 7)*(h - 1)**2
Let x(i) = -i**2 - 10*i + 15. Let z be x(-11). Find h, given that -10*h**3 - 16*h**4 + 2*h**3 - 28*h**z = 0.
-2/11, 0
Let q be 3/16*(-34)/(-153). Let t(x) be the third derivative of 0*x**4 + 0*x - q*x**3 + 0 + 1/240*x**5 - x**2. Suppose t(y) = 0. What is y?
-1, 1
Let r = 5 - -11. Let g be r/7 + (-44)/154. Factor 14*q**g - 98/3*q**3 + 8/3 + 16*q.
-2*(q - 1)*(7*q + 2)**2/3
Let z(s) = -20*s**2 - 11*s. Let q(x) = 7*x**2 + 4*x. Let r(y) = -11*q(y) - 4*z(y). Let f be r(1). Determine w, given that 5*w**2 + w**2 - 4 + f + w = 0.
-1/2, 1/3
Let o = -158 - -633/4. Determine p so that 0 - 3/4*p**2 + o*p**3 + 1/2*p = 0.
0, 1, 2
Factor 0 + 0*a + 1/3*a**2 + 1/6*a**4 - 1/2*a**3.
a**2*(a - 2)*(a - 1)/6
Let m(k) be the second derivative of k**7/462 - 3*k**5/220 - k**4/66 + 16*k. Suppose m(b) = 0. Calculate b.
-1, 0, 2
Let l(r) = 4*r**5 + 12*r**4 - 6*r**2 + 6*r. Let m(a) = a**5 + a**4 - a**2 + a. Let u(n) = l(n) - 6*m(n). Factor u(g).
-2*g**4*(g - 3)
Let i(s) be the third derivative of s**5/180 - s**4/9 + 8*s**3/9 + 10*s**2. Determine j so that i(j) = 0.
4
Let t(c) be the second derivative of c**6/15 - 7*c. Factor t(k).
2*k**4
Let o = 95/198 - -2/99. Let s(f) be the first derivative of 1 - o*f**4 + 2*f**3 - 3*f**2 + 2*f. Factor s(q).
-2*(q - 1)**3
Let v(x) be the first derivative of x**3/15 - 3*x**2/10 - 4*x/5 - 7. Find z, given that v(z) = 0.
-1, 4
Let w = 15 + -13. Let p(y) be the first derivative of -8*y - 2*y**3 - 1 - 1/4*y**4 - 6*y**w. Determine j so that p(j) = 0.
-2
Let c = -64 - -64. Find f such that -2/3*f**2 + 0*f + 2/3*f**4 + c - 7/3*f**5 + 7/3*f**3 = 0.
-1, 0, 2/7, 1
Let b = 11 + -7. Suppose 0 = 2*o + b*t + 16, -o = -4*o + t + 11. Suppose 2*h**3 - 2*h**o - h**3 - h + h**2 + 1 = 0. Calculate h.
-1, 1
Let m be -1 + 0 + 2 + 2. Suppose 0*n = -n + m. Let 3*g + 4*g**2 + 3*g**4 + 5*g**n + 5*g**2 + 4*g**3 = 0. Calculate g.
-1, 0
Factor 4/5*f**2 - 4/5*f**3 + 4*f + 12/5.
-4*(f - 3)*(f + 1)**2/5
Let q(h) be the second derivative of h**7/56 + h**6/20 + 3*h**5/80 + 4*h. Factor q(n).
3*n**3*(n + 1)**2/4
Suppose 4*w**2 + 12*w - 11*w**2 - 8 + 0*w**2 + 3*w**2 = 0. What is w?
1, 2
Let b(q) = -24*q**5 - 48*q**4 + 12*q**3 + 44*q**2 + 12*q. Let v(p) = -p**4 + p**3 - p**2 - p + 1. Let r(t) = b(t) - 4*v(t). Suppose r(k) = 0. Calculate k.
-1, 1/6, 1
Let r(k) be the first derivative of -3/4*k**2 + 4 - 1/2*k**3 - 1/2*k - 1/8*k**4. Find c, given that r(c) = 0.
-1
Let b(t) = -t**4 + t. Let l(j) = 5*j**4 + 3*j**3 + 3*j**2 - 3*j. Let o(g) = -4*b(g) - l(g). Solve o(w) = 0 for w.
-1, 0
Let l(k) be the first derivative of 3*k**5/5 - 3*k**4/4 - 3*k**3 + 15*k**2/2 - 6*k - 10. Solve l(o) = 0.
-2, 1
Let m(i) = i**3 - 15*i**2 + 12*i - 4. Let c(d) = 4*d**3 - 76*d**2 + 60*d - 20. Let s(r) = -3*c(r) + 16*m(r). Let s(j) = 0. What is j?
1
Suppose -6 = -3*l - 0. Determine b so that -2/5*b**l + 0 - 4/5*b = 0.
-2, 0
Suppose -4*y + 36 = -f + 5*f, -6 = -4*f + 2*y. Suppose -3 + h - f + 2*h**2 + 3 + h = 0. Calculate h.
-2, 1
Let h(x) = -x - 8. Let u(t) = -t - 9. Let o(b) = -5*h(b) + 4*u(b). Let m be o(-4). Let -1/4*d**3 + 0*d + 1/4*d**2 + m = 0. Calculate d.
0, 1
Let o = 168121/120 + -1401. Let y(u) be the third derivative of 0*u + 1/6*u**3 + 0 - u**2 + o*u**5 + 1/16*u**4. What is d in y(d) = 0?
-2, -1
Factor -14*b + 8*b - 2*b**2 + 7*b + 3*b - 6*b**3.
-2*b*(b + 1)*(3*b - 2)
Suppose -3*c + 3*w + 3 = 0, -3*c + 5*w + 7 - 2 = 0. Factor 0*z - 6*z**4 + 8*z**3 + 2*z**2 - 4*z + c*z**3.
-2*z*(z - 1)**2*(3*z + 2)
Let g(o) be the second derivative of 0 - 2*o - 1/6*o**4 - 1/3*o**3 + 0*o**2. Find v such that g(v) = 0.
-1, 0
Let c(t) be the first derivative of 3*t**4/16 + t**3/4 + 7. Factor c(h).
3*h**2*(h + 1)/4
Let z be (12 + -9)*(-4)/(-6). Find s, given that -8*s**z + 4*s + 4*s**3 - s + s = 0.
0, 1
Let a(n) be the third derivative of n**7/490 - n**5/35 + 24*n**2. Factor a(t).
3*t**2*(t - 2)*(t + 2)/7
Let q(x) be the third derivative of x**8/1680 - x**7/840 - x**6/720 + x**4/12 - 2*x**2. Let t(l) be the second derivative of q(l). Determine a so that t(a) = 0.
-1/4, 0, 1
Suppose 0*b - b = 0. Suppose b = -2*x - 2*x + 20. Solve -1 + x*d - 2*d**5 + 4*d**3 - 5*d - 2*d + 2*d**2 - d**4 = 0 for d.
-1, -1/2, 1
Let y(h) be the second derivative of -h**4/60 + h**2/10 + 6*h. Find x such that y(x) = 0.
-1, 1
Let o(x) = -3*x**4 - 4*x**3 - x**2 + 4*x + 4. Let l(y) = -3*y**4 - 5*y**3 - 2*y**2 + 5*y + 5. Let z(j) = -4*l(j) + 5*o(j). Factor z(h).
-3*h**2*(h - 1)*(h + 1)
Let c(w) = w - 5. Let b be (-34)/(-4) - 24/16. Let a be c(b). Factor 0 - 4/7*s**3 + 2/7*s**a + 0*s + 2/7*s**4.
2*s**2*(s - 1)**2/7
Suppose -2*w - 5 - 5 = -3*u, 4*u - 18 = 5*w. Let -1/3*c**u - 5/3*c + 1/3*c**3 - 1 = 0. What is c?
-1, 3
Suppose 0 = -12*t + 6*t. Factor 0*u**3 + 2/3*u**4 - 2/3*u**2 + t*u + 0.
2*u**2*(u - 1)*(u + 1)/3
Let n(t) = -t**2. Let x be n(0). Let i be x*(3 + 21/(-6)). Solve 105/2*v**4 + i + 49*v**5 - 13/2*v**3 - 12*v**2 - 2*v = 0 for v.
-1, -2/7, 0, 1/2
Let w(y) be the first derivative of 15*y**4/4 + 4*y**3 + 6*y**2/5 - 6. Factor w(a).
3*a*(5*a + 2)**2/5
Let b(p) = -p**2 - 6*p - 4. Let w be b(-4). Let k be w/18 + (-12)/(-27). Let 0 - 2/3*u**5 + k*u**3 + 0*u + 2/3*u**2 - 2/3*u**4 = 0. What is u?
-1, 0, 1
Let -2*h**2 - 6*h**4 - 3*h**3 - 3*h**5 + 2*h**2 = 0. Calculate h.
-1, 0
Let y(s) be the second derivative of 0*s**2 + 1/252*s**7 + 1/24*s**5 - 1/45*s**6 + 0*s**3 + 3*s - 1/36*s**4 + 0. Determine w so that y(w) = 0.
0, 1, 2
Let j(g) be the second derivative of g**5/10 - 9*g**4/10 + 8*g**3/3 - 12*g**2/5 - 23*g. Suppose j(l) = 0. Calculate l.
2/5, 2, 3
Let -1/2 + 0*p**2 + 3/4*p - 1/4*p**3 = 0. Calculate p.
-2, 1
Let j be (-28)/16 - (-4)/2. Suppose 0 = -4*d + 12 - 4. Factor c - j*c**d - 1.
-(c - 2)**2/4
Factor 0*v + 8/7 - 2/7*v**2.
-2*(v - 2)*(v + 2)/7
Let c(i) be the second derivative of -2*i**6/15 - 3*i**5/5 + 8*i**3/3 - 9*i. Determine t, given that c(t) = 0.
-2, 0, 1
Let o be (-12 - -13)*(-9 + 0). Let w be (9/(-6))/(o/4). Determine u so that 0 - 2/3*u**3 + 0*u + w*u**2 = 0.
0, 1
Factor 1/5*m**4 + 2/5*m**3 + 0 + 1/5*m**2 + 0*m.
m**2*(m + 1)**2/5
Suppose -3*j = 5*g + 3, 4*g = 4*j - 12 + 48. Let k = j + 10. Factor 2/3*r**2 + 0 + 2*r**3 + 0*r + 4/3*r**k.
2*r**2*(r + 1)*(2*r + 1)/3
Suppose 5*v + 3*b + 3 = 0, b - 2 = -3. Let v + 4/5*i**2 - 2/5*i**4 - 2/5*i**3 + 0*i = 0. What is i?
-2, 0, 1
Suppose 885*x - 889*x + 12 = 0. Find z such that 21/2*z - 27/2*z**2 - 3/2*z**4 + 15/2*z**3 - x = 0.
1, 2
Let f = 25/2 + -1312/105. Let j(c) be the third derivative of -1/210*c**6 + 1/735*c**7 + c**2 + f*c**5 + 0*c + 0*c**3 + 0 + 0*c**4. Solve j(x) = 0.
0, 1
Suppose 0 = -4*s + 20, -3*p = p + s - 25. Let x(b) be the first derivative of 1 + 3/16*b**4 - 1/4*b**3 - 1/20*b**p + 0*b + 1/8*b**2. Factor x(t).
-t*(t - 1)**3/4
Let x(p) be the first derivative of -p**4/8 - p**3/6 - 4. Factor x(j).
-j**2*(j + 1)/2
Find a such that -5*a**4 - 120*a**2 + 3*a**4 + 224*a + 14*a**3 - 128 + 12*a**3 = 0.
1, 4
Let p(a) be the third derivative of -a**8/168 - a**7/35 - a**6/30 + a**5/15 + a**4/4 + a**3/3 - 7*a**2. Find n, given that p(n) = 0.
-1, 1
Let r(w) be the third derivative of w**5/160 - 3*w**4/16 + 9*w**3/4 - 2*w**2. Suppose r(g) = 0. Calculate g.
6
What is q in 3/5*q**5 - 9/5*q**3 - 3/5*q**2 + 6/5*q + 0 + 3/5*q**4 = 0?
-2, -1, 0, 1
Let s(f) be the first derivative of -f**5/10 + 3*f**4/16 - f**2/8 + 14. Determine b so that s(b) = 0.
-1/2, 0, 1
Let c(t) be the third derivative of -t**10/540 - t**9/378 + t**8/3360 + t**7/630 + t**4/8 - 6*t**2. Let b(w) be the second derivative of c(w). Factor b(z).
-2*z**2*(2*z + 1)**2*(7*z - 2)
Factor 48 - 23*z + 3*z + 3*z**2 - 4*z.
3*(z - 4)**2
Let k(y) be the first derivative of 0*y - 1/6*y**4 - 1 + 0*y**2 + 1/9*y**3 + 1/15*y**5. Factor k(n).
n**2*(n - 1)**2/3
Let f(r) be the third derivative of r**5/60 - r**4/6 - 5*r**3/6 - 12*r**2. Factor f(c).
(c - 5)*(c + 1)
Let s(p) = 11*p**5 - 19*p**4 + 8*p**3 - 7*p**2 + 7*p. Let d(v) = -5*v**5 + 9*v**4 - 4*v**3 + 3*v**2 - 3*v. Let f(t) = -14*d(t) - 6*s(t). Solve f(q) = 0.
0, 1, 2
Suppose 7*p - 6 = 5*p. Let a(r) be the second derivative of -2*r - r**2 + 0 - 1/3*r**4 - 3/2*r**p. Factor a(i).
-(i + 2)*(4*i + 1)
Let y(u) = 13*u**2 + u + 9. Let d(m) = -m**2 - 6. Let z(g) = -2. Let q(b) = 3*d(b) - 8*z(b). Let p(v) = 18*q(v) + 4*y(v). Factor p(w).
-2*w*(w - 2)
Let i(s) = s**2 + 7*s + 4. Let p b