 - 14*a**3 + 5*a**4 + 35*a + 30 - q*a**3 = 0.
-2, -1/2, 1, 3
Let w = 13/64 - -89/192. Factor -80/3*x**3 - w*x**4 - 716/3*x**2 - 294 + 560*x.
-2*(x - 1)**2*(x + 21)**2/3
Let q = -404 - -401. Let f(o) = 10*o**2 - 14*o + 36. Let r(x) = 8*x**2 - 15*x + 36. Let g(j) = q*f(j) + 4*r(j). Factor g(t).
2*(t - 6)*(t - 3)
Solve -44*k - 55*k - 1212*k**2 + 648 + 1215*k**2 = 0.
9, 24
Let c be (-43446)/(-15039) - 2/(-18). Solve -2072/5*t - 2*t**c - 784/5 - 284/5*t**2 = 0 for t.
-14, -2/5
Let n be (-21*(-3)/9 - 3) + 0. Find g, given that -25*g + 30*g**n + 5*g**5 - 100*g**2 - 50 - 2*g**3 - 110*g + 12*g**3 = 0.
-5, -1, 2
Suppose 0 = 43*p - 53 - 33. What is m in 3362 + 6*m**2 - 35*m + 14*m + 85*m + 100*m - 4*m**p = 0?
-41
Let t(i) be the second derivative of i**4/24 - 7*i**3/12 - 2*i**2 + 3161*i. Factor t(b).
(b - 8)*(b + 1)/2
Let w(c) be the second derivative of -2*c**6/105 - 113*c**5/35 + 155*c**4/7 - 234*c**3/7 - 4*c + 304. Determine d, given that w(d) = 0.
-117, 0, 1, 3
Let h be ((-75)/(-5))/((-5)/(-3) + -2). Let z be 144/h + (-4 - -9). Factor 0 + 6/5*x**2 + 0*x - z*x**3 + 3/5*x**4.
3*x**2*(x - 2)*(x - 1)/5
Determine r, given that 436*r - 1941*r**2 + 438 - 395*r - 1234*r + 45 - 12*r**3 - 253*r = 0.
-161, -1, 1/4
Let v = -2968 - -2968. Let t(q) be the first derivative of v*q - 15/4*q**4 - 8 - 5/3*q**3 + 0*q**2. Factor t(o).
-5*o**2*(3*o + 1)
Let x(s) be the first derivative of -s**5/5 - 5*s**4/3 - 16*s**3/3 - 8*s**2 - 162*s + 24. Let n(i) be the first derivative of x(i). Factor n(h).
-4*(h + 1)*(h + 2)**2
Factor 82371 + 70*v + 45*v**2 + 82388 - 164734.
5*(v + 1)*(9*v + 5)
Let o = -54 - -53. Let j be (((-35)/10)/7)/(o/14). Factor 35*l**2 - j*l**2 - 5*l**2 + 52*l**2 - 60*l + 12.
3*(5*l - 2)**2
Let t(u) = u**2 - 3*u - 6. Let f(o) = 0 - 6*o + 5*o + 0. Let q(w) = 2*f(w) + t(w). Factor q(p).
(p - 6)*(p + 1)
Let p(h) be the second derivative of h**6/50 + 129*h**5/100 + 483*h**4/20 + 441*h**3/10 - 773*h. Factor p(v).
3*v*(v + 1)*(v + 21)**2/5
Let p be -2*(-1 + -4) + 0/8. Factor 16 + 31*y + 29*y - 6*y**2 - p*y**2.
-4*(y - 4)*(4*y + 1)
Suppose -v - 8 = -17. Find o, given that 0*o + 32*o + 78*o**4 - v*o**4 + 9*o**5 + 12*o**3 - 26*o**3 - 60*o**2 - 18*o**3 = 0.
-8, -1, 0, 2/3
Let z(f) be the second derivative of -1/3*f**2 + 1/24*f**4 - 1/180*f**6 + 1/60*f**5 - 1/9*f**3 - f - 36. Determine s, given that z(s) = 0.
-1, 2
Let a = 15762 - 15760. Let q(z) be the first derivative of 6 - 2/45*z**5 - 1/18*z**4 + 2/3*z**3 + 8/9*z - 11/9*z**a. Factor q(h).
-2*(h - 1)**3*(h + 4)/9
Suppose 5*u - 22 = -8*l + 6*l, -3*u - 12 = -3*l. Let q(y) be the first derivative of -y**u - 4/9*y**3 - 27 + 0*y + 1/6*y**4. Factor q(a).
2*a*(a - 3)*(a + 1)/3
Let 2077*s + 2*s**2 - 532*s - 525*s - 522*s - 522*s = 0. Calculate s.
0, 12
Let j(n) be the first derivative of 0*n - 178 + 0*n**2 + 3/20*n**5 - n**3 - 9/16*n**4. Factor j(g).
3*g**2*(g - 4)*(g + 1)/4
Let l(o) be the first derivative of -4*o**3/9 + 368*o**2/3 + 496*o + 8541. Factor l(u).
-4*(u - 186)*(u + 2)/3
Let w(k) be the first derivative of -13*k**6/60 + 11*k**5/40 + k**4/12 - 73*k + 94. Let t(a) be the first derivative of w(a). Factor t(m).
-m**2*(m - 1)*(13*m + 2)/2
Let p(x) be the third derivative of -x**8/756 - 2*x**7/945 + x**6/90 + x**5/135 - x**4/27 + 36*x**2 + 2*x + 13. Suppose p(k) = 0. What is k?
-2, -1, 0, 1
Let g(z) = -279*z - 1114. Let o be g(-4). Let w(f) be the first derivative of 21 + 27*f + 3/4*f**3 + 1/32*f**4 + 27/4*f**o. Factor w(y).
(y + 6)**3/8
Let u = -6076 + 30384/5. Let n(w) be the third derivative of -1/200*w**6 + 0 + 1/10*w**4 + 0*w + 23*w**2 - u*w**3 + 1/50*w**5. Find p such that n(p) = 0.
-2, 2
Factor -3*l**2 + 0 + 14/5*l**3 + 0*l + 1/5*l**4.
l**2*(l - 1)*(l + 15)/5
Let o be 4/(-30) + ((-6080)/150)/(-19). Solve -6 + 12 - 41*w**o - 11*w + 27*w**2 + 20*w**2 - w**3 = 0.
1, 2, 3
Let 1/4*z**5 + 13/4*z**4 + 20 - 37/4*z**2 + 37/4*z**3 - 47/2*z = 0. What is z?
-8, -5, -2, 1
Let o(n) be the third derivative of 3*n**2 + 1/30*n**6 + 0 - 8*n**4 + n + 104/3*n**3 + 3/5*n**5. Determine l, given that o(l) = 0.
-13, 2
Let q(i) be the third derivative of i**9/40320 - 3*i**8/4480 + i**7/420 + i**5/30 + i**4/24 - 159*i**2. Let r(v) be the third derivative of q(v). Factor r(a).
3*a*(a - 8)*(a - 1)/2
Let k(j) = 3*j**2 + 10*j + 21. Let g be k(-3). Factor 40 + 2*a + 12*a**2 + 13*a**2 + g*a**2 - 44*a**2 + a.
-(a - 8)*(a + 5)
Let m(q) be the first derivative of -728/11*q**2 - 1/22*q**4 + 106/33*q**3 - 27 + 1352/11*q. Let m(n) = 0. What is n?
1, 26
Determine n, given that 1300/7*n - 16/7 + 326/7*n**2 = 0.
-4, 2/163
Let y(t) be the first derivative of 159 - 14/15*t**3 + 0*t - 12/5*t**2 - 1/10*t**4. Factor y(h).
-2*h*(h + 3)*(h + 4)/5
Let c(r) be the second derivative of -45/2*r**4 + 80*r**2 - 41 - 80/3*r**3 + 5/14*r**7 + 79/4*r**5 + 2*r - 14/3*r**6. Suppose c(s) = 0. Calculate s.
-2/3, 1, 4
Determine z so that 3181*z**2 - 1588*z**2 - 242 - 1591*z**2 = 0.
-11, 11
Let t(g) be the third derivative of g**6/1200 - 347*g**5/600 - 349*g**4/120 - 340*g**2 - g - 2. Solve t(q) = 0.
-2, 0, 349
Suppose 5*z**5 - 90*z**2 + 40*z**4 - 69 + 69 + 686*z**3 - 741*z**3 = 0. What is z?
-9, -1, 0, 2
Let -168/5*f + 0 - 3/5*f**3 - 18*f**2 = 0. Calculate f.
-28, -2, 0
Let s(f) = -9*f**3 + 14*f**2 + 166*f - 206. Let b(q) = -2*q**3 - 4*q**2 + q - 2. Let r(h) = 5*b(h) - s(h). Suppose r(j) = 0. What is j?
-28, -7, 1
Let m(q) be the third derivative of 1/15*q**5 + 0 - 57*q**2 + 0*q**3 + 0*q - 1/480*q**6 - 5/32*q**4. Factor m(t).
-t*(t - 15)*(t - 1)/4
Let u(z) = -3*z**2 - 11*z - 395. Let m(i) = -i**2 - 5*i - 195. Let r(q) = 14*m(q) - 6*u(q). Solve r(d) = 0.
-9, 10
Factor -3844/3 + 3968/3*z - 125/3*z**2 + 1/3*z**3.
(z - 62)**2*(z - 1)/3
Factor 53/4*x - 1/4*x**2 + 0.
-x*(x - 53)/4
Let s(h) = 8*h + 42. Let l(f) = -7*f - 43. Let t(m) = 5*l(m) + 4*s(m). Let q be t(-17). Solve 2*u**2 - q*u**2 - 2*u - 6 + 2 + 4*u**2 = 0 for u.
-1, 2
Let c(x) be the second derivative of -x**5/10 + 146*x**4/3 - 289*x**3/3 - 582*x**2 - 3431*x. Factor c(s).
-2*(s - 291)*(s - 2)*(s + 1)
Let f(g) be the second derivative of 161*g**5/40 - 157*g**4/96 - g**3/48 - 46*g - 4. Determine w so that f(w) = 0.
-1/161, 0, 1/4
Let n = 9 + -9. Suppose n = 3*l - 6, -5 = -3*f - l - 3. What is h in 16*h - 25*h + 3 + 3*h**2 + f + 3 = 0?
1, 2
Let g(v) = -16*v**3 + 481*v**2 - 344*v + 52. Let k(i) = 47*i**3 - 1443*i**2 + 1034*i - 156. Let t(y) = -7*g(y) - 2*k(y). Factor t(m).
(m - 26)*(2*m - 1)*(9*m - 2)
Suppose 7370*i = 7402*i. Let m be 12/(-8)*(-1 + 0). Factor -b**2 + 0*b - m*b**3 + i*b**4 + 1/2*b**5 + 0.
b**2*(b - 2)*(b + 1)**2/2
Let v = -5/7418 - -14851/22254. Let -v*r**2 - 200/3 - 40/3*r = 0. Calculate r.
-10
Let b be 5/(10/4) + 6/2. Suppose 4 + 11 = b*t. Determine o, given that 6*o**2 + t*o**5 + 1 - 3*o**4 - 4 - 6*o**3 + 0 + 3*o = 0.
-1, 1
Let c(d) = -30*d + 1. Let q be c(-8). Let -238*s**2 + 4*s + s + s + q*s**2 = 0. Calculate s.
-2, 0
Factor -1/2*f**4 - 1/2*f**3 - 4*f + 0 + 5*f**2.
-f*(f - 2)*(f - 1)*(f + 4)/2
Factor 2304 + 48*z + 1/4*z**2.
(z + 96)**2/4
Factor -3774/5*u**2 - 497716378/5 + 2373846/5*u + 2/5*u**3.
2*(u - 629)**3/5
Let g be 3 + -5 - (2 + (16 - 5)). Let h be (g/(-40))/(((-60)/8)/(-5)). What is o in h*o**2 + 25/4 - 5/2*o = 0?
5
Let m(k) = 7*k**2 + 7*k**3 - 18 + k**4 + 8 + 6*k**2 + k. Let o(w) = 3*w**4 + 15*w**3 + 27*w**2 + 3*w - 21. Let j(b) = -9*m(b) + 4*o(b). Let j(i) = 0. What is i?
-1, 1, 2
Let l = -2636 + 7940/3. Let u(s) be the third derivative of 25*s**2 - l*s**3 + 0 + 0*s + 2/3*s**4 - 1/60*s**5. Solve u(i) = 0.
8
Let s = 244 - 242. What is a in 18*a**4 + 5*a**3 - 21*a**5 - 10*a**s - 8*a**4 + 16*a**5 = 0?
-1, 0, 1, 2
Let a = -66 - -67. Let i = a + 18. Factor 17*v**2 + 0 + 4 - i*v**2 + 3*v - v.
-2*(v - 2)*(v + 1)
Let l(a) = -a**2 + 8*a - 13. Let v be l(4). Solve -80*i**v - 65*i**2 + 118*i**2 + 92*i**2 + 5*i**4 - 70*i = 0.
0, 1, 14
Suppose -5*l - 3*s = -6*s - 13, 2*l - 4*s = 8. Suppose -4*y + 5*o - 9 = -l, -2*y - 3*o = -13. Factor -4*c - 7*c**3 - y*c**4 + 0*c**3 + 11*c**3 + 2.
-2*(c - 1)**3*(c + 1)
Let z(q) = -q**3 - 7*q**2 + 3. Let y(i) = i + 3. Let p be y(-10). Let d be z(p). Factor 3*o**2 - 6*o + 9 + d*o**3 - 3*o - 3*o - 3*o.
3*(o - 1)**2*(o + 3)
Let k = 104 + -102. Solve 5*c + 57*c**3 - 30*c**2 - 56*c**3 + k + 34*c**2 = 0 for c.
-2, -1
Let s(f) = 2*f**3 - 2*f**2 + f - 1. Let k(w) = -16*w**3 