Let k(f) = w*v(f) - 6*g(f). Suppose k(h) = 0. What is h?
-1
Let h(v) = -v**2 + 0*v**2 + 4*v**3 - 3*v**3 - v. Let r(i) = -11*i**3 + 6*i**2 + 4*i. Let u = 2 - 1. Let s(k) = u*r(k) + 4*h(k). Factor s(p).
-p**2*(7*p - 2)
Let r be 5/2*(-24)/(-15). Suppose -2*x + 19 = -5*q + 5, -r*x + 6 = q. Suppose 0*f**2 + 0*f**2 - x*f**3 = 0. Calculate f.
0
Let m(b) be the first derivative of 9/14*b**4 - 18/35*b**5 + 0*b**2 - 1 + 0*b - 4/21*b**3. Factor m(u).
-2*u**2*(3*u - 2)*(3*u - 1)/7
Suppose 8*q = -5*d + 4*q + 23, 0 = -4*q + 8. Suppose 0*p = 5*p - 10. Factor -4*i**d + 12*i**3 - p*i + 2 - 6*i**3 - 2*i**2.
2*(i - 1)**2*(i + 1)
Let t = -2792/11 + 254. Suppose -6/11*a**4 - 2/11*a**2 + 0*a + 6/11*a**3 + t*a**5 + 0 = 0. Calculate a.
0, 1
Let u(r) be the third derivative of -r**8/16800 + r**7/2100 - r**6/600 + r**5/300 - r**4/8 + r**2. Let q(d) be the second derivative of u(d). Factor q(l).
-2*(l - 1)**3/5
Suppose -c = -3*s, 7 - 3 = s + c. Let u be (-14)/(-6) + s/(-3). Factor 8/3*f - 8/3 - 2/3*f**u.
-2*(f - 2)**2/3
Factor 6/5*l**2 + 2/5*l**3 + 0*l - 8/5.
2*(l - 1)*(l + 2)**2/5
Let t(b) be the first derivative of b**6/18 + 2*b**5/15 - b**4/12 - 2*b**3/9 - 9. What is d in t(d) = 0?
-2, -1, 0, 1
Let f(y) be the second derivative of 5*y**4/12 - 5*y**3/3 + 28*y. Determine t, given that f(t) = 0.
0, 2
Factor -277*d + 4*d**5 - 4*d**4 + 309*d + 16 - 20*d**3 + 0*d**4 + 4*d**2.
4*(d - 2)**2*(d + 1)**3
Let i be 78/45 + 2/(-5). Suppose 0 = 4*n - x - 6, -n = 4*n - 2*x - 6. Factor -i + n*u - 2/3*u**2.
-2*(u - 2)*(u - 1)/3
Let x(d) be the third derivative of -d**5/300 + d**4/60 - 10*d**2. Factor x(r).
-r*(r - 2)/5
Let f = 46366/165 - 281. Let q = f - -73/55. Factor q*v - 2/3*v**2 - 2/3.
-2*(v - 1)**2/3
Let j be (0 - -2 - 1)*2. Let n = 7 - 4. What is f in 0*f**j + 0*f + 1/3*f**n + 0 = 0?
0
Let m be 1/4 + 8/(-32). Find g such that 2/11*g + m + 4/11*g**2 + 2/11*g**3 = 0.
-1, 0
Factor 10*a**2 + 3*a - 5*a**2 + 7*a.
5*a*(a + 2)
Suppose -5*a - 18 = -2*a. Let h(t) = 4*t**2 - 6*t + 12. Let n(w) = w**2 + 1. Let j(z) = a*n(z) + 2*h(z). Determine i so that j(i) = 0.
3
Let j(f) be the third derivative of 0 - 1/1575*f**7 + 9*f**2 - 7/180*f**4 + 0*f - 2/45*f**3 - 1/180*f**6 - 1/50*f**5. Let j(w) = 0. Calculate w.
-2, -1
Let m(o) be the third derivative of -o**8/168 - 2*o**7/35 - 13*o**6/60 - 2*o**5/5 - o**4/3 + o**2. Find j, given that m(j) = 0.
-2, -1, 0
Let p be (6/4)/((-1)/2). Let m be p/(-12) + (-1)/4. Factor -2/9*f - 4/3*f**3 + 8/9*f**4 - 2/9*f**5 + m + 8/9*f**2.
-2*f*(f - 1)**4/9
Let n(c) be the first derivative of 5*c**7/56 - 3*c**6/10 + 27*c**5/80 - c**4/8 - 5*c - 2. Let p(k) be the first derivative of n(k). Factor p(d).
3*d**2*(d - 1)**2*(5*d - 2)/4
Suppose 3*i - 39 = -5*h + 21, -3*i + 5*h = -30. Let l be -3*(-23)/i + 1. Factor 12/5*b**4 - 2/5*b**5 - 18/5*b + 32/5*b**2 + 4/5 - l*b**3.
-2*(b - 2)*(b - 1)**4/5
Let g(z) be the second derivative of -z**5/60 - z**4/2 - 6*z**3 - 36*z**2 - 15*z. Factor g(l).
-(l + 6)**3/3
Suppose 0*z + 4 = 2*z. Determine o, given that 4*o**2 - o**3 + z*o + 3*o**3 + 0*o**3 = 0.
-1, 0
Let v(u) = 10*u**5 + 5*u**4 - 15*u**3 - 10*u**2 - 5*u. Let s(h) = h**5 + h**4 + h. Let w(n) = 5*s(n) + v(n). Find m such that w(m) = 0.
-1, -2/3, 0, 1
Let k(y) = -y**3 + y**2 - y - 1. Let d(i) = 3*i**3 - 30*i**2 + 24*i - 15. Suppose -5*a = -5*t + 50, -3*t + 9 + 12 = -2*a. Let n(x) = a*k(x) + d(x). Factor n(c).
3*(c - 2)*(c - 1)*(4*c - 1)
Let r(f) be the third derivative of -f**5/300 + f**4/60 - f**3/30 - 11*f**2. Factor r(l).
-(l - 1)**2/5
Let l(o) be the first derivative of -2*o**5/5 + o**4 - 2*o**2 + 2*o + 4. Factor l(j).
-2*(j - 1)**3*(j + 1)
Let s(t) = -t**3 - 2*t**2 - 4*t + 6. Let m(n) = 16*n**2 + n. Let l be m(1). Let a(z) = 3*z**3 + 5*z**2 + 12*z - 17. Let f(r) = l*s(r) + 6*a(r). Factor f(b).
b*(b - 2)**2
Let u(g) be the second derivative of -g**7/14 - g**6/6 - g**5/10 + 3*g. Factor u(t).
-t**3*(t + 1)*(3*t + 2)
Let l(d) be the first derivative of 2 + 0*d - 1/14*d**4 + 0*d**2 + 2/35*d**5 - 2/21*d**3 + 1/21*d**6. Solve l(o) = 0.
-1, 0, 1
Let t(j) be the third derivative of j**5/20 - j**3/2 - 8*j**2. What is s in t(s) = 0?
-1, 1
Let u(y) be the third derivative of 6*y**2 + 0*y**4 + 1/260*y**6 + 0 + 1/455*y**7 + 1/390*y**5 + 0*y + 0*y**3 + 1/2184*y**8. What is q in u(q) = 0?
-1, 0
Let z be (8/(-36))/((-2)/104). Let p = -34/3 + z. Solve -2/9*h**3 + 0*h + p*h**2 - 2/9*h**4 + 0 + 2/9*h**5 = 0 for h.
-1, 0, 1
Suppose -77 - 28 = 4*q - r, -5*r + 83 = -3*q. Let o = q - -26. Determine d so that -2/5*d - 2/5*d**2 + o = 0.
-1, 0
Suppose -2*x = -3*v - 16, -5*v - 14 = 3*x - 0*v. What is a in 1/3*a**x - 1/6*a**3 - 1/6*a + 0 = 0?
0, 1
Let u(g) be the second derivative of g**5/80 + 7*g**4/48 + 2*g**3/3 + 3*g**2/2 + 50*g. Factor u(i).
(i + 2)**2*(i + 3)/4
Let y(p) be the third derivative of -1/12*p**4 + 0 + 2*p**2 - 1/60*p**5 + 0*p**3 + 0*p. Factor y(l).
-l*(l + 2)
Let l(f) be the second derivative of -f**8/336 - f**7/105 + f**5/30 + f**4/24 + f**2 - 2*f. Let r(o) be the first derivative of l(o). Factor r(z).
-z*(z - 1)*(z + 1)**3
Factor -2/7*q**2 + 0*q - 1/7*q**3 + 1/7*q**4 + 0.
q**2*(q - 2)*(q + 1)/7
Let l(i) be the third derivative of i**6/720 - i**4/48 + 2*i**3/3 + i**2. Let u(m) be the first derivative of l(m). Factor u(p).
(p - 1)*(p + 1)/2
Let d(z) be the third derivative of -z**5/270 + z**3/27 + 11*z**2. Factor d(y).
-2*(y - 1)*(y + 1)/9
Let d(t) be the first derivative of 2/15*t**5 + 1/9*t**6 + 1/3*t**2 + 4 - 1/3*t**4 - 4/9*t**3 + 2/3*t. Suppose d(y) = 0. What is y?
-1, 1
Let j = -13 - -11. Let r be -1 - (1 + -2 + j). Factor -r*q**3 + 1/2*q + 5/4*q**4 + 1/4*q**2 + 0.
q*(q - 1)**2*(5*q + 2)/4
Let h be 42/72 + (-1)/4. Let z(q) be the third derivative of -1/12*q**4 + 0 - q**2 + 1/60*q**6 + 0*q + h*q**3 - 1/30*q**5. Factor z(j).
2*(j - 1)**2*(j + 1)
Let k(s) be the second derivative of -2/15*s**4 - 1/3*s**3 - 2/5*s**2 - 4*s + 0 - 1/50*s**5. What is q in k(q) = 0?
-2, -1
Let m(u) = u**4 + 11*u**3 + 2*u - 2. Let g(p) = 2*p**4 + 21*p**3 + p**2 + 3*p - 5. Let y(f) = -6*g(f) + 11*m(f). Let y(s) = 0. What is s?
-2, 1
Suppose 3/5*q**3 + 1/10*q + 0 - 2/5*q**2 + 1/10*q**5 - 2/5*q**4 = 0. Calculate q.
0, 1
Let o be 26/12 - (-1)/(-6). Suppose -1 - 8*u - 1 - 4*u**o + 1 - 3 = 0. What is u?
-1
Factor 0 + 4/3*w**2 - 8/3*w**3 - 4/3*w**4 + 8/3*w.
-4*w*(w - 1)*(w + 1)*(w + 2)/3
Determine d so that 7/2*d**2 - 7/6*d**4 + 4/3*d + 1/3*d**3 - 2/3 = 0.
-1, 2/7, 2
Let v(m) be the first derivative of m**5/10 - m**4/3 + m**3/3 - 5*m**2/2 - 2. Let z(n) be the second derivative of v(n). Factor z(p).
2*(p - 1)*(3*p - 1)
Let v(u) = -u**2 + u. Let j be v(0). Suppose -5*d - 1 + 16 = j. Factor -1/4*g**d - 3/4*g**2 - 1/4 - 3/4*g.
-(g + 1)**3/4
Factor 150*n**3 - 26*n**4 + 8*n**5 - 120*n**3 + 0*n**2 - 14*n**2 + 2*n.
2*n*(n - 1)**3*(4*n - 1)
Let n(d) be the third derivative of d**8/20160 + d**5/12 + d**2. Let l(f) be the third derivative of n(f). Factor l(r).
r**2
Let u(x) be the first derivative of -x**6/39 + 4*x**5/65 + 3*x**4/26 - 16*x**3/39 + 4*x**2/13 - 7. Let u(i) = 0. What is i?
-2, 0, 1, 2
Suppose -24*x**3 - 3*x + 18*x**5 + 0 + 39/2*x**2 - 57/2*x**4 = 0. Calculate x.
-1, 0, 1/4, 1/3, 2
Factor 8/15*z - 2/15*z**2 - 8/15.
-2*(z - 2)**2/15
Let p be 2/3 + 14/(-21). Let s(a) be the first derivative of 0*a**3 + 3/10*a**4 + 0*a + 21/25*a**5 - 2 + p*a**2. Factor s(d).
3*d**3*(7*d + 2)/5
Let m(q) be the first derivative of 0*q + 2/27*q**3 + 3 + 0*q**2. Find x such that m(x) = 0.
0
Factor -3 + 5/2*f + f**2 - 1/2*f**3.
-(f - 3)*(f - 1)*(f + 2)/2
Let f be (1/4)/(8/592). Let x = 19 - f. Factor 1/2*s**3 + 1/2*s**2 - x*s - 1/2.
(s - 1)*(s + 1)**2/2
Suppose w = -2*v + 5, 0 = -0*w - 2*w + v. Suppose -m + 3 = -w. What is x in x**5 - 3*x**m + 2*x**2 + 3 - 3*x + 2*x**3 - 2 + 3 - 3 = 0?
-1, 1
Let d(i) = -i**3 + 7*i**2 - 4*i - 8. Let f be d(6). Factor -1 + 6*t - 1 - f*t**2 + t**2 - 1.
-3*(t - 1)**2
Let x = 92429/3924 - -1390/327. Let r = 266/9 - x. Find n such that -1/2 - 5/4*n + r*n**2 = 0.
-2/7, 1
Let z be (-3)/((-78)/(-24) + -4). Suppose 8/9 + 2/9*v**2 - 10/9*v**z + 2/9*v**5 - 16/9*v + 14/9*v**3 = 0. What is v?
-1, 1, 2
Let t = 2 + -2. Suppose 3*k + q - 7 = 0, -4*k - 4*q - 5 = -3*k. Factor 2 + 0 + t*i + i**2 - k*i.
(i - 2)*(i - 1)
Let y(d) be the third derivative of -d**4/6 - 4*d**2. Let b be y(-2). What is g in -2*g + b*g - 6 - 9*