that c(r) = 0.
-2, -1, 0, 1
Let i be (36/50)/(657/7665). Factor i*b + 16/5*b**2 + 36/5 + 2/5*b**3.
2*(b + 2)*(b + 3)**2/5
Let w = 333 + -1651/5. Let m(i) = i**2 - i + 3. Let h be m(0). Solve -32/5*q**2 + w*q**4 + 2*q**h + 0 + 8/5*q = 0.
-2, 0, 2/7, 1
Let 14/5*v + 4/5 - 8/5*v**2 = 0. What is v?
-1/4, 2
Let l(r) = 2*r**2 + 18*r - 11. Let b(g) = -g**2 - 4*g + 3. Let s(t) = 9*b(t) + 2*l(t). Suppose s(k) = 0. What is k?
-1, 1
Suppose 6 = 3*s - 9. Suppose 0 = 2*f - c - 28, -s*c - 6 - 74 = -5*f. Factor -12*x**4 - 3*x - 5*x**3 - x - f*x**2 + 24*x**4 + 9*x**5.
x*(x - 1)*(x + 1)*(3*x + 2)**2
Suppose 2*h + 2 = 0, -5*h = 5*z + 2 - 7. Let y(q) = 2*q**2 - q - 4. Let x be y(z). Suppose -12*j - 4*j**x + 2*j**2 + 0*j**2 + 10*j = 0. What is j?
-1, 0
Let z(f) be the third derivative of 0*f + 20*f**2 - 4/15*f**5 + 0*f**3 - 1/60*f**6 - 4/3*f**4 + 0. Factor z(p).
-2*p*(p + 4)**2
Let h(i) be the second derivative of 1/8*i**2 + 1/80*i**5 - 1/48*i**4 - 3*i - 1/24*i**3 + 0. Find o such that h(o) = 0.
-1, 1
Let l(w) be the first derivative of 21*w**2 - 7 + 1/16*w**4 + 25/12*w**3 + 36*w. Factor l(s).
(s + 1)*(s + 12)**2/4
Let g be (-7)/(-3) - (-15 + 16). Let s(c) be the second derivative of 0*c**2 + 0 - c - 1/5*c**5 + g*c**3 + 1/3*c**4. Factor s(l).
-4*l*(l - 2)*(l + 1)
Let g(h) = -2*h**3 - h**2 + 1. Let d(n) = n**4 + 6*n**3 + 42*n**2 + 54*n + 3. Let u(f) = -4*d(f) + 12*g(f). Find o, given that u(o) = 0.
-6, -3, 0
Let o(y) be the second derivative of -343/4*y**2 + 0 - 7/8*y**4 - 1/40*y**5 - 49/4*y**3 + 16*y. Find p, given that o(p) = 0.
-7
Let i(d) = -d**3 - d**2 + d + 2. Let h(l) = 34*l**3 + 254*l**2 + 246*l + 28. Let y(w) = -h(w) + 2*i(w). Factor y(n).
-4*(n + 1)*(n + 6)*(9*n + 1)
Let o(u) be the second derivative of -11*u**5/80 - 15*u**4/32 - u**3/2 - u**2/16 + u - 10. Factor o(h).
-(h + 1)**2*(22*h + 1)/8
Let j(k) = 25*k**3 + 15*k**2 - 45*k + 25. Let c(p) = 14*p**3 + 8*p**2 - 22*p + 12. Let l(s) = -5*c(s) + 3*j(s). What is a in l(a) = 0?
-3, 1
Let x = 189 - 755/4. Factor -1 - 5/4*p - x*p**2.
-(p + 1)*(p + 4)/4
Let 0 - 2/9*f**5 - 2/3*f**4 + 2/3*f**2 + 4/9*f - 2/9*f**3 = 0. Calculate f.
-2, -1, 0, 1
Let f(x) be the third derivative of -841*x**5/90 - 58*x**4/9 - 16*x**3/9 + 37*x**2 - 5. Let f(a) = 0. What is a?
-4/29
Let l(t) = t + 3. Let q be l(12). Suppose -a = -3*g + 2*g - 6, -3*a + 2*g + q = 0. Factor -4/3 + 17/3*s**2 + 23/3*s**4 + 35/3*s**a - 4/3*s + 5/3*s**5.
(s + 1)**3*(s + 2)*(5*s - 2)/3
Let b(c) be the third derivative of 0*c**3 + 0*c + 0 + 1/48*c**6 + 1/24*c**5 - 5/24*c**4 - 5*c**2. Factor b(i).
5*i*(i - 1)*(i + 2)/2
Let d = -198 - -198. Let f(w) be the third derivative of 1/100*w**6 + 0*w**3 + 1/525*w**7 + 0*w + 0 + 4*w**2 + d*w**4 + 1/75*w**5. Find c, given that f(c) = 0.
-2, -1, 0
Let u = 8366/5 + -1673. Let b(j) be the first derivative of 0*j**2 - 1/9*j**3 - 1/4*j**4 + 0*j - u*j**5 + 1 - 1/18*j**6. Suppose b(g) = 0. What is g?
-1, 0
Let n be 72/70 - (-12)/30. Suppose -y + 4 = 2. Factor -4/7 + 6/7*f**y - n*f.
2*(f - 2)*(3*f + 1)/7
Let s(a) be the second derivative of a**5/100 + a**4/20 - 2*a**3/15 - 6*a**2/5 + a - 980. Factor s(c).
(c - 2)*(c + 2)*(c + 3)/5
Let r(q) = q**3 - 4*q - 15. Let a be r(3). Suppose -5/4 + a*w + 5/4*w**2 = 0. What is w?
-1, 1
Let s = 908 + -2279/2. Let y = 232 + s. Factor -1 - 3/2*v - y*v**2.
-(v + 1)*(v + 2)/2
Let g be (-32)/14*(-119)/34. Let d(r) be the second derivative of 0*r**2 - 1/12*r**4 + 1/90*r**6 + g*r - 1/9*r**3 + 0*r**5 + 0. Factor d(u).
u*(u - 2)*(u + 1)**2/3
Let c(w) = -14*w**2 + 99*w - 3. Let f(v) = 60*v**2 - 395*v + 13. Let n(h) = 26*c(h) + 6*f(h). Factor n(g).
-4*g*(g - 51)
Let c be (2/(-27))/((-12)/36). Let p(i) be the first derivative of -c*i - 1/9*i**4 + 3 - 1/27*i**6 - 4/27*i**3 + 2/15*i**5 + 1/3*i**2. Factor p(b).
-2*(b - 1)**4*(b + 1)/9
Suppose 3 = l, 2*u = -3*l + 62 - 53. Suppose 15/7*t**2 + 1/7*t**4 + 9/7*t + u + t**3 = 0. Calculate t.
-3, -1, 0
Let r be 25/100*(-48)/(-18). Determine d, given that r*d**4 + 0*d + 4/3*d**3 + 0 + 0*d**2 = 0.
-2, 0
Factor 39*o - 5*o**2 + 4376 - 4296 + 36*o.
-5*(o - 16)*(o + 1)
Let j(c) be the first derivative of c**6/1440 - c**5/120 - 5*c**4/96 - 19*c**3/3 - 16. Let x(i) be the third derivative of j(i). Factor x(h).
(h - 5)*(h + 1)/4
Let t(x) be the second derivative of x**4/90 + 4*x**3/15 + 4*x**2/3 - 77*x. Find o, given that t(o) = 0.
-10, -2
Let o be (-13)/(-26)*(-1)/16. Let w = o + 131/96. Solve -w*x + 2 + 2/9*x**2 = 0.
3
Suppose 2*g**4 - 10*g**2 - 2*g - 16*g**2 - 4*g - 8*g**2 + 24*g**2 - 2*g**3 = 0. Calculate g.
-1, 0, 3
Let v(o) be the second derivative of 0 - 6*o - 1/7*o**4 - 2/7*o**2 + 2/7*o**3 + 1/35*o**5. Suppose v(k) = 0. Calculate k.
1
Let o(y) = -38*y + 1066. Let s be o(28). Let -6 - 3/2*q**s + 3/2*q**5 + 15/2*q**4 + 21/2*q**3 - 12*q = 0. Calculate q.
-2, -1, 1
Let d(q) = -2*q**2 + 31*q - 157. Suppose -2*a - 2*c + 10 = 0, 5*a - a - 26 = -2*c. Let w(x) = -3*x**2 + 46*x - 235. Let o(g) = a*d(g) - 5*w(g). Solve o(l) = 0.
9
Let f(i) = -2*i**3 + 3*i**2 - 2*i + 3. Let o be f(2). Let n(p) = p. Let u(t) = 21*t**2 - 64*t + 18. Let r(v) = o*n(v) + u(v). Let r(c) = 0. Calculate c.
2/7, 3
Determine z so that -52*z**5 + 10*z + 9*z**4 - 2*z**4 - 7*z**2 + 26*z**5 + 25*z**5 - 9*z**3 = 0.
-1, 0, 1, 2, 5
Let i(k) be the third derivative of -k**5/360 - k**4/72 + k**3/12 + 96*k**2. Factor i(w).
-(w - 1)*(w + 3)/6
Let b(w) = -8*w**2 + 28*w + 21. Let m(z) = 95*z**2 - 335*z - 255. Let p(d) = -35*b(d) - 3*m(d). Find j such that p(j) = 0.
-1, 6
Let b(g) be the third derivative of g**6/180 + g**5/90 - g**4/6 - 12*g**2 + 7*g. Factor b(n).
2*n*(n - 2)*(n + 3)/3
Let c be 14/10 - 21/(-35). Determine a, given that -30*a**2 - 26*a**c + 5 + 5*a**4 + 46*a**2 = 0.
-1, 1
Suppose -2*s - 1 = -7. What is f in -5*f**s - 3*f**2 + 21*f**3 + 2*f**3 = 0?
0, 1/6
Let p(f) be the first derivative of 38416*f**5/5 + 8232*f**4 + 3528*f**3 + 756*f**2 + 81*f - 14. Factor p(o).
(14*o + 3)**4
Factor -t**2 - 4*t**5 + 3*t - 9*t**5 - 9*t**5 + 23*t**5 + 3*t**2 - 2*t**4 - 4*t**3.
t*(t - 3)*(t - 1)*(t + 1)**2
Let y be (4/(120/9))/((-10)/(-75)). Let i = y + -3/4. Factor -s + 0 - 1/2*s**3 + i*s**2.
-s*(s - 2)*(s - 1)/2
Let o(u) be the third derivative of u**5/90 + 19*u**4/9 + 1444*u**3/9 - 2*u**2 + 38. Factor o(v).
2*(v + 38)**2/3
Suppose -8*l + 26 = 5*l. Let v be (1/((-1)/(-3)))/1. Factor -9*g + 2 + 7*g**l - 2*g**v - 3*g**2 + 3*g + 2*g**2.
-2*(g - 1)**3
Let v be 51/60 - (-357)/(-595). Factor 1/2*i + 3/4 - v*i**2.
-(i - 3)*(i + 1)/4
Let s be 2/(8/(-18)) - (-1)/(-2). Let c be s*(23/36 + 36/(-48)). Let 0 + 0*r - 2/9*r**2 - c*r**3 + 7/9*r**4 = 0. What is r?
-2/7, 0, 1
Suppose 8*v - 4 = 7*v. Let 6*f + 1 + 12*f**2 - 288*f**3 - 274*f**3 + 572*f**3 + 3*f**v = 0. What is f?
-1, -1/3
Let k(g) be the third derivative of -g**7/945 - 17*g**6/135 - 289*g**5/45 - 4913*g**4/27 - 83521*g**3/27 + 7*g**2. Factor k(a).
-2*(a + 17)**4/9
Let n(y) be the second derivative of y**5/5 - 32*y**4/3 - 2*y**3/3 + 64*y**2 - 550*y. Factor n(c).
4*(c - 32)*(c - 1)*(c + 1)
Let s(w) be the first derivative of -2*w**6/105 + w**5/35 + 4*w**4/21 - 8*w**3/21 + 15*w - 14. Let p(l) be the first derivative of s(l). Factor p(j).
-4*j*(j - 2)*(j - 1)*(j + 2)/7
Let 4*c**3 + 5808*c + 0*c**3 + 55981 - 13389 + 264*c**2 = 0. What is c?
-22
Find v, given that -1/5*v**2 - 62/5*v - 961/5 = 0.
-31
Factor 44/9 - 10*y + 16/3*y**2 - 2/9*y**3.
-2*(y - 22)*(y - 1)**2/9
Let n(c) be the first derivative of -c**8/14280 + c**7/7140 + c**6/3060 - c**5/1020 + 3*c**3 - 2. Let z(f) be the third derivative of n(f). Factor z(l).
-2*l*(l - 1)**2*(l + 1)/17
Suppose -485*h = -462*h - 46. Let o(w) be the second derivative of -4*w + 1/54*w**4 + 4/27*w**3 + 0 + 4/9*w**h. Factor o(n).
2*(n + 2)**2/9
Let u = -14 + 23. Suppose 27 = 3*t + y, y - u = -t - y. Suppose 3 - t*b**3 + 21*b**2 + 4*b - 14*b - 5*b = 0. Calculate b.
1/3, 1
Factor -64 + 2*p**4 - 43*p + 143*p - 3108*p**3 + 3076*p**3 - 6*p**2.
2*(p - 16)*(p - 1)**2*(p + 2)
Let i be (-264)/594*1/(-2). Let i*l**2 + 0 + 8/9*l = 0. Calculate l.
-4, 0
Suppose -2*n + 4*p = 14 - 6, -4*n + 2*p - 10 = 0. Let u be 38/8 + n/(-8). Factor -2*c - 8*c**2 - 6*c + 2*c + 2*c - u*c**3 - c**4.
-c*(c + 1)*(c + 2)**2
Suppose 252*g - 21 = 245*g. Let r(h) be the third derivative of 0*h**g + 0*h**6 - 3*h**2 + 0*h - 5/672*h**8 + 1/210*h**7 + 0*h**4 + 0*h**5 + 0. Factor 