a) be the third derivative of m(a). Solve u(t) = 0 for t.
-1, 0
Let y(j) be the first derivative of -j**6/15 + 7*j**5/90 - j**4/36 + j**2 + 1. Let z(b) be the second derivative of y(b). Solve z(f) = 0.
0, 1/4, 1/3
Let h(b) be the second derivative of -1/20*b**5 + 1/6*b**3 + 0 - 1/6*b**4 + b + b**2. Factor h(q).
-(q - 1)*(q + 1)*(q + 2)
Let m be (-8)/20 - 66/10. Let w = m + 7. Let -6/7*k**2 + 6/7*k**4 - 2/7*k + w + 2/7*k**3 = 0. What is k?
-1, -1/3, 0, 1
Suppose -4*w - 9*n = -6*n - 20, -4*n = 3*w - 22. Factor 2/3*d**3 + 0 + 2/3*d - 4/3*d**w.
2*d*(d - 1)**2/3
Let q = -84 + 86. Factor -2*b**3 - b**q + 0 + 21/4*b**4 + 0*b.
b**2*(3*b - 2)*(7*b + 2)/4
Factor -14/5*q - 12/5 + 6/5*q**2.
2*(q - 3)*(3*q + 2)/5
Let x = 17 + -25. Let m = 12 + x. Factor d**2 - 5*d**3 + m*d**3 + 0*d**3.
-d**2*(d - 1)
Find n, given that -6/5*n - 2/5 - 6/5*n**2 - 2/5*n**3 = 0.
-1
Let v = 65 + -61. Let d(r) be the third derivative of -1/735*r**7 + 0*r + 1/210*r**6 - 1/210*r**5 + 0*r**3 + 2*r**2 + 0 + 0*r**v. Solve d(q) = 0.
0, 1
Let p be ((-2)/(-18))/((-3)/(-6)). Let i = -38/3 + 40/3. Find h, given that 0 + p*h**4 + 2/9*h + i*h**2 + 2/3*h**3 = 0.
-1, 0
Let o(s) = 3*s**2 - 1. Let f be o(-1). What is r in -2*r**2 - r - r + 4*r + 2 - f*r**3 = 0?
-1, 1
Let g be 60/25*(-10)/(-4). Let 21*z**2 + 3 - 21*z**2 + g*z - 3*z**4 - 6*z**3 = 0. What is z?
-1, 1
Let h(l) be the third derivative of 0*l**3 - 3*l**2 + 1/60*l**5 + 0*l + 0 + 1/42*l**7 - 1/15*l**6 + 1/12*l**4. Factor h(z).
z*(z - 1)**2*(5*z + 2)
Suppose h = 5*n - 25 - 91, -3*h + 108 = 4*n. Let c be (-4)/10 - n/(-35). Factor -c*p - 4/7 + 2/7*p**2.
2*(p - 2)*(p + 1)/7
Let u = 19 + -15. Factor 13*y**4 + 2 - 4*y**2 + y**5 - 2 - 10*y**u.
y**2*(y - 1)*(y + 2)**2
Let u(s) = 2*s**2 - 4*s - 8. Let g be u(6). Let b be -2 + (g/3)/5. Factor 0 + 0*i + 2/3*i**3 - 2/3*i**5 - b*i**4 + 2/3*i**2.
-2*i**2*(i - 1)*(i + 1)**2/3
Let p(w) = 3 - 8*w**2 - 4 - 2*w**2. Let h(g) = -2*g**2. Suppose 4*o = -t + 3, 5*t + 38 - 7 = 3*o. Let v(s) = o*p(s) - 11*h(s). Factor v(q).
2*(q - 1)*(q + 1)
Let q(p) = -p**3 - 10*p**2 + 11*p. Let w be q(-11). Suppose w = -5*n + 7*n. Factor 2/5*b**3 + n*b**2 + 0*b + 0.
2*b**3/5
Let l(k) = k - 2. Let n be l(-6). Let y be -1 + -2*4/n. Factor 2/7*o**4 + 0*o**2 + 0 - 4/7*o**3 + y*o.
2*o**3*(o - 2)/7
Let n(o) be the first derivative of -o**8/9240 + o**6/1980 + 4*o**3/3 - 6. Let k(d) be the third derivative of n(d). Factor k(q).
-2*q**2*(q - 1)*(q + 1)/11
Suppose 4*a - 32 = -4*n, n + 1 + 3 = 3*a. Let t(x) be the first derivative of 1 + 4*x + 2/3*x**a + 3*x**2. Factor t(z).
2*(z + 1)*(z + 2)
Let b(y) be the second derivative of -y**8/7560 - y**7/945 - y**6/324 - y**5/270 - y**3/2 - y. Let x(t) be the second derivative of b(t). Factor x(j).
-2*j*(j + 1)**2*(j + 2)/9
Let c be 2/(-9) - (-58)/18. Suppose -c*a + 10 = -8. Factor a - 2*p - 13*p - 17*p**2 - 4*p**2.
-3*(p + 1)*(7*p - 2)
Factor 3*j**4 - 48 + 3*j**3 + 48*j - 15*j**3 + j**3 - j**3.
3*(j - 2)**3*(j + 2)
Let n(z) = z**5 + 5*z**4 - z**3 - 5*z**2 + 2*z. Let h(l) = l**5 + l**4 - l**2. Let p(x) = 6*h(x) - 3*n(x). Let p(w) = 0. Calculate w.
-1, 0, 1, 2
Let b(j) be the third derivative of j**6/210 + j**5/105 - j**4/21 + 10*j**2 - 3. Factor b(x).
4*x*(x - 1)*(x + 2)/7
Factor 39*g**2 - g - 35*g**2 - 15*g + 16.
4*(g - 2)**2
Let t(g) = -11*g**2 - g + 4. Let k(b) = 4*b**2 - 1. Let n(l) = 8*k(l) + 3*t(l). Let n(p) = 0. Calculate p.
-4, 1
Let n(u) be the second derivative of -u**6/30 - u**5/5 - 5*u**4/12 - u**3/3 + u. What is b in n(b) = 0?
-2, -1, 0
Suppose -p - 2*j + 7 = 0, 5*p - 44 = -2*j - 9. Let w be (p/(28/8))/4. Determine b, given that 1/4*b + 0 - 1/4*b**3 - 1/2*b**4 + w*b**2 = 0.
-1, -1/2, 0, 1
Let g(k) be the second derivative of -k**4/54 - k**3/9 - 2*k**2/9 + 2*k. Solve g(i) = 0 for i.
-2, -1
Suppose 2*a = 4*s + 26, -3*a + 2*s - 10 + 29 = 0. Find g, given that 0 + 2/7*g + 6/7*g**2 + 2/7*g**4 + 6/7*g**a = 0.
-1, 0
Let m(n) be the second derivative of 1/45*n**6 + 0*n**2 + 1/9*n**3 - 1/18*n**4 - 1/30*n**5 + 5*n + 0. Suppose m(f) = 0. What is f?
-1, 0, 1
Let f(u) = 11*u**2 - u - 19. Let a(w) = -5*w**2 + 9. Let p(l) = 9*a(l) + 4*f(l). Find j, given that p(j) = 0.
-5, 1
Let y be (-9)/12 + 91/4. Let z be y/10 - 1/5. Suppose -4/5*d + 2/5 + 2/5*d**z = 0. What is d?
1
Let r(x) be the second derivative of -3*x + 0 - 2/15*x**4 - 2/5*x**2 + 3/5*x**3. Factor r(t).
-2*(t - 2)*(4*t - 1)/5
Let l be (1/9 - 0)*12. Factor l - 2/3*z**2 - 2/3*z.
-2*(z - 1)*(z + 2)/3
Let k(c) = 6*c**2 + c + 1. Let l be k(-1). Let v be l*1 - (5 + -5). Suppose -f**2 + v*f + f**2 - 3*f**2 = 0. What is f?
0, 2
Let x(z) be the third derivative of z**7/1260 - z**6/180 + z**5/60 - z**4/36 + z**3/6 + z**2. Let j(l) be the first derivative of x(l). Factor j(s).
2*(s - 1)**3/3
Let u(c) be the first derivative of c**6/90 - c**5/20 + c**4/12 - c**3/18 + 2*c - 1. Let m(f) be the first derivative of u(f). Solve m(p) = 0 for p.
0, 1
Let s(q) = 5*q - 3*q - 4*q**2 - q + 0*q**2. Let b(j) = -j**2. Let h(i) = 3*b(i) - s(i). Factor h(o).
o*(o - 1)
Let x(a) be the second derivative of a**4/48 + a**3/24 - a**2/4 - 53*a. Factor x(o).
(o - 1)*(o + 2)/4
Let i(j) be the second derivative of -j**4/20 + 3*j**3/10 - 3*j**2/5 + 34*j. What is b in i(b) = 0?
1, 2
Let c be 55/45 - (-2)/(-9). Let m(d) = -d**5 + d**4 - d**3 - d**2. Let x(f) = -f**5 - 5*f**4 + 5*f**3 + 5*f**2. Let g(p) = c*x(p) + 2*m(p). Factor g(l).
-3*l**2*(l - 1)*(l + 1)**2
Let y(t) = -t**5 - 11*t**4 + 2*t**3 + t**2 + 6*t + 3. Let c(w) = -w**5 - 10*w**4 + 2*w**3 + 2*w**2 + 5*w + 2. Let a(r) = -7*c(r) + 6*y(r). Factor a(u).
(u - 1)**2*(u + 1)**2*(u + 4)
Let m(h) be the third derivative of h**5/240 - 3*h**3/8 - 28*h**2. Factor m(d).
(d - 3)*(d + 3)/4
Let f(t) be the first derivative of 0*t + 0*t**2 - 8/35*t**5 + 1/21*t**6 + 5/14*t**4 - 4/21*t**3 - 4. What is c in f(c) = 0?
0, 1, 2
Let y(g) = -296*g**2 + 1464*g - 1596. Let q(r) = -59*r**2 + 293*r - 319. Let c(j) = 24*q(j) - 5*y(j). Factor c(b).
4*(4*b - 9)**2
Let d be (3 - 4)/((-1)/12). Suppose 0*j = 3*j - d. Let l**j + l**4 - 2*l**2 + l - 3*l + 2*l**3 = 0. Calculate l.
-1, 0, 1
Let v = 2913 + -14703/5. Let j = -112/5 - v. Determine z, given that -24/5*z**2 + 3/5*z**5 - 14/5*z**4 + 11/5*z + j*z**3 - 2/5 = 0.
2/3, 1
Let q(k) be the second derivative of 0 + 0*k**2 - 1/3*k**3 + 1/10*k**5 + 1/5*k**6 - 1/2*k**4 - 3*k. What is t in q(t) = 0?
-1, -1/3, 0, 1
Let g = -9/5 - -37/15. Factor g*f**2 + 2/9 - 2/9*f**3 - 2/3*f.
-2*(f - 1)**3/9
Let u(g) = -5*g**2 + 5. Let s(i) = -i**3 - 6*i**2 - i + 4. Let o(b) = 5*s(b) - 4*u(b). Factor o(x).
-5*x*(x + 1)**2
Let g(w) be the first derivative of w**3/12 + 3*w**2/4 + 9*w/4 - 1. Solve g(o) = 0 for o.
-3
Let p(c) be the second derivative of -1/15*c**6 + 0 + 0*c**5 + 1/42*c**7 + 0*c**2 + 1/6*c**4 + 6*c - 1/6*c**3. Factor p(b).
b*(b - 1)**3*(b + 1)
Let d be (-1222)/130 + 10*1. Factor -d*a + 1/5*a**2 + 2/5.
(a - 2)*(a - 1)/5
Let g(u) = -4*u**2 + 3*u + 3. Let l(k) = k**2 + 4*k - 6*k + 2*k**2 - 2. Let a(s) = -2*g(s) - 3*l(s). Factor a(m).
-m**2
Let z(x) be the first derivative of x**3/3 - 5. Determine c so that z(c) = 0.
0
What is v in -48*v**2 + 45*v - 61*v + 8*v**3 - 24*v**4 - 60*v**3 - 4*v**5 = 0?
-2, -1, 0
Let c be (1 - -1) + -2*1. Let n = -3 - -6. Suppose c*o**2 - 16*o**5 + 24*o**4 - 9*o**n + o**2 + 0*o**2 = 0. Calculate o.
0, 1/4, 1
Let f(j) be the third derivative of -j**7/735 + j**5/105 - j**3/21 - 4*j**2 - 4. Factor f(i).
-2*(i - 1)**2*(i + 1)**2/7
Let m(z) be the second derivative of -z**5/4 + 5*z**4/6 + 20*z**3/3 - 2*z + 11. Suppose m(k) = 0. What is k?
-2, 0, 4
Let n = 1 + 1. Suppose -3*r + 16 = s, -43 + 11 = -4*r - 4*s. What is j in -n*j**r + 6*j - 6*j**3 - 4 + 1 + 5*j**4 = 0?
-1, 1
Let d be 2/4*0/5. Let a be d - (-1)/((-1)/(-2)). Find q such that -a*q**5 + 6*q**3 + 0*q**5 + 4*q + 13*q**2 - 3*q**2 - 2*q**4 = 0.
-1, 0, 2
Let u(b) be the second derivative of b**10/15120 - b**8/3360 - 7*b**4/12 - 2*b. Let w(q) be the third derivative of u(q). Factor w(r).
2*r**3*(r - 1)*(r + 1)
Let f(s) = -5 - 3*s + 14*s - 2*s**3 + 8*s**3 + 7*s**2. Let c(p) = -3*p**3 - 3*p**2 - 6*p + 3. Let j(i) = 5*c(i) + 3*f(i). Let j(d) = 0. Calculate d.
-1, 0
Let m = 276/5 + -55. Factor m*p**2 + 0 + 1/5*p.
p*(p + 1)/5
Let r(k) be the third derivative of -k**5/90 - 2*k**4/9 - 7*k**3/9 - 3*k**2. Solve r(d) = 0 for d.
-7, -1
Let x(z) = -7*