2*(y + 2)/2
Let j(c) be the first derivative of -15 + 0*c + 1/15*c**5 - 1/6*c**4 + 1/3*c**2 - 1/9*c**3. Factor j(i).
i*(i - 2)*(i - 1)*(i + 1)/3
Let g = 9899 + -9897. Suppose 18/13 - 2/13*c**3 + 14/13*c**g - 30/13*c = 0. Calculate c.
1, 3
Let l(q) be the first derivative of -11*q**5 + 35*q**4/4 + 20*q**3/3 + 74. Factor l(k).
-5*k**2*(k - 1)*(11*k + 4)
Let b = 18009 + -18008. Find a, given that 1/6*a**3 - b + 1/6*a + 2/3*a**2 = 0.
-3, -2, 1
Let s(m) be the second derivative of m**5/70 - 2*m**4/21 - 5*m**3/7 + 18*m**2/7 + 75*m. Factor s(x).
2*(x - 6)*(x - 1)*(x + 3)/7
Let n be (-4)/(-12)*6 - (-20 - -2). Let q be ((12/(-3))/n)/(-1). Factor 0*o - 1/5*o**3 + q*o**2 + 0.
-o**2*(o - 1)/5
Find p, given that 13/8*p**2 + 3/2 + 7/2*p - 5/8*p**4 - 9/8*p**3 + 1/8*p**5 = 0.
-1, 2, 6
Determine k, given that -8*k**3 - 2*k**4 + k**5 - 1 + 5 - 5*k + 12*k + 36*k**2 - 38*k**2 = 0.
-1, 1, 4
Let b(i) = -308*i + 1540. Let t be b(5). Suppose 4/11*m**4 + 0*m**2 + 0 + t*m**3 + 0*m + 2/11*m**5 = 0. Calculate m.
-2, 0
Let i(y) be the first derivative of -2*y**5/75 - y**4/2 + 76*y**3/15 - 244*y**2/15 + 112*y/5 + 320. Factor i(j).
-2*(j - 2)**3*(j + 21)/15
Let 2/5*w**3 + 1/5 + 2/5*w**2 + 1/5*w**5 - 3/5*w**4 - 3/5*w = 0. What is w?
-1, 1
Let s be 161/483 - 41/(-12). Determine w, given that -s*w + 9/2 - 3/4*w**2 = 0.
-6, 1
Let r(d) = -d**3 + 15*d + 10. Let t(k) = -3 - 7 + 7*k + 0*k - 22*k. Let a(x) = 5*r(x) + 4*t(x). Factor a(p).
-5*(p - 2)*(p + 1)**2
Let u = 27101 + -27098. Solve -1/2*t**4 + 5/2*t**u - 2*t + 4 - 3*t**2 = 0.
-1, 2
Let l(p) = -74*p**3 - p - 1. Let t be l(-1). Let z = -291/4 + t. Factor -z*h**2 + 2*h + 1.
-(h - 2)*(5*h + 2)/4
Let m(c) = -12*c**2 + 138*c - 90. Let p(w) = -3*w**2 + 34*w - 23. Let o(r) = 2*m(r) - 9*p(r). Factor o(t).
3*(t - 9)*(t - 1)
Let s be -4 + 4 - -3 - -258. Factor s - 10*w**2 - 14*w - 257 + 0*w**3 + 8*w**3.
2*(w - 2)*(w + 1)*(4*w - 1)
Let k be (-320)/(-25)*5/(-3). Let w = k + 22. Factor -4/3*r + 0 + 2/3*r**3 - w*r**2.
2*r*(r - 2)*(r + 1)/3
Let -3/2*c**3 - 3*c**2 + 39/2*c - 15 = 0. Calculate c.
-5, 1, 2
Let a = -627 + 629. Determine o, given that 3/4*o**a + 3/4*o + 0 = 0.
-1, 0
Let v(b) be the first derivative of -b**6/18 + b**4/2 + 8*b**3/9 + b**2/2 + 190. Factor v(c).
-c*(c - 3)*(c + 1)**3/3
Factor 6*b + 9*b + 14 + 3*b**2 + 4.
3*(b + 2)*(b + 3)
Let p(h) = 24*h**2 + 4*h - 1. Let m be p(1). Let u be m/6 + (-6)/4. Factor -u*y**2 + 3*y**3 + 3/2*y**4 - 3/2*y**5 + 3/2 - 3/2*y.
-3*(y - 1)**3*(y + 1)**2/2
Let n(d) = -5*d**4 - 23*d**3 + 15*d**2 + 11*d - 16. Let y(g) = -6*g**4 - 26*g**3 + 14*g**2 + 10*g - 16. Let a(b) = 4*n(b) - 3*y(b). Let a(f) = 0. What is f?
-8, -1, 1
Let p = -10 + 12. Let -7*r**3 + 0*r + p*r**2 - 2*r**4 + 6*r**4 + r = 0. What is r?
-1/4, 0, 1
Let k(x) be the third derivative of x**5/30 + 2*x**4 + 21*x**3 - 93*x**2. Solve k(y) = 0.
-21, -3
Let f(p) = -p**3 + 4*p**2 - p + 2. Let k be f(3). Suppose -11*x = -7*x - k. Factor 2*i**2 + i**3 + 1 + 3*i - 7*i**x + 8*i**2.
(i + 1)**3
Let c(k) be the first derivative of -k**6/180 - 2*k**5/135 + k**4/108 + 2*k**3/27 - 23*k**2/2 + 13. Let j(b) be the second derivative of c(b). Solve j(u) = 0.
-1, 2/3
Let v = 149/102 + 2/51. Let w(h) be the first derivative of -v*h**2 + 0*h**3 + 0*h + 3/4*h**4 - 6. Factor w(u).
3*u*(u - 1)*(u + 1)
Suppose -988 + 1012 = 6*s. Let j(n) be the first derivative of 3/20*n**5 + 0*n**2 + 2 + 0*n**3 + 0*n + 3/16*n**s. Let j(t) = 0. What is t?
-1, 0
Suppose 0 + 0*q + 72/7*q**2 + 2/7*q**5 + 96/7*q**3 + 26/7*q**4 = 0. What is q?
-6, -1, 0
Let y = -879/13 - -149323/2184. Let b = y - 1/168. Factor 1/4 + 1/4*m**3 + b*m**2 + 3/4*m.
(m + 1)**3/4
Let z(p) be the second derivative of p**4/21 - 166*p**3/21 + 164*p**2/7 - 63*p. Factor z(c).
4*(c - 82)*(c - 1)/7
Let v(a) be the second derivative of 78*a**6/5 - 12*a**5 - 155*a**4/4 + 40*a**3 - 3*a**2/2 + 628*a. Determine z so that v(z) = 0.
-1, 1/78, 1/2, 1
Let m(a) = -3*a**2 + 6*a. Let n(i) be the second derivative of i**4/6 - i**3/2 + 17*i. Let s(x) = -3*m(x) - 5*n(x). Find c, given that s(c) = 0.
-3, 0
Let n be -1 - -3*10/6. Factor -15*o**2 + 2 + 19*o**2 - n*o - 2.
4*o*(o - 1)
Let w(i) be the first derivative of 2*i**3 - 2/5*i**5 + 1/2*i**4 - 5*i**2 + 4*i - 4. Factor w(y).
-2*(y - 1)**3*(y + 2)
Let a(g) = -165*g - 1155. Let h be a(-7). Let q(m) be the first derivative of 0*m**2 - 11 - 1/12*m**4 + h*m + 1/9*m**3. What is x in q(x) = 0?
0, 1
Suppose 5*q - 4 = -3*b + q, 2*b + 2*q = 4. Suppose 28*z**3 - 51*z**3 - 42*z**3 - 45*z**2 - 25*z**b + 10 + 5*z + 0*z = 0. Calculate z.
-1, 2/5
Let -1/6*k**3 + 5/6*k - 1/3 - 1/2*k**2 + 1/6*k**4 = 0. Calculate k.
-2, 1
Let w = 10 - 11. Let u be (-55)/15 - w - -3. Factor -1/3*p**2 - u - 2/3*p.
-(p + 1)**2/3
Let x(u) be the third derivative of u**8/50400 - u**7/630 + u**6/18 - u**5/5 - 18*u**2. Let k(v) be the third derivative of x(v). Let k(r) = 0. Calculate r.
10
Let m(c) be the second derivative of c**8/112 - 2*c**7/35 + 3*c**6/20 - c**5/5 + c**4/8 - c**2 - 7*c. Let o(j) be the first derivative of m(j). Factor o(i).
3*i*(i - 1)**4
Let t(u) be the first derivative of u**5/10 - 19*u**4/4 + 397*u**3/6 - 171*u**2 + 162*u - 68. Factor t(g).
(g - 18)**2*(g - 1)**2/2
Factor -1/4*m**2 - 2601 - 51*m.
-(m + 102)**2/4
Let u be (-1)/168*288/(-360). Let n(f) be the third derivative of 1/42*f**4 + f**2 + 0 - 1/21*f**3 - u*f**5 + 0*f. Determine y so that n(y) = 0.
1
Solve -94*a + 867 + 591 - 2*a + 2*a - 14*a + 2*a**2 = 0.
27
Let i(a) be the third derivative of a**8/2016 - a**6/144 + a**4/36 + 101*a**2. What is r in i(r) = 0?
-2, -1, 0, 1, 2
Let s = -35 - -37. Suppose s*r - 14*r + 24 = 0. Factor 1/2*c**5 - 3/2*c**3 + c**4 - 2*c**r + 0 + 2*c.
c*(c - 1)**2*(c + 2)**2/2
Let 20/3*t + 10*t**2 + 5/3 + 20/3*t**3 + 5/3*t**4 = 0. Calculate t.
-1
Let g(h) be the first derivative of -h**5 + 5*h**4/4 + 20*h**3 - 70*h**2 + 80*h + 87. Find m such that g(m) = 0.
-4, 1, 2
Let x be (-36)/(-6)*(4/3)/2. Solve -x*q**4 + 14*q**5 + 4*q**2 + 12 - 12 - 16*q**5 + 2*q = 0 for q.
-1, 0, 1
Let t(a) = 3*a**4 + 40*a**3 + 63*a**2 + 28*a - 2. Let x(v) = -v**4 - v**2 - v - 1. Let l(w) = -t(w) + 2*x(w). Solve l(i) = 0 for i.
-6, -1, 0
Let q(n) = n - 1. Let j(t) = 4*t**3 + 36*t**2 + 74*t + 6. Let z(f) = -j(f) - 6*q(f). Determine i, given that z(i) = 0.
-5, -4, 0
Let d(g) be the third derivative of -g**7/1470 - g**6/126 + g**5/35 - 15*g**3/2 - 25*g**2. Let l(x) be the first derivative of d(x). Factor l(j).
-4*j*(j - 1)*(j + 6)/7
Let f be (168/98)/(((-6)/23)/3). Let d = 22 + f. Let d*w**5 + 4/7*w**2 - 16/7*w**3 + 0*w - 4/7*w**4 + 0 = 0. Calculate w.
-1, 0, 1/4, 1
Factor 14*k - 1071*k**2 - 1 + 13 + 1073*k**2.
2*(k + 1)*(k + 6)
Suppose 3*c = 5*k + 22, 0 = -c - c + 3*k + 14. Suppose -36 = -c*a + a. Suppose 15*z**2 - 11*z**2 - 2*z**3 + 8*z + a*z**2 - 4*z**3 - 18*z**4 = 0. Calculate z.
-2/3, 0, 1
Let n(v) be the first derivative of -4*v**5/45 - 11*v**4/9 + 52*v**3/27 + 22*v**2/9 - 16*v/3 - 92. Determine o so that n(o) = 0.
-12, -1, 1
Let u = 135 + -673/5. Let v = -5237 + 5239. Suppose u*p**v - 4/5 - 2/5*p = 0. What is p?
-1, 2
Determine o, given that -5/3 - 1/6*o**2 - 11/6*o = 0.
-10, -1
Let q(c) be the second derivative of c**4/42 + 3*c**3/7 - 10*c**2/7 - 2*c + 54. Factor q(m).
2*(m - 1)*(m + 10)/7
Let a = -9526/9 - -1061. Let j(t) be the first derivative of 1/2*t**4 + 10/3*t**2 + 4/3*t + 3 - a*t**3. Factor j(u).
(u - 2)**2*(6*u + 1)/3
Let m(t) be the third derivative of t**5/6 + t**4/3 + 4*t**3/15 + 116*t**2. Factor m(k).
2*(5*k + 2)**2/5
Suppose 3*g + 2 - 42 = 5*t, 25 = g - 4*t. Factor 45 + 12*a + 23*a + 5 + g*a**2.
5*(a + 2)*(a + 5)
Suppose t + 2 = -2. Let n be t - (1/2)/(45/(-378)). Factor -n + 1/5*o**2 + 0*o.
(o - 1)*(o + 1)/5
Let t be (20/8 - 4)/(9/60). Let b be (-1)/7 + t/(-10). Let 0 + 2*c**3 - b*c**2 - 10/7*c**5 + 6/7*c**4 - 4/7*c = 0. Calculate c.
-1, -2/5, 0, 1
Let z(w) = 2*w**3 + 9*w**2 - 6*w - 5. Let k be z(-5). Let q(y) be the first derivative of k*y + 6 + 0*y**2 + 2/21*y**3 - 1/14*y**4. Factor q(b).
-2*b**2*(b - 1)/7
Let o be (-3)/(-6)*1 - 12/(-8). What is l in 2*l**o + 50 - 8*l - 12*l + l - l = 0?
5
Solve 20/7*f**3 + 18/7*f**2 + 0 + 0*f + 2/7*f**4 = 0 for f.
-9, -1, 0
Let y(l) be the second derivative of 1/2*l**5 + 1/3*l**3 + 4/3*l**4 + 0 - 2*l**2 - 14*l. Let y(r) = 0. Calculate r.
-1, 2/5
Let v(w) be the second derivative of -5*w*