) = -4*l**3 - 36*l**2 - 104*l - 84. Let v(k) = -4*k**3 - 36*k**2 - 106*k - 85. Let u(q) = -5*c(q) + 4*v(q). Factor u(a).
4*(a + 2)**2*(a + 5)
Let -4/3*c**4 + 4/3*c**2 + 16/9*c**3 + 2/9*c**5 - 2*c + 0 = 0. What is c?
-1, 0, 1, 3
Let d(a) = 108*a + 651. Let f be d(-6). Let w(h) be the second derivative of 0 + 0*h**5 + 0*h**2 - 5/42*h**7 + 0*h**f + 0*h**4 - 9*h + 1/6*h**6. Factor w(i).
-5*i**4*(i - 1)
Let w(z) be the first derivative of -z**4/12 - z**3/9 + 3*z**2/2 + 3*z + 319. Determine c so that w(c) = 0.
-3, -1, 3
Let s(f) = -5*f**2 + 7*f + 6. Let l(y) = -y**2 + y + 1. Suppose 0 = 4*m + 4*h + 36, -m - 12 = 2*h - 0*h. Let i(t) = m*l(t) + s(t). Let i(w) = 0. What is w?
-1, 0
Let t(v) = v - 7. Let h be t(6). Let g be (-50)/(-175) + 0/(h/(-1)). Factor 0 - g*m**2 + 4/7*m.
-2*m*(m - 2)/7
Suppose 40 + 40 = 20*r. Let n(h) be the first derivative of -1 + 0*h**3 + 0*h + 9/5*h**5 + 0*h**2 + 3/2*h**r + 1/2*h**6. Factor n(v).
3*v**3*(v + 1)*(v + 2)
Let y be -4 + (-7 + 315/27 - 16/(-12)). Let 1/5*s**y - 2/5 + 1/5*s = 0. What is s?
-2, 1
Let y(l) = -l**5 - l**4 + l**3 + l**2. Let b(g) = 3*g**4 + 2*g**2 - 5*g**2 + g**4 - g**4 + 2*g**5 - 2*g**3. Let r(u) = b(u) + 3*y(u). Factor r(d).
-d**3*(d - 1)*(d + 1)
Suppose 3*o = 45*o + 7*o. Suppose 0 = -4*w + 3*i + 8, -5*w - 3*i + 10 = i. Factor -2/3*m - m**w + 1/3*m**3 + m**4 + o + 1/3*m**5.
m*(m - 1)*(m + 1)**2*(m + 2)/3
Let o(d) be the first derivative of -d**5/5 + 3*d**4/8 - d**3/6 - 20. Factor o(n).
-n**2*(n - 1)*(2*n - 1)/2
Let p(i) = 7*i**4 + 5*i**3 - 3*i**2. Let o(s) = -64*s**4 - 44*s**3 + 28*s**2. Let l be 1389/45 + -3 + (-4)/(-30). Let g(m) = l*p(m) + 3*o(m). Factor g(c).
4*c**3*(c + 2)
Let b(s) be the third derivative of s**8/3360 - s**7/525 + s**6/200 - s**5/150 + s**4/240 - 15*s**2. Let b(d) = 0. What is d?
0, 1
Suppose 3*o = g + 19, g + 0*g = -o + 1. Let k(z) = 3*z**3 - 10*z**2 - 12*z - 4. Let d(r) = 4*r**3 - 11*r**2 - 13*r - 5. Let a(w) = g*d(w) + 5*k(w). Factor a(c).
-c*(c + 2)*(c + 4)
Factor -15*k + 9*k**2 - 4*k**2 - k**2 + 32 - 21*k.
4*(k - 8)*(k - 1)
Let x(j) be the first derivative of 3/5*j**2 + 2/5*j + 6 + 2/5*j**3 + 1/10*j**4. Factor x(d).
2*(d + 1)**3/5
Let p(a) be the second derivative of 1/7*a**3 + 0*a**2 + 1/70*a**5 + 0 - 2/21*a**4 - 14*a. Factor p(j).
2*j*(j - 3)*(j - 1)/7
Let g be (3/(-12))/(3/(-24)). Suppose -4*o - g*l = -10, 3 = 3*o + 5*l - 8. Factor 5*b**5 + 125*b**3 - 93*b**2 - 97*b**o + 22*b + 114*b - 40 + 4*b - 40*b**4.
5*(b - 2)**3*(b - 1)**2
Let d(f) = f**2 + 5*f - 4. Let w be d(-6). Suppose -7*v - 32 = -11*v. Factor 0*t**2 + 2*t**w + t**2 - v*t + t**2.
4*t*(t - 2)
Let a(n) = -2*n**2 - 1273*n + 81948. Let g(b) = -b**2 - 1274*b + 81944. Let i(r) = 6*a(r) - 7*g(r). Determine s so that i(s) = 0.
128
Let u be 14730/(-105) + 6/21. Let r = -418/3 - u. Factor r*l**2 + 6 + 4*l.
2*(l + 3)**2/3
Let h(s) be the third derivative of 83*s**7/420 + s**6/120 - 83*s**5/120 - s**4/24 + 15*s**2 - 13. Factor h(x).
x*(x - 1)*(x + 1)*(83*x + 2)/2
Let l(p) = -2*p**2 + 36*p - 34. Let v(s) = 17*s**2 + 4*s + 4. Let g be v(-1). Let z be l(g). Factor z + 0*r**2 + 0*r + 1/5*r**3.
r**3/5
Let c = -52 - -56. Let m(k) be the second derivative of -1/30*k**5 + 2*k**2 - 10*k + 10/27*k**c - 13/9*k**3 + 0. Determine q, given that m(q) = 0.
2/3, 3
Suppose -5*t + 18 = 3*j - 22, 16 = -3*j + 2*t. What is n in j*n + 0 + 1/12*n**3 + 1/12*n**2 = 0?
-1, 0
Let x(h) = -h - 27. Let a be x(-7). Let c be 3 - a/(-14) - 1. Find z such that c*z**4 + 2/7*z**3 + 0 - 2/7*z**5 - 4/7*z**2 + 0*z = 0.
-1, 0, 1, 2
Let z = 80 - 78. Factor -63*k - 23*k + k**4 + 63*k**z + 5*k + 17*k**3.
k*(k - 1)*(k + 9)**2
Let l(r) be the second derivative of -r**7/14 + 3*r**6/5 - 6*r**5/5 - 4*r + 20. Factor l(a).
-3*a**3*(a - 4)*(a - 2)
Factor -83*k**3 - 60*k**3 - 288 + k**4 + 102*k**2 + 168*k**3 + 64*k**2 + 96*k.
(k - 1)*(k + 2)*(k + 12)**2
Let k(s) = 2*s**3 - 2*s**2 + 2*s + 2. Let h(i) be the first derivative of i**4/2 - i**3 + 3*i**2/2 + i + 3. Let c(w) = 4*h(w) - 3*k(w). Solve c(d) = 0.
1
Suppose -114*l + 64/5*l**2 + 180 - 2/5*l**3 = 0. What is l?
2, 15
Let x be (15 - 15)/(-3 - -7 - 2). Find d, given that x + 1/8*d**2 + 1/8*d = 0.
-1, 0
Let m = -72 - -77. Factor 0*p**4 - 5*p**2 - 5*p**4 - 3*p**4 + m*p**5 - 7*p**4 + 15*p**3.
5*p**2*(p - 1)**3
Suppose -4*m + 3*m = -4. Suppose -7 = 3*h - 22. Factor -m*l**2 + 0*l**2 - 3*l**3 + 0*l**3 + h*l**3.
2*l**2*(l - 2)
Let m be ((-20)/6)/((-2)/3). Suppose -4*r = m*q + 7, 0 = -r + 2*q + 1 + 7. Solve 6 + 0 + 9*j**3 - 4*j**r - 15*j + 10*j**2 - 6*j = 0.
-2, 1/3, 1
Let v(g) be the first derivative of -2/15*g**3 + 0*g + 1/10*g**4 + 0*g**2 + 28. Find w such that v(w) = 0.
0, 1
Let z(x) be the first derivative of -25*x**6/6 - 8*x**5 + 59*x**4/4 + 170*x**3/3 + 64*x**2 + 32*x - 61. Determine s so that z(s) = 0.
-1, -4/5, 2
Let m = -50 + 50. Let k be -15 - -16 - (m + 18/22). Factor -k*a**3 - 2/11*a + 0 - 4/11*a**2.
-2*a*(a + 1)**2/11
Let v(f) be the second derivative of -f**5/20 + f**4/12 + f. Let h be v(0). Factor -4*l**3 - l**3 - 4*l**3 + 6*l + 3*l**2 + h*l**3.
-3*l*(l - 1)*(3*l + 2)
Let r(l) = -l - 10*l**3 + 1 + 11*l**3 + l**2 - 2 + 2. Let d(x) = 13*x**3 + 19*x**2 - 11*x + 3. Let a(v) = -2*d(v) + 6*r(v). Factor a(k).
-4*k*(k + 2)*(5*k - 2)
Let b = -1094 - -1101. Let p(r) be the third derivative of 0*r - 1/240*r**6 + b*r**2 + 1/120*r**5 + 0*r**3 + 0 + 0*r**4. Factor p(d).
-d**2*(d - 1)/2
Let k(b) = b**2 - 18*b + 16. Let w be k(17). Let f be ((-4)/(-6))/(w/(-3)). What is j in -13*j**4 - 14*j**3 - 4*j**3 + 8*j**4 + 8*j**4 + 27*j**f = 0?
0, 3
Let p be (-3)/(-7) - (-52042)/(-140). Let y = -733/2 - p. Factor 8/5 + y*z - 14/5*z**2.
-2*(z - 2)*(7*z + 2)/5
Let t(q) be the first derivative of -2*q**6/3 - 8*q**5/5 + 12*q**4 - 56*q**3/3 + 10*q**2 - 42. Factor t(z).
-4*z*(z - 1)**3*(z + 5)
Solve -16*t**2 + 32/3 + 20*t + 5/3*t**3 = 0.
-2/5, 2, 8
Let y(p) = -92*p**3 - 24*p**2 + 4*p + 16. Let i(f) = -29*f**3 - 8*f**2 + f + 5. Let m(n) = 16*i(n) - 5*y(n). What is d in m(d) = 0?
-1, 0
Let g(c) be the second derivative of c**7/195 + 37*c**6/780 + c**5/39 - 16*c**2 - 37*c. Let p(n) be the first derivative of g(n). Factor p(r).
2*r**2*(r + 5)*(7*r + 2)/13
Let q(z) = -9*z**2 - 213*z - 2699. Let y(g) = 44*g**2 + 1064*g + 13496. Let p(n) = -24*q(n) - 5*y(n). Factor p(i).
-4*(i + 26)**2
Let i(d) be the second derivative of 7*d**5/5 + 17*d**4/3 + 4*d**3/3 - 16*d**2 + 10*d. Factor i(u).
4*(u + 1)*(u + 2)*(7*u - 4)
Let b = 68 + -66. Factor -3*w**3 - 7*w**b - 9*w**2 + 7*w**4 - 13*w**3 - 11*w**4.
-4*w**2*(w + 2)**2
Suppose -g + 5*g = -7*g. Let m(q) be the third derivative of g*q**3 - 1/150*q**6 + 1/10*q**4 + 0*q + 9*q**2 + 0 - 2/75*q**5. Factor m(x).
-4*x*(x - 1)*(x + 3)/5
Factor 4/3*b + 1/3*b**2 + 0 - 1/6*b**3.
-b*(b - 4)*(b + 2)/6
Let o(y) be the first derivative of -y**3/3 + 6*y**2 - 35*y + 327. Factor o(d).
-(d - 7)*(d - 5)
Let n(p) be the first derivative of -1/3*p**6 - 1/3*p**2 + 4/15*p**5 + 2/3*p**4 - 4/9*p**3 - 9 + 0*p. Find i such that n(i) = 0.
-1, -1/3, 0, 1
Suppose 3*z + 36 = -0*z. Let g = -10 - z. Factor -7*a**g - 2*a**4 + 2 + 7*a**2 + 4*a - 4*a**3.
-2*(a - 1)*(a + 1)**3
Let p(r) be the second derivative of -r**6/30 - 3*r**5/10 - 3*r**4/4 + r - 46. Suppose p(z) = 0. Calculate z.
-3, 0
Suppose 155*h - 151*h - 60 - 120 = 0. What is b in 27/2 + 3/2*b**5 + 99/2*b + 27/2*b**4 + h*b**3 + 69*b**2 = 0?
-3, -1
Let o(b) be the third derivative of -b**8/1176 - 2*b**7/245 - 3*b**6/140 - 2*b**5/105 + 30*b**2. Find d, given that o(d) = 0.
-4, -1, 0
Find t such that -182*t**2 - 72 + 76*t - 182*t**2 + 537*t**2 - 177*t**2 = 0.
1, 18
What is d in -1/2*d - 2 + 1/4*d**2 = 0?
-2, 4
Suppose 2*h - 60 = -3*j - 47, -5*j + 9 = -3*h. Factor 0*y + 4/7*y**5 + 4/7*y**2 - 4/7*y**4 - 4/7*y**j + 0.
4*y**2*(y - 1)**2*(y + 1)/7
Let l(n) be the first derivative of 0*n - 2/9*n**3 + 21 + 1/3*n**2. What is g in l(g) = 0?
0, 1
Let i(l) = -l**5 + 7*l**4 + 9*l**3 + 7*l**2 - l. Let v(b) = b**2 + 2*b**4 + 0*b**4 - 7*b**4 + b**3 + 6*b**4. Let x(h) = -4*i(h) + 28*v(h). Factor x(s).
4*s*(s - 1)**2*(s + 1)**2
Suppose -2*m + 4*g = -8, -4*m + 2*g + 3*g = -13. Factor 4*z**2 - 19*z**2 + 2*z - 2*z**4 - 12*z**3 - 18*z - 9*z**m.
-2*z*(z + 2)**3
Let b be 0 + (-10)/25 - (-6436)/(-10). Let x = b - -3232/5. What is j in -84/5*j**4 + x*j + 84/5*j**2 - 147/5*j**5 + 27*j**3 + 0 = 0?
-1, -2/7, 0, 1
Suppos