k**3 - 1/360*k**6 + 1/180*k**5 + 0*k - k**2. Find o such that u(o) = 0.
-1, 1
Let d(c) = 9 + 7*c - c - 5*c. Let m be d(-9). Factor m + 1/2*z**2 + 0*z.
z**2/2
Let u(p) be the first derivative of 1/2*p**2 - 1 + p - 1/4*p**4 - 1/3*p**3. Suppose u(g) = 0. Calculate g.
-1, 1
Let g = 0 - -3. Suppose 0*s + 6 = g*s. Determine q so that 3 - 2 - 3 + 2*q**s = 0.
-1, 1
Let n(u) be the second derivative of -1/8*u**2 + 1/24*u**4 + 0 + 0*u**3 - 3*u - 1/120*u**6 + 0*u**5. Factor n(k).
-(k - 1)**2*(k + 1)**2/4
Let j(u) = -u**2 + 7*u + 10. Let k be j(9). Let m = -6 - k. Suppose 0*v**m - 2/11*v**4 + 0*v + 0 - 2/11*v**3 = 0. Calculate v.
-1, 0
Let a(p) be the first derivative of -125*p**4/36 - 25*p**3/3 - 15*p**2/2 - 3*p - 5. Factor a(d).
-(5*d + 3)**3/9
Let i be ((-12)/10)/(2/(-15)). Suppose 0 = -2*s - s + i. Factor -5*u + 9*u - 8 - 6*u**2 + u**s + 8*u.
(u - 2)**3
Let 0*d**4 + 18*d**4 - 60*d**3 + 67*d**2 - 2*d**5 + 18 - 12*d**2 + 37*d**2 - 66*d = 0. Calculate d.
1, 3
Let i(j) be the third derivative of j**4/6 - j**3 - 12*j**2. Let y be i(2). Let 12/5*v**y + 6/5 + 3*v + 3/5*v**3 = 0. What is v?
-2, -1
Suppose -16*u = -17*u + 6. Let y(r) be the third derivative of -1/33*r**3 - 1/165*r**u - 1/1155*r**7 - 1/55*r**5 + 0*r + 3*r**2 - 1/33*r**4 + 0. Factor y(m).
-2*(m + 1)**4/11
Let r(g) be the third derivative of -g**6/180 - g**5/20 - g**4/6 - g**3/2 + g**2. Let d(a) be the first derivative of r(a). Factor d(b).
-2*(b + 1)*(b + 2)
Let v(p) be the second derivative of p**4/6 - 28*p**3/3 + 196*p**2 + 52*p. Factor v(n).
2*(n - 14)**2
Let o = 30 - 30. Let n(h) be the second derivative of 2/105*h**6 + 0*h**5 - 1/147*h**7 - 1/21*h**4 + h + o*h**2 + 1/21*h**3 + 0. Factor n(g).
-2*g*(g - 1)**3*(g + 1)/7
Let v(i) be the third derivative of 0*i**3 + 1/210*i**5 + 0 - 1/42*i**4 - 3*i**2 + 0*i. Determine y so that v(y) = 0.
0, 2
Let u(d) be the first derivative of d**6/100 + 7*d**5/150 + d**4/30 - d**2/2 + 1. Let l(r) be the second derivative of u(r). Find k such that l(k) = 0.
-2, -1/3, 0
Let l(h) be the first derivative of -9*h**4/4 + 4*h**3 + 6*h**2 + 7. Solve l(b) = 0.
-2/3, 0, 2
Let d = -3 + 8. Let f be 8/d + 2/5. Factor 3*h**f + h + h**2 - 5*h**2.
-h*(h - 1)
Let w(d) be the first derivative of -1/9*d**3 - 16/3*d + 5 - 4/3*d**2. Factor w(a).
-(a + 4)**2/3
Let l(w) be the first derivative of w**7/63 - w**6/15 + w**5/10 - w**4/18 + 2*w - 3. Let t(z) be the first derivative of l(z). Let t(i) = 0. What is i?
0, 1
Let t(h) be the second derivative of -h**6/6 + h**5/4 + 5*h**4/12 - 5*h**3/6 - 25*h. Factor t(o).
-5*o*(o - 1)**2*(o + 1)
Let b(w) = -w**3 + w. Let p(c) = 3*c**3 - 5*c - 4*c**3 + 0*c**2 - 3*c**2 - 3*c**4. Let d(n) = -5*b(n) - p(n). Let d(t) = 0. Calculate t.
-1, 0
Let t be (-24)/(-11) + 3*4/(-66). Let d(h) = -h - 2. Let c be d(-4). Factor -4 + v**t + v**2 - 4*v**2 + 6*v + 0*v**c.
-2*(v - 2)*(v - 1)
Let k = 839 - 837. Factor 3/4*x**k - 3*x + 9/4.
3*(x - 3)*(x - 1)/4
Let a = 919 - 919. Determine k, given that 2/7*k**3 + 0*k - 2/7*k**5 + 2/7*k**4 + a - 2/7*k**2 = 0.
-1, 0, 1
Let x(d) be the first derivative of 1/6*d**4 + 4/9*d**3 + 0*d**2 + 0*d - 4 - 2/15*d**5. Factor x(g).
-2*g**2*(g - 2)*(g + 1)/3
Suppose 13/2*y**3 + 2/3 - 4*y - 15/2*y**4 + 29/6*y**2 - 9/2*y**5 = 0. What is y?
-2, -1, 1/3, 2/3
Let p(u) be the first derivative of 4*u**2 + 3 - 3/2*u**4 + 0*u**3 + 0*u - 2/5*u**5. Factor p(y).
-2*y*(y - 1)*(y + 2)**2
Let r(b) be the first derivative of -2*b**4 + 44*b**3/3 - 20*b**2 - 32*b - 8. Determine h so that r(h) = 0.
-1/2, 2, 4
Let k(j) = 120*j**4 - 72*j**3 + 8*j**2 + 4*j. Let r(q) = 120*q**4 - 73*q**3 + 8*q**2 + 3*q. Let u(v) = -3*k(v) + 4*r(v). What is c in u(c) = 0?
0, 2/15, 1/2
Let l(v) = -v**2 + 4*v + 7. Let h(y) = -y**3 - y + 5. Let p be h(0). Let s be l(p). Factor 2*d**s + 0*d**2 + 3 - 5 + 0.
2*(d - 1)*(d + 1)
Let d(z) be the third derivative of -z**7/280 - z**6/20 - 21*z**5/80 - 11*z**4/16 - z**3 - 59*z**2. Determine c so that d(c) = 0.
-4, -2, -1
Let u = -5 + 11/2. Solve -u*s**4 + 0*s + 0 + 1/2*s**2 + 0*s**3 = 0.
-1, 0, 1
Let r(w) be the first derivative of 2*w**5/55 + 2*w**4/11 + 4*w**3/11 + 4*w**2/11 + 2*w/11 + 3. Let r(k) = 0. What is k?
-1
Let h(b) be the third derivative of -b**5/240 - b**4/24 + 5*b**3/24 + 14*b**2. Suppose h(c) = 0. Calculate c.
-5, 1
Let b(g) = -248*g**2 + 211*g - 43. Let i(y) = y**2 + y - 1. Let p(n) = b(n) + 5*i(n). Suppose p(f) = 0. What is f?
4/9
Let y(c) be the third derivative of c**6/120 + c**5/10 + 3*c**4/8 + 7*c**2. Determine z, given that y(z) = 0.
-3, 0
Let l(y) be the second derivative of -y**6/6 - y**5 - 25*y**4/12 - 5*y**3/3 - 16*y. Determine n so that l(n) = 0.
-2, -1, 0
Let d(j) = 3*j**2 - 3*j + 2. Let k be d(1). Factor -1/2*o**k + 0*o + 1/2.
-(o - 1)*(o + 1)/2
Suppose 2*v = -0 + 6. Suppose 4*r + 12 = t - 6*t, -5*r = -v*t - 22. Solve 1/2*d**r + 0*d + 0 - 1/2*d**3 = 0.
0, 1
Let q(x) be the second derivative of 17/72*x**4 - 3/20*x**5 + 0 + 0*x**3 - 1/3*x**2 + 1/36*x**6 + x. Factor q(f).
(f - 2)*(f - 1)**2*(5*f + 2)/6
Let r(a) be the third derivative of a**8/112 - 9*a**7/70 + 3*a**6/5 - 4*a**5/5 - 6*a**2. Factor r(z).
3*z**2*(z - 4)**2*(z - 1)
Solve -k**3 + 4/3*k**4 + 4/3*k**5 - 4/3*k**2 - 1/3*k + 0 = 0 for k.
-1, -1/2, 0, 1
Factor 0 + 2/13*m**2 - 2/13*m.
2*m*(m - 1)/13
Let j(h) be the third derivative of -7*h**6/360 - 37*h**5/180 - 13*h**4/18 - 2*h**3/3 + 4*h**2. Determine m so that j(m) = 0.
-3, -2, -2/7
Determine a, given that -2/3 + 2*a + 8/3*a**2 = 0.
-1, 1/4
Suppose 0 = 4*l - 5*t + 24, 3*t - 24 = 4*l + 4*t. Let q = 8 + l. Factor -5*g**4 - 8*g**3 - 2 - g**4 - 8*g - 12*g**q + 4*g**4.
-2*(g + 1)**4
Let y(w) be the first derivative of 3*w**4/16 - w**3/4 - 3*w**2/8 + 3*w/4 + 12. Suppose y(g) = 0. What is g?
-1, 1
Let z(f) be the first derivative of -9*f**5/5 - 11*f**4/4 + 52*f**3/3 + 6*f**2 - 52. What is a in z(a) = 0?
-3, -2/9, 0, 2
Let v(c) be the second derivative of -c**7/273 - c**6/195 + c**5/65 + c**4/39 - c**3/39 - c**2/13 + 3*c. Factor v(i).
-2*(i - 1)**2*(i + 1)**3/13
Suppose 5*c + 20 = 0, 2*r + 4*c + 6 = -6. Let h be 6/(-9) - ((-19)/6 - -2). Suppose -h - d - 1/2*d**r = 0. What is d?
-1
Let r(u) be the second derivative of u - 2/15*u**3 + 0 - 7/100*u**5 - 4/15*u**4 + 0*u**2. Let r(g) = 0. What is g?
-2, -2/7, 0
Let n = 31 + -31. Factor -1/4 + n*w + 1/4*w**2.
(w - 1)*(w + 1)/4
Let d(h) be the first derivative of -h**7/105 - h**6/20 - h**5/10 - h**4/12 - h**2/2 + 2. Let y(o) be the second derivative of d(o). What is p in y(p) = 0?
-1, 0
Let h(i) = -i**3 + 7*i**2 + i - 5. Let p be h(7). Solve -6*b**4 - 6*b**3 + 0*b**p + b**2 + 4 - 3*b**2 + 6*b + 4*b**4 = 0 for b.
-2, -1, 1
Suppose -2/5*j**2 - 3/5*j**3 + 0 - 1/5*j**4 + 0*j = 0. What is j?
-2, -1, 0
Factor 2/13*r**3 + 0*r + 0 + 0*r**2 + 4/13*r**4 + 2/13*r**5.
2*r**3*(r + 1)**2/13
Let j(n) be the second derivative of n**7/42 - n**6/10 + n**5/20 + n**4/4 - n**3/3 - 8*n. Factor j(s).
s*(s - 2)*(s - 1)**2*(s + 1)
Let g = 6 - 12. Let z be (9/g)/(1/(-2)). Let -t**z + t + 0*t**3 + 3*t**2 + 1 - 4*t**2 + 0*t**2 = 0. What is t?
-1, 1
Let z(s) = -11*s**4 + 11*s**3 + 15*s**2 - 19*s + 13. Let i(m) = m**4 - m**3 - m**2 + m - 1. Let o(b) = -18*i(b) - 2*z(b). Find g such that o(g) = 0.
-2, 1
Suppose 3*h = 2*h + 3. Let i(f) be the second derivative of -1/3*f**4 + 0 - 1/3*f**h - 1/10*f**5 + 0*f**2 + 3*f. Factor i(r).
-2*r*(r + 1)**2
Let x(g) be the first derivative of 7 - 5/12*g**3 - g**2 - g - 1/16*g**4. Suppose x(j) = 0. What is j?
-2, -1
Suppose 0*p = 2*p + 3*p. Let z(k) be the third derivative of -1/105*k**5 + 1/420*k**6 + 0*k**4 + p*k - 2*k**2 + 0 + 1/245*k**7 + 0*k**3. Factor z(o).
2*o**2*(o + 1)*(3*o - 2)/7
Let w be (10/5)/(2/3). Let -3*f + 3*f**3 - 3*f**w + 4*f**2 - f**3 = 0. Calculate f.
0, 1, 3
Let s be (-1)/4*760/(-95). Let v be 2/(-8)*(-17 - 1). Determine t, given that 0 - v*t**s + 3/2*t = 0.
0, 1/3
Let j(c) be the second derivative of c**5/70 + 2*c**4/21 + 5*c**3/21 + 2*c**2/7 - 15*c. Let j(p) = 0. What is p?
-2, -1
Let f(u) be the first derivative of u**6/12 - 3*u**5/10 + u**4/8 + u**3/2 - u**2/2 - 19. Factor f(b).
b*(b - 2)*(b - 1)**2*(b + 1)/2
Find k such that 4/7*k**4 + 0 + 0*k - 1/7*k**3 + 0*k**2 = 0.
0, 1/4
Factor 41*w**3 - 91*w**3 - 20*w**3 - 4*w**2.
-2*w**2*(35*w + 2)
Let d(b) be the first derivative of b**3/7 - 3*b/7 + 3. Factor d(l).
3*(l - 1)*(l + 1)/7
Let o(