1*q = 0.
0, 3
Suppose 5*n - 10 = 5*j, 2*j + 3*j + 10 = -2*n. Suppose 0 = -n*l + l. Factor 0*v**4 + l*v**3 + 0 + 0*v + 0*v**2 + 1/3*v**5.
v**5/3
Let l = -117/2 - -59. Suppose -2*t + 3*t = 3. Determine p so that -l*p**t - p**2 - 1/2*p + 0 = 0.
-1, 0
Let v(b) = -2*b + 7. Let l be v(0). Determine j so that -l*j**2 + 4*j**2 - j**2 = 0.
0
Let j be (2/(-8))/(4/504). Let w = 319/10 + j. Factor w*b**3 - 2/5*b - 2/5 + 2/5*b**2.
2*(b - 1)*(b + 1)**2/5
Determine l, given that -46*l - 40*l**3 + 110*l**2 + 46 + 5*l**4 - 74*l - 1 = 0.
1, 3
Let j(c) be the second derivative of -c**7/98 - c**6/35 - 3*c**5/140 - 12*c. Factor j(a).
-3*a**3*(a + 1)**2/7
Suppose -51*a**3 - 2*a**2 + 39*a**3 - 16*a**2 - 2*a**4 = 0. Calculate a.
-3, 0
Let c(z) be the third derivative of 0*z**4 + 0*z - 1/840*z**7 + 0*z**3 + 0*z**6 + 0*z**5 + 0 + 2*z**2 + 1/1344*z**8. Solve c(p) = 0 for p.
0, 1
Let h be (-252)/(-98) - 4/7. Let c(s) be the first derivative of -h*s + 3/2*s**2 + 1 - 1/3*s**3. Factor c(a).
-(a - 2)*(a - 1)
Let d be (1 + 11)*(-12)/(-63). Determine j so that 8/7*j**5 - 2/7 - 2*j**4 - 4/7*j + d*j**2 - 4/7*j**3 = 0.
-1, -1/4, 1
Determine l so that 15*l**2 - 15*l**3 + 0*l + 267*l**5 + 10*l - 35*l**4 - 282*l**5 = 0.
-1, 0, 2/3
Suppose -2*a + k = -10, -2*a + k = 3*k + 2. Let j(d) be the first derivative of -1/3*d**a - d - 3 + d**2. Factor j(h).
-(h - 1)**2
Let x(h) = -h**3 - 3*h**2 - 2*h + 2. Let q be x(-2). Let z be 32/(-12) + 2 - -1. Factor -1/3*a**3 + 1/3*a + z - 1/3*a**q.
-(a - 1)*(a + 1)**2/3
Suppose 24 = 4*k - 32. Let j = 29/2 - k. Factor -j + 5*f**3 - 5/2*f**4 - 5*f**2 + 1/2*f**5 + 5/2*f.
(f - 1)**5/2
Let f(t) be the first derivative of -4*t**3/15 + 2*t**2 - 16*t/5 + 58. Factor f(d).
-4*(d - 4)*(d - 1)/5
Let k = -96 + 96. Factor k*h + 0 + 2/11*h**4 + 0*h**2 + 4/11*h**3.
2*h**3*(h + 2)/11
Let i(p) be the first derivative of 13/12*p**4 - 7/5*p**5 + 2/3*p - 4 + 19/9*p**3 - 13/6*p**2. Solve i(z) = 0.
-1, 2/7, 1/3, 1
Let r(i) be the first derivative of 8*i**5/15 + 3*i**4/2 + 4*i**3/3 + i**2/3 - 2. Suppose r(w) = 0. Calculate w.
-1, -1/4, 0
Let g = -3 + 4. Let r = 2 + g. Determine s so that -2*s**2 + 2*s + 0*s**2 + r*s**2 = 0.
-2, 0
Let l(z) be the third derivative of 0*z**3 + 1/60*z**4 + 0 + 0*z - 1/75*z**5 - 2*z**2 + 1/300*z**6. Let l(f) = 0. Calculate f.
0, 1
Let p(w) be the first derivative of -w**6/2 + 6*w**5/5 + 9*w**4/4 - 8*w**3 + 6*w**2 - 4. Find i such that p(i) = 0.
-2, 0, 1, 2
Let i(v) = -v**3 + v + 1. Let z(q) = -12*q**4 - 30*q**3 + 6*q**2 + 30*q + 9. Let l(t) = 3*i(t) - z(t). Find h, given that l(h) = 0.
-2, -1, -1/4, 1
Suppose d - 33 = -2*l - 4*d, 0 = -l - 4*d + 24. Let c(x) be the second derivative of 1/42*x**l + 0 + 0*x**3 - 2*x - 1/7*x**2. Determine g so that c(g) = 0.
-1, 1
Let t(g) = g**3 + g**2 + g. Let n(f) be the third derivative of -f**6/40 + f**4/8 + 6*f**2. Let z(y) = n(y) - 3*t(y). Factor z(w).
-3*w**2*(2*w + 1)
Let z(q) be the first derivative of -q**6/1440 - q**5/480 + q**4/48 - 2*q**3/3 + 3. Let j(d) be the third derivative of z(d). Factor j(u).
-(u - 1)*(u + 2)/4
Let o = -447/2 + 224. Factor 1 + 1/2*h - o*h**2.
-(h - 2)*(h + 1)/2
Factor -1/4 + 0*c + 1/4*c**2.
(c - 1)*(c + 1)/4
Let v(u) = -u**3 - 4*u**2 + 2. Let c be v(-4). Let t = -178 + 542/3. Find l such that 2/3*l**3 - t*l**c + 10/3*l - 4/3 = 0.
1, 2
Let f(c) = -c**2 + 12*c + 6. Let v(g) = -7*g - 2. Let l(y) = 8*y + 2. Let t(d) = 3*l(d) + 4*v(d). Let s(z) = 2*f(z) + 7*t(z). Solve s(o) = 0.
-1
Let m = -652/63 - -74/7. Factor -2*o**5 + 0 - m*o - 8/9*o**2 + 4/9*o**3 + 8/3*o**4.
-2*o*(o - 1)**2*(3*o + 1)**2/9
Suppose 127 + 71 = 3*i. Let d be (0 - 3) + i/18. Let -d*c**2 + 4/9 + 2/9*c = 0. What is c?
-2/3, 1
Let m(u) = -u**2 + 8*u - 7. Let l be m(6). Let j be (-2 + (60/14)/2)*6. Solve 2/7 - 12/7*d**2 + 20/7*d**3 + 6*d**4 - j*d + 18/7*d**l = 0 for d.
-1, 1/3
Let n(g) be the second derivative of -3*g**5/5 - 4*g**4/3 + 26*g**3/3 - 12*g**2 - 20*g. Factor n(h).
-4*(h - 1)*(h + 3)*(3*h - 2)
Let i be ((-36)/(-150))/((42/20)/7). Solve -2/5*a**2 - 6/5*a - i = 0 for a.
-2, -1
Let g(a) be the second derivative of 3*a**5/40 - a**4/8 - 13*a. Solve g(p) = 0 for p.
0, 1
Let i(c) be the first derivative of 0*c - 4 + 0*c**2 + 0*c**3 + 1/36*c**6 + 1/6*c**4 - 2/15*c**5. Factor i(h).
h**3*(h - 2)**2/6
Let g = 18556/1113 + -2/371. Let l = 17 - g. Find c such that 0*c**2 + 0*c + 0*c**4 + l*c**5 - 1/3*c**3 + 0 = 0.
-1, 0, 1
Let b(h) be the first derivative of 27*h**4/4 - 5*h**3 - 24*h**2 + 60*h + 6. Let c(t) = 11*t**3 - 6*t**2 - 19*t + 24. Let l(u) = -5*b(u) + 12*c(u). Factor l(m).
-3*(m - 2)*(m - 1)*(m + 2)
Let z(g) be the third derivative of -g**8/168 - 11*g**7/105 - 23*g**6/30 - 3*g**5 - 27*g**4/4 - 9*g**3 + 6*g**2. Factor z(j).
-2*(j + 1)**2*(j + 3)**3
Let u(k) be the third derivative of k**5/120 - k**3/12 - 19*k**2. Factor u(a).
(a - 1)*(a + 1)/2
Let t(c) be the third derivative of c**8/336 - 2*c**7/105 + c**6/40 + c**5/15 - c**4/6 - 9*c**2. Determine f, given that t(f) = 0.
-1, 0, 1, 2
Let d(z) be the third derivative of z**5/5 - 5*z**4/8 + z**3/2 - 3*z**2. Solve d(q) = 0.
1/4, 1
Let w(b) be the first derivative of b**3/5 - 3*b**2/10 + 32. Factor w(z).
3*z*(z - 1)/5
Suppose -b - 8 = -a - 9, 3*b = -3*a - 3. Factor 2/3*p**3 + 0*p + b - 2/3*p**2.
2*p**2*(p - 1)/3
Let b be (-10 + 11)/((-36)/(-128)). Factor -b*v - 10/9*v**2 + 14/9*v**3 - 8/9.
2*(v - 2)*(v + 1)*(7*v + 2)/9
Solve 22*p**3 + 4*p**2 + 5*p**4 - p**4 - 14*p**3 = 0 for p.
-1, 0
Let b(j) be the second derivative of -2*j - 1/21*j**3 - 1/42*j**4 + 1/105*j**6 + 0*j**2 + 1/70*j**5 + 0. Factor b(a).
2*a*(a - 1)*(a + 1)**2/7
Let q = 7 - 5. Factor 4*h - 60*h**q - 21*h**4 + 76*h**3 - 7*h**3 + 8*h.
-3*h*(h - 2)*(h - 1)*(7*h - 2)
Let a be (-5)/150 + 5/3. Let c(r) be the third derivative of -7/6*r**4 + 4/9*r**3 + 0*r - 343/360*r**6 - 3*r**2 + a*r**5 + 0. Factor c(m).
-(7*m - 2)**3/3
Let n(b) be the third derivative of 1/60*b**4 + 0 - 1/50*b**5 + 1/5*b**3 + 4*b**2 - 1/300*b**6 + 0*b. Solve n(o) = 0.
-3, -1, 1
Let z(f) be the first derivative of 0*f + 0*f**5 + 0*f**2 + 1/16*f**4 + 0*f**3 - 1/24*f**6 + 1. Factor z(i).
-i**3*(i - 1)*(i + 1)/4
Let f(x) be the first derivative of 3*x**3 - 3*x**2/2 - 6*x + 7. Find p, given that f(p) = 0.
-2/3, 1
Let w(n) be the third derivative of n**4/24 - n**3/3 + 3*n**2. Let s be w(5). Factor -1/4*v**s - v**2 - 5/4*v - 1/2.
-(v + 1)**2*(v + 2)/4
Let -2*n**3 + 5*n**2 - 3*n**3 + n**2 + 3*n**3 = 0. What is n?
0, 3
Let z(q) = -q**2 - 5*q + 2. Let j be z(-5). Find d such that 2*d + 2/3 + 2/3*d**3 + j*d**2 = 0.
-1
Let w(x) = -3*x**3 + 4*x**2 + x - 6. Let j(u) = -u**2 - u. Let a(m) = 2*j(m) - w(m). Let a(d) = 0. What is d?
-1, 1, 2
Find z such that 20/9*z**2 + 20/9*z + 0*z**3 + 2/3 - 4/9*z**5 - 10/9*z**4 = 0.
-1, 3/2
Find f, given that -3*f**2 + 1/3*f**3 + 9*f - 9 = 0.
3
Let r(o) = 4*o**3 - 24*o + 12. Let g(f) = 8*f**3 - f**2 - 49*f + 24. Let q(d) = -4*g(d) + 9*r(d). Factor q(m).
4*(m - 1)**2*(m + 3)
Let i(s) be the second derivative of -1/25*s**5 - 2/15*s**3 + 1/10*s**4 + 1/10*s**2 + 1/150*s**6 - s + 0. Factor i(j).
(j - 1)**4/5
Suppose -v = 3*v. Suppose -5*y - 2*b + 382 - 130 = 0, v = 4*b - 4. Find g such that 99*g**2 - 140*g**3 + 8 + 23*g**2 + 10*g - 66*g + y*g**4 + 16*g**2 = 0.
2/5, 1
Let x(d) = d**2 - 44*d + 84. Let o be x(2). Factor -1/3*k**5 + k**4 - k**3 + 1/3*k**2 + o*k + 0.
-k**2*(k - 1)**3/3
Suppose f = f + 2*f. Let 1/5*l**2 + 1/5*l + f = 0. Calculate l.
-1, 0
Factor -18*n**2 + 2 + 21*n**2 + 9*n**3 - 2.
3*n**2*(3*n + 1)
Let f(y) be the second derivative of y**7/21 + y**6/15 - y**5/10 - y**4/6 - 5*y. Factor f(c).
2*c**2*(c - 1)*(c + 1)**2
Let m(n) be the third derivative of 1/20*n**4 - 2*n**2 - 1/300*n**6 + 0*n + 0 - 2/15*n**3 + 0*n**5. Let m(c) = 0. What is c?
-2, 1
Let m(f) be the first derivative of -f**6/60 + 3*f**5/20 - f**4/2 + 2*f**3/3 + 2*f + 4. Let o(b) be the first derivative of m(b). Suppose o(t) = 0. What is t?
0, 2
Let d(c) be the first derivative of -4*c + 2 + 10/3*c**3 - 3*c**2. Suppose d(q) = 0. Calculate q.
-2/5, 1
Let y = -5/2 - -49/18. Solve 2/9*d**3 - y + 2/9*d**2 - 2/9*d = 0.
-1, 1
Let l = -1051 - -2103/2. Suppose -1/2*d**5 + d**4 + 0*d**3 + 0 + l*d - d**2 = 0. What is d?
-1, 0, 1
Let h(n) = n - 1. Let f(k) = -k**2 + k. Let i(u) = -f(u) + h(u). Let i(w) = 0. What is w?
-1, 1
Let i be (-7)/42*(-1)/(2/3). Let b(y) be the