 + m*o**2 + 0*o.
o**2/3
Suppose -3*r - k - 4*k - 11 = 0, 4*r + k - 8 = 0. Suppose -14 = -3*u + u. Factor -u*n**2 + r*n**3 + 7*n**2.
3*n**3
Let b = -40 - -40. Let 2/3*a + 2/3*a**2 + b = 0. What is a?
-1, 0
Let n be (1 - 6 - -6)/(2/6). Let -54/7 + 54/7*v + 2/7*v**n - 18/7*v**2 = 0. What is v?
3
Suppose -4*q = 3*i + 7, -i = -2*q + i + 14. Let s be ((-3)/18)/(1/(-14)). Factor s*w**q + 0 - 5/3*w**3 - 4/3*w**4 + 2/3*w.
-w*(w - 1)*(w + 2)*(4*w + 1)/3
Let x be (21/(-4))/((-12)/(-32)). Let r = x + 16. Find i such that 2/11*i**5 + 0 + 12/11*i**3 + 2/11*i + 8/11*i**r + 8/11*i**4 = 0.
-1, 0
Suppose 3*j - 3*j = -2*j. Let u(z) be the first derivative of -2/45*z**5 + 1/18*z**4 - 1/9*z**2 - 2 + j*z + 2/27*z**3. Let u(w) = 0. What is w?
-1, 0, 1
Let u(k) be the third derivative of k**6/180 - k**5/45 - k**4/36 + 2*k**3/9 - 6*k**2. Solve u(j) = 0.
-1, 1, 2
Let y = -34 - -37. Let k = -13 + 17. Find h such that 14/5*h - 18/5*h**k - 14/5*h**y + 22/5*h**2 - 4/5 = 0.
-1, 2/9, 1
Let r(o) = 2*o**2 + 7*o - 4. Let c be r(-4). Find i such that 1/4*i**3 + c*i + 1 - 3/4*i**2 = 0.
-1, 2
Factor 0 + 5/2*u**2 + 3/2*u**3 + u - 1/2*u**4 - 1/2*u**5.
-u*(u - 2)*(u + 1)**3/2
Suppose -3*k - 5*y - 4 + 32 = 0, 4*k - 4*y = 16. Let j be ((-6)/(-4))/(3/k). Suppose 0 + 1/2*l**j + l**2 + 1/2*l = 0. What is l?
-1, 0
Let g(u) = 15*u**2 + 81*u + 39. Suppose -a - 30 = -9. Let b(m) = -3*m**2 - 16*m - 8. Let j(v) = a*b(v) - 4*g(v). Let j(n) = 0. Calculate n.
-2
Let q(w) be the second derivative of -2*w**5 - 15*w**4/4 - 5*w**3/6 + 51*w. Factor q(t).
-5*t*(t + 1)*(8*t + 1)
Factor -6*s - 8*s - 12 - 5*s**3 + 17*s**3 - 43*s - 33*s**2.
3*(s - 4)*(s + 1)*(4*s + 1)
Let y be (2 - (-6)/(-2)) + -83. Let g be -3 + (y/8)/(-3). Determine s so that -s - g*s**2 - 1/2 = 0.
-1
Suppose 0 = -3*x + 3, 2*g + 0*x = -3*x + 9. Solve 27*s**2 + 14*s**3 + 7*s**g + 8*s - 2*s = 0.
-1, -2/7, 0
Let u(h) = 2*h**2 + 2. Let o be u(0). Determine z, given that 0*z + 0 - 2/9*z**o - 4/9*z**3 - 2/9*z**4 = 0.
-1, 0
Let i(m) be the first derivative of -m**7/4200 + m**6/600 - m**4/30 + 2*m**3/3 - 5. Let z(h) be the third derivative of i(h). Determine r, given that z(r) = 0.
-1, 2
Let d(c) be the third derivative of 0*c**4 - 1/120*c**5 + 1/672*c**8 - 1/240*c**6 + 0 + 1/420*c**7 + 0*c + 0*c**3 + c**2. Factor d(a).
a**2*(a - 1)*(a + 1)**2/2
Factor -6/7*v - 3/7*v**2 - 3/7.
-3*(v + 1)**2/7
Let p be 3 - (2 - (-2 + 4)). Solve -18*q + 4*q**p + 4*q**4 + 0*q - 12*q**2 - 8 - 2*q = 0 for q.
-1, 2
Let d = 103/22 + -2971/66. Let p = -39 - d. Let -p*t - 2/3*t**2 + 0 = 0. Calculate t.
-2, 0
Let -1/3 + 7/3*x - 16/3*x**3 - 8/3*x**2 = 0. What is x?
-1, 1/4
Let z(v) be the first derivative of v**3/4 - 3*v**2/8 - 3*v/2 + 16. What is x in z(x) = 0?
-1, 2
Suppose 0 = -2*g - 5*r - 11, -1 + 16 = -5*r. Suppose -3*t - 13 = -g*s, 0*t - 16 = -2*s + 4*t. Determine a so that -a - 1/3*a**s - 2/3 = 0.
-2, -1
Let v(p) be the third derivative of 7*p**5/20 + 3*p**4/2 - 2*p**3 + 23*p**2. Determine m, given that v(m) = 0.
-2, 2/7
Let r be (1/3)/((-2)/(-12)). Let t be (1/(-3))/((-3)/18). Factor 2*p**3 + p**4 + p**3 - p**r - p - t*p**3.
p*(p - 1)*(p + 1)**2
Let y(a) be the first derivative of -a**5/5 - a**4/4 + a**3 + a**2/2 - 2*a - 32. Determine x, given that y(x) = 0.
-2, -1, 1
Let u be 239/(-120) - (-6 + 4). Let k(q) be the third derivative of -1/6*q**3 - 1/20*q**5 + u*q**6 + 1/8*q**4 + 0 + 2*q**2 + 0*q. Factor k(t).
(t - 1)**3
Let y(g) be the first derivative of 4*g**6/3 - 34*g**5/5 + 14*g**4 - 44*g**3/3 + 8*g**2 - 2*g + 3. Factor y(a).
2*(a - 1)**4*(4*a - 1)
Let t(h) = -15*h + 345. Let p be t(23). Factor 0 + 1/5*a**5 + p*a**4 - 1/5*a**3 + 0*a**2 + 0*a.
a**3*(a - 1)*(a + 1)/5
Let r(o) be the third derivative of -o**5/360 + o**4/144 + o**3/18 - 5*o**2. Factor r(v).
-(v - 2)*(v + 1)/6
Let f(n) be the third derivative of -n**6/60 + n**5/5 - 3*n**4/4 + 4*n**3/3 + 16*n**2 + n. Factor f(t).
-2*(t - 4)*(t - 1)**2
Let j(g) be the first derivative of -1 + 0*g + 0*g**2 - 1/6*g**4 + 0*g**3 + 2/15*g**5. Factor j(s).
2*s**3*(s - 1)/3
Let j(u) be the first derivative of -u**5 - 5*u**4 - 10*u**3/3 + 10*u**2 + 15*u + 10. Factor j(w).
-5*(w - 1)*(w + 1)**2*(w + 3)
Let y = -402 - -3644/9. Let f = y + -95/36. Factor -1/4 + f*b + 3/4*b**3 + 5/4*b**2.
(b + 1)**2*(3*b - 1)/4
Let o(s) be the second derivative of -s**4/3 - 2*s**3/9 - 2*s. Let o(p) = 0. Calculate p.
-1/3, 0
Let d(f) = -f**4 + 3*f**3 + f**2 - 3*f. Let w(x) = 4*x**4 - 10*x**3 - 4*x**2 + 10*x. Let h(b) = -7*d(b) - 2*w(b). Factor h(m).
-m*(m - 1)*(m + 1)**2
Let s = -1 + 9. Suppose 26/3*j**3 + j**5 + 2/3 + 11/3*j + 14/3*j**4 + s*j**2 = 0. Calculate j.
-1, -2/3
Let p(t) be the third derivative of -t**5/60 - t**4/8 - t**3/3 - 5*t**2. Factor p(l).
-(l + 1)*(l + 2)
Let a(v) be the first derivative of 3/10*v**5 - 8 + 3*v**2 + 3/2*v + 3*v**3 + 3/2*v**4. Factor a(n).
3*(n + 1)**4/2
Let d = -3 + 7. Suppose 0 = d*o - 3*o. Factor o*v**4 + v**4 + 7*v**2 - 2*v**3 - 6*v**2 + 0*v**4.
v**2*(v - 1)**2
Suppose 5*w + 4*d = 3, -4 = 3*d + 5. Let r be ((-2)/(-2))/(-5 - -6). Factor -q + r - 2 - q**2 + w.
-(q - 1)*(q + 2)
Let f be 9/15 + 28/(-55). Let j = 9/22 + f. Factor 0*g + 1/2 - j*g**2.
-(g - 1)*(g + 1)/2
Let c = 6 + -4. Factor -3*a**5 + 4*a**5 + 3*a**4 - c*a**3 - 5*a**4 + 3*a**3.
a**3*(a - 1)**2
Let z(l) be the second derivative of l**7/105 + l**6/60 - l**5/30 - l**4/12 - l**2/2 + l. Let t(u) be the first derivative of z(u). Factor t(c).
2*c*(c - 1)*(c + 1)**2
Let w(b) = -21*b**2. Let s(v) = -6*v**2. Let z(k) = -18*s(k) + 5*w(k). What is l in z(l) = 0?
0
Let k(j) = -5*j**3 + j**5 + 3*j**3 + 3*j**3. Let w(u) = -3*u**5 - 2*u**4 - 4*u**3 + 2*u**2 - u. Let i(h) = -12*k(h) - 3*w(h). Factor i(n).
-3*n*(n - 1)**3*(n + 1)
Let z be ((-4)/12)/((-2)/30). Suppose 4*w**z - 2*w**5 - w - 2*w**3 + w = 0. What is w?
-1, 0, 1
Let b(y) = y**5 - 36*y**4 + 90*y**3 + 22*y**2 - 3. Let p(v) = v**5 - v**4 + v**2 + 1. Let g(t) = -b(t) - 3*p(t). Let g(u) = 0. Calculate u.
-1/4, 0, 5
Let k be (7/(-14))/(1/(-6)). Suppose 3*j + 5*b - 32 = 0, 28 = 3*j - 0*j + 4*b. Factor 2*c**5 + 4*c**j - 18*c**3 + 18*c**k - 2*c - 4*c**2.
2*c*(c - 1)*(c + 1)**3
Let t(v) be the third derivative of v**7/490 - v**6/280 - v**5/35 + v**4/14 - 9*v**2. Factor t(z).
3*z*(z - 2)*(z - 1)*(z + 2)/7
Let x(j) = -j**2 + 6*j + 7. Let w be x(7). Let -1/2*p**2 + p**3 + w - 1/2*p = 0. Calculate p.
-1/2, 0, 1
Suppose -5*y - 13*v = -11*v - 18, 2*v = 3*y - 14. Let 2*b**3 + 4/3 - 2/3*b**y - 2*b - 2/3*b**2 = 0. What is b?
-1, 1, 2
Suppose -4*k + 5*k - 6 = q, 0 = -4*q - 12. Factor 4/3*d**2 - 2/9*d**k - 8/3*d + 16/9.
-2*(d - 2)**3/9
Let -6/7*t**2 + 3/7 + 8/7*t**3 + 3/7*t**4 - 8/7*t = 0. Calculate t.
-3, -1, 1/3, 1
Let c(p) be the second derivative of 0*p**2 - 1/9*p**4 + 0 + 7*p - 1/18*p**3. Factor c(n).
-n*(4*n + 1)/3
Suppose -h - 2*r - 6 = 0, h + 0*r - 6 = r. Factor 2/3*x**3 - 2*x**h + 2*x - 2/3.
2*(x - 1)**3/3
Let g(n) be the second derivative of -1/48*n**4 - 1/40*n**6 + 0*n**2 + 0 + 5*n - 3/80*n**5 - 1/168*n**7 + 0*n**3. Factor g(h).
-h**2*(h + 1)**3/4
Let z(b) be the first derivative of -6/5*b**5 - b**3 - 9/4*b**4 - 8 + 0*b**2 + 0*b. What is o in z(o) = 0?
-1, -1/2, 0
Let p(j) be the second derivative of j**7/70 + 7*j**6/120 + j**5/180 - j**4/8 + j**3/9 + 2*j**2 + 4*j. Let b(f) be the first derivative of p(f). Factor b(n).
(n + 1)*(n + 2)*(3*n - 1)**2/3
Let k(s) be the first derivative of -s**3/4 - 27*s**2/2 - 243*s - 12. Factor k(q).
-3*(q + 18)**2/4
Let g(k) = -k - 1. Let n be g(-1). Let o be (n + (-2)/1)*-1. Suppose 0 + 1/3*d**3 + 0*d**o + 0*d - 2/3*d**5 - 1/3*d**4 = 0. What is d?
-1, 0, 1/2
Let c(g) be the first derivative of g**6/2 + 6*g**5/5 - 3*g**4/4 - 2*g**3 + 1. Factor c(b).
3*b**2*(b - 1)*(b + 1)*(b + 2)
Let h(r) = 2*r - 4. Let l be h(3). Suppose -15*f - 13*f + 5*f = 0. Solve f + 2*d**4 - 2*d**l + 14/5*d**5 + 4/5*d - 18/5*d**3 = 0 for d.
-1, 0, 2/7, 1
Suppose 4*x - 90 = -2*q, 0*x + 4*q = -x + 33. Let t = -21 + x. Factor 2/7*v**2 + t + 0*v.
2*v**2/7
Let w be 2/(-4)*(-2 + 2). Let v(s) be the third derivative of 0*s - s**2 - 1/30*s**5 + 1/30*s**4 + w*s**3 + 0. Factor v(g).
-2*g*(5*g - 2)/5
Let l(a) be the third derivative of -a**8/1680 - a**3/3 - a**2. Let d(w) be the first derivative of l(w). Factor d(k).
-k**4
Factor 3/5*m + 3/5*m**2 + 0.
3*m*(m + 1)/5
Factor 47*s**3 - 2*s**4 - 7 - 14*s - 57*s**3 + 3 - 18*