*n + 0*n + 15*n**2 - n**4 - 8*n**3 = 0?
-2, -1, 0, 1/3
Let i(d) = -d**3 - 3*d**2 + 4*d + 4. Let m be i(-4). Suppose 0 = -3*f - 4*v + 380, 120 = m*f - 3*f - 2*v. What is p in p + f*p**3 - p - 2*p**2 - 123*p**3 = 0?
0, 2
Let m(t) be the third derivative of -t**7/1680 - t**6/240 + t**5/10 + 3*t**4/4 - 33*t**2. Let y(h) be the second derivative of m(h). Factor y(c).
-3*(c - 2)*(c + 4)/2
Let a(k) = 6*k**3 - 6*k**2 - 17*k. Let s be 1 - (-6)/(-4)*16/6. Let x(y) = -3*y**3 + 3*y**2 + 9*y. Let c(m) = s*a(m) - 5*x(m). Factor c(r).
-3*r*(r - 2)*(r + 1)
Let u(w) be the first derivative of 5*w**4/4 + 50*w**3/3 + 30*w**2 - 360*w + 380. Solve u(r) = 0.
-6, 2
Let a(n) be the second derivative of 5*n**7/42 - 8*n**6/3 + 6*n**5 + 400*n**4/3 + 1000*n**3/3 + 68*n. Let a(v) = 0. Calculate v.
-2, 0, 10
Let j(k) = -3*k**3 + 8*k**2 + 15*k - 10. Let p(y) = -16*y**3 + 40*y**2 + 77*y - 46. Let w(x) = 11*j(x) - 2*p(x). Factor w(r).
-(r - 9)*(r - 1)*(r + 2)
Let u be (8/6)/(182/39). Determine z so that -4/7*z**3 + 2/7*z**2 - u*z**4 + 4/7*z + 0 = 0.
-2, -1, 0, 1
Let t(x) be the second derivative of -x**5/4 - 5*x**4/6 + 10*x**3/3 + 20*x**2 - 118*x. Factor t(w).
-5*(w - 2)*(w + 2)**2
Let n(z) = z**3 - 6*z**2 + 2. Let b be n(4). Let o = b - -33. What is m in m**o - 7*m**3 + 1 + 3 - 11*m**2 + 9*m**4 + 4*m = 0?
-2/3, 1
Let g(c) be the second derivative of 3*c**5/20 - 5*c**4/4 + 63*c. Factor g(b).
3*b**2*(b - 5)
Suppose -8*v - 4 = -7*v. Let s = 8 + v. Determine b so that -95*b**3 + 7*b - 3*b**2 - s*b - 1 + 96*b**3 = 0.
1
Let h(o) be the first derivative of -o**5 - 45*o**4 + 185*o**3/3 + 36. Factor h(n).
-5*n**2*(n - 1)*(n + 37)
Let g be 0 - 0/((-8)/(-4)). What is s in g*s**2 + s**2 + 828 - 832 = 0?
-2, 2
Let u = -74 - -10. Let t be u/(-10) - (-6)/10. Let -t*j**5 - 14*j**3 + j**5 - 4*j**4 - 12*j**4 - 4*j**2 = 0. What is j?
-1, -2/3, 0
Let x(m) be the second derivative of -4*m**5/5 + 3*m**4 - 4*m**3 + 2*m**2 - 2*m - 6. Factor x(n).
-4*(n - 1)**2*(4*n - 1)
Suppose 115*c - 174 = 28*c. Let z(j) be the first derivative of 2/5*j**5 - 7 + c*j**2 - 2/3*j**3 + 0*j - j**4. Suppose z(n) = 0. Calculate n.
-1, 0, 1, 2
Let q(v) be the second derivative of 0*v**4 + 0*v**5 + 0*v**3 + 0 + 0*v**2 - 1/75*v**6 + 1/30*v**7 - 9*v. Factor q(l).
l**4*(7*l - 2)/5
Let t(w) be the second derivative of w**7/273 + 2*w**6/65 + w**5/26 + 32*w - 2. What is z in t(z) = 0?
-5, -1, 0
Suppose 2*n + 4*t - t = -10, 0 = t. Let k be (n/(-15))/(0 + (-4)/(-6)). Suppose 3/2 + 1/2*r - 3/2*r**2 - k*r**3 = 0. What is r?
-3, -1, 1
Let o be (-8)/(-30) - (-4)/(-60). Factor -o*i**2 - 1/5*i + 0 + i**3 - 3/5*i**4.
-i*(i - 1)**2*(3*i + 1)/5
Let w(f) be the second derivative of -f**6/20 + f**5/20 - f**4/48 - 8*f**3/3 - 19*f. Let i(u) be the second derivative of w(u). Find y such that i(y) = 0.
1/6
Let t(y) be the third derivative of -4/15*y**4 + 0*y + 0 + 1/5*y**3 + 27*y**2 + 1/30*y**5. Factor t(x).
2*(x - 3)*(5*x - 1)/5
Let s = -4854 + 4856. Factor 4/7*c + 2*c**s - 8/7*c**3 + 0.
-2*c*(c - 2)*(4*c + 1)/7
Let d(s) = -15*s**3 - 82*s**2 - 138*s - 46. Let m(v) = -5*v**3 - 27*v**2 - 46*v - 16. Let h(g) = 4*d(g) - 11*m(g). Suppose h(o) = 0. What is o?
-4, -2, -1/5
Let j(f) = -f**2 - 6*f + 6. Let p be j(-6). Let a(x) be the first derivative of 0*x - 2/5*x**2 - 2/3*x**3 - 3/10*x**4 - 3 + 1/15*x**p + 2/25*x**5. Factor a(v).
2*v*(v - 2)*(v + 1)**3/5
Find m, given that -80*m**4 - 27*m - 580*m**3 - 4*m**5 - 864 - 908*m - 1800*m**2 - 1225*m = 0.
-6, -1
Let q = -321 + 324. Let a(h) be the third derivative of 1/30*h**5 + 0*h**q + 0 - 2*h**2 + 1/105*h**7 + 0*h + 0*h**4 + 1/30*h**6. Factor a(f).
2*f**2*(f + 1)**2
Find v, given that -242*v**2 + 36*v + 45 - 7 + 240*v**2 = 0.
-1, 19
Let j be (-20)/(-1)*184/48. Let m = j - 1132/15. Suppose -3/5 - 3/5*f**5 - 6/5*f**2 - m*f**3 + 9/5*f**4 + 9/5*f = 0. Calculate f.
-1, 1
Let n(j) be the first derivative of j**6/48 + 3*j**5/40 + j**4/16 - 272. Solve n(t) = 0 for t.
-2, -1, 0
Let g be 210 + 2/(-4)*8. Suppose g*s = 208*s. Let 1/3 - 2/3*v**3 + 2/3*v - 1/3*v**4 + s*v**2 = 0. Calculate v.
-1, 1
Let y be (-1604)/14*10/20. Let h = -57 - y. Factor 2/7 - 4/7*f + h*f**2.
2*(f - 1)**2/7
Let u = -349 - -352. Let o(r) be the first derivative of -2/11*r - 2/11*r**2 - 2/33*r**u - 3. Factor o(g).
-2*(g + 1)**2/11
Find q such that -6 - 3*q**4 + 0*q**5 + q**5 + 25*q - 4*q**4 - 273*q**3 + 303*q**3 - 40*q**2 - 3*q**4 = 0.
1, 6
Solve -x**2 + 23*x**2 + 5*x + 109 - 279 - 2*x**2 + 100 = 0.
-2, 7/4
Let d(y) be the third derivative of y**5/5 - 17*y**4/3 + 22*y**3/3 + 774*y**2. Factor d(x).
4*(x - 11)*(3*x - 1)
Let r(o) be the second derivative of o**4/108 + o**3/6 - 5*o**2/9 + 365*o. Determine w so that r(w) = 0.
-10, 1
Let l(k) = -k + 4. Let y be l(4). Suppose 4*o - 5*d + 6 + 3 = y, d = -3*o + 17. What is t in -t + 4*t**3 - 7*t - o - 5*t**3 - 5*t**2 = 0?
-2, -1
Let r(d) be the first derivative of -d**4/30 + 28*d**3/15 - 132*d**2/5 - 1936*d/15 + 613. Find q such that r(q) = 0.
-2, 22
Let b = 1458/119 - 201/17. Factor -3/7*d - 33/7*d**3 + b - 12/7*d**4 - 27/7*d**2.
-3*(d + 1)**3*(4*d - 1)/7
Let h(f) = 23*f**3 - 23*f - 8. Let t(x) be the first derivative of 2*x**4 - 4*x**2 - 3*x - 31. Let p(j) = -3*h(j) + 8*t(j). Factor p(s).
-5*s*(s - 1)*(s + 1)
Let f be 10 + 8 + (128/1)/(-8). Factor 2/3 - v - 5/3*v**f.
-(v + 1)*(5*v - 2)/3
Let y(h) be the first derivative of 35*h**6/6 + 5*h**5 - 45*h**4/4 - 25*h**3/3 + 5*h**2 - 68. What is m in y(m) = 0?
-1, 0, 2/7, 1
Suppose 2*j - 3*u = 3*j - 95, -4*u + 420 = 5*j. Factor -42 - 54 + j + 20*l - 4*l**2.
-4*(l - 4)*(l - 1)
Let b be ((-7)/21 + 20/6)/1. What is c in 8*c - 135*c**2 + 12*c**4 + 0*c**4 - 16*c**b + 131*c**2 = 0?
-2/3, 0, 1
Let w = 351 - 1752/5. Let n(o) be the first derivative of w*o**5 + 0*o**2 + 0*o - o**3 + 1 + 0*o**4. Suppose n(p) = 0. What is p?
-1, 0, 1
Suppose -5 = d - 6*d. Let c(p) = 49*p - 1. Let k be c(d). Let -23*n**5 + 2*n**5 + 12*n + 48*n**2 + 5*n**3 - k*n**4 + 4*n**3 = 0. What is n?
-2, -1, -2/7, 0, 1
Let u(g) = 64*g**3 - g**2 + g. Let w be u(1). Find q, given that 0*q + q - 7*q**2 - w*q**3 + 73*q**3 - 3*q = 0.
-2/9, 0, 1
Let o be 21/(-6)*4/(-7)*1. Factor 0*s**2 + 15*s**2 - 3 + 5*s**2 - o.
5*(2*s - 1)*(2*s + 1)
Suppose 102*c = 93*c + 9. Let b(z) be the first derivative of -c + 1/3*z**2 + 0*z - 1/4*z**4 + 1/9*z**3. Factor b(o).
-o*(o - 1)*(3*o + 2)/3
Let a(m) be the first derivative of -m**7/5460 + m**5/260 + m**4/78 - 16*m**3/3 - 16. Let f(c) be the third derivative of a(c). Let f(d) = 0. Calculate d.
-1, 2
Suppose -4*o - 92 = f + 164, 776 = -3*f - 4*o. Let k = f + 1303/5. Factor 0*h + 9/5*h**4 - 3/5*h**5 - 9/5*h**3 + k*h**2 + 0.
-3*h**2*(h - 1)**3/5
Let v(f) be the third derivative of 1/20*f**6 - 1/105*f**7 + 0*f**5 + 0*f**3 + 0*f**4 + 0 + 3*f**2 + 0*f. Find u such that v(u) = 0.
0, 3
Let f(g) = g**2 - 19*g + 3. Let i be f(19). Let z(p) be the second derivative of 0 - 1/20*p**5 + 1/6*p**i + 1/36*p**4 - 1/6*p**2 + 4*p. Factor z(h).
-(h - 1)*(h + 1)*(3*h - 1)/3
Find a such that 3/2*a + 2*a**2 + 1/2*a**3 + 0 = 0.
-3, -1, 0
Determine b so that -256*b - 993*b**3 + 997*b**3 - 17*b**2 - 272 - 35*b**2 = 0.
-2, 17
Let u(v) be the second derivative of v**7/6300 + v**6/1800 - v**5/150 - v**4/3 - 8*v. Let j(k) be the third derivative of u(k). What is p in j(p) = 0?
-2, 1
Let n(b) be the third derivative of -b**9/5040 - b**8/2240 + b**7/210 + b**6/60 - 7*b**4/24 - 22*b**2. Let r(c) be the second derivative of n(c). Factor r(q).
-3*q*(q - 2)*(q + 1)*(q + 2)
Factor 25/11*p**3 + 0*p - 24/11*p**2 - 1/11*p**4 + 0.
-p**2*(p - 24)*(p - 1)/11
Let o(r) be the first derivative of r**4/24 - 5*r**3/18 - 25*r**2/12 + 125*r/6 - 154. Factor o(g).
(g - 5)**2*(g + 5)/6
Determine a so that 418/7*a**4 + 18/7*a**5 + 848/7*a**3 + 0 + 24*a**2 + 0*a = 0.
-21, -2, -2/9, 0
Let z(o) = -27*o - 18. Let q be z(4). Let j = q + 632/5. Suppose 0*y**3 + 2/5 - 4/5*y**2 + 0*y + j*y**4 = 0. Calculate y.
-1, 1
Let u = -14588 - -29177/2. Factor u*j**4 + 8*j**2 + 0*j + 0 + 4*j**3.
j**2*(j + 4)**2/2
Factor -4/7*d**2 + 0 + 18/7*d**5 + 32/7*d**4 + 0*d + 10/7*d**3.
2*d**2*(d + 1)**2*(9*d - 2)/7
Let w(u) be the second derivative of u**5/16 - u**4/16 - 5*u**2 - 2*u. Let r(g) be the first derivative of w(g). Suppose r(i) = 0. Calculate i.
0, 2/5
What is j in 22 + 105*j - 3*j**2 + 2 - 99*j = 0?
-2, 4
Let t be 736/(-16)*-1*1. Suppose -