ative of j(k). Find q such that i(q) = 0.
-1, 3
Let s(g) = -g**3 + 3*g. Let y be s(-2). Factor 0*b**y + 1/4*b**3 + 1/2 - 3/4*b.
(b - 1)**2*(b + 2)/4
Let b(u) = -11*u**2 - 5*u - 5. Suppose 0*a = -4*a - 20. Let y(n) = -6*n**2 - 3*n - 3. Let q(x) = a*y(x) + 3*b(x). Let q(s) = 0. Calculate s.
0
Let z(l) = 11*l**2 - l - 1. Let d be z(-1). Solve -5 - 2*p**3 - d - 5 + 6*p + 25 = 0.
-1, 2
Let p = -26 + 39. Let d be p/21 - (-1)/(-3). Solve -6/7*r + d + 4/7*r**2 = 0 for r.
1/2, 1
Let i(o) be the third derivative of o**8/1176 + 4*o**7/735 + o**6/140 - 2*o**5/105 - o**4/21 + 2*o**2. Determine x, given that i(x) = 0.
-2, -1, 0, 1
Let i be 20/30 - 6/9*1. Let w(p) be the third derivative of 0 + 1/40*p**5 + 0*p**3 + 0*p**4 + 1/32*p**6 - 1/40*p**7 + p**2 + i*p. Factor w(n).
-3*n**2*(n - 1)*(7*n + 2)/4
Let x be (-2)/(-1) + 738/(-216). Let t = 5/3 + x. Factor 0 + 0*b - 1/4*b**3 + t*b**2.
-b**2*(b - 1)/4
Determine a, given that 0*a - 2/3*a**3 + 2/3*a**2 + 0 - 2/3*a**4 + 2/3*a**5 = 0.
-1, 0, 1
Let c be (1 + 0)/(4/64). Factor 0*t - 3*t**3 - 24*t**2 - 6*t**3 + 4*t - c*t.
-3*t*(t + 2)*(3*t + 2)
Let x(f) = 2*f - 1. Let i be x(2). Find y such that 4*y + 2*y**3 - 6*y**3 + 5*y**2 - 3*y**2 + 2*y**i = 0.
-1, 0, 2
Suppose 2*c - h - 50 = -3*h, 5*c + 3*h = 115. Let o be 0/c*2/(-4). Suppose -2/3*b**3 + 8/9*b**2 + o - 2/9*b + 8/9*b**5 - 8/9*b**4 = 0. What is b?
-1, 0, 1/2, 1
Factor -4/3*m**3 + 0*m**2 + 4/3*m - 2/3 + 2/3*m**4.
2*(m - 1)**3*(m + 1)/3
Let t(o) be the first derivative of -1/20*o**5 + 0*o**2 + 0*o - 1/6*o**4 - 4/3*o**3 - 3 - 1/180*o**6. Let n(i) be the third derivative of t(i). Factor n(l).
-2*(l + 1)*(l + 2)
Suppose 4*t - t = 15. Find f, given that 45 + 3*f + t*f + 3*f**2 - 41 = 0.
-2, -2/3
Let z be (-2)/7 - (-668)/1456. Let h = 1/13 + z. Factor -1/2*s**2 + 0 - h*s**3 - 1/4*s.
-s*(s + 1)**2/4
Factor y + 1/2*y**2 + 1/2.
(y + 1)**2/2
Suppose -4*z = 0, 3*i + 3*z + 63 + 18 = 0. Let l be i/(-21) - (3 - 2). Factor 2/7*p**4 + 2/7*p**5 - l*p**3 + 0*p - 2/7*p**2 + 0.
2*p**2*(p - 1)*(p + 1)**2/7
Let f be 3 - ((-24)/3 - -3). Suppose -5*u + f = -2. Factor -1/2 - 7/2*a**3 - 5/2*a - a**4 - 9/2*a**u.
-(a + 1)**3*(2*a + 1)/2
Let q be 5/1 - (4 - 1). What is g in g**q + g**3 + 2*g**3 - 4*g**2 = 0?
0, 1
Let b(f) = -f**3 + 4*f + 3. Let k be b(-2). Factor r - 3*r**3 + r**3 - 3*r**k + 3*r**2 + r**3.
-r*(r - 1)*(4*r + 1)
Let s be (4*(-5)/(-10) - 2) + 3. Factor 1/2*o**5 + 0*o**s + 0 + o**2 - 1/2*o - o**4.
o*(o - 1)**3*(o + 1)/2
Let s(u) be the third derivative of -u**7/420 - u**6/240 + 44*u**2. Factor s(l).
-l**3*(l + 1)/2
Suppose 10*j - 7*j = 0. Factor 1/2*s**2 + 0*s + j.
s**2/2
Let f = 342 + -683/2. Factor r**4 - 1/2*r**5 - f*r**3 + 0*r + 0*r**2 + 0.
-r**3*(r - 1)**2/2
Let t(j) be the second derivative of 5*j**7/14 + j**6/5 - 9*j**5/4 - 4*j**4 - 2*j**3 - 18*j. Determine m so that t(m) = 0.
-1, -2/5, 0, 2
Suppose 0*p - b + 37 = 4*p, 5*b + 15 = 0. Suppose -2*j**2 + 11*j**4 + 4*j**5 + p*j**3 - 7*j**3 + 2*j**3 = 0. What is j?
-2, -1, 0, 1/4
Factor 20 + 2*i**2 - 20 - i**4 - 4*i**2 + 3*i**3.
-i**2*(i - 2)*(i - 1)
Let q = 17 + -23. Let b(f) = 3*f + 5*f**2 - 5 + f**2 + 0*f**2. Let t(d) = -7*d**2 - 4*d + 6. Let m(x) = q*b(x) - 5*t(x). Suppose m(w) = 0. What is w?
0, 2
Let s(b) be the second derivative of b**7/21 + 2*b**6/15 - b**5/10 - b**4/3 - 4*b. Factor s(a).
2*a**2*(a - 1)*(a + 1)*(a + 2)
Let h(c) = -c**2 - 7*c + 11. Let t = 10 + -18. Let m be h(t). Factor -j**m - 4*j - 2*j + 2*j + 5*j.
-j*(j - 1)*(j + 1)
Let a(l) = -l - 1. Let t be a(-5). Let m be t + -1*(-2)/(-2). Factor 1 - 5*o - o + o + 5*o**m + 3*o**2 - 4*o**4.
-(o - 1)**2*(o + 1)*(4*o - 1)
Suppose -2*c - 1 = -3. Let g be (c - 1)/(-6 + 8). Let -4 + 13*k - 68*k**2 + g - 28*k - 48*k**3 - 15*k = 0. Calculate k.
-2/3, -1/2, -1/4
Let w = 668/15 - 221/5. Determine o so that -1/3*o**4 - 1/3*o + 0 + w*o**2 + 1/3*o**3 = 0.
-1, 0, 1
Let h(t) = -34*t**3 + 30*t**2 + 8*t - 2. Let s(l) = -l**3 - l**2 + 1. Let g(w) = -h(w) - 2*s(w). Factor g(f).
4*f*(f - 1)*(9*f + 2)
Let t(b) be the first derivative of -3*b**4/4 - b**3 + 6*b**2 + 12*b + 1. Let t(x) = 0. Calculate x.
-2, -1, 2
Let s(w) be the second derivative of w**7/4200 + w**6/1800 - 7*w**3/6 - 5*w. Let n(b) be the second derivative of s(b). Find o such that n(o) = 0.
-1, 0
Let s(z) be the first derivative of -4*z**5/5 - 2*z**4 + 4*z**2 + 4*z - 11. Determine g so that s(g) = 0.
-1, 1
Suppose -14 = -5*h - 3*r, 4*r + 19 = 2*h + 3. Let i(f) be the second derivative of -f + 1/24*f**3 + 0*f**2 + 1/48*f**h + 0. Find c such that i(c) = 0.
-1, 0
Suppose 29/2*w**2 - 1/2*w**4 + 11/2*w**3 + 13*w - 1/2*w**5 + 4 = 0. Calculate w.
-2, -1, 4
Factor 14*c**3 + 24 - 29*c + 18*c - 53*c - 74*c**2.
2*(c - 6)*(c + 1)*(7*c - 2)
Suppose 0 = -13*c + 17*c - 24. Factor -c*j**2 - 48/7*j + 14*j**3 - 8/7.
2*(j - 1)*(7*j + 2)**2/7
Let o = 39 + -23. Factor o*q**4 - 3*q**3 + 5*q**3 + 2*q**2 + 7*q**5 + 9*q**3.
q**2*(q + 1)**2*(7*q + 2)
Let j(u) be the first derivative of -u**5 - 20*u**4 - 150*u**3 - 500*u**2 - 625*u + 16. Determine f so that j(f) = 0.
-5, -1
Let a(f) = -2*f**3 + 23*f**2 + 11*f + 14. Let s be a(12). Find x such that -4/3*x**5 + 0 - 10/3*x**s - 14/3*x**4 - 2/3*x - 6*x**3 = 0.
-1, -1/2, 0
Let q(v) be the third derivative of -v**7/1995 - v**6/228 - 3*v**5/190 - 7*v**4/228 - 2*v**3/57 + 39*v**2. Determine u, given that q(u) = 0.
-2, -1
Let p(h) be the first derivative of 3*h**4/14 + 2*h**3/21 - 3*h**2/7 - 2*h/7 - 3. Factor p(v).
2*(v - 1)*(v + 1)*(3*v + 1)/7
What is n in 0*n - 4*n**3 - 4/3*n**2 - 5/3*n**4 + 0 = 0?
-2, -2/5, 0
Factor 18/7*p**2 + 0 + 4/7*p + 2*p**3.
2*p*(p + 1)*(7*p + 2)/7
Let p = -24 + 35. Let u be (-22)/p*(-6)/5. Let 12/5*q + 0 + u*q**2 + 3/5*q**3 = 0. What is q?
-2, 0
Let f(u) be the second derivative of 0 - 1/16*u**4 - 1/80*u**5 + 3*u - 1/8*u**2 - 1/8*u**3. Solve f(t) = 0 for t.
-1
Let d(w) = 11*w**4 - 10*w**3 - 5*w**2 + 16*w - 6. Let c(t) = t**4 + t - 1. Let j(h) = 6*c(h) - d(h). Factor j(b).
-5*b*(b - 2)*(b - 1)*(b + 1)
Let h be (-13)/(-4) - (-2)/(-8). Let y(n) be the second derivative of 0*n**2 - 1/10*n**5 - 1/18*n**4 - n - 1/15*n**6 - 1/63*n**7 + 0 + 0*n**h. Factor y(j).
-2*j**2*(j + 1)**3/3
Let l(p) be the first derivative of -p**2 - p**5 + 2*p**4 - 1/3*p**3 + 3 + 0*p. Determine t so that l(t) = 0.
-2/5, 0, 1
Let i(o) be the first derivative of -3*o**4/4 + 2*o**3 - 3*o**2/2 + 8. Factor i(q).
-3*q*(q - 1)**2
Let n(l) be the second derivative of -4*l**6/15 + 3*l**5/10 + l**4/6 - l. Factor n(o).
-2*o**2*(o - 1)*(4*o + 1)
Suppose 34*t + 66*t**4 - 68*t**4 + 2*t**3 + 12 + 30*t**2 + 4*t**3 = 0. What is t?
-1, 6
Suppose -18/5*s**3 - 16/5 - 98/5*s - 156/5*s**2 = 0. What is s?
-8, -1/3
Suppose 6*c + 16 = 8*c. Let j be (12/(-18))/(c/(-3)). Determine q so that 1 + q + j*q**2 = 0.
-2
Let j(m) be the first derivative of -1/12*m**4 + 1/6*m**2 - 2/3*m - 2/5*m**5 - 3 + 8/9*m**3. Solve j(b) = 0 for b.
-1, -2/3, 1/2, 1
Determine g so that -12*g + 3 - 33/4*g**2 + 27/4*g**3 = 0.
-1, 2/9, 2
Let z(i) = -5*i**2 + 30*i + 45. Let q(p) = -p**2 + 6*p + 9. Let o(m) = 11*q(m) - 2*z(m). Let v be o(7). Solve -1/2*n**v - 1/2 + n = 0.
1
Let i = -1 + 3. Let s(r) = -r**3 - 2*r**2 + 7*r - 2. Let c(b) = -3*b**3 - 3*b**2 + 15*b - 4. Let g(f) = i*c(f) - 5*s(f). Factor g(n).
-(n - 2)*(n - 1)**2
Let z(k) = k**3 + k**2 - 1. Let r(v) = -5*v**3 - 6*v**2 - v + 4. Let d(t) = 3*r(t) + 12*z(t). Factor d(m).
-3*m*(m + 1)**2
Factor -12/7 + 4/7*t**4 - 16/7*t + 9/7*t**2 + 15/7*t**3.
(t - 1)*(t + 2)**2*(4*t + 3)/7
Let a(q) be the second derivative of -q**5/10 - q**4/3 + q**3/3 + 2*q**2 + 20*q. Find x such that a(x) = 0.
-2, -1, 1
Let j(x) = 2*x**3 - 14*x**2 - 2*x. Let d(f) = -f**3 + 5*f**2 + f. Let g(u) = 14*d(u) + 5*j(u). Factor g(m).
-4*m*(m - 1)*(m + 1)
Let t(r) be the first derivative of -2*r**5/5 + 4*r**4 - 44*r**3/3 + 24*r**2 - 18*r - 21. Factor t(u).
-2*(u - 3)**2*(u - 1)**2
Let n(s) = s**3 - 3*s**2 + 2*s - 3. Let o = 7 + -4. Let m be n(o). Factor 10 - 10 + 3*v + m*v**2.
3*v*(v + 1)
Let p(o) be the first derivative of o**4/30 - o**3/5 - 5*o - 4. Let l(s) be the first derivative of p(s). Factor l(x).
2*x*(x - 3)/5
What is j in -2*j**2 + 0 + j**2 + 3*j**2 - 2 = 0?
-1, 1
Factor -1/3*m**5 - 1/3*m**4 + 0 + 0*m**3 + 0*m + 0*m**2.
-m**4*(m + 1)/3
Factor d**5 - 22*d**3 + 3*d**4 + 23*d**3 - 3*d**2 + 0*d**2 - 2*d.
d*(d - 1)*(d + 1)**2*(d + 2)
Suppo