*3/5 - 3*w**2/10 - w/5 + 18. Solve f(x) = 0 for x.
-1
Let y(v) = 6*v - 5. Let l be y(2). Let a = 7 - l. Factor 0 + 0*q + a*q**3 + 1/4*q**4 - 1/4*q**2.
q**2*(q - 1)*(q + 1)/4
Let v = 16 - 16. Let n(z) be the second derivative of v*z**4 + 0*z**2 + 1/14*z**7 + 0*z**6 + z + 0 + 1/2*z**3 - 3/10*z**5. Factor n(c).
3*c*(c - 1)**2*(c + 1)**2
Let l(s) be the second derivative of s**6/105 + s**5/70 - s**4/14 - s**3/21 + 2*s**2/7 + 19*s. Factor l(b).
2*(b - 1)**2*(b + 1)*(b + 2)/7
Solve -4*x**4 + 2*x + 4*x**5 + x + 8*x + 4*x**2 - 3*x - 12*x**3 = 0.
-1, 0, 1, 2
Let w(v) = -7*v**3 + 7*v**2 + 31*v + 35. Let c(z) = -30*z**3 + 29*z**2 + 125*z + 141. Let r(f) = 6*c(f) - 26*w(f). Find l such that r(l) = 0.
-2, 8
Let w(k) be the third derivative of k**6/24 + k**5/12 - 20*k**2. Let w(y) = 0. What is y?
-1, 0
Suppose w = -1 + 2. Suppose 3*r - 8 = -2. Factor -2 + 3*u + u**4 - r*u**3 - u + w.
(u - 1)**3*(u + 1)
Let c = -2/315 - -949/630. Factor 15/4*q**3 - 15/4*q - 3/2 + c*q**2.
3*(q - 1)*(q + 1)*(5*q + 2)/4
Let y = 203 + -203. Factor 3/4*t**4 + 1/4*t**3 - 3/4*t**2 - 1/2*t + 1/4*t**5 + y.
t*(t - 1)*(t + 1)**2*(t + 2)/4
Let h(d) be the second derivative of d**4/16 + d**3/2 + 3*d**2/2 + 26*d. Factor h(v).
3*(v + 2)**2/4
Let t be (-2)/6 - 7/(-3). Let 6*w**2 + 6*w + 10*w - 8 + 9*w**2 - 5*w**t = 0. What is w?
-2, 2/5
Let o = 12 - 6. Suppose o*r = r + 15. Factor -2/7 + 2/7*b**r - 2/7*b + 2/7*b**2.
2*(b - 1)*(b + 1)**2/7
Let v = 73/15 - 21/5. Let d(m) be the first derivative of 0*m + 1 - 1/2*m**2 + v*m**3 - 1/4*m**4. Factor d(t).
-t*(t - 1)**2
Let -2/11*a + 8/11*a**2 - 4/11*a**4 - 2/11*a**5 - 4/11 + 4/11*a**3 = 0. What is a?
-2, -1, 1
Let p = 0 + 2. Suppose -3*r + 4 - r + 0*r**p + r**2 = 0. What is r?
2
Let u(s) be the second derivative of -s**6/360 - s**5/90 - s**4/72 - 3*s**2/2 - 2*s. Let g(j) be the first derivative of u(j). Factor g(t).
-t*(t + 1)**2/3
Let -5/7*l**2 + 0 - 2/7*l - 3/7*l**3 = 0. Calculate l.
-1, -2/3, 0
Let b(v) = -v**2 + 9*v - 5. Let y be b(9). Let u = -3 - y. Factor -1/2*w**u + 0 + 0*w.
-w**2/2
Suppose 2*g - 4 = 2*x, -4*g - 2 = -3*x - 6. Let t(z) = -7*z**2 - 14*z - 23. Let k(i) = 36*i**2 + 69*i + 114. Let u(d) = x*k(d) - 21*t(d). Factor u(c).
3*(c + 3)**2
Suppose 0 = 6*x - 2*x. Let f(n) be the first derivative of 0*n + 2 - 1/12*n**3 + x*n**2. Factor f(c).
-c**2/4
Suppose 4*a = 2*a + 2*c + 32, -37 = -4*a - 5*c. Factor 2 + 11 - 3*t**3 - 1 + 4*t**2 - a*t**2.
-3*(t - 1)*(t + 2)**2
Suppose -4*s = -6*s. Let r be ((-2)/6)/((-1)/2). Factor -4/3*p**2 - 2*p**3 + r*p + s.
-2*p*(p + 1)*(3*p - 1)/3
Let k = -2/139 + 147/556. Let l be 75/(-20)*2/(-6). Let 1/2*m**3 + m - l*m**2 - k = 0. What is m?
1/2, 1
Determine n so that n**3 + 2*n**3 - 4*n - 8*n**2 + 8*n + n**3 = 0.
0, 1
Let s = 89/4 - 437/20. Suppose -2*t = -4*b - 16, 2*b = 5*t - 4 - 4. Solve 4/5*g**2 + 0 - s*g**5 + t*g - 2*g**3 + 8/5*g**4 = 0 for g.
0, 1, 2
Suppose -4*f = f. Let x = f + 1/2. Find i such that -1/2*i**2 + 0 + x*i = 0.
0, 1
Factor -3/2*t**3 - 3/2*t**4 + 3/2*t**2 + 3/2*t + 0.
-3*t*(t - 1)*(t + 1)**2/2
Suppose -4*z - g = -2*g - 14, -4*z + 2*g = -16. Factor 2*y**5 + z*y**2 + 8*y**4 + 6*y**3 + y**2 + 3*y**3 + y**3.
2*y**2*(y + 1)**2*(y + 2)
Let z = -41 + 44. Let s(p) be the first derivative of 3 + 0*p**2 + 1/12*p**z - 1/4*p. What is w in s(w) = 0?
-1, 1
Suppose 2472 = -3*p + 3*g, 0*g - 1653 = 2*p - g. Let z = 4161/5 + p. Solve 56/5*u - 16/5*u**4 + 2/5*u**5 - 76/5*u**2 - z + 10*u**3 = 0 for u.
1, 2
Let q(i) be the third derivative of -i**5/150 + i**4/20 + 3*i**2. Determine a so that q(a) = 0.
0, 3
Let u(a) be the first derivative of -a**5/25 - a**4/20 + 2*a**3/15 + 35. Factor u(j).
-j**2*(j - 1)*(j + 2)/5
Let a(p) be the third derivative of -p**5/270 + p**4/36 - 2*p**3/27 - 6*p**2. Factor a(q).
-2*(q - 2)*(q - 1)/9
Factor 3/2*w**2 + 3/2*w - 3.
3*(w - 1)*(w + 2)/2
Let k(r) be the first derivative of 0*r + 1/12*r**4 + 4 - 1/9*r**3 - 1/3*r**2. Suppose k(z) = 0. What is z?
-1, 0, 2
Suppose 0 = -l + 3*d - 3, -3*l + 5*d - 4 = 1. Solve -2/3*g**3 + 0*g - 2/3*g**2 + l = 0.
-1, 0
Let t(q) be the first derivative of -q**4/18 + 2*q**3/27 + 2*q**2/9 - 6. Suppose t(y) = 0. What is y?
-1, 0, 2
Let c = -1/7 - -57/350. Let o(t) be the second derivative of 1/15*t**3 - 1/5*t**2 - 2*t - c*t**5 + 1/30*t**4 + 0. Factor o(r).
-2*(r - 1)**2*(r + 1)/5
Let t(c) = 0 - 2 - 5 + 10*c - c**2. Let l be t(9). Determine v so that v**2 + 2 + 2*v - v**3 - v**3 - 3*v**l = 0.
-1, 1
Let v(r) = 3. Let x(b) = -2*b**2 + 2*b + 2. Let z be x(2). Let a(d) = d**2 + 1. Let p(u) = z*v(u) + 3*a(u). Determine q, given that p(q) = 0.
-1, 1
Let f(k) be the third derivative of -7*k**5/20 + 5*k**4/8 + k**3 + 12*k**2. Determine j, given that f(j) = 0.
-2/7, 1
Let v(s) be the first derivative of 0*s - 1 + 0*s**2 - s**3 + 3/4*s**4. Determine b so that v(b) = 0.
0, 1
Let b(z) = -z**2 - 4*z + 5. Let a be b(-5). Let i(m) be the first derivative of 0*m + 1 + 1/3*m**4 + 2/9*m**3 + 2/15*m**5 + a*m**2. Solve i(o) = 0.
-1, 0
Let b = 9 + -17. Let z(m) = 14*m**2 - 2*m - 4. Let n(a) = -a**2. Let y(x) = b*n(x) - z(x). Let y(j) = 0. Calculate j.
-2/3, 1
Let z = 255 + -253. Factor 3/2*l**z - 1/2*l**4 + 0 + 0*l**3 + l.
-l*(l - 2)*(l + 1)**2/2
Let o = 449/8 - 56. Let i(k) be the second derivative of -1/12*k**3 + 1/60*k**6 + 3*k + 0*k**2 - 3/40*k**5 + 0 + o*k**4. Determine b, given that i(b) = 0.
0, 1
Let y(m) be the second derivative of m**6/105 + 3*m**5/70 + m**4/42 - m**3/7 - 2*m**2/7 - 34*m. Solve y(x) = 0 for x.
-2, -1, 1
Let k(y) = -y**2 - 8*y - 4. Let n be k(-8). Let u be (6/5)/(n/(-10)). Determine m, given that -4/7*m**u - 2/7 + 2/7*m**4 + 0*m**2 + 4/7*m = 0.
-1, 1
Suppose 45/4*l**4 + 21/8*l**5 + 0 - 45/4*l**2 + 3/8*l**3 - 3*l = 0. What is l?
-4, -1, -2/7, 0, 1
Let q = -2/723 + 4364/9399. Factor 4/13*h**2 + 0*h + q*h**3 + 0 + 2/13*h**4.
2*h**2*(h + 1)*(h + 2)/13
Let z(r) = 2*r + 24. Let p be z(-11). Let s(d) be the first derivative of -3 + 1/10*d**4 - 4/15*d**3 + 1/5*d**p + 0*d. What is y in s(y) = 0?
0, 1
Let j = 61/50 - 18/25. Factor j*c**4 - c**3 + 0*c + 1/2*c**2 + 0.
c**2*(c - 1)**2/2
Let c be 4/54*(-5)/((-15)/9). Factor 0*r - c*r**2 + 0.
-2*r**2/9
Suppose 77 - 47 = 10*v. Suppose -3*j + 14 = 2*r, 0*r + r - 5*j = -6. Factor 0*o**r + 0 + 0*o**2 - 1/3*o**5 + 0*o**v + 0*o.
-o**5/3
Let s(u) be the second derivative of u**6/150 - u**4/12 + 2*u**2/5 + 14*u. Find g, given that s(g) = 0.
-2, -1, 1, 2
Factor -4/7 + 2/7*v**2 - 2/7*v.
2*(v - 2)*(v + 1)/7
Let u(q) = 20*q**3 + 188*q**2 + 748*q + 580. Let y(x) = -7*x**3 - 63*x**2 - 249*x - 193. Let w(h) = -3*u(h) - 8*y(h). Solve w(d) = 0.
-7, -1
Determine l so that 7/9*l**2 - 1/9*l**3 + 1 - 5/3*l = 0.
1, 3
Let z(r) = -2*r**2 - 20*r + 36. Let n(t) = -t**2 - 19*t + 35. Let l(j) = -4*n(j) + 3*z(j). Factor l(k).
-2*(k - 4)**2
Determine k so that 2/3*k - 4/3*k**4 - 2*k**3 + 0 + 0*k**2 = 0.
-1, 0, 1/2
Suppose -11*c = -8*c - 6. Factor 4/3*v**c - 2/3*v**3 + 0 - 2/3*v.
-2*v*(v - 1)**2/3
Determine k so that -8/9*k + 2/9*k**4 - 10/9*k**3 + 16/9*k**2 + 0 = 0.
0, 1, 2
Let g = 118 - 116. Let b(o) be the second derivative of 5/12*o**4 + 0 + 0*o**g - 1/3*o**3 - 3*o - 1/5*o**5 + 1/30*o**6. Solve b(v) = 0.
0, 1, 2
Suppose -9*k + 14*k - 15 = 0. Let m(b) be the first derivative of 1/12*b**k + 1/16*b**4 + 0*b**2 - 4 + 0*b. Factor m(t).
t**2*(t + 1)/4
Let m(x) be the third derivative of -x**5/75 + x**4/30 - x**2. What is w in m(w) = 0?
0, 1
Let m(x) be the first derivative of -3/14*x**4 - 2/21*x**3 + 4 + 0*x - 1/21*x**6 - 6/35*x**5 + 0*x**2. Factor m(f).
-2*f**2*(f + 1)**3/7
Let r(t) = -3*t - 4 + 0*t**2 + t**2 + 0*t. Let y(k) = k**2 - 2*k - 3. Suppose 3*o = 5*o + 10. Let c(n) = o*r(n) + 6*y(n). Factor c(w).
(w + 1)*(w + 2)
Let x be (1/((-1)/2))/(-2). Let s be 6/(-3)*x*-2. Factor 3*q**4 + 2*q**4 - q**2 - s*q**4.
q**2*(q - 1)*(q + 1)
Let p(u) be the first derivative of -u**3/6 - 5*u**2/2 - 25*u/2 - 9. Determine t, given that p(t) = 0.
-5
Let w = 0 + -1. Let q = w - -3. Suppose a**2 + 0*a + 4*a + a**q = 0. Calculate a.
-2, 0
Let v(h) be the second derivative of h**5/4 + 5*h**4/4 + 5*h**3/2 + 5*h**2/2 - 7*h. Find t such that v(t) = 0.
-1
Let a(j) = 16*j**4 + j**3 + 6*j**2 + 21*j + 11. Let v(c) = 3*c**4 + c**2 + 4*c + 2. Let k(l) = -2*a(l) + 11*v(l). Factor k(g).
g*(g - 2)*(g - 1)*(g + 1)
Let m(b) be the first derivative of -49*b**3/12 - 7*b**2 - 4*b