 i(h).
4*(h - 1)*(h + 1)*(h + 4)
Let p(w) = 5*w + 123. Let v be p(-24). Factor 0*s + 0 - 9/4*s**4 - 3/4*s**2 + 3*s**v.
-3*s**2*(s - 1)*(3*s - 1)/4
Let h(d) = 12*d**4 + 16*d**3 + 8*d + 8. Let l(k) = -8*k**4 - 11*k**3 - 5*k - 5. Let a(g) = 5*h(g) + 8*l(g). Factor a(n).
-4*n**3*(n + 2)
Suppose 4*t - 9 = -x, 2*x + 24 = 3*t - 3*x. Factor -1/2 - 1/2*l**t - 3/2*l**2 - 3/2*l.
-(l + 1)**3/2
Let z = -29 + 31. Factor 4/5 - 2*r - 14/5*r**z.
-2*(r + 1)*(7*r - 2)/5
Let t(w) be the second derivative of w**6/45 - w**5/5 - 11*w**4/18 + 20*w**3/3 + 100*w**2/3 + 21*w. Find d, given that t(d) = 0.
-2, 5
Let o(d) be the third derivative of -d**9/151200 - d**5/30 + 4*d**2. Let s(a) be the third derivative of o(a). Determine l so that s(l) = 0.
0
Let f(y) be the third derivative of 0*y**4 + 0*y**3 - 1/120*y**6 + 0*y - 4*y**2 + 1/840*y**7 + 0 + 1/60*y**5. Factor f(v).
v**2*(v - 2)**2/4
Suppose 3*o - 3 = 2*o. Let -1/2*w - 1/6 - 1/2*w**2 - 1/6*w**o = 0. Calculate w.
-1
Let a be (26/8 - 11/44)/9. What is b in 2/3*b + 1/3*b**2 + a = 0?
-1
Let a(r) = -4*r**2 - 4*r + 5. Let d(p) = 44*p**2 + 44*p - 56. Let u(s) = -32*a(s) - 3*d(s). Factor u(b).
-4*(b - 1)*(b + 2)
Let p(w) be the first derivative of -w**8/560 - 3*w**7/280 - w**6/40 - w**5/40 + w**3 - 7. Let q(h) be the third derivative of p(h). Factor q(t).
-3*t*(t + 1)**3
Let w(u) = -u**3 - 12*u**2 + 15*u + 9. Let p be w(-13). Let f = 17 + p. Let -1/4*n**3 + f*n**2 + 1/4*n + 0 = 0. Calculate n.
-1, 0, 1
Let x(q) be the second derivative of 147*q**5/100 - 63*q**4/10 + 6*q**3 - 12*q**2/5 - 10*q + 1. Find i, given that x(i) = 0.
2/7, 2
Factor 2*w**2 + 8/9*w**4 + 2/9*w - 2/9 + 22/9*w**3.
2*(w + 1)**3*(4*w - 1)/9
Let w(a) = -5*a**2 + 2*a + 6. Let r = 7 - 13. Let j(x) be the first derivative of x**3/3 - x - 2. Let p(b) = r*j(b) - w(b). Factor p(u).
-u*(u + 2)
Let n(y) be the third derivative of -y**7/210 + y**6/120 + y**5/60 - y**4/24 + 14*y**2. Factor n(v).
-v*(v - 1)**2*(v + 1)
Let d = 285/8 - 5037/136. Let h = d - -154/85. Solve -2/5*s + h*s**3 + 0 - 2/5*s**2 + 2/5*s**4 = 0 for s.
-1, 0, 1
Let t(k) be the second derivative of 1/24*k**4 - 6*k + 1/6*k**3 + 1/4*k**2 + 0. Find j, given that t(j) = 0.
-1
Let j = 6917/15 + -461. Find l, given that -4/15*l**3 + 0*l**2 - j*l**4 + 0 + 0*l + 2/15*l**5 = 0.
-1, 0, 2
Let 3*f**3 + 60*f - 6*f**4 + 19*f**4 + 8*f**4 - 12 - 9*f**3 - 63*f**2 = 0. What is f?
-2, 2/7, 1
Let p be (-4 - -5)/((-1)/(-3)). Factor -1 - p*a + a**2 - 5 + 2*a + 4.
(a - 2)*(a + 1)
Let s(t) = t**2 + 3*t. Let h be s(-3). Suppose -3*n + 6 = -h*n. Let -3*p**4 + 0*p**4 + n*p**2 - 3*p**3 + 4*p**2 = 0. What is p?
-2, 0, 1
Let c = -6/19 - -56/57. Let t(q) be the first derivative of 3 - c*q**3 - 2*q + 2*q**2. Factor t(o).
-2*(o - 1)**2
Let h(n) = -48*n**2 - 69*n + 6. Let i(j) = 7*j**2 + 10*j - 1. Let c(q) = -4*h(q) - 27*i(q). Factor c(y).
3*(y + 1)**2
Let f(o) = 2*o**2 - o + 2. Let q be f(2). Suppose -11 = -5*h + 4, 4*h - q = 2*i. Suppose 4*s + 2*s - 1 + s**2 - i - 4*s**2 = 0. Calculate s.
1
Factor 0*s - 2*s**2 + 2/7*s**3 + 0.
2*s**2*(s - 7)/7
Let a(c) = c**2 - 3*c + 2. Let x(l) = 4*l**2 - 10*l + 6. Suppose 0 = -4*h - 3*q + 37, 0*h - 3*q = -5*h + 26. Let d(g) = h*a(g) - 2*x(g). What is r in d(r) = 0?
-2, 1
Let l(d) be the first derivative of d**6/9 + 2*d**5/15 - d**4/3 - 4*d**3/9 + d**2/3 + 2*d/3 - 7. Find h such that l(h) = 0.
-1, 1
Let b(g) = g**2 + 3. Let l be b(3). Let 3 - l*z**3 + 0*z + 9*z**2 - 6*z - 30*z**2 = 0. Calculate z.
-1, 1/4
Let c(z) = -z + 5. Let f be c(5). Suppose -4*r = -12 - f, 3*l = -2*r + 15. Factor -l*i + 3*i**5 - 5*i**4 + 3*i**4 + 6*i**2 + 2*i**4 - 6*i**4.
3*i*(i - 1)**3*(i + 1)
Factor -u**2 - u**2 + 17*u - 7*u - 14*u.
-2*u*(u + 2)
Let u(g) be the first derivative of g**5/35 + g**4/4 + 5*g**3/7 + 13*g**2/14 + 4*g/7 - 12. Find f such that u(f) = 0.
-4, -1
Let x(h) = -h**3 - h**2 + 4*h - 1. Let a be x(-3). Suppose a = w + 2. Suppose 0*f - f**2 - 9/2*f**w + 0 - 7/2*f**4 = 0. Calculate f.
-1, -2/7, 0
Let s(b) be the second derivative of -b**7/3360 - b**6/1440 + b**5/480 + b**4/96 + b**3/6 - b. Let h(v) be the second derivative of s(v). Solve h(k) = 0.
-1, 1
Suppose 6*g = 12*g. Let q(i) be the first derivative of 0*i**2 + g*i + 1 + 1/16*i**4 + 1/12*i**3. Determine y, given that q(y) = 0.
-1, 0
Suppose 11 = 4*p - 3*c, 0*p - 2*c = -p + 4. Factor 1 + i**p + i - 5 + 2.
(i - 1)*(i + 2)
Let c(m) be the third derivative of -m**7/1260 + m**6/360 + m**4/8 + m**2. Let w(b) be the second derivative of c(b). Factor w(f).
-2*f*(f - 1)
Let m(c) be the first derivative of 4*c**3 + 2 + 3/4*c**5 + 3/2*c**2 + 51/16*c**4 + 0*c. Let m(r) = 0. What is r?
-2, -1, -2/5, 0
Find a such that 0*a**2 - 8/11*a**4 + 0*a + 0 - 8/11*a**3 - 2/11*a**5 = 0.
-2, 0
Let b(t) = 14*t**2 - 10*t - 4. Let h(n) = 9*n**2 - 6*n - 3. Let k(w) = -5*b(w) + 8*h(w). Find o, given that k(o) = 0.
-2, 1
Let r(s) be the second derivative of s**6/720 + s**5/360 - s**4/144 - s**3/36 + 3*s**2/2 + 3*s. Let g(q) be the first derivative of r(q). Factor g(h).
(h - 1)*(h + 1)**2/6
Let i = -5 + 8. Suppose -g - i = b, -g + 0 - 5 = 0. What is d in d - 13*d**2 - b*d + 12*d**2 = 0?
-1, 0
Let q be (-30)/135 + (136/126)/1. Factor 6/7*r**4 + 0 + 2/7*r**5 + 0*r + q*r**3 + 2/7*r**2.
2*r**2*(r + 1)**3/7
Let a = -58 - -60. Factor 2/5 + 2*u**3 + 6/5*u - 18/5*u**a.
2*(u - 1)**2*(5*u + 1)/5
Let j(c) = c**4 + c**2 - 1. Let x(n) = -8*n**4 - 2*n**3 - 12*n**2 + 9. Let k(h) = 18*j(h) + 2*x(h). Factor k(u).
2*u**2*(u - 3)*(u + 1)
Let o(s) be the second derivative of -s**8/6720 + s**7/1680 - s**6/1440 + s**3/6 + 2*s. Let m(g) be the second derivative of o(g). Factor m(t).
-t**2*(t - 1)**2/4
Suppose -3*x - 2*a + 14 = -x, -3*x + 5*a = 19. Factor 2*q**2 - 2*q - x*q**2 - q**2 - 2*q**3 - 3*q**2.
-2*q*(q + 1)**2
Let i(q) be the third derivative of q**6/200 + q**5/100 - q**4/40 - q**3/10 - 2*q**2. Determine g so that i(g) = 0.
-1, 1
Let b(q) = -q**2 - 1. Let v(t) be the first derivative of 7*t**3/3 + 6*t + 6. Let n(u) = -39*b(u) - 6*v(u). Factor n(y).
-3*(y - 1)*(y + 1)
What is d in 0 - 2/3*d**2 - 1/3*d**3 - 1/3*d = 0?
-1, 0
Let r = 9 - 5. Let l be (r - -2)*(-4)/(-42). Factor -2*u**3 + 0 + 12/7*u**4 + 0*u + l*u**2.
2*u**2*(2*u - 1)*(3*u - 2)/7
Let g(v) be the third derivative of -1/240*v**6 - 1/24*v**4 - 1/40*v**5 + v**2 + 0*v**3 + 0*v + 0. Suppose g(r) = 0. What is r?
-2, -1, 0
Suppose 4*d + 26 = 3*m, m + d + 1 = -m. Suppose -6*x = -m*x. Let x*l + 1/4*l**2 + 1/2*l**3 + 0 - 1/2*l**5 - 1/4*l**4 = 0. What is l?
-1, -1/2, 0, 1
Let t(v) be the second derivative of 0 - 1/12*v**4 - 4*v + 1/2*v**2 + 0*v**3. Factor t(a).
-(a - 1)*(a + 1)
Let q be ((-3 + 3)/2)/2. Suppose -l + q*l = -5*w + 10, l = 2*w - 1. Find x, given that 0 + x**w + 1/2*x**4 - 1/4*x - 3/4*x**5 - 1/2*x**2 = 0.
-1, -1/3, 0, 1
Factor -2*a**2 + 0*a - 4*a - 80 + 78.
-2*(a + 1)**2
Suppose -5*h - 2*m = -0*h - 10, -m = 0. Let 0 - 3/5*k**h + 3/5*k = 0. Calculate k.
0, 1
Let y(n) be the first derivative of n**7/1400 + n**6/600 - n**3 - 5. Let i(u) be the third derivative of y(u). Let i(v) = 0. What is v?
-1, 0
Let q(l) be the third derivative of -2*l**7/105 - 2*l**6/15 - l**5/5 + 2*l**4/3 + 8*l**3/3 - 56*l**2. What is k in q(k) = 0?
-2, -1, 1
Let j(t) be the second derivative of -1/2*t**4 - t**2 + 1/10*t**5 + 0 + t**3 + 4*t. Factor j(c).
2*(c - 1)**3
Let -2*o**2 + 11 + 9 - 4*o**2 - 20*o - 9*o**2 = 0. Calculate o.
-2, 2/3
Let n = 0 + -6. Let l(p) = -p**2 - 6*p + 3. Let f be l(n). Find r, given that r - r**f + 0*r**5 + r**5 - r**3 = 0.
-1, 0, 1
Suppose -13 + 55 = -2*r. Let h = r - -23. Find y such that 0 - 1/4*y**3 + 0*y**h + 0*y = 0.
0
Let t(r) be the second derivative of -6*r**7/77 - r**6/11 + 8*r**5/55 + r**4/11 - 2*r**3/11 + r**2/11 + 11*r. What is u in t(u) = 0?
-1, 1/3, 1/2
What is p in -36/13*p**3 + 14/13*p**4 - 56/13*p**2 + 8/13*p**5 + 0 + 16/13*p = 0?
-2, 0, 1/4, 2
Let u be (-115)/(-220) - (-54)/(-198). Factor 4*o**2 + u - 2*o.
(4*o - 1)**2/4
Let y(q) be the first derivative of q**4/4 - 2*q**3/3 - q**2/2 + 2*q + 3. Factor y(v).
(v - 2)*(v - 1)*(v + 1)
Let y = -13 + 28. Let 55*h**5 - 35*h**4 + 18*h**2 - 19*h**4 + 4*h - 8*h**3 - y*h**5 = 0. Calculate h.
-2/5, -1/4, 0, 1
Let x(j) be the first derivative of j**8/4200 + j**7/2100 - j**6/900 - j**5/300 - 7*j**3/3 + 5. Let b(k) be the third derivative of x(k). Factor b(t).
2*t*(t - 1)*(t + 1)**2/5
F