0 for i.
-1, 1, 3
Let u(q) be the first derivative of q**7/147 + q**6/35 + 3*q**5/70 + q**4/42 + q + 2. Let x(t) be the first derivative of u(t). Factor x(m).
2*m**2*(m + 1)**3/7
Let q = -4/669 + 3377/5352. Let m(h) be the second derivative of 13*h - 5/8*h**2 + 0 - q*h**3 - 5/16*h**4 - 1/16*h**5. Factor m(j).
-5*(j + 1)**3/4
Factor 81/5*f**3 + 0 - 3/5*f**4 + 171/5*f**2 + 87/5*f.
-3*f*(f - 29)*(f + 1)**2/5
Let t(d) be the first derivative of d**4/3 + 32*d**3/9 + 8*d**2 - 178. Determine p, given that t(p) = 0.
-6, -2, 0
Factor -24*a - 146 + 187*a**2 + 2 - 184*a**2.
3*(a - 12)*(a + 4)
Let x = 2800 - 8395/3. Suppose -x*u + 4/3 + 1/3*u**2 = 0. Calculate u.
1, 4
Solve -40*s**3 + 0*s - 120*s**2 + 0 + 5/4*s**5 + 5/2*s**4 = 0.
-4, 0, 6
Let y(a) be the second derivative of -a**4/60 - a**3/5 - a**2/2 - 209*a. Factor y(l).
-(l + 1)*(l + 5)/5
Let k(n) = -n**5 - 3*n**4 - n**2 + n - 1. Let l(m) = 28*m**3 + 48*m**2 - 28*m - 28. Let z(s) = 4*k(s) + l(s). Let z(g) = 0. What is g?
-4, -1, 1, 2
Let f = -4 + 8. Factor 0*t**4 - 7*t - 2*t**f - 2 + 4*t**4 + t**5 - 2*t**3 - 8*t**2.
(t - 2)*(t + 1)**4
Let r(y) be the first derivative of -1/36*y**4 + 0*y - y**2 - 4 - 2/9*y**3 + 1/90*y**5. Let j(h) be the second derivative of r(h). Factor j(a).
2*(a - 2)*(a + 1)/3
Let p(q) be the third derivative of -q**5/60 + 7*q**4/12 - 15*q**3/2 + 71*q**2. Factor p(a).
-(a - 9)*(a - 5)
Let 136*l - 5*l**5 - 20*l**4 - 136*l + l**5 - 28*l**3 - 12*l**2 = 0. Calculate l.
-3, -1, 0
Let f(k) be the second derivative of 0 + 1/4*k**5 + 0*k**2 + 0*k**3 + 5/12*k**4 - 2*k. Find i such that f(i) = 0.
-1, 0
Suppose -t + 11 = -4*q + 37, 0 = -4*q - 2*t + 20. Let 11/2*s**2 + 1/4*s**4 + 9/4 - q*s - 2*s**3 = 0. Calculate s.
1, 3
Let p be 195/12 - 1/4. Let y = -14 + p. Let 1 + 3*l**y + 1 - 1 - 4*l**2 = 0. What is l?
-1, 1
Let k(g) be the first derivative of -9/14*g**2 + 3/7*g + 3/7*g**4 + 2 + 0*g**3. Suppose k(q) = 0. What is q?
-1, 1/2
Suppose -4*l - 2/3*l**2 + 14/3 = 0. What is l?
-7, 1
Let u(j) be the third derivative of j**9/840 + j**8/140 + 4*j**7/315 - 5*j**4/12 + 25*j**2. Let c(p) be the second derivative of u(p). Factor c(l).
2*l**2*(3*l + 4)**2
Let h be 90/(-189) - (-3)/6. Let a(y) be the second derivative of 0*y**2 - 6*y + 0 + h*y**4 - 1/21*y**3. Determine l, given that a(l) = 0.
0, 1
Let k(d) be the third derivative of -d**5/20 - 3*d**4/4 - 5*d**3/2 + 32*d**2. Solve k(p) = 0 for p.
-5, -1
Let s(v) be the first derivative of 0*v - 14 + 3/4*v**4 - 3*v**2 - v**3. Suppose s(n) = 0. Calculate n.
-1, 0, 2
Let o = 8241/40 + -206. Let i(h) be the second derivative of -1/3*h**3 - 4*h - 1/6*h**4 + 0 - o*h**5 + 0*h**2. Factor i(a).
-a*(a + 2)**2/2
Find d such that 2/5*d**4 + 6/5*d**3 - 4/5 - 6/5*d + 2/5*d**2 = 0.
-2, -1, 1
Let m(v) be the third derivative of v**8/1008 + 13*v**7/630 + 23*v**6/180 - v**5/18 - 175*v**4/72 + 125*v**3/18 - 3*v**2 + 46. What is c in m(c) = 0?
-5, 1
Let b(l) be the first derivative of -l**4/16 + 2*l**3/3 - 3*l**2/2 - 116. Solve b(u) = 0 for u.
0, 2, 6
Let f(p) be the second derivative of -1/165*p**6 - 45*p + 0*p**2 + 1/66*p**4 + 1/33*p**3 + 0 - 1/110*p**5. Factor f(t).
-2*t*(t - 1)*(t + 1)**2/11
Let u(n) be the second derivative of n**6/240 - 7*n**5/40 + 45*n**4/16 - 81*n**3/4 + 729*n**2/16 + 18*n. Factor u(r).
(r - 9)**3*(r - 1)/8
Let b(z) be the third derivative of 0*z**7 + 16*z**2 - 1/210*z**5 - 1/280*z**6 + 0 + 1/2352*z**8 + 0*z + 0*z**4 + 0*z**3. Factor b(w).
w**2*(w - 2)*(w + 1)**2/7
Let b(w) = -30*w**3 + 28*w**2 - 77*w + 22. Let s(c) = 14*c**3 - 14*c**2 + 38*c - 12. Let o(t) = -6*b(t) - 13*s(t). Factor o(n).
-2*(n - 3)*(n - 2)**2
Let q(x) = -64*x**3 - 103*x**2 - 53*x - 4. Let o(j) = 639*j**3 + 1026*j**2 + 531*j + 39. Let m(c) = -2*o(c) - 21*q(c). Solve m(b) = 0 for b.
-1, -1/2, -2/11
Let b(y) be the first derivative of -y**6/18 - y**5/30 + 11*y**4/24 - 11*y**3/18 + y**2/4 - 340. Determine x, given that b(x) = 0.
-3, 0, 1/2, 1
Let a(p) = -p**4 + 13*p**3 + 35*p**2 + 43*p + 10. Let g(l) = l**3 - 2*l**2 + l - 2. Let s(r) = -a(r) + 2*g(r). Factor s(z).
(z - 14)*(z + 1)**3
Let i(a) = a + 17. Let j be i(-12). Suppose -2*r - 10 = 0, j*r = -3*w + 7 + 10. Find c, given that -w*c**2 - 4 + 4 + 15*c**2 = 0.
0
Let u be 4/(-30) - 122/(-15). Factor -4*m**2 - u*m - 2 - 5 + 7.
-4*m*(m + 2)
Let o = 198 - 592/3. Let f(m) be the third derivative of 0 - 2*m**3 - o*m**4 - 1/15*m**5 - 5*m**2 + 0*m. Factor f(p).
-4*(p + 1)*(p + 3)
Let k(s) be the first derivative of -s**8/560 - s**7/40 + s**6/120 + 7*s**5/40 + 40*s**3/3 - 31. Let c(z) be the third derivative of k(z). Factor c(f).
-3*f*(f - 1)*(f + 1)*(f + 7)
Suppose -m - v = -5*m + 21, -5*m + 3*v + 35 = 0. Solve 8*c + m + c - c + 2*c**2 - 2*c = 0 for c.
-2, -1
Let j(y) be the first derivative of -3*y**4/10 - 23*y**3/5 - 63*y**2/5 + 81*y/5 - 614. Determine s so that j(s) = 0.
-9, -3, 1/2
Let o(b) be the third derivative of 0*b + 1/300*b**6 - 1/50*b**5 + 0*b**3 + 0*b**4 - 44*b**2 + 0. Factor o(k).
2*k**2*(k - 3)/5
Let k be (-1480)/12*12/(-10). Factor 185*j**3 - 300*j**2 + 180*j - 89*j**4 + 5*j**5 - 109*j**4 + k*j**4.
5*j*(j - 3)**2*(j - 2)**2
Factor 12/5*n**2 - 44/5*n + 12*n**3 + 28/5*n**4 - 24/5.
4*(n + 1)**3*(7*n - 6)/5
Let j(b) = 12*b**2 + 28*b - 16. Suppose 25*w - 23*w + 16 = 0. Let f(q) = q**2 + q + 1. Let h(z) = w*f(z) + j(z). Factor h(m).
4*(m - 1)*(m + 6)
Let u be (4/(-18)*-3)/2*-30. Let v be (-30)/(-20)*u/(-7). Determine t, given that 3/7*t**2 - v*t**5 - 3*t**3 + 33/7*t**4 + 0*t + 0 = 0.
0, 1/5, 1
Let g(w) be the third derivative of -w**5/10 + 5*w**4/12 + 2*w**3/3 + 108*w**2. Factor g(d).
-2*(d - 2)*(3*d + 1)
What is n in n**3 - 1/2*n**5 - n**2 + 1/2 - 1/2*n + 1/2*n**4 = 0?
-1, 1
Let p be 55/10*(-270)/(-495). Factor -8/5*w**2 - 1/5*w**p + 19/5*w - 2.
-(w - 1)**2*(w + 10)/5
Suppose -7*q - 45 + 165 + 3*q**2 - 163*q - 18*q**2 = 0. Calculate q.
-12, 2/3
Let t(j) be the third derivative of j**8/504 + j**7/35 + 31*j**6/180 + 17*j**5/30 + 10*j**4/9 + 4*j**3/3 + 89*j**2. Determine s so that t(s) = 0.
-3, -2, -1
Let h(f) be the third derivative of 1/24*f**6 - 16*f**2 + 0 + 0*f - 5/336*f**8 - 1/42*f**7 + 1/12*f**5 + 0*f**4 + 0*f**3. Let h(s) = 0. Calculate s.
-1, 0, 1
Let r(c) be the second derivative of -c**6/165 + 3*c**5/110 - c**4/22 + c**3/33 - c. Suppose r(v) = 0. Calculate v.
0, 1
Let x be 10 + -15 - (-10)/(-2). Let n be ((-72)/(-450))/(2*(-6)/x). Factor 0 + 8/15*b**2 - 8/15*b - n*b**3.
-2*b*(b - 2)**2/15
Solve 6/7*h + 3/7*h**2 + 3/7 = 0 for h.
-1
Suppose -22*s**2 - 8*s**3 - 7*s + 14 + 0*s**4 + 6*s**4 + 39*s - 22 = 0. Calculate s.
-2, 1/3, 1, 2
Let r(h) = h**3 + 1. Let z(g) = -g - 12*g**3 - 2 - 4*g**2 - 15*g**3 + 22*g**3. Let v(u) = -30*r(u) - 5*z(u). Factor v(o).
-5*(o - 4)*(o - 1)*(o + 1)
Let i(g) be the first derivative of -33 - 18/5*g + 3*g**2 + 1/10*g**4 - 14/15*g**3. Factor i(f).
2*(f - 3)**2*(f - 1)/5
Let v(j) = 2*j**4 - 4*j**3 - 6*j**2 + 8*j + 2. Let n(m) = 6*m**4 - 13*m**3 - 17*m**2 + 24*m + 7. Let x(i) = -2*n(i) + 7*v(i). Factor x(b).
2*b*(b - 2)*(b - 1)*(b + 2)
Let d(w) = -3*w**2 - 73*w - 297. Let y be d(-19). Find m, given that -6 - 1/3*m**3 - y*m - 8/3*m**2 = 0.
-3, -2
Let p(u) be the second derivative of 0*u**3 + 0*u**5 + 0*u**2 - 1/54*u**4 + 0 + 1/135*u**6 - 20*u. Let p(d) = 0. What is d?
-1, 0, 1
Let t(f) be the first derivative of -3*f**4/22 + 78*f**3/11 - 114*f**2/11 + 762. Determine w so that t(w) = 0.
0, 1, 38
Solve -4 + 7/3*z**5 - 17*z**3 + 5/3*z**4 + 44/3*z + 7/3*z**2 = 0 for z.
-3, -1, 2/7, 1, 2
Let z(s) = -s**3 - 6*s**2 + s + 5. Let r be z(-6). Let b be ((-2)/r)/(4 - 3). Factor 2*c**3 - 6*c**3 + 2*c**5 + 0*c**5 + b*c.
2*c*(c - 1)**2*(c + 1)**2
Let h(w) be the third derivative of w**6/660 + w**5/165 - 5*w**4/132 - 2*w**3/11 - 2*w**2 + 3*w. Solve h(v) = 0.
-3, -1, 2
Suppose 7*u - 3*u = 12. Suppose 4 - 1 = r. Factor -7*a**u + 20*a**3 - 10*a - 3*a**r + 35*a**4 - 35*a**2.
5*a*(a - 1)*(a + 1)*(7*a + 2)
Let s(c) be the second derivative of c**4/24 + c**3/6 + c**2/4 + 113*c. Factor s(r).
(r + 1)**2/2
Let n(k) be the second derivative of k**6/240 - k**5/40 + k**3/3 - 15*k**2 - 35*k. Let q(u) be the first derivative of n(u). Let q(v) = 0. What is v?
-1, 2
Let n(j) be the third derivative of j**8/3360 - j**6/360 + j**4/48 - 5*j**3/6 + 11*j**2. Let i(k) be the first derivative of n(k). Suppose i(m) = 0. What is m?
-1, 1
Let k