*3 - 5*m**3 + w*m**2 - 2*m.
-2*m*(m - 1)**2
Suppose 2*z + 3*z = 10. Let y = -115 - -116. Factor 1/4*k**z + k + y.
(k + 2)**2/4
Let w(t) be the first derivative of t**4 + 8*t**3/3 + 2*t**2 - 6. Factor w(g).
4*g*(g + 1)**2
Let f be (-1)/(-2) - (-6 - 1)/7. Factor -w**3 + f*w**2 - 1 + 3/2*w.
-(w - 2)*(w + 1)*(2*w - 1)/2
Solve -64/5*t**3 - 44/5*t**2 - 8/5*t - 28/5*t**4 + 0 = 0 for t.
-1, -2/7, 0
Let v(k) be the second derivative of k**6/255 + 7*k**5/170 + 5*k**4/34 + 3*k**3/17 - k - 2. Factor v(f).
2*f*(f + 1)*(f + 3)**2/17
Let o(k) be the first derivative of k**5/5 + k**4/2 - k**2 - k - 7. Factor o(f).
(f - 1)*(f + 1)**3
Suppose -2 - 4 = -3*c. Suppose -12*h**3 - 18*h**2 - c*h**4 - h**4 + 2 - 5 - 12*h = 0. What is h?
-1
Let y(h) be the third derivative of -h**7/105 + h**6/20 + h**5/2 + 17*h**4/12 + 2*h**3 - 26*h**2. Factor y(v).
-2*(v - 6)*(v + 1)**3
Suppose -4*k - 2*j + 3*j = 17, 3 = -2*k - 5*j. Let u(r) = r + 1. Let z(h) = -2*h**2 + 16*h - 14. Let v(a) = k*u(a) + z(a). Factor v(g).
-2*(g - 3)**2
Let m be ((-6)/(-7*6))/(-1)*-8. Find u, given that 8/7*u + 2/7*u**3 - m*u**2 + 0 = 0.
0, 2
Let q(w) be the second derivative of 1/3*w**3 + 2*w + 0 - 1/12*w**4 - 1/2*w**2. Factor q(v).
-(v - 1)**2
What is g in 3*g**2 + 4 - 3 - 2*g**2 - 2*g**2 = 0?
-1, 1
Let l(g) be the second derivative of -g + 0 + 1/7*g**3 + 3/14*g**2 + 1/28*g**4. Factor l(v).
3*(v + 1)**2/7
Solve 31*u + 4*u**3 - 11*u - 4 + 12*u**2 - 35*u**2 + 3*u**3 = 0 for u.
2/7, 1, 2
Let k(v) be the second derivative of 4*v - 1/16*v**4 - 11/24*v**3 - 3/4*v**2 + 0. Factor k(m).
-(m + 3)*(3*m + 2)/4
Let m(w) = -w**3 - 4*w**2 - 5*w - 4. Let n be m(-3). Factor -i + 2*i + i**3 + 2*i**n + 0*i**2.
i*(i + 1)**2
Factor -3/4*h**2 + 0 + 9/4*h.
-3*h*(h - 3)/4
Suppose -l - 2 = -4. Suppose 4*t - l = 3*t. Determine h so that 2/3*h**5 + 4/3*h**2 + 2/3 - 2*h - t*h**4 + 4/3*h**3 = 0.
-1, 1
Let c be 2/(-10*28/(-105)). Let 1/4*q**4 + 1/2*q + 0 + 0*q**3 - c*q**2 = 0. What is q?
-2, 0, 1
Let l(a) = -a + 1. Let o be l(0). Factor y**3 + 0*y**2 + y**2 + y**2 + 3*y - 3*y**3 - y**5 + o - 3*y**4.
-(y - 1)*(y + 1)**4
Suppose 0 = -f - 2*f + 3. Let c(z) be the first derivative of -1/2*z**4 - 8*z - f - 8*z**2 - 10/3*z**3. Factor c(t).
-2*(t + 1)*(t + 2)**2
Let n be 58/7 + 12/(-42). Suppose 7*j - n = 3*j. Find f, given that 2*f + 0*f + 2*f**j - f**2 + f**2 = 0.
-1, 0
Let n(m) be the third derivative of m**8/1176 - m**6/210 + m**4/84 - m**2 - 3. Factor n(a).
2*a*(a - 1)**2*(a + 1)**2/7
Let g(p) = -p**5 + p**3 + p**2 - p. Let s(v) = -14*v**5 - 21*v**4 - 2*v**3 + 22*v**2 + 11*v + 4. Let c(t) = 5*g(t) - s(t). Find a such that c(a) = 0.
-1, -2/3, 1
Determine n so that 4*n + 17/2*n**4 - 3/2*n**5 + 6*n**2 + 0 - 15*n**3 = 0.
-1/3, 0, 2
Let f be 2/(-10) - 88/10. Let k = 12 + f. Determine r so that 4*r**3 + 2*r**2 - k - 4*r**2 + 3 = 0.
0, 1/2
Let z be (6/9 + 1)*-3. Let y = 9 + z. Find x such that 2 - 3*x + 3*x - 5*x**5 - 22*x**3 - 11*x**y - 7*x**4 + 3*x - 8*x**2 = 0.
-1, 2/5
Suppose 4*c + 2/3*c**2 - 1/3*c**4 - c**3 + 8/3 = 0. Calculate c.
-2, -1, 2
What is b in 6/13*b - 4/13 - 2/13*b**2 = 0?
1, 2
Let k(w) be the first derivative of -2*w + 0*w**2 + 2/3*w**3 + 2. Suppose k(r) = 0. What is r?
-1, 1
Let a = 278 + -4162/15. Determine l, given that a*l**4 + 4/5*l**3 + 8/15*l**2 + 2/15*l**5 + 0 + 2/15*l = 0.
-1, 0
Let m(h) be the third derivative of 0*h + 0*h**3 + 3/20*h**5 - 1/12*h**4 - 4*h**2 + 0 - 7/120*h**6. What is q in m(q) = 0?
0, 2/7, 1
Factor -3*n**2 - 6*n + n + 11*n + 15 - 6*n**2.
-3*(n + 1)*(3*n - 5)
Let o be (-390)/(-33) - 2/(-11). Let 8*u**2 + 48*u - 18 - 28*u**2 - o*u**2 = 0. What is u?
3/4
Let i be 969/(-35) - 10/(-35). Let s = i - -31. Factor 4/5*d + s*d**2 + 8/5*d**3 + 0.
2*d*(d + 2)*(4*d + 1)/5
Let x = 227 - 2495/11. Factor 26/11*z**3 + x*z**5 - 12/11*z**4 + 8/11*z - 24/11*z**2 + 0.
2*z*(z - 2)**2*(z - 1)**2/11
Factor -8*h**2 - 6*h**2 + 13*h**2 + 12 - 4*h.
-(h - 2)*(h + 6)
Let p be (23/(-6) - -4)/(2/18). Suppose -1/2*h**3 - 2 + 0*h + p*h**2 = 0. What is h?
-1, 2
Suppose -3*d = -2*d - 8. Find b, given that -d*b - 2*b + 2*b**2 + 12*b = 0.
-1, 0
What is g in 0*g + 4/3 - 1/3*g**2 = 0?
-2, 2
Let w(j) be the third derivative of j**7/1680 - j**4/6 - 9*j**2. Let p(g) be the second derivative of w(g). Factor p(q).
3*q**2/2
Let 4/5*j**3 + 0*j + 2/5*j**4 + 0 + 0*j**2 = 0. What is j?
-2, 0
Suppose -d + 1 = 3*z - 6*d, 0 = -5*z - 5*d + 15. Suppose 0*h + 5 = -b - 5*h, z*b + 5 = -5*h. Determine v, given that 0 + 1/5*v**3 + 1/5*v**2 + b*v = 0.
-1, 0
Suppose -24*u = -25*u - 21. Let a be 72/315 - 12/u. Determine t so that 32/5*t + a + 49/5*t**3 + 77/5*t**2 = 0.
-1, -2/7
Let u(s) be the first derivative of -1/36*s**4 + 1/360*s**6 + 0*s - 2 + 1/180*s**5 + 0*s**3 - s**2. Let a(o) be the second derivative of u(o). Factor a(d).
d*(d - 1)*(d + 2)/3
Let t(x) be the second derivative of 5*x**7/42 - 3*x**6/5 + 6*x**5/5 - 7*x**4/6 + x**3/2 - 13*x. Solve t(n) = 0 for n.
0, 3/5, 1
Let q(a) be the third derivative of -a**8/448 + 3*a**7/280 - a**6/80 - a**5/40 + 3*a**4/32 - a**3/8 - 8*a**2. Factor q(t).
-3*(t - 1)**4*(t + 1)/4
Let s be ((-14)/4)/(-7)*0 + 2. What is m in 2/11*m**s + 0*m - 2/11 = 0?
-1, 1
Suppose 9 = 5*l - 1. Suppose -8/3*w**3 + 8/3*w**4 + 8/3*w - 2/3 - 2*w**l = 0. Calculate w.
-1, 1/2, 1
Let s be (8/20*2)/2. Factor -4/5 + 2/5*v + s*v**2.
2*(v - 1)*(v + 2)/5
Let l = -2 - -5. Solve 0*d + d - 4*d**3 + l*d**3 = 0.
-1, 0, 1
Suppose 0 - 1/2*d + 1/2*d**2 = 0. Calculate d.
0, 1
Suppose -4*k = -5*k + 4. Find g such that -7/4*g**k + 0 + 0*g - 1/2*g**2 + 9/4*g**3 = 0.
0, 2/7, 1
Let f(i) = 4*i**4 - 32*i**3 - 16*i**2 + 32*i - 28. Let x(b) = -b**3 - b**2 + b - 1. Let k(h) = f(h) - 20*x(h). Factor k(m).
4*(m - 2)*(m - 1)**2*(m + 1)
Let q(x) be the second derivative of -x**6/270 - x**5/30 - x**4/27 + x**3/9 + 5*x**2/18 + 10*x. Factor q(v).
-(v - 1)*(v + 1)**2*(v + 5)/9
Find u, given that -10 - 2 - 8*u - 259*u**2 + 263*u**2 = 0.
-1, 3
Suppose 7 = n - 2*w + 5*w, -2*n = -4*w - 4. Suppose -n*c = 3*t - 5 - 5, 4*c - 2*t - 20 = 0. Let -6/5*r**3 + 0 + 2/5*r**c - 2/5*r + 6/5*r**2 = 0. Calculate r.
0, 1
Let v be 8/(-14)*(-5)/10. Let z(s) = s**2 - 6*s. Let n be z(6). Let n - v*d + 10/7*d**2 - 8/7*d**3 = 0. What is d?
0, 1/4, 1
Let p(s) be the second derivative of 1/12*s**3 + 0 - 1/48*s**4 - 5*s - 1/8*s**2. Suppose p(x) = 0. What is x?
1
Let t = 2336291/105 - 22250. Let f = t - 2/35. What is w in 0 - 1/3*w**3 + 2/3*w**2 - f*w = 0?
0, 1
Let f be 10/3*6/4. Suppose f*r - m = 8, -5*r = 5*m - 2*m + 4. Determine w, given that r - 5 + 2*w**2 + 6 + 4*w = 0.
-1
Let s(w) be the third derivative of 4*w**7/525 - w**6/100 - w**5/30 + w**4/20 + w**3/15 + 20*w**2. What is j in s(j) = 0?
-1, -1/4, 1
Find i, given that 1/2*i + 1/4 + 0*i**2 - 1/2*i**3 - 1/4*i**4 = 0.
-1, 1
Let c(x) be the third derivative of -2*x**7/525 + x**6/30 - 8*x**5/75 + 2*x**4/15 + 2*x**2. Solve c(g) = 0.
0, 1, 2
Let o(t) = 5*t**3 + 10*t**2 + t + 4. Let f(c) = -10*c**3 - 20*c**2 - c - 9. Let v(l) = -4*f(l) - 9*o(l). Factor v(g).
-5*g*(g + 1)**2
Factor 2/3*o**5 + 32/3*o**2 + 4/3 + 6*o + 4*o**4 + 28/3*o**3.
2*(o + 1)**4*(o + 2)/3
Let b(t) be the second derivative of t**6/20 - 3*t**5/40 - 3*t**4/8 + 5*t**3/4 - 3*t**2/2 + 21*t. Solve b(g) = 0.
-2, 1
Let p = 10 + -7. Let a(h) = -2*h**2 - 4 - h**2 - 2*h + 3*h + 2*h + h**3. Let s(t) = 2*t**3 - 6*t**2 + 6*t - 9. Let j(g) = p*s(g) - 7*a(g). Factor j(u).
-(u - 1)**3
Let n = -781/5 - -157. Let h(o) be the second derivative of -o + 0 + 16/15*o**3 - n*o**2 + 1/105*o**7 - 5/6*o**4 + 19/50*o**5 - 7/75*o**6. Solve h(a) = 0 for a.
1, 2
Let s be (-6)/(-5) + (-64)/160. Find n, given that 0*n + 2*n**4 - s*n**2 + 6/5*n**3 + 0 = 0.
-1, 0, 2/5
Let x be (0 + -2)/(5/(40/(-12))). Solve 4*r**3 + 0*r + 3*r**4 + 0 + x*r**2 = 0 for r.
-2/3, 0
Solve 1/3*m**4 - 1/3*m**5 - 1/3*m**2 + 0 + 0*m + 1/3*m**3 = 0.
-1, 0, 1
Factor -8*i**3 - 12*i**4 - 5*i**2 + 7*i**4 - 2*i**3.
-5*i**2*(i + 1)**2
Let d(u) be the third derivative of u**8/6720 - u**7/2520 - u**6/720 + u**5/120 + u**4/12 + u**2. Let w(i) be the second derivative of d(i). Factor w(t).
(t - 1)**2*(t + 1)
Let f(p) be the third derivative of -p**8/798 + 8*p**7/1995 + 11*p**6/1140 - 13*p**5/570 - 4*p**4/57 - 4*p**3/57 + 8*p**2. Let f(y) = 0. What is y?
-1, -1/2, 2
Let h be 33/(-44) - (-9)/6. Suppose 9/4*m**2 + h*m**3 + 3/2*m + 0 = 0. What is m?
-2, 