35 - 3*d**4/7 - 32*d**3/21 + 29*d**2/7 - 24*d/7 + 999. Factor a(l).
2*(l - 1)**3*(l + 3)*(l + 4)/7
Let a be 5*(-8)/(240/(-10)). Let t(v) be the second derivative of -1/5*v**5 + 23*v + a*v**4 + 8*v**2 + 0 - 16/3*v**3. Factor t(m).
-4*(m - 2)**2*(m - 1)
Suppose 4*i + 48*v - 46*v - 22 = 0, 2*i - 2*v = 14. Factor 165 - 29 + 40*s**2 - i*s**3 + 4*s**3 - 234*s + 188.
-2*(s - 9)**2*(s - 2)
Let i(m) be the third derivative of m**5/270 + 19*m**4/108 - 20*m**3/27 - 493*m**2 - 2*m. Factor i(k).
2*(k - 1)*(k + 20)/9
Factor 16/7 - 2*m**3 - 4/7*m - 34/7*m**2.
-2*(m + 1)*(m + 2)*(7*m - 4)/7
Let z(s) be the first derivative of -3/4*s + 1/2*s**2 - 1/12*s**3 + 55. Suppose z(m) = 0. What is m?
1, 3
Let b(d) be the second derivative of -d**9/15120 + d**7/360 + d**6/120 + 43*d**4/6 - 48*d - 1. Let k(f) be the third derivative of b(f). Factor k(j).
-j*(j - 3)*(j + 1)*(j + 2)
Let g be (-14 - -2)*(-460)/4830. Factor 4/7*s - 24/7 + g*s**2.
4*(s + 2)*(2*s - 3)/7
Let s(i) be the second derivative of -i**4/126 + 157*i**3/63 + 115*i + 2. Solve s(o) = 0.
0, 157
Let b = 795 - 1024. Let m = 232 + b. Determine v, given that -4/11*v - 6/11*v**4 + 2/11*v**5 + 6/11*v**2 + 2/11*v**m + 0 = 0.
-1, 0, 1, 2
Factor w**3 - 374*w**2 + 87*w**2 + 47*w + 139*w**2 + 98 + 98*w**2.
(w - 49)*(w - 2)*(w + 1)
Let x = -481 - -484. Let s be (-4)/(-14) - ((-135)/35 + 4). Let 2/7 + s*c**4 - 3/7*c**2 - 1/7*c + 1/7*c**x = 0. Calculate c.
-2, -1, 1
Let y(j) = -j**2 - 12*j - 10. Let h be y(-8). Suppose -3*b - 14 = 5*g, g + 2*g = 5*b - h. Let 4*c**b + 169 - 2*c - 2*c - 177 = 0. Calculate c.
-1, 2
Let f(z) be the first derivative of 100 - 1/9*z**3 + 3/2*z**2 + 22/3*z. Let f(p) = 0. What is p?
-2, 11
Let q be (8 - (-370)/(-45)) + 17016/594. Let o = q - 309/11. Factor -5/3*a**5 + 2/3*a + o*a**2 - 13/3*a**4 - 3*a**3 + 0.
-a*(a + 1)**3*(5*a - 2)/3
Factor -2/5*m**4 + 2576/5 + 1908/5*m**2 - 3848/5*m - 62*m**3.
-2*(m - 2)**3*(m + 161)/5
Let b(i) be the first derivative of -18*i**5/25 + 114*i**4/5 - 584*i**3/15 + 96*i**2/5 - 5495. Find w such that b(w) = 0.
0, 2/3, 24
Let c be (-985 + 4)/(7/21). Let n be 14/(-4) - c/810. Suppose -4/15 + 4/15*q**2 + 2/15*q**3 - n*q = 0. Calculate q.
-2, -1, 1
Let o be ((-9)/(-42))/(8/(-16))*-7. Let i(z) be the third derivative of 0*z**o - 1/42*z**7 + 0 + 0*z - 15*z**2 + 13/96*z**6 + 0*z**4 - 1/16*z**5. Factor i(g).
-5*g**2*(g - 3)*(4*g - 1)/4
Let m(q) = -5*q**2 - 10*q + 15. Suppose 7*v + 7 = -0*v. Let g(f) = -f + 1. Let y(w) = v*m(w) - 25*g(w). Suppose y(h) = 0. What is h?
-8, 1
Factor -11*f**3 + 1/3*f**4 - 52*f + 0 + 188/3*f**2.
f*(f - 26)*(f - 6)*(f - 1)/3
Let h(v) be the third derivative of v**8/6720 - v**7/120 - v**6/16 - 23*v**5/120 + 11*v**4/8 + 177*v**2. Let j(y) be the second derivative of h(y). Factor j(g).
(g - 23)*(g + 1)**2
Let b(s) be the second derivative of s**8/23520 - 2*s**7/2205 - 14*s**4/3 - s**2 - 3*s + 18. Let k(l) be the third derivative of b(l). Factor k(h).
2*h**2*(h - 8)/7
Let t(w) = 12*w + 20. Let k be t(9). Let a be 2/8*k/144. Let 0*z + 4/9*z**3 + 0*z**2 - 2/9*z**5 + a*z**4 + 0 = 0. Calculate z.
-1, 0, 2
Let 1357952 + 1648*t + 1/2*t**2 = 0. Calculate t.
-1648
Let w be (305 + 0)*6/(-15). Let z = 180 + w. Find h, given that -93*h**2 + 35 + 5*h + z*h**2 - 5*h**3 + 0*h**3 + 0*h**3 = 0.
-7, -1, 1
Factor -1/2*g**3 - g**2 + 4 + 2*g.
-(g - 2)*(g + 2)**2/2
Let r(a) be the third derivative of a**5/60 + 11*a**4/12 + 19*a**3/2 - 7017*a**2. Factor r(x).
(x + 3)*(x + 19)
Let w(i) be the first derivative of i**6/9 + 14*i**5/15 + 3*i**4 + 44*i**3/9 + 13*i**2/3 + 2*i + 2233. Find j such that w(j) = 0.
-3, -1
Let c(a) be the second derivative of -3 - 1/10*a**6 + 9/2*a**3 - 31*a + 9/4*a**4 - 3/20*a**5 + 0*a**2. Determine o so that c(o) = 0.
-3, -1, 0, 3
Let 46*d**3 - 1664/11*d - 196/11*d**2 - 1024/11 + 64/11*d**4 + 2/11*d**5 = 0. What is d?
-16, -1, 2
Let q(d) be the first derivative of -d**4/72 + 11*d**3/36 - 7*d**2/3 - 149*d + 46. Let w(c) be the first derivative of q(c). Factor w(j).
-(j - 7)*(j - 4)/6
Let y(u) = 25*u**2 + 2260*u - 255350. Let h(v) = -3*v**2 - 3. Let c(z) = -10*h(z) - y(z). Determine s so that c(s) = 0.
226
Let z = -9 + 2104. Suppose -z + 1055 + 10*q + q**2 + 1056 = 0. Calculate q.
-8, -2
Let r(c) = -c + 17. Let y be r(11). Let b(t) = t**2 - 6*t + 3. Let o be b(y). Solve -g + 1083*g**o - 1085*g**3 - 2*g**2 + g = 0.
-1, 0
Let -1517 + 2436 + 234*m - 1887 + 293*m + 4*m**2 - 51*m = 0. Calculate m.
-121, 2
Suppose 30 + 30 = 20*f. Factor -62*w**f + 29*w**2 - 3*w**5 - 5*w**4 - 4 + 85*w**3 - 4*w**5 + 3*w + w.
-(w - 2)*(w + 1)**3*(7*w - 2)
Let j(o) be the first derivative of o**5/40 + o**4/4 - 35*o + 102. Let z(a) be the first derivative of j(a). Factor z(d).
d**2*(d + 6)/2
Let y(a) be the first derivative of 2*a**5/15 + a**4 - a**3/6 - 19*a**2/12 - a + 935. Let y(x) = 0. Calculate x.
-6, -1/2, 1
Let h be (-361)/(-38) + 2/4. Factor 343*n**2 - 5 - 7 + h*n - 345*n**2.
-2*(n - 3)*(n - 2)
Let u(h) = -8*h**3 - 13*h**2 + 16*h + 39. Let p(q) = -35*q**3 - 52*q**2 + 66*q + 161. Let w(d) = 6*p(d) - 26*u(d). What is r in w(r) = 0?
-1, 2, 12
Suppose -2/7*c**2 - 890/7 + 892/7*c = 0. What is c?
1, 445
Suppose -469 = -9*n + 413. Suppose 3*o - 98 = -n. Factor 2/17*x**2 + o - 4/17*x.
2*x*(x - 2)/17
Let c = -9 + 11. Let w = -74 - -78. Factor -w*s**2 - 4*s**3 + 3*s**3 + s**c + 0*s**3 + 4.
-(s - 1)*(s + 2)**2
Let b(d) = 3*d - 56. Let y be b(20). Suppose 2*k = -4*q + 10, -5*q = -y*q + 2*k - 10. Factor q - 1/11*s**3 + 1/11*s**4 + 0*s + 0*s**2.
s**3*(s - 1)/11
Let r be ((2 - -2) + 14)*1. Suppose 3*x = 5*x - r. Factor x*g**2 + 12*g + 3*g**2 - 16*g**2.
-4*g*(g - 3)
Suppose -4*z - 20 = 0, 2*s - 32 = 7*z - 3*z. Determine t so that 5 - 2*t**3 - 5 - 9 - 3*t - s*t**3 + 7*t**3 + 5*t**2 = 0.
-1, 3
Solve -416*q + q**3 - 2*q**3 + 1645 + 37*q**2 - 365 = 0.
5, 16
Let y(v) be the third derivative of -v**5/140 - 153*v**4/56 + 155*v**3/7 - 4*v**2 + 340*v. Factor y(s).
-3*(s - 2)*(s + 155)/7
Let y(v) be the second derivative of 1/180*v**6 + 19/120*v**5 + 0 + 10/9*v**4 - 206*v - 25/9*v**3 + 0*v**2. Factor y(a).
a*(a - 1)*(a + 10)**2/6
Let m(a) = 6*a + 136. Let x be m(-22). Determine v so that 5*v**3 - 5*v**2 - 4*v**4 + 61*v**5 + 9*v**x - 66*v**5 = 0.
-1, 0, 1
Let b be 2/(-3) - 232/(-87). Suppose 31*y**2 - 84*y + 28*y**b - 63*y**2 = 0. What is y?
-21, 0
Let x(k) be the second derivative of -102*k + 13/140*k**5 + 5/42*k**4 + 0 + 0*k**3 - 1/210*k**6 - 2/147*k**7 + 0*k**2. Find f, given that x(f) = 0.
-5/4, -1, 0, 2
Let -250/3*v - 2/3*v**3 + 124/3 + 128/3*v**2 = 0. Calculate v.
1, 62
Let w(p) be the third derivative of -p**7/70 + 7*p**6/40 - 3*p**5/5 + 264*p**2 - 5. Let w(o) = 0. Calculate o.
0, 3, 4
Let y(c) = c**3 - 7*c**2 + 9*c - 10. Let u be y(6). Suppose w = -3*f - 9 + 24, -4*w + u = -f. Let -36 + m - f*m**2 - 15*m - 10*m = 0. What is m?
-3
Let f = 461 - 458. Let n(d) = -43*d**3 + 44*d**2 + 76*d - 8. Let j(c) = c**3. Let s(p) = f*j(p) + n(p). Factor s(l).
-4*(l - 2)*(l + 1)*(10*l - 1)
Let q(a) be the second derivative of 6/5*a**2 + 19/10*a**3 + 3/4*a**4 + 32 + a. Let q(t) = 0. What is t?
-1, -4/15
Factor 263 - 740*p**2 + 333 + 2048*p + 50 + 83*p**3 + 122 - 3*p**4.
-(p - 12)*(p - 8)**2*(3*p + 1)
Suppose 2 = -70*z + 48 + 94. Find b, given that 27 - 3/2*b**5 + 9*b**4 + 45/2*b - 24*b**z - 9*b**3 = 0.
-1, 2, 3
Let d be 0*((5643/18)/(-33) + (-27)/(-3)). Factor n**3 + 79/7*n**2 + 22/7*n + d.
n*(n + 11)*(7*n + 2)/7
Let q(j) be the first derivative of -j**2 + 1/3*j**6 + 0*j**4 + 25 - 4/3*j**3 + 0*j + 4/5*j**5. Factor q(v).
2*v*(v - 1)*(v + 1)**3
Let p be (-3 + 60/35 + 1)*-7. Factor -8*l**4 - 36*l**3 - 8*l + 464*l**p - 4*l**5 - 492*l**2 - 12*l**4.
-4*l*(l + 1)**3*(l + 2)
Let p be (-2*(-6)/(-15))/(2/(-10)). Factor 7 - 27 - 16 - w**4 + p*w + 27*w**2 + 6*w**3.
-(w - 9)*(w - 1)*(w + 2)**2
Let m be (-1972)/12325*1/(-2). Let g(a) be the first derivative of -1/15*a**6 - 8/5*a - 8/5*a**2 + 1/2*a**4 - 9 - 2/15*a**3 + m*a**5. Factor g(h).
-2*(h - 2)**2*(h + 1)**3/5
Let 27*i - 284 - 59 + 110*i**2 - 69*i + 178*i**2 - 3*i**4 + 58 + 42*i**3 = 0. Calculate i.
-5, -1, 1, 19
Let m be 104/832*(-8)/(-3). Let k(p) = -2*p - 7. Let o be k(-6). Factor -1/3*v**2 + m*v**3 - 1/3*v**o + 1/3*v**4 + 0 + 0*v.
-v**2*(v - 1)**2*(v + 1)/3
Let g(u) = 635*u**2 - 257125*u + 78653900. Let x(n) = -15*n**2 + 6122*n - 1872712. Let w(y) = 2*g(y) +