49 - b. Let -2/3*q - 2/3*q**2 + i = 0. What is q?
-2, 1
Let f be 0*(-21)/(-39 + -3). Let t(m) be the second derivative of -1/165*m**6 - 3/55*m**5 + 0*m**2 + f*m**3 - 3/22*m**4 + 0 - 38*m. Solve t(q) = 0.
-3, 0
Let p(b) = -6*b**2 + 1. Let d(h) = h**5 - 13*h**3 + 6*h**2 + 1. Let n(u) = 2*d(u) - 2*p(u). Factor n(g).
2*g**2*(g - 3)*(g - 1)*(g + 4)
Let z(w) be the third derivative of -w**6/480 - w**5/240 + 169*w**4/96 + 169*w**3/24 - 75*w**2 + 4. Factor z(d).
-(d - 13)*(d + 1)*(d + 13)/4
Let i(g) = -5*g**2 + 27*g + 58. Let o = 231 + -226. Let a(r) = -7*r**2 + 27*r + 59. Let u(m) = o*i(m) - 4*a(m). Solve u(x) = 0 for x.
-6, -3
Let m(k) be the third derivative of -k**6/80 - 7*k**5/24 - 11*k**4/24 - 47*k**2 - 1. Factor m(j).
-j*(j + 11)*(3*j + 2)/2
Let t(n) = -12*n**2 + 10*n + 2. Let w be t(1). Let z(r) be the second derivative of 14*r - 1/48*r**4 + 0*r**2 + w + 1/12*r**3. Factor z(j).
-j*(j - 2)/4
Let c(y) be the first derivative of y**6/360 - y**5/24 + y**4/6 - 20*y**3/3 + 42. Let w(j) be the third derivative of c(j). Solve w(i) = 0 for i.
1, 4
What is c in 2/5*c**2 + 1108/5*c + 0 = 0?
-554, 0
Suppose -848700*c - 1500138*c - 1006103 - 67472 + 2609*c**2 - 629450 - c**3 + 648423*c = 0. What is c?
-1, 1305
Let a(z) be the third derivative of z**5/210 + 755*z**4/14 + 1710075*z**3/7 + 7440*z**2. Let a(h) = 0. What is h?
-2265
Determine j, given that 0*j + 54*j**3 + 3/8*j**5 + 9*j**4 + 0*j**2 + 0 = 0.
-12, 0
Let l be 3/((-34)/168 + (-6)/(-21)). Find p such that 3 + 9*p**4 - 106*p**3 - 18*p + 223*p**3 - 147*p**3 + l*p**2 = 0.
1/3, 1
Factor 0*x - 1/2*x**4 + 0 - 8*x**3 + 0*x**2.
-x**3*(x + 16)/2
Let f be 1/4 - 51/(-68). Let v be (f - 1)/(-2) + 2. Let 9 - 6*p**2 + 3*p**2 + 3*p**2 - 6*p + p**v = 0. Calculate p.
3
Let m(n) = -2*n**5 + n**4 - n**3 + 2*n**2 - n. Let w(c) = 9*c**5 + 3*c**4 - 114*c**3 - 462*c**2 - 333*c. Let y(x) = 3*m(x) + w(x). Factor y(i).
3*i*(i - 7)*(i + 1)*(i + 4)**2
Suppose -3*t = -2*k + 589 + 294, -5*t = 5. Let x = -440 + k. Determine b, given that 2/3*b**3 + 0 + x*b - 8/3*b**2 = 0.
0, 4
Let w = -11465 + 11470. Let u(q) be the third derivative of 1/7*q**7 + 5/6*q**4 + 5/336*q**8 + 2*q**2 + 0*q + 0*q**3 + q**w + 0 + 13/24*q**6. Factor u(l).
5*l*(l + 1)**2*(l + 2)**2
Let i = -5048 + 3081. Let s = -1967 - i. Determine r, given that -9/5*r**4 + s + 4*r**3 - 6/5*r + 23/5*r**2 = 0.
-1, 0, 2/9, 3
Let a be 212/7314 - (-34)/(-2760). Let r(j) be the third derivative of -a*j**6 + 1/4*j**4 + 0*j - 3 + 6*j**3 - 2/15*j**5 + 4*j**2. Factor r(o).
-2*(o - 2)*(o + 3)**2
Let m(o) be the second derivative of -o**6/30 + 21*o**5/20 - 137*o**4/12 + 93*o**3/2 - 81*o**2 - 1451*o. Factor m(p).
-(p - 9)**2*(p - 2)*(p - 1)
Let t(j) be the first derivative of 3*j**3/4 + 39*j**2/4 - 30*j - 989. Factor t(s).
3*(s + 10)*(3*s - 4)/4
Let t be (190460/(-801))/(22/(-3)). Let g = -342/11 + t. Let 1/3*s**4 + g*s**3 + s**2 - 4/3*s - 4/3 = 0. What is s?
-2, -1, 1
Let t = 14801 + -14801. Let q(o) be the first derivative of -21 + t*o**2 + 0*o + 0*o**3 - 1/18*o**4. Factor q(z).
-2*z**3/9
Suppose -19*y = -13*y - 2*h + 10, h - 16 = -2. Factor 1/5*z**4 + 2/5*z**y - 4/5*z**2 + 0 - 8/5*z.
z*(z - 2)*(z + 2)**2/5
Let a(m) = -15*m - 108. Let s be a(-9). Solve -4*v**3 + s*v + v**3 + 9*v**2 - 3330*v**4 + 3329*v**4 = 0 for v.
-3, 0, 3
Suppose 0 = a + 16*a - 102. Suppose a*f + 36 = 18*f. What is m in 32/5 - 14/5*m**2 + 16/5*m + 2/5*m**f = 0?
-1, 4
Let b = 371051 + -371051. Factor 1/4*x**2 + 1/4*x**5 + b*x - 1/4*x**4 - 1/4*x**3 + 0.
x**2*(x - 1)**2*(x + 1)/4
Let g(u) be the first derivative of 1/21*u**3 - 40/7*u**2 + 1600/7*u + 52. Let g(b) = 0. Calculate b.
40
Let d(f) = 230*f**2 - 223*f - 7. Let g(c) = -c**2 + 2*c - 1. Let o(k) = -d(k) - 5*g(k). Factor o(y).
-3*(y - 1)*(75*y + 4)
Let m(t) be the second derivative of -t**5/200 + t**4/2 - 283*t**3/20 - 91*t**2/2 + 8457*t. Factor m(k).
-(k - 35)*(k - 26)*(k + 1)/10
Let j(h) be the first derivative of 3/4*h**2 - 141 + 18*h - 1/2*h**3. Factor j(u).
-3*(u - 4)*(u + 3)/2
Let k(t) = 8*t**3 - 2525*t**2 + 317515*t + 320042. Let y(v) = -65*v**3 + 20200*v**2 - 2540120*v - 2560335. Let j(z) = 25*k(z) + 3*y(z). Factor j(m).
5*(m - 253)**2*(m + 1)
Factor -5576*f - 164/7*f**3 - 2/7*f**4 - 16184 - 4314/7*f**2.
-2*(f + 7)**2*(f + 34)**2/7
Let p be (-120)/72*24/(-20). Let q(j) be the third derivative of -1/90*j**6 + 0 + 1/24*j**4 + 0*j - 1/18*j**3 + 0*j**5 + 16*j**p. Factor q(m).
-(m + 1)*(2*m - 1)**2/3
Let f = 598072/3 - 199356. Factor -7/3*y**2 - f*y + 1.
-(y + 1)*(7*y - 3)/3
Suppose 0 + 0*n + 284/5*n**3 + 2/5*n**4 - 286/5*n**2 = 0. What is n?
-143, 0, 1
Let z(f) = -3 - 7 - 3 - 2*f + 5. Let y be z(-7). What is k in 19*k - 3*k**2 - y - 9*k - 19*k = 0?
-2, -1
Factor -13128*a**2 - 2736*a - 3625*a - 1559*a + 4*a**4 + 23652 - 2608*a**3.
4*(a - 657)*(a - 1)*(a + 3)**2
Let z(b) be the second derivative of -b**4/21 - 22*b**3/7 - 180*b**2/7 - 1858*b. What is r in z(r) = 0?
-30, -3
Let p be -9*(-1 - (4/(-7))/((-48)/168)). Let c(m) be the first derivative of 0*m + 0*m**3 + m**2 - 1/2*m**4 - p. Factor c(j).
-2*j*(j - 1)*(j + 1)
Let f = 263/381 - 3/127. Solve -f*l**4 + 8/3*l + 4/3*l**3 + 0 + 14/3*l**2 = 0 for l.
-1, 0, 4
Let n(d) be the third derivative of d**6/540 - d**4/9 + 10*d**3 + 133*d**2. Let w(y) be the first derivative of n(y). Determine a, given that w(a) = 0.
-2, 2
Let c(o) = -3*o - 8. Let d(t) = -5*t**2 - 339*t - 654. Let p(v) = -2*c(v) - d(v). Factor p(u).
5*(u + 2)*(u + 67)
Let r(c) = 2535*c + 926 - 729 - 85*c**2 + 2388. Let s(d) = 5*d**2 - 149*d - 152. Let y(f) = -2*r(f) - 35*s(f). Suppose y(l) = 0. Calculate l.
-1, 30
Let s(w) be the third derivative of w**6/600 - 61*w**5/50 - 2*w**2 - 6*w - 20. Factor s(a).
a**2*(a - 366)/5
Suppose 0 = 2*n + 8*f - 13*f + 21, -5*n - 2*f + 20 = 0. Determine g so that -6*g**2 - 16 + 3*g**3 + 12*g**3 + 0*g**3 + 18*g**n - 19*g**3 = 0.
-1, 2
Let b(f) be the first derivative of 10/3*f**2 + 30 - 16/9*f**3 + 8*f. Factor b(x).
-4*(x - 2)*(4*x + 3)/3
Factor 85*c**3 - 32*c**3 + 131*c**3 - 60*c**4 - 192*c**2 + 34209*c - 4 - 34137*c.
-4*(c - 1)**3*(15*c - 1)
Let c(z) be the first derivative of -z**6/33 + 6*z**5/55 + z**4/22 - 2*z**3/3 + 12*z**2/11 - 8*z/11 + 962. Let c(i) = 0. What is i?
-2, 1, 2
Let f be (-4 - 1)/(-16 - 4335/(-272)). Let h be (f/(-15) - -9) + 1*-2. Factor v - 3 + 1/3*v**3 + h*v**2.
(v - 1)*(v + 3)**2/3
Let o(p) = 7*p**2 + 1045*p + 14341. Let r be o(-134). Let 116/5*u**4 - 14/5*u**5 + 36/5 - 94/5*u - 152/5*u**2 + 108/5*u**r = 0. What is u?
-1, 2/7, 1, 9
Let a(l) = 4*l + 24. Let d be a(-6). Suppose -m = m + 5*b - 21, d = -3*m + 5*b - 6. Let 7*i**3 + 13*i**m - 53*i - 5*i**2 + 20 - 47*i + 20*i = 0. Calculate i.
-2, 1/4, 2
Factor -544/7*f + 36992/7 + 2/7*f**2.
2*(f - 136)**2/7
Let z(x) be the third derivative of -x**6/40 + 11*x**5/2 - 323*x**4/8 + 107*x**3 - 69*x**2 + 3*x + 7. Suppose z(s) = 0. Calculate s.
1, 2, 107
Suppose 0 = 5*z + r + 3, 2*z - 2 = -0*z - 2*r. Let v be (21 - 29)/(3 + z) - -7. Suppose 0 - 1/3*h**4 + 1/3*h**v + 0*h**2 + 0*h = 0. Calculate h.
0, 1
Factor 251*r**2 - 162*r**2 + 88*r - r**3 - 137*r**2 + 3*r**3.
2*r*(r - 22)*(r - 2)
Factor -15680 - 5*r**3 - 1653*r**2 - 5040*r + 2993*r**2 - 1640*r**2.
-5*(r + 4)*(r + 28)**2
Let s(h) be the second derivative of -h**7/14 - h**6/10 + 3*h**5/4 + 5*h**4/4 - 2*h**3 - 6*h**2 - 46*h - 2. Let s(a) = 0. Calculate a.
-2, -1, 1, 2
Let o = -360 + 360. Factor -3*h**2 + o*h**2 - 261*h - 15*h - 6348.
-3*(h + 46)**2
Suppose 0 = 9*o - 12*o + 12. Let s(x) = 6*x - 3 - 2*x - 9*x**2 + 4. Let f(m) = -8*m**2 + 4*m + 1. Let y(j) = o*f(j) - 3*s(j). Factor y(b).
-(b - 1)*(5*b + 1)
Let x be ((-39)/2 - -3)*(-4)/(-6). Let u be (4/(-14) + -1)/(11/x). Solve -u*g**2 + 3/7*g**3 + 6/7*g + 0 = 0.
0, 1, 2
Let d(l) = -2*l**5 - l**4 - l**3 + l**2 - l - 1. Let n(a) = -15*a**5 + 99*a**4 - 699*a**3 + 1209*a**2 + 378*a - 1626. Let m(y) = -6*d(y) + n(y). Solve m(q) = 0.
-1, 2, 5, 27
Let f(o) = -9*o**2 + 66*o + 63. Let b(i) = 4*i**2 + i + 3. Let x(l) = -2*b(l) - f(l). Factor x(p).
(p - 69)*(p + 1)
Let f = -169 - -166. Let t be ((-1662)/112)/f - (-6)/(-16). Find k such that 2/7*k**2 - 16/7*k + t = 0.
4
Let z(m) = -895*m**2 - 7680*m - 7685. Let y(b) = 313*b**2 + 2560*b + 2562. Let p(r) = 20*y(r) + 7*z(r). Factor p(f).
-5*(f + 1)*(f + 511)
Let d(a) be the third derivative of -7*a - 7/120*a**4 + 0 - 1/300