r**7 + 1/300*r**6 + 0 + 0*r + 1/100*r**5 - a*r**2. Factor w(l).
-(l - 2)*(l - 1)**2*(l + 2)/5
Factor -2/5*r**4 - 13520*r - 5304/5*r**2 - 172/5*r**3 - 281216/5.
-2*(r + 8)*(r + 26)**3/5
Let r(h) be the first derivative of h**3/5 - 858*h**2/5 - 459. Factor r(j).
3*j*(j - 572)/5
Let w(z) = 56*z + 552*z**2 - 59 + 75 + 80*z + 74*z**4 + 458*z**3. Let f(m) = 24*m**4 + 153*m**3 + 184*m**2 + 45*m + 5. Let l(k) = 16*f(k) - 5*w(k). Factor l(x).
2*x*(x + 1)*(x + 10)*(7*x + 2)
Suppose -18 = -402520*b + 402514*b. Let -24/11*d + 6/11*d**b + 16/11 + 4/11*d**2 - 2/11*d**4 = 0. What is d?
-2, 1, 2
Suppose 4*t + 28 = 2*k, 2*k + t = 4*k - 7. Let v(u) be the second derivative of k + 1/10*u**5 + 0*u**2 + 2/3*u**4 - 34*u + u**3. Factor v(q).
2*q*(q + 1)*(q + 3)
Let r(i) = -i**3 + 131*i**2 + 1447*i + 1325. Let u(t) = t. Let j(k) = 2*k**3 - k**2 - 4*k - 1. Let h(p) = j(p) + 5*u(p). Let z(b) = 2*h(b) + r(b). Factor z(d).
3*(d + 1)*(d + 21)**2
Let w be (300/(-14))/((-2)/56*4). Find d, given that -w*d**2 - 12*d**3 - 9*d**3 + 16*d**4 - 19*d**3 + 38*d**2 - 60*d + 4*d**5 = 0.
-5, -1, 0, 3
Let o = 164 + -162. Suppose -55*u + 337 + 268 = 0. Factor -121/2 - 1/2*q**o - u*q.
-(q + 11)**2/2
Let t be 124/186 - ((-63238)/(-76596) - 2). Let s = t + 5/982. Find q such that -s*q - 8/13 - 10/13*q**2 = 0.
-2, -2/5
Find w such that 104/5*w - 8/5*w**2 - 14/5*w**3 + 96/5 + 2/5*w**4 = 0.
-2, -1, 4, 6
Let a(t) be the second derivative of t**9/12096 + 5*t**8/5376 + t**7/504 + t**4/3 - 7*t**3/6 - 106*t. Let u(m) be the third derivative of a(m). Factor u(z).
5*z**2*(z + 1)*(z + 4)/4
Let m(g) be the first derivative of -2*g**6/9 + 628*g**5/3 - 152875*g**4/3 - 1853380*g**3/9 - 929840*g**2/3 - 620944*g/3 + 2392. Factor m(o).
-4*(o - 394)**2*(o + 1)**3/3
Let g(q) = 26*q**4 + 53*q**3 - 614*q**2 - 7*q. Let d(s) = 8*s**4 + 18*s**3 - 204*s**2 - 2*s. Let w(a) = -7*d(a) + 2*g(a). Factor w(t).
-4*t**2*(t - 5)*(t + 10)
Let g = 1314 + -1248. Let b be 122/22 - 36/g. Factor 1/2*m + 0 + m**4 - 1/2*m**b + 0*m**3 - m**2.
-m*(m - 1)**3*(m + 1)/2
Let h be 10 - ((-7 - -7) + 8). Let n = -191 + 963/5. Factor n - h*b + 2/5*b**2.
2*(b - 4)*(b - 1)/5
Let k be -6 + (-13 + (-374)/(-6) - (-6 + 20)). Find l, given that 0 - 4*l**4 - 148/3*l**2 + k*l**3 + 40/3*l = 0.
0, 1/3, 2, 5
Factor 447 - 453/2*q + 3/2*q**2.
3*(q - 149)*(q - 2)/2
Let m(q) be the third derivative of 10/23*q**3 + 0*q - 4*q**2 - 23 + 29/276*q**4 - 1/690*q**5. Suppose m(p) = 0. Calculate p.
-1, 30
Let y(u) be the first derivative of -u**5/120 - 13*u**4/48 - 11*u**3/6 + 51*u**2/2 - 18. Let z(v) be the second derivative of y(v). Factor z(p).
-(p + 2)*(p + 11)/2
Let j(s) = -s - 32. Let g be j(15). Let r = 52 + g. Factor 11 - 15*i - r*i**2 + 19 - 30.
-5*i*(i + 3)
Let g be (-94)/470*-3*5. Factor 2/7*l**5 - 6/7*l**g + 0*l**4 + 0*l + 0 + 4/7*l**2.
2*l**2*(l - 1)**2*(l + 2)/7
Suppose 0*n = 9*n - 18. Factor 56*h - 52 - 44*h**2 + 87*h**n - 47*h**2.
-4*(h - 13)*(h - 1)
Factor 2*y**4 - 31*y**3 + 462*y**3 + 169360*y**2 + 188*y**3 + 545*y**3 - 1164*y - 169362.
2*(y - 1)*(y + 1)*(y + 291)**2
Let a = 241 - 112. Factor a*q**2 + 22 - 47*q**2 - 72 - 34*q**2 - 43*q**2 + 45*q.
5*(q - 1)*(q + 10)
Let l = -427 + 431. Let z(s) = 3*s**3 - 2*s**2 - s. Let i(g) = -5*g**2 + 4*g**2 + 2*g**2 - 2*g**3. Let k(b) = l*i(b) + 3*z(b). Factor k(r).
r*(r - 3)*(r + 1)
Determine p, given that -50 + 526*p**2 + 14 - 55 - 434*p**2 - 37 + 1464*p = 0.
-16, 2/23
Let p(k) be the first derivative of k**3/27 - 8*k**2/9 - 35*k/3 - 1509. Solve p(q) = 0 for q.
-5, 21
Let d be (-6 - -4)/(-3 - 126/(-54)). Find n such that -27/7*n**d - 3*n**2 + 0 - 15/7*n**4 - 3/7*n**5 - 6/7*n = 0.
-2, -1, 0
Let t be (3/6)/(1/28). Suppose a - t + 6 = -3*p, 0 = -a - p + 6. Find o, given that -2/13*o**a - 4/13*o**4 + 6/13*o**3 + 0 + 16/13*o**2 + 8/13*o = 0.
-2, -1, 0, 2
Let w be 0/(-1) + (-12)/(-6). Let l be (756/(-90))/(-6) + (1 + 0 - 2). Find s such that 0 + 1/5*s**w + l*s = 0.
-2, 0
Let j(r) = -4*r**3 - 267*r**2 - 17691*r + 17956. Let z(q) = -9*q**3 - 534*q**2 - 35383*q + 35912. Let k(n) = -7*j(n) + 3*z(n). Factor k(u).
(u - 1)*(u + 134)**2
Factor 2*z**2 - 4/3*z**4 + z**5 - 2/3 - 4/3*z**3 + 1/3*z.
(z - 1)**3*(z + 1)*(3*z + 2)/3
Let c(t) be the first derivative of -7/24*t**4 - 58 + 31/12*t**2 - 1/6*t**3 - 10/3*t - 1/30*t**5. Factor c(f).
-(f - 1)**2*(f + 4)*(f + 5)/6
Suppose 0 = 19*u - 3116 + 475. Suppose 165*f - 208 = u*f. Find a such that -20/3*a**2 + 100/3*a**3 + 0 - f*a = 0.
-2/5, 0, 3/5
Determine m, given that -6 - 56*m**3 + 11*m - 4*m**2 + 50*m**3 + 5*m**3 = 0.
-6, 1
Let c be -3 - (3 - (-3 + (-136)/(-4))). Suppose 4*b = -c + 33. Determine s so that -15*s**b + 106*s + 107*s - 10*s**3 - 218*s = 0.
-1, -1/2, 0
Let n(m) be the first derivative of -m**6/10 + 3*m**5/20 + 9*m**4/4 + 11*m**3/2 + 6*m**2 - 45*m - 86. Let a(d) be the first derivative of n(d). Factor a(b).
-3*(b - 4)*(b + 1)**3
Factor 968/9*w - 2/9*w**2 - 1928/9.
-2*(w - 482)*(w - 2)/9
Let l(b) be the second derivative of b**8/840 - b**6/100 - b**5/75 + 187*b**2/2 + 3*b + 1. Let k(z) be the first derivative of l(z). Factor k(h).
2*h**2*(h - 2)*(h + 1)**2/5
Let b = 65243 - 65241. Determine l so that 0 + 7*l - 1/2*l**3 + 5/2*l**b = 0.
-2, 0, 7
Let k(i) be the third derivative of -i**7/42 - 3*i**6/8 + i**5 + 25*i**4/6 + 26*i**2 - 16*i. Factor k(q).
-5*q*(q - 2)*(q + 1)*(q + 10)
Find u, given that -22 + 2/9*u**2 + 20/3*u = 0.
-33, 3
Let x(r) be the first derivative of 7*r**6/12 + 13*r**5/10 - 39*r**4/4 - 12*r**3 - 86. Suppose x(f) = 0. Calculate f.
-4, -6/7, 0, 3
Let q = -62675/1188 + 1549/27. Let i = 70/11 - q. Factor -3*s**2 + 1/2 - 3/4*s - i*s**3.
-(s + 1)**2*(7*s - 2)/4
Let z(p) be the third derivative of -p**9/5040 + p**8/2240 + p**4/12 - 7*p**3/3 - 31*p**2. Let j(a) be the second derivative of z(a). Let j(x) = 0. What is x?
0, 1
Let y(q) be the second derivative of -9*q**5/20 - 59*q**4/2 - 153*q**3/2 - 57*q**2 + 2275*q. Factor y(c).
-3*(c + 1)*(c + 38)*(3*c + 1)
Let w(d) be the second derivative of 8/3*d**3 + 0 + 1/120*d**5 + 68*d + 11/36*d**4 - 24*d**2. Factor w(k).
(k - 2)*(k + 12)**2/6
Let x = -1417/9 + 1465/9. Solve -4/3*p - x + 6*p**2 - 2/3*p**4 + 4/3*p**3 = 0.
-2, -1, 1, 4
Let d(b) be the second derivative of 7/108*b**4 + 7/54*b**3 + 7 - 2*b - 5/6*b**2 + 1/180*b**5. Factor d(x).
(x - 1)*(x + 3)*(x + 5)/9
Let o(c) = -6*c**2 - 46*c + 6. Let k be o(-7). Let j be (2 + 30/25)/(k/5). Factor -2/17*i**2 + 8/17 - j*i + 2/17*i**3.
2*(i - 2)*(i - 1)*(i + 2)/17
Let j(w) be the first derivative of -w**6/9 - 26*w**5/15 + 29*w**4/2 - 118*w**3/9 - 86*w**2/3 + 48*w + 11324. Determine m so that j(m) = 0.
-18, -1, 1, 4
Let s(o) = o**3 + 3*o**2 + 1. Let v(x) = -4*x**3 + 508*x**2 - 524*x - 5. Let j(n) = -20*s(n) - 4*v(n). Find z such that j(z) = 0.
-524, 0, 1
Let f be 3/(-12) - 392/(-32). Let z = f - 12. Factor z*s**4 - 6*s**3 + 0*s**3 + 4*s**2 + 2*s**4.
2*s**2*(s - 2)*(s - 1)
Let l(u) be the first derivative of 15*u**4/4 - 141*u**3 - 15*u**2/2 + 423*u + 6853. Find k such that l(k) = 0.
-1, 1, 141/5
Factor 103 - 30*a**3 + 111 - 214 - 53*a**4 - 5*a**5.
-a**3*(a + 10)*(5*a + 3)
Suppose 0*c + 5*w - 72 = -3*c, 4*w = 2*c - 48. Let s be ((-80)/c + 2)*(-3)/6. Suppose -8/3*a - s*a**2 - 8/3 = 0. Calculate a.
-2
Let w(q) be the first derivative of 0*q**5 - 24*q - 1/2*q**6 - 213 + 2*q**3 - 18*q**2 + 21/4*q**4. Let w(r) = 0. Calculate r.
-2, -1, 2
Let f(b) be the second derivative of 0 + 1/2*b**2 - 183*b + 1/24*b**4 + 1/4*b**3. Let f(h) = 0. Calculate h.
-2, -1
Let y(a) be the third derivative of -2*a**7/105 - 5*a**6/6 - 73*a**5/15 + 75*a**4/2 - 84*a**3 + 485*a**2. Factor y(w).
-4*(w - 1)**2*(w + 6)*(w + 21)
Let i(s) be the third derivative of s**5/90 + 25*s**4/9 - 68*s**3/3 - 1720*s**2. Suppose i(u) = 0. Calculate u.
-102, 2
Let i = -4349/39 - -22798/195. Suppose i*o**3 - 111/5*o - 6 + 114/5*o**2 = 0. Calculate o.
-5, -2/9, 1
Factor -2/3*f**2 + 104/9*f + 8.
-2*(f - 18)*(3*f + 2)/9
Let o(k) = 4*k**2 - 327*k - 660. Let b(y) = 4*y**2 - 370*y - 660. Let d(t) = 5*b(t) - 6*o(t). Find r, given that d(r) = 0.
-5, 33
Let m be 1117*(5 - 3/((-21)/(-28))). Let q = -1117 + m. Suppose f + 1/2*f**3 + q + 3/2*f**2 = 0. What is f?
-2, -1, 0
Suppose q - 5 = 0, -2*p = 4*q - 15 - 9. Factor -16*b**4 + 12*b**3 + 8 - 26*b**3 + 4*b**5 + 30*b**3 - 20*b + 8*b**p.
4*(b - 2)*(b - 1)**3*(b + 1)
Suppose 1324 = 15*v -