Let w(y) be the third derivative of 0*y - 1/3*y**4 + 0 - y**3 - 4*y**2 - x*y**5. Solve w(q) = 0 for q.
-3, -1
Let d(w) be the first derivative of -3/5*w**5 + 0*w + w**3 - 3/4*w**4 + 3/2*w**2 - 104. Factor d(j).
-3*j*(j - 1)*(j + 1)**2
Let z be 262/(-18340)*1/(-4)*2. Let d(t) be the second derivative of 0 + 1/84*t**4 - z*t**5 + 1/21*t**3 - 8*t + 0*t**2. Let d(a) = 0. Calculate a.
-1, 0, 2
Let j(q) be the third derivative of -q**8/6720 + q**7/420 - q**6/144 + q**4/24 - 7*q**3/3 + 43*q**2 + q. Let r(c) be the second derivative of j(c). Factor r(o).
-o*(o - 5)*(o - 1)
Let y(h) be the first derivative of -4*h**6/21 + 74*h**5/7 - 1779*h**4/28 + 2344*h**3/21 - 281*h**2/14 - 246*h/7 - 2907. Let y(d) = 0. Calculate d.
-1/4, 1/2, 2, 3, 41
Let t(g) = -g**3 + 11*g**2 - 3*g - 30. Let n be t(9). Let i = -96 + n. Determine z, given that -2*z - i*z**3 - 2*z**5 - 23*z**4 - 7*z**2 + z**5 + 18*z**4 = 0.
-2, -1, 0
Let u(c) be the second derivative of -19 - c + 42*c**2 + 22/3*c**3 - 2/3*c**4. Solve u(x) = 0.
-3/2, 7
Suppose 26*w + 4*z + 97 = 25*w, -2*w = 2*z + 206. Let q be (105/49 + -2)/((-5)/w). Let 20/7*l**2 - 8/7*l + 4*l**q + 0 = 0. Calculate l.
-1, 0, 2/7
Let l(v) be the second derivative of -23/15*v**3 - 2 + 1/50*v**5 - 1/3*v**4 - 12/5*v**2 - 33*v. Factor l(w).
2*(w - 12)*(w + 1)**2/5
Let x(c) be the third derivative of c**6/300 + 31*c**5/30 + 494*c**4/5 - 2028*c**3/5 - 79*c**2. Find g such that x(g) = 0.
-78, 1
Suppose 0 = 107*w - 86 + 514. Let g be w*(2/88)/(9/(-18)). Factor 216/11*z + 36/11*z**2 + 432/11 + g*z**3.
2*(z + 6)**3/11
Let r(j) = j**2 - 2*j - 1. Let q(f) = -5*f**3 - 2345*f**2 - 295400*f - 292900. Let m(w) = q(w) - 80*r(w). Factor m(v).
-5*(v + 1)*(v + 242)**2
Let k = -37 + 39. Suppose 2*f + 12 = 3*c, -3*c = 2*c - k*f - 16. Solve -25*z**c + 110*z - 4 - 12 - 8 - 16 = 0 for z.
2/5, 4
Suppose -18*n = -20*n + 32. Factor 1186 - 1186 - n*x**2 - 20*x + 4*x**3.
4*x*(x - 5)*(x + 1)
Let m(x) be the third derivative of -x**6/40 + 23*x**5/20 - 15*x**4/2 - 1304*x**2. What is q in m(q) = 0?
0, 3, 20
Let a(u) be the second derivative of u**6/120 + 13*u**5/80 + 11*u**4/12 + 4*u**3/3 - 385*u. Let a(m) = 0. What is m?
-8, -4, -1, 0
Let c = -1730144/3 - -576715. Factor 3 - 3*l**2 - 1/3*l + c*l**3.
(l - 9)*(l - 1)*(l + 1)/3
Let x(j) be the first derivative of -j**6/255 + 2*j**5/85 - 5*j**4/102 + 2*j**3/51 + 121*j - 111. Let a(k) be the first derivative of x(k). Factor a(r).
-2*r*(r - 2)*(r - 1)**2/17
Suppose -5*t = 3*t - 32. Let s(x) be the first derivative of 0*x**2 - 8*x**2 + 2*x**3 + t*x**2 - 7 - 3 - 8*x. Factor s(m).
2*(m - 2)*(3*m + 2)
Let m(x) be the first derivative of x**6/36 - x**5/15 + x**3/9 - x**2/12 + 1197. What is c in m(c) = 0?
-1, 0, 1
Let l(f) = -4615*f + 4617. Let o be l(1). Suppose 7/4*z**o + 1/4*z**4 - 3/2*z**3 + 3/2*z - 2 = 0. Calculate z.
-1, 1, 2, 4
Let y(o) be the second derivative of o**7/231 + 211*o**6/165 + 11647*o**5/110 + 54697*o**4/66 + 85696*o**3/33 + 42436*o**2/11 - 729*o. What is k in y(k) = 0?
-103, -2, -1
Let p(k) be the first derivative of 284*k**5/5 - 1560*k**4 + 11396*k**3 + 484*k**2 - 1574. Factor p(b).
4*b*(b - 11)**2*(71*b + 2)
Determine o so that 328*o**3 - 16*o**4 + 146*o**3 + 5408 + 552*o**2 + 366*o**3 + 130*o**3 + 21788*o - 1262*o**3 = 0.
-13, -1/4, 8
Let v = -124 + 149. Suppose 0 = 3*d - 4*o - 0*o - v, o = d - 7. Let 0*y + 1/9*y**2 - 2/9*y**d + 0 + 1/9*y**4 = 0. Calculate y.
0, 1
Suppose 8 = z - 5*v + 20, 5*z - 3*v - 6 = 0. Factor 174 - 294 - 12*x**2 + 174 - z*x**3 + 9*x.
-3*(x - 2)*(x + 3)**2
Let u be 3304/(-8)*(3 + 20/(-8)). Let j = -202 - u. Factor -j*s - 4 - 1/2*s**2.
-(s + 1)*(s + 8)/2
Let j(u) be the second derivative of -u**4/6 - u**3/3 + u**2/2 + 8*u - 4. Let f(y) = -5*y**2 - 25*y + 3. Let t(g) = f(g) - 3*j(g). Factor t(n).
n*(n - 19)
Let o = -10 - -12. Let c be (-3)/o - (-9)/6. Factor -w**5 + 2*w**4 - w + 0*w + 2 + 2*w**3 + c*w - w**2 - 3*w**2.
-(w - 2)*(w - 1)**2*(w + 1)**2
What is s in -320/3 - 14*s - 1/3*s**2 = 0?
-32, -10
Let z(a) = -2*a**5 - a**4 - 55*a**3 + 4*a**2 + 57*a - 3. Let d(h) = 3*h**5 + 53*h**3 - 4*h**2 - 56*h + 4. Let r(p) = -3*d(p) - 4*z(p). What is s in r(s) = 0?
-6, -1, 0, 1, 10
Let p(f) = -401*f - 9. Let q be p(-2). Solve 744*j**2 - 42*j - 5 - q*j**2 - 4 = 0 for j.
-3/7
Suppose -21 = -3*x + 5*i, -10*i = 144*x - 147*x + 36. Suppose 338/9 + 98/9*m**x - 364/9*m = 0. Calculate m.
13/7
Let h(p) be the second derivative of -p**6/15 + 97*p**5/5 + 65*p**4/2 - 3682*p - 2. Determine j so that h(j) = 0.
-1, 0, 195
Factor 33*i - 18*i**2 + 94*i + 5*i**3 + 928*i - 36*i**2 - 525 - 481*i**2.
5*(i - 105)*(i - 1)**2
Let m(o) = -9*o**3 - 198*o**2 - 399*o - 204. Let r(n) = 2*n**3 - n. Let b(w) = -m(w) - 6*r(w). Suppose b(a) = 0. Calculate a.
-1, 68
Suppose 0 = 26*b - 27*b. Let t be ((-153)/34 - -5)*b/2. Factor t + 0*r + 1/2*r**4 + 2*r**2 + 2*r**3.
r**2*(r + 2)**2/2
Suppose 246*u = 87*u - 34*u + 386. Factor -80/19*h - 6/19*h**u + 56/19.
-2*(h + 14)*(3*h - 2)/19
Let n(c) be the first derivative of -2*c**5/85 + 14*c**4/17 - 188*c**3/51 - 84*c**2 - 306*c + 1045. Factor n(x).
-2*(x - 17)**2*(x + 3)**2/17
Factor 1127*c**4 - 3633*c**4 + 1208*c**4 + 6890*c**3 - 654165 - 9090 + 1151*c**4 + c**5 - 756891*c - 86598*c**2.
(c - 51)**3*(c + 1)*(c + 5)
Let d(s) = s**2 + 29*s + 80. Let z be d(0). Factor -128*j**2 - 659*j**4 + 655*j**4 - z - 77*j**2 + 44*j**3 + 196*j + 49*j**2.
-4*(j - 5)*(j - 4)*(j - 1)**2
Factor 844/15 + 702/5*l - 2/3*l**2.
-2*(l - 211)*(5*l + 2)/15
Suppose -17*l + 120 = -9*l. Factor 4*g - 16 + 11*g - 2*g**3 + l*g - 12*g**2 + 0*g**2.
-2*(g - 1)**2*(g + 8)
Let s(f) = -2*f + 13. Let h = -49 - -53. Let g be s(h). Solve -3*r**2 + g*r - 5*r = 0.
0
Let r(x) be the first derivative of -2*x**3/3 - 7*x**2/2 - x + 11. Let g(a) = -a**2 + a + 1. Let p = -3 + 4. Let l(o) = p*r(o) + g(o). Let l(i) = 0. What is i?
-2, 0
Let l(q) = -3*q - 26. Let g be l(-10). Factor 2592 - 75*w**4 - 80*w**4 + 348*w**3 + 135*w**g + 3024*w - 1944*w**2.
-4*(w - 6)**3*(5*w + 3)
Let l(u) be the second derivative of u**5/180 + u**4/36 - u**3/6 - 57*u**2 - 14*u + 3. Let k(r) be the first derivative of l(r). Factor k(x).
(x - 1)*(x + 3)/3
Find g such that -104/3*g**2 + 2/3*g**3 + 202/3*g - 100/3 = 0.
1, 50
Let p = -884654/5 - -176931. Find i such that 2*i - p*i**2 - 9/5 = 0.
1, 9
Let v be (2*9/(-6))/(15/(-15)). Let u(j) be the first derivative of 6859/30*j**4 + 16/15*j + 1444/15*j**v + 8 + 76/5*j**2. Factor u(y).
2*(19*y + 2)**3/15
Let w(n) be the third derivative of -n**5/30 - 25*n**4/4 - 350*n**3/3 - 872*n**2. Solve w(b) = 0.
-70, -5
Let u(j) = j**3 + 13*j**2 - 62*j + 112. Let t be u(-17). Suppose -2*o + o + 3 = 0. Suppose 7*c + 2 - 27*c - t*c**2 + 38 + 5*c**o = 0. What is c?
-2, 2
Suppose r = 5*z - 248, 6 = r + 2*r. Suppose z = 5*h + 2*v, -3*h = -6*v + 4*v - 14. Factor -2*i**5 - 807*i**2 + 803*i**2 + 4*i**4 - 12*i**3 + h*i + 6*i**5.
4*i*(i - 1)**2*(i + 1)*(i + 2)
Let i = 77491/47901 - -3/2281. Let l = i - 9/7. Factor -1 + 2/3*r**2 + 4/3*r**3 + l*r**4 - 4/3*r.
(r - 1)*(r + 1)**2*(r + 3)/3
Factor -228/7 + 8/7*n**3 - 134*n - 102/7*n**2.
2*(n - 19)*(n + 6)*(4*n + 1)/7
Let r(d) be the first derivative of -d**3 - 2*d**2 - 1/5*d**5 + 108 + d**4 + 4*d. Factor r(w).
-(w - 2)**2*(w - 1)*(w + 1)
Let d(o) be the third derivative of 1/1995*o**7 - 11/1140*o**6 - 1/570*o**5 - 173*o**2 + 0 + 11/228*o**4 + 0*o**3 + 0*o. Find n such that d(n) = 0.
-1, 0, 1, 11
Let d(c) = -2*c**3 - 30*c**2 + 5*c + 78. Let o be d(-15). Let h = -7 - -12. Factor 4*k**h - 1488*k**4 + 0*k**2 - 16*k**o + 12*k + 8*k**2 + 1480*k**4.
4*k*