/3*n**3 = 0.
-1, 1, 2
Let q(y) = 4*y - 8. Let n be q(3). Let 28 + 28 + u**n - 2*u**2 - 55 = 0. Calculate u.
-1, 1
Let r(l) = -2*l + l + 2*l + l**2 - 5*l + 3. Let t be r(6). Determine c so that 12*c + 9*c + 19*c**3 - 1 - t*c**5 - 25*c**3 - 33*c**4 + 30*c**2 + 4 = 0.
-1, -1/5, 1
Let a be 2 + -1*(-9)/((-81)/(-21)). Let 7/6*o**2 + a*o - 4/3 = 0. Calculate o.
-4, 2/7
Let p(x) = x. Let l(y) = y**2 - 8*y - 22. Let t(i) = l(i) + 3*p(i). Let d be t(8). Factor -1/5*h**d - 1/5 - 2/5*h.
-(h + 1)**2/5
Let o be 2/(-1*2/4). Let g be 0 + ((-8)/1)/o. Factor 5*i**2 - 6*i**4 + 20*i**3 - 2 - 8*i**4 + 10*i + g*i**5 + 4*i**4 - 25*i**2.
2*(i - 1)**5
Let l(c) be the second derivative of -c**9/1680 - c**8/1120 + c**7/280 + c**6/120 + 3*c**4/4 - c. Let h(p) be the third derivative of l(p). Factor h(v).
-3*v*(v - 1)*(v + 1)*(3*v + 2)
Let w = -1689 - -1691. Determine c so that 0*c**w + 0 + 0*c + 2/3*c**4 - 2/9*c**3 - 4/9*c**5 = 0.
0, 1/2, 1
Find g such that -25*g**3 - 260*g**2 - 100*g + 33906 - 33906 = 0.
-10, -2/5, 0
Let p = 12 - 8. Solve -a**4 - 6*a**4 + 6*a**p + a**2 = 0 for a.
-1, 0, 1
Let x(p) = -p + 13. Let q be x(19). Let n be 36/(-54) + (-22)/q. Factor 5*j**n - 2*j - 7*j + 8*j - 4*j**3.
j*(j - 1)*(j + 1)
Let a(u) be the second derivative of 1/25*u**6 + 4*u - 1/10*u**4 + 0 + 21/100*u**5 + 0*u**2 - 1/10*u**7 + 0*u**3. What is c in a(c) = 0?
-1, 0, 2/7, 1
Let c(w) be the first derivative of w**5/2 - 17*w**4/8 - 13*w**3/2 - 7*w**2/4 + 5*w + 498. Factor c(u).
(u - 5)*(u + 1)**2*(5*u - 2)/2
Let y be ((-969)/54 + 18)/((-4)/(-18)). Factor -3/4*f + 5/2 - y*f**3 - 3/2*f**2.
-(f - 1)*(f + 2)*(f + 5)/4
Let r(b) be the second derivative of b**4/48 + b**3/6 + 3*b**2/8 - 58*b. Factor r(g).
(g + 1)*(g + 3)/4
Solve -40*q - 410 - 339 + 4*q**2 + 849 = 0.
5
Let d(p) be the third derivative of p**7/42 + 7*p**6/24 - 3*p**5/4 - 35*p**4/24 + 20*p**3/3 + 41*p**2. Factor d(j).
5*(j - 1)**2*(j + 1)*(j + 8)
Let r(i) be the first derivative of 2*i**6/3 - 2*i**4 + 2*i**2 + 173. Factor r(l).
4*l*(l - 1)**2*(l + 1)**2
Let n = 15 + -12. Let o be 3 - n/6*2. Determine s, given that 15*s**3 + 3*s**4 + 0*s**4 + 27*s**2 + o*s + 19*s + 6 = 0.
-2, -1
Let l(m) = 5 + 29*m**4 - 33*m**4 - 3 + 5 - 2*m**2 + 13*m**3. Let d(a) = -a**4 + 4*a**3 - a**2 + 2. Let k(x) = 21*d(x) - 6*l(x). Solve k(c) = 0 for c.
-3, 0, 1
Let o(g) be the third derivative of -g**6/72 + 7*g**5/9 + 155*g**4/72 - 145*g**3/9 - 22*g**2 - 1. Determine b, given that o(b) = 0.
-2, 1, 29
Let r(o) be the third derivative of o**6/480 - o**5/30 + o**4/6 - 2*o**2 - 11. Factor r(z).
z*(z - 4)**2/4
Find r such that 5*r**2 + 8611*r - 8616*r - 10 + 0*r**2 = 0.
-1, 2
Let b(z) be the third derivative of 4/3*z**3 - 1/60*z**5 + 0*z + 0 + 15*z**2 + 7/24*z**4. Let b(x) = 0. What is x?
-1, 8
Let 1/5*o**5 + 0 + 49/5*o**2 + 7*o**3 + 0*o - 13/5*o**4 = 0. What is o?
-1, 0, 7
Let q(x) = x**3 - 20*x**2 + 134*x - 196. Let w(j) = 5*j**3 - 99*j**2 + 667*j - 978. Let t(s) = 11*q(s) - 2*w(s). Find o such that t(o) = 0.
2, 10
Let a(o) be the third derivative of 8/3*o**3 - 6*o**2 + 1/30*o**6 - 1/15*o**5 + 0*o + 0 - 2/3*o**4. Determine n so that a(n) = 0.
-2, 1, 2
Let u(y) be the first derivative of -2/27*y**3 - 7 + 0*y + 0*y**2 - 1/18*y**4. Let u(w) = 0. Calculate w.
-1, 0
What is m in -4*m + 251*m**3 + 250*m**3 - 18*m**2 + 2*m**4 + 16 - 497*m**3 = 0?
-4, -1, 1, 2
Let q(a) be the first derivative of a**6/480 + a**5/32 - 3*a**4/16 + 20*a**3/3 + 26. Let p(g) be the third derivative of q(g). Factor p(f).
3*(f - 1)*(f + 6)/4
Let j(v) = -v**3 + 10*v**2 - 7*v - 8. Let t be j(9). Find k such that 24*k**4 + 42*k**2 + 28*k**3 + 4*k**5 + 17*k**3 - t*k**2 + 3*k**3 = 0.
-2, 0
Find s such that -272/5*s**3 - 4/5*s**5 + 136/5 + 276/5*s + 8/5*s**2 - 144/5*s**4 = 0.
-34, -1, 1
Let o = 2925 + -122849/42. Let w(p) be the second derivative of -1/21*p**3 - 9*p + 1/70*p**5 + 0*p**2 - 1/105*p**6 + 0 + o*p**4. Factor w(v).
-2*v*(v - 1)**2*(v + 1)/7
Factor 0 - 2/9*y**2 - 80/9*y.
-2*y*(y + 40)/9
Let y(l) be the third derivative of -5*l**8/2184 + 22*l**7/1365 - 2*l**6/195 + 2*l**2 - 89. Factor y(i).
-2*i**3*(i - 4)*(5*i - 2)/13
Let q(d) = -1 - 7*d + d + 3*d. Let p be q(-3). Factor m**2 + 1 + p*m - 2*m**2 - 12 - 5.
-(m - 4)**2
Suppose 2*r + 2*q + 906 = 6*r, -3*r + 672 = q. Let p = 225 - r. Factor -a**2 + p + 2/7*a.
-a*(7*a - 2)/7
Let w(l) be the second derivative of -1/10*l**3 + 1/10*l**4 - 3/100*l**5 - 6*l + 0*l**2 + 0. Factor w(y).
-3*y*(y - 1)**2/5
Suppose -6*z - 8 = -26. Factor 8*c - 17*c**3 + 12*c**2 + 40*c**3 - 19*c**z.
4*c*(c + 1)*(c + 2)
Suppose -4*v = 5*c, c + 2*c = 5*v. Suppose c = 4*o + 9 - 29. Factor o*x**2 - 3*x - x**2 + 8 - 9*x.
4*(x - 2)*(x - 1)
Suppose 0 = 5*s + 5, s + 16 = 3*q + 2*q. Factor 8 + g**2 + 4 - 10 - q*g.
(g - 2)*(g - 1)
Let n(p) be the third derivative of -p**7/1155 + p**6/12 - 323*p**5/110 + 4693*p**4/132 + 13718*p**3/33 + 90*p**2 + p. Suppose n(w) = 0. Calculate w.
-2, 19
Suppose 4*t = -2*m + 12, 2*m - 3*t = -4*t + 21. Let q = m - 58/5. Factor 1/5*v**2 - q*v + 1/5.
(v - 1)**2/5
Let -14/13*t**3 + 12/13*t**2 + 0*t + 2/13*t**4 + 0 = 0. What is t?
0, 1, 6
Let r(k) = 9*k + 4 - 2 + 2*k**2 - 6 + 11. Let w be r(-1). Factor 2*d**3 + 8/3*d**5 + w + 0*d + 26/3*d**4 + 0*d**2.
2*d**3*(d + 3)*(4*d + 1)/3
Let q(o) be the third derivative of o**7/420 - o**6/630 - o**5/60 + o**4/42 - 2*o**3 + 27*o**2. Let t(w) be the first derivative of q(w). Factor t(p).
2*(p - 1)*(p + 1)*(7*p - 2)/7
Let r(u) be the second derivative of -u**6/33 - 9*u**5/55 + 34*u**4/33 - 8*u**3/11 - 172*u. Solve r(f) = 0 for f.
-6, 0, 2/5, 2
Let t(l) = l**5 + l**4 + l**3 + 1. Let n be (-25)/(-10) - 3/(-6). Let f(h) = 6*h**5 - 10*h**4 + 11*h**3 - 2*h**2 + 2. Let o(q) = n*f(q) - 6*t(q). Factor o(j).
3*j**2*(j - 2)*(2*j - 1)**2
Let n(p) be the third derivative of p**7/42 - 5*p**6/8 + 4*p**5 + 40*p**4/3 + 377*p**2. Suppose n(f) = 0. Calculate f.
-1, 0, 8
Let v(p) be the second derivative of 2*p**6/75 - 9*p**5/25 - p**4/15 + 6*p**3/5 - p + 4. Factor v(s).
4*s*(s - 9)*(s - 1)*(s + 1)/5
Let a(w) = -376*w**3 + w**2 + w. Let o be a(-1). Let z be o/(-132) + 4 + (-6)/(-33). Factor 0 + z*r - 2/3*r**2.
-2*r*(r - 2)/3
Let c be 855/2527 - 3/57. Determine q so that -2/7*q**4 + 0 - c*q**3 + 2/7*q**2 + 2/7*q = 0.
-1, 0, 1
Suppose 0 = -3*w + 2*y + 198, -15*w = -16*w + 5*y + 66. Find t, given that 26 - 68 + 69*t + 15*t**3 - w*t**2 + 24 = 0.
2/5, 1, 3
Let v(u) = u + 10. Let k be v(-9). Let r be (0 - 1) + 3/k. Factor -12*y - 20 + r + y**2 - 3*y**2.
-2*(y + 3)**2
Let q(g) be the first derivative of 0*g + 0*g**4 + 3 - 1/60*g**5 - 1/72*g**6 + 0*g**2 - 3*g**3. Let t(b) be the third derivative of q(b). Factor t(u).
-u*(5*u + 2)
Let w(k) = -5*k**4 - 32*k**3 - 179*k**2 - 387*k - 291. Let l(b) = -19*b**4 - 128*b**3 - 715*b**2 - 1547*b - 1163. Let s(g) = -6*l(g) + 22*w(g). Factor s(j).
4*(j + 2)**2*(j + 6)**2
Suppose 0 + 3/7*y**3 + 1/7*y + 1/7*y**4 + 3/7*y**2 = 0. What is y?
-1, 0
Suppose 4*m = -0*m. Suppose -16 + 21 = 5*v + d, -v - 5*d = 23. Suppose m*w + 2/3 - 2/3*w**v = 0. Calculate w.
-1, 1
Let y(c) be the second derivative of -c**5/20 + 2*c**4/3 - 7*c**3/2 + 9*c**2 + 190*c. Factor y(s).
-(s - 3)**2*(s - 2)
Let w(l) be the second derivative of -1/4*l**4 + 0 - 7/20*l**5 + 5/42*l**7 + 1/10*l**6 + 26*l + 0*l**2 + 1/3*l**3. Suppose w(p) = 0. Calculate p.
-1, 0, 2/5, 1
Let v = 6600 - 33543/5. Let x = v + 109. Factor 2/5*z**3 + x*z + 0 + 4/5*z**2.
2*z*(z + 1)**2/5
Suppose -3*g + 0*k - 4 = 4*k, 4*g - k - 20 = 0. Determine x, given that -9*x + 12 + 13*x - 9*x - g*x**2 - 3*x = 0.
-3, 1
Find a, given that -17/8*a + 1/8*a**2 + 15/4 = 0.
2, 15
Let t = -4502 + 4504. Find g such that 2/3*g**t - 4/3*g + 2/3 = 0.
1
Factor 52/3*l + 28/3*l**3 - 20*l**2 - 4/3*l**4 - 16/3.
-4*(l - 4)*(l - 1)**3/3
Let z = 42 + -40. Factor w**3 + 6*w + 103*w**z + w - 3 - 108*w**2.
(w - 3)*(w - 1)**2
Suppose 22*f = 19*f + 2*c - 1, 3*c - 6 = 3*f. Let r(n) be the second derivative of 0 + 6*n - 1/30*n**f + 0*n**2 + 1/60*n**4. Determine t so that r(t) = 0.
0, 1
Let v be -6*(16/(-15))/((-14)/(-35)). Factor 5*h**2 + 13*h + v*h - 14*h - 25 + 5*h.
5*(h - 1)*(h + 5)
Let l(p) = p**5 + p**4 + 2*p + 1. Let t(b) = -10*b**5 - 10*b**4 + 5*b**3 + 5*b**2 - 10*b - 5. Let r(y) = 5*l(y) + t(y). Factor r(z).
-5*z**2*(z - 1)*(z + 1)**2
Suppose 0 = -3*b + 58 - 52. Factor 20 - 22*k - k + 5*k**2 - b*k.
