7 + 4*f**3/21 + 5*f**2/7 + 4*f/7 - 56. Suppose d(i) = 0. Calculate i.
-2, -1, 1
Let j be (8/10)/(4 - (-12)/(-4)). Suppose 4 = -z + 7. Determine s, given that 0 + j*s**2 - 9/5*s**5 - 6/5*s**4 - 4/5*s + 11/5*s**z = 0.
-1, 0, 2/3
Suppose -18 = -5*w + 2*w. Let k = w - 4. Find z, given that -2*z - z**k + 0*z + 2 - 4*z + 5*z = 0.
-2, 1
Suppose -i**3 - 1/3*i**5 - i**4 + 0*i - 1/3*i**2 + 0 = 0. Calculate i.
-1, 0
Let m(s) be the first derivative of -s**6/135 - s**5/90 + s**4/54 + s**3/27 - 4*s + 3. Let x(l) be the first derivative of m(l). Find g such that x(g) = 0.
-1, 0, 1
Let q(h) = -h - 3. Let a be q(-4). Let t = 4/3 - a. Factor -1/3*i**4 + 0 + 1/3*i**2 + 0*i - 1/3*i**3 + t*i**5.
i**2*(i - 1)**2*(i + 1)/3
Suppose 7*o = 5*o. Let t(a) be the third derivative of -2*a**2 + o*a**4 + 1/210*a**7 + 0*a - 1/60*a**5 + 0*a**6 + 0*a**3 + 0. Factor t(w).
w**2*(w - 1)*(w + 1)
Let z(k) be the second derivative of -k**5/35 + k**4/6 - k**3/7 - 15*k. Suppose z(p) = 0. What is p?
0, 1/2, 3
Let a be (1/(-15))/(23/989) - -3. Factor 2/15 + 4/15*c + a*c**2.
2*(c + 1)**2/15
Let l(s) be the second derivative of 1/35*s**5 + 0*s**4 + 0*s**2 + 0 - 1/147*s**7 + 1/105*s**6 + 0*s**3 - 5*s. Let l(p) = 0. What is p?
-1, 0, 2
Let o(r) = -r**5 - 3*r**4 + 3*r**2 - 4*r + 5. Let y(q) = 4*q**2 - q**5 - q**4 - q**4 - 3*q - 2*q**2 + 4. Let m(u) = -4*o(u) + 5*y(u). Factor m(w).
-w*(w - 1)**3*(w + 1)
Let o = -32/9 + 38/9. Factor 2/3*k - 2/3*k**2 + 2/3*k**4 - o*k**3 + 0.
2*k*(k - 1)**2*(k + 1)/3
Let k be -3 + 1 - (-5 - -5) - -2. Let x(y) be the second derivative of k + 1/54*y**4 + 1/27*y**3 - 1/90*y**5 + y + 0*y**2 - 1/135*y**6. Let x(m) = 0. What is m?
-1, 0, 1
Factor 128/7*w + 32/7 + w**3 + 58/7*w**2.
(w + 4)**2*(7*w + 2)/7
Let g(t) be the first derivative of t**4/12 - t**2/2 - 2*t + 1. Let c(y) be the first derivative of g(y). Factor c(h).
(h - 1)*(h + 1)
Let c = -8/7 + 103/84. Let l(h) be the third derivative of -1/24*h**4 - c*h**3 + 0 - 3*h**2 - 1/120*h**5 + 0*h. Let l(d) = 0. What is d?
-1
Let g(i) = -i**3 + i**2 - 1. Let b be g(-2). Let z = 16 - b. Find u, given that z*u**2 - 8*u**2 - 12 - 12*u + 0*u**2 + 0*u**2 = 0.
-2
Let x(b) be the second derivative of 3*b**5/20 + 9*b**4/4 + 15*b**3/2 - 75*b**2/2 - 13*b. Determine j so that x(j) = 0.
-5, 1
Let r(o) be the first derivative of -1/6*o**2 - 4/9*o**3 - 1/18*o**6 - 4/15*o**5 - 1/2*o**4 + 0*o - 1. Factor r(w).
-w*(w + 1)**4/3
Let k(g) = 2*g**2 + 14*g + 12. Let h be k(-8). Let n = 57/2 - h. Factor -q**3 + 0 - n*q**4 + 1/2*q**2 + q.
-q*(q - 1)*(q + 1)*(q + 2)/2
Let p(b) = -8*b**2 + 8*b + 1. Let f(y) = y**2 + 3*y - 3. Let z(n) = -2*n**2 - 4*n + 4. Let l(i) = 3*f(i) + 2*z(i). Let c(u) = 5*l(u) - p(u). Factor c(a).
3*(a - 2)*(a + 1)
Let p be -3 + (-114)/(-27) - 1. Suppose -4/9 - p*n + 2/9*n**2 = 0. Calculate n.
-1, 2
Suppose -2*j**3 + 5 + 4 - 9 - 4*j**2 = 0. What is j?
-2, 0
Let n = -64 - -68. Let o(z) be the second derivative of -2*z + 1/3*z**n + 1/6*z**3 - 3/20*z**5 - z**2 + 0. Factor o(h).
-(h - 1)**2*(3*h + 2)
Factor -3*b**4 + 2*b**2 + 3*b**2 - 2*b**2.
-3*b**2*(b - 1)*(b + 1)
Let l(w) = -3*w**3 - 6*w**2 + 20*w + 16. Suppose 10*p - 14*p = -32. Let f(q) = -q**3 - 2*q**2 + 7*q + 5. Let s(v) = p*f(v) - 3*l(v). Let s(i) = 0. Calculate i.
-2, 2
Solve -u**2 + u**2 - 213 + 33 - 5*u**2 - 60*u = 0 for u.
-6
Let j(r) be the second derivative of r**4/90 + 2*r**3/15 + 3*r**2/5 + 11*r. Factor j(p).
2*(p + 3)**2/15
Let u(v) be the second derivative of -v**7/40 - 3*v**6/40 - v**5/20 + 5*v**3/6 - v. Let a(m) be the second derivative of u(m). Factor a(l).
-3*l*(l + 1)*(7*l + 2)
Let z(n) = n**3 - n**2 - 2*n. Let o(t) = 8*t**3 - 9*t**2 - 16*t. Let r(y) = 6*o(y) - 51*z(y). Factor r(u).
-3*u*(u - 1)*(u + 2)
Suppose 1 = -3*s + a + 6, -s - 15 = 3*a. Factor s*i**4 + 1/2*i**5 + 0*i**2 - i**3 + 1/2*i + 0.
i*(i - 1)**2*(i + 1)**2/2
Solve 7331 - 7331 + 2*u**4 + 10*u**3 = 0 for u.
-5, 0
Let y = 11/2 - 11/6. Factor -16/3*k**3 - 2/3*k - y*k**2 + 0 - 7/3*k**4.
-k*(k + 1)**2*(7*k + 2)/3
Let v(p) = -12*p**2 + 12*p + 12. Let f(n) = -25*n**2 + 24*n + 24. Let g(u) = 3*f(u) - 7*v(u). Let g(q) = 0. Calculate q.
-2/3, 2
Let o(a) be the third derivative of -a**6/540 - a**5/90 - a**4/54 - 6*a**2. Determine k so that o(k) = 0.
-2, -1, 0
Let f(c) be the second derivative of -c**4/4 + 3*c**3 - 15*c**2/2 - 21*c. Factor f(t).
-3*(t - 5)*(t - 1)
Let j(m) = 4*m**2 + 2*m + 1. Let q be j(-1). Determine n, given that n**q - n**2 + n**3 + 8*n - 7*n**2 = 0.
0, 2
Let g(s) be the third derivative of s**5/60 - 43*s**4/72 - 5*s**3/3 + 10*s**2 + 3*s. Factor g(r).
(r - 15)*(3*r + 2)/3
Suppose v + 4*n = 16, 3*v - 4*v + 20 = 5*n. Let o(u) be the first derivative of 0*u**3 - 2/5*u**5 + 1/2*u**4 + 3 + 0*u + v*u**2. Factor o(k).
-2*k**3*(k - 1)
Let m = 136756/163 - 839. Let w = m + 1143/326. Factor -r**3 + 9/2*r**4 + 0 - w*r**5 + 0*r**2 + 0*r.
-r**3*(r - 1)*(7*r - 2)/2
Let y(f) be the first derivative of f**4 - 4*f**3/3 - 6. Determine u, given that y(u) = 0.
0, 1
Let y be (-66)/56 - (1 - 2). Let b = y - -3/7. Factor 0 + b*x**2 - 1/4*x.
x*(x - 1)/4
Let t(y) be the first derivative of y**5/30 + y**4/4 + 5*y**3/18 - 24. Factor t(h).
h**2*(h + 1)*(h + 5)/6
Suppose 2*a - 14 = 2*k, -3*a - a - 2*k - 2 = 0. Let l be 6/(-18)*a*-3. Suppose l*v**4 - 2*v**2 + 2*v - 2*v**3 - 2 + 2 = 0. What is v?
-1, 0, 1
Let l(r) = -r**2 + 4*r. Let z be l(2). Let n(c) = -c**3 - 3*c**2 + 2. Let b be n(-3). Suppose b*p**3 + p + 0*p**z + p**3 - p**4 - 3*p**2 = 0. What is p?
0, 1
Let j(n) = 7 + n**2 - 5*n + 2 - 3. Let x be j(4). Let -k**5 - k**x - 2*k**4 + k - 3*k**5 + 3*k**5 + 3*k**2 = 0. What is k?
-1, 0, 1
Let z(o) be the first derivative of o**7/4200 - o**6/600 + o**5/300 + 7*o**3/3 + 3. Let h(n) be the third derivative of z(n). Let h(s) = 0. What is s?
0, 1, 2
Suppose 2*r + 2*r = 8. Let u = 0 - -5. Solve 0 + 0*f + 0*f**r - 2/3*f**3 - 1/3*f**4 + f**u = 0 for f.
-2/3, 0, 1
Suppose 4*m - 2 = 10. Let l(k) be the first derivative of -1 + 0*k + 0*k**2 - 1/10*k**4 + 0*k**m - 2/25*k**5. Factor l(o).
-2*o**3*(o + 1)/5
Let a(z) be the third derivative of 0*z**3 + 1/60*z**4 + 0 - 1/525*z**7 + 0*z + 1/150*z**5 - 1/300*z**6 - 5*z**2. Factor a(s).
-2*s*(s - 1)*(s + 1)**2/5
Suppose -4*g**3 - 2*g**5 - 4*g**5 - 2*g**5 + 10*g**5 + 2*g = 0. What is g?
-1, 0, 1
Let i(t) be the first derivative of 2 + 0*t + 0*t**2 + 1/8*t**4 - 1/10*t**5 + 1/6*t**3 - 1/12*t**6. Let i(b) = 0. Calculate b.
-1, 0, 1
Let d(b) = -b**3 - 11*b**2 - 9*b + 14. Let u be d(-10). Let n(p) = -p**2 + 2*p + 3. Let w(a) = a**2 - a - 2. Let s(f) = u*n(f) + 6*w(f). Factor s(l).
2*l*(l + 1)
Let t(z) be the first derivative of 2*z**2 + 1 - 4/3*z**3 + 4/3*z**6 + 0*z + 4/5*z**5 - 3*z**4. Find x, given that t(x) = 0.
-1, 0, 1/2, 1
Let m(g) be the first derivative of g**3/18 + g**2/6 - g/2 + 9. Factor m(o).
(o - 1)*(o + 3)/6
Let v = -10 + 8. Let n be (-4)/(-6)*(5 + v). Factor -2/5*x - 2/5 - 2/5*x**5 + 4/5*x**n - 2/5*x**4 + 4/5*x**3.
-2*(x - 1)**2*(x + 1)**3/5
Let u be -2 + -8 + 1206/117. Let -u*o**3 + 6/13*o - 2/13*o**5 + 6/13*o**4 - 2/13 - 4/13*o**2 = 0. Calculate o.
-1, 1
Suppose 4*o + x + 1 - 35 = 0, 0 = o + 4*x - 16. Factor -o + 2*f**4 + 6*f - 6*f**3 + 2*f**2 + 9 - 5.
2*(f - 2)*(f - 1)**2*(f + 1)
Let s(m) = m**2 + 4*m + 6. Let d(x) = 3*x**2 + 12*x + 17. Let u(v) = 3*d(v) - 8*s(v). Factor u(c).
(c + 1)*(c + 3)
Let o(n) be the first derivative of -2 + 0*n - 49/2*n**6 + 183/2*n**4 + 63/5*n**5 + 12*n**2 + 60*n**3. Solve o(d) = 0 for d.
-1, -2/7, 0, 2
Let b(l) be the first derivative of 0*l**4 + 3/5*l**5 + 0*l**2 - 2*l**3 + 3*l + 9. Solve b(x) = 0.
-1, 1
Let x(w) be the first derivative of w**5/25 - w**4/4 + 2*w**3/5 + 2*w**2/5 - 8*w/5 + 13. Factor x(l).
(l - 2)**3*(l + 1)/5
Let o(t) = t**3 - t**2 - 3*t - 1. Let k be o(3). Let q be 41/44 - 6/k. Factor 0*n**2 + 0 - 4/11*n**3 + 2/11*n**5 + 0*n**4 + q*n.
2*n*(n - 1)**2*(n + 1)**2/11
Determine u, given that -2*u - 12*u**2 - 18*u**3 - 3*u**5 - 9*u - 12*u**4 + 8*u = 0.
-1, 0
Let b(x) = -x**3 + 3*x**2 - 2. Let l be b(2). Factor -20 + a**3 + 20 + 0*a**2 + a + l*a**2.
a*(a + 1)**2
Factor -2/5*o**4 + 0 + 1/5*o**5 + 2/5*o**2 - 1/5*o**3 + 0*o.
o**2*(o - 2)*(o - 1)*(o + 1)/5
Determine y so that 1/3*y**4 + 2/3*y + 0*y**2 - 2/3*y**3 - 1/3 = 0.
-1, 1
Suppose -2*r - 60 = -20. Let s(i) = -i**2 - i. Let f(y) = -2*y**3 - 8*y**2 - 10*y. Let a(t) = r*s(t) + 2