*2 = 0. What is j?
0, 1
Let n(j) be the first derivative of 3/10*j**5 + 0*j + 0*j**3 + 0*j**2 + 7 - 1/12*j**6 - 1/4*j**4. Determine i, given that n(i) = 0.
0, 1, 2
Let h(j) be the third derivative of -j**7/350 + j**5/50 - j**3/10 + 157*j**2. Factor h(c).
-3*(c - 1)**2*(c + 1)**2/5
Let i(d) be the third derivative of -d**5/330 + 29*d**4/132 + 10*d**3/11 + d**2 + 47. Find k, given that i(k) = 0.
-1, 30
Let u be 136/36 + 6/27. Suppose 3*b + 4*h = 28, 8 = -b - b + u*h. Factor 0 + 0*c**2 - 2/7*c**b + 0*c**3 + 0*c.
-2*c**4/7
Let h(s) be the second derivative of s**6/30 + s**5/4 + 2*s**4/3 + 2*s**3/3 - 22*s + 1. Factor h(u).
u*(u + 1)*(u + 2)**2
Determine i so that 0*i - 7 - 3*i**2 - i**3 + 0 + i + 17 - 7 = 0.
-3, -1, 1
Find a, given that -3/10*a - 1/10*a**2 - 1/5 = 0.
-2, -1
Let g(x) be the third derivative of 1/120*x**4 - 1/100*x**5 + 0*x - 1/150*x**6 - 2*x**2 + 0 + 0*x**3. Determine w so that g(w) = 0.
-1, 0, 1/4
Find q, given that 107*q**2 + q**3 - 104*q + 186*q**2 + 2 - 190*q**2 - 2 = 0.
-104, 0, 1
Suppose 0 = 3*z - 28*z. Let f(i) be the second derivative of 1/120*i**5 + 0 - 1/252*i**7 + 6*i + z*i**6 + 0*i**3 + 0*i**4 + 0*i**2. Let f(v) = 0. What is v?
-1, 0, 1
Factor -14/15*g + 0 - 2/15*g**2.
-2*g*(g + 7)/15
Suppose 18*l = 8*l + 260. Suppose 7*p - l - 2 = 0. What is z in 8/3*z**3 - p*z**2 - 2/3 + 8/3*z - 2/3*z**4 = 0?
1
Let d be 6 + 1/2 + 104/(-16). Factor -j**2 - j - 1/4*j**3 + d.
-j*(j + 2)**2/4
Let b(a) = -31*a**4 - 95*a**3 - 50*a**2 + 50*a + 9. Let o(x) = 16*x**4 + 48*x**3 + 24*x**2 - 24*x - 4. Let s(p) = -4*b(p) - 9*o(p). Factor s(f).
-4*f*(f + 1)*(f + 2)*(5*f - 2)
Let w(m) be the first derivative of -7*m**6/18 + 16*m**5/15 - 11*m**4/12 + 2*m**3/9 + 88. Suppose w(s) = 0. What is s?
0, 2/7, 1
Let m(q) = q + q - 1 - 3*q + q**4 + 2. Let f(a) = 9*a**4 + 2 - 3 - 63*a**3 + 73*a**3 - 14*a. Let h(y) = -f(y) + 4*m(y). Factor h(v).
-5*(v - 1)*(v + 1)**3
Let f(q) be the third derivative of 0*q**4 + 0 + 0*q + 0*q**6 + 1/420*q**7 + 8*q**2 + 1/1344*q**8 + 0*q**5 + 0*q**3. Find g, given that f(g) = 0.
-2, 0
Let t be 24/(-18)*3/(-14)*7. Let h(z) be the first derivative of -3/5*z**5 + 3/4*z**4 - 3/2*z**t + z**3 - 5 + 0*z. Factor h(u).
-3*u*(u - 1)**2*(u + 1)
Let j(t) be the first derivative of 3*t**4/4 - 3*t**3 - 27*t**2/2 - 15*t - 91. Factor j(u).
3*(u - 5)*(u + 1)**2
Let j(y) be the first derivative of 2*y**3/21 + 19*y**2/7 + 36*y/7 - 87. Factor j(z).
2*(z + 1)*(z + 18)/7
Let w be (-3704)/38892 - 4/(-42)*22. Factor 0 + m + 1/5*m**w.
m*(m + 5)/5
Let i(x) = -4*x + 21. Let l be i(4). Suppose -l*r = -13*r + 24. Solve -2/7*c**r + 4/7*c**2 - 1/7*c**4 + 8/7*c + 0 = 0.
-2, 0, 2
Let u(k) = k**2 + 8*k + 16. Let b be u(-6). Suppose 0 = -5*x + 10, 3*t - x - 12 = -b*x. Factor 2/5 + 2/5*n**t + 4/5*n.
2*(n + 1)**2/5
Let u(p) = p**4 + p**3 + 15*p**2 + 27*p + 8. Let d(a) = 5*a**4 + 4*a**3 + 60*a**2 + 110*a + 31. Let m(q) = -4*d(q) + 18*u(q). Determine z so that m(z) = 0.
-2, -1, 5
Let u = 1111 + -1111. Let n(v) be the third derivative of u + 1/240*v**6 - 1/48*v**4 - 1/12*v**3 + v**2 + 0*v + 1/120*v**5. Factor n(s).
(s - 1)*(s + 1)**2/2
Let x(b) be the second derivative of -b**5/170 + b**4/17 - 5*b**3/51 - 97*b. Let x(a) = 0. Calculate a.
0, 1, 5
Factor -7*r**3 - 28*r - 40*r**2 - r**3 + 4*r**3 + 72 + 0*r**3.
-4*(r - 1)*(r + 2)*(r + 9)
Suppose h + 17*j - 25 = 12*j, 2*j = -5*h + 10. Factor -3/4*b**4 + 0*b**3 - 3/4 + 3/2*b**2 + h*b.
-3*(b - 1)**2*(b + 1)**2/4
Let r(k) be the first derivative of 37 - 80*k**2 + 160*k - 10*k**3 - k**5 + 35/4*k**4. Factor r(o).
-5*(o - 4)**2*(o - 1)*(o + 2)
Let m(r) be the third derivative of -r**8/112 - r**7/14 - r**6/5 - r**5/5 + r**2 + 94*r. Factor m(a).
-3*a**2*(a + 1)*(a + 2)**2
Solve 3/2*v**2 + 1/4*v**3 + 1 + 9/4*v = 0.
-4, -1
Let l = 4780 + -4777. Solve 1/2*f**4 + f**l + 0*f + 1/2*f**2 + 0 = 0.
-1, 0
Let x = 965/17 + -10581/187. Solve 2/11*z**3 + 2/11*z**2 - 2/11*z**4 - x*z**5 + 0*z + 0 = 0.
-1, 0, 1
Let q(g) be the second derivative of -g**5/24 + 5*g**4/48 + 5*g**3/6 + 6*g**2 - 11*g. Let d(u) be the first derivative of q(u). Suppose d(b) = 0. Calculate b.
-1, 2
Let d = 256/15 - 17. Let v(f) be the first derivative of -2/5*f - d*f**3 - 1 - 3/10*f**2. What is s in v(s) = 0?
-2, -1
Let i = 131 + -128. Let m(p) be the third derivative of -5*p**2 - 1/15*p**4 - 1/5*p**i + 0*p + 0 + 1/150*p**6 + 1/150*p**5. Determine o so that m(o) = 0.
-1, 3/2
Let q(z) be the third derivative of -z**5/450 - 7*z**4/90 - 13*z**3/45 + 306*z**2. Factor q(c).
-2*(c + 1)*(c + 13)/15
Factor 5*y**2 - 3/2 - 3/4*y**3 - 11/4*y.
-(y - 6)*(y - 1)*(3*y + 1)/4
Let t(p) = -p**3 - p**2 - p - 1. Let k(u) = 3*u**3 - 3*u**2 + u + 1. Let v(w) = -k(w) - t(w). Solve v(i) = 0 for i.
0, 2
Solve 60*n + 1/2*n**2 + 1800 = 0 for n.
-60
Let k(d) = 2*d**2 + 4*d + 12. Let t(g) = 29. Let x(v) = -39. Let c(i) = 4*t(i) + 3*x(i). Let u = -23 + 13. Let h(j) = u*c(j) - k(j). Factor h(b).
-2*(b + 1)**2
Suppose -3*m - 5*r - 34 = 0, 0 = -2*m + 42*r - 37*r + 44. Determine w so that -4/3*w - 1/3*w**m - 4/3 = 0.
-2
Let l(i) be the third derivative of i**5/20 + i**4/2 + 2*i**3 - 51*i**2. Find h, given that l(h) = 0.
-2
Let k(f) be the first derivative of 2*f**3/27 + 53*f**2/9 + 104*f/9 - 607. Solve k(p) = 0 for p.
-52, -1
Let t = 10 + -13. Let q(w) = w**2 + w - 3. Let m be q(t). Find i such that -2*i**4 + i**4 + 3 - 2*i**2 - 6*i + 1 + 6*i**m - i**4 = 0.
-1, 1, 2
Find z such that -273*z**4 - 8*z**5 + 12*z**5 + 253*z**4 + 32*z**3 - 16*z**2 = 0.
0, 1, 2
Let s(u) be the first derivative of 4*u**3 - 1/5*u**4 - 30*u**2 + 9 + 100*u. What is c in s(c) = 0?
5
Suppose -r = -x + 2, -r - r + 5*x - 13 = 0. Let l be (r - 2)/((-15)/60). Factor 16*t + 91*t**3 - 2 + 650*t**l + 529*t**3 + 184*t**2 + 2.
2*t*(5*t + 2)**2*(13*t + 2)
Factor 99/2*f - 81/2 + 1/2*f**3 - 19/2*f**2.
(f - 9)**2*(f - 1)/2
Suppose -16/7*d**4 - 2430/7*d - 1458/7 - 232/7*d**3 - 1188/7*d**2 = 0. What is d?
-9/2, -1
Let w(r) be the second derivative of -2*r**5/5 - r**4/18 + 485*r. What is x in w(x) = 0?
-1/12, 0
Let q be (-63)/21 - -7*(2 - -1). Suppose -2*o + q = 4*o. Determine g so that 0*g**2 + 2/5*g + 0 - 2/5*g**o = 0.
-1, 0, 1
Let o = 9971 + -9969. Factor 3/5*k + 3/5*k**o - 6/5.
3*(k - 1)*(k + 2)/5
Suppose 2*n = -5*w + 9, -5*w = 3*n - 6*w - 22. Suppose 0 = -11*l + n*l - 0*l. Let 0 + 3/2*f**4 + 0*f - 1/2*f**5 - f**3 + l*f**2 = 0. What is f?
0, 1, 2
Let o(v) = -60*v**3 - 1584*v**2 - 1056*v + 32. Let b(d) = -12*d**3 - 317*d**2 - 211*d + 6. Let c(r) = -16*b(r) + 3*o(r). What is a in c(a) = 0?
-26, -2/3, 0
Let z(l) be the second derivative of 14*l**6/15 + 12*l**5/5 - 32*l**4/3 - 32*l**3 + 32*l**2 - 144*l. Factor z(s).
4*(s - 2)*(s + 2)**2*(7*s - 2)
Suppose 0 = 5*d - 9 - 11. Suppose -z = -5, -d*u + 3*z - 5 = 2. Factor -q + 5*q - 4*q + q**3 + 3*q**u.
q**2*(q + 3)
What is u in -1/4*u**5 + 0 + u**4 + u - u**2 - 3/4*u**3 = 0?
-1, 0, 1, 2
Suppose -3*k = -4*o - 0*k - 20, 5*o + 25 = 4*k. Let z(q) = -q + 1. Let g(h) = -4*h**2 - 10*h + 4. Let y(b) = o*z(b) + g(b). Solve y(j) = 0 for j.
-1, -1/4
Let v(f) be the second derivative of -15*f + 0*f**2 - 3/110*f**5 + 0 + 2/33*f**4 + 4/33*f**3 - 4/165*f**6 - 1/231*f**7. Let v(a) = 0. What is a?
-2, -1, 0, 1
Let o(l) be the second derivative of l**4/27 + 14*l**3/9 + 40*l**2/9 - l. Factor o(t).
4*(t + 1)*(t + 20)/9
Find y, given that -3*y**4 - 4/3*y**5 + 0*y + 8/3*y**2 + 0 + 10*y**3 = 0.
-4, -1/4, 0, 2
Let r = 33878 - 677397/20. Let c = r + -37/5. Factor -1/2*l**2 + 1/4*l**3 + 0 + 0*l + c*l**4.
l**2*(l + 1)*(3*l - 2)/4
Suppose 3*g + 3*d = 18, -12 = -72*g + 74*g - 4*d. Factor 0*m + 2/13*m**g + 0 - 4/13*m**3 + 2/13*m**4.
2*m**2*(m - 1)**2/13
Find l such that 75/4*l - 5/4*l**2 + 20 = 0.
-1, 16
Let n be (-1)/6 - (-20)/24. Factor -1/3*s + 0 - 1/3*s**2 + n*s**3.
s*(s - 1)*(2*s + 1)/3
Factor -66/7*a - 2/7*a**2 + 0.
-2*a*(a + 33)/7
Let f = 24 - 21. Let -2*u**3 + 20*u**4 - 7*u + 2 - 8*u**5 - 13*u - 25*u**2 + 12*u**f - 6 = 0. What is u?
-1/2, 2
Let k be (-30)/(-7) + (-14)/49. Factor 0 + 3/7*h**2 + 6/7*h**3 + 0*h + 3/7*h**k.
3*h**2*(h + 1)**2/7
Let k(p) be the third derivative of -p**8/161280 + p**7/8064 - p**6/1440 + p**5/5 - 13*p**2. Let s(h) be the third derivative of k(h). Solve s(c) = 0.
1, 4
Let z be (-4718)/945 + (-10)/(-2). Let o(v) be the second derivative of z*v**6 + 0 + 1/6*v**4 + 1/18*v**5 + 2/9*v**2 + 7/27*v**3 - 5*v.