
5*m**2*(m - 1)*(m + 2)
Suppose -1345*y**5 - 1792*y - 154*y**4 + 320*y**2 - 1347*y**5 + 440*y**3 + 2694*y**5 + 1184 = 0. What is y?
-2, 1, 2, 74
Solve 3/5*y**3 + 0 + 252*y - 156/5*y**2 = 0.
0, 10, 42
Let v(w) = -23*w**2 - 53*w + 594. Let p(n) = -4*n**2 + 2*n. Let u(r) = 6*p(r) - v(r). Factor u(h).
-(h - 54)*(h - 11)
Let p(q) be the second derivative of -q**6/195 + 4*q**5/65 + 56*q**4/39 - 1280*q**3/39 + 3072*q**2/13 + 16091*q. Let p(u) = 0. Calculate u.
-12, 4, 8
Let b be 10*(16/10)/4. Suppose 3*r = b*r - 5. Factor 24*g**4 - 3*g**r + 24*g**4 - 3*g**3 - 42*g**4.
-3*g**3*(g - 1)**2
Let g = 2385684/5 + -477136. Suppose -59/5*m**2 + 89/5*m**3 + g + 11/5*m**5 + 8/5*m - 53/5*m**4 = 0. What is m?
-2/11, 1, 2
Suppose 9*z**3 + 294*z**2 - 4*z**4 - 19*z + 296*z**2 + 300*z**2 - 5 - 881*z**2 + 10*z**3 = 0. Calculate z.
-1, -1/4, 1, 5
Let s(z) be the second derivative of -24/7*z**3 + 1/6*z**4 + 6*z - 1 + 20/7*z**2. Find a, given that s(a) = 0.
2/7, 10
Let z(q) be the second derivative of -q**7/21 - q**6 + 2*q**5 + 10*q**4 - 64*q**3/3 + 1107*q. Find a, given that z(a) = 0.
-16, -2, 0, 1, 2
Let o(u) be the third derivative of -u**6/480 + 31*u**5/240 - 5*u**4/12 + u**3/2 - 25*u**2. Let y(k) be the first derivative of o(k). Factor y(d).
-(d - 20)*(3*d - 2)/4
Let m(a) be the second derivative of -5*a**6/2 + 1299*a**5/4 + 3069*a**4/4 + 967*a**3/2 + 132*a**2 - 2*a - 257. Let m(o) = 0. Calculate o.
-1, -1/5, 88
Let y(u) be the first derivative of -u**4/30 + 7*u**3/6 - 17*u**2/10 + 290*u - 107. Let j(v) be the first derivative of y(v). Factor j(b).
-(b - 17)*(2*b - 1)/5
Let c be (-171)/42 + 25 + -23. Let v = -25/14 - c. Solve 1/7*y - v + 1/7*y**2 = 0 for y.
-2, 1
Suppose 8*y = 10 + 22. Factor 151*g**4 - 313*g**4 + 159*g**y - 12*g + 7*g**3 + 18*g**2 - 24 - 4*g**3.
-3*(g - 2)**2*(g + 1)*(g + 2)
Solve -5 + 228*y**2 - 11 - 148*y**2 + 16 - 19*y**3 + y**4 + 100*y = 0.
-1, 0, 10
Let u(q) be the third derivative of 1/75*q**5 + 43*q**2 - 2*q - 1/840*q**8 + 0 - 7/60*q**4 + 2/525*q**7 + 2/75*q**6 - 4/15*q**3. Let u(h) = 0. Calculate h.
-1, 1, 4
Let o(j) be the second derivative of 5*j**7/42 + j**6/3 - 5*j**5 - 55*j**4/2 - 75*j**3/2 + 2198*j. Factor o(z).
5*z*(z - 5)*(z + 1)*(z + 3)**2
Let n = 215 - 214. Let b be n + -2 + 220/15 + -13. Factor -2*v - 4/3 - b*v**2.
-2*(v + 1)*(v + 2)/3
Suppose 2*f - 11 = -f - 2*p, 30 = 4*f - 5*p. Let m be f/(50/(-12)) + 2. Find i such that -14/5*i**2 + 2/5*i**4 - 12/5*i**3 + 4/5*i**5 - m*i + 0 = 0.
-1, -1/2, 0, 2
What is x in 4*x**4 + 1/3*x**5 + 0 + 12*x**3 + 0*x + 0*x**2 = 0?
-6, 0
Suppose -15 = -3*h, -5*q - 10 = 4*h - 155. Suppose 5*j - 2*z = 28, 8*j = 3*j + 5*z + q. Solve 3*t**2 - 4*t + j + 0*t**2 - 4*t - t = 0 for t.
1, 2
Factor -230*i + 585*i - 255*i + i**2 - 294*i.
i*(i - 194)
Let t(c) be the third derivative of 3/40*c**6 + 0*c + 0 + 9*c**4 + 47/20*c**5 + 14*c**3 + 188*c**2. Suppose t(n) = 0. What is n?
-14, -1, -2/3
Let u(k) = -715*k - 689. Let d be u(-1). Let x(b) be the first derivative of -d + 0*b**3 - 4/5*b**5 - 2*b**4 + 0*b + 0*b**2. Factor x(t).
-4*t**3*(t + 2)
Let w be (-1)/(8/6) - (-434)/248. Let q be (-3 + 4)*6 + (w - 3). Factor 0 + 9/4*i + 21/4*i**2 + 3/4*i**q + 15/4*i**3.
3*i*(i + 1)**2*(i + 3)/4
Let g(m) be the second derivative of -m**5 - 3*m**4 + 34*m**3/3 - 6*m**2 - m - 17. Factor g(x).
-4*(x - 1)*(x + 3)*(5*x - 1)
Let a(z) be the third derivative of 22/9*z**3 + 7/180*z**5 + 0 - 5/9*z**4 + 1/360*z**6 + 2*z - 21*z**2. Factor a(t).
(t - 2)**2*(t + 11)/3
Suppose 3*z - 26 = 109. Let b = -43 + z. Determine v, given that 20*v**4 - 50*v**b + 6*v + 14*v + 40 - 5*v**5 + 0*v**2 - 5*v**3 = 0.
-1, 2
Let i(n) be the first derivative of n**4/4 + 27*n**3 - 168*n**2 + 340*n + 587. Determine y, given that i(y) = 0.
-85, 2
Suppose 0 = -3*g - 4*j + 122 + 38, 140 = 2*g - 4*j. Suppose 18 = 69*k - g*k. Let 3 - 9/2*u + 3/2*u**k = 0. Calculate u.
1, 2
Suppose -3*r - 16 + 10 = x, 5*r + 14 = -3*x. Let s(g) = 8*g**4 - 22*g**3 + 10*g**2. Let k(j) = j. Let w(y) = r*s(y) - 4*k(y). Factor w(b).
-2*b*(b - 2)*(b - 1)*(4*b + 1)
Suppose 29 + 110 = 28*g - 1. Let a(m) be the first derivative of 1/24*m**4 - 1/9*m**3 + 1/30*m**g + 0*m + 4 + 0*m**2. Factor a(u).
u**2*(u - 1)*(u + 2)/6
Let t = 27 - 11. Suppose -11*l - 20 = -t*l. Factor l - 3*f**3 + 11 - 33*f**2 + 4*f - 90 - 109*f.
-3*(f + 1)*(f + 5)**2
Let p = 83358/23401 + 31/3343. Solve -8/7 + 121/7*i**3 - 20/7*i + p*i**5 + 34/7*i**2 + 100/7*i**4 = 0.
-2, -1, -2/5, 2/5
Suppose -55*l + 51*l + 20 = 0. Suppose -2*u + x + 13 = -2*x, -5*u - 2*x + 4 = 0. Suppose 6*c + 5*c + 2*c - u*c**2 - 6 - l*c = 0. What is c?
1, 3
Suppose -7*y = -d - 3*y + 19, 109 = 4*d - 5*y. Suppose -4*z + 44 = 5*v, z = 4*v - 0*z - d. Factor 0*j**2 - 6*j + v*j**2 + 39*j**3 - 41*j**2.
3*j*(j - 1)*(13*j + 2)
Let y(t) be the third derivative of -t**8/588 - 13*t**7/735 - t**6/14 - 2*t**5/15 - 2*t**4/21 + 1716*t**2. Factor y(k).
-2*k*(k + 2)**3*(2*k + 1)/7
Let x = -1161074 - -1161074. Factor -55/4*h**3 + x*h + 0 + 5/2*h**2 + 45/4*h**4.
5*h**2*(h - 1)*(9*h - 2)/4
Let r(k) be the first derivative of k**4/26 - 20*k**3/39 - 800*k**2/13 + 24000*k/13 - 3881. Suppose r(n) = 0. What is n?
-30, 20
Suppose 5*p = -2*k + 29, -3*p - 19 = 908*k - 912*k. Let j(o) be the first derivative of 30 - 1/7*o**p - 3/7*o - 3/7*o**2. Factor j(n).
-3*(n + 1)**2/7
Suppose -44 = -12*l - 10*l. Factor 50*u**4 - 71*u**4 - 11*u**2 - 14*u**2 - 3*u**5 - l*u**2 - 45*u**3.
-3*u**2*(u + 1)*(u + 3)**2
Let c(g) be the second derivative of g**4/12 - 23*g**3/2 + 34*g**2 - 88*g + 1. What is w in c(w) = 0?
1, 68
Let f(u) be the first derivative of -5*u**3/3 + 585*u**2 + 1175*u + 2445. Let f(q) = 0. Calculate q.
-1, 235
Let b be ((-2)/70 + (-1098)/(-1830))*14/4. Factor 5/2*w - 1 - 1/2*w**5 - 2*w**3 - w**b + 2*w**4.
-(w - 2)*(w - 1)**3*(w + 1)/2
Let w(u) = 240*u**2 + 4100*u + 20012. Let d(z) = z**3 + 718*z**2 + 12300*z + 60033. Let a(q) = 4*d(q) - 11*w(q). Factor a(l).
4*(l + 8)*(l + 25)**2
Let f(q) be the third derivative of 1/720*q**6 + 0*q**4 - 2 + 120*q**2 + 0*q**3 + 1/40*q**5 + 0*q. Factor f(u).
u**2*(u + 9)/6
Let f(c) be the third derivative of c**7/1050 + 11*c**6/200 + 41*c**5/300 - 1631*c**4/40 - 1617*c**3/5 + 4603*c**2. Suppose f(z) = 0. What is z?
-21, -2, 11
Suppose 1695*g - 1692*g - 9 = -3*h, -2*g + 17*h = 51. Let k be (-4)/18 + (-23)/(-63). Let -k*y**5 + 1/7*y**3 - 2/7*y**4 + g*y + 0 + 2/7*y**2 = 0. What is y?
-2, -1, 0, 1
Let 2/9*f**5 + 8/9*f**4 - 2/9*f + 4/3 + 0*f**3 - 20/9*f**2 = 0. What is f?
-3, -2, -1, 1
Suppose 39/7*m**2 + 30/7*m**3 - 12/7*m - 3 = 0. What is m?
-1, 7/10
Let i(o) = 16*o + 312. Let g be i(-20). Let h be -15 - (g + -1) - -8. Suppose 2*r**4 + 0 + 18/7*r**3 + 0*r + 4/7*r**h = 0. Calculate r.
-1, -2/7, 0
Let o(d) = 3*d**4 + 9*d**3 + 9*d**2 - 11*d - 6. Let t(l) = 16*l**4 + 44*l**3 + 45*l**2 - 55*l - 28. Let b(x) = -44*o(x) + 8*t(x). Factor b(i).
-4*(i - 1)*(i + 1)**2*(i + 10)
Let k(l) be the third derivative of 62*l**2 - 1/160*l**6 + 0 - 1/1680*l**7 + 0*l**3 - 3/160*l**5 + l - 1/48*l**4. Find v, given that k(v) = 0.
-4, -1, 0
Let f(z) be the first derivative of 2048/7*z - 159 + 2/35*z**5 - 33/7*z**4 - 2112/7*z**2 + 2306/21*z**3. Factor f(v).
2*(v - 32)**2*(v - 1)**2/7
Let f(r) be the third derivative of -r**7/42 + 55*r**6/24 - 143*r**5/4 + 3325*r**4/24 + 2875*r**3/3 + r**2 - 914. Factor f(n).
-5*(n - 46)*(n - 5)**2*(n + 1)
Let i be 1*(-18 - -15)*4/(-6). Let v be 7/(-14) - (-14)/8. What is f in 1/2*f + 3/4*f**3 + v*f**i + 0 = 0?
-1, -2/3, 0
Let u(s) be the second derivative of s**4/10 - 648*s**3/5 - 1947*s**2/5 - 771*s. Let u(a) = 0. What is a?
-1, 649
Let y(q) = -4559*q + 2. Let v be y(0). Factor -3/5 - 4/5*r - 1/5*r**v.
-(r + 1)*(r + 3)/5
Determine h so that 3*h**2 - 12 - 143/2*h = 0.
-1/6, 24
Let c be ((-56)/24)/(34153/(-1722)). Factor 0*x + 2/17 - c*x**2.
-2*(x - 1)*(x + 1)/17
Find y, given that 3/5*y**5 - 47/5*y**3 + 28/5*y**2 + 28*y - 4/5*y**4 - 48/5 = 0.
-3, -2, 1/3, 2, 4
Let 17640 - 838/5*n**2 - 168*n + 4/5*n**3 + 2/5*n**4 = 0. What is n?
-15, 14
Let j(c) = 1. Let o(i) = -572*i**2 + 573*i**2 - 13*i + 12 + 11 + 7. Let g(n) = -6*j(n) - o(n). Factor g(b).
-(b - 9)*(b - 4)
Suppose 4*q - 4*o - 24 = 124, o = 3*q - 103. Determine j so that -10*j**3 + 9*j**3 + 5*j**2 + 31*j - q*j - 2*j**2 = 0.
0, 1, 2
Let c(l) be the first derivative of 5*l**3/12 - 2130*l**2 + 362