v = 3*z - 9, 2*z + 3*z + 25 = 5*v. Find g, given that 1 - 4*g**2 + 2*g**4 - 2*g**v + g - g**4 + 2*g**2 + g**5 = 0.
-1, 1
Let f(b) be the first derivative of 0*b + 2 - 3/4*b**4 + 3/2*b**2 - 4*b**3 + 12/5*b**5. Factor f(u).
3*u*(u - 1)*(u + 1)*(4*u - 1)
Factor -100*d**2 - 10 + 61*d - 26 + 56*d + 3*d.
-4*(5*d - 3)**2
Let b(m) = 8*m**3 - 6*m**2 + 3*m + 5. Let a(o) = 9*o**3 - 6*o**2 + 3*o + 6. Let u(h) = -5*a(h) + 6*b(h). Factor u(i).
3*i*(i - 1)**2
Let z = 38 + -36. Let a(w) be the first derivative of 0*w - 1/2*w**z + 2 + 0*w**3 + 3/4*w**4 + 2/5*w**5. Determine x, given that a(x) = 0.
-1, 0, 1/2
Let q(t) be the third derivative of -t**8/2016 + t**7/420 + t**6/240 - 11*t**5/360 + t**4/24 - 34*t**2. Determine k, given that q(k) = 0.
-2, 0, 1, 3
Let f(m) be the second derivative of m**4/24 + m**3/6 + m**2/4 + 18*m. Factor f(o).
(o + 1)**2/2
Factor -a**2 - 48 + 48 - a**3.
-a**2*(a + 1)
Suppose 3*y = 2*i + 21, 0*y - 5*y + 31 = -2*i. Suppose 0 = y*o - 11 - 9. Factor -o*c + 2*c + 2*c - c**2 - 4*c - 4.
-(c + 2)**2
Let b(h) be the second derivative of 0 + 1/6*h**4 + 4*h + 1/3*h**2 + 1/30*h**5 + 1/3*h**3. What is r in b(r) = 0?
-1
Let w(h) = -h**2 - 5*h - 4. Let n be w(-3). Find i, given that 1 - i + 1/4*i**n = 0.
2
Suppose 5*t + 4*h + 15 = 0, 6*h + 25 = h. Factor 3*a**3 - 4 - 9*a**2 + 0*a + 9*a + t.
3*(a - 1)**3
Let r(i) be the second derivative of 1/3*i**3 - 7/12*i**4 + 0 - 1/6*i**6 + 1/42*i**7 + 9/20*i**5 - 2*i + 0*i**2. Find k such that r(k) = 0.
0, 1, 2
Let p be (2/(-5))/((-3)/5). Let h be (-48)/(-9) - (-1)/(-3). Factor 0*n**3 + 0 + 1/3*n - 1/3*n**h - p*n**4 + 2/3*n**2.
-n*(n - 1)*(n + 1)**3/3
Let c be 2 + 2/(-2) - -1. Let m(s) be the third derivative of 1/20*s**5 + 0 - 1/40*s**6 + 0*s**3 + 4*s**c + 0*s**4 + 0*s. Suppose m(u) = 0. What is u?
0, 1
Let h(c) be the third derivative of -8*c**8/35 - 272*c**7/525 - 11*c**6/25 - 9*c**5/50 - c**4/30 - 19*c**2. Find f, given that h(f) = 0.
-2/3, -1/4, 0
Let k(n) = -5*n + 5. Let s be k(9). Let a be (-8)/s*(-20)/(-6). Factor 0 + 4/3*p**3 + 2/3*p**2 - a*p**4 - 4/3*p.
-2*p*(p - 2)*(p - 1)*(p + 1)/3
Let r = 10/33 + 4/11. Determine l so that 0 - r*l**2 + 2/3*l = 0.
0, 1
Let j(n) = n**3 - 22*n**2 - n + 22. Let r be j(22). Factor -1/2*f**2 + 0 + r*f.
-f**2/2
Suppose 0 = -5*v + 103 + 42. Suppose v = 2*u - 5*x - 0*x, 4*u = x + 13. Factor 2 - 2*a**u + 5 - 5.
-2*(a - 1)*(a + 1)
Suppose 6*x = -x - 77. Let q = -9 - x. Factor -1 + 0*l**q + 3/2*l - 1/2*l**3.
-(l - 1)**2*(l + 2)/2
Let d(q) be the first derivative of 1 + 2*q**2 - 2*q - 2/3*q**3. Factor d(n).
-2*(n - 1)**2
Let w(n) = -2*n. Let m be w(2). Let a be m/(-5)*15/3. Let 2*h**4 - 4*h**a + h**5 + h**5 = 0. Calculate h.
0, 1
Let 1/2*s**2 + 0 + 1/4*s**3 + 1/4*s = 0. What is s?
-1, 0
Let z(v) = 3*v. Let d be z(1). Let k be 0 + (44/12 - 2). Let -2/3 - k*b**d - 1/3*b**2 + b**4 + 5/3*b = 0. Calculate b.
-1, 2/3, 1
Suppose 0 = 4*c + 20, -2*c = 2*n - 5*n + 22. Suppose -5/4*p**n - 1/4 - 1/4*p**5 - 5/4*p - 5/2*p**3 - 5/2*p**2 = 0. What is p?
-1
Let l(u) be the second derivative of -u**4/6 - 4*u**3/3 - 4*u**2 - 22*u. Let l(x) = 0. What is x?
-2
Let a be ((-27)/6)/(-9)*0/1. Let d(z) be the second derivative of 0*z**2 + a + z + 0*z**4 + 0*z**3 - 1/60*z**5. Factor d(m).
-m**3/3
Let p(m) = -2*m**3 - m - 1. Let a be p(-1). Determine r so that r**3 + 5*r**2 + 3*r**3 + 2*r**4 - 3*r**a = 0.
-1, 0
Let v(m) be the third derivative of m**6/90 + m**5/30 - m**4/18 - 2*m**2. Factor v(l).
2*l*(l + 2)*(2*l - 1)/3
Let s(l) = -19*l**3 + 19*l - 7. Let y(n) = -6*n**3 + 6*n - 2. Let u(p) = -2*s(p) + 7*y(p). What is d in u(d) = 0?
-1, 0, 1
Let t be (-3 + 2)*-2*(-10)/(-4). Factor 12 + 33/2*v**3 - 18*v - 9*v**4 + 3/2*v**t - 3*v**2.
3*(v - 2)**3*(v - 1)*(v + 1)/2
Let -13*m**2 + 9*m**2 - 50*m + 58*m = 0. Calculate m.
0, 2
Solve 0*s**2 - s**2 + 9*s + 6*s - 64 + s = 0 for s.
8
Factor 2*v**3 + 7*v**4 - 9*v**4 - 3 - 4*v + 2*v**3 + 8*v**2 - 3.
-2*(v - 3)*(v - 1)*(v + 1)**2
Let b(a) be the second derivative of 3*a**5/20 - a**4/4 - a**3/2 + 3*a**2/2 + 5*a. Suppose b(p) = 0. Calculate p.
-1, 1
Let m(z) = z**4 + z**2 - z - 1. Let i(g) = -2*g**4 + 12*g**3 + 26*g**2 - 114*g + 94. Let p(b) = -i(b) + 2*m(b). Factor p(k).
4*(k - 2)**3*(k + 3)
Let n(v) = 3*v + 7. Let j be n(-1). Factor 2/3*t**2 + 0*t - 4/3*t**3 + 2/3*t**j + 0.
2*t**2*(t - 1)**2/3
Let -5/2*n**5 + 10 + 0*n + 15/2*n**4 - 35/2*n**2 + 5/2*n**3 = 0. Calculate n.
-1, 1, 2
Let j(o) = o**3 + 4*o**2 - 2. Let z be j(-3). Suppose z*r = 4*r. Let 2/3 + r*l - 2/3*l**2 = 0. Calculate l.
-1, 1
Let s(o) = 2*o**2 + 17*o + 23. Let f(c) = c**2 + 8*c + 11. Let d = 11 - 16. Let b(p) = d*f(p) + 2*s(p). Solve b(i) = 0 for i.
-3
Let o(q) be the third derivative of q**6/600 - q**4/40 - q**3/15 - q**2. Suppose o(b) = 0. What is b?
-1, 2
Suppose 26 = 2*s + 4*r, -3*s + 0*s - 11 = -4*r. Factor 5*l + s + l - 4*l - 3*l**3 + l - 3*l**2.
-3*(l - 1)*(l + 1)**2
Let 0*d**3 + 4*d**2 - 2*d - 4 + 5*d**3 - 3*d**3 = 0. What is d?
-2, -1, 1
Let t(w) be the third derivative of w**6/36 + 2*w**5/45 - 11*w**4/36 + 2*w**3/9 + 17*w**2. Factor t(n).
2*(n - 1)*(n + 2)*(5*n - 1)/3
Let s(r) be the second derivative of -3*r**5/140 - 5*r**4/84 + r**3/21 + 11*r. Factor s(w).
-w*(w + 2)*(3*w - 1)/7
Suppose 0*j - 8 = -4*j. Let x(w) be the third derivative of 0*w - 23/480*w**6 - 1/120*w**7 + j*w**2 - 13/96*w**4 - 1/12*w**3 + 0 - 9/80*w**5. Factor x(p).
-(p + 1)**3*(7*p + 2)/4
Let o(i) be the first derivative of 1/5*i + 1/20*i**4 + 1/5*i**3 + 3 + 3/10*i**2. Factor o(v).
(v + 1)**3/5
Let n(h) = h + 2*h - 9 - 4*h + 0*h. Let w be n(-11). Factor 0*j + 0 + 0*j**w + 2/5*j**5 - 2/5*j**3 + 0*j**4.
2*j**3*(j - 1)*(j + 1)/5
Let c(y) = 1 - 10*y - y**2 + 3*y - 3 + 4. Let t be c(-7). Factor 1/4*k**3 - 3/4*k**t + 3/4*k - 1/4.
(k - 1)**3/4
Let p(x) be the first derivative of -1/22*x**4 + 1 - 2/11*x**3 - 2/11*x - 3/11*x**2. Factor p(i).
-2*(i + 1)**3/11
Let c(z) be the first derivative of 3*z**4 + 4*z**3/3 - 1. Let c(p) = 0. Calculate p.
-1/3, 0
Let v be (2/(-16))/(-1 - (-52)/(-8)). Let m(d) be the third derivative of 0*d + 1/120*d**6 + 0*d**3 - 1/12*d**4 + 0 - v*d**5 + 2*d**2. Factor m(s).
s*(s - 2)*(s + 1)
Let j = 526 - 522. Factor -108/5*q**2 + 216/5*q - 162/5 - 2/5*q**j + 24/5*q**3.
-2*(q - 3)**4/5
Let b = 389 + -1789/5. Let p = b + -31. Suppose p*v**2 + 1/5 - 2/5*v = 0. Calculate v.
1
Let q(m) be the second derivative of m**4/24 - m**3/6 + m**2/4 - 7*m. Let q(v) = 0. Calculate v.
1
Factor -s + s**2 - 6 - 4*s + s**3 + 12 - 3.
(s - 1)**2*(s + 3)
Let v(k) be the third derivative of -k**5/330 - k**4/22 - 3*k**3/11 - 3*k**2 - 11*k. Factor v(a).
-2*(a + 3)**2/11
Suppose q - 1 - 7 = 0. Determine f, given that -28*f + 44*f**5 + 4*f**4 - q - 43*f**5 + f**3 + 8*f - 14*f**2 = 0.
-2, -1, 2
Let p(i) be the third derivative of i**5/270 + i**4/27 + 4*i**3/27 - 25*i**2. Suppose p(t) = 0. What is t?
-2
Let t = -8 - -4. Let j(l) = -6*l**4 - 2*l**3 + 4*l + 4. Let o(z) = -5*z**4 - z**3 + z**2 + 3*z + 3. Let r(a) = t*o(a) + 3*j(a). Solve r(d) = 0.
-1, 0, 2
Suppose 80*m - 88*m + 24 = 0. Let 2/7*z**m + 6/7*z**2 + 6/7*z + 2/7 = 0. What is z?
-1
Let a(x) be the second derivative of x**6/780 + 2*x**5/195 + 5*x**4/156 + 2*x**3/39 + 7*x**2/2 - 4*x. Let p(c) be the first derivative of a(c). Factor p(q).
2*(q + 1)**2*(q + 2)/13
Let b(s) = s**3 + s. Let y(t) = t**3 + 3*t**2 + 7*t + 4. Let k(l) = -4*b(l) + y(l). Let x(i) be the first derivative of k(i). What is g in x(g) = 0?
-1/3, 1
Solve -2/13 + 2/13*z**2 - 2/13*z**3 + 2/13*z = 0.
-1, 1
Suppose 2*f = -3*f - 25. Let k(r) = -22*r**2 - 4*r - 22. Let g(q) = 7*q**2 + q + 7. Let m(x) = f*k(x) - 16*g(x). Factor m(s).
-2*(s - 1)**2
Let h(w) = w**2 + w - 1. Let z(x) = -x**3 + 8*x**2 + 9*x - 7. Let a = -11 + 8. Let j(i) = a*z(i) + 21*h(i). Factor j(o).
3*o*(o - 2)*(o + 1)
Let z(a) = -2*a - 6. Let l be z(-3). Let q(v) be the second derivative of -1/5*v**2 + l + 1/30*v**4 - v - 7/100*v**5 + 7/30*v**3. What is m in q(m) = 0?
-1, 2/7, 1
Suppose -23 = 5*z + 7. Let v(r) = r**2 - 2 - 5 + 2 + 5*r - 8*r**2. Let d(s) = -4*s**2 + 3*s - 3. Let y(h) = z*v(h) + 10*d(h). Factor y(g).
2*g**2
Let r(c) be the third derivative of c**6/1980 + c**5/330 + c**4/132 - c**3/2 + 4*c**2. Let o(j) be the first derivative of r(j). Solve o(s) = 0.
-1
Suppose -5*a + 8 = -7. Suppose a*o = o. Factor 1/3*x**4 + 0 + 1/3*x**3 + o*x + 0*x**2.
x**3