n that -l**4 + 5*l + 3*l**3 - 5*l**3 - u - 3*l + 2*l**4 = 0.
-1, 1
Let d(u) be the first derivative of -u**6/120 + u**4/24 + u**2/2 + 1. Let v(n) be the second derivative of d(n). What is s in v(s) = 0?
-1, 0, 1
Let w be (9/(-6) - 0)*2. Let t(d) = -d - 3. Let z be t(w). Let z - 1/4*x**2 + 0*x = 0. Calculate x.
0
Let p = 1212 + -3632/3. Suppose -p*s**2 + 4/3 + 0*s = 0. Calculate s.
-1, 1
Let b(c) = -5*c**2 - 8*c - 9. Let w(q) = q**2 + 1. Let l(z) = b(z) + 3*w(z). Suppose l(p) = 0. Calculate p.
-3, -1
Let j = 29 - 27. Let 1/2*a + 1/4*a**j + 1/4 = 0. What is a?
-1
Factor -10 - 2/5*t**3 - 14*t - 22/5*t**2.
-2*(t + 1)*(t + 5)**2/5
Let p(h) be the first derivative of -h**7/420 - h**6/180 + h**5/30 - 5*h**3/3 + 4. Let w(z) be the third derivative of p(z). Suppose w(v) = 0. Calculate v.
-2, 0, 1
Let g(u) = -u**3 - 3*u**2 + 2*u - 5. Let w be g(-4). Factor 1/3*s**2 + 1/3*s**4 + 0 + 0*s + 2/3*s**w.
s**2*(s + 1)**2/3
Let n(t) be the second derivative of t**7/2100 + t**3/3 + 5*t. Let g(y) be the second derivative of n(y). Factor g(i).
2*i**3/5
Suppose 0 = -4*a + 3*g + 9, -4*a + 12 = -3*a - 4*g. Factor a*d**2 - 3*d**2 + 4*d**2 - 3*d**2.
-2*d**2
Let y(k) be the second derivative of k**6/180 + k**5/20 + 13*k**4/72 + k**3/3 + k**2/3 + 7*k. Factor y(n).
(n + 1)**2*(n + 2)**2/6
Let f(i) be the second derivative of -i**4/60 - i**3/30 + 5*i. Factor f(l).
-l*(l + 1)/5
Let o(b) be the first derivative of 4*b**3/21 - 5*b**2/7 + 4*b/7 + 8. Factor o(g).
2*(g - 2)*(2*g - 1)/7
Let a(w) be the first derivative of 1/4*w**2 + 5/24*w**3 + 1/12*w**4 + 1/80*w**5 - 4 + 2*w. Let h(p) be the first derivative of a(p). Solve h(y) = 0.
-2, -1
Suppose -13*o**5 - 7*o**2 + 10*o**3 + 21*o**5 + 11*o**2 - 22*o**4 = 0. Calculate o.
-1/4, 0, 1, 2
Let d(f) be the first derivative of 7*f**6/6 + f**5 - 9*f**4/4 - 5*f**3/3 + f**2 + 8. Factor d(a).
a*(a - 1)*(a + 1)**2*(7*a - 2)
Let q(r) be the second derivative of -2*r**2 + 3*r + 0 + 1/3*r**3 + 1/6*r**4. Solve q(d) = 0 for d.
-2, 1
Let g(i) = i - 4. Let n be g(6). Solve 0*w**4 - w**3 - 4*w**4 + 4*w**n + 0*w**3 + w + 0*w**3 = 0.
-1, -1/4, 0, 1
Suppose -18 = -5*c + v, -5*v + 2*v = -4*c + 10. Let l(r) be the third derivative of 0*r + 2*r**2 + 0*r**c - 1/15*r**3 + 1/150*r**5 + 0. Let l(b) = 0. What is b?
-1, 1
Let t(k) be the first derivative of -k**4/36 - k**3/9 - k**2/6 - k - 4. Let c(x) be the first derivative of t(x). Determine u so that c(u) = 0.
-1
Suppose b + 31 = 37. Let p(c) be the second derivative of 1/6*c**3 + 1/2*c**2 + 1/30*c**b - 1/10*c**5 - 1/6*c**4 + 1/42*c**7 + 0 - c. Factor p(m).
(m - 1)**2*(m + 1)**3
Let a be (-140)/42*6/(-5). Let x(h) be the first derivative of 8/3*h**2 + 1 + 1/6*h**a + 10/9*h**3 + 8/3*h. Suppose x(w) = 0. What is w?
-2, -1
Let h(k) = 3*k**2 + 24*k - 9. Let b(r) = -r**2 - 6*r + 2. Let g(j) = 9*b(j) + 2*h(j). Solve g(t) = 0.
-2, 0
Let x be 5/1 - 5/((-30)/(-18)). Find o, given that -2*o + 1/2*o**3 + 1/2*o**5 - 2*o**4 - 4 + 5*o**x = 0.
-1, 2
Let p(a) be the first derivative of -2 - 2*a**2 + 0*a - 2/3*a**3 - 1/3*a**6 + 2/5*a**5 + 3/2*a**4. Let p(x) = 0. Calculate x.
-1, 0, 1, 2
Let t = 571/45 + 1/9. Factor t*a + 98/5*a**3 - 8/5 - 154/5*a**2.
2*(a - 1)*(7*a - 2)**2/5
Let g(f) = f**2 + 7*f + 2. Let u be g(-7). Factor 2*z**u + 2*z + 4 - 7*z**2 + 3*z**2 + 0*z**2.
-2*(z - 2)*(z + 1)
Let w(b) be the first derivative of 3*b**5/5 + 2*b**4 - 5*b**3 + 2*b**2 + 40. Factor w(s).
s*(s - 1)*(s + 4)*(3*s - 1)
Let b(q) = q**5 + 7*q**4 + 9*q**3 - 16*q**2 + 17*q - 9. Let j(t) = 2*t**4 + 2*t**3 - 4*t**2 + 4*t - 2. Let z(h) = -2*b(h) + 9*j(h). Factor z(v).
-2*v*(v - 1)**3*(v + 1)
Let w(v) = 4*v**3 + 3*v**2 - 5*v + 1. Let n(a) = 3*a**3 + 3*a**2 - 4*a. Let s(c) = -5*n(c) + 4*w(c). Suppose s(k) = 0. What is k?
-1, 2
Factor 2/3*s**3 + 0 + 2/3*s**4 - 2/3*s**5 - 2/3*s**2 + 0*s.
-2*s**2*(s - 1)**2*(s + 1)/3
Let g be 5/14*(-72)/(-30). What is k in -2/7 - g*k - 4/7*k**2 = 0?
-1, -1/2
Let c be ((-4)/(-26))/((-2)/(-26)). Determine s so that -1/3*s**c + 1/3 + 0*s = 0.
-1, 1
Determine t, given that 1/4*t**2 + 1/2*t - 3/8 - 1/2*t**3 + 1/8*t**4 = 0.
-1, 1, 3
Let h(c) be the third derivative of 0*c**3 + 1/8*c**4 + 0 + 3*c**2 + 0*c - 1/20*c**5. Factor h(o).
-3*o*(o - 1)
Let w be (-3)/(-5) + (-4)/(-10). Suppose -2*y + 3 = -w. Factor -1/2*h + 1/4*h**y + 1/4.
(h - 1)**2/4
Let -2/3*s**4 + 2/3*s**3 + 2/3*s**2 + 0*s + 0 - 2/3*s**5 = 0. Calculate s.
-1, 0, 1
Let l(f) be the third derivative of f**6/180 + f**5/90 + f**2 + 2. Solve l(c) = 0.
-1, 0
Let r(o) be the third derivative of 0*o + 1/40*o**4 - 1/200*o**6 + 0 - 1/5*o**3 - 4*o**2 + 1/50*o**5. Solve r(h) = 0 for h.
-1, 1, 2
Let a = 1 + 0. Let y be 1/(-1) + 3 + a. Factor -2/3*b + 10/3*b**2 - 2*b**y - 6*b**4 + 0.
-2*b*(b + 1)*(3*b - 1)**2/3
Let b(h) be the second derivative of -h**7/273 - 3*h**6/65 - 27*h**5/130 - 9*h**4/26 - 3*h. What is j in b(j) = 0?
-3, 0
Suppose -4*o + 6 + 2 = 0. Let l(x) = x**3 - 9*x**2 + 15*x - 3. Let h be l(7). Suppose -2/5*t**3 + 4/5*t**h + 0*t**o + 0 + 0*t - 2/5*t**5 = 0. Calculate t.
0, 1
Let b = 8 + -2. Let f be b/8 - 14/(-24). Solve -f*i**2 - 2/3*i**3 + 0 - 2/3*i = 0.
-1, 0
Suppose -4*h = -2*l - 10, -3*l + 2*h - h + 10 = 0. Let o = l - 5. What is t in 1/5*t**5 + o*t + 1/5*t**2 + 0 - 1/5*t**4 - 1/5*t**3 = 0?
-1, 0, 1
Let h(p) be the second derivative of -p**4/3 - 2*p**3/3 + 4*p**2 + 14*p. Let h(s) = 0. What is s?
-2, 1
Let q(y) be the third derivative of 1/140*y**7 - 1/60*y**5 + 1/672*y**8 + 0*y + 1/120*y**6 + 3*y**2 - 1/16*y**4 + 0 - 1/12*y**3. Solve q(o) = 0 for o.
-1, 1
Let u(x) be the third derivative of -x**5/20 - x**4/2 - 2*x**3 - 4*x**2. Factor u(o).
-3*(o + 2)**2
Suppose -4*b = -33 + 5. Let g(s) = s**3 - 7*s**2 + s - 7. Let j be g(b). Factor 2*m + m**3 + j*m**3 - 3*m + 0*m.
m*(m - 1)*(m + 1)
Determine w, given that -4/11*w**4 + 0 + 6/11*w**5 - 18/11*w**3 + 0*w**2 + 8/11*w = 0.
-1, 0, 2/3, 2
Let h be (0 - -1)*1/36. Let k(a) be the second derivative of 0*a**2 - 1/120*a**5 + 0 + h*a**3 + 2*a + 0*a**4. Factor k(u).
-u*(u - 1)*(u + 1)/6
Let m(y) = -y**2 + 2*y - 2. Let t(k) be the third derivative of -k**5/10 + 5*k**4/8 - 5*k**3/2 + 2*k**2. Let z(a) = -15*m(a) + 2*t(a). Factor z(c).
3*c**2
Let h(v) be the third derivative of -2*v**7/525 - v**6/100 + v**4/60 - 5*v**2. Factor h(b).
-2*b*(b + 1)**2*(2*b - 1)/5
Let a(b) be the first derivative of b**6/1260 - b**5/105 + b**4/21 - 2*b**3/3 - 3. Let z(n) be the third derivative of a(n). Factor z(h).
2*(h - 2)**2/7
Let t(q) = 6*q**3 + 9*q**2 + 3*q. Let m(x) = -7*x**3 - 10*x**2 - 4*x. Let s(k) = -3*m(k) - 4*t(k). Suppose s(d) = 0. What is d?
-2, 0
Let s be (-1 - -23)/(-1 + -6) - -4. Suppose 4/7 + 2/7*l**2 - s*l = 0. Calculate l.
1, 2
Factor -1/7*o**2 - 2/7 - 3/7*o.
-(o + 1)*(o + 2)/7
Let s be (0 - 0) + (270/(-20) - -15). Factor 1/2*g**5 + s*g + 1 - g**2 + 0*g**4 - 2*g**3.
(g - 2)*(g - 1)*(g + 1)**3/2
Let d(t) be the third derivative of -t**5/270 - 2*t**4/27 - 4*t**3/9 + 37*t**2. Factor d(v).
-2*(v + 2)*(v + 6)/9
Let w = -82/5 + 1096/65. Factor -w*l - 10/13*l**2 + 4/13.
-2*(l + 1)*(5*l - 2)/13
Determine w so that -38/13*w + 8*w**2 - 70/13*w**3 + 4/13 = 0.
1/5, 2/7, 1
Suppose 16*h - 57 = 23. Find u such that -5/4*u**4 + 5/4*u + 5/2*u**3 - 5/2*u**2 - 1/4 + 1/4*u**h = 0.
1
Let y(m) be the first derivative of -3*m**6/20 + 3*m**5/40 + m**4/4 + 5*m - 7. Let z(u) be the first derivative of y(u). What is d in z(d) = 0?
-2/3, 0, 1
Let i(w) be the second derivative of 0*w**2 + 1/42*w**4 + 0 + 2*w + 1/21*w**3. Determine r so that i(r) = 0.
-1, 0
Let s(f) = 3*f**2 + 14*f + 31. Let g(l) = 3*l**2 + 15*l + 30. Let z(j) = 4*g(j) - 3*s(j). Let z(w) = 0. Calculate w.
-3
Let x(y) be the second derivative of -3*y**6/10 - y**5/10 + 9*y**4/4 - 2*y**3 - 2*y**2 + 7*y. Factor x(j).
-(j - 1)**2*(j + 2)*(9*j + 2)
Let n(t) be the third derivative of 0*t + 1/240*t**5 - 2*t**2 + 0 - 1/24*t**3 - 1/96*t**4 + 1/480*t**6. Factor n(r).
(r - 1)*(r + 1)**2/4
Factor 2/3*g**2 + 8/3 - 40/9*g.
2*(g - 6)*(3*g - 2)/9
Suppose -4*w + 137 - 3169 = 0. Let m = 5318/7 + w. Suppose m*o**2 + 2/7*o**4 + 8/7*o + 8/7*o**3 + 2/7 = 0. What is o?
-1
Let y(k) = -29*k**4 + 2*k**3 + 18*k**2 + 9*k + 11. Let d(c) = -10*c**4 + c**3 + 6*c**2 + 3*c + 4. Let f(i) = 11*d(i) - 4*y(i). Solve f(w) = 0.
-1, -1/2, 0, 1
Let r(n) be the second derivative of -n**8/1512 + 2*n**7/945 - n**5/135 + n**4/108 - 