(i + 1)/6
Let r(z) = -4*z**2 - 8*z + 2. Suppose -3*l = -l - 4. Let s(b) = -b + 0*b + 2*b**2 - 5*b**2 + 2*b**l. Let q(i) = r(i) - 5*s(i). What is x in q(x) = 0?
1, 2
Let k(g) = -3*g - 2. Let v be k(-2). Let j = 6 - v. Factor s**2 + 4*s**5 + 2*s**4 + s - 5*s**5 - 3*s**j.
-s*(s - 1)**3*(s + 1)
Let w(v) = 24 - 11 + v - 2*v**3 - 14*v + 6*v**2 + 9*v**2. Let i(o) = o**3 - 7*o**2 + 6*o - 6. Let x(n) = -13*i(n) - 6*w(n). Solve x(d) = 0.
0, 1
Let n = 69/4 - 17. Suppose n*v**4 + 1/4*v**2 + 0 + 1/2*v**3 + 0*v = 0. What is v?
-1, 0
Let x(v) be the third derivative of v**7/1120 - 7*v**6/1440 + v**5/240 - 5*v**3/6 - 4*v**2. Let q(n) be the first derivative of x(n). Factor q(y).
y*(y - 2)*(3*y - 1)/4
Determine i, given that -i**2 - 2*i + 4*i + 5*i**2 - 16*i + 8 + 2*i**3 = 0.
-4, 1
Suppose 3*p + 99 = -132. Let t be ((-44)/p)/((-1)/(-7)). Find q, given that -3/5*q**t + 6/5*q**3 + 0*q**2 + 0*q + 0 = 0.
0, 2
Let i = 353/9 - 39. Let z be (0 + 2)/(-4)*0. Solve -i*o + 2/9*o**3 + z + 0*o**2 = 0 for o.
-1, 0, 1
Suppose -t + 4 = -5. Solve -6*d - 2*d**2 + t*d**2 - 4 + 6*d**2 - 3*d**2 = 0.
-2/5, 1
Factor -2*s**5 - 3*s**5 + 10*s**5 - 5*s**3.
5*s**3*(s - 1)*(s + 1)
Let f(k) be the third derivative of -k**7/3780 + k**6/180 - k**5/20 + k**4/4 + k**3/6 + 3*k**2. Let q(i) be the first derivative of f(i). Solve q(m) = 0.
3
Solve -122*j**2 + 122*j**2 + 3*j**3 = 0.
0
Let z(v) be the third derivative of v**5/360 + 13*v**4/72 + 169*v**3/36 + 3*v**2. Suppose z(g) = 0. Calculate g.
-13
Solve -4*o**4 - 9*o**2 + 10*o - 6*o + 12*o**3 - 3*o**2 = 0 for o.
0, 1
Suppose 5*j = -1 + 16. Let h(x) be the first derivative of 2/3*x**2 + 1 + 4/3*x + 1/9*x**j. Find p such that h(p) = 0.
-2
Let l(x) = -3*x + 16. Let b be l(4). Determine r so that -1/4*r**b - 1/2*r**3 - 1/4*r**2 + 0 + 0*r = 0.
-1, 0
Let b(c) = 2*c**2 - 27*c - 14. Let z be b(14). Factor 1/4*k**2 + 1/4*k**3 + z*k + 0.
k**2*(k + 1)/4
Factor 0 - 1/4*j**2 + 1/4*j.
-j*(j - 1)/4
Find s such that -10/3*s - 2/3*s**2 - 8/3 = 0.
-4, -1
Let a(s) = -3*s**2 - 9*s + 15. Let w(k) = -3*k**2 - 10*k + 17. Let h(f) = 4*a(f) - 3*w(f). Find r, given that h(r) = 0.
-3, 1
Let g = 257 + -181. Let b be (-57)/g*2/(-6). Let -b*j**2 + 3*j**5 + 0*j + 0*j**3 + 0 + 13/4*j**4 = 0. Calculate j.
-1, -1/3, 0, 1/4
Let u(p) be the third derivative of 1/12*p**4 + 0*p**5 + 1/210*p**7 - 1/6*p**3 - p**2 + 0 + 0*p - 1/60*p**6. Suppose u(b) = 0. Calculate b.
-1, 1
Let z be (54/45)/(6/20). Factor 3/5*s + 0*s**z - 6/5*s**3 + 0*s**2 + 3/5*s**5 + 0.
3*s*(s - 1)**2*(s + 1)**2/5
Let -2*s**3 + 2*s**4 - 4*s**3 - 5*s**4 = 0. What is s?
-2, 0
Let c be (6/2 - -2) + 18/(-9). Let b be (-4)/(-6) + 32/60. Determine f, given that 8/5*f**2 - 2/5*f**5 + 0*f - b*f**4 + 0*f**c + 0 = 0.
-2, 0, 1
Suppose 3*m + 12 = -w, -3*m - 16 - 8 = -3*w. What is g in -2/9*g - 2/9*g**w + 0 - 4/9*g**2 = 0?
-1, 0
Let j(x) = x**3 - 3*x**2 - 4*x - 3. Let v(q) = 4*q**3 - 8*q**2 - 12*q - 8. Let n(i) = -8*j(i) + 3*v(i). Factor n(k).
4*k*(k - 1)*(k + 1)
Let k(i) be the second derivative of -i**5/40 + 5*i**4/36 - i**3/12 + i + 42. Find s, given that k(s) = 0.
0, 1/3, 3
Let w be 5/10*7 - 3. Let v(n) be the first derivative of -w*n**3 + 3*n**2 - 6*n + 4. Determine s, given that v(s) = 0.
2
Let b(d) be the third derivative of d**5/30 - d**4/4 + 30*d**2. Factor b(z).
2*z*(z - 3)
Let m(h) be the first derivative of h**6/1620 + h**5/540 + h**3/3 + 5. Let p(z) be the third derivative of m(z). Find l such that p(l) = 0.
-1, 0
Let f be 4/12 - 40/(-6). Let a(q) be the second derivative of 0*q**2 + 0*q**4 + 0*q**6 + 0*q**3 + 0 - 1/84*q**f - 2*q + 1/40*q**5. Factor a(s).
-s**3*(s - 1)*(s + 1)/2
Let m(a) be the second derivative of a**4/3 + 2*a**3 + 4*a**2 - 19*a. Suppose m(f) = 0. What is f?
-2, -1
Let v(g) be the first derivative of -3*g + 15/4*g**2 + 3/8*g**4 - 2*g**3 + 7. Find m such that v(m) = 0.
1, 2
Let h(g) = -7*g**3 + 14*g**2 - 13*g + 2. Let v(i) = -7*i**3 + 13*i**2 - 14*i + 2. Let t be (2 - 3)*-3*1. Let p(j) = t*h(j) - 2*v(j). Solve p(q) = 0 for q.
2/7, 1
Let g = -12 - -21. Let j be (21/g + -2)*0. Factor 1/3*t + 0*t**2 - 1/3*t**3 + j.
-t*(t - 1)*(t + 1)/3
Let l = 25 - 22. Let z(v) be the first derivative of 0*v + 2 - 1/3*v**l + 1/4*v**4 - 1/2*v**2 + 1/5*v**5. Let z(k) = 0. Calculate k.
-1, 0, 1
Let s(g) be the first derivative of -g**4/48 + g**3/6 - g**2/2 - g - 3. Let b(z) be the first derivative of s(z). Find w, given that b(w) = 0.
2
Let m(c) be the first derivative of -c**5/330 - c**2/2 + 1. Let b(a) be the second derivative of m(a). Factor b(p).
-2*p**2/11
Let y(p) = -p**5 + p**4 - p**3 + p**2 - p. Let r(h) = -4*h**5 + 6*h**4 - 4*h**3 - h. Let x(t) = -5*r(t) + 15*y(t). Factor x(w).
5*w*(w - 2)*(w - 1)**2*(w + 1)
Let u(y) = -4*y**5 + 3*y**4 + 8*y**3 - 3*y**2 - 4*y - 3. Let f(c) = -c**5 + c**4 + c**3 - c**2 - 1. Let p(o) = 6*f(o) - 2*u(o). Solve p(a) = 0.
-2, -1, 0, 1, 2
Let r(d) be the second derivative of 2/3*d**2 + d + 1/36*d**4 + 0 - 2/9*d**3. Determine w, given that r(w) = 0.
2
Let s(b) be the first derivative of b**5/5 - 7*b**4/2 + 49*b**3/3 - 13. Factor s(j).
j**2*(j - 7)**2
Let w be (12/27)/(-2 + 3). Let r(m) be the first derivative of 0*m - 1/6*m**2 + 4/15*m**5 - w*m**3 + 2 + 1/12*m**4. Factor r(a).
a*(a - 1)*(a + 1)*(4*a + 1)/3
Let m(d) be the first derivative of -2*d**5/5 - 7*d**4/4 - d**3 + 4*d**2 + 4*d - 4. What is b in m(b) = 0?
-2, -1/2, 1
Let t(c) = 3*c + 1. Let x be t(1). Suppose 2*g - x*g - 2 = -4*r, -2*g = 4*r - 14. Let -3*q**r + q**2 + 7 - 2 - 3 = 0. What is q?
-1, 1
Let k(w) be the first derivative of -4*w**5/5 + 2*w**4 - 4*w**3/3 + 14. Factor k(m).
-4*m**2*(m - 1)**2
Let w be 4/22 - 24/(-22). Let p be (-3)/((-85)/(-25) + -4). Find g such that 0*g + 0 + 4/11*g**2 - 24/11*g**4 - w*g**p - 6/11*g**3 = 0.
-1, 0, 2/7
Let l(z) be the second derivative of -5*z**4/12 - 5*z**3/6 + 4*z. Let j(a) = a**2 + a. Let x(r) = 6*j(r) + l(r). Solve x(v) = 0.
-1, 0
Let k(r) = -3*r**3 - r**2 + 4*r + 5. Let t be k(-2). Suppose -5*y - 7 + t = 0. Suppose -1/4 - 3*f**3 - 13/4*f**y - f**4 - 3/2*f = 0. What is f?
-1, -1/2
Let r(b) be the third derivative of -b**5/12 - 25*b**4/24 - 10*b**2. Determine n so that r(n) = 0.
-5, 0
Let o(m) = -m + 1. Let p be o(-3). Factor q**5 + 6*q**4 - 3*q**p - 3*q**4.
q**5
Factor -5*y - 12 - y - 11*y**2 + 10*y**2 + 3.
-(y + 3)**2
Let s be (-380)/(-4 - 9/3). Let d = s + -54. Factor -4/7*o**3 + 2/7 + 4/7*o**2 - d*o**5 + 6/7*o - 6/7*o**4.
-2*(o - 1)*(o + 1)**4/7
Let l(u) be the second derivative of -2/3*u**3 + 0*u**2 + 0 - 2*u + 1/6*u**4. Let l(t) = 0. What is t?
0, 2
Let t be (-2 - -2) + -3 + -48. Let g = t - -205/4. Solve 1/4*h**2 + g + 1/2*h = 0 for h.
-1
Let a(j) be the second derivative of -7/6*j**4 - 17/30*j**5 - 1/9*j**6 - 11/9*j**3 - 2/3*j**2 + 7*j + 0. Determine g, given that a(g) = 0.
-1, -2/5
Let -4 + 3*v**3 + 5*v**3 - 16*v + 24*v - 28*v**4 + 32*v**2 - 16*v**5 = 0. Calculate v.
-1, 1/4, 1
Factor 4/3*z**2 + 64/3 + 32/3*z.
4*(z + 4)**2/3
Let r(w) be the first derivative of -w**6/18 + 5*w**4/12 - 2*w**2/3 + 9. Find c such that r(c) = 0.
-2, -1, 0, 1, 2
Let k(p) be the second derivative of 1/6*p**4 + 0*p**2 + 0*p**3 + 3*p + 0. Let k(z) = 0. What is z?
0
Suppose 3*w = -4*b - 7, -5*b + 7 = 3*w + 18. Factor -7 - 18*i**3 - 16*i - 39*i**2 - w*i**4 + 12*i - 5 - 32*i.
-3*(i + 1)**2*(i + 2)**2
Let u(k) be the third derivative of k**8/5880 + k**7/2940 - k**3/2 + k**2. Let b(v) be the first derivative of u(v). Solve b(r) = 0.
-1, 0
Let q(y) = -y**3 + 3*y**2 + 4*y + 2. Let t(a) = a + 1. Let k be t(3). Let b be q(k). Factor 0*j - 1/4 + 1/4*j**b.
(j - 1)*(j + 1)/4
Let z(n) be the third derivative of -n**8/840 - 4*n**7/525 - n**6/50 - 2*n**5/75 - n**4/60 - 14*n**2. Determine a so that z(a) = 0.
-1, 0
Let x be -2 - -2 - 187/2. Let w = 110 + x. Suppose -6*n**2 + w*n**3 + 3/2 - 9/4*n + 15/4*n**5 - 27/2*n**4 = 0. Calculate n.
-2/5, 1
Suppose 2*i = -2*i - 312. Let f = 392/5 + i. What is c in 0 + 0*c + f*c**2 = 0?
0
Let v be (-30)/10 + 1*5. Solve -4*o**v + 2*o**2 - 3*o - o**2 - 3*o = 0 for o.
-2, 0
Let d(g) be the third derivative of -g**5/30 + g**4/6 - 8*g**2. Let d(b) = 0. What is b?
0, 2
Let b(x) be the second derivative of -x**6/60 - x**5/20 - x**4/24 + 3*x. Factor b(n).
-n**2*(n + 1)**2/2
Let j(m) be the third derivative of -m**9/151200 + m**8/50400 + m**7/12600 - m**6/1800 + m**5/30 - m**2. Let w(a) be