 + 4*s**2 + 11*s + 10. Let h(p) = -35*u(p) + 4*w(p). Factor h(m).
-5*(m - 2)*(m + 1)**2
Let d(w) be the third derivative of 1/180*w**5 - 1/72*w**4 + 1/360*w**6 - 1/18*w**3 + 0 + 0*w + 14*w**2. Solve d(a) = 0.
-1, 1
Let n(j) be the second derivative of -j**6/80 - 33*j**5/160 - 13*j**4/16 - j**3 - j - 17. Determine z so that n(z) = 0.
-8, -2, -1, 0
Factor -12/7*a**2 - 16/7*a + 0 - 2/7*a**3.
-2*a*(a + 2)*(a + 4)/7
Let b be 4 - ((2 - -2) + -2). Let o be b - 2 - (7 + -10). Factor o*r**3 + 0*r**3 - 56*r + 44*r.
3*r*(r - 2)*(r + 2)
Factor -2700*j + 27000 + 3*j**2 - 64*j**3 + 87*j**2 - 64*j**3 + 127*j**3.
-(j - 30)**3
Let o(a) = -a**3 - a**2. Suppose r + 6 = -r - 4*n, 5*n = -2*r - 8. Let b(q) = 6*q**4 + 9*q**3 + 2*q**2 - 3*q - 2. Let v(z) = r*b(z) - 4*o(z). Factor v(l).
(l + 1)**2*(2*l - 1)*(3*l + 2)
Let j(f) be the third derivative of f**6/40 - f**5/20 + 446*f**2. Solve j(k) = 0.
0, 1
Suppose -5*m - 5*l = -25 - 20, -m = -4*l + 16. Factor 2*s + 11*s**2 - 10*s**2 - 17*s**2 + 0 + m + 10*s**3.
2*(s - 1)**2*(5*s + 2)
Let a(z) = z**3 + 9*z**2 + 7*z - 4. Let w be a(-8). Determine x so that -8*x**2 + 8*x**2 + w*x**4 - 2*x**4 - 4*x**2 + 2*x**3 = 0.
-2, 0, 1
Suppose -4*p - 2 = -10. What is k in -36 - 4*k + 26*k - 5*k**p + k**2 + 2*k = 0?
3
Let p(g) be the second derivative of -g**4/66 + 35*g**3/33 + 36*g**2/11 + 9*g + 21. Determine t so that p(t) = 0.
-1, 36
Let i(q) = -2*q**3 - 10*q**2 + 26*q + 136. Let k be i(-4). Factor k*c**2 - 1/3*c**5 - 1/3*c + 0*c**4 + 2/3*c**3 + 0.
-c*(c - 1)**2*(c + 1)**2/3
Let l(r) be the third derivative of -1/6*r**3 + 0*r - 1/30*r**5 - 1/240*r**6 - 5/48*r**4 + 14*r**2 + 0. Find v such that l(v) = 0.
-2, -1
Let w(g) be the first derivative of 34 + 2/3*g**3 + 0*g**4 - 1/6*g**6 + 0*g - 2/5*g**5 + 1/2*g**2. What is x in w(x) = 0?
-1, 0, 1
Let v(w) be the third derivative of -2/315*w**7 + 0*w**3 + 0 + 0*w - 7/45*w**5 + 0*w**4 - 23*w**2 + 4/45*w**6. Factor v(d).
-4*d**2*(d - 7)*(d - 1)/3
Factor -6/5*c**4 + 0 + 0*c + 2/5*c**2 + 4/5*c**3.
-2*c**2*(c - 1)*(3*c + 1)/5
Suppose 0 = -2*t, 0 = -4*a + 2*t - 0 + 30 - 14. Find s, given that 3*s**3 + 4/3*s + 2/3*s**4 + 0 + a*s**2 = 0.
-2, -1/2, 0
Let z(k) = -k**2 + 9*k + 24. Let l be z(11). Suppose 2 = 2*p - m, -m = 2*p + l*m + 6. Factor 0*a - 2/3*a**3 + p - 4/3*a**2.
-2*a**2*(a + 2)/3
Suppose 2*r - 25 = -3*a, 6*r - 4*r - 4*a = 18. Factor -21*o**2 - 5*o + r*o + 23*o**2.
2*o*(o + 3)
Let i(a) be the first derivative of 8/15*a**3 + 4/25*a**5 + 0*a**2 - 11 - 1/15*a**6 + 7/10*a**4 + 0*a. Factor i(c).
-2*c**2*(c - 4)*(c + 1)**2/5
Let x(y) be the first derivative of 0*y + y**3 - 3/5*y**5 + 22 - 1/2*y**6 + 9/4*y**4 - 3*y**2. Determine i so that x(i) = 0.
-2, -1, 0, 1
Suppose -47 - 1 = -4*a. Suppose -y = 3*z + a, -3*y + 16 = -6*z + 2*z. Solve y*c**2 + 1 - 1/2*c**3 + 3/2*c = 0.
-1, 2
Factor -o**2 - 842 + 5*o**2 + 0*o**2 - 44*o + 882.
4*(o - 10)*(o - 1)
Let h be 5*(0 + 0 - -1). Let i be (-2)/h - (-24)/10. Factor r**3 - 8 - 24*r - 4 - 15*r**i - 4*r**3.
-3*(r + 1)*(r + 2)**2
Let u = -3495/13 + 10537/39. Factor 32*f + 12*f**2 + u*f**3 + 64/3.
4*(f + 1)*(f + 4)**2/3
Let i be (-160)/(-26) + 10/(-65). Let b be ((-2)/i)/(16/(-96)). Factor 2/9*c**4 + 0*c**b + 2/9*c**3 + 0*c + 0.
2*c**3*(c + 1)/9
Let w(l) be the second derivative of -l**6/105 - l**5/28 - l**4/28 - 93*l - 1. Factor w(c).
-c**2*(c + 1)*(2*c + 3)/7
Let m(i) be the first derivative of -2*i**5/35 - i**4/7 + 8*i**3/21 + 8*i**2/7 + 1. Factor m(q).
-2*q*(q - 2)*(q + 2)**2/7
Let t(z) be the third derivative of z**6/300 + z**5/50 - z**4/15 - 4*z**3/5 - 2*z**2 - 10. Factor t(n).
2*(n - 2)*(n + 2)*(n + 3)/5
Let f(v) be the third derivative of -5/8*v**3 + 0*v + 0 + 1/48*v**5 + 5/48*v**4 - 17*v**2. What is g in f(g) = 0?
-3, 1
Suppose -1 = -2*v + 9, -2*b - 4*v = -12. Let f be (-328)/(-104) - b/(-26). Find m, given that 2/7*m - 2/7*m**2 - 2/7*m**f + 2/7 = 0.
-1, 1
Let i(t) be the second derivative of 5*t**7/42 - 17*t**6/6 + 15*t**5/4 + 85*t**4/12 - 40*t**3/3 - t - 12. Find l, given that i(l) = 0.
-1, 0, 1, 16
Factor -79*p + 15 - p - 10*p + 26*p**2 - 82 - 33 + 2*p**4 + 18*p**3.
2*(p - 2)*(p + 1)*(p + 5)**2
Let c(y) = -23*y**4 + 12*y**3 + 25*y**2 - y - 35. Let b(p) = -8*p**4 + 4*p**3 + 8*p**2 - 12. Let r(w) = -11*b(w) + 4*c(w). Factor r(h).
-4*(h - 2)*(h - 1)*(h + 1)**2
Factor -8*z + 3*z - 3*z**3 + 4*z - z**2 + 2*z - z**2.
-z*(z + 1)*(3*z - 1)
Suppose -5*h + 5*j + 34 + 6 = 0, 3*j - 8 = -5*h. Let t = 773/5 - 154. Factor -1/5*o**h + 2/5 + t*o**2 + o - 1/5*o**3.
-(o - 2)*(o + 1)**3/5
Let n = 644 - 379. Factor 0*i**5 + 140*i**2 - 35*i**4 - 20 - n*i**2 - 88*i**3 - 7*i**3 - 5*i**5 - 80*i.
-5*(i + 1)**3*(i + 2)**2
Let l(u) be the first derivative of -3 - 4/5*u**5 + 0*u + 1/6*u**6 - 4/3*u**3 + 3/2*u**4 + 1/2*u**2. Factor l(i).
i*(i - 1)**4
Let y(a) be the first derivative of -a**3/3 - 7*a**2/2 - 6*a + 71. Factor y(w).
-(w + 1)*(w + 6)
Let q(c) = -56*c + 2. Let g be q(0). Let b(f) be the first derivative of 3 - 1/20*f**5 + 0*f + 0*f**4 + 0*f**g + 1/12*f**3. Find i such that b(i) = 0.
-1, 0, 1
Let o(a) be the first derivative of 33*a**4/4 + 68*a**3 + 333*a**2/2 + 54*a - 240. Solve o(r) = 0 for r.
-3, -2/11
Let v be (-1974)/(-63) - 4/3. Let s be -3*3/2*(-20)/v. Factor 3/4*r**s - 3/4*r**4 + 3/2 - 15/4*r + 9/4*r**2.
-3*(r - 1)**3*(r + 2)/4
Let x(p) be the first derivative of -13*p**5/80 - 11*p**4/48 + p**3/12 + 14*p + 20. Let c(z) be the first derivative of x(z). Factor c(o).
-o*(o + 1)*(13*o - 2)/4
Let l(x) be the third derivative of -22*x**2 + 0*x + 3/4*x**5 + 63/8*x**4 + 0 + 1/40*x**6 + 49/2*x**3. Suppose l(n) = 0. Calculate n.
-7, -1
Let b(h) = -5*h**3 + 6*h + 8. Let f be (-122)/7 + (-9)/(-21). Let d(w) = 14*w**3 - w**2 - 19*w - 24. Let n(q) = f*b(q) - 6*d(q). Find s such that n(s) = 0.
-2
Let q = -323 + 1293/4. Let g(b) be the first derivative of q*b**4 - 1/2*b**2 + 0*b**3 - 5 + 1/2*b - 1/10*b**5. What is v in g(v) = 0?
-1, 1
Suppose 212*c + 900 = 156*c + 506*c. What is o in 0*o**c + 0*o + 1/3*o**3 - 4/3*o**5 + 0 - o**4 = 0?
-1, 0, 1/4
Find k, given that -6*k - 12 - 3/4*k**2 = 0.
-4
Suppose 12*c - 26 = 13 - 15. Find a, given that -1/4*a**c + 1/4*a + 0 = 0.
0, 1
Let k(r) be the first derivative of 11/16*r**4 + 1/3*r**3 - 5/8*r**2 - 1/5*r**5 - 1/2*r + 10 - 1/6*r**6. Suppose k(n) = 0. What is n?
-2, -1/2, 1
Let s(x) = 3*x**3 - x - 1. Let w(k) = 51*k**3 - 33*k**2 - 96*k - 66. Let b(q) = -18*s(q) + w(q). Factor b(a).
-3*(a + 1)*(a + 2)*(a + 8)
Let j(g) be the first derivative of -3*g**2 - 3 + 0*g + 1/6*g**3 + 0*g**4 - 1/60*g**5. Let l(y) be the second derivative of j(y). Factor l(q).
-(q - 1)*(q + 1)
Let l(m) be the first derivative of 7*m**5/25 - 3*m**4/2 + 43*m**3/15 - 12*m**2/5 + 4*m/5 + 17. Factor l(w).
(w - 2)*(w - 1)**2*(7*w - 2)/5
Suppose -768 = -7*t - 754. Factor -3/4*b**t + b + 1/4*b**4 - 1/2*b**3 + 1.
(b - 2)**2*(b + 1)**2/4
Let b be -26 + (-812)/(-11 + -18). Solve 9/4*d**b - 3/4*d**3 + 15/4*d + 3/2 - 3/4*d**4 = 0.
-1, 2
Let m = 2/25497 + 33982/178479. Find u, given that m + 2/21*u - 2/21*u**2 = 0.
-1, 2
Let b(g) = 12*g**3 - 45*g**2 + 13*g + 15. Let y(s) = -s**3 + s**2 + 2*s - 1. Let o(w) = -b(w) - 5*y(w). Let o(k) = 0. What is k?
-2/7, 1, 5
Let b be (-34)/187 + (-258)/33 + 10. Determine j, given that 1/3*j**b + 0 + j = 0.
-3, 0
Let t(j) be the third derivative of j**8/84 - 52*j**7/105 + 169*j**6/30 + 297*j**2. Let t(l) = 0. Calculate l.
0, 13
Suppose -4*j - 51 = 1. Let p be -3 - 0 - (1 + 58/j). Suppose 8/13 - 2/13*f**2 - p*f = 0. Calculate f.
-4, 1
Let v = -10 + 15. Let b be 3/(3/(-5)) - -8. Determine k, given that -2*k**3 + v*k**b + 2*k**2 + k**2 = 0.
-1, 0
Let h(f) = f**3 - 8*f**2 - 12*f + 26. Let b be h(9). Let s be b/(-3)*(3 + -6 - -9). Suppose 9/2*i + 3/4*i**s + 27/4 = 0. Calculate i.
-3
Let a(i) = 4*i**2 - 10*i - 34. Let u(s) = 5*s**2 - 10*s - 39. Let b(d) = -6*a(d) + 5*u(d). Factor b(z).
(z + 1)*(z + 9)
Suppose -144/7*r + 24/7*r**2 - 3/7*r**4 + 15/7*r**3 + 0 = 0. What is r?
-3, 0, 4
Let j(x) = x**2 + 6*x + 1. Let v(i) = i**2 + 6*i + 1. Let d(h) = 5*j(h) - 6*v(h). Let b(y) = y. Let u(m) = -4*b(m) - d(m). Determine p, given that u(p) = 0.
-1
Factor 10*i + 5*i**3 + 0 + 1/2*i**4 + 29/2*i**2.
i*(i + 1)*(i + 4)*(i + 5)/2
Suppose 10*s - 2*s**2 + 7*s**4 - s**5 + 15*s**4 + 26*s**3 - 35*s - 66*s**2 + 482 - 436 = 0. Calculate s.
-2, -1, 1, 23
Let p = 299/1316 + -9/47. L