- 95*i**4/3 + 19*i**2 + 19. Determine f, given that x(f) = 0.
0, 152
Let w be (6/(-4))/(-5 + 136/32). Suppose 2*s + 14 = 4*s + w*m, 5*s - 3*m + 5 = 0. Find a such that -16/11 + 4*a - 10/11*a**s = 0.
2/5, 4
Let w = 1003/99 + -87/11. Factor -4/9*d**3 - w*d + 8/3*d**2 + 0.
-4*d*(d - 5)*(d - 1)/9
Let l be 576/(-240)*(-20)/12*27/42. What is u in 54/7*u**3 + 0 + 2/7*u**5 + l*u**4 + 0*u + 54/7*u**2 = 0?
-3, 0
Suppose -288*j + 53*j**2 - 192 - 57*j**2 + 92*j = 0. Calculate j.
-48, -1
Suppose 0 = -5241*n + 5233*n + 24. Let j be (-129)/(-387) - n/((-18)/10). Factor -8/3 - j*g + 5/3*g**2.
(g - 2)*(5*g + 4)/3
Determine d, given that 808/3*d + 1/3*d**2 + 0 = 0.
-808, 0
Let y = 408 + -410. Let l be 9/((-324)/(-84)) + y/(-3). Solve -19/2*o**l - 32 - 88*o - 145/2*o**2 + 13/2*o**4 - 1/2*o**5 = 0.
-1, 8
Find d such that -11 - 12*d**4 + 3*d + 17 + 18*d**3 + 5 + 3*d**5 - 11 - 12*d**2 = 0.
0, 1
Suppose 5*u - 11 = i, -2*u + 5*i = -13 + 4. Let s(m) be the second derivative of 5/12*m**4 - 2*m**3 + 0 - 12*m + 2*m**u. Factor s(q).
(q - 2)*(5*q - 2)
Let z(h) be the second derivative of 1/45*h**6 - 2 - 17*h - 1/10*h**5 + 0*h**4 + 4/9*h**3 + 0*h**2. Suppose z(m) = 0. What is m?
-1, 0, 2
Let j be ((-7 + -218)/(-9) - 10)/(12 + -10). Factor 5*z**4 + 0*z + 0 + 5/2*z**3 - j*z**2.
5*z**2*(z - 1)*(2*z + 3)/2
Suppose -5*q + 5*c + 1 - 281 = 0, 154 = -3*q - 4*c. Let w be ((-9)/q)/((-3)/(-24))*2. Determine i, given that 0*i - 2/3*i**3 - w + 2*i**2 = 0.
-1, 2
Let j = -5640241/7 - -805749. Find y, given that -j*y**5 + 4/7*y**3 - 2/7*y**4 - 2/7*y + 4/7*y**2 - 2/7 = 0.
-1, 1
Factor -641*p - 4056*p**2 - 720 + 8119*p**2 - 4058*p**2 + 16*p + 90.
5*(p - 126)*(p + 1)
Let 74*s**4 + 57*s**3 - 2*s**5 - 20*s**4 - 174*s**2 + 35*s**3 + 30*s**3 = 0. Calculate s.
-3, 0, 1, 29
Let w(l) = -l + 7. Let o be w(3). Solve 22*a**3 - 23*a**3 - a**2 + a - o - 2 + 7 = 0.
-1, 1
Let k be (-6)/2*(-6)/(-189)*-3. Let b(q) be the first derivative of 2/21*q**3 + 0*q - 1 - k*q**2. Suppose b(a) = 0. What is a?
0, 2
Let m = -89/3 + 30. Let d = -205430/3 - -68477. Factor -d + 0*n + m*n**2.
(n - 1)*(n + 1)/3
Let g = -162 + 166. Let s(d) be the third derivative of 11/12*d**4 - g*d**2 + 0*d + 0 + 3/10*d**5 + 2/3*d**3. Factor s(u).
2*(u + 1)*(9*u + 2)
Factor 135/2 - 147/4*z**2 - 99/4*z + 1/4*z**4 - 25/4*z**3.
(z - 30)*(z - 1)*(z + 3)**2/4
Let k(n) be the third derivative of 0*n + 160/3*n**3 + 10/3*n**4 + 0 + 1/12*n**5 + 47*n**2. Factor k(j).
5*(j + 8)**2
Suppose 4855*x = 5024*x - 845. Let j(z) be the first derivative of 12 + 1/10*z**x - 1/6*z**3 + 0*z**4 + 1/8*z**2 - 1/24*z**6 + 0*z. Factor j(l).
-l*(l - 1)**3*(l + 1)/4
Let o(d) = -d**2 - 540*d - 936. Let r(x) = -x**2 - 264*x - 468. Let n(w) = 2*o(w) - 5*r(w). Factor n(l).
3*(l + 2)*(l + 78)
Suppose -2*b + 8 = -2*l + 34, -5*l = 2*b - 44. Let m(h) = 2*h**3 + 86*h**2 - 285*h - 399. Let s be m(-46). Factor s + 5/3*a**2 - l*a.
5*(a - 3)**2/3
Let a(n) be the second derivative of -n**6/40 - 7*n**5/60 + 2*n**3/3 - 33*n**2 + n - 1. Let i(z) be the first derivative of a(z). Factor i(k).
-(k + 1)*(k + 2)*(3*k - 2)
Let r(l) = 148*l**2 - 13048*l + 2138612. Let t(w) = 28*w**2 - 2610*w + 427722. Let i(z) = 3*r(z) - 16*t(z). Determine p, given that i(p) = 0.
327
Let b(x) be the first derivative of -x**6/360 + x**5/90 + x**2/2 - 5*x + 45. Let q(k) be the second derivative of b(k). Factor q(w).
-w**2*(w - 2)/3
Let g(j) be the second derivative of -10*j**7/21 + 5086*j**6/15 - 1522*j**5/5 - 1016*j**4/3 + 1105*j. Suppose g(l) = 0. What is l?
-2/5, 0, 1, 508
Let z(m) be the second derivative of 1/252*m**7 - 5/36*m**4 + 2/3*m**2 + 1/9*m**3 + 1/90*m**6 + 4*m - 43 - 1/24*m**5. Determine g, given that z(g) = 0.
-2, -1, 1, 2
Suppose -s = -4*w - 28, 28 = -4*s + 8*s - 2*w. Let f(i) be the third derivative of 0*i**3 + 1/180*i**5 - 11*i**2 + 0 + 0*i + 1/18*i**s. Solve f(v) = 0 for v.
-4, 0
Suppose 5*h = 2*o - 5*o + 12, -5*o + 4 = 3*h. Let i be h - (-4 + 14/4). Solve -i*c**4 - 9/2*c**3 + 9/2*c + 5/2*c**2 + 1 = 0 for c.
-1, -2/7, 1
Let h(t) = -4*t - 10. Let c be h(-3). Suppose 4*r = -1 + 13. Factor -j**4 - r*j**3 + 26 + j**c - 26 + 3*j.
-j*(j - 1)*(j + 1)*(j + 3)
Let i be (2 - -4) + 100/(-25). Let m be (1/((-24)/(-18)))/i. Factor -m*n**2 + 3/8*n**3 + 0 - 3/8*n**5 + 0*n + 3/8*n**4.
-3*n**2*(n - 1)**2*(n + 1)/8
Let n = 10080385/76 - 132632. Let k = -11/76 + n. Factor k - 6*s + 3/2*s**2.
3*(s - 3)*(s - 1)/2
Suppose -2*o + 8*o = 24. Suppose 0 = 5*j + 5*l + 10, -3*j + 1 = -6*j - 2*l. Factor 2*w**2 - w**j + 2*w**4 - w**4 - w**4 - w**o.
-w**2*(w - 1)*(w + 2)
Let f be (-146047)/(-28897) + 6/(-111). Determine g so that -33*g - 18 - 27/2*g**2 + 9/2*g**4 + 3/4*g**f + 21/4*g**3 = 0.
-3, -2, -1, 2
Let x(o) = -10 + 3*o - 11 + 15 - 6. Let r be x(5). Factor 7*y - 4*y + 3*y**3 - 6*y**3 + 2*y**r + 2.
-(y - 2)*(y + 1)**2
Factor 144/5 + 53/5*w**2 + 32*w + 11/10*w**3.
(w + 4)**2*(11*w + 18)/10
Suppose -583*j = -2519 + 770. Let 90*t + 2/15*t**j + 6*t**2 + 450 = 0. Calculate t.
-15
Let f(m) be the second derivative of 1/4*m**5 - 5/4*m**4 + 21*m - 30*m**2 - 40/3*m**3 - 5. Find n such that f(n) = 0.
-2, -1, 6
Let i = -122 - -89. Let g = i - -55. Let -g*k**2 - 27*k + 27*k**3 + 33*k - 15*k**4 + k**2 + 3*k**5 = 0. What is k?
0, 1, 2
Let k(s) be the third derivative of -s**5/15 + 19*s**4/6 + 520*s**3 - 391*s**2. Determine u, given that k(u) = 0.
-20, 39
Suppose 0 = -41*p - 6*p - 48410. Let n = p - -1032. Factor -24/7 + 3/7*b**n - 6/7*b.
3*(b - 4)*(b + 2)/7
Let b be (0 + 3/12)/((-3)/(-4)). Let c(q) be the first derivative of -1/3*q**4 + 1/15*q**5 + 0*q + 0*q**2 + b*q**3 - 2. Find r, given that c(r) = 0.
0, 1, 3
Let m(r) be the third derivative of r**5/390 + 29*r**4/78 + 19*r**3/13 + 828*r**2. Find x such that m(x) = 0.
-57, -1
Let x(h) be the second derivative of 615/8*h**3 + 675/4*h**2 + 9/80*h**5 + 13 + h - 11/2*h**4. What is n in x(n) = 0?
-2/3, 15
Suppose 401*c - 1404 = -67*c. Let h(g) be the third derivative of -3*g**c + 0*g - 1/30*g**5 - 30*g**2 + 1/2*g**4 + 0. Determine m so that h(m) = 0.
3
Let n(v) be the first derivative of 0*v**2 - 110/3*v**3 + 65 + 5/4*v**4 + 0*v. Factor n(s).
5*s**2*(s - 22)
Suppose -29096*c + 29045*c + 102 = 0. Solve 3/4*u**3 + 5/4*u**c - 1/4*u**4 - 3/4*u - 1 = 0 for u.
-1, 1, 4
Let o(y) be the first derivative of 11*y**5/5 - 104*y**4 + 4280*y**3/3 - 3168*y**2 - 1296*y - 3447. Find r, given that o(r) = 0.
-2/11, 2, 18
Let m(h) = -h**5 - 3*h**4 - h**2 - h. Let a(r) = 6*r**5 - 142*r**4 + 1292*r**3 + 1446*r**2 + 2*r. Let y(j) = a(j) + 2*m(j). Factor y(i).
4*i**2*(i - 19)**2*(i + 1)
Suppose 0 = 10*q - 232 - 8. Suppose 5*c = 11*c - q. Factor 0 + 0*t**2 + 0*t**c - 1/2*t**5 + 2*t**3 + 0*t.
-t**3*(t - 2)*(t + 2)/2
Let w = 44050 + -44050. What is i in -4/7 + w*i + 1/7*i**2 = 0?
-2, 2
Let p(x) be the first derivative of x**7/1050 - x**6/225 - 2*x**5/75 + 4*x**4/15 - 28*x**3 - 59. Let t(o) be the third derivative of p(o). Solve t(s) = 0.
-2, 2
Let s(t) = t**2 - 20983*t - 9229561. Let u(k) = -3498*k - 1538260. Let d(z) = 2*s(z) - 13*u(z). Let d(n) = 0. What is n?
-877
Let d(u) = -7*u**4 + 241*u**3 - 692*u**2 + 467*u. Let o(k) = 15*k**4 - 481*k**3 + 1380*k**2 - 935*k. Let l(v) = 7*d(v) + 3*o(v). Factor l(p).
-4*p*(p - 58)*(p - 2)*(p - 1)
Let l(x) be the third derivative of 2809*x**5/6 + 106*x**4 + 48*x**3/5 + 11529*x**2. Factor l(n).
2*(265*n + 12)**2/5
Let q(r) = r**3 - 18*r**2 - 37*r - 58. Let a be q(20). Solve -2*k**5 - 10*k + 862*k**4 + 10*k + 0*k**5 + 2*k**3 - 2*k**a - 860*k**4 = 0.
-1, 0, 1
Let o(i) = -i**4 - i**3 - i**2 - 2*i - 5. Let y(g) = -112*g**4 + 244*g**3 + 336*g**2 - 16*g + 20. Let k(t) = 4*o(t) + y(t). Find v, given that k(v) = 0.
-1, 0, 2/29, 3
Suppose 10 = 5*t - 0. Find o such that -172*o**3 + 30*o**t - 10*o - 5*o**4 + 15*o**5 + 127*o**3 + 15*o**2 = 0.
-2, 0, 1/3, 1
Let j(z) = 2*z**3 - 8*z**2 - 10*z. Let t(v) = 6*v**3 - 23*v**2 - 29*v. Let o = 94 - 111. Let s(y) = o*j(y) + 6*t(y). Factor s(h).
2*h*(h - 2)*(h + 1)
Let k(u) be the third derivative of -u**6/40 + 5*u**5 + 627*u**4/8 + 477*u**3 + 3*u**2 + 137. Solve k(r) = 0.
-3, 106
Factor 9720 - 201/2*g**2 + 3/2*g**3 + 1404*g.
3*(g - 36)**2*(g + 5)/2
Let k be 0 - (-1)/(3/(9 - 0)). Factor 2 + k*b - 2*b**2 - 2*b - 1 + 1 - b**3.
-(b - 1)*(b + 1)*(b + 2)
Let l(p) = 19*p**3 + 59*p**2 - 29*p - 77. Let x(g) = -2*g**3 - 2*g**2 - g + 3. Let j(r) = -l(r) - 11