e first derivative of -5*m**3/3 - 15*m**2 + 35*m - 55. Factor f(o).
-5*(o - 1)*(o + 7)
Let q(f) be the first derivative of -f**4/2 + 8*f**3/3 + 28*f**2 + 64*f - 162. Factor q(a).
-2*(a - 8)*(a + 2)**2
Suppose 2/3*l**3 + 14/3*l**2 + 8 + 32/3*l = 0. What is l?
-3, -2
Let y(a) be the third derivative of a**7/840 - 5*a**5/48 - 5*a**4/8 - 3*a**3/2 + 3*a**2 + 88*a. Let y(t) = 0. What is t?
-3, -2, -1, 6
Suppose -1/3*n**4 + 4/3*n**2 - 16/3*n + 4/3*n**3 + 0 = 0. What is n?
-2, 0, 2, 4
Factor 24/11 + 24/11*v + 6/11*v**2.
6*(v + 2)**2/11
Suppose -2/7*i**2 - 18/7 + 12/7*i = 0. Calculate i.
3
Let b(i) be the first derivative of -15/4*i**4 + 15/2*i**2 + 5/3*i**3 + 9 - 10*i + i**5. Let b(f) = 0. Calculate f.
-1, 1, 2
Let t(o) be the second derivative of o**7/21 - 17*o**6/15 + 53*o**5/5 - 145*o**4/3 + 325*o**3/3 - 125*o**2 - 7*o + 12. Find f such that t(f) = 0.
1, 5
Let h = -35 - -38. Let y(a) = a**3 - 5*a**2 + a - 3. Let v be y(5). Let 5*j**2 - 3*j**v + 15*j**3 - 16*j**h = 0. Calculate j.
0, 2
Let k(z) be the second derivative of -z**3/6 - z**2/2 - z. Let q be k(-1). Determine x, given that 1/3*x**3 + 1/3*x + q - 2/3*x**2 = 0.
0, 1
Factor -4537*c**5 - 9*c + 2*c**4 + 2*c**4 + 4536*c**5 - 12*c**2 + 2*c**3.
-c*(c - 3)**2*(c + 1)**2
Let f = -1 - 5. Let c(a) = -7*a**2 - 13*a + 4. Let d(j) = j**3 + 7*j**2 + 14*j - 4. Suppose -78*i - 60 = -66*i. Let b(y) = f*c(y) + i*d(y). Factor b(n).
-(n - 2)*(n + 1)*(5*n - 2)
Let d be 8*(-5)/10 - 666/(-167). Let u = 185/1503 + d. Factor 0 + u*w + 2/9*w**2 + 1/9*w**3.
w*(w + 1)**2/9
Let m(y) = -y**3 - 16*y**2 - 64*y - 731. Let b be m(-15). Factor 16/3*t + 8*t**2 + b*t**3 + 2/3*t**4 + 0.
2*t*(t + 2)**3/3
Let b(h) be the first derivative of -h**3/3 - 3*h**2 - 5*h + 16. Factor b(y).
-(y + 1)*(y + 5)
Factor 76*w**2 - 237*w**2 + 14*w - 1 + 87*w**2 + 89*w**2.
(w + 1)*(15*w - 1)
Suppose g - 14 = 3*g. Let v be (27/189)/(1*(-4)/g). Suppose -1/4*h**3 + 0 + 1/2*h**2 - v*h = 0. Calculate h.
0, 1
Let a(d) be the second derivative of -d**5/50 + 29*d**4/6 - 287*d**3/15 + 143*d**2/5 + 190*d. Factor a(m).
-2*(m - 143)*(m - 1)**2/5
Let m(z) be the first derivative of -z + 0*z**2 + 1/3*z**3 - 5. Let w(i) = -32*i**2 + 44*i - 12. Let u(q) = 20*m(q) - w(q). Determine k, given that u(k) = 0.
-2/13, 1
Let a(s) be the second derivative of s**4/6 - 82*s**3 + 15129*s**2 - 90*s. Find g such that a(g) = 0.
123
Let l(s) be the second derivative of -s**4/36 - 2*s**3/9 - s**2/2 + 18*s. Suppose l(m) = 0. Calculate m.
-3, -1
Let d(n) be the third derivative of -n**7/945 + 43*n**6/270 - 14*n**5/45 - 43*n**4/54 + 85*n**3/27 - 371*n**2. Suppose d(l) = 0. Calculate l.
-1, 1, 85
Let r be 9/(-48)*(-192)/216. Find w, given that -6 - 13/6*w**2 - r*w**3 - 8*w = 0.
-6, -1
Let i(f) = -3*f**5 + 20*f**4 + 10*f**3 - 62*f**2 - 43*f - 2. Let o(k) = -k**5 + k**2 - k + 1. Let l(v) = i(v) + 2*o(v). Factor l(u).
-5*u*(u - 3)**2*(u + 1)**2
Let x(u) be the second derivative of -u**5/60 - 7*u**4/18 + 16*u**3/9 - 303*u. Factor x(i).
-i*(i - 2)*(i + 16)/3
Let p = -6338/3 + 2121. Solve 10/3 + p*w + 5/3*w**3 + 20/3*w**2 = 0.
-2, -1
Factor 14*v - 76/3 - 2/3*v**2.
-2*(v - 19)*(v - 2)/3
Let k(t) = t + 1. Let a(x) = -5*x**2 + 56*x + 88. Let c(n) = -n**2 + 14*n + 22. Let j(u) = -2*a(u) + 9*c(u). Let w(p) = j(p) - 6*k(p). Factor w(f).
(f + 4)**2
Let t(g) be the second derivative of 1/15*g**5 + 0*g**4 + 7/2*g**2 - 2/3*g**3 + 0 + 3*g. Let v(b) be the first derivative of t(b). What is q in v(q) = 0?
-1, 1
Let k(u) be the second derivative of -u**4/18 - 11*u**3/9 - 28*u**2/3 + 121*u + 1. Suppose k(l) = 0. What is l?
-7, -4
Let v(m) be the second derivative of 2*m**6/15 - 4*m**5/5 - m**4 + 20*m**3/3 + 16*m**2 - 19*m. Factor v(o).
4*(o - 4)*(o - 2)*(o + 1)**2
Let s be 138/561 - (0 + 2*9/(-153)). Factor -4/11*d**4 + 2/11*d**5 + s*d**2 + 0*d**3 + 0 - 2/11*d.
2*d*(d - 1)**3*(d + 1)/11
Let w(h) be the first derivative of 13*h**4/24 + h**3/9 - 13*h**2/12 - h/3 - 31. Factor w(v).
(v - 1)*(v + 1)*(13*v + 2)/6
Suppose 664 + 46 = 71*x. Factor -x*j - 5/3*j**2 - 15.
-5*(j + 3)**2/3
Let i = 2152 + -129119/60. Let k(s) be the second derivative of -1/5*s**2 - 1/30*s**3 + 11*s + 0 + i*s**4. Factor k(a).
(a - 2)*(a + 1)/5
Let z be (3/(-2))/((-42)/168). Let u(d) be the first derivative of -1/5*d**5 - 1 - 1/4*d**2 + 1/12*d**z + 0*d + 0*d**4 + 1/3*d**3. Factor u(g).
g*(g - 1)**3*(g + 1)/2
Factor 18 + 3/5*n**2 + 33/5*n.
3*(n + 5)*(n + 6)/5
Let b(n) be the second derivative of 1/4*n**4 - 9/2*n**2 + 4*n + n**3 + 0. Factor b(l).
3*(l - 1)*(l + 3)
Let q(p) be the first derivative of -3*p**5/5 + 54*p**4 - 1944*p**3 + 34992*p**2 - 314928*p - 37. Let q(g) = 0. Calculate g.
18
Let x(g) be the second derivative of -g**6/200 + 3*g**5/100 - 3*g**2/2 + 9*g. Let v(q) be the first derivative of x(q). Suppose v(h) = 0. What is h?
0, 3
Let v(d) = -18*d**3 - 27*d**2 + 96*d - 27. Let a(g) = -3*g**3 - g**2 - g + 1. Let t(z) = 3*a(z) - v(z). Suppose t(h) = 0. Calculate h.
-5, 1/3, 2
Factor 4*p**3 - 576 - 348*p - 13*p**2 - 27*p**2 + 27*p**2 - 27*p**2.
4*(p - 16)*(p + 3)**2
Let v = -3/742 + 187/371. Suppose 0*j - 1/4*j**4 + 0 - 1/4*j**2 - v*j**3 = 0. What is j?
-1, 0
Let r(o) be the second derivative of 25*o**7/14 - 47*o**6/6 + 63*o**5/5 - 9*o**4 + 8*o**3/3 - 17*o - 2. Let r(m) = 0. What is m?
0, 2/5, 1, 4/3
Let v(c) be the first derivative of 4*c**3/3 - 12*c**2 - 64*c + 212. Suppose v(h) = 0. What is h?
-2, 8
Let m(r) be the third derivative of 0*r**3 + 0*r + 1/140*r**5 - 9*r**2 + 1/840*r**6 + 0 - 1/42*r**4. Factor m(b).
b*(b - 1)*(b + 4)/7
Suppose 0 = -5*b + 10. Let z = 4 - b. Factor z*y**4 + 9*y**2 + 15*y**3 - 6*y**2 + 10*y**4.
3*y**2*(y + 1)*(4*y + 1)
Factor -7/4*s + 0 - 3/2*s**2 + 1/4*s**3.
s*(s - 7)*(s + 1)/4
Let c(p) be the second derivative of -p**5/50 - 23*p**4/60 - 14*p**3/15 - 5*p**2 - 8*p. Let g(l) be the first derivative of c(l). Factor g(y).
-2*(y + 7)*(3*y + 2)/5
Let g(l) = 3*l**3 + 2*l**2 - 9*l - 4. Let x be g(-4). Let a = 131 + x. Suppose 0 - 3/4*y**a + 3/4*y**2 + 0*y = 0. Calculate y.
0, 1
Let d(m) be the second derivative of m**4/9 - 8*m**3/3 + 70*m**2/3 - 73*m + 1. Factor d(n).
4*(n - 7)*(n - 5)/3
Let a = 5 + -1. Suppose 4*z + a*h - 28 = 0, 0*z = -z - 2*h + 12. Factor z*d + 136*d**2 - 4*d - 135*d**2.
d*(d - 2)
Let q(s) = -2*s**3 - 8*s**2 + 3*s - 1. Let t(i) = -3*i**3 - 15*i**2 + 7*i - 1. Let g(n) = -5*q(n) + 3*t(n). Let p be g(2). Solve x - 2/3 - 1/3*x**p = 0.
1, 2
Let x(s) be the second derivative of 8*s**7/21 - 38*s**6/15 + 23*s**5/4 - 241*s**4/48 + 13*s**3/6 - s**2/2 - 52*s. Factor x(m).
(m - 2)**2*(4*m - 1)**3/4
Let u(x) be the first derivative of 3*x**4/8 - 2*x**3 + 3*x**2 - 81. Solve u(z) = 0 for z.
0, 2
Let d(k) = 4*k**4 - 40*k**3 - 32*k**2 + 84*k - 4. Let l(q) = -6*q**4 + 39*q**3 + 32*q**2 - 85*q + 5. Let x(u) = 5*d(u) + 4*l(u). Factor x(v).
-4*v*(v - 1)*(v + 2)*(v + 10)
Factor -8/3*d**2 - 4/3 + 10/3*d + 2/3*d**3.
2*(d - 2)*(d - 1)**2/3
Let p be (-200)/(16/(-4) - -5). Let z = p + 200. Factor -3/5*k**3 + 4/5*k + z*k**2 + 0 + 1/5*k**4.
k*(k - 2)**2*(k + 1)/5
Let p(m) be the second derivative of -m**7/105 + m**6/75 + 3*m**5/50 - m**4/6 + 2*m**3/15 - 68*m. Find q, given that p(q) = 0.
-2, 0, 1
Suppose 0 = 21*q + 18 - 60. Let h be (-115)/(-69) - ((q - 1) + -2). Determine g, given that 8/3*g**2 + 0 + 2/3*g**3 + h*g = 0.
-2, 0
Let c = -1279 + 1281. Determine k so that 9/8*k - 3/8*k**c + 0 = 0.
0, 3
Let q = 1351/156 - 328/39. Factor 3/2*i**3 - q*i**4 + 6*i**2 + 13/2*i + 9/4.
-(i - 9)*(i + 1)**3/4
Let v = 174 + -169. Let w be (-4)/6 + (-16)/(-6). Factor -6*r - 10*r - v*r**3 - 7*r**3 + 32*r**w.
-4*r*(r - 2)*(3*r - 2)
Let a = 1703/12 - 16523/120. Let q = -29/8 + a. Factor 0 + 1/5*d + q*d**3 - 1/5*d**4 - 3/5*d**2.
-d*(d - 1)**3/5
Let w(o) be the first derivative of -o**6/36 - 7*o**5/30 - 3*o**4/8 + 23*o**3/18 + 25*o**2/6 + 4*o - 185. What is p in w(p) = 0?
-4, -3, -1, 2
Solve 4*f + 30 + f**2 - 45*f + 19*f**2 - 14*f = 0.
3/4, 2
Let u(h) be the second derivative of -h - 1/2*h**2 - 1/200*h**6 + 1/5*h**3 - 1/8*h**4 + 0 + 1/25*h**5. Let g(x) be the first derivative of u(x). Factor g(r).
-3*(r - 2)*(r - 1)**2/5
Let i(o) be the third derivative of o**8/26880 - o**7/3360 + o**5/120 + 25*o**4/24 - 10*o**2. Let w(f) be the second derivative of i(f). What is m in w(m) = 0?
-1, 2
Let q(j) be the first derivative of 3*j**4/20 - 2*j**