5 = 0.
-1, 0, 1
Let m(w) = -4*w + 5*w + 7 + 2. Let t be m(-9). Factor 2*b**4 - b**3 - b**4 + t*b**3.
b**3*(b - 1)
Let i(d) be the first derivative of -d**6/1800 + d**5/600 + d**3 - 9. Let j(c) be the third derivative of i(c). Factor j(n).
-n*(n - 1)/5
Let r be -3 + 0 + 0 + -72. Let s = r - -378/5. Factor -s*k**2 - 1/5*k**4 + 3/5*k**3 + 1/5*k + 0.
-k*(k - 1)**3/5
Determine f so that 123*f + 0 - f**2 + 0 - 129*f = 0.
-6, 0
Let j(y) be the first derivative of -y**4/8 - y**3/2 - 3*y**2/4 - y - 1. Let w(u) be the first derivative of j(u). Solve w(i) = 0.
-1
Let o(j) be the third derivative of -j**7/840 - j**6/160 + j**5/48 + j**4/32 - j**3/6 + 9*j**2. Factor o(c).
-(c - 1)**2*(c + 1)*(c + 4)/4
Suppose -5*v + 1 = -4. What is p in v + p**3 + 3*p**2 + 2*p**2 + 7*p + 2 = 0?
-3, -1
Let l(u) be the first derivative of u**4 + 8/5*u**5 + 0*u - 10 - 4/3*u**3 + 0*u**2. Let l(g) = 0. Calculate g.
-1, 0, 1/2
Let 4/7 - 632/7*q**4 + 317/7*q**3 + 3/7*q**2 - 4*q + 48*q**5 = 0. Calculate q.
-2/7, 1/4, 2/3, 1
Let p(u) = -u**2 + u. Let y(i) = i + 1. Let o(v) = p(v) - y(v). Let a(f) = -2*f**2 + f - 2. Let l(b) = -2*a(b) + 3*o(b). Factor l(k).
(k - 1)**2
Let k be (4/1)/(-2 + 24). Factor -4/11*m + 2/11*m**2 + k.
2*(m - 1)**2/11
Factor 10*z - 14*z**2 + 1 + 28*z**2 - 5.
2*(z + 1)*(7*z - 2)
Let k(y) be the first derivative of -1/60*y**4 + 0*y + 0*y**3 + 1/75*y**5 + 2 - 1/2*y**2 - 1/300*y**6. Let v(i) be the second derivative of k(i). Factor v(g).
-2*g*(g - 1)**2/5
Suppose -4 + 32 = 14*n. Let -1/2*k**n - 1/6*k**3 - 1/2*k - 1/6 = 0. Calculate k.
-1
Let p(m) = m**3 + 8*m**2 - m - 6. Let i be p(-8). Factor -1 + 8 - i - 4*d**2 + 2*d**3 - 2*d - 1.
2*(d - 2)*(d - 1)*(d + 1)
Let a(u) be the first derivative of -14/15*u**3 + 0*u - 2/5*u**2 - 4/25*u**5 + 9 - 7/10*u**4. What is r in a(r) = 0?
-2, -1, -1/2, 0
Let b(y) be the third derivative of y**6/720 - y**4/36 + 30*y**2. Factor b(p).
p*(p - 2)*(p + 2)/6
Factor 1/2*t**5 + 6*t**3 - 3*t**4 + 3/2*t + 0 - 5*t**2.
t*(t - 3)*(t - 1)**3/2
Let z(r) be the first derivative of r**3/12 + 3*r**2/8 - 7. Factor z(v).
v*(v + 3)/4
Let x(a) = -2*a**4 - 34*a**3 - 180*a**2 - 216*a + 436. Let j(w) = 2*w**4 + 34*w**3 + 180*w**2 + 216*w - 435. Let i(v) = 4*j(v) + 3*x(v). Factor i(u).
2*(u - 1)*(u + 6)**3
Let z(w) be the first derivative of -w**5/5 - w**4 - w**3 + 49. What is m in z(m) = 0?
-3, -1, 0
Let n = -17 + 5. Let p be (n/9)/2*-2. Determine l, given that 0*l - 21*l**3 - 67/3*l**2 + p = 0.
-1, -2/7, 2/9
Let l be 10/(-150) + (-2)/(-5). What is x in -1/3*x**5 + 0*x + 0*x**4 + l*x**3 + 0 + 0*x**2 = 0?
-1, 0, 1
Let h(p) be the first derivative of -2*p**5/5 - p**4/2 + 8. Factor h(c).
-2*c**3*(c + 1)
Let f = -4/21 + 23/84. Let u(k) be the second derivative of -f*k**4 - 1/20*k**5 + k + 0 + 1/2*k**2 + 1/6*k**3. Determine b, given that u(b) = 0.
-1, 1
Suppose -27*f + 22*f = -60. Let q = f - 34/3. Solve 0*s + 0*s**3 - 4/3*s**2 + q*s**4 + 2/3 = 0.
-1, 1
Let f = -20 - -81/4. Suppose -4*k + 6 = -2*u - 9*k, -u + 12 = -5*k. What is h in 0*h + 0*h**3 + 1/4*h**u + 0 - f*h**4 = 0?
-1, 0, 1
Let m = 699/2 - 348. Determine a so that m*a**2 - 3/4*a + 3/4*a**3 - 3/2 = 0.
-2, -1, 1
Suppose 1 + 1 = z. Let r(i) be the first derivative of 4/9*i**3 - 4/3*i + 1/3*i**2 + z - 1/6*i**4. Factor r(b).
-2*(b - 2)*(b - 1)*(b + 1)/3
Let x = 11 - 8. Find y, given that 4 - x*y**2 + 9 - 1 = 0.
-2, 2
Let o(b) = 4*b**3 - 40*b**2 + 52*b - 16. Let j(q) = -q**3 + 13*q**2 - 17*q + 5. Let h(w) = 8*j(w) + 3*o(w). Let h(r) = 0. What is r?
1, 2
What is n in -7/5 + 1/5*n**2 + 6/5*n = 0?
-7, 1
Let m(u) = 3*u**3 - 12*u**2 + 9*u - 6. Let s(i) = 3*i**3 - 11*i**2 + 8*i - 5. Let q = -4 + -2. Let y(v) = q*s(v) + 5*m(v). Factor y(g).
-3*g*(g - 1)**2
Let k(o) be the first derivative of -o**6/180 + o**4/12 - o**3/3 - 3. Let b(n) be the third derivative of k(n). Find w such that b(w) = 0.
-1, 1
Suppose -5*w = -5*o - 5, -3*w - 4*o + 0*o = -10. Factor 3 - 7 + 0*g**w + 0*g**3 - g**3 + 3*g**2.
-(g - 2)**2*(g + 1)
Let b be 2 + -1 - 20*(-2)/(-48). Find c, given that 0 + 1/3*c**4 - 1/6*c**5 + b*c + 0*c**3 - 1/3*c**2 = 0.
-1, 0, 1
Let j(u) be the first derivative of 4*u**6/9 - 2*u**5/3 + u**4/12 + u**3/9 - 47. Let j(h) = 0. Calculate h.
-1/4, 0, 1/2, 1
Let a = -642 - -678. Determine m, given that -15/2*m - a*m**2 + 3 + 165/2*m**3 - 42*m**4 = 0.
-2/7, 1/4, 1
Determine l so that 0*l + 18/11*l**2 + 0 + 2/11*l**3 = 0.
-9, 0
Suppose -20 = 5*h + 10. Let p = -6 - h. Factor p + 0*u - 2/9*u**3 + 2/9*u**2.
-2*u**2*(u - 1)/9
Let d(q) be the second derivative of 3*q + 0*q**2 + 0 - 1/3*q**3 + 1/21*q**7 + 0*q**5 + 1/3*q**4 - 2/15*q**6. Factor d(x).
2*x*(x - 1)**3*(x + 1)
Let p(h) be the first derivative of -h**8/392 - h**7/735 + h**6/140 + h**5/210 - 2*h**2 + 1. Let w(t) be the second derivative of p(t). Solve w(y) = 0 for y.
-1, -1/3, 0, 1
Let w(p) be the third derivative of p**8/1008 - p**7/315 - p**6/90 + p**5/90 + p**4/24 - 4*p**2. Factor w(g).
g*(g - 3)*(g - 1)*(g + 1)**2/3
Factor 24*y**3 + 4*y - 16*y**4 - 18*y**5 - 4*y**2 - 12*y**2 + 22*y**5.
4*y*(y - 1)**4
Let r(b) be the third derivative of -1/180*b**6 + 0 + 1/36*b**4 + 0*b**3 + 1/90*b**7 + 0*b - 2*b**2 - 7/180*b**5. Determine j so that r(j) = 0.
-1, 0, 2/7, 1
Factor 5*m + 7/4*m**3 + 23/4*m**2 + 1.
(m + 1)*(m + 2)*(7*m + 2)/4
Suppose -2 = -4*f + 6. Suppose f*a + 12 = 2*h, 0*h + 5*a - 30 = -5*h. Let h*u**3 - 6*u**3 - u**2 + u**4 = 0. Calculate u.
-1, 0, 1
Let i be -2 - ((-2 - -3) + 1). Let d be i/18 + (-84)/(-135). Factor 2/5*o - 2/5*o**3 + 2/5*o**2 - d.
-2*(o - 1)**2*(o + 1)/5
Let q be (4/(-30))/(21/(-70)). Find g such that -2/9 - 10/9*g**2 + 8/9*g + q*g**3 = 0.
1/2, 1
Let g(r) = -r**2 + 12*r + 7. Let i be g(10). Suppose 2*v + 2*v - i = 3*o, v + o = -2. Suppose 0*b**v + 0*b - 1/4*b**4 - 1/4 + 1/2*b**2 = 0. What is b?
-1, 1
Let n(c) be the third derivative of c**6/600 + c**5/200 - c**3/2 + 5*c**2. Let m(p) be the first derivative of n(p). Solve m(j) = 0 for j.
-1, 0
Let m be (394 - 4)*(-6)/(-15). Let v = m - 464/3. Solve -1/3 + v*o**2 + o = 0 for o.
-1, 1/4
Factor 25*m**2 - 2 - m + 2 - 55*m**3 + 20*m**4 + 11*m.
5*m*(m - 2)*(m - 1)*(4*m + 1)
Let u(q) be the first derivative of 1/2*q**2 - 1/2*q - 1/6*q**3 + 3. What is n in u(n) = 0?
1
Let c = -88 + 266/3. Let -2/3*t**3 + c*t - 4/3 + 4/3*t**2 = 0. Calculate t.
-1, 1, 2
Let o(l) = -l**2 + 13*l - 22. Let x be o(2). Solve -2/5*q**2 + 4/5*q + x = 0.
0, 2
Suppose b**3 - 5*b**3 + 20*b**2 + 4*b - 5*b**4 + b**4 - 8*b**2 - 8 = 0. Calculate b.
-2, -1, 1
Let r(a) be the first derivative of 4*a**3/21 + 3*a**2/14 - 39. Find o, given that r(o) = 0.
-3/4, 0
Let m be (-1)/(1 + 5/(-4)). Factor c - c**2 + 4*c**3 + 8*c**4 - 9*c**m + 2*c**2 - 5*c**3.
-c*(c - 1)*(c + 1)**2
Let n(q) be the first derivative of q**6/3 - 2*q**5/5 - q**4/2 + 2*q**3/3 - 7. Factor n(m).
2*m**2*(m - 1)**2*(m + 1)
Suppose 0 = -0*d + 4*d. Let a(h) be the second derivative of -1/3*h**3 + 2*h + 0 + d*h**2 - 1/6*h**4. Solve a(y) = 0.
-1, 0
Suppose 4 = 2*o - 2. Let v(j) be the third derivative of 0*j**6 + 0*j + 0*j**o - 1/630*j**7 + 0 + j**2 + 0*j**4 + 1/180*j**5. Factor v(n).
-n**2*(n - 1)*(n + 1)/3
Let n(g) be the second derivative of 7/75*g**6 + 0*g**2 + 0*g**3 - 1/25*g**5 + 0 + 0*g**4 + 4*g. Find l such that n(l) = 0.
0, 2/7
Let q(o) = -2*o**2 - 3*o - 4. Let f(k) = 11*k**2 + 17*k + 24. Suppose 29 = 3*d + 131. Let j(i) = d*q(i) - 6*f(i). Factor j(z).
2*(z - 2)*(z + 2)
Let z(v) be the first derivative of -v**6/1980 - v**5/660 - 5*v**3/3 + 2. Let q(m) be the third derivative of z(m). Factor q(c).
-2*c*(c + 1)/11
Solve -7*o + 4*o**2 + 7 + 0*o**2 - 9 = 0.
-1/4, 2
Let s(y) be the first derivative of -1/30*y**5 + 2*y + 1/9*y**3 + 1/6*y**2 + 0*y**4 - 1/90*y**6 + 2. Let j(i) be the first derivative of s(i). Factor j(g).
-(g - 1)*(g + 1)**3/3
Suppose 15/4 + 3/8*t**2 + 21/8*t = 0. Calculate t.
-5, -2
Let g(t) be the third derivative of t**5/60 + t**4/3 + 30*t**2. Factor g(u).
u*(u + 8)
Let t be 4/2 - (-3 - 0). Factor 2 - 2 - b**t - b**3 + 2*b**5.
b**3*(b - 1)*(b + 1)
Let y = 1 + -1. Factor q**3 - 3*q + 2*q + y*q**3.
q*(q - 1)*(q + 1)
Let l**2 + l + 1/3 + 1/3*l**3 = 0. Calculate l.
-1
Let b(x) = x**3 + 4*x**2 + 4*x + 7. Let c be b(-3). Let m(i) be the second derivative of -i - 4/3*i**3 + 0 + 4*i**2 + 1/6*i**c. Factor m(q).
2*(q - 2)**2
Let b(a) = 13*a**4 + 3*a**3 - 11*a**2 - 4*a - 