- 1 - 2*o**2.
5*(o - 1)*(o + 1)
Let g(c) be the second derivative of 7*c**6/60 + 9*c**5/40 - 5*c**4/24 - 3*c**3/4 - c**2/2 - 27*c. Find d such that g(d) = 0.
-1, -2/7, 1
Let i(w) be the third derivative of -1/40*w**6 + 0*w + 1/8*w**4 + 3*w**2 + 1/60*w**5 + 0 - 1/6*w**3. Factor i(h).
-(h - 1)*(h + 1)*(3*h - 1)
Let x(a) be the third derivative of 0 + 1/315*a**7 - 1/90*a**5 + 0*a**3 - 1/18*a**4 - 1/168*a**8 + 1/36*a**6 + 0*a + a**2. Determine w so that x(w) = 0.
-1, -2/3, 0, 1
Let d be (6 - 4) + 2/1. Find n, given that -2/5*n**2 + 6/5*n**5 - 6/5*n**3 + 2/5*n**d + 0 + 0*n = 0.
-1, -1/3, 0, 1
Let t = -2 + 11. Factor 100*a**3 - 12 - 36*a - t*a**2 + 16 + 69*a**2.
4*(a + 1)*(5*a - 1)**2
Let s(h) be the third derivative of h**10/151200 - h**8/33600 + h**4/6 - 8*h**2. Let i(a) be the second derivative of s(a). What is r in i(r) = 0?
-1, 0, 1
Let y(m) be the first derivative of m**3/7 - 9*m**2/14 + 6*m/7 - 16. Factor y(l).
3*(l - 2)*(l - 1)/7
Let 0 + 1/7*s + 2/7*s**2 + 1/7*s**3 = 0. What is s?
-1, 0
Let a be (((-1)/(-4))/1)/((-2)/(-16)). Factor 1/2*c**3 - c + 1/2*c**a + 0.
c*(c - 1)*(c + 2)/2
Let j = 16/175 - -586/5075. Let h = 47/87 - j. Find c such that -2/3*c + 1/3 + h*c**2 = 0.
1
Let n(b) be the first derivative of 4*b**3/33 - 3*b**2/11 + 2*b/11 + 4. Factor n(o).
2*(o - 1)*(2*o - 1)/11
Let -2/11 + 0*i + 2/11*i**2 = 0. What is i?
-1, 1
Let g(c) be the second derivative of -c**5/30 + c**4/18 + 2*c**3/9 + 10*c. Factor g(i).
-2*i*(i - 2)*(i + 1)/3
Let -3/4*v**2 - 1 - 13/4*v = 0. Calculate v.
-4, -1/3
Suppose -1/2*f**4 + 1/2*f**3 + 1/2*f**2 - 1/2*f + 0 = 0. What is f?
-1, 0, 1
Determine q so that 28*q - 3*q**2 - 18*q - 2*q**2 = 0.
0, 2
Let h(n) be the third derivative of n**9/7560 - n**7/1260 + n**4/24 - n**2. Let y(w) be the second derivative of h(w). Factor y(f).
2*f**2*(f - 1)*(f + 1)
Suppose 1/4*j**4 + 9/4*j**2 + 0*j + 0 + 3/2*j**3 = 0. What is j?
-3, 0
Let b(t) = t**5 - t**4 + t**2 - t - 1. Let s(g) = -12*g**5 + 6*g**4 + 8*g**3 - 7*g**2 + 3*g + 3. Let o(d) = -3*b(d) - s(d). What is p in o(p) = 0?
-1, 0, 2/3
Let n(u) be the third derivative of 0 + 4*u**2 + 0*u - 1/24*u**4 + 1/240*u**6 + 1/120*u**5 + 0*u**3. Factor n(r).
r*(r - 1)*(r + 2)/2
Let g(j) be the third derivative of j**6/200 - 9*j**5/100 + 3*j**4/8 + 5*j**3/2 + 13*j**2. Find p, given that g(p) = 0.
-1, 5
What is u in 3*u - u**3 + 0 + 3*u**2 + 1 - 15*u + 9*u = 0?
1
Suppose 6 = -38*c + 41*c. Suppose 4/11*y + 0 - 2/11*y**c = 0. Calculate y.
0, 2
Let p = 334 - 515/2. Let i = p + -72. Solve -i*x**3 + 2*x - 1/2*x**5 - x**2 - 11/4*x**4 + 0 = 0 for x.
-2, 0, 1/2
Let h(u) = u**2 - 22*u - 44. Let l be h(24). Factor 10/3*f**5 - 4/3*f**3 - 2*f**l + 0 + 0*f**2 + 0*f.
2*f**3*(f - 1)*(5*f + 2)/3
Let u(v) be the second derivative of -1/9*v**3 - 1/6*v**2 - 1/36*v**4 + 4*v + 0. Factor u(b).
-(b + 1)**2/3
Let j(o) be the first derivative of -15*o**3 - 145*o**2/2 - 30*o - 4. Solve j(r) = 0.
-3, -2/9
Find w such that 0 - 1/7*w - 1/7*w**2 = 0.
-1, 0
Let d(m) be the second derivative of m**7/63 + 5*m. Let d(l) = 0. What is l?
0
Suppose 4 = -9*a + 4. Let p(d) be the third derivative of a*d**3 - 1/12*d**6 - 1/6*d**4 + 0 + 3*d**2 - 7/30*d**5 + 0*d. Factor p(l).
-2*l*(l + 1)*(5*l + 2)
Let k(y) be the third derivative of -y**6/60 + y**5/10 - y**4/4 + y**3/3 + 2*y**2. Solve k(p) = 0 for p.
1
Let g(y) = -20*y**3 + 15*y**2 - 5*y + 5. Let i(v) = -v**4 + 19*v**3 - 15*v**2 + 5*v - 4. Let u(o) = 4*g(o) + 5*i(o). Suppose u(r) = 0. Calculate r.
0, 1
Let x = 219/2 - 109. Solve x*w**2 + 1/2*w - 1 = 0 for w.
-2, 1
Let y(s) = -s**3 + 2*s**2 + 9*s - 2. Let i be y(4). Solve -i*g**4 - 5/2*g + 5/2*g**3 + 3/2*g**2 + 1/2 = 0.
-1, 1/4, 1
Let h be (94 - 90) + (-2)/6 + -1. Suppose 1/3*v**4 + h*v**2 + 0 + 5/3*v**3 + 4/3*v = 0. What is v?
-2, -1, 0
Let b = 227/981 + -1/109. Suppose -2/9*u - 2/9*u**4 + b*u**3 + 0 + 2/9*u**2 = 0. Calculate u.
-1, 0, 1
Let k(t) = -t**3 + 6*t**2 - 6*t + 6. Let z be k(5). Find v, given that 3*v**2 - z - 2*v**2 - v**4 + v**2 = 0.
-1, 1
Suppose x - 16 = -3*c + 3, -2*x + 2*c - 2 = 0. Find j, given that 2*j**4 - j**2 + 3*j**3 - x*j**4 + j**4 + 2 - 3*j = 0.
-1, 1, 2
Find h, given that 0 + 2/9*h**2 + 2/9*h**3 - 2/9*h**5 + 0*h - 2/9*h**4 = 0.
-1, 0, 1
Let x(w) be the first derivative of -w**6/105 - w**5/35 - w**4/42 - 2*w - 1. Let l(y) be the first derivative of x(y). Let l(s) = 0. Calculate s.
-1, 0
Let u(c) be the second derivative of -2/21*c**7 - 2/3*c**3 + 2/3*c**4 - 2/15*c**6 - 2*c**2 - 2*c + 2/5*c**5 + 0. What is m in u(m) = 0?
-1, 1
Suppose 5*g + 11 - 21 = 0. Factor 0 - s - g - 2*s**3 - 5*s - 6*s**2.
-2*(s + 1)**3
Let o(s) = s**4 - 7*s**3 - 3*s**2 + 5*s - 8. Let q(r) = -r**3 - 1. Let d(p) = -o(p) + 6*q(p). Factor d(y).
-(y - 1)**3*(y + 2)
Let g = 1/772 + 79/13510. Let n(x) be the third derivative of g*x**6 - 1/1176*x**8 + 4*x**2 + 0 + 0*x**4 + 0*x**7 + 0*x**3 + 0*x + 1/105*x**5. Solve n(f) = 0.
-1, 0, 2
Let b(a) be the third derivative of a**7/6 - 11*a**6/6 + 8*a**5 - 50*a**4/3 + 40*a**3/3 - 19*a**2 - 2. Factor b(m).
5*(m - 2)**3*(7*m - 2)
Let v(a) = a**2 + 12*a + 8. Let d(l) = -l**2. Let j(t) = 3*d(t) - v(t). Factor j(r).
-4*(r + 1)*(r + 2)
Let h(k) = -k**3 + 6*k**2 + 2*k - 29. Let w be h(5). Let s(o) be the first derivative of -2*o**3 + 9/4*o**4 + w*o + 2 - 9/2*o**2. What is x in s(x) = 0?
-1, 2/3, 1
Factor 8*k**3 + 16*k**2 - 1 - 1/2*k.
(k + 2)*(4*k - 1)*(4*k + 1)/2
Suppose -7 = 2*p - 2*d - 9, 23 = 5*p + d. What is t in -4/7 + 0*t**p + 8/7*t**3 - 2/7*t**5 + 4/7*t**2 - 6/7*t = 0?
-1, 1, 2
Determine x, given that 4/3 - 32/3*x + 64/3*x**2 = 0.
1/4
Factor 0 + 2/3*b**3 + 4/3*b + 2*b**2.
2*b*(b + 1)*(b + 2)/3
Let m = 16 + -11. Suppose 0*d = m*d. Find l, given that 2*l**3 + d*l**3 + l + 9*l + 8*l**2 + 4 = 0.
-2, -1
Let a(o) be the second derivative of 0 + 0*o**4 + 0*o**2 + 4*o + 0*o**3 - 1/40*o**5. Determine p so that a(p) = 0.
0
Let f be (1 + 0)*1 - -1. Suppose -12 = -h - 2*d, h - 3*h - d = -12. Determine o, given that -o - f*o**2 + h - 2*o + 5*o + 0 = 0.
-1, 2
Let k(d) be the second derivative of 2*d**2 + d**3 - 2*d + 0 + 0*d**4 - 1/10*d**5. Factor k(a).
-2*(a - 2)*(a + 1)**2
Let p(v) = v**4 - v**3 - v**2 + v. Let w(c) = 32*c**4 - 41*c**3 - 11*c**2 + 17*c + 3. Let t(o) = 5*p(o) - w(o). Factor t(r).
-3*(r - 1)**2*(3*r + 1)**2
Suppose -3 + 6 = -3*g. Let f be 1*(-2)/(-1 + 0). Let h(z) = z**5 - z**3 + z**2. Let s(q) = 4*q**5 - 6*q**4 + 4*q**3. Let d(a) = f*h(a) + g*s(a). Factor d(m).
-2*m**2*(m - 1)**3
Find w, given that -4/7*w**2 - 64/7 - 96/7*w - 4/7*w**4 + 24/7*w**3 = 0.
-1, 4
Let q = 24 + -28. Let l be -1 + 2 + q/(-12). Factor 2*x - l - 2/3*x**2.
-2*(x - 2)*(x - 1)/3
Factor 10/7*f**2 - 2*f + 4/7.
2*(f - 1)*(5*f - 2)/7
Let o(x) be the second derivative of x**6/300 - x**5/150 - x**4/60 + x**3/15 + 2*x**2 + 5*x. Let j(z) be the first derivative of o(z). Solve j(w) = 0 for w.
-1, 1
Let h(v) = v**3 + 5*v**2 + 2*v - 4. Let f(b) = b - 12. Let u be f(8). Let z be h(u). Find m such that -m**2 + 4*m**z + 2*m**5 + 2*m - 4*m - 3*m**2 = 0.
-1, 0, 1
Let t(n) be the third derivative of 5*n**2 + 0*n**3 - 1/75*n**7 + 0 + 0*n**4 + 1/75*n**5 + 1/60*n**6 + 0*n. Let t(k) = 0. What is k?
-2/7, 0, 1
Let o(w) be the first derivative of w**4/8 - w**3/6 - w**2/2 - 2. Factor o(t).
t*(t - 2)*(t + 1)/2
Let u(a) = -a. Let t(c) = -2*c**2 - 8*c. Let l(g) = -t(g) + 4*u(g). Suppose l(m) = 0. What is m?
-2, 0
Let b(o) be the first derivative of -1/3*o**3 + 0*o**4 - 1 + 1/2*o + 0*o**2 + 1/10*o**5. Suppose b(g) = 0. Calculate g.
-1, 1
Suppose 5*l - 1 = -4*f - 9, 0 = 5*l + 5*f + 10. Suppose 0 = x - l*x. Find h such that x - 1/2*h**2 - 1/2*h = 0.
-1, 0
Let w = -1118 + 117391/105. Let k(j) be the third derivative of 2/21*j**3 - 1/420*j**6 + 0 + 0*j - w*j**5 + 1/84*j**4 + 4*j**2. Find d such that k(d) = 0.
-2, -1, 1
Let m(o) be the third derivative of -4*o**2 - 1/10*o**5 + 1/24*o**4 + 0*o**3 + 3/40*o**6 - 2/105*o**7 + 0*o + 0. Let m(b) = 0. What is b?
0, 1/4, 1
Let d(a) = a - 1. Let c(v) = 4*v**3 + 8*v**2 - 6*v - 6. Let t(w) = -c(w) - 2*d(w). Factor t(f).
-4*(f - 1)*(f + 1)*(f + 2)
Suppose 2*y + 10 = 4*v, 8*v - 5*v - 8 = y. Factor 0*t**2 + 0 + 2/7*t**5 - 4/7*t**4 + 2/7*t**v + 0*t.
2*t**3*(t - 1)**2/7
Factor 0 + 2/17*p**4 + 0*p**2 + 2/17*p**3 + 0*p.
2*p**3*(p + 1)/17
Let n = 5/2 - 3. Let k = n - -3/4. Factor k*y + 1/4*y**2 - 1/4 - 1/4*y**3.
-(y - 1)**2*(