x + 2)
Suppose 0 = 4*g + 2*g - 30. Let q(y) = 3*y**4 - 6*y**3 + 3*y**2 - 6. Let c(p) = 2*p**4 - 5*p**3 + 3*p**2 - 5. Let o(b) = g*q(b) - 6*c(b). Solve o(n) = 0.
-1, 0, 1
Let g be 11 + 2*(-9)/6. Determine r so that g - 24*r - 1/2*r**5 + 9/2*r**4 - 16*r**3 + 28*r**2 = 0.
1, 2
Suppose 7*x - 6*x - 2 = 0. Let u(t) be the first derivative of 0*t**x + 0*t**3 - 3/4*t**4 - 2 + 0*t. Let u(z) = 0. Calculate z.
0
Let f be 18/(-4)*(-2)/3. Factor d + 5*d - 6 + 5*d - f*d**2.
-(d - 3)*(3*d - 2)
Let r(n) be the second derivative of -n**4/30 - n**3/15 + 2*n**2/5 - 6*n. Factor r(s).
-2*(s - 1)*(s + 2)/5
Let w = 0 - -2. Factor -48*b + b**2 + 15 + 9*b**4 - b**5 + 61*b**w - 6*b**2 - 32*b**3 + 1.
-(b - 2)**4*(b - 1)
Suppose 2*l + h + 1 = 0, -l - 2*l + 3*h + 3 = 0. Let g = 109 - 106. Suppose 2/7*a**g + 0*a**2 + l - 2/7*a = 0. What is a?
-1, 0, 1
Let p(h) = h**3 - 2*h**2 - h - 2. Suppose x + 5 = 8. Let n be p(x). Factor 8/3*j**n - 4*j**3 + 8/3*j**2 - 2/3*j - 2/3*j**5 + 0.
-2*j*(j - 1)**4/3
Let w be (-184)/56 + 2/7. Let m be (40/15)/(-2)*w. Factor 1/4*y**m + 0*y + 1/4*y**3 + 0*y**2 + 0.
y**3*(y + 1)/4
Let c = 3 - 3. Let h be ((-6)/(-10))/(1/5). Factor 6/5*o**4 + 2*o**2 + c + 2/5*o + 14/5*o**h.
2*o*(o + 1)**2*(3*o + 1)/5
Let y be 14/(-12)*5/(-7). Let o(m) be the second derivative of 2*m - m**3 - 2*m**2 + y*m**4 + 0. Find b such that o(b) = 0.
-2/5, 1
Let l = -114 - -114. Factor 2*j**3 + 4/3*j**5 + l*j + 0 - 3*j**4 - 1/3*j**2.
j**2*(j - 1)**2*(4*j - 1)/3
Let y = 1354/13 + -104. Solve -2/13*i**2 + 4/13*i - y = 0 for i.
1
Let i(l) = -3*l**2 - 5 - l - 2*l + 3*l**3 - 10*l**3. Let h = 0 + -5. Let z(b) = 4*b**3 + b**2 + b + 3. Let f(q) = h*z(q) - 3*i(q). Let f(p) = 0. Calculate p.
-2, 0
Let m be 1/((-8)/(-6) - 1). Suppose -1 - m = -2*n. Factor -2*s**3 + 0*s**2 + 6*s**n - 6*s + 2 + 0*s**2.
-2*(s - 1)**3
Let l = 4 + -2. Suppose -3*r + 2*p = -10, -29 = 4*p - 9. Determine x, given that 0 + r*x**l - 2/7*x + 2/7*x**3 = 0.
-1, 0, 1
Let 32*z**2 - 40*z**4 - 26*z**4 + 40*z**3 - 36 + 70*z**4 - 40*z = 0. What is z?
-9, -1, 1
Let m be -2 - (-2 - -2 - 4). Let -1/5 + 1/5*g**m + 1/5*g - 1/5*g**3 = 0. What is g?
-1, 1
Let q(j) be the second derivative of -j**5/4 + 5*j**4/12 - 5*j - 1. Factor q(d).
-5*d**2*(d - 1)
Let l = 13252/993 + -4/331. Let u = 14 - l. Determine k, given that -1/3*k**4 + 2/3*k - u*k**3 + 0*k**2 + 1/3 = 0.
-1, 1
Let a = -33 + 38. Let x(d) be the second derivative of 4*d + 1/90*d**a - 2/9*d**2 + 0 - 1/27*d**3 + 1/27*d**4. Factor x(z).
2*(z - 1)*(z + 1)*(z + 2)/9
Determine z, given that 5*z**3 - z**4 + 5*z**2 - z**3 - 3*z**3 + 3*z**3 = 0.
-1, 0, 5
Factor -3*n**2 - 5*n**3 + 6*n + 2*n**3 - 4*n + n + 3*n**4.
3*n*(n - 1)**2*(n + 1)
Let f(m) be the third derivative of -3*m**2 + 0 + 0*m - 1/28*m**6 + 0*m**3 + 1/42*m**4 - 1/168*m**8 + 19/735*m**7 + 1/210*m**5. Suppose f(p) = 0. Calculate p.
-2/7, 0, 1
Let g = -7 + 9. Let d = g + 2. Factor -8/7*y - 8/7*y**3 - 2/7 - 2/7*y**d - 12/7*y**2.
-2*(y + 1)**4/7
Let v(n) = 225*n - 67 - 125 + 14*n**2 - 95*n**2. Let h(q) = 5*q**2 + 2*q - 8*q - 8*q + 12. Let b(j) = -33*h(j) - 2*v(j). Factor b(o).
-3*(o - 2)**2
Factor -210*h**2 - 2*h + 5*h + 6 + 207*h**2.
-3*(h - 2)*(h + 1)
Factor 1/6 + 1/6*l**3 - 1/6*l**2 - 1/6*l.
(l - 1)**2*(l + 1)/6
Suppose 2/7 - 2/7*p**2 + 1/7*p**3 - 1/7*p = 0. What is p?
-1, 1, 2
Let n(o) = o**4 + o**3 - o**2 - o. Let g(h) = -2*h**4 - 2*h**3 + 2*h**2 + 2*h. Let w(x) = 3*g(x) + 5*n(x). Find j such that w(j) = 0.
-1, 0, 1
Suppose 5*a - 10*a + 20 = 0. Suppose -36*g**5 + 8*g**3 + 8*g**5 - 18*g**a - 2*g**4 = 0. What is g?
-1, 0, 2/7
Let j(n) be the second derivative of -n**7/42 - 11*n**6/75 - 33*n**5/100 - n**4/3 - 2*n**3/15 + 7*n. Determine b, given that j(b) = 0.
-2, -1, -2/5, 0
Suppose -14/3*y**3 + 4/3*y - 2*y**2 + 2*y**4 + 10/3*y**5 + 0 = 0. Calculate y.
-1, 0, 2/5, 1
Suppose -1 = -2*l + 5. Suppose -10 - 2 = -6*u. Suppose u - 5*j**2 + j**l + 4*j**4 + 0*j**3 - j - j**4 = 0. Calculate j.
-1, 2/3, 1
Let n(g) be the second derivative of -g**7/98 - 3*g**6/35 - 33*g**5/140 - 3*g**4/14 + 11*g. What is m in n(m) = 0?
-3, -2, -1, 0
Let y(q) = 4*q**4 - 4*q**3 + 3*q**2 + q - 7. Let k(n) = 9*n**4 - 8*n**3 + 6*n**2 + n - 15. Let c(o) = 3*k(o) - 7*y(o). Factor c(l).
-(l - 2)**2*(l - 1)*(l + 1)
Let h be (3/2)/((-15)/80). Let g be (5 - 2)/((-6)/h). Factor -14*q - 12*q**2 + 38*q + g*q**2 - 10*q**2 - 8.
-2*(3*q - 2)**2
Let o = -563 + 2263/4. Let m be 2 + 3/(-2) - 0. Factor 21/4*n**2 + 5/4*n**4 + m + o*n + 17/4*n**3.
(n + 1)**3*(5*n + 2)/4
Suppose 0 = 4*l + l + 25. Let q(c) = -c**5 + 7*c**3 - 6*c**2. Let i(z) = z**5 - 8*z**3 + 7*z**2. Let w(o) = l*q(o) - 4*i(o). Factor w(m).
m**2*(m - 1)**2*(m + 2)
Let n be (-2)/(8/(-5)) - (2 - 1). Suppose 1/4*u + n*u**2 + 0 = 0. Calculate u.
-1, 0
Let a(o) = 5*o**4 + 12*o**3 - 2*o**2 - 11*o - 5. Let l(v) = v**2 - v + 1. Let m(h) = -a(h) - l(h). What is p in m(p) = 0?
-2, -1, -2/5, 1
Let m(g) be the third derivative of -g**5/180 + g**3/18 - 24*g**2. Factor m(s).
-(s - 1)*(s + 1)/3
Let b(j) be the first derivative of j**7/280 - j**6/10 + 6*j**5/5 - 8*j**4 + j**3/3 + 4. Let q(p) be the third derivative of b(p). Solve q(f) = 0 for f.
4
Find q such that -3/2 + 15/4*q**3 - 15/4*q + 3/2*q**2 = 0.
-1, -2/5, 1
Let p(a) be the second derivative of -a + 0 + 1/2*a**4 + 0*a**2 - 2/3*a**3. Factor p(u).
2*u*(3*u - 2)
Suppose 5*y - 12 - 18 = 0. Suppose 3*h = -0*h + y. Factor 4/7*g + 6/7*g**h - 2/7.
2*(g + 1)*(3*g - 1)/7
Factor -3*x**4 - 3*x**3 - x**2 - 8*x**2 - 5*x**3 - 4*x**3.
-3*x**2*(x + 1)*(x + 3)
Let j(b) be the second derivative of b**6/1620 - b**4/108 + 2*b**3/3 - 5*b. Let f(h) be the second derivative of j(h). Factor f(w).
2*(w - 1)*(w + 1)/9
Factor -3/8*g**4 + 9/2*g + 3/4*g**2 - 3/2*g**3 - 27/8.
-3*(g - 1)**2*(g + 3)**2/8
Find v such that 3*v**2 - 2*v + 4*v**3 - 8*v**5 + 10*v**3 - 4*v**3 + 6*v**4 - 9*v**2 = 0.
-1, -1/4, 0, 1
Let k(v) be the second derivative of -v**6/60 - v**5/40 + v**4/24 + v**3/12 + 2*v. Factor k(b).
-b*(b - 1)*(b + 1)**2/2
Factor -48/7*d - 12/7 - 3*d**2.
-3*(d + 2)*(7*d + 2)/7
Let q(d) be the first derivative of -d**4/5 + 6*d**2/5 - 8*d/5 + 8. Find s such that q(s) = 0.
-2, 1
Let u(p) = 4*p**2 + p - 2. Let r be u(1). Factor 4*l**2 - l + l**2 - l + 4*l**2 - 7*l**r.
-l*(l - 1)*(7*l - 2)
Let t(d) be the third derivative of -d**5/5 - 7*d**4/6 - 4*d**3/3 - d**2. Find c, given that t(c) = 0.
-2, -1/3
Let v(z) be the third derivative of z**7/5040 + z**6/720 + z**5/240 + z**4/24 + 4*z**2. Let c(o) be the second derivative of v(o). Factor c(l).
(l + 1)**2/2
Suppose 4*n**2 - 2*n**3 - n - 5*n**2 + n**4 + 3*n**3 = 0. What is n?
-1, 0, 1
Let b(h) be the first derivative of -h**6/21 + 6*h**5/35 + 3*h**4/7 - 16*h**3/21 - 28. Determine l, given that b(l) = 0.
-2, 0, 1, 4
Let x(d) be the third derivative of 0*d**3 + 1/300*d**6 + 0*d**7 - 1/225*d**5 + 0 + 0*d - 1/2520*d**8 + 0*d**4 + 8*d**2. Factor x(a).
-2*a**2*(a - 1)**2*(a + 2)/15
Suppose -5*q + 9 = -1. Let z be (q/(-4))/((-2)/8). Factor 10/9*s**z + 4/9*s + 0 - 14/9*s**3.
-2*s*(s - 1)*(7*s + 2)/9
Let u(y) be the third derivative of y**5/15 - 4*y**4/3 + 32*y**3/3 + 3*y**2. Factor u(t).
4*(t - 4)**2
Let j be 0/(0 + 0 - 18/9). Let o(k) be the second derivative of -9/7*k**2 + j - 2*k - 2/7*k**3 - 1/42*k**4. Factor o(i).
-2*(i + 3)**2/7
Suppose -3*g = 15 - 0. Let y be 6*g/(45/(-6)). Solve 8 + 60*n**4 - 49*n**3 - 403*n**y + 265*n**2 - 55*n**2 - 76*n = 0 for n.
-1, 2/7
Let j = 1 + 3. Suppose j*d - 8 = 0, 7 = 2*q - 2*d - 1. Factor 5*c**2 + 0*c**2 - c**2 - q*c**2.
-2*c**2
Let h(a) be the second derivative of -a**6/135 + a**4/27 - a**2/9 - 14*a. Factor h(w).
-2*(w - 1)**2*(w + 1)**2/9
Let d be 0 + -4*4/(-16). Let u be 16/(-40)*(d - 3). Factor 6/5*o**3 - 14/5*o**4 + 6/5*o**5 - u*o + 0 + 6/5*o**2.
2*o*(o - 1)**3*(3*o + 2)/5
Factor -4*f**5 + 12*f**4 - f**3 + 3*f**5 - 3*f**5 - 7*f**3.
-4*f**3*(f - 2)*(f - 1)
Factor 16/3 + 2/3*g**3 + 52/9*g**2 + 104/9*g.
2*(g + 2)*(g + 6)*(3*g + 2)/9
Let c(j) = -j**2 - 6*j + 5. Let g(a) = -a - 3. Let s be g(3). Let f be c(s). Let -f*x + 3*x + 0*x - 5*x**2 + 7*x**3 = 0. Calculate x.
-2/7, 0, 1
Let g = -34 - -37. Determine k so that 1/2*k**2 + 1/2*k - 1/2 - 1/2*k**g = 0.
-1, 1
Let y be -2 - (-103)/44 - 69/(-92). Factor -y*i - 2/11*i**2 - 18/11.
-2*(i + 3)**2/11
Let d(c) = -c**3 + 6*c**2 + 3. Let f be d(6). Let p(k) be the first derivative of