ond derivative of -o**4/30 + 161*o**3/15 + 492*o**2/5 + 2*o - 674. Suppose r(b) = 0. What is b?
-3, 164
Solve 0 + 1/7*m**5 - 85/7*m**3 + 12*m**4 + 0*m**2 + 0*m = 0.
-85, 0, 1
Suppose -g + q = -20, 9*g + q = 14*g - 92. Suppose -166*y = -157*y - g. Factor 2/15*x**4 + 0 + y*x**2 + 14/15*x**3 + 6/5*x.
2*x*(x + 1)*(x + 3)**2/15
Let a(n) be the third derivative of -n**5/720 + 517*n**4/288 + 9923*n**2. Solve a(i) = 0.
0, 517
Factor -3/7*g**3 + 930/7*g + 303/7*g**2 + 624/7.
-3*(g - 104)*(g + 1)*(g + 2)/7
Let d(u) be the second derivative of 5*u**4/12 + 1670*u**3/3 + 278890*u**2 - 5*u + 164. Let d(m) = 0. What is m?
-334
Suppose 12*h**2 - 6365*h**4 + 3183*h**4 + 3186*h**4 - 4*h - 12*h**3 = 0. What is h?
0, 1
Determine j, given that -11196/7 + 6/7*j**2 - 16790/7*j = 0.
-2/3, 2799
Let l(w) be the first derivative of 7*w**5 + 0*w**2 + 5/3*w**6 + 0*w + 0*w**3 - 124 - 5*w**4. Determine d so that l(d) = 0.
-4, 0, 1/2
Let s be (3 + 0)/(-6)*-95. Let v = 29869 - 29867. Factor -15 + 35/2*y**v - s*y.
5*(y - 3)*(7*y + 2)/2
Let f(a) be the second derivative of a**7/315 + 19*a**6/180 + 3*a**5/10 + 65*a**4/12 - 38*a. Let p(o) be the third derivative of f(o). Factor p(h).
4*(h + 9)*(2*h + 1)
Suppose 0 = 116*v - 119*v - 3. Let s be (16 - 25)*v*(0 + 1). Factor -48*i**2 - 21*i**3 - 12*i**2 - 18 + 3 - 5*i**4 - 50*i - s*i**3.
-5*(i + 1)**3*(i + 3)
Let x(g) be the second derivative of -g**6/15 - 339*g**5/10 - 12769*g**4/2 - 1442897*g**3/3 + 7520*g. Suppose x(j) = 0. Calculate j.
-113, 0
Let p(f) be the first derivative of 5*f**4/4 - 10*f**3 - 35*f**2/2 + 8871. Factor p(j).
5*j*(j - 7)*(j + 1)
Suppose 96 - 288 = -207*v + 82 + 140. Let x be 8/3*6/4. Solve 10/13*r - 2/13*r**3 - 6/13*r**v + 2/13*r**x - 4/13 = 0 for r.
-2, 1
Let f be (-14)/(-1960)*2668 + 9/(-45). Suppose -48/7 - 46/7*m**3 - 136/7*m - f*m**2 + 0*m**4 + 2/7*m**5 = 0. What is m?
-2, -1, 6
Let r(a) be the first derivative of a**4/12 - 25*a**3/6 + 12*a**2 + 20*a - 108. Let t(l) be the first derivative of r(l). Find d, given that t(d) = 0.
1, 24
Let o(d) be the third derivative of 1/30*d**5 + 0 + 8/3*d**3 + 0*d + 77*d**2 + 3/4*d**4. Factor o(z).
2*(z + 1)*(z + 8)
Let x(h) be the first derivative of -h**5 + 5*h**4/2 + 475*h**3/3 - 1230*h**2 + 1980*h + 3580. Factor x(i).
-5*(i - 6)**2*(i - 1)*(i + 11)
Factor 56/3 + 4/9*u**2 + 68/9*u.
4*(u + 3)*(u + 14)/9
Let m = 117412 - 1056706/9. Suppose -14/9*y + m*y**2 + 20/9 = 0. What is y?
2, 5
Determine p, given that -4*p**3 + 52*p - 274 + 6 + 240*p - 44 + 48*p - 24*p**2 = 0.
-13, 1, 6
Let h(g) = 4*g**2 - 40*g + 28. Let s(t) = -2*t - 2. Suppose 5*b - 38 = 3*p, -2*b + 0*b - 4 = 2*p. Let f(y) = p*s(y) + h(y). Factor f(x).
4*(x - 5)*(x - 2)
Let w(q) = 13 + 21 - 2*q + 22 - 13. Let d be w(21). Factor -v**3 + 12*v - d - 8*v - 3*v**3 + v**2.
-(v - 1)*(v + 1)*(4*v - 1)
Let w(i) be the first derivative of 1/2*i**4 + 1/2*i**3 + 1/20*i**5 + 101 - i**2 - 7/4*i. Factor w(q).
(q - 1)*(q + 1)**2*(q + 7)/4
Factor 0*v**3 + 10*v + 5*v**3 - 15*v**2 - 2*v**3 - 88*v + 357 + 3.
3*(v - 6)*(v - 4)*(v + 5)
Let m(a) = -4*a**3 - a**2 + 5*a + 5. Let p be m(-1). Find s such that 10*s**4 - 6*s - 6 - 38*s**4 - p*s - 3*s**3 + 27*s**2 + 19*s**4 = 0.
-2, -1/3, 1
Let l = -429988 + 2149967/5. Find m, given that 6/5 - 27/5*m**3 - 21/5*m**4 + l*m + 3*m**2 = 0.
-1, -2/7, 1
Let w(v) = v**2 + v + 1. Let a be 4/(-14) + 27/21 - 7. Let u be w(a). Determine o, given that 6*o + 32*o**2 + 24*o**2 - 3*o**3 + u*o**2 - 84*o**2 = 0.
-1, 0, 2
Factor 7*t - t**3 + 264 - 2*t**3 + 81*t**2 - 258*t - 62*t - 29*t.
-3*(t - 22)*(t - 4)*(t - 1)
Suppose -219*n = -217*n - 6. Factor 4*l**3 - 153 - 32*l - 38*l - n*l**3 + 4*l**3 + 5*l**2 + 33.
5*(l - 4)*(l + 2)*(l + 3)
Factor -3/7*c**2 - 1410/7 - 171/7*c.
-3*(c + 10)*(c + 47)/7
Let n(i) = -4*i**2 - 11*i - 6. Let d(u) be the third derivative of -u**5/60 - u**4/8 - u**3/3 + 15*u**2. Let b(t) = -7*d(t) + 2*n(t). Factor b(s).
-(s - 1)*(s + 2)
Let q(a) be the third derivative of -4*a + 0*a**3 + 1/80*a**6 + 0*a**4 - 4*a**2 + 1/40*a**5 - 1/140*a**7 - 1/224*a**8 + 0. Suppose q(v) = 0. What is v?
-1, 0, 1
Solve 2/3*d**2 - 242/3*d + 0 = 0 for d.
0, 121
Solve 24/5*n - 18 + 2/5*n**2 = 0.
-15, 3
Let v = 48 + -46. Suppose -53 = -14*i + 3. Factor -i*j**2 - v*j - 7*j + j.
-4*j*(j + 2)
Suppose -104/7*k**3 - 36 - 600/7*k - 64*k**2 - 4/7*k**4 = 0. Calculate k.
-21, -3, -1
Let v(s) be the second derivative of -4/3*s**3 + 2*s**2 - 1 + 29*s - 5/12*s**4 + 1/30*s**6 + 1/2*s**5 - 1/21*s**7. Suppose v(a) = 0. Calculate a.
-2, -1, 1/2, 1, 2
Let n(f) be the second derivative of f**5/150 - f**4/18 - 56*f**3/45 + 4*f**2 - 2713*f. Solve n(l) = 0.
-6, 1, 10
Let i be (-900)/(-40)*8/6. Let k be (i/(-20))/(((-2)/20)/1). Factor 3*o + 20*o**3 + k*o**2 - 5*o - 3*o + 0*o.
5*o*(o + 1)*(4*o - 1)
Factor 20*f**3 - 1320*f + 13*f**3 - 58*f**3 + 22*f**3 - 1200 - 123*f**2.
-3*(f + 1)*(f + 20)**2
Suppose -20/13*l**2 - 12/13*l**4 - 6/13*l + 0 - 2/13*l**5 - 24/13*l**3 = 0. What is l?
-3, -1, 0
Let r(a) be the first derivative of a**6/8 + 9*a**5/2 - 525*a**4/16 + 1545. Let r(b) = 0. What is b?
-35, 0, 5
Let b(l) = -36*l**5 - 280*l**4 - 896*l**3 - 784*l**2 + 16*l. Let o(s) = -7*s**5 - 56*s**4 - 179*s**3 - 157*s**2 + 3*s. Let t(z) = 3*b(z) - 16*o(z). Factor t(k).
4*k**2*(k + 2)**2*(k + 10)
Let w = 869661/20 + -43483. Let q(c) be the third derivative of 2/3*c**3 - 1/6*c**4 + 0 + 34*c**2 - w*c**5 + 0*c. Factor q(l).
-(l + 2)*(3*l - 2)
Let j be ((-120)/(-75))/((-2)/(-5)) - 2. Let u be (-1032)/(-80) + j/5*-1. Find r such that 55/2*r**2 - 5 + u*r + 10*r**3 = 0.
-2, -1, 1/4
Let n(i) be the first derivative of i**6/21 - 16*i**5/35 + 11*i**4/7 - 16*i**3/7 + 9*i**2/7 - 479. Factor n(u).
2*u*(u - 3)**2*(u - 1)**2/7
Factor 3/5 - 181/5*l + 12*l**2.
(l - 3)*(60*l - 1)/5
Let h = 1885/1164 + 45/97. Let f(j) be the second derivative of 0 + 0*j**2 - h*j**4 - 15*j + 7/8*j**5 + 5/4*j**3. Factor f(k).
5*k*(k - 1)*(7*k - 3)/2
Let u(c) = 9*c**4 - 87*c**3 + 408*c**2 - 528*c - 360. Let n(d) = d**4 + d**2 - d + 5. Let k(r) = -3*n(r) + u(r). Let k(x) = 0. Calculate x.
-1/2, 5
Let c(i) be the third derivative of i**7/315 - 4*i**6/45 - 97*i**5/90 - 41*i**4/9 - 28*i**3/3 + 16*i**2 + 183. Find t, given that c(t) = 0.
-2, -1, 21
Suppose z**2 - 568 - 268 - 3*z**2 + 86*z - 4*z = 0. Calculate z.
19, 22
Let r = 95 + -93. Let k(m) = 12*m**2 - 11*m - 18. Let j(d) = -5*d**2 + 6*d + 9. Let w(f) = r*k(f) + 5*j(f). Factor w(o).
-(o - 9)*(o + 1)
Let -1260*g**3 - 270*g - 245*g**4 - 62479 + 1215*g**2 + 62479 = 0. What is g?
-6, 0, 3/7
Let j(p) be the first derivative of p**6/70 + 3*p**5/70 - p**4/7 - p**3/7 + 9*p**2/14 + 93*p + 37. Let h(w) be the first derivative of j(w). Factor h(a).
3*(a - 1)**2*(a + 1)*(a + 3)/7
Let u be (-9 + 4 - -7) + 1. Factor d**2 - 2*d + 4 - 10 - 6 - u.
(d - 5)*(d + 3)
Suppose 1025*d = 407*d + 2161 + 311. Factor -4/3*j + 26/3*j**2 + 0 - 14/3*j**5 + 46/3*j**d - 18*j**3.
-2*j*(j - 1)**3*(7*j - 2)/3
Let s = 16543444/9 - 1838156. Solve s*z**4 + 0*z**2 + 38/9*z**3 + 0*z + 0 + 2/9*z**5 = 0.
-19, -1, 0
Let d be 28 + 10*75/(-30). Let q(i) be the first derivative of -i - 7 - 1/2*i**2 + 2/3*i**d. Determine z, given that q(z) = 0.
-1/2, 1
Let w be 130/(-32)*(-204)/12750. Let h(z) be the third derivative of 13/40*z**4 + 0 - 1/50*z**5 + 1/5*z**3 + 0*z - 33*z**2 - w*z**6. Find b such that h(b) = 0.
-1, -2/13, 1
Let t(b) = -b**4 - b**2 + b - 1. Let l = -761 + 764. Let i(z) = z**5 + 2*z**4 - 8*z**3 - 12*z**2 + 25*z - 12. Let n(g) = l*i(g) - 6*t(g). Factor n(u).
3*(u - 1)**3*(u + 2)*(u + 5)
Suppose -493*i - 359*i = 19*i + 649*i - 199*i. Factor -2/21*d**3 + i*d**2 - 2/21*d**4 + 0*d + 0.
-2*d**3*(d + 1)/21
Let y(n) = 2*n**2 + 1776*n - 1898. Let s(f) = -2*f**2 - 1796*f + 1898. Let j(v) = -6*s(v) - 5*y(v). Let j(g) = 0. Calculate g.
-949, 1
Factor -1668/7 - 2/7*m**2 - 562/7*m.
-2*(m + 3)*(m + 278)/7
Suppose 224/3*p**2 - 14/3*p**4 + 31/3*p**3 + 0 - 80*p - 1/3*p**5 = 0. Calculate p.
-15, -4, 0, 1, 4
Let x be ((-1)/(9/(-12)))/((-6)/(-27)). Suppose -17*d + x = -14*d. Determine j, given that d*j + 3*j + 3*j - 6*j + 2*j**2 = 0.
-1, 0
Suppose -708 = -2*z - 0*z - 3*p, -1075 = -3*z + 2*p. Let i = -353 + z. Factor 2/3*t**i - 2/3*t**3 + 0 + 0*t**2 + 0*t.
2*t**3*(t - 1)/3
Let g(k) be the first derivative of -9*k**5/5 - 15*k**4 + 7*k**3 - 2606. Suppose g(q) = 0. Calculate q.
-7, 0, 1/3
Solve -