*f**2 + 9/7 + 6/7*f.
(f + 3)**2/7
Let w = -21 + 26. Factor -4*k**3 + 4*k**2 - 208*k**w + 4*k**2 - 8*k**4 + 212*k**5.
4*k**2*(k - 2)*(k - 1)*(k + 1)
Let l(p) be the first derivative of -17 - 2/15*p**3 - 18/5*p - 6/5*p**2. Factor l(b).
-2*(b + 3)**2/5
Let b = -50896/7 + 7291. Let z = b + -19. Suppose 71/7*r**3 - 4*r + z - 25/7*r**5 + 20/7*r**4 - 10/7*r**2 = 0. What is r?
-1, 2/5, 2
Let i(o) be the second derivative of 1/32*o**4 + 1/8*o**3 - o + 0 + 0*o**2. Suppose i(r) = 0. Calculate r.
-2, 0
Let u(c) be the third derivative of 0*c**4 + 1/504*c**8 - 1/315*c**7 - 1/30*c**5 + 0*c**3 - 10*c**2 - 1/36*c**6 + 0 + 0*c. Factor u(m).
2*m**2*(m - 3)*(m + 1)**2/3
Suppose -3 = 3*t - 4*t. Suppose 5 = -d, t*g - 5*d - 29 = -d. Solve -7 - 20*o**2 - 9 - 14*o + 4*o**g + 46*o = 0 for o.
1, 2
Let k be 1/((-12)/9) - (-50)/24. Let h(p) be the first derivative of 1/12*p**4 + 5/9*p**3 + 3 + 4/3*p**2 + k*p. Factor h(f).
(f + 1)*(f + 2)**2/3
Factor 12146/5*y**2 - 178/5*y**4 + 12512/5*y + 3686/5*y**3 + 2/5*y**5 + 4232/5.
2*(y - 46)**2*(y + 1)**3/5
Let x(j) = 2*j**4 - 2*j**3 + 64*j**2 - 148*j + 112. Let d(f) = f**4 - 2*f**3 + 63*f**2 - 149*f + 112. Let w(l) = 4*d(l) - 3*x(l). Determine m so that w(m) = 0.
-7, 2
Let u = 185 + -197. Let a be (4/16)/(u/(-32)). Determine w so that 8/3 + a*w**2 + 8/3*w = 0.
-2
Let r = -6901 + 6906. Let -16/3*s**2 + 16/9*s + 52/9*s**3 + 4/9*s**r + 0 - 8/3*s**4 = 0. What is s?
0, 1, 2
Solve 86/15*z - 2/15*z**2 + 0 = 0.
0, 43
Let x be (24 - 14)/(6/(-3) + 4). Let y(q) be the second derivative of 1/35*q**x - 8*q + 1/105*q**6 + 0 + 0*q**3 + 0*q**2 + 0*q**4. Factor y(t).
2*t**3*(t + 2)/7
Let f(a) = -4*a + 10. Let n be f(4). Let m be (-106)/(-22) + n/(-33). Solve 4*q + m*q**2 - 4*q + 12*q**3 - 4*q**5 + 3*q**2 = 0.
-1, 0, 2
Solve -8*n + 2*n**3 - 12*n**2 + 9*n**3 - n + 2*n**3 - 16*n**3 = 0 for n.
-3, -1, 0
Factor 153*i**2 + 2122416 - 1/4*i**3 - 31212*i.
-(i - 204)**3/4
Let p(w) = -w**3 - 7*w**2 - 6*w + 7. Suppose 5*m = v - 29, -4*m + 2*m = 3*v + 15. Let t be p(m). Solve -7*o**3 + 3*o**3 + t*o**3 = 0 for o.
0
Let v(l) be the first derivative of l**4/7 + 12*l**3/7 - 6*l**2 + 44*l/7 - 168. Find p, given that v(p) = 0.
-11, 1
Let c(q) = 3*q. Let d be c(1). Let s(j) = -2*j + 2. Let p be s(-3). Factor d - 3*t + p - 5 - 3*t**2.
-3*(t - 1)*(t + 2)
Let f be (-12 + 11)*((-19)/6 - -3). Let o(a) be the third derivative of -1/30*a**6 - f*a**4 + 0*a + 0*a**3 + 0 - 2*a**2 - 2/15*a**5. Solve o(k) = 0 for k.
-1, 0
Let d(q) be the first derivative of q**4/2 - 10*q**3/3 + 8*q**2 - 8*q + 30. Determine g, given that d(g) = 0.
1, 2
Suppose -s + 3*h = -12, -3*s - 2*h = -2*s + 3. Let j(c) = -c**3 + 7*c**2 + 10*c - 12. Let f be j(8). Factor 8 - f*y - 14*y**s + 18*y**2 - 8.
-2*y*(y - 1)*(7*y - 2)
Suppose 5*k - 15 = -5*i, 15 = -5*i - 0*i + 5*k. Suppose -3*p + 3*t + 51 + 9 = i, -98 = -5*p + 4*t. Factor c**2 - p - 2*c**2 - 2*c**3 + 11*c**2 - 6*c.
-2*(c - 3)**2*(c + 1)
Let p = 4 - 1. Let i be (1/p - 1)*(-18)/16. Let -1/2 + i*o - 1/4*o**2 = 0. What is o?
1, 2
Factor -79 - 5*a**2 - 90*a - 28 + 6 + 16.
-5*(a + 1)*(a + 17)
Let y = 5919/2 - 2959. Suppose z**3 + 0*z - 1/2*z**2 + 0 - y*z**4 = 0. What is z?
0, 1
Let n(g) = -g**2 + 5*g + 2. Let s(b) = -b - 2. Let y(a) = -n(a) - 2*s(a). Factor y(d).
(d - 2)*(d - 1)
Suppose -84*d + 584/7 + 4/7*d**2 = 0. Calculate d.
1, 146
Determine p so that 13/2 + 2*p**3 + 19*p - 55/2*p**2 = 0.
-1/4, 1, 13
Let d(j) be the third derivative of -j**7/1470 - j**6/140 + 19*j**5/420 + j**4/7 + j**2 - 570*j. Suppose d(h) = 0. Calculate h.
-8, -1, 0, 3
Let s(f) = 2*f**5 - 4*f**4 + 2*f**3 + 2*f**2 - 4*f. Let l(o) = -2*o**5 + 3*o**4 - o**3 - o**2 + 3*o + 1. Let v(z) = -2*l(z) - 3*s(z). Factor v(i).
-2*(i - 1)**4*(i + 1)
Let u(t) be the first derivative of t**4/24 - 2*t**3/9 - t**2/3 + 8*t/3 + 582. Determine z, given that u(z) = 0.
-2, 2, 4
Find d, given that 2/9*d**4 + 2/9*d**2 + 0 + 0*d - 4/9*d**3 = 0.
0, 1
Let s(n) be the second derivative of -n**6/300 + n**5/50 - n**4/20 + n**3/15 + 8*n**2 + 32*n. Let o(i) be the first derivative of s(i). Factor o(d).
-2*(d - 1)**3/5
Suppose -51*p + 53*p = 14. Suppose p = -n + 5*j, 3*j + 5 - 20 = -3*n. Find z such that -1/6 - 1/3*z**n + 1/6*z**5 + 1/6*z - 1/6*z**4 + 1/3*z**2 = 0.
-1, 1
Let i(h) = -16*h**2 - 1060*h - 261. Let u be i(-66). Let r(z) = z + 4. Let v be r(-4). Factor -2/13*l**u + 2/13*l - 2/13*l**4 + v + 2/13*l**2.
-2*l*(l - 1)*(l + 1)**2/13
Let r = -12 - -14. Let u(w) = 18*w**2 - 2*w**2 + 19*w + 20 + 12*w. Let m(z) = 3*z**2 + 6*z + 4. Let i(y) = r*u(y) - 11*m(y). Suppose i(v) = 0. Calculate v.
-2
Let l(s) be the second derivative of -2*s**7/315 + 11*s**6/225 - s**5/10 - s**4/18 + 17*s**3/45 - 2*s**2/5 - 237*s. Determine d, given that l(d) = 0.
-1, 1/2, 1, 2, 3
Suppose 0*j**4 + 4/9*j**2 + 0*j - 2/3*j**3 + 2/9*j**5 + 0 = 0. Calculate j.
-2, 0, 1
Let u(k) be the second derivative of 2/35*k**5 + 0 + 4/7*k**2 + 12*k - 5/21*k**4 + 2/21*k**3. Determine h, given that u(h) = 0.
-1/2, 1, 2
Let f(r) be the third derivative of 0 - 40*r**2 + 0*r**3 - 3/5*r**5 - 3/35*r**7 + 0*r - 1/112*r**8 - 1/2*r**4 - 13/40*r**6. Factor f(x).
-3*x*(x + 1)**2*(x + 2)**2
Let g(w) be the third derivative of -3/40*w**6 - 1/8*w**4 - 13*w**2 - 1/70*w**7 + 0*w**3 + 0 - 3/20*w**5 + 0*w. Find u, given that g(u) = 0.
-1, 0
Let z(l) be the second derivative of 2*l**6/15 + l**5/5 - 10*l**4/3 + 16*l**3/3 + 314*l. Factor z(v).
4*v*(v - 2)*(v - 1)*(v + 4)
Let i(s) be the third derivative of 1/75*s**5 + 33*s**2 + 1/24*s**4 + 0*s**3 + 0 - 1/600*s**6 + 0*s. Solve i(w) = 0 for w.
-1, 0, 5
Let t(y) be the first derivative of -2*y**6/3 + 4*y**5/5 + 6*y**4 - 56*y**3/3 + 22*y**2 - 12*y + 90. Factor t(f).
-4*(f - 1)**4*(f + 3)
Let u(r) = -4*r**3 - 7*r**2 + 16*r. Let i(b) = -28 - 48*b + 12*b**3 + 20*b**2 + 28. Let w(y) = -5*i(y) - 16*u(y). Factor w(k).
4*k*(k - 1)*(k + 4)
Suppose -2*v + 3 = 7. Let l be (-18)/45*3/v. Let l*j**4 - 3/5*j + 0 - 3/5*j**2 + 3/5*j**3 = 0. Calculate j.
-1, 0, 1
Let r = 322 + -316. Let x(q) be the third derivative of 1/175*q**7 + 0*q**3 + 0*q - 1/60*q**5 - 1/600*q**r + 1/60*q**4 + 0 - 5*q**2. Let x(y) = 0. Calculate y.
-1, 0, 1/2, 2/3
Let z(d) be the second derivative of -7/27*d**3 + 1/18*d**4 + 4*d + 0 + 2/9*d**2. Factor z(k).
2*(k - 2)*(3*k - 1)/9
Suppose -3/5*i**4 + 36/5 + 3/5*i**3 - 15*i + 39/5*i**2 = 0. Calculate i.
-4, 1, 3
Let o = -16029 + 16033. Suppose -2*n - 3*w = -3, -7 - 1 = -3*n - w. Determine a so that -1/4*a**n + 0*a**2 + 0 + 0*a + 1/4*a**o = 0.
0, 1
Suppose 2*s + 1 = 5*b - 4, -5*s + 34 = 3*b. Let m(p) be the second derivative of 0 + 11/6*p**b - p**2 - 9/20*p**5 - 3*p - p**4. Find f such that m(f) = 0.
-2, 1/3
Determine h, given that -32*h + 6 + 128/3*h**2 = 0.
3/8
Let q(f) be the first derivative of -f**4/4 + 2*f**3/3 + f**2/2 - 9*f + 10. Let u(h) = -h**3 + 2*h**2 + h - 8. Let g(w) = 6*q(w) - 7*u(w). Factor g(v).
(v - 2)*(v - 1)*(v + 1)
Let r(x) be the first derivative of x**4/14 + 8*x**3/21 + 4*x**2/7 - 114. Factor r(w).
2*w*(w + 2)**2/7
Let d(y) = 2*y**2 + 94*y - 1152. Let v(z) = -4*z**2 - 93*z + 1152. Let c(w) = 3*d(w) + 2*v(w). Factor c(n).
-2*(n - 24)**2
Let n(v) be the first derivative of v**8/336 + v**7/105 + v**6/120 + 7*v**2/2 - 14. Let a(c) be the second derivative of n(c). Factor a(u).
u**3*(u + 1)**2
Find d, given that 16521*d**2 + 34 + 10 - 16517*d**2 - 48*d = 0.
1, 11
Let c(m) = 40*m - 1636. Let z be c(41). Factor 0 - 6/5*o**3 + 8/5*o + 2/5*o**z + 0*o**2.
2*o*(o - 2)**2*(o + 1)/5
Let h(j) = 25*j**2 + 4*j - 5. Let g(d) = 13*d**2 + 2*d - 3. Let s be (-24)/(-36) + 2*20/(-6). Let m(x) = s*h(x) + 10*g(x). Factor m(o).
-4*o*(5*o + 1)
Factor 57*a - 16*a - 26*a - 5*a**2 + 20 + 0*a**2.
-5*(a - 4)*(a + 1)
Factor 40*m**3 - 87880 - 48*m**3 - 390*m**2 + 10140*m + 13*m**3.
5*(m - 26)**3
Suppose -6*p + 3*p = 3*p. Let l(r) be the second derivative of -1/2*r**3 - 1/2*r**4 + 1/5*r**6 + p*r**5 + 0*r**2 + 0 + 4*r + 1/14*r**7. Factor l(b).
3*b*(b - 1)*(b + 1)**3
Let k(s) be the third derivative of s**8/1176 + s**7/245 + s**6/420 - s**5/70 - s**4/42 - 144*s**2. Suppose k(h) = 0. Calculate h.
-2, -1, 0, 1
Let f(u) be the first derivative of 4*u**3/3 + 24*u**2 + 80*u + 97. Factor f(c).
4*(c + 2)*(c + 10)
Let r be ((-600)/(-140) - 7) + 3 + 0. Factor r - 10/7*i + 8/7*i**2.
2*(i - 1)*(4*i - 1)/7
Let b(a) = -7*a**5 - 9*a**4 - 29*a**3 - 45*a*