third derivative of -n**7/210 - n**6/20 - 3*n**5/20 + 7*n**2. Factor j(v).
-v**2*(v + 3)**2
Let r = -188 - -190. Suppose 1/4*f**r - 1/2*f + 1/4 = 0. Calculate f.
1
Factor 12 + 2*o - 4*o**2 - 3*o + 9*o.
-4*(o - 3)*(o + 1)
Let v(q) = -q**4 + q**2 + q. Let n(b) = -5*b**5 - 30*b**4 + 15*b**3 + 30*b**2 + 15*b. Let j(i) = -n(i) + 25*v(i). Factor j(d).
5*d*(d - 1)**2*(d + 1)*(d + 2)
Let l(o) be the second derivative of o**7/252 + o**6/60 + o**5/60 - o**4/36 - o**3/12 - o**2/12 + 4*o. Let l(s) = 0. What is s?
-1, 1
Suppose 4*x + 0*x = 12. Factor -2*g**4 + 34*g**3 - 32*g**3 - 5*g**5 + x*g**5 + 2*g**2.
-2*g**2*(g - 1)*(g + 1)**2
Suppose -a + 3 = 2*a. Let r be 3/((2 - a)*1). Factor 0*y + 0 - 2/5*y**2 + 0*y**r + 2/5*y**4.
2*y**2*(y - 1)*(y + 1)/5
Determine i so that -i**4 + 1/2*i - 1/2*i**5 + 0*i**3 + 0 + i**2 = 0.
-1, 0, 1
Find g such that g**2 + 1234*g - 1 - 1234*g = 0.
-1, 1
Let f(p) be the first derivative of -p**4/26 + 3*p**2/13 + 4*p/13 + 7. Find n such that f(n) = 0.
-1, 2
Let v = 133/10 + -25/2. Find m, given that 3/5*m**2 + 0*m - v - 1/5*m**3 = 0.
-1, 2
Let u(r) be the second derivative of -2*r + 1/21*r**4 - 1/21*r**3 + 0 - 1/70*r**5 + 0*r**2. Factor u(l).
-2*l*(l - 1)**2/7
Let k(s) be the third derivative of -s**6/600 - s**5/75 - s**4/24 - s**3/15 + 7*s**2. Determine y so that k(y) = 0.
-2, -1
Factor 2/5 + 6/5*b**2 + 2/5*b**3 + 6/5*b.
2*(b + 1)**3/5
Let s(r) be the third derivative of -r**8/126 + r**7/105 + r**6/36 - r**5/30 - r**4/36 + 3*r**2. What is z in s(z) = 0?
-1, -1/4, 0, 1
Solve -2/9*w**4 + 0*w + 0 - 2/3*w**3 - 4/9*w**2 = 0.
-2, -1, 0
Let y = 22 - 22. Factor 8/7*a - 8/7*a**2 - 6/7*a**3 + y.
-2*a*(a + 2)*(3*a - 2)/7
Suppose 0 = -r - 3, -4*g = -0*g - 3*r - 17. Suppose -g*b = b + 2*y - 4, -2*b + 5*y + 9 = 0. Solve 2*c + c**b - c**3 + c**2 - c - 2 = 0.
-1, 1, 2
Let x(v) = -5*v**4 + 7*v**3 - 7*v**2 - 7. Let i be -2 - (0/1 + 1). Let c(y) = 2*y**4 - 3*y**3 + 3*y**2 + 3. Let z(j) = i*x(j) - 7*c(j). Factor z(k).
k**4
Let s be 12/(0 + -3) - -7. Factor -4*o**s + 10*o**2 - 10*o**2 + 22*o**4.
2*o**3*(11*o - 2)
Let t(i) = -i**4 + i**3 - i**2 - i. Suppose 2*u = 4*a + a + 5, -3*u = 0. Let p(o) = -o**5 + o**4 - o**2 - o. Let j(n) = a*p(n) + t(n). Factor j(m).
m**3*(m - 1)**2
Suppose -5/2*p**2 + 0 + 1/2*p**4 - p - 3/2*p**3 + 1/2*p**5 = 0. What is p?
-1, 0, 2
Suppose 5*j + 2 = 4*b, 2*j + b + 10 = -2*b. Let d(o) = 38*o**2 + 7*o - 4. Let f(k) = -37*k**2 - 6*k + 4. Let s(w) = j*d(w) - 3*f(w). What is r in s(r) = 0?
-2/5, 2/7
Let u(r) be the second derivative of -9*r**5/5 + 16*r**4/3 - 10*r**3/3 - 4*r**2 - 33*r. Factor u(d).
-4*(d - 1)**2*(9*d + 2)
Factor -3*w + 5/2 + 1/2*w**2.
(w - 5)*(w - 1)/2
Suppose -3 = -3*v - j, 0 = 5*v - j - 9 - 4. Factor 4*t**2 - 3*t + 5*t - 2 - 2*t**v - 2*t**3.
-2*(t - 1)**2*(t + 1)
Let b(i) be the second derivative of -i**8/420 - 2*i**7/315 + 7*i**6/180 - i**5/15 - i**4/3 - i. Let f(n) be the third derivative of b(n). Factor f(g).
-4*(g + 2)*(2*g - 1)**2
Let h(q) = -9*q**4 - 5*q**3 + 5*q**2 + q + 4. Let p(r) = r**4 + r - 1. Let y(f) = -h(f) - 4*p(f). Suppose y(a) = 0. Calculate a.
-1, 0, 1
Let r be 9*(1 + 2/(-3)). Suppose -r*n + 0*n = 5*f - 29, -n = -3*f + 9. Determine a so that a**3 + 4*a - 6*a + 4*a**2 - 3*a**n = 0.
0, 1
Let x(c) be the first derivative of -c**5/10 + c**4/2 - 2*c**3/3 + 6*c + 3. Let u(v) be the first derivative of x(v). Determine m so that u(m) = 0.
0, 1, 2
Let y(w) = -3*w + 20. Let s be y(5). Let l(j) be the first derivative of 4*j**2 - s*j**3 + 25/12*j**4 - 3 - 4/3*j. Factor l(o).
(o - 1)*(5*o - 2)**2/3
Let i(f) be the first derivative of -1/3*f**4 - 8/3*f + 2/3*f**3 + 4/3*f**2 - 2/15*f**5 - 8. Factor i(q).
-2*(q - 1)**2*(q + 2)**2/3
Factor -6*y**2 + 32*y**4 - 6*y**2 - 35*y**4 - 15*y**3.
-3*y**2*(y + 1)*(y + 4)
Let i be 45/(-15)*(-2)/9. Factor 2/3*l**3 - i*l - 2/3 + 2/3*l**2.
2*(l - 1)*(l + 1)**2/3
Suppose 2*b = 4*b - 6. Let -1 + 2 + b*l - 2*l**3 - l**2 - l**3 = 0. Calculate l.
-1, -1/3, 1
Let w = 17 + -14. Factor -5*m**2 + 0*m**2 + 5*m + w*m**2 - 2 + 0*m**2.
-(m - 2)*(2*m - 1)
Let a(y) be the third derivative of -y**8/1344 - y**7/420 + y**5/120 + y**4/96 + 15*y**2. Determine v, given that a(v) = 0.
-1, 0, 1
Suppose -c + 6 - 2 = 0. Let a(k) be the third derivative of -1/2*k**3 + 0 + 0*k - 1/20*k**5 - 1/4*k**c + 2*k**2. Solve a(h) = 0.
-1
Let f(w) be the first derivative of -1/10*w**5 + 1/2*w - 1/4*w**4 + 1 + 1/2*w**2 + 0*w**3. Suppose f(i) = 0. Calculate i.
-1, 1
Factor -63*z**2 + 0*z**3 - 2*z**3 - 2*z + 59*z**2.
-2*z*(z + 1)**2
Let c be (90/20)/((-6)/(-8)). Let i(f) be the third derivative of 0*f**3 - 1/75*f**5 + 0*f**4 + 0*f + 1/100*f**c + 0 + 2*f**2. Solve i(h) = 0 for h.
0, 2/3
Let y(h) be the third derivative of -h**6/1440 + h**5/240 + h**4/32 + h**3/3 + 2*h**2. Let v(n) be the first derivative of y(n). What is c in v(c) = 0?
-1, 3
Let c(a) be the first derivative of -a**7/3360 + a**6/480 - a**5/160 + a**4/96 - 2*a**3/3 + 3. Let t(n) be the third derivative of c(n). Factor t(d).
-(d - 1)**3/4
Suppose 0 = 90*r - 92*r. Let m(u) be the third derivative of 0*u - u**2 + r*u**4 + 1/270*u**5 + 0*u**3 + 0 - 1/540*u**6. Let m(y) = 0. What is y?
0, 1
Let p(n) = -n. Let f be p(17). Let c(b) = -b**2 - 19*b - 32. Let x be c(f). Factor 0*l**4 + 2/5*l**5 + 2/5*l + 0 - 4/5*l**3 + 0*l**x.
2*l*(l - 1)**2*(l + 1)**2/5
Suppose 1/3*i + 1/6*i**4 - 1/6*i**5 + 0 + 1/2*i**3 - 5/6*i**2 = 0. Calculate i.
-2, 0, 1
Find g such that 2/11*g**5 - 2/11*g**2 - 6/11*g**4 + 0*g + 6/11*g**3 + 0 = 0.
0, 1
Let f(r) be the second derivative of r**6/30 + r**5/5 + r**4/2 + 2*r**3/3 + r**2/2 + 9*r. Factor f(m).
(m + 1)**4
Let p(v) be the third derivative of 5*v**8/336 - v**6/8 + v**5/6 - 4*v**2. Factor p(l).
5*l**2*(l - 1)**2*(l + 2)
Let b be (-2)/(-6) - 13795/(-105). Let g = 132 - b. Factor -g*w**3 + 4/7*w**2 - 4/7 + 2/7*w.
-2*(w - 2)*(w - 1)*(w + 1)/7
Let h be 2/12*(330/100 + -3). Let r(l) be the third derivative of 1/40*l**6 + 0*l**3 + 0*l - 1/8*l**4 + 3*l**2 + 0 + 1/70*l**7 - h*l**5. Factor r(i).
3*i*(i - 1)*(i + 1)**2
Let a be ((-20)/14)/(2/(-14)). Suppose -a = -3*v - 3*t + 4*t, 16 = 2*v - 3*t. Factor -4/5*y - 2/5*y**v + 0.
-2*y*(y + 2)/5
Let t = 14/45 - 1/9. Determine b, given that 2/5 + 4/5*b**2 - t*b**3 - b = 0.
1, 2
Factor 0*l + 2/15*l**2 + 0.
2*l**2/15
Find x, given that 0*x + 3*x**2 - x + 0*x**2 - 5*x = 0.
0, 2
Let s = -6 - -18. Let v be (19/171)/(2/s). Determine j, given that v*j**2 + 2/3*j**3 + 0 + 0*j = 0.
-1, 0
Let s(z) be the third derivative of -49*z**7/15 + 49*z**6/30 + 14*z**5/15 - 2*z**4/3 - 3*z**2 - 2*z. Let s(k) = 0. What is k?
-2/7, 0, 2/7
Let q = -27 + 29. Factor 2/7*d**q + 2/7*d**3 + 0 - 4/7*d.
2*d*(d - 1)*(d + 2)/7
Suppose o = -2*h + 5*h - 76, 128 = 5*h - 2*o. Let f be (-9)/(-12) + (-10)/h. Factor 0*k**2 + 2/3*k - f*k**4 + 1/3 - 2/3*k**3.
-(k - 1)*(k + 1)**3/3
Factor 0 + 0*b**2 - 2/11*b + 2/11*b**3.
2*b*(b - 1)*(b + 1)/11
Let x(y) be the first derivative of -y**4/4 + 2*y**3/3 - y**2/2 + 2. Let x(n) = 0. What is n?
0, 1
Let p = -24 + 28. Suppose -v - z + 1 = 0, -v - z + p*z = -5. Factor 1/3*w**4 + 1/3*w + w**3 + 0 + w**v.
w*(w + 1)**3/3
Let q(u) = u**3 + 5*u**2 + 2*u - 2. Let j(h) = 2*h**3 + 11*h**2 + 5*h - 3. Let m(f) = -2*j(f) + 5*q(f). Solve m(l) = 0 for l.
-2, 1
Suppose 4*k + 5*s = k + 19, -5*k - s = -39. Suppose -k = 4*x, 2*n - 5*x - 8 = -3*x. Factor -4*m**2 + 4*m**3 - m - n*m**3 + 3*m.
2*m*(m - 1)**2
Let j(w) be the second derivative of 0 + 0*w**2 + 3/20*w**5 + 0*w**3 - 1/2*w**4 + 6*w. Factor j(s).
3*s**2*(s - 2)
Let -2/9 - 2/9*o**2 - 4/9*o = 0. Calculate o.
-1
Let o(c) be the first derivative of 4*c**3/3 + 6*c**2 - 40*c - 7. Find h such that o(h) = 0.
-5, 2
Let r(j) = -j**2 - j + 4. Let d = -10 - -6. Let l be (10/6)/((-2)/12). Let h(x) = 2*x**2 + 2*x - 9. Let v(f) = d*h(f) + l*r(f). What is m in v(m) = 0?
-2, 1
Suppose -1/3*r**3 - 1/3 + 1/3*r + 1/3*r**2 = 0. Calculate r.
-1, 1
Suppose 30*q = 16*q + 28. Solve 6 - q*c**4 + 32/3*c**3 - 28/3*c**2 - 16*c = 0 for c.
-1, 1/3, 3
Let g = 177/913 - 1/83. Factor 2/11*c**5 - 4/11*c**2 - g + 4/11*c**3 + 6/11*c**4 - 6/11*c.
2*(c - 1)*(c + 1)**4/11
Let p be (-7)/(-4)*1 - (-2)/8. Find t, given that -1/4*t**p + 0*t + 0 = 0.
0
Let z(i) = 4 + i**2 - 2 - 1 - i. Suppose 2*r = 0, 3*q + 3*r = 6*r - 3. Let n(x) = -10*x**2 - x - 1. Let m(j) = q*z(j) - n(j). Suppose m(p) = 0. What is p?
-