2
Let p be (32/(-4))/(-1 + -13)*2. Factor 6/7*l**2 + 2/7*l**3 - p + 0*l.
2*(l - 1)*(l + 2)**2/7
Let f(q) be the first derivative of q**6/15 + 3*q**5/10 + q**4/2 + q**3/3 + 10*q + 2. Let r(i) be the first derivative of f(i). Factor r(a).
2*a*(a + 1)**3
Let z be ((-1)/(-1))/(7 - 2). Determine j so that z*j**4 - 1/5*j**2 + 0*j**3 + 0*j + 0 = 0.
-1, 0, 1
Let n(a) be the second derivative of -2*a**7/189 + a**6/27 - a**5/45 - 2*a**4/27 + 4*a**3/27 - a**2/9 - 9*a. What is t in n(t) = 0?
-1, 1/2, 1
Let l(v) = -3*v**3 - 12*v**2 + 24*v - 16. Let b(y) = 2*y**3 + 6*y**2 - 12*y + 8. Let d be (4 + -7)/(2/2). Let t(w) = d*l(w) - 5*b(w). Factor t(f).
-(f - 2)**3
Find k, given that -1/2*k**3 + 1/2*k**5 + 0 + k**4 - k**2 + 0*k = 0.
-2, -1, 0, 1
Let d(j) be the second derivative of -j**5/80 + j**4/24 - j**3/24 - 5*j. Solve d(p) = 0 for p.
0, 1
Let p = 11 - 11. Let v(k) be the third derivative of 0 + 1/30*k**5 - 2*k**2 + p*k**6 - 1/6*k**3 - 1/210*k**7 + 0*k**4 + 0*k. Find u such that v(u) = 0.
-1, 1
Let j(s) be the first derivative of 7*s**4/6 - 10*s**3/9 - 16*s**2/3 - 8*s/3 - 1. Factor j(k).
2*(k - 2)*(k + 1)*(7*k + 2)/3
Suppose 4*g - 12 = -4*t, 0 = -g - 0*g + 5*t - 27. Let s be (-32)/(-20) + g/5. Factor 0*d + 0 - 2/5*d**5 - 6/5*d**3 + 2/5*d**2 + s*d**4.
-2*d**2*(d - 1)**3/5
Factor -65*y**3 - 55*y**4 - 1290*y - 10*y**2 + 1290*y.
-5*y**2*(y + 1)*(11*y + 2)
Suppose 10 = 4*t + i - 0*i, 4*t + 5*i = 2. Suppose 0 + 2/13*g**t + 2/13*g - 4/13*g**2 = 0. Calculate g.
0, 1
Let z(y) be the second derivative of y**7/70 + 2*y**6/75 + y**5/100 - 6*y. Suppose z(w) = 0. Calculate w.
-1, -1/3, 0
Let z = 4 - 1. Factor z*m**2 + 18*m - 3 + 19 + 11.
3*(m + 3)**2
Let s(i) be the first derivative of -i**4/42 - 2*i**3/21 + 3*i**2/7 + 5*i + 4. Let b(u) be the first derivative of s(u). Factor b(n).
-2*(n - 1)*(n + 3)/7
Let s be ((-220)/55)/(1*-9 - 1). Find c such that 2/5*c**5 + 0*c**3 + s*c**4 + 0*c**2 + 0 + 0*c = 0.
-1, 0
Let s(t) be the second derivative of 2*t + 0*t**5 + 2/21*t**7 - 2/15*t**6 + 0*t**2 + 0 + 0*t**3 + 0*t**4. Factor s(o).
4*o**4*(o - 1)
Let q(d) be the third derivative of -1/96*d**4 + 0*d**3 - 1/240*d**5 + 1/480*d**6 + 0 + d**2 + 0*d + 1/840*d**7. Factor q(m).
m*(m - 1)*(m + 1)**2/4
Let i(l) = l**2 + 21*l + 10. Let g be i(-20). Let h be ((-40)/150)/(4/g). Determine s so that -2/3*s**5 + 0 - 2/3*s**2 - 4/3*s + 2*s**3 + h*s**4 = 0.
-1, 0, 1, 2
Let i(h) be the third derivative of -3*h**7/560 - h**6/120 + 3*h**5/80 + h**4/8 - h**3/3 + 5*h**2. Let p(w) be the first derivative of i(w). Factor p(v).
-3*(v - 1)*(v + 1)*(3*v + 2)/2
Let o(z) be the first derivative of -2*z - z**2 - 1/6*z**3 - 2. Factor o(j).
-(j + 2)**2/2
Let s = 622/3 - 207. Factor -1/6*i**4 + 1/6*i - 1/6 - s*i**3 + 1/6*i**5 + 1/3*i**2.
(i - 1)**3*(i + 1)**2/6
Suppose 4 + 36 = 5*s. Factor 4*k**2 - s - 5*k + k + 0.
4*(k - 2)*(k + 1)
Let f(j) = j**2 + j - 4. Let i be f(-3). Let -7*p**2 - 2*p**3 + 7*p**2 + 4*p + 2*p**i = 0. Calculate p.
-1, 0, 2
Let i(y) = y**2 + 7*y + 3. Let a be i(-7). Factor -2/7*o**2 + 0 + 0*o**a + 2/7*o**4 + 0*o.
2*o**2*(o - 1)*(o + 1)/7
Let x = -63 + 631/10. Let y(g) be the first derivative of -2 + 0*g + 0*g**2 - x*g**4 - 4/15*g**3. Factor y(n).
-2*n**2*(n + 2)/5
Let p(c) be the third derivative of -1/210*c**7 + 5*c**2 + 0 - 1/60*c**5 + 1/1344*c**8 + 1/96*c**4 + 0*c**3 + 1/80*c**6 + 0*c. Factor p(o).
o*(o - 1)**4/4
Let s(u) be the first derivative of -u**6/3 + 3*u**5/5 - 7*u**4/16 + u**3/6 - 3*u**2/2 + 3. Let j(f) be the second derivative of s(f). What is x in j(x) = 0?
1/4, 2/5
Let z = 131401/120 - 1095. Let m(k) be the third derivative of 0*k**3 - 1/600*k**6 - z*k**4 + 0 + 2*k**2 + 1/150*k**5 + 0*k. Find d such that m(d) = 0.
0, 1
Factor 0*c - 4/3*c**4 + 2/3*c**3 + 2/3*c**5 + 0*c**2 + 0.
2*c**3*(c - 1)**2/3
Let w be (0 + 1)*-1 - -3. Suppose w*t - 10 = -5*k, -3*t - t + 20 = 0. Suppose -1/2*c**4 + k + c**3 - 1/2*c**2 + 0*c = 0. Calculate c.
0, 1
Solve 0 - 4/5*p**2 + 4/5*p = 0 for p.
0, 1
Let i = -8/45 + 2/5. Determine y so that 2/9*y**2 + i + 4/9*y = 0.
-1
Let t = -11 + 13. What is n in -5*n**3 + 26*n**t + 8 + 0*n**3 - 27*n + 2*n**4 - 7*n**3 + 3*n = 0?
1, 2
Let r be -3*16/(-170) + (-58)/(-493). Solve r*m**2 + 0 + 2/5*m = 0.
-1, 0
Let o(w) be the first derivative of -w**3/9 + w**2/2 + 4*w/3 + 3. Determine b, given that o(b) = 0.
-1, 4
Let s(c) be the third derivative of 2*c**7/105 - c**6/15 + c**5/15 - 5*c**2. Factor s(l).
4*l**2*(l - 1)**2
Factor -8 + 344*r - 16*r**2 + 4*r**3 - 324*r + 0*r**3.
4*(r - 2)*(r - 1)**2
Let s(q) = -15 - 3 - 9 - 18 - 27*q. Let n(w) = w**2 + 53*w + 91. Let u(l) = 3*n(l) + 5*s(l). Find d, given that u(d) = 0.
-4
Factor 2/3*z**3 - 2*z**2 + 0*z + 0.
2*z**2*(z - 3)/3
Let y(j) be the first derivative of 0*j - 7/20*j**5 + 5 - 1/24*j**6 - 9/8*j**4 - j**2 - 5/3*j**3. Factor y(d).
-d*(d + 1)*(d + 2)**3/4
Let s(u) be the second derivative of u**7/42 - 7*u**6/30 + 9*u**5/10 - 5*u**4/3 + 4*u**3/3 - 21*u. Find q such that s(q) = 0.
0, 1, 2
Let f(y) be the first derivative of -3*y**5/5 - 3*y**4/4 - 2. Factor f(l).
-3*l**3*(l + 1)
Let o(m) be the second derivative of -5/21*m**3 - 1/14*m**4 + 3*m - 2/7*m**2 + 0 + 1/70*m**5 + 1/105*m**6. Factor o(n).
2*(n - 2)*(n + 1)**3/7
Let y(v) be the first derivative of 2*v**6/3 - 4*v**5/5 - v**4 + 4*v**3/3 - 1. Find z, given that y(z) = 0.
-1, 0, 1
Factor 0 + 2/7*d - 12/7*d**2.
-2*d*(6*d - 1)/7
Solve u - 2*u - u**2 - 12 + 14 = 0 for u.
-2, 1
Let b(s) be the second derivative of s**5/180 - s**4/72 + 3*s**2/2 - s. Let n(d) be the first derivative of b(d). Factor n(i).
i*(i - 1)/3
Let x be (-203)/35 + (11 - 4). Suppose -x*g - 2/5*g**2 - 4/5 = 0. Calculate g.
-2, -1
Let k = -34 - -34. Suppose -1/3*t**4 + 0*t**3 + k*t + 0 - 1/3*t**5 + 0*t**2 = 0. What is t?
-1, 0
Let h be -2*(-37)/24 - 3. Let t(d) be the second derivative of 1/20*d**5 + 0 - 2*d + h*d**4 + 0*d**2 - 1/30*d**6 - 1/42*d**7 + 0*d**3. Factor t(o).
-o**2*(o - 1)*(o + 1)**2
Let m be 26/7 - (-8)/28. Let t = m - 1. Let -3*c**3 + 4*c**t - 4*c**2 + 5*c**3 + 2*c - 4*c**3 = 0. Calculate c.
0, 1
Let v(n) be the first derivative of -27*n**5/40 + 63*n**4/32 - 2*n**3 + 3*n**2/4 + 13. Factor v(i).
-3*i*(i - 1)*(3*i - 2)**2/8
Solve 2/9*t**4 + 2/3*t**2 + 0 - 2*t + 10/9*t**3 = 0.
-3, 0, 1
Let w(x) be the third derivative of 2*x**7/21 + x**6/10 - 7*x**5/15 - x**4/2 + 4*x**3/3 - 2*x**2. Determine v so that w(v) = 0.
-1, 2/5, 1
Let k be (-8)/16 + (-282)/8. Let x = k + 36. Factor 1/4*h**3 + 0 + 0*h + 0*h**2 - x*h**4.
-h**3*(h - 1)/4
Let i(d) be the first derivative of 4*d**3/21 - 2*d**2/7 + 9. Factor i(f).
4*f*(f - 1)/7
Let m = -4 - -6. Factor d - m*d + 1 - 3*d + 3*d**2.
(d - 1)*(3*d - 1)
Let x(b) be the second derivative of b**7/1890 + b**6/1620 - 2*b**3/3 - 5*b. Let j(r) be the second derivative of x(r). Factor j(w).
2*w**2*(2*w + 1)/9
Let h(l) = 3*l**4 + 7*l**3 - l**2 - 9*l + 2. Let c(f) = 30*f**4 + 69*f**3 - 9*f**2 - 90*f + 21. Let q(r) = -2*c(r) + 21*h(r). Factor q(m).
3*m*(m - 1)*(m + 1)*(m + 3)
What is i in -1/4*i + 5/8*i**2 + 0 = 0?
0, 2/5
Let g(x) = x**2 + 9*x + 2. Let c be g(-9). Determine z, given that 0 - c*z + 2*z**3 + 0 = 0.
-1, 0, 1
Let v(b) be the first derivative of b**6/4 - b**5/10 - 3*b**4/4 + b**3/3 + 3*b**2/4 - b/2 + 19. Find j such that v(j) = 0.
-1, 1/3, 1
Solve 2/7*m**4 - 1/7*m**5 + 0*m**3 + 0 + 1/7*m - 2/7*m**2 = 0.
-1, 0, 1
Let p(b) = -39*b**3 - 66*b**2 - 27*b + 27. Let g(n) = 3*n**3 + 5*n**2 + 2*n - 2. Let r(q) = -27*g(q) - 2*p(q). Determine o, given that r(o) = 0.
-1, 0
Suppose -2*g = 5*p - 83, 6 + 5 = p - g. Solve -6 + 20*o**2 + p*o**3 + 2 + 11*o**2 = 0.
-2, -2/5, 1/3
Let t(j) be the first derivative of j**4/3 - 4*j**3/3 + 2*j**2 + 7*j - 3. Let d(c) be the first derivative of t(c). Find l, given that d(l) = 0.
1
Let l(a) = 2*a + 8. Let c be l(-3). Let j(h) be the second derivative of -h**3 - 1/10*h**5 - 1/2*h**4 + 3*h + 0 - h**c. Factor j(q).
-2*(q + 1)**3
Determine i, given that 0 - 1/2*i**2 - 3/2*i = 0.
-3, 0
Let y(w) be the first derivative of 2*w**3/21 + 4*w**2/7 + 8*w/7 - 38. Factor y(s).
2*(s + 2)**2/7
Let c be (-4)/(4 - (-50)/(-11)). Let x(v) be the first derivative of -2*v**2 - 14/5*v**5 - 1 - c*v**3 - 8*v**4 + 0*v. What is m in x(m) = 0?
-1, -2/7, 0
Let q = -21 + 21. Let c be 4 - ((-3)/(-3) + q). What is z in 0*z - 1/5*z**4 + 0 - 4/5*z**2 - 4/5*z**c = 0?
-2, 0
Find 