tive of -j**7/21 - 5*j**6/8 + 29*j**5/12 + 15*j**4/4 + 132*j**2. Factor s(w).
-5*w*(w - 2)*(w + 9)*(2*w + 1)
Let b = 31 + -38. Let w(j) = -3*j - 18. Let d be w(b). Factor c**2 + 5/3*c**3 + 0 - d*c + 1/3*c**4.
c*(c - 1)*(c + 3)**2/3
Let k be (-96532)/48 + 3/(-12). Let h = 2047 + k. Factor -20/3*d + h*d**2 - 4/3 + 110*d**3 - 363*d**4.
-(3*d - 1)**2*(11*d + 2)**2/3
Let w be 2 + (-1 + -2 - -3). Factor -114*i**4 - 6*i + 3*i**w - 3 + 6*i**3 + 117*i**4 - 3*i**2.
3*(i - 1)*(i + 1)**3
Suppose 5*v - 25 = 4*c, -15*c + 5 = -12*c + v. Factor c - 1/3*k - k**2.
-k*(3*k + 1)/3
Let p(d) = -d**2 + 7*d - 10. Let t be p(4). Let 10*x**4 - 9*x**t - 28*x**4 + 11*x**4 + x**4 + 21*x**3 = 0. Calculate x.
0, 1/2, 3
Factor -1/4*a**2 + 2*a + 0.
-a*(a - 8)/4
Let s = 10 - 5. Let i be 9/s - 5/(-25). Find v such that -4*v + v**i + 8*v - 3*v = 0.
-1, 0
Factor 204*y - 3*y**2 - y**2 + 4*y + 104*y.
-4*y*(y - 78)
Let y be (-1 + -9)*(-2)/4. Let c be 1 - (-2)/6*(-19 - -22). Factor 14*s**4 + 17*s**y + 2*s**2 - 10*s**c + 4*s**3 + 3*s**5 + 18*s**4.
4*s**2*(s + 1)**2*(5*s - 2)
Suppose 51 = -n + 4*n. Let i = n - 15. Factor -20*o**i + 3*o + 8 + 5*o + 4*o + 0*o.
-4*(o - 1)*(5*o + 2)
Suppose 4/7*g**3 - 8/7 - 16/7*g + 2/7*g**4 - 6/7*g**2 = 0. What is g?
-2, -1, 2
Let h be 35*2/8 + -5 + 0. Let a be -5 - (-41)/(-8)*-2. Factor 0 - 3/2*t + h*t**2 + a*t**3.
3*t*(t + 1)*(7*t - 2)/4
Let f(w) be the first derivative of -1/2*w**3 + 1/6*w**2 - 2/15*w**5 + 1/2*w**4 - 12 + 0*w. What is z in f(z) = 0?
0, 1/2, 2
Let m = 151/7 - 446/21. Suppose 2/3*b + 0 - b**2 + m*b**3 = 0. What is b?
0, 1, 2
Let t(u) = 2*u**2 + 42*u - 35. Let z(b) = -b**2 - 41*b + 36. Let x(q) = -2*t(q) - 3*z(q). Let x(i) = 0. Calculate i.
1, 38
Suppose 0 = 3*v - 103 + 73. Suppose -5*c + 4*m = -v, 6*m - 8 = -4*c + m. Factor -g**c - 3/2*g**3 + 0 + 0*g.
-g**2*(3*g + 2)/2
Let i(k) be the first derivative of -2*k**3/33 + 100*k**2/11 - 18*k - 266. Solve i(y) = 0 for y.
1, 99
Let q be ((-21)/(-350))/(3/15). Let s(n) be the second derivative of -1/3*n**3 + 0 + 7*n - 1/2*n**4 - q*n**5 + 0*n**2 - 1/15*n**6. Factor s(z).
-2*z*(z + 1)**3
Let a(y) = -y**3 + 2*y**2 + 9*y - 2. Let s be a(4). Factor 0*h**3 - 6*h**s + 0*h - 3*h**3 + 0*h.
-3*h**2*(h + 2)
Let p(b) be the second derivative of -b**6/240 - b**5/10 - 53*b**4/96 - 31*b**3/24 - 3*b**2/2 - 23*b - 4. Suppose p(l) = 0. Calculate l.
-12, -2, -1
Let m(d) be the third derivative of -d**6/180 + 23*d**5/45 - 43*d**4/36 - 10*d**3 + 2*d**2 - 7*d. Factor m(j).
-2*(j - 45)*(j - 2)*(j + 1)/3
Suppose 18 - 134 = -29*h. Let p(o) be the first derivative of -3/5*o + 3/10*o**h - 3/5*o**2 + 3/25*o**5 - 2 + 0*o**3. Find x such that p(x) = 0.
-1, 1
Suppose -9 = -3*f, -5*t + 3*f - 8*f + 185 = 0. Let y(p) = -11*p**2 - 12*p - 1. Let x(c) = -2*c**2 - 2*c. Let v(d) = t*x(d) - 6*y(d). Factor v(w).
-2*(w - 3)*(w + 1)
Let n(m) be the third derivative of 0 + 1/390*m**6 + 0*m + 5/39*m**3 - 11/390*m**5 + 22*m**2 + 1/39*m**4. Let n(i) = 0. Calculate i.
-1/2, 1, 5
Suppose 2/3*q**2 - 164/3*q + 54 = 0. Calculate q.
1, 81
Let o(z) = 3*z - 34. Let l be o(12). Let m(p) = p. Let v be m(l). Factor -2*n - 4/5*n**v - 4/5.
-2*(n + 2)*(2*n + 1)/5
Let u = -25301/8 + 3163. Factor 0*t**2 - 3/4*t**3 + u - 3/8*t**4 + 3/4*t.
-3*(t - 1)*(t + 1)**3/8
Let x(i) be the first derivative of -i**5/35 - 2*i**4/21 + 2*i**3/21 + 4*i**2/7 + 5*i - 1. Let j(v) be the first derivative of x(v). Factor j(k).
-4*(k - 1)*(k + 1)*(k + 2)/7
Let f(j) be the second derivative of -j**4/6 - 10*j**3/3 + 11*j**2 - 119*j. Determine q so that f(q) = 0.
-11, 1
Let w = 23989 + -23987. Suppose -20/9*m**3 - 28/9*m + 4*m**w + 4/9*m**4 + 8/9 = 0. Calculate m.
1, 2
Solve 2*g**2 - 8760*g**3 - 7*g - 2 + 8768*g**3 - g = 0.
-1, -1/4, 1
Factor 0 - 13/5*o**2 + 2/5*o.
-o*(13*o - 2)/5
Suppose -5*s = -5*o + 240, -19 = -o - 2*s + 14. Let b be -2 + o + 5 + -1. Solve -35*c - 49*c**3 + b*c**3 + 36*c**2 - 39*c + 108 - 34*c = 0.
3
Let p(h) be the third derivative of -h**8/3360 - h**7/420 + h**5/15 - 5*h**4/8 + 15*h**2. Let k(x) be the second derivative of p(x). Factor k(j).
-2*(j - 1)*(j + 2)**2
Let b = 2589/2 - 1290. Determine x, given that 3*x**3 + b*x**2 + 3/2*x + 0 = 0.
-1, -1/2, 0
Let o(h) be the first derivative of -h**6/36 + h**5/5 + 17*h**4/12 + 28*h**3/9 + 13*h**2/4 + 5*h/3 + 140. Factor o(m).
-(m - 10)*(m + 1)**4/6
Factor 30 - 8*y - 2/3*y**2.
-2*(y - 3)*(y + 15)/3
Let s(z) be the second derivative of z**7/70 + 3*z**6/20 + 3*z**5/5 + z**4 + 3*z**2/2 + 12*z. Let m(h) be the first derivative of s(h). Solve m(l) = 0.
-2, 0
Let f(w) = -328*w + 3608. Let s be f(11). Factor 5*t**3 + s - 25/2*t**2 + 5*t.
5*t*(t - 2)*(2*t - 1)/2
Suppose 2*u + 12 = 4*h, 2*u = 49*h - 46*h - 9. Factor -3/4*r + 0 + 3/4*r**3 + u*r**2.
3*r*(r - 1)*(r + 1)/4
Let p = -395 + 401. Let r(l) be the second derivative of 1/24*l**4 + 0 + 0*l**3 - 6*l + 0*l**2 + 1/80*l**5 - 1/120*l**p. Factor r(z).
-z**2*(z - 2)*(z + 1)/4
Suppose -60 = 9*p - 3*p. Let k be ((-6)/(-15))/((-2)/p). Let l + 5/4*l**3 - 1/4*l**4 - k*l**2 + 0 = 0. What is l?
0, 1, 2
Suppose 5*c - 9 = -5*h + 3*c, -3*h - 4*c = 3. Factor -b + 8*b - 14*b**2 + 5*b**h - 2*b + 24*b**2.
5*b*(b + 1)**2
Let d(k) be the third derivative of 0*k + 0*k**3 + 3/10*k**6 - 1/10*k**7 - 3/20*k**5 - 1/4*k**4 + 0 - 15*k**2. Factor d(j).
-3*j*(j - 1)**2*(7*j + 2)
Let n(h) be the third derivative of -1/672*h**8 + 1/60*h**5 - 9*h**2 + 0*h + 0 + 1/120*h**6 - 1/48*h**4 - 1/12*h**3 - 1/420*h**7. Find s, given that n(s) = 0.
-1, 1
Let f(i) = 2*i**2 - 2*i - 1. Let s be (0 - -1)/((-1)/(-2)). Suppose s*o + 21 = 5*o. Let y(h) = 5*h**2 - 4*h - 2. Let b(g) = o*f(g) - 3*y(g). Factor b(r).
-(r + 1)**2
Suppose 5*a - 9 = 3*t, 3*a = -2*t + 5*a - 2. Let z be 7720/200 + (-2)/(-20)*-2. Let -80*q**t - 18*q**4 - 336/5*q**3 - 32/5 - z*q = 0. Calculate q.
-2, -2/3, -2/5
Let z(t) = -4*t**2 - 5*t - 4. Suppose -2*c + 2*l = -16, -2*c = -3*c + 4*l + 17. Let x(v) = -5*v**2 - 6*v - 4. Let u(s) = c*x(s) - 6*z(s). Factor u(k).
-(k - 2)*(k + 2)
Suppose -z = -0*z - 3. Let a = 7 + 2. Factor 5*w**3 - 4*w - 3*w**3 - 3*w**2 + a*w**2 - 4*w**z.
-2*w*(w - 2)*(w - 1)
Factor -2*p**4 - 8*p**2 + 3*p**2 - 5*p**2 - 12*p**3.
-2*p**2*(p + 1)*(p + 5)
Find o such that 1/7*o**4 + 0 + 11/7*o**2 - 6/7*o**3 - 6/7*o = 0.
0, 1, 2, 3
Let b(h) be the third derivative of -h**5/240 + 17*h**4/96 - 5*h**3/2 - 127*h**2. Determine v, given that b(v) = 0.
5, 12
Solve 8/3 - 20/3*q**2 - 4/3*q - 8/3*q**3 = 0.
-2, -1, 1/2
Let j(s) be the third derivative of s**6/30 - 79*s**5/5 + 6241*s**4/2 - 986078*s**3/3 - 56*s**2. Factor j(g).
4*(g - 79)**3
Let d(p) be the second derivative of -13*p**4/4 - 5*p**3 + 9*p**2/2 - 51*p. Let d(b) = 0. Calculate b.
-1, 3/13
Let h(c) be the third derivative of c**8/840 - 2*c**7/525 - 28*c**2. Factor h(m).
2*m**4*(m - 2)/5
Let v(a) be the first derivative of 0*a**2 + 0*a - 3/8*a**4 + 5/2*a**3 - 16. Solve v(m) = 0.
0, 5
Let h(c) be the second derivative of c**7/21 + c**6/15 - 11*c**5/10 - 29*c**4/6 - 26*c**3/3 - 8*c**2 + 46*c. Suppose h(v) = 0. What is v?
-2, -1, 4
Suppose 35*k = -26*k + 42*k. Let k + 0*w**3 + 0*w**2 + 0*w - 2/9*w**5 + 4/9*w**4 = 0. Calculate w.
0, 2
Let w be (33/(-6) - -6)*2. Let z be (w + -1)*12/24. Factor 0*f + z + 2/7*f**3 - 4/7*f**2.
2*f**2*(f - 2)/7
Suppose -3*t + 5*q - 8 = 0, 3*t - t = -q + 12. Let z = -10019 - -10022. Let 0*x + x**2 + 0*x**z - 1/5*x**t - 4/5 = 0. What is x?
-2, -1, 1, 2
Let u(m) be the third derivative of 7*m**5/120 - 5*m**4/48 - m**3 - 43*m**2 - 2*m. Determine l so that u(l) = 0.
-1, 12/7
Let z(j) be the second derivative of -5/4*j**4 + 0 + 10/3*j**3 - j**5 - 12*j + 10*j**2 - 1/6*j**6. Find r such that z(r) = 0.
-2, -1, 1
Let p(c) be the third derivative of c**7/735 + c**6/140 + c**5/70 + c**4/84 - 73*c**2. Factor p(w).
2*w*(w + 1)**3/7
Let q(w) = 2*w**2 + 2*w - 2. Let h be q(1). Factor -4*l**2 - 5*l**2 - 4*l + 5*l**h.
-4*l*(l + 1)
Let g(k) be the third derivative of k**6/40 - 129*k**5/20 + 5547*k**4/8 - 79507*k**3/2 - 57*k**2. Solve g(o) = 0 for o.
43
Let v(j) be the second derivative of -3*j**5/5 + j**4/4 + 2*j**3 - 3*j**2/2 - 162*j. Find q, given that v(q) = 0.
-1, 1/4, 1
Let b(t) be the third derivative of 2*t**7/735 + t**6/70 - t**5/35 - 11*t**4/42 - 4*t**3/7 + 104*t**2. What is h in b(h) = 0?
-3, -1, 2
Let a(y) be the third derivative of -y**8/6720 + y**7/840 + y**6/1440 - y**5/12