v?
-1, 0
Suppose 2*z - 5*r - 14 = 0, -2*r + 12 = -5*r. Let m = z + 10/3. Factor 0 - m*q + 1/3*q**3 + 1/3*q**4 - 1/3*q**2.
q*(q - 1)*(q + 1)**2/3
Let u be -5*((-7 - -2) + 4). Find a such that -a - u - 2*a + 4*a**2 - 1 + 5*a**2 = 0.
-2/3, 1
Let o be 0 - (28/(-8) + 3). Factor -1/2*m**4 + m**2 + 1/2*m - 1/2 + o*m**5 - m**3.
(m - 1)**3*(m + 1)**2/2
Let u(g) be the first derivative of -g**6/21 + 18*g**5/35 - 16*g**4/7 + 16*g**3/3 - 48*g**2/7 + 32*g/7 - 2. Solve u(p) = 0.
1, 2
Suppose -5*k + 9 = -4*a, 0*k + 5*a = 3*k + 5. Determine c, given that -1/2*c**k + 0 + c**4 + 0*c - 1/2*c**3 + 0*c**2 = 0.
0, 1
Let m = -271 - -273. Factor -2/7*w - 1/7 - 1/7*w**m.
-(w + 1)**2/7
Suppose -p - 5*k = -4*k - 4, 0 = 3*p + 5*k - 16. Suppose 16/3*u + u**3 - 13/3*u**p - 4/3 = 0. What is u?
1/3, 2
Let q = 2 - 6. Let w be (-77)/(-63) + q/18. Factor 2*h - 12*h**2 - w + 4*h**2 - 16*h**3 + 5*h.
-(h + 1)*(4*h - 1)**2
Find o, given that -80/3*o**2 - 15*o - 10/3 - 70/3*o**3 - 5/3*o**5 - 10*o**4 = 0.
-2, -1
Let r = 237/3080 + -4/77. Let t(w) be the second derivative of 3*w + 1/4*w**2 - r*w**6 + 1/16*w**5 - 5/24*w**3 + 0 + 1/48*w**4. Let t(c) = 0. What is c?
-1, 2/3, 1
Let t be (-4)/((-80)/(-116)) - -6. Suppose 0 - t*l**2 + 1/5*l = 0. Calculate l.
0, 1
Let p(t) = -4*t**3 + 5*t**2 + 4*t - 4. Let w(o) = -o**2. Let d(h) = p(h) + w(h). Factor d(k).
-4*(k - 1)**2*(k + 1)
Suppose 3*v = -3*y + 18, -y - 14 + 2 = -5*v. Solve -2/3*p**2 + 1/3*p**v + 0*p + 0 = 0.
0, 2
Let h(w) be the third derivative of w**6/144 + 7*w**5/120 + w**4/6 + w**3/9 + 9*w**2. Factor h(f).
(f + 2)**2*(5*f + 1)/6
Let k(d) be the second derivative of d**7/84 + d**6/60 - d**5/40 - d**4/24 + 2*d. Determine j, given that k(j) = 0.
-1, 0, 1
Let j(n) be the first derivative of 14*n**5/85 + 8*n**4/17 + 22*n**3/51 + 2*n**2/17 - 17. Factor j(w).
2*w*(w + 1)**2*(7*w + 2)/17
Let s(w) be the third derivative of 0 + 1/360*w**6 + 7/72*w**4 + 0*w + 1/36*w**5 - 3*w**2 + 1/6*w**3. Suppose s(u) = 0. Calculate u.
-3, -1
Let v(s) = 3*s**2 + 3*s + 2. Let p be v(-1). Suppose -2/7*z + 2/7*z**p + 2/7*z**3 - 2/7 = 0. Calculate z.
-1, 1
Let f(l) be the first derivative of l + 1 - 3/2*l**2 + 2/3*l**3. Suppose f(t) = 0. Calculate t.
1/2, 1
Find h, given that 2/11*h - 2/11*h**2 + 4/11 = 0.
-1, 2
Let i be -2*(-1 + 9/6). Let y be (13/(-4) + 3)/i. Let 1/4*b + 0 + y*b**2 = 0. What is b?
-1, 0
Let w(v) = v**2 + 3. Let h(t) = 0 - 2 + 1 - t**2. Let l(i) = -3*h(i) - w(i). Factor l(u).
2*u**2
Let v = 263/430 - 1/86. Solve -v*p**2 + 2/5*p + 1/5 = 0.
-1/3, 1
Suppose -1 = 4*w - 3*m, 3*w + m = 4*m. Let p be 4*w*6/(-8). Solve -2 - 30*g**2 - 16*g**4 - p*g**5 - 3*g**3 - 8*g**3 - 13*g - 21*g**3 = 0.
-2, -1, -1/3
Let w(l) be the second derivative of -2*l**6/35 + 33*l**5/140 - 9*l**4/28 + l**3/14 + 3*l**2/14 - 8*l. Factor w(a).
-3*(a - 1)**3*(4*a + 1)/7
Let x(j) be the third derivative of -j**7/630 + j**6/120 - j**5/60 + j**4/72 + 49*j**2. Solve x(f) = 0.
0, 1
Let a(y) be the third derivative of y**8/840 - y**7/525 - y**6/150 + y**5/75 + y**4/60 - y**3/15 + 3*y**2. Factor a(m).
2*(m - 1)**3*(m + 1)**2/5
Let d(a) = a**2 + 6*a - 3. Let b be d(-7). Factor -4*r**b + 3*r**2 + 8*r**4 + 8*r**4 + 15*r**3.
3*r**2*(r + 1)*(4*r + 1)
Solve -6*m**3 - 9*m**2 + 0*m - 10*m**3 + 4*m**3 - 2*m - 5*m**4 = 0 for m.
-1, -2/5, 0
Let h = -4 - -7. Factor -4 - 11*d**2 + 2*d**2 - 6*d - 4*d**h + 3.
-(d + 1)**2*(4*d + 1)
Suppose -2 = -115*s + 114*s. Let a(i) be the third derivative of 0 + 1/480*i**6 + 0*i**3 + 0*i - 2*i**s + 0*i**5 - 1/96*i**4. Let a(g) = 0. What is g?
-1, 0, 1
Suppose 27*l = l. What is u in -2/3*u**2 - 14/3*u**5 - 25/3*u**4 + 0*u - 13/3*u**3 + l = 0?
-1, -1/2, -2/7, 0
Let v = 42/11 - 157/44. Let -1/4*x**4 + 1/2 + 3/4*x**2 + 5/4*x - v*x**3 = 0. Calculate x.
-1, 2
Let n(q) be the second derivative of q**9/432 + q**8/6720 - q**7/1680 - q**3/3 + 4*q. Let w(x) be the second derivative of n(x). Solve w(k) = 0.
-2/7, 0, 1/4
Let h(u) be the first derivative of u**4/2 + 2*u**3 + u**2 - 4. Let i(c) = 4*c**3 + 13*c**2 + 5*c. Let f(z) = 10*h(z) - 4*i(z). Determine v so that f(v) = 0.
-2, 0
Suppose 0*w = -3*w + 9. Let d(v) be the second derivative of 1/9*v**2 + 1/27*v**w - 3*v + 0 - 1/27*v**4. Factor d(z).
-2*(z - 1)*(2*z + 1)/9
Let r(y) = -2*y**3 + 52*y**2 - 92*y + 42. Let s(q) = q**3 - q**2 + q - 1. Let k(m) = r(m) - 3*s(m). Factor k(b).
-5*(b - 9)*(b - 1)**2
Suppose 0*d + 4*d = -2*l - 18, 3*d = -4*l - 41. Let w = -9 - l. Factor -3*g**w + 2*g**4 + g**3 + 0*g**4 - g + g**4.
g*(g - 1)*(g + 1)*(3*g + 1)
Let k(t) be the second derivative of -t**7/3780 - t**6/540 + t**4/6 + 3*t. Let j(d) be the third derivative of k(d). Factor j(c).
-2*c*(c + 2)/3
Suppose 4*g = -g - 3*d - 12, 0 = d + 4. Suppose 5*z - 6 = 2*z. Determine m, given that 0 - 2/9*m**5 - 2/9*m**3 + g*m**z + 4/9*m**4 + 0*m = 0.
0, 1
Let q(b) be the third derivative of 0 + 0*b - 1/180*b**5 - 1/72*b**4 + 0*b**3 - 3*b**2. Factor q(z).
-z*(z + 1)/3
Let l = 6673/324 - 28/81. Let s = l - 20. Factor -1/4*d**5 - s*d + 0*d**2 + 1/2*d**3 + 0 + 0*d**4.
-d*(d - 1)**2*(d + 1)**2/4
Let 2*b - 4/7 + 8/7*b**2 = 0. Calculate b.
-2, 1/4
Let v(a) be the third derivative of -1/60*a**5 + 0 + 0*a - 1/6*a**3 - 1/12*a**4 + 3*a**2. Factor v(u).
-(u + 1)**2
Find s such that 6/5*s**2 + 3/5*s - 3/5*s**3 - 6/5 = 0.
-1, 1, 2
Let r be -88 + (-1 + 9 - 4). Let j = r - -171/2. Factor 3/2*x**2 - 3 + j*x.
3*(x - 1)*(x + 2)/2
Let b(a) = 3*a - 6. Let x be b(3). Suppose -p**x + 7*p - 2*p**3 - 4*p = 0. Calculate p.
-1, 0, 1
Factor 2/3*m**4 - 2*m**3 + 0 + 2*m**2 - 2/3*m.
2*m*(m - 1)**3/3
Suppose 6 - 16 = -5*z. Let c be z + (-3 - (-20)/12). Factor -c*p**3 - 1/6*p**2 + 0*p - 1/2*p**4 + 0.
-p**2*(p + 1)*(3*p + 1)/6
Suppose 20 = 42*m - 37*m. Determine n, given that 0*n - 1/2*n**5 - 1/4*n**2 + 0 + 1/4*n**m + 1/2*n**3 = 0.
-1, 0, 1/2, 1
Let c(o) = o - 2. Let g be c(4). Let w(u) be the first derivative of 1 - u**g + 4*u - 2/3*u**3. Factor w(i).
-2*(i - 1)*(i + 2)
Suppose -27*c = -32*c. Factor 1/3*a**2 + c*a + 1/3*a**3 + 0.
a**2*(a + 1)/3
Let j be -1*(1 + 4)*-1. Suppose 1 = 3*p - j. Solve -6/5*i - 24/5*i**p + 4/5 - 14/5*i**3 = 0 for i.
-1, 2/7
Let u(y) be the third derivative of y**8/56 - 2*y**7/21 + y**6/6 - 5*y**4/12 + 2*y**3/3 - 5*y**2. Determine f so that u(f) = 0.
-2/3, 1
Let h(a) be the first derivative of -2/5*a - 1/5*a**2 - 3 + 4/15*a**3. Factor h(b).
2*(b - 1)*(2*b + 1)/5
Let k(s) be the second derivative of -s**7/42 + s**5/5 - s**4/6 - s**3/2 + s**2 - 6*s. Find a such that k(a) = 0.
-2, -1, 1
Solve -1/3*d**2 - 2/3*d - 1/3 = 0.
-1
Find k such that 3/4*k**2 - 1/4*k**4 + 1/4*k - 1/2 - 1/4*k**3 = 0.
-2, -1, 1
Let z(y) = -y**2 - 2*y. Let a(o) = 2*o**2 + 3*o. Let r(j) = 4*a(j) + 7*z(j). Factor r(t).
t*(t - 2)
Factor 2/5*v**3 + 0 + 2/5*v - 4/5*v**2.
2*v*(v - 1)**2/5
Let h be ((-2)/(-6))/((-3)/(-18)). Suppose k**3 - k**4 - k**2 - 2*k**3 + k + k**h + k**2 = 0. Calculate k.
-1, 0, 1
Let b(t) be the second derivative of t**4/12 - t**3/2 + t**2 - 17*t. Suppose b(o) = 0. Calculate o.
1, 2
Solve -1/4*j**5 + 0 + 3/4*j - 1/2*j**3 + j**2 - j**4 = 0.
-3, -1, 0, 1
Let j = 4 - 8. Let y = 6 + j. Suppose -3*t + 0*t + 2*t**2 + 0 + 5*t**3 - y*t**3 - 2 = 0. What is t?
-1, -2/3, 1
Let d(c) be the second derivative of -4*c - 1/6*c**3 + 1/6*c**4 + 0 + 0*c**2. What is l in d(l) = 0?
0, 1/2
Suppose 73 = 3*v - 4*r + 53, -4*r = 5*v + 20. Factor 0*x**2 - 2/3*x + 2/3*x**3 + v.
2*x*(x - 1)*(x + 1)/3
Let s be 10*((-3)/5 + 1). Determine x so that 4*x**3 + s*x - 2*x**3 - 6*x**3 = 0.
-1, 0, 1
Let g(q) be the second derivative of q**7/21 - q**6/15 - q**5/10 + q**4/6 - 5*q. Factor g(r).
2*r**2*(r - 1)**2*(r + 1)
Solve -5*b**4 + 0 - 5/3*b**3 - 5/3*b**5 + 10/3*b + 5*b**2 = 0.
-2, -1, 0, 1
Determine d so that -10/3*d**2 + 4*d**3 - 2/3*d + 0 = 0.
-1/6, 0, 1
Let z(h) be the third derivative of h**5/510 + h**4/204 - 2*h**3/51 - 6*h**2. Find g, given that z(g) = 0.
-2, 1
Let p(m) = 4*m + 1. Let u be p(-6). Let z = u + 47/2. What is k in -z*k**2 - 1/2 + k = 0?
1
Determine x, given that 1/6*x**2 + 1/3*x**3 + 0 + 1/6*x**4 + 0*x = 0.
-1, 0
Let g be ((-1)/10*-2)/(27/45). What is m in g*m**3 + 1/3*m**5 + 0*m - 2/3*m**4 + 0 + 0*m**2 = 0?
0, 1
Factor 1/2*t**3 + 1/2*t**2 + 3/2*t**5 + 0*t - 5/2*t**4 + 0.
t**2*(t - 1)**2*(3*t + 1)/2
Factor i**3 - 4 + 2*i - 3*i + 3*i**2 - i**4 - 1 + 3.
-(i - 2)*(i - 1)*(i + 1)**2
Suppose 0 =