a*(a + 1)**3*(3*a + 1)/5
Let k(w) be the first derivative of w**6/480 + w**5/240 - w**4/96 - w**3/24 - w**2 + 3. Let z(o) be the second derivative of k(o). Find g, given that z(g) = 0.
-1, 1
Let u = -7 - -10. Suppose y + 4*j - 2*j - 6 = 0, 0 = -5*y + j - u. Factor 1/4*g**2 + y*g + 1/2*g**3 + 0 + 1/4*g**4.
g**2*(g + 1)**2/4
Determine z so that 2 + 9/2*z**4 - 15*z**3 + 10*z + 13/2*z**2 = 0.
-1/3, 2
Let z(q) be the third derivative of -q**8/336 + q**7/105 + q**6/120 - q**5/30 - 40*q**2. Factor z(l).
-l**2*(l - 2)*(l - 1)*(l + 1)
Let d = 1/156 + 77/156. Factor 0 + d*z**2 + 1/6*z + 1/6*z**4 + 1/2*z**3.
z*(z + 1)**3/6
Let d(n) be the third derivative of n**6/40 - 3*n**5/20 + 3*n**4/8 - n**3/2 + 4*n**2. Suppose d(c) = 0. Calculate c.
1
Suppose -6 = -2*g - 4. Let k be (g - -1)*1*1. What is n in -4*n**2 - n**2 + 2*n**2 + k*n**2 + 1 = 0?
-1, 1
Let a be 2 + 2 + (-189)/33. Let o = 21/11 + a. Determine x, given that 0 - 2/11*x**2 + 2/11*x**4 + 0*x + o*x**3 - 2/11*x**5 = 0.
-1, 0, 1
Let c(h) be the second derivative of h**7/126 - h**6/18 + 3*h**5/20 - 7*h**4/36 + h**3/9 - 16*h. Suppose c(m) = 0. Calculate m.
0, 1, 2
What is j in -16/11*j - 32/11 - 2/11*j**2 = 0?
-4
Suppose -4*m = -0*m. Let 2*h**2 - 5 + m + 4 - h**4 = 0. Calculate h.
-1, 1
Determine d, given that -22/17*d**4 + 22/17*d**3 - 2/17*d**2 + 6/17*d**5 - 4/17*d + 0 = 0.
-1/3, 0, 1, 2
Let o(z) = 10*z**4 - 11*z**3 + 2*z**2 - 1. Suppose 4*q + 50 = -38. Let c(u) = 19*u**4 - 18*u**4 + 0*u + 0*u - u**3. Let s(k) = q*c(k) + 2*o(k). Factor s(i).
-2*(i - 1)**2*(i + 1)**2
Let b be 2*-3*2/(-6). Let w = 0 + b. Factor 1/2*v**3 + 0 + 0*v**w + 0*v.
v**3/2
Let g(o) be the second derivative of -8/5*o**6 - 7*o + 5/2*o**4 + 0*o**2 + 0 - 2/3*o**3 - 23/10*o**5 + 16/21*o**7. Solve g(c) = 0 for c.
-1, 0, 1/4, 2
Let s(v) be the third derivative of -v**8/336 + v**7/210 + v**6/40 - v**5/12 + v**4/12 + 6*v**2. Find c, given that s(c) = 0.
-2, 0, 1
Let k(q) be the second derivative of -q**4/12 + q**3/3 + 3*q**2/2 + 8*q. Find u such that k(u) = 0.
-1, 3
Let t be 14 + -2 + (-2)/2. Let v be t/33 + 2/30. Factor -1/5 - 1/5*k**2 + v*k.
-(k - 1)**2/5
Let v = 203 - 5683/28. Let z(n) be the third derivative of -n**2 + 0 + 1/210*n**5 + 2/21*n**3 - v*n**4 + 0*n. Factor z(m).
2*(m - 2)*(m - 1)/7
Suppose 2*u**4 - 18*u - 9*u**4 - 39*u**2 + 3 - 5*u**4 - 6 - 36*u**3 = 0. What is u?
-1, -1/2
Let m(s) be the second derivative of s**5/40 - s**3/4 - s**2/2 + 17*s. Factor m(n).
(n - 2)*(n + 1)**2/2
Factor -2*h - 4/7*h**2 + 4/7 + 2*h**3.
2*(h - 1)*(h + 1)*(7*h - 2)/7
Let p be ((-2)/5)/((-2)/10). Let u = -327/2 + 164. Factor u*g + 1/2*g**p - 1/2 - 1/2*g**3.
-(g - 1)**2*(g + 1)/2
Let m be (72/(-63))/(80/(-56)). Solve -m*a**4 + 4/5*a**2 + 2/5*a + 0 + 0*a**3 - 2/5*a**5 = 0.
-1, 0, 1
Let p(x) be the third derivative of x**5/40 - x**4/4 + x**3 + 3*x**2. Find b, given that p(b) = 0.
2
Let 55/2*u - 15 + 5/2*u**3 - 15*u**2 = 0. What is u?
1, 2, 3
Let j(s) = -2*s**2 + 1 - 3 - 3 + 7*s. Let i(m) = -m**2 + 3*m - 2. Let v(p) = 5*i(p) - 2*j(p). Determine r so that v(r) = 0.
0, 1
Suppose 0 = p + 5*j + 8, -5*j - 3 = -4*p + 15. Solve 3*h**p - 3 + 3/2*h - 3/2*h**3 = 0.
-1, 1, 2
Let n(f) be the first derivative of 0*f**5 + 1/4*f**4 + 0*f**3 + 0*f - 1/4*f**2 - 1/12*f**6 - 2. Find o such that n(o) = 0.
-1, 0, 1
Let s = -9/7 - -43/28. Solve -1/4 + 1/4*n**3 + 1/4*n**2 - s*n = 0 for n.
-1, 1
Let k(h) be the third derivative of h**5/150 - h**4/60 - 2*h**3/15 + 7*h**2. Let k(t) = 0. Calculate t.
-1, 2
Let x(k) be the third derivative of k**6/160 + k**5/40 + k**4/32 - 22*k**2. Factor x(w).
3*w*(w + 1)**2/4
Let b = 134 - 1204/9. Factor 2/9*f**2 + 4/9*f + 0 - b*f**3.
-2*f*(f - 2)*(f + 1)/9
Let x be 0/(-1*(-4)/2). Factor -1 + 4*d + x - 2*d**2 - 1.
-2*(d - 1)**2
Let h(c) = 15*c**2 + 10*c - 8. Let p be h(1). Find b, given that -77*b**4 - p*b + 2 - 147/4*b**5 + 75/2*b**2 + 65/4*b**3 = 0.
-2, -1, 2/7, 1/3
Determine o so that 4/3 + 2/3*o**2 + 2*o = 0.
-2, -1
Let c(v) be the first derivative of -16*v**5/35 + 6*v**4/7 - v**3/21 - 3*v**2/7 - v/7 + 10. Factor c(k).
-(k - 1)**2*(4*k + 1)**2/7
Let s(c) be the first derivative of c**7/210 - c**6/45 + c**3/3 + 5. Let d(m) be the third derivative of s(m). Determine r so that d(r) = 0.
0, 2
Let g(o) = -o**2 - 4*o + 12. Let q be g(-6). Factor 1/3 + 2/3*s - 1/3*s**4 - 2/3*s**3 + q*s**2.
-(s - 1)*(s + 1)**3/3
Let s(m) be the third derivative of -m**8/5040 + m**7/630 - m**5/10 - 6*m**2. Let h(j) be the third derivative of s(j). Factor h(p).
-4*p*(p - 2)
Let r = -574 - -574. Solve 2/11*d**3 + 0*d**2 - 2/11*d + r = 0 for d.
-1, 0, 1
Let i be (44/88)/((-2)/(-6)). Factor -2*s**2 - s + i*s**4 + s**3 + 1/2.
(s - 1)*(s + 1)**2*(3*s - 1)/2
Let j(h) be the second derivative of h**5/180 + h**4/36 + 3*h**2 - 5*h. Let l(n) be the first derivative of j(n). What is c in l(c) = 0?
-2, 0
Let s(a) be the second derivative of -a**6/600 + a**5/300 + a**2 + 3*a. Let n(c) be the first derivative of s(c). Factor n(p).
-p**2*(p - 1)/5
Let d(c) be the second derivative of 0*c**2 + 2/21*c**7 + 0 + 8/3*c**3 - 4/5*c**6 - 4*c**4 + 7*c + 13/5*c**5. Solve d(v) = 0.
0, 1, 2
Let i(x) be the second derivative of x**7/84 - 3*x**5/40 + x**4/12 + 2*x. Factor i(v).
v**2*(v - 1)**2*(v + 2)/2
Let r(o) = o**3 + 4*o**2 - 6*o - 2. Let c be r(-5). Let n be (-6*(-4)/6)/(9 - 3). Factor 2/3*h**4 + n*h**2 + 0 + 0*h + 4/3*h**c.
2*h**2*(h + 1)**2/3
Let r(a) = -3*a**4 + 4*a**3 + 3*a**2 - 2. Let p(m) = 16*m**4 - 21*m**3 - 16*m**2 - m + 11. Let o(k) = -4*p(k) - 22*r(k). Let o(u) = 0. Calculate u.
-1, 0, 1, 2
Let n(z) be the first derivative of 0*z + 0*z**3 + 2 + 1/90*z**5 - 1/315*z**7 - z**2 + 0*z**6 + 0*z**4. Let h(l) be the second derivative of n(l). Factor h(c).
-2*c**2*(c - 1)*(c + 1)/3
Let f(w) be the second derivative of 3*w**5/20 - w**4/2 - w**3/2 + 3*w**2 - 2*w. What is i in f(i) = 0?
-1, 1, 2
Let f(t) be the first derivative of -t**3/6 - 3*t**2/2 - 9*t/2 - 5. Find p, given that f(p) = 0.
-3
Let q be 7/2*188/141. Suppose 4/3*v**4 - 2/3*v**5 + 4/3*v**3 + q*v - 16/3*v**2 - 4/3 = 0. What is v?
-2, 1
Let m(j) be the second derivative of 13*j**5/6 - 49*j**4/18 - 20*j**3/9 + 4*j**2/3 + 21*j. Let m(o) = 0. What is o?
-2/5, 2/13, 1
What is z in 1 + 6/5*z + 1/5*z**2 = 0?
-5, -1
Let p = 341/5 + -68. Suppose 4*i + 2*m = 24, 32 = -i + 4*i + 5*m. Suppose -3/5*k + 2/5*k**3 - 2/5*k**2 + 3/5*k**i - p + 1/5*k**5 = 0. What is k?
-1, 1
Let h be (10 + 8)*(-2)/(-42). Determine u so that 8/7 + h*u**2 + 16/7*u = 0.
-2, -2/3
Suppose 0 = -3*v + 4*v. Let l be 4/26 + (-40)/(-78). Solve v - l*m - 1/3*m**2 = 0.
-2, 0
Let d be (-13)/(-4) - 11/44. Let s be 2 - 0/(0 - 2). Factor 2*w + 2*w**4 + w**2 - 3*w**s - 6*w**d + 2*w**3 + 2*w**3.
2*w*(w - 1)**2*(w + 1)
Let h(l) = 4*l**3 - 3*l + 17. Suppose -2*t + 2 = -a, 4 = -4*a + 3*t + 11. Let s(i) = i**3 - i + 4. Let f(d) = a*h(d) - 18*s(d). Factor f(b).
-2*(b - 1)**2*(b + 2)
Let l(w) be the first derivative of w**6/24 + w**5/4 + 9*w**4/16 + 7*w**3/12 + w**2/4 + 10. Suppose l(g) = 0. Calculate g.
-2, -1, 0
Let p(s) be the first derivative of s**8/1344 - s**7/420 + s**5/120 - s**4/96 + 2*s**2 + 1. Let l(t) be the second derivative of p(t). Let l(d) = 0. What is d?
-1, 0, 1
Factor -5/7*w**2 + 0 + 2/7*w + 3/7*w**3.
w*(w - 1)*(3*w - 2)/7
Let 2/5*c**2 + 6/5 - 8/5*c = 0. Calculate c.
1, 3
Let w(r) be the second derivative of -r**7/63 + r**6/45 + r**5/10 - r**4/18 - 2*r**3/9 + 11*r. Suppose w(h) = 0. What is h?
-1, 0, 1, 2
Let n = 26 - 224/9. Suppose -n*c**3 - 10/9*c**2 + 4/9 + 10/9*c + 2/3*c**4 = 0. Calculate c.
-1, -1/3, 1, 2
Let u(j) = 5*j - 3. Let z be u(1). Factor 0*l**z + 0 + 0*l**4 - 1/5*l**3 + 0*l + 1/5*l**5.
l**3*(l - 1)*(l + 1)/5
Let r(i) be the first derivative of 0*i + 2 + 1/18*i**3 + 1/6*i**2. Factor r(x).
x*(x + 2)/6
What is p in -2 - 1/2*p**2 + 2*p = 0?
2
Let s(r) = r**2 - 1. Let b(m) = -2*m**2 - 4*m + 0*m + 10 - 14*m**2 - 2*m. Let n(h) = b(h) + 6*s(h). Factor n(d).
-2*(d + 1)*(5*d - 2)
Suppose -4*g + 16 = -3*m, m + 5*g - 26 + 6 = 0. Solve m - 1/6*x**3 - 1/6*x**2 + 1/3*x = 0 for x.
-2, 0, 1
Let h(j) = 2*j**2 + 2 + 2*j - 3*j**2 + 5*j**2 - 3*j**2. Let n be h(-2). Suppose -2/5*m**n + 2/5*m**4 - 2/5*m + 2/5*m**3 + 0 = 0. What is m?
-1, 0, 1
Let c(d) be the first derivative of d**7/70 + 3*d**6/40 + 3*d**5/20 + d**4/8 + 3*d**2/2 - 2. Let y(s) be the second derivative of c(s