*g + 1)/5
Let s = 5 - 7. Let z be (-3)/s*(-20)/(-15). Solve 2*o**2 - z*o**4 + 2*o + o**3 + 0*o - 3*o**3 = 0 for o.
-1, 0, 1
Let g(j) be the third derivative of -7*j**6/40 + j**5/10 + 7*j**4/8 - j**3 + 29*j**2. Factor g(t).
-3*(t - 1)*(t + 1)*(7*t - 2)
Let o(p) be the third derivative of p**5/40 - p**4/16 - p**3/2 - p**2. Let o(n) = 0. Calculate n.
-1, 2
Find g, given that 1/6*g**4 + 1/2*g**3 + 0 + 1/2*g**2 + 1/6*g = 0.
-1, 0
Let o = -20 + 25. Let j(d) be the first derivative of -3/4*d**4 - 2 + d**3 + 1/5*d**o - 1/2*d**2 + 0*d. Suppose j(h) = 0. What is h?
0, 1
Let 0 + 2/3*x**3 + 0*x - 2/3*x**5 + 0*x**4 + 0*x**2 = 0. Calculate x.
-1, 0, 1
Let k = 15 - 5. Let s = -6 + k. Factor -3*a**2 - 2*a**2 - 3*a + 0*a**4 + 1 - a**4 + 5*a**s + 3*a**3.
(a - 1)*(a + 1)**2*(4*a - 1)
Let i(l) = l - 6 + 1 + 1 - 2. Let j be i(8). Factor -j*d**2 + 0 - 9 + 1 - 8*d.
-2*(d + 2)**2
Let k(l) be the third derivative of -l**5/20 - l**4/2 - 3*l**3/2 + 33*l**2. Factor k(m).
-3*(m + 1)*(m + 3)
Let o = 300 - 276. Let -6*s**4 + o*s - 3/2*s**5 + 24*s**2 + 0 + 0*s**3 = 0. What is s?
-2, 0, 2
Suppose v = -5*u + 10, 0*u = 2*u + 4*v - 4. Solve 0*h + 0 + 2/11*h**3 + 0*h**u = 0.
0
Factor 0*s**4 + 0 - 2/3*s**5 - 2/3*s + 0*s**2 + 4/3*s**3.
-2*s*(s - 1)**2*(s + 1)**2/3
Let k(h) be the first derivative of -5*h**3/3 - 10*h**2 - 15*h + 17. Factor k(d).
-5*(d + 1)*(d + 3)
Let y(c) be the second derivative of 2*c**6/5 - 3*c**5/4 - 7*c**4/4 + c**3 - 16*c. Determine m so that y(m) = 0.
-1, 0, 1/4, 2
Let s(z) be the first derivative of -z**6/4 + z**5/10 + z**4/4 - 3. Factor s(l).
-l**3*(l - 1)*(3*l + 2)/2
Suppose -5*k = -4*o - 18, -3*o + 0*k + 4*k = 14. Let i be 2/(-8)*2/o. Suppose -1/4*b**4 + 1/2*b**2 - 1/4 + 1/4*b**5 - 1/2*b**3 + i*b = 0. What is b?
-1, 1
Let j = 127 + -125. Let s(i) be the second derivative of 1/120*i**6 - 2*i + 1/8*i**4 + 0 - 1/20*i**5 - 1/6*i**3 + 1/8*i**j. Solve s(r) = 0 for r.
1
Suppose 24*w - 1 = 71. Factor 0 + 1/4*k**5 + 1/4*k**2 - 1/4*k**4 - 3/4*k**w + 1/2*k.
k*(k - 2)*(k - 1)*(k + 1)**2/4
Find n such that -2*n**2 - 143*n**3 + 2*n**2 - 4*n**4 + 129*n**3 - 6*n**2 = 0.
-3, -1/2, 0
Factor 15/2*a**4 + 0 + a**2 + 0*a + 11/2*a**3.
a**2*(3*a + 1)*(5*a + 2)/2
Let d(z) be the second derivative of -z**7/2520 + z**4/4 + z. Let y(w) be the third derivative of d(w). What is m in y(m) = 0?
0
Let u = 0 + 4. Determine d, given that -d**2 - 23*d**2 + 35*d**u - 5*d**4 - 4*d**3 - 9*d**5 - 8*d**3 = 0.
-2/3, 0, 2
Suppose -2*u = 5*u. Let a(k) be the first derivative of -1/2*k**4 - 2/5*k**5 + 0*k + 2 + u*k**3 + 0*k**2. Solve a(p) = 0 for p.
-1, 0
Let m(u) be the second derivative of -u**6/40 - u**5/40 - 5*u**3/6 - 4*u. Let z(k) be the second derivative of m(k). Suppose z(o) = 0. What is o?
-1/3, 0
Suppose -11 - 13 = 4*g. Let y = g - -10. Suppose -1/3*w**y + 0 + 1/3*w**2 + 0*w + 0*w**3 = 0. Calculate w.
-1, 0, 1
Let s(z) be the first derivative of 1/4*z**3 + 1/8*z**6 - 3 - 3/16*z**4 + 0*z**2 + 0*z - 3/20*z**5. What is d in s(d) = 0?
-1, 0, 1
Suppose -2*z + 3*w - 39 = -2*w, -4*w = z. Let s(o) = 5*o**3 - 9*o**2 + 23*o - 31. Let g(m) = -m**3 + m + 1. Let r(y) = z*g(y) - 3*s(y). Factor r(i).
-3*(i - 3)**3
Let x(u) be the first derivative of 8405*u**3/3 + 410*u**2 + 20*u + 39. Factor x(g).
5*(41*g + 2)**2
Factor u + 0 - 1/2*u**2.
-u*(u - 2)/2
Let d(t) be the second derivative of -t**7/21 + t**6/15 + t**5/5 - t**4/3 - t**3/3 + t**2 - 5*t. Factor d(a).
-2*(a - 1)**3*(a + 1)**2
Let r(w) be the first derivative of 2*w**5/5 - 7*w**4/4 - 4*w**3/3 + 18. Suppose r(p) = 0. What is p?
-1/2, 0, 4
Let c(i) be the second derivative of i**4/15 + 2*i**3/15 + 2*i. Factor c(t).
4*t*(t + 1)/5
Let g(f) be the first derivative of -f**5/15 + 2*f**4/3 - 2*f**3 + 8*f**2/3 - 5*f/3 - 34. Factor g(x).
-(x - 5)*(x - 1)**3/3
Let c be 12/10*4/(-16). Let a = c + 29/30. Solve a*b**2 - 2/3*b**4 + 0 - 2/3*b**3 + 2/3*b = 0 for b.
-1, 0, 1
Suppose 0 = 2*i - 5*r - 30, -5*r + 0*r + 10 = 2*i. Let o be (-8)/(-20)*i/12. Factor 0 + 0*f - o*f**2 + 2/3*f**3 - 1/3*f**4.
-f**2*(f - 1)**2/3
Let g(s) be the first derivative of s**4/12 + s**3/3 + s**2/2 + 3*s + 1. Let p(x) be the first derivative of g(x). Solve p(o) = 0.
-1
Let u(y) be the third derivative of y**5/15 - 2*y**4/3 + 8*y**3/3 + 47*y**2. Solve u(w) = 0 for w.
2
Suppose m = 19 - 15. Let l(n) be the third derivative of 0*n**3 + 2*n**2 + 0*n + 0 - 1/30*n**5 + 1/12*n**m. Solve l(h) = 0.
0, 1
Let o(q) = -3 + 0 - 4*q - 5*q**2 + q**2 + q. Let s(u) = -12*u**2 - 8*u - 8. Let n(d) = -8*o(d) + 3*s(d). Let n(r) = 0. What is r?
0
Suppose f - 2 = 2. Let q(u) be the second derivative of -3*u + 0*u**3 - 1/42*u**f + 0 + 1/7*u**2. Solve q(s) = 0 for s.
-1, 1
Let x(c) be the first derivative of -c**6/36 - c**5/2 - 7*c**4/12 + 33. Factor x(b).
-b**3*(b + 1)*(b + 14)/6
Let l(z) be the first derivative of -25*z**3/3 - 5*z**2 - z - 5. Factor l(t).
-(5*t + 1)**2
Factor 1/2*c - 1/4 - 1/2*c**3 + 0*c**2 + 1/4*c**4.
(c - 1)**3*(c + 1)/4
Let q be ((-33)/(-8))/(3/(-4)). Let d = q + 59/10. Factor -d*l**2 + 2/5*l**3 - 4/5*l + 0.
2*l*(l - 2)*(l + 1)/5
Let r(z) = -z**2 - 4*z + 7. Let m(b) = b**3 + b - 5. Let u be m(0). Let x be r(u). Let -o**2 - o**x + 0*o**2 + 0 + 2 = 0. What is o?
-1, 1
Let r(y) be the second derivative of -1/12*y**3 + 1/84*y**7 + y + 0*y**2 + 0 - 1/30*y**6 + 0*y**5 + 1/12*y**4. Factor r(u).
u*(u - 1)**3*(u + 1)/2
Let v = 114 + -110. What is j in 2/9*j**3 + 0 + 0*j - 2/9*j**5 + 2/9*j**2 - 2/9*j**v = 0?
-1, 0, 1
Let r = -1/5719 + 99679/28595. Let l = r + -16/5. Factor 2/7*g**5 - 4/7*g**2 + 2/7*g**4 - 4/7*g**3 + l*g + 2/7.
2*(g - 1)**2*(g + 1)**3/7
Let a(n) be the second derivative of -n**4/66 - 4*n**3/33 - 4*n**2/11 - 5*n. Factor a(j).
-2*(j + 2)**2/11
Let v(m) = -3 + 0 - 6 + m**2 - 5*m + 0. Let d be v(7). Suppose 3/2*x - x**2 - x**3 + 3/2*x**4 - 1/2 - 1/2*x**d = 0. What is x?
-1, 1
Let s(h) be the second derivative of -h**6/30 - h**5/10 + h**4/3 + h**3/3 - 3*h**2/2 - 23*h. Let s(p) = 0. Calculate p.
-3, -1, 1
Let r be 0 + (-6)/(1 + -4). Let -1 + 2*l**r - 4*l**2 + 0*l - 1 + 4*l = 0. What is l?
1
Let y(g) = g**3 + 5*g**2 - g - 3. Let i be y(-5). Suppose 0 = 5*x - 5*w - 25, -4*x + 0*w + w = -23. Find s, given that -5 - 4*s**i + 2*s**2 + x*s + 1 = 0.
1, 2
Let l(t) be the third derivative of -t**7/210 - t**6/48 - t**5/40 + t**4/48 + t**3/12 - 17*t**2. Factor l(o).
-(o + 1)**3*(2*o - 1)/2
Let k(m) be the third derivative of m**6/200 + 3*m**5/50 + 3*m**4/10 + 4*m**3/5 + 9*m**2. Solve k(s) = 0.
-2
Suppose -5*w = -9*w. Suppose -2*o + 0*o = w, -a + 2*o = -3. Factor 0*y**2 - 2/5*y + 2/5*y**a + 0.
2*y*(y - 1)*(y + 1)/5
Factor 0*s - 4/7*s**3 + 0 + 2/7*s**4 + 2/7*s**2.
2*s**2*(s - 1)**2/7
What is h in 5 + 5*h**2 - 5 - 15*h = 0?
0, 3
Factor 0*i + 2/7*i**2 + 0.
2*i**2/7
Let j(m) be the second derivative of -m**6/75 + m**5/50 + m**4/30 - m**3/15 + m. Determine r so that j(r) = 0.
-1, 0, 1
Let w(v) be the first derivative of -3/10*v**2 + 2/5*v**3 + 2 + 0*v - 3/20*v**4. Factor w(h).
-3*h*(h - 1)**2/5
Factor 0*v**3 - 2*v**3 - 3*v + 2*v**3 + v**3 - 2.
(v - 2)*(v + 1)**2
Let p(x) be the first derivative of 0*x**5 - 1/6*x**4 + 0*x**2 + 0*x**3 + 1 + 0*x + 1/9*x**6. Let p(d) = 0. Calculate d.
-1, 0, 1
Let y(o) be the third derivative of o**7/315 + o**6/90 - o**5/90 - o**4/18 - 13*o**2. Determine s so that y(s) = 0.
-2, -1, 0, 1
Let a(u) be the third derivative of 0 + 0*u + 1/9*u**3 - 5*u**2 + 1/54*u**4 - 1/270*u**5. Factor a(m).
-2*(m - 3)*(m + 1)/9
Suppose -473 = -4*w + 455. Factor 3*i**4 + w*i**2 + 336*i - 52*i**2 + 54*i**3 - 15*i**3 + 192.
3*(i + 1)*(i + 4)**3
Let c(o) be the first derivative of -3 - 3/2*o**3 - 1/2*o + 1/2*o**4 + 3/2*o**2. Suppose c(l) = 0. Calculate l.
1/4, 1
Let y be 17*2/120 - 2/8. Let t(c) be the second derivative of -y*c**5 + 1/9*c**3 + 0*c**2 - 2*c + 0 + 0*c**4. Suppose t(h) = 0. What is h?
-1, 0, 1
Let d(n) = -4*n**2 - 25*n - 21. Let o(s) = 44*s**2 + 276*s + 232. Let w(p) = 32*d(p) + 3*o(p). Factor w(l).
4*(l + 1)*(l + 6)
Let -3*x**3 + 2*x**2 + 4*x**2 - 12 - 19*x**2 + 7*x**2 + 21*x = 0. Calculate x.
-4, 1
Let d be 2*(45/6)/3. Let y be (-2)/d - (-4)/5. Determine h, given that y*h**2 + 0 + 0*h - 2/5*h**3 = 0.
0, 1
Let s(r) be the second derivative of -r**6/540 - r**5/180 + r**3 + r. Let x(a) be the second derivative of s(a). Factor x(o).
-2*o*(o + 1)/3
Let m(p) be the third derivative of -p*