m. Let z be 4/(-18) - 2/(-9). Suppose 0 - 1/5*l**2 + 1/5*l**4 + z*l**3 + m*l = 0. What is l?
-1, 0, 1
Let r be 30/(-3)*52/8. Let m = -37 - r. Suppose -14*z**2 + 1 - 9 - 36*z**2 + 14*z**2 + m*z - 4*z**4 + 20*z**3 = 0. Calculate z.
1, 2
Let m(l) = -l**2 + 25*l + 56. Let o be m(27). Let y be (2 - (4 - 2))/(0 - o). Factor 1/4*s**4 + 0 + 1/4*s**5 + 0*s + y*s**2 - 1/2*s**3.
s**3*(s - 1)*(s + 2)/4
Let n(q) = 199*q - 8555. Let h be n(43). Solve 8/5*g**h - 4/5*g**3 - 24/5 + 4*g = 0 for g.
-2, 1, 3
Solve -5*p + 7*p - 2*p**2 - 13818 + 13842 = 0.
-3, 4
Suppose 0 = -5*d - 3*c + 7, 0 = 3*d + 2*c - 33 + 29. Factor 4/5 + 12/5*x - 16/5*x**d.
-4*(x - 1)*(4*x + 1)/5
Let y(f) be the first derivative of -f**6/240 - f**5/120 + f**4/48 + f**3/12 - 7*f**2 + 5. Let b(q) be the second derivative of y(q). Factor b(d).
-(d - 1)*(d + 1)**2/2
Let u = 25 + -23. Let v(c) be the first derivative of 11/3*c**3 - 1 - 2*c + 9/2*c**u. Let v(r) = 0. Calculate r.
-1, 2/11
Let w(g) be the second derivative of 17/12*g**4 - 6*g**2 + 0 + 22/3*g**3 - 42*g - 1/5*g**5. Determine t, given that w(t) = 0.
-2, 1/4, 6
Let t be (-708)/(-72) - (0 - -9). Let z(f) be the first derivative of 1 + 0*f + t*f**4 + 0*f**2 + 1/9*f**6 - 4/9*f**3 - 8/15*f**5. Solve z(d) = 0 for d.
0, 1, 2
Suppose -87 = -5*o + 18. Suppose -5*f + o = 1. Factor 0*k**2 + 2/3*k**3 - 2/3*k - 1/3 + 1/3*k**f.
(k - 1)*(k + 1)**3/3
Let k(h) = h**2. Let t(m) = -12*m**2 + 4*m**2 + 5*m - 2*m + 6. Let f = -214 - -213. Let r(y) = f*t(y) - 5*k(y). Factor r(q).
3*(q - 2)*(q + 1)
Let n(c) be the first derivative of c**5/20 - 3*c**4/2 - 83. Solve n(k) = 0 for k.
0, 24
Let l(u) = -u + 1. Let v(c) = -18*c**2 - 205*c - 17. Let f(n) = 10*l(n) - 2*v(n). Solve f(i) = 0.
-11, -1/9
Let k(d) = 5*d**2 + 29*d + 22. Let z(j) = -15*j**2 - 86*j - 68. Let n(u) = 11*k(u) + 4*z(u). Factor n(o).
-5*(o + 2)*(o + 3)
Let r(d) be the second derivative of -d**5/50 - 2*d**4/3 - 19*d**3/15 - 2*d - 510. Factor r(t).
-2*t*(t + 1)*(t + 19)/5
Factor 2/5*b**5 + 0 + 0*b + 6*b**2 + 62/5*b**3 + 34/5*b**4.
2*b**2*(b + 1)**2*(b + 15)/5
Let a(n) be the second derivative of -2/105*n**6 + 0 + 0*n**4 + 2/35*n**5 + 0*n**3 - 2/147*n**7 - 8*n + 0*n**2. Factor a(l).
-4*l**3*(l - 1)*(l + 2)/7
Let g(n) be the second derivative of n**7/280 + n**6/60 + 10*n**3/3 - 26*n. Let y(a) be the second derivative of g(a). Find i such that y(i) = 0.
-2, 0
Find w, given that 56*w**2 + 248/11*w - 72/11*w**5 + 574/11*w**3 + 32/11 + 102/11*w**4 = 0.
-1, -2/3, -1/4, 4
Let s = 729/1486 - -7/743. Let 1/2*h**4 + 0*h**2 + h**3 - s - h = 0. Calculate h.
-1, 1
What is c in 3*c + 15/8*c**2 + 3/8*c**3 + 3/2 = 0?
-2, -1
Suppose 4*u + 2 = -5*n + 15, n - 1 = 0. Factor 2/3*c**4 + 0*c**3 + 4/3*c + 0 - u*c**2.
2*c*(c - 1)**2*(c + 2)/3
Let s(k) be the third derivative of -1/84*k**4 - 8*k**2 + 0*k + 0 + 0*k**7 + 1/210*k**6 - 1/1176*k**8 + 0*k**3 + 0*k**5. Factor s(g).
-2*g*(g - 1)**2*(g + 1)**2/7
Let h be 2/(-5)*135/(-24)*30/45. Let 3/2*l**4 + h*l**5 - 3*l**3 - 3*l**2 + 3/2 + 3/2*l = 0. What is l?
-1, 1
Suppose 2*h - 94 = 4*g, 4*h - 3 - 180 = 3*g. Factor 141*o - 53*o + 6 - 52*o - h*o + 3*o**2.
3*(o - 2)*(o - 1)
Let o(f) be the first derivative of 7*f**6/10 - 111*f**5/20 + 31*f**4/4 + 57*f**3/2 - 27*f**2 + 7*f + 2. Let y(r) be the first derivative of o(r). Factor y(a).
3*(a - 3)**2*(a + 1)*(7*a - 2)
Suppose 8*f - 6*f + 4 = 0, 7 = 3*x + f. Factor 2/7*n**5 + 2/7*n**4 + 10/7 - 4*n**x - 38/7*n + 52/7*n**2.
2*(n - 1)**4*(n + 5)/7
Let n(i) be the first derivative of i**4/6 - i**3 + 2*i**2 - 41*i + 12. Let f(y) be the first derivative of n(y). Factor f(j).
2*(j - 2)*(j - 1)
Factor 4/5*v**2 - 2/5*v**4 + 0 + 2/5*v**3 + 0*v.
-2*v**2*(v - 2)*(v + 1)/5
Let x(h) be the first derivative of -9/2*h**2 + h**3 - 14 + 6*h. Factor x(v).
3*(v - 2)*(v - 1)
Let d(z) = 5*z**2 + 83*z + 104. Let t(l) = -5*l**2 - 86*l - 103. Let p(o) = 7*d(o) + 6*t(o). What is n in p(n) = 0?
-11, -2
Let m(h) = h**3 + h**2 + h - 1. Let a be m(-1). Let r(b) = 4*b**3 - 4*b**2 + 2*b. Let j(p) = -8*p**3 + 8*p**2 - 5*p. Let c(t) = a*j(t) - 5*r(t). Factor c(u).
-4*u**2*(u - 1)
Let l be ((-58)/(-87))/((-2)/(-6)). Factor 15*g**l - 775 - 35*g**2 + 52*g - 4*g**3 + 747.
-4*(g - 1)**2*(g + 7)
Let r be 3 + ((-18)/4 - (-3)/(-6)). Let t(m) = 20*m**3 + 25*m**2 - 12*m - 13. Let z(w) = w - 1. Let k(b) = r*z(b) - t(b). Determine j so that k(j) = 0.
-1, 3/4
Suppose -23*m**2 + 4*m**3 - 11*m**2 - 11*m**2 - 37*m - 28 + 97*m + 9*m**2 = 0. Calculate m.
1, 7
Let w(b) be the second derivative of b**5/10 + b**4/3 - 111*b. Suppose w(a) = 0. Calculate a.
-2, 0
Let r be 1 + -2*(-5)/(-10). Suppose 2*u - i - 7 = -3, 2*i + 8 = r. Factor 6 + 3*w**4 - 9*w**2 - 6 + u*w**4 - 6*w.
3*w*(w - 2)*(w + 1)**2
Let y(a) be the second derivative of a**4/30 - 4*a**3/3 + 19*a**2/5 - 284*a. Determine h, given that y(h) = 0.
1, 19
Factor -1909*p**3 + 9*p + 1905*p**3 - 7*p + 2*p**5.
2*p*(p - 1)**2*(p + 1)**2
Let x(z) be the first derivative of -z**6/45 - 4*z**5/25 - 11*z**4/30 - 4*z**3/15 - 333. What is i in x(i) = 0?
-3, -2, -1, 0
Let n(i) be the third derivative of i**7/945 - i**6/540 - i**5/135 + 109*i**2 - 2*i. Factor n(j).
2*j**2*(j - 2)*(j + 1)/9
Let d be (-324 - 2)*(-1)/2. Let h be 105/27 + 3*1/27. Find u, given that d*u**4 + 6*u**2 + 2*u**3 - 2*u + 3 - 7 - 165*u**h = 0.
-1, 1, 2
Let n be ((-64)/(-6))/((-82)/(-12) + -6). Let r = 13 - n. Solve -1/5*y - 1/5 + 2/5*y**3 - r*y**5 + 2/5*y**2 - 1/5*y**4 = 0 for y.
-1, 1
Let p be 1/((-5)/15) + 7. Find n, given that 2/21*n**3 + 2/7*n**2 - 2/21*n - 4/21 - 2/21*n**p = 0.
-1, 1, 2
Let h(a) = 2*a**4 + 6*a**2 - 2*a - 6. Let p(s) = s**4 + 7*s**2 - 3*s - 5. Let q(w) = -5*h(w) + 6*p(w). Factor q(d).
-4*d*(d - 1)**2*(d + 2)
Solve 0 - 1/4*w**2 + 1/8*w**3 - 3*w = 0 for w.
-4, 0, 6
Let n(r) = -1 + 3*r**2 + 0 + 1. Let s be n(-1). Factor u**2 + 2*u**2 + 8*u**s - 5*u**3.
3*u**2*(u + 1)
Let j(b) = -b**2 - 27*b - 138. Let p be j(-20). Suppose -9/4*s - 1/4*s**p - 2 = 0. What is s?
-8, -1
Find v, given that -9*v**2 + 27*v - 384*v**3 - 108*v**5 + 651*v**4 - 11*v + 38*v - 600*v**3 = 0.
-2/9, 0, 1/4, 3
Let x = 21/68 - 1/17. Suppose 4*w = 3*y + 4, 0*w + 3*w - 3 = 5*y. Factor -x*l**5 + 0 + y*l**2 - 1/4*l**4 + 0*l + 1/2*l**3.
-l**3*(l - 1)*(l + 2)/4
Factor 3*q**2 + 427 - 30*q - 27*q - 63*q + 178 + 595.
3*(q - 20)**2
Let j(x) be the first derivative of -2*x**6/15 - x**5/5 + 4*x**4/3 + 8*x**3/3 - 9*x + 5. Let p(o) be the first derivative of j(o). Factor p(t).
-4*t*(t - 2)*(t + 1)*(t + 2)
Let b(t) = 11*t + 5*t**2 - t**3 + 11*t - 13 - 22*t + 3*t. Let i be b(5). Let -2/3*y**3 - 2 + 2*y**i + 2/3*y = 0. What is y?
-1, 1, 3
Let y(r) = -r**3 + 8*r**2 - 6*r - 4. Let g be y(7). Factor 6*b**4 + 3*b**5 + 38*b**g - 38*b**3 - 3*b - 6*b**2.
3*b*(b - 1)*(b + 1)**3
Let a be 15/(225/6) + (-18)/(-105). Determine n so that 0*n + 0 - 2/7*n**4 - 6/7*n**3 - a*n**2 = 0.
-2, -1, 0
Let z = -78671/132 - -596. Let u(a) be the third derivative of z*a**4 - 3*a**2 + 0 + 1/330*a**5 + 0*a**3 + 0*a. Factor u(k).
2*k*(k + 1)/11
Determine f so that 11 - 34 - 122*f**2 - 2*f**4 - 25 + 18*f**2 - 80 + 192*f + 24*f**3 = 0.
2, 4
Let f be (1 - -3 - 4) + 4. Let 0*s + f*s**2 - 6*s + s - 3*s = 0. What is s?
0, 2
Let a(m) be the first derivative of 0*m**2 + 1/12*m**3 - m - 21. Let a(l) = 0. What is l?
-2, 2
Let r be (-7)/((-7)/2) + 3248/(-1622). Let a = 4880/5677 + r. Factor 0 + a*o**3 + 0*o + 6/7*o**4 + 2/7*o**5 + 2/7*o**2.
2*o**2*(o + 1)**3/7
Suppose -4 = -y - 18. Let j(x) = 2*x + 33. Let u be j(y). Determine t, given that 0 + 0*t + 3/4*t**4 - 3/4*t**2 + 3*t**u - 3*t**3 = 0.
-1, -1/4, 0, 1
Factor -22*l**2 + 2/3*l**4 + 0 + 2/3*l**3 + 42*l.
2*l*(l - 3)**2*(l + 7)/3
Let q = 6467 + -32334/5. Let o be -1 - 1*6/(-5). Factor q*u**2 - o + 0*u.
(u - 1)*(u + 1)/5
Let k(b) = b**3 - 9*b**2 - 13*b + 21. Let m be k(12). Let j = -273 + m. Determine o so that j*o**4 + 21/2*o**5 + 3*o**2 + 0*o + 33/2*o**3 + 0 = 0.
-1, -2/7, 0
Let x(o) be the second derivative of 11/21*o**3 - 5/42*o**4 + 0 + 10*o - 2/7*o**2. Factor x(g).
-2*(g - 2)*(5*g - 1)/7
Let n(v) = v**2 - 6*v. Let g(z) = z**2 - 3*z. Suppose -2*k = -k - 2*l, -4*k = l + 9. Let u(b) = k*n(b) + 5*g(b). Factor u(c).
3*c*(c - 1)
Let u(i) be the third derivative of -1/10*i**5 + 0*i + 2/3*i**3 + 1/12*i**4 + 0 + 22*i**2. What is j in u(j) = 0?
-2/3, 1
Let u = 820 - 820. Factor 2/3*s**2 + 0 + u*s.
2*s**2/