2, 0
Let j be (-44)/2*4/(-8). Suppose -5*m - 3*b = 0, 3*b = -3*m - b - j. Factor 2/5*k**2 + 1/5*k + 1/5*k**m + 0.
k*(k + 1)**2/5
Let c(v) be the first derivative of -5*v**5/12 + 5*v**4/12 + v**3/2 + v**2/6 - 3*v - 3. Let s(o) be the first derivative of c(o). Factor s(w).
-(w - 1)*(5*w + 1)**2/3
Let i be (-336)/(-8) - 1*2. Suppose -i = -5*r + 4*g + 5, 15 = -2*r - 5*g. Suppose 9/4*l**r + 1/4*l - 2*l**2 + 0 - 6*l**4 + 11/2*l**3 = 0. Calculate l.
0, 1/3, 1
Let n(y) be the first derivative of y**3/9 + y**2/6 + 12. Solve n(v) = 0.
-1, 0
Let k(r) = -6*r - 4. Let l be k(-1). Let y(v) be the second derivative of 1/90*v**5 + 0 + 0*v**3 + 2*v + 0*v**l + 1/27*v**4. Factor y(b).
2*b**2*(b + 2)/9
Let 32/15*p + 8/5 + 14/15*p**2 + 2/15*p**3 = 0. What is p?
-3, -2
Suppose -2*h - 2*h = 0. Suppose 0 = -3*d - h*d. Find q, given that 2/3*q**3 + d*q**4 + 0*q**2 - 1/3*q**5 - 1/3*q + 0 = 0.
-1, 0, 1
Let r(z) = 2*z**3 + 2*z**2 - 3*z. Let a be r(-3). Let p be (4/a)/(4/(-6)). Factor p + 8/9*j**2 - 10/9*j.
2*(j - 1)*(4*j - 1)/9
Let k(v) be the third derivative of v**5/12 - 5*v**4/24 - 5*v**3 - 6*v**2. Factor k(y).
5*(y - 3)*(y + 2)
Let x = 51 + -151/3. Let u(w) be the first derivative of -w**2 + 1 + 0*w + x*w**3. Factor u(k).
2*k*(k - 1)
Let k(v) be the third derivative of v**2 + 0*v**5 + 0 + 1/240*v**6 + 0*v - 1/6*v**3 - 1/16*v**4. Suppose k(w) = 0. Calculate w.
-1, 2
Let b(o) = o**2 + 1. Let t(m) = -15*m**3 + 24*m**2 - 6*m + 3. Let w(h) = 3*b(h) - t(h). Factor w(g).
3*g*(g - 1)*(5*g - 2)
Let v = -117 - -587/5. Factor 0 - 6/5*i**3 + 0*i + v*i**2.
-2*i**2*(3*i - 1)/5
Factor 0 - 2/11*a**2 + 2/11*a.
-2*a*(a - 1)/11
Let -1 + 3*u**2 - 11 - 2*u**2 - 4*u**2 - 12*u = 0. What is u?
-2
Let j(v) be the first derivative of 3 + 0*v**3 - 2*v**6 - 3/4*v**4 + 0*v**2 + 0*v - 3*v**5. Factor j(z).
-3*z**3*(z + 1)*(4*z + 1)
Suppose 1 = k - 2. Let o = -3 - -7. Determine x so that 0*x**k + o*x**2 + 0*x**2 + 6*x**3 = 0.
-2/3, 0
Let -3/4*q**5 + 3/4*q**4 + 15/4*q**3 - 3 - 6*q - 3/4*q**2 = 0. What is q?
-1, 2
Let w be (9/2)/((-1)/(-2)). Let j = -6 + w. Factor 1 - n**2 + 1/2*n**j - 1/2*n.
(n - 2)*(n - 1)*(n + 1)/2
Let u(a) be the third derivative of 1/120*a**6 + 0*a + 0*a**4 - 6*a**2 + 1/210*a**7 + 0*a**3 + 0 + 1/180*a**5 + 1/1008*a**8. Factor u(y).
y**2*(y + 1)**3/3
Suppose 5*j = -4*f + 27, -2*j + j = -f + 9. Factor 35 + 3*d**2 + 2*d - 35 - f*d.
3*d*(d - 2)
Suppose -4*d - 10 = -34. Suppose -f = 2*f - d. Factor -5 - 4*q + 2*q**2 + f*q + 1 + 4*q.
2*(q - 1)*(q + 2)
Let u(g) = -g**2 + 6*g - 4. Let l be u(5). Let n be l/(5/12)*5. Determine s so that -n*s**2 - 9*s - s**3 + 3*s**2 - 2*s**3 - 3 + 0*s**3 = 0.
-1
Let w = -54 + 274/5. Factor -w*h + 0*h**2 + 2/5 + 4/5*h**3 - 2/5*h**4.
-2*(h - 1)**3*(h + 1)/5
Suppose 4*f + f = 10. Let x(g) be the first derivative of 1/3*g**3 - g**f + 2 + 0*g. Factor x(b).
b*(b - 2)
Let g be 2*20/24*15. Let w = g - 23. Solve 0 - 2/3*v**4 - 2/3*v**w + 4/3*v**3 + 0*v = 0.
0, 1
Suppose -5*y + 87 + 2 = -3*z, y + 4*z = 4. Let m be y/(-6)*3/(-2). Factor -3*u**4 + 5*u**m - 8*u + 16*u**2 + u - u - 10*u**3.
2*u*(u - 2)**2*(u - 1)
Let g(j) be the third derivative of -1/70*j**7 + 1/8*j**4 - j**3 + 0*j + 0 - 1/40*j**6 + 3/20*j**5 - 4*j**2. Suppose g(d) = 0. What is d?
-2, -1, 1
Suppose 8*a = -3*a + 22. Let j(f) be the second derivative of 0*f**a + 0 - 1/15*f**5 - 1/45*f**6 - 1/18*f**4 + 0*f**3 - 2*f. Factor j(i).
-2*i**2*(i + 1)**2/3
Solve 86/9*y**3 + 14/9*y**5 + 8/9*y + 20/3*y**4 + 0 + 16/3*y**2 = 0.
-2, -1, -2/7, 0
Let w(x) be the first derivative of -x**5/5 - x**4/3 + 4*x - 8. Let b(s) be the first derivative of w(s). Let b(y) = 0. Calculate y.
-1, 0
Let m(x) be the second derivative of 0*x**3 - 1/42*x**7 + 0 + 0*x**4 + 2*x + 0*x**6 + 0*x**2 + 1/20*x**5. Factor m(g).
-g**3*(g - 1)*(g + 1)
Let h(u) = u**3 + 2*u**2. Let l(n) = -5*n**3 + 5*n**3 - 3*n**2 - n**3 + 0*n**3. Let v(p) = -5*h(p) - 4*l(p). What is o in v(o) = 0?
0, 2
Let t(r) be the second derivative of -r**6/720 - r**5/240 - r**3/2 - 2*r. Let v(q) be the second derivative of t(q). Find z, given that v(z) = 0.
-1, 0
Let y(r) be the second derivative of -4/21*r**4 + 0*r**2 - 9*r + 0 + 4/105*r**6 + 8/21*r**3 - 3/35*r**5 + 2/147*r**7. Suppose y(v) = 0. Calculate v.
-2, 0, 1
Suppose 0 = 4*t - 30 - 6. Let i be 12/t*(-9)/(-6). What is q in 0*q**2 + 2*q**4 - i*q**2 - q**5 + 0*q**2 + q = 0?
-1, 0, 1
Find q, given that -8/15*q**3 + 0*q**4 + 4/15*q**2 + 2/5*q + 2/15*q**5 - 4/15 = 0.
-2, -1, 1
Factor 7*b**3 - 2*b**5 - 3*b**3 + 1 - 1 - 2*b**4.
-2*b**3*(b - 1)*(b + 2)
Let l = 0 + -5. Let d be 6/9 - l/(-15). Factor d + 5*w**2 + 7/3*w + 3*w**3.
(w + 1)*(3*w + 1)**2/3
Let y = -8 + 42/5. Determine l, given that 2/5 + y*l**2 + 4/5*l = 0.
-1
Let -2*p**2 + 4*p**2 + 1 - 5*p**2 + 2*p**2 = 0. What is p?
-1, 1
Factor -74 - 36*g**2 - 95*g - 13*g + 0*g**3 - 4*g**3 - 34.
-4*(g + 3)**3
Let r(a) be the first derivative of 4/3*a + 1/2*a**4 - 4/9*a**3 - 1 - a**2. Suppose r(k) = 0. Calculate k.
-1, 2/3, 1
Let c(i) be the third derivative of -i**5/120 + i**4/24 - i**3/12 - 9*i**2. Determine y, given that c(y) = 0.
1
Let k = 6 - 6. Let w(n) be the second derivative of 0 - 1/30*n**4 - 4/75*n**6 + 0*n**3 + k*n**2 + 2*n + 1/10*n**5. Factor w(d).
-2*d**2*(d - 1)*(4*d - 1)/5
Let x(y) = 2*y**3 + 11*y**2 + 4*y - 16. Let l(n) = -n**2. Let q(o) = l(o) + x(o). Let q(p) = 0. What is p?
-4, -2, 1
Let o be 1 + 1 + -10 + 8. Let l(x) be the third derivative of 0*x**3 + x**2 + o + 1/30*x**5 + 1/6*x**4 + 0*x. Find b, given that l(b) = 0.
-2, 0
Let a be 0/2 + 2 + -3. Let p(j) = -3*j**4 - 4*j**4 + j**4 + j**3 - j**2 + 5*j**4 - 1. Let m(t) = t**4 + t**3 - t**2 - 1. Let o(i) = a*m(i) + p(i). Factor o(c).
-2*c**4
Let v(m) be the second derivative of -m**4/84 + m**3/21 - m**2/14 - 4*m. Factor v(n).
-(n - 1)**2/7
Suppose 2*w - 3*h = 1, w = -5*h - 0*h + 7. Factor 2/5*j - 2/5*j**w + 4/5.
-2*(j - 2)*(j + 1)/5
Suppose 22*d = 24*d. Factor 0*a**4 + 2/3*a**5 + 0*a + d - 2/3*a**3 + 0*a**2.
2*a**3*(a - 1)*(a + 1)/3
Solve 32/5*u + 128/5 + 2/5*u**2 = 0.
-8
Let a(h) be the third derivative of 0*h**3 + 2*h**2 - 1/36*h**4 + 1/30*h**6 + 1/60*h**5 + 0*h + 0 + 1/90*h**7. Factor a(x).
x*(x + 1)**2*(7*x - 2)/3
Let k(q) be the first derivative of q**4/4 - q**3 + q**2 + 9. Let k(m) = 0. What is m?
0, 1, 2
Let q(p) be the third derivative of -5*p**8/336 - 5*p**7/42 - p**6/3 - p**5/3 + 14*p**2. Determine c, given that q(c) = 0.
-2, -1, 0
Factor -2*c**4 + 0 + 0*c + 1/2*c**2 - 5/4*c**5 - 1/4*c**3.
-c**2*(c + 1)**2*(5*c - 2)/4
Let y = 700/247 + -48/19. Solve 2/13*v**2 + 0 + y*v = 0.
-2, 0
Let a be (2/(-252))/(108/(-81)). Let l(k) be the second derivative of 0*k**2 + 0*k**3 - a*k**7 + 1/60*k**6 + 0 - 2*k - 1/80*k**5 + 0*k**4. Factor l(f).
-f**3*(f - 1)**2/4
Determine p, given that -2/5*p**2 + 6/5*p**5 + 0*p - 6/5*p**3 + 0 + 2/5*p**4 = 0.
-1, -1/3, 0, 1
Let v be (3 - 1) + 9*(-10)/(-45). Solve 0 - 1/2*z**3 + 0*z**2 - 3/2*z**v + 0*z = 0.
-1/3, 0
Let p(m) be the third derivative of -1/210*m**7 + 1/24*m**4 + 1/30*m**5 + 1/336*m**8 + 0 + 0*m - 3*m**2 - 1/6*m**3 - 1/60*m**6. Let p(l) = 0. What is l?
-1, 1
Let 15/4*z + 5/4*z**3 + 5*z**2 + 0 = 0. Calculate z.
-3, -1, 0
Let h(q) be the first derivative of -25*q**3/21 - 10*q**2/7 - 4*q/7 - 18. Factor h(t).
-(5*t + 2)**2/7
Let w(q) = -3*q**2 + 18. Let u(l) = -3. Let j(f) = -1. Let g(x) = -7*j(x) + 2*u(x). Let m(n) = -6*g(n) + w(n). Solve m(d) = 0.
-2, 2
Let p(s) be the first derivative of s**6/15 - 3*s**5/10 + s**4/2 - s**3/3 + 3*s - 1. Let w(g) be the first derivative of p(g). Factor w(u).
2*u*(u - 1)**3
Let k be 4*(-2)/(-8)*1. Suppose 0 = -4*v + 9 - k. Suppose g**3 + 1 + 5*g + v*g**4 - 6*g - 3*g**2 + 0*g**4 = 0. What is g?
-1, 1/2, 1
Let n(r) be the second derivative of 21*r**5/40 + r**4/4 - 7*r**3/4 - 3*r**2/2 + 8*r. Factor n(x).
3*(x - 1)*(x + 1)*(7*x + 2)/2
Let a(i) be the second derivative of i**7/5040 - i**6/720 + i**5/240 + 2*i**4/3 - 5*i. Let s(k) be the third derivative of a(k). Find p such that s(p) = 0.
1
Let w(h) = -5*h**4 - 6*h**3 - h**2 + 2*h. Let r(c) = 36*c**4 + 42*c**3 + 6*c**2 - 15*c. Let p(t) = 2*r(t) + 15*w(t). Suppose p(q) = 0. What is q?
-1, 0
Suppose 0 = -3*v + 14 + 4. Let i(l) be the second derivative of -1/75*l**v + 0 + 0*l**4 + 0*l**5 + 0*l**2 + 0*l**3 + l. Factor i(n).
-2*n**4/5
Let x be (0 + 33/(-22))/((-1)/2). Factor 1 - 3/4*i**x - 4*i + 1