 0, 1
Let n(m) be the first derivative of 7*m**5/20 + 5*m**4/2 + 6*m**3 + 4*m**2 + 6*m - 5. Let f(q) be the first derivative of n(q). Suppose f(p) = 0. Calculate p.
-2, -2/7
Let u(q) = q**3 + q**2 - q - 1. Let o(y) = y**4 + 4*y**3 - 4*y - 1. Let p(m) = -o(m) + 3*u(m). Factor p(j).
-(j - 1)**2*(j + 1)*(j + 2)
Suppose c + 0 + 49/4*c**3 - 7*c**2 = 0. What is c?
0, 2/7
Suppose 0*t - 14/11*t**4 + 4/11*t**3 + 0 + 0*t**2 - 18/11*t**5 = 0. What is t?
-1, 0, 2/9
Find f such that 30*f + 5/2*f**2 + 90 = 0.
-6
Let h = 760 - 758. Factor -1/4*c**h + 1/2*c + 0.
-c*(c - 2)/4
Suppose 4 = 4*n - 4. What is g in 54*g**2 - 8*g - n*g**2 + 29*g**5 - 90*g**3 - 25*g**4 + 96*g**5 = 0?
-1, 0, 2/5
Let j(u) be the second derivative of u**4/8 - 3*u**3/4 + 3*u. Factor j(y).
3*y*(y - 3)/2
Let t(h) be the first derivative of -5*h**6/12 + 15*h**4/8 - 5*h**3/3 - 42. Suppose t(w) = 0. What is w?
-2, 0, 1
Let o(g) be the first derivative of 32*g**3 - 8 + 45*g**4 + 41*g + 8*g**2 - 41*g + 20*g**5. Factor o(a).
4*a*(a + 1)*(5*a + 2)**2
Let h(k) be the second derivative of 2*k**7/21 - 2*k**5/5 + 2*k**3/3 + 24*k. Factor h(n).
4*n*(n - 1)**2*(n + 1)**2
Suppose 0 = -5*r + 6 + 4. Let k be 32/63 + r/(-7). Factor 2/9*x**2 - 2/9*x**5 + 2/9*x**3 + 0 - k*x**4 + 0*x.
-2*x**2*(x - 1)*(x + 1)**2/9
Let f = 2 + 1. Let g be (546/(-9))/(-7) - 66/11. Suppose -10/3*d**2 - g + 2/3*d**f + 16/3*d = 0. Calculate d.
1, 2
Let p(w) be the first derivative of -w**7/420 - w**6/180 + 2*w**3/3 - 4. Let x(v) be the third derivative of p(v). Find t such that x(t) = 0.
-1, 0
Let u(m) be the first derivative of 0*m**2 + 1/3*m**3 + 3/4*m**4 + 1/6*m**6 + 4 + 0*m + 3/5*m**5. What is q in u(q) = 0?
-1, 0
Let x(z) be the first derivative of -2*z - 1/90*z**6 + 0*z**2 - 1/20*z**5 - 3 - 1/12*z**4 - 1/18*z**3. Let k(b) be the first derivative of x(b). Factor k(t).
-t*(t + 1)**3/3
Let w = -41/2 - -21. Let g = -30 - -34. What is t in 1/4*t**g + 0*t + 3/4*t**3 + w*t**2 + 0 = 0?
-2, -1, 0
Let j be ((-1)/(-4))/(10/48). Let k(l) be the first derivative of 0*l - 2*l**2 + j*l**5 - 2/3*l**3 - 1 + 2*l**4. Factor k(u).
2*u*(u + 1)**2*(3*u - 2)
Let z(t) be the third derivative of t**6/180 - t**5/30 + 4*t**3/9 + 18*t**2. Solve z(p) = 0.
-1, 2
Let h = -7 - -7. Let w be (-7)/(-5) - (-2 + 3). Factor 4/5*c**4 + 0 + 0*c + h*c**2 - 2/5*c**3 - w*c**5.
-2*c**3*(c - 1)**2/5
Let d = 25 - 124/5. Factor 4/5 - 4/5*i + d*i**2.
(i - 2)**2/5
Let a = 149 - 147. Let b(w) be the second derivative of 0 + 0*w**a - 1/66*w**4 + 1/33*w**3 + w. Factor b(h).
-2*h*(h - 1)/11
Let k be ((-15)/(-210))/(4*2/32). Factor -k*w + 0*w**2 + 2/7*w**3 + 1/7 - 1/7*w**4.
-(w - 1)**3*(w + 1)/7
Let w(z) be the first derivative of -z**6/60 + z**5/20 - z**4/24 + z + 1. Let t(o) be the first derivative of w(o). Determine f, given that t(f) = 0.
0, 1
Let f(x) be the first derivative of -4 - 2*x**2 + 0*x**4 + 0*x - 2*x**3 + 2/5*x**5. Let f(y) = 0. What is y?
-1, 0, 2
Let m(h) be the second derivative of 0 - 1/10*h**3 - h + 3/5*h**2 - 1/20*h**4. Determine t, given that m(t) = 0.
-2, 1
Suppose 2*k + 0*k - 6 = -2*x, 4*x = -2*k + 12. Factor 12*g**x + 20*g**2 + 2*g + 28 - 28 + 6*g.
4*g*(g + 1)*(3*g + 2)
Factor -12*r - 9*r**2 + 152 - 3*r**3 + 3*r**4 + 9*r**3 - 140.
3*(r - 1)**2*(r + 2)**2
Let u(x) be the third derivative of 0 + 2*x**2 + 0*x**6 - 1/105*x**5 + 1/21*x**3 + 0*x**4 + 1/735*x**7 + 0*x. Factor u(f).
2*(f - 1)**2*(f + 1)**2/7
Let x(y) be the third derivative of -y**7/6300 - y**6/450 - y**5/100 + y**4/12 + 6*y**2. Let l(a) be the second derivative of x(a). Factor l(m).
-2*(m + 1)*(m + 3)/5
Factor -v**2 + 2 - v**2 + 9*v - v**2 - 8.
-3*(v - 2)*(v - 1)
Let b = -5 + 7. Factor -37*z**2 + 37*z**2 - 4*z**5 + 6*z**3 - b*z**3.
-4*z**3*(z - 1)*(z + 1)
Let c(w) = -w + 3*w + w**2 - 3 - 4*w. Let s be c(3). Factor 2/3*l + s + 1/3*l**2.
l*(l + 2)/3
Let z(d) = d**2 + 18*d + 3. Suppose -22 = 3*s + 32. Let v be z(s). Find l, given that -1/4*l**5 + 3/4*l + 1/4 - 1/2*l**v - 3/4*l**4 + 1/2*l**2 = 0.
-1, 1
Let l(r) be the third derivative of -r**6/270 + 4*r**5/135 - 2*r**4/27 + 8*r**2. Determine i so that l(i) = 0.
0, 2
Suppose 0 = -4*p - s + 7, 2*p + 3*s - 4 - 7 = 0. Let q = 1 + p. Factor -2/5*i**q + 2/5 + 0*i.
-2*(i - 1)*(i + 1)/5
What is k in -246*k**3 + 540*k**2 + 1326*k**3 + 122*k - 32*k + 5 = 0?
-1/6
Suppose -2*y + 3*s + 15 = 2, -2*s - 14 = -4*y. Let w be 2/8 + (-38)/(-8). Factor 1/3*j**w + j**3 + 0 + 0*j + j**4 + 1/3*j**y.
j**2*(j + 1)**3/3
Let d be ((-120)/(-14))/((-2)/49). Let f = d + 638/3. Let 2*b**5 - 16/3 + 40/3*b - 4*b**2 + f*b**4 - 26/3*b**3 = 0. What is b?
-2, 2/3, 1
Let z(k) be the second derivative of k**5/15 - 7*k**4/9 - 2*k**3/9 + 14*k**2/3 + 6*k. Let z(s) = 0. Calculate s.
-1, 1, 7
Factor -o**2 - 4*o + 1 - 9 + 13*o**2.
4*(o - 1)*(3*o + 2)
Let f = 1/160 + 63/160. Let l(d) be the second derivative of -2*d + 3/5*d**3 + 11/50*d**5 - f*d**2 - 1/25*d**6 + 0 - 1/2*d**4. Factor l(u).
-2*(u - 1)**3*(3*u - 2)/5
Let o(x) be the third derivative of 3*x**2 + 0*x**4 + 1/90*x**5 + 0 + 0*x**3 + 0*x. Factor o(v).
2*v**2/3
Let g(u) be the second derivative of -u - 1/3*u**3 - 1/3*u**4 + 0 + 1/10*u**5 + 1/2*u**2 + 1/10*u**6. Determine t so that g(t) = 0.
-1, 1/3, 1
Let y(l) be the third derivative of 4*l**7/105 - l**6/18 - l**5/30 + l**4/8 - l**3/9 - 6*l**2. Suppose y(g) = 0. Calculate g.
-2/3, 1/2
Let f(b) be the first derivative of 1/10*b**5 + 1/4*b**2 - 1/12*b**4 + 1 - 1/36*b**6 - 1/9*b**3 - 1/6*b. Factor f(l).
-(l - 1)**4*(l + 1)/6
Let r(h) be the first derivative of -h**6/30 - h**5/10 + h**3/3 + h**2/2 - h - 2. Let z(p) be the first derivative of r(p). Factor z(o).
-(o - 1)*(o + 1)**3
Let n(k) be the third derivative of k**9/1008 - k**7/280 - k**3/2 + k**2. Let x(m) be the first derivative of n(m). Find y such that x(y) = 0.
-1, 0, 1
Let g be ((-16)/28)/((-2)/7). Determine n, given that -9*n - 4*n**g + n**2 - 12 - 3*n = 0.
-2
Solve 36*i**5 + 8 - 6*i**3 - 17*i**3 - 20*i + 64*i**4 + 7*i**3 - 72*i**2 = 0.
-1, 2/9, 1
Let z = -1 + 0. Let y = 3 + z. What is p in -2 + 2*p**2 - y*p + 2 = 0?
0, 1
Suppose 0 = 11*q - q - 20. Factor 0*m + 2/3*m**q + 0.
2*m**2/3
Let b(k) = k**2 + 4*k + 3. Let d(o) = 2*o**2 + 5*o + 3. Let m(z) = -6*b(z) + 4*d(z). Find t, given that m(t) = 0.
-1, 3
Let z(y) be the first derivative of y**5/360 + y**4/144 + y**2/2 - 1. Let k(r) be the second derivative of z(r). Factor k(p).
p*(p + 1)/6
Let b(k) be the second derivative of -k**6/60 + k**5/5 - k**4 + 8*k**3/3 - 4*k**2 - 8*k. Factor b(z).
-(z - 2)**4/2
Let t(o) = 6*o - o**2 - 4*o - o. Let j(q) = -q**4 + q**3 + 4*q**2 - 4*q. Let w(y) = -j(y) - 3*t(y). Factor w(d).
d*(d - 1)**2*(d + 1)
Let a(n) = -8*n**3 - 33*n**2 - 13*n + 6. Let l(b) = -24*b**3 - 100*b**2 - 38*b + 18. Let o(z) = -10*a(z) + 3*l(z). Suppose o(r) = 0. Calculate r.
-3, -1, 1/4
Let k(n) = -n**2 - 1. Let t(v) = -v**2 - 3. Let z(b) = -6*k(b) + 3*t(b). Let z(l) = 0. Calculate l.
-1, 1
Let r(v) be the first derivative of 0*v**2 - 6 - 1/2*v**6 + v**5 + 0*v**3 - 1/2*v**4 + 0*v. Let r(j) = 0. Calculate j.
0, 2/3, 1
Suppose -2 = -z - 0*z. Suppose -5 = v, -z*g + 14 = g - v. Factor 0*o - 2/5*o**5 + 0*o**2 - 2/5*o**g + 0 - 4/5*o**4.
-2*o**3*(o + 1)**2/5
Let a = -2 + 4. Suppose -8 = a*y - 6*y. Factor 1/3*x - 1/3*x**y + 0.
-x*(x - 1)/3
Let r(i) be the second derivative of 7*i**4/8 + 9*i**3/4 + 3*i**2/2 - 12*i. Find n, given that r(n) = 0.
-1, -2/7
Let k(w) be the second derivative of w**8/30240 - w**7/2835 + w**6/648 - w**5/270 - w**4/12 - 2*w. Let m(u) be the third derivative of k(u). Factor m(v).
2*(v - 2)*(v - 1)**2/9
Suppose 0 + 48/5*r**4 + 432/5*r**2 + 324/5*r + 4/5*r**5 + 216/5*r**3 = 0. What is r?
-3, 0
Let j(k) be the third derivative of k**7/11340 - k**6/810 + k**5/135 + k**4/8 - 2*k**2. Let y(d) be the second derivative of j(d). Factor y(t).
2*(t - 2)**2/9
What is y in -6 + 9/2*y**2 - 6*y**3 + 6*y + 3/2*y**4 = 0?
-1, 1, 2
What is j in -1/2*j**2 + 1/4*j**5 + 1/2*j**3 + 3/4*j**4 - 1/4 - 3/4*j = 0?
-1, 1
Let c(w) be the second derivative of w**6/210 + 3*w**5/140 + w**4/28 + w**3/42 + 5*w. Factor c(p).
p*(p + 1)**3/7
Let h = 43/72 - 3/8. Factor -4/9*q**3 + 2/9*q - 4/9*q**2 + h + 2/9*q**5 + 2/9*q**4.
2*(q - 1)**2*(q + 1)**3/9
Let v(h) be the second derivative of 0 - 3*h + 0*h**2 + 1/12*h**3 + 1/24*h**4. Factor v(g).
g*(g + 1)/2
Let k(g) be the second derivative of 0*g**3 + 0 -