9*q + 5/3*q**4 + 0. Determine a, given that t(a) = 0.
-7, 1
Let u(z) be the third derivative of -z**5/90 - 5*z**4/18 - 7*z**3/3 - 2*z**2 - 42. Factor u(p).
-2*(p + 3)*(p + 7)/3
Let n = -106 - -108. Factor n*y**3 + 95*y - 4*y**3 + y**4 + 5*y**3 - 99*y.
y*(y - 1)*(y + 2)**2
Solve -118*h**2 - 5*h**3 + 2000 + 11*h + 14*h - 125*h + 38*h**2 = 0.
-10, 4
Let j(x) = -14*x**2 + 140*x + 502. Let v(r) = -2*r**2 + 3*r - 3. Let w(u) = j(u) - 6*v(u). Determine y so that w(y) = 0.
-4, 65
Let i = 4330/31 - 8505/62. What is b in 0*b**3 - i*b**4 - 20*b + 15/2 + 15*b**2 = 0?
-3, 1
Factor -21*d + 3/5*d**2 + 882/5.
3*(d - 21)*(d - 14)/5
Suppose 2/13*t**3 + 116 + 1618/13*t + 112/13*t**2 = 0. Calculate t.
-29, -26, -1
Let l = 717826 - 717814. Let f be 262/24 - (-2)/(-8). Factor f*n + 4/3*n**2 - l.
4*(n - 1)*(n + 9)/3
Factor 160/7 - 4/7*c**3 + 24/7*c**2 + 144/7*c.
-4*(c - 10)*(c + 2)**2/7
Let l = 302381/21 - 14399. Let j(f) be the third derivative of -1/210*f**5 + 18*f**2 + 0 - 16/21*f**3 + 0*f + l*f**4. Factor j(p).
-2*(p - 4)**2/7
Let k(g) = -2*g - 1. Suppose -14*c + 36 = -12*c. Let l(n) = 2*n**2 - 66*n + 279. Let a(u) = c*k(u) - 2*l(u). Suppose a(z) = 0. Calculate z.
12
Let k = 1/91234 + 364931/456170. Factor -416/5*z - 256/5 - k*z**4 - 56/5*z**3 - 48*z**2.
-4*(z + 2)**3*(z + 8)/5
Suppose 217 + 1054 = 3*i + 2*b, 5*i + 4*b - 2115 = 0. Let x(a) = a**3 + 2*a**2 - 6*a + 28. Let t be x(7). Solve t + 5*f**2 + 10*f**3 - i - f**2 = 0 for f.
-2/5, 0
Let m(f) = -11*f**2 - 1 - f**3 - 16*f**2 - 6*f - 1 + 23*f**2. Let d be m(-2). Let -2 + 2 + 23*w**2 - d*w - 22*w**2 + w**3 = 0. What is w?
-2, 0, 1
Let h(f) be the third derivative of f**6/120 - f**5/15 - f**4/12 + 2*f**3 + 28*f**2. Let w be h(4). Factor w - 2 + 24*l - 2*l**3 + 3*l**3 - 9*l**2 - 18.
(l - 4)**2*(l - 1)
Let t(q) be the first derivative of 4*q**5/5 + 3*q**4 - 16*q**3/3 - 1051. Suppose t(d) = 0. Calculate d.
-4, 0, 1
Let t(x) be the first derivative of x**6/3 + 22*x**5 + 79*x**4 + 208*x**3/3 + 3419. Let t(j) = 0. Calculate j.
-52, -2, -1, 0
Factor -594/7 + 3/7*s**3 - 48/7*s**2 - 369/7*s.
3*(s - 22)*(s + 3)**2/7
Let j(p) = -p**2 + 10*p - 13. Let v be j(2). Suppose 9 = 3*c - i, -c + i + v = 6*i. Suppose -48/7*y + 32/7 + 24/7*y**2 - 4/7*y**c = 0. Calculate y.
2
Let u be 24 + (-2 - -2 - 5). Find c such that 17 + 66*c + 5*c**3 + 40*c**2 + u*c - 15 + 48 = 0.
-5, -2, -1
Let w be 0/(-38) - (-1 - (-29 + -1)). Let k be 4/(-6) - (w/3 - -3). Let 1 - 3*v**4 - k*v**3 - 1 - 13*v**5 + 16*v**5 = 0. What is v?
-1, 0, 2
Let x(k) = 23*k**2. Let z be x(1). Suppose -4*g + 3*v = -23, -z = g + 5*v - 0*v. Find a such that -39*a + 39*a - 5*a**3 - 2*a**g = 0.
-2/5, 0
Let f(s) = s**3 - s**2 - s - 1. Let h(a) be the first derivative of -5*a**4/2 - 2*a**3 + 21*a**2 + 62*a + 28. Let j(c) = -12*f(c) - h(c). Factor j(b).
-2*(b - 5)**2*(b + 1)
Let v(a) = -a**2 + 14*a - 20. Let m be v(5). Factor 8*w + 49*w**2 + 4*w**5 + 45*w**3 - 84*w**2 + 2*w + w**5 - m*w**4.
5*w*(w - 2)*(w - 1)**3
Let b(g) be the third derivative of -2*g**7/525 + 139*g**6/100 - 83*g**5/20 + 1243*g**4/240 - 69*g**3/20 + 4150*g**2. Factor b(i).
-(i - 207)*(2*i - 1)**3/10
Find z such that -2/7*z**3 + 2/7*z**5 + 0 + 10/7*z**4 - 10/7*z**2 + 0*z = 0.
-5, -1, 0, 1
Suppose -1291 = 7*r - 1312. Solve 29*z**3 - 46*z**r + 14*z**3 + 6*z**2 = 0.
0, 2
Factor -742 + 1490 - 21*v**3 + 19*v**3 + 306*v**2 + 308*v - 748.
-2*v*(v - 154)*(v + 1)
Let q(x) be the second derivative of x**6/30 + 81*x**5/20 + 233*x**4/3 + 550*x**3 + 1224*x**2 + 5970*x. Factor q(v).
(v + 1)*(v + 6)**2*(v + 68)
Let c(p) = 20*p - 1457. Let r be c(73). Let q = 10 + -8. Find k such that 152/3*k - 16/3 - 132*k**q + 54*k**r = 0.
2/9, 2
Factor 30165 - 73190*k**2 - 100970 - 5*k**4 - 66*k**3 + 142800*k + 1266*k**3.
-5*(k - 119)**2*(k - 1)**2
Let h(j) = 8*j**3 + 72*j**2 - 154*j + 8. Let k(z) = 43*z**3 + 359*z**2 - 769*z + 44. Let w(g) = 11*h(g) - 2*k(g). Factor w(c).
2*c*(c - 2)*(c + 39)
Let q(h) be the second derivative of -h**4 + 161*h**3/9 + 3*h**2 - 62*h. Factor q(w).
-2*(w - 9)*(18*w + 1)/3
Let h(z) = 3*z**3 + 75*z**2 + 672*z + 1914. Let r(s) = -6*s**3 - 151*s**2 - 1344*s - 3830. Let y(i) = 5*h(i) + 3*r(i). Determine c so that y(c) = 0.
-10, -8
Solve 4 - 37/9*m**2 - 35/9*m + 1/9*m**4 + 35/9*m**3 = 0 for m.
-36, -1, 1
Determine s so that -1014 + 3/2*s**4 - 39*s**3 + 495/2*s**2 + 156*s = 0.
-2, 2, 13
Let f(v) be the second derivative of 5*v**4/4 + 91*v**3 - 333*v**2/2 + 2583*v. Factor f(i).
3*(i + 37)*(5*i - 3)
Let 14*o**3 - 851*o**2 + 58*o**3 + 257*o**2 - 1348 + 730*o + 1214*o - 3*o**4 - 839 = 0. What is o?
3, 9
Let p(s) be the second derivative of 32/3*s**3 + s**5 - 29/6*s**4 - 1/15*s**6 - 12*s**2 + 0 - 202*s. Factor p(c).
-2*(c - 6)*(c - 2)*(c - 1)**2
Factor 34/13*m**2 + 200/13 + 160/13*m + 2/13*m**3.
2*(m + 2)*(m + 5)*(m + 10)/13
Let y(c) be the second derivative of c**6/60 + 11*c**5/10 - 121*c**4/12 + 13*c**3 + 441*c**2/4 + 10*c - 8. Suppose y(s) = 0. Calculate s.
-49, -1, 3
Let m(t) = t**2 + t - 1. Let l(w) = -w**3 + 7*w**2 - 11*w + 99. Let s(d) = -l(d) + m(d). Let i(v) be the first derivative of s(v). Factor i(h).
3*(h - 2)**2
Let q(b) be the first derivative of b**4/4 - 27*b**3 + 118*b**2 - 156*b + 1772. Let q(a) = 0. Calculate a.
1, 2, 78
Let k(x) = -1018*x**2 + x + 2. Let p be k(-1). Let f = p - -5089/5. Factor 2/3*u - 2/15*u**2 - f.
-2*(u - 3)*(u - 2)/15
Let b = 341/15 + -68/3. Let s(n) be the second derivative of -1/3*n**2 + 0 - b*n**5 - 13/36*n**4 - 11/18*n**3 + 15*n. Factor s(q).
-(q + 1)*(q + 2)*(4*q + 1)/3
Suppose 13*p - 52 = -0*p. Suppose 0 = 2*a + n - 108, -p = -0*n - n. Factor a*j**3 - 3 + 56*j**3 - 96*j**3 + 12*j - 18*j**2 - 3*j**4.
-3*(j - 1)**4
Let n(o) be the second derivative of -2*o**5/5 - 11*o**4 - 10*o**3 + 32*o**2 - 356*o. Factor n(p).
-4*(p + 1)*(p + 16)*(2*p - 1)
Let x(v) = v**3 - 25*v**2 + 26*v - 44. Let g be x(24). Factor -48 + 3*o**g + 82*o - 25 + 33 - 42*o**2 - o**4 - 2*o**3.
2*(o - 4)*(o - 1)**2*(o + 5)
Let s(f) = -13*f**3 - 539*f**2 + 40*f + 218. Let y(u) = -u**3 + u - 1. Let h(g) = s(g) + 2*y(g). Determine m, given that h(m) = 0.
-36, -3/5, 2/3
Suppose -h + 0 = -5. Suppose 5*v + 5*t = v + 94, h*t = -2*v + 42. Factor -v*x + 5 + 10*x - 5*x**2 + 16*x.
-5*(x - 1)*(x + 1)
Factor -496812*a + a**2 + 2*a**2 + 2628288 + 491196*a.
3*(a - 936)**2
Suppose -5*i**4 - 92*i**3 + 233*i**2 - 2*i**4 + 1639*i**2 + 3*i**4 = 0. Calculate i.
-36, 0, 13
Suppose 1165*o**2 + 393*o - 4022 + 1272*o - 5*o**4 + 4742 + 215*o**3 = 0. What is o?
-3, -1, 48
Let g(v) be the first derivative of v**6/9 + 22*v**5/45 - 11*v**4/9 - 4*v**3/9 + 19*v**2/9 - 10*v/9 + 849. Let g(y) = 0. What is y?
-5, -1, 1/3, 1
Let d = 261 - 11. Let z be d/20*6*1. Factor -2 - 1 + 30*i**4 + 21 - 3*i**5 - z*i + 120*i**2 - 90*i**3.
-3*(i - 6)*(i - 1)**4
Let y(o) be the second derivative of o**5/4 - 205*o**4 + 67240*o**3 - 11027360*o**2 + 1111*o. Factor y(c).
5*(c - 164)**3
Suppose 4*b = -9*b + 26. Determine u so that 3*u**b - 8*u**2 - 3*u**2 - 87*u + 11*u**2 = 0.
0, 29
What is z in 110123 - 379*z + z**2 + 999*z - 14023 = 0?
-310
Suppose x - 9 = -2*x. Let n(l) = 4*l**2 - 99*l + 12. Let i be n(34). Solve 6 + 26 + i*o**2 + 368*o - 126*o**2 + 484*o**x = 0.
-2, -2/11
Suppose 3*h = -1 + 22. Suppose i - h = -3*r, -3*i - 10*r + 5*r + 17 = 0. Suppose -6*s**2 + 18/5*s + 0 + 14/5*s**3 - 2/5*s**i = 0. Calculate s.
0, 1, 3
Let d(h) = -285*h**3 + 170*h**2 + 175*h. Let v(j) = 4*j**3 - j**2 - j. Let o(m) = d(m) + 70*v(m). Suppose o(f) = 0. Calculate f.
-1, 0, 21
Let p be (-36)/(-35) + ((-3)/13)/((-1110)/(-2886)). Let m(r) = r**2 - 13*r - 12. Let b be m(14). Factor -p*t**b - 3/7 - 6/7*t.
-3*(t + 1)**2/7
Let z(s) be the second derivative of -14/9*s**3 + 14*s - 4/3*s**2 - 4/9*s**4 + 4/15*s**5 + 3. Let z(y) = 0. Calculate y.
-1/2, 2
Let j(m) be the first derivative of 5 - 17/6*m**2 + 289/6*m + 1/18*m**3. Let j(q) = 0. Calculate q.
17
Let z(p) be the second derivative of 119*p + 1 - 100/3*p**3 - 20/3*p**4 - 250/3*p**2 - 8/15*p**5. Factor z(k).
-4*(2*k + 5)**3/3
Let b(s) be the first derivative of 6*s**6 - 19656*s**5/5 + 665832*s**4 + 16137536*s**3/9 + 5396704*s**2/3 + 2402432*s/3 - 205. What is q in b(q) = 0?
-2/3, 274
Let i = 38 - 34. Let h be (10/(-3))/(i/(-6) + 0). Solve -h*j**4 + 150*j - 359*j**2 + 475*j - 16*j**2 + 75*j**3 = 0.
0, 5
Let p = 55027/48 + -1146. Let t(b) be t