0?
-13, -2
Suppose -7*p = -5*p - 6. Suppose 2*s - 13 = -3. Factor -s*g**2 + 1 - 6*g - g**2 - 2*g**p - 3.
-2*(g + 1)**3
Suppose 1 = 5*c + 5*o + 11, -2*c - 12 = -2*o. Let j be 7/((-84)/5) + (-3)/c. Find r, given that 0 + 1/9*r**2 + j*r = 0.
-3, 0
Suppose -o = -4*v + 37 - 42, -v - 20 = -4*o. Let d be (1 + 0)/((-10)/(-8)). Factor 0 + 1/5*t**2 - d*t**3 + t**4 - 2/5*t**5 + v*t.
-t**2*(t - 1)**2*(2*t - 1)/5
Let b(i) be the third derivative of i**8/112 - 3*i**7/56 + 7*i**6/80 - 144*i**2. Factor b(s).
3*s**3*(s - 2)*(4*s - 7)/4
Factor 0 + 3/5*v**3 - 1/5*v**4 + 1/5*v**2 - 3/5*v.
-v*(v - 3)*(v - 1)*(v + 1)/5
Factor -160*g + 48*g + 40248*g**2 - 64 - 40297*g**2.
-(7*g + 8)**2
Let q = -40 - -10. Let x be -1 - (-11)/6 - (-10)/q. Factor -1/2*d + 0 + 0*d**2 + x*d**3.
d*(d - 1)*(d + 1)/2
Factor -69*n**2 + 237/2*n - 21 + 15/2*n**3.
3*(n - 7)*(n - 2)*(5*n - 1)/2
Let v = -40/37 + 718/185. Determine f, given that -1/5*f**2 - 49/5 - v*f = 0.
-7
Let k(w) be the third derivative of w**6/24 + 313*w**5/12 + 121675*w**4/24 - 123245*w**3/6 - 36*w**2 + 2. Factor k(g).
5*(g - 1)*(g + 157)**2
Factor 124 + 9*k**2 - 4*k**2 + 343 + 110*k + 138.
5*(k + 11)**2
Let h = 3733/52 + -930/13. Let m(p) be the first derivative of 1/12*p**3 + 1/4*p**2 + h*p - 6. Factor m(w).
(w + 1)**2/4
Let k = -36 + 48. Suppose -z - z + k = 0. Factor -8*l + z*l - l**3 - 6*l + 5*l**2 + 4.
-(l - 2)**2*(l - 1)
Suppose 5*a = 38*u - 35*u + 30, 0 = -2*u - 10. Find d, given that 31/3*d**a - 56/3*d**5 - d**2 + 10*d**4 - 2/3*d + 0 = 0.
-1/2, -1/4, 0, 2/7, 1
Let s = 373/8 - 361/8. Find w such that s*w**2 + 3/2 - 3*w = 0.
1
Let m(l) be the first derivative of -9/2*l**4 + 23/2*l**2 - 5/6*l**6 - 22/5*l**5 + 6*l + 16/3*l**3 + 14. Let m(v) = 0. Calculate v.
-3, -1, -2/5, 1
Let s(w) = -7*w - 48. Let p be s(-14). Let i = p - 248/5. Factor 0 + i*j**2 + 2/5*j.
2*j*(j + 1)/5
Let f(j) be the third derivative of 2*j**7/21 + j**6/24 + j**2 + 52. Let f(r) = 0. Calculate r.
-1/4, 0
Suppose 0 = 4*j + 2*r - 8, -19 = -3*j - r + 6*r. Determine a, given that 8*a**3 - 6 - 8*a**4 + 9*a**3 + 38*a**2 - 27*a**j - 6*a - 8*a = 0.
-3, -1/4, 1
Suppose 3*n = c - 5*c - 97, -3*c + 59 = -2*n. Let q = n + 31. Determine r so that 0*r**2 - 1/4*r**4 + q*r + 0 - 1/2*r**3 = 0.
-2, 0
Let b(f) be the second derivative of f**5/120 - f**4/4 + 5*f**3/3 + 50*f**2/3 - 50*f. Factor b(a).
(a - 10)**2*(a + 2)/6
Suppose -87*w = -86*w - 12. Let h be (w/(-4))/(45/(-20)). Factor 0*n + h*n**3 + 0 - 2/3*n**4 - 2/3*n**2.
-2*n**2*(n - 1)**2/3
Let a(x) = x**3 + 6*x**2 + 3*x - 8. Let i be a(-6). Let k be 1/2*i/(-39). Find z such that 0 + 0*z - k*z**2 = 0.
0
Let y(c) be the second derivative of 0 - 1/10*c**5 - 3*c**3 + 4*c**2 + c**4 + 18*c. Determine n, given that y(n) = 0.
1, 4
Factor -3/7*j**3 + 171/7*j - 15/7*j**2 - 297/7.
-3*(j - 3)**2*(j + 11)/7
Let p(l) = -l**2 - 20*l - 19*l + l**3 + 39*l. Let s(j) = -26*j**3 + 36*j**2 + 8*j. Let a(q) = 12*p(q) + s(q). Factor a(u).
-2*u*(u - 2)*(7*u + 2)
Let w(g) be the third derivative of 0*g + 1/60*g**6 - 1/30*g**5 - 9*g**2 + 0*g**3 + 0 - 1/6*g**4. Factor w(o).
2*o*(o - 2)*(o + 1)
Let h(t) be the first derivative of 2*t - 2 - 3/5*t**6 + 0*t**2 + 2/3*t**3 - 1/5*t**5 + 3/2*t**4. Let n(z) be the first derivative of h(z). Factor n(j).
-2*j*(j - 1)*(j + 1)*(9*j + 2)
What is i in 9*i**4 - 15*i**3 + 457*i**2 - 2*i**5 - 450*i**2 + 0*i**3 + i**5 = 0?
0, 1, 7
Let l = -34622 + 34624. Factor 0*h + 0 + 1/8*h**4 - 3/8*h**l + 1/4*h**3.
h**2*(h - 1)*(h + 3)/8
Let t(y) be the first derivative of -3*y**4/20 - 119*y**3/5 - 134. Factor t(r).
-3*r**2*(r + 119)/5
Let s(m) be the third derivative of -m**6/6 + 7*m**5/4 - 25*m**4/24 - 88*m**2. Factor s(n).
-5*n*(n - 5)*(4*n - 1)
Let b(w) = w**2 + 7*w - 14. Let s be b(-10). Suppose -18*o = -20*o + s. Suppose 24*l**3 - 3 + l**4 + 51 + 2*l**4 + 80*l**2 + 96*l - o*l**2 = 0. Calculate l.
-2
Let v(y) be the third derivative of y**5/10 - 15*y**4/28 + 2*y**3/7 - 13*y**2 + 19. Factor v(n).
6*(n - 2)*(7*n - 1)/7
Let i(x) = -x**2 - x. Let b(s) = -6*s**2 + 2*s - 10. Let r(p) = -b(p) + 5*i(p). Let m(n) = -2*n**2 + 7*n - 11. Let l(v) = 2*m(v) + 3*r(v). Solve l(j) = 0.
-8, 1
Let o(i) be the second derivative of 2*i + 4/225*i**6 - 27 + 2/45*i**4 - 1/45*i**3 - 1/25*i**5 - 1/315*i**7 + 0*i**2. Factor o(f).
-2*f*(f - 1)**4/15
Let k(l) be the first derivative of 5*l**4/12 - 20*l**3/9 - 55*l**2/6 - 10*l + 129. Solve k(x) = 0.
-1, 6
Suppose -22/9*l + 2/9*l**5 + 4/3*l**4 - 4/3 + 0*l**2 + 20/9*l**3 = 0. What is l?
-3, -2, -1, 1
Let z(k) be the first derivative of -2*k**6/3 - 24*k**5/5 - 11*k**4 - 8*k**3/3 + 24*k**2 + 32*k + 158. Factor z(s).
-4*(s - 1)*(s + 1)*(s + 2)**3
Let f(m) = m**2 + 2*m + 2. Suppose -9*c + 5*c = 0. Let u be f(c). Factor -59*d + 4*d**2 - 2*d**4 + 4*d**3 - 2*d**5 - u + 0*d**3 + 57*d.
-2*(d - 1)**2*(d + 1)**3
Let m(n) be the first derivative of 9 + 1/36*n**6 + 0*n + 0*n**3 - 1/30*n**5 + 0*n**2 + 0*n**4. Factor m(c).
c**4*(c - 1)/6
Let c(z) be the second derivative of -z**7/252 - z**6/60 + z**5/24 + 3*z**4/8 + 8*z**3/9 + z**2 + 2*z - 7. Find s such that c(s) = 0.
-2, -1, 3
Let r be 3 + (1 - 3) + 1. Let b(u) = u. Let p be b(r). Factor -74*s**2 - s + 11*s + 26*s + 12 - 36*s**3 + 17*s**p.
-3*(s + 2)*(3*s - 2)*(4*s + 1)
Let a(x) be the third derivative of 13*x**5/5 - 20*x**4/3 + 2*x**3/3 + 74*x**2 + x. Factor a(q).
4*(q - 1)*(39*q - 1)
Let 22846*b - 22862*b - 3*b**2 + 4*b**2 + b**2 - 6*b**2 = 0. Calculate b.
-4, 0
Let d(z) be the second derivative of 2/21*z**7 - 4/3*z**3 - 23*z + 0*z**2 + 0 - 2/5*z**6 + 1/5*z**5 + z**4. Solve d(q) = 0.
-1, 0, 1, 2
Suppose -15*h + 4*j = -13*h - 22, 0 = -5*h - 2*j + 7. Let -7/3*b**4 - 2/3*b**2 + 0 + 0*b - 3*b**h = 0. What is b?
-1, -2/7, 0
Let i(u) be the second derivative of -u**5/140 - u**4/42 - u**3/42 + 561*u. Let i(b) = 0. Calculate b.
-1, 0
Let q(d) = 2*d + 14. Let l be q(-6). Let a be 1 + 1 + -1 + l. Find f, given that 10*f + 5*f**4 - f**4 + 0*f**3 + 18*f**2 + 14*f**a + 2 = 0.
-1, -1/2
Suppose -324*b**2 + 107 + 45 + 320*b**2 + 68*b = 0. What is b?
-2, 19
Let m(z) be the second derivative of -z**5/5 + 2*z**4/3 - 6*z - 3. Factor m(s).
-4*s**2*(s - 2)
Let t(k) = 4*k + 30. Let c be t(-7). Let x be (c - 21/9)*-4. Find n, given that -4/3*n + n**2 + x*n**3 - 1 = 0.
-1, -3/4, 1
Let u(i) be the second derivative of 2*i**2 + 0 - 1/3*i**4 - 24*i + 0*i**3. Factor u(k).
-4*(k - 1)*(k + 1)
Let q = 402/583 - -2/53. Let a be 0*(1 + -3 + 3). Factor a + q*f**2 + 12/11*f**3 + 8/11*f**4 + 2/11*f**5 + 2/11*f.
2*f*(f + 1)**4/11
Let b(x) = -4*x + 1 - x**3 - 5*x**2 - 8*x + 2*x - 10. Let i(m) = -4*m**3 - 16*m**2 - 30*m - 28. Let f(p) = -20*b(p) + 6*i(p). Factor f(u).
-4*(u - 3)*(u + 1)**2
Let k be ((-6)/(-12))/((-1)/(-2 + 4)). Let h be k/1*48/(-44). Factor -6/11 + 20/11*n - 2/11*n**4 + h*n**3 - 24/11*n**2.
-2*(n - 3)*(n - 1)**3/11
Let r = 151 - 146. Suppose 5*u = r, 4*u = -z - 0*z + 6. Solve 8/7*q**z + 4/7*q + 0*q**3 - 4/7*q**5 + 0 - 8/7*q**4 = 0 for q.
-1, 0, 1
Let v(p) = -20*p**2 - 190*p - 1265. Let b(i) = i**2 + 2*i - 1. Let x(d) = -15*b(d) - v(d). Solve x(k) = 0.
-16
Let w(z) = -z**2 + z + 1. Let k(n) be the first derivative of 5*n**3/3 - 4*n**2 - 2*n + 5. Let b(m) = k(m) + 2*w(m). Find o, given that b(o) = 0.
0, 2
Let v = 194 + -234. Let r be (0/(-2))/((-10)/(v/(-12))). Solve 2/9*q**3 + r + 0*q + 0*q**2 = 0 for q.
0
Let v(h) = 0 - h**4 + 4 - 7*h**2 + 5*h - 23*h**3 - 4 - 5. Let x(m) = -12*m**3 - 3*m**2 + 3*m - 3. Let r(o) = -3*v(o) + 5*x(o). Factor r(s).
3*s**2*(s + 1)*(s + 2)
Let 7*j**2 + 51561*j + 41*j**2 - 51605*j - 4*j**3 = 0. Calculate j.
0, 1, 11
Let c = -48302 + 724967/15. Let l = -29 + c. Factor 0*z**2 - l*z**3 + 0*z + 0.
-2*z**3/15
Let d(y) = -4*y**3 + 196*y**2 + 398*y + 200. Let t(f) = -9*f**3 + 391*f**2 + 794*f + 399. Let h(w) = -5*d(w) + 2*t(w). Suppose h(s) = 0. Calculate s.
-1, 101
Let g(r) = -r**3 - r**2 - r. Let k(w) be the third derivative of -w**7/210 + w**6/24 + w**5/15 + w**4/6 - 2*w**2. Let f(z) = 4*g(z) + k(z). Factor f(q).
-q**3*(q - 1)
Let v = 24 + -12. Suppose -4*k + 8*k - v = 0. Factor -4*g - g**k - 2*g**2 + 5*g**2 + 2*g**3.
g*(g - 1)*(g + 4)
Let c(f) be the first derivative of -2/11*f**2 + 25 + 1/22*f**4 + 0*f + 2/33*f**3. Factor c(x).
2*x*(x - 1)*(x + 2)/11
Let c(v) be the second derivative of -v**7/24 + 43*v**6/60 - 9*v**5/2 + 41*v**4/3 - 62*v**3/3 + 12*v**2 - 7*