s(j).
-2*(j - 1)*(j + 1)*(j + 2)
Let i(q) be the first derivative of 9 + 12/13*q**4 + 2/39*q**3 - 6/13*q**2 + 32/65*q**5 + 2/13*q. Let i(o) = 0. Calculate o.
-1, 1/4
Suppose 5*c - 30 = -5*c. Let k(w) be the second derivative of 0*w**2 - 3/20*w**5 + w + 0 - 1/4*w**4 - 1/30*w**6 - 1/6*w**c. Factor k(r).
-r*(r + 1)**3
Let x be 75/11 + (-6)/(-33). Let c(i) be the third derivative of 0*i**6 + 1/1176*i**8 + 0*i**5 + i**2 + 0*i**3 + 0*i**4 + 0*i + 0*i**x + 0. Factor c(l).
2*l**5/7
Factor 0*q**2 - q**2 - 5*q**2 - 2*q**3 + 10*q**3 - 2*q**4.
-2*q**2*(q - 3)*(q - 1)
Let z(c) = 2*c**5 - 4*c**4 + 2*c**3 + 10*c**2 + c - 11. Let y(v) = -3*v**5 + 8*v**4 - 3*v**3 - 20*v**2 - 3*v + 21. Let h(l) = -3*y(l) - 5*z(l). Factor h(t).
-(t - 1)**2*(t + 2)**3
Let b(z) be the first derivative of 1/6*z**4 + 5 + 0*z**2 + 0*z - 4/9*z**3. Let b(l) = 0. Calculate l.
0, 2
Let s(n) be the third derivative of -n**8/168 - 2*n**7/35 - 7*n**6/30 - 8*n**5/15 - 3*n**4/4 - 2*n**3/3 + 4*n**2 + 2. Factor s(t).
-2*(t + 1)**4*(t + 2)
Let w(o) be the second derivative of -5*o + 0*o**4 + 0*o**2 + 0 + 1/21*o**7 - 2/15*o**6 + 0*o**3 + 1/10*o**5. Factor w(z).
2*z**3*(z - 1)**2
Let a be (5 - 16/3)*-1. What is u in 1/3*u**2 - 2/3*u + a = 0?
1
Let b(h) = -h**2 - 5*h + 7. Let z be b(-5). Let w = 10 - z. Solve 3*g**2 - g**3 - 4*g**2 + 0*g**w = 0.
-1, 0
Let -w + 7*w + 2*w**2 + w - 3*w = 0. What is w?
-2, 0
Let f be (-14)/15 + 2/2. Let m(x) be the first derivative of f*x**5 + 0*x + 0*x**2 + 1/9*x**3 - 1/6*x**4 + 1. Factor m(k).
k**2*(k - 1)**2/3
Let v be 2/(-5)*(5 - 10). Suppose v*x = x. Find s such that -2/5*s**2 + 2/5*s**3 + x - 2/5*s + 2/5*s**4 = 0.
-1, 0, 1
Let h(f) be the first derivative of -5*f**6/6 - 2*f**5 + 5*f**4/4 + 10*f**3/3 + 61. Let h(b) = 0. What is b?
-2, -1, 0, 1
Let z = 6 + -10. Let k = 6 + z. Factor 6*q + q**2 - 2*q + q**k.
2*q*(q + 2)
Let x(w) be the second derivative of -4/15*w**3 - 1/30*w**5 - w**2 + 0 - 1/5*w**4 - w. Let v(p) be the first derivative of x(p). Factor v(j).
-2*(j + 2)*(5*j + 2)/5
Suppose b + 4*f = 21, 8*f = 3*f + 10. Let d = b + -13. Factor d*i - 1/2 + 1/2*i**2.
(i - 1)*(i + 1)/2
Let f(g) be the third derivative of -g**8/3360 - g**7/840 - g**6/720 + g**3/2 + 2*g**2. Let t(s) be the first derivative of f(s). Find w such that t(w) = 0.
-1, 0
Factor 0 + 3/5*s**3 - 6/5*s - 3/5*s**2.
3*s*(s - 2)*(s + 1)/5
Suppose 5*o - o = 0. Let y(m) be the third derivative of o + 0*m**4 - m**2 - 1/210*m**7 + 0*m**5 + 0*m**3 + 0*m + 0*m**6. Determine d so that y(d) = 0.
0
Let c be -4 - ((-393)/390 + -3). Let j = 1029/1430 + c. Suppose 2/11*n**2 + j*n**3 + 0 - 4/11*n - 6/11*n**4 = 0. What is n?
-2/3, 0, 1
Let c(y) be the second derivative of -5*y**7/42 + y**6/3 - y**5/4 - y. Factor c(r).
-5*r**3*(r - 1)**2
Let o(c) be the second derivative of 0 + 0*c**2 + 2/5*c**5 - 4/3*c**3 - 5/3*c**4 + 2/3*c**6 - 5*c. Solve o(i) = 0.
-1, -2/5, 0, 1
Let i be ((-6)/(-15))/(3/30). Suppose i*c + 26 = 2*j, 5*j = 5*c - 0*c + 40. Determine r so that 0 - 4/5*r**2 - 2/5*r**j - 2/5*r = 0.
-1, 0
Let u be ((-4)/(-6))/(2/4). Let h = -133 + 401/3. Find c such that h*c**2 + 2/3 - u*c = 0.
1
Let s(m) = -m**3 - m**2 + 3*m + 1. Let z(d) = 2*d**3 + 3*d**2 - 5*d - 1. Let i(o) = 10*s(o) + 4*z(o). Let i(f) = 0. Calculate f.
-1, 3
Let f(r) = r**3 - 4*r**2 + 4*r + 1. Let b be f(3). Suppose 74 = -q + 76. Find a such that -q*a**2 - b*a + 1 + 0*a**2 - 3 = 0.
-1
Let o be (5/45)/(52/24 + -2). Suppose -2/3*d**4 - o*d - 2*d**3 + 0 - 2*d**2 = 0. What is d?
-1, 0
Let s(i) be the third derivative of -i**8/21 + 6*i**7/25 - 67*i**6/150 + 23*i**5/75 + i**4/10 - 4*i**3/15 - 6*i**2. What is a in s(a) = 0?
-1/4, 2/5, 1
Let c be (-5 - (-3 + -1))*-3. Let t(g) be the second derivative of 1/16*g**4 + 1/8*g**2 + 0 - 1/80*g**5 - 1/8*g**3 - c*g. Find b, given that t(b) = 0.
1
Let b = -263/5 + 271/5. Factor 6/5*p**2 - 16/5*p + b.
2*(p - 2)*(3*p - 2)/5
Let w = 1/38 + 9/19. Let q(b) be the first derivative of 1 - 3/5*b**5 + b**3 - b**2 + w*b**4 + 0*b. Find m such that q(m) = 0.
-1, 0, 2/3, 1
Suppose 137*m = 116*m + 42. Factor -1/3*o**m + 1/3*o**3 + 0 + 0*o.
o**2*(o - 1)/3
Let l be 2/2*(4 + -2). Let -4 + 4*y**2 - 3*y**l + 3 - y + 0*y + y**3 = 0. What is y?
-1, 1
Let r(l) be the third derivative of -l**7/35 - l**6/12 - l**5/30 + l**4/12 + 13*l**2. Solve r(m) = 0.
-1, 0, 1/3
Let t be 3/12 + (2 - (-158)/(-72)). Let i(g) be the third derivative of 1/90*g**5 + 0*g + 0*g**3 + 0 + t*g**4 + 3*g**2. Determine d, given that i(d) = 0.
-2, 0
Let l(n) be the second derivative of 7*n + 0*n**3 + 1/4*n**4 + 0*n**2 + 0 + 3/20*n**5. Determine g, given that l(g) = 0.
-1, 0
Let w be ((-72)/9)/(-40) - (-58)/10. Let s(b) be the second derivative of 0 + 0*b**2 + 1/45*b**w - 1/30*b**5 - 1/18*b**4 + b + 1/9*b**3. Factor s(u).
2*u*(u - 1)**2*(u + 1)/3
Suppose -7 = 4*q - 31. Let o(n) = n**2 - n. Let j(r) = 2*r**2 - 5*r - 1. Let b(t) = q*o(t) - 2*j(t). Determine l so that b(l) = 0.
-1
Let j = -14/29 + 155/261. Let k(v) be the first derivative of -1/3*v + 0*v**5 - 2/9*v**6 + j*v**3 + 7/12*v**4 - 1/2*v**2 - 2. Suppose k(p) = 0. What is p?
-1, -1/2, 1
Let h(s) be the second derivative of -686*s**6/15 + 196*s**5 - 224*s**4 + 352*s**3/3 - 32*s**2 + 12*s. Solve h(y) = 0.
2/7, 2
Let p(d) = -d**2 - 3*d + 1. Let a be p(-2). What is l in 4*l**a + 0 + 5*l**2 + 0 - l**2 = 0?
-1, 0
What is h in 1 - 4*h + h**2 - 1 = 0?
0, 4
Suppose -4 = 4*h, 2*l - 17*h + 19*h - 2 = 0. Factor 1/4*s**3 - 1/4*s - 1/2*s**l + 1/2.
(s - 2)*(s - 1)*(s + 1)/4
Let c(q) be the second derivative of q**4/36 + q**3/18 - q**2/3 - 21*q. Determine a so that c(a) = 0.
-2, 1
Factor -3 - 1/3*v**4 - 8*v - 8/3*v**3 - 22/3*v**2.
-(v + 1)**2*(v + 3)**2/3
Let l(m) be the first derivative of m**7/1680 + m**6/240 + m**5/120 - m**3 - 1. Let n(y) be the third derivative of l(y). Solve n(x) = 0 for x.
-2, -1, 0
Let f(c) be the first derivative of c**5/5 + c**4/2 - c**3/3 - c**2 - 14. What is x in f(x) = 0?
-2, -1, 0, 1
Let i = 9 - 7. Find o such that 4*o**3 - o**3 - o**i + 0*o + 3*o + 7*o**2 = 0.
-1, 0
Let c(i) = -11*i**4 + 26*i**3 - 21*i**2 + 4*i - 2. Let t(f) = 12*f**4 - 27*f**3 + 21*f**2 - 3*f + 3. Let z(b) = -3*c(b) - 2*t(b). Factor z(k).
3*k*(k - 1)**2*(3*k - 2)
Let m(w) = 10*w + 9. Let d be m(-3). Let c = d + 24. Solve 1/4*i**5 + 2*i - 1 + 1/4*i**4 - 1/4*i**2 - 5/4*i**c = 0.
-2, 1
Let o(k) = k**2 - 4*k + 5. Let i be o(3). Find f, given that -8*f**2 - 23*f + 26*f + 12*f**3 + 6*f**2 - 13*f**i = 0.
0, 1/4, 1
Factor 0 + 10/3*i + 5/3*i**2 - 5/3*i**3.
-5*i*(i - 2)*(i + 1)/3
Let r(m) be the third derivative of -m**6/220 + 7*m**5/330 - 5*m**4/132 + m**3/33 - m**2. Determine k so that r(k) = 0.
1/3, 1
Let g(n) be the first derivative of 2*n**6/3 + 8*n**5/5 + 3. Factor g(r).
4*r**4*(r + 2)
Let x be (-296)/84*1/(-2). Let s = x - 10/7. Factor -s*t + 0 + 4/3*t**2.
t*(4*t - 1)/3
Let f(s) be the second derivative of 5*s**7/252 + 2*s**6/45 + s**5/120 - s**4/36 - 4*s. Factor f(z).
z**2*(z + 1)**2*(5*z - 2)/6
Let u(p) be the first derivative of p**3/3 - 8*p**2 + 64*p + 23. Solve u(c) = 0 for c.
8
Let t(q) = -4*q + 6. Let b(v) = v**2 - v - 1. Let s(k) = 2*b(k) + t(k). Find p such that s(p) = 0.
1, 2
Let a(j) be the first derivative of 2*j**6/3 + j**5/5 - j**4 - j**3/3 + 4. Let a(w) = 0. What is w?
-1, -1/4, 0, 1
Let y be ((-20)/(-5) - 5) + 3. Let f(c) be the first derivative of 2/7*c**3 - 2/7*c**4 + 1/7*c**y - 3 + 0*c. Factor f(v).
-2*v*(v - 1)*(4*v + 1)/7
Let v(p) be the third derivative of 1/30*p**5 + 1/9*p**4 + 0*p - 4/9*p**3 - 4*p**2 - 1/90*p**6 + 0 - 1/315*p**7. Factor v(m).
-2*(m - 1)**2*(m + 2)**2/3
Let r be (-2)/10 - (-66)/30. Factor 3/4*b + 1/4*b**3 - 1/4 - 3/4*b**r.
(b - 1)**3/4
Let f(w) = 1835*w**3 - 265*w**2 - 1120*w - 195. Let g(j) = -131*j**3 + 19*j**2 + 80*j + 14. Let q(m) = 6*f(m) + 85*g(m). Factor q(c).
-5*(c - 1)*(5*c + 2)**2
Factor 2/5*f**3 + 0 + 0*f + 0*f**2 - 16/5*f**4 + 32/5*f**5.
2*f**3*(4*f - 1)**2/5
Solve 144/7*s**3 + 16/7*s**5 - 136/7*s**2 - 76/7*s**4 - 12/7 + 64/7*s = 0 for s.
3/4, 1
Let u(y) be the first derivative of -1/3*y**3 + 1/4*y**2 - 1/12*y**6 - 4 + 0*y + 0*y**4 + 1/5*y**5. Factor u(q).
-q*(q - 1)**3*(q + 1)/2
Let f(u) be the second derivative of u**6/125 - 11*u**5/250 + u**4/30 + u**3/25 + 29*u. Determine w, given that f(w) = 0.
-1/3, 0, 1, 3
Let l be (-6)/4 - 7/(-4). Find v such that 0 + l*v**4 + 1/2*v**2 + 