 - 1)**4*(o + 1)/5
Suppose 2*x + 1 = -7, 9 = -r - 3*x. Suppose 4*m = 4*f - 15 + r, -3 = 3*f + m. Find o such that -4/9*o**2 + 0*o + 2/9*o**4 + f*o**3 + 2/9 = 0.
-1, 1
Let l(p) be the second derivative of -p + 0 + 9/2*p**2 + 1/12*p**4 + p**3. Factor l(a).
(a + 3)**2
Suppose -6 = -7*s + 4*s. Suppose -4*a = -f - 10, -s = 3*f - 8. Let 0 + 2/7*y + 2/7*y**a + 4/7*y**2 = 0. Calculate y.
-1, 0
Let i be (32/(-24))/(4/(-6)). Suppose 2*t - 4*t**2 + 4*t**2 - t**3 - 3*t + 2*t**i = 0. Calculate t.
0, 1
Let z(x) be the second derivative of x**4/4 + x**3 - 5*x. Determine p, given that z(p) = 0.
-2, 0
Let n = 644/39 + -102/13. Let c = 9 - n. Factor -c*w**2 + 0*w + 1/3.
-(w - 1)*(w + 1)/3
Factor -4/5*n**5 + 4/5*n**3 + 4/5*n**4 + 0 - 4/5*n**2 + 0*n.
-4*n**2*(n - 1)**2*(n + 1)/5
Let j(s) be the second derivative of -s**6/135 + s**5/18 - s**4/18 - s**3/3 - 38*s. Find d such that j(d) = 0.
-1, 0, 3
Let v(y) = -y**2 - 4*y + 3. Let s be v(-6). Let i be (s/15)/(4/(-5)). What is k in -i*k**2 - 1/2 - 5/4*k = 0?
-1, -2/3
Let n(p) = -30*p**4 - 30*p**3 + 39*p**2 + 21. Let a(j) = 3*j**4 + 3*j**3 - 4*j**2 - 2. Let o(s) = 21*a(s) + 2*n(s). Find x such that o(x) = 0.
-2, 0, 1
Let j = 44 + -42. Suppose 2*s - 4*o = 20, 4*s + s + 3*o = 11. Find z, given that -z**j + s*z - 4*z = 0.
0
Let a(j) be the third derivative of j**7/840 - j**6/240 + j**4/24 + j**2. Let w(k) be the second derivative of a(k). Let w(l) = 0. Calculate l.
0, 1
Suppose 4*r + 0*r = -5*t + 7, 0 = 2*r + 4*t - 2. Factor r + 0*x - 3*x**2 + 3 - x - 2*x.
-3*(x - 1)*(x + 2)
Let d(z) be the second derivative of 1/15*z**6 + 0*z**2 - 1/6*z**4 - 1/30*z**5 + 0 - 5*z + 2/9*z**3 - 1/63*z**7. Suppose d(q) = 0. Calculate q.
-1, 0, 1, 2
Let z = 112 - 110. Let b + 9/2*b**z + 0 + 7/2*b**3 = 0. Calculate b.
-1, -2/7, 0
Let j(b) be the first derivative of -1/6*b**6 - 4 + 3/5*b**5 + 1/3*b**3 - 3/4*b**4 + 0*b**2 - 3*b. Let w(s) be the first derivative of j(s). Factor w(y).
-y*(y - 1)**2*(5*y - 2)
Suppose 8*p - 4*p**2 + 3*p**2 - 1 + 5 + 5*p**2 = 0. What is p?
-1
Factor 10*c**3 - 2*c**5 + 3*c**4 + 8*c**5 - 17*c**4 - 2*c**2.
2*c**2*(c - 1)**2*(3*c - 1)
Let r(w) be the second derivative of w**7/5040 - w**6/1080 + w**3/6 - 5*w. Let m(d) be the second derivative of r(d). Factor m(u).
u**2*(u - 2)/6
Suppose -8 = -3*p - p. Let m be 1*(p/(-2) - -3). Factor 7/4*u**3 - u - m*u**2 + 5/4*u**4 + 0.
u*(u - 1)*(u + 2)*(5*u + 2)/4
Let x(j) be the second derivative of 3*j**5/40 + 5*j**4/8 + 3*j**3/4 - 27*j**2/4 - 44*j. Let x(g) = 0. Calculate g.
-3, 1
Suppose -5 = -2*u + 1. Find m such that 3*m**2 - m**2 - m**4 - 2*m**4 - 9*m**u - 8*m**2 = 0.
-2, -1, 0
Let t = -195 - -195. Let z(r) be the second derivative of 0 + t*r**2 - 1/9*r**3 - 3*r - 1/18*r**4. Factor z(i).
-2*i*(i + 1)/3
Let n = 15 + -11. Let c be n/15 - 20/(-50). Factor 1/3 + 0*y**2 - 1/3*y**4 - c*y**3 + 2/3*y.
-(y - 1)*(y + 1)**3/3
Let n(s) be the second derivative of -2/15*s**6 + 1/10*s**5 + 0*s**2 - s + 0*s**3 + 1/6*s**4 + 0. Factor n(r).
-2*r**2*(r - 1)*(2*r + 1)
Let d(h) be the first derivative of -h**4/4 + 4*h**3/3 - 3*h**2/2 + h + 15. Let f be d(2). What is j in 6/5*j**f - 9/5*j**4 - 6/5*j - 3/5 + 12/5*j**2 = 0?
-1, -1/3, 1
Suppose -4*f = 5*v - 36, 3*v - 5*f = -0*v - 8. Factor -2/9*y**v - 2/9*y + 2/9*y**3 + 2/9*y**2 + 0.
-2*y*(y - 1)**2*(y + 1)/9
Let a(t) be the first derivative of 5*t**6/6 - 5*t**4/4 - 1. Suppose a(y) = 0. Calculate y.
-1, 0, 1
Suppose 3*u = s - 2 - 1, u - 9 = -3*s. Suppose -4*c + 4 = -4. Let -3 - w**3 - w + s + c*w**2 = 0. What is w?
0, 1
Factor -2*w**2 - 64 - 5*w**2 + 24*w - 6*w**2 + 17*w**2.
4*(w - 2)*(w + 8)
Let w = 1 + 0. Let k(h) be the first derivative of -w - 1/2*h + 1/4*h**2 + 1/6*h**3 - 1/8*h**4. Determine d, given that k(d) = 0.
-1, 1
Let f(s) be the first derivative of s**3/5 + 21*s**2/10 + 18*s/5 - 11. Find l such that f(l) = 0.
-6, -1
Factor -3*l**2 + 30 - 6*l - 5 - 1.
-3*(l - 2)*(l + 4)
Let j(l) be the second derivative of l**4/4 - l**3/3 + 2*l**2 - 5*l. Let p(h) = -h**2 - h. Let u(v) = -3*j(v) - 6*p(v). Factor u(y).
-3*(y - 2)**2
Suppose 7*a + 66 - 178 = 0. Let i = a - 16. Factor 0*o**2 + 0 + 0*o**3 - 2/7*o**5 + 0*o**4 + i*o.
-2*o**5/7
Let g be 365/850 - (-2)/(-5). Let p = 65/102 + g. Factor 2/3*b - 2/3*b**2 + 2/3 - p*b**3.
-2*(b - 1)*(b + 1)**2/3
Let u(i) be the third derivative of -i**7/840 - i**6/480 + i**5/80 + 5*i**4/96 + i**3/12 - 4*i**2. Factor u(j).
-(j - 2)*(j + 1)**3/4
Let 122*i + 3*i**3 - i**3 + 30*i**2 - 128 - 26*i = 0. Calculate i.
-8, 1
Suppose m - 27*k + 11 = -22*k, 0 = -4*m - 3*k + 25. Factor -2/3*a**3 + 0 + 0*a**2 + 1/3*a + 1/3*a**5 + 0*a**m.
a*(a - 1)**2*(a + 1)**2/3
Factor c**5 + 4 + 6*c - 4*c**4 - 14*c + 7*c**3 - 3*c**2 + 4*c**2 - c**4.
(c - 2)**2*(c - 1)**2*(c + 1)
Let w(q) = q**3 + 7*q**2 + q + 9. Let g be w(-7). Let o be (42/(-9))/(-7) + 7/3. Let 1/2*c - 1/2*c**o + 0*c**g + 0 = 0. What is c?
-1, 0, 1
Let s(f) be the first derivative of f**4/42 - f**3/7 + 2*f**2/7 + 2*f + 1. Let g(m) be the first derivative of s(m). Suppose g(r) = 0. Calculate r.
1, 2
Let p(q) = 10*q**4 + 5*q**3 - 25*q**2 - 15*q + 5. Let o(m) = -15*m**4 - 8*m**3 + 37*m**2 + 22*m - 8. Let n(t) = 5*o(t) + 8*p(t). Find w, given that n(w) = 0.
-1, 0, 2
Factor -2*s**3 - 2/3*s - 2/3*s**4 + 0 - 2*s**2.
-2*s*(s + 1)**3/3
Let m(n) be the second derivative of 3*n - n**2 - 7/20*n**5 + 0 + 1/10*n**6 + 1/4*n**4 + 1/2*n**3. Find l, given that m(l) = 0.
-2/3, 1
Suppose 12 = -l + 5*j + 37, 3*l = 2*j + 10. Let i(t) = t + 3. Let f be i(l). Factor -5*c - 8*c**2 + 16/3*c**f - 2/3.
(c - 2)*(4*c + 1)**2/3
Let s(v) be the first derivative of 2/33*v**3 - 6 + 4/11*v - 3/11*v**2. Factor s(k).
2*(k - 2)*(k - 1)/11
Let f = -9 + 12. Let i(d) be the second derivative of 0 + 0*d**2 - 1/18*d**4 - d + 1/9*d**f. Find l, given that i(l) = 0.
0, 1
Let z(c) = c**2 + 4*c + 2. Let d be z(-3). Let l be d*3/6*-4. Determine w, given that -2/9*w**l + 2/9*w + 0 = 0.
0, 1
Let r be (0 - -1)*(-3 + 1). Let h be (r + -1 + 3)/1. Factor h*w**2 + 4*w**3 + 6*w**2 - 5*w**2 - 3*w**2.
2*w**2*(2*w - 1)
Let z(j) be the third derivative of -j**6/1080 + j**5/45 - 2*j**4/9 - j**3/2 - 8*j**2. Let m(p) be the first derivative of z(p). Suppose m(c) = 0. Calculate c.
4
Let r(x) be the first derivative of x**3 + 9*x**2/2 + 6*x - 20. Factor r(t).
3*(t + 1)*(t + 2)
Factor 10*a**2 - 4 + 22*a + 8*a**2 - 36*a.
2*(a - 1)*(9*a + 2)
Suppose -5*s + 3*s + 8 = 0. Let d be 1 - ((-6)/9)/2. Let d*v**s + 2/3*v**5 + 0*v**2 + 2/3*v**3 + 0*v + 0 = 0. Calculate v.
-1, 0
Factor 4*i**4 + 0*i + 16/3*i**2 + 0 - 2/3*i**5 - 8*i**3.
-2*i**2*(i - 2)**3/3
Suppose -6*v + v = 5*b, -4*b = -4*v + 24. Let t be 3/2*4/v. Suppose 4 + 30*z**t + 0 - 13*z - 5*z + 6*z**4 - 22*z**3 = 0. What is z?
2/3, 1
Let g(r) be the second derivative of 0*r**3 + 0 + 0*r**2 - 7*r - 1/70*r**5 + 1/42*r**4. Factor g(m).
-2*m**2*(m - 1)/7
Let b = 3457 + -65698/19. Let o = 132/95 + b. Find p, given that 0*p**2 + 0 - o*p**3 + 3/5*p = 0.
-1, 0, 1
Factor 7/9*n**4 + 0 - 7/9*n**2 - 2/9*n**3 + 2/9*n.
n*(n - 1)*(n + 1)*(7*n - 2)/9
Let v(f) be the second derivative of 3*f**5/80 - f**4/16 - f**3/8 + 3*f**2/8 - 14*f. Let v(t) = 0. Calculate t.
-1, 1
Let a(s) = -s. Let h(u) = -u**2 - 11*u - 8. Let v(b) = -2*a(b) + h(b). Solve v(g) = 0.
-8, -1
Let i(g) be the second derivative of -g**6/40 + 3*g**5/16 - g**4/2 + g**3/2 - 8*g. Let i(a) = 0. What is a?
0, 1, 2
Suppose 0 = 4*r - 8 - 0, 9 = 5*p + 2*r. Let g(a) = -a**3 + a - 1. Let l(v) = -2*v**3 + 4*v**2 + 2*v - 8. Let h(c) = p*l(c) - 4*g(c). Factor h(u).
2*(u - 1)*(u + 1)*(u + 2)
Factor 0 + 1/3*z**2 + z.
z*(z + 3)/3
Let x(q) be the first derivative of -5*q**3/3 + 75*q**2 - 1125*q - 7. Let x(c) = 0. What is c?
15
Factor -5/4*u**3 + 0 + 2*u**2 + u.
-u*(u - 2)*(5*u + 2)/4
Factor 2*k + 7*k**3 - k**2 - 9*k**3 - 20*k**4 - 21*k**3.
-k*(k + 1)*(4*k - 1)*(5*k + 2)
Let z(b) = b**3 + 4*b**2 + b - 3. Let n be z(-2). Let g be (2 + n)/5*3. Factor 15/2*m + 9/2*m**2 - g.
3*(m + 2)*(3*m - 1)/2
Suppose -5 = 2*r + 6*b - b, 2*r + 4 = -4*b. Let y(k) be the first derivative of 4/15*k**3 + r*k + 1/10*k**2 + 1. Factor y(t).
t*(4*t + 1)/5
Let x(s) be the third derivative of s**5/90 - s**4/9 + s**3/3 + 15*s**2. Factor x(w).
2*(w - 3)*(w - 1)/3
Let n(a) be the first derivative of a**7/1260 + a**6/180 + a**5/72 + a**4/72 - a**2/2 - 3. Let v(d) be the second derivative of n(d). Fa