- c*n = -3, 8*u = 3*u - n + 1. Factor -2/9*k**5 + u + 0*k - 2/9*k**2 + 2/9*k**3 + 2/9*k**4.
-2*k**2*(k - 1)**2*(k + 1)/9
Suppose 0 = -2*i + 1 + 5. Let z be i/(-6) + 6/4. Let k(d) = d**2 + 1. Let p(u) = -2*u**2 + u - 3. Let b(j) = z*p(j) + 3*k(j). Factor b(m).
m*(m + 1)
Suppose -1 = -2*x + x. Let s(q) = q - 1. Let j(a) = 21*a**2 - 32*a - 16. Let d(n) = x*j(n) - 4*s(n). Let d(h) = 0. What is h?
-2/7, 2
Let w(h) be the first derivative of 0*h**2 - 1/6*h**4 + 4 - 1/30*h**5 - 2/9*h**3 + 4*h. Let t(d) be the first derivative of w(d). Factor t(i).
-2*i*(i + 1)*(i + 2)/3
Let k(s) be the third derivative of 1/84*s**4 + 0 + 0*s**3 + 0*s - 1/84*s**5 - 1/120*s**6 - 2*s**2. Let k(u) = 0. Calculate u.
-1, 0, 2/7
Let i be 5 + (-13)/2 + 25/14. Let m = -236/7 + 34. Solve -2/7*d + m - 2/7*d**2 + i*d**3 = 0 for d.
-1, 1
Let g(t) be the third derivative of 0*t + 1/180*t**6 - 1/36*t**4 + 0*t**3 + 0 + 1/90*t**5 - 7*t**2 - 1/315*t**7. Solve g(m) = 0 for m.
-1, 0, 1
Let p be 17/5 - 12/30. Let n = -10 - -10. Let n - q**2 + 0*q**p + 1/2*q**5 - 1/2*q + q**4 = 0. Calculate q.
-1, 0, 1
Let u(t) be the third derivative of -t**6/120 - 8*t**2. Let u(j) = 0. What is j?
0
Let r(c) = 3*c**2 - 27*c + 3. Let a be r(9). Factor -1/2*f**4 + 1/2*f**2 + f + 0 - f**a.
-f*(f - 1)*(f + 1)*(f + 2)/2
Let n(k) = -3*k - 3. Let b(s) = -s + 2. Let o be b(4). Let r be n(o). Factor 0*j + 1/3*j**2 + 1/3*j**4 + 0 - 2/3*j**r.
j**2*(j - 1)**2/3
Let s(x) be the third derivative of 0*x + 4/3*x**3 + 0 + 1/15*x**5 - 1/2*x**4 - 2*x**2. Let y(l) = 6*l**2 - 18*l + 12. Let r(p) = -8*s(p) + 5*y(p). Factor r(q).
-2*(q - 2)*(q - 1)
Let r(q) = -3*q**2 + 2*q. Let z(f) = -f**2 - f - 1. Let m(b) = r(b) - 2*z(b). Let c be m(4). Let -3*t**2 + 3*t - 2*t + 4*t**c = 0. What is t?
-1, 0
Let m be -3 - (-28)/8 - 20/(-8). Factor 5/2*v**4 + 0 + 0*v**2 + v**m + 3/2*v**5 + 0*v.
v**3*(v + 1)*(3*v + 2)/2
Determine j so that j**2 - j + 2*j - j**2 - j**2 = 0.
0, 1
Let b(u) = u - 2. Let c be b(8). Let n(i) be the third derivative of 1/60*i**c + 0*i + 0*i**3 - 2*i**2 + 1/84*i**4 + 1/42*i**5 + 0 + 1/245*i**7. Factor n(h).
2*h*(h + 1)**2*(3*h + 1)/7
Let q(t) be the third derivative of t**8/16 + 33*t**7/70 + 53*t**6/40 + 31*t**5/20 - 2*t**3 + 6*t**2. Factor q(n).
3*(n + 1)**3*(n + 2)*(7*n - 2)
Let y be ((-14)/14)/(1*-2). Let j(v) be the first derivative of y*v**4 + 0*v - 1 + 0*v**2 + 0*v**3. Factor j(b).
2*b**3
Let f(x) be the second derivative of -x**7/840 - x**6/360 - 2*x**3/3 - 2*x. Let t(l) be the second derivative of f(l). Factor t(d).
-d**2*(d + 1)
Let v be (-76)/(-8) - (-2)/4. Let a = -16 - -30. What is k in -4*k**2 + a*k - 7*k + 4 - v*k**3 + 3*k = 0?
-1, -2/5, 1
Let o = -1 + 0. Let b be ((-1)/(-7)*-2)/o. Let b*v**2 - 2/7*v - 2/7*v**4 + 0 + 2/7*v**3 = 0. Calculate v.
-1, 0, 1
Find y, given that 1/4 - 1/4*y**2 + 0*y = 0.
-1, 1
Let -3/5*g**3 - 27*g**4 + 15*g**5 - 72/5*g + 123/5*g**2 + 12/5 = 0. What is g?
-1, 2/5, 1
Let h(l) be the first derivative of 8*l + 7 + 16*l**2 - 25/2*l**4 + 10/3*l**3. Suppose h(r) = 0. What is r?
-2/5, 1
Suppose 14 = -4*n - 5*c + 5, 0 = -2*n + c + 13. Let j be (2/n)/((-15)/(-12)). Factor 0 + 4/5*g + j*g**2.
2*g*(g + 2)/5
Let x(n) be the first derivative of -n**6/180 - n**5/15 - n**4/4 + 8*n**3/3 + 5. Let z(b) be the third derivative of x(b). Find h, given that z(h) = 0.
-3, -1
Factor -2*r**2 - 6*r**2 + 4*r + 7*r**2.
-r*(r - 4)
Factor 0 + 0*k - 1/4*k**2 - 1/4*k**3.
-k**2*(k + 1)/4
Let d(l) = 4*l**2 + 6*l + 1. Let s be d(-4). Suppose 4*v + s = 5*h, 5*v - 3 = 2. Factor -h*m**3 - 5*m**5 - 2*m**2 + m**4 + 0*m**5 - 13*m**4.
-m**2*(m + 1)**2*(5*m + 2)
Let q(t) = -4*t**3 + 8*t**2 - 17*t + 13. Let z(s) be the first derivative of 1/2*s**4 - 3 - 6*s - 4/3*s**3 + 4*s**2. Let p(l) = 6*q(l) + 13*z(l). Factor p(j).
2*j*(j - 1)**2
Let h(z) be the third derivative of 49*z**7/255 - 441*z**6/340 + 161*z**5/85 - 65*z**4/51 + 8*z**3/17 - 2*z**2. Suppose h(d) = 0. What is d?
2/7, 3
Let b = 11 + -8. Let z(g) be the first derivative of -1/8*g**2 + 1 + 1/4*g - 1/12*g**b + 1/16*g**4. Let z(r) = 0. Calculate r.
-1, 1
Let u(q) be the first derivative of q**6/120 - q**4/24 - 5*q**2/2 - 1. Let t(x) be the second derivative of u(x). Solve t(s) = 0 for s.
-1, 0, 1
Let a(x) = 7*x**3 - 5*x**2 + 5*x - 7. Let b(g) = 4*g - 19*g**3 + 10*g**2 + 4*g**2 + 20 - g**3 - 18*g. Let y(j) = -17*a(j) - 6*b(j). Factor y(z).
(z - 1)*(z + 1)**2
Let c = -8/5597 + 3817194/27985. Let h = c + -136. Factor 0*n**2 + 8/5*n**3 - 6/5*n - h.
2*(n - 1)*(2*n + 1)**2/5
Factor 1/2*r + 1/4 + 1/4*r**2.
(r + 1)**2/4
Let i(b) = -3*b**2 + b + 3. Let a(q) = 3*q**2 - q - 4. Let l be (-8)/(-28) + 52/14. Let f(z) = l*i(z) + 3*a(z). Determine r, given that f(r) = 0.
0, 1/3
Let 3/7*q**4 + 3/7 - 12/7*q**3 + 18/7*q**2 - 12/7*q = 0. Calculate q.
1
Solve 3*a**3 + 3*a + 1/2*a**4 + 0 + 11/2*a**2 = 0 for a.
-3, -2, -1, 0
Factor 26*p - 12*p**3 + 6*p**2 + 1334 + 10*p - 3*p**4 - 1361.
-3*(p - 1)**2*(p + 3)**2
Let f(d) be the second derivative of d**6/360 - d**4/24 - 2*d**3/3 - 6*d. Let z(g) be the second derivative of f(g). Solve z(b) = 0 for b.
-1, 1
Let z(g) be the third derivative of 0*g + 1/6*g**3 + 0 + 2*g**2 + 1/60*g**6 + 1/210*g**7 - 1/336*g**8 - 1/30*g**5 - 1/24*g**4. Factor z(t).
-(t - 1)**3*(t + 1)**2
Factor -210*s**2 - 106*s**4 - 80*s**5 - 365*s**3 - 93*s**4 - 81*s**4 - 32*s - 13*s.
-5*s*(s + 1)**2*(4*s + 3)**2
Let n(d) be the third derivative of -d**6/480 - d**5/90 + 5*d**4/96 - d**3/18 + 2*d**2 + 30*d. Factor n(l).
-(l - 1)*(l + 4)*(3*l - 1)/12
Suppose 11 + 1 = 5*p + 2*f, -4*f = 16. Let 6*k**2 + 101*k**p - 7 - 1 + 8*k - 4*k**3 - 103*k**4 = 0. Calculate k.
-2, 1
Let h = 11 + -11. Factor 9*n**3 - 7*n**3 - 2*n**4 + h*n**3.
-2*n**3*(n - 1)
Let k = -49/12 + 13/3. Factor -1 + o - k*o**2.
-(o - 2)**2/4
Let x be 0*((-6)/4)/(-3). Let y(t) be the third derivative of -1/120*t**6 - 1/10*t**5 - 4/3*t**3 + 0*t - t**2 - 1/2*t**4 + x. Let y(o) = 0. Calculate o.
-2
Factor -1/4*j**2 + 1/4*j + 1/2.
-(j - 2)*(j + 1)/4
Let n be (5 + 3 - 8)/(3 + 0). Suppose -6*z**2 + n*z - 18*z**3 + 0 - 27/2*z**4 = 0. What is z?
-2/3, 0
Let n(z) = -z**3 - 5*z**2 - 6*z - 1. Let w be n(-4). Factor -w*u**4 + 9*u**4 - 4*u**4.
-2*u**4
Let x(o) be the third derivative of -o**5/12 + 65*o**4/12 - 845*o**3/6 + 2*o**2 + 15*o. Factor x(g).
-5*(g - 13)**2
What is c in -3/2*c**3 + 0*c - c**2 + 0 - 1/2*c**4 = 0?
-2, -1, 0
Let g(x) = 4*x**2 - x - 1. Let z(c) = 5*c**2 - 1. Let p(i) = -4*g(i) + 3*z(i). Let d be p(3). Solve -4/7*k**d + 10/7*k**3 - 10/7*k**5 + 0 + 0*k + 4/7*k**2 = 0.
-1, -2/5, 0, 1
Let v be -1 + (-7)/(7/3). Let z be 6/(-4) + (-6)/v. Determine j, given that z*j - 2/3*j**2 - 4/3*j**3 + 0 - 2/3*j**4 = 0.
-1, 0
Let h = 0 - -4. Suppose -3*n = -2 - h. Factor -2*k**3 - 3*k**5 + 2*k**5 - n*k**4 + k**3.
-k**3*(k + 1)**2
Let k(o) be the first derivative of 28*o**6/33 + 138*o**5/55 + 41*o**4/22 - 2*o**3/3 - 9*o**2/11 + 4*o/11 + 11. Solve k(h) = 0 for h.
-1, 1/4, 2/7
Suppose 2*u = -u + 9. Solve -j + 0 - j**2 - u + 5 = 0 for j.
-2, 1
Let d(t) be the second derivative of -t**6/15 - t**5/10 + 8*t. Factor d(p).
-2*p**3*(p + 1)
Let a(g) be the third derivative of -g**8/336 + g**7/210 + g**3/6 - 3*g**2. Let o(i) = -3*i**5 - i**3 + 2. Let j(k) = 2*a(k) - o(k). Solve j(t) = 0.
-1, 0
Determine n, given that 0 - 4/5*n + 2/5*n**2 = 0.
0, 2
Let l(t) = t - 1. Let q be l(3). What is i in 2*i**3 - 3*i + i**q + 3*i + i**2 = 0?
-1, 0
Suppose 4*l = -g + 3*g + 12, -2*l - g = -2. Factor 0 - 3*c - 3/2*c**l.
-3*c*(c + 2)/2
Solve 2/13*i**2 - 4/13*i - 6/13 = 0.
-1, 3
Suppose -3*s - 14 = -5*c, -2*s - 5*c = -18 - 6. Suppose 0*q - 1/2*q**3 + q**s + 0 = 0. What is q?
0, 2
Let i = -1969/9 + 219. Factor -4/9 + i*f**2 + 2/9*f.
2*(f - 1)*(f + 2)/9
Let s(l) be the second derivative of l**4/12 + l**3/6 + 7*l. Factor s(h).
h*(h + 1)
Suppose o = -o + o. Solve o - 4/3*u**2 + 0*u = 0 for u.
0
Let z(p) be the third derivative of -p**6/24 + p**5/4 - 5*p**4/12 - 6*p**2. Solve z(x) = 0.
0, 1, 2
Factor 0 + 5/3*h**2 + 10/3*h.
5*h*(h + 2)/3
Let k(b) = 10*b**2 + 14*b - 12. Let f(t) = t**2 + t. Let v(d) = -6*f(d) + k(d). Factor v(o).
4*(o - 1)*(o + 3)
Let n(c) be the third derivative of -c**7/42 - c**6/24 + c**5/16 + 5*c**4/24 + 5*c**3/24 + 8*c**2. Let n(p) = 0. What is p?
-1, -1/2, 1
Factor 0*g**2 + 0*g**2 + 507 - 32*g - 46*g + 3*g**2.
3*(g - 13)**2
Let x(n) = -n**5 - 