 9/14 + 1/42. Suppose 2/3*b**3 - 2/3*b - 2/3 + q*b**2 = 0. Calculate b.
-1, 1
Suppose 2*c - 1 = 7. Let a = 3 + -3. Solve -4*o**2 + c*o**4 + 2*o + a*o**4 - 4*o**5 + 2*o**5 = 0 for o.
-1, 0, 1
Let c(i) = 2*i**2 - 7*i - 5. Let v(a) be the third derivative of a**5/30 - a**4/3 - a**3 - a**2. Let q(m) = -6*c(m) + 5*v(m). Factor q(u).
-2*u*(u - 1)
Let j be 4/120 - 0/(-3). Let g(b) be the second derivative of b + 1/15*b**3 + 0 + j*b**4 + 0*b**2. Solve g(o) = 0.
-1, 0
Suppose 3*z - 1 = -4*l - 3, 0 = 3*z + l - 13. Let p be (1*-3)/((-3)/2). Factor 4*w - 2/3*w**p - z.
-2*(w - 3)**2/3
Let t = -1/52 - -35/468. Let w(u) be the third derivative of -1/60*u**5 + 0*u + 0 + 1/360*u**6 + u**2 - t*u**3 + 1/24*u**4. Factor w(v).
(v - 1)**3/3
Let k be (1 + 2)*(24 + -23). Suppose 4/3*w + 2/3*w**4 - 4/3*w**k - 2/3 + 0*w**2 = 0. Calculate w.
-1, 1
Let o(z) = -z**3 - z**2 + 2*z + 2. Let x be o(-2). Suppose 0 = -x*l - 3*l + 15. Let -1 + 6*i + 1 + 2*i**l + 6*i**2 + 2 = 0. Calculate i.
-1
Let z(q) = -q**3 + 4*q**2 - 2*q - 1. Let x be z(3). Suppose -2*j**x + 9*j - 6 - 5*j**2 + 4*j**2 = 0. What is j?
1, 2
Let h(y) be the third derivative of -y**7/840 - y**6/40 - 9*y**5/40 - y**4/8 + 3*y**2. Let f(v) be the second derivative of h(v). Factor f(i).
-3*(i + 3)**2
Factor 16 - 32*p + 2*p**3 + 24*p**2 - 10*p**3 + 0*p**3 + p**4.
(p - 2)**4
Let f = 224 + -640/3. Factor f*n**3 + 2/3*n + 16/3*n**2 + 0.
2*n*(4*n + 1)**2/3
Let k(p) be the second derivative of -p**5/20 - p**4/8 + 2*p**2 + 2*p. Let w(q) be the first derivative of k(q). What is c in w(c) = 0?
-1, 0
Let h be ((-59)/(-118))/((-14)/(-4)). Determine o so that 0 + 3/7*o**2 + 4/7*o**3 - h*o = 0.
-1, 0, 1/4
Let n(m) be the second derivative of m**8/5880 - m**7/980 + m**6/630 + m**3/6 + 4*m. Let g(q) be the second derivative of n(q). Let g(w) = 0. Calculate w.
0, 1, 2
Let n be (-34)/10 - 5/(5/(-4)). What is s in 3/5*s - n*s**4 + 0 - 3/5*s**3 + 3/5*s**2 = 0?
-1, 0, 1
Let u(h) = 3*h**2 - 4*h - 7. Let w(c) = c + 1. Let t(n) = u(n) - 5*w(n). Factor t(a).
3*(a - 4)*(a + 1)
Let l be 63/(-6)*4/10. Let z = l + 73/15. Factor -z*c**3 - 2/3*c**2 + 0 + 0*c.
-2*c**2*(c + 1)/3
Let i(j) be the third derivative of 8*j**2 + 1/210*j**5 + 0*j**3 + 0*j**4 + 1/420*j**6 + 0*j + 0 - 1/1176*j**8 - 1/735*j**7. Solve i(d) = 0 for d.
-1, 0, 1
Let m(d) be the third derivative of -d**6/360 + d**4/24 - d**3/9 - 9*d**2. Find c, given that m(c) = 0.
-2, 1
Let z = 4 - 3. Suppose -4*q**2 + 3 + z + 5*q**2 - 10*q + 5*q**2 = 0. Calculate q.
2/3, 1
Solve 104*y**2 + 9*y**2 - 40*y**3 - 160*y + 8*y**4 + 64 - 4*y**4 + 19*y**2 = 0 for y.
1, 4
Let s(c) = c**3 - 2*c**2 + 2*c - 3. Let y be s(2). Let w be 3*(0 + 0 + y). Factor -d**2 + 4*d - 1 - 1 + 2*d**2 - w*d**2.
-2*(d - 1)**2
Let b = 53/2 + -26. Let z(x) be the first derivative of -b*x**4 - x**2 - 4/3*x**3 - 2 + 0*x. Suppose z(i) = 0. What is i?
-1, 0
Let w be (-10)/(-15) - 2534/(-6). Let c = 3823/9 - w. Suppose c*h**3 - 2/9*h**2 + 0 - 4/9*h - 10/9*h**4 = 0. Calculate h.
-2/5, 0, 1
Let b(k) = 4*k**5 - 4*k**4 - k**3 - 13*k**2 - 3*k + 3. Let r(t) = 3*t**5 - 3*t**4 - 12*t**2 - 3*t + 3. Let d(j) = -6*b(j) + 7*r(j). Factor d(z).
-3*(z - 1)**3*(z + 1)**2
Let k(c) be the first derivative of c - 2/21*c**4 + 1/70*c**5 - 2/7*c**2 + 1 + 5/21*c**3. Let m(v) be the first derivative of k(v). Factor m(a).
2*(a - 2)*(a - 1)**2/7
Let a = -7 + 9. Let w(n) = n**4 - 6*n**3 - 7*n**2 - 4*n - 2. Let k(x) = 2*x**4 - 7*x**3 - 8*x**2 - 5*x - 3. Let i(o) = a*k(o) - 3*w(o). Let i(u) = 0. What is u?
-2, -1, 0
Let c(h) be the second derivative of -h**6/15 + 3*h**5/10 - h**4/6 - h**3 + 2*h**2 - 16*h. Factor c(v).
-2*(v - 2)*(v - 1)**2*(v + 1)
Let g = 349 + -347. Let w = 32/5 + -49/10. Determine l so that 3/2*l + 1/2*l**3 + 1/2 + w*l**g = 0.
-1
Suppose -6*f - 20 = -32. Factor -4/11 - 6/11*t - 2/11*t**f.
-2*(t + 1)*(t + 2)/11
Let z = 2/23 - 40/989. Let d = 899/86 + z. Let -d*l**4 - 6*l**5 + 3*l**3 - 3/2 + 12*l**2 + 3*l = 0. Calculate l.
-1, 1/4, 1
Suppose 14*c - 11*c = 12. Suppose -5/2*t**c + 3/2*t**3 - 3/2*t + 7/2*t**2 - 1 = 0. What is t?
-1, -2/5, 1
Let f(g) = -10*g - 1. Let u be f(-1). Let o = -6 + u. Solve -1/4*s + 1/4*s**o + 0*s**2 + 0 = 0.
-1, 0, 1
Let c(m) be the first derivative of m**6/33 + 14*m**5/55 + 13*m**4/22 - 2*m**3/11 - 18*m**2/11 - 20. Suppose c(d) = 0. Calculate d.
-3, -2, 0, 1
Let k(p) be the first derivative of p**4/18 - 2*p**3/27 + 3. Factor k(v).
2*v**2*(v - 1)/9
Let j be 3 + -2 - (-9)/(-15). Factor -j*i**3 - 2/5*i**2 + 0 + 4/5*i.
-2*i*(i - 1)*(i + 2)/5
Let r(t) = -3*t**4 - 16*t**3 + 16*t + 8. Let b(z) = 20*z**4 + 104*z**3 - 104*z - 52. Let a(u) = -5*b(u) - 32*r(u). Let a(j) = 0. Calculate j.
-1, 1
Suppose -2*g + 15 = 3*g. Let d(s) = -9*s**2 + 7*s - 13. Let t(h) = -5*h**2 + 3*h - 7. Let j(i) = g*d(i) - 5*t(i). Factor j(p).
-2*(p - 2)*(p - 1)
Let d be (3 - 0/3) + 1. Suppose 3 - 10 = -d*z + 3*u, -5*z + u + 17 = 0. Solve -z*i + 2*i**2 - i**2 + 3*i = 0 for i.
0, 1
Determine z so that -42/5*z**2 + 46/5*z + 2/5*z**4 - 16/5 + 2*z**3 = 0.
-8, 1
Find z, given that -4/3*z**3 + 8/3 + 20/3*z + 4*z**2 - 4/3*z**4 = 0.
-1, 2
Find c, given that 2/3*c**2 - 2/3 + 0*c = 0.
-1, 1
Suppose -17*r + 9*r = -24. Factor 0 + 2/7*i**r - 4/7*i**2 + 0*i.
2*i**2*(i - 2)/7
Suppose 265*v + 16 = 273*v. Let z = 1 + 2. Factor -18/7*x**4 + 0*x - 54/7*x**z - 54/7*x**v - 2/7*x**5 + 0.
-2*x**2*(x + 3)**3/7
Let l be -3*(2 - (2 - -3)). Suppose 3*u + 3 = l. Solve -r**2 - u*r + 1 + 3*r**2 - r**2 = 0 for r.
1
Let q(c) = -c + 2. Let y be q(-6). Let f(l) = l**2 - 6*l + 3. Let a be f(6). Solve y*s + 69*s**2 + 14*s + a*s**2 - 128*s**4 + 2 + 32*s**3 = 0 for s.
-1/4, 1
Let i(g) be the second derivative of -2*g + 2/7*g**2 + 1/7*g**3 + 0 + 1/42*g**4. Factor i(d).
2*(d + 1)*(d + 2)/7
Let r = 3 + 1. Determine y so that -2/7*y**r + 0*y**3 + 0 + 6/7*y**2 + 4/7*y = 0.
-1, 0, 2
Suppose r - 4*r = 0. Suppose r = 3*x - 4*n - 20, -x + 4*n = -12 - 0. Factor -2/3*l**x + 0*l**2 + 0*l**3 + 0 + 0*l.
-2*l**4/3
Suppose -z = -h - 2*h + 13, -h = -z - 3. What is m in -8/3*m**4 + m**5 + 0 + 2*m**3 + 0*m**z - 1/3*m = 0?
-1/3, 0, 1
Suppose -6*g + g + 115 = 0. Suppose 2 = 5*u - g. Suppose -24*v**4 + 28*v**2 - v**u + 8*v**3 - 4 + 4*v + 2*v - 13*v**5 = 0. Calculate v.
-1, 2/7, 1
Let q be 2/(((-6)/9)/(-1)). Let u(h) be the first derivative of 2/3*h - 1 - 2/9*h**q + 0*h**2. Factor u(s).
-2*(s - 1)*(s + 1)/3
Let b(a) be the second derivative of a**7/3360 + a**6/480 + a**5/160 + a**4/96 + a**3/3 - 4*a. Let z(p) be the second derivative of b(p). Factor z(o).
(o + 1)**3/4
Let v(r) be the first derivative of 0*r - 3/2*r**2 - r**4 + r**5 - 1/3*r**3 + 2. Let q(l) = 4*l**4 - 4*l**3 - 2*l. Let w(k) = -3*q(k) + 2*v(k). Factor w(x).
-2*x**2*(x - 1)**2
Suppose -6*z = -28 + 10. Suppose 15 = 5*a - j - 17, 2*a - 5*j - 22 = 0. Suppose 2 - 6 + 11*r - a*r**2 + 2*r**4 - 2*r**z - r = 0. What is r?
-2, 1
Let h(g) = -69*g**2 - 16*g. Let s(r) = 34*r**2 + 8*r. Let w(f) = 6*h(f) + 13*s(f). Factor w(b).
4*b*(7*b + 2)
Let f(l) be the third derivative of l**5/240 - l**4/24 + l**3/6 - 10*l**2. Factor f(i).
(i - 2)**2/4
Factor -8/11 + 2/11*h**2 - 6/11*h.
2*(h - 4)*(h + 1)/11
Let v(l) be the second derivative of l**7/63 - l**5/5 + 4*l**4/9 - l**3/3 + 15*l. Factor v(p).
2*p*(p - 1)**3*(p + 3)/3
Let p = -13 - -21. Let n be (13 - p)*(-3)/(-10). Factor r**2 + n*r - 1.
(r + 2)*(2*r - 1)/2
Let o(i) = i**2. Let g(u) = 2*u**3 - 17*u**2 + 6*u - 2. Let a(j) = 2*g(j) + 22*o(j). Factor a(p).
4*(p - 1)**3
Let f = 38 + -303/8. Let d(b) be the second derivative of 1/40*b**5 + 0 + 1/4*b**3 + b - f*b**4 - 1/4*b**2. Let d(u) = 0. What is u?
1
Let b be 7 + (-3)/(-6)*-6. Suppose 0*n = b*n - 8. Factor 6/5*z + 4/5 + 2/5*z**n.
2*(z + 1)*(z + 2)/5
Let -4*s**2 - 9 - 37 + 28*s - 2 = 0. Calculate s.
3, 4
Suppose 4*i = -0*i + 12. Factor -v**5 + 4*v**4 - v**i - 2*v**4 + 1 - 1.
-v**3*(v - 1)**2
Let h = -301 + 301. Factor 1/2*n + h - 1/4*n**4 + 0*n**3 + 3/4*n**2.
-n*(n - 2)*(n + 1)**2/4
Let d(j) be the second derivative of -2*j**6/15 - j**5 - 3*j**4 - 14*j**3/3 - 4*j**2 + 7*j. Factor d(w).
-4*(w + 1)**3*(w + 2)
Suppose 2*z - 12 = -4. Factor 2/3*m**3 - 1/3*m**5 - 1/3*m + 1/3*m**z - 2/3*m**2 + 1/3.
-(m - 1)**3*(m + 1)**2/3
Factor 2/7*t - 1/7*t**3 - 1/7*t**2 + 0.
-t*(t - 1)*(t + 2)/7
Let y(h) be the second derivative of -3*h**5/10 + 7*h**4/6 + 2*h**3 + 4*h. What is u in y(u)