)/((-5)/(-20)). Suppose -4/7*i**2 + 2/7*i**3 + t - 8/7*i = 0. Calculate i.
-2, 2
Let r(n) be the first derivative of -2*n**3/5 + 296*n**2/5 + 198*n/5 - 318. Suppose r(j) = 0. What is j?
-1/3, 99
Suppose 17*t - 84 = -11*t. Factor 5/3*f**4 + 0 - 5/3*f - 5*f**t + 5*f**2.
5*f*(f - 1)**3/3
Find p such that p**2 + 1110 - 565 - 457 - 46*p = 0.
2, 44
Let l(m) be the second derivative of 14*m + 1/20*m**5 + 0*m**2 + 1/3*m**4 + 2/3*m**3 + 0. What is a in l(a) = 0?
-2, 0
Determine m, given that -2/3*m**4 + 0*m**2 + 0*m + 0 + 4/3*m**3 = 0.
0, 2
Factor 19/3*r + 4/3*r**2 + 14/3 - 1/3*r**3.
-(r - 7)*(r + 1)*(r + 2)/3
Let u(f) = -f**5 - f**4 - 2*f**3 + f**2 + f + 1. Let k(b) = 8*b**5 + 10*b**4 + 23*b**3 - 10*b**2 - 17*b - 13. Let m(o) = -4*k(o) - 36*u(o). Factor m(i).
4*(i - 2)**2*(i + 1)**3
Suppose -23*p - 20*p**2 + 62*p**2 - 23*p**2 - 18*p**2 = 0. Calculate p.
0, 23
Suppose -11/3*f**2 - 4/3*f**5 + 11/3*f - 7/3*f**3 - 2/3 + 13/3*f**4 = 0. Calculate f.
-1, 1/4, 1, 2
Suppose -35*i - 962 = -1067. Find d such that 9/5 - 23/5*d**2 - 6*d - 4/5*d**i = 0.
-3, 1/4
Suppose 13 = -3*f - 17. Let c be (-4)/(-20) - 3/f. Factor -1/2*m + 1/2 - 1/2*m**2 + c*m**3.
(m - 1)**2*(m + 1)/2
Let 3/4 + g + 1/4*g**2 = 0. What is g?
-3, -1
Let p = 384 - 381. Let n(i) be the third derivative of 0*i**p - 1/48*i**4 + 1/240*i**5 + 0*i - 6*i**2 + 0. Factor n(g).
g*(g - 2)/4
Let w(u) be the second derivative of 0 + 1/60*u**6 + 25/24*u**4 - 15*u - 1/4*u**5 + 0*u**3 + 0*u**2. Let w(s) = 0. What is s?
0, 5
Let m be -8*(-48)/640 - 36/110. Find o such that 2/11*o + 1/11*o**2 + 0 - 1/11*o**4 - m*o**3 + 1/11*o**5 = 0.
-1, 0, 1, 2
Let b(g) be the third derivative of g**5/150 - g**4/20 - 4*g**3/15 + 3*g**2 + 21*g. Solve b(x) = 0 for x.
-1, 4
Let x be (-234)/(-63) - (5 + -2). Let y = 59/63 - x. Factor -y*v**2 - 2/3*v - 4/9.
-2*(v + 1)*(v + 2)/9
Let l(q) = -8*q**4 - 4*q**3 + 16*q**2 - 24*q + 4. Let i(s) = 9*s**4 + 5*s**3 - 17*s**2 + 28*s - 5. Let u(z) = 4*i(z) + 5*l(z). Solve u(m) = 0 for m.
-2, 0, 1
Let l = 31 + -28. Solve -16*c + l*c**2 + 25 + 0*c**2 + 2*c**2 + 46*c = 0.
-5, -1
Let p(x) be the second derivative of x**7/6300 - x**6/360 - 5*x**4/3 - 3*x. Let h(i) be the third derivative of p(i). Factor h(y).
2*y*(y - 5)/5
Factor -80*j + 57 - 80*j**2 + 42*j**2 + 18 + 43*j**2.
5*(j - 15)*(j - 1)
Determine v so that 16*v + 10/3*v**5 - 40/3 + 142/3*v**2 - 10/3*v**3 - 18*v**4 = 0.
-1, 2/5, 2, 5
Let r(k) = -k + 11. Let s be r(9). Suppose 25*g + 7*g**s + 0*g**2 - g**2 - 20 - 51*g = 0. Calculate g.
-2/3, 5
Suppose -94 = -5*d - 94. Let -2/17*q**3 + 0*q + 0 + d*q**2 = 0. Calculate q.
0
Let d(z) = -29*z**3 + 449*z**2 - 828*z + 459. Let u(k) = 7*k**3 - 112*k**2 + 207*k - 114. Let i(h) = -4*d(h) - 17*u(h). Factor i(y).
-3*(y - 34)*(y - 1)**2
Let k(l) be the second derivative of -21*l + 0*l**2 + 1/5*l**4 - 3/10*l**3 + 0. Determine m so that k(m) = 0.
0, 3/4
Find q, given that 4/5*q**2 + 0*q + 0 + 6*q**3 - 34/5*q**4 = 0.
-2/17, 0, 1
Let q be -23 - -28 - (22/(-44))/(2/(-14)). Let -5/4*c - 1/4 + q*c**2 = 0. What is c?
-1/6, 1
Let s(m) = 1 - m + 5 - 5 - m**2 - m**3. Let o(q) = -5*q**4 - 6*q**3 - 4*q**2 - 4*q + 4. Let y be 0*(-2 + 3) - 1. Let a(v) = y*o(v) + 4*s(v). Factor a(p).
p**3*(5*p + 2)
Let t(x) be the second derivative of 0*x**4 + 0 + 0*x**2 + 1/110*x**5 + 5*x + 0*x**3 + 1/231*x**7 - 2/165*x**6. Factor t(w).
2*w**3*(w - 1)**2/11
Suppose 3*s + s = 84. Let r = s + -17. Determine l so that -3 + 5*l**3 + 0*l**r - 2*l**5 + 5*l**5 - 6*l**2 + 9*l**4 + l**3 - 9*l = 0.
-1, 1
Suppose 0 - 10/7*v**3 + 0*v**2 - 2/7*v**4 + 0*v = 0. What is v?
-5, 0
Suppose -p - 4*w = -8, 4*p + 11*w = 13*w - 4. Find k, given that 0*k + 0*k**2 + 0 + 8/5*k**5 + p*k**3 + 4/5*k**4 = 0.
-1/2, 0
Solve 1058/7 + 2/7*g**2 + 92/7*g = 0 for g.
-23
Let f(k) be the third derivative of k**6/40 - 7*k**5/5 - k**4/8 + 14*k**3 - 106*k**2 - 2. Find p such that f(p) = 0.
-1, 1, 28
Let q(l) be the third derivative of l**7/420 - l**6/120 - 7*l**5/120 - l**4/12 + l**2 - 49. Find s such that q(s) = 0.
-1, 0, 4
Let l(o) be the first derivative of -o**4 - 5*o**3/3 + o**2 + 50*o - 33. Let r(b) be the first derivative of l(b). Suppose r(h) = 0. Calculate h.
-1, 1/6
Let p be (550/(-300))/(1/(-7)). Find v such that -16/3*v**2 + 0 - p*v**3 - 2/3*v - 49/6*v**4 = 0.
-1, -2/7, 0
Let v(s) = 7*s**2 - 8*s. Let o(z) = -22*z**2 + 24*z. Let l(i) = i**2 + 10*i + 14. Let q be l(-4). Let c(a) = q*v(a) - 3*o(a). Factor c(b).
-4*b*(b - 2)
Suppose 0*w + 8 = 2*w. Let f be (24/9)/(w/6). Find z, given that -3*z**4 + 4*z**f + 26*z**3 - 4 + 4*z**4 + 27*z**2 + 4*z + 2*z**4 = 0.
-2, -1, 2/7
Let u(r) = -3*r - 30. Let a be u(-10). Suppose -11*p + 25*p = a. Factor 0*i + p + 3/5*i**2 - 1/5*i**3.
-i**2*(i - 3)/5
Let o(t) = -t**3 + 2*t**2 + 5. Let r be o(0). Suppose 16*m**2 + r*m**3 + 5*m**5 + 12*m**4 - m**2 - 27*m**4 + 2*m - 12*m = 0. What is m?
-1, 0, 1, 2
Suppose -6*t - 16 = -10*t. Factor -3*v**2 + 5*v + 47 + v**t - v**3 - 26 - 23.
(v - 1)**3*(v + 2)
Let n(t) be the third derivative of t**5/15 + 2*t**4/3 - 10*t**3/3 - 32*t**2 - t. Factor n(z).
4*(z - 1)*(z + 5)
Suppose -4 = -126*q + 122*q. Let g(t) be the first derivative of 1/2*t**3 - t - 3/4*t**2 + q + 1/4*t**4. Factor g(w).
(w - 1)*(w + 2)*(2*w + 1)/2
Let g(o) = o**3 - o**2 - o + 54. Let t be g(0). Factor -32 + 22*b**2 - t*b**2 - 21*b**2 - 104*b + 12*b**4 - 16*b**3 - 47*b**2.
4*(b - 4)*(b + 1)**2*(3*b + 2)
Let o(g) = 5*g**2 - 136*g + 200. Let x(h) = -4*h**2 + 128*h - 201. Let d(y) = -3*o(y) - 4*x(y). Find r such that d(r) = 0.
2, 102
Let j be (-1)/(-1) - (-2)/1. Determine x, given that -3*x**3 + x**j - 4*x**3 + 2*x**3 - 4*x + 8*x**2 = 0.
0, 1
Let g(i) = -2*i**4 - 2*i**3 + 3*i**2 + 4*i + 1. Let y(q) = -q**4 - 2*q**3 - q**2. Let z(k) = -g(k) + 3*y(k). Factor z(v).
-(v + 1)**4
Suppose -29 = -q - 10. Suppose -24*c = -q*c - 20. Find i such that 0*i**2 - 1/4*i**5 + 0 + 0*i - 1/4*i**3 - 1/2*i**c = 0.
-1, 0
Let t = 85 - 76. What is d in -28*d**4 + 48*d**3 - 17*d - 2*d**2 + t*d - 10*d**2 = 0?
-2/7, 0, 1
Let l(s) be the second derivative of -s**6/30 - 7*s**5/90 + s**4/9 - s**3/2 + 12*s. Let h(b) be the second derivative of l(b). Factor h(k).
-4*(k + 1)*(9*k - 2)/3
Let j = 1560 + -6219/4. What is z in 1125/4*z - 625/4 - j*z**4 - 325/2*z**2 + 85/2*z**3 + 1/4*z**5 = 0?
1, 5
Let k(o) be the second derivative of 3/13*o**3 - 5/78*o**4 + 11*o - 4/13*o**2 + 0. Factor k(z).
-2*(z - 1)*(5*z - 4)/13
Let -76*q**2 + 112 + 146*q**2 - 44*q - 66*q**2 = 0. What is q?
4, 7
Let x(m) = -m + 12. Let r(h) = h**3 + 4*h**2 - 6*h + 4. Let d be r(-5). Let l be x(d). Factor 6*j**2 + j**4 - 6 + l + j**4 - 5*j**4.
-3*(j - 1)**2*(j + 1)**2
Suppose 0 = -d - 5*v - 8, 0*d + v = -d. Find o such that -2*o**2 - d*o**2 + 3 + 5 + 2*o**4 - 6 = 0.
-1, 1
Let j be 4/(-3)*18/(-12). Factor 4*a - 3*a**2 + 7*a**2 - 4*a**4 - 2*a**3 - j*a**3.
-4*a*(a - 1)*(a + 1)**2
Let u(m) be the third derivative of m**6/24 - m**5/6 - 134*m**2. Determine w so that u(w) = 0.
0, 2
Let k = 3 - 1. Suppose 4*x - o + 7 = 18, k*x + 5*o = -11. Suppose 6*j - j**x - 2 + 0*j**3 - 5*j**2 + 2*j**3 + 0*j**2 = 0. Calculate j.
1
Let x(s) be the third derivative of -s**6/420 + 81*s**2. Factor x(t).
-2*t**3/7
Let b(j) be the third derivative of j**5/12 + 15*j**4/8 + 20*j**3/3 + 2*j**2 - 84. Factor b(o).
5*(o + 1)*(o + 8)
Let y(g) be the first derivative of g**7/21 - 3*g**5/10 + g**4/3 - 13*g + 8. Let w(r) be the first derivative of y(r). Determine j, given that w(j) = 0.
-2, 0, 1
Let -6*c**5 - 57*c**4 + 2 + 3*c**5 + 60*c**3 - 13 + 11 = 0. What is c?
-20, 0, 1
Let t(r) be the second derivative of r**7/98 + r**6/70 - 9*r**5/70 - r**4/2 - 11*r**3/14 - 9*r**2/14 - 2*r - 60. Solve t(s) = 0.
-1, 3
Let g be (247/2)/19 - 5. Find a, given that -2*a**2 + g*a**4 - a + 1/2 + a**3 = 0.
-1, 1/3, 1
Suppose -4*g = 3*b, 4*b + 23*g - 27*g = 0. Let q(j) be the third derivative of -1/24*j**3 + 6*j**2 + 1/48*j**4 + b*j + 0 - 1/240*j**5. Let q(f) = 0. What is f?
1
Factor 0 + 4*h + 1/5*h**2.
h*(h + 20)/5
Suppose 0 = 5*n - 73 - 37. Suppose -10 = n*l - 27*l. Factor 2/7*k**l + 0*k + 2/7*k**4 - 4/7*k**3 + 0.
2*k**2*(k - 1)**2/7
Let q(p) be the third derivative of p**5/120 + p**4/48 - 3*p**2 - 4. Find o, given that q(o) = 0.
-1, 0
Factor 0*i - 9/7*i**2 + 1/7*i**3 + 0.
i**2*(i - 9)/7
Let m(d) be the third derivative of d**7/525 - d**6/60 + d**5/75 + 2*d**4/15 -