 be the second derivative of -j**7/21 - j**6/5 - 3*j**5/10 - j**4/6 - 7*j + 10. Let a(m) = 0. Calculate m.
-1, 0
Let w(c) be the first derivative of 2*c**3/33 - 42*c**2/11 - 422. Find a, given that w(a) = 0.
0, 42
Let o(i) be the third derivative of -i**5/20 - 59*i**4/2 - 6962*i**3 + 4*i**2 - 57*i. Factor o(t).
-3*(t + 118)**2
Let v be (-18)/(-18)*(2 + -4 - -2). Let j(y) be the second derivative of 2/3*y**4 + y + 0 - 1/10*y**5 + 1/3*y**3 - 4/15*y**6 + v*y**2. Factor j(g).
-2*g*(g - 1)*(g + 1)*(4*g + 1)
Suppose -300*b**3 + 22 + 609*b - 101*b**4 + 400*b**2 + 84*b**5 - 6 - 753*b = 0. Calculate b.
-2, 1/4, 2/7, 2/3, 2
Let r(s) be the third derivative of -1/120*s**6 + 2*s**2 + 0 + 1/40*s**5 - 1/420*s**7 + 0*s**4 + 0*s**3 + 0*s. Factor r(q).
-q**2*(q - 1)*(q + 3)/2
Suppose 0 = -4*u + u + 4*n + 14, 3*n = -5*u + 4. Factor 1 - 1 - 6*b + 2*b**3 - u - 2.
2*(b - 2)*(b + 1)**2
Let z = -1/108 + 37/108. Factor -4/3*b**3 - 4/3*b**2 + 0 - z*b**4 + 0*b.
-b**2*(b + 2)**2/3
Suppose -8*g = 3*g - 33. Let 4*x**4 + 4*x**3 + 3*x**2 + 0*x**2 - 4*x - 10*x**2 + g*x**2 = 0. What is x?
-1, 0, 1
Suppose 5*g = 3*f, 0 = -2*g - 9*f + 6*f. Suppose g - 4/13*y**2 + 2/13*y**3 + 0*y + 4/13*y**4 - 2/13*y**5 = 0. Calculate y.
-1, 0, 1, 2
Let q(j) be the third derivative of -j**6/210 - 26*j**5/105 + 165*j**2. Factor q(v).
-4*v**2*(v + 26)/7
Let p = 1122 + -1117. Solve -1/3*f**4 + 0*f**3 + 1/3*f**p + 0*f**2 + 0*f + 0 = 0.
0, 1
Suppose -4*v + 2*p + 3*p + 35 = 0, -3*v + 5*p = -30. Solve 3*h**5 - 3*h**4 - 2*h**2 - h**v + 5*h**4 - 2*h**3 = 0.
-1, 0, 1
Let a(m) be the third derivative of -m**5/510 + 35*m**4/51 - 4900*m**3/51 + 587*m**2. Suppose a(z) = 0. What is z?
70
Factor -57/8*n - 27/4 - 3/8*n**2.
-3*(n + 1)*(n + 18)/8
Let a(d) be the third derivative of -d**7/1155 + 8*d**6/165 + d**5/330 - 8*d**4/33 - 271*d**2 + 1. Let a(f) = 0. What is f?
-1, 0, 1, 32
Let r(g) = g**2 + 3*g - 6. Let x = 14 - 10. Let d be x*(-2)/(-8)*-2. Let p(i) = i**2 + 6*i - 12. Let c(h) = d*p(h) + 5*r(h). Determine k, given that c(k) = 0.
-2, 1
Let o(s) be the first derivative of 7*s**5/8 - 25*s**4/24 - 5*s**3/6 + 5*s + 11. Let a(g) be the first derivative of o(g). Factor a(x).
5*x*(x - 1)*(7*x + 2)/2
Let f = 35 + -4. Factor f - 31 + 4*p**2.
4*p**2
Let m = -558 + 560. Let n(a) be the third derivative of -1/120*a**6 + 2/3*a**3 - 1/3*a**4 + 0*a + 1/12*a**5 + 0 + 5*a**m. Suppose n(i) = 0. Calculate i.
1, 2
Let n(x) be the second derivative of 4*x + 0*x**2 + 1/60*x**4 + 0*x**3 + 0. Determine d so that n(d) = 0.
0
Let 4/13 - 2/13*f - 4/13*f**2 + 2/13*f**3 = 0. Calculate f.
-1, 1, 2
Let z(d) be the first derivative of -20*d + 8 + 0*d**3 + 5*d**3 - 20*d**3 - 30*d**2. Find w, given that z(w) = 0.
-2/3
Let s(x) be the first derivative of 1/4*x**4 + 0*x + 1 - 1/2*x**2 - 1/3*x**3 + 1/5*x**5. Factor s(y).
y*(y - 1)*(y + 1)**2
Let 14*o**4 - 16 - 9*o**4 + 12*o**2 - o**4 - 16*o**3 + 16*o = 0. Calculate o.
-1, 1, 2
Let l(y) be the third derivative of -7*y**5/30 + y**4/4 + 4*y**3/3 - 3*y**2 + y. Determine c so that l(c) = 0.
-4/7, 1
Suppose 26*b - 3*j - 44 = 10*b, -4*b + 3*j + 20 = 0. Factor 0 + 5/4*a**b + 5/4*a**3 - 5/2*a.
5*a*(a - 1)*(a + 2)/4
Let l(w) = -2*w - 4. Let g = -21 - -18. Let u be l(g). Solve 38 + 10 + 3*m**u + 0*m**2 + 24*m = 0 for m.
-4
Let l(q) be the third derivative of 14/3*q**4 + 0*q + 28*q**2 + 6/35*q**7 - 8*q**3 - q**6 + 0 + 1/15*q**5. Factor l(a).
4*(a - 3)*(a + 1)*(3*a - 2)**2
Let p be ((-10)/4 + 35/14)/(-1). Let u(l) be the second derivative of 2*l + p + 1/30*l**4 - 2/5*l**2 - 1/15*l**3. Factor u(r).
2*(r - 2)*(r + 1)/5
What is g in -134/3*g - 2/3*g**2 + 136/3 = 0?
-68, 1
Let o(r) = -16*r**2 - 23*r. Let m(u) = 7*u**2 + 11*u. Let f(t) = 14*m(t) + 6*o(t). Determine w, given that f(w) = 0.
-8, 0
Let c(v) be the third derivative of 0 + 1/30*v**6 + 2*v**2 + 0*v + 4/15*v**5 + 2/3*v**4 + 0*v**3. Factor c(q).
4*q*(q + 2)**2
Let l(z) be the second derivative of 2*z**6/5 - 63*z**5/4 + 13*z**4/2 + 602*z. Factor l(f).
3*f**2*(f - 26)*(4*f - 1)
Let c(s) be the first derivative of 1 + 1/4*s**4 - 1/2*s**2 + 2*s - 2/3*s**3. Factor c(i).
(i - 2)*(i - 1)*(i + 1)
Suppose -4*d + d + 3*v = -9, -4*v + 16 = 3*d. Let j(y) be the third derivative of 1/120*y**6 - 4*y**2 + 1/30*y**5 + 0*y + 0 - 4/3*y**3 - 1/6*y**d. Factor j(w).
(w - 2)*(w + 2)**2
Let j(x) be the first derivative of -x**6/30 - 2*x**5/25 + 2*x**3/15 + x**2/10 + 55. Factor j(m).
-m*(m - 1)*(m + 1)**3/5
Let a be 9 + -5 - (3 + -1). Let g be a + (2 - (5 - 1)). Factor 4/5*i**2 + 0*i + 2/5*i**4 + g + 6/5*i**3.
2*i**2*(i + 1)*(i + 2)/5
Solve 1272*n + 423 + 44*n**2 + 29*n**2 - 64*n**2 = 0.
-141, -1/3
Factor 2/3*y - 2/21*y**3 - 4/7*y**2 + 0.
-2*y*(y - 1)*(y + 7)/21
Suppose 14*c + c + 1155 = 0. Let z be (-704)/c*(-1)/(-8)*2. Factor z*y**4 + 8*y**3 + 3/7 - 20/7*y + 17/7*y**2.
(y + 1)*(y + 3)*(4*y - 1)**2/7
Let n = 125 - 125. Let d(z) be the second derivative of -1/6*z**4 + 0 + n*z**2 + 1/20*z**5 - 4*z + 1/6*z**3. Find r, given that d(r) = 0.
0, 1
Factor -384*m - 26*m**3 + 9*m**3 + 4*m**3 + 12*m**2 - 84*m**2 - 512 + 9*m**3.
-4*(m + 2)*(m + 8)**2
Let m(n) be the third derivative of -49*n**6/30 - 56*n**5/15 + 25*n**4/2 - 12*n**3 + n**2 + 4. Factor m(f).
-4*(f + 2)*(7*f - 3)**2
Let h(b) be the first derivative of -b**4/22 - 28*b**3/33 - 13*b**2/11 - 398. Factor h(p).
-2*p*(p + 1)*(p + 13)/11
Let v(t) be the first derivative of -1/24*t**3 + 0*t - 1/16*t**2 + 19. Suppose v(c) = 0. What is c?
-1, 0
Let k be (4 - 8)/8*-6. What is g in -5*g**2 - 2019*g**4 + 2*g**2 + 2018*g**4 + k*g**3 + g = 0?
0, 1
Let g(c) be the second derivative of c**7/14 - 2*c**6/5 + 9*c**5/20 + c**4 - 2*c**3 - 277*c. What is o in g(o) = 0?
-1, 0, 1, 2
Let u(b) be the second derivative of -1/20*b**4 + 1/50*b**6 + 12*b - 1/70*b**7 + 0 + 3/100*b**5 + 0*b**3 + 0*b**2. Factor u(h).
-3*h**2*(h - 1)**2*(h + 1)/5
Suppose 0 = 2*s - 4 - 2. Let g be (-27)/(-15) + 2/10. Factor t**3 + 3*t**2 - 2*t + 0*t**s - g*t**2.
t*(t - 1)*(t + 2)
Let n(q) = 2*q**3 + 4*q + 6 - 3*q + 0*q**3 + 4*q + 15*q**2. Let z be n(-7). Factor -7*t - 28*t + 6*t**3 + 5 - 11*t**3 - z - 25*t**2.
-5*(t + 1)**2*(t + 3)
Let y(p) be the third derivative of 0*p + 0 - 5/54*p**4 - 7/135*p**5 - 4*p**2 + 4/27*p**3. Solve y(o) = 0.
-1, 2/7
Let u(l) be the second derivative of -l**5/30 - 13*l**4/18 + 14*l**3/9 - 3*l + 33. Suppose u(b) = 0. What is b?
-14, 0, 1
Let k(y) = -y**4 + y**2 + y. Let l(i) = 10*i**4 - 6*i**3 - 14*i**2 - 6*i + 4. Let c(m) = 12*k(m) + l(m). Solve c(x) = 0.
-2, -1, 1
Let u(t) be the third derivative of -t**8/448 - 3*t**7/140 - t**6/160 + 3*t**5/10 - t**4/2 - t**2 - 21*t. Factor u(l).
-3*l*(l - 1)**2*(l + 4)**2/4
Let f(c) be the first derivative of -4*c**3/3 + 220*c**2 - 12100*c + 215. Factor f(l).
-4*(l - 55)**2
Factor 0 + 3/5*b**2 - 72/5*b.
3*b*(b - 24)/5
Let a(d) be the first derivative of 5*d**4/4 + 35*d**3/3 - 85*d**2/2 + 45*d + 1. Determine f so that a(f) = 0.
-9, 1
Let a(y) be the second derivative of 0 + 7*y + 80/3*y**3 + 11*y**4 + 32*y**2 + 2*y**5 + 2/15*y**6. Determine t so that a(t) = 0.
-4, -1
Let l be 1 + (44/(-8))/((-2)/4). Let o be ((-2)/42)/((-49)/l - -4). Let o*d**4 + 0 - 2/7*d**5 + 0*d**3 + 0*d**2 + 0*d = 0. Calculate d.
0, 2
Let j(q) be the second derivative of 0 - 1/6*q**4 + 2*q**3 - 9*q**2 - 7*q. Determine h so that j(h) = 0.
3
Suppose -j + 17 = 4*o, j + 16 = -3*o + 30. Let z(g) be the first derivative of 2 - 2/9*g**o + 1/18*g**4 + 8/9*g + 0*g**2. Let z(l) = 0. What is l?
-1, 2
Let o(n) be the first derivative of 5*n**6/6 + 3*n**5 - 225*n**4/4 - 45*n**3 + 1620*n**2 - 4860*n + 90. Let o(h) = 0. What is h?
-6, 3
Suppose -43*m + 41*m = 0. Suppose 5 = 3*p - 1. Suppose -o**3 - o**3 - 4*o**p - 6*o + 4*o + m*o = 0. Calculate o.
-1, 0
Let g = 130444/7 - 18634. What is z in 4/7*z**2 - 2/7*z**3 + g*z + 0 = 0?
-1, 0, 3
Let j = 26376 - 26376. Factor 3/4*r**4 + j - 27/4*r**3 + 75/4*r + 45/4*r**2.
3*r*(r - 5)**2*(r + 1)/4
Let x(r) be the third derivative of -r**7/315 - r**6/36 + r**5/90 + 5*r**4/36 + 66*r**2. Determine b, given that x(b) = 0.
-5, -1, 0, 1
Let k be (9 - 3)*(-4)/(-6). Suppose l = k*l. Factor 0*i + 1/5*i**2 + l.
i**2/5
Find y, given that -2*y**4 + 2/3*y**5 + 0 + 4/3*y**3 + 0*y**2 + 0*y = 0.
0, 1, 2
Let y(i) be the third derivative of 0*i - 5*i**2 + 1/8*i**4 - 1/120*i**6 + 1/3*i**3 + 0 + 0*i**5. Let a(u) be the first derivative