he first derivative of 2*j**3/27 + 98*j**2/9 + 4802*j/9 + 201. Factor p(v).
2*(v + 49)**2/9
Let c(l) be the third derivative of -l**6/60 + l**5/15 + l**4/4 - 2*l**2 + 118. Determine p so that c(p) = 0.
-1, 0, 3
Suppose -4*z - 22 = m, m = 5*z - 10 + 42. Factor 4/19*h**m - 2/19*h - 4/19 + 2/19*h**3.
2*(h - 1)*(h + 1)*(h + 2)/19
Determine s, given that 8/5*s**3 - 2 - 2/5*s**4 + 12/5*s**2 - 8/5*s = 0.
-1, 1, 5
Let b(u) be the first derivative of u**4/28 - 25*u**3/21 + 12*u**2 - 144*u/7 + 40. Factor b(n).
(n - 12)**2*(n - 1)/7
Let r(g) be the third derivative of g**7/420 - g**6/15 + 7*g**5/60 + g**4/3 - 5*g**3/4 - 360*g**2. Factor r(w).
(w - 15)*(w - 1)**2*(w + 1)/2
Let x be (-32)/240*(-35)/(-3). Let y = x - -17/9. Let -1/3*d**2 + 0 + y*d = 0. What is d?
0, 1
Let f(a) be the third derivative of -a**7/1365 + a**6/195 - a**5/130 - a**4/39 + 4*a**3/39 + 243*a**2 - 2. What is b in f(b) = 0?
-1, 1, 2
Let u be 376/660 + (-3 - 36/(-15)). Let t = 4/11 + u. Factor -t*c**2 - 1/3*c + 2/3.
-(c - 1)*(c + 2)/3
Suppose -1464 = -51*l - 1362. What is n in 0*n**l - 2/3*n**4 + 4/3*n - 4/3*n**3 + 2/3 = 0?
-1, 1
Let t(b) be the third derivative of b**5/30 + b**4/2 - 16*b**3/3 + 84*b**2. Solve t(c) = 0 for c.
-8, 2
Let m(c) be the third derivative of -2*c**5/75 + c**4/60 - 5*c**2 + 1. Determine l, given that m(l) = 0.
0, 1/4
Let n(s) be the third derivative of 3/80*s**6 + 0*s + 0*s**3 + 1/40*s**5 - 1/224*s**8 - 1/8*s**4 - 8*s**2 + 0 - 1/140*s**7. Find d such that n(d) = 0.
-2, -1, 0, 1
Let o(y) be the second derivative of 23*y**4/42 + y**3 - 2*y**2/7 + 148*y. Factor o(l).
2*(l + 1)*(23*l - 2)/7
Let u(j) be the third derivative of -j**7/630 - j**6/24 - 61*j**5/180 - 7*j**4/24 + 49*j**3/9 - 4*j**2 + 45*j. Let u(d) = 0. Calculate d.
-7, -2, 1
Suppose 0*n - 73 = -26*n - 21. Factor -k**n + 0*k - 2*k**3 + 0 - 1/4*k**5 - 5/4*k**4.
-k**2*(k + 1)*(k + 2)**2/4
Suppose 0*n + n - 4 = 0. Factor 10*f - 2*f**5 - n*f**3 - f**2 - 4*f**3 + 8*f**4 - 4 + 0*f**3 - 3*f**2.
-2*(f - 2)*(f - 1)**3*(f + 1)
Suppose -2*b = -0*b + 14. Let a(l) = l**3 + 6*l**2 - 8*l - 5. Let d be a(b). Let -6*g**4 - 3*g**5 + g**5 - 4*g**3 + 2 + 6*g + 0*g**4 + 4*g**d = 0. Calculate g.
-1, 1
Let g(j) be the third derivative of -j**8/5040 + j**7/1260 - j**6/1080 - 13*j**3/6 - 34*j**2. Let u(m) be the first derivative of g(m). Solve u(x) = 0.
0, 1
Suppose -34*p - 68 = -51*p. Let f be (2 + -1)*-5*p/(-8). Factor 1/2*h**5 + 2*h**4 + 0*h + f*h**3 + 0 + h**2.
h**2*(h + 1)**2*(h + 2)/2
Let m(o) = -o**2 + 5*o - 2. Let p be m(3). Suppose 25*j = -11 + 111. Factor -36*q**2 - 6*q - 2*q**j + 6*q**3 + 38*q**2 - p + 4*q**4.
2*(q - 1)*(q + 1)**2*(q + 2)
Let m = 21 + -17. Suppose 22*w - 9*w**4 + 135*w**2 + 8*w + 35*w + 44*w**m + 10 + 115*w**3 = 0. Calculate w.
-1, -2/7
Factor 0 + 6/7*m**2 + 1/7*m**3 - 16/7*m.
m*(m - 2)*(m + 8)/7
Let m(u) be the third derivative of -u**8/1512 - 8*u**7/945 - 75*u**2. Factor m(p).
-2*p**4*(p + 8)/9
Let o(r) be the third derivative of r**7/42 - 5*r**6/12 + 8*r**5/3 - 95*r**4/12 + 25*r**3/2 - 472*r**2. Factor o(i).
5*(i - 5)*(i - 3)*(i - 1)**2
Let p(w) be the first derivative of -21*w**4/4 - 159*w**3 + 69*w**2 + 218. Suppose p(v) = 0. What is v?
-23, 0, 2/7
Let y(s) be the third derivative of -s**8/336 - 23*s**7/630 - 29*s**6/180 - 5*s**5/18 - s**4/24 + s**3/2 - 35*s**2 + 2. Determine z so that y(z) = 0.
-3, -1, 1/3
Let h(b) be the second derivative of b**6/90 + 7*b**5/15 + 49*b**4/6 - 5*b**3 + 18*b. Let z(g) be the second derivative of h(g). Let z(p) = 0. Calculate p.
-7
Let r be 3*6/(-27) - 4/3. Let n be ((-36)/132)/(3/r). Factor 2/11 + 2/11*d**3 - 2/11*d**2 - n*d.
2*(d - 1)**2*(d + 1)/11
Let n be 50/16 - (102/48 + -2). Suppose 2*s - 13 = -6*v + n*v, -v = 5*s - 13. What is a in 0*a**2 - 2/3 - 4/3*a + 2/3*a**4 + 4/3*a**v = 0?
-1, 1
Let c(k) be the second derivative of 0 + 1/3*k**2 - 1/18*k**4 - 16*k + 0*k**3. Solve c(o) = 0.
-1, 1
Let z(h) = 2*h. Let m(f) = f + 3. Let g be m(-2). Let t be z(g). Find n, given that -n**2 + 1 - t - 3 + 4*n + 1 = 0.
1, 3
Let z(w) be the third derivative of 0*w + 0 + 3/40*w**6 + 0*w**3 + 16*w**2 + 1/8*w**4 + 3/20*w**5 + 1/70*w**7. Solve z(p) = 0 for p.
-1, 0
Let p(h) = h**3 + 37*h**2 + 93*h - 300. Let i be p(-34). Factor 9/2 + 33/2*t - i*t**2.
-3*(t - 3)*(4*t + 1)/2
Let t(g) be the third derivative of 1/40*g**5 + 0*g - 13*g**2 - 3/160*g**6 + 0*g**3 + 0*g**4 + 0 + 1/448*g**8 + 0*g**7. Factor t(x).
3*x**2*(x - 1)**2*(x + 2)/4
Let u(d) be the first derivative of -5*d**6/6 + 6*d**5 - 15*d**4 + 40*d**3/3 + 299. Solve u(z) = 0.
0, 2
Suppose 5*m + 21 - 42 = 3*b, 4*m - 30 = -2*b. Factor -2/7*y**4 + 0*y + 0 + 4/7*y**b + 6/7*y**2.
-2*y**2*(y - 3)*(y + 1)/7
Let -37/2*g**4 - 8 + 52*g**3 + 40*g - 68*g**2 + 5/2*g**5 = 0. Calculate g.
2/5, 1, 2
Factor 11*y**2 - 117 + 8*y - 7*y**2 + 57.
4*(y - 3)*(y + 5)
Let n = 158 - 163. Let s(p) = -7*p - 32. Let j be s(n). Factor -4/7 + 6/7*d**j + 2/7*d**2 + 2/7*d**4 - 6/7*d.
2*(d - 1)*(d + 1)**2*(d + 2)/7
Factor 7/2*x + 0 + 5/4*x**4 + 19/4*x**2 - 19/2*x**3.
x*(x - 7)*(x - 1)*(5*x + 2)/4
Let o(l) = 2*l**5 + l**4 - l**3 + l**2 + l. Let d(v) = 6*v**5 + 8*v**4 + 2*v**3 - 12*v**2 + 12*v. Let p(y) = -d(y) + 4*o(y). Factor p(j).
2*j*(j - 2)*(j - 1)**2*(j + 2)
Let d(p) = p**3 + p**2 + p + 1. Let o(l) = 0*l**2 - 6 - 440*l**3 + 2*l**2 - 16*l + 436*l**3. Let i(v) = 6*d(v) + o(v). Factor i(w).
2*w*(w - 1)*(w + 5)
Suppose 2*q + 3*p = -97 + 115, 5*q + 5*p = 35. What is y in -6/11*y**q + 10/11*y**2 + 0 - 4/11*y = 0?
0, 2/3, 1
Let t(w) = -w**2 - 3*w + 8. Let b(m) = -2. Let c(k) = -k**2 - 3*k + 8. Let i be c(-5). Let l(a) = i*t(a) - 10*b(a). Factor l(y).
2*(y + 1)*(y + 2)
Let h(g) be the second derivative of -g**5/140 + 5*g**4/84 - g**3/6 + 3*g**2/14 + 45*g - 3. Suppose h(s) = 0. Calculate s.
1, 3
Let c = -1951/36 - -490/9. Let u(w) be the first derivative of -c*w + 1/4*w**2 - 1/12*w**3 + 5. Factor u(o).
-(o - 1)**2/4
Let q(m) be the first derivative of -m**8/336 - m**7/210 + m**6/120 + m**5/60 - 3*m**2/2 - 4. Let r(w) be the second derivative of q(w). Factor r(g).
-g**2*(g - 1)*(g + 1)**2
Suppose 8 = -0*r + 2*r. Suppose n - r = -n. What is v in 5*v**3 - 6*v**3 - v + 0*v**3 - 2*v**n = 0?
-1, 0
Determine s, given that 1/8*s**4 + 1/8*s**3 + 0 + 0*s + 0*s**2 = 0.
-1, 0
Let s = -1083 + 1091. Let r(p) be the second derivative of 0*p**2 - 1/30*p**7 + 2/15*p**4 + 0*p**3 + 1/5*p**6 - s*p - 9/25*p**5 + 0. Factor r(g).
-g**2*(g - 2)**2*(7*g - 2)/5
Let p(u) = 2*u**2 - 2*u - 5. Let o be p(3). Suppose 5*h = o + 8. Determine c so that 4*c**2 + h*c**2 - 5*c**2 + 2*c**2 = 0.
0
Suppose 10*c - 10 = 40. Let h(i) be the third derivative of 0 - 1/80*i**c - 1/4*i**4 - 6*i**2 + 0*i - 2*i**3. Factor h(n).
-3*(n + 4)**2/4
Let f(k) be the first derivative of 2*k**5/65 - 16*k**4/13 + 170*k**3/13 + 32*k**2/13 - 512*k/13 - 412. Solve f(m) = 0 for m.
-1, 1, 16
Factor 978/5*q**3 + 2/5*q**5 + 72/5*q**4 + 1228*q**2 + 3480*q + 3600.
2*(q + 3)**2*(q + 10)**3/5
Let h(t) be the second derivative of 2/45*t**5 - 16*t - 4/27*t**3 + 2/135*t**6 - 2/9*t**2 + 0 + 0*t**4. What is d in h(d) = 0?
-1, 1
Let h(u) be the second derivative of -u**4/48 - 19*u**3/24 + 84*u. Factor h(b).
-b*(b + 19)/4
Find p, given that 9/2*p**2 + 0 - 3/4*p**3 + 0*p = 0.
0, 6
Suppose 0*i + 34 = 5*n + 3*i, -i = 5*n - 28. Find t, given that -5*t**3 + 12*t**3 - n*t**3 = 0.
0
Factor -50/3*d + 625/3 + 1/3*d**2.
(d - 25)**2/3
Let p(k) be the first derivative of -1/720*k**6 + 8 + 1/48*k**4 + 0*k**2 - 7/3*k**3 + 0*k**5 + 0*k. Let x(w) be the third derivative of p(w). Factor x(t).
-(t - 1)*(t + 1)/2
Let u(d) be the third derivative of d**7/15120 + d**6/4320 - d**5/360 - d**4/2 - 5*d**2. Let b(g) be the second derivative of u(g). Suppose b(f) = 0. What is f?
-2, 1
Let z(p) be the first derivative of 12/7*p - 21 - 3/14*p**4 - 3/7*p**3 + 6/7*p**2 + 3/35*p**5. Find w such that z(w) = 0.
-1, 2
Let w(k) be the first derivative of k**6/10 - 3*k**5/10 - k**4 + k**3 + 9*k**2/2 - 9*k + 2. Let g(s) be the first derivative of w(s). Factor g(d).
3*(d - 3)*(d - 1)*(d + 1)**2
Let w(k) = 9*k**3 + 10*k**2 + 16*k. Let a(z) = 14*z**3 + 14*z**2 + 24*z. Let u(s) = -5*a(s) + 8*w(s). Suppose u(x) = 0. Calculate x.
-4, -1, 0
Factor -1/9*z**4 + 0 + 10/9*z**3 - 4/3*z**2 - 8*z.
-z*(z - 6)**2*(z + 2)/9
Let m(s) = -80*s - 1757. Let p be m(-22). Factor -1/3*n**p + 0 + 0*n - 1