w in 6/7*w**2 + 2/7*w**a + 8/7*w - 8/7 - 8/7*w**3 = 0?
-1, 1, 2
Let v(w) be the third derivative of 16*w**3 + 5/168*w**8 - 2*w**2 + 36*w + 0 + 0*w**6 - 52/15*w**5 + 23/105*w**7 - 20/3*w**4. Solve v(k) = 0.
-3, -2, 2/5, 2
Let x(b) = -88*b**2 + 556*b - 106. Let n(g) = 13*g**2 - 79*g + 15. Let p(s) = -44*n(s) - 6*x(s). Solve p(k) = 0.
2/11, 3
Suppose 198*k - 189*k = 0. Suppose k = 3*n - g - 13, -4*g + 20 = -4*n + 48. Let l**n - 1/10*l**5 - 2/5 + 3/2*l + 0*l**4 - 2*l**2 = 0. What is l?
-4, 1
Let i = -1329 - -1325. Let c be -5 - (i - (6 + -9) - 5). What is a in 3*a + a**5 + c + 9/4*a**4 - 5/2*a**3 - 19/4*a**2 = 0?
-2, -1/4, 1
Let w(n) = 3*n**2 + 14*n - 20. Let t be w(-6). Factor -t*x**3 - 22*x + 4324 - 102*x - 4264 + 68*x**2.
-4*(x - 15)*(x - 1)**2
Let x(q) be the third derivative of 41*q**2 + 1/672*q**8 - 1/240*q**6 + 0 + 0*q**4 - 1/105*q**7 + 0*q**3 + 1/30*q**5 + 0*q. Factor x(u).
u**2*(u - 4)*(u - 1)*(u + 1)/2
Suppose -70*f + 72*f = 9020. Let g be f/1815 - -2*(-2)/(-22). Factor 0 - g*o**2 + 1/3*o**5 - 4/3*o**3 + 0*o + 2/3*o**4.
o**2*(o - 2)*(o + 2)**2/3
Let a(h) = 5*h**4 - 2*h**3 + h**2 + h - 1. Let s(y) = -45*y**4 - 81*y**3 + 81*y**2 + 15*y + 6. Let c(l) = 6*a(l) + s(l). Factor c(q).
-3*q*(q - 1)*(q + 7)*(5*q + 1)
Let d(g) = -19*g**2 + 2*g - 2. Let r(s) = -134*s**2 + 1358*s - 451598. Let i(q) = -14*d(q) + 2*r(q). Factor i(o).
-2*(o - 672)**2
Let u(j) be the second derivative of j**4/18 + 952*j**3/9 + 226576*j**2/3 + 792*j - 3. Find r, given that u(r) = 0.
-476
Let r(f) = -f**2 + 3*f + 23. Let y be r(10). Let n = y + 71. Let 9 - n - 9*d + 3 + 3*d**2 = 0. Calculate d.
-1, 4
Let o(m) = -m + 12. Let g be o(7). Suppose -g*k - 2 = -6*k. Determine r so that 5*r + 9*r**2 + 10*r**4 - 25*r**3 - 2*r**k + 7 - 12 + 8*r**2 = 0.
-1/2, 1
Let b(t) be the third derivative of 2 + t**2 - 1/90*t**5 + 1/9*t**4 + 0*t - 4/9*t**3. Factor b(h).
-2*(h - 2)**2/3
Let z be (5 - 4)*(-35)/(-42)*(9 + (-324)/40). Solve -z + 1/2*q + 1/4*q**2 = 0.
-3, 1
Let g(z) be the third derivative of -z**7/1575 + z**6/90 + z**5/150 - 7*z**4/45 - 4*z**3/9 - 527*z**2 - 2*z - 1. What is i in g(i) = 0?
-1, 2, 10
Factor 17/4*q**2 - 1/4*q**5 - 5/4*q**4 + 2 - 1/4*q**3 + 11/2*q.
-(q - 2)*(q + 1)**3*(q + 4)/4
Let r(i) be the first derivative of -65/2*i**2 + 58 + 35*i + 5/4*i**4 + 25/3*i**3. Factor r(b).
5*(b - 1)**2*(b + 7)
Let x be ((-865)/40 - -5)*20/(-28). Let o(w) be the first derivative of -3*w + 48 - 46/3*w**3 + x*w**2 - w**4. Find h, given that o(h) = 0.
-12, 1/4
Let r(p) be the second derivative of -4*p**6/45 - 11*p**5/10 - 2*p**4/3 - 7*p**3/2 - 247*p. Let s(y) be the second derivative of r(y). Factor s(o).
-4*(o + 4)*(8*o + 1)
Let t = 6 + -3. Let h be (4 + 42/(-9))/(24/(-48)). Factor 7/6*i**t + 0 - 5*i**2 + h*i.
i*(i - 4)*(7*i - 2)/6
Find r, given that -23/2*r**2 + 23/2*r**4 + 25/2*r**3 - 12*r + 0 - 1/2*r**5 = 0.
-1, 0, 1, 24
Let o be 12 + ((-120)/(-4))/(-5) + 0. What is k in -14*k**4 - 3*k**3 + 8*k**2 + 6*k**5 + 2*k**5 - o*k**3 - 3*k**3 + 2*k**4 = 0?
-1, 0, 1/2, 2
Let f(q) be the third derivative of 90*q**2 + 0 + 5/6*q**4 + 1/3*q**5 + 0*q + 1/24*q**6 + 0*q**3. Let f(t) = 0. What is t?
-2, 0
Let h be (-78)/(-8) - (-214 + 222). Factor -1/4*s**2 + 2*s - h.
-(s - 7)*(s - 1)/4
Let w be 3344/(-342) - (-2)/(-9). Let n be (-64)/48*-2*w/(-16). Suppose -n*s**4 + 13/3*s**3 - 1/3*s - 3*s**2 + 2/3 = 0. Calculate s.
-2/5, 1
Let s(f) be the second derivative of 2*f**7/21 - 26*f**6/15 + 58*f**5/5 - 36*f**4 + 48*f**3 + 13*f + 10. Find z, given that s(z) = 0.
0, 2, 3, 6
Let w(o) = -o**2 + 7*o + 30. Let m be w(10). Factor -4*g**3 - g**2 + m*g**2 + 4*g**2 - 20*g + 21*g.
-g*(g - 1)*(4*g + 1)
Factor 6251*h + 278/3*h**2 - 26508 + 1/3*h**3.
(h - 4)*(h + 141)**2/3
Solve 59945*u**3 - 28887*u**3 - 174*u**4 + 8100*u - 27544*u**3 + 2*u**5 + 11790*u**2 = 0 for u.
-2, -1, 0, 45
Let z(s) be the second derivative of s**7/18 - 286*s**6/45 - 643*s**5/15 - 172*s**4/9 - 6875*s. Let z(q) = 0. What is q?
-4, -2/7, 0, 86
Let d be ((-4 - -1) + 44/14)/((-39)/(-78)). Factor 6/7*y + 8/7*y**2 + d*y**3 + 0.
2*y*(y + 1)*(y + 3)/7
Factor 2/7*s**4 + 2448/7*s**2 + 0 - 2312/7*s - 138/7*s**3.
2*s*(s - 34)**2*(s - 1)/7
Determine l so that -884*l - 17610*l**3 + 18198*l**3 - 569 + 4*l**5 - 7 + 416*l**2 + 292*l + 160*l**4 = 0.
-36, -2, -1, 1
Determine n so that 21*n**4 - 6*n**3 + 24*n - 2*n**3 + 7*n**3 - 11*n**2 + 10*n**3 - 43*n**2 = 0.
-2, 0, 4/7, 1
Factor 0 - 7/2*y**3 + 1/2*y**4 + 0*y - 22*y**2.
y**2*(y - 11)*(y + 4)/2
Let l(h) be the first derivative of -35*h**4/4 + 3*h**3 + 16*h**2 - 12*h + 2234. Solve l(m) = 0 for m.
-1, 2/5, 6/7
Let r(t) = -153*t**2 + 4439*t - 55. Let u be r(29). What is a in -8/5*a**2 + 0 - 2/5*a**u + 2*a = 0?
-5, 0, 1
Let f be 114/144 + (279/(-36) - -7). Let c(q) be the second derivative of -9*q + 0 + 0*q**2 - 1/3*q**3 + f*q**4. Solve c(p) = 0.
0, 4
Let k(y) be the second derivative of y**5/12 - 5*y**4/12 + 347*y. Suppose k(t) = 0. What is t?
0, 3
Suppose 224/5*p - 1/5*p**4 - 6*p**3 - 48/5*p**2 + 0 = 0. What is p?
-28, -4, 0, 2
Let t(h) = 9*h - 74. Let o be t(13). Let 27*x + 19*x - o*x - x**2 = 0. Calculate x.
0, 3
Let a be 25/5 + (-16)/((-7)/(-7)) - 366/(-18). Find q, given that -2/3*q**2 - a + 10*q = 0.
1, 14
Let w(a) be the third derivative of a**5/12 + 85*a**4/12 - 185*a**3/2 + 6*a**2 - 391*a. Factor w(n).
5*(n - 3)*(n + 37)
Let g(q) be the third derivative of q**8/1512 - q**7/945 - q**6/36 + q**5/30 + q**4/2 + q**2 + 247. Determine x so that g(x) = 0.
-3, -2, 0, 3
Let p(c) be the third derivative of -c**6/900 + c**5/18 - 28*c**4/45 - 196*c**3/15 + 766*c**2. Suppose p(d) = 0. What is d?
-3, 14
Let y(b) be the third derivative of 0 + 15/2*b**4 + 27/10*b**5 + 0*b - 5*b**2 + 25/3*b**3. Factor y(z).
2*(9*z + 5)**2
Let a(j) be the first derivative of -j**6/180 - j**5/30 - 64*j**3/3 + 19. Let r(v) be the third derivative of a(v). Factor r(o).
-2*o*(o + 2)
Let x(s) be the first derivative of s**8/672 - s**7/70 + s**6/60 + s**5/20 - 5*s**4/48 - 18*s**2 - 146. Let l(j) be the second derivative of x(j). Factor l(g).
g*(g - 5)*(g - 1)**2*(g + 1)/2
Let q(z) = 6*z + 99. Let v be q(-15). Let c be 6 - 1310/225 - (-2)/v. Factor -c + 8/15*t - 2/15*t**2.
-2*(t - 3)*(t - 1)/15
Let a(p) be the first derivative of 22/15*p**5 - p**4 + 2*p**2 + 62 - 22/9*p**3 + 0*p. Find m such that a(m) = 0.
-1, 0, 6/11, 1
Let c(a) be the third derivative of -a**6/300 - a**5/10 + 11*a**4/20 - 17*a**3/15 + a**2 + 18. Factor c(v).
-2*(v - 1)**2*(v + 17)/5
Let x = -134/109 - -511/327. Let k(h) be the first derivative of 5/6*h - 15 + x*h**2 - 1/18*h**3. Find o, given that k(o) = 0.
-1, 5
Let y(h) be the first derivative of -2*h**3/27 + 316*h**2/3 - 49928*h + 1043. Factor y(s).
-2*(s - 474)**2/9
Let q(r) = 3*r - 3. Let x(a) = 2*a**2 - 2. Let p = -32 - -29. Let g(h) = -h**2 + 1. Let u(s) = p*x(s) - 5*g(s). Let c(o) = q(o) + 3*u(o). Factor c(m).
-3*m*(m - 1)
Let c(w) = 8*w**3 + 44*w**2 + 30*w - 3600. Let h(b) = -22*b**3 - 132*b**2 - 90*b + 10800. Let i(y) = 14*c(y) + 5*h(y). Find z such that i(z) = 0.
-8, 15
Let w(o) be the second derivative of -o**6/40 + 3*o**5/10 + 2*o**4 - 116*o**2 + 14*o. Let v(l) be the first derivative of w(l). What is h in v(h) = 0?
-2, 0, 8
Let u(q) be the second derivative of -1/420*q**7 - 4 + 1/4*q**3 + 0*q**6 - 24*q + 1/6*q**4 + 1/20*q**5 + 1/5*q**2. Factor u(s).
-(s - 4)*(s + 1)**4/10
Let d(k) be the third derivative of -78*k**2 + 0*k + 13/9*k**4 + 1/90*k**5 + 0 + 676/9*k**3. Find h, given that d(h) = 0.
-26
Let f(p) be the first derivative of p**7/560 + p**6/80 + p**5/40 + 41*p**3/3 - p**2 + 57. Let i(g) be the third derivative of f(g). Factor i(l).
3*l*(l + 1)*(l + 2)/2
Let m(t) = -13*t - 47. Let c be m(-5). Suppose r - 3 = -2*z, 13*z = c*z + 2*r - 8. Factor -3/5*d**z - 4/5*d - 1/5.
-(d + 1)*(3*d + 1)/5
Factor -316/19 + 318/19*z - 2/19*z**2.
-2*(z - 158)*(z - 1)/19
Let 4/3*u**4 + 368*u**2 - 1108/3*u**3 + 0*u + 0 = 0. What is u?
0, 1, 276
Solve 4*j**4 + 108/5 + 118/5*j**3 + 288/5*j**2 + 1/5*j**5 + 297/5*j = 0 for j.
-12, -3, -1
Let y(o) = -o**3 + 2*o**2 - o + 1. Let r(a) = 4*a**3 - 13*a**2 - 5*a - 3. Let v(t) = -r(t) - 3*y(t). Factor v(q).
-q*(q - 8)*(q + 1)
Let d(x) be the third derivative of x**7/280 + 47*x**6/160 + 7*x**5/2 + 10*x**2 - x + 3. Factor d(r).
3*r**2*(r + 7)*(r + 40)/4
Let 2/9*i**2 + 12800/9 - 320/9*i = 0. What i