derivative of -g**6/1620 + g**5/540 + g**4/54 + g**3 + 6. Let n(a) be the third derivative of i(a). Let n(m) = 0. What is m?
-1, 2
Let t(q) be the first derivative of -q**4/16 + q**3/8 + 2*q - 3. Let n(h) be the first derivative of t(h). Find w, given that n(w) = 0.
0, 1
Factor 2/7*f + 2/7*f**2 + 0.
2*f*(f + 1)/7
Let f be (-130)/64 - 6/(-3). Let p = f + 9/32. Factor 1/2 - p*y**2 - 1/4*y.
-(y - 1)*(y + 2)/4
Suppose -24*o + 41 = -7. Let d be 1/(-15) + 2/5. Find u such that 2/3 - 1/3*u**o - d*u = 0.
-2, 1
Let i(j) be the second derivative of j**7/147 + 4*j**6/105 + 3*j**5/35 + 2*j**4/21 + j**3/21 + 4*j. Factor i(u).
2*u*(u + 1)**4/7
Suppose -2*d + 13 = q + 2*q, q + 2*d = 3. Suppose -1 = -3*s + 2*s, -5*s - 10 = -q*u. Let 0*k**u + 1/2*k**5 - 1/2*k**4 + 0*k + 0 + 0*k**2 = 0. What is k?
0, 1
Let p = -187 + 188. Solve -1/2*d**3 + 1/2*d + p - d**2 = 0 for d.
-2, -1, 1
Let y(n) = -3*n. Let z be y(2). Let t be 2/(-3) + (-4)/z. Determine s, given that t*s + 0*s**2 + 2*s + s**2 + 1 = 0.
-1
Let v(j) be the third derivative of j**7/1155 - j**6/660 - j**5/66 - j**4/44 + 11*j**2. Suppose v(i) = 0. Calculate i.
-1, 0, 3
Factor 1/5*z**3 + 7/5*z**2 - 16/5 + 8/5*z.
(z - 1)*(z + 4)**2/5
Let n be (-8)/28 + (-60)/(-14). Suppose -2*u - 2 = -n*u. Let k**2 - k**2 - u + 2*k - k**2 = 0. What is k?
1
Let b = -9 + 11. Factor -2 + b*r**3 - 10*r + 8*r + 2.
2*r*(r - 1)*(r + 1)
Let g(k) = k**2 + 16*k + 4. Let t be g(-16). Factor 0*a**t + 5*a - a**3 + a - a**4 + a**2 - 5*a.
-a*(a - 1)*(a + 1)**2
Suppose 13*l - 12 - 40 = 0. Factor 0 + 3/2*t**2 + 1/2*t - 1/2*t**3 - 3/2*t**l.
-t*(t - 1)*(t + 1)*(3*t + 1)/2
Let k(f) be the first derivative of 2*f**5/35 - f**4/14 - 2*f**3/21 + f**2/7 + 10. Factor k(i).
2*i*(i - 1)**2*(i + 1)/7
Factor 0 + 4/5*d**3 + 0*d - 2/5*d**4 + 0*d**2.
-2*d**3*(d - 2)/5
Suppose 4*m + 4*h - h = -28, -2*m + 4*h + 8 = 0. Let k = -2 - m. Factor 1/4*v**3 - k - 3/2*v**2 + 3*v.
(v - 2)**3/4
Let f(i) be the second derivative of -i**9/10584 + i**7/1470 - i**5/420 + i**3/6 + 3*i. Let v(q) be the second derivative of f(q). Let v(x) = 0. Calculate x.
-1, 0, 1
Factor 0 + 3/4*n + 0*n**2 - 3/4*n**3.
-3*n*(n - 1)*(n + 1)/4
Factor -14*n**2 + 0*n - 3*n + 0*n - 2*n**4 - 10*n**3 - 3*n.
-2*n*(n + 1)**2*(n + 3)
Let t be (12/(-9))/(6/(-9)). Let -x**2 - 3*x**t + 2*x**2 = 0. What is x?
0
Let r(i) = -3*i**2 - 8*i - 6. Let c(t) = 3*t**2 + 8*t + 7. Let w(d) = -5*d + 2. Let m be w(2). Let l = m + 4. Let p(n) = l*c(n) - 6*r(n). Factor p(a).
2*(a + 2)*(3*a + 2)
Let l(n) be the third derivative of n**6/40 + n**5/20 - 21*n**2. Factor l(p).
3*p**2*(p + 1)
Let x(u) = -u**3 + 14*u**2 + 17*u - 27. Let j be x(15). Factor -3*s**j + 3/2*s + 0*s**4 + 0 + 0*s**2 + 3/2*s**5.
3*s*(s - 1)**2*(s + 1)**2/2
Let o(f) be the first derivative of f**4/10 - 16*f**3/15 + 4*f**2 - 32*f/5 + 42. Factor o(m).
2*(m - 4)*(m - 2)**2/5
Find t such that -4/5*t - 4/5*t**2 + 8/5 = 0.
-2, 1
Let k(y) = -2*y**5 + y**4 + y**3 + 13*y**2 - 8*y + 5. Let f(o) = -o**4 + o**3 - o**2 - 1. Let w(g) = 5*f(g) + k(g). Factor w(h).
-2*h*(h - 1)**2*(h + 2)**2
Let x be (-3 - -5)*(-3)/6. Let w be -4*-2*x/(-4). Solve -3/4*h**w - 3/4*h - 1/4*h**3 - 1/4 = 0 for h.
-1
Let h(j) be the second derivative of -j**5/20 - j**4/4 - j**3/2 - j**2/2 + 3*j. Find t such that h(t) = 0.
-1
Suppose 0*h = -2*h. Let q(t) be the third derivative of 0*t**4 + 0 + 1/120*t**5 + h*t - 1/12*t**3 + t**2. Factor q(z).
(z - 1)*(z + 1)/2
Let q(f) = -5*f**5 - 20*f**4 - 21*f**3 - 14*f**2 + 4*f + 4. Let t(a) = 10*a**5 + 40*a**4 + 43*a**3 + 27*a**2 - 7*a - 7. Let s(g) = 7*q(g) + 4*t(g). Factor s(d).
5*d**2*(d + 1)**2*(d + 2)
Let v(o) be the first derivative of -o**5/10 - o**4/2 + 4*o**2 + 8*o - 6. Let v(g) = 0. Calculate g.
-2, 2
Factor -2/7*p**2 - 50/7 + 20/7*p.
-2*(p - 5)**2/7
Let m(o) be the second derivative of -o**5/30 + o**3/3 - 7*o**2/2 - o. Let d(p) be the first derivative of m(p). Factor d(n).
-2*(n - 1)*(n + 1)
Let a(t) be the third derivative of t**5/120 - t**4/24 - t**3/4 + 11*t**2. Let a(b) = 0. Calculate b.
-1, 3
Let w(g) be the third derivative of -1/9*g**3 + 5*g**2 - 1/270*g**5 + 0 + 0*g - 1/27*g**4. Factor w(x).
-2*(x + 1)*(x + 3)/9
Let g be ((-4)/48)/((-11)/176). Suppose 0*c - g - 1/3*c**3 + c**2 = 0. What is c?
-1, 2
Let a(k) be the third derivative of -k**9/2240 - k**8/1120 + k**7/84 - k**6/30 + k**5/30 + k**2. Let b(m) be the third derivative of a(m). Factor b(g).
-3*(g + 2)*(3*g - 2)**2
Let y(f) = 5*f**2 + 7*f + 0 + 4 - 3*f. Let b(o) = -o**2. Let z(g) = 4*b(g) + y(g). Factor z(j).
(j + 2)**2
Suppose 0*m - 3*m + 10 = -4*d, -2*m + 22 = 5*d. Suppose g + g = m. Suppose 3*j**2 + 1/2*j**4 - 2*j - 2*j**g + 1/2 = 0. What is j?
1
Suppose 8 = -d + b, b - 5 = -5*d - 15. Let o(z) = z**2 - 5. Let s be o(d). Let 7/2*c**2 + c + 0 + 1/2*c**5 + 5/2*c**s + 9/2*c**3 = 0. What is c?
-2, -1, 0
Suppose n + 88 = 5*n. Let o(i) = -i**3 + 7*i**2. Let j(x) = -8*x**2 - 4*x**2 + 10*x**2. Let b(c) = n*j(c) + 6*o(c). Factor b(h).
-2*h**2*(3*h + 1)
Let u(j) be the third derivative of j**7/1260 + j**6/180 + j**5/60 + j**4/6 - 2*j**2. Let m(d) be the second derivative of u(d). Factor m(z).
2*(z + 1)**2
Let m(o) be the first derivative of 0*o + 0*o**2 + 0*o**4 + 7 + 0*o**3 - 1/15*o**6 + 4/25*o**5. Solve m(v) = 0.
0, 2
Let z = 2/11 + 3/44. Determine c, given that 1/4*c + z*c**2 - 1/2 = 0.
-2, 1
Let g(o) be the second derivative of -o**5/80 + o**4/12 - o**3/6 - 5*o. Factor g(f).
-f*(f - 2)**2/4
Let b(p) = 7*p + 1. Let s be b(-5). Let h = s + 242/7. What is t in -2/7*t**3 - 2/7*t + 0 + h*t**2 = 0?
0, 1
Let g be (-5)/((-75)/37) - 2. Let p(s) be the first derivative of 0*s**3 - 1 + g*s**5 + 0*s**2 - 1/6*s**4 + 0*s. Find a such that p(a) = 0.
0, 2/7
Let g = 17 - 12. Let o(y) = 4*y - g + 3*y**2 - y**2 + 2*y. Let s(j) = 9*j**2 + 23*j - 19. Let x(r) = 22*o(r) - 6*s(r). Factor x(d).
-2*(d + 1)*(5*d - 2)
Let c(q) be the third derivative of -1/270*q**5 + 4/27*q**3 + 0 + 0*q + 3*q**2 + 0*q**4. Factor c(s).
-2*(s - 2)*(s + 2)/9
Let o(d) = -d - 10. Let x be o(-12). Suppose x + 0*p**3 - 4*p**2 - 3*p**2 + 2*p - 2*p**3 + 5*p**2 = 0. What is p?
-1, 1
Let w(v) = 20*v**2 + 6*v - 26. Let l(x) = 4*x**2 + x - 5. Let i(k) = -14*l(k) + 3*w(k). Factor i(h).
4*(h - 1)*(h + 2)
Factor 3/7*d**3 + 4/7 + 8/7*d - 11/7*d**2.
(d - 2)**2*(3*d + 1)/7
Let c(s) = -s**2 - 9*s + 2. Let a be c(-9). Suppose -2/11*u**a + 0 + 2/11*u = 0. What is u?
0, 1
Solve -59*m**2 + 29*m**2 - 4*m**3 + 22*m**2 = 0 for m.
-2, 0
Let q(i) = i**2 - i - 1. Let w(y) = 7*y**2 - 4*y - 5. Let k(p) = 6*q(p) - w(p). Factor k(b).
-(b + 1)**2
Let b = -151 - -911/6. Let g = b + -1/2. Find d, given that -1/3 + 0*d + g*d**2 = 0.
-1, 1
Factor a**2 - 14 + 2 - 4*a**2 + 12*a.
-3*(a - 2)**2
Determine n so that 1/4*n**2 - 1/4 + 0*n = 0.
-1, 1
Let b(x) be the first derivative of -5*x**5/12 - 5*x**4/6 - 2*x**3/3 - x**2/2 + 1. Let h(v) be the second derivative of b(v). Factor h(d).
-(5*d + 2)**2
Let i(w) be the second derivative of -1/3*w**3 - 1/540*w**6 - w + 0 + 0*w**2 - 1/27*w**4 + 2/135*w**5. Let f(u) be the second derivative of i(u). Factor f(k).
-2*(k - 2)*(3*k - 2)/9
Let u(x) be the second derivative of 0*x**2 + 4*x + 0*x**3 + 0*x**4 + 0*x**5 - 1/45*x**6 + 1/126*x**7 + 0. Suppose u(c) = 0. What is c?
0, 2
Factor 2*w**3 - 3*w + w + 2*w**3 + w**5 - 3*w**5.
-2*w*(w - 1)**2*(w + 1)**2
Let a be (-2 - 2) + 8 + 0. Let g(s) be the first derivative of 0*s**2 - a + 1/3*s**3 + 0*s**4 - 1/5*s**5 + 0*s. Let g(p) = 0. What is p?
-1, 0, 1
What is a in -201/5*a**2 - 12/5 - 87/5*a**4 + 87/5*a + 12/5*a**5 + 201/5*a**3 = 0?
1/4, 1, 4
Let k(d) be the third derivative of d**7/840 + d**6/120 + d**5/40 + d**4/24 + d**3/2 - 4*d**2. Let o(t) be the first derivative of k(t). Factor o(i).
(i + 1)**3
Solve 7/2*t**2 + 0 + 2*t**3 - t = 0.
-2, 0, 1/4
Let n be 53/(1*(0 + -3)). Let c = n - -18. Factor 0 + c*v**2 + 1/3*v.
v*(v + 1)/3
Let f(o) be the second derivative of -o**7/210 - o**6/60 + o**5/60 + o**4/12 - o**2/2 + o. Let u(n) be the first derivative of f(n). Factor u(a).
-a*(a - 1)*(a + 1)*(a + 2)
Let b(f) be the third derivative of -f**8/80640 + f**7/5040 - f**6/960 + f**5/30 - f**2. Let x(t) be the third derivative of b(t). Suppose x(p) = 0. What is p?
1, 3
Let d(w) be the first derivative of w**3/3 - w**2/2 - 9*w - 11. Let k be d(4). Suppose 1/4*y - 1/4*y**k + 1/4*y**2 - 1/4 = 0. What is y