) = 0.
4125
Let h be (-7)/(-3) + -19 + -26 + (-938)/(-21). Factor 0 + 2/3*l**h - l**3 + 0*l + 1/3*l**5 + 0*l**4.
l**2*(l - 1)**2*(l + 2)/3
Let u be (-241)/((-18075)/7200) + (4 - 0). Find o such that -280/3*o - 4/3*o**4 - u + 16*o**2 + 8*o**3 = 0.
-3, -1, 5
Let t be 6479/33 - (-2)/(-6). Suppose -8*h - 4*p = -4*h - t, -4*p = 3*h - 148. Factor -268*u**3 - h*u**2 + 18*u + 15*u - 6 + 289*u**3.
3*(u - 1)**2*(7*u - 2)
Determine j so that 17*j**4 - 1082*j**2 + 13148 + 310*j**3 - 13533 - j**5 + 1131*j + 10*j**4 = 0.
-11, 1, 35
Suppose -3*p = 12*w - 13*w + 14, 5*w + 3*p = -2. Suppose -163*c**3 + c**2 - 2 + 167*c**3 + w*c**5 + c**2 - 3*c - 3*c**5 = 0. Calculate c.
-1, 1, 2
Suppose 0 = -23*l - 1082 + 116. Let y = 216/5 + l. Factor 0 - 2/5*w**4 - 2/5*w - 6/5*w**3 - y*w**2.
-2*w*(w + 1)**3/5
Let b be 14/4 + 3*12/(-72). Let p be -2*((-7)/(-16))/(-7). Determine t, given that 1/8*t**2 - 1/8*t + 1/8*t**b - p = 0.
-1, 1
Let x(z) = -z**2 - z. Let c(j) = -14*j**2 + 240*j - 82*j**2 + 108 + 231*j**2. Let b(d) = c(d) - 12*x(d). Factor b(t).
3*(7*t + 6)**2
Suppose 6*d - 281 - 55 = 0. Let u be 9 + d/24 + -10. Factor -u*x**2 + 16/3*x - 16/3.
-4*(x - 2)**2/3
Let f(n) be the third derivative of -n**5/15 - n**4/24 + 25*n**3 + 69*n**2 + 3*n - 7. What is j in f(j) = 0?
-25/4, 6
Let z(x) be the first derivative of 2*x**3/21 + 16*x**2/7 + 30*x/7 - 2066. Factor z(h).
2*(h + 1)*(h + 15)/7
Solve -2/11*o**3 + 10/11*o + 4/11 - 2/11*o**4 + 6/11*o**2 = 0.
-1, 2
Let c = 397 - 389. Determine g so that 15*g + 4*g**3 - 35*g - 32 - 4*g**2 - c*g - 12*g = 0.
-2, -1, 4
Let d(c) = 5*c**3 + 2*c**2 - 5*c + 4. Let m be d(0). Determine b so that -2/3*b**2 - 11/9*b**3 - 1/3*b**m + 0*b + 0 = 0.
-3, -2/3, 0
Let f(n) be the first derivative of -n**3/3 - 3395*n**2/6 + 1132*n/3 + 4801. Solve f(k) = 0.
-1132, 1/3
Let w(y) = 56*y**3 - 76*y**2 - 144*y - 8. Let p(o) = -3*o**3 - 2*o**2 + o - 1. Let f(i) = -4*p(i) - w(i). Determine l so that f(l) = 0.
-1, -1/11, 3
Factor 18*d**3 - 486*d - 4387*d**2 + 268*d - 902*d**2 + 40*d - 704*d.
3*d*(d - 294)*(6*d + 1)
Let t(l) be the first derivative of l**3/15 - 85*l**2 - 9139. Factor t(x).
x*(x - 850)/5
Let f(p) be the second derivative of 1 + 7/12*p**3 + 1/24*p**4 - 129*p - 2*p**2. Factor f(n).
(n - 1)*(n + 8)/2
Let -1/9*v**2 + 12*v - 107/9 = 0. Calculate v.
1, 107
Let k(i) be the second derivative of 0*i**2 + 0 - 2*i + 2*i**3 + 2/3*i**4. Factor k(n).
4*n*(2*n + 3)
Let z(p) = 2*p**3 + 3*p**2 - p. Let h(n) = 28*n**3 - 120*n**2 + 1136*n. Let u(b) = h(b) - 16*z(b). Solve u(i) = 0 for i.
-48, 0, 6
Let j(x) = 2*x**3 - 2. Let r(q) = 70*q**4 - 696*q**3 + 1688*q**2 + 72*q - 294. Let g(o) = 3*j(o) - r(o). Determine p, given that g(p) = 0.
-2/5, 3/7, 4, 6
Suppose -5*w = 4*g - 37, -3*g + 29 - 20 = 0. Let s(o) be the second derivative of 1/10*o**w + 0*o**2 - 12*o + 7/36*o**4 + 1/18*o**3 + 0. Factor s(t).
t*(t + 1)*(6*t + 1)/3
Let l = -642 + 510. Let k be (-12 - (-36)/6) + l/(-20). Factor 0 - k*b**2 - 3/5*b**3 + 0*b.
-3*b**2*(b + 1)/5
Factor 0 - 373/3*z - 1/3*z**2.
-z*(z + 373)/3
Let -51 + 12614*h**2 - 19 + 67*h - 25215*h**2 + 12604*h**2 = 0. What is h?
-70/3, 1
Let v = 5 - 31. Let y = 28 + v. Factor 30*u - y*u**2 + 20 - 5*u + 7*u**2.
5*(u + 1)*(u + 4)
Suppose -2*q + 2 = -v + 4, 5*q = 3*v - 10. Let l = -25 + 29. Factor -2*u**4 + 13*u**5 + 5*u**l - v*u**5.
3*u**4*(u + 1)
Let a be (3 - -5) + 65 + 0. Factor -73*p + a*p + 38*p**3 + 39*p**3 - 17*p**3 + 30*p**4 + 40*p**2 + 5*p**5.
5*p**2*(p + 2)**3
Let u(v) be the first derivative of v**8/420 - v**7/42 - 7*v**6/90 + v**5/6 + v**4 + 268*v**3/3 + 247. Let a(n) be the third derivative of u(n). Factor a(y).
4*(y - 6)*(y - 1)*(y + 1)**2
Suppose -20/17*d**3 + 0*d**2 + 0 + 18/17*d + 0*d**4 + 2/17*d**5 = 0. Calculate d.
-3, -1, 0, 1, 3
Factor -2905210 - 10784/5*u**3 - 14547612/5*u**2 - 2/5*u**4 - 5812576*u.
-2*(u + 1)**2*(u + 2695)**2/5
Let o = -2488524/5 - -497705. Factor -o*k**2 - 2916/5 + 108/5*k.
-(k - 54)**2/5
Let j = 5479/244 + -3649/244. Factor 1/2*b**3 + 13/2 + j*b**2 + 27/2*b.
(b + 1)**2*(b + 13)/2
Let o(z) be the first derivative of -30*z**3 + 29 + 10*z**2 - 24*z + 135/4*z**4. Let n(r) be the first derivative of o(r). Factor n(l).
5*(9*l - 2)**2
Let -65/6*a + 1/6*a**3 + 31/2 - 29/6*a**2 = 0. What is a?
-3, 1, 31
Suppose l = 4*l. Let -220*k**2 + 223*k**2 + 18*k + 15 + l = 0. What is k?
-5, -1
Let z(o) be the second derivative of o**7/42 - 4*o**6/15 - o**5/5 + 8*o**4/3 - 451*o. Factor z(i).
i**2*(i - 8)*(i - 2)*(i + 2)
Let s be 17/((-136)/(-96))*24/3. Suppose 0 = 97*c - s*c - 3. Factor -2/5*o**2 - 2/5*o**c + 8/5 + 8/5*o.
-2*(o - 2)*(o + 1)*(o + 2)/5
Let m(q) = 2*q**3 - 8*q**2 - 26*q + 16. Let z(a) = 4*a**3 - 15*a**2 - 53*a + 28. Let l(s) = 7*m(s) - 4*z(s). Factor l(o).
-2*o*(o - 5)*(o + 3)
Suppose 24*l = -k + 38, 5*k - 35 = -4*l - 77. Solve -6/7 - 1/7*n**l + n = 0 for n.
1, 6
Let c(o) be the third derivative of 0 - 16/3*o**3 + 62*o**2 - 7/30*o**5 + 0*o - 29/6*o**4. Factor c(l).
-2*(l + 8)*(7*l + 2)
Let f = 11 + -11. Suppose -a - 1 = -2*w + 35, 3*w - 3*a - 51 = f. Factor 44*m + w*m**2 + 9*m**2 - 4*m**2 - 8.
4*(m + 2)*(6*m - 1)
Let q(a) be the second derivative of -a**4/20 + 43*a**3/10 - 459*a**2/5 - 42*a + 16. Factor q(o).
-3*(o - 34)*(o - 9)/5
Let t(z) be the third derivative of -1/84*z**4 - 1/140*z**5 + 0 - 1/840*z**6 + 0*z - 33*z**2 + 0*z**3. Factor t(x).
-x*(x + 1)*(x + 2)/7
Let b(u) be the second derivative of -u**8/2520 - u**7/315 - u**3/6 - 23*u**2/2 + 11*u - 3. Let t(g) be the second derivative of b(g). Factor t(p).
-2*p**3*(p + 4)/3
Let f = 240803/5 + -48154. Factor -1/5*m**2 + 34/5 - f*m.
-(m - 1)*(m + 34)/5
Let g(u) be the first derivative of 117*u**4/7 - 2024*u**3/7 + 278*u**2 - 640*u/7 - 1951. Factor g(l).
4*(3*l - 1)**2*(13*l - 160)/7
Suppose -468846 - 2/7*a**2 - 732*a = 0. Calculate a.
-1281
Let w be ((-2)/(-12))/(117*13/117). Let j(c) be the second derivative of 0 + 17*c - w*c**4 + 4/13*c**2 - 1/13*c**3. Suppose j(x) = 0. Calculate x.
-4, 1
Let r(g) be the second derivative of -g**8/2184 - 8*g**7/1365 - g**6/60 - g**5/65 + 67*g**2/2 + 3*g + 39. Let w(o) be the first derivative of r(o). Factor w(x).
-2*x**2*(x + 1)**2*(x + 6)/13
Let v(w) = -w**2 - 5*w + 6. Let o be v(-6). Suppose o = -7*g + 14 - 0. Factor 856*j + 0 + 16 + 4*j**g - 836*j.
4*(j + 1)*(j + 4)
Let l = 6/149 + 280/447. Let f(w) be the first derivative of 11 - 17/5*w**5 - 4/3*w**3 - l*w**6 - 5*w**4 + 0*w + 0*w**2. Factor f(g).
-g**2*(g + 2)**2*(4*g + 1)
Let d(i) be the first derivative of i**5 - 275*i**4/2 + 715*i**3 - 1330*i**2 + 1060*i - 475. What is o in d(o) = 0?
1, 2, 106
Let s(z) be the second derivative of -5*z**6/2 - 17451*z**5/2 - 33860749*z**4/4 - 13530342*z**3 - 8115414*z**2 + 4358*z. Factor s(g).
-3*(g + 1163)**2*(5*g + 2)**2
Let r(y) be the first derivative of y**5 - 16*y**4/3 + 8*y**3/3 - 39*y**2/2 + 40. Let v(k) be the second derivative of r(k). Find w such that v(w) = 0.
2/15, 2
Let x(g) be the second derivative of 0 + 15/4*g**4 - 6/5*g**5 + 45*g - 3*g**3 - 3/2*g**2. Find h, given that x(h) = 0.
-1/8, 1
Let t be -1 - (12/3 + -4). Let m(b) = -6*b**2 - 14. Let l(r) = r**2 + r + 2. Let z(j) = t*m(j) - 5*l(j). Factor z(k).
(k - 4)*(k - 1)
Let r(g) = g**2 - 18*g - 40. Let m be r(20). Factor 0*x**2 + 2 + m*x**2 - 2*x + 1 - x**2.
-(x - 1)*(x + 3)
Let a(g) = -2*g - 1. Let b(l) = -674*l**2 + 1352*l**2 - 14 - 677*l**2. Let v(u) = 2*a(u) + 2*b(u). Factor v(w).
2*(w - 5)*(w + 3)
Let i(t) be the first derivative of 3*t**5/5 - 135*t**4/4 - 1211. Factor i(c).
3*c**3*(c - 45)
Let i = 127273 - 127273. Solve i + 2/13*f**4 - 16/13*f - 30/13*f**2 - 12/13*f**3 = 0.
-1, 0, 8
Let r be (1148/(-4018))/(1/7*-1). Let v(n) be the third derivative of 0*n - 1/15*n**6 + 1/2*n**4 + 1/105*n**7 - 31*n**r + 0 + 1/30*n**5 + 0*n**3. Factor v(u).
2*u*(u - 3)*(u - 2)*(u + 1)
Let r be 5*4/10 + (9 - 8)*5. Let j(z) be the first derivative of 0*z**2 - 1/18*z**3 + 0*z - 1/24*z**4 - r. Factor j(h).
-h**2*(h + 1)/6
Let v(d) be the second derivative of -d**8/560 + d**7/56 - d**6/20 - d**5/10 + d**4 - 9*d**3/2 + 76*d. Let s(g) be the second derivative of v(g). Factor s(j).
-3*(j - 2)**3*(j + 1)
Let x be 23/3*(-1416)/(-5428). Find i, given that 42/5*i**3 + 106/5*i**x + 8/5 + 54/5*i - 18/5*i**4 = 0.
-1, -1/3, 4
Suppose 7*r - 36 = -2*r. Find o such that 5*o**r + 11 + 10*o**3 + 0*o**3 - 10*o 