 + 3*w**2. Solve z(b) = 0.
-2, -1, 1
Let w(o) be the second derivative of -1/11*o**2 - 8*o + 0 - 1/66*o**4 + 2/33*o**3. Factor w(m).
-2*(m - 1)**2/11
Let g(h) be the second derivative of -h**4/12 - 13*h. Let g(b) = 0. What is b?
0
Suppose 40 - 78*g**4 + 121*g + 110*g**2 + 59*g + 35*g**5 + 32*g**3 - 157*g**3 + 18*g**4 = 0. What is g?
-1, -2/7, 2
Factor -9/2*m - 3 - 3/2*m**2.
-3*(m + 1)*(m + 2)/2
Let j = -11 - -23/2. Factor -3/2*h**2 - j - 2*h.
-(h + 1)*(3*h + 1)/2
Let z(s) be the first derivative of s**6/2 - 3*s**4 - 2*s**3 + 9*s**2/2 + 6*s - 19. Factor z(f).
3*(f - 2)*(f - 1)*(f + 1)**3
Let z(s) be the first derivative of s**4 - 16*s**3/3 + 10*s**2 - 8*s + 9. Factor z(c).
4*(c - 2)*(c - 1)**2
Suppose 2*v = 3*q + 2*q + 15, 0 = -5*v - 2*q - 6. Let h(c) be the first derivative of 3 + v*c - 2/3*c**3 + c**2. Let h(z) = 0. What is z?
0, 1
Let x(y) be the second derivative of -y**6/240 - y**5/32 - 5*y**4/96 + 5*y**3/48 + 3*y**2/8 + 5*y - 3. Let x(q) = 0. What is q?
-3, -2, -1, 1
Determine q so that -20 - 4*q**4 + 2*q**4 - 23*q**4 + 80*q - 20*q**3 + 121*q**2 - 16*q**2 = 0.
-2, -1, 1/5, 2
Let r(y) = 31*y**3 + 4*y**2 + 13*y - 13. Let i(q) = -15*q**3 - 2*q**2 - 6*q + 6. Let p(h) = -13*i(h) - 6*r(h). Find w, given that p(w) = 0.
-2/9, 0
Let s(b) = b**2 + 8*b - 9. Let y be s(-9). Let a(w) be the second derivative of 0*w**2 + 1/15*w**4 - 5*w + y - 1/50*w**5 - 1/15*w**3. Factor a(o).
-2*o*(o - 1)**2/5
Let c(q) be the second derivative of q**4/42 - 2*q**3/21 - 14*q. Factor c(g).
2*g*(g - 2)/7
Suppose 7 = b + 5*u - 4*u, -u + 13 = 4*b. Let -18/5*s**b - 24/5*s - 8/5 = 0. What is s?
-2/3
Let a(m) be the third derivative of m**8/2520 + m**7/630 + m**6/540 - 4*m**3/3 + 2*m**2. Let i(r) be the first derivative of a(r). Factor i(s).
2*s**2*(s + 1)**2/3
Let a(z) be the third derivative of z**6/40 - z**5/20 - z**4/4 + 4*z**2. Factor a(l).
3*l*(l - 2)*(l + 1)
Let z(w) = -9*w - 42. Let t be z(-5). Determine j so that 0 - 2/3*j + 7/3*j**4 - j**t + 5/3*j**5 - 7/3*j**2 = 0.
-1, -2/5, 0, 1
Suppose -4*v + 14 = 2. Determine c, given that -2 + 3*c - v*c**5 - 2*c**4 + 4*c**5 - 2*c**5 + 2*c**3 - 4*c + 4*c**2 = 0.
-2, -1, 1
Suppose -2*l = 2*l - 4. Suppose 5*n - l = 14. What is c in -3*c + 2*c**3 + n*c**2 - c**2 - 3*c**4 - 1 + c**5 + 2 = 0?
-1, 1
Factor -2/9*v**3 + 0*v**2 + 4/9 + 2/3*v.
-2*(v - 2)*(v + 1)**2/9
Factor 3*n**3 + 2*n**4 + 3*n**4 - 6*n - n**2 + 3*n**5 + 4*n**4 - 8*n**2.
3*n*(n - 1)*(n + 1)**2*(n + 2)
Find q, given that 15/2*q + 69/8*q**4 - 39/8*q**3 - 57/8*q**2 - 21/8*q**5 - 3/2 = 0.
-1, 2/7, 1, 2
Let p be (4/(-10))/(3/(-30)). Suppose -m = -p*m + 12. Suppose -4*w**2 + 49*w**m + 25*w**4 + 49*w**3 - 10*w**3 - 4*w + 35*w**5 = 0. Calculate w.
-1, -2/5, 0, 2/7
Let k(f) be the first derivative of -2*f**3/15 - 3*f**2/5 + 23. Factor k(q).
-2*q*(q + 3)/5
Let w(l) = -2*l**3 - 3*l**2 - l + 5. Let s(f) = f**3 + 2*f**2 + f - 3. Suppose 4*a - a + 30 = 0. Let k(y) = a*s(y) - 6*w(y). Factor k(o).
2*o*(o - 2)*(o + 1)
Let p(f) = -4*f. Let j be p(1). Let z be (0/2)/((-8)/j). Determine h so that z - 2/7*h**2 + 2/7*h = 0.
0, 1
Let n be (100 - 2) + (1 - -1). Suppose -4*o - x = -n, -116 + 30 = -3*o + 2*x. Factor o*v**3 + 48*v**2 + 59*v**3 + 8*v - 15*v**3.
2*v*(5*v + 2)*(7*v + 2)
Let r(x) be the third derivative of -1/30*x**5 - 1/6*x**4 + 0 + 0*x + x**2 - 1/3*x**3. Factor r(c).
-2*(c + 1)**2
Let x = -134/3 - -45. Let i(o) be the second derivative of 1/9*o**4 - 1/45*o**6 + 0 + 0*o**5 + 0*o**3 - x*o**2 - 4*o. Factor i(f).
-2*(f - 1)**2*(f + 1)**2/3
Let a(r) be the second derivative of 1/24*r**3 + 1/48*r**4 + 0 + 4*r + 0*r**2. Factor a(n).
n*(n + 1)/4
Let f(r) = -r - 7. Let w be f(-9). Let i(u) = -2 + u**2 - 2*u**w + 3. Let d(z) = 4*z**2 - 3. Let s(o) = d(o) + 3*i(o). Suppose s(j) = 0. What is j?
0
Let l = -5 - -9. Let -4*u + u**l + 1 - u**4 + 2*u**4 - u**3 - 3*u**2 + 5*u = 0. Calculate u.
-1, -1/2, 1
Let u(c) be the third derivative of -2*c**2 + 1/80*c**5 - 1/16*c**4 + 0 + 1/8*c**3 + 0*c. Factor u(z).
3*(z - 1)**2/4
Let s(h) be the second derivative of 0*h**4 + 0 + 1/20*h**5 - h**2 + 4*h - 1/2*h**3. Solve s(w) = 0 for w.
-1, 2
Let y be 9/27 + 14/3. Suppose -4 - y = -3*p. Factor -1/3*r**4 + 2/3*r**p - 2/3*r + 0*r**2 + 1/3.
-(r - 1)**3*(r + 1)/3
Let o(l) be the first derivative of 2*l**5/45 + 2*l**4/9 + 4*l**3/9 + 4*l**2/9 + 2*l/9 - 4. Factor o(u).
2*(u + 1)**4/9
Find v such that 0*v**3 + 0*v - 1/4*v**4 + 1/2*v**2 - 1/4 = 0.
-1, 1
Suppose -g - 2 = 3. Let o(l) = -l**2 + l - 1. Let w(j) = -4*j**2 + 3*j - 4. Let v(p) = g*o(p) + w(p). Determine c, given that v(c) = 0.
1
Let z(s) = -s**3 + 7*s**2 + 10*s - 6. Let a be z(8). Let m be (4/a)/(4/455). Factor -147/4*y**3 + m*y**2 + 2 - 17*y.
-(3*y - 2)*(7*y - 2)**2/4
Let w(i) be the third derivative of -i**7/105 + i**6/30 - i**5/30 - 19*i**2. Find y, given that w(y) = 0.
0, 1
Factor 4/5*j - 14/5*j**2 + 2/5*j**5 - 2*j**4 + 0 + 18/5*j**3.
2*j*(j - 2)*(j - 1)**3/5
Suppose 3/7*a**2 + 3/7 + 6/7*a = 0. What is a?
-1
Let w(u) be the second derivative of u**8/2240 + u**7/1120 - u**6/240 - 2*u**3/3 + 2*u. Let x(j) be the second derivative of w(j). Factor x(t).
3*t**2*(t - 1)*(t + 2)/4
Solve 20/9*v + 4/9*v**3 - 16/9*v**2 - 8/9 = 0 for v.
1, 2
Let h = 74 - 72. Let l(u) be the second derivative of -2/21*u**3 + 1/7*u**h + 0 + 1/42*u**4 - 2*u. Suppose l(r) = 0. What is r?
1
Let v be ((-12)/(-16))/(2/8). Factor -3*w**3 - v*w**2 + w + 3*w + 2*w.
-3*w*(w - 1)*(w + 2)
Let w(s) be the second derivative of -1/8*s**2 - 1/120*s**6 + 0*s**3 + 0*s**5 + 0 - 5*s + 1/24*s**4. Solve w(z) = 0 for z.
-1, 1
Let p be (16/(-84))/(30/(-7)). Let f = 53/180 - p. Factor 0 - 1/2*a**2 - 1/4*a**3 - f*a.
-a*(a + 1)**2/4
Let u = 54 + -809/15. Let y = 2/5 - u. Find l such that -1/3*l**3 + 1/3*l**2 - 1/3 + y*l = 0.
-1, 1
Let v(w) be the first derivative of -3 + w**2 + 4/3*w**3 - 1/2*w**4 - 4*w. Suppose v(s) = 0. What is s?
-1, 1, 2
Suppose 0 = -0*l - l. Suppose l*p = -3*p + 12. What is g in -3*g**4 - g**4 - 2*g**5 + 0*g**p - 2*g**3 = 0?
-1, 0
Let o(a) be the first derivative of a**6/57 - 6*a**5/95 + a**4/19 + 4*a**3/57 - 3*a**2/19 + 2*a/19 - 14. Suppose o(w) = 0. Calculate w.
-1, 1
Find m such that 4*m**2 + 8*m**3 - 8*m - 4*m**3 + m**3 - m**3 = 0.
-2, 0, 1
Let b(k) be the third derivative of -k**6/120 - 13*k**5/240 - k**4/32 + 2*k**2 + 9*k. What is m in b(m) = 0?
-3, -1/4, 0
Let p be 130/182*((-8)/10)/(-1). Let l = 1 - 1. Factor l*m - 2/7 - 2/7*m**4 + p*m**2 + 0*m**3.
-2*(m - 1)**2*(m + 1)**2/7
Let p(d) be the third derivative of -d**2 - 2/5*d**3 - 1/10*d**4 - 1/100*d**5 + 0*d + 0. Factor p(n).
-3*(n + 2)**2/5
Let q(d) be the first derivative of d**6/24 - d**5/10 - d**4/16 + d**3/6 - 40. Factor q(i).
i**2*(i - 2)*(i - 1)*(i + 1)/4
Suppose -3*j - 3*r = -2*j - 18, -20 = -4*r. Let i(n) be the third derivative of -3*n**2 - 1/30*n**5 + 1/60*n**6 + 0 - 1/12*n**4 + 1/3*n**j + 0*n. Factor i(m).
2*(m - 1)**2*(m + 1)
Suppose -18 = -3*f + w, 5*f - 30 = 4*w - 0*w. Suppose -f*i + 8 = -4*i. Factor 8*m**3 - 20/9*m**2 - 12*m**i + 6*m**5 + 2/9*m + 0.
2*m*(m - 1)*(3*m - 1)**3/9
Let p be (-362)/(-360) - (3/1)/3. Let r(k) be the third derivative of 0 - 1/180*k**5 + 0*k**3 + 3*k**2 + 0*k**4 + 0*k + p*k**6. Factor r(j).
j**2*(2*j - 1)/3
Suppose -3*t + 8*t - 15 = 0. Let l be -3*(-2)/t*1. Find w such that 0*w**2 - 2*w**l - 6*w + 5*w**2 = 0.
0, 2
Let w(n) be the third derivative of 0 - 1/24*n**8 + 19/105*n**7 + 0*n + n**2 + 1/6*n**4 + 1/30*n**5 - 1/4*n**6 + 0*n**3. Let w(g) = 0. What is g?
-2/7, 0, 1
Factor 0*x**2 + 3/2*x - 1/2*x**3 - 1.
-(x - 1)**2*(x + 2)/2
Solve 1/2*d**5 + 2*d**2 + d**3 - 3/2*d + 0 - 2*d**4 = 0.
-1, 0, 1, 3
Let t(n) = -2*n**5 - 7*n**4 + 9*n**3 + 9*n. Suppose 2*d - 3*d = 4. Let u(s) = s**5 + 3*s**4 - 4*s**3 - 4*s. Let r(y) = d*t(y) - 9*u(y). Solve r(w) = 0 for w.
0, 1
Let w(r) be the first derivative of r**8/840 - r**7/140 + r**6/60 - r**5/60 - r**3/3 + 3. Let s(d) be the third derivative of w(d). Factor s(n).
2*n*(n - 1)**3
Suppose 2*l = 7*l - 90. Let t be ((-4)/l)/(2/(-3)). Let 2/3*w**3 + 0 + 0*w - t*w**4 - 1/3*w**2 = 0. What is w?
0, 1
Let z be ((-69)/8)/((-9)/12). Let b = z + -11. Factor 0*m**3 + 0*m**2 + b*m**4 + 0*m + 1/2*m**5 + 0.
m**4*(m + 1)/2
Let n(o) = 3*o**5 - 4*o**4 - 5*o**3 + 6*o**2 + 4. Let g(f) = 6*f**5 - 8*f**4 - 11*f**3 + 13*f**2 + 9. Let z(s) = -4*g(s) + 9*n(s). Factor z(l).
l**2*(l 