2 - x.
3*(b + 1)*(2*b - 1)
Let i(x) be the second derivative of -x**5/5 - 4*x**4/3 - 8*x**3/3 - 2*x. Factor i(r).
-4*r*(r + 2)**2
Let z be (-5)/2*(-1 - 1). Suppose z*u - 29 = -4. Factor u - 3 + 0*q**2 + q**2 - 3.
(q - 1)*(q + 1)
Let y(r) = 0 + r**3 + 0 + 10*r**2 + 4*r**2. Let m be y(-14). Factor 1/2*a**2 + m*a + 0.
a**2/2
Suppose 0*i - 2*i - 5*g - 69 = 0, -3*g = 4*i + 159. Let p be (6/(-9))/(8/i). Determine s so that -8*s**3 + 0 - s + 11/2*s**2 + p*s**4 = 0.
0, 2/7, 1
Let m = 17 + -12. Factor 3*q**3 + q**2 - m*q**3 - 2*q**2 + 3*q**2.
-2*q**2*(q - 1)
Let s(x) be the third derivative of -x**10/226800 - x**9/30240 - x**8/15120 - x**5/20 - 5*x**2. Let u(l) be the third derivative of s(l). What is d in u(d) = 0?
-2, -1, 0
Suppose 8/7*s**4 - 36/7*s**3 + 40/7*s**2 - 12/7*s + 0 = 0. Calculate s.
0, 1/2, 1, 3
Let w(v) = 14*v**2 - 4. Let g(s) = -s**2. Let t(x) = 10*g(x) + w(x). Factor t(p).
4*(p - 1)*(p + 1)
Let y = -46 + 185/4. Let f = -41 + 165/4. Factor 1/2 - f*z - y*z**2.
-(z - 1)*(z + 2)/4
Let b(w) be the second derivative of -w**5/200 + w**4/120 + w**3/30 + 13*w. What is h in b(h) = 0?
-1, 0, 2
Factor -9/7*c**2 - 3/7*c**4 + 3/7*c + 9/7*c**3 + 0.
-3*c*(c - 1)**3/7
Suppose -4 = -3*d + 4*p, 6*d = 4*d + 2*p + 2. Solve -4/9*l**2 + 2/9*l + d = 0.
0, 1/2
Find k such that 4*k**2 + 8 + 0*k + 10*k - 2*k**2 = 0.
-4, -1
Let l(c) = 2*c**4 - 7*c**3 - 9*c**2 - 7*c - 1. Let o = -1 + 4. Let m(u) = -3*u**4 + 13*u**3 + 17*u**2 + 13*u + 2. Let s(v) = o*m(v) + 5*l(v). Factor s(f).
(f + 1)**4
Let k(f) be the third derivative of -1/24*f**4 + 0*f + 1/210*f**7 - 2*f**2 - 1/9*f**3 + 0 + 7/360*f**6 + 1/60*f**5. Suppose k(q) = 0. Calculate q.
-1, 2/3
What is h in -5 + 1 - 4*h**2 + 11*h**4 + 6 - 9*h**4 = 0?
-1, 1
Let o(t) be the first derivative of -5*t**3/12 - 5*t**2/8 - 12. Factor o(d).
-5*d*(d + 1)/4
Let k(g) = -4*g - 7. Let b be k(-2). Let w(m) be the first derivative of 0*m + b + 2/11*m**4 + 8/33*m**3 + 1/11*m**2. Factor w(l).
2*l*(2*l + 1)**2/11
Let c be (-14)/(-3)*(-21)/7. Let h be 5/6 - 7/c. Factor 2/3*w + 2*w**2 - h.
2*(w + 1)*(3*w - 2)/3
Let v(a) be the third derivative of a**7/10080 - a**5/480 + a**4/24 - 2*a**2. Let i(z) be the second derivative of v(z). Let i(m) = 0. Calculate m.
-1, 1
Let n(j) be the third derivative of j**5/20 + 5*j**4/24 + 5*j**2. Let r(h) = -h**3 - h. Let m(b) = n(b) + 4*r(b). Factor m(x).
-x*(x - 1)*(4*x + 1)
Let x(r) be the second derivative of 8*r + 0 + 0*r**3 - 1/54*r**4 + 1/9*r**2. Factor x(p).
-2*(p - 1)*(p + 1)/9
Let u = 1/141 + 91/423. Suppose 0*a - 2/9*a**2 + u = 0. What is a?
-1, 1
Factor -28/3*y - 1/3*y**4 - 8/3*y**3 - 4 - 23/3*y**2.
-(y + 1)*(y + 2)**2*(y + 3)/3
Determine k, given that k**4 - 1/3 + k - 2/3*k**2 - 1/3*k**5 - 2/3*k**3 = 0.
-1, 1
Let z = -426 + 426. Find p such that 2/5*p**2 - 2/5*p**3 + 0*p + z = 0.
0, 1
Let a(v) = 11*v**4 + 15*v**3 + 3*v**2 - 5*v + 1. Let u(q) = -q**2 - 7*q**3 - q - 5*q**4 + 0*q + 4*q. Let l(t) = -2*a(t) - 5*u(t). Solve l(m) = 0 for m.
-1, -2/3, 1
Let l(r) = r + 8. Let g be l(-6). Solve -d - 7*d - 2*d**g + 0*d - 8 = 0.
-2
Let n be (8/(-100))/(2/(-10)). What is d in -n*d**2 + 2/5*d**4 + 2/5*d - 2/5*d**3 + 0 = 0?
-1, 0, 1
Suppose y = 5*y - 3*z - 17, -3*y = 2*z - 17. Let o(q) be the first derivative of 26/3*q**3 - 3*q**4 - 3 + 2/5*q**y - 12*q**2 + 8*q. Factor o(s).
2*(s - 2)**2*(s - 1)**2
Factor 7*j**2 + 0*j**2 - 15*j**3 + 12*j**4 - 3*j**5 - j**2.
-3*j**2*(j - 2)*(j - 1)**2
Factor 3 + 0*h**2 - 9/2*h + 3/2*h**3.
3*(h - 1)**2*(h + 2)/2
Suppose -13*s**4 + 7*s**2 + 4*s**3 + 3*s + 14*s**4 + s**3 = 0. Calculate s.
-3, -1, 0
Let z(v) be the first derivative of 1/2*v**2 - 1/30*v**5 + 0*v + 1/6*v**4 - 1/3*v**3 + 1. Let k(t) be the second derivative of z(t). Find q such that k(q) = 0.
1
Suppose -4*g + 14 = -3*v, -2*v + 5*g + 4 = 25. Determine i so that -6/13*i**4 + 0 + 16/13*i**3 - 6/13*i**v - 4/13*i = 0.
-1/3, 0, 1, 2
Factor 14*j**2 - 4*j**5 + 6*j**2 - 8*j**3 + 31*j**3 + 8*j - 11*j**3 - 4*j**4.
-4*j*(j - 2)*(j + 1)**3
Let l(b) = 4*b**5 + 7*b**4 + 4*b**3 - 5*b**2 + 5*b. Let v = 5 + -6. Let a(r) = -r**5 - r**4 - r**3 + r**2 - r. Let m(s) = v*l(s) - 5*a(s). Solve m(f) = 0 for f.
0, 1
Suppose -3*u + 15 + 15 = 0. Suppose -i + 3*k = 2*i - 21, -u = 5*k. Factor 1/3*h**i + 0 - h**3 + 2/3*h**2 + 0*h + 0*h**4.
h**2*(h - 1)**2*(h + 2)/3
Factor 4/7*h**2 + 8/7*h**3 - 10/7*h + 4/7 + 2/7*h**5 - 8/7*h**4.
2*(h - 2)*(h - 1)**3*(h + 1)/7
Factor 2*w**2 + 2*w**2 + 0*w**2 - 3*w**3 + w**3.
-2*w**2*(w - 2)
Let k(y) = -20*y**3 + 204*y**2 + 2700*y + 13476. Let t(b) = -b**3 + b**2 - 1. Let o(w) = k(w) - 24*t(w). Let o(z) = 0. Calculate z.
-15
Let t(c) = -c + 5. Let b be t(5). Let j(m) be the first derivative of m**2 + b*m - 4/3*m**3 + 2 + 1/2*m**4. Factor j(s).
2*s*(s - 1)**2
Let o(t) be the second derivative of t**6/20 + t**5/60 - t**4/8 - t**3/18 - 8*t. Factor o(w).
w*(w - 1)*(w + 1)*(9*w + 2)/6
Let o(c) = c**3 - 3*c**2 - 16*c - 11. Let x be o(6). Find w such that -x - 3*w - 5/4*w**2 = 0.
-2, -2/5
Let i be ((-11)/3 - -4)/3. Let q(h) be the second derivative of 1/36*h**4 + 0*h**2 - i*h**3 + 0 - 4*h. Find b, given that q(b) = 0.
0, 2
Suppose -t - 4*t + 11 = s, -3*t + 4 = -2*s. Let i(c) be the first derivative of -2 - c**t - 1/6*c**3 - 2*c. Suppose i(y) = 0. Calculate y.
-2
Let x(p) be the second derivative of -p**5/20 - 2*p**4/3 - 8*p**3/3 - 19*p. Solve x(b) = 0 for b.
-4, 0
Factor 0*y + 3*y**2 + 9*y + 1 - 1.
3*y*(y + 3)
Let u(l) = l + 5. Let a be u(-5). Let d(s) be the third derivative of 1/90*s**6 + 3*s**2 + 2/9*s**3 + 0*s + a - 1/630*s**7 - 1/60*s**5 - 1/18*s**4. Factor d(z).
-(z - 2)**2*(z - 1)*(z + 1)/3
Let u be (-2 - 1)/((-15)/4). Let s(l) = 3*l - 15. Let k be s(6). Factor u*b**4 - 2/5*b + 6/5*b**k + 0 + 0*b**2.
2*b*(b + 1)**2*(2*b - 1)/5
Let c(x) be the second derivative of x**4/15 - x**3/5 - 2*x**2/5 - x. Factor c(m).
2*(m - 2)*(2*m + 1)/5
Let z(g) be the second derivative of g**7/21 + g**6/15 - g**5/2 + g**4/2 + 14*g. Suppose z(f) = 0. What is f?
-3, 0, 1
Let n(i) = -24*i**3 + 74*i**2 - 106*i + 94. Let j(d) = 5*d**3 - 15*d**2 + 21*d - 19. Let r(h) = 28*j(h) + 6*n(h). Factor r(w).
-4*(w - 2)**3
Determine j so that 0*j + 12/7*j**4 + 4/7*j**5 + 0 + 4/7*j**2 + 12/7*j**3 = 0.
-1, 0
Let o be 1 - (-1)/(3/(-9)). Let m be o/(-2) + 0/(-1). Let d(f) = -4*f**2 - f + 2. Let c(t) = -t**2 - t + 1. Let x(z) = m*d(z) - 3*c(z). Factor x(k).
-(k - 1)**2
Let o = 2587/7 - 369. Let -2/7*l**3 - 2/7*l + 0 + o*l**2 = 0. Calculate l.
0, 1
Let 0 - 4/7*y**2 - 8/7*y = 0. What is y?
-2, 0
Let z = -34 - -29. Let s be (-5)/6*2/z. Factor -16/3*u**3 + 0 - s*u - 8/3*u**2.
-u*(4*u + 1)**2/3
Let b(k) be the first derivative of -16*k**3/3 + 10*k**2 - 4*k - 27. Factor b(u).
-4*(u - 1)*(4*u - 1)
Let w(m) be the second derivative of -m**4/12 + m**3 - 2*m**2 - 2*m. Let z be w(4). Factor 2*k**3 + 0*k**3 + 2*k + 0*k**3 - z*k**2.
2*k*(k - 1)**2
Let j(p) be the first derivative of 7*p**5/20 + p**4 + p**3/2 - p**2 + p - 2. Let i(c) be the first derivative of j(c). Factor i(z).
(z + 1)**2*(7*z - 2)
Find x, given that 0 - 9/10*x**3 + 1/2*x**4 + 7/10*x**2 - 1/10*x**5 - 1/5*x = 0.
0, 1, 2
Suppose 11*i + 2 - 7*i + 0 + 2*i**2 = 0. Calculate i.
-1
Let a(r) be the third derivative of r**5/100 - r**4/20 - 13*r**2. Let a(h) = 0. Calculate h.
0, 2
Let o(d) = -100*d**4 + 145*d**3 - 100*d**2 - 55. Let t(z) = -11*z**4 + 16*z**3 - 11*z**2 - 6. Let y(j) = 6*o(j) - 55*t(j). Factor y(s).
5*s**2*(s - 1)**2
Let n(a) be the third derivative of -a**7/420 - a**6/120 - a**5/120 + 5*a**2. Factor n(t).
-t**2*(t + 1)**2/2
Factor 2 + 2/3*l + 2/9*l**3 - 10/9*l**2.
2*(l - 3)**2*(l + 1)/9
Let z(h) be the second derivative of h**6/45 - h**5/15 + 2*h**3/9 - h**2/3 - 3*h. Factor z(j).
2*(j - 1)**3*(j + 1)/3
Suppose -11*r = -7*r. Let z(h) be the third derivative of 2*h**2 + r*h + 0 + 1/240*h**5 - 1/96*h**4 + 0*h**3. Factor z(d).
d*(d - 1)/4
Let w(b) be the third derivative of 0*b**3 - b**2 + 1/420*b**7 - 1/60*b**5 - 1/240*b**6 + 0 + 0*b**4 + 0*b. Suppose w(v) = 0. What is v?
-1, 0, 2
Let c(t) be the third derivative of 0*t**3 - 1/70*t**5 + 1/84*t**4 + 1/140*t**6 + 0*t + 0 - 2*t**2 - 1/735*t**7. Factor c(d).
-2*d*(d - 1)**3/7
Suppose -2*f = -3*g + 4*g - 8, 0 = -3*f - 4*g + 12. Determine o, given that 4/7*o**3 - 8/7 + 8/7*o - 10/7*o**f + 30/7*o**2 = 0.
-1, 2/5, 2
Suppose -3*d - 3*g - 3 = 0, 5*d + 30 - 26 