 Let w be (-6)/14*r/8. Factor -2*y + 0 + w*y**3 + 0*y**2 + 1/2*y**4.
y*(y - 1)*(y + 2)**2/2
Let r(d) = -d**5 + d**4 - d**3 - d. Let u(p) = -p**4 - 16*p + 4*p**3 + 4 + 0*p**3 + 8*p**2 - 7*p**4. Let v(m) = -4*r(m) + u(m). Factor v(o).
4*(o - 1)**4*(o + 1)
Let m(s) = -598*s - 2388. Let c be m(-4). Factor -1/2*o**c + 0*o + 0 + 1/2*o**2 - 1/4*o**3 + 1/4*o**5.
o**2*(o - 2)*(o - 1)*(o + 1)/4
Determine w, given that 3*w**3 - 26*w + 24 - w + 57 - 9*w**2 = 0.
-3, 3
Let y(b) be the third derivative of -b**7/80 - 99*b**6/160 + 357*b**5/160 - 23*b**4/16 - 15*b**3/4 + 296*b**2. Let y(d) = 0. Calculate d.
-30, -2/7, 1
Suppose -6*c + 800 = -478. Determine l, given that 20*l - 4*l**2 + 104 + 133 - c = 0.
-1, 6
Let o(i) be the second derivative of -34*i - 1/15*i**6 - 5/6*i**4 + 0*i**2 + 2/3*i**3 + 0 + 2/5*i**5. Factor o(m).
-2*m*(m - 2)*(m - 1)**2
Let t(n) be the second derivative of 3*n**5/5 + 73*n**4/18 + 76*n**3/9 + 4*n**2/3 - 64*n - 2. Factor t(d).
2*(d + 2)**2*(18*d + 1)/3
Let f(i) be the third derivative of 2*i**7/105 + 11*i**6/30 + 8*i**5/5 - 6*i**4 - i**2 + 3*i. Suppose f(u) = 0. Calculate u.
-6, 0, 1
Let f(u) = 12*u**3 - 15*u**2 - 15*u + 21. Let v(o) = -o**4 + o**3 - o**2 + o + 1. Let g = 56 + -53. Let b(p) = g*v(p) + f(p). Factor b(m).
-3*(m - 2)**3*(m + 1)
Let w(f) be the second derivative of -f**4/84 - f**3/42 - 28*f - 1. Factor w(i).
-i*(i + 1)/7
Suppose 4*m = 5*r + 17, 2*r + 4 + 4 = 2*m. Factor -22*z**4 - m*z**5 - z**3 - 2*z**3 + 16*z**4.
-3*z**3*(z + 1)**2
Let r be (-34 + 34)/(9 + -7). Determine v, given that -1/5*v**5 + r*v + 0*v**3 + 0*v**2 - 1/5*v**4 + 0 = 0.
-1, 0
Let m be (-6)/10*((-7)/21 - 1). Factor -m*a + 0 + 16/5*a**2 - 16/5*a**3.
-4*a*(2*a - 1)**2/5
Let y be (-167)/(-1169) + 30/14. Factor 32/7 + y*n + 2/7*n**2.
2*(n + 4)**2/7
Let n(f) be the third derivative of f**7/280 + f**6/8 + 15*f**5/8 + 125*f**4/8 - 2*f**3/3 - 3*f**2. Let l(g) be the first derivative of n(g). Factor l(m).
3*(m + 5)**3
Let r be (-66)/1*3/9*-1. Let z be r/(-14) - (2 + (-10 - -6)). Factor 8/7*b**2 - 4/7*b - z*b**3 + 0.
-b*(b - 2)*(3*b - 2)/7
Let t(w) be the third derivative of -w**6/180 + w**4/12 + 2*w**3/9 + 2*w**2 + 37. Factor t(j).
-2*(j - 2)*(j + 1)**2/3
Let f(g) be the first derivative of g**6/36 + 13*g**5/30 - 17*g**4/24 - 37*g**3/18 + 17*g**2/3 - 14*g/3 + 246. Determine a, given that f(a) = 0.
-14, -2, 1
Suppose 2*z - s - s = 8, -2*s = 2. Determine k so that k**2 + 194 + 10*k**z - 10*k - 189 - 6*k**2 = 0.
-1, 1/2, 1
Let t(s) be the third derivative of s**5/150 + s**4/3 + 19*s**3/15 - 98*s**2. Let t(k) = 0. Calculate k.
-19, -1
Let d(y) be the third derivative of -1/9*y**3 + 0 + 1/180*y**5 + 0*y + 8*y**2 + 1/72*y**4. Let d(g) = 0. What is g?
-2, 1
Let g(b) be the third derivative of 1/2*b**5 + 7/24*b**3 + 0 + 19*b**2 - 19/32*b**4 - 1/30*b**6 + 0*b. Factor g(y).
-(y - 7)*(4*y - 1)**2/4
Let i(g) be the second derivative of 5*g**4/12 - 5*g**3/2 - 10*g**2 + 7*g - 2. Solve i(z) = 0 for z.
-1, 4
Let x(m) = m**3 + 4*m**2 - 125*m. Let z(j) = 4*j**3 + 16*j**2 - 376*j. Let n(o) = -8*x(o) + 3*z(o). Factor n(k).
4*k*(k - 4)*(k + 8)
Let i(q) = -11*q**3 + 4*q - 7. Let t(n) = -5*n**3 + 2*n - 3. Let o(m) = -6*i(m) + 14*t(m). Factor o(g).
-4*g*(g - 1)*(g + 1)
Let a = 10/1373 - -53467/10984. Factor a - 3/8*t**2 + 9/2*t.
-3*(t - 13)*(t + 1)/8
Factor 14/3*s + 0 + 17/9*s**3 + 1/9*s**5 + 71/9*s**2 - 11/9*s**4.
s*(s - 7)*(s - 6)*(s + 1)**2/9
Let h(q) be the second derivative of -21*q**5/80 - 17*q**4/16 - 13*q**3/8 - 9*q**2/8 + q - 22. Let h(r) = 0. What is r?
-1, -3/7
Let r(b) = 2*b**2 - 59*b + 182. Let k be r(26). Let o(t) be the second derivative of 0 - 1/42*t**4 - 2*t + k*t**2 - 2/21*t**3. Determine s, given that o(s) = 0.
-2, 0
Let f(w) be the first derivative of 0*w + 8 - 1/3*w**3 + 1/3*w**2 + 1/12*w**4. Suppose f(z) = 0. Calculate z.
0, 1, 2
Suppose 2/5*n**4 + 3/5*n**3 + 0*n + 0*n**2 - 1/5*n**5 + 0 = 0. What is n?
-1, 0, 3
Let s = 161/1140 + -11/190. Let t(x) be the second derivative of x**2 - s*x**4 - 1/6*x**3 + x + 0. Factor t(n).
-(n - 1)*(n + 2)
Let t(r) be the third derivative of -r**8/84 - 2*r**7/15 + r**6/15 + 46*r**5/15 - 65*r**4/6 + 50*r**3/3 - 132*r**2 - 2. Factor t(v).
-4*(v - 1)**3*(v + 5)**2
Let w(b) = -b - 3. Let n be w(-6). Suppose -5*r + m = -n*m - 23, 5*m = -2*r - 4. Suppose u + 10*u**3 - r*u + 22*u**3 + 32*u**2 - 2 = 0. What is u?
-1, -1/4, 1/4
Let s(u) be the third derivative of u**5/150 - 3*u**4/10 - 19*u**3/15 + 364*u**2. Determine v so that s(v) = 0.
-1, 19
Let y(v) be the third derivative of 9/8*v**4 + 3/70*v**7 - 3/20*v**5 - 2*v**3 - 1/8*v**6 + 29 + 0*v - v**2. Solve y(z) = 0.
-4/3, 1
Let o(l) be the third derivative of l**6/30 - 28*l**5/15 + 53*l**4/6 - 52*l**3/3 - 241*l**2. Solve o(g) = 0 for g.
1, 26
Let g be (-10 - -9)/(1/(-2)). Factor 3 + 4*y + 25*y**g + 6*y - 22*y**2.
(y + 3)*(3*y + 1)
Let h(z) be the second derivative of z**5/30 + z**4/18 - z**3/9 - z**2/3 + 127*z. Factor h(s).
2*(s - 1)*(s + 1)**2/3
Factor 2/19*d**3 + 20/19*d**2 + 50/19*d + 0.
2*d*(d + 5)**2/19
Solve 14*w**3 - 20*w + 5*w**4 + 2*w**4 + 2*w**4 - 5*w**4 - w**4 - 9*w**2 = 0.
-5, -1, 0, 4/3
What is m in 0 - 3/7*m + 3/7*m**2 = 0?
0, 1
Let w be ((-18)/(-486))/(7/315). Find o, given that 2/3*o**3 + 4/3*o - 1/3 - w*o**2 = 0.
1/2, 1
Let m be ((-1)/3)/((-6)/(-54)). Let h(k) = -k**3 + k**2 + 14*k + 6. Let j be h(m). Suppose j*r - 2/11*r**3 + 0 + 4/11*r**2 = 0. What is r?
0, 2
Let v(z) be the first derivative of -z**9/1512 + z**8/140 - z**7/84 - z**3 + z + 32. Let c(i) be the third derivative of v(i). Determine a, given that c(a) = 0.
0, 1, 5
Let x(i) be the third derivative of i**5/80 - 109*i**4/16 + 11881*i**3/8 - 3*i**2 + 1. Suppose x(j) = 0. What is j?
109
Let t(d) be the first derivative of -3/5*d**5 + 0*d**2 - 1/3*d**3 + 0*d - d**4 - 9. Find m such that t(m) = 0.
-1, -1/3, 0
Let n(f) = -f**4 + f**3 - 2*f. Let d(z) = 30*z**4 - 282*z**3 - 258*z**2 + 690*z - 264. Let b(k) = -d(k) - 3*n(k). Determine y so that b(y) = 0.
-2, 2/3, 11
Let c(r) = 2*r**2 + 6*r + 2. Let p be c(-4). Suppose -w + p - 3 = 0. Factor -3*y**2 - w*y - 2*y**2 + 0*y**2 - 2.
-(y + 1)*(5*y + 2)
Let x(k) be the third derivative of k**6/120 - 7*k**4/24 + k**3 + 58*k**2. Factor x(s).
(s - 2)*(s - 1)*(s + 3)
Factor 32/5*j**2 + 6*j**3 - 4/5 - 58/5*j.
2*(j - 1)*(j + 2)*(15*j + 1)/5
Let h(b) be the first derivative of -b - 4/3*b**3 + 7/30*b**4 - 5 + 4/5*b**2 + 9/50*b**5. Let t(f) be the first derivative of h(f). Let t(d) = 0. Calculate d.
-2, 2/9, 1
Let o(n) be the first derivative of -81*n**4/8 - 75*n**3 + 53*n**2 - 12*n - 653. Factor o(g).
-(g + 6)*(9*g - 2)**2/2
Suppose 0*r + 0 + 1/5*r**2 + 1/5*r**3 = 0. What is r?
-1, 0
Let f be (2/(-3))/((-13699)/8034) - (-6)/(-57). Factor f*y**3 + 2/7*y**2 + 0 + 0*y.
2*y**2*(y + 1)/7
Let w = 5 - -9. Let o = -10 + w. Determine v so that -v**3 - v**3 + 10*v + 2*v**4 + 0*v**4 - 8 + o - 6*v**2 = 0.
-2, 1
Let x(c) = c. Let o(g) = 4*g**2 + 30*g - 10. Let q(i) = -o(i) + 12*x(i). Factor q(t).
-2*(t + 5)*(2*t - 1)
Let z(p) be the third derivative of -p**7/1260 + p**6/144 + 7*p**5/120 - 29*p**4/24 + 5*p**2. Let b(s) be the second derivative of z(s). Factor b(a).
-(a + 1)*(2*a - 7)
Let k(m) = m**2 + 2*m - 25. Let f be k(8). Let n be 1/f + (-36)/(-198). Factor n*o**3 - 2/5*o + 1/5*o**2 + 0.
o*(o - 1)*(o + 2)/5
Let a = 2/4041 + -18509/449. Let z = -41 - a. Solve -1/9*m**4 + 1/9*m**3 - 5/9*m + 1/3*m**2 + z = 0.
-2, 1
Let p(t) = -6*t**3 + 25*t**2 - 7*t - 25. Let z(s) = -3*s**3 + 12*s**2 - 3*s - 12. Let j(g) = 6*p(g) - 13*z(g). Determine i, given that j(i) = 0.
-1, 1, 2
Let s(r) be the first derivative of r**6/21 + 6*r**5/35 + 3*r**4/14 + 2*r**3/21 + 193. Determine m so that s(m) = 0.
-1, 0
Let j be (41/(-820) - (-238)/(-40))*(-2)/20. Factor 0 - 1/5*u**2 - 2/5*u + j*u**3.
u*(u - 1)*(3*u + 2)/5
Let b(m) be the first derivative of -3*m**4 - 22 - 16*m**3 + 260*m**5 - 2*m**2 - 256*m**5 - 6*m**2. Find d such that b(d) = 0.
-1, -2/5, 0, 2
Let y(r) be the first derivative of r**4/4 + 2*r**3/3 - 2*r**2 - r + 1. Let x be y(-3). Let 2*f**x + 0*f**2 + f**2 + 2*f - f**2 - 4 = 0. Calculate f.
-2, 1
Let u(l) be the third derivative of -l**8/28 - 89*l**7/70 - l**6/4 + 55*l**5/4 + 61*l**4/2 + 22*l**3 + 2*l**2 - 23. Solve u(j) = 0.
-22, -1, -1/4, 2
Let t(f) be the second derivative of f**6/6 - f**5/2 - 5*f**4/12 + 5*f*