+ 5 = q + 13, -3*t + 14 = -4*q. Let x be (q/11)/((-4)/44). Factor 12*j - 3*j - 4*j**x + 8*j - j + 16 - 4*j**3.
-4*(j - 2)*(j + 1)*(j + 2)
Let q be (-5 - -6)*86/2. Let c be 8/1 + (35 - q). Suppose 4/5*s**5 - 8/5*s**3 + c + 4/5*s + 0*s**4 + 0*s**2 = 0. Calculate s.
-1, 0, 1
Let g(k) be the third derivative of k**7/42 + k**6/5 - 4*k**5/15 + 12*k**3 + 99*k**2. Let h(x) be the first derivative of g(x). Suppose h(r) = 0. Calculate r.
-4, 0, 2/5
Suppose -4*s + 25 = b, -4*s + 30 = b + b. Suppose 5*x = b*w + 5, 2*w = -4*x + 5*w + 5. Factor 2*g**3 + 0*g**3 - 14*g - 8 - 34*g**x + 30*g**2.
2*(g - 4)*(g + 1)**2
Let h be (-3)/(27/(-4)) + (311/9 - 23). Solve h*d + 4/7*d**2 + 80/7 = 0.
-20, -1
Let v be 15/720*-56*(-2)/14. Let p(h) be the third derivative of 0*h**3 - v*h**4 + 24*h**2 + 0*h + 0 - 1/30*h**5. Solve p(u) = 0.
-2, 0
Factor 381*y**2 + 209 + 461 - 345*y - 376*y**2.
5*(y - 67)*(y - 2)
Let w be ((-39)/(-351))/(608/576). Factor -w*k**2 - 8/19*k + 0.
-2*k*(k + 4)/19
Factor 0*b - 1/6*b**2 + 25/6.
-(b - 5)*(b + 5)/6
Let u(f) be the first derivative of 4/3*f**3 - 1/2*f**2 + 1/4*f**4 - 4*f + 67. Factor u(r).
(r - 1)*(r + 1)*(r + 4)
Let j(h) be the third derivative of -h**6/300 - h**5/30 - h**4/20 + 3*h**3/5 - 20*h**2 - 6*h. Factor j(q).
-2*(q - 1)*(q + 3)**2/5
Let g = 2415/8 + -14025/56. Find x, given that -1/7*x**3 - 37/7*x**2 - g*x - 324/7 = 0.
-18, -1
Let r(o) = o**3 - 4*o**2 - 4*o - 2. Let n = -420 - -421. Let m(a) = -a**2 - 2. Let y(s) = n*m(s) - r(s). Factor y(l).
-l*(l - 4)*(l + 1)
Let v(r) be the first derivative of r**3 - 27*r**2/2 + 42*r + 1873. Determine y so that v(y) = 0.
2, 7
Let s be 0/3 - 10 - 3. Let u = 17 + s. Factor 0 + 0 + 4*j - 4 + j**2 - u*j**3 + 3*j**2.
-4*(j - 1)**2*(j + 1)
Factor -6*h**2 + 66 - 14*h**2 - 160*h + 300*h + 150 + 208*h.
-4*(h - 18)*(5*h + 3)
Let z(y) be the third derivative of y**9/211680 - y**8/70560 - 23*y**5/60 - y**3/6 + 104*y**2. Let c(m) be the third derivative of z(m). Factor c(d).
2*d**2*(d - 1)/7
Factor -10201/2 - 101*s - 1/2*s**2.
-(s + 101)**2/2
Let s(k) = 18*k + 14. Let l be s(0). Let b be (8/l)/(220/154). What is w in -4/5*w - 2/5 - b*w**2 = 0?
-1
Let k(b) = -2*b**2 - 19*b - 12. Let c be k(-6). Let z be c/(-4)*71/(-1420). Let 0*o + 1/8*o**3 - 1/2 + z*o**2 = 0. What is o?
-2, 1
Let f(w) be the second derivative of w**5/5 + 32*w**4/3 + 458*w**3/3 + 396*w**2 + 2487*w + 1. Factor f(d).
4*(d + 1)*(d + 9)*(d + 22)
Factor -2/7*b**2 - 582/7*b + 584/7.
-2*(b - 1)*(b + 292)/7
Let v(n) = n**2 - 30*n + 190. Let r be v(6). Let 59*a**2 + 119*a + r*a - 54*a**2 = 0. Calculate a.
-33, 0
Let g(o) be the second derivative of o**4/3 - 20*o**3/3 - 150*o**2 + 621*o + 1. Factor g(q).
4*(q - 15)*(q + 5)
Let b(m) = 3*m**3 + m**2 - m + 3. Let n(d) = 5*d**4 + 406*d**3 + 8742*d**2 + 28878*d + 6. Let v(k) = -2*b(k) + n(k). Factor v(j).
5*j*(j + 4)*(j + 38)**2
Suppose -3*o + 3*m - 124 = -2*o, -o - 154 = 3*m. Let y = o - -159. Factor y*l + 6*l - 14 + 4*l**2 - 2*l**2 - 14*l.
2*(l - 1)*(l + 7)
Let o = -59521 - -298757/5. Let -2/5*d**2 - 96/5*d - o = 0. What is d?
-24
Let q(d) be the first derivative of -d**4/12 - 19*d**3/3 - 37*d**2/2 - 160*d + 244. Let c(w) be the first derivative of q(w). Factor c(s).
-(s + 1)*(s + 37)
Let i(z) be the third derivative of -4/9*z**3 + 1/315*z**7 + 11/36*z**4 - 1/10*z**5 + 1/180*z**6 + 1 - 3*z**2 + 0*z. Determine u so that i(u) = 0.
-4, 1
Let u(o) be the third derivative of -o**8/168 + 58*o**7/735 - 9*o**6/28 + 52*o**5/105 - 5*o**4/21 + 3279*o**2. Determine q so that u(q) = 0.
0, 2/7, 1, 2, 5
Let x(j) = -10*j**2 + 216*j - 622. Let s(o) = -8*o**2 + 217*o - 627. Let c(v) = 4*s(v) - 3*x(v). Let c(g) = 0. Calculate g.
3, 107
Let t(h) be the second derivative of -h**7/1008 - 5*h**6/96 - 13*h**5/24 - 53*h**4/4 + 2*h - 34. Let i(v) be the third derivative of t(v). Factor i(x).
-5*(x + 2)*(x + 13)/2
Suppose -4*k + 32 = 4*d, -k = 4*d + 2*k - 27. Factor 82*s - 305*s**2 - 327*s + 9*s**3 + 11*s**d + 80.
5*(s - 16)*(s + 1)*(4*s - 1)
Let o(u) be the third derivative of u**5/20 + 375*u**4/4 + 140625*u**3/2 + 893*u**2 - 2*u. Factor o(r).
3*(r + 375)**2
Let q = 2587 - 1698. Suppose 870*t + 38 = q*t. Solve -5/4*s**t + 5/8 - 1/8*s**5 - 1/8*s + 5/8*s**4 + 1/4*s**3 = 0 for s.
-1, 1, 5
Let i(a) = 2*a**4 + 175*a**3 - 5*a**2 - 172*a - 3. Let t(y) = 3*y**4 + 348*y**3 - 8*y**2 - 343*y - 5. Let r(g) = 15*i(g) - 9*t(g). Solve r(n) = 0 for n.
-1, 0, 1, 169
Let q be (-2)/(-46) - (-91014)/24794. Let v(j) be the second derivative of q*j**3 + 9/7*j**2 + 169/42*j**4 + 0 + 31*j. Factor v(f).
2*(13*f + 3)**2/7
Let n = 219007/2 + -109496. Factor 5/4*m**3 + 0 + 0*m + n*m**2 - 5/4*m**4.
-5*m**2*(m - 3)*(m + 2)/4
Suppose -119 = -7*m + 49. Factor -2 + 14*j**2 - 23 - 60*j + 7 + m*j.
2*(j - 3)*(7*j + 3)
Determine o, given that 179*o + 1/3*o**2 + 536/3 = 0.
-536, -1
Let q(m) be the second derivative of 22*m + 0 + 25/42*m**4 - 4/7*m**2 - 41/35*m**5 + 16/21*m**3 + 3/7*m**6. Solve q(u) = 0.
-2/5, 2/9, 1
Let m = -252 - -62. Let o = -190 - m. Factor 13/6*f**3 + 1/3*f**2 + o*f + 0 + 11/6*f**4.
f**2*(f + 1)*(11*f + 2)/6
Let z(y) be the second derivative of 7*y**6/30 + 9*y**5/4 + 7*y**4/3 - 24*y**3 + 32*y**2 - 3*y - 394. Factor z(j).
(j - 1)*(j + 4)**2*(7*j - 4)
Factor 218 + 118 - 523538*h**4 - 76*h**3 + 196*h**2 + 523534*h**4 + 604*h.
-4*(h - 4)*(h + 1)**2*(h + 21)
Let k be (100/40)/((-3)/(-6)). Factor -15*u + 4*u - u**2 - k*u + 3*u + u - 35.
-(u + 5)*(u + 7)
Suppose 0 = -2*d - 14*g + 10*g, 3*g = -3. Find a, given that a**d + 370 - 22*a - 350 + a**2 = 0.
1, 10
Let o(m) be the second derivative of -m**8/336 - m**7/70 + m**5/15 + 263*m**2/2 - m + 98. Let y(d) be the first derivative of o(d). Factor y(x).
-x**2*(x - 1)*(x + 2)**2
Let w = 615070/7 + -87867. Determine q so that 1/7*q**3 + 12/7 - 13/7*q**2 - 1/7*q + w*q**4 = 0.
-4, -1, 1, 3
Let j(r) = -r**2. Suppose 23 = 6*v - 85. Let g(o) be the third derivative of -o**6/120 + o**5/6 + o**4/12 + 2*o**2. Let b(n) = v*j(n) + 2*g(n). Factor b(c).
-2*c*(c - 2)*(c + 1)
What is r in -789*r**4 + 250*r - 876*r**3 - 115*r**5 - 629*r**4 - 2187*r**2 + 261*r**3 + 493*r**4 + 7912*r**2 = 0?
-5, -1/23, 0, 2
Suppose 0*d**3 - 8 - 10/3*d + 5*d**2 - 1/3*d**4 = 0. What is d?
-4, -1, 2, 3
Let x = -428 - -430. Determine i so that 0*i**x - 32 - 8*i + 39 + i**2 = 0.
1, 7
Factor 71 - 7*x**2 + 39 + 38 - x**2 + 4*x**2 + 144*x.
-4*(x - 37)*(x + 1)
Let r(t) = -t**3 + 40*t**2 - 40*t - 149. Let g(h) = -2 + 2*h**2 - 27*h + 6*h**2 + 19*h + 4 - 32. Let z(n) = 22*g(n) - 4*r(n). Determine f, given that z(f) = 0.
-4, -2, 2
Let c(j) be the first derivative of -j**5 - 115*j**4/4 + 380*j**3/3 - 130*j**2 + 1059. Let c(d) = 0. What is d?
-26, 0, 1, 2
Let j(i) = -i**2 - 4*i + 23. Suppose x + 6 = -k - 0*x, -2*x + 23 = -3*k. Let b be j(k). Factor -4*n**3 + 4*n**4 - 12*n**2 - 5*n**2 - 3*n**b - 12*n.
4*n*(n - 3)*(n + 1)**2
Suppose 1777*f - 1804*f + 81 = 0. Let r(d) be the second derivative of -6*d**2 + 0 + 27*d - 1/3*d**f - 1/120*d**5 + 5/36*d**4. Factor r(v).
-(v - 6)**2*(v + 2)/6
Suppose 26623320*t + 3907768 - 3025541 - 25979742 + 3*t**3 + 17877*t**2 - 1543685 = 0. Calculate t.
-2980, 1
Factor -26*m - 2/11*m**2 - 840/11.
-2*(m + 3)*(m + 140)/11
Factor 4/3*m**4 - 32/3*m**2 + 0*m + 28/3*m**3 + 0.
4*m**2*(m - 1)*(m + 8)/3
Let j(p) be the first derivative of 21 - 125*p**2 + 25*p**3 + 37*p - 5/2*p**4 + 1/10*p**5. Let n(a) be the first derivative of j(a). What is t in n(t) = 0?
5
Let d(a) be the third derivative of -5 - 2*a**2 + 0*a**3 + 1/420*a**6 + 1/735*a**7 - 1/42*a**5 + 1/28*a**4 + 0*a. Determine r so that d(r) = 0.
-3, 0, 1
Let t(l) = -9*l + 3. Let u be t(0). Determine f so that -45*f**4 + 116376*f**2 - 116376*f**2 + 40*f**u + 5*f**5 = 0.
0, 1, 8
Let t be 145013/(-121) + -15 - (-12)/(-22). Let r = t - -1217. Factor -6/5*y - 1/10*y**r - 3/5*y**2 - 4/5.
-(y + 2)**3/10
Let c = -456502/5 + 91302. Factor 4/5 + 4/5*k**2 - c*k.
4*(k - 1)**2/5
Factor -7/2*k**3 - 1/4*k**4 + 32*k - 8*k**2 + 0.
-k*(k - 2)*(k + 8)**2/4
Let u(d) = d**4 + 3*d**3 + 5*d**2 + 1. Let k(t) = 6*t**4 + 29*t**3 + 14*t**2 + 18*t + 7. Let q(f) = 3*k(f) - 21*u(f). What is y in q(y) = 0?
0, 2, 3
Let x(k) be the second derivative of 12*k - 8*k**2 - 3/10*k**5 + 11/6*k**4 + 0 + 2*k**3. Determine s, given that x(s) = 0.
-1, 2/3, 4
Factor 58*y**2 + 350 - 216*y + 412*y - 63*y**2 - 211*y.
-5*(y - 7)*(