0*t + 2*t**2 + 1/15*t**3 - 1/30*t**v + 0. Factor d(w).
2*(w - 1)**2/5
Let f(n) be the first derivative of -2*n**5/5 - 4*n**4 - 44*n**3/3 - 24*n**2 - 18*n + 12. Solve f(x) = 0.
-3, -1
Let n(b) be the third derivative of b**7/15120 - b**6/2160 + b**4/12 + 3*b**2. Let o(h) be the second derivative of n(h). Determine l so that o(l) = 0.
0, 2
Let h(c) = -c**2 + c + 3. Let v be h(0). Determine u, given that 5*u**v + 4*u**4 + u**2 + 5*u**3 - 5*u**3 = 0.
-1, -1/4, 0
Let c(b) = -22*b**2 + 10*b. Let d = 5 - -7. Let p(g) = 9*g**2 - 4*g. Let o(y) = d*p(y) + 5*c(y). Suppose o(z) = 0. What is z?
0, 1
Let u(g) be the third derivative of 0*g + 0 - 1/33*g**4 - 4/33*g**3 + 4*g**2 - 1/330*g**5. Find r, given that u(r) = 0.
-2
Factor 4*z**4 - 3*z - 2 - 4*z**5 + 2*z + 15*z**4 - 2*z**3 + 19*z**2 - 29*z**3.
-(z - 2)*(z - 1)**3*(4*z + 1)
Let o(r) = r**2 + 3*r + 4. Let m be o(-3). Let q = m + -1. Factor -3*s**q - s**2 + 0*s**2 + 2*s**3.
-s**2*(s + 1)
Factor 17*c**2 - 28*c**2 - 8 + 2*c**3 + 17*c**2.
2*(c - 1)*(c + 2)**2
Suppose -5/7*d**5 - 9/7*d**3 + 1/7*d**2 + 2/7*d + 0 - 13/7*d**4 = 0. What is d?
-1, 0, 2/5
Let b be 2/4*192/42. Factor -8/7*v**4 - b + 20/7*v**2 - 2/7*v**3 - 2/7*v**5 + 8/7*v.
-2*(v - 1)**2*(v + 2)**3/7
Let z(t) be the third derivative of -t**6/420 + t**5/70 - t**4/42 - 23*t**2. Find c such that z(c) = 0.
0, 1, 2
Find n such that -2*n**4 + n**4 - 4*n**4 + 2*n**4 + 9*n**3 = 0.
0, 3
Let y(m) = m**2 + 6*m + 7. Let g be y(-6). Let f(b) = 28*b + b**3 - 26*b + 0 - 4 - g*b**2. Let z(o) = -o**2 - 1. Let q(r) = -f(r) + 4*z(r). Solve q(d) = 0.
0, 1, 2
Let a(s) be the first derivative of s**4/6 + 16*s**3/9 + 16*s**2/3 - 54. Suppose a(g) = 0. What is g?
-4, 0
Factor 1/3*g**2 + 1 - 4/3*g.
(g - 3)*(g - 1)/3
Let r(s) = -s**2 + 9*s + 3. Let j be r(9). Suppose j*p = -0*p. Suppose p*x + 1/2*x**2 + 1/2*x**3 + 0 = 0. What is x?
-1, 0
Let j(k) be the first derivative of -2/21*k**3 + 4/7*k + 3 + 1/7*k**2. Factor j(b).
-2*(b - 2)*(b + 1)/7
Let p(u) be the third derivative of u**8/168 + u**7/105 - u**6/60 - u**5/30 + 3*u**2. Factor p(r).
2*r**2*(r - 1)*(r + 1)**2
Let l = 1/411 + 1228/2055. Factor l*t**2 + 3/5 - 6/5*t.
3*(t - 1)**2/5
Let y be 2/15*3 - (-195)/75. Let c(s) be the second derivative of 1/20*s**5 + 0*s**3 - 1/42*s**7 - y*s - 1/30*s**6 + 1/12*s**4 + 0*s**2 + 0. Factor c(v).
-v**2*(v - 1)*(v + 1)**2
Solve 2*a + 1 - 7 + 3*a**2 + a = 0 for a.
-2, 1
Let -1/8*l**2 + 1/4*l - 1/8 = 0. Calculate l.
1
Factor 15 + 2*q**3 + q**3 + 9*q**2 - 32 - 3*q**4 + 11 - 3*q.
-3*(q - 2)*(q - 1)*(q + 1)**2
Let q(r) = -r**2 - 15*r - 50. Let d be q(-10). Factor -1/5*h + d - 1/5*h**2.
-h*(h + 1)/5
Suppose 3*n - 4*a = 25, -3*a = n - 6*a - 15. Factor 0*m**3 + 2*m**3 - m**4 + m**5 - 2*m**n.
m**4*(m - 1)
Let j = -83 + 251/3. Let l(r) be the second derivative of -1/2*r**4 - 2*r + 0*r**2 + 0 + 1/5*r**6 + 1/10*r**5 - j*r**3 + 1/21*r**7. Let l(a) = 0. Calculate a.
-2, -1, 0, 1
Let y(t) be the first derivative of -t**5/5 + 3*t**4/4 - t**3 + t**2/2 - 2. Determine w, given that y(w) = 0.
0, 1
Let n(z) = 18*z**4 + 12*z**3 + 31*z**2 + 15*z. Let j(l) = -l**4 + l**3 - l**2 - l. Let r(c) = -22*j(c) - 2*n(c). Suppose r(t) = 0. What is t?
-2, -1, -2/7, 0
Let o(m) be the first derivative of m**7/420 - m**6/180 + m**3 - 3. Let r(u) be the third derivative of o(u). Find s, given that r(s) = 0.
0, 1
Suppose 0 = 4*d - 20, -13 = -s - 2*d + d. Let k be (s/25)/(6/15). Factor k*g**3 + 1/5*g**2 - 4/5*g - 1/5.
(g - 1)*(g + 1)*(4*g + 1)/5
Find x such that 40*x**2 + x**4 - 11*x**4 + 32*x - 10*x**2 - 4*x**3 + 8 = 0.
-1, -2/5, 2
Let b(o) = -3*o**3 + o**2 - o + 1. Let t be b(1). Let m be t/(-5) + 4/10. Factor -2/5*y**2 + m*y + 0.
-2*y*(y - 2)/5
Solve 37 - 4*w**2 - 54 + 33 = 0.
-2, 2
Suppose i + q + 43 = 0, 2*q + 0*q = -6. Let p be (-2)/(-8) + i/(-96). Factor 2/3*d**2 - p + 0*d.
2*(d - 1)*(d + 1)/3
Let f be 2/6 - (-8)/3. Factor -2*y**4 - 4*y**2 + 0*y**f + 0*y**4 - 2*y**3 - 4*y**3.
-2*y**2*(y + 1)*(y + 2)
Let l(q) = -6*q**3 + 7*q**2 + 7*q. Let t(i) = 3*i**3 - 3*i**2 - 3*i. Let x(f) = 3*l(f) + 7*t(f). Determine k so that x(k) = 0.
0
Let a(o) be the first derivative of 5/2*o**4 - 2 + 8/5*o**5 - 2*o**3 - 5*o**2 - 2*o. Solve a(u) = 0.
-1, -1/4, 1
Solve -49*b**2 + 25*b - 75*b - 4 + 22*b = 0.
-2/7
Let l(r) be the first derivative of 3/10*r**4 - 2/5*r**3 + 0*r + 1 - 2/5*r**2 + 1/5*r**6 + 14/25*r**5. Find t such that l(t) = 0.
-1, 0, 2/3
Let s(f) be the third derivative of f**5/12 + 35*f**4/24 + 10*f**3 - 2*f**2 - 2*f. Factor s(t).
5*(t + 3)*(t + 4)
Suppose 4*j = -20, -44 = -b + 5*j - 17. Factor -3/4*r - 3/8*r**b - 3/8.
-3*(r + 1)**2/8
Suppose -12*n + 24*n**2 + 8*n - 31*n**3 - 5*n**3 = 0. Calculate n.
0, 1/3
Let t(l) = -l + 4. Let j be t(0). Suppose -j*m - m + 120 = 0. What is z in -z**2 - 24 - z**3 + m = 0?
-1, 0
Let p(n) be the first derivative of n**6/6 - n**5/5 - n**4/4 + n**3/3 - 3. Factor p(b).
b**2*(b - 1)**2*(b + 1)
Let h(n) = -n**2 + 19. Let w be h(0). Suppose 0 = -3*j - l + 12, 3*l + w = 2*j - 0*j. Factor g + j*g**2 - g - 3*g**2 - 2*g.
2*g*(g - 1)
Let p(o) = 5*o**4 - 5*o**2 + o**2 + 4*o - 2*o**2 + 1. Let a(z) = -6*z**4 + 7*z**2 - 5*z - 1. Let d(r) = -4*a(r) - 5*p(r). Suppose d(y) = 0. Calculate y.
-1, 1
Let i = -3 + 3. Suppose i = 3*n - 8*n + 10. Let 3*a - 2 + 0*a**n + a**2 - a**2 - a**2 = 0. Calculate a.
1, 2
Let i = -10 + 13. Factor -y**i + 1/4 - 1/2*y - 7/4*y**2.
-(y + 1)**2*(4*y - 1)/4
Let w be (-980)/(-600) + (-12)/8. Factor -2/5*p**4 - 2/15*p**2 + 0 + 2/5*p**3 + w*p**5 + 0*p.
2*p**2*(p - 1)**3/15
Let z(o) be the third derivative of 3*o**6/40 + 2*o**5/5 + 3*o**4/8 - o**3 + 2*o**2. Factor z(g).
3*(g + 1)*(g + 2)*(3*g - 1)
Let s be 9/(-4)*(-32)/24. Let n be (3 + (1 - s))/5. Factor 9/5*f**2 + 27/5 + 27/5*f + n*f**3.
(f + 3)**3/5
Let n(z) be the first derivative of 1/60*z**5 + 0*z**3 - z**2 + 4 + 1/24*z**4 + 0*z. Let q(f) be the second derivative of n(f). Factor q(l).
l*(l + 1)
Let c(s) be the third derivative of -s**6/30 - s**5/15 + s**4/3 + s**2. Let c(u) = 0. What is u?
-2, 0, 1
Let p(z) be the first derivative of z**6/4 + 3*z**5/10 - 3*z**4/8 - z**3/2 + 10. Factor p(w).
3*w**2*(w - 1)*(w + 1)**2/2
Let r(v) be the first derivative of -v**6/2 - 3*v**5/5 + 9*v**4/2 - 2*v**3 - 15*v**2/2 + 9*v + 3. Find f, given that r(f) = 0.
-3, -1, 1
Let g be 13/20 + (-2)/8. Let o be (-6 - -3 - (-3 + 4))*-1. Determine b so that 0*b + 4/5*b**3 + 2/5*b**o + 0 + g*b**2 = 0.
-1, 0
Let y(o) = o**3 + 5*o**2 + 4*o + 2. Let u be y(-4). Let k = 3 - u. Let c(x) = -x. Let f(v) = -2*v**2 - 4*v. Let t(r) = k*f(r) - 2*c(r). Factor t(n).
-2*n*(n + 1)
Let n(k) = -k**4 + 7*k**3 + 3*k**2 - 4*k + 1. Let w(f) = -1 + 0 - 4*f + 6*f**3 + 2*f**2 + 1. Let b(v) = 2*n(v) - 3*w(v). Factor b(g).
-2*(g - 1)*(g + 1)**3
Let j be (-2 - (8 - 0))/(-2). Let y(w) be the first derivative of -2/35*w**j + 0*w - 1 - 2/21*w**3 - 1/7*w**4 + 0*w**2. Let y(r) = 0. Calculate r.
-1, 0
Let z(y) be the third derivative of -y**8/320 + 2*y**7/105 - y**6/60 + y**4/12 - 3*y**2. Let t(o) be the second derivative of z(o). Solve t(f) = 0.
0, 2/7, 2
Suppose 2*t - 5 + 1 = 0. Suppose 3*d - 4*n = d - 4, 4*d - 28 = -4*n. Factor -2*v**2 - v**t - v**4 + d*v**2.
-v**2*(v - 1)*(v + 1)
Factor 18*a**3 + 3/2*a + 0 - 45/4*a**2 + 12*a**4.
3*a*(a + 2)*(4*a - 1)**2/4
Suppose 9 + 6 = -5*f. Let q be 2/f*(-24)/64. Factor 0 + 1/4*o**2 + q*o.
o*(o + 1)/4
Suppose -5*f - 3*k + 1 = 4, -4 = 4*k. Find b such that -2*b**2 + 0*b + 2*b**4 + f*b**2 - 6*b**3 + 4*b + 2*b**5 + 0*b**2 = 0.
-2, -1, 0, 1
Suppose 2*x = -10, 14 = -5*m + 2*m - 4*x. Let u(o) be the second derivative of 0*o**m + 0*o**3 - 1/10*o**5 + 0*o**4 + 0 - 2*o. Let u(q) = 0. What is q?
0
Suppose -13 = 4*l + z, -l - 2*l - 11 = z. Let m be 69/180 - l/(-15). Factor 0 - 1/4*v**4 + 0*v**2 + m*v**3 + 0*v.
-v**3*(v - 1)/4
Let s(b) be the second derivative of -b**6/150 + b**5/50 - b**4/60 + 5*b**2/2 - 6*b. Let i(r) be the first derivative of s(r). Factor i(q).
-2*q*(q - 1)*(2*q - 1)/5
Let m(y) be the first derivative of -5*y**4/16 - 7*y**3/12 + y**2 + y - 7. Determine l so that m(l) = 0.
-2, -2/5, 1
Let m be ((-17)/(-221))/((-4)/(-26)). Suppose m*z**2 - 1/2*z**3 + 1/2*z - 1/2*z**4 + 0 = 0. What is z?
-1, 0, 1
Let j(h) be the second derivative of -h**7/840 + h**6/240 - h**5/240 + 7*h**2/2 + 2*h. Let g(b) be the first derivative of j(b). Factor g(v).
-v**2*(v - 1)**2/4