rd derivative of -1/60*m**4 + 0*m**3 - 3*m**2 - 1/75*m**5 - 1/300*m**6 + 0 + 0*m. Suppose d(s) = 0. What is s?
-1, 0
Let g(t) be the first derivative of -t**3/3 + 3*t**2 + 10*t + 4. Let k be g(7). Factor 4/7*y + 0 - 10/7*y**k + 6/7*y**2.
-2*y*(y - 1)*(5*y + 2)/7
Find k, given that 50/13*k**3 - 50/13*k + 4/13 - 4/13*k**2 = 0.
-1, 2/25, 1
Suppose -2 = 19*t - 2. Find x, given that t*x**2 - 4/5*x**5 + 8/5*x**3 + 0*x**4 - 4/5*x + 0 = 0.
-1, 0, 1
Let b(d) be the first derivative of -d**5/5 + d**4/2 - 15. Let b(f) = 0. What is f?
0, 2
Factor -35*f**5 + 6*f**2 - 5*f**4 + 37*f**5 - f**4 - 2*f**3.
2*f**2*(f - 3)*(f - 1)*(f + 1)
Let r be ((-2)/6)/(3/(-117)). Find o, given that -o + r*o**2 + 0*o - 14*o**2 = 0.
-1, 0
Let u(t) be the third derivative of t**7/70 - t**6/20 - 2*t**5/5 + 9*t**4/4 - 9*t**3/2 - 5*t**2. Determine l so that u(l) = 0.
-3, 1, 3
Let n(w) be the first derivative of 1/20*w**4 + 1/5*w**3 + 2 + 1/5*w + 3/10*w**2. Factor n(l).
(l + 1)**3/5
Suppose 0 - 1/4*d**2 - 3/4*d**4 + 3/4*d**3 + 1/4*d**5 + 0*d = 0. Calculate d.
0, 1
Let k(o) = 5*o**4 - 10*o**2 - 6*o - 1. Let s(x) = -x**3 - x**2 - x - 1. Let w(c) = -k(c) + 3*s(c). What is p in w(p) = 0?
-1, 2/5, 1
Let i = 7 + -5. Suppose -2 + 4*p**5 - 2*p**4 + p**2 + i*p**3 - 2*p**5 + 2*p - 6*p**3 + 3*p**2 = 0. What is p?
-1, 1
Factor 0*j + 2*j - 4*j - 15*j**2.
-j*(15*j + 2)
Suppose l - 3 = -0*l. Find r such that 6*r**2 - 3*r + 5*r**3 - r**3 - 7*r**l = 0.
0, 1
Let x = -3 + 5. Let 4*z**3 + 4*z**4 - 4*z**4 + 4*z - z**4 - 1 - 6*z**x = 0. What is z?
1
Let q(t) be the first derivative of 0*t**3 - 3 + 0*t**2 + 0*t - t**4 - 4/5*t**5. Find x such that q(x) = 0.
-1, 0
Let j(a) be the third derivative of 11*a**5/75 - 13*a**4/30 + 4*a**3/15 + 4*a**2. Factor j(s).
4*(s - 1)*(11*s - 2)/5
Let i(x) = -7*x**2 - 15*x + 11. Let q(z) = -2*z**2 - 4*z + 3. Let h(p) = 6*i(p) - 22*q(p). Suppose h(a) = 0. What is a?
0, 1
Let g(z) be the third derivative of 7*z**8/72 + 8*z**7/15 - 3*z**6/5 + 8*z**5/45 - 25*z**2. Factor g(s).
2*s**2*(s + 4)*(7*s - 2)**2/3
Factor -2 + 6*p - 5/2*p**2 + 9/2*p**4 - 6*p**3.
(p - 1)*(p + 1)*(3*p - 2)**2/2
Let g(b) = -10*b**3 - 14*b**2 - 10*b - 2. Let h(k) = 11*k**3 + 14*k**2 + 10*k + 2. Let p(a) = 5*g(a) + 4*h(a). Factor p(r).
-2*(r + 1)**2*(3*r + 1)
Factor 2/5*i**3 + 0*i + 1/5*i**4 + 0*i**2 - 1/5*i**5 + 0.
-i**3*(i - 2)*(i + 1)/5
Let a(c) = 7*c**2 + 11*c - 5. Let g(d) = 8*d**2 + 12*d - 6. Let k(w) = 6*a(w) - 5*g(w). Factor k(f).
2*f*(f + 3)
Let s = 9 - 5. Let p(j) = 2*j**2 + 4*j - 6. Let l(z) = 4*z**2 + 9*z - 13. Let b(x) = s*l(x) - 9*p(x). Suppose b(d) = 0. Calculate d.
-1, 1
Let m be (-1 + (-2)/1)*-2. Suppose 0*w + m = 3*w. Solve -1/2 - 6*n**w + 7/2*n = 0.
1/4, 1/3
Let d = -1/752 + 1129/752. Solve -3/4*n**2 - d - 9/4*n = 0.
-2, -1
Factor -3/2*x**2 - 3/4*x + 3/2 + 3/4*x**3.
3*(x - 2)*(x - 1)*(x + 1)/4
Suppose 4*s = s + 15. Let f = s + -3. Solve -3*j + 4*j - 2*j - f + j**2 = 0 for j.
-1, 2
Let d be (10/(-6))/((-10)/12). Factor -8*y - 5 - 30*y**2 + 16*y**d + 12*y**2 - 3.
-2*(y + 2)**2
Let l = 5 - 3. Let b = -2 + 4. Solve -2*i**b - 2*i**3 - 2*i**l - 2*i + 0*i**2 = 0.
-1, 0
Let k(h) = h**3 + h**2 - h. Let y(j) = -j**5 + j**4 + 4*j**3 + 4*j**2 - 4*j. Let u(s) = -4*k(s) + y(s). Factor u(r).
-r**4*(r - 1)
Let t(d) be the first derivative of -1/63*d**7 + 0*d**4 - 1/45*d**6 - 1 + 0*d**2 + 0*d**3 - d + 0*d**5. Let w(y) be the first derivative of t(y). Factor w(a).
-2*a**4*(a + 1)/3
Factor 16*z**2 - 25*z + 90 + 24*z**2 - 80*z - 5*z**3.
-5*(z - 3)**2*(z - 2)
Suppose -g + 6 = b + 1, -5*g + 5*b = 25. Let h(c) be the third derivative of 0*c**5 + 1/3*c**3 - 1/8*c**4 - 4*c**2 + g*c + 1/120*c**6 + 0. Factor h(l).
(l - 1)**2*(l + 2)
Let n(p) be the second derivative of -3*p**6/200 + p**5/25 + p**4/40 - p**3/5 + 3*p**2/2 - p. Let v(l) be the first derivative of n(l). Factor v(b).
-3*(b - 1)**2*(3*b + 2)/5
Let g(i) be the first derivative of -8*i**3/33 - 3*i**2/11 - 15. Solve g(d) = 0.
-3/4, 0
Solve -1/10*t**3 - 2/5*t**2 + 0 - 3/10*t = 0.
-3, -1, 0
Let s(x) be the third derivative of -x**9/7560 + x**8/1120 - x**7/420 + x**6/360 + x**4/12 - 4*x**2. Let w(z) be the second derivative of s(z). Factor w(n).
-2*n*(n - 1)**3
Let -4/3*l**2 + 0*l + 4/3 = 0. Calculate l.
-1, 1
Let l(u) = -u + 14. Let c be l(10). Let n(v) be the second derivative of 0 + 3*v + 1/60*v**c + 0*v**3 - 1/10*v**2. Find z such that n(z) = 0.
-1, 1
Let v(h) = h**3 - h**2 + 1. Let d be v(-1). Let f be (-6)/9*(-2 + d). Factor -1/3*m**4 + 0 + 0*m - 1/3*m**f + 2/3*m**3.
-m**2*(m - 1)**2/3
Let 0*t - 6/5*t**3 + 9/5*t**2 + 0 + 1/5*t**4 = 0. Calculate t.
0, 3
Let -20*j - j**4 - 29*j - 3*j**3 - j**2 + 2 + 52*j = 0. What is j?
-2, -1, 1
Let 12*j**3 + 18*j**2 - 17*j**4 + 9*j + 20*j**4 + 0 + 3 + 3*j = 0. What is j?
-1
Let a(h) be the second derivative of -h**6/150 - h**5/50 + h**3/15 + h**2/10 + 58*h. Factor a(s).
-(s - 1)*(s + 1)**3/5
Let l(t) be the second derivative of -3*t + 1/40*t**5 + 0*t**4 - 1/12*t**3 + 1/8*t**2 - 1/120*t**6 + 0. Let l(i) = 0. What is i?
-1, 1
Let j be (-3)/(-6) - 5/10. Factor j*q + 0 - 2/9*q**2 - 2/9*q**3.
-2*q**2*(q + 1)/9
Let f(y) be the second derivative of -6*y**7/7 + 14*y**6/15 + 11*y**5/5 - 7*y**4/3 - 4*y**3/3 - 20*y. Solve f(v) = 0 for v.
-1, -2/9, 0, 1
Let s(m) = m**2 + 7*m + 8. Let z be s(-6). Factor 4 + 0*u + 2*u - 3 - 2*u**z + 3*u**2.
(u + 1)**2
Suppose 8 - 10 = 2*j. Let c = j - -3. Factor 0 + 1/2*f**c + 1/4*f**3 + 1/4*f.
f*(f + 1)**2/4
Let s(f) be the second derivative of f**4/24 - f**3/12 - 41*f. Let s(l) = 0. Calculate l.
0, 1
Factor 10 + 4*c**4 - 20*c**3 + 20*c - 77*c**2 + 89*c**2 - 26.
4*(c - 4)*(c - 1)**2*(c + 1)
Suppose 7*y - 4*y - 12 = 0. Factor v**5 - 4*v**4 + y*v**3 - 8*v**4 + 14*v**3 - 12*v**2 + 3*v + 2*v**5.
3*v*(v - 1)**4
Let y(j) be the second derivative of j**7/3360 - j**6/288 + j**5/60 - j**4/24 - j**3/6 - j. Let f(r) be the second derivative of y(r). Factor f(l).
(l - 2)**2*(l - 1)/4
Let s = 572 - 570. Solve 4*m**3 - 2*m**4 + 2*m - 2/5 + 2/5*m**5 - 4*m**s = 0.
1
Let n = 1984894/779 + -2548. Let z = 4684/3895 - n. Let -2/5 + 2/5*t**3 - z*t**2 + 6/5*t = 0. What is t?
1
Let d(y) = -y**2 - 2*y. Let a(w) = 2*w - 3 + 1 + 2. Let x(f) = -a(f) - 2*d(f). Factor x(k).
2*k*(k + 1)
Let z(m) be the first derivative of 0*m + 0*m**3 + 0*m**4 - 2/5*m**5 - 6 + 0*m**2 + 1/3*m**6. Factor z(o).
2*o**4*(o - 1)
Let c be (-36)/(-8) - (-2)/(-4). Factor -4*s**c - 4*s**3 - 4*s**3 - s**5 + 2*s**3 - 4*s**2 - s.
-s*(s + 1)**4
Let n(f) = 5 + 7 + f**2 - 20*f + 15 + 0*f**2. Let o(v) = 21*v - 27. Let l(d) = 3*n(d) + 2*o(d). Find x, given that l(x) = 0.
3
Let a(g) = -g**2 - 11*g + 26. Let m be a(-13). Let i(p) be the third derivative of 1/300*p**5 + 0*p + m*p**4 + 0 + 2*p**2 - 1/30*p**3. Factor i(b).
(b - 1)*(b + 1)/5
Let y(q) be the first derivative of -4*q - 2 - q**2 + 1/2*q**4 + 4/3*q**3. Factor y(w).
2*(w - 1)*(w + 1)*(w + 2)
Let c = -36 + 16. Let r = c - -22. Solve 2/3*u**3 - 2/3*u + 2/3*u**r - 2/3 = 0 for u.
-1, 1
Let i(g) = g**2 - 5*g - 2. Let h be i(6). Let n = 9 + -6. Suppose -2*x - 3*x**n - x - 5*x**2 - 4*x**2 - 3*x**h - 6*x**3 = 0. Calculate x.
-1, 0
Let q(h) = 19*h - 226. Let p be q(12). Factor 2/5*v**p + 0 - 1/5*v**3 - 1/5*v.
-v*(v - 1)**2/5
Let y(a) = -a**2 - 5*a + 1. Let s be y(-5). Let p be ((-2)/(-6))/(s/6). Factor 4*g + g**4 - 2*g**3 - 4*g + g**p.
g**2*(g - 1)**2
Let c be 10/4 + (-2)/4. Suppose -4*g - 3*v = -24, 1 = -c*g - 3*g + 4*v. Factor 0*r - 1/4*r**5 + 0 + 1/4*r**2 - 3/4*r**g + 3/4*r**4.
-r**2*(r - 1)**3/4
Let p(u) = u + 2. Let c be p(0). What is o in -o**4 - o**2 - 3*o**2 + 5*o**2 + 0*o**c = 0?
-1, 0, 1
Let a = 47 + -47. Factor a + x - 1/2*x**2 - 1/2*x**3.
-x*(x - 1)*(x + 2)/2
Determine z so that -1/3*z**5 + 2/3*z**4 + 0*z**2 - 1/3*z**3 + 0 + 0*z = 0.
0, 1
Find o such that -55*o**3 + 12*o**2 + 12*o - 28*o**3 + 38*o**3 = 0.
-2/5, 0, 2/3
Let f(g) be the first derivative of 2*g**3/39 + g**2/13 + 4. Factor f(q).
2*q*(q + 1)/13
Let z(m) = 4*m**2 + 24*m - 14. Let b(p) = p**2 + 5*p - 3. Let h(w) = -14*b(w) + 3*z(w). Find y such that h(y) = 0.
0, 1
Let t(h) be the second derivative of -h**4/18 - 2*h**3/9 - h**2/3 - 5*h. Let t(b) = 0. Calculate b.
-1
Let g(y) = 7*y**5 + 9*y**4 - 7*y**3 - 7*y**2. Let s(t) = 21*t**5 + 27*t**4 - 22*t**3 - 20*t**2 + t. Let x(v) = -7*g(v) + 2*s(v). What is b in x(b) = 0?
-1, -2/7, 0, 1
Factor -5/2*p*