 = 0.
-1, 0
Let i = 1/12 + 1/4. Let l(d) be the first derivative of i*d**3 + 1/2*d**2 + 3 + 0*d. Factor l(k).
k*(k + 1)
Let r(u) be the second derivative of -u**4/66 + u**3/33 + 2*u**2/11 + 9*u. Factor r(f).
-2*(f - 2)*(f + 1)/11
Let n = 5 + 0. Suppose -4*h + 7 - 29 = -n*k, 0 = 2*k + 2*h + 2. Determine s, given that -5*s**2 + 4*s + s**2 - k + 2*s**2 = 0.
1
Let d be ((-12)/(-5))/(2/5). Let q be d/(-8)*(0 + -4). Factor 4/3 - 4/3*f**2 + 2/3*f**q - 2/3*f.
2*(f - 2)*(f - 1)*(f + 1)/3
Let r(l) = -l**3 + 33*l**2 - 87*l - 88. Let u be r(30). Let c be 1 - ((-3)/(-5))/1. Factor 0*d**u + 0 + c*d**3 - 2/5*d.
2*d*(d - 1)*(d + 1)/5
Let b = 7 - 5. Let p = 4 - b. Find a such that -2 + p*a**2 + 4*a + 0*a - 3*a + 1 = 0.
-1, 1/2
Let k = 2792/3627 - 2/3627. Factor -34/13*s**2 + k*s**3 - 8/13 + 32/13*s.
2*(s - 2)*(s - 1)*(5*s - 2)/13
Let o(s) be the second derivative of 1/100*s**5 + 1/60*s**4 + 0 + 3*s - 1/10*s**2 - 1/30*s**3. Find r such that o(r) = 0.
-1, 1
Let l = 154/15 + 12/5. Let x = -242/21 + l. Factor 2/7*i**4 + x*i**3 + 0*i + 0 + 8/7*i**2.
2*i**2*(i + 2)**2/7
Let i = 40 + -20. Let l be 0 - 0 - i/(-25). Factor 2/5*b**5 - l*b**3 + 2/5*b + 0*b**4 + 0 + 0*b**2.
2*b*(b - 1)**2*(b + 1)**2/5
Let c(h) be the first derivative of 3*h**4/32 - h**3/8 - 3*h**2/16 + 3*h/8 - 1. Factor c(n).
3*(n - 1)**2*(n + 1)/8
Let k be (-5 - -8)/((-3)/63). Let i = 253/4 + k. Factor i*x**3 + 0 - 1/4*x**2 + 0*x.
x**2*(x - 1)/4
Let j(c) be the first derivative of 5*c**4/38 - 14*c**3/57 - c**2/19 + 6*c/19 - 10. Determine y, given that j(y) = 0.
-3/5, 1
Let d(v) be the third derivative of -1/24*v**4 + 0*v - 2*v**2 + 0 + 1/9*v**3 + 1/180*v**5. What is l in d(l) = 0?
1, 2
Find y such that -36/13*y**3 - 2/13*y**5 - 6/13 - 44/13*y**2 - 14/13*y**4 - 2*y = 0.
-3, -1
Let c(d) be the first derivative of -d**5/10 + d**3/6 - 3. Factor c(t).
-t**2*(t - 1)*(t + 1)/2
Let y(g) be the third derivative of g**6/720 + g**5/120 + g**4/48 + 2*g**3/3 - g**2. Let k(i) be the first derivative of y(i). Suppose k(c) = 0. Calculate c.
-1
Suppose 5 - 5 = -5*b. Factor 2/5*s**2 + b - 2/5*s.
2*s*(s - 1)/5
Find c, given that 1/6*c + 1/6*c**2 + 0 = 0.
-1, 0
Let t be -3*(1 - (-48)/(-9)). Suppose 2*y - 5*r + t = 44, 3*y = -3*r - 6. Factor d - y*d**4 + 6*d**3 + 4*d**2 + 5*d**4 + d**5 + 2*d**4.
d*(d + 1)**4
Let j(p) be the second derivative of p**7/21 - p**6/15 - p**5/10 + p**4/6 + 8*p. Factor j(x).
2*x**2*(x - 1)**2*(x + 1)
Solve 3 + 3*x**2 - 27/2*x - 6*x**4 + 27/2*x**3 = 0.
-1, 1/4, 1, 2
Let c(g) = 6*g**3 - 6*g**2 - 4*g + 2. Let m(l) = -7*l**3 + 7*l**2 + 4*l - 1. Let a(v) = 3*c(v) + 2*m(v). Suppose a(f) = 0. Calculate f.
-1, 1
Suppose -2*n - 3*o - 10 = -4, 4*o + 1 = -5*n. Let k(q) = 2*q - 6. Let b be k(5). Factor 3*s + 8*s**b + 8 + 29*s - 22*s**n + 0*s**2 - 6*s**2.
2*(s - 2)**2*(s + 1)*(4*s + 1)
Let f(b) be the second derivative of -b**4/27 - 14*b**3/27 - 4*b**2/3 - 3*b. Factor f(v).
-4*(v + 1)*(v + 6)/9
Let v(o) be the first derivative of o**5/30 + o**4/6 + o**3/3 + 2*o**2 - 2. Let a(g) be the second derivative of v(g). Find c, given that a(c) = 0.
-1
Let p(m) be the first derivative of -m**6/2 - 21*m**5/5 - 12*m**4 - 12*m**3 - 32. Factor p(b).
-3*b**2*(b + 2)**2*(b + 3)
Suppose 5*w - 6*w - 2 = 0, -5*g + 2 = 4*w. Solve -2/9*k**g - 2/9 - 4/9*k = 0 for k.
-1
Let 0 - 2/7*f**2 + 2/7*f = 0. Calculate f.
0, 1
Let y(z) be the third derivative of z**5/150 + z**4/30 - z**2. Solve y(g) = 0 for g.
-2, 0
Let d = -29 - -59/2. Suppose a + 4*b = 7, -7*b + 13 = 3*a - 3*b. Let 3/2*v**2 - d*v**a - 3/2*v + 1/2 = 0. Calculate v.
1
Let l(f) be the third derivative of f**6/1140 - f**5/114 - f**4/228 + 5*f**3/57 + 3*f**2 - 15*f. Suppose l(z) = 0. Calculate z.
-1, 1, 5
Let r(s) be the first derivative of 2 + 0*s - 4/3*s**3 - 1/3*s**6 - 8/5*s**5 + 0*s**2 - 5/2*s**4. Suppose r(g) = 0. Calculate g.
-2, -1, 0
Let l(h) be the second derivative of h**6/165 + 3*h**5/55 + 2*h**4/11 + 10*h**3/33 + 3*h**2/11 + 3*h. Factor l(g).
2*(g + 1)**3*(g + 3)/11
Suppose -27 = 3*c + 3. Let s = -7 - c. Factor a**4 - 2*a**2 - 8 + 8 - a**s.
a**2*(a - 2)*(a + 1)
Factor 14*u**4 - 27*u**4 + 9*u**4 - 4*u**3.
-4*u**3*(u + 1)
Let x(s) be the second derivative of -s**4/6 - 14*s**3/3 - 13*s**2 + 35*s. Let x(f) = 0. Calculate f.
-13, -1
Suppose 4*t = 2*o - 26, 0*o + 5*o + 5*t = 5. Let a(b) be the second derivative of -1/10*b**o + 0*b**2 + b + 0*b**3 + 0 + 1/30*b**4. Factor a(c).
-2*c**2*(5*c - 1)/5
Let i(z) be the first derivative of -4*z**3/3 + 2*z**2 - 7. Factor i(v).
-4*v*(v - 1)
Let s(a) be the first derivative of -a**5 - 71*a**4/12 - 46*a**3/9 - 4*a**2/3 - 30. Suppose s(x) = 0. What is x?
-4, -2/5, -1/3, 0
Let d(m) = m**5 + m**4 - m**3 - m**2 - m - 1. Let g(c) = -3*c**5 - 3*c**4 + 3*c**3 + 3*c**2 + 6*c + 6. Let k(b) = -6*d(b) - g(b). Let k(w) = 0. What is w?
-1, 0, 1
Let a(q) be the third derivative of q**6/120 + q**5/12 + q**4/8 - 3*q**3/2 - 46*q**2. Factor a(u).
(u - 1)*(u + 3)**2
Suppose 3*y - 1411 = -1402. Determine c so that -3/4*c**2 - 1/4*c**y - 1/4 - 3/4*c = 0.
-1
Let k(f) be the second derivative of -f**4/36 - f**3/18 + 8*f. Factor k(c).
-c*(c + 1)/3
Let c(i) = -3*i**2 - 5*i - 2. Let f(r) = -1 - 26*r - 4 - 16*r**2 - 5. Let b be 11*3/(6/4). Let z(h) = b*c(h) - 4*f(h). Factor z(s).
-2*(s + 1)*(s + 2)
Let h(u) = 144*u**2 + 273*u - 207. Let j(r) = -11*r**2 - 21*r + 11 + 11 - 6. Let y(m) = -2*h(m) - 27*j(m). Solve y(d) = 0.
-3, 2/3
Let t(u) be the second derivative of u**6/105 - 3*u**5/70 + u**4/42 + u**3/7 - 2*u**2/7 - 34*u. Factor t(r).
2*(r - 2)*(r - 1)**2*(r + 1)/7
Let m(u) = -2*u**4 + 11*u**3 + 4*u**2 - 11*u + 9. Let o(g) = g**3 - g + 1. Let q(i) = -2*m(i) + 22*o(i). Factor q(a).
4*(a - 1)**2*(a + 1)**2
Let y = 689/4 + -325/2. Solve y*m - 18*m**2 + 27/4*m**3 - 3/2 = 0.
1/3, 2
Let y(o) be the first derivative of -2*o**3/3 + o**2 + 4*o + 7. Factor y(u).
-2*(u - 2)*(u + 1)
Let r = -148 + -2. Let o be (-245)/r - 1/(-6). Solve 6/5*m - 1/5*m**2 - o = 0 for m.
3
Let q(b) = -24*b**4 + 9*b**3 + 63*b**2 + 24*b - 15. Let u(h) = 0 - h**3 + h**4 + 2 - 1. Let m(g) = -q(g) - 3*u(g). Determine l, given that m(l) = 0.
-1, 2/7, 2
Suppose 9 = 4*n + 1. Let y = -37 + 39. Let 2*i - 2*i + y*i**n - 2*i - 7 + 3 = 0. What is i?
-1, 2
Let s be ((-1)/(-8))/((-45)/(-12)). Let z(m) be the third derivative of 0*m + 4*m**2 + 0 + 1/50*m**5 - 1/15*m**3 + s*m**4. Solve z(j) = 0 for j.
-1, 1/3
Let z be (-6 + 6)*1/3. Factor 1/3*p**2 + z - 2/3*p**3 + 0*p + 1/3*p**4.
p**2*(p - 1)**2/3
Let -6/5 - 26/5*q - 8/5*q**2 = 0. What is q?
-3, -1/4
Let b(j) be the second derivative of -j**5/50 + j**3/15 + 6*j. Factor b(x).
-2*x*(x - 1)*(x + 1)/5
Let d(g) be the first derivative of -g**6/6 - g**5 - 7*g**4/4 + g**3/3 + 4*g**2 + 4*g - 1. Factor d(q).
-(q - 1)*(q + 1)**2*(q + 2)**2
Suppose -4/5 + 8/5*w - 4/5*w**2 = 0. What is w?
1
Let k(h) = h**2 - 2. Let i be k(-2). Factor 4*y - 6*y**i - 4*y + 2*y.
-2*y*(3*y - 1)
Let a(v) be the second derivative of v**5/10 - v**4/2 - 5*v. Determine z so that a(z) = 0.
0, 3
Suppose -3/4*r**2 + 15/4*r + 0 = 0. Calculate r.
0, 5
Let i = -6 + 8. Let y(k) = -k + 22. Let d be y(13). Factor -m**2 + m**i + d*m**3 - 7*m**3.
2*m**3
Let x = 12 - 3. Factor 25*h + 29*h**3 + 72*h**2 + 14*h**4 + 31*h**3 - x*h.
2*h*(h + 2)**2*(7*h + 2)
Solve -31*i**2 - 6*i + 0*i - 8*i + 13*i**2 + 4 = 0 for i.
-1, 2/9
Suppose 2*g - 5*v + 1 = 0, 4*g + 7*v = 2*v + 13. Let -3/5 - 13/5*j**g - j**3 - 11/5*j = 0. What is j?
-1, -3/5
Factor 10/9*i**2 + 2/9*i**5 + 0 - 2/3*i**3 - 4/9*i - 2/9*i**4.
2*i*(i - 1)**3*(i + 2)/9
Let u = -2 + 4. Let c**2 - 2*c**u + 0*c**2 = 0. Calculate c.
0
Suppose 1 = w - 2. Suppose -5*r - 3*m + 40 = 0, m = -4*r + 7 + 18. What is v in -3*v + 4*v + 5 - r - v**w = 0?
-1, 0, 1
Factor -9/5*d**2 - 3 + 3/5*d**3 - 27/5*d.
3*(d - 5)*(d + 1)**2/5
Let i(n) be the second derivative of 6*n**6/5 - 4*n**4/3 + 3*n. Factor i(d).
4*d**2*(3*d - 2)*(3*d + 2)
Let i(w) be the first derivative of -w**6/720 - w**5/240 - w**3/3 - 3. Let m(a) be the third derivative of i(a). Let m(s) = 0. Calculate s.
-1, 0
Let p(w) be the second derivative of 1/15*w**5 - 5/63*w**7 + 0 + 1/15*w**6 + 0*w**2 + 10*w + 0*w**4 + 0*w**3. Solve p(q) = 0.
-2/5, 0, 1
Factor -1/4*p**2 + 7/4*p - 3/2.
-(p - 6)*(p - 1)/4
Factor -1/8*u**5 + 0 + 0*u**2 + 0*u**3 - 1/2*u**4 + 0*u.
-u**4*(u + 4)/8
Let q(l) be the first derivative of -l**7/2940 + l**6