2 + 2*n**k + 24*n**3 - 12*n + 3*n**4 = 0. What is n?
-1, 1/4, 1
Suppose 0 = 9*x - 2 - 25. Let y(r) be the second derivative of -7*r + 1/6*r**2 + 1/30*r**5 - 1/90*r**6 + 0 + 0*r**4 - 1/9*r**x. Solve y(g) = 0 for g.
-1, 1
Let d be 2 - 0 - (-8)/8. Factor 337*h**2 + 0*h**3 + 2*h - 7*h**d - 350*h**2.
-h*(h + 2)*(7*h - 1)
Let f = -29 + 31. Factor -8*j**f - 7*j + 2*j - j**3 - 3*j**3 + j.
-4*j*(j + 1)**2
Let n(h) = 66*h**2 - 885*h - 2115. Let z(t) = -5*t**2 + 68*t + 162. Let q(l) = -2*n(l) - 27*z(l). Determine f, given that q(f) = 0.
-2, 24
Let x(l) be the first derivative of -l**7/210 + l**6/30 + l**5/10 - l**4/6 - 5*l**3/6 - 27*l**2/2 - 7. Let r(d) be the second derivative of x(d). Factor r(o).
-(o - 5)*(o - 1)*(o + 1)**2
Determine g so that 10*g**3 - 4 + 4*g**2 + 4*g**3 + 5*g**3 + g**3 + g - 21*g**3 = 0.
-1, 1, 4
Let a(k) = -k + 2. Let u be a(-6). Let c be u/16 + (-5)/(-2). Let p**c + 2*p**4 + 0*p**3 - 3*p**3 = 0. Calculate p.
0, 1
Let g(w) be the third derivative of 23*w**2 + 0 + 1/140*w**5 + 0*w**3 + 1/490*w**7 - 1/140*w**6 + 0*w + 0*w**4. Find d, given that g(d) = 0.
0, 1
Let p(s) = -4*s - 5. Let v be p(-2). Let m = 1/76 - -145/532. Find f such that -4/7*f**2 + 2/7 - 2/7*f + m*f**4 + 4/7*f**v - 2/7*f**5 = 0.
-1, 1
Let a be (-6)/(-9) - ((-60)/18 - -2). Let c(j) be the second derivative of 4/7*j**a - 4/7*j**3 - 7*j + 3/14*j**4 + 0. Determine x so that c(x) = 0.
2/3
Let o(v) be the second derivative of v**8/2240 + v**7/2520 - v**6/360 - 53*v**4/12 - 8*v. Let i(f) be the third derivative of o(f). Factor i(c).
c*(c + 1)*(3*c - 2)
Let n(l) be the second derivative of l**7/56 + l**6/10 - 3*l**5/10 - 7*l**4/8 + 7*l**3/8 + 15*l**2/4 - 620*l. What is r in n(r) = 0?
-5, -1, 1, 2
Factor 45/7*y - 6 - 3/7*y**2.
-3*(y - 14)*(y - 1)/7
Let r(n) be the third derivative of -n**7/4620 + n**6/495 - n**5/165 + n**3/6 - 4*n**2. Let m(d) be the first derivative of r(d). Factor m(v).
-2*v*(v - 2)**2/11
Let g(q) be the third derivative of -q**11/1247400 + q**10/1134000 + q**9/453600 + 7*q**5/30 - 5*q**2. Let t(k) be the third derivative of g(k). Solve t(c) = 0.
-1/2, 0, 1
Let p(q) be the second derivative of 1/4*q**3 - 5/8*q**2 + 0 - 7*q - 1/48*q**4. Solve p(o) = 0 for o.
1, 5
Let c(l) = -l**5 - 2*l**3 - l**2. Let d(i) = -4*i**5 - 6*i**4 + 30*i**3 + 76*i**2 + 40*i. Let s(q) = -2*c(q) + d(q). Let s(b) = 0. Calculate b.
-5, -1, 0, 4
Let a(s) be the third derivative of -s**5/70 + 13*s**4/42 + 3*s**3/7 + 72*s**2. Factor a(c).
-2*(c - 9)*(3*c + 1)/7
Let n(o) be the first derivative of 0*o**3 + 2/3*o**6 + 0*o**2 + o**4 + 0*o + 8/5*o**5 - 11. Factor n(t).
4*t**3*(t + 1)**2
Let d(r) be the third derivative of -r**5/210 - 11*r**4/42 + 16*r**3/7 + 261*r**2. Find y such that d(y) = 0.
-24, 2
Let t be ((-2)/10)/((-2520)/75). Let j(i) be the second derivative of -6*i + t*i**7 + 0 + 0*i**6 - 1/80*i**5 + 0*i**3 + 0*i**4 + 0*i**2. Factor j(d).
d**3*(d - 1)*(d + 1)/4
Let z(h) = 7*h**3 + 12*h**2 + 16*h + 4. Let y(k) = k**3 + k + 1. Let a(q) = q**3 - 8*q**2 - 4. Let v be a(8). Let s(t) = v*y(t) + z(t). Factor s(f).
3*f*(f + 2)**2
Suppose -30 = -2*g - 2*o - 38, -4*g = 3*o + 12. Let x(t) be the third derivative of g + 1/15*t**5 + 2*t**2 + 0*t - 1/2*t**4 - 8/3*t**3. Factor x(y).
4*(y - 4)*(y + 1)
Let i(f) be the third derivative of f**7/20160 + f**6/960 + f**5/192 - f**4/2 + 8*f**2. Let q(n) be the second derivative of i(n). Factor q(y).
(y + 1)*(y + 5)/8
Factor -196*w + 104*w**2 - 88 - 106*w**2 + 106*w.
-2*(w + 1)*(w + 44)
Let p = -3893/7 - -12127/21. Solve -16/3 - 20/3*q**3 - p*q - 68/3*q**2 = 0.
-2, -1, -2/5
Let n(g) be the third derivative of -g**8/672 + g**7/210 + g**6/80 - g**5/30 - g**4/12 + 485*g**2 - 2*g. Factor n(a).
-a*(a - 2)**2*(a + 1)**2/2
Let c(q) be the second derivative of q**5/130 + 3*q**4/26 - q**3/39 - 9*q**2/13 - 482*q. Let c(n) = 0. Calculate n.
-9, -1, 1
Let z(r) be the third derivative of 2*r**6/15 + 49*r**5/15 - 20*r**4/3 - 26*r**3/3 - 60*r**2. Let z(g) = 0. Calculate g.
-13, -1/4, 1
Let v be (-1*1)/(-2) + 186/12. Let n be 3 + -1*v/6. Factor -1/3*y**4 + 1/3*y**2 - 1/3*y**5 + 0*y + n*y**3 + 0.
-y**2*(y - 1)*(y + 1)**2/3
Let t(g) be the second derivative of -7*g**6/90 + g**5/30 + 16*g + 6. Suppose t(l) = 0. Calculate l.
0, 2/7
Factor 65*d - 17 - 20*d - 4 + 0*d**2 - 11*d**2 + 5*d**2.
-3*(d - 7)*(2*d - 1)
Let l(g) be the second derivative of -2*g + 2*g**3 + 0*g**2 + 0 - 1/3*g**4. Solve l(b) = 0 for b.
0, 3
Let c(a) be the third derivative of 0*a**4 + 13*a**2 + 0 - 2/15*a**5 + 2/105*a**7 + 0*a**3 + 0*a + 1/30*a**6. Let c(r) = 0. What is r?
-2, 0, 1
Let z(m) be the second derivative of 0 - 3*m - 5/6*m**4 + 2/21*m**7 + 9/10*m**5 + 0*m**2 - 7/15*m**6 + 1/3*m**3. Solve z(q) = 0.
0, 1/2, 1
Let b be ((-14)/35)/(2/(-10)). Let t be b/8 - 535/(-20). What is a in 6*a**2 - 36*a**3 - t*a**4 - 11 + 6*a + 6*a + 8 = 0?
-1, 1/3
Let t(p) = 4*p + 1. Let l be t(-1). Let z be 20 - (4 - 1) - l. Factor 13*u + 4*u**3 + 7*u + 5 + 3 + z*u**2 - 4*u**2.
4*(u + 1)**2*(u + 2)
Let h(f) be the third derivative of 5*f**8/672 - 101*f**7/840 + f**6/60 + f**5/12 - 388*f**2. Solve h(u) = 0 for u.
-2/5, 0, 1/2, 10
Let d be (6/2)/(-6)*-26. Let i(m) be the first derivative of -22*m**3 - 3*m**2 + 10*m**3 - 5 + 3*m + d*m**3. Determine u so that i(u) = 0.
1
Let p(u) be the first derivative of -8*u**2 + 1/2*u**4 - 4/3*u**3 - 1 + 0*u. Solve p(i) = 0.
-2, 0, 4
Let j be 7/(-35) - 26/(-5). Suppose 3*n + 2 = 5*p - 3, p + 21 = j*n. Factor -8*t**2 - t**4 + 15*t**4 + 19*t**3 + n*t**3.
2*t**2*(t + 2)*(7*t - 2)
Let v(y) be the second derivative of 0 + 0*y**3 - 1/462*y**7 + 1/132*y**4 + 23*y - 1/330*y**6 + 0*y**2 + 1/220*y**5. Factor v(w).
-w**2*(w - 1)*(w + 1)**2/11
Let t(v) be the third derivative of v**6/120 - v**5/30 - v**4/6 + 4*v**3/3 + v**2 - 4*v. Factor t(b).
(b - 2)**2*(b + 2)
Let d = 42 + -39. Determine v, given that -12*v**4 + 4 - 3*v**3 + 11*v**2 - 4*v**5 + 0*v**2 - 3*v**2 - 5*v**d + 12*v = 0.
-1, 1
Let h(d) be the third derivative of d**7/630 - d**6/360 - d**5/36 - d**4/24 - 7*d**2. Factor h(j).
j*(j - 3)*(j + 1)**2/3
Let y = 17/14 - -397/42. Determine k, given that y - 16/3*k + 2/3*k**2 = 0.
4
Factor -8*l + 0 + 1/6*l**3 + 4/3*l**2.
l*(l - 4)*(l + 12)/6
Let a(s) be the third derivative of s**7/1260 - 7*s**6/720 - s**5/20 - 493*s**2. Factor a(i).
i**2*(i - 9)*(i + 2)/6
Let v(l) = -l**2 + 92*l - 2119. Let u(f) = -2*f**2 + 184*f - 4237. Let b(j) = 3*u(j) - 5*v(j). Find o, given that b(o) = 0.
46
Let z(g) = -40*g - 32. Let t(l) = l**2 - 37*l - 32. Let d(u) = -4*t(u) + 3*z(u). Determine b so that d(b) = 0.
-1, 8
Suppose 3*m + 7 + 5 = 0, 4*c - 4*m = 32. Factor 0*i**3 + 2*i**3 + c*i**3 + 2*i**4 - 4*i**2 + 8*i**2.
2*i**2*(i + 1)*(i + 2)
Find s such that 525/4*s**2 + 465/4*s + 235/4*s**3 + 15/2*s**4 + 145/4 = 0.
-29/6, -1
Factor 14*n**3 - 18*n**4 + 2*n**5 + 151*n + 150*n - 317*n + 18*n**2.
2*n*(n - 8)*(n - 1)**2*(n + 1)
Let t(p) = 9*p**3 + 79*p**2 + 63*p - 7. Let u(r) = -3*r**3 - 26*r**2 - 21*r + 2. Let a(k) = 2*t(k) + 7*u(k). Factor a(x).
-3*x*(x + 1)*(x + 7)
Suppose 6*x - 3*x = 2*n + 11, -2*n - 6 = -2*x. Suppose -5*t - t**2 - 10 + 1 + x = 0. Calculate t.
-4, -1
Let q(x) = -17*x**3 + 40*x + 7. Let u(m) = -8*m**3 + 20*m + 3. Let k(t) = -3*q(t) + 7*u(t). What is d in k(d) = 0?
-2, 0, 2
Let g = -165 - -169. Let p(f) be the first derivative of 1/6*f**g + 2 + 0*f**2 - 2/27*f**3 + 0*f - 2/15*f**5 + 1/27*f**6. Determine x so that p(x) = 0.
0, 1
Let u(b) be the first derivative of -b**6/720 - 13*b**5/120 - 169*b**4/48 + 34*b**3/3 - 42. Let f(k) be the third derivative of u(k). Let f(t) = 0. Calculate t.
-13
Let i be 84/18 + 1/3. Suppose 12*u**2 - 26*u**i + 4*u**3 - u**4 - 8*u - 11*u**4 + 30*u**5 = 0. Calculate u.
-1, 0, 1, 2
Let w(u) be the second derivative of 0 + 12*u + 1/3*u**2 + 1/6*u**3 + 1/36*u**4. Factor w(q).
(q + 1)*(q + 2)/3
Let v(h) be the first derivative of -h**6/3 - 12*h**5/5 - 7*h**4/2 + 4*h**3 + 8*h**2 - 182. Determine o so that v(o) = 0.
-4, -2, -1, 0, 1
Let o(a) = a**3 + a**2 + a. Let p(v) = v**4 + 5*v**3 + 4*v**2 + 2*v. Let s = 53 + -59. Let k(q) = s*o(q) + 3*p(q). Factor k(y).
3*y**2*(y + 1)*(y + 2)
Suppose 18*j = 28*j - 52*j - 12*j. Suppose 2/9*w**3 + j + 0*w**2 - 2/9*w = 0. Calculate w.
-1, 0, 1
Suppose 203*d = 27*d - 158*d + 668. Let -32/5 + 168/5*g + 42/5*g**3 - 208/5*g**d = 0. What is g?
2/7, 2/3, 4