
-o*(o + 1)**2*(7*o - 2)/3
Let g be 1*-1*(3 + -3). Let y = 4 + g. Factor -1/3*m**5 - m**3 - 1/3*m**2 + 0 - m**y + 0*m.
-m**2*(m + 1)**3/3
Let d(a) be the first derivative of a**4/12 + a**3/3 + a**2/2 + 5*a + 6. Let h(z) be the first derivative of d(z). Factor h(f).
(f + 1)**2
Let j(z) be the first derivative of -3/2*z**2 - z - z**3 - 1/4*z**4 - 7. Factor j(u).
-(u + 1)**3
Suppose -22 - 6 = -4*x. Let o be (-15)/5 + x + 1. Let 2*l**5 - 2*l**5 + o*l - 2*l**3 - 4*l + l**5 = 0. Calculate l.
-1, 0, 1
Suppose 0 = 3*z - 8*z - 10. Let k(r) = r**3 + 2*r**2 - 3*r - 3. Let q be k(z). Factor 1/3*m**2 + 0 - 1/3*m**5 - m**q + m**4 + 0*m.
-m**2*(m - 1)**3/3
Let b be (1/2)/((-245)/42 - -6). Suppose 0*w - 21/4*w**2 - 5/2*w**b + 1 = 0. Calculate w.
-2, -1/2, 2/5
Let b(c) be the second derivative of -c**5/60 - c**4/18 - 11*c. Solve b(w) = 0.
-2, 0
Let i = 3/559 + 4445/5031. Let -10/9*m - 2/9*m**3 + i*m**2 + 4/9 = 0. What is m?
1, 2
Let d(g) be the third derivative of -g**5/270 + g**3/27 - 17*g**2. What is s in d(s) = 0?
-1, 1
Let m(u) = -2*u + 3*u - u**4 - 2 + 0*u**3 - u**2 + 3*u**3 + 4*u**2. Let y(j) = -j**3. Let t(q) = -m(q) - 4*y(q). Factor t(x).
(x - 1)**2*(x + 1)*(x + 2)
Let -4*c**4 + 10*c**3 - 5*c**3 + c**5 + 3*c**3 - 4*c**3 = 0. What is c?
0, 2
Suppose 4*f - 2*l + 3*l - 23 = 0, 3*f = 2*l + 9. Determine z so that 4*z + 5 + 3*z**3 - 6 + f*z**2 - 3*z = 0.
-1, 1/3
Let c(z) be the first derivative of -4*z**5/25 - z**4 - 18. Factor c(p).
-4*p**3*(p + 5)/5
Let q(m) = 3*m - 6. Let p be q(3). Factor 0*y**2 + 2*y**p + 4*y**2 - 14*y + 13 - 5.
2*(y - 1)**2*(y + 4)
Let o(y) be the third derivative of y**6/300 + y**5/150 - y**4/30 - 12*y**2. Solve o(s) = 0.
-2, 0, 1
Let w be 3 + -4 - (-1 - -1). Let d be 5/(3 + w + -1). Factor -2 + u - 8*u + 48*u**3 - d*u - 2*u**2 - 32*u**4.
-2*(u - 1)**2*(4*u + 1)**2
Let t(j) be the first derivative of 1/210*j**5 + 1 + 0*j**4 + 1/2*j**2 + 0*j - 1/21*j**3. Let o(z) be the second derivative of t(z). Factor o(c).
2*(c - 1)*(c + 1)/7
Let d(u) be the second derivative of -8*u**7/147 + 4*u**6/35 + 3*u**5/28 + u**4/42 + 18*u. Determine x, given that d(x) = 0.
-1/4, 0, 2
Factor -12/5*u**2 + 4/5*u**4 - 4/5*u + 4/5*u**3 + 8/5.
4*(u - 1)**2*(u + 1)*(u + 2)/5
Let y(d) be the third derivative of d**6/200 + d**5/50 + d**4/40 - 15*d**2. Factor y(o).
3*o*(o + 1)**2/5
Let w be (-2)/7 - (-16)/7. Let 2*r**4 + 9*r**3 - w*r**2 - 9*r**3 + r**5 - r = 0. Calculate r.
-1, 0, 1
Let h be (-4)/18*(84/8)/(-7). What is d in h*d**2 + 2/3 - d = 0?
1, 2
Let h(f) be the first derivative of -f**8/1344 + f**7/280 - f**6/160 + f**5/240 + f**2/2 - 3. Let n(o) be the second derivative of h(o). Factor n(j).
-j**2*(j - 1)**3/4
Factor -6 + 2*v + 10/3*v**2 + 2/3*v**3.
2*(v - 1)*(v + 3)**2/3
Let s(m) be the third derivative of -m**6/360 + m**5/20 - 3*m**4/8 + 3*m**3/2 - 2*m**2. Find g such that s(g) = 0.
3
Let 0 - 1/11*j**4 + 1/11*j**5 - 3/11*j**3 + 1/11*j**2 + 2/11*j = 0. Calculate j.
-1, 0, 1, 2
Let k(h) be the third derivative of 0*h**4 + 0*h + 0*h**7 + 1/1008*h**8 - 1/120*h**6 + 0 + 4*h**2 + 1/90*h**5 + 0*h**3. Solve k(s) = 0.
-2, 0, 1
Let l(o) = 6*o**2 + 4. Let b be l(3). Suppose -b = -2*f + 4*t, 5*f + t = 13 + 77. Suppose 32*z**2 - f*z**2 + 98*z**3 + 29*z**2 - 48*z + 8 = 0. What is z?
-1, 2/7
Factor 47 - 47 - 5*t - 2*t**4 + 12*t**4 + 5*t**5 - 10*t**2.
5*t*(t - 1)*(t + 1)**3
Let m be (42/35)/((-2)/(-5)). Let n be m/(-12)*16/(-6). Solve -z + 4*z**2 - n - 7/3*z**3 = 0 for z.
-2/7, 1
Factor 25*d + 13*d - 2*d - 36*d**2 + 8 - 8*d.
-4*(d - 1)*(9*d + 2)
Let d(w) = 2*w + 2. Let k(s) = s**2 - 5*s + 6. Let p be k(4). Let u(r) = 7 + 6*r + 4*r + 3*r - 5*r + r**2. Let f(j) = p*u(j) - 9*d(j). Solve f(b) = 0 for b.
-1, 2
Let f be -2 + -3 - (-248)/48. Let h(t) be the first derivative of f*t**3 + 3 + t - 3/4*t**2. Factor h(g).
(g - 2)*(g - 1)/2
Let h(k) be the first derivative of k**8/2520 + k**7/1260 - k**6/540 - k**5/180 - k**3/3 + 1. Let n(p) be the third derivative of h(p). Solve n(i) = 0 for i.
-1, 0, 1
Suppose 3*r + 2*x = -2*r + 36, -4*x = 4*r - 36. Suppose -a = -o, -2*o + 2*a = -3*a + r. Suppose o*f**2 + 0*f**4 + f**2 - f - 4*f**4 = 0. What is f?
-1, 0, 1/2
Let s(n) be the first derivative of n**6/12 - n**5/5 - n**4/4 + 4*n**3/3 - 7*n**2/4 + n - 9. Factor s(a).
(a - 1)**4*(a + 2)/2
Let s be (-14)/(-77) + 1/55. Let 1/5*x + 2/5 - s*x**2 = 0. Calculate x.
-1, 2
Let f(v) = 10*v. Let a be f(1). Suppose 6*p - p - a = 0. Find z, given that 2*z + p*z**3 + 2 - 4*z**2 - 2 = 0.
0, 1
Suppose 0*s = 3*s, -s - 8 = -4*h. Suppose 4*o - 23 = -7*w + 2*w, 5*o + h = 4*w. What is g in 3/4*g**o - 5/4*g + 1/2 = 0?
2/3, 1
Factor -4/3*d**3 + 0*d - 14/3*d**4 + 0*d**2 + 0.
-2*d**3*(7*d + 2)/3
Let b be (1/2)/(7/42). Factor -h**4 - 16*h**2 - 5*h**3 - 17*h**2 - 40*h - 16 - h**3 - 4*h**b.
-(h + 1)**2*(h + 4)**2
Let a(k) be the first derivative of -1/33*k**3 - 3 + 0*k**2 + 1/110*k**5 + k + 0*k**4. Let n(s) be the first derivative of a(s). Suppose n(d) = 0. What is d?
-1, 0, 1
Suppose 10*t = 4*t + 24. Factor -2/3*s**3 - 1/3 + 0*s**2 + 1/3*s**t + 2/3*s.
(s - 1)**3*(s + 1)/3
Let r = 162 - 160. Factor -3/4*b + 4*b**r - 1/2 + b**4 - 15/4*b**3.
(b - 2)*(b - 1)**2*(4*b + 1)/4
Let k be (-1 - (-248)/168) + (-1)/7. Factor -k*s + 1/3*s**2 + 0.
s*(s - 1)/3
Let p = 6 + -2. Determine k so that k**3 + k - 5*k**4 - 4*k**3 + 3*k**p = 0.
-1, 0, 1/2
Let h be 22/8 - 4/(-16). Let a(d) = d**3 - 7*d**2 - d + 10. Let m be a(7). Factor f**m - 4*f**h + f**3 + 2*f.
-2*f*(f - 1)*(f + 1)
Let i(o) be the third derivative of o**5/60 + 6*o**2. Suppose i(s) = 0. What is s?
0
Let s(b) = -b**4 + b**3 + 4*b**2 - 2*b. Let o(j) = -3*j**4 + j**3 + 9*j**2 - 5*j. Let m(c) = -6*o(c) + 15*s(c). What is a in m(a) = 0?
-2, -1, 0
Let u(k) = -13*k**3 + 3*k**2 - 30*k + 7. Let t(z) = -7*z**3 + z**2 - 15*z + 3. Let r(i) = 11*t(i) - 6*u(i). Let r(b) = 0. Calculate b.
1, 3
Factor -4/5*l + 4/5*l**5 + 0*l**3 + 8/5*l**4 + 0 - 8/5*l**2.
4*l*(l - 1)*(l + 1)**3/5
Let v(f) be the third derivative of 1/75*f**7 - 2/15*f**3 + 0 - 6*f**2 + 1/10*f**5 + 0*f - 1/60*f**4 - 19/300*f**6. Factor v(c).
2*(c - 1)**3*(7*c + 2)/5
Let t(f) be the first derivative of 2*f**6 - 32*f**5/5 + 7*f**4 - 8*f**3/3 - 8. Solve t(x) = 0.
0, 2/3, 1
Suppose -6 = 5*g - 4*a, 0 = 2*g + 4*a + 8 - 28. Let o be (4 - (6 - g))/(-1). Suppose o*w - 2/7*w**3 + 0 + 4/7*w**4 - 2/7*w**5 + 0*w**2 = 0. What is w?
0, 1
Suppose -4*q + 2 = -5*t - 1, 2*t = 2. Let 6*d**3 - q*d**3 - 2*d**3 = 0. What is d?
0
Let c be (-9)/(-12) - (-27)/12. Let t(l) be the third derivative of 2/15*l**5 + 3*l**2 + 0*l - 5/12*l**4 + 1/3*l**c + 0. What is k in t(k) = 0?
1/4, 1
Let y(v) = v**3 + 55*v**2 - 295*v + 495. Let i(d) = 2*d**3 + 54*d**2 - 294*d + 494. Let f(j) = -5*i(j) + 6*y(j). Factor f(b).
-4*(b - 5)**3
Let f(i) be the third derivative of i**6/160 + i**5/40 + i**4/32 - 19*i**2. Solve f(g) = 0.
-1, 0
Let g(d) be the second derivative of -d**5/5 + 7*d**4/3 - 10*d**3 + 18*d**2 + 5*d + 2. Determine b so that g(b) = 0.
1, 3
Suppose -4*i + 5 = 3*j - 8, -4*j - 5*i + 17 = 0. Let b be 12/8*4/j. Factor 4*k**2 - k**4 - 4*k**b.
-k**4
Let c(h) be the third derivative of -h**7/840 + h**6/360 - h**3/2 + 2*h**2. Let q(l) be the first derivative of c(l). Solve q(k) = 0.
0, 1
Let u(y) be the third derivative of y**5/20 - y**4/4 - y**2. Solve u(b) = 0 for b.
0, 2
Let q(g) = -2*g + 2. Let o be q(0). Let i(k) be the second derivative of 0 - 1/18*k**4 + 1/30*k**5 + 0*k**o + 0*k**3 + 2*k. Factor i(x).
2*x**2*(x - 1)/3
Let z(k) be the second derivative of k**4/84 - 2*k**3/21 + 2*k**2/7 + 8*k. Factor z(w).
(w - 2)**2/7
Let j(s) be the second derivative of -5*s**4/12 + 25*s**3/6 - 10*s**2 - 19*s. Solve j(k) = 0.
1, 4
Suppose 0 = 17*o - 28*o + 22. Suppose -2/11*j - 4/11 + 2/11*j**3 + 4/11*j**o = 0. Calculate j.
-2, -1, 1
Factor -3/7*x**3 + 0 - 6/7*x + 9/7*x**2.
-3*x*(x - 2)*(x - 1)/7
Let f = -2 + 4. Solve 5*d**3 - 2*d**3 + f*d**2 - 3*d**2 - 2*d**2 = 0 for d.
0, 1
Let s(t) = -t**3 + 9*t**2 - 8*t. Let n(k) = 2*k**3 - 22*k**2 + 20*k. Let w(l) = 5*n(l) + 12*s(l). Determine a so that w(a) = 0.
-2, 0, 1
Let z be ((8/75)/(-8))/((-4)/10). Let g(i) be the second derivative of -z*i**6 + 0*i**4 - 2*i + 0 + 0*i**3 + 0*i**5 + 0*i**2. Let g(f) = 0. Calculate f.
0
Suppose 23*m - 33 - 13 = 0. Suppose 0*t + 0*t**m + 1/3*t**3 - 1/3*t**4 + 0 = 0. What is t?
0, 1
Let g(b) = 11*b