 d(r) = 0.
-1, -2/7
Let j be (1 + -3)/((-204)/51). Determine n, given that 1/2*n**3 + 1/2*n**4 - j*n + 1 - 3/2*n**2 = 0.
-2, -1, 1
Let b be (-16 - -10) + 1 + 5 - -5. Solve 6/7*o - 8/7*o**3 + 2/7*o**b + 0*o**4 - 4/7*o**2 + 4/7 = 0 for o.
-1, 1, 2
Suppose -6*g**2 + 7*g + 2 + 4 - 8 + 15*g**2 = 0. What is g?
-1, 2/9
Let n(f) = f**2 + 10*f + 13. Let g be n(-9). Let a be 2/g*2*3. Suppose 9*v**2 - v - 4*v**3 - v - 3*v**a = 0. Calculate v.
0, 2/7, 1
Let s(h) be the first derivative of 4/15*h**3 + 1/5*h**2 - 1/15*h**6 + 0*h**4 - 4/25*h**5 + 0*h + 1. Suppose s(z) = 0. What is z?
-1, 0, 1
Factor -1/3*o - 3/2*o**3 - 5/6*o**4 - 7/6*o**2 + 0 - 1/6*o**5.
-o*(o + 1)**3*(o + 2)/6
Let c(f) = -f**3 + 14*f**2 - 14*f + 13. Let n be c(13). Suppose 2 + 0*o**2 + 0*o**2 + n*o**2 - 2*o**2 = 0. Calculate o.
-1, 1
Let c(g) be the first derivative of 3/25*g**5 + 1 + 3/10*g**2 - 1/30*g**6 - 1/10*g**4 - 1/5*g - 2/15*g**3. Determine j, given that c(j) = 0.
-1, 1
Let j(s) = 4*s**4 - 10*s**3 - 18*s**2 - 20*s - 4. Let x(p) = -5*p**4 + 10*p**3 + 18*p**2 + 21*p + 4. Let n(z) = -7*j(z) - 6*x(z). Factor n(k).
2*(k + 1)**3*(k + 2)
Let b(l) = 3*l**3 + 17*l**2 - 13*l. Let t(o) = 2*o**3 + 9*o**2 - 6*o. Let f(z) = 3*b(z) - 5*t(z). Find i such that f(i) = 0.
0, 3
Suppose 0 = 4*o - 4 - 8. Factor -2*g - 24*g**3 + 18*g**2 - 8*g + 10*g + 9*g**4 - o.
3*(g - 1)**3*(3*g + 1)
Let t(b) be the third derivative of b**6/90 - 7*b**5/45 + 8*b**4/9 - 8*b**3/3 + 2*b**2 + 24*b. Suppose t(f) = 0. What is f?
2, 3
Factor -2/5*c**2 + 2 + 8/5*c.
-2*(c - 5)*(c + 1)/5
Let o = 3 + 18. What is d in -45*d**2 + 62*d**3 + 49*d**4 - 32*d**5 - d**4 - 4 + d**2 - o*d - 9*d = 0?
-1, -1/4, 1, 2
Let p(x) be the third derivative of 2*x**7/105 + x**6/30 - x**5/15 - x**4/6 - 8*x**2. Factor p(f).
4*f*(f - 1)*(f + 1)**2
Let h(s) = -s**2 + 5. Let t be h(5). Let b = 23 + t. Determine m so that 0 - 3/5*m**b + 3/5*m + 0*m**2 = 0.
-1, 0, 1
Let m = 970 + -5953/6. Let h = -43/2 - m. Solve h*s**3 + 0 + 0*s - 1/3*s**2 - 1/3*s**4 = 0.
0, 1
Let w(j) = -6*j + 3. Let i(m) = m**2 - m + 1. Let l(t) = -3*i(t) - w(t). Determine n so that l(n) = 0.
1, 2
Let l be 0 + -4 + 483/35 + -9. Find v such that -2/5 + 2/5*v**5 + 4/5*v**2 - l*v**3 + 2/5*v - 2/5*v**4 = 0.
-1, 1
Let m(f) = -f**3 - 3*f**2 + 3*f - 1. Suppose 0*n = -4*i + 2*n - 14, -5 = 2*i - 3*n. Let t be m(i). Factor y**3 - 2*y - 4*y**t + 5*y**3.
2*y*(y - 1)*(y + 1)
Factor 2/11*i**2 - 2/11 + 0*i.
2*(i - 1)*(i + 1)/11
Suppose 5*i - k = 2*k - 70, 14 = -i + 4*k. Let j = 29/2 + i. Suppose -1/2*q**3 - j*q**4 + 0 + 0*q + 0*q**2 = 0. Calculate q.
-1, 0
Let b(m) be the first derivative of -375*m**4/8 + 225*m**3/2 - 405*m**2/4 + 81*m/2 - 12. Find g such that b(g) = 0.
3/5
Factor 1/2 + 3/5*u + 1/10*u**2.
(u + 1)*(u + 5)/10
Let u(r) be the second derivative of 0*r**5 + 0*r**6 + 0 + 1/12*r**4 + 1/1260*r**7 + 0*r**2 + 0*r**3 - r. Let t(x) be the third derivative of u(x). Factor t(n).
2*n**2
Suppose 0 = 5*k - 5*u - 7 - 133, -2*u = 10. Let i = k - 23. Suppose -1/4*f**3 - 3/4*f**2 + i*f + 1 = 0. Calculate f.
-2, 1
Let y(m) = 25*m**3 + 64*m**2 + 41*m + 5. Let x(v) = 276*v**3 + 704*v**2 + 452*v + 56. Let f(o) = -3*x(o) + 32*y(o). Factor f(b).
-4*(b + 1)**2*(7*b + 2)
Let q(k) be the first derivative of k**4/8 + k**3/3 + k**2/4 + 10. Factor q(n).
n*(n + 1)**2/2
Let u(x) = -3*x**4 + x**3 + 2*x**2 - 5*x + 5. Suppose 0*a = a + 6. Let s(t) = 4*t**4 - 2*t**3 - 2*t**2 + 6*t - 6. Let b(h) = a*u(h) - 5*s(h). Factor b(m).
-2*m**2*(m - 1)**2
Suppose -7*d = -2*d - 15. Find c such that 3 - c**4 + c**2 - 3 + 3*c**5 - 3*c**d = 0.
-1, 0, 1/3, 1
Factor 0 + 2/11*w**2 - 4/11*w.
2*w*(w - 2)/11
Let p(a) be the second derivative of 2*a**4/21 + a**3/7 - a**2/7 + 5*a. Solve p(y) = 0 for y.
-1, 1/4
Let x(v) be the first derivative of 4/5*v**5 + 0*v - 3 - 4/3*v**3 + v**6 - 4/3*v**4 - 1/3*v**2. Find o such that x(o) = 0.
-1, -1/3, 0, 1
Let n(u) = u**4 + u**3. Let b(s) = -7*s**4 - 7*s**3. Let r(k) = b(k) + 4*n(k). Let r(a) = 0. What is a?
-1, 0
Let s(o) be the second derivative of -o**5/120 - o**4/24 + o**3/36 + o**2/4 - 8*o. Find r, given that s(r) = 0.
-3, -1, 1
Let r(b) be the third derivative of b**8/840 - b**6/150 + b**4/60 + 20*b**2. Solve r(j) = 0 for j.
-1, 0, 1
Let y(g) = 2*g - 29. Let t be y(16). Let -i + 3*i**4 - 3*i**2 - 5/4*i**t + 9/4*i**5 + 0 = 0. What is i?
-1, -2/3, 0, 1
Let r(p) be the second derivative of p**5/80 + p**4/8 + p**3/2 - 2*p**2 + p. Let u(o) be the first derivative of r(o). Let u(g) = 0. Calculate g.
-2
Let z(h) be the second derivative of h**5/20 + h**4/12 - h**3/6 - h**2/2 - 23*h. Solve z(x) = 0.
-1, 1
Let p be 6/(-18) + 14/6. Let n(u) be the third derivative of -3*u**p + 0 + 1/4*u**4 + 0*u - 1/10*u**5 + 1/60*u**6 - 1/3*u**3. Determine h so that n(h) = 0.
1
Let b = -2 + 4. Factor 6*k**3 + 3*k + 6*k**b - k + 2*k**4 + 0 + 0.
2*k*(k + 1)**3
Let x(z) be the second derivative of z**5/60 - z**4/4 + 3*z**3/2 + z**2/2 + 7*z. Let o(m) be the first derivative of x(m). Factor o(k).
(k - 3)**2
Let i(c) = 4*c**2 - 13*c - 21. Let h(j) = j**2 - j - 1. Let a(v) = -5*h(v) + i(v). Suppose a(t) = 0. What is t?
-4
Let i(h) be the third derivative of h**7/12600 + h**4/24 - 2*h**2. Let r(n) be the second derivative of i(n). Factor r(s).
s**2/5
Let q be 2 + (2 + -3 - 2). Let u be (-2)/(-4)*-1*q. Factor 1/2*g**4 - u*g**2 + 0*g**3 + 0*g + 0.
g**2*(g - 1)*(g + 1)/2
Let x(j) = 8*j**2 - 3*j. Let i(t) = -12*t**2 + 5*t. Let d(u) = 5*i(u) + 7*x(u). Factor d(f).
-4*f*(f - 1)
Let n be ((-3)/1)/((-6)/4). Factor -x**3 + n*x**5 - x**3 + 0*x**3.
2*x**3*(x - 1)*(x + 1)
Let q(x) = x**2 - 13*x - 10. Let b be q(14). Find c such that c**2 - 16*c**3 + 7*c**2 + 5*c**b + 5*c**4 - 2*c**5 = 0.
0, 1, 2
Factor -4*d + 7*d - 5*d**4 + 15*d**3 - 7*d**2 - 18*d + 2*d**2 + 10.
-5*(d - 2)*(d - 1)**2*(d + 1)
Factor 0*q + 1/2*q**5 + q**4 - q**2 + 0 - 1/2*q**3.
q**2*(q - 1)*(q + 1)*(q + 2)/2
Let b = 8 - 5. Suppose 3*g = -3*s - 3, 0 = -b*g + g + 3*s + 18. Factor -6/7*t**2 - 4/7*t + 0 - 2/7*t**g.
-2*t*(t + 1)*(t + 2)/7
Let z = 4381/60 - 73. Let t(f) be the second derivative of 3*f + 0*f**3 - z*f**6 + 1/40*f**5 + 1/12*f**4 + 0*f**2 + 0. Factor t(u).
-u**2*(u - 2)*(u + 1)/2
Let y(r) be the first derivative of 0*r**3 + 0*r + 0*r**4 - 2/3*r**6 + 4/5*r**5 - 5 + 0*r**2. Factor y(j).
-4*j**4*(j - 1)
Let y(f) be the second derivative of -f**6/10 + f**4/4 + 9*f. Factor y(m).
-3*m**2*(m - 1)*(m + 1)
Let f(a) be the second derivative of -a**6/60 - a**5/40 + a**4/6 + a**3/3 + 2*a + 4. Solve f(z) = 0.
-2, -1, 0, 2
Let m(u) = u**2 + 3*u + 2. Let b = 4 - 7. Let j be m(b). Find i, given that -3*i**j + 6*i**2 - 5*i - 2 + 4*i**2 = 0.
-2/7, 1
Let h be (-1)/(3*1/24). Let p = -6 - h. Determine x so that 3/4*x + 1/4 + 1/4*x**3 + 3/4*x**p = 0.
-1
Let w(m) = -10*m**2 - 28*m - 18. Let a(c) = -c**2 - 3*c - 2. Let p(l) = -52*a(l) + 6*w(l). Find z, given that p(z) = 0.
-1, -1/2
Let p(j) = -j**3 - 5*j**2 - 5*j - 3. Let q be p(-3). Let h be q/(-5) - (-2)/(-2). Find k, given that -6/5*k**3 - 1/5*k**5 + 4/5*k**2 + 4/5*k**4 - h*k + 0 = 0.
0, 1
Let y(b) be the second derivative of -b**4/16 - 3*b**3/8 + 3*b**2/2 + 23*b. Suppose y(u) = 0. Calculate u.
-4, 1
Let x be (-1 - (-9)/6)*0/16. Factor -2/3*q**2 + 2/3*q + x.
-2*q*(q - 1)/3
Let y(a) be the second derivative of 0*a**3 + 0 + 0*a**2 + 0*a**4 + 1/5*a**5 + 7*a. What is p in y(p) = 0?
0
Suppose 20/7*r + 1/7*r**3 + 16/7 + 8/7*r**2 = 0. Calculate r.
-4, -2
Let w(k) be the third derivative of -k**5/15 + 2*k**4/3 - 2*k**3 + 22*k**2. Solve w(u) = 0.
1, 3
Let n be 26/14 + (0 - 2). Let k = 11/21 - n. Let -k*w + 8/3*w**2 + 0 - 2*w**3 = 0. Calculate w.
0, 1/3, 1
Let f(y) be the second derivative of -1/10*y**6 + 1/6*y**4 - 6*y + 1/2*y**2 - 1/42*y**7 - 1/10*y**5 + 0 + 1/2*y**3. Factor f(p).
-(p - 1)*(p + 1)**4
Let d(x) = x**3 - x**2 - x. Suppose -2*u = 2 - 0. Let k(l) = 18*l**4 + 6*l**3 - 22*l**2 - 14*l. Let v(q) = u*k(q) + 12*d(q). Factor v(m).
-2*m*(m - 1)*(3*m + 1)**2
Let n(m) be the first derivative of -2*m**5/35 - m**4/7 - 2*m**3/21 + 1. Suppose n(i) = 0. What is i?
-1, 0
Suppose -5*v - 4*h + 7 - 3 = 0, -5*v + 16 = h. Factor -2*j**2 + 0*j**2 - 2*j + v*j**2.
2*j*(j - 1)
Let p(k) = -5*k**3 - k**2 + k + 1. Let n(g) be the second derivative of -3*g**5/10 - g**4/6 + g**3/3 + g**2/2 + 2*g. Let m(i) = -4*n(i) + 5*p(i). Factor m(w).
-(w - 1)**3
Let 6*a + 0*a**2 -