 i.
-7, -2, 1
Let j(c) = -c**3 + 8*c**2 - 8*c + 9. Let x be j(7). Suppose -z - 5*o = -3, 3*z + 4*o - 15 = -x*z. Find r, given that -12*r - 2*r**3 + 9*r + z*r = 0.
0
Let l(w) be the first derivative of -w**5/5 + 3*w**3 + 2*w**2 - 12*w + 116. Factor l(b).
-(b - 3)*(b - 1)*(b + 2)**2
Let x = -4167/362 - -2/181. Let d = x + 47/4. Factor 4 + 9/4*t**2 + d*t**3 + 6*t.
(t + 1)*(t + 4)**2/4
Factor 1146/5*t + 3/5*t**2 + 109443/5.
3*(t + 191)**2/5
Let l(f) = 7*f**2 - 21*f - 14. Let h(v) = 25*v**2 - 65*v - 41. Let n(i) = -6*h(i) + 21*l(i). Factor n(q).
-3*(q + 1)*(q + 16)
Let c(k) be the second derivative of -k**7/21 - 8*k**6/15 + 23*k**5/10 + 67*k**4/3 - 476*k**3/3 + 392*k**2 + 167*k. Find n, given that c(n) = 0.
-7, 2
Let s(c) be the first derivative of -3*c**5/20 + c**3/2 + 5*c - 22. Let f(b) be the first derivative of s(b). Determine j so that f(j) = 0.
-1, 0, 1
Let c(p) = -8*p**4 - 19*p**3 - 33*p**2 + 3*p - 3. Let m(w) = 25*w**4 + 55*w**3 + 100*w**2 - 10*w + 10. Let i(o) = -10*c(o) - 3*m(o). What is h in i(h) = 0?
-3, -2, 0
Let f = -74 + 76. Let -10 + n**f - 7*n + 16 + 0 = 0. What is n?
1, 6
Determine v so that 1/3*v**4 + 40/3*v + 0 - 52/3*v**2 + 6*v**3 - 1/3*v**5 = 0.
-5, 0, 2
Factor -38 + 12*m**2 - 15 - 5 - 50 - 429*m.
3*(m - 36)*(4*m + 1)
Let l = -43/30 - -71/30. Find w, given that l*w**5 - 28/15*w**2 - 4/15 + 32/15*w**4 - 22/15*w + 8/15*w**3 = 0.
-1, -2/7, 1
Let b = 3/244 + -3193/1708. Let i = b + 15/7. Factor -i - 4/7*r - 2/7*r**2.
-2*(r + 1)**2/7
Let f = 111/86 + -34/43. Let g(r) be the first derivative of -f*r - 1/24*r**3 - 2 - 1/4*r**2. Factor g(h).
-(h + 2)**2/8
Let c be -1 + (-1150)/165 + 8. Let q(f) be the second derivative of -c*f**3 - 1/66*f**4 + 0 - 5*f + 2/11*f**2. Factor q(y).
-2*(y - 1)*(y + 2)/11
Let m(y) = -7*y**2 + 8. Let u = 20 - 14. Let w(a) = -u*a - 2*a + 6*a**2 + 8*a - 9. Let k(h) = -3*m(h) - 4*w(h). Determine r so that k(r) = 0.
-2, 2
Let n be ((-612)/(-135))/(21*6/45). Let i(b) be the first derivative of -6 - n*b**3 + 20/7*b**2 + 2/7*b**4 - 8/7*b. Determine m so that i(m) = 0.
1/4, 2
Let w(d) be the third derivative of d**8/2520 - d**7/175 + 11*d**6/900 + d**5/18 - 2*d**4/15 - 28*d**3/45 + 181*d**2. Determine s so that w(s) = 0.
-1, 2, 7
Suppose 9*m**3 - 21*m**3 + 41*m + 0*m**4 - 3*m**4 + 18*m**2 - 15 - 29*m = 0. Calculate m.
-5, -1, 1
Let d = -20 - -23. Suppose -y - d*c = -5, 6*y - 2*c = 2*y + 20. Solve -y*m**4 - 18*m**5 + 0*m**3 + 17*m**4 + 16*m**3 + 2*m - 12*m**2 = 0.
-1, 0, 1/3, 1
Suppose -46*s**2 + 117*s - 5*s**3 + 60*s**4 - 134*s**2 - 10 - 5*s + 23*s = 0. Calculate s.
-2, 1/12, 1
Let s = 143/21630 - -3/1030. Let m(x) be the second derivative of 0 - 1/70*x**5 + 0*x**2 + 0*x**4 + s*x**6 + 0*x**3 - 12*x. Determine k, given that m(k) = 0.
0, 1
Let x be (1 + 2 - 3)*1 - 0. Suppose x = -3*y - y. Solve 3/4*m**2 + y*m - 1 - 1/4*m**3 = 0.
-1, 2
Let b(q) = q**3 - q**2 - 2. Let k(h) = -6*h**3 + 18*h**2 - 16*h + 4. Let r(g) = 2*b(g) + k(g). Suppose r(c) = 0. Calculate c.
0, 2
Let g = -110 - -110. Let m(v) be the first derivative of -1/7*v + 3 + g*v**2 + 1/21*v**3. Find y such that m(y) = 0.
-1, 1
Let y = -13 + 17. Solve 177*a**3 + 75*a**5 - 312*a**2 + 193*a**y - 14*a - 22*a + 167*a**4 - 48 - 216*a = 0.
-4, -1, -2/5, 1
Suppose -19*p = 6*p - 8*p. Solve -2/3*n**5 + p*n**3 + 0*n - 8/3*n**2 + 2*n**4 + 0 = 0.
-1, 0, 2
Factor -6*a**5 - 792*a**3 - 2662*a + 4*a**5 - 931*a**2 - 2457*a**2 - 68*a**4.
-2*a*(a + 1)*(a + 11)**3
Let a = 5474/507 + -22/169. Factor a - 16/3*n + 2/3*n**2.
2*(n - 4)**2/3
Let i = -18 - -25. Let y(t) = t**2 + i*t + 7*t + 5*t - 28*t - 2. Let n(v) = -15*v**2 + 144*v + 33. Let r(f) = -2*n(f) - 33*y(f). Suppose r(b) = 0. What is b?
0, 3
Let n(u) = -u**3 - 3*u**2 + u + 2. Let p be n(-1). Let l be (-2)/p*8/40. Factor 0*y**4 + 2/5*y**5 + 0*y**2 + l*y + 0 - 4/5*y**3.
2*y*(y - 1)**2*(y + 1)**2/5
Let w be ((-152)/(-12))/(10/(-390)). Let d be (-3)/(3 - 2) + (-1938)/w. What is v in -18/13*v**4 + 0 + 8/13*v**5 - 2/13*v**2 + 0*v + d*v**3 = 0?
0, 1/4, 1
Let u(r) = -24010000*r**4 - 4116002*r**3 - 264600*r**2 - 7562*r - 81. Let w(d) = -d**3 - d. Let g(p) = u(p) - 2*w(p). Determine a so that g(a) = 0.
-3/70
Suppose -4*n - 63 = -5*i, 47 = 5*i + n - 6. Let v(r) be the first derivative of -1/14*r**4 + 2/21*r**3 + 6/7*r + i + 5/7*r**2. Factor v(y).
-2*(y - 3)*(y + 1)**2/7
Let n(s) = s + 3 + 3 + 15. Let z be n(-13). Factor -2*l**2 - 2*l**2 + z*l + 8*l + 18 - 30.
-4*(l - 3)*(l - 1)
Let d(z) = -4*z**2 + 20*z + 12. Let p = -97 + 91. Let y(l) = l**2 - l. Let v(g) = p*y(g) + d(g). Suppose v(i) = 0. What is i?
-2/5, 3
Let s = -107 - -114. Let d(l) = 18*l - 126. Let h be d(s). Factor 0*u + h + 3/2*u**3 - 1/2*u**4 - u**2.
-u**2*(u - 2)*(u - 1)/2
Let l(i) be the second derivative of i**7/168 - i**6/120 - 11*i**5/80 + 29*i**4/48 - 13*i**3/12 + i**2 - 859*i. Let l(g) = 0. Calculate g.
-4, 1, 2
Let m be (-3)/4 - 90/(-24). Suppose -m*s = u - 0*s - 2, -5*u = -2*s - 10. Suppose 0*y + 0 + 1/4*y**u - 1/4*y**3 = 0. Calculate y.
0, 1
Let p(h) be the third derivative of h**7/70 + 7*h**6/10 + 13*h**5/5 - 230*h**2. Factor p(d).
3*d**2*(d + 2)*(d + 26)
Let c(p) be the second derivative of -p**4/4 - 39*p**3 - 4563*p**2/2 - 2*p - 46. Find t, given that c(t) = 0.
-39
Let p be 8/18*8*33/880. Let b(i) be the second derivative of 0 + 8*i - 1/90*i**4 + 1/15*i**3 - p*i**2. Solve b(c) = 0.
1, 2
Let k(d) be the third derivative of d**8/504 - d**7/105 + d**6/90 + 17*d**2 + 9*d. Factor k(y).
2*y**3*(y - 2)*(y - 1)/3
Let n(d) be the third derivative of d**6/600 - d**5/15 + 11*d**4/10 - 48*d**3/5 + 337*d**2. Suppose n(r) = 0. What is r?
6, 8
Let c = 2155 + -2147. Let z(g) be the second derivative of -1/36*g**3 - c*g + 0 - 1/72*g**4 + 1/6*g**2. Find x such that z(x) = 0.
-2, 1
Let w(r) = -8*r**4 + 8*r**3. Let l(o) = 2*o**4 - 2*o**3. Let q = -5 - 1. Let f(c) = q*w(c) - 22*l(c). Let f(k) = 0. What is k?
0, 1
Let v(n) be the first derivative of 2*n**5/15 + 8*n**4/3 + 16*n**3/3 - 320*n**2/3 + 800*n/3 + 57. Factor v(f).
2*(f - 2)**2*(f + 10)**2/3
Let o = -276 - -276. Suppose 10 = -5*w + 5*u, 6*u - 5*u - 4 = o. Factor 2/3*k**3 + 6*k - 4*k**w + 0.
2*k*(k - 3)**2/3
Let i(n) be the third derivative of 0 + 38*n**2 + 2/75*n**5 - 1/200*n**6 - 1/5*n**3 + 0*n + 1/24*n**4. Determine s so that i(s) = 0.
-1, 2/3, 3
Let i = -47 + 45. Let d(b) = -5*b**3 - 4*b**2 + 20*b - 11. Let f(h) = -h**3 - h**2 + 4*h - 2. Let l(r) = i*d(r) + 11*f(r). Factor l(k).
-k*(k - 1)*(k + 4)
Let j(c) be the first derivative of 1/30*c**5 - 12 + 0*c + 0*c**3 + 0*c**2 + 0*c**4 - 1/36*c**6. Factor j(o).
-o**4*(o - 1)/6
Let d(f) be the first derivative of -2/15*f + 0*f**2 + 2/45*f**3 + 16. Solve d(j) = 0.
-1, 1
Let h = -24014 - -24016. Determine v, given that 3*v**h + 3/7*v**3 + 15/7 + 33/7*v = 0.
-5, -1
Factor -63*d + 1 + 9*d**2 + 75*d**3 + 10*d**2 - 28 + 0 - 4*d**2.
3*(d - 1)*(5*d + 3)**2
Suppose 0 = 4*l + 1 - 41. Suppose 4*n + 16 = 2*s, 19 = 2*s - l*n + 5*n. Determine t so that 4*t - 9 - 2*t**s + 0 + 0*t + 7 = 0.
1
Let a be ((-306)/(-216))/(7/452). Let t = -259/3 + a. Let 108/7 - 108/7*d + t*d**2 - 4/7*d**3 = 0. What is d?
3
Suppose 3*z + 11*z = 0. Let f(m) be the third derivative of 0*m + 2/35*m**7 + 1/18*m**4 + 1/30*m**6 + z + 0*m**3 - 1/9*m**5 - 5*m**2. Find i such that f(i) = 0.
-1, 0, 1/3
Let d(p) = p**3 - 9*p**2 - 3*p + 29. Let x be d(9). Solve -2*b**x - 125 - 12*b - b**2 + 117 - b**2 = 0.
-2, -1
Let s be 0*(2 + 10/(-4)). Let v(o) be the first derivative of 1/21*o**3 + s*o + 5 - 1/28*o**4 + 0*o**2. Let v(k) = 0. What is k?
0, 1
Solve 0*p**2 - 4/3*p**3 + 4*p + 8/3 = 0 for p.
-1, 2
Let d(r) be the third derivative of r**7/10 + 2*r**6/5 + 11*r**5/20 + r**4/4 - r**2 - 10. What is k in d(k) = 0?
-1, -2/7, 0
Let s(r) be the third derivative of 33*r**2 + 81/20*r**5 + 8*r**3 + 0*r + 0 - 9*r**4. Solve s(y) = 0.
4/9
Let -28/9 + 2/9*r**2 + 26/9*r = 0. What is r?
-14, 1
Let a(f) be the third derivative of 0*f**3 + 0 + 0*f + 7*f**2 - 1/180*f**5 + 1/8*f**4. Factor a(q).
-q*(q - 9)/3
Let b(t) be the first derivative of -2*t**5/5 + t**4 + 2*t**3/3 - 2*t**2 - 187. Factor b(w).
-2*w*(w - 2)*(w - 1)*(w + 1)
Suppose -142/15*x + 368/15*x**2 - 224/15*x**3 + 16/15 = 0. What is x?
1/4, 8/7
Let a(f) = -f + 15. Let g be a(11). Find v such that 21*v**3 + 19*v**4 - 21*v + v**2 - 6 - v**g - 13*v**2 = 0.
-1, -2/3, -1/2, 1
Let a(d) be the thi