(m - 1)/7
Suppose 4/11*c**2 + 10/11*c - 2/11*c**5 - 8/11*c**4 + 4/11 - 8/11*c**3 = 0. Calculate c.
-2, -1, 1
Let w = -26411281 + 9613722109/364. Let h = w + 25/91. Solve -49/4*q**5 + 145/4*q**2 + 1 - 235/4*q**3 - 10*q + h*q**4 = 0.
2/7, 1
Let v(x) = 9*x**3 - 9*x**2 - 39*x - 21. Let p(f) = -1 + 2*f - f**2 - 1 - 6*f + f**3 + 0*f. Let m(c) = 21*p(c) - 2*v(c). Factor m(z).
3*z*(z - 2)*(z + 1)
Let h(y) be the third derivative of 1/8*y**4 + 11*y**2 + 0*y + 0*y**3 + 1/80*y**6 + 0 - 3/40*y**5. Factor h(p).
3*p*(p - 2)*(p - 1)/2
Let -3/2*f**3 + 3/2*f - 3/2 + 3/2*f**2 = 0. What is f?
-1, 1
Find i such that 8*i**2 - 135*i - 4*i**3 + 135*i = 0.
0, 2
Suppose -w - 2 = -0*i - 4*i, -2 = -2*i + w. Let f be 1 - i - 2/(-6). What is y in f + 1/3*y**2 - 4/3*y = 0?
2
Let w = 6 - 6. Let f be 22*(-2)/(-56) - (-8)/(-28). Factor 0 + 1/2*p**4 + f*p**3 + w*p**2 + 0*p.
p**3*(p + 1)/2
Let k(l) be the third derivative of l**7/70 + l**6/20 - l**5/20 - l**4/4 - 19*l**2. Suppose k(z) = 0. What is z?
-2, -1, 0, 1
Factor 3/7*m**2 + 1/7 - 1/7*m**3 - 3/7*m.
-(m - 1)**3/7
Let j(q) be the second derivative of 3*q**5/20 + q**4/2 - 8*q. Factor j(b).
3*b**2*(b + 2)
Let j = -20 + 31. Let u = -5 - -9. Factor -3 + 3 - i**u + 12*i**5 - j*i**5.
i**4*(i - 1)
Let w(u) = u - 5. Let p be w(7). Suppose p*n - n - 2 = 0. Solve 2*l**2 - n - 2*l**4 - l**2 + 3*l**2 = 0.
-1, 1
Let b(j) be the second derivative of -4*j**7/21 - j**6/5 + 7*j**5/20 + j**4/2 + j**3/6 - 5*j. Let b(v) = 0. What is v?
-1, -1/2, -1/4, 0, 1
Let x = -4 - -9. Factor 18 - x*m + 4*m - 18 + m**3.
m*(m - 1)*(m + 1)
Let f(i) be the third derivative of i**6/40 - 3*i**5/20 + 3*i**4/8 - i**3/2 - 5*i**2. Factor f(d).
3*(d - 1)**3
Suppose -25*i + 27*i = 6. Find b, given that 14/3*b**2 + 6*b**i + 10/3*b**4 + 4/3*b + 0 + 2/3*b**5 = 0.
-2, -1, 0
Let x = 16/65 - -1333/130. Find n such that -x*n**2 + 11*n**3 - 4*n**4 + 4*n - 1/2 = 0.
1/4, 1/2, 1
Suppose 7*f = -5*f + 2*f. Suppose -p - 12 = -5*d + 3*d, -5*d - p = -23. Factor 1/5*t**3 + 0*t**2 + 1/5*t**d + 0*t + f + 2/5*t**4.
t**3*(t + 1)**2/5
Let f be 1/27*72/48. Let k(x) be the third derivative of 0 + 0*x - f*x**3 - 2*x**2 - 1/180*x**5 + 1/36*x**4. Factor k(w).
-(w - 1)**2/3
Let a = -4 - -5. Let d be (-6)/36*(-8)/a. What is s in 2/3 - 2*s + d*s**2 = 0?
1/2, 1
Let x(l) be the third derivative of l**8/84 + 4*l**7/105 - 2*l**5/15 - l**4/6 + 8*l**2. Factor x(i).
4*i*(i - 1)*(i + 1)**3
Let f = 7 - 7. Let z(u) be the third derivative of -1/28*u**4 + 0*u + 2*u**2 - 1/21*u**3 - 1/420*u**6 - 1/70*u**5 + f. Determine s so that z(s) = 0.
-1
Suppose 2*a + 12 = 8*a. Solve 3*o**4 + 12*o**3 - 6 + 6*o**2 - 3*o**4 - 5*o**5 + a*o**5 - 9*o = 0.
-1, 1, 2
Let s(y) be the third derivative of y**7/12600 - y**6/3600 - y**5/300 - y**4/6 - 4*y**2. Let w(a) be the second derivative of s(a). Factor w(x).
(x - 2)*(x + 1)/5
Suppose -2*f + 6 = -0*f. Let l = f - 0. Factor p + 4 - 3*p + p**2 - l.
(p - 1)**2
Let i(l) = -l**3 - 2*l**3 + 2*l + 3*l**2 - 3*l**3 + 7*l**3. Let a be i(-2). Factor a + 4/3*q**2 + 2/3*q + 2/3*q**3.
2*q*(q + 1)**2/3
Let t = 62 + -60. Find z such that -z**t + 0 + 0*z - 1/4*z**4 + z**3 = 0.
0, 2
Suppose -8*m + 5*m + 9 = 0. Factor -3*d**2 - 3*d**2 + 8*d**4 + 5*d**2 - 3*d - 7*d**4 + 3*d**m.
d*(d - 1)*(d + 1)*(d + 3)
Let t = 23/7 + -3. Let k(p) = p**3 + 8*p**2 - p - 8. Let y be k(-8). Factor 2/7*f + y + t*f**2.
2*f*(f + 1)/7
Let g = 22 + -7. Let t = -15 + g. Suppose 0 - 1/2*s**5 + t*s**3 + 0*s + 0*s**4 + 0*s**2 = 0. What is s?
0
Let l(g) = -2*g**3 + 4*g - 4. Let m(c) = -c**3 + c. Let f(d) = -l(d) + m(d). Let z(s) be the first derivative of f(s). Factor z(y).
3*(y - 1)*(y + 1)
Let u be (-6)/3*20/(-30). Find t, given that 8/3*t + 1/3*t**3 - u - 5/3*t**2 = 0.
1, 2
Let q(o) be the second derivative of o**7/84 - o**5/10 + o**4/12 + o**3/4 - o**2/2 + 11*o. Let q(f) = 0. What is f?
-2, -1, 1
What is k in -4/3*k**2 - 10/9*k**5 + 0*k + 38/9*k**3 + 0 - 16/9*k**4 = 0?
-3, 0, 2/5, 1
Let l(p) be the second derivative of -2*p**6/45 - 2*p**5/5 - 39*p. Solve l(r) = 0.
-6, 0
Let k be 2/6 + (-14)/(-3). Suppose 4*d - 8 = k*n + 3, 2*n = 2. Factor 7*v - v**d - 3*v - v**4 - 4*v**3 + 2.
-2*(v - 1)*(v + 1)**3
Solve 8/3*a**2 + 0 - 2*a**5 + 4/3*a**3 - 8/3*a**4 + 2/3*a = 0.
-1, -1/3, 0, 1
Let s(u) be the second derivative of u**7/63 + 2*u**6/45 - u**5/15 - 2*u**4/9 + u**3/9 + 2*u**2/3 + 22*u. Suppose s(w) = 0. What is w?
-2, -1, 1
Solve 1/7*i**5 + 0*i**2 - 2/7*i**3 + 0 + 0*i**4 + 1/7*i = 0.
-1, 0, 1
Let j(z) be the second derivative of z**7/42 + z**6/10 + 3*z**5/20 + z**4/12 - 4*z. Find i such that j(i) = 0.
-1, 0
Let c(z) be the second derivative of z**5/5 + 9*z**4 + 162*z**3 + 1458*z**2 - 23*z. Suppose c(x) = 0. Calculate x.
-9
Suppose -g + 1 = 2*u - 7, -5*u - 4*g = -26. Suppose -4*w - 5*x = -0 - 14, -4 = w + 5*x. Determine i so that -w*i + 9/2*i**2 + u = 0.
2/3
Let s be ((-58)/145)/((-3)/(-2) + -2). Factor -2/5*m**3 + s*m + 0 + 2/5*m**2.
-2*m*(m - 2)*(m + 1)/5
Let v(t) be the second derivative of -t**6/105 + 2*t**5/7 - 25*t**4/7 + 500*t**3/21 - 625*t**2/7 + 18*t. Factor v(d).
-2*(d - 5)**4/7
Let b = 18 - 15. Suppose 2*g + 3*l = b*g, 2*l = -5*g. Factor 2/7*y**2 + 2/7*y + g.
2*y*(y + 1)/7
Let d(v) be the third derivative of v**5/15 + v**4/6 - 4*v**3/3 - 17*v**2. Solve d(s) = 0.
-2, 1
Let z = 1/38 + 17/76. What is f in -1/4*f**5 + z*f**3 - 1/4*f**2 + 0*f + 0 + 1/4*f**4 = 0?
-1, 0, 1
Suppose 7*d = 2*d - 20. Let m(x) = -2*x**2 + 3*x**2 + 0*x**2 + x. Let w(h) = -h**3 + 13*h**2 - 23*h + 27. Let l(o) = d*m(o) + w(o). Factor l(y).
-(y - 3)**3
Suppose 4*j - 3*j - 2 = 0. Let w = 3 - 5/2. Solve j*g**3 + w*g**4 + 5/2*g**2 + g + 0 = 0.
-2, -1, 0
Let h(p) = -9*p**3 + 18*p**2 - 20*p + 11. Let r(u) = -3*u**3 + 6*u**2 - 7*u + 4. Let v(s) = -4*h(s) + 11*r(s). Factor v(z).
3*z*(z - 1)**2
Let n(c) = -5*c**4 - 2*c**3 - 8*c**2 - 8*c + 8. Let y(r) = 3*r**4 + r**3 + 5*r**2 + 5*r - 5. Let s(w) = 5*n(w) + 8*y(w). Factor s(b).
-b**3*(b + 2)
Let l(z) be the first derivative of 3*z + 27/4*z**2 + 3/2*z**4 + 6*z**3 - 1. Factor l(p).
3*(p + 2)*(2*p + 1)**2/2
Let x(f) be the first derivative of -f**3/9 + f**2/3 - f/3 + 9. Solve x(p) = 0.
1
Let b(y) = -10*y**3 + 50*y**2 + 45*y + 15. Let w(l) = l**3 - l**2 - l - 1. Let j(p) = -b(p) - 15*w(p). Factor j(g).
-5*g*(g + 1)*(g + 6)
Let o be (-2 - -2)*(-6 - (-2 + -3)). Factor -6/7*h**2 + o + 2/7*h.
-2*h*(3*h - 1)/7
Let x(w) be the second derivative of -w**4/24 - w**3/2 - 5*w**2/4 - 26*w. Factor x(a).
-(a + 1)*(a + 5)/2
Let w(c) be the third derivative of -c**8/112 - c**7/42 + c**6/120 + c**5/12 + c**4/12 - 4*c**2. Find r, given that w(r) = 0.
-1, -2/3, 0, 1
Let t = 25 + -20. Let y(a) = a**3 - 6*a**2 + 6*a - 1. Let r be y(t). Suppose 16/3 - 2/3*p**3 + r*p**2 - 8*p = 0. What is p?
2
Let n = 5083/2359 + -4/337. Let n*c**3 + 24/7*c**2 + 12/7*c + 3/7*c**4 + 0 = 0. Calculate c.
-2, -1, 0
Let y be 2/5*((-38)/6 + 8). Solve -5/3*c**3 + 0*c + 0 - y*c**4 + 5/3*c**5 + 2/3*c**2 = 0 for c.
-1, 0, 2/5, 1
Let z be (2/6)/((-1)/(-21)). Factor 3 + 1 - z*v**2 + 6*v**2.
-(v - 2)*(v + 2)
Let m be 2 - 1 - (-3 + 4). Let j(a) be the second derivative of a - 1/30*a**6 + m*a**4 + 0 + 1/3*a**3 - 1/10*a**5 + 1/2*a**2. Factor j(n).
-(n - 1)*(n + 1)**3
Factor -1/5*h + 1/10*h**2 + 1/10.
(h - 1)**2/10
Suppose 3*p**3 - 4*p**2 + 2*p**3 + 0*p**3 - p**3 = 0. What is p?
0, 1
Let z(c) be the first derivative of -7*c**6/4 - 69*c**5/10 - 15*c**4/2 - 2*c**3 + 29. Solve z(y) = 0.
-2, -1, -2/7, 0
Factor 0 + 1/9*w + 1/9*w**2 - 1/9*w**4 - 1/9*w**3.
-w*(w - 1)*(w + 1)**2/9
Let p(g) be the third derivative of 0*g**3 - 4*g**2 + 0 + 0*g + 1/240*g**5 + 0*g**4. Factor p(h).
h**2/4
Let z(u) be the third derivative of -8*u**7/35 - 3*u**6/5 + 3*u**5/4 - u**4/4 + 15*u**2. Let z(o) = 0. What is o?
-2, 0, 1/4
Let i(l) = -l**4 - 62*l**3 - 116*l**2 - 80*l. Let s(o) = -21*o**3 - 39*o**2 - 27*o. Let m(n) = 3*i(n) - 8*s(n). Find q, given that m(q) = 0.
-2, 0
Let t(l) be the first derivative of -2*l**3/3 + 10*l**2 - 50*l - 18. Determine v so that t(v) = 0.
5
Let l(z) = -z**4 - 25*z**3 + z**2 + 16*z - 9. Let n(d) = 6*d**3 - 4*d + 2. Let y(w) = -2*l(w) - 9*n(w). Factor y(o).
2*o*(o - 2)*(o - 1)*(o + 1)
What is m in 12*m**2 + 0*m - 9*m**2 + 0*m = 0?
0
Let v(w) = 3*w**5 - 14*w**4 - 14*w**3 + 5*w**2 - 7*w. Let c(x) = -x**4 - x**3 - x. Let y(i) = 36*c(i) - 4*v(i). Determine s, given that y(