x).
-2*x*(x + 1)
Let m = -49 + 50. Let c(g) be the first derivative of 0*g**2 + 4/33*g**3 + m - 5/22*g**4 + 0*g. Let c(x) = 0. Calculate x.
0, 2/5
Let p(m) = -m**3 + 5*m**2 - 4*m + 5. Let x be p(4). Let s = 13 - 8. Factor -2 + s*k**2 - x*k + k**2 + 9*k.
2*(k + 1)*(3*k - 1)
Let y = 4/115 + -1/690. Let m(r) be the third derivative of 1/3*r**3 + y*r**5 + 0*r - r**2 - 1/6*r**4 + 0. Let m(g) = 0. What is g?
1
Let -184*d**3 - d + 0*d**2 - 2*d**2 + 183*d**3 = 0. What is d?
-1, 0
Let s(r) be the third derivative of 1/3*r**3 + 0 - 7/12*r**4 + 49/120*r**5 + 2*r**2 + 0*r. Factor s(u).
(7*u - 2)**2/2
Let x(u) be the first derivative of -u**7/4200 + u**6/1800 + 2*u**3 + 7. Let t(p) be the third derivative of x(p). What is m in t(m) = 0?
0, 1
Let t(l) = 6*l**3 + 3*l**2 - 7*l - 1. Let c(z) = -z**3 + z**2 + 1. Let b(n) = c(n) - t(n). Factor b(i).
-(i - 1)*(i + 1)*(7*i + 2)
Let l = -14165/6 - -2314. Let i = l + 97/2. Factor 8/3*t**3 + 0 - 1/3*t**2 - 2/3*t - i*t**4.
-t*(t - 1)**2*(5*t + 2)/3
Let o(h) be the second derivative of 25*h**7/42 + 13*h**6/2 + 519*h**5/20 + 553*h**4/12 + 40*h**3 + 18*h**2 + 5*h. Suppose o(u) = 0. What is u?
-3, -1, -2/5
Let c be -1 + (-8)/(-12) - 21/(-9). Factor 10/7*n + 2*n**c - 4/7.
2*(n + 1)*(7*n - 2)/7
Let z(b) be the third derivative of -b**7/5040 + b**6/360 - b**5/60 - 5*b**4/24 - b**2. Let p(w) be the second derivative of z(w). Factor p(o).
-(o - 2)**2/2
Let n(d) be the second derivative of -d**7/1260 - d**6/180 + d**4/4 + 3*d. Let a(x) be the third derivative of n(x). Factor a(w).
-2*w*(w + 2)
Let n(b) be the first derivative of -1/4*b**4 - 1 + 3/4*b**3 - 3/4*b**2 + 1/4*b. Factor n(k).
-(k - 1)**2*(4*k - 1)/4
Factor 4*q**3 + 2*q**5 + 8*q**2 - 6*q - 2*q**2 - 6*q**4 + 2 - 2*q**2.
2*(q - 1)**4*(q + 1)
Let t = 2 - -2. Suppose -10 = -0*a - 2*a. Factor -2*j**2 + j**4 + j**t + 2*j - 3*j + j**a.
j*(j - 1)*(j + 1)**3
Solve 0 + 3/5*j**2 - 42/5*j = 0.
0, 14
Let x(j) be the second derivative of -3*j**5/100 + j**4/4 - 7*j**3/10 + 9*j**2/10 + j. Suppose x(k) = 0. Calculate k.
1, 3
Let n be (-8)/36 - (-64)/126. Factor -8/7*u**2 + n*u**3 + 10/7*u - 4/7.
2*(u - 2)*(u - 1)**2/7
Let l(m) = -m. Let f(z) = 2*z**3 - 4*z**2 - 2*z. Let x(g) = f(g) - 2*l(g). Let x(w) = 0. Calculate w.
0, 2
Let b(v) be the second derivative of v**7/35 + 8*v**6/75 + 3*v**5/25 - v**3/15 - 12*v. Factor b(s).
2*s*(s + 1)**3*(3*s - 1)/5
Let i(n) = n**2 - 4*n - 7. Let d be i(6). Suppose -10 = c - d*c + 2*k, -5*c + 40 = 3*k. Factor 2*l**2 + 5*l**2 - l - c*l**2 - l**2.
l*(l - 1)
Suppose -s - 4 = 0, 0*g - 2*s = 3*g + 5. Let l(w) = -w**3 + w**2. Let t(v) = -v**3 + v**2 - 2*v. Let o(f) = g*t(f) - 2*l(f). Suppose o(i) = 0. What is i?
-1, 0, 2
Let d(h) be the first derivative of h**4/9 - h**3/9 - h**2/3 - 4*h + 4. Let z(j) be the first derivative of d(j). Let z(m) = 0. What is m?
-1/2, 1
Let t(j) = -4*j**2 - 16*j. Let v be t(-4). Factor 0*c**2 - 1/2*c**3 + 0*c + v.
-c**3/2
Let f(w) be the second derivative of w**8/5880 - w**6/420 + w**5/210 + w**3/2 + 3*w. Let j(l) be the second derivative of f(l). Solve j(z) = 0 for z.
-2, 0, 1
Let v(d) be the third derivative of 3*d**2 - 2/3*d**3 + 0*d + 0*d**5 + 0 - 1/60*d**6 + 1/4*d**4. Find y such that v(y) = 0.
-2, 1
Suppose -3*u + 5*m = -3 - 77, 3*u - 71 = -4*m. Let a = u - 13. Determine h so that 2*h + 1 - 3*h + h**3 + 11*h**2 - a*h**2 = 0.
-1, 1
Let p(m) be the first derivative of 5*m**6/3 - 24*m**5/5 + 2*m**4 + 20*m**3/3 - 9*m**2 + 4*m + 11. Factor p(a).
2*(a - 1)**3*(a + 1)*(5*a - 2)
Suppose -3*f - 4*u = -4, -1 = -u - 3. Suppose f*j = o - 0*o + 15, o + 4*j = 25. What is x in 0*x + 0 + 15/4*x**3 + 3*x**4 + 3/2*x**2 + 3/4*x**o = 0?
-2, -1, 0
Suppose -3*q + 5*y + 14 = y, 2*y + 6 = q. Let f be (1/q)/(2/12). Factor -f*g**2 - 3*g + 1 - g**3 - 2 + 0*g**3.
-(g + 1)**3
Factor 2/3*i**3 + 0*i + 2/3*i**4 + 0*i**2 + 0.
2*i**3*(i + 1)/3
Let c(b) be the third derivative of 0*b - 5*b**2 + 1/3*b**3 + 0*b**4 - 1/30*b**5 + 0. Determine i so that c(i) = 0.
-1, 1
Let n(l) = l**2 + 4*l - 5. Let x be n(-8). Let s = x - 53/2. Factor -1/2*m**2 - 1/2*m**3 + s*m + 1/2.
-(m - 1)*(m + 1)**2/2
Let w be ((-34)/(-51))/(1/9*3). Factor -4/11*r + 2/11 + 2/11*r**w.
2*(r - 1)**2/11
Let o(a) be the third derivative of a**5/60 + 7*a**4/12 + 13*a**3/6 + 6*a**2. What is s in o(s) = 0?
-13, -1
Factor 35*c**3 + 37*c**3 + 18*c**4 - 3*c**3 + 54*c**2 - 15*c**3 + 2*c**5.
2*c**2*(c + 3)**3
Factor -2/7*k**2 - 2/7*k + 0 + 2/7*k**4 + 2/7*k**3.
2*k*(k - 1)*(k + 1)**2/7
Let m(p) be the third derivative of p**6/30 - 13*p**5/5 + 169*p**4/2 - 4394*p**3/3 + p**2. Factor m(j).
4*(j - 13)**3
Let s(f) = 4*f**2 + 4*f - 2. Suppose -3*i + 2*r = 14, -2*r + 1 + 15 = -4*i. Let p(n) = -3*n**2 - 3*n + 2. Let g(x) = i*s(x) - 3*p(x). Solve g(w) = 0 for w.
-2, 1
Let h(j) = j**2 - 2*j. Let a be h(2). Solve 0 + 0*f + a*f**2 - 2/9*f**4 - 2/9*f**3 = 0 for f.
-1, 0
Let -5/2*m**2 + 0 + 5/2*m = 0. What is m?
0, 1
Let l = 15 + -8. Let w(z) = z**2 + z + 5. Let r(j) = -10*j - j**2 + 22*j - 13*j + 0*j**2 - 4. Let p(o) = l*r(o) + 6*w(o). Let p(c) = 0. What is c?
-2, 1
Let d(v) = 4*v**2 - 19*v - 5. Let a be d(5). Factor 3/2*w**2 + 0 + a*w.
3*w**2/2
Let p(i) = 24*i + 24. Let b(s) = s**2 + 24*s + 23. Let h(f) = 4*b(f) - 3*p(f). Let h(u) = 0. What is u?
-5, -1
Suppose 0 = -5*b + 5, 2*o - b - 6 = -5*b. Let r be (-9)/(-6) + o/2. Factor -6*k**2 - r*k - 2 + 2*k**3 + 0*k**3 + 8*k.
2*(k - 1)**3
Solve 0*s**2 + 1/2*s**3 + 0 - 1/2*s = 0 for s.
-1, 0, 1
Suppose -5*x - 15 = -k, -3*k + x + 2*x = -9. Let c(a) be the first derivative of a**3 + 3/4*a**4 + 1/5*a**5 + 1/2*a**2 + 2 + k*a. Let c(n) = 0. What is n?
-1, 0
Let t(v) = -24*v**2 + 72*v - 48. Let q(o) = -3*o**2 + 9*o - 6. Let k(a) = 33*q(a) - 4*t(a). Determine n so that k(n) = 0.
1, 2
Let n(i) be the second derivative of 0 + 1/30*i**6 + 1/8*i**2 + 7/24*i**3 + 13/80*i**5 + 5/16*i**4 - 2*i. Determine w, given that n(w) = 0.
-1, -1/4
Let j(o) be the second derivative of o**6/105 + o**5/70 - o**4/21 - o. What is a in j(a) = 0?
-2, 0, 1
Suppose 8*l - 3*l = -j - 18, 0 = -l - 3*j - 12. Let y be -1 + 1/l*-3. Factor 0*x + 0 - 1/5*x**4 + 0*x**2 + y*x**3.
-x**4/5
Let j(h) be the third derivative of -h**8/336 + h**7/210 + h**6/40 - h**5/12 + h**4/12 - 7*h**2. Find z, given that j(z) = 0.
-2, 0, 1
Let k(o) = -o**3 + 6*o**2 + 6*o + 9. Let s be k(7). Factor 8*x**3 - x**2 - x**4 - 11*x**3 - x - 2*x**s.
-x*(x + 1)**3
Let m(f) = -f**3 + 7*f**2 - 11*f + 5. Let g be m(5). Let p(k) be the second derivative of g*k**3 - 1/36*k**4 + 3*k + 0*k**2 + 0. Factor p(o).
-o**2/3
Let v = -7/13 + 86/39. Let w(p) be the first derivative of 0*p - 8/9*p**3 + 4 - 8/3*p**2 + v*p**4 - 2/5*p**5. Factor w(y).
-2*y*(y - 2)**2*(3*y + 2)/3
Suppose -3*r + 4*c - 246 = 747, 3*c + 645 = -2*r. Let x = r + 2297/7. Determine s so that 2/7*s**2 - 8/7*s + x = 0.
2
Let h(r) be the third derivative of 1/20*r**5 + 0*r + 1/2*r**4 + 3/2*r**3 - 4*r**2 + 0. Factor h(q).
3*(q + 1)*(q + 3)
Factor -3/8*z**2 - 3*z + 27/8.
-3*(z - 1)*(z + 9)/8
Let p(h) = 9*h**2 + 3*h + 4. Let c(t) = t**2 - 1. Let n(d) = -4*c(d) + p(d). Let y(f) = f + 1 + 2 + 3*f**2 - f**2. Let j(k) = -3*n(k) + 8*y(k). Factor j(o).
o*(o - 1)
Let q(n) be the second derivative of -n**9/1512 + n**8/840 + n**7/420 - n**6/180 - n**3/3 + n. Let z(o) be the second derivative of q(o). Factor z(p).
-2*p**2*(p - 1)**2*(p + 1)
Factor -4/11 + 34/11*o**2 + 30/11*o.
2*(o + 1)*(17*o - 2)/11
Let s(i) be the third derivative of i**8/1008 - i**7/105 + 13*i**6/360 - i**5/15 + i**4/18 + 30*i**2. Suppose s(g) = 0. Calculate g.
0, 1, 2
Let -50*c - 6*c**3 - 2/5*c**4 + 0 - 30*c**2 = 0. What is c?
-5, 0
Let v(d) be the third derivative of d**8/1680 + d**7/420 + d**6/360 - d**3/6 + 2*d**2. Let p(a) be the first derivative of v(a). Factor p(f).
f**2*(f + 1)**2
Let d(i) be the third derivative of -i**6/840 + i**5/105 + 19*i**2. Determine l so that d(l) = 0.
0, 4
Let j(r) be the second derivative of -r**6/75 + 4*r**5/25 - 4*r**4/5 + 32*r**3/15 - 16*r**2/5 - 61*r. Factor j(m).
-2*(m - 2)**4/5
Suppose 0 = 7*s - 7 - 7. Solve 0*d**s - 1/3*d + 1/3*d**3 + 0 = 0.
-1, 0, 1
Suppose -5*h - 4*d = -4*h + 5, -5*h + 2*d = -19. Let l be 4/12 - (-11)/h. Solve 4*r**3 - 4*r**3 - 2*r**l + 2*r**5 = 0 for r.
0, 1
Let p(f) be the first derivative of -f**5/2 + 7*f**4/6 - 2*f**3/3 - 2*f - 4. Let k(x) be the first derivative of p