ppose -o*t + 4 + 16 = 0. Factor 0 + 2/7*g**3 + 2/7*g**t + 0*g.
2*g**2*(g + 1)/7
Let r(m) be the second derivative of m**4/8 + 133*m**3/4 + 393*m**2/2 - 5*m - 241. Find f, given that r(f) = 0.
-131, -2
Let 0*s + 273/2*s**2 + 1/2*s**4 + 0 - 137*s**3 = 0. Calculate s.
0, 1, 273
Let u(d) be the first derivative of 9*d**4/28 + 1894*d**3/7 - 3791*d**2/14 + 632*d/7 - 8834. Factor u(v).
(v + 632)*(3*v - 1)**2/7
Let d = 28 + -28. Suppose -2*p + 5 + 1 = d. Factor -6*t**2 - 7*t**p + 9 - 24*t - 2*t**3 + t**4 + t**3 + 28*t**2.
(t - 3)**2*(t - 1)**2
Solve 26 + 1381/4*g**2 + 75/4*g**4 - 399/2*g - 773/4*g**3 + 11/4*g**5 = 0.
-13, 2/11, 1, 4
Let k(m) = m**3 - m**2 - m. Let y(p) = 8*p**3 - 15*p**2 - 9*p. Let o be (-4)/((-8)/(-3))*-6. Suppose 4*u = o*u + 90. Let g(z) = u*k(z) + 2*y(z). Factor g(f).
-2*f**2*(f + 6)
Let d(v) = 57*v - 375. Let m be d(7). Let w be (m/(-20))/(99/(-60)). Find a, given that 8/11*a**3 - w*a - 4/11*a**2 + 6/11 - 2/11*a**4 = 0.
-1, 1, 3
Let z(k) be the second derivative of -k**4/16 - 281*k**3/8 + 423*k**2/4 - k + 465. Factor z(u).
-3*(u - 1)*(u + 282)/4
Let u(d) = -24*d**2 - 13*d + 3. Let w(j) = -277*j**2 - 144*j + 32. Let b(s) = -69*u(s) + 6*w(s). Factor b(n).
-3*(n - 5)*(2*n - 1)
Suppose 4*v + 2*x - 6 = 32, 0 = 5*v + 3*x - 47. Let i be 56/24 + 4 + v/(-3). Factor 9*j + 3/4*j**4 + 12*j**2 + 21/4*j**i + 0.
3*j*(j + 2)**2*(j + 3)/4
Suppose 5*v - 8*v = -4*w + 785, 0 = 5*w - 4*v - 982. What is j in 4*j**2 + j**2 + 526 - 177*j + w + 57*j = 0?
12
Let m = 5 + -9. Let u be -1*m/14 + (-168)/(-98). Solve 0*w**4 + w**3 + 7*w**3 + 3*w**4 - u*w**3 = 0 for w.
-2, 0
Let u(r) = 72*r - 68. Let i be u(-9). Let c = i + 722. Suppose 0 - 15/2*o**5 + c*o**4 + 9*o**3 - 3/2*o - 6*o**2 = 0. What is o?
-1, -1/5, 0, 1
Factor -736/7 - 400/7*m - 2/7*m**3 - 62/7*m**2.
-2*(m + 4)**2*(m + 23)/7
Factor 608/7*f**3 + 128/7 - 704/7*f**2 + 192/7*f - 216/7*f**4 + 4*f**5.
4*(f - 2)**4*(7*f + 2)/7
Let k(f) = f**3 + 14*f**2 - 27*f - 36. Let j be k(-11). Factor 36 - 80*s + 5723*s**2 - 1587*s**3 - 686*s**2 - j*s - 136*s.
-3*(s - 3)*(23*s - 2)**2
Factor -673/9*h**2 + 616/9*h + 283/9*h**3 - 196/9 - 31/9*h**4 + 1/9*h**5.
(h - 14)**2*(h - 1)**3/9
Let k(a) = -2192*a - 8. Let y be k(-1). Factor 127*h**3 + 10660*h - 17576 + y*h + 37*h**3 - 2340*h**2 - 4*h**4.
-4*(h - 13)**3*(h - 2)
Let v be 28/(-70) - (-204)/85. Let d(t) be the first derivative of 3/8*t**v - 26 - 3/2*t + 1/4*t**3. Factor d(k).
3*(k - 1)*(k + 2)/4
Let h(u) be the first derivative of 5*u**4/4 + 15*u**3 + 20*u**2 - 300*u - 11. Factor h(k).
5*(k - 2)*(k + 5)*(k + 6)
Let g(z) be the first derivative of 2/15*z**3 - 38/5*z - 3 + 18/5*z**2. Factor g(n).
2*(n - 1)*(n + 19)/5
Let z(l) be the third derivative of l**6/360 + 16*l**5/5 + 383*l**4/24 + 287*l**3/9 + l**2 - 255. Let z(r) = 0. Calculate r.
-574, -1
Suppose 41*h - 6338 + 6133 = 0. Let d(p) be the second derivative of 20*p + 0 + 3/2*p**2 + 1/2*p**4 + 3/40*p**h + 5/4*p**3. Let d(k) = 0. What is k?
-2, -1
Suppose 0 = -3*d + 625 - 37. Factor d*u**3 - 104*u**3 + 15*u - 97*u**3 - 10*u**2.
-5*u*(u - 1)*(u + 3)
Let f = 391 + -321. Factor -69 - 110 + 2*t**2 - 17 - f*t + 48.
2*(t - 37)*(t + 2)
Solve -5*w**4 - 25*w**2 + 35*w + 40*w**3 - 20*w**3 - 22*w**3 + 30 - 7*w**3 - 26*w**3 = 0.
-6, -1, 1
Suppose -56/19*n**2 + 2/19*n**4 - 96/19*n + 0*n**3 + 0 = 0. What is n?
-4, -2, 0, 6
Factor 30*z**3 - z**3 + 107580*z - 13*z**3 + 1316*z**2 - 12*z**3 - 108900.
4*(z - 1)*(z + 165)**2
Factor 31*q**2 + q - 6*q**2 - 146 - 148*q - 13*q**2 - 13*q**2.
-(q + 1)*(q + 146)
Let s be -2*(-2)/36*3. Let j be -31 - (-25 - -12) - 2420/(-132). Factor j*n**2 + s*n**3 - 1/3 - 1/3*n.
(n - 1)*(n + 1)**2/3
Let r(t) be the first derivative of 62 + 2*t**3 + 21/2*t**2 + 9*t. Factor r(c).
3*(c + 3)*(2*c + 1)
Factor -42*x - 159*x**4 - 5*x - 51*x**2 - 3*x**3 - 156*x**4 + 318*x**4 + 2*x.
3*x*(x - 5)*(x + 1)*(x + 3)
Determine h, given that 43*h**4 + 66*h**2 - 144*h + 16*h**2 - 16*h**2 + 2019*h**3 + 41*h**4 = 0.
-24, -2/7, 0, 1/4
Let j(u) be the third derivative of u**8/80640 - u**7/1680 + 49*u**5/20 - 5*u**2. Let m(z) be the third derivative of j(z). Factor m(r).
r*(r - 12)/4
Let b = 16 + -5. Suppose -3*a - 5 + b = 0. What is c in -2*c**2 + 9*c - 13*c - 2*c**a = 0?
-1, 0
Let c = -474 + 479. Let -18*h**2 + h**3 + 12*h**4 + 3*h**3 - h**3 + 3*h**c = 0. Calculate h.
-3, -2, 0, 1
Suppose 308 = -724*h + 801*h. Let d(r) be the first derivative of 0*r + 3/20*r**h - 9 + 0*r**2 - 2/5*r**3. Suppose d(q) = 0. What is q?
0, 2
Determine g so that -36*g**2 + 87*g**3 + 160*g - 43*g**3 - 45*g**3 = 0.
-40, 0, 4
Let d(g) be the third derivative of g**7/210 - 9*g**6/40 - 59*g**5/60 + 9*g**4/8 + 29*g**3/3 + 1180*g**2. Find r, given that d(r) = 0.
-2, -1, 1, 29
Let l(n) = -24964*n**2 - 7596*n - 570. Let y(k) = -49928*k**2 - 15194*k - 1139. Let z(m) = 13*l(m) - 6*y(m). Factor z(b).
-4*(79*b + 12)**2
Let k(b) be the second derivative of 0*b**3 + 0*b**2 - 35*b + 2/3*b**4 - 1/20*b**5 + 0. Factor k(v).
-v**2*(v - 8)
Suppose 207*j + 2174*j - 2322 - 2440 = 0. Solve -12/5*c**2 + j*c + 24/5 + 2/5*c**3 = 0.
-1, 3, 4
Let k be (-4)/(40/(-6)) - (-17)/5. Suppose -4*h + 23*z + k = 27*z, h + 4*z - 4 = 0. Let -2/7*a**2 + h*a + 0 - 1/7*a**3 + 1/7*a**4 = 0. Calculate a.
-1, 0, 2
Let d = -2/625193 + 2500790/5626737. Let 2/9*i**4 - 8/9*i**2 + d*i - 4/9*i**3 + 2/3 = 0. Calculate i.
-1, 1, 3
Suppose -11*o + 3*n = -19*o + 39, o = n - 2. Find p, given that 1331/7 + 363/7*p + 1/7*p**o + 33/7*p**2 = 0.
-11
Let a(o) = -4*o + 157. Let v be a(33). Let -c**3 - v*c**2 - 4 + 35*c**2 + 4 - 15*c - 10*c = 0. What is c?
0, 5
Let v(g) be the third derivative of -g**7/70 + 3*g**6/20 + 407*g**5/20 - 156*g**4 - 21632*g**3 + 2624*g**2. Factor v(h).
-3*(h - 16)**2*(h + 13)**2
Let g(r) = -4*r**3 - 20*r - 6. Let x(z) = 1 + 6*z**3 - 4*z**3 + 3*z**3 + 21*z + 1 + 3. Let j(u) = -7*g(u) - 6*x(u). Factor j(o).
-2*(o - 3)*(o + 1)*(o + 2)
Let f be 1 + 3 - (13 + -11). Let -q**2 - 45 + 24*q + 2*q**2 + q**2 + q**f + 18 = 0. What is q?
-9, 1
Factor -2/11*k**2 + 216/11 + 46/11*k.
-2*(k - 27)*(k + 4)/11
Suppose -9*s = -74 + 2. Factor 40*t**2 - 20*t**2 - s*t + 33*t - 40*t**2.
-5*t*(4*t - 5)
Suppose -897 - 3*v**2 - 1911*v - 1900 + 889 = 0. Calculate v.
-636, -1
Let o = -4635/8 - -78875/136. Solve -4/17*q**3 + 4/17*q + 0 + 10/17*q**2 - o*q**4 = 0.
-1, -2/5, 0, 1
Let k(j) be the third derivative of -9*j**7/70 - 23*j**6/40 - 3*j**5/10 + j**4 - 146*j**2 - 2*j. Factor k(r).
-3*r*(r + 1)*(r + 2)*(9*r - 4)
Let i(w) = -2*w**3 + 14*w**2 + w - 5. Let z(h) = h**2 + 9*h + 25. Let n be z(-6). Let o be i(n). Factor 8/3*t - 2 - 2/3*t**o.
-2*(t - 3)*(t - 1)/3
Let h(k) be the third derivative of k**5/40 + 75*k**4/8 + 2*k**2 + 1391*k - 1. Determine f, given that h(f) = 0.
-150, 0
Let a be 16/(-40) + 34/10 + 4. Suppose c**4 - 96 + 50 - 9*c + 38 + a*c**2 + 9*c**3 = 0. Calculate c.
-8, -1, 1
Let w(t) be the second derivative of t**5/15 - 586*t**4/9 + 56840*t**3/3 + 115248*t**2 + 1169*t. Factor w(v).
4*(v - 294)**2*(v + 2)/3
Let r = -385318 + 385318. What is m in r - 1/3*m**5 - 5/3*m**3 - 5/3*m**4 + 5/3*m**2 + 2*m = 0?
-3, -2, -1, 0, 1
Let n(a) = -13*a**2 + 148*a - 13. Let b(t) = -9*t**2 + 99*t - 6. Let o(c) = 7*b(c) - 5*n(c). What is m in o(m) = 0?
1/2, 23
Let w be ((-10)/(-55))/((-32)/(-88)). Suppose -10*s + 32 = 6*s. Find r such that 2*r**s + 0 - 5/2*r + w*r**3 = 0.
-5, 0, 1
Let z(a) = a + 9*a - 5*a - 31. Let x be z(9). Factor -9*m + 2 + 0*m - x*m**3 - 2*m**2 + 23*m.
-2*(m - 1)*(m + 1)*(7*m + 1)
Let l = 494 - 510. Let z(u) = u**2 + 3*u - 1. Let w(p) = 12*p**2 + 172*p + 112. Let k(r) = l*z(r) + w(r). Factor k(m).
-4*(m - 32)*(m + 1)
Let m(y) be the second derivative of -1/35*y**5 - 16/21*y**3 + 46*y - 2 + 0*y**2 - 3/7*y**4. Determine i so that m(i) = 0.
-8, -1, 0
Let i(j) be the first derivative of 0*j**3 + 15/2*j**2 - 10*j + 222 - 5/4*j**4. Factor i(c).
-5*(c - 1)**2*(c + 2)
Let x be 0/(-7) - 3 - -5. Solve -a**5 - 20*a**3 - 100*a**2 + 8*a**4 + 209*a**x + 3*a**3 - 99*a**2 = 0.
0, 1, 2, 5
Let j = -675684 + 675688. Factor -2*r**3 + 0 + 20/9*r**2 + 0*r - 2/9*r**j.
-2*r**2*(r - 1)*(r + 10)/9
Let h(u) = -15*u - 130. Let a be h(-9). Let o(k) = 3*k**2 + 21*k - 13. Let c be o(14). Let -889 - a*i**2 + 10*i + 15*i + c = 0. What is i?
1, 4
Let p be (1 - (3 - 6))*(-8)/(-11 + -37). What is s in -8/3*s**3 + 2*s**2 + p*s**4 - 8/3 + 8/3