8 - -166. Let z be s/((-432)/(-35)) - (-2)/(-16). Factor 0*w + z*w**2 - 4/3.
4*(w - 1)*(w + 1)/3
Let j(l) be the first derivative of 4*l**3/21 - 346*l**2/7 + 2704*l/7 - 7537. Factor j(w).
4*(w - 169)*(w - 4)/7
Let k be -2*(63/(-54) - 0). Let p(r) be the first derivative of -k*r**3 - r**4 + r - 1 - r**2. Factor p(y).
-(y + 1)**2*(4*y - 1)
Let j(w) be the third derivative of -w**7/12600 - 23*w**6/1800 - 11*w**4/2 - 2*w**2 - 100*w. Let d(s) be the second derivative of j(s). Factor d(x).
-x*(x + 46)/5
Factor 84760/3*v - 71284/5*v**2 - 2/15*v**4 + 1304/15*v**3 - 42250/3.
-2*(v - 325)**2*(v - 1)**2/15
Suppose b - 38 = 2*h, 2*b - 58 = -7*h + 2*h. Suppose 10*s + b = 54. Suppose -2/7*j**4 - 30/7*j**s + 0 + 50/7*j - 18/7*j**3 = 0. Calculate j.
-5, 0, 1
Suppose -8*n + 10*n = 5*t - 32, -3*n - 9 = -t. Let 64 + r**2 + 7*r - t*r**2 + 15*r + 38*r + r**2 = 0. Calculate r.
-1, 16
Let y(k) be the second derivative of 1/10*k**5 - k**2 + 0 + 5/12*k**4 - 93*k + 1/6*k**3. Factor y(d).
(d + 1)*(d + 2)*(2*d - 1)
Let v(h) be the first derivative of -4/9*h**3 + 107 + 4/3*h + 0*h**2. Suppose v(j) = 0. Calculate j.
-1, 1
Let h(m) be the third derivative of m**6/360 - 31*m**5/3 - 1861*m**4/72 - 3177*m**2. Solve h(l) = 0.
-1, 0, 1861
Let -1/4*z**3 - 5/4*z**2 + 89/2*z + 182 = 0. Calculate z.
-14, -4, 13
Let z = -13 + 15. Let s = -7282 + 50978/7. What is i in -1/7*i**z + s - 3/7*i = 0?
-4, 1
Let u(s) be the second derivative of -s**5/6 - 7*s**4/2 - 16*s**3/3 + 2*s**2 - 2*s - 24. Let d(c) be the first derivative of u(c). Factor d(f).
-2*(f + 8)*(5*f + 2)
Let p = 46 + -44. Suppose 5*c - p*z + 1 - 19 = 0, 0 = -5*c - 5*z - 10. Factor 20*q**2 - 25*q - 10*q**4 + 15*q**3 + 3*q - 5*q**5 + c*q.
-5*q*(q - 1)**2*(q + 2)**2
Let u be (-1 - 180/(-165)) + 128/1133. Let z = u + 1169/1339. Factor -12/13 - 2/13*h**2 + z*h.
-2*(h - 6)*(h - 1)/13
Let l(g) = -g**3 + 3*g**2 + 12*g - 6. Let i = 206 - 201. Let b be l(i). Let -4*s**3 - 9/2 - 1/2*s**b - 12*s - 11*s**2 = 0. Calculate s.
-3, -1
Let p(c) be the second derivative of -1/20*c**5 + 0*c**2 + 4/9*c**4 - 55*c - 1/90*c**6 - 2/3*c**3 + 0. Factor p(f).
-f*(f - 2)*(f - 1)*(f + 6)/3
Factor 2325/2*i - 3/2*i**2 - 1161.
-3*(i - 774)*(i - 1)/2
Determine q, given that -100/17*q + 2/17 + 1250/17*q**2 = 0.
1/25
Let s(a) be the first derivative of -7/15*a**5 + 1/18*a**6 + 64 + 7/6*a**4 - 8/9*a**3 + 0*a**2 + 0*a. Solve s(p) = 0.
0, 1, 2, 4
Let t be 2/(-16) - 0 - -4*84/896. Suppose -1/2 - t*j**2 - 3/4*j = 0. What is j?
-2, -1
Suppose -3244*h + 364*h = 392*h - 9816. Factor 320/3*t**h + 98/9*t**5 + 0 + 0*t - 136/9*t**2 - 574/3*t**4.
2*t**2*(t - 17)*(7*t - 2)**2/9
Let p be -15 + (-10260)/(-280) - 21. Let y(m) be the second derivative of -3/35*m**5 - 3/28*m**4 + p*m**3 - 3/7*m**2 + 0 + 13*m. Find u, given that y(u) = 0.
-2, 1/4, 1
Let -35/12*p**2 + 1/12*p**3 - 59/6*p + 38/3 = 0. What is p?
-4, 1, 38
Let t(k) be the third derivative of k**5/120 + 133*k**4/24 + 17689*k**3/12 + 6*k**2 + 77. Factor t(g).
(g + 133)**2/2
Let h(a) be the first derivative of a**5/10 - 15*a**4/8 - 12*a**3 - 19*a**2 + 241. Solve h(j) = 0 for j.
-2, 0, 19
Let l(q) be the second derivative of q**5/10 + 25*q**4/6 + 32*q**3/3 + 157*q**2/2 + 74*q + 2. Let u(b) be the first derivative of l(b). Factor u(z).
2*(z + 16)*(3*z + 2)
Let i(v) be the first derivative of 1/3*v**3 - 52 + 0*v + 67/2*v**2. Solve i(u) = 0.
-67, 0
Factor 6/7 + 78/7*l**3 + 11*l**2 - 67*l.
(l - 2)*(l + 3)*(78*l - 1)/7
Let n(v) be the first derivative of v**6/6 - 2*v**5 - 36*v**4 - 482*v**3/3 - 577*v**2/2 - 228*v + 322. Let n(i) = 0. Calculate i.
-4, -3, -1, 19
Suppose t + 88 = -3*t. Let b = t - -27. Find z such that -12 - b - 1 + 2 + 4*z**2 = 0.
-2, 2
Let o be (((-12)/(-16))/3)/(2/17 - 282/(-38352)). Suppose -1/3*b**4 + b**3 - b - 10/3 + 11/3*b**o = 0. Calculate b.
-2, -1, 1, 5
Let a(p) be the third derivative of 96*p**2 - 1/6*p**3 - 1/16*p**4 + 2*p + 0 - 1/80*p**5 - 1/960*p**6. Determine y, given that a(y) = 0.
-2
Let c = -7751 + 23284/3. Suppose 4*l - 4 - 12 = 0. Find h, given that 8*h**2 - 35/3*h**5 + c*h**3 - 8*h**l + 0 + 4/3*h = 0.
-1, -2/5, -2/7, 0, 1
Let n be (-4)/20 - 1002/(-10). Suppose 6 + 2 = 4*t. Solve n*g + 90*g**t + 35*g**3 + 5*g**4 + 0*g**4 + 3*g**4 - 3*g**4 + 40 = 0 for g.
-2, -1
Let d(m) = 3*m**4 - 36*m**3 - 232*m**2 - 196*m + 1568. Let u(b) = -b**4 + b**3 + b + 4. Let f(n) = d(n) + 4*u(n). Find o such that f(o) = 0.
-22, -6, 2
Let t(u) = -u**2 - u + 6. Let w(m) = -m**2 - 2*m + 7. Let o be (1 + -4)*-1*4/3. Let j(n) = o*t(n) - 3*w(n). Factor j(g).
-(g - 3)*(g + 1)
Suppose 3*s - 5*m + 23 - 133 = 0, -4*s + 100 = 5*m. Suppose 31*n - s*n - 3 = 0. Let j**n + 1 - j - 3/4*j**2 - 1/4*j**4 = 0. Calculate j.
-1, 1, 2
Suppose -16 = -5*s + 4*b, -5*s - 6*b - 8 = -4*b. Factor 3/4*k**4 + 9/2*k + s - 3*k**3 + 3/4*k**2.
3*k*(k - 3)*(k - 2)*(k + 1)/4
Let n(u) be the second derivative of -6*u + 1/21*u**3 + 1/21*u**4 + 4 + 0*u**2 + 1/70*u**5. Factor n(y).
2*y*(y + 1)**2/7
Suppose -i - 15 = -4*c, -2*c - 5*i = -3 - 10. Determine u so that -7*u**4 + u**5 - 3*u**4 + 0*u**c + 2*u**4 + 13*u**3 - 6*u**2 = 0.
0, 1, 6
Factor 2 + 11*l - 16 - 16 - l**2 - 17*l + 17*l.
-(l - 6)*(l - 5)
Suppose 13*i + 6 - 32 = 0. Factor 13*m - 3*m - 42 - i*m + 3*m**2 + 7*m.
3*(m - 2)*(m + 7)
Let m be -3*(-534)/21 + 6/(-21). Suppose 363*h**2 - 196*h + 108 - 133*h - 143*h + m*h = 0. What is h?
6/11
Let f(i) = 11*i**4 + 1359*i**3 + 1360*i**2 - 9*i + 3. Let x(c) = -31*c**4 - 4079*c**3 - 4080*c**2 + 24*c - 8. Let b(v) = -8*f(v) - 3*x(v). Solve b(j) = 0 for j.
-272, -1, 0
Suppose 117*n**2 + 3*n**4 - 48 - 39*n**3 + 203*n**2 - 455*n**2 - 179*n + 38*n = 0. What is n?
-1, 16
Factor -2/3*j**2 + 14*j + 44/3.
-2*(j - 22)*(j + 1)/3
Factor -446 - 7168*t + 18816*t**2 - 21952*t**3 + 9604*t**4 + 298 + 331 + 841.
4*(7*t - 4)**4
Determine a so that 6/7*a**3 - 1053/7 + 699/7*a**2 - 360/7*a = 0.
-117, -1, 3/2
Let g(z) be the first derivative of -z**6/540 - z**5/36 - z**4/9 + z**3/3 - 2*z**2 - 38. Let r(q) be the third derivative of g(q). Factor r(a).
-2*(a + 1)*(a + 4)/3
Suppose 3*h - 4*s - 469 = -2*h, 5*s = 2*h - 191. Determine d, given that h*d + 136*d**2 + 119*d + 34*d**3 - 1312*d**4 + 2622*d**4 - 1308*d**4 - 12*d + 96 = 0.
-12, -2, -1
Let u(v) be the first derivative of v**4 + 28*v**3/3 + 12*v**2 + 723. Factor u(s).
4*s*(s + 1)*(s + 6)
Let m = 10 + -5. Let c(d) = 1302*d + 9116. Let o be c(-7). Factor -1/5*h**m - 1/5*h**3 + 0*h**o + 0*h + 0 + 2/5*h**4.
-h**3*(h - 1)**2/5
Let b be (-152)/(-24) - 16/12. Factor -2*l - 5255 - 2*l**b + 4*l**3 + 5255.
-2*l*(l - 1)**2*(l + 1)**2
Suppose 28*o = 4 + 108. Find n, given that 192*n**3 + 5*n**4 - 17*n**4 + 8*n**o - 2304*n**2 = 0.
0, 24
Let v = -9754 + 9754. Let s(z) be the third derivative of -4*z**3 + v*z - 4*z**2 + 4/15*z**5 + 1/30*z**6 + 0 + 1/6*z**4. Find u such that s(u) = 0.
-3, -2, 1
Solve -19/4*i**3 - 81/4*i - 99/4*i**2 + 0 - 1/4*i**4 = 0 for i.
-9, -1, 0
Let x(b) be the third derivative of -b**6/900 + b**5/6 - 287*b**4/180 + 71*b**3/15 - 925*b**2. Determine d so that x(d) = 0.
1, 3, 71
Let w be ((-4)/13)/(16/(-104)). Solve -58*d**w + 101*d**2 - 51*d**2 - 7*d - d**3 = 0.
-7, -1, 0
Let w(o) be the second derivative of -o**4/54 - 46*o**3/27 - 56*o**2/3 + 20*o - 44. Factor w(j).
-2*(j + 4)*(j + 42)/9
Let y be 5 - (24/10)/((-6)/1008). Let u = y + -405. Factor 2/5*o**2 + 12/5*o + u.
2*(o + 2)*(o + 4)/5
Let s(v) = 31*v + 389. Let m be s(-12). Let k(u) be the second derivative of 0 - 5/4*u**3 + 3*u**2 - m*u + 1/8*u**4. Factor k(n).
3*(n - 4)*(n - 1)/2
Factor -3/8*v**2 - 1401/4 + 1407/8*v.
-3*(v - 467)*(v - 2)/8
Let i(r) = 3*r**3 - r**2 - 3*r - 2. Let f(u) = -205*u**3 + 759*u**2 + 120*u + 10. Let q(l) = -2*f(l) - 6*i(l). Find o such that q(o) = 0.
-1/14, 4
Let d(o) = 32*o**2 + 220*o - 84. Let l(b) = b**2 + 2*b + 3. Let x(v) = d(v) - 28*l(v). Suppose x(h) = 0. What is h?
-42, 1
Let p(s) = 5*s + 16. Let j be p(10). Factor -153*c - 5 + j*c + 9*c**2 - 25 + 48*c.
3*(c - 5)*(3*c + 2)
Determine u, given that -88*u**3 - 4/3*u**5 + 268/3*u - 112/3*u**2 - 80/3*u**4 + 64 = 0.
-16, -3, -1, 1
Let l(d) be the second derivative of d**4/48 - 125*d**3/24 + 31*d**2/2 + 20*d + 2. Determine z so that l(z) = 0.
1, 124
Let s = -15 + 17. Suppose -7 = -s*p + 3. Factor -w**5 - 4*w**4 - 2*w**5 + w**p + w**5 + 4*w**2 + 3*w - 2*w**3.
-w*(w - 1)*(w + 1)**2*(w + 3)
Le