+ 3)/5
Let y(z) be the third derivative of z**8/896 - z**7/168 + z**6/960 + 3*z**5/80 - z**4/48 - z**3/6 - 12*z**2 - 16*z. Determine g so that y(g) = 0.
-1, -2/3, 1, 2
What is y in 20*y**2 - 2*y**4 + 1001 - 22*y**3 - 1001 + 4*y**5 = 0?
-5/2, 0, 1, 2
Let b(q) be the third derivative of q**7/1365 + 2*q**6/65 + 9*q**5/65 - 90*q**4/13 + 675*q**3/13 + 441*q**2. Factor b(t).
2*(t - 3)**2*(t + 15)**2/13
Let i(n) be the first derivative of n**4/2 - 8*n**3/3 - n**2 + 8*n - 164. Determine q so that i(q) = 0.
-1, 1, 4
Let w be 2227/170 - (0 - 1). Let g = w - 27/2. Solve 0*u**2 - 1/5*u**3 + g*u - 2/5 = 0 for u.
-2, 1
Let f = -5 - -7. Solve 8*s**2 - 5*s**2 + f*s**2 = 0.
0
Let y = -2279/5 + 457. Determine q so that 6/5*q**2 + y + 3*q = 0.
-2, -1/2
Let h(g) be the first derivative of 0*g**2 + 4/15*g**3 - 14 + 0*g + 1/5*g**4 + 1/25*g**5. Factor h(d).
d**2*(d + 2)**2/5
Let y(f) be the second derivative of -1/100*f**5 - 1/150*f**6 + 0 + 1/10*f**4 - 3*f - 4/5*f**2 + 2/15*f**3. Suppose y(q) = 0. Calculate q.
-2, 1, 2
Let x(b) be the third derivative of -b**6/600 - b**5/150 - b**4/120 + 124*b**2. Find l such that x(l) = 0.
-1, 0
Let o(c) be the first derivative of -c**6/420 - c**5/210 + c**4/42 + 33*c**2/2 + 29. Let v(d) be the second derivative of o(d). Factor v(p).
-2*p*(p - 1)*(p + 2)/7
Let m(i) be the second derivative of -5*i**4/12 + 35*i**3/6 - 3*i - 11. Let m(w) = 0. Calculate w.
0, 7
Let p(y) = 21*y**2 - y - 3. Let b be p(-2). Factor -71*n + 3*n**3 + 9*n**2 + 160*n - b*n.
3*n*(n + 1)*(n + 2)
Suppose -5*r = -5*z - 10, 4*r + 4*z = z + 8. Let w(n) be the first derivative of -3*n + 3/2*n**r - 3/4*n**4 + n**3 + 5. Determine a so that w(a) = 0.
-1, 1
Factor -2/7*w**4 + 34/7*w**2 + 2*w**3 + 18/7*w + 0.
-2*w*(w - 9)*(w + 1)**2/7
Let o(q) = q**2 + 7*q - 16. Let i(w) = w - 1. Let l(y) = 6*i(y) - 3*o(y). Factor l(z).
-3*(z - 2)*(z + 7)
Factor -9*d**3 + 3*d - 22*d**2 + 2*d**4 - 12*d**3 - 5*d**4 - 11*d - 5*d**4 - d**5.
-d*(d + 1)**2*(d + 2)*(d + 4)
Suppose 0 - 2 = 4*c + 5*r, 4*r + 8 = 0. Let v(m) = 4*m**3 + 10*m**2 + 5*m - 1. Let n(h) = -4*h**3 - 11*h**2 - 5*h + 2. Let q(b) = c*n(b) + 3*v(b). Factor q(j).
(j + 1)*(2*j + 1)**2
Suppose 4*f = -0*f - 160. Let i be 2/(-8) + f/(-32). Let o(c) = c**2 + 3*c - 4. Let n(p) = p - 1. Let z(x) = i*o(x) - 5*n(x). Factor z(q).
(q - 1)**2
Let x = 12 + -11. Let a be x/1 - 6/14. Find s, given that -a*s - 2/7*s**2 - 2/7 = 0.
-1
Let q(n) be the third derivative of -1/15*n**5 + 0*n - 10/3*n**3 + 38*n**2 + 0 - n**4. Factor q(h).
-4*(h + 1)*(h + 5)
Let h(q) be the first derivative of 50 + 2/3*q**3 - 1/2*q**4 + 0*q + 2*q**2. Factor h(x).
-2*x*(x - 2)*(x + 1)
Let d(s) be the first derivative of s**6/540 + s**5/135 + s**4/108 + 6*s**3 - 1. Let l(k) be the third derivative of d(k). Suppose l(a) = 0. Calculate a.
-1, -1/3
Suppose -2 = -5*t + 18. Suppose -3*u = -5*u + t*o + 20, u - 13 = 3*o. Factor -u*j**3 + 0*j**2 - j**3 - 2*j + 6*j**3 + j**2.
j*(j - 1)*(j + 2)
Let p(n) be the second derivative of 7*n**5/30 + 121*n**4/18 + 146*n**3/9 + 32*n**2/3 - 185*n. Solve p(m) = 0 for m.
-16, -1, -2/7
Let g = -27 + 34. Factor g + 2 - 25*o + 1 + 10*o**2.
5*(o - 2)*(2*o - 1)
Let v(k) = -15*k**3 - 43*k**2 + 28*k + 17. Let b(x) = 7*x**3 + 20*x**2 - 13*x - 8. Let q(r) = 13*b(r) + 6*v(r). Solve q(w) = 0.
-2, -1, 1
Let t(c) be the third derivative of -10*c**2 - 1/50*c**5 - 1/100*c**6 + 0*c**3 - 1/60*c**4 + 0*c + 0 - 1/525*c**7. Factor t(f).
-2*f*(f + 1)**3/5
Let z = 622/7 - 88. Suppose -5*o + 4*o - 7 = -4*b, 5*o + 3 = 4*b. Solve -3/7 + 3/7*x**4 + 0*x**b + 6/7*x - z*x**3 = 0 for x.
-1, 1
Let b be (5 - 4)/(3/45). Suppose -3*g + 0*m = 5*m - b, 2*m - 6 = 3*g. Find r such that g - 2/5*r - 2/5*r**2 = 0.
-1, 0
Let b(o) be the second derivative of 4*o + 0*o**3 + 5/12*o**4 + 0 + 1/12*o**5 + 0*o**2. Factor b(v).
5*v**2*(v + 3)/3
Let r(h) = 2*h + 25. Let g be r(-11). What is o in 45*o**4 - 3*o**g - 42*o**4 - 9*o**2 + 6*o + 3*o**3 = 0?
-2, 0, 1
Suppose -2*g = -5*g + y - 5, -6 = 2*g - 2*y. Let w be (-2 + -1 - (-4 - g))/(-1). Factor 0*j + w + 3/2*j**2.
3*j**2/2
Suppose 0 = 40*q - 45*q - 87*q + 184. Let y = -4 - -7. Determine h so that y*h**q + 2/3*h + 0 = 0.
-2/9, 0
Let k = 77 - 44. Factor 110*b**3 - k*b**2 + 46*b**3 - 293*b**4 + 9*b**2 - 147*b**5 + 83*b**4.
-3*b**2*(b + 2)*(7*b - 2)**2
What is q in 211*q - 4699 + 6*q**2 - 3*q**2 + q**2 + 309*q + 21599 = 0?
-65
Factor -9/2*p + 3/2*p**2 + 3.
3*(p - 2)*(p - 1)/2
Suppose -64*f = -11*f - 212. Let r(a) be the second derivative of 0 - 1/3*a**3 + 0*a**2 - 5*a + 1/3*a**f - 1/10*a**5. Factor r(d).
-2*d*(d - 1)**2
Let q = 433 - 428. Let a(z) be the first derivative of 1/35*z**q + 5/28*z**4 + 2 + 0*z - 2/21*z**3 - 1/7*z**6 + 0*z**2. Suppose a(d) = 0. Calculate d.
-1, 0, 1/2, 2/3
Let v(j) be the first derivative of -j**3/15 + j**2/10 - 152. Find c such that v(c) = 0.
0, 1
Suppose -13*a - 20 = -20. Factor a*s + 3*s**3 + 0 - 3/4*s**2.
3*s**2*(4*s - 1)/4
Let s(t) be the second derivative of -t**6/180 + 13*t**5/120 - 23*t**4/36 + 4*t**3/3 - 491*t. Factor s(b).
-b*(b - 8)*(b - 3)*(b - 2)/6
Let o(u) be the first derivative of -10/9*u**2 + 15 - 2/27*u**3 - 50/9*u. What is t in o(t) = 0?
-5
Let f(s) = 191*s - 2098. Let u be f(11). Factor 0*o**4 + 0 + 1/2*o**5 - o**u + 1/2*o + 0*o**2.
o*(o - 1)**2*(o + 1)**2/2
Let -66*f**3 + 13328*f + 11479*f**2 + 10976 + 162*f**3 + 76*f**3 + 5*f**4 - 8959*f**2 - f**4 = 0. What is f?
-14, -1
Let c(s) be the first derivative of -21/2*s**2 + 3/5*s**5 + 9*s**3 - 15/4*s**4 + 6*s + 16. Factor c(v).
3*(v - 2)*(v - 1)**3
Let c(b) = -4*b**4 + 21*b**3 - 20*b**2 + 8*b + 5. Let z(u) = 6*u**4 - 32*u**3 + 30*u**2 - 12*u - 8. Let a(v) = -8*c(v) - 5*z(v). Factor a(l).
2*l*(l - 2)*(l - 1)**2
Let s be (0/5)/(9 + -7). Let c(l) be the second derivative of 3/16*l**4 + s + 1/8*l**3 + 4*l - 3/20*l**5 + 0*l**2. Suppose c(g) = 0. Calculate g.
-1/4, 0, 1
Let u(l) be the second derivative of -3/20*l**5 - 6*l**2 - 9/2*l**3 - 3/2*l**4 + 0 + 16*l. Factor u(p).
-3*(p + 1)**2*(p + 4)
Let r(u) be the first derivative of -u**5/10 - 7*u**4/24 + u**3/6 - 3*u - 12. Let a(d) be the first derivative of r(d). Solve a(f) = 0 for f.
-2, 0, 1/4
Let r(k) be the third derivative of k**5/30 + 5*k**4/2 + 125*k**3/3 - 12*k**2 - 2. Factor r(z).
2*(z + 5)*(z + 25)
Let v(x) = -1250*x - 7498. Let w be v(-6). Solve -9 - 15/4*j**w + 24*j = 0 for j.
2/5, 6
Let p(v) be the second derivative of -169*v**6/72 - 13*v**5/3 - 10*v**4/3 + 13*v**3/2 + v + 18. Let y(h) be the second derivative of p(h). Factor y(a).
-5*(13*a + 4)**2
Suppose 5*v = -3*s + 29, v + 13 = 2*v + 3*s. Determine p, given that 7 - 16*p**4 - 18*p**3 - 3 + 2*p**4 + 0*p**v + 10*p**2 + 18*p = 0.
-1, -2/7, 1
Let z(a) = -a**3 - 15*a**2 - 14*a + 3. Let m be z(-14). Solve 0 + 0*r + 2/3*r**m + 2/3*r**2 = 0.
-1, 0
Let g be 1/42 + 1 + -1. Let s(k) be the third derivative of 0 + 0*k - 6*k**2 + g*k**4 + 1/42*k**3 + 1/140*k**5. Factor s(l).
(l + 1)*(3*l + 1)/7
Let b = 325 + -319. Let x(j) be the second derivative of 0 - b*j**2 + 5*j - 1/3*j**4 + 8/3*j**3. Factor x(c).
-4*(c - 3)*(c - 1)
Let h(t) be the first derivative of 0*t - 12/25*t**5 - 23 - 13/10*t**4 - 4/5*t**2 - 1/15*t**6 - 8/5*t**3. Factor h(j).
-2*j*(j + 1)**2*(j + 2)**2/5
Suppose -6*h = -11 + 5. Factor 5 + 3*u**3 - 6*u**2 + h - 3*u + 0.
3*(u - 2)*(u - 1)*(u + 1)
Let u = 17/20 - 133/180. Let j(n) be the second derivative of 4*n + 0*n**2 - 1/18*n**4 + 0 + u*n**3. Factor j(i).
-2*i*(i - 1)/3
Let r(h) be the first derivative of h**7/105 + h**6/60 - h**5/30 - h**4/12 - 27*h**2/2 - 31. Let n(y) be the second derivative of r(y). Factor n(d).
2*d*(d - 1)*(d + 1)**2
Suppose 19*w - 24*w - 175 = 0. Let d = 39 + w. Determine y, given that -512*y**3 - 576*y**2 - 512/3*y**d - 288*y - 54 = 0.
-3/4
Let z(v) be the second derivative of -1/3*v**3 - 5/6*v**2 - 1/36*v**4 + 0 + 14*v. Factor z(p).
-(p + 1)*(p + 5)/3
Let a(j) be the third derivative of 5*j**8/336 + j**7/14 + j**6/12 - 20*j**2 + 1. Determine y so that a(y) = 0.
-2, -1, 0
Let 124*q**3 - 316*q**2 + 356*q**4 + 48 - 104 + 260*q - 368*q**4 = 0. What is q?
1/3, 1, 2, 7
Let s(k) = -4 + 8*k + 0 - 6*k. Let c be s(2). Let 8*b**2 + b**3 - 5*b - 4*b**3 - b**2 + c*b**2 + 1 = 0. What is b?
1/3, 1
Let s(x) be the second derivative of -7*x**6/360 + x**5/4 - x**4/3 + x**3/2 + 5*x. Let r(n) be the second derivative of s(n). Facto