 0.
1
Let -1/5*l**4 - 1/5 + 0*l + 0*l**3 + 2/5*l**2 = 0. What is l?
-1, 1
Factor -676*a**3 - 936*a**2 + 508*a - 128 + 5*a - 159*a - 72*a + 486*a.
-4*(a + 2)*(13*a - 4)**2
Let m = 14 - 14. Suppose -3 = 2*c + r - 13, m = -c - 5*r + 23. Suppose l**2 - 4*l**c - 4*l**4 + 2*l + 2*l + 3*l**2 = 0. Calculate l.
-1, 0, 1
Let i(h) be the third derivative of -h**6/360 - h**5/45 + 7*h**4/24 - 157*h**2. Factor i(q).
-q*(q - 3)*(q + 7)/3
Let z = -25 - -16. Let m(p) = -p**3 - 9*p**2 - p + 7. Let s be m(z). Factor 0 + 4 + 4*a**2 + 7*a**3 + a**2 - s*a.
(a - 1)*(a + 2)*(7*a - 2)
Let x(j) be the third derivative of 0 + 1/10*j**6 + 2/3*j**3 - 3*j**2 + 1/6*j**4 - 1/3*j**5 + 0*j. Let x(q) = 0. What is q?
-1/3, 1
Let 24 - 56*r - r**3 - 12*r**2 + 10 + 33*r + 2 = 0. Calculate r.
-9, -4, 1
Let o be -4 - -9 - (2 + -2)/(-1). Suppose -2*w + 1 = -o*f - 3, -f + 4*w = 8. Solve 4/5*y**2 + 32/5*y**4 - 22/5*y**3 + f - 14/5*y**5 + 0*y = 0.
0, 2/7, 1
Let r(w) be the second derivative of -w**4/4 + 5*w**3 + 144*w**2 - 80*w - 4. Factor r(z).
-3*(z - 16)*(z + 6)
Let t(m) = 12*m + 674. Let n be t(-56). Let b(y) be the first derivative of 1/2*y**n + 1/6*y**3 + 1/2*y - 6. Suppose b(s) = 0. What is s?
-1
Let n(i) be the second derivative of i**5/30 - i**4/9 - 20*i**3/9 - 8*i**2 - 28*i - 1. Let n(u) = 0. What is u?
-2, 6
Factor 13*d**2 + 67*d**2 + 56162*d - 56470*d - 968 - 4*d**3.
-4*(d - 11)**2*(d + 2)
Suppose -21*f + 35*f - 20*f + 11*f**2 + 42*f**2 - 17*f**3 = 0. Calculate f.
0, 2/17, 3
Let k = 115 + -131. Let s(v) = v**3 + 18*v**2 + 29*v - 44. Let u be s(k). Suppose 6/5*f**3 - 3/5*f**5 + 6/5*f**u - 3/5*f + 6/5 - 12/5*f**2 = 0. Calculate f.
-1, 1, 2
Let q(j) = -3*j**2 - 53*j - 17. Let u(g) = 2*g**2 + 26*g + 6. Let d(m) = 6*q(m) + 11*u(m). Let d(x) = 0. Calculate x.
-1, 9
Let n be (-4)/(-6)*(-12)/(-8). Let p be n + 62/2 + 1. Let 3*c**3 + 12*c**2 - 15*c**3 - p*c**2 + 6*c = 0. Calculate c.
-2, 0, 1/4
Let i**2 + 0 - 1/3*i**3 + 4/3*i = 0. Calculate i.
-1, 0, 4
Let j(q) = 4*q**3 + 16*q**2 - 6*q + 14. Let d(l) = l**3 + 5*l**2 - 2*l + 4. Let r(s) = 7*d(s) - 2*j(s). What is a in r(a) = 0?
0, 1, 2
Let w(x) be the first derivative of 1/7*x**2 - 2/21*x**3 + 0*x - 13. Solve w(f) = 0 for f.
0, 1
Let g(l) = 1345 - 2053 - 271*l - 1630 - 26*l**2. Let o(c) = 9*c**2 + 90*c + 780. Let a(y) = 6*g(y) + 17*o(y). Factor a(j).
-3*(j + 16)**2
Let f(l) be the second derivative of l**5/40 - 2*l**4/3 + 16*l**3/3 + 31*l. Solve f(b) = 0 for b.
0, 8
Let f(z) be the second derivative of z**6/75 + 3*z**5/50 - 138*z. Find o such that f(o) = 0.
-3, 0
Let r(m) = -5*m**2 + 11*m - 18. Let l(x) = -4*x**2 + 12*x - 17. Let u(s) = -4*l(s) + 3*r(s). What is k in u(k) = 0?
1, 14
Let p be 820/123 - (-3 + 42/9). Suppose -4/3*k**2 + 2/3*k**p - 4/3*k**3 + 2/3*k**4 + 2/3 + 2/3*k = 0. What is k?
-1, 1
Let n(t) be the first derivative of -t**6/18 + 26*t**5/15 + 14*t**4/3 + 2*t**3/9 - 55*t**2/6 - 28*t/3 - 450. Determine z so that n(z) = 0.
-1, 1, 28
Suppose -5*b - 3*j + 15 = 0, 5*b - 20 = -5*j + j. Determine z, given that b*z + 3/2*z**2 + 0 + 1/2*z**3 = 0.
-3, 0
Let t = 37379 - 37376. Let 0*n + 16/7*n**t + 0 + 2/7*n**4 + 0*n**2 = 0. Calculate n.
-8, 0
Let m(j) = -j**3 + 3*j - 1. Let v(g) = -36*g**2 - 100*g - 58. Let b(h) = -4*m(h) - 2*v(h). Factor b(a).
4*(a + 1)*(a + 2)*(a + 15)
Suppose -7*z + 4*z - 6 = 0. Let a(o) = -7*o**2 - 15*o - 10. Let f(y) = -155*y**2 - 330*y - 220. Let n(t) = z*f(t) + 45*a(t). Find j such that n(j) = 0.
-2, -1
Let i(m) be the third derivative of 25*m**8/2016 - 11*m**7/252 - 13*m**6/60 - 23*m**5/90 - m**4/9 - 17*m**2 - 4*m. Determine l, given that i(l) = 0.
-1, -2/5, 0, 4
Let t(u) = -u**2 - 23*u + 142. Let x be t(5). Let 0 - 4/5*m + 14/5*m**3 + 2*m**x = 0. What is m?
-1, 0, 2/7
Let n(a) be the second derivative of -a**6/15 - 17*a**5/10 - 15*a**4/2 - 43*a**3/3 - 14*a**2 - 3*a + 8. Factor n(d).
-2*(d + 1)**3*(d + 14)
Let n be 4 + -1 - (16 - -3). Let g be (n/(-8))/((-3)/(-6)). Factor -4/11*x**2 + 0*x - 6/11*x**3 - 2/11*x**g + 0.
-2*x**2*(x + 1)*(x + 2)/11
Let g be 2 + 5 + -4 + 1. Find j, given that -g - 5*j - 7*j**2 - j + 8*j + 14*j = 0.
2/7, 2
Let d(k) be the third derivative of -k**5/60 + 43*k**4/24 - 7*k**3 - k**2 + 7*k. Factor d(i).
-(i - 42)*(i - 1)
Let a(v) = -v**2 - 3*v + 4. Let m(q) = q - 1. Let s(r) = -a(r) - 4*m(r). Let b be s(2). Suppose p**2 - 4*p**4 + 0*p**2 + p**4 + b*p**2 = 0. What is p?
-1, 0, 1
Let q(f) = -12*f**4 - f**3 + 29*f**2 + 13*f + 1. Let r(x) = 36*x**4 + 3*x**3 - 87*x**2 - 39*x - 6. Let c(u) = -21*q(u) - 6*r(u). Suppose c(h) = 0. Calculate h.
-1, 1/4, 5/3
Let d = -4 + 2. Let z(s) = -4*s - 4. Let y be z(d). Factor 24*i**3 + 3*i**y - 4*i**2 + i**5 + i**5 - 12*i**2 - 15*i**4.
2*i**2*(i - 2)**3
Let o(k) be the first derivative of -k**4/6 + 4*k**3/3 - 3*k**2 + 8*k/3 - 47. Factor o(v).
-2*(v - 4)*(v - 1)**2/3
Let a(z) = 19*z**3 + 16*z**2 + 11. Let v = -153 + 164. Let q(r) = -10*r**3 - 8*r**2 - 6. Let d(b) = v*q(b) + 6*a(b). What is f in d(f) = 0?
-2, 0
Factor 49*t**4 - 3*t**2 + 5*t**2 - 51*t**4 - 4*t**3 + 4*t**2.
-2*t**2*(t - 1)*(t + 3)
Let 3/2*s**2 - 60*s - 126 = 0. What is s?
-2, 42
Let m be (-1)/1*9/(-3). Suppose q + k - 22 = -q, k = m*q - 23. Factor x - 10 + x**4 + q + x - 2*x**3.
(x - 1)**3*(x + 1)
Let i(z) be the second derivative of 55/6*z**4 + 45/2*z**2 + 0 + 20*z**3 + 18*z + 2*z**5 + 1/6*z**6. Solve i(s) = 0.
-3, -1
Let r(p) be the third derivative of -p**6/60 - p**5 - 25*p**4 - 1000*p**3/3 - 24*p**2 - p. Factor r(f).
-2*(f + 10)**3
Let b(d) be the third derivative of 7*d**2 - 1/330*d**5 - 1/66*d**4 - 3 + 0*d - 1/33*d**3. Solve b(f) = 0 for f.
-1
Let q(o) be the third derivative of 0 + 0*o**4 - 3/896*o**8 + 0*o**3 + 1/280*o**7 + 1/320*o**6 - 21*o**2 + 0*o + 0*o**5. Factor q(n).
-3*n**3*(n - 1)*(3*n + 1)/8
Let t be (3 - 7) + 10/1. Let w be -9*(10/t - 2). Determine i, given that w*i + 15*i**2 - 11*i**2 + i = 0.
-1, 0
Let u = -32 + 36. Factor -14*z**3 - u*z**4 + 16 + 6*z**4 - 44*z + 36*z**2 + 4*z.
2*(z - 2)**3*(z - 1)
Let b(l) be the second derivative of -2*l**5/5 - 13*l**4/3 - 56*l**3/3 - 40*l**2 - 2*l - 1. Let b(m) = 0. What is m?
-5/2, -2
Suppose 3*m = -0*m + 6. Suppose m*h - 1 - 3 = 0. Factor -1/2*z**5 - z**4 + 1/2*z + 0*z**3 + 0 + z**h.
-z*(z - 1)*(z + 1)**3/2
Solve 1/4*s**2 + 1/4*s**3 - 9/4 - 9/4*s = 0.
-3, -1, 3
Let a be (-5 - -16 - -5)*(-22)/(-8). Let -n**3 + n - 44 + a = 0. What is n?
-1, 0, 1
Let g(o) be the third derivative of o**5/20 + 9*o**4/8 + 81*o**3/8 + 5*o**2 - 3. Suppose g(i) = 0. Calculate i.
-9/2
Let w(b) be the second derivative of 0*b**3 + b**2 - 1/24*b**4 + 7*b + 0. Factor w(l).
-(l - 2)*(l + 2)/2
Let b = 1598 - 1598. Factor 1/2*o - 1/4*o**2 + b - 1/2*o**3 + 1/4*o**4.
o*(o - 2)*(o - 1)*(o + 1)/4
Let v(b) be the first derivative of 5*b**4 - b**5 + 25 - 30*b**2 - 45*b + 10/3*b**3. Factor v(g).
-5*(g - 3)**2*(g + 1)**2
Let d = -259 + 262. Let s(n) be the second derivative of -2*n + 0 + 1/195*n**6 - 1/78*n**4 - 1/39*n**d + 0*n**2 + 1/130*n**5. Let s(y) = 0. What is y?
-1, 0, 1
Factor 12/5*l - 8/5 + 1/5*l**4 - 3/5*l**3 - 2/5*l**2.
(l - 2)**2*(l - 1)*(l + 2)/5
Let u = 833 + -831. Let g(c) be the third derivative of 0*c**3 + 0*c**7 + 0*c + 1/240*c**6 - 1/1344*c**8 + 0 - 5*c**u + 0*c**5 - 1/96*c**4. Factor g(s).
-s*(s - 1)**2*(s + 1)**2/4
Let b(o) be the third derivative of o**8/56 - 3*o**7/70 - o**6/20 + 153*o**2 + 2. Find q such that b(q) = 0.
-1/2, 0, 2
Let o(q) be the third derivative of q**5/60 - 3*q**4/4 + 17*q**3/6 - 5*q**2 - 3. Factor o(p).
(p - 17)*(p - 1)
Let a(i) be the first derivative of -i**4/102 - 2*i**3/51 + 3*i**2/17 - 7*i - 13. Let r(y) be the first derivative of a(y). Determine w, given that r(w) = 0.
-3, 1
Let r(k) be the second derivative of -3*k**5/20 - k**4 - 3*k**3/2 - 2*k + 37. What is s in r(s) = 0?
-3, -1, 0
Let r(h) be the first derivative of -1/9*h**6 + 0*h**3 - 4/15*h**5 + 0*h**2 + 3 + 0*h + 1/2*h**4. Factor r(f).
-2*f**3*(f - 1)*(f + 3)/3
Let p(b) be the second derivative of -b**6/120 + 7*b**4/48 - b**3/4 + 14*b + 5. Factor p(l).
-l*(l - 2)*(l - 1)*(l + 3)/4
Let b(y) be the third derivative of y**6/24 + 31*y**5/12 + 14*y**2 - 2*y. Factor b(z).
5*z**2*(z + 31)
Let y be ((-2184)/260 + 2/5)*(-2)/3. Determine b, given that 14/3*b**2 + 12*b + y - 2*b**3 = 0.
-1, -2/3, 4
Let b(s) be the second derivative of 2*s**6/15 + 9*s**5/5 - 7*s**4 + 22*s**3/