)/4
Suppose -17*s + 4 = -13*s + w, 3*s = -5*w - 14. Factor -1/4*i**s + 1/4*i**3 + 0 + 0*i.
i**2*(i - 1)/4
Let w be (-42)/40 - 0/1. Let z = -4/5 - w. Factor 1/4*i**2 + 0*i - z.
(i - 1)*(i + 1)/4
Factor -p - 3/2 + 1/2*p**2.
(p - 3)*(p + 1)/2
Let t(u) = u**2 - 11*u + 22. Let w be t(9). Find v such that -5*v - w*v**3 + 2 - 9*v**2 - 4 + 3*v**3 + 5*v**2 = 0.
-2, -1
Let m(t) be the first derivative of -3 + 1/3*t**3 + 1/12*t**4 + 1/2*t**2 + 1/3*t. Solve m(v) = 0 for v.
-1
Suppose 0 = -4*r + 18 + 6. Let b(f) be the second derivative of 0 - 16/45*f**r - 2*f + 7/18*f**4 - 4/15*f**5 - 1/9*f**3 + 0*f**2. Factor b(v).
-2*v*(v + 1)*(4*v - 1)**2/3
Let j = -260 + 1308/5. Factor j + 10*z**2 + 8*z.
2*(5*z + 2)**2/5
Let x(m) be the third derivative of -m**9/423360 + m**5/15 + 5*m**2. Let g(d) be the third derivative of x(d). Factor g(a).
-a**3/7
Let n(t) be the second derivative of 0 - 3/70*t**7 + 1/10*t**6 - 6*t + 3/100*t**5 + 1/5*t**3 + 0*t**2 - 1/4*t**4. Let n(j) = 0. What is j?
-1, 0, 2/3, 1
Let s(g) be the first derivative of g**6/12 - g**4/2 + g**3/3 + 3*g**2/4 - g + 8. Let s(h) = 0. What is h?
-2, -1, 1
Let n(j) = 2*j**3 + 14*j**2 + 20*j + 5. Let r be n(-5). Find m such that 1/7*m**r + 1/7*m - 2/7*m**3 - 1/7 + 2/7*m**2 - 1/7*m**4 = 0.
-1, 1
Let d be ((-489)/40)/(-3) + (-5 - -1). Let z(c) be the third derivative of 2*c**2 + 0 + 0*c + 1/100*c**5 + 1/5*c**3 - d*c**4. Factor z(j).
3*(j - 2)*(j - 1)/5
Let a(m) be the first derivative of -3*m**4/10 + 22*m**3/15 - m**2 - 6*m/5 - 3. Suppose a(n) = 0. Calculate n.
-1/3, 1, 3
Let -14/5*r + 49/5 + 1/5*r**2 = 0. What is r?
7
Solve 0*u + 0 + 2/3*u**2 - 2/3*u**4 + 2/3*u**5 - 2/3*u**3 = 0 for u.
-1, 0, 1
Suppose 2/15*m**2 + 0 + 4/15*m = 0. Calculate m.
-2, 0
Let a be 6 - (-76)/(-15) - (-2)/5. Factor -10/3*w**2 + a + 2*w.
-2*(w - 1)*(5*w + 2)/3
Let m(s) be the first derivative of 9*s**4/20 + 2*s**3/5 + 28. Factor m(f).
3*f**2*(3*f + 2)/5
Let a be ((-2)/(-12))/((-2)/28). Let z = 17/6 + a. Find c such that -3/4*c**5 + 3/2*c**3 - 3/4*c + 1/4*c**4 + 1/4 - z*c**2 = 0.
-1, 1/3, 1
Let m be (-4)/(-6) + (-20)/(-6). Factor 2*b**2 - b + 7*b**3 - b**m + 6*b**4 + b.
b**2*(b + 1)*(5*b + 2)
Let z(w) be the first derivative of 2*w**3/9 - 8*w**2/3 + 32*w/3 - 1. Factor z(i).
2*(i - 4)**2/3
Factor 22*x**2 - 3*x**2 + 12 - 4*x**2 - 36*x.
3*(x - 2)*(5*x - 2)
Let d(i) = 7*i**4 - 7*i**3 - i**2 - 5*i - 6. Suppose l + 1 = -0. Let w(a) = -a**4 + a**3 + a + 1. Let y(x) = l*d(x) - 6*w(x). Find u such that y(u) = 0.
-1, 0, 1
Let i(r) be the first derivative of r**3/18 + 11*r**2/6 + 121*r/6 - 37. Factor i(t).
(t + 11)**2/6
Let c(v) be the second derivative of 2*v**2 + v - 1/6*v**4 - 1/3*v**3 + 0. Let c(p) = 0. What is p?
-2, 1
Let z = -26/3 + 55/6. Let o(g) = -g**3 - g**2 - g + 2. Let f be o(0). Factor 2 + f*k + z*k**2.
(k + 2)**2/2
Let r(x) be the third derivative of -4*x**7/105 + x**6/12 - x**5/30 + 23*x**2. Find l such that r(l) = 0.
0, 1/4, 1
Let p(d) be the first derivative of d**8/3360 - d**7/1680 - d**6/720 + d**5/240 + 4*d**3/3 - 1. Let m(q) be the third derivative of p(q). Factor m(g).
g*(g - 1)**2*(g + 1)/2
Let g(u) be the first derivative of u**3/24 - 21*u**2/8 + 441*u/8 + 71. Factor g(v).
(v - 21)**2/8
Let l(m) = -m**3 - 6*m**2 - 4*m + 7. Let a be l(-5). Determine w, given that 0 + 5/2*w**3 - 3/2*w**a - w = 0.
-2/5, 0, 1
Let h(v) be the first derivative of 2*v**3/57 - 6*v**2/19 + 10*v/19 + 27. Suppose h(f) = 0. Calculate f.
1, 5
Determine q so that -2/7*q**5 + 0 - 8/7*q**2 - 2/7*q - 12/7*q**3 - 8/7*q**4 = 0.
-1, 0
Let h(i) = i**3 + 6*i**2 + 5*i - 3. Let c be h(-4). Let y be 20/c + 2/(-9). Suppose 18 - 18 + n**y - n = 0. What is n?
0, 1
Let w(h) be the second derivative of -1/36*h**4 - 1/6*h**2 + 0 - 2*h - 1/9*h**3. Solve w(f) = 0 for f.
-1
Let y(u) = -5*u**3 - 9*u - 14. Suppose 10 = -2*f + 5*g, g + 16 = 5*f - 5. Let w(c) = -3*c**3 - 6*c - 9. Let q(n) = f*y(n) - 8*w(n). Factor q(l).
-(l - 2)*(l + 1)**2
Let i be (-1)/1*-4 + 2 + -3. Let m(x) be the second derivative of i*x + 0 + 1/90*x**6 - 1/36*x**4 + 0*x**3 + 0*x**2 + 0*x**5. Factor m(u).
u**2*(u - 1)*(u + 1)/3
Let t(o) be the first derivative of -o**5/3 - 17*o**4/12 - 2*o**3/3 + 49. Factor t(c).
-c**2*(c + 3)*(5*c + 2)/3
Let m(r) be the third derivative of -r**5/540 - r**4/18 - 2*r**3/3 + 7*r**2. Factor m(i).
-(i + 6)**2/9
Find w such that -4*w - 3 - 15*w**2 - 6*w - 8*w = 0.
-1, -1/5
Factor 1 + k + 1/4*k**2.
(k + 2)**2/4
Let b(x) be the first derivative of -x**6/24 - x**5/20 + 1. Factor b(t).
-t**4*(t + 1)/4
Let r(w) = w**2 - 8*w + 9. Let h be r(6). Let a(l) = l**3 + 2*l**2 - 3*l. Let t be a(h). Factor 2/9*k**2 + t - 2/9*k.
2*k*(k - 1)/9
Suppose -4*f - m + 20 = 3*m, 4*m - 18 = -3*f. Find q such that 3*q + q**2 + 2*q**f + 3*q**4 - 3*q**3 - 6*q**2 = 0.
-1, 0, 1
Factor -119 - 2*m**2 + 4*m**2 + 16*m + 0*m**2 + 151.
2*(m + 4)**2
Suppose -2 = 3*w + 2*p, 2*w - p + 16 = -6*p. Determine l, given that 6/5*l**3 + 21/5*l - 3/5 + 9*l**4 - 27/5*l**5 - 42/5*l**w = 0.
-1, 1/3, 1
Let q(m) = m**5 - m**4 - m**3 + m**2 + m. Let v(u) = -3*u**5 + 9*u**4 + 13*u**3 + 3*u**2 - 2*u. Let b(x) = -4*q(x) - v(x). Factor b(s).
-s*(s + 1)**3*(s + 2)
Let m(v) be the first derivative of v**6/360 - v**5/60 - v**3/3 - 1. Let i(r) be the third derivative of m(r). Determine u, given that i(u) = 0.
0, 2
Let w be -2*15/6*(-6)/10. Solve 1/4*x**5 + 1/2*x + 1/4*x**2 - 1/4*x**4 + 0 - 3/4*x**w = 0 for x.
-1, 0, 1, 2
Let g(a) = 25*a**4 - 63*a**3 + 29*a**2. Let s(l) = 24*l**4 - 64*l**3 + 28*l**2. Let w(i) = 4*g(i) - 5*s(i). Factor w(j).
-4*j**2*(j - 3)*(5*j - 2)
Suppose 0 = 69*l - 31*l. Determine j so that 3/4*j**4 + 0 + 1/4*j**5 + 1/4*j**2 + l*j + 3/4*j**3 = 0.
-1, 0
Let l = -3/37 + 83/111. Find x, given that -x**2 + 1/3*x**4 - 1/3*x**3 + 1/3*x + l = 0.
-1, 1, 2
Let d(l) = -l**3 - 8*l**2 - 5. Let f be d(-8). Let h be 0 + -1 - (2 + f). Factor 4/9*q - 10/3*q**3 - 14/9*q**5 - 38/9*q**4 - 2/9*q**h + 0.
-2*q*(q + 1)**3*(7*q - 2)/9
Let k be (1/(-2))/(18/(-24)). What is j in 0 + 4/3*j + k*j**3 + 2*j**2 = 0?
-2, -1, 0
Let l(o) be the second derivative of o**7/1260 + o**6/360 - o**4/4 + 3*o. Let j(q) be the third derivative of l(q). Factor j(p).
2*p*(p + 1)
Let k(z) be the third derivative of -z**8/112 + z**7/70 + z**6/40 - z**5/20 - 16*z**2. What is s in k(s) = 0?
-1, 0, 1
Let b(p) be the third derivative of -p**7/7560 - p**6/2160 - p**4/12 - p**2. Let q(w) be the second derivative of b(w). Let q(i) = 0. What is i?
-1, 0
Let y = -51 + 51. Let x(i) be the third derivative of 0*i + 1/60*i**5 - i**2 + y - 1/9*i**4 - 2/9*i**3 + 1/40*i**6. Factor x(q).
(q - 1)*(3*q + 2)**2/3
Find p such that 0*p - 1/6*p**5 + 1/6*p**2 - 1/2*p**3 + 1/2*p**4 + 0 = 0.
0, 1
Suppose -6 - 15 = -4*h + 3*g, -5*h - 5*g = 0. Let v be 4 + (0 + 0)/2. Find t such that v*t - 4*t - t**3 - 5*t**h - 3*t**4 = 0.
-2, 0
Let m = 673543799/945 - 4989184/7. Let a = m + 2/189. Find d such that 12/5 + a*d**3 - 27/5*d**2 - 36/5*d = 0.
-1, 2/7, 2
Let i(s) be the first derivative of s**5/60 - s**4/36 + 3*s - 2. Let d(q) be the first derivative of i(q). Factor d(j).
j**2*(j - 1)/3
Factor 0*m + 3/8*m**2 - 3/4*m**3 + 3/8*m**4 + 0.
3*m**2*(m - 1)**2/8
Factor 1/4*c**5 - c**4 - 5/4*c + 1/2 + 1/2*c**2 + c**3.
(c - 2)*(c - 1)**3*(c + 1)/4
Factor p**2 - 1/2*p**3 + 1/2*p - 1.
-(p - 2)*(p - 1)*(p + 1)/2
Determine x, given that 3*x**2 + 27*x**3 - 3 - 28*x**3 - 1 = 0.
-1, 2
Let g(t) be the second derivative of t**5/120 + t**4/48 - t**3/6 + 5*t**2/2 - t. Let i(l) be the first derivative of g(l). Suppose i(p) = 0. Calculate p.
-2, 1
Let z = 27 + -23. Suppose -z*v**2 + 5*v**2 + 23 - 7 + 8*v = 0. Calculate v.
-4
Let v(g) be the first derivative of 0*g - 7/9*g**3 + 2 + 5/12*g**4 + 1/3*g**2. Solve v(x) = 0.
0, 2/5, 1
Suppose 3*y + 11 = 5*w, -3*w - 6 + 21 = y. Factor 0*p**2 - 2*p + 2*p**2 + w*p.
2*p*(p + 1)
Find s such that -12/7*s**3 - 2/7*s**5 - 6/7 - 4/7*s**2 + 10/7*s**4 + 2*s = 0.
-1, 1, 3
Let q(d) = 3*d**4 + 6*d**3 - 12*d + 3. Let y(f) = 6*f**4 + 11*f**3 - 24*f + 7. Let c(w) = -7*q(w) + 3*y(w). What is n in c(n) = 0?
-2, 0, 1
Let f(h) be the second derivative of -h**7/63 - 2*h**6/45 - h**5/30 + 15*h. Factor f(j).
-2*j**3*(j + 1)**2/3
Let d(q) be the second derivative of q**5/100 + 7*q**4/60 + 11*q**3/30 + q**2/2 - 40*q. Factor d(j).
(j + 1)**2*(j + 5)/5
Suppose x + 18 = -5*q - 0, -2*q = -3*x + 14. Facto