t derivative of 2*o**3/3 - 7*o**2/5 + 4*o/5 - 11. Solve g(f) = 0 for f.
2/5, 1
Let v(u) be the third derivative of -u**8/1512 - 2*u**7/945 - u**6/540 - 7*u**2. Suppose v(z) = 0. Calculate z.
-1, 0
Let a = 1 - -2. Factor -a + 4*s + 4*s**2 + 2*s**2 - 4*s**2 - 3*s**2.
-(s - 3)*(s - 1)
Let q(f) be the first derivative of f**4/5 - 4*f**3/15 - 16. Factor q(m).
4*m**2*(m - 1)/5
Suppose 3*i - 8*i = 60. Let q = i - -16. What is b in 0 - 3/2*b**q - b + 3/2*b**2 + b**3 = 0?
-1, 0, 2/3, 1
Let r(i) = -5*i. Let h(d) = -d**2 - d + 1. Let v(n) = -5*h(n) + r(n). Suppose v(f) = 0. Calculate f.
-1, 1
Suppose 5*q - 6 - 9 = 0. Let p(v) be the first derivative of -343/4*v**4 - 8*v + 2 - 42*v**2 - 98*v**q. Factor p(m).
-(7*m + 2)**3
Let g be 64/24 + -3 + 22/12. Solve g*i**2 + 9/2*i**3 + 0 - i = 0.
-2/3, 0, 1/3
Let g(j) be the first derivative of -2*j**3/27 + 2*j**2/9 - 2*j/9 - 3. Solve g(w) = 0 for w.
1
Let g(j) be the third derivative of 0*j**4 + j**2 - 1/30*j**5 - 1/168*j**8 + 1/105*j**7 + 0*j**3 + 0 + 1/60*j**6 + 0*j. Factor g(f).
-2*f**2*(f - 1)**2*(f + 1)
Let c(u) = u**4 + u**3 + u**2 + u. Let m = 13 - 25. Let o(k) = 0*k**3 - 4 - 8*k**2 - 12*k + 2 - 12*k**3 - 14*k**4. Let a(v) = m*c(v) - o(v). Factor a(w).
2*(w - 1)**2*(w + 1)**2
Suppose 3*o + 24 - 33 = 0. Factor -3/2*b**5 - 9/2*b**4 + 3*b**2 + 3/2 - 3*b**o + 9/2*b.
-3*(b - 1)*(b + 1)**4/2
Let a(w) be the first derivative of -w**8/336 - w**7/70 - w**6/40 - w**5/60 + 3*w**2/2 - 3. Let n(l) be the second derivative of a(l). Solve n(z) = 0 for z.
-1, 0
Let q(f) be the first derivative of -3*f**5/5 + 3*f**4/4 + 3*f**3 - 15*f**2/2 + 6*f + 4. Factor q(x).
-3*(x - 1)**3*(x + 2)
Let f(n) be the third derivative of -n**8/112 - 3*n**7/35 - n**6/8 + 4*n**5/5 + 3*n**4/2 - 8*n**3 - 39*n**2. What is u in f(u) = 0?
-4, -2, 1
Let g(c) be the second derivative of c**6/600 + c**5/300 - c**2/2 - c. Let i(q) be the first derivative of g(q). Solve i(a) = 0 for a.
-1, 0
Let g(q) = 2*q**2 - 2*q - 6. Let i(v) be the first derivative of -v**3/3 + 3*v**2/2 + 5*v - 2. Let m(z) = -5*g(z) - 6*i(z). Let m(o) = 0. What is o?
-2, 0
Let o = -4 - -8. Factor 8*c**3 - 4*c**5 - o*c + 16 - 16.
-4*c*(c - 1)**2*(c + 1)**2
Let r = 39 - 37. Let f(t) be the second derivative of 0*t**r + 1/9*t**6 + 2/9*t**3 + 1/2*t**4 + 2/5*t**5 + 0 - 3*t. Factor f(h).
2*h*(h + 1)**2*(5*h + 2)/3
Factor 36 + 22*a - 47*a + 49*a + 4*a**2 + 0*a**2.
4*(a + 3)**2
Let u(n) = n**4 + n**3 - n**2 - n. Let b(x) = -4*x**4 + 36*x**3 - 91*x**2 + 99*x - 40. Let j(q) = b(q) - u(q). Factor j(p).
-5*(p - 2)**3*(p - 1)
Let x be 1 + -4 - (1 + -8). Determine t, given that 19*t**4 - 15*t**x - 8*t**3 - 3*t**2 + 7*t**2 = 0.
0, 1
Let y be ((-4)/(-6))/((-4)/(-6))*2. Factor -2/3*j + 0 - 2/3*j**4 - 2*j**y - 2*j**3.
-2*j*(j + 1)**3/3
What is h in -6/7*h**3 + 12/7 - 34/7*h + 4*h**2 = 0?
2/3, 1, 3
Let n(g) = g**2 - 2*g. Let r be n(0). Factor r + 0*p + 6/11*p**3 - 6/11*p**4 - 2/11*p**2 + 2/11*p**5.
2*p**2*(p - 1)**3/11
Let k(t) be the second derivative of t**9/15120 + t**8/3360 + t**7/2520 + t**4/6 + 2*t. Let x(d) be the third derivative of k(d). Factor x(p).
p**2*(p + 1)**2
Let d(v) be the third derivative of 5*v**8/336 - v**7/21 + v**6/24 + 7*v**2. Suppose d(i) = 0. Calculate i.
0, 1
Let a be (8/10)/((-10)/(-75)). Factor -a*v**2 + 2*v**2 - 6*v + 3*v**2 - 9.
-(v + 3)**2
Let q(p) = -p**3 + 5*p**2 + 6*p. Let a be q(6). Suppose a = 5*s + 5, -k + 2*s + 2*s + 7 = 0. Factor 2/7 - 2*z**2 - 8/7*z**k - 4/7*z.
-2*(z + 1)**2*(4*z - 1)/7
Find j such that 0*j**2 - 4*j**2 - 9 - 9*j + 1 - 3*j = 0.
-2, -1
Let -3*j**4 + 2*j**4 + 4*j**3 - 3*j**4 = 0. What is j?
0, 1
Suppose 21 + 2 = l + 4*f, -4 = -f. Suppose -l*k + 4*k = 15, 5*m + k - 20 = 0. Let 0*a + 14/9*a**m - 10/9*a**4 + 0 + 0*a**2 - 4/9*a**3 = 0. What is a?
-2/7, 0, 1
Let w(k) be the third derivative of -k**10/105840 + k**9/26460 - k**8/23520 - k**4/4 + 2*k**2. Let p(r) be the second derivative of w(r). What is g in p(g) = 0?
0, 1
Let b(u) = 2*u**2 - 20*u - 7. Let l(c) = -c**2 + c - 1. Let m(o) = b(o) + 5*l(o). What is g in m(g) = 0?
-4, -1
Let g(a) be the third derivative of 0*a**3 + 0 - 2*a**2 + 0*a + 0*a**5 - 1/48*a**4 + 1/240*a**6. Factor g(b).
b*(b - 1)*(b + 1)/2
Let v(k) be the third derivative of k**8/13440 + k**7/1680 + k**6/480 + k**5/12 - 3*k**2. Let o(h) be the third derivative of v(h). Let o(p) = 0. What is p?
-1
Let c(f) be the second derivative of f**4/4 + 2*f. Factor c(i).
3*i**2
Let p be 42/12*((-705)/(-231) - 3). Let x be (-4)/99 - (-4)/18. Factor 0 - 2/11*c + x*c**3 - p*c**2 + 2/11*c**4.
2*c*(c - 1)*(c + 1)**2/11
Let i = -4 - -6. Let m(n) be the first derivative of 0*n + 1/10*n**4 + 0*n**i - 2/25*n**5 + 4 + 2/15*n**3 - 1/15*n**6. Find l, given that m(l) = 0.
-1, 0, 1
Let y(w) be the third derivative of -w**6/180 + w**5/90 + w**4/9 - 4*w**3/9 + 3*w**2. Factor y(g).
-2*(g - 2)*(g - 1)*(g + 2)/3
Let f(b) = 4*b - 26. Let x be f(8). Find m, given that -2/3*m**4 - 14/3*m - x*m**2 - 10/3*m**3 - 4/3 = 0.
-2, -1
Let l(n) = -n**2 - 3*n + 2. Let p(v) = -3*v**2 + 7*v**2 + 9*v + 2*v**2 - 7 - 2*v**2. Let h(c) = -7*l(c) - 2*p(c). Suppose h(f) = 0. What is f?
0, 3
Factor -9*v + 22 - 33*v**2 - 3*v + 9*v**3 + 2 - 6*v.
3*(v - 4)*(v + 1)*(3*v - 2)
Let b(w) be the first derivative of -w**7/1260 - w**6/1620 + 5*w**3/3 - 5. Let j(m) be the third derivative of b(m). Suppose j(t) = 0. What is t?
-1/3, 0
Let m(f) be the third derivative of -f**6/60 + f**4/12 + f**2. Determine k, given that m(k) = 0.
-1, 0, 1
Let p(a) = -a + 2. Let w be p(0). Factor 0*i**2 - 6*i + 8*i + 2*i**3 - 3*i**w - i**2.
2*i*(i - 1)**2
Factor -15*m + 19*m**2 - 38*m**2 + 22*m**2.
3*m*(m - 5)
Let o = 29/2 - 14. Factor -o*z**2 + 0*z + 1/2.
-(z - 1)*(z + 1)/2
Let b(i) be the first derivative of -i**2/2 - 9*i - 1. Let t be b(-11). Find x, given that x - t*x - 1 + 3*x**2 - 3 + 5*x = 0.
-2, 2/3
Let u(v) be the third derivative of v**10/83160 - v**9/83160 - v**8/36960 + 5*v**4/12 + 3*v**2. Let l(x) be the second derivative of u(x). Factor l(w).
2*w**3*(w - 1)*(2*w + 1)/11
Let b be ((-720)/(-4050))/((-2)/(-10)). Factor -2/9*l**4 - b*l - 8/9*l**3 - 2/9 - 4/3*l**2.
-2*(l + 1)**4/9
Let d = 807/7 - 115. What is n in -d - 1/7*n**3 + 3/7*n + 0*n**2 = 0?
-2, 1
Let r = -126 + 128. Let -2/9*z**4 + 0*z - 4/9*z**3 - 2/9*z**r + 0 = 0. What is z?
-1, 0
Factor 2*a**2 + 4/3*a**3 + 4/3*a + 1/3 + 1/3*a**4.
(a + 1)**4/3
Let w = 15 + -12. Find i, given that 4*i**3 - i + 7 - 5 - i - 2*i**2 - 2*i**w = 0.
-1, 1
Let y be (-2 + (-48)/(-27))/(1/(-3)). Let 1/3 - 1/3*g - 1/3*g**5 - 2/3*g**2 + y*g**3 + 1/3*g**4 = 0. What is g?
-1, 1
Let t(x) = -5*x - 2. Let k be t(-2). Suppose -3*g + 21 = 5*z - k*z, g + 3*z + 9 = 0. Factor 6*y - y**3 + y**3 - 4*y**3 + y**g + 3*y**2.
-3*y*(y - 2)*(y + 1)
Factor -3*p**2 - p**2 + 3*p**2 - 4*p**2.
-5*p**2
Let n(w) = -3*w**5 - 3*w**4 - 6*w**3 + 3. Let b(r) = 3*r**5 + 2*r**4 + 7*r**3 - 4. Let o(y) = 3*b(y) + 4*n(y). Factor o(p).
-3*p**3*(p + 1)**2
Let h(l) be the third derivative of -l**5/15 - 3*l**4/4 - 4*l**3/3 + l**2. Solve h(x) = 0.
-4, -1/2
Let m(d) be the third derivative of -d**6/1800 + d**4/120 + 2*d**3/3 + 5*d**2. Let w(l) be the first derivative of m(l). Factor w(o).
-(o - 1)*(o + 1)/5
Let n(f) be the first derivative of f**3 + 0*f**4 + 0*f**2 - 9/20*f**5 + 0*f + 4 + 1/8*f**6. Solve n(b) = 0 for b.
-1, 0, 2
Suppose -5*x = -3*p + 55, -2*p = 5*x + 41 - 11. Let i be (1 + -1)/(x/(-4)). Factor i + 1/2*v**2 + 1/2*v.
v*(v + 1)/2
Find o, given that -24/5*o**4 - 84/5*o**2 + 3/5*o**5 + 36/5*o + 0 + 69/5*o**3 = 0.
0, 1, 2, 3
Suppose -5*m = -u - 2 - 3, 3*u = 15. Suppose m*j - 8 = -2*t, -5*t + 3*j = -4 - 24. Solve 0*r + 2/3*r**2 - 4/3*r**4 - 1/3*r**3 + r**t + 0 = 0 for r.
-2/3, 0, 1
Let u(r) = r + 4. Let t be u(0). Let s be (16/6)/4*3. Factor t*m**2 + 2*m**s + 14*m + 4 + 4*m**2.
2*(m + 1)*(5*m + 2)
Let c(x) = -2*x**5 + 2*x**4 - 4*x**3 - 4*x**2 - 4*x. Let f(m) = -3*m**5 + 3*m**4 - 5*m**3 - 5*m**2 - 5*m. Let s(z) = 5*c(z) - 4*f(z). Factor s(g).
2*g**4*(g - 1)
Let v(k) be the second derivative of k**3 + 3/4*k**4 - 1/10*k**6 + 0 + 0*k**5 + 2*k + 0*k**2. What is x in v(x) = 0?
-1, 0, 2
Factor -21*j**2 - 16*j - 5 + 3 - 9*j**3 - 2.
-(j + 1)*(3*j + 2)**2
Let l(p) be the third derivative of -p**5/180 - p**4/24 - p**3/9 - 5*p**2. Factor l(w).
-(w + 1)*(w + 2)/3
Suppose -x + 3 + 1 = 0. Factor -1 - b + 6*b**2 + 4*b + 