f - 1)**2*(f + 1)**2
Let h(v) = -3*v**2 - 9. Let r(m) = -1 - 12 - 100*m**2 - 4 + 95*m**2. Let u(w) = 11*h(w) - 6*r(w). Find s, given that u(s) = 0.
-1, 1
Let u = -16 - -17. Let c be u + 3 + 66/(-27). Find z, given that -8/9 - 2/9*z**2 + c*z**3 + 2/9*z**5 - 16/9*z + 10/9*z**4 = 0.
-2, -1, 1
Let n(m) = 3*m - 15. Let p be n(11). Suppose -h - 32 = -4*u + 3, -p = -3*u - 2*h. Factor 6*l - 21*l**2 - 15*l**4 + 11*l**5 - u*l**5 + 31*l**3 - 4*l**3.
3*l*(l - 2)*(l - 1)**3
Let f(z) be the second derivative of 1/15*z**6 + 2/3*z**4 + 0*z**3 - z + 0*z**2 - 2/5*z**5 + 0. Factor f(v).
2*v**2*(v - 2)**2
Let j(u) be the first derivative of -6*u**5/35 - 15*u**4/14 + 12*u**3/7 + 96*u**2/7 - 192*u/7 + 85. Suppose j(a) = 0. What is a?
-4, 1, 2
Suppose 9*d - 1 + 10 = 0. Let m be ((-4)/6)/d - (-38 - -38). Determine s, given that 0 - 2/3*s**2 + m*s = 0.
0, 1
Let b(f) be the second derivative of 1/14*f**4 + 0 + 2/21*f**3 - 1/35*f**6 - 1/147*f**7 + 18*f + 0*f**2 - 1/70*f**5. Find i, given that b(i) = 0.
-2, -1, 0, 1
Let x(w) be the first derivative of -w**6/6 + w**5/5 + w**4/4 - w**3/3 - 37. Factor x(n).
-n**2*(n - 1)**2*(n + 1)
Let t(y) = 2*y**2 + 13*y + 35. Let f be t(-5). Factor f*o - 5*o**3 - 8*o**2 - 2*o**2 - o - 4*o.
-5*o*(o - 1)*(o + 3)
Let o(x) = 4*x**3 - 8*x**2 - 214*x - 68. Let m(l) = 19*l**3 - 39*l**2 - 1070*l - 339. Let j(n) = -4*m(n) + 22*o(n). Solve j(u) = 0.
-5, -1/3, 7
Suppose 3*q = 5*l - 301 + 40, 0 = -5*q - 5*l - 475. Let g = q + 92. Factor 1/3*o**4 + g*o**3 + 0 + 0*o**2 + 0*o.
o**4/3
Let m(r) be the third derivative of r**5/105 - r**4/42 - 46*r**2 - r. Let m(k) = 0. Calculate k.
0, 1
Let n(y) be the third derivative of -y**5/390 + 61*y**4/156 + 183*y**2 - y. Suppose n(l) = 0. Calculate l.
0, 61
Let k(b) be the first derivative of -6/5*b + 1/5*b**3 + 44 + 3/10*b**2. Solve k(h) = 0 for h.
-2, 1
Let o(k) be the third derivative of -1/336*k**8 + 0*k + 0*k**3 + 0 + 1/105*k**7 - 1/30*k**5 + 11*k**2 + 0*k**4 + 1/120*k**6. Factor o(n).
-n**2*(n - 2)*(n - 1)*(n + 1)
Suppose -64 = -79*j + 63*j. Let f(z) be the second derivative of 0*z**3 + 0 - 10*z + 3/20*z**5 + 0*z**2 - z**j. Determine y so that f(y) = 0.
0, 4
What is q in -1800*q**2 - 67*q - 2 + 17*q - 70*q = 0?
-1/30
Let w(u) = -3*u**2 + 2*u + 3. Let a(s) = s**2 - s - 1. Let b(i) = -2*a(i) - w(i). Let n(h) = 2*h**2 - 2. Let z(r) = 7*b(r) - 5*n(r). Find m such that z(m) = 0.
-1, 1
Let d(y) be the third derivative of y**8/336 + 4*y**7/105 + 105*y**2. Factor d(g).
g**4*(g + 8)
Suppose -7*a + 14 = -5*a. Let i = a + -7. Factor 3*r + 3*r**5 + 6*r**5 - 6*r**3 - 6*r**5 + i*r**3.
3*r*(r - 1)**2*(r + 1)**2
Let z be 12/66 + (-1654)/22. Let k be (-4)/(-6) + 20/z. Factor k*w**4 + 8/5*w - 6/5*w**3 + 0*w**2 + 0.
2*w*(w - 2)**2*(w + 1)/5
Factor 3*t**4 + 4560*t + 2*t**5 + 4*t**3 - 4560*t + 7*t**4 - 16*t**2.
2*t**2*(t - 1)*(t + 2)*(t + 4)
Suppose -4*v**2 + 28*v + 2*v**2 + 82 - 130 = 0. Calculate v.
2, 12
Let g be (-2)/(-17) - (3 + 8973/(-3060)). Let k(i) be the third derivative of 4*i**2 + 0*i**3 + 0*i + g*i**5 + 0 + 1/8*i**4. Factor k(y).
3*y*(y + 1)
Let x(j) = 5*j - 7. Let k be x(1). Let b(p) = p + 4. Let n be b(k). Solve 26/7*u**4 - 44/7*u - n*u**2 - 8/7 + 5*u**3 + 5/7*u**5 = 0.
-2, -1/5, 1
Suppose 22*l + 72 = 30*l. Suppose -l + 3 = -3*k. Factor 4/5*c**k + 2/5*c**3 + 0 + 0*c.
2*c**2*(c + 2)/5
Let g(z) = -z**3 + 2*z**2 + z + 1. Let w(r) = -7*r**3 + 17*r**2 + 7*r + 7. Let q(i) = 40*g(i) - 5*w(i). What is m in q(m) = 0?
-1, 1
Let b(q) be the second derivative of q**5/20 + q**4/4 + q**3/2 + q**2/2 - 91*q. Factor b(h).
(h + 1)**3
Let i(n) be the third derivative of -n**7/1260 + n**6/144 - n**5/60 - 9*n**2 + 2. What is f in i(f) = 0?
0, 2, 3
Factor -2/9*k**2 + 0 + 2/9*k.
-2*k*(k - 1)/9
Factor 18*j**4 - 21304 - 34*j**2 + 50*j + 21296 - 8*j - 66*j**3.
2*(j - 4)*(j + 1)*(3*j - 1)**2
Let l = -493 - -493. Let j(s) be the second derivative of l*s**2 + 0 + 0*s**3 - 3*s + 1/30*s**5 + 1/18*s**4. Find q, given that j(q) = 0.
-1, 0
Let m be 2/(-23) + 266/3059. Let l(b) be the second derivative of -4/21*b**3 + m + 1/5*b**6 + 0*b**2 - 4/7*b**4 - 29/70*b**5 + 4*b. What is j in l(j) = 0?
-1/3, -2/7, 0, 2
Let z = 447/5 + -1783/20. Let k(g) be the second derivative of -3/4*g**5 - z*g**3 + 9/40*g**6 - g + 13/16*g**4 + 0 + 0*g**2. Factor k(c).
3*c*(c - 1)**2*(9*c - 2)/4
Let f(a) be the first derivative of 4*a**3/3 + 108*a**2 - 67. Factor f(l).
4*l*(l + 54)
Let o(r) be the third derivative of -r**6/120 - 7*r**5/30 - 5*r**4/2 - 12*r**3 + 37*r**2. Solve o(b) = 0 for b.
-6, -2
Let q(j) be the first derivative of j**4/38 + 14*j**3/57 + 16*j**2/19 + 24*j/19 + 198. Solve q(c) = 0.
-3, -2
Suppose -6*m + m**2 + 7*m + 9*m + 9*m + 18 + 0*m = 0. What is m?
-18, -1
Let t(a) be the second derivative of 5/42*a**7 + 0*a**2 - 3*a**3 - 13/4*a**4 - 24*a + 5/4*a**5 + 9/10*a**6 + 0. Let t(q) = 0. What is q?
-3, -2/5, 0, 1
Let c be -1 - 0 - (-72)/24. Solve -2*k - 4 + 32*k**2 + c - 30*k**2 + 2*k**3 = 0.
-1, 1
Suppose 8 = -4*m + 6*m. Suppose -110*u**2 - 5*u**3 - 2 - 55*u**5 + 12 + 100*u**m + 25*u**3 + 35*u = 0. What is u?
-1, -2/11, 1
Let v be 3 + -1*(-5 + 4) + -1. Let s(u) be the third derivative of 2*u**2 + 1/40*u**6 + 5/8*u**4 - u**v + 0 - 1/5*u**5 + 0*u. Factor s(o).
3*(o - 2)*(o - 1)**2
Let n(x) be the third derivative of x**7/3780 - x**5/180 + x**4/54 - 3*x**3 + 6*x**2. Let j(h) be the first derivative of n(h). Factor j(w).
2*(w - 1)**2*(w + 2)/9
Let z(a) be the second derivative of a**5/80 + a**4/4 - 13*a**3/24 + 4*a - 9. Determine b, given that z(b) = 0.
-13, 0, 1
Let y(z) be the third derivative of z**8/1680 + z**7/105 + 3*z**6/200 - 504*z**2. Find h such that y(h) = 0.
-9, -1, 0
Let p = 629 - 629. Let n(d) be the third derivative of -1/60*d**5 + p*d**3 + 0 + 0*d - 7*d**2 + 1/12*d**4. Factor n(s).
-s*(s - 2)
Let s(k) be the third derivative of 0*k**5 + 0*k + 0 + 0*k**7 - 1/570*k**6 + 1/228*k**4 + 1/3192*k**8 - 14*k**2 + 0*k**3. Let s(o) = 0. What is o?
-1, 0, 1
Factor 6/5*b**4 + 3/5*b**5 + 0*b + 0*b**2 - 9/5*b**3 + 0.
3*b**3*(b - 1)*(b + 3)/5
Factor 21*z - 16*z**3 + 10*z**4 - 5*z - 3*z**4 - 11*z**4 + 16 - 12*z**2.
-4*(z - 1)*(z + 1)*(z + 2)**2
Let x(r) = -14*r**3 + r**2 + 4*r - 1. Let n(s) = s**3 + s**2 + s - 1. Let m(l) = -2*l + 29. Let d be m(12). Let w(y) = d*n(y) + x(y). Factor w(p).
-3*(p - 1)*(p + 1)*(3*p - 2)
Let k(d) = 2*d**2 - 12*d - 27. Let o be k(8). Let w(r) be the second derivative of 1/5*r**4 + 3/100*r**5 + 1/2*r**3 + 3/5*r**2 + o*r + 0. Factor w(p).
3*(p + 1)**2*(p + 2)/5
Let t(w) be the second derivative of 2*w**4/3 - 34*w**3/3 - 60*w**2 - 47*w + 2. Factor t(y).
4*(y - 10)*(2*y + 3)
Let n(a) = -2*a**2 + 8*a + 1. Let z be n(6). Let m = 27 + z. Factor -16*l**2 - 64/3*l - 32/3 - 16/3*l**3 - 2/3*l**m.
-2*(l + 2)**4/3
Let m(y) = 204*y**2 - 1851*y + 156. Let h(j) = -41*j**2 + 370*j - 32. Let t(i) = -21*h(i) - 4*m(i). Factor t(k).
3*(k - 8)*(15*k - 2)
Let q(b) be the first derivative of 3*b**5/5 + 27*b**4/4 + 24*b**3 + 24*b**2 + 55. Let q(m) = 0. What is m?
-4, -1, 0
Suppose -3*n + 2 - 14 = 5*b, 0 = n - 1. Let z be -3*(3 + 11*1/b). Factor 2/3*y**z + 0 - 2*y.
2*y*(y - 3)/3
Suppose -4*r + 15 = -3*m - 4, 5*m - 36 = -3*r. Let d be -10*r/(2975/(-10)). Factor 6/17*q**2 - 2/17*q**4 + d - 2/17*q**3 + 10/17*q.
-2*(q - 2)*(q + 1)**3/17
Let m be ((-23)/(2024/16))/(8/(-22)). Determine x, given that -1 + m*x + 1/2*x**2 = 0.
-2, 1
Let m(o) be the first derivative of -2 + 0*o + 1/6*o**4 - 2/9*o**3 + 0*o**2. Solve m(q) = 0.
0, 1
Let d(q) = -q**4 - 3*q**3 - q**2. Let v(m) = m**4 + m**3 + m**2. Suppose 7 = 3*w + 34. Let r be 2/w + 50/(-18). Let f(t) = r*d(t) - 5*v(t). Factor f(h).
-2*h**2*(h - 1)**2
Factor -2*k**3 + 64*k + 7*k**2 + k**4 + 3*k**3 - 8*k**3 - 8*k**3 + 41*k**2.
k*(k - 8)**2*(k + 1)
Let f(i) = 3 + 4 - 4. Let v(g) = 3*g**3 - 2*g**2 - g + 4. Let x(u) = 2*u**3 - u**2 - u. Let k(j) = -v(j) + 2*x(j). Let y(q) = 4*f(q) + 3*k(q). Factor y(l).
3*l*(l - 1)*(l + 1)
Suppose -15*m + 14*m - 63 = 0. Let v be m/(-105)*(-2)/(-3). Suppose v*d + 1/5 + 1/5*d**2 = 0. Calculate d.
-1
Let m(w) be the second derivative of -w**6/75 + 2*w**5/25 - 2*w**4/15 + 93*w. What is z in m(z) = 0?
0, 2
What is t in -4 + 4/3*t**2 + 10/3*t - 2/3*t**3 = 0?
-2, 1, 3
Let u be 3/(-9) + -2 + 160/30. Find s such that 0 + 1/4*s**5 - s**4 - s + 3/4*s**u + s**2 = 0.
-1, 0, 1, 2
Let h(o) be the third d