9*h**3 - 4*h + 4*h**3 + 3*h**2 - 8*h**3. Let k be a(1). Factor 24*n**2 + 26 + 3*n**5 + 18*n**4 + 36*n**3 - 52 + k.
3*n**2*(n + 2)**3
Let x(f) be the second derivative of -f**5/16 - 185*f**4/3 + 2043*f. Factor x(a).
-5*a**2*(a + 592)/4
Let i(n) = n**3 - 2*n**2 + 4*n + 6. Let b be i(0). Let l(j) be the first derivative of -1/9*j**3 - 100/3*j + 10/3*j**2 - b. Factor l(d).
-(d - 10)**2/3
Let k(h) = 10*h**2 + 7*h - 21. Let t be k(3). Let p be 1/(-2) - (-195)/t. Factor -p*r**2 + 2/3*r - 2/3*r**3 + 5/3*r**4 + 0.
r*(r - 1)*(r + 1)*(5*r - 2)/3
Suppose 8*i + 1687 = -953. Let o be -4*((-2)/15 + i/900). What is b in 32/5*b**3 + 0 + 6/5*b**5 + 0*b - 8/5*b**o - 26/5*b**4 = 0?
0, 1/3, 2
Let c(u) = 2*u**3 + 19*u**2 - 2*u - 18. Let y = 417 - 418. Let g(k) = -k**3 + k**2 + k. Let v(r) = y*g(r) + c(r). Find d such that v(d) = 0.
-6, -1, 1
Let o(k) = 83*k**2 + 74*k - 5. Let c be o(-1). Let z(f) be the first derivative of -9 - 2/3*f**3 - 3*f**2 - c*f. Factor z(m).
-2*(m + 1)*(m + 2)
Find k such that 9/2 - 5/2*k**3 - 27/2*k + 23/2*k**2 = 0.
3/5, 1, 3
Let c(x) be the third derivative of -11*x**5/60 + 19*x**4/96 - x**3/12 - 96*x**2 + 8*x + 2. Factor c(b).
-(4*b - 1)*(11*b - 2)/4
Let y(m) be the second derivative of m**4/12 + 13*m**3/3 - 27*m**2/2 - 1778*m. What is f in y(f) = 0?
-27, 1
Let m(f) be the third derivative of f**6/30 - 2*f**5/15 + 656*f**2. What is d in m(d) = 0?
0, 2
Let r(q) = 13*q**3 + 186*q**2 + 44*q - 12. Let w(o) = 38*o**3 + 557*o**2 + 131*o - 33. Let k(b) = -11*r(b) + 4*w(b). Determine i, given that k(i) = 0.
-20, -2/9, 0
Let l(u) be the third derivative of -43*u**4/24 - 129*u**3/2 + 16*u**2. Let g be l(-9). Find n, given that 1/6*n**3 - 1/6*n + g + 0*n**2 = 0.
-1, 0, 1
Let i = -665 + 590. Let t be i/45*(-12)/10. Suppose 0 + 0*s - 2/13*s**t = 0. What is s?
0
Suppose -2*g - 15 + 79 = 3*p, 0 = -3*p + 6. Suppose g - 107 = -3*o. Factor -106*f**3 - o*f**2 + f**2 + 86*f**3 + 5*f**4.
5*f**2*(f - 5)*(f + 1)
Let m = 22 + -20. Factor -109*i**3 + m*i + 213*i**2 - i**5 - 198*i + 18*i**4 + 39*i**2.
-i*(i - 7)**2*(i - 2)**2
Let v(t) be the first derivative of 5/8*t**4 + 0*t - 173 + 28/3*t**3 + 11/4*t**2. Solve v(p) = 0 for p.
-11, -1/5, 0
Let z(s) = -5*s**2 - 41*s - 3. Let u be z(-8). Suppose 10*l + i = 12*l - 11, -20 = -u*l + i. Let 4/13*v**2 + 0*v - 6/13*v**l + 0 + 2/13*v**4 = 0. Calculate v.
0, 1, 2
Let p(u) = -132*u + 75. Let x be p(-19). Suppose -5*v + x = 2*v. Factor 4*y**3 - 16*y + v*y**2 - 369*y**2.
4*y*(y - 2)*(y + 2)
Let l(o) = -77*o**3 - 222*o**2 + 273*o - 26. Let b(m) = 146*m**3 + 444*m**2 - 549*m + 50. Let i(y) = 4*b(y) + 7*l(y). What is g in i(g) = 0?
-6, 1/15, 1
Suppose 927 = 8*v - 2065. Let h = v - 372. Factor 3/2 - 15/8*d + 3/8*d**h.
3*(d - 4)*(d - 1)/8
Let v(t) be the third derivative of -t**7/1470 - t**6/105 - t**5/28 + t**4/21 + 8*t**3/21 + 3*t**2 - 454. Solve v(g) = 0 for g.
-4, -1, 1
Let g(a) be the third derivative of -a**6/120 + 3*a**5/20 - a**4/3 + 138*a**2. Let c be g(8). Factor -2/5*w**2 + c - 2/5*w.
-2*w*(w + 1)/5
Let w(b) be the first derivative of 1/2*b**4 + 63 + 32/3*b**3 + 96*b + 52*b**2. Factor w(s).
2*(s + 2)**2*(s + 12)
Factor 676/7 + 2/7*s**3 + 234/7*s - 48/7*s**2.
2*(s - 13)**2*(s + 2)/7
Suppose -135254*p + 95 = -135235*p. Let f(m) be the second derivative of 0 - 1/10*m**p + 1/6*m**4 + 21*m + 0*m**3 + 0*m**2. Factor f(c).
-2*c**2*(c - 1)
Let n(c) be the third derivative of c**8/840 - 11*c**7/525 + 3*c**6/50 + 49*c**5/75 - 211*c**4/60 + 7*c**3 - c**2 - 222*c - 2. Suppose n(f) = 0. What is f?
-3, 1, 5, 7
Let s be (-45)/10*20/(-45). Factor -35*r**s + 136*r - 53 + 84*r + 36 - 43.
-5*(r - 6)*(7*r - 2)
Let t(i) be the second derivative of 1 - 4*i - 1/50*i**5 - 9/5*i**3 - 3/10*i**4 - 27/5*i**2. Factor t(s).
-2*(s + 3)**3/5
Let l(p) be the second derivative of p**6/20 - 231*p**5/40 + 151*p**4/8 - 75*p**3/4 - 2340*p. Suppose l(j) = 0. Calculate j.
0, 1, 75
Let p(x) be the first derivative of x**6/3 - 122*x**5/45 + 31*x**4/18 + 146*x**3/27 - 40*x**2/9 - 8*x/3 + 32. Solve p(c) = 0 for c.
-1, -2/9, 1, 6
Let p(k) be the second derivative of 5/6*k**3 - 1/12*k**4 + 15 + k - 3*k**2. Factor p(r).
-(r - 3)*(r - 2)
Let o(t) be the first derivative of t**7/210 + t**6/120 - t**5/60 - t**4/24 - 10*t**2 + t + 116. Let v(h) be the second derivative of o(h). Factor v(a).
a*(a - 1)*(a + 1)**2
Suppose -65*z = -61*z + 4*a - 808, -5*a - 790 = -4*z. Let h be (z/(-420))/((-5)/6). Factor -h*y**4 + 0 - 16/7*y - 20/7*y**3 - 32/7*y**2.
-4*y*(y + 1)*(y + 2)**2/7
Let g(o) be the third derivative of o**6/16 - 7*o**5/12 - 35*o**4/48 + 25*o**3/6 + o**2 + o - 13. Find d, given that g(d) = 0.
-1, 2/3, 5
Let p = -456932 - -456940. Find b such that -6 - p*b + 13/6*b**3 + 1/6*b**4 - 1/6*b**5 - 1/6*b**2 = 0.
-2, -1, 3
Factor 0 - 52/3*z**2 + 13/3*z**3 + 20*z - 1/3*z**4.
-z*(z - 6)*(z - 5)*(z - 2)/3
Factor -61/2*g**3 - 424*g + 1/2*g**4 + 0 + 220*g**2.
g*(g - 53)*(g - 4)**2/2
Let v be ((-6)/56)/(189/(-2205)). Let z be (1/8)/(2/4). Factor -z*l**2 + l + v.
-(l - 5)*(l + 1)/4
Let a(v) be the second derivative of -1/132*v**4 + 1/330*v**5 - 2/33*v**3 + 12*v - 7/2*v**2 + 0. Let h(b) be the first derivative of a(b). Factor h(t).
2*(t - 2)*(t + 1)/11
Let m(p) be the first derivative of -p**5/5 + p**4/2 + p**3 - 2*p**2 - 4*p + 690. Find f, given that m(f) = 0.
-1, 2
Let j = -1673 + 1674. Let o be 7 + (j - 2) + -6. Solve o*x + 1/8*x**2 - 1/8 = 0.
-1, 1
Let v(h) be the first derivative of 76*h**2 + 205 + 219488*h**4 - 5776*h**3 - 1/2*h - 16681088/5*h**5. Factor v(z).
-(76*z - 1)**4/2
Let a = -492703 + 492703. Determine z so that -1/6*z**2 + 8/3 + a*z = 0.
-4, 4
Let q = 643/30 + -134/15. Find l such that q*l**4 + 15/2*l**3 + 15/4*l**5 - 5/2 - 10*l**2 - 45/4*l = 0.
-2, -1, -1/3, 1
Determine i so that 2/7*i**2 + 0 + 12/7*i = 0.
-6, 0
Let w(k) = k**3 + k**2 - 73*k - 6. Let u be w(-9). Let r(s) be the first derivative of s**5 + 0*s + 1/2*s**4 + 0*s**2 + 1/2*s**6 + 0*s**u - 7. Solve r(b) = 0.
-1, -2/3, 0
Let r(j) be the second derivative of -j**4/12 + 40*j**3 - 7200*j**2 - 1758*j. Factor r(c).
-(c - 120)**2
Let p(s) be the second derivative of 11*s**7/126 - 34*s**6/45 + 12*s**5/5 - 67*s**4/18 + 53*s**3/18 - s**2 + 1297*s. Determine h, given that p(h) = 0.
2/11, 1, 3
Let u(n) be the first derivative of -n**4/48 + 7*n**3/24 + 44*n - 100. Let b(h) be the first derivative of u(h). Factor b(l).
-l*(l - 7)/4
Let r be ((-1)/3)/(22/(-473550)). Factor 9*h + 7176*h**3 - 8*h**2 + 9 + 9 - r*h**3.
(h - 6)*(h - 3)*(h + 1)
Let -39*h**2 + 5*h + 6*h + h**3 - 8*h + 43*h**2 = 0. Calculate h.
-3, -1, 0
Let a(v) be the third derivative of -v**5/120 + 103*v**4/48 - 97*v**3/2 - 8*v**2 + 2*v + 10. Solve a(i) = 0.
6, 97
Suppose -1931*g**3 + 7324*g**3 + 3 + 3 + 16524*g**2 + 8271*g + 2866*g**3 = 0. What is g?
-1, -2/2753
Let c(a) = -2*a**3 + 12*a**2 + 4*a - 17. Let i be c(5). Factor 49*u**2 - 10*u**4 + 14*u**4 - i*u**2.
4*u**2*(u - 1)*(u + 1)
Let m(g) = g**3 + 3*g**2 + 7*g + 1. Let p be m(-2). Let c be (-48)/p*-4*11/(-4). Let 0 + c*w**2 + 100/3*w**4 - 32/3*w - 280/3*w**3 = 0. Calculate w.
0, 2/5, 2
Let b(u) be the second derivative of u**6/540 + 2*u**5/45 + 4*u**4/9 + 64*u**3/27 + 125*u**2/2 + 6*u. Let h(y) be the first derivative of b(y). Solve h(d) = 0.
-4
Let g = 5731/290 - 1123/58. Find v such that 0*v**3 - g*v + 3/5*v**2 + 0 - 1/5*v**4 = 0.
-2, 0, 1
Let z = 272 + -337. Let i be ((-12)/18)/(z/15). Factor -1024/13 + i*m**3 + 384/13*m - 48/13*m**2.
2*(m - 8)**3/13
Factor 3/2*r**2 - 51/4 - 99/4*r.
3*(r - 17)*(2*r + 1)/4
Let c(f) be the third derivative of f**6/40 - f**5/4 + f**4 - 2*f**3 - 2*f**2 + 99*f. What is h in c(h) = 0?
1, 2
Let s(l) = 2*l**2 + 45*l. Let b(n) = 15*n**2 + 315*n. Let m(g) = 5*b(g) - 36*s(g). Factor m(q).
3*q*(q - 15)
Let n be ((-66)/77)/((-90)/240). Let -2*k**3 - n*k + 0 + 60/7*k**2 = 0. What is k?
0, 2/7, 4
Let f(l) be the third derivative of -l**5/80 + 29*l**4/4 + 233*l**3/8 + 3000*l**2. Determine i so that f(i) = 0.
-1, 233
Let p(v) = -11*v**4 - 3*v**3 + 3*v**2 + 3*v + 3. Let m(f) = 22*f**4 + 5*f**3 - 7*f**2 - 7*f - 7. Let r(o) = -3*m(o) - 7*p(o). Solve r(c) = 0.
-6/11, 0
Factor 14045/8 - 1/8*a**3 - 101/8*a**2 - 2279/8*a.
-(a - 5)*(a + 53)**2/8
Solve -24*y - 48*y**4 - 3*y**2 - 21*y**3 + 51*y**4 + 45*y**2 = 0.
0, 1, 2, 4
Let l be 2/10 + 192/(-360) - 103/(-300). Let d(g) be the second der