w**4 - w**3.
-w*(w - 1)**4
Suppose n + 5 = 2*k - 6, 4*k = 3*n + 25. What is u in 3/2*u**3 + 0*u + 3/2*u**k + 1/2*u**2 + 1/2*u**5 + 0 = 0?
-1, 0
Let o = 13 - 13. Let j(t) be the first derivative of 1/16*t**4 + 1/20*t**5 + 0*t**2 + o*t + 0*t**3 - 3. Factor j(y).
y**3*(y + 1)/4
Factor -5*z**3 - 9*z**2 - 8*z**2 + 7*z**2 + 5*z**4.
5*z**2*(z - 2)*(z + 1)
Let y(o) = -2*o**3 + 26*o**2 - 6*o - 10. Let z(b) = -b**3 + 9*b**2 - 2*b - 3. Let f(u) = 3*y(u) - 8*z(u). Factor f(a).
2*(a - 1)*(a + 1)*(a + 3)
Let a(n) be the third derivative of -n**7/105 + n**6/30 - n**5/30 + 11*n**2. Factor a(i).
-2*i**2*(i - 1)**2
Let a be (-17)/(-33) - (-6)/(-33). Let j(u) be the second derivative of 0*u**2 - 2*u - a*u**3 + 0 - 1/6*u**4. Let j(d) = 0. What is d?
-1, 0
Suppose -2*t - 13 = 4*f - 5, -f = t + 5. Let q be (4/(-14))/(t/14). Factor 2/3*h**3 + 4/3 - q*h - 4/3*h**2.
2*(h - 2)*(h - 1)*(h + 1)/3
Factor -2/19*r**2 - 50/19 - 20/19*r.
-2*(r + 5)**2/19
Suppose 5 = q + 5*o, 0 = -3*q - q + o + 20. Let d(u) be the second derivative of -1/14*u**4 - u - 1/70*u**q - 1/7*u**3 - 1/7*u**2 + 0. Factor d(x).
-2*(x + 1)**3/7
Suppose 5*p**2 - 3*p**2 - p**3 + p**5 - 2*p**2 = 0. What is p?
-1, 0, 1
Let c(n) be the first derivative of n**6/2 + 18*n**5/5 + 21*n**4/2 + 16*n**3 + 27*n**2/2 + 6*n - 4. Factor c(b).
3*(b + 1)**4*(b + 2)
Let n(b) = 6*b**2 - 10*b - 2. Let c be (-3)/((-6)/(-4)) + 5. Let j(s) = 6*s**2 - 10*s - 1. Let y(d) = c*n(d) - 2*j(d). Factor y(h).
2*(h - 2)*(3*h + 1)
Factor -1/5*r**2 - 2/5 - 3/5*r.
-(r + 1)*(r + 2)/5
Let j be (1 - (2 + -3)) + 0. Let w(r) be the first derivative of -27/20*r**5 + 0*r**3 + 3/8*r**4 + 0*r + 0*r**j + 7/8*r**6 + 3. Factor w(d).
3*d**3*(d - 1)*(7*d - 2)/4
Let r be (-68)/28 + (-6)/(-2). Find i such that 2/7*i**2 - r*i + 0 = 0.
0, 2
Let p(l) = l**2 - 2*l - 1. Let b be p(-1). Let g be -1 + (-39)/(-12) - b. Determine x, given that 0 + 0*x - 1/4*x**3 + g*x**2 = 0.
0, 1
Let g(z) be the third derivative of -z**8/168 + z**7/105 + z**6/30 - z**5/15 - z**4/12 + z**3/3 + 15*z**2. Factor g(y).
-2*(y - 1)**3*(y + 1)**2
Let h = 10 - -3. Factor 31*a**2 + 2*a**3 - h*a**2 - 22*a**2.
2*a**2*(a - 2)
Suppose -32*h - 3 = -33*h. Let l(a) be the third derivative of -1/240*a**6 - h*a**2 + 0*a + 1/48*a**4 - 1/12*a**3 + 0 + 1/120*a**5. Factor l(g).
-(g - 1)**2*(g + 1)/2
Let s be (0 + -2)*(-15)/(-6). Let c(w) = w**3 + 6*w**2 + 5*w + 2. Let k be c(s). Factor -2*x**2 - 3*x**2 + 3*x**k.
-2*x**2
Let z(v) be the first derivative of -v**7/42 + v**6/5 - 13*v**5/20 + v**4 - 2*v**3/3 + 3*v + 4. Let o(y) be the first derivative of z(y). Factor o(n).
-n*(n - 2)**2*(n - 1)**2
Let g(h) = h - 1. Let m be g(0). Let t be m + 5 + -3 + 1. Suppose 2/3*w**4 + 0*w - 4/3*w**t + 0*w**3 + 2/3 = 0. What is w?
-1, 1
Let j(x) be the third derivative of -x**5/60 - x**4/8 + 12*x**2. Factor j(h).
-h*(h + 3)
Suppose -48*i**2 - 46/5*i**3 - 2/5*i**4 + 0 + 288/5*i = 0. What is i?
-12, 0, 1
Factor 0*p + 3/5*p**4 - 3/5*p**5 + 6/5*p**3 + 0 + 0*p**2.
-3*p**3*(p - 2)*(p + 1)/5
Suppose -5*j = -11*j + 18. Factor 0 + 0*x + 0*x**2 + 0*x**j - 2/3*x**4.
-2*x**4/3
Let u(j) be the third derivative of -j**8/1176 + j**7/735 + j**6/420 - j**5/210 + 2*j**2. Let u(a) = 0. Calculate a.
-1, 0, 1
Let r be (54/(-405))/((-19)/(-10) + -2). Factor 0*z + r*z**4 + 0 + 2/3*z**3 - 2*z**5 + 0*z**2.
-2*z**3*(z - 1)*(3*z + 1)/3
Suppose -5*b + 3*z = 0, 3*b - 2*z = 4*b. Factor -12/7*g**4 + b + 8/7*g + 2/7*g**5 + 26/7*g**3 - 24/7*g**2.
2*g*(g - 2)**2*(g - 1)**2/7
Factor 0*j**2 + 0*j + 0 + 2/3*j**3 + 0*j**4 - 2/3*j**5.
-2*j**3*(j - 1)*(j + 1)/3
Let x be (-25)/10*1*-4. Determine u, given that u**4 - u**4 - 12*u**3 - 2*u**4 - x*u**2 - 8 - 16*u**2 - 24*u = 0.
-2, -1
Let n(w) be the second derivative of -w**6/540 + w**3/6 + 2*w. Let z(i) be the second derivative of n(i). Determine m so that z(m) = 0.
0
Let x(w) be the third derivative of w**7/1260 + w**6/720 - 11*w**2. Solve x(s) = 0 for s.
-1, 0
Let p(u) be the second derivative of -u**4/4 - 2*u**3 - 6*u**2 - 3*u. Factor p(n).
-3*(n + 2)**2
Let k(o) be the third derivative of o**6/120 + o**5/15 + o**4/8 - 2*o**2. Let l be k(-2). Factor 0*w**3 + 2/5*w**l + 0*w - 6/5*w**4 + 0 - 4/5*w**5.
-2*w**2*(w + 1)**2*(2*w - 1)/5
Suppose -20 = 4*n + 4*f, 5*f + 21 = -4*n - 4. Factor n*z - 1/2*z**2 + 0.
-z**2/2
Let x(v) be the first derivative of 5*v**4/4 + 5*v**3/3 - 5*v**2 + 8. Suppose x(l) = 0. What is l?
-2, 0, 1
Let o(w) = w - 1. Let x be o(5). Suppose 3*f + 22 = 5*m, -x*m + 0*f = 2*f. Let 18*g**5 + g**2 - 4*g**m + 18*g**5 + 39*g**4 = 0. What is g?
-1, -1/3, 0, 1/4
Factor -3/2*f**2 - 9/4*f**3 + 0 + 3/4*f.
-3*f*(f + 1)*(3*f - 1)/4
Let m(t) be the first derivative of -3*t**3 + 3/2*t**2 - 3/5*t**5 + 9/4*t**4 + 0*t + 4. Factor m(u).
-3*u*(u - 1)**3
Let t = 5/4 - 3/4. Let s be 16/6 + 3/9. Factor 0*h + 0*h**2 - t*h**s + 0.
-h**3/2
Let j(v) be the first derivative of v**4/48 + v**3/24 - v + 4. Let m(a) be the first derivative of j(a). Find q such that m(q) = 0.
-1, 0
Let v = 2 - -10. Suppose 9*m + 9 = v*m. Factor 11 - 8*x**m - 2*x**5 + 8*x**4 - 11.
-2*x**3*(x - 2)**2
Find s, given that 3/7*s**2 + 6/7*s + 3/7 = 0.
-1
Let s be 14*1/(-3)*-3. Let c be 214/63 - 4/s. Solve 0 + 2/3*g**3 + c*g**4 - 2*g**2 + 4/9*g = 0 for g.
-1, 0, 2/7, 1/2
Factor -196/5*p + 0 - 1/5*p**3 - 28/5*p**2.
-p*(p + 14)**2/5
Let s be (-5 - -8)*(0 + 1). Let b be 4/(-6) + 11/s. Factor -11*l**3 + l + 3*l**b + 8*l**2 - 6*l + 3*l.
-2*l*(2*l - 1)**2
Let s(b) be the third derivative of -b**6/1380 + b**4/276 - 25*b**2. Factor s(n).
-2*n*(n - 1)*(n + 1)/23
Let u(v) be the second derivative of 1/120*v**6 + 0 + 2*v + 1/40*v**5 + 1/2*v**2 - 1/16*v**4 - 1/6*v**3. Solve u(l) = 0.
-2, 1
Let h = 19 - 22. Let c be (-44)/16 - h*1. Factor 0 + 0*d**2 + 0*d + c*d**3 + 1/4*d**4.
d**3*(d + 1)/4
Let -3/4*t**2 - 1/2*t - 1/4*t**3 + 0 = 0. Calculate t.
-2, -1, 0
Let w be -3 + 4/(4/7). Let l(v) be the first derivative of -2*v**2 - 4*v - 1 + 5*v**3 + 4/5*v**5 + w*v**4. Determine r, given that l(r) = 0.
-2, -1/2, 1/2
Let w(n) = 4*n**2 + 4*n. Let p(d) be the third derivative of d**5/15 + d**4/6 - 2*d**2. Let t(a) = -3*p(a) + 2*w(a). Suppose t(j) = 0. Calculate j.
-1, 0
Let b be 4/2 + -4 + 4. Find p, given that 0*p - 6*p + b*p**2 + 8*p = 0.
-1, 0
Let g = -1184/5 + 238. Determine c, given that 0 + 2/5*c**4 - 6/5*c**3 - 2/5*c + g*c**2 = 0.
0, 1
Suppose 15 = 5*p - 0*p. Suppose -4*f - 5 - p = -4*k, -4*k - f = 2. Suppose 0*z + k*z**2 + 0 + 1/2*z**3 = 0. What is z?
0
Let x = -73 - -75. Factor -5/6*c**x + 1/6 + 2/3*c.
-(c - 1)*(5*c + 1)/6
Let p be (42/(-49))/(5/(-28)). Solve -12/5 - 3/5*g**3 - p*g - 3*g**2 = 0.
-2, -1
Let h(v) be the third derivative of -v**8/43680 + v**6/1560 + v**5/390 - 3*v**4/8 + 7*v**2. Let n(p) be the second derivative of h(p). Factor n(s).
-2*(s - 2)*(s + 1)**2/13
Let y(c) = 6*c**5 - 3*c**4 - 2*c**3 + c**2 + 6*c + 2. Let d(r) = -r**5 + r**4 - r**2 - r. Let w(v) = -5*d(v) - y(v). Solve w(t) = 0.
-2, -1, 1
Let x(q) = -q**2 - 10*q - 22. Let v be x(-4). What is r in 2/3*r**4 - 1/3*r**5 + 1/3*r**3 + 0 + 0*r - 2/3*r**v = 0?
-1, 0, 1, 2
Suppose -2*b + 20 = 2*b + 4*h, -19 = -2*b - 5*h. Let 1/4*k + 3/4*k**3 - 3/4*k**b + 0 - 1/4*k**4 = 0. What is k?
0, 1
Suppose -2*b + 16*b - 9*b + 5*b**2 = 0. Calculate b.
-1, 0
Let r(j) be the third derivative of -j**8/168 - 2*j**7/105 - j**6/60 + 2*j**2. Find a such that r(a) = 0.
-1, 0
Let q(h) be the third derivative of -h**8/2352 - h**7/1470 + h**6/280 + h**5/420 - h**4/84 + 8*h**2. Determine b so that q(b) = 0.
-2, -1, 0, 1
Let w(t) be the second derivative of t**6/40 - 7*t**5/80 + 5*t**4/48 - t**3/24 - 5*t. Solve w(g) = 0 for g.
0, 1/3, 1
Let s(p) be the third derivative of -p**7/1440 + 19*p**6/2880 + p**5/80 - 5*p**4/24 + 2*p**2. Let x(o) be the second derivative of s(o). Solve x(a) = 0 for a.
-2/7, 3
Factor 1/5*v**3 + 0 + 0*v + 1/5*v**4 - 1/5*v**2 - 1/5*v**5.
-v**2*(v - 1)**2*(v + 1)/5
Solve 8 - 2*w - 163*w**2 + 165*w**2 - 6*w = 0 for w.
2
What is f in 6/5*f**2 - 1/5*f**3 + 0 - 9/5*f = 0?
0, 3
Let o be 0/2*9/18. Let q(b) be the third derivative of 0 + 1/180*b**6 + o*b + 1/36*b**4 - 1/45*b**5 + 0*b**3 + b**2. Solve q(g) = 0 for g.
0, 1
Suppose -4/3 + 4/9*n**4 + 8/9*n**2 + 16/9*n - 16/9*n**3 = 0. What is n?
-1, 1, 3
Let l(g) be the second derivative of 0*g**2 + 0*g**5 + 1/90*g**6 - 1/36*g**4 - 1/36*g**3 + 1/252*g**7 + 0 - 5*g. F