) = 0.
-1, 0, 1
Suppose -5*h + 1 - 29 = -2*w, -w - 8 = 3*h. Let p(y) = -y + 15. Let r be p(12). Factor 2*d**2 - r*d**2 - 1 - w*d + 6*d.
-(d - 1)**2
Let o(g) be the first derivative of -2/7*g**4 + 2/7*g + 6/7*g**3 - 6/7*g**2 + 3. Solve o(l) = 0.
1/4, 1
Factor -76*g**2 - 2*g**3 + 75*g**2 + g**3.
-g**2*(g + 1)
Factor z + 7/2*z**2 + 0 + 5/2*z**3.
z*(z + 1)*(5*z + 2)/2
Suppose -2*o = 2*j - 7*j - 1052, -j - 220 = 2*o. Let w = -628/3 - j. Factor -8/3 - w*l - 2/3*l**2.
-2*(l + 2)**2/3
Let c be (9/(-6) + 2)*4. Factor -4/11 - 6/11*u - 2/11*u**c.
-2*(u + 1)*(u + 2)/11
Let y(g) be the second derivative of g**5/10 - 2*g**4/3 - g**3 + 18*g**2 + 24*g. Factor y(u).
2*(u - 3)**2*(u + 2)
Let w = 7 - 5. Factor -5*z**2 + 3*z**2 + 0*z**w.
-2*z**2
Let f be (1/18)/(-13 - (-600)/45). Suppose 0*o**3 + 0*o**2 + 0 + 0*o - f*o**4 = 0. What is o?
0
Let a be 9/3 + 3/1. Let x be (a/8)/(6/4). Find p such that 0*p**3 - 1/4*p + 1/4*p**5 - x*p**2 + 1/2*p**4 + 0 = 0.
-1, 0, 1
Let s = -100 + 104. Factor 1/3*p**s + 0*p + 0 + 0*p**3 - 1/3*p**2.
p**2*(p - 1)*(p + 1)/3
Let g be 3/15*(18 + -8). Let 0 + 0*m**g + 1/6*m - 1/6*m**3 = 0. What is m?
-1, 0, 1
Let o(d) be the second derivative of d**6/10 + 9*d**5/20 - 2*d**3 + 6*d - 4. Factor o(t).
3*t*(t - 1)*(t + 2)**2
Let t(v) = 0*v**2 + 6 + 4*v**4 + 6*v - v**5 + 2*v**2 - 3*v**5 - 2*v**3. Let o(a) = -a**5 + a**4 + a + 1. Let r(m) = -6*o(m) + t(m). Let r(g) = 0. What is g?
-1, 0, 1
Let z(r) be the second derivative of -r**6/75 - r**5/100 + r**4/12 + r**3/30 - 3*r**2/10 + 12*r. Suppose z(y) = 0. What is y?
-3/2, -1, 1
Let v = 18 + -18. Let a(d) be the first derivative of 3/2*d**4 - 1 + v*d**2 - 2/3*d**3 + 0*d - 6/5*d**5 + 1/3*d**6. Let a(h) = 0. Calculate h.
0, 1
Let c(q) = -6*q**3 + 2*q**2 + 1. Let r be c(-2). Let k = -169/3 + r. Factor 4/3*g**3 - 2/3*g**5 + 2/3*g**4 - 4/3*g**2 - k*g + 2/3.
-2*(g - 1)**3*(g + 1)**2/3
Factor 0 + 8/5*i + 2/5*i**2.
2*i*(i + 4)/5
Let o(n) be the third derivative of n**7/1050 - n**6/300 + n**5/300 - 5*n**2. Solve o(p) = 0.
0, 1
Let s = 250/1287 - -4/143. Let w(i) be the second derivative of 0 + 4*i - s*i**3 + 0*i**4 + 7/60*i**5 - 1/30*i**6 + 0*i**2. Find h, given that w(h) = 0.
-2/3, 0, 1, 2
Let u(j) be the first derivative of 12*j**5/5 + j**4 - 20*j**3/3 - 2*j**2 + 8*j - 1. What is b in u(b) = 0?
-1, 2/3, 1
Suppose -3*j - 12 = -4*y + 2*j, 5*y + 5*j - 15 = 0. Let n be ((-2)/(-5))/(y/15). Factor -20/7*z**3 - 10/7*z + 2/7 + 10/7*z**4 - 2/7*z**5 + 20/7*z**n.
-2*(z - 1)**5/7
Let y = -5 - -7. Find t, given that 2*t**2 + 2*t**2 - y*t**2 = 0.
0
Let 2/11*b**2 + 0*b + 0 = 0. Calculate b.
0
Suppose -13 - 15 = -2*p. Let k = p + -10. Factor 3/4*q**k + 0 + 1/4*q**2 + 0*q - q**3.
q**2*(q - 1)*(3*q - 1)/4
Let o = 13 + -9. What is j in -3*j**2 + o*j**2 - 1 - j**3 - 3*j**3 + j**3 + 3*j = 0?
-1, 1/3, 1
Factor 4/5 + 12/5*r**2 - 12/5*r - 4/5*r**3.
-4*(r - 1)**3/5
Solve 14 - 40*r**2 - 40*r**2 - 40*r**3 - 14 - 5*r**4 = 0.
-4, 0
Let g(p) be the third derivative of -p**6/300 - p**5/150 + p**4/30 - 10*p**2. Factor g(t).
-2*t*(t - 1)*(t + 2)/5
Let s(p) be the third derivative of 1/525*p**7 - 4*p**2 + 0*p + 0 - 1/150*p**6 + 1/150*p**5 + 0*p**4 + 0*p**3. Factor s(d).
2*d**2*(d - 1)**2/5
Suppose 4*m = 9*m - 105. Suppose 0 = -4*w + m - 5. What is f in -4/5*f**2 + 4/5*f**w + 0*f**3 + 0 - 2/5*f**5 + 2/5*f = 0?
-1, 0, 1
Let r = 68/287 + 2/41. Factor 2/7 + 2/7*b**3 - r*b - 2/7*b**2.
2*(b - 1)**2*(b + 1)/7
Let k(z) = 17 - 15*z**3 + 4*z**2 + 15*z - 20 - 19*z**2. Let s(f) = -8*f**3 - 8*f**2 + 8*f - 2. Let l(d) = 5*k(d) - 9*s(d). Factor l(h).
-3*(h - 1)*(h + 1)**2
Factor 1 - 4*t**2 + t**4 - 6*t + 7*t + 2*t**4 + 2*t**3 - 3*t.
(t - 1)*(t + 1)**2*(3*t - 1)
Factor -3/2 - 1/4*s**3 - 11/4*s - 3/2*s**2.
-(s + 1)*(s + 2)*(s + 3)/4
Let o(y) = -y**5 + 4*y**4 + 6*y**3 - 4*y**2 - 5*y. Let i(v) = 2*v**5 - 9*v**4 - 13*v**3 + 9*v**2 + 11*v. Let s(n) = 6*i(n) + 13*o(n). Solve s(g) = 0.
-1, 0, 1
Let z(j) be the first derivative of 3*j**5/25 - 3*j**3/5 - 3*j**2/5 - 4. Factor z(g).
3*g*(g - 2)*(g + 1)**2/5
Let j(l) = -7*l**4 + 5*l**3 - 9*l**2 + l + 5. Let o(p) = -3*p**4 + 3*p**3 - 5*p**2 + p + 2. Let h be 15*(1/1)/(-3). Let i(w) = h*o(w) + 2*j(w). Factor i(a).
a*(a - 3)*(a - 1)**2
Let k(v) = -v**3 + 2*v**2 + 2*v. Let a be k(2). Factor -2*b**3 + 5*b**4 + 0*b**3 - 7*b**a.
-2*b**3*(b + 1)
Suppose -8/3*t**2 + 0 - 4/3*t**3 - 4/3*t = 0. What is t?
-1, 0
Let j(a) = a**3 + 6*a**2 - 7*a + 2. Suppose 3*z = -4 - 17. Let t be j(z). Solve 0*y - 2/9*y**t + 2/9 = 0.
-1, 1
Let v(q) be the third derivative of -q**7/525 - q**6/150 + q**5/30 + q**4/10 - 17*q**2. Find l, given that v(l) = 0.
-3, -1, 0, 2
Let g(j) be the first derivative of -j**4/18 - 2*j**3/27 + 2*j**2/9 + 25. Factor g(b).
-2*b*(b - 1)*(b + 2)/9
Let u be ((-4)/3 - 0)/(2/(-3)). Let z(d) be the second derivative of -4/3*d**3 + 1/2*d**4 + d**u + 0 - d. Factor z(y).
2*(y - 1)*(3*y - 1)
Let f(i) = i**2 - 4*i. Let d be f(5). Suppose -11 = -2*t - o, o = d*t - 1 - 16. Find b such that b**3 - b**t + b**2 - 5*b**5 + 0*b**4 + 4*b**5 = 0.
-1, 0, 1
Let j(q) be the third derivative of -q**6/60 - q**5/10 - q**4/4 - q**3/3 + 6*q**2. Suppose j(b) = 0. What is b?
-1
Let f = -2 + 7. Suppose 0 = -0*h - f*h. Determine b so that -4*b + h*b - 2*b + 4 + 2*b**2 = 0.
1, 2
Let m(h) be the third derivative of h**8/84 + 2*h**7/105 - h**6/30 - h**5/15 + 12*h**2. Factor m(x).
4*x**2*(x - 1)*(x + 1)**2
Let c(k) be the second derivative of 3*k**5/20 - k**4/2 - k**3 - 4*k. Let r(s) = 3*s**3 - 6*s**2 - 5*s. Let q(f) = -5*c(f) + 6*r(f). Find l such that q(l) = 0.
0, 2
Let h(s) be the third derivative of -s**5/45 + s**4/72 + 18*s**2. Solve h(y) = 0 for y.
0, 1/4
Let h(a) = -a**2 + 2*a + 5. Let x be h(3). Suppose -10 = -4*q - x. What is u in 2/7*u - 2/7*u**5 + 0 + 0*u**3 + 4/7*u**4 - 4/7*u**q = 0?
-1, 0, 1
Let j be 2 + 8/((-192)/40). Determine x so that j*x**3 + 2*x**2 + 4*x + 8/3 = 0.
-2
Let g(t) be the second derivative of 1/66*t**4 + 6*t - 1/33*t**3 + 1/110*t**5 + 0 - 1/11*t**2. Suppose g(l) = 0. What is l?
-1, 1
Let c(t) be the second derivative of -t**5/40 + t**4/24 + t**3/6 + 10*t. Factor c(y).
-y*(y - 2)*(y + 1)/2
Let x(g) be the third derivative of -1/36*g**4 - 2*g**2 - 1/180*g**5 - 1/18*g**3 + 0*g + 0. Factor x(k).
-(k + 1)**2/3
Let v = 39 + -39. Let u(n) be the first derivative of 0*n + 0*n**3 - 1/8*n**2 + v*n**5 - 1/24*n**6 - 3 + 1/8*n**4. What is i in u(i) = 0?
-1, 0, 1
Let x(o) be the third derivative of -1/75*o**5 - 3*o**2 + 0*o**3 + 1/60*o**4 + 0*o + 0 + 1/300*o**6. Factor x(j).
2*j*(j - 1)**2/5
Suppose -440*t**2 - 65 + 117*t**2 + 234*t**3 - 256*t**2 + 17 - 27*t**4 + 312*t = 0. Calculate t.
1/3, 4
Let z be (5/300)/(6/4). Let m(x) be the third derivative of 2*x**2 - 1/90*x**5 + 0 + z*x**6 - 1/315*x**7 + 0*x**3 + 0*x**4 + 0*x. Find d, given that m(d) = 0.
0, 1
Let p(q) be the third derivative of q**7/315 + q**6/180 + 30*q**2. Factor p(u).
2*u**3*(u + 1)/3
Let j(i) be the second derivative of i**5/20 + 5*i**4/12 - i**3/6 - 5*i**2/2 + 11*i. Determine s, given that j(s) = 0.
-5, -1, 1
Factor 28*v**2 - 15*v**4 + 17*v**2 - 421*v**3 + 70*v + 321*v**3.
-5*v*(v - 1)*(v + 7)*(3*v + 2)
Let h(j) be the first derivative of 0*j - 1/2*j**2 - 1 - 1/3*j**3. Factor h(r).
-r*(r + 1)
Let m(y) be the first derivative of -3/4*y + 6 - 3/4*y**3 - 3/16*y**4 - 9/8*y**2. Factor m(o).
-3*(o + 1)**3/4
Let b(p) be the second derivative of -p**6/40 + p**4/8 + p**2/2 + 2*p. Let m(h) be the first derivative of b(h). Suppose m(j) = 0. Calculate j.
-1, 0, 1
Let f(u) be the third derivative of -u**6/300 - u**5/50 + u**4/15 + 21*u**2. Find k such that f(k) = 0.
-4, 0, 1
Suppose 0*i = i - 2. Let q(v) = v**2 - v - 2. Let b be q(i). Factor -1/2*d + b + 0*d**2 + 1/2*d**3.
d*(d - 1)*(d + 1)/2
Let z(t) = -t**3 - 5*t**2 - 6*t - 6. Let n be z(-4). Suppose -g - 4*b = -4, -4*g + 2*b - 4 = -n. Determine h so that 1/2*h**3 + g + 1/2*h - h**2 = 0.
0, 1
Let v(x) be the first derivative of 0*x + 1/3*x**2 - 2/9*x**3 - 2. Solve v(n) = 0.
0, 1
Factor 2/21*n**2 + 0*n + 2/7*n**4 + 2/21*n**5 + 0 + 2/7*n**3.
2*n**2*(n + 1)**3/21
Let o(w) be the third derivative of 2*w**7/105 + w**6/30 - w**5/5 - w**4/6 + 4*w**3/3 + 3*w**2. Factor o(b).
4*(b - 1)**2*(b + 1)*(b + 2)
Let a(h) be the third derivative of -1/210*h**7 + 0*h**3 - 1/60*h**5 + 0 + 0*h + 1/60*h**6 + 0*h**4 + 3*h**2. Factor a(v).
-v**2*(v - 1