(22/r)/(-1) + -1. Factor 6/5*k**2 + 2/5*k**3 + d*k + 2/5.
2*(k + 1)**3/5
Solve -1/3*n**2 - 2/3 + n = 0 for n.
1, 2
Let 0 - 1/2*f + 1/4*f**2 = 0. Calculate f.
0, 2
Let m(d) = 6*d**2 - 3*d + 2. Let t be m(1). Suppose -z = -f - 7, 25 = t*z + f - 4*f. Factor -1/4 - 1/4*l**z + 1/2*l.
-(l - 1)**2/4
Suppose 0*p + x = -p + 7, -2*x = p - 11. Factor 33/5*n**4 - 6/5 - 93/5*n**3 - p*n + 81/5*n**2.
3*(n - 1)**3*(11*n + 2)/5
Let n(h) be the second derivative of 16/25*h**6 + 0*h**2 - 4/15*h**7 - 6*h - 19/50*h**5 - 1/10*h**4 + 0 + 2/15*h**3. Let n(q) = 0. What is q?
-2/7, 0, 1/2, 1
Solve 4*z**2 + 3*z**2 - 6*z**2 + 12 + 8*z + 4 = 0.
-4
Suppose 3*y + 0*y - 11 = 2*i, 3*i - 12 = -5*y. Let j(d) be the first derivative of 1/9*d**y - 1/6*d**2 + 1 + 0*d. Factor j(a).
a*(a - 1)/3
Let a(y) = 6*y**2 + 3*y - 3. Let k(b) = 7*b**2 + 3*b - 4. Let v(x) = 4*a(x) - 3*k(x). Factor v(f).
3*f*(f + 1)
Let t be 2/(-4) + (-8)/(-16). Suppose t*w = -2*w. Solve 0*m**2 + 1/5*m - 1/5*m**3 + w = 0.
-1, 0, 1
Let d(w) be the first derivative of w**9/9072 - w**8/5040 - w**7/2520 + w**6/1080 + 2*w**3/3 + 3. Let o(p) be the third derivative of d(p). Factor o(y).
y**2*(y - 1)**2*(y + 1)/3
Let q(g) = 5*g + 5. Let m be q(-3). Let p = m + 12. Find c such that 0 + 3/2*c**3 + c**p - 1/2*c = 0.
-1, 0, 1/3
Let f(o) be the third derivative of -o**8/16 + 19*o**7/70 - o**6/5 - o**5/5 + 7*o**2. Let f(n) = 0. Calculate n.
-2/7, 0, 1, 2
Let g = 10 - 6. Suppose 6 = 6*d - g*d. Factor 4*m**3 + 2*m**2 - 4*m - m + d*m.
2*m*(m + 1)*(2*m - 1)
Let t(y) = 2 - 5 - 5*y + 2*y. Let l be t(-2). Factor 2*m**5 - 2*m**3 - 2*m**l + 2*m + 0*m.
2*m*(m - 1)**2*(m + 1)**2
Let q(c) be the second derivative of c**5/20 + c**4/4 - c. Find r, given that q(r) = 0.
-3, 0
Let m(u) be the first derivative of -u**3 - 1/2*u**6 + 0*u**2 + 3/5*u**5 + 3/4*u**4 + 0*u + 7. Factor m(k).
-3*k**2*(k - 1)**2*(k + 1)
Let m(g) be the first derivative of 1/5*g**4 + 6/25*g**5 - 4 + 0*g**2 + 0*g - 2/15*g**3. Determine r, given that m(r) = 0.
-1, 0, 1/3
Factor 10*l - 13 - 5 - 40*l - 2*l**3 - 14*l**2.
-2*(l + 1)*(l + 3)**2
Let d(g) be the third derivative of g**8/3360 - g**7/1680 - g**6/1440 - g**4/24 + 2*g**2. Let p(q) be the second derivative of d(q). Solve p(j) = 0.
-1/4, 0, 1
Let i(w) = w**2 + 5*w + 4. Let g be i(-5). Let h be 10/15 - 20/(-6). Solve -8*a**3 + 1 + 10*a**2 + h*a**3 - 4*a + a**4 - g*a**2 = 0 for a.
1
Factor 5*h**4 - 3*h - 2*h**3 - 3*h**3 + 3*h.
5*h**3*(h - 1)
Let q(o) = -o**3 - 5*o**2 + 5*o + 5. Let k(t) = -t**2 + t + 1. Let i(m) = 12*k(m) - 3*q(m). Factor i(f).
3*(f - 1)*(f + 1)**2
Let f be (-1 + 5)*(-2)/(-4). Suppose -4*q + 31 = 5*l - 4*l, 2*q - 3*l - 5 = 0. Solve d**3 + 0*d**3 + f*d - 7*d**4 + q*d**2 - 3*d**3 = 0 for d.
-1, -2/7, 0, 1
Suppose 4*q + 3*f = 3, -q + 6 = -3*q - 4*f. Suppose 4*x + 1 = -2*r - 1, r = -4*x + q. Solve -2 + b**x + 0*b + 0*b + b**2 = 0.
-1, 1
Factor 35*o**2 + 150*o - 24 - 6 - 245*o.
5*(o - 3)*(7*o + 2)
Let x be 39/6 - (-3)/(-2). Let k = -4 - -7. Find d, given that d + 3*d**3 - x*d**3 + d**k = 0.
-1, 0, 1
Let r(q) be the second derivative of -2*q + 0*q**2 - 1/12*q**4 - 1/10*q**5 + 1/3*q**3 + 0 + 1/30*q**6. Factor r(t).
t*(t - 2)*(t - 1)*(t + 1)
Suppose -30 = -2*w - 8*w. Let 2*v**2 + 9/2*v - 1 + 9/2*v**5 - 9*v**w - v**4 = 0. Calculate v.
-1, 2/9, 1
Let i(d) be the first derivative of -1/2*d**4 + d**2 - 2 + 4/3*d - 4/9*d**3. Solve i(s) = 0 for s.
-1, -2/3, 1
Let i(o) be the first derivative of -o**7/105 - o**6/120 + o**5/20 + o**4/24 - o**3/6 + 2*o**2 - 4. Let g(j) be the second derivative of i(j). Factor g(r).
-(r - 1)*(r + 1)**2*(2*r - 1)
Let r(g) = g**2 - 5*g + 4. Let c be r(4). Let -6*a + 2*a**2 + 0 + 12*a**2 + 2*a**4 + c - 10*a**3 = 0. Calculate a.
0, 1, 3
Let f(q) be the third derivative of 0*q - 1/11*q**4 - 1/1155*q**7 - 4*q**2 - 3/11*q**3 + 1/165*q**6 + 1/165*q**5 + 0. Find p, given that f(p) = 0.
-1, 3
Let w = -2 + 6. Let 4*t - 25*t**2 + 2*t**3 - t**4 + 37*t**2 - t**3 + 4*t**5 - 11*t**w = 0. Calculate t.
-1/2, 0, 2
Let r(k) be the second derivative of k**7/8820 - k**5/420 - k**4/4 - 2*k. Let f(l) be the third derivative of r(l). Solve f(c) = 0.
-1, 1
Suppose 14/3*g - 20/3 - 2/3*g**2 = 0. What is g?
2, 5
Let i = 37 + -37. Let y(j) be the second derivative of 0*j**4 + 1/42*j**7 + 0 + i*j**3 + 1/60*j**5 + 2/45*j**6 - 3*j + 0*j**2. Suppose y(m) = 0. What is m?
-1, -1/3, 0
Let m(j) be the first derivative of j**5/80 - j**3/24 - j + 2. Let y(w) be the first derivative of m(w). What is z in y(z) = 0?
-1, 0, 1
Suppose -3*d - 2*d + 20 = 0. Find n such that 7*n**2 + 4*n**3 + 0*n**4 + 2*n - 2*n**3 + 5*n**d + 7*n**3 + n**5 = 0.
-2, -1, 0
Find m such that 0*m - 1/10*m**5 - 3/10*m**4 - 3/10*m**3 + 0 - 1/10*m**2 = 0.
-1, 0
Let f(u) be the second derivative of 1/2*u**3 + 5*u - 1/3*u**2 + 0 - 1/9*u**4. Factor f(j).
-(j - 2)*(4*j - 1)/3
Let y(j) be the second derivative of j**5/80 - j**4/16 + j**3/8 - j**2/8 - j. What is k in y(k) = 0?
1
Let m be (-1)/(-2) - (-10)/4. Let x**3 - x**2 - 3*x + 0*x + x**4 + m*x - x**5 = 0. Calculate x.
-1, 0, 1
Let v be 15/(-6)*4/(-5). Let s(a) = a**2 - 19*a + 18. Let l be s(18). Find d, given that -1/2*d**v + 1/2*d**5 + 1/2*d**4 + 0*d + l - 1/2*d**3 = 0.
-1, 0, 1
Let p(l) = -l**3 + l**2 + l + 1. Let q(x) = 0 + 4*x**3 - x - 3*x - 3 - 4*x**2. Let r = 2 - 9. Let g(n) = r*p(n) - 2*q(n). Suppose g(b) = 0. What is b?
-1, 1
Let p(x) = -x**3 + 10*x**2 - 8*x - 7. Let b(w) = -w**2 + 9*w + 9. Let o be b(9). Let n be p(o). Determine u, given that 2/7 + 0*u - 2/7*u**n = 0.
-1, 1
Let z be (((-8)/30)/2)/((-6)/30). Let f(l) be the first derivative of -3 + 4*l - z*l**3 + l**2. Factor f(x).
-2*(x - 2)*(x + 1)
Let k(p) be the second derivative of -p**8/16800 + p**6/1800 + p**4/4 + 2*p. Let m(z) be the third derivative of k(z). Factor m(h).
-2*h*(h - 1)*(h + 1)/5
Let a(o) be the second derivative of -o**5/20 - o**4/3 - 2*o**3/3 + o**2 + 3*o. Let f(y) be the first derivative of a(y). Determine c so that f(c) = 0.
-2, -2/3
Let s = 2599/2 - 1016. Let -s*f**5 - 657/2*f**4 + 0 - 23*f**3 + 4*f + 26*f**2 = 0. What is f?
-1, -2/9, 0, 2/7
Let s(l) be the second derivative of 0 - 1/15*l**6 + 1/6*l**4 - 1/6*l**3 + 0*l**2 + l + 1/20*l**5. Factor s(q).
-q*(q - 1)*(q + 1)*(2*q - 1)
Suppose 0 = c + 4*c - 15. What is b in -b + 3*b**c - 2*b - 2*b**3 + 2*b**2 = 0?
-3, 0, 1
Let c(q) be the first derivative of -2*q**3/3 - 2*q**2 - 2*q - 22. Let c(v) = 0. Calculate v.
-1
Let u(s) be the third derivative of s**6/360 - s**3/6 + 3*s**2. Let a(v) be the first derivative of u(v). Factor a(r).
r**2
Let j = 1 - -1. Let y be -2 - (-27)/3 - j. Determine p so that -3*p + 4*p**2 - y*p**3 + 4*p**3 - p = 0.
0, 2
Let w(a) = a**2 + a + 1. Let t(d) = 4*d**2 + d + 3. Let k(u) = -2*t(u) + 6*w(u). Determine j, given that k(j) = 0.
0, 2
Let s(w) be the third derivative of 0*w - 1/20*w**5 + 0 + 0*w**3 + 1/4*w**4 + 5*w**2 - 1/40*w**6. Determine q, given that s(q) = 0.
-2, 0, 1
Let g(m) = 6*m**2. Let w be g(-1). Let x(p) be the third derivative of 0*p**3 + 0*p + p**2 + 0*p**4 + 0 + 1/120*p**5 - 1/240*p**w. Factor x(u).
-u**2*(u - 1)/2
Let h(s) be the second derivative of -s**7/231 + s**6/55 - s**5/55 - s**4/33 + s**3/11 - s**2/11 + 2*s. Factor h(i).
-2*(i - 1)**4*(i + 1)/11
Let f(s) = -s**3 - 2*s + 3. Let p(x) = -x**3 + 1. Let g(d) = -2*f(d) + 6*p(d). Let g(a) = 0. What is a?
-1, 0, 1
Let j = 8 + -5. Let f = 270 - 266. Suppose 0 - 2/9*h**2 + 0*h**j + 2/9*h**f + 0*h = 0. What is h?
-1, 0, 1
Suppose 6*u = 9*u - 4*m + 11, 2*u - 5*m + 19 = 0. Determine y, given that 1 + 25/4*y**u - 4*y + 5/4*y**2 = 0.
-1, 2/5
Let i(s) = -2*s**5 + 2*s**3 + 4*s**2 - 4*s - 2. Let h(z) = -4*z**5 + z**4 + 3*z**3 + 8*z**2 - 9*z - 4. Let j(a) = -2*h(a) + 5*i(a). Factor j(c).
-2*(c - 1)**2*(c + 1)**3
Let x(f) = f**5 + f**4 + f**3 - f**2 + f - 1. Let z(d) = 11*d**5 + 16*d**4 + d**3 - 16*d**2 + 6*d - 6. Let i(t) = -6*x(t) + z(t). Factor i(g).
5*g**2*(g - 1)*(g + 1)*(g + 2)
Let o(w) be the first derivative of -12*w**5/5 - 7*w**4/3 + 8*w**3/9 - 16. Factor o(t).
-4*t**2*(t + 1)*(9*t - 2)/3
Suppose -p - 1 = -4*k - k, 5 = -3*k + 2*p. Let t(y) be the first derivative of 0*y - 4/15*y**3 - 1/10*y**4 - k + 0*y**2. What is l in t(l) = 0?
-2, 0
Let y = 3 - 0. Factor -4*g**y + 0*g + 5*g - g + 8*g + 8.
-4*(g - 2)*(g + 1)**2
Let l = 317882118/1019 - 311955. Let d = 363918/5095 + l. Determine o, g