= 0. Calculate l.
1, 2
Factor 0*c**2 - 2/7*c + 2/7*c**3 + 0.
2*c*(c - 1)*(c + 1)/7
Let w(b) be the second derivative of b**7/14 + b**6/10 - 3*b**5/20 - b**4/4 - 3*b. Determine c so that w(c) = 0.
-1, 0, 1
Let p(i) = i**2 - 1. Let m(q) = -5*q**2 - 8*q - 12. Let y(h) = 3*m(h) + 12*p(h). Suppose y(j) = 0. What is j?
-4
Let j be (-4326)/90 - 4/(-6). Let w = j - -48. Solve 9/5*s**4 + 0 + w*s**5 + 0*s**3 - 12/5*s**2 + 0*s = 0.
-2, 0, 1
Let x(d) be the first derivative of -d**7/210 + d**6/25 - 9*d**5/100 - 6*d - 5. Let c(f) be the first derivative of x(f). Let c(j) = 0. Calculate j.
0, 3
Solve 0 + 4*s**2 - 16/7*s**3 - 6/7*s = 0.
0, 1/4, 3/2
Let u = -14 + 8. Let a = u + 11. What is m in 4*m**3 + 2/3*m**a + 0 + 2/3*m + 8/3*m**2 + 8/3*m**4 = 0?
-1, 0
Determine g so that -5/4*g**5 + 5/2 - 5*g**2 + 5/2*g**3 - 5/4*g + 5/2*g**4 = 0.
-1, 1, 2
Let r be -2*((-7)/2 - 1). Let m(a) = -a + 11. Let o be m(r). Find c, given that -o*c**2 + 2*c - c**2 - 8*c**4 - c**2 - 14*c**3 = 0.
-1, 0, 1/4
Let m(b) = -11*b**4 + 5*b**3 + 20*b**2 - 20*b + 6. Let l(v) = 12*v**4 - 5*v**3 - 20*v**2 + 20*v - 7. Let y(w) = -6*l(w) - 7*m(w). Factor y(o).
5*o*(o - 2)*(o - 1)*(o + 2)
Solve -2/3*j + 2/3*j**3 - 2/3*j**2 + 2/3 = 0.
-1, 1
Let b = -2/45 + 7/45. Let f(m) be the third derivative of 0*m + 0 + 1/180*m**5 + 3*m**2 - b*m**3 - 1/120*m**6 + 1/24*m**4 + 1/630*m**7. Factor f(x).
(x - 2)*(x - 1)**2*(x + 1)/3
Let w(i) be the first derivative of i**6/18 - i**5/15 - i**4/6 + 2*i**3/9 + i**2/6 - i/3 + 7. Find d, given that w(d) = 0.
-1, 1
Factor -4*k - 55*k**2 + 6*k + 53*k**2.
-2*k*(k - 1)
Let d be 0/((-2)/(-1) + -6). Let k(o) be the third derivative of o**2 + 1/12*o**4 + d*o**3 + 1/30*o**5 + 0*o + 0. Suppose k(a) = 0. What is a?
-1, 0
Let m(b) be the third derivative of 1/15*b**5 - b**2 + 0*b**3 + 0 + 0*b**4 + 1/12*b**6 + 0*b. Find l such that m(l) = 0.
-2/5, 0
Let x be 6/15*(-2 + -8). Let l(o) = o + 8. Let b be l(x). Factor 1/5*r**2 + 0*r + 0 - 3/5*r**3 + 2/5*r**b.
r**2*(r - 1)*(2*r - 1)/5
Let k(f) = -12*f**3 - 18*f**2 - 40*f - 14. Let h(a) = a**3 + a. Let d(x) = -10*h(x) - k(x). Let d(p) = 0. What is p?
-7, -1
Let o be -1 + (-3 - (-2 - 5)). Suppose -f + 8 = 3*d, -f - o = -d - 7. Determine r so that 1/4*r**2 + 1/4*r**f + 3/4*r**3 + 3/4*r**4 + 0 + 0*r = 0.
-1, 0
Let a(j) be the second derivative of -j**7/14 + 3*j**5/10 - j**3/2 + 9*j. Solve a(b) = 0 for b.
-1, 0, 1
Let t(d) be the first derivative of -d**3/24 + d**2 - 8*d - 62. Factor t(l).
-(l - 8)**2/8
Let f = -130 - -261/2. Let -1/4*o**2 - 1/4*o + f = 0. What is o?
-2, 1
Suppose 0 = -2*h + 2*f - 6, -2*f + 5*f - 17 = -h. Let d(z) = z**2 + 5*z + 4. Let u be d(-5). What is r in -4*r + 2 - 2*r**3 + 2*r - h*r**3 - 2*r**u + 6*r = 0?
-1, 1
Let n(l) be the third derivative of -l**7/630 - l**6/60 - l**5/15 + 3*l**4/8 - l**2. Let s(y) be the second derivative of n(y). Factor s(m).
-4*(m + 1)*(m + 2)
Factor o**3 + 3*o**2 - 871*o + 871*o.
o**2*(o + 3)
Let a be 21/11 - (-6)/66. Determine z so that 0*z**3 + 1/3*z**4 + 0*z + 0 - 1/3*z**a = 0.
-1, 0, 1
Let c = -589 + 26509/45. Let s(r) be the third derivative of -2/9*r**3 + 2*r**2 - c*r**5 - 7/36*r**4 + 0*r + 0 - 1/60*r**6. Factor s(u).
-2*(u + 1)**2*(3*u + 2)/3
Let j(g) be the second derivative of 2*g**7/21 - g**6/30 - 4*g. Solve j(i) = 0.
0, 1/4
Suppose -j + 4 = j, -3*q + 13 = -j. Let l(y) be the third derivative of 0 + 0*y - 2*y**2 - 1/15*y**q + 1/6*y**3 - 1/8*y**4. Factor l(u).
-(u + 1)*(4*u - 1)
Factor 7*g + 4*g**3 - 5*g**2 + 0*g**3 - 3 - 3*g**3.
(g - 3)*(g - 1)**2
Let j = 227 + -657. Let b = j + 1301/3. Factor -4/3*r**3 - b*r + 13/3*r**2 + 2/3.
-(r - 2)*(r - 1)*(4*r - 1)/3
Let j = 2/571 + 1128/3997. Determine a, given that j*a**2 - 4/7*a + 2/7 = 0.
1
Suppose -2 = -2*y + 2. Suppose -10*r + 81 = 51. Factor -1/5*q + 1/5 - 1/5*q**y + 1/5*q**r.
(q - 1)**2*(q + 1)/5
Let t be 5/2 + 7 + -9. Let y(p) be the first derivative of -1 - t*p**2 + 1/3*p**3 + 0*p. Factor y(w).
w*(w - 1)
Suppose 0 = 3*q - 7*y + 2*y + 25, 0 = 2*y - 10. Let p(c) be the second derivative of 0 - c - 1/12*c**4 + 1/20*c**5 + q*c**2 + 0*c**3. Find a such that p(a) = 0.
0, 1
Let a(j) be the third derivative of j**5/15 - 12*j**2. Factor a(u).
4*u**2
Let p(u) be the second derivative of u**10/45360 - u**8/10080 + u**4/12 - 3*u. Let t(z) be the third derivative of p(z). Let t(m) = 0. What is m?
-1, 0, 1
Suppose 4*z - g = 12, 2*z + g + 0 - 6 = 0. Suppose 2*j + 3*j = -4*i + 11, -z*i - 5*j = -7. Factor -2 - i*r**3 - 4*r**3 - 4*r**4 + 2*r**4 - 12*r**2 - 8*r.
-2*(r + 1)**4
Let x(o) be the second derivative of o + 0 + 0*o**2 - 1/54*o**4 - 1/27*o**3. Factor x(a).
-2*a*(a + 1)/9
Let n be (-30)/(-14) - 2/14. Let f(k) be the second derivative of 1/9*k**3 + 2*k + 0 + 1/36*k**4 + 1/6*k**n. Let f(g) = 0. Calculate g.
-1
Let r(c) = 3*c**4 - c**3 + c - 3. Let t(n) = -n**4 + 1. Let o(x) = -6*r(x) - 21*t(x). Solve o(k) = 0 for k.
-1, 1
Let j(a) = -a**3 + a - 1. Let x(k) = 4. Let o(b) = -4*j(b) - x(b). Suppose o(z) = 0. What is z?
-1, 0, 1
Let s be 1/(-3)*(-2 + -1). Let r be 0 + 2/s + 1. Determine u, given that 14/5*u**4 + 0*u + 2/5*u**2 - 2*u**r - 6/5*u**5 + 0 = 0.
0, 1/3, 1
Let l(a) be the second derivative of a**6/165 - a**5/22 + 3*a**4/22 - 7*a**3/33 + 2*a**2/11 + 6*a. Factor l(f).
2*(f - 2)*(f - 1)**3/11
Let g(w) be the first derivative of w**4 + 4*w**3 + 6*w**2 + 4*w - 25. Determine d, given that g(d) = 0.
-1
Let p(s) be the third derivative of -s**11/748440 - s**10/226800 - s**9/272160 - s**5/60 + 3*s**2. Let j(h) be the third derivative of p(h). Factor j(x).
-2*x**3*(x + 1)*(2*x + 1)/9
Let q(t) = -t + 0*t - 1 + 0*t. Let c be q(-9). Factor -10*d**2 - d**4 + 4*d + c*d**3 + 0*d**2 - d**4.
-2*d*(d - 2)*(d - 1)**2
Let z(v) = 4*v**3 + 24*v**2 - 12*v - 16. Let r(x) = -x**2 + x. Suppose -5*k + 4 = 9. Let p(d) = k*z(d) - 12*r(d). Let p(m) = 0. What is m?
-2, 1
Let a(x) = -x**2 + 4*x + 3. Let m(o) = -3*o**2 + 11*o + 8. Let d(i) = 8*a(i) - 3*m(i). Factor d(y).
y*(y - 1)
Let f(m) = m**3 - m**2 + 19*m + 5. Let s(v) = 3*v**3 - 3*v**2 + 39*v + 9. Let n(r) = 9*f(r) - 4*s(r). Factor n(k).
-3*(k - 3)*(k + 1)**2
Let q(g) = -2*g**3 + 3*g**2 - 4*g - 3. Suppose -2*c = 2*c - 8. Suppose c*m - 6 = -0*m. Let d(s) = s**2 + 1. Let t(l) = m*d(l) + q(l). Factor t(k).
-2*k*(k - 2)*(k - 1)
Factor 3/2*t**2 + 0*t - 2 - 1/2*t**3.
-(t - 2)**2*(t + 1)/2
What is a in 3*a - 3*a - 2*a**3 - a**5 + 3*a**3 = 0?
-1, 0, 1
Let d = -5 - -8. Suppose -z + 5*z = -5*k + 9, k + d*z + 7 = 0. Find a such that 2*a**2 - 9*a**5 + 0*a**3 + 5*a**k + 10*a**4 - 8*a**3 = 0.
0, 1/2, 1
Let u(d) be the second derivative of -d**5/60 + d**4/4 - 4*d**3/3 + 8*d**2/3 - 9*d. Find f, given that u(f) = 0.
1, 4
Factor 1/4 + 2*q + 3/2*q**3 + 13/4*q**2.
(q + 1)**2*(6*q + 1)/4
What is o in 3*o**2 - 2*o**3 - 2*o**3 + 149 + 3*o - 148 + 5*o**3 = 0?
-1
Let a(i) = 2*i - 6. Let q be a(7). Suppose q*n = 5*n - 3*d + 15, -25 = -2*n - 5*d. Factor 0*c + n + 1/3*c**2.
c**2/3
Suppose r = 5*r - 24. Suppose -p = -5*f + 25, 5*p - 5*f = -r*f + 5. Find a such that 1/2*a - 3/2*a**2 + p = 0.
0, 1/3
Let h(v) be the second derivative of -v**4/12 - v**3/3 + 4*v. Solve h(z) = 0 for z.
-2, 0
Let z(w) be the second derivative of -w**4/30 + w**3/5 - 2*w**2/5 + 2*w. Factor z(s).
-2*(s - 2)*(s - 1)/5
Let b be ((-12)/(-18))/(2/6) - -4. Let j(t) be the first derivative of -1/20*t**4 - 3 + 0*t**3 - 1/30*t**b + 0*t - 2/25*t**5 + 0*t**2. Factor j(i).
-i**3*(i + 1)**2/5
Let t(n) be the first derivative of 5*n**3/3 - 5*n**2 + 5*n + 14. Factor t(s).
5*(s - 1)**2
Let f(c) be the first derivative of 2*c**3/57 + 24*c**2/19 + 288*c/19 - 17. Factor f(h).
2*(h + 12)**2/19
Let q(i) be the first derivative of 0*i**2 + 1/6*i**3 + 1/4*i**6 - 1 + 1/8*i**4 + 0*i - 1/2*i**5. Let q(x) = 0. What is x?
-1/3, 0, 1
Let k(p) be the second derivative of p**8/1680 + p**7/1260 - p**6/360 - p**4/6 + 2*p. Let d(q) be the third derivative of k(q). Find z, given that d(z) = 0.
-1, 0, 1/2
What is y in 4/9*y**2 + 0 - 2/9*y**3 + 0*y = 0?
0, 2
Suppose 12 = -2*k + 5*k. Suppose 1 + f + 2*f**3 - 3*f + 3*f**4 - k*f**4 = 0. What is f?
-1, 1
Let r(d) be the first derivative of -1/2520*d**6 - 1 + 0*d**2 + 0*d + 1/56*d**4 - 2/3*d**3 + 1/420*d**5. Let j(w) be the third derivative of r(w). Factor j(a).
-(a - 3)*(a + 1)/7
Let w(g) be the first derivative of g**7/70 + 3*g**6/40 + g**5/10 - 3*g**2 + 1. L