hat 0*w + 2*w**2 - v*w + w = 0.
0, 1
Suppose -2*c = -5*u + 4, -u - 2 = -4. Solve 4 - 3*b**3 + c*b**4 - 4 - 6*b**4 = 0 for b.
-1, 0
Suppose 5*f + 3*j = -12, 4*j = 5*j + 4. Factor 0*b + 7/3*b**3 + f + 2/3*b**2.
b**2*(7*b + 2)/3
Let i = -110 + 110. Let o(c) be the second derivative of 0*c**3 + c + 0 - 1/54*c**4 + i*c**2. Factor o(q).
-2*q**2/9
Factor q**3 + 3*q**3 + 3*q - 7*q.
4*q*(q - 1)*(q + 1)
Factor 11*a**2 - 16*a**2 + 0 + 7*a - 3 + a**3.
(a - 3)*(a - 1)**2
Factor -5/3*a**3 - 4/3*a**4 + 0*a + 0 - 1/3*a**2.
-a**2*(a + 1)*(4*a + 1)/3
Let x(m) be the second derivative of -m**7/70 - 3*m**6/50 + 17*m. Suppose x(y) = 0. What is y?
-3, 0
Let 5*o**2 + 2*o - 2*o - 3*o**2 = 0. What is o?
0
Let o be 2 - 2*(-3)/(-6). Factor -3 - 4*w + 2*w**3 + 7*w - 3*w**3 + o.
-(w - 1)**2*(w + 2)
Let -1 + b + 4*b**2 - 4*b**2 + 2*b**2 = 0. Calculate b.
-1, 1/2
Let b(g) = 3*g**3 - g**2 + 5*g - 1. Let w(f) = f**3 + f**2 + f. Let q(u) = -b(u) + 2*w(u). Factor q(i).
-(i - 1)**3
Let c be (-1 - (-2)/4) + 2/2. Let 1/4*a**5 + 0 + c*a**2 + 5/4*a**3 + a**4 + 0*a = 0. Calculate a.
-2, -1, 0
Let w(o) be the third derivative of 3*o**7/14 + 25*o**6/24 + 7*o**5/4 + 5*o**4/8 - 5*o**3/3 - 24*o**2. Factor w(c).
5*(c + 1)**3*(9*c - 2)
Factor 5*p**2 + 4*p - 4*p**3 - 6*p**2 + 4 - 2*p**2 - p**2.
-4*(p - 1)*(p + 1)**2
Let g be -23 + 25 + 0/(-1). Determine s, given that 1/2*s**3 + 1/2 + 3/2*s + 3/2*s**g = 0.
-1
Let t(a) = -5*a**5 + 10*a**4 - 5*a**3 + 3. Let i(f) = 24*f**5 - 50*f**4 + 26*f**3 - 16. Let w(h) = 3*i(h) + 16*t(h). Factor w(g).
-2*g**3*(g - 1)*(4*g - 1)
Let k(w) be the third derivative of -w**8/2240 - w**7/420 - 3*w**4/8 - w**2. Let r(u) be the second derivative of k(u). Factor r(g).
-3*g**2*(g + 2)
Let w(s) be the first derivative of -21/4*s**4 - 12*s + 18*s**2 + 9*s**3 - 6. Solve w(l) = 0.
-1, 2/7, 2
Let t(l) be the third derivative of l**8/56 + 4*l**7/105 - 23*l**6/180 - 3*l**5/5 - l**4 - 8*l**3/9 + 11*l**2. What is q in t(q) = 0?
-1, -2/3, 2
Let w(k) be the third derivative of k**7/630 - k**6/120 + k**5/180 + k**4/24 - k**3/9 + 6*k**2. Factor w(p).
(p - 2)*(p - 1)**2*(p + 1)/3
Factor -12 + 30*b + 69/4*b**2 + 9/4*b**3.
3*(b + 4)**2*(3*b - 1)/4
Factor n**4 - 1/4*n**5 + 1/2*n**2 + 0*n - 5/4*n**3 + 0.
-n**2*(n - 2)*(n - 1)**2/4
Let a(i) = 2*i**4 - 6*i**3 + 2*i**2 + 2*i. Let l = 4 + -7. Let v(w) = 2*w**4 - 5*w**3 + w**2 + 2*w. Let z(y) = l*a(y) + 4*v(y). Solve z(f) = 0 for f.
-1, 0, 1
Let x(k) be the first derivative of -2*k**5/5 + 5*k**4/2 - 2*k**3 - 9*k**2 + 20. Find z such that x(z) = 0.
-1, 0, 3
Let l(s) be the second derivative of s**4/12 - s**3/6 - s. Factor l(j).
j*(j - 1)
Suppose x - 3*c = -2*x - 12, 12 = 3*x + 3*c. Suppose -6 = 4*n - 22, 0 = 2*m + 2*n - 12. Factor -7*h**3 + 0*h**4 + 5*h**m - h + 3*h**4 + x*h**2.
h*(h - 1)**2*(3*h - 1)
Let k(q) be the third derivative of q**5/45 - 2*q**4/9 + 8*q**3/9 + 5*q**2. Factor k(g).
4*(g - 2)**2/3
Suppose 16 = 7*r - 3*r. Determine w so that 4*w - r*w**2 - 2*w + 8*w**3 - 6*w**3 = 0.
0, 1
Let m(g) be the second derivative of -4*g**5/15 - 7*g**4/9 + 28*g**3/9 - 2*g**2 - 7*g + 1. Factor m(v).
-4*(v - 1)*(v + 3)*(4*v - 1)/3
Let l(w) be the second derivative of -w**5/54 - 7*w**4/108 - 2*w**3/27 + w**2/2 - 3*w. Let b(a) be the first derivative of l(a). Determine u so that b(u) = 0.
-1, -2/5
Let b(x) be the third derivative of -x**8/336 + x**7/105 + 7*x**2. Factor b(z).
-z**4*(z - 2)
Factor 7*l**2 - 11*l**2 + 2*l**3 + 16*l - 6*l**2 - 8.
2*(l - 2)**2*(l - 1)
Let m be (-10)/30*(-1)/3. Let t(b) be the first derivative of -1/18*b**6 - 1/5*b**5 + 2 + 0*b**2 - 1/4*b**4 + 0*b - m*b**3. Let t(i) = 0. Calculate i.
-1, 0
Let l = 122/35 + -16/5. Let x = -261 - -1829/7. Factor -2/7 + l*t**2 - 2/7*t**3 + x*t.
-2*(t - 1)**2*(t + 1)/7
Suppose 18*p = 66 + 6. What is h in 0*h - 1/3*h**p + 0 + 1/3*h**5 - 2/3*h**3 + 0*h**2 = 0?
-1, 0, 2
Let f(b) be the first derivative of 2 + 0*b - 1/9*b**2 - 1/2*b**4 - 4/9*b**3 - 8/45*b**5. Suppose f(d) = 0. Calculate d.
-1, -1/4, 0
Let x be (-20)/(-30)*-12*1/(-4). Suppose 0 + 4/7*y - 2/7*y**x = 0. Calculate y.
0, 2
Let j(y) = y**3 - y**2 - 6*y - 4. Let f(o) = o + 1. Let l be (-2)/(-3)*6/4. Let x(n) = l*j(n) + 5*f(n). Let x(u) = 0. What is u?
-1, 1
Find o, given that -2/3 - 1/3*o**2 - o = 0.
-2, -1
Let r = 8 - -7. Let j be (12/r)/((-1)/(-5)). Let -3*z**3 + z**5 + j*z**3 - 4*z**2 + 3*z**2 - 3*z**4 + 2*z**3 = 0. Calculate z.
0, 1
Let r be 87/27 + 2/(-9). Suppose -2*b**2 - r - 2 + 5 = 0. What is b?
0
Let h(i) be the third derivative of -i**6/30 - 3*i**5/5 + 5*i**4/3 - i**2 - 5. Factor h(c).
-4*c*(c - 1)*(c + 10)
Let z(h) be the first derivative of h**4/4 - h**3 + h**2 + 5. Let z(g) = 0. Calculate g.
0, 1, 2
Let d = -19/84 - -10/21. Factor -1/2*w + d + 1/4*w**2.
(w - 1)**2/4
Suppose 10*m**3 - 12*m**2 - 2*m**3 - 4*m - 4*m = 0. Calculate m.
-1/2, 0, 2
Suppose -16 + 9 + l**2 - 3*l + 7 = 0. What is l?
0, 3
Let b(m) be the third derivative of -m**9/13440 - m**8/1920 - m**7/630 - m**6/360 + m**5/12 - m**2. Let w(x) be the third derivative of b(x). Factor w(u).
-(u + 1)*(3*u + 2)**2/2
Solve 3/2*w**2 + 10/3*w + 2/3 = 0 for w.
-2, -2/9
Let s(t) = -t - 6. Let v be s(-7). Let d be v - (0 + 1)*-1. Find b, given that d*b**4 + 2*b**2 + 3*b**3 + 1/2*b**5 + 1/2*b + 0 = 0.
-1, 0
Let x = 88/105 - 6/35. Solve -i**2 - 1/3*i**3 - x*i + 0 = 0.
-2, -1, 0
Let p(b) = 3*b**2 + 4*b + 1. Let z(n) = -n**2 - n. Let r be 4/(-10)*(-1 + -4). Let m(t) = r*p(t) + 7*z(t). Determine o so that m(o) = 0.
-1, 2
Let t(l) = l**3 - l**2 - 1. Let u(z) = -17*z**3 - 56*z**2 - 10*z + 11. Let n(i) = 6*t(i) + 2*u(i). Factor n(r).
-2*(r + 4)*(2*r + 1)*(7*r - 2)
Let p(k) be the third derivative of -7*k**5/150 + k**4/12 + 2*k**3/15 - 7*k**2 - 1. Factor p(f).
-2*(f - 1)*(7*f + 2)/5
Suppose -2 - 13 = -5*h. Factor -2/3*n**2 + n**h + 0*n**4 + 0 + 0*n - 1/3*n**5.
-n**2*(n - 1)**2*(n + 2)/3
Let f(j) be the first derivative of -6*j**5/5 + 9*j**4/8 + j**3/2 + 14. Factor f(t).
-3*t**2*(t - 1)*(4*t + 1)/2
Let q = -35 - -41. Let m(o) be the second derivative of 8/3*o**3 + 2*o**4 + 0 - 9*o**5 - 35/3*o**q + 0*o**2 + 2*o. Factor m(r).
-2*r*(5*r + 2)**2*(7*r - 2)
Let c(l) be the second derivative of -l**6/160 + l**2 - 3*l. Let s(q) be the first derivative of c(q). Let s(i) = 0. What is i?
0
Let a(o) be the first derivative of 0*o**2 + 0*o - 2/5*o**5 - 2/3*o**3 - o**4 + 2. What is w in a(w) = 0?
-1, 0
Let y be (2 - 1)*(5 + -2). Determine g, given that 9*g**2 + 2 - 14*g + 8*g**2 + 11*g**2 - 26*g**y + 2*g**2 + 8*g**4 = 0.
1/4, 1
Let 0*a**4 - 12/7*a**3 + 4/7*a**5 + 0 - 8/7*a**2 + 0*a = 0. What is a?
-1, 0, 2
Suppose 4*j**2 + 8*j**2 + 9*j**2 - 2*j**3 - 29*j**2 - 6*j = 0. Calculate j.
-3, -1, 0
Let z(v) be the first derivative of -v**6/15 + v**4/10 + 3. Suppose z(i) = 0. What is i?
-1, 0, 1
Let -29/10*f**3 - 2/5*f + 0 - 14/5*f**2 + 33/10*f**5 + 14/5*f**4 = 0. What is f?
-1, -2/3, -2/11, 0, 1
Let j(v) be the third derivative of 1/672*v**8 - 2*v**2 + 1/420*v**7 - 1/120*v**5 - 1/240*v**6 + 0 + 0*v + 0*v**4 + 0*v**3. Let j(y) = 0. What is y?
-1, 0, 1
Let v(l) be the first derivative of -3*l**5/20 - 3*l**4/16 + l**3/4 + 3*l**2/8 + 7. Factor v(j).
-3*j*(j - 1)*(j + 1)**2/4
Let z(x) be the second derivative of x**5/360 + x**4/144 + 3*x**2 - x. Let h(m) be the first derivative of z(m). Factor h(p).
p*(p + 1)/6
Let g(q) = q**2 - 4*q - 2. Let x = 12 + -7. Let w be g(x). Suppose w*p**3 + 0*p**5 - 2*p**5 - p**3 = 0. Calculate p.
-1, 0, 1
Let c(l) be the second derivative of -l**4/12 + l**2/2 - 5*l. Determine j so that c(j) = 0.
-1, 1
Let r be -1 - 1 - (-2 + 0/(-3)). Let w(t) be the first derivative of -2/7*t**2 - 4/5*t**5 - 3 + r*t - 2/21*t**3 + 17/14*t**4. Solve w(l) = 0 for l.
-2/7, 0, 1/2, 1
Suppose -5*c**2 + 5/2*c**5 + 5*c**4 - 5/2*c**3 + 0 + 0*c = 0. What is c?
-2, -1, 0, 1
Factor 5*m**4 + 12*m**3 - 40*m**2 - 14*m**4 - 12*m - 51*m**3.
-m*(m + 3)*(3*m + 2)**2
Let k = 19 - 17. What is t in -2*t - t**2 - 2*t - t**2 - 2*t**k = 0?
-1, 0
Solve 2/7*j**5 - 2/7*j**2 + 0*j + 0 + 2/7*j**4 - 2/7*j**3 = 0.
-1, 0, 1
Find w, given that -10*w**2 - 98/3 + 2/3*w**3 + 42*w = 0.
1, 7
Let b(p) be the third derivative of 0*p + 1/15*p**4 + 1/300*p**6 + 0 + 0*p**3 + 2/75*p**5 - p**2. Factor b(i).
2*i*(i + 2)**2/5
Let u(h) = h**2 + 10*h + 2. Let g be u(-10). Solve 0*n + 0 + 3/5*n**g - 6/5*n**4 - 3/5*n**3 = 0 for n.
-1, 0, 1/2
Let 