(s) - 5*h(s). Factor m(f).
-3*(f - 1)*(f + 1)*(f + 4)**2
Suppose n + 2*n - 18 = 0. Factor -5*m - 3*m + m + m**2 - n + 18.
(m - 4)*(m - 3)
Suppose 11*z - 60 = 6*z. Suppose 9*o + 6 = z*o. Solve x**4 + 2*x + 4*x**5 + 4*x**5 - x**o - 7*x**5 - 3*x**3 = 0.
-2, -1, 0, 1
Let z(w) be the first derivative of -w**3/9 + 82*w**2/3 + 167*w + 2649. Find h such that z(h) = 0.
-3, 167
Let f(b) = -896*b - 8947. Let x be f(-10). Solve 40*p**3 - 11/4*p - 13/2 + x*p**4 + 59/2*p**2 - 5/4*p**5 = 0 for p.
-1, 2/5, 13
Let w(r) be the second derivative of -7*r + 3/100*r**5 + 1/4*r**4 + 4/5*r**3 + 6/5*r**2 - 5. Determine a, given that w(a) = 0.
-2, -1
Let j(f) = 5*f**4 - 90*f**3 + 200*f**2 + 125*f + 5. Let m(p) = p**4 - p**3 - 1. Let x be 6/(-21) + (1 - 12/7). Let b(s) = x*j(s) - 5*m(s). Factor b(t).
-5*t*(t - 5)**2*(2*t + 1)
Suppose h + 33 = 5*w + 470, 0 = w + 2*h + 94. Let u be 6*7/98 - w/7. Factor 9*k - 11*k + k**3 + 37*k + u*k - 36 - 13*k**2.
(k - 6)**2*(k - 1)
Let h(j) be the first derivative of -j**3 - 2*j**2 + 2*j - 18. Let b(s) = 4*s**2 + 4*s - 3. Let u(q) = -2*b(q) - 3*h(q). Solve u(k) = 0 for k.
-4, 0
Let x(k) be the first derivative of 10*k**5/13 - 5*k**4/2 + 8*k**3/13 + 44*k**2/13 - 32*k/13 - 747. Suppose x(d) = 0. Calculate d.
-4/5, 2/5, 1, 2
Let m = -526 - -528. Solve m*n + 5 + 2*n - 6*n - 4*n + n**2 + 0 = 0 for n.
1, 5
Let p be (-1 + -7)/(2/(-4)). Suppose 5*m = -1 + p. Let -5*z**2 + 16*z**m + 8*z + 214 - 4*z**4 - 214 - 15*z**2 = 0. Calculate z.
0, 1, 2
Let u be ((-265116)/96)/(15/(-12)). Let m = 2210 - u. Factor 0 + 7/10*p + 1/10*p**4 - m*p**3 - 1/10*p**2.
p*(p - 7)*(p - 1)*(p + 1)/10
Let f(d) be the second derivative of -d**5/10 + 455*d**4/6 + d**3/3 - 455*d**2 - 232*d + 9. Determine i, given that f(i) = 0.
-1, 1, 455
Let l(c) be the third derivative of -c**5/150 + c**4/3 + 23*c**3/5 - 897*c**2. Suppose l(u) = 0. Calculate u.
-3, 23
Let g(a) be the third derivative of -a**3 + 2*a**2 + 3/40*a**5 + 1/40*a**6 + 0*a - 1/140*a**7 - 1/4*a**4 + 43. Factor g(s).
-3*(s - 2)**2*(s + 1)**2/2
Suppose 3*j + 5*l = 44, 3*j + 3*l = -0*l + 54. Let a = 23 - j. Factor 141*x - 4*x**3 - x**4 + x**3 - 137*x + a*x**4.
-x*(x - 1)*(x + 2)**2
Let z(j) = -j**3 + 7*j**2 - 2*j + 53. Let q be z(8). Let p be (q/(-15))/3 - (-9)/(-30). Factor 1/10*u**3 + 1/5*u + 0 - p*u**2.
u*(u - 2)*(u - 1)/10
Let m(h) be the second derivative of -h**5/60 + h**4/12 + 4*h**3/3 + 15*h**2 - 2*h - 4. Let u(r) be the first derivative of m(r). Solve u(v) = 0 for v.
-2, 4
Let i(o) = 33*o + 7. Let w be i(2). Let a = w + -57. Determine q so that -12*q**2 - 8*q**3 - q**4 + a + 16*q + 0*q**4 + 5*q**4 = 0.
-1, 2
Factor 0 + 0*j - 7*j**3 + 1/3*j**4 + 110/3*j**2.
j**2*(j - 11)*(j - 10)/3
Suppose 714*x = 4464*x - 3284 - 4216. Suppose 27/4*b**x - 55/4*b**3 + 0 - 1/2*b = 0. What is b?
0, 1/11, 2/5
Let r(t) be the first derivative of t**3/7 + 3915*t**2/7 + 5109075*t/7 - 4740. Find n such that r(n) = 0.
-1305
Let u(f) be the second derivative of -7*f**5/20 + 29*f**4/12 - 37*f**3/6 + 15*f**2/2 + 30*f. Determine r, given that u(r) = 0.
1, 15/7
Suppose -231 + 78 = -9*v. Suppose 41 = 12*c + v. Factor -1 + 2*r**c + 5/2*r - 3/2*r**3.
-(r - 2)*(r + 1)*(3*r - 1)/2
Let y(i) be the second derivative of 7*i**7/18 + 973*i**6/45 + 17179*i**5/60 - 22289*i**4/18 - 8614*i**3/9 + 21316*i**2/3 + 467*i. Find f, given that y(f) = 0.
-146/7, -1, 1, 2
Suppose 0 = 4*w + 7*w - 803. Solve w*q - 3*q**3 - 33*q - 12*q**2 - 52*q = 0 for q.
-2, 0
Let f(y) be the first derivative of -1/15*y**6 + 12/5*y + 0*y**3 - 8 + 11/5*y**2 - 12/25*y**5 - y**4. Suppose f(s) = 0. What is s?
-3, -2, -1, 1
Let b = 3341 + -3336. Let s(g) be the first derivative of -1/6*g**4 - 14/9*g**3 - 6*g - b*g**2 - 4. Solve s(u) = 0.
-3, -1
Let x = 70 + -68. Suppose -58*o + 10 - 13 + 83*o - 17 - 5*o**x = 0. What is o?
1, 4
Let p(o) be the first derivative of 2*o - 1/6*o**3 + 1/8*o**4 - o**2 - 31. Factor p(d).
(d - 2)*(d - 1)*(d + 2)/2
Let p(s) be the third derivative of -289/12*s**3 + 0*s + 17/24*s**4 - 1/120*s**5 - 2*s**2 - 28. Suppose p(x) = 0. Calculate x.
17
Let d(x) = 3*x**2 - 305*x + 312. Let j(n) = 25*n**2 - 2135*n + 2185. Let l(q) = 15*d(q) - 2*j(q). Factor l(a).
-5*(a - 1)*(a + 62)
Let q = 22560 + -22560. Let i(o) be the third derivative of -33*o**2 - 1/2*o**4 + q*o - 1/35*o**7 - 11/30*o**6 + 0 + 0*o**3 - 5/6*o**5. Factor i(f).
-2*f*(f + 1)*(f + 6)*(3*f + 1)
Let m = 134 - 132. Factor -120 - 7*z**2 - 1355*z + 2*z**m + 1480*z.
-5*(z - 24)*(z - 1)
Let b(j) = 4*j**4 - 164*j**3 - 508*j**2 - 8*j - 4. Let h(w) = 4*w**4 - 162*w**3 - 507*w**2 - 6*w - 3. Let x(k) = 3*b(k) - 4*h(k). Find o such that x(o) = 0.
-3, 0, 42
Let p(t) be the first derivative of -2*t**3/33 + 51*t**2/11 + 1968. Factor p(g).
-2*g*(g - 51)/11
Let -37*f - 62*f**2 - 78*f - 3*f**3 + 14*f**2 - 15*f - 74*f - 240 = 0. Calculate f.
-10, -4, -2
Suppose 116248*q - 9232*q**2 - 120856*q - 961*q**4 - 5792*q**3 - 211*q**4 - 4*q**5 = 0. Calculate q.
-288, -2, -1, 0
Suppose 8*y = -5*h + 6*y - 1435, 0 = -3*h - y - 860. Let q be ((-19)/h)/(9/90). Find p, given that q*p + 0 + 8/15*p**2 = 0.
-5/4, 0
Let m(k) be the second derivative of 1/120*k**6 + 0*k**2 - 11/6*k**3 - 3*k + 1/2*k**4 - 1/10*k**5 + 0. Let y(w) be the second derivative of m(w). Factor y(f).
3*(f - 2)**2
Let s(u) = -8*u**3 - 4*u**2 + 5493*u + 5496. Let l be s(-1). Factor l*z**2 + 1/2*z**4 + 0 + 7/2*z**3 + 4*z.
z*(z + 1)*(z + 2)*(z + 4)/2
Factor 387096/5 - 2/5*r**3 - 125984/5*r - 202*r**2.
-2*(r - 3)*(r + 254)**2/5
Let w(z) be the second derivative of z**4/20 - 24*z**3/5 + 864*z**2/5 + 7*z - 3. Factor w(r).
3*(r - 24)**2/5
Let z(l) = -85*l**2 - 7060*l + 6995. Let w(j) = -23*j**2 - 1765*j + 1748. Let f(y) = 15*w(y) - 4*z(y). Factor f(c).
-5*(c - 352)*(c - 1)
What is h in 74/3*h**3 + 0 - 62*h**2 - 2*h**4 + 18*h = 0?
0, 1/3, 3, 9
Suppose 2299*f + 428 = 2406*f. Find v such that -6/5*v**2 - 6/5*v**3 - 2/5*v - 2/5*v**f + 0 = 0.
-1, 0
Determine i so that 326*i + 57*i**2 - 791 + 3*i**2 - 2881*i - 284 = 0.
-5/12, 43
Let d(a) = 10*a + 194. Let k be d(-19). Suppose 194*i + k = 196*i. Determine r so that -6/5*r + 2/5*r**i + 4/5 = 0.
1, 2
Let i be (-1 + 5 + -1)*10/15. Let j be 0/(i + 3 + -3). Suppose -16/11*a**4 - 48/11*a**3 - 32/11*a - 2/11*a**5 - 64/11*a**2 + j = 0. What is a?
-2, 0
Let q = 7 + -7. Suppose q*r - 19 = -3*u + 2*r, u - 5*r = 28. Factor -y**2 - 4*y + 6*y + u*y**2 - 14*y.
2*y*(y - 6)
Let p = -3412383/5 + 682501. Determine r, given that -4/5 - p*r - 198/5*r**3 + 324/5*r**2 = 0.
-1/33, 2/3, 1
Let -x**4 - 77584 - 3*x**4 + 21*x**3 + 15*x**3 + 2*x**4 + 77968 - 186*x**2 + 160*x = 0. What is x?
-1, 3, 8
Let q(x) be the third derivative of -7/12*x**5 - 115/3*x**3 + x**2 + 0*x + 815/24*x**4 + 9. Factor q(r).
-5*(r - 23)*(7*r - 2)
Let f(m) be the second derivative of m**4/6 - 212*m**3/3 + 420*m**2 + 6533*m. Factor f(g).
2*(g - 210)*(g - 2)
Let u(k) be the first derivative of -2*k**5/5 - 12*k**4 - 78*k**3 + 338*k**2 - 1439. Suppose u(a) = 0. What is a?
-13, 0, 2
Let g be (-48)/15*(-14 - 204/(-16)). What is w in 1/4*w**g + 2*w**3 + 25/4 - 10*w + 3/2*w**2 = 0?
-5, 1
Let z = -39 - -41. Suppose -4*j = -2*t + 10 - 22, -4*t + 26 = z*j. Factor t - 4/5*x**3 + 36/5*x + 12/5*x**2.
-4*(x - 5)*(x + 1)**2/5
Let t(g) = 34*g + 183. Let u be t(-5). Let o be 3 - (2 + u/(-3))*-1. Factor 2/3*d**3 - o*d + 2/3*d**4 + 0 - 2/3*d**2.
2*d*(d - 1)*(d + 1)**2/3
Let a(y) be the first derivative of y**5/40 - 11*y**4/4 + 29*y**3/8 + 354. Determine w, given that a(w) = 0.
0, 1, 87
Suppose -12*j + 3*m = -13*j + 6, 4*m = -12. Let z(c) be the second derivative of 0 - j*c + 2/3*c**4 - 4*c**2 - 5*c**3. Factor z(y).
2*(y - 4)*(4*y + 1)
Let g(v) be the second derivative of -v**4/30 - 11*v**3/15 + 522*v**2/5 - 3808*v. Factor g(x).
-2*(x - 18)*(x + 29)/5
Let l(j) be the second derivative of -48*j**5/5 + 47*j**4/3 + 2*j**3/3 + 1146*j + 2. Factor l(b).
-4*b*(b - 1)*(48*b + 1)
Let a(d) = -9*d**3 + 219*d**2 + 456*d - 3. Let f(h) = -29*h**3 + 656*h**2 + 1368*h - 10. Let t(q) = 10*a(q) - 3*f(q). Let t(z) = 0. Calculate z.
-2, 0, 76
Let u(w) be the third derivative of w**7/525 + 2*w**6 + 1825*w**2. Find v, given that u(v) = 0.
-600, 0
Suppose -56 + 95 = 39*b. Let t be -7 + b*(-249)/(-33). Factor -t*i - 2/11*i**5 + 9/11*i**4 + 14/11*i**2 - 16/11*i**3 + 1/11.
-(i - 1)**4*(2*i - 1)/11
Let d = -690 + 691. Let j be (5 - (d 