-63 - -68. Let p be (2/j)/(5/5). Let 1/5*g**3 + p*g**2 + 0 + 0*g = 0. Calculate g.
-2, 0
Let x(k) be the first derivative of -k**3/21 - 6*k**2/7 + 160. Factor x(u).
-u*(u + 12)/7
Let g(j) be the third derivative of -j**7/1470 - j**6/168 - j**5/140 + 5*j**4/168 + 2*j**3/21 + 2*j**2 + 64. Factor g(k).
-(k - 1)*(k + 1)**2*(k + 4)/7
Let a(k) be the third derivative of k**4/8 + 25*k**3/3 + 10*k**2. Let z be a(-16). Determine j, given that z*j - 4/3*j**2 - 2/3 = 0.
1/2, 1
Let v(d) be the second derivative of 0*d**6 + 0*d**2 + 0*d**4 + 0 + 0*d**3 - 1/60*d**5 - d + 1/126*d**7. Factor v(s).
s**3*(s - 1)*(s + 1)/3
Factor -17*x - 30 - 1/5*x**3 - 16/5*x**2.
-(x + 5)**2*(x + 6)/5
Let r(z) be the second derivative of 2*z**6/15 - z**5 - 2*z**4 + 64*z**3/3 + 64*z**2 + 104*z. Determine g, given that r(g) = 0.
-2, -1, 4
Let c(u) be the first derivative of -5*u**4/4 - 45*u**3 - 229. Factor c(d).
-5*d**2*(d + 27)
Let a be (5 + 5/(-1))/(-1). Let q(w) be the second derivative of 1/24*w**3 - 1/48*w**4 - 7*w + 0*w**2 + a. Factor q(j).
-j*(j - 1)/4
Let r(k) be the second derivative of -k**4/24 - 13*k**3 - 1521*k**2 - 470*k. Factor r(z).
-(z + 78)**2/2
Suppose 3*n**3 + 3 + 23/2*n + 25/2*n**2 = 0. Calculate n.
-3, -2/3, -1/2
Let r be -2*1 - 30/(-6). Solve -7*h + r*h + 9*h - h**2 = 0.
0, 5
Let z be 2/42*(-133)/(-57). Let n(t) be the first derivative of 0*t + 2/27*t**3 + z*t**2 - 3. Factor n(u).
2*u*(u + 1)/9
Let i = -19 - -21. Let 2*g**4 + 6 + g + 3*g**2 - 10 - 5*g + i*g**3 - 3*g**4 = 0. Calculate g.
-1, 2
Let x(q) = 2523*q + 5047. Let z be x(-2). Factor v + z + 1/4*v**2.
(v + 2)**2/4
Let c(j) = -j**2 - 63*j - 882. Let n be c(-42). Let g be ((-4)/(-10))/(6/10). Suppose n*k**3 + 4/3*k**2 - 2/3*k**4 + 0*k - g = 0. What is k?
-1, 1
Let q(i) be the first derivative of -i**3/15 + 73*i**2/10 - 72*i/5 + 376. Determine n, given that q(n) = 0.
1, 72
Factor 29552672/9*p + 2/9*p**5 + 1906624/9*p**2 + 496/9*p**4 + 15376/3*p**3 + 0.
2*p*(p + 62)**4/9
Let u(k) be the third derivative of -k**5/12 - 5*k**4/24 + 10*k**3 - k**2 - 26. Solve u(c) = 0.
-4, 3
Let k(p) = -2*p - 18. Let b be k(-13). Factor b*a**3 - 6*a + 8 - 4*a**4 - a + 4*a**3 - 4*a**2 - 5*a.
-4*(a - 2)*(a - 1)**2*(a + 1)
Let v(z) be the second derivative of -z**7/12600 - z**6/1800 + z**4/2 + 10*z. Let n(o) be the third derivative of v(o). Find q, given that n(q) = 0.
-2, 0
Let a(j) = j + 5. Let h = -7 + 4. Let c be a(h). Solve -5*w**3 + 2 - 3*w - c*w**2 + 4*w**3 + 2*w + 2*w**3 = 0.
-1, 1, 2
Suppose 5*x = -20, -r + x = -2*x - 14. Let s(n) be the second derivative of -1/4*n**4 + 2*n + 0*n**r + 1/2*n**3 + 0. Factor s(c).
-3*c*(c - 1)
Determine u so that -45*u**2 + 17*u**3 + 4*u**3 + 182 - 12*u**2 + 24*u - 170 = 0.
-2/7, 1, 2
Let h(y) be the third derivative of -y**7/945 + y**6/270 + 59*y**5/270 - 5*y**4/9 - 100*y**3/3 - 200*y**2 + 1. Determine k, given that h(k) = 0.
-5, 6
Factor 16/5 - 4/5*a - 2/5*a**2.
-2*(a - 2)*(a + 4)/5
Suppose -21 + 64 = 5*s + k, -2*k - 18 = -3*s. Let -43 + s + 16 + 15 + 22*j**2 + 18*j = 0. What is j?
-1, 2/11
Suppose 0*x = 4*x - 5*i - 9, -x + 2*i + 6 = 0. Let s be ((-6)/(-4))/((-2)/x). Factor -25/4*q**4 + 4*q**2 + 0 + 5/4*q**s + q.
-q*(q - 1)*(5*q + 2)**2/4
Let j(a) be the third derivative of a**7/504 - a**4/12 + 11*a**2. Let u(m) be the second derivative of j(m). Factor u(s).
5*s**2
Determine k, given that 63*k**3 + 45/2*k - 66*k**2 - 3/2*k**5 + 0 - 18*k**4 = 0.
-15, 0, 1
Suppose s - 16 = 2*n, n + 13 = 4*s - 16. Let y be -2 + (-5)/(-2) + 9/s. Factor 2/7*p**3 + 8/7 - 6/7*p**y + 0*p.
2*(p - 2)**2*(p + 1)/7
Let t(f) be the third derivative of f**8/2352 + 3*f**7/490 + f**6/120 - 3*f**5/140 - f**4/21 - 466*f**2. Solve t(a) = 0 for a.
-8, -1, 0, 1
Suppose -3*b = -0*b - 6. Suppose -b = c - 5. Factor 21*w**3 + w**2 - 3*w**2 - 3*w - c*w - 13*w**2.
3*w*(w - 1)*(7*w + 2)
Let u(k) be the first derivative of 0*k + 0*k**4 - 1/180*k**5 + 1 + 0*k**3 + 3*k**2. Let i(q) be the second derivative of u(q). Factor i(x).
-x**2/3
Let z(p) be the third derivative of p**7/4620 - p**6/396 + 2*p**5/165 - p**4/33 - 5*p**3/2 - 10*p**2. Let n(q) be the first derivative of z(q). Factor n(k).
2*(k - 2)**2*(k - 1)/11
What is g in g**3 + 6*g + 44*g**2 - 2*g**3 - 25*g - 64*g**2 = 0?
-19, -1, 0
Let y(o) be the third derivative of 9*o**7/10 - 27*o**6/40 - 43*o**5/20 + 3*o**4/8 + 2*o**3 - 103*o**2. Solve y(x) = 0 for x.
-4/7, -1/3, 1/3, 1
Let h(q) be the first derivative of -4/11*q + 1/22*q**4 + 2/11*q**3 + 28 - 2/55*q**5 - 1/11*q**2. Let h(i) = 0. Calculate i.
-1, 1, 2
Let x(g) = 5*g**3 - 10*g**2 + 4*g. Suppose 0 = -5*f - 208 - 17. Let a(l) = 55*l**3 - 110*l**2 + 45*l. Let q(d) = f*x(d) + 4*a(d). Factor q(p).
-5*p**2*(p - 2)
Let p be 48/270 - (-4)/18. Factor -1/5*l**3 + 1/5*l + p - 2/5*l**2.
-(l - 1)*(l + 1)*(l + 2)/5
Let x(o) = -o**2 - 3*o + 15. Let k be x(0). Solve -k - 15 - 15*b**2 + 24 - 21*b = 0.
-1, -2/5
Let n(g) be the third derivative of 0*g**5 + 1/72*g**4 + 0*g - 1/1080*g**6 - g**2 + 0 + 5/6*g**3. Let v(m) be the first derivative of n(m). Solve v(z) = 0.
-1, 1
Let s = -10 + 12. Suppose 4 - 2*q**2 + q**s + 0 = 0. Calculate q.
-2, 2
Let c(o) be the third derivative of o**7/1260 - o**6/450 + o**5/900 + 19*o**3/6 - 20*o**2. Let d(r) be the first derivative of c(r). Find v such that d(v) = 0.
0, 1/5, 1
Let h = -9 + 39. Find s, given that 19 + 6*s**2 + 14*s + h - 5*s**2 = 0.
-7
Let s(w) be the third derivative of w**6/30 - w**5/15 + 12*w**2 + 2. Factor s(b).
4*b**2*(b - 1)
Let f(u) be the first derivative of -1/20*u**5 + 3/16*u**4 + 1/2*u - 3/8*u**2 - 1/12*u**3 - 3. Find r, given that f(r) = 0.
-1, 1, 2
Let q(c) = 107*c + 323. Let t be q(-3). Factor 4/9 - 2/9*i - 2/3*i**t.
-2*(i + 1)*(3*i - 2)/9
Let b be 20/(-16)*(-14 + 2). Suppose 5*l**2 - l**2 - b*l**3 + 6*l**2 + 5*l**4 = 0. Calculate l.
0, 1, 2
Suppose 0 = 50*l + 498 - 648. Suppose 18*k**2 - 15/2*k**3 - l*k**4 - 3/2*k - 6 = 0. Calculate k.
-4, -1/2, 1
Factor 48*l**2 + 82*l + 2*l**4 + 78*l + 22*l**3 - 160*l.
2*l**2*(l + 3)*(l + 8)
Let -2*a**3 + 4*a**4 + 18*a**3 - a**4 + 2*a**3 + 138*a - 57*a**2 - 210*a = 0. What is a?
-8, -1, 0, 3
Find b such that 548/7*b - 544/7 - 4/7*b**2 = 0.
1, 136
Let w be 130/(-132) + (-9 - (2 + -12)). Let z(s) be the second derivative of -3/11*s**2 + 2/33*s**3 + w*s**4 - 3*s + 0. Solve z(d) = 0 for d.
-3, 1
Let l(t) = -3*t + 124. Let p be l(40). Solve -8*m**2 - 4/3*m**3 + 8/3*m**p + 6*m + 2/3*m**5 + 0 = 0 for m.
-3, 0, 1
Let o(k) be the first derivative of k**4/8 + 11*k**3/6 - 25*k**2/4 + 13*k/2 - 579. Factor o(y).
(y - 1)**2*(y + 13)/2
Let h(g) be the first derivative of 11/9*g**3 + 2 + 2/3*g**2 - 1/2*g**4 - 3/5*g**5 - 4/3*g. Factor h(t).
-(t + 1)**2*(3*t - 2)**2/3
Let s(a) be the second derivative of 2/27*a**4 + 0*a**2 - 2*a + 1/90*a**5 + 1/9*a**3 + 0. Determine c so that s(c) = 0.
-3, -1, 0
Suppose -12 - 12 = -12*i. Factor -3*y**2 + 2*y**2 + y**3 - 7*y**i + 4*y**4 - 5*y**3.
4*y**2*(y - 2)*(y + 1)
Let q be (-42)/(-22) - (-5)/55. Factor 2/3*m**q - 7/3*m + 4/3 + 1/3*m**3.
(m - 1)**2*(m + 4)/3
Let o(a) be the second derivative of -a**4/12 + 16*a**3/3 - 128*a**2 + 12*a + 6. Solve o(k) = 0.
16
Let b(n) = -n**2 + 31*n - 48. Let l be b(29). Factor 9*a - l + a**2 + 10 - 3*a.
a*(a + 6)
Let b(c) be the first derivative of 1/48*c**6 + 1/10*c**5 - 3 + 0*c + 0*c**3 + 0*c**2 + 3/32*c**4. What is i in b(i) = 0?
-3, -1, 0
Let n(p) be the third derivative of -p**10/90720 - p**9/18144 - p**8/12096 + 11*p**5/60 - 19*p**2. Let c(r) be the third derivative of n(r). Solve c(d) = 0.
-1, 0
Let l(y) = y - 2. Let c(j) = -4*j**2 - 16*j + 12. Let h(n) = c(n) + 8*l(n). Let h(o) = 0. Calculate o.
-1
Let j(k) = 11*k**4 - 7*k**3 + 11*k**2 - 5*k. Let b(n) = -5*n**4 + 4*n**3 - 5*n**2 + 2*n. Let q(y) = -5*b(y) - 2*j(y). Let q(v) = 0. Calculate v.
0, 1
Suppose 2*t - 5*s + 151 = t, 2*t + 2*s = -302. Let z = t + 759/5. Suppose 2/5*w**5 + 14/5*w**2 + z*w + 2*w**4 + 18/5*w**3 + 0 = 0. What is w?
-2, -1, 0
Let d(g) be the first derivative of -1/2*g**2 + 0*g + 8 + 1/3*g**3. Determine k so that d(k) = 0.
0, 1
Let u(s) be the first derivative of 0*s**2 - 13 + 2/39*s**3 + 0*s. Determine v, given that u(v) = 0.
0
Let s(p) be the third derivative of p**8/560 + 3*p**7/175 + p**6/50 - 3*p**5/50 - p**4/8 - 33*p**2. Find t, given that s(t) = 0.
-5, -1, 0, 1
Let j = -38856189 - -49774783895/1281. Let y = j 