s.
-2, 0, 5
Let f(u) be the third derivative of 7*u**7/225 + 12089*u**6/450 - 6914*u**5/225 + 494*u**4/45 + 17*u**2 + 5*u + 3. Factor f(i).
2*i*(i + 494)*(7*i - 2)**2/15
Let q(b) be the second derivative of b**7/21 + 23*b**6/40 + 149*b**5/80 - 11*b**4/8 - 32*b**3/3 + 12*b**2 + 1490*b + 1. Let q(y) = 0. Calculate y.
-4, -2, 3/8, 1
Let h(z) be the first derivative of -z**6/21 - 92*z**5/35 - 303*z**4/7 - 1080*z**3/7 + 297*z**2 + 2268*z + 7557. Determine n so that h(n) = 0.
-21, -3, 2
Let h(o) be the second derivative of 0*o**2 + 0*o**3 - 46*o + 65/12*o**4 + 1 + 1/4*o**5. Suppose h(a) = 0. Calculate a.
-13, 0
Suppose -2*m - a = -4*a - 36, 0 = -m - a + 18. Let j = m - 18. Factor -5/4 + 5/4*g**2 + j*g.
5*(g - 1)*(g + 1)/4
Let b = 348 + -346. What is r in 82*r**b + 91*r**2 + 11*r - 157*r**2 + 7*r**3 + 2 = 0?
-1, -2/7
Let q(o) = -2*o**3 - 3*o**2 - 3*o. Let l be q(-1). Solve -6*a**3 - a**4 + 7696*a - 7696*a - 9*a**l = 0 for a.
-3, 0
Let u = 28 + -19. Let c(f) = f**3 + 69*f**2 + 67*f - 66. Let m be c(-68). Determine i, given that 3/2*i + u - 6*i**m + 3/2*i**3 = 0.
-1, 2, 3
Let i(b) = -7*b + 513. Let f(q) = 3*q - 170. Let g(n) = -11*f(n) - 4*i(n). Let x be g(-37). Factor 2/5 + 6/5*s**2 - 6/5*s - 2/5*s**x.
-2*(s - 1)**3/5
Let x(f) be the first derivative of f**4/12 + 8*f**3/3 + 101*f**2/6 + 38*f + 2798. Factor x(t).
(t + 2)*(t + 3)*(t + 19)/3
Suppose -47*i - 13 = -107. Determine t so that 227*t**3 + 24*t**i - 107*t**3 + 20*t - 116*t**3 = 0.
-5, -1, 0
Let q(v) be the second derivative of 2*v**7/21 + 41*v**6/30 + 63*v**5/10 + 157*v**4/12 + 40*v**3/3 + 6*v**2 - 4989*v. Solve q(a) = 0.
-6, -2, -1, -1/4
Factor -35*m**2 - 38*m**2 + 3*m**3 - 36 - 19*m**2 + 95*m**2 - 24*m.
3*(m - 3)*(m + 2)**2
Suppose 0 = -0*t - 27*t + 9531. Factor -3*y**4 + t*y - 190*y - 79*y + 36*y**3 - 27 - 90*y**2.
-3*(y - 9)*(y - 1)**3
Suppose -20*s = -25 - 55. Let l(f) be the second derivative of 3*f + 0*f**3 - 1/3*f**s + 0 + 2*f**2. Solve l(o) = 0 for o.
-1, 1
Factor 404*k + 0*k**2 - 788*k + 540*k + 114 + 2928 + 2*k**2.
2*(k + 39)**2
Let u(x) = 6*x**3 - 3*x**2 - 679*x + 680. Let o be u(1). Find y, given that -17/5*y**o - 78/5*y**3 - 1/5*y**5 + 0 - 32/5*y**2 + 128/5*y = 0.
-8, -2, 0, 1
Let r(i) = 2*i**2 + 43*i - 11. Let z be r(-22). Suppose z*k - 13*k + 4 = 0. Factor 20*y + 10*y**2 + 40 - 5*y**5 + 20*y**4 - 60*y**2 - 3*y**3 - k*y**3.
-5*(y - 2)**3*(y + 1)**2
Let p = 3/6817 + 13619/34085. Let a(v) be the second derivative of p*v**3 - 9/100*v**5 + 1/25*v**6 + 0*v**2 - 1/5*v**4 + 0 + 1/70*v**7 + 9*v. Factor a(z).
3*z*(z - 1)**2*(z + 2)**2/5
Let k(q) be the third derivative of q**5/60 - 2*q**4/3 - 6*q**3 + 456*q**2. Solve k(d) = 0 for d.
-2, 18
Let g(p) = -p**2 - 135*p - 1132. Let c be g(-9). Find s such that 0 + 10/7*s + 2/7*s**c = 0.
-5, 0
Let z be (1*(-12)/(-15))/(4/64810). Factor 12962 - z - l**2 + l.
-l*(l - 1)
Let q(o) be the third derivative of o**5/15 + o**4/8 + 48*o**2. Let k(h) = 2*h**2 + 2*h. Let t(f) = -3*k(f) + 2*q(f). Determine l, given that t(l) = 0.
0
Let f(s) = -s**3 + 20*s**2 - 37*s + 26. Let q be f(18). Let -10*v**5 + 8*v**4 - q*v**2 + 6*v - 4*v**3 - 4*v**5 + 6*v**5 + 6*v**5 = 0. Calculate v.
-1, 0, 1, 3
Let c be (3/(-8))/(((-3564)/(-7040))/(-27)). Factor 8/3*r**2 + 22/3*r - 2/3*r**3 - c.
-2*(r - 5)*(r - 2)*(r + 3)/3
Let x(f) = f**2 + f - 3. Let r = -46 - -43. Let t be x(r). What is w in 2*w**t + 0*w**3 - w**4 - 8*w**2 - 8*w + 4*w**2 + 2*w**4 = 0?
-2, 0, 2
Suppose -190 = 1294*y - 429 - 2349. What is t in 512/3*t + 16 + 1276/3*t**y - 484/3*t**3 = 0?
-2/11, 3
Suppose -1/2*r**2 - 42849/2 + 207*r = 0. What is r?
207
Let i(l) = -74*l - 69. Let n be i(-1). Let j(w) be the third derivative of 0*w - 1/20*w**n + 0 + 0*w**3 + 7*w**2 - 1/8*w**4. Determine g so that j(g) = 0.
-1, 0
Let p(t) be the second derivative of -t**6/10 - 19*t**5/30 - 5*t**4/3 + t**3/6 - 20*t**2 + 80*t. Let x(g) be the second derivative of p(g). Factor x(h).
-4*(h + 1)*(9*h + 10)
Factor -7*t**3 - 529984 - 1460*t**2 - 7*t**3 - 151158*t + 12*t**3 - 116746*t.
-2*(t + 2)*(t + 364)**2
Let b(s) be the second derivative of -s**5/12 + 5*s**4/2 - 80*s**3/3 - 177*s**2/2 + 179*s. Let w(t) be the first derivative of b(t). Factor w(c).
-5*(c - 8)*(c - 4)
Suppose -56 - 40 = -4*f. Suppose -80 = -4*d - f. Determine s so that -36*s**2 + 96*s**3 - 64*s**4 + 37*s - 19*s - d*s = 0.
0, 1/4, 1
Suppose 2*s - 5 = -h, 45 = 3396*s - 3392*s - 3*h. Let k(w) be the second derivative of -20*w**3 - 1/15*w**s - 37/6*w**4 + 0 + 2*w - 36*w**2 - w**5. Factor k(j).
-2*(j + 2)**2*(j + 3)**2
Solve -25/2*q - 36*q**3 + 0 - 11*q**4 - 37*q**2 + 1/2*q**5 = 0.
-1, 0, 25
Let t(z) = -10*z - 58. Let f be t(-6). Suppose 0 = -5*o - f*h, -4*o - 21*h + 24*h = 0. Suppose -4/9*n - 2/3*n**2 + o - 2/9*n**3 = 0. What is n?
-2, -1, 0
Let o be 114/(-1558)*82/(-4). Factor 0*j + 3/2*j**2 + 9/2*j**4 + 9/2*j**3 + o*j**5 + 0.
3*j**2*(j + 1)**3/2
Let h = 164883 - 164881. Suppose 4/9*f**h + 0 - 4/9*f**3 + 8/9*f = 0. Calculate f.
-1, 0, 2
Let m(y) = y**2 + y + 2. Let z(i) = 3*i**2 - 548*i + 75629. Let w(q) = -4*m(q) + 2*z(q). Let w(n) = 0. Calculate n.
275
Let z(s) be the third derivative of 1/2*s**4 - 143*s**2 + 0 - 1/60*s**5 + 13/6*s**3 + 0*s. Factor z(y).
-(y - 13)*(y + 1)
Let w(j) be the first derivative of 0*j**2 - 32*j**4 - 2/3*j**6 + 0*j + 30 - 128/3*j**3 - 8*j**5. Find i such that w(i) = 0.
-4, -2, 0
Suppose 0 = 16*i - 186*i + 29*i + 29*i - 293*i. Factor 24/13*n - 32/13*n**2 + 2/13*n**4 + i + 6/13*n**3.
2*n*(n - 2)*(n - 1)*(n + 6)/13
Let d be (5/2 + -2)*16. Let c(i) = -i**3 - 82*i**2 - 1485*i + 4. Let q be c(-55). Factor -6*n**2 + 2*n**q - 4*n**2 + d*n**2.
2*n**2*(n - 1)*(n + 1)
Let f(h) be the third derivative of 1/18*h**4 + 0*h**3 + 59/90*h**5 - 5*h + 0 - 3*h**2. Factor f(i).
2*i*(59*i + 2)/3
Let l(s) be the first derivative of -s**3/3 + 10*s**2 + 2*s - 50. Let h be l(20). Solve -1/2*n**3 + 0*n - 1/2*n**h + 0 + 25/8*n**4 + 25/8*n**5 = 0 for n.
-1, -2/5, 0, 2/5
Let v(y) be the third derivative of y**8/70560 + y**7/1260 + y**6/105 + 11*y**5/10 + 64*y**2. Let u(r) be the third derivative of v(r). Factor u(l).
2*(l + 2)*(l + 12)/7
Let y(d) be the first derivative of -2/33*d**3 + 0*d**2 + 4 - 1/165*d**6 - 2/55*d**5 - 3*d - 5/66*d**4. Let o(c) be the first derivative of y(c). Factor o(m).
-2*m*(m + 1)**2*(m + 2)/11
Let j be 2/(4 - (9 + -6)). Let c(z) = 3*z**3 + 40*z**2 - 97*z + 48. Let x(w) = 2*w**3 + 40*w**2 - 98*w + 47. Let p(i) = j*x(i) - 3*c(i). Factor p(m).
-5*(m - 1)**2*(m + 10)
Let l(v) = 4*v**2 + 78*v - 150. Let u(a) = -7*a + 3. Let d(k) = l(k) + 2*u(k). Find m such that d(m) = 0.
-18, 2
Let m(h) = -9*h**3 + 3*h + 2. Let x be m(-1). Let j be (-306)/39 + x/1. Factor -4/13*f**2 + j*f**3 - 2/13*f + 4/13.
2*(f - 2)*(f - 1)*(f + 1)/13
Let w(k) = -15*k**3 - 4286*k**2 - 3024704*k - 715822013. Let b(l) = l**3 + 2*l**2 + 8*l + 1. Let u(o) = -13*b(o) - w(o). Find q, given that u(q) = 0.
-710
Let f(u) be the first derivative of 0*u - 1/24*u**4 - 1/36*u**6 + 1/15*u**5 + 0*u**3 + 0*u**2 - 8. Factor f(o).
-o**3*(o - 1)**2/6
Let c = 3154/71 - 47168/1065. Solve -46/15*v**2 + 96/5 - 16*v - c*v**3 = 0 for v.
-12, 1
Let t(v) be the first derivative of -3*v**5/100 + 3*v**4/10 - v**3/2 - 59*v - 15. Let z(k) be the first derivative of t(k). Factor z(b).
-3*b*(b - 5)*(b - 1)/5
Determine j so that -472/5 + 234/5*j + 1/5*j**2 = 0.
-236, 2
Let x(s) = -s**2 - 1. Let w(o) = -o**5 - 4*o**4 - 6*o**3 - 10*o**2 - o - 6. Suppose -8*v - 89 = -97. Let u(z) = v*w(z) - 6*x(z). Factor u(r).
-r*(r + 1)**4
Let t(m) be the first derivative of -m**6/66 - 58*m**5/55 - 13*m**4/11 + 94*m**3/11 - 171*m**2/22 - 1149. Solve t(s) = 0.
-57, -3, 0, 1
Let u(n) be the second derivative of 0*n**2 + 1/15*n**6 - 5*n - 7/6*n**4 - 3 + 0*n**5 + 2*n**3. Determine b so that u(b) = 0.
-3, 0, 1, 2
Let r(n) be the third derivative of n**6/900 - n**5/75 - 4*n**4/45 + n**2 - 708*n. What is c in r(c) = 0?
-2, 0, 8
Let k(g) be the first derivative of -g**3/4 + 831*g**2/8 + 417*g/2 + 5002. Factor k(l).
-3*(l - 278)*(l + 1)/4
Let u(l) = -l**2 - 7*l + 13. Let t = 2 - -1. Let a(o) be the first derivative of -3*o**2/2 + 6*o + 1081. Let y(s) = t*u(s) - 5*a(s). Factor y(r).
-3*(r - 1)*(r + 3)
Let i(d) be the second derivative of 142*d - 65/2*d**3 + 5/12*d**4 + 0 + 185*d**2. Factor i(q).
5*(q - 37)*(q - 2)
Suppose -a + 6*a - 25 = -5*g, 