 0 - 2/7*r + 24/7*r**3 + 2/7*r**2 - 32/7*r**5 + 8/7*r**d = 0.
-1/2, 0, 1/4, 1
Let h = 218 - 3487/16. Let v = h + 29/48. Factor v*f - 2/9*f**2 - 4/9.
-2*(f - 2)*(f - 1)/9
Let k be 1/1 + (-3 - -4). Let y be 2/k*(4 - 1). Let 2*t - 4*t**5 - 9*t**2 - 3*t**5 + 0*t**y + 9*t**4 + 5*t**3 = 0. Calculate t.
-1, 0, 2/7, 1
Suppose 3*g + 2 = -0*g - o, 5*o = 5*g - 10. Let l be -2 + (2 - (-2 - g)). Determine n, given that 8*n + 6 + 1 + l*n**2 + 1 = 0.
-2
Factor 4*i**2 - 16*i**3 + i**3 - 7 - i**3 + 3 + 16*i.
-4*(i - 1)*(i + 1)*(4*i - 1)
Let u = -25 + 32. Let f(t) be the third derivative of 0*t**3 + 0 + 0*t**4 - 1/20*t**6 + 1/35*t**u + 0*t + 1/30*t**5 - 1/168*t**8 - t**2. Solve f(n) = 0 for n.
0, 1
Let p be (4/(-2))/(-1) + -1. Factor j**2 - p - 1/2*j**5 + 2*j**3 + 0*j**4 - 3/2*j.
-(j - 2)*(j - 1)*(j + 1)**3/2
Let v(g) be the third derivative of -2*g**7/315 - g**6/45 - g**5/45 + 5*g**2. Find r, given that v(r) = 0.
-1, 0
Let i(y) = -y**3 + 7*y**2 + 2*y - 9. Let j be i(6). Suppose 3*h + 3 = 2*n + n, 4*n = -3*h + j. Let -98*w**3 - 2*w - 7*w**2 + 63*w**2 - n*w = 0. Calculate w.
0, 2/7
Find w such that 2*w**4 - 3*w**4 - w**3 - 18*w**2 + 19*w**2 + w = 0.
-1, 0, 1
Let j = 4 + -1. Let d be ((-4)/j)/((-4)/6). Find b such that -b + 2*b**4 - 3*b**3 - 10*b**4 + 5*b**d - b**4 = 0.
-1, 0, 1/3
Suppose 21 = -g - 5*h, -2*g + 3*g - 5*h - 29 = 0. Factor -1/2*k**2 + k + 0 + 1/2*k**g - k**3.
k*(k - 2)*(k - 1)*(k + 1)/2
Let o(k) be the third derivative of k**8/560 - k**3/3 - 4*k**2. Let c(n) be the first derivative of o(n). Determine z, given that c(z) = 0.
0
Factor 0 + 0*i**3 + 0*i - 1/4*i**4 + 1/4*i**2.
-i**2*(i - 1)*(i + 1)/4
Let u(z) be the second derivative of 1/18*z**4 + 1/90*z**5 + 0*z**2 + 0 + 2/27*z**3 - 2*z. Determine h, given that u(h) = 0.
-2, -1, 0
What is h in -9*h**2 - 8*h + 5*h**4 + 2*h**2 - 25*h**3 - 27*h + 10 + 52*h**2 = 0?
1, 2
Suppose 5*d + 20 = 9*d. What is t in 4*t**4 - 10*t**4 - 16*t**5 + 37*t**5 - 18*t**d = 0?
0, 2
Let v(x) = 13*x**2 + 15*x + 2. Let q(i) = 4*i**2 + 5*i + 1. Suppose 1 = c - 2. Let b(w) = c*v(w) - 8*q(w). Solve b(t) = 0 for t.
-1, 2/7
Let u(c) be the first derivative of -1/330*c**5 + 1/3*c**3 - 1 + 1/1980*c**6 + 0*c**2 + 0*c + 1/132*c**4. Let l(k) be the third derivative of u(k). Factor l(v).
2*(v - 1)**2/11
Let a be 2/(-2)*(2 + -2). Let d = a + 4. Solve j**4 - j + 0*j**2 + 3*j**2 + j**3 - d*j**3 = 0.
0, 1
Let p(d) be the first derivative of -d**6/10 + 2*d**5/5 - 7*d**4/12 + d**3/3 - 2*d - 2. Let v(l) be the first derivative of p(l). Let v(r) = 0. Calculate r.
0, 2/3, 1
Suppose 4*g + h - 9 + 1 = 0, -h + 5 = 3*g. Determine b, given that 9 + 0*b**2 + 6*b + 15*b**2 + 15*b + 3*b**g = 0.
-3, -1
Let 702*o**5 + 7*o**3 - 707*o**5 - 20 - 5*o**4 + 25*o**2 + 18*o**3 - 20*o = 0. Calculate o.
-2, -1, 1, 2
Let o(a) be the second derivative of -8*a**7/105 - 2*a**6/15 + 7*a**5/25 + 2*a**4/15 - 14*a - 2. Suppose o(c) = 0. What is c?
-2, -1/4, 0, 1
Let h(d) be the second derivative of -d**4/10 + 2*d**3/15 + d**2/5 - d. Let h(u) = 0. Calculate u.
-1/3, 1
Factor 30*q**3 - 15*q**4 - 10*q**4 - 4 + 0 - 10*q - 2*q + 11*q**2.
-(q - 1)**2*(5*q + 2)**2
Let h(b) be the first derivative of -6/5*b**5 - 1/2*b**6 + 9/4*b**4 + 4*b**3 - 6*b**2 + 0*b + 9. Factor h(y).
-3*y*(y - 1)**2*(y + 2)**2
Let a be (0 + -2)/(12/(-10)). Suppose -20 + 6 = -7*o. Factor -1/3 + 1/3*d + a*d**o + d**3.
(d + 1)**2*(3*d - 1)/3
Let b = -6 - -19. Find x such that -8 - 16*x**2 + 4*x**3 + 17*x + b*x - 10*x = 0.
1, 2
Let a be ((-10)/6)/((-1)/3). Suppose a*q + 4 - 7 = 3*k, 4*q - 4*k - 4 = 0. Find u, given that 0*u + 2/7*u**2 + q*u**3 + 0 - 2/7*u**4 = 0.
-1, 0, 1
Let q be (11/(1540/(-16)))/((-4)/10). Suppose 2/7*w**3 - q*w + 0*w**2 + 0 = 0. What is w?
-1, 0, 1
Suppose -2*k + 5*r + 4 = r, -6 = -2*k + 3*r. Let q(j) = j**3 - 6*j**2 - 6. Let w(b) = b**2 + 1. Let z(a) = k*w(a) + q(a). Factor z(m).
m**3
Let m(i) be the first derivative of -1/20*i**4 - 2 - 1/5*i**3 - 3/10*i**2 - 1/5*i. Factor m(x).
-(x + 1)**3/5
Let y(a) = 8*a**2 + 12*a - 3. Let n(x) = -4*x**2 - 6*x + 1. Let o(z) = -5*n(z) - 3*y(z). Factor o(w).
-2*(w + 2)*(2*w - 1)
Let h be ((-1)/(-2))/((-5)/(-10)). Let k be ((-2)/7)/(h/(-7)). Solve v + 2*v**2 + 1 - 5*v**k + v**2 = 0.
-1/2, 1
Suppose -4*w - 4*a = 8, 2 + 4 = -w - 2*a. Suppose 4*f**2 - 3*f**3 - 5*f**4 - 2*f**w + 0*f**2 = 0. What is f?
-1, 0, 2/5
Let x(z) = -z**2 - z - 3. Let j(u) = 2*u**2 + 2*u + 8. Suppose 3*a - 3 - 6 = 0. Suppose 0 = i - a. Let q(v) = i*j(v) + 8*x(v). Determine y, given that q(y) = 0.
-1, 0
Let y = 30 + -28. Factor -6*f**2 - 4*f**2 - 10*f**3 + 6*f**y - 6*f**4.
-2*f**2*(f + 1)*(3*f + 2)
Let p(a) be the second derivative of 0*a**3 + 1/10*a**6 + 0*a**2 - 9/20*a**5 + 1/2*a**4 - 3*a + 0. Factor p(n).
3*n**2*(n - 2)*(n - 1)
Let w(y) be the first derivative of -2/27*y**3 + 1 + 0*y + 2/9*y**2. What is a in w(a) = 0?
0, 2
Factor m**3 + 4*m**5 - 4*m**3 + 7*m**3 - 8*m + 12*m**2 - 12*m**4.
4*m*(m - 2)*(m - 1)**2*(m + 1)
Let z(f) be the third derivative of -f**5/60 + f**4/12 - f**3/6 - 5*f**2. Factor z(p).
-(p - 1)**2
Let c(q) = 3*q**3 - 3*q**2 - 4*q + 4. Suppose 12*w = 11*w - 4. Let d(t) = -7*t**3 + 7*t**2 + 9*t - 9. Let i(o) = w*d(o) - 9*c(o). Suppose i(z) = 0. Calculate z.
0, 1
Factor 48*u**4 - 48*u**4 - 2*u**3 + u + u**5.
u*(u - 1)**2*(u + 1)**2
Suppose -12 = 3*h + h. Let q(j) = -2*j**3 + 3*j**2 - j. Let z(p) = 2*p - 4*p - p**2 + 4*p - p. Let v(b) = h*z(b) - q(b). Factor v(o).
2*o*(o - 1)*(o + 1)
Let o be 6 - (-2 + -1)*-1. Suppose -4*y + 3*a = 1, 2*a + 0 - 8 = -y. Solve 3/4*q**y - 3*q + o = 0 for q.
2
Let f(u) be the third derivative of u**6/1980 - u**5/330 + u**4/132 + 2*u**3/3 - u**2. Let b(p) be the first derivative of f(p). What is q in b(q) = 0?
1
Let w(y) be the first derivative of y**4/6 + y**3/3 - y - 2. Let p(m) be the first derivative of w(m). Factor p(h).
2*h*(h + 1)
Suppose -3*i - 2*i**3 - 7*i**3 - 3 + 0 + 15*i**2 = 0. Calculate i.
-1/3, 1
Let u(c) be the second derivative of c**7/18 - c**6/18 - 4*c**5/15 - c**4/9 - 35*c. Determine f, given that u(f) = 0.
-1, -2/7, 0, 2
Let m(a) be the second derivative of 0*a**4 + a + 0 - 1/15*a**3 + 1/50*a**5 + 0*a**2. Solve m(x) = 0.
-1, 0, 1
Let w = -88 + 91. Let -8/3*u**2 - 4/3 - 10/3*u - 2/3*u**w = 0. What is u?
-2, -1
Let n(s) be the third derivative of -s**7/70 - s**6/40 + 3*s**5/10 - 55*s**2. Factor n(h).
-3*h**2*(h - 2)*(h + 3)
Factor -4 - 4/3*v**2 - 4/3*v**3 + 20/3*v.
-4*(v - 1)**2*(v + 3)/3
Let y = -396/7 - -400/7. Factor -10/7*o + 2*o**2 - y.
2*(o - 1)*(7*o + 2)/7
Let y(k) be the third derivative of 0 + 4*k**2 + 0*k - 1/3*k**3 - 5/6*k**4 - 5/6*k**5. Let y(x) = 0. What is x?
-1/5
Let a(p) be the first derivative of p**4/8 + 14. Factor a(r).
r**3/2
Let w be (-96)/(-28) + (-6)/(1 - -1). Factor 0 + 0*p**2 + 6/7*p**3 - 3/7*p - w*p**5 + 0*p**4.
-3*p*(p - 1)**2*(p + 1)**2/7
Let w = 99 - 99. Solve 2/9*g**3 + 2/9*g**2 + 0*g + w = 0.
-1, 0
Suppose 0 = 3*m + f + 5, -5*f = -3*f + 10. Let a(s) be the first derivative of -2/65*s**5 + 0*s**4 + 0*s - 2 + m*s**2 + 2/39*s**3. Factor a(u).
-2*u**2*(u - 1)*(u + 1)/13
Let q be (-6)/(-8)*120/27. Let d = -12 + 15. Factor 8/9*n**2 - q*n**d + 8/9*n + 0.
-2*n*(3*n - 2)*(5*n + 2)/9
Let r(y) be the second derivative of 0*y**4 + 0 + 0*y**2 + 1/105*y**6 + 0*y**5 + 0*y**3 - 3*y. Solve r(a) = 0 for a.
0
Let z(x) = 14*x**5 - 32*x**4 + 8*x**3 + 3*x**2 + 3*x - 3. Let d(a) = -a**2 - a + 1. Let k(m) = 3*d(m) + z(m). Determine q so that k(q) = 0.
0, 2/7, 2
Let p(k) be the second derivative of k**7/28 - 13*k**6/60 + 13*k**5/40 + 3*k**4/8 - 4*k**3/3 + k**2 - 2*k. Let p(i) = 0. What is i?
-1, 1/3, 1, 2
Solve -37*q**2 + 15*q + 6 + 20*q**2 - 15*q**3 + 11*q**2 = 0.
-1, -2/5, 1
Let o = 116 - 810/7. Find n, given that -o*n**5 - 2/7*n**2 - 6/7*n**3 + 0 - 6/7*n**4 + 0*n = 0.
-1, 0
Let u(d) be the first derivative of 0*d - 2/21*d**3 - 4 + 0*d**2. Factor u(j).
-2*j**2/7
Let d(s) be the second derivative of 3*s**5/20 - 7*s**4/4 + 15*s**3/2 - 27*s**2/2 - 22*s. Factor d(c).
3*(c - 3)**2*(c - 1)
Let h be 28/210 - 812/15. Let o be (6/h)/(2/(-6)). Factor -2/3*n**2 - o*n**3 - 1/3*n + 0.
-n*(n + 1)**2/3
Let x(l) be the third derivative of l**9/52920 + l**8/7840 + l**7/2940 + l**6/2520 + l**4/12 - l**2. Let b(t) be the second derivative of x(t). Factor b(d).
2*d*(d + 1)**3/7
Let g(n) be the second derivative of -n**4/48 + n**2/8 - 1