- 3*y**2/7 - 2*y - 2. Factor v(f).
-2*(f + 1)*(f + 3)/7
Let n(l) be the second derivative of -l**4/24 + l**3/6 + 3*l**2/4 - 10*l. Solve n(t) = 0.
-1, 3
Let r(w) be the third derivative of -w**10/453600 + w**9/181440 + w**5/30 + w**2. Let u(c) be the third derivative of r(c). Factor u(f).
-f**3*(f - 1)/3
Let g(m) be the first derivative of 4*m**6/3 - 44*m**5/25 - 6*m**4/5 + 4*m**3/3 + 4*m**2/5 + 1. Find j such that g(j) = 0.
-1/2, -2/5, 0, 1
Find r such that -5 + 10*r**2 + 10*r + 4*r**2 + 1 + 0 = 0.
-1, 2/7
What is q in 2*q - 14*q**3 - 20*q**3 + 32*q**3 = 0?
-1, 0, 1
Find h, given that -3*h**3 + 138*h**4 - 68*h**4 - 67*h**4 - 3*h**2 + 3*h**5 = 0.
-1, 0, 1
Suppose 0*n - 2*n = -26. Solve 7*z**4 - 26*z**4 - 3*z**5 - 3*z**3 + n*z**4 = 0.
-1, 0
Let t be ((-3)/2)/((-2)/4). Factor -5*v**3 + 4*v**3 + v**2 + 0*v**2 + v**4 + 3*v**t.
v**2*(v + 1)**2
Let o(u) be the first derivative of -1/6*u**3 + 0*u**2 + 1/2*u - 2. Factor o(t).
-(t - 1)*(t + 1)/2
Let l(w) = 8*w**3 - 6*w**2 + 6*w - 2. Let b(g) = -g**2 + 7*g - 6. Let r be b(7). Let t(c) = c**3. Let a(p) = r*t(p) + l(p). Factor a(x).
2*(x - 1)**3
Let p(g) be the second derivative of -1/70*g**5 - 2*g + 0 - 1/42*g**4 + 0*g**2 + 0*g**3 + 1/105*g**6 + 1/147*g**7. Factor p(n).
2*n**2*(n - 1)*(n + 1)**2/7
Let z(s) be the third derivative of s**7/2100 - s**3/6 - 6*s**2. Let h(w) be the first derivative of z(w). Factor h(o).
2*o**3/5
Let i be -1*(1 + -1 + 0). Let o = 10 - 8. Find z, given that -1/3*z**4 + i + 1/3*z**o + 0*z - 1/3*z**5 + 1/3*z**3 = 0.
-1, 0, 1
Suppose -1 = h - 3. Let w be (2/(-2))/(h/(-8)). Factor -8 - 4*o - o**2 - o**2 - w*o.
-2*(o + 2)**2
Let v(g) be the first derivative of g**7/21 + g**6/21 - g**5/35 - 7*g - 8. Let c(f) be the first derivative of v(f). Factor c(b).
2*b**3*(b + 1)*(7*b - 2)/7
Let g(i) be the third derivative of -i**5/6 - 7*i**4/12 - 2*i**3/3 + 10*i**2 + 2*i. Factor g(s).
-2*(s + 1)*(5*s + 2)
Let s be (-4)/14 - 46/(-14). Factor -9*g**5 + g**3 - g**3 - 2*g**s - 3*g**2 + 15*g**4 - g**3.
-3*g**2*(g - 1)**2*(3*g + 1)
Let q = 11/5 + -23/15. Solve 2/3*x**4 - 2/3*x**2 + q*x**3 - 2/3*x + 0 = 0.
-1, 0, 1
Let s(n) be the second derivative of -n**5/15 - n**4/3 - 2*n**3/3 - 2*n**2/3 + 8*n. Factor s(p).
-4*(p + 1)**3/3
Find h such that -1/4*h**5 + 0*h**2 + 0*h**4 + 0 + 0*h + 1/4*h**3 = 0.
-1, 0, 1
Determine t so that -1/3*t**3 + 4/3*t + 1/6*t**4 - 1/2*t**2 - 2/3 = 0.
-2, 1, 2
Suppose -5*u + 2*u = u. Let y(x) be the first derivative of -1 - 3/20*x**5 + 0*x**3 + u*x + 3/16*x**4 + 0*x**2. Factor y(z).
-3*z**3*(z - 1)/4
Let -21*k**3 + 2*k**4 - 6*k**4 - 2*k**4 + 12*k - 12*k**2 = 0. What is k?
-2, 0, 1/2
Suppose -6*d + 5*f = -d - 55, 4*f = -2*d + 34. Let r be d/(-91) - 95/(-77). Solve -2/11*n**3 - 24/11*n - r*n**2 - 16/11 = 0.
-2
Let w(b) be the second derivative of 1/20*b**6 - 3/8*b**5 + 0 + 2*b + 1/2*b**3 + 3/28*b**7 - 1/8*b**4 + 0*b**2. Suppose w(g) = 0. What is g?
-1, 0, 2/3, 1
Let t(g) = -g**3 - 5*g**2 - 5*g + 1. Let i be t(-4). Let 10*m - 5*m**4 + 6*m + 8 - 14*m**3 - 5*m**4 - 2*m**i + 2*m**2 = 0. Calculate m.
-2, -1, 1
Let f(l) be the third derivative of -l**7/630 + l**6/60 - l**5/15 + 5*l**4/36 - l**3/6 + 27*l**2. Let f(u) = 0. What is u?
1, 3
Let l(o) be the second derivative of o**4/15 - 12*o**3/5 + 162*o**2/5 + 23*o. Factor l(h).
4*(h - 9)**2/5
Let g = -757 - -2291/3. Determine s so that g*s**2 + 2/3*s**5 + 20/3*s**3 + 10/3*s**4 + 10/3*s + 2/3 = 0.
-1
Let w be -6*(-4 + 44/12). Factor -48*v + 3*v**2 - v**3 - 6*v**2 + 15*v**w + 64.
-(v - 4)**3
Factor 2/19*b**3 + 2/19 - 2/19*b**2 - 2/19*b.
2*(b - 1)**2*(b + 1)/19
Let z(l) be the third derivative of -1/6*l**3 + 0 + 0*l + 1/120*l**5 - 2*l**2 + 1/48*l**4. Factor z(g).
(g - 1)*(g + 2)/2
Let y(q) be the first derivative of q**6/80 + 11*q**5/240 + q**4/16 + q**3/24 - 2*q**2 - 1. Let t(n) be the second derivative of y(n). Factor t(g).
(g + 1)*(2*g + 1)*(3*g + 1)/4
Let w(p) be the second derivative of 5*p**7/42 + p**6/2 + p**5/2 - 11*p. Factor w(d).
5*d**3*(d + 1)*(d + 2)
Let a(s) = -2*s**2 + s. Let b(v) = 5*v**3 + 47*v**2 + 74*v + 35. Let f(l) = a(l) + b(l). Determine h, given that f(h) = 0.
-7, -1
Let j(h) be the second derivative of 5/6*h**3 - 6*h - 1/20*h**5 - 1/12*h**4 - 3/2*h**2 + 0. Find x, given that j(x) = 0.
-3, 1
Let t(c) be the first derivative of -c**7/2100 + c**6/450 - c**5/300 + c**3/3 - 1. Let u(p) be the third derivative of t(p). Solve u(s) = 0 for s.
0, 1
Let z(w) be the first derivative of 2*w**5/15 - 2*w**4/3 + 2*w**3/3 + 4. Factor z(y).
2*y**2*(y - 3)*(y - 1)/3
Let b = 18 - 14. Factor b*t + 4*t - 9*t - 15*t + 4*t**2 + 12.
4*(t - 3)*(t - 1)
Let f(h) be the first derivative of -h**7/105 - h**6/20 - h**5/10 - h**4/12 + 7*h**2/2 + 3. Let k(n) be the second derivative of f(n). Factor k(j).
-2*j*(j + 1)**3
Let s(c) be the first derivative of 3*c**4/4 - c**3 - 3*c**2 - 16. Factor s(t).
3*t*(t - 2)*(t + 1)
Factor 0*b + 0 - 3/2*b**2.
-3*b**2/2
Factor 6*d**4 - 8*d**4 + 4*d**4 + 5*d**5.
d**4*(5*d + 2)
Suppose -b - 2*m - 6 = -16, -3*m - 41 = -2*b. Let g be (-2)/(-6)*24/b. Factor -10*o - 4 - g*o**4 - 7/2*o**3 - 9*o**2.
-(o + 1)*(o + 2)**3/2
Let w(c) be the third derivative of c**10/21600 - c**9/6720 + c**8/10080 - c**5/20 - c**2. Let r(z) be the third derivative of w(z). Solve r(o) = 0.
0, 2/7, 1
Let r(n) = -7*n**2 - n - 2. Let v(f) = 6*f**2 + 2. Let w(y) = 4*r(y) + 5*v(y). Factor w(z).
2*(z - 1)**2
Factor 4*k**4 - 4*k**3 - 12*k**2 - 5 - 8 + 21 + 4*k.
4*(k - 2)*(k - 1)*(k + 1)**2
Let v = 610 + -2431/4. Solve 3/4*n**2 + 3/2 + v*n = 0 for n.
-2, -1
Let z(w) = 4*w. Let i be z(1). Suppose -19 = -5*r - i. Factor 1/4*x + 0*x**2 - 1/4*x**r + 0.
-x*(x - 1)*(x + 1)/4
Let a be (-6)/(-32)*(-404)/(-303). Let 3/4*m - a*m**2 - 1/2 = 0. Calculate m.
1, 2
Let g(a) = -2*a**3 - a - 1. Let c be g(-1). Suppose -c = 2*x - 3*x. Let 3*t - 3*t - t**x + 1 = 0. What is t?
-1, 1
Let d(x) = x**3 - 5*x**2 - 7*x + 7. Suppose -j + 3*j + 2*m = -8, -5*j + 3*m = 20. Let f(t) = t**3 - 2*t**2 - 4*t + 4. Let n(q) = j*d(q) + 7*f(q). Factor n(r).
3*r**2*(r + 2)
Suppose p = 3*f - 6, -4*p = -0*p - 4*f. Factor -1/4*l**2 - 1/4*l**p + 1/4 + 1/4*l.
-(l - 1)*(l + 1)**2/4
Let m(v) be the second derivative of -v**8/3360 - v**7/840 - v**6/720 + v**3/6 - 3*v. Let x(p) be the second derivative of m(p). Solve x(r) = 0.
-1, 0
Let x(o) be the third derivative of -5*o**8/224 + 2*o**7/21 - o**6/12 - o**5/4 + 35*o**4/48 - 5*o**3/6 + 13*o**2. Solve x(j) = 0.
-1, 2/3, 1
Suppose -x = 43 + 17. Let n be 2/(-6) - 56/x. Solve 6/5*i**2 + 0 + n*i**3 + 3/5*i = 0 for i.
-1, 0
What is c in -9 - c**2 + 13*c + 11*c - 18*c = 0?
3
Let k = 6 + -3. Suppose -d + 2 = -4*u, k*u - 2*d - 4 = -4*d. Factor u*a - 2/3 + 2/3*a**2.
2*(a - 1)*(a + 1)/3
Let -g**5 + 1/2*g**4 + 2*g**3 - g - g**2 + 1/2 = 0. Calculate g.
-1, 1/2, 1
Let o(z) be the first derivative of z**4/2 - z**2 + 3. Factor o(k).
2*k*(k - 1)*(k + 1)
Let x(d) = -d. Let a be x(-5). Suppose 5*f - 15 = a*m, -2*f + 0*m + 6 = -5*m. Factor -10/9*c + 2/9 - 2/3*c**f + 14/9*c**2.
-2*(c - 1)**2*(3*c - 1)/9
Suppose 9*m = 4*m + 15. Factor -m*g**3 - 3*g**2 + 7*g**4 + g**4 - 2*g**4 - 3*g**4 + 3*g.
3*g*(g - 1)**2*(g + 1)
Suppose -4*v - 211 = 5. Let b be 32/63 - (-12)/v. Factor -2/7*h + 2/7*h**2 - b*h**4 + 0 + 2/7*h**3.
-2*h*(h - 1)**2*(h + 1)/7
Let s(h) be the second derivative of -h + 1/24*h**4 - 1/18*h**3 + 1/360*h**6 - 1/60*h**5 + 0 - 1/2*h**2. Let a(c) be the first derivative of s(c). Factor a(b).
(b - 1)**3/3
Suppose 5*d - 17 - 3 = 0. Suppose 0*h + 1 + d*h - 3 - 2*h**2 = 0. Calculate h.
1
Suppose 0 = -g - 4*d + 4, g + 6*d = 5*d + 1. Let s be 1/(((-3)/(-2))/3). Factor -2/3*w + g + 2/3*w**s.
2*w*(w - 1)/3
Let o(y) = y. Let b be o(6). Suppose g + m + 1 = 0, -b + 23 = g - 5*m. Factor 6*t**3 + 4*t**2 + 2*t**3 - 8 + 2*t**g + 2*t**4 - 8*t.
2*(t - 1)*(t + 1)*(t + 2)**2
Let g(c) = -1. Let v(k) = 5*k**2 + 100*k + 502. Let q(p) = 2*g(p) + v(p). Solve q(j) = 0.
-10
Let c(b) be the first derivative of -b**4/2 - b**3/6 + 5. Factor c(p).
-p**2*(4*p + 1)/2
Let d be (-3)/9*12/(-2). Suppose d*k + 4*o = 2 + 2, -5*o + 5 = 4*k. Factor 4 + k*t**2 + t**2 - t + 5*t.
(t + 2)**2
Let j(x) be the second derivative of -x**7/210 + x**5/30 - x**3 + 4*x. Let z(s) be the second derivative of j(s). Determine c so that z(c) = 0.
-1, 0, 1
Determine r, given that 4/9 - 2/9*r - 2/9*r**2 = 0.
-2, 1
Let f(n) b